Properties

Label 380.2.bb.a.59.13
Level $380$
Weight $2$
Character 380.59
Analytic conductor $3.034$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [380,2,Mod(59,380)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(380, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 9, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("380.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 380.bb (of order \(18\), degree \(6\), 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: \(3.03431527681\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(56\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.13
Character \(\chi\) \(=\) 380.59
Dual form 380.2.bb.a.219.13

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.04981 - 0.947574i) q^{2} +(0.664457 - 0.791869i) q^{3} +(0.204208 + 1.98955i) q^{4} +(-0.681915 - 2.12955i) q^{5} +(-1.44791 + 0.201691i) q^{6} +(1.98367 + 3.43582i) q^{7} +(1.67086 - 2.28215i) q^{8} +(0.335391 + 1.90210i) q^{9} +O(q^{10})\) \(q+(-1.04981 - 0.947574i) q^{2} +(0.664457 - 0.791869i) q^{3} +(0.204208 + 1.98955i) q^{4} +(-0.681915 - 2.12955i) q^{5} +(-1.44791 + 0.201691i) q^{6} +(1.98367 + 3.43582i) q^{7} +(1.67086 - 2.28215i) q^{8} +(0.335391 + 1.90210i) q^{9} +(-1.30203 + 2.88179i) q^{10} +(3.95947 + 2.28600i) q^{11} +(1.71115 + 1.16026i) q^{12} +(1.59714 - 1.34016i) q^{13} +(1.17321 - 5.48664i) q^{14} +(-2.13943 - 0.875008i) q^{15} +(-3.91660 + 0.812561i) q^{16} +(3.02148 + 0.532768i) q^{17} +(1.45028 - 2.31465i) q^{18} +(-2.31915 - 3.69074i) q^{19} +(4.09759 - 1.79157i) q^{20} +(4.03878 + 0.712147i) q^{21} +(-1.99054 - 6.15176i) q^{22} +(-4.89694 - 1.78234i) q^{23} +(-0.696948 - 2.83950i) q^{24} +(-4.06998 + 2.90435i) q^{25} +(-2.94660 - 0.106493i) q^{26} +(4.41473 + 2.54884i) q^{27} +(-6.43065 + 4.64823i) q^{28} +(8.07431 - 1.42372i) q^{29} +(1.41686 + 2.94586i) q^{30} +(-0.128751 - 0.223003i) q^{31} +(4.88165 + 2.85823i) q^{32} +(4.44111 - 1.61643i) q^{33} +(-2.66715 - 3.42238i) q^{34} +(5.96406 - 6.56727i) q^{35} +(-3.71582 + 1.05570i) q^{36} -4.87597 q^{37} +(-1.06258 + 6.07214i) q^{38} -2.15520i q^{39} +(-5.99935 - 2.00196i) q^{40} +(3.49860 - 4.16946i) q^{41} +(-3.56515 - 4.57467i) q^{42} +(-3.50528 + 1.27582i) q^{43} +(-3.73955 + 8.34437i) q^{44} +(3.82191 - 2.01130i) q^{45} +(3.45196 + 6.51133i) q^{46} +(-1.32983 - 7.54185i) q^{47} +(-1.95897 + 3.64135i) q^{48} +(-4.36990 + 7.56889i) q^{49} +(7.02480 + 0.807591i) q^{50} +(2.42953 - 2.03861i) q^{51} +(2.99246 + 2.90391i) q^{52} +(-5.94655 - 2.16437i) q^{53} +(-2.21941 - 6.85908i) q^{54} +(2.16813 - 9.99075i) q^{55} +(11.1555 + 1.21375i) q^{56} +(-4.46356 - 0.615877i) q^{57} +(-9.82559 - 6.15637i) q^{58} +(-0.0505433 + 0.286645i) q^{59} +(1.30398 - 4.43518i) q^{60} +(12.9746 + 4.72236i) q^{61} +(-0.0761478 + 0.356113i) q^{62} +(-5.86996 + 4.92548i) q^{63} +(-2.41643 - 7.62633i) q^{64} +(-3.94305 - 2.48732i) q^{65} +(-6.19402 - 2.51133i) q^{66} +(6.61416 - 1.16625i) q^{67} +(-0.442959 + 6.12017i) q^{68} +(-4.66519 + 2.69345i) q^{69} +(-12.4841 + 1.24301i) q^{70} +(-4.32369 + 1.57370i) q^{71} +(4.90127 + 2.41273i) q^{72} +(-4.91224 + 5.85418i) q^{73} +(5.11885 + 4.62035i) q^{74} +(-0.404465 + 5.15271i) q^{75} +(6.86931 - 5.36773i) q^{76} +18.1387i q^{77} +(-2.04221 + 2.26256i) q^{78} +(-1.37594 - 1.15455i) q^{79} +(4.40118 + 7.78650i) q^{80} +(-0.493133 + 0.179486i) q^{81} +(-7.62374 + 1.06197i) q^{82} +(3.10221 + 5.37319i) q^{83} +(-0.592099 + 8.18078i) q^{84} +(-0.925836 - 6.79770i) q^{85} +(4.88882 + 1.98214i) q^{86} +(4.23764 - 7.33980i) q^{87} +(11.8327 - 5.21651i) q^{88} +(0.410842 + 0.489623i) q^{89} +(-5.91814 - 1.51005i) q^{90} +(7.77274 + 2.82905i) q^{91} +(2.54606 - 10.1067i) q^{92} +(-0.262139 - 0.0462222i) q^{93} +(-5.75039 + 9.17763i) q^{94} +(-6.27816 + 7.45552i) q^{95} +(5.50699 - 1.96646i) q^{96} +(-3.18700 + 18.0744i) q^{97} +(11.7597 - 3.80510i) q^{98} +(-3.02022 + 8.29800i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9} - 15 q^{10} + 18 q^{14} - 6 q^{16} - 42 q^{20} + 12 q^{21} + 12 q^{24} - 12 q^{25} + 18 q^{26} - 24 q^{29} - 24 q^{30} + 12 q^{34} - 6 q^{36} - 48 q^{40} - 12 q^{41} - 36 q^{44} - 6 q^{45} - 18 q^{46} - 108 q^{49} - 36 q^{50} + 36 q^{54} - 30 q^{60} - 24 q^{61} + 18 q^{64} - 18 q^{65} - 48 q^{66} - 180 q^{69} - 21 q^{70} - 30 q^{74} - 48 q^{76} + 3 q^{80} - 60 q^{81} + 90 q^{84} - 36 q^{85} + 102 q^{86} - 48 q^{89} - 78 q^{90} + 24 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.04981 0.947574i −0.742329 0.670036i
\(3\) 0.664457 0.791869i 0.383624 0.457186i −0.539330 0.842094i \(-0.681323\pi\)
0.922955 + 0.384908i \(0.125767\pi\)
\(4\) 0.204208 + 1.98955i 0.102104 + 0.994774i
\(5\) −0.681915 2.12955i −0.304962 0.952365i
\(6\) −1.44791 + 0.201691i −0.591106 + 0.0823400i
\(7\) 1.98367 + 3.43582i 0.749757 + 1.29862i 0.947939 + 0.318452i \(0.103163\pi\)
−0.198182 + 0.980165i \(0.563504\pi\)
\(8\) 1.67086 2.28215i 0.590740 0.806862i
\(9\) 0.335391 + 1.90210i 0.111797 + 0.634032i
\(10\) −1.30203 + 2.88179i −0.411736 + 0.911303i
\(11\) 3.95947 + 2.28600i 1.19382 + 0.689255i 0.959172 0.282824i \(-0.0912712\pi\)
0.234653 + 0.972079i \(0.424605\pi\)
\(12\) 1.71115 + 1.16026i 0.493966 + 0.334939i
\(13\) 1.59714 1.34016i 0.442967 0.371693i −0.393851 0.919174i \(-0.628858\pi\)
0.836818 + 0.547481i \(0.184413\pi\)
\(14\) 1.17321 5.48664i 0.313554 1.46637i
\(15\) −2.13943 0.875008i −0.552398 0.225926i
\(16\) −3.91660 + 0.812561i −0.979150 + 0.203140i
\(17\) 3.02148 + 0.532768i 0.732817 + 0.129215i 0.527590 0.849499i \(-0.323096\pi\)
0.205227 + 0.978714i \(0.434207\pi\)
\(18\) 1.45028 2.31465i 0.341834 0.545568i
\(19\) −2.31915 3.69074i −0.532049 0.846714i
\(20\) 4.09759 1.79157i 0.916250 0.400608i
\(21\) 4.03878 + 0.712147i 0.881335 + 0.155403i
\(22\) −1.99054 6.15176i −0.424385 1.31156i
\(23\) −4.89694 1.78234i −1.02108 0.371644i −0.223404 0.974726i \(-0.571717\pi\)
−0.797679 + 0.603082i \(0.793939\pi\)
\(24\) −0.696948 2.83950i −0.142264 0.579610i
\(25\) −4.06998 + 2.90435i −0.813997 + 0.580870i
\(26\) −2.94660 0.106493i −0.577875 0.0208851i
\(27\) 4.41473 + 2.54884i 0.849615 + 0.490525i
\(28\) −6.43065 + 4.64823i −1.21528 + 0.878433i
\(29\) 8.07431 1.42372i 1.49936 0.264378i 0.637077 0.770800i \(-0.280143\pi\)
0.862286 + 0.506422i \(0.169032\pi\)
\(30\) 1.41686 + 2.94586i 0.258683 + 0.537838i
\(31\) −0.128751 0.223003i −0.0231244 0.0400526i 0.854232 0.519893i \(-0.174028\pi\)
−0.877356 + 0.479840i \(0.840695\pi\)
\(32\) 4.88165 + 2.85823i 0.862962 + 0.505269i
\(33\) 4.44111 1.61643i 0.773098 0.281385i
\(34\) −2.66715 3.42238i −0.457412 0.586934i
\(35\) 5.96406 6.56727i 1.00811 1.11007i
\(36\) −3.71582 + 1.05570i −0.619304 + 0.175950i
\(37\) −4.87597 −0.801605 −0.400803 0.916164i \(-0.631269\pi\)
−0.400803 + 0.916164i \(0.631269\pi\)
\(38\) −1.06258 + 6.07214i −0.172373 + 0.985032i
\(39\) 2.15520i 0.345109i
\(40\) −5.99935 2.00196i −0.948580 0.316537i
\(41\) 3.49860 4.16946i 0.546389 0.651161i −0.420218 0.907423i \(-0.638047\pi\)
0.966607 + 0.256262i \(0.0824910\pi\)
\(42\) −3.56515 4.57467i −0.550114 0.705886i
\(43\) −3.50528 + 1.27582i −0.534550 + 0.194560i −0.595169 0.803601i \(-0.702915\pi\)
0.0606186 + 0.998161i \(0.480693\pi\)
\(44\) −3.73955 + 8.34437i −0.563759 + 1.25796i
\(45\) 3.82191 2.01130i 0.569736 0.299827i
\(46\) 3.45196 + 6.51133i 0.508964 + 0.960044i
\(47\) −1.32983 7.54185i −0.193976 1.10009i −0.913870 0.406007i \(-0.866921\pi\)
0.719894 0.694084i \(-0.244190\pi\)
\(48\) −1.95897 + 3.64135i −0.282753 + 0.525583i
\(49\) −4.36990 + 7.56889i −0.624272 + 1.08127i
\(50\) 7.02480 + 0.807591i 0.993457 + 0.114211i
\(51\) 2.42953 2.03861i 0.340202 0.285463i
\(52\) 2.99246 + 2.90391i 0.414979 + 0.402700i
\(53\) −5.94655 2.16437i −0.816822 0.297299i −0.100383 0.994949i \(-0.532007\pi\)
−0.716439 + 0.697650i \(0.754229\pi\)
\(54\) −2.21941 6.85908i −0.302024 0.933403i
\(55\) 2.16813 9.99075i 0.292351 1.34715i
\(56\) 11.1555 + 1.21375i 1.49072 + 0.162194i
\(57\) −4.46356 0.615877i −0.591212 0.0815748i
\(58\) −9.82559 6.15637i −1.29016 0.808371i
\(59\) −0.0505433 + 0.286645i −0.00658017 + 0.0373180i −0.987921 0.154958i \(-0.950476\pi\)
0.981341 + 0.192276i \(0.0615869\pi\)
\(60\) 1.30398 4.43518i 0.168343 0.572579i
\(61\) 12.9746 + 4.72236i 1.66122 + 0.604636i 0.990555 0.137119i \(-0.0437844\pi\)
0.670670 + 0.741756i \(0.266007\pi\)
\(62\) −0.0761478 + 0.356113i −0.00967078 + 0.0452263i
\(63\) −5.86996 + 4.92548i −0.739545 + 0.620552i
\(64\) −2.41643 7.62633i −0.302053 0.953291i
\(65\) −3.94305 2.48732i −0.489076 0.308514i
\(66\) −6.19402 2.51133i −0.762431 0.309124i
\(67\) 6.61416 1.16625i 0.808048 0.142481i 0.245662 0.969356i \(-0.420995\pi\)
0.562386 + 0.826875i \(0.309884\pi\)
\(68\) −0.442959 + 6.12017i −0.0537167 + 0.742180i
\(69\) −4.66519 + 2.69345i −0.561623 + 0.324253i
\(70\) −12.4841 + 1.24301i −1.49214 + 0.148568i
\(71\) −4.32369 + 1.57370i −0.513128 + 0.186763i −0.585589 0.810608i \(-0.699137\pi\)
0.0724613 + 0.997371i \(0.476915\pi\)
\(72\) 4.90127 + 2.41273i 0.577620 + 0.284343i
\(73\) −4.91224 + 5.85418i −0.574934 + 0.685180i −0.972636 0.232335i \(-0.925364\pi\)
0.397701 + 0.917515i \(0.369808\pi\)
\(74\) 5.11885 + 4.62035i 0.595055 + 0.537104i
\(75\) −0.404465 + 5.15271i −0.0467035 + 0.594984i
\(76\) 6.86931 5.36773i 0.787964 0.615721i
\(77\) 18.1387i 2.06710i
\(78\) −2.04221 + 2.26256i −0.231235 + 0.256184i
\(79\) −1.37594 1.15455i −0.154805 0.129897i 0.562095 0.827073i \(-0.309995\pi\)
−0.716901 + 0.697175i \(0.754440\pi\)
\(80\) 4.40118 + 7.78650i 0.492067 + 0.870557i
\(81\) −0.493133 + 0.179486i −0.0547925 + 0.0199429i
\(82\) −7.62374 + 1.06197i −0.841901 + 0.117275i
\(83\) 3.10221 + 5.37319i 0.340512 + 0.589784i 0.984528 0.175228i \(-0.0560664\pi\)
−0.644016 + 0.765012i \(0.722733\pi\)
\(84\) −0.592099 + 8.18078i −0.0646033 + 0.892596i
\(85\) −0.925836 6.79770i −0.100421 0.737314i
\(86\) 4.88882 + 1.98214i 0.527174 + 0.213740i
\(87\) 4.23764 7.33980i 0.454322 0.786909i
\(88\) 11.8327 5.21651i 1.26137 0.556082i
\(89\) 0.410842 + 0.489623i 0.0435492 + 0.0518999i 0.787379 0.616469i \(-0.211437\pi\)
−0.743830 + 0.668369i \(0.766993\pi\)
\(90\) −5.91814 1.51005i −0.623826 0.159173i
\(91\) 7.77274 + 2.82905i 0.814805 + 0.296565i
\(92\) 2.54606 10.1067i 0.265445 1.05369i
\(93\) −0.262139 0.0462222i −0.0271825 0.00479302i
\(94\) −5.75039 + 9.17763i −0.593107 + 0.946600i
\(95\) −6.27816 + 7.45552i −0.644125 + 0.764920i
\(96\) 5.50699 1.96646i 0.562055 0.200701i
\(97\) −3.18700 + 18.0744i −0.323591 + 1.83517i 0.195807 + 0.980642i \(0.437267\pi\)
−0.519398 + 0.854532i \(0.673844\pi\)
\(98\) 11.7597 3.80510i 1.18791 0.384374i
\(99\) −3.02022 + 8.29800i −0.303544 + 0.833980i
\(100\) −6.60946 7.50433i −0.660946 0.750433i
\(101\) −3.59331 + 3.01515i −0.357548 + 0.300018i −0.803812 0.594883i \(-0.797198\pi\)
0.446265 + 0.894901i \(0.352754\pi\)
\(102\) −4.48228 0.161995i −0.443812 0.0160399i
\(103\) −7.45958 4.30679i −0.735014 0.424361i 0.0852396 0.996360i \(-0.472834\pi\)
−0.820254 + 0.572000i \(0.806168\pi\)
\(104\) −0.389843 5.88414i −0.0382273 0.576987i
\(105\) −1.23756 9.08642i −0.120773 0.886744i
\(106\) 4.19186 + 7.90698i 0.407150 + 0.767994i
\(107\) −10.1060 + 5.83472i −0.976986 + 0.564063i −0.901359 0.433073i \(-0.857429\pi\)
−0.0756275 + 0.997136i \(0.524096\pi\)
\(108\) −4.16953 + 9.30380i −0.401213 + 0.895259i
\(109\) −6.34238 17.4255i −0.607490 1.66906i −0.735692 0.677316i \(-0.763143\pi\)
0.128203 0.991748i \(-0.459079\pi\)
\(110\) −11.7431 + 8.43394i −1.11966 + 0.804145i
\(111\) −3.23988 + 3.86113i −0.307515 + 0.366483i
\(112\) −10.5611 11.8449i −0.997926 1.11924i
\(113\) −0.0574513 −0.00540456 −0.00270228 0.999996i \(-0.500860\pi\)
−0.00270228 + 0.999996i \(0.500860\pi\)
\(114\) 4.10230 + 4.87610i 0.384216 + 0.456689i
\(115\) −0.456287 + 11.6437i −0.0425490 + 1.08578i
\(116\) 4.48139 + 15.7735i 0.416087 + 1.46453i
\(117\) 3.08478 + 2.58844i 0.285188 + 0.239301i
\(118\) 0.324678 0.253030i 0.0298891 0.0232933i
\(119\) 4.16313 + 11.4381i 0.381633 + 1.04853i
\(120\) −5.57160 + 3.42048i −0.508615 + 0.312246i
\(121\) 4.95160 + 8.57642i 0.450145 + 0.779675i
\(122\) −9.14607 17.2520i −0.828047 1.56192i
\(123\) −0.977003 5.54086i −0.0880934 0.499603i
\(124\) 0.417384 0.301695i 0.0374822 0.0270930i
\(125\) 8.96035 + 6.68672i 0.801438 + 0.598078i
\(126\) 10.8296 + 0.391395i 0.964778 + 0.0348682i
\(127\) 4.64726 + 5.53839i 0.412378 + 0.491453i 0.931753 0.363094i \(-0.118279\pi\)
−0.519375 + 0.854547i \(0.673835\pi\)
\(128\) −4.68972 + 10.2959i −0.414516 + 0.910042i
\(129\) −1.31883 + 3.62345i −0.116116 + 0.319027i
\(130\) 1.78255 + 6.34755i 0.156340 + 0.556717i
\(131\) −20.4129 3.59935i −1.78349 0.314477i −0.818056 0.575139i \(-0.804948\pi\)
−0.965430 + 0.260662i \(0.916059\pi\)
\(132\) 4.12288 + 8.50571i 0.358850 + 0.740327i
\(133\) 8.08029 15.2894i 0.700650 1.32576i
\(134\) −8.04873 5.04305i −0.695304 0.435654i
\(135\) 2.41742 11.1395i 0.208059 0.958734i
\(136\) 6.26434 6.00529i 0.537163 0.514949i
\(137\) 6.83556 18.7805i 0.584001 1.60453i −0.197278 0.980348i \(-0.563210\pi\)
0.781279 0.624182i \(-0.214568\pi\)
\(138\) 7.44981 + 1.59300i 0.634170 + 0.135605i
\(139\) 0.375344 + 0.447318i 0.0318363 + 0.0379410i 0.781728 0.623620i \(-0.214339\pi\)
−0.749891 + 0.661561i \(0.769894\pi\)
\(140\) 14.2838 + 10.5247i 1.20720 + 0.889499i
\(141\) −6.85577 3.95818i −0.577360 0.333339i
\(142\) 6.03026 + 2.44494i 0.506048 + 0.205174i
\(143\) 9.38743 1.65526i 0.785016 0.138420i
\(144\) −2.85916 7.17723i −0.238264 0.598102i
\(145\) −8.53789 16.2238i −0.709033 1.34731i
\(146\) 10.7042 1.49107i 0.885886 0.123402i
\(147\) 3.08996 + 8.48960i 0.254856 + 0.700210i
\(148\) −0.995711 9.70098i −0.0818469 0.797416i
\(149\) −11.6884 9.80770i −0.957548 0.803478i 0.0230042 0.999735i \(-0.492677\pi\)
−0.980553 + 0.196257i \(0.937121\pi\)
\(150\) 5.30718 5.02611i 0.433330 0.410380i
\(151\) −5.24500 −0.426832 −0.213416 0.976961i \(-0.568459\pi\)
−0.213416 + 0.976961i \(0.568459\pi\)
\(152\) −12.2978 0.874078i −0.997484 0.0708971i
\(153\) 5.92583i 0.479075i
\(154\) 17.1878 19.0422i 1.38503 1.53446i
\(155\) −0.387100 + 0.426251i −0.0310926 + 0.0342373i
\(156\) 4.28788 0.440109i 0.343305 0.0352369i
\(157\) 3.05158 + 8.38416i 0.243543 + 0.669129i 0.999888 + 0.0149560i \(0.00476082\pi\)
−0.756345 + 0.654173i \(0.773017\pi\)
\(158\) 0.350456 + 2.51587i 0.0278807 + 0.200152i
\(159\) −5.66513 + 3.27076i −0.449274 + 0.259388i
\(160\) 2.75788 12.3448i 0.218029 0.975942i
\(161\) −3.59012 20.3606i −0.282941 1.60464i
\(162\) 0.687772 + 0.278854i 0.0540365 + 0.0219088i
\(163\) 4.03953 6.99668i 0.316401 0.548022i −0.663333 0.748324i \(-0.730859\pi\)
0.979734 + 0.200302i \(0.0641922\pi\)
\(164\) 9.00979 + 6.10919i 0.703546 + 0.477047i
\(165\) −6.47074 8.35531i −0.503746 0.650460i
\(166\) 1.83475 8.58040i 0.142405 0.665968i
\(167\) 2.06631 5.67714i 0.159896 0.439310i −0.833712 0.552200i \(-0.813789\pi\)
0.993608 + 0.112890i \(0.0360107\pi\)
\(168\) 8.37348 8.02721i 0.646028 0.619313i
\(169\) −1.50260 + 8.52166i −0.115584 + 0.655512i
\(170\) −5.46937 + 8.01360i −0.419482 + 0.614615i
\(171\) 6.24232 5.64908i 0.477362 0.431996i
\(172\) −3.25410 6.71339i −0.248123 0.511891i
\(173\) 2.77551 15.7407i 0.211018 1.19674i −0.676666 0.736290i \(-0.736576\pi\)
0.887684 0.460453i \(-0.152313\pi\)
\(174\) −11.4037 + 3.68993i −0.864514 + 0.279733i
\(175\) −18.0523 8.22245i −1.36463 0.621559i
\(176\) −17.3652 5.73604i −1.30895 0.432370i
\(177\) 0.193402 + 0.230487i 0.0145370 + 0.0173245i
\(178\) 0.0326469 0.903315i 0.00244699 0.0677063i
\(179\) 7.75350 13.4294i 0.579523 1.00376i −0.416010 0.909360i \(-0.636572\pi\)
0.995534 0.0944043i \(-0.0300946\pi\)
\(180\) 4.78204 + 7.19314i 0.356432 + 0.536145i
\(181\) −18.9443 + 3.34039i −1.40812 + 0.248289i −0.825475 0.564439i \(-0.809092\pi\)
−0.582643 + 0.812728i \(0.697981\pi\)
\(182\) −5.47918 10.3352i −0.406144 0.766097i
\(183\) 12.3605 7.13636i 0.913718 0.527535i
\(184\) −12.2497 + 8.19751i −0.903059 + 0.604328i
\(185\) 3.32500 + 10.3836i 0.244459 + 0.763420i
\(186\) 0.231398 + 0.296921i 0.0169669 + 0.0217713i
\(187\) 10.7455 + 9.01659i 0.785792 + 0.659358i
\(188\) 14.7333 4.18586i 1.07454 0.305286i
\(189\) 20.2243i 1.47110i
\(190\) 13.6555 1.87787i 0.990677 0.136235i
\(191\) 0.422809i 0.0305934i 0.999883 + 0.0152967i \(0.00486928\pi\)
−0.999883 + 0.0152967i \(0.995131\pi\)
\(192\) −7.64467 3.15387i −0.551706 0.227611i
\(193\) 4.65164 + 3.90319i 0.334832 + 0.280957i 0.794665 0.607048i \(-0.207646\pi\)
−0.459833 + 0.888005i \(0.652091\pi\)
\(194\) 20.4726 15.9548i 1.46984 1.14549i
\(195\) −4.58962 + 1.46967i −0.328669 + 0.105245i
\(196\) −15.9510 7.14850i −1.13936 0.510607i
\(197\) −8.04555 + 4.64510i −0.573222 + 0.330950i −0.758435 0.651748i \(-0.774036\pi\)
0.185213 + 0.982698i \(0.440702\pi\)
\(198\) 11.0336 5.84945i 0.784126 0.415702i
\(199\) 13.8858 2.44844i 0.984336 0.173565i 0.341760 0.939787i \(-0.388977\pi\)
0.642576 + 0.766222i \(0.277866\pi\)
\(200\) −0.172224 + 14.1411i −0.0121780 + 0.999926i
\(201\) 3.47130 6.01247i 0.244847 0.424087i
\(202\) 6.62937 + 0.239593i 0.466441 + 0.0168577i
\(203\) 20.9084 + 24.9177i 1.46748 + 1.74888i
\(204\) 4.55205 + 4.41736i 0.318707 + 0.309277i
\(205\) −11.2648 4.60722i −0.786770 0.321782i
\(206\) 3.75015 + 11.5898i 0.261285 + 0.807501i
\(207\) 1.74780 9.91224i 0.121480 0.688948i
\(208\) −5.16639 + 6.54664i −0.358225 + 0.453928i
\(209\) −0.745561 19.9149i −0.0515715 1.37755i
\(210\) −7.31086 + 10.7117i −0.504497 + 0.739178i
\(211\) −2.65099 + 15.0345i −0.182501 + 1.03502i 0.746622 + 0.665248i \(0.231674\pi\)
−0.929124 + 0.369769i \(0.879437\pi\)
\(212\) 3.09178 12.2729i 0.212345 0.842909i
\(213\) −1.62675 + 4.46945i −0.111463 + 0.306242i
\(214\) 16.1382 + 3.45085i 1.10319 + 0.235896i
\(215\) 5.10723 + 6.59468i 0.348310 + 0.449753i
\(216\) 13.1933 5.81630i 0.897687 0.395749i
\(217\) 0.510799 0.884731i 0.0346753 0.0600594i
\(218\) −9.85369 + 24.3034i −0.667376 + 1.64603i
\(219\) 1.37177 + 7.77970i 0.0926958 + 0.525704i
\(220\) 20.3198 + 2.27342i 1.36996 + 0.153274i
\(221\) 5.53972 3.19836i 0.372642 0.215145i
\(222\) 7.05997 0.983440i 0.473834 0.0660042i
\(223\) −6.03784 16.5888i −0.404324 1.11087i −0.960129 0.279558i \(-0.909812\pi\)
0.555805 0.831313i \(-0.312410\pi\)
\(224\) −0.136773 + 22.4423i −0.00913855 + 1.49949i
\(225\) −6.88939 6.76741i −0.459293 0.451161i
\(226\) 0.0603130 + 0.0544393i 0.00401196 + 0.00362125i
\(227\) 11.4524i 0.760124i 0.924961 + 0.380062i \(0.124097\pi\)
−0.924961 + 0.380062i \(0.875903\pi\)
\(228\) 0.313824 9.00622i 0.0207835 0.596452i
\(229\) −1.48570 −0.0981780 −0.0490890 0.998794i \(-0.515632\pi\)
−0.0490890 + 0.998794i \(0.515632\pi\)
\(230\) 11.5123 11.7913i 0.759097 0.777496i
\(231\) 14.3635 + 12.0524i 0.945047 + 0.792989i
\(232\) 10.2419 20.8056i 0.672416 1.36596i
\(233\) 1.91800 + 5.26965i 0.125652 + 0.345227i 0.986529 0.163587i \(-0.0523065\pi\)
−0.860877 + 0.508814i \(0.830084\pi\)
\(234\) −0.785701 5.64043i −0.0513629 0.368726i
\(235\) −15.1539 + 7.97485i −0.988533 + 0.520222i
\(236\) −0.580615 0.0420232i −0.0377948 0.00273547i
\(237\) −1.82851 + 0.322415i −0.118774 + 0.0209431i
\(238\) 6.46794 15.9527i 0.419255 1.03406i
\(239\) −21.7366 12.5496i −1.40603 0.811769i −0.411023 0.911625i \(-0.634828\pi\)
−0.995002 + 0.0998560i \(0.968162\pi\)
\(240\) 9.09029 + 1.68864i 0.586775 + 0.109001i
\(241\) 2.71066 + 3.23043i 0.174609 + 0.208090i 0.846250 0.532786i \(-0.178855\pi\)
−0.671641 + 0.740876i \(0.734410\pi\)
\(242\) 2.92855 13.6956i 0.188254 0.880388i
\(243\) −5.41607 + 14.8805i −0.347441 + 0.954587i
\(244\) −6.74585 + 26.7779i −0.431859 + 1.71428i
\(245\) 19.0983 + 4.14459i 1.22014 + 0.264788i
\(246\) −4.22471 + 6.74264i −0.269357 + 0.429895i
\(247\) −8.65018 2.78660i −0.550398 0.177307i
\(248\) −0.724053 0.0787789i −0.0459774 0.00500246i
\(249\) 6.31614 + 1.11371i 0.400269 + 0.0705783i
\(250\) −3.07051 15.5104i −0.194196 0.980963i
\(251\) 2.14945 5.90557i 0.135672 0.372756i −0.853188 0.521603i \(-0.825334\pi\)
0.988860 + 0.148847i \(0.0475563\pi\)
\(252\) −10.9982 10.6727i −0.692819 0.672319i
\(253\) −15.3149 18.2515i −0.962837 1.14746i
\(254\) 0.369287 10.2179i 0.0231711 0.641128i
\(255\) −5.99807 3.78364i −0.375614 0.236941i
\(256\) 14.6795 6.36495i 0.917468 0.397809i
\(257\) 3.78461 + 21.4636i 0.236077 + 1.33886i 0.840333 + 0.542070i \(0.182359\pi\)
−0.604256 + 0.796790i \(0.706530\pi\)
\(258\) 4.81801 2.55425i 0.299956 0.159021i
\(259\) −9.67233 16.7530i −0.601009 1.04098i
\(260\) 4.14343 8.35282i 0.256965 0.518020i
\(261\) 5.41611 + 14.8806i 0.335249 + 0.921088i
\(262\) 18.0191 + 23.1214i 1.11322 + 1.42844i
\(263\) −18.5204 15.5405i −1.14202 0.958267i −0.142515 0.989793i \(-0.545519\pi\)
−0.999503 + 0.0315254i \(0.989964\pi\)
\(264\) 3.73155 12.8361i 0.229661 0.790009i
\(265\) −0.554088 + 14.1394i −0.0340374 + 0.868577i
\(266\) −22.9706 + 8.39430i −1.40842 + 0.514688i
\(267\) 0.660704 0.0404344
\(268\) 3.67098 + 12.9210i 0.224241 + 0.789277i
\(269\) 15.2264 18.1461i 0.928370 1.10639i −0.0657210 0.997838i \(-0.520935\pi\)
0.994091 0.108550i \(-0.0346208\pi\)
\(270\) −13.0933 + 9.40367i −0.796834 + 0.572289i
\(271\) −0.387915 1.06579i −0.0235641 0.0647419i 0.927353 0.374188i \(-0.122079\pi\)
−0.950917 + 0.309446i \(0.899856\pi\)
\(272\) −12.2668 + 0.368497i −0.743786 + 0.0223434i
\(273\) 7.40489 4.27522i 0.448164 0.258748i
\(274\) −24.9720 + 13.2388i −1.50861 + 0.799787i
\(275\) −22.7543 + 2.19570i −1.37214 + 0.132406i
\(276\) −6.31141 8.73159i −0.379902 0.525580i
\(277\) −20.3177 11.7304i −1.22077 0.704814i −0.255691 0.966759i \(-0.582303\pi\)
−0.965083 + 0.261944i \(0.915636\pi\)
\(278\) 0.0298261 0.825266i 0.00178885 0.0494962i
\(279\) 0.380992 0.319690i 0.0228094 0.0191394i
\(280\) −5.02237 24.5839i −0.300144 1.46917i
\(281\) 0.855721 2.35107i 0.0510480 0.140253i −0.911548 0.411193i \(-0.865112\pi\)
0.962596 + 0.270940i \(0.0873344\pi\)
\(282\) 3.44660 + 10.6517i 0.205242 + 0.634299i
\(283\) −0.826243 + 4.68586i −0.0491151 + 0.278545i −0.999467 0.0326302i \(-0.989612\pi\)
0.950352 + 0.311176i \(0.100723\pi\)
\(284\) −4.01387 8.28083i −0.238180 0.491377i
\(285\) 1.73223 + 9.92535i 0.102608 + 0.587927i
\(286\) −11.4235 7.15758i −0.675486 0.423236i
\(287\) 21.2656 + 3.74970i 1.25527 + 0.221338i
\(288\) −3.79937 + 10.2440i −0.223880 + 0.603633i
\(289\) −7.12928 2.59484i −0.419369 0.152638i
\(290\) −6.41010 + 25.1222i −0.376414 + 1.47523i
\(291\) 12.1949 + 14.5333i 0.714879 + 0.851959i
\(292\) −12.6503 8.57767i −0.740302 0.501970i
\(293\) −1.26210 + 2.18602i −0.0737325 + 0.127708i −0.900534 0.434785i \(-0.856824\pi\)
0.826802 + 0.562493i \(0.190158\pi\)
\(294\) 4.80064 11.8404i 0.279979 0.690549i
\(295\) 0.644892 0.0878332i 0.0375471 0.00511385i
\(296\) −8.14709 + 11.1277i −0.473540 + 0.646785i
\(297\) 11.6533 + 20.1841i 0.676194 + 1.17120i
\(298\) 2.97706 + 21.3718i 0.172456 + 1.23804i
\(299\) −10.2097 + 3.71603i −0.590443 + 0.214904i
\(300\) −10.3342 + 0.247520i −0.596643 + 0.0142906i
\(301\) −11.3368 9.51271i −0.653443 0.548303i
\(302\) 5.50626 + 4.97003i 0.316850 + 0.285993i
\(303\) 4.84887i 0.278560i
\(304\) 12.0821 + 12.5707i 0.692957 + 0.720979i
\(305\) 1.20895 30.8503i 0.0692240 1.76648i
\(306\) 5.61517 6.22101i 0.320998 0.355631i
\(307\) 12.8740 15.3426i 0.734758 0.875651i −0.261217 0.965280i \(-0.584124\pi\)
0.995975 + 0.0896294i \(0.0285683\pi\)
\(308\) −36.0878 + 3.70406i −2.05629 + 0.211058i
\(309\) −8.36698 + 3.04533i −0.475981 + 0.173243i
\(310\) 0.810286 0.0806779i 0.0460212 0.00458220i
\(311\) −12.0659 + 6.96627i −0.684196 + 0.395021i −0.801434 0.598083i \(-0.795929\pi\)
0.117238 + 0.993104i \(0.462596\pi\)
\(312\) −4.91850 3.60105i −0.278455 0.203869i
\(313\) 2.34444 0.413387i 0.132515 0.0233660i −0.106997 0.994259i \(-0.534124\pi\)
0.239512 + 0.970893i \(0.423012\pi\)
\(314\) 4.74102 11.6934i 0.267551 0.659896i
\(315\) 14.4919 + 9.14162i 0.816525 + 0.515072i
\(316\) 2.01606 2.97327i 0.113412 0.167259i
\(317\) −8.65458 + 7.26205i −0.486090 + 0.407878i −0.852622 0.522528i \(-0.824989\pi\)
0.366533 + 0.930405i \(0.380545\pi\)
\(318\) 9.04660 + 1.93444i 0.507308 + 0.108478i
\(319\) 35.2246 + 12.8207i 1.97220 + 0.717822i
\(320\) −14.5929 + 10.3464i −0.815766 + 0.578382i
\(321\) −2.09469 + 11.8796i −0.116914 + 0.663053i
\(322\) −15.5242 + 24.7767i −0.865130 + 1.38075i
\(323\) −5.04095 12.3871i −0.280486 0.689235i
\(324\) −0.457797 0.944459i −0.0254332 0.0524699i
\(325\) −2.60804 + 10.0931i −0.144668 + 0.559863i
\(326\) −10.8706 + 3.51744i −0.602068 + 0.194813i
\(327\) −18.0130 6.55619i −0.996120 0.362558i
\(328\) −3.66967 14.9509i −0.202624 0.825527i
\(329\) 23.2745 19.5296i 1.28316 1.07670i
\(330\) −1.12422 + 14.9030i −0.0618860 + 0.820383i
\(331\) 14.6407 25.3585i 0.804727 1.39383i −0.111748 0.993737i \(-0.535645\pi\)
0.916475 0.400092i \(-0.131022\pi\)
\(332\) −10.0567 + 7.26924i −0.551934 + 0.398951i
\(333\) −1.63536 9.27458i −0.0896171 0.508244i
\(334\) −7.54874 + 4.00194i −0.413049 + 0.218977i
\(335\) −6.99389 13.2899i −0.382117 0.726105i
\(336\) −16.3970 + 0.492566i −0.894527 + 0.0268717i
\(337\) −15.5806 + 5.67086i −0.848727 + 0.308911i −0.729521 0.683958i \(-0.760257\pi\)
−0.119206 + 0.992870i \(0.538035\pi\)
\(338\) 9.65235 7.52231i 0.525018 0.409160i
\(339\) −0.0381739 + 0.0454939i −0.00207332 + 0.00247089i
\(340\) 13.3353 3.23014i 0.723207 0.175179i
\(341\) 1.17730i 0.0637544i
\(342\) −11.9062 + 0.0154106i −0.643813 + 0.000833311i
\(343\) −6.90241 −0.372695
\(344\) −2.94524 + 10.1313i −0.158797 + 0.546243i
\(345\) 8.91710 + 8.09806i 0.480080 + 0.435985i
\(346\) −17.8292 + 13.8948i −0.958506 + 0.746987i
\(347\) 10.6119 3.86241i 0.569675 0.207345i −0.0410915 0.999155i \(-0.513084\pi\)
0.610767 + 0.791811i \(0.290861\pi\)
\(348\) 15.4682 + 6.93214i 0.829185 + 0.371601i
\(349\) 13.5944 + 23.5462i 0.727691 + 1.26040i 0.957857 + 0.287247i \(0.0927400\pi\)
−0.230165 + 0.973152i \(0.573927\pi\)
\(350\) 11.1602 + 25.7379i 0.596535 + 1.37575i
\(351\) 10.4668 1.84558i 0.558676 0.0985097i
\(352\) 12.7948 + 22.4765i 0.681967 + 1.19800i
\(353\) 5.58477 + 3.22437i 0.297247 + 0.171616i 0.641206 0.767369i \(-0.278435\pi\)
−0.343958 + 0.938985i \(0.611768\pi\)
\(354\) 0.0153683 0.425230i 0.000816817 0.0226007i
\(355\) 6.29966 + 8.13440i 0.334351 + 0.431729i
\(356\) −0.890230 + 0.917374i −0.0471821 + 0.0486207i
\(357\) 11.8237 + 4.30347i 0.625776 + 0.227764i
\(358\) −20.8651 + 6.75138i −1.10275 + 0.356821i
\(359\) 21.8079 + 3.84532i 1.15098 + 0.202948i 0.716402 0.697688i \(-0.245788\pi\)
0.434574 + 0.900636i \(0.356899\pi\)
\(360\) 1.79579 12.0828i 0.0946464 0.636818i
\(361\) −8.24311 + 17.1187i −0.433848 + 0.900986i
\(362\) 23.0532 + 14.4443i 1.21165 + 0.759177i
\(363\) 10.0815 + 1.77765i 0.529143 + 0.0933022i
\(364\) −4.04127 + 16.0420i −0.211820 + 0.840827i
\(365\) 15.8165 + 6.46882i 0.827874 + 0.338593i
\(366\) −19.7385 4.22069i −1.03175 0.220619i
\(367\) −16.5138 + 13.8568i −0.862016 + 0.723317i −0.962401 0.271631i \(-0.912437\pi\)
0.100386 + 0.994949i \(0.467992\pi\)
\(368\) 20.6276 + 3.00165i 1.07529 + 0.156472i
\(369\) 9.10412 + 5.25627i 0.473942 + 0.273630i
\(370\) 6.34864 14.0515i 0.330050 0.730505i
\(371\) −4.35963 24.7247i −0.226341 1.28364i
\(372\) 0.0384305 0.530977i 0.00199253 0.0275299i
\(373\) 14.6160 + 25.3156i 0.756787 + 1.31079i 0.944481 + 0.328565i \(0.106565\pi\)
−0.187695 + 0.982227i \(0.560102\pi\)
\(374\) −2.73692 19.6479i −0.141523 1.01597i
\(375\) 11.2488 2.65238i 0.580884 0.136969i
\(376\) −19.4336 9.56653i −1.00221 0.493356i
\(377\) 10.9878 13.0947i 0.565900 0.674414i
\(378\) 19.1640 21.2317i 0.985689 1.09204i
\(379\) −7.88618 −0.405086 −0.202543 0.979273i \(-0.564921\pi\)
−0.202543 + 0.979273i \(0.564921\pi\)
\(380\) −16.1152 10.9682i −0.826690 0.562658i
\(381\) 7.47359 0.382884
\(382\) 0.400643 0.443870i 0.0204987 0.0227104i
\(383\) −3.42713 + 4.08430i −0.175118 + 0.208698i −0.846463 0.532447i \(-0.821272\pi\)
0.671345 + 0.741145i \(0.265717\pi\)
\(384\) 5.03693 + 10.5549i 0.257040 + 0.538625i
\(385\) 38.6273 12.3691i 1.96863 0.630386i
\(386\) −1.18478 8.50538i −0.0603039 0.432912i
\(387\) −3.60237 6.23949i −0.183119 0.317171i
\(388\) −36.6106 2.64976i −1.85862 0.134521i
\(389\) 4.33138 + 24.5645i 0.219610 + 1.24547i 0.872726 + 0.488211i \(0.162350\pi\)
−0.653116 + 0.757258i \(0.726539\pi\)
\(390\) 6.21085 + 2.80613i 0.314499 + 0.142094i
\(391\) −13.8464 7.99424i −0.700244 0.404286i
\(392\) 9.97185 + 22.6194i 0.503654 + 1.14245i
\(393\) −16.4137 + 13.7728i −0.827963 + 0.694744i
\(394\) 12.8479 + 2.74728i 0.647267 + 0.138406i
\(395\) −1.52040 + 3.71744i −0.0764997 + 0.187045i
\(396\) −17.1260 4.31437i −0.860615 0.216805i
\(397\) −2.57500 0.454043i −0.129236 0.0227877i 0.108656 0.994079i \(-0.465345\pi\)
−0.237892 + 0.971292i \(0.576456\pi\)
\(398\) −16.8975 10.5874i −0.846996 0.530698i
\(399\) −6.73819 16.5577i −0.337331 0.828920i
\(400\) 13.5805 14.6823i 0.679026 0.734114i
\(401\) 4.45669 + 0.785835i 0.222557 + 0.0392427i 0.283814 0.958879i \(-0.408400\pi\)
−0.0612577 + 0.998122i \(0.519511\pi\)
\(402\) −9.34147 + 3.02265i −0.465910 + 0.150756i
\(403\) −0.504493 0.183621i −0.0251306 0.00914679i
\(404\) −6.73256 6.53335i −0.334957 0.325046i
\(405\) 0.718499 + 0.927758i 0.0357025 + 0.0461007i
\(406\) 1.66145 45.9712i 0.0824565 2.28151i
\(407\) −19.3063 11.1465i −0.956976 0.552511i
\(408\) −0.593019 8.95079i −0.0293588 0.443130i
\(409\) −17.8969 + 3.15570i −0.884944 + 0.156040i −0.597606 0.801790i \(-0.703881\pi\)
−0.287338 + 0.957829i \(0.592770\pi\)
\(410\) 7.46027 + 15.5110i 0.368437 + 0.766032i
\(411\) −10.3298 17.8917i −0.509531 0.882534i
\(412\) 7.04526 15.7207i 0.347095 0.774501i
\(413\) −1.08512 + 0.394952i −0.0533954 + 0.0194343i
\(414\) −11.2274 + 8.74981i −0.551798 + 0.430030i
\(415\) 9.32703 10.2704i 0.457846 0.504153i
\(416\) 11.6272 1.97720i 0.570069 0.0969400i
\(417\) 0.603618 0.0295593
\(418\) −18.0882 + 21.6134i −0.884722 + 1.05715i
\(419\) 1.56858i 0.0766301i 0.999266 + 0.0383151i \(0.0121990\pi\)
−0.999266 + 0.0383151i \(0.987801\pi\)
\(420\) 17.8252 4.31769i 0.869778 0.210682i
\(421\) 8.20836 9.78234i 0.400051 0.476762i −0.527985 0.849254i \(-0.677052\pi\)
0.928035 + 0.372492i \(0.121497\pi\)
\(422\) 17.0293 13.2714i 0.828974 0.646040i
\(423\) 13.8993 5.05894i 0.675808 0.245974i
\(424\) −14.8753 + 9.95457i −0.722408 + 0.483437i
\(425\) −13.8447 + 6.60707i −0.671567 + 0.320490i
\(426\) 5.94292 3.15062i 0.287935 0.152648i
\(427\) 9.51212 + 53.9459i 0.460324 + 2.61063i
\(428\) −13.6722 18.9149i −0.660869 0.914288i
\(429\) 4.92680 8.53346i 0.237868 0.411999i
\(430\) 0.887321 11.7626i 0.0427904 0.567245i
\(431\) −21.4377 + 17.9884i −1.03262 + 0.866469i −0.991160 0.132671i \(-0.957645\pi\)
−0.0414579 + 0.999140i \(0.513200\pi\)
\(432\) −19.3618 6.39556i −0.931545 0.307707i
\(433\) −7.43239 2.70517i −0.357178 0.130002i 0.157198 0.987567i \(-0.449754\pi\)
−0.514375 + 0.857565i \(0.671976\pi\)
\(434\) −1.37459 + 0.444780i −0.0659825 + 0.0213501i
\(435\) −18.5202 4.01914i −0.887975 0.192703i
\(436\) 33.3738 16.1769i 1.59831 0.774732i
\(437\) 4.77857 + 22.2068i 0.228590 + 1.06230i
\(438\) 5.93174 9.46708i 0.283430 0.452354i
\(439\) 5.70310 32.3439i 0.272194 1.54369i −0.475541 0.879693i \(-0.657748\pi\)
0.747735 0.663997i \(-0.231141\pi\)
\(440\) −19.1778 21.6412i −0.914264 1.03170i
\(441\) −15.8624 5.77344i −0.755352 0.274926i
\(442\) −8.84634 1.89162i −0.420778 0.0899752i
\(443\) −27.1882 + 22.8136i −1.29175 + 1.08391i −0.300241 + 0.953864i \(0.597067\pi\)
−0.991508 + 0.130043i \(0.958489\pi\)
\(444\) −8.34352 5.65741i −0.395966 0.268489i
\(445\) 0.762517 1.20879i 0.0361468 0.0573022i
\(446\) −9.38055 + 23.1365i −0.444182 + 1.09554i
\(447\) −15.5328 + 2.73886i −0.734678 + 0.129544i
\(448\) 21.4093 23.4305i 1.01149 1.10699i
\(449\) −17.0572 + 9.84799i −0.804980 + 0.464755i −0.845210 0.534435i \(-0.820524\pi\)
0.0402295 + 0.999190i \(0.487191\pi\)
\(450\) 0.819938 + 13.6327i 0.0386523 + 0.642652i
\(451\) 23.3840 8.51107i 1.10111 0.400771i
\(452\) −0.0117320 0.114302i −0.000551826 0.00537632i
\(453\) −3.48508 + 4.15335i −0.163743 + 0.195142i
\(454\) 10.8520 12.0229i 0.509310 0.564262i
\(455\) 0.724249 18.4816i 0.0339533 0.866432i
\(456\) −8.86352 + 9.15746i −0.415072 + 0.428838i
\(457\) 7.37551i 0.345012i −0.985008 0.172506i \(-0.944814\pi\)
0.985008 0.172506i \(-0.0551864\pi\)
\(458\) 1.55971 + 1.40781i 0.0728803 + 0.0657828i
\(459\) 11.9811 + 10.0533i 0.559228 + 0.469248i
\(460\) −23.2589 + 1.46993i −1.08445 + 0.0685356i
\(461\) −6.47105 + 2.35527i −0.301387 + 0.109696i −0.488287 0.872683i \(-0.662378\pi\)
0.186900 + 0.982379i \(0.440156\pi\)
\(462\) −3.65841 26.2632i −0.170205 1.22187i
\(463\) 2.35608 + 4.08086i 0.109497 + 0.189654i 0.915566 0.402167i \(-0.131743\pi\)
−0.806070 + 0.591820i \(0.798409\pi\)
\(464\) −30.4670 + 12.1370i −1.41439 + 0.563447i
\(465\) 0.0803241 + 0.589758i 0.00372494 + 0.0273494i
\(466\) 2.97985 7.34959i 0.138039 0.340463i
\(467\) 13.1780 22.8250i 0.609807 1.05622i −0.381465 0.924383i \(-0.624580\pi\)
0.991272 0.131833i \(-0.0420862\pi\)
\(468\) −4.51988 + 6.66589i −0.208932 + 0.308131i
\(469\) 17.1274 + 20.4116i 0.790868 + 0.942519i
\(470\) 23.4655 + 5.98738i 1.08238 + 0.276177i
\(471\) 8.66680 + 3.15446i 0.399345 + 0.145350i
\(472\) 0.569717 + 0.594292i 0.0262233 + 0.0273545i
\(473\) −16.7956 2.96151i −0.772261 0.136170i
\(474\) 2.22510 + 1.39417i 0.102202 + 0.0640364i
\(475\) 20.1581 + 8.28563i 0.924916 + 0.380171i
\(476\) −21.9065 + 10.6185i −1.00408 + 0.486697i
\(477\) 2.12242 12.0368i 0.0971789 0.551129i
\(478\) 10.9276 + 33.7718i 0.499818 + 1.54469i
\(479\) −6.46310 + 17.7572i −0.295307 + 0.811348i 0.699961 + 0.714181i \(0.253201\pi\)
−0.995268 + 0.0971677i \(0.969022\pi\)
\(480\) −7.94298 10.3865i −0.362546 0.474075i
\(481\) −7.78761 + 6.53458i −0.355085 + 0.297951i
\(482\) 0.215398 5.95989i 0.00981109 0.271466i
\(483\) −18.5084 10.6858i −0.842161 0.486222i
\(484\) −16.0520 + 11.6028i −0.729638 + 0.527400i
\(485\) 40.6636 5.53831i 1.84644 0.251482i
\(486\) 19.7863 10.4896i 0.897523 0.475819i
\(487\) 29.3650 16.9539i 1.33065 0.768253i 0.345254 0.938509i \(-0.387793\pi\)
0.985400 + 0.170256i \(0.0544595\pi\)
\(488\) 32.4559 21.7195i 1.46921 0.983197i
\(489\) −2.85636 7.84778i −0.129169 0.354889i
\(490\) −16.1223 22.4480i −0.728330 1.01410i
\(491\) 23.7768 28.3361i 1.07303 1.27879i 0.114618 0.993410i \(-0.463436\pi\)
0.958414 0.285380i \(-0.0921198\pi\)
\(492\) 10.8243 3.07528i 0.487997 0.138644i
\(493\) 25.1549 1.13292
\(494\) 6.44055 + 11.1221i 0.289774 + 0.500406i
\(495\) 19.7306 + 0.773191i 0.886823 + 0.0347524i
\(496\) 0.685470 + 0.768796i 0.0307785 + 0.0345200i
\(497\) −13.9837 11.7337i −0.627256 0.526330i
\(498\) −5.57544 7.15420i −0.249841 0.320587i
\(499\) 14.0038 + 38.4750i 0.626894 + 1.72238i 0.689447 + 0.724336i \(0.257854\pi\)
−0.0625524 + 0.998042i \(0.519924\pi\)
\(500\) −11.4738 + 19.1925i −0.513123 + 0.858315i
\(501\) −3.12258 5.40846i −0.139506 0.241632i
\(502\) −7.85248 + 4.16297i −0.350473 + 0.185802i
\(503\) −1.93511 10.9746i −0.0862825 0.489332i −0.997072 0.0764623i \(-0.975638\pi\)
0.910790 0.412870i \(-0.135474\pi\)
\(504\) 1.43279 + 21.6259i 0.0638214 + 0.963296i
\(505\) 8.87124 + 5.59607i 0.394765 + 0.249022i
\(506\) −1.21697 + 33.6726i −0.0541008 + 1.49693i
\(507\) 5.74963 + 6.85214i 0.255350 + 0.304314i
\(508\) −10.0699 + 10.3769i −0.446779 + 0.460402i
\(509\) 9.13289 25.0924i 0.404808 1.11220i −0.555075 0.831801i \(-0.687310\pi\)
0.959883 0.280401i \(-0.0904675\pi\)
\(510\) 2.71156 + 9.65572i 0.120070 + 0.427562i
\(511\) −29.8582 5.26480i −1.32085 0.232901i
\(512\) −21.4420 7.22790i −0.947609 0.319431i
\(513\) −0.831285 22.2047i −0.0367021 0.980364i
\(514\) 16.3652 26.1189i 0.721838 1.15205i
\(515\) −4.08473 + 18.8224i −0.179995 + 0.829415i
\(516\) −7.47834 1.88394i −0.329216 0.0829356i
\(517\) 11.9752 32.9017i 0.526671 1.44702i
\(518\) −5.72055 + 26.7527i −0.251347 + 1.17545i
\(519\) −10.6204 12.6569i −0.466182 0.555574i
\(520\) −12.2647 + 4.84268i −0.537844 + 0.212365i
\(521\) −24.2785 14.0172i −1.06366 0.614105i −0.137218 0.990541i \(-0.543816\pi\)
−0.926443 + 0.376436i \(0.877150\pi\)
\(522\) 8.41461 20.7540i 0.368297 0.908378i
\(523\) 11.0297 1.94483i 0.482294 0.0850414i 0.0727853 0.997348i \(-0.476811\pi\)
0.409509 + 0.912306i \(0.365700\pi\)
\(524\) 2.99260 41.3475i 0.130733 1.80627i
\(525\) −18.5061 + 8.83161i −0.807672 + 0.385443i
\(526\) 4.71720 + 33.8640i 0.205680 + 1.47654i
\(527\) −0.270210 0.742395i −0.0117705 0.0323392i
\(528\) −16.0806 + 9.93959i −0.699818 + 0.432565i
\(529\) 3.18427 + 2.67192i 0.138446 + 0.116170i
\(530\) 13.9798 14.3187i 0.607245 0.621964i
\(531\) −0.562179 −0.0243965
\(532\) 32.0690 + 12.9539i 1.39037 + 0.561623i
\(533\) 11.3479i 0.491532i
\(534\) −0.693614 0.626066i −0.0300156 0.0270925i
\(535\) 19.3168 + 17.5425i 0.835138 + 0.758429i
\(536\) 8.38979 17.0432i 0.362384 0.736152i
\(537\) −5.48250 15.0630i −0.236587 0.650018i
\(538\) −33.1796 + 4.62186i −1.43048 + 0.199263i
\(539\) −34.6050 + 19.9792i −1.49054 + 0.860565i
\(540\) 22.6562 + 2.53481i 0.974967 + 0.109081i
\(541\) 2.40757 + 13.6540i 0.103509 + 0.587031i 0.991805 + 0.127759i \(0.0407785\pi\)
−0.888296 + 0.459272i \(0.848110\pi\)
\(542\) −0.602674 + 1.48645i −0.0258871 + 0.0638486i
\(543\) −9.94251 + 17.2209i −0.426674 + 0.739021i
\(544\) 13.2270 + 11.2369i 0.567104 + 0.481777i
\(545\) −32.7836 + 25.3892i −1.40430 + 1.08755i
\(546\) −11.8248 2.52851i −0.506056 0.108210i
\(547\) −0.202171 + 0.555462i −0.00864423 + 0.0237498i −0.943940 0.330118i \(-0.892911\pi\)
0.935295 + 0.353868i \(0.115134\pi\)
\(548\) 38.7606 + 9.76454i 1.65577 + 0.417120i
\(549\) −4.63083 + 26.2627i −0.197639 + 1.12087i
\(550\) 25.9683 + 19.2563i 1.10729 + 0.821092i
\(551\) −23.9801 26.4984i −1.02159 1.12887i
\(552\) −1.64804 + 15.1470i −0.0701452 + 0.644701i
\(553\) 1.23742 7.01774i 0.0526203 0.298425i
\(554\) 10.2143 + 31.5673i 0.433965 + 1.34117i
\(555\) 10.4318 + 4.26652i 0.442806 + 0.181104i
\(556\) −0.813312 + 0.838111i −0.0344921 + 0.0355438i
\(557\) −9.63929 11.4877i −0.408430 0.486748i 0.522141 0.852859i \(-0.325133\pi\)
−0.930571 + 0.366111i \(0.880689\pi\)
\(558\) −0.702900 0.0254036i −0.0297561 0.00107542i
\(559\) −3.88862 + 6.73529i −0.164471 + 0.284873i
\(560\) −18.0225 + 30.5675i −0.761590 + 1.29171i
\(561\) 14.2799 2.51793i 0.602898 0.106307i
\(562\) −3.12616 + 1.65732i −0.131869 + 0.0699100i
\(563\) 10.0719 5.81500i 0.424479 0.245073i −0.272513 0.962152i \(-0.587855\pi\)
0.696992 + 0.717079i \(0.254521\pi\)
\(564\) 6.47499 14.4482i 0.272646 0.608378i
\(565\) 0.0391769 + 0.122346i 0.00164819 + 0.00514711i
\(566\) 5.30760 4.13634i 0.223095 0.173863i
\(567\) −1.59489 1.33827i −0.0669793 0.0562023i
\(568\) −3.63289 + 12.4968i −0.152433 + 0.524352i
\(569\) 34.7145i 1.45531i −0.685945 0.727654i \(-0.740611\pi\)
0.685945 0.727654i \(-0.259389\pi\)
\(570\) 7.58649 12.0612i 0.317763 0.505186i
\(571\) 17.7069i 0.741009i 0.928831 + 0.370505i \(0.120815\pi\)
−0.928831 + 0.370505i \(0.879185\pi\)
\(572\) 5.21020 + 18.3387i 0.217849 + 0.766781i
\(573\) 0.334810 + 0.280939i 0.0139869 + 0.0117364i
\(574\) −18.7717 24.0872i −0.783517 1.00538i
\(575\) 25.1070 6.96833i 1.04703 0.290599i
\(576\) 13.6956 7.15408i 0.570649 0.298087i
\(577\) 32.1774 18.5777i 1.33956 0.773398i 0.352822 0.935691i \(-0.385222\pi\)
0.986743 + 0.162293i \(0.0518890\pi\)
\(578\) 5.02559 + 9.47961i 0.209037 + 0.394300i
\(579\) 6.18163 1.08999i 0.256900 0.0452983i
\(580\) 30.5346 20.2996i 1.26788 0.842893i
\(581\) −12.3075 + 21.3173i −0.510602 + 0.884389i
\(582\) 0.969048 26.8128i 0.0401683 1.11143i
\(583\) −18.5975 22.1636i −0.770228 0.917922i
\(584\) 5.15244 + 20.9920i 0.213209 + 0.868656i
\(585\) 3.40865 8.33429i 0.140930 0.344581i
\(586\) 3.39638 1.09897i 0.140303 0.0453982i
\(587\) 2.19964 12.4748i 0.0907889 0.514889i −0.905168 0.425054i \(-0.860255\pi\)
0.995957 0.0898349i \(-0.0286339\pi\)
\(588\) −16.2595 + 7.88126i −0.670529 + 0.325018i
\(589\) −0.524454 + 0.992364i −0.0216098 + 0.0408896i
\(590\) −0.760243 0.518874i −0.0312987 0.0213617i
\(591\) −1.66761 + 9.45750i −0.0685964 + 0.389029i
\(592\) 19.0972 3.96203i 0.784892 0.162838i
\(593\) −1.55303 + 4.26691i −0.0637752 + 0.175221i −0.967487 0.252920i \(-0.918609\pi\)
0.903712 + 0.428141i \(0.140831\pi\)
\(594\) 6.89218 32.2319i 0.282789 1.32249i
\(595\) 21.5191 16.6654i 0.882198 0.683215i
\(596\) 17.1260 25.2574i 0.701510 1.03458i
\(597\) 7.28766 12.6226i 0.298264 0.516608i
\(598\) 14.2395 + 5.77333i 0.582296 + 0.236089i
\(599\) 0.980322 + 5.55968i 0.0400549 + 0.227162i 0.998263 0.0589082i \(-0.0187619\pi\)
−0.958209 + 0.286071i \(0.907651\pi\)
\(600\) 11.0835 + 9.53252i 0.452480 + 0.389164i
\(601\) −33.5942 + 19.3956i −1.37034 + 0.791164i −0.990970 0.134083i \(-0.957191\pi\)
−0.379366 + 0.925247i \(0.623858\pi\)
\(602\) 2.88751 + 20.7290i 0.117686 + 0.844851i
\(603\) 4.43666 + 12.1896i 0.180675 + 0.496400i
\(604\) −1.07107 10.4352i −0.0435812 0.424601i
\(605\) 14.8874 16.3931i 0.605257 0.666473i
\(606\) 4.59466 5.09039i 0.186645 0.206783i
\(607\) 4.10304i 0.166537i 0.996527 + 0.0832686i \(0.0265359\pi\)
−0.996527 + 0.0832686i \(0.973464\pi\)
\(608\) −0.772285 24.6456i −0.0313203 0.999509i
\(609\) 33.6243 1.36253
\(610\) −30.5021 + 31.2414i −1.23499 + 1.26493i
\(611\) −12.2312 10.2632i −0.494822 0.415205i
\(612\) −11.7897 + 1.21010i −0.476572 + 0.0489154i
\(613\) 10.9979 + 30.2165i 0.444202 + 1.22043i 0.936704 + 0.350123i \(0.113860\pi\)
−0.492502 + 0.870312i \(0.663917\pi\)
\(614\) −28.0536 + 3.90781i −1.13215 + 0.157706i
\(615\) −11.1333 + 5.85898i −0.448939 + 0.236257i
\(616\) 41.3952 + 30.3073i 1.66786 + 1.22112i
\(617\) 24.8937 4.38943i 1.00218 0.176712i 0.351602 0.936150i \(-0.385637\pi\)
0.650580 + 0.759438i \(0.274526\pi\)
\(618\) 11.6694 + 4.73131i 0.469413 + 0.190321i
\(619\) 14.5190 + 8.38253i 0.583567 + 0.336922i 0.762550 0.646930i \(-0.223947\pi\)
−0.178983 + 0.983852i \(0.557281\pi\)
\(620\) −0.927096 0.683110i −0.0372331 0.0274343i
\(621\) −17.0757 20.3501i −0.685226 0.816621i
\(622\) 19.2680 + 4.12009i 0.772576 + 0.165201i
\(623\) −0.867279 + 2.38283i −0.0347468 + 0.0954660i
\(624\) 1.75123 + 8.44107i 0.0701055 + 0.337913i
\(625\) 8.12952 23.6413i 0.325181 0.945652i
\(626\) −2.85293 1.78755i −0.114026 0.0714448i
\(627\) −16.2654 12.6422i −0.649578 0.504882i
\(628\) −16.0575 + 7.78338i −0.640765 + 0.310591i
\(629\) −14.7327 2.59777i −0.587430 0.103580i
\(630\) −6.55138 23.3291i −0.261013 0.929453i
\(631\) −6.84502 + 18.8065i −0.272496 + 0.748677i 0.725664 + 0.688049i \(0.241533\pi\)
−0.998160 + 0.0606280i \(0.980690\pi\)
\(632\) −4.93387 + 1.21101i −0.196259 + 0.0481713i
\(633\) 10.1439 + 12.0890i 0.403183 + 0.480495i
\(634\) 15.9670 + 0.577066i 0.634131 + 0.0229182i
\(635\) 8.62526 13.6733i 0.342283 0.542609i
\(636\) −7.66420 10.6031i −0.303905 0.420441i
\(637\) 3.16418 + 17.9449i 0.125369 + 0.711005i
\(638\) −24.8306 46.8373i −0.983054 1.85431i
\(639\) −4.44345 7.69628i −0.175780 0.304460i
\(640\) 25.1237 + 2.96603i 0.993103 + 0.117242i
\(641\) 9.77899 + 26.8676i 0.386247 + 1.06120i 0.968677 + 0.248324i \(0.0798797\pi\)
−0.582430 + 0.812881i \(0.697898\pi\)
\(642\) 13.4558 10.4864i 0.531058 0.413867i
\(643\) 2.49978 + 2.09757i 0.0985819 + 0.0827200i 0.690747 0.723097i \(-0.257282\pi\)
−0.592165 + 0.805817i \(0.701726\pi\)
\(644\) 39.7752 11.3005i 1.56736 0.445302i
\(645\) 8.61565 + 0.337626i 0.339241 + 0.0132940i
\(646\) −6.44561 + 17.7807i −0.253599 + 0.699574i
\(647\) −3.62076 −0.142347 −0.0711733 0.997464i \(-0.522674\pi\)
−0.0711733 + 0.997464i \(0.522674\pi\)
\(648\) −0.414344 + 1.42530i −0.0162770 + 0.0559911i
\(649\) −0.855396 + 1.01942i −0.0335772 + 0.0400158i
\(650\) 12.3019 8.12451i 0.482520 0.318670i
\(651\) −0.361186 0.992352i −0.0141560 0.0388933i
\(652\) 14.7451 + 6.60807i 0.577464 + 0.258792i
\(653\) −28.0083 + 16.1706i −1.09605 + 0.632805i −0.935181 0.354170i \(-0.884763\pi\)
−0.160870 + 0.986976i \(0.551430\pi\)
\(654\) 12.6978 + 23.9514i 0.496522 + 0.936574i
\(655\) 6.25489 + 45.9248i 0.244399 + 1.79443i
\(656\) −10.3147 + 19.1729i −0.402719 + 0.748578i
\(657\) −12.7827 7.38012i −0.498702 0.287926i
\(658\) −42.9396 1.55189i −1.67396 0.0604988i
\(659\) 27.5520 23.1188i 1.07327 0.900582i 0.0779270 0.996959i \(-0.475170\pi\)
0.995345 + 0.0963770i \(0.0307254\pi\)
\(660\) 15.3019 14.5801i 0.595626 0.567528i
\(661\) 16.7489 46.0171i 0.651455 1.78986i 0.0391562 0.999233i \(-0.487533\pi\)
0.612299 0.790626i \(-0.290245\pi\)
\(662\) −39.3990 + 12.7485i −1.53129 + 0.495483i
\(663\) 1.14822 6.51191i 0.0445933 0.252901i
\(664\) 17.4458 + 1.89815i 0.677028 + 0.0736625i
\(665\) −38.0696 6.78132i −1.47628 0.262968i
\(666\) −7.07153 + 11.2862i −0.274016 + 0.437331i
\(667\) −42.0770 7.41931i −1.62923 0.287277i
\(668\) 11.7169 + 2.95171i 0.453340 + 0.114205i
\(669\) −17.1481 6.24139i −0.662983 0.241306i
\(670\) −5.25089 + 20.5791i −0.202860 + 0.795041i
\(671\) 40.5771 + 48.3579i 1.56646 + 1.86684i
\(672\) 17.6805 + 15.0202i 0.682038 + 0.579418i
\(673\) 7.23324 12.5283i 0.278821 0.482932i −0.692271 0.721638i \(-0.743390\pi\)
0.971092 + 0.238705i \(0.0767230\pi\)
\(674\) 21.7302 + 8.81040i 0.837016 + 0.339364i
\(675\) −25.3706 + 2.44816i −0.976515 + 0.0942296i
\(676\) −17.2611 1.24930i −0.663888 0.0480502i
\(677\) −18.0848 31.3239i −0.695057 1.20387i −0.970161 0.242460i \(-0.922046\pi\)
0.275104 0.961414i \(-0.411288\pi\)
\(678\) 0.0831842 0.0115874i 0.00319467 0.000445012i
\(679\) −68.4222 + 24.9037i −2.62580 + 0.955715i
\(680\) −17.0603 9.24514i −0.654234 0.354535i
\(681\) 9.06882 + 7.60964i 0.347518 + 0.291602i
\(682\) −1.11558 + 1.23594i −0.0427177 + 0.0473267i
\(683\) 35.2724i 1.34966i 0.737973 + 0.674830i \(0.235783\pi\)
−0.737973 + 0.674830i \(0.764217\pi\)
\(684\) 12.5139 + 11.2658i 0.478479 + 0.430759i
\(685\) −44.6554 1.74993i −1.70620 0.0668615i
\(686\) 7.24623 + 6.54054i 0.276662 + 0.249719i
\(687\) −0.987186 + 1.17648i −0.0376635 + 0.0448856i
\(688\) 12.6921 7.84512i 0.483882 0.299092i
\(689\) −12.3981 + 4.51253i −0.472329 + 0.171914i
\(690\) −1.68777 16.9510i −0.0642522 0.645315i
\(691\) 16.0220 9.25033i 0.609507 0.351899i −0.163265 0.986582i \(-0.552203\pi\)
0.772773 + 0.634683i \(0.218869\pi\)
\(692\) 31.8836 + 2.30764i 1.21203 + 0.0877233i
\(693\) −34.5016 + 6.08356i −1.31061 + 0.231095i
\(694\) −14.8004 6.00074i −0.561815 0.227785i
\(695\) 0.696634 1.10435i 0.0264248 0.0418903i
\(696\) −9.67002 21.9347i −0.366541 0.831434i
\(697\) 12.7923 10.7340i 0.484543 0.406580i
\(698\) 8.04020 37.6007i 0.304326 1.42321i
\(699\) 5.44730 + 1.98266i 0.206036 + 0.0749909i
\(700\) 12.6725 37.5950i 0.478977 1.42096i
\(701\) 1.38515 7.85560i 0.0523165 0.296702i −0.947412 0.320018i \(-0.896311\pi\)
0.999728 + 0.0233157i \(0.00742230\pi\)
\(702\) −12.7370 7.98055i −0.480726 0.301206i
\(703\) 11.3081 + 17.9960i 0.426493 + 0.678730i
\(704\) 7.86602 35.7202i 0.296462 1.34625i
\(705\) −3.75410 + 17.2989i −0.141387 + 0.651513i
\(706\) −2.80763 8.67696i −0.105666 0.326562i
\(707\) −17.4874 6.36491i −0.657683 0.239377i
\(708\) −0.419071 + 0.431849i −0.0157496 + 0.0162299i
\(709\) 21.0922 17.6985i 0.792136 0.664681i −0.154137 0.988049i \(-0.549260\pi\)
0.946273 + 0.323369i \(0.104815\pi\)
\(710\) 1.09449 14.5090i 0.0410756 0.544512i
\(711\) 1.73459 3.00440i 0.0650523 0.112674i
\(712\) 1.80385 0.119511i 0.0676023 0.00447887i
\(713\) 0.233018 + 1.32151i 0.00872660 + 0.0494910i
\(714\) −8.33479 15.7217i −0.311922 0.588368i
\(715\) −9.92639 18.8623i −0.371226 0.705409i
\(716\) 28.3018 + 12.6836i 1.05769 + 0.474007i
\(717\) −24.3807 + 8.87386i −0.910515 + 0.331400i
\(718\) −19.2504 24.7014i −0.718420 0.921850i
\(719\) 26.5671 31.6614i 0.990785 1.18077i 0.00726446 0.999974i \(-0.497688\pi\)
0.983520 0.180798i \(-0.0578679\pi\)
\(720\) −13.3346 + 10.9830i −0.496950 + 0.409312i
\(721\) 34.1730i 1.27267i
\(722\) 24.8750 10.1605i 0.925751 0.378134i
\(723\) 4.35919 0.162120
\(724\) −10.5144 37.0084i −0.390766 1.37541i
\(725\) −28.7273 + 29.2451i −1.06691 + 1.08614i
\(726\) −8.89925 11.4192i −0.330282 0.423806i
\(727\) −20.2269 + 7.36199i −0.750174 + 0.273041i −0.688679 0.725066i \(-0.741809\pi\)
−0.0614953 + 0.998107i \(0.519587\pi\)
\(728\) 19.4435 13.0116i 0.720625 0.482243i
\(729\) 7.39752 + 12.8129i 0.273982 + 0.474551i
\(730\) −10.4747 21.7784i −0.387685 0.806053i
\(731\) −11.2709 + 1.98736i −0.416867 + 0.0735050i
\(732\) 16.7222 + 23.1346i 0.618072 + 0.855079i
\(733\) 30.6070 + 17.6710i 1.13049 + 0.652692i 0.944059 0.329776i \(-0.106973\pi\)
0.186436 + 0.982467i \(0.440306\pi\)
\(734\) 30.4667 + 1.10110i 1.12455 + 0.0406425i
\(735\) 15.9719 12.3694i 0.589134 0.456253i
\(736\) −18.8108 22.6974i −0.693376 0.836635i
\(737\) 28.8546 + 10.5022i 1.06287 + 0.386854i
\(738\) −4.57691 14.1449i −0.168478 0.520682i
\(739\) −30.7103 5.41506i −1.12970 0.199196i −0.422603 0.906315i \(-0.638883\pi\)
−0.707095 + 0.707119i \(0.749994\pi\)
\(740\) −19.9798 + 8.73567i −0.734470 + 0.321130i
\(741\) −7.95430 + 4.99824i −0.292208 + 0.183615i
\(742\) −18.8517 + 30.0873i −0.692067 + 1.10454i
\(743\) 5.87565 + 1.03604i 0.215557 + 0.0380085i 0.280384 0.959888i \(-0.409538\pi\)
−0.0648267 + 0.997897i \(0.520649\pi\)
\(744\) −0.543485 + 0.521010i −0.0199251 + 0.0191011i
\(745\) −12.9155 + 31.5790i −0.473189 + 1.15697i
\(746\) 8.64440 40.4263i 0.316494 1.48011i
\(747\) −9.17987 + 7.70282i −0.335874 + 0.281832i
\(748\) −15.7446 + 23.2200i −0.575680 + 0.849008i
\(749\) −40.0941 23.1483i −1.46501 0.845821i
\(750\) −14.3224 7.87454i −0.522981 0.287538i
\(751\) 3.87069 + 21.9518i 0.141244 + 0.801032i 0.970307 + 0.241877i \(0.0777631\pi\)
−0.829063 + 0.559155i \(0.811126\pi\)
\(752\) 11.3366 + 28.4578i 0.413404 + 1.03775i
\(753\) −3.24822 5.62608i −0.118372 0.205026i
\(754\) −23.9434 + 3.33526i −0.871965 + 0.121463i
\(755\) 3.57665 + 11.1695i 0.130168 + 0.406500i
\(756\) −40.2371 + 4.12995i −1.46341 + 0.150205i
\(757\) −2.83015 + 3.37284i −0.102863 + 0.122588i −0.815020 0.579433i \(-0.803274\pi\)
0.712157 + 0.702021i \(0.247719\pi\)
\(758\) 8.27900 + 7.47274i 0.300707 + 0.271422i
\(759\) −24.6289 −0.893972
\(760\) 6.52467 + 26.7849i 0.236675 + 0.971589i
\(761\) 13.2216 0.479284 0.239642 0.970861i \(-0.422970\pi\)
0.239642 + 0.970861i \(0.422970\pi\)
\(762\) −7.84586 7.08178i −0.284226 0.256546i
\(763\) 47.2898 56.3578i 1.71201 2.04029i
\(764\) −0.841199 + 0.0863409i −0.0304335 + 0.00312370i
\(765\) 12.6194 4.04092i 0.456254 0.146100i
\(766\) 7.46801 1.04028i 0.269830 0.0375868i
\(767\) 0.303425 + 0.525548i 0.0109561 + 0.0189765i
\(768\) 4.71368 15.8535i 0.170090 0.572063