Properties

Label 483.2.bf.a.388.23
Level $483$
Weight $2$
Character 483.388
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
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.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 388.23
Character \(\chi\) \(=\) 483.388
Dual form 483.2.bf.a.61.23

$q$-expansion

\(f(q)\) \(=\) \(q+(1.04132 - 0.818906i) q^{2} +(0.814576 - 0.580057i) q^{3} +(-0.0577704 + 0.238133i) q^{4} +(-1.14488 - 0.220658i) q^{5} +(0.373225 - 1.27109i) q^{6} +(1.26894 + 2.32159i) q^{7} +(1.23549 + 2.70535i) q^{8} +(0.327068 - 0.945001i) q^{9} +O(q^{10})\) \(q+(1.04132 - 0.818906i) q^{2} +(0.814576 - 0.580057i) q^{3} +(-0.0577704 + 0.238133i) q^{4} +(-1.14488 - 0.220658i) q^{5} +(0.373225 - 1.27109i) q^{6} +(1.26894 + 2.32159i) q^{7} +(1.23549 + 2.70535i) q^{8} +(0.327068 - 0.945001i) q^{9} +(-1.37289 + 0.707774i) q^{10} +(1.25703 - 1.59844i) q^{11} +(0.0910722 + 0.227487i) q^{12} +(3.57332 - 5.56019i) q^{13} +(3.22254 + 1.37839i) q^{14} +(-1.06059 + 0.484354i) q^{15} +(3.06637 + 1.58082i) q^{16} +(2.95016 - 2.81298i) q^{17} +(-0.433283 - 1.25189i) q^{18} +(5.18103 + 4.94010i) q^{19} +(0.118686 - 0.259886i) q^{20} +(2.38030 + 1.15506i) q^{21} -2.69388i q^{22} +(-3.94228 + 2.73101i) q^{23} +(2.57566 + 1.48706i) q^{24} +(-3.37977 - 1.35306i) q^{25} +(-0.832293 - 8.71617i) q^{26} +(-0.281733 - 0.959493i) q^{27} +(-0.626154 + 0.168056i) q^{28} +(-4.96774 - 1.45866i) q^{29} +(-0.707774 + 1.37289i) q^{30} +(-0.777700 + 8.14444i) q^{31} +(-1.35311 + 0.260790i) q^{32} +(0.0967579 - 2.03120i) q^{33} +(0.768513 - 5.34512i) q^{34} +(-0.940507 - 2.93795i) q^{35} +(0.206141 + 0.132479i) q^{36} +(-1.43231 - 0.495728i) q^{37} +(9.44060 + 0.901468i) q^{38} +(-0.314489 - 6.60193i) q^{39} +(-0.817536 - 3.36993i) q^{40} +(-5.03014 - 4.35865i) q^{41} +(3.42455 - 0.746455i) q^{42} +(-2.80228 - 1.27976i) q^{43} +(0.308022 + 0.391682i) q^{44} +(-0.582976 + 1.00974i) q^{45} +(-1.86875 + 6.07222i) q^{46} +(-5.85817 + 3.38222i) q^{47} +(3.41476 - 0.490968i) q^{48} +(-3.77959 + 5.89192i) q^{49} +(-4.62746 + 1.35875i) q^{50} +(0.771447 - 4.00265i) q^{51} +(1.11763 + 1.17214i) q^{52} +(1.63766 - 0.0780112i) q^{53} +(-1.07911 - 0.768430i) q^{54} +(-1.79186 + 1.55265i) q^{55} +(-4.71296 + 6.30123i) q^{56} +(7.08588 + 1.01880i) q^{57} +(-6.36753 + 2.54918i) q^{58} +(1.95416 + 3.79053i) q^{59} +(-0.0540700 - 0.280542i) q^{60} +(1.82562 - 2.56372i) q^{61} +(5.85969 + 9.11786i) q^{62} +(2.60894 - 0.439829i) q^{63} +(-5.71384 + 6.59412i) q^{64} +(-5.31793 + 5.57729i) q^{65} +(-1.56260 - 2.19437i) q^{66} +(2.21178 - 5.52475i) q^{67} +(0.499430 + 0.865037i) q^{68} +(-1.62715 + 4.51136i) q^{69} +(-3.38528 - 2.28917i) q^{70} +(-1.97528 - 13.7383i) q^{71} +(2.96065 - 0.282708i) q^{72} +(-3.97628 - 0.964634i) q^{73} +(-1.89746 + 0.656716i) q^{74} +(-3.53793 + 0.858293i) q^{75} +(-1.47571 + 0.948381i) q^{76} +(5.30602 + 0.889985i) q^{77} +(-5.73384 - 6.61720i) q^{78} +(4.37827 + 0.208563i) q^{79} +(-3.16181 - 2.48648i) q^{80} +(-0.786053 - 0.618159i) q^{81} +(-8.80732 - 0.419545i) q^{82} +(-5.81782 - 6.71413i) q^{83} +(-0.412568 + 0.500100i) q^{84} +(-3.99830 + 2.56955i) q^{85} +(-3.96608 + 0.962160i) q^{86} +(-4.89271 + 1.69338i) q^{87} +(5.87739 + 1.42584i) q^{88} +(17.3012 - 1.65206i) q^{89} +(0.219819 + 1.52887i) q^{90} +(17.4428 + 1.24025i) q^{91} +(-0.422595 - 1.09656i) q^{92} +(4.09074 + 7.08538i) q^{93} +(-3.33053 + 8.31927i) q^{94} +(-4.84160 - 6.79907i) q^{95} +(-0.950936 + 0.997313i) q^{96} +(3.27804 - 3.78306i) q^{97} +(0.889147 + 9.23052i) q^{98} +(-1.09939 - 1.71069i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{5}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.04132 0.818906i 0.736327 0.579054i −0.178000 0.984030i \(-0.556963\pi\)
0.914327 + 0.404977i \(0.132720\pi\)
\(3\) 0.814576 0.580057i 0.470296 0.334896i
\(4\) −0.0577704 + 0.238133i −0.0288852 + 0.119066i
\(5\) −1.14488 0.220658i −0.512007 0.0986813i −0.0732973 0.997310i \(-0.523352\pi\)
−0.438710 + 0.898629i \(0.644564\pi\)
\(6\) 0.373225 1.27109i 0.152368 0.518919i
\(7\) 1.26894 + 2.32159i 0.479614 + 0.877480i
\(8\) 1.23549 + 2.70535i 0.436812 + 0.956486i
\(9\) 0.327068 0.945001i 0.109023 0.315000i
\(10\) −1.37289 + 0.707774i −0.434146 + 0.223818i
\(11\) 1.25703 1.59844i 0.379008 0.481948i −0.558701 0.829369i \(-0.688700\pi\)
0.937709 + 0.347421i \(0.112943\pi\)
\(12\) 0.0910722 + 0.227487i 0.0262903 + 0.0656699i
\(13\) 3.57332 5.56019i 0.991060 1.54212i 0.159117 0.987260i \(-0.449135\pi\)
0.831944 0.554860i \(-0.187228\pi\)
\(14\) 3.22254 + 1.37839i 0.861260 + 0.368390i
\(15\) −1.06059 + 0.484354i −0.273843 + 0.125060i
\(16\) 3.06637 + 1.58082i 0.766593 + 0.395206i
\(17\) 2.95016 2.81298i 0.715520 0.682247i −0.242110 0.970249i \(-0.577839\pi\)
0.957630 + 0.288002i \(0.0929909\pi\)
\(18\) −0.433283 1.25189i −0.102126 0.295073i
\(19\) 5.18103 + 4.94010i 1.18861 + 1.13334i 0.988127 + 0.153640i \(0.0490997\pi\)
0.200483 + 0.979697i \(0.435749\pi\)
\(20\) 0.118686 0.259886i 0.0265390 0.0581124i
\(21\) 2.38030 + 1.15506i 0.519425 + 0.252054i
\(22\) 2.69388i 0.574337i
\(23\) −3.94228 + 2.73101i −0.822023 + 0.569454i
\(24\) 2.57566 + 1.48706i 0.525754 + 0.303544i
\(25\) −3.37977 1.35306i −0.675955 0.270611i
\(26\) −0.832293 8.71617i −0.163226 1.70938i
\(27\) −0.281733 0.959493i −0.0542195 0.184655i
\(28\) −0.626154 + 0.168056i −0.118332 + 0.0317597i
\(29\) −4.96774 1.45866i −0.922487 0.270867i −0.214199 0.976790i \(-0.568714\pi\)
−0.708288 + 0.705923i \(0.750532\pi\)
\(30\) −0.707774 + 1.37289i −0.129221 + 0.250654i
\(31\) −0.777700 + 8.14444i −0.139679 + 1.46278i 0.605460 + 0.795876i \(0.292989\pi\)
−0.745139 + 0.666909i \(0.767617\pi\)
\(32\) −1.35311 + 0.260790i −0.239198 + 0.0461016i
\(33\) 0.0967579 2.03120i 0.0168434 0.353586i
\(34\) 0.768513 5.34512i 0.131799 0.916681i
\(35\) −0.940507 2.93795i −0.158975 0.496605i
\(36\) 0.206141 + 0.132479i 0.0343568 + 0.0220798i
\(37\) −1.43231 0.495728i −0.235471 0.0814972i 0.206784 0.978387i \(-0.433700\pi\)
−0.442255 + 0.896889i \(0.645821\pi\)
\(38\) 9.44060 + 0.901468i 1.53147 + 0.146237i
\(39\) −0.314489 6.60193i −0.0503585 1.05715i
\(40\) −0.817536 3.36993i −0.129264 0.532832i
\(41\) −5.03014 4.35865i −0.785577 0.680706i 0.166678 0.986011i \(-0.446696\pi\)
−0.952254 + 0.305305i \(0.901241\pi\)
\(42\) 3.42455 0.746455i 0.528419 0.115180i
\(43\) −2.80228 1.27976i −0.427343 0.195161i 0.190120 0.981761i \(-0.439112\pi\)
−0.617463 + 0.786600i \(0.711840\pi\)
\(44\) 0.308022 + 0.391682i 0.0464361 + 0.0590482i
\(45\) −0.582976 + 1.00974i −0.0869050 + 0.150524i
\(46\) −1.86875 + 6.07222i −0.275533 + 0.895300i
\(47\) −5.85817 + 3.38222i −0.854503 + 0.493347i −0.862167 0.506623i \(-0.830893\pi\)
0.00766493 + 0.999971i \(0.497560\pi\)
\(48\) 3.41476 0.490968i 0.492878 0.0708652i
\(49\) −3.77959 + 5.89192i −0.539942 + 0.841702i
\(50\) −4.62746 + 1.35875i −0.654422 + 0.192156i
\(51\) 0.771447 4.00265i 0.108024 0.560483i
\(52\) 1.11763 + 1.17214i 0.154988 + 0.162546i
\(53\) 1.63766 0.0780112i 0.224949 0.0107157i 0.0651954 0.997873i \(-0.479233\pi\)
0.159754 + 0.987157i \(0.448930\pi\)
\(54\) −1.07911 0.768430i −0.146848 0.104570i
\(55\) −1.79186 + 1.55265i −0.241614 + 0.209360i
\(56\) −4.71296 + 6.30123i −0.629796 + 0.842037i
\(57\) 7.08588 + 1.01880i 0.938548 + 0.134943i
\(58\) −6.36753 + 2.54918i −0.836098 + 0.334723i
\(59\) 1.95416 + 3.79053i 0.254409 + 0.493485i 0.981105 0.193474i \(-0.0619754\pi\)
−0.726696 + 0.686959i \(0.758945\pi\)
\(60\) −0.0540700 0.280542i −0.00698041 0.0362178i
\(61\) 1.82562 2.56372i 0.233746 0.328250i −0.680997 0.732286i \(-0.738453\pi\)
0.914743 + 0.404036i \(0.132393\pi\)
\(62\) 5.85969 + 9.11786i 0.744182 + 1.15797i
\(63\) 2.60894 0.439829i 0.328695 0.0554132i
\(64\) −5.71384 + 6.59412i −0.714229 + 0.824265i
\(65\) −5.31793 + 5.57729i −0.659608 + 0.691777i
\(66\) −1.56260 2.19437i −0.192343 0.270108i
\(67\) 2.21178 5.52475i 0.270211 0.674956i −0.729750 0.683714i \(-0.760364\pi\)
0.999962 + 0.00875832i \(0.00278790\pi\)
\(68\) 0.499430 + 0.865037i 0.0605647 + 0.104901i
\(69\) −1.62715 + 4.51136i −0.195886 + 0.543104i
\(70\) −3.38528 2.28917i −0.404618 0.273608i
\(71\) −1.97528 13.7383i −0.234422 1.63044i −0.678604 0.734505i \(-0.737415\pi\)
0.444182 0.895937i \(-0.353494\pi\)
\(72\) 2.96065 0.282708i 0.348916 0.0333174i
\(73\) −3.97628 0.964634i −0.465388 0.112902i −0.00379312 0.999993i \(-0.501207\pi\)
−0.461595 + 0.887091i \(0.652723\pi\)
\(74\) −1.89746 + 0.656716i −0.220575 + 0.0763417i
\(75\) −3.53793 + 0.858293i −0.408525 + 0.0991072i
\(76\) −1.47571 + 0.948381i −0.169276 + 0.108787i
\(77\) 5.30602 + 0.889985i 0.604677 + 0.101423i
\(78\) −5.73384 6.61720i −0.649229 0.749251i
\(79\) 4.37827 + 0.208563i 0.492594 + 0.0234651i 0.292410 0.956293i \(-0.405543\pi\)
0.200184 + 0.979758i \(0.435846\pi\)
\(80\) −3.16181 2.48648i −0.353501 0.277997i
\(81\) −0.786053 0.618159i −0.0873392 0.0686843i
\(82\) −8.80732 0.419545i −0.972606 0.0463309i
\(83\) −5.81782 6.71413i −0.638589 0.736971i 0.340536 0.940232i \(-0.389392\pi\)
−0.979125 + 0.203261i \(0.934846\pi\)
\(84\) −0.412568 + 0.500100i −0.0450149 + 0.0545654i
\(85\) −3.99830 + 2.56955i −0.433676 + 0.278707i
\(86\) −3.96608 + 0.962160i −0.427673 + 0.103752i
\(87\) −4.89271 + 1.69338i −0.524554 + 0.181550i
\(88\) 5.87739 + 1.42584i 0.626532 + 0.151995i
\(89\) 17.3012 1.65206i 1.83392 0.175118i 0.879959 0.475050i \(-0.157570\pi\)
0.953961 + 0.299932i \(0.0969641\pi\)
\(90\) 0.219819 + 1.52887i 0.0231709 + 0.161157i
\(91\) 17.4428 + 1.24025i 1.82851 + 0.130014i
\(92\) −0.422595 1.09656i −0.0440586 0.114324i
\(93\) 4.09074 + 7.08538i 0.424190 + 0.734719i
\(94\) −3.33053 + 8.31927i −0.343518 + 0.858068i
\(95\) −4.84160 6.79907i −0.496737 0.697570i
\(96\) −0.950936 + 0.997313i −0.0970545 + 0.101788i
\(97\) 3.27804 3.78306i 0.332834 0.384111i −0.564522 0.825418i \(-0.690939\pi\)
0.897356 + 0.441307i \(0.145485\pi\)
\(98\) 0.889147 + 9.23052i 0.0898174 + 0.932423i
\(99\) −1.09939 1.71069i −0.110493 0.171931i
\(100\) 0.517458 0.726668i 0.0517458 0.0726668i
\(101\) −1.74209 9.03882i −0.173344 0.899396i −0.959573 0.281460i \(-0.909181\pi\)
0.786228 0.617936i \(-0.212031\pi\)
\(102\) −2.47446 4.79979i −0.245008 0.475250i
\(103\) −12.6173 + 5.05119i −1.24322 + 0.497709i −0.897660 0.440689i \(-0.854734\pi\)
−0.345556 + 0.938398i \(0.612310\pi\)
\(104\) 19.4571 + 2.79750i 1.90792 + 0.274318i
\(105\) −2.47029 1.84764i −0.241076 0.180311i
\(106\) 1.64145 1.42232i 0.159431 0.138148i
\(107\) −3.20564 2.28272i −0.309900 0.220679i 0.414515 0.910042i \(-0.363951\pi\)
−0.724416 + 0.689363i \(0.757890\pi\)
\(108\) 0.244762 0.0116595i 0.0235523 0.00112193i
\(109\) −5.68391 5.96111i −0.544419 0.570971i 0.392838 0.919607i \(-0.371493\pi\)
−0.937258 + 0.348637i \(0.886645\pi\)
\(110\) −0.594426 + 3.08418i −0.0566763 + 0.294065i
\(111\) −1.45428 + 0.427015i −0.138034 + 0.0405304i
\(112\) 0.221004 + 9.12484i 0.0208829 + 0.862216i
\(113\) −10.3388 + 1.48649i −0.972588 + 0.139837i −0.610249 0.792209i \(-0.708931\pi\)
−0.362339 + 0.932047i \(0.618022\pi\)
\(114\) 8.21299 4.74177i 0.769217 0.444108i
\(115\) 5.11607 2.25679i 0.477076 0.210446i
\(116\) 0.634343 1.09871i 0.0588973 0.102013i
\(117\) −4.08567 5.19535i −0.377720 0.480310i
\(118\) 5.13900 + 2.34690i 0.473083 + 0.216050i
\(119\) 10.2742 + 3.27959i 0.941831 + 0.300640i
\(120\) −2.62070 2.27085i −0.239236 0.207299i
\(121\) 1.61845 + 6.67136i 0.147132 + 0.606487i
\(122\) −0.198387 4.16466i −0.0179612 0.377051i
\(123\) −6.62570 0.632677i −0.597419 0.0570466i
\(124\) −1.89453 0.655703i −0.170134 0.0588839i
\(125\) 8.47519 + 5.44667i 0.758044 + 0.487165i
\(126\) 2.35657 2.59448i 0.209940 0.231134i
\(127\) −2.51097 + 17.4642i −0.222813 + 1.54970i 0.504513 + 0.863404i \(0.331672\pi\)
−0.727325 + 0.686293i \(0.759237\pi\)
\(128\) −0.418853 + 8.79280i −0.0370217 + 0.777181i
\(129\) −3.02500 + 0.583021i −0.266336 + 0.0513321i
\(130\) −0.970414 + 10.1626i −0.0851110 + 0.891322i
\(131\) −0.905714 + 1.75684i −0.0791326 + 0.153496i −0.925082 0.379767i \(-0.876004\pi\)
0.845950 + 0.533263i \(0.179034\pi\)
\(132\) 0.478105 + 0.140384i 0.0416137 + 0.0122189i
\(133\) −4.89450 + 18.2969i −0.424407 + 1.58655i
\(134\) −2.22107 7.56428i −0.191872 0.653455i
\(135\) 0.110831 + 1.16067i 0.00953880 + 0.0998948i
\(136\) 11.2550 + 4.50582i 0.965107 + 0.386371i
\(137\) 3.58154 + 2.06781i 0.305992 + 0.176665i 0.645132 0.764072i \(-0.276803\pi\)
−0.339140 + 0.940736i \(0.610136\pi\)
\(138\) 1.99999 + 6.03027i 0.170251 + 0.513330i
\(139\) 9.77022i 0.828700i −0.910118 0.414350i \(-0.864009\pi\)
0.910118 0.414350i \(-0.135991\pi\)
\(140\) 0.753956 0.0542388i 0.0637209 0.00458401i
\(141\) −2.81005 + 6.15315i −0.236649 + 0.518189i
\(142\) −13.3073 12.6885i −1.11672 1.06479i
\(143\) −4.39588 12.7011i −0.367602 1.06212i
\(144\) 2.49679 2.38069i 0.208066 0.198391i
\(145\) 5.36562 + 2.76617i 0.445590 + 0.229718i
\(146\) −4.93053 + 2.25170i −0.408054 + 0.186352i
\(147\) 0.338882 + 6.99179i 0.0279505 + 0.576673i
\(148\) 0.200794 0.312442i 0.0165052 0.0256826i
\(149\) −2.78572 6.95840i −0.228215 0.570054i 0.769423 0.638739i \(-0.220544\pi\)
−0.997638 + 0.0686854i \(0.978120\pi\)
\(150\) −2.98127 + 3.79099i −0.243420 + 0.309533i
\(151\) −15.2316 + 7.85244i −1.23953 + 0.639022i −0.948222 0.317607i \(-0.897121\pi\)
−0.291308 + 0.956629i \(0.594090\pi\)
\(152\) −6.96359 + 20.1200i −0.564821 + 1.63194i
\(153\) −1.69336 3.70794i −0.136900 0.299769i
\(154\) 6.25409 3.41837i 0.503969 0.275460i
\(155\) 2.68751 9.15282i 0.215866 0.735172i
\(156\) 1.59030 + 0.306506i 0.127326 + 0.0245401i
\(157\) −2.96536 + 12.2234i −0.236661 + 0.975532i 0.722206 + 0.691678i \(0.243128\pi\)
−0.958868 + 0.283854i \(0.908387\pi\)
\(158\) 4.72998 3.36821i 0.376297 0.267960i
\(159\) 1.28874 1.01348i 0.102204 0.0803742i
\(160\) 1.60669 0.127020
\(161\) −11.3428 5.68690i −0.893938 0.448190i
\(162\) −1.32475 −0.104082
\(163\) −4.55686 + 3.58356i −0.356921 + 0.280686i −0.780477 0.625184i \(-0.785024\pi\)
0.423557 + 0.905870i \(0.360782\pi\)
\(164\) 1.32853 0.946041i 0.103741 0.0738734i
\(165\) −0.558977 + 2.30413i −0.0435163 + 0.179377i
\(166\) −11.5565 2.22733i −0.896956 0.172874i
\(167\) 6.87265 23.4061i 0.531822 1.81122i −0.0511043 0.998693i \(-0.516274\pi\)
0.582926 0.812525i \(-0.301908\pi\)
\(168\) −0.183991 + 7.86662i −0.0141952 + 0.606923i
\(169\) −12.7467 27.9115i −0.980519 2.14704i
\(170\) −2.05930 + 5.94996i −0.157941 + 0.456341i
\(171\) 6.36295 3.28033i 0.486587 0.250853i
\(172\) 0.466641 0.593382i 0.0355810 0.0452449i
\(173\) 2.08977 + 5.22000i 0.158883 + 0.396869i 0.986354 0.164638i \(-0.0526457\pi\)
−0.827471 + 0.561508i \(0.810221\pi\)
\(174\) −3.70817 + 5.77003i −0.281116 + 0.437425i
\(175\) −1.14747 9.56341i −0.0867409 0.722926i
\(176\) 6.38137 2.91427i 0.481014 0.219672i
\(177\) 3.79053 + 1.95416i 0.284914 + 0.146883i
\(178\) 16.6632 15.8883i 1.24896 1.19088i
\(179\) 5.50142 + 15.8953i 0.411196 + 1.18807i 0.940545 + 0.339668i \(0.110315\pi\)
−0.529350 + 0.848404i \(0.677564\pi\)
\(180\) −0.206774 0.197159i −0.0154121 0.0146954i
\(181\) −0.155610 + 0.340739i −0.0115664 + 0.0253269i −0.915327 0.402711i \(-0.868068\pi\)
0.903761 + 0.428038i \(0.140795\pi\)
\(182\) 19.1793 12.9925i 1.42166 0.963070i
\(183\) 3.14730i 0.232655i
\(184\) −12.2590 7.29112i −0.903745 0.537508i
\(185\) 1.53044 + 0.883602i 0.112520 + 0.0649637i
\(186\) 10.0620 + 4.02823i 0.737785 + 0.295364i
\(187\) −0.787937 8.25165i −0.0576197 0.603421i
\(188\) −0.466988 1.59041i −0.0340586 0.115993i
\(189\) 1.87005 1.87161i 0.136026 0.136139i
\(190\) −10.6095 3.11522i −0.769692 0.226002i
\(191\) −8.95947 + 17.3789i −0.648284 + 1.25750i 0.304113 + 0.952636i \(0.401640\pi\)
−0.952397 + 0.304860i \(0.901390\pi\)
\(192\) −0.829389 + 8.68576i −0.0598560 + 0.626841i
\(193\) −3.33841 + 0.643425i −0.240304 + 0.0463148i −0.307981 0.951393i \(-0.599653\pi\)
0.0676772 + 0.997707i \(0.478441\pi\)
\(194\) 0.315530 6.62379i 0.0226537 0.475560i
\(195\) −1.09672 + 7.62783i −0.0785374 + 0.546240i
\(196\) −1.18471 1.24042i −0.0846221 0.0886016i
\(197\) 10.0965 + 6.48865i 0.719349 + 0.462297i 0.848410 0.529339i \(-0.177560\pi\)
−0.129062 + 0.991637i \(0.541196\pi\)
\(198\) −2.54572 0.881082i −0.180916 0.0626158i
\(199\) 25.4544 + 2.43060i 1.80441 + 0.172300i 0.942378 0.334551i \(-0.108585\pi\)
0.862034 + 0.506851i \(0.169191\pi\)
\(200\) −0.515190 10.8152i −0.0364294 0.764747i
\(201\) −1.40301 5.78328i −0.0989607 0.407921i
\(202\) −9.21602 7.98573i −0.648437 0.561874i
\(203\) −2.91734 13.3840i −0.204757 0.939375i
\(204\) 0.908594 + 0.414941i 0.0636143 + 0.0290517i
\(205\) 4.79715 + 6.10008i 0.335048 + 0.426048i
\(206\) −9.00220 + 15.5923i −0.627213 + 1.08637i
\(207\) 1.29141 + 4.61869i 0.0897592 + 0.321021i
\(208\) 19.7468 11.4008i 1.36920 0.790505i
\(209\) 14.4092 2.07172i 0.996702 0.143304i
\(210\) −4.08542 + 0.0989490i −0.281920 + 0.00682813i
\(211\) 21.7885 6.39768i 1.49998 0.440434i 0.574271 0.818665i \(-0.305286\pi\)
0.925711 + 0.378231i \(0.123467\pi\)
\(212\) −0.0760310 + 0.394486i −0.00522183 + 0.0270934i
\(213\) −9.57803 10.0452i −0.656276 0.688282i
\(214\) −5.20744 + 0.248061i −0.355973 + 0.0169571i
\(215\) 2.92589 + 2.08352i 0.199544 + 0.142095i
\(216\) 2.24769 1.94763i 0.152936 0.132519i
\(217\) −19.8949 + 8.52929i −1.35056 + 0.579006i
\(218\) −10.8004 1.55286i −0.731493 0.105173i
\(219\) −3.79852 + 1.52070i −0.256680 + 0.102759i
\(220\) −0.266221 0.516397i −0.0179486 0.0348155i
\(221\) −5.09881 26.4551i −0.342983 1.77957i
\(222\) −1.16469 + 1.63558i −0.0781688 + 0.109773i
\(223\) −1.28874 2.00532i −0.0863006 0.134286i 0.795420 0.606059i \(-0.207251\pi\)
−0.881720 + 0.471773i \(0.843614\pi\)
\(224\) −2.32246 2.81044i −0.155176 0.187780i
\(225\) −2.38406 + 2.75135i −0.158937 + 0.183423i
\(226\) −9.54869 + 10.0144i −0.635169 + 0.666146i
\(227\) 10.5898 + 14.8713i 0.702871 + 0.987045i 0.999486 + 0.0320476i \(0.0102028\pi\)
−0.296615 + 0.954997i \(0.595858\pi\)
\(228\) −0.651963 + 1.62852i −0.0431773 + 0.107852i
\(229\) 5.96448 + 10.3308i 0.394144 + 0.682678i 0.992992 0.118186i \(-0.0377078\pi\)
−0.598847 + 0.800863i \(0.704374\pi\)
\(230\) 3.47939 6.53962i 0.229424 0.431210i
\(231\) 4.83840 2.35283i 0.318343 0.154805i
\(232\) −2.19142 15.2417i −0.143874 1.00066i
\(233\) −14.6794 + 1.40171i −0.961680 + 0.0918293i −0.564071 0.825726i \(-0.690766\pi\)
−0.397608 + 0.917555i \(0.630160\pi\)
\(234\) −8.50900 2.06426i −0.556251 0.134945i
\(235\) 7.45323 2.57959i 0.486195 0.168274i
\(236\) −1.01554 + 0.246368i −0.0661061 + 0.0160372i
\(237\) 3.68741 2.36975i 0.239523 0.153932i
\(238\) 13.3844 4.99846i 0.867582 0.324002i
\(239\) −5.21409 6.01738i −0.337272 0.389232i 0.561626 0.827391i \(-0.310176\pi\)
−0.898897 + 0.438159i \(0.855631\pi\)
\(240\) −4.01784 0.191393i −0.259350 0.0123544i
\(241\) 5.03709 + 3.96121i 0.324467 + 0.255164i 0.767084 0.641547i \(-0.221707\pi\)
−0.442616 + 0.896711i \(0.645950\pi\)
\(242\) 7.14855 + 5.62168i 0.459526 + 0.361375i
\(243\) −0.998867 0.0475819i −0.0640774 0.00305238i
\(244\) 0.505038 + 0.582845i 0.0323318 + 0.0373129i
\(245\) 5.62729 5.91155i 0.359514 0.377675i
\(246\) −7.41759 + 4.76700i −0.472929 + 0.303933i
\(247\) 45.9814 11.1550i 2.92573 0.709774i
\(248\) −22.9944 + 7.95844i −1.46015 + 0.505361i
\(249\) −8.63363 2.09450i −0.547134 0.132733i
\(250\) 13.2857 1.26863i 0.840263 0.0802354i
\(251\) 2.16762 + 15.0761i 0.136819 + 0.951597i 0.936374 + 0.351004i \(0.114160\pi\)
−0.799555 + 0.600593i \(0.794931\pi\)
\(252\) −0.0459816 + 0.646682i −0.00289657 + 0.0407371i
\(253\) −0.590206 + 9.73446i −0.0371059 + 0.612000i
\(254\) 11.6868 + 20.2421i 0.733295 + 1.27010i
\(255\) −1.76643 + 4.41233i −0.110618 + 0.276311i
\(256\) −3.35799 4.71564i −0.209875 0.294728i
\(257\) 1.85696 1.94752i 0.115834 0.121483i −0.663264 0.748386i \(-0.730829\pi\)
0.779098 + 0.626903i \(0.215678\pi\)
\(258\) −2.67256 + 3.08430i −0.166387 + 0.192020i
\(259\) −0.666637 3.95430i −0.0414228 0.245708i
\(260\) −1.02092 1.58857i −0.0633145 0.0985192i
\(261\) −3.00323 + 4.21744i −0.185895 + 0.261053i
\(262\) 0.495545 + 2.57113i 0.0306149 + 0.158845i
\(263\) 2.66752 + 5.17426i 0.164486 + 0.319059i 0.956645 0.291256i \(-0.0940732\pi\)
−0.792159 + 0.610315i \(0.791043\pi\)
\(264\) 5.61465 2.24777i 0.345558 0.138340i
\(265\) −1.89214 0.272048i −0.116233 0.0167118i
\(266\) 9.88670 + 23.0612i 0.606192 + 1.41397i
\(267\) 13.1348 11.3814i 0.803838 0.696529i
\(268\) 1.18785 + 0.845863i 0.0725594 + 0.0516693i
\(269\) −20.1412 + 0.959444i −1.22803 + 0.0584984i −0.651546 0.758609i \(-0.725879\pi\)
−0.576485 + 0.817107i \(0.695576\pi\)
\(270\) 1.06589 + 1.11788i 0.0648681 + 0.0680318i
\(271\) 1.07096 5.55665i 0.0650559 0.337542i −0.934788 0.355206i \(-0.884411\pi\)
0.999844 + 0.0176638i \(0.00562284\pi\)
\(272\) 13.4931 3.96194i 0.818141 0.240228i
\(273\) 14.9279 9.10755i 0.903479 0.551214i
\(274\) 5.42288 0.779693i 0.327608 0.0471030i
\(275\) −6.41125 + 3.70154i −0.386613 + 0.223211i
\(276\) −0.980302 0.648100i −0.0590072 0.0390111i
\(277\) −6.18209 + 10.7077i −0.371446 + 0.643363i −0.989788 0.142546i \(-0.954471\pi\)
0.618342 + 0.785909i \(0.287805\pi\)
\(278\) −8.00089 10.1740i −0.479861 0.610194i
\(279\) 7.44214 + 3.39871i 0.445549 + 0.203476i
\(280\) 6.78620 6.17422i 0.405553 0.368980i
\(281\) 0.991091 + 0.858785i 0.0591235 + 0.0512308i 0.683921 0.729556i \(-0.260273\pi\)
−0.624798 + 0.780787i \(0.714819\pi\)
\(282\) 2.11268 + 8.70858i 0.125808 + 0.518588i
\(283\) −1.34141 28.1596i −0.0797384 1.67392i −0.585065 0.810987i \(-0.698931\pi\)
0.505326 0.862928i \(-0.331372\pi\)
\(284\) 3.38566 + 0.323291i 0.200902 + 0.0191838i
\(285\) −7.88770 2.72996i −0.467227 0.161709i
\(286\) −14.9785 9.62609i −0.885697 0.569203i
\(287\) 3.73606 17.2088i 0.220533 1.01580i
\(288\) −0.196111 + 1.36398i −0.0115560 + 0.0803735i
\(289\) −0.0182567 + 0.383254i −0.00107392 + 0.0225444i
\(290\) 7.85257 1.51346i 0.461119 0.0888734i
\(291\) 0.475822 4.98303i 0.0278932 0.292111i
\(292\) 0.459422 0.891154i 0.0268856 0.0521508i
\(293\) −10.6541 3.12832i −0.622418 0.182758i −0.0447074 0.999000i \(-0.514236\pi\)
−0.577711 + 0.816242i \(0.696054\pi\)
\(294\) 6.07850 + 7.00320i 0.354506 + 0.408435i
\(295\) −1.40087 4.77091i −0.0815616 0.277773i
\(296\) −0.428492 4.48738i −0.0249056 0.260823i
\(297\) −1.88784 0.755776i −0.109543 0.0438546i
\(298\) −8.59910 4.96470i −0.498133 0.287597i
\(299\) 1.09789 + 31.6786i 0.0634928 + 1.83202i
\(300\) 0.892081i 0.0515043i
\(301\) −0.584841 8.12968i −0.0337097 0.468587i
\(302\) −9.43061 + 20.6502i −0.542671 + 1.18828i
\(303\) −6.66210 6.35230i −0.382727 0.364930i
\(304\) 8.07753 + 23.3385i 0.463278 + 1.33855i
\(305\) −2.65582 + 2.53232i −0.152072 + 0.145000i
\(306\) −4.79979 2.47446i −0.274386 0.141456i
\(307\) 21.4821 9.81054i 1.22605 0.559917i 0.306115 0.951994i \(-0.400971\pi\)
0.919932 + 0.392077i \(0.128243\pi\)
\(308\) −0.518465 + 1.21212i −0.0295423 + 0.0690670i
\(309\) −7.34774 + 11.4333i −0.417999 + 0.650418i
\(310\) −4.69673 11.7319i −0.266756 0.666325i
\(311\) 8.49429 10.8014i 0.481667 0.612489i −0.483110 0.875560i \(-0.660493\pi\)
0.964777 + 0.263071i \(0.0847352\pi\)
\(312\) 17.4720 9.00743i 0.989156 0.509945i
\(313\) 3.70367 10.7010i 0.209344 0.604859i −0.790629 0.612296i \(-0.790246\pi\)
0.999972 + 0.00743727i \(0.00236738\pi\)
\(314\) 6.92190 + 15.1568i 0.390625 + 0.855350i
\(315\) −3.08398 0.0721306i −0.173762 0.00406410i
\(316\) −0.302600 + 1.03056i −0.0170226 + 0.0579735i
\(317\) 18.0513 + 3.47910i 1.01386 + 0.195405i 0.669011 0.743253i \(-0.266718\pi\)
0.344849 + 0.938658i \(0.387930\pi\)
\(318\) 0.512055 2.11072i 0.0287146 0.118363i
\(319\) −8.57617 + 6.10707i −0.480174 + 0.341930i
\(320\) 7.99671 6.28869i 0.447030 0.351548i
\(321\) −3.93534 −0.219649
\(322\) −16.4686 + 3.36678i −0.917757 + 0.187624i
\(323\) 29.1813 1.62369
\(324\) 0.192614 0.151474i 0.0107008 0.00841520i
\(325\) −19.6003 + 13.9573i −1.08723 + 0.774211i
\(326\) −1.81057 + 7.46328i −0.100278 + 0.413353i
\(327\) −8.08776 1.55879i −0.447254 0.0862011i
\(328\) 5.57696 18.9934i 0.307936 1.04873i
\(329\) −15.2858 9.30847i −0.842733 0.513193i
\(330\) 1.30479 + 2.85710i 0.0718264 + 0.157278i
\(331\) −3.83362 + 11.0765i −0.210715 + 0.608821i −0.999986 0.00522346i \(-0.998337\pi\)
0.789271 + 0.614045i \(0.210459\pi\)
\(332\) 1.93495 0.997536i 0.106194 0.0547469i
\(333\) −0.936927 + 1.19140i −0.0513433 + 0.0652883i
\(334\) −12.0107 30.0014i −0.657198 1.64160i
\(335\) −3.75130 + 5.83714i −0.204956 + 0.318917i
\(336\) 5.47295 + 7.30468i 0.298574 + 0.398503i
\(337\) 28.3486 12.9464i 1.54425 0.705234i 0.552508 0.833507i \(-0.313671\pi\)
0.991739 + 0.128273i \(0.0409434\pi\)
\(338\) −36.1303 18.6265i −1.96523 1.01315i
\(339\) −7.55945 + 7.20792i −0.410573 + 0.391481i
\(340\) −0.380911 1.10057i −0.0206578 0.0596867i
\(341\) 12.0408 + 11.4809i 0.652047 + 0.621725i
\(342\) 3.93961 8.62654i 0.213030 0.466470i
\(343\) −18.4747 1.29820i −0.997540 0.0700961i
\(344\) 9.16227i 0.493997i
\(345\) 2.85836 4.80593i 0.153889 0.258743i
\(346\) 6.45082 + 3.72438i 0.346798 + 0.200224i
\(347\) −16.8846 6.75955i −0.906410 0.362872i −0.128838 0.991666i \(-0.541125\pi\)
−0.777572 + 0.628794i \(0.783549\pi\)
\(348\) −0.120596 1.26294i −0.00646464 0.0677008i
\(349\) −4.62288 15.7441i −0.247457 0.842762i −0.985741 0.168271i \(-0.946182\pi\)
0.738284 0.674491i \(-0.235637\pi\)
\(350\) −9.02642 9.01892i −0.482482 0.482082i
\(351\) −6.34169 1.86209i −0.338494 0.0993909i
\(352\) −1.28404 + 2.49068i −0.0684393 + 0.132754i
\(353\) 3.30300 34.5906i 0.175801 1.84107i −0.291014 0.956719i \(-0.593993\pi\)
0.466816 0.884355i \(-0.345401\pi\)
\(354\) 5.54744 1.06918i 0.294843 0.0568263i
\(355\) −0.770017 + 16.1646i −0.0408683 + 0.857930i
\(356\) −0.606085 + 4.21541i −0.0321224 + 0.223416i
\(357\) 10.2714 3.28812i 0.543622 0.174026i
\(358\) 18.7455 + 12.0470i 0.990732 + 0.636705i
\(359\) 18.9202 + 6.54834i 0.998570 + 0.345608i 0.776976 0.629531i \(-0.216753\pi\)
0.221594 + 0.975139i \(0.428874\pi\)
\(360\) −3.45197 0.329624i −0.181935 0.0173727i
\(361\) 1.53441 + 32.2112i 0.0807583 + 1.69532i
\(362\) 0.116992 + 0.482249i 0.00614898 + 0.0253465i
\(363\) 5.18812 + 4.49553i 0.272306 + 0.235954i
\(364\) −1.30302 + 4.08206i −0.0682970 + 0.213958i
\(365\) 4.33951 + 1.98179i 0.227140 + 0.103732i
\(366\) −2.57734 3.27736i −0.134720 0.171310i
\(367\) 17.0865 29.5946i 0.891907 1.54483i 0.0543194 0.998524i \(-0.482701\pi\)
0.837587 0.546304i \(-0.183966\pi\)
\(368\) −16.4057 + 2.14223i −0.855209 + 0.111671i
\(369\) −5.76412 + 3.32792i −0.300068 + 0.173244i
\(370\) 2.31727 0.333174i 0.120469 0.0173209i
\(371\) 2.25920 + 3.70298i 0.117292 + 0.192249i
\(372\) −1.92358 + 0.564815i −0.0997331 + 0.0292843i
\(373\) 1.06590 5.53040i 0.0551901 0.286353i −0.943839 0.330405i \(-0.892815\pi\)
0.999029 + 0.0440519i \(0.0140267\pi\)
\(374\) −7.57782 7.94739i −0.391840 0.410950i
\(375\) 10.0631 0.479363i 0.519655 0.0247542i
\(376\) −16.3878 11.6697i −0.845137 0.601819i
\(377\) −25.8618 + 22.4094i −1.33195 + 1.15414i
\(378\) 0.414659 3.48034i 0.0213278 0.179009i
\(379\) 30.5279 + 4.38925i 1.56811 + 0.225460i 0.870920 0.491424i \(-0.163524\pi\)
0.697192 + 0.716885i \(0.254433\pi\)
\(380\) 1.89878 0.760158i 0.0974055 0.0389953i
\(381\) 8.08485 + 15.6824i 0.414199 + 0.803435i
\(382\) 4.90201 + 25.4341i 0.250809 + 1.30132i
\(383\) −14.4871 + 20.3443i −0.740255 + 1.03954i 0.257066 + 0.966394i \(0.417244\pi\)
−0.997321 + 0.0731493i \(0.976695\pi\)
\(384\) 4.75914 + 7.40536i 0.242864 + 0.377903i
\(385\) −5.87839 2.18974i −0.299590 0.111600i
\(386\) −2.94946 + 3.40385i −0.150123 + 0.173252i
\(387\) −2.12591 + 2.22959i −0.108066 + 0.113336i
\(388\) 0.711496 + 0.999156i 0.0361207 + 0.0507245i
\(389\) −13.4374 + 33.5651i −0.681304 + 1.70182i 0.0305925 + 0.999532i \(0.490261\pi\)
−0.711897 + 0.702284i \(0.752164\pi\)
\(390\) 5.10443 + 8.84114i 0.258473 + 0.447688i
\(391\) −3.94813 + 19.1465i −0.199665 + 0.968279i
\(392\) −20.6094 2.94570i −1.04093 0.148780i
\(393\) 0.281294 + 1.95644i 0.0141894 + 0.0986896i
\(394\) 15.8274 1.51133i 0.797371 0.0761397i
\(395\) −4.96658 1.20488i −0.249896 0.0606241i
\(396\) 0.470884 0.162974i 0.0236628 0.00818977i
\(397\) 21.2662 5.15914i 1.06732 0.258930i 0.336630 0.941637i \(-0.390713\pi\)
0.730692 + 0.682707i \(0.239198\pi\)
\(398\) 28.4966 18.3137i 1.42841 0.917982i
\(399\) 6.62632 + 17.7433i 0.331731 + 0.888278i
\(400\) −8.22470 9.49181i −0.411235 0.474590i
\(401\) −4.01162 0.191097i −0.200331 0.00954293i −0.0528233 0.998604i \(-0.516822\pi\)
−0.147507 + 0.989061i \(0.547125\pi\)
\(402\) −6.19695 4.87333i −0.309076 0.243060i
\(403\) 42.5057 + 33.4268i 2.11736 + 1.66511i
\(404\) 2.25308 + 0.107327i 0.112095 + 0.00533974i
\(405\) 0.763537 + 0.881168i 0.0379404 + 0.0437856i
\(406\) −13.9982 11.5481i −0.694717 0.573121i
\(407\) −2.59285 + 1.66632i −0.128523 + 0.0825966i
\(408\) 11.7817 2.85820i 0.583280 0.141502i
\(409\) −15.4501 + 5.34734i −0.763960 + 0.264409i −0.681138 0.732155i \(-0.738515\pi\)
−0.0828222 + 0.996564i \(0.526393\pi\)
\(410\) 9.99077 + 2.42374i 0.493409 + 0.119700i
\(411\) 4.11688 0.393115i 0.203071 0.0193909i
\(412\) −0.473950 3.29639i −0.0233498 0.162402i
\(413\) −6.32037 + 9.34671i −0.311005 + 0.459921i
\(414\) 5.12704 + 3.75200i 0.251980 + 0.184401i
\(415\) 5.17920 + 8.97063i 0.254237 + 0.440351i
\(416\) −3.38504 + 8.45542i −0.165965 + 0.414561i
\(417\) −5.66729 7.95859i −0.277528 0.389734i
\(418\) 13.3080 13.9571i 0.650918 0.682663i
\(419\) −6.42168 + 7.41102i −0.313720 + 0.362052i −0.890608 0.454771i \(-0.849721\pi\)
0.576889 + 0.816823i \(0.304267\pi\)
\(420\) 0.582693 0.481519i 0.0284325 0.0234957i
\(421\) 2.65824 + 4.13630i 0.129555 + 0.201591i 0.899971 0.435951i \(-0.143588\pi\)
−0.770416 + 0.637542i \(0.779951\pi\)
\(422\) 17.4498 24.5048i 0.849442 1.19287i
\(423\) 1.28018 + 6.64219i 0.0622444 + 0.322955i
\(424\) 2.23436 + 4.33405i 0.108510 + 0.210480i
\(425\) −13.7770 + 5.51548i −0.668283 + 0.267540i
\(426\) −18.1999 2.61674i −0.881786 0.126782i
\(427\) 8.26850 + 0.985137i 0.400141 + 0.0476741i
\(428\) 0.728781 0.631493i 0.0352270 0.0305244i
\(429\) −10.9481 7.79611i −0.528580 0.376400i
\(430\) 4.75300 0.226413i 0.229210 0.0109186i
\(431\) −14.3452 15.0448i −0.690985 0.724684i 0.281005 0.959706i \(-0.409332\pi\)
−0.971990 + 0.235022i \(0.924484\pi\)
\(432\) 0.652893 3.38753i 0.0314123 0.162983i
\(433\) 11.0261 3.23757i 0.529882 0.155587i −0.00583808 0.999983i \(-0.501858\pi\)
0.535720 + 0.844395i \(0.320040\pi\)
\(434\) −13.7324 + 25.1738i −0.659175 + 1.20838i
\(435\) 5.97524 0.859110i 0.286491 0.0411911i
\(436\) 1.74790 1.00915i 0.0837090 0.0483294i
\(437\) −33.9166 5.32585i −1.62245 0.254770i
\(438\) −2.71018 + 4.69417i −0.129497 + 0.224296i
\(439\) −20.2255 25.7188i −0.965311 1.22749i −0.973771 0.227529i \(-0.926935\pi\)
0.00846028 0.999964i \(-0.497307\pi\)
\(440\) −6.41429 2.92931i −0.305789 0.139649i
\(441\) 4.33168 + 5.49877i 0.206271 + 0.261846i
\(442\) −26.9738 23.3729i −1.28301 1.11174i
\(443\) 1.33990 + 5.52315i 0.0636607 + 0.262413i 0.994744 0.102394i \(-0.0326502\pi\)
−0.931083 + 0.364807i \(0.881135\pi\)
\(444\) −0.0176720 0.370980i −0.000838674 0.0176059i
\(445\) −20.1723 1.92622i −0.956260 0.0913118i
\(446\) −2.98417 1.03283i −0.141304 0.0489059i
\(447\) −6.30545 4.05226i −0.298237 0.191666i
\(448\) −22.5594 4.89768i −1.06583 0.231393i
\(449\) 1.69526 11.7908i 0.0800044 0.556443i −0.909913 0.414799i \(-0.863852\pi\)
0.989918 0.141644i \(-0.0452389\pi\)
\(450\) −0.229479 + 4.81736i −0.0108177 + 0.227092i
\(451\) −13.2901 + 2.56145i −0.625805 + 0.120614i
\(452\) 0.243292 2.54787i 0.0114435 0.119842i
\(453\) −7.85244 + 15.2316i −0.368940 + 0.715643i
\(454\) 23.2056 + 6.81379i 1.08909 + 0.319787i
\(455\) −19.6963 5.26884i −0.923377 0.247007i
\(456\) 5.99835 + 20.4285i 0.280899 + 0.956653i
\(457\) −1.78127 18.6543i −0.0833242 0.872610i −0.936426 0.350866i \(-0.885887\pi\)
0.853102 0.521745i \(-0.174719\pi\)
\(458\) 14.6709 + 5.87334i 0.685526 + 0.274443i
\(459\) −3.53019 2.03816i −0.164775 0.0951330i
\(460\) 0.241857 + 1.34868i 0.0112767 + 0.0628825i
\(461\) 26.2219i 1.22127i 0.791910 + 0.610637i \(0.209087\pi\)
−0.791910 + 0.610637i \(0.790913\pi\)
\(462\) 3.11159 6.41225i 0.144764 0.298325i
\(463\) 5.88187 12.8795i 0.273354 0.598561i −0.722312 0.691568i \(-0.756920\pi\)
0.995666 + 0.0930063i \(0.0296477\pi\)
\(464\) −12.9271 12.3259i −0.600124 0.572217i
\(465\) −3.11998 9.01458i −0.144685 0.418041i
\(466\) −14.1381 + 13.4807i −0.654936 + 0.624480i
\(467\) 6.85494 + 3.53397i 0.317209 + 0.163533i 0.609477 0.792804i \(-0.291380\pi\)
−0.292268 + 0.956337i \(0.594410\pi\)
\(468\) 1.47321 0.672794i 0.0680993 0.0310999i
\(469\) 15.6328 1.87572i 0.721857 0.0866127i
\(470\) 5.64878 8.78968i 0.260559 0.405438i
\(471\) 4.67475 + 11.6769i 0.215401 + 0.538045i
\(472\) −7.84037 + 9.96985i −0.360882 + 0.458899i
\(473\) −5.56816 + 2.87058i −0.256024 + 0.131990i
\(474\) 1.89918 5.48732i 0.0872322 0.252041i
\(475\) −10.8265 23.7067i −0.496753 1.08774i
\(476\) −1.37452 + 2.25715i −0.0630010 + 0.103456i
\(477\) 0.461904 1.57310i 0.0211492 0.0720274i
\(478\) −10.3572 1.99619i −0.473728 0.0913037i
\(479\) −3.40609 + 14.0401i −0.155628 + 0.641508i 0.839538 + 0.543301i \(0.182826\pi\)
−0.995166 + 0.0982068i \(0.968689\pi\)
\(480\) 1.30877 0.931974i 0.0597371 0.0425386i
\(481\) −7.87446 + 6.19254i −0.359044 + 0.282356i
\(482\) 8.48909 0.386667
\(483\) −12.5383 + 1.94706i −0.570512 + 0.0885943i
\(484\) −1.68217 −0.0764622
\(485\) −4.58773 + 3.60783i −0.208318 + 0.163823i
\(486\) −1.07911 + 0.768430i −0.0489494 + 0.0348567i
\(487\) −5.29085 + 21.8092i −0.239752 + 0.988269i 0.716933 + 0.697142i \(0.245545\pi\)
−0.956684 + 0.291127i \(0.905970\pi\)
\(488\) 9.19129 + 1.77148i 0.416070 + 0.0801909i
\(489\) −1.63324 + 5.56232i −0.0738578 + 0.251537i
\(490\) 1.01882 10.7641i 0.0460256 0.486270i
\(491\) 3.06778 + 6.71750i 0.138447 + 0.303156i 0.966137 0.258029i \(-0.0830729\pi\)
−0.827690 + 0.561185i \(0.810346\pi\)
\(492\) 0.533430 1.54124i 0.0240489 0.0694847i
\(493\) −18.7588 + 9.67086i −0.844856 + 0.435553i
\(494\) 38.7466 49.2703i 1.74329 2.21678i
\(495\) 0.881199 + 2.20113i 0.0396070 + 0.0989334i
\(496\) −15.2596 + 23.7445i −0.685178 + 1.06616i
\(497\) 29.3883 22.0189i 1.31825 0.987682i
\(498\) −10.7056 + 4.88908i −0.479729 + 0.219085i
\(499\) −3.34233 1.72309i −0.149623 0.0771361i 0.381789 0.924250i \(-0.375308\pi\)
−0.531412 + 0.847113i \(0.678338\pi\)
\(500\) −1.78665 + 1.70356i −0.0799012 + 0.0761857i
\(501\) −7.97857 23.0526i −0.356456 1.02991i
\(502\) 14.6031 + 13.9240i 0.651769 + 0.621460i
\(503\) −12.0403 + 26.3645i −0.536849 + 1.17553i 0.425809 + 0.904813i \(0.359990\pi\)
−0.962658 + 0.270722i \(0.912738\pi\)
\(504\) 4.41321 + 6.51468i 0.196580 + 0.290187i
\(505\) 10.7328i 0.477603i
\(506\) 7.35701 + 10.6200i 0.327059 + 0.472118i
\(507\) −26.5734 15.3422i −1.18017 0.681370i
\(508\) −4.01374 1.60686i −0.178081 0.0712928i
\(509\) 2.89431 + 30.3106i 0.128288 + 1.34349i 0.798801 + 0.601595i \(0.205468\pi\)
−0.670513 + 0.741898i \(0.733926\pi\)
\(510\) 1.77386 + 6.04121i 0.0785478 + 0.267509i
\(511\) −2.80616 10.4554i −0.124137 0.462518i
\(512\) −24.2508 7.12068i −1.07174 0.314693i
\(513\) 3.28033 6.36295i 0.144830 0.280931i
\(514\) 0.338857 3.54867i 0.0149463 0.156525i
\(515\) 15.5599 2.99892i 0.685650 0.132148i
\(516\) 0.0359190 0.754033i 0.00158125 0.0331944i
\(517\) −1.95761 + 13.6155i −0.0860956 + 0.598808i
\(518\) −3.93238 3.57179i −0.172779 0.156935i
\(519\) 4.73018 + 3.03990i 0.207632 + 0.133437i
\(520\) −21.6588 7.49617i −0.949800 0.328729i
\(521\) 7.46994 + 0.713293i 0.327264 + 0.0312499i 0.257395 0.966306i \(-0.417136\pi\)
0.0698689 + 0.997556i \(0.477742\pi\)
\(522\) 0.326357 + 6.85108i 0.0142843 + 0.299864i
\(523\) −5.04331 20.7888i −0.220529 0.909031i −0.969237 0.246131i \(-0.920841\pi\)
0.748708 0.662900i \(-0.230675\pi\)
\(524\) −0.366037 0.317173i −0.0159904 0.0138558i
\(525\) −6.48203 7.12452i −0.282899 0.310940i
\(526\) 7.01498 + 3.20364i 0.305868 + 0.139685i
\(527\) 20.6158 + 26.2151i 0.898037 + 1.14195i
\(528\) 3.50766 6.07545i 0.152651 0.264400i
\(529\) 8.08320 21.5328i 0.351443 0.936209i
\(530\) −2.19311 + 1.26619i −0.0952626 + 0.0549999i
\(531\) 4.22120 0.606917i 0.183184 0.0263379i
\(532\) −4.07434 2.22256i −0.176645 0.0963603i
\(533\) −42.2092 + 12.3937i −1.82828 + 0.536833i
\(534\) 4.35731 22.6079i 0.188559 0.978338i
\(535\) 3.16637 + 3.32080i 0.136894 + 0.143571i
\(536\) 17.6790 0.842155i 0.763617 0.0363756i
\(537\) 13.7015 + 9.75681i 0.591264 + 0.421037i
\(538\) −20.1878 + 17.4928i −0.870359 + 0.754170i
\(539\) 4.66683 + 13.4478i 0.201014 + 0.579236i
\(540\) −0.282797 0.0406601i −0.0121696 0.00174973i
\(541\) −16.3894 + 6.56131i −0.704634 + 0.282093i −0.696176 0.717871i \(-0.745117\pi\)
−0.00845817 + 0.999964i \(0.502692\pi\)
\(542\) −3.43516 6.66328i −0.147553 0.286212i
\(543\) 0.0708916 + 0.367820i 0.00304225 + 0.0157847i
\(544\) −3.25829 + 4.57563i −0.139698 + 0.196179i
\(545\) 5.19204 + 8.07897i 0.222402 + 0.346065i
\(546\) 8.08657 21.7085i 0.346073 0.929037i
\(547\) −13.5451 + 15.6319i −0.579146 + 0.668371i −0.967421 0.253173i \(-0.918526\pi\)
0.388275 + 0.921544i \(0.373071\pi\)
\(548\) −0.699319 + 0.733425i −0.0298734 + 0.0313304i
\(549\) −1.82562 2.56372i −0.0779154 0.109417i
\(550\) −3.64497 + 9.10470i −0.155422 + 0.388226i
\(551\) −18.5321 32.0985i −0.789494 1.36744i
\(552\) −14.2151 + 1.17174i −0.605037 + 0.0498727i
\(553\) 5.07155 + 10.4292i 0.215664 + 0.443495i
\(554\) 2.33104 + 16.2127i 0.0990363 + 0.688813i
\(555\) 1.75920 0.167983i 0.0746740 0.00713050i
\(556\) 2.32661 + 0.564429i 0.0986702 + 0.0239371i
\(557\) −8.96953 + 3.10439i −0.380051 + 0.131537i −0.510413 0.859929i \(-0.670507\pi\)
0.130362 + 0.991467i \(0.458386\pi\)
\(558\) 10.5329 2.55525i 0.445893 0.108173i
\(559\) −17.1291 + 11.0082i −0.724485 + 0.465598i
\(560\) 1.76044 10.4956i 0.0743924 0.443521i
\(561\) −5.42826 6.26455i −0.229181 0.264489i
\(562\) 1.73531 + 0.0826630i 0.0731997 + 0.00348693i
\(563\) 2.77867 + 2.18517i 0.117107 + 0.0920939i 0.674995 0.737822i \(-0.264146\pi\)
−0.557888 + 0.829916i \(0.688388\pi\)
\(564\) −1.30293 1.02463i −0.0548632 0.0431449i
\(565\) 12.1647 + 0.579474i 0.511771 + 0.0243787i
\(566\) −24.4569 28.2248i −1.02800 1.18638i
\(567\) 0.437661 2.60930i 0.0183800 0.109580i
\(568\) 34.7266 22.3174i 1.45710 0.936418i
\(569\) 23.6008 5.72550i 0.989398 0.240025i 0.291773 0.956488i \(-0.405755\pi\)
0.697626 + 0.716462i \(0.254240\pi\)
\(570\) −10.4492 + 3.61651i −0.437670 + 0.151479i
\(571\) −7.97426 1.93453i −0.333712 0.0809577i 0.0654018 0.997859i \(-0.479167\pi\)
−0.399114 + 0.916901i \(0.630682\pi\)
\(572\) 3.27849 0.313058i 0.137080 0.0130896i
\(573\) 2.78261 + 19.3535i 0.116245 + 0.808503i
\(574\) −10.2019 20.9794i −0.425821 0.875663i
\(575\) 17.0192 3.89605i 0.709751 0.162477i
\(576\) 4.36263 + 7.55630i 0.181776 + 0.314846i
\(577\) 1.07879 2.69468i 0.0449105 0.112181i −0.904217 0.427074i \(-0.859544\pi\)
0.949127 + 0.314893i \(0.101969\pi\)
\(578\) 0.294838 + 0.414042i 0.0122636 + 0.0172219i
\(579\) −2.34616 + 2.46059i −0.0975032 + 0.102258i
\(580\) −0.968689 + 1.11793i −0.0402226 + 0.0464194i
\(581\) 8.20501 22.0264i 0.340401 0.913810i
\(582\) −3.58515 5.57860i −0.148609 0.231241i
\(583\) 1.93388 2.71576i 0.0800933 0.112475i
\(584\) −2.30298 11.9490i −0.0952981 0.494454i
\(585\) 3.53121 + 6.84960i 0.145998 + 0.283196i
\(586\) −13.6561 + 5.46709i −0.564130 + 0.225844i
\(587\) −14.7842 2.12564i −0.610207 0.0877346i −0.169718 0.985493i \(-0.554286\pi\)
−0.440489 + 0.897758i \(0.645195\pi\)
\(588\) −1.68455 0.323219i −0.0694697 0.0133293i
\(589\) −44.2637 + 38.3547i −1.82385 + 1.58038i
\(590\) −5.36568 3.82089i −0.220902 0.157303i
\(591\) 11.9882 0.571068i 0.493128 0.0234906i
\(592\) −3.60834 3.78432i −0.148302 0.155535i
\(593\) −1.11926 + 5.80728i −0.0459625 + 0.238476i −0.997643 0.0686126i \(-0.978143\pi\)
0.951681 + 0.307089i \(0.0993549\pi\)
\(594\) −2.58476 + 0.758954i −0.106054 + 0.0311402i
\(595\) −11.0390 6.02182i −0.452557 0.246871i
\(596\) 1.81795 0.261382i 0.0744663 0.0107066i
\(597\) 22.1444 12.7851i 0.906309 0.523258i
\(598\) 27.0851 + 32.0886i 1.10759 + 1.31220i
\(599\) 14.7337 25.5195i 0.602002 1.04270i −0.390516 0.920596i \(-0.627703\pi\)
0.992518 0.122101i \(-0.0389633\pi\)
\(600\) −6.69307 8.51093i −0.273243 0.347457i
\(601\) −16.8862 7.71168i −0.688804 0.314566i 0.0400870 0.999196i \(-0.487236\pi\)
−0.728891 + 0.684630i \(0.759964\pi\)
\(602\) −7.26645 7.98670i −0.296158 0.325513i
\(603\) −4.49749 3.89710i −0.183152 0.158702i
\(604\) −0.989986 4.08078i −0.0402820 0.166045i
\(605\) −0.380851 7.99505i −0.0154838 0.325045i
\(606\) −12.1393 1.15916i −0.493126 0.0470879i
\(607\) 37.5218 + 12.9864i 1.52296 + 0.527103i 0.955168 0.296065i \(-0.0956746\pi\)
0.567797 + 0.823168i \(0.307796\pi\)
\(608\) −8.29882 5.33333i −0.336562 0.216295i
\(609\) −10.1399 9.21009i −0.410889 0.373212i
\(610\) −0.691836 + 4.81183i −0.0280116 + 0.194825i
\(611\) −2.12734 + 44.6583i −0.0860629 + 1.80668i
\(612\) 0.980808 0.189035i 0.0396468 0.00764130i
\(613\) 0.393318 4.11901i 0.0158860 0.166365i −0.984047 0.177906i \(-0.943068\pi\)
0.999933 + 0.0115409i \(0.00367368\pi\)
\(614\) 14.3359 27.8077i 0.578549 1.12223i
\(615\) 7.44604 + 2.18635i 0.300253 + 0.0881623i
\(616\) 4.14782 + 15.4542i 0.167121 + 0.622668i
\(617\) 1.89050 + 6.43844i 0.0761086 + 0.259202i 0.988754 0.149550i \(-0.0477824\pi\)
−0.912646 + 0.408752i \(0.865964\pi\)
\(618\) 1.71143 + 17.9229i 0.0688437 + 0.720964i
\(619\) 28.3634 + 11.3550i 1.14002 + 0.456396i 0.863369 0.504574i \(-0.168350\pi\)
0.276654 + 0.960970i \(0.410775\pi\)
\(620\) 2.02433 + 1.16875i 0.0812989 + 0.0469380i
\(621\) 3.73105 + 3.01318i 0.149722 + 0.120915i
\(622\) 18.2037i 0.729903i
\(623\) 25.7895 + 38.0699i 1.03323 + 1.52524i
\(624\) 9.47215 20.7411i 0.379189 0.830309i
\(625\) 4.67272 + 4.45543i 0.186909 + 0.178217i
\(626\) −4.90643 14.1762i −0.196100 0.566595i
\(627\) 10.5356 10.0457i 0.420753 0.401187i
\(628\) −2.73948 1.41230i −0.109317 0.0563568i
\(629\) −5.62003 + 2.56658i −0.224085 + 0.102336i
\(630\) −3.27048 + 2.45037i −0.130299 + 0.0976253i
\(631\) −25.7303 + 40.0371i −1.02431 + 1.59385i −0.242680 + 0.970106i \(0.578027\pi\)
−0.781627 + 0.623746i \(0.785610\pi\)
\(632\) 4.84508 + 12.1024i 0.192727 + 0.481409i
\(633\) 14.0374 17.8500i 0.557935 0.709472i
\(634\) 21.6462 11.1594i 0.859682 0.443197i
\(635\) 6.72838 19.4404i 0.267008 0.771468i
\(636\) 0.166891 + 0.365441i 0.00661768 + 0.0144907i
\(637\) 19.2545 + 42.0690i 0.762891 + 1.66683i
\(638\) −3.92946 + 13.3825i −0.155569 + 0.529818i
\(639\) −13.6288 2.62673i −0.539147 0.103912i
\(640\) 2.41974 9.97430i 0.0956486 0.394269i
\(641\) 5.18428 3.69171i 0.204767 0.145814i −0.473074 0.881023i \(-0.656856\pi\)
0.677840 + 0.735209i \(0.262916\pi\)
\(642\) −4.09796 + 3.22267i −0.161734 + 0.127189i
\(643\) −19.5358 −0.770416 −0.385208 0.922830i \(-0.625870\pi\)
−0.385208 + 0.922830i \(0.625870\pi\)
\(644\) 2.00951 2.37256i 0.0791860 0.0934919i
\(645\) 3.59192 0.141432
\(646\) 30.3872 23.8967i 1.19557 0.940204i
\(647\) 1.24532 0.886787i 0.0489585 0.0348632i −0.555316 0.831640i \(-0.687403\pi\)
0.604274 + 0.796776i \(0.293463\pi\)
\(648\) 0.701174 2.89028i 0.0275447 0.113541i
\(649\) 8.51537 + 1.64120i 0.334257 + 0.0644228i
\(650\) −8.98051 + 30.5848i −0.352245 + 1.19964i
\(651\) −11.2585 + 18.4879i −0.441254 + 0.724600i
\(652\) −0.590110 1.29216i −0.0231105 0.0506049i
\(653\) 13.5417 39.1262i 0.529928 1.53113i −0.289057 0.957312i \(-0.593342\pi\)
0.818985 0.573815i \(-0.194537\pi\)
\(654\) −9.69847 + 4.99991i −0.379240 + 0.195512i
\(655\) 1.42460 1.81152i 0.0556636 0.0707820i
\(656\) −8.53404 21.3170i −0.333198 0.832289i
\(657\) −2.21209 + 3.44208i −0.0863019 + 0.134288i
\(658\) −23.5402 + 2.82450i −0.917693 + 0.110110i
\(659\) 30.0234 13.7112i 1.16955 0.534114i 0.266575 0.963814i \(-0.414108\pi\)
0.902972 + 0.429700i \(0.141381\pi\)
\(660\) −0.516397 0.266221i −0.0201007 0.0103626i
\(661\) 9.76085 9.30695i 0.379653 0.361998i −0.476093 0.879395i \(-0.657947\pi\)
0.855746 + 0.517397i \(0.173099\pi\)
\(662\) 5.07859 + 14.6736i 0.197385 + 0.570307i
\(663\) −19.4989 18.5921i −0.757273 0.722058i
\(664\) 10.9762 24.0345i 0.425959 0.932719i
\(665\) 9.64099 19.8678i 0.373862 0.770441i
\(666\) 2.00789i 0.0778041i
\(667\) 23.5679 7.81649i 0.912552 0.302656i
\(668\) 5.17672 + 2.98878i 0.200293 + 0.115639i
\(669\) −2.21298 0.885944i −0.0855587 0.0342526i
\(670\) 0.873749 + 9.15031i 0.0337559 + 0.353507i
\(671\) −1.80310 6.14080i −0.0696080 0.237063i
\(672\) −3.52203 0.942158i −0.135865 0.0363445i
\(673\) 23.1990 + 6.81184i 0.894256 + 0.262577i 0.696400 0.717654i \(-0.254784\pi\)
0.197856 + 0.980231i \(0.436602\pi\)
\(674\) 18.9182 36.6962i 0.728702 1.41348i
\(675\) −0.346057 + 3.62407i −0.0133197 + 0.139491i
\(676\) 7.38302 1.42296i 0.283962 0.0547292i
\(677\) 1.42957 30.0103i 0.0549427 1.15339i −0.788102 0.615545i \(-0.788936\pi\)
0.843045 0.537844i \(-0.180761\pi\)
\(678\) −1.96922 + 13.6963i −0.0756276 + 0.526001i
\(679\) 12.9423 + 2.80980i 0.496682 + 0.107830i
\(680\) −11.8914 7.64214i −0.456014 0.293063i
\(681\) 17.2524 + 5.97113i 0.661115 + 0.228814i
\(682\) 21.9401 + 2.09503i 0.840132 + 0.0802228i
\(683\) −0.357527 7.50541i −0.0136804 0.287187i −0.995332 0.0965056i \(-0.969233\pi\)
0.981652 0.190681i \(-0.0610696\pi\)
\(684\) 0.413564 + 1.70473i 0.0158130 + 0.0651821i
\(685\) −3.64417 3.15769i −0.139237 0.120649i
\(686\) −20.3012 + 13.7772i −0.775105 + 0.526016i
\(687\) 10.8510 + 4.95547i 0.413990 + 0.189063i
\(688\) −6.56975 8.35412i −0.250469 0.318498i
\(689\) 5.41811 9.38445i 0.206414 0.357519i
\(690\) −0.959128 7.34526i −0.0365134 0.279629i
\(691\) −11.6039 + 6.69950i −0.441432 + 0.254861i −0.704205 0.709997i \(-0.748696\pi\)
0.262773 + 0.964858i \(0.415363\pi\)
\(692\) −1.36378 + 0.196082i −0.0518431 + 0.00745392i
\(693\) 2.57647 4.72311i 0.0978718 0.179416i
\(694\) −23.1177 + 6.78797i −0.877536 + 0.257668i
\(695\) −2.15588 + 11.1858i −0.0817771 + 0.424300i
\(696\) −10.6261 11.1443i −0.402781 0.422425i
\(697\) −27.1005 + 1.29096i −1.02651 + 0.0488985i
\(698\) −17.7068 12.6090i −0.670214 0.477257i
\(699\) −11.1444 + 9.65669i −0.421520 + 0.365250i
\(700\) 2.34365 + 0.279230i 0.0885816 + 0.0105539i
\(701\) 9.97714 + 1.43450i 0.376831 + 0.0541802i 0.328128 0.944633i \(-0.393582\pi\)
0.0487030 + 0.998813i \(0.484491\pi\)
\(702\) −8.12862 + 3.25421i −0.306795 + 0.122822i
\(703\) −4.97191 9.64416i −0.187519 0.363736i
\(704\) 3.35786 + 17.4222i 0.126554 + 0.656624i
\(705\) 4.57492 6.42457i 0.172301 0.241963i
\(706\) −24.8870 38.7249i −0.936633 1.45743i
\(707\) 18.7739 15.5141i 0.706064 0.583469i
\(708\) −0.684329 + 0.789757i −0.0257186 + 0.0296809i
\(709\) −18.8294 + 19.7477i −0.707153 + 0.741640i −0.975093 0.221795i \(-0.928808\pi\)
0.267941 + 0.963435i \(0.413657\pi\)
\(710\) 12.4355 + 17.4632i 0.466695 + 0.655382i
\(711\) 1.62908 4.06925i 0.0610954 0.152609i
\(712\) 25.8448 + 44.7646i 0.968576 + 1.67762i
\(713\) −19.1766 34.2316i −0.718170 1.28198i
\(714\) 8.00322 11.8353i 0.299513 0.442926i
\(715\) 2.23017 + 15.5112i 0.0834038 + 0.580086i
\(716\) −4.10301 + 0.391790i −0.153337 + 0.0146419i
\(717\) −7.73770 1.87715i −0.288970 0.0701033i
\(718\) 25.0645 8.67491i 0.935399 0.323745i
\(719\) 13.6254 3.30548i 0.508141 0.123274i 0.0265111 0.999649i \(-0.491560\pi\)
0.481629 + 0.876375i \(0.340045\pi\)
\(720\) −3.38385 + 2.17467i −0.126109 + 0.0810451i
\(721\) −27.7373 22.8825i −1.03299 0.852189i
\(722\) 27.9757 + 32.2857i 1.04115 + 1.20155i
\(723\) 6.40082 + 0.304908i 0.238049 + 0.0113397i
\(724\) −0.0721514 0.0567405i −0.00268148 0.00210874i
\(725\) 14.8162 + 11.6516i 0.550260 + 0.432729i
\(726\) 9.08393 + 0.432721i 0.337136 + 0.0160598i
\(727\) 21.7746 + 25.1293i 0.807577 + 0.931994i 0.998771 0.0495587i \(-0.0157815\pi\)
−0.191194 + 0.981552i \(0.561236\pi\)
\(728\) 18.1952 + 48.7213i 0.674357 + 1.80573i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 6.14173 1.48997i 0.227316 0.0551462i
\(731\) −11.8671 + 4.10725i −0.438921 + 0.151912i
\(732\) 0.749476 + 0.181821i 0.0277014 + 0.00672029i
\(733\) −18.4650 + 1.76319i −0.682020 + 0.0651250i −0.430315 0.902679i \(-0.641597\pi\)
−0.251705 + 0.967804i \(0.580991\pi\)
\(734\) −6.44267 44.8098i −0.237803 1.65396i
\(735\) 1.15481 8.07956i 0.0425960 0.298019i
\(736\) 4.62211 4.72345i 0.170373 0.174109i
\(737\) −6.05072 10.4802i −0.222881 0.386041i
\(738\) −3.27706 + 8.18571i −0.120630 + 0.301320i
\(739\) 11.3584 + 15.9507i 0.417827 + 0.586756i 0.968824 0.247751i \(-0.0796916\pi\)
−0.550996 + 0.834508i \(0.685752\pi\)
\(740\) −0.298829 + 0.313403i −0.0109852 + 0.0115209i
\(741\) 30.9848 35.7584i 1.13826 1.31362i
\(742\) 5.38494 + 2.00593i 0.197688 + 0.0736401i
\(743\) 18.2182 + 28.3481i 0.668363 + 1.03999i 0.995477 + 0.0950077i \(0.0302876\pi\)
−0.327114 + 0.944985i \(0.606076\pi\)
\(744\) −14.1143 + 19.8208i −0.517457 + 0.726666i
\(745\) 1.65390 + 8.58124i 0.0605941 + 0.314392i
\(746\) −3.41893 6.63181i −0.125176 0.242808i
\(747\) −8.24768 + 3.30187i −0.301767 + 0.120809i
\(748\) 2.01051 + 0.289067i 0.0735114 + 0.0105693i
\(749\) 1.23180 10.3388i 0.0450090 0.377772i
\(750\) 10.0864 8.73987i 0.368301 0.319135i
\(751\) −18.7835 13.3757i −0.685421 0.488086i 0.183511 0.983018i \(-0.441254\pi\)
−0.868932 + 0.494932i \(0.835193\pi\)
\(752\) −23.3100 + 1.11039i −0.850029 + 0.0404919i
\(753\) 10.5107 + 11.0233i 0.383031 + 0.401712i
\(754\) −8.57932 + 44.5137i −0.312440 + 1.62109i
\(755\) 19.1711 5.62914i 0.697707 0.204865i
\(756\) 0.337657 + 0.553444i 0.0122805 + 0.0201286i
\(757\) 37.2297 5.35282i 1.35314 0.194552i 0.572688 0.819773i \(-0.305901\pi\)
0.780447 + 0.625222i \(0.214991\pi\)
\(758\) 35.3838 20.4288i 1.28520 0.742008i
\(759\) 5.16577 + 8.27181i 0.187506 + 0.300248i
\(760\) 12.4121 21.4984i 0.450235 0.779829i
\(761\) 2.22552 + 2.82998i 0.0806752 + 0.102587i 0.824715 0.565548i \(-0.191335\pi\)
−0.744040 + 0.668135i \(0.767093\pi\)
\(762\) 21.2614 + 9.70974i 0.770218 + 0.351747i
\(763\) 6.62675 20.7600i 0.239904 0.751562i
\(764\) −3.62090 3.13753i −0.131000 0.113512i
\(765\) 1.12051 + 4.61881i 0.0405122 + 0.166993i
\(766\) 1.57429 + 33.0485i 0.0568816 + 1.19409i
\(767\) 28.0589 + 2.67930i 1.01315 + 0.0967440i
\(768\) −5.47068 1.89342i −0.197406 0.0683229i
\(769\) −1.93060 1.24072i −0.0696193 0.0447416i 0.505368 0.862904i \(-0.331357\pi\)
−0.574987 + 0.818162i \(0.694993\pi\)
\(770\) −7.91449 + 2.53361i −0.285218 + 0.0913050i
\(771\) 0.382960 2.66355i 0.0137920 0.0959253i
\(772\) 0.0396404 0.832155i 0.00142669 0.0299499i
\(773\)