Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(23,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.j (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 177.3 | ||
Character | \(\chi\) | \(=\) | 418.177 |
Dual form | 418.2.j.c.111.3 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | + | 0.642788i | −0.541675 | + | 0.454519i | ||||
\(3\) | 0.0916892 | + | 0.0333721i | 0.0529368 | + | 0.0192674i | 0.368353 | − | 0.929686i | \(-0.379922\pi\) |
−0.315416 | + | 0.948953i | \(0.602144\pi\) | |||||||
\(4\) | 0.173648 | − | 0.984808i | 0.0868241 | − | 0.492404i | ||||
\(5\) | 0.327930 | + | 1.85978i | 0.146655 | + | 0.831719i | 0.966024 | + | 0.258453i | \(0.0832128\pi\) |
−0.819369 | + | 0.573266i | \(0.805676\pi\) | |||||||
\(6\) | −0.0916892 | + | 0.0333721i | −0.0374319 | + | 0.0136241i | ||||
\(7\) | 1.90575 | − | 3.30086i | 0.720308 | − | 1.24761i | −0.240569 | − | 0.970632i | \(-0.577334\pi\) |
0.960876 | − | 0.276977i | \(-0.0893327\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | −2.29084 | − | 1.92224i | −0.763613 | − | 0.640748i | ||||
\(10\) | −1.44665 | − | 1.21389i | −0.457472 | − | 0.383864i | ||||
\(11\) | −0.500000 | − | 0.866025i | −0.150756 | − | 0.261116i | ||||
\(12\) | 0.0487868 | − | 0.0845012i | 0.0140835 | − | 0.0243934i | ||||
\(13\) | 5.98997 | − | 2.18017i | 1.66132 | − | 0.604671i | 0.670750 | − | 0.741684i | \(-0.265973\pi\) |
0.990569 | + | 0.137013i | \(0.0437503\pi\) | |||||||
\(14\) | 0.661862 | + | 3.75360i | 0.176890 | + | 1.00319i | ||||
\(15\) | −0.0319973 | + | 0.181466i | −0.00826166 | + | 0.0468542i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | 1.94515 | − | 1.63217i | 0.471768 | − | 0.395861i | −0.375671 | − | 0.926753i | \(-0.622588\pi\) |
0.847439 | + | 0.530893i | \(0.178143\pi\) | |||||||
\(18\) | 2.99048 | 0.704863 | ||||||||
\(19\) | −4.20704 | + | 1.14052i | −0.965162 | + | 0.261652i | ||||
\(20\) | 1.88847 | 0.422275 | ||||||||
\(21\) | 0.284894 | − | 0.239054i | 0.0621690 | − | 0.0521659i | ||||
\(22\) | 0.939693 | + | 0.342020i | 0.200343 | + | 0.0729189i | ||||
\(23\) | −0.793315 | + | 4.49911i | −0.165418 | + | 0.938130i | 0.783215 | + | 0.621751i | \(0.213578\pi\) |
−0.948633 | + | 0.316379i | \(0.897533\pi\) | |||||||
\(24\) | 0.0169435 | + | 0.0960912i | 0.00345857 | + | 0.0196145i | ||||
\(25\) | 1.34721 | − | 0.490346i | 0.269443 | − | 0.0980692i | ||||
\(26\) | −3.18720 | + | 5.52039i | −0.625061 | + | 1.08264i | ||||
\(27\) | −0.292256 | − | 0.506203i | −0.0562447 | − | 0.0974187i | ||||
\(28\) | −2.91979 | − | 2.44999i | −0.551788 | − | 0.463005i | ||||
\(29\) | 1.50678 | + | 1.26434i | 0.279803 | + | 0.234782i | 0.771879 | − | 0.635770i | \(-0.219317\pi\) |
−0.492076 | + | 0.870552i | \(0.663762\pi\) | |||||||
\(30\) | −0.0921325 | − | 0.159578i | −0.0168210 | − | 0.0291348i | ||||
\(31\) | 5.05123 | − | 8.74899i | 0.907228 | − | 1.57137i | 0.0893302 | − | 0.996002i | \(-0.471527\pi\) |
0.817898 | − | 0.575363i | \(-0.195139\pi\) | |||||||
\(32\) | 0.939693 | − | 0.342020i | 0.166116 | − | 0.0604612i | ||||
\(33\) | −0.0169435 | − | 0.0960912i | −0.00294948 | − | 0.0167273i | ||||
\(34\) | −0.440930 | + | 2.50064i | −0.0756188 | + | 0.428856i | ||||
\(35\) | 6.76384 | + | 2.46184i | 1.14330 | + | 0.416126i | ||||
\(36\) | −2.29084 | + | 1.92224i | −0.381807 | + | 0.320374i | ||||
\(37\) | 6.50021 | 1.06863 | 0.534314 | − | 0.845286i | \(-0.320570\pi\) | ||||
0.534314 | + | 0.845286i | \(0.320570\pi\) | |||||||
\(38\) | 2.48967 | − | 3.57792i | 0.403878 | − | 0.580416i | ||||
\(39\) | 0.621972 | 0.0995953 | ||||||||
\(40\) | −1.44665 | + | 1.21389i | −0.228736 | + | 0.191932i | ||||
\(41\) | 1.11539 | + | 0.405970i | 0.174195 | + | 0.0634019i | 0.427645 | − | 0.903947i | \(-0.359343\pi\) |
−0.253450 | + | 0.967348i | \(0.581565\pi\) | |||||||
\(42\) | −0.0645802 | + | 0.366253i | −0.00996494 | + | 0.0565140i | ||||
\(43\) | 1.68574 | + | 9.56031i | 0.257073 | + | 1.45793i | 0.790695 | + | 0.612210i | \(0.209719\pi\) |
−0.533622 | + | 0.845723i | \(0.679169\pi\) | |||||||
\(44\) | −0.939693 | + | 0.342020i | −0.141664 | + | 0.0515615i | ||||
\(45\) | 2.82372 | − | 4.89082i | 0.420935 | − | 0.729081i | ||||
\(46\) | −2.28426 | − | 3.95645i | −0.336796 | − | 0.583347i | ||||
\(47\) | 0.109958 | + | 0.0922654i | 0.0160390 | + | 0.0134583i | 0.650772 | − | 0.759273i | \(-0.274445\pi\) |
−0.634733 | + | 0.772732i | \(0.718890\pi\) | |||||||
\(48\) | −0.0747457 | − | 0.0627191i | −0.0107886 | − | 0.00905272i | ||||
\(49\) | −3.76380 | − | 6.51910i | −0.537686 | − | 0.931299i | ||||
\(50\) | −0.716838 | + | 1.24160i | −0.101376 | + | 0.175589i | ||||
\(51\) | 0.232818 | − | 0.0847389i | 0.0326011 | − | 0.0118658i | ||||
\(52\) | −1.10690 | − | 6.27755i | −0.153500 | − | 0.870540i | ||||
\(53\) | 0.608258 | − | 3.44961i | 0.0835507 | − | 0.473840i | −0.914109 | − | 0.405468i | \(-0.867109\pi\) |
0.997660 | − | 0.0683716i | \(-0.0217804\pi\) | |||||||
\(54\) | 0.549262 | + | 0.199915i | 0.0747451 | + | 0.0272050i | ||||
\(55\) | 1.44665 | − | 1.21389i | 0.195067 | − | 0.163680i | ||||
\(56\) | 3.81151 | 0.509334 | ||||||||
\(57\) | −0.423802 | − | 0.0358251i | −0.0561339 | − | 0.00474515i | ||||
\(58\) | −1.96697 | −0.258275 | ||||||||
\(59\) | −7.12694 | + | 5.98022i | −0.927849 | + | 0.778558i | −0.975430 | − | 0.220310i | \(-0.929293\pi\) |
0.0475809 | + | 0.998867i | \(0.484849\pi\) | |||||||
\(60\) | 0.173152 | + | 0.0630223i | 0.0223539 | + | 0.00813615i | ||||
\(61\) | −1.16067 | + | 6.58249i | −0.148609 | + | 0.842801i | 0.815790 | + | 0.578348i | \(0.196303\pi\) |
−0.964399 | + | 0.264453i | \(0.914809\pi\) | |||||||
\(62\) | 1.75427 | + | 9.94899i | 0.222793 | + | 1.26352i | ||||
\(63\) | −10.7108 | + | 3.89843i | −1.34944 | + | 0.491156i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 6.01893 | + | 10.4251i | 0.746556 | + | 1.29307i | ||||
\(66\) | 0.0747457 | + | 0.0627191i | 0.00920056 | + | 0.00772019i | ||||
\(67\) | −7.20133 | − | 6.04263i | −0.879782 | − | 0.738225i | 0.0863523 | − | 0.996265i | \(-0.472479\pi\) |
−0.966134 | + | 0.258040i | \(0.916923\pi\) | |||||||
\(68\) | −1.26961 | − | 2.19902i | −0.153962 | − | 0.266671i | ||||
\(69\) | −0.222883 | + | 0.386045i | −0.0268320 | + | 0.0464744i | ||||
\(70\) | −6.76384 | + | 2.46184i | −0.808433 | + | 0.294246i | ||||
\(71\) | −1.64786 | − | 9.34546i | −0.195565 | − | 1.10910i | −0.911612 | − | 0.411051i | \(-0.865162\pi\) |
0.716048 | − | 0.698051i | \(-0.245949\pi\) | |||||||
\(72\) | 0.519291 | − | 2.94505i | 0.0611991 | − | 0.347077i | ||||
\(73\) | −3.40484 | − | 1.23926i | −0.398507 | − | 0.145045i | 0.134989 | − | 0.990847i | \(-0.456900\pi\) |
−0.533496 | + | 0.845802i | \(0.679122\pi\) | |||||||
\(74\) | −4.97945 | + | 4.17826i | −0.578850 | + | 0.485713i | ||||
\(75\) | 0.139889 | 0.0161530 | ||||||||
\(76\) | 0.392643 | + | 4.34118i | 0.0450393 | + | 0.497967i | ||||
\(77\) | −3.81151 | −0.434362 | ||||||||
\(78\) | −0.476458 | + | 0.399796i | −0.0539483 | + | 0.0452680i | ||||
\(79\) | 0.796961 | + | 0.290070i | 0.0896651 | + | 0.0326354i | 0.386463 | − | 0.922305i | \(-0.373697\pi\) |
−0.296798 | + | 0.954940i | \(0.595919\pi\) | |||||||
\(80\) | 0.327930 | − | 1.85978i | 0.0366636 | − | 0.207930i | ||||
\(81\) | 1.54797 | + | 8.77898i | 0.171997 | + | 0.975442i | ||||
\(82\) | −1.11539 | + | 0.405970i | −0.123175 | + | 0.0448319i | ||||
\(83\) | 1.00797 | − | 1.74586i | 0.110639 | − | 0.191633i | −0.805389 | − | 0.592747i | \(-0.798043\pi\) |
0.916028 | + | 0.401114i | \(0.131377\pi\) | |||||||
\(84\) | −0.185951 | − | 0.322077i | −0.0202890 | − | 0.0351415i | ||||
\(85\) | 3.67336 | + | 3.08232i | 0.398432 | + | 0.334324i | ||||
\(86\) | −7.43660 | − | 6.24005i | −0.801909 | − | 0.672882i | ||||
\(87\) | 0.0959619 | + | 0.166211i | 0.0102882 | + | 0.0178197i | ||||
\(88\) | 0.500000 | − | 0.866025i | 0.0533002 | − | 0.0923186i | ||||
\(89\) | 2.33291 | − | 0.849108i | 0.247288 | − | 0.0900053i | −0.215403 | − | 0.976525i | \(-0.569106\pi\) |
0.462690 | + | 0.886520i | \(0.346884\pi\) | |||||||
\(90\) | 0.980667 | + | 5.56164i | 0.103371 | + | 0.586248i | ||||
\(91\) | 4.21897 | − | 23.9269i | 0.442268 | − | 2.50823i | ||||
\(92\) | 4.29300 | + | 1.56253i | 0.447577 | + | 0.162905i | ||||
\(93\) | 0.755116 | − | 0.633617i | 0.0783019 | − | 0.0657031i | ||||
\(94\) | −0.143539 | −0.0148050 | ||||||||
\(95\) | −3.50072 | − | 7.45017i | −0.359167 | − | 0.764372i | ||||
\(96\) | 0.0975736 | 0.00995856 | ||||||||
\(97\) | −11.3250 | + | 9.50281i | −1.14988 | + | 0.964864i | −0.999717 | − | 0.0237975i | \(-0.992424\pi\) |
−0.150163 | + | 0.988661i | \(0.547980\pi\) | |||||||
\(98\) | 7.07363 | + | 2.57459i | 0.714545 | + | 0.260073i | ||||
\(99\) | −0.519291 | + | 2.94505i | −0.0521907 | + | 0.295988i | ||||
\(100\) | −0.248955 | − | 1.41189i | −0.0248955 | − | 0.141189i | ||||
\(101\) | −4.20377 | + | 1.53005i | −0.418291 | + | 0.152245i | −0.542587 | − | 0.840000i | \(-0.682555\pi\) |
0.124296 | + | 0.992245i | \(0.460333\pi\) | |||||||
\(102\) | −0.123880 | + | 0.214567i | −0.0122660 | + | 0.0212453i | ||||
\(103\) | −6.80077 | − | 11.7793i | −0.670099 | − | 1.16065i | −0.977876 | − | 0.209187i | \(-0.932918\pi\) |
0.307776 | − | 0.951459i | \(-0.400415\pi\) | |||||||
\(104\) | 4.88307 | + | 4.09738i | 0.478824 | + | 0.401781i | ||||
\(105\) | 0.538014 | + | 0.451447i | 0.0525048 | + | 0.0440568i | ||||
\(106\) | 1.75141 | + | 3.03353i | 0.170112 | + | 0.294643i | ||||
\(107\) | 2.13916 | − | 3.70513i | 0.206800 | − | 0.358189i | −0.743904 | − | 0.668286i | \(-0.767028\pi\) |
0.950705 | + | 0.310097i | \(0.100362\pi\) | |||||||
\(108\) | −0.549262 | + | 0.199915i | −0.0528528 | + | 0.0192368i | ||||
\(109\) | 2.23033 | + | 12.6488i | 0.213627 | + | 1.21154i | 0.883273 | + | 0.468859i | \(0.155335\pi\) |
−0.669646 | + | 0.742680i | \(0.733554\pi\) | |||||||
\(110\) | −0.327930 | + | 1.85978i | −0.0312669 | + | 0.177323i | ||||
\(111\) | 0.595999 | + | 0.216926i | 0.0565697 | + | 0.0205897i | ||||
\(112\) | −2.91979 | + | 2.44999i | −0.275894 | + | 0.231502i | ||||
\(113\) | −14.6855 | −1.38150 | −0.690748 | − | 0.723096i | \(-0.742719\pi\) | ||||
−0.690748 | + | 0.723096i | \(0.742719\pi\) | |||||||
\(114\) | 0.347679 | − | 0.244971i | 0.0325631 | − | 0.0229436i | ||||
\(115\) | −8.62752 | −0.804520 | ||||||||
\(116\) | 1.50678 | − | 1.26434i | 0.139901 | − | 0.117391i | ||||
\(117\) | −17.9129 | − | 6.51976i | −1.65605 | − | 0.602752i | ||||
\(118\) | 1.61555 | − | 9.16222i | 0.148723 | − | 0.843451i | ||||
\(119\) | −1.68061 | − | 9.53120i | −0.154061 | − | 0.873724i | ||||
\(120\) | −0.173152 | + | 0.0630223i | −0.0158066 | + | 0.00575312i | ||||
\(121\) | −0.500000 | + | 0.866025i | −0.0454545 | + | 0.0787296i | ||||
\(122\) | −3.34202 | − | 5.78854i | −0.302572 | − | 0.524070i | ||||
\(123\) | 0.0887214 | + | 0.0744461i | 0.00799974 | + | 0.00671258i | ||||
\(124\) | −7.73894 | − | 6.49374i | −0.694977 | − | 0.583155i | ||||
\(125\) | 6.07491 | + | 10.5220i | 0.543356 | + | 0.941120i | ||||
\(126\) | 5.69912 | − | 9.87117i | 0.507718 | − | 0.879393i | ||||
\(127\) | −10.9636 | + | 3.99041i | −0.972859 | + | 0.354092i | −0.779060 | − | 0.626950i | \(-0.784303\pi\) |
−0.193799 | + | 0.981041i | \(0.562081\pi\) | |||||||
\(128\) | −0.173648 | − | 0.984808i | −0.0153485 | − | 0.0870455i | ||||
\(129\) | −0.164484 | + | 0.932834i | −0.0144820 | + | 0.0821314i | ||||
\(130\) | −11.3119 | − | 4.11719i | −0.992118 | − | 0.361101i | ||||
\(131\) | 1.95549 | − | 1.64085i | 0.170852 | − | 0.143361i | −0.553353 | − | 0.832947i | \(-0.686652\pi\) |
0.724204 | + | 0.689586i | \(0.242207\pi\) | |||||||
\(132\) | −0.0975736 | −0.00849269 | ||||||||
\(133\) | −4.25291 | + | 16.0604i | −0.368774 | + | 1.39262i | ||||
\(134\) | 9.40066 | 0.812094 | ||||||||
\(135\) | 0.845587 | − | 0.709532i | 0.0727765 | − | 0.0610668i | ||||
\(136\) | 2.38608 | + | 0.868462i | 0.204605 | + | 0.0744700i | ||||
\(137\) | 2.46682 | − | 13.9900i | 0.210754 | − | 1.19525i | −0.677369 | − | 0.735643i | \(-0.736880\pi\) |
0.888124 | − | 0.459605i | \(-0.152009\pi\) | |||||||
\(138\) | −0.0774066 | − | 0.438995i | −0.00658929 | − | 0.0373697i | ||||
\(139\) | −12.1689 | + | 4.42911i | −1.03215 | + | 0.375673i | −0.801900 | − | 0.597458i | \(-0.796177\pi\) |
−0.230252 | + | 0.973131i | \(0.573955\pi\) | |||||||
\(140\) | 3.59896 | − | 6.23359i | 0.304168 | − | 0.526834i | ||||
\(141\) | 0.00700283 | + | 0.0121293i | 0.000589745 | + | 0.00102147i | ||||
\(142\) | 7.26948 | + | 6.09982i | 0.610041 | + | 0.511885i | ||||
\(143\) | −4.88307 | − | 4.09738i | −0.408343 | − | 0.342640i | ||||
\(144\) | 1.49524 | + | 2.58983i | 0.124603 | + | 0.215819i | ||||
\(145\) | −1.85728 | + | 3.21690i | −0.154239 | + | 0.267149i | ||||
\(146\) | 3.40484 | − | 1.23926i | 0.281787 | − | 0.102562i | ||||
\(147\) | −0.127544 | − | 0.723337i | −0.0105196 | − | 0.0596598i | ||||
\(148\) | 1.12875 | − | 6.40146i | 0.0927827 | − | 0.526197i | ||||
\(149\) | 16.3487 | + | 5.95045i | 1.33934 | + | 0.487480i | 0.909604 | − | 0.415475i | \(-0.136385\pi\) |
0.429735 | + | 0.902955i | \(0.358607\pi\) | |||||||
\(150\) | −0.107161 | + | 0.0899188i | −0.00874967 | + | 0.00734184i | ||||
\(151\) | 0.263312 | 0.0214280 | 0.0107140 | − | 0.999943i | \(-0.496590\pi\) | ||||
0.0107140 | + | 0.999943i | \(0.496590\pi\) | |||||||
\(152\) | −3.09124 | − | 3.07315i | −0.250733 | − | 0.249265i | ||||
\(153\) | −7.59346 | −0.613895 | ||||||||
\(154\) | 2.91979 | − | 2.44999i | 0.235283 | − | 0.197426i | ||||
\(155\) | 17.9277 | + | 6.52513i | 1.43998 | + | 0.524111i | ||||
\(156\) | 0.108004 | − | 0.612523i | 0.00864727 | − | 0.0490411i | ||||
\(157\) | 1.39555 | + | 7.91458i | 0.111377 | + | 0.631652i | 0.988480 | + | 0.151350i | \(0.0483619\pi\) |
−0.877103 | + | 0.480302i | \(0.840527\pi\) | |||||||
\(158\) | −0.796961 | + | 0.290070i | −0.0634028 | + | 0.0230767i | ||||
\(159\) | 0.170891 | − | 0.295993i | 0.0135526 | − | 0.0234737i | ||||
\(160\) | 0.944236 | + | 1.63546i | 0.0746484 | + | 0.129295i | ||||
\(161\) | 13.3391 | + | 11.1928i | 1.05127 | + | 0.882119i | ||||
\(162\) | −6.82883 | − | 5.73007i | −0.536524 | − | 0.450197i | ||||
\(163\) | 0.447912 | + | 0.775807i | 0.0350832 | + | 0.0607659i | 0.883034 | − | 0.469309i | \(-0.155497\pi\) |
−0.847951 | + | 0.530075i | \(0.822164\pi\) | |||||||
\(164\) | 0.593489 | − | 1.02795i | 0.0463437 | − | 0.0802696i | ||||
\(165\) | 0.173152 | − | 0.0630223i | 0.0134799 | − | 0.00490628i | ||||
\(166\) | 0.350066 | + | 1.98532i | 0.0271704 | + | 0.154091i | ||||
\(167\) | −3.24570 | + | 18.4073i | −0.251159 | + | 1.42440i | 0.554582 | + | 0.832129i | \(0.312878\pi\) |
−0.805742 | + | 0.592267i | \(0.798233\pi\) | |||||||
\(168\) | 0.349474 | + | 0.127198i | 0.0269625 | + | 0.00981355i | ||||
\(169\) | 21.1680 | − | 17.7621i | 1.62831 | − | 1.36631i | ||||
\(170\) | −4.79523 | −0.367777 | ||||||||
\(171\) | 11.8300 | + | 5.47422i | 0.904664 | + | 0.418624i | ||||
\(172\) | 9.70779 | 0.740212 | ||||||||
\(173\) | 12.0834 | − | 10.1392i | 0.918683 | − | 0.770867i | −0.0550676 | − | 0.998483i | \(-0.517537\pi\) |
0.973751 | + | 0.227616i | \(0.0730930\pi\) | |||||||
\(174\) | −0.180349 | − | 0.0656418i | −0.0136723 | − | 0.00497629i | ||||
\(175\) | 0.948895 | − | 5.38145i | 0.0717297 | − | 0.406799i | ||||
\(176\) | 0.173648 | + | 0.984808i | 0.0130892 | + | 0.0742327i | ||||
\(177\) | −0.853036 | + | 0.310480i | −0.0641181 | + | 0.0233371i | ||||
\(178\) | −1.24131 | + | 2.15002i | −0.0930404 | + | 0.161151i | ||||
\(179\) | 5.99015 | + | 10.3752i | 0.447725 | + | 0.775482i | 0.998238 | − | 0.0593446i | \(-0.0189011\pi\) |
−0.550513 | + | 0.834827i | \(0.685568\pi\) | |||||||
\(180\) | −4.32619 | − | 3.63010i | −0.322455 | − | 0.270572i | ||||
\(181\) | 5.66704 | + | 4.75521i | 0.421228 | + | 0.353452i | 0.828630 | − | 0.559797i | \(-0.189121\pi\) |
−0.407402 | + | 0.913249i | \(0.633565\pi\) | |||||||
\(182\) | 12.1480 | + | 21.0410i | 0.900472 | + | 1.55966i | ||||
\(183\) | −0.326093 | + | 0.564809i | −0.0241055 | + | 0.0417519i | ||||
\(184\) | −4.29300 | + | 1.56253i | −0.316485 | + | 0.115191i | ||||
\(185\) | 2.13161 | + | 12.0890i | 0.156719 | + | 0.888799i | ||||
\(186\) | −0.171171 | + | 0.970758i | −0.0125509 | + | 0.0711794i | ||||
\(187\) | −2.38608 | − | 0.868462i | −0.174487 | − | 0.0635082i | ||||
\(188\) | 0.109958 | − | 0.0922654i | 0.00801948 | − | 0.00672915i | ||||
\(189\) | −2.22787 | −0.162054 | ||||||||
\(190\) | 7.47059 | + | 3.45694i | 0.541974 | + | 0.250793i | ||||
\(191\) | 1.64578 | 0.119084 | 0.0595421 | − | 0.998226i | \(-0.481036\pi\) | ||||
0.0595421 | + | 0.998226i | \(0.481036\pi\) | |||||||
\(192\) | −0.0747457 | + | 0.0627191i | −0.00539431 | + | 0.00452636i | ||||
\(193\) | −4.52044 | − | 1.64531i | −0.325389 | − | 0.118432i | 0.174161 | − | 0.984717i | \(-0.444279\pi\) |
−0.499549 | + | 0.866285i | \(0.666501\pi\) | |||||||
\(194\) | 2.56717 | − | 14.5591i | 0.184312 | − | 1.04529i | ||||
\(195\) | 0.203963 | + | 1.15673i | 0.0146061 | + | 0.0828353i | ||||
\(196\) | −7.07363 | + | 2.57459i | −0.505260 | + | 0.183899i | ||||
\(197\) | −12.3680 | + | 21.4220i | −0.881184 | + | 1.52626i | −0.0311583 | + | 0.999514i | \(0.509920\pi\) |
−0.850026 | + | 0.526741i | \(0.823414\pi\) | |||||||
\(198\) | −1.49524 | − | 2.58983i | −0.106262 | − | 0.184051i | ||||
\(199\) | 13.7970 | + | 11.5771i | 0.978044 | + | 0.820677i | 0.983793 | − | 0.179307i | \(-0.0573855\pi\) |
−0.00574880 | + | 0.999983i | \(0.501830\pi\) | |||||||
\(200\) | 1.09826 | + | 0.921549i | 0.0776587 | + | 0.0651634i | ||||
\(201\) | −0.458628 | − | 0.794367i | −0.0323491 | − | 0.0560303i | ||||
\(202\) | 2.23678 | − | 3.87422i | 0.157379 | − | 0.272589i | ||||
\(203\) | 7.04498 | − | 2.56416i | 0.494460 | − | 0.179969i | ||||
\(204\) | −0.0430231 | − | 0.243996i | −0.00301222 | − | 0.0170831i | ||||
\(205\) | −0.389245 | + | 2.20752i | −0.0271860 | + | 0.154180i | ||||
\(206\) | 12.7813 | + | 4.65200i | 0.890513 | + | 0.324120i | ||||
\(207\) | 10.4657 | − | 8.78181i | 0.727420 | − | 0.610378i | ||||
\(208\) | −6.37439 | −0.441985 | ||||||||
\(209\) | 3.09124 | + | 3.07315i | 0.213825 | + | 0.212574i | ||||
\(210\) | −0.702327 | −0.0484652 | ||||||||
\(211\) | 12.8029 | − | 10.7429i | 0.881390 | − | 0.739574i | −0.0850744 | − | 0.996375i | \(-0.527113\pi\) |
0.966464 | + | 0.256801i | \(0.0826683\pi\) | |||||||
\(212\) | −3.29158 | − | 1.19804i | −0.226066 | − | 0.0822814i | ||||
\(213\) | 0.160787 | − | 0.911870i | 0.0110170 | − | 0.0624803i | ||||
\(214\) | 0.742923 | + | 4.21332i | 0.0507851 | + | 0.288017i | ||||
\(215\) | −17.2273 | + | 6.27022i | −1.17489 | + | 0.427625i | ||||
\(216\) | 0.292256 | − | 0.506203i | 0.0198855 | − | 0.0344427i | ||||
\(217\) | −19.2528 | − | 33.3469i | −1.30697 | − | 2.26373i | ||||
\(218\) | −9.83905 | − | 8.25595i | −0.666385 | − | 0.559163i | ||||
\(219\) | −0.270831 | − | 0.227254i | −0.0183010 | − | 0.0153564i | ||||
\(220\) | −0.944236 | − | 1.63546i | −0.0636604 | − | 0.110263i | ||||
\(221\) | 8.09297 | − | 14.0174i | 0.544392 | − | 0.942915i | ||||
\(222\) | −0.595999 | + | 0.216926i | −0.0400008 | + | 0.0145591i | ||||
\(223\) | −0.905358 | − | 5.13454i | −0.0606272 | − | 0.343834i | −1.00000 | 0.000935254i | \(-0.999702\pi\) | |
0.939372 | − | 0.342899i | \(-0.111409\pi\) | |||||||
\(224\) | 0.661862 | − | 3.75360i | 0.0442225 | − | 0.250798i | ||||
\(225\) | −4.02882 | − | 1.46637i | −0.268588 | − | 0.0977580i | ||||
\(226\) | 11.2497 | − | 9.43966i | 0.748322 | − | 0.627917i | ||||
\(227\) | 1.37964 | 0.0915703 | 0.0457851 | − | 0.998951i | \(-0.485421\pi\) | ||||
0.0457851 | + | 0.998951i | \(0.485421\pi\) | |||||||
\(228\) | −0.108873 | + | 0.411142i | −0.00721031 | + | 0.0272286i | ||||
\(229\) | −17.1491 | −1.13325 | −0.566624 | − | 0.823977i | \(-0.691751\pi\) | ||||
−0.566624 | + | 0.823977i | \(0.691751\pi\) | |||||||
\(230\) | 6.60906 | − | 5.54566i | 0.435789 | − | 0.365670i | ||||
\(231\) | −0.349474 | − | 0.127198i | −0.0229937 | − | 0.00836903i | ||||
\(232\) | −0.341560 | + | 1.93708i | −0.0224245 | + | 0.127176i | ||||
\(233\) | 3.90090 | + | 22.1231i | 0.255556 | + | 1.44933i | 0.794641 | + | 0.607080i | \(0.207659\pi\) |
−0.539085 | + | 0.842251i | \(0.681230\pi\) | |||||||
\(234\) | 17.9129 | − | 6.51976i | 1.17100 | − | 0.426210i | ||||
\(235\) | −0.135535 | + | 0.234754i | −0.00884133 | + | 0.0153136i | ||||
\(236\) | 4.65178 | + | 8.05712i | 0.302805 | + | 0.524474i | ||||
\(237\) | 0.0633925 | + | 0.0531926i | 0.00411778 | + | 0.00345523i | ||||
\(238\) | 7.41396 | + | 6.22105i | 0.480576 | + | 0.403251i | ||||
\(239\) | −0.948785 | − | 1.64334i | −0.0613718 | − | 0.106299i | 0.833707 | − | 0.552207i | \(-0.186214\pi\) |
−0.895079 | + | 0.445908i | \(0.852881\pi\) | |||||||
\(240\) | 0.0921325 | − | 0.159578i | 0.00594712 | − | 0.0103007i | ||||
\(241\) | 18.4507 | − | 6.71549i | 1.18851 | − | 0.432583i | 0.329311 | − | 0.944221i | \(-0.393183\pi\) |
0.859201 | + | 0.511638i | \(0.170961\pi\) | |||||||
\(242\) | −0.173648 | − | 0.984808i | −0.0111625 | − | 0.0633058i | ||||
\(243\) | −0.455540 | + | 2.58349i | −0.0292229 | + | 0.165731i | ||||
\(244\) | 6.28094 | + | 2.28607i | 0.402096 | + | 0.146351i | ||||
\(245\) | 10.8898 | − | 9.13765i | 0.695726 | − | 0.583783i | ||||
\(246\) | −0.115818 | −0.00738426 | ||||||||
\(247\) | −22.7136 | + | 16.0037i | −1.44523 | + | 1.01829i | ||||
\(248\) | 10.1025 | 0.641507 | ||||||||
\(249\) | 0.150683 | − | 0.126438i | 0.00954917 | − | 0.00801271i | ||||
\(250\) | −11.4171 | − | 4.15548i | −0.722080 | − | 0.262816i | ||||
\(251\) | 3.99144 | − | 22.6366i | 0.251937 | − | 1.42881i | −0.551877 | − | 0.833926i | \(-0.686088\pi\) |
0.803814 | − | 0.594881i | \(-0.202801\pi\) | |||||||
\(252\) | 1.97928 | + | 11.2251i | 0.124683 | + | 0.707113i | ||||
\(253\) | 4.29300 | − | 1.56253i | 0.269899 | − | 0.0982352i | ||||
\(254\) | 5.83359 | − | 10.1041i | 0.366032 | − | 0.633986i | ||||
\(255\) | 0.233944 | + | 0.405203i | 0.0146501 | + | 0.0253748i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 20.1362 | + | 16.8963i | 1.25606 | + | 1.05396i | 0.996090 | + | 0.0883472i | \(0.0281585\pi\) |
0.259974 | + | 0.965616i | \(0.416286\pi\) | |||||||
\(258\) | −0.473612 | − | 0.820320i | −0.0294858 | − | 0.0510709i | ||||
\(259\) | 12.3878 | − | 21.4563i | 0.769741 | − | 1.33323i | ||||
\(260\) | 11.3119 | − | 4.11719i | 0.701533 | − | 0.255337i | ||||
\(261\) | −1.02143 | − | 5.79281i | −0.0632248 | − | 0.358566i | ||||
\(262\) | −0.443273 | + | 2.51392i | −0.0273855 | + | 0.155311i | ||||
\(263\) | −20.1256 | − | 7.32511i | −1.24100 | − | 0.451686i | −0.363646 | − | 0.931537i | \(-0.618468\pi\) |
−0.877350 | + | 0.479852i | \(0.840691\pi\) | |||||||
\(264\) | 0.0747457 | − | 0.0627191i | 0.00460028 | − | 0.00386009i | ||||
\(265\) | 6.61498 | 0.406355 | ||||||||
\(266\) | −7.06553 | − | 15.0367i | −0.433215 | − | 0.921960i | ||||
\(267\) | 0.242239 | 0.0148248 | ||||||||
\(268\) | −7.20133 | + | 6.04263i | −0.439891 | + | 0.369112i | ||||
\(269\) | −25.1365 | − | 9.14895i | −1.53260 | − | 0.557821i | −0.568345 | − | 0.822791i | \(-0.692416\pi\) |
−0.964257 | + | 0.264969i | \(0.914638\pi\) | |||||||
\(270\) | −0.191679 | + | 1.08707i | −0.0116652 | + | 0.0661567i | ||||
\(271\) | 3.47838 | + | 19.7269i | 0.211297 | + | 1.19832i | 0.887218 | + | 0.461350i | \(0.152635\pi\) |
−0.675922 | + | 0.736974i | \(0.736254\pi\) | |||||||
\(272\) | −2.38608 | + | 0.868462i | −0.144677 | + | 0.0526582i | ||||
\(273\) | 1.18533 | − | 2.05305i | 0.0717392 | − | 0.124256i | ||||
\(274\) | 7.10292 | + | 12.3026i | 0.429103 | + | 0.743228i | ||||
\(275\) | −1.09826 | − | 0.921549i | −0.0662275 | − | 0.0555715i | ||||
\(276\) | 0.341477 | + | 0.286533i | 0.0205545 | + | 0.0172473i | ||||
\(277\) | −0.752827 | − | 1.30393i | −0.0452330 | − | 0.0783458i | 0.842522 | − | 0.538661i | \(-0.181070\pi\) |
−0.887755 | + | 0.460315i | \(0.847736\pi\) | |||||||
\(278\) | 6.47493 | − | 11.2149i | 0.388341 | − | 0.672626i | ||||
\(279\) | −28.3893 | + | 10.3328i | −1.69962 | + | 0.618611i | ||||
\(280\) | 1.24991 | + | 7.08857i | 0.0746962 | + | 0.423623i | ||||
\(281\) | 0.457921 | − | 2.59700i | 0.0273173 | − | 0.154924i | −0.968098 | − | 0.250572i | \(-0.919381\pi\) |
0.995415 | + | 0.0956482i | \(0.0304924\pi\) | |||||||
\(282\) | −0.0131610 | − | 0.00479022i | −0.000783727 | − | 0.000285253i | ||||
\(283\) | 0.309878 | − | 0.260018i | 0.0184203 | − | 0.0154565i | −0.633531 | − | 0.773717i | \(-0.718395\pi\) |
0.651951 | + | 0.758261i | \(0.273951\pi\) | |||||||
\(284\) | −9.48963 | −0.563106 | ||||||||
\(285\) | −0.0723504 | − | 0.799927i | −0.00428567 | − | 0.0473836i | ||||
\(286\) | 6.37439 | 0.376926 | ||||||||
\(287\) | 3.46572 | − | 2.90808i | 0.204575 | − | 0.171659i | ||||
\(288\) | −2.81013 | − | 1.02280i | −0.165589 | − | 0.0602693i | ||||
\(289\) | −1.83240 | + | 10.3921i | −0.107788 | + | 0.611299i | ||||
\(290\) | −0.645026 | − | 3.65813i | −0.0378772 | − | 0.214813i | ||||
\(291\) | −1.35551 | + | 0.493365i | −0.0794613 | + | 0.0289216i | ||||
\(292\) | −1.81168 | + | 3.13792i | −0.106021 | + | 0.183633i | ||||
\(293\) | −6.78712 | − | 11.7556i | −0.396508 | − | 0.686772i | 0.596784 | − | 0.802402i | \(-0.296445\pi\) |
−0.993292 | + | 0.115630i | \(0.963111\pi\) | |||||||
\(294\) | 0.562656 | + | 0.472124i | 0.0328148 | + | 0.0275349i | ||||
\(295\) | −13.4590 | − | 11.2935i | −0.783615 | − | 0.657531i | ||||
\(296\) | 3.25011 | + | 5.62935i | 0.188909 | + | 0.327199i | ||||
\(297\) | −0.292256 | + | 0.506203i | −0.0169584 | + | 0.0293729i | ||||
\(298\) | −16.3487 | + | 5.95045i | −0.947056 | + | 0.344700i | ||||
\(299\) | 5.05690 | + | 28.6791i | 0.292448 | + | 1.65856i | ||||
\(300\) | 0.0242914 | − | 0.137764i | 0.00140247 | − | 0.00795379i | ||||
\(301\) | 34.7699 | + | 12.6552i | 2.00410 | + | 0.729434i | ||||
\(302\) | −0.201708 | + | 0.169253i | −0.0116070 | + | 0.00973944i | ||||
\(303\) | −0.436501 | −0.0250763 | ||||||||
\(304\) | 4.34341 | + | 0.367160i | 0.249112 | + | 0.0210580i | ||||
\(305\) | −12.6226 | −0.722768 | ||||||||
\(306\) | 5.81693 | − | 4.88098i | 0.332532 | − | 0.279027i | ||||
\(307\) | 27.4804 | + | 10.0021i | 1.56839 | + | 0.570848i | 0.972639 | − | 0.232321i | \(-0.0746319\pi\) |
0.595752 | + | 0.803168i | \(0.296854\pi\) | |||||||
\(308\) | −0.661862 | + | 3.75360i | −0.0377131 | + | 0.213881i | ||||
\(309\) | −0.230457 | − | 1.30699i | −0.0131103 | − | 0.0743519i | ||||
\(310\) | −17.9277 | + | 6.52513i | −1.01822 | + | 0.370603i | ||||
\(311\) | −15.9039 | + | 27.5464i | −0.901828 | + | 1.56201i | −0.0767087 | + | 0.997054i | \(0.524441\pi\) |
−0.825119 | + | 0.564958i | \(0.808892\pi\) | |||||||
\(312\) | 0.310986 | + | 0.538644i | 0.0176061 | + | 0.0304947i | ||||
\(313\) | −15.1354 | − | 12.7001i | −0.855505 | − | 0.717854i | 0.105490 | − | 0.994420i | \(-0.466359\pi\) |
−0.960995 | + | 0.276567i | \(0.910803\pi\) | |||||||
\(314\) | −6.15645 | − | 5.16587i | −0.347428 | − | 0.291527i | ||||
\(315\) | −10.7626 | − | 18.6414i | −0.606405 | − | 1.05032i | ||||
\(316\) | 0.424054 | − | 0.734483i | 0.0238549 | − | 0.0413179i | ||||
\(317\) | 22.4282 | − | 8.16319i | 1.25969 | − | 0.458491i | 0.376027 | − | 0.926609i | \(-0.377290\pi\) |
0.883666 | + | 0.468118i | \(0.155068\pi\) | |||||||
\(318\) | 0.0593500 | + | 0.336590i | 0.00332818 | + | 0.0188750i | ||||
\(319\) | 0.341560 | − | 1.93708i | 0.0191237 | − | 0.108456i | ||||
\(320\) | −1.77458 | − | 0.645895i | −0.0992022 | − | 0.0361066i | ||||
\(321\) | 0.319786 | − | 0.268332i | 0.0178487 | − | 0.0149769i | ||||
\(322\) | −17.4130 | −0.970386 | ||||||||
\(323\) | −6.32181 | + | 9.08511i | −0.351755 | + | 0.505509i | ||||
\(324\) | 8.91441 | 0.495245 | ||||||||
\(325\) | 7.00074 | − | 5.87432i | 0.388331 | − | 0.325848i | ||||
\(326\) | −0.841799 | − | 0.306390i | −0.0466230 | − | 0.0169694i | ||||
\(327\) | −0.217622 | + | 1.23419i | −0.0120345 | + | 0.0682510i | ||||
\(328\) | 0.206116 | + | 1.16894i | 0.0113809 | + | 0.0645441i | ||||
\(329\) | 0.514108 | − | 0.187120i | 0.0283437 | − | 0.0103163i | ||||
\(330\) | −0.0921325 | + | 0.159578i | −0.00507172 | + | 0.00878448i | ||||
\(331\) | 6.18379 | + | 10.7106i | 0.339892 | + | 0.588710i | 0.984412 | − | 0.175877i | \(-0.0562762\pi\) |
−0.644520 | + | 0.764587i | \(0.722943\pi\) | |||||||
\(332\) | −1.54431 | − | 1.29583i | −0.0847548 | − | 0.0711177i | ||||
\(333\) | −14.8910 | − | 12.4950i | −0.816019 | − | 0.684721i | ||||
\(334\) | −9.34561 | − | 16.1871i | −0.511369 | − | 0.885717i | ||||
\(335\) | 8.87644 | − | 15.3744i | 0.484972 | − | 0.839996i | ||||
\(336\) | −0.349474 | + | 0.127198i | −0.0190654 | + | 0.00693923i | ||||
\(337\) | 2.68852 | + | 15.2474i | 0.146453 | + | 0.830577i | 0.966189 | + | 0.257835i | \(0.0830091\pi\) |
−0.819736 | + | 0.572742i | \(0.805880\pi\) | |||||||
\(338\) | −4.79840 | + | 27.2131i | −0.260999 | + | 1.48020i | ||||
\(339\) | −1.34650 | − | 0.490087i | −0.0731319 | − | 0.0266178i | ||||
\(340\) | 3.67336 | − | 3.08232i | 0.199216 | − | 0.167162i | ||||
\(341\) | −10.1025 | −0.547079 | ||||||||
\(342\) | −12.5811 | + | 3.41069i | −0.680307 | + | 0.184429i | ||||
\(343\) | −2.01097 | −0.108582 | ||||||||
\(344\) | −7.43660 | + | 6.24005i | −0.400955 | + | 0.336441i | ||||
\(345\) | −0.791050 | − | 0.287919i | −0.0425887 | − | 0.0155010i | ||||
\(346\) | −2.73908 | + | 15.5341i | −0.147254 | + | 0.835119i | ||||
\(347\) | −4.42843 | − | 25.1148i | −0.237730 | − | 1.34824i | −0.836787 | − | 0.547529i | \(-0.815569\pi\) |
0.599056 | − | 0.800707i | \(-0.295543\pi\) | |||||||
\(348\) | 0.180349 | − | 0.0656418i | 0.00966774 | − | 0.00351877i | ||||
\(349\) | −7.90452 | + | 13.6910i | −0.423119 | + | 0.732864i | −0.996243 | − | 0.0866052i | \(-0.972398\pi\) |
0.573124 | + | 0.819469i | \(0.305731\pi\) | |||||||
\(350\) | 2.73223 | + | 4.73237i | 0.146044 | + | 0.252956i | ||||
\(351\) | −2.85421 | − | 2.39497i | −0.152347 | − | 0.127834i | ||||
\(352\) | −0.766044 | − | 0.642788i | −0.0408303 | − | 0.0342607i | ||||
\(353\) | 17.0924 | + | 29.6050i | 0.909739 | + | 1.57571i | 0.814426 | + | 0.580267i | \(0.197052\pi\) |
0.0953127 | + | 0.995447i | \(0.469615\pi\) | |||||||
\(354\) | 0.453891 | − | 0.786162i | 0.0241240 | − | 0.0417841i | ||||
\(355\) | 16.8401 | − | 6.12931i | 0.893781 | − | 0.325310i | ||||
\(356\) | −0.431104 | − | 2.44491i | −0.0228484 | − | 0.129580i | ||||
\(357\) | 0.163983 | − | 0.929993i | 0.00867890 | − | 0.0492205i | ||||
\(358\) | −11.2578 | − | 4.09750i | −0.594993 | − | 0.216560i | ||||
\(359\) | −20.1488 | + | 16.9068i | −1.06341 | + | 0.892308i | −0.994439 | − | 0.105310i | \(-0.966416\pi\) |
−0.0689722 | + | 0.997619i | \(0.521972\pi\) | |||||||
\(360\) | 5.64743 | 0.297646 | ||||||||
\(361\) | 16.3984 | − | 9.59640i | 0.863076 | − | 0.505074i | ||||
\(362\) | −7.39779 | −0.388819 | ||||||||
\(363\) | −0.0747457 | + | 0.0627191i | −0.00392313 | + | 0.00329190i | ||||
\(364\) | −22.8308 | − | 8.30974i | −1.19666 | − | 0.435549i | ||||
\(365\) | 1.18821 | − | 6.73866i | 0.0621936 | − | 0.352717i | ||||
\(366\) | −0.113251 | − | 0.642277i | −0.00591971 | − | 0.0335724i | ||||
\(367\) | −16.9014 | + | 6.15162i | −0.882248 | + | 0.321112i | −0.743117 | − | 0.669162i | \(-0.766653\pi\) |
−0.139132 | + | 0.990274i | \(0.544431\pi\) | |||||||
\(368\) | 2.28426 | − | 3.95645i | 0.119075 | − | 0.206244i | ||||
\(369\) | −1.77482 | − | 3.07407i | −0.0923932 | − | 0.160030i | ||||
\(370\) | −9.40355 | − | 7.89052i | −0.488868 | − | 0.410209i | ||||
\(371\) | −10.2275 | − | 8.58188i | −0.530985 | − | 0.445549i | ||||
\(372\) | −0.492867 | − | 0.853670i | −0.0255540 | − | 0.0442608i | ||||
\(373\) | 2.03119 | − | 3.51812i | 0.105171 | − | 0.182161i | −0.808637 | − | 0.588308i | \(-0.799794\pi\) |
0.913808 | + | 0.406146i | \(0.133128\pi\) | |||||||
\(374\) | 2.38608 | − | 0.868462i | 0.123381 | − | 0.0449071i | ||||
\(375\) | 0.205860 | + | 1.16749i | 0.0106306 | + | 0.0602889i | ||||
\(376\) | −0.0249254 | + | 0.141359i | −0.00128543 | + | 0.00729002i | ||||
\(377\) | 11.7821 | + | 4.28832i | 0.606807 | + | 0.220860i | ||||
\(378\) | 1.70665 | − | 1.43205i | 0.0877807 | − | 0.0736567i | ||||
\(379\) | −16.9146 | −0.868844 | −0.434422 | − | 0.900709i | \(-0.643047\pi\) | ||||
−0.434422 | + | 0.900709i | \(0.643047\pi\) | |||||||
\(380\) | −7.94488 | + | 2.15383i | −0.407564 | + | 0.110489i | ||||
\(381\) | −1.13841 | −0.0583224 | ||||||||
\(382\) | −1.26074 | + | 1.05788i | −0.0645050 | + | 0.0541261i | ||||
\(383\) | −22.8178 | − | 8.30501i | −1.16594 | − | 0.424366i | −0.314722 | − | 0.949184i | \(-0.601911\pi\) |
−0.851215 | + | 0.524818i | \(0.824134\pi\) | |||||||
\(384\) | 0.0169435 | − | 0.0960912i | 0.000864643 | − | 0.00490363i | ||||
\(385\) | −1.24991 | − | 7.08857i | −0.0637012 | − | 0.361267i | ||||
\(386\) | 4.52044 | − | 1.64531i | 0.230085 | − | 0.0837439i | ||||
\(387\) | 14.5155 | − | 25.1415i | 0.737863 | − | 1.27802i | ||||
\(388\) | 7.39187 | + | 12.8031i | 0.375265 | + | 0.649979i | ||||
\(389\) | −27.2989 | − | 22.9065i | −1.38411 | − | 1.16141i | −0.967663 | − | 0.252247i | \(-0.918831\pi\) |
−0.416447 | − | 0.909160i | \(-0.636725\pi\) | |||||||
\(390\) | −0.899778 | − | 0.755003i | −0.0455620 | − | 0.0382311i | ||||
\(391\) | 5.80022 | + | 10.0463i | 0.293330 | + | 0.508062i | ||||
\(392\) | 3.76380 | − | 6.51910i | 0.190101 | − | 0.329264i | ||||
\(393\) | 0.234055 | − | 0.0851892i | 0.0118065 | − | 0.00429723i | ||||
\(394\) | −4.29536 | − | 24.3602i | −0.216397 | − | 1.22725i | ||||
\(395\) | −0.278120 | + | 1.57730i | −0.0139937 | + | 0.0793624i | ||||
\(396\) | 2.81013 | + | 1.02280i | 0.141214 | + | 0.0513978i | ||||
\(397\) | 11.3019 | − | 9.48344i | 0.567227 | − | 0.475960i | −0.313497 | − | 0.949589i | \(-0.601501\pi\) |
0.880724 | + | 0.473629i | \(0.157056\pi\) | |||||||
\(398\) | −18.0107 | −0.902796 | ||||||||
\(399\) | −0.925916 | + | 1.33064i | −0.0463538 | + | 0.0666152i | ||||
\(400\) | −1.43368 | −0.0716838 | ||||||||
\(401\) | −7.43444 | + | 6.23823i | −0.371258 | + | 0.311523i | −0.809259 | − | 0.587452i | \(-0.800131\pi\) |
0.438001 | + | 0.898975i | \(0.355687\pi\) | |||||||
\(402\) | 0.861939 | + | 0.313720i | 0.0429896 | + | 0.0156469i | ||||
\(403\) | 11.1824 | − | 63.4187i | 0.557037 | − | 3.15911i | ||||
\(404\) | 0.776826 | + | 4.40560i | 0.0386485 | + | 0.219187i | ||||
\(405\) | −15.8193 | + | 5.75777i | −0.786070 | + | 0.286106i | ||||
\(406\) | −3.74855 | + | 6.49269i | −0.186038 | + | 0.322227i | ||||
\(407\) | −3.25011 | − | 5.62935i | −0.161102 | − | 0.279037i | ||||
\(408\) | 0.189795 | + | 0.159257i | 0.00939627 | + | 0.00788440i | ||||
\(409\) | 3.28984 | + | 2.76050i | 0.162672 | + | 0.136498i | 0.720490 | − | 0.693465i | \(-0.243917\pi\) |
−0.557818 | + | 0.829963i | \(0.688361\pi\) | |||||||
\(410\) | −1.12079 | − | 1.94126i | −0.0553517 | − | 0.0958719i | ||||
\(411\) | 0.693057 | − | 1.20041i | 0.0341860 | − | 0.0592119i | ||||
\(412\) | −12.7813 | + | 4.65200i | −0.629687 | + | 0.229187i | ||||
\(413\) | 6.15767 | + | 34.9219i | 0.302999 | + | 1.71839i | ||||
\(414\) | −2.37239 | + | 13.4545i | −0.116597 | + | 0.661253i | ||||
\(415\) | 3.57746 | + | 1.30209i | 0.175611 | + | 0.0639171i | ||||
\(416\) | 4.88307 | − | 4.09738i | 0.239412 | − | 0.200891i | ||||
\(417\) | −1.26356 | −0.0618770 | ||||||||
\(418\) | −4.34341 | − | 0.367160i | −0.212443 | − | 0.0179584i | ||||
\(419\) | −12.0304 | −0.587726 | −0.293863 | − | 0.955848i | \(-0.594941\pi\) | ||||
−0.293863 | + | 0.955848i | \(0.594941\pi\) | |||||||
\(420\) | 0.538014 | − | 0.451447i | 0.0262524 | − | 0.0220284i | ||||
\(421\) | 4.82920 | + | 1.75768i | 0.235361 | + | 0.0856642i | 0.457008 | − | 0.889463i | \(-0.348921\pi\) |
−0.221647 | + | 0.975127i | \(0.571143\pi\) | |||||||
\(422\) | −2.90219 | + | 16.4591i | −0.141276 | + | 0.801218i | ||||
\(423\) | −0.0745388 | − | 0.422731i | −0.00362420 | − | 0.0205539i | ||||
\(424\) | 3.29158 | − | 1.19804i | 0.159853 | − | 0.0581817i | ||||
\(425\) | 1.82020 | − | 3.15269i | 0.0882929 | − | 0.152928i | ||||
\(426\) | 0.462969 | + | 0.801885i | 0.0224309 | + | 0.0388515i | ||||
\(427\) | 19.5159 | + | 16.3758i | 0.944443 | + | 0.792482i | ||||
\(428\) | −3.27738 | − | 2.75005i | −0.158418 | − | 0.132929i | ||||
\(429\) | −0.310986 | − | 0.538644i | −0.0150146 | − | 0.0260060i | ||||
\(430\) | 9.16644 | − | 15.8767i | 0.442045 | − | 0.765645i | ||||
\(431\) | 36.0313 | − | 13.1143i | 1.73557 | − | 0.631694i | 0.736564 | − | 0.676368i | \(-0.236447\pi\) |
0.999002 | + | 0.0446741i | \(0.0142249\pi\) | |||||||
\(432\) | 0.101500 | + | 0.575632i | 0.00488340 | + | 0.0276951i | ||||
\(433\) | −1.41983 | + | 8.05223i | −0.0682325 | + | 0.386966i | 0.931498 | + | 0.363747i | \(0.118503\pi\) |
−0.999730 | + | 0.0232190i | \(0.992608\pi\) | |||||||
\(434\) | 36.1835 | + | 13.1697i | 1.73686 | + | 0.632166i | ||||
\(435\) | −0.277647 | + | 0.232974i | −0.0133122 | + | 0.0111702i | ||||
\(436\) | 12.8440 | 0.615115 | ||||||||
\(437\) | −1.79380 | − | 19.8328i | −0.0858090 | − | 0.948730i | ||||
\(438\) | 0.353544 | 0.0168930 | ||||||||
\(439\) | 8.37024 | − | 7.02347i | 0.399490 | − | 0.335212i | −0.420807 | − | 0.907150i | \(-0.638253\pi\) |
0.820296 | + | 0.571939i | \(0.193808\pi\) | |||||||
\(440\) | 1.77458 | + | 0.645895i | 0.0845999 | + | 0.0307918i | ||||
\(441\) | −3.90902 | + | 22.1691i | −0.186144 | + | 1.05567i | ||||
\(442\) | 2.81066 | + | 15.9400i | 0.133689 | + | 0.758190i | ||||
\(443\) | −37.4604 | + | 13.6345i | −1.77980 | + | 0.647793i | −0.780039 | + | 0.625731i | \(0.784801\pi\) |
−0.999757 | + | 0.0220616i | \(0.992977\pi\) | |||||||
\(444\) | 0.317125 | − | 0.549276i | 0.0150501 | − | 0.0260675i | ||||
\(445\) | 2.34419 | + | 4.06025i | 0.111125 | + | 0.192474i | ||||
\(446\) | 3.99396 | + | 3.35133i | 0.189120 | + | 0.158690i | ||||
\(447\) | 1.30042 | + | 1.09118i | 0.0615078 | + | 0.0516112i | ||||
\(448\) | 1.90575 | + | 3.30086i | 0.0900384 | + | 0.155951i | ||||
\(449\) | −0.412767 | + | 0.714933i | −0.0194797 | + | 0.0337398i | −0.875601 | − | 0.483035i | \(-0.839534\pi\) |
0.856121 | + | 0.516775i | \(0.172868\pi\) | |||||||
\(450\) | 4.02882 | − | 1.46637i | 0.189920 | − | 0.0691253i | ||||
\(451\) | −0.206116 | − | 1.16894i | −0.00970564 | − | 0.0550434i | ||||
\(452\) | −2.55011 | + | 14.4624i | −0.119947 | + | 0.680254i | ||||
\(453\) | 0.0241428 | + | 0.00878727i | 0.00113433 | + | 0.000412862i | ||||
\(454\) | −1.05687 | + | 0.886819i | −0.0496013 | + | 0.0416205i | ||||
\(455\) | 45.8824 | 2.15100 | ||||||||
\(456\) | −0.180876 | − | 0.384936i | −0.00847027 | − | 0.0180263i | ||||
\(457\) | −10.2987 | −0.481755 | −0.240878 | − | 0.970556i | \(-0.577435\pi\) | ||||
−0.240878 | + | 0.970556i | \(0.577435\pi\) | |||||||
\(458\) | 13.1370 | − | 11.0233i | 0.613852 | − | 0.515083i | ||||
\(459\) | −1.39469 | − | 0.507627i | −0.0650987 | − | 0.0236940i | ||||
\(460\) | −1.49815 | + | 8.49645i | −0.0698517 | + | 0.396149i | ||||
\(461\) | 0.768323 | + | 4.35737i | 0.0357844 | + | 0.202943i | 0.997458 | − | 0.0712524i | \(-0.0226996\pi\) |
−0.961674 | + | 0.274196i | \(0.911588\pi\) | |||||||
\(462\) | 0.349474 | − | 0.127198i | 0.0162590 | − | 0.00591779i | ||||
\(463\) | −3.06952 | + | 5.31656i | −0.142653 | + | 0.247082i | −0.928495 | − | 0.371346i | \(-0.878897\pi\) |
0.785842 | + | 0.618427i | \(0.212230\pi\) | |||||||
\(464\) | −0.983483 | − | 1.70344i | −0.0456570 | − | 0.0790803i | ||||
\(465\) | 1.42601 | + | 1.19657i | 0.0661298 | + | 0.0554895i | ||||
\(466\) | −17.2087 | − | 14.4398i | −0.797178 | − | 0.668911i | ||||
\(467\) | 19.4103 | + | 33.6196i | 0.898202 | + | 1.55573i | 0.829791 | + | 0.558074i | \(0.188459\pi\) |
0.0684104 | + | 0.997657i | \(0.478207\pi\) | |||||||
\(468\) | −9.53125 | + | 16.5086i | −0.440582 | + | 0.763110i | ||||
\(469\) | −33.6699 | + | 12.2548i | −1.55473 | + | 0.565875i | ||||
\(470\) | −0.0470708 | − | 0.266952i | −0.00217122 | − | 0.0123136i | ||||
\(471\) | −0.136169 | + | 0.772254i | −0.00627434 | + | 0.0355836i | ||||
\(472\) | −8.74249 | − | 3.18201i | −0.402406 | − | 0.146464i | ||||
\(473\) | 7.43660 | − | 6.24005i | 0.341935 | − | 0.286918i | ||||
\(474\) | −0.0827530 | −0.00380097 | ||||||||
\(475\) | −5.10854 | + | 3.59943i | −0.234396 | + | 0.165153i | ||||
\(476\) | −9.67823 | −0.443601 | ||||||||
\(477\) | −8.02440 | + | 6.73327i | −0.367412 | + | 0.308295i | ||||
\(478\) | 1.78313 | + | 0.649007i | 0.0815586 | + | 0.0296849i | ||||
\(479\) | −1.18829 | + | 6.73914i | −0.0542945 | + | 0.307919i | −0.999846 | − | 0.0175534i | \(-0.994412\pi\) |
0.945551 | + | 0.325473i | \(0.105523\pi\) | |||||||
\(480\) | 0.0319973 | + | 0.181466i | 0.00146047 | + | 0.00828273i | ||||
\(481\) | 38.9361 | − | 14.1716i | 1.77533 | − | 0.646168i | ||||
\(482\) | −9.81740 | + | 17.0042i | −0.447170 | + | 0.774521i | ||||
\(483\) | 0.849522 | + | 1.47142i | 0.0386546 | + | 0.0669517i | ||||
\(484\) | 0.766044 | + | 0.642788i | 0.0348202 | + | 0.0292176i | ||||
\(485\) | −21.3869 | − | 17.9458i | −0.971131 | − | 0.814876i | ||||
\(486\) | −1.31167 | − | 2.27189i | −0.0594987 | − | 0.103055i | ||||
\(487\) | −18.5342 | + | 32.1021i | −0.839863 | + | 1.45469i | 0.0501455 | + | 0.998742i | \(0.484032\pi\) |
−0.890009 | + | 0.455944i | \(0.849302\pi\) | |||||||
\(488\) | −6.28094 | + | 2.28607i | −0.284325 | + | 0.103486i | ||||
\(489\) | 0.0151784 | + | 0.0860808i | 0.000686390 | + | 0.00389271i | ||||
\(490\) | −2.46852 | + | 13.9997i | −0.111517 | + | 0.632442i | ||||
\(491\) | 14.9838 | + | 5.45365i | 0.676208 | + | 0.246120i | 0.657219 | − | 0.753700i | \(-0.271733\pi\) |
0.0189896 | + | 0.999820i | \(0.493955\pi\) | |||||||
\(492\) | 0.0887214 | − | 0.0744461i | 0.00399987 | − | 0.00335629i | ||||
\(493\) | 4.99454 | 0.224943 | ||||||||
\(494\) | 7.11259 | − | 26.8596i | 0.320011 | − | 1.20847i | ||||
\(495\) | −5.64743 | −0.253833 | ||||||||
\(496\) | −7.73894 | + | 6.49374i | −0.347489 | + | 0.291578i | ||||
\(497\) | −33.9885 | − | 12.3708i | −1.52459 | − | 0.554906i | ||||
\(498\) | −0.0341571 | + | 0.193715i | −0.00153062 | + | 0.00868057i | ||||
\(499\) | −3.06320 | − | 17.3723i | −0.137128 | − | 0.777690i | −0.973354 | − | 0.229306i | \(-0.926354\pi\) |
0.836227 | − | 0.548384i | \(-0.184757\pi\) | |||||||
\(500\) | 11.4171 | − | 4.15548i | 0.510588 | − | 0.185839i | ||||
\(501\) | −0.911884 | + | 1.57943i | −0.0407400 | + | 0.0705637i | ||||
\(502\) | 11.4929 | + | 19.9063i | 0.512952 | + | 0.888460i | ||||
\(503\) | 1.41525 | + | 1.18754i | 0.0631031 | + | 0.0529498i | 0.673794 | − | 0.738920i | \(-0.264664\pi\) |
−0.610691 | + | 0.791869i | \(0.709108\pi\) | |||||||
\(504\) | −8.73156 | − | 7.32665i | −0.388935 | − | 0.326355i | ||||
\(505\) | −4.22410 | − | 7.31635i | −0.187970 | − | 0.325573i | ||||
\(506\) | −2.28426 | + | 3.95645i | −0.101548 | + | 0.175886i | ||||
\(507\) | 2.53364 | − | 0.922168i | 0.112523 | − | 0.0409549i | ||||
\(508\) | 2.02598 | + | 11.4899i | 0.0898885 | + | 0.509783i | ||||
\(509\) | 7.22042 | − | 40.9490i | 0.320039 | − | 1.81503i | −0.222419 | − | 0.974951i | \(-0.571395\pi\) |
0.542459 | − | 0.840082i | \(-0.317493\pi\) | |||||||
\(510\) | −0.439671 | − | 0.160027i | −0.0194689 | − | 0.00708612i | ||||
\(511\) | −10.5794 | + | 8.87720i | −0.468007 | + | 0.392704i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 1.80687 | + | 1.79629i | 0.0797751 | + | 0.0793083i | ||||
\(514\) | −26.2860 | −1.15943 | ||||||||
\(515\) | 19.6767 | − | 16.5107i | 0.867059 | − | 0.727549i | ||||
\(516\) | 0.890099 | + | 0.323970i | 0.0391844 | + | 0.0142620i | ||||
\(517\) | 0.0249254 | − | 0.141359i | 0.00109622 | − | 0.00621695i | ||||
\(518\) | 4.30224 | + | 24.3992i | 0.189030 | + | 1.07204i | ||||
\(519\) | 1.44628 | − | 0.526404i | 0.0634847 | − | 0.0231066i | ||||
\(520\) | −6.01893 | + | 10.4251i | −0.263948 | + | 0.457170i | ||||
\(521\) | −9.10775 | − | 15.7751i | −0.399018 | − | 0.691119i | 0.594587 | − | 0.804031i | \(-0.297315\pi\) |
−0.993605 | + | 0.112912i | \(0.963982\pi\) | |||||||
\(522\) | 4.50600 | + | 3.78099i | 0.197222 | + | 0.165489i | ||||
\(523\) | −2.86353 | − | 2.40278i | −0.125213 | − | 0.105066i | 0.578031 | − | 0.816015i | \(-0.303821\pi\) |
−0.703244 | + | 0.710949i | \(0.748266\pi\) | |||||||
\(524\) | −1.27635 | − | 2.21071i | −0.0557577 | − | 0.0965752i | ||||
\(525\) | 0.266594 | − | 0.461754i | 0.0116351 | − | 0.0201526i | ||||
\(526\) | 20.1256 | − | 7.32511i | 0.877517 | − | 0.319390i | ||||
\(527\) | −4.45448 | − | 25.2626i | −0.194040 | − | 1.10046i | ||||
\(528\) | −0.0169435 | + | 0.0960912i | −0.000737370 | + | 0.00418183i | ||||
\(529\) | 2.00025 | + | 0.728032i | 0.0869674 | + | 0.0316536i | ||||
\(530\) | −5.06737 | + | 4.25203i | −0.220112 | + | 0.184696i | ||||
\(531\) | 27.8221 | 1.20738 | ||||||||
\(532\) | 15.0779 | + | 6.97716i | 0.653711 | + | 0.302498i | ||||
\(533\) | 7.56626 | 0.327731 | ||||||||
\(534\) | −0.185566 | + | 0.155708i | −0.00803021 | + | 0.00673815i | ||||
\(535\) | 7.59223 | + | 2.76335i | 0.328241 | + | 0.119470i | ||||
\(536\) | 1.63241 | − | 9.25785i | 0.0705093 | − | 0.399878i | ||||
\(537\) | 0.202988 | + | 1.15120i | 0.00875957 | + | 0.0496780i | ||||
\(538\) | 25.1365 | − | 9.14895i | 1.08371 | − | 0.394439i | ||||
\(539\) | −3.76380 | + | 6.51910i | −0.162118 | + | 0.280797i | ||||
\(540\) | −0.551918 | − | 0.955949i | −0.0237508 | − | 0.0411375i | ||||
\(541\) | 25.1583 | + | 21.1103i | 1.08164 | + | 0.907603i | 0.996056 | − | 0.0887285i | \(-0.0282804\pi\) |
0.0855828 | + | 0.996331i | \(0.472725\pi\) | |||||||
\(542\) | −15.3448 | − | 12.8758i | −0.659116 | − | 0.553064i | ||||
\(543\) | 0.360914 | + | 0.625122i | 0.0154883 | + | 0.0268266i | ||||
\(544\) | 1.26961 | − | 2.19902i | 0.0544339 | − | 0.0942823i | ||||
\(545\) | −22.7927 | + | 8.29586i | −0.976332 | + | 0.355356i | ||||
\(546\) | 0.411660 | + | 2.33464i | 0.0176174 | + | 0.0999133i | ||||
\(547\) | 5.10230 | − | 28.9366i | 0.218158 | − | 1.23724i | −0.657182 | − | 0.753732i | \(-0.728252\pi\) |
0.875341 | − | 0.483507i | \(-0.160637\pi\) | |||||||
\(548\) | −13.3491 | − | 4.85868i | −0.570246 | − | 0.207553i | ||||
\(549\) | 15.3121 | − | 12.8483i | 0.653503 | − | 0.548354i | ||||
\(550\) | 1.43368 | 0.0611321 | ||||||||
\(551\) | −7.78110 | − | 3.60063i | −0.331486 | − | 0.153392i | ||||
\(552\) | −0.445767 | −0.0189731 | ||||||||
\(553\) | 2.47629 | − | 2.07786i | 0.105303 | − | 0.0883595i | ||||
\(554\) | 1.41485 | + | 0.514964i | 0.0601113 | + | 0.0218787i | ||||
\(555\) | −0.207989 | + | 1.17956i | −0.00882864 | + | 0.0500697i | ||||
\(556\) | 2.24872 | + | 12.7531i | 0.0953670 | + | 0.540853i | ||||
\(557\) | −28.2029 | + | 10.2650i | −1.19499 | + | 0.434942i | −0.861475 | − | 0.507801i | \(-0.830459\pi\) |
−0.333520 | + | 0.942743i | \(0.608236\pi\) | |||||||
\(558\) | 15.1056 | − | 26.1637i | 0.639471 | − | 1.10760i | ||||
\(559\) | 30.9406 | + | 53.5908i | 1.30865 | + | 2.26665i | ||||
\(560\) | −5.51393 | − | 4.62674i | −0.233006 | − | 0.195515i | ||||
\(561\) | −0.189795 | − | 0.159257i | −0.00801316 | − | 0.00672384i | ||||
\(562\) | 1.31853 | + | 2.28376i | 0.0556188 | + | 0.0963347i | ||||
\(563\) | 1.78541 | − | 3.09242i | 0.0752461 | − | 0.130330i | −0.825947 | − | 0.563748i | \(-0.809359\pi\) |
0.901193 | + | 0.433417i | \(0.142692\pi\) | |||||||
\(564\) | 0.0131610 | − | 0.00479022i | 0.000554179 | − | 0.000201705i | ||||
\(565\) | −4.81581 | − | 27.3118i | −0.202603 | − | 1.14902i | ||||
\(566\) | −0.0702436 | + | 0.398371i | −0.00295256 | + | 0.0167448i | ||||
\(567\) | 31.9283 | + | 11.6209i | 1.34086 | + | 0.488033i | ||||
\(568\) | 7.26948 | − | 6.09982i | 0.305021 | − | 0.255943i | ||||
\(569\) | 29.0243 | 1.21676 | 0.608382 | − | 0.793645i | \(-0.291819\pi\) | ||||
0.608382 | + | 0.793645i | \(0.291819\pi\) | |||||||
\(570\) | 0.569607 | + | 0.566274i | 0.0238582 | + | 0.0237186i | ||||
\(571\) | −20.7613 | −0.868835 | −0.434418 | − | 0.900712i | \(-0.643046\pi\) | ||||
−0.434418 | + | 0.900712i | \(0.643046\pi\) | |||||||
\(572\) | −4.88307 | + | 4.09738i | −0.204171 | + | 0.171320i | ||||
\(573\) | 0.150900 | + | 0.0549231i | 0.00630393 | + | 0.00229444i | ||||
\(574\) | −0.785615 | + | 4.45544i | −0.0327909 | + | 0.185967i | ||||
\(575\) | 1.13736 | + | 6.45027i | 0.0474311 | + | 0.268995i | ||||
\(576\) | 2.81013 | − | 1.02280i | 0.117089 | − | 0.0426168i | ||||
\(577\) | 1.90972 | − | 3.30773i | 0.0795026 | − | 0.137702i | −0.823533 | − | 0.567269i | \(-0.808000\pi\) |
0.903035 | + | 0.429566i | \(0.141333\pi\) | |||||||
\(578\) | −5.27620 | − | 9.13864i | −0.219461 | − | 0.380117i | ||||
\(579\) | −0.359568 | − | 0.301714i | −0.0149431 | − | 0.0125388i | ||||
\(580\) | 2.84552 | + | 2.38767i | 0.118154 | + | 0.0991427i | ||||
\(581\) | −3.84190 | − | 6.65437i | −0.159389 | − | 0.276070i | ||||
\(582\) | 0.721251 | − | 1.24924i | 0.0298968 | − | 0.0517828i | ||||
\(583\) | −3.29158 | + | 1.19804i | −0.136323 | + | 0.0496176i | ||||
\(584\) | −0.629190 | − | 3.56831i | −0.0260361 | − | 0.147658i | ||||
\(585\) | 6.25116 | − | 35.4521i | 0.258453 | − | 1.46576i | ||||
\(586\) | 12.7556 | + | 4.64267i | 0.526930 | + | 0.191787i | ||||
\(587\) | −0.170036 | + | 0.142677i | −0.00701815 | + | 0.00588893i | −0.646290 | − | 0.763092i | \(-0.723680\pi\) |
0.639272 | + | 0.768981i | \(0.279236\pi\) | |||||||
\(588\) | −0.734495 | −0.0302901 | ||||||||
\(589\) | −11.2724 | + | 42.5684i | −0.464471 | + | 1.75400i | ||||
\(590\) | 17.5695 | 0.723326 | ||||||||
\(591\) | −1.84891 | + | 1.55142i | −0.0760540 | + | 0.0638169i | ||||
\(592\) | −6.10820 | − | 2.22320i | −0.251046 | − | 0.0913731i | ||||
\(593\) | 5.10038 | − | 28.9257i | 0.209448 | − | 1.18784i | −0.680838 | − | 0.732434i | \(-0.738384\pi\) |
0.890286 | − | 0.455402i | \(-0.150504\pi\) | |||||||
\(594\) | −0.101500 | − | 0.575632i | −0.00416458 | − | 0.0236185i | ||||
\(595\) | 17.1748 | − | 6.25113i | 0.704099 | − | 0.256271i | ||||
\(596\) | 8.69897 | − | 15.0671i | 0.356324 | − | 0.617171i | ||||
\(597\) | 0.878685 | + | 1.52193i | 0.0359622 | + | 0.0622884i | ||||
\(598\) | −22.3084 | − | 18.7190i | −0.912258 | − | 0.765475i | ||||
\(599\) | −5.09340 | − | 4.27387i | −0.208111 | − | 0.174626i | 0.532775 | − | 0.846257i | \(-0.321149\pi\) |
−0.740885 | + | 0.671632i | \(0.765594\pi\) | |||||||
\(600\) | 0.0699444 | + | 0.121147i | 0.00285547 | + | 0.00494582i | ||||
\(601\) | −8.89489 | + | 15.4064i | −0.362830 | + | 0.628441i | −0.988425 | − | 0.151707i | \(-0.951523\pi\) |
0.625595 | + | 0.780148i | \(0.284856\pi\) | |||||||
\(602\) | −34.7699 | + | 12.6552i | −1.41711 | + | 0.515788i | ||||
\(603\) | 4.88168 | + | 27.6854i | 0.198797 | + | 1.12744i | ||||
\(604\) | 0.0457236 | − | 0.259311i | 0.00186047 | − | 0.0105512i | ||||
\(605\) | −1.77458 | − | 0.645895i | −0.0721470 | − | 0.0262594i | ||||
\(606\) | 0.334379 | − | 0.280578i | 0.0135832 | − | 0.0113977i | ||||
\(607\) | 31.0441 | 1.26004 | 0.630021 | − | 0.776578i | \(-0.283046\pi\) | ||||
0.630021 | + | 0.776578i | \(0.283046\pi\) | |||||||
\(608\) | −3.56325 | + | 2.51063i | −0.144509 | + | 0.101819i | ||||
\(609\) | 0.731520 | 0.0296427 | ||||||||
\(610\) | 9.66948 | − | 8.11366i | 0.391506 | − | 0.328512i | ||||
\(611\) | 0.859797 | + | 0.312941i | 0.0347837 | + | 0.0126602i | ||||
\(612\) | −1.31859 | + | 7.47810i | −0.0533009 | + | 0.302284i | ||||
\(613\) | 5.00116 | + | 28.3630i | 0.201995 | + | 1.14557i | 0.902099 | + | 0.431529i | \(0.142026\pi\) |
−0.700104 | + | 0.714041i | \(0.746863\pi\) | |||||||
\(614\) | −27.4804 | + | 10.0021i | −1.10902 | + | 0.403650i | ||||
\(615\) | −0.109359 | + | 0.189416i | −0.00440978 | + | 0.00763797i | ||||
\(616\) | −1.90575 | − | 3.30086i | −0.0767850 | − | 0.132996i | ||||
\(617\) | −13.8736 | − | 11.6414i | −0.558532 | − | 0.468664i | 0.319286 | − | 0.947658i | \(-0.396557\pi\) |
−0.877818 | + | 0.478994i | \(0.841001\pi\) | |||||||
\(618\) | 1.01666 | + | 0.853076i | 0.0408959 | + | 0.0343157i | ||||
\(619\) | 14.2275 | + | 24.6427i | 0.571851 | + | 0.990475i | 0.996376 | + | 0.0850588i | \(0.0271078\pi\) |
−0.424525 | + | 0.905416i | \(0.639559\pi\) | |||||||
\(620\) | 9.53911 | − | 16.5222i | 0.383100 | − | 0.663548i | ||||
\(621\) | 2.50931 | − | 0.913316i | 0.100695 | − | 0.0366501i | ||||
\(622\) | −5.52337 | − | 31.3246i | −0.221467 | − | 1.25600i | ||||
\(623\) | 1.64316 | − | 9.31880i | 0.0658316 | − | 0.373350i | ||||
\(624\) | −0.584463 | − | 0.212727i | −0.0233972 | − | 0.00851590i | ||||
\(625\) | −12.0853 | + | 10.1407i | −0.483411 | + | 0.405630i | ||||
\(626\) | 19.7579 | 0.789684 | ||||||||
\(627\) | 0.180876 | + | 0.384936i | 0.00722347 | + | 0.0153729i | ||||
\(628\) | 8.03667 | 0.320698 | ||||||||
\(629\) | 12.6439 | − | 10.6095i | 0.504145 | − | 0.423028i | ||||
\(630\) | 20.2271 | + | 7.36207i | 0.805868 | + | 0.293312i | ||||
\(631\) | 4.93692 | − | 27.9987i | 0.196536 | − | 1.11461i | −0.713679 | − | 0.700473i | \(-0.752973\pi\) |
0.910215 | − | 0.414136i | \(-0.135916\pi\) | |||||||
\(632\) | 0.147272 | + | 0.835224i | 0.00585818 | + | 0.0332234i | ||||
\(633\) | 1.53240 | − | 0.557750i | 0.0609076 | − | 0.0221686i | ||||
\(634\) | −11.9338 | + | 20.6699i | −0.473951 | + | 0.820908i | ||||
\(635\) | −11.0166 | − | 19.0812i | −0.437179 | − | 0.757216i | ||||
\(636\) | −0.261821 | − | 0.219694i | −0.0103819 | − | 0.00871142i | ||||
\(637\) | −36.7578 | − | 30.8435i | −1.45640 | − | 1.22206i | ||||
\(638\) | 0.983483 | + | 1.70344i | 0.0389365 | + | 0.0674399i | ||||
\(639\) | −14.1893 | + | 24.5765i | −0.561319 | + | 0.972233i | ||||
\(640\) | 1.77458 | − | 0.645895i | 0.0701465 | − | 0.0255313i | ||||
\(641\) | −6.59254 | − | 37.3882i | −0.260390 | − | 1.47674i | −0.781849 | − | 0.623468i | \(-0.785723\pi\) |
0.521459 | − | 0.853276i | \(-0.325388\pi\) | |||||||
\(642\) | −0.0724896 | + | 0.411109i | −0.00286094 | + | 0.0162252i | ||||
\(643\) | 31.2082 | + | 11.3588i | 1.23073 | + | 0.447949i | 0.873847 | − | 0.486200i | \(-0.161617\pi\) |
0.356883 | + | 0.934149i | \(0.383840\pi\) | |||||||
\(644\) | 13.3391 | − | 11.1928i | 0.525634 | − | 0.441059i | ||||
\(645\) | −1.78881 | −0.0704341 | ||||||||
\(646\) | −0.997005 | − | 11.0232i | −0.0392266 | − | 0.433701i | ||||
\(647\) | 11.7952 | 0.463717 | 0.231859 | − | 0.972750i | \(-0.425519\pi\) | ||||
0.231859 | + | 0.972750i | \(0.425519\pi\) | |||||||
\(648\) | −6.82883 | + | 5.73007i | −0.268262 | + | 0.225098i | ||||
\(649\) | 8.74249 | + | 3.18201i | 0.343173 | + | 0.124905i | ||||
\(650\) | −1.58694 | + | 8.99997i | −0.0622448 | + | 0.353008i | ||||
\(651\) | −0.652419 | − | 3.70005i | −0.0255703 | − | 0.145017i | ||||
\(652\) | 0.841799 | − | 0.306390i | 0.0329674 | − | 0.0119992i | ||||
\(653\) | −2.28195 | + | 3.95245i | −0.0892995 | + | 0.154671i | −0.907215 | − | 0.420667i | \(-0.861796\pi\) |
0.817916 | + | 0.575338i | \(0.195129\pi\) | |||||||
\(654\) | −0.626616 | − | 1.08533i | −0.0245026 | − | 0.0424398i | ||||
\(655\) | 3.69288 | + | 3.09869i | 0.144293 | + | 0.121076i | ||||
\(656\) | −0.909277 | − | 0.762974i | −0.0355013 | − | 0.0297891i | ||||
\(657\) | 5.41779 | + | 9.38389i | 0.211368 | + | 0.366100i | ||||
\(658\) | −0.273551 | + | 0.473804i | −0.0106641 | + | 0.0184708i | ||||
\(659\) | 4.93999 | − | 1.79801i | 0.192435 | − | 0.0700404i | −0.244005 | − | 0.969774i | \(-0.578461\pi\) |
0.436440 | + | 0.899733i | \(0.356239\pi\) | |||||||
\(660\) | −0.0319973 | − | 0.181466i | −0.00124549 | − | 0.00706354i | ||||
\(661\) | 7.12344 | − | 40.3990i | 0.277070 | − | 1.57134i | −0.455240 | − | 0.890369i | \(-0.650447\pi\) |
0.732310 | − | 0.680972i | \(-0.238442\pi\) | |||||||
\(662\) | −11.6217 | − | 4.22996i | −0.451691 | − | 0.164402i | ||||
\(663\) | 1.20983 | − | 1.01517i | 0.0469859 | − | 0.0394258i | ||||
\(664\) | 2.01595 | 0.0782339 | ||||||||
\(665\) | −31.2635 | − | 2.64279i | −1.21235 | − | 0.102483i | ||||
\(666\) | 19.4388 | 0.753236 | ||||||||
\(667\) | −6.88377 | + | 5.77617i | −0.266541 | + | 0.223654i | ||||
\(668\) | 17.5640 | + | 6.39277i | 0.679572 | + | 0.247344i | ||||
\(669\) | 0.0883390 | − | 0.500995i | 0.00341538 | − | 0.0193696i | ||||
\(670\) | 3.08276 | + | 17.4832i | 0.119097 | + | 0.675434i | ||||
\(671\) | 6.28094 | − | 2.28607i | 0.242473 | − | 0.0882529i | ||||
\(672\) | 0.185951 | − | 0.322077i | 0.00717323 | − | 0.0124244i | ||||
\(673\) | 14.3103 | + | 24.7862i | 0.551622 | + | 0.955437i | 0.998158 | + | 0.0606716i | \(0.0193242\pi\) |
−0.446536 | + | 0.894766i | \(0.647342\pi\) | |||||||
\(674\) | −11.8603 | − | 9.95201i | −0.456843 | − | 0.383337i | ||||
\(675\) | −0.641946 | − | 0.538657i | −0.0247085 | − | 0.0207329i | ||||
\(676\) | −13.8164 | − | 23.9308i | −0.531402 | − | 0.920415i | ||||
\(677\) | −8.32452 | + | 14.4185i | −0.319937 | + | 0.554148i | −0.980475 | − | 0.196646i | \(-0.936995\pi\) |
0.660537 | + | 0.750793i | \(0.270328\pi\) | |||||||
\(678\) | 1.34650 | − | 0.490087i | 0.0517121 | − | 0.0188217i | ||||
\(679\) | 9.78479 | + | 55.4923i | 0.375506 | + | 2.12960i | ||||
\(680\) | −0.832683 | + | 4.72238i | −0.0319319 | + | 0.181095i | ||||
\(681\) | 0.126499 | + | 0.0460417i | 0.00484743 | + | 0.00176432i | ||||
\(682\) | 7.73894 | − | 6.49374i | 0.296339 | − | 0.248658i | ||||
\(683\) | −2.67552 | −0.102376 | −0.0511879 | − | 0.998689i | \(-0.516301\pi\) | ||||
−0.0511879 | + | 0.998689i | \(0.516301\pi\) | |||||||
\(684\) | 7.44532 | − | 10.6997i | 0.284679 | − | 0.409113i | ||||
\(685\) | 26.8273 | 1.02502 | ||||||||
\(686\) | 1.54049 | − | 1.29262i | 0.0588162 | − | 0.0493526i | ||||
\(687\) | −1.57239 | − | 0.572304i | −0.0599905 | − | 0.0218347i | ||||
\(688\) | 1.68574 | − | 9.56031i | 0.0642683 | − | 0.364483i | ||||
\(689\) | −3.87728 | − | 21.9891i | −0.147713 | − | 0.837719i | ||||
\(690\) | 0.791050 | − | 0.287919i | 0.0301148 | − | 0.0109609i | ||||
\(691\) | 4.20229 | − | 7.27858i | 0.159863 | − | 0.276890i | −0.774956 | − | 0.632015i | \(-0.782228\pi\) |
0.934819 | + | 0.355125i | \(0.115562\pi\) | |||||||
\(692\) | −7.88687 | − | 13.6605i | −0.299814 | − | 0.519293i | ||||
\(693\) | 8.73156 | + | 7.32665i | 0.331684 | + | 0.278316i | ||||
\(694\) | 19.5359 | + | 16.3926i | 0.741572 | + | 0.622253i | ||||
\(695\) | −12.2277 | − | 21.1790i | −0.463824 | − | 0.803367i | ||||
\(696\) | −0.0959619 | + | 0.166211i | −0.00363743 | + | 0.00630021i | ||||
\(697\) | 2.83222 | − | 1.03084i | 0.107278 | − | 0.0390460i | ||||
\(698\) | −2.74521 | − | 15.5689i | −0.103908 | − | 0.589290i | ||||
\(699\) | −0.380624 | + | 2.15863i | −0.0143965 | + | 0.0816468i | ||||
\(700\) | −5.13492 | − | 1.86896i | −0.194082 | − | 0.0706400i | ||||
\(701\) | −11.1388 | + | 9.34659i | −0.420708 | + | 0.353016i | −0.828432 | − | 0.560089i | \(-0.810767\pi\) |
0.407725 | + | 0.913105i | \(0.366322\pi\) | |||||||
\(702\) | 3.72591 | 0.140625 | ||||||||
\(703\) | −27.3467 | + | 7.41360i | −1.03140 | + | 0.279609i | ||||
\(704\) | 1.00000 | 0.0376889 | ||||||||
\(705\) | −0.0202613 | + | 0.0170013i | −0.000763086 | + | 0.000640305i | ||||
\(706\) | −32.1233 | − | 11.6919i | −1.20898 | − | 0.440031i | ||||
\(707\) | −2.96088 | + | 16.7920i | −0.111355 | + | 0.631527i | ||||
\(708\) | 0.157635 | + | 0.893991i | 0.00592427 | + | 0.0335982i | ||||
\(709\) | 14.7638 | − | 5.37359i | 0.554467 | − | 0.201810i | −0.0495629 | − | 0.998771i | \(-0.515783\pi\) |
0.604030 | + | 0.796961i | \(0.293561\pi\) | |||||||
\(710\) | −8.96045 | + | 15.5200i | −0.336280 | + | 0.582453i | ||||
\(711\) | −1.26813 | − | 2.19646i | −0.0475584 | − | 0.0823736i | ||||
\(712\) | 1.90180 | + | 1.59580i | 0.0712731 | + | 0.0598052i | ||||
\(713\) | 35.3555 | + | 29.6668i | 1.32407 | + | 1.11103i | ||||
\(714\) | 0.472170 | + | 0.817822i | 0.0176705 | + | 0.0306062i | ||||
\(715\) | 6.01893 | − | 10.4251i | 0.225095 | − | 0.389876i | ||||
\(716\) | 11.2578 | − | 4.09750i | 0.420724 | − | 0.153131i | ||||
\(717\) | −0.0321514 | − | 0.182340i | −0.00120072 | − | 0.00680960i | ||||
\(718\) | 4.56736 | − | 25.9028i | 0.170452 | − | 0.966683i | ||||
\(719\) | 15.3351 | + | 5.58152i | 0.571903 | + | 0.208156i | 0.611751 | − | 0.791050i | \(-0.290465\pi\) |
−0.0398484 | + | 0.999206i | \(0.512688\pi\) | |||||||
\(720\) | −4.32619 | + | 3.63010i | −0.161227 | + | 0.135286i | ||||
\(721\) | −51.8424 | −1.93071 | ||||||||
\(722\) | −6.39349 | + | 17.8920i | −0.237941 | + | 0.665871i | ||||
\(723\) | 1.91584 | 0.0712507 | ||||||||
\(724\) | 5.66704 | − | 4.75521i | 0.210614 | − | 0.176726i | ||||
\(725\) | 2.64992 | + | 0.964494i | 0.0984157 | + | 0.0358204i | ||||
\(726\) | 0.0169435 | − | 0.0960912i | 0.000628831 | − | 0.00356628i | ||||
\(727\) | −6.82685 | − | 38.7170i | −0.253194 | − | 1.43593i | −0.800666 | − | 0.599111i | \(-0.795521\pi\) |
0.547472 | − | 0.836824i | \(-0.315590\pi\) | |||||||
\(728\) | 22.8308 | − | 8.30974i | 0.846167 | − | 0.307979i | ||||
\(729\) | 13.2436 | − | 22.9386i | 0.490505 | − | 0.849579i | ||||
\(730\) | 3.42131 | + | 5.92587i | 0.126628 | + | 0.219326i | ||||
\(731\) | 18.8831 | + | 15.8448i | 0.698417 | + | 0.586042i | ||||
\(732\) | 0.499603 | + | 0.419217i | 0.0184659 | + | 0.0154947i | ||||
\(733\) | −10.9324 | − | 18.9355i | −0.403797 | − | 0.699397i | 0.590384 | − | 0.807123i | \(-0.298976\pi\) |
−0.994181 | + | 0.107726i | \(0.965643\pi\) | |||||||
\(734\) | 8.99307 | − | 15.5765i | 0.331940 | − | 0.574937i | ||||
\(735\) | 1.30342 | − | 0.474407i | 0.0480775 | − | 0.0174988i | ||||
\(736\) | 0.793315 | + | 4.49911i | 0.0292420 | + | 0.165840i | ||||
\(737\) | −1.63241 | + | 9.25785i | −0.0601305 | + | 0.341017i | ||||
\(738\) | 3.33556 | + | 1.21405i | 0.122784 | + | 0.0446896i | ||||
\(739\) | −31.5818 | + | 26.5003i | −1.16176 | + | 0.974830i | −0.999928 | − | 0.0119893i | \(-0.996184\pi\) |
−0.161828 | + | 0.986819i | \(0.551739\pi\) | |||||||
\(740\) | 12.2755 | 0.451255 | ||||||||
\(741\) | −2.61667 | + | 0.709369i | −0.0961256 | + | 0.0260593i | ||||
\(742\) | 13.3510 | 0.490132 | ||||||||
\(743\) | −4.71413 | + | 3.95563i | −0.172945 | + | 0.145118i | −0.725152 | − | 0.688589i | \(-0.758230\pi\) |
0.552207 | + | 0.833707i | \(0.313786\pi\) | |||||||
\(744\) | 0.926287 | + | 0.337141i | 0.0339593 | + | 0.0123602i | ||||
\(745\) | −5.70530 | + | 32.3564i | −0.209026 | + | 1.18545i | ||||
\(746\) | 0.705423 | + | 4.00066i | 0.0258274 | + | 0.146474i | ||||
\(747\) | −5.66508 | + | 2.06192i | −0.207274 | + | 0.0754417i | ||||
\(748\) | −1.26961 | + | 2.19902i | −0.0464214 | + | 0.0804042i | ||||
\(749\) | −8.15343 | − | 14.1222i | −0.297920 | − | 0.516012i | ||||
\(750\) | −0.908146 | − | 0.762025i | −0.0331608 | − | 0.0278252i | ||||
\(751\) | −2.06803 | − | 1.73528i | −0.0754635 | − | 0.0633214i | 0.604276 | − | 0.796775i | \(-0.293463\pi\) |
−0.679739 | + | 0.733454i | \(0.737907\pi\) | |||||||
\(752\) | −0.0717697 | − | 0.124309i | −0.00261717 | − | 0.00453308i | ||||
\(753\) | 1.12140 | − | 1.94232i | 0.0408661 | − | 0.0707822i | ||||
\(754\) | −11.7821 | + | 4.28832i | −0.429077 | + | 0.156171i | ||||
\(755\) | 0.0863477 | + | 0.489702i | 0.00314251 | + | 0.0178221i | ||||
\(756\) | −0.386866 | + | 2.19403i | −0.0140702 | + | 0.0797960i | ||||
\(757\) | −17.9880 | − | 6.54710i | −0.653785 | − | 0.237958i | −0.00623444 | − | 0.999981i | \(-0.501984\pi\) |
−0.647551 | + | 0.762022i | \(0.724207\pi\) | |||||||
\(758\) | 12.9573 | − | 10.8725i | 0.470631 | − | 0.394906i | ||||
\(759\) | 0.445767 | 0.0161803 | ||||||||
\(760\) | 4.70168 | − | 6.75680i | 0.170548 | − | 0.245095i | ||||
\(761\) | −26.3003 | −0.953384 | −0.476692 | − | 0.879070i | \(-0.658164\pi\) | ||||
−0.476692 | + | 0.879070i | \(0.658164\pi\) | |||||||
\(762\) | 0.872071 | − | 0.731755i | 0.0315918 | − | 0.0265087i | ||||
\(763\) | 46.0026 | + | 16.7436i | 1.66541 | + | 0.606158i | ||||
\(764\) | 0.285786 | − | 1.62077i | 0.0103394 | − | 0.0586375i | ||||
\(765\) | −2.49012 | − | 14.1222i | −0.0900305 | − | 0.510589i | ||||
\(766\) | 22.8178 | − | 8.30501i | 0.824442 | − | 0.300072i | ||||
\(767\) | −29.6523 | + | 51.3593i | −1.07068 | + | 1.85448i | ||||
\(768\) | 0.0487868 | + | 0.0845012i | 0.00176044 | + | 0.00304917i | ||||
\(769\) | 21.9987 | + | 18.4591i | 0.793292 | + | 0.665651i | 0.946558 | − | 0.322534i | \(-0.104535\pi\) |
−0.153266 | + | 0.988185i | \(0.548979\pi\) | |||||||
\(770\) | 5.51393 | + | 4.62674i | 0.198708 | + | 0.166736i | ||||
\(771\) | 1.28241 | + | 2.22120i | 0.0461848 | + | 0.0799945i | ||||
\(772\) | −2.40528 | + | 4.16606i | −0.0865678 | + | 0.149940i | ||||
\(773\) | −6.57621 | + | 2.39354i | −0.236530 | + | 0.0860898i | −0.457565 | − | 0.889176i | \(-0.651278\pi\) |
0.221036 | + | 0.975266i | \(0.429056\pi\) | |||||||
\(774\) | 5.04117 | + | 28.5899i | 0.181201 | + | 1.02764i | ||||
\(775\) | 2.51506 | − | 14.2636i | 0.0903437 | − | 0.512364i | ||||
\(776\) | −13.8922 | − | 5.05634i | −0.498700 | − | 0.181512i | ||||
\(777\) | 1.85187 | − | 1.55390i | 0.0664355 | − | 0.0557460i | ||||
\(778\) | 35.6362 | 1.27762 | ||||||||
\(779\) | −5.15553 | − | 0.435810i | −0.184716 | − | 0.0156145i | ||||
\(780\) | 1.17458 | 0.0420566 | ||||||||
\(781\) | −7.26948 | + | 6.09982i | −0.260122 | + | 0.218269i | ||||
\(782\) | −10.9009 | − | 3.96759i | −0.389814 | − | 0.141881i | ||||
\(783\) | 0.199646 | − | 1.13225i | 0.00713477 | − | 0.0404633i | ||||
\(784\) | 1.30715 | + | 7.41324i | 0.0466841 | + | 0.264759i | ||||
\(785\) | −14.2617 | + | 5.19085i | −0.509023 | + | 0.185269i | ||||
\(786\) | −0.124538 | + | 0.215707i | −0.00444213 | + | 0.00769400i | ||||
\(787\) | −20.5338 | − | 35.5656i | −0.731950 | − | 1.26778i | −0.956049 | − | 0.293208i | \(-0.905277\pi\) |
0.224098 | − | 0.974567i | \(-0.428056\pi\) | |||||||
\(788\) | 18.9489 | + | 15.9000i | 0.675026 | + | 0.566414i | ||||
\(789\) | −1.60084 | − | 1.34327i | −0.0569915 | − | 0.0478215i | ||||
\(790\) | −0.800814 | − | 1.38705i | −0.0284917 | − | 0.0493491i | ||||
\(791\) | −27.9870 | + | 48.4749i | −0.995102 | + | 1.72357i | ||||
\(792\) | −2.81013 | + | 1.02280i | −0.0998537 | + | 0.0363438i | ||||
\(793\) | 7.39857 | + | 41.9594i | 0.262731 | + | 1.49002i | ||||
\(794\) | −2.56194 | + | 14.5295i | −0.0909198 | + | 0.515632i | ||||
\(795\) | 0.606522 | + | 0.220756i | 0.0215111 | + | 0.00782940i | ||||
\(796\) | 13.7970 | − | 11.5771i | 0.489022 | − | 0.410338i | ||||
\(797\) | 24.4910 | 0.867514 | 0.433757 | − | 0.901030i | \(-0.357188\pi\) | ||||
0.433757 | + | 0.901030i | \(0.357188\pi\) | |||||||
\(798\) | −0.146025 | − | 1.61450i | −0.00516923 | − | 0.0571525i | ||||
\(799\) | 0.364477 | 0.0128943 | ||||||||
\(800\) | 1.09826 | − | 0.921549i | 0.0388293 | − | 0.0325817i | ||||
\(801\) | −6.97651 | − | 2.53924i | −0.246503 | − | 0.0897197i | ||||
\(802\) | 1.68525 | − | 9.55753i | 0.0595083 | − | 0.337488i | ||||
\(803\) | 0.629190 | + | 3.56831i | 0.0222036 | + | 0.125923i | ||||
\(804\) | −0.861939 | + | 0.313720i | −0.0303982 | + | 0.0110641i | ||||
\(805\) | −16.4419 | + | 28.4783i | −0.579502 | + | 1.00373i | ||||
\(806\) | 32.1985 | + | 55.7695i | 1.13415 | + | 1.96440i | ||||
\(807\) | −1.99943 | − | 1.67772i | −0.0703832 | − | 0.0590585i | ||||
\(808\) | −3.42695 | − | 2.87555i | −0.120560 | − | 0.101161i | ||||
\(809\) | −18.4832 | − | 32.0138i | −0.649835 | − | 1.12555i | −0.983162 | − | 0.182736i | \(-0.941505\pi\) |
0.333327 | − | 0.942811i | \(-0.391829\pi\) | |||||||
\(810\) | 8.41730 | − | 14.5792i | 0.295754 | − | 0.512261i | ||||
\(811\) | 46.1054 | − | 16.7810i | 1.61898 | − | 0.589260i | 0.635791 | − | 0.771861i | \(-0.280674\pi\) |
0.983187 | + | 0.182601i | \(0.0584518\pi\) | |||||||
\(812\) | −1.30186 | − | 7.38321i | −0.0456863 | − | 0.259100i | ||||
\(813\) | −0.339398 | + | 1.92482i | −0.0119032 | + | 0.0675065i | ||||
\(814\) | 6.10820 | + | 2.22320i | 0.214092 | + | 0.0779233i | ||||
\(815\) | −1.29595 | + | 1.08743i | −0.0453950 | + | 0.0380910i | ||||
\(816\) | −0.247760 | −0.00867334 | ||||||||
\(817\) | −17.9957 | − | 38.2980i | −0.629589 | − | 1.33988i | ||||
\(818\) | −4.29458 | −0.150157 | ||||||||
\(819\) | −55.6584 | + | 46.7029i | −1.94486 | + | 1.63193i | ||||
\(820\) | 2.10639 | + | 0.766663i | 0.0735583 | + | 0.0267730i | ||||
\(821\) | 0.0294416 | − | 0.166972i | 0.00102752 | − | 0.00582735i | −0.984290 | − | 0.176561i | \(-0.943503\pi\) |
0.985317 | + | 0.170734i | \(0.0546138\pi\) | |||||||
\(822\) | 0.240696 | + | 1.36506i | 0.00839524 | + | 0.0476118i | ||||
\(823\) | 9.15950 | − | 3.33378i | 0.319280 | − | 0.116208i | −0.177408 | − | 0.984137i | \(-0.556771\pi\) |
0.496688 | + | 0.867929i | \(0.334549\pi\) | |||||||
\(824\) | 6.80077 | − | 11.7793i | 0.236916 | − | 0.410350i | ||||
\(825\) | −0.0699444 | − | 0.121147i | −0.00243515 | − | 0.00421781i | ||||
\(826\) | −27.1644 | − | 22.7936i | −0.945171 | − | 0.793093i | ||||
\(827\) | 5.04432 | + | 4.23269i | 0.175408 | + | 0.147185i | 0.726265 | − | 0.687415i | \(-0.241255\pi\) |
−0.550857 | + | 0.834600i | \(0.685699\pi\) | |||||||
\(828\) | −6.83103 | − | 11.8317i | −0.237395 | − | 0.411180i | ||||
\(829\) | 0.183461 | − | 0.317763i | 0.00637185 | − | 0.0110364i | −0.862822 | − | 0.505508i | \(-0.831305\pi\) |
0.869194 | + | 0.494472i | \(0.164638\pi\) | |||||||
\(830\) | −3.57746 | + | 1.30209i | −0.124176 | + | 0.0451962i | ||||
\(831\) | −0.0255110 | − | 0.144680i | −0.000884967 | − | 0.00501890i | ||||
\(832\) | −1.10690 | + | 6.27755i | −0.0383749 | + | 0.217635i | ||||
\(833\) | −17.9615 | − | 6.53744i | −0.622328 | − | 0.226509i | ||||
\(834\) | 0.967947 | − | 0.812204i | 0.0335172 | − | 0.0281243i | ||||
\(835\) | −35.2978 | −1.22153 | ||||||||
\(836\) | 3.56325 | − | 2.51063i | 0.123238 | − | 0.0868319i | ||||
\(837\) | −5.90502 | −0.204107 | ||||||||
\(838\) | 9.21585 | − | 7.73302i | 0.318356 | − | 0.267133i | ||||
\(839\) | −22.7990 | − | 8.29817i | −0.787110 | − | 0.286485i | −0.0829758 | − | 0.996552i | \(-0.526442\pi\) |
−0.704134 | + | 0.710067i | \(0.748665\pi\) | |||||||
\(840\) | −0.121958 | + | 0.691658i | −0.00420795 | + | 0.0238645i | ||||
\(841\) | −4.36396 | − | 24.7492i | −0.150481 | − | 0.853422i | ||||
\(842\) | −4.82920 | + | 1.75768i | −0.166425 | + | 0.0605738i | ||||
\(843\) | 0.128654 | − | 0.222835i | 0.00443107 | − | 0.00767484i | ||||
\(844\) | −8.35652 | − | 14.4739i | −0.287643 | − | 0.498213i | ||||
\(845\) | 39.9752 | + | 33.5432i | 1.37519 | + | 1.15392i | ||||
\(846\) | 0.328826 | + | 0.275918i | 0.0113053 | + | 0.00948625i | ||||
\(847\) | 1.90575 | + | 3.30086i | 0.0654825 | + | 0.113419i | ||||
\(848\) | −1.75141 | + | 3.03353i | −0.0601437 | + | 0.104172i | ||||
\(849\) | 0.0370898 | − | 0.0134996i | 0.00127292 | − | 0.000463305i | ||||
\(850\) | 0.632150 | + | 3.58510i | 0.0216826 | + | 0.122968i | ||||
\(851\) | −5.15672 | + | 29.2452i | −0.176770 | + | 1.00251i | ||||
\(852\) | −0.870096 | − | 0.316689i | −0.0298090 | − | 0.0108496i | ||||
\(853\) | 36.6793 | − | 30.7776i | 1.25587 | − | 1.05380i | 0.259766 | − | 0.965672i | \(-0.416355\pi\) |
0.996109 | − | 0.0881324i | \(-0.0280898\pi\) | |||||||
\(854\) | −25.4763 | −0.871780 | ||||||||
\(855\) | −6.30144 | + | 23.7964i | −0.215505 | + | 0.813820i | ||||
\(856\) | 4.27832 | 0.146230 | ||||||||
\(857\) | 17.6496 | − | 14.8098i | 0.602900 | − | 0.505894i | −0.289476 | − | 0.957185i | \(-0.593481\pi\) |
0.892376 | + | 0.451292i | \(0.149037\pi\) | |||||||
\(858\) | 0.584463 | + | 0.212727i | 0.0199532 | + | 0.00726238i | ||||
\(859\) | 4.45250 | − | 25.2514i | 0.151917 | − | 0.861565i | −0.809633 | − | 0.586936i | \(-0.800334\pi\) |
0.961550 | − | 0.274629i | \(-0.0885550\pi\) | |||||||
\(860\) | 3.18347 | + | 18.0544i | 0.108556 | + | 0.615649i | ||||
\(861\) | 0.414818 | − | 0.150981i | 0.0141370 | − | 0.00514543i | ||||
\(862\) | −19.1718 | + | 33.2066i | −0.652995 | + | 1.13102i | ||||
\(863\) | −1.35332 | − | 2.34401i | −0.0460675 | − | 0.0797912i | 0.842072 | − | 0.539365i | \(-0.181336\pi\) |
−0.888140 | + | 0.459574i | \(0.848002\pi\) | |||||||
\(864\) | −0.447763 | − | 0.375717i | −0.0152332 | − | 0.0127822i | ||||
\(865\) | 22.8191 | + | 19.1475i | 0.775874 | + | 0.651036i | ||||
\(866\) | −4.08823 | − | 7.08102i | −0.138924 | − | 0.240623i | ||||
\(867\) | −0.514818 | + | 0.891690i | −0.0174841 | + | 0.0302834i | ||||
\(868\) | −36.1835 | + | 13.1697i | −1.22815 | + | 0.447009i | ||||
\(869\) | −0.147272 | − | 0.835224i | −0.00499588 | − | 0.0283330i | ||||
\(870\) | 0.0629375 | − | 0.356936i | 0.00213378 | − | 0.0121013i | ||||
\(871\) | −56.3097 | − | 20.4950i | −1.90798 | − | 0.694448i | ||||
\(872\) | −9.83905 | + | 8.25595i | −0.333192 | + | 0.279582i | ||||
\(873\) | 44.2105 | 1.49630 | ||||||||
\(874\) | 14.1224 | + | 14.0397i | 0.477697 | + | 0.474901i | ||||
\(875\) | 46.3091 | 1.56553 | ||||||||
\(876\) | −0.270831 | + | 0.227254i | −0.00915051 | + | 0.00767819i | ||||
\(877\) | −10.1049 | − | 3.67788i | −0.341218 | − | 0.124193i | 0.165727 | − | 0.986172i | \(-0.447003\pi\) |
−0.506945 | + | 0.861978i | \(0.669225\pi\) | |||||||
\(878\) | −1.89738 | + | 10.7606i | −0.0640335 | + | 0.363152i | ||||
\(879\) | −0.229995 | − | 1.30437i | −0.00775754 | − | 0.0439952i | ||||
\(880\) | −1.77458 | + | 0.645895i | −0.0598212 | + | 0.0217731i | ||||
\(881\) | 2.06160 | − | 3.57080i | 0.0694572 | − | 0.120303i | −0.829205 | − | 0.558944i | \(-0.811207\pi\) |
0.898662 | + | 0.438641i | \(0.144540\pi\) | |||||||
\(882\) | −11.2556 | − | 19.4952i | −0.378995 | − | 0.656438i | ||||
\(883\) | 8.73206 | + | 7.32707i | 0.293857 | + | 0.246576i | 0.777782 | − | 0.628534i | \(-0.216345\pi\) |
−0.483925 | + | 0.875110i | \(0.660789\pi\) | |||||||
\(884\) | −12.3992 | − | 10.4041i | −0.417029 | − | 0.349929i | ||||
\(885\) | −0.857160 | − | 1.48465i | −0.0288131 | − | 0.0499058i | ||||
\(886\) | 19.9322 | − | 34.5237i | 0.669637 | − | 1.15984i | ||||
\(887\) | −3.92642 | + | 1.42910i | −0.131836 | + | 0.0479845i | −0.407096 | − | 0.913385i | \(-0.633458\pi\) |
0.275259 | + | 0.961370i | \(0.411236\pi\) | |||||||
\(888\) | 0.110136 | + | 0.624613i | 0.00369593 | + | 0.0209607i | ||||
\(889\) | −7.72206 | + | 43.7940i | −0.258989 | + | 1.46880i | ||||
\(890\) | −4.40563 | − | 1.60352i | −0.147677 | − | 0.0537500i | ||||
\(891\) | 6.82883 | − | 5.73007i | 0.228774 | − | 0.191965i | ||||
\(892\) | −5.21375 | −0.174569 | ||||||||
\(893\) | −0.567827 | − | 0.262756i | −0.0190016 | − | 0.00879280i | ||||
\(894\) | −1.69758 | −0.0567756 | ||||||||
\(895\) | −17.3313 | + | 14.5427i | −0.579323 | + | 0.486110i | ||||
\(896\) | −3.58165 | − | 1.30361i | −0.119654 | − | 0.0435507i | ||||
\(897\) | −0.493420 | + | 2.79832i | −0.0164748 | + | 0.0934333i | ||||
\(898\) | −0.143352 | − | 0.812992i | −0.00478373 | − | 0.0271299i | ||||
\(899\) | 18.6728 | − | 6.79635i | 0.622773 | − | 0.226671i | ||||
\(900\) | −2.14369 | + | 3.71298i | −0.0714563 | + | 0.123766i | ||||
\(901\) | −4.44720 | − | 7.70278i | −0.148158 | − | 0.256617i | ||||
\(902\) | 0.909277 | + | 0.762974i | 0.0302756 | + | 0.0254043i | ||||
\(903\) | 2.76569 | + | 2.32069i | 0.0920364 | + | 0.0772277i | ||||
\(904\) | −7.34275 | − | 12.7180i | −0.244216 | − | 0.422995i | ||||
\(905\) | −6.98526 | + | 12.0988i | −0.232198 | + | 0.402179i | ||||
\(906\) | −0.0241428 | + | 0.00878727i | −0.000802092 | + | 0.000291937i | ||||
\(907\) | −4.97481 | − | 28.2136i | −0.165186 | − | 0.936816i | −0.948872 | − | 0.315660i | \(-0.897774\pi\) |
0.783686 | − | 0.621157i | \(-0.213337\pi\) | |||||||
\(908\) | 0.239573 | − | 1.35869i | 0.00795050 | − | 0.0450895i | ||||
\(909\) | 12.5713 | + | 4.57558i | 0.416963 | + | 0.151762i | ||||
\(910\) | −35.1480 | + | 29.4926i | −1.16514 | + | 0.977672i | ||||
\(911\) | −16.2010 | −0.536762 | −0.268381 | − | 0.963313i | \(-0.586489\pi\) | ||||
−0.268381 | + | 0.963313i | \(0.586489\pi\) | |||||||
\(912\) | 0.385991 | + | 0.178613i | 0.0127814 | + | 0.00591448i | ||||
\(913\) | −2.01595 | −0.0667181 | ||||||||
\(914\) | 7.88930 | − | 6.61991i | 0.260955 | − | 0.218967i | ||||
\(915\) | −1.15736 | − | 0.421243i | −0.0382610 | − | 0.0139259i | ||||
\(916\) | −2.97792 | + | 16.8886i | −0.0983932 | + | 0.558016i | ||||
\(917\) | −1.68954 | − | 9.58184i | −0.0557934 | − | 0.316420i | ||||
\(918\) | 1.39469 | − | 0.507627i | 0.0460317 | − | 0.0167542i | ||||
\(919\) | 29.4720 | − | 51.0469i | 0.972190 | − | 1.68388i | 0.283279 | − | 0.959038i | \(-0.408578\pi\) |
0.688911 | − | 0.724846i | \(-0.258089\pi\) | |||||||
\(920\) | −4.31376 | − | 7.47165i | −0.142220 | − | 0.246333i | ||||
\(921\) | 2.18587 | + | 1.83416i | 0.0720268 | + | 0.0604377i | ||||
\(922\) | −3.38944 | − | 2.84407i | −0.111625 | − | 0.0936646i | ||||
\(923\) | −30.2453 | − | 52.3864i | −0.995537 | − | 1.72432i | ||||
\(924\) | −0.185951 | + | 0.322077i | −0.00611735 | + | 0.0105956i | ||||
\(925\) | 8.75718 | − | 3.18735i | 0.287934 | − | 0.104800i | ||||
\(926\) | −1.06603 | − | 6.04577i | −0.0350320 | − | 0.198676i | ||||
\(927\) | −7.06316 | + | 40.0572i | −0.231985 | + | 1.31565i | ||||
\(928\) | 1.84834 | + | 0.672742i | 0.0606748 | + | 0.0220838i | ||||
\(929\) | 9.57408 | − | 8.03361i | 0.314115 | − | 0.263574i | −0.472075 | − | 0.881558i | \(-0.656495\pi\) |
0.786191 | + | 0.617984i | \(0.212050\pi\) | |||||||
\(930\) | −1.86153 | −0.0610420 | ||||||||
\(931\) | 23.2696 | + | 23.1335i | 0.762631 | + | 0.758168i | ||||
\(932\) | 22.4644 | 0.735845 | ||||||||
\(933\) | −2.37750 | + | 1.99496i | −0.0778358 | + | 0.0653120i | ||||
\(934\) | −36.4794 | − | 13.2774i | −1.19364 | − | 0.434451i | ||||
\(935\) | 0.832683 | − | 4.72238i | 0.0272317 | − | 0.154438i | ||||
\(936\) | −3.31017 | − | 18.7729i | −0.108196 | − | 0.613611i | ||||
\(937\) | −18.9669 | + | 6.90339i | −0.619622 | + | 0.225524i | −0.632708 | − | 0.774390i | \(-0.718057\pi\) |
0.0130862 | + | 0.999914i | \(0.495834\pi\) | |||||||
\(938\) | 17.9154 | − | 31.0303i | 0.584957 | − | 1.01318i | ||||
\(939\) | −0.963924 | − | 1.66957i | −0.0314565 | − | 0.0544842i | ||||
\(940\) | 0.207652 | + | 0.174241i | 0.00677286 | + | 0.00568310i | ||||
\(941\) | 1.25978 | + | 1.05708i | 0.0410677 | + | 0.0344599i | 0.663090 | − | 0.748539i | \(-0.269244\pi\) |
−0.622023 | + | 0.782999i | \(0.713689\pi\) | |||||||
\(942\) | −0.392083 | − | 0.679108i | −0.0127748 | − | 0.0221265i | ||||
\(943\) | −2.71136 | + | 4.69622i | −0.0882942 | + | 0.152930i | ||||
\(944\) | 8.74249 | − | 3.18201i | 0.284544 | − | 0.103565i | ||||
\(945\) | −0.730586 | − | 4.14336i | −0.0237660 | − | 0.134784i | ||||
\(946\) | −1.68574 | + | 9.56031i | −0.0548082 | + | 0.310832i | ||||
\(947\) | −1.17825 | − | 0.428849i | −0.0382880 | − | 0.0139357i | 0.322805 | − | 0.946465i | \(-0.395374\pi\) |
−0.361093 | + | 0.932530i | \(0.617596\pi\) | |||||||
\(948\) | 0.0633925 | − | 0.0531926i | 0.00205889 | − | 0.00172761i | ||||
\(949\) | −23.0967 | −0.749751 | ||||||||
\(950\) | 1.59970 | − | 6.04103i | 0.0519013 | − | 0.195997i | ||||
\(951\) | 2.32884 | 0.0755180 | ||||||||
\(952\) | 7.41396 | − | 6.22105i | 0.240288 | − | 0.201625i | ||||
\(953\) | −45.0886 | − | 16.4109i | −1.46056 | − | 0.531601i | −0.515042 | − | 0.857165i | \(-0.672224\pi\) |
−0.945520 | + | 0.325563i | \(0.894446\pi\) | |||||||
\(954\) | 1.81898 | − | 10.3160i | 0.0588918 | − | 0.333992i | ||||
\(955\) | 0.539699 | + | 3.06078i | 0.0174642 | + | 0.0990447i | ||||
\(956\) | −1.78313 | + | 0.649007i | −0.0576706 | + | 0.0209904i | ||||
\(957\) | 0.0959619 | − | 0.166211i | 0.00310201 | − | 0.00537284i | ||||
\(958\) | −3.42155 | − | 5.92630i | −0.110545 | − | 0.191470i | ||||
\(959\) | −41.4780 | − | 34.8042i | −1.33939 | − | 1.12389i | ||||
\(960\) | −0.141155 | − | 0.118443i | −0.00455576 | − | 0.00382274i | ||||
\(961\) | −35.5299 | − | 61.5396i | −1.14613 | − | 1.98515i | ||||
\(962\) | −20.7175 | + | 35.8837i | −0.667958 | + | 1.15694i | ||||
\(963\) | −12.0226 | + | 4.37588i | −0.387424 | + | 0.141011i | ||||
\(964\) | −3.40955 | − | 19.3365i | −0.109814 | − | 0.622787i | ||||
\(965\) | 1.57752 | − | 8.94658i | 0.0507823 | − | 0.288001i | ||||
\(966\) | −1.59658 | − | 0.581107i | −0.0513691 | − | 0.0186968i | ||||
\(967\) | 8.29571 | − | 6.96093i | 0.266772 | − | 0.223848i | −0.499582 | − | 0.866266i | \(-0.666513\pi\) |
0.766354 | + | 0.642418i | \(0.222069\pi\) | |||||||
\(968\) | −1.00000 | −0.0321412 | ||||||||
\(969\) | −0.882831 | + | 0.622034i | −0.0283606 | + | 0.0199826i | ||||
\(970\) | 27.9187 | 0.896415 | ||||||||
\(971\) | −28.3677 | + | 23.8033i | −0.910362 | + | 0.763884i | −0.972188 | − | 0.234203i | \(-0.924752\pi\) |
0.0618262 | + | 0.998087i | \(0.480308\pi\) | |||||||
\(972\) | 2.46514 | + | 0.897238i | 0.0790694 | + | 0.0287789i | ||||
\(973\) | −8.57102 | + | 48.6087i | −0.274774 | + | 1.55832i | ||||
\(974\) | −6.43685 | − | 36.5052i | −0.206250 | − | 1.16970i | ||||
\(975\) | 0.837930 | − | 0.304982i | 0.0268352 | − | 0.00976723i | ||||
\(976\) | 3.34202 | − | 5.78854i | 0.106975 | − | 0.185287i | ||||
\(977\) | −12.1386 | − | 21.0247i | −0.388348 | − | 0.672638i | 0.603880 | − | 0.797076i | \(-0.293621\pi\) |
−0.992227 | + | 0.124437i | \(0.960287\pi\) | |||||||
\(978\) | −0.0669590 | − | 0.0561853i | −0.00214111 | − | 0.00179661i | ||||
\(979\) | −1.90180 | − | 1.59580i | −0.0607819 | − | 0.0510020i | ||||
\(980\) | −7.10783 | − | 12.3111i | −0.227051 | − | 0.393265i | ||||
\(981\) | 19.2048 | − | 33.2637i | 0.613163 | − | 1.06203i | ||||
\(982\) | −14.9838 | + | 5.45365i | −0.478151 | + | 0.174033i | ||||
\(983\) | 5.53442 | + | 31.3872i | 0.176520 | + | 1.00110i | 0.936374 | + | 0.351003i | \(0.114159\pi\) |
−0.759854 | + | 0.650094i | \(0.774730\pi\) | |||||||
\(984\) | −0.0201115 | + | 0.114058i | −0.000641132 | + | 0.00363604i | ||||
\(985\) | −43.8961 | − | 15.9769i | −1.39865 | − | 0.509066i | ||||
\(986\) | −3.82604 | + | 3.21043i | −0.121846 | + | 0.102241i | ||||
\(987\) | 0.0533827 | 0.00169919 | ||||||||
\(988\) | 11.8164 | + | 25.1475i | 0.375931 | + | 0.800049i | ||||
\(989\) | −44.3502 | −1.41026 | ||||||||
\(990\) | 4.32619 | − | 3.63010i | 0.137495 | − | 0.115372i | ||||
\(991\) | −18.6992 | − | 6.80595i | −0.593999 | − | 0.216198i | 0.0274882 | − | 0.999622i | \(-0.491249\pi\) |
−0.621488 | + | 0.783424i | \(0.713471\pi\) | |||||||
\(992\) | 1.75427 | − | 9.94899i | 0.0556983 | − | 0.315881i | ||||
\(993\) | 0.209550 | + | 1.18842i | 0.00664986 | + | 0.0377132i | ||||
\(994\) | 33.9885 | − | 12.3708i | 1.07805 | − | 0.392378i | ||||
\(995\) | −17.0064 | + | 29.4559i | −0.539138 | + | 0.933815i | ||||
\(996\) | −0.0983516 | − | 0.170350i | −0.00311639 | − | 0.00539774i | ||||
\(997\) | 1.05720 | + | 0.887099i | 0.0334820 | + | 0.0280947i | 0.659375 | − | 0.751814i | \(-0.270821\pi\) |
−0.625893 | + | 0.779909i | \(0.715265\pi\) | |||||||
\(998\) | 13.5132 | + | 11.3390i | 0.427754 | + | 0.358928i | ||||
\(999\) | −1.89973 | − | 3.29043i | −0.0601047 | − | 0.104104i |
(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 | 418.2.j.c.177.3 | yes | 30 | |
19.4 | even | 9 | 7942.2.a.bz.1.7 | 15 | |||
19.15 | odd | 18 | 7942.2.a.cb.1.9 | 15 | |||
19.16 | even | 9 | inner | 418.2.j.c.111.3 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.j.c.111.3 | ✓ | 30 | 19.16 | even | 9 | inner | |
418.2.j.c.177.3 | yes | 30 | 1.1 | even | 1 | trivial | |
7942.2.a.bz.1.7 | 15 | 19.4 | even | 9 | |||
7942.2.a.cb.1.9 | 15 | 19.15 | odd | 18 |