Properties

Label 729.2.k.a.4.9
Level $729$
Weight $2$
Character 729.4
Analytic conductor $5.821$
Analytic rank $0$
Dimension $12960$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [729,2,Mod(4,729)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(729, base_ring=CyclotomicField(486))
 
chi = DirichletCharacter(H, H._module([2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("729.4");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 729 = 3^{6} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 729.k (of order \(243\), degree \(162\), 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: \(5.82109430735\)
Analytic rank: \(0\)
Dimension: \(12960\)
Relative dimension: \(80\) over \(\Q(\zeta_{243})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{243}]$

Embedding invariants

Embedding label 4.9
Character \(\chi\) \(=\) 729.4
Dual form 729.2.k.a.547.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-2.38009 - 0.0307723i) q^{2} +(-1.09995 + 1.33795i) q^{3} +(3.66453 + 0.0947738i) q^{4} +(2.99225 + 0.916937i) q^{5} +(2.65915 - 3.15058i) q^{6} +(-0.120994 + 0.301715i) q^{7} +(-3.96199 - 0.153743i) q^{8} +(-0.580208 - 2.94336i) q^{9} +O(q^{10})\) \(q+(-2.38009 - 0.0307723i) q^{2} +(-1.09995 + 1.33795i) q^{3} +(3.66453 + 0.0947738i) q^{4} +(2.99225 + 0.916937i) q^{5} +(2.65915 - 3.15058i) q^{6} +(-0.120994 + 0.301715i) q^{7} +(-3.96199 - 0.153743i) q^{8} +(-0.580208 - 2.94336i) q^{9} +(-7.09359 - 2.27447i) q^{10} +(-2.57335 - 1.46363i) q^{11} +(-4.15761 + 4.79870i) q^{12} +(2.35060 + 5.26122i) q^{13} +(0.297261 - 0.714385i) q^{14} +(-4.51815 + 2.99488i) q^{15} +(2.10343 + 0.108873i) q^{16} +(-6.15139 - 2.79615i) q^{17} +(1.29037 + 7.02330i) q^{18} +(-0.549676 - 0.801448i) q^{19} +(10.8783 + 3.64373i) q^{20} +(-0.270591 - 0.493757i) q^{21} +(6.07976 + 3.56275i) q^{22} +(-1.84006 + 5.61370i) q^{23} +(4.56370 - 5.13182i) q^{24} +(3.97120 + 2.68609i) q^{25} +(-5.43273 - 12.5945i) q^{26} +(4.57626 + 2.46127i) q^{27} +(-0.471982 + 1.09418i) q^{28} +(-3.83899 + 2.45443i) q^{29} +(10.8457 - 6.98905i) q^{30} +(-0.244785 - 0.901881i) q^{31} +(2.91038 + 0.188395i) q^{32} +(4.78883 - 1.83309i) q^{33} +(14.5548 + 6.84437i) q^{34} +(-0.638699 + 0.791863i) q^{35} +(-1.84724 - 10.8410i) q^{36} +(10.3658 + 2.03577i) q^{37} +(1.28361 + 1.92443i) q^{38} +(-9.62478 - 2.64211i) q^{39} +(-11.7143 - 4.09293i) q^{40} +(-0.489437 + 0.185341i) q^{41} +(0.628836 + 1.18351i) q^{42} +(-8.37284 + 3.67607i) q^{43} +(-9.29141 - 5.60740i) q^{44} +(0.962748 - 9.33927i) q^{45} +(4.55226 - 13.3045i) q^{46} +(2.08127 - 7.66820i) q^{47} +(-2.45934 + 2.69452i) q^{48} +(4.98406 + 4.76349i) q^{49} +(-9.36915 - 6.51532i) q^{50} +(10.5073 - 5.15460i) q^{51} +(8.11521 + 19.5026i) q^{52} +(-8.14164 + 8.62964i) q^{53} +(-10.8162 - 5.99885i) q^{54} +(-6.35805 - 6.73914i) q^{55} +(0.525765 - 1.17679i) q^{56} +(1.67691 + 0.146116i) q^{57} +(9.21264 - 5.72363i) q^{58} +(-9.23154 + 1.56631i) q^{59} +(-16.8407 + 10.5466i) q^{60} +(-5.54009 + 10.1957i) q^{61} +(0.554857 + 2.15409i) q^{62} +(0.958258 + 0.181072i) q^{63} +(-11.1210 - 0.864392i) q^{64} +(2.20937 + 17.8982i) q^{65} +(-11.4542 + 4.21555i) q^{66} +(-10.7198 + 5.55835i) q^{67} +(-22.2769 - 10.8296i) q^{68} +(-5.48686 - 8.63672i) q^{69} +(1.54453 - 1.86505i) q^{70} +(1.85510 + 1.43781i) q^{71} +(1.84626 + 11.7507i) q^{72} +(6.09372 - 1.95387i) q^{73} +(-24.6088 - 5.16429i) q^{74} +(-7.96198 + 2.35869i) q^{75} +(-1.93835 - 2.98902i) q^{76} +(0.752960 - 0.599329i) q^{77} +(22.8265 + 6.58462i) q^{78} +(-0.343987 + 1.81343i) q^{79} +(6.19415 + 2.25449i) q^{80} +(-8.32672 + 3.41552i) q^{81} +(1.17061 - 0.426066i) q^{82} +(0.252678 + 1.54992i) q^{83} +(-0.944794 - 1.83503i) q^{84} +(-15.8426 - 14.0072i) q^{85} +(20.0412 - 8.49170i) q^{86} +(0.938797 - 7.83613i) q^{87} +(9.97057 + 6.19451i) q^{88} +(-0.100757 - 0.0411636i) q^{89} +(-2.57881 + 22.1986i) q^{90} +(-1.87180 + 0.0726343i) q^{91} +(-7.27500 + 20.3972i) q^{92} +(1.47592 + 0.664517i) q^{93} +(-5.18958 + 18.1869i) q^{94} +(-0.909891 - 2.90215i) q^{95} +(-3.45335 + 3.68672i) q^{96} +(2.87978 - 12.5106i) q^{97} +(-11.7159 - 11.4909i) q^{98} +(-2.81490 + 8.42351i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12960 q - 162 q^{2} - 162 q^{3} - 162 q^{4} - 162 q^{5} - 162 q^{6} - 162 q^{7} - 162 q^{8} - 162 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12960 q - 162 q^{2} - 162 q^{3} - 162 q^{4} - 162 q^{5} - 162 q^{6} - 162 q^{7} - 162 q^{8} - 162 q^{9} - 162 q^{10} - 162 q^{11} - 162 q^{12} - 162 q^{13} - 162 q^{14} - 162 q^{15} - 162 q^{16} - 162 q^{17} - 162 q^{18} - 162 q^{19} - 162 q^{20} - 162 q^{21} - 162 q^{22} - 162 q^{23} - 162 q^{24} - 162 q^{25} - 162 q^{26} - 162 q^{27} - 162 q^{28} - 162 q^{29} - 162 q^{30} - 162 q^{31} - 162 q^{32} - 162 q^{33} - 162 q^{34} - 162 q^{35} - 162 q^{36} - 162 q^{37} - 162 q^{38} - 162 q^{39} - 162 q^{40} - 162 q^{41} - 162 q^{42} - 162 q^{43} - 162 q^{44} - 162 q^{45} - 162 q^{46} - 162 q^{47} - 162 q^{48} - 162 q^{49} - 162 q^{50} - 162 q^{51} - 162 q^{52} - 162 q^{53} - 162 q^{54} - 162 q^{55} - 162 q^{56} - 162 q^{57} - 162 q^{58} - 162 q^{59} - 162 q^{60} - 162 q^{61} - 162 q^{62} - 162 q^{63} - 162 q^{64} - 162 q^{65} - 162 q^{66} - 162 q^{67} - 162 q^{68} - 162 q^{69} - 162 q^{70} - 162 q^{71} - 162 q^{72} - 162 q^{73} - 162 q^{74} - 162 q^{75} - 162 q^{76} - 162 q^{77} - 162 q^{78} - 162 q^{79} - 162 q^{80} - 162 q^{81} - 162 q^{82} - 162 q^{83} - 162 q^{84} - 162 q^{85} - 162 q^{86} - 162 q^{87} - 162 q^{88} - 162 q^{89} - 162 q^{90} - 162 q^{91} - 162 q^{92} - 162 q^{93} - 162 q^{94} - 162 q^{95} - 162 q^{96} - 162 q^{97} - 162 q^{98} - 162 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{243}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.38009 0.0307723i −1.68297 0.0217593i −0.834504 0.551002i \(-0.814246\pi\)
−0.848471 + 0.529243i \(0.822476\pi\)
\(3\) −1.09995 + 1.33795i −0.635058 + 0.772464i
\(4\) 3.66453 + 0.0947738i 1.83226 + 0.0473869i
\(5\) 2.99225 + 0.916937i 1.33817 + 0.410067i 0.878382 0.477960i \(-0.158623\pi\)
0.459792 + 0.888027i \(0.347924\pi\)
\(6\) 2.65915 3.15058i 1.08559 1.28622i
\(7\) −0.120994 + 0.301715i −0.0457316 + 0.114038i −0.949262 0.314486i \(-0.898168\pi\)
0.903531 + 0.428524i \(0.140966\pi\)
\(8\) −3.96199 0.153743i −1.40077 0.0543564i
\(9\) −0.580208 2.94336i −0.193403 0.981119i
\(10\) −7.09359 2.27447i −2.24319 0.719250i
\(11\) −2.57335 1.46363i −0.775895 0.441301i 0.0544734 0.998515i \(-0.482652\pi\)
−0.830369 + 0.557215i \(0.811870\pi\)
\(12\) −4.15761 + 4.79870i −1.20020 + 1.38527i
\(13\) 2.35060 + 5.26122i 0.651939 + 1.45920i 0.874867 + 0.484364i \(0.160949\pi\)
−0.222928 + 0.974835i \(0.571561\pi\)
\(14\) 0.297261 0.714385i 0.0794465 0.190927i
\(15\) −4.51815 + 2.99488i −1.16658 + 0.773276i
\(16\) 2.10343 + 0.108873i 0.525857 + 0.0272182i
\(17\) −6.15139 2.79615i −1.49193 0.678166i −0.508769 0.860903i \(-0.669899\pi\)
−0.983162 + 0.182737i \(0.941504\pi\)
\(18\) 1.29037 + 7.02330i 0.304143 + 1.65541i
\(19\) −0.549676 0.801448i −0.126104 0.183865i 0.756483 0.654014i \(-0.226916\pi\)
−0.882587 + 0.470149i \(0.844200\pi\)
\(20\) 10.8783 + 3.64373i 2.43246 + 0.814763i
\(21\) −0.270591 0.493757i −0.0590479 0.107747i
\(22\) 6.07976 + 3.56275i 1.29621 + 0.759581i
\(23\) −1.84006 + 5.61370i −0.383680 + 1.17054i 0.556788 + 0.830655i \(0.312034\pi\)
−0.940468 + 0.339883i \(0.889612\pi\)
\(24\) 4.56370 5.13182i 0.931561 1.04753i
\(25\) 3.97120 + 2.68609i 0.794241 + 0.537217i
\(26\) −5.43273 12.5945i −1.06545 2.46998i
\(27\) 4.57626 + 2.46127i 0.880702 + 0.473671i
\(28\) −0.471982 + 1.09418i −0.0891962 + 0.206780i
\(29\) −3.83899 + 2.45443i −0.712882 + 0.455777i −0.844522 0.535520i \(-0.820115\pi\)
0.131640 + 0.991298i \(0.457976\pi\)
\(30\) 10.8457 6.98905i 1.98015 1.27602i
\(31\) −0.244785 0.901881i −0.0439647 0.161983i 0.939697 0.342007i \(-0.111107\pi\)
−0.983662 + 0.180024i \(0.942382\pi\)
\(32\) 2.91038 + 0.188395i 0.514488 + 0.0333039i
\(33\) 4.78883 1.83309i 0.833627 0.319100i
\(34\) 14.5548 + 6.84437i 2.49613 + 1.17380i
\(35\) −0.638699 + 0.791863i −0.107960 + 0.133849i
\(36\) −1.84724 10.8410i −0.307873 1.80683i
\(37\) 10.3658 + 2.03577i 1.70412 + 0.334679i 0.947641 0.319338i \(-0.103460\pi\)
0.756481 + 0.654016i \(0.226917\pi\)
\(38\) 1.28361 + 1.92443i 0.208230 + 0.312184i
\(39\) −9.62478 2.64211i −1.54120 0.423076i
\(40\) −11.7143 4.09293i −1.85219 0.647149i
\(41\) −0.489437 + 0.185341i −0.0764372 + 0.0289454i −0.392063 0.919939i \(-0.628238\pi\)
0.315625 + 0.948884i \(0.397786\pi\)
\(42\) 0.628836 + 1.18351i 0.0970316 + 0.182620i
\(43\) −8.37284 + 3.67607i −1.27685 + 0.560595i −0.926595 0.376061i \(-0.877278\pi\)
−0.350252 + 0.936656i \(0.613904\pi\)
\(44\) −9.29141 5.60740i −1.40073 0.845347i
\(45\) 0.962748 9.33927i 0.143518 1.39222i
\(46\) 4.55226 13.3045i 0.671193 1.96164i
\(47\) 2.08127 7.66820i 0.303585 1.11852i −0.634728 0.772735i \(-0.718888\pi\)
0.938313 0.345786i \(-0.112388\pi\)
\(48\) −2.45934 + 2.69452i −0.354975 + 0.388921i
\(49\) 4.98406 + 4.76349i 0.712009 + 0.680499i
\(50\) −9.36915 6.51532i −1.32500 0.921405i
\(51\) 10.5073 5.15460i 1.47132 0.721789i
\(52\) 8.11521 + 19.5026i 1.12538 + 2.70453i
\(53\) −8.14164 + 8.62964i −1.11834 + 1.18537i −0.137512 + 0.990500i \(0.543911\pi\)
−0.980829 + 0.194872i \(0.937571\pi\)
\(54\) −10.8162 5.99885i −1.47189 0.816340i
\(55\) −6.35805 6.73914i −0.857320 0.908706i
\(56\) 0.525765 1.17679i 0.0702583 0.157255i
\(57\) 1.67691 + 0.146116i 0.222113 + 0.0193536i
\(58\) 9.21264 5.72363i 1.20968 0.751550i
\(59\) −9.23154 + 1.56631i −1.20184 + 0.203916i −0.733537 0.679650i \(-0.762132\pi\)
−0.468307 + 0.883566i \(0.655136\pi\)
\(60\) −16.8407 + 10.5466i −2.17413 + 1.36156i
\(61\) −5.54009 + 10.1957i −0.709335 + 1.30543i 0.233561 + 0.972342i \(0.424962\pi\)
−0.942897 + 0.333085i \(0.891910\pi\)
\(62\) 0.554857 + 2.15409i 0.0704669 + 0.273569i
\(63\) 0.958258 + 0.181072i 0.120729 + 0.0228129i
\(64\) −11.1210 0.864392i −1.39012 0.108049i
\(65\) 2.20937 + 17.8982i 0.274039 + 2.22000i
\(66\) −11.4542 + 4.21555i −1.40992 + 0.518898i
\(67\) −10.7198 + 5.55835i −1.30963 + 0.679061i −0.965633 0.259911i \(-0.916307\pi\)
−0.343995 + 0.938972i \(0.611780\pi\)
\(68\) −22.2769 10.8296i −2.70148 1.31328i
\(69\) −5.48686 8.63672i −0.660540 1.03974i
\(70\) 1.54453 1.86505i 0.184606 0.222916i
\(71\) 1.85510 + 1.43781i 0.220160 + 0.170637i 0.716710 0.697371i \(-0.245647\pi\)
−0.496550 + 0.868008i \(0.665400\pi\)
\(72\) 1.84626 + 11.7507i 0.217583 + 1.38484i
\(73\) 6.09372 1.95387i 0.713216 0.228684i 0.0735004 0.997295i \(-0.476583\pi\)
0.639716 + 0.768612i \(0.279052\pi\)
\(74\) −24.6088 5.16429i −2.86071 0.600336i
\(75\) −7.96198 + 2.35869i −0.919370 + 0.272359i
\(76\) −1.93835 2.98902i −0.222344 0.342865i
\(77\) 0.752960 0.599329i 0.0858078 0.0682999i
\(78\) 22.8265 + 6.58462i 2.58459 + 0.745562i
\(79\) −0.343987 + 1.81343i −0.0387015 + 0.204027i −0.996521 0.0833446i \(-0.973440\pi\)
0.957819 + 0.287371i \(0.0927814\pi\)
\(80\) 6.19415 + 2.25449i 0.692527 + 0.252059i
\(81\) −8.32672 + 3.41552i −0.925191 + 0.379502i
\(82\) 1.17061 0.426066i 0.129272 0.0470511i
\(83\) 0.252678 + 1.54992i 0.0277350 + 0.170126i 0.997165 0.0752402i \(-0.0239724\pi\)
−0.969430 + 0.245366i \(0.921092\pi\)
\(84\) −0.944794 1.83503i −0.103086 0.200218i
\(85\) −15.8426 14.0072i −1.71837 1.51930i
\(86\) 20.0412 8.49170i 2.16110 0.915684i
\(87\) 0.938797 7.83613i 0.100650 0.840121i
\(88\) 9.97057 + 6.19451i 1.06287 + 0.660337i
\(89\) −0.100757 0.0411636i −0.0106802 0.00436334i 0.372853 0.927890i \(-0.378379\pi\)
−0.383534 + 0.923527i \(0.625293\pi\)
\(90\) −2.57881 + 22.1986i −0.271831 + 2.33994i
\(91\) −1.87180 + 0.0726343i −0.196218 + 0.00761414i
\(92\) −7.27500 + 20.3972i −0.758471 + 2.12655i
\(93\) 1.47592 + 0.664517i 0.153046 + 0.0689072i
\(94\) −5.18958 + 18.1869i −0.535264 + 1.87584i
\(95\) −0.909891 2.90215i −0.0933528 0.297754i
\(96\) −3.45335 + 3.68672i −0.352456 + 0.376274i
\(97\) 2.87978 12.5106i 0.292397 1.27026i −0.592917 0.805264i \(-0.702024\pi\)
0.885314 0.464993i \(-0.153943\pi\)
\(98\) −11.7159 11.4909i −1.18349 1.16076i
\(99\) −2.81490 + 8.42351i −0.282908 + 0.846595i
\(100\) 14.2980 + 10.2196i 1.42980 + 1.02196i
\(101\) 0.404776 2.70244i 0.0402767 0.268903i −0.959648 0.281205i \(-0.909266\pi\)
0.999924 + 0.0123021i \(0.00391599\pi\)
\(102\) −25.1670 + 11.9451i −2.49190 + 1.18274i
\(103\) −0.619527 1.73699i −0.0610439 0.171151i 0.907466 0.420125i \(-0.138014\pi\)
−0.968510 + 0.248974i \(0.919907\pi\)
\(104\) −8.50417 21.2063i −0.833902 2.07944i
\(105\) −0.356932 1.72556i −0.0348330 0.168397i
\(106\) 19.6434 20.2887i 1.90793 1.97062i
\(107\) 0.424397 + 7.28661i 0.0410280 + 0.704423i 0.954626 + 0.297806i \(0.0962548\pi\)
−0.913598 + 0.406618i \(0.866708\pi\)
\(108\) 16.5366 + 9.45309i 1.59123 + 0.909624i
\(109\) 0.413161 7.09369i 0.0395736 0.679453i −0.918939 0.394401i \(-0.870952\pi\)
0.958512 0.285052i \(-0.0920108\pi\)
\(110\) 14.9253 + 16.2354i 1.42307 + 1.54798i
\(111\) −14.1256 + 11.6296i −1.34074 + 1.10383i
\(112\) −0.287352 + 0.621464i −0.0271522 + 0.0587228i
\(113\) 5.23657 3.84612i 0.492615 0.361813i −0.317333 0.948314i \(-0.602787\pi\)
0.809948 + 0.586502i \(0.199495\pi\)
\(114\) −3.98670 0.399372i −0.373389 0.0374046i
\(115\) −10.6533 + 15.1104i −0.993429 + 1.40905i
\(116\) −14.3007 + 8.63051i −1.32779 + 0.801323i
\(117\) 14.1218 9.97126i 1.30556 0.921843i
\(118\) 22.0201 3.44387i 2.02711 0.317034i
\(119\) 1.58792 1.51765i 0.145565 0.139123i
\(120\) 18.3613 11.1711i 1.67615 1.01977i
\(121\) −1.14276 1.92151i −0.103887 0.174683i
\(122\) 13.4996 24.0962i 1.22220 2.18157i
\(123\) 0.290382 0.858707i 0.0261828 0.0774270i
\(124\) −0.811548 3.32817i −0.0728792 0.298878i
\(125\) −0.404115 0.501025i −0.0361452 0.0448130i
\(126\) −2.27516 0.460455i −0.202688 0.0410206i
\(127\) −0.0419081 2.16077i −0.00371874 0.191737i −0.997064 0.0765666i \(-0.975604\pi\)
0.993346 0.115171i \(-0.0367415\pi\)
\(128\) 20.6332 + 1.87239i 1.82374 + 0.165498i
\(129\) 4.29135 15.2459i 0.377832 1.34233i
\(130\) −4.70772 42.6673i −0.412894 3.74217i
\(131\) −7.44479 + 0.675588i −0.650454 + 0.0590264i −0.410647 0.911794i \(-0.634697\pi\)
−0.239807 + 0.970821i \(0.577084\pi\)
\(132\) 17.7225 6.26355i 1.54255 0.545172i
\(133\) 0.308317 0.0688751i 0.0267345 0.00597223i
\(134\) 25.6850 12.8995i 2.21885 1.11435i
\(135\) 11.4365 + 11.5609i 0.984296 + 0.995001i
\(136\) 23.9418 + 12.0240i 2.05299 + 1.03105i
\(137\) 22.1677 + 5.55748i 1.89392 + 0.474808i 0.999627 + 0.0273177i \(0.00869656\pi\)
0.894289 + 0.447490i \(0.147682\pi\)
\(138\) 12.7934 + 20.7250i 1.08905 + 1.76423i
\(139\) −8.50557 1.21781i −0.721433 0.103294i −0.228728 0.973490i \(-0.573457\pi\)
−0.492705 + 0.870197i \(0.663992\pi\)
\(140\) −2.41558 + 2.84127i −0.204154 + 0.240131i
\(141\) 7.97034 + 11.2193i 0.671224 + 0.944834i
\(142\) −4.37105 3.47920i −0.366810 0.291968i
\(143\) 1.65155 16.9794i 0.138109 1.41989i
\(144\) −0.899976 6.25431i −0.0749980 0.521193i
\(145\) −13.7378 + 3.82417i −1.14086 + 0.317580i
\(146\) −14.5637 + 4.46287i −1.20530 + 0.369349i
\(147\) −11.8555 + 1.42880i −0.977828 + 0.117846i
\(148\) 37.7927 + 8.44254i 3.10654 + 0.693973i
\(149\) 0.156888 0.0393321i 0.0128528 0.00322221i −0.236744 0.971572i \(-0.576080\pi\)
0.249597 + 0.968350i \(0.419702\pi\)
\(150\) 19.0228 5.36889i 1.55320 0.438368i
\(151\) −10.5874 12.4532i −0.861591 1.01343i −0.999735 0.0230153i \(-0.992673\pi\)
0.138144 0.990412i \(-0.455886\pi\)
\(152\) 2.05459 + 3.25983i 0.166650 + 0.264408i
\(153\) −4.66098 + 19.7281i −0.376818 + 1.59492i
\(154\) −1.81055 + 1.40328i −0.145899 + 0.113080i
\(155\) 0.0945103 2.92311i 0.00759125 0.234789i
\(156\) −35.0199 10.5943i −2.80383 0.848220i
\(157\) −1.34820 + 10.9218i −0.107598 + 0.871657i 0.837854 + 0.545895i \(0.183810\pi\)
−0.945452 + 0.325762i \(0.894379\pi\)
\(158\) 0.874521 4.30553i 0.0695732 0.342530i
\(159\) −2.59058 20.3853i −0.205447 1.61666i
\(160\) 8.53585 + 3.23237i 0.674818 + 0.255541i
\(161\) −1.47110 1.23440i −0.115939 0.0972845i
\(162\) 19.9234 7.87300i 1.56533 0.618562i
\(163\) −17.1777 + 14.4138i −1.34546 + 1.12898i −0.365274 + 0.930900i \(0.619025\pi\)
−0.980187 + 0.198076i \(0.936531\pi\)
\(164\) −1.81112 + 0.632801i −0.141425 + 0.0494134i
\(165\) 16.0102 1.09401i 1.24639 0.0851682i
\(166\) −0.553701 3.69673i −0.0429755 0.286922i
\(167\) 0.250920 0.491673i 0.0194168 0.0380468i −0.880801 0.473486i \(-0.842995\pi\)
0.900218 + 0.435439i \(0.143407\pi\)
\(168\) 0.996167 + 1.99786i 0.0768560 + 0.154138i
\(169\) −13.4814 + 15.0507i −1.03703 + 1.15774i
\(170\) 37.2757 + 33.8259i 2.85891 + 2.59433i
\(171\) −2.04002 + 2.08290i −0.156004 + 0.159283i
\(172\) −31.0309 + 12.6775i −2.36609 + 0.966652i
\(173\) 3.41279 + 0.579045i 0.259469 + 0.0440240i 0.295559 0.955325i \(-0.404494\pi\)
−0.0360893 + 0.999349i \(0.511490\pi\)
\(174\) −2.47555 + 18.6218i −0.187671 + 1.41171i
\(175\) −1.29093 + 0.873172i −0.0975849 + 0.0660056i
\(176\) −5.25352 3.35881i −0.395999 0.253180i
\(177\) 8.05862 14.0742i 0.605723 1.05788i
\(178\) 0.238543 + 0.101074i 0.0178795 + 0.00757578i
\(179\) 6.18100 + 12.9265i 0.461990 + 0.966170i 0.992923 + 0.118757i \(0.0378908\pi\)
−0.530933 + 0.847414i \(0.678159\pi\)
\(180\) 4.41314 34.1328i 0.328936 2.54411i
\(181\) 3.99185 + 1.11121i 0.296712 + 0.0825953i 0.413329 0.910582i \(-0.364366\pi\)
−0.116618 + 0.993177i \(0.537205\pi\)
\(182\) 4.45728 0.115276i 0.330395 0.00854485i
\(183\) −7.54750 18.6271i −0.557927 1.37696i
\(184\) 8.15338 21.9585i 0.601075 1.61880i
\(185\) 29.1503 + 15.5963i 2.14317 + 1.14666i
\(186\) −3.49237 1.62702i −0.256073 0.119299i
\(187\) 11.7372 + 16.1988i 0.858307 + 1.18458i
\(188\) 8.35363 27.9031i 0.609251 2.03504i
\(189\) −1.29630 + 1.08293i −0.0942922 + 0.0787715i
\(190\) 2.07631 + 6.93536i 0.150631 + 0.503144i
\(191\) 8.09050 10.5791i 0.585408 0.765477i −0.403343 0.915049i \(-0.632152\pi\)
0.988751 + 0.149572i \(0.0477896\pi\)
\(192\) 13.3891 13.9285i 0.966273 1.00520i
\(193\) −14.8294 + 6.97349i −1.06744 + 0.501963i −0.877374 0.479808i \(-0.840706\pi\)
−0.190069 + 0.981771i \(0.560871\pi\)
\(194\) −7.23910 + 29.6876i −0.519737 + 2.13145i
\(195\) −26.3771 16.7312i −1.88890 1.19814i
\(196\) 17.8128 + 17.9283i 1.27234 + 1.28059i
\(197\) −10.8778 + 2.13633i −0.775012 + 0.152207i −0.564555 0.825396i \(-0.690952\pi\)
−0.210458 + 0.977603i \(0.567495\pi\)
\(198\) 6.95892 19.9621i 0.494549 1.41864i
\(199\) 17.5179 9.66594i 1.24181 0.685201i 0.280283 0.959917i \(-0.409572\pi\)
0.961525 + 0.274717i \(0.0885841\pi\)
\(200\) −15.3209 11.2528i −1.08335 0.795692i
\(201\) 4.35444 20.4564i 0.307139 1.44288i
\(202\) −1.04656 + 6.41959i −0.0736358 + 0.451681i
\(203\) −0.276045 1.45525i −0.0193746 0.102139i
\(204\) 38.9930 17.8934i 2.73005 1.25279i
\(205\) −1.63446 + 0.105802i −0.114156 + 0.00738954i
\(206\) 1.42108 + 4.15325i 0.0990111 + 0.289371i
\(207\) 17.5908 + 2.15885i 1.22264 + 0.150050i
\(208\) 4.37151 + 11.3225i 0.303110 + 0.785075i
\(209\) 0.241489 + 2.86693i 0.0167042 + 0.198310i
\(210\) 0.796430 + 4.11796i 0.0549589 + 0.284166i
\(211\) −0.657517 + 0.985767i −0.0452653 + 0.0678630i −0.853859 0.520505i \(-0.825744\pi\)
0.808593 + 0.588368i \(0.200229\pi\)
\(212\) −30.6532 + 30.8519i −2.10527 + 2.11892i
\(213\) −3.96424 + 0.900502i −0.271625 + 0.0617014i
\(214\) −0.785875 17.3558i −0.0537213 1.18642i
\(215\) −28.4243 + 3.32233i −1.93852 + 0.226581i
\(216\) −17.7527 10.4551i −1.20792 0.711378i
\(217\) 0.301729 + 0.0352671i 0.0204827 + 0.00239408i
\(218\) −1.20165 + 16.8709i −0.0813858 + 1.14264i
\(219\) −4.08862 + 10.3022i −0.276284 + 0.696161i
\(220\) −22.6606 25.2984i −1.52778 1.70562i
\(221\) 0.251696 38.9364i 0.0169309 2.61915i
\(222\) 33.9780 27.2448i 2.28046 1.82855i
\(223\) 8.29216 7.33151i 0.555284 0.490954i −0.337570 0.941301i \(-0.609605\pi\)
0.892854 + 0.450346i \(0.148699\pi\)
\(224\) −0.408982 + 0.855313i −0.0273262 + 0.0571480i
\(225\) 5.60199 13.2472i 0.373466 0.883144i
\(226\) −12.5818 + 8.99295i −0.836931 + 0.598202i
\(227\) −1.37309 2.69054i −0.0911353 0.178578i 0.840659 0.541565i \(-0.182168\pi\)
−0.931794 + 0.362988i \(0.881757\pi\)
\(228\) 6.13125 + 0.694375i 0.406052 + 0.0459861i
\(229\) −5.40306 7.06502i −0.357045 0.466870i 0.580739 0.814090i \(-0.302764\pi\)
−0.937784 + 0.347220i \(0.887126\pi\)
\(230\) 25.8208 35.6361i 1.70258 2.34978i
\(231\) −0.0263496 + 1.66666i −0.00173368 + 0.109658i
\(232\) 15.5874 9.13422i 1.02336 0.599691i
\(233\) 4.28021 + 19.7597i 0.280406 + 1.29450i 0.872494 + 0.488625i \(0.162501\pi\)
−0.592088 + 0.805873i \(0.701696\pi\)
\(234\) −33.9179 + 23.2979i −2.21729 + 1.52303i
\(235\) 13.2589 21.0367i 0.864918 1.37229i
\(236\) −33.9777 + 4.86488i −2.21176 + 0.316676i
\(237\) −2.04790 2.45492i −0.133026 0.159464i
\(238\) −3.82610 + 3.56327i −0.248009 + 0.230973i
\(239\) −4.92680 9.06705i −0.318688 0.586499i 0.668939 0.743317i \(-0.266749\pi\)
−0.987627 + 0.156819i \(0.949876\pi\)
\(240\) −9.82966 + 5.80762i −0.634502 + 0.374880i
\(241\) 4.70376 7.90922i 0.302996 0.509478i −0.669373 0.742926i \(-0.733437\pi\)
0.972369 + 0.233449i \(0.0750011\pi\)
\(242\) 2.66074 + 4.60853i 0.171039 + 0.296248i
\(243\) 4.58920 14.8976i 0.294398 0.955683i
\(244\) −21.2681 + 36.8374i −1.36155 + 2.35827i
\(245\) 10.5457 + 18.8236i 0.673742 + 1.20260i
\(246\) −0.717557 + 2.03486i −0.0457498 + 0.129738i
\(247\) 2.92452 4.77585i 0.186083 0.303880i
\(248\) 0.831178 + 3.61088i 0.0527799 + 0.229291i
\(249\) −2.35165 1.36677i −0.149030 0.0866157i
\(250\) 0.946412 + 1.20492i 0.0598563 + 0.0762056i
\(251\) 11.7073 + 22.2258i 0.738961 + 1.40288i 0.908724 + 0.417398i \(0.137058\pi\)
−0.169763 + 0.985485i \(0.554300\pi\)
\(252\) 3.49440 + 0.754361i 0.220127 + 0.0475203i
\(253\) 12.9515 11.7529i 0.814254 0.738896i
\(254\) 0.0332529 + 5.14410i 0.00208647 + 0.322770i
\(255\) 36.1670 5.78928i 2.26487 0.362539i
\(256\) −26.8614 2.78814i −1.67884 0.174259i
\(257\) −2.41698 + 0.314228i −0.150767 + 0.0196010i −0.203934 0.978985i \(-0.565373\pi\)
0.0531673 + 0.998586i \(0.483068\pi\)
\(258\) −10.6829 + 36.1546i −0.665090 + 2.25088i
\(259\) −1.86842 + 2.88119i −0.116098 + 0.179029i
\(260\) 6.40001 + 65.7979i 0.396912 + 4.08061i
\(261\) 9.45169 + 9.87543i 0.585045 + 0.611274i
\(262\) 17.7400 1.37886i 1.09598 0.0851865i
\(263\) 0.609281 + 2.99967i 0.0375699 + 0.184968i 0.994400 0.105679i \(-0.0337016\pi\)
−0.956830 + 0.290647i \(0.906130\pi\)
\(264\) −19.2551 + 6.52643i −1.18507 + 0.401674i
\(265\) −32.2747 + 18.3566i −1.98262 + 1.12764i
\(266\) −0.735940 + 0.154441i −0.0451234 + 0.00946939i
\(267\) 0.165902 0.0895291i 0.0101531 0.00547909i
\(268\) −39.8097 + 19.3528i −2.43176 + 1.18216i
\(269\) 12.5663 16.8794i 0.766178 1.02916i −0.232225 0.972662i \(-0.574600\pi\)
0.998403 0.0564938i \(-0.0179921\pi\)
\(270\) −26.8640 27.8678i −1.63489 1.69598i
\(271\) 8.23962 + 11.0677i 0.500521 + 0.672317i 0.978546 0.206030i \(-0.0660543\pi\)
−0.478024 + 0.878347i \(0.658647\pi\)
\(272\) −12.6346 6.55122i −0.766084 0.397226i
\(273\) 1.96171 2.58426i 0.118728 0.156407i
\(274\) −52.5900 13.9094i −3.17708 0.840300i
\(275\) −6.28787 12.7246i −0.379173 0.767323i
\(276\) −19.2882 32.1695i −1.16101 1.93638i
\(277\) 10.4992 7.30117i 0.630837 0.438685i −0.211692 0.977336i \(-0.567897\pi\)
0.842529 + 0.538651i \(0.181066\pi\)
\(278\) 20.2065 + 3.16024i 1.21191 + 0.189539i
\(279\) −2.51253 + 1.24377i −0.150421 + 0.0744626i
\(280\) 2.65226 3.03915i 0.158503 0.181624i
\(281\) 2.51728 5.09416i 0.150168 0.303892i −0.808461 0.588550i \(-0.799699\pi\)
0.958629 + 0.284658i \(0.0918801\pi\)
\(282\) −18.6249 26.9481i −1.10909 1.60474i
\(283\) −16.2103 + 13.9631i −0.963600 + 0.830020i −0.985489 0.169741i \(-0.945707\pi\)
0.0218885 + 0.999760i \(0.493032\pi\)
\(284\) 6.66180 + 5.44471i 0.395305 + 0.323084i
\(285\) 4.88376 + 1.97484i 0.289289 + 0.116979i
\(286\) −4.45331 + 40.3615i −0.263330 + 2.38663i
\(287\) 0.00329901 0.170096i 0.000194734 0.0100404i
\(288\) −1.13412 8.67561i −0.0668284 0.511215i
\(289\) 18.8433 + 21.5920i 1.10843 + 1.27012i
\(290\) 32.8147 8.67910i 1.92695 0.509654i
\(291\) 13.5709 + 17.6140i 0.795539 + 1.03255i
\(292\) 22.5158 6.58250i 1.31764 0.385212i
\(293\) −1.98261 + 23.5372i −0.115825 + 1.37506i 0.663376 + 0.748286i \(0.269123\pi\)
−0.779201 + 0.626774i \(0.784375\pi\)
\(294\) 28.2612 3.03585i 1.64822 0.177054i
\(295\) −29.0593 3.77796i −1.69190 0.219961i
\(296\) −40.7560 9.65936i −2.36890 0.561439i
\(297\) −8.17396 13.0317i −0.474301 0.756173i
\(298\) −0.374618 + 0.0887860i −0.0217010 + 0.00514324i
\(299\) −33.8601 + 3.51459i −1.95818 + 0.203254i
\(300\) −29.4004 + 7.88892i −1.69744 + 0.455467i
\(301\) −0.0960588 2.97100i −0.00553674 0.171246i
\(302\) 24.8157 + 29.9655i 1.42798 + 1.72432i
\(303\) 3.17049 + 3.51413i 0.182140 + 0.201881i
\(304\) −1.06895 1.74563i −0.0613085 0.100119i
\(305\) −25.9261 + 25.4282i −1.48453 + 1.45601i
\(306\) 11.7006 46.8111i 0.668880 2.67601i
\(307\) 12.3451 17.9996i 0.704574 1.02729i −0.292892 0.956145i \(-0.594618\pi\)
0.997466 0.0711480i \(-0.0226663\pi\)
\(308\) 2.81605 2.12490i 0.160459 0.121077i
\(309\) 3.00546 + 1.08171i 0.170974 + 0.0615366i
\(310\) −0.314893 + 6.95433i −0.0178847 + 0.394979i
\(311\) 1.39858 + 19.6357i 0.0793059 + 1.11344i 0.867310 + 0.497769i \(0.165847\pi\)
−0.788004 + 0.615671i \(0.788885\pi\)
\(312\) 37.7270 + 11.9477i 2.13587 + 0.676408i
\(313\) 8.56302 + 23.0618i 0.484010 + 1.30353i 0.915830 + 0.401567i \(0.131534\pi\)
−0.431819 + 0.901960i \(0.642128\pi\)
\(314\) 3.54492 25.9534i 0.200051 1.46464i
\(315\) 2.70131 + 1.42048i 0.152202 + 0.0800347i
\(316\) −1.43241 + 6.61276i −0.0805796 + 0.371997i
\(317\) 4.87091 + 14.8603i 0.273577 + 0.834635i 0.990504 + 0.137486i \(0.0439023\pi\)
−0.716926 + 0.697149i \(0.754452\pi\)
\(318\) 5.53851 + 48.5984i 0.310584 + 2.72527i
\(319\) 13.4714 0.697277i 0.754256 0.0390400i
\(320\) −32.4842 12.7837i −1.81592 0.714632i
\(321\) −10.2159 7.44711i −0.570197 0.415657i
\(322\) 3.46336 + 2.98325i 0.193006 + 0.166250i
\(323\) 1.14031 + 6.46699i 0.0634483 + 0.359833i
\(324\) −30.8372 + 11.7271i −1.71318 + 0.651507i
\(325\) −4.79738 + 27.2073i −0.266111 + 1.50919i
\(326\) 41.3279 33.7775i 2.28894 1.87076i
\(327\) 9.03653 + 8.35551i 0.499721 + 0.462061i
\(328\) 1.96764 0.659070i 0.108645 0.0363910i
\(329\) 2.06179 + 1.55576i 0.113670 + 0.0857719i
\(330\) −38.1393 + 2.11116i −2.09950 + 0.116215i
\(331\) 28.7234 15.3679i 1.57878 0.844697i 0.579217 0.815173i \(-0.303358\pi\)
0.999564 0.0295235i \(-0.00939900\pi\)
\(332\) 0.779054 + 5.70369i 0.0427562 + 0.313031i
\(333\) −0.0223034 31.6913i −0.00122222 1.73667i
\(334\) −0.612342 + 1.16250i −0.0335059 + 0.0636093i
\(335\) −37.1728 + 6.80262i −2.03097 + 0.371667i
\(336\) −0.515413 1.06804i −0.0281181 0.0582665i
\(337\) −7.80144 8.05775i −0.424971 0.438934i 0.471614 0.881805i \(-0.343672\pi\)
−0.896585 + 0.442872i \(0.853960\pi\)
\(338\) 32.5500 35.4070i 1.77049 1.92589i
\(339\) −0.614068 + 11.2368i −0.0333516 + 0.610299i
\(340\) −56.7281 52.8313i −3.07651 2.86518i
\(341\) −0.690100 + 2.67913i −0.0373710 + 0.145083i
\(342\) 4.91952 4.89471i 0.266017 0.264675i
\(343\) −4.11180 + 1.86904i −0.222016 + 0.100919i
\(344\) 33.7383 13.2773i 1.81905 0.715862i
\(345\) −8.49871 30.8743i −0.457555 1.66222i
\(346\) −8.10491 1.48320i −0.435722 0.0797371i
\(347\) 10.7516 13.6883i 0.577174 0.734825i −0.406725 0.913551i \(-0.633329\pi\)
0.983899 + 0.178726i \(0.0571975\pi\)
\(348\) 4.18291 28.6267i 0.224228 1.53455i
\(349\) 6.05277 + 21.2120i 0.323998 + 1.13545i 0.938140 + 0.346257i \(0.112547\pi\)
−0.614142 + 0.789195i \(0.710498\pi\)
\(350\) 3.09939 2.03850i 0.165669 0.108962i
\(351\) −2.19230 + 29.8621i −0.117016 + 1.59392i
\(352\) −7.21371 4.74453i −0.384492 0.252884i
\(353\) −0.501127 + 1.59837i −0.0266723 + 0.0850729i −0.966589 0.256330i \(-0.917487\pi\)
0.939917 + 0.341403i \(0.110902\pi\)
\(354\) −19.6133 + 33.2498i −1.04243 + 1.76721i
\(355\) 4.23253 + 6.00330i 0.224640 + 0.318622i
\(356\) −0.365325 0.160394i −0.0193622 0.00850089i
\(357\) 0.283895 + 3.79390i 0.0150253 + 0.200795i
\(358\) −14.3135 30.9563i −0.756494 1.63609i
\(359\) −0.293604 0.162004i −0.0154958 0.00855023i 0.475346 0.879799i \(-0.342323\pi\)
−0.490842 + 0.871249i \(0.663311\pi\)
\(360\) −5.25024 + 36.8541i −0.276712 + 1.94238i
\(361\) 6.50320 16.8437i 0.342274 0.886511i
\(362\) −9.46674 2.76760i −0.497561 0.145462i
\(363\) 3.82786 + 0.584620i 0.200911 + 0.0306846i
\(364\) −6.86614 + 0.0887730i −0.359884 + 0.00465297i
\(365\) 20.0255 0.258911i 1.04818 0.0135520i
\(366\) 17.3905 + 44.5665i 0.909015 + 2.32953i
\(367\) −31.1389 9.10347i −1.62544 0.475197i −0.663434 0.748234i \(-0.730902\pi\)
−0.962004 + 0.273037i \(0.911972\pi\)
\(368\) −4.48162 + 11.6077i −0.233621 + 0.605093i
\(369\) 0.829500 + 1.33305i 0.0431820 + 0.0693960i
\(370\) −68.9002 38.0175i −3.58195 1.97644i
\(371\) −1.61860 3.50060i −0.0840336 0.181742i
\(372\) 5.34558 + 2.57502i 0.277155 + 0.133509i
\(373\) 11.7085 + 5.14059i 0.606245 + 0.266170i 0.682462 0.730921i \(-0.260909\pi\)
−0.0762162 + 0.997091i \(0.524284\pi\)
\(374\) −27.4370 38.9158i −1.41873 2.01229i
\(375\) 1.11485 + 0.0104179i 0.0575707 + 0.000537979i
\(376\) −9.42491 + 30.0613i −0.486053 + 1.55029i
\(377\) −21.9372 14.4283i −1.12982 0.743097i
\(378\) 3.11864 2.53757i 0.160405 0.130519i
\(379\) −1.35827 + 0.893347i −0.0697695 + 0.0458882i −0.583915 0.811815i \(-0.698480\pi\)
0.514145 + 0.857703i \(0.328109\pi\)
\(380\) −3.05927 10.7212i −0.156937 0.549988i
\(381\) 2.93709 + 2.32067i 0.150472 + 0.118892i
\(382\) −19.5816 + 24.9302i −1.00188 + 1.27554i
\(383\) 18.9338 + 3.46488i 0.967471 + 0.177047i 0.640475 0.767979i \(-0.278737\pi\)
0.326996 + 0.945026i \(0.393964\pi\)
\(384\) −25.2007 + 25.5466i −1.28602 + 1.30367i
\(385\) 2.80259 1.10292i 0.142833 0.0562102i
\(386\) 35.5098 16.1412i 1.80740 0.821564i
\(387\) 15.6780 + 22.5114i 0.796956 + 1.14432i
\(388\) 11.7387 45.5724i 0.595942 2.31359i
\(389\) −12.1495 11.3149i −0.616003 0.573688i 0.310219 0.950665i \(-0.399597\pi\)
−0.926223 + 0.376977i \(0.876964\pi\)
\(390\) 62.2648 + 40.6333i 3.15290 + 2.05755i
\(391\) 27.0157 29.3870i 1.36624 1.48616i
\(392\) −19.0144 19.6392i −0.960374 0.991927i
\(393\) 7.28501 10.7039i 0.367480 0.539938i
\(394\) 25.9559 4.74992i 1.30764 0.239298i
\(395\) −2.69209 + 5.11082i −0.135454 + 0.257153i
\(396\) −11.1136 + 30.6014i −0.558480 + 1.53778i
\(397\) 1.45201 + 10.6306i 0.0728742 + 0.533534i 0.990649 + 0.136433i \(0.0435638\pi\)
−0.917775 + 0.397101i \(0.870016\pi\)
\(398\) −41.9914 + 22.4667i −2.10484 + 1.12615i
\(399\) −0.246983 + 0.488271i −0.0123646 + 0.0244441i
\(400\) 8.06070 + 6.08235i 0.403035 + 0.304117i
\(401\) −19.3852 + 6.49317i −0.968052 + 0.324254i −0.757141 0.653252i \(-0.773404\pi\)
−0.210911 + 0.977505i \(0.567643\pi\)
\(402\) −10.9934 + 48.5540i −0.548303 + 2.42165i
\(403\) 4.16960 3.40783i 0.207703 0.169756i
\(404\) 1.73943 9.86482i 0.0865401 0.490793i
\(405\) −28.0474 + 2.58501i −1.39369 + 0.128450i
\(406\) 0.612229 + 3.47212i 0.0303844 + 0.172319i
\(407\) −23.6952 20.4104i −1.17453 1.01171i
\(408\) −42.4224 + 18.8070i −2.10022 + 0.931087i
\(409\) 20.8322 + 8.19824i 1.03009 + 0.405377i 0.820035 0.572314i \(-0.193954\pi\)
0.210051 + 0.977691i \(0.432637\pi\)
\(410\) 3.89342 0.201522i 0.192282 0.00995245i
\(411\) −31.8191 + 23.5463i −1.56952 + 1.16145i
\(412\) −2.10565 6.42397i −0.103738 0.316486i
\(413\) 0.644385 2.97481i 0.0317081 0.146381i
\(414\) −41.8011 5.67955i −2.05441 0.279135i
\(415\) −0.665107 + 4.86945i −0.0326488 + 0.239032i
\(416\) 5.84996 + 15.7550i 0.286818 + 0.772453i
\(417\) 10.9851 10.0405i 0.537942 0.491684i
\(418\) −0.486543 6.83097i −0.0237976 0.334114i
\(419\) 0.488498 10.7883i 0.0238647 0.527045i −0.951660 0.307154i \(-0.900623\pi\)
0.975524 0.219891i \(-0.0705701\pi\)
\(420\) −1.14445 6.35718i −0.0558435 0.310199i
\(421\) 28.6893 21.6480i 1.39823 1.05506i 0.408400 0.912803i \(-0.366087\pi\)
0.989830 0.142256i \(-0.0454357\pi\)
\(422\) 1.59528 2.32598i 0.0776571 0.113227i
\(423\) −23.7778 1.67678i −1.15612 0.0815280i
\(424\) 33.5838 32.9388i 1.63097 1.59965i
\(425\) −16.9177 27.6272i −0.820630 1.34012i
\(426\) 9.46293 2.02128i 0.458481 0.0979315i
\(427\) −2.40588 2.90515i −0.116429 0.140590i
\(428\) 0.864634 + 26.7422i 0.0417937 + 1.29263i
\(429\) 20.9009 + 20.8862i 1.00910 + 1.00839i
\(430\) 67.7546 7.03275i 3.26742 0.339149i
\(431\) −2.95248 + 0.699750i −0.142216 + 0.0337057i −0.301107 0.953590i \(-0.597356\pi\)
0.158891 + 0.987296i \(0.449208\pi\)
\(432\) 9.35787 + 5.67533i 0.450231 + 0.273054i
\(433\) −22.5283 5.33930i −1.08264 0.256590i −0.349685 0.936867i \(-0.613711\pi\)
−0.732955 + 0.680277i \(0.761859\pi\)
\(434\) −0.717056 0.0932235i −0.0344198 0.00447487i
\(435\) 9.99435 22.5868i 0.479192 1.08295i
\(436\) 2.18634 25.9559i 0.104706 1.24306i
\(437\) 5.51053 1.61101i 0.263604 0.0770648i
\(438\) 10.0483 24.3944i 0.480126 1.16561i
\(439\) 16.4599 4.35345i 0.785589 0.207779i 0.159155 0.987254i \(-0.449123\pi\)
0.626434 + 0.779475i \(0.284514\pi\)
\(440\) 24.1544 + 27.6779i 1.15152 + 1.31949i
\(441\) 11.1289 17.4337i 0.529946 0.830177i
\(442\) −1.79722 + 92.6642i −0.0854851 + 4.40759i
\(443\) −0.117305 + 1.06316i −0.00557331 + 0.0505123i −0.996434 0.0843785i \(-0.973110\pi\)
0.990860 + 0.134891i \(0.0430684\pi\)
\(444\) −52.8659 + 41.2783i −2.50890 + 1.95898i
\(445\) −0.263745 0.215559i −0.0125027 0.0102185i
\(446\) −19.9617 + 17.1945i −0.945212 + 0.814181i
\(447\) −0.119945 + 0.253172i −0.00567322 + 0.0119746i
\(448\) 1.60638 3.25079i 0.0758942 0.153585i
\(449\) 8.84281 10.1327i 0.417318 0.478194i −0.505833 0.862632i \(-0.668815\pi\)
0.923151 + 0.384438i \(0.125605\pi\)
\(450\) −13.7409 + 31.3570i −0.647751 + 1.47818i
\(451\) 1.53076 + 0.239407i 0.0720809 + 0.0112732i
\(452\) 19.5541 13.5979i 0.919746 0.639593i
\(453\) 28.3074 0.467464i 1.33000 0.0219634i
\(454\) 3.18528 + 6.44598i 0.149493 + 0.302525i
\(455\) −5.66749 1.49898i −0.265696 0.0702734i
\(456\) −6.62144 0.836725i −0.310078 0.0391832i
\(457\) 7.55295 + 3.91632i 0.353312 + 0.183198i 0.627765 0.778403i \(-0.283970\pi\)
−0.274453 + 0.961601i \(0.588497\pi\)
\(458\) 12.6423 + 16.9816i 0.590738 + 0.793499i
\(459\) −21.2683 27.9361i −0.992719 1.30395i
\(460\) −40.4715 + 54.3627i −1.88700 + 2.53467i
\(461\) −16.5988 + 8.06922i −0.773083 + 0.375821i −0.781309 0.624145i \(-0.785447\pi\)
0.00822587 + 0.999966i \(0.497382\pi\)
\(462\) 0.114001 3.96597i 0.00530382 0.184514i
\(463\) 31.9272 6.70011i 1.48378 0.311380i 0.607944 0.793980i \(-0.291995\pi\)
0.875841 + 0.482600i \(0.160307\pi\)
\(464\) −8.34225 + 4.74477i −0.387279 + 0.220270i
\(465\) 3.80700 + 3.34173i 0.176546 + 0.154969i
\(466\) −9.57922 47.1614i −0.443749 2.18471i
\(467\) −23.2357 + 1.80602i −1.07522 + 0.0835728i −0.602871 0.797838i \(-0.705977\pi\)
−0.472350 + 0.881411i \(0.656594\pi\)
\(468\) 52.6948 35.2016i 2.43582 1.62719i
\(469\) −0.380010 3.90685i −0.0175472 0.180401i
\(470\) −32.2048 + 49.6612i −1.48550 + 2.29070i
\(471\) −13.1299 13.8173i −0.604993 0.636668i
\(472\) 36.8161 4.78641i 1.69460 0.220312i
\(473\) 26.9267 + 2.79492i 1.23809 + 0.128510i
\(474\) 4.79864 + 5.90594i 0.220409 + 0.271269i
\(475\) −0.0301183 4.65919i −0.00138192 0.213778i
\(476\) 5.96283 5.41098i 0.273306 0.248012i
\(477\) 30.1240 + 18.9568i 1.37928 + 0.867972i
\(478\) 11.4472 + 21.7320i 0.523582 + 0.993997i
\(479\) 8.43309 + 10.7365i 0.385318 + 0.490564i 0.939845 0.341601i \(-0.110969\pi\)
−0.554527 + 0.832165i \(0.687101\pi\)
\(480\) −13.7138 + 7.86507i −0.625945 + 0.358990i
\(481\) 13.6551 + 59.3218i 0.622621 + 2.70484i
\(482\) −11.4387 + 18.6799i −0.521020 + 0.850845i
\(483\) 3.26971 0.610475i 0.148777 0.0277776i
\(484\) −4.00557 7.14974i −0.182071 0.324988i
\(485\) 20.0884 34.7942i 0.912168 1.57992i
\(486\) −11.3811 + 35.3164i −0.516259 + 1.60198i
\(487\) 6.53064 + 11.3114i 0.295931 + 0.512568i 0.975201 0.221321i \(-0.0710367\pi\)
−0.679270 + 0.733889i \(0.737703\pi\)
\(488\) 23.5173 39.5435i 1.06458 1.79005i
\(489\) −0.390257 38.8373i −0.0176480 1.75629i
\(490\) −24.5205 45.1264i −1.10772 2.03860i
\(491\) 13.5444 12.6140i 0.611252 0.569264i −0.313617 0.949550i \(-0.601541\pi\)
0.924869 + 0.380286i \(0.124174\pi\)
\(492\) 1.14549 3.11924i 0.0516429 0.140626i
\(493\) 30.4781 4.36380i 1.37266 0.196536i
\(494\) −7.10757 + 11.2769i −0.319785 + 0.507373i
\(495\) −16.1467 + 22.6241i −0.725741 + 1.01688i
\(496\) −0.416698 1.92369i −0.0187103 0.0863764i
\(497\) −0.658266 + 0.385745i −0.0295273 + 0.0173030i
\(498\) 5.55507 + 3.32540i 0.248929 + 0.149015i
\(499\) −0.173615 + 0.239612i −0.00777209 + 0.0107265i −0.813645 0.581363i \(-0.802520\pi\)
0.805872 + 0.592089i \(0.201697\pi\)
\(500\) −1.43341 1.87432i −0.0641040 0.0838221i
\(501\) 0.381832 + 0.876535i 0.0170590 + 0.0391607i
\(502\) −27.1805 53.2597i −1.21313 2.37710i
\(503\) 22.3018 15.9404i 0.994388 0.710746i 0.0369299 0.999318i \(-0.488242\pi\)
0.957458 + 0.288572i \(0.0931805\pi\)
\(504\) −3.76877 0.864731i −0.167874 0.0385182i
\(505\) 3.68916 7.71523i 0.164166 0.343323i
\(506\) −31.1874 + 27.5743i −1.38645 + 1.22583i
\(507\) −5.30813 34.5924i −0.235742 1.53630i
\(508\) 0.0512111 7.92217i 0.00227212 0.351490i
\(509\) 7.58894 + 8.47232i 0.336374 + 0.375529i 0.889006 0.457896i \(-0.151397\pi\)
−0.552632 + 0.833426i \(0.686376\pi\)
\(510\) −86.2587 + 12.6660i −3.81960 + 0.560862i
\(511\) −0.147792 + 2.07498i −0.00653795 + 0.0917916i
\(512\) 22.6907 + 2.65217i 1.00280 + 0.117210i
\(513\) −0.542887 5.02054i −0.0239690 0.221662i
\(514\) 5.76228 0.673514i 0.254163 0.0297074i
\(515\) −0.261067 5.76558i −0.0115040 0.254062i
\(516\) 17.1707 55.4624i 0.755897 2.44160i
\(517\) −16.5792 + 16.6868i −0.729154 + 0.733883i
\(518\) 4.53567 6.79999i 0.199286 0.298775i
\(519\) −4.52864 + 3.92921i −0.198785 + 0.172473i
\(520\) −6.00176 71.2522i −0.263195 3.12461i
\(521\) −1.93864 5.02120i −0.0849332 0.219983i 0.883910 0.467657i \(-0.154902\pi\)
−0.968843 + 0.247674i \(0.920334\pi\)
\(522\) −22.1919 23.7952i −0.971315 1.04149i
\(523\) 9.00461 + 26.3170i 0.393744 + 1.15076i 0.947960 + 0.318388i \(0.103142\pi\)
−0.554216 + 0.832373i \(0.686982\pi\)
\(524\) −27.3457 + 1.77014i −1.19460 + 0.0773289i
\(525\) 0.251701 2.68764i 0.0109851 0.117298i
\(526\) −1.35783 7.15823i −0.0592044 0.312114i
\(527\) −1.01602 + 6.23228i −0.0442587 + 0.271482i
\(528\) 10.2725 3.33440i 0.447054 0.145111i
\(529\) −9.59059 7.04403i −0.416982 0.306262i
\(530\) 77.3813 42.6972i 3.36123 1.85465i
\(531\) 9.96643 + 26.2629i 0.432506 + 1.13971i
\(532\) 1.13636 0.223175i 0.0492676 0.00967584i
\(533\) −2.12559 2.13937i −0.0920694 0.0926665i
\(534\) −0.397617 + 0.207982i −0.0172066 + 0.00900025i
\(535\) −5.41147 + 22.1925i −0.233958 + 0.959465i
\(536\) 43.3261 20.3740i 1.87140 0.880024i
\(537\) −24.0938 5.94865i −1.03972 0.256703i
\(538\) −30.4282 + 39.7878i −1.31185 + 1.71537i
\(539\) −5.85377 19.5530i −0.252140 0.842206i
\(540\) 40.8136 + 43.4490i 1.75634 + 1.86975i
\(541\) 9.09384 30.3755i 0.390975 1.30595i −0.505491 0.862832i \(-0.668689\pi\)
0.896465 0.443114i \(-0.146126\pi\)
\(542\) −19.2704 26.5957i −0.827736 1.14238i
\(543\) −5.87758 + 4.11861i −0.252231 + 0.176746i
\(544\) −17.3761 9.29676i −0.744995 0.398595i
\(545\) 7.74075 20.8472i 0.331577 0.892998i
\(546\) −4.74856 + 6.09040i −0.203220 + 0.260645i
\(547\) −10.7338 + 0.277604i −0.458946 + 0.0118695i −0.254636 0.967037i \(-0.581956\pi\)
−0.204309 + 0.978906i \(0.565495\pi\)
\(548\) 80.7075 + 22.4665i 3.44765 + 0.959720i
\(549\) 33.2240 + 10.3908i 1.41797 + 0.443470i
\(550\) 14.5741 + 30.4792i 0.621442 + 1.29964i
\(551\) 4.07730 + 1.72760i 0.173699 + 0.0735983i
\(552\) 20.4110 + 35.0621i 0.868751 + 1.49234i
\(553\) −0.505519 0.323201i −0.0214969 0.0137439i
\(554\) −25.2137 + 17.0543i −1.07123 + 0.724569i
\(555\) −52.9309 + 21.8464i −2.24679 + 0.927326i
\(556\) −31.0535 5.26882i −1.31696 0.223448i
\(557\) −16.6335 + 6.79553i −0.704784 + 0.287936i −0.702118 0.712061i \(-0.747762\pi\)
−0.00266585 + 0.999996i \(0.500849\pi\)
\(558\) 6.01832 2.88296i 0.254776 0.122046i
\(559\) −39.0218 35.4104i −1.65045 1.49770i
\(560\) −1.42967 + 1.59609i −0.0604146 + 0.0674471i
\(561\) −34.5835 2.11422i −1.46012 0.0892626i
\(562\) −6.14810 + 12.0471i −0.259342 + 0.508175i
\(563\) 6.59323 + 44.0190i 0.277871 + 1.85518i 0.481915 + 0.876218i \(0.339941\pi\)
−0.204044 + 0.978962i \(0.565408\pi\)
\(564\) 28.1443 + 41.8688i 1.18509 + 1.76299i
\(565\) 19.1958 6.70694i 0.807572 0.282163i
\(566\) 39.0115 32.7345i 1.63978 1.37593i
\(567\) −0.0230296 2.92556i −0.000967154 0.122862i
\(568\) −7.12882 5.98179i −0.299119 0.250991i
\(569\) 21.6239 + 8.18858i 0.906523 + 0.343283i 0.763026 0.646368i \(-0.223713\pi\)
0.143497 + 0.989651i \(0.454165\pi\)
\(570\) −11.5630 4.85058i −0.484321 0.203168i
\(571\) 1.69640 8.35190i 0.0709922 0.349516i −0.928785 0.370619i \(-0.879146\pi\)
0.999777 + 0.0211027i \(0.00671770\pi\)
\(572\) 7.66133 62.0649i 0.320336 2.59506i
\(573\) 5.25512 + 22.4612i 0.219536 + 0.938329i
\(574\) −0.0130862 + 0.404741i −0.000546206 + 0.0168936i
\(575\) −22.3862 + 17.3506i −0.933567 + 0.723569i
\(576\) 3.90828 + 33.2346i 0.162845 + 1.38477i
\(577\) −24.1110 38.2548i −1.00376 1.59257i −0.787580 0.616212i \(-0.788666\pi\)
−0.216175 0.976355i \(-0.569358\pi\)
\(578\) −44.1841 51.9706i −1.83782 2.16169i
\(579\) 6.98145 27.5115i 0.290139 1.14334i
\(580\) −50.7049 + 12.7118i −2.10540 + 0.527828i
\(581\) −0.498208 0.111295i −0.0206692 0.00461730i
\(582\) −31.7578 42.3405i −1.31640 1.75507i
\(583\) 33.5819 10.2908i 1.39082 0.426200i
\(584\) −24.4436 + 6.80435i −1.01148 + 0.281566i
\(585\) 51.3990 16.8877i 2.12509 0.698219i
\(586\) 5.44307 55.9596i 0.224851 2.31167i
\(587\) 34.3420 + 27.3350i 1.41745 + 1.12824i 0.972561 + 0.232647i \(0.0747387\pi\)
0.444884 + 0.895588i \(0.353245\pi\)
\(588\) −43.5804 + 4.11229i −1.79722 + 0.169588i
\(589\) −0.588258 + 0.691926i −0.0242388 + 0.0285103i
\(590\) 69.0473 + 9.88609i 2.84263 + 0.407004i
\(591\) 9.10678 16.9038i 0.374603 0.695330i
\(592\) 21.5820 + 5.41065i 0.887015 + 0.222376i
\(593\) 3.05303 + 1.53329i 0.125373 + 0.0629646i 0.510380 0.859949i \(-0.329505\pi\)
−0.385007 + 0.922914i \(0.625801\pi\)
\(594\) 19.0537 + 31.2680i 0.781783 + 1.28294i
\(595\) 6.14305 3.08516i 0.251841 0.126479i
\(596\) 0.578649 0.129265i 0.0237024 0.00529489i
\(597\) −6.33628 + 34.0701i −0.259327 + 1.39439i
\(598\) 80.6982 7.32307i 3.29999 0.299463i
\(599\) 3.12354 + 28.3095i 0.127625 + 1.15669i 0.872198 + 0.489154i \(0.162694\pi\)
−0.744573 + 0.667541i \(0.767347\pi\)
\(600\) 31.9079 8.12101i 1.30263 0.331539i
\(601\) −26.1337 2.37154i −1.06601 0.0967370i −0.456665 0.889639i \(-0.650956\pi\)
−0.609349 + 0.792902i \(0.708569\pi\)
\(602\) 0.137204 + 7.07419i 0.00559201 + 0.288322i
\(603\) 22.5799 + 28.3271i 0.919526 + 1.15357i
\(604\) −37.6176 46.6385i −1.53064 1.89770i
\(605\) −1.65751 6.79748i −0.0673875 0.276357i
\(606\) −7.43791 8.46149i −0.302144 0.343725i
\(607\) −16.9051 + 30.1747i −0.686155 + 1.22475i 0.278297 + 0.960495i \(0.410230\pi\)
−0.964452 + 0.264259i \(0.914873\pi\)
\(608\) −1.44878 2.43608i −0.0587558 0.0987960i
\(609\) 2.25069 + 1.23138i 0.0912026 + 0.0498979i
\(610\) 62.4889 59.7234i 2.53010 2.41813i
\(611\) 45.2363 7.07482i 1.83006 0.286217i
\(612\) −18.9500 + 71.8524i −0.766009 + 2.90446i
\(613\) −37.4543 + 22.6038i −1.51276 + 0.912957i −0.514296 + 0.857613i \(0.671947\pi\)
−0.998467 + 0.0553445i \(0.982374\pi\)
\(614\) −29.9364 + 42.4608i −1.20813 + 1.71358i
\(615\) 1.65627 2.30320i 0.0667874 0.0928741i
\(616\) −3.07536 + 2.25877i −0.123910 + 0.0910085i
\(617\) −8.86237 + 19.1669i −0.356786 + 0.771631i 0.643197 + 0.765701i \(0.277608\pi\)
−0.999982 + 0.00592984i \(0.998112\pi\)
\(618\) −7.11996 2.66706i −0.286407 0.107285i
\(619\) 16.4817 + 17.9284i 0.662456 + 0.720603i 0.973218 0.229885i \(-0.0738350\pi\)
−0.310761 + 0.950488i \(0.600584\pi\)
\(620\) 0.623370 10.7028i 0.0250351 0.429837i
\(621\) −22.2374 + 21.1609i −0.892357 + 0.849157i
\(622\) −2.72449 46.7777i −0.109242 1.87562i
\(623\) 0.0246107 0.0254193i 0.000986007 0.00101840i
\(624\) −19.9574 6.60536i −0.798935 0.264426i
\(625\) −9.67223 24.1190i −0.386889 0.964759i
\(626\) −19.6710 55.1525i −0.786213 2.20434i
\(627\) −4.10143 2.83039i −0.163795 0.113035i
\(628\) −5.97562 + 39.8956i −0.238453 + 1.59201i
\(629\) −58.0715 41.5070i −2.31546 1.65499i
\(630\) −6.38565 3.46398i −0.254410 0.138008i
\(631\) 27.4096 + 26.8832i 1.09116 + 1.07020i 0.997212 + 0.0746244i \(0.0237758\pi\)
0.0939476 + 0.995577i \(0.470051\pi\)
\(632\) 1.64167 7.13190i 0.0653022 0.283692i
\(633\) −0.595667 1.96402i −0.0236756 0.0780628i
\(634\) −11.1359 35.5186i −0.442263 1.41062i
\(635\) 1.85589 6.50398i 0.0736488 0.258103i
\(636\) −7.56127 74.9480i −0.299824 2.97188i
\(637\) −13.3462 + 37.4193i −0.528797 + 1.48261i
\(638\) −32.0847 + 1.24503i −1.27024 + 0.0492912i
\(639\) 3.15565 6.29445i 0.124835 0.249005i
\(640\) 60.0229 + 24.5220i 2.37261 + 0.969318i
\(641\) 38.2769 + 23.7807i 1.51185 + 0.939280i 0.996613 + 0.0822309i \(0.0262045\pi\)
0.515234 + 0.857049i \(0.327705\pi\)
\(642\) 24.0856 + 18.0391i 0.950583 + 0.711947i
\(643\) 30.3486 12.8591i 1.19683 0.507112i 0.301910 0.953336i \(-0.402376\pi\)
0.894921 + 0.446224i \(0.147232\pi\)
\(644\) −5.27391 4.66292i −0.207821 0.183745i
\(645\) 26.8203 41.6847i 1.05605 1.64133i
\(646\) −2.51502 15.4271i −0.0989522 0.606971i
\(647\) 11.5152 4.19118i 0.452709 0.164772i −0.105595 0.994409i \(-0.533675\pi\)
0.558304 + 0.829637i \(0.311452\pi\)
\(648\) 33.5155 12.2521i 1.31661 0.481307i
\(649\) 26.0485 + 9.48088i 1.02249 + 0.372157i
\(650\) 12.2554 64.6080i 0.480696 2.53413i
\(651\) −0.379073 + 0.364906i −0.0148570 + 0.0143018i
\(652\) −64.3142 + 51.1918i −2.51874 + 2.00482i
\(653\) −11.8095 18.2108i −0.462141 0.712643i 0.528530 0.848914i \(-0.322743\pi\)
−0.990672 + 0.136271i \(0.956488\pi\)
\(654\) −21.2506 20.1649i −0.830964 0.788510i
\(655\) −22.8961 4.80488i −0.894626 0.187742i
\(656\) −1.04967 + 0.336565i −0.0409829 + 0.0131406i
\(657\) −9.28658 16.8023i −0.362304 0.655522i
\(658\) −4.85936 3.76629i −0.189438 0.146825i
\(659\) −1.91435 + 2.31162i −0.0745727 + 0.0900480i −0.806153 0.591708i \(-0.798454\pi\)
0.731580 + 0.681756i \(0.238783\pi\)
\(660\) 58.7734 2.49167i 2.28775 0.0969880i
\(661\) −30.2888 14.7244i −1.17810 0.572712i −0.258667 0.965967i \(-0.583283\pi\)
−0.919430 + 0.393255i \(0.871349\pi\)
\(662\) −68.8371 + 35.6930i −2.67543 + 1.38725i
\(663\) 51.8180 + 43.1650i 2.01245 + 1.67639i
\(664\) −0.762818 6.17962i −0.0296031 0.239816i
\(665\) 0.985715 + 0.0766158i 0.0382244 + 0.00297103i
\(666\) −0.922132 + 75.4288i −0.0357319 + 2.92281i
\(667\) −6.71449 26.0672i −0.259986 1.00933i
\(668\) 0.966103 1.77797i 0.0373796 0.0687917i
\(669\) 0.688190 + 19.1588i 0.0266070 + 0.740722i
\(670\) 88.6839 15.0469i 3.42616 0.581314i
\(671\) 29.1793 18.1285i 1.12646 0.699844i
\(672\) −0.694503 1.48800i −0.0267911 0.0574008i
\(673\) 11.7175 26.2266i 0.451677 1.01096i −0.534485 0.845178i \(-0.679495\pi\)
0.986162 0.165785i \(-0.0530157\pi\)
\(674\) 18.3201 + 19.4182i 0.705665 + 0.747962i
\(675\) 11.5621 + 22.0664i 0.445025 + 0.849337i
\(676\) −50.8293 + 53.8759i −1.95497 + 2.07215i
\(677\) −10.4020 24.9983i −0.399781 0.960763i −0.988334 0.152304i \(-0.951331\pi\)
0.588552 0.808459i \(-0.299698\pi\)
\(678\) 1.80732 26.7257i 0.0694096 1.02639i
\(679\) 3.42620 + 2.38258i 0.131485 + 0.0914351i
\(680\) 60.6146 + 57.9321i 2.32446 + 2.22159i
\(681\) 5.11014 + 1.12235i 0.195821 + 0.0430084i
\(682\) 1.72494 6.35533i 0.0660514 0.243358i
\(683\) 5.61167 16.4007i 0.214725 0.627557i −0.785240 0.619191i \(-0.787461\pi\)
0.999965 0.00836558i \(-0.00266288\pi\)
\(684\) −7.67312 + 7.43951i −0.293389 + 0.284457i
\(685\) 61.2354 + 36.9558i 2.33969 + 1.41201i
\(686\) 9.84394 4.32195i 0.375843 0.165013i
\(687\) 15.3957 + 0.542171i 0.587384 + 0.0206851i
\(688\) −18.0119 + 6.82077i −0.686697 + 0.260039i
\(689\) −64.5401 22.5501i −2.45878 0.859091i
\(690\) 19.2776 + 73.7450i 0.733885 + 2.80742i
\(691\) 17.6272 + 26.4272i 0.670572 + 1.00534i 0.998167 + 0.0605213i \(0.0192763\pi\)
−0.327595 + 0.944818i \(0.606238\pi\)
\(692\) 12.4514 + 2.44537i 0.473330 + 0.0929591i
\(693\) −2.20091 1.86850i −0.0836058 0.0709783i
\(694\) −26.0109 + 32.2484i −0.987359 + 1.22413i
\(695\) −24.3341 11.4431i −0.923045 0.434061i
\(696\) −4.92425 + 30.9023i −0.186653 + 1.17135i
\(697\) 3.52896 + 0.228437i 0.133669 + 0.00865265i
\(698\) −13.7534 50.6726i −0.520573 1.91799i
\(699\) −31.1454 16.0080i −1.17803 0.605478i
\(700\) −4.81339 + 3.07742i −0.181929 + 0.116315i
\(701\) −9.02423 + 20.9205i −0.340840 + 0.790157i 0.658455 + 0.752620i \(0.271210\pi\)
−0.999295 + 0.0375367i \(0.988049\pi\)
\(702\) 6.13678 71.0070i 0.231618 2.67999i
\(703\) −4.06625 9.42664i −0.153362 0.355532i
\(704\) 27.3531 + 18.5014i 1.03091 + 0.697297i
\(705\) 13.5619 + 40.8792i 0.510769 + 1.53960i
\(706\) 1.24191 3.78885i 0.0467399 0.142595i
\(707\) 0.766393 + 0.449108i 0.0288232 + 0.0168904i
\(708\) 30.8649 50.8115i 1.15997 1.90961i
\(709\) 33.9862 + 11.3838i 1.27638 + 0.427529i 0.873097 0.487547i \(-0.162108\pi\)
0.403282 + 0.915076i \(0.367869\pi\)
\(710\) −9.88906 14.4186i −0.371130 0.541120i
\(711\) 5.53716 0.0396907i 0.207660 0.00148852i
\(712\) 0.392868 + 0.178580i 0.0147234 + 0.00669259i
\(713\) 5.51331 + 0.285367i 0.206475 + 0.0106871i
\(714\) −0.558946 9.03855i −0.0209180 0.338259i
\(715\) 20.5109 49.2921i 0.767062 1.84342i
\(716\) 21.4254 + 47.9552i 0.800704 + 1.79217i
\(717\) 17.5505 + 3.38152i 0.655435 + 0.126285i
\(718\) 0.693817 + 0.394618i 0.0258930 + 0.0147270i
\(719\) −30.4991 9.77913i −1.13742 0.364700i −0.323819 0.946119i \(-0.604967\pi\)
−0.813604 + 0.581419i \(0.802498\pi\)
\(720\) 3.04186 19.5397i 0.113364 0.728201i
\(721\) 0.599037 + 0.0232453i 0.0223093 + 0.000865702i
\(722\) −15.9965 + 39.8894i −0.595328 + 1.48453i
\(723\) 5.40821 + 14.9932i 0.201133 + 0.557601i
\(724\) 14.5229 + 4.45037i 0.539740 + 0.165397i
\(725\) −21.8382 0.564791i −0.811051 0.0209758i
\(726\) −9.09266 1.50924i −0.337460 0.0560131i
\(727\) 19.6683 + 0.254294i 0.729458 + 0.00943123i 0.376766 0.926308i \(-0.377036\pi\)
0.352692 + 0.935739i \(0.385266\pi\)
\(728\) 7.42721 0.275271
\(729\) 14.8843 + 22.5268i 0.551272 + 0.834326i
\(730\) −47.6704 −1.76436
\(731\) 61.7834 + 0.798803i 2.28514 + 0.0295448i
\(732\) −25.8926 68.9750i −0.957020 2.54939i
\(733\) 28.8866 + 0.747079i 1.06695 + 0.0275940i 0.555340 0.831624i \(-0.312588\pi\)
0.511610 + 0.859218i \(0.329049\pi\)
\(734\) 73.8331 + 22.6253i 2.72523 + 0.835113i
\(735\) −36.7848 6.59546i −1.35683 0.243277i
\(736\) −6.41289 + 15.9914i −0.236382 + 0.589450i
\(737\) 35.7211 + 1.38614i 1.31580 + 0.0510592i
\(738\) −1.93326 3.19831i −0.0711643 0.117731i
\(739\) −22.9564 7.36067i −0.844464 0.270767i −0.148562 0.988903i \(-0.547464\pi\)
−0.695902 + 0.718137i \(0.744995\pi\)
\(740\) 105.344 + 59.9157i 3.87252 + 2.20255i
\(741\) 3.17300 + 9.16606i 0.116563 + 0.336724i
\(742\) 3.74469 + 8.38153i 0.137472 + 0.307696i
\(743\) 2.79240 6.71076i 0.102443 0.246194i −0.863795 0.503843i \(-0.831919\pi\)
0.966239 + 0.257649i \(0.0829479\pi\)
\(744\) −5.74542 2.85972i −0.210637 0.104842i
\(745\) 0.505513 + 0.0261652i 0.0185206 + 0.000958618i
\(746\) −27.7091 12.5954i −1.01450 0.461149i
\(747\) 4.41537 1.64300i 0.161550 0.0601143i
\(748\) 41.4760 + 60.4734i 1.51651 + 2.21113i
\(749\) −2.24983 0.753592i −0.0822071 0.0275357i
\(750\) −2.65312 0.0591021i −0.0968784 0.00215811i
\(751\) −1.01156 0.592773i −0.0369122 0.0216306i 0.487016 0.873393i \(-0.338085\pi\)
−0.523928 + 0.851763i \(0.675534\pi\)
\(752\) 5.21267 15.9029i 0.190086 0.579919i
\(753\) −42.6145 8.78356i −1.55296 0.320091i
\(754\) 51.7685 + 35.0157i 1.88530 + 1.27520i
\(755\) −20.2613 46.9711i −0.737386 1.70945i
\(756\) −4.85298 + 3.84557i −0.176501 + 0.139862i
\(757\) 0.590154 1.36813i 0.0214495 0.0497255i −0.907155 0.420797i \(-0.861750\pi\)
0.928604 + 0.371072i \(0.121010\pi\)
\(758\) 3.26028 2.08445i 0.118419 0.0757105i
\(759\) 1.47868 + 30.2560i 0.0536726 + 1.09822i
\(760\) 3.15879 + 11.6382i 0.114581 + 0.422161i
\(761\) 46.3175 + 2.99823i 1.67901 + 0.108686i 0.874428 0.485156i \(-0.161237\pi\)
0.804582 + 0.593841i \(0.202389\pi\)
\(762\) −6.91912 5.61378i −0.250653 0.203366i
\(763\) 2.09029 + 0.982954i 0.0756734 + 0.0355853i
\(764\) 30.6505 38.0007i 1.10890 1.37482i
\(765\) −32.0362 + 54.7575i −1.15827 + 1.97976i
\(766\) −44.9574 8.82935i −1.62438 0.319017i
\(767\) −29.9403 44.8874i −1.08108 1.62079i
\(768\)