Properties

Label 380.2.bb.a.219.8
Level $380$
Weight $2$
Character 380.219
Analytic conductor $3.034$
Analytic rank $0$
Dimension $336$
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 219.8
Character \(\chi\) \(=\) 380.219
Dual form 380.2.bb.a.59.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.31059 - 0.531372i) q^{2} +(0.664457 + 0.791869i) q^{3} +(1.43529 + 1.39282i) q^{4} +(0.846472 - 2.06966i) q^{5} +(-0.450054 - 1.39089i) q^{6} +(1.98367 - 3.43582i) q^{7} +(-1.14097 - 2.58809i) q^{8} +(0.335391 - 1.90210i) q^{9} +O(q^{10})\) \(q+(-1.31059 - 0.531372i) q^{2} +(0.664457 + 0.791869i) q^{3} +(1.43529 + 1.39282i) q^{4} +(0.846472 - 2.06966i) q^{5} +(-0.450054 - 1.39089i) q^{6} +(1.98367 - 3.43582i) q^{7} +(-1.14097 - 2.58809i) q^{8} +(0.335391 - 1.90210i) q^{9} +(-2.20913 + 2.26268i) q^{10} +(-3.95947 + 2.28600i) q^{11} +(-0.149243 + 2.06203i) q^{12} +(-1.59714 - 1.34016i) q^{13} +(-4.42547 + 3.44888i) q^{14} +(2.20134 - 0.704904i) q^{15} +(0.120106 + 3.99820i) 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} +(6.40395 - 0.892059i) q^{22} +(-4.89694 + 1.78234i) q^{23} +(1.29130 - 2.62317i) q^{24} +(-3.56697 - 3.50382i) q^{25} +(1.38107 + 2.60507i) q^{26} +(4.41473 - 2.54884i) q^{27} +(7.63262 - 2.16850i) q^{28} +(8.07431 + 1.42372i) q^{29} +(-3.25962 - 0.245891i) q^{30} +(0.128751 - 0.223003i) q^{31} +(1.96712 - 5.30381i) q^{32} +(-4.44111 - 1.61643i) q^{33} +(4.24302 + 0.907288i) q^{34} +(-5.43185 - 7.01385i) q^{35} +(3.13066 - 2.26292i) q^{36} +4.87597 q^{37} +(-5.00060 + 3.60471i) q^{38} -2.15520i q^{39} +(-6.32225 + 0.170673i) q^{40} +(3.49860 + 4.16946i) q^{41} +(-5.67160 - 1.21276i) q^{42} +(-3.50528 - 1.27582i) q^{43} +(-8.86697 - 2.23376i) q^{44} +(-3.65279 - 2.30422i) q^{45} +(7.36496 + 0.266178i) q^{46} +(-1.32983 + 7.54185i) q^{47} +(-3.08624 + 2.75174i) q^{48} +(-4.36990 - 7.56889i) q^{49} +(2.81301 + 6.48745i) q^{50} +(-2.42953 - 2.03861i) q^{51} +(-0.425756 - 4.14804i) q^{52} +(5.94655 - 2.16437i) q^{53} +(-7.14028 + 0.994627i) q^{54} +(1.37966 + 10.1298i) 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} +(4.14137 + 2.05433i) q^{60} +(12.9746 - 4.72236i) q^{61} +(-0.287237 + 0.223851i) q^{62} +(-5.86996 - 4.92548i) q^{63} +(-5.39638 + 5.90585i) q^{64} +(-4.12561 + 2.17113i) q^{65} +(4.96155 + 4.47836i) q^{66} +(6.61416 + 1.16625i) q^{67} +(-5.07875 - 3.44370i) q^{68} +(-4.66519 - 2.69345i) q^{69} +(3.39197 + 12.0786i) q^{70} +(4.32369 + 1.57370i) q^{71} +(-5.30546 + 1.30221i) q^{72} +(4.91224 + 5.85418i) q^{73} +(-6.39040 - 2.59095i) q^{74} +(0.404465 - 5.15271i) q^{75} +(8.46918 - 2.06712i) q^{76} +18.1387i q^{77} +(-1.14521 + 2.82459i) q^{78} +(1.37594 - 1.15455i) q^{79} +(8.37657 + 3.13578i) q^{80} +(-0.493133 - 0.179486i) q^{81} +(-2.36969 - 7.32351i) q^{82} +(3.10221 - 5.37319i) q^{83} +(6.78871 + 4.60316i) q^{84} +(-1.45495 + 6.70440i) q^{85} +(3.91605 + 3.53468i) q^{86} +(4.23764 + 7.33980i) q^{87} +(10.4340 + 7.63919i) q^{88} +(0.410842 - 0.489623i) q^{89} +(3.56291 + 4.96087i) q^{90} +(-7.77274 + 2.82905i) q^{91} +(-9.51100 - 4.26238i) q^{92} +(0.262139 - 0.0462222i) q^{93} +(5.75039 - 9.17763i) q^{94} +(-5.67548 - 7.92395i) q^{95} +(5.50699 - 1.96646i) q^{96} +(3.18700 + 18.0744i) q^{97} +(1.70525 + 12.2418i) 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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.31059 0.531372i −0.926727 0.375736i
\(3\) 0.664457 + 0.791869i 0.383624 + 0.457186i 0.922955 0.384908i \(-0.125767\pi\)
−0.539330 + 0.842094i \(0.681323\pi\)
\(4\) 1.43529 + 1.39282i 0.717644 + 0.696410i
\(5\) 0.846472 2.06966i 0.378554 0.925579i
\(6\) −0.450054 1.39089i −0.183734 0.567828i
\(7\) 1.98367 3.43582i 0.749757 1.29862i −0.198182 0.980165i \(-0.563504\pi\)
0.947939 0.318452i \(-0.103163\pi\)
\(8\) −1.14097 2.58809i −0.403393 0.915027i
\(9\) 0.335391 1.90210i 0.111797 0.634032i
\(10\) −2.20913 + 2.26268i −0.698590 + 0.715522i
\(11\) −3.95947 + 2.28600i −1.19382 + 0.689255i −0.959172 0.282824i \(-0.908729\pi\)
−0.234653 + 0.972079i \(0.575395\pi\)
\(12\) −0.149243 + 2.06203i −0.0430828 + 0.595257i
\(13\) −1.59714 1.34016i −0.442967 0.371693i 0.393851 0.919174i \(-0.371142\pi\)
−0.836818 + 0.547481i \(0.815587\pi\)
\(14\) −4.42547 + 3.44888i −1.18276 + 0.921752i
\(15\) 2.20134 0.704904i 0.568384 0.182005i
\(16\) 0.120106 + 3.99820i 0.0300266 + 0.999549i
\(17\) −3.02148 + 0.532768i −0.732817 + 0.129215i −0.527590 0.849499i \(-0.676904\pi\)
−0.205227 + 0.978714i \(0.565793\pi\)
\(18\) −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
\(22\) 6.40395 0.892059i 1.36533 0.190188i
\(23\) −4.89694 + 1.78234i −1.02108 + 0.371644i −0.797679 0.603082i \(-0.793939\pi\)
−0.223404 + 0.974726i \(0.571717\pi\)
\(24\) 1.29130 2.62317i 0.263586 0.535452i
\(25\) −3.56697 3.50382i −0.713394 0.700763i
\(26\) 1.38107 + 2.60507i 0.270850 + 0.510897i
\(27\) 4.41473 2.54884i 0.849615 0.490525i
\(28\) 7.63262 2.16850i 1.44243 0.409807i
\(29\) 8.07431 + 1.42372i 1.49936 + 0.264378i 0.862286 0.506422i \(-0.169032\pi\)
0.637077 + 0.770800i \(0.280143\pi\)
\(30\) −3.25962 0.245891i −0.595123 0.0448934i
\(31\) 0.128751 0.223003i 0.0231244 0.0400526i −0.854232 0.519893i \(-0.825972\pi\)
0.877356 + 0.479840i \(0.159305\pi\)
\(32\) 1.96712 5.30381i 0.347741 0.937591i
\(33\) −4.44111 1.61643i −0.773098 0.281385i
\(34\) 4.24302 + 0.907288i 0.727671 + 0.155599i
\(35\) −5.43185 7.01385i −0.918150 1.18556i
\(36\) 3.13066 2.26292i 0.521777 0.377153i
\(37\) 4.87597 0.801605 0.400803 0.916164i \(-0.368731\pi\)
0.400803 + 0.916164i \(0.368731\pi\)
\(38\) −5.00060 + 3.60471i −0.811205 + 0.584762i
\(39\) 2.15520i 0.345109i
\(40\) −6.32225 + 0.170673i −0.999636 + 0.0269858i
\(41\) 3.49860 + 4.16946i 0.546389 + 0.651161i 0.966607 0.256262i \(-0.0824910\pi\)
−0.420218 + 0.907423i \(0.638047\pi\)
\(42\) −5.67160 1.21276i −0.875147 0.187133i
\(43\) −3.50528 1.27582i −0.534550 0.194560i 0.0606186 0.998161i \(-0.480693\pi\)
−0.595169 + 0.803601i \(0.702915\pi\)
\(44\) −8.86697 2.23376i −1.33675 0.336751i
\(45\) −3.65279 2.30422i −0.544526 0.343492i
\(46\) 7.36496 + 0.266178i 1.08590 + 0.0392459i
\(47\) −1.32983 + 7.54185i −0.193976 + 1.10009i 0.719894 + 0.694084i \(0.244190\pi\)
−0.913870 + 0.406007i \(0.866921\pi\)
\(48\) −3.08624 + 2.75174i −0.445461 + 0.397179i
\(49\) −4.36990 7.56889i −0.624272 1.08127i
\(50\) 2.81301 + 6.48745i 0.397819 + 0.917464i
\(51\) −2.42953 2.03861i −0.340202 0.285463i
\(52\) −0.425756 4.14804i −0.0590417 0.575230i
\(53\) 5.94655 2.16437i 0.816822 0.297299i 0.100383 0.994949i \(-0.467993\pi\)
0.716439 + 0.697650i \(0.245771\pi\)
\(54\) −7.14028 + 0.994627i −0.971669 + 0.135352i
\(55\) 1.37966 + 10.1298i 0.186033 + 1.36590i
\(56\) −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 \(-0.0495242\pi\)
−0.981341 + 0.192276i \(0.938413\pi\)
\(60\) 4.14137 + 2.05433i 0.534648 + 0.265213i
\(61\) 12.9746 4.72236i 1.66122 0.604636i 0.670670 0.741756i \(-0.266007\pi\)
0.990555 + 0.137119i \(0.0437844\pi\)
\(62\) −0.287237 + 0.223851i −0.0364792 + 0.0284291i
\(63\) −5.86996 4.92548i −0.739545 0.620552i
\(64\) −5.39638 + 5.90585i −0.674547 + 0.738231i
\(65\) −4.12561 + 2.17113i −0.511718 + 0.269295i
\(66\) 4.96155 + 4.47836i 0.610724 + 0.551248i
\(67\) 6.61416 + 1.16625i 0.808048 + 0.142481i 0.562386 0.826875i \(-0.309884\pi\)
0.245662 + 0.969356i \(0.420995\pi\)
\(68\) −5.07875 3.44370i −0.615888 0.417610i
\(69\) −4.66519 2.69345i −0.561623 0.324253i
\(70\) 3.39197 + 12.0786i 0.405417 + 1.44367i
\(71\) 4.32369 + 1.57370i 0.513128 + 0.186763i 0.585589 0.810608i \(-0.300863\pi\)
−0.0724613 + 0.997371i \(0.523085\pi\)
\(72\) −5.30546 + 1.30221i −0.625255 + 0.153467i
\(73\) 4.91224 + 5.85418i 0.574934 + 0.685180i 0.972636 0.232335i \(-0.0746365\pi\)
−0.397701 + 0.917515i \(0.630192\pi\)
\(74\) −6.39040 2.59095i −0.742869 0.301192i
\(75\) 0.404465 5.15271i 0.0467035 0.594984i
\(76\) 8.46918 2.06712i 0.971482 0.237115i
\(77\) 18.1387i 2.06710i
\(78\) −1.14521 + 2.82459i −0.129670 + 0.319822i
\(79\) 1.37594 1.15455i 0.154805 0.129897i −0.562095 0.827073i \(-0.690005\pi\)
0.716901 + 0.697175i \(0.245560\pi\)
\(80\) 8.37657 + 3.13578i 0.936529 + 0.350591i
\(81\) −0.493133 0.179486i −0.0547925 0.0199429i
\(82\) −2.36969 7.32351i −0.261688 0.808746i
\(83\) 3.10221 5.37319i 0.340512 0.589784i −0.644016 0.765012i \(-0.722733\pi\)
0.984528 + 0.175228i \(0.0560664\pi\)
\(84\) 6.78871 + 4.60316i 0.740709 + 0.502246i
\(85\) −1.45495 + 6.70440i −0.157811 + 0.727195i
\(86\) 3.91605 + 3.53468i 0.422279 + 0.381154i
\(87\) 4.23764 + 7.33980i 0.454322 + 0.786909i
\(88\) 10.4340 + 7.63919i 1.11227 + 0.814341i
\(89\) 0.410842 0.489623i 0.0435492 0.0518999i −0.743830 0.668369i \(-0.766993\pi\)
0.787379 + 0.616469i \(0.211437\pi\)
\(90\) 3.56291 + 4.96087i 0.375564 + 0.522922i
\(91\) −7.77274 + 2.82905i −0.814805 + 0.296565i
\(92\) −9.51100 4.26238i −0.991591 0.444384i
\(93\) 0.262139 0.0462222i 0.0271825 0.00479302i
\(94\) 5.75039 9.17763i 0.593107 0.946600i
\(95\) −5.67548 7.92395i −0.582291 0.812980i
\(96\) 5.50699 1.96646i 0.562055 0.200701i
\(97\) 3.18700 + 18.0744i 0.323591 + 1.83517i 0.519398 + 0.854532i \(0.326156\pi\)
−0.195807 + 0.980642i \(0.562733\pi\)
\(98\) 1.70525 + 12.2418i 0.172257 + 1.23660i
\(99\) 3.02022 + 8.29800i 0.303544 + 0.833980i
\(100\) −0.239448 9.99713i −0.0239448 0.999713i
\(101\) −3.59331 3.01515i −0.357548 0.300018i 0.446265 0.894901i \(-0.352754\pi\)
−0.803812 + 0.594883i \(0.797198\pi\)
\(102\) 2.10085 + 3.96277i 0.208015 + 0.392373i
\(103\) −7.45958 + 4.30679i −0.735014 + 0.424361i −0.820254 0.572000i \(-0.806168\pi\)
0.0852396 + 0.996360i \(0.472834\pi\)
\(104\) −1.64616 + 5.66261i −0.161419 + 0.555265i
\(105\) 1.94482 8.96171i 0.189795 0.874574i
\(106\) −8.94357 0.323231i −0.868677 0.0313950i
\(107\) −10.1060 5.83472i −0.976986 0.564063i −0.0756275 0.997136i \(-0.524096\pi\)
−0.901359 + 0.433073i \(0.857429\pi\)
\(108\) 9.88649 + 2.49059i 0.951328 + 0.239657i
\(109\) −6.34238 + 17.4255i −0.607490 + 1.66906i 0.128203 + 0.991748i \(0.459079\pi\)
−0.735692 + 0.677316i \(0.763143\pi\)
\(110\) 3.57451 14.0091i 0.340816 1.33572i
\(111\) 3.23988 + 3.86113i 0.307515 + 0.366483i
\(112\) 13.9753 + 7.51844i 1.32054 + 0.710426i
\(113\) 0.0574513 0.00540456 0.00270228 0.999996i \(-0.499140\pi\)
0.00270228 + 0.999996i \(0.499140\pi\)
\(114\) −6.17715 1.56465i −0.578543 0.146542i
\(115\) −0.456287 + 11.6437i −0.0425490 + 1.08578i
\(116\) 9.60599 + 13.2895i 0.891893 + 1.23390i
\(117\) −3.08478 + 2.58844i −0.285188 + 0.239301i
\(118\) 0.0860736 0.402531i 0.00792372 0.0370560i
\(119\) −4.16313 + 11.4381i −0.381633 + 1.04853i
\(120\) −4.33602 4.89299i −0.395822 0.446667i
\(121\) 4.95160 8.57642i 0.450145 0.779675i
\(122\) −19.5137 0.705247i −1.76668 0.0638501i
\(123\) −0.977003 + 5.54086i −0.0880934 + 0.499603i
\(124\) 0.495398 0.140747i 0.0444881 0.0126395i
\(125\) −10.2710 + 4.41653i −0.918670 + 0.395026i
\(126\) 5.07584 + 9.57441i 0.452192 + 0.852956i
\(127\) 4.64726 5.53839i 0.412378 0.491453i −0.519375 0.854547i \(-0.673835\pi\)
0.931753 + 0.363094i \(0.118279\pi\)
\(128\) 10.2106 4.87266i 0.902502 0.430687i
\(129\) −1.31883 3.62345i −0.116116 0.319027i
\(130\) 6.56065 0.653225i 0.575407 0.0572916i
\(131\) 20.4129 3.59935i 1.78349 0.314477i 0.818056 0.575139i \(-0.195052\pi\)
0.965430 + 0.260662i \(0.0839409\pi\)
\(132\) −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
\(135\) −1.53829 11.2945i −0.132395 0.972076i
\(136\) 4.82627 + 7.21198i 0.413849 + 0.618422i
\(137\) −6.83556 18.7805i −0.584001 1.60453i −0.781279 0.624182i \(-0.785432\pi\)
0.197278 0.980348i \(-0.436790\pi\)
\(138\) 4.68292 + 6.00895i 0.398637 + 0.511516i
\(139\) −0.375344 + 0.447318i −0.0318363 + 0.0379410i −0.781728 0.623620i \(-0.785661\pi\)
0.749891 + 0.661561i \(0.230106\pi\)
\(140\) 1.97275 17.6325i 0.166728 1.49022i
\(141\) −6.85577 + 3.95818i −0.577360 + 0.333339i
\(142\) −4.83037 4.35996i −0.405356 0.365879i
\(143\) 9.38743 + 1.65526i 0.785016 + 0.138420i
\(144\) 7.64524 + 1.11251i 0.637103 + 0.0927088i
\(145\) 9.78129 15.5059i 0.812292 1.28770i
\(146\) −3.32719 10.2827i −0.275360 0.850998i
\(147\) 3.08996 8.48960i 0.254856 0.700210i
\(148\) 6.99843 + 6.79135i 0.575267 + 0.558246i
\(149\) −11.6884 + 9.80770i −0.957548 + 0.803478i −0.980553 0.196257i \(-0.937121\pi\)
0.0230042 + 0.999735i \(0.492677\pi\)
\(150\) −3.26809 + 6.53816i −0.266838 + 0.533839i
\(151\) 5.24500 0.426832 0.213416 0.976961i \(-0.431541\pi\)
0.213416 + 0.976961i \(0.431541\pi\)
\(152\) −12.1980 1.79113i −0.989391 0.145280i
\(153\) 5.92583i 0.479075i
\(154\) 9.63839 23.7724i 0.776683 1.91563i
\(155\) −0.352557 0.455237i −0.0283180 0.0365655i
\(156\) 3.00181 3.09334i 0.240337 0.247665i
\(157\) −3.05158 + 8.38416i −0.243543 + 0.669129i 0.756345 + 0.654173i \(0.226983\pi\)
−0.999888 + 0.0149560i \(0.995239\pi\)
\(158\) −2.41679 + 0.782007i −0.192269 + 0.0622131i
\(159\) 5.66513 + 3.27076i 0.449274 + 0.259388i
\(160\) −9.31197 8.56079i −0.736176 0.676790i
\(161\) −3.59012 + 20.3606i −0.282941 + 1.60464i
\(162\) 0.550921 + 0.497269i 0.0432844 + 0.0390691i
\(163\) 4.03953 + 6.99668i 0.316401 + 0.548022i 0.979734 0.200302i \(-0.0641922\pi\)
−0.663333 + 0.748324i \(0.730859\pi\)
\(164\) −0.785818 + 10.8573i −0.0613620 + 0.847812i
\(165\) −7.10474 + 7.82332i −0.553103 + 0.609044i
\(166\) −6.92088 + 5.39361i −0.537165 + 0.418626i
\(167\) 2.06631 + 5.67714i 0.159896 + 0.439310i 0.993608 0.112890i \(-0.0360107\pi\)
−0.833712 + 0.552200i \(0.813789\pi\)
\(168\) −6.45122 9.64018i −0.497723 0.743756i
\(169\) −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 −0.887684 0.460453i \(-0.847687\pi\)
0.676666 0.736290i \(-0.263424\pi\)
\(174\) −1.65364 11.8712i −0.125362 0.899955i
\(175\) −19.1142 + 5.30505i −1.44490 + 0.401024i
\(176\) −9.61544 15.5562i −0.724791 1.17259i
\(177\) −0.193402 + 0.230487i −0.0145370 + 0.0173245i
\(178\) −0.798617 + 0.423384i −0.0598589 + 0.0317340i
\(179\) −7.75350 13.4294i −0.579523 1.00376i −0.995534 0.0944043i \(-0.969905\pi\)
0.416010 0.909360i \(-0.363428\pi\)
\(180\) −2.03345 8.39490i −0.151565 0.625719i
\(181\) −18.9443 3.34039i −1.40812 0.248289i −0.582643 0.812728i \(-0.697981\pi\)
−0.825475 + 0.564439i \(0.809092\pi\)
\(182\) 11.6902 + 0.422496i 0.866532 + 0.0313175i
\(183\) 12.3605 + 7.13636i 0.913718 + 0.527535i
\(184\) 10.2001 + 10.6401i 0.751962 + 0.784399i
\(185\) 4.12738 10.0916i 0.303451 0.741949i
\(186\) −0.368118 0.0787149i −0.0269917 0.00577166i
\(187\) 10.7455 9.01659i 0.785792 0.659358i
\(188\) −12.4131 + 8.97251i −0.905320 + 0.654388i
\(189\) 20.2243i 1.47110i
\(190\) 3.22766 + 13.4008i 0.234159 + 0.972198i
\(191\) 0.422809i 0.0305934i 0.999883 + 0.0152967i \(0.00486928\pi\)
−0.999883 + 0.0152967i \(0.995131\pi\)
\(192\) −8.26232 0.349041i −0.596282 0.0251899i
\(193\) −4.65164 + 3.90319i −0.334832 + 0.280957i −0.794665 0.607048i \(-0.792354\pi\)
0.459833 + 0.888005i \(0.347909\pi\)
\(194\) 5.42736 25.3816i 0.389662 1.82229i
\(195\) −4.46054 1.82432i −0.319426 0.130642i
\(196\) 4.27003 16.9500i 0.305002 1.21072i
\(197\) 8.04555 + 4.64510i 0.573222 + 0.330950i 0.758435 0.651748i \(-0.225964\pi\)
−0.185213 + 0.982698i \(0.559298\pi\)
\(198\) 0.451047 12.4801i 0.0320545 0.886924i
\(199\) −13.8858 2.44844i −0.984336 0.173565i −0.341760 0.939787i \(-0.611023\pi\)
−0.642576 + 0.766222i \(0.722134\pi\)
\(200\) −4.99837 + 13.2294i −0.353438 + 0.935458i
\(201\) 3.47130 + 6.01247i 0.244847 + 0.424087i
\(202\) 3.10719 + 5.86100i 0.218621 + 0.412379i
\(203\) 20.9084 24.9177i 1.46748 1.74888i
\(204\) −0.647649 6.30989i −0.0453445 0.441781i
\(205\) 11.5908 3.71156i 0.809539 0.259227i
\(206\) 12.0649 1.68062i 0.840605 0.117095i
\(207\) 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 0.929124 + 0.369769i \(0.120563\pi\)
−0.746622 + 0.665248i \(0.768326\pi\)
\(212\) 11.5496 + 5.17598i 0.793230 + 0.355488i
\(213\) 1.62675 + 4.46945i 0.111463 + 0.306242i
\(214\) 10.1444 + 13.0170i 0.693460 + 0.889822i
\(215\) −5.60763 + 6.17479i −0.382437 + 0.421117i
\(216\) −11.6337 8.51754i −0.791573 0.579545i
\(217\) −0.510799 0.884731i −0.0346753 0.0600594i
\(218\) 17.5717 19.4676i 1.19010 1.31851i
\(219\) −1.37177 + 7.77970i −0.0926958 + 0.525704i
\(220\) −12.1288 + 16.4608i −0.817720 + 1.10979i
\(221\) 5.53972 + 3.19836i 0.372642 + 0.215145i
\(222\) −2.19445 6.78194i −0.147282 0.455174i
\(223\) −6.03784 + 16.5888i −0.404324 + 1.11087i 0.555805 + 0.831313i \(0.312410\pi\)
−0.960129 + 0.279558i \(0.909812\pi\)
\(224\) −14.3208 17.2797i −0.956851 1.15455i
\(225\) −7.86093 + 5.60958i −0.524062 + 0.373972i
\(226\) −0.0752950 0.0305280i −0.00500855 0.00203069i
\(227\) 11.4524i 0.760124i −0.924961 0.380062i \(-0.875903\pi\)
0.924961 0.380062i \(-0.124097\pi\)
\(228\) 7.26430 + 5.33297i 0.481090 + 0.353184i
\(229\) −1.48570 −0.0981780 −0.0490890 0.998794i \(-0.515632\pi\)
−0.0490890 + 0.998794i \(0.515632\pi\)
\(230\) 6.78513 15.0176i 0.447398 0.990234i
\(231\) −14.3635 + 12.0524i −0.945047 + 0.792989i
\(232\) −5.52783 22.5214i −0.362920 1.47861i
\(233\) −1.91800 + 5.26965i −0.125652 + 0.345227i −0.986529 0.163587i \(-0.947694\pi\)
0.860877 + 0.508814i \(0.169916\pi\)
\(234\) 5.41830 1.75321i 0.354205 0.114611i
\(235\) 14.4834 + 9.13626i 0.944792 + 0.595984i
\(236\) −0.326701 + 0.481816i −0.0212664 + 0.0313636i
\(237\) 1.82851 + 0.322415i 0.118774 + 0.0209431i
\(238\) 11.5340 12.7785i 0.747640 0.828306i
\(239\) 21.7366 12.5496i 1.40603 0.811769i 0.411023 0.911625i \(-0.365172\pi\)
0.995002 + 0.0998560i \(0.0318382\pi\)
\(240\) 3.08274 + 8.71674i 0.198990 + 0.562663i
\(241\) 2.71066 3.23043i 0.174609 0.208090i −0.671641 0.740876i \(-0.734410\pi\)
0.846250 + 0.532786i \(0.178855\pi\)
\(242\) −11.0468 + 8.60903i −0.710114 + 0.553409i
\(243\) −5.41607 14.8805i −0.347441 0.954587i
\(244\) 25.1997 + 11.2933i 1.61324 + 0.722979i
\(245\) −19.3640 + 2.63735i −1.23712 + 0.168494i
\(246\) 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
\(250\) 15.8079 0.330515i 0.999781 0.0209036i
\(251\) −2.14945 5.90557i −0.135672 0.372756i 0.853188 0.521603i \(-0.174666\pi\)
−0.988860 + 0.148847i \(0.952444\pi\)
\(252\) −1.56478 15.2453i −0.0985717 0.960362i
\(253\) 15.3149 18.2515i 0.962837 1.14746i
\(254\) −9.03360 + 4.78914i −0.566819 + 0.300497i
\(255\) −6.27576 + 3.30266i −0.393003 + 0.206821i
\(256\) −15.9711 + 0.960417i −0.998197 + 0.0600261i
\(257\) −3.78461 + 21.4636i −0.236077 + 1.33886i 0.604256 + 0.796790i \(0.293470\pi\)
−0.840333 + 0.542070i \(0.817641\pi\)
\(258\) −0.196957 + 5.44964i −0.0122620 + 0.339280i
\(259\) 9.67233 16.7530i 0.601009 1.04098i
\(260\) −8.94542 2.63003i −0.554771 0.163108i
\(261\) 5.41611 14.8806i 0.335249 0.921088i
\(262\) −28.6656 6.12958i −1.77096 0.378687i
\(263\) −18.5204 + 15.5405i −1.14202 + 0.958267i −0.999503 0.0315254i \(-0.989964\pi\)
−0.142515 + 0.989793i \(0.545519\pi\)
\(264\) 0.883704 + 13.3383i 0.0543882 + 0.820914i
\(265\) 0.554088 14.1394i 0.0340374 0.868577i
\(266\) 2.46559 + 24.3317i 0.151175 + 1.49187i
\(267\) 0.660704 0.0404344
\(268\) 7.86884 + 10.8862i 0.480666 + 0.664983i
\(269\) 15.2264 + 18.1461i 0.928370 + 1.10639i 0.994091 + 0.108550i \(0.0346208\pi\)
−0.0657210 + 0.997838i \(0.520935\pi\)
\(270\) −3.98551 + 15.6199i −0.242550 + 0.950594i
\(271\) 0.387915 1.06579i 0.0235641 0.0647419i −0.927353 0.374188i \(-0.877921\pi\)
0.950917 + 0.309446i \(0.100144\pi\)
\(272\) −2.49301 12.0165i −0.151161 0.728606i
\(273\) −7.40489 4.27522i −0.448164 0.258748i
\(274\) −1.02084 + 28.2458i −0.0616710 + 1.70639i
\(275\) 22.1330 + 5.71915i 1.33467 + 0.344878i
\(276\) −2.94440 10.3636i −0.177232 0.623818i
\(277\) 20.3177 11.7304i 1.22077 0.704814i 0.255691 0.966759i \(-0.417697\pi\)
0.965083 + 0.261944i \(0.0843636\pi\)
\(278\) 0.729615 0.386803i 0.0437594 0.0231989i
\(279\) −0.380992 0.319690i −0.0228094 0.0191394i
\(280\) −11.9549 + 22.0607i −0.714440 + 1.31838i
\(281\) 0.855721 + 2.35107i 0.0510480 + 0.140253i 0.962596 0.270940i \(-0.0873344\pi\)
−0.911548 + 0.411193i \(0.865112\pi\)
\(282\) 11.0884 1.54459i 0.660303 0.0919789i
\(283\) −0.826243 4.68586i −0.0491151 0.278545i 0.950352 0.311176i \(-0.100723\pi\)
−0.999467 + 0.0326302i \(0.989612\pi\)
\(284\) 4.01387 + 8.28083i 0.238180 + 0.491377i
\(285\) 2.50362 9.75936i 0.148302 0.578094i
\(286\) −11.4235 7.15758i −0.675486 0.423236i
\(287\) 21.2656 3.74970i 1.25527 0.221338i
\(288\) −9.42862 5.52050i −0.555587 0.325299i
\(289\) −7.12928 + 2.59484i −0.419369 + 0.152638i
\(290\) −21.0587 + 15.1244i −1.23661 + 0.888136i
\(291\) −12.1949 + 14.5333i −0.714879 + 0.851959i
\(292\) −1.10334 + 15.2443i −0.0645678 + 0.892106i
\(293\) 1.26210 + 2.18602i 0.0737325 + 0.127708i 0.900534 0.434785i \(-0.143176\pi\)
−0.826802 + 0.562493i \(0.809842\pi\)
\(294\) −8.56080 + 9.48446i −0.499276 + 0.553145i
\(295\) 0.636041 + 0.138030i 0.0370317 + 0.00803641i
\(296\) −5.56334 12.6194i −0.323362 0.733490i
\(297\) −11.6533 + 20.1841i −0.676194 + 1.17120i
\(298\) 20.5302 6.64301i 1.18928 0.384819i
\(299\) 10.2097 + 3.71603i 0.590443 + 0.214904i
\(300\) 7.75732 6.83228i 0.447869 0.394462i
\(301\) −11.3368 + 9.51271i −0.653443 + 0.548303i
\(302\) −6.87404 2.78704i −0.395557 0.160376i
\(303\) 4.84887i 0.278560i
\(304\) 15.0348 + 8.82913i 0.862307 + 0.506385i
\(305\) 1.20895 30.8503i 0.0692240 1.76648i
\(306\) 3.14882 7.76633i 0.180006 0.443972i
\(307\) 12.8740 + 15.3426i 0.734758 + 0.875651i 0.995975 0.0896294i \(-0.0285683\pi\)
−0.261217 + 0.965280i \(0.584124\pi\)
\(308\) −25.2639 + 26.0343i −1.43955 + 1.48344i
\(309\) −8.36698 3.04533i −0.475981 0.173243i
\(310\) 0.220157 + 0.783967i 0.0125041 + 0.0445263i
\(311\) 12.0659 + 6.96627i 0.684196 + 0.395021i 0.801434 0.598083i \(-0.204071\pi\)
−0.117238 + 0.993104i \(0.537404\pi\)
\(312\) −5.57785 + 2.45902i −0.315784 + 0.139215i
\(313\) −2.34444 0.413387i −0.132515 0.0233660i 0.106997 0.994259i \(-0.465876\pi\)
−0.239512 + 0.970893i \(0.576988\pi\)
\(314\) 8.45448 9.36666i 0.477114 0.528591i
\(315\) −15.1628 + 7.97952i −0.854328 + 0.449595i
\(316\) 3.58296 + 0.259323i 0.201557 + 0.0145881i
\(317\) 8.65458 + 7.26205i 0.486090 + 0.407878i 0.852622 0.522528i \(-0.175011\pi\)
−0.366533 + 0.930405i \(0.619455\pi\)
\(318\) −5.68666 7.29691i −0.318892 0.409191i
\(319\) −35.2246 + 12.8207i −1.97220 + 0.717822i
\(320\) 7.65521 + 16.1678i 0.427939 + 0.903807i
\(321\) −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
\(325\) 1.00128 + 10.3764i 0.0555410 + 0.575579i
\(326\) −1.57633 11.3163i −0.0873051 0.626750i
\(327\) −18.0130 + 6.55619i −0.996120 + 0.362558i
\(328\) 6.79914 13.8119i 0.375420 0.762634i
\(329\) 23.2745 + 19.5296i 1.28316 + 1.07670i
\(330\) 13.4685 6.47790i 0.741416 0.356597i
\(331\) −14.6407 25.3585i −0.804727 1.39383i −0.916475 0.400092i \(-0.868978\pi\)
0.111748 0.993737i \(-0.464355\pi\)
\(332\) 11.9364 3.39125i 0.655097 0.186119i
\(333\) 1.63536 9.27458i 0.0896171 0.508244i
\(334\) 0.308587 8.53837i 0.0168851 0.467199i
\(335\) 8.01245 12.7018i 0.437767 0.693976i
\(336\) 3.33238 + 16.0623i 0.181797 + 0.876271i
\(337\) 15.5806 + 5.67086i 0.848727 + 0.308911i 0.729521 0.683958i \(-0.239743\pi\)
0.119206 + 0.992870i \(0.461965\pi\)
\(338\) −2.55888 + 11.9668i −0.139185 + 0.650910i
\(339\) 0.0381739 + 0.0454939i 0.00207332 + 0.00247089i
\(340\) −11.4263 + 7.59627i −0.619678 + 0.411966i
\(341\) 1.17730i 0.0637544i
\(342\) 5.17936 + 10.7206i 0.280068 + 0.579705i
\(343\) −6.90241 −0.372695
\(344\) 0.697490 + 10.5276i 0.0376061 + 0.567612i
\(345\) −9.52347 + 7.37542i −0.512726 + 0.397079i
\(346\) −4.72661 + 22.1044i −0.254104 + 1.18834i
\(347\) 10.6119 + 3.86241i 0.569675 + 0.207345i 0.610767 0.791811i \(-0.290861\pi\)
−0.0410915 + 0.999155i \(0.513084\pi\)
\(348\) −4.14079 + 16.4370i −0.221970 + 0.881115i
\(349\) 13.5944 23.5462i 0.727691 1.26040i −0.230165 0.973152i \(-0.573927\pi\)
0.957857 0.287247i \(-0.0927400\pi\)
\(350\) 27.8698 + 3.20399i 1.48970 + 0.171260i
\(351\) −10.4668 1.84558i −0.558676 0.0985097i
\(352\) 4.33578 + 25.4971i 0.231098 + 1.35900i
\(353\) −5.58477 + 3.22437i −0.297247 + 0.171616i −0.641206 0.767369i \(-0.721565\pi\)
0.343958 + 0.938985i \(0.388232\pi\)
\(354\) 0.375944 0.199306i 0.0199812 0.0105930i
\(355\) 6.91690 7.61648i 0.367111 0.404241i
\(356\) 1.27163 0.130521i 0.0673964 0.00691758i
\(357\) −11.8237 + 4.30347i −0.625776 + 0.227764i
\(358\) 3.02562 + 21.7205i 0.159909 + 1.14796i
\(359\) −21.8079 + 3.84532i −1.15098 + 0.202948i −0.716402 0.697688i \(-0.754212\pi\)
−0.434574 + 0.900636i \(0.643101\pi\)
\(360\) −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
\(364\) −15.0965 6.76553i −0.791271 0.354610i
\(365\) 16.2742 5.21126i 0.851832 0.272770i
\(366\) −12.4075 15.9209i −0.648552 0.832198i
\(367\) −16.5138 13.8568i −0.862016 0.723317i 0.100386 0.994949i \(-0.467992\pi\)
−0.962401 + 0.271631i \(0.912437\pi\)
\(368\) −7.71430 19.3649i −0.402136 1.00946i
\(369\) 9.10412 5.25627i 0.473942 0.273630i
\(370\) −10.7717 + 11.0328i −0.559993 + 0.573567i
\(371\) 4.35963 24.7247i 0.226341 1.28364i
\(372\) 0.440624 + 0.298770i 0.0228453 + 0.0154905i
\(373\) −14.6160 + 25.3156i −0.756787 + 1.31079i 0.187695 + 0.982227i \(0.439898\pi\)
−0.944481 + 0.328565i \(0.893435\pi\)
\(374\) −18.8742 + 6.10716i −0.975959 + 0.315794i
\(375\) −10.3220 5.19873i −0.533025 0.268461i
\(376\) 21.0362 5.16330i 1.08486 0.266277i
\(377\) −10.9878 13.0947i −0.565900 0.674414i
\(378\) −10.7466 + 26.5057i −0.552746 + 1.36331i
\(379\) 7.88618 0.405086 0.202543 0.979273i \(-0.435079\pi\)
0.202543 + 0.979273i \(0.435079\pi\)
\(380\) 2.89069 19.2781i 0.148289 0.988944i
\(381\) 7.47359 0.382884
\(382\) 0.224669 0.554129i 0.0114951 0.0283517i
\(383\) −3.42713 4.08430i −0.175118 0.208698i 0.671345 0.741145i \(-0.265717\pi\)
−0.846463 + 0.532447i \(0.821272\pi\)
\(384\) 10.6430 + 4.84781i 0.543126 + 0.247389i
\(385\) 37.5409 + 15.3539i 1.91326 + 0.782507i
\(386\) 8.17043 2.64373i 0.415864 0.134562i
\(387\) −3.60237 + 6.23949i −0.183119 + 0.317171i
\(388\) −20.6001 + 30.3809i −1.04581 + 1.54235i
\(389\) 4.33138 24.5645i 0.219610 1.24547i −0.653116 0.757258i \(-0.726539\pi\)
0.872726 0.488211i \(-0.162350\pi\)
\(390\) 4.87654 + 4.76114i 0.246933 + 0.241089i
\(391\) 13.8464 7.99424i 0.700244 0.404286i
\(392\) −14.6030 + 19.9456i −0.737564 + 1.00740i
\(393\) 16.4137 + 13.7728i 0.827963 + 0.694744i
\(394\) −8.07614 10.3630i −0.406870 0.522080i
\(395\) −1.22483 3.82502i −0.0616280 0.192458i
\(396\) −7.22272 + 16.1167i −0.362956 + 0.809892i
\(397\) 2.57500 0.454043i 0.129236 0.0227877i −0.108656 0.994079i \(-0.534655\pi\)
0.237892 + 0.971292i \(0.423544\pi\)
\(398\) 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 −0.0612577 0.998122i \(-0.519511\pi\)
0.283814 + 0.958879i \(0.408400\pi\)
\(402\) −1.35459 9.72443i −0.0675611 0.485011i
\(403\) −0.504493 + 0.183621i −0.0251306 + 0.00914679i
\(404\) −0.957883 9.33244i −0.0476565 0.464306i
\(405\) −0.788897 + 0.868687i −0.0392006 + 0.0431654i
\(406\) −40.6429 + 21.5467i −2.01707 + 1.06935i
\(407\) −19.3063 + 11.1465i −0.956976 + 0.552511i
\(408\) −2.50410 + 8.61382i −0.123971 + 0.426448i
\(409\) −17.8969 3.15570i −0.884944 0.156040i −0.287338 0.957829i \(-0.592770\pi\)
−0.597606 + 0.801790i \(0.703881\pi\)
\(410\) −17.1630 1.29470i −0.847622 0.0639408i
\(411\) 10.3298 17.8917i 0.509531 0.882534i
\(412\) −16.7052 4.20836i −0.823007 0.207331i
\(413\) 1.08512 + 0.394952i 0.0533954 + 0.0194343i
\(414\) 2.97644 13.9196i 0.146284 0.684111i
\(415\) −8.49472 10.9688i −0.416990 0.538435i
\(416\) −10.2497 + 5.83468i −0.502534 + 0.286069i
\(417\) −0.603618 −0.0295593
\(418\) 11.5594 25.7041i 0.565387 1.25723i
\(419\) 1.56858i 0.0766301i 0.999266 + 0.0383151i \(0.0121990\pi\)
−0.999266 + 0.0383151i \(0.987801\pi\)
\(420\) 15.2734 10.1539i 0.745267 0.495458i
\(421\) 8.20836 + 9.78234i 0.400051 + 0.476762i 0.928035 0.372492i \(-0.121497\pi\)
−0.527985 + 0.849254i \(0.677052\pi\)
\(422\) 4.51454 21.1127i 0.219765 1.02775i
\(423\) 13.8993 + 5.05894i 0.675808 + 0.245974i
\(424\) −12.3864 12.9207i −0.601537 0.627486i
\(425\) 12.6443 + 8.68634i 0.613336 + 0.421349i
\(426\) 0.242942 6.72202i 0.0117706 0.325683i
\(427\) 9.51212 53.9459i 0.460324 2.61063i
\(428\) −6.37835 22.4504i −0.308309 1.08518i
\(429\) 4.92680 + 8.53346i 0.237868 + 0.411999i
\(430\) 10.6304 5.11288i 0.512644 0.246565i
\(431\) 21.4377 + 17.9884i 1.03262 + 0.866469i 0.991160 0.132671i \(-0.0423553\pi\)
0.0414579 + 0.999140i \(0.486800\pi\)
\(432\) 10.7210 + 17.3448i 0.515815 + 0.834503i
\(433\) 7.43239 2.70517i 0.357178 0.130002i −0.157198 0.987567i \(-0.550246\pi\)
0.514375 + 0.857565i \(0.328024\pi\)
\(434\) 0.199328 + 1.43094i 0.00956803 + 0.0686874i
\(435\) 18.7779 2.55752i 0.900332 0.122624i
\(436\) −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 −0.747735 0.663997i \(-0.768859\pi\)
0.475541 0.879693i \(-0.342252\pi\)
\(440\) 24.6426 15.1284i 1.17479 0.721220i
\(441\) −15.8624 + 5.77344i −0.755352 + 0.274926i
\(442\) −5.56078 7.13538i −0.264499 0.339396i
\(443\) −27.1882 22.8136i −1.29175 1.08391i −0.991508 0.130043i \(-0.958489\pi\)
−0.300241 0.953864i \(-0.597067\pi\)
\(444\) −0.727707 + 10.0544i −0.0345354 + 0.477161i
\(445\) −0.665585 1.26475i −0.0315518 0.0599551i
\(446\) 16.7280 18.5328i 0.792092 0.877554i
\(447\) −15.5328 2.73886i −0.734678 0.129544i
\(448\) 9.58680 + 30.2563i 0.452934 + 1.42947i
\(449\) −17.0572 9.84799i −0.804980 0.464755i 0.0402295 0.999190i \(-0.487191\pi\)
−0.845210 + 0.534435i \(0.820524\pi\)
\(450\) 13.2832 3.17478i 0.626177 0.149660i
\(451\) −23.3840 8.51107i −1.10111 0.400771i
\(452\) 0.0824592 + 0.0800193i 0.00387855 + 0.00376379i
\(453\) 3.48508 + 4.15335i 0.163743 + 0.195142i
\(454\) −6.08549 + 15.0094i −0.285606 + 0.704427i
\(455\) −0.724249 + 18.4816i −0.0339533 + 0.866432i
\(456\) −6.68672 10.8494i −0.313134 0.508068i
\(457\) 7.37551i 0.345012i −0.985008 0.172506i \(-0.944814\pi\)
0.985008 0.172506i \(-0.0551864\pi\)
\(458\) 1.94715 + 0.789460i 0.0909842 + 0.0368891i
\(459\) −11.9811 + 10.0533i −0.559228 + 0.469248i
\(460\) −16.8725 + 16.0765i −0.786683 + 0.749572i
\(461\) −6.47105 2.35527i −0.301387 0.109696i 0.186900 0.982379i \(-0.440156\pi\)
−0.488287 + 0.872683i \(0.662378\pi\)
\(462\) 25.2289 8.16339i 1.17375 0.379795i
\(463\) 2.35608 4.08086i 0.109497 0.189654i −0.806070 0.591820i \(-0.798409\pi\)
0.915566 + 0.402167i \(0.131743\pi\)
\(464\) −4.72253 + 32.4537i −0.219238 + 1.50662i
\(465\) 0.126229 0.581664i 0.00585374 0.0269740i
\(466\) 5.31385 5.88718i 0.246159 0.272718i
\(467\) 13.1780 + 22.8250i 0.609807 + 1.05622i 0.991272 + 0.131833i \(0.0420862\pi\)
−0.381465 + 0.924383i \(0.624580\pi\)
\(468\) −8.03278 0.581387i −0.371315 0.0268746i
\(469\) 17.1274 20.4116i 0.790868 0.942519i
\(470\) −14.1270 19.6699i −0.651631 0.907307i
\(471\) −8.66680 + 3.15446i −0.399345 + 0.145350i
\(472\) 0.684194 0.457864i 0.0314926 0.0210749i
\(473\) 16.7956 2.96151i 0.772261 0.136170i
\(474\) −2.22510 1.39417i −0.102202 0.0640364i
\(475\) −21.2040 + 5.03889i −0.972906 + 0.231200i
\(476\) −21.9065 + 10.6185i −1.00408 + 0.486697i
\(477\) −2.12242 12.0368i −0.0971789 0.551129i
\(478\) −35.1563 + 4.89721i −1.60801 + 0.223993i
\(479\) 6.46310 + 17.7572i 0.295307 + 0.811348i 0.995268 + 0.0971677i \(0.0309783\pi\)
−0.699961 + 0.714181i \(0.746799\pi\)
\(480\) 0.591620 13.0621i 0.0270037 0.596203i
\(481\) −7.78761 6.53458i −0.355085 0.297951i
\(482\) −5.26912 + 2.79341i −0.240002 + 0.127236i
\(483\) −18.5084 + 10.6858i −0.842161 + 0.486222i
\(484\) 19.0524 5.41295i 0.866017 0.246043i
\(485\) 40.1055 + 8.70345i 1.82110 + 0.395203i
\(486\) −0.808848 + 22.3802i −0.0366901 + 1.01519i
\(487\) 29.3650 + 16.9539i 1.33065 + 0.768253i 0.985400 0.170256i \(-0.0544595\pi\)
0.345254 + 0.938509i \(0.387793\pi\)
\(488\) −27.0255 28.1913i −1.22339 1.27616i
\(489\) −2.85636 + 7.84778i −0.129169 + 0.354889i
\(490\) 26.7797 + 6.83301i 1.20978 + 0.308684i
\(491\) −23.7768 28.3361i −1.07303 1.27879i −0.958414 0.285380i \(-0.907880\pi\)
−0.114618 0.993410i \(-0.536564\pi\)
\(492\) −9.11970 + 6.59194i −0.411148 + 0.297188i
\(493\) −25.1549 −1.13292
\(494\) 12.8176 + 0.944374i 0.576689 + 0.0424894i
\(495\) 19.7306 + 0.773191i 0.886823 + 0.0347524i
\(496\) 0.907075 + 0.487988i 0.0407289 + 0.0219113i
\(497\) 13.9837 11.7337i 0.627256 0.526330i
\(498\) −8.86966 1.89661i −0.397459 0.0849890i
\(499\) −14.0038 + 38.4750i −0.626894 + 1.72238i 0.0625524 + 0.998042i \(0.480076\pi\)
−0.689447 + 0.724336i \(0.742146\pi\)
\(500\) −20.8933 7.96672i −0.934378 0.356282i
\(501\) −3.12258 + 5.40846i −0.139506 + 0.241632i
\(502\) −0.321004 + 8.88193i −0.0143271 + 0.396420i
\(503\) −1.93511 + 10.9746i −0.0862825 + 0.489332i 0.910790 + 0.412870i \(0.135474\pi\)
−0.997072 + 0.0764623i \(0.975638\pi\)
\(504\) −6.05012 + 20.8118i −0.269494 + 0.927030i
\(505\) −9.28196 + 4.88469i −0.413042 + 0.217366i
\(506\) −29.7698 + 15.7824i −1.32343 + 0.701613i
\(507\) 5.74963 6.85214i 0.255350 0.304314i
\(508\) 14.3842 1.47639i 0.638194 0.0655043i
\(509\) 9.13289 + 25.0924i 0.404808 + 1.11220i 0.959883 + 0.280401i \(0.0904675\pi\)
−0.555075 + 0.831801i \(0.687310\pi\)
\(510\) 9.97989 0.993668i 0.441917 0.0440004i
\(511\) 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
\(515\) 2.59926 + 19.0844i 0.114537 + 0.840957i
\(516\) 3.15391 7.03759i 0.138843 0.309812i
\(517\) −11.9752 32.9017i −0.526671 1.44702i
\(518\) −21.5785 + 16.8167i −0.948105 + 0.738882i
\(519\) 10.6204 12.6569i 0.466182 0.555574i
\(520\) 10.3262 + 8.20024i 0.452836 + 0.359604i
\(521\) −24.2785 + 14.0172i −1.06366 + 0.614105i −0.926443 0.376436i \(-0.877150\pi\)
−0.137218 + 0.990541i \(0.543816\pi\)
\(522\) −15.0054 + 16.6244i −0.656770 + 0.727631i
\(523\) 11.0297 + 1.94483i 0.482294 + 0.0850414i 0.409509 0.912306i \(-0.365700\pi\)
0.0727853 + 0.997348i \(0.476811\pi\)
\(524\) 34.3117 + 23.2654i 1.49891 + 1.01635i
\(525\) −16.9015 11.6109i −0.737640 0.506743i
\(526\) 32.5304 10.5260i 1.41839 0.458954i
\(527\) −0.270210 + 0.742395i −0.0117705 + 0.0323392i
\(528\) 5.92941 17.9506i 0.258044 0.781199i
\(529\) 3.18427 2.67192i 0.138446 0.116170i
\(530\) −8.23946 + 18.2365i −0.357899 + 0.792145i
\(531\) 0.562179 0.0243965
\(532\) 9.69781 33.1991i 0.420454 1.43936i
\(533\) 11.3479i 0.491532i
\(534\) −0.865911 0.351079i −0.0374717 0.0151927i
\(535\) −20.6303 + 15.9771i −0.891927 + 0.690750i
\(536\) −4.52818 18.4487i −0.195588 0.796861i
\(537\) 5.48250 15.0630i 0.236587 0.650018i
\(538\) −10.3132 31.8730i −0.444635 1.37414i
\(539\) 34.6050 + 19.9792i 1.49054 + 0.860565i
\(540\) 13.5233 18.3534i 0.581951 0.789806i
\(541\) 2.40757 13.6540i 0.103509 0.587031i −0.888296 0.459272i \(-0.848110\pi\)
0.991805 0.127759i \(-0.0407785\pi\)
\(542\) −1.07473 + 1.19068i −0.0461634 + 0.0511441i
\(543\) −9.94251 17.2209i −0.426674 0.739021i
\(544\) −3.11790 + 17.0734i −0.133679 + 0.732015i
\(545\) 30.6963 + 27.8768i 1.31488 + 1.19411i
\(546\) 7.43304 + 9.53780i 0.318105 + 0.408180i
\(547\) −0.202171 0.555462i −0.00864423 0.0237498i 0.935295 0.353868i \(-0.115134\pi\)
−0.943940 + 0.330118i \(0.892911\pi\)
\(548\) 16.3469 36.4762i 0.698305 1.55819i
\(549\) −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
\(554\) −32.8614 + 4.57753i −1.39615 + 0.194481i
\(555\) 10.7337 3.43709i 0.455620 0.145897i
\(556\) −1.16176 + 0.119243i −0.0492696 + 0.00505705i
\(557\) 9.63929 11.4877i 0.408430 0.486748i −0.522141 0.852859i \(-0.674867\pi\)
0.930571 + 0.366111i \(0.119311\pi\)
\(558\) 0.329450 + 0.621431i 0.0139467 + 0.0263073i
\(559\) 3.88862 + 6.73529i 0.164471 + 0.284873i
\(560\) 27.3903 22.5600i 1.15745 0.953334i
\(561\) 14.2799 + 2.51793i 0.602898 + 0.106307i
\(562\) 0.127795 3.53600i 0.00539071 0.149157i
\(563\) 10.0719 + 5.81500i 0.424479 + 0.245073i 0.696992 0.717079i \(-0.254521\pi\)
−0.272513 + 0.962152i \(0.587855\pi\)
\(564\) −15.3530 3.86772i −0.646480 0.162860i
\(565\) 0.0486309 0.118905i 0.00204592 0.00500235i
\(566\) −1.40707 + 6.58028i −0.0591434 + 0.276590i
\(567\) −1.59489 + 1.33827i −0.0669793 + 0.0562023i
\(568\) −0.860340 12.9856i −0.0360991 0.544865i
\(569\) 34.7145i 1.45531i 0.685945 + 0.727654i \(0.259389\pi\)
−0.685945 + 0.727654i \(0.740611\pi\)
\(570\) −8.46706 + 11.4602i −0.354646 + 0.480013i
\(571\) 17.7069i 0.741009i 0.928831 + 0.370505i \(0.120815\pi\)
−0.928831 + 0.370505i \(0.879185\pi\)
\(572\) 11.1682 + 15.4508i 0.466966 + 0.646029i
\(573\) −0.334810 + 0.280939i −0.0139869 + 0.0117364i
\(574\) −29.8629 6.38562i −1.24645 0.266530i
\(575\) 23.7122 + 10.8004i 0.988869 + 0.450409i
\(576\) 9.42361 + 12.2452i 0.392650 + 0.510217i
\(577\) −32.1774 18.5777i −1.33956 0.773398i −0.352822 0.935691i \(-0.614778\pi\)
−0.986743 + 0.162293i \(0.948111\pi\)
\(578\) 10.7224 + 0.387519i 0.445992 + 0.0161187i
\(579\) −6.18163 1.08999i −0.256900 0.0452983i
\(580\) 35.6359 8.63191i 1.47970 0.358420i
\(581\) −12.3075 21.3173i −0.510602 0.884389i
\(582\) 23.7051 12.5672i 0.982609 0.520927i
\(583\) −18.5975 + 22.1636i −0.770228 + 0.917922i
\(584\) 9.54641 19.3927i 0.395033 0.802477i
\(585\) 2.74600 + 8.57548i 0.113533 + 0.354552i
\(586\) −0.492504 3.53561i −0.0203452 0.146055i
\(587\) 2.19964 + 12.4748i 0.0907889 + 0.514889i 0.995957 + 0.0898349i \(0.0286339\pi\)
−0.905168 + 0.425054i \(0.860255\pi\)
\(588\) 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
\(592\) 0.585635 + 19.4951i 0.0240695 + 0.801244i
\(593\) 1.55303 + 4.26691i 0.0637752 + 0.175221i 0.967487 0.252920i \(-0.0813909\pi\)
−0.903712 + 0.428141i \(0.859169\pi\)
\(594\) 25.9980 20.2609i 1.06671 0.831314i
\(595\) 20.1490 + 18.2983i 0.826028 + 0.750156i
\(596\) −30.4365 2.20290i −1.24673 0.0902344i
\(597\) −7.28766 12.6226i −0.298264 0.516608i
\(598\) −11.4062 10.2953i −0.466432 0.421008i
\(599\) −0.980322 + 5.55968i −0.0400549 + 0.227162i −0.998263 0.0589082i \(-0.981238\pi\)
0.958209 + 0.286071i \(0.0923492\pi\)
\(600\) −13.7971 + 4.83229i −0.563266 + 0.197277i
\(601\) −33.5942 19.3956i −1.37034 0.791164i −0.379366 0.925247i \(-0.623858\pi\)
−0.990970 + 0.134083i \(0.957191\pi\)
\(602\) 19.9127 6.44320i 0.811580 0.262605i
\(603\) 4.43666 12.1896i 0.180675 0.496400i
\(604\) 7.52809 + 7.30534i 0.306314 + 0.297250i
\(605\) −13.5589 17.5078i −0.551246 0.711794i
\(606\) −2.57655 + 6.35487i −0.104665 + 0.258149i
\(607\) 4.10304i 0.166537i −0.996527 0.0832686i \(-0.973464\pi\)
0.996527 0.0832686i \(-0.0265359\pi\)
\(608\) −15.0130 19.5604i −0.608856 0.793281i
\(609\) 33.6243 1.36253
\(610\) −17.9774 + 39.7897i −0.727884 + 1.61104i
\(611\) 12.2312 10.2632i 0.494822 0.415205i
\(612\) −8.25362 + 8.50528i −0.333633 + 0.343806i
\(613\) −10.9979 + 30.2165i −0.444202 + 1.22043i 0.492502 + 0.870312i \(0.336083\pi\)
−0.936704 + 0.350123i \(0.886140\pi\)
\(614\) −8.71989 26.9488i −0.351906 1.08756i
\(615\) 10.6407 + 6.71225i 0.429074 + 0.270664i
\(616\) 46.9445 20.6957i 1.89145 0.833853i
\(617\) −24.8937 4.38943i −1.00218 0.176712i −0.351602 0.936150i \(-0.614363\pi\)
−0.650580 + 0.759438i \(0.725474\pi\)
\(618\) 9.34747 + 8.43716i 0.376011 + 0.339392i
\(619\) −14.5190 + 8.38253i −0.583567 + 0.336922i −0.762550 0.646930i \(-0.776053\pi\)
0.178983 + 0.983852i \(0.442719\pi\)
\(620\) 0.128042 1.14444i 0.00514230 0.0459620i
\(621\) −17.0757 + 20.3501i −0.685226 + 0.816621i
\(622\) −12.1118 15.5414i −0.485639 0.623154i
\(623\) −0.867279 2.38283i −0.0347468 0.0954660i
\(624\) 8.61693 0.258854i 0.344953 0.0103624i
\(625\) 0.446555 + 24.9960i 0.0178622 + 0.999840i
\(626\) 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
\(630\) 24.1123 2.40079i 0.960657 0.0956499i
\(631\) 6.84502 + 18.8065i 0.272496 + 0.748677i 0.998160 + 0.0606280i \(0.0193103\pi\)
−0.725664 + 0.688049i \(0.758467\pi\)
\(632\) −4.55799 2.24375i −0.181307 0.0892515i
\(633\) −10.1439 + 12.0890i −0.403183 + 0.480495i
\(634\) −7.48375 14.1164i −0.297218 0.560633i
\(635\) −7.52880 14.3063i −0.298771 0.567730i
\(636\) 3.57551 + 12.5850i 0.141778 + 0.499027i
\(637\) −3.16418 + 17.9449i −0.125369 + 0.711005i
\(638\) 52.9776 + 1.91467i 2.09740 + 0.0758026i
\(639\) 4.44345 7.69628i 0.175780 0.304460i
\(640\) −1.44173 25.2571i −0.0569893 0.998375i
\(641\) 9.77899 26.8676i 0.386247 1.06120i −0.582430 0.812881i \(-0.697898\pi\)
0.968677 0.248324i \(-0.0798797\pi\)
\(642\) −3.56719 + 16.6823i −0.140786 + 0.658398i
\(643\) 2.49978 2.09757i 0.0985819 0.0827200i −0.592165 0.805817i \(-0.701726\pi\)
0.690747 + 0.723097i \(0.257282\pi\)
\(644\) −33.5115 + 24.2229i −1.32054 + 0.954517i
\(645\) −8.61565 0.337626i −0.339241 0.0132940i
\(646\) 13.1887 13.5557i 0.518904 0.533343i
\(647\) −3.62076 −0.142347 −0.0711733 0.997464i \(-0.522674\pi\)
−0.0711733 + 0.997464i \(0.522674\pi\)
\(648\) 0.0981249 + 1.48106i 0.00385471 + 0.0581815i
\(649\) −0.855396 1.01942i −0.0335772 0.0400158i
\(650\) 4.20145 14.1312i 0.164795 0.554273i
\(651\) 0.361186 0.992352i 0.0141560 0.0388933i
\(652\) −3.94722 + 15.6686i −0.154585 + 0.613630i
\(653\) 28.0083 + 16.1706i 1.09605 + 0.632805i 0.935181 0.354170i \(-0.115237\pi\)
0.160870 + 0.986976i \(0.448570\pi\)
\(654\) 27.0914 + 0.979115i 1.05936 + 0.0382864i
\(655\) 9.82955 45.2945i 0.384072 1.76980i
\(656\) −16.2501 + 14.4889i −0.634461 + 0.565695i
\(657\) 12.7827 7.38012i 0.498702 0.287926i
\(658\) −20.1258 37.9627i −0.784586 1.47994i
\(659\) −27.5520 23.1188i −1.07327 0.900582i −0.0779270 0.996959i \(-0.524830\pi\)
−0.995345 + 0.0963770i \(0.969275\pi\)
\(660\) −21.0938 + 1.33310i −0.821076 + 0.0518908i
\(661\) 16.7489 + 46.0171i 0.651455 + 1.78986i 0.612299 + 0.790626i \(0.290245\pi\)
0.0391562 + 0.999233i \(0.487533\pi\)
\(662\) 5.71320 + 41.0142i 0.222050 + 1.59406i
\(663\) 1.14822 + 6.51191i 0.0445933 + 0.252901i
\(664\) −17.4458 1.89815i −0.677028 0.0736625i
\(665\) −38.4835 + 3.78140i −1.49233 + 0.146636i
\(666\) −7.07153 + 11.2862i −0.274016 + 0.437331i
\(667\) −42.0770 + 7.41931i −1.62923 + 0.287277i
\(668\) −4.94148 + 11.0263i −0.191192 + 0.426621i
\(669\) −17.1481 + 6.24139i −0.662983 + 0.241306i
\(670\) −17.2504 + 12.3893i −0.666442 + 0.478641i
\(671\) −40.5771 + 48.3579i −1.56646 + 1.86684i
\(672\) 4.16767 22.8218i 0.160771 0.880371i
\(673\) −7.23324 12.5283i −0.278821 0.482932i 0.692271 0.721638i \(-0.256610\pi\)
−0.971092 + 0.238705i \(0.923277\pi\)
\(674\) −17.4064 15.7112i −0.670469 0.605174i
\(675\) −24.6779 6.37674i −0.949852 0.245441i
\(676\) 9.71247 14.3239i 0.373557 0.550919i
\(677\) 18.0848 31.3239i 0.695057 1.20387i −0.275104 0.961414i \(-0.588712\pi\)
0.970161 0.242460i \(-0.0779542\pi\)
\(678\) −0.0258562 0.0799084i −0.000993000 0.00306886i
\(679\) 68.4222 + 24.9037i 2.62580 + 0.955715i
\(680\) 19.0116 3.88398i 0.729063 0.148944i
\(681\) 9.06882 7.60964i 0.347518 0.291602i
\(682\) 0.625584 1.54296i 0.0239548 0.0590829i
\(683\) 35.2724i 1.34966i −0.737973 0.674830i \(-0.764217\pi\)
0.737973 0.674830i \(-0.235783\pi\)
\(684\) −1.09138 16.8025i −0.0417299 0.642460i
\(685\) −44.6554 1.74993i −1.70620 0.0668615i
\(686\) 9.04622 + 3.66774i 0.345386 + 0.140035i
\(687\) −0.987186 1.17648i −0.0376635 0.0448856i
\(688\) 4.67996 14.1680i 0.178422 0.540151i
\(689\) −12.3981 4.51253i −0.472329 0.171914i
\(690\) 16.4004 4.60564i 0.624354 0.175334i
\(691\) −16.0220 9.25033i −0.609507 0.351899i 0.163265 0.986582i \(-0.447797\pi\)
−0.772773 + 0.634683i \(0.781131\pi\)
\(692\) 17.9403 26.4582i 0.681988 1.00579i
\(693\) 34.5016 + 6.08356i 1.31061 + 0.231095i
\(694\) −11.8554 10.7009i −0.450026 0.406200i
\(695\) 0.608077 + 1.15548i 0.0230657 + 0.0438297i
\(696\) 14.1610 19.3419i 0.536772 0.733151i
\(697\) −12.7923 10.7340i −0.484543 0.406580i
\(698\) −30.3284 + 23.6357i −1.14795 + 0.894625i
\(699\) −5.44730 + 1.98266i −0.206036 + 0.0749909i
\(700\) −34.8233 19.0083i −1.31620 0.718447i
\(701\) 1.38515 + 7.85560i 0.0523165 + 0.296702i 0.999728 0.0233157i \(-0.00742230\pi\)
−0.947412 + 0.320018i \(0.896311\pi\)
\(702\) 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
\(705\) 2.38886 + 17.5396i 0.0899698 + 0.660579i
\(706\) 9.03267 1.25823i 0.339949 0.0473543i
\(707\) −17.4874 + 6.36491i −0.657683 + 0.239377i
\(708\) −0.598614 + 0.0614419i −0.0224973 + 0.00230913i
\(709\) 21.0922 + 17.6985i 0.792136 + 0.664681i 0.946273 0.323369i \(-0.104815\pi\)
−0.154137 + 0.988049i \(0.549260\pi\)
\(710\) −13.1124 + 6.30663i −0.492099 + 0.236684i
\(711\) −1.73459 3.00440i −0.0650523 0.112674i
\(712\) −1.73594 0.504651i −0.0650572 0.0189126i
\(713\) −0.233018 + 1.32151i −0.00872660 + 0.0494910i
\(714\) 17.7828 + 0.642690i 0.665503 + 0.0240521i
\(715\) 11.3720 18.0276i 0.425289 0.674196i
\(716\) 7.57630 30.0744i 0.283140 1.12393i
\(717\) 24.3807 + 8.87386i 0.910515 + 0.331400i
\(718\) 30.6245 + 6.54846i 1.14290 + 0.244386i
\(719\) −26.5671 31.6614i −0.990785 1.18077i −0.983520 0.180798i \(-0.942132\pi\)
−0.00726446 0.999974i \(-0.502312\pi\)
\(720\) 8.77399 14.8813i 0.326987 0.554594i
\(721\) 34.1730i 1.27267i
\(722\) 1.70692 + 26.8158i 0.0635251 + 0.997980i
\(723\) 4.35919 0.162120
\(724\) −22.5380 31.1804i −0.837616 1.15881i
\(725\) −23.8124 33.3693i −0.884370 1.23930i
\(726\) −14.1573 3.02727i −0.525428 0.112353i
\(727\) −20.2269 7.36199i −0.750174 0.273041i −0.0614953 0.998107i \(-0.519587\pi\)
−0.688679 + 0.725066i \(0.741809\pi\)
\(728\) 16.1903 + 16.8887i 0.600052 + 0.625936i
\(729\) 7.39752 12.8129i 0.273982 0.474551i
\(730\) −24.0979 1.81784i −0.891905 0.0672813i
\(731\) 11.2709 + 1.98736i 0.416867 + 0.0735050i
\(732\) 7.80128 + 27.4587i 0.288344 + 1.01490i
\(733\) −30.6070 + 17.6710i −1.13049 + 0.652692i −0.944059 0.329776i \(-0.893027\pi\)
−0.186436 + 0.982467i \(0.559694\pi\)
\(734\) 14.2798 + 26.9355i 0.527076 + 0.994208i
\(735\) −14.9550 13.5814i −0.551623 0.500956i
\(736\) −0.179656 + 29.4785i −0.00662219 + 1.08659i
\(737\) −28.8546 + 10.5022i −1.06287 + 0.386854i
\(738\) −14.7248 + 2.05114i −0.542027 + 0.0755034i
\(739\) 30.7103 5.41506i 1.12970 0.199196i 0.422603 0.906315i \(-0.361117\pi\)
0.707095 + 0.707119i \(0.250006\pi\)
\(740\) 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 −0.0648267 0.997897i \(-0.520649\pi\)
0.280384 + 0.959888i \(0.409538\pi\)
\(744\) −0.418719 0.625700i −0.0153510 0.0229393i
\(745\) 10.4047 + 32.4929i 0.381199 + 1.19045i
\(746\) 32.6075 25.4119i 1.19385 0.930394i
\(747\) −9.17987 7.70282i −0.335874 0.281832i
\(748\) 27.9814 + 2.02521i 1.02310 + 0.0740490i
\(749\) −40.0941 + 23.1483i −1.46501 + 0.845821i
\(750\) 10.7654 + 12.2982i 0.393097 + 0.449067i
\(751\) −3.87069 + 21.9518i −0.141244 + 0.801032i 0.829063 + 0.559155i \(0.188874\pi\)
−0.970307 + 0.241877i \(0.922237\pi\)
\(752\) −30.3135 4.41110i −1.10542 0.160856i
\(753\) 3.24822 5.62608i 0.118372 0.205026i
\(754\) 7.44231 + 23.0004i 0.271033 + 0.837627i
\(755\) 4.43975 10.8554i 0.161579 0.395067i
\(756\) 28.1688 29.0277i 1.02449 1.05573i
\(757\) 2.83015 + 3.37284i 0.102863 + 0.122588i 0.815020 0.579433i \(-0.196726\pi\)
−0.712157 + 0.702021i \(0.752281\pi\)
\(758\) −10.3355 4.19049i −0.375404 0.152205i
\(759\) 24.6289 0.893972
\(760\) −14.0323 + 23.7296i −0.509006 + 0.860763i
\(761\) 13.2216 0.479284 0.239642 0.970861i \(-0.422970\pi\)
0.239642 + 0.970861i \(0.422970\pi\)
\(762\) −9.79481 3.97125i −0.354828 0.143863i
\(763\) 47.2898 + 56.3578i 1.71201 + 2.04029i
\(764\) −0.588897 + 0.606853i −0.0213056 + 0.0219552i
\(765\) 12.2645 + 5.01605i 0.443422 + 0.181356i
\(766\) 2.32128 + 7.17391i 0.0838714 + 0.259204i
\(767\) 0.303425 0.525548i 0.0109561 0.0189765i
\(768\) −11.3727 12.0089i −0.410376