Properties

Label 483.2.y.a.4.9
Level $483$
Weight $2$
Character 483.4
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.y (of order \(33\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(16\) over \(\Q(\zeta_{33})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{33}]$

Embedding invariants

Embedding label 4.9
Character \(\chi\) \(=\) 483.4
Dual form 483.2.y.a.121.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.282147 - 0.396220i) q^{2} +(-0.235759 + 0.971812i) q^{3} +(0.576752 + 1.66642i) q^{4} +(-0.0698936 + 1.46725i) q^{5} +(0.318533 + 0.367606i) q^{6} +(-2.64518 + 0.0550715i) q^{7} +(1.75642 + 0.515730i) q^{8} +(-0.888835 - 0.458227i) q^{9} +O(q^{10})\) \(q+(0.282147 - 0.396220i) q^{2} +(-0.235759 + 0.971812i) q^{3} +(0.576752 + 1.66642i) q^{4} +(-0.0698936 + 1.46725i) q^{5} +(0.318533 + 0.367606i) q^{6} +(-2.64518 + 0.0550715i) q^{7} +(1.75642 + 0.515730i) q^{8} +(-0.888835 - 0.458227i) q^{9} +(0.561633 + 0.441673i) q^{10} +(1.12389 + 1.57828i) q^{11} +(-1.75542 + 0.167622i) q^{12} +(0.165604 - 1.15180i) q^{13} +(-0.724509 + 1.06361i) q^{14} +(-1.40941 - 0.413840i) q^{15} +(-2.07235 + 1.62971i) q^{16} +(-3.37403 + 0.650290i) q^{17} +(-0.432341 + 0.222887i) q^{18} +(2.74673 + 0.529389i) q^{19} +(-2.48536 + 0.729767i) q^{20} +(0.570105 - 2.58360i) q^{21} +0.942447 q^{22} +(-3.97880 + 2.67752i) q^{23} +(-0.915284 + 1.58532i) q^{24} +(2.82943 + 0.270178i) q^{25} +(-0.409643 - 0.390594i) q^{26} +(0.654861 - 0.755750i) q^{27} +(-1.61739 - 4.37621i) q^{28} +(-5.33839 - 6.16083i) q^{29} +(-0.561633 + 0.441673i) q^{30} +(-7.25316 + 6.91588i) q^{31} +(0.235222 + 4.93791i) q^{32} +(-1.79876 + 0.720113i) q^{33} +(-0.694314 + 1.52033i) q^{34} +(0.104078 - 3.88498i) q^{35} +(0.250958 - 1.74545i) q^{36} +(10.3186 + 5.31963i) q^{37} +(0.984737 - 0.938945i) q^{38} +(1.08029 + 0.432484i) q^{39} +(-0.879467 + 2.54105i) q^{40} +(-1.53403 - 0.985859i) q^{41} +(-0.862820 - 0.954842i) q^{42} +(8.54847 - 2.51006i) q^{43} +(-1.98186 + 2.78314i) q^{44} +(0.734456 - 1.27212i) q^{45} +(-0.0617194 + 2.33194i) q^{46} +(-4.47886 - 7.75762i) q^{47} +(-1.09520 - 2.39815i) q^{48} +(6.99393 - 0.291348i) q^{49} +(0.905365 - 1.04485i) q^{50} +(0.163497 - 3.43223i) q^{51} +(2.01490 - 0.388339i) q^{52} +(5.06893 + 2.02929i) q^{53} +(-0.114676 - 0.472702i) q^{54} +(-2.39428 + 1.53871i) q^{55} +(-4.67444 - 1.26747i) q^{56} +(-1.16203 + 2.54450i) q^{57} +(-3.94726 + 0.376918i) q^{58} +(7.74968 + 6.09441i) q^{59} +(-0.123251 - 2.58735i) q^{60} +(2.85003 + 11.7480i) q^{61} +(0.693751 + 4.82515i) q^{62} +(2.37636 + 1.16314i) q^{63} +(-2.41288 - 1.55067i) q^{64} +(1.67841 + 0.323486i) q^{65} +(-0.222190 + 0.915881i) q^{66} +(9.16548 + 0.875197i) q^{67} +(-3.02963 - 5.24748i) q^{68} +(-1.66401 - 4.49790i) q^{69} +(-1.50994 - 1.13737i) q^{70} +(6.48687 + 14.2043i) q^{71} +(-1.32484 - 1.26324i) q^{72} +(-4.83088 - 13.9579i) q^{73} +(5.01912 - 2.58754i) q^{74} +(-0.929624 + 2.68597i) q^{75} +(0.702001 + 4.88253i) q^{76} +(-3.05980 - 4.11293i) q^{77} +(0.476160 - 0.306010i) q^{78} +(0.203424 - 0.0814388i) q^{79} +(-2.24635 - 3.15455i) q^{80} +(0.580057 + 0.814576i) q^{81} +(-0.823439 + 0.329655i) q^{82} +(9.18470 - 5.90265i) q^{83} +(4.63416 - 0.540064i) q^{84} +(-0.718314 - 4.99598i) q^{85} +(1.41739 - 4.09528i) q^{86} +(7.24574 - 3.73544i) q^{87} +(1.16005 + 3.35174i) q^{88} +(-1.57918 - 1.50575i) q^{89} +(-0.296813 - 0.649930i) q^{90} +(-0.374621 + 3.05584i) q^{91} +(-6.75665 - 5.08608i) q^{92} +(-5.01093 - 8.67919i) q^{93} +(-4.33742 - 0.414174i) q^{94} +(-0.968724 + 3.99314i) q^{95} +(-4.85418 - 0.935566i) q^{96} +(0.746189 + 0.479546i) q^{97} +(1.85788 - 2.85334i) q^{98} +(-0.275742 - 1.91782i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + O(q^{10}) \) \( 320q + 2q^{2} - 16q^{3} + 18q^{4} - 2q^{5} - 18q^{6} + 2q^{7} - 12q^{8} + 16q^{9} + 8q^{10} - 6q^{11} - 18q^{12} - 10q^{14} + 18q^{15} + 8q^{16} + 4q^{17} + 2q^{18} + 18q^{20} + 4q^{21} - 176q^{22} - 18q^{23} - 6q^{24} + 8q^{25} - 14q^{26} + 32q^{27} + 46q^{28} + 34q^{29} - 8q^{30} + 52q^{31} - 8q^{32} - 5q^{33} - 24q^{34} - 12q^{35} - 14q^{36} - 30q^{37} - 157q^{38} + 88q^{40} - 28q^{41} - 45q^{42} + 64q^{43} - 71q^{44} - 2q^{45} + 4q^{46} + 36q^{47} + 60q^{48} + 28q^{49} + 210q^{50} - 26q^{51} - 198q^{52} - 10q^{53} - 2q^{54} - 4q^{55} + 44q^{57} + 31q^{58} + 10q^{59} - 2q^{60} - 34q^{61} - 8q^{62} + 2q^{63} + 84q^{64} + 38q^{65} - 12q^{67} - 22q^{68} + 8q^{69} - 336q^{70} - 144q^{71} + 6q^{72} - 16q^{73} - 68q^{74} - 30q^{75} + 8q^{76} + 98q^{77} + 16q^{78} + 26q^{79} + 225q^{80} + 16q^{81} - 122q^{82} + 44q^{84} - 240q^{85} - 26q^{86} - 16q^{87} + 43q^{88} + 68q^{89} - 16q^{90} + 40q^{91} - 222q^{92} - 8q^{93} + 137q^{94} - 49q^{95} + 30q^{96} - 8q^{97} + 137q^{98} - 10q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.282147 0.396220i 0.199508 0.280170i −0.702686 0.711500i \(-0.748016\pi\)
0.902194 + 0.431330i \(0.141956\pi\)
\(3\) −0.235759 + 0.971812i −0.136115 + 0.561076i
\(4\) 0.576752 + 1.66642i 0.288376 + 0.833208i
\(5\) −0.0698936 + 1.46725i −0.0312574 + 0.656173i 0.927820 + 0.373029i \(0.121681\pi\)
−0.959077 + 0.283145i \(0.908622\pi\)
\(6\) 0.318533 + 0.367606i 0.130040 + 0.150075i
\(7\) −2.64518 + 0.0550715i −0.999783 + 0.0208151i
\(8\) 1.75642 + 0.515730i 0.620987 + 0.182338i
\(9\) −0.888835 0.458227i −0.296278 0.152742i
\(10\) 0.561633 + 0.441673i 0.177604 + 0.139669i
\(11\) 1.12389 + 1.57828i 0.338865 + 0.475869i 0.948484 0.316826i \(-0.102617\pi\)
−0.609619 + 0.792694i \(0.708678\pi\)
\(12\) −1.75542 + 0.167622i −0.506745 + 0.0483883i
\(13\) 0.165604 1.15180i 0.0459303 0.319453i −0.953884 0.300176i \(-0.902955\pi\)
0.999814 0.0192766i \(-0.00613631\pi\)
\(14\) −0.724509 + 1.06361i −0.193633 + 0.284262i
\(15\) −1.40941 0.413840i −0.363908 0.106853i
\(16\) −2.07235 + 1.62971i −0.518086 + 0.407428i
\(17\) −3.37403 + 0.650290i −0.818321 + 0.157719i −0.581199 0.813761i \(-0.697416\pi\)
−0.237122 + 0.971480i \(0.576204\pi\)
\(18\) −0.432341 + 0.222887i −0.101904 + 0.0525350i
\(19\) 2.74673 + 0.529389i 0.630143 + 0.121450i 0.494316 0.869282i \(-0.335419\pi\)
0.135827 + 0.990733i \(0.456631\pi\)
\(20\) −2.48536 + 0.729767i −0.555743 + 0.163181i
\(21\) 0.570105 2.58360i 0.124407 0.563787i
\(22\) 0.942447 0.200930
\(23\) −3.97880 + 2.67752i −0.829638 + 0.558302i
\(24\) −0.915284 + 1.58532i −0.186832 + 0.323602i
\(25\) 2.82943 + 0.270178i 0.565885 + 0.0540355i
\(26\) −0.409643 0.390594i −0.0803376 0.0766017i
\(27\) 0.654861 0.755750i 0.126028 0.145444i
\(28\) −1.61739 4.37621i −0.305657 0.827025i
\(29\) −5.33839 6.16083i −0.991315 1.14404i −0.989572 0.144040i \(-0.953991\pi\)
−0.00174286 0.999998i \(-0.500555\pi\)
\(30\) −0.561633 + 0.441673i −0.102540 + 0.0806381i
\(31\) −7.25316 + 6.91588i −1.30271 + 1.24213i −0.350541 + 0.936547i \(0.614002\pi\)
−0.952166 + 0.305581i \(0.901149\pi\)
\(32\) 0.235222 + 4.93791i 0.0415817 + 0.872908i
\(33\) −1.79876 + 0.720113i −0.313123 + 0.125356i
\(34\) −0.694314 + 1.52033i −0.119074 + 0.260735i
\(35\) 0.104078 3.88498i 0.0175923 0.656682i
\(36\) 0.250958 1.74545i 0.0418264 0.290909i
\(37\) 10.3186 + 5.31963i 1.69637 + 0.874541i 0.985175 + 0.171550i \(0.0548774\pi\)
0.711198 + 0.702992i \(0.248153\pi\)
\(38\) 0.984737 0.938945i 0.159745 0.152317i
\(39\) 1.08029 + 0.432484i 0.172985 + 0.0692528i
\(40\) −0.879467 + 2.54105i −0.139056 + 0.401776i
\(41\) −1.53403 0.985859i −0.239575 0.153965i 0.415345 0.909664i \(-0.363661\pi\)
−0.654919 + 0.755699i \(0.727297\pi\)
\(42\) −0.862820 0.954842i −0.133136 0.147335i
\(43\) 8.54847 2.51006i 1.30363 0.382780i 0.445070 0.895496i \(-0.353179\pi\)
0.858558 + 0.512716i \(0.171360\pi\)
\(44\) −1.98186 + 2.78314i −0.298777 + 0.419574i
\(45\) 0.734456 1.27212i 0.109486 0.189636i
\(46\) −0.0617194 + 2.33194i −0.00910003 + 0.343825i
\(47\) −4.47886 7.75762i −0.653309 1.13156i −0.982315 0.187237i \(-0.940047\pi\)
0.329006 0.944328i \(-0.393286\pi\)
\(48\) −1.09520 2.39815i −0.158078 0.346143i
\(49\) 6.99393 0.291348i 0.999133 0.0416212i
\(50\) 0.905365 1.04485i 0.128038 0.147764i
\(51\) 0.163497 3.43223i 0.0228942 0.480608i
\(52\) 2.01490 0.388339i 0.279416 0.0538530i
\(53\) 5.06893 + 2.02929i 0.696271 + 0.278745i 0.692676 0.721249i \(-0.256432\pi\)
0.00359478 + 0.999994i \(0.498856\pi\)
\(54\) −0.114676 0.472702i −0.0156055 0.0643266i
\(55\) −2.39428 + 1.53871i −0.322844 + 0.207480i
\(56\) −4.67444 1.26747i −0.624648 0.169373i
\(57\) −1.16203 + 2.54450i −0.153915 + 0.337027i
\(58\) −3.94726 + 0.376918i −0.518301 + 0.0494917i
\(59\) 7.74968 + 6.09441i 1.00892 + 0.793425i 0.978528 0.206113i \(-0.0660814\pi\)
0.0303938 + 0.999538i \(0.490324\pi\)
\(60\) −0.123251 2.58735i −0.0159116 0.334025i
\(61\) 2.85003 + 11.7480i 0.364909 + 1.50418i 0.797907 + 0.602781i \(0.205941\pi\)
−0.432997 + 0.901395i \(0.642544\pi\)
\(62\) 0.693751 + 4.82515i 0.0881065 + 0.612794i
\(63\) 2.37636 + 1.16314i 0.299394 + 0.146542i
\(64\) −2.41288 1.55067i −0.301610 0.193833i
\(65\) 1.67841 + 0.323486i 0.208181 + 0.0401235i
\(66\) −0.222190 + 0.915881i −0.0273497 + 0.112737i
\(67\) 9.16548 + 0.875197i 1.11974 + 0.106922i 0.638468 0.769648i \(-0.279568\pi\)
0.481273 + 0.876571i \(0.340174\pi\)
\(68\) −3.02963 5.24748i −0.367397 0.636350i
\(69\) −1.66401 4.49790i −0.200323 0.541483i
\(70\) −1.50994 1.13737i −0.180473 0.135942i
\(71\) 6.48687 + 14.2043i 0.769849 + 1.68574i 0.726984 + 0.686654i \(0.240921\pi\)
0.0428654 + 0.999081i \(0.486351\pi\)
\(72\) −1.32484 1.26324i −0.156134 0.148874i
\(73\) −4.83088 13.9579i −0.565411 1.63365i −0.757916 0.652352i \(-0.773782\pi\)
0.192505 0.981296i \(-0.438339\pi\)
\(74\) 5.01912 2.58754i 0.583461 0.300795i
\(75\) −0.929624 + 2.68597i −0.107344 + 0.310150i
\(76\) 0.702001 + 4.88253i 0.0805251 + 0.560064i
\(77\) −3.05980 4.11293i −0.348696 0.468712i
\(78\) 0.476160 0.306010i 0.0539145 0.0346488i
\(79\) 0.203424 0.0814388i 0.0228870 0.00916258i −0.360191 0.932879i \(-0.617288\pi\)
0.383078 + 0.923716i \(0.374864\pi\)
\(80\) −2.24635 3.15455i −0.251149 0.352690i
\(81\) 0.580057 + 0.814576i 0.0644508 + 0.0905084i
\(82\) −0.823439 + 0.329655i −0.0909336 + 0.0364043i
\(83\) 9.18470 5.90265i 1.00815 0.647900i 0.0712377 0.997459i \(-0.477305\pi\)
0.936914 + 0.349560i \(0.113669\pi\)
\(84\) 4.63416 0.540064i 0.505628 0.0589258i
\(85\) −0.718314 4.99598i −0.0779121 0.541891i
\(86\) 1.41739 4.09528i 0.152841 0.441605i
\(87\) 7.24574 3.73544i 0.776825 0.400481i
\(88\) 1.16005 + 3.35174i 0.123661 + 0.357296i
\(89\) −1.57918 1.50575i −0.167393 0.159609i 0.601752 0.798683i \(-0.294469\pi\)
−0.769146 + 0.639074i \(0.779318\pi\)
\(90\) −0.296813 0.649930i −0.0312868 0.0685086i
\(91\) −0.374621 + 3.05584i −0.0392710 + 0.320339i
\(92\) −6.75665 5.08608i −0.704430 0.530260i
\(93\) −5.01093 8.67919i −0.519610 0.899990i
\(94\) −4.33742 0.414174i −0.447371 0.0427188i
\(95\) −0.968724 + 3.99314i −0.0993890 + 0.409687i
\(96\) −4.85418 0.935566i −0.495427 0.0954858i
\(97\) 0.746189 + 0.479546i 0.0757640 + 0.0486906i 0.577974 0.816055i \(-0.303843\pi\)
−0.502210 + 0.864745i \(0.667480\pi\)
\(98\) 1.85788 2.85334i 0.187674 0.288231i
\(99\) −0.275742 1.91782i −0.0277131 0.192749i
\(100\) 1.18165 + 4.87083i 0.118165 + 0.487083i
\(101\) −0.287092 6.02679i −0.0285667 0.599688i −0.967084 0.254457i \(-0.918103\pi\)
0.938518 0.345232i \(-0.112200\pi\)
\(102\) −1.31379 1.03317i −0.130084 0.102300i
\(103\) 3.68579 0.351950i 0.363172 0.0346787i 0.0881246 0.996109i \(-0.471913\pi\)
0.275047 + 0.961431i \(0.411307\pi\)
\(104\) 0.884890 1.93764i 0.0867706 0.190001i
\(105\) 3.75093 + 1.01706i 0.366054 + 0.0992552i
\(106\) 2.23423 1.43585i 0.217008 0.139462i
\(107\) −0.346351 1.42768i −0.0334830 0.138019i 0.952617 0.304173i \(-0.0983802\pi\)
−0.986100 + 0.166154i \(0.946865\pi\)
\(108\) 1.63709 + 0.655390i 0.157529 + 0.0630650i
\(109\) 4.39759 0.847566i 0.421213 0.0811821i 0.0257593 0.999668i \(-0.491800\pi\)
0.395453 + 0.918486i \(0.370588\pi\)
\(110\) −0.0658711 + 1.38280i −0.00628056 + 0.131845i
\(111\) −7.60239 + 8.77362i −0.721587 + 0.832755i
\(112\) 5.39197 4.42500i 0.509493 0.418123i
\(113\) −7.10957 15.5678i −0.668812 1.46449i −0.874077 0.485787i \(-0.838533\pi\)
0.205265 0.978706i \(-0.434194\pi\)
\(114\) 0.680317 + 1.17834i 0.0637175 + 0.110362i
\(115\) −3.65050 6.02503i −0.340411 0.561837i
\(116\) 7.18759 12.4493i 0.667351 1.15589i
\(117\) −0.674981 + 0.947879i −0.0624021 + 0.0876314i
\(118\) 4.60128 1.35106i 0.423582 0.124375i
\(119\) 8.88909 1.90595i 0.814861 0.174718i
\(120\) −2.26208 1.45375i −0.206499 0.132709i
\(121\) 2.36991 6.84740i 0.215446 0.622491i
\(122\) 5.45892 + 2.18542i 0.494228 + 0.197859i
\(123\) 1.31973 1.25836i 0.118996 0.113463i
\(124\) −15.7080 8.09805i −1.41062 0.727226i
\(125\) −1.63942 + 11.4024i −0.146634 + 1.01986i
\(126\) 1.13134 0.613386i 0.100788 0.0546448i
\(127\) −0.246256 + 0.539225i −0.0218517 + 0.0478485i −0.920243 0.391347i \(-0.872009\pi\)
0.898391 + 0.439196i \(0.144736\pi\)
\(128\) −10.4740 + 4.19315i −0.925778 + 0.370626i
\(129\) 0.423924 + 8.89927i 0.0373245 + 0.783537i
\(130\) 0.601729 0.573748i 0.0527751 0.0503210i
\(131\) −16.0152 + 12.5945i −1.39926 + 1.10039i −0.417838 + 0.908522i \(0.637212\pi\)
−0.981421 + 0.191868i \(0.938546\pi\)
\(132\) −2.23745 2.58215i −0.194745 0.224747i
\(133\) −7.29475 1.24906i −0.632535 0.108307i
\(134\) 2.93279 3.38461i 0.253354 0.292386i
\(135\) 1.06310 + 1.01367i 0.0914972 + 0.0872424i
\(136\) −6.26157 0.597907i −0.536925 0.0512701i
\(137\) 0.245495 0.425210i 0.0209741 0.0363281i −0.855348 0.518054i \(-0.826657\pi\)
0.876322 + 0.481726i \(0.159990\pi\)
\(138\) −2.25165 0.609755i −0.191673 0.0519058i
\(139\) 0.217212 0.0184237 0.00921185 0.999958i \(-0.497068\pi\)
0.00921185 + 0.999958i \(0.497068\pi\)
\(140\) 6.53403 2.06724i 0.552226 0.174713i
\(141\) 8.59487 2.52368i 0.723819 0.212532i
\(142\) 7.45827 + 1.43746i 0.625884 + 0.120629i
\(143\) 2.00399 1.03313i 0.167582 0.0863944i
\(144\) 2.58875 0.498941i 0.215729 0.0415784i
\(145\) 9.41259 7.40214i 0.781673 0.614715i
\(146\) −6.89342 2.02409i −0.570503 0.167515i
\(147\) −1.36575 + 6.86547i −0.112645 + 0.566255i
\(148\) −2.91342 + 20.2633i −0.239481 + 1.66563i
\(149\) 10.6334 1.01537i 0.871122 0.0831821i 0.350087 0.936717i \(-0.386152\pi\)
0.521035 + 0.853535i \(0.325546\pi\)
\(150\) 0.801946 + 1.12618i 0.0654786 + 0.0919519i
\(151\) 2.91798 + 2.29473i 0.237462 + 0.186742i 0.729798 0.683663i \(-0.239614\pi\)
−0.492336 + 0.870405i \(0.663857\pi\)
\(152\) 4.55138 + 2.34640i 0.369166 + 0.190318i
\(153\) 3.29693 + 0.968067i 0.266541 + 0.0782636i
\(154\) −2.49294 + 0.0519020i −0.200887 + 0.00418238i
\(155\) −9.64036 11.1256i −0.774332 0.893627i
\(156\) −0.0976370 + 2.04965i −0.00781722 + 0.164104i
\(157\) −0.387441 1.11944i −0.0309211 0.0893407i 0.928484 0.371373i \(-0.121113\pi\)
−0.959405 + 0.282032i \(0.908992\pi\)
\(158\) 0.0251279 0.103579i 0.00199907 0.00824027i
\(159\) −3.16714 + 4.44762i −0.251170 + 0.352719i
\(160\) −7.26158 −0.574078
\(161\) 10.3772 7.30164i 0.817837 0.575450i
\(162\) 0.486413 0.0382162
\(163\) −1.31493 + 1.84656i −0.102993 + 0.144634i −0.862856 0.505450i \(-0.831327\pi\)
0.759863 + 0.650083i \(0.225266\pi\)
\(164\) 0.758099 3.12493i 0.0591976 0.244016i
\(165\) −0.930863 2.68955i −0.0724676 0.209381i
\(166\) 0.252688 5.30458i 0.0196124 0.411715i
\(167\) 5.81310 + 6.70868i 0.449831 + 0.519133i 0.934692 0.355458i \(-0.115675\pi\)
−0.484861 + 0.874591i \(0.661130\pi\)
\(168\) 2.33378 4.24385i 0.180055 0.327420i
\(169\) 11.1742 + 3.28104i 0.859553 + 0.252387i
\(170\) −2.18218 1.12499i −0.167366 0.0862830i
\(171\) −2.19881 1.72916i −0.168147 0.132233i
\(172\) 9.11315 + 12.7976i 0.694871 + 0.975810i
\(173\) −16.5239 + 1.57784i −1.25629 + 0.119961i −0.701888 0.712288i \(-0.747659\pi\)
−0.554402 + 0.832249i \(0.687053\pi\)
\(174\) 0.564309 3.92485i 0.0427801 0.297542i
\(175\) −7.49922 0.558847i −0.566888 0.0422448i
\(176\) −4.90122 1.43913i −0.369443 0.108478i
\(177\) −7.74968 + 6.09441i −0.582501 + 0.458084i
\(178\) −1.04217 + 0.200862i −0.0781140 + 0.0150552i
\(179\) −10.1421 + 5.22864i −0.758060 + 0.390807i −0.793504 0.608565i \(-0.791746\pi\)
0.0354445 + 0.999372i \(0.488715\pi\)
\(180\) 2.54347 + 0.490214i 0.189579 + 0.0365384i
\(181\) 4.50331 1.32229i 0.334728 0.0982852i −0.110049 0.993926i \(-0.535101\pi\)
0.444778 + 0.895641i \(0.353283\pi\)
\(182\) 1.10509 + 1.01063i 0.0819146 + 0.0749129i
\(183\) −12.0888 −0.893627
\(184\) −8.36932 + 2.65085i −0.616994 + 0.195424i
\(185\) −8.52642 + 14.7682i −0.626875 + 1.08578i
\(186\) −4.85269 0.463376i −0.355817 0.0339764i
\(187\) −4.81836 4.59430i −0.352354 0.335968i
\(188\) 10.3442 11.9379i 0.754430 0.870659i
\(189\) −1.69060 + 2.03516i −0.122973 + 0.148036i
\(190\) 1.30884 + 1.51048i 0.0949531 + 0.109582i
\(191\) −1.17556 + 0.924467i −0.0850602 + 0.0668921i −0.659784 0.751456i \(-0.729352\pi\)
0.574723 + 0.818348i \(0.305110\pi\)
\(192\) 2.07581 1.97928i 0.149809 0.142843i
\(193\) 0.580380 + 12.1837i 0.0417767 + 0.877001i 0.918359 + 0.395748i \(0.129515\pi\)
−0.876582 + 0.481252i \(0.840182\pi\)
\(194\) 0.400541 0.160352i 0.0287572 0.0115126i
\(195\) −0.710067 + 1.55483i −0.0508489 + 0.111344i
\(196\) 4.51928 + 11.4868i 0.322805 + 0.820484i
\(197\) 2.93345 20.4026i 0.209000 1.45362i −0.567431 0.823421i \(-0.692063\pi\)
0.776430 0.630203i \(-0.217028\pi\)
\(198\) −0.837681 0.431854i −0.0595314 0.0306906i
\(199\) 8.29681 7.91099i 0.588145 0.560795i −0.336472 0.941694i \(-0.609234\pi\)
0.924617 + 0.380898i \(0.124385\pi\)
\(200\) 4.83031 + 1.93377i 0.341555 + 0.136738i
\(201\) −3.01137 + 8.70078i −0.212406 + 0.613706i
\(202\) −2.46894 1.58669i −0.173714 0.111639i
\(203\) 14.4603 + 16.0025i 1.01491 + 1.12316i
\(204\) 5.81382 1.70709i 0.407049 0.119520i
\(205\) 1.55372 2.18189i 0.108516 0.152390i
\(206\) 0.900485 1.55969i 0.0627398 0.108668i
\(207\) 4.76341 0.556684i 0.331080 0.0386922i
\(208\) 1.53392 + 2.65682i 0.106358 + 0.184217i
\(209\) 2.25149 + 4.93008i 0.155739 + 0.341021i
\(210\) 1.46130 1.19923i 0.100839 0.0827550i
\(211\) 2.67835 3.09098i 0.184385 0.212792i −0.656030 0.754735i \(-0.727766\pi\)
0.840415 + 0.541943i \(0.182311\pi\)
\(212\) −0.458131 + 9.61735i −0.0314646 + 0.660522i
\(213\) −15.3332 + 2.95523i −1.05061 + 0.202489i
\(214\) −0.663397 0.265584i −0.0453489 0.0181549i
\(215\) 3.08539 + 12.7182i 0.210422 + 0.867371i
\(216\) 1.53997 0.989680i 0.104782 0.0673392i
\(217\) 18.8050 18.6932i 1.27657 1.26898i
\(218\) 0.904944 1.98155i 0.0612906 0.134208i
\(219\) 14.7034 1.40400i 0.993562 0.0948736i
\(220\) −3.94504 3.10241i −0.265974 0.209165i
\(221\) 0.190253 + 3.99390i 0.0127978 + 0.268659i
\(222\) 1.33129 + 5.48767i 0.0893507 + 0.368308i
\(223\) 4.01014 + 27.8911i 0.268539 + 1.86773i 0.462362 + 0.886691i \(0.347002\pi\)
−0.193824 + 0.981036i \(0.562089\pi\)
\(224\) −0.894142 13.0487i −0.0597424 0.871853i
\(225\) −2.39109 1.53666i −0.159406 0.102444i
\(226\) −8.17421 1.57545i −0.543741 0.104797i
\(227\) 3.41305 14.0688i 0.226532 0.933779i −0.739044 0.673658i \(-0.764722\pi\)
0.965576 0.260121i \(-0.0837626\pi\)
\(228\) −4.91040 0.468886i −0.325199 0.0310527i
\(229\) −0.180975 0.313458i −0.0119592 0.0207139i 0.859984 0.510321i \(-0.170473\pi\)
−0.871943 + 0.489607i \(0.837140\pi\)
\(230\) −3.41722 0.253545i −0.225325 0.0167183i
\(231\) 4.71837 2.00389i 0.310446 0.131846i
\(232\) −6.19911 13.5742i −0.406992 0.891188i
\(233\) −4.05302 3.86455i −0.265522 0.253175i 0.545608 0.838041i \(-0.316299\pi\)
−0.811130 + 0.584866i \(0.801147\pi\)
\(234\) 0.185125 + 0.534883i 0.0121020 + 0.0349664i
\(235\) 11.6954 6.02939i 0.762923 0.393314i
\(236\) −5.68619 + 16.4292i −0.370139 + 1.06945i
\(237\) 0.0311841 + 0.216890i 0.00202562 + 0.0140885i
\(238\) 1.75286 4.05979i 0.113621 0.263157i
\(239\) −17.3857 + 11.1731i −1.12459 + 0.722728i −0.964423 0.264363i \(-0.914838\pi\)
−0.160163 + 0.987091i \(0.551202\pi\)
\(240\) 3.59523 1.43931i 0.232071 0.0929071i
\(241\) −13.5681 19.0538i −0.874000 1.22736i −0.972659 0.232239i \(-0.925395\pi\)
0.0986591 0.995121i \(-0.468545\pi\)
\(242\) −2.04441 2.87098i −0.131420 0.184554i
\(243\) −0.928368 + 0.371662i −0.0595548 + 0.0238422i
\(244\) −17.9333 + 11.5250i −1.14806 + 0.737814i
\(245\) −0.0613516 + 10.2822i −0.00391961 + 0.656906i
\(246\) −0.126230 0.877947i −0.00804811 0.0559758i
\(247\) 1.06462 3.07602i 0.0677403 0.195723i
\(248\) −16.3063 + 8.40649i −1.03545 + 0.533812i
\(249\) 3.57089 + 10.3174i 0.226296 + 0.653839i
\(250\) 4.05530 + 3.86672i 0.256480 + 0.244553i
\(251\) 5.10790 + 11.1847i 0.322408 + 0.705974i 0.999554 0.0298745i \(-0.00951076\pi\)
−0.677146 + 0.735849i \(0.736783\pi\)
\(252\) −0.567705 + 4.63086i −0.0357620 + 0.291717i
\(253\) −8.69760 3.27043i −0.546813 0.205610i
\(254\) 0.144171 + 0.249712i 0.00904612 + 0.0156683i
\(255\) 5.02450 + 0.479782i 0.314647 + 0.0300451i
\(256\) 0.0586131 0.241606i 0.00366332 0.0151004i
\(257\) 9.51752 + 1.83435i 0.593687 + 0.114424i 0.477240 0.878773i \(-0.341637\pi\)
0.116447 + 0.993197i \(0.462849\pi\)
\(258\) 3.64568 + 2.34294i 0.226970 + 0.145865i
\(259\) −27.5876 13.5031i −1.71421 0.839042i
\(260\) 0.428962 + 2.98349i 0.0266031 + 0.185028i
\(261\) 1.92190 + 7.92216i 0.118962 + 0.490369i
\(262\) 0.471551 + 9.89908i 0.0291325 + 0.611567i
\(263\) 5.86607 + 4.61313i 0.361717 + 0.284457i 0.782433 0.622735i \(-0.213979\pi\)
−0.420716 + 0.907193i \(0.638221\pi\)
\(264\) −3.53075 + 0.337146i −0.217303 + 0.0207499i
\(265\) −3.33176 + 7.29554i −0.204669 + 0.448162i
\(266\) −2.55310 + 2.53791i −0.156540 + 0.155609i
\(267\) 1.83561 1.17968i 0.112338 0.0721950i
\(268\) 3.82777 + 15.7783i 0.233818 + 0.963812i
\(269\) 10.3674 + 4.15049i 0.632112 + 0.253060i 0.665517 0.746382i \(-0.268211\pi\)
−0.0334051 + 0.999442i \(0.510635\pi\)
\(270\) 0.701586 0.135220i 0.0426972 0.00822920i
\(271\) 0.330966 6.94784i 0.0201048 0.422051i −0.966269 0.257534i \(-0.917090\pi\)
0.986374 0.164518i \(-0.0526067\pi\)
\(272\) 5.93236 6.84631i 0.359702 0.415118i
\(273\) −2.88138 1.08450i −0.174389 0.0656371i
\(274\) −0.0992111 0.217242i −0.00599356 0.0131241i
\(275\) 2.75354 + 4.76927i 0.166045 + 0.287598i
\(276\) 6.53565 5.36711i 0.393400 0.323062i
\(277\) 0.654162 1.13304i 0.0393048 0.0680779i −0.845704 0.533653i \(-0.820819\pi\)
0.885009 + 0.465575i \(0.154152\pi\)
\(278\) 0.0612858 0.0860639i 0.00367568 0.00516177i
\(279\) 9.61591 2.82349i 0.575689 0.169038i
\(280\) 2.18641 6.76997i 0.130663 0.404583i
\(281\) 14.1032 + 9.06357i 0.841326 + 0.540687i 0.888858 0.458182i \(-0.151499\pi\)
−0.0475323 + 0.998870i \(0.515136\pi\)
\(282\) 1.42508 4.11751i 0.0848626 0.245194i
\(283\) −15.3538 6.14671i −0.912686 0.365384i −0.132682 0.991159i \(-0.542359\pi\)
−0.780004 + 0.625774i \(0.784783\pi\)
\(284\) −19.9289 + 19.0022i −1.18256 + 1.12757i
\(285\) −3.65219 1.88283i −0.216337 0.111530i
\(286\) 0.156073 1.08551i 0.00922880 0.0641877i
\(287\) 4.11207 + 2.52329i 0.242728 + 0.148945i
\(288\) 2.05361 4.49678i 0.121010 0.264975i
\(289\) −4.82108 + 1.93007i −0.283593 + 0.113534i
\(290\) −0.277143 5.81795i −0.0162744 0.341642i
\(291\) −0.641950 + 0.612098i −0.0376317 + 0.0358818i
\(292\) 20.4735 16.1005i 1.19812 0.942211i
\(293\) −13.0037 15.0071i −0.759686 0.876724i 0.235784 0.971806i \(-0.424234\pi\)
−0.995470 + 0.0950812i \(0.969689\pi\)
\(294\) 2.33490 + 2.47821i 0.136174 + 0.144532i
\(295\) −9.48367 + 10.9447i −0.552161 + 0.637227i
\(296\) 15.3803 + 14.6651i 0.893964 + 0.852393i
\(297\) 1.92877 + 0.184175i 0.111919 + 0.0106869i
\(298\) 2.59787 4.49965i 0.150491 0.260658i
\(299\) 2.42507 + 5.02620i 0.140245 + 0.290673i
\(300\) −5.01211 −0.289375
\(301\) −22.4740 + 7.11032i −1.29538 + 0.409832i
\(302\) 1.73252 0.508713i 0.0996952 0.0292731i
\(303\) 5.92459 + 1.14187i 0.340359 + 0.0655988i
\(304\) −6.55493 + 3.37930i −0.375951 + 0.193816i
\(305\) −17.4364 + 3.36059i −0.998407 + 0.192427i
\(306\) 1.31379 1.03317i 0.0751043 0.0590627i
\(307\) −16.4180 4.82077i −0.937027 0.275136i −0.222651 0.974898i \(-0.571471\pi\)
−0.714376 + 0.699762i \(0.753289\pi\)
\(308\) 5.08911 7.47104i 0.289979 0.425702i
\(309\) −0.526928 + 3.66487i −0.0299759 + 0.208487i
\(310\) −7.12818 + 0.680658i −0.404853 + 0.0386588i
\(311\) 3.17598 + 4.46003i 0.180093 + 0.252905i 0.894748 0.446572i \(-0.147355\pi\)
−0.714654 + 0.699478i \(0.753416\pi\)
\(312\) 1.67440 + 1.31676i 0.0947942 + 0.0745469i
\(313\) 11.0660 + 5.70493i 0.625488 + 0.322462i 0.741669 0.670767i \(-0.234035\pi\)
−0.116180 + 0.993228i \(0.537065\pi\)
\(314\) −0.552858 0.162334i −0.0311996 0.00916103i
\(315\) −1.87271 + 3.40542i −0.105515 + 0.191874i
\(316\) 0.253036 + 0.292020i 0.0142344 + 0.0164274i
\(317\) 0.919005 19.2923i 0.0516164 1.08356i −0.813363 0.581756i \(-0.802366\pi\)
0.864980 0.501806i \(-0.167331\pi\)
\(318\) 0.868639 + 2.50977i 0.0487108 + 0.140741i
\(319\) 3.72376 15.3496i 0.208491 0.859410i
\(320\) 2.44386 3.43192i 0.136616 0.191850i
\(321\) 1.46909 0.0819966
\(322\) 0.0348355 6.17179i 0.00194130 0.343940i
\(323\) −9.61180 −0.534815
\(324\) −1.02287 + 1.43643i −0.0568263 + 0.0798014i
\(325\) 0.779756 3.21420i 0.0432531 0.178292i
\(326\) 0.360641 + 1.04200i 0.0199741 + 0.0577113i
\(327\) −0.213097 + 4.47345i −0.0117843 + 0.247382i
\(328\) −2.18595 2.52272i −0.120699 0.139294i
\(329\) 12.2746 + 20.2736i 0.676721 + 1.11772i
\(330\) −1.32830 0.390023i −0.0731203 0.0214700i
\(331\) −28.9773 14.9389i −1.59274 0.821114i −0.999875 0.0158112i \(-0.994967\pi\)
−0.592864 0.805303i \(-0.702003\pi\)
\(332\) 15.1336 + 11.9012i 0.830563 + 0.653162i
\(333\) −6.73398 9.45655i −0.369020 0.518216i
\(334\) 4.29826 0.410434i 0.235191 0.0224580i
\(335\) −1.92474 + 13.3869i −0.105160 + 0.731402i
\(336\) 3.02906 + 6.28321i 0.165249 + 0.342777i
\(337\) 12.7466 + 3.74274i 0.694351 + 0.203880i 0.609819 0.792541i \(-0.291242\pi\)
0.0845324 + 0.996421i \(0.473060\pi\)
\(338\) 4.45278 3.50170i 0.242199 0.190468i
\(339\) 16.8051 3.23892i 0.912727 0.175914i
\(340\) 7.91110 4.07846i 0.429040 0.221185i
\(341\) −19.0669 3.67485i −1.03253 0.199004i
\(342\) −1.30552 + 0.383335i −0.0705944 + 0.0207284i
\(343\) −18.4842 + 1.15583i −0.998051 + 0.0624092i
\(344\) 16.3092 0.879332
\(345\) 6.71583 2.12714i 0.361568 0.114521i
\(346\) −4.03700 + 6.99229i −0.217031 + 0.375908i
\(347\) 21.1128 + 2.01603i 1.13340 + 0.108226i 0.644848 0.764311i \(-0.276921\pi\)
0.488548 + 0.872537i \(0.337527\pi\)
\(348\) 10.4038 + 9.92000i 0.557702 + 0.531768i
\(349\) 8.19057 9.45242i 0.438431 0.505976i −0.492932 0.870068i \(-0.664075\pi\)
0.931363 + 0.364091i \(0.118620\pi\)
\(350\) −2.33731 + 2.81367i −0.124934 + 0.150397i
\(351\) −0.762027 0.879426i −0.0406740 0.0469403i
\(352\) −7.52904 + 5.92090i −0.401299 + 0.315585i
\(353\) 3.58016 3.41368i 0.190553 0.181692i −0.588797 0.808281i \(-0.700398\pi\)
0.779349 + 0.626589i \(0.215550\pi\)
\(354\) 0.228181 + 4.79010i 0.0121277 + 0.254591i
\(355\) −21.2946 + 8.52506i −1.13020 + 0.452463i
\(356\) 1.59841 3.50002i 0.0847154 0.185501i
\(357\) −0.243461 + 9.08786i −0.0128853 + 0.480981i
\(358\) −0.789885 + 5.49377i −0.0417467 + 0.290355i
\(359\) −10.6953 5.51383i −0.564478 0.291009i 0.152272 0.988339i \(-0.451341\pi\)
−0.716750 + 0.697330i \(0.754371\pi\)
\(360\) 1.94608 1.85558i 0.102567 0.0977978i
\(361\) −10.3747 4.15341i −0.546037 0.218600i
\(362\) 0.746678 2.15738i 0.0392445 0.113390i
\(363\) 6.09565 + 3.91744i 0.319939 + 0.205612i
\(364\) −5.30837 + 1.13819i −0.278234 + 0.0596574i
\(365\) 20.8173 6.11253i 1.08963 0.319944i
\(366\) −3.41081 + 4.78981i −0.178286 + 0.250367i
\(367\) −8.27627 + 14.3349i −0.432018 + 0.748277i −0.997047 0.0767941i \(-0.975532\pi\)
0.565029 + 0.825071i \(0.308865\pi\)
\(368\) 3.88187 12.0330i 0.202356 0.627266i
\(369\) 0.911751 + 1.57920i 0.0474638 + 0.0822098i
\(370\) 3.44575 + 7.54514i 0.179136 + 0.392253i
\(371\) −13.5200 5.08869i −0.701922 0.264192i
\(372\) 11.5731 13.3560i 0.600036 0.692479i
\(373\) 1.38514 29.0777i 0.0717199 1.50559i −0.620675 0.784068i \(-0.713141\pi\)
0.692395 0.721519i \(-0.256556\pi\)
\(374\) −3.17984 + 0.612864i −0.164426 + 0.0316905i
\(375\) −10.6945 4.28142i −0.552260 0.221092i
\(376\) −3.86591 15.9355i −0.199369 0.821810i
\(377\) −7.98013 + 5.12852i −0.410997 + 0.264132i
\(378\) 0.329371 + 1.24406i 0.0169410 + 0.0639878i
\(379\) −6.98526 + 15.2956i −0.358809 + 0.785682i 0.641026 + 0.767519i \(0.278509\pi\)
−0.999835 + 0.0181629i \(0.994218\pi\)
\(380\) −7.21294 + 0.688752i −0.370016 + 0.0353323i
\(381\) −0.465968 0.366441i −0.0238723 0.0187733i
\(382\) 0.0346129 + 0.726615i 0.00177095 + 0.0371769i
\(383\) −5.77005 23.7845i −0.294836 1.21533i −0.905812 0.423680i \(-0.860738\pi\)
0.610976 0.791649i \(-0.290777\pi\)
\(384\) −1.60562 11.1673i −0.0819363 0.569880i
\(385\) 6.24855 4.20202i 0.318456 0.214155i
\(386\) 4.99117 + 3.20763i 0.254044 + 0.163264i
\(387\) −8.74835 1.68611i −0.444704 0.0857096i
\(388\) −0.368758 + 1.52004i −0.0187209 + 0.0771684i
\(389\) −31.7140 3.02832i −1.60796 0.153542i −0.747929 0.663779i \(-0.768952\pi\)
−0.860034 + 0.510237i \(0.829558\pi\)
\(390\) 0.415712 + 0.720033i 0.0210504 + 0.0364603i
\(391\) 11.6834 11.6214i 0.590856 0.587720i
\(392\) 12.4345 + 3.09526i 0.628038 + 0.156334i
\(393\) −8.46377 18.5331i −0.426941 0.934870i
\(394\) −7.25625 6.91882i −0.365565 0.348565i
\(395\) 0.105273 + 0.304166i 0.00529685 + 0.0153042i
\(396\) 3.03686 1.56561i 0.152608 0.0786749i
\(397\) 9.63897 27.8500i 0.483766 1.39775i −0.394199 0.919025i \(-0.628978\pi\)
0.877965 0.478725i \(-0.158901\pi\)
\(398\) −0.793574 5.51943i −0.0397783 0.276664i
\(399\) 2.93365 6.79464i 0.146866 0.340158i
\(400\) −6.30386 + 4.05125i −0.315193 + 0.202562i
\(401\) 4.72139 1.89016i 0.235775 0.0943900i −0.250766 0.968048i \(-0.580683\pi\)
0.486541 + 0.873658i \(0.338258\pi\)
\(402\) 2.59778 + 3.64807i 0.129565 + 0.181949i
\(403\) 6.76457 + 9.49951i 0.336967 + 0.473204i
\(404\) 9.87757 3.95438i 0.491427 0.196738i
\(405\) −1.23573 + 0.794154i −0.0614038 + 0.0394618i
\(406\) 10.4204 1.21440i 0.517158 0.0602695i
\(407\) 3.20113 + 22.2643i 0.158674 + 1.10360i
\(408\) 2.05727 5.94410i 0.101850 0.294277i
\(409\) 12.0887 6.23217i 0.597749 0.308161i −0.132670 0.991160i \(-0.542355\pi\)
0.730419 + 0.682999i \(0.239325\pi\)
\(410\) −0.426133 1.23123i −0.0210452 0.0608061i
\(411\) 0.355346 + 0.338822i 0.0175279 + 0.0167129i
\(412\) 2.71228 + 5.93907i 0.133625 + 0.292597i
\(413\) −20.8349 15.6940i −1.02522 0.772252i
\(414\) 1.12341 2.04443i 0.0552128 0.100478i
\(415\) 8.01870 + 13.8888i 0.393622 + 0.681774i
\(416\) 5.72645 + 0.546810i 0.280762 + 0.0268096i
\(417\) −0.0512097 + 0.211089i −0.00250775 + 0.0103371i
\(418\) 2.58865 + 0.498921i 0.126615 + 0.0244030i
\(419\) 31.1112 + 19.9940i 1.51988 + 0.976770i 0.991831 + 0.127559i \(0.0407141\pi\)
0.528053 + 0.849211i \(0.322922\pi\)
\(420\) 0.468509 + 6.83721i 0.0228609 + 0.333622i
\(421\) 3.94862 + 27.4633i 0.192444 + 1.33848i 0.825513 + 0.564383i \(0.190886\pi\)
−0.633069 + 0.774095i \(0.718205\pi\)
\(422\) −0.469019 1.93332i −0.0228315 0.0941128i
\(423\) 0.426226 + 8.94758i 0.0207238 + 0.435046i
\(424\) 7.85658 + 6.17849i 0.381549 + 0.300054i
\(425\) −9.72225 + 0.928363i −0.471599 + 0.0450322i
\(426\) −3.15530 + 6.90913i −0.152875 + 0.334749i
\(427\) −8.18582 30.9186i −0.396140 1.49625i
\(428\) 2.17935 1.40058i 0.105343 0.0676997i
\(429\) 0.531547 + 2.19106i 0.0256633 + 0.105786i
\(430\) 5.90973 + 2.36590i 0.284992 + 0.114094i
\(431\) −23.1630 + 4.46430i −1.11572 + 0.215038i −0.713603 0.700550i \(-0.752938\pi\)
−0.402118 + 0.915588i \(0.631726\pi\)
\(432\) −0.125445 + 2.63341i −0.00603546 + 0.126700i
\(433\) −7.24147 + 8.35710i −0.348003 + 0.401616i −0.902585 0.430513i \(-0.858333\pi\)
0.554582 + 0.832129i \(0.312878\pi\)
\(434\) −2.10082 12.7252i −0.100843 0.610828i
\(435\) 4.97439 + 10.8924i 0.238504 + 0.522250i
\(436\) 3.94872 + 6.83938i 0.189109 + 0.327547i
\(437\) −12.3462 + 5.24810i −0.590597 + 0.251051i
\(438\) 3.59222 6.22191i 0.171643 0.297294i
\(439\) 8.96672 12.5920i 0.427958 0.600983i −0.543146 0.839638i \(-0.682767\pi\)
0.971104 + 0.238655i \(0.0767064\pi\)
\(440\) −4.99891 + 1.46781i −0.238314 + 0.0699752i
\(441\) −6.34996 2.94585i −0.302379 0.140278i
\(442\) 1.63614 + 1.05149i 0.0778235 + 0.0500141i
\(443\) 3.26198 9.42486i 0.154981 0.447789i −0.840604 0.541650i \(-0.817800\pi\)
0.995585 + 0.0938613i \(0.0299210\pi\)
\(444\) −19.0052 7.60854i −0.901947 0.361085i
\(445\) 2.31968 2.21181i 0.109964 0.104850i
\(446\) 12.1825 + 6.28050i 0.576857 + 0.297390i
\(447\) −1.52017 + 10.5730i −0.0719018 + 0.500088i
\(448\) 6.46790 + 3.96891i 0.305580 + 0.187513i
\(449\) 15.8597 34.7278i 0.748463 1.63891i −0.0206448 0.999787i \(-0.506572\pi\)
0.769108 0.639119i \(-0.220701\pi\)
\(450\) −1.28350 + 0.513835i −0.0605046 + 0.0242224i
\(451\) −0.168113 3.52912i −0.00791611 0.166180i
\(452\) 21.8419 20.8263i 1.02736 0.979585i
\(453\) −2.91798 + 2.29473i −0.137099 + 0.107816i
\(454\) −4.61136 5.32179i −0.216422 0.249764i
\(455\) −4.45750 0.763246i −0.208971 0.0357815i
\(456\) −3.35329 + 3.86990i −0.157032 + 0.181225i
\(457\) −17.5025 16.6886i −0.818731 0.780659i 0.159714 0.987163i \(-0.448943\pi\)
−0.978446 + 0.206504i \(0.933791\pi\)
\(458\) −0.175260 0.0167353i −0.00818937 0.000781990i
\(459\) −1.71806 + 2.97577i −0.0801922 + 0.138897i
\(460\) 7.93478 9.55820i 0.369961 0.445653i
\(461\) 21.2043 0.987582 0.493791 0.869581i \(-0.335611\pi\)
0.493791 + 0.869581i \(0.335611\pi\)
\(462\) 0.537294 2.43491i 0.0249972 0.113282i
\(463\) 4.56571 1.34061i 0.212186 0.0623035i −0.173912 0.984761i \(-0.555641\pi\)
0.386098 + 0.922458i \(0.373823\pi\)
\(464\) 21.1034 + 4.06734i 0.979699 + 0.188822i
\(465\) 13.0848 6.74566i 0.606791 0.312823i
\(466\) −2.67476 + 0.515518i −0.123906 + 0.0238809i
\(467\) −5.86396 + 4.61147i −0.271352 + 0.213393i −0.744557 0.667559i \(-0.767339\pi\)
0.473205 + 0.880952i \(0.343097\pi\)
\(468\) −1.96886 0.578109i −0.0910105 0.0267231i
\(469\) −24.2925 1.81030i −1.12172 0.0835917i
\(470\) 0.910854 6.33513i 0.0420146 0.292218i
\(471\) 1.17922 0.112602i 0.0543357 0.00518843i
\(472\) 10.4686 + 14.7011i 0.481856 + 0.676672i
\(473\) 13.5691 + 10.6708i 0.623907 + 0.490646i
\(474\) 0.0947347 + 0.0488391i 0.00435131 + 0.00224326i
\(475\) 7.62865 + 2.23997i 0.350026 + 0.102777i
\(476\) 8.30290 + 13.7137i 0.380563 + 0.628565i
\(477\) −3.57557 4.12643i −0.163714 0.188936i
\(478\) −0.478313 + 10.0410i −0.0218775 + 0.459266i
\(479\) −3.63958 10.5159i −0.166297 0.480483i 0.830805 0.556564i \(-0.187880\pi\)
−0.997102 + 0.0760809i \(0.975759\pi\)
\(480\) 1.71198 7.05689i 0.0781410 0.322101i
\(481\) 7.83597 11.0041i 0.357290 0.501743i
\(482\) −11.3777 −0.518240
\(483\) 4.64931 + 11.8061i 0.211551 + 0.537196i
\(484\) 12.7775 0.580794
\(485\) −0.755768 + 1.06133i −0.0343176 + 0.0481924i
\(486\) −0.114676 + 0.472702i −0.00520182 + 0.0214422i
\(487\) −10.5703 30.5409i −0.478987 1.38394i −0.883079 0.469224i \(-0.844534\pi\)
0.404092 0.914718i \(-0.367587\pi\)
\(488\) −1.05295 + 22.1042i −0.0476650 + 1.00061i
\(489\) −1.48450 1.71321i −0.0671316 0.0774739i
\(490\) 4.05671 + 2.92540i 0.183263 + 0.132156i
\(491\) −0.706000 0.207300i −0.0318613 0.00935533i 0.265763 0.964038i \(-0.414376\pi\)
−0.297624 + 0.954683i \(0.596194\pi\)
\(492\) 2.85811 + 1.47346i 0.128854 + 0.0664286i
\(493\) 22.0182 + 17.3153i 0.991650 + 0.779842i
\(494\) −0.918403 1.28972i −0.0413209 0.0580271i
\(495\) 2.83320 0.270538i 0.127343 0.0121598i
\(496\) 3.76018 26.1526i 0.168837 1.17429i
\(497\) −17.9412 37.2155i −0.804771 1.66935i
\(498\) 5.09548 + 1.49617i 0.228334 + 0.0670449i
\(499\) 8.76609 6.89373i 0.392424 0.308606i −0.402379 0.915473i \(-0.631817\pi\)
0.794803 + 0.606867i \(0.207574\pi\)
\(500\) −19.9467 + 3.84441i −0.892042 + 0.171927i
\(501\) −7.89006 + 4.06761i −0.352502 + 0.181727i
\(502\) 5.87280 + 1.13189i 0.262116 + 0.0505187i
\(503\) 12.7633 3.74764i 0.569087 0.167099i 0.0154848 0.999880i \(-0.495071\pi\)
0.553603 + 0.832781i \(0.313253\pi\)
\(504\) 3.57402 + 3.26852i 0.159199 + 0.145592i
\(505\) 8.86287 0.394392
\(506\) −3.74981 + 2.52342i −0.166699 + 0.112180i
\(507\) −5.82296 + 10.0857i −0.258607 + 0.447920i
\(508\) −1.04060 0.0993654i −0.0461692 0.00440863i
\(509\) 27.8632 + 26.5675i 1.23502 + 1.17758i 0.977414 + 0.211333i \(0.0677806\pi\)
0.257601 + 0.966251i \(0.417068\pi\)
\(510\) 1.60775 1.85544i 0.0711923 0.0821603i
\(511\) 13.5472 + 36.6551i 0.599293 + 1.62153i
\(512\) −14.8557 17.1444i −0.656534 0.757681i
\(513\) 2.19881 1.72916i 0.0970799 0.0763445i
\(514\) 3.41215 3.25348i 0.150503 0.143505i
\(515\) 0.258785 + 5.43257i 0.0114034 + 0.239387i
\(516\) −14.5854 + 5.83911i −0.642086 + 0.257052i
\(517\) 7.20994 15.7876i 0.317093 0.694337i
\(518\) −13.1340 + 7.12090i −0.577073 + 0.312874i
\(519\) 2.36229 16.4301i 0.103693 0.721202i
\(520\) 2.78115 + 1.43378i 0.121961 + 0.0628755i
\(521\) 23.2473 22.1663i 1.01848 0.971121i 0.0188947 0.999821i \(-0.493985\pi\)
0.999588 + 0.0287002i \(0.00913680\pi\)
\(522\) 3.68118 + 1.47372i 0.161121 + 0.0645030i
\(523\) −1.13039 + 3.26604i −0.0494283 + 0.142814i −0.967013 0.254726i \(-0.918015\pi\)
0.917585 + 0.397540i \(0.130136\pi\)
\(524\) −30.2246 19.4242i −1.32037 0.848548i
\(525\) 2.31110 7.15607i 0.100865 0.312317i
\(526\) 3.48291 1.02267i 0.151862 0.0445907i
\(527\) 19.9750 28.0510i 0.870126 1.22192i
\(528\) 2.55407 4.42377i 0.111151 0.192520i
\(529\) 8.66175 21.3067i 0.376598 0.926377i
\(530\) 1.95059 + 3.37853i 0.0847284 + 0.146754i
\(531\) −4.09557 8.96804i −0.177732 0.389180i
\(532\) −2.12581 12.8765i −0.0921654 0.558267i
\(533\) −1.38956 + 1.60363i −0.0601884 + 0.0694611i
\(534\) 0.0505011 1.06015i 0.00218540 0.0458771i
\(535\) 2.11897 0.408397i 0.0916109 0.0176565i
\(536\) 15.6470 + 6.26413i 0.675849 + 0.270569i
\(537\) −2.69015 11.0890i −0.116089 0.478524i
\(538\) 4.56964 2.93673i 0.197011 0.126611i
\(539\) 8.32022 + 10.7109i 0.358377 + 0.461352i
\(540\) −1.07604 + 2.35620i −0.0463055 + 0.101395i
\(541\) −30.4330 + 2.90600i −1.30842 + 0.124939i −0.725854 0.687848i \(-0.758555\pi\)
−0.582561 + 0.812787i \(0.697949\pi\)
\(542\) −2.65949 2.09145i −0.114235 0.0898354i
\(543\) 0.223322 + 4.68811i 0.00958368 + 0.201186i
\(544\) −4.00472 16.5077i −0.171701 0.707761i
\(545\) 0.936226 + 6.51159i 0.0401035 + 0.278926i
\(546\) −1.24268 + 0.835673i −0.0531816 + 0.0357635i
\(547\) 1.21731 + 0.782320i 0.0520486 + 0.0334496i 0.566406 0.824126i \(-0.308333\pi\)
−0.514358 + 0.857576i \(0.671970\pi\)
\(548\) 0.850167 + 0.163856i 0.0363173 + 0.00699959i
\(549\) 2.85003 11.7480i 0.121636 0.501392i
\(550\) 2.66659 + 0.254628i 0.113704 + 0.0108574i
\(551\) −11.4017 19.7482i −0.485727 0.841303i
\(552\) −0.602990 8.75836i −0.0256650 0.372781i
\(553\) −0.533608 + 0.226623i −0.0226913 + 0.00963699i
\(554\) −0.264364 0.578877i −0.0112318 0.0245941i
\(555\) −12.3417 11.7678i −0.523877 0.499516i
\(556\) 0.125278 + 0.361966i 0.00531296 + 0.0153508i
\(557\) −31.5620 + 16.2713i −1.33732 + 0.689438i −0.970556 0.240875i \(-0.922566\pi\)
−0.366767 + 0.930313i \(0.619535\pi\)
\(558\) 1.59438 4.60666i 0.0674955 0.195015i
\(559\) −1.47543 10.2618i −0.0624039 0.434029i
\(560\) 6.11571 + 8.22064i 0.258436 + 0.347385i
\(561\) 5.60076 3.59939i 0.236464 0.151966i
\(562\) 7.57035 3.03071i 0.319336 0.127843i
\(563\) 13.7065 + 19.2480i 0.577659 + 0.811208i 0.995242 0.0974303i \(-0.0310623\pi\)
−0.417584 + 0.908639i \(0.637123\pi\)
\(564\) 9.16262 + 12.8671i 0.385816 + 0.541803i
\(565\) 23.3387 9.34341i 0.981867 0.393080i
\(566\) −6.76747 + 4.34919i −0.284458 + 0.182810i
\(567\) −1.57921 2.12275i −0.0663207 0.0891473i
\(568\) 4.06807 + 28.2941i 0.170693 + 1.18719i
\(569\) 3.60676 10.4210i 0.151203 0.436873i −0.843807 0.536647i \(-0.819691\pi\)
0.995010 + 0.0997740i \(0.0318120\pi\)
\(570\) −1.77647 + 0.915835i −0.0744082 + 0.0383601i
\(571\) 11.4705 + 33.1420i 0.480028 + 1.38695i 0.881979 + 0.471288i \(0.156211\pi\)
−0.401952 + 0.915661i \(0.631668\pi\)
\(572\) 2.87742 + 2.74362i 0.120311 + 0.114716i
\(573\) −0.621260 1.36037i −0.0259535 0.0568303i
\(574\) 2.15999 0.917345i 0.0901561 0.0382892i
\(575\) −11.9811 + 6.50087i −0.499648 + 0.271105i
\(576\) 1.43410 + 2.48393i 0.0597541 + 0.103497i
\(577\) 5.72208 + 0.546393i 0.238213 + 0.0227466i 0.213480 0.976947i \(-0.431520\pi\)
0.0247336 + 0.999694i \(0.492126\pi\)
\(578\) −0.595522 + 2.45477i −0.0247704 + 0.102105i
\(579\) −11.9771 2.30839i −0.497750 0.0959335i
\(580\) 17.7638 + 11.4161i 0.737601 + 0.474028i
\(581\) −23.9701 + 16.1194i −0.994447 + 0.668744i
\(582\) 0.0614012 + 0.427055i 0.00254516 + 0.0177020i
\(583\) 2.49411 + 10.2809i 0.103296 + 0.425790i
\(584\) −1.28652 27.0073i −0.0532365 1.11757i
\(585\) −1.34360 1.05662i −0.0555509 0.0436857i
\(586\) −9.61508 + 0.918129i −0.397195 + 0.0379276i
\(587\) 12.3842 27.1175i 0.511149 1.11926i −0.461534 0.887123i \(-0.652701\pi\)
0.972683 0.232138i \(-0.0745721\pi\)
\(588\) −12.2284 + 1.68378i −0.504292 + 0.0694377i
\(589\) −23.5837 + 15.1563i −0.971749 + 0.624505i
\(590\) 1.66074 + 6.84565i 0.0683714 + 0.281831i
\(591\) 19.1359 + 7.66085i 0.787145 + 0.315125i
\(592\) −30.0532 + 5.79229i −1.23518 + 0.238061i
\(593\) −0.641088 + 13.4581i −0.0263263 + 0.552658i 0.946721 + 0.322054i \(0.104373\pi\)
−0.973048 + 0.230604i \(0.925930\pi\)
\(594\) 0.617172 0.712254i 0.0253229 0.0292241i
\(595\) 2.17521 + 13.1757i 0.0891747 + 0.540151i
\(596\) 7.82486 + 17.1341i 0.320519 + 0.701838i
\(597\) 5.73194 + 9.92802i 0.234593 + 0.406327i
\(598\) 2.67571 + 0.457267i 0.109418 + 0.0186991i
\(599\) 3.93412 6.81409i 0.160744 0.278416i −0.774392 0.632706i \(-0.781944\pi\)
0.935136 + 0.354290i \(0.115277\pi\)
\(600\) −3.01805 + 4.23825i −0.123211 + 0.173026i
\(601\) 2.80715 0.824255i 0.114506 0.0336221i −0.223977 0.974594i \(-0.571904\pi\)
0.338484 + 0.940972i \(0.390086\pi\)
\(602\) −3.52372 + 10.9108i −0.143616 + 0.444691i
\(603\) −7.74556 4.97777i −0.315424 0.202711i
\(604\) −2.14102 + 6.18606i −0.0871168 + 0.251707i
\(605\) 9.88119 + 3.95583i 0.401727 + 0.160827i
\(606\) 2.12404 2.02527i 0.0862832 0.0822709i
\(607\) 23.5669 + 12.1496i 0.956552 + 0.493137i 0.864508 0.502618i \(-0.167630\pi\)
0.0920433 + 0.995755i \(0.470660\pi\)
\(608\) −1.96799 + 13.6876i −0.0798123 + 0.555107i
\(609\) −18.9606 + 10.2799i −0.768321 + 0.416564i
\(610\) −3.58810 + 7.85685i −0.145278 + 0.318114i
\(611\) −9.67696 + 3.87407i −0.391488 + 0.156728i
\(612\) 0.288311 + 6.05240i 0.0116543 + 0.244654i
\(613\) −5.19506 + 4.95348i −0.209826 + 0.200069i −0.787703 0.616055i \(-0.788730\pi\)
0.577877 + 0.816124i \(0.303881\pi\)
\(614\) −6.54239 + 5.14499i −0.264029 + 0.207635i
\(615\) 1.75409 + 2.02432i 0.0707316 + 0.0816286i
\(616\) −3.25312 8.80206i −0.131072 0.354645i
\(617\) −24.7338 + 28.5444i −0.995746 + 1.14915i −0.00693591 + 0.999976i \(0.502208\pi\)
−0.988811 + 0.149177i \(0.952338\pi\)
\(618\) 1.30342 + 1.24281i 0.0524314 + 0.0499932i
\(619\) −22.6778 2.16546i −0.911496 0.0870373i −0.371239 0.928537i \(-0.621067\pi\)
−0.540257 + 0.841500i \(0.681673\pi\)
\(620\) 12.9797 22.4816i 0.521279 0.902881i
\(621\) −0.582026 + 4.76038i −0.0233559 + 0.191028i
\(622\) 2.66325 0.106787
\(623\) 4.26015 + 3.89601i 0.170679 + 0.156090i
\(624\) −2.94356 + 0.864308i −0.117837 + 0.0346000i
\(625\) −2.66089 0.512844i −0.106435 0.0205137i
\(626\) 5.38265 2.77495i 0.215134 0.110909i
\(627\) −5.32192 + 1.02572i −0.212537 + 0.0409631i
\(628\) 1.64199 1.29127i 0.0655225 0.0515275i
\(629\) −38.2746 11.2385i −1.52611 0.448106i
\(630\) 0.820916 + 1.70283i 0.0327061 + 0.0678426i
\(631\) −1.67334 + 11.6384i −0.0666148 + 0.463316i 0.929024 + 0.370020i \(0.120649\pi\)
−0.995638 + 0.0932957i \(0.970260\pi\)
\(632\) 0.399298 0.0381284i 0.0158832 0.00151666i
\(633\) 2.37240 + 3.33157i 0.0942945 + 0.132418i
\(634\) −7.38470 5.80739i −0.293284 0.230641i
\(635\) −0.773965 0.399007i −0.0307139 0.0158341i
\(636\) −9.23824 2.71259i −0.366320 0.107561i
\(637\) 0.822650 8.10388i 0.0325946 0.321087i
\(638\) −5.03115 5.80626i −0.199185 0.229872i
\(639\) 0.743010 15.5977i 0.0293930 0.617036i
\(640\) −5.42033 15.6610i −0.214257 0.619056i
\(641\) 1.87239 7.71810i 0.0739550 0.304847i −0.922806 0.385264i \(-0.874110\pi\)
0.996761 + 0.0804177i \(0.0256254\pi\)
\(642\) 0.414499 0.582083i 0.0163590 0.0229730i
\(643\) 5.57317 0.219784 0.109892 0.993944i \(-0.464949\pi\)
0.109892 + 0.993944i \(0.464949\pi\)
\(644\) 18.1526 + 13.0815i 0.715315 + 0.515482i
\(645\) −13.0871 −0.515303
\(646\) −2.71194 + 3.80839i −0.106700 + 0.149839i
\(647\) −4.01783 + 16.5617i −0.157957 + 0.651108i 0.836681 + 0.547691i \(0.184493\pi\)
−0.994638 + 0.103417i \(0.967022\pi\)
\(648\) 0.598720 + 1.72989i 0.0235199 + 0.0679564i
\(649\) −0.908920 + 19.0806i −0.0356782 + 0.748978i
\(650\) −1.05352 1.21583i −0.0413226 0.0476889i
\(651\) 13.7328 + 22.6820i 0.538230 + 0.888979i
\(652\) −3.83553 1.12621i −0.150211 0.0441059i
\(653\) 0.325749 + 0.167935i 0.0127475 + 0.00657181i 0.464589 0.885527i \(-0.346202\pi\)
−0.451841 + 0.892098i \(0.649233\pi\)
\(654\) 1.71235 + 1.34660i 0.0669580 + 0.0526564i
\(655\) −17.3599 24.3786i −0.678309 0.952552i
\(656\) 4.78570 0.456979i 0.186850 0.0178420i
\(657\) −2.10203 + 14.6199i −0.0820078 + 0.570377i
\(658\) 11.4961 + 0.856695i 0.448163 + 0.0333974i
\(659\) 17.8226 + 5.23318i 0.694270 + 0.203856i 0.609783 0.792569i \(-0.291257\pi\)
0.0844868 + 0.996425i \(0.473075\pi\)
\(660\) 3.94504 3.10241i 0.153560 0.120761i
\(661\) −42.2141 + 8.13610i −1.64194 + 0.316458i −0.924794 0.380468i \(-0.875763\pi\)
−0.717144 + 0.696925i \(0.754551\pi\)
\(662\) −14.0950 + 7.26645i −0.547816 + 0.282419i
\(663\) −3.92617 0.756708i −0.152480 0.0293881i
\(664\) 19.1763 5.63068i 0.744186 0.218513i
\(665\) 2.34254 10.6159i 0.0908398 0.411667i
\(666\) −5.64685 −0.218811
\(667\) 37.7362 + 10.2191i 1.46115 + 0.395684i
\(668\) −7.82673 + 13.5563i −0.302825 + 0.524509i
\(669\) −28.0503 2.67848i −1.08449 0.103556i
\(670\) 4.76109 + 4.53969i 0.183937 + 0.175383i
\(671\) −15.3385 + 17.7016i −0.592136 + 0.683361i
\(672\) 12.8917 + 2.20741i 0.497307 + 0.0851527i
\(673\) −9.57604 11.0513i −0.369129 0.425998i 0.540549 0.841313i \(-0.318217\pi\)
−0.909678 + 0.415315i \(0.863671\pi\)
\(674\) 5.07936 3.99446i 0.195650 0.153861i
\(675\) 2.05707 1.96141i 0.0791766 0.0754947i
\(676\) 0.977164 + 20.5132i 0.0375832 + 0.788969i
\(677\) −10.7966 + 4.32232i −0.414948 + 0.166120i −0.569737 0.821827i \(-0.692955\pi\)
0.154788 + 0.987948i \(0.450531\pi\)
\(678\) 3.45818 7.57237i 0.132811 0.290815i
\(679\) −2.00021 1.22739i −0.0767611 0.0471030i
\(680\) 1.31492 9.14549i 0.0504250 0.350713i
\(681\) 12.8676 + 6.63369i 0.493086 + 0.254204i
\(682\) −6.83573 + 6.51785i −0.261753 + 0.249581i
\(683\) −27.7006 11.0896i −1.05993 0.424334i −0.224814 0.974402i \(-0.572178\pi\)
−0.835120 + 0.550068i \(0.814602\pi\)
\(684\) 1.61334 4.66144i 0.0616876 0.178235i
\(685\) 0.606730 + 0.389922i 0.0231820 + 0.0148981i
\(686\) −4.75729 + 7.64991i −0.181634 + 0.292075i
\(687\) 0.347289 0.101973i 0.0132499 0.00389052i
\(688\) −13.6247 + 19.1332i −0.519437 + 0.729447i
\(689\) 3.17678 5.50235i 0.121026 0.209623i
\(690\) 1.05204 3.26112i 0.0400504 0.124149i
\(691\) 5.42370 + 9.39412i 0.206327 + 0.357369i 0.950555 0.310557i \(-0.100516\pi\)
−0.744228 + 0.667926i \(0.767182\pi\)
\(692\) −12.1595 26.6257i −0.462237 1.01216i
\(693\) 0.835003 + 5.05780i 0.0317191 + 0.192130i
\(694\) 6.75572 7.79651i 0.256443 0.295952i
\(695\) −0.0151818 + 0.318704i −0.000575877 + 0.0120891i
\(696\) 14.6530 2.82414i 0.555422 0.107049i
\(697\) 5.81694 + 2.32875i 0.220332 + 0.0882078i
\(698\) −1.43429 5.91224i −0.0542889 0.223782i
\(699\) 4.71115 3.02767i 0.178192 0.114517i
\(700\) −3.39392 12.8191i −0.128278 0.484518i
\(701\) −10.6612 + 23.3447i −0.402666 + 0.881716i 0.594327 + 0.804224i \(0.297419\pi\)
−0.996993 + 0.0774924i \(0.975309\pi\)
\(702\) −0.563450 + 0.0538029i −0.0212660 + 0.00203066i
\(703\) 25.5264 + 20.0742i 0.962745 + 0.757111i
\(704\) −0.264425 5.55097i −0.00996591 0.209210i
\(705\) 3.10214 + 12.7872i 0.116833 + 0.481594i
\(706\) −0.342435 2.38169i −0.0128877 0.0896361i
\(707\) 1.09131 + 15.9261i 0.0410430 + 0.598964i
\(708\) −14.6255 9.39922i −0.549659 0.353244i
\(709\) 24.9128 + 4.80155i 0.935620 + 0.180326i 0.634203 0.773167i \(-0.281328\pi\)
0.301417 + 0.953493i \(0.402540\pi\)
\(710\) −2.63040 + 10.8427i −0.0987172 + 0.406918i
\(711\) −0.218128 0.0208287i −0.00818044 0.000781138i
\(712\) −1.99715 3.45916i −0.0748462 0.129637i
\(713\) 10.3415 46.9374i 0.387292 1.75782i
\(714\) 3.53210 + 2.66058i 0.132186 + 0.0995696i
\(715\) 1.37579 + 3.01255i 0.0514515 + 0.112663i
\(716\) −14.5626 13.8854i −0.544230 0.518922i
\(717\) −6.75932 19.5298i −0.252431 0.729353i
\(718\) −5.20235 + 2.68200i −0.194150 + 0.100091i
\(719\) 9.34709 27.0066i 0.348588 1.00718i −0.625347 0.780347i \(-0.715042\pi\)
0.973934 0.226831i \(-0.0728364\pi\)
\(720\) 0.551133 + 3.83321i 0.0205395 + 0.142855i
\(721\) −9.73019 + 1.13395i −0.362371 + 0.0422306i
\(722\) −4.57286 + 2.93880i −0.170184 + 0.109371i
\(723\) 21.7155 8.69356i 0.807607 0.323317i
\(724\) 4.80078 + 6.74176i 0.178420 + 0.250555i
\(725\) −13.4401 18.8739i −0.499152 0.700961i
\(726\) 3.27204 1.30993i 0.121437 0.0486160i
\(727\) 9.13387 5.86998i 0.338756 0.217705i −0.360191 0.932879i \(-0.617289\pi\)
0.698947 + 0.715173i \(0.253652\pi\)
\(728\) −2.23398 + 5.17413i −0.0827969 + 0.191766i
\(729\) −0.142315 0.989821i −0.00527092 0.0366601i
\(730\) 3.45165 9.97289i 0.127751 0.369113i
\(731\) −27.2105 + 14.0280i −1.00642 + 0.518843i
\(732\) −6.97222 20.1449i −0.257701 0.744577i
\(733\) 12.7405 + 12.1480i 0.470581 + 0.448698i 0.887883 0.460070i \(-0.152176\pi\)
−0.417302 + 0.908768i \(0.637024\pi\)
\(734\) 3.34466 + 7.32378i 0.123454 + 0.270326i
\(735\) −9.97790 2.48374i −0.368040 0.0916142i
\(736\) −14.1573 19.0172i −0.521844 0.700982i
\(737\) 8.91966 + 15.4493i 0.328560 + 0.569082i
\(738\) 0.882958 + 0.0843123i 0.0325021 + 0.00310358i
\(739\) −3.31056 + 13.6463i −0.121781 + 0.501988i 0.877949 + 0.478754i \(0.158911\pi\)
−0.999730 + 0.0232341i \(0.992604\pi\)
\(740\) −29.5276 5.69098i −1.08546 0.209205i
\(741\) 2.73832 + 1.75981i 0.100595 + 0.0646483i
\(742\) −5.83086 + 3.92113i −0.214058 + 0.143949i
\(743\) −0.868003 6.03710i −0.0318440 0.221480i 0.967685 0.252161i \(-0.0811413\pi\)
−0.999529 + 0.0306816i \(0.990232\pi\)
\(744\) −4.32516 17.8286i −0.158568 0.653627i
\(745\) 0.746588 + 15.6728i 0.0273529 + 0.574207i
\(746\) −11.1304 8.75301i −0.407512 0.320471i
\(747\) −10.8684 + 1.03781i −0.397655 + 0.0379715i
\(748\) 4.87701 10.6792i 0.178321 0.390469i
\(749\) 0.994784 + 3.75739i 0.0363486 + 0.137292i
\(750\) −4.71380 + 3.02937i −0.172124 + 0.110617i
\(751\) 9.77930 + 40.3108i 0.356852 + 1.47096i 0.813631 + 0.581382i \(0.197488\pi\)
−0.456779 + 0.889580i \(0.650997\pi\)
\(752\) 21.9244 + 8.77721i 0.799501 + 0.320072i
\(753\) −12.0737 + 2.32701i −0.439990 + 0.0848010i
\(754\) −0.219548 + 4.60888i −0.00799547 + 0.167846i
\(755\) −3.57088 + 4.12102i −0.129958 + 0.149979i
\(756\) −4.36648 1.64347i −0.158807 0.0597723i
\(757\) 5.33681 + 11.6860i 0.193970 + 0.424734i 0.981479 0.191568i \(-0.0613572\pi\)
−0.787510 + 0.616302i \(0.788630\pi\)
\(758\) 4.08955 + 7.08331i 0.148539 + 0.257277i
\(759\) 5.22877 7.68140i 0.189792 0.278817i
\(760\) −3.76087 + 6.51401i −0.136421 + 0.236288i
\(761\) 17.9086 25.1491i 0.649187 0.911656i −0.350503 0.936562i \(-0.613989\pi\)
0.999690 + 0.0249062i \(0.00792870\pi\)
\(762\) −0.276663 + 0.0812356i −0.0100224 + 0.00294285i
\(763\) −11.5857 + 2.48414i −0.419431 + 0.0899321i
\(764\) −2.21855 1.42578i −0.0802644 0.0515828i
\(765\) −1.65083 + 4.76976i −0.0596859 + 0.172451i
\(766\) −11.0519 4.42451i −0.399321 0.159864i
\(767\) 8.30294 7.91684i 0.299802 0.285860i
\(768\) 0.220977 + 0.113922i 0.00797383 + 0.00411080i
\(769\) −1.13018 + 7.86055i −0.0407552 + 0.283459i 0.959244 + 0.282578i \(0.0911895\pi\)
−1.00000 0.000880902i \(0.999720\pi\)
\(770\) 0.0980876 3.66139i 0.00353483 0.131947i
\(771\) −4.02649 + 8.81677i −0.145010 + 0.317528i
\(772\) −19.9684 + 7.99412i −0.718677 + 0.287715i
\(773\) −1.34603 28.2566i