Properties

Label 483.2.bf.a.61.23
Level $483$
Weight $2$
Character 483.61
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 61.23
Character \(\chi\) \(=\) 483.61
Dual form 483.2.bf.a.388.23

$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{17}{22}\right)\)

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 0.914327 0.404977i \(-0.132720\pi\)
−0.178000 + 0.984030i \(0.556963\pi\)
\(3\) 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 −0.438710 0.898629i \(-0.644564\pi\)
−0.0732973 + 0.997310i \(0.523352\pi\)
\(6\) 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 0.937709 0.347421i \(-0.112943\pi\)
−0.558701 + 0.829369i \(0.688700\pi\)
\(12\) 0.0910722 0.227487i 0.0262903 0.0656699i
\(13\) 3.57332 + 5.56019i 0.991060 + 1.54212i 0.831944 + 0.554860i \(0.187228\pi\)
0.159117 + 0.987260i \(0.449135\pi\)
\(14\) 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 0.957630 0.288002i \(-0.0929909\pi\)
−0.242110 + 0.970249i \(0.577839\pi\)
\(18\) −0.433283 + 1.25189i −0.102126 + 0.295073i
\(19\) 5.18103 4.94010i 1.18861 1.13334i 0.200483 0.979697i \(-0.435749\pi\)
0.988127 0.153640i \(-0.0490997\pi\)
\(20\) 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 −0.708288 0.705923i \(-0.750532\pi\)
−0.214199 + 0.976790i \(0.568714\pi\)
\(30\) −0.707774 1.37289i −0.129221 0.250654i
\(31\) −0.777700 8.14444i −0.139679 1.46278i −0.745139 0.666909i \(-0.767617\pi\)
0.605460 0.795876i \(-0.292989\pi\)
\(32\) −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 −0.442255 0.896889i \(-0.645821\pi\)
0.206784 + 0.978387i \(0.433700\pi\)
\(38\) 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 −0.952254 0.305305i \(-0.901241\pi\)
0.166678 + 0.986011i \(0.446696\pi\)
\(42\) 3.42455 + 0.746455i 0.528419 + 0.115180i
\(43\) −2.80228 + 1.27976i −0.427343 + 0.195161i −0.617463 0.786600i \(-0.711840\pi\)
0.190120 + 0.981761i \(0.439112\pi\)
\(44\) 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 0.00766493 0.999971i \(-0.497560\pi\)
−0.862167 + 0.506623i \(0.830893\pi\)
\(48\) 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 0.159754 0.987157i \(-0.448930\pi\)
0.0651954 + 0.997873i \(0.479233\pi\)
\(54\) −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 −0.726696 0.686959i \(-0.758945\pi\)
0.981105 + 0.193474i \(0.0619754\pi\)
\(60\) −0.0540700 + 0.280542i −0.00698041 + 0.0362178i
\(61\) 1.82562 + 2.56372i 0.233746 + 0.328250i 0.914743 0.404036i \(-0.132393\pi\)
−0.680997 + 0.732286i \(0.738453\pi\)
\(62\) 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 0.999962 0.00875832i \(-0.00278790\pi\)
−0.729750 + 0.683714i \(0.760364\pi\)
\(68\) 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 0.444182 + 0.895937i \(0.353494\pi\)
−0.678604 + 0.734505i \(0.737415\pi\)
\(72\) 2.96065 + 0.282708i 0.348916 + 0.0333174i
\(73\) −3.97628 + 0.964634i −0.465388 + 0.112902i −0.461595 0.887091i \(-0.652723\pi\)
−0.00379312 + 0.999993i \(0.501207\pi\)
\(74\) −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 0.200184 0.979758i \(-0.435846\pi\)
0.292410 + 0.956293i \(0.405543\pi\)
\(80\) −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 −0.979125 0.203261i \(-0.934846\pi\)
0.340536 + 0.940232i \(0.389392\pi\)
\(84\) −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 0.953961 0.299932i \(-0.0969641\pi\)
0.879959 + 0.475050i \(0.157570\pi\)
\(90\) 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 0.897356 0.441307i \(-0.145485\pi\)
−0.564522 + 0.825418i \(0.690939\pi\)
\(98\) 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 0.786228 + 0.617936i \(0.212031\pi\)
−0.959573 + 0.281460i \(0.909181\pi\)
\(102\) −2.47446 + 4.79979i −0.245008 + 0.475250i
\(103\) −12.6173 5.05119i −1.24322 0.497709i −0.345556 0.938398i \(-0.612310\pi\)
−0.897660 + 0.440689i \(0.854734\pi\)
\(104\) 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 −0.724416 0.689363i \(-0.757890\pi\)
0.414515 + 0.910042i \(0.363951\pi\)
\(108\) 0.244762 + 0.0116595i 0.0235523 + 0.00112193i
\(109\) −5.68391 + 5.96111i −0.544419 + 0.570971i −0.937258 0.348637i \(-0.886645\pi\)
0.392838 + 0.919607i \(0.371493\pi\)
\(110\) −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 −0.362339 0.932047i \(-0.618022\pi\)
−0.610249 + 0.792209i \(0.708931\pi\)
\(114\) 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 −0.727325 0.686293i \(-0.759237\pi\)
0.504513 0.863404i \(-0.331672\pi\)
\(128\) −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 0.845950 0.533263i \(-0.179034\pi\)
−0.925082 + 0.379767i \(0.876004\pi\)
\(132\) 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 −0.339140 0.940736i \(-0.610136\pi\)
0.645132 + 0.764072i \(0.276803\pi\)
\(138\) 1.99999 6.03027i 0.170251 0.513330i
\(139\) 9.77022i 0.828700i 0.910118 + 0.414350i \(0.135991\pi\)
−0.910118 + 0.414350i \(0.864009\pi\)
\(140\) 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 −0.997638 0.0686854i \(-0.978120\pi\)
0.769423 + 0.638739i \(0.220544\pi\)
\(150\) −2.98127 3.79099i −0.243420 0.309533i
\(151\) −15.2316 7.85244i −1.23953 0.639022i −0.291308 0.956629i \(-0.594090\pi\)
−0.948222 + 0.317607i \(0.897121\pi\)
\(152\) −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 −0.958868 0.283854i \(-0.908387\pi\)
0.722206 0.691678i \(-0.243128\pi\)
\(158\) 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 0.423557 0.905870i \(-0.360782\pi\)
−0.780477 + 0.625184i \(0.785024\pi\)
\(164\) 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 0.582926 + 0.812525i \(0.301908\pi\)
−0.0511043 + 0.998693i \(0.516274\pi\)
\(168\) −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 −0.827471 0.561508i \(-0.810221\pi\)
0.986354 + 0.164638i \(0.0526457\pi\)
\(174\) −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 −0.529350 0.848404i \(-0.677564\pi\)
0.940545 0.339668i \(-0.110315\pi\)
\(180\) −0.206774 + 0.197159i −0.0154121 + 0.0146954i
\(181\) −0.155610 0.340739i −0.0115664 0.0253269i 0.903761 0.428038i \(-0.140795\pi\)
−0.915327 + 0.402711i \(0.868068\pi\)
\(182\) 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 −0.952397 0.304860i \(-0.901390\pi\)
0.304113 0.952636i \(-0.401640\pi\)
\(192\) −0.829389 8.68576i −0.0598560 0.626841i
\(193\) −3.33841 0.643425i −0.240304 0.0463148i 0.0676772 0.997707i \(-0.478441\pi\)
−0.307981 + 0.951393i \(0.599653\pi\)
\(194\) 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 −0.129062 0.991637i \(-0.541196\pi\)
0.848410 + 0.529339i \(0.177560\pi\)
\(198\) −2.54572 + 0.881082i −0.180916 + 0.0626158i
\(199\) 25.4544 2.43060i 1.80441 0.172300i 0.862034 0.506851i \(-0.169191\pi\)
0.942378 + 0.334551i \(0.108585\pi\)
\(200\) −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 0.925711 0.378231i \(-0.123467\pi\)
0.574271 + 0.818665i \(0.305286\pi\)
\(212\) −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 −0.881720 0.471773i \(-0.843614\pi\)
0.795420 + 0.606059i \(0.207251\pi\)
\(224\) −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 −0.296615 0.954997i \(-0.595858\pi\)
0.999486 0.0320476i \(-0.0102028\pi\)
\(228\) −0.651963 1.62852i −0.0431773 0.107852i
\(229\) 5.96448 10.3308i 0.394144 0.682678i −0.598847 0.800863i \(-0.704374\pi\)
0.992992 + 0.118186i \(0.0377078\pi\)
\(230\) 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 −0.397608 0.917555i \(-0.630160\pi\)
−0.564071 + 0.825726i \(0.690766\pi\)
\(234\) −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 −0.898897 0.438159i \(-0.855631\pi\)
0.561626 + 0.827391i \(0.310176\pi\)
\(240\) −4.01784 + 0.191393i −0.259350 + 0.0123544i
\(241\) 5.03709 3.96121i 0.324467 0.255164i −0.442616 0.896711i \(-0.645950\pi\)
0.767084 + 0.641547i \(0.221707\pi\)
\(242\) 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 −0.799555 0.600593i \(-0.794931\pi\)
0.936374 0.351004i \(-0.114160\pi\)
\(252\) −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 0.779098 0.626903i \(-0.215678\pi\)
−0.663264 + 0.748386i \(0.730829\pi\)
\(258\) −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 −0.792159 0.610315i \(-0.791043\pi\)
0.956645 + 0.291256i \(0.0940732\pi\)
\(264\) 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 −0.576485 0.817107i \(-0.695576\pi\)
−0.651546 + 0.758609i \(0.725879\pi\)
\(270\) 1.06589 1.11788i 0.0648681 0.0680318i
\(271\) 1.07096 + 5.55665i 0.0650559 + 0.337542i 0.999844 0.0176638i \(-0.00562284\pi\)
−0.934788 + 0.355206i \(0.884411\pi\)
\(272\) 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 0.618342 0.785909i \(-0.287805\pi\)
−0.989788 + 0.142546i \(0.954471\pi\)
\(278\) −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 −0.624798 0.780787i \(-0.714819\pi\)
0.683921 + 0.729556i \(0.260273\pi\)
\(282\) 2.11268 8.70858i 0.125808 0.518588i
\(283\) −1.34141 + 28.1596i −0.0797384 + 1.67392i 0.505326 + 0.862928i \(0.331372\pi\)
−0.585065 + 0.810987i \(0.698931\pi\)
\(284\) 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 −0.577711 0.816242i \(-0.696054\pi\)
−0.0447074 + 0.999000i \(0.514236\pi\)
\(294\) 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 0.919932 0.392077i \(-0.128243\pi\)
0.306115 + 0.951994i \(0.400971\pi\)
\(308\) −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 0.964777 0.263071i \(-0.0847352\pi\)
−0.483110 + 0.875560i \(0.660493\pi\)
\(312\) 17.4720 + 9.00743i 0.989156 + 0.509945i
\(313\) 3.70367 + 10.7010i 0.209344 + 0.604859i 0.999972 0.00743727i \(-0.00236738\pi\)
−0.790629 + 0.612296i \(0.790246\pi\)
\(314\) 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 0.344849 0.938658i \(-0.387930\pi\)
0.669011 + 0.743253i \(0.266718\pi\)
\(318\) 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 0.789271 0.614045i \(-0.210459\pi\)
−0.999986 + 0.00522346i \(0.998337\pi\)
\(332\) 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 0.991739 0.128273i \(-0.0409434\pi\)
0.552508 + 0.833507i \(0.313671\pi\)
\(338\) −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 −0.777572 0.628794i \(-0.783549\pi\)
−0.128838 + 0.991666i \(0.541125\pi\)
\(348\) −0.120596 + 1.26294i −0.00646464 + 0.0677008i
\(349\) −4.62288 + 15.7441i −0.247457 + 0.842762i 0.738284 + 0.674491i \(0.235637\pi\)
−0.985741 + 0.168271i \(0.946182\pi\)
\(350\) −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 0.466816 + 0.884355i \(0.345401\pi\)
−0.291014 + 0.956719i \(0.593993\pi\)
\(354\) 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 0.221594 0.975139i \(-0.428874\pi\)
0.776976 + 0.629531i \(0.216753\pi\)
\(360\) −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 0.837587 + 0.546304i \(0.183966\pi\)
0.0543194 + 0.998524i \(0.482701\pi\)
\(368\) −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 0.999029 0.0440519i \(-0.0140267\pi\)
−0.943839 + 0.330405i \(0.892815\pi\)
\(374\) −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 0.697192 0.716885i \(-0.254433\pi\)
0.870920 + 0.491424i \(0.163524\pi\)
\(380\) 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 −0.997321 0.0731493i \(-0.976695\pi\)
0.257066 0.966394i \(-0.417244\pi\)
\(384\) 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 −0.711897 0.702284i \(-0.752164\pi\)
0.0305925 0.999532i \(-0.490261\pi\)
\(390\) 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 0.730692 0.682707i \(-0.239198\pi\)
0.336630 + 0.941637i \(0.390713\pi\)
\(398\) 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 −0.147507 0.989061i \(-0.547125\pi\)
−0.0528233 + 0.998604i \(0.516822\pi\)
\(402\) −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 −0.0828222 0.996564i \(-0.526393\pi\)
−0.681138 + 0.732155i \(0.738515\pi\)
\(410\) 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 0.576889 0.816823i \(-0.304267\pi\)
−0.890608 + 0.454771i \(0.849721\pi\)
\(420\) 0.582693 + 0.481519i 0.0284325 + 0.0234957i
\(421\) 2.65824 4.13630i 0.129555 0.201591i −0.770416 0.637542i \(-0.779951\pi\)
0.899971 + 0.435951i \(0.143588\pi\)
\(422\) 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 −0.971990 0.235022i \(-0.924484\pi\)
0.281005 + 0.959706i \(0.409332\pi\)
\(432\) 0.652893 + 3.38753i 0.0314123 + 0.162983i
\(433\) 11.0261 + 3.23757i 0.529882 + 0.155587i 0.535720 0.844395i \(-0.320040\pi\)
−0.00583808 + 0.999983i \(0.501858\pi\)
\(434\) −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 0.00846028 + 0.999964i \(0.497307\pi\)
−0.973771 + 0.227529i \(0.926935\pi\)
\(440\) −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 −0.931083 0.364807i \(-0.881135\pi\)
0.994744 + 0.102394i \(0.0326502\pi\)
\(444\) −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 0.989918 + 0.141644i \(0.0452389\pi\)
−0.909913 + 0.414799i \(0.863852\pi\)
\(450\) −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 0.853102 + 0.521745i \(0.174719\pi\)
−0.936426 + 0.350866i \(0.885887\pi\)
\(458\) 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 \(-0.790913\pi\)
0.791910 0.610637i \(-0.209087\pi\)
\(462\) 3.11159 + 6.41225i 0.144764 + 0.298325i
\(463\) 5.88187 + 12.8795i 0.273354 + 0.598561i 0.995666 0.0930063i \(-0.0296477\pi\)
−0.722312 + 0.691568i \(0.756920\pi\)
\(464\) −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 −0.292268 0.956337i \(-0.594410\pi\)
0.609477 + 0.792804i \(0.291380\pi\)
\(468\) 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 −0.995166 0.0982068i \(-0.968689\pi\)
0.839538 0.543301i \(-0.182826\pi\)
\(480\) 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 −0.956684 0.291127i \(-0.905970\pi\)
0.716933 0.697142i \(-0.245545\pi\)
\(488\) 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 −0.827690 0.561185i \(-0.810346\pi\)
0.966137 + 0.258029i \(0.0830729\pi\)
\(492\) 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 −0.531412 0.847113i \(-0.678338\pi\)
0.381789 + 0.924250i \(0.375308\pi\)
\(500\) −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 −0.962658 0.270722i \(-0.912738\pi\)
0.425809 0.904813i \(-0.359990\pi\)
\(504\) 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 −0.670513 0.741898i \(-0.733926\pi\)
0.798801 0.601595i \(-0.205468\pi\)
\(510\) 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 0.0698689 0.997556i \(-0.477742\pi\)
0.257395 + 0.966306i \(0.417136\pi\)
\(522\) 0.326357 6.85108i 0.0142843 0.299864i
\(523\) −5.04331 + 20.7888i −0.220529 + 0.909031i 0.748708 + 0.662900i \(0.230675\pi\)
−0.969237 + 0.246131i \(0.920841\pi\)
\(524\) −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 −0.00845817 0.999964i \(-0.502692\pi\)
−0.696176 + 0.717871i \(0.745117\pi\)
\(542\) −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 0.388275 0.921544i \(-0.373071\pi\)
−0.967421 + 0.253173i \(0.918526\pi\)
\(548\) −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 0.130362 0.991467i \(-0.458386\pi\)
−0.510413 + 0.859929i \(0.670507\pi\)
\(558\) 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 −0.557888 0.829916i \(-0.688388\pi\)
0.674995 + 0.737822i \(0.264146\pi\)
\(564\) −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 0.697626 0.716462i \(-0.254240\pi\)
0.291773 + 0.956488i \(0.405755\pi\)
\(570\) −10.4492 3.61651i −0.437670 0.151479i
\(571\) −7.97426 + 1.93453i −0.333712 + 0.0809577i −0.399114 0.916901i \(-0.630682\pi\)
0.0654018 + 0.997859i \(0.479167\pi\)
\(572\) 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 0.949127 0.314893i \(-0.101969\pi\)
−0.904217 + 0.427074i \(0.859544\pi\)
\(578\) 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 −0.440489 0.897758i \(-0.645195\pi\)
−0.169718 + 0.985493i \(0.554286\pi\)
\(588\) −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 0.951681 0.307089i \(-0.0993549\pi\)
−0.997643 + 0.0686126i \(0.978143\pi\)
\(594\) −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 0.992518 + 0.122101i \(0.0389633\pi\)
−0.390516 + 0.920596i \(0.627703\pi\)
\(600\) −6.69307 + 8.51093i −0.273243 + 0.347457i
\(601\) −16.8862 + 7.71168i −0.688804 + 0.314566i −0.728891 0.684630i \(-0.759964\pi\)
0.0400870 + 0.999196i \(0.487236\pi\)
\(602\) −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 0.567797 0.823168i \(-0.307796\pi\)
0.955168 + 0.296065i \(0.0956746\pi\)
\(608\) −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 0.999933 0.0115409i \(-0.00367368\pi\)
−0.984047 + 0.177906i \(0.943068\pi\)
\(614\) 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 −0.912646 0.408752i \(-0.865964\pi\)
0.988754 + 0.149550i \(0.0477824\pi\)
\(618\) 1.71143 17.9229i 0.0688437 0.720964i
\(619\) 28.3634 11.3550i 1.14002 0.456396i 0.276654 0.960970i \(-0.410775\pi\)
0.863369 + 0.504574i \(0.168350\pi\)
\(620\) 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 −0.781627 0.623746i \(-0.785610\pi\)
−0.242680 0.970106i \(-0.578027\pi\)
\(632\) 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 0.677840 0.735209i \(-0.262916\pi\)
−0.473074 + 0.881023i \(0.656856\pi\)
\(642\) −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 0.604274 0.796776i \(-0.293463\pi\)
−0.555316 + 0.831640i \(0.687403\pi\)
\(648\) 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 0.818985 + 0.573815i \(0.194537\pi\)
−0.289057 + 0.957312i \(0.593342\pi\)
\(654\) −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 0.902972 0.429700i \(-0.141381\pi\)
0.266575 + 0.963814i \(0.414108\pi\)
\(660\) −0.516397 + 0.266221i −0.0201007 + 0.0103626i
\(661\) 9.76085 + 9.30695i 0.379653 + 0.361998i 0.855746 0.517397i \(-0.173099\pi\)
−0.476093 + 0.879395i \(0.657947\pi\)
\(662\) 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 0.197856 0.980231i \(-0.436602\pi\)
0.696400 + 0.717654i \(0.254784\pi\)
\(674\) 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 0.843045 + 0.537844i \(0.180761\pi\)
−0.788102 + 0.615545i \(0.788936\pi\)
\(678\) −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 0.981652 + 0.190681i \(0.0610696\pi\)
−0.995332 + 0.0965056i \(0.969233\pi\)
\(684\) 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 0.262773 0.964858i \(-0.415363\pi\)
−0.704205 + 0.709997i \(0.748696\pi\)
\(692\) −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 0.0487030 0.998813i \(-0.484491\pi\)
0.328128 + 0.944633i \(0.393582\pi\)
\(702\) −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 0.267941 0.963435i \(-0.413657\pi\)
−0.975093 + 0.221795i \(0.928808\pi\)
\(710\) 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 0.481629 0.876375i \(-0.340045\pi\)
0.0265111 + 0.999649i \(0.491560\pi\)
\(720\) −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 −0.191194 0.981552i \(-0.561236\pi\)
0.998771 + 0.0495587i \(0.0157815\pi\)
\(728\) 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 −0.251705 0.967804i \(-0.580991\pi\)
−0.430315 + 0.902679i \(0.641597\pi\)
\(734\) −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 −0.550996 0.834508i \(-0.685752\pi\)
0.968824 + 0.247751i \(0.0796916\pi\)
\(740\) −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 −0.327114 0.944985i \(-0.606076\pi\)
0.995477 0.0950077i \(-0.0302876\pi\)
\(744\) −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 −0.868932 0.494932i \(-0.835193\pi\)
0.183511 + 0.983018i \(0.441254\pi\)
\(752\) −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 0.780447 0.625222i \(-0.214991\pi\)
0.572688 + 0.819773i \(0.305901\pi\)
\(758\) 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 −0.744040 0.668135i \(-0.767093\pi\)
0.824715 + 0.565548i \(0.191335\pi\)
\(762\) 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 −0.574987 0.818162i \(-0.694993\pi\)
0.505368 + 0.862904i \(0.331357\pi\)
\(770\) −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
\(773\) 9.69478 + 1.86852i 0.348697