Properties

Label 690.2.n.a.89.1
Level $690$
Weight $2$
Character 690.89
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.n (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 89.1
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 - 0.989821i) q^{2} +(-1.68612 + 0.396228i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(2.06421 + 0.859668i) q^{5} +(0.632155 + 1.61257i) q^{6} +(0.955977 - 0.614369i) q^{7} +(0.415415 + 0.909632i) q^{8} +(2.68601 - 1.33618i) q^{9} +O(q^{10})\) \(q+(-0.142315 - 0.989821i) q^{2} +(-1.68612 + 0.396228i) q^{3} +(-0.959493 + 0.281733i) q^{4} +(2.06421 + 0.859668i) q^{5} +(0.632155 + 1.61257i) q^{6} +(0.955977 - 0.614369i) q^{7} +(0.415415 + 0.909632i) q^{8} +(2.68601 - 1.33618i) q^{9} +(0.557150 - 2.16554i) q^{10} +(0.130034 - 0.904408i) q^{11} +(1.50619 - 0.855213i) q^{12} +(-2.47130 + 3.84542i) q^{13} +(-0.744166 - 0.858813i) q^{14} +(-3.82114 - 0.631605i) q^{15} +(0.841254 - 0.540641i) q^{16} +(-1.74601 + 5.94637i) q^{17} +(-1.70483 - 2.46851i) q^{18} +(0.111059 + 0.378232i) q^{19} +(-2.22279 - 0.243289i) q^{20} +(-1.36846 + 1.41469i) q^{21} -0.913708 q^{22} +(1.02121 - 4.68584i) q^{23} +(-1.06086 - 1.36915i) q^{24} +(3.52194 + 3.54907i) q^{25} +(4.15798 + 1.89889i) q^{26} +(-3.99950 + 3.31723i) q^{27} +(-0.744166 + 0.858813i) q^{28} +(2.85664 - 9.72883i) q^{29} +(-0.0813721 + 3.87213i) q^{30} +(3.71757 + 8.14034i) q^{31} +(-0.654861 - 0.755750i) q^{32} +(0.139098 + 1.57646i) q^{33} +(6.13433 + 0.881983i) q^{34} +(2.50149 - 0.446366i) q^{35} +(-2.20076 + 2.03879i) q^{36} +(4.47941 + 5.16952i) q^{37} +(0.358577 - 0.163757i) q^{38} +(2.64325 - 7.46304i) q^{39} +(0.0755234 + 2.23479i) q^{40} +(7.60595 + 6.59060i) q^{41} +(1.59504 + 1.15320i) q^{42} +(-1.93387 + 4.23459i) q^{43} +(0.130034 + 0.904408i) q^{44} +(6.69316 - 0.449078i) q^{45} +(-4.78348 - 0.343953i) q^{46} +8.91322 q^{47} +(-1.20424 + 1.24491i) q^{48} +(-2.37146 + 5.19278i) q^{49} +(3.01172 - 3.99118i) q^{50} +(0.587869 - 10.7181i) q^{51} +(1.28782 - 4.38590i) q^{52} +(0.827835 + 1.28814i) q^{53} +(3.85265 + 3.48670i) q^{54} +(1.04591 - 1.75510i) q^{55} +(0.955977 + 0.614369i) q^{56} +(-0.337125 - 0.593741i) q^{57} +(-10.0363 - 1.44301i) q^{58} +(2.84841 - 4.43222i) q^{59} +(3.84430 - 0.470518i) q^{60} +(6.70797 - 3.06343i) q^{61} +(7.52841 - 4.83822i) q^{62} +(1.74686 - 2.92755i) q^{63} +(-0.654861 + 0.755750i) q^{64} +(-8.40707 + 5.81326i) q^{65} +(1.54062 - 0.362037i) q^{66} +(-0.882061 - 6.13487i) q^{67} -6.19741i q^{68} +(0.134775 + 8.30553i) q^{69} +(-0.797822 - 2.41251i) q^{70} +(-9.58910 + 1.37871i) q^{71} +(2.33124 + 1.88821i) q^{72} +(-1.47294 - 5.01637i) q^{73} +(4.47941 - 5.16952i) q^{74} +(-7.34466 - 4.58867i) q^{75} +(-0.213121 - 0.331622i) q^{76} +(-0.431331 - 0.944482i) q^{77} +(-7.76325 - 1.55424i) q^{78} +(1.62557 - 2.52943i) q^{79} +(2.20130 - 0.392799i) q^{80} +(5.42927 - 7.17796i) q^{81} +(5.44107 - 8.46648i) q^{82} +(7.96766 - 6.90401i) q^{83} +(0.914468 - 1.74292i) q^{84} +(-8.71604 + 10.7736i) q^{85} +(4.46670 + 1.31154i) q^{86} +(-0.961810 + 17.5359i) q^{87} +(0.876696 - 0.257421i) q^{88} +(-6.57963 + 14.4074i) q^{89} +(-1.39704 - 6.56112i) q^{90} +5.19442i q^{91} +(0.340309 + 4.78374i) q^{92} +(-9.49370 - 12.2526i) q^{93} +(-1.26848 - 8.82250i) q^{94} +(-0.0959048 + 0.876226i) q^{95} +(1.40362 + 1.01481i) q^{96} +(-10.6822 + 12.3279i) q^{97} +(5.47742 + 1.60831i) q^{98} +(-0.859176 - 2.60299i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 0.989821i −0.100632 0.699909i
\(3\) −1.68612 + 0.396228i −0.973482 + 0.228762i
\(4\) −0.959493 + 0.281733i −0.479746 + 0.140866i
\(5\) 2.06421 + 0.859668i 0.923144 + 0.384455i
\(6\) 0.632155 + 1.61257i 0.258076 + 0.658329i
\(7\) 0.955977 0.614369i 0.361325 0.232210i −0.347364 0.937730i \(-0.612923\pi\)
0.708689 + 0.705521i \(0.249287\pi\)
\(8\) 0.415415 + 0.909632i 0.146871 + 0.321603i
\(9\) 2.68601 1.33618i 0.895336 0.445392i
\(10\) 0.557150 2.16554i 0.176186 0.684805i
\(11\) 0.130034 0.904408i 0.0392068 0.272689i −0.960783 0.277303i \(-0.910559\pi\)
0.999989 + 0.00461363i \(0.00146857\pi\)
\(12\) 1.50619 0.855213i 0.434800 0.246879i
\(13\) −2.47130 + 3.84542i −0.685415 + 1.06653i 0.307936 + 0.951407i \(0.400362\pi\)
−0.993352 + 0.115120i \(0.963275\pi\)
\(14\) −0.744166 0.858813i −0.198887 0.229527i
\(15\) −3.82114 0.631605i −0.986613 0.163080i
\(16\) 0.841254 0.540641i 0.210313 0.135160i
\(17\) −1.74601 + 5.94637i −0.423470 + 1.44221i 0.421224 + 0.906957i \(0.361601\pi\)
−0.844694 + 0.535250i \(0.820217\pi\)
\(18\) −1.70483 2.46851i −0.401833 0.581833i
\(19\) 0.111059 + 0.378232i 0.0254787 + 0.0867725i 0.971251 0.238058i \(-0.0765109\pi\)
−0.945772 + 0.324831i \(0.894693\pi\)
\(20\) −2.22279 0.243289i −0.497032 0.0544012i
\(21\) −1.36846 + 1.41469i −0.298623 + 0.308710i
\(22\) −0.913708 −0.194803
\(23\) 1.02121 4.68584i 0.212937 0.977066i
\(24\) −1.06086 1.36915i −0.216547 0.279477i
\(25\) 3.52194 + 3.54907i 0.704389 + 0.709815i
\(26\) 4.15798 + 1.89889i 0.815447 + 0.372402i
\(27\) −3.99950 + 3.31723i −0.769704 + 0.638400i
\(28\) −0.744166 + 0.858813i −0.140634 + 0.162300i
\(29\) 2.85664 9.72883i 0.530465 1.80660i −0.0583057 0.998299i \(-0.518570\pi\)
0.588771 0.808300i \(-0.299612\pi\)
\(30\) −0.0813721 + 3.87213i −0.0148564 + 0.706951i
\(31\) 3.71757 + 8.14034i 0.667695 + 1.46205i 0.875174 + 0.483808i \(0.160747\pi\)
−0.207479 + 0.978239i \(0.566526\pi\)
\(32\) −0.654861 0.755750i −0.115764 0.133599i
\(33\) 0.139098 + 1.57646i 0.0242139 + 0.274427i
\(34\) 6.13433 + 0.881983i 1.05203 + 0.151259i
\(35\) 2.50149 0.446366i 0.422830 0.0754496i
\(36\) −2.20076 + 2.03879i −0.366793 + 0.339798i
\(37\) 4.47941 + 5.16952i 0.736411 + 0.849864i 0.993178 0.116610i \(-0.0372026\pi\)
−0.256767 + 0.966473i \(0.582657\pi\)
\(38\) 0.358577 0.163757i 0.0581689 0.0265648i
\(39\) 2.64325 7.46304i 0.423259 1.19504i
\(40\) 0.0755234 + 2.23479i 0.0119413 + 0.353352i
\(41\) 7.60595 + 6.59060i 1.18785 + 1.02928i 0.998881 + 0.0472953i \(0.0150602\pi\)
0.188969 + 0.981983i \(0.439485\pi\)
\(42\) 1.59504 + 1.15320i 0.246120 + 0.177943i
\(43\) −1.93387 + 4.23459i −0.294913 + 0.645769i −0.997854 0.0654792i \(-0.979142\pi\)
0.702941 + 0.711248i \(0.251870\pi\)
\(44\) 0.130034 + 0.904408i 0.0196034 + 0.136345i
\(45\) 6.69316 0.449078i 0.997757 0.0669446i
\(46\) −4.78348 0.343953i −0.705286 0.0507130i
\(47\) 8.91322 1.30013 0.650063 0.759880i \(-0.274742\pi\)
0.650063 + 0.759880i \(0.274742\pi\)
\(48\) −1.20424 + 1.24491i −0.173817 + 0.179688i
\(49\) −2.37146 + 5.19278i −0.338780 + 0.741825i
\(50\) 3.01172 3.99118i 0.425922 0.564438i
\(51\) 0.587869 10.7181i 0.0823181 1.50084i
\(52\) 1.28782 4.38590i 0.178588 0.608215i
\(53\) 0.827835 + 1.28814i 0.113712 + 0.176939i 0.893445 0.449173i \(-0.148281\pi\)
−0.779733 + 0.626113i \(0.784645\pi\)
\(54\) 3.85265 + 3.48670i 0.524279 + 0.474480i
\(55\) 1.04591 1.75510i 0.141030 0.236658i
\(56\) 0.955977 + 0.614369i 0.127748 + 0.0820986i
\(57\) −0.337125 0.593741i −0.0446533 0.0786429i
\(58\) −10.0363 1.44301i −1.31784 0.189476i
\(59\) 2.84841 4.43222i 0.370832 0.577025i −0.604817 0.796365i \(-0.706754\pi\)
0.975649 + 0.219339i \(0.0703901\pi\)
\(60\) 3.84430 0.470518i 0.496297 0.0607435i
\(61\) 6.70797 3.06343i 0.858868 0.392232i 0.0632259 0.997999i \(-0.479861\pi\)
0.795642 + 0.605768i \(0.207134\pi\)
\(62\) 7.52841 4.83822i 0.956110 0.614454i
\(63\) 1.74686 2.92755i 0.220083 0.368837i
\(64\) −0.654861 + 0.755750i −0.0818576 + 0.0944687i
\(65\) −8.40707 + 5.81326i −1.04277 + 0.721046i
\(66\) 1.54062 0.362037i 0.189637 0.0445636i
\(67\) −0.882061 6.13487i −0.107761 0.749493i −0.970020 0.243026i \(-0.921860\pi\)
0.862259 0.506468i \(-0.169049\pi\)
\(68\) 6.19741i 0.751546i
\(69\) 0.134775 + 8.30553i 0.0162250 + 0.999868i
\(70\) −0.797822 2.41251i −0.0953580 0.288350i
\(71\) −9.58910 + 1.37871i −1.13802 + 0.163622i −0.685458 0.728112i \(-0.740398\pi\)
−0.452559 + 0.891734i \(0.649489\pi\)
\(72\) 2.33124 + 1.88821i 0.274739 + 0.222528i
\(73\) −1.47294 5.01637i −0.172395 0.587122i −0.999679 0.0253387i \(-0.991934\pi\)
0.827284 0.561784i \(-0.189885\pi\)
\(74\) 4.47941 5.16952i 0.520721 0.600945i
\(75\) −7.34466 4.58867i −0.848089 0.529854i
\(76\) −0.213121 0.331622i −0.0244466 0.0380397i
\(77\) −0.431331 0.944482i −0.0491547 0.107634i
\(78\) −7.76325 1.55424i −0.879015 0.175983i
\(79\) 1.62557 2.52943i 0.182891 0.284584i −0.737687 0.675143i \(-0.764082\pi\)
0.920578 + 0.390559i \(0.127718\pi\)
\(80\) 2.20130 0.392799i 0.246113 0.0439162i
\(81\) 5.42927 7.17796i 0.603252 0.797551i
\(82\) 5.44107 8.46648i 0.600866 0.934966i
\(83\) 7.96766 6.90401i 0.874564 0.757814i −0.0968267 0.995301i \(-0.530869\pi\)
0.971391 + 0.237487i \(0.0763238\pi\)
\(84\) 0.914468 1.74292i 0.0997766 0.190168i
\(85\) −8.71604 + 10.7736i −0.945388 + 1.16856i
\(86\) 4.46670 + 1.31154i 0.481657 + 0.141427i
\(87\) −0.961810 + 17.5359i −0.103117 + 1.88004i
\(88\) 0.876696 0.257421i 0.0934561 0.0274412i
\(89\) −6.57963 + 14.4074i −0.697439 + 1.52718i 0.145610 + 0.989342i \(0.453486\pi\)
−0.843049 + 0.537837i \(0.819242\pi\)
\(90\) −1.39704 6.56112i −0.147261 0.691603i
\(91\) 5.19442i 0.544524i
\(92\) 0.340309 + 4.78374i 0.0354796 + 0.498740i
\(93\) −9.49370 12.2526i −0.984450 1.27053i
\(94\) −1.26848 8.82250i −0.130834 0.909971i
\(95\) −0.0959048 + 0.876226i −0.00983962 + 0.0898989i
\(96\) 1.40362 + 1.01481i 0.143257 + 0.103574i
\(97\) −10.6822 + 12.3279i −1.08461 + 1.25171i −0.118677 + 0.992933i \(0.537865\pi\)
−0.965937 + 0.258778i \(0.916680\pi\)
\(98\) 5.47742 + 1.60831i 0.553303 + 0.162464i
\(99\) −0.859176 2.60299i −0.0863504 0.261611i
\(100\) −4.37917 2.41306i −0.437917 0.241306i
\(101\) −4.75115 + 4.11690i −0.472757 + 0.409647i −0.858384 0.513008i \(-0.828531\pi\)
0.385626 + 0.922655i \(0.373985\pi\)
\(102\) −10.6927 + 0.943462i −1.05873 + 0.0934167i
\(103\) 0.422456 2.93825i 0.0416259 0.289514i −0.958366 0.285542i \(-0.907826\pi\)
0.999992 0.00397239i \(-0.00126445\pi\)
\(104\) −4.52453 0.650529i −0.443667 0.0637897i
\(105\) −4.04096 + 1.74379i −0.394357 + 0.170176i
\(106\) 1.15721 1.00273i 0.112398 0.0973938i
\(107\) 14.2352 6.50102i 1.37617 0.628477i 0.416381 0.909190i \(-0.363298\pi\)
0.959792 + 0.280713i \(0.0905708\pi\)
\(108\) 2.90292 4.30964i 0.279334 0.414696i
\(109\) −1.71763 + 5.84972i −0.164519 + 0.560301i 0.835423 + 0.549607i \(0.185222\pi\)
−0.999943 + 0.0106947i \(0.996596\pi\)
\(110\) −1.88609 0.785485i −0.179831 0.0748931i
\(111\) −9.60114 6.94157i −0.911300 0.658864i
\(112\) 0.472066 1.03368i 0.0446061 0.0976737i
\(113\) −9.64896 + 1.38731i −0.907698 + 0.130507i −0.580322 0.814387i \(-0.697073\pi\)
−0.327376 + 0.944894i \(0.606164\pi\)
\(114\) −0.539719 + 0.418192i −0.0505494 + 0.0391673i
\(115\) 6.13627 8.79467i 0.572210 0.820107i
\(116\) 10.1396i 0.941434i
\(117\) −1.49977 + 13.6309i −0.138654 + 1.26018i
\(118\) −4.79247 2.18865i −0.441183 0.201482i
\(119\) 1.98412 + 6.75729i 0.181884 + 0.619440i
\(120\) −1.01283 3.73821i −0.0924582 0.341250i
\(121\) 9.75338 + 2.86385i 0.886671 + 0.260350i
\(122\) −3.98689 6.20372i −0.360956 0.561659i
\(123\) −15.4359 8.09885i −1.39181 0.730249i
\(124\) −5.86038 6.76324i −0.526277 0.607356i
\(125\) 4.21901 + 10.3537i 0.377360 + 0.926067i
\(126\) −3.14636 1.31244i −0.280300 0.116922i
\(127\) −14.7504 2.12078i −1.30888 0.188189i −0.547673 0.836693i \(-0.684486\pi\)
−0.761212 + 0.648504i \(0.775395\pi\)
\(128\) 0.841254 + 0.540641i 0.0743570 + 0.0477863i
\(129\) 1.58288 7.90628i 0.139365 0.696109i
\(130\) 6.95054 + 7.49419i 0.609603 + 0.657284i
\(131\) 0.345636 + 0.537820i 0.0301983 + 0.0469895i 0.856025 0.516935i \(-0.172927\pi\)
−0.825826 + 0.563925i \(0.809291\pi\)
\(132\) −0.577605 1.47342i −0.0502741 0.128245i
\(133\) 0.338544 + 0.293350i 0.0293555 + 0.0254367i
\(134\) −5.94689 + 1.74617i −0.513733 + 0.150846i
\(135\) −11.1075 + 3.40922i −0.955984 + 0.293419i
\(136\) −6.13433 + 0.881983i −0.526014 + 0.0756295i
\(137\) 10.6373i 0.908803i −0.890797 0.454402i \(-0.849853\pi\)
0.890797 0.454402i \(-0.150147\pi\)
\(138\) 8.20181 1.31540i 0.698185 0.111975i
\(139\) −9.73039 −0.825321 −0.412661 0.910885i \(-0.635400\pi\)
−0.412661 + 0.910885i \(0.635400\pi\)
\(140\) −2.27441 + 1.13304i −0.192223 + 0.0957591i
\(141\) −15.0288 + 3.53167i −1.26565 + 0.297420i
\(142\) 2.72934 + 9.29529i 0.229041 + 0.780043i
\(143\) 3.15647 + 2.73510i 0.263958 + 0.228721i
\(144\) 1.53722 2.57623i 0.128102 0.214686i
\(145\) 14.2603 17.6266i 1.18425 1.46381i
\(146\) −4.75569 + 2.17185i −0.393584 + 0.179744i
\(147\) 1.94105 9.69529i 0.160095 0.799654i
\(148\) −5.75439 3.69812i −0.473008 0.303984i
\(149\) 1.24372 8.65025i 0.101889 0.708656i −0.873284 0.487212i \(-0.838014\pi\)
0.975173 0.221444i \(-0.0710770\pi\)
\(150\) −3.49671 + 7.92294i −0.285505 + 0.646905i
\(151\) −1.99413 1.28155i −0.162280 0.104291i 0.456980 0.889477i \(-0.348931\pi\)
−0.619260 + 0.785186i \(0.712567\pi\)
\(152\) −0.297917 + 0.258146i −0.0241642 + 0.0209384i
\(153\) 3.25560 + 18.3050i 0.263200 + 1.47987i
\(154\) −0.873484 + 0.561354i −0.0703874 + 0.0452352i
\(155\) 0.675862 + 19.9993i 0.0542865 + 1.60638i
\(156\) −0.433598 + 7.90542i −0.0347156 + 0.632940i
\(157\) 17.4466 5.12278i 1.39239 0.408843i 0.502326 0.864678i \(-0.332478\pi\)
0.890064 + 0.455836i \(0.150660\pi\)
\(158\) −2.73503 1.24905i −0.217587 0.0993688i
\(159\) −1.90623 1.84394i −0.151174 0.146234i
\(160\) −0.702078 2.12299i −0.0555041 0.167837i
\(161\) −1.90258 5.10696i −0.149945 0.402485i
\(162\) −7.87756 4.35247i −0.618920 0.341963i
\(163\) −15.4066 + 2.21514i −1.20674 + 0.173503i −0.716186 0.697909i \(-0.754114\pi\)
−0.490552 + 0.871412i \(0.663205\pi\)
\(164\) −9.15464 4.18079i −0.714858 0.326465i
\(165\) −1.06811 + 3.37373i −0.0831520 + 0.262645i
\(166\) −7.96766 6.90401i −0.618410 0.535855i
\(167\) −6.41448 1.88346i −0.496367 0.145747i 0.0239611 0.999713i \(-0.492372\pi\)
−0.520328 + 0.853966i \(0.674190\pi\)
\(168\) −1.85532 0.657116i −0.143141 0.0506976i
\(169\) −3.27952 7.18116i −0.252271 0.552397i
\(170\) 11.9043 + 7.09409i 0.913022 + 0.544092i
\(171\) 0.803691 + 0.867540i 0.0614597 + 0.0663425i
\(172\) 0.662515 4.60789i 0.0505163 0.351348i
\(173\) 2.76882 19.2576i 0.210510 1.46413i −0.560950 0.827850i \(-0.689564\pi\)
0.771460 0.636278i \(-0.219527\pi\)
\(174\) 17.4943 1.54359i 1.32624 0.117020i
\(175\) 5.54734 + 1.22906i 0.419339 + 0.0929082i
\(176\) −0.379568 0.831138i −0.0286110 0.0626494i
\(177\) −3.04660 + 8.60187i −0.228996 + 0.646556i
\(178\) 15.1971 + 4.46227i 1.13907 + 0.334462i
\(179\) 3.40016 + 2.94626i 0.254140 + 0.220214i 0.772608 0.634883i \(-0.218952\pi\)
−0.518468 + 0.855097i \(0.673497\pi\)
\(180\) −6.29552 + 2.31657i −0.469240 + 0.172667i
\(181\) −13.5975 6.20977i −1.01069 0.461569i −0.159937 0.987127i \(-0.551129\pi\)
−0.850758 + 0.525558i \(0.823856\pi\)
\(182\) 5.14155 0.739244i 0.381117 0.0547964i
\(183\) −10.0966 + 7.82319i −0.746365 + 0.578307i
\(184\) 4.68662 1.01764i 0.345502 0.0750216i
\(185\) 4.80239 + 14.5218i 0.353079 + 1.06766i
\(186\) −10.7768 + 11.1408i −0.790192 + 0.816882i
\(187\) 5.15090 + 2.35234i 0.376671 + 0.172020i
\(188\) −8.55217 + 2.51114i −0.623731 + 0.183144i
\(189\) −1.78543 + 5.62836i −0.129871 + 0.409403i
\(190\) 0.880956 0.0297713i 0.0639112 0.00215984i
\(191\) 6.66753 4.28496i 0.482445 0.310049i −0.276715 0.960952i \(-0.589246\pi\)
0.759161 + 0.650903i \(0.225610\pi\)
\(192\) 0.804725 1.53376i 0.0580760 0.110690i
\(193\) 5.97374 5.17628i 0.429999 0.372597i −0.412802 0.910821i \(-0.635450\pi\)
0.842802 + 0.538224i \(0.180905\pi\)
\(194\) 13.7227 + 8.81903i 0.985231 + 0.633170i
\(195\) 11.8720 13.1330i 0.850169 0.940472i
\(196\) 0.812427 5.65055i 0.0580305 0.403611i
\(197\) 4.26621 + 2.74173i 0.303955 + 0.195340i 0.683723 0.729742i \(-0.260360\pi\)
−0.379768 + 0.925082i \(0.623996\pi\)
\(198\) −2.45423 + 1.22088i −0.174414 + 0.0867638i
\(199\) −10.9150 + 4.98472i −0.773745 + 0.353357i −0.762844 0.646583i \(-0.776197\pi\)
−0.0109014 + 0.999941i \(0.503470\pi\)
\(200\) −1.76528 + 4.67801i −0.124824 + 0.330785i
\(201\) 3.91807 + 9.99463i 0.276359 + 0.704967i
\(202\) 4.75115 + 4.11690i 0.334290 + 0.289664i
\(203\) −3.24621 11.0556i −0.227839 0.775949i
\(204\) 2.45559 + 10.4496i 0.171925 + 0.731617i
\(205\) 10.0346 + 20.1430i 0.700845 + 1.40685i
\(206\) −2.96846 −0.206823
\(207\) −3.51813 13.9507i −0.244527 0.969642i
\(208\) 4.57106i 0.316946i
\(209\) 0.356518 0.0512595i 0.0246608 0.00354569i
\(210\) 2.30113 + 3.75166i 0.158793 + 0.258889i
\(211\) 15.8447 4.65242i 1.09079 0.320286i 0.313605 0.949554i \(-0.398463\pi\)
0.777188 + 0.629268i \(0.216645\pi\)
\(212\) −1.15721 1.00273i −0.0794777 0.0688678i
\(213\) 15.6221 6.12413i 1.07041 0.419619i
\(214\) −8.46074 13.1652i −0.578364 0.899952i
\(215\) −7.63226 + 7.07860i −0.520516 + 0.482757i
\(216\) −4.67891 2.26005i −0.318359 0.153777i
\(217\) 8.55508 + 5.49802i 0.580757 + 0.373230i
\(218\) 6.03462 + 0.867648i 0.408716 + 0.0587645i
\(219\) 4.47118 + 7.87459i 0.302135 + 0.532116i
\(220\) −0.509072 + 1.97868i −0.0343216 + 0.133402i
\(221\) −18.5514 21.4094i −1.24790 1.44015i
\(222\) −5.50453 + 10.4913i −0.369440 + 0.704130i
\(223\) −5.77324 8.98334i −0.386605 0.601569i 0.592341 0.805687i \(-0.298204\pi\)
−0.978946 + 0.204118i \(0.934567\pi\)
\(224\) −1.09034 0.320153i −0.0728515 0.0213911i
\(225\) 14.2021 + 4.82690i 0.946810 + 0.321793i
\(226\) 2.74638 + 9.35332i 0.182687 + 0.622173i
\(227\) −6.55117 2.99182i −0.434817 0.198574i 0.185967 0.982556i \(-0.440458\pi\)
−0.620784 + 0.783982i \(0.713186\pi\)
\(228\) 0.490745 + 0.474711i 0.0325004 + 0.0314385i
\(229\) 14.7923i 0.977502i −0.872423 0.488751i \(-0.837453\pi\)
0.872423 0.488751i \(-0.162547\pi\)
\(230\) −9.57844 4.82220i −0.631583 0.317966i
\(231\) 1.10151 + 1.42161i 0.0724738 + 0.0935348i
\(232\) 10.0363 1.44301i 0.658919 0.0947382i
\(233\) −3.13206 + 6.85824i −0.205188 + 0.449299i −0.984049 0.177898i \(-0.943070\pi\)
0.778861 + 0.627196i \(0.215798\pi\)
\(234\) 13.7056 0.455375i 0.895964 0.0297688i
\(235\) 18.3988 + 7.66241i 1.20020 + 0.499840i
\(236\) −1.48433 + 5.05517i −0.0966218 + 0.329064i
\(237\) −1.73867 + 4.90903i −0.112939 + 0.318876i
\(238\) 6.40614 2.92559i 0.415249 0.189638i
\(239\) −12.4756 + 10.8101i −0.806976 + 0.699249i −0.957208 0.289402i \(-0.906544\pi\)
0.150231 + 0.988651i \(0.451998\pi\)
\(240\) −3.55602 + 1.53452i −0.229540 + 0.0990529i
\(241\) 8.53816 + 1.22760i 0.549991 + 0.0790768i 0.411708 0.911316i \(-0.364932\pi\)
0.138283 + 0.990393i \(0.455842\pi\)
\(242\) 1.44665 10.0617i 0.0929942 0.646789i
\(243\) −6.31029 + 14.2541i −0.404805 + 0.914403i
\(244\) −5.57318 + 4.82919i −0.356786 + 0.309157i
\(245\) −9.35926 + 8.68032i −0.597941 + 0.554566i
\(246\) −5.81965 + 16.4314i −0.371048 + 1.04763i
\(247\) −1.72892 0.507657i −0.110009 0.0323015i
\(248\) −5.86038 + 6.76324i −0.372134 + 0.429466i
\(249\) −10.6989 + 14.7980i −0.678013 + 0.937786i
\(250\) 9.64793 5.64956i 0.610188 0.357310i
\(251\) −3.58418 24.9285i −0.226231 1.57347i −0.713776 0.700375i \(-0.753016\pi\)
0.487544 0.873098i \(-0.337893\pi\)
\(252\) −0.851308 + 3.30111i −0.0536274 + 0.207951i
\(253\) −4.10512 1.53291i −0.258087 0.0963733i
\(254\) 14.9021i 0.935038i
\(255\) 10.4275 21.6191i 0.652996 1.35384i
\(256\) 0.415415 0.909632i 0.0259634 0.0568520i
\(257\) −12.4856 + 3.66611i −0.778831 + 0.228686i −0.646902 0.762573i \(-0.723936\pi\)
−0.131930 + 0.991259i \(0.542117\pi\)
\(258\) −8.05107 0.441586i −0.501238 0.0274920i
\(259\) 7.45821 + 2.18993i 0.463431 + 0.136076i
\(260\) 6.42874 7.94633i 0.398694 0.492810i
\(261\) −5.32647 29.9487i −0.329700 1.85378i
\(262\) 0.483156 0.418657i 0.0298495 0.0258647i
\(263\) 9.83503 15.3036i 0.606454 0.943661i −0.393252 0.919431i \(-0.628650\pi\)
0.999706 0.0242305i \(-0.00771358\pi\)
\(264\) −1.37622 + 0.781415i −0.0847004 + 0.0480928i
\(265\) 0.601458 + 3.37065i 0.0369473 + 0.207057i
\(266\) 0.242185 0.376847i 0.0148493 0.0231059i
\(267\) 5.38544 26.8996i 0.329584 1.64623i
\(268\) 2.57472 + 5.63786i 0.157276 + 0.344387i
\(269\) −5.64427 8.78265i −0.344137 0.535488i 0.625440 0.780272i \(-0.284919\pi\)
−0.969578 + 0.244784i \(0.921283\pi\)
\(270\) 4.95528 + 10.5093i 0.301569 + 0.639575i
\(271\) −0.564550 + 0.651525i −0.0342939 + 0.0395773i −0.772637 0.634848i \(-0.781063\pi\)
0.738343 + 0.674425i \(0.235608\pi\)
\(272\) 1.74601 + 5.94637i 0.105868 + 0.360552i
\(273\) −2.05818 8.75843i −0.124566 0.530084i
\(274\) −10.5290 + 1.51384i −0.636080 + 0.0914545i
\(275\) 3.66778 2.72377i 0.221176 0.164250i
\(276\) −2.46925 7.93113i −0.148632 0.477398i
\(277\) 13.4347i 0.807212i −0.914933 0.403606i \(-0.867757\pi\)
0.914933 0.403606i \(-0.132243\pi\)
\(278\) 1.38478 + 9.63135i 0.0830536 + 0.577650i
\(279\) 20.8623 + 16.8977i 1.24900 + 1.01164i
\(280\) 1.44519 + 2.09001i 0.0863664 + 0.124902i
\(281\) 8.66510 10.0001i 0.516917 0.596554i −0.435939 0.899976i \(-0.643584\pi\)
0.952856 + 0.303422i \(0.0981293\pi\)
\(282\) 5.63454 + 14.3732i 0.335532 + 0.855911i
\(283\) −25.3685 + 16.3033i −1.50800 + 0.969132i −0.514232 + 0.857651i \(0.671923\pi\)
−0.993767 + 0.111481i \(0.964441\pi\)
\(284\) 8.81225 4.02442i 0.522911 0.238805i
\(285\) −0.185478 1.51542i −0.0109868 0.0897659i
\(286\) 2.25805 3.51359i 0.133521 0.207763i
\(287\) 11.3202 + 1.62760i 0.668209 + 0.0960740i
\(288\) −2.76878 1.15494i −0.163152 0.0680554i
\(289\) −18.0095 11.5740i −1.05938 0.680822i
\(290\) −19.4766 11.6066i −1.14371 0.681563i
\(291\) 13.1268 25.0190i 0.769508 1.46664i
\(292\) 2.82655 + 4.39820i 0.165411 + 0.257385i
\(293\) 2.12053 7.22185i 0.123882 0.421905i −0.874075 0.485791i \(-0.838531\pi\)
0.997957 + 0.0638867i \(0.0203496\pi\)
\(294\) −9.87285 0.541507i −0.575796 0.0315813i
\(295\) 9.68996 6.70035i 0.564171 0.390109i
\(296\) −2.84154 + 6.22212i −0.165161 + 0.361653i
\(297\) 2.48005 + 4.04853i 0.143907 + 0.234920i
\(298\) −8.73920 −0.506248
\(299\) 15.4953 + 15.5071i 0.896117 + 0.896800i
\(300\) 8.33993 + 2.33357i 0.481506 + 0.134729i
\(301\) 0.752864 + 5.23628i 0.0433943 + 0.301814i
\(302\) −0.984710 + 2.15621i −0.0566637 + 0.124076i
\(303\) 6.37979 8.82413i 0.366509 0.506933i
\(304\) 0.297917 + 0.258146i 0.0170867 + 0.0148057i
\(305\) 16.4802 0.556938i 0.943654 0.0318902i
\(306\) 17.6553 5.82753i 1.00929 0.333138i
\(307\) −20.7597 + 9.48065i −1.18482 + 0.541090i −0.907649 0.419731i \(-0.862124\pi\)
−0.277172 + 0.960820i \(0.589397\pi\)
\(308\) 0.679950 + 0.784704i 0.0387438 + 0.0447127i
\(309\) 0.451904 + 5.12163i 0.0257079 + 0.291359i
\(310\) 19.6995 3.51517i 1.11886 0.199648i
\(311\) 7.18241 + 1.03267i 0.407277 + 0.0585576i 0.342909 0.939369i \(-0.388588\pi\)
0.0643681 + 0.997926i \(0.479497\pi\)
\(312\) 7.88666 0.695875i 0.446494 0.0393961i
\(313\) −11.7474 13.5572i −0.664001 0.766298i 0.319424 0.947612i \(-0.396511\pi\)
−0.983425 + 0.181313i \(0.941965\pi\)
\(314\) −7.55355 16.5400i −0.426271 0.933404i
\(315\) 6.12261 4.54138i 0.344970 0.255878i
\(316\) −0.847098 + 2.88495i −0.0476530 + 0.162291i
\(317\) −8.78306 + 10.1362i −0.493306 + 0.569305i −0.946746 0.321982i \(-0.895651\pi\)
0.453440 + 0.891287i \(0.350197\pi\)
\(318\) −1.55389 + 2.14924i −0.0871378 + 0.120524i
\(319\) −8.42737 3.84865i −0.471842 0.215483i
\(320\) −2.00146 + 0.997065i −0.111885 + 0.0557376i
\(321\) −21.4265 + 16.6019i −1.19591 + 0.926628i
\(322\) −4.78421 + 2.61001i −0.266614 + 0.145450i
\(323\) −2.44302 −0.135933
\(324\) −3.18708 + 8.41680i −0.177060 + 0.467600i
\(325\) −22.3515 + 4.77252i −1.23984 + 0.264732i
\(326\) 4.38518 + 14.9345i 0.242872 + 0.827148i
\(327\) 0.578314 10.5439i 0.0319808 0.583079i
\(328\) −2.83539 + 9.65645i −0.156558 + 0.533188i
\(329\) 8.52084 5.47601i 0.469769 0.301902i
\(330\) 3.49140 + 0.577103i 0.192195 + 0.0317685i
\(331\) 10.6386 + 12.2776i 0.584748 + 0.674836i 0.968619 0.248551i \(-0.0799545\pi\)
−0.383870 + 0.923387i \(0.625409\pi\)
\(332\) −5.69983 + 8.86910i −0.312819 + 0.486755i
\(333\) 18.9391 + 7.90008i 1.03786 + 0.432922i
\(334\) −0.951414 + 6.61723i −0.0520591 + 0.362079i
\(335\) 3.45319 13.4219i 0.188668 0.733319i
\(336\) −0.386387 + 1.92996i −0.0210792 + 0.105288i
\(337\) −0.990198 2.16823i −0.0539395 0.118111i 0.880743 0.473594i \(-0.157044\pi\)
−0.934683 + 0.355483i \(0.884316\pi\)
\(338\) −6.64134 + 4.26813i −0.361241 + 0.232156i
\(339\) 15.7196 6.16236i 0.853773 0.334694i
\(340\) 5.32771 12.7928i 0.288936 0.693785i
\(341\) 7.84559 2.30367i 0.424863 0.124751i
\(342\) 0.744333 0.918974i 0.0402489 0.0496924i
\(343\) 2.05528 + 14.2948i 0.110975 + 0.771845i
\(344\) −4.65528 −0.250996
\(345\) −6.86179 + 17.2602i −0.369426 + 0.929260i
\(346\) −19.4556 −1.04594
\(347\) −2.54956 17.7326i −0.136867 0.951934i −0.936306 0.351186i \(-0.885779\pi\)
0.799438 0.600748i \(-0.205130\pi\)
\(348\) −4.01758 17.0965i −0.215365 0.916469i
\(349\) 4.48842 1.31792i 0.240260 0.0705466i −0.159386 0.987216i \(-0.550951\pi\)
0.399646 + 0.916670i \(0.369133\pi\)
\(350\) 0.427081 5.66579i 0.0228284 0.302849i
\(351\) −2.87215 23.5776i −0.153304 1.25848i
\(352\) −0.768660 + 0.493988i −0.0409697 + 0.0263296i
\(353\) −0.0845283 0.185091i −0.00449899 0.00985141i 0.907369 0.420335i \(-0.138087\pi\)
−0.911868 + 0.410483i \(0.865360\pi\)
\(354\) 8.94789 + 1.79142i 0.475575 + 0.0952127i
\(355\) −20.9792 5.39750i −1.11346 0.286470i
\(356\) 2.25408 15.6775i 0.119466 0.830904i
\(357\) −6.02289 10.6074i −0.318765 0.561406i
\(358\) 2.43238 3.78485i 0.128555 0.200036i
\(359\) 17.1471 + 19.7888i 0.904987 + 1.04441i 0.998808 + 0.0488218i \(0.0155466\pi\)
−0.0938202 + 0.995589i \(0.529908\pi\)
\(360\) 3.18893 + 5.90175i 0.168072 + 0.311050i
\(361\) 15.8531 10.1882i 0.834373 0.536219i
\(362\) −4.21144 + 14.3428i −0.221348 + 0.753843i
\(363\) −17.5801 0.964236i −0.922717 0.0506093i
\(364\) −1.46344 4.98401i −0.0767050 0.261233i
\(365\) 1.27195 11.6211i 0.0665771 0.608276i
\(366\) 9.18047 + 8.88051i 0.479871 + 0.464192i
\(367\) 11.5036 0.600485 0.300243 0.953863i \(-0.402932\pi\)
0.300243 + 0.953863i \(0.402932\pi\)
\(368\) −1.67426 4.49409i −0.0872768 0.234271i
\(369\) 29.2358 + 7.53949i 1.52196 + 0.392490i
\(370\) 13.6905 6.82018i 0.711737 0.354564i
\(371\) 1.58278 + 0.722833i 0.0821740 + 0.0375276i
\(372\) 12.5611 + 9.08159i 0.651262 + 0.470858i
\(373\) 1.82996 2.11188i 0.0947515 0.109349i −0.706394 0.707819i \(-0.749679\pi\)
0.801145 + 0.598470i \(0.204225\pi\)
\(374\) 1.59535 5.43325i 0.0824933 0.280947i
\(375\) −11.2162 15.7860i −0.579202 0.815184i
\(376\) 3.70268 + 8.10775i 0.190951 + 0.418125i
\(377\) 30.3518 + 35.0279i 1.56320 + 1.80403i
\(378\) 5.82517 + 0.966258i 0.299614 + 0.0496990i
\(379\) 0.210121 + 0.0302108i 0.0107932 + 0.00155183i 0.147709 0.989031i \(-0.452810\pi\)
−0.136916 + 0.990583i \(0.543719\pi\)
\(380\) −0.154841 0.867752i −0.00794319 0.0445147i
\(381\) 25.7112 2.26861i 1.31723 0.116225i
\(382\) −5.19023 5.98985i −0.265555 0.306467i
\(383\) −28.5118 + 13.0209i −1.45689 + 0.665338i −0.977242 0.212125i \(-0.931961\pi\)
−0.479644 + 0.877463i \(0.659234\pi\)
\(384\) −1.63267 0.578258i −0.0833169 0.0295091i
\(385\) −0.0784169 2.32041i −0.00399649 0.118259i
\(386\) −5.97374 5.17628i −0.304056 0.263466i
\(387\) 0.463764 + 13.9581i 0.0235745 + 0.709531i
\(388\) 6.77633 14.8381i 0.344016 0.753290i
\(389\) −2.59557 18.0526i −0.131600 0.915301i −0.943469 0.331461i \(-0.892459\pi\)
0.811869 0.583840i \(-0.198451\pi\)
\(390\) −14.6889 9.88210i −0.743799 0.500400i
\(391\) 26.0807 + 14.2540i 1.31896 + 0.720858i
\(392\) −5.70866 −0.288331
\(393\) −0.795883 0.769879i −0.0401470 0.0388352i
\(394\) 2.10668 4.61298i 0.106133 0.232398i
\(395\) 5.52999 3.82384i 0.278244 0.192398i
\(396\) 1.55772 + 2.25550i 0.0782784 + 0.113343i
\(397\) 5.20139 17.7143i 0.261050 0.889055i −0.719782 0.694200i \(-0.755758\pi\)
0.980832 0.194855i \(-0.0624236\pi\)
\(398\) 6.48735 + 10.0945i 0.325182 + 0.505992i
\(399\) −0.687060 0.360483i −0.0343960 0.0180467i
\(400\) 4.88162 + 1.08156i 0.244081 + 0.0540782i
\(401\) 0.210668 + 0.135388i 0.0105203 + 0.00676096i 0.545890 0.837857i \(-0.316192\pi\)
−0.535370 + 0.844618i \(0.679828\pi\)
\(402\) 9.33530 5.30057i 0.465602 0.264368i
\(403\) −40.4902 5.82162i −2.01696 0.289995i
\(404\) 3.39883 5.28869i 0.169098 0.263122i
\(405\) 17.3778 10.1495i 0.863510 0.504331i
\(406\) −10.4811 + 4.78654i −0.520166 + 0.237552i
\(407\) 5.25783 3.37900i 0.260621 0.167491i
\(408\) 9.99375 3.91772i 0.494765 0.193956i
\(409\) −10.4300 + 12.0368i −0.515728 + 0.595182i −0.952556 0.304363i \(-0.901556\pi\)
0.436828 + 0.899545i \(0.356102\pi\)
\(410\) 18.5099 12.7991i 0.914138 0.632102i
\(411\) 4.21478 + 17.9357i 0.207900 + 0.884704i
\(412\) 0.422456 + 2.93825i 0.0208129 + 0.144757i
\(413\) 5.98708i 0.294605i
\(414\) −13.3080 + 5.46772i −0.654055 + 0.268724i
\(415\) 22.3821 7.40181i 1.09869 0.363341i
\(416\) 4.52453 0.650529i 0.221833 0.0318948i
\(417\) 16.4066 3.85545i 0.803436 0.188802i
\(418\) −0.101476 0.345594i −0.00496333 0.0169036i
\(419\) −10.4325 + 12.0398i −0.509661 + 0.588180i −0.951012 0.309154i \(-0.899954\pi\)
0.441351 + 0.897335i \(0.354500\pi\)
\(420\) 3.38599 2.81162i 0.165219 0.137193i
\(421\) 10.0357 + 15.6159i 0.489111 + 0.761072i 0.994822 0.101631i \(-0.0324062\pi\)
−0.505711 + 0.862703i \(0.668770\pi\)
\(422\) −6.86000 15.0213i −0.333939 0.731225i
\(423\) 23.9410 11.9096i 1.16405 0.579066i
\(424\) −0.827835 + 1.28814i −0.0402032 + 0.0625575i
\(425\) −27.2535 + 14.7461i −1.32199 + 0.715289i
\(426\) −8.28506 14.5915i −0.401412 0.706962i
\(427\) 4.53059 7.04974i 0.219251 0.341161i
\(428\) −11.8271 + 10.2482i −0.571683 + 0.495366i
\(429\) −6.40592 3.36103i −0.309281 0.162272i
\(430\) 8.09273 + 6.54718i 0.390266 + 0.315733i
\(431\) 6.68325 + 1.96238i 0.321921 + 0.0945244i 0.438700 0.898633i \(-0.355439\pi\)
−0.116780 + 0.993158i \(0.537257\pi\)
\(432\) −1.57117 + 4.95292i −0.0755928 + 0.238298i
\(433\) 26.5442 7.79408i 1.27563 0.374559i 0.427341 0.904090i \(-0.359450\pi\)
0.848291 + 0.529531i \(0.177632\pi\)
\(434\) 4.22454 9.25045i 0.202784 0.444036i
\(435\) −17.0604 + 35.3709i −0.817984 + 1.69591i
\(436\) 6.09668i 0.291978i
\(437\) 1.88575 0.134150i 0.0902078 0.00641726i
\(438\) 7.15813 5.54635i 0.342028 0.265015i
\(439\) 1.67590 + 11.6562i 0.0799864 + 0.556318i 0.989927 + 0.141579i \(0.0452179\pi\)
−0.909941 + 0.414739i \(0.863873\pi\)
\(440\) 2.03098 + 0.222295i 0.0968234 + 0.0105975i
\(441\) 0.568704 + 17.1165i 0.0270811 + 0.815073i
\(442\) −18.5514 + 21.4094i −0.882399 + 1.01834i
\(443\) 25.6971 + 7.54536i 1.22091 + 0.358491i 0.827812 0.561006i \(-0.189586\pi\)
0.393097 + 0.919497i \(0.371404\pi\)
\(444\) 11.1679 + 3.95543i 0.530005 + 0.187716i
\(445\) −25.9673 + 24.0836i −1.23097 + 1.14167i
\(446\) −8.07029 + 6.99294i −0.382139 + 0.331125i
\(447\) 1.33041 + 15.0782i 0.0629263 + 0.713173i
\(448\) −0.161723 + 1.12481i −0.00764068 + 0.0531421i
\(449\) 20.2233 + 2.90767i 0.954398 + 0.137222i 0.601883 0.798585i \(-0.294417\pi\)
0.352515 + 0.935806i \(0.385327\pi\)
\(450\) 2.75659 14.7445i 0.129947 0.695064i
\(451\) 6.94962 6.02188i 0.327245 0.283559i
\(452\) 8.86726 4.04954i 0.417081 0.190474i
\(453\) 3.87013 + 1.37072i 0.181834 + 0.0644018i
\(454\) −2.02904 + 6.91027i −0.0952275 + 0.324315i
\(455\) −4.46548 + 10.7224i −0.209345 + 0.502674i
\(456\) 0.400039 0.553309i 0.0187335 0.0259111i
\(457\) −4.15562 + 9.09955i −0.194392 + 0.425659i −0.981579 0.191055i \(-0.938809\pi\)
0.787187 + 0.616714i \(0.211536\pi\)
\(458\) −14.6417 + 2.10516i −0.684163 + 0.0983678i
\(459\) −12.7423 29.5744i −0.594759 1.38042i
\(460\) −3.40996 + 10.1672i −0.158990 + 0.474049i
\(461\) 17.0976i 0.796314i −0.917317 0.398157i \(-0.869650\pi\)
0.917317 0.398157i \(-0.130350\pi\)
\(462\) 1.25038 1.29261i 0.0581727 0.0601376i
\(463\) 7.29605 + 3.33199i 0.339076 + 0.154851i 0.577674 0.816268i \(-0.303961\pi\)
−0.238598 + 0.971118i \(0.576688\pi\)
\(464\) −2.85664 9.72883i −0.132616 0.451650i
\(465\) −9.06385 33.4534i −0.420326 1.55136i
\(466\) 7.23417 + 2.12415i 0.335117 + 0.0983991i
\(467\) −12.6660 19.7087i −0.586113 0.912010i −0.999999 0.00168120i \(-0.999465\pi\)
0.413885 0.910329i \(-0.364172\pi\)
\(468\) −2.40125 13.5013i −0.110998 0.624098i
\(469\) −4.61230 5.32288i −0.212976 0.245788i
\(470\) 4.96600 19.3020i 0.229064 0.890334i
\(471\) −27.3873 + 15.5505i −1.26194 + 0.716527i
\(472\) 5.21496 + 0.749798i 0.240038 + 0.0345122i
\(473\) 3.57832 + 2.29965i 0.164532 + 0.105738i
\(474\) 5.10650 + 1.02235i 0.234549 + 0.0469580i
\(475\) −0.951231 + 1.72627i −0.0436455 + 0.0792067i
\(476\) −3.80750 5.92458i −0.174516 0.271553i
\(477\) 3.94475 + 2.35381i 0.180618 + 0.107774i
\(478\) 12.4756 + 10.8101i 0.570619 + 0.494444i
\(479\) −39.1601 + 11.4984i −1.78927 + 0.525377i −0.996458 0.0840904i \(-0.973202\pi\)
−0.792811 + 0.609467i \(0.791383\pi\)
\(480\) 2.02498 + 3.30143i 0.0924271 + 0.150689i
\(481\) −30.9490 + 4.44979i −1.41115 + 0.202893i
\(482\) 8.62596i 0.392902i
\(483\) 5.23151 + 7.85710i 0.238042 + 0.357510i
\(484\) −10.1651 −0.462052
\(485\) −32.6483 + 16.2643i −1.48248 + 0.738524i
\(486\) 15.0071 + 4.21749i 0.680736 + 0.191309i
\(487\) 3.42982 + 11.6809i 0.155420 + 0.529312i 0.999981 0.00614729i \(-0.00195675\pi\)
−0.844561 + 0.535459i \(0.820139\pi\)
\(488\) 5.57318 + 4.82919i 0.252286 + 0.218607i
\(489\) 25.0997 9.83951i 1.13505 0.444958i
\(490\) 9.92393 + 8.02866i 0.448318 + 0.362698i
\(491\) 4.58738 2.09498i 0.207025 0.0945453i −0.309204 0.950996i \(-0.600063\pi\)
0.516229 + 0.856450i \(0.327335\pi\)
\(492\) 17.0924 + 3.42198i 0.770584 + 0.154275i
\(493\) 52.8635 + 33.9733i 2.38085 + 1.53008i
\(494\) −0.256439 + 1.78357i −0.0115377 + 0.0802467i
\(495\) 0.464189 6.11174i 0.0208638 0.274702i
\(496\) 7.52841 + 4.83822i 0.338036 + 0.217242i
\(497\) −8.31993 + 7.20926i −0.373200 + 0.323380i
\(498\) 16.1700 + 8.48399i 0.724595 + 0.380177i
\(499\) −29.3886 + 18.8869i −1.31562 + 0.845495i −0.994820 0.101653i \(-0.967587\pi\)
−0.320796 + 0.947148i \(0.603950\pi\)
\(500\) −6.96510 8.74571i −0.311489 0.391120i
\(501\) 11.5619 + 0.634147i 0.516546 + 0.0283316i
\(502\) −24.1647 + 7.09539i −1.07852 + 0.316683i
\(503\) 5.36550 + 2.45034i 0.239236 + 0.109255i 0.531425 0.847105i \(-0.321657\pi\)
−0.292190 + 0.956360i \(0.594384\pi\)
\(504\) 3.38867 + 0.372846i 0.150943 + 0.0166079i
\(505\) −13.3466 + 4.41374i −0.593914 + 0.196409i
\(506\) −0.933090 + 4.28149i −0.0414809 + 0.190336i
\(507\) 8.37505 + 10.8089i 0.371949 + 0.480038i
\(508\) 14.7504 2.12078i 0.654442 0.0940946i
\(509\) −5.65035 2.58043i −0.250447 0.114375i 0.286236 0.958159i \(-0.407596\pi\)
−0.536683 + 0.843784i \(0.680323\pi\)
\(510\) −22.8830 7.24465i −1.01328 0.320799i
\(511\) −4.49000 3.89061i −0.198626 0.172111i
\(512\) −0.959493 0.281733i −0.0424040 0.0124509i
\(513\) −1.69886 1.14433i −0.0750066 0.0505235i
\(514\) 5.40568 + 11.8368i 0.238434 + 0.522098i
\(515\) 3.39796 5.70200i 0.149732 0.251260i
\(516\) 0.708696 + 8.03197i 0.0311986 + 0.353588i
\(517\) 1.15902 8.06118i 0.0509738 0.354530i
\(518\) 1.10622 7.69396i 0.0486047 0.338053i
\(519\) 2.96183 + 33.5677i 0.130010 + 1.47346i
\(520\) −8.78035 5.23242i −0.385044 0.229457i
\(521\) 0.259221 + 0.567615i 0.0113567 + 0.0248676i 0.915225 0.402942i \(-0.132013\pi\)
−0.903869 + 0.427810i \(0.859285\pi\)
\(522\) −28.8858 + 9.53440i −1.26430 + 0.417309i
\(523\) 24.8294 + 7.29057i 1.08571 + 0.318794i 0.775162 0.631762i \(-0.217668\pi\)
0.310551 + 0.950557i \(0.399486\pi\)
\(524\) −0.483156 0.418657i −0.0211068 0.0182891i
\(525\) −9.84047 + 0.125668i −0.429473 + 0.00548458i
\(526\) −16.5475 7.55700i −0.721506 0.329501i
\(527\) −54.8964 + 7.89291i −2.39132 + 0.343820i
\(528\) 0.969318 + 1.25100i 0.0421841 + 0.0544429i
\(529\) −20.9143 9.57048i −0.909315 0.416108i
\(530\) 3.25075 1.07503i 0.141203 0.0466963i
\(531\) 1.72863 15.7109i 0.0750163 0.681797i
\(532\) −0.407477 0.186089i −0.0176664 0.00806796i
\(533\) −44.1402 + 12.9607i −1.91192 + 0.561392i
\(534\) −27.3922 1.50241i −1.18538 0.0650158i
\(535\) 34.9733 1.18190i 1.51203 0.0510980i
\(536\) 5.21405 3.35087i 0.225213 0.144735i
\(537\) −6.90048 3.62051i −0.297778 0.156236i
\(538\) −7.89000 + 6.83672i −0.340162 + 0.294752i
\(539\) 4.38802 + 2.82001i 0.189005 + 0.121466i
\(540\) 9.69711 6.40047i 0.417297 0.275432i
\(541\) 0.424572 2.95296i 0.0182538 0.126958i −0.978657 0.205501i \(-0.934118\pi\)
0.996911 + 0.0785430i \(0.0250268\pi\)
\(542\) 0.725237 + 0.466082i 0.0311516 + 0.0200199i
\(543\) 25.3875 + 5.08272i 1.08948 + 0.218120i
\(544\) 5.63736 2.57450i 0.241700 0.110381i
\(545\) −8.57437 + 10.5985i −0.367286 + 0.453988i
\(546\) −8.37637 + 3.28368i −0.358476 + 0.140529i
\(547\) 23.2611 + 20.1559i 0.994575 + 0.861804i 0.990406 0.138187i \(-0.0441276\pi\)
0.00416877 + 0.999991i \(0.498673\pi\)
\(548\) 2.99686 + 10.2064i 0.128020 + 0.435995i
\(549\) 13.9244 17.1914i 0.594278 0.733712i
\(550\) −3.21803 3.24282i −0.137217 0.138274i
\(551\) 3.99702 0.170279
\(552\) −7.49899 + 3.57284i −0.319178 + 0.152070i
\(553\) 3.41678i 0.145296i
\(554\) −13.2979 + 1.91196i −0.564976 + 0.0812312i
\(555\) −13.8514 22.5827i −0.587957 0.958580i
\(556\) 9.33625 2.74137i 0.395945 0.116260i
\(557\) 8.80579 + 7.63026i 0.373113 + 0.323304i 0.821152 0.570710i \(-0.193332\pi\)
−0.448039 + 0.894014i \(0.647877\pi\)
\(558\) 13.7567 23.0548i 0.582366 0.975987i
\(559\) −11.5046 17.9015i −0.486592 0.757152i
\(560\) 1.86307 1.72792i 0.0787289 0.0730178i
\(561\) −9.61711 1.92540i −0.406035 0.0812903i
\(562\) −11.1314 7.15375i −0.469552 0.301763i
\(563\) −8.52409 1.22558i −0.359248 0.0516520i −0.0396719 0.999213i \(-0.512631\pi\)
−0.319576 + 0.947561i \(0.603540\pi\)
\(564\) 13.4250 7.62270i 0.565295 0.320974i
\(565\) −21.1101 5.43120i −0.888110 0.228492i
\(566\) 19.7477 + 22.7900i 0.830057 + 0.957937i
\(567\) 0.780337 10.1975i 0.0327711 0.428256i
\(568\) −5.23757 8.14982i −0.219764 0.341959i
\(569\) 2.26547 + 0.665201i 0.0949733 + 0.0278867i 0.328874 0.944374i \(-0.393331\pi\)
−0.233901 + 0.972261i \(0.575149\pi\)
\(570\) −1.47360 + 0.399257i −0.0617224 + 0.0167230i
\(571\) −3.60250 12.2690i −0.150760 0.513441i 0.849132 0.528181i \(-0.177126\pi\)
−0.999891 + 0.0147407i \(0.995308\pi\)
\(572\) −3.79918 1.73503i −0.158852 0.0725451i
\(573\) −9.54444 + 9.86682i −0.398725 + 0.412192i
\(574\) 11.4366i 0.477354i
\(575\) 20.2270 12.8789i 0.843526 0.537088i
\(576\) −0.749146 + 2.90496i −0.0312144 + 0.121040i
\(577\) 25.2836 3.63524i 1.05257 0.151337i 0.405755 0.913982i \(-0.367009\pi\)
0.646817 + 0.762645i \(0.276100\pi\)
\(578\) −8.89316 + 19.4733i −0.369907 + 0.809983i
\(579\) −8.02147 + 11.0948i −0.333361 + 0.461084i
\(580\) −8.71665 + 20.9302i −0.361939 + 0.869079i
\(581\) 3.37529 11.4952i 0.140030 0.476900i
\(582\) −26.6324 9.43264i −1.10395 0.390996i
\(583\) 1.27265 0.581199i 0.0527077 0.0240708i
\(584\) 3.95117 3.42371i 0.163501 0.141674i
\(585\) −14.8139 + 26.8478i −0.612480 + 1.11002i
\(586\) −7.45012 1.07117i −0.307762 0.0442494i
\(587\) 3.99189 27.7642i 0.164763 1.14595i −0.724740 0.689022i \(-0.758040\pi\)
0.889503 0.456929i \(-0.151051\pi\)
\(588\) 0.869057 + 9.84942i 0.0358393 + 0.406183i
\(589\) −2.66607 + 2.31016i −0.109853 + 0.0951886i
\(590\) −8.01117 8.63777i −0.329815 0.355611i
\(591\) −8.27970 2.93249i −0.340581 0.120627i
\(592\) 6.56318 + 1.92712i 0.269745 + 0.0792043i
\(593\) 13.0277 15.0347i 0.534982 0.617402i −0.422336 0.906439i \(-0.638790\pi\)
0.957318 + 0.289037i \(0.0933351\pi\)
\(594\) 3.65438 3.03098i 0.149941 0.124362i
\(595\) −1.71338 + 15.6542i −0.0702418 + 0.641758i
\(596\) 1.24372 + 8.65025i 0.0509447 + 0.354328i
\(597\) 16.4289 12.7297i 0.672392 0.520991i
\(598\) 13.1441 17.5445i 0.537501 0.717447i
\(599\) 27.6371i 1.12922i −0.825357 0.564611i \(-0.809026\pi\)
0.825357 0.564611i \(-0.190974\pi\)
\(600\) 1.12292 8.58714i 0.0458431 0.350569i
\(601\) 12.5572 27.4964i 0.512219 1.12160i −0.460083 0.887876i \(-0.652180\pi\)
0.972302 0.233727i \(-0.0750922\pi\)
\(602\) 5.07584 1.49040i 0.206876 0.0607442i
\(603\) −10.5665 15.2997i −0.430301 0.623052i
\(604\) 2.27441 + 0.667826i 0.0925442 + 0.0271734i
\(605\) 17.6711 + 14.2963i 0.718432 + 0.581226i
\(606\) −9.64225 5.05905i −0.391690 0.205510i
\(607\) 22.1014 19.1510i 0.897069 0.777315i −0.0785212 0.996912i \(-0.525020\pi\)
0.975591 + 0.219597i \(0.0704744\pi\)
\(608\) 0.213121 0.331622i 0.00864319 0.0134491i
\(609\) 9.85403 + 17.3548i 0.399305 + 0.703252i
\(610\) −2.89665 16.2332i −0.117282 0.657263i
\(611\) −22.0272 + 34.2751i −0.891127 + 1.38662i
\(612\) −8.28083 16.6463i −0.334733 0.672886i
\(613\) 0.700560 + 1.53401i 0.0282953 + 0.0619581i 0.923252 0.384195i \(-0.125521\pi\)
−0.894957 + 0.446153i \(0.852794\pi\)
\(614\) 12.3386 + 19.1992i 0.497944 + 0.774816i
\(615\) −24.9007 29.9875i −1.00409 1.20921i
\(616\) 0.679950 0.784704i 0.0273960 0.0316166i
\(617\) −8.90832 30.3390i −0.358636 1.22140i −0.919366 0.393402i \(-0.871298\pi\)
0.560731 0.827998i \(-0.310520\pi\)
\(618\) 5.00519 1.17619i 0.201338 0.0473132i
\(619\) −11.5292 + 1.65765i −0.463399 + 0.0666267i −0.370060 0.929008i \(-0.620663\pi\)
−0.0933386 + 0.995634i \(0.529754\pi\)
\(620\) −6.28293 18.9987i −0.252328 0.763007i
\(621\) 11.4597 + 22.1286i 0.459860 + 0.887991i
\(622\) 7.25627i 0.290950i
\(623\) 2.56147 + 17.8154i 0.102623 + 0.713761i
\(624\) −1.81118 7.70736i −0.0725053 0.308541i
\(625\) −0.191839 + 24.9993i −0.00767355 + 0.999971i
\(626\) −11.7474 + 13.5572i −0.469520 + 0.541855i
\(627\) −0.580822 + 0.227692i −0.0231958 + 0.00909314i
\(628\) −15.2966 + 9.83055i −0.610402 + 0.392282i
\(629\) −38.5610 + 17.6102i −1.53753 + 0.702165i
\(630\) −5.36649 5.41398i −0.213806 0.215698i
\(631\) 19.1110 29.7372i 0.760795 1.18382i −0.217390 0.976085i \(-0.569754\pi\)
0.978185 0.207736i \(-0.0666094\pi\)
\(632\) 2.97614 + 0.427904i 0.118384 + 0.0170211i
\(633\) −24.8726 + 14.1226i −0.988598 + 0.561325i
\(634\) 11.2830 + 7.25113i 0.448104 + 0.287979i
\(635\) −28.6247 17.0582i −1.13594 0.676933i
\(636\) 2.34851 + 1.23220i 0.0931244 + 0.0488601i
\(637\) −14.1078 21.9522i −0.558972 0.869777i
\(638\) −2.61014 + 8.88931i −0.103336 + 0.351931i
\(639\) −23.9142 + 16.5159i −0.946031 + 0.653361i
\(640\) 1.27175 + 1.83920i 0.0502705 + 0.0727006i
\(641\) −8.89291 + 19.4728i −0.351249 + 0.769128i 0.648718 + 0.761029i \(0.275305\pi\)
−0.999967 + 0.00809917i \(0.997422\pi\)
\(642\) 19.4822 + 18.8457i 0.768902 + 0.743779i
\(643\) −0.0334375 −0.00131865 −0.000659323 1.00000i \(-0.500210\pi\)
−0.000659323 1.00000i \(0.500210\pi\)
\(644\) 3.26431 + 4.36407i 0.128632 + 0.171969i
\(645\) 10.0642 14.9595i 0.396276 0.589029i
\(646\) 0.347678 + 2.41815i 0.0136792 + 0.0951410i
\(647\) −7.02734 + 15.3877i −0.276273 + 0.604954i −0.996005 0.0892983i \(-0.971538\pi\)
0.719732 + 0.694252i \(0.244265\pi\)
\(648\) 8.78470 + 1.95680i 0.345096 + 0.0768704i
\(649\) −3.63814 3.15247i −0.142809 0.123745i
\(650\) 7.90488 + 21.4447i 0.310055 + 0.841132i
\(651\) −16.6034 5.88056i −0.650737 0.230477i
\(652\) 14.1585 6.46595i 0.554488 0.253226i
\(653\) 5.93377 + 6.84794i 0.232206 + 0.267980i 0.859880 0.510496i \(-0.170538\pi\)
−0.627674 + 0.778477i \(0.715993\pi\)
\(654\) −10.5189 + 0.928127i −0.411321 + 0.0362926i
\(655\) 0.251119 + 1.40731i 0.00981204 + 0.0549880i
\(656\) 9.96168 + 1.43227i 0.388938 + 0.0559209i
\(657\) −10.6591 11.5059i −0.415851 0.448888i
\(658\) −6.63291 7.65479i −0.258578 0.298415i
\(659\) 8.20148 + 17.9587i 0.319484 + 0.699573i 0.999432 0.0336871i \(-0.0107250\pi\)
−0.679948 + 0.733260i \(0.737998\pi\)
\(660\) 0.0743503 3.53799i 0.00289408 0.137716i
\(661\) −6.37940 + 21.7262i −0.248130 + 0.845053i 0.737386 + 0.675471i \(0.236060\pi\)
−0.985516 + 0.169582i \(0.945758\pi\)
\(662\) 10.6386 12.2776i 0.413480 0.477181i
\(663\) 39.7629 + 28.7483i 1.54426 + 1.11649i
\(664\) 9.59000 + 4.37960i 0.372164 + 0.169962i
\(665\) 0.446643 + 0.896573i 0.0173201 + 0.0347676i
\(666\) 5.12435 19.8707i 0.198564 0.769972i
\(667\) −42.6705 23.3210i −1.65221 0.902992i
\(668\) 6.68528 0.258661
\(669\) 13.2938 + 12.8595i 0.513969 + 0.497176i
\(670\) −13.7768 1.50790i −0.532243 0.0582551i
\(671\) −1.89832 6.46509i −0.0732839 0.249582i
\(672\) 1.96530 + 0.107793i 0.0758131 + 0.00415821i
\(673\) 11.5868 39.4612i 0.446640 1.52112i −0.361640 0.932318i \(-0.617783\pi\)
0.808280 0.588798i \(-0.200399\pi\)
\(674\) −2.00524 + 1.28869i −0.0772390 + 0.0496385i
\(675\) −25.8591 2.51144i −0.995317 0.0966655i
\(676\) 5.16985 + 5.96632i 0.198840 + 0.229474i
\(677\) 3.54764 5.52023i 0.136347 0.212160i −0.766365 0.642405i \(-0.777937\pi\)
0.902712 + 0.430245i \(0.141573\pi\)
\(678\) −8.33678 14.6826i −0.320172 0.563883i
\(679\) −2.63805 + 18.3480i −0.101239 + 0.704133i
\(680\) −13.4208 3.45288i −0.514663 0.132412i
\(681\) 12.2315 + 2.44881i 0.468713 + 0.0938387i
\(682\) −3.39677 7.43789i −0.130069 0.284812i
\(683\) −12.3272 + 7.92223i −0.471688 + 0.303136i −0.754804 0.655950i \(-0.772268\pi\)
0.283116 + 0.959086i \(0.408632\pi\)
\(684\) −1.01555 0.605973i −0.0388305 0.0231700i
\(685\) 9.14452 21.9576i 0.349394 0.838956i
\(686\) 13.8568 4.06872i 0.529054 0.155344i
\(687\) 5.86112 + 24.9416i 0.223616 + 0.951581i
\(688\) 0.662515 + 4.60789i 0.0252581 + 0.175674i
\(689\) −6.99926 −0.266650
\(690\) 18.0611 + 4.33556i 0.687574 + 0.165052i
\(691\) −12.8771 −0.489870 −0.244935 0.969540i \(-0.578767\pi\)
−0.244935 + 0.969540i \(0.578767\pi\)
\(692\) 2.76882 + 19.2576i 0.105255 + 0.732064i
\(693\) −2.42055 1.96055i −0.0919492 0.0744752i
\(694\) −17.1892 + 5.04721i −0.652494 + 0.191590i
\(695\) −20.0856 8.36491i −0.761890 0.317299i
\(696\) −16.3507 + 6.40977i −0.619773 + 0.242962i
\(697\) −52.4702 + 33.7206i −1.98745 + 1.27726i
\(698\) −1.94327 4.25518i −0.0735540 0.161061i
\(699\) 2.56360 12.8048i 0.0969641 0.484323i
\(700\) −5.66890 + 0.383592i −0.214264 + 0.0144984i
\(701\) −5.60529 + 38.9857i −0.211709 + 1.47247i 0.555739 + 0.831357i \(0.312436\pi\)
−0.767448 + 0.641112i \(0.778474\pi\)
\(702\) −22.9289 + 6.19836i −0.865395 + 0.233942i
\(703\) −1.45780 + 2.26838i −0.0549820 + 0.0855536i
\(704\) 0.598351 + 0.690534i 0.0225512 + 0.0260255i
\(705\) −34.0586 5.62964i −1.28272 0.212024i
\(706\) −0.171178 + 0.110009i −0.00644235 + 0.00414025i
\(707\) −2.01270 + 6.85462i −0.0756954 + 0.257795i
\(708\) 0.499763 9.11176i 0.0187823 0.342441i
\(709\) −12.9321 44.0427i −0.485676 1.65406i −0.729303 0.684191i \(-0.760155\pi\)
0.243627 0.969869i \(-0.421663\pi\)
\(710\) −2.35692 + 21.5338i −0.0884535 + 0.808148i
\(711\) 0.986518 8.96612i 0.0369973 0.336256i
\(712\) −15.8387 −0.593580
\(713\) 41.9408 9.10693i 1.57069 0.341057i
\(714\) −9.64233 + 7.47119i −0.360855 + 0.279602i
\(715\) 4.16435 + 8.35934i 0.155738 + 0.312622i
\(716\) −4.09249 1.86898i −0.152944 0.0698470i
\(717\) 16.7520 23.1703i 0.625615 0.865312i
\(718\) 17.1471 19.7888i 0.639923 0.738510i
\(719\) 5.65708 19.2663i 0.210974 0.718510i −0.784211 0.620494i \(-0.786932\pi\)
0.995185 0.0980161i \(-0.0312497\pi\)
\(720\) 5.38785 3.99638i 0.200793 0.148936i
\(721\) −1.40131 3.06844i −0.0521875 0.114275i
\(722\) −12.3406 14.2418i −0.459269 0.530025i
\(723\) −14.8828 + 1.31317i −0.553496 + 0.0488374i
\(724\) 14.7962 + 2.12737i 0.549897 + 0.0790632i
\(725\) 44.5893 24.1260i 1.65600 0.896015i
\(726\) 1.54749 + 17.5384i 0.0574327 + 0.650911i
\(727\) −2.30834 2.66397i −0.0856116 0.0988010i 0.711327 0.702861i \(-0.248094\pi\)
−0.796939 + 0.604060i \(0.793549\pi\)
\(728\) −4.72501 + 2.15784i −0.175121 + 0.0799749i
\(729\) 4.99203 26.5345i 0.184890 0.982759i
\(730\) −11.6838 + 0.394848i −0.432438 + 0.0146140i
\(731\) −21.8039 18.8932i −0.806445 0.698789i
\(732\) 7.48360 10.3508i 0.276602 0.382578i
\(733\) 18.1318 39.7032i 0.669715 1.46647i −0.203470 0.979081i \(-0.565222\pi\)
0.873185 0.487389i \(-0.162051\pi\)
\(734\) −1.63714 11.3866i −0.0604279 0.420285i
\(735\) 12.3415 18.3445i 0.455222 0.676646i
\(736\) −4.21008 + 2.29679i −0.155185 + 0.0846610i
\(737\) −5.66312 −0.208604
\(738\) 3.30206 30.0112i 0.121550 1.10473i
\(739\) 13.1449 28.7834i 0.483544 1.05881i −0.497930 0.867217i \(-0.665906\pi\)
0.981474 0.191596i \(-0.0613665\pi\)
\(740\) −8.69912 12.5806i −0.319786 0.462471i
\(741\) 3.11632 + 0.170924i 0.114481 + 0.00627906i
\(742\) 0.490222 1.66954i 0.0179966 0.0612908i
\(743\) 0.127897 + 0.199011i 0.00469208 + 0.00730102i 0.843592 0.536985i \(-0.180437\pi\)
−0.838900 + 0.544286i \(0.816801\pi\)
\(744\) 7.20152 13.7257i 0.264021 0.503208i
\(745\) 10.0036 16.7868i 0.366505 0.615019i
\(746\) −2.35082 1.51078i −0.0860695 0.0553135i
\(747\) 12.1762 29.1904i 0.445504 1.06802i
\(748\) −5.60499 0.805875i −0.204939 0.0294657i
\(749\) 9.61455 14.9605i 0.351308 0.546646i
\(750\) −14.0291 + 13.3486i −0.512269 + 0.487423i
\(751\) −12.8333 + 5.86078i −0.468295 + 0.213863i −0.635564 0.772048i \(-0.719232\pi\)
0.167269 + 0.985911i \(0.446505\pi\)
\(752\) 7.49828 4.81885i 0.273434 0.175725i
\(753\) 15.9207 + 40.6123i 0.580183 + 1.47999i
\(754\) 30.3518 35.0279i 1.10535 1.27564i
\(755\) −3.01460 4.35967i −0.109712 0.158665i
\(756\) 0.127415 5.90339i 0.00463405 0.214704i
\(757\) 6.72746 + 46.7905i 0.244514 + 1.70063i 0.628924 + 0.777467i \(0.283496\pi\)
−0.384410 + 0.923162i \(0.625595\pi\)
\(758\) 0.212282i 0.00771042i
\(759\) 7.52911 + 0.958111i 0.273289 + 0.0347772i
\(760\) −0.836883 + 0.276759i −0.0303569 + 0.0100391i
\(761\) 0.151958 0.0218482i 0.00550846 0.000791997i −0.139560 0.990214i \(-0.544569\pi\)
0.145069 + 0.989422i \(0.453660\pi\)
\(762\) −5.90461 25.1267i −0.213901 0.910243i
\(763\) 1.95187 + 6.64746i 0.0706625 + 0.240654i
\(764\) −5.19023 + 5.98985i −0.187776 + 0.216705i
\(765\) −9.01595 + 40.5841i −0.325972 + 1.46732i
\(766\) 16.9460 + 26.3686i 0.612285 + 0.952735i
\(767\) 10.0044 + 21.9067i 0.361240 + 0.791004i
\(768\) −0.340018 + 1.69835i −0.0122694 + 0.0612839i
\(769\) 18.3873 28.6113i 0.663064 1.03175i −0.332984 0.942933i \(-0.608055\pi\)
0.996048 0.0888156i \(-0.0283082\pi\)
\(770\) −2.28563 + 0.407848i −0.0823686 + 0.0146978i
\(771\) 19.5996 11.1287i 0.705864 0.400789i
\(772\) −4.27344 + 6.64960i −0.153804 + 0.239324i
\(773\) −7.91290 + 6.85656i −0.284607 + 0.246613i −0.785451 0.618924i \(-0.787569\pi\)
0.500843 + 0.865538i \(0.333023\pi\)