Properties

Label 930.2.j.h.497.5
Level $930$
Weight $2$
Character 930.497
Analytic conductor $7.426$
Analytic rank $0$
Dimension $40$
Inner twists $4$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [930,2,Mod(497,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(4))
 
chi = DirichletCharacter(H, H._module([2, 1, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.497");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.j (of order \(4\), degree \(2\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(20\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 497.5
Character \(\chi\) \(=\) 930.497
Dual form 930.2.j.h.683.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.707107 + 0.707107i) q^{2} +(-0.404727 - 1.68410i) q^{3} -1.00000i q^{4} +(-2.01952 + 0.959968i) q^{5} +(1.47702 + 0.904654i) q^{6} +(-2.95632 - 2.95632i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.67239 + 1.36320i) q^{9} +O(q^{10})\) \(q+(-0.707107 + 0.707107i) q^{2} +(-0.404727 - 1.68410i) q^{3} -1.00000i q^{4} +(-2.01952 + 0.959968i) q^{5} +(1.47702 + 0.904654i) q^{6} +(-2.95632 - 2.95632i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-2.67239 + 1.36320i) q^{9} +(0.749217 - 2.10682i) q^{10} +4.99639i q^{11} +(-1.68410 + 0.404727i) q^{12} +(-0.576660 + 0.576660i) q^{13} +4.18087 q^{14} +(2.43404 + 3.01255i) q^{15} -1.00000 q^{16} +(1.92786 - 1.92786i) q^{17} +(0.925735 - 2.85360i) q^{18} +2.28957i q^{19} +(0.959968 + 2.01952i) q^{20} +(-3.78224 + 6.17525i) q^{21} +(-3.53298 - 3.53298i) q^{22} +(-2.35823 - 2.35823i) q^{23} +(0.904654 - 1.47702i) q^{24} +(3.15692 - 3.87735i) q^{25} -0.815520i q^{26} +(3.37736 + 3.94885i) q^{27} +(-2.95632 + 2.95632i) q^{28} +7.87675 q^{29} +(-3.85132 - 0.409070i) q^{30} -1.00000 q^{31} +(0.707107 - 0.707107i) q^{32} +(8.41443 - 2.02218i) q^{33} +2.72641i q^{34} +(8.80833 + 3.13238i) q^{35} +(1.36320 + 2.67239i) q^{36} +(5.67026 + 5.67026i) q^{37} +(-1.61897 - 1.61897i) q^{38} +(1.20454 + 0.737763i) q^{39} +(-2.10682 - 0.749217i) q^{40} -6.89238i q^{41} +(-1.69211 - 7.04101i) q^{42} +(7.51778 - 7.51778i) q^{43} +4.99639 q^{44} +(4.08832 - 5.31843i) q^{45} +3.33504 q^{46} +(-4.39924 + 4.39924i) q^{47} +(0.404727 + 1.68410i) q^{48} +10.4797i q^{49} +(0.509417 + 4.97398i) q^{50} +(-4.02697 - 2.46645i) q^{51} +(0.576660 + 0.576660i) q^{52} +(-3.78705 - 3.78705i) q^{53} +(-5.18042 - 0.404103i) q^{54} +(-4.79637 - 10.0903i) q^{55} -4.18087i q^{56} +(3.85586 - 0.926650i) q^{57} +(-5.56971 + 5.56971i) q^{58} -8.23302 q^{59} +(3.01255 - 2.43404i) q^{60} +2.57501 q^{61} +(0.707107 - 0.707107i) q^{62} +(11.9305 + 3.87038i) q^{63} +1.00000i q^{64} +(0.611001 - 1.71815i) q^{65} +(-4.52000 + 7.37979i) q^{66} +(8.10538 + 8.10538i) q^{67} +(-1.92786 - 1.92786i) q^{68} +(-3.01706 + 4.92594i) q^{69} +(-8.44335 + 4.01350i) q^{70} +0.808470i q^{71} +(-2.85360 - 0.925735i) q^{72} +(6.98002 - 6.98002i) q^{73} -8.01896 q^{74} +(-7.80754 - 3.74731i) q^{75} +2.28957 q^{76} +(14.7709 - 14.7709i) q^{77} +(-1.37342 + 0.330063i) q^{78} +6.04015i q^{79} +(2.01952 - 0.959968i) q^{80} +(5.28335 - 7.28603i) q^{81} +(4.87365 + 4.87365i) q^{82} +(5.46968 + 5.46968i) q^{83} +(6.17525 + 3.78224i) q^{84} +(-2.04267 + 5.74404i) q^{85} +10.6317i q^{86} +(-3.18794 - 13.2652i) q^{87} +(-3.53298 + 3.53298i) q^{88} +13.0671 q^{89} +(0.869819 + 6.65157i) q^{90} +3.40958 q^{91} +(-2.35823 + 2.35823i) q^{92} +(0.404727 + 1.68410i) q^{93} -6.22147i q^{94} +(-2.19791 - 4.62383i) q^{95} +(-1.47702 - 0.904654i) q^{96} +(9.00142 + 9.00142i) q^{97} +(-7.41025 - 7.41025i) q^{98} +(-6.81110 - 13.3523i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40 q - 4 q^{3} + 8 q^{6} - 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 40 q - 4 q^{3} + 8 q^{6} - 8 q^{7} + 4 q^{12} + 24 q^{13} - 12 q^{15} - 40 q^{16} - 56 q^{21} + 16 q^{22} - 48 q^{25} + 8 q^{27} - 8 q^{28} + 4 q^{30} - 40 q^{31} - 20 q^{33} - 8 q^{37} - 8 q^{40} + 12 q^{42} - 16 q^{43} + 76 q^{45} - 8 q^{46} + 4 q^{48} + 16 q^{51} - 24 q^{52} - 48 q^{55} + 56 q^{57} - 56 q^{58} + 12 q^{60} + 128 q^{61} - 24 q^{63} + 16 q^{66} + 8 q^{67} + 32 q^{70} + 248 q^{73} - 8 q^{75} + 56 q^{76} + 8 q^{78} + 40 q^{81} - 8 q^{82} - 48 q^{85} + 12 q^{87} + 16 q^{88} + 16 q^{90} - 192 q^{91} + 4 q^{93} - 8 q^{96} + 24 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(-1\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.707107 + 0.707107i −0.500000 + 0.500000i
\(3\) −0.404727 1.68410i −0.233670 0.972316i
\(4\) 1.00000i 0.500000i
\(5\) −2.01952 + 0.959968i −0.903157 + 0.429311i
\(6\) 1.47702 + 0.904654i 0.602993 + 0.369323i
\(7\) −2.95632 2.95632i −1.11738 1.11738i −0.992124 0.125261i \(-0.960023\pi\)
−0.125261 0.992124i \(-0.539977\pi\)
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) −2.67239 + 1.36320i −0.890797 + 0.454401i
\(10\) 0.749217 2.10682i 0.236923 0.666234i
\(11\) 4.99639i 1.50647i 0.657752 + 0.753234i \(0.271507\pi\)
−0.657752 + 0.753234i \(0.728493\pi\)
\(12\) −1.68410 + 0.404727i −0.486158 + 0.116835i
\(13\) −0.576660 + 0.576660i −0.159937 + 0.159937i −0.782539 0.622602i \(-0.786076\pi\)
0.622602 + 0.782539i \(0.286076\pi\)
\(14\) 4.18087 1.11738
\(15\) 2.43404 + 3.01255i 0.628466 + 0.777837i
\(16\) −1.00000 −0.250000
\(17\) 1.92786 1.92786i 0.467575 0.467575i −0.433553 0.901128i \(-0.642740\pi\)
0.901128 + 0.433553i \(0.142740\pi\)
\(18\) 0.925735 2.85360i 0.218198 0.672599i
\(19\) 2.28957i 0.525263i 0.964896 + 0.262631i \(0.0845903\pi\)
−0.964896 + 0.262631i \(0.915410\pi\)
\(20\) 0.959968 + 2.01952i 0.214655 + 0.451578i
\(21\) −3.78224 + 6.17525i −0.825352 + 1.34755i
\(22\) −3.53298 3.53298i −0.753234 0.753234i
\(23\) −2.35823 2.35823i −0.491725 0.491725i 0.417124 0.908849i \(-0.363038\pi\)
−0.908849 + 0.417124i \(0.863038\pi\)
\(24\) 0.904654 1.47702i 0.184662 0.301496i
\(25\) 3.15692 3.87735i 0.631385 0.775470i
\(26\) 0.815520i 0.159937i
\(27\) 3.37736 + 3.94885i 0.649974 + 0.759957i
\(28\) −2.95632 + 2.95632i −0.558692 + 0.558692i
\(29\) 7.87675 1.46268 0.731338 0.682015i \(-0.238896\pi\)
0.731338 + 0.682015i \(0.238896\pi\)
\(30\) −3.85132 0.409070i −0.703152 0.0746857i
\(31\) −1.00000 −0.179605
\(32\) 0.707107 0.707107i 0.125000 0.125000i
\(33\) 8.41443 2.02218i 1.46476 0.352016i
\(34\) 2.72641i 0.467575i
\(35\) 8.80833 + 3.13238i 1.48888 + 0.529469i
\(36\) 1.36320 + 2.67239i 0.227201 + 0.445399i
\(37\) 5.67026 + 5.67026i 0.932186 + 0.932186i 0.997842 0.0656566i \(-0.0209142\pi\)
−0.0656566 + 0.997842i \(0.520914\pi\)
\(38\) −1.61897 1.61897i −0.262631 0.262631i
\(39\) 1.20454 + 0.737763i 0.192881 + 0.118137i
\(40\) −2.10682 0.749217i −0.333117 0.118462i
\(41\) 6.89238i 1.07641i −0.842814 0.538204i \(-0.819103\pi\)
0.842814 0.538204i \(-0.180897\pi\)
\(42\) −1.69211 7.04101i −0.261099 1.08645i
\(43\) 7.51778 7.51778i 1.14645 1.14645i 0.159205 0.987245i \(-0.449107\pi\)
0.987245 0.159205i \(-0.0508932\pi\)
\(44\) 4.99639 0.753234
\(45\) 4.08832 5.31843i 0.609450 0.792824i
\(46\) 3.33504 0.491725
\(47\) −4.39924 + 4.39924i −0.641696 + 0.641696i −0.950972 0.309276i \(-0.899913\pi\)
0.309276 + 0.950972i \(0.399913\pi\)
\(48\) 0.404727 + 1.68410i 0.0584174 + 0.243079i
\(49\) 10.4797i 1.49710i
\(50\) 0.509417 + 4.97398i 0.0720425 + 0.703427i
\(51\) −4.02697 2.46645i −0.563889 0.345373i
\(52\) 0.576660 + 0.576660i 0.0799683 + 0.0799683i
\(53\) −3.78705 3.78705i −0.520191 0.520191i 0.397438 0.917629i \(-0.369899\pi\)
−0.917629 + 0.397438i \(0.869899\pi\)
\(54\) −5.18042 0.404103i −0.704965 0.0549914i
\(55\) −4.79637 10.0903i −0.646743 1.36058i
\(56\) 4.18087i 0.558692i
\(57\) 3.85586 0.926650i 0.510721 0.122738i
\(58\) −5.56971 + 5.56971i −0.731338 + 0.731338i
\(59\) −8.23302 −1.07185 −0.535924 0.844266i \(-0.680037\pi\)
−0.535924 + 0.844266i \(0.680037\pi\)
\(60\) 3.01255 2.43404i 0.388919 0.314233i
\(61\) 2.57501 0.329696 0.164848 0.986319i \(-0.447287\pi\)
0.164848 + 0.986319i \(0.447287\pi\)
\(62\) 0.707107 0.707107i 0.0898027 0.0898027i
\(63\) 11.9305 + 3.87038i 1.50310 + 0.487622i
\(64\) 1.00000i 0.125000i
\(65\) 0.611001 1.71815i 0.0757854 0.213110i
\(66\) −4.52000 + 7.37979i −0.556374 + 0.908390i
\(67\) 8.10538 + 8.10538i 0.990230 + 0.990230i 0.999953 0.00972284i \(-0.00309492\pi\)
−0.00972284 + 0.999953i \(0.503095\pi\)
\(68\) −1.92786 1.92786i −0.233788 0.233788i
\(69\) −3.01706 + 4.92594i −0.363211 + 0.593013i
\(70\) −8.44335 + 4.01350i −1.00917 + 0.479705i
\(71\) 0.808470i 0.0959477i 0.998849 + 0.0479739i \(0.0152764\pi\)
−0.998849 + 0.0479739i \(0.984724\pi\)
\(72\) −2.85360 0.925735i −0.336300 0.109099i
\(73\) 6.98002 6.98002i 0.816949 0.816949i −0.168716 0.985665i \(-0.553962\pi\)
0.985665 + 0.168716i \(0.0539620\pi\)
\(74\) −8.01896 −0.932186
\(75\) −7.80754 3.74731i −0.901537 0.432702i
\(76\) 2.28957 0.262631
\(77\) 14.7709 14.7709i 1.68330 1.68330i
\(78\) −1.37342 + 0.330063i −0.155509 + 0.0373723i
\(79\) 6.04015i 0.679570i 0.940503 + 0.339785i \(0.110354\pi\)
−0.940503 + 0.339785i \(0.889646\pi\)
\(80\) 2.01952 0.959968i 0.225789 0.107328i
\(81\) 5.28335 7.28603i 0.587039 0.809559i
\(82\) 4.87365 + 4.87365i 0.538204 + 0.538204i
\(83\) 5.46968 + 5.46968i 0.600375 + 0.600375i 0.940412 0.340037i \(-0.110440\pi\)
−0.340037 + 0.940412i \(0.610440\pi\)
\(84\) 6.17525 + 3.78224i 0.673775 + 0.412676i
\(85\) −2.04267 + 5.74404i −0.221559 + 0.623029i
\(86\) 10.6317i 1.14645i
\(87\) −3.18794 13.2652i −0.341783 1.42218i
\(88\) −3.53298 + 3.53298i −0.376617 + 0.376617i
\(89\) 13.0671 1.38511 0.692553 0.721367i \(-0.256486\pi\)
0.692553 + 0.721367i \(0.256486\pi\)
\(90\) 0.869819 + 6.65157i 0.0916870 + 0.701137i
\(91\) 3.40958 0.357421
\(92\) −2.35823 + 2.35823i −0.245862 + 0.245862i
\(93\) 0.404727 + 1.68410i 0.0419683 + 0.174633i
\(94\) 6.22147i 0.641696i
\(95\) −2.19791 4.62383i −0.225501 0.474394i
\(96\) −1.47702 0.904654i −0.150748 0.0923308i
\(97\) 9.00142 + 9.00142i 0.913955 + 0.913955i 0.996581 0.0826253i \(-0.0263305\pi\)
−0.0826253 + 0.996581i \(0.526330\pi\)
\(98\) −7.41025 7.41025i −0.748549 0.748549i
\(99\) −6.81110 13.3523i −0.684541 1.34196i
\(100\) −3.87735 3.15692i −0.387735 0.315692i
\(101\) 15.8353i 1.57567i 0.615885 + 0.787836i \(0.288799\pi\)
−0.615885 + 0.787836i \(0.711201\pi\)
\(102\) 4.59155 1.10345i 0.454631 0.109258i
\(103\) −10.6610 + 10.6610i −1.05046 + 1.05046i −0.0517992 + 0.998658i \(0.516496\pi\)
−0.998658 + 0.0517992i \(0.983504\pi\)
\(104\) −0.815520 −0.0799683
\(105\) 1.71027 16.1019i 0.166905 1.57138i
\(106\) 5.35569 0.520191
\(107\) −9.39588 + 9.39588i −0.908334 + 0.908334i −0.996138 0.0878038i \(-0.972015\pi\)
0.0878038 + 0.996138i \(0.472015\pi\)
\(108\) 3.94885 3.37736i 0.379978 0.324987i
\(109\) 15.6740i 1.50129i 0.660703 + 0.750647i \(0.270258\pi\)
−0.660703 + 0.750647i \(0.729742\pi\)
\(110\) 10.5265 + 3.74338i 1.00366 + 0.356917i
\(111\) 7.25438 11.8442i 0.688556 1.12420i
\(112\) 2.95632 + 2.95632i 0.279346 + 0.279346i
\(113\) 6.71657 + 6.71657i 0.631842 + 0.631842i 0.948530 0.316688i \(-0.102571\pi\)
−0.316688 + 0.948530i \(0.602571\pi\)
\(114\) −2.07126 + 3.38175i −0.193992 + 0.316730i
\(115\) 7.02632 + 2.49867i 0.655208 + 0.233002i
\(116\) 7.87675i 0.731338i
\(117\) 0.754955 2.32716i 0.0697957 0.215146i
\(118\) 5.82162 5.82162i 0.535924 0.535924i
\(119\) −11.3988 −1.04492
\(120\) −0.409070 + 3.85132i −0.0373428 + 0.351576i
\(121\) −13.9639 −1.26945
\(122\) −1.82081 + 1.82081i −0.164848 + 0.164848i
\(123\) −11.6075 + 2.78953i −1.04661 + 0.251524i
\(124\) 1.00000i 0.0898027i
\(125\) −2.65334 + 10.8609i −0.237322 + 0.971431i
\(126\) −11.1729 + 5.69938i −0.995363 + 0.507741i
\(127\) −5.28171 5.28171i −0.468676 0.468676i 0.432809 0.901486i \(-0.357522\pi\)
−0.901486 + 0.432809i \(0.857522\pi\)
\(128\) −0.707107 0.707107i −0.0625000 0.0625000i
\(129\) −15.7034 9.61805i −1.38260 0.846822i
\(130\) 0.782873 + 1.64696i 0.0686625 + 0.144448i
\(131\) 6.57780i 0.574705i −0.957825 0.287352i \(-0.907225\pi\)
0.957825 0.287352i \(-0.0927751\pi\)
\(132\) −2.02218 8.41443i −0.176008 0.732382i
\(133\) 6.76869 6.76869i 0.586920 0.586920i
\(134\) −11.4627 −0.990230
\(135\) −10.6114 4.73262i −0.913286 0.407319i
\(136\) 2.72641 0.233788
\(137\) 6.79419 6.79419i 0.580467 0.580467i −0.354565 0.935031i \(-0.615371\pi\)
0.935031 + 0.354565i \(0.115371\pi\)
\(138\) −1.34978 5.61655i −0.114901 0.478112i
\(139\) 1.63608i 0.138771i −0.997590 0.0693853i \(-0.977896\pi\)
0.997590 0.0693853i \(-0.0221038\pi\)
\(140\) 3.13238 8.80833i 0.264734 0.744439i
\(141\) 9.18927 + 5.62828i 0.773876 + 0.473986i
\(142\) −0.571674 0.571674i −0.0479739 0.0479739i
\(143\) −2.88122 2.88122i −0.240939 0.240939i
\(144\) 2.67239 1.36320i 0.222699 0.113600i
\(145\) −15.9073 + 7.56143i −1.32103 + 0.627943i
\(146\) 9.87123i 0.816949i
\(147\) 17.6488 4.24141i 1.45565 0.349826i
\(148\) 5.67026 5.67026i 0.466093 0.466093i
\(149\) 12.8062 1.04913 0.524564 0.851371i \(-0.324228\pi\)
0.524564 + 0.851371i \(0.324228\pi\)
\(150\) 8.17051 2.87102i 0.667119 0.234418i
\(151\) 4.04968 0.329558 0.164779 0.986330i \(-0.447309\pi\)
0.164779 + 0.986330i \(0.447309\pi\)
\(152\) −1.61897 + 1.61897i −0.131316 + 0.131316i
\(153\) −2.52393 + 7.78007i −0.204048 + 0.628981i
\(154\) 20.8893i 1.68330i
\(155\) 2.01952 0.959968i 0.162212 0.0771065i
\(156\) 0.737763 1.20454i 0.0590683 0.0964406i
\(157\) −15.9477 15.9477i −1.27277 1.27277i −0.944629 0.328140i \(-0.893578\pi\)
−0.328140 0.944629i \(-0.606422\pi\)
\(158\) −4.27103 4.27103i −0.339785 0.339785i
\(159\) −4.84505 + 7.91049i −0.384237 + 0.627343i
\(160\) −0.749217 + 2.10682i −0.0592308 + 0.166558i
\(161\) 13.9434i 1.09889i
\(162\) 1.41611 + 8.88789i 0.111260 + 0.698299i
\(163\) −7.39856 + 7.39856i −0.579500 + 0.579500i −0.934766 0.355265i \(-0.884391\pi\)
0.355265 + 0.934766i \(0.384391\pi\)
\(164\) −6.89238 −0.538204
\(165\) −15.0519 + 12.1614i −1.17179 + 0.946764i
\(166\) −7.73529 −0.600375
\(167\) −2.63668 + 2.63668i −0.204032 + 0.204032i −0.801725 0.597693i \(-0.796084\pi\)
0.597693 + 0.801725i \(0.296084\pi\)
\(168\) −7.04101 + 1.69211i −0.543226 + 0.130549i
\(169\) 12.3349i 0.948841i
\(170\) −2.61726 5.50604i −0.200735 0.422294i
\(171\) −3.12115 6.11862i −0.238680 0.467902i
\(172\) −7.51778 7.51778i −0.573225 0.573225i
\(173\) 12.1778 + 12.1778i 0.925862 + 0.925862i 0.997435 0.0715734i \(-0.0228020\pi\)
−0.0715734 + 0.997435i \(0.522802\pi\)
\(174\) 11.6342 + 7.12573i 0.881983 + 0.540201i
\(175\) −20.7956 + 2.12981i −1.57200 + 0.160998i
\(176\) 4.99639i 0.376617i
\(177\) 3.33213 + 13.8652i 0.250458 + 1.04217i
\(178\) −9.23980 + 9.23980i −0.692553 + 0.692553i
\(179\) 17.0570 1.27490 0.637448 0.770493i \(-0.279990\pi\)
0.637448 + 0.770493i \(0.279990\pi\)
\(180\) −5.31843 4.08832i −0.396412 0.304725i
\(181\) −13.7882 −1.02487 −0.512434 0.858726i \(-0.671256\pi\)
−0.512434 + 0.858726i \(0.671256\pi\)
\(182\) −2.41094 + 2.41094i −0.178711 + 0.178711i
\(183\) −1.04218 4.33658i −0.0770400 0.320569i
\(184\) 3.33504i 0.245862i
\(185\) −16.8945 6.00794i −1.24211 0.441713i
\(186\) −1.47702 0.904654i −0.108301 0.0663324i
\(187\) 9.63235 + 9.63235i 0.704387 + 0.704387i
\(188\) 4.39924 + 4.39924i 0.320848 + 0.320848i
\(189\) 1.68950 21.6586i 0.122893 1.57543i
\(190\) 4.82370 + 1.71538i 0.349948 + 0.124447i
\(191\) 20.9450i 1.51553i −0.652528 0.757765i \(-0.726291\pi\)
0.652528 0.757765i \(-0.273709\pi\)
\(192\) 1.68410 0.404727i 0.121540 0.0292087i
\(193\) 8.68054 8.68054i 0.624839 0.624839i −0.321926 0.946765i \(-0.604330\pi\)
0.946765 + 0.321926i \(0.104330\pi\)
\(194\) −12.7299 −0.913955
\(195\) −3.14083 0.333605i −0.224919 0.0238899i
\(196\) 10.4797 0.748549
\(197\) 10.8415 10.8415i 0.772428 0.772428i −0.206102 0.978530i \(-0.566078\pi\)
0.978530 + 0.206102i \(0.0660780\pi\)
\(198\) 14.2577 + 4.62534i 1.01325 + 0.328708i
\(199\) 14.2096i 1.00729i 0.863911 + 0.503645i \(0.168008\pi\)
−0.863911 + 0.503645i \(0.831992\pi\)
\(200\) 4.97398 0.509417i 0.351714 0.0360212i
\(201\) 10.3698 16.9307i 0.731430 1.19420i
\(202\) −11.1973 11.1973i −0.787836 0.787836i
\(203\) −23.2862 23.2862i −1.63437 1.63437i
\(204\) −2.46645 + 4.02697i −0.172686 + 0.281944i
\(205\) 6.61646 + 13.9193i 0.462114 + 0.972166i
\(206\) 15.0769i 1.05046i
\(207\) 9.51686 + 3.08737i 0.661468 + 0.214587i
\(208\) 0.576660 0.576660i 0.0399841 0.0399841i
\(209\) −11.4396 −0.791291
\(210\) 10.1764 + 12.5951i 0.702238 + 0.869143i
\(211\) 3.57614 0.246192 0.123096 0.992395i \(-0.460718\pi\)
0.123096 + 0.992395i \(0.460718\pi\)
\(212\) −3.78705 + 3.78705i −0.260095 + 0.260095i
\(213\) 1.36154 0.327210i 0.0932915 0.0224201i
\(214\) 13.2878i 0.908334i
\(215\) −7.96548 + 22.3991i −0.543241 + 1.52761i
\(216\) −0.404103 + 5.18042i −0.0274957 + 0.352483i
\(217\) 2.95632 + 2.95632i 0.200688 + 0.200688i
\(218\) −11.0832 11.0832i −0.750647 0.750647i
\(219\) −14.5801 8.93005i −0.985229 0.603437i
\(220\) −10.0903 + 4.79637i −0.680289 + 0.323371i
\(221\) 2.22344i 0.149565i
\(222\) 3.24550 + 13.5047i 0.217823 + 0.906379i
\(223\) 8.25222 8.25222i 0.552609 0.552609i −0.374584 0.927193i \(-0.622214\pi\)
0.927193 + 0.374584i \(0.122214\pi\)
\(224\) −4.18087 −0.279346
\(225\) −3.15092 + 14.6653i −0.210061 + 0.977688i
\(226\) −9.49866 −0.631842
\(227\) 3.91654 3.91654i 0.259950 0.259950i −0.565084 0.825034i \(-0.691156\pi\)
0.825034 + 0.565084i \(0.191156\pi\)
\(228\) −0.926650 3.85586i −0.0613689 0.255361i
\(229\) 4.19731i 0.277366i 0.990337 + 0.138683i \(0.0442869\pi\)
−0.990337 + 0.138683i \(0.955713\pi\)
\(230\) −6.73518 + 3.20153i −0.444105 + 0.211103i
\(231\) −30.8540 18.8975i −2.03004 1.24337i
\(232\) 5.56971 + 5.56971i 0.365669 + 0.365669i
\(233\) −21.2882 21.2882i −1.39464 1.39464i −0.814560 0.580079i \(-0.803022\pi\)
−0.580079 0.814560i \(-0.696978\pi\)
\(234\) 1.11172 + 2.17939i 0.0726754 + 0.142471i
\(235\) 4.66123 13.1075i 0.304065 0.855039i
\(236\) 8.23302i 0.535924i
\(237\) 10.1722 2.44461i 0.660756 0.158795i
\(238\) 8.06014 8.06014i 0.522461 0.522461i
\(239\) 8.28057 0.535625 0.267813 0.963471i \(-0.413699\pi\)
0.267813 + 0.963471i \(0.413699\pi\)
\(240\) −2.43404 3.01255i −0.157116 0.194459i
\(241\) −7.96980 −0.513380 −0.256690 0.966494i \(-0.582632\pi\)
−0.256690 + 0.966494i \(0.582632\pi\)
\(242\) 9.87398 9.87398i 0.634724 0.634724i
\(243\) −14.4087 5.94884i −0.924320 0.381618i
\(244\) 2.57501i 0.164848i
\(245\) −10.0602 21.1639i −0.642720 1.35211i
\(246\) 6.23521 10.1802i 0.397543 0.649067i
\(247\) −1.32030 1.32030i −0.0840087 0.0840087i
\(248\) −0.707107 0.707107i −0.0449013 0.0449013i
\(249\) 6.99776 11.4252i 0.443465 0.724044i
\(250\) −5.80364 9.55603i −0.367054 0.604377i
\(251\) 2.76165i 0.174314i 0.996195 + 0.0871568i \(0.0277781\pi\)
−0.996195 + 0.0871568i \(0.972222\pi\)
\(252\) 3.87038 11.9305i 0.243811 0.751552i
\(253\) 11.7826 11.7826i 0.740768 0.740768i
\(254\) 7.46947 0.468676
\(255\) 10.5003 + 1.11529i 0.657552 + 0.0698423i
\(256\) 1.00000 0.0625000
\(257\) −9.84769 + 9.84769i −0.614282 + 0.614282i −0.944059 0.329777i \(-0.893026\pi\)
0.329777 + 0.944059i \(0.393026\pi\)
\(258\) 17.9049 4.30296i 1.11471 0.267891i
\(259\) 33.5263i 2.08322i
\(260\) −1.71815 0.611001i −0.106555 0.0378927i
\(261\) −21.0498 + 10.7376i −1.30295 + 0.664642i
\(262\) 4.65120 + 4.65120i 0.287352 + 0.287352i
\(263\) 15.0377 + 15.0377i 0.927266 + 0.927266i 0.997529 0.0702629i \(-0.0223838\pi\)
−0.0702629 + 0.997529i \(0.522384\pi\)
\(264\) 7.37979 + 4.52000i 0.454195 + 0.278187i
\(265\) 11.2835 + 4.01258i 0.693138 + 0.246491i
\(266\) 9.57238i 0.586920i
\(267\) −5.28860 22.0062i −0.323657 1.34676i
\(268\) 8.10538 8.10538i 0.495115 0.495115i
\(269\) 1.89009 0.115241 0.0576205 0.998339i \(-0.481649\pi\)
0.0576205 + 0.998339i \(0.481649\pi\)
\(270\) 10.8499 4.15694i 0.660303 0.252983i
\(271\) −0.428031 −0.0260011 −0.0130005 0.999915i \(-0.504138\pi\)
−0.0130005 + 0.999915i \(0.504138\pi\)
\(272\) −1.92786 + 1.92786i −0.116894 + 0.116894i
\(273\) −1.37995 5.74208i −0.0835185 0.347527i
\(274\) 9.60844i 0.580467i
\(275\) 19.3727 + 15.7732i 1.16822 + 0.951161i
\(276\) 4.92594 + 3.01706i 0.296507 + 0.181605i
\(277\) −1.06863 1.06863i −0.0642080 0.0642080i 0.674274 0.738482i \(-0.264457\pi\)
−0.738482 + 0.674274i \(0.764457\pi\)
\(278\) 1.15688 + 1.15688i 0.0693853 + 0.0693853i
\(279\) 2.67239 1.36320i 0.159992 0.0816129i
\(280\) 4.01350 + 8.44335i 0.239853 + 0.504587i
\(281\) 4.19370i 0.250175i 0.992146 + 0.125088i \(0.0399212\pi\)
−0.992146 + 0.125088i \(0.960079\pi\)
\(282\) −10.4776 + 2.51800i −0.623931 + 0.149945i
\(283\) 20.3038 20.3038i 1.20694 1.20694i 0.234921 0.972015i \(-0.424517\pi\)
0.972015 0.234921i \(-0.0754831\pi\)
\(284\) 0.808470 0.0479739
\(285\) −6.89743 + 5.57289i −0.408569 + 0.330110i
\(286\) 4.07466 0.240939
\(287\) −20.3761 + 20.3761i −1.20276 + 1.20276i
\(288\) −0.925735 + 2.85360i −0.0545495 + 0.168150i
\(289\) 9.56670i 0.562747i
\(290\) 5.90140 16.5949i 0.346542 0.974485i
\(291\) 11.5162 18.8024i 0.675090 1.10222i
\(292\) −6.98002 6.98002i −0.408475 0.408475i
\(293\) −21.7801 21.7801i −1.27241 1.27241i −0.944820 0.327589i \(-0.893764\pi\)
−0.327589 0.944820i \(-0.606236\pi\)
\(294\) −9.48048 + 15.4787i −0.552913 + 0.902739i
\(295\) 16.6267 7.90343i 0.968047 0.460156i
\(296\) 8.01896i 0.466093i
\(297\) −19.7300 + 16.8746i −1.14485 + 0.979165i
\(298\) −9.05537 + 9.05537i −0.524564 + 0.524564i
\(299\) 2.71979 0.157290
\(300\) −3.74731 + 7.80754i −0.216351 + 0.450769i
\(301\) −44.4500 −2.56205
\(302\) −2.86356 + 2.86356i −0.164779 + 0.164779i
\(303\) 26.6683 6.40898i 1.53205 0.368187i
\(304\) 2.28957i 0.131316i
\(305\) −5.20029 + 2.47193i −0.297767 + 0.141542i
\(306\) −3.71665 7.28603i −0.212467 0.416515i
\(307\) −1.13245 1.13245i −0.0646323 0.0646323i 0.674052 0.738684i \(-0.264552\pi\)
−0.738684 + 0.674052i \(0.764552\pi\)
\(308\) −14.7709 14.7709i −0.841652 0.841652i
\(309\) 22.2689 + 13.6394i 1.26684 + 0.775916i
\(310\) −0.749217 + 2.10682i −0.0425527 + 0.119659i
\(311\) 10.7037i 0.606949i −0.952840 0.303475i \(-0.901853\pi\)
0.952840 0.303475i \(-0.0981467\pi\)
\(312\) 0.330063 + 1.37342i 0.0186862 + 0.0777545i
\(313\) −10.1742 + 10.1742i −0.575077 + 0.575077i −0.933543 0.358466i \(-0.883300\pi\)
0.358466 + 0.933543i \(0.383300\pi\)
\(314\) 22.5535 1.27277
\(315\) −27.8094 + 3.63660i −1.56688 + 0.204899i
\(316\) 6.04015 0.339785
\(317\) −4.80017 + 4.80017i −0.269604 + 0.269604i −0.828941 0.559336i \(-0.811056\pi\)
0.559336 + 0.828941i \(0.311056\pi\)
\(318\) −2.16760 9.01953i −0.121553 0.505790i
\(319\) 39.3553i 2.20348i
\(320\) −0.959968 2.01952i −0.0536638 0.112895i
\(321\) 19.6264 + 12.0208i 1.09544 + 0.670938i
\(322\) −9.85946 9.85946i −0.549446 0.549446i
\(323\) 4.41397 + 4.41397i 0.245600 + 0.245600i
\(324\) −7.28603 5.28335i −0.404779 0.293519i
\(325\) 0.415440 + 4.05638i 0.0230444 + 0.225007i
\(326\) 10.4632i 0.579500i
\(327\) 26.3966 6.34369i 1.45973 0.350807i
\(328\) 4.87365 4.87365i 0.269102 0.269102i
\(329\) 26.0112 1.43404
\(330\) 2.04387 19.2427i 0.112512 1.05928i
\(331\) −2.51109 −0.138022 −0.0690111 0.997616i \(-0.521984\pi\)
−0.0690111 + 0.997616i \(0.521984\pi\)
\(332\) 5.46968 5.46968i 0.300188 0.300188i
\(333\) −22.8829 7.42344i −1.25397 0.406802i
\(334\) 3.72882i 0.204032i
\(335\) −24.1499 8.58808i −1.31945 0.469217i
\(336\) 3.78224 6.17525i 0.206338 0.336887i
\(337\) 1.40334 + 1.40334i 0.0764449 + 0.0764449i 0.744295 0.667851i \(-0.232785\pi\)
−0.667851 + 0.744295i \(0.732785\pi\)
\(338\) −8.72211 8.72211i −0.474420 0.474420i
\(339\) 8.59300 14.0298i 0.466708 0.761992i
\(340\) 5.74404 + 2.04267i 0.311514 + 0.110779i
\(341\) 4.99639i 0.270570i
\(342\) 6.53350 + 2.11953i 0.353291 + 0.114611i
\(343\) 10.2871 10.2871i 0.555449 0.555449i
\(344\) 10.6317 0.573225
\(345\) 1.36427 12.8443i 0.0734496 0.691514i
\(346\) −17.2220 −0.925862
\(347\) −3.40897 + 3.40897i −0.183003 + 0.183003i −0.792663 0.609660i \(-0.791306\pi\)
0.609660 + 0.792663i \(0.291306\pi\)
\(348\) −13.2652 + 3.18794i −0.711092 + 0.170891i
\(349\) 7.29774i 0.390639i −0.980740 0.195320i \(-0.937426\pi\)
0.980740 0.195320i \(-0.0625744\pi\)
\(350\) 13.1987 16.2107i 0.705500 0.866498i
\(351\) −4.22473 0.329554i −0.225499 0.0175903i
\(352\) 3.53298 + 3.53298i 0.188309 + 0.188309i
\(353\) 9.35024 + 9.35024i 0.497663 + 0.497663i 0.910710 0.413047i \(-0.135535\pi\)
−0.413047 + 0.910710i \(0.635535\pi\)
\(354\) −12.1604 7.44803i −0.646316 0.395858i
\(355\) −0.776105 1.63272i −0.0411914 0.0866558i
\(356\) 13.0671i 0.692553i
\(357\) 4.61339 + 19.1967i 0.244167 + 1.01599i
\(358\) −12.0611 + 12.0611i −0.637448 + 0.637448i
\(359\) 18.8780 0.996341 0.498170 0.867079i \(-0.334005\pi\)
0.498170 + 0.867079i \(0.334005\pi\)
\(360\) 6.65157 0.869819i 0.350569 0.0458435i
\(361\) 13.7579 0.724099
\(362\) 9.74973 9.74973i 0.512434 0.512434i
\(363\) 5.65158 + 23.5166i 0.296631 + 1.23430i
\(364\) 3.40958i 0.178711i
\(365\) −7.39569 + 20.7969i −0.387108 + 1.08856i
\(366\) 3.80335 + 2.32949i 0.198804 + 0.121765i
\(367\) −1.50038 1.50038i −0.0783192 0.0783192i 0.666862 0.745181i \(-0.267637\pi\)
−0.745181 + 0.666862i \(0.767637\pi\)
\(368\) 2.35823 + 2.35823i 0.122931 + 0.122931i
\(369\) 9.39571 + 18.4191i 0.489121 + 0.958862i
\(370\) 16.1945 7.69795i 0.841910 0.400197i
\(371\) 22.3915i 1.16251i
\(372\) 1.68410 0.404727i 0.0873166 0.0209841i
\(373\) −0.674075 + 0.674075i −0.0349023 + 0.0349023i −0.724343 0.689440i \(-0.757857\pi\)
0.689440 + 0.724343i \(0.257857\pi\)
\(374\) −13.6222 −0.704387
\(375\) 19.3648 + 0.0727794i 0.999993 + 0.00375831i
\(376\) −6.22147 −0.320848
\(377\) −4.54221 + 4.54221i −0.233935 + 0.233935i
\(378\) 14.1203 + 16.5096i 0.726271 + 0.849164i
\(379\) 5.42438i 0.278631i 0.990248 + 0.139316i \(0.0444903\pi\)
−0.990248 + 0.139316i \(0.955510\pi\)
\(380\) −4.62383 + 2.19791i −0.237197 + 0.112750i
\(381\) −6.75728 + 11.0326i −0.346186 + 0.565217i
\(382\) 14.8104 + 14.8104i 0.757765 + 0.757765i
\(383\) −5.48189 5.48189i −0.280112 0.280112i 0.553042 0.833153i \(-0.313467\pi\)
−0.833153 + 0.553042i \(0.813467\pi\)
\(384\) −0.904654 + 1.47702i −0.0461654 + 0.0753741i
\(385\) −15.6506 + 44.0098i −0.797628 + 2.24295i
\(386\) 12.2761i 0.624839i
\(387\) −9.84219 + 30.3387i −0.500306 + 1.54220i
\(388\) 9.00142 9.00142i 0.456978 0.456978i
\(389\) 32.9134 1.66877 0.834387 0.551179i \(-0.185822\pi\)
0.834387 + 0.551179i \(0.185822\pi\)
\(390\) 2.45679 1.98501i 0.124405 0.100515i
\(391\) −9.09268 −0.459837
\(392\) −7.41025 + 7.41025i −0.374274 + 0.374274i
\(393\) −11.0777 + 2.66222i −0.558795 + 0.134291i
\(394\) 15.3323i 0.772428i
\(395\) −5.79835 12.1982i −0.291746 0.613758i
\(396\) −13.3523 + 6.81110i −0.670979 + 0.342271i
\(397\) −8.17263 8.17263i −0.410173 0.410173i 0.471626 0.881799i \(-0.343667\pi\)
−0.881799 + 0.471626i \(0.843667\pi\)
\(398\) −10.0477 10.0477i −0.503645 0.503645i
\(399\) −14.1386 8.65969i −0.707817 0.433527i
\(400\) −3.15692 + 3.87735i −0.157846 + 0.193867i
\(401\) 18.6503i 0.931350i 0.884956 + 0.465675i \(0.154188\pi\)
−0.884956 + 0.465675i \(0.845812\pi\)
\(402\) 4.63929 + 19.3044i 0.231387 + 0.962816i
\(403\) 0.576660 0.576660i 0.0287255 0.0287255i
\(404\) 15.8353 0.787836
\(405\) −3.67548 + 19.7861i −0.182636 + 0.983181i
\(406\) 32.9317 1.63437
\(407\) −28.3309 + 28.3309i −1.40431 + 1.40431i
\(408\) −1.10345 4.59155i −0.0546290 0.227315i
\(409\) 31.5379i 1.55945i 0.626123 + 0.779725i \(0.284641\pi\)
−0.626123 + 0.779725i \(0.715359\pi\)
\(410\) −14.5210 5.16388i −0.717140 0.255026i
\(411\) −14.1919 8.69231i −0.700035 0.428760i
\(412\) 10.6610 + 10.6610i 0.525228 + 0.525228i
\(413\) 24.3395 + 24.3395i 1.19767 + 1.19767i
\(414\) −8.91253 + 4.54634i −0.438027 + 0.223440i
\(415\) −16.2968 5.79541i −0.799981 0.284486i
\(416\) 0.815520i 0.0399841i
\(417\) −2.75532 + 0.662167i −0.134929 + 0.0324264i
\(418\) 8.08900 8.08900i 0.395646 0.395646i
\(419\) −2.11671 −0.103408 −0.0517040 0.998662i \(-0.516465\pi\)
−0.0517040 + 0.998662i \(0.516465\pi\)
\(420\) −16.1019 1.71027i −0.785691 0.0834526i
\(421\) −10.2753 −0.500788 −0.250394 0.968144i \(-0.580560\pi\)
−0.250394 + 0.968144i \(0.580560\pi\)
\(422\) −2.52871 + 2.52871i −0.123096 + 0.123096i
\(423\) 5.75944 17.7536i 0.280033 0.863208i
\(424\) 5.35569i 0.260095i
\(425\) −1.38888 13.5611i −0.0673705 0.657810i
\(426\) −0.731385 + 1.19413i −0.0354357 + 0.0578558i
\(427\) −7.61256 7.61256i −0.368398 0.368398i
\(428\) 9.39588 + 9.39588i 0.454167 + 0.454167i
\(429\) −3.68615 + 6.01837i −0.177969 + 0.290569i
\(430\) −10.2061 21.4710i −0.492184 1.03543i
\(431\) 8.73526i 0.420763i 0.977619 + 0.210381i \(0.0674706\pi\)
−0.977619 + 0.210381i \(0.932529\pi\)
\(432\) −3.37736 3.94885i −0.162493 0.189989i
\(433\) 13.6650 13.6650i 0.656696 0.656696i −0.297901 0.954597i \(-0.596286\pi\)
0.954597 + 0.297901i \(0.0962864\pi\)
\(434\) −4.18087 −0.200688
\(435\) 19.1723 + 23.7291i 0.919242 + 1.13772i
\(436\) 15.6740 0.750647
\(437\) 5.39932 5.39932i 0.258285 0.258285i
\(438\) 16.6242 3.99516i 0.794333 0.190896i
\(439\) 25.3349i 1.20917i −0.796541 0.604584i \(-0.793339\pi\)
0.796541 0.604584i \(-0.206661\pi\)
\(440\) 3.74338 10.5265i 0.178459 0.501830i
\(441\) −14.2859 28.0058i −0.680283 1.33361i
\(442\) −1.57221 1.57221i −0.0747824 0.0747824i
\(443\) 15.2217 + 15.2217i 0.723207 + 0.723207i 0.969257 0.246050i \(-0.0791329\pi\)
−0.246050 + 0.969257i \(0.579133\pi\)
\(444\) −11.8442 7.25438i −0.562101 0.344278i
\(445\) −26.3892 + 12.5440i −1.25097 + 0.594640i
\(446\) 11.6704i 0.552609i
\(447\) −5.18303 21.5670i −0.245149 1.02008i
\(448\) 2.95632 2.95632i 0.139673 0.139673i
\(449\) 37.0053 1.74639 0.873195 0.487371i \(-0.162044\pi\)
0.873195 + 0.487371i \(0.162044\pi\)
\(450\) −8.14191 12.5980i −0.383813 0.593875i
\(451\) 34.4370 1.62158
\(452\) 6.71657 6.71657i 0.315921 0.315921i
\(453\) −1.63902 6.82007i −0.0770077 0.320435i
\(454\) 5.53883i 0.259950i
\(455\) −6.88572 + 3.27309i −0.322808 + 0.153445i
\(456\) 3.38175 + 2.07126i 0.158365 + 0.0969958i
\(457\) 27.8953 + 27.8953i 1.30488 + 1.30488i 0.925057 + 0.379827i \(0.124017\pi\)
0.379827 + 0.925057i \(0.375983\pi\)
\(458\) −2.96795 2.96795i −0.138683 0.138683i
\(459\) 14.1239 + 1.10175i 0.659248 + 0.0514252i
\(460\) 2.49867 7.02632i 0.116501 0.327604i
\(461\) 29.3150i 1.36534i 0.730729 + 0.682668i \(0.239180\pi\)
−0.730729 + 0.682668i \(0.760820\pi\)
\(462\) 35.1796 8.45446i 1.63670 0.393337i
\(463\) −9.85332 + 9.85332i −0.457922 + 0.457922i −0.897973 0.440051i \(-0.854961\pi\)
0.440051 + 0.897973i \(0.354961\pi\)
\(464\) −7.87675 −0.365669
\(465\) −2.43404 3.01255i −0.112876 0.139704i
\(466\) 30.1061 1.39464
\(467\) −1.63018 + 1.63018i −0.0754357 + 0.0754357i −0.743818 0.668382i \(-0.766987\pi\)
0.668382 + 0.743818i \(0.266987\pi\)
\(468\) −2.32716 0.754955i −0.107573 0.0348978i
\(469\) 47.9242i 2.21294i
\(470\) 5.97241 + 12.5644i 0.275487 + 0.579552i
\(471\) −20.4031 + 33.3121i −0.940126 + 1.53494i
\(472\) −5.82162 5.82162i −0.267962 0.267962i
\(473\) 37.5618 + 37.5618i 1.72709 + 1.72709i
\(474\) −5.46424 + 8.92145i −0.250981 + 0.409776i
\(475\) 8.87745 + 7.22799i 0.407325 + 0.331643i
\(476\) 11.3988i 0.522461i
\(477\) 15.2830 + 4.95796i 0.699760 + 0.227009i
\(478\) −5.85525 + 5.85525i −0.267813 + 0.267813i
\(479\) −18.6347 −0.851442 −0.425721 0.904854i \(-0.639980\pi\)
−0.425721 + 0.904854i \(0.639980\pi\)
\(480\) 3.85132 + 0.409070i 0.175788 + 0.0186714i
\(481\) −6.53962 −0.298181
\(482\) 5.63550 5.63550i 0.256690 0.256690i
\(483\) 23.4820 5.64327i 1.06847 0.256778i
\(484\) 13.9639i 0.634724i
\(485\) −26.8196 9.53747i −1.21782 0.433074i
\(486\) 14.3950 5.98204i 0.652969 0.271351i
\(487\) −16.5699 16.5699i −0.750852 0.750852i 0.223786 0.974638i \(-0.428158\pi\)
−0.974638 + 0.223786i \(0.928158\pi\)
\(488\) 1.82081 + 1.82081i 0.0824241 + 0.0824241i
\(489\) 15.4543 + 9.46553i 0.698869 + 0.428046i
\(490\) 22.0788 + 7.85155i 0.997417 + 0.354697i
\(491\) 5.39841i 0.243627i −0.992553 0.121814i \(-0.961129\pi\)
0.992553 0.121814i \(-0.0388710\pi\)
\(492\) 2.78953 + 11.6075i 0.125762 + 0.523305i
\(493\) 15.1853 15.1853i 0.683911 0.683911i
\(494\) 1.86719 0.0840087
\(495\) 26.5729 + 20.4268i 1.19436 + 0.918118i
\(496\) 1.00000 0.0449013
\(497\) 2.39010 2.39010i 0.107211 0.107211i
\(498\) 3.13069 + 13.0270i 0.140289 + 0.583754i
\(499\) 30.3229i 1.35744i −0.734398 0.678719i \(-0.762535\pi\)
0.734398 0.678719i \(-0.237465\pi\)
\(500\) 10.8609 + 2.65334i 0.485716 + 0.118661i
\(501\) 5.50757 + 3.37329i 0.246060 + 0.150708i
\(502\) −1.95278 1.95278i −0.0871568 0.0871568i
\(503\) 5.28566 + 5.28566i 0.235676 + 0.235676i 0.815057 0.579381i \(-0.196706\pi\)
−0.579381 + 0.815057i \(0.696706\pi\)
\(504\) 5.69938 + 11.1729i 0.253871 + 0.497682i
\(505\) −15.2014 31.9797i −0.676453 1.42308i
\(506\) 16.6632i 0.740768i
\(507\) 20.7733 4.99228i 0.922573 0.221715i
\(508\) −5.28171 + 5.28171i −0.234338 + 0.234338i
\(509\) −8.19904 −0.363416 −0.181708 0.983353i \(-0.558163\pi\)
−0.181708 + 0.983353i \(0.558163\pi\)
\(510\) −8.21344 + 6.63618i −0.363697 + 0.293855i
\(511\) −41.2704 −1.82569
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −9.04115 + 7.73270i −0.399177 + 0.341407i
\(514\) 13.9267i 0.614282i
\(515\) 11.2959 31.7642i 0.497755 1.39970i
\(516\) −9.61805 + 15.7034i −0.423411 + 0.691302i
\(517\) −21.9803 21.9803i −0.966694 0.966694i
\(518\) 23.7066 + 23.7066i 1.04161 + 1.04161i
\(519\) 15.5800 25.4374i 0.683885 1.11658i
\(520\) 1.64696 0.782873i 0.0722239 0.0343312i
\(521\) 37.7000i 1.65167i 0.563914 + 0.825834i \(0.309295\pi\)
−0.563914 + 0.825834i \(0.690705\pi\)
\(522\) 7.29179 22.4771i 0.319153 0.983795i
\(523\) −5.19328 + 5.19328i −0.227086 + 0.227086i −0.811474 0.584388i \(-0.801335\pi\)
0.584388 + 0.811474i \(0.301335\pi\)
\(524\) −6.57780 −0.287352
\(525\) 12.0034 + 34.1599i 0.523869 + 1.49086i
\(526\) −21.2665 −0.927266
\(527\) −1.92786 + 1.92786i −0.0839790 + 0.0839790i
\(528\) −8.41443 + 2.02218i −0.366191 + 0.0880039i
\(529\) 11.8775i 0.516413i
\(530\) −10.8159 + 5.14129i −0.469814 + 0.223324i
\(531\) 22.0018 11.2233i 0.954799 0.487049i
\(532\) −6.76869 6.76869i −0.293460 0.293460i
\(533\) 3.97455 + 3.97455i 0.172157 + 0.172157i
\(534\) 19.3004 + 11.8212i 0.835208 + 0.511552i
\(535\) 9.95543 27.9949i 0.430411 1.21033i
\(536\) 11.4627i 0.495115i
\(537\) −6.90342 28.7256i −0.297905 1.23960i
\(538\) −1.33650 + 1.33650i −0.0576205 + 0.0576205i
\(539\) −52.3606 −2.25533
\(540\) −4.73262 + 10.6114i −0.203660 + 0.456643i
\(541\) −3.17281 −0.136410 −0.0682048 0.997671i \(-0.521727\pi\)
−0.0682048 + 0.997671i \(0.521727\pi\)
\(542\) 0.302664 0.302664i 0.0130005 0.0130005i
\(543\) 5.58046 + 23.2207i 0.239481 + 0.996496i
\(544\) 2.72641i 0.116894i
\(545\) −15.0465 31.6539i −0.644522 1.35590i
\(546\) 5.03604 + 3.08449i 0.215523 + 0.132004i
\(547\) 15.3100 + 15.3100i 0.654610 + 0.654610i 0.954100 0.299489i \(-0.0968164\pi\)
−0.299489 + 0.954100i \(0.596816\pi\)
\(548\) −6.79419 6.79419i −0.290233 0.290233i
\(549\) −6.88144 + 3.51026i −0.293693 + 0.149814i
\(550\) −24.8520 + 2.54525i −1.05969 + 0.108530i
\(551\) 18.0344i 0.768289i
\(552\) −5.61655 + 1.34978i −0.239056 + 0.0574506i
\(553\) 17.8566 17.8566i 0.759341 0.759341i
\(554\) 1.51128 0.0642080
\(555\) −3.28032 + 30.8836i −0.139242 + 1.31094i
\(556\) −1.63608 −0.0693853
\(557\) 27.0364 27.0364i 1.14557 1.14557i 0.158153 0.987415i \(-0.449446\pi\)
0.987415 0.158153i \(-0.0505538\pi\)
\(558\) −0.925735 + 2.85360i −0.0391895 + 0.120802i
\(559\) 8.67040i 0.366719i
\(560\) −8.80833 3.13238i −0.372220 0.132367i
\(561\) 12.3234 20.1203i 0.520293 0.849481i
\(562\) −2.96539 2.96539i −0.125088 0.125088i
\(563\) 20.1083 + 20.1083i 0.847464 + 0.847464i 0.989816 0.142352i \(-0.0454665\pi\)
−0.142352 + 0.989816i \(0.545466\pi\)
\(564\) 5.62828 9.18927i 0.236993 0.386938i
\(565\) −20.0119 7.11656i −0.841909 0.299396i
\(566\) 28.7139i 1.20694i
\(567\) −37.1591 + 5.92056i −1.56054 + 0.248640i
\(568\) −0.571674 + 0.571674i −0.0239869 + 0.0239869i
\(569\) 15.4858 0.649199 0.324600 0.945851i \(-0.394770\pi\)
0.324600 + 0.945851i \(0.394770\pi\)
\(570\) 0.936593 8.81785i 0.0392296 0.369339i
\(571\) −4.91936 −0.205869 −0.102934 0.994688i \(-0.532823\pi\)
−0.102934 + 0.994688i \(0.532823\pi\)
\(572\) −2.88122 + 2.88122i −0.120470 + 0.120470i
\(573\) −35.2736 + 8.47703i −1.47357 + 0.354133i
\(574\) 28.8161i 1.20276i
\(575\) −16.5884 + 1.69893i −0.691785 + 0.0708502i
\(576\) −1.36320 2.67239i −0.0568002 0.111350i
\(577\) 26.8827 + 26.8827i 1.11914 + 1.11914i 0.991868 + 0.127272i \(0.0406222\pi\)
0.127272 + 0.991868i \(0.459378\pi\)
\(578\) −6.76468 6.76468i −0.281374 0.281374i
\(579\) −18.1322 11.1057i −0.753547 0.461535i
\(580\) 7.56143 + 15.9073i 0.313971 + 0.660513i
\(581\) 32.3403i 1.34170i
\(582\) 5.15215 + 21.4385i 0.213564 + 0.888653i
\(583\) 18.9216 18.9216i 0.783651 0.783651i
\(584\) 9.87123 0.408475
\(585\) 0.709355 + 5.42449i 0.0293282 + 0.224275i
\(586\) 30.8018 1.27241
\(587\) −6.99920 + 6.99920i −0.288888 + 0.288888i −0.836640 0.547753i \(-0.815484\pi\)
0.547753 + 0.836640i \(0.315484\pi\)
\(588\) −4.24141 17.6488i −0.174913 0.727826i
\(589\) 2.28957i 0.0943399i
\(590\) −6.16831 + 17.3455i −0.253946 + 0.714101i
\(591\) −22.6461 13.8704i −0.931537 0.570551i
\(592\) −5.67026 5.67026i −0.233046 0.233046i
\(593\) −6.70624 6.70624i −0.275392 0.275392i 0.555874 0.831266i \(-0.312384\pi\)
−0.831266 + 0.555874i \(0.812384\pi\)
\(594\) 2.01905 25.8834i 0.0828428 1.06201i
\(595\) 23.0200 10.9424i 0.943729 0.448596i
\(596\) 12.8062i 0.524564i
\(597\) 23.9304 5.75101i 0.979405 0.235373i
\(598\) −1.92318 + 1.92318i −0.0786448 + 0.0786448i
\(599\) −22.2127 −0.907586 −0.453793 0.891107i \(-0.649929\pi\)
−0.453793 + 0.891107i \(0.649929\pi\)
\(600\) −2.87102 8.17051i −0.117209 0.333560i
\(601\) 3.14003 0.128084 0.0640422 0.997947i \(-0.479601\pi\)
0.0640422 + 0.997947i \(0.479601\pi\)
\(602\) 31.4309 31.4309i 1.28103 1.28103i
\(603\) −32.7100 10.6115i −1.33206 0.432132i
\(604\) 4.04968i 0.164779i
\(605\) 28.2004 13.4049i 1.14651 0.544987i
\(606\) −14.3255 + 23.3891i −0.581932 + 0.950119i
\(607\) −0.107997 0.107997i −0.00438348 0.00438348i 0.704912 0.709295i \(-0.250987\pi\)
−0.709295 + 0.704912i \(0.750987\pi\)
\(608\) 1.61897 + 1.61897i 0.0656578 + 0.0656578i
\(609\) −29.7918 + 48.6409i −1.20722 + 1.97103i
\(610\) 1.92924 5.42507i 0.0781127 0.219655i
\(611\) 5.07373i 0.205261i
\(612\) 7.78007 + 2.52393i 0.314491 + 0.102024i
\(613\) 1.98258 1.98258i 0.0800755 0.0800755i −0.665935 0.746010i \(-0.731967\pi\)
0.746010 + 0.665935i \(0.231967\pi\)
\(614\) 1.60152 0.0646323
\(615\) 20.7636 16.7763i 0.837270 0.676486i
\(616\) 20.8893 0.841652
\(617\) −3.76135 + 3.76135i −0.151426 + 0.151426i −0.778755 0.627329i \(-0.784148\pi\)
0.627329 + 0.778755i \(0.284148\pi\)
\(618\) −25.3910 + 6.10203i −1.02138 + 0.245460i
\(619\) 31.0020i 1.24608i −0.782191 0.623038i \(-0.785898\pi\)
0.782191 0.623038i \(-0.214102\pi\)
\(620\) −0.959968 2.01952i −0.0385532 0.0811059i
\(621\) 1.34770 17.2769i 0.0540813 0.693298i
\(622\) 7.56863 + 7.56863i 0.303475 + 0.303475i
\(623\) −38.6304 38.6304i −1.54770 1.54770i
\(624\) −1.20454 0.737763i −0.0482203 0.0295342i
\(625\) −5.06766 24.4810i −0.202707 0.979240i
\(626\) 14.3884i 0.575077i
\(627\) 4.62991 + 19.2654i 0.184901 + 0.769385i
\(628\) −15.9477 + 15.9477i −0.636384 + 0.636384i
\(629\) 21.8630 0.871734
\(630\) 17.0927 22.2357i 0.680990 0.885890i
\(631\) 33.0603 1.31611 0.658055 0.752970i \(-0.271379\pi\)
0.658055 + 0.752970i \(0.271379\pi\)
\(632\) −4.27103 + 4.27103i −0.169892 + 0.169892i
\(633\) −1.44736 6.02258i −0.0575275 0.239376i
\(634\) 6.78847i 0.269604i
\(635\) 15.7368 + 5.59625i 0.624496 + 0.222080i
\(636\) 7.91049 + 4.84505i 0.313671 + 0.192119i
\(637\) −6.04321 6.04321i −0.239441 0.239441i
\(638\) −27.8284 27.8284i −1.10174 1.10174i
\(639\) −1.10211 2.16055i −0.0435988 0.0854699i
\(640\) 2.10682 + 0.749217i 0.0832792 + 0.0296154i
\(641\) 7.32059i 0.289146i −0.989494 0.144573i \(-0.953819\pi\)
0.989494 0.144573i \(-0.0461808\pi\)
\(642\) −22.3780 + 5.37793i −0.883188 + 0.212250i
\(643\) −13.0557 + 13.0557i −0.514867 + 0.514867i −0.916014 0.401147i \(-0.868612\pi\)
0.401147 + 0.916014i \(0.368612\pi\)
\(644\) 13.9434 0.549446
\(645\) 40.9463 + 4.34913i 1.61226 + 0.171247i
\(646\) −6.24229 −0.245600
\(647\) −28.1848 + 28.1848i −1.10806 + 1.10806i −0.114651 + 0.993406i \(0.536575\pi\)
−0.993406 + 0.114651i \(0.963425\pi\)
\(648\) 8.88789 1.41611i 0.349149 0.0556299i
\(649\) 41.1354i 1.61470i
\(650\) −3.16205 2.57453i −0.124026 0.100982i
\(651\) 3.78224 6.17525i 0.148238 0.242027i
\(652\) 7.39856 + 7.39856i 0.289750 + 0.289750i
\(653\) −31.2557 31.2557i −1.22313 1.22313i −0.966513 0.256617i \(-0.917392\pi\)
−0.256617 0.966513i \(-0.582608\pi\)
\(654\) −14.1795 + 23.1508i −0.554463 + 0.905270i
\(655\) 6.31447 + 13.2840i 0.246727 + 0.519049i
\(656\) 6.89238i 0.269102i
\(657\) −9.13815 + 28.1685i −0.356513 + 1.09896i
\(658\) −18.3927 + 18.3927i −0.717021 + 0.717021i
\(659\) 2.80641 0.109322 0.0546611 0.998505i \(-0.482592\pi\)
0.0546611 + 0.998505i \(0.482592\pi\)
\(660\) 12.1614 + 15.0519i 0.473382 + 0.585894i
\(661\) 45.6312 1.77485 0.887423 0.460955i \(-0.152493\pi\)
0.887423 + 0.460955i \(0.152493\pi\)
\(662\) 1.77561 1.77561i 0.0690111 0.0690111i
\(663\) 3.74450 0.899887i 0.145424 0.0349487i
\(664\) 7.73529i 0.300188i
\(665\) −7.17179 + 20.1672i −0.278110 + 0.782052i
\(666\) 21.4298 10.9315i 0.830388 0.423586i
\(667\) −18.5752 18.5752i −0.719235 0.719235i
\(668\) 2.63668 + 2.63668i 0.102016 + 0.102016i
\(669\) −17.2375 10.5577i −0.666439 0.408183i
\(670\) 23.1492 11.0039i 0.894333 0.425116i
\(671\) 12.8658i 0.496677i
\(672\) 1.69211 + 7.04101i 0.0652747 + 0.271613i
\(673\) −29.8688 + 29.8688i −1.15136 + 1.15136i −0.165076 + 0.986281i \(0.552787\pi\)
−0.986281 + 0.165076i \(0.947213\pi\)
\(674\) −1.98462 −0.0764449
\(675\) 25.9731 0.628993i 0.999707 0.0242099i
\(676\) 12.3349 0.474420
\(677\) −14.3828 + 14.3828i −0.552775 + 0.552775i −0.927241 0.374466i \(-0.877826\pi\)
0.374466 + 0.927241i \(0.377826\pi\)
\(678\) 3.84437 + 15.9967i 0.147642 + 0.614350i
\(679\) 53.2222i 2.04248i
\(680\) −5.50604 + 2.61726i −0.211147 + 0.100367i
\(681\) −8.18099 5.01072i −0.313496 0.192011i
\(682\) 3.53298 + 3.53298i 0.135285 + 0.135285i
\(683\) 3.20982 + 3.20982i 0.122820 + 0.122820i 0.765845 0.643025i \(-0.222321\pi\)
−0.643025 + 0.765845i \(0.722321\pi\)
\(684\) −6.11862 + 3.12115i −0.233951 + 0.119340i
\(685\) −7.19880 + 20.2432i −0.275052 + 0.773453i
\(686\) 14.5481i 0.555449i
\(687\) 7.06870 1.69877i 0.269688 0.0648120i
\(688\) −7.51778 + 7.51778i −0.286613 + 0.286613i
\(689\) 4.36767 0.166395
\(690\) 8.11762 + 10.0470i 0.309032 + 0.382482i
\(691\) 25.4174 0.966922 0.483461 0.875366i \(-0.339379\pi\)
0.483461 + 0.875366i \(0.339379\pi\)
\(692\) 12.1778 12.1778i 0.462931 0.462931i
\(693\) −19.3379 + 59.6095i −0.734587 + 2.26438i
\(694\) 4.82101i 0.183003i
\(695\) 1.57058 + 3.30410i 0.0595757 + 0.125332i
\(696\) 7.12573 11.6342i 0.270100 0.440992i
\(697\) −13.2875 13.2875i −0.503302 0.503302i
\(698\) 5.16028 + 5.16028i 0.195320 + 0.195320i
\(699\) −27.2356 + 44.4675i −1.03015 + 1.68191i
\(700\) 2.12981 + 20.7956i 0.0804991 + 0.785999i
\(701\) 8.72209i 0.329429i −0.986341 0.164714i \(-0.947330\pi\)
0.986341 0.164714i \(-0.0526702\pi\)
\(702\) 3.22037 2.75431i 0.121545 0.103955i
\(703\) −12.9824 + 12.9824i −0.489642 + 0.489642i
\(704\) −4.99639 −0.188309
\(705\) −23.9609 2.54502i −0.902419 0.0958509i
\(706\) −13.2232 −0.497663
\(707\) 46.8143 46.8143i 1.76063 1.76063i
\(708\) 13.8652 3.33213i 0.521087 0.125229i
\(709\) 0.835634i 0.0313829i 0.999877 + 0.0156915i \(0.00499495\pi\)
−0.999877 + 0.0156915i \(0.995005\pi\)
\(710\) 1.70330 + 0.605719i 0.0639236 + 0.0227322i
\(711\) −8.23395 16.1416i −0.308797 0.605359i
\(712\) 9.23980 + 9.23980i 0.346276 + 0.346276i
\(713\) 2.35823 + 2.35823i 0.0883164 + 0.0883164i
\(714\) −16.8362 10.3119i −0.630081 0.385914i
\(715\) 8.58455 + 3.05280i 0.321044 + 0.114168i
\(716\) 17.0570i 0.637448i
\(717\) −3.35137 13.9453i −0.125159 0.520797i
\(718\) −13.3487 + 13.3487i −0.498170 + 0.498170i
\(719\) 48.0542 1.79212 0.896060 0.443933i \(-0.146417\pi\)
0.896060 + 0.443933i \(0.146417\pi\)
\(720\) −4.08832 + 5.31843i −0.152363 + 0.198206i
\(721\) 63.0345 2.34753
\(722\) −9.72829 + 9.72829i −0.362050 + 0.362050i
\(723\) 3.22560 + 13.4219i 0.119961 + 0.499167i
\(724\) 13.7882i 0.512434i
\(725\) 24.8663 30.5409i 0.923512 1.13426i
\(726\) −20.6251 12.6325i −0.765467 0.468836i
\(727\) −37.9208 37.9208i −1.40641 1.40641i −0.777405 0.629001i \(-0.783464\pi\)
−0.629001 0.777405i \(-0.716536\pi\)
\(728\) 2.41094 + 2.41094i 0.0893553 + 0.0893553i
\(729\) −4.18684 + 26.6734i −0.155068 + 0.987904i
\(730\) −9.47607 19.9352i −0.350725 0.737833i
\(731\) 28.9865i 1.07210i
\(732\) −4.33658 + 1.04218i −0.160285 + 0.0385200i
\(733\) −4.28209 + 4.28209i −0.158162 + 0.158162i −0.781752 0.623589i \(-0.785674\pi\)
0.623589 + 0.781752i \(0.285674\pi\)
\(734\) 2.12186 0.0783192
\(735\) −31.5706 + 25.5079i −1.16450 + 0.940874i
\(736\) −3.33504 −0.122931
\(737\) −40.4976 + 40.4976i −1.49175 + 1.49175i
\(738\) −19.6681 6.38052i −0.723991 0.234870i
\(739\) 53.9288i 1.98380i 0.127010 + 0.991901i \(0.459462\pi\)
−0.127010 + 0.991901i \(0.540538\pi\)
\(740\) −6.00794 + 16.8945i −0.220856 + 0.621054i
\(741\) −1.68916 + 2.75788i −0.0620527 + 0.101313i
\(742\) −15.8332 15.8332i −0.581253 0.581253i
\(743\) −2.06424 2.06424i −0.0757295 0.0757295i 0.668227 0.743957i \(-0.267053\pi\)
−0.743957 + 0.668227i \(0.767053\pi\)
\(744\) −0.904654 + 1.47702i −0.0331662 + 0.0541504i
\(745\) −25.8624 + 12.2936i −0.947527 + 0.450401i
\(746\) 0.953286i 0.0349023i
\(747\) −22.0734 7.16084i −0.807624 0.262001i
\(748\) 9.63235 9.63235i 0.352194 0.352194i
\(749\) 55.5545 2.02992
\(750\) −13.7444 + 13.6415i −0.501876 + 0.498117i
\(751\) −9.57235 −0.349300 −0.174650 0.984631i \(-0.555879\pi\)
−0.174650 + 0.984631i \(0.555879\pi\)
\(752\) 4.39924 4.39924i 0.160424 0.160424i
\(753\) 4.65089 1.11771i 0.169488 0.0407318i
\(754\) 6.42365i 0.233935i
\(755\) −8.17841 + 3.88756i −0.297643 + 0.141483i
\(756\) −21.6586 1.68950i −0.787717 0.0614466i
\(757\) 34.0638 + 34.0638i 1.23807 + 1.23807i 0.960788 + 0.277283i \(0.0894340\pi\)
0.277283 + 0.960788i \(0.410566\pi\)
\(758\) −3.83561 3.83561i −0.139316 0.139316i
\(759\) −24.6119 15.0744i −0.893356 0.547166i
\(760\) 1.71538 4.82370i 0.0622234 0.174974i
\(761\) 33.3780i 1.20995i −0.796244 0.604976i \(-0.793183\pi\)
0.796244 0.604976i \(-0.206817\pi\)
\(762\) −3.02310 12.5793i −0.109515 0.455701i
\(763\) 46.3373 46.3373i 1.67752 1.67752i
\(764\) −20.9450 −0.757765
\(765\) −2.37148 18.1349i −0.0857411 0.655669i
\(766\) 7.75257 0.280112
\(767\) 4.74765 4.74765i 0.171428 0.171428i
\(768\) −0.404727 1.68410i −0.0146043 0.0607698i
\(769\) 20.8747i 0.752762i 0.926465 + 0.376381i \(0.122832\pi\)
−0.926465 + 0.376381i \(0.877168\pi\)
\(770\) −20.0530 42.1863i −0.722661 1.52029i
\(771\) 20.5701 + 12.5989i 0.740815 + 0.453737i
\(772\) −8.68054