Properties

Label 171.2.x.a.110.17
Level $171$
Weight $2$
Character 171.110
Analytic conductor $1.365$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.x (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 110.17
Character \(\chi\) \(=\) 171.110
Dual form 171.2.x.a.14.17

$q$-expansion

\(f(q)\) \(=\) \(q+(1.98542 - 1.66596i) q^{2} +(0.915994 + 1.47002i) q^{3} +(0.819153 - 4.64565i) q^{4} +(-1.06492 + 2.92585i) q^{5} +(4.26763 + 1.39259i) q^{6} +(-1.52472 - 2.64090i) q^{7} +(-3.52134 - 6.09914i) q^{8} +(-1.32191 + 2.69306i) q^{9} +O(q^{10})\) \(q+(1.98542 - 1.66596i) q^{2} +(0.915994 + 1.47002i) q^{3} +(0.819153 - 4.64565i) q^{4} +(-1.06492 + 2.92585i) q^{5} +(4.26763 + 1.39259i) q^{6} +(-1.52472 - 2.64090i) q^{7} +(-3.52134 - 6.09914i) q^{8} +(-1.32191 + 2.69306i) q^{9} +(2.76004 + 7.58315i) q^{10} -3.42745i q^{11} +(7.57953 - 3.05122i) q^{12} +(0.864317 + 2.37469i) q^{13} +(-7.42686 - 2.70316i) q^{14} +(-5.27651 + 1.11461i) q^{15} +(-8.28661 - 3.01608i) q^{16} +(-1.79294 + 4.92607i) q^{17} +(1.86199 + 7.54909i) q^{18} +(-3.57649 - 2.49173i) q^{19} +(12.7201 + 7.34397i) q^{20} +(2.48553 - 4.66042i) q^{21} +(-5.71001 - 6.80493i) q^{22} +(2.96343 + 0.522533i) q^{23} +(5.74032 - 10.7632i) q^{24} +(-3.59631 - 3.01766i) q^{25} +(5.67218 + 3.27483i) q^{26} +(-5.16970 + 0.523595i) q^{27} +(-13.5177 + 4.92003i) q^{28} +(-0.536153 + 3.04067i) q^{29} +(-8.61919 + 11.0034i) q^{30} -0.794029i q^{31} +(-8.24116 + 2.99954i) q^{32} +(5.03842 - 3.13953i) q^{33} +(4.64691 + 12.7673i) q^{34} +(9.35059 - 1.64876i) q^{35} +(11.4282 + 8.34715i) q^{36} -7.02028i q^{37} +(-11.2520 + 1.01117i) q^{38} +(-2.69913 + 3.44577i) q^{39} +(21.5951 - 3.80780i) q^{40} +(4.12573 - 3.46190i) q^{41} +(-2.82927 - 13.3937i) q^{42} +(-0.331522 - 1.88015i) q^{43} +(-15.9227 - 2.80761i) q^{44} +(-6.47175 - 6.73560i) q^{45} +(6.75417 - 3.89952i) q^{46} +(12.8465 + 2.26518i) q^{47} +(-3.15680 - 14.9442i) q^{48} +(-1.14957 + 1.99111i) q^{49} -12.1675 q^{50} +(-8.88374 + 1.87659i) q^{51} +(11.7400 - 2.07008i) q^{52} +(3.01965 + 2.53379i) q^{53} +(-9.39173 + 9.65209i) q^{54} +(10.0282 + 3.64997i) q^{55} +(-10.7381 + 18.5990i) q^{56} +(0.386850 - 7.53992i) q^{57} +(4.00116 + 6.93022i) q^{58} +(-0.194589 - 1.10357i) q^{59} +(0.855795 + 25.4259i) q^{60} +(-1.80227 + 0.655973i) q^{61} +(-1.32282 - 1.57648i) q^{62} +(9.12764 - 0.615141i) q^{63} +(-2.54660 + 4.41084i) q^{64} -7.86842 q^{65} +(4.77303 - 14.6271i) q^{66} +(-0.412278 + 0.491334i) q^{67} +(21.4161 + 12.3646i) q^{68} +(1.94635 + 4.83494i) q^{69} +(15.8180 - 18.8512i) q^{70} +(-5.62967 + 4.72386i) q^{71} +(21.0802 - 1.42066i) q^{72} +(0.808108 + 4.58301i) q^{73} +(-11.6955 - 13.9382i) q^{74} +(1.14182 - 8.05081i) q^{75} +(-14.5054 + 14.5740i) q^{76} +(-9.05156 + 5.22592i) q^{77} +(0.381617 + 11.3379i) q^{78} +(-2.33565 + 6.41714i) q^{79} +(17.6492 - 21.0335i) q^{80} +(-5.50511 - 7.11995i) q^{81} +(2.42390 - 13.7466i) q^{82} +(-1.59043 + 0.918238i) q^{83} +(-19.6147 - 15.3645i) q^{84} +(-12.5036 - 10.4918i) q^{85} +(-3.79048 - 3.18059i) q^{86} +(-4.96096 + 1.99709i) q^{87} +(-20.9045 + 12.0692i) q^{88} +(2.03020 - 11.5138i) q^{89} +(-24.0704 - 2.59129i) q^{90} +(4.95348 - 5.90333i) q^{91} +(4.85501 - 13.3390i) q^{92} +(1.16724 - 0.727326i) q^{93} +(29.2793 - 16.9044i) q^{94} +(11.0991 - 7.81076i) q^{95} +(-11.9582 - 9.36710i) q^{96} +(-9.52510 - 11.3516i) q^{97} +(1.03475 + 5.86834i) q^{98} +(9.23033 + 4.53078i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 9 q^{2} - 3 q^{4} - 9 q^{5} + 3 q^{7} - 24 q^{9} - 12 q^{10} - 9 q^{12} - 6 q^{13} - 9 q^{14} - 36 q^{15} - 9 q^{16} + 27 q^{17} + 36 q^{18} - 15 q^{19} - 18 q^{20} + 3 q^{21} + 30 q^{22} - 45 q^{23} - 21 q^{24} - 3 q^{25} - 72 q^{26} - 36 q^{28} - 9 q^{29} - 21 q^{30} - 9 q^{32} - 6 q^{33} + 33 q^{34} + 45 q^{35} + 18 q^{36} - 9 q^{38} - 18 q^{39} + 15 q^{40} - 9 q^{41} + 15 q^{42} + 9 q^{43} - 63 q^{44} + 33 q^{45} - 18 q^{46} - 9 q^{47} + 3 q^{48} - 15 q^{49} + 126 q^{50} + 39 q^{51} - 39 q^{52} - 51 q^{54} + 3 q^{55} + 63 q^{56} - 78 q^{57} - 6 q^{58} + 36 q^{59} - 75 q^{60} - 24 q^{61} + 18 q^{62} - 9 q^{63} - 18 q^{65} + 159 q^{66} - 63 q^{67} + 54 q^{68} - 9 q^{69} + 39 q^{70} + 141 q^{72} - 45 q^{73} - 117 q^{74} - 3 q^{76} - 18 q^{77} + 27 q^{78} + 3 q^{79} + 126 q^{80} - 60 q^{81} - 3 q^{82} + 27 q^{83} - 117 q^{84} - 3 q^{85} - 171 q^{86} + 15 q^{87} - 9 q^{88} + 54 q^{89} - 21 q^{90} - 9 q^{91} - 27 q^{92} + 42 q^{93} + 99 q^{95} + 207 q^{96} - 57 q^{97} - 27 q^{98} + 39 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{11}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.98542 1.66596i 1.40390 1.17801i 0.444566 0.895746i \(-0.353358\pi\)
0.959336 0.282268i \(-0.0910867\pi\)
\(3\) 0.915994 + 1.47002i 0.528850 + 0.848716i
\(4\) 0.819153 4.64565i 0.409577 2.32282i
\(5\) −1.06492 + 2.92585i −0.476248 + 1.30848i 0.436408 + 0.899749i \(0.356251\pi\)
−0.912655 + 0.408730i \(0.865972\pi\)
\(6\) 4.26763 + 1.39259i 1.74225 + 0.568522i
\(7\) −1.52472 2.64090i −0.576292 0.998167i −0.995900 0.0904613i \(-0.971166\pi\)
0.419608 0.907705i \(-0.362167\pi\)
\(8\) −3.52134 6.09914i −1.24498 2.15637i
\(9\) −1.32191 + 2.69306i −0.440636 + 0.897686i
\(10\) 2.76004 + 7.58315i 0.872802 + 2.39800i
\(11\) 3.42745i 1.03342i −0.856162 0.516708i \(-0.827157\pi\)
0.856162 0.516708i \(-0.172843\pi\)
\(12\) 7.57953 3.05122i 2.18802 0.880811i
\(13\) 0.864317 + 2.37469i 0.239718 + 0.658621i 0.999960 + 0.00898021i \(0.00285853\pi\)
−0.760241 + 0.649641i \(0.774919\pi\)
\(14\) −7.42686 2.70316i −1.98491 0.722449i
\(15\) −5.27651 + 1.11461i −1.36239 + 0.287790i
\(16\) −8.28661 3.01608i −2.07165 0.754020i
\(17\) −1.79294 + 4.92607i −0.434853 + 1.19475i 0.507947 + 0.861388i \(0.330404\pi\)
−0.942800 + 0.333359i \(0.891818\pi\)
\(18\) 1.86199 + 7.54909i 0.438876 + 1.77934i
\(19\) −3.57649 2.49173i −0.820503 0.571643i
\(20\) 12.7201 + 7.34397i 2.84431 + 1.64216i
\(21\) 2.48553 4.66042i 0.542388 1.01699i
\(22\) −5.71001 6.80493i −1.21738 1.45082i
\(23\) 2.96343 + 0.522533i 0.617918 + 0.108956i 0.473840 0.880611i \(-0.342867\pi\)
0.144078 + 0.989566i \(0.453978\pi\)
\(24\) 5.74032 10.7632i 1.17174 2.19703i
\(25\) −3.59631 3.01766i −0.719262 0.603533i
\(26\) 5.67218 + 3.27483i 1.11241 + 0.642248i
\(27\) −5.16970 + 0.523595i −0.994910 + 0.100766i
\(28\) −13.5177 + 4.92003i −2.55460 + 0.929799i
\(29\) −0.536153 + 3.04067i −0.0995611 + 0.564639i 0.893693 + 0.448679i \(0.148105\pi\)
−0.993254 + 0.115960i \(0.963006\pi\)
\(30\) −8.61919 + 11.0034i −1.57364 + 2.00894i
\(31\) 0.794029i 0.142612i −0.997454 0.0713059i \(-0.977283\pi\)
0.997454 0.0713059i \(-0.0227167\pi\)
\(32\) −8.24116 + 2.99954i −1.45685 + 0.530248i
\(33\) 5.03842 3.13953i 0.877076 0.546522i
\(34\) 4.64691 + 12.7673i 0.796939 + 2.18957i
\(35\) 9.35059 1.64876i 1.58054 0.278691i
\(36\) 11.4282 + 8.34715i 1.90469 + 1.39119i
\(37\) 7.02028i 1.15413i −0.816699 0.577064i \(-0.804198\pi\)
0.816699 0.577064i \(-0.195802\pi\)
\(38\) −11.2520 + 1.01117i −1.82531 + 0.164033i
\(39\) −2.69913 + 3.44577i −0.432207 + 0.551764i
\(40\) 21.5951 3.80780i 3.41449 0.602066i
\(41\) 4.12573 3.46190i 0.644330 0.540657i −0.261014 0.965335i \(-0.584057\pi\)
0.905345 + 0.424678i \(0.139613\pi\)
\(42\) −2.82927 13.3937i −0.436566 2.06669i
\(43\) −0.331522 1.88015i −0.0505566 0.286721i 0.949039 0.315159i \(-0.102058\pi\)
−0.999596 + 0.0284381i \(0.990947\pi\)
\(44\) −15.9227 2.80761i −2.40044 0.423263i
\(45\) −6.47175 6.73560i −0.964751 1.00408i
\(46\) 6.75417 3.89952i 0.995848 0.574953i
\(47\) 12.8465 + 2.26518i 1.87385 + 0.330410i 0.990412 0.138143i \(-0.0441135\pi\)
0.883435 + 0.468553i \(0.155225\pi\)
\(48\) −3.15680 14.9442i −0.455644 2.15701i
\(49\) −1.14957 + 1.99111i −0.164224 + 0.284445i
\(50\) −12.1675 −1.72074
\(51\) −8.88374 + 1.87659i −1.24397 + 0.262776i
\(52\) 11.7400 2.07008i 1.62804 0.287068i
\(53\) 3.01965 + 2.53379i 0.414781 + 0.348043i 0.826174 0.563416i \(-0.190513\pi\)
−0.411392 + 0.911458i \(0.634957\pi\)
\(54\) −9.39173 + 9.65209i −1.27805 + 1.31348i
\(55\) 10.0282 + 3.64997i 1.35220 + 0.492162i
\(56\) −10.7381 + 18.5990i −1.43494 + 2.48540i
\(57\) 0.386850 7.53992i 0.0512395 0.998686i
\(58\) 4.00116 + 6.93022i 0.525379 + 0.909982i
\(59\) −0.194589 1.10357i −0.0253333 0.143672i 0.969518 0.245022i \(-0.0787951\pi\)
−0.994851 + 0.101349i \(0.967684\pi\)
\(60\) 0.855795 + 25.4259i 0.110483 + 3.28246i
\(61\) −1.80227 + 0.655973i −0.230757 + 0.0839888i −0.454811 0.890588i \(-0.650293\pi\)
0.224054 + 0.974577i \(0.428071\pi\)
\(62\) −1.32282 1.57648i −0.167999 0.200213i
\(63\) 9.12764 0.615141i 1.14997 0.0775005i
\(64\) −2.54660 + 4.41084i −0.318325 + 0.551354i
\(65\) −7.86842 −0.975958
\(66\) 4.77303 14.6271i 0.587519 1.80047i
\(67\) −0.412278 + 0.491334i −0.0503678 + 0.0600260i −0.790640 0.612281i \(-0.790252\pi\)
0.740272 + 0.672307i \(0.234697\pi\)
\(68\) 21.4161 + 12.3646i 2.59708 + 1.49943i
\(69\) 1.94635 + 4.83494i 0.234313 + 0.582058i
\(70\) 15.8180 18.8512i 1.89062 2.25315i
\(71\) −5.62967 + 4.72386i −0.668119 + 0.560619i −0.912508 0.409059i \(-0.865857\pi\)
0.244389 + 0.969677i \(0.421413\pi\)
\(72\) 21.0802 1.42066i 2.48433 0.167427i
\(73\) 0.808108 + 4.58301i 0.0945819 + 0.536401i 0.994875 + 0.101116i \(0.0322413\pi\)
−0.900293 + 0.435285i \(0.856648\pi\)
\(74\) −11.6955 13.9382i −1.35958 1.62028i
\(75\) 1.14182 8.05081i 0.131846 0.929627i
\(76\) −14.5054 + 14.5740i −1.66388 + 1.67175i
\(77\) −9.05156 + 5.22592i −1.03152 + 0.595549i
\(78\) 0.381617 + 11.3379i 0.0432096 + 1.28377i
\(79\) −2.33565 + 6.41714i −0.262781 + 0.721985i 0.736196 + 0.676768i \(0.236620\pi\)
−0.998977 + 0.0452165i \(0.985602\pi\)
\(80\) 17.6492 21.0335i 1.97324 2.35162i
\(81\) −5.50511 7.11995i −0.611679 0.791106i
\(82\) 2.42390 13.7466i 0.267675 1.51806i
\(83\) −1.59043 + 0.918238i −0.174573 + 0.100790i −0.584740 0.811221i \(-0.698804\pi\)
0.410167 + 0.912010i \(0.365470\pi\)
\(84\) −19.6147 15.3645i −2.14013 1.67641i
\(85\) −12.5036 10.4918i −1.35621 1.13799i
\(86\) −3.79048 3.18059i −0.408737 0.342971i
\(87\) −4.96096 + 1.99709i −0.531871 + 0.214110i
\(88\) −20.9045 + 12.0692i −2.22843 + 1.28658i
\(89\) 2.03020 11.5138i 0.215201 1.22046i −0.665358 0.746525i \(-0.731721\pi\)
0.880558 0.473938i \(-0.157168\pi\)
\(90\) −24.0704 2.59129i −2.53724 0.273145i
\(91\) 4.95348 5.90333i 0.519266 0.618837i
\(92\) 4.85501 13.3390i 0.506170 1.39069i
\(93\) 1.16724 0.727326i 0.121037 0.0754202i
\(94\) 29.2793 16.9044i 3.01993 1.74355i
\(95\) 11.0991 7.81076i 1.13874 0.801368i
\(96\) −11.9582 9.36710i −1.22048 0.956026i
\(97\) −9.52510 11.3516i −0.967127 1.15258i −0.988257 0.152801i \(-0.951171\pi\)
0.0211298 0.999777i \(-0.493274\pi\)
\(98\) 1.03475 + 5.86834i 0.104525 + 0.592791i
\(99\) 9.23033 + 4.53078i 0.927683 + 0.455361i
\(100\) −16.9649 + 14.2353i −1.69649 + 1.42353i
\(101\) −8.87600 + 10.5780i −0.883195 + 1.05255i 0.115052 + 0.993359i \(0.463297\pi\)
−0.998247 + 0.0591910i \(0.981148\pi\)
\(102\) −14.5116 + 18.5258i −1.43686 + 1.83433i
\(103\) −8.42013 4.86136i −0.829660 0.479004i 0.0240764 0.999710i \(-0.492336\pi\)
−0.853736 + 0.520706i \(0.825669\pi\)
\(104\) 11.4400 13.6337i 1.12179 1.33689i
\(105\) 10.9888 + 12.2353i 1.07240 + 1.19404i
\(106\) 10.2165 0.992311
\(107\) 0.465034 0.805463i 0.0449565 0.0778670i −0.842672 0.538428i \(-0.819018\pi\)
0.887628 + 0.460561i \(0.152352\pi\)
\(108\) −1.80234 + 24.4455i −0.173431 + 2.35227i
\(109\) 7.80746 + 9.30457i 0.747819 + 0.891216i 0.997013 0.0772376i \(-0.0246100\pi\)
−0.249194 + 0.968454i \(0.580166\pi\)
\(110\) 25.9909 9.45991i 2.47814 0.901967i
\(111\) 10.3199 6.43054i 0.979526 0.610360i
\(112\) 4.66964 + 26.4828i 0.441239 + 2.50239i
\(113\) 1.89033 + 3.27415i 0.177827 + 0.308006i 0.941136 0.338028i \(-0.109760\pi\)
−0.763309 + 0.646034i \(0.776426\pi\)
\(114\) −11.7932 15.6144i −1.10453 1.46242i
\(115\) −4.68468 + 8.11410i −0.436848 + 0.756643i
\(116\) 13.6867 + 4.98156i 1.27078 + 0.462526i
\(117\) −7.53773 0.811471i −0.696863 0.0750205i
\(118\) −2.22485 1.86687i −0.204814 0.171859i
\(119\) 15.7430 2.77592i 1.44316 0.254468i
\(120\) 25.3785 + 28.2573i 2.31673 + 2.57953i
\(121\) −0.747440 −0.0679491
\(122\) −2.48544 + 4.30490i −0.225021 + 0.389747i
\(123\) 8.86820 + 2.89382i 0.799618 + 0.260927i
\(124\) −3.68878 0.650431i −0.331262 0.0584105i
\(125\) −0.823369 + 0.475372i −0.0736443 + 0.0425186i
\(126\) 17.0974 16.4276i 1.52316 1.46349i
\(127\) −0.789992 0.139297i −0.0701005 0.0123606i 0.138488 0.990364i \(-0.455776\pi\)
−0.208588 + 0.978004i \(0.566887\pi\)
\(128\) −0.753580 4.27376i −0.0666077 0.377751i
\(129\) 2.46019 2.20955i 0.216607 0.194540i
\(130\) −15.6221 + 13.1085i −1.37015 + 1.14969i
\(131\) −16.9135 + 2.98231i −1.47774 + 0.260566i −0.853675 0.520806i \(-0.825632\pi\)
−0.624066 + 0.781371i \(0.714520\pi\)
\(132\) −10.4579 25.9785i −0.910244 2.26114i
\(133\) −1.12726 + 13.2444i −0.0977456 + 1.14843i
\(134\) 1.66234i 0.143604i
\(135\) 3.97337 15.6834i 0.341973 1.34981i
\(136\) 36.3583 6.41096i 3.11770 0.549735i
\(137\) 1.11713 + 3.06929i 0.0954428 + 0.262227i 0.978222 0.207561i \(-0.0665526\pi\)
−0.882779 + 0.469788i \(0.844330\pi\)
\(138\) 11.9191 + 6.35681i 1.01463 + 0.541128i
\(139\) −15.7878 + 5.74629i −1.33910 + 0.487394i −0.909530 0.415638i \(-0.863559\pi\)
−0.429574 + 0.903032i \(0.641336\pi\)
\(140\) 44.7901i 3.78546i
\(141\) 8.43743 + 20.9594i 0.710559 + 1.76510i
\(142\) −3.30748 + 18.7576i −0.277558 + 1.57411i
\(143\) 8.13915 2.96241i 0.680630 0.247729i
\(144\) 19.0766 18.3293i 1.58972 1.52745i
\(145\) −8.32559 4.80678i −0.691403 0.399182i
\(146\) 9.23956 + 7.75291i 0.764671 + 0.641635i
\(147\) −3.97998 + 0.133960i −0.328263 + 0.0110488i
\(148\) −32.6138 5.75069i −2.68083 0.472704i
\(149\) −1.77882 2.11991i −0.145727 0.173670i 0.688244 0.725480i \(-0.258382\pi\)
−0.833970 + 0.551809i \(0.813938\pi\)
\(150\) −11.1454 17.8864i −0.910014 1.46042i
\(151\) 18.1509 + 10.4794i 1.47710 + 0.852802i 0.999665 0.0258672i \(-0.00823469\pi\)
0.477431 + 0.878669i \(0.341568\pi\)
\(152\) −2.60339 + 30.5877i −0.211163 + 2.48099i
\(153\) −10.8961 11.3403i −0.880896 0.916810i
\(154\) −9.26494 + 25.4552i −0.746590 + 2.05124i
\(155\) 2.32321 + 0.845579i 0.186605 + 0.0679185i
\(156\) 13.7968 + 15.3618i 1.10463 + 1.22993i
\(157\) 11.4026 + 4.15020i 0.910026 + 0.331222i 0.754263 0.656572i \(-0.227994\pi\)
0.155763 + 0.987795i \(0.450217\pi\)
\(158\) 6.05348 + 16.6318i 0.481589 + 1.32316i
\(159\) −0.958733 + 6.75988i −0.0760325 + 0.536094i
\(160\) 27.3067i 2.15878i
\(161\) −3.13846 8.62285i −0.247345 0.679576i
\(162\) −22.7915 4.96476i −1.79067 0.390068i
\(163\) −9.42180 16.3190i −0.737972 1.27821i −0.953407 0.301687i \(-0.902450\pi\)
0.215435 0.976518i \(-0.430883\pi\)
\(164\) −12.7032 22.0025i −0.991949 1.71811i
\(165\) 3.82026 + 18.0850i 0.297407 + 1.40792i
\(166\) −1.62793 + 4.47269i −0.126352 + 0.347148i
\(167\) −2.22563 + 12.6222i −0.172224 + 0.976733i 0.769075 + 0.639159i \(0.220717\pi\)
−0.941299 + 0.337574i \(0.890394\pi\)
\(168\) −37.1770 + 1.25132i −2.86827 + 0.0965413i
\(169\) 5.06646 4.25126i 0.389728 0.327020i
\(170\) −42.3037 −3.24455
\(171\) 11.4382 6.33785i 0.874699 0.484667i
\(172\) −9.00610 −0.686709
\(173\) −19.0859 + 16.0149i −1.45107 + 1.21759i −0.519278 + 0.854605i \(0.673799\pi\)
−0.931794 + 0.362989i \(0.881756\pi\)
\(174\) −6.52251 + 12.2298i −0.494470 + 0.927141i
\(175\) −2.48596 + 14.0986i −0.187921 + 1.06575i
\(176\) −10.3375 + 28.4020i −0.779217 + 2.14088i
\(177\) 1.44402 1.29691i 0.108540 0.0974819i
\(178\) −15.1508 26.2420i −1.13560 1.96692i
\(179\) −1.94730 3.37283i −0.145548 0.252097i 0.784029 0.620724i \(-0.213161\pi\)
−0.929577 + 0.368627i \(0.879828\pi\)
\(180\) −36.5926 + 24.5480i −2.72745 + 1.82970i
\(181\) −3.86632 10.6226i −0.287382 0.789575i −0.996431 0.0844154i \(-0.973098\pi\)
0.709049 0.705159i \(-0.249124\pi\)
\(182\) 19.9729i 1.48049i
\(183\) −2.61516 2.04851i −0.193318 0.151430i
\(184\) −7.24825 19.9144i −0.534348 1.46811i
\(185\) 20.5403 + 7.47605i 1.51015 + 0.549650i
\(186\) 1.10575 3.38862i 0.0810779 0.248466i
\(187\) 16.8839 + 6.14523i 1.23467 + 0.449384i
\(188\) 21.0464 57.8246i 1.53497 4.21729i
\(189\) 9.26514 + 12.8543i 0.673940 + 0.935016i
\(190\) 9.02393 33.9983i 0.654665 2.46650i
\(191\) 2.71951 + 1.57011i 0.196777 + 0.113609i 0.595151 0.803614i \(-0.297092\pi\)
−0.398375 + 0.917223i \(0.630426\pi\)
\(192\) −8.81668 + 0.296756i −0.636289 + 0.0214165i
\(193\) 9.45903 + 11.2728i 0.680876 + 0.811436i 0.990220 0.139514i \(-0.0445540\pi\)
−0.309344 + 0.950950i \(0.600110\pi\)
\(194\) −37.8226 6.66914i −2.71550 0.478817i
\(195\) −7.20743 11.5667i −0.516135 0.828310i
\(196\) 8.30834 + 6.97153i 0.593453 + 0.497966i
\(197\) 7.47294 + 4.31450i 0.532425 + 0.307396i 0.742003 0.670396i \(-0.233876\pi\)
−0.209579 + 0.977792i \(0.567209\pi\)
\(198\) 25.8742 6.38190i 1.83880 0.453542i
\(199\) 16.7532 6.09765i 1.18760 0.432251i 0.328720 0.944428i \(-0.393383\pi\)
0.858880 + 0.512177i \(0.171161\pi\)
\(200\) −5.74131 + 32.5606i −0.405972 + 2.30238i
\(201\) −1.09991 0.155997i −0.0775819 0.0110032i
\(202\) 35.7888i 2.51809i
\(203\) 8.84760 3.22026i 0.620980 0.226018i
\(204\) 1.44085 + 42.8079i 0.100880 + 2.99716i
\(205\) 5.73541 + 15.7579i 0.400578 + 1.10058i
\(206\) −24.8163 + 4.37579i −1.72903 + 0.304875i
\(207\) −5.32460 + 7.28995i −0.370085 + 0.506687i
\(208\) 22.2850i 1.54519i
\(209\) −8.54030 + 12.2582i −0.590745 + 0.847921i
\(210\) 42.2009 + 5.98522i 2.91214 + 0.413019i
\(211\) 1.03505 0.182508i 0.0712559 0.0125643i −0.137907 0.990445i \(-0.544037\pi\)
0.209162 + 0.977881i \(0.432926\pi\)
\(212\) 14.2447 11.9527i 0.978327 0.820914i
\(213\) −12.1009 3.94870i −0.829140 0.270560i
\(214\) −0.418584 2.37391i −0.0286138 0.162277i
\(215\) 5.85409 + 1.03223i 0.399246 + 0.0703978i
\(216\) 21.3978 + 29.6870i 1.45593 + 2.01994i
\(217\) −2.09695 + 1.21068i −0.142350 + 0.0821860i
\(218\) 31.0021 + 5.46651i 2.09973 + 0.370239i
\(219\) −5.99689 + 5.38595i −0.405232 + 0.363948i
\(220\) 25.1711 43.5977i 1.69704 2.93935i
\(221\) −13.2476 −0.891128
\(222\) 9.77636 29.9599i 0.656146 2.01078i
\(223\) 8.86131 1.56249i 0.593397 0.104632i 0.131119 0.991367i \(-0.458143\pi\)
0.462279 + 0.886735i \(0.347032\pi\)
\(224\) 20.4870 + 17.1906i 1.36884 + 1.14860i
\(225\) 12.8807 5.69600i 0.858716 0.379733i
\(226\) 9.20770 + 3.35133i 0.612487 + 0.222927i
\(227\) −1.16058 + 2.01018i −0.0770303 + 0.133420i −0.901967 0.431804i \(-0.857877\pi\)
0.824937 + 0.565225i \(0.191210\pi\)
\(228\) −34.7109 7.97351i −2.29879 0.528059i
\(229\) 0.134472 + 0.232913i 0.00888618 + 0.0153913i 0.870434 0.492285i \(-0.163838\pi\)
−0.861548 + 0.507676i \(0.830505\pi\)
\(230\) 4.21675 + 23.9144i 0.278044 + 1.57687i
\(231\) −15.9734 8.51905i −1.05097 0.560512i
\(232\) 20.4335 7.43717i 1.34152 0.488274i
\(233\) −10.8217 12.8968i −0.708955 0.844899i 0.284554 0.958660i \(-0.408155\pi\)
−0.993508 + 0.113761i \(0.963710\pi\)
\(234\) −16.3174 + 10.9465i −1.06670 + 0.715593i
\(235\) −20.3080 + 35.1745i −1.32475 + 2.29453i
\(236\) −5.28619 −0.344102
\(237\) −11.5728 + 2.44462i −0.751731 + 0.158795i
\(238\) 26.6319 31.7386i 1.72629 2.05731i
\(239\) −20.4969 11.8339i −1.32583 0.765471i −0.341182 0.939997i \(-0.610827\pi\)
−0.984653 + 0.174526i \(0.944161\pi\)
\(240\) 47.0862 + 6.67808i 3.03940 + 0.431068i
\(241\) −10.6959 + 12.7468i −0.688981 + 0.821095i −0.991232 0.132133i \(-0.957817\pi\)
0.302251 + 0.953228i \(0.402262\pi\)
\(242\) −1.48398 + 1.24521i −0.0953938 + 0.0800449i
\(243\) 5.42381 14.6145i 0.347937 0.937518i
\(244\) 1.57108 + 8.91007i 0.100578 + 0.570408i
\(245\) −4.60150 5.48385i −0.293979 0.350350i
\(246\) 22.4281 9.02865i 1.42996 0.575646i
\(247\) 2.82588 10.6467i 0.179806 0.677434i
\(248\) −4.84289 + 2.79605i −0.307524 + 0.177549i
\(249\) −2.80666 1.49687i −0.177865 0.0948601i
\(250\) −0.842778 + 2.31551i −0.0533020 + 0.146446i
\(251\) 12.3791 14.7528i 0.781362 0.931191i −0.217632 0.976031i \(-0.569833\pi\)
0.998994 + 0.0448395i \(0.0142776\pi\)
\(252\) 4.61921 42.9077i 0.290983 2.70293i
\(253\) 1.79096 10.1570i 0.112597 0.638567i
\(254\) −1.80053 + 1.03954i −0.112975 + 0.0652262i
\(255\) 3.96986 27.9909i 0.248602 1.75286i
\(256\) −16.4193 13.7775i −1.02621 0.861091i
\(257\) 4.11404 + 3.45209i 0.256627 + 0.215336i 0.762020 0.647554i \(-0.224208\pi\)
−0.505393 + 0.862889i \(0.668652\pi\)
\(258\) 1.20347 8.48547i 0.0749246 0.528282i
\(259\) −18.5399 + 10.7040i −1.15201 + 0.665114i
\(260\) −6.44544 + 36.5539i −0.399729 + 2.26698i
\(261\) −7.47996 5.46338i −0.462998 0.338175i
\(262\) −28.6120 + 34.0984i −1.76765 + 2.10661i
\(263\) 6.84717 18.8124i 0.422215 1.16003i −0.528222 0.849106i \(-0.677141\pi\)
0.950436 0.310919i \(-0.100637\pi\)
\(264\) −36.8904 19.6747i −2.27045 1.21089i
\(265\) −10.6292 + 6.13676i −0.652945 + 0.376978i
\(266\) 19.8265 + 28.1735i 1.21564 + 1.72743i
\(267\) 18.7852 7.56217i 1.14963 0.462797i
\(268\) 1.94484 + 2.31778i 0.118800 + 0.141581i
\(269\) 3.88108 + 22.0107i 0.236633 + 1.34202i 0.839146 + 0.543906i \(0.183055\pi\)
−0.602513 + 0.798109i \(0.705834\pi\)
\(270\) −18.2391 37.7575i −1.11000 2.29785i
\(271\) 11.7304 9.84300i 0.712573 0.597920i −0.212747 0.977107i \(-0.568241\pi\)
0.925320 + 0.379188i \(0.123797\pi\)
\(272\) 29.7149 35.4128i 1.80173 2.14722i
\(273\) 13.2154 + 1.87429i 0.799830 + 0.113437i
\(274\) 7.33129 + 4.23272i 0.442899 + 0.255708i
\(275\) −10.3429 + 12.3262i −0.623700 + 0.743297i
\(276\) 24.0558 5.08152i 1.44799 0.305872i
\(277\) 14.4462 0.867990 0.433995 0.900915i \(-0.357104\pi\)
0.433995 + 0.900915i \(0.357104\pi\)
\(278\) −21.7723 + 37.7107i −1.30581 + 2.26174i
\(279\) 2.13837 + 1.04963i 0.128021 + 0.0628399i
\(280\) −42.9826 51.2247i −2.56870 3.06126i
\(281\) −9.69609 + 3.52909i −0.578420 + 0.210528i −0.614629 0.788817i \(-0.710694\pi\)
0.0362087 + 0.999344i \(0.488472\pi\)
\(282\) 51.6694 + 27.5567i 3.07687 + 1.64098i
\(283\) −1.73085 9.81613i −0.102888 0.583508i −0.992043 0.125901i \(-0.959818\pi\)
0.889155 0.457607i \(-0.151293\pi\)
\(284\) 17.3338 + 30.0230i 1.02857 + 1.78154i
\(285\) 21.6487 + 9.16129i 1.28236 + 0.542668i
\(286\) 11.2243 19.4411i 0.663709 1.14958i
\(287\) −15.4331 5.61720i −0.910988 0.331573i
\(288\) 2.81614 26.1590i 0.165943 1.54144i
\(289\) −8.02877 6.73694i −0.472280 0.396290i
\(290\) −24.5377 + 4.32666i −1.44090 + 0.254070i
\(291\) 7.96208 24.4000i 0.466746 1.43036i
\(292\) 21.9530 1.28470
\(293\) 15.0205 26.0162i 0.877506 1.51989i 0.0234370 0.999725i \(-0.492539\pi\)
0.854069 0.520160i \(-0.174128\pi\)
\(294\) −7.67874 + 6.89646i −0.447833 + 0.402210i
\(295\) 3.43610 + 0.605877i 0.200057 + 0.0352755i
\(296\) −42.8177 + 24.7208i −2.48873 + 1.43687i
\(297\) 1.79460 + 17.7189i 0.104133 + 1.02816i
\(298\) −7.06340 1.24547i −0.409172 0.0721480i
\(299\) 1.32049 + 7.48887i 0.0763659 + 0.433093i
\(300\) −36.4659 11.8993i −2.10536 0.687009i
\(301\) −4.45982 + 3.74223i −0.257060 + 0.215699i
\(302\) 53.4953 9.43267i 3.07831 0.542789i
\(303\) −23.6802 3.35849i −1.36039 0.192940i
\(304\) 22.1217 + 31.4350i 1.26877 + 1.80292i
\(305\) 5.97174i 0.341941i
\(306\) −40.5258 4.36279i −2.31671 0.249404i
\(307\) 5.31850 0.937796i 0.303543 0.0535228i −0.0198021 0.999804i \(-0.506304\pi\)
0.323345 + 0.946281i \(0.395193\pi\)
\(308\) 16.8632 + 46.3312i 0.960869 + 2.63997i
\(309\) −0.566496 16.8307i −0.0322268 0.957466i
\(310\) 6.02124 2.19155i 0.341984 0.124472i
\(311\) 11.4051i 0.646725i −0.946275 0.323363i \(-0.895187\pi\)
0.946275 0.323363i \(-0.104813\pi\)
\(312\) 30.5208 + 4.32866i 1.72790 + 0.245062i
\(313\) 5.20232 29.5038i 0.294053 1.66766i −0.376975 0.926223i \(-0.623036\pi\)
0.671028 0.741432i \(-0.265853\pi\)
\(314\) 29.5530 10.7564i 1.66777 0.607019i
\(315\) −7.92042 + 27.3612i −0.446265 + 1.54163i
\(316\) 27.8985 + 16.1072i 1.56941 + 0.906102i
\(317\) −2.32211 1.94848i −0.130422 0.109437i 0.575243 0.817982i \(-0.304907\pi\)
−0.705666 + 0.708545i \(0.749352\pi\)
\(318\) 9.35823 + 15.0184i 0.524784 + 0.842190i
\(319\) 10.4218 + 1.83764i 0.583507 + 0.102888i
\(320\) −10.1935 12.1482i −0.569835 0.679102i
\(321\) 1.61001 0.0541905i 0.0898622 0.00302462i
\(322\) −20.5965 11.8914i −1.14780 0.662681i
\(323\) 18.6869 13.1505i 1.03977 0.731713i
\(324\) −37.5863 + 19.7425i −2.08813 + 1.09681i
\(325\) 4.05767 11.1483i 0.225079 0.618399i
\(326\) −45.8931 16.7037i −2.54178 0.925134i
\(327\) −6.52630 + 20.0000i −0.360905 + 1.10601i
\(328\) −35.6427 12.9729i −1.96804 0.716307i
\(329\) −13.6052 37.3800i −0.750079 2.06082i
\(330\) 37.7138 + 29.5419i 2.07607 + 1.62623i
\(331\) 21.4843i 1.18088i 0.807080 + 0.590442i \(0.201046\pi\)
−0.807080 + 0.590442i \(0.798954\pi\)
\(332\) 2.96300 + 8.14078i 0.162616 + 0.446783i
\(333\) 18.9060 + 9.28017i 1.03604 + 0.508550i
\(334\) 16.6093 + 28.7681i 0.908818 + 1.57412i
\(335\) −0.998524 1.72949i −0.0545552 0.0944924i
\(336\) −34.6529 + 31.1226i −1.89047 + 1.69787i
\(337\) 7.31787 20.1057i 0.398630 1.09523i −0.564323 0.825554i \(-0.690863\pi\)
0.962952 0.269671i \(-0.0869151\pi\)
\(338\) 2.97659 16.8811i 0.161905 0.918209i
\(339\) −3.08153 + 5.77792i −0.167366 + 0.313814i
\(340\) −58.9834 + 49.4929i −3.19882 + 2.68413i
\(341\) −2.72150 −0.147377
\(342\) 12.1509 31.6388i 0.657047 1.71083i
\(343\) −14.3350 −0.774019
\(344\) −10.2999 + 8.64265i −0.555334 + 0.465981i
\(345\) −16.2190 + 0.545906i −0.873202 + 0.0293906i
\(346\) −11.2131 + 63.5927i −0.602821 + 3.41877i
\(347\) 2.72226 7.47935i 0.146139 0.401513i −0.844928 0.534880i \(-0.820357\pi\)
0.991067 + 0.133367i \(0.0425790\pi\)
\(348\) 5.21397 + 24.6828i 0.279498 + 1.32314i
\(349\) −13.7505 23.8165i −0.736047 1.27487i −0.954263 0.298970i \(-0.903357\pi\)
0.218216 0.975900i \(-0.429976\pi\)
\(350\) 18.5521 + 32.1331i 0.991650 + 1.71759i
\(351\) −5.71164 11.8239i −0.304865 0.631113i
\(352\) 10.2808 + 28.2462i 0.547967 + 1.50553i
\(353\) 8.49237i 0.452003i 0.974127 + 0.226002i \(0.0725654\pi\)
−0.974127 + 0.226002i \(0.927435\pi\)
\(354\) 0.706383 4.98060i 0.0375438 0.264716i
\(355\) −7.82613 21.5021i −0.415368 1.14121i
\(356\) −51.8261 18.8632i −2.74678 0.999746i
\(357\) 18.5012 + 20.5998i 0.979185 + 1.09026i
\(358\) −9.48521 3.45233i −0.501309 0.182462i
\(359\) −10.3379 + 28.4032i −0.545615 + 1.49907i 0.293958 + 0.955818i \(0.405027\pi\)
−0.839573 + 0.543247i \(0.817195\pi\)
\(360\) −18.2921 + 63.1904i −0.964080 + 3.33043i
\(361\) 6.58254 + 17.8233i 0.346449 + 0.938069i
\(362\) −25.3732 14.6492i −1.33359 0.769946i
\(363\) −0.684651 1.09875i −0.0359348 0.0576694i
\(364\) −23.3671 27.8479i −1.22477 1.45962i
\(365\) −14.2698 2.51615i −0.746914 0.131701i
\(366\) −8.60493 + 0.289628i −0.449787 + 0.0151391i
\(367\) 5.50400 + 4.61841i 0.287307 + 0.241079i 0.775038 0.631915i \(-0.217731\pi\)
−0.487731 + 0.872994i \(0.662175\pi\)
\(368\) −22.9808 13.2680i −1.19796 0.691641i
\(369\) 3.86925 + 15.6871i 0.201425 + 0.816639i
\(370\) 53.2359 19.3763i 2.76760 1.00732i
\(371\) 2.08735 11.8379i 0.108370 0.614595i
\(372\) −2.42275 6.01837i −0.125614 0.312038i
\(373\) 11.1335i 0.576472i −0.957559 0.288236i \(-0.906931\pi\)
0.957559 0.288236i \(-0.0930688\pi\)
\(374\) 43.7593 15.9271i 2.26274 0.823569i
\(375\) −1.45301 0.774929i −0.0750330 0.0400172i
\(376\) −31.4211 86.3287i −1.62042 4.45206i
\(377\) −7.68407 + 1.35491i −0.395750 + 0.0697814i
\(378\) 39.8100 + 10.0859i 2.04761 + 0.518760i
\(379\) 17.2308i 0.885085i 0.896747 + 0.442543i \(0.145923\pi\)
−0.896747 + 0.442543i \(0.854077\pi\)
\(380\) −27.1942 57.9608i −1.39503 2.97333i
\(381\) −0.518859 1.28890i −0.0265820 0.0660323i
\(382\) 8.01509 1.41328i 0.410088 0.0723096i
\(383\) −1.14387 + 0.959818i −0.0584488 + 0.0490444i −0.671544 0.740965i \(-0.734369\pi\)
0.613095 + 0.790009i \(0.289924\pi\)
\(384\) 5.59224 5.02252i 0.285378 0.256304i
\(385\) −5.65105 32.0487i −0.288004 1.63335i
\(386\) 37.5602 + 6.62288i 1.91177 + 0.337096i
\(387\) 5.50160 + 1.59258i 0.279662 + 0.0809556i
\(388\) −60.5379 + 34.9516i −3.07335 + 1.77440i
\(389\) −0.561528 0.0990126i −0.0284706 0.00502014i 0.159395 0.987215i \(-0.449046\pi\)
−0.187865 + 0.982195i \(0.560157\pi\)
\(390\) −33.5795 10.9575i −1.70036 0.554853i
\(391\) −7.88730 + 13.6612i −0.398878 + 0.690877i
\(392\) 16.1921 0.817825
\(393\) −19.8767 22.1314i −1.00265 1.11638i
\(394\) 22.0247 3.88355i 1.10959 0.195650i
\(395\) −16.2883 13.6675i −0.819553 0.687687i
\(396\) 28.6095 39.1695i 1.43768 1.96834i
\(397\) 21.8120 + 7.93890i 1.09471 + 0.398442i 0.825364 0.564601i \(-0.190970\pi\)
0.269347 + 0.963043i \(0.413192\pi\)
\(398\) 23.1036 40.0165i 1.15808 2.00585i
\(399\) −20.5020 + 10.4747i −1.02638 + 0.524389i
\(400\) 20.6997 + 35.8530i 1.03499 + 1.79265i
\(401\) −0.833566 4.72739i −0.0416263 0.236074i 0.956895 0.290434i \(-0.0937995\pi\)
−0.998521 + 0.0543591i \(0.982688\pi\)
\(402\) −2.44367 + 1.52270i −0.121879 + 0.0759452i
\(403\) 1.88557 0.686293i 0.0939272 0.0341867i
\(404\) 41.8709 + 49.8998i 2.08315 + 2.48261i
\(405\) 26.6944 8.52494i 1.32646 0.423608i
\(406\) 12.2013 21.1333i 0.605543 1.04883i
\(407\) −24.0617 −1.19269
\(408\) 42.7283 + 47.5750i 2.11536 + 2.35532i
\(409\) −15.6632 + 18.6667i −0.774497 + 0.923010i −0.998671 0.0515396i \(-0.983587\pi\)
0.224174 + 0.974549i \(0.428032\pi\)
\(410\) 37.6393 + 21.7310i 1.85887 + 1.07322i
\(411\) −3.48863 + 4.45365i −0.172081 + 0.219682i
\(412\) −29.4816 + 35.1348i −1.45245 + 1.73096i
\(413\) −2.61772 + 2.19653i −0.128810 + 0.108084i
\(414\) 1.57324 + 23.3442i 0.0773205 + 1.14730i
\(415\) −0.992937 5.63122i −0.0487413 0.276426i
\(416\) −14.2460 16.9777i −0.698466 0.832399i
\(417\) −22.9087 17.9448i −1.12184 0.878761i
\(418\) 3.46573 + 38.5656i 0.169515 + 1.88630i
\(419\) −15.4069 + 8.89520i −0.752678 + 0.434559i −0.826661 0.562700i \(-0.809762\pi\)
0.0739825 + 0.997260i \(0.476429\pi\)
\(420\) 65.8423 41.0275i 3.21278 2.00194i
\(421\) 1.21029 3.32523i 0.0589857 0.162062i −0.906700 0.421777i \(-0.861406\pi\)
0.965685 + 0.259715i \(0.0836287\pi\)
\(422\) 1.75096 2.08671i 0.0852353 0.101580i
\(423\) −23.0821 + 31.6019i −1.12229 + 1.53654i
\(424\) 4.82071 27.3396i 0.234114 1.32773i
\(425\) 21.3132 12.3052i 1.03384 0.596889i
\(426\) −30.6037 + 12.3198i −1.48276 + 0.596898i
\(427\) 4.48033 + 3.75944i 0.216818 + 0.181932i
\(428\) −3.36096 2.82018i −0.162458 0.136319i
\(429\) 11.8102 + 9.25115i 0.570202 + 0.446650i
\(430\) 13.3425 7.70328i 0.643431 0.371485i
\(431\) −3.46228 + 19.6356i −0.166772 + 0.945813i 0.780446 + 0.625223i \(0.214992\pi\)
−0.947218 + 0.320590i \(0.896119\pi\)
\(432\) 44.4186 + 11.2534i 2.13709 + 0.541430i
\(433\) −5.66492 + 6.75119i −0.272239 + 0.324442i −0.884791 0.465989i \(-0.845699\pi\)
0.612552 + 0.790431i \(0.290143\pi\)
\(434\) −2.14638 + 5.89714i −0.103030 + 0.283072i
\(435\) −0.560135 16.6418i −0.0268564 0.797911i
\(436\) 49.6213 28.6489i 2.37643 1.37203i
\(437\) −9.29667 9.25291i −0.444720 0.442627i
\(438\) −2.93354 + 20.6839i −0.140170 + 0.988317i
\(439\) 2.76157 + 3.29111i 0.131803 + 0.157076i 0.827909 0.560862i \(-0.189530\pi\)
−0.696106 + 0.717939i \(0.745086\pi\)
\(440\) −13.0511 74.0162i −0.622185 3.52859i
\(441\) −3.84256 5.72793i −0.182979 0.272759i
\(442\) −26.3020 + 22.0700i −1.25106 + 1.04976i
\(443\) 14.8477 17.6948i 0.705434 0.840704i −0.287695 0.957722i \(-0.592889\pi\)
0.993130 + 0.117018i \(0.0373335\pi\)
\(444\) −21.4204 53.2104i −1.01657 2.52526i
\(445\) 31.5257 + 18.2014i 1.49446 + 0.862828i
\(446\) 14.9904 17.8648i 0.709814 0.845923i
\(447\) 1.48692 4.55673i 0.0703291 0.215526i
\(448\) 15.5314 0.733791
\(449\) 2.64334 4.57841i 0.124747 0.216068i −0.796887 0.604128i \(-0.793521\pi\)
0.921634 + 0.388060i \(0.126855\pi\)
\(450\) 16.0843 32.7678i 0.758222 1.54469i
\(451\) −11.8655 14.1407i −0.558724 0.665861i
\(452\) 16.7590 6.09978i 0.788278 0.286910i
\(453\) 1.22117 + 36.2812i 0.0573755 + 1.70464i
\(454\) 1.04465 + 5.92453i 0.0490281 + 0.278052i
\(455\) 11.9972 + 20.7797i 0.562436 + 0.974168i
\(456\) −47.3492 + 24.1912i −2.21733 + 1.13285i
\(457\) −2.11635 + 3.66563i −0.0989988 + 0.171471i −0.911271 0.411808i \(-0.864897\pi\)
0.812272 + 0.583279i \(0.198231\pi\)
\(458\) 0.655008 + 0.238403i 0.0306065 + 0.0111399i
\(459\) 6.68972 26.4051i 0.312249 1.23248i
\(460\) 33.8578 + 28.4100i 1.57863 + 1.32463i
\(461\) 8.15109 1.43726i 0.379634 0.0669397i 0.0194249 0.999811i \(-0.493816\pi\)
0.360209 + 0.932872i \(0.382705\pi\)
\(462\) −45.9063 + 9.69720i −2.13575 + 0.451154i
\(463\) 22.6191 1.05120 0.525600 0.850732i \(-0.323841\pi\)
0.525600 + 0.850732i \(0.323841\pi\)
\(464\) 13.6138 23.5798i 0.632005 1.09467i
\(465\) 0.885029 + 4.18971i 0.0410423 + 0.194293i
\(466\) −42.9713 7.57699i −1.99061 0.350997i
\(467\) −4.72757 + 2.72946i −0.218766 + 0.126304i −0.605379 0.795938i \(-0.706978\pi\)
0.386613 + 0.922242i \(0.373645\pi\)
\(468\) −9.94436 + 34.3529i −0.459678 + 1.58796i
\(469\) 1.92617 + 0.339636i 0.0889424 + 0.0156829i
\(470\) 18.2796 + 103.669i 0.843173 + 4.78187i
\(471\) 4.34383 + 20.5636i 0.200153 + 0.947520i
\(472\) −6.04561 + 5.07287i −0.278272 + 0.233498i
\(473\) −6.44414 + 1.13628i −0.296302 + 0.0522460i
\(474\) −18.9041 + 24.1334i −0.868294 + 1.10848i
\(475\) 5.34296 + 19.7537i 0.245152 + 0.906361i
\(476\) 75.4104i 3.45643i
\(477\) −10.8153 + 4.78266i −0.495201 + 0.218983i
\(478\) −60.4097 + 10.6519i −2.76308 + 0.487205i
\(479\) 4.03299 + 11.0805i 0.184272 + 0.506283i 0.997090 0.0762349i \(-0.0242899\pi\)
−0.812818 + 0.582518i \(0.802068\pi\)
\(480\) 40.1413 25.0128i 1.83219 1.14167i
\(481\) 16.6710 6.06775i 0.760133 0.276666i
\(482\) 43.1267i 1.96437i
\(483\) 9.80093 12.5121i 0.445958 0.569319i
\(484\) −0.612268 + 3.47234i −0.0278303 + 0.157834i
\(485\) 43.3565 15.7805i 1.96872 0.716554i
\(486\) −13.5786 38.0517i −0.615939 1.72606i
\(487\) 21.0568 + 12.1571i 0.954173 + 0.550892i 0.894375 0.447318i \(-0.147621\pi\)
0.0597985 + 0.998210i \(0.480954\pi\)
\(488\) 10.3473 + 8.68240i 0.468400 + 0.393034i
\(489\) 15.3590 28.7984i 0.694557 1.30231i
\(490\) −18.2718 3.22181i −0.825435 0.145546i
\(491\) 13.1022 + 15.6145i 0.591292 + 0.704674i 0.975854 0.218425i \(-0.0700918\pi\)
−0.384562 + 0.923099i \(0.625647\pi\)
\(492\) 20.7081 38.8280i 0.933592 1.75050i
\(493\) −14.0173 8.09288i −0.631307 0.364485i
\(494\) −12.1265 25.8460i −0.545596 1.16286i
\(495\) −23.0860 + 22.1816i −1.03764 + 0.996990i
\(496\) −2.39486 + 6.57981i −0.107532 + 0.295442i
\(497\) 21.0589 + 7.66482i 0.944622 + 0.343814i
\(498\) −8.06611 + 1.70388i −0.361451 + 0.0763526i
\(499\) −34.7935 12.6638i −1.55757 0.566910i −0.587394 0.809301i \(-0.699846\pi\)
−0.970179 + 0.242391i \(0.922068\pi\)
\(500\) 1.53395 + 4.21448i 0.0686002 + 0.188477i
\(501\) −20.5935 + 8.29012i −0.920049 + 0.370375i
\(502\) 49.9137i 2.22776i
\(503\) 1.56626 + 4.30327i 0.0698361 + 0.191873i 0.969701 0.244296i \(-0.0785570\pi\)
−0.899864 + 0.436170i \(0.856335\pi\)
\(504\) −35.8934 53.5046i −1.59882 2.38329i
\(505\) −21.4974 37.2346i −0.956621 1.65692i
\(506\) −13.3654 23.1496i −0.594166 1.02913i
\(507\) 10.8903 + 3.55365i 0.483654 + 0.157823i
\(508\) −1.29425 + 3.55592i −0.0574230 + 0.157768i
\(509\) −0.670492 + 3.80255i −0.0297190 + 0.168545i −0.996055 0.0887387i \(-0.971716\pi\)
0.966336 + 0.257284i \(0.0828275\pi\)
\(510\) −38.7500 62.1873i −1.71588 2.75370i
\(511\) 10.8711 9.12196i 0.480911 0.403532i
\(512\) −46.8726 −2.07149
\(513\) 19.7940 + 11.0089i 0.873929 + 0.486054i
\(514\) 13.9191 0.613947
\(515\) 23.1904 19.4590i 1.02189 0.857468i
\(516\) −8.24954 13.2391i −0.363166 0.582820i
\(517\) 7.76379 44.0306i 0.341451 1.93646i
\(518\) −18.9769 + 52.1386i −0.833798 + 2.29084i
\(519\) −41.0248 13.3870i −1.80079 0.587623i
\(520\) 27.7074 + 47.9906i 1.21505 + 2.10453i
\(521\) 15.8717 + 27.4906i 0.695352 + 1.20438i 0.970062 + 0.242857i \(0.0780846\pi\)
−0.274711 + 0.961527i \(0.588582\pi\)
\(522\) −23.9526 + 1.61425i −1.04838 + 0.0706536i
\(523\) 11.3436 + 31.1662i 0.496019 + 1.36280i 0.895092 + 0.445882i \(0.147110\pi\)
−0.399073 + 0.916919i \(0.630668\pi\)
\(524\) 81.0173i 3.53926i
\(525\) −23.0023 + 9.25983i −1.00390 + 0.404132i
\(526\) −17.7464 48.7577i −0.773778 2.12594i
\(527\) 3.91144 + 1.42365i 0.170385 + 0.0620151i
\(528\) −51.2205 + 10.8198i −2.22909 + 0.470870i
\(529\) −13.1040 4.76948i −0.569741 0.207369i
\(530\) −10.8797 + 29.8919i −0.472586 + 1.29842i
\(531\) 3.22920 + 0.934778i 0.140135 + 0.0405659i
\(532\) 60.6052 + 16.0860i 2.62757 + 0.697416i
\(533\) 11.7869 + 6.80516i 0.510546 + 0.294764i
\(534\) 24.6981 46.3095i 1.06879 2.00401i
\(535\) 1.86144 + 2.21837i 0.0804770 + 0.0959087i
\(536\) 4.44848 + 0.784387i 0.192145 + 0.0338804i
\(537\) 3.17440 5.95206i 0.136985 0.256850i
\(538\) 44.3745 + 37.2347i 1.91312 + 1.60530i
\(539\) 6.82445 + 3.94010i 0.293950 + 0.169712i
\(540\) −69.6046 31.3060i −2.99530 1.34719i
\(541\) −18.7285 + 6.81663i −0.805203 + 0.293070i −0.711641 0.702544i \(-0.752048\pi\)
−0.0935619 + 0.995613i \(0.529825\pi\)
\(542\) 6.89173 39.0849i 0.296025 1.67884i
\(543\) 12.0739 15.4138i 0.518143 0.661471i
\(544\) 45.9745i 1.97114i
\(545\) −35.5381 + 12.9348i −1.52228 + 0.554066i
\(546\) 29.3605 18.2950i 1.25651 0.782956i
\(547\) 1.48706 + 4.08566i 0.0635820 + 0.174690i 0.967415 0.253194i \(-0.0814812\pi\)
−0.903833 + 0.427885i \(0.859259\pi\)
\(548\) 15.1739 2.67557i 0.648198 0.114295i
\(549\) 0.615865 5.72076i 0.0262845 0.244156i
\(550\) 41.7035i 1.77824i
\(551\) 9.49409 9.53899i 0.404462 0.406374i
\(552\) 22.6352 28.8965i 0.963417 1.22992i
\(553\) 20.5082 3.61616i 0.872099 0.153775i
\(554\) 28.6818 24.0669i 1.21857 1.02250i
\(555\) 7.82485 + 37.0426i 0.332146 + 1.57237i
\(556\) 13.7626 + 78.0517i 0.583665 + 3.31013i
\(557\) −31.1769 5.49732i −1.32101 0.232929i −0.531702 0.846931i \(-0.678447\pi\)
−0.789304 + 0.614002i \(0.789559\pi\)
\(558\) 5.99420 1.47848i 0.253755 0.0625889i
\(559\) 4.17825 2.41231i 0.176721 0.102030i
\(560\) −82.4575 14.5395i −3.48447 0.614405i
\(561\) 6.43194 + 30.4486i 0.271557 + 1.28554i
\(562\) −13.3714 + 23.1600i −0.564041 + 0.976947i
\(563\) −29.3082 −1.23519 −0.617597 0.786494i \(-0.711894\pi\)
−0.617597 + 0.786494i \(0.711894\pi\)
\(564\) 104.282 22.0283i 4.39105 0.927561i
\(565\) −11.5927 + 2.04411i −0.487709 + 0.0859963i
\(566\) −19.7898 16.6056i −0.831826 0.697985i
\(567\) −10.4093 + 25.3944i −0.437150 + 1.06647i
\(568\) 48.6354 + 17.7018i 2.04070 + 0.742753i
\(569\) −16.0751 + 27.8429i −0.673903 + 1.16723i 0.302885 + 0.953027i \(0.402050\pi\)
−0.976788 + 0.214207i \(0.931283\pi\)
\(570\) 58.2441 17.8769i 2.43958 0.748783i
\(571\) 11.4607 + 19.8505i 0.479615 + 0.830717i 0.999727 0.0233811i \(-0.00744312\pi\)
−0.520112 + 0.854098i \(0.674110\pi\)
\(572\) −7.09510 40.2383i −0.296661 1.68245i
\(573\) 0.182965 + 5.43593i 0.00764347 + 0.227089i
\(574\) −39.9992 + 14.5585i −1.66954 + 0.607661i
\(575\) −9.08059 10.8218i −0.378687 0.451301i
\(576\) −8.51226 12.6889i −0.354678 0.528702i
\(577\) 6.14875 10.6500i 0.255976 0.443363i −0.709184 0.705023i \(-0.750937\pi\)
0.965160 + 0.261660i \(0.0842699\pi\)
\(578\) −27.1639 −1.12987
\(579\) −7.90685 + 24.2308i −0.328598 + 1.00700i
\(580\) −29.1506 + 34.7403i −1.21041 + 1.44251i
\(581\) 4.84995 + 2.80012i 0.201210 + 0.116169i
\(582\) −24.8415 61.7088i −1.02971 2.55791i
\(583\) 8.68445 10.3497i 0.359673 0.428642i
\(584\) 25.1068 21.0671i 1.03893 0.871763i
\(585\) 10.4013 21.1901i 0.430042 0.876103i
\(586\) −13.5202 76.6767i −0.558513 3.16748i
\(587\) 12.3452 + 14.7125i 0.509543 + 0.607250i 0.958075 0.286517i \(-0.0924975\pi\)
−0.448532 + 0.893767i \(0.648053\pi\)
\(588\) −2.63788 + 18.5993i −0.108784 + 0.767022i
\(589\) −1.97851 + 2.83984i −0.0815230 + 0.117013i
\(590\) 7.83146 4.52149i 0.322416 0.186147i
\(591\) 0.502770 + 14.9374i 0.0206812 + 0.614443i
\(592\) −21.1737 + 58.1744i −0.870235 + 2.39095i
\(593\) 18.0028 21.4549i 0.739287 0.881048i −0.257064 0.966394i \(-0.582755\pi\)
0.996351 + 0.0853460i \(0.0271996\pi\)
\(594\) 33.0821 + 32.1897i 1.35737 + 1.32076i
\(595\) −8.64316 + 49.0178i −0.354335 + 2.00953i
\(596\) −11.3055 + 6.52723i −0.463091 + 0.267366i
\(597\) 24.3095 + 19.0420i 0.994920 + 0.779339i
\(598\) 15.0979 + 12.6687i 0.617399 + 0.518060i
\(599\) 19.2546 + 16.1565i 0.786721 + 0.660138i 0.944932 0.327268i \(-0.106128\pi\)
−0.158210 + 0.987405i \(0.550572\pi\)
\(600\) −53.1237 + 21.3855i −2.16877 + 0.873059i
\(601\) 40.2954 23.2645i 1.64368 0.948980i 0.664173 0.747579i \(-0.268784\pi\)
0.979509 0.201401i \(-0.0645494\pi\)
\(602\) −2.62018 + 14.8598i −0.106791 + 0.605640i
\(603\) −0.778196 1.75979i −0.0316906 0.0716640i
\(604\) 63.5520 75.7383i 2.58589 3.08175i
\(605\) 0.795965 2.18690i 0.0323606 0.0889100i
\(606\) −52.6102 + 32.7824i −2.13714 + 1.33169i
\(607\) 25.8987 14.9526i 1.05120 0.606909i 0.128213 0.991747i \(-0.459076\pi\)
0.922984 + 0.384838i \(0.125743\pi\)
\(608\) 36.9485 + 9.80696i 1.49846 + 0.397725i
\(609\) 12.8382 + 10.0564i 0.520230 + 0.407506i
\(610\) −9.94869 11.8564i −0.402811 0.480051i
\(611\) 5.72431 + 32.4642i 0.231581 + 1.31336i
\(612\) −61.6087 + 41.3299i −2.49038 + 1.67066i
\(613\) 31.4292 26.3722i 1.26941 1.06516i 0.274801 0.961501i \(-0.411388\pi\)
0.994612 0.103664i \(-0.0330565\pi\)
\(614\) 8.99712 10.7223i 0.363094 0.432719i
\(615\) −17.9108 + 22.8653i −0.722234 + 0.922018i
\(616\) 63.7473 + 36.8045i 2.56845 + 1.48290i
\(617\) −21.9918 + 26.2088i −0.885356 + 1.05513i 0.112750 + 0.993623i \(0.464034\pi\)
−0.998107 + 0.0615034i \(0.980411\pi\)
\(618\) −29.1641 32.4723i −1.17315 1.30623i
\(619\) −19.2560 −0.773964 −0.386982 0.922087i \(-0.626482\pi\)
−0.386982 + 0.922087i \(0.626482\pi\)
\(620\) 5.83133 10.1002i 0.234192 0.405632i
\(621\) −15.5937 1.14970i −0.625752 0.0461360i
\(622\) −19.0005 22.6439i −0.761851 0.907939i
\(623\) −33.5024 + 12.1939i −1.34224 + 0.488537i
\(624\) 32.7594 20.4129i 1.31142 0.817172i
\(625\) −4.59013 26.0319i −0.183605 1.04128i
\(626\) −38.8235 67.2443i −1.55170 2.68762i
\(627\) −25.8427 1.32591i −1.03206 0.0529517i
\(628\) 28.6209 49.5728i 1.14210 1.97817i
\(629\) 34.5824 + 12.5870i 1.37889 + 0.501875i
\(630\) 29.8574 + 67.5185i 1.18955 + 2.69000i
\(631\) −14.4502 12.1251i −0.575253 0.482694i 0.308132 0.951344i \(-0.400296\pi\)
−0.883384 + 0.468650i \(0.844741\pi\)
\(632\) 47.3636 8.35148i 1.88402 0.332204i
\(633\) 1.21639 + 1.35437i 0.0483472 + 0.0538313i
\(634\) −7.85644 −0.312019
\(635\) 1.24884 2.16306i 0.0495588 0.0858383i
\(636\) 30.6187 + 9.99131i 1.21411 + 0.396181i
\(637\) −5.72188 1.00892i −0.226709 0.0399749i
\(638\) 23.7530 13.7138i 0.940390 0.542935i
\(639\) −5.27970 21.4055i −0.208862 0.846790i
\(640\) 13.3069 + 2.34636i 0.526001 + 0.0927482i
\(641\) −3.63113 20.5932i −0.143421 0.813381i −0.968621 0.248541i \(-0.920049\pi\)
0.825200 0.564840i \(-0.191062\pi\)
\(642\) 3.10627 2.78981i 0.122595 0.110105i
\(643\) 29.7629 24.9741i 1.17373 0.984881i 0.173735 0.984792i \(-0.444416\pi\)
1.00000 8.81556e-5i \(-2.80608e-5\pi\)
\(644\) −42.6296 + 7.51675i −1.67984 + 0.296201i
\(645\) 3.84491 + 9.55114i 0.151393 + 0.376076i
\(646\) 15.1930 57.2409i 0.597762 2.25211i
\(647\) 46.7535i 1.83807i −0.394177 0.919034i \(-0.628970\pi\)
0.394177 0.919034i \(-0.371030\pi\)
\(648\) −24.0402 + 58.6482i −0.944388 + 2.30392i
\(649\) −3.78243 + 0.666945i −0.148473 + 0.0261799i
\(650\) −10.5166 28.8941i −0.412494 1.13332i
\(651\) −3.70051 1.97359i −0.145034 0.0773509i
\(652\) −83.5304 + 30.4026i −3.27130 + 1.19066i
\(653\) 5.22968i 0.204653i −0.994751 0.102327i \(-0.967371\pi\)
0.994751 0.102327i \(-0.0326287\pi\)
\(654\) 20.3619 + 50.5810i 0.796214 + 1.97787i
\(655\) 9.28579 52.6623i 0.362826 2.05769i
\(656\) −44.6297 + 16.2439i −1.74250 + 0.634217i
\(657\) −13.4106 3.88204i −0.523196 0.151453i
\(658\) −89.2856 51.5491i −3.48072 2.00959i
\(659\) −3.87066 3.24787i −0.150780 0.126519i 0.564277 0.825585i \(-0.309155\pi\)
−0.715057 + 0.699066i \(0.753599\pi\)
\(660\) 87.1460 2.93320i 3.39215 0.114175i
\(661\) −18.0773 3.18751i −0.703125 0.123980i −0.189356 0.981908i \(-0.560640\pi\)
−0.513769 + 0.857929i \(0.671751\pi\)
\(662\) 35.7920 + 42.6553i 1.39110 + 1.65784i
\(663\) −12.1347 19.4742i −0.471273 0.756314i
\(664\) 11.2009 + 6.46685i 0.434680 + 0.250963i
\(665\) −37.5505 17.4024i −1.45615 0.674836i
\(666\) 52.9968 13.0717i 2.05358 0.506519i
\(667\) −3.17771 + 8.73067i −0.123041 + 0.338053i
\(668\) 56.8150 + 20.6790i 2.19824 + 0.800094i
\(669\) 10.4138 + 11.5951i 0.402621 + 0.448291i
\(670\) −4.86376 1.77026i −0.187903 0.0683913i
\(671\) 2.24832 + 6.17720i 0.0867954 + 0.238468i
\(672\) −6.50457 + 45.8628i −0.250919 + 1.76919i
\(673\) 1.89398i 0.0730077i 0.999334 + 0.0365039i \(0.0116221\pi\)
−0.999334 + 0.0365039i \(0.988378\pi\)
\(674\) −18.9663 52.1094i −0.730554 2.00718i
\(675\) 20.1719 + 13.7174i 0.776417 + 0.527984i
\(676\) −15.5997 27.0194i −0.599987 1.03921i
\(677\) 24.4372 + 42.3265i 0.939198 + 1.62674i 0.766972 + 0.641681i \(0.221763\pi\)
0.172226 + 0.985057i \(0.444904\pi\)
\(678\) 3.50769 + 16.6053i 0.134712 + 0.637723i
\(679\) −15.4552 + 42.4629i −0.593117 + 1.62957i
\(680\) −19.9613 + 113.206i −0.765481 + 4.34126i
\(681\) −4.01809 + 0.135242i −0.153973 + 0.00518250i
\(682\) −5.40331 + 4.53391i −0.206903 + 0.173613i
\(683\) 48.2589 1.84657 0.923287 0.384111i \(-0.125492\pi\)
0.923287 + 0.384111i \(0.125492\pi\)
\(684\) −20.0738 58.3294i −0.767540 2.23028i
\(685\) −10.1699 −0.388573
\(686\) −28.4610 + 23.8816i −1.08665 + 0.911805i
\(687\) −0.219210 + 0.411024i −0.00836340 + 0.0156815i
\(688\) −2.92350 + 16.5800i −0.111457 + 0.632107i
\(689\) −3.40703 + 9.36075i −0.129798 + 0.356616i
\(690\) −31.2920 + 28.1041i −1.19127 + 1.06991i
\(691\) −24.2403 41.9854i −0.922144 1.59720i −0.796091 0.605177i \(-0.793102\pi\)
−0.126053 0.992023i \(-0.540231\pi\)
\(692\) 58.7656 + 101.785i 2.23393 + 3.86928i
\(693\) −2.10837 31.2846i −0.0800903 1.18840i
\(694\) −7.05550 19.3848i −0.267823 0.735838i
\(695\) 52.3121i 1.98431i
\(696\) 29.6497 + 23.2252i 1.12387 + 0.880348i
\(697\) 9.65635 + 26.5306i 0.365760 + 1.00492i
\(698\) −66.9779 24.3780i −2.53515 0.922720i
\(699\) 9.04594 27.7216i 0.342149 1.04853i
\(700\) 63.4608 + 23.0978i 2.39859 + 0.873016i
\(701\) −6.42122 + 17.6422i −0.242526 + 0.666335i 0.757384 + 0.652969i \(0.226477\pi\)
−0.999911 + 0.0133661i \(0.995745\pi\)
\(702\) −31.0382 13.9600i −1.17146 0.526886i
\(703\) −17.4927 + 25.1080i −0.659748 + 0.946965i
\(704\) 15.1179 + 8.72834i 0.569779 + 0.328962i
\(705\) −70.3093 + 2.36650i −2.64800 + 0.0891275i
\(706\) 14.1480 + 16.8609i 0.532466 + 0.634568i
\(707\) 41.4689 + 7.31209i 1.55960 + 0.274999i
\(708\) −4.84212 7.77080i −0.181978 0.292045i
\(709\) 13.1075 + 10.9985i 0.492264 + 0.413059i 0.854837 0.518897i \(-0.173657\pi\)
−0.362573 + 0.931955i \(0.618102\pi\)
\(710\) −51.3598 29.6526i −1.92750 1.11284i
\(711\) −14.1942 14.7729i −0.532324 0.554027i
\(712\) −77.3734 + 28.1616i −2.89969 + 1.05540i
\(713\) 0.414906 2.35305i 0.0155384 0.0881224i
\(714\) 71.0510 + 10.0769i 2.65902 + 0.377120i
\(715\) 26.9687i 1.00857i
\(716\) −17.2641 + 6.28362i −0.645190 + 0.234830i
\(717\) −1.37901 40.9706i −0.0514999 1.53008i
\(718\) 26.7936 + 73.6149i 0.999929 + 2.74728i
\(719\) −15.3670 + 2.70961i −0.573091 + 0.101051i −0.452681 0.891673i \(-0.649532\pi\)
−0.120411 + 0.992724i \(0.538421\pi\)
\(720\) 33.3138 + 75.3346i 1.24153 + 2.80756i
\(721\) 29.6490i 1.10418i
\(722\) 42.7621 + 24.4204i 1.59144 + 0.908834i
\(723\) −28.5354 4.04709i −1.06124 0.150513i
\(724\) −52.5162 + 9.26002i −1.95175 + 0.344146i
\(725\) 11.1039 9.31728i 0.412389 0.346035i
\(726\) −3.18979 1.04088i −0.118384 0.0386305i
\(727\) −1.10141 6.24641i −0.0408490 0.231666i 0.957547 0.288276i \(-0.0930821\pi\)
−0.998396 + 0.0566096i \(0.981971\pi\)
\(728\) −53.4481 9.42434i −1.98092 0.349289i
\(729\) 26.4517 5.41366i 0.979692 0.200506i
\(730\) −32.5233 + 18.7773i −1.20374 + 0.694979i
\(731\) 9.85617 + 1.73791i 0.364544 + 0.0642789i
\(732\) −11.6589 + 10.4711i −0.430924 + 0.387023i
\(733\) −14.5143 + 25.1395i −0.536097 + 0.928548i 0.463012 + 0.886352i \(0.346769\pi\)
−0.999109 + 0.0421960i \(0.986565\pi\)
\(734\) 18.6218 0.687345
\(735\) 3.84642 11.7875i 0.141877 0.434787i
\(736\) −25.9895 + 4.58265i −0.957985 + 0.168919i
\(737\) 1.68402 + 1.41306i 0.0620318 + 0.0520509i
\(738\) 33.8163 + 24.6995i 1.24479 + 0.909200i
\(739\) 0.118940 + 0.0432906i 0.00437528 + 0.00159247i 0.344207 0.938894i \(-0.388148\pi\)
−0.339832 + 0.940486i \(0.610370\pi\)
\(740\) 51.5567 89.2989i 1.89526 3.28269i
\(741\) 18.2393 5.59823i 0.670039 0.205656i
\(742\) −15.5773 26.9807i −0.571861 0.990492i
\(743\) −9.01776 51.1422i −0.330829 1.87623i −0.465064 0.885277i \(-0.653969\pi\)
0.134234 0.990950i \(-0.457143\pi\)
\(744\) −8.54630 4.55798i −0.313323 0.167104i
\(745\) 8.09685 2.94701i 0.296646 0.107970i
\(746\) −18.5480 22.1047i −0.679092 0.809311i
\(747\) −0.370458 5.49696i −0.0135543 0.201123i
\(748\) 42.3791 73.4027i 1.54953 2.68387i
\(749\) −2.83620 −0.103632
\(750\) −4.17583 + 0.882098i −0.152480 + 0.0322097i
\(751\) −4.42954 + 5.27892i −0.161636 + 0.192630i −0.840783 0.541372i \(-0.817905\pi\)
0.679147 + 0.734002i \(0.262350\pi\)
\(752\) −99.6216 57.5166i −3.63283 2.09741i
\(753\) 33.0262 + 4.68399i 1.20354 + 0.170694i
\(754\) −12.9989 + 15.4914i −0.473391 + 0.564165i
\(755\) −49.9904 + 41.9469i −1.81934 + 1.52661i
\(756\) 67.3063 32.5129i 2.44791 1.18248i
\(757\) 1.12341 + 6.37117i 0.0408310 + 0.231564i 0.998393 0.0566619i \(-0.0180457\pi\)
−0.957562 + 0.288226i \(0.906935\pi\)
\(758\) 28.7058 + 34.2103i 1.04264 + 1.24257i
\(759\) 16.5715 6.67104i 0.601508 0.242143i
\(760\) −86.7227 40.1907i −3.14576 1.45787i
\(761\) 22.4632 12.9692i 0.814292 0.470132i −0.0341523 0.999417i \(-0.510873\pi\)
0.848444 + 0.529285i \(0.177540\pi\)
\(762\) −3.17741 1.69460i −0.115105 0.0613889i
\(763\) 12.6682 34.8056i 0.458620 1.26005i
\(764\) 9.52186 11.3477i 0.344489 0.410546i
\(765\) 44.7835 19.8037i 1.61915 0.716006i
\(766\) −0.672031 + 3.81128i −0.0242815 + 0.137707i
\(767\) 2.45245 1.41592i 0.0885528 0.0511260i
\(768\) 5.21310 36.7568i 0.188111 1.32635i
\(769\) 12.1577 + 10.2015i 0.438416 + 0.367875i 0.835116 0.550073i \(-0.185400\pi\)
−0.396700 + 0.917948i \(0.629845\pi\)
\(770\) −64.6117 54.2156i −2.32844 1.95380i
\(771\) −1.30620 + 9.20982i −0.0470416 + 0.331683i
\(772\) 60.1180