Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(22,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(112))
chi = DirichletCharacter(H, H._module([35, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bj (of order \(112\), degree \(48\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(3072\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{112})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{112}]$ |
Embedding invariants
Embedding label | 22.9 | ||
Character | \(\chi\) | \(=\) | 731.22 |
Dual form | 731.2.bj.a.432.9 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{5}{16}\right)\) | \(e\left(\frac{5}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.22229 | − | 0.124801i | −1.57140 | − | 0.0882478i | −0.751101 | − | 0.660187i | \(-0.770477\pi\) |
−0.820296 | + | 0.571940i | \(0.806191\pi\) | |||||||
\(3\) | −1.23180 | + | 2.08821i | −0.711181 | + | 1.20563i | 0.259613 | + | 0.965713i | \(0.416405\pi\) |
−0.970794 | + | 0.239914i | \(0.922881\pi\) | |||||||
\(4\) | 2.93558 | + | 0.330760i | 1.46779 | + | 0.165380i | ||||
\(5\) | −0.0969845 | − | 3.45666i | −0.0433728 | − | 1.54586i | −0.655555 | − | 0.755148i | \(-0.727565\pi\) |
0.612182 | − | 0.790717i | \(-0.290292\pi\) | |||||||
\(6\) | 2.99803 | − | 4.48687i | 1.22394 | − | 1.83176i | ||||
\(7\) | 3.43548 | − | 0.683360i | 1.29849 | − | 0.258286i | 0.503019 | − | 0.864276i | \(-0.332223\pi\) |
0.795472 | + | 0.605990i | \(0.207223\pi\) | |||||||
\(8\) | −2.09374 | − | 0.355740i | −0.740247 | − | 0.125773i | ||||
\(9\) | −1.39212 | − | 2.51885i | −0.464039 | − | 0.839616i | ||||
\(10\) | −0.215867 | + | 7.69380i | −0.0682632 | + | 2.43299i | ||||
\(11\) | 5.26838 | − | 1.67918i | 1.58848 | − | 0.506293i | 0.626498 | − | 0.779423i | \(-0.284488\pi\) |
0.961977 | + | 0.273130i | \(0.0880590\pi\) | |||||||
\(12\) | −4.30674 | + | 5.72266i | −1.24325 | + | 1.65199i | ||||
\(13\) | 0.600812 | − | 0.956187i | 0.166635 | − | 0.265199i | −0.752959 | − | 0.658067i | \(-0.771374\pi\) |
0.919595 | + | 0.392868i | \(0.128517\pi\) | |||||||
\(14\) | −7.71993 | + | 1.08987i | −2.06324 | + | 0.291281i | ||||
\(15\) | 7.33769 | + | 4.05540i | 1.89458 | + | 1.04710i | ||||
\(16\) | −1.15168 | − | 0.262863i | −0.287919 | − | 0.0657156i | ||||
\(17\) | 3.38903 | − | 2.34830i | 0.821959 | − | 0.569546i | ||||
\(18\) | 2.77933 | + | 5.77135i | 0.655095 | + | 1.36032i | ||||
\(19\) | −5.88103 | − | 3.25033i | −1.34920 | − | 0.745677i | −0.366419 | − | 0.930450i | \(-0.619416\pi\) |
−0.982781 | + | 0.184773i | \(0.940845\pi\) | |||||||
\(20\) | 0.858619 | − | 10.1794i | 0.191993 | − | 2.27617i | ||||
\(21\) | −2.80484 | + | 8.01577i | −0.612066 | + | 1.74918i | ||||
\(22\) | −11.9174 | + | 3.07413i | −2.54080 | + | 0.655407i | ||||
\(23\) | −1.00013 | − | 3.13788i | −0.208542 | − | 0.654293i | −0.999120 | − | 0.0419325i | \(-0.986649\pi\) |
0.790578 | − | 0.612361i | \(-0.209780\pi\) | |||||||
\(24\) | 3.32193 | − | 3.93395i | 0.678086 | − | 0.803015i | ||||
\(25\) | −6.94695 | + | 0.390132i | −1.38939 | + | 0.0780264i | ||||
\(26\) | −1.45451 | + | 2.04994i | −0.285253 | + | 0.402027i | ||||
\(27\) | −0.295795 | − | 0.00829919i | −0.0569257 | − | 0.00159718i | ||||
\(28\) | 10.3112 | − | 0.869735i | 1.94862 | − | 0.164365i | ||||
\(29\) | 1.14898 | − | 1.52673i | 0.213360 | − | 0.283506i | −0.679656 | − | 0.733531i | \(-0.737871\pi\) |
0.893016 | + | 0.450025i | \(0.148585\pi\) | |||||||
\(30\) | −15.8004 | − | 9.92802i | −2.88474 | − | 1.81260i | ||||
\(31\) | −6.15790 | + | 0.869351i | −1.10599 | + | 0.156140i | −0.668954 | − | 0.743304i | \(-0.733258\pi\) |
−0.437037 | + | 0.899444i | \(0.643972\pi\) | |||||||
\(32\) | 6.60803 | + | 1.90374i | 1.16815 | + | 0.336537i | ||||
\(33\) | −2.98312 | + | 13.0699i | −0.519294 | + | 2.27517i | ||||
\(34\) | −7.82447 | + | 4.79565i | −1.34189 | + | 0.822447i | ||||
\(35\) | −2.69533 | − | 11.8090i | −0.455594 | − | 1.99609i | ||||
\(36\) | −3.25353 | − | 7.85472i | −0.542255 | − | 1.30912i | ||||
\(37\) | −2.12406 | + | 1.41925i | −0.349193 | + | 0.233323i | −0.717780 | − | 0.696270i | \(-0.754842\pi\) |
0.368587 | + | 0.929593i | \(0.379842\pi\) | |||||||
\(38\) | 12.6637 | + | 7.95714i | 2.05432 | + | 1.29082i | ||||
\(39\) | 1.25664 | + | 2.43245i | 0.201223 | + | 0.389504i | ||||
\(40\) | −1.02661 | + | 7.27183i | −0.162322 | + | 1.14978i | ||||
\(41\) | −1.36927 | + | 5.30823i | −0.213844 | + | 0.829006i | 0.768177 | + | 0.640237i | \(0.221164\pi\) |
−0.982022 | + | 0.188769i | \(0.939550\pi\) | |||||||
\(42\) | 7.23354 | − | 17.4633i | 1.11616 | − | 2.69465i | ||||
\(43\) | −5.18729 | − | 4.01149i | −0.791054 | − | 0.611746i | ||||
\(44\) | 16.0211 | − | 3.18680i | 2.41528 | − | 0.480428i | ||||
\(45\) | −8.57178 | + | 5.05636i | −1.27781 | + | 0.753758i | ||||
\(46\) | 1.83097 | + | 7.09810i | 0.269962 | + | 1.04656i | ||||
\(47\) | 0.666411 | − | 5.91456i | 0.0972060 | − | 0.862727i | −0.846600 | − | 0.532229i | \(-0.821355\pi\) |
0.943807 | − | 0.330499i | \(-0.107217\pi\) | |||||||
\(48\) | 1.96755 | − | 2.08114i | 0.283991 | − | 0.300387i | ||||
\(49\) | 4.86841 | − | 2.01656i | 0.695488 | − | 0.288080i | ||||
\(50\) | 15.4868 | 2.19017 | ||||||||
\(51\) | 0.729126 | + | 9.96963i | 0.102098 | + | 1.39603i | ||||
\(52\) | 2.08000 | − | 2.60824i | 0.288444 | − | 0.361697i | ||||
\(53\) | 9.15542 | − | 1.55557i | 1.25759 | − | 0.213674i | 0.499784 | − | 0.866150i | \(-0.333413\pi\) |
0.757809 | + | 0.652476i | \(0.226270\pi\) | |||||||
\(54\) | 0.656306 | + | 0.0553587i | 0.0893119 | + | 0.00753337i | ||||
\(55\) | −6.31531 | − | 18.0481i | −0.851556 | − | 2.43361i | ||||
\(56\) | −7.43610 | + | 0.208637i | −0.993690 | + | 0.0278803i | ||||
\(57\) | 14.0316 | − | 8.27704i | 1.85853 | − | 1.09632i | ||||
\(58\) | −2.74391 | + | 3.24944i | −0.360292 | + | 0.426672i | ||||
\(59\) | −2.89879 | + | 4.08546i | −0.377390 | + | 0.531881i | −0.959678 | − | 0.281101i | \(-0.909300\pi\) |
0.582288 | + | 0.812982i | \(0.302158\pi\) | |||||||
\(60\) | 20.1990 | + | 14.3319i | 2.60768 | + | 1.85024i | ||||
\(61\) | 5.66786 | + | 7.53127i | 0.725695 | + | 0.964280i | 0.999997 | + | 0.00263648i | \(0.000839219\pi\) |
−0.274301 | + | 0.961644i | \(0.588446\pi\) | |||||||
\(62\) | 13.7931 | − | 1.16344i | 1.75173 | − | 0.147757i | ||||
\(63\) | −6.50388 | − | 7.70214i | −0.819411 | − | 0.970378i | ||||
\(64\) | −12.2174 | − | 4.27505i | −1.52717 | − | 0.534381i | ||||
\(65\) | −3.36348 | − | 1.98407i | −0.417189 | − | 0.246093i | ||||
\(66\) | 8.26049 | − | 28.6728i | 1.01680 | − | 3.52938i | ||||
\(67\) | 10.6200 | − | 8.46915i | 1.29744 | − | 1.03467i | 0.300719 | − | 0.953713i | \(-0.402773\pi\) |
0.996717 | − | 0.0809584i | \(-0.0257981\pi\) | |||||||
\(68\) | 10.7255 | − | 5.77265i | 1.30065 | − | 0.700037i | ||||
\(69\) | 7.78451 | + | 1.77676i | 0.937145 | + | 0.213897i | ||||
\(70\) | 4.51603 | + | 26.5795i | 0.539769 | + | 3.17685i | ||||
\(71\) | −14.2263 | − | 4.53433i | −1.68835 | − | 0.538126i | −0.703376 | − | 0.710818i | \(-0.748325\pi\) |
−0.984976 | + | 0.172692i | \(0.944753\pi\) | |||||||
\(72\) | 2.01867 | + | 5.76903i | 0.237903 | + | 0.679887i | ||||
\(73\) | 0.367317 | + | 13.0917i | 0.0429912 | + | 1.53226i | 0.663567 | + | 0.748117i | \(0.269042\pi\) |
−0.620576 | + | 0.784147i | \(0.713101\pi\) | |||||||
\(74\) | 4.89740 | − | 2.88890i | 0.569311 | − | 0.335828i | ||||
\(75\) | 7.74259 | − | 14.9872i | 0.894037 | − | 1.73058i | ||||
\(76\) | −16.1891 | − | 11.4868i | −1.85702 | − | 1.31763i | ||||
\(77\) | 16.9519 | − | 9.36900i | 1.93185 | − | 1.06770i | ||||
\(78\) | −2.48904 | − | 5.56245i | −0.281828 | − | 0.629823i | ||||
\(79\) | −2.48144 | − | 1.65805i | −0.279184 | − | 0.186545i | 0.408093 | − | 0.912941i | \(-0.366194\pi\) |
−0.687277 | + | 0.726396i | \(0.741194\pi\) | |||||||
\(80\) | −0.796931 | + | 4.00644i | −0.0890996 | + | 0.447934i | ||||
\(81\) | 4.97517 | − | 7.91794i | 0.552797 | − | 0.879771i | ||||
\(82\) | 3.70539 | − | 11.6255i | 0.409192 | − | 1.28383i | ||||
\(83\) | 2.35708 | − | 2.63758i | 0.258723 | − | 0.289512i | −0.602094 | − | 0.798425i | \(-0.705667\pi\) |
0.860818 | + | 0.508913i | \(0.169953\pi\) | |||||||
\(84\) | −10.8851 | + | 22.6032i | −1.18766 | + | 2.46621i | ||||
\(85\) | −8.44595 | − | 11.4870i | −0.916092 | − | 1.24594i | ||||
\(86\) | 11.0270 | + | 9.56207i | 1.18908 | + | 1.03110i | ||||
\(87\) | 1.77281 | + | 4.27994i | 0.190065 | + | 0.458857i | ||||
\(88\) | −11.6279 | + | 1.64159i | −1.23954 | + | 0.174994i | ||||
\(89\) | −11.7780 | − | 4.12129i | −1.24846 | − | 0.436855i | −0.376494 | − | 0.926419i | \(-0.622870\pi\) |
−0.871968 | + | 0.489564i | \(0.837156\pi\) | |||||||
\(90\) | 19.6800 | − | 10.1669i | 2.07446 | − | 1.07169i | ||||
\(91\) | 1.41066 | − | 3.69554i | 0.147877 | − | 0.387398i | ||||
\(92\) | −1.89808 | − | 9.54229i | −0.197888 | − | 0.994853i | ||||
\(93\) | 5.76993 | − | 13.9298i | 0.598313 | − | 1.44446i | ||||
\(94\) | −2.21910 | + | 13.0607i | −0.228883 | + | 1.34711i | ||||
\(95\) | −10.6649 | + | 20.6439i | −1.09420 | + | 2.11802i | ||||
\(96\) | −12.1152 | + | 11.4539i | −1.23650 | + | 1.16901i | ||||
\(97\) | 0.880255 | − | 0.743309i | 0.0893764 | − | 0.0754716i | −0.599379 | − | 0.800465i | \(-0.704586\pi\) |
0.688756 | + | 0.724994i | \(0.258157\pi\) | |||||||
\(98\) | −11.0707 | + | 3.87381i | −1.11831 | + | 0.391313i | ||||
\(99\) | −11.5638 | − | 10.9326i | −1.16221 | − | 1.09877i | ||||
\(100\) | −20.5223 | − | 1.15251i | −2.05223 | − | 0.115251i | ||||
\(101\) | −8.34467 | + | 6.65465i | −0.830326 | + | 0.662163i | −0.943485 | − | 0.331414i | \(-0.892474\pi\) |
0.113160 | + | 0.993577i | \(0.463903\pi\) | |||||||
\(102\) | −0.376108 | − | 22.2464i | −0.0372403 | − | 2.20272i | ||||
\(103\) | −2.18359 | + | 9.56694i | −0.215156 | + | 0.942659i | 0.745847 | + | 0.666118i | \(0.232045\pi\) |
−0.961002 | + | 0.276541i | \(0.910812\pi\) | |||||||
\(104\) | −1.59810 | + | 1.78827i | −0.156706 | + | 0.175354i | ||||
\(105\) | 27.9798 | + | 8.91796i | 2.73055 | + | 0.870304i | ||||
\(106\) | −20.5401 | + | 2.31432i | −1.99503 | + | 0.224786i | ||||
\(107\) | −3.48349 | − | 13.5044i | −0.336761 | − | 1.30552i | −0.883586 | − | 0.468269i | \(-0.844878\pi\) |
0.546825 | − | 0.837247i | \(-0.315836\pi\) | |||||||
\(108\) | −0.865582 | − | 0.122200i | −0.0832907 | − | 0.0117587i | ||||
\(109\) | 6.86534 | + | 3.54672i | 0.657581 | + | 0.339714i | 0.755186 | − | 0.655511i | \(-0.227547\pi\) |
−0.0976049 | + | 0.995225i | \(0.531118\pi\) | |||||||
\(110\) | 11.7820 | + | 40.8963i | 1.12337 | + | 3.89931i | ||||
\(111\) | −0.347270 | − | 6.18371i | −0.0329614 | − | 0.586932i | ||||
\(112\) | −4.13619 | − | 0.116050i | −0.390834 | − | 0.0109657i | ||||
\(113\) | −3.14040 | − | 3.32171i | −0.295424 | − | 0.312480i | 0.561953 | − | 0.827169i | \(-0.310050\pi\) |
−0.857377 | + | 0.514689i | \(0.827907\pi\) | |||||||
\(114\) | −32.2153 | + | 16.6428i | −3.01724 | + | 1.55874i | ||||
\(115\) | −10.7496 | + | 3.76144i | −1.00240 | + | 0.350756i | ||||
\(116\) | 3.87790 | − | 4.10179i | 0.360054 | − | 0.380841i | ||||
\(117\) | −3.24489 | − | 0.182229i | −0.299990 | − | 0.0168471i | ||||
\(118\) | 6.95182 | − | 8.71730i | 0.639967 | − | 0.802493i | ||||
\(119\) | 10.0382 | − | 10.3835i | 0.920201 | − | 0.951851i | ||||
\(120\) | −13.9205 | − | 11.1012i | −1.27076 | − | 1.01340i | ||||
\(121\) | 15.9650 | − | 11.3277i | 1.45136 | − | 1.02980i | ||||
\(122\) | −11.6557 | − | 17.4440i | −1.05526 | − | 1.57931i | ||||
\(123\) | −9.39801 | − | 9.39801i | −0.847390 | − | 0.847390i | ||||
\(124\) | −18.3645 | + | 0.515259i | −1.64918 | + | 0.0462716i | ||||
\(125\) | 0.569058 | + | 6.74647i | 0.0508981 | + | 0.603423i | ||||
\(126\) | 13.4923 | + | 17.9281i | 1.20199 | + | 1.59716i | ||||
\(127\) | 5.21506 | + | 5.83566i | 0.462762 | + | 0.517831i | 0.930627 | − | 0.365969i | \(-0.119262\pi\) |
−0.467865 | + | 0.883800i | \(0.654977\pi\) | |||||||
\(128\) | 13.9104 | + | 5.76186i | 1.22951 | + | 0.509282i | ||||
\(129\) | 14.7665 | − | 5.89078i | 1.30012 | − | 0.518654i | ||||
\(130\) | 7.22702 | + | 4.82894i | 0.633852 | + | 0.423526i | ||||
\(131\) | 7.70577 | − | 10.2392i | 0.673257 | − | 0.894601i | −0.325444 | − | 0.945561i | \(-0.605514\pi\) |
0.998701 | + | 0.0509599i | \(0.0162281\pi\) | |||||||
\(132\) | −13.0802 | + | 37.3809i | −1.13848 | + | 3.25359i | ||||
\(133\) | −22.4253 | − | 7.14759i | −1.94452 | − | 0.619775i | ||||
\(134\) | −24.6576 | + | 17.4955i | −2.13010 | + | 1.51138i | ||||
\(135\) | 1.02327i | 0.0880687i | ||||||||
\(136\) | −7.93111 | + | 3.71110i | −0.680087 | + | 0.318225i | ||||
\(137\) | −1.16787 | + | 0.266560i | −0.0997782 | + | 0.0227737i | −0.272119 | − | 0.962264i | \(-0.587724\pi\) |
0.172340 | + | 0.985037i | \(0.444867\pi\) | |||||||
\(138\) | −17.0777 | − | 4.92000i | −1.45375 | − | 0.418818i | ||||
\(139\) | 13.7352 | − | 5.24298i | 1.16500 | − | 0.444704i | 0.303684 | − | 0.952773i | \(-0.401783\pi\) |
0.861316 | + | 0.508069i | \(0.169640\pi\) | |||||||
\(140\) | −4.00640 | − | 35.5578i | −0.338603 | − | 3.00518i | ||||
\(141\) | 11.5299 | + | 8.67717i | 0.970997 | + | 0.730750i | ||||
\(142\) | 31.0491 | + | 11.8521i | 2.60558 | + | 0.994603i | ||||
\(143\) | 1.55969 | − | 6.04643i | 0.130428 | − | 0.505628i | ||||
\(144\) | 0.941158 | + | 3.26683i | 0.0784298 | + | 0.272236i | ||||
\(145\) | −5.38881 | − | 3.82356i | −0.447516 | − | 0.317530i | ||||
\(146\) | 0.817571 | − | 29.1393i | 0.0676626 | − | 2.41159i | ||||
\(147\) | −1.78592 | + | 12.6503i | −0.147300 | + | 1.04338i | ||||
\(148\) | −6.70477 | + | 3.46377i | −0.551129 | + | 0.284720i | ||||
\(149\) | −1.05438 | − | 9.35792i | −0.0863785 | − | 0.766631i | −0.959995 | − | 0.280016i | \(-0.909660\pi\) |
0.873617 | − | 0.486615i | \(-0.161768\pi\) | |||||||
\(150\) | −19.0767 | + | 32.3397i | −1.55761 | + | 2.64053i | ||||
\(151\) | 2.55623 | + | 2.28439i | 0.208023 | + | 0.185901i | 0.763843 | − | 0.645402i | \(-0.223310\pi\) |
−0.555820 | + | 0.831303i | \(0.687596\pi\) | |||||||
\(152\) | 11.1570 | + | 8.89745i | 0.904956 | + | 0.721678i | ||||
\(153\) | −10.6329 | − | 5.26733i | −0.859621 | − | 0.425838i | ||||
\(154\) | −38.8414 | + | 18.7050i | −3.12993 | + | 1.50729i | ||||
\(155\) | 3.60227 | + | 21.2014i | 0.289341 | + | 1.70294i | ||||
\(156\) | 2.88439 | + | 7.55630i | 0.230936 | + | 0.604988i | ||||
\(157\) | −0.0866343 | + | 0.768901i | −0.00691417 | + | 0.0613650i | −0.996695 | − | 0.0812286i | \(-0.974116\pi\) |
0.989781 | + | 0.142594i | \(0.0455442\pi\) | |||||||
\(158\) | 5.30756 | + | 3.99435i | 0.422247 | + | 0.317774i | ||||
\(159\) | −8.02931 | + | 21.0346i | −0.636766 | + | 1.66815i | ||||
\(160\) | 5.93971 | − | 23.0263i | 0.469575 | − | 1.82039i | ||||
\(161\) | −5.58024 | − | 10.0967i | −0.439785 | − | 0.795731i | ||||
\(162\) | −12.0444 | + | 16.9751i | −0.946301 | + | 1.33369i | ||||
\(163\) | −5.52566 | − | 2.85462i | −0.432803 | − | 0.223591i | 0.228757 | − | 0.973484i | \(-0.426534\pi\) |
−0.661560 | + | 0.749892i | \(0.730105\pi\) | |||||||
\(164\) | −5.77535 | + | 15.1298i | −0.450979 | + | 1.18144i | ||||
\(165\) | 45.4674 | + | 9.04404i | 3.53964 | + | 0.704077i | ||||
\(166\) | −5.56729 | + | 5.56729i | −0.432106 | + | 0.432106i | ||||
\(167\) | 12.4495 | + | 11.7700i | 0.963374 | + | 0.910790i | 0.996061 | − | 0.0886754i | \(-0.0282634\pi\) |
−0.0326864 | + | 0.999466i | \(0.510406\pi\) | |||||||
\(168\) | 8.72412 | − | 15.7851i | 0.673081 | − | 1.21785i | ||||
\(169\) | 5.08717 | + | 10.5636i | 0.391321 | + | 0.812586i | ||||
\(170\) | 17.3358 | + | 26.5814i | 1.32959 | + | 2.03870i | ||||
\(171\) | 19.3382i | 1.47883i | ||||||||
\(172\) | −13.9008 | − | 13.4918i | −1.05993 | − | 1.02874i | ||||
\(173\) | 6.48560 | + | 9.70639i | 0.493091 | + | 0.737963i | 0.991659 | − | 0.128888i | \(-0.0411407\pi\) |
−0.498568 | + | 0.866850i | \(0.666141\pi\) | |||||||
\(174\) | −3.40555 | − | 9.73251i | −0.258174 | − | 0.737820i | ||||
\(175\) | −23.5995 | + | 6.08756i | −1.78396 | + | 0.460176i | ||||
\(176\) | −6.50886 | + | 0.549015i | −0.490623 | + | 0.0413836i | ||||
\(177\) | −4.96055 | − | 11.0857i | −0.372858 | − | 0.833256i | ||||
\(178\) | 25.6597 | + | 10.6286i | 1.92328 | + | 0.796647i | ||||
\(179\) | 12.8753 | + | 5.33310i | 0.962341 | + | 0.398615i | 0.807856 | − | 0.589380i | \(-0.200628\pi\) |
0.154486 | + | 0.987995i | \(0.450628\pi\) | |||||||
\(180\) | −26.8356 | + | 12.0081i | −2.00020 | + | 0.895034i | ||||
\(181\) | −10.9257 | + | 3.48234i | −0.812103 | + | 0.258840i | −0.680769 | − | 0.732498i | \(-0.738354\pi\) |
−0.131333 | + | 0.991338i | \(0.541926\pi\) | |||||||
\(182\) | −3.59611 | + | 8.03651i | −0.266561 | + | 0.595705i | ||||
\(183\) | −22.7085 | + | 2.55864i | −1.67866 | + | 0.189140i | ||||
\(184\) | 0.977744 | + | 6.92568i | 0.0720802 | + | 0.510568i | ||||
\(185\) | 5.11187 | + | 7.20450i | 0.375832 | + | 0.529686i | ||||
\(186\) | −14.5609 | + | 30.2360i | −1.06766 | + | 2.21701i | ||||
\(187\) | 13.9114 | − | 18.0625i | 1.01731 | − | 1.32086i | ||||
\(188\) | 3.91260 | − | 17.1422i | 0.285356 | − | 1.25023i | ||||
\(189\) | −1.02187 | + | 0.173622i | −0.0743300 | + | 0.0126292i | ||||
\(190\) | 26.2769 | − | 44.5458i | 1.90633 | − | 3.23169i | ||||
\(191\) | 0.152614 | − | 1.35449i | 0.0110428 | − | 0.0980072i | −0.986982 | − | 0.160832i | \(-0.948582\pi\) |
0.998025 | + | 0.0628247i | \(0.0200109\pi\) | |||||||
\(192\) | 23.9766 | − | 20.2464i | 1.73036 | − | 1.46116i | ||||
\(193\) | 2.75354 | − | 19.5042i | 0.198204 | − | 1.40395i | −0.599247 | − | 0.800564i | \(-0.704533\pi\) |
0.797452 | − | 0.603383i | \(-0.206181\pi\) | |||||||
\(194\) | −2.04895 | + | 1.54199i | −0.147106 | + | 0.110709i | ||||
\(195\) | 8.28629 | − | 4.57967i | 0.593393 | − | 0.327957i | ||||
\(196\) | 14.9586 | − | 4.30950i | 1.06847 | − | 0.307821i | ||||
\(197\) | −2.68758 | + | 2.02261i | −0.191482 | + | 0.144105i | −0.692726 | − | 0.721201i | \(-0.743590\pi\) |
0.501243 | + | 0.865306i | \(0.332876\pi\) | |||||||
\(198\) | 24.3337 | + | 25.7386i | 1.72932 | + | 1.82916i | ||||
\(199\) | 10.0118 | + | 4.47998i | 0.709716 | + | 0.317577i | 0.731173 | − | 0.682192i | \(-0.238973\pi\) |
−0.0214569 | + | 0.999770i | \(0.506830\pi\) | |||||||
\(200\) | 14.6839 | + | 1.65447i | 1.03831 | + | 0.116989i | ||||
\(201\) | 4.60363 | + | 32.6090i | 0.324715 | + | 2.30006i | ||||
\(202\) | 19.3748 | − | 13.7471i | 1.36321 | − | 0.967246i | ||||
\(203\) | 2.90400 | − | 6.03022i | 0.203821 | − | 0.423238i | ||||
\(204\) | −1.15715 | + | 29.5078i | −0.0810167 | + | 2.06596i | ||||
\(205\) | 18.4815 | + | 4.21829i | 1.29081 | + | 0.294618i | ||||
\(206\) | 6.04654 | − | 20.9880i | 0.421282 | − | 1.46230i | ||||
\(207\) | −6.51154 | + | 6.88748i | −0.452583 | + | 0.478713i | ||||
\(208\) | −0.943287 | + | 0.943287i | −0.0654052 | + | 0.0654052i | ||||
\(209\) | −36.4414 | − | 7.24864i | −2.52070 | − | 0.501399i | ||||
\(210\) | −61.0663 | − | 23.3102i | −4.21397 | − | 1.60856i | ||||
\(211\) | −1.31727 | − | 1.11234i | −0.0906846 | − | 0.0765763i | 0.598693 | − | 0.800979i | \(-0.295687\pi\) |
−0.689377 | + | 0.724403i | \(0.742116\pi\) | |||||||
\(212\) | 27.3909 | − | 1.53824i | 1.88122 | − | 0.105647i | ||||
\(213\) | 26.9926 | − | 24.1221i | 1.84950 | − | 1.65282i | ||||
\(214\) | 6.05596 | + | 30.4454i | 0.413977 | + | 2.08120i | ||||
\(215\) | −13.3632 | + | 18.3197i | −0.911366 | + | 1.24940i | ||||
\(216\) | 0.616363 | + | 0.122602i | 0.0419382 | + | 0.00834203i | ||||
\(217\) | −20.5613 | + | 7.19470i | −1.39579 | + | 0.488408i | ||||
\(218\) | −14.8142 | − | 8.73865i | −1.00334 | − | 0.591856i | ||||
\(219\) | −27.7906 | − | 15.3593i | −1.87791 | − | 1.03789i | ||||
\(220\) | −12.5695 | − | 55.0705i | −0.847434 | − | 3.71285i | ||||
\(221\) | −0.209245 | − | 4.65143i | −0.0140753 | − | 0.312889i | ||||
\(222\) | 13.7854i | 0.925212i | ||||||||
\(223\) | −3.61072 | − | 5.08884i | −0.241792 | − | 0.340774i | 0.676668 | − | 0.736288i | \(-0.263423\pi\) |
−0.918460 | + | 0.395515i | \(0.870566\pi\) | |||||||
\(224\) | 24.0027 | + | 2.02461i | 1.60375 | + | 0.135275i | ||||
\(225\) | 10.6536 | + | 16.9552i | 0.710243 | + | 1.13035i | ||||
\(226\) | 6.56433 | + | 7.77373i | 0.436653 | + | 0.517101i | ||||
\(227\) | −3.31594 | − | 5.62133i | −0.220087 | − | 0.373101i | 0.730824 | − | 0.682566i | \(-0.239136\pi\) |
−0.950911 | + | 0.309465i | \(0.899850\pi\) | |||||||
\(228\) | 43.9286 | − | 19.6568i | 2.90924 | − | 1.30180i | ||||
\(229\) | −3.95155 | − | 4.42178i | −0.261126 | − | 0.292200i | 0.600626 | − | 0.799530i | \(-0.294918\pi\) |
−0.861752 | + | 0.507330i | \(0.830632\pi\) | |||||||
\(230\) | 24.3581 | − | 7.01746i | 1.60613 | − | 0.462717i | ||||
\(231\) | −1.31701 | + | 46.9399i | −0.0866527 | + | 3.08842i | ||||
\(232\) | −2.94878 | + | 2.78783i | −0.193597 | + | 0.183030i | ||||
\(233\) | 0.0579837 | + | 0.224784i | 0.00379864 | + | 0.0147261i | 0.970175 | − | 0.242406i | \(-0.0779367\pi\) |
−0.966376 | + | 0.257132i | \(0.917222\pi\) | |||||||
\(234\) | 7.18835 | + | 0.809932i | 0.469917 | + | 0.0529469i | ||||
\(235\) | −20.5092 | − | 1.72993i | −1.33788 | − | 0.112848i | ||||
\(236\) | −9.86092 | + | 11.0344i | −0.641891 | + | 0.718276i | ||||
\(237\) | 6.51900 | − | 3.13938i | 0.423454 | − | 0.203925i | ||||
\(238\) | −23.6037 | + | 21.8223i | −1.53000 | + | 1.41453i | ||||
\(239\) | −5.26913 | − | 6.60728i | −0.340832 | − | 0.427390i | 0.581645 | − | 0.813443i | \(-0.302409\pi\) |
−0.922476 | + | 0.386053i | \(0.873838\pi\) | |||||||
\(240\) | −7.38462 | − | 6.59930i | −0.476675 | − | 0.425983i | ||||
\(241\) | 10.0767 | + | 26.3982i | 0.649098 | + | 1.70046i | 0.711761 | + | 0.702422i | \(0.247898\pi\) |
−0.0626623 | + | 0.998035i | \(0.519959\pi\) | |||||||
\(242\) | −36.8925 | + | 23.1811i | −2.37154 | + | 1.49014i | ||||
\(243\) | 9.99842 | + | 19.3538i | 0.641399 | + | 1.24155i | ||||
\(244\) | 14.1474 | + | 23.9833i | 0.905694 | + | 1.53537i | ||||
\(245\) | −7.44273 | − | 16.6329i | −0.475499 | − | 1.06263i | ||||
\(246\) | 19.7122 | + | 22.0580i | 1.25681 | + | 1.40637i | ||||
\(247\) | −6.64132 | + | 3.67053i | −0.422577 | + | 0.233550i | ||||
\(248\) | 13.2023 | + | 0.370420i | 0.838345 | + | 0.0235217i | ||||
\(249\) | 2.60435 | + | 8.17105i | 0.165044 | + | 0.517819i | ||||
\(250\) | −0.422645 | − | 15.0636i | −0.0267304 | − | 0.952708i | ||||
\(251\) | 11.2565 | + | 11.2565i | 0.710503 | + | 0.710503i | 0.966640 | − | 0.256137i | \(-0.0824499\pi\) |
−0.256137 | + | 0.966640i | \(0.582450\pi\) | |||||||
\(252\) | −16.5451 | − | 24.7614i | −1.04224 | − | 1.55982i | ||||
\(253\) | −10.5381 | − | 14.8521i | −0.662528 | − | 0.933745i | ||||
\(254\) | −10.8611 | − | 13.6194i | −0.681485 | − | 0.854556i | ||||
\(255\) | 34.3909 | − | 3.48724i | 2.15364 | − | 0.218379i | ||||
\(256\) | −6.86998 | − | 3.30841i | −0.429374 | − | 0.206776i | ||||
\(257\) | 24.4315 | − | 10.1198i | 1.52399 | − | 0.631259i | 0.545607 | − | 0.838041i | \(-0.316299\pi\) |
0.978387 | + | 0.206782i | \(0.0662992\pi\) | |||||||
\(258\) | −33.5507 | + | 11.2482i | −2.08878 | + | 0.700279i | ||||
\(259\) | −6.32731 | + | 6.32731i | −0.393160 | + | 0.393160i | ||||
\(260\) | −9.21751 | − | 6.93689i | −0.571646 | − | 0.430207i | ||||
\(261\) | −5.44511 | − | 0.768722i | −0.337044 | − | 0.0475827i | ||||
\(262\) | −18.4023 | + | 21.7927i | −1.13690 | + | 1.34636i | ||||
\(263\) | −11.2615 | − | 1.91341i | −0.694415 | − | 0.117986i | −0.190433 | − | 0.981700i | \(-0.560989\pi\) |
−0.503982 | + | 0.863714i | \(0.668132\pi\) | |||||||
\(264\) | 10.8953 | − | 26.3037i | 0.670562 | − | 1.61888i | ||||
\(265\) | −6.26500 | − | 31.4963i | −0.384856 | − | 1.93480i | ||||
\(266\) | 48.9436 | + | 18.6827i | 3.00092 | + | 1.14551i | ||||
\(267\) | 23.1142 | − | 19.5182i | 1.41457 | − | 1.19450i | ||||
\(268\) | 33.9770 | − | 21.3492i | 2.07548 | − | 1.30411i | ||||
\(269\) | 0.402960 | − | 4.77730i | 0.0245689 | − | 0.291277i | −0.973477 | − | 0.228786i | \(-0.926524\pi\) |
0.998046 | − | 0.0624906i | \(-0.0199043\pi\) | |||||||
\(270\) | 0.127705 | − | 2.27399i | 0.00777186 | − | 0.138391i | ||||
\(271\) | −10.3928 | + | 2.37208i | −0.631316 | + | 0.144094i | −0.526193 | − | 0.850365i | \(-0.676381\pi\) |
−0.105124 | + | 0.994459i | \(0.533524\pi\) | |||||||
\(272\) | −4.52034 | + | 1.81363i | −0.274086 | + | 0.109968i | ||||
\(273\) | 5.97939 | + | 7.49792i | 0.361889 | + | 0.453795i | ||||
\(274\) | 2.62862 | − | 0.446621i | 0.158801 | − | 0.0269814i | ||||
\(275\) | −35.9440 | + | 13.7206i | −2.16751 | + | 0.827381i | ||||
\(276\) | 22.2643 | + | 7.79063i | 1.34016 | + | 0.468941i | ||||
\(277\) | −6.78065 | − | 13.1252i | −0.407410 | − | 0.788618i | 0.592446 | − | 0.805610i | \(-0.298162\pi\) |
−0.999856 | + | 0.0169920i | \(0.994591\pi\) | |||||||
\(278\) | −31.1778 | + | 9.93727i | −1.86992 | + | 0.595998i | ||||
\(279\) | 10.7623 | + | 14.3006i | 0.644321 | + | 0.856152i | ||||
\(280\) | 1.44237 | + | 25.6838i | 0.0861982 | + | 1.53490i | ||||
\(281\) | −0.949540 | − | 1.71806i | −0.0566448 | − | 0.102491i | 0.845399 | − | 0.534135i | \(-0.179362\pi\) |
−0.902044 | + | 0.431643i | \(0.857934\pi\) | |||||||
\(282\) | −24.5400 | − | 20.7222i | −1.46133 | − | 1.23399i | ||||
\(283\) | 17.2014 | + | 2.42843i | 1.02252 | + | 0.144355i | 0.630973 | − | 0.775805i | \(-0.282656\pi\) |
0.391543 | + | 0.920160i | \(0.371941\pi\) | |||||||
\(284\) | −40.2626 | − | 18.0164i | −2.38915 | − | 1.06907i | ||||
\(285\) | −29.9718 | − | 47.6998i | −1.77537 | − | 2.82549i | ||||
\(286\) | −4.22069 | + | 13.2423i | −0.249575 | + | 0.783032i | ||||
\(287\) | −1.07668 | + | 19.1720i | −0.0635543 | + | 1.13169i | ||||
\(288\) | −4.40393 | − | 19.2949i | −0.259504 | − | 1.13696i | ||||
\(289\) | 5.97099 | − | 15.9169i | 0.351235 | − | 0.936287i | ||||
\(290\) | 11.4983 | + | 9.16960i | 0.675204 | + | 0.538457i | ||||
\(291\) | 0.467884 | + | 2.75377i | 0.0274278 | + | 0.161429i | ||||
\(292\) | −3.25191 | + | 38.5531i | −0.190304 | + | 2.25615i | ||||
\(293\) | 27.9512 | + | 17.5629i | 1.63292 | + | 1.02603i | 0.957429 | + | 0.288670i | \(0.0932131\pi\) |
0.675495 | + | 0.737364i | \(0.263930\pi\) | |||||||
\(294\) | 5.54760 | − | 27.8897i | 0.323543 | − | 1.62656i | ||||
\(295\) | 14.4032 | + | 9.62389i | 0.838585 | + | 0.560325i | ||||
\(296\) | 4.95210 | − | 2.21592i | 0.287835 | − | 0.128798i | ||||
\(297\) | −1.57229 | + | 0.452970i | −0.0912337 | + | 0.0262840i | ||||
\(298\) | 1.17527 | + | 20.9276i | 0.0680815 | + | 1.21230i | ||||
\(299\) | −3.60129 | − | 0.928963i | −0.208268 | − | 0.0537233i | ||||
\(300\) | 27.6861 | − | 41.4352i | 1.59846 | − | 2.39226i | ||||
\(301\) | −20.5621 | − | 10.2366i | −1.18518 | − | 0.590028i | ||||
\(302\) | −5.39560 | − | 5.39560i | −0.310482 | − | 0.310482i | ||||
\(303\) | −3.61731 | − | 25.6226i | −0.207809 | − | 1.47198i | ||||
\(304\) | 5.91865 | + | 5.28923i | 0.339458 | + | 0.303358i | ||||
\(305\) | 25.4833 | − | 20.3223i | 1.45917 | − | 1.16365i | ||||
\(306\) | 22.9721 | + | 13.0325i | 1.31323 | + | 0.745021i | ||||
\(307\) | 9.04366 | 0.516149 | 0.258075 | − | 0.966125i | \(-0.416912\pi\) | ||||
0.258075 | + | 0.966125i | \(0.416912\pi\) | |||||||
\(308\) | 52.8626 | − | 21.8964i | 3.01213 | − | 1.24766i | ||||
\(309\) | −17.2880 | − | 16.3444i | −0.983480 | − | 0.929799i | ||||
\(310\) | −5.35932 | − | 47.5653i | −0.304389 | − | 2.70153i | ||||
\(311\) | −5.22068 | − | 2.33610i | −0.296038 | − | 0.132468i | 0.255019 | − | 0.966936i | \(-0.417918\pi\) |
−0.551057 | + | 0.834468i | \(0.685775\pi\) | |||||||
\(312\) | −1.76574 | − | 5.53995i | −0.0999654 | − | 0.313638i | ||||
\(313\) | −11.6584 | − | 3.00730i | −0.658969 | − | 0.169983i | −0.0946128 | − | 0.995514i | \(-0.530161\pi\) |
−0.564356 | + | 0.825531i | \(0.690876\pi\) | |||||||
\(314\) | 0.288486 | − | 1.69791i | 0.0162802 | − | 0.0958186i | ||||
\(315\) | −25.9929 | + | 23.2287i | −1.46453 | + | 1.30879i | ||||
\(316\) | −6.73605 | − | 5.68809i | −0.378933 | − | 0.319980i | ||||
\(317\) | 12.8401 | − | 12.1392i | 0.721171 | − | 0.681807i | −0.235862 | − | 0.971787i | \(-0.575791\pi\) |
0.957033 | + | 0.289979i | \(0.0936484\pi\) | |||||||
\(318\) | 20.4686 | − | 45.7428i | 1.14782 | − | 2.56513i | ||||
\(319\) | 3.48961 | − | 9.97272i | 0.195380 | − | 0.558365i | ||||
\(320\) | −13.5925 | + | 42.6459i | −0.759842 | + | 2.38398i | ||||
\(321\) | 32.4909 | + | 9.36046i | 1.81346 | + | 0.522450i | ||||
\(322\) | 11.1408 | + | 23.1342i | 0.620855 | + | 1.28922i | ||||
\(323\) | −27.5637 | + | 2.79496i | −1.53369 | + | 0.155516i | ||||
\(324\) | 17.2239 | − | 21.5981i | 0.956885 | − | 1.19990i | ||||
\(325\) | −3.80077 | + | 6.87698i | −0.210829 | + | 0.381466i | ||||
\(326\) | 11.9234 | + | 7.03342i | 0.660374 | + | 0.389545i | ||||
\(327\) | −15.8630 | + | 9.96740i | −0.877228 | + | 0.551199i | ||||
\(328\) | 4.75524 | − | 10.6269i | 0.262564 | − | 0.586774i | ||||
\(329\) | −1.75233 | − | 20.7748i | −0.0966092 | − | 1.14535i | ||||
\(330\) | −99.9132 | − | 25.7729i | −5.50004 | − | 1.41875i | ||||
\(331\) | −32.2930 | − | 5.48681i | −1.77499 | − | 0.301582i | −0.814552 | − | 0.580090i | \(-0.803017\pi\) |
−0.960434 | + | 0.278508i | \(0.910160\pi\) | |||||||
\(332\) | 7.79180 | − | 6.96318i | 0.427630 | − | 0.382154i | ||||
\(333\) | 6.53182 | + | 3.37442i | 0.357941 | + | 0.184917i | ||||
\(334\) | −26.1976 | − | 27.7101i | −1.43347 | − | 1.51623i | ||||
\(335\) | −30.3049 | − | 35.8883i | −1.65573 | − | 1.96078i | ||||
\(336\) | 5.33731 | − | 8.49428i | 0.291174 | − | 0.463401i | ||||
\(337\) | −4.85279 | + | 3.24253i | −0.264348 | + | 0.176632i | −0.680680 | − | 0.732581i | \(-0.738316\pi\) |
0.416332 | + | 0.909213i | \(0.363316\pi\) | |||||||
\(338\) | −9.98682 | − | 24.1103i | −0.543211 | − | 1.31143i | ||||
\(339\) | 10.8048 | − | 2.46612i | 0.586835 | − | 0.133941i | ||||
\(340\) | −20.9943 | − | 36.5144i | −1.13858 | − | 1.98027i | ||||
\(341\) | −30.9823 | + | 14.9203i | −1.67779 | + | 0.807979i | ||||
\(342\) | 2.41344 | − | 42.9752i | 0.130504 | − | 2.32383i | ||||
\(343\) | −5.03992 | + | 3.36757i | −0.272130 | + | 0.181832i | ||||
\(344\) | 9.43377 | + | 10.2443i | 0.508635 | + | 0.552337i | ||||
\(345\) | 5.38669 | − | 27.0807i | 0.290010 | − | 1.45798i | ||||
\(346\) | −13.2015 | − | 22.3798i | −0.709718 | − | 1.20315i | ||||
\(347\) | 24.8201 | − | 18.6790i | 1.33241 | − | 1.00274i | 0.334228 | − | 0.942492i | \(-0.391524\pi\) |
0.998183 | − | 0.0602503i | \(-0.0191899\pi\) | |||||||
\(348\) | 3.78858 | + | 13.1505i | 0.203089 | + | 0.704938i | ||||
\(349\) | 0.155108 | − | 0.912899i | 0.00830273 | − | 0.0488664i | −0.981417 | − | 0.191888i | \(-0.938539\pi\) |
0.989720 | + | 0.143022i | \(0.0456818\pi\) | |||||||
\(350\) | 53.2047 | − | 10.5831i | 2.84391 | − | 0.565689i | ||||
\(351\) | −0.185653 | + | 0.277849i | −0.00990940 | + | 0.0148305i | ||||
\(352\) | 38.0103 | − | 1.06647i | 2.02596 | − | 0.0568429i | ||||
\(353\) | 25.7129 | − | 2.89714i | 1.36856 | − | 0.154199i | 0.603090 | − | 0.797673i | \(-0.293936\pi\) |
0.765468 | + | 0.643474i | \(0.222507\pi\) | |||||||
\(354\) | 9.64028 | + | 25.2548i | 0.512375 | + | 1.34228i | ||||
\(355\) | −14.2939 | + | 49.6152i | −0.758642 | + | 2.63330i | ||||
\(356\) | −33.2119 | − | 15.9940i | −1.76023 | − | 0.847682i | ||||
\(357\) | 9.31775 | + | 33.7522i | 0.493148 | + | 1.78636i | ||||
\(358\) | −27.9470 | − | 13.4586i | −1.47704 | − | 0.711307i | ||||
\(359\) | −8.90559 | + | 16.1135i | −0.470019 | + | 0.850436i | 0.529978 | + | 0.848011i | \(0.322200\pi\) |
−0.999997 | + | 0.00242409i | \(0.999228\pi\) | |||||||
\(360\) | 19.7458 | − | 7.53736i | 1.04069 | − | 0.397254i | ||||
\(361\) | 13.9132 | + | 22.1428i | 0.732276 | + | 1.16541i | ||||
\(362\) | 24.7147 | − | 6.37523i | 1.29898 | − | 0.335075i | ||||
\(363\) | 3.98901 | + | 47.2917i | 0.209369 | + | 2.48217i | ||||
\(364\) | 5.36344 | − | 10.3819i | 0.281121 | − | 0.544162i | ||||
\(365\) | 45.2178 | − | 2.53938i | 2.36681 | − | 0.132917i | ||||
\(366\) | 50.7843 | − | 2.85198i | 2.65454 | − | 0.149076i | ||||
\(367\) | 2.90218 | − | 5.61771i | 0.151493 | − | 0.293242i | −0.800517 | − | 0.599310i | \(-0.795442\pi\) |
0.952010 | + | 0.306067i | \(0.0990133\pi\) | |||||||
\(368\) | 0.326997 | + | 3.87672i | 0.0170459 | + | 0.202088i | ||||
\(369\) | 15.2768 | − | 3.94069i | 0.795278 | − | 0.205144i | ||||
\(370\) | −10.4609 | − | 16.6485i | −0.543838 | − | 0.865513i | ||||
\(371\) | 30.3903 | − | 11.6006i | 1.57778 | − | 0.602272i | ||||
\(372\) | 21.5455 | − | 38.9836i | 1.11708 | − | 2.02121i | ||||
\(373\) | 19.3492 | + | 9.31809i | 1.00186 | + | 0.482472i | 0.861571 | − | 0.507638i | \(-0.169481\pi\) |
0.140293 | + | 0.990110i | \(0.455195\pi\) | |||||||
\(374\) | −33.1695 | + | 38.4040i | −1.71515 | + | 1.98582i | ||||
\(375\) | −14.7890 | − | 7.12201i | −0.763701 | − | 0.367779i | ||||
\(376\) | −3.49933 | + | 12.1465i | −0.180464 | + | 0.626406i | ||||
\(377\) | −0.769516 | − | 2.01592i | −0.0396321 | − | 0.103825i | ||||
\(378\) | 2.29256 | − | 0.258309i | 0.117916 | − | 0.0132860i | ||||
\(379\) | 15.6830 | − | 0.440023i | 0.805583 | − | 0.0226025i | 0.377123 | − | 0.926163i | \(-0.376913\pi\) |
0.428460 | + | 0.903561i | \(0.359056\pi\) | |||||||
\(380\) | −38.1358 | + | 57.0743i | −1.95633 | + | 2.92785i | ||||
\(381\) | −18.6100 | + | 3.70176i | −0.953419 | + | 0.189647i | ||||
\(382\) | −0.508194 | + | 2.99102i | −0.0260015 | + | 0.153034i | ||||
\(383\) | −9.96195 | − | 34.5787i | −0.509032 | − | 1.76689i | −0.632521 | − | 0.774543i | \(-0.717980\pi\) |
0.123489 | − | 0.992346i | \(-0.460592\pi\) | |||||||
\(384\) | −29.1668 | + | 21.9503i | −1.48841 | + | 1.12014i | ||||
\(385\) | −34.0295 | − | 57.6884i | −1.73430 | − | 2.94007i | ||||
\(386\) | −8.55332 | + | 43.0005i | −0.435353 | + | 2.18867i | ||||
\(387\) | −2.88300 | + | 18.6504i | −0.146551 | + | 0.948056i | ||||
\(388\) | 2.82991 | − | 1.89089i | 0.143667 | − | 0.0959953i | ||||
\(389\) | 0.299640 | − | 5.33559i | 0.0151924 | − | 0.270525i | −0.981626 | − | 0.190816i | \(-0.938887\pi\) |
0.996818 | − | 0.0797090i | \(-0.0253991\pi\) | |||||||
\(390\) | −18.9861 | + | 9.14322i | −0.961398 | + | 0.462985i | ||||
\(391\) | −10.7582 | − | 8.28575i | −0.544063 | − | 0.419028i | ||||
\(392\) | −10.9105 | + | 2.49026i | −0.551066 | + | 0.125777i | ||||
\(393\) | 11.8895 | + | 28.7039i | 0.599748 | + | 1.44792i | ||||
\(394\) | 6.22502 | − | 4.15942i | 0.313612 | − | 0.209549i | ||||
\(395\) | −5.49064 | + | 8.73831i | −0.276264 | + | 0.439672i | ||||
\(396\) | −30.3303 | − | 35.9184i | −1.52416 | − | 1.80497i | ||||
\(397\) | 22.9139 | + | 24.2368i | 1.15001 | + | 1.21641i | 0.972653 | + | 0.232263i | \(0.0746130\pi\) |
0.177361 | + | 0.984146i | \(0.443244\pi\) | |||||||
\(398\) | −21.6900 | − | 11.2053i | −1.08722 | − | 0.561671i | ||||
\(399\) | 42.5492 | − | 38.0243i | 2.13013 | − | 1.90360i | ||||
\(400\) | 8.10318 | + | 1.37679i | 0.405159 | + | 0.0688393i | ||||
\(401\) | 12.5881 | + | 3.24713i | 0.628619 | + | 0.162154i | 0.550561 | − | 0.834795i | \(-0.314414\pi\) |
0.0780577 | + | 0.996949i | \(0.475128\pi\) | |||||||
\(402\) | −6.16096 | − | 73.0413i | −0.307281 | − | 3.64297i | ||||
\(403\) | −2.86848 | + | 6.41042i | −0.142889 | + | 0.319326i | ||||
\(404\) | −26.6975 | + | 16.7752i | −1.32825 | + | 0.834595i | ||||
\(405\) | −27.8521 | − | 16.4295i | −1.38398 | − | 0.816391i | ||||
\(406\) | −7.20611 | + | 13.0385i | −0.357633 | + | 0.647088i | ||||
\(407\) | −8.80716 | + | 11.0438i | −0.436555 | + | 0.547423i | ||||
\(408\) | 2.02000 | − | 21.1331i | 0.100005 | − | 1.04625i | ||||
\(409\) | 12.8266 | + | 26.6348i | 0.634236 | + | 1.31700i | 0.932032 | + | 0.362375i | \(0.118034\pi\) |
−0.297797 | + | 0.954629i | \(0.596252\pi\) | |||||||
\(410\) | −40.5449 | − | 11.6808i | −2.00237 | − | 0.576873i | ||||
\(411\) | 0.881958 | − | 2.76711i | 0.0435038 | − | 0.136492i | ||||
\(412\) | −9.57446 | + | 27.3622i | −0.471700 | + | 1.34804i | ||||
\(413\) | −7.16690 | + | 16.0164i | −0.352660 | + | 0.788118i | ||||
\(414\) | 15.3301 | − | 14.4933i | 0.753433 | − | 0.712308i | ||||
\(415\) | −9.34580 | − | 7.89182i | −0.458767 | − | 0.387394i | ||||
\(416\) | 5.79052 | − | 5.17473i | 0.283904 | − | 0.253712i | ||||
\(417\) | −5.97055 | + | 35.1402i | −0.292379 | + | 1.72082i | ||||
\(418\) | 80.0787 | + | 20.6565i | 3.91678 | + | 1.01034i | ||||
\(419\) | 6.91215 | + | 21.6866i | 0.337681 | + | 1.05946i | 0.960778 | + | 0.277317i | \(0.0894452\pi\) |
−0.623098 | + | 0.782144i | \(0.714126\pi\) | |||||||
\(420\) | 79.1871 | + | 35.4340i | 3.86394 | + | 1.72900i | ||||
\(421\) | −0.355360 | − | 3.15391i | −0.0173192 | − | 0.153712i | 0.982076 | − | 0.188485i | \(-0.0603577\pi\) |
−0.999395 | + | 0.0347731i | \(0.988929\pi\) | |||||||
\(422\) | 2.78854 | + | 2.63633i | 0.135744 | + | 0.128335i | ||||
\(423\) | −15.8256 | + | 6.55518i | −0.769467 | + | 0.318724i | ||||
\(424\) | −19.7224 | −0.957804 | ||||||||
\(425\) | −22.6272 | + | 17.6357i | −1.09758 | + | 0.855456i | ||||
\(426\) | −62.9959 | + | 50.2376i | −3.05216 | + | 2.43402i | ||||
\(427\) | 24.6184 | + | 22.0004i | 1.19137 | + | 1.06467i | ||||
\(428\) | −5.75934 | − | 40.7953i | −0.278388 | − | 1.97191i | ||||
\(429\) | 10.7050 | + | 10.7050i | 0.516840 | + | 0.516840i | ||||
\(430\) | 31.9833 | − | 39.0440i | 1.54237 | − | 1.88287i | ||||
\(431\) | 11.3471 | − | 16.9822i | 0.546572 | − | 0.818003i | −0.450633 | − | 0.892709i | \(-0.648802\pi\) |
0.997206 | + | 0.0747060i | \(0.0238018\pi\) | |||||||
\(432\) | 0.338478 | + | 0.0873113i | 0.0162850 | + | 0.00420077i | ||||
\(433\) | 1.62513 | + | 28.9381i | 0.0780987 | + | 1.39068i | 0.755542 | + | 0.655100i | \(0.227374\pi\) |
−0.677443 | + | 0.735575i | \(0.736912\pi\) | |||||||
\(434\) | 46.5910 | − | 13.4226i | 2.23644 | − | 0.644308i | ||||
\(435\) | 14.6223 | − | 6.54308i | 0.701088 | − | 0.313717i | ||||
\(436\) | 18.9806 | + | 12.6824i | 0.909007 | + | 0.607379i | ||||
\(437\) | −4.31734 | + | 21.7047i | −0.206526 | + | 1.03828i | ||||
\(438\) | 59.8419 | + | 37.6011i | 2.85936 | + | 1.79665i | ||||
\(439\) | 0.0101226 | − | 0.120009i | 0.000483128 | − | 0.00572772i | −0.996216 | − | 0.0869140i | \(-0.972299\pi\) |
0.996699 | + | 0.0811863i | \(0.0258709\pi\) | |||||||
\(440\) | 6.80215 | + | 40.0346i | 0.324280 | + | 1.90858i | ||||
\(441\) | −11.8568 | − | 9.45550i | −0.564610 | − | 0.450262i | ||||
\(442\) | −0.115501 | + | 10.3629i | −0.00549380 | + | 0.492915i | ||||
\(443\) | 1.24792 | + | 5.46749i | 0.0592904 | + | 0.259768i | 0.995883 | − | 0.0906533i | \(-0.0288955\pi\) |
−0.936592 | + | 0.350421i | \(0.886038\pi\) | |||||||
\(444\) | 1.02589 | − | 18.2676i | 0.0486865 | − | 0.866943i | ||||
\(445\) | −13.1036 | + | 41.1121i | −0.621170 | + | 1.94890i | ||||
\(446\) | 7.38898 | + | 11.7595i | 0.349878 | + | 0.556828i | ||||
\(447\) | 20.8401 | + | 9.32533i | 0.985701 | + | 0.441073i | ||||
\(448\) | −44.8940 | − | 6.33798i | −2.12104 | − | 0.299441i | ||||
\(449\) | −1.97351 | − | 1.66648i | −0.0931359 | − | 0.0786463i | 0.597405 | − | 0.801940i | \(-0.296199\pi\) |
−0.690540 | + | 0.723294i | \(0.742627\pi\) | |||||||
\(450\) | −21.5595 | − | 39.0089i | −1.01632 | − | 1.83890i | ||||
\(451\) | 1.69965 | + | 30.2650i | 0.0800332 | + | 1.42512i | ||||
\(452\) | −8.12020 | − | 10.7899i | −0.381942 | − | 0.507512i | ||||
\(453\) | −7.91906 | + | 2.52403i | −0.372070 | + | 0.118589i | ||||
\(454\) | 6.66743 | + | 12.9061i | 0.312918 | + | 0.605712i | ||||
\(455\) | −12.9110 | − | 4.51776i | −0.605278 | − | 0.211796i | ||||
\(456\) | −32.3230 | + | 12.3383i | −1.51366 | + | 0.577795i | ||||
\(457\) | −9.09927 | + | 1.54603i | −0.425646 | + | 0.0723201i | −0.376380 | − | 0.926466i | \(-0.622831\pi\) |
−0.0492662 | + | 0.998786i | \(0.515688\pi\) | |||||||
\(458\) | 8.22964 | + | 10.3196i | 0.384546 | + | 0.482205i | ||||
\(459\) | −1.02194 | + | 0.666488i | −0.0477003 | + | 0.0311090i | ||||
\(460\) | −32.8004 | + | 7.48647i | −1.52932 | + | 0.349058i | ||||
\(461\) | −0.0247360 | + | 0.440465i | −0.00115207 | + | 0.0205145i | −0.998950 | − | 0.0458102i | \(-0.985413\pi\) |
0.997798 | + | 0.0663247i | \(0.0211273\pi\) | |||||||
\(462\) | 8.78493 | − | 104.150i | 0.408712 | − | 4.84549i | ||||
\(463\) | −13.1332 | + | 8.25211i | −0.610350 | + | 0.383508i | −0.801449 | − | 0.598063i | \(-0.795937\pi\) |
0.191100 | + | 0.981571i | \(0.438795\pi\) | |||||||
\(464\) | −1.72457 | + | 1.45627i | −0.0800613 | + | 0.0676057i | ||||
\(465\) | −48.7103 | − | 18.5937i | −2.25888 | − | 0.862262i | ||||
\(466\) | −0.100803 | − | 0.506772i | −0.00466962 | − | 0.0234758i | ||||
\(467\) | −3.34395 | + | 8.07300i | −0.154739 | + | 0.373574i | −0.982170 | − | 0.187994i | \(-0.939802\pi\) |
0.827431 | + | 0.561568i | \(0.189802\pi\) | |||||||
\(468\) | −9.46535 | − | 1.60823i | −0.437536 | − | 0.0743403i | ||||
\(469\) | 30.6973 | − | 36.3529i | 1.41747 | − | 1.67862i | ||||
\(470\) | 45.3616 | + | 6.40400i | 2.09238 | + | 0.295394i | ||||
\(471\) | −1.49891 | − | 1.12804i | −0.0690660 | − | 0.0519775i | ||||
\(472\) | 7.52266 | − | 7.52266i | 0.346258 | − | 0.346258i | ||||
\(473\) | −34.0646 | − | 12.4236i | −1.56629 | − | 0.571238i | ||||
\(474\) | −14.8789 | + | 6.16304i | −0.683411 | + | 0.283078i | ||||
\(475\) | 42.1232 | + | 20.2855i | 1.93275 | + | 0.930762i | ||||
\(476\) | 32.9024 | − | 27.1612i | 1.50808 | − | 1.24493i | ||||
\(477\) | −16.6637 | − | 20.8956i | −0.762976 | − | 0.956742i | ||||
\(478\) | 10.8849 | + | 15.3409i | 0.497866 | + | 0.701676i | ||||
\(479\) | −17.6734 | − | 26.4500i | −0.807516 | − | 1.20853i | −0.974900 | − | 0.222642i | \(-0.928532\pi\) |
0.167384 | − | 0.985892i | \(-0.446468\pi\) | |||||||
\(480\) | 40.7673 | + | 40.7673i | 1.86076 | + | 1.86076i | ||||
\(481\) | 0.0809089 | + | 2.88370i | 0.00368913 | + | 0.131486i | ||||
\(482\) | −19.0989 | − | 59.9220i | −0.869930 | − | 2.72937i | ||||
\(483\) | 27.9577 | + | 0.784418i | 1.27212 | + | 0.0356923i | ||||
\(484\) | 50.6131 | − | 27.9729i | 2.30060 | − | 1.27149i | ||||
\(485\) | −2.65474 | − | 2.97065i | −0.120545 | − | 0.134890i | ||||
\(486\) | −19.8040 | − | 44.2576i | −0.898329 | − | 2.00757i | ||||
\(487\) | −3.97359 | − | 6.73621i | −0.180061 | − | 0.305247i | 0.757652 | − | 0.652659i | \(-0.226346\pi\) |
−0.937713 | + | 0.347412i | \(0.887061\pi\) | |||||||
\(488\) | −9.18783 | − | 17.7848i | −0.415914 | − | 0.805079i | ||||
\(489\) | 12.7676 | − | 8.02240i | 0.577370 | − | 0.362785i | ||||
\(490\) | 14.4641 | + | 37.8919i | 0.653422 | + | 1.71178i | ||||
\(491\) | 19.2411 | + | 17.1949i | 0.868340 | + | 0.775996i | 0.975904 | − | 0.218202i | \(-0.0700192\pi\) |
−0.107564 | + | 0.994198i | \(0.534305\pi\) | |||||||
\(492\) | −24.4801 | − | 30.6971i | −1.10365 | − | 1.38393i | ||||
\(493\) | 0.308712 | − | 7.87227i | 0.0139037 | − | 0.354549i | ||||
\(494\) | 15.2170 | − | 7.32813i | 0.684646 | − | 0.329708i | ||||
\(495\) | −36.6688 | + | 41.0324i | −1.64814 | + | 1.84427i | ||||
\(496\) | 7.32042 | + | 0.617470i | 0.328697 | + | 0.0277252i | ||||
\(497\) | −51.9728 | − | 5.85593i | −2.33130 | − | 0.262674i | ||||
\(498\) | −4.76786 | − | 18.4835i | −0.213653 | − | 0.828264i | ||||
\(499\) | −3.63049 | + | 3.43232i | −0.162523 | + | 0.153652i | −0.763949 | − | 0.645276i | \(-0.776742\pi\) |
0.601426 | + | 0.798928i | \(0.294599\pi\) | |||||||
\(500\) | −0.560949 | + | 19.9930i | −0.0250864 | + | 0.894114i | ||||
\(501\) | −39.9136 | + | 11.4989i | −1.78321 | + | 0.513733i | ||||
\(502\) | −23.6104 | − | 26.4200i | −1.05378 | − | 1.17918i | ||||
\(503\) | 10.5469 | − | 4.71946i | 0.470265 | − | 0.210430i | −0.159527 | − | 0.987194i | \(-0.550997\pi\) |
0.629793 | + | 0.776763i | \(0.283140\pi\) | |||||||
\(504\) | 10.8774 | + | 18.4399i | 0.484520 | + | 0.821380i | ||||
\(505\) | 23.8122 | + | 28.1993i | 1.05963 | + | 1.25485i | ||||
\(506\) | 21.5653 | + | 34.3209i | 0.958693 | + | 1.52575i | ||||
\(507\) | −28.3254 | − | 2.38922i | −1.25798 | − | 0.106109i | ||||
\(508\) | 13.3790 | + | 18.8560i | 0.593598 | + | 0.836598i | ||||
\(509\) | − | 30.8357i | − | 1.36677i | −0.730058 | − | 0.683385i | \(-0.760507\pi\) | ||
0.730058 | − | 0.683385i | \(-0.239493\pi\) | |||||||
\(510\) | −76.8617 | + | 3.45763i | −3.40350 | + | 0.153107i | ||||
\(511\) | 10.2082 | + | 44.7252i | 0.451586 | + | 1.97853i | ||||
\(512\) | −11.5013 | − | 6.35657i | −0.508293 | − | 0.280923i | ||||
\(513\) | 1.71260 | + | 1.01024i | 0.0756132 | + | 0.0446031i | ||||
\(514\) | −55.5568 | + | 19.4402i | −2.45051 | + | 0.857469i | ||||
\(515\) | 33.2814 | + | 6.62008i | 1.46655 | + | 0.291716i | ||||
\(516\) | 45.2967 | − | 12.4087i | 1.99408 | − | 0.546261i | ||||
\(517\) | −6.42072 | − | 32.2792i | −0.282383 | − | 1.41964i | ||||
\(518\) | 14.8508 | − | 13.2715i | 0.652506 | − | 0.583115i | ||||
\(519\) | −28.2579 | + | 1.58693i | −1.24039 | + | 0.0696585i | ||||
\(520\) | 6.33643 | + | 5.35064i | 0.277871 | + | 0.234641i | ||||
\(521\) | 28.6104 | + | 10.9211i | 1.25344 | + | 0.478464i | 0.891196 | − | 0.453618i | \(-0.149867\pi\) |
0.362247 | + | 0.932082i | \(0.382010\pi\) | |||||||
\(522\) | 12.0047 | + | 2.38788i | 0.525430 | + | 0.104515i | ||||
\(523\) | 27.6792 | − | 27.6792i | 1.21033 | − | 1.21033i | 0.239407 | − | 0.970919i | \(-0.423047\pi\) |
0.970919 | − | 0.239407i | \(-0.0769531\pi\) | |||||||
\(524\) | 26.0076 | − | 27.5091i | 1.13615 | − | 1.20174i | ||||
\(525\) | 16.3579 | − | 56.7794i | 0.713915 | − | 2.47805i | ||||
\(526\) | 24.7876 | + | 5.65760i | 1.08079 | + | 0.246683i | ||||
\(527\) | −18.8278 | + | 17.4068i | −0.820151 | + | 0.758253i | ||||
\(528\) | 6.87116 | − | 14.2681i | 0.299029 | − | 0.620940i | ||||
\(529\) | 9.91187 | − | 7.03285i | 0.430951 | − | 0.305776i | ||||
\(530\) | 9.99188 | + | 70.7758i | 0.434019 | + | 3.07430i | ||||
\(531\) | 14.3261 | + | 1.61416i | 0.621700 | + | 0.0700487i | ||||
\(532\) | −63.4671 | − | 28.3997i | −2.75165 | − | 1.23128i | ||||
\(533\) | 4.25298 | + | 4.49853i | 0.184217 | + | 0.194853i | ||||
\(534\) | −53.8024 | + | 40.4905i | −2.32826 | + | 1.75219i | ||||
\(535\) | −46.3421 | + | 13.3509i | −2.00354 | + | 0.577211i | ||||
\(536\) | −25.2482 | + | 13.9542i | −1.09056 | + | 0.602730i | ||||
\(537\) | −26.9964 | + | 20.3169i | −1.16498 | + | 0.876738i | ||||
\(538\) | −1.49171 | + | 10.5663i | −0.0643121 | + | 0.455544i | ||||
\(539\) | 22.2625 | − | 18.7990i | 0.958912 | − | 0.809729i | ||||
\(540\) | −0.338455 | + | 3.00387i | −0.0145648 | + | 0.129266i | ||||
\(541\) | 15.1309 | − | 25.6506i | 0.650529 | − | 1.10281i | −0.336410 | − | 0.941716i | \(-0.609213\pi\) |
0.986939 | − | 0.161092i | \(-0.0515014\pi\) | |||||||
\(542\) | 23.3918 | − | 3.97443i | 1.00476 | − | 0.170716i | ||||
\(543\) | 6.18648 | − | 27.1047i | 0.265487 | − | 1.16318i | ||||
\(544\) | 26.8654 | − | 9.06581i | 1.15184 | − | 0.388693i | ||||
\(545\) | 11.5940 | − | 24.0751i | 0.496631 | − | 1.03127i | ||||
\(546\) | −12.3522 | − | 17.4088i | −0.528625 | − | 0.745028i | ||||
\(547\) | −3.54173 | − | 25.0872i | −0.151433 | − | 1.07265i | −0.908071 | − | 0.418817i | \(-0.862445\pi\) |
0.756637 | − | 0.653835i | \(-0.226841\pi\) | |||||||
\(548\) | −3.51655 | + | 0.396220i | −0.150220 | + | 0.0169257i | ||||
\(549\) | 11.0798 | − | 24.7609i | 0.472874 | − | 1.05677i | ||||
\(550\) | 81.5904 | − | 26.0052i | 3.47903 | − | 1.10887i | ||||
\(551\) | −11.7196 | + | 5.24416i | −0.499270 | + | 0.223409i | ||||
\(552\) | −15.6666 | − | 6.48934i | −0.666817 | − | 0.276205i | ||||
\(553\) | −9.65801 | − | 4.00048i | −0.410700 | − | 0.170118i | ||||
\(554\) | 13.4305 | + | 30.0143i | 0.570609 | + | 1.27519i | ||||
\(555\) | −21.3413 | + | 1.80012i | −0.905888 | + | 0.0764107i | ||||
\(556\) | 42.0548 | − | 10.8481i | 1.78352 | − | 0.460063i | ||||
\(557\) | −0.597533 | − | 1.70765i | −0.0253183 | − | 0.0723555i | 0.930531 | − | 0.366214i | \(-0.119346\pi\) |
−0.955849 | + | 0.293859i | \(0.905061\pi\) | |||||||
\(558\) | −22.1322 | − | 33.1231i | −0.936930 | − | 1.40221i | ||||
\(559\) | −6.95232 | + | 2.54987i | −0.294052 | + | 0.107848i | ||||
\(560\) | 14.3087i | 0.604651i | ||||||||
\(561\) | 20.5821 | + | 51.2994i | 0.868978 | + | 2.16586i | ||||
\(562\) | 1.89574 | + | 3.93654i | 0.0799668 | + | 0.166053i | ||||
\(563\) | −20.3103 | + | 36.7487i | −0.855976 | + | 1.54877i | −0.0201372 | + | 0.999797i | \(0.506410\pi\) |
−0.835839 | + | 0.548975i | \(0.815018\pi\) | |||||||
\(564\) | 30.9770 | + | 29.2861i | 1.30437 | + | 1.23317i | ||||
\(565\) | −11.1774 | + | 11.1774i | −0.470239 | + | 0.470239i | ||||
\(566\) | −37.9234 | − | 7.54343i | −1.59404 | − | 0.317074i | ||||
\(567\) | 11.6813 | − | 30.6018i | 0.490569 | − | 1.28515i | ||||
\(568\) | 28.1731 | + | 14.5546i | 1.18212 | + | 0.610696i | ||||
\(569\) | −9.98800 | + | 14.0768i | −0.418719 | + | 0.590129i | −0.969673 | − | 0.244407i | \(-0.921407\pi\) |
0.550954 | + | 0.834536i | \(0.314264\pi\) | |||||||
\(570\) | 60.6530 | + | 109.743i | 2.54047 | + | 4.59664i | ||||
\(571\) | 2.69020 | − | 10.4290i | 0.112581 | − | 0.436441i | −0.887103 | − | 0.461572i | \(-0.847286\pi\) |
0.999684 | + | 0.0251302i | \(0.00800002\pi\) | |||||||
\(572\) | 6.57851 | − | 17.2339i | 0.275061 | − | 0.720584i | ||||
\(573\) | 2.64046 | + | 1.98715i | 0.110307 | + | 0.0830143i | ||||
\(574\) | 4.78539 | − | 42.4715i | 0.199738 | − | 1.77272i | ||||
\(575\) | 8.17206 | + | 21.4085i | 0.340798 | + | 0.892796i | ||||
\(576\) | 6.23984 | + | 36.7251i | 0.259993 | + | 1.53021i | ||||
\(577\) | −17.1746 | + | 8.27084i | −0.714987 | + | 0.344320i | −0.755760 | − | 0.654849i | \(-0.772732\pi\) |
0.0407729 | + | 0.999168i | \(0.487018\pi\) | |||||||
\(578\) | −15.2557 | + | 34.6268i | −0.634554 | + | 1.44028i | ||||
\(579\) | 37.3371 | + | 29.7753i | 1.55168 | + | 1.23742i | ||||
\(580\) | −14.5546 | − | 13.0068i | −0.604346 | − | 0.540076i | ||||
\(581\) | 6.29530 | − | 10.6721i | 0.261173 | − | 0.442753i | ||||
\(582\) | −0.696100 | − | 6.17806i | −0.0288543 | − | 0.256089i | ||||
\(583\) | 45.6221 | − | 23.5689i | 1.88947 | − | 0.976125i | ||||
\(584\) | 3.88817 | − | 27.5412i | 0.160893 | − | 1.13966i | ||||
\(585\) | −0.315200 | + | 11.2341i | −0.0130319 | + | 0.464475i | ||||
\(586\) | −59.9237 | − | 42.5182i | −2.47543 | − | 1.75641i | ||||
\(587\) | 6.06993 | + | 21.0692i | 0.250533 | + | 0.869618i | 0.982181 | + | 0.187936i | \(0.0601798\pi\) |
−0.731649 | + | 0.681682i | \(0.761249\pi\) | |||||||
\(588\) | −9.42691 | + | 36.5451i | −0.388759 | + | 1.50709i | ||||
\(589\) | 39.0404 | + | 14.9025i | 1.60863 | + | 0.614048i | ||||
\(590\) | −30.8070 | − | 23.1846i | −1.26830 | − | 0.954496i | ||||
\(591\) | −0.913067 | − | 8.10369i | −0.0375585 | − | 0.333341i | ||||
\(592\) | 2.81930 | − | 1.07618i | 0.115872 | − | 0.0442308i | ||||
\(593\) | 8.54933 | + | 2.46302i | 0.351079 | + | 0.101144i | 0.447717 | − | 0.894176i | \(-0.352237\pi\) |
−0.0966377 | + | 0.995320i | \(0.530809\pi\) | |||||||
\(594\) | 3.55062 | − | 0.810406i | 0.145684 | − | 0.0332514i | ||||
\(595\) | −36.8657 | − | 33.6916i | −1.51134 | − | 1.38122i | ||||
\(596\) | − | 27.8196i | − | 1.13954i | ||||||
\(597\) | −21.6877 | + | 15.3882i | −0.887617 | + | 0.629798i | ||||
\(598\) | 7.88718 | + | 2.51387i | 0.322531 | + | 0.102800i | ||||
\(599\) | 4.94564 | − | 14.1338i | 0.202073 | − | 0.577492i | −0.797596 | − | 0.603191i | \(-0.793895\pi\) |
0.999670 | + | 0.0256992i | \(0.00818120\pi\) | |||||||
\(600\) | −21.5425 | + | 28.6250i | −0.879468 | + | 1.16861i | ||||
\(601\) | −32.6435 | − | 21.8117i | −1.33155 | − | 0.889717i | −0.332972 | − | 0.942937i | \(-0.608051\pi\) |
−0.998583 | + | 0.0532202i | \(0.983051\pi\) | |||||||
\(602\) | 44.4175 | + | 25.3149i | 1.81032 | + | 1.03176i | ||||
\(603\) | −36.1167 | − | 14.9600i | −1.47079 | − | 0.609220i | ||||
\(604\) | 6.74844 | + | 7.55150i | 0.274590 | + | 0.307266i | ||||
\(605\) | −40.7045 | − | 54.0868i | −1.65487 | − | 2.19894i | ||||
\(606\) | 4.84099 | + | 57.3924i | 0.196652 | + | 2.33141i | ||||
\(607\) | 9.47533 | − | 0.265852i | 0.384592 | − | 0.0107906i | 0.164773 | − | 0.986331i | \(-0.447311\pi\) |
0.219818 | + | 0.975541i | \(0.429454\pi\) | |||||||
\(608\) | −32.6742 | − | 32.6742i | −1.32512 | − | 1.32512i | ||||
\(609\) | 9.01519 | + | 13.4922i | 0.365314 | + | 0.546731i | ||||
\(610\) | −59.1676 | + | 41.9817i | −2.39563 | + | 1.69979i | ||||
\(611\) | −5.25504 | − | 4.19075i | −0.212596 | − | 0.169540i | ||||
\(612\) | −29.4715 | − | 18.9796i | −1.19132 | − | 0.767204i | ||||
\(613\) | −20.1858 | + | 25.3122i | −0.815298 | + | 1.02235i | 0.183926 | + | 0.982940i | \(0.441119\pi\) |
−0.999223 | + | 0.0394106i | \(0.987452\pi\) | |||||||
\(614\) | −20.0976 | − | 1.12866i | −0.811075 | − | 0.0455490i | ||||
\(615\) | −31.5742 | + | 33.3972i | −1.27320 | + | 1.34670i | ||||
\(616\) | −38.8258 | + | 13.5857i | −1.56434 | + | 0.547385i | ||||
\(617\) | 25.1785 | − | 13.0075i | 1.01365 | − | 0.523663i | 0.129851 | − | 0.991533i | \(-0.458550\pi\) |
0.883797 | + | 0.467870i | \(0.154979\pi\) | |||||||
\(618\) | 36.3792 | + | 38.4795i | 1.46338 | + | 1.54787i | ||||
\(619\) | −5.82447 | − | 0.163419i | −0.234105 | − | 0.00656836i | −0.0891993 | − | 0.996014i | \(-0.528431\pi\) |
−0.144906 | + | 0.989445i | \(0.546288\pi\) | |||||||
\(620\) | 3.56215 | + | 63.4299i | 0.143059 | + | 2.54741i | ||||
\(621\) | 0.269792 | + | 0.936468i | 0.0108264 | + | 0.0375792i | ||||
\(622\) | 11.3103 | + | 5.84305i | 0.453503 | + | 0.234285i | ||||
\(623\) | −43.2793 | − | 6.11002i | −1.73395 | − | 0.244793i | ||||
\(624\) | −0.807836 | − | 3.13172i | −0.0323393 | − | 0.125369i | ||||
\(625\) | −11.3057 | + | 1.27384i | −0.452226 | + | 0.0509537i | ||||
\(626\) | 25.5329 | + | 8.13808i | 1.02050 | + | 0.325263i | ||||
\(627\) | 60.0252 | − | 67.1682i | 2.39718 | − | 2.68244i | ||||
\(628\) | −0.508643 | + | 2.22851i | −0.0202971 | + | 0.0889273i | ||||
\(629\) | −3.86567 | + | 9.79781i | −0.154134 | + | 0.390664i | ||||
\(630\) | 60.6627 | − | 48.3769i | 2.41686 | − | 1.92738i | ||||
\(631\) | −19.6385 | − | 1.10287i | −0.781796 | − | 0.0439047i | −0.339304 | − | 0.940677i | \(-0.610191\pi\) |
−0.442493 | + | 0.896772i | \(0.645906\pi\) | |||||||
\(632\) | 4.60566 | + | 4.35426i | 0.183203 | + | 0.173203i | ||||
\(633\) | 3.94540 | − | 1.38056i | 0.156816 | − | 0.0548722i | ||||
\(634\) | −30.0494 | + | 25.3745i | −1.19341 | + | 1.00775i | ||||
\(635\) | 19.6661 | − | 18.5927i | 0.780425 | − | 0.737827i | ||||
\(636\) | −30.5281 | + | 59.0928i | −1.21052 | + | 2.34318i | ||||
\(637\) | 0.996791 | − | 5.86669i | 0.0394943 | − | 0.232447i | ||||
\(638\) | −8.99953 | + | 21.7268i | −0.356295 | + | 0.860172i | ||||
\(639\) | 8.38340 | + | 42.1462i | 0.331642 | + | 1.66728i | ||||
\(640\) | 18.5677 | − | 48.6422i | 0.733953 | − | 1.92275i | ||||
\(641\) | −14.6920 | + | 7.59006i | −0.580298 | + | 0.299789i | −0.723965 | − | 0.689837i | \(-0.757682\pi\) |
0.143666 | + | 0.989626i | \(0.454111\pi\) | |||||||
\(642\) | −71.0360 | − | 24.8566i | −2.80357 | − | 0.981010i | ||||
\(643\) | 0.105483 | − | 0.0148918i | 0.00415986 | − | 0.000587274i | −0.137710 | − | 0.990473i | \(-0.543974\pi\) |
0.141870 | + | 0.989885i | \(0.454689\pi\) | |||||||
\(644\) | −13.0416 | − | 31.4853i | −0.513913 | − | 1.24070i | ||||
\(645\) | −21.7945 | − | 50.4715i | −0.858159 | − | 1.98731i | ||||
\(646\) | 61.6034 | − | 2.77123i | 2.42375 | − | 0.109033i | ||||
\(647\) | −2.81003 | + | 5.83508i | −0.110474 | + | 0.229401i | −0.948875 | − | 0.315653i | \(-0.897776\pi\) |
0.838401 | + | 0.545054i | \(0.183491\pi\) | |||||||
\(648\) | −13.2334 | + | 14.8082i | −0.519858 | + | 0.581721i | ||||
\(649\) | −8.41167 | + | 26.3913i | −0.330187 | + | 1.03595i | ||||
\(650\) | 9.30467 | − | 14.8083i | 0.364959 | − | 0.580829i | ||||
\(651\) | 10.3034 | − | 51.7987i | 0.403822 | − | 2.03015i | ||||
\(652\) | −15.2768 | − | 10.2076i | −0.598286 | − | 0.399762i | ||||
\(653\) | 5.09065 | + | 11.3765i | 0.199213 | + | 0.445196i | 0.984831 | − | 0.173515i | \(-0.0555124\pi\) |
−0.785619 | + | 0.618711i | \(0.787655\pi\) | |||||||
\(654\) | 36.4962 | − | 20.1707i | 1.42711 | − | 0.788739i | ||||
\(655\) | −36.1407 | − | 25.6432i | −1.41213 | − | 1.00196i | ||||
\(656\) | 2.97229 | − | 5.75343i | 0.116048 | − | 0.224634i | ||||
\(657\) | 32.4646 | − | 19.1503i | 1.26656 | − | 0.747126i | ||||
\(658\) | 1.30147 | + | 46.3863i | 0.0507367 | + | 1.80833i | ||||
\(659\) | 4.81861 | + | 13.7708i | 0.187706 | + | 0.536434i | 0.998826 | − | 0.0484466i | \(-0.0154271\pi\) |
−0.811119 | + | 0.584881i | \(0.801141\pi\) | |||||||
\(660\) | 130.482 | + | 41.5883i | 5.07899 | + | 1.61882i | ||||
\(661\) | −1.01678 | − | 5.98432i | −0.0395481 | − | 0.232763i | 0.959203 | − | 0.282717i | \(-0.0912356\pi\) |
−0.998752 | + | 0.0499534i | \(0.984093\pi\) | |||||||
\(662\) | 71.0798 | + | 16.2235i | 2.76259 | + | 0.630544i | ||||
\(663\) | 9.97090 | + | 5.29269i | 0.387238 | + | 0.205551i | ||||
\(664\) | −5.87340 | + | 4.68388i | −0.227932 | + | 0.181770i | ||||
\(665\) | −22.5319 | + | 78.2099i | −0.873749 | + | 3.03285i | ||||
\(666\) | −14.0945 | − | 8.31411i | −0.546149 | − | 0.322165i | ||||
\(667\) | −5.93982 | − | 2.07843i | −0.229991 | − | 0.0804773i | ||||
\(668\) | 32.6535 | + | 38.6696i | 1.26340 | + | 1.49617i | ||||
\(669\) | 15.0742 | − | 1.27150i | 0.582804 | − | 0.0491589i | ||||
\(670\) | 62.8675 | + | 83.5362i | 2.42878 | + | 3.22729i | ||||
\(671\) | 42.5068 | + | 30.1602i | 1.64096 | + | 1.16432i | ||||
\(672\) | −33.7944 | + | 47.6288i | −1.30365 | + | 1.83732i | ||||
\(673\) | −6.81037 | + | 8.06510i | −0.262520 | + | 0.310887i | −0.879318 | − | 0.476235i | \(-0.842001\pi\) |
0.616798 | + | 0.787122i | \(0.288430\pi\) | |||||||
\(674\) | 11.1890 | − | 6.60021i | 0.430984 | − | 0.254231i | ||||
\(675\) | 2.05811 | − | 0.0577449i | 0.0792166 | − | 0.00222260i | ||||
\(676\) | 11.4398 | + | 32.6929i | 0.439990 | + | 1.25742i | ||||
\(677\) | −32.6183 | − | 2.75132i | −1.25362 | − | 0.105742i | −0.561473 | − | 0.827495i | \(-0.689765\pi\) |
−0.692151 | + | 0.721753i | \(0.743337\pi\) | |||||||
\(678\) | −24.3191 | + | 4.13198i | −0.933970 | + | 0.158688i | ||||
\(679\) | 2.51616 | − | 3.15516i | 0.0965612 | − | 0.121084i | ||||
\(680\) | 13.5972 | + | 27.0552i | 0.521429 | + | 1.03752i | ||||
\(681\) | 15.8231 | 0.606342 | ||||||||
\(682\) | 70.7138 | − | 29.2906i | 2.70777 | − | 1.12160i | ||||
\(683\) | −13.2636 | + | 14.0294i | −0.507518 | + | 0.536819i | −0.929030 | − | 0.370003i | \(-0.879356\pi\) |
0.421513 | + | 0.906823i | \(0.361499\pi\) | |||||||
\(684\) | −6.39632 | + | 56.7689i | −0.244569 | + | 2.17061i | ||||
\(685\) | 1.03467 | + | 4.01109i | 0.0395328 | + | 0.153256i | ||||
\(686\) | 11.6204 | − | 6.85472i | 0.443671 | − | 0.261715i | ||||
\(687\) | 14.1011 | − | 2.80489i | 0.537991 | − | 0.107013i | ||||
\(688\) | 4.91961 | + | 5.98348i | 0.187558 | + | 0.228118i | ||||
\(689\) | 4.01327 | − | 9.68890i | 0.152893 | − | 0.369118i | ||||
\(690\) | −15.3505 | + | 59.5090i | −0.584383 | + | 2.26547i | ||||
\(691\) | 4.51438 | − | 31.9769i | 0.171735 | − | 1.21646i | −0.695488 | − | 0.718538i | \(-0.744812\pi\) |
0.867223 | − | 0.497919i | \(-0.165902\pi\) | |||||||
\(692\) | 15.8285 | + | 30.6390i | 0.601709 | + | 1.16472i | ||||
\(693\) | −47.1982 | − | 29.6566i | −1.79291 | − | 1.12656i | ||||
\(694\) | −57.4886 | + | 38.4126i | −2.18224 | + | 1.45812i | ||||
\(695\) | −19.4553 | − | 46.9692i | −0.737981 | − | 1.78164i | ||||
\(696\) | −2.18925 | − | 9.59171i | −0.0829832 | − | 0.363573i | ||||
\(697\) | 7.82481 | + | 21.2052i | 0.296386 | + | 0.803203i | ||||
\(698\) | −0.458626 | + | 2.00937i | −0.0173592 | + | 0.0760558i | ||||
\(699\) | −0.540820 | − | 0.155808i | −0.0204557 | − | 0.00589319i | ||||
\(700\) | −71.2917 | + | 10.0647i | −2.69457 | + | 0.380411i | ||||
\(701\) | −3.63871 | − | 2.28635i | −0.137432 | − | 0.0863544i | 0.461561 | − | 0.887108i | \(-0.347290\pi\) |
−0.598993 | + | 0.800754i | \(0.704432\pi\) | |||||||
\(702\) | 0.447250 | − | 0.594291i | 0.0168804 | − | 0.0224301i | ||||
\(703\) | 17.1047 | − | 1.44276i | 0.645116 | − | 0.0544149i | ||||
\(704\) | −71.5443 | − | 2.00734i | −2.69643 | − | 0.0756545i | ||||
\(705\) | 28.8758 | − | 40.6966i | 1.08753 | − | 1.53272i | ||||
\(706\) | −57.5030 | + | 3.22930i | −2.16416 | + | 0.121536i | ||||
\(707\) | −24.1205 | + | 28.5644i | −0.907143 | + | 1.07427i | ||||
\(708\) | −10.8954 | − | 34.1838i | −0.409473 | − | 1.28471i | ||||
\(709\) | −15.1309 | + | 3.90304i | −0.568251 | + | 0.146582i | −0.522907 | − | 0.852390i | \(-0.675153\pi\) |
−0.0453438 | + | 0.998971i | \(0.514438\pi\) | |||||||
\(710\) | 37.9572 | − | 108.476i | 1.42451 | − | 4.07102i | ||||
\(711\) | −0.721907 | + | 8.55858i | −0.0270736 | + | 0.320972i | ||||
\(712\) | 23.1938 | + | 12.8188i | 0.869226 | + | 0.480404i | ||||
\(713\) | 8.88663 | + | 18.4533i | 0.332807 | + | 0.691081i | ||||
\(714\) | −16.4944 | − | 76.1702i | −0.617288 | − | 2.85060i | ||||
\(715\) | −21.0517 | − | 4.80491i | −0.787289 | − | 0.179694i | ||||
\(716\) | 36.0323 | + | 19.9143i | 1.34659 | + | 0.744234i | ||||
\(717\) | 20.2879 | − | 2.86418i | 0.757666 | − | 0.106965i | ||||
\(718\) | 21.8018 | − | 34.6973i | 0.813636 | − | 1.29489i | ||||
\(719\) | −13.3048 | + | 17.6790i | −0.496185 | + | 0.659315i | −0.975928 | − | 0.218095i | \(-0.930016\pi\) |
0.479742 | + | 0.877409i | \(0.340730\pi\) | |||||||
\(720\) | 11.2010 | − | 3.57009i | 0.417438 | − | 0.133049i | ||||
\(721\) | −0.964028 | + | 34.3592i | −0.0359023 | + | 1.27961i | ||||
\(722\) | −28.1558 | − | 50.9441i | −1.04785 | − | 1.89594i | ||||
\(723\) | −67.5374 | − | 11.4751i | −2.51174 | − | 0.426762i | ||||
\(724\) | −33.2251 | + | 6.60889i | −1.23480 | + | 0.245617i | ||||
\(725\) | −7.38628 | + | 11.0543i | −0.274320 | + | 0.410548i | ||||
\(726\) | −2.96267 | − | 105.594i | −0.109955 | − | 3.91895i | ||||
\(727\) | 24.3791 | + | 2.74687i | 0.904173 | + | 0.101876i | 0.551793 | − | 0.833981i | \(-0.313944\pi\) |
0.352380 | + | 0.935857i | \(0.385373\pi\) | |||||||
\(728\) | −4.26820 | + | 7.23565i | −0.158190 | + | 0.268171i | ||||
\(729\) | −24.7212 | − | 1.38831i | −0.915601 | − | 0.0514190i | ||||
\(730\) | −100.804 | −3.73092 | ||||||||
\(731\) | −27.0000 | − | 1.41372i | −0.998632 | − | 0.0522883i | ||||
\(732\) | −67.5089 | −2.49520 | ||||||||
\(733\) | 33.9943 | + | 1.90908i | 1.25561 | + | 0.0705135i | 0.671403 | − | 0.741092i | \(-0.265692\pi\) |
0.584206 | + | 0.811606i | \(0.301406\pi\) | |||||||
\(734\) | −7.15058 | + | 12.1220i | −0.263933 | + | 0.447431i | ||||
\(735\) | 43.9009 | + | 4.94644i | 1.61931 | + | 0.182452i | ||||
\(736\) | −0.635195 | − | 22.6392i | −0.0234136 | − | 0.834493i | ||||
\(737\) | 41.7288 | − | 62.4515i | 1.53710 | − | 2.30043i | ||||
\(738\) | −34.4413 | + | 6.85080i | −1.26780 | + | 0.252181i | ||||
\(739\) | −39.1732 | − | 6.65579i | −1.44101 | − | 0.244837i | −0.606171 | − | 0.795334i | \(-0.707295\pi\) |
−0.834837 | + | 0.550497i | \(0.814438\pi\) | |||||||
\(740\) | 12.6233 | + | 22.8402i | 0.464042 | + | 0.839621i | ||||
\(741\) | 0.515968 | − | 18.3898i | 0.0189546 | − | 0.675567i | ||||
\(742\) | −68.9838 | + | 21.9871i | −2.53247 | + | 0.807172i | ||||
\(743\) | −15.0091 | + | 19.9436i | −0.550631 | + | 0.731660i | −0.985658 | − | 0.168757i | \(-0.946025\pi\) |
0.435027 | + | 0.900418i | \(0.356739\pi\) | |||||||
\(744\) | −17.0361 | + | 27.1128i | −0.624574 | + | 0.994003i | ||||
\(745\) | −32.2449 | + | 4.55222i | −1.18136 | + | 0.166780i | ||||
\(746\) | −41.8367 | − | 23.1223i | −1.53175 | − | 0.846568i | ||||
\(747\) | −9.92498 | − | 2.26531i | −0.363136 | − | 0.0828835i | ||||
\(748\) | 46.8124 | − | 48.4225i | 1.71163 | − | 1.77050i | ||||
\(749\) | −21.1958 | − | 44.0135i | −0.774478 | − | 1.60822i | ||||
\(750\) | 31.9766 | + | 17.6729i | 1.16762 | + | 0.645321i | ||||
\(751\) | −1.34082 | + | 15.8961i | −0.0489273 | + | 0.580057i | 0.928856 | + | 0.370440i | \(0.120793\pi\) |
−0.977784 | + | 0.209617i | \(0.932778\pi\) | |||||||
\(752\) | −2.32221 | + | 6.63648i | −0.0846821 | + | 0.242008i | ||||
\(753\) | −37.3716 | + | 9.64012i | −1.36190 | + | 0.351305i | ||||
\(754\) | 1.45850 | + | 4.57599i | 0.0531154 | + | 0.166648i | ||||
\(755\) | 7.64844 | − | 9.05758i | 0.278355 | − | 0.329639i | ||||
\(756\) | −3.05720 | + | 0.171689i | −0.111189 | + | 0.00624426i | ||||
\(757\) | −1.85407 | + | 2.61306i | −0.0673872 | + | 0.0949734i | −0.847871 | − | 0.530203i | \(-0.822116\pi\) |
0.780484 | + | 0.625176i | \(0.214973\pi\) | |||||||
\(758\) | −34.9072 | − | 0.979400i | −1.26788 | − | 0.0355734i | ||||
\(759\) | 43.9952 | − | 3.71095i | 1.59693 | − | 0.134699i | ||||
\(760\) | 29.6734 | − | 39.4290i | 1.07637 | − | 1.43024i | ||||
\(761\) | 6.20563 | + | 3.89926i | 0.224954 | + | 0.141348i | 0.639794 | − | 0.768546i | \(-0.279020\pi\) |
−0.414840 | + | 0.909894i | \(0.636162\pi\) | |||||||
\(762\) | 41.8188 | − | 5.90383i | 1.51494 | − | 0.213873i | ||||
\(763\) | 26.0095 | + | 7.49320i | 0.941606 | + | 0.271272i | ||||
\(764\) | 0.896020 | − | 3.92572i | 0.0324169 | − | 0.142028i | ||||
\(765\) | −17.1761 | + | 37.2652i | −0.621004 | + | 1.34733i | ||||
\(766\) | 17.8229 | + | 78.0872i | 0.643967 | + | 2.82140i | ||||
\(767\) | 2.16484 | + | 5.22638i | 0.0781677 | + | 0.188714i | ||||
\(768\) | 15.3711 | − | 10.2706i | 0.554657 | − | 0.370610i | ||||
\(769\) | −4.31868 | − | 2.71361i | −0.155736 | − | 0.0978551i | 0.451910 | − | 0.892064i | \(-0.350743\pi\) |
−0.607645 | + | 0.794209i | \(0.707886\pi\) | |||||||
\(770\) | 68.4239 | + | 132.447i | 2.46583 | + | 4.77307i | ||||
\(771\) | −8.96240 | + | 63.4836i | −0.322773 | + | 2.28631i | ||||
\(772\) | 14.5345 | − | 56.3454i | 0.523107 | − | 2.02792i | ||||
\(773\) | −19.3645 | + | 46.7500i | −0.696492 | + | 1.68148i | 0.0347797 | + | 0.999395i | \(0.488927\pi\) |
−0.731272 | + | 0.682086i | \(0.761073\pi\) | |||||||
\(774\) | 8.73446 | − | 41.0869i | 0.313954 | − | 1.47684i | ||||
\(775\) | 42.4394 | − | 8.44173i | 1.52447 | − | 0.303236i | ||||
\(776\) | −2.10745 | + | 1.24315i | −0.0756529 | + | 0.0446265i | ||||
\(777\) | −5.41875 | − | 21.0067i | −0.194396 | − | 0.753613i | ||||
\(778\) | −1.33177 | + | 11.8198i | −0.0477464 | + | 0.423761i | ||||
\(779\) | 25.3062 | − | 26.7673i | 0.906689 | − | 0.959036i | ||||
\(780\) | 25.8398 | − | 10.7032i | 0.925213 | − | 0.383236i | ||||
\(781\) | −82.5635 | −2.95435 | ||||||||
\(782\) | 22.8737 | + | 19.7560i | 0.817961 | + | 0.706472i | ||||
\(783\) | −0.352533 | + | 0.442062i | −0.0125985 | + | 0.0157980i | ||||
\(784\) | −6.13691 | + | 1.04270i | −0.219175 | + | 0.0372394i | ||||
\(785\) | 2.66623 | + | 0.224894i | 0.0951618 | + | 0.00802680i | ||||
\(786\) | −22.8397 | − | 65.2722i | −0.814667 | − | 2.32818i | ||||
\(787\) | −26.2996 | + | 0.737896i | −0.937480 | + | 0.0263032i | −0.493512 | − | 0.869739i | \(-0.664287\pi\) |
−0.443968 | + | 0.896042i | \(0.646430\pi\) | |||||||
\(788\) | −8.55860 | + | 5.04859i | −0.304888 | + | 0.179849i | ||||
\(789\) | 17.8676 | − | 21.1594i | 0.636102 | − | 0.753296i | ||||
\(790\) | 13.2924 | − | 18.7338i | 0.472921 | − | 0.666520i | ||||
\(791\) | −13.0587 | − | 9.26566i | −0.464315 | − | 0.329449i | ||||
\(792\) | 20.3224 | + | 27.0037i | 0.722124 | + | 0.959535i | ||||
\(793\) | 10.6066 | − | 0.894658i | 0.376652 | − | 0.0317702i | ||||
\(794\) | −47.8965 | − | 56.7208i | −1.69978 | − | 2.01295i | ||||
\(795\) | 73.4880 | + | 25.7146i | 2.60635 | + | 0.912002i | ||||
\(796\) | 27.9085 | + | 16.4628i | 0.989191 | + | 0.583509i | ||||
\(797\) | 3.90148 | − | 13.5423i | 0.138198 | − | 0.479694i | −0.861404 | − | 0.507920i | \(-0.830414\pi\) |
0.999602 | + | 0.0282260i | \(0.00898582\pi\) | |||||||
\(798\) | −99.3022 | + | 79.1909i | −3.51526 | + | 2.80333i | ||||
\(799\) | −11.6307 | − | 21.6095i | −0.411464 | − | 0.764490i | ||||
\(800\) | −46.6484 | − | 10.6472i | −1.64927 | − | 0.376435i | ||||
\(801\) | 6.01541 | + | 35.4042i | 0.212544 | + | 1.25095i | ||||
\(802\) | −27.5691 | − | 8.78707i | −0.973500 | − | 0.310282i | ||||
\(803\) | 23.9185 | + | 68.3550i | 0.844064 | + | 2.41220i | ||||
\(804\) | 2.72854 | + | 97.2490i | 0.0962283 | + | 3.42971i | ||||
\(805\) | −34.3596 | + | 20.2682i | −1.21102 | + | 0.714361i | ||||
\(806\) | 7.17462 | − | 13.8878i | 0.252715 | − | 0.489178i | ||||
\(807\) | 9.47962 | + | 6.72615i | 0.333699 | + | 0.236772i | ||||
\(808\) | 19.8389 | − | 10.9646i | 0.697929 | − | 0.385732i | ||||
\(809\) | 6.37956 | + | 14.2569i | 0.224293 | + | 0.501247i | 0.989849 | − | 0.142123i | \(-0.0453929\pi\) |
−0.765556 | + | 0.643370i | \(0.777536\pi\) | |||||||
\(810\) | 59.8451 | + | 39.9872i | 2.10274 | + | 1.40501i | ||||
\(811\) | 7.23505 | − | 36.3730i | 0.254057 | − | 1.27723i | −0.617358 | − | 0.786683i | \(-0.711797\pi\) |
0.871414 | − | 0.490547i | \(-0.163203\pi\) | |||||||
\(812\) | 10.5195 | − | 16.7416i | 0.369161 | − | 0.587516i | ||||
\(813\) | 7.84844 | − | 24.6242i | 0.275257 | − | 0.863609i | ||||
\(814\) | 20.9504 | − | 23.4435i | 0.734310 | − | 0.821693i | ||||
\(815\) | −9.33156 | + | 19.3772i | −0.326870 | + | 0.678753i | ||||
\(816\) | 1.78092 | − | 11.6734i | 0.0623448 | − | 0.408652i | ||||
\(817\) | 17.4680 | + | 40.4521i | 0.611126 | + | 1.41524i | ||||
\(818\) | −25.1804 | − | 60.7910i | −0.880413 | − | 2.12551i | ||||
\(819\) | −11.2723 | + | 1.59138i | −0.393886 | + | 0.0556075i | ||||
\(820\) | 52.8587 | + | 18.4961i | 1.84591 | + | 0.645910i | ||||
\(821\) | −18.5097 | + | 9.56234i | −0.645993 | + | 0.333728i | −0.750572 | − | 0.660789i | \(-0.770222\pi\) |
0.104579 | + | 0.994517i | \(0.466651\pi\) | |||||||
\(822\) | −2.30531 | + | 6.03926i | −0.0804068 | + | 0.210643i | ||||
\(823\) | 8.52879 | + | 42.8771i | 0.297295 | + | 1.49460i | 0.783849 | + | 0.620952i | \(0.213254\pi\) |
−0.486554 | + | 0.873651i | \(0.661746\pi\) | |||||||
\(824\) | 7.97521 | − | 19.2539i | 0.277829 | − | 0.670740i | ||||
\(825\) | 15.6246 | − | 91.9596i | 0.543977 | − | 3.20162i | ||||
\(826\) | 17.9258 | − | 34.6988i | 0.623718 | − | 1.20732i | ||||
\(827\) | 13.0753 | − | 12.3616i | 0.454673 | − | 0.429855i | −0.425175 | − | 0.905111i | \(-0.639787\pi\) |
0.879848 | + | 0.475256i | \(0.157644\pi\) | |||||||
\(828\) | −21.3932 | + | 18.0650i | −0.743466 | + | 0.627801i | ||||
\(829\) | 41.4746 | − | 14.5126i | 1.44047 | − | 0.504043i | 0.506765 | − | 0.862084i | \(-0.330841\pi\) |
0.933706 | + | 0.358041i | \(0.116555\pi\) | |||||||
\(830\) | 19.7842 | + | 18.7043i | 0.686719 | + | 0.649235i | ||||
\(831\) | 35.7606 | + | 2.00827i | 1.24052 | + | 0.0696662i | ||||
\(832\) | −11.4281 | + | 9.11360i | −0.396198 | + | 0.315957i | ||||
\(833\) | 11.7637 | − | 18.2667i | 0.407588 | − | 0.632903i | ||||
\(834\) | 17.6538 | − | 77.3465i | 0.611303 | − | 2.67829i | ||||
\(835\) | 39.4775 | − | 44.1753i | 1.36617 | − | 1.52875i | ||||
\(836\) | −104.579 | − | 33.3323i | −3.61693 | − | 1.15282i | ||||
\(837\) | 1.82869 | − | 0.206044i | 0.0632087 | − | 0.00712191i | ||||
\(838\) | −12.6543 | − | 49.0566i | −0.437135 | − | 1.69463i | ||||
\(839\) | −12.8149 | − | 1.80916i | −0.442419 | − | 0.0624591i | −0.0849520 | − | 0.996385i | \(-0.527074\pi\) |
−0.357467 | + | 0.933926i | \(0.616359\pi\) | |||||||
\(840\) | −55.4098 | − | 28.6254i | −1.91182 | − | 0.987670i | ||||
\(841\) | 7.01749 | + | 24.3582i | 0.241982 | + | 0.839939i | ||||
\(842\) | 0.396102 | + | 7.05324i | 0.0136506 | + | 0.243071i | ||||
\(843\) | 4.75732 | + | 0.133477i | 0.163851 | + | 0.00459721i | ||||
\(844\) | −3.49903 | − | 3.70105i | −0.120442 | − | 0.127395i | ||||
\(845\) | 36.0214 | − | 18.6091i | 1.23918 | − | 0.640173i | ||||
\(846\) | 35.9872 | − | 12.5925i | 1.23726 | − | 0.432938i | ||||
\(847\) | 47.1064 | − | 49.8261i | 1.61860 | − | 1.71205i | ||||
\(848\) | −10.9530 | − | 0.615106i | −0.376127 | − | 0.0211228i | ||||
\(849\) | −26.2598 | + | 32.9287i | −0.901233 | + | 1.13011i | ||||
\(850\) | 52.4852 | − | 36.3677i | 1.80023 | − | 1.24740i | ||||
\(851\) | 6.57778 | + | 5.24561i | 0.225483 | + | 0.179817i | ||||
\(852\) | 87.2175 | − | 61.8841i | 2.98802 | − | 2.12011i | ||||
\(853\) | 12.0855 | + | 18.0872i | 0.413799 | + | 0.619293i | 0.978560 | − | 0.205961i | \(-0.0660319\pi\) |
−0.564762 | + | 0.825254i | \(0.691032\pi\) | |||||||
\(854\) | −51.9636 | − | 51.9636i | −1.77816 | − | 1.77816i | ||||
\(855\) | 66.8457 | − | 1.87551i | 2.28608 | − | 0.0641411i | ||||
\(856\) | 2.48946 | + | 29.5138i | 0.0850879 | + | 1.00876i | ||||
\(857\) | −15.0988 | − | 20.0628i | −0.515765 | − | 0.685331i | 0.463920 | − | 0.885877i | \(-0.346443\pi\) |
−0.979684 | + | 0.200546i | \(0.935728\pi\) | |||||||
\(858\) | −22.4535 | − | 25.1255i | −0.766551 | − | 0.857771i | ||||
\(859\) | 50.5006 | + | 20.9181i | 1.72306 | + | 0.713715i | 0.999731 | + | 0.0232114i | \(0.00738907\pi\) |
0.723329 | + | 0.690503i | \(0.242611\pi\) | |||||||
\(860\) | −45.2883 | + | 49.3590i | −1.54432 | + | 1.68313i | ||||
\(861\) | −38.7089 | − | 25.8645i | −1.31920 | − | 0.881459i | ||||
\(862\) | −27.3360 | + | 36.3232i | −0.931069 | + | 1.23717i | ||||
\(863\) | −14.8347 | + | 42.3951i | −0.504979 | + | 1.44315i | 0.355990 | + | 0.934490i | \(0.384144\pi\) |
−0.860969 | + | 0.508658i | \(0.830142\pi\) | |||||||
\(864\) | −1.93882 | − | 0.617958i | −0.0659600 | − | 0.0210233i | ||||
\(865\) | 32.9227 | − | 23.3599i | 1.11940 | − | 0.794259i | ||||
\(866\) | − | 64.5117i | − | 2.19220i | ||||||
\(867\) | 25.8827 | + | 32.0751i | 0.879022 | + | 1.08933i | ||||
\(868\) | −62.7389 | + | 14.3197i | −2.12950 | + | 0.486044i | ||||
\(869\) | −15.8573 | − | 4.56842i | −0.537924 | − | 0.154973i | ||||
\(870\) | −33.3117 | + | 12.7157i | −1.12937 | + | 0.431104i | ||||
\(871\) | −1.71748 | − | 15.2431i | −0.0581946 | − | 0.516491i | ||||
\(872\) | −13.1125 | − | 9.86817i | −0.444045 | − | 0.334179i | ||||
\(873\) | −3.09770 | − | 1.18245i | −0.104841 | − | 0.0400200i | ||||
\(874\) | 12.3032 | − | 47.6954i | 0.416160 | − | 1.61332i | ||||
\(875\) | 6.56526 | + | 22.7885i | 0.221946 | + | 0.770393i | ||||
\(876\) | −76.5011 | − | 54.2804i | −2.58473 | − | 1.83397i | ||||
\(877\) | −0.586854 | + | 20.9163i | −0.0198167 | + | 0.706293i | 0.925239 | + | 0.379384i | \(0.123864\pi\) |
−0.945056 | + | 0.326909i | \(0.893993\pi\) | |||||||
\(878\) | −0.0374727 | + | 0.265432i | −0.00126464 | + | 0.00895789i | ||||
\(879\) | −71.1052 | + | 36.7338i | −2.39832 | + | 1.23900i | ||||
\(880\) | 2.52902 | + | 22.4456i | 0.0852531 | + | 0.756643i | ||||
\(881\) | 20.0002 | − | 33.9052i | 0.673823 | − | 1.14230i | −0.307797 | − | 0.951452i | \(-0.599592\pi\) |
0.981620 | − | 0.190844i | \(-0.0611225\pi\) | |||||||
\(882\) | 25.1692 | + | 22.4926i | 0.847492 | + | 0.757365i | ||||
\(883\) | 16.8840 | + | 13.4645i | 0.568191 | + | 0.453117i | 0.864966 | − | 0.501830i | \(-0.167340\pi\) |
−0.296775 | + | 0.954947i | \(0.595911\pi\) | |||||||
\(884\) | 0.924252 | − | 13.7238i | 0.0310860 | − | 0.461583i | ||||
\(885\) | −37.8385 | + | 18.2221i | −1.27193 | + | 0.612529i | ||||
\(886\) | −2.09089 | − | 12.3061i | −0.0702448 | − | 0.413431i | ||||
\(887\) | 8.38816 | + | 21.9746i | 0.281647 | + | 0.737836i | 0.999148 | + | 0.0412783i | \(0.0131430\pi\) |
−0.717501 | + | 0.696557i | \(0.754714\pi\) | |||||||
\(888\) | −1.47270 | + | 13.0706i | −0.0494207 | + | 0.438621i | ||||
\(889\) | 21.9041 | + | 16.4845i | 0.734641 | + | 0.552874i | ||||
\(890\) | 34.2508 | − | 89.7277i | 1.14809 | − | 3.00768i | ||||
\(891\) | 12.9154 | − | 50.0689i | 0.432682 | − | 1.67737i | ||||
\(892\) | −8.91636 | − | 16.1329i | −0.298542 | − | 0.540171i | ||||
\(893\) | −23.1435 | + | 32.6176i | −0.774466 | + | 1.09151i | ||||
\(894\) | −45.1489 | − | 23.3245i | −1.51000 | − | 0.780087i | ||||
\(895\) | 17.1860 | − | 45.0226i | 0.574465 | − | 1.50494i | ||||
\(896\) | 51.7263 | + | 10.2890i | 1.72805 | + | 0.343731i | ||||
\(897\) | 6.37595 | − | 6.37595i | 0.212887 | − | 0.212887i | ||||
\(898\) | 4.17774 | + | 3.94971i | 0.139413 | + | 0.131804i | ||||
\(899\) | −5.74804 | + | 10.4003i | −0.191708 | + | 0.346869i | ||||
\(900\) | 25.6665 | + | 53.2970i | 0.855550 | + | 1.77657i | ||||
\(901\) | 27.3750 | − | 26.7715i | 0.911994 | − | 0.891888i | ||||
\(902\) | − | 67.4697i | − | 2.24650i | ||||||
\(903\) | 46.7047 | − | 30.3286i | 1.55423 | − | 1.00927i | ||||
\(904\) | 5.39350 | + | 8.07195i | 0.179385 | + | 0.268469i | ||||
\(905\) | 13.0969 | + | 37.4288i | 0.435355 | + | 1.24417i | ||||
\(906\) | 17.9134 | − | 4.62082i | 0.595134 | − | 0.153517i | ||||
\(907\) | −2.76560 | + | 0.233276i | −0.0918303 | + | 0.00774579i | −0.129876 | − | 0.991530i | \(-0.541458\pi\) |
0.0380461 | + | 0.999276i | \(0.487887\pi\) | |||||||
\(908\) | −7.87488 | − | 17.5986i | −0.261337 | − | 0.584031i | ||||
\(909\) | 28.3788 | + | 11.7549i | 0.941266 | + | 0.389885i | ||||
\(910\) | 28.1282 | + | 11.6511i | 0.932441 | + | 0.386230i | ||||
\(911\) | 27.9057 | − | 12.4870i | 0.924556 | − | 0.413712i | 0.110088 | − | 0.993922i | \(-0.464887\pi\) |
0.814467 | + | 0.580210i | \(0.197029\pi\) | |||||||
\(912\) | −18.3356 | + | 5.84408i | −0.607153 | + | 0.193517i | ||||
\(913\) | 7.98902 | − | 17.8537i | 0.264398 | − | 0.590872i | ||||
\(914\) | 20.4142 | − | 2.30012i | 0.675240 | − | 0.0760813i | ||||
\(915\) | 11.0467 | + | 78.2475i | 0.365193 | + | 2.58678i | ||||
\(916\) | −10.1375 | − | 14.2875i | −0.334953 | − | 0.472072i | ||||
\(917\) | 19.4760 | − | 40.4424i | 0.643155 | − | 1.33552i | ||||
\(918\) | 2.35424 | − | 1.35359i | 0.0777013 | − | 0.0446751i | ||||
\(919\) | 3.16466 | − | 13.8653i | 0.104393 | − | 0.457373i | −0.895531 | − | 0.444999i | \(-0.853204\pi\) |
0.999923 | − | 0.0123742i | \(-0.00393893\pi\) | |||||||
\(920\) | 23.8449 | − | 4.05141i | 0.786143 | − | 0.133571i | ||||
\(921\) | −11.1400 | + | 18.8850i | −0.367076 | + | 0.622283i | ||||
\(922\) | 0.109941 | − | 0.975755i | 0.00362072 | − | 0.0321348i | ||||
\(923\) | −12.8830 | + | 10.8787i | −0.424049 | + | 0.358078i | ||||
\(924\) | −19.3920 | + | 137.360i | −0.637951 | + | 4.51882i | ||||
\(925\) | 14.2020 | − | 10.6881i | 0.466960 | − | 0.351423i | ||||
\(926\) | 30.2156 | − | 16.6996i | 0.992945 | − | 0.548781i | ||||
\(927\) | 27.1375 | − | 7.81817i | 0.891311 | − | 0.256782i | ||||
\(928\) | 10.4990 | − | 7.90131i | 0.344646 | − | 0.259373i | ||||
\(929\) | 22.6509 | + | 23.9587i | 0.743153 | + | 0.786059i | 0.982775 | − | 0.184808i | \(-0.0591662\pi\) |
−0.239622 | + | 0.970866i | \(0.577023\pi\) | |||||||
\(930\) | 105.928 | + | 47.3997i | 3.47351 | + | 1.55430i | ||||
\(931\) | −35.1858 | − | 3.96448i | −1.15317 | − | 0.129931i | ||||
\(932\) | 0.0958659 | + | 0.679050i | 0.00314019 | + | 0.0222430i | ||||
\(933\) | 11.3091 | − | 8.02425i | 0.370244 | − | 0.262702i | ||||
\(934\) | 8.43874 | − | 17.5232i | 0.276124 | − | 0.573377i | ||||
\(935\) | −63.7851 | − | 46.3353i | −2.08600 | − | 1.51533i | ||||
\(936\) | 6.72912 | + | 1.53588i | 0.219948 | + | 0.0502017i | ||||
\(937\) | −6.91937 | + | 24.0177i | −0.226046 | + | 0.784623i | 0.764162 | + | 0.645024i | \(0.223153\pi\) |
−0.990208 | + | 0.139599i | \(0.955419\pi\) | |||||||
\(938\) | −72.7552 | + | 76.9556i | −2.37554 | + | 2.51269i | ||||
\(939\) | 20.6407 | − | 20.6407i | 0.673582 | − | 0.673582i | ||||
\(940\) | −59.6343 | − | 11.8620i | −1.94506 | − | 0.386896i | ||||
\(941\) | −52.0383 | − | 19.8640i | −1.69640 | − | 0.647549i | −0.698704 | − | 0.715411i | \(-0.746240\pi\) |
−0.997695 | + | 0.0678613i | \(0.978382\pi\) | |||||||
\(942\) | 3.19023 | + | 2.69391i | 0.103943 | + | 0.0877723i | ||||
\(943\) | 18.0260 | − | 1.01232i | 0.587009 | − | 0.0329657i | ||||
\(944\) | 4.41238 | − | 3.94314i | 0.143611 | − | 0.128338i | ||||
\(945\) | 0.699259 | + | 3.51541i | 0.0227469 | + | 0.114356i | ||||
\(946\) | 74.1510 | + | 31.8602i | 2.41086 | + | 1.03586i | ||||
\(947\) | 3.76230 | + | 0.748368i | 0.122258 | + | 0.0243187i | 0.255840 | − | 0.966719i | \(-0.417648\pi\) |
−0.133582 | + | 0.991038i | \(0.542648\pi\) | |||||||
\(948\) | 20.1754 | − | 7.05968i | 0.655266 | − | 0.229288i | ||||
\(949\) | 12.7388 | + | 7.51441i | 0.413518 | + | 0.243928i | ||||
\(950\) | −91.0784 | − | 50.3373i | −2.95497 | − | 1.63316i | ||||
\(951\) | 9.53280 | + | 41.7659i | 0.309122 | + | 1.35435i | ||||
\(952\) | −24.7112 | + | 18.1692i | −0.800894 | + | 0.588869i | ||||
\(953\) | − | 24.4445i | − | 0.791836i | −0.918286 | − | 0.395918i | \(-0.870426\pi\) | ||
0.918286 | − | 0.395918i | \(-0.129574\pi\) | |||||||
\(954\) | 34.4237 | + | 48.5156i | 1.11451 | + | 1.57075i | ||||
\(955\) | −4.69680 | − | 0.396170i | −0.151985 | − | 0.0128198i | ||||
\(956\) | −13.2825 | − | 21.1390i | −0.429587 | − | 0.683684i | ||||
\(957\) | 16.5266 | + | 19.5714i | 0.534229 | + | 0.632655i | ||||
\(958\) | 35.9743 | + | 60.9853i | 1.16228 | + | 1.97035i | ||||
\(959\) | −3.83006 | + | 1.71384i | −0.123679 | + | 0.0553428i | ||||
\(960\) | −72.3103 | − | 80.9152i | −2.33380 | − | 2.61153i | ||||
\(961\) | 7.37549 | − | 2.12484i | 0.237919 | − | 0.0685433i | ||||
\(962\) | 0.180086 | − | 6.41852i | 0.00580622 | − | 0.206941i | ||||
\(963\) | −29.1660 | + | 27.5740i | −0.939861 | + | 0.888560i | ||||
\(964\) | 20.8495 | + | 80.8269i | 0.671517 | + | 2.60326i | ||||
\(965\) | −67.6866 | − | 7.62645i | −2.17891 | − | 0.245504i | ||||
\(966\) | −62.0323 | − | 5.23236i | −1.99586 | − | 0.168349i | ||||
\(967\) | −6.22595 | + | 6.96684i | −0.200213 | + | 0.224039i | −0.837286 | − | 0.546765i | \(-0.815859\pi\) |
0.637073 | + | 0.770803i | \(0.280145\pi\) | |||||||
\(968\) | −37.4561 | + | 18.0379i | −1.20389 | + | 0.579761i | ||||
\(969\) | 28.1166 | − | 61.0016i | 0.903234 | − | 1.95965i | ||||
\(970\) | 5.52886 | + | 6.93297i | 0.177521 | + | 0.222604i | ||||
\(971\) | −19.2955 | − | 17.2435i | −0.619222 | − | 0.553371i | 0.296576 | − | 0.955009i | \(-0.404155\pi\) |
−0.915798 | + | 0.401638i | \(0.868441\pi\) | |||||||
\(972\) | 22.9497 | + | 60.1217i | 0.736111 | + | 1.92840i | ||||
\(973\) | 43.6041 | − | 27.3982i | 1.39788 | − | 0.878347i | ||||
\(974\) | 7.98979 | + | 15.4657i | 0.256009 | + | 0.495554i | ||||
\(975\) | −9.67876 | − | 16.4079i | −0.309968 | − | 0.525473i | ||||
\(976\) | −4.54785 | − | 10.1635i | −0.145573 | − | 0.325324i | ||||
\(977\) | −7.94119 | − | 8.88619i | −0.254061 | − | 0.284294i | 0.604937 | − | 0.796273i | \(-0.293198\pi\) |
−0.858998 | + | 0.511979i | \(0.828913\pi\) | |||||||
\(978\) | −29.3745 | + | 16.2347i | −0.939292 | + | 0.519128i | ||||
\(979\) | −68.9711 | − | 1.93514i | −2.20433 | − | 0.0618474i | ||||
\(980\) | −16.3472 | − | 51.2888i | −0.522193 | − | 1.63836i | ||||
\(981\) | −0.623719 | − | 22.2302i | −0.0199138 | − | 0.709756i | ||||
\(982\) | −40.6134 | − | 40.6134i | −1.29603 | − | 1.29603i | ||||
\(983\) | 16.1463 | + | 24.1647i | 0.514989 | + | 0.770735i | 0.994267 | − | 0.106928i | \(-0.0341015\pi\) |
−0.479278 | + | 0.877663i | \(0.659102\pi\) | |||||||
\(984\) | 16.3337 | + | 23.0202i | 0.520699 | + | 0.733857i | ||||
\(985\) | 7.25214 | + | 9.09389i | 0.231072 | + | 0.289756i | ||||
\(986\) | −1.66852 | + | 17.4559i | −0.0531364 | + | 0.555910i | ||||
\(987\) | 45.5406 | + | 21.9312i | 1.44957 | + | 0.698077i | ||||
\(988\) | −20.7102 | + | 8.57843i | −0.658878 | + | 0.272916i | ||||
\(989\) | −7.39959 | + | 20.2891i | −0.235293 | + | 0.645156i | ||||
\(990\) | 86.6096 | − | 86.6096i | 2.75263 | − | 2.75263i | ||||
\(991\) | −18.4090 | − | 13.8542i | −0.584780 | − | 0.440092i | 0.267219 | − | 0.963636i | \(-0.413895\pi\) |
−0.851999 | + | 0.523544i | \(0.824610\pi\) | |||||||
\(992\) | −42.3466 | − | 5.97835i | −1.34451 | − | 0.189813i | ||||
\(993\) | 51.2362 | − | 60.6759i | 1.62593 | − | 1.92549i | ||||
\(994\) | 114.768 | + | 19.4999i | 3.64022 | + | 0.618498i | ||||
\(995\) | 14.5148 | − | 35.0418i | 0.460149 | − | 1.11090i | ||||
\(996\) | 4.94260 | + | 24.8481i | 0.156612 | + | 0.787344i | ||||
\(997\) | 9.42787 | + | 3.59881i | 0.298584 | + | 0.113975i | 0.501331 | − | 0.865256i | \(-0.332844\pi\) |
−0.202747 | + | 0.979231i | \(0.564987\pi\) | |||||||
\(998\) | 8.49635 | − | 7.17453i | 0.268947 | − | 0.227106i | ||||
\(999\) | 0.640064 | − | 0.402179i | 0.0202507 | − | 0.0127244i |
(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 | 731.2.bj.a.22.9 | ✓ | 3072 | |
17.7 | odd | 16 | inner | 731.2.bj.a.194.56 | yes | 3072 | |
43.2 | odd | 14 | inner | 731.2.bj.a.260.56 | yes | 3072 | |
731.432 | even | 112 | inner | 731.2.bj.a.432.9 | yes | 3072 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bj.a.22.9 | ✓ | 3072 | 1.1 | even | 1 | trivial | |
731.2.bj.a.194.56 | yes | 3072 | 17.7 | odd | 16 | inner | |
731.2.bj.a.260.56 | yes | 3072 | 43.2 | odd | 14 | inner | |
731.2.bj.a.432.9 | yes | 3072 | 731.432 | even | 112 | inner |