Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [547,2,Mod(13,547)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(547, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("547.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 547 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 547.h (of order \(21\), degree \(12\), 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: | \(4.36781699056\) |
Analytic rank: | \(0\) |
Dimension: | \(540\) |
Relative dimension: | \(45\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 13.2 | ||
Character | \(\chi\) | \(=\) | 547.13 |
Dual form | 547.2.h.a.505.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{11}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.198483 | + | 2.64858i | −0.140349 | + | 1.87283i | 0.272674 | + | 0.962107i | \(0.412092\pi\) |
−0.413023 | + | 0.910721i | \(0.635527\pi\) | |||||||
\(3\) | −1.46769 | + | 1.84043i | −0.847372 | + | 1.06257i | 0.149896 | + | 0.988702i | \(0.452106\pi\) |
−0.997268 | + | 0.0738688i | \(0.976465\pi\) | |||||||
\(4\) | −4.99791 | − | 0.753313i | −2.49895 | − | 0.376657i | ||||
\(5\) | 1.33165 | − | 1.23559i | 0.595533 | − | 0.552574i | −0.323764 | − | 0.946138i | \(-0.604948\pi\) |
0.919297 | + | 0.393564i | \(0.128758\pi\) | |||||||
\(6\) | −4.58320 | − | 4.25259i | −1.87108 | − | 1.73611i | ||||
\(7\) | −1.49769 | + | 0.225741i | −0.566075 | + | 0.0853221i | −0.425844 | − | 0.904797i | \(-0.640023\pi\) |
−0.140231 | + | 0.990119i | \(0.544785\pi\) | |||||||
\(8\) | 1.80518 | − | 7.90900i | 0.638226 | − | 2.79625i | ||||
\(9\) | −0.565489 | − | 2.47757i | −0.188496 | − | 0.825857i | ||||
\(10\) | 3.00825 | + | 3.77223i | 0.951294 | + | 1.19288i | ||||
\(11\) | 2.79702 | − | 4.84459i | 0.843334 | − | 1.46070i | −0.0437260 | − | 0.999044i | \(-0.513923\pi\) |
0.887060 | − | 0.461654i | \(-0.152744\pi\) | |||||||
\(12\) | 8.72180 | − | 8.09265i | 2.51777 | − | 2.33615i | ||||
\(13\) | 0.365334 | − | 0.249080i | 0.101325 | − | 0.0690825i | −0.511597 | − | 0.859225i | \(-0.670946\pi\) |
0.612923 | + | 0.790143i | \(0.289994\pi\) | |||||||
\(14\) | −0.300625 | − | 4.01156i | −0.0803455 | − | 1.07214i | ||||
\(15\) | 0.319564 | + | 4.26428i | 0.0825110 | + | 1.10103i | ||||
\(16\) | 10.9297 | + | 3.37136i | 2.73242 | + | 0.842840i | ||||
\(17\) | −6.48257 | − | 1.99961i | −1.57225 | − | 0.484976i | −0.618556 | − | 0.785740i | \(-0.712282\pi\) |
−0.953699 | + | 0.300764i | \(0.902758\pi\) | |||||||
\(18\) | 6.67428 | − | 1.00599i | 1.57314 | − | 0.237113i | ||||
\(19\) | −0.224076 | − | 2.99008i | −0.0514065 | − | 0.685972i | −0.962066 | − | 0.272815i | \(-0.912045\pi\) |
0.910660 | − | 0.413157i | \(-0.135574\pi\) | |||||||
\(20\) | −7.58627 | + | 5.17223i | −1.69634 | + | 1.15655i | ||||
\(21\) | 1.78269 | − | 3.08771i | 0.389015 | − | 0.673794i | ||||
\(22\) | 12.2761 | + | 8.36970i | 2.61727 | + | 1.78443i | ||||
\(23\) | −0.289476 | − | 3.86278i | −0.0603598 | − | 0.805446i | −0.942446 | − | 0.334358i | \(-0.891481\pi\) |
0.882086 | − | 0.471088i | \(-0.156139\pi\) | |||||||
\(24\) | 11.9065 | + | 14.9303i | 2.43040 | + | 3.04763i | ||||
\(25\) | −0.127042 | + | 1.69525i | −0.0254083 | + | 0.339051i | ||||
\(26\) | 0.587196 | + | 1.01705i | 0.115159 | + | 0.199461i | ||||
\(27\) | −0.972877 | − | 0.468513i | −0.187230 | − | 0.0901653i | ||||
\(28\) | 7.65539 | 1.44673 | ||||||||
\(29\) | −1.26282 | + | 5.53278i | −0.234500 | + | 1.02741i | 0.711358 | + | 0.702830i | \(0.248081\pi\) |
−0.945858 | + | 0.324582i | \(0.894776\pi\) | |||||||
\(30\) | −11.3577 | −2.07362 | ||||||||
\(31\) | 3.36920 | − | 4.22484i | 0.605126 | − | 0.758803i | −0.381041 | − | 0.924558i | \(-0.624434\pi\) |
0.986167 | + | 0.165754i | \(0.0530059\pi\) | |||||||
\(32\) | −5.17109 | + | 13.1757i | −0.914127 | + | 2.32916i | ||||
\(33\) | 4.81094 | + | 12.2581i | 0.837477 | + | 2.13386i | ||||
\(34\) | 6.58280 | − | 16.7727i | 1.12894 | − | 2.87650i | ||||
\(35\) | −1.71549 | + | 2.15115i | −0.289970 | + | 0.363611i | ||||
\(36\) | 0.959876 | + | 12.8087i | 0.159979 | + | 2.13478i | ||||
\(37\) | −6.43854 | − | 1.98603i | −1.05849 | − | 0.326501i | −0.283827 | − | 0.958875i | \(-0.591604\pi\) |
−0.774663 | + | 0.632374i | \(0.782080\pi\) | |||||||
\(38\) | 7.96394 | 1.29192 | ||||||||
\(39\) | −0.0777831 | + | 1.03794i | −0.0124553 | + | 0.166204i | ||||
\(40\) | −7.36844 | − | 12.7625i | −1.16505 | − | 2.01793i | ||||
\(41\) | 2.07558 | − | 3.59501i | 0.324152 | − | 0.561447i | −0.657189 | − | 0.753726i | \(-0.728255\pi\) |
0.981340 | + | 0.192279i | \(0.0615879\pi\) | |||||||
\(42\) | 7.82421 | + | 5.33446i | 1.20730 | + | 0.823125i | ||||
\(43\) | −7.52267 | + | 1.13386i | −1.14720 | + | 0.172912i | −0.695002 | − | 0.719007i | \(-0.744597\pi\) |
−0.452194 | + | 0.891919i | \(0.649359\pi\) | |||||||
\(44\) | −17.6287 | + | 22.1057i | −2.65763 | + | 3.33257i | ||||
\(45\) | −3.81431 | − | 2.60055i | −0.568603 | − | 0.387667i | ||||
\(46\) | 10.2883 | 1.51693 | ||||||||
\(47\) | −3.92461 | − | 6.79762i | −0.572463 | − | 0.991535i | −0.996312 | − | 0.0858024i | \(-0.972655\pi\) |
0.423849 | − | 0.905733i | \(-0.360679\pi\) | |||||||
\(48\) | −22.2461 | + | 15.1671i | −3.21095 | + | 2.18919i | ||||
\(49\) | −4.49688 | + | 1.38710i | −0.642412 | + | 0.198158i | ||||
\(50\) | −4.46480 | − | 0.672960i | −0.631417 | − | 0.0951709i | ||||
\(51\) | 13.1945 | − | 8.99589i | 1.84761 | − | 1.25968i | ||||
\(52\) | −2.01354 | + | 0.969670i | −0.279228 | + | 0.134469i | ||||
\(53\) | −1.53158 | + | 1.04421i | −0.210378 | + | 0.143434i | −0.663925 | − | 0.747799i | \(-0.731111\pi\) |
0.453547 | + | 0.891232i | \(0.350158\pi\) | |||||||
\(54\) | 1.43399 | − | 2.48375i | 0.195142 | − | 0.337995i | ||||
\(55\) | −2.26127 | − | 9.90729i | −0.304910 | − | 1.33590i | ||||
\(56\) | −0.918217 | + | 12.2528i | −0.122702 | + | 1.63734i | ||||
\(57\) | 5.83190 | + | 3.97612i | 0.772454 | + | 0.526650i | ||||
\(58\) | −14.4034 | − | 4.44285i | −1.89125 | − | 0.583374i | ||||
\(59\) | −0.690824 | + | 1.19654i | −0.0899376 | + | 0.155777i | −0.907485 | − | 0.420085i | \(-0.862000\pi\) |
0.817547 | + | 0.575862i | \(0.195333\pi\) | |||||||
\(60\) | 1.61519 | − | 21.5532i | 0.208520 | − | 2.78251i | ||||
\(61\) | −0.655073 | − | 0.202063i | −0.0838736 | − | 0.0258716i | 0.252534 | − | 0.967588i | \(-0.418736\pi\) |
−0.336408 | + | 0.941716i | \(0.609212\pi\) | |||||||
\(62\) | 10.5211 | + | 9.76214i | 1.33618 | + | 1.23979i | ||||
\(63\) | 1.40622 | + | 3.58299i | 0.177167 | + | 0.451414i | ||||
\(64\) | −13.2603 | − | 6.38581i | −1.65753 | − | 0.798226i | ||||
\(65\) | 0.178736 | − | 0.783093i | 0.0221695 | − | 0.0971308i | ||||
\(66\) | −33.4213 | + | 10.3091i | −4.11388 | + | 1.26896i | ||||
\(67\) | 10.8193 | + | 3.33731i | 1.32179 | + | 0.407717i | 0.873784 | − | 0.486315i | \(-0.161659\pi\) |
0.448003 | + | 0.894032i | \(0.352135\pi\) | |||||||
\(68\) | 30.8930 | + | 14.8773i | 3.74632 | + | 1.80413i | ||||
\(69\) | 7.53403 | + | 5.13661i | 0.906990 | + | 0.618375i | ||||
\(70\) | −5.35699 | − | 4.97056i | −0.640283 | − | 0.594096i | ||||
\(71\) | 15.5824 | + | 4.80654i | 1.84929 | + | 0.570432i | 0.999028 | + | 0.0440784i | \(0.0140351\pi\) |
0.850266 | + | 0.526353i | \(0.176441\pi\) | |||||||
\(72\) | −20.6159 | −2.42961 | ||||||||
\(73\) | 0.168670 | − | 2.25075i | 0.0197413 | − | 0.263430i | −0.978596 | − | 0.205790i | \(-0.934024\pi\) |
0.998337 | − | 0.0576396i | \(-0.0183574\pi\) | |||||||
\(74\) | 6.53809 | − | 16.6588i | 0.760038 | − | 1.93655i | ||||
\(75\) | −2.93353 | − | 2.72192i | −0.338735 | − | 0.314300i | ||||
\(76\) | −1.13256 | + | 15.1130i | −0.129913 | + | 1.73357i | ||||
\(77\) | −3.09546 | + | 7.88711i | −0.352761 | + | 0.898820i | ||||
\(78\) | −2.73363 | − | 0.412029i | −0.309523 | − | 0.0466531i | ||||
\(79\) | −8.66189 | − | 10.8617i | −0.974538 | − | 1.22203i | −0.975039 | − | 0.222033i | \(-0.928731\pi\) |
0.000500771 | − | 1.00000i | \(-0.499841\pi\) | |||||||
\(80\) | 18.7202 | − | 9.01516i | 2.09298 | − | 1.00793i | ||||
\(81\) | 9.15900 | − | 4.41074i | 1.01767 | − | 0.490083i | ||||
\(82\) | 9.10971 | + | 6.21089i | 1.00600 | + | 0.685878i | ||||
\(83\) | 0.103491 | − | 0.179252i | 0.0113596 | − | 0.0196754i | −0.860290 | − | 0.509805i | \(-0.829717\pi\) |
0.871649 | + | 0.490130i | \(0.163051\pi\) | |||||||
\(84\) | −11.2357 | + | 14.0892i | −1.22592 | + | 1.53726i | ||||
\(85\) | −11.1032 | + | 5.34704i | −1.20432 | + | 0.579968i | ||||
\(86\) | −1.50999 | − | 20.1494i | −0.162827 | − | 2.17277i | ||||
\(87\) | −8.32925 | − | 10.4445i | −0.892989 | − | 1.11977i | ||||
\(88\) | −33.2667 | − | 30.8670i | −3.54624 | − | 3.29043i | ||||
\(89\) | 1.89945 | − | 8.32202i | 0.201341 | − | 0.882132i | −0.768781 | − | 0.639513i | \(-0.779136\pi\) |
0.970121 | − | 0.242620i | \(-0.0780067\pi\) | |||||||
\(90\) | 7.64483 | − | 9.58632i | 0.805836 | − | 1.01049i | ||||
\(91\) | −0.490931 | + | 0.455517i | −0.0514635 | + | 0.0477512i | ||||
\(92\) | −1.46311 | + | 19.5239i | −0.152540 | + | 2.03551i | ||||
\(93\) | 2.83057 | + | 12.4015i | 0.293516 | + | 1.28598i | ||||
\(94\) | 18.7830 | − | 9.04542i | 1.93732 | − | 0.932964i | ||||
\(95\) | −3.99292 | − | 3.70489i | −0.409665 | − | 0.380113i | ||||
\(96\) | −16.6594 | − | 28.8549i | −1.70029 | − | 2.94499i | ||||
\(97\) | 1.17674 | + | 15.7025i | 0.119480 | + | 1.59434i | 0.658850 | + | 0.752275i | \(0.271043\pi\) |
−0.539370 | + | 0.842069i | \(0.681338\pi\) | |||||||
\(98\) | −2.78130 | − | 12.1857i | −0.280953 | − | 1.23094i | ||||
\(99\) | −13.5845 | − | 4.19026i | −1.36529 | − | 0.421137i | ||||
\(100\) | 1.91200 | − | 8.37702i | 0.191200 | − | 0.837702i | ||||
\(101\) | 2.67073 | + | 11.7012i | 0.265748 | + | 1.16432i | 0.914907 | + | 0.403664i | \(0.132264\pi\) |
−0.649160 | + | 0.760652i | \(0.724879\pi\) | |||||||
\(102\) | 21.2074 | + | 36.7323i | 2.09985 | + | 3.63704i | ||||
\(103\) | 11.5486 | − | 5.56153i | 1.13792 | − | 0.547994i | 0.232537 | − | 0.972588i | \(-0.425297\pi\) |
0.905384 | + | 0.424594i | \(0.139583\pi\) | |||||||
\(104\) | −1.31048 | − | 3.33906i | −0.128504 | − | 0.327422i | ||||
\(105\) | −1.44123 | − | 6.31445i | −0.140650 | − | 0.616227i | ||||
\(106\) | −2.46168 | − | 4.26376i | −0.239100 | − | 0.414133i | ||||
\(107\) | −17.0913 | −1.65228 | −0.826138 | − | 0.563468i | \(-0.809467\pi\) | ||||
−0.826138 | + | 0.563468i | \(0.809467\pi\) | |||||||
\(108\) | 4.50941 | + | 3.07446i | 0.433918 | + | 0.295840i | ||||
\(109\) | 1.93138 | − | 1.79206i | 0.184993 | − | 0.171648i | −0.582240 | − | 0.813017i | \(-0.697824\pi\) |
0.767233 | + | 0.641369i | \(0.221633\pi\) | |||||||
\(110\) | 26.6891 | − | 4.02273i | 2.54470 | − | 0.383552i | ||||
\(111\) | 13.1049 | − | 8.93479i | 1.24386 | − | 0.848053i | ||||
\(112\) | −17.1304 | − | 2.58199i | −1.61867 | − | 0.243975i | ||||
\(113\) | −6.54337 | − | 4.46119i | −0.615548 | − | 0.419674i | 0.215005 | − | 0.976613i | \(-0.431023\pi\) |
−0.830553 | + | 0.556939i | \(0.811976\pi\) | |||||||
\(114\) | −11.6886 | + | 14.6570i | −1.09474 | + | 1.37276i | ||||
\(115\) | −5.15831 | − | 4.78621i | −0.481015 | − | 0.446317i | ||||
\(116\) | 10.4794 | − | 26.7010i | 0.972986 | − | 2.47913i | ||||
\(117\) | −0.823707 | − | 0.764288i | −0.0761517 | − | 0.0706585i | ||||
\(118\) | −3.03202 | − | 2.06719i | −0.279120 | − | 0.190301i | ||||
\(119\) | 10.1603 | + | 1.53142i | 0.931394 | + | 0.140385i | ||||
\(120\) | 34.3030 | + | 5.17035i | 3.13142 | + | 0.471986i | ||||
\(121\) | −10.1467 | − | 17.5746i | −0.922425 | − | 1.59769i | ||||
\(122\) | 0.665202 | − | 1.69491i | 0.0602245 | − | 0.153450i | ||||
\(123\) | 3.57004 | + | 9.09633i | 0.321900 | + | 0.820188i | ||||
\(124\) | −20.0216 | + | 18.5773i | −1.79799 | + | 1.66829i | ||||
\(125\) | 7.58859 | + | 9.51579i | 0.678744 | + | 0.851118i | ||||
\(126\) | −9.76893 | + | 3.01332i | −0.870286 | + | 0.268448i | ||||
\(127\) | 0.166285 | + | 2.21891i | 0.0147554 | + | 0.196897i | 0.999710 | + | 0.0240834i | \(0.00766672\pi\) |
−0.984955 | + | 0.172813i | \(0.944714\pi\) | |||||||
\(128\) | 5.39112 | − | 9.33770i | 0.476512 | − | 0.825343i | ||||
\(129\) | 8.95417 | − | 15.5091i | 0.788371 | − | 1.36550i | ||||
\(130\) | 2.03861 | + | 0.628827i | 0.178798 | + | 0.0551518i | ||||
\(131\) | −3.60027 | − | 15.7738i | −0.314557 | − | 1.37816i | −0.846953 | − | 0.531668i | \(-0.821565\pi\) |
0.532396 | − | 0.846495i | \(-0.321292\pi\) | |||||||
\(132\) | −14.8104 | − | 64.8888i | −1.28908 | − | 5.64785i | ||||
\(133\) | 1.01058 | + | 4.42765i | 0.0876285 | + | 0.383926i | ||||
\(134\) | −10.9866 | + | 27.9933i | −0.949096 | + | 2.41826i | ||||
\(135\) | −1.87443 | + | 0.578184i | −0.161325 | + | 0.0497621i | ||||
\(136\) | −27.5171 | + | 47.6610i | −2.35957 | + | 4.08690i | ||||
\(137\) | 0.110593 | − | 0.0166692i | 0.00944859 | − | 0.00142415i | −0.144316 | − | 0.989532i | \(-0.546098\pi\) |
0.153765 | + | 0.988107i | \(0.450860\pi\) | |||||||
\(138\) | −15.1001 | + | 18.9349i | −1.28541 | + | 1.61185i | ||||
\(139\) | −0.699492 | − | 1.78228i | −0.0593301 | − | 0.151171i | 0.898135 | − | 0.439720i | \(-0.144922\pi\) |
−0.957465 | + | 0.288549i | \(0.906827\pi\) | |||||||
\(140\) | 10.1943 | − | 9.45895i | 0.861578 | − | 0.799427i | ||||
\(141\) | 18.2706 | + | 2.75386i | 1.53867 | + | 0.231916i | ||||
\(142\) | −15.8234 | + | 40.3173i | −1.32787 | + | 3.38335i | ||||
\(143\) | −0.184844 | − | 2.46658i | −0.0154575 | − | 0.206265i | ||||
\(144\) | 2.17216 | − | 28.9855i | 0.181014 | − | 2.41546i | ||||
\(145\) | 5.15463 | + | 8.92808i | 0.428069 | + | 0.741437i | ||||
\(146\) | 5.92780 | + | 0.893472i | 0.490588 | + | 0.0739442i | ||||
\(147\) | 4.04717 | − | 10.3120i | 0.333805 | − | 0.850521i | ||||
\(148\) | 30.6831 | + | 14.7762i | 2.52214 | + | 1.21460i | ||||
\(149\) | 19.1368 | − | 9.21582i | 1.56775 | − | 0.754989i | 0.569976 | − | 0.821661i | \(-0.306952\pi\) |
0.997775 | + | 0.0666719i | \(0.0212381\pi\) | |||||||
\(150\) | 7.79147 | − | 7.22943i | 0.636171 | − | 0.590280i | ||||
\(151\) | −16.2260 | − | 7.81404i | −1.32045 | − | 0.635897i | −0.364992 | − | 0.931011i | \(-0.618928\pi\) |
−0.955462 | + | 0.295113i | \(0.904643\pi\) | |||||||
\(152\) | −24.0530 | − | 3.62541i | −1.95096 | − | 0.294060i | ||||
\(153\) | −1.28835 | + | 17.1918i | −0.104157 | + | 1.38987i | ||||
\(154\) | −20.2752 | − | 9.76403i | −1.63382 | − | 0.786808i | ||||
\(155\) | −0.733583 | − | 9.78898i | −0.0589228 | − | 0.786270i | ||||
\(156\) | 1.17065 | − | 5.12895i | 0.0937269 | − | 0.410645i | ||||
\(157\) | 4.23887 | − | 2.89001i | 0.338299 | − | 0.230648i | −0.382240 | − | 0.924063i | \(-0.624847\pi\) |
0.720538 | + | 0.693415i | \(0.243895\pi\) | |||||||
\(158\) | 30.4872 | − | 20.7858i | 2.42543 | − | 1.65363i | ||||
\(159\) | 0.326088 | − | 4.35134i | 0.0258604 | − | 0.345083i | ||||
\(160\) | 9.39373 | + | 23.9348i | 0.742640 | + | 1.89222i | ||||
\(161\) | 1.30553 | + | 5.71992i | 0.102891 | + | 0.450793i | ||||
\(162\) | 9.86428 | + | 25.1338i | 0.775011 | + | 1.97470i | ||||
\(163\) | −5.53796 | − | 14.1105i | −0.433767 | − | 1.10522i | −0.965982 | − | 0.258610i | \(-0.916736\pi\) |
0.532215 | − | 0.846609i | \(-0.321360\pi\) | |||||||
\(164\) | −13.0817 | + | 16.4040i | −1.02151 | + | 1.28094i | ||||
\(165\) | 21.5525 | + | 10.3791i | 1.67786 | + | 0.808014i | ||||
\(166\) | 0.454220 | + | 0.309682i | 0.0352543 | + | 0.0240360i | ||||
\(167\) | −0.0488804 | − | 0.0612941i | −0.00378248 | − | 0.00474308i | 0.779937 | − | 0.625858i | \(-0.215251\pi\) |
−0.783719 | + | 0.621115i | \(0.786680\pi\) | |||||||
\(168\) | −21.2026 | − | 19.6732i | −1.63582 | − | 1.51782i | ||||
\(169\) | −4.67801 | + | 11.9194i | −0.359847 | + | 0.916874i | ||||
\(170\) | −11.9582 | − | 30.4691i | −0.917155 | − | 2.33687i | ||||
\(171\) | −7.28143 | + | 2.24602i | −0.556825 | + | 0.171758i | ||||
\(172\) | 38.4518 | 2.93192 | ||||||||
\(173\) | −3.65349 | − | 4.58133i | −0.277770 | − | 0.348312i | 0.623303 | − | 0.781980i | \(-0.285790\pi\) |
−0.901073 | + | 0.433668i | \(0.857219\pi\) | |||||||
\(174\) | 29.3164 | − | 19.9876i | 2.22247 | − | 1.51525i | ||||
\(175\) | −0.192419 | − | 2.56765i | −0.0145455 | − | 0.194096i | ||||
\(176\) | 46.9034 | − | 43.5200i | 3.53548 | − | 3.28044i | ||||
\(177\) | −1.18823 | − | 3.02756i | −0.0893129 | − | 0.227566i | ||||
\(178\) | 21.6645 | + | 6.68262i | 1.62382 | + | 0.500883i | ||||
\(179\) | −1.21676 | + | 5.33096i | −0.0909446 | + | 0.398454i | −0.999827 | − | 0.0185981i | \(-0.994080\pi\) |
0.908882 | + | 0.417052i | \(0.136937\pi\) | |||||||
\(180\) | 17.1045 | + | 15.8707i | 1.27489 | + | 1.18293i | ||||
\(181\) | −7.85333 | − | 13.6024i | −0.583734 | − | 1.01106i | −0.995032 | − | 0.0995557i | \(-0.968258\pi\) |
0.411298 | − | 0.911501i | \(-0.365075\pi\) | |||||||
\(182\) | −1.10903 | − | 1.39068i | −0.0822069 | − | 0.103084i | ||||
\(183\) | 1.33333 | − | 0.909048i | 0.0985624 | − | 0.0671987i | ||||
\(184\) | −31.0733 | − | 4.68354i | −2.29075 | − | 0.345275i | ||||
\(185\) | −11.0278 | + | 5.31072i | −0.810782 | + | 0.390452i | ||||
\(186\) | −33.4082 | + | 5.03548i | −2.44961 | + | 0.369219i | ||||
\(187\) | −27.8192 | + | 25.8124i | −2.03434 | + | 1.88759i | ||||
\(188\) | 14.4941 | + | 36.9303i | 1.05709 | + | 2.69342i | ||||
\(189\) | 1.56283 | + | 0.482071i | 0.113679 | + | 0.0350655i | ||||
\(190\) | 10.6052 | − | 9.84020i | 0.769383 | − | 0.713883i | ||||
\(191\) | −8.19014 | + | 20.8681i | −0.592618 | + | 1.50997i | 0.248233 | + | 0.968700i | \(0.420150\pi\) |
−0.840851 | + | 0.541266i | \(0.817945\pi\) | |||||||
\(192\) | 31.2146 | − | 15.0322i | 2.25272 | − | 1.08485i | ||||
\(193\) | −19.8560 | + | 6.12478i | −1.42927 | + | 0.440871i | −0.910310 | − | 0.413928i | \(-0.864157\pi\) |
−0.518959 | + | 0.854799i | \(0.673680\pi\) | |||||||
\(194\) | −41.8228 | −3.00270 | ||||||||
\(195\) | 1.17890 | + | 1.47829i | 0.0844225 | + | 0.105862i | ||||
\(196\) | 23.5199 | − | 3.54506i | 1.67999 | − | 0.253218i | ||||
\(197\) | −3.48088 | −0.248002 | −0.124001 | − | 0.992282i | \(-0.539573\pi\) | ||||
−0.124001 | + | 0.992282i | \(0.539573\pi\) | |||||||
\(198\) | 13.7945 | − | 35.1479i | 0.980334 | − | 2.49785i | ||||
\(199\) | −3.31937 | − | 5.74932i | −0.235304 | − | 0.407559i | 0.724057 | − | 0.689740i | \(-0.242275\pi\) |
−0.959361 | + | 0.282182i | \(0.908942\pi\) | |||||||
\(200\) | 13.1784 | + | 4.06501i | 0.931855 | + | 0.287439i | ||||
\(201\) | −22.0215 | + | 15.0140i | −1.55327 | + | 1.05900i | ||||
\(202\) | −31.5217 | + | 4.75113i | −2.21786 | + | 0.334289i | ||||
\(203\) | 0.642344 | − | 8.57149i | 0.0450837 | − | 0.601600i | ||||
\(204\) | −72.7218 | + | 35.0210i | −5.09155 | + | 2.45196i | ||||
\(205\) | −1.67802 | − | 7.35189i | −0.117198 | − | 0.513478i | ||||
\(206\) | 12.4379 | + | 31.6913i | 0.866591 | + | 2.20804i | ||||
\(207\) | −9.40662 | + | 2.90156i | −0.653805 | + | 0.201672i | ||||
\(208\) | 4.83272 | − | 1.49070i | 0.335089 | − | 0.103361i | ||||
\(209\) | −15.1125 | − | 7.27778i | −1.04535 | − | 0.503414i | ||||
\(210\) | 17.0104 | − | 2.56390i | 1.17383 | − | 0.176926i | ||||
\(211\) | 14.7929 | − | 13.7258i | 1.01838 | − | 0.944921i | 0.0198902 | − | 0.999802i | \(-0.493668\pi\) |
0.998493 | + | 0.0548807i | \(0.0174779\pi\) | |||||||
\(212\) | 8.44130 | − | 4.06512i | 0.579751 | − | 0.279193i | ||||
\(213\) | −31.7163 | + | 21.6238i | −2.17316 | + | 1.48164i | ||||
\(214\) | 3.39234 | − | 45.2676i | 0.231895 | − | 3.09443i | ||||
\(215\) | −8.61660 | + | 10.8049i | −0.587647 | + | 0.736886i | ||||
\(216\) | −5.46168 | + | 6.84873i | −0.371620 | + | 0.465997i | ||||
\(217\) | −4.09231 | + | 7.08808i | −0.277804 | + | 0.481170i | ||||
\(218\) | 4.36306 | + | 5.47110i | 0.295504 | + | 0.370550i | ||||
\(219\) | 3.89478 | + | 3.61382i | 0.263185 | + | 0.244200i | ||||
\(220\) | 3.83835 | + | 51.2192i | 0.258781 | + | 3.45320i | ||||
\(221\) | −2.86637 | + | 0.884157i | −0.192813 | + | 0.0594749i | ||||
\(222\) | 21.0634 | + | 36.4828i | 1.41368 | + | 2.44857i | ||||
\(223\) | 5.33469 | − | 1.64553i | 0.357237 | − | 0.110193i | −0.110941 | − | 0.993827i | \(-0.535387\pi\) |
0.468179 | + | 0.883634i | \(0.344910\pi\) | |||||||
\(224\) | 4.77041 | − | 20.9005i | 0.318736 | − | 1.39647i | ||||
\(225\) | 4.27195 | − | 0.643893i | 0.284797 | − | 0.0429262i | ||||
\(226\) | 13.1146 | − | 16.4451i | 0.872368 | − | 1.09391i | ||||
\(227\) | 3.79034 | − | 1.16916i | 0.251574 | − | 0.0776002i | −0.166404 | − | 0.986058i | \(-0.553215\pi\) |
0.417977 | + | 0.908458i | \(0.362739\pi\) | |||||||
\(228\) | −26.1520 | − | 24.2655i | −1.73196 | − | 1.60702i | ||||
\(229\) | −24.1734 | − | 3.64355i | −1.59742 | − | 0.240772i | −0.710843 | − | 0.703351i | \(-0.751686\pi\) |
−0.886578 | + | 0.462578i | \(0.846924\pi\) | |||||||
\(230\) | 13.7005 | − | 12.7122i | 0.903384 | − | 0.838218i | ||||
\(231\) | −9.97246 | − | 17.2728i | −0.656140 | − | 1.13647i | ||||
\(232\) | 41.4791 | + | 19.9753i | 2.72324 | + | 1.31144i | ||||
\(233\) | 5.71469 | + | 9.89813i | 0.374381 | + | 0.648448i | 0.990234 | − | 0.139414i | \(-0.0445217\pi\) |
−0.615853 | + | 0.787861i | \(0.711188\pi\) | |||||||
\(234\) | 2.18777 | − | 2.02995i | 0.143019 | − | 0.132702i | ||||
\(235\) | −13.6253 | − | 4.20285i | −0.888818 | − | 0.274164i | ||||
\(236\) | 4.35404 | − | 5.45980i | 0.283424 | − | 0.355403i | ||||
\(237\) | 32.7031 | 2.12429 | ||||||||
\(238\) | −6.07274 | + | 26.6064i | −0.393637 | + | 1.72464i | ||||
\(239\) | −7.87342 | + | 13.6372i | −0.509289 | + | 0.882115i | 0.490653 | + | 0.871355i | \(0.336758\pi\) |
−0.999942 | + | 0.0107598i | \(0.996575\pi\) | |||||||
\(240\) | −10.8837 | + | 47.6846i | −0.702539 | + | 3.07802i | ||||
\(241\) | −16.6055 | − | 2.50288i | −1.06965 | − | 0.161225i | −0.409467 | − | 0.912325i | \(-0.634285\pi\) |
−0.660188 | + | 0.751100i | \(0.729523\pi\) | |||||||
\(242\) | 48.5615 | − | 23.3860i | 3.12165 | − | 1.50331i | ||||
\(243\) | −4.60410 | + | 20.1719i | −0.295353 | + | 1.29403i | ||||
\(244\) | 3.12178 | + | 1.50337i | 0.199851 | + | 0.0962434i | ||||
\(245\) | −4.27439 | + | 7.40346i | −0.273081 | + | 0.472990i | ||||
\(246\) | −24.8009 | + | 7.65007i | −1.58125 | + | 0.487751i | ||||
\(247\) | −0.826634 | − | 1.03657i | −0.0525974 | − | 0.0659551i | ||||
\(248\) | −27.3322 | − | 34.2735i | −1.73560 | − | 2.17637i | ||||
\(249\) | 0.178007 | + | 0.453553i | 0.0112807 | + | 0.0287428i | ||||
\(250\) | −26.7095 | + | 18.2102i | −1.68926 | + | 1.15172i | ||||
\(251\) | −1.94190 | + | 3.36348i | −0.122572 | + | 0.212301i | −0.920781 | − | 0.390079i | \(-0.872448\pi\) |
0.798209 | + | 0.602380i | \(0.205781\pi\) | |||||||
\(252\) | −4.32904 | − | 18.9668i | −0.272704 | − | 1.19479i | ||||
\(253\) | −19.5232 | − | 9.40190i | −1.22742 | − | 0.591092i | ||||
\(254\) | −5.90997 | −0.370825 | ||||||||
\(255\) | 6.45530 | − | 28.2825i | 0.404246 | − | 1.77112i | ||||
\(256\) | −0.659253 | − | 0.449471i | −0.0412033 | − | 0.0280919i | ||||
\(257\) | 19.3977 | − | 9.34145i | 1.21000 | − | 0.582704i | 0.283488 | − | 0.958976i | \(-0.408508\pi\) |
0.926509 | + | 0.376272i | \(0.122794\pi\) | |||||||
\(258\) | 39.2997 | + | 26.7941i | 2.44670 | + | 1.66813i | ||||
\(259\) | 10.0913 | + | 1.52102i | 0.627043 | + | 0.0945115i | ||||
\(260\) | −1.48322 | + | 3.77918i | −0.0919854 | + | 0.234375i | ||||
\(261\) | 14.4220 | 0.892697 | ||||||||
\(262\) | 42.4927 | − | 6.40475i | 2.62521 | − | 0.395687i | ||||
\(263\) | −0.480778 | − | 0.231530i | −0.0296460 | − | 0.0142768i | 0.419002 | − | 0.907985i | \(-0.362380\pi\) |
−0.448648 | + | 0.893709i | \(0.648094\pi\) | |||||||
\(264\) | 105.634 | − | 15.9217i | 6.50130 | − | 0.979913i | ||||
\(265\) | −0.749309 | + | 3.28294i | −0.0460297 | + | 0.201669i | ||||
\(266\) | −11.9275 | + | 1.79779i | −0.731325 | + | 0.110229i | ||||
\(267\) | 12.5283 | + | 15.7099i | 0.766717 | + | 0.961433i | ||||
\(268\) | −51.5598 | − | 24.8299i | −3.14951 | − | 1.51673i | ||||
\(269\) | 2.09708 | − | 0.646865i | 0.127861 | − | 0.0394400i | −0.230164 | − | 0.973152i | \(-0.573926\pi\) |
0.358026 | + | 0.933712i | \(0.383450\pi\) | |||||||
\(270\) | −1.15932 | − | 5.07932i | −0.0705541 | − | 0.309118i | ||||
\(271\) | 4.40698 | + | 4.08908i | 0.267705 | + | 0.248394i | 0.802590 | − | 0.596531i | \(-0.203455\pi\) |
−0.534885 | + | 0.844925i | \(0.679645\pi\) | |||||||
\(272\) | −64.1110 | − | 43.7102i | −3.88730 | − | 2.65032i | ||||
\(273\) | −0.117811 | − | 1.57208i | −0.00713025 | − | 0.0951466i | ||||
\(274\) | 0.0221988 | + | 0.296222i | 0.00134108 | + | 0.0178955i | ||||
\(275\) | 7.85746 | + | 5.35713i | 0.473823 | + | 0.323047i | ||||
\(276\) | −33.7849 | − | 31.3478i | −2.03361 | − | 1.88691i | ||||
\(277\) | −2.35492 | − | 10.3176i | −0.141493 | − | 0.619922i | −0.995089 | − | 0.0989860i | \(-0.968440\pi\) |
0.853596 | − | 0.520936i | \(-0.174417\pi\) | |||||||
\(278\) | 4.85933 | − | 1.49891i | 0.291444 | − | 0.0898984i | ||||
\(279\) | −12.3726 | − | 5.95832i | −0.740727 | − | 0.356715i | ||||
\(280\) | 13.9167 | + | 17.4510i | 0.831681 | + | 1.04289i | ||||
\(281\) | 27.4341 | − | 4.13503i | 1.63658 | − | 0.246675i | 0.734617 | − | 0.678481i | \(-0.237362\pi\) |
0.901966 | + | 0.431806i | \(0.142124\pi\) | |||||||
\(282\) | −10.9202 | + | 47.8446i | −0.650290 | + | 2.84910i | ||||
\(283\) | 22.8472 | − | 3.44367i | 1.35813 | − | 0.204705i | 0.570723 | − | 0.821143i | \(-0.306663\pi\) |
0.787403 | + | 0.616438i | \(0.211425\pi\) | |||||||
\(284\) | −74.2587 | − | 35.7611i | −4.40644 | − | 2.12203i | ||||
\(285\) | 12.6789 | − | 1.91104i | 0.751036 | − | 0.113200i | ||||
\(286\) | 6.56961 | 0.388469 | ||||||||
\(287\) | −2.29705 | + | 5.85278i | −0.135590 | + | 0.345478i | ||||
\(288\) | 35.5679 | + | 5.36100i | 2.09586 | + | 0.315900i | ||||
\(289\) | 23.9793 | + | 16.3488i | 1.41054 | + | 0.961693i | ||||
\(290\) | −24.6698 | + | 11.8804i | −1.44866 | + | 0.697639i | ||||
\(291\) | −30.6263 | − | 20.8807i | −1.79535 | − | 1.22405i | ||||
\(292\) | −2.53851 | + | 11.1220i | −0.148555 | + | 0.650863i | ||||
\(293\) | −0.582406 | −0.0340245 | −0.0170123 | − | 0.999855i | \(-0.505415\pi\) | ||||
−0.0170123 | + | 0.999855i | \(0.505415\pi\) | |||||||
\(294\) | 26.5089 | + | 12.7660i | 1.54603 | + | 0.744529i | ||||
\(295\) | 0.558502 | + | 2.44696i | 0.0325172 | + | 0.142467i | ||||
\(296\) | −27.3302 | + | 47.3373i | −1.58854 | + | 2.75142i | ||||
\(297\) | −4.99091 | + | 3.40274i | −0.289602 | + | 0.197447i | ||||
\(298\) | 20.6105 | + | 52.5146i | 1.19393 | + | 3.04209i | ||||
\(299\) | −1.06790 | − | 1.33910i | −0.0617582 | − | 0.0774423i | ||||
\(300\) | 12.6111 | + | 15.8138i | 0.728100 | + | 0.913008i | ||||
\(301\) | 11.0107 | − | 3.39635i | 0.634646 | − | 0.195762i | ||||
\(302\) | 23.9167 | − | 41.4249i | 1.37625 | − | 2.38374i | ||||
\(303\) | −25.4551 | − | 12.2585i | −1.46236 | − | 0.704233i | ||||
\(304\) | 7.63157 | − | 33.4361i | 0.437700 | − | 1.91769i | ||||
\(305\) | −1.12200 | + | 0.540326i | −0.0642455 | + | 0.0309390i | ||||
\(306\) | −45.2781 | − | 6.82457i | −2.58837 | − | 0.390135i | ||||
\(307\) | −1.29541 | + | 5.67555i | −0.0739328 | + | 0.323921i | −0.998347 | − | 0.0574686i | \(-0.981697\pi\) |
0.924415 | + | 0.381389i | \(0.124554\pi\) | |||||||
\(308\) | 21.4123 | − | 37.0872i | 1.22008 | − | 2.11324i | ||||
\(309\) | −6.71424 | + | 29.4170i | −0.381960 | + | 1.67348i | ||||
\(310\) | 26.0725 | 1.48082 | ||||||||
\(311\) | 6.43214 | − | 8.06565i | 0.364733 | − | 0.457361i | −0.565273 | − | 0.824904i | \(-0.691229\pi\) |
0.930007 | + | 0.367542i | \(0.119801\pi\) | |||||||
\(312\) | 8.06868 | + | 2.48886i | 0.456799 | + | 0.140904i | ||||
\(313\) | −8.48390 | + | 7.87191i | −0.479538 | + | 0.444947i | −0.882529 | − | 0.470257i | \(-0.844161\pi\) |
0.402991 | + | 0.915204i | \(0.367971\pi\) | |||||||
\(314\) | 6.81308 | + | 11.8006i | 0.384484 | + | 0.665946i | ||||
\(315\) | 6.29971 | + | 3.03378i | 0.354949 | + | 0.170934i | ||||
\(316\) | 35.1091 | + | 60.8107i | 1.97504 | + | 3.42087i | ||||
\(317\) | −3.93278 | + | 3.64908i | −0.220887 | + | 0.204953i | −0.782852 | − | 0.622208i | \(-0.786236\pi\) |
0.561965 | + | 0.827161i | \(0.310045\pi\) | |||||||
\(318\) | 11.4601 | + | 1.72734i | 0.642652 | + | 0.0968642i | ||||
\(319\) | 23.2719 | + | 21.5932i | 1.30298 | + | 1.20899i | ||||
\(320\) | −25.5483 | + | 7.88062i | −1.42820 | + | 0.440540i | ||||
\(321\) | 25.0847 | − | 31.4552i | 1.40009 | − | 1.75566i | ||||
\(322\) | −15.4088 | + | 2.32250i | −0.858698 | + | 0.129428i | ||||
\(323\) | −4.52641 | + | 19.8315i | −0.251856 | + | 1.10345i | ||||
\(324\) | −49.0985 | + | 15.1449i | −2.72769 | + | 0.841382i | ||||
\(325\) | 0.375842 | + | 0.650977i | 0.0208480 | + | 0.0361097i | ||||
\(326\) | 38.4719 | − | 11.8670i | 2.13076 | − | 0.657253i | ||||
\(327\) | 0.463483 | + | 6.18475i | 0.0256307 | + | 0.342017i | ||||
\(328\) | −24.6862 | − | 22.9054i | −1.36307 | − | 1.26474i | ||||
\(329\) | 7.41237 | + | 9.29481i | 0.408657 | + | 0.512440i | ||||
\(330\) | −31.7678 | + | 55.0234i | −1.74876 | + | 3.02894i | ||||
\(331\) | −2.73083 | + | 3.42435i | −0.150100 | + | 0.188219i | −0.851197 | − | 0.524847i | \(-0.824123\pi\) |
0.701097 | + | 0.713066i | \(0.252694\pi\) | |||||||
\(332\) | −0.652271 | + | 0.817921i | −0.0357980 | + | 0.0448893i | ||||
\(333\) | −1.27960 | + | 17.0750i | −0.0701214 | + | 0.935705i | ||||
\(334\) | 0.172044 | − | 0.117298i | 0.00941384 | − | 0.00641825i | ||||
\(335\) | 18.5311 | − | 8.92411i | 1.01246 | − | 0.487576i | ||||
\(336\) | 29.8940 | − | 27.7376i | 1.63085 | − | 1.51321i | ||||
\(337\) | −34.0841 | + | 5.13735i | −1.85668 | + | 0.279849i | −0.979669 | − | 0.200622i | \(-0.935704\pi\) |
−0.877010 | + | 0.480472i | \(0.840466\pi\) | |||||||
\(338\) | −30.6409 | − | 14.7559i | −1.66664 | − | 0.802613i | ||||
\(339\) | 17.8141 | − | 5.49493i | 0.967531 | − | 0.298444i | ||||
\(340\) | 59.5210 | − | 18.3598i | 3.22798 | − | 0.995699i | ||||
\(341\) | −11.0439 | − | 28.1393i | −0.598059 | − | 1.52383i | ||||
\(342\) | −4.50352 | − | 19.7312i | −0.243523 | − | 1.06694i | ||||
\(343\) | 15.9741 | − | 7.69274i | 0.862523 | − | 0.415369i | ||||
\(344\) | −4.61206 | + | 61.5436i | −0.248665 | + | 3.31821i | ||||
\(345\) | 16.3795 | − | 2.46881i | 0.881841 | − | 0.132916i | ||||
\(346\) | 12.8592 | − | 8.76723i | 0.691313 | − | 0.471329i | ||||
\(347\) | 18.4421 | + | 5.68864i | 0.990025 | + | 0.305382i | 0.747136 | − | 0.664672i | \(-0.231428\pi\) |
0.242890 | + | 0.970054i | \(0.421905\pi\) | |||||||
\(348\) | 33.7608 | + | 58.4754i | 1.80977 | + | 3.13461i | ||||
\(349\) | −7.69699 | + | 19.6116i | −0.412010 | + | 1.04979i | 0.562769 | + | 0.826614i | \(0.309736\pi\) |
−0.974779 | + | 0.223171i | \(0.928359\pi\) | |||||||
\(350\) | 6.83881 | 0.365550 | ||||||||
\(351\) | −0.472122 | + | 0.0711610i | −0.0252000 | + | 0.00379829i | ||||
\(352\) | 49.3672 | + | 61.9045i | 2.63128 | + | 3.29952i | ||||
\(353\) | −14.7508 | −0.785104 | −0.392552 | − | 0.919730i | \(-0.628408\pi\) | ||||
−0.392552 | + | 0.919730i | \(0.628408\pi\) | |||||||
\(354\) | 8.25458 | − | 2.54620i | 0.438726 | − | 0.135329i | ||||
\(355\) | 26.6893 | − | 12.8529i | 1.41652 | − | 0.682161i | ||||
\(356\) | −15.7623 | + | 40.1618i | −0.835402 | + | 2.12857i | ||||
\(357\) | −17.7307 | + | 16.4516i | −0.938406 | + | 0.870713i | ||||
\(358\) | −13.8779 | − | 4.28078i | −0.733472 | − | 0.226246i | ||||
\(359\) | 9.23942 | + | 23.5417i | 0.487638 | + | 1.24248i | 0.937062 | + | 0.349163i | \(0.113534\pi\) |
−0.449424 | + | 0.893318i | \(0.648371\pi\) | |||||||
\(360\) | −27.4532 | + | 25.4729i | −1.44691 | + | 1.34254i | ||||
\(361\) | 9.89740 | − | 1.49179i | 0.520916 | − | 0.0785154i | ||||
\(362\) | 37.5857 | − | 18.1003i | 1.97546 | − | 0.951332i | ||||
\(363\) | 47.2368 | + | 7.11981i | 2.47929 | + | 0.373693i | ||||
\(364\) | 2.79677 | − | 1.90681i | 0.146591 | − | 0.0999439i | ||||
\(365\) | −2.55640 | − | 3.20562i | −0.133808 | − | 0.167790i | ||||
\(366\) | 2.14304 | + | 3.71185i | 0.112018 | + | 0.194022i | ||||
\(367\) | 0.528890 | + | 0.490738i | 0.0276078 | + | 0.0256163i | 0.693856 | − | 0.720114i | \(-0.255910\pi\) |
−0.666248 | + | 0.745730i | \(0.732101\pi\) | |||||||
\(368\) | 9.85895 | − | 43.1949i | 0.513933 | − | 2.25169i | ||||
\(369\) | −10.0806 | − | 3.10946i | −0.524776 | − | 0.161872i | ||||
\(370\) | −11.8770 | − | 30.2622i | −0.617457 | − | 1.57325i | ||||
\(371\) | 2.05811 | − | 1.90965i | 0.106852 | − | 0.0991441i | ||||
\(372\) | −4.80467 | − | 64.1139i | −0.249111 | − | 3.32415i | ||||
\(373\) | 22.2034 | − | 15.1380i | 1.14965 | − | 0.783816i | 0.170179 | − | 0.985413i | \(-0.445565\pi\) |
0.979469 | + | 0.201597i | \(0.0646131\pi\) | |||||||
\(374\) | −62.8446 | − | 78.8046i | −3.24962 | − | 4.07489i | ||||
\(375\) | −28.6508 | −1.47952 | ||||||||
\(376\) | −60.8470 | + | 18.7688i | −3.13794 | + | 0.967927i | ||||
\(377\) | 0.916757 | + | 2.33586i | 0.0472154 | + | 0.120303i | ||||
\(378\) | −1.58700 | + | 4.04360i | −0.0816264 | + | 0.207981i | ||||
\(379\) | −23.8178 | − | 22.0996i | −1.22344 | − | 1.13518i | −0.986518 | − | 0.163653i | \(-0.947672\pi\) |
−0.236918 | − | 0.971530i | \(-0.576137\pi\) | |||||||
\(380\) | 17.1653 | + | 21.5246i | 0.880561 | + | 1.10419i | ||||
\(381\) | −4.32780 | − | 2.95065i | −0.221720 | − | 0.151166i | ||||
\(382\) | −53.6453 | − | 25.8342i | −2.74473 | − | 1.32179i | ||||
\(383\) | 20.7442 | − | 26.0124i | 1.05998 | − | 1.32917i | 0.118181 | − | 0.992992i | \(-0.462294\pi\) |
0.941798 | − | 0.336179i | \(-0.109135\pi\) | |||||||
\(384\) | 9.27284 | + | 23.6268i | 0.473203 | + | 1.20570i | ||||
\(385\) | 5.62318 | + | 14.3276i | 0.286584 | + | 0.730204i | ||||
\(386\) | −12.2809 | − | 53.8059i | −0.625079 | − | 2.73865i | ||||
\(387\) | 7.06321 | + | 17.9968i | 0.359043 | + | 0.914827i | ||||
\(388\) | 5.94765 | − | 79.3659i | 0.301946 | − | 4.02919i | ||||
\(389\) | −11.4569 | + | 7.81120i | −0.580889 | + | 0.396044i | −0.817812 | − | 0.575485i | \(-0.804813\pi\) |
0.236923 | + | 0.971528i | \(0.423861\pi\) | |||||||
\(390\) | −4.14935 | + | 2.82898i | −0.210111 | + | 0.143251i | ||||
\(391\) | −5.84751 | + | 25.6196i | −0.295721 | + | 1.29564i | ||||
\(392\) | 2.85294 | + | 38.0698i | 0.144095 | + | 1.92281i | ||||
\(393\) | 34.3146 | + | 16.5250i | 1.73094 | + | 0.833578i | ||||
\(394\) | 0.690897 | − | 9.21938i | 0.0348069 | − | 0.464465i | ||||
\(395\) | −24.9552 | − | 3.76140i | −1.25563 | − | 0.189256i | ||||
\(396\) | 64.7374 | + | 31.1759i | 3.25318 | + | 1.56665i | ||||
\(397\) | 26.6356 | − | 24.7142i | 1.33680 | − | 1.24037i | 0.389106 | − | 0.921193i | \(-0.372784\pi\) |
0.947695 | − | 0.319177i | \(-0.103407\pi\) | |||||||
\(398\) | 15.8864 | − | 7.65047i | 0.796312 | − | 0.383483i | ||||
\(399\) | −9.63198 | − | 4.63852i | −0.482202 | − | 0.232216i | ||||
\(400\) | −7.10383 | + | 18.1003i | −0.355192 | + | 0.905014i | ||||
\(401\) | 27.3196 | + | 4.11777i | 1.36428 | + | 0.205631i | 0.790038 | − | 0.613057i | \(-0.210061\pi\) |
0.574237 | + | 0.818689i | \(0.305299\pi\) | |||||||
\(402\) | −35.3948 | − | 61.3056i | −1.76533 | − | 3.05764i | ||||
\(403\) | 0.178557 | − | 2.38268i | 0.00889456 | − | 0.118690i | ||||
\(404\) | −4.53337 | − | 60.4936i | −0.225543 | − | 3.00967i | ||||
\(405\) | 6.74673 | − | 17.1904i | 0.335248 | − | 0.854197i | ||||
\(406\) | 22.5748 | + | 3.40260i | 1.12037 | + | 0.168868i | ||||
\(407\) | −27.6302 | + | 25.6371i | −1.36958 | + | 1.27078i | ||||
\(408\) | −47.3300 | − | 120.595i | −2.34318 | − | 5.97033i | ||||
\(409\) | 5.17302 | − | 6.48676i | 0.255789 | − | 0.320750i | −0.637311 | − | 0.770606i | \(-0.719953\pi\) |
0.893101 | + | 0.449857i | \(0.148525\pi\) | |||||||
\(410\) | 19.8051 | − | 2.98514i | 0.978105 | − | 0.147426i | ||||
\(411\) | −0.131638 | + | 0.228003i | −0.00649321 | + | 0.0112466i | ||||
\(412\) | −61.9085 | + | 19.0963i | −3.05002 | + | 0.940805i | ||||
\(413\) | 0.764534 | − | 1.94800i | 0.0376203 | − | 0.0958549i | ||||
\(414\) | −5.81794 | − | 25.4901i | −0.285936 | − | 1.25277i | ||||
\(415\) | −0.0836681 | − | 0.366574i | −0.00410710 | − | 0.0179944i | ||||
\(416\) | 1.39264 | + | 6.10155i | 0.0682798 | + | 0.299153i | ||||
\(417\) | 4.30679 | + | 1.32847i | 0.210904 | + | 0.0650553i | ||||
\(418\) | 22.2753 | − | 38.5820i | 1.08952 | − | 1.88711i | ||||
\(419\) | −11.7711 | + | 20.3881i | −0.575055 | + | 0.996024i | 0.420981 | + | 0.907070i | \(0.361686\pi\) |
−0.996036 | + | 0.0889548i | \(0.971647\pi\) | |||||||
\(420\) | 2.44638 | + | 32.6447i | 0.119371 | + | 1.59290i | ||||
\(421\) | −26.9429 | + | 8.31080i | −1.31312 | + | 0.405043i | −0.870722 | − | 0.491776i | \(-0.836348\pi\) |
−0.442397 | + | 0.896819i | \(0.645872\pi\) | |||||||
\(422\) | 33.4176 | + | 41.9044i | 1.62675 | + | 2.03987i | ||||
\(423\) | −14.6223 | + | 13.5675i | −0.710959 | + | 0.659673i | ||||
\(424\) | 5.49390 | + | 13.9982i | 0.266807 | + | 0.679814i | ||||
\(425\) | 4.21340 | − | 10.7356i | 0.204380 | − | 0.520752i | ||||
\(426\) | −50.9771 | − | 88.2950i | −2.46985 | − | 4.27791i | ||||
\(427\) | 1.02671 | + | 0.154752i | 0.0496862 | + | 0.00748898i | ||||
\(428\) | 85.4206 | + | 12.8751i | 4.12896 | + | 0.622341i | ||||
\(429\) | 4.81084 | + | 3.27998i | 0.232270 | + | 0.158359i | ||||
\(430\) | −26.9073 | − | 24.9663i | −1.29759 | − | 1.20398i | ||||
\(431\) | −7.66729 | + | 19.5359i | −0.369320 | + | 0.941012i | 0.618552 | + | 0.785744i | \(0.287720\pi\) |
−0.987872 | + | 0.155269i | \(0.950376\pi\) | |||||||
\(432\) | −9.05370 | − | 8.40061i | −0.435596 | − | 0.404174i | ||||
\(433\) | 20.6593 | − | 25.9059i | 0.992822 | − | 1.24496i | 0.0233571 | − | 0.999727i | \(-0.492565\pi\) |
0.969464 | − | 0.245232i | \(-0.0788641\pi\) | |||||||
\(434\) | −17.9611 | − | 12.2457i | −0.862159 | − | 0.587810i | ||||
\(435\) | −23.9969 | − | 3.61695i | −1.15056 | − | 0.173419i | ||||
\(436\) | −11.0028 | + | 7.50161i | −0.526940 | + | 0.359262i | ||||
\(437\) | −11.4852 | + | 1.73111i | −0.549410 | + | 0.0828103i | ||||
\(438\) | −10.3445 | + | 9.59833i | −0.494281 | + | 0.458626i | ||||
\(439\) | 8.89623 | + | 6.06535i | 0.424594 | + | 0.289483i | 0.756704 | − | 0.653757i | \(-0.226808\pi\) |
−0.332110 | + | 0.943241i | \(0.607761\pi\) | |||||||
\(440\) | −82.4387 | −3.93011 | ||||||||
\(441\) | 5.97958 | + | 10.3569i | 0.284742 | + | 0.493188i | ||||
\(442\) | −1.77283 | − | 7.76729i | −0.0843251 | − | 0.369452i | ||||
\(443\) | −2.77834 | − | 7.07909i | −0.132003 | − | 0.336338i | 0.849556 | − | 0.527499i | \(-0.176870\pi\) |
−0.981559 | + | 0.191161i | \(0.938775\pi\) | |||||||
\(444\) | −72.2279 | + | 34.7831i | −3.42778 | + | 1.65073i | ||||
\(445\) | −7.75323 | − | 13.4290i | −0.367538 | − | 0.636595i | ||||
\(446\) | 3.29947 | + | 14.4559i | 0.156235 | + | 0.684509i | ||||
\(447\) | −11.1259 | + | 48.7459i | −0.526239 | + | 2.30560i | ||||
\(448\) | 21.3014 | + | 6.57060i | 1.00639 | + | 0.310432i | ||||
\(449\) | 0.261188 | + | 1.14434i | 0.0123262 | + | 0.0540048i | 0.980717 | − | 0.195433i | \(-0.0626113\pi\) |
−0.968391 | + | 0.249438i | \(0.919754\pi\) | |||||||
\(450\) | 0.857489 | + | 11.4424i | 0.0404224 | + | 0.539400i | ||||
\(451\) | −11.6109 | − | 20.1107i | −0.546736 | − | 0.946975i | ||||
\(452\) | 29.3425 | + | 27.2258i | 1.38015 | + | 1.28060i | ||||
\(453\) | 38.1959 | − | 18.3942i | 1.79460 | − | 0.864234i | ||||
\(454\) | 2.34430 | + | 10.2711i | 0.110024 | + | 0.482045i | ||||
\(455\) | −0.0909154 | + | 1.21318i | −0.00426218 | + | 0.0568749i | ||||
\(456\) | 41.9747 | − | 38.9469i | 1.96565 | − | 1.82385i | ||||
\(457\) | −6.24116 | + | 7.82617i | −0.291949 | + | 0.366093i | −0.906076 | − | 0.423114i | \(-0.860937\pi\) |
0.614127 | + | 0.789207i | \(0.289508\pi\) | |||||||
\(458\) | 14.4482 | − | 63.3019i | 0.675122 | − | 2.95790i | ||||
\(459\) | 5.36990 | + | 4.98254i | 0.250646 | + | 0.232565i | ||||
\(460\) | 22.1752 | + | 27.8069i | 1.03393 | + | 1.29650i | ||||
\(461\) | −1.51371 | − | 20.1990i | −0.0705005 | − | 0.940763i | −0.914543 | − | 0.404488i | \(-0.867450\pi\) |
0.844043 | − | 0.536276i | \(-0.180169\pi\) | |||||||
\(462\) | 47.7277 | − | 22.9845i | 2.22050 | − | 1.06933i | ||||
\(463\) | −12.5421 | + | 15.7272i | −0.582879 | + | 0.730907i | −0.982601 | − | 0.185730i | \(-0.940535\pi\) |
0.399722 | + | 0.916636i | \(0.369107\pi\) | |||||||
\(464\) | −32.4552 | + | 56.2141i | −1.50670 | + | 2.60967i | ||||
\(465\) | 19.0926 | + | 13.0171i | 0.885397 | + | 0.603653i | ||||
\(466\) | −27.3502 | + | 13.1712i | −1.26697 | + | 0.610143i | ||||
\(467\) | 18.5946 | − | 8.95468i | 0.860455 | − | 0.414373i | 0.0490071 | − | 0.998798i | \(-0.484394\pi\) |
0.811447 | + | 0.584425i | \(0.198680\pi\) | |||||||
\(468\) | 3.54106 | + | 4.44035i | 0.163686 | + | 0.205255i | ||||
\(469\) | −16.9574 | − | 2.55591i | −0.783018 | − | 0.118021i | ||||
\(470\) | 13.8360 | − | 35.2535i | 0.638206 | − | 1.62612i | ||||
\(471\) | −0.902496 | + | 12.0430i | −0.0415848 | + | 0.554911i | ||||
\(472\) | 8.21639 | + | 7.62369i | 0.378190 | + | 0.350909i | ||||
\(473\) | −15.5480 | + | 39.6157i | −0.714898 | + | 1.82153i | ||||
\(474\) | −6.49102 | + | 86.6166i | −0.298142 | + | 3.97843i | ||||
\(475\) | 5.09742 | 0.233886 | ||||||||
\(476\) | −49.6266 | − | 15.3078i | −2.27463 | − | 0.701631i | ||||
\(477\) | 3.45320 | + | 3.20410i | 0.158111 | + | 0.146706i | ||||
\(478\) | −34.5564 | − | 23.5601i | −1.58057 | − | 1.07761i | ||||
\(479\) | −14.4133 | − | 6.94107i | −0.658560 | − | 0.317146i | 0.0745884 | − | 0.997214i | \(-0.476236\pi\) |
−0.733148 | + | 0.680069i | \(0.761950\pi\) | |||||||
\(480\) | −57.8374 | − | 17.8405i | −2.63990 | − | 0.814303i | ||||
\(481\) | −2.84690 | + | 0.878152i | −0.129807 | + | 0.0400403i | ||||
\(482\) | 9.92498 | − | 43.4842i | 0.452071 | − | 1.98065i | ||||
\(483\) | −12.4432 | − | 5.99233i | −0.566186 | − | 0.272661i | ||||
\(484\) | 37.4730 | + | 95.4796i | 1.70332 | + | 4.33998i | ||||
\(485\) | 20.9689 | + | 19.4563i | 0.952147 | + | 0.883464i | ||||
\(486\) | −52.5129 | − | 16.1981i | −2.38203 | − | 0.734760i | ||||
\(487\) | 0.114242 | − | 1.52446i | 0.00517682 | − | 0.0690798i | −0.994017 | − | 0.109225i | \(-0.965163\pi\) |
0.999194 | + | 0.0401453i | \(0.0127821\pi\) | |||||||
\(488\) | −2.78064 | + | 4.81621i | −0.125874 | + | 0.218020i | ||||
\(489\) | 34.0973 | + | 10.5176i | 1.54193 | + | 0.475624i | ||||
\(490\) | −18.7602 | − | 12.7905i | −0.847501 | − | 0.577817i | ||||
\(491\) | −0.986545 | + | 13.1645i | −0.0445221 | + | 0.594107i | 0.929671 | + | 0.368391i | \(0.120091\pi\) |
−0.974193 | + | 0.225716i | \(0.927528\pi\) | |||||||
\(492\) | −10.9904 | − | 48.1519i | −0.495484 | − | 2.17086i | ||||
\(493\) | 19.2497 | − | 33.3415i | 0.866964 | − | 1.50163i | ||||
\(494\) | 2.90950 | − | 1.98366i | 0.130905 | − | 0.0892492i | ||||
\(495\) | −23.2673 | + | 11.2049i | −1.04579 | + | 0.503624i | ||||
\(496\) | 51.0677 | − | 34.8173i | 2.29301 | − | 1.56335i | ||||
\(497\) | −24.4227 | − | 3.68114i | −1.09551 | − | 0.165122i | ||||
\(498\) | −1.23660 | + | 0.381441i | −0.0554135 | + | 0.0170928i | ||||
\(499\) | 11.2849 | − | 7.69389i | 0.505180 | − | 0.344426i | −0.283761 | − | 0.958895i | \(-0.591582\pi\) |
0.788941 | + | 0.614469i | \(0.210630\pi\) | |||||||
\(500\) | −30.7587 | − | 53.2756i | −1.37557 | − | 2.38256i | ||||
\(501\) | 0.184549 | 0.00824503 | ||||||||
\(502\) | −8.52299 | − | 5.81088i | −0.380400 | − | 0.259352i | ||||
\(503\) | −5.06184 | + | 6.34735i | −0.225696 | + | 0.283014i | −0.881767 | − | 0.471685i | \(-0.843646\pi\) |
0.656071 | + | 0.754699i | \(0.272217\pi\) | |||||||
\(504\) | 30.8763 | − | 4.65385i | 1.37534 | − | 0.207299i | ||||
\(505\) | 18.0145 | + | 12.2820i | 0.801633 | + | 0.546544i | ||||
\(506\) | 28.7767 | − | 49.8427i | 1.27928 | − | 2.21578i | ||||
\(507\) | −15.0708 | − | 26.1035i | −0.669320 | − | 1.15930i | ||||
\(508\) | 0.840462 | − | 11.2152i | 0.0372895 | − | 0.497594i | ||||
\(509\) | 20.5969 | 0.912943 | 0.456471 | − | 0.889738i | \(-0.349113\pi\) | ||||
0.456471 | + | 0.889738i | \(0.349113\pi\) | |||||||
\(510\) | 73.6271 | + | 22.7110i | 3.26026 | + | 1.00566i | ||||
\(511\) | 0.255470 | + | 3.40901i | 0.0113013 | + | 0.150806i | ||||
\(512\) | 14.7665 | − | 18.5167i | 0.652595 | − | 0.818329i | ||||
\(513\) | −1.18289 | + | 3.01396i | −0.0522260 | + | 0.133070i | ||||
\(514\) | 20.8914 | + | 53.2305i | 0.921482 | + | 2.34790i | ||||
\(515\) | 8.50699 | − | 21.6754i | 0.374863 | − | 0.955134i | ||||
\(516\) | −56.4353 | + | 70.7676i | −2.48443 | + | 3.11537i | ||||
\(517\) | −43.9089 | −1.93111 | ||||||||
\(518\) | −6.03149 | + | 26.4257i | −0.265008 | + | 1.16108i | ||||
\(519\) | 13.7938 | 0.605480 | ||||||||
\(520\) | −5.87083 | − | 2.82724i | −0.257453 | − | 0.123983i | ||||
\(521\) | 2.78752 | + | 4.82813i | 0.122124 | + | 0.211524i | 0.920605 | − | 0.390495i | \(-0.127696\pi\) |
−0.798481 | + | 0.602020i | \(0.794363\pi\) | |||||||
\(522\) | −2.86252 | + | 38.1977i | −0.125289 | + | 1.67187i | ||||
\(523\) | −11.5650 | − | 14.5020i | −0.505700 | − | 0.634128i | 0.461804 | − | 0.886982i | \(-0.347202\pi\) |
−0.967504 | + | 0.252854i | \(0.918631\pi\) | |||||||
\(524\) | 6.11119 | + | 81.5481i | 0.266968 | + | 3.56245i | ||||
\(525\) | 5.00798 | + | 3.41438i | 0.218566 | + | 0.149016i | ||||
\(526\) | 0.708653 | − | 1.22742i | 0.0308987 | − | 0.0535182i | ||||
\(527\) | −30.2891 | + | 20.6508i | −1.31941 | + | 0.899561i | ||||
\(528\) | 11.2556 | + | 150.196i | 0.489839 | + | 6.53645i | ||||
\(529\) | 7.90582 | − | 1.19161i | 0.343731 | − | 0.0518092i | ||||
\(530\) | −8.54639 | − | 2.63621i | −0.371231 | − | 0.114510i | ||||
\(531\) | 3.35517 | + | 1.03493i | 0.145602 | + | 0.0449123i | ||||
\(532\) | −1.71539 | − | 22.8902i | −0.0743714 | − | 0.992418i | ||||
\(533\) | −0.137167 | − | 1.83037i | −0.00594137 | − | 0.0792820i | ||||
\(534\) | −44.0957 | + | 30.0639i | −1.90821 | + | 1.30099i | ||||
\(535\) | −22.7597 | + | 21.1179i | −0.983986 | + | 0.913005i | ||||
\(536\) | 45.9255 | − | 79.5453i | 1.98368 | − | 3.43583i | ||||
\(537\) | −8.02541 | − | 10.0635i | −0.346322 | − | 0.434274i | ||||
\(538\) | 1.29704 | + | 5.68268i | 0.0559192 | + | 0.244998i | ||||
\(539\) | −5.85793 | + | 25.6653i | −0.252319 | + | 1.10548i | ||||
\(540\) | 9.80376 | − | 1.47768i | 0.421887 | − | 0.0635892i | ||||
\(541\) | 12.0261 | + | 11.1586i | 0.517043 | + | 0.479746i | 0.894993 | − | 0.446080i | \(-0.147180\pi\) |
−0.377950 | + | 0.925826i | \(0.623371\pi\) | |||||||
\(542\) | −11.7050 | + | 10.8606i | −0.502771 | + | 0.466504i | ||||
\(543\) | 36.5604 | + | 5.51060i | 1.56896 | + | 0.236482i | ||||
\(544\) | 59.8682 | − | 75.0724i | 2.56683 | − | 3.21870i | ||||
\(545\) | 0.357672 | − | 4.77280i | 0.0153210 | − | 0.204444i | ||||
\(546\) | 4.18716 | 0.179194 | ||||||||
\(547\) | 16.7347 | − | 16.3386i | 0.715523 | − | 0.698589i | ||||
\(548\) | −0.565290 | −0.0241480 | ||||||||
\(549\) | −0.130189 | + | 1.73725i | −0.00555634 | + | 0.0741442i | ||||
\(550\) | −15.7483 | + | 19.7478i | −0.671512 | + | 0.842049i | ||||
\(551\) | 16.8264 | + | 2.53618i | 0.716831 | + | 0.108045i | ||||
\(552\) | 54.2257 | − | 50.3141i | 2.30800 | − | 2.14151i | ||||
\(553\) | 15.4248 | + | 14.3121i | 0.655928 | + | 0.608613i | ||||
\(554\) | 27.7943 | − | 4.18931i | 1.18087 | − | 0.177987i | ||||
\(555\) | 6.41145 | − | 28.0904i | 0.272151 | − | 1.19237i | ||||
\(556\) | 2.15338 | + | 9.43458i | 0.0913238 | + | 0.400116i | ||||
\(557\) | −15.4934 | − | 19.4281i | −0.656477 | − | 0.823196i | 0.336477 | − | 0.941692i | \(-0.390764\pi\) |
−0.992955 | + | 0.118495i | \(0.962193\pi\) | |||||||
\(558\) | 18.2368 | − | 31.5871i | 0.772026 | − | 1.33719i | ||||
\(559\) | −2.46587 | + | 2.28799i | −0.104295 | + | 0.0967716i | ||||
\(560\) | −26.0020 | + | 17.7279i | −1.09878 | + | 0.749139i | ||||
\(561\) | −6.67591 | − | 89.0838i | −0.281857 | − | 3.76112i | ||||
\(562\) | 5.50673 | + | 73.4822i | 0.232287 | + | 3.09966i | ||||
\(563\) | 12.3398 | + | 3.80632i | 0.520060 | + | 0.160417i | 0.543662 | − | 0.839304i | \(-0.317037\pi\) |
−0.0236023 | + | 0.999721i | \(0.507514\pi\) | |||||||
\(564\) | −89.2404 | − | 27.5270i | −3.75770 | − | 1.15910i | ||||
\(565\) | −14.2257 | + | 2.14418i | −0.598481 | + | 0.0902064i | ||||
\(566\) | 4.58602 | + | 61.1962i | 0.192765 | + | 2.57227i | ||||
\(567\) | −12.7217 | + | 8.67351i | −0.534261 | + | 0.364253i | ||||
\(568\) | 66.1440 | − | 114.565i | 2.77534 | − | 4.80703i | ||||
\(569\) | 20.3856 | + | 13.8987i | 0.854611 | + | 0.582664i | 0.909441 | − | 0.415832i | \(-0.136510\pi\) |
−0.0548309 | + | 0.998496i | \(0.517462\pi\) | |||||||
\(570\) | 2.54499 | + | 33.9605i | 0.106598 | + | 1.42245i | ||||
\(571\) | −28.2223 | − | 35.3897i | −1.18107 | − | 1.48101i | −0.841354 | − | 0.540484i | \(-0.818241\pi\) |
−0.339714 | − | 0.940529i | \(-0.610330\pi\) | |||||||
\(572\) | −0.934269 | + | 12.4670i | −0.0390638 | + | 0.521270i | ||||
\(573\) | −26.3857 | − | 45.7013i | −1.10228 | − | 1.90920i | ||||
\(574\) | −15.0456 | − | 7.24558i | −0.627991 | − | 0.302425i | ||||
\(575\) | 6.58517 | 0.274621 | ||||||||
\(576\) | −8.32275 | + | 36.4643i | −0.346781 | + | 1.51935i | ||||
\(577\) | 43.3976 | 1.80667 | 0.903333 | − | 0.428941i | \(-0.141113\pi\) | ||||
0.903333 | + | 0.428941i | \(0.141113\pi\) | |||||||
\(578\) | −48.0605 | + | 60.2660i | −1.99905 | + | 2.50673i | ||||
\(579\) | 17.8703 | − | 45.5329i | 0.742666 | − | 1.89228i | ||||
\(580\) | −19.0367 | − | 48.5048i | −0.790457 | − | 2.01405i | ||||
\(581\) | −0.114533 | + | 0.291826i | −0.00475164 | + | 0.0121070i | ||||
\(582\) | 61.3829 | − | 76.9717i | 2.54440 | − | 3.19058i | ||||
\(583\) | 0.774917 | + | 10.3405i | 0.0320938 | + | 0.428262i | ||||
\(584\) | −17.4967 | − | 5.39701i | −0.724017 | − | 0.223330i | ||||
\(585\) | −2.04124 | −0.0843949 | ||||||||
\(586\) | 0.115598 | − | 1.54255i | 0.00477530 | − | 0.0637220i | ||||
\(587\) | 6.65055 | + | 11.5191i | 0.274498 | + | 0.475444i | 0.970008 | − | 0.243072i | \(-0.0781551\pi\) |
−0.695511 | + | 0.718516i | \(0.744822\pi\) | |||||||
\(588\) | −27.9955 | + | 48.4897i | −1.15452 | + | 1.99968i | ||||
\(589\) | −13.3876 | − | 9.12749i | −0.551625 | − | 0.376092i | ||||
\(590\) | −6.59181 | + | 0.993555i | −0.271380 | + | 0.0409040i | ||||
\(591\) | 5.10885 | − | 6.40630i | 0.210150 | − | 0.263520i | ||||
\(592\) | −63.6756 | − | 43.4133i | −2.61705 | − | 1.78427i | ||||
\(593\) | −3.01001 | −0.123606 | −0.0618031 | − | 0.998088i | \(-0.519685\pi\) | ||||
−0.0618031 | + | 0.998088i | \(0.519685\pi\) | |||||||
\(594\) | −8.02182 | − | 13.8942i | −0.329139 | − | 0.570086i | ||||
\(595\) | 15.4222 | − | 10.5147i | 0.632249 | − | 0.431060i | ||||
\(596\) | −102.587 | + | 31.6438i | −4.20211 | + | 1.29618i | ||||
\(597\) | 15.4530 | + | 2.32917i | 0.632450 | + | 0.0953265i | ||||
\(598\) | 3.75868 | − | 2.56262i | 0.153704 | − | 0.104793i | ||||
\(599\) | −9.01303 | + | 4.34045i | −0.368262 | + | 0.177346i | −0.608857 | − | 0.793280i | \(-0.708372\pi\) |
0.240595 | + | 0.970626i | \(0.422657\pi\) | |||||||
\(600\) | −26.8232 | + | 18.2877i | −1.09505 | + | 0.746594i | ||||
\(601\) | −3.71042 | + | 6.42664i | −0.151351 | + | 0.262148i | −0.931724 | − | 0.363166i | \(-0.881696\pi\) |
0.780373 | + | 0.625314i | \(0.215029\pi\) | |||||||
\(602\) | 6.81006 | + | 29.8368i | 0.277557 | + | 1.21606i | ||||
\(603\) | 2.15023 | − | 28.6928i | 0.0875640 | − | 1.16846i | ||||
\(604\) | 75.2097 | + | 51.2771i | 3.06024 | + | 2.08644i | ||||
\(605\) | −35.2269 | − | 10.8660i | −1.43218 | − | 0.441768i | ||||
\(606\) | 37.5200 | − | 64.9866i | 1.52415 | − | 2.63990i | ||||
\(607\) | 1.65585 | − | 22.0958i | 0.0672089 | − | 0.896841i | −0.857089 | − | 0.515169i | \(-0.827729\pi\) |
0.924298 | − | 0.381672i | \(-0.124652\pi\) | |||||||
\(608\) | 40.5552 | + | 12.5096i | 1.64473 | + | 0.507332i | ||||
\(609\) | 14.8324 | + | 13.7625i | 0.601040 | + | 0.557684i | ||||
\(610\) | −1.20840 | − | 3.07895i | −0.0489266 | − | 0.124663i | ||||
\(611\) | −3.12695 | − | 1.50586i | −0.126503 | − | 0.0609205i | ||||
\(612\) | 19.3898 | − | 84.9524i | 0.783787 | − | 3.43400i | ||||
\(613\) | −0.0463443 | + | 0.0142953i | −0.00187183 | + | 0.000577383i | −0.295691 | − | 0.955284i | \(-0.595550\pi\) |
0.293819 | + | 0.955861i | \(0.405074\pi\) | |||||||
\(614\) | −14.7750 | − | 4.55749i | −0.596271 | − | 0.183925i | ||||
\(615\) | 15.9934 | + | 7.70203i | 0.644917 | + | 0.310576i | ||||
\(616\) | 56.7913 | + | 38.7196i | 2.28819 | + | 1.56006i | ||||
\(617\) | 16.2241 | + | 15.0538i | 0.653159 | + | 0.606043i | 0.935524 | − | 0.353264i | \(-0.114928\pi\) |
−0.282365 | + | 0.959307i | \(0.591119\pi\) | |||||||
\(618\) | −76.5806 | − | 23.6220i | −3.08052 | − | 0.950215i | ||||
\(619\) | 27.0395 | 1.08681 | 0.543405 | − | 0.839470i | \(-0.317135\pi\) | ||||
0.543405 | + | 0.839470i | \(0.317135\pi\) | |||||||
\(620\) | −3.70779 | + | 49.4770i | −0.148908 | + | 1.98704i | ||||
\(621\) | −1.52814 | + | 3.89363i | −0.0613221 | + | 0.156246i | ||||
\(622\) | 20.0858 | + | 18.6369i | 0.805369 | + | 0.747273i | ||||
\(623\) | −0.966169 | + | 12.8926i | −0.0387087 | + | 0.516532i | ||||
\(624\) | −4.34942 | + | 11.0821i | −0.174116 | + | 0.443641i | ||||
\(625\) | 13.4579 | + | 2.02846i | 0.538317 | + | 0.0811382i | ||||
\(626\) | −19.1654 | − | 24.0327i | −0.766005 | − | 0.960540i | ||||
\(627\) | 35.5746 | − | 17.1318i | 1.42071 | − | 0.684180i | ||||
\(628\) | −23.3626 | + | 11.2508i | −0.932268 | + | 0.448956i | ||||
\(629\) | 37.7671 | + | 25.7491i | 1.50587 | + | 1.02669i | ||||
\(630\) | −9.28560 | + | 16.0831i | −0.369947 | + | 0.640767i | ||||
\(631\) | −6.52520 | + | 8.18234i | −0.259764 | + | 0.325734i | −0.894562 | − | 0.446945i | \(-0.852512\pi\) |
0.634797 | + | 0.772679i | \(0.281084\pi\) | |||||||
\(632\) | −101.541 | + | 48.8996i | −4.03909 | + | 1.94512i | ||||
\(633\) | 3.54992 | + | 47.3704i | 0.141097 | + | 1.88280i | ||||
\(634\) | −8.88429 | − | 11.1405i | −0.352840 | − | 0.442448i | ||||
\(635\) | 2.96311 | + | 2.74936i | 0.117587 | + | 0.109105i | ||||
\(636\) | −4.90767 | + | 21.5019i | −0.194602 | + | 0.852607i | ||||
\(637\) | −1.29736 | + | 1.62684i | −0.0514034 | + | 0.0644578i | ||||
\(638\) | −61.8103 | + | 57.3515i | −2.44709 | + | 2.27057i | ||||
\(639\) | 3.09685 | − | 41.3246i | 0.122510 | − | 1.63478i | ||||
\(640\) | −4.35849 | − | 19.0958i | −0.172285 | − | 0.754828i | ||||
\(641\) | 9.24777 | − | 4.45349i | 0.365265 | − | 0.175902i | −0.242244 | − | 0.970215i | \(-0.577883\pi\) |
0.607509 | + | 0.794313i | \(0.292169\pi\) | |||||||
\(642\) | 78.3327 | + | 72.6821i | 3.09155 | + | 2.86854i | ||||
\(643\) | 1.05011 | + | 1.81884i | 0.0414123 | + | 0.0717282i | 0.885989 | − | 0.463707i | \(-0.153481\pi\) |
−0.844576 | + | 0.535435i | \(0.820148\pi\) | |||||||
\(644\) | −2.21605 | − | 29.5711i | −0.0873245 | − | 1.16526i | ||||
\(645\) | −7.23907 | − | 31.7164i | −0.285038 | − | 1.24883i | ||||
\(646\) | −51.6268 | − | 15.9248i | −2.03123 | − | 0.626552i | ||||
\(647\) | −10.5538 | + | 46.2393i | −0.414914 | + | 1.81786i | 0.145155 | + | 0.989409i | \(0.453632\pi\) |
−0.560068 | + | 0.828446i | \(0.689225\pi\) | |||||||
\(648\) | −18.3509 | − | 80.4007i | −0.720893 | − | 3.15844i | ||||
\(649\) | 3.86450 | + | 6.69351i | 0.151695 | + | 0.262743i | ||||
\(650\) | −1.79876 | + | 0.866238i | −0.0705533 | + | 0.0339767i | ||||
\(651\) | −7.03885 | − | 17.9347i | −0.275874 | − | 0.702916i | ||||
\(652\) | 17.0486 | + | 74.6947i | 0.667674 | + | 2.92527i | ||||
\(653\) | 5.65040 | + | 9.78679i | 0.221117 | + | 0.382986i | 0.955148 | − | 0.296130i | \(-0.0956963\pi\) |
−0.734030 | + | 0.679117i | \(0.762363\pi\) | |||||||
\(654\) | −16.4728 | −0.644137 | ||||||||
\(655\) | −24.2843 | − | 16.5568i | −0.948867 | − | 0.646926i | ||||
\(656\) | 34.8055 | − | 32.2948i | 1.35893 | − | 1.26090i | ||||
\(657\) | −5.67176 | + | 0.854881i | −0.221277 | + | 0.0333521i | ||||
\(658\) | −26.0893 | + | 17.7874i | −1.01707 | + | 0.693424i | ||||
\(659\) | −15.0450 | − | 2.26767i | −0.586069 | − | 0.0883358i | −0.150687 | − | 0.988581i | \(-0.548149\pi\) |
−0.435382 | + | 0.900246i | \(0.643387\pi\) | |||||||
\(660\) | −99.8986 | − | 68.1097i | −3.88855 | − | 2.65117i | ||||
\(661\) | −21.6083 | + | 27.0959i | −0.840465 | + | 1.05391i | 0.157331 | + | 0.987546i | \(0.449711\pi\) |
−0.997796 | + | 0.0663636i | \(0.978860\pi\) | |||||||
\(662\) | −8.52764 | − | 7.91249i | −0.331436 | − | 0.307528i | ||||
\(663\) | 2.57972 | − | 6.57301i | 0.100188 | − | 0.255274i | ||||
\(664\) | −1.23088 | − | 1.14209i | −0.0477674 | − | 0.0443217i | ||||
\(665\) | 6.81652 | + | 4.64742i | 0.264333 | + | 0.180219i | ||||
\(666\) | −44.9705 | − | 6.77822i | −1.74257 | − | 0.262651i | ||||
\(667\) | 21.7375 | + | 3.27640i | 0.841679 | + | 0.126863i | ||||
\(668\) | 0.198126 | + | 0.343165i | 0.00766573 | + | 0.0132774i | ||||
\(669\) | −4.80119 | + | 12.2332i | −0.185625 | + | 0.472964i | ||||
\(670\) | 19.9581 | + | 50.8524i | 0.771048 | + | 1.96460i | ||||
\(671\) | −2.81117 | + | 2.60838i | −0.108524 | + | 0.100696i | ||||
\(672\) | 31.4644 | + | 39.4551i | 1.21376 | + | 1.52201i | ||||
\(673\) | −26.0171 | + | 8.02523i | −1.00289 | + | 0.309350i | −0.752355 | − | 0.658758i | \(-0.771082\pi\) |
−0.250533 | + | 0.968108i | \(0.580606\pi\) | |||||||
\(674\) | −6.84154 | − | 91.2941i | −0.263526 | − | 3.51652i | ||||
\(675\) | 0.917844 | − | 1.58975i | 0.0353278 | − | 0.0611896i | ||||
\(676\) | 32.3592 | − | 56.0479i | 1.24459 | − | 2.15569i | ||||
\(677\) | −17.5686 | − | 5.41918i | −0.675215 | − | 0.208276i | −0.0618614 | − | 0.998085i | \(-0.519704\pi\) |
−0.613353 | + | 0.789809i | \(0.710180\pi\) | |||||||
\(678\) | 11.0179 | + | 48.2728i | 0.423142 | + | 1.85391i | ||||
\(679\) | −5.30708 | − | 23.2518i | −0.203667 | − | 0.892324i | ||||
\(680\) | 22.2464 | + | 97.4679i | 0.853111 | + | 3.73772i | ||||
\(681\) | −3.41128 | + | 8.69181i | −0.130721 | + | 0.333071i | ||||
\(682\) | 76.7212 | − | 23.6654i | 2.93781 | − | 0.906194i | ||||
\(683\) | −1.01724 | + | 1.76191i | −0.0389235 | + | 0.0674175i | −0.884831 | − | 0.465912i | \(-0.845726\pi\) |
0.845907 | + | 0.533330i | \(0.179060\pi\) | |||||||
\(684\) | 38.0838 | − | 5.74022i | 1.45617 | − | 0.219483i | ||||
\(685\) | 0.126675 | − | 0.158845i | 0.00484000 | − | 0.00606917i | ||||
\(686\) | 17.2042 | + | 43.8357i | 0.656860 | + | 1.67365i | ||||
\(687\) | 42.1847 | − | 39.1417i | 1.60945 | − | 1.49335i | ||||
\(688\) | −86.0430 | − | 12.9689i | −3.28036 | − | 0.494435i | ||||
\(689\) | −0.299445 | + | 0.762972i | −0.0114079 | + | 0.0290669i | ||||
\(690\) | 3.28778 | + | 43.8723i | 0.125164 | + | 1.67019i | ||||
\(691\) | −0.0493475 | + | 0.658496i | −0.00187727 | + | 0.0250504i | −0.998064 | − | 0.0621990i | \(-0.980189\pi\) |
0.996187 | + | 0.0872494i | \(0.0278077\pi\) | |||||||
\(692\) | 14.8086 | + | 25.6493i | 0.562939 | + | 0.975039i | ||||
\(693\) | 21.2913 | + | 3.20915i | 0.808790 | + | 0.121906i | ||||
\(694\) | −18.7273 | + | 47.7163i | −0.710878 | + | 1.81129i | ||||
\(695\) | −3.13365 | − | 1.50909i | −0.118866 | − | 0.0572429i | ||||
\(696\) | −97.6416 | + | 47.0217i | −3.70110 | + | 1.78235i | ||||
\(697\) | −20.6437 | + | 19.1546i | −0.781937 | + | 0.725532i | ||||
\(698\) | −50.4152 | − | 24.2787i | −1.90824 | − | 0.918961i | ||||
\(699\) | −26.6042 | − | 4.00993i | −1.00626 | − | 0.151670i | ||||
\(700\) | −0.972554 | + | 12.9778i | −0.0367591 | + | 0.490516i | ||||
\(701\) | −37.2117 | − | 17.9202i | −1.40547 | − | 0.676837i | −0.431205 | − | 0.902254i | \(-0.641911\pi\) |
−0.974262 | + | 0.225417i | \(0.927626\pi\) | |||||||
\(702\) | −0.0947669 | − | 1.26458i | −0.00357675 | − | 0.0477284i | ||||
\(703\) | −4.49567 | + | 19.6968i | −0.169557 | + | 0.742879i | ||||
\(704\) | −68.0259 | + | 46.3793i | −2.56382 | + | 1.74798i | ||||
\(705\) | 27.7328 | − | 18.9079i | 1.04448 | − | 0.712113i | ||||
\(706\) | 2.92778 | − | 39.0685i | 0.110189 | − | 1.47036i | ||||
\(707\) | −6.64139 | − | 16.9220i | −0.249775 | − | 0.636416i | ||||
\(708\) | 3.65796 | + | 16.0266i | 0.137475 | + | 0.602316i | ||||
\(709\) | 7.31238 | + | 18.6316i | 0.274622 | + | 0.699726i | 0.999936 | + | 0.0113074i | \(0.00359934\pi\) |
−0.725314 | + | 0.688418i | \(0.758305\pi\) | |||||||
\(710\) | 28.7445 | + | 73.2398i | 1.07876 | + | 2.74864i | ||||
\(711\) | −22.0123 | + | 27.6026i | −0.825527 | + | 1.03518i | ||||
\(712\) | −62.3900 | − | 30.0454i | −2.33816 | − | 1.12600i | ||||
\(713\) | −17.2949 | − | 11.7915i | −0.647700 | − | 0.441595i | ||||
\(714\) | −40.0542 | − | 50.2264i | −1.49899 | − | 1.87968i | ||||
\(715\) | −3.29383 | − | 3.05623i | −0.123182 | − | 0.114297i | ||||
\(716\) | 10.0971 | − | 25.7270i | 0.377347 | − | 0.961464i | ||||
\(717\) | −13.5424 | − | 34.5056i | −0.505752 | − | 1.28864i | ||||
\(718\) | −64.1858 | + | 19.7987i | −2.39539 | + | 0.738880i | ||||
\(719\) | −31.3015 | −1.16735 | −0.583674 | − | 0.811988i | \(-0.698385\pi\) | ||||
−0.583674 | + | 0.811988i | \(0.698385\pi\) | |||||||
\(720\) | −32.9217 | − | 41.2825i | −1.22692 | − | 1.53851i | ||||
\(721\) | −16.0409 | + | 10.9365i | −0.597393 | + | 0.407295i | ||||
\(722\) | 1.98666 | + | 26.5101i | 0.0739358 | + | 0.986605i | ||||
\(723\) | 28.9781 | − | 26.8878i | 1.07771 | − | 0.999967i | ||||
\(724\) | 29.0034 | + | 73.8994i | 1.07790 | + | 2.74645i | ||||
\(725\) | −9.21904 | − | 2.84370i | −0.342387 | − | 0.105612i | ||||
\(726\) | −28.2331 | + | 123.697i | −1.04783 | + | 4.59084i | ||||
\(727\) | −34.1385 | − | 31.6759i | −1.26613 | − | 1.17479i | −0.975992 | − | 0.217808i | \(-0.930109\pi\) |
−0.290135 | − | 0.956986i | \(-0.593700\pi\) | |||||||
\(728\) | 2.71647 | + | 4.70506i | 0.100679 | + | 0.174381i | ||||
\(729\) | −11.3527 | − | 14.2359i | −0.420472 | − | 0.527255i | ||||
\(730\) | 8.99774 | − | 6.13456i | 0.333021 | − | 0.227050i | ||||
\(731\) | 51.0336 | + | 7.69207i | 1.88754 | + | 0.284502i | ||||
\(732\) | −7.34865 | + | 3.53892i | −0.271614 | + | 0.130802i | ||||
\(733\) | 6.58194 | − | 0.992068i | 0.243110 | − | 0.0366429i | −0.0263571 | − | 0.999653i | \(-0.508391\pi\) |
0.269467 | + | 0.963010i | \(0.413153\pi\) | |||||||
\(734\) | −1.40473 | + | 1.30340i | −0.0518497 | + | 0.0481095i | ||||
\(735\) | −7.35204 | − | 18.7327i | −0.271184 | − | 0.690966i | ||||
\(736\) | 52.3918 | + | 16.1607i | 1.93119 | + | 0.595692i | ||||
\(737\) | 46.4297 | − | 43.0805i | 1.71026 | − | 1.58689i | ||||
\(738\) | 10.2365 | − | 26.0821i | 0.376810 | − | 0.960096i | ||||
\(739\) | 37.9772 | − | 18.2889i | 1.39702 | − | 0.672767i | 0.424462 | − | 0.905446i | \(-0.360463\pi\) |
0.972554 | + | 0.232678i | \(0.0747490\pi\) | |||||||
\(740\) | 59.1167 | − | 18.2351i | 2.17317 | − | 0.670335i | ||||
\(741\) | 3.12097 | 0.114652 | ||||||||
\(742\) | 4.64936 | + | 5.83011i | 0.170683 | + | 0.214030i | ||||
\(743\) | 52.3758 | − | 7.89438i | 1.92148 | − | 0.289617i | 0.925468 | − | 0.378826i | \(-0.123672\pi\) |
0.996013 | + | 0.0892089i | \(0.0284339\pi\) | |||||||
\(744\) | 103.193 | 3.78325 | ||||||||
\(745\) | 14.0966 | − | 35.9176i | 0.516461 | − | 1.31592i | ||||
\(746\) | 35.6872 | + | 61.8120i | 1.30660 | + | 2.26310i | ||||
\(747\) | −0.502631 | − | 0.155041i | −0.0183903 | − | 0.00567266i | ||||
\(748\) | 158.482 | − | 108.052i | 5.79469 | − | 3.95076i | ||||
\(749\) | 25.5975 | − | 3.85820i | 0.935312 | − | 0.140976i | ||||
\(750\) | 5.68671 | − | 75.8839i | 0.207649 | − | 2.77089i | ||||
\(751\) | −43.4421 | + | 20.9206i | −1.58523 | + | 0.763405i | −0.998910 | − | 0.0466777i | \(-0.985137\pi\) |
−0.586316 | + | 0.810082i | \(0.699422\pi\) | |||||||
\(752\) | −19.9775 | − | 87.5271i | −0.728504 | − | 3.19178i | ||||
\(753\) | −3.34012 | − | 8.51048i | −0.121721 | − | 0.310139i | ||||
\(754\) | −6.36866 | + | 1.96447i | −0.231933 | + | 0.0715418i | ||||
\(755\) | −31.2624 | + | 9.64317i | −1.13776 | + | 0.350951i | ||||
\(756\) | −7.44775 | − | 3.58665i | −0.270872 | − | 0.130445i | ||||
\(757\) | −36.2909 | + | 5.46997i | −1.31902 | + | 0.198810i | −0.770559 | − | 0.637369i | \(-0.780023\pi\) |
−0.548457 | + | 0.836179i | \(0.684785\pi\) | |||||||
\(758\) | 63.2600 | − | 58.6967i | 2.29771 | − | 2.13196i | ||||
\(759\) | 45.9576 | − | 22.1320i | 1.66816 | − | 0.803341i | ||||
\(760\) | −36.5099 | + | 24.8920i | −1.32435 | + | 0.902928i | ||||
\(761\) | −2.19342 | + | 29.2691i | −0.0795113 | + | 1.06100i | 0.804627 | + | 0.593780i | \(0.202365\pi\) |
−0.884139 | + | 0.467225i | \(0.845254\pi\) | |||||||
\(762\) | 8.67401 | − | 10.8769i | 0.314226 | − | 0.394027i | ||||
\(763\) | −2.48808 | + | 3.11995i | −0.0900744 | + | 0.112950i | ||||
\(764\) | 56.6538 | − | 98.1273i | 2.04966 | − | 3.55012i | ||||
\(765\) | 19.5264 | + | 24.4854i | 0.705980 | + | 0.885270i | ||||
\(766\) | 64.7785 | + | 60.1056i | 2.34054 | + | 2.17170i | ||||
\(767\) | 0.0456538 | + | 0.609208i | 0.00164846 | + | 0.0219972i | ||||
\(768\) | 1.79480 | − | 0.553622i | 0.0647642 | − | 0.0199771i | ||||
\(769\) | −13.4940 | − | 23.3724i | −0.486608 | − | 0.842829i | 0.513274 | − | 0.858225i | \(-0.328433\pi\) |
−0.999881 | + | 0.0153957i | \(0.995099\pi\) | |||||||
\(770\) | −39.0640 | + | 12.0496i | −1.40777 | + | 0.434239i | ||||
\(771\) | −11.2776 | + | 49.4104i | −0.406153 | + | 1.77947i | ||||
\(772\) | 103.853 | − | 15.6532i | 3.73773 | − | 0.563373i | ||||
\(773\) | −14.0720 | + | 17.6458i | −0.506135 | + | 0.634674i | −0.967601 | − | 0.252484i | \(-0.918752\pi\) |
0.461466 | + | 0.887158i | \(0.347324\pi\) | |||||||
\(774\) | −49.0677 | + | 15.1354i | −1.76370 | + | 0.544031i | ||||
\(775\) | 6.73415 | + | 6.24837i | 0.241898 | + | 0.224448i | ||||
\(776\) | 126.315 | + | 19.0389i | 4.53444 | + | 0.683457i | ||||
\(777\) | −17.6102 | + | 16.3399i | −0.631763 | + | 0.586191i | ||||
\(778\) | −18.4146 | − | 31.8949i | −0.660194 | − | 1.14349i | ||||
\(779\) | −11.2145 | − | 5.40061i | −0.401800 | − | 0.193497i | ||||
\(780\) | −4.77840 | − | 8.27643i | −0.171094 | − | 0.296344i | ||||
\(781\) | 66.8701 | − | 62.0464i | 2.39280 | − | 2.22019i | ||||
\(782\) | −66.6949 | − | 20.5726i | −2.38500 | − | 0.735676i | ||||
\(783\) | 3.82075 | − | 4.79107i | 0.136542 | − | 0.171219i | ||||
\(784\) | −53.8259 | −1.92235 | ||||||||
\(785\) | 2.07382 | − | 9.08602i | 0.0740180 | − | 0.324294i | ||||
\(786\) | −50.5787 | + | 87.6049i | −1.80408 | + | 3.12476i | ||||
\(787\) | 2.52999 | − | 11.0846i | 0.0901845 | − | 0.395124i | −0.909609 | − | 0.415466i | \(-0.863618\pi\) |
0.999793 | + | 0.0203421i | \(0.00647553\pi\) | |||||||
\(788\) | 17.3971 | + | 2.62219i | 0.619746 | + | 0.0934117i | ||||
\(789\) | 1.13175 | − | 0.545021i | 0.0402913 | − | 0.0194033i | ||||
\(790\) | 14.9156 | − | 65.3493i | 0.530671 | − | 2.32502i | ||||
\(791\) | 10.8070 | + | 5.20440i | 0.384254 | + | 0.185047i | ||||
\(792\) | −57.6631 | + | 99.8755i | −2.04897 | + | 3.54892i | ||||
\(793\) | −0.289651 | + | 0.0893454i | −0.0102858 | + | 0.00317275i | ||||
\(794\) | 60.1708 | + | 75.4518i | 2.13538 | + | 2.67768i | ||||
\(795\) | −4.94225 | − | 6.19738i | −0.175284 | − | 0.219799i | ||||
\(796\) | 12.2589 | + | 31.2351i | 0.434504 | + | 1.10710i | ||||
\(797\) | 31.8961 | − | 21.7464i | 1.12982 | − | 0.770298i | 0.153826 | − | 0.988098i | \(-0.450840\pi\) |
0.975993 | + | 0.217800i | \(0.0698880\pi\) | |||||||
\(798\) | 14.1973 | − | 24.5904i | 0.502577 | − | 0.870490i | ||||
\(799\) | 11.8490 | + | 51.9138i | 0.419187 | + | 1.83658i | ||||
\(800\) | −21.6792 | − | 10.4402i | −0.766477 | − | 0.369116i | ||||
\(801\) | −21.6925 | −0.766467 | ||||||||
\(802\) | −16.3287 | + | 71.5408i | −0.576587 | + | 2.52619i | ||||
\(803\) | −10.4322 | − | 7.11253i | −0.368143 | − | 0.250996i | ||||
\(804\) | 121.371 | − | 58.4494i | 4.28044 | − | 2.06135i | ||||
\(805\) | 8.80602 | + | 6.00384i | 0.310371 | + | 0.211608i | ||||
\(806\) | 6.27527 | + | 0.945844i | 0.221037 | + | 0.0333159i | ||||
\(807\) | −1.88736 | + | 4.80893i | −0.0664384 | + | 0.169282i | ||||
\(808\) | 97.3661 | 3.42533 | ||||||||
\(809\) | 27.6351 | − | 4.16532i | 0.971598 | − | 0.146445i | 0.355983 | − | 0.934492i | \(-0.384146\pi\) |
0.615614 | + | 0.788048i | \(0.288908\pi\) | |||||||
\(810\) | 44.1910 | + | 21.2812i | 1.55271 | + | 0.747747i | ||||
\(811\) | 17.9159 | − | 2.70039i | 0.629113 | − | 0.0948235i | 0.173256 | − | 0.984877i | \(-0.444571\pi\) |
0.455857 | + | 0.890053i | \(0.349333\pi\) | |||||||
\(812\) | −9.66739 | + | 42.3556i | −0.339259 | + | 1.48639i | ||||
\(813\) | −13.9937 | + | 2.10922i | −0.490782 | + | 0.0739735i | ||||
\(814\) | −62.4177 | − | 78.2694i | −2.18774 | − | 2.74334i | ||||
\(815\) | −24.8095 | − | 11.9476i | −0.869038 | − | 0.418507i | ||||
\(816\) | 174.540 | − | 53.8386i | 6.11014 | − | 1.88473i | ||||
\(817\) | 5.07598 | + | 22.2393i | 0.177586 | + | 0.778056i | ||||
\(818\) | 16.1539 | + | 14.9887i | 0.564809 | + | 0.524066i | ||||
\(819\) | 1.40619 | + | 0.958725i | 0.0491363 | + | 0.0335006i | ||||
\(820\) | 2.84832 | + | 38.0081i | 0.0994675 | + | 1.32730i | ||||
\(821\) | 1.60751 | + | 21.4508i | 0.0561026 | + | 0.748638i | 0.952335 | + | 0.305053i | \(0.0986743\pi\) |
−0.896233 | + | 0.443584i | \(0.853707\pi\) | |||||||
\(822\) | −0.577756 | − | 0.393908i | −0.0201516 | − | 0.0137391i | ||||
\(823\) | −10.6783 | − | 9.90797i | −0.372220 | − | 0.345370i | 0.471776 | − | 0.881718i | \(-0.343613\pi\) |
−0.843997 | + | 0.536348i | \(0.819803\pi\) | |||||||
\(824\) | −23.1388 | − | 101.378i | −0.806078 | − | 3.53166i | ||||
\(825\) | −21.3917 | + | 6.59847i | −0.744764 | + | 0.229729i | ||||
\(826\) | 5.00769 | + | 2.41157i | 0.174240 | + | 0.0839094i | ||||
\(827\) | −22.2131 | − | 27.8543i | −0.772424 | − | 0.968589i | 0.227563 | − | 0.973763i | \(-0.426924\pi\) |
−0.999987 | + | 0.00517443i | \(0.998353\pi\) | |||||||
\(828\) | 49.1992 | − | 7.41558i | 1.70979 | − | 0.257709i | ||||
\(829\) | 2.01776 | − | 8.84038i | 0.0700797 | − | 0.307039i | −0.927725 | − | 0.373264i | \(-0.878238\pi\) |
0.997805 | + | 0.0662253i | \(0.0210956\pi\) | |||||||
\(830\) | 0.987506 | − | 0.148843i | 0.0342768 | − | 0.00516640i | ||||
\(831\) | 22.4450 | + | 10.8089i | 0.778608 | + | 0.374958i | ||||
\(832\) | −6.43501 | + | 0.969921i | −0.223094 | + | 0.0336260i | ||||
\(833\) | 31.9250 | 1.10614 | ||||||||
\(834\) | −4.37337 | + | 11.1432i | −0.151438 | + | 0.385857i | ||||
\(835\) | −0.140826 | − | 0.0212262i | −0.00487350 | − | 0.000734562i | ||||
\(836\) | 70.0482 | + | 47.7581i | 2.42267 | + | 1.65175i | ||||
\(837\) | −5.25720 | + | 2.53174i | −0.181716 | + | 0.0875096i | ||||
\(838\) | −51.6631 | − | 35.2233i | −1.78467 | − | 1.21677i | ||||
\(839\) | 8.84881 | − | 38.7692i | 0.305495 | − | 1.33846i | −0.556207 | − | 0.831044i | \(-0.687744\pi\) |
0.861701 | − | 0.507416i | \(-0.169399\pi\) | |||||||
\(840\) | −52.5426 | −1.81289 | ||||||||
\(841\) | −2.88887 | − | 1.39120i | −0.0996161 | − | 0.0479726i | ||||
\(842\) | −16.6641 | − | 73.0100i | −0.574281 | − | 2.51609i | ||||
\(843\) | −32.6546 | + | 56.5595i | −1.12469 | + | 1.94801i | ||||
\(844\) | −84.2732 | + | 57.4565i | −2.90080 | + | 1.97773i | ||||
\(845\) | 8.49801 | + | 21.6526i | 0.292340 | + | 0.744871i | ||||
\(846\) | −33.0322 | − | 41.4211i | −1.13567 | − | 1.42409i | ||||
\(847\) | 19.1639 | + | 24.0308i | 0.658480 | + | 0.825708i | ||||
\(848\) | −20.2601 | + | 6.24940i | −0.695733 | + | 0.214605i | ||||
\(849\) | −27.1949 | + | 47.1029i | −0.933325 | + | 1.61657i | ||||
\(850\) | 27.5977 | + | 13.2904i | 0.946594 | + | 0.455855i | ||||
\(851\) | −5.80779 | + | 25.4456i | −0.199089 | + | 0.872264i | ||||
\(852\) | 174.804 | − | 84.1814i | 5.98870 | − | 2.88401i | ||||
\(853\) | 39.8023 | + | 5.99924i | 1.36281 | + | 0.205410i | 0.789409 | − | 0.613868i | \(-0.210387\pi\) |
0.573397 | + | 0.819278i | \(0.305625\pi\) | |||||||
\(854\) | −0.613659 | + | 2.68861i | −0.0209990 | + | 0.0920025i | ||||
\(855\) | −6.92116 | + | 11.9878i | −0.236699 | + | 0.409974i | ||||
\(856\) | −30.8528 | + | 135.175i | −1.05453 | + | 4.62018i | ||||
\(857\) | −18.8239 | −0.643013 | −0.321506 | − | 0.946907i | \(-0.604189\pi\) | ||||
−0.321506 | + | 0.946907i | \(0.604189\pi\) | |||||||
\(858\) | −9.64215 | + | 12.0909i | −0.329178 | + | 0.412776i | ||||
\(859\) | 7.17145 | + | 2.21210i | 0.244687 | + | 0.0754759i | 0.414673 | − | 0.909971i | \(-0.363896\pi\) |
−0.169986 | + | 0.985446i | \(0.554372\pi\) | |||||||
\(860\) | 51.2044 | − | 47.5108i | 1.74606 | − | 1.62010i | ||||
\(861\) | −7.40025 | − | 12.8176i | −0.252200 | − | 0.436823i | ||||
\(862\) | −50.2206 | − | 24.1850i | −1.71052 | − | 0.823743i | ||||
\(863\) | 16.9120 | + | 29.2924i | 0.575691 | + | 0.997126i | 0.995966 | + | 0.0897296i | \(0.0286003\pi\) |
−0.420275 | + | 0.907397i | \(0.638066\pi\) | |||||||
\(864\) | 11.2038 | − | 10.3956i | 0.381162 | − | 0.353666i | ||||
\(865\) | −10.5258 | − | 1.58652i | −0.357889 | − | 0.0539431i | ||||
\(866\) | 64.5133 | + | 59.8596i | 2.19225 | + | 2.03411i | ||||
\(867\) | −65.2829 | + | 20.1371i | −2.21712 | + | 0.683892i | ||||
\(868\) | 25.7925 | − | 32.3428i | 0.875455 | − | 1.09779i | ||||
\(869\) | −76.8478 | + | 11.5829i | −2.60688 | + | 0.392924i | ||||
\(870\) | 14.3428 | − | 62.8397i | 0.486265 | − | 2.13047i | ||||
\(871\) | 4.78391 | − | 1.47564i | 0.162097 | − | 0.0500002i | ||||
\(872\) | −10.6869 | − | 18.5103i | −0.361904 | − | 0.626836i | ||||
\(873\) | 38.2385 | − | 11.7950i | 1.29418 | − | 0.399201i | ||||
\(874\) | −2.30537 | − | 30.7630i | −0.0779802 | − | 1.04057i | ||||
\(875\) | −13.5135 | − | 12.5387i | −0.456839 | − | 0.423885i | ||||
\(876\) | −16.7434 | − | 20.9955i | −0.565707 | − | 0.709374i | ||||
\(877\) | 23.9398 | − | 41.4649i | 0.808388 | − | 1.40017i | −0.105591 | − | 0.994410i | \(-0.533674\pi\) |
0.913980 | − | 0.405760i | \(-0.132993\pi\) | |||||||
\(878\) | −17.8303 | + | 22.3585i | −0.601744 | + | 0.754563i | ||||
\(879\) | 0.854791 | − | 1.07187i | 0.0288314 | − | 0.0361534i | ||||
\(880\) | 8.68603 | − | 115.907i | 0.292806 | − | 3.90723i | ||||
\(881\) | −2.88149 | + | 1.96457i | −0.0970800 | + | 0.0661880i | −0.610887 | − | 0.791718i | \(-0.709187\pi\) |
0.513807 | + | 0.857906i | \(0.328235\pi\) | |||||||
\(882\) | −28.6180 | + | 13.7817i | −0.963619 | + | 0.464054i | ||||
\(883\) | −1.05391 | + | 0.977886i | −0.0354669 | + | 0.0329085i | −0.697707 | − | 0.716383i | \(-0.745796\pi\) |
0.662240 | + | 0.749292i | \(0.269606\pi\) | |||||||
\(884\) | 14.9919 | − | 2.25966i | 0.504232 | − | 0.0760007i | ||||
\(885\) | −5.32315 | − | 2.56349i | −0.178936 | − | 0.0861709i | ||||
\(886\) | 19.3010 | − | 5.95356i | 0.648429 | − | 0.200014i | ||||
\(887\) | −14.0311 | + | 4.32803i | −0.471119 | + | 0.145321i | −0.521219 | − | 0.853423i | \(-0.674522\pi\) |
0.0500994 | + | 0.998744i | \(0.484046\pi\) | |||||||
\(888\) | −47.0085 | − | 119.776i | −1.57750 | − | 4.01941i | ||||
\(889\) | −0.749944 | − | 3.28572i | −0.0251523 | − | 0.110199i | ||||
\(890\) | 37.1066 | − | 17.8696i | 1.24382 | − | 0.598990i | ||||
\(891\) | 4.24972 | − | 56.7085i | 0.142371 | − | 1.89981i | ||||
\(892\) | −27.9019 | + | 4.20553i | −0.934224 | + | 0.140812i | ||||
\(893\) | −19.4460 | + | 13.2581i | −0.650737 | + | 0.443665i | ||||
\(894\) | −126.899 | − | 39.1432i | −4.24414 | − | 1.30914i | ||||
\(895\) | 4.96660 | + | 8.60240i | 0.166015 | + | 0.287547i | ||||
\(896\) | −5.96635 | + | 15.2020i | −0.199322 | + | 0.507863i | ||||
\(897\) | 4.03187 | 0.134620 | ||||||||
\(898\) | −3.08272 | + | 0.464645i | −0.102872 | + | 0.0155054i | ||||
\(899\) | 19.1204 | + | 23.9762i | 0.637702 | + | 0.799653i | ||||
\(900\) | −21.8359 | −0.727862 | ||||||||
\(901\) | 12.0166 | − | 3.70663i | 0.400330 | − | 0.123486i | ||||
\(902\) | 55.5692 | − | 26.7607i | 1.85025 | − | 0.891035i | ||||
\(903\) | −9.90957 | + | 25.2492i | −0.329770 | + | 0.840240i | ||||
\(904\) | −47.0955 | + | 43.6982i | −1.56637 | + | 1.45338i | ||||
\(905\) | −27.2649 | − | 8.41012i | −0.906317 | − | 0.279562i | ||||
\(906\) | 41.1372 | + | 104.816i | 1.36669 | + | 3.48227i | ||||
\(907\) | 25.6311 | − | 23.7822i | 0.851068 | − | 0.789675i | −0.128306 | − | 0.991735i | \(-0.540954\pi\) |
0.979373 | + | 0.202059i | \(0.0647633\pi\) | |||||||
\(908\) | −19.8245 | + | 2.98806i | −0.657899 | + | 0.0991623i | ||||
\(909\) | 27.4804 | − | 13.2338i | 0.911466 | − | 0.438939i | ||||
\(910\) | −3.19516 | − | 0.481593i | −0.105919 | − | 0.0159647i | ||||
\(911\) | −8.24887 | + | 5.62398i | −0.273297 | + | 0.186331i | −0.692211 | − | 0.721695i | \(-0.743363\pi\) |
0.418914 | + | 0.908026i | \(0.362411\pi\) | |||||||
\(912\) | 50.3358 | + | 63.1192i | 1.66679 | + | 2.09008i | ||||
\(913\) | −0.578933 | − | 1.00274i | −0.0191599 | − | 0.0331859i | ||||
\(914\) | −19.4894 | − | 18.0836i | −0.644654 | − | 0.598151i | ||||
\(915\) | 0.652317 | − | 2.85799i | 0.0215649 | − | 0.0944822i | ||||
\(916\) | 118.071 | + | 36.4202i | 3.90119 | + | 1.20336i | ||||
\(917\) | 8.95289 | + | 22.8116i | 0.295651 | + | 0.753305i | ||||
\(918\) | −14.2625 | + | 13.2337i | −0.470732 | + | 0.436776i | ||||
\(919\) | 1.45623 | + | 19.4320i | 0.0480365 | + | 0.641003i | 0.968314 | + | 0.249736i | \(0.0803439\pi\) |
−0.920277 | + | 0.391267i | \(0.872037\pi\) | |||||||
\(920\) | −47.1658 | + | 32.1571i | −1.55501 | + | 1.06019i | ||||
\(921\) | −8.54417 | − | 10.7141i | −0.281540 | − | 0.353040i | ||||
\(922\) | 53.7992 | 1.77178 | ||||||||
\(923\) | 6.89001 | − | 2.12529i | 0.226787 | − | 0.0699546i | ||||
\(924\) | 36.8296 | + | 93.8403i | 1.21160 | + | 3.08712i | ||||
\(925\) | 4.18479 | − | 10.6627i | 0.137595 | − | 0.350586i | ||||
\(926\) | −39.1654 | − | 36.3402i | −1.28706 | − | 1.19421i | ||||
\(927\) | −20.3097 | − | 25.4676i | −0.667058 | − | 0.836464i | ||||
\(928\) | −66.3682 | − | 45.2491i | −2.17864 | − | 1.48537i | ||||
\(929\) | −30.4802 | − | 14.6785i | −1.00002 | − | 0.481586i | −0.139077 | − | 0.990282i | \(-0.544413\pi\) |
−0.860946 | + | 0.508696i | \(0.830128\pi\) | |||||||
\(930\) | −38.2663 | + | 47.9845i | −1.25480 | + | 1.57347i | ||||
\(931\) | 5.15520 | + | 13.1352i | 0.168955 | + | 0.430490i | ||||
\(932\) | −21.1051 | − | 53.7748i | −0.691320 | − | 1.76145i | ||||
\(933\) | 5.40384 | + | 23.6758i | 0.176914 | + | 0.775110i | ||||
\(934\) | 20.0264 | + | 51.0265i | 0.655285 | + | 1.66964i | ||||
\(935\) | −5.15183 | + | 68.7464i | −0.168483 | + | 2.24825i | ||||
\(936\) | −7.53169 | + | 5.13502i | −0.246181 | + | 0.167843i | ||||
\(937\) | 4.93207 | − | 3.36263i | 0.161124 | − | 0.109852i | −0.480074 | − | 0.877228i | \(-0.659390\pi\) |
0.641198 | + | 0.767376i | \(0.278438\pi\) | |||||||
\(938\) | 10.1353 | − | 44.4056i | 0.330929 | − | 1.44989i | ||||
\(939\) | −2.03592 | − | 27.1675i | −0.0664399 | − | 0.886579i | ||||
\(940\) | 64.9320 | + | 31.2696i | 2.11785 | + | 1.01990i | ||||
\(941\) | −0.989393 | + | 13.2025i | −0.0322533 | + | 0.430390i | 0.957581 | + | 0.288164i | \(0.0930449\pi\) |
−0.989834 | + | 0.142226i | \(0.954574\pi\) | |||||||
\(942\) | −31.7176 | − | 4.78066i | −1.03342 | − | 0.155762i | ||||
\(943\) | −14.4876 | − | 6.97685i | −0.471781 | − | 0.227198i | ||||
\(944\) | −11.5845 | + | 10.7488i | −0.377042 | + | 0.349844i | ||||
\(945\) | 2.67680 | − | 1.28908i | 0.0870762 | − | 0.0419337i | ||||
\(946\) | −101.839 | − | 49.0431i | −3.31108 | − | 1.59453i | ||||
\(947\) | −9.50886 | + | 24.2282i | −0.308997 | + | 0.787310i | 0.689043 | + | 0.724721i | \(0.258031\pi\) |
−0.998039 | + | 0.0625896i | \(0.980064\pi\) | |||||||
\(948\) | −163.447 | − | 24.6356i | −5.30851 | − | 0.800129i | ||||
\(949\) | −0.498996 | − | 0.864286i | −0.0161981 | − | 0.0280559i | ||||
\(950\) | −1.01175 | + | 13.5009i | −0.0328256 | + | 0.438027i | ||||
\(951\) | −0.943768 | − | 12.5937i | −0.0306038 | − | 0.408379i | ||||
\(952\) | 30.4531 | − | 77.5933i | 0.986992 | − | 2.51481i | ||||
\(953\) | 13.9982 | + | 2.10989i | 0.453446 | + | 0.0683460i | 0.371795 | − | 0.928315i | \(-0.378742\pi\) |
0.0816515 | + | 0.996661i | \(0.473981\pi\) | |||||||
\(954\) | −9.17171 | + | 8.51011i | −0.296945 | + | 0.275525i | ||||
\(955\) | 14.8781 | + | 37.9088i | 0.481445 | + | 1.22670i | ||||
\(956\) | 49.6237 | − | 62.2261i | 1.60494 | − | 2.01254i | ||||
\(957\) | −73.8966 | + | 11.1381i | −2.38874 | + | 0.360044i | ||||
\(958\) | 21.2448 | − | 36.7970i | 0.686388 | − | 1.18886i | ||||
\(959\) | −0.161871 | + | 0.0499307i | −0.00522710 | + | 0.00161235i | ||||
\(960\) | 22.9934 | − | 58.5862i | 0.742108 | − | 1.89086i | ||||
\(961\) | 0.400370 | + | 1.75414i | 0.0129152 | + | 0.0565851i | ||||
\(962\) | −1.76079 | − | 7.71453i | −0.0567702 | − | 0.248727i | ||||
\(963\) | 9.66493 | + | 42.3448i | 0.311448 | + | 1.36454i | ||||
\(964\) | 81.1073 | + | 25.0183i | 2.61229 | + | 0.805785i | ||||
\(965\) | −18.8736 | + | 32.6901i | −0.607564 | + | 1.05233i | ||||
\(966\) | 18.3409 | − | 31.7674i | 0.590110 | − | 1.02210i | ||||
\(967\) | 3.02733 | + | 40.3969i | 0.0973524 | + | 1.29908i | 0.805323 | + | 0.592836i | \(0.201992\pi\) |
−0.707971 | + | 0.706242i | \(0.750389\pi\) | |||||||
\(968\) | −157.314 | + | 48.5248i | −5.05625 | + | 1.55965i | ||||
\(969\) | −29.8550 | − | 37.4370i | −0.959082 | − | 1.20265i | ||||
\(970\) | −55.6934 | + | 51.6759i | −1.78821 | + | 1.65921i | ||||
\(971\) | −13.3854 | − | 34.1054i | −0.429558 | − | 1.09450i | −0.967803 | − | 0.251708i | \(-0.919008\pi\) |
0.538245 | − | 0.842788i | \(-0.319087\pi\) | |||||||
\(972\) | 38.2066 | − | 97.3487i | 1.22548 | − | 3.12246i | ||||
\(973\) | 1.44996 | + | 2.51140i | 0.0464835 | + | 0.0805118i | ||||
\(974\) | 4.01497 | + | 0.605160i | 0.128648 | + | 0.0193906i | ||||
\(975\) | −1.74970 | − | 0.263724i | −0.0560351 | − | 0.00844593i | ||||
\(976\) | −6.47851 | − | 4.41697i | −0.207372 | − | 0.141384i | ||||
\(977\) | 36.8698 | + | 34.2102i | 1.17957 | + | 1.09448i | 0.993719 | + | 0.111902i | \(0.0356944\pi\) |
0.185850 | + | 0.982578i | \(0.440496\pi\) | |||||||
\(978\) | −34.6245 | + | 88.2219i | −1.10717 | + | 2.82102i | ||||
\(979\) | −35.0039 | − | 32.4789i | −1.11873 | − | 1.03803i | ||||
\(980\) | 26.9401 | − | 33.7818i | 0.860571 | − | 1.07912i | ||||
\(981\) | −5.53213 | − | 3.77174i | −0.176627 | − | 0.120422i | ||||
\(982\) | −34.6715 | − | 5.22588i | −1.10641 | − | 0.166765i | ||||
\(983\) | 23.5588 | − | 16.0621i | 0.751410 | − | 0.512303i | −0.126008 | − | 0.992029i | \(-0.540216\pi\) |
0.877418 | + | 0.479726i | \(0.159264\pi\) | |||||||
\(984\) | 78.3874 | − | 11.8150i | 2.49890 | − | 0.376648i | ||||
\(985\) | −4.63532 | + | 4.30095i | −0.147694 | + | 0.137040i | ||||
\(986\) | 84.4868 | + | 57.6022i | 2.69061 | + | 1.83443i | ||||
\(987\) | −27.9855 | −0.890788 | ||||||||
\(988\) | 3.35058 | + | 5.80337i | 0.106596 | + | 0.184630i | ||||
\(989\) | 6.55749 | + | 28.7302i | 0.208516 | + | 0.913568i | ||||
\(990\) | −25.0590 | − | 63.8492i | −0.796426 | − | 2.02926i | ||||
\(991\) | −37.9383 | + | 18.2701i | −1.20515 | + | 0.580369i | −0.925139 | − | 0.379628i | \(-0.876052\pi\) |
−0.280009 | + | 0.959997i | \(0.590338\pi\) | |||||||
\(992\) | 38.2429 | + | 66.2386i | 1.21421 | + | 2.10308i | ||||
\(993\) | −2.29425 | − | 10.0518i | −0.0728060 | − | 0.318984i | ||||
\(994\) | 14.5973 | − | 63.9549i | 0.462998 | − | 2.02853i | ||||
\(995\) | −11.5241 | − | 3.55471i | −0.365338 | − | 0.112692i | ||||
\(996\) | −0.547992 | − | 2.40091i | −0.0173638 | − | 0.0760758i | ||||
\(997\) | −1.81415 | − | 24.2082i | −0.0574548 | − | 0.766681i | −0.949306 | − | 0.314352i | \(-0.898213\pi\) |
0.891852 | − | 0.452328i | \(-0.149406\pi\) | |||||||
\(998\) | 18.1380 | + | 31.4160i | 0.574149 | + | 0.994455i | ||||
\(999\) | 5.33343 | + | 4.94870i | 0.168742 | + | 0.156570i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 547.2.h.a.13.2 | ✓ | 540 | |
547.505 | even | 21 | inner | 547.2.h.a.505.2 | yes | 540 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
547.2.h.a.13.2 | ✓ | 540 | 1.1 | even | 1 | trivial | |
547.2.h.a.505.2 | yes | 540 | 547.505 | even | 21 | inner |