Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(59,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.bk (of order \(10\), degree \(4\), 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: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(464\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 59.5 | ||
Character | \(\chi\) | \(=\) | 600.59 |
Dual form | 600.2.bk.a.539.5 |
$q$-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 \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.40516 | − | 0.159738i | −0.993600 | − | 0.112952i | ||||
\(3\) | 0.223577 | + | 1.71756i | 0.129082 | + | 0.991634i | ||||
\(4\) | 1.94897 | + | 0.448917i | 0.974484 | + | 0.224458i | ||||
\(5\) | 0.305686 | − | 2.21507i | 0.136707 | − | 0.990612i | ||||
\(6\) | −0.0398025 | − | 2.44917i | −0.0162493 | − | 0.999868i | ||||
\(7\) | 1.47604 | 0.557892 | 0.278946 | − | 0.960307i | \(-0.410015\pi\) | ||||
0.278946 | + | 0.960307i | \(0.410015\pi\) | |||||||
\(8\) | −2.66691 | − | 0.942126i | −0.942894 | − | 0.333092i | ||||
\(9\) | −2.90003 | + | 0.768015i | −0.966675 | + | 0.256005i | ||||
\(10\) | −0.783371 | + | 3.06371i | −0.247724 | + | 0.968831i | ||||
\(11\) | −0.536105 | + | 0.737886i | −0.161642 | + | 0.222481i | −0.882154 | − | 0.470962i | \(-0.843907\pi\) |
0.720512 | + | 0.693443i | \(0.243907\pi\) | |||||||
\(12\) | −0.335296 | + | 3.44784i | −0.0967917 | + | 0.995305i | ||||
\(13\) | 4.34207 | − | 3.15470i | 1.20427 | − | 0.874956i | 0.209576 | − | 0.977792i | \(-0.432792\pi\) |
0.994698 | + | 0.102836i | \(0.0327918\pi\) | |||||||
\(14\) | −2.07408 | − | 0.235780i | −0.554321 | − | 0.0630150i | ||||
\(15\) | 3.87287 | + | 0.0297937i | 0.999970 | + | 0.00769271i | ||||
\(16\) | 3.59695 | + | 1.74985i | 0.899237 | + | 0.437462i | ||||
\(17\) | 2.18574 | − | 6.72702i | 0.530120 | − | 1.63154i | −0.223844 | − | 0.974625i | \(-0.571860\pi\) |
0.753963 | − | 0.656916i | \(-0.228140\pi\) | |||||||
\(18\) | 4.19769 | − | 0.615941i | 0.989405 | − | 0.145179i | ||||
\(19\) | 0.235261 | − | 0.724060i | 0.0539726 | − | 0.166111i | −0.920437 | − | 0.390892i | \(-0.872167\pi\) |
0.974409 | + | 0.224781i | \(0.0721667\pi\) | |||||||
\(20\) | 1.59016 | − | 4.17988i | 0.355570 | − | 0.934650i | ||||
\(21\) | 0.330009 | + | 2.53519i | 0.0720140 | + | 0.553224i | ||||
\(22\) | 0.871184 | − | 0.951213i | 0.185737 | − | 0.202799i | ||||
\(23\) | −2.16707 | + | 2.98271i | −0.451865 | + | 0.621938i | −0.972797 | − | 0.231660i | \(-0.925584\pi\) |
0.520932 | + | 0.853598i | \(0.325584\pi\) | |||||||
\(24\) | 1.02190 | − | 4.79121i | 0.208594 | − | 0.978002i | ||||
\(25\) | −4.81311 | − | 1.35423i | −0.962622 | − | 0.270847i | ||||
\(26\) | −6.60524 | + | 3.73927i | −1.29540 | + | 0.733332i | ||||
\(27\) | −1.96749 | − | 4.80926i | −0.378644 | − | 0.925542i | ||||
\(28\) | 2.87676 | + | 0.662620i | 0.543656 | + | 0.125223i | ||||
\(29\) | −0.203775 | − | 0.627154i | −0.0378400 | − | 0.116460i | 0.930352 | − | 0.366667i | \(-0.119501\pi\) |
−0.968192 | + | 0.250207i | \(0.919501\pi\) | |||||||
\(30\) | −5.43725 | − | 0.660510i | −0.992702 | − | 0.120592i | ||||
\(31\) | 3.25079 | + | 1.05624i | 0.583859 | + | 0.189707i | 0.586028 | − | 0.810290i | \(-0.300691\pi\) |
−0.00216978 | + | 0.999998i | \(0.500691\pi\) | |||||||
\(32\) | −4.77478 | − | 3.03339i | −0.844070 | − | 0.536233i | ||||
\(33\) | −1.38722 | − | 0.755819i | −0.241485 | − | 0.131571i | ||||
\(34\) | −4.14588 | + | 9.10341i | −0.711013 | + | 1.56122i | ||||
\(35\) | 0.451205 | − | 3.26954i | 0.0762676 | − | 0.552654i | ||||
\(36\) | −5.99683 | + | 0.194966i | −0.999472 | + | 0.0324943i | ||||
\(37\) | 4.66999 | − | 3.39294i | 0.767741 | − | 0.557796i | −0.133534 | − | 0.991044i | \(-0.542632\pi\) |
0.901275 | + | 0.433248i | \(0.142632\pi\) | |||||||
\(38\) | −0.446240 | + | 0.979842i | −0.0723898 | + | 0.158951i | ||||
\(39\) | 6.38917 | + | 6.75245i | 1.02309 | + | 1.08126i | ||||
\(40\) | −2.90211 | + | 5.61941i | −0.458865 | + | 0.888506i | ||||
\(41\) | 3.62063 | + | 4.98337i | 0.565448 | + | 0.778272i | 0.992006 | − | 0.126188i | \(-0.0402743\pi\) |
−0.426559 | + | 0.904460i | \(0.640274\pi\) | |||||||
\(42\) | −0.0587502 | − | 3.61507i | −0.00906535 | − | 0.557818i | ||||
\(43\) | − | 3.92012i | − | 0.597813i | −0.954282 | − | 0.298906i | \(-0.903378\pi\) | ||
0.954282 | − | 0.298906i | \(-0.0966219\pi\) | |||||||
\(44\) | −1.37610 | + | 1.19745i | −0.207455 | + | 0.180522i | ||||
\(45\) | 0.814713 | + | 6.65855i | 0.121450 | + | 0.992598i | ||||
\(46\) | 3.52153 | − | 3.84503i | 0.519222 | − | 0.566919i | ||||
\(47\) | 4.90302 | − | 1.59309i | 0.715179 | − | 0.232376i | 0.0712471 | − | 0.997459i | \(-0.477302\pi\) |
0.643932 | + | 0.765083i | \(0.277302\pi\) | |||||||
\(48\) | −2.20127 | + | 6.56920i | −0.317726 | + | 0.948182i | ||||
\(49\) | −4.82130 | −0.688757 | ||||||||
\(50\) | 6.54689 | + | 2.67176i | 0.925869 | + | 0.377844i | ||||
\(51\) | 12.0427 | + | 2.25013i | 1.68632 | + | 0.315082i | ||||
\(52\) | 9.87875 | − | 4.19918i | 1.36994 | − | 0.582321i | ||||
\(53\) | 8.05205 | − | 2.61627i | 1.10603 | − | 0.359372i | 0.301612 | − | 0.953431i | \(-0.402475\pi\) |
0.804422 | + | 0.594058i | \(0.202475\pi\) | |||||||
\(54\) | 1.99642 | + | 7.07208i | 0.271679 | + | 0.962388i | ||||
\(55\) | 1.47059 | + | 1.41307i | 0.198295 | + | 0.190539i | ||||
\(56\) | −3.93647 | − | 1.39062i | −0.526033 | − | 0.185829i | ||||
\(57\) | 1.29622 | + | 0.242192i | 0.171688 | + | 0.0320791i | ||||
\(58\) | 0.186156 | + | 0.913805i | 0.0244435 | + | 0.119988i | ||||
\(59\) | 8.77096 | + | 12.0722i | 1.14188 | + | 1.57166i | 0.763232 | + | 0.646125i | \(0.223611\pi\) |
0.378650 | + | 0.925540i | \(0.376389\pi\) | |||||||
\(60\) | 7.53472 | + | 1.79666i | 0.972728 | + | 0.231948i | ||||
\(61\) | 1.97170 | − | 2.71382i | 0.252451 | − | 0.347468i | −0.663917 | − | 0.747806i | \(-0.731107\pi\) |
0.916368 | + | 0.400338i | \(0.131107\pi\) | |||||||
\(62\) | −4.39916 | − | 2.00347i | −0.558694 | − | 0.254441i | ||||
\(63\) | −4.28056 | + | 1.13362i | −0.539300 | + | 0.142823i | ||||
\(64\) | 6.22480 | + | 5.02512i | 0.778100 | + | 0.628141i | ||||
\(65\) | −5.66058 | − | 10.5824i | −0.702109 | − | 1.31258i | ||||
\(66\) | 1.82854 | + | 1.28364i | 0.225078 | + | 0.158005i | ||||
\(67\) | 4.51522 | + | 1.46708i | 0.551621 | + | 0.179233i | 0.571548 | − | 0.820569i | \(-0.306343\pi\) |
−0.0199263 | + | 0.999801i | \(0.506343\pi\) | |||||||
\(68\) | 7.27981 | − | 12.1295i | 0.882806 | − | 1.47092i | ||||
\(69\) | −5.60749 | − | 3.05520i | −0.675063 | − | 0.367803i | ||||
\(70\) | −1.15629 | + | 4.52217i | −0.138203 | + | 0.540503i | ||||
\(71\) | −1.57843 | − | 4.85790i | −0.187325 | − | 0.576527i | 0.812656 | − | 0.582744i | \(-0.198021\pi\) |
−0.999981 | + | 0.00621731i | \(0.998021\pi\) | |||||||
\(72\) | 8.45767 | + | 0.683964i | 0.996746 | + | 0.0806060i | ||||
\(73\) | −7.05593 | + | 9.71166i | −0.825835 | + | 1.13666i | 0.162850 | + | 0.986651i | \(0.447931\pi\) |
−0.988684 | + | 0.150013i | \(0.952069\pi\) | |||||||
\(74\) | −7.10408 | + | 4.02166i | −0.825832 | + | 0.467509i | ||||
\(75\) | 1.24988 | − | 8.56959i | 0.144323 | − | 0.989531i | ||||
\(76\) | 0.783559 | − | 1.30556i | 0.0898804 | − | 0.149758i | ||||
\(77\) | −0.791314 | + | 1.08915i | −0.0901786 | + | 0.124120i | ||||
\(78\) | −7.89921 | − | 10.5089i | −0.894409 | − | 1.18990i | ||||
\(79\) | −4.20401 | + | 1.36596i | −0.472988 | + | 0.153683i | −0.535804 | − | 0.844342i | \(-0.679992\pi\) |
0.0628169 | + | 0.998025i | \(0.479992\pi\) | |||||||
\(80\) | 4.97558 | − | 7.43260i | 0.556287 | − | 0.830990i | ||||
\(81\) | 7.82031 | − | 4.45453i | 0.868923 | − | 0.494947i | ||||
\(82\) | −4.29154 | − | 7.58080i | −0.473922 | − | 0.837160i | ||||
\(83\) | 3.26583 | − | 10.0512i | 0.358471 | − | 1.10326i | −0.595498 | − | 0.803357i | \(-0.703045\pi\) |
0.953969 | − | 0.299904i | \(-0.0969548\pi\) | |||||||
\(84\) | −0.494912 | + | 5.08915i | −0.0539993 | + | 0.555272i | ||||
\(85\) | −14.2327 | − | 6.89793i | −1.54375 | − | 0.748186i | ||||
\(86\) | −0.626193 | + | 5.50841i | −0.0675241 | + | 0.593987i | ||||
\(87\) | 1.03162 | − | 0.490213i | 0.110601 | − | 0.0525564i | ||||
\(88\) | 2.12492 | − | 1.46280i | 0.226518 | − | 0.155934i | ||||
\(89\) | −4.83327 | + | 6.65243i | −0.512326 | + | 0.705156i | −0.984309 | − | 0.176451i | \(-0.943538\pi\) |
0.471983 | + | 0.881607i | \(0.343538\pi\) | |||||||
\(90\) | −0.0811801 | − | 9.48649i | −0.00855714 | − | 0.999963i | ||||
\(91\) | 6.40908 | − | 4.65647i | 0.671854 | − | 0.488131i | ||||
\(92\) | −5.56253 | + | 4.84037i | −0.579934 | + | 0.504644i | ||||
\(93\) | −1.08736 | + | 5.81958i | −0.112754 | + | 0.603462i | ||||
\(94\) | −7.14402 | + | 1.45535i | −0.736849 | + | 0.150108i | ||||
\(95\) | −1.53193 | − | 0.742456i | −0.157173 | − | 0.0761744i | ||||
\(96\) | 4.14250 | − | 8.87917i | 0.422792 | − | 0.906227i | ||||
\(97\) | −10.3792 | + | 3.37242i | −1.05385 | + | 0.342417i | −0.784179 | − | 0.620535i | \(-0.786916\pi\) |
−0.269673 | + | 0.962952i | \(0.586916\pi\) | |||||||
\(98\) | 6.77471 | + | 0.770146i | 0.684349 | + | 0.0777965i | ||||
\(99\) | 0.988013 | − | 2.55163i | 0.0992990 | − | 0.256448i | ||||
\(100\) | −8.77266 | − | 4.80004i | −0.877266 | − | 0.480004i | ||||
\(101\) | 14.9919 | 1.49175 | 0.745876 | − | 0.666085i | \(-0.232031\pi\) | ||||
0.745876 | + | 0.666085i | \(0.232031\pi\) | |||||||
\(102\) | −16.5626 | − | 5.08549i | −1.63994 | − | 0.503539i | ||||
\(103\) | 4.11031 | + | 12.6502i | 0.405001 | + | 1.24647i | 0.920894 | + | 0.389813i | \(0.127460\pi\) |
−0.515893 | + | 0.856653i | \(0.672540\pi\) | |||||||
\(104\) | −14.5520 | + | 4.32252i | −1.42694 | + | 0.423858i | ||||
\(105\) | 5.71652 | + | 0.0439768i | 0.557875 | + | 0.00429170i | ||||
\(106\) | −11.7324 | + | 2.39007i | −1.13955 | + | 0.232144i | ||||
\(107\) | −1.46271 | −0.141405 | −0.0707027 | − | 0.997497i | \(-0.522524\pi\) | ||||
−0.0707027 | + | 0.997497i | \(0.522524\pi\) | |||||||
\(108\) | −1.67562 | − | 10.2563i | −0.161237 | − | 0.986916i | ||||
\(109\) | −5.78662 | − | 7.96460i | −0.554258 | − | 0.762870i | 0.436325 | − | 0.899789i | \(-0.356280\pi\) |
−0.990582 | + | 0.136919i | \(0.956280\pi\) | |||||||
\(110\) | −1.84070 | − | 2.22051i | −0.175504 | − | 0.211717i | ||||
\(111\) | 6.87169 | + | 7.26240i | 0.652232 | + | 0.689316i | ||||
\(112\) | 5.30925 | + | 2.58285i | 0.501677 | + | 0.244056i | ||||
\(113\) | 2.63426 | − | 1.91390i | 0.247810 | − | 0.180045i | −0.456945 | − | 0.889495i | \(-0.651057\pi\) |
0.704756 | + | 0.709450i | \(0.251057\pi\) | |||||||
\(114\) | −1.78271 | − | 0.547375i | −0.166966 | − | 0.0512663i | ||||
\(115\) | 5.94449 | + | 5.71199i | 0.554326 | + | 0.532645i | ||||
\(116\) | −0.115611 | − | 1.31378i | −0.0107342 | − | 0.121982i | ||||
\(117\) | −10.1693 | + | 12.4835i | −0.940149 | + | 1.15410i | ||||
\(118\) | −10.3962 | − | 18.3645i | −0.957051 | − | 1.69058i | ||||
\(119\) | 3.22625 | − | 9.92936i | 0.295749 | − | 0.910223i | ||||
\(120\) | −10.3005 | − | 3.72819i | −0.940304 | − | 0.340335i | ||||
\(121\) | 3.14212 | + | 9.67045i | 0.285647 | + | 0.879132i | ||||
\(122\) | −3.20406 | + | 3.49840i | −0.290082 | + | 0.316730i | ||||
\(123\) | −7.74975 | + | 7.33282i | −0.698771 | + | 0.661178i | ||||
\(124\) | 5.86151 | + | 3.51792i | 0.526379 | + | 0.315918i | ||||
\(125\) | −4.47103 | + | 10.2474i | −0.399901 | + | 0.916558i | ||||
\(126\) | 6.19597 | − | 0.909155i | 0.551981 | − | 0.0809940i | ||||
\(127\) | −5.12347 | − | 3.72242i | −0.454635 | − | 0.330311i | 0.336788 | − | 0.941580i | \(-0.390659\pi\) |
−0.791423 | + | 0.611269i | \(0.790659\pi\) | |||||||
\(128\) | −7.94415 | − | 8.05546i | −0.702171 | − | 0.712009i | ||||
\(129\) | 6.73304 | − | 0.876450i | 0.592811 | − | 0.0771671i | ||||
\(130\) | 6.26364 | + | 15.7742i | 0.549357 | + | 1.38348i | ||||
\(131\) | 2.23994 | + | 0.727801i | 0.195705 | + | 0.0635883i | 0.405229 | − | 0.914215i | \(-0.367192\pi\) |
−0.209525 | + | 0.977803i | \(0.567192\pi\) | |||||||
\(132\) | −2.36436 | − | 2.09581i | −0.205791 | − | 0.182417i | ||||
\(133\) | 0.347256 | − | 1.06874i | 0.0301109 | − | 0.0926718i | ||||
\(134\) | −6.11027 | − | 2.78274i | −0.527847 | − | 0.240392i | ||||
\(135\) | −11.2543 | + | 2.88802i | −0.968616 | + | 0.248561i | ||||
\(136\) | −12.1669 | + | 15.8811i | −1.04330 | + | 1.36179i | ||||
\(137\) | −8.01641 | + | 5.82426i | −0.684888 | + | 0.497600i | −0.874976 | − | 0.484167i | \(-0.839123\pi\) |
0.190088 | + | 0.981767i | \(0.439123\pi\) | |||||||
\(138\) | 7.39141 | + | 5.18879i | 0.629199 | + | 0.441699i | ||||
\(139\) | −10.4708 | − | 7.60751i | −0.888125 | − | 0.645261i | 0.0472634 | − | 0.998882i | \(-0.484950\pi\) |
−0.935388 | + | 0.353622i | \(0.884950\pi\) | |||||||
\(140\) | 2.34714 | − | 6.16968i | 0.198369 | − | 0.521433i | ||||
\(141\) | 3.83243 | + | 8.06505i | 0.322749 | + | 0.679200i | ||||
\(142\) | 1.44196 | + | 7.07828i | 0.121006 | + | 0.593996i | ||||
\(143\) | 4.89520i | 0.409358i | ||||||||
\(144\) | −11.7752 | − | 2.31209i | −0.981263 | − | 0.192675i | ||||
\(145\) | −1.45149 | + | 0.259664i | −0.120539 | + | 0.0215639i | ||||
\(146\) | 11.4661 | − | 12.5194i | 0.948938 | − | 1.03611i | ||||
\(147\) | −1.07793 | − | 8.28087i | −0.0889064 | − | 0.682995i | ||||
\(148\) | 10.6248 | − | 4.51630i | 0.873353 | − | 0.371238i | ||||
\(149\) | −15.4441 | −1.26523 | −0.632613 | − | 0.774468i | \(-0.718018\pi\) | ||||
−0.632613 | + | 0.774468i | \(0.718018\pi\) | |||||||
\(150\) | −3.12517 | + | 11.8420i | −0.255169 | + | 0.966896i | ||||
\(151\) | − | 20.8534i | − | 1.69702i | −0.529178 | − | 0.848511i | \(-0.677500\pi\) | ||
0.529178 | − | 0.848511i | \(-0.322500\pi\) | |||||||
\(152\) | −1.30958 | + | 1.70936i | −0.106221 | + | 0.138647i | ||||
\(153\) | −1.17226 | + | 21.1872i | −0.0947713 | + | 1.71288i | ||||
\(154\) | 1.28590 | − | 1.40403i | 0.103621 | − | 0.113140i | ||||
\(155\) | 3.33338 | − | 6.87786i | 0.267744 | − | 0.552443i | ||||
\(156\) | 9.42101 | + | 16.0285i | 0.754284 | + | 1.28331i | ||||
\(157\) | 14.1024 | 1.12549 | 0.562747 | − | 0.826629i | \(-0.309745\pi\) | ||||
0.562747 | + | 0.826629i | \(0.309745\pi\) | |||||||
\(158\) | 6.12551 | − | 1.24786i | 0.487319 | − | 0.0992746i | ||||
\(159\) | 6.29386 | + | 13.2449i | 0.499135 | + | 1.05039i | ||||
\(160\) | −8.17877 | + | 9.64923i | −0.646589 | + | 0.762839i | ||||
\(161\) | −3.19868 | + | 4.40261i | −0.252091 | + | 0.346974i | ||||
\(162\) | −11.7004 | + | 5.01013i | −0.919268 | + | 0.393633i | ||||
\(163\) | −11.3005 | − | 15.5538i | −0.885122 | − | 1.21827i | −0.974976 | − | 0.222311i | \(-0.928640\pi\) |
0.0898540 | − | 0.995955i | \(-0.471360\pi\) | |||||||
\(164\) | 4.81937 | + | 11.3378i | 0.376330 | + | 0.885333i | ||||
\(165\) | −2.09825 | + | 2.84176i | −0.163349 | + | 0.221231i | ||||
\(166\) | −6.19458 | + | 13.6019i | −0.480793 | + | 1.05571i | ||||
\(167\) | −1.56206 | − | 0.507544i | −0.120876 | − | 0.0392749i | 0.247954 | − | 0.968772i | \(-0.420242\pi\) |
−0.368830 | + | 0.929497i | \(0.620242\pi\) | |||||||
\(168\) | 1.50836 | − | 7.07203i | 0.116373 | − | 0.545619i | ||||
\(169\) | 4.88423 | − | 15.0321i | 0.375710 | − | 1.15632i | ||||
\(170\) | 18.8974 | + | 11.9662i | 1.44936 | + | 0.917768i | ||||
\(171\) | −0.126175 | + | 2.28048i | −0.00964887 | + | 0.174392i | ||||
\(172\) | 1.75981 | − | 7.64019i | 0.134184 | − | 0.582559i | ||||
\(173\) | −0.170155 | + | 0.234199i | −0.0129367 | + | 0.0178058i | −0.815436 | − | 0.578847i | \(-0.803503\pi\) |
0.802500 | + | 0.596653i | \(0.203503\pi\) | |||||||
\(174\) | −1.52789 | + | 0.524041i | −0.115829 | + | 0.0397274i | ||||
\(175\) | −7.10436 | − | 1.99891i | −0.537039 | − | 0.151103i | ||||
\(176\) | −3.21953 | + | 1.71603i | −0.242681 | + | 0.129351i | ||||
\(177\) | −18.7737 | + | 17.7637i | −1.41112 | + | 1.33520i | ||||
\(178\) | 7.85418 | − | 8.57569i | 0.588696 | − | 0.642775i | ||||
\(179\) | −20.5092 | + | 6.66383i | −1.53293 | + | 0.498078i | −0.949415 | − | 0.314026i | \(-0.898322\pi\) |
−0.583513 | + | 0.812104i | \(0.698322\pi\) | |||||||
\(180\) | −1.40128 | + | 13.3430i | −0.104445 | + | 0.994531i | ||||
\(181\) | −17.3582 | − | 5.64002i | −1.29022 | − | 0.419219i | −0.418054 | − | 0.908422i | \(-0.637288\pi\) |
−0.872170 | + | 0.489203i | \(0.837288\pi\) | |||||||
\(182\) | −9.74962 | + | 5.51933i | −0.722690 | + | 0.409120i | ||||
\(183\) | 5.10197 | + | 2.77977i | 0.377148 | + | 0.205486i | ||||
\(184\) | 8.58945 | − | 5.91297i | 0.633223 | − | 0.435910i | ||||
\(185\) | −6.08807 | − | 11.3815i | −0.447604 | − | 0.836788i | ||||
\(186\) | 2.45753 | − | 8.00376i | 0.180195 | − | 0.586864i | ||||
\(187\) | 3.79198 | + | 5.21922i | 0.277297 | + | 0.381667i | ||||
\(188\) | 10.2710 | − | 0.903829i | 0.749089 | − | 0.0659185i | ||||
\(189\) | −2.90410 | − | 7.09867i | −0.211242 | − | 0.516352i | ||||
\(190\) | 2.03401 | + | 1.28798i | 0.147563 | + | 0.0934399i | ||||
\(191\) | −21.2619 | + | 15.4476i | −1.53845 | + | 1.11775i | −0.587158 | + | 0.809473i | \(0.699753\pi\) |
−0.951296 | + | 0.308279i | \(0.900247\pi\) | |||||||
\(192\) | −7.23923 | + | 11.8150i | −0.522447 | + | 0.852672i | ||||
\(193\) | − | 6.87149i | − | 0.494620i | −0.968936 | − | 0.247310i | \(-0.920453\pi\) | ||
0.968936 | − | 0.247310i | \(-0.0795467\pi\) | |||||||
\(194\) | 15.1232 | − | 3.08084i | 1.08578 | − | 0.221191i | ||||
\(195\) | 16.9103 | − | 12.0884i | 1.21097 | − | 0.865666i | ||||
\(196\) | −9.39655 | − | 2.16436i | −0.671182 | − | 0.154597i | ||||
\(197\) | −15.0091 | + | 4.87675i | −1.06935 | + | 0.347454i | −0.790235 | − | 0.612803i | \(-0.790042\pi\) |
−0.279117 | + | 0.960257i | \(0.590042\pi\) | |||||||
\(198\) | −1.79591 | + | 3.42763i | −0.127630 | + | 0.243591i | ||||
\(199\) | 7.62921i | 0.540821i | 0.962745 | + | 0.270410i | \(0.0871594\pi\) | ||||
−0.962745 | + | 0.270410i | \(0.912841\pi\) | |||||||
\(200\) | 11.5603 | + | 8.14618i | 0.817434 | + | 0.576022i | ||||
\(201\) | −1.51030 | + | 8.08316i | −0.106529 | + | 0.570142i | ||||
\(202\) | −21.0661 | − | 2.39478i | −1.48220 | − | 0.168496i | ||||
\(203\) | −0.300780 | − | 0.925707i | −0.0211106 | − | 0.0649719i | ||||
\(204\) | 22.4608 | + | 9.79162i | 1.57257 | + | 0.685551i | ||||
\(205\) | 12.1453 | − | 6.49662i | 0.848266 | − | 0.453744i | ||||
\(206\) | −3.75493 | − | 18.4322i | −0.261619 | − | 1.28423i | ||||
\(207\) | 3.99378 | − | 10.3143i | 0.277587 | − | 0.716892i | ||||
\(208\) | 21.1384 | − | 3.74933i | 1.46569 | − | 0.259969i | ||||
\(209\) | 0.408149 | + | 0.561768i | 0.0282322 | + | 0.0388583i | ||||
\(210\) | −8.02562 | − | 0.974941i | −0.553820 | − | 0.0672773i | ||||
\(211\) | 14.9820 | + | 10.8851i | 1.03141 | + | 0.749361i | 0.968590 | − | 0.248665i | \(-0.0799917\pi\) |
0.0628166 | + | 0.998025i | \(0.479992\pi\) | |||||||
\(212\) | 16.8677 | − | 1.48433i | 1.15848 | − | 0.101944i | ||||
\(213\) | 7.99084 | − | 3.79716i | 0.547523 | − | 0.260177i | ||||
\(214\) | 2.05535 | + | 0.233651i | 0.140501 | + | 0.0159720i | ||||
\(215\) | −8.68336 | − | 1.19833i | −0.592200 | − | 0.0817252i | ||||
\(216\) | 0.716193 | + | 14.6795i | 0.0487308 | + | 0.998812i | ||||
\(217\) | 4.79830 | + | 1.55906i | 0.325730 | + | 0.105836i | ||||
\(218\) | 6.85890 | + | 12.1159i | 0.464543 | + | 0.820593i | ||||
\(219\) | −18.2579 | − | 9.94768i | −1.23375 | − | 0.672202i | ||||
\(220\) | 2.23178 | + | 3.41421i | 0.150467 | + | 0.230186i | ||||
\(221\) | −11.7311 | − | 36.1045i | −0.789118 | − | 2.42865i | ||||
\(222\) | −8.49576 | − | 11.3025i | −0.570198 | − | 0.758576i | ||||
\(223\) | −7.18669 | − | 5.22144i | −0.481256 | − | 0.349653i | 0.320555 | − | 0.947230i | \(-0.396130\pi\) |
−0.801812 | + | 0.597576i | \(0.796130\pi\) | |||||||
\(224\) | −7.04778 | − | 4.47741i | −0.470900 | − | 0.299160i | ||||
\(225\) | 14.9982 | + | 0.230774i | 0.999882 | + | 0.0153850i | ||||
\(226\) | −4.00729 | + | 2.26855i | −0.266561 | + | 0.150902i | ||||
\(227\) | 10.8630 | + | 7.89245i | 0.721004 | + | 0.523840i | 0.886705 | − | 0.462336i | \(-0.152989\pi\) |
−0.165701 | + | 0.986176i | \(0.552989\pi\) | |||||||
\(228\) | 2.41756 | + | 1.05392i | 0.160107 | + | 0.0697974i | ||||
\(229\) | −4.70267 | + | 1.52799i | −0.310761 | + | 0.100972i | −0.460246 | − | 0.887792i | \(-0.652239\pi\) |
0.149484 | + | 0.988764i | \(0.452239\pi\) | |||||||
\(230\) | −7.44055 | − | 8.97583i | −0.490615 | − | 0.591849i | ||||
\(231\) | −2.04760 | − | 1.11562i | −0.134722 | − | 0.0734024i | ||||
\(232\) | −0.0474095 | + | 1.86454i | −0.00311258 | + | 0.122413i | ||||
\(233\) | −1.18426 | + | 3.64477i | −0.0775832 | + | 0.238777i | −0.982325 | − | 0.187184i | \(-0.940064\pi\) |
0.904742 | + | 0.425961i | \(0.140064\pi\) | |||||||
\(234\) | 16.2836 | − | 15.9169i | 1.06449 | − | 1.04052i | ||||
\(235\) | −2.03002 | − | 11.3475i | −0.132424 | − | 0.740232i | ||||
\(236\) | 11.6749 | + | 27.4657i | 0.759972 | + | 1.78787i | ||||
\(237\) | −3.28605 | − | 6.91523i | −0.213452 | − | 0.449193i | ||||
\(238\) | −6.11950 | + | 13.4370i | −0.396668 | + | 0.870993i | ||||
\(239\) | 20.9577 | + | 15.2267i | 1.35564 | + | 0.984932i | 0.998709 | + | 0.0508026i | \(0.0161779\pi\) |
0.356934 | + | 0.934130i | \(0.383822\pi\) | |||||||
\(240\) | 13.8784 | + | 6.88410i | 0.895845 | + | 0.444366i | ||||
\(241\) | −6.95611 | + | 5.05391i | −0.448082 | + | 0.325551i | −0.788838 | − | 0.614601i | \(-0.789317\pi\) |
0.340756 | + | 0.940152i | \(0.389317\pi\) | |||||||
\(242\) | −2.87045 | − | 14.0905i | −0.184520 | − | 0.905770i | ||||
\(243\) | 9.39936 | + | 12.4359i | 0.602969 | + | 0.797764i | ||||
\(244\) | 5.06106 | − | 4.40401i | 0.324001 | − | 0.281938i | ||||
\(245\) | −1.47380 | + | 10.6795i | −0.0941578 | + | 0.682291i | ||||
\(246\) | 12.0610 | − | 9.06588i | 0.768981 | − | 0.578019i | ||||
\(247\) | −1.26267 | − | 3.88610i | −0.0803417 | − | 0.247266i | ||||
\(248\) | −7.67444 | − | 5.87956i | −0.487327 | − | 0.373352i | ||||
\(249\) | 17.9937 | + | 3.36204i | 1.14030 | + | 0.213061i | ||||
\(250\) | 7.91944 | − | 13.6851i | 0.500869 | − | 0.865523i | ||||
\(251\) | 11.6456i | 0.735067i | 0.930010 | + | 0.367533i | \(0.119798\pi\) | ||||
−0.930010 | + | 0.367533i | \(0.880202\pi\) | |||||||
\(252\) | −8.85158 | + | 0.287778i | −0.557597 | + | 0.0181283i | ||||
\(253\) | −1.03912 | − | 3.19809i | −0.0653292 | − | 0.201062i | ||||
\(254\) | 6.60470 | + | 6.04902i | 0.414416 | + | 0.379549i | ||||
\(255\) | 8.66551 | − | 25.9877i | 0.542655 | − | 1.62742i | ||||
\(256\) | 9.87607 | + | 12.5882i | 0.617254 | + | 0.786764i | ||||
\(257\) | −8.81024 | −0.549568 | −0.274784 | − | 0.961506i | \(-0.588606\pi\) | ||||
−0.274784 | + | 0.961506i | \(0.588606\pi\) | |||||||
\(258\) | −9.60103 | + | 0.156031i | −0.597734 | + | 0.00971405i | ||||
\(259\) | 6.89310 | − | 5.00813i | 0.428316 | − | 0.311190i | ||||
\(260\) | −6.28170 | − | 23.1658i | −0.389574 | − | 1.43668i | ||||
\(261\) | 1.07262 | + | 1.66226i | 0.0663933 | + | 0.102891i | ||||
\(262\) | −3.03122 | − | 1.38048i | −0.187270 | − | 0.0852865i | ||||
\(263\) | −7.17890 | − | 9.88090i | −0.442670 | − | 0.609283i | 0.528133 | − | 0.849162i | \(-0.322892\pi\) |
−0.970803 | + | 0.239879i | \(0.922892\pi\) | |||||||
\(264\) | 2.98752 | + | 3.32264i | 0.183869 | + | 0.204494i | ||||
\(265\) | −3.33383 | − | 18.6356i | −0.204796 | − | 1.14478i | ||||
\(266\) | −0.658670 | + | 1.44629i | −0.0403856 | + | 0.0886776i | ||||
\(267\) | −12.5066 | − | 6.81411i | −0.765389 | − | 0.417017i | ||||
\(268\) | 8.14141 | + | 4.88625i | 0.497316 | + | 0.298475i | ||||
\(269\) | 8.74298 | − | 26.9081i | 0.533069 | − | 1.64062i | −0.214717 | − | 0.976676i | \(-0.568883\pi\) |
0.747785 | − | 0.663941i | \(-0.231117\pi\) | |||||||
\(270\) | 16.2755 | − | 2.26039i | 0.990493 | − | 0.137563i | ||||
\(271\) | 22.5131 | − | 7.31496i | 1.36757 | − | 0.444352i | 0.469010 | − | 0.883193i | \(-0.344611\pi\) |
0.898565 | + | 0.438841i | \(0.144611\pi\) | |||||||
\(272\) | 19.6332 | − | 20.3720i | 1.19044 | − | 1.23524i | ||||
\(273\) | 9.43069 | + | 9.96690i | 0.570771 | + | 0.603224i | ||||
\(274\) | 12.1947 | − | 6.90351i | 0.736710 | − | 0.417056i | ||||
\(275\) | 3.57961 | − | 2.82551i | 0.215858 | − | 0.170385i | ||||
\(276\) | −9.55729 | − | 8.47178i | −0.575281 | − | 0.509941i | ||||
\(277\) | 10.1520 | + | 7.37585i | 0.609974 | + | 0.443172i | 0.849405 | − | 0.527742i | \(-0.176961\pi\) |
−0.239431 | + | 0.970913i | \(0.576961\pi\) | |||||||
\(278\) | 13.4980 | + | 12.3624i | 0.809558 | + | 0.741447i | ||||
\(279\) | −10.2386 | − | 0.566485i | −0.612968 | − | 0.0339146i | ||||
\(280\) | −4.28364 | + | 8.29448i | −0.255997 | + | 0.495690i | ||||
\(281\) | 15.5603 | + | 5.05586i | 0.928253 | + | 0.301608i | 0.733848 | − | 0.679314i | \(-0.237723\pi\) |
0.194405 | + | 0.980921i | \(0.437723\pi\) | |||||||
\(282\) | −4.09689 | − | 11.9449i | −0.243966 | − | 0.711308i | ||||
\(283\) | −8.52457 | − | 2.76980i | −0.506733 | − | 0.164647i | 0.0444830 | − | 0.999010i | \(-0.485836\pi\) |
−0.551216 | + | 0.834363i | \(0.685836\pi\) | |||||||
\(284\) | −0.895512 | − | 10.1765i | −0.0531389 | − | 0.603862i | ||||
\(285\) | 0.932708 | − | 2.79718i | 0.0552489 | − | 0.165691i | ||||
\(286\) | 0.781951 | − | 6.87856i | 0.0462377 | − | 0.406738i | ||||
\(287\) | 5.34421 | + | 7.35567i | 0.315458 | + | 0.434191i | ||||
\(288\) | 16.1767 | + | 5.12981i | 0.953220 | + | 0.302277i | ||||
\(289\) | −26.7220 | − | 19.4147i | −1.57188 | − | 1.14204i | ||||
\(290\) | 2.08105 | − | 0.133013i | 0.122204 | − | 0.00781079i | ||||
\(291\) | −8.11290 | − | 17.0730i | −0.475586 | − | 1.00084i | ||||
\(292\) | −18.1115 | + | 15.7602i | −1.05990 | + | 0.922295i | ||||
\(293\) | − | 20.6912i | − | 1.20879i | −0.796684 | − | 0.604396i | \(-0.793415\pi\) | ||
0.796684 | − | 0.604396i | \(-0.206585\pi\) | |||||||
\(294\) | 0.191900 | + | 11.8082i | 0.0111918 | + | 0.688666i | ||||
\(295\) | 29.4220 | − | 15.7380i | 1.71301 | − | 0.916303i | ||||
\(296\) | −15.6510 | + | 4.64896i | −0.909696 | + | 0.270215i | ||||
\(297\) | 4.60347 | + | 1.12649i | 0.267120 | + | 0.0653653i | ||||
\(298\) | 21.7014 | + | 2.46701i | 1.25713 | + | 0.142910i | ||||
\(299\) | 19.7876i | 1.14435i | ||||||||
\(300\) | 6.28300 | − | 16.1408i | 0.362749 | − | 0.931887i | ||||
\(301\) | − | 5.78626i | − | 0.333515i | ||||||
\(302\) | −3.33108 | + | 29.3024i | −0.191682 | + | 1.68616i | ||||
\(303\) | 3.35185 | + | 25.7495i | 0.192559 | + | 1.47927i | ||||
\(304\) | 2.11322 | − | 2.19273i | 0.121201 | − | 0.125762i | ||||
\(305\) | −5.40858 | − | 5.19704i | −0.309694 | − | 0.297582i | ||||
\(306\) | 5.03162 | − | 29.5842i | 0.287638 | − | 1.69122i | ||||
\(307\) | 24.2712i | 1.38523i | 0.721307 | + | 0.692615i | \(0.243542\pi\) | ||||
−0.721307 | + | 0.692615i | \(0.756458\pi\) | |||||||
\(308\) | −2.03118 | + | 1.76749i | −0.115737 | + | 0.100712i | ||||
\(309\) | −20.8086 | + | 9.88802i | −1.18376 | + | 0.562510i | ||||
\(310\) | −5.78260 | + | 9.13205i | −0.328430 | + | 0.518665i | ||||
\(311\) | 6.50145 | + | 4.72358i | 0.368664 | + | 0.267850i | 0.756657 | − | 0.653813i | \(-0.226832\pi\) |
−0.387993 | + | 0.921662i | \(0.626832\pi\) | |||||||
\(312\) | −10.6777 | − | 24.0276i | −0.604505 | − | 1.36029i | ||||
\(313\) | 0.190794 | + | 0.262606i | 0.0107843 | + | 0.0148434i | 0.814375 | − | 0.580339i | \(-0.197080\pi\) |
−0.803591 | + | 0.595182i | \(0.797080\pi\) | |||||||
\(314\) | −19.8162 | − | 2.25269i | −1.11829 | − | 0.127127i | ||||
\(315\) | 1.20255 | + | 9.82830i | 0.0677561 | + | 0.553762i | ||||
\(316\) | −8.80667 | + | 0.774972i | −0.495414 | + | 0.0435956i | ||||
\(317\) | 14.0729 | + | 4.57256i | 0.790412 | + | 0.256820i | 0.676279 | − | 0.736645i | \(-0.263591\pi\) |
0.114132 | + | 0.993466i | \(0.463591\pi\) | |||||||
\(318\) | −6.72817 | − | 19.6167i | −0.377297 | − | 1.10005i | ||||
\(319\) | 0.572013 | + | 0.185858i | 0.0320266 | + | 0.0104061i | ||||
\(320\) | 13.0339 | − | 12.2523i | 0.728615 | − | 0.684924i | ||||
\(321\) | −0.327029 | − | 2.51229i | −0.0182530 | − | 0.140222i | ||||
\(322\) | 5.19793 | − | 5.67543i | 0.289670 | − | 0.316279i | ||||
\(323\) | −4.35654 | − | 3.16521i | −0.242405 | − | 0.176117i | ||||
\(324\) | 17.2412 | − | 5.17106i | 0.957846 | − | 0.287281i | ||||
\(325\) | −25.1711 | + | 9.30374i | −1.39624 | + | 0.516079i | ||||
\(326\) | 13.3945 | + | 23.6607i | 0.741852 | + | 1.31045i | ||||
\(327\) | 12.3859 | − | 11.7196i | 0.684943 | − | 0.648094i | ||||
\(328\) | −4.96093 | − | 16.7013i | −0.273922 | − | 0.922174i | ||||
\(329\) | 7.23706 | − | 2.35146i | 0.398992 | − | 0.129640i | ||||
\(330\) | 3.40232 | − | 3.65797i | 0.187292 | − | 0.201365i | ||||
\(331\) | −10.1271 | + | 31.1680i | −0.556636 | + | 1.71315i | 0.134946 | + | 0.990853i | \(0.456914\pi\) |
−0.691582 | + | 0.722298i | \(0.743086\pi\) | |||||||
\(332\) | 10.8771 | − | 18.1234i | 0.596960 | − | 0.994648i | ||||
\(333\) | −10.9373 | + | 13.4262i | −0.599358 | + | 0.735754i | ||||
\(334\) | 2.11387 | + | 0.962703i | 0.115666 | + | 0.0526768i | ||||
\(335\) | 4.62994 | − | 9.55307i | 0.252960 | − | 0.521940i | ||||
\(336\) | −3.24917 | + | 9.69642i | −0.177257 | + | 0.528983i | ||||
\(337\) | 19.0186 | + | 26.1769i | 1.03601 | + | 1.42595i | 0.900338 | + | 0.435191i | \(0.143319\pi\) |
0.135672 | + | 0.990754i | \(0.456681\pi\) | |||||||
\(338\) | −9.26435 | + | 20.3424i | −0.503914 | + | 1.10648i | ||||
\(339\) | 3.87620 | + | 4.09660i | 0.210527 | + | 0.222497i | ||||
\(340\) | −24.6425 | − | 19.8331i | −1.33643 | − | 1.07560i | ||||
\(341\) | −2.52215 | + | 1.83245i | −0.136582 | + | 0.0992328i | ||||
\(342\) | 0.541576 | − | 3.18429i | 0.0292851 | − | 0.172186i | ||||
\(343\) | −17.4487 | −0.942143 | ||||||||
\(344\) | −3.69325 | + | 10.4546i | −0.199127 | + | 0.563674i | ||||
\(345\) | −8.48163 | + | 11.4871i | −0.456636 | + | 0.618444i | ||||
\(346\) | 0.276506 | − | 0.301907i | 0.0148651 | − | 0.0162306i | ||||
\(347\) | 6.39849 | + | 19.6925i | 0.343489 | + | 1.05715i | 0.962388 | + | 0.271679i | \(0.0875791\pi\) |
−0.618899 | + | 0.785471i | \(0.712421\pi\) | |||||||
\(348\) | 2.23065 | − | 0.492300i | 0.119575 | − | 0.0263900i | ||||
\(349\) | 25.2430i | 1.35122i | 0.737257 | + | 0.675612i | \(0.236121\pi\) | ||||
−0.737257 | + | 0.675612i | \(0.763879\pi\) | |||||||
\(350\) | 9.66348 | + | 3.94363i | 0.516535 | + | 0.210796i | ||||
\(351\) | −23.7148 | − | 14.6753i | −1.26580 | − | 0.783310i | ||||
\(352\) | 4.79808 | − | 1.89703i | 0.255739 | − | 0.101112i | ||||
\(353\) | −8.72990 | − | 26.8679i | −0.464646 | − | 1.43003i | −0.859427 | − | 0.511258i | \(-0.829180\pi\) |
0.394781 | − | 0.918775i | \(-0.370820\pi\) | |||||||
\(354\) | 29.2177 | − | 21.9620i | 1.55290 | − | 1.16727i | ||||
\(355\) | −11.2431 | + | 2.01134i | −0.596723 | + | 0.106751i | ||||
\(356\) | −12.4063 | + | 10.7956i | −0.657531 | + | 0.572167i | ||||
\(357\) | 17.7756 | + | 3.32129i | 0.940784 | + | 0.175781i | ||||
\(358\) | 29.8832 | − | 6.08768i | 1.57938 | − | 0.321744i | ||||
\(359\) | −14.3910 | + | 10.4557i | −0.759529 | + | 0.551830i | −0.898766 | − | 0.438429i | \(-0.855535\pi\) |
0.139237 | + | 0.990259i | \(0.455535\pi\) | |||||||
\(360\) | 4.10042 | − | 18.5253i | 0.216111 | − | 0.976369i | ||||
\(361\) | 14.9024 | + | 10.8272i | 0.784337 | + | 0.569854i | ||||
\(362\) | 23.4902 | + | 10.6979i | 1.23462 | + | 0.562270i | ||||
\(363\) | −15.9071 | + | 7.55887i | −0.834905 | + | 0.396738i | ||||
\(364\) | 14.5815 | − | 6.19817i | 0.764276 | − | 0.324872i | ||||
\(365\) | 19.3552 | + | 18.5981i | 1.01309 | + | 0.973471i | ||||
\(366\) | −6.72506 | − | 4.72101i | −0.351525 | − | 0.246771i | ||||
\(367\) | −1.72278 | + | 5.30217i | −0.0899284 | + | 0.276771i | −0.985899 | − | 0.167343i | \(-0.946481\pi\) |
0.895970 | + | 0.444114i | \(0.146481\pi\) | |||||||
\(368\) | −13.0141 | + | 6.93662i | −0.678408 | + | 0.361596i | ||||
\(369\) | −14.3272 | − | 11.6712i | −0.745846 | − | 0.607579i | ||||
\(370\) | 6.73667 | + | 16.9654i | 0.350223 | + | 0.881990i | ||||
\(371\) | 11.8852 | − | 3.86172i | 0.617047 | − | 0.200491i | ||||
\(372\) | −4.73174 | + | 10.8540i | −0.245329 | + | 0.562755i | ||||
\(373\) | 24.0659 | + | 17.4849i | 1.24609 | + | 0.905335i | 0.997988 | − | 0.0633995i | \(-0.0201942\pi\) |
0.248099 | + | 0.968735i | \(0.420194\pi\) | |||||||
\(374\) | −4.49465 | − | 7.93958i | −0.232413 | − | 0.410546i | ||||
\(375\) | −18.6002 | − | 5.38817i | −0.960510 | − | 0.278244i | ||||
\(376\) | −14.5768 | − | 0.370642i | −0.751740 | − | 0.0191144i | ||||
\(377\) | −2.86329 | − | 2.08030i | −0.147467 | − | 0.107141i | ||||
\(378\) | 2.94681 | + | 10.4387i | 0.151567 | + | 0.536908i | ||||
\(379\) | −6.37438 | − | 19.6183i | −0.327430 | − | 1.00773i | −0.970332 | − | 0.241777i | \(-0.922270\pi\) |
0.642902 | − | 0.765948i | \(-0.277730\pi\) | |||||||
\(380\) | −2.65238 | − | 2.13473i | −0.136064 | − | 0.109509i | ||||
\(381\) | 5.24799 | − | 9.63212i | 0.268863 | − | 0.493469i | ||||
\(382\) | 32.3440 | − | 18.3101i | 1.65486 | − | 0.936827i | ||||
\(383\) | −33.9753 | − | 11.0392i | −1.73606 | − | 0.564079i | −0.741753 | − | 0.670674i | \(-0.766005\pi\) |
−0.994303 | + | 0.106595i | \(0.966005\pi\) | |||||||
\(384\) | 12.0596 | − | 15.4456i | 0.615414 | − | 0.788204i | ||||
\(385\) | 2.17066 | + | 2.08576i | 0.110627 | + | 0.106300i | ||||
\(386\) | −1.09764 | + | 9.65556i | −0.0558683 | + | 0.491455i | ||||
\(387\) | 3.01071 | + | 11.3685i | 0.153043 | + | 0.577891i | ||||
\(388\) | −21.7427 | + | 1.91332i | −1.10382 | + | 0.0971343i | ||||
\(389\) | 10.1156 | + | 7.34945i | 0.512884 | + | 0.372632i | 0.813916 | − | 0.580982i | \(-0.197331\pi\) |
−0.301033 | + | 0.953614i | \(0.597331\pi\) | |||||||
\(390\) | −25.6927 | + | 14.2849i | −1.30100 | + | 0.723345i | ||||
\(391\) | 15.3281 | + | 21.0973i | 0.775176 | + | 1.06694i | ||||
\(392\) | 12.8580 | + | 4.54227i | 0.649425 | + | 0.229419i | ||||
\(393\) | −0.749242 | + | 4.00995i | −0.0377943 | + | 0.202275i | ||||
\(394\) | 21.8692 | − | 4.45510i | 1.10175 | − | 0.224445i | ||||
\(395\) | 1.74061 | + | 9.72974i | 0.0875795 | + | 0.489556i | ||||
\(396\) | 3.07107 | − | 4.52950i | 0.154327 | − | 0.227616i | ||||
\(397\) | −5.65857 | − | 17.4153i | −0.283995 | − | 0.874048i | −0.986698 | − | 0.162564i | \(-0.948024\pi\) |
0.702703 | − | 0.711484i | \(-0.251976\pi\) | |||||||
\(398\) | 1.21868 | − | 10.7203i | 0.0610868 | − | 0.537360i | ||||
\(399\) | 1.91327 | + | 0.357486i | 0.0957832 | + | 0.0178967i | ||||
\(400\) | −14.9428 | − | 13.2933i | −0.747141 | − | 0.664666i | ||||
\(401\) | − | 35.1271i | − | 1.75416i | −0.480341 | − | 0.877082i | \(-0.659487\pi\) | ||
0.480341 | − | 0.877082i | \(-0.340513\pi\) | |||||||
\(402\) | 3.41341 | − | 11.1169i | 0.170246 | − | 0.554461i | ||||
\(403\) | 17.4473 | − | 5.66897i | 0.869111 | − | 0.282391i | ||||
\(404\) | 29.2188 | + | 6.73012i | 1.45369 | + | 0.334836i | ||||
\(405\) | −7.47655 | − | 18.6842i | −0.371513 | − | 0.928428i | ||||
\(406\) | 0.274775 | + | 1.34881i | 0.0136368 | + | 0.0669406i | ||||
\(407\) | 5.26489i | 0.260971i | ||||||||
\(408\) | −29.9970 | − | 17.3467i | −1.48507 | − | 0.858788i | ||||
\(409\) | −1.41903 | + | 1.03098i | −0.0701664 | + | 0.0509788i | −0.622315 | − | 0.782767i | \(-0.713808\pi\) |
0.552149 | + | 0.833745i | \(0.313808\pi\) | |||||||
\(410\) | −18.1039 | + | 7.18874i | −0.894088 | + | 0.355027i | ||||
\(411\) | −11.7958 | − | 12.4665i | −0.581844 | − | 0.614927i | ||||
\(412\) | 2.33196 | + | 26.5001i | 0.114888 | + | 1.30557i | ||||
\(413\) | 12.9463 | + | 17.8191i | 0.637046 | + | 0.876819i | ||||
\(414\) | −7.25950 | + | 13.8553i | −0.356785 | + | 0.680950i | ||||
\(415\) | −21.2658 | − | 10.3066i | −1.04390 | − | 0.505929i | ||||
\(416\) | −30.3019 | + | 1.89180i | −1.48567 | + | 0.0927531i | ||||
\(417\) | 10.7253 | − | 19.6852i | 0.525221 | − | 0.963987i | ||||
\(418\) | −0.483779 | − | 0.854573i | −0.0236624 | − | 0.0417985i | ||||
\(419\) | 13.8809 | + | 4.51019i | 0.678128 | + | 0.220337i | 0.627776 | − | 0.778394i | \(-0.283966\pi\) |
0.0503524 | + | 0.998732i | \(0.483966\pi\) | |||||||
\(420\) | 11.1216 | + | 2.65195i | 0.542677 | + | 0.129402i | ||||
\(421\) | 0.257110 | − | 0.0835399i | 0.0125308 | − | 0.00407149i | −0.302745 | − | 0.953072i | \(-0.597903\pi\) |
0.315276 | + | 0.949000i | \(0.397903\pi\) | |||||||
\(422\) | −19.3134 | − | 17.6885i | −0.940164 | − | 0.861064i | ||||
\(423\) | −12.9954 | + | 8.38558i | −0.631856 | + | 0.407721i | ||||
\(424\) | −23.9389 | − | 0.608691i | −1.16258 | − | 0.0295607i | ||||
\(425\) | −19.6302 | + | 29.4179i | −0.952203 | + | 1.42698i | ||||
\(426\) | −11.8350 | + | 4.05919i | −0.573407 | + | 0.196668i | ||||
\(427\) | 2.91032 | − | 4.00571i | 0.140840 | − | 0.193850i | ||||
\(428\) | −2.85077 | − | 0.656634i | −0.137797 | − | 0.0317396i | ||||
\(429\) | −8.40781 | + | 1.09446i | −0.405933 | + | 0.0528408i | ||||
\(430\) | 12.0101 | + | 3.07091i | 0.579179 | + | 0.148092i | ||||
\(431\) | −3.90922 | + | 12.0313i | −0.188300 | + | 0.579529i | −0.999990 | − | 0.00456076i | \(-0.998548\pi\) |
0.811689 | + | 0.584089i | \(0.198548\pi\) | |||||||
\(432\) | 1.33851 | − | 20.7415i | 0.0643989 | − | 0.997924i | ||||
\(433\) | 18.1781 | + | 5.90641i | 0.873581 | + | 0.283844i | 0.711290 | − | 0.702899i | \(-0.248111\pi\) |
0.162292 | + | 0.986743i | \(0.448111\pi\) | |||||||
\(434\) | −6.49335 | − | 2.95721i | −0.311691 | − | 0.141951i | ||||
\(435\) | −0.770508 | − | 2.43496i | −0.0369430 | − | 0.116747i | ||||
\(436\) | −7.70249 | − | 18.1205i | −0.368883 | − | 0.867812i | ||||
\(437\) | 1.64983 | + | 2.27080i | 0.0789223 | + | 0.108627i | ||||
\(438\) | 24.0663 | + | 16.8946i | 1.14993 | + | 0.807256i | ||||
\(439\) | 11.9991 | − | 16.5153i | 0.572685 | − | 0.788233i | −0.420185 | − | 0.907439i | \(-0.638035\pi\) |
0.992870 | + | 0.119205i | \(0.0380347\pi\) | |||||||
\(440\) | −2.59064 | − | 5.15402i | −0.123504 | − | 0.245708i | ||||
\(441\) | 13.9819 | − | 3.70283i | 0.665804 | − | 0.176325i | ||||
\(442\) | 10.7168 | + | 52.6067i | 0.509746 | + | 2.50224i | ||||
\(443\) | 22.3281 | 1.06084 | 0.530419 | − | 0.847735i | \(-0.322034\pi\) | ||||
0.530419 | + | 0.847735i | \(0.322034\pi\) | |||||||
\(444\) | 10.1325 | + | 17.2390i | 0.480866 | + | 0.818126i | ||||
\(445\) | 13.2582 | + | 12.7396i | 0.628497 | + | 0.603916i | ||||
\(446\) | 9.26441 | + | 8.48496i | 0.438683 | + | 0.401775i | ||||
\(447\) | −3.45294 | − | 26.5261i | −0.163318 | − | 1.25464i | ||||
\(448\) | 9.18807 | + | 7.41730i | 0.434095 | + | 0.350434i | ||||
\(449\) | − | 15.2019i | − | 0.717421i | −0.933449 | − | 0.358710i | \(-0.883217\pi\) | ||
0.933449 | − | 0.358710i | \(-0.116783\pi\) | |||||||
\(450\) | −21.0381 | − | 2.72007i | −0.991745 | − | 0.128225i | ||||
\(451\) | −5.61820 | −0.264551 | ||||||||
\(452\) | 5.99327 | − | 2.54757i | 0.281900 | − | 0.119828i | ||||
\(453\) | 35.8169 | − | 4.66234i | 1.68282 | − | 0.219056i | ||||
\(454\) | −14.0036 | − | 12.8254i | −0.657221 | − | 0.601927i | ||||
\(455\) | −8.35526 | − | 15.6200i | −0.391701 | − | 0.732277i | ||||
\(456\) | −3.22871 | − | 1.86710i | −0.151198 | − | 0.0874350i | ||||
\(457\) | 19.5507i | 0.914543i | 0.889327 | + | 0.457272i | \(0.151173\pi\) | ||||
−0.889327 | + | 0.457272i | \(0.848827\pi\) | |||||||
\(458\) | 6.85210 | − | 1.39588i | 0.320177 | − | 0.0652252i | ||||
\(459\) | −36.6524 | + | 2.72356i | −1.71079 | + | 0.127125i | ||||
\(460\) | 9.02140 | + | 13.8011i | 0.420625 | + | 0.643477i | ||||
\(461\) | −1.21194 | − | 0.880524i | −0.0564456 | − | 0.0410101i | 0.559205 | − | 0.829030i | \(-0.311107\pi\) |
−0.615650 | + | 0.788020i | \(0.711107\pi\) | |||||||
\(462\) | 2.69901 | + | 1.89471i | 0.125569 | + | 0.0881499i | ||||
\(463\) | −1.78562 | + | 1.29733i | −0.0829849 | + | 0.0602920i | −0.628504 | − | 0.777806i | \(-0.716332\pi\) |
0.545519 | + | 0.838098i | \(0.316332\pi\) | |||||||
\(464\) | 0.364457 | − | 2.61242i | 0.0169195 | − | 0.121278i | ||||
\(465\) | 12.5584 | + | 4.18755i | 0.582382 | + | 0.194193i | ||||
\(466\) | 2.24628 | − | 4.93232i | 0.104057 | − | 0.228485i | ||||
\(467\) | −9.51741 | + | 29.2916i | −0.440413 | + | 1.35545i | 0.447024 | + | 0.894522i | \(0.352484\pi\) |
−0.887437 | + | 0.460930i | \(0.847516\pi\) | |||||||
\(468\) | −25.4236 | + | 19.7648i | −1.17521 | + | 0.913626i | ||||
\(469\) | 6.66465 | + | 2.16548i | 0.307745 | + | 0.0999924i | ||||
\(470\) | 1.03988 | + | 16.2694i | 0.0479660 | + | 0.750452i | ||||
\(471\) | 3.15297 | + | 24.2217i | 0.145281 | + | 1.11608i | ||||
\(472\) | −12.0178 | − | 40.4588i | −0.553165 | − | 1.86227i | ||||
\(473\) | 2.89260 | + | 2.10160i | 0.133002 | + | 0.0966316i | ||||
\(474\) | 3.51280 | + | 10.2419i | 0.161348 | + | 0.470428i | ||||
\(475\) | −2.11289 | + | 3.16638i | −0.0969458 | + | 0.145284i | ||||
\(476\) | 10.7453 | − | 17.9037i | 0.492510 | − | 0.820614i | ||||
\(477\) | −21.3418 | + | 13.7713i | −0.977175 | + | 0.630547i | ||||
\(478\) | −27.0167 | − | 24.7437i | −1.23572 | − | 1.13175i | ||||
\(479\) | 11.5108 | + | 35.4267i | 0.525943 | + | 1.61869i | 0.762443 | + | 0.647055i | \(0.224000\pi\) |
−0.236500 | + | 0.971631i | \(0.576000\pi\) | |||||||
\(480\) | −18.4017 | − | 11.8902i | −0.839920 | − | 0.542710i | ||||
\(481\) | 9.57370 | − | 29.4648i | 0.436523 | − | 1.34348i | ||||
\(482\) | 10.5818 | − | 5.99041i | 0.481986 | − | 0.272856i | ||||
\(483\) | −8.27690 | − | 4.50961i | −0.376612 | − | 0.205194i | ||||
\(484\) | 1.78266 | + | 20.2579i | 0.0810302 | + | 0.920816i | ||||
\(485\) | 4.29737 | + | 24.0217i | 0.195134 | + | 1.09077i | ||||
\(486\) | −11.2211 | − | 18.9759i | −0.509001 | − | 0.860766i | ||||
\(487\) | −16.5892 | + | 12.0528i | −0.751731 | + | 0.546164i | −0.896363 | − | 0.443321i | \(-0.853800\pi\) |
0.144632 | + | 0.989485i | \(0.453800\pi\) | |||||||
\(488\) | −7.81510 | + | 5.37990i | −0.353773 | + | 0.243537i | ||||
\(489\) | 24.1880 | − | 22.8867i | 1.09382 | − | 1.03497i | ||||
\(490\) | 3.77686 | − | 14.7711i | 0.170621 | − | 0.667289i | ||||
\(491\) | −15.3062 | − | 21.0671i | −0.690757 | − | 0.950746i | 0.309243 | − | 0.950983i | \(-0.399924\pi\) |
−1.00000 | 0.000237229i | \(0.999924\pi\) | ||||||||
\(492\) | −18.3958 | + | 10.8124i | −0.829348 | + | 0.487462i | ||||
\(493\) | −4.66428 | −0.210069 | ||||||||
\(494\) | 1.15350 | + | 5.66230i | 0.0518984 | + | 0.254759i | ||||
\(495\) | −5.35002 | − | 2.96852i | −0.240465 | − | 0.133425i | ||||
\(496\) | 9.84465 | + | 9.48764i | 0.442038 | + | 0.426008i | ||||
\(497\) | −2.32983 | − | 7.17047i | −0.104507 | − | 0.321639i | ||||
\(498\) | −24.7470 | − | 7.59850i | −1.10894 | − | 0.340497i | ||||
\(499\) | −9.63456 | −0.431302 | −0.215651 | − | 0.976470i | \(-0.569187\pi\) | ||||
−0.215651 | + | 0.976470i | \(0.569187\pi\) | |||||||
\(500\) | −13.3141 | + | 17.9648i | −0.595426 | + | 0.803410i | ||||
\(501\) | 0.522496 | − | 2.79641i | 0.0233434 | − | 0.124934i | ||||
\(502\) | 1.86026 | − | 16.3640i | 0.0830273 | − | 0.730363i | ||||
\(503\) | −6.62224 | + | 2.15170i | −0.295271 | + | 0.0959394i | −0.452907 | − | 0.891558i | \(-0.649613\pi\) |
0.157635 | + | 0.987497i | \(0.449613\pi\) | |||||||
\(504\) | 12.4839 | + | 1.00956i | 0.556076 | + | 0.0449694i | ||||
\(505\) | 4.58282 | − | 33.2082i | 0.203933 | − | 1.47775i | ||||
\(506\) | 0.949281 | + | 4.65983i | 0.0422007 | + | 0.207155i | ||||
\(507\) | 26.9106 | + | 5.02812i | 1.19514 | + | 0.223307i | ||||
\(508\) | −8.31443 | − | 9.55489i | −0.368893 | − | 0.423930i | ||||
\(509\) | −17.3660 | + | 12.6171i | −0.769734 | + | 0.559244i | −0.901880 | − | 0.431986i | \(-0.857813\pi\) |
0.132146 | + | 0.991230i | \(0.457813\pi\) | |||||||
\(510\) | −16.3277 | + | 35.1328i | −0.723002 | + | 1.55571i | ||||
\(511\) | −10.4149 | + | 14.3348i | −0.460726 | + | 0.634135i | ||||
\(512\) | −11.8667 | − | 19.2661i | −0.524438 | − | 0.851449i | ||||
\(513\) | −3.94507 | + | 0.293149i | −0.174179 | + | 0.0129428i | ||||
\(514\) | 12.3798 | + | 1.40733i | 0.546051 | + | 0.0620747i | ||||
\(515\) | 29.2777 | − | 5.23765i | 1.29013 | − | 0.230798i | ||||
\(516\) | 13.5159 | + | 1.31440i | 0.595006 | + | 0.0578634i | ||||
\(517\) | −1.45302 | + | 4.47193i | −0.0639037 | + | 0.196675i | ||||
\(518\) | −10.4859 | + | 5.93615i | −0.460725 | + | 0.260819i | ||||
\(519\) | −0.440293 | − | 0.239890i | −0.0193267 | − | 0.0105300i | ||||
\(520\) | 5.12635 | + | 33.5552i | 0.224805 | + | 1.47149i | ||||
\(521\) | 9.29592 | − | 3.02043i | 0.407262 | − | 0.132327i | −0.0982199 | − | 0.995165i | \(-0.531315\pi\) |
0.505482 | + | 0.862837i | \(0.331315\pi\) | |||||||
\(522\) | −1.24167 | − | 2.50709i | −0.0543466 | − | 0.109732i | ||||
\(523\) | −14.7699 | + | 20.3290i | −0.645842 | + | 0.888926i | −0.998910 | − | 0.0466719i | \(-0.985138\pi\) |
0.353068 | + | 0.935598i | \(0.385138\pi\) | |||||||
\(524\) | 4.03885 | + | 2.42401i | 0.176438 | + | 0.105893i | ||||
\(525\) | 1.84487 | − | 12.6491i | 0.0805168 | − | 0.552051i | ||||
\(526\) | 8.50916 | + | 15.0310i | 0.371017 | + | 0.655384i | ||||
\(527\) | 14.2108 | − | 19.5594i | 0.619030 | − | 0.852022i | ||||
\(528\) | −3.66721 | − | 5.14607i | −0.159595 | − | 0.223954i | ||||
\(529\) | 2.90700 | + | 8.94684i | 0.126391 | + | 0.388993i | ||||
\(530\) | 1.70776 | + | 26.7187i | 0.0741802 | + | 1.16058i | ||||
\(531\) | −34.7076 | − | 28.2734i | −1.50618 | − | 1.22696i | ||||
\(532\) | 1.15657 | − | 1.92706i | 0.0501435 | − | 0.0835485i | ||||
\(533\) | 31.4421 | + | 10.2162i | 1.36191 | + | 0.442511i | ||||
\(534\) | 16.4853 | + | 11.5727i | 0.713388 | + | 0.500800i | ||||
\(535\) | −0.447130 | + | 3.24001i | −0.0193311 | + | 0.140078i | ||||
\(536\) | −10.6595 | − | 8.16648i | −0.460420 | − | 0.352738i | ||||
\(537\) | −16.0309 | − | 33.7359i | −0.691785 | − | 1.45581i | ||||
\(538\) | −16.5836 | + | 36.4137i | −0.714968 | + | 1.56991i | ||||
\(539\) | 2.58472 | − | 3.55757i | 0.111332 | − | 0.153235i | ||||
\(540\) | −23.2308 | + | 0.576410i | −0.999692 | + | 0.0248047i | ||||
\(541\) | 2.34729 | + | 3.23076i | 0.100918 | + | 0.138901i | 0.856489 | − | 0.516165i | \(-0.172641\pi\) |
−0.755572 | + | 0.655066i | \(0.772641\pi\) | |||||||
\(542\) | −32.8031 | + | 6.68250i | −1.40901 | + | 0.287038i | ||||
\(543\) | 5.80618 | − | 31.0747i | 0.249167 | − | 1.33354i | ||||
\(544\) | −30.8421 | + | 25.4898i | −1.32234 | + | 1.09287i | ||||
\(545\) | −19.4111 | + | 10.3831i | −0.831479 | + | 0.444764i | ||||
\(546\) | −11.6596 | − | 15.5116i | −0.498983 | − | 0.663834i | ||||
\(547\) | −1.21106 | + | 0.393497i | −0.0517811 | + | 0.0168247i | −0.334793 | − | 0.942292i | \(-0.608666\pi\) |
0.283012 | + | 0.959116i | \(0.408666\pi\) | |||||||
\(548\) | −18.2383 | + | 7.75260i | −0.779103 | + | 0.331175i | ||||
\(549\) | −3.63374 | + | 9.38443i | −0.155084 | + | 0.400518i | ||||
\(550\) | −5.48127 | + | 3.39851i | −0.233722 | + | 0.144913i | ||||
\(551\) | −0.502038 | −0.0213875 | ||||||||
\(552\) | 12.0763 | + | 13.4309i | 0.514001 | + | 0.571657i | ||||
\(553\) | −6.20529 | + | 2.01622i | −0.263876 | + | 0.0857384i | ||||
\(554\) | −13.0870 | − | 11.9859i | −0.556013 | − | 0.509233i | ||||
\(555\) | 18.1873 | − | 13.0013i | 0.772009 | − | 0.551874i | ||||
\(556\) | −16.9922 | − | 19.5273i | −0.720629 | − | 0.828143i | ||||
\(557\) | 16.8290i | 0.713067i | 0.934283 | + | 0.356534i | \(0.116041\pi\) | ||||
−0.934283 | + | 0.356534i | \(0.883959\pi\) | |||||||
\(558\) | 14.2964 | + | 2.43150i | 0.605214 | + | 0.102933i | ||||
\(559\) | −12.3668 | − | 17.0214i | −0.523060 | − | 0.719930i | ||||
\(560\) | 7.34417 | − | 10.9708i | 0.310348 | − | 0.463603i | ||||
\(561\) | −8.11652 | + | 7.67986i | −0.342680 | + | 0.324244i | ||||
\(562\) | −21.0572 | − | 9.58990i | −0.888245 | − | 0.404525i | ||||
\(563\) | −12.4265 | + | 9.02837i | −0.523714 | + | 0.380500i | −0.818001 | − | 0.575217i | \(-0.804918\pi\) |
0.294287 | + | 0.955717i | \(0.404918\pi\) | |||||||
\(564\) | 3.84874 | + | 17.4390i | 0.162061 | + | 0.734313i | ||||
\(565\) | −3.43418 | − | 6.42014i | −0.144477 | − | 0.270097i | ||||
\(566\) | 11.5360 | + | 5.25372i | 0.484893 | + | 0.220830i | ||||
\(567\) | 11.5431 | − | 6.57507i | 0.484765 | − | 0.276127i | ||||
\(568\) | −0.367231 | + | 14.4427i | −0.0154087 | + | 0.606000i | ||||
\(569\) | −1.31798 | − | 0.428239i | −0.0552528 | − | 0.0179527i | 0.281260 | − | 0.959632i | \(-0.409248\pi\) |
−0.336513 | + | 0.941679i | \(0.609248\pi\) | |||||||
\(570\) | −1.75742 | + | 3.78150i | −0.0736104 | + | 0.158390i | ||||
\(571\) | −3.52223 | − | 10.8403i | −0.147401 | − | 0.453653i | 0.849911 | − | 0.526926i | \(-0.176655\pi\) |
−0.997312 | + | 0.0732733i | \(0.976655\pi\) | |||||||
\(572\) | −2.19754 | + | 9.54059i | −0.0918837 | + | 0.398912i | ||||
\(573\) | −31.2859 | − | 33.0648i | −1.30699 | − | 1.38130i | ||||
\(574\) | −6.33450 | − | 11.1896i | −0.264397 | − | 0.467044i | ||||
\(575\) | 14.4696 | − | 11.4214i | 0.603425 | − | 0.476306i | ||||
\(576\) | −21.9115 | − | 9.79226i | −0.912977 | − | 0.408011i | ||||
\(577\) | 10.3388 | − | 14.2301i | 0.430410 | − | 0.592408i | −0.537637 | − | 0.843176i | \(-0.680683\pi\) |
0.968047 | + | 0.250768i | \(0.0806831\pi\) | |||||||
\(578\) | 34.4475 | + | 31.5493i | 1.43283 | + | 1.31228i | ||||
\(579\) | 11.8022 | − | 1.53631i | 0.490482 | − | 0.0638468i | ||||
\(580\) | −2.94546 | − | 0.145519i | −0.122304 | − | 0.00604233i | ||||
\(581\) | 4.82050 | − | 14.8360i | 0.199988 | − | 0.615500i | ||||
\(582\) | 8.67274 | + | 25.2863i | 0.359496 | + | 1.04815i | ||||
\(583\) | −2.38624 | + | 7.34409i | −0.0988279 | + | 0.304161i | ||||
\(584\) | 27.9671 | − | 19.2525i | 1.15729 | − | 0.796675i | ||||
\(585\) | 24.5433 | + | 26.3417i | 1.01474 | + | 1.08910i | ||||
\(586\) | −3.30517 | + | 29.0745i | −0.136535 | + | 1.20106i | ||||
\(587\) | −1.79724 | + | 1.30577i | −0.0741798 | + | 0.0538948i | −0.624257 | − | 0.781219i | \(-0.714598\pi\) |
0.550077 | + | 0.835114i | \(0.314598\pi\) | |||||||
\(588\) | 1.61656 | − | 16.6231i | 0.0666660 | − | 0.685523i | ||||
\(589\) | 1.52957 | − | 2.10527i | 0.0630248 | − | 0.0867462i | ||||
\(590\) | −43.8566 | + | 17.4147i | −1.80555 | + | 0.716951i | ||||
\(591\) | −11.7318 | − | 24.6887i | −0.482582 | − | 1.01556i | ||||
\(592\) | 22.7348 | − | 4.03248i | 0.934396 | − | 0.165734i | ||||
\(593\) | −3.06865 | −0.126014 | −0.0630072 | − | 0.998013i | \(-0.520069\pi\) | ||||
−0.0630072 | + | 0.998013i | \(0.520069\pi\) | |||||||
\(594\) | −6.28868 | − | 2.31825i | −0.258028 | − | 0.0951188i | ||||
\(595\) | −21.0081 | − | 10.1816i | −0.861247 | − | 0.417407i | ||||
\(596\) | −30.1000 | − | 6.93309i | −1.23294 | − | 0.283990i | ||||
\(597\) | −13.1036 | + | 1.70572i | −0.536296 | + | 0.0698104i | ||||
\(598\) | 3.16083 | − | 27.8048i | 0.129256 | − | 1.13702i | ||||
\(599\) | 21.5336 | 0.879841 | 0.439920 | − | 0.898037i | \(-0.355007\pi\) | ||||
0.439920 | + | 0.898037i | \(0.355007\pi\) | |||||||
\(600\) | −11.4069 | + | 21.6768i | −0.465686 | + | 0.884950i | ||||
\(601\) | 0.941808 | 0.0384171 | 0.0192086 | − | 0.999815i | \(-0.493885\pi\) | ||||
0.0192086 | + | 0.999815i | \(0.493885\pi\) | |||||||
\(602\) | −0.924288 | + | 8.13065i | −0.0376712 | + | 0.331380i | ||||
\(603\) | −14.2210 | − | 0.786826i | −0.579123 | − | 0.0320420i | ||||
\(604\) | 9.36142 | − | 40.6425i | 0.380911 | − | 1.65372i | ||||
\(605\) | 22.3813 | − | 4.00391i | 0.909928 | − | 0.162782i | ||||
\(606\) | −0.596716 | − | 36.7177i | −0.0242399 | − | 1.49155i | ||||
\(607\) | 35.6689 | 1.44775 | 0.723877 | − | 0.689929i | \(-0.242358\pi\) | ||||
0.723877 | + | 0.689929i | \(0.242358\pi\) | |||||||
\(608\) | −3.31968 | + | 2.74359i | −0.134631 | + | 0.111267i | ||||
\(609\) | 1.52271 | − | 0.723575i | 0.0617033 | − | 0.0293207i | ||||
\(610\) | 6.76977 | + | 8.16665i | 0.274100 | + | 0.330658i | ||||
\(611\) | 16.2635 | − | 22.3848i | 0.657952 | − | 0.905594i | ||||
\(612\) | −11.7960 | + | 40.7669i | −0.476824 | + | 1.64791i | ||||
\(613\) | 4.35028 | − | 3.16066i | 0.175706 | − | 0.127658i | −0.496456 | − | 0.868062i | \(-0.665366\pi\) |
0.672162 | + | 0.740404i | \(0.265366\pi\) | |||||||
\(614\) | 3.87704 | − | 34.1050i | 0.156465 | − | 1.37637i | ||||
\(615\) | 13.8738 | + | 19.4078i | 0.559444 | + | 0.782599i | ||||
\(616\) | 3.13648 | − | 2.15915i | 0.126372 | − | 0.0869945i | ||||
\(617\) | −2.71674 | + | 8.36126i | −0.109372 | + | 0.336612i | −0.990732 | − | 0.135834i | \(-0.956629\pi\) |
0.881360 | + | 0.472446i | \(0.156629\pi\) | |||||||
\(618\) | 30.8190 | − | 10.5704i | 1.23972 | − | 0.425202i | ||||
\(619\) | −3.36841 | + | 10.3669i | −0.135388 | + | 0.416681i | −0.995650 | − | 0.0931706i | \(-0.970300\pi\) |
0.860262 | + | 0.509852i | \(0.170300\pi\) | |||||||
\(620\) | 9.58424 | − | 11.9083i | 0.384912 | − | 0.478249i | ||||
\(621\) | 18.6083 | + | 4.55353i | 0.746726 | + | 0.182727i | ||||
\(622\) | −8.38107 | − | 7.67593i | −0.336050 | − | 0.307777i | ||||
\(623\) | −7.13412 | + | 9.81927i | −0.285822 | + | 0.393401i | ||||
\(624\) | 11.1658 | + | 35.4683i | 0.446989 | + | 1.41987i | ||||
\(625\) | 21.3321 | + | 13.0362i | 0.853284 | + | 0.521447i | ||||
\(626\) | −0.226149 | − | 0.399481i | −0.00903873 | − | 0.0159665i | ||||
\(627\) | −0.873618 | + | 0.826618i | −0.0348889 | + | 0.0330120i | ||||
\(628\) | 27.4851 | + | 6.33080i | 1.09678 | + | 0.252626i | ||||
\(629\) | −12.6170 | − | 38.8312i | −0.503073 | − | 1.54830i | ||||
\(630\) | −0.119825 | − | 14.0025i | −0.00477395 | − | 0.557871i | ||||
\(631\) | −29.7261 | − | 9.65860i | −1.18338 | − | 0.384503i | −0.349758 | − | 0.936840i | \(-0.613736\pi\) |
−0.833621 | + | 0.552337i | \(0.813736\pi\) | |||||||
\(632\) | 12.4986 | + | 0.317800i | 0.497168 | + | 0.0126414i | ||||
\(633\) | −15.3462 | + | 28.1662i | −0.609955 | + | 1.11951i | ||||
\(634\) | −19.0443 | − | 8.67317i | −0.756345 | − | 0.344455i | ||||
\(635\) | −9.81161 | + | 10.2110i | −0.389362 | + | 0.405211i | ||||
\(636\) | 6.32065 | + | 28.6394i | 0.250630 | + | 1.13563i | ||||
\(637\) | −20.9344 | + | 15.2097i | −0.829452 | + | 0.602632i | ||||
\(638\) | −0.774083 | − | 0.352534i | −0.0306462 | − | 0.0139569i | ||||
\(639\) | 8.30842 | + | 12.8758i | 0.328676 | + | 0.509358i | ||||
\(640\) | −20.2719 | + | 15.1345i | −0.801316 | + | 0.598242i | ||||
\(641\) | −10.0360 | − | 13.8134i | −0.396400 | − | 0.545598i | 0.563436 | − | 0.826160i | \(-0.309479\pi\) |
−0.959836 | + | 0.280562i | \(0.909479\pi\) | |||||||
\(642\) | 0.0582195 | + | 3.58242i | 0.00229774 | + | 0.141387i | ||||
\(643\) | 18.1038i | 0.713945i | 0.934115 | + | 0.356973i | \(0.116191\pi\) | ||||
−0.934115 | + | 0.356973i | \(0.883809\pi\) | |||||||
\(644\) | −8.21053 | + | 7.14460i | −0.323540 | + | 0.281537i | ||||
\(645\) | 0.116795 | − | 15.1821i | 0.00459880 | − | 0.597795i | ||||
\(646\) | 5.61605 | + | 5.14355i | 0.220960 | + | 0.202370i | ||||
\(647\) | 4.02142 | − | 1.30664i | 0.158098 | − | 0.0513693i | −0.228899 | − | 0.973450i | \(-0.573512\pi\) |
0.386997 | + | 0.922081i | \(0.373512\pi\) | |||||||
\(648\) | −25.0528 | + | 4.51210i | −0.984165 | + | 0.177252i | ||||
\(649\) | −13.6101 | −0.534241 | ||||||||
\(650\) | 36.8556 | − | 9.05249i | 1.44560 | − | 0.355068i | ||||
\(651\) | −1.60499 | + | 8.58994i | −0.0629046 | + | 0.336666i | ||||
\(652\) | −15.0419 | − | 35.3868i | −0.589087 | − | 1.38585i | ||||
\(653\) | −2.92781 | + | 0.951303i | −0.114574 | + | 0.0372274i | −0.365743 | − | 0.930716i | \(-0.619185\pi\) |
0.251169 | + | 0.967943i | \(0.419185\pi\) | |||||||
\(654\) | −19.2763 | + | 14.4894i | −0.753763 | + | 0.566581i | ||||
\(655\) | 2.29685 | − | 4.73916i | 0.0897454 | − | 0.185174i | ||||
\(656\) | 4.30308 | + | 24.2605i | 0.168007 | + | 0.947213i | ||||
\(657\) | 13.0037 | − | 33.5831i | 0.507322 | − | 1.31020i | ||||
\(658\) | −10.5449 | + | 2.14816i | −0.411082 | + | 0.0837438i | ||||
\(659\) | 4.08719 | + | 5.62553i | 0.159214 | + | 0.219140i | 0.881170 | − | 0.472800i | \(-0.156757\pi\) |
−0.721956 | + | 0.691939i | \(0.756757\pi\) | |||||||
\(660\) | −5.36514 | + | 4.59656i | −0.208838 | + | 0.178921i | ||||
\(661\) | −4.95272 | + | 6.81684i | −0.192639 | + | 0.265144i | −0.894400 | − | 0.447268i | \(-0.852397\pi\) |
0.701762 | + | 0.712412i | \(0.252397\pi\) | |||||||
\(662\) | 19.2090 | − | 42.1785i | 0.746578 | − | 1.63931i | ||||
\(663\) | 59.3889 | − | 28.2210i | 2.30647 | − | 1.09601i | ||||
\(664\) | −18.1791 | + | 23.7288i | −0.705488 | + | 0.920855i | ||||
\(665\) | −2.26119 | − | 1.09590i | −0.0876853 | − | 0.0424971i | ||||
\(666\) | 17.5133 | − | 17.1190i | 0.678627 | − | 0.663347i | ||||
\(667\) | 2.31221 | + | 0.751284i | 0.0895293 | + | 0.0290898i | ||||
\(668\) | −2.81656 | − | 1.69042i | −0.108976 | − | 0.0654044i | ||||
\(669\) | 7.36135 | − | 13.5110i | 0.284606 | − | 0.522364i | ||||
\(670\) | −8.03181 | + | 12.6841i | −0.310296 | + | 0.490028i | ||||
\(671\) | 0.945445 | + | 2.90978i | 0.0364985 | + | 0.112331i | ||||
\(672\) | 6.11451 | − | 13.1060i | 0.235872 | − | 0.505576i | ||||
\(673\) | 11.8527 | − | 16.3139i | 0.456888 | − | 0.628853i | −0.516971 | − | 0.856003i | \(-0.672941\pi\) |
0.973860 | + | 0.227150i | \(0.0729407\pi\) | |||||||
\(674\) | −22.5428 | − | 39.8208i | −0.868317 | − | 1.53384i | ||||
\(675\) | 2.95689 | + | 25.8120i | 0.113811 | + | 0.993502i | ||||
\(676\) | 16.2674 | − | 27.1045i | 0.625668 | − | 1.04248i | ||||
\(677\) | 7.30570 | − | 10.0554i | 0.280781 | − | 0.386462i | −0.645211 | − | 0.764004i | \(-0.723231\pi\) |
0.925992 | + | 0.377542i | \(0.123231\pi\) | |||||||
\(678\) | −4.79232 | − | 6.37557i | −0.184048 | − | 0.244852i | ||||
\(679\) | −15.3202 | + | 4.97783i | −0.587935 | + | 0.191032i | ||||
\(680\) | 31.4586 | + | 31.8051i | 1.20638 | + | 1.21967i | ||||
\(681\) | −11.1270 | + | 20.4225i | −0.426389 | + | 0.782591i | ||||
\(682\) | 3.83675 | − | 2.17201i | 0.146917 | − | 0.0831705i | ||||
\(683\) | 12.8755 | − | 39.6268i | 0.492668 | − | 1.51628i | −0.327891 | − | 0.944716i | \(-0.606338\pi\) |
0.820559 | − | 0.571561i | \(-0.193662\pi\) | |||||||
\(684\) | −1.26966 | + | 4.38793i | −0.0485465 | + | 0.167777i | ||||
\(685\) | 10.4507 | + | 19.5373i | 0.399300 | + | 0.746483i | ||||
\(686\) | 24.5183 | + | 2.78723i | 0.936114 | + | 0.106417i | ||||
\(687\) | −3.67582 | − | 7.73549i | −0.140241 | − | 0.295128i | ||||
\(688\) | 6.85961 | − | 14.1005i | 0.261520 | − | 0.537575i | ||||
\(689\) | 26.7090 | − | 36.7618i | 1.01753 | − | 1.40051i | ||||
\(690\) | 13.7530 | − | 14.7864i | 0.523568 | − | 0.562908i | ||||
\(691\) | −18.1538 | + | 13.1895i | −0.690604 | + | 0.501753i | −0.876859 | − | 0.480748i | \(-0.840365\pi\) |
0.186255 | + | 0.982502i | \(0.440365\pi\) | |||||||
\(692\) | −0.436763 | + | 0.380060i | −0.0166032 | + | 0.0144477i | ||||
\(693\) | 1.45835 | − | 3.76631i | 0.0553981 | − | 0.143070i | ||||
\(694\) | −5.84527 | − | 28.6933i | −0.221884 | − | 1.08918i | ||||
\(695\) | −20.0520 | + | 20.8682i | −0.760615 | + | 0.791575i | ||||
\(696\) | −3.21307 | + | 0.335441i | −0.121791 | + | 0.0127149i | ||||
\(697\) | 41.4370 | − | 13.4637i | 1.56954 | − | 0.509974i | ||||
\(698\) | 4.03226 | − | 35.4705i | 0.152623 | − | 1.34258i | ||||
\(699\) | −6.52488 | − | 1.21915i | −0.246794 | − | 0.0461123i | ||||
\(700\) | −12.9488 | − | 7.08507i | −0.489419 | − | 0.267790i | ||||
\(701\) | 21.3959 | 0.808113 | 0.404056 | − | 0.914734i | \(-0.367600\pi\) | ||||
0.404056 | + | 0.914734i | \(0.367600\pi\) | |||||||
\(702\) | 30.9789 | + | 24.4093i | 1.16922 | + | 0.921271i | ||||
\(703\) | −1.35803 | − | 4.17958i | −0.0512190 | − | 0.157636i | ||||
\(704\) | −7.04512 | + | 1.89919i | −0.265523 | + | 0.0715786i | ||||
\(705\) | 19.0362 | − | 6.02374i | 0.716945 | − | 0.226867i | ||||
\(706\) | 7.97511 | + | 39.1483i | 0.300147 | + | 1.47336i | ||||
\(707\) | 22.1287 | 0.832235 | ||||||||
\(708\) | −44.5638 | + | 26.1931i | −1.67481 | + | 0.984396i | ||||
\(709\) | 5.06692 | + | 6.97402i | 0.190292 | + | 0.261915i | 0.893494 | − | 0.449076i | \(-0.148247\pi\) |
−0.703201 | + | 0.710991i | \(0.748247\pi\) | |||||||
\(710\) | 16.1197 | − | 1.03031i | 0.604962 | − | 0.0386668i | ||||
\(711\) | 11.1426 | − | 7.19007i | 0.417882 | − | 0.269649i | ||||
\(712\) | 19.1573 | − | 13.1879i | 0.717951 | − | 0.494236i | ||||
\(713\) | −10.1951 | + | 7.40721i | −0.381811 | + | 0.277402i | ||||
\(714\) | −24.4471 | − | 7.50640i | −0.914909 | − | 0.280920i | ||||
\(715\) | 10.8432 | + | 1.49640i | 0.405514 | + | 0.0559620i | ||||
\(716\) | −42.9632 | + | 3.78069i | −1.60561 | + | 0.141291i | ||||
\(717\) | −21.4671 | + | 39.4005i | −0.801702 | + | 1.47144i | ||||
\(718\) | 21.8919 | − | 12.3931i | 0.816998 | − | 0.462508i | ||||
\(719\) | 8.93830 | − | 27.5092i | 0.333342 | − | 1.02592i | −0.634191 | − | 0.773177i | \(-0.718667\pi\) |
0.967533 | − | 0.252745i | \(-0.0813334\pi\) | |||||||
\(720\) | −8.72096 | + | 25.3761i | −0.325011 | + | 0.945710i | ||||
\(721\) | 6.06700 | + | 18.6723i | 0.225947 | + | 0.695393i | ||||
\(722\) | −19.2108 | − | 17.5945i | −0.714952 | − | 0.654800i | ||||
\(723\) | −10.2356 | − | 10.8176i | −0.380667 | − | 0.402311i | ||||
\(724\) | −31.2987 | − | 18.7846i | −1.16321 | − | 0.698124i | ||||
\(725\) | 0.131477 | + | 3.29452i | 0.00488293 | + | 0.122356i | ||||
\(726\) | 23.5595 | − | 8.08048i | 0.874374 | − | 0.299895i | ||||
\(727\) | −4.22018 | − | 3.06614i | −0.156518 | − | 0.113717i | 0.506770 | − | 0.862081i | \(-0.330839\pi\) |
−0.663288 | + | 0.748365i | \(0.730839\pi\) | |||||||
\(728\) | −21.4794 | + | 6.38022i | −0.796080 | + | 0.236467i | ||||
\(729\) | −19.2580 | + | 18.9244i | −0.713258 | + | 0.700902i | ||||
\(730\) | −24.2263 | − | 29.2252i | −0.896656 | − | 1.08167i | ||||
\(731\) | −26.3707 | − | 8.56837i | −0.975356 | − | 0.316913i | ||||
\(732\) | 8.69569 | + | 7.70804i | 0.321402 | + | 0.284897i | ||||
\(733\) | −0.506486 | + | 1.55880i | −0.0187075 | + | 0.0575757i | −0.959974 | − | 0.280088i | \(-0.909637\pi\) |
0.941267 | + | 0.337663i | \(0.109637\pi\) | |||||||
\(734\) | 3.26775 | − | 7.17523i | 0.120615 | − | 0.264842i | ||||
\(735\) | −18.6723 | − | 0.143644i | −0.688737 | − | 0.00529841i | ||||
\(736\) | 19.3950 | − | 7.66823i | 0.714909 | − | 0.282655i | ||||
\(737\) | −3.50317 | + | 2.54520i | −0.129041 | + | 0.0937537i | ||||
\(738\) | 18.2678 | + | 18.6886i | 0.672445 | + | 0.687935i | ||||
\(739\) | 19.9244 | + | 14.4759i | 0.732932 | + | 0.532506i | 0.890490 | − | 0.455004i | \(-0.150362\pi\) |
−0.157558 | + | 0.987510i | \(0.550362\pi\) | |||||||
\(740\) | −6.75610 | − | 24.9153i | −0.248359 | − | 0.915904i | ||||
\(741\) | 6.39230 | − | 3.03755i | 0.234827 | − | 0.111587i | ||||
\(742\) | −17.3175 | + | 3.52784i | −0.635744 | + | 0.129511i | ||||
\(743\) | 37.6707i | 1.38200i | 0.722854 | + | 0.691001i | \(0.242830\pi\) | ||||
−0.722854 | + | 0.691001i | \(0.757170\pi\) | |||||||
\(744\) | 8.38267 | − | 14.4958i | 0.307323 | − | 0.531443i | ||||
\(745\) | −4.72103 | + | 34.2097i | −0.172965 | + | 1.25335i | ||||
\(746\) | −31.0236 | − | 28.4134i | −1.13585 | − | 1.04029i | ||||
\(747\) | −1.75153 | + | 31.6569i | −0.0640851 | + | 1.15827i | ||||
\(748\) | 5.04746 | + | 11.8744i | 0.184553 | + | 0.434170i | ||||
\(749\) | −2.15902 | −0.0788889 | ||||||||
\(750\) | 25.2756 | + | 10.5424i | 0.922935 | + | 0.384955i | ||||
\(751\) | 47.7592i | 1.74276i | 0.490610 | + | 0.871379i | \(0.336774\pi\) | ||||
−0.490610 | + | 0.871379i | \(0.663226\pi\) | |||||||
\(752\) | 20.4236 | + | 2.84928i | 0.744771 | + | 0.103903i | ||||
\(753\) | −20.0021 | + | 2.60370i | −0.728917 | + | 0.0948842i | ||||
\(754\) | 3.69108 | + | 3.38054i | 0.134421 | + | 0.123112i | ||||
\(755\) | −46.1917 | − | 6.37458i | −1.68109 | − | 0.231995i | ||||
\(756\) | −2.47329 | − | 15.1388i | −0.0899526 | − | 0.550592i | ||||
\(757\) | 28.6553 | 1.04150 | 0.520748 | − | 0.853711i | \(-0.325653\pi\) | ||||
0.520748 | + | 0.853711i | \(0.325653\pi\) | |||||||
\(758\) | 5.82325 | + | 28.5852i | 0.211510 | + | 1.03826i | ||||
\(759\) | 5.26060 | − | 2.49978i | 0.190948 | − | 0.0907362i | ||||
\(760\) | 3.38603 | + | 3.42333i | 0.122824 | + | 0.124177i | ||||
\(761\) | 4.01908 | − | 5.53178i | 0.145691 | − | 0.200527i | −0.729934 | − | 0.683517i | \(-0.760449\pi\) |
0.875626 | + | 0.482990i | \(0.160449\pi\) | |||||||
\(762\) | −8.91290 | + | 12.6964i | −0.322880 | + | 0.459942i | ||||
\(763\) | −8.54130 | − | 11.7561i | −0.309216 | − | 0.425599i | ||||
\(764\) | −48.3734 | + | 20.5621i | −1.75009 | + | 0.743912i | ||||
\(765\) | 46.5729 | + | 9.07327i | 1.68385 | + | 0.328045i | ||||
\(766\) | 45.9774 | + | 20.9391i | 1.66123 | + | 0.756560i | ||||
\(767\) | 76.1682 | + | 24.7486i | 2.75028 | + | 0.893619i | ||||
\(768\) | −19.4130 | + | 19.7772i | −0.700505 | + | 0.713648i | ||||
\(769\) | −2.75031 | + | 8.46457i | −0.0991785 | + | 0.305240i | −0.988320 | − | 0.152392i | \(-0.951302\pi\) |
0.889142 | + | 0.457632i | \(0.151302\pi\) | |||||||
\(770\) | −2.71695 | − | 3.27757i | −0.0979121 | − | 0.118115i | ||||
\(771\) | −1.96977 | − | 15.1321i | −0.0709395 | − | 0.544970i | ||||
\(772\) | 3.08472 | − | 13.3923i | 0.111022 | − | 0.481999i | ||||
\(773\) | −12.2753 | + | 16.8954i | −0.441510 | + | 0.607687i | −0.970547 | − | 0.240912i | \(-0.922553\pi\) |
0.529037 | + | 0.848599i | \(0.322553\pi\) | |||||||
\(774\) | −2.41456 | − | 16.4555i | −0.0867897 | − | 0.591479i | ||||
\(775\) | −14.2160 | − | 9.48615i | −0.510654 | − | 0.340753i | ||||
\(776\) | 30.8577 | + | 0.784614i | 1.10773 | + | 0.0281660i | ||||
\(777\) | 10.1429 | + | 10.7196i | 0.363875 | + | 0.384564i | ||||
\(778\) | −13.0401 | − | 11.9430i | −0.467512 | − | 0.428178i | ||||
\(779\) | 4.46005 | − | 1.44916i | 0.159798 | − | 0.0519215i | ||||
\(780\) | 38.3842 | − | 15.9685i | 1.37438 | − | 0.571766i | ||||
\(781\) | 4.43078 | + | 1.43965i | 0.158546 | + | 0.0515146i | ||||
\(782\) | −18.1684 | − | 32.0937i | −0.649702 | − | 1.14767i | ||||
\(783\) | −2.61522 | + | 2.21393i | −0.0934605 | + | 0.0791193i | ||||
\(784\) | −17.3420 | − | 8.43654i | −0.619356 | − | 0.301305i | ||||
\(785\) | 4.31090 | − | 31.2379i | 0.153863 | − | 1.11493i | ||||
\(786\) | 1.69335 | − | 5.51496i | 0.0603998 | − | 0.196712i | ||||
\(787\) | −20.9524 | − | 28.8386i | −0.746874 | − | 1.02798i | −0.998194 | − | 0.0600794i | \(-0.980865\pi\) |
0.251320 | − | 0.967904i | \(-0.419135\pi\) | |||||||
\(788\) | −31.4415 | + | 2.76679i | −1.12006 | + | 0.0985630i | ||||
\(789\) | 15.3660 | − | 14.5393i | 0.547044 | − | 0.517614i | ||||
\(790\) | −0.891626 | − | 13.9499i | −0.0317226 | − | 0.496316i | ||||
\(791\) | 3.88828 | − | 2.82500i | 0.138251 | − | 0.100445i | ||||
\(792\) | −5.03889 | + | 5.87412i | −0.179049 | + | 0.208728i | ||||
\(793\) | − | 18.0037i | − | 0.639330i | ||||||
\(794\) | 5.16933 | + | 25.3752i | 0.183453 | + | 0.900532i | ||||
\(795\) | 31.2625 | − | 9.89257i | 1.10877 | − | 0.350853i | ||||
\(796\) | −3.42488 | + | 14.8691i | −0.121392 | + | 0.527021i | ||||
\(797\) | −49.5085 | + | 16.0863i | −1.75368 | + | 0.569805i | −0.996515 | − | 0.0834170i | \(-0.973417\pi\) |
−0.757166 | + | 0.653222i | \(0.773417\pi\) | |||||||
\(798\) | −2.63135 | − | 0.807948i | −0.0931488 | − | 0.0286011i | ||||
\(799\) | − | 36.4648i | − | 1.29003i | ||||||
\(800\) | 18.8736 | + | 21.0662i | 0.667284 | + | 0.744804i | ||||
\(801\) | 8.90746 | − | 23.0042i | 0.314729 | − | 0.812815i | ||||
\(802\) | −5.61114 | + | 49.3593i | −0.198136 | + | 1.74294i | ||||
\(803\) | −3.38337 | − | 10.4129i | −0.119397 | − | 0.367465i | ||||
\(804\) | −6.57220 | + | 15.0758i | −0.231784 | + | 0.531683i | ||||
\(805\) | 8.77431 | + | 8.43113i | 0.309254 | + | 0.297158i | ||||
\(806\) | −25.4218 | + | 5.17883i | −0.895446 | + | 0.182416i | ||||
\(807\) | 48.1710 | + | 9.00055i | 1.69570 | + | 0.316834i | ||||
\(808\) | −39.9821 | − | 14.1243i | −1.40656 | − | 0.496890i | ||||
\(809\) | 30.2303 | + | 41.6085i | 1.06284 | + | 1.46288i | 0.877118 | + | 0.480274i | \(0.159463\pi\) |
0.185723 | + | 0.982602i | \(0.440537\pi\) | |||||||
\(810\) | 7.52119 | + | 27.4487i | 0.264268 | + | 0.964449i | ||||
\(811\) | 11.2859 | + | 8.19967i | 0.396301 | + | 0.287929i | 0.768033 | − | 0.640411i | \(-0.221236\pi\) |
−0.371732 | + | 0.928340i | \(0.621236\pi\) | |||||||
\(812\) | −0.170646 | − | 1.93920i | −0.00598850 | − | 0.0680525i | ||||
\(813\) | 17.5973 | + | 37.0322i | 0.617164 | + | 1.29878i | ||||
\(814\) | 0.841004 | − | 7.39803i | 0.0294772 | − | 0.259301i | ||||
\(815\) | −37.9072 | + | 20.2768i | −1.32783 | + | 0.710267i | ||||
\(816\) | 39.3797 | + | 29.1666i | 1.37857 | + | 1.02103i | ||||
\(817\) | −2.83840 | − | 0.922253i | −0.0993031 | − | 0.0322655i | ||||
\(818\) | 2.15865 | − | 1.22203i | 0.0754755 | − | 0.0427272i | ||||
\(819\) | −15.0103 | + | 18.4262i | −0.524501 | + | 0.643862i | ||||
\(820\) | 26.5873 | − | 7.20947i | 0.928468 | − | 0.251766i | ||||
\(821\) | −9.42779 | − | 29.0157i | −0.329032 | − | 1.01266i | −0.969588 | − | 0.244745i | \(-0.921296\pi\) |
0.640556 | − | 0.767912i | \(-0.278704\pi\) | |||||||
\(822\) | 14.5837 | + | 19.4017i | 0.508663 | + | 0.676712i | ||||
\(823\) | −5.52630 | − | 4.01510i | −0.192635 | − | 0.139957i | 0.487287 | − | 0.873242i | \(-0.337986\pi\) |
−0.679922 | + | 0.733284i | \(0.737986\pi\) | |||||||
\(824\) | 0.956290 | − | 37.6095i | 0.0333139 | − | 1.31019i | ||||
\(825\) | 5.65331 | + | 5.51647i | 0.196823 | + | 0.192059i | ||||
\(826\) | −15.3453 | − | 27.1067i | −0.533931 | − | 0.943163i | ||||
\(827\) | −16.5192 | − | 12.0019i | −0.574428 | − | 0.417347i | 0.262283 | − | 0.964991i | \(-0.415525\pi\) |
−0.836711 | + | 0.547644i | \(0.815525\pi\) | |||||||
\(828\) | 12.4140 | − | 18.3093i | 0.431416 | − | 0.636293i | ||||
\(829\) | −17.2166 | + | 5.59402i | −0.597958 | + | 0.194288i | −0.592330 | − | 0.805696i | \(-0.701792\pi\) |
−0.00562861 | + | 0.999984i | \(0.501792\pi\) | |||||||
\(830\) | 28.2356 | + | 17.8794i | 0.980072 | + | 0.620602i | ||||
\(831\) | −10.3987 | + | 19.0857i | −0.360727 | + | 0.662076i | ||||
\(832\) | 42.8813 | + | 2.18208i | 1.48664 | + | 0.0756501i | ||||
\(833\) | −10.5381 | + | 32.4330i | −0.365124 | + | 1.12374i | ||||
\(834\) | −18.2153 | + | 25.9476i | −0.630744 | + | 0.898493i | ||||
\(835\) | −1.60175 | + | 3.30493i | −0.0554308 | + | 0.114372i | ||||
\(836\) | 0.543281 | + | 1.27809i | 0.0187898 | + | 0.0442038i | ||||
\(837\) | −1.31614 | − | 17.7120i | −0.0454925 | − | 0.612217i | ||||
\(838\) | −18.7845 | − | 8.55487i | −0.648901 | − | 0.295523i | ||||
\(839\) | 13.1432 | + | 9.54908i | 0.453753 | + | 0.329671i | 0.791076 | − | 0.611718i | \(-0.209521\pi\) |
−0.337323 | + | 0.941389i | \(0.609521\pi\) | |||||||
\(840\) | −15.2040 | − | 5.50296i | −0.524588 | − | 0.189870i | ||||
\(841\) | 23.1097 | − | 16.7902i | 0.796886 | − | 0.578972i | ||||
\(842\) | −0.374625 | + | 0.0763170i | −0.0129104 | + | 0.00263006i | ||||
\(843\) | −5.20481 | + | 27.8562i | −0.179263 | + | 0.959419i | ||||
\(844\) | 24.3130 | + | 27.9404i | 0.836888 | + | 0.961747i | ||||
\(845\) | −31.8042 | − | 15.4140i | −1.09410 | − | 0.530259i | ||||
\(846\) | 19.6001 | − | 9.70726i | 0.673866 | − | 0.333742i | ||||
\(847\) | 4.63790 | + | 14.2740i | 0.159360 | + | 0.490460i | ||||
\(848\) | 33.5409 | + | 4.67927i | 1.15180 | + | 0.160687i | ||||
\(849\) | 2.85140 | − | 15.2607i | 0.0978597 | − | 0.523747i | ||||
\(850\) | 32.2828 | − | 38.2012i | 1.10729 | − | 1.31029i | ||||
\(851\) | 21.2820i | 0.729536i | ||||||||
\(852\) | 17.2785 | − | 3.81332i | 0.591951 | − | 0.130642i | ||||
\(853\) | 0.847127 | + | 2.60719i | 0.0290051 | + | 0.0892684i | 0.964511 | − | 0.264042i | \(-0.0850558\pi\) |
−0.935506 | + | 0.353311i | \(0.885056\pi\) | |||||||
\(854\) | −4.72933 | + | 5.16378i | −0.161834 | + | 0.176701i | ||||
\(855\) | 5.01286 | + | 0.976597i | 0.171436 | + | 0.0333989i | ||||
\(856\) | 3.90091 | + | 1.37806i | 0.133330 | + | 0.0471010i | ||||
\(857\) | 1.70583 | 0.0582699 | 0.0291349 | − | 0.999575i | \(-0.490725\pi\) | ||||
0.0291349 | + | 0.999575i | \(0.490725\pi\) | |||||||
\(858\) | 11.9892 | − | 0.194841i | 0.409303 | − | 0.00665178i | ||||
\(859\) | 38.1711 | − | 27.7330i | 1.30238 | − | 0.946236i | 0.302406 | − | 0.953179i | \(-0.402210\pi\) |
0.999976 | + | 0.00694302i | \(0.00221005\pi\) | |||||||
\(860\) | −16.3856 | − | 6.23360i | −0.558746 | − | 0.212564i | ||||
\(861\) | −11.4390 | + | 10.8236i | −0.389839 | + | 0.368866i | ||||
\(862\) | 7.41495 | − | 16.2815i | 0.252554 | − | 0.554551i | ||||
\(863\) | −33.9426 | − | 46.7179i | −1.15542 | − | 1.59030i | −0.726865 | − | 0.686780i | \(-0.759024\pi\) |
−0.428553 | − | 0.903517i | \(-0.640976\pi\) | |||||||
\(864\) | −5.19402 | + | 28.9313i | −0.176704 | + | 0.984264i | ||||
\(865\) | 0.466753 | + | 0.448498i | 0.0158701 | + | 0.0152494i | ||||
\(866\) | −24.5996 | − | 11.2032i | −0.835930 | − | 0.380700i | ||||
\(867\) | 27.3715 | − | 50.2374i | 0.929583 | − | 1.70615i | ||||
\(868\) | 8.65184 | + | 5.19260i | 0.293663 | + | 0.176248i | ||||
\(869\) | 1.24586 | − | 3.83438i | 0.0422631 | − | 0.130072i | ||||
\(870\) | 0.693734 | + | 3.54459i | 0.0235198 | + | 0.120173i | ||||
\(871\) | 24.2336 | − | 7.87397i | 0.821124 | − | 0.266799i | ||||
\(872\) | 7.92873 | + | 26.6926i | 0.268501 | + | 0.903925i | ||||
\(873\) | 27.5100 | − | 17.7515i | 0.931072 | − | 0.600798i | ||||
\(874\) | −1.95555 | − | 3.45439i | −0.0661475 | − | 0.116846i | ||||
\(875\) | −6.59943 | + | 15.1256i | −0.223102 | + | 0.511340i | ||||
\(876\) | −31.1184 | − | 27.5840i | −1.05139 | − | 0.931977i | ||||
\(877\) | −25.3487 | − | 18.4169i | −0.855966 | − | 0.621896i | 0.0708185 | − | 0.997489i | \(-0.477439\pi\) |
−0.926784 | + | 0.375594i | \(0.877439\pi\) | |||||||
\(878\) | −19.4988 | + | 21.2900i | −0.658053 | + | 0.718503i | ||||
\(879\) | 35.5383 | − | 4.62608i | 1.19868 | − | 0.156034i | ||||
\(880\) | 2.81698 | + | 7.65607i | 0.0949603 | + | 0.258086i | ||||
\(881\) | 43.7549 | + | 14.2168i | 1.47414 | + | 0.478977i | 0.932356 | − | 0.361541i | \(-0.117749\pi\) |
0.541784 | + | 0.840518i | \(0.317749\pi\) | |||||||
\(882\) | −20.2383 | + | 2.96964i | −0.681460 | + | 0.0999928i | ||||
\(883\) | −29.7733 | − | 9.67394i | −1.00195 | − | 0.325554i | −0.238307 | − | 0.971190i | \(-0.576592\pi\) |
−0.763645 | + | 0.645636i | \(0.776592\pi\) | |||||||
\(884\) | −6.65556 | − | 75.6329i | −0.223851 | − | 2.54381i | ||||
\(885\) | 33.6091 | + | 47.0153i | 1.12976 | + | 1.58040i | ||||
\(886\) | −31.3746 | − | 3.56665i | −1.05405 | − | 0.119824i | ||||
\(887\) | −33.6980 | − | 46.3813i | −1.13147 | − | 1.55733i | −0.785253 | − | 0.619175i | \(-0.787467\pi\) |
−0.346214 | − | 0.938156i | \(-0.612533\pi\) | |||||||
\(888\) | −11.4841 | − | 25.8421i | −0.385380 | − | 0.867205i | ||||
\(889\) | −7.56246 | − | 5.49445i | −0.253637 | − | 0.184278i | ||||
\(890\) | −16.5949 | − | 20.0191i | −0.556262 | − | 0.671041i | ||||
\(891\) | −0.905577 | + | 8.15859i | −0.0303380 | + | 0.273323i | ||||
\(892\) | −11.6626 | − | 13.4026i | −0.390494 | − | 0.448753i | ||||
\(893\) | − | 3.92487i | − | 0.131341i | ||||||
\(894\) | 0.614712 | + | 37.8251i | 0.0205590 | + | 1.26506i | ||||
\(895\) | 8.49152 | + | 47.4664i | 0.283840 | + | 1.58663i | ||||
\(896\) | −11.7259 | − | 11.8902i | −0.391735 | − | 0.397224i | ||||
\(897\) | −33.9864 | + | 4.42405i | −1.13477 | + | 0.147715i | ||||
\(898\) | −2.42832 | + | 21.3611i | −0.0810341 | + | 0.712830i | ||||
\(899\) | − | 2.25398i | − | 0.0751745i | ||||||
\(900\) | 29.1275 | + | 7.18272i | 0.970915 | + | 0.239424i | ||||
\(901\) | − | 59.8848i | − | 1.99505i | ||||||
\(902\) | 7.89449 | + | 0.897441i | 0.262858 | + | 0.0298815i | ||||
\(903\) | 9.93826 | − | 1.29368i | 0.330725 | − | 0.0430509i | ||||
\(904\) | −8.82847 | + | 2.62240i | −0.293631 | + | 0.0872197i | ||||
\(905\) | −17.7992 | + | 36.7256i | −0.591666 | + | 1.22080i | ||||
\(906\) | −51.0733 | + | 0.830016i | −1.69680 | + | 0.0275754i | ||||
\(907\) | − | 43.2814i | − | 1.43714i | −0.695457 | − | 0.718568i | \(-0.744798\pi\) | ||
0.695457 | − | 0.718568i | \(-0.255202\pi\) | |||||||
\(908\) | 17.6286 | + | 20.2587i | 0.585027 | + | 0.672309i | ||||
\(909\) | −43.4769 | + | 11.5140i | −1.44204 | + | 0.381896i | ||||
\(910\) | 9.24540 | + | 23.2833i | 0.306482 | + | 0.771835i | ||||
\(911\) | 6.39354 | + | 4.64518i | 0.211827 | + | 0.153902i | 0.688640 | − | 0.725103i | \(-0.258208\pi\) |
−0.476813 | + | 0.879005i | \(0.658208\pi\) | |||||||
\(912\) | 4.23862 | + | 3.13933i | 0.140355 | + | 0.103954i | ||||
\(913\) | 5.66580 | + | 7.79830i | 0.187511 | + | 0.258086i | ||||
\(914\) | 3.12299 | − | 27.4719i | 0.103299 | − | 0.908691i | ||||
\(915\) | 7.71700 | − | 10.4515i | 0.255116 | − | 0.345516i | ||||
\(916\) | −9.85129 | + | 0.866897i | −0.325496 | + | 0.0286431i | ||||
\(917\) | 3.30625 | + | 1.07426i | 0.109182 | + | 0.0354754i | ||||
\(918\) | 51.9377 | + | 2.02775i | 1.71420 | + | 0.0669256i | ||||
\(919\) | −6.05656 | − | 1.96789i | −0.199787 | − | 0.0649149i | 0.207414 | − | 0.978253i | \(-0.433495\pi\) |
−0.407201 | + | 0.913338i | \(0.633495\pi\) | |||||||
\(920\) | −10.4720 | − | 20.8338i | −0.345251 | − | 0.686870i | ||||
\(921\) | −41.6873 | + | 5.42649i | −1.37364 | + | 0.178809i | ||||
\(922\) | 1.56232 | + | 1.43087i | 0.0514522 | + | 0.0471233i | ||||
\(923\) | −22.1789 | − | 16.1139i | −0.730026 | − | 0.530395i | ||||
\(924\) | −3.48989 | − | 3.09351i | −0.114809 | − | 0.101769i | ||||
\(925\) | −27.0720 | + | 10.0064i | −0.890122 | + | 0.329007i | ||||
\(926\) | 2.71632 | − | 1.53773i | 0.0892639 | − | 0.0505329i | ||||
\(927\) | −21.6356 | − | 33.5293i | −0.710606 | − | 1.10125i | ||||
\(928\) | −0.929425 | + | 3.61265i | −0.0305099 | + | 0.118591i | ||||
\(929\) | 11.5433 | − | 3.75064i | 0.378723 | − | 0.123055i | −0.113468 | − | 0.993542i | \(-0.536196\pi\) |
0.492191 | + | 0.870487i | \(0.336196\pi\) | |||||||
\(930\) | −16.9777 | − | 7.89025i | −0.556721 | − | 0.258731i | ||||
\(931\) | −1.13426 | + | 3.49091i | −0.0371740 | + | 0.114410i | ||||
\(932\) | −3.94427 | + | 6.57190i | −0.129199 | + | 0.215270i | ||||
\(933\) | −6.65946 | + | 12.2227i | −0.218021 | + | 0.400154i | ||||
\(934\) | 18.0525 | − | 39.6391i | 0.590696 | − | 1.29703i | ||||
\(935\) | 12.7201 | − | 6.80409i | 0.415992 | − | 0.222517i | ||||
\(936\) | 38.8815 | − | 23.7116i | 1.27088 | − | 0.775037i | ||||
\(937\) | −4.09316 | − | 5.63375i | −0.133718 | − | 0.184047i | 0.736907 | − | 0.675994i | \(-0.236285\pi\) |
−0.870625 | + | 0.491947i | \(0.836285\pi\) | |||||||
\(938\) | −9.01901 | − | 4.10745i | −0.294481 | − | 0.134113i | ||||
\(939\) | −0.408384 | + | 0.386413i | −0.0133271 | + | 0.0126101i | ||||
\(940\) | 1.13765 | − | 23.0273i | 0.0371060 | − | 0.751067i | ||||
\(941\) | 14.8561 | − | 10.7936i | 0.484295 | − | 0.351861i | −0.318691 | − | 0.947859i | \(-0.603243\pi\) |
0.802986 | + | 0.595998i | \(0.203243\pi\) | |||||||
\(942\) | −0.561311 | − | 34.5391i | −0.0182885 | − | 1.12535i | ||||
\(943\) | −22.7101 | −0.739543 | ||||||||
\(944\) | 10.4242 | + | 58.7709i | 0.339279 | + | 1.91283i | ||||
\(945\) | −16.6118 | + | 4.26284i | −0.540383 | + | 0.138670i | ||||
\(946\) | −3.72887 | − | 3.41515i | −0.121236 | − | 0.111036i | ||||
\(947\) | 7.19358 | + | 22.1396i | 0.233760 | + | 0.719439i | 0.997283 | + | 0.0736593i | \(0.0234677\pi\) |
−0.763523 | + | 0.645780i | \(0.776532\pi\) | |||||||
\(948\) | −3.30003 | − | 14.9527i | −0.107180 | − | 0.485642i | ||||
\(949\) | 64.4281i | 2.09142i | ||||||||
\(950\) | 3.47474 | − | 4.11177i | 0.112735 | − | 0.133404i | ||||
\(951\) | −4.70727 | + | 25.1933i | −0.152644 | + | 0.816950i | ||||
\(952\) | −17.9588 | + | 23.4412i | −0.582048 | + | 0.759733i | ||||
\(953\) | 7.87752 | + | 24.2445i | 0.255178 | + | 0.785357i | 0.993795 | + | 0.111231i | \(0.0354794\pi\) |
−0.738617 | + | 0.674126i | \(0.764521\pi\) | |||||||
\(954\) | 32.1886 | − | 15.9419i | 1.04214 | − | 0.516137i | ||||
\(955\) | 27.7182 | + | 51.8187i | 0.896941 | + | 1.67681i | ||||
\(956\) | 34.0104 | + | 39.0846i | 1.09998 | + | 1.26409i | ||||
\(957\) | −0.191334 | + | 1.02402i | −0.00618494 | + | 0.0331019i | ||||
\(958\) | −10.5156 | − | 51.6190i | −0.339743 | − | 1.66773i | ||||
\(959\) | −11.8326 | + | 8.59686i | −0.382093 | + | 0.277607i | ||||
\(960\) | 23.9581 | + | 19.6471i | 0.773245 | + | 0.634108i | ||||
\(961\) | −15.6276 | − | 11.3541i | −0.504115 | − | 0.366261i | ||||
\(962\) | −18.1593 | + | 39.8736i | −0.585478 | + | 1.28558i | ||||
\(963\) | 4.24190 | − | 1.12338i | 0.136693 | − | 0.0362005i | ||||
\(964\) | −15.8260 | + | 6.72719i | −0.509722 | + | 0.216668i | ||||
\(965\) | −15.2209 | − | 2.10052i | −0.489977 | − | 0.0676180i | ||||
\(966\) | 10.9100 | + | 7.65887i | 0.351025 | + | 0.246420i | ||||
\(967\) | −15.6559 | + | 48.1841i | −0.503461 | + | 1.54949i | 0.299881 | + | 0.953977i | \(0.403053\pi\) |
−0.803342 | + | 0.595518i | \(0.796947\pi\) | |||||||
\(968\) | 0.731034 | − | 28.7505i | 0.0234963 | − | 0.924075i | ||||
\(969\) | 4.46242 | − | 8.19029i | 0.143354 | − | 0.263110i | ||||
\(970\) | −2.20133 | − | 34.4409i | −0.0706804 | − | 1.10583i | ||||
\(971\) | 28.7487 | − | 9.34102i | 0.922590 | − | 0.299768i | 0.191061 | − | 0.981578i | \(-0.438807\pi\) |
0.731529 | + | 0.681811i | \(0.238807\pi\) | |||||||
\(972\) | 12.7364 | + | 28.4567i | 0.408519 | + | 0.912750i | ||||
\(973\) | −15.4554 | − | 11.2290i | −0.495477 | − | 0.359985i | ||||
\(974\) | 25.2359 | − | 14.2862i | 0.808610 | − | 0.457760i | ||||
\(975\) | −21.6074 | − | 41.1527i | −0.691991 | − | 1.31794i | ||||
\(976\) | 11.8409 | − | 6.31127i | 0.379017 | − | 0.202019i | ||||
\(977\) | −29.0278 | − | 21.0900i | −0.928683 | − | 0.674727i | 0.0169873 | − | 0.999856i | \(-0.494593\pi\) |
−0.945670 | + | 0.325128i | \(0.894593\pi\) | |||||||
\(978\) | −37.6440 | + | 28.2958i | −1.20372 | + | 0.904801i | ||||
\(979\) | −2.31759 | − | 7.13281i | −0.0740705 | − | 0.227965i | ||||
\(980\) | −7.66662 | + | 20.1525i | −0.244901 | + | 0.643747i | ||||
\(981\) | 22.8983 | + | 18.6533i | 0.731086 | + | 0.595555i | ||||
\(982\) | 18.1424 | + | 32.0477i | 0.578948 | + | 1.02268i | ||||
\(983\) | 12.0800 | + | 3.92504i | 0.385293 | + | 0.125189i | 0.495257 | − | 0.868746i | \(-0.335074\pi\) |
−0.109965 | + | 0.993935i | \(0.535074\pi\) | |||||||
\(984\) | 27.5763 | − | 12.2547i | 0.879101 | − | 0.390666i | ||||
\(985\) | 6.21429 | + | 34.7370i | 0.198004 | + | 1.10681i | ||||
\(986\) | 6.55407 | + | 0.745064i | 0.208724 | + | 0.0237277i | ||||
\(987\) | 5.65682 | + | 11.9044i | 0.180059 | + | 0.378920i | ||||
\(988\) | −0.716368 | − | 8.14071i | −0.0227907 | − | 0.258990i | ||||
\(989\) | 11.6926 | + | 8.49516i | 0.371803 | + | 0.270130i | ||||
\(990\) | 7.04346 | + | 5.02585i | 0.223856 | + | 0.159732i | ||||
\(991\) | 33.6087 | + | 46.2584i | 1.06762 | + | 1.46945i | 0.872467 | + | 0.488673i | \(0.162519\pi\) |
0.195149 | + | 0.980774i | \(0.437481\pi\) | |||||||
\(992\) | −12.3178 | − | 14.9042i | −0.391090 | − | 0.473210i | ||||
\(993\) | −55.7972 | − | 10.4255i | −1.77067 | − | 0.330842i | ||||
\(994\) | 2.12839 | + | 10.4478i | 0.0675084 | + | 0.331385i | ||||
\(995\) | 16.8993 | + | 2.33214i | 0.535743 | + | 0.0739339i | ||||
\(996\) | 33.5598 | + | 14.6302i | 1.06338 | + | 0.463575i | ||||
\(997\) | −11.7946 | − | 36.3000i | −0.373538 | − | 1.14963i | −0.944460 | − | 0.328628i | \(-0.893414\pi\) |
0.570921 | − | 0.821005i | \(-0.306586\pi\) | |||||||
\(998\) | 13.5381 | + | 1.53901i | 0.428542 | + | 0.0487165i | ||||
\(999\) | −25.5057 | − | 15.7836i | −0.806965 | − | 0.499371i |
(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 | 600.2.bk.a.59.5 | ✓ | 464 | |
3.2 | odd | 2 | inner | 600.2.bk.a.59.112 | yes | 464 | |
8.3 | odd | 2 | inner | 600.2.bk.a.59.42 | yes | 464 | |
24.11 | even | 2 | inner | 600.2.bk.a.59.75 | yes | 464 | |
25.14 | even | 10 | inner | 600.2.bk.a.539.75 | yes | 464 | |
75.14 | odd | 10 | inner | 600.2.bk.a.539.42 | yes | 464 | |
200.139 | odd | 10 | inner | 600.2.bk.a.539.112 | yes | 464 | |
600.539 | even | 10 | inner | 600.2.bk.a.539.5 | yes | 464 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
600.2.bk.a.59.5 | ✓ | 464 | 1.1 | even | 1 | trivial | |
600.2.bk.a.59.42 | yes | 464 | 8.3 | odd | 2 | inner | |
600.2.bk.a.59.75 | yes | 464 | 24.11 | even | 2 | inner | |
600.2.bk.a.59.112 | yes | 464 | 3.2 | odd | 2 | inner | |
600.2.bk.a.539.5 | yes | 464 | 600.539 | even | 10 | inner | |
600.2.bk.a.539.42 | yes | 464 | 75.14 | odd | 10 | inner | |
600.2.bk.a.539.75 | yes | 464 | 25.14 | even | 10 | inner | |
600.2.bk.a.539.112 | yes | 464 | 200.139 | odd | 10 | inner |