Properties

Label 144.2.x.e.85.13
Level $144$
Weight $2$
Character 144.85
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 85.13
Character \(\chi\) \(=\) 144.85
Dual form 144.2.x.e.61.13

$q$-expansion

\(f(q)\) \(=\) \(q+(0.902916 - 1.08846i) q^{2} +(-1.15652 - 1.28937i) q^{3} +(-0.369486 - 1.96557i) q^{4} +(1.21694 - 0.326078i) q^{5} +(-2.44766 + 0.0946360i) q^{6} +(-0.707732 + 0.408609i) q^{7} +(-2.47306 - 1.37258i) q^{8} +(-0.324925 + 2.98235i) q^{9} +O(q^{10})\) \(q+(0.902916 - 1.08846i) q^{2} +(-1.15652 - 1.28937i) q^{3} +(-0.369486 - 1.96557i) q^{4} +(1.21694 - 0.326078i) q^{5} +(-2.44766 + 0.0946360i) q^{6} +(-0.707732 + 0.408609i) q^{7} +(-2.47306 - 1.37258i) q^{8} +(-0.324925 + 2.98235i) q^{9} +(0.743871 - 1.61901i) q^{10} +(0.497094 - 1.85518i) q^{11} +(-2.10702 + 2.74963i) q^{12} +(0.116336 + 0.434170i) q^{13} +(-0.194268 + 1.13928i) q^{14} +(-1.82785 - 1.19196i) q^{15} +(-3.72696 + 1.45250i) q^{16} +6.62002 q^{17} +(2.95279 + 3.04648i) q^{18} +(1.18421 - 1.18421i) q^{19} +(-1.09057 - 2.27150i) q^{20} +(1.34535 + 0.439960i) q^{21} +(-1.57045 - 2.21614i) q^{22} +(2.66201 + 1.53691i) q^{23} +(1.09039 + 4.77609i) q^{24} +(-2.95551 + 1.70637i) q^{25} +(0.577617 + 0.265393i) q^{26} +(4.22112 - 3.03020i) q^{27} +(1.06465 + 1.24012i) q^{28} +(8.65622 + 2.31943i) q^{29} +(-2.94780 + 0.913295i) q^{30} +(-4.61440 + 7.99238i) q^{31} +(-1.78414 + 5.36813i) q^{32} +(-2.96690 + 1.50462i) q^{33} +(5.97732 - 7.20562i) q^{34} +(-0.728028 + 0.728028i) q^{35} +(5.98209 - 0.463274i) q^{36} +(-2.14134 - 2.14134i) q^{37} +(-0.219723 - 2.35821i) q^{38} +(0.425259 - 0.652125i) q^{39} +(-3.45713 - 0.863932i) q^{40} +(-9.15868 - 5.28777i) q^{41} +(1.69362 - 1.06711i) q^{42} +(1.66072 - 6.19791i) q^{43} +(-3.83016 - 0.291611i) q^{44} +(0.577065 + 3.73529i) q^{45} +(4.07643 - 1.50979i) q^{46} +(-0.140916 - 0.244074i) q^{47} +(6.18311 + 3.12556i) q^{48} +(-3.16608 + 5.48381i) q^{49} +(-0.811269 + 4.75766i) q^{50} +(-7.65618 - 8.53562i) q^{51} +(0.810409 - 0.389086i) q^{52} +(4.83822 + 4.83822i) q^{53} +(0.513069 - 7.33054i) q^{54} -2.41973i q^{55} +(2.31111 - 0.0390992i) q^{56} +(-2.89645 - 0.157317i) q^{57} +(10.3404 - 7.32769i) q^{58} +(-7.15823 + 1.91804i) q^{59} +(-1.66753 + 4.03318i) q^{60} +(-9.87829 - 2.64688i) q^{61} +(4.53296 + 12.2390i) q^{62} +(-0.988656 - 2.24347i) q^{63} +(4.23207 + 6.78893i) q^{64} +(0.283147 + 0.490424i) q^{65} +(-1.04115 + 4.58789i) q^{66} +(1.39968 + 5.22368i) q^{67} +(-2.44600 - 13.0121i) q^{68} +(-1.09702 - 5.20977i) q^{69} +(0.135081 + 1.44978i) q^{70} +3.27174i q^{71} +(4.89707 - 6.92956i) q^{72} -4.92262i q^{73} +(-4.26422 + 0.397312i) q^{74} +(5.61824 + 1.83729i) q^{75} +(-2.76521 - 1.89011i) q^{76} +(0.406234 + 1.51609i) q^{77} +(-0.325838 - 1.05169i) q^{78} +(7.70232 + 13.3408i) q^{79} +(-4.06186 + 2.98289i) q^{80} +(-8.78885 - 1.93808i) q^{81} +(-14.0250 + 5.19444i) q^{82} +(-10.9241 - 2.92711i) q^{83} +(0.367685 - 2.80695i) q^{84} +(8.05616 - 2.15864i) q^{85} +(-5.24667 - 7.40382i) q^{86} +(-7.02050 - 13.8435i) q^{87} +(-3.77572 + 3.90567i) q^{88} -3.44143i q^{89} +(4.58675 + 2.74454i) q^{90} +(-0.259740 - 0.259740i) q^{91} +(2.03734 - 5.80024i) q^{92} +(15.6417 - 3.29369i) q^{93} +(-0.392899 - 0.0669966i) q^{94} +(1.05497 - 1.82726i) q^{95} +(8.98487 - 3.90794i) q^{96} +(-4.46939 - 7.74121i) q^{97} +(3.11020 + 8.39756i) q^{98} +(5.37128 + 2.08530i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} + O(q^{10}) \) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} - 20q^{10} - 2q^{11} + 8q^{12} - 16q^{13} - 4q^{14} - 20q^{15} - 10q^{16} - 16q^{17} + 28q^{19} + 12q^{20} - 16q^{21} - 8q^{22} - 40q^{24} - 4q^{26} + 8q^{27} - 16q^{28} + 4q^{29} + 18q^{30} + 28q^{31} - 46q^{32} - 32q^{33} - 14q^{34} - 16q^{35} + 14q^{36} + 16q^{37} + 2q^{38} - 10q^{40} + 26q^{42} - 10q^{43} + 60q^{44} + 40q^{45} + 20q^{46} - 56q^{47} + 2q^{48} + 4q^{49} - 36q^{50} - 54q^{51} + 6q^{52} - 8q^{53} + 92q^{54} + 52q^{56} - 14q^{58} - 14q^{59} + 18q^{60} - 32q^{61} + 16q^{62} - 108q^{63} - 44q^{64} - 64q^{65} + 26q^{66} - 18q^{67} + 16q^{68} + 32q^{69} + 14q^{70} + 114q^{72} + 38q^{74} + 86q^{75} + 10q^{76} - 36q^{77} + 16q^{78} + 44q^{79} + 144q^{80} - 44q^{81} - 88q^{82} + 20q^{83} - 58q^{84} - 8q^{85} + 76q^{86} - 42q^{88} - 80q^{91} - 68q^{92} - 4q^{93} + 20q^{94} + 48q^{95} + 94q^{96} + 40q^{97} + 88q^{98} + 28q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.902916 1.08846i 0.638458 0.769657i
\(3\) −1.15652 1.28937i −0.667717 0.744415i
\(4\) −0.369486 1.96557i −0.184743 0.982787i
\(5\) 1.21694 0.326078i 0.544232 0.145827i 0.0237796 0.999717i \(-0.492430\pi\)
0.520452 + 0.853891i \(0.325763\pi\)
\(6\) −2.44766 + 0.0946360i −0.999253 + 0.0386350i
\(7\) −0.707732 + 0.408609i −0.267497 + 0.154440i −0.627750 0.778415i \(-0.716024\pi\)
0.360252 + 0.932855i \(0.382691\pi\)
\(8\) −2.47306 1.37258i −0.874359 0.485279i
\(9\) −0.324925 + 2.98235i −0.108308 + 0.994117i
\(10\) 0.743871 1.61901i 0.235233 0.511976i
\(11\) 0.497094 1.85518i 0.149879 0.559357i −0.849610 0.527411i \(-0.823163\pi\)
0.999490 0.0319463i \(-0.0101706\pi\)
\(12\) −2.10702 + 2.74963i −0.608246 + 0.793749i
\(13\) 0.116336 + 0.434170i 0.0322657 + 0.120417i 0.980180 0.198107i \(-0.0634794\pi\)
−0.947915 + 0.318524i \(0.896813\pi\)
\(14\) −0.194268 + 1.13928i −0.0519203 + 0.304484i
\(15\) −1.82785 1.19196i −0.471948 0.307764i
\(16\) −3.72696 + 1.45250i −0.931740 + 0.363126i
\(17\) 6.62002 1.60559 0.802795 0.596255i \(-0.203345\pi\)
0.802795 + 0.596255i \(0.203345\pi\)
\(18\) 2.95279 + 3.04648i 0.695979 + 0.718062i
\(19\) 1.18421 1.18421i 0.271677 0.271677i −0.558098 0.829775i \(-0.688469\pi\)
0.829775 + 0.558098i \(0.188469\pi\)
\(20\) −1.09057 2.27150i −0.243859 0.507924i
\(21\) 1.34535 + 0.439960i 0.293580 + 0.0960072i
\(22\) −1.57045 2.21614i −0.334822 0.472482i
\(23\) 2.66201 + 1.53691i 0.555067 + 0.320468i 0.751163 0.660117i \(-0.229493\pi\)
−0.196096 + 0.980585i \(0.562826\pi\)
\(24\) 1.09039 + 4.77609i 0.222575 + 0.974916i
\(25\) −2.95551 + 1.70637i −0.591102 + 0.341273i
\(26\) 0.577617 + 0.265393i 0.113280 + 0.0520478i
\(27\) 4.22112 3.03020i 0.812356 0.583163i
\(28\) 1.06465 + 1.24012i 0.201200 + 0.234361i
\(29\) 8.65622 + 2.31943i 1.60742 + 0.430707i 0.947272 0.320430i \(-0.103827\pi\)
0.660147 + 0.751136i \(0.270494\pi\)
\(30\) −2.94780 + 0.913295i −0.538192 + 0.166744i
\(31\) −4.61440 + 7.99238i −0.828771 + 1.43547i 0.0702316 + 0.997531i \(0.477626\pi\)
−0.899003 + 0.437943i \(0.855707\pi\)
\(32\) −1.78414 + 5.36813i −0.315394 + 0.948961i
\(33\) −2.96690 + 1.50462i −0.516471 + 0.261920i
\(34\) 5.97732 7.20562i 1.02510 1.23575i
\(35\) −0.728028 + 0.728028i −0.123059 + 0.123059i
\(36\) 5.98209 0.463274i 0.997015 0.0772123i
\(37\) −2.14134 2.14134i −0.352035 0.352035i 0.508831 0.860866i \(-0.330078\pi\)
−0.860866 + 0.508831i \(0.830078\pi\)
\(38\) −0.219723 2.35821i −0.0356437 0.382552i
\(39\) 0.425259 0.652125i 0.0680960 0.104424i
\(40\) −3.45713 0.863932i −0.546621 0.136600i
\(41\) −9.15868 5.28777i −1.43035 0.825810i −0.433199 0.901299i \(-0.642615\pi\)
−0.997147 + 0.0754884i \(0.975948\pi\)
\(42\) 1.69362 1.06711i 0.261331 0.164659i
\(43\) 1.66072 6.19791i 0.253258 0.945172i −0.715793 0.698312i \(-0.753935\pi\)
0.969051 0.246860i \(-0.0793987\pi\)
\(44\) −3.83016 0.291611i −0.577418 0.0439620i
\(45\) 0.577065 + 3.73529i 0.0860238 + 0.556825i
\(46\) 4.07643 1.50979i 0.601037 0.222606i
\(47\) −0.140916 0.244074i −0.0205547 0.0356018i 0.855565 0.517695i \(-0.173210\pi\)
−0.876120 + 0.482093i \(0.839877\pi\)
\(48\) 6.18311 + 3.12556i 0.892455 + 0.451136i
\(49\) −3.16608 + 5.48381i −0.452297 + 0.783401i
\(50\) −0.811269 + 4.75766i −0.114731 + 0.672834i
\(51\) −7.65618 8.53562i −1.07208 1.19523i
\(52\) 0.810409 0.389086i 0.112383 0.0539565i
\(53\) 4.83822 + 4.83822i 0.664580 + 0.664580i 0.956456 0.291876i \(-0.0942794\pi\)
−0.291876 + 0.956456i \(0.594279\pi\)
\(54\) 0.513069 7.33054i 0.0698198 0.997560i
\(55\) 2.41973i 0.326277i
\(56\) 2.31111 0.0390992i 0.308835 0.00522485i
\(57\) −2.89645 0.157317i −0.383644 0.0208372i
\(58\) 10.3404 7.32769i 1.35777 0.962173i
\(59\) −7.15823 + 1.91804i −0.931923 + 0.249708i −0.692674 0.721251i \(-0.743568\pi\)
−0.239248 + 0.970958i \(0.576901\pi\)
\(60\) −1.66753 + 4.03318i −0.215277 + 0.520682i
\(61\) −9.87829 2.64688i −1.26479 0.338898i −0.436755 0.899581i \(-0.643872\pi\)
−0.828031 + 0.560682i \(0.810539\pi\)
\(62\) 4.53296 + 12.2390i 0.575687 + 1.55436i
\(63\) −0.988656 2.24347i −0.124559 0.282651i
\(64\) 4.23207 + 6.78893i 0.529008 + 0.848617i
\(65\) 0.283147 + 0.490424i 0.0351200 + 0.0608296i
\(66\) −1.04115 + 4.58789i −0.128157 + 0.564730i
\(67\) 1.39968 + 5.22368i 0.170998 + 0.638175i 0.997199 + 0.0747982i \(0.0238312\pi\)
−0.826200 + 0.563376i \(0.809502\pi\)
\(68\) −2.44600 13.0121i −0.296622 1.57795i
\(69\) −1.09702 5.20977i −0.132066 0.627182i
\(70\) 0.135081 + 1.44978i 0.0161452 + 0.173282i
\(71\) 3.27174i 0.388284i 0.980973 + 0.194142i \(0.0621922\pi\)
−0.980973 + 0.194142i \(0.937808\pi\)
\(72\) 4.89707 6.92956i 0.577125 0.816656i
\(73\) 4.92262i 0.576150i −0.957608 0.288075i \(-0.906985\pi\)
0.957608 0.288075i \(-0.0930152\pi\)
\(74\) −4.26422 + 0.397312i −0.495705 + 0.0461866i
\(75\) 5.61824 + 1.83729i 0.648738 + 0.212152i
\(76\) −2.76521 1.89011i −0.317191 0.216810i
\(77\) 0.406234 + 1.51609i 0.0462947 + 0.172774i
\(78\) −0.325838 1.05169i −0.0368939 0.119081i
\(79\) 7.70232 + 13.3408i 0.866578 + 1.50096i 0.865472 + 0.500958i \(0.167019\pi\)
0.00110666 + 0.999999i \(0.499648\pi\)
\(80\) −4.06186 + 2.98289i −0.454129 + 0.333497i
\(81\) −8.78885 1.93808i −0.976539 0.215342i
\(82\) −14.0250 + 5.19444i −1.54881 + 0.573630i
\(83\) −10.9241 2.92711i −1.19908 0.321292i −0.396610 0.917987i \(-0.629813\pi\)
−0.802468 + 0.596695i \(0.796480\pi\)
\(84\) 0.367685 2.80695i 0.0401177 0.306263i
\(85\) 8.05616 2.15864i 0.873813 0.234138i
\(86\) −5.24667 7.40382i −0.565763 0.798374i
\(87\) −7.02050 13.8435i −0.752676 1.48418i
\(88\) −3.77572 + 3.90567i −0.402493 + 0.416346i
\(89\) 3.44143i 0.364790i −0.983225 0.182395i \(-0.941615\pi\)
0.983225 0.182395i \(-0.0583850\pi\)
\(90\) 4.58675 + 2.74454i 0.483486 + 0.289300i
\(91\) −0.259740 0.259740i −0.0272282 0.0272282i
\(92\) 2.03734 5.80024i 0.212407 0.604717i
\(93\) 15.6417 3.29369i 1.62197 0.341540i
\(94\) −0.392899 0.0669966i −0.0405245 0.00691018i
\(95\) 1.05497 1.82726i 0.108238 0.187473i
\(96\) 8.98487 3.90794i 0.917015 0.398853i
\(97\) −4.46939 7.74121i −0.453798 0.786001i 0.544820 0.838553i \(-0.316598\pi\)
−0.998618 + 0.0525516i \(0.983265\pi\)
\(98\) 3.11020 + 8.39756i 0.314177 + 0.848282i
\(99\) 5.37128 + 2.08530i 0.539834 + 0.209581i
\(100\) 4.44601 + 5.17880i 0.444601 + 0.517880i
\(101\) 1.78073 6.64577i 0.177189 0.661278i −0.818979 0.573823i \(-0.805460\pi\)
0.996168 0.0874556i \(-0.0278736\pi\)
\(102\) −16.2036 + 0.626492i −1.60439 + 0.0620320i
\(103\) 5.76134 + 3.32631i 0.567681 + 0.327751i 0.756223 0.654314i \(-0.227043\pi\)
−0.188541 + 0.982065i \(0.560376\pi\)
\(104\) 0.308227 1.23341i 0.0302241 0.120946i
\(105\) 1.78067 + 0.0967154i 0.173776 + 0.00943845i
\(106\) 9.63471 0.897699i 0.935805 0.0871922i
\(107\) −4.06262 4.06262i −0.392748 0.392748i 0.482918 0.875666i \(-0.339577\pi\)
−0.875666 + 0.482918i \(0.839577\pi\)
\(108\) −7.51573 7.17731i −0.723202 0.690637i
\(109\) −7.19802 + 7.19802i −0.689445 + 0.689445i −0.962109 0.272664i \(-0.912095\pi\)
0.272664 + 0.962109i \(0.412095\pi\)
\(110\) −2.63378 2.18481i −0.251121 0.208314i
\(111\) −0.284468 + 5.23748i −0.0270005 + 0.497119i
\(112\) 2.04418 2.55085i 0.193157 0.241033i
\(113\) 6.45739 11.1845i 0.607460 1.05215i −0.384197 0.923251i \(-0.625522\pi\)
0.991657 0.128901i \(-0.0411450\pi\)
\(114\) −2.78648 + 3.01062i −0.260978 + 0.281970i
\(115\) 3.74066 + 1.00231i 0.348818 + 0.0934655i
\(116\) 1.36065 17.8714i 0.126333 1.65932i
\(117\) −1.33265 + 0.205881i −0.123203 + 0.0190337i
\(118\) −4.37557 + 9.52327i −0.402804 + 0.876688i
\(119\) −4.68520 + 2.70500i −0.429491 + 0.247967i
\(120\) 2.88432 + 5.45666i 0.263301 + 0.498123i
\(121\) 6.33169 + 3.65560i 0.575608 + 0.332328i
\(122\) −11.8003 + 8.36221i −1.06835 + 0.757079i
\(123\) 3.77433 + 17.9243i 0.340320 + 1.61618i
\(124\) 17.4146 + 6.11687i 1.56387 + 0.549312i
\(125\) −7.49458 + 7.49458i −0.670336 + 0.670336i
\(126\) −3.33460 0.949555i −0.297070 0.0845930i
\(127\) 14.6917 1.30368 0.651838 0.758358i \(-0.273998\pi\)
0.651838 + 0.758358i \(0.273998\pi\)
\(128\) 11.2107 + 1.52341i 0.990893 + 0.134651i
\(129\) −9.91202 + 5.02672i −0.872705 + 0.442578i
\(130\) 0.789464 + 0.134618i 0.0692406 + 0.0118068i
\(131\) 2.59556 + 9.68678i 0.226775 + 0.846338i 0.981685 + 0.190509i \(0.0610139\pi\)
−0.754910 + 0.655828i \(0.772319\pi\)
\(132\) 4.05366 + 5.27573i 0.352826 + 0.459193i
\(133\) −0.354225 + 1.32198i −0.0307152 + 0.114631i
\(134\) 6.94956 + 3.19305i 0.600351 + 0.275838i
\(135\) 4.14877 5.06399i 0.357069 0.435839i
\(136\) −16.3717 9.08648i −1.40386 0.779159i
\(137\) 2.37032 1.36850i 0.202510 0.116919i −0.395316 0.918545i \(-0.629365\pi\)
0.597826 + 0.801626i \(0.296031\pi\)
\(138\) −6.66114 3.50991i −0.567034 0.298784i
\(139\) 8.46230 2.26747i 0.717763 0.192324i 0.118590 0.992943i \(-0.462163\pi\)
0.599173 + 0.800619i \(0.295496\pi\)
\(140\) 1.69999 + 1.16200i 0.143675 + 0.0982067i
\(141\) −0.151728 + 0.463968i −0.0127778 + 0.0390732i
\(142\) 3.56115 + 2.95410i 0.298845 + 0.247903i
\(143\) 0.863293 0.0721922
\(144\) −3.12090 11.5871i −0.260075 0.965588i
\(145\) 11.2904 0.937617
\(146\) −5.35807 4.44472i −0.443437 0.367847i
\(147\) 10.7323 2.25990i 0.885182 0.186393i
\(148\) −3.41777 + 5.00016i −0.280939 + 0.411011i
\(149\) −8.25990 + 2.21323i −0.676678 + 0.181315i −0.580761 0.814074i \(-0.697245\pi\)
−0.0959167 + 0.995389i \(0.530578\pi\)
\(150\) 7.07261 4.45630i 0.577476 0.363856i
\(151\) −20.2738 + 11.7051i −1.64986 + 0.952546i −0.672732 + 0.739886i \(0.734879\pi\)
−0.977126 + 0.212660i \(0.931787\pi\)
\(152\) −4.55405 + 1.30321i −0.369382 + 0.105704i
\(153\) −2.15101 + 19.7432i −0.173899 + 1.59614i
\(154\) 2.01699 + 0.926729i 0.162534 + 0.0746779i
\(155\) −3.00931 + 11.2309i −0.241714 + 0.902087i
\(156\) −1.43893 0.594928i −0.115206 0.0476323i
\(157\) −5.60365 20.9131i −0.447220 1.66905i −0.710008 0.704194i \(-0.751309\pi\)
0.262788 0.964854i \(-0.415358\pi\)
\(158\) 21.4755 + 3.66197i 1.70850 + 0.291330i
\(159\) 0.642736 11.8337i 0.0509723 0.938475i
\(160\) −0.420759 + 7.11446i −0.0332639 + 0.562448i
\(161\) −2.51198 −0.197972
\(162\) −10.0451 + 7.81638i −0.789219 + 0.614112i
\(163\) 1.39858 1.39858i 0.109545 0.109545i −0.650210 0.759755i \(-0.725319\pi\)
0.759755 + 0.650210i \(0.225319\pi\)
\(164\) −7.00949 + 19.9558i −0.547349 + 1.55829i
\(165\) −3.11992 + 2.79847i −0.242885 + 0.217860i
\(166\) −13.0496 + 9.24753i −1.01285 + 0.717747i
\(167\) 20.0385 + 11.5692i 1.55063 + 0.895254i 0.998091 + 0.0617643i \(0.0196727\pi\)
0.552535 + 0.833490i \(0.313661\pi\)
\(168\) −2.72326 2.93465i −0.210104 0.226413i
\(169\) 11.0834 6.39898i 0.852566 0.492229i
\(170\) 4.92444 10.7179i 0.377687 0.822023i
\(171\) 3.14696 + 3.91652i 0.240654 + 0.299504i
\(172\) −12.7961 0.974234i −0.975690 0.0742847i
\(173\) 4.95697 + 1.32822i 0.376871 + 0.100982i 0.442282 0.896876i \(-0.354169\pi\)
−0.0654105 + 0.997858i \(0.520836\pi\)
\(174\) −21.4070 4.85798i −1.62286 0.368283i
\(175\) 1.39447 2.41530i 0.105412 0.182579i
\(176\) 0.842008 + 7.63621i 0.0634687 + 0.575601i
\(177\) 10.7517 + 7.01132i 0.808147 + 0.527003i
\(178\) −3.74585 3.10732i −0.280763 0.232903i
\(179\) 3.14784 3.14784i 0.235281 0.235281i −0.579612 0.814893i \(-0.696796\pi\)
0.814893 + 0.579612i \(0.196796\pi\)
\(180\) 7.12878 2.51440i 0.531348 0.187413i
\(181\) −2.82816 2.82816i −0.210216 0.210216i 0.594143 0.804359i \(-0.297491\pi\)
−0.804359 + 0.594143i \(0.797491\pi\)
\(182\) −0.517240 + 0.0481930i −0.0383404 + 0.00357231i
\(183\) 8.01164 + 15.7979i 0.592238 + 1.16781i
\(184\) −4.47378 7.45468i −0.329811 0.549567i
\(185\) −3.30413 1.90764i −0.242924 0.140253i
\(186\) 10.5381 19.9993i 0.772693 1.46642i
\(187\) 3.29077 12.2813i 0.240645 0.898099i
\(188\) −0.427678 + 0.367162i −0.0311916 + 0.0267781i
\(189\) −1.74925 + 3.86936i −0.127240 + 0.281454i
\(190\) −1.03635 2.79815i −0.0751847 0.202999i
\(191\) −8.50375 14.7289i −0.615310 1.06575i −0.990330 0.138732i \(-0.955697\pi\)
0.375020 0.927017i \(-0.377636\pi\)
\(192\) 3.85895 13.3082i 0.278496 0.960438i
\(193\) −2.70970 + 4.69334i −0.195049 + 0.337834i −0.946916 0.321480i \(-0.895820\pi\)
0.751868 + 0.659314i \(0.229153\pi\)
\(194\) −12.4615 2.12491i −0.894682 0.152560i
\(195\) 0.304871 0.932265i 0.0218323 0.0667609i
\(196\) 11.9486 + 4.19697i 0.853475 + 0.299783i
\(197\) −8.03915 8.03915i −0.572766 0.572766i 0.360135 0.932900i \(-0.382731\pi\)
−0.932900 + 0.360135i \(0.882731\pi\)
\(198\) 7.11958 3.96356i 0.505966 0.281678i
\(199\) 11.2258i 0.795773i −0.917435 0.397886i \(-0.869744\pi\)
0.917435 0.397886i \(-0.130256\pi\)
\(200\) 9.65128 0.163280i 0.682449 0.0115456i
\(201\) 5.11648 7.84599i 0.360888 0.553414i
\(202\) −5.62580 7.93882i −0.395830 0.558573i
\(203\) −7.07402 + 1.89548i −0.496499 + 0.133036i
\(204\) −13.9485 + 18.2026i −0.976593 + 1.27444i
\(205\) −12.8698 3.44845i −0.898865 0.240850i
\(206\) 8.82255 3.26760i 0.614696 0.227665i
\(207\) −5.44856 + 7.43966i −0.378701 + 0.517092i
\(208\) −1.06421 1.44916i −0.0737898 0.100481i
\(209\) −1.60826 2.78559i −0.111246 0.192683i
\(210\) 1.71307 1.85086i 0.118213 0.127722i
\(211\) −3.84526 14.3507i −0.264718 0.987942i −0.962423 0.271556i \(-0.912462\pi\)
0.697704 0.716386i \(-0.254205\pi\)
\(212\) 7.72222 11.2975i 0.530364 0.775917i
\(213\) 4.21846 3.78383i 0.289044 0.259264i
\(214\) −8.09019 + 0.753791i −0.553034 + 0.0515281i
\(215\) 8.08400i 0.551324i
\(216\) −14.5983 + 1.70006i −0.993287 + 0.115674i
\(217\) 7.54195i 0.511981i
\(218\) 1.33554 + 14.3340i 0.0904544 + 0.970818i
\(219\) −6.34706 + 5.69311i −0.428895 + 0.384705i
\(220\) −4.75616 + 0.894058i −0.320660 + 0.0602773i
\(221\) 0.770143 + 2.87421i 0.0518054 + 0.193340i
\(222\) 5.44393 + 5.03863i 0.365373 + 0.338171i
\(223\) −8.28003 14.3414i −0.554472 0.960373i −0.997944 0.0640854i \(-0.979587\pi\)
0.443473 0.896288i \(-0.353746\pi\)
\(224\) −0.930776 4.52821i −0.0621901 0.302554i
\(225\) −4.12866 9.36882i −0.275244 0.624588i
\(226\) −6.34342 17.1273i −0.421958 1.13929i
\(227\) 7.88725 + 2.11338i 0.523495 + 0.140270i 0.510883 0.859650i \(-0.329319\pi\)
0.0126123 + 0.999920i \(0.495985\pi\)
\(228\) 0.760978 + 5.75130i 0.0503970 + 0.380889i
\(229\) −4.33776 + 1.16230i −0.286647 + 0.0768068i −0.399278 0.916830i \(-0.630739\pi\)
0.112631 + 0.993637i \(0.464072\pi\)
\(230\) 4.46847 3.16655i 0.294642 0.208796i
\(231\) 1.48497 2.27717i 0.0977039 0.149827i
\(232\) −18.2238 17.6174i −1.19645 1.15664i
\(233\) 7.33128i 0.480288i 0.970737 + 0.240144i \(0.0771947\pi\)
−0.970737 + 0.240144i \(0.922805\pi\)
\(234\) −0.979176 + 1.63643i −0.0640108 + 0.106977i
\(235\) −0.251073 0.251073i −0.0163782 0.0163782i
\(236\) 6.41492 + 13.3613i 0.417576 + 0.869749i
\(237\) 8.29329 25.3600i 0.538707 1.64731i
\(238\) −1.28606 + 7.54203i −0.0833627 + 0.488877i
\(239\) 3.40305 5.89425i 0.220125 0.381268i −0.734721 0.678370i \(-0.762687\pi\)
0.954846 + 0.297102i \(0.0960202\pi\)
\(240\) 8.54365 + 1.78744i 0.551490 + 0.115379i
\(241\) 2.98687 + 5.17340i 0.192401 + 0.333248i 0.946045 0.324034i \(-0.105039\pi\)
−0.753644 + 0.657282i \(0.771706\pi\)
\(242\) 9.69596 3.59109i 0.623280 0.230844i
\(243\) 7.66558 + 13.5735i 0.491747 + 0.870738i
\(244\) −1.55275 + 20.3945i −0.0994043 + 1.30562i
\(245\) −2.06478 + 7.70585i −0.131914 + 0.492309i
\(246\) 22.9178 + 12.0759i 1.46118 + 0.769932i
\(247\) 0.651915 + 0.376383i 0.0414804 + 0.0239487i
\(248\) 22.3819 13.4320i 1.42125 0.852934i
\(249\) 8.85985 + 17.4704i 0.561470 + 1.10714i
\(250\) 1.39057 + 14.9245i 0.0879473 + 0.943909i
\(251\) −16.1412 16.1412i −1.01882 1.01882i −0.999819 0.0190030i \(-0.993951\pi\)
−0.0190030 0.999819i \(-0.506049\pi\)
\(252\) −4.04442 + 2.77221i −0.254774 + 0.174633i
\(253\) 4.17451 4.17451i 0.262449 0.262449i
\(254\) 13.2654 15.9913i 0.832342 1.00338i
\(255\) −12.1004 7.89082i −0.757755 0.494142i
\(256\) 11.7805 10.8269i 0.736279 0.676678i
\(257\) −0.172522 + 0.298817i −0.0107616 + 0.0186397i −0.871356 0.490651i \(-0.836759\pi\)
0.860594 + 0.509291i \(0.170092\pi\)
\(258\) −3.47834 + 15.3275i −0.216552 + 0.954251i
\(259\) 2.39047 + 0.640524i 0.148536 + 0.0398002i
\(260\) 0.859346 0.737750i 0.0532944 0.0457533i
\(261\) −9.72997 + 25.0623i −0.602270 + 1.55131i
\(262\) 12.8872 + 5.92118i 0.796176 + 0.365812i
\(263\) −4.43128 + 2.55840i −0.273244 + 0.157758i −0.630361 0.776302i \(-0.717093\pi\)
0.357117 + 0.934060i \(0.383760\pi\)
\(264\) 9.40253 + 0.351294i 0.578686 + 0.0216207i
\(265\) 7.46546 + 4.31018i 0.458599 + 0.264772i
\(266\) 1.11909 + 1.57920i 0.0686158 + 0.0968269i
\(267\) −4.43726 + 3.98008i −0.271556 + 0.243577i
\(268\) 9.75037 4.68126i 0.595599 0.285953i
\(269\) −15.4613 + 15.4613i −0.942692 + 0.942692i −0.998445 0.0557529i \(-0.982244\pi\)
0.0557529 + 0.998445i \(0.482244\pi\)
\(270\) −1.76595 9.08812i −0.107472 0.553085i
\(271\) −12.4048 −0.753538 −0.376769 0.926307i \(-0.622965\pi\)
−0.376769 + 0.926307i \(0.622965\pi\)
\(272\) −24.6725 + 9.61561i −1.49599 + 0.583032i
\(273\) −0.0345053 + 0.635294i −0.00208836 + 0.0384498i
\(274\) 0.650637 3.81564i 0.0393064 0.230511i
\(275\) 1.69645 + 6.33123i 0.102300 + 0.381787i
\(276\) −9.83485 + 4.08122i −0.591988 + 0.245661i
\(277\) −5.42920 + 20.2621i −0.326209 + 1.21743i 0.586881 + 0.809673i \(0.300356\pi\)
−0.913091 + 0.407757i \(0.866311\pi\)
\(278\) 5.17270 11.2582i 0.310238 0.675222i
\(279\) −22.3368 16.3587i −1.33727 0.979370i
\(280\) 2.79973 0.801184i 0.167316 0.0478799i
\(281\) 10.9537 6.32414i 0.653445 0.377266i −0.136330 0.990663i \(-0.543531\pi\)
0.789775 + 0.613397i \(0.210197\pi\)
\(282\) 0.368013 + 0.584074i 0.0219148 + 0.0347811i
\(283\) −21.2483 + 5.69346i −1.26308 + 0.338441i −0.827375 0.561650i \(-0.810167\pi\)
−0.435703 + 0.900090i \(0.643500\pi\)
\(284\) 6.43084 1.20886i 0.381600 0.0717327i
\(285\) −3.57610 + 0.753021i −0.211830 + 0.0446051i
\(286\) 0.779481 0.939659i 0.0460917 0.0555632i
\(287\) 8.64252 0.510152
\(288\) −15.4299 7.06517i −0.909219 0.416319i
\(289\) 26.8246 1.57792
\(290\) 10.1943 12.2891i 0.598629 0.721644i
\(291\) −4.81231 + 14.7155i −0.282103 + 0.862641i
\(292\) −9.67578 + 1.81884i −0.566232 + 0.106440i
\(293\) −0.111616 + 0.0299075i −0.00652069 + 0.00174721i −0.262078 0.965047i \(-0.584408\pi\)
0.255557 + 0.966794i \(0.417741\pi\)
\(294\) 7.23052 13.7221i 0.421692 0.800291i
\(295\) −8.08571 + 4.66828i −0.470768 + 0.271798i
\(296\) 2.35652 + 8.23483i 0.136970 + 0.478640i
\(297\) −3.52327 9.33723i −0.204441 0.541801i
\(298\) −5.04898 + 10.9889i −0.292480 + 0.636572i
\(299\) −0.357595 + 1.33456i −0.0206802 + 0.0771797i
\(300\) 1.53547 11.7219i 0.0886502 0.676765i
\(301\) 1.35717 + 5.06504i 0.0782262 + 0.291944i
\(302\) −5.56503 + 32.6359i −0.320231 + 1.87799i
\(303\) −10.6283 + 5.38995i −0.610578 + 0.309645i
\(304\) −2.69344 + 6.13358i −0.154479 + 0.351785i
\(305\) −12.8844 −0.737757
\(306\) 19.5475 + 20.1678i 1.11746 + 1.15291i
\(307\) −12.4426 + 12.4426i −0.710135 + 0.710135i −0.966563 0.256428i \(-0.917454\pi\)
0.256428 + 0.966563i \(0.417454\pi\)
\(308\) 2.82988 1.35866i 0.161247 0.0774166i
\(309\) −2.37427 11.2754i −0.135068 0.641436i
\(310\) 9.50722 + 13.4161i 0.539974 + 0.761981i
\(311\) −2.03115 1.17269i −0.115176 0.0664969i 0.441305 0.897357i \(-0.354516\pi\)
−0.556481 + 0.830860i \(0.687849\pi\)
\(312\) −1.94678 + 1.02904i −0.110215 + 0.0582581i
\(313\) 8.62293 4.97845i 0.487397 0.281399i −0.236097 0.971729i \(-0.575868\pi\)
0.723494 + 0.690331i \(0.242535\pi\)
\(314\) −27.8227 12.7834i −1.57012 0.721411i
\(315\) −1.93468 2.40779i −0.109007 0.135664i
\(316\) 23.3764 20.0687i 1.31503 1.12895i
\(317\) 4.42985 + 1.18698i 0.248805 + 0.0666672i 0.381066 0.924548i \(-0.375557\pi\)
−0.132261 + 0.991215i \(0.542224\pi\)
\(318\) −12.3002 11.3844i −0.689760 0.638408i
\(319\) 8.60590 14.9059i 0.481838 0.834568i
\(320\) 7.36389 + 6.88174i 0.411654 + 0.384701i
\(321\) −0.539701 + 9.93669i −0.0301232 + 0.554612i
\(322\) −2.26811 + 2.73419i −0.126397 + 0.152370i
\(323\) 7.83950 7.83950i 0.436202 0.436202i
\(324\) −0.562085 + 17.9912i −0.0312270 + 0.999512i
\(325\) −1.08468 1.08468i −0.0601674 0.0601674i
\(326\) −0.259497 2.78509i −0.0143722 0.154252i
\(327\) 17.6055 + 0.956225i 0.973588 + 0.0528794i
\(328\) 15.3921 + 25.6480i 0.849887 + 1.41617i
\(329\) 0.199461 + 0.115159i 0.0109967 + 0.00634892i
\(330\) 0.228994 + 5.92268i 0.0126057 + 0.326033i
\(331\) 4.49465 16.7743i 0.247048 0.921997i −0.725294 0.688439i \(-0.758296\pi\)
0.972343 0.233558i \(-0.0750370\pi\)
\(332\) −1.71714 + 22.5537i −0.0942401 + 1.23779i
\(333\) 7.08202 5.69046i 0.388092 0.311835i
\(334\) 30.6857 11.3650i 1.67905 0.621867i
\(335\) 3.40666 + 5.90050i 0.186126 + 0.322379i
\(336\) −5.65312 + 0.314416i −0.308403 + 0.0171528i
\(337\) −14.8424 + 25.7078i −0.808517 + 1.40039i 0.105375 + 0.994433i \(0.466396\pi\)
−0.913891 + 0.405959i \(0.866937\pi\)
\(338\) 3.04231 17.8415i 0.165480 0.970451i
\(339\) −21.8890 + 4.60919i −1.18885 + 0.250337i
\(340\) −7.21961 15.0374i −0.391538 0.815517i
\(341\) 12.5335 + 12.5335i 0.678727 + 0.678727i
\(342\) 7.10440 + 0.110952i 0.384162 + 0.00599957i
\(343\) 10.8953i 0.588290i
\(344\) −12.6142 + 13.0483i −0.680111 + 0.703519i
\(345\) −3.03380 5.98226i −0.163334 0.322074i
\(346\) 5.92144 4.19619i 0.318338 0.225589i
\(347\) 1.94185 0.520318i 0.104244 0.0279321i −0.206320 0.978485i \(-0.566149\pi\)
0.310564 + 0.950552i \(0.399482\pi\)
\(348\) −24.6164 + 18.9143i −1.31958 + 1.01391i
\(349\) 26.6321 + 7.13604i 1.42558 + 0.381984i 0.887461 0.460883i \(-0.152467\pi\)
0.538122 + 0.842867i \(0.319134\pi\)
\(350\) −1.36986 3.69864i −0.0732222 0.197700i
\(351\) 1.80669 + 1.48017i 0.0964339 + 0.0790054i
\(352\) 9.07196 + 5.97836i 0.483537 + 0.318648i
\(353\) 1.58657 + 2.74801i 0.0844444 + 0.146262i 0.905154 0.425083i \(-0.139755\pi\)
−0.820710 + 0.571345i \(0.806422\pi\)
\(354\) 17.3394 5.37214i 0.921579 0.285526i
\(355\) 1.06684 + 3.98150i 0.0566220 + 0.211316i
\(356\) −6.76438 + 1.27156i −0.358511 + 0.0673925i
\(357\) 8.90625 + 2.91254i 0.471369 + 0.154148i
\(358\) −0.584061 6.26853i −0.0308686 0.331302i
\(359\) 22.6997i 1.19804i −0.800732 0.599022i \(-0.795556\pi\)
0.800732 0.599022i \(-0.204444\pi\)
\(360\) 3.69986 10.0297i 0.195000 0.528610i
\(361\) 16.1953i 0.852383i
\(362\) −5.63194 + 0.524747i −0.296008 + 0.0275801i
\(363\) −2.60932 12.3916i −0.136954 0.650393i
\(364\) −0.414568 + 0.606509i −0.0217293 + 0.0317897i
\(365\) −1.60516 5.99054i −0.0840179 0.313559i
\(366\) 24.4292 + 5.54382i 1.27693 + 0.289780i
\(367\) −1.94141 3.36261i −0.101341 0.175527i 0.810897 0.585189i \(-0.198980\pi\)
−0.912237 + 0.409662i \(0.865646\pi\)
\(368\) −12.1536 1.86143i −0.633548 0.0970335i
\(369\) 18.7459 25.5963i 0.975871 1.33249i
\(370\) −5.05974 + 1.87397i −0.263043 + 0.0974232i
\(371\) −5.40110 1.44722i −0.280411 0.0751359i
\(372\) −12.2534 29.5280i −0.635309 1.53096i
\(373\) 4.36176 1.16873i 0.225843 0.0605145i −0.144123 0.989560i \(-0.546036\pi\)
0.369966 + 0.929045i \(0.379369\pi\)
\(374\) −10.3964 14.6709i −0.537586 0.758612i
\(375\) 18.3309 + 0.995622i 0.946602 + 0.0514137i
\(376\) 0.0134840 + 0.797027i 0.000695386 + 0.0411035i
\(377\) 4.02810i 0.207458i
\(378\) 2.63221 + 5.39770i 0.135386 + 0.277628i
\(379\) 14.6109 + 14.6109i 0.750509 + 0.750509i 0.974574 0.224065i \(-0.0719328\pi\)
−0.224065 + 0.974574i \(0.571933\pi\)
\(380\) −3.98141 1.39847i −0.204242 0.0717401i
\(381\) −16.9912 18.9429i −0.870487 0.970476i
\(382\) −23.7100 4.04300i −1.21311 0.206858i
\(383\) 14.4164 24.9699i 0.736643 1.27590i −0.217355 0.976093i \(-0.569743\pi\)
0.953999 0.299811i \(-0.0969236\pi\)
\(384\) −11.0011 16.2165i −0.561400 0.827545i
\(385\) 0.988724 + 1.71252i 0.0503901 + 0.0872781i
\(386\) 2.66188 + 7.18709i 0.135486 + 0.365813i
\(387\) 17.9447 + 6.96672i 0.912182 + 0.354138i
\(388\) −13.5645 + 11.6452i −0.688636 + 0.591195i
\(389\) 0.0510254 0.190429i 0.00258709 0.00965514i −0.964620 0.263643i \(-0.915076\pi\)
0.967207 + 0.253988i \(0.0817425\pi\)
\(390\) −0.739459 1.17360i −0.0374439 0.0594274i
\(391\) 17.6225 + 10.1744i 0.891210 + 0.514540i
\(392\) 15.3568 9.21611i 0.775638 0.465484i
\(393\) 9.48797 14.5496i 0.478605 0.733929i
\(394\) −16.0090 + 1.49161i −0.806520 + 0.0751463i
\(395\) 13.7234 + 13.7234i 0.690499 + 0.690499i
\(396\) 2.11420 11.3281i 0.106243 0.569260i
\(397\) −9.98504 + 9.98504i −0.501135 + 0.501135i −0.911791 0.410656i \(-0.865300\pi\)
0.410656 + 0.911791i \(0.365300\pi\)
\(398\) −12.2188 10.1359i −0.612472 0.508067i
\(399\) 2.11419 1.07218i 0.105842 0.0536759i
\(400\) 8.53657 10.6525i 0.426829 0.532623i
\(401\) 0.396741 0.687175i 0.0198123 0.0343159i −0.855949 0.517060i \(-0.827026\pi\)
0.875762 + 0.482744i \(0.160360\pi\)
\(402\) −3.92030 12.6533i −0.195527 0.631092i
\(403\) −4.00687 1.07364i −0.199596 0.0534817i
\(404\) −13.7207 1.04463i −0.682630 0.0519724i
\(405\) −11.3275 + 0.507321i −0.562866 + 0.0252090i
\(406\) −4.32409 + 9.41124i −0.214601 + 0.467072i
\(407\) −5.03702 + 2.90813i −0.249676 + 0.144150i
\(408\) 7.21841 + 31.6178i 0.357364 + 1.56531i
\(409\) −0.225551 0.130222i −0.0111528 0.00643907i 0.494413 0.869227i \(-0.335383\pi\)
−0.505566 + 0.862788i \(0.668716\pi\)
\(410\) −15.3738 + 10.8946i −0.759259 + 0.538045i
\(411\) −4.50582 1.47350i −0.222256 0.0726826i
\(412\) 4.40937 12.5534i 0.217234 0.618460i
\(413\) 4.28238 4.28238i 0.210722 0.210722i
\(414\) 3.17818 + 12.6479i 0.156199 + 0.621612i
\(415\) −14.2485 −0.699429
\(416\) −2.53824 0.150115i −0.124448 0.00736000i
\(417\) −12.7104 8.28863i −0.622431 0.405896i
\(418\) −4.48412 0.764626i −0.219326 0.0373991i
\(419\) −0.985334 3.67732i −0.0481367 0.179649i 0.937672 0.347522i \(-0.112977\pi\)
−0.985809 + 0.167873i \(0.946310\pi\)
\(420\) −0.467833 3.53578i −0.0228279 0.172528i
\(421\) −0.208895 + 0.779608i −0.0101809 + 0.0379958i −0.970829 0.239771i \(-0.922928\pi\)
0.960649 + 0.277767i \(0.0895943\pi\)
\(422\) −19.0921 8.77206i −0.929388 0.427017i
\(423\) 0.773700 0.340955i 0.0376186 0.0165778i
\(424\) −5.32438 18.6060i −0.258575 0.903589i
\(425\) −19.5655 + 11.2962i −0.949068 + 0.547945i
\(426\) −0.309624 8.00810i −0.0150013 0.387994i
\(427\) 8.07272 2.16308i 0.390666 0.104679i
\(428\) −6.48429 + 9.48645i −0.313430 + 0.458545i
\(429\) −0.998415 1.11310i −0.0482039 0.0537409i
\(430\) −8.79911 7.29917i −0.424331 0.351997i
\(431\) 25.6515 1.23559 0.617796 0.786339i \(-0.288026\pi\)
0.617796 + 0.786339i \(0.288026\pi\)
\(432\) −11.3306 + 17.4246i −0.545143 + 0.838343i
\(433\) −23.0987 −1.11005 −0.555026 0.831833i \(-0.687292\pi\)
−0.555026 + 0.831833i \(0.687292\pi\)
\(434\) −8.20910 6.80974i −0.394049 0.326878i
\(435\) −13.0576 14.5575i −0.626063 0.697977i
\(436\) 16.8078 + 11.4887i 0.804948 + 0.550207i
\(437\) 4.97241 1.33235i 0.237863 0.0637351i
\(438\) 0.465858 + 12.0489i 0.0222595 + 0.575719i
\(439\) −7.88493 + 4.55237i −0.376327 + 0.217273i −0.676219 0.736701i \(-0.736383\pi\)
0.299892 + 0.953973i \(0.403049\pi\)
\(440\) −3.32127 + 5.98415i −0.158335 + 0.285283i
\(441\) −15.3259 11.2242i −0.729805 0.534485i
\(442\) 3.82384 + 1.75690i 0.181881 + 0.0835674i
\(443\) −7.31445 + 27.2979i −0.347520 + 1.29696i 0.542120 + 0.840301i \(0.317622\pi\)
−0.889640 + 0.456662i \(0.849045\pi\)
\(444\) 10.3998 1.37603i 0.493551 0.0653036i
\(445\) −1.12217 4.18801i −0.0531961 0.198531i
\(446\) −23.0862 3.93663i −1.09316 0.186405i
\(447\) 12.4064 + 8.09038i 0.586803 + 0.382662i
\(448\) −5.76919 3.07548i −0.272568 0.145303i
\(449\) 5.90915 0.278870 0.139435 0.990231i \(-0.455471\pi\)
0.139435 + 0.990231i \(0.455471\pi\)
\(450\) −13.9254 3.96537i −0.656450 0.186929i
\(451\) −14.3625 + 14.3625i −0.676302 + 0.676302i
\(452\) −24.3699 8.55995i −1.14627 0.402626i
\(453\) 38.5392 + 12.6032i 1.81073 + 0.592149i
\(454\) 9.42185 6.67674i 0.442189 0.313355i
\(455\) −0.400784 0.231393i −0.0187890 0.0108478i
\(456\) 6.94716 + 4.36465i 0.325330 + 0.204393i
\(457\) −4.70096 + 2.71410i −0.219902 + 0.126960i −0.605905 0.795537i \(-0.707189\pi\)
0.386003 + 0.922497i \(0.373855\pi\)
\(458\) −2.65151 + 5.77093i −0.123897 + 0.269658i
\(459\) 27.9439 20.0600i 1.30431 0.936320i
\(460\) 0.587985 7.72287i 0.0274149 0.360081i
\(461\) −25.1830 6.74777i −1.17289 0.314275i −0.380787 0.924663i \(-0.624347\pi\)
−0.792103 + 0.610388i \(0.791014\pi\)
\(462\) −1.13780 3.67242i −0.0529352 0.170856i
\(463\) −9.87708 + 17.1076i −0.459027 + 0.795057i −0.998910 0.0466825i \(-0.985135\pi\)
0.539883 + 0.841740i \(0.318468\pi\)
\(464\) −35.6304 + 3.92879i −1.65410 + 0.182389i
\(465\) 17.9611 9.10865i 0.832924 0.422404i
\(466\) 7.97980 + 6.61953i 0.369657 + 0.306644i
\(467\) 16.1348 16.1348i 0.746628 0.746628i −0.227217 0.973844i \(-0.572963\pi\)
0.973844 + 0.227217i \(0.0729625\pi\)
\(468\) 0.897069 + 2.54335i 0.0414670 + 0.117566i
\(469\) −3.12504 3.12504i −0.144301 0.144301i
\(470\) −0.499981 + 0.0465849i −0.0230624 + 0.00214880i
\(471\) −20.4839 + 31.4116i −0.943848 + 1.44737i
\(472\) 20.3354 + 5.08179i 0.936013 + 0.233908i
\(473\) −10.6727 6.16188i −0.490731 0.283324i
\(474\) −20.1152 31.9248i −0.923921 1.46636i
\(475\) −1.47925 + 5.52065i −0.0678728 + 0.253305i
\(476\) 7.04799 + 8.20964i 0.323044 + 0.376288i
\(477\) −16.0013 + 12.8572i −0.732650 + 0.588691i
\(478\) −3.34299 9.02609i −0.152905 0.412844i
\(479\) 11.1996 + 19.3982i 0.511721 + 0.886327i 0.999908 + 0.0135877i \(0.00432523\pi\)
−0.488187 + 0.872739i \(0.662341\pi\)
\(480\) 9.65976 7.68550i 0.440905 0.350794i
\(481\) 0.680593 1.17882i 0.0310324 0.0537496i
\(482\) 8.32793 + 1.42007i 0.379327 + 0.0646823i
\(483\) 2.90516 + 3.23886i 0.132189 + 0.147373i
\(484\) 4.84589 13.7961i 0.220268 0.627096i
\(485\) −7.96322 7.96322i −0.361591 0.361591i
\(486\) 21.6955 + 3.91203i 0.984129 + 0.177453i
\(487\) 8.27717i 0.375074i 0.982258 + 0.187537i \(0.0600505\pi\)
−0.982258 + 0.187537i \(0.939950\pi\)
\(488\) 20.7966 + 20.1046i 0.941417 + 0.910093i
\(489\) −3.42076 0.185795i −0.154692 0.00840194i
\(490\) 6.52318 + 9.20516i 0.294687 + 0.415847i
\(491\) 34.7589 9.31362i 1.56865 0.420318i 0.633259 0.773940i \(-0.281717\pi\)
0.935388 + 0.353622i \(0.115050\pi\)
\(492\) 33.8369 14.0415i 1.52549 0.633040i
\(493\) 57.3043 + 15.3546i 2.58086 + 0.691538i
\(494\) 0.998302 0.369740i 0.0449157 0.0166354i
\(495\) 7.21649 + 0.786232i 0.324357 + 0.0353385i
\(496\) 5.58872 36.4897i 0.250941 1.63844i
\(497\) −1.33686 2.31551i −0.0599664 0.103865i
\(498\) 27.0156 + 6.13076i 1.21060 + 0.274726i
\(499\) −7.44528 27.7862i −0.333297 1.24388i −0.905704 0.423911i \(-0.860657\pi\)
0.572407 0.819969i \(-0.306010\pi\)
\(500\) 17.5003 + 11.9620i 0.782637 + 0.534957i
\(501\) −8.25795 39.2170i −0.368938 1.75209i
\(502\) −32.1431 + 2.99489i −1.43462 + 0.133668i
\(503\) 15.6106i 0.696044i 0.937486 + 0.348022i \(0.113146\pi\)
−0.937486 + 0.348022i \(0.886854\pi\)
\(504\) −0.634330 + 6.90525i −0.0282553 + 0.307584i
\(505\) 8.66815i 0.385728i
\(506\) −0.774553 8.31302i −0.0344331 0.369559i
\(507\) −21.0687 6.88995i −0.935696 0.305994i
\(508\) −5.42837 28.8776i −0.240845 1.28124i
\(509\) 2.65858 + 9.92195i 0.117839 + 0.439783i 0.999484 0.0321319i \(-0.0102297\pi\)
−0.881644 + 0.471915i \(0.843563\pi\)
\(510\) −19.5145 + 6.04603i −0.864115 + 0.267723i
\(511\) 2.01143 + 3.48390i 0.0889804 + 0.154119i
\(512\) −1.14782 22.5983i −0.0507272 0.998713i
\(513\) 1.41030 8.58710i 0.0622664 0.379130i
\(514\) 0.169477 + 0.457590i 0.00747532 + 0.0201834i
\(515\) 8.09583 + 2.16927i 0.356745 + 0.0955896i
\(516\) 13.5427 + 17.6255i 0.596186 + 0.775920i
\(517\) −0.522849 + 0.140097i −0.0229949 + 0.00616145i
\(518\) 2.85558 2.02359i 0.125467 0.0889113i
\(519\) −4.02028 7.92745i −0.176471 0.347977i
\(520\) −0.0270939 1.60149i −0.00118815 0.0702300i
\(521\) 21.2775i 0.932185i 0.884736 + 0.466092i \(0.154339\pi\)
−0.884736 + 0.466092i \(0.845661\pi\)
\(522\) 18.4939 + 33.2198i 0.809456 + 1.45399i
\(523\) −2.96994 2.96994i −0.129867 0.129867i 0.639186 0.769052i \(-0.279271\pi\)
−0.769052 + 0.639186i \(0.779271\pi\)
\(524\) 18.0810 8.68090i 0.789874 0.379227i
\(525\) −4.72694 + 0.995354i −0.206300 + 0.0434408i
\(526\) −1.21636 + 7.13328i −0.0530357 + 0.311026i
\(527\) −30.5474 + 52.9097i −1.33067 + 2.30478i
\(528\) 8.87206 9.91708i 0.386107 0.431585i
\(529\) −6.77581 11.7360i −0.294600 0.510263i
\(530\) 11.4321 4.23411i 0.496580 0.183918i
\(531\) −3.39439 21.9716i −0.147304 0.953486i
\(532\) 2.72934 + 0.207800i 0.118332 + 0.00900925i
\(533\) 1.23031 4.59158i 0.0532906 0.198883i
\(534\) 0.325683 + 8.42344i 0.0140937 + 0.364518i
\(535\) −6.26869 3.61923i −0.271019 0.156473i
\(536\) 3.70841 14.8397i 0.160179 0.640976i
\(537\) −7.69926 0.418177i −0.332248 0.0180457i
\(538\) 2.86874 + 30.7892i 0.123680 + 1.32742i
\(539\) 8.59960 + 8.59960i 0.370411 + 0.370411i
\(540\) −11.4866 6.28364i −0.494303 0.270405i
\(541\) −15.1934 + 15.1934i −0.653214 + 0.653214i −0.953765 0.300552i \(-0.902829\pi\)
0.300552 + 0.953765i \(0.402829\pi\)
\(542\) −11.2005 + 13.5021i −0.481102 + 0.579966i
\(543\) −0.375709 + 6.91736i −0.0161232 + 0.296853i
\(544\) −11.8110 + 35.5371i −0.506394 + 1.52364i
\(545\) −6.41244 + 11.1067i −0.274679 + 0.475757i
\(546\) 0.660337 + 0.611175i 0.0282598 + 0.0261559i
\(547\) 33.6172 + 9.00771i 1.43737 + 0.385142i 0.891611 0.452802i \(-0.149575\pi\)
0.545757 + 0.837943i \(0.316242\pi\)
\(548\) −3.56570 4.15339i −0.152319 0.177424i
\(549\) 11.1036 28.6005i 0.473892 1.22064i
\(550\) 8.42303 + 3.87005i 0.359159 + 0.165020i
\(551\) 12.9975 7.50410i 0.553712 0.319686i
\(552\) −4.43780 + 14.3898i −0.188885 + 0.612472i
\(553\) −10.9023 6.29447i −0.463615 0.267668i
\(554\) 17.1523 + 24.2044i 0.728732 + 1.02835i
\(555\) 1.36165 + 6.46645i 0.0577987 + 0.274486i
\(556\) −7.58358 15.7955i −0.321615 0.669877i
\(557\) 15.3686 15.3686i 0.651189 0.651189i −0.302091 0.953279i \(-0.597685\pi\)
0.953279 + 0.302091i \(0.0976845\pi\)
\(558\) −37.9740 + 9.54212i −1.60757 + 0.403950i
\(559\) 2.88415 0.121986
\(560\) 1.65587 3.77080i 0.0699732 0.159345i
\(561\) −19.6409 + 9.96058i −0.829241 + 0.420536i
\(562\) 3.00673 17.6328i 0.126831 0.743797i
\(563\) −4.11840 15.3701i −0.173570 0.647772i −0.996791 0.0800506i \(-0.974492\pi\)
0.823221 0.567721i \(-0.192175\pi\)
\(564\) 0.968025 + 0.126803i 0.0407612 + 0.00533935i
\(565\) 4.21123 15.7165i 0.177168 0.661199i
\(566\) −12.9883 + 28.2686i −0.545939 + 1.18822i
\(567\) 7.01206 2.21956i 0.294479 0.0932128i
\(568\) 4.49071 8.09120i 0.188426 0.339499i
\(569\) 36.4673 21.0544i 1.52879 0.882647i 0.529376 0.848387i \(-0.322426\pi\)
0.999413 0.0342597i \(-0.0109073\pi\)
\(570\) −2.40928 + 4.57235i −0.100914 + 0.191515i
\(571\) −37.8497 + 10.1418i −1.58396 + 0.424421i −0.940150 0.340762i \(-0.889315\pi\)
−0.643813 + 0.765183i \(0.722648\pi\)
\(572\) −0.318975 1.69687i −0.0133370 0.0709495i
\(573\) −9.15622 + 27.9987i −0.382506 + 1.16966i
\(574\) 7.80346 9.40702i 0.325710 0.392642i
\(575\) −10.4901 −0.437469
\(576\) −21.6221 + 10.4156i −0.900921 + 0.433984i
\(577\) 13.5220 0.562927 0.281463 0.959572i \(-0.409180\pi\)
0.281463 + 0.959572i \(0.409180\pi\)
\(578\) 24.2204 29.1975i 1.00743 1.21446i
\(579\) 9.18525 1.93414i 0.381726 0.0803803i
\(580\) −4.17165 22.1921i −0.173218 0.921478i
\(581\) 8.92739 2.39209i 0.370371 0.0992405i
\(582\) 11.6722 + 18.5249i 0.483826 + 0.767882i
\(583\) 11.3808 6.57071i 0.471345 0.272131i
\(584\) −6.75668 + 12.1740i −0.279593 + 0.503762i
\(585\) −1.55462 + 0.685092i −0.0642756 + 0.0283251i
\(586\) −0.0682270 + 0.148494i −0.00281843 + 0.00613422i
\(587\) 8.32769 31.0793i 0.343720 1.28278i −0.550380 0.834915i \(-0.685517\pi\)
0.894100 0.447867i \(-0.147816\pi\)
\(588\) −8.40742 20.2600i −0.346716 0.835510i
\(589\) 4.00024 + 14.9291i 0.164827 + 0.615143i
\(590\) −2.21947 + 13.0160i −0.0913743 + 0.535861i
\(591\) −1.06797 + 19.6628i −0.0439303 + 0.808821i
\(592\) 11.0910 + 4.87039i 0.455838 + 0.200172i
\(593\) −24.2071 −0.994066 −0.497033 0.867732i \(-0.665577\pi\)
−0.497033 + 0.867732i \(0.665577\pi\)
\(594\) −13.3444 4.59580i −0.547528 0.188568i
\(595\) −4.81956 + 4.81956i −0.197583 + 0.197583i
\(596\) 7.40220 + 15.4177i 0.303206 + 0.631533i
\(597\) −14.4741 + 12.9828i −0.592386 + 0.531351i
\(598\) 1.12974 + 1.59422i 0.0461984 + 0.0651926i
\(599\) −33.5549 19.3729i −1.37102 0.791557i −0.379961 0.925003i \(-0.624063\pi\)
−0.991056 + 0.133445i \(0.957396\pi\)
\(600\) −11.3724 12.2552i −0.464277 0.500316i
\(601\) −21.4630 + 12.3917i −0.875493 + 0.505466i −0.869170 0.494514i \(-0.835346\pi\)
−0.00632336 + 0.999980i \(0.502013\pi\)
\(602\) 6.73850 + 3.09608i 0.274641 + 0.126187i
\(603\) −16.0337 + 2.47704i −0.652941 + 0.100873i
\(604\) 30.4981 + 35.5248i 1.24095 + 1.44548i
\(605\) 8.89730 + 2.38402i 0.361727 + 0.0969244i
\(606\) −3.72969 + 16.4351i −0.151508 + 0.667630i
\(607\) 5.85399 10.1394i 0.237606 0.411546i −0.722421 0.691454i \(-0.756971\pi\)
0.960027 + 0.279908i \(0.0903039\pi\)
\(608\) 4.24421 + 8.46980i 0.172125 + 0.343496i
\(609\) 10.6252 + 6.92884i 0.430555 + 0.280771i
\(610\) −11.6335 + 14.0241i −0.471027 + 0.567820i
\(611\) 0.0895759 0.0895759i 0.00362385 0.00362385i
\(612\) 39.6015 3.06688i 1.60080 0.123971i
\(613\) −24.6378 24.6378i −0.995112 0.995112i 0.00487577 0.999988i \(-0.498448\pi\)
−0.999988 + 0.00487577i \(0.998448\pi\)
\(614\) 2.30864 + 24.7778i 0.0931690 + 0.999952i
\(615\) 10.4378 + 20.5820i 0.420895 + 0.829948i
\(616\) 1.07630 4.30696i 0.0433655 0.173532i
\(617\) 4.72698 + 2.72912i 0.190301 + 0.109870i 0.592123 0.805847i \(-0.298290\pi\)
−0.401822 + 0.915718i \(0.631623\pi\)
\(618\) −14.4166 7.59645i −0.579920 0.305574i
\(619\) −4.43389 + 16.5475i −0.178213 + 0.665101i 0.817769 + 0.575547i \(0.195211\pi\)
−0.995982 + 0.0895538i \(0.971456\pi\)
\(620\) 23.1871 + 1.76536i 0.931215 + 0.0708985i
\(621\) 15.8938 1.57893i 0.637797 0.0633602i
\(622\) −3.11038 + 1.15199i −0.124715 + 0.0461906i
\(623\) 1.40620 + 2.43561i 0.0563381 + 0.0975805i
\(624\) −0.637710 + 3.04814i −0.0255288 + 0.122023i
\(625\) 1.85520 3.21329i 0.0742078 0.128532i
\(626\) 2.36694 13.8808i 0.0946019 0.554789i
\(627\) −1.73166 + 5.29522i −0.0691557 + 0.211471i
\(628\) −39.0358 + 18.7415i −1.55770 + 0.747867i
\(629\) −14.1757 14.1757i −0.565223 0.565223i
\(630\) −4.36764 0.0682106i −0.174011 0.00271758i
\(631\) 5.04281i 0.200751i −0.994950 0.100376i \(-0.967996\pi\)
0.994950 0.100376i \(-0.0320045\pi\)
\(632\) −0.737023 43.5646i −0.0293172 1.73291i
\(633\) −14.0562 + 21.5548i −0.558682 + 0.856726i
\(634\) 5.29176 3.74998i 0.210163 0.148931i
\(635\) 17.8789 4.79063i 0.709502 0.190111i
\(636\) −23.4975 + 3.10905i −0.931738 + 0.123282i
\(637\) −2.74923 0.736654i −0.108929 0.0291873i
\(638\) −8.45401 22.8259i −0.334698 0.903686i
\(639\) −9.75747 1.06307i −0.385999 0.0420544i
\(640\) 14.1395 1.80166i 0.558911 0.0712169i
\(641\) 10.2406 + 17.7373i 0.404480 + 0.700579i 0.994261 0.106984i \(-0.0341193\pi\)
−0.589781 + 0.807563i \(0.700786\pi\)
\(642\) 10.3284 + 9.55944i 0.407629 + 0.377281i
\(643\) −10.7731 40.2059i −0.424851 1.58557i −0.764248 0.644922i \(-0.776890\pi\)
0.339397 0.940643i \(-0.389777\pi\)
\(644\) 0.928143 + 4.93749i 0.0365740 + 0.194564i
\(645\) −10.4232 + 9.34931i −0.410414 + 0.368129i
\(646\) −1.45457 15.6114i −0.0572292 0.614222i
\(647\) 9.07428i 0.356747i 0.983963 + 0.178373i \(0.0570835\pi\)
−0.983963 + 0.178373i \(0.942917\pi\)
\(648\) 19.0752 + 16.8564i 0.749344 + 0.662181i
\(649\) 14.2332i 0.558704i
\(650\) −2.16001 + 0.201256i −0.0847226 + 0.00789390i
\(651\) −9.72432 + 8.72241i −0.381126 + 0.341858i
\(652\) −3.26576 2.23225i −0.127897 0.0874217i
\(653\) −8.05224 30.0514i −0.315109 1.17600i −0.923888 0.382662i \(-0.875007\pi\)
0.608780 0.793339i \(-0.291659\pi\)
\(654\) 16.9371 18.2995i 0.662294 0.715567i
\(655\) 6.31729 + 10.9419i 0.246837 + 0.427534i
\(656\) 41.8145 + 6.40427i 1.63258 + 0.250045i
\(657\) 14.6810 + 1.59948i 0.572760 + 0.0624018i
\(658\) 0.305443 0.113127i 0.0119074 0.00441013i
\(659\) −12.3336 3.30479i −0.480450 0.128736i 0.0104620 0.999945i \(-0.496670\pi\)
−0.490912 + 0.871209i \(0.663336\pi\)
\(660\) 6.65336 + 5.09843i 0.258982 + 0.198456i
\(661\) 42.7191 11.4466i 1.66158 0.445219i 0.698759 0.715357i \(-0.253736\pi\)
0.962822 + 0.270137i \(0.0870692\pi\)
\(662\) −14.1998 20.0380i −0.551891 0.778799i
\(663\) 2.81522 4.31708i 0.109334 0.167661i
\(664\) 22.9983 + 22.2331i 0.892509 + 0.862812i
\(665\) 1.72428i 0.0668647i
\(666\) 0.200627 12.8465i 0.00777415 0.497792i
\(667\) 19.4782 + 19.4782i 0.754198 + 0.754198i
\(668\) 15.3362 43.6618i 0.593377 1.68933i
\(669\) −8.91533 + 27.2621i −0.344686 + 1.05401i
\(670\) 9.49838 + 1.61965i 0.366954 + 0.0625726i
\(671\) −9.82087 + 17.0102i −0.379131 + 0.656673i
\(672\) −4.76206 + 6.43708i −0.183700 + 0.248316i
\(673\) −16.9683 29.3899i −0.654079 1.13290i −0.982124 0.188236i \(-0.939723\pi\)
0.328045 0.944662i \(-0.393610\pi\)
\(674\) 14.5804 + 39.3673i 0.561617 + 1.51637i
\(675\) −7.30495 + 16.1586i −0.281168 + 0.621944i
\(676\) −16.6728 19.4208i −0.641262 0.746955i
\(677\) 10.7072 39.9599i 0.411512 1.53578i −0.380210 0.924900i \(-0.624148\pi\)
0.791721 0.610882i \(-0.209185\pi\)
\(678\) −14.7470 + 27.9870i −0.566357 + 1.07484i
\(679\) 6.32626 + 3.65247i 0.242780 + 0.140169i
\(680\) −22.8863 5.71925i −0.877649 0.219323i
\(681\) −6.39684 12.6137i −0.245127 0.483359i
\(682\) 24.9589 2.32551i 0.955726 0.0890483i
\(683\) 0.0872426 + 0.0872426i 0.00333824 + 0.00333824i 0.708774 0.705436i \(-0.249249\pi\)
−0.705436 + 0.708774i \(0.749249\pi\)
\(684\) 6.53545 7.63267i 0.249889 0.291843i
\(685\) 2.43830 2.43830i 0.0931625 0.0931625i
\(686\) −11.8591 9.83752i −0.452781 0.375598i
\(687\) 6.51533 + 4.24873i 0.248575 + 0.162099i
\(688\) 2.81304 + 25.5116i 0.107246 + 0.972619i
\(689\) −1.53775 + 2.66347i −0.0585837 + 0.101470i
\(690\) −9.25071 2.09930i −0.352169 0.0799191i
\(691\) −13.5322 3.62594i −0.514789 0.137937i −0.00793395 0.999969i \(-0.502525\pi\)
−0.506855 + 0.862031i \(0.669192\pi\)
\(692\) 0.779175 10.2340i 0.0296198 0.389040i
\(693\) −4.65350 + 0.718918i −0.176772 + 0.0273094i
\(694\) 1.18698 2.58343i 0.0450573 0.0980656i
\(695\) 9.55874 5.51874i 0.362584 0.209338i
\(696\) −1.63913 + 43.8720i −0.0621311 + 1.66296i
\(697\) −60.6306 35.0051i −2.29655 1.32591i
\(698\) 31.8138 22.5447i 1.20417 0.853329i
\(699\) 9.45270 8.47877i 0.357534 0.320696i
\(700\) −5.26268 1.84852i −0.198911 0.0698675i
\(701\) 10.7257 10.7257i 0.405103 0.405103i −0.474924 0.880027i \(-0.657525\pi\)
0.880027 + 0.474924i \(0.157525\pi\)
\(702\) 3.24239 0.630043i 0.122376 0.0237794i
\(703\) −5.07161 −0.191279
\(704\) 14.6984 4.47650i 0.553967 0.168715i
\(705\) −0.0333540 + 0.614096i −0.00125618 + 0.0231282i
\(706\) 4.42364 + 0.754313i 0.166486 + 0.0283889i
\(707\) 1.45524 + 5.43104i 0.0547300 + 0.204255i
\(708\) 9.80867 23.7238i 0.368632 0.891596i
\(709\) −10.7081 + 39.9633i −0.402153 + 1.50085i 0.407095 + 0.913386i \(0.366542\pi\)
−0.809247 + 0.587468i \(0.800125\pi\)
\(710\) 5.29697 + 2.43375i 0.198792 + 0.0913370i
\(711\) −42.2896 + 18.6363i −1.58599 + 0.698914i
\(712\) −4.72362 + 8.51086i −0.177025 + 0.318958i
\(713\) −24.5671 + 14.1839i −0.920047 + 0.531189i
\(714\) 11.2118 7.06431i 0.419590 0.264375i
\(715\) 1.05057 0.281501i 0.0392893 0.0105275i
\(716\) −7.35040 5.02423i −0.274697 0.187764i
\(717\) −11.5355 + 2.42905i −0.430802 + 0.0907144i
\(718\) −24.7077 20.4959i −0.922083 0.764901i
\(719\) −34.2734 −1.27818 −0.639091 0.769131i \(-0.720689\pi\)
−0.639091 + 0.769131i \(0.720689\pi\)
\(720\) −7.57623 13.0831i −0.282349 0.487578i
\(721\) −5.43664 −0.202471
\(722\) 17.6279 + 14.6230i 0.656043 + 0.544211i
\(723\) 3.21604 9.83430i 0.119606 0.365742i
\(724\) −4.51400 + 6.60393i −0.167761 + 0.245433i
\(725\) −29.5413 + 7.91558i −1.09714 + 0.293977i
\(726\) −15.8438 8.34848i −0.588018 0.309841i
\(727\) 28.8380 16.6496i 1.06954 0.617501i 0.141487 0.989940i \(-0.454812\pi\)
0.928057 + 0.372439i \(0.121478\pi\)
\(728\) 0.285840 + 0.998867i 0.0105939 + 0.0370205i
\(729\) 8.63576 25.5817i 0.319843 0.947471i
\(730\) −7.96978 3.66180i −0.294975 0.135529i
\(731\) 10.9940 41.0302i 0.406629 1.51756i
\(732\) 28.0917 21.5846i 1.03830 0.797789i
\(733\) −9.71001 36.2382i −0.358647 1.33849i −0.875832 0.482616i \(-0.839687\pi\)
0.517185 0.855874i \(-0.326980\pi\)
\(734\) −5.41299 0.923016i −0.199797 0.0340691i
\(735\) 12.3236 6.24972i 0.454563 0.230524i
\(736\) −12.9997 + 11.5479i −0.479176 + 0.425663i
\(737\) 10.3866 0.382597
\(738\) −10.9346 43.5154i −0.402507 1.60182i
\(739\) −8.57380 + 8.57380i −0.315392 + 0.315392i −0.846994 0.531602i \(-0.821590\pi\)
0.531602 + 0.846994i \(0.321590\pi\)
\(740\) −2.52878 + 7.19936i −0.0929597 + 0.264654i
\(741\) −0.268657 1.27585i −0.00986936 0.0468696i
\(742\) −6.45198 + 4.57216i −0.236860 + 0.167849i
\(743\) −10.3476 5.97418i −0.379616 0.219172i 0.298035 0.954555i \(-0.403669\pi\)
−0.677651 + 0.735383i \(0.737002\pi\)
\(744\) −43.2038 13.3240i −1.58393 0.488481i
\(745\) −9.33012 + 5.38674i −0.341829 + 0.197355i
\(746\) 2.66619 5.80286i 0.0976160 0.212458i
\(747\) 12.2792 31.6285i 0.449272 1.15723i
\(748\) −25.3557 1.93047i −0.927097 0.0705850i
\(749\) 4.53526 + 1.21522i 0.165715 + 0.0444032i
\(750\) 17.6349 19.0534i 0.643937 0.695733i
\(751\) 12.2293 21.1818i 0.446254 0.772934i −0.551885 0.833920i \(-0.686091\pi\)
0.998139 + 0.0609863i \(0.0194246\pi\)
\(752\) 0.879706 + 0.704971i 0.0320796 + 0.0257077i
\(753\) −2.14429 + 39.4795i −0.0781421 + 1.43871i
\(754\) 4.38442 + 3.63704i 0.159671 + 0.132453i
\(755\) −20.8552 + 20.8552i −0.758999 + 0.758999i
\(756\) 8.25183 + 2.00861i 0.300116 + 0.0730526i
\(757\) 5.77221 + 5.77221i 0.209794 + 0.209794i 0.804180 0.594386i \(-0.202605\pi\)
−0.594386 + 0.804180i \(0.702605\pi\)
\(758\) 29.0957 2.71095i 1.05680 0.0984660i
\(759\) −10.2104 0.554566i −0.370613 0.0201295i
\(760\) −5.11706 + 3.07090i −0.185615 + 0.111393i
\(761\) 35.8368 + 20.6904i 1.29908 + 0.750025i 0.980246 0.197784i \(-0.0633746\pi\)
0.318836 + 0.947810i \(0.396708\pi\)
\(762\) −35.9603 + 1.39036i −1.30270 + 0.0503675i
\(763\) 2.15309 8.03544i 0.0779471 0.290902i
\(764\) −25.8088 + 22.1569i −0.933729 + 0.801608i
\(765\) 3.82018 + 24.7277i 0.138119 + 0.894032i
\(766\) −14.1620 38.2374i −0.511692 1.38157i
\(767\) −1.66551 2.88475i −0.0601382 0.104162i
\(768\) −27.5841 2.66785i −0.995355 0.0962676i
\(769\) 19.7893 34.2761i 0.713622 1.23603i −0.249867 0.968280i \(-0.580387\pi\)
0.963489 0.267749i \(-0.0862798\pi\)
\(770\) 2.75674 + 0.470076i 0.0993461 + 0.0169404i
\(771\) 0.584809 0.123144i 0.0210614 0.00443491i
\(772\) 10.2263 + 3.59199i 0.368053 + 0.129279i