Properties

Label 462.2.w.b.29.8
Level $462$
Weight $2$
Character 462.29
Analytic conductor $3.689$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 462 = 2 \cdot 3 \cdot 7 \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 462.w (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.68908857338\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(12\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 29.8
Character \(\chi\) \(=\) 462.29
Dual form 462.2.w.b.239.8

$q$-expansion

\(f(q)\) \(=\) \(q+(0.809017 + 0.587785i) q^{2} +(0.794507 - 1.53908i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.43689 - 1.97771i) q^{5} +(1.54742 - 0.778140i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-1.73752 - 2.44562i) q^{9} +O(q^{10})\) \(q+(0.809017 + 0.587785i) q^{2} +(0.794507 - 1.53908i) q^{3} +(0.309017 + 0.951057i) q^{4} +(-1.43689 - 1.97771i) q^{5} +(1.54742 - 0.778140i) q^{6} +(-0.951057 + 0.309017i) q^{7} +(-0.309017 + 0.951057i) q^{8} +(-1.73752 - 2.44562i) q^{9} -2.44458i q^{10} +(-1.53536 - 2.93984i) q^{11} +(1.70927 + 0.280020i) q^{12} +(4.02784 - 5.54385i) q^{13} +(-0.951057 - 0.309017i) q^{14} +(-4.18546 + 0.640180i) q^{15} +(-0.809017 + 0.587785i) q^{16} +(-1.36689 + 0.993107i) q^{17} +(0.0318154 - 2.99983i) q^{18} +(6.15014 + 1.99830i) q^{19} +(1.43689 - 1.97771i) q^{20} +(-0.280020 + 1.70927i) q^{21} +(0.485860 - 3.28084i) q^{22} +5.69092i q^{23} +(1.21823 + 1.23122i) q^{24} +(-0.301591 + 0.928202i) q^{25} +(6.51718 - 2.11756i) q^{26} +(-5.14446 + 0.731115i) q^{27} +(-0.587785 - 0.809017i) q^{28} +(-1.73027 - 5.32522i) q^{29} +(-3.76240 - 1.94224i) q^{30} +(-0.638022 - 0.463550i) q^{31} -1.00000 q^{32} +(-5.74450 + 0.0273184i) q^{33} -1.68957 q^{34} +(1.97771 + 1.43689i) q^{35} +(1.78900 - 2.40821i) q^{36} +(2.12167 + 6.52982i) q^{37} +(3.80100 + 5.23162i) q^{38} +(-5.33226 - 10.6038i) q^{39} +(2.32493 - 0.755417i) q^{40} +(-2.79393 + 8.59884i) q^{41} +(-1.23122 + 1.21823i) q^{42} -6.16717i q^{43} +(2.32150 - 2.36868i) q^{44} +(-2.34009 + 6.95037i) q^{45} +(-3.34504 + 4.60405i) q^{46} +(4.81667 + 1.56503i) q^{47} +(0.261877 + 1.71214i) q^{48} +(0.809017 - 0.587785i) q^{49} +(-0.789576 + 0.573660i) q^{50} +(0.442461 + 2.89279i) q^{51} +(6.51718 + 2.11756i) q^{52} +(-0.765951 + 1.05424i) q^{53} +(-4.59169 - 2.43235i) q^{54} +(-3.60800 + 7.26072i) q^{55} -1.00000i q^{56} +(7.96187 - 7.87788i) q^{57} +(1.73027 - 5.32522i) q^{58} +(13.0119 - 4.22781i) q^{59} +(-1.90223 - 3.78278i) q^{60} +(5.87948 + 8.09241i) q^{61} +(-0.243703 - 0.750040i) q^{62} +(2.40821 + 1.78900i) q^{63} +(-0.809017 - 0.587785i) q^{64} -16.7517 q^{65} +(-4.66345 - 3.35443i) q^{66} -1.03374 q^{67} +(-1.36689 - 0.993107i) q^{68} +(8.75876 + 4.52147i) q^{69} +(0.755417 + 2.32493i) q^{70} +(4.46190 + 6.14128i) q^{71} +(2.86284 - 0.896741i) q^{72} +(0.108422 - 0.0352283i) q^{73} +(-2.12167 + 6.52982i) q^{74} +(1.18896 + 1.20163i) q^{75} +6.46664i q^{76} +(2.36868 + 2.32150i) q^{77} +(1.91886 - 11.7129i) q^{78} +(-6.14287 + 8.45493i) q^{79} +(2.32493 + 0.755417i) q^{80} +(-2.96207 + 8.49860i) q^{81} +(-7.31461 + 5.31438i) q^{82} +(2.09224 - 1.52010i) q^{83} +(-1.71214 + 0.261877i) q^{84} +(3.92815 + 1.27633i) q^{85} +(3.62497 - 4.98935i) q^{86} +(-9.57063 - 1.56791i) q^{87} +(3.27041 - 0.551756i) q^{88} -11.7971i q^{89} +(-5.97850 + 4.24750i) q^{90} +(-2.11756 + 6.51718i) q^{91} +(-5.41238 + 1.75859i) q^{92} +(-1.22035 + 0.613671i) q^{93} +(2.97687 + 4.09731i) q^{94} +(-4.88501 - 15.0345i) q^{95} +(-0.794507 + 1.53908i) q^{96} +(0.828161 + 0.601694i) q^{97} +1.00000 q^{98} +(-4.52200 + 8.86293i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q + 12q^{2} - 4q^{3} - 12q^{4} + 4q^{6} + 12q^{8} + 10q^{9} + O(q^{10}) \) \( 48q + 12q^{2} - 4q^{3} - 12q^{4} + 4q^{6} + 12q^{8} + 10q^{9} + 8q^{11} + 6q^{12} - 24q^{15} - 12q^{16} + 24q^{17} + 10q^{18} + 30q^{19} - 8q^{22} - 6q^{24} + 18q^{25} + 20q^{26} + 38q^{27} - 8q^{29} - 36q^{30} - 32q^{31} - 48q^{32} + 24q^{33} - 4q^{34} - 6q^{35} - 20q^{37} - 20q^{38} - 34q^{39} - 22q^{44} + 12q^{45} + 20q^{46} - 20q^{47} - 4q^{48} + 12q^{49} - 28q^{50} + 2q^{51} + 20q^{52} - 20q^{53} - 18q^{54} + 16q^{55} + 12q^{57} + 8q^{58} - 30q^{59} - 4q^{60} - 20q^{61} - 8q^{62} - 4q^{63} - 12q^{64} + 46q^{66} + 36q^{67} + 24q^{68} + 30q^{69} - 4q^{70} - 10q^{72} - 20q^{73} + 20q^{74} + 40q^{75} + 16q^{77} - 16q^{78} - 20q^{79} - 54q^{81} - 10q^{82} + 46q^{83} - 10q^{84} + 10q^{85} + 30q^{86} - 8q^{87} - 8q^{88} - 62q^{90} - 36q^{91} - 10q^{92} + 44q^{93} - 50q^{95} + 4q^{96} - 2q^{97} + 48q^{98} - 26q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/462\mathbb{Z}\right)^\times\).

\(n\) \(155\) \(199\) \(211\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{7}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.809017 + 0.587785i 0.572061 + 0.415627i
\(3\) 0.794507 1.53908i 0.458709 0.888587i
\(4\) 0.309017 + 0.951057i 0.154508 + 0.475528i
\(5\) −1.43689 1.97771i −0.642596 0.884457i 0.356155 0.934427i \(-0.384088\pi\)
−0.998751 + 0.0499697i \(0.984088\pi\)
\(6\) 1.54742 0.778140i 0.631730 0.317674i
\(7\) −0.951057 + 0.309017i −0.359466 + 0.116797i
\(8\) −0.309017 + 0.951057i −0.109254 + 0.336249i
\(9\) −1.73752 2.44562i −0.579172 0.815205i
\(10\) 2.44458i 0.773044i
\(11\) −1.53536 2.93984i −0.462929 0.886395i
\(12\) 1.70927 + 0.280020i 0.493422 + 0.0808348i
\(13\) 4.02784 5.54385i 1.11712 1.53759i 0.306638 0.951826i \(-0.400796\pi\)
0.810484 0.585761i \(-0.199204\pi\)
\(14\) −0.951057 0.309017i −0.254181 0.0825883i
\(15\) −4.18546 + 0.640180i −1.08068 + 0.165294i
\(16\) −0.809017 + 0.587785i −0.202254 + 0.146946i
\(17\) −1.36689 + 0.993107i −0.331521 + 0.240864i −0.741076 0.671422i \(-0.765684\pi\)
0.409555 + 0.912285i \(0.365684\pi\)
\(18\) 0.0318154 2.99983i 0.00749897 0.707067i
\(19\) 6.15014 + 1.99830i 1.41094 + 0.458442i 0.912712 0.408605i \(-0.133984\pi\)
0.498227 + 0.867046i \(0.333984\pi\)
\(20\) 1.43689 1.97771i 0.321298 0.442229i
\(21\) −0.280020 + 1.70927i −0.0611054 + 0.372992i
\(22\) 0.485860 3.28084i 0.103586 0.699478i
\(23\) 5.69092i 1.18664i 0.804967 + 0.593319i \(0.202183\pi\)
−0.804967 + 0.593319i \(0.797817\pi\)
\(24\) 1.21823 + 1.23122i 0.248671 + 0.251322i
\(25\) −0.301591 + 0.928202i −0.0603182 + 0.185640i
\(26\) 6.51718 2.11756i 1.27812 0.415288i
\(27\) −5.14446 + 0.731115i −0.990052 + 0.140703i
\(28\) −0.587785 0.809017i −0.111081 0.152890i
\(29\) −1.73027 5.32522i −0.321303 0.988868i −0.973082 0.230459i \(-0.925977\pi\)
0.651779 0.758409i \(-0.274023\pi\)
\(30\) −3.76240 1.94224i −0.686917 0.354602i
\(31\) −0.638022 0.463550i −0.114592 0.0832561i 0.529013 0.848614i \(-0.322562\pi\)
−0.643605 + 0.765358i \(0.722562\pi\)
\(32\) −1.00000 −0.176777
\(33\) −5.74450 + 0.0273184i −0.999989 + 0.00475553i
\(34\) −1.68957 −0.289760
\(35\) 1.97771 + 1.43689i 0.334293 + 0.242878i
\(36\) 1.78900 2.40821i 0.298166 0.401369i
\(37\) 2.12167 + 6.52982i 0.348800 + 1.07350i 0.959518 + 0.281648i \(0.0908809\pi\)
−0.610718 + 0.791848i \(0.709119\pi\)
\(38\) 3.80100 + 5.23162i 0.616603 + 0.848681i
\(39\) −5.33226 10.6038i −0.853845 1.69796i
\(40\) 2.32493 0.755417i 0.367604 0.119442i
\(41\) −2.79393 + 8.59884i −0.436339 + 1.34291i 0.455369 + 0.890303i \(0.349507\pi\)
−0.891708 + 0.452611i \(0.850493\pi\)
\(42\) −1.23122 + 1.21823i −0.189982 + 0.187977i
\(43\) 6.16717i 0.940485i −0.882537 0.470242i \(-0.844167\pi\)
0.882537 0.470242i \(-0.155833\pi\)
\(44\) 2.32150 2.36868i 0.349979 0.357092i
\(45\) −2.34009 + 6.95037i −0.348840 + 1.03610i
\(46\) −3.34504 + 4.60405i −0.493199 + 0.678830i
\(47\) 4.81667 + 1.56503i 0.702584 + 0.228283i 0.638456 0.769658i \(-0.279573\pi\)
0.0641278 + 0.997942i \(0.479573\pi\)
\(48\) 0.261877 + 1.71214i 0.0377987 + 0.247126i
\(49\) 0.809017 0.587785i 0.115574 0.0839693i
\(50\) −0.789576 + 0.573660i −0.111663 + 0.0811278i
\(51\) 0.442461 + 2.89279i 0.0619569 + 0.405071i
\(52\) 6.51718 + 2.11756i 0.903771 + 0.293653i
\(53\) −0.765951 + 1.05424i −0.105212 + 0.144811i −0.858376 0.513021i \(-0.828526\pi\)
0.753165 + 0.657832i \(0.228526\pi\)
\(54\) −4.59169 2.43235i −0.624850 0.331001i
\(55\) −3.60800 + 7.26072i −0.486502 + 0.979035i
\(56\) 1.00000i 0.133631i
\(57\) 7.96187 7.87788i 1.05458 1.04345i
\(58\) 1.73027 5.32522i 0.227195 0.699235i
\(59\) 13.0119 4.22781i 1.69400 0.550414i 0.706456 0.707757i \(-0.250293\pi\)
0.987544 + 0.157343i \(0.0502930\pi\)
\(60\) −1.90223 3.78278i −0.245576 0.488355i
\(61\) 5.87948 + 8.09241i 0.752790 + 1.03613i 0.997780 + 0.0666007i \(0.0212154\pi\)
−0.244990 + 0.969526i \(0.578785\pi\)
\(62\) −0.243703 0.750040i −0.0309503 0.0952552i
\(63\) 2.40821 + 1.78900i 0.303406 + 0.225392i
\(64\) −0.809017 0.587785i −0.101127 0.0734732i
\(65\) −16.7517 −2.07779
\(66\) −4.66345 3.35443i −0.574031 0.412902i
\(67\) −1.03374 −0.126292 −0.0631459 0.998004i \(-0.520113\pi\)
−0.0631459 + 0.998004i \(0.520113\pi\)
\(68\) −1.36689 0.993107i −0.165760 0.120432i
\(69\) 8.75876 + 4.52147i 1.05443 + 0.544321i
\(70\) 0.755417 + 2.32493i 0.0902896 + 0.277883i
\(71\) 4.46190 + 6.14128i 0.529531 + 0.728836i 0.987059 0.160359i \(-0.0512651\pi\)
−0.457528 + 0.889195i \(0.651265\pi\)
\(72\) 2.86284 0.896741i 0.337389 0.105682i
\(73\) 0.108422 0.0352283i 0.0126898 0.00412316i −0.302665 0.953097i \(-0.597876\pi\)
0.315355 + 0.948974i \(0.397876\pi\)
\(74\) −2.12167 + 6.52982i −0.246639 + 0.759076i
\(75\) 1.18896 + 1.20163i 0.137289 + 0.138753i
\(76\) 6.46664i 0.741774i
\(77\) 2.36868 + 2.32150i 0.269936 + 0.264560i
\(78\) 1.91886 11.7129i 0.217268 1.32622i
\(79\) −6.14287 + 8.45493i −0.691127 + 0.951254i 0.308873 + 0.951103i \(0.400048\pi\)
−1.00000 0.000151201i \(0.999952\pi\)
\(80\) 2.32493 + 0.755417i 0.259935 + 0.0844581i
\(81\) −2.96207 + 8.49860i −0.329119 + 0.944289i
\(82\) −7.31461 + 5.31438i −0.807764 + 0.586875i
\(83\) 2.09224 1.52010i 0.229653 0.166852i −0.467008 0.884253i \(-0.654668\pi\)
0.696661 + 0.717401i \(0.254668\pi\)
\(84\) −1.71214 + 0.261877i −0.186810 + 0.0285732i
\(85\) 3.92815 + 1.27633i 0.426067 + 0.138438i
\(86\) 3.62497 4.98935i 0.390891 0.538015i
\(87\) −9.57063 1.56791i −1.02608 0.168097i
\(88\) 3.27041 0.551756i 0.348627 0.0588174i
\(89\) 11.7971i 1.25049i −0.780428 0.625245i \(-0.784999\pi\)
0.780428 0.625245i \(-0.215001\pi\)
\(90\) −5.97850 + 4.24750i −0.630189 + 0.447726i
\(91\) −2.11756 + 6.51718i −0.221981 + 0.683187i
\(92\) −5.41238 + 1.75859i −0.564280 + 0.183346i
\(93\) −1.22035 + 0.613671i −0.126545 + 0.0636348i
\(94\) 2.97687 + 4.09731i 0.307040 + 0.422605i
\(95\) −4.88501 15.0345i −0.501191 1.54251i
\(96\) −0.794507 + 1.53908i −0.0810890 + 0.157081i
\(97\) 0.828161 + 0.601694i 0.0840870 + 0.0610928i 0.629034 0.777377i \(-0.283450\pi\)
−0.544947 + 0.838470i \(0.683450\pi\)
\(98\) 1.00000 0.101015
\(99\) −4.52200 + 8.86293i −0.454478 + 0.890758i
\(100\) −0.975969 −0.0975969
\(101\) −10.4795 7.61383i −1.04275 0.757605i −0.0719321 0.997410i \(-0.522916\pi\)
−0.970821 + 0.239805i \(0.922916\pi\)
\(102\) −1.34238 + 2.60039i −0.132915 + 0.257477i
\(103\) 0.879825 + 2.70782i 0.0866917 + 0.266810i 0.985000 0.172557i \(-0.0552029\pi\)
−0.898308 + 0.439367i \(0.855203\pi\)
\(104\) 4.02784 + 5.54385i 0.394962 + 0.543619i
\(105\) 3.78278 1.90223i 0.369162 0.185638i
\(106\) −1.23934 + 0.402684i −0.120375 + 0.0391122i
\(107\) 2.43057 7.48053i 0.234972 0.723170i −0.762153 0.647397i \(-0.775858\pi\)
0.997125 0.0757729i \(-0.0241424\pi\)
\(108\) −2.28506 4.66675i −0.219880 0.449058i
\(109\) 9.74860i 0.933747i −0.884324 0.466873i \(-0.845380\pi\)
0.884324 0.466873i \(-0.154620\pi\)
\(110\) −7.18667 + 3.75332i −0.685222 + 0.357865i
\(111\) 11.7356 + 1.92258i 1.11389 + 0.182483i
\(112\) 0.587785 0.809017i 0.0555405 0.0764449i
\(113\) 11.5838 + 3.76380i 1.08971 + 0.354068i 0.798135 0.602479i \(-0.205820\pi\)
0.291576 + 0.956548i \(0.405820\pi\)
\(114\) 11.0718 1.69347i 1.03697 0.158608i
\(115\) 11.2550 8.17721i 1.04953 0.762529i
\(116\) 4.52990 3.29117i 0.420591 0.305577i
\(117\) −20.5566 0.218018i −1.90045 0.0201557i
\(118\) 13.0119 + 4.22781i 1.19784 + 0.389201i
\(119\) 0.993107 1.36689i 0.0910380 0.125303i
\(120\) 0.684531 4.17844i 0.0624889 0.381437i
\(121\) −6.28532 + 9.02744i −0.571393 + 0.820677i
\(122\) 10.0028i 0.905608i
\(123\) 11.0145 + 11.1319i 0.993143 + 1.00373i
\(124\) 0.243703 0.750040i 0.0218852 0.0673556i
\(125\) −9.35560 + 3.03982i −0.836791 + 0.271890i
\(126\) 0.896741 + 2.86284i 0.0798880 + 0.255042i
\(127\) −4.60952 6.34446i −0.409029 0.562980i 0.553953 0.832548i \(-0.313119\pi\)
−0.962981 + 0.269569i \(0.913119\pi\)
\(128\) −0.309017 0.951057i −0.0273135 0.0840623i
\(129\) −9.49175 4.89986i −0.835702 0.431409i
\(130\) −13.5524 9.84638i −1.18862 0.863585i
\(131\) 17.0271 1.48766 0.743830 0.668369i \(-0.233007\pi\)
0.743830 + 0.668369i \(0.233007\pi\)
\(132\) −1.80113 5.45490i −0.156768 0.474788i
\(133\) −6.46664 −0.560729
\(134\) −0.836316 0.607619i −0.0722467 0.0524903i
\(135\) 8.83794 + 9.12370i 0.760649 + 0.785243i
\(136\) −0.522107 1.60688i −0.0447703 0.137789i
\(137\) −0.370586 0.510068i −0.0316613 0.0435781i 0.792893 0.609361i \(-0.208574\pi\)
−0.824554 + 0.565783i \(0.808574\pi\)
\(138\) 4.42833 + 8.80622i 0.376965 + 0.749635i
\(139\) −1.18245 + 0.384201i −0.100294 + 0.0325875i −0.358734 0.933440i \(-0.616792\pi\)
0.258440 + 0.966027i \(0.416792\pi\)
\(140\) −0.755417 + 2.32493i −0.0638444 + 0.196493i
\(141\) 6.23558 6.16980i 0.525131 0.519591i
\(142\) 7.59104i 0.637026i
\(143\) −22.4822 3.32939i −1.88006 0.278418i
\(144\) 2.84318 + 0.957257i 0.236931 + 0.0797714i
\(145\) −8.04552 + 11.0737i −0.668144 + 0.919621i
\(146\) 0.108422 + 0.0352283i 0.00897303 + 0.00291552i
\(147\) −0.261877 1.71214i −0.0215993 0.141215i
\(148\) −5.55460 + 4.03565i −0.456585 + 0.331728i
\(149\) −16.0997 + 11.6971i −1.31894 + 0.958268i −0.318997 + 0.947756i \(0.603346\pi\)
−0.999945 + 0.0105120i \(0.996654\pi\)
\(150\) 0.255584 + 1.67100i 0.0208684 + 0.136436i
\(151\) 5.95714 + 1.93559i 0.484785 + 0.157516i 0.541205 0.840891i \(-0.317968\pi\)
−0.0564196 + 0.998407i \(0.517968\pi\)
\(152\) −3.80100 + 5.23162i −0.308301 + 0.424341i
\(153\) 4.80376 + 1.61736i 0.388361 + 0.130756i
\(154\) 0.551756 + 3.27041i 0.0444618 + 0.263537i
\(155\) 1.92789i 0.154852i
\(156\) 8.43704 8.34803i 0.675504 0.668377i
\(157\) −4.09345 + 12.5983i −0.326693 + 1.00546i 0.643978 + 0.765044i \(0.277283\pi\)
−0.970671 + 0.240413i \(0.922717\pi\)
\(158\) −9.93937 + 3.22950i −0.790734 + 0.256925i
\(159\) 1.01401 + 2.01646i 0.0804159 + 0.159916i
\(160\) 1.43689 + 1.97771i 0.113596 + 0.156351i
\(161\) −1.75859 5.41238i −0.138596 0.426556i
\(162\) −7.39171 + 5.13445i −0.580748 + 0.403401i
\(163\) 5.90734 + 4.29194i 0.462699 + 0.336170i 0.794589 0.607148i \(-0.207686\pi\)
−0.331890 + 0.943318i \(0.607686\pi\)
\(164\) −9.04136 −0.706012
\(165\) 8.30823 + 11.3217i 0.646795 + 0.881391i
\(166\) 2.58614 0.200724
\(167\) 10.4925 + 7.62322i 0.811931 + 0.589903i 0.914390 0.404835i \(-0.132671\pi\)
−0.102459 + 0.994737i \(0.532671\pi\)
\(168\) −1.53908 0.794507i −0.118742 0.0612975i
\(169\) −10.4935 32.2957i −0.807194 2.48429i
\(170\) 2.42773 + 3.34148i 0.186198 + 0.256280i
\(171\) −5.79890 18.5130i −0.443453 1.41572i
\(172\) 5.86533 1.90576i 0.447227 0.145313i
\(173\) 5.26759 16.2120i 0.400488 1.23257i −0.524117 0.851646i \(-0.675605\pi\)
0.924605 0.380928i \(-0.124395\pi\)
\(174\) −6.82121 6.89394i −0.517115 0.522628i
\(175\) 0.975969i 0.0737763i
\(176\) 2.97013 + 1.47592i 0.223882 + 0.111251i
\(177\) 3.83109 23.3853i 0.287962 1.75775i
\(178\) 6.93417 9.54406i 0.519738 0.715358i
\(179\) 5.27534 + 1.71406i 0.394297 + 0.128115i 0.499453 0.866341i \(-0.333534\pi\)
−0.105156 + 0.994456i \(0.533534\pi\)
\(180\) −7.33333 0.0777754i −0.546594 0.00579703i
\(181\) −12.4538 + 9.04821i −0.925684 + 0.672548i −0.944932 0.327266i \(-0.893873\pi\)
0.0192486 + 0.999815i \(0.493873\pi\)
\(182\) −5.54385 + 4.02784i −0.410937 + 0.298563i
\(183\) 17.1261 2.61950i 1.26600 0.193639i
\(184\) −5.41238 1.75859i −0.399006 0.129645i
\(185\) 9.86547 13.5787i 0.725324 0.998323i
\(186\) −1.34799 0.220835i −0.0988396 0.0161924i
\(187\) 5.01825 + 2.49367i 0.366971 + 0.182355i
\(188\) 5.06455i 0.369370i
\(189\) 4.66675 2.28506i 0.339456 0.166213i
\(190\) 4.88501 15.0345i 0.354396 1.09072i
\(191\) −10.5754 + 3.43614i −0.765206 + 0.248630i −0.665511 0.746388i \(-0.731787\pi\)
−0.0996944 + 0.995018i \(0.531787\pi\)
\(192\) −1.54742 + 0.778140i −0.111675 + 0.0561574i
\(193\) −7.60485 10.4672i −0.547409 0.753444i 0.442249 0.896892i \(-0.354181\pi\)
−0.989658 + 0.143448i \(0.954181\pi\)
\(194\) 0.316329 + 0.973561i 0.0227111 + 0.0698976i
\(195\) −13.3093 + 25.7821i −0.953099 + 1.84629i
\(196\) 0.809017 + 0.587785i 0.0577869 + 0.0419847i
\(197\) −15.6454 −1.11469 −0.557344 0.830282i \(-0.688180\pi\)
−0.557344 + 0.830282i \(0.688180\pi\)
\(198\) −8.86787 + 4.51230i −0.630212 + 0.320675i
\(199\) 11.9147 0.844610 0.422305 0.906454i \(-0.361221\pi\)
0.422305 + 0.906454i \(0.361221\pi\)
\(200\) −0.789576 0.573660i −0.0558314 0.0405639i
\(201\) −0.821316 + 1.59101i −0.0579312 + 0.112221i
\(202\) −4.00283 12.3194i −0.281638 0.866793i
\(203\) 3.29117 + 4.52990i 0.230995 + 0.317937i
\(204\) −2.61448 + 1.31473i −0.183050 + 0.0920492i
\(205\) 21.0206 6.82999i 1.46814 0.477027i
\(206\) −0.879825 + 2.70782i −0.0613003 + 0.188663i
\(207\) 13.9178 9.88807i 0.967353 0.687268i
\(208\) 6.85257i 0.475140i
\(209\) −3.56801 21.1485i −0.246804 1.46288i
\(210\) 4.17844 + 0.684531i 0.288339 + 0.0472371i
\(211\) −4.81494 + 6.62720i −0.331474 + 0.456235i −0.941927 0.335817i \(-0.890987\pi\)
0.610453 + 0.792053i \(0.290987\pi\)
\(212\) −1.23934 0.402684i −0.0851179 0.0276565i
\(213\) 12.9969 1.98792i 0.890535 0.136210i
\(214\) 6.36332 4.62322i 0.434987 0.316037i
\(215\) −12.1969 + 8.86153i −0.831818 + 0.604351i
\(216\) 0.894394 5.11860i 0.0608558 0.348277i
\(217\) 0.750040 + 0.243703i 0.0509160 + 0.0165436i
\(218\) 5.73009 7.88679i 0.388090 0.534161i
\(219\) 0.0319226 0.194858i 0.00215713 0.0131673i
\(220\) −8.02029 1.18772i −0.540728 0.0800763i
\(221\) 11.5779i 0.778816i
\(222\) 8.36422 + 8.45340i 0.561370 + 0.567355i
\(223\) −3.07683 + 9.46952i −0.206040 + 0.634126i 0.793629 + 0.608402i \(0.208189\pi\)
−0.999669 + 0.0257240i \(0.991811\pi\)
\(224\) 0.951057 0.309017i 0.0635451 0.0206471i
\(225\) 2.79404 0.875191i 0.186270 0.0583461i
\(226\) 7.15917 + 9.85375i 0.476221 + 0.655462i
\(227\) −0.944859 2.90798i −0.0627125 0.193009i 0.914791 0.403927i \(-0.132355\pi\)
−0.977504 + 0.210917i \(0.932355\pi\)
\(228\) 9.95266 + 5.13779i 0.659131 + 0.340258i
\(229\) −12.4393 9.03770i −0.822013 0.597228i 0.0952751 0.995451i \(-0.469627\pi\)
−0.917289 + 0.398223i \(0.869627\pi\)
\(230\) 13.9119 0.917323
\(231\) 5.45490 1.80113i 0.358906 0.118506i
\(232\) 5.59927 0.367610
\(233\) 17.7401 + 12.8889i 1.16219 + 0.844381i 0.990053 0.140692i \(-0.0449328\pi\)
0.172137 + 0.985073i \(0.444933\pi\)
\(234\) −16.5025 12.2592i −1.07880 0.801411i
\(235\) −3.82584 11.7747i −0.249571 0.768099i
\(236\) 8.04177 + 11.0685i 0.523475 + 0.720501i
\(237\) 8.13224 + 16.1719i 0.528246 + 1.05047i
\(238\) 1.60688 0.522107i 0.104159 0.0338432i
\(239\) −0.523908 + 1.61242i −0.0338888 + 0.104299i −0.966570 0.256403i \(-0.917463\pi\)
0.932681 + 0.360702i \(0.117463\pi\)
\(240\) 3.00982 2.97807i 0.194283 0.192233i
\(241\) 27.1182i 1.74684i −0.486968 0.873420i \(-0.661897\pi\)
0.486968 0.873420i \(-0.338103\pi\)
\(242\) −10.3911 + 3.60894i −0.667967 + 0.231991i
\(243\) 10.7266 + 11.3110i 0.688113 + 0.725604i
\(244\) −5.87948 + 8.09241i −0.376395 + 0.518063i
\(245\) −2.32493 0.755417i −0.148535 0.0482618i
\(246\) 2.36773 + 15.4801i 0.150961 + 0.986973i
\(247\) 35.8501 26.0466i 2.28109 1.65731i
\(248\) 0.638022 0.463550i 0.0405144 0.0294355i
\(249\) −0.677252 4.42784i −0.0429191 0.280603i
\(250\) −9.35560 3.03982i −0.591700 0.192255i
\(251\) 13.7703 18.9533i 0.869176 1.19632i −0.110126 0.993918i \(-0.535126\pi\)
0.979303 0.202401i \(-0.0648744\pi\)
\(252\) −0.957257 + 2.84318i −0.0603015 + 0.179103i
\(253\) 16.7304 8.73762i 1.05183 0.549330i
\(254\) 7.84218i 0.492062i
\(255\) 5.08532 5.03167i 0.318455 0.315095i
\(256\) 0.309017 0.951057i 0.0193136 0.0594410i
\(257\) 11.2161 3.64432i 0.699640 0.227327i 0.0624661 0.998047i \(-0.480103\pi\)
0.637173 + 0.770720i \(0.280103\pi\)
\(258\) −4.79892 9.54318i −0.298768 0.594132i
\(259\) −4.03565 5.55460i −0.250763 0.345146i
\(260\) −5.17655 15.9318i −0.321036 0.988047i
\(261\) −10.0171 + 13.4842i −0.620041 + 0.834653i
\(262\) 13.7752 + 10.0083i 0.851033 + 0.618312i
\(263\) 19.8086 1.22145 0.610726 0.791842i \(-0.290878\pi\)
0.610726 + 0.791842i \(0.290878\pi\)
\(264\) 1.74917 5.47178i 0.107654 0.336765i
\(265\) 3.18557 0.195688
\(266\) −5.23162 3.80100i −0.320771 0.233054i
\(267\) −18.1567 9.37288i −1.11117 0.573611i
\(268\) −0.319444 0.983149i −0.0195132 0.0600554i
\(269\) 14.0766 + 19.3748i 0.858268 + 1.18130i 0.981980 + 0.188986i \(0.0605200\pi\)
−0.123712 + 0.992318i \(0.539480\pi\)
\(270\) 1.78727 + 12.5760i 0.108770 + 0.765354i
\(271\) −21.0861 + 6.85128i −1.28089 + 0.416186i −0.868893 0.495001i \(-0.835168\pi\)
−0.411995 + 0.911186i \(0.635168\pi\)
\(272\) 0.522107 1.60688i 0.0316574 0.0974315i
\(273\) 8.34803 + 8.43704i 0.505246 + 0.510633i
\(274\) 0.630479i 0.0380886i
\(275\) 3.19182 0.538497i 0.192474 0.0324726i
\(276\) −1.59357 + 9.72729i −0.0959217 + 0.585514i
\(277\) 12.8606 17.7012i 0.772721 1.06356i −0.223327 0.974744i \(-0.571692\pi\)
0.996048 0.0888160i \(-0.0283083\pi\)
\(278\) −1.18245 0.384201i −0.0709186 0.0230428i
\(279\) −0.0250909 + 2.36578i −0.00150215 + 0.141636i
\(280\) −1.97771 + 1.43689i −0.118191 + 0.0858705i
\(281\) −2.91966 + 2.12126i −0.174172 + 0.126544i −0.671456 0.741044i \(-0.734331\pi\)
0.497284 + 0.867588i \(0.334331\pi\)
\(282\) 8.67121 1.32629i 0.516363 0.0789794i
\(283\) 6.66653 + 2.16609i 0.396284 + 0.128761i 0.500378 0.865807i \(-0.333194\pi\)
−0.104094 + 0.994567i \(0.533194\pi\)
\(284\) −4.46190 + 6.14128i −0.264765 + 0.364418i
\(285\) −27.0204 4.42662i −1.60055 0.262210i
\(286\) −16.2315 15.9083i −0.959791 0.940675i
\(287\) 9.04136i 0.533695i
\(288\) 1.73752 + 2.44562i 0.102384 + 0.144109i
\(289\) −4.37115 + 13.4530i −0.257126 + 0.791354i
\(290\) −13.0179 + 4.22978i −0.764438 + 0.248381i
\(291\) 1.58403 0.796553i 0.0928577 0.0466948i
\(292\) 0.0670082 + 0.0922289i 0.00392136 + 0.00539729i
\(293\) −4.67047 14.3742i −0.272852 0.839751i −0.989780 0.142604i \(-0.954452\pi\)
0.716928 0.697147i \(-0.245548\pi\)
\(294\) 0.794507 1.53908i 0.0463366 0.0897608i
\(295\) −27.0579 19.6587i −1.57537 1.14458i
\(296\) −6.86586 −0.399070
\(297\) 10.0480 + 14.0014i 0.583043 + 0.812442i
\(298\) −19.9004 −1.15280
\(299\) 31.5496 + 22.9221i 1.82456 + 1.32562i
\(300\) −0.775414 + 1.50209i −0.0447686 + 0.0867233i
\(301\) 1.90576 + 5.86533i 0.109846 + 0.338072i
\(302\) 3.68171 + 5.06744i 0.211859 + 0.291599i
\(303\) −20.0443 + 10.0796i −1.15152 + 0.579057i
\(304\) −6.15014 + 1.99830i −0.352735 + 0.114610i
\(305\) 7.55625 23.2558i 0.432670 1.33162i
\(306\) 2.93566 + 4.13205i 0.167821 + 0.236214i
\(307\) 2.78519i 0.158959i −0.996836 0.0794796i \(-0.974674\pi\)
0.996836 0.0794796i \(-0.0253258\pi\)
\(308\) −1.47592 + 2.97013i −0.0840982 + 0.169239i
\(309\) 4.86658 + 0.797266i 0.276850 + 0.0453549i
\(310\) −1.13319 + 1.55970i −0.0643606 + 0.0885848i
\(311\) 1.60899 + 0.522792i 0.0912374 + 0.0296448i 0.354280 0.935139i \(-0.384726\pi\)
−0.263043 + 0.964784i \(0.584726\pi\)
\(312\) 11.7326 1.79453i 0.664225 0.101595i
\(313\) −2.84236 + 2.06509i −0.160660 + 0.116726i −0.665210 0.746656i \(-0.731658\pi\)
0.504551 + 0.863382i \(0.331658\pi\)
\(314\) −10.7168 + 7.78620i −0.604783 + 0.439401i
\(315\) 0.0777754 7.33333i 0.00438215 0.413186i
\(316\) −9.93937 3.22950i −0.559133 0.181673i
\(317\) −6.23541 + 8.58231i −0.350216 + 0.482031i −0.947390 0.320081i \(-0.896290\pi\)
0.597175 + 0.802111i \(0.296290\pi\)
\(318\) −0.364898 + 2.22737i −0.0204625 + 0.124905i
\(319\) −12.9987 + 13.2629i −0.727787 + 0.742577i
\(320\) 2.44458i 0.136656i
\(321\) −9.58201 9.68417i −0.534815 0.540518i
\(322\) 1.75859 5.41238i 0.0980024 0.301620i
\(323\) −10.3911 + 3.37628i −0.578177 + 0.187861i
\(324\) −8.99798 0.190882i −0.499888 0.0106045i
\(325\) 3.93105 + 5.41063i 0.218055 + 0.300127i
\(326\) 2.25640 + 6.94450i 0.124971 + 0.384620i
\(327\) −15.0039 7.74533i −0.829715 0.428318i
\(328\) −7.31461 5.31438i −0.403882 0.293437i
\(329\) −5.06455 −0.279218
\(330\) 0.0667821 + 14.0429i 0.00367623 + 0.773035i
\(331\) −23.1537 −1.27264 −0.636320 0.771425i \(-0.719544\pi\)
−0.636320 + 0.771425i \(0.719544\pi\)
\(332\) 2.09224 + 1.52010i 0.114826 + 0.0834262i
\(333\) 12.2830 16.5345i 0.673104 0.906083i
\(334\) 4.00776 + 12.3346i 0.219295 + 0.674921i
\(335\) 1.48537 + 2.04444i 0.0811546 + 0.111700i
\(336\) −0.778140 1.54742i −0.0424510 0.0844185i
\(337\) −28.9289 + 9.39956i −1.57586 + 0.512027i −0.960985 0.276601i \(-0.910792\pi\)
−0.614871 + 0.788628i \(0.710792\pi\)
\(338\) 10.4935 32.2957i 0.570772 1.75666i
\(339\) 14.9962 14.8380i 0.814480 0.805888i
\(340\) 4.13030i 0.223997i
\(341\) −0.383168 + 2.58740i −0.0207497 + 0.140116i
\(342\) 6.19024 18.3858i 0.334730 0.994191i
\(343\) −0.587785 + 0.809017i −0.0317374 + 0.0436828i
\(344\) 5.86533 + 1.90576i 0.316237 + 0.102752i
\(345\) −3.64321 23.8191i −0.196144 1.28238i
\(346\) 13.7907 10.0196i 0.741395 0.538655i
\(347\) −22.6140 + 16.4300i −1.21398 + 0.882009i −0.995586 0.0938516i \(-0.970082\pi\)
−0.218395 + 0.975860i \(0.570082\pi\)
\(348\) −1.46632 9.58672i −0.0786030 0.513902i
\(349\) −15.8310 5.14379i −0.847412 0.275341i −0.147050 0.989129i \(-0.546978\pi\)
−0.700362 + 0.713788i \(0.746978\pi\)
\(350\) 0.573660 0.789576i 0.0306634 0.0422046i
\(351\) −16.6679 + 31.4649i −0.889665 + 1.67947i
\(352\) 1.53536 + 2.93984i 0.0818351 + 0.156694i
\(353\) 29.5840i 1.57460i −0.616571 0.787299i \(-0.711479\pi\)
0.616571 0.787299i \(-0.288521\pi\)
\(354\) 16.8449 16.6672i 0.895298 0.885853i
\(355\) 5.73440 17.6487i 0.304350 0.936694i
\(356\) 11.2197 3.64551i 0.594644 0.193211i
\(357\) −1.31473 2.61448i −0.0695827 0.138373i
\(358\) 3.26034 + 4.48747i 0.172314 + 0.237170i
\(359\) 1.43780 + 4.42509i 0.0758842 + 0.233547i 0.981802 0.189905i \(-0.0608180\pi\)
−0.905918 + 0.423453i \(0.860818\pi\)
\(360\) −5.88707 4.37334i −0.310276 0.230495i
\(361\) 18.4597 + 13.4117i 0.971563 + 0.705882i
\(362\) −15.3937 −0.809077
\(363\) 8.90020 + 16.8460i 0.467139 + 0.884184i
\(364\) −6.85257 −0.359172
\(365\) −0.225461 0.163807i −0.0118012 0.00857405i
\(366\) 15.3950 + 7.94726i 0.804711 + 0.415410i
\(367\) 8.06717 + 24.8282i 0.421103 + 1.29602i 0.906677 + 0.421826i \(0.138611\pi\)
−0.485574 + 0.874195i \(0.661389\pi\)
\(368\) −3.34504 4.60405i −0.174372 0.240003i
\(369\) 25.8840 8.10775i 1.34747 0.422073i
\(370\) 15.9627 5.18658i 0.829859 0.269638i
\(371\) 0.402684 1.23934i 0.0209063 0.0643431i
\(372\) −0.960746 0.970989i −0.0498124 0.0503434i
\(373\) 19.1643i 0.992288i 0.868240 + 0.496144i \(0.165251\pi\)
−0.868240 + 0.496144i \(0.834749\pi\)
\(374\) 2.59411 + 4.96708i 0.134138 + 0.256842i
\(375\) −2.75457 + 16.8142i −0.142246 + 0.868279i
\(376\) −2.97687 + 4.09731i −0.153520 + 0.211302i
\(377\) −36.4914 11.8568i −1.87940 0.610656i
\(378\) 5.11860 + 0.894394i 0.263272 + 0.0460027i
\(379\) −2.13006 + 1.54758i −0.109414 + 0.0794936i −0.641147 0.767418i \(-0.721541\pi\)
0.531733 + 0.846912i \(0.321541\pi\)
\(380\) 12.7891 9.29184i 0.656068 0.476661i
\(381\) −13.4269 + 2.05369i −0.687881 + 0.105214i
\(382\) −10.5754 3.43614i −0.541082 0.175808i
\(383\) −6.08296 + 8.37247i −0.310825 + 0.427813i −0.935638 0.352961i \(-0.885175\pi\)
0.624814 + 0.780774i \(0.285175\pi\)
\(384\) −1.70927 0.280020i −0.0872256 0.0142897i
\(385\) 1.18772 8.02029i 0.0605320 0.408752i
\(386\) 12.9381i 0.658534i
\(387\) −15.0825 + 10.7156i −0.766688 + 0.544703i
\(388\) −0.316329 + 0.973561i −0.0160592 + 0.0494251i
\(389\) −12.7308 + 4.13649i −0.645478 + 0.209729i −0.613419 0.789757i \(-0.710206\pi\)
−0.0320590 + 0.999486i \(0.510206\pi\)
\(390\) −25.9218 + 13.0351i −1.31260 + 0.660060i
\(391\) −5.65169 7.77888i −0.285818 0.393395i
\(392\) 0.309017 + 0.951057i 0.0156077 + 0.0480356i
\(393\) 13.5281 26.2059i 0.682403 1.32192i
\(394\) −12.6574 9.19613i −0.637670 0.463295i
\(395\) 25.5480 1.28546
\(396\) −9.82652 1.56188i −0.493801 0.0784874i
\(397\) 9.55818 0.479711 0.239856 0.970809i \(-0.422900\pi\)
0.239856 + 0.970809i \(0.422900\pi\)
\(398\) 9.63919 + 7.00328i 0.483169 + 0.351043i
\(399\) −5.13779 + 9.95266i −0.257211 + 0.498256i
\(400\) −0.301591 0.928202i −0.0150796 0.0464101i
\(401\) 11.4308 + 15.7331i 0.570825 + 0.785674i 0.992652 0.121003i \(-0.0386110\pi\)
−0.421827 + 0.906676i \(0.638611\pi\)
\(402\) −1.59963 + 0.804397i −0.0797824 + 0.0401197i
\(403\) −5.13970 + 1.66999i −0.256027 + 0.0831882i
\(404\) 4.00283 12.3194i 0.199148 0.612915i
\(405\) 21.0639 6.35343i 1.04667 0.315705i
\(406\) 5.59927i 0.277887i
\(407\) 15.9391 16.2630i 0.790072 0.806127i
\(408\) −2.88793 0.473115i −0.142974 0.0234227i
\(409\) −2.14037 + 2.94597i −0.105835 + 0.145669i −0.858649 0.512564i \(-0.828696\pi\)
0.752814 + 0.658233i \(0.228696\pi\)
\(410\) 21.0206 + 6.82999i 1.03813 + 0.337309i
\(411\) −1.07947 + 0.165108i −0.0532462 + 0.00814419i
\(412\) −2.30341 + 1.67353i −0.113481 + 0.0824487i
\(413\) −11.0685 + 8.04177i −0.544648 + 0.395710i
\(414\) 17.0718 + 0.181059i 0.839033 + 0.00889856i
\(415\) −6.01261 1.95362i −0.295148 0.0958993i
\(416\) −4.02784 + 5.54385i −0.197481 + 0.271810i
\(417\) −0.348149 + 2.12513i −0.0170489 + 0.104068i
\(418\) 9.54422 19.2068i 0.466823 0.939433i
\(419\) 21.8005i 1.06503i 0.846422 + 0.532513i \(0.178752\pi\)
−0.846422 + 0.532513i \(0.821248\pi\)
\(420\) 2.97807 + 3.00982i 0.145315 + 0.146864i
\(421\) −4.81466 + 14.8180i −0.234652 + 0.722184i 0.762515 + 0.646970i \(0.223964\pi\)
−0.997167 + 0.0752144i \(0.976036\pi\)
\(422\) −7.79074 + 2.53136i −0.379247 + 0.123225i
\(423\) −4.54159 14.4990i −0.220819 0.704965i
\(424\) −0.765951 1.05424i −0.0371979 0.0511985i
\(425\) −0.509561 1.56827i −0.0247173 0.0760721i
\(426\) 11.6832 + 6.03114i 0.566053 + 0.292210i
\(427\) −8.09241 5.87948i −0.391619 0.284528i
\(428\) 7.86549 0.380193
\(429\) −22.9865 + 31.9567i −1.10980 + 1.54288i
\(430\) −15.0761 −0.727036
\(431\) −13.4407 9.76525i −0.647416 0.470375i 0.214974 0.976620i \(-0.431033\pi\)
−0.862390 + 0.506244i \(0.831033\pi\)
\(432\) 3.73222 3.61532i 0.179566 0.173942i
\(433\) 2.90462 + 8.93950i 0.139587 + 0.429605i 0.996275 0.0862296i \(-0.0274819\pi\)
−0.856688 + 0.515835i \(0.827482\pi\)
\(434\) 0.463550 + 0.638022i 0.0222511 + 0.0306260i
\(435\) 10.6511 + 21.1808i 0.510679 + 1.01554i
\(436\) 9.27147 3.01248i 0.444023 0.144272i
\(437\) −11.3722 + 34.9999i −0.544005 + 1.67427i
\(438\) 0.140361 0.138880i 0.00670670 0.00663595i
\(439\) 7.73871i 0.369349i −0.982800 0.184674i \(-0.940877\pi\)
0.982800 0.184674i \(-0.0591230\pi\)
\(440\) −5.79042 5.67509i −0.276047 0.270549i
\(441\) −2.84318 0.957257i −0.135389 0.0455837i
\(442\) −6.80534 + 9.36674i −0.323697 + 0.445531i
\(443\) 12.3655 + 4.01780i 0.587503 + 0.190891i 0.587659 0.809109i \(-0.300050\pi\)
−0.000156063 1.00000i \(0.500050\pi\)
\(444\) 1.79801 + 11.7553i 0.0853299 + 0.557882i
\(445\) −23.3312 + 16.9511i −1.10601 + 0.803560i
\(446\) −8.05525 + 5.85248i −0.381427 + 0.277123i
\(447\) 5.21146 + 34.0722i 0.246493 + 1.61156i
\(448\) 0.951057 + 0.309017i 0.0449332 + 0.0145997i
\(449\) −1.34634 + 1.85308i −0.0635378 + 0.0874523i −0.839603 0.543200i \(-0.817213\pi\)
0.776066 + 0.630652i \(0.217213\pi\)
\(450\) 2.77485 + 0.934254i 0.130808 + 0.0440411i
\(451\) 29.5689 4.98863i 1.39235 0.234905i
\(452\) 12.1799i 0.572895i
\(453\) 7.71201 7.63065i 0.362342 0.358519i
\(454\) 0.944859 2.90798i 0.0443444 0.136478i
\(455\) 15.9318 5.17655i 0.746893 0.242680i
\(456\) 5.03195 + 10.0066i 0.235643 + 0.468601i
\(457\) −0.00249035 0.00342767i −0.000116494 0.000160340i 0.808959 0.587865i \(-0.200032\pi\)
−0.809075 + 0.587705i \(0.800032\pi\)
\(458\) −4.75140 14.6233i −0.222018 0.683302i
\(459\) 6.30586 6.10836i 0.294332 0.285114i
\(460\) 11.2550 + 8.17721i 0.524765 + 0.381264i
\(461\) −3.55278 −0.165469 −0.0827346 0.996572i \(-0.526365\pi\)
−0.0827346 + 0.996572i \(0.526365\pi\)
\(462\) 5.47178 + 1.74917i 0.254570 + 0.0813786i
\(463\) 12.9691 0.602725 0.301362 0.953510i \(-0.402559\pi\)
0.301362 + 0.953510i \(0.402559\pi\)
\(464\) 4.52990 + 3.29117i 0.210295 + 0.152789i
\(465\) 2.96717 + 1.53172i 0.137599 + 0.0710319i
\(466\) 6.77610 + 20.8547i 0.313897 + 0.966075i
\(467\) 0.0877085 + 0.120720i 0.00405866 + 0.00558627i 0.811042 0.584989i \(-0.198901\pi\)
−0.806983 + 0.590575i \(0.798901\pi\)
\(468\) −6.14498 19.6178i −0.284052 0.906834i
\(469\) 0.983149 0.319444i 0.0453976 0.0147506i
\(470\) 3.82584 11.7747i 0.176473 0.543128i
\(471\) 16.1375 + 16.3096i 0.743579 + 0.751507i
\(472\) 13.6815i 0.629741i
\(473\) −18.1305 + 9.46884i −0.833641 + 0.435378i
\(474\) −2.92645 + 17.8633i −0.134416 + 0.820489i
\(475\) −3.70965 + 5.10590i −0.170211 + 0.234275i
\(476\) 1.60688 + 0.522107i 0.0736513 + 0.0239307i
\(477\) 3.90912 + 0.0414591i 0.178986 + 0.00189828i
\(478\) −1.37161 + 0.996532i −0.0627359 + 0.0455803i
\(479\) −12.0900 + 8.78393i −0.552408 + 0.401348i −0.828672 0.559734i \(-0.810903\pi\)
0.276265 + 0.961082i \(0.410903\pi\)
\(480\) 4.18546 0.640180i 0.191039 0.0292201i
\(481\) 44.7461 + 14.5389i 2.04025 + 0.662916i
\(482\) 15.9397 21.9391i 0.726033 0.999299i
\(483\) −9.72729 1.59357i −0.442607 0.0725100i
\(484\) −10.5279 3.18806i −0.478540 0.144912i
\(485\) 2.50243i 0.113629i
\(486\) 2.02955 + 15.4558i 0.0920622 + 0.701088i
\(487\) −10.3721 + 31.9219i −0.470003 + 1.44652i 0.382577 + 0.923924i \(0.375037\pi\)
−0.852580 + 0.522597i \(0.824963\pi\)
\(488\) −9.51319 + 3.09102i −0.430642 + 0.139924i
\(489\) 11.2990 5.68189i 0.510961 0.256944i
\(490\) −1.43689 1.97771i −0.0649120 0.0893437i
\(491\) −4.19669 12.9161i −0.189394 0.582895i 0.810602 0.585597i \(-0.199140\pi\)
−0.999996 + 0.00270204i \(0.999140\pi\)
\(492\) −7.18342 + 13.9154i −0.323854 + 0.627353i
\(493\) 7.65360 + 5.56067i 0.344701 + 0.250440i
\(494\) 44.3131 1.99374
\(495\) 24.0259 3.79185i 1.07988 0.170431i
\(496\) 0.788639 0.0354109
\(497\) −6.14128 4.46190i −0.275474 0.200144i
\(498\) 2.05471 3.98028i 0.0920738 0.178360i
\(499\) −10.2184 31.4489i −0.457437 1.40785i −0.868250 0.496127i \(-0.834755\pi\)
0.410813 0.911720i \(-0.365245\pi\)
\(500\) −5.78208 7.95835i −0.258583 0.355908i
\(501\) 20.0691 10.0920i 0.896620 0.450878i
\(502\) 22.2809 7.23950i 0.994444 0.323115i
\(503\) −5.58010 + 17.1738i −0.248805 + 0.765742i 0.746183 + 0.665741i \(0.231884\pi\)
−0.994987 + 0.100001i \(0.968116\pi\)
\(504\) −2.44562 + 1.73752i −0.108936 + 0.0773952i
\(505\) 31.6657i 1.40910i
\(506\) 18.6710 + 2.76499i 0.830028 + 0.122919i
\(507\) −58.0428 9.50885i −2.57777 0.422303i
\(508\) 4.60952 6.34446i 0.204514 0.281490i
\(509\) −6.11971 1.98841i −0.271251 0.0881349i 0.170233 0.985404i \(-0.445548\pi\)
−0.441484 + 0.897269i \(0.645548\pi\)
\(510\) 7.07165 1.08163i 0.313138 0.0478954i
\(511\) −0.0922289 + 0.0670082i −0.00407997 + 0.00296427i
\(512\) 0.809017 0.587785i 0.0357538 0.0259767i
\(513\) −33.1001 5.78372i −1.46141 0.255358i
\(514\) 11.2161 + 3.64432i 0.494720 + 0.160744i
\(515\) 4.09107 5.63087i 0.180274 0.248126i
\(516\) 1.72693 10.5413i 0.0760239 0.464056i
\(517\) −2.79440 16.5631i −0.122897 0.728446i
\(518\) 6.86586i 0.301669i
\(519\) −20.7664 20.9878i −0.911542 0.921261i
\(520\) 5.17655 15.9318i 0.227007 0.698655i
\(521\) −18.2045 + 5.91501i −0.797555 + 0.259141i −0.679318 0.733844i \(-0.737724\pi\)
−0.118237 + 0.992985i \(0.537724\pi\)
\(522\) −16.0298 + 5.02109i −0.701605 + 0.219767i
\(523\) 17.4102 + 23.9631i 0.761294 + 1.04783i 0.997105 + 0.0760326i \(0.0242253\pi\)
−0.235811 + 0.971799i \(0.575775\pi\)
\(524\) 5.26165 + 16.1937i 0.229856 + 0.707425i
\(525\) −1.50209 0.775414i −0.0655567 0.0338419i
\(526\) 16.0255 + 11.6432i 0.698746 + 0.507669i
\(527\) 1.33246 0.0580430
\(528\) 4.63134 3.39863i 0.201553 0.147906i
\(529\) −9.38653 −0.408110
\(530\) 2.57718 + 1.87243i 0.111945 + 0.0813331i
\(531\) −32.9479 24.4761i −1.42982 1.06217i
\(532\) −1.99830 6.15014i −0.0866374 0.266642i
\(533\) 36.4172 + 50.1239i 1.57740 + 2.17111i
\(534\) −9.17980 18.2550i −0.397249 0.789973i
\(535\) −18.2867 + 5.94172i −0.790605 + 0.256883i
\(536\) 0.319444 0.983149i 0.0137979 0.0424655i
\(537\) 6.82936 6.75732i 0.294709 0.291600i
\(538\) 23.9486i 1.03250i
\(539\) −2.97013 1.47592i −0.127933 0.0635722i
\(540\) −5.94608 + 11.2248i −0.255879 + 0.483037i
\(541\) 1.41587 1.94878i 0.0608731 0.0837847i −0.777495 0.628889i \(-0.783510\pi\)
0.838368 + 0.545104i \(0.183510\pi\)
\(542\) −21.0861 6.85128i −0.905724 0.294288i
\(543\) 4.03127 + 26.3562i 0.172998 + 1.13105i
\(544\) 1.36689 0.993107i 0.0586051 0.0425791i
\(545\) −19.2799 + 14.0077i −0.825859 + 0.600022i
\(546\) 1.79453 + 11.7326i 0.0767989 + 0.502107i
\(547\) 2.93829 + 0.954710i 0.125632 + 0.0408204i 0.371158 0.928570i \(-0.378961\pi\)
−0.245526 + 0.969390i \(0.578961\pi\)
\(548\) 0.370586 0.510068i 0.0158307 0.0217890i
\(549\) 9.57522 28.4396i 0.408660 1.21377i
\(550\) 2.89876 + 1.44045i 0.123603 + 0.0614210i
\(551\) 36.2084i 1.54253i
\(552\) −7.00678 + 6.93286i −0.298228 + 0.295082i
\(553\) 3.22950 9.93937i 0.137332 0.422665i
\(554\) 20.8090 6.76124i 0.884088 0.287258i
\(555\) −13.0604 25.9721i −0.554384 1.10245i
\(556\) −0.730794 1.00585i −0.0309926 0.0426576i
\(557\) 13.0949 + 40.3020i 0.554849 + 1.70765i 0.696341 + 0.717711i \(0.254810\pi\)
−0.141492 + 0.989939i \(0.545190\pi\)
\(558\) −1.41087 + 1.89921i −0.0597269 + 0.0804000i
\(559\) −34.1899 24.8404i −1.44608 1.05064i
\(560\) −2.44458 −0.103302
\(561\) 7.82499 5.74224i 0.330371 0.242438i
\(562\) −3.60890 −0.152232
\(563\) −21.5555 15.6610i −0.908456 0.660032i 0.0321679 0.999482i \(-0.489759\pi\)
−0.940624 + 0.339451i \(0.889759\pi\)
\(564\) 7.79473 + 4.02382i 0.328217 + 0.169433i
\(565\) −9.20091 28.3175i −0.387085 1.19133i
\(566\) 4.12014 + 5.67089i 0.173182 + 0.238365i
\(567\) 0.190882 8.99798i 0.00801629 0.377879i
\(568\) −7.21951 + 2.34576i −0.302924 + 0.0984260i
\(569\) −2.88942 + 8.89271i −0.121131 + 0.372802i −0.993176 0.116623i \(-0.962793\pi\)
0.872046 + 0.489425i \(0.162793\pi\)
\(570\) −19.2581 19.4634i −0.806633 0.815233i
\(571\) 11.7998i 0.493804i −0.969040 0.246902i \(-0.920587\pi\)
0.969040 0.246902i \(-0.0794126\pi\)
\(572\) −3.78095 22.4107i −0.158089 0.937039i
\(573\) −3.11371 + 19.0063i −0.130077 + 0.794001i
\(574\) 5.31438 7.31461i 0.221818 0.305306i
\(575\) −5.28232 1.71633i −0.220288 0.0715759i
\(576\) −0.0318154 + 2.99983i −0.00132564 + 0.124993i
\(577\) −12.2283 + 8.88435i −0.509069 + 0.369860i −0.812470 0.583002i \(-0.801878\pi\)
0.303401 + 0.952863i \(0.401878\pi\)
\(578\) −11.4438 + 8.31442i −0.476000 + 0.345834i
\(579\) −22.1519 + 3.38821i −0.920602 + 0.140809i
\(580\) −13.0179 4.22978i −0.540540 0.175632i
\(581\) −1.52010 + 2.09224i −0.0630643 + 0.0868005i
\(582\) 1.74971 + 0.286646i 0.0725279 + 0.0118819i
\(583\) 4.27531 + 0.633131i 0.177065 + 0.0262216i
\(584\) 0.114001i 0.00471740i
\(585\) 29.1063 + 40.9681i 1.20340 + 1.69382i
\(586\) 4.67047 14.3742i 0.192935 0.593794i
\(587\) 10.6792 3.46988i 0.440778 0.143217i −0.0802165 0.996777i \(-0.525561\pi\)
0.520995 + 0.853560i \(0.325561\pi\)
\(588\) 1.54742 0.778140i 0.0638144 0.0320900i
\(589\) −2.99761 4.12586i −0.123514 0.170003i
\(590\) −10.3352 31.8085i −0.425494 1.30954i
\(591\) −12.4304 + 24.0795i −0.511317 + 0.990497i
\(592\) −5.55460 4.03565i −0.228293 0.165864i
\(593\) 14.3949 0.591129 0.295565 0.955323i \(-0.404492\pi\)
0.295565 + 0.955323i \(0.404492\pi\)
\(594\) −0.100813 + 17.2334i −0.00413641 + 0.707095i
\(595\) −4.13030 −0.169326
\(596\) −16.0997 11.6971i −0.659471 0.479134i
\(597\) 9.46630 18.3376i 0.387430 0.750509i
\(598\) 12.0509 + 37.0887i 0.492796 + 1.51667i
\(599\) −21.9616 30.2276i −0.897327 1.23506i −0.971313 0.237805i \(-0.923572\pi\)
0.0739859 0.997259i \(-0.476428\pi\)
\(600\) −1.51023 + 0.759441i −0.0616549 + 0.0310040i
\(601\) 2.99070 0.971739i 0.121993 0.0396381i −0.247384 0.968917i \(-0.579571\pi\)
0.369377 + 0.929279i \(0.379571\pi\)
\(602\) −1.90576 + 5.86533i −0.0776730 + 0.239053i
\(603\) 1.79615 + 2.52814i 0.0731448 + 0.102954i
\(604\) 6.26370i 0.254867i
\(605\) 26.8849 0.540902i 1.09303 0.0219908i
\(606\) −22.1408 3.62722i −0.899410 0.147346i
\(607\) 26.6210 36.6406i 1.08051 1.48720i 0.221557 0.975147i \(-0.428886\pi\)
0.858955 0.512050i \(-0.171114\pi\)
\(608\) −6.15014 1.99830i −0.249421 0.0810418i
\(609\) 9.58672 1.46632i 0.388474 0.0594183i
\(610\) 19.7825 14.3728i 0.800971 0.581940i
\(611\) 28.0771 20.3992i 1.13588 0.825263i
\(612\) −0.0537546 + 5.06844i −0.00217290 + 0.204879i
\(613\) −5.29933 1.72186i −0.214038 0.0695451i 0.200035 0.979789i \(-0.435894\pi\)
−0.414073 + 0.910244i \(0.635894\pi\)
\(614\) 1.63709 2.25327i 0.0660677 0.0909344i
\(615\) 6.18909 37.7787i 0.249568 1.52339i
\(616\) −2.93984 + 1.53536i −0.118450 + 0.0618615i
\(617\) 16.5004i 0.664279i 0.943230 + 0.332140i \(0.107771\pi\)
−0.943230 + 0.332140i \(0.892229\pi\)
\(618\) 3.46852 + 3.50550i 0.139524 + 0.141012i
\(619\) −4.67155 + 14.3776i −0.187766 + 0.577883i −0.999985 0.00546885i \(-0.998259\pi\)
0.812219 + 0.583352i \(0.198259\pi\)
\(620\) −1.83353 + 0.595751i −0.0736364 + 0.0239259i
\(621\) −4.16071 29.2767i −0.166964 1.17483i
\(622\) 0.994410 + 1.36869i 0.0398722 + 0.0548794i
\(623\) 3.64551 + 11.2197i 0.146054 + 0.449508i
\(624\) 10.5466 + 5.44442i 0.422203 + 0.217951i
\(625\) 23.4027 + 17.0031i 0.936108 + 0.680122i
\(626\) −3.51335 −0.140422
\(627\) −35.3841 11.3112i −1.41310 0.451727i
\(628\) −13.2467 −0.528600
\(629\) −9.38491 6.81853i −0.374201 0.271873i
\(630\) 4.37334 5.88707i 0.174238 0.234546i
\(631\) 2.90419 + 8.93819i 0.115614 + 0.355824i 0.992075 0.125650i \(-0.0401016\pi\)
−0.876460 + 0.481474i \(0.840102\pi\)
\(632\) −6.14287 8.45493i −0.244350 0.336319i
\(633\) 6.37427 + 12.6759i 0.253354 + 0.503823i
\(634\) −10.0891 + 3.27815i −0.400690 + 0.130192i
\(635\) −5.92411 + 18.2325i −0.235091 + 0.723537i
\(636\) −1.60442 + 1.58750i −0.0636195 + 0.0629484i
\(637\) 6.85257i 0.271509i
\(638\) −18.3119 + 3.08943i −0.724974 + 0.122312i
\(639\) 7.26658 21.5827i 0.287462 0.853798i
\(640\) −1.43689 + 1.97771i −0.0567980 + 0.0781757i
\(641\) 12.7697 + 4.14913i 0.504373 + 0.163881i 0.550142 0.835071i \(-0.314574\pi\)
−0.0457687 + 0.998952i \(0.514574\pi\)
\(642\) −2.05979 13.4668i −0.0812936 0.531493i
\(643\) 37.4732 27.2259i 1.47780 1.07368i 0.499542 0.866290i \(-0.333502\pi\)
0.978257 0.207394i \(-0.0664983\pi\)
\(644\) 4.60405 3.34504i 0.181425 0.131813i
\(645\) 3.94810 + 25.8124i 0.155456 + 1.01636i
\(646\) −10.3911 3.37628i −0.408833 0.132838i
\(647\) 15.7613 21.6936i 0.619640 0.852862i −0.377686 0.925934i \(-0.623280\pi\)
0.997327 + 0.0730717i \(0.0232802\pi\)
\(648\) −7.16732 5.44330i −0.281559 0.213833i
\(649\) −32.4070 31.7616i −1.27209 1.24675i
\(650\) 6.68790i 0.262321i
\(651\) 0.970989 0.960746i 0.0380561 0.0376546i
\(652\) −2.25640 + 6.94450i −0.0883676 + 0.271968i
\(653\) −25.7723 + 8.37394i −1.00855 + 0.327698i −0.766277 0.642511i \(-0.777893\pi\)
−0.242273 + 0.970208i \(0.577893\pi\)
\(654\) −7.58578 15.0852i −0.296627 0.589876i
\(655\) −24.4660 33.6745i −0.955964 1.31577i
\(656\) −2.79393 8.59884i −0.109085 0.335728i
\(657\) −0.274539 0.203948i −0.0107108 0.00795676i
\(658\) −4.09731 2.97687i −0.159730 0.116050i
\(659\) −35.2260 −1.37221 −0.686104 0.727503i \(-0.740681\pi\)
−0.686104 + 0.727503i \(0.740681\pi\)
\(660\) −8.20017 + 11.4002i −0.319191 + 0.443752i
\(661\) 30.9201 1.20265 0.601327 0.799003i \(-0.294639\pi\)
0.601327 + 0.799003i \(0.294639\pi\)
\(662\) −18.7317 13.6094i −0.728029 0.528944i
\(663\) 17.8193 + 9.19875i 0.692045 + 0.357250i
\(664\) 0.799163 + 2.45957i 0.0310135 + 0.0954498i
\(665\) 9.29184 + 12.7891i 0.360322 + 0.495941i
\(666\) 19.6559 6.15689i 0.761649 0.238575i
\(667\) 30.3054 9.84681i 1.17343 0.381270i
\(668\) −4.00776 + 12.3346i −0.155065 + 0.477241i
\(669\) 12.1298 + 12.2591i 0.468963 + 0.473964i
\(670\) 2.52707i 0.0976292i
\(671\) 14.7632 29.7095i 0.569929 1.14692i
\(672\) 0.280020 1.70927i 0.0108020 0.0659364i
\(673\) −7.02197 + 9.66491i −0.270677 + 0.372555i −0.922618 0.385715i \(-0.873955\pi\)
0.651941 + 0.758270i \(0.273955\pi\)
\(674\) −28.9289 9.39956i −1.11430 0.362057i
\(675\) 0.872901 4.99560i 0.0335980 0.192281i
\(676\) 27.4724 19.9599i 1.05663 0.767687i
\(677\) −7.82771 + 5.68716i −0.300843 + 0.218575i −0.727958 0.685622i \(-0.759530\pi\)
0.427114 + 0.904198i \(0.359530\pi\)
\(678\) 20.8537 3.18964i 0.800882 0.122497i
\(679\) −0.973561 0.316329i −0.0373619 0.0121396i
\(680\) −2.42773 + 3.34148i −0.0930992 + 0.128140i
\(681\) −5.22630 0.856197i −0.200272 0.0328095i
\(682\) −1.83083 + 1.86803i −0.0701059 + 0.0715306i
\(683\) 26.4240i 1.01109i 0.862801 + 0.505544i \(0.168708\pi\)
−0.862801 + 0.505544i \(0.831292\pi\)
\(684\) 15.8149 11.2359i 0.604698 0.429615i
\(685\) −0.476274 + 1.46582i −0.0181975 + 0.0560062i
\(686\) −0.951057 + 0.309017i −0.0363115 + 0.0117983i
\(687\) −23.7928 + 11.9646i −0.907753 + 0.456477i
\(688\) 3.62497 + 4.98935i 0.138201 + 0.190217i
\(689\) 2.75942 + 8.49263i 0.105126 + 0.323544i
\(690\) 11.0531 21.4115i 0.420784 0.815121i
\(691\) 24.4068 + 17.7326i 0.928479 + 0.674579i 0.945620 0.325274i \(-0.105456\pi\)
−0.0171410 + 0.999853i \(0.505456\pi\)
\(692\) 17.0463 0.648003
\(693\) 1.56188 9.82652i 0.0593309 0.373279i
\(694\) −27.9524 −1.06106
\(695\) 2.45888 + 1.78648i 0.0932708 + 0.0677652i
\(696\) 4.44866 8.61770i 0.168626 0.326653i
\(697\) −4.72056 14.5284i −0.178804 0.550302i
\(698\) −9.78407 13.4666i −0.370332 0.509719i
\(699\) 33.9316 17.0630i 1.28341 0.645382i
\(700\) 0.928202 0.301591i 0.0350827 0.0113991i
\(701\) −2.36639 + 7.28299i −0.0893772 + 0.275075i −0.985748 0.168231i \(-0.946194\pi\)
0.896370 + 0.443306i \(0.146194\pi\)
\(702\) −31.9792 + 15.6585i −1.20698 + 0.590993i
\(703\) 44.3990i 1.67454i
\(704\) −0.485860 + 3.28084i −0.0183115 + 0.123651i
\(705\) −21.1619 3.46684i −0.797003 0.130569i
\(706\) 17.3890 23.9340i 0.654445 0.900767i
\(707\) 12.3194 + 4.00283i 0.463320 + 0.150542i
\(708\) 23.4246 3.58287i 0.880350 0.134652i
\(709\) −18.1988 + 13.2222i −0.683469 + 0.496569i −0.874507 0.485014i \(-0.838815\pi\)
0.191038 + 0.981583i \(0.438815\pi\)
\(710\) 15.0129 10.9075i 0.563422 0.409350i
\(711\) 31.3509 + 0.332499i 1.17575 + 0.0124697i
\(712\) 11.2197 + 3.64551i 0.420477 + 0.136621i
\(713\) 2.63803 3.63093i 0.0987948 0.135979i
\(714\) 0.473115 2.88793i 0.0177059 0.108078i
\(715\) 25.7199 + 49.2472i 0.961869 + 1.84174i
\(716\) 5.54682i 0.207294i
\(717\) 2.06539 + 2.08742i 0.0771336 + 0.0779559i
\(718\) −1.43780 + 4.42509i −0.0536582 + 0.165143i
\(719\) −17.4737 + 5.67754i −0.651658 + 0.211737i −0.616145 0.787633i \(-0.711307\pi\)
−0.0355131 + 0.999369i \(0.511307\pi\)
\(720\) −2.19215 6.99844i −0.0816967 0.260817i
\(721\) −1.67353 2.30341i −0.0623254 0.0857835i
\(722\) 7.05097 + 21.7007i 0.262410 + 0.807615i
\(723\) −41.7371 21.5456i −1.55222 0.801290i
\(724\) −12.4538 9.04821i −0.462842 0.336274i
\(725\) 5.46471 0.202954
\(726\) −2.70139 + 18.8601i −0.100258 + 0.699963i
\(727\) 41.2564 1.53011 0.765057 0.643963i \(-0.222711\pi\)
0.765057 + 0.643963i \(0.222711\pi\)
\(728\) −5.54385 4.02784i −0.205469 0.149282i
\(729\) 25.9309 7.52239i 0.960405 0.278607i
\(730\) −0.0861184 0.265045i −0.00318738 0.00980976i
\(731\) 6.12466 + 8.42987i 0.226529 + 0.311790i
\(732\) 7.78355 + 15.4784i 0.287688 + 0.572100i
\(733\) −29.2033 + 9.48872i −1.07865 + 0.350474i −0.793850 0.608114i \(-0.791926\pi\)
−0.284797 + 0.958588i \(0.591926\pi\)
\(734\) −8.06717 + 24.8282i −0.297765 + 0.916425i
\(735\) −3.00982 + 2.97807i −0.111019 + 0.109848i
\(736\) 5.69092i 0.209770i
\(737\) 1.58717 + 3.03904i 0.0584642 + 0.111945i
\(738\) 25.7062 + 8.65491i 0.946258 + 0.318592i
\(739\) −6.91915 + 9.52339i −0.254525 + 0.350324i −0.917090 0.398681i \(-0.869468\pi\)
0.662565 + 0.749005i \(0.269468\pi\)
\(740\) 15.9627 + 5.18658i 0.586799 + 0.190663i
\(741\) −11.6046 75.8702i −0.426306 2.78716i
\(742\) 1.05424 0.765951i 0.0387024 0.0281190i
\(743\) 12.7090 9.23363i 0.466248 0.338749i −0.329729 0.944076i \(-0.606957\pi\)
0.795977 + 0.605327i \(0.206957\pi\)
\(744\) −0.206527 1.35026i −0.00757163 0.0495029i
\(745\) 46.2670 + 15.0331i 1.69509 + 0.550769i
\(746\) −11.2645 + 15.5042i −0.412422 + 0.567650i
\(747\) −7.35287 2.47561i −0.269027 0.0905777i
\(748\) −0.820897 + 5.54323i −0.0300150 + 0.202681i
\(749\) 7.86549i 0.287399i
\(750\) −12.1116 + 11.9838i −0.442253 + 0.437588i
\(751\) −4.88687 + 15.0402i −0.178325 + 0.548826i −0.999770 0.0214610i \(-0.993168\pi\)
0.821445 + 0.570288i \(0.193168\pi\)
\(752\) −4.81667 + 1.56503i −0.175646 + 0.0570708i
\(753\) −18.2299 36.2521i −0.664334 1.32110i
\(754\) −22.5530 31.0415i −0.821330 1.13046i
\(755\) −4.73171 14.5627i −0.172204 0.529991i
\(756\) 3.61532 + 3.73222i 0.131488 + 0.135739i
\(757\) 31.5210 + 22.9013i 1.14565 + 0.832363i 0.987896 0.155115i \(-0.0495749\pi\)
0.157753 + 0.987479i \(0.449575\pi\)
\(758\) −2.63289 −0.0956310
\(759\) −0.155467 32.6915i −0.00564309 1.18662i
\(760\) 15.8082 0.573424
\(761\) −30.5972 22.2302i −1.10915 0.805843i −0.126618 0.991952i \(-0.540412\pi\)
−0.982529 + 0.186109i \(0.940412\pi\)
\(762\) −12.0697 6.23067i −0.437240 0.225713i
\(763\) 3.01248 + 9.27147i 0.109059 + 0.335650i
\(764\) −6.53593 8.99593i −0.236462 0.325462i
\(765\) −3.70381 11.8244i −0.133911 0.427512i
\(766\) −9.84243 + 3.19800i −0.355621 + 0.115548i
\(767\) 28.9714 89.1647i 1.04610 3.21955i
\(768\) −1.21823 1.23122i −0.0439592 0.0444279i
\(769\) 3.68574i 0.132911i 0.997789 + 0.0664557i \(0.0211691\pi\)
−0.997789 + 0.0664557i \(0.978831\pi\)
\(770\) 5.67509 5.79042i 0.204516 0.208672i
\(771\) 3.30235 20.1578i 0.118931 0.725967i
\(772\) 7.60485 10.4672i 0.273705 0.376722i
\(773\) 9.39362 + 3.05217i 0.337865 + 0.109779i 0.473036 0.881043i \(-0.343158\pi\)
−0.135170 + 0.990822i \(0.543158\pi\)