Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(4,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.u (of order \(30\), degree \(8\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 34.25 | ||
Character | \(\chi\) | \(=\) | 225.34 |
Dual form | 225.2.u.a.139.25 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.965505 | + | 2.16856i | 0.682715 | + | 1.53340i | 0.838081 | + | 0.545546i | \(0.183678\pi\) |
−0.155366 | + | 0.987857i | \(0.549656\pi\) | |||||||
\(3\) | −0.975360 | − | 1.43132i | −0.563124 | − | 0.826372i | ||||
\(4\) | −2.43219 | + | 2.70122i | −1.21609 | + | 1.35061i | ||||
\(5\) | 2.21576 | + | 0.300654i | 0.990919 | + | 0.134457i | ||||
\(6\) | 2.16218 | − | 3.49707i | 0.882708 | − | 1.42767i | ||||
\(7\) | 2.25809 | + | 1.30371i | 0.853479 | + | 0.492756i | 0.861823 | − | 0.507209i | \(-0.169323\pi\) |
−0.00834440 | + | 0.999965i | \(0.502656\pi\) | |||||||
\(8\) | −3.69084 | − | 1.19923i | −1.30491 | − | 0.423991i | ||||
\(9\) | −1.09735 | + | 2.79210i | −0.365782 | + | 0.930701i | ||||
\(10\) | 1.48734 | + | 5.09530i | 0.470339 | + | 1.61127i | ||||
\(11\) | −0.754795 | + | 0.336057i | −0.227579 | + | 0.101325i | −0.517359 | − | 0.855769i | \(-0.673085\pi\) |
0.289779 | + | 0.957093i | \(0.406418\pi\) | |||||||
\(12\) | 6.23857 | + | 0.846576i | 1.80092 | + | 0.244386i | ||||
\(13\) | −0.594762 | + | 1.33586i | −0.164957 | + | 0.370500i | −0.977044 | − | 0.213036i | \(-0.931665\pi\) |
0.812087 | + | 0.583536i | \(0.198331\pi\) | |||||||
\(14\) | −0.646974 | + | 6.15555i | −0.172911 | + | 1.64514i | ||||
\(15\) | −1.73083 | − | 3.46471i | −0.446899 | − | 0.894584i | ||||
\(16\) | −0.203039 | − | 1.93179i | −0.0507598 | − | 0.482948i | ||||
\(17\) | −5.67281 | − | 1.84321i | −1.37586 | − | 0.447044i | −0.474553 | − | 0.880227i | \(-0.657390\pi\) |
−0.901306 | + | 0.433183i | \(0.857390\pi\) | |||||||
\(18\) | −7.11433 | + | 0.316127i | −1.67686 | + | 0.0745119i | ||||
\(19\) | 1.76500 | − | 5.43210i | 0.404918 | − | 1.24621i | −0.516046 | − | 0.856561i | \(-0.672597\pi\) |
0.920964 | − | 0.389648i | \(-0.127403\pi\) | |||||||
\(20\) | −6.20129 | + | 5.25401i | −1.38665 | + | 1.17483i | ||||
\(21\) | −0.336428 | − | 4.50364i | −0.0734146 | − | 0.982774i | ||||
\(22\) | −1.45752 | − | 1.31235i | −0.310744 | − | 0.279795i | ||||
\(23\) | 2.85090 | + | 0.299642i | 0.594454 | + | 0.0624796i | 0.396978 | − | 0.917828i | \(-0.370059\pi\) |
0.197476 | + | 0.980308i | \(0.436726\pi\) | |||||||
\(24\) | 1.88342 | + | 6.45245i | 0.384452 | + | 1.31710i | ||||
\(25\) | 4.81921 | + | 1.33236i | 0.963843 | + | 0.266472i | ||||
\(26\) | −3.47113 | −0.680745 | ||||||||
\(27\) | 5.06669 | − | 1.15265i | 0.975086 | − | 0.221828i | ||||
\(28\) | −9.01371 | + | 2.92873i | −1.70343 | + | 0.553479i | ||||
\(29\) | 0.136804 | + | 0.0290786i | 0.0254038 | + | 0.00539975i | 0.220596 | − | 0.975365i | \(-0.429200\pi\) |
−0.195192 | + | 0.980765i | \(0.562533\pi\) | |||||||
\(30\) | 5.84230 | − | 7.09861i | 1.06665 | − | 1.29602i | ||||
\(31\) | 7.92771 | − | 1.68509i | 1.42386 | − | 0.302650i | 0.569353 | − | 0.822093i | \(-0.307194\pi\) |
0.854505 | + | 0.519443i | \(0.173860\pi\) | |||||||
\(32\) | −2.72854 | + | 1.57532i | −0.482342 | + | 0.278480i | ||||
\(33\) | 1.21720 | + | 0.752577i | 0.211888 | + | 0.131007i | ||||
\(34\) | −1.48002 | − | 14.0815i | −0.253822 | − | 2.41495i | ||||
\(35\) | 4.61143 | + | 3.56762i | 0.779474 | + | 0.603038i | ||||
\(36\) | −4.87313 | − | 9.75509i | −0.812188 | − | 1.62585i | ||||
\(37\) | −5.44323 | − | 7.49197i | −0.894862 | − | 1.23167i | −0.972078 | − | 0.234657i | \(-0.924603\pi\) |
0.0772163 | − | 0.997014i | \(-0.475397\pi\) | |||||||
\(38\) | 13.4839 | − | 1.41722i | 2.18738 | − | 0.229903i | ||||
\(39\) | 2.49215 | − | 0.451648i | 0.399063 | − | 0.0723215i | ||||
\(40\) | −7.81748 | − | 3.76687i | −1.23605 | − | 0.595594i | ||||
\(41\) | −1.96953 | − | 0.876890i | −0.307589 | − | 0.136947i | 0.247137 | − | 0.968980i | \(-0.420510\pi\) |
−0.554726 | + | 0.832033i | \(0.687177\pi\) | |||||||
\(42\) | 9.44158 | − | 5.07785i | 1.45687 | − | 0.783529i | ||||
\(43\) | −8.27980 | − | 4.78035i | −1.26266 | − | 0.728996i | −0.289070 | − | 0.957308i | \(-0.593346\pi\) |
−0.973588 | + | 0.228312i | \(0.926679\pi\) | |||||||
\(44\) | 0.928042 | − | 2.85622i | 0.139908 | − | 0.430592i | ||||
\(45\) | −3.27092 | + | 5.85671i | −0.487600 | + | 0.873067i | ||||
\(46\) | 2.10277 | + | 6.47165i | 0.310036 | + | 0.954193i | ||||
\(47\) | 0.999222 | − | 4.70097i | 0.145751 | − | 0.685707i | −0.843216 | − | 0.537575i | \(-0.819341\pi\) |
0.988968 | − | 0.148132i | \(-0.0473261\pi\) | |||||||
\(48\) | −2.56697 | + | 2.17481i | −0.370510 | + | 0.313906i | ||||
\(49\) | −0.100680 | − | 0.174382i | −0.0143828 | − | 0.0249117i | ||||
\(50\) | 1.76368 | + | 11.7371i | 0.249422 | + | 1.65988i | ||||
\(51\) | 2.89482 | + | 9.91740i | 0.405355 | + | 1.38871i | ||||
\(52\) | −2.16187 | − | 4.85564i | −0.299798 | − | 0.673356i | ||||
\(53\) | −10.4505 | + | 3.39558i | −1.43549 | + | 0.466418i | −0.920488 | − | 0.390772i | \(-0.872208\pi\) |
−0.515000 | + | 0.857190i | \(0.672208\pi\) | |||||||
\(54\) | 7.39151 | + | 9.87454i | 1.00586 | + | 1.34375i | ||||
\(55\) | −1.77348 | + | 0.517689i | −0.239137 | + | 0.0698052i | ||||
\(56\) | −6.77081 | − | 7.51975i | −0.904788 | − | 1.00487i | ||||
\(57\) | −9.49657 | + | 2.77198i | −1.25785 | + | 0.367158i | ||||
\(58\) | 0.0690262 | + | 0.324743i | 0.00906359 | + | 0.0426408i | ||||
\(59\) | −4.37069 | − | 1.94596i | −0.569016 | − | 0.253342i | 0.102001 | − | 0.994784i | \(-0.467475\pi\) |
−0.671017 | + | 0.741442i | \(0.734142\pi\) | |||||||
\(60\) | 13.5687 | + | 3.75147i | 1.75171 | + | 0.484312i | ||||
\(61\) | 13.2410 | − | 5.89526i | 1.69533 | − | 0.754810i | 0.696008 | − | 0.718034i | \(-0.254958\pi\) |
0.999324 | − | 0.0367765i | \(-0.0117090\pi\) | |||||||
\(62\) | 11.3085 | + | 15.5647i | 1.43617 | + | 1.97672i | ||||
\(63\) | −6.11800 | + | 4.87420i | −0.770796 | + | 0.614092i | ||||
\(64\) | −9.19352 | − | 6.67948i | −1.14919 | − | 0.834935i | ||||
\(65\) | −1.71948 | + | 2.78113i | −0.213276 | + | 0.344956i | ||||
\(66\) | −0.456794 | + | 3.36619i | −0.0562274 | + | 0.414349i | ||||
\(67\) | 1.13167 | + | 5.32410i | 0.138256 | + | 0.650443i | 0.991627 | + | 0.129138i | \(0.0412211\pi\) |
−0.853371 | + | 0.521305i | \(0.825446\pi\) | |||||||
\(68\) | 18.7763 | − | 10.8405i | 2.27696 | − | 1.31460i | ||||
\(69\) | −2.35177 | − | 4.37280i | −0.283120 | − | 0.526424i | ||||
\(70\) | −3.28423 | + | 13.4447i | −0.392541 | + | 1.60695i | ||||
\(71\) | −0.103022 | − | 0.317070i | −0.0122265 | − | 0.0376293i | 0.944757 | − | 0.327771i | \(-0.106298\pi\) |
−0.956984 | + | 0.290142i | \(0.906298\pi\) | |||||||
\(72\) | 7.39849 | − | 8.98923i | 0.871921 | − | 1.05939i | ||||
\(73\) | −4.10585 | + | 5.65122i | −0.480554 | + | 0.661425i | −0.978611 | − | 0.205719i | \(-0.934047\pi\) |
0.498057 | + | 0.867144i | \(0.334047\pi\) | |||||||
\(74\) | 10.9913 | − | 19.0375i | 1.27771 | − | 2.21306i | ||||
\(75\) | −2.79344 | − | 8.19736i | −0.322559 | − | 0.946550i | ||||
\(76\) | 10.3805 | + | 17.9795i | 1.19072 | + | 2.06239i | ||||
\(77\) | −2.14252 | − | 0.225188i | −0.244163 | − | 0.0256625i | ||||
\(78\) | 3.38560 | + | 4.96830i | 0.383344 | + | 0.562549i | ||||
\(79\) | 12.9249 | + | 2.74727i | 1.45416 | + | 0.309092i | 0.866160 | − | 0.499767i | \(-0.166581\pi\) |
0.588003 | + | 0.808859i | \(0.299914\pi\) | |||||||
\(80\) | 0.130914 | − | 4.34144i | 0.0146367 | − | 0.485387i | ||||
\(81\) | −6.59166 | − | 6.12780i | −0.732407 | − | 0.680867i | ||||
\(82\) | − | 5.11768i | − | 0.565153i | ||||||
\(83\) | 0.522544 | − | 0.470501i | 0.0573567 | − | 0.0516442i | −0.639954 | − | 0.768413i | \(-0.721047\pi\) |
0.697311 | + | 0.716769i | \(0.254380\pi\) | |||||||
\(84\) | 12.9836 | + | 10.0449i | 1.41662 | + | 1.09599i | ||||
\(85\) | −12.0154 | − | 5.78967i | −1.30326 | − | 0.627978i | ||||
\(86\) | 2.37228 | − | 22.5707i | 0.255809 | − | 2.43386i | ||||
\(87\) | −0.0918123 | − | 0.224172i | −0.00984332 | − | 0.0240338i | ||||
\(88\) | 3.18884 | − | 0.335160i | 0.339931 | − | 0.0357282i | ||||
\(89\) | 3.90464 | + | 2.83689i | 0.413891 | + | 0.300709i | 0.775175 | − | 0.631746i | \(-0.217662\pi\) |
−0.361284 | + | 0.932456i | \(0.617662\pi\) | |||||||
\(90\) | −15.8587 | − | 1.43849i | −1.67166 | − | 0.151630i | ||||
\(91\) | −3.08460 | + | 2.24109i | −0.323354 | + | 0.234930i | ||||
\(92\) | −7.74332 | + | 6.97212i | −0.807297 | + | 0.726894i | ||||
\(93\) | −10.1443 | − | 9.70351i | −1.05191 | − | 1.00621i | ||||
\(94\) | 11.1591 | − | 2.37194i | 1.15097 | − | 0.244647i | ||||
\(95\) | 5.54400 | − | 11.5056i | 0.568802 | − | 1.18045i | ||||
\(96\) | 4.91610 | + | 2.36890i | 0.501747 | + | 0.241775i | ||||
\(97\) | −3.20980 | + | 15.1009i | −0.325906 | + | 1.53327i | 0.444538 | + | 0.895760i | \(0.353368\pi\) |
−0.770444 | + | 0.637507i | \(0.779966\pi\) | |||||||
\(98\) | 0.280951 | − | 0.386697i | 0.0283804 | − | 0.0390623i | ||||
\(99\) | −0.110032 | − | 2.47624i | −0.0110586 | − | 0.248871i | ||||
\(100\) | −15.3202 | + | 9.77721i | −1.53202 | + | 0.977721i | ||||
\(101\) | −8.77250 | + | 15.1944i | −0.872897 | + | 1.51190i | −0.0139103 | + | 0.999903i | \(0.504428\pi\) |
−0.858986 | + | 0.511998i | \(0.828905\pi\) | |||||||
\(102\) | −18.7115 | + | 15.8529i | −1.85272 | + | 1.56967i | ||||
\(103\) | −1.54606 | − | 1.39208i | −0.152338 | − | 0.137166i | 0.589438 | − | 0.807814i | \(-0.299349\pi\) |
−0.741776 | + | 0.670648i | \(0.766016\pi\) | |||||||
\(104\) | 3.79717 | − | 4.21718i | 0.372343 | − | 0.413529i | ||||
\(105\) | 0.608594 | − | 10.0801i | 0.0593927 | − | 0.983721i | ||||
\(106\) | −17.4535 | − | 19.3841i | −1.69524 | − | 1.88275i | ||||
\(107\) | 4.06188i | 0.392677i | 0.980536 | + | 0.196338i | \(0.0629051\pi\) | ||||
−0.980536 | + | 0.196338i | \(0.937095\pi\) | |||||||
\(108\) | −9.20959 | + | 16.4897i | −0.886194 | + | 1.58672i | ||||
\(109\) | 5.87401 | − | 4.26772i | 0.562628 | − | 0.408773i | −0.269792 | − | 0.962919i | \(-0.586955\pi\) |
0.832420 | + | 0.554146i | \(0.186955\pi\) | |||||||
\(110\) | −2.83495 | − | 3.34608i | −0.270302 | − | 0.319036i | ||||
\(111\) | −5.41428 | + | 15.0984i | −0.513901 | + | 1.43307i | ||||
\(112\) | 2.06001 | − | 4.62687i | 0.194653 | − | 0.437198i | ||||
\(113\) | 0.844305 | − | 1.89634i | 0.0794255 | − | 0.178393i | −0.869468 | − | 0.493990i | \(-0.835538\pi\) |
0.948893 | + | 0.315597i | \(0.102205\pi\) | |||||||
\(114\) | −15.1802 | − | 17.9175i | −1.42176 | − | 1.67813i | ||||
\(115\) | 6.22683 | + | 1.52107i | 0.580655 | + | 0.141841i | ||||
\(116\) | −0.411281 | + | 0.298813i | −0.0381864 | + | 0.0277441i | ||||
\(117\) | −3.07719 | − | 3.12654i | −0.284486 | − | 0.289048i | ||||
\(118\) | − | 11.3569i | − | 1.04549i | ||||||
\(119\) | −10.4067 | − | 11.5578i | −0.953983 | − | 1.05951i | ||||
\(120\) | 2.23326 | + | 14.8634i | 0.203868 | + | 1.35683i | ||||
\(121\) | −6.90365 | + | 7.66729i | −0.627605 | + | 0.697026i | ||||
\(122\) | 25.5684 | + | 23.0219i | 2.31486 | + | 2.08431i | ||||
\(123\) | 0.665889 | + | 3.67431i | 0.0600412 | + | 0.331301i | ||||
\(124\) | −14.7299 | + | 25.5129i | −1.32278 | + | 2.29113i | ||||
\(125\) | 10.2777 | + | 4.40111i | 0.919262 | + | 0.393647i | ||||
\(126\) | −16.4770 | − | 8.56118i | −1.46788 | − | 0.762691i | ||||
\(127\) | 8.29185 | − | 11.4128i | 0.735783 | − | 1.01272i | −0.263067 | − | 0.964777i | \(-0.584734\pi\) |
0.998850 | − | 0.0479408i | \(-0.0152659\pi\) | |||||||
\(128\) | 4.29836 | − | 20.2222i | 0.379925 | − | 1.78740i | ||||
\(129\) | 1.23359 | + | 16.5136i | 0.108611 | + | 1.45394i | ||||
\(130\) | −7.69121 | − | 1.04361i | −0.674564 | − | 0.0915308i | ||||
\(131\) | −9.86335 | + | 2.09652i | −0.861765 | + | 0.183174i | −0.617535 | − | 0.786543i | \(-0.711869\pi\) |
−0.244230 | + | 0.969717i | \(0.578535\pi\) | |||||||
\(132\) | −4.99334 | + | 1.45752i | −0.434614 | + | 0.126861i | ||||
\(133\) | 11.0674 | − | 9.96514i | 0.959666 | − | 0.864087i | ||||
\(134\) | −10.4530 | + | 7.59455i | −0.903002 | + | 0.656069i | ||||
\(135\) | 11.5731 | − | 1.03068i | 0.996058 | − | 0.0887067i | ||||
\(136\) | 18.7270 | + | 13.6060i | 1.60583 | + | 1.16670i | ||||
\(137\) | −10.4999 | + | 1.10359i | −0.897068 | + | 0.0942857i | −0.541828 | − | 0.840489i | \(-0.682268\pi\) |
−0.355240 | + | 0.934775i | \(0.615601\pi\) | |||||||
\(138\) | 7.21204 | − | 9.32192i | 0.613929 | − | 0.793534i | ||||
\(139\) | 0.291441 | − | 2.77287i | 0.0247197 | − | 0.235192i | −0.975185 | − | 0.221391i | \(-0.928940\pi\) |
0.999905 | − | 0.0138009i | \(-0.00439311\pi\) | |||||||
\(140\) | −20.8528 | + | 3.77937i | −1.76238 | + | 0.319415i | ||||
\(141\) | −7.70319 | + | 3.15493i | −0.648725 | + | 0.265693i | ||||
\(142\) | 0.588117 | − | 0.529543i | 0.0493537 | − | 0.0444383i | ||||
\(143\) | − | 1.20817i | − | 0.101033i | ||||||
\(144\) | 5.61656 | + | 1.55294i | 0.468047 | + | 0.129411i | ||||
\(145\) | 0.294382 | + | 0.105562i | 0.0244471 | + | 0.00876644i | ||||
\(146\) | −16.2192 | − | 3.44750i | −1.34231 | − | 0.285317i | ||||
\(147\) | −0.151398 | + | 0.314190i | −0.0124871 | + | 0.0259140i | ||||
\(148\) | 33.4764 | + | 3.51851i | 2.75174 | + | 0.289220i | ||||
\(149\) | −0.847420 | − | 1.46777i | −0.0694233 | − | 0.120245i | 0.829224 | − | 0.558916i | \(-0.188783\pi\) |
−0.898648 | + | 0.438671i | \(0.855449\pi\) | |||||||
\(150\) | 15.0794 | − | 13.9723i | 1.23123 | − | 1.14084i | ||||
\(151\) | −1.69179 | + | 2.93027i | −0.137676 | + | 0.238462i | −0.926616 | − | 0.376008i | \(-0.877297\pi\) |
0.788941 | + | 0.614469i | \(0.210630\pi\) | |||||||
\(152\) | −13.0286 | + | 17.9324i | −1.05676 | + | 1.45451i | ||||
\(153\) | 11.3715 | − | 13.8164i | 0.919329 | − | 1.11699i | ||||
\(154\) | −1.58028 | − | 4.86360i | −0.127342 | − | 0.391920i | ||||
\(155\) | 18.0726 | − | 1.35025i | 1.45162 | − | 0.108455i | ||||
\(156\) | −4.84137 | + | 7.83033i | −0.387620 | + | 0.626928i | ||||
\(157\) | 14.2000 | − | 8.19840i | 1.13329 | − | 0.654303i | 0.188527 | − | 0.982068i | \(-0.439629\pi\) |
0.944759 | + | 0.327765i | \(0.106295\pi\) | |||||||
\(158\) | 6.52142 | + | 30.6809i | 0.518816 | + | 2.44084i | ||||
\(159\) | 15.0532 | + | 11.6461i | 1.19379 | + | 0.923596i | ||||
\(160\) | −6.51942 | + | 2.67019i | −0.515406 | + | 0.211097i | ||||
\(161\) | 6.04695 | + | 4.39336i | 0.476566 | + | 0.346246i | ||||
\(162\) | 6.92423 | − | 20.2108i | 0.544019 | − | 1.58791i | ||||
\(163\) | 6.73381 | + | 9.26829i | 0.527433 | + | 0.725949i | 0.986736 | − | 0.162331i | \(-0.0519011\pi\) |
−0.459304 | + | 0.888279i | \(0.651901\pi\) | |||||||
\(164\) | 7.15894 | − | 3.18736i | 0.559019 | − | 0.248891i | ||||
\(165\) | 2.47076 | + | 2.03349i | 0.192349 | + | 0.158307i | ||||
\(166\) | 1.52483 | + | 0.678897i | 0.118350 | + | 0.0526926i | ||||
\(167\) | 1.85138 | + | 8.71007i | 0.143264 | + | 0.674006i | 0.989892 | + | 0.141821i | \(0.0452956\pi\) |
−0.846628 | + | 0.532185i | \(0.821371\pi\) | |||||||
\(168\) | −4.15918 | + | 17.0257i | −0.320888 | + | 1.31356i | ||||
\(169\) | 7.26792 | + | 8.07185i | 0.559071 | + | 0.620911i | ||||
\(170\) | 0.954277 | − | 31.6462i | 0.0731897 | − | 2.42715i | ||||
\(171\) | 13.2302 | + | 10.8889i | 1.01174 | + | 0.832698i | ||||
\(172\) | 33.0508 | − | 10.7389i | 2.52010 | − | 0.818830i | ||||
\(173\) | −0.0874639 | − | 0.196447i | −0.00664975 | − | 0.0149356i | 0.910190 | − | 0.414191i | \(-0.135935\pi\) |
−0.916840 | + | 0.399255i | \(0.869269\pi\) | |||||||
\(174\) | 0.397485 | − | 0.415540i | 0.0301333 | − | 0.0315020i | ||||
\(175\) | 9.14522 | + | 9.29145i | 0.691314 | + | 0.702367i | ||||
\(176\) | 0.802444 | + | 1.38987i | 0.0604865 | + | 0.104766i | ||||
\(177\) | 1.47771 | + | 8.15386i | 0.111072 | + | 0.612882i | ||||
\(178\) | −2.38201 | + | 11.2065i | −0.178539 | + | 0.839960i | ||||
\(179\) | −6.20421 | − | 19.0946i | −0.463724 | − | 1.42720i | −0.860580 | − | 0.509315i | \(-0.829899\pi\) |
0.396856 | − | 0.917881i | \(-0.370101\pi\) | |||||||
\(180\) | −7.86478 | − | 23.0801i | −0.586206 | − | 1.72029i | ||||
\(181\) | −1.43938 | + | 4.42997i | −0.106989 | + | 0.329277i | −0.990192 | − | 0.139713i | \(-0.955382\pi\) |
0.883203 | + | 0.468990i | \(0.155382\pi\) | |||||||
\(182\) | −7.83814 | − | 4.52535i | −0.581002 | − | 0.335441i | ||||
\(183\) | −21.3527 | − | 13.2020i | −1.57844 | − | 0.975923i | ||||
\(184\) | −10.1629 | − | 4.52480i | −0.749217 | − | 0.333573i | ||||
\(185\) | −9.80842 | − | 18.2370i | −0.721129 | − | 1.34081i | ||||
\(186\) | 11.2483 | − | 31.3672i | 0.824766 | − | 2.29996i | ||||
\(187\) | 4.90124 | − | 0.515141i | 0.358414 | − | 0.0376708i | ||||
\(188\) | 10.2681 | + | 14.1328i | 0.748875 | + | 1.03074i | ||||
\(189\) | 12.9438 | + | 4.00271i | 0.941522 | + | 0.291154i | ||||
\(190\) | 30.3033 | + | 0.913784i | 2.19843 | + | 0.0662929i | ||||
\(191\) | 1.51767 | + | 14.4397i | 0.109815 | + | 1.04482i | 0.901171 | + | 0.433463i | \(0.142709\pi\) |
−0.791356 | + | 0.611355i | \(0.790625\pi\) | |||||||
\(192\) | −0.593478 | + | 19.6738i | −0.0428306 | + | 1.41983i | ||||
\(193\) | −20.4023 | + | 11.7793i | −1.46859 | + | 0.847892i | −0.999381 | − | 0.0351930i | \(-0.988795\pi\) |
−0.469212 | + | 0.883085i | \(0.655462\pi\) | |||||||
\(194\) | −35.8463 | + | 7.61937i | −2.57362 | + | 0.547039i | ||||
\(195\) | 5.65779 | − | 0.251470i | 0.405163 | − | 0.0180082i | ||||
\(196\) | 0.715916 | + | 0.152173i | 0.0511369 | + | 0.0108695i | ||||
\(197\) | 3.67126 | − | 1.19286i | 0.261566 | − | 0.0849881i | −0.175298 | − | 0.984515i | \(-0.556089\pi\) |
0.436864 | + | 0.899527i | \(0.356089\pi\) | |||||||
\(198\) | 5.26363 | − | 2.62943i | 0.374070 | − | 0.186865i | ||||
\(199\) | −11.7357 | −0.831919 | −0.415960 | − | 0.909383i | \(-0.636554\pi\) | ||||
−0.415960 | + | 0.909383i | \(0.636554\pi\) | |||||||
\(200\) | −16.1891 | − | 10.6969i | −1.14475 | − | 0.756382i | ||||
\(201\) | 6.51670 | − | 6.81270i | 0.459653 | − | 0.480531i | ||||
\(202\) | −41.4199 | − | 4.35341i | −2.91429 | − | 0.306305i | ||||
\(203\) | 0.271006 | + | 0.244015i | 0.0190209 | + | 0.0171265i | ||||
\(204\) | −33.8298 | − | 16.3015i | −2.36856 | − | 1.14133i | ||||
\(205\) | −4.10037 | − | 2.53513i | −0.286382 | − | 0.177061i | ||||
\(206\) | 1.52608 | − | 4.69678i | 0.106327 | − | 0.327240i | ||||
\(207\) | −3.96505 | + | 7.63119i | −0.275590 | + | 0.530404i | ||||
\(208\) | 2.70136 | + | 0.877724i | 0.187305 | + | 0.0608592i | ||||
\(209\) | 0.493282 | + | 4.69326i | 0.0341210 | + | 0.324640i | ||||
\(210\) | 22.4470 | − | 8.41265i | 1.54899 | − | 0.580528i | ||||
\(211\) | 0.298466 | − | 2.83971i | 0.0205472 | − | 0.195494i | −0.979433 | − | 0.201769i | \(-0.935331\pi\) |
0.999980 | + | 0.00627545i | \(0.00199755\pi\) | |||||||
\(212\) | 16.2454 | − | 36.4878i | 1.11574 | − | 2.50599i | ||||
\(213\) | −0.353345 | + | 0.456715i | −0.0242108 | + | 0.0312936i | ||||
\(214\) | −8.80843 | + | 3.92176i | −0.602132 | + | 0.268086i | ||||
\(215\) | −16.9088 | − | 13.0815i | −1.15317 | − | 0.892149i | ||||
\(216\) | −20.0827 | − | 1.82186i | −1.36645 | − | 0.123962i | ||||
\(217\) | 20.0984 | + | 6.53035i | 1.36437 | + | 0.443309i | ||||
\(218\) | 14.9262 | + | 8.61763i | 1.01093 | + | 0.583660i | ||||
\(219\) | 12.0934 | + | 0.364809i | 0.817195 | + | 0.0246515i | ||||
\(220\) | 2.91506 | − | 6.04969i | 0.196533 | − | 0.407870i | ||||
\(221\) | 5.83624 | − | 6.48180i | 0.392588 | − | 0.436013i | ||||
\(222\) | −37.9692 | + | 2.83635i | −2.54833 | + | 0.190364i | ||||
\(223\) | 2.67143 | + | 6.00012i | 0.178892 | + | 0.401798i | 0.980628 | − | 0.195881i | \(-0.0627565\pi\) |
−0.801736 | + | 0.597679i | \(0.796090\pi\) | |||||||
\(224\) | −8.21506 | −0.548892 | ||||||||
\(225\) | −9.00843 | + | 11.9937i | −0.600562 | + | 0.799578i | ||||
\(226\) | 4.92751 | 0.327773 | ||||||||
\(227\) | −0.536959 | − | 1.20603i | −0.0356393 | − | 0.0800471i | 0.894849 | − | 0.446370i | \(-0.147283\pi\) |
−0.930488 | + | 0.366323i | \(0.880617\pi\) | |||||||
\(228\) | 15.6097 | − | 32.3943i | 1.03378 | − | 2.14537i | ||||
\(229\) | −2.53269 | + | 2.81284i | −0.167365 | + | 0.185878i | −0.820993 | − | 0.570938i | \(-0.806580\pi\) |
0.653628 | + | 0.756816i | \(0.273246\pi\) | |||||||
\(230\) | 2.71350 | + | 14.9718i | 0.178923 | + | 0.987214i | ||||
\(231\) | 1.76741 | + | 3.28626i | 0.116287 | + | 0.216220i | ||||
\(232\) | −0.470050 | − | 0.271383i | −0.0308603 | − | 0.0178172i | ||||
\(233\) | 0.806245 | + | 0.261965i | 0.0528188 | + | 0.0171619i | 0.335307 | − | 0.942109i | \(-0.391160\pi\) |
−0.282488 | + | 0.959271i | \(0.591160\pi\) | |||||||
\(234\) | 3.80903 | − | 9.69176i | 0.249004 | − | 0.633570i | ||||
\(235\) | 3.62741 | − | 10.1158i | 0.236626 | − | 0.659883i | ||||
\(236\) | 15.8868 | − | 7.07326i | 1.03414 | − | 0.460430i | ||||
\(237\) | −8.67419 | − | 21.1792i | −0.563449 | − | 1.37574i | ||||
\(238\) | 15.0161 | − | 33.7268i | 0.973351 | − | 2.18618i | ||||
\(239\) | −1.53837 | + | 14.6366i | −0.0995086 | + | 0.946762i | 0.824880 | + | 0.565309i | \(0.191243\pi\) |
−0.924388 | + | 0.381453i | \(0.875424\pi\) | |||||||
\(240\) | −6.34167 | + | 4.04708i | −0.409353 | + | 0.261238i | ||||
\(241\) | −0.428846 | − | 4.08020i | −0.0276244 | − | 0.262829i | −0.999613 | − | 0.0278025i | \(-0.991149\pi\) |
0.971989 | − | 0.235026i | \(-0.0755176\pi\) | |||||||
\(242\) | −23.2925 | − | 7.56818i | −1.49730 | − | 0.486501i | ||||
\(243\) | −2.34160 | + | 15.4116i | −0.150214 | + | 0.988654i | ||||
\(244\) | −16.2801 | + | 50.1051i | −1.04223 | + | 3.20765i | ||||
\(245\) | −0.170653 | − | 0.416659i | −0.0109026 | − | 0.0266194i | ||||
\(246\) | −7.32503 | + | 4.99158i | −0.467027 | + | 0.318252i | ||||
\(247\) | 6.20676 | + | 5.58859i | 0.394927 | + | 0.355594i | ||||
\(248\) | −31.2807 | − | 3.28773i | −1.98633 | − | 0.208771i | ||||
\(249\) | −1.18311 | − | 0.289020i | −0.0749762 | − | 0.0183159i | ||||
\(250\) | 0.379063 | + | 26.5370i | 0.0239741 | + | 1.67835i | ||||
\(251\) | 14.7545 | 0.931295 | 0.465648 | − | 0.884970i | \(-0.345821\pi\) | ||||
0.465648 | + | 0.884970i | \(0.345821\pi\) | |||||||
\(252\) | 1.71384 | − | 28.3810i | 0.107962 | − | 1.78784i | ||||
\(253\) | −2.25254 | + | 0.731895i | −0.141616 | + | 0.0460139i | ||||
\(254\) | 32.7551 | + | 6.96230i | 2.05524 | + | 0.436854i | ||||
\(255\) | 3.43252 | + | 22.8449i | 0.214953 | + | 1.43061i | ||||
\(256\) | 25.7721 | − | 5.47803i | 1.61076 | − | 0.342377i | ||||
\(257\) | 21.1572 | − | 12.2151i | 1.31975 | − | 0.761958i | 0.336062 | − | 0.941840i | \(-0.390905\pi\) |
0.983688 | + | 0.179882i | \(0.0575717\pi\) | |||||||
\(258\) | −34.6197 | + | 18.6191i | −2.15533 | + | 1.15917i | ||||
\(259\) | −2.52397 | − | 24.0139i | −0.156832 | − | 1.49215i | ||||
\(260\) | −3.33032 | − | 11.4089i | −0.206538 | − | 0.707552i | ||||
\(261\) | −0.231312 | + | 0.350061i | −0.0143178 | + | 0.0216682i | ||||
\(262\) | −14.0695 | − | 19.3651i | −0.869219 | − | 1.19638i | ||||
\(263\) | −14.1515 | + | 1.48738i | −0.872618 | + | 0.0917158i | −0.530241 | − | 0.847847i | \(-0.677899\pi\) |
−0.342377 | + | 0.939563i | \(0.611232\pi\) | |||||||
\(264\) | −3.58998 | − | 4.23734i | −0.220948 | − | 0.260790i | ||||
\(265\) | −24.1767 | + | 4.38180i | −1.48517 | + | 0.269172i | ||||
\(266\) | 32.2956 | + | 14.3789i | 1.98017 | + | 0.881630i | ||||
\(267\) | 0.252060 | − | 8.35576i | 0.0154258 | − | 0.511364i | ||||
\(268\) | −17.1340 | − | 9.89233i | −1.04663 | − | 0.604270i | ||||
\(269\) | 6.23881 | − | 19.2011i | 0.380387 | − | 1.17071i | −0.559385 | − | 0.828908i | \(-0.688963\pi\) |
0.939772 | − | 0.341802i | \(-0.111037\pi\) | |||||||
\(270\) | 13.4090 | + | 24.1019i | 0.816047 | + | 1.46680i | ||||
\(271\) | −4.49635 | − | 13.8383i | −0.273134 | − | 0.840620i | −0.989707 | − | 0.143108i | \(-0.954290\pi\) |
0.716573 | − | 0.697512i | \(-0.245710\pi\) | |||||||
\(272\) | −2.40889 | + | 11.3329i | −0.146060 | + | 0.687160i | ||||
\(273\) | 6.21631 | + | 2.22917i | 0.376228 | + | 0.134916i | ||||
\(274\) | −12.5309 | − | 21.7042i | −0.757020 | − | 1.31120i | ||||
\(275\) | −4.08527 | + | 0.613871i | −0.246351 | + | 0.0370178i | ||||
\(276\) | 17.5319 | + | 4.28284i | 1.05529 | + | 0.257797i | ||||
\(277\) | −0.00321910 | − | 0.00723021i | −0.000193417 | − | 0.000434421i | 0.913449 | − | 0.406954i | \(-0.133409\pi\) |
−0.913642 | + | 0.406519i | \(0.866742\pi\) | |||||||
\(278\) | 6.29453 | − | 2.04522i | 0.377521 | − | 0.122664i | ||||
\(279\) | −3.99451 | + | 23.9841i | −0.239145 | + | 1.43589i | ||||
\(280\) | −12.7417 | − | 18.6977i | −0.761461 | − | 1.11740i | ||||
\(281\) | 7.23254 | + | 8.03255i | 0.431457 | + | 0.479182i | 0.919192 | − | 0.393810i | \(-0.128843\pi\) |
−0.487735 | + | 0.872992i | \(0.662177\pi\) | |||||||
\(282\) | −14.2791 | − | 13.6587i | −0.850309 | − | 0.813365i | ||||
\(283\) | −1.22785 | − | 5.77658i | −0.0729881 | − | 0.343382i | 0.926467 | − | 0.376375i | \(-0.122830\pi\) |
−0.999456 | + | 0.0329927i | \(0.989496\pi\) | |||||||
\(284\) | 1.10705 | + | 0.492889i | 0.0656911 | + | 0.0292476i | ||||
\(285\) | −21.8756 | + | 3.28687i | −1.29580 | + | 0.194697i | ||||
\(286\) | 2.62000 | − | 1.16650i | 0.154924 | − | 0.0689764i | ||||
\(287\) | −3.30416 | − | 4.54779i | −0.195039 | − | 0.268448i | ||||
\(288\) | −1.40431 | − | 9.34703i | −0.0827497 | − | 0.550779i | ||||
\(289\) | 15.0301 | + | 10.9200i | 0.884124 | + | 0.642354i | ||||
\(290\) | 0.0553104 | + | 0.740306i | 0.00324794 | + | 0.0434723i | ||||
\(291\) | 24.7450 | − | 10.1346i | 1.45057 | − | 0.594100i | ||||
\(292\) | −5.27898 | − | 24.8357i | −0.308929 | − | 1.45340i | ||||
\(293\) | 10.7763 | − | 6.22170i | 0.629558 | − | 0.363476i | −0.151023 | − | 0.988530i | \(-0.548257\pi\) |
0.780581 | + | 0.625055i | \(0.214923\pi\) | |||||||
\(294\) | −0.827515 | − | 0.0249628i | −0.0482616 | − | 0.00145586i | ||||
\(295\) | −9.09936 | − | 5.62585i | −0.529785 | − | 0.327550i | ||||
\(296\) | 11.1055 | + | 34.1793i | 0.645496 | + | 1.98663i | ||||
\(297\) | −3.43696 | + | 2.57271i | −0.199433 | + | 0.149284i | ||||
\(298\) | 2.36477 | − | 3.25482i | 0.136987 | − | 0.188547i | ||||
\(299\) | −2.09589 | + | 3.63018i | −0.121208 | + | 0.209939i | ||||
\(300\) | 28.9370 | + | 12.3918i | 1.67068 | + | 0.715443i | ||||
\(301\) | −12.4644 | − | 21.5889i | −0.718434 | − | 1.24436i | ||||
\(302\) | −7.98789 | − | 0.839561i | −0.459651 | − | 0.0483113i | ||||
\(303\) | 30.3044 | − | 2.26378i | 1.74094 | − | 0.130051i | ||||
\(304\) | −10.8520 | − | 2.30667i | −0.622407 | − | 0.132297i | ||||
\(305\) | 31.1113 | − | 9.08154i | 1.78143 | − | 0.520007i | ||||
\(306\) | 40.9410 | + | 11.3199i | 2.34044 | + | 0.647114i | ||||
\(307\) | 13.8244i | 0.789000i | 0.918896 | + | 0.394500i | \(0.129082\pi\) | ||||
−0.918896 | + | 0.394500i | \(0.870918\pi\) | |||||||
\(308\) | 5.81929 | − | 5.23971i | 0.331585 | − | 0.298560i | ||||
\(309\) | −0.484544 | + | 3.57068i | −0.0275647 | + | 0.203129i | ||||
\(310\) | 20.3772 | + | 37.8877i | 1.15735 | + | 2.15188i | ||||
\(311\) | −1.33955 | + | 12.7450i | −0.0759588 | + | 0.722700i | 0.888573 | + | 0.458735i | \(0.151697\pi\) |
−0.964532 | + | 0.263965i | \(0.914970\pi\) | |||||||
\(312\) | −9.73974 | − | 1.32169i | −0.551404 | − | 0.0748258i | ||||
\(313\) | −22.5486 | + | 2.36995i | −1.27452 | + | 0.133957i | −0.717510 | − | 0.696548i | \(-0.754718\pi\) |
−0.557010 | + | 0.830506i | \(0.688052\pi\) | |||||||
\(314\) | 31.4889 | + | 22.8780i | 1.77702 | + | 1.29108i | ||||
\(315\) | −15.0215 | + | 8.96067i | −0.846365 | + | 0.504877i | ||||
\(316\) | −38.8567 | + | 28.2311i | −2.18586 | + | 1.58812i | ||||
\(317\) | 22.2718 | − | 20.0536i | 1.25091 | − | 1.12632i | 0.264089 | − | 0.964498i | \(-0.414929\pi\) |
0.986819 | − | 0.161825i | \(-0.0517381\pi\) | |||||||
\(318\) | −10.7214 | + | 43.8880i | −0.601224 | + | 2.46112i | ||||
\(319\) | −0.113031 | + | 0.0240255i | −0.00632852 | + | 0.00134517i | ||||
\(320\) | −18.3624 | − | 17.5642i | −1.02649 | − | 0.981870i | ||||
\(321\) | 5.81384 | − | 3.96179i | 0.324497 | − | 0.221126i | ||||
\(322\) | −3.68891 | + | 17.3550i | −0.205575 | + | 0.967155i | ||||
\(323\) | −20.0250 | + | 27.5620i | −1.11422 | + | 1.53359i | ||||
\(324\) | 32.5847 | − | 2.90155i | 1.81026 | − | 0.161197i | ||||
\(325\) | −4.64613 | + | 5.64535i | −0.257721 | + | 0.313148i | ||||
\(326\) | −13.5973 | + | 23.5512i | −0.753086 | + | 1.30438i | ||||
\(327\) | −11.8377 | − | 4.24502i | −0.654628 | − | 0.234750i | ||||
\(328\) | 6.21762 | + | 5.59837i | 0.343311 | + | 0.309118i | ||||
\(329\) | 8.38504 | − | 9.31253i | 0.462282 | − | 0.513416i | ||||
\(330\) | −2.02421 | + | 7.32134i | −0.111429 | + | 0.403027i | ||||
\(331\) | −1.51584 | − | 1.68351i | −0.0833183 | − | 0.0925344i | 0.700044 | − | 0.714100i | \(-0.253164\pi\) |
−0.783362 | + | 0.621565i | \(0.786497\pi\) | |||||||
\(332\) | 2.55585i | 0.140271i | ||||||||
\(333\) | 26.8914 | − | 6.97678i | 1.47364 | − | 0.382325i | ||||
\(334\) | −17.1008 | + | 12.4245i | −0.935714 | + | 0.679836i | ||||
\(335\) | 0.906805 | + | 12.1372i | 0.0495440 | + | 0.663126i | ||||
\(336\) | −8.63177 | + | 1.56432i | −0.470902 | + | 0.0853409i | ||||
\(337\) | −2.62962 | + | 5.90623i | −0.143245 | + | 0.321733i | −0.970893 | − | 0.239515i | \(-0.923012\pi\) |
0.827648 | + | 0.561247i | \(0.189678\pi\) | |||||||
\(338\) | −10.4871 | + | 23.5543i | −0.570421 | + | 1.28119i | ||||
\(339\) | −3.53777 | + | 0.641144i | −0.192145 | + | 0.0348222i | ||||
\(340\) | 44.8630 | − | 18.3748i | 2.43304 | − | 0.996512i | ||||
\(341\) | −5.41751 | + | 3.93605i | −0.293375 | + | 0.213149i | ||||
\(342\) | −10.8395 | + | 39.2037i | −0.586135 | + | 2.11989i | ||||
\(343\) | − | 18.7770i | − | 1.01386i | ||||||
\(344\) | 24.8267 | + | 27.5729i | 1.33857 | + | 1.48663i | ||||
\(345\) | −3.89626 | − | 10.3962i | −0.209768 | − | 0.559711i | ||||
\(346\) | 0.341560 | − | 0.379341i | 0.0183624 | − | 0.0203935i | ||||
\(347\) | −21.6526 | − | 19.4961i | −1.16237 | − | 1.04661i | −0.998188 | − | 0.0601765i | \(-0.980834\pi\) |
−0.164186 | − | 0.986429i | \(-0.552500\pi\) | |||||||
\(348\) | 0.828843 | + | 0.297223i | 0.0444306 | + | 0.0159329i | ||||
\(349\) | −17.3116 | + | 29.9846i | −0.926670 | + | 1.60504i | −0.137817 | + | 0.990458i | \(0.544009\pi\) |
−0.788853 | + | 0.614582i | \(0.789325\pi\) | |||||||
\(350\) | −11.3193 | + | 28.8029i | −0.605042 | + | 1.53958i | ||||
\(351\) | −1.47370 | + | 7.45394i | −0.0786603 | + | 0.397862i | ||||
\(352\) | 1.53009 | − | 2.10599i | 0.0815541 | − | 0.112250i | ||||
\(353\) | 2.35198 | − | 11.0652i | 0.125183 | − | 0.588940i | −0.870179 | − | 0.492737i | \(-0.835997\pi\) |
0.995362 | − | 0.0962037i | \(-0.0306700\pi\) | |||||||
\(354\) | −16.2554 | + | 11.0771i | −0.863965 | + | 0.588741i | ||||
\(355\) | −0.132945 | − | 0.733527i | −0.00705597 | − | 0.0389315i | ||||
\(356\) | −17.1599 | + | 3.64744i | −0.909471 | + | 0.193314i | ||||
\(357\) | −6.39265 | + | 26.1684i | −0.338335 | + | 1.38498i | ||||
\(358\) | 35.4175 | − | 31.8901i | 1.87188 | − | 1.68544i | ||||
\(359\) | 11.2407 | − | 8.16685i | 0.593262 | − | 0.431030i | −0.250219 | − | 0.968189i | \(-0.580503\pi\) |
0.843481 | + | 0.537159i | \(0.180503\pi\) | |||||||
\(360\) | 19.0960 | − | 17.6936i | 1.00645 | − | 0.932536i | ||||
\(361\) | −11.0212 | − | 8.00735i | −0.580062 | − | 0.421440i | ||||
\(362\) | −10.9964 | + | 1.15577i | −0.577957 | + | 0.0607458i | ||||
\(363\) | 17.7079 | + | 2.40297i | 0.929422 | + | 0.126123i | ||||
\(364\) | 1.44865 | − | 13.7829i | 0.0759297 | − | 0.722422i | ||||
\(365\) | −10.7967 | + | 11.2873i | −0.565123 | + | 0.590806i | ||||
\(366\) | 8.01328 | − | 59.0512i | 0.418861 | − | 3.08666i | ||||
\(367\) | −1.62571 | + | 1.46380i | −0.0848614 | + | 0.0764095i | −0.710470 | − | 0.703728i | \(-0.751517\pi\) |
0.625608 | + | 0.780137i | \(0.284851\pi\) | |||||||
\(368\) | − | 5.56818i | − | 0.290261i | ||||||
\(369\) | 4.60962 | − | 4.53687i | 0.239967 | − | 0.236180i | ||||
\(370\) | 30.0778 | − | 38.8780i | 1.56367 | − | 2.02117i | ||||
\(371\) | −28.0251 | − | 5.95691i | −1.45499 | − | 0.309267i | ||||
\(372\) | 50.8841 | − | 3.80111i | 2.63822 | − | 0.197078i | ||||
\(373\) | −16.7268 | − | 1.75806i | −0.866083 | − | 0.0910290i | −0.338943 | − | 0.940807i | \(-0.610069\pi\) |
−0.527141 | + | 0.849778i | \(0.676736\pi\) | |||||||
\(374\) | 5.84928 | + | 10.1313i | 0.302459 | + | 0.523875i | ||||
\(375\) | −3.72503 | − | 19.0033i | −0.192360 | − | 0.981325i | ||||
\(376\) | −9.32550 | + | 16.1522i | −0.480926 | + | 0.832988i | ||||
\(377\) | −0.120211 | + | 0.165456i | −0.00619116 | + | 0.00852140i | ||||
\(378\) | 3.81718 | + | 31.9340i | 0.196335 | + | 1.64251i | ||||
\(379\) | −4.64771 | − | 14.3042i | −0.238737 | − | 0.734757i | −0.996604 | − | 0.0823473i | \(-0.973758\pi\) |
0.757867 | − | 0.652409i | \(-0.226242\pi\) | |||||||
\(380\) | 17.5951 | + | 42.9593i | 0.902609 | + | 2.20377i | ||||
\(381\) | −24.4228 | − | 0.736739i | −1.25122 | − | 0.0377443i | ||||
\(382\) | −29.8480 | + | 17.2327i | −1.52716 | + | 0.881704i | ||||
\(383\) | −0.189475 | − | 0.891409i | −0.00968171 | − | 0.0455489i | 0.973042 | − | 0.230630i | \(-0.0740786\pi\) |
−0.982723 | + | 0.185081i | \(0.940745\pi\) | |||||||
\(384\) | −33.1368 | + | 13.5716i | −1.69101 | + | 0.692572i | ||||
\(385\) | −4.67961 | − | 1.14312i | −0.238495 | − | 0.0582588i | ||||
\(386\) | −45.2427 | − | 32.8707i | −2.30279 | − | 1.67308i | ||||
\(387\) | 22.4330 | − | 17.8724i | 1.14033 | − | 0.908503i | ||||
\(388\) | −32.9841 | − | 45.3987i | −1.67451 | − | 2.30477i | ||||
\(389\) | −15.5454 | + | 6.92124i | −0.788182 | + | 0.350921i | −0.761035 | − | 0.648710i | \(-0.775309\pi\) |
−0.0271462 | + | 0.999631i | \(0.508642\pi\) | |||||||
\(390\) | 6.00796 | + | 12.0265i | 0.304225 | + | 0.608984i | ||||
\(391\) | −15.6203 | − | 6.95461i | −0.789953 | − | 0.351710i | ||||
\(392\) | 0.162469 | + | 0.764354i | 0.00820590 | + | 0.0386057i | ||||
\(393\) | 12.6211 | + | 12.0727i | 0.636651 | + | 0.608989i | ||||
\(394\) | 6.13141 | + | 6.80963i | 0.308896 | + | 0.343064i | ||||
\(395\) | 27.8125 | + | 9.97322i | 1.39940 | + | 0.501807i | ||||
\(396\) | 6.95648 | + | 5.72545i | 0.349576 | + | 0.287715i | ||||
\(397\) | −29.8578 | + | 9.70138i | −1.49852 | + | 0.486898i | −0.939586 | − | 0.342314i | \(-0.888789\pi\) |
−0.558934 | + | 0.829212i | \(0.688789\pi\) | |||||||
\(398\) | −11.3308 | − | 25.4495i | −0.567964 | − | 1.27567i | ||||
\(399\) | −25.0580 | − | 6.12139i | −1.25447 | − | 0.306453i | ||||
\(400\) | 1.59535 | − | 9.58023i | 0.0797673 | − | 0.479012i | ||||
\(401\) | 6.70082 | + | 11.6062i | 0.334623 | + | 0.579584i | 0.983412 | − | 0.181384i | \(-0.0580576\pi\) |
−0.648789 | + | 0.760968i | \(0.724724\pi\) | |||||||
\(402\) | 21.0657 | + | 7.55416i | 1.05066 | + | 0.376767i | ||||
\(403\) | −2.46407 | + | 11.5925i | −0.122744 | + | 0.577464i | ||||
\(404\) | −19.7071 | − | 60.6522i | −0.980464 | − | 3.01756i | ||||
\(405\) | −12.7632 | − | 15.5596i | −0.634209 | − | 0.773162i | ||||
\(406\) | −0.267503 | + | 0.823290i | −0.0132760 | + | 0.0408592i | ||||
\(407\) | 6.62625 | + | 3.82567i | 0.328451 | + | 0.189631i | ||||
\(408\) | 1.20890 | − | 40.0751i | 0.0598497 | − | 1.98401i | ||||
\(409\) | −3.21388 | − | 1.43091i | −0.158916 | − | 0.0707540i | 0.325737 | − | 0.945460i | \(-0.394388\pi\) |
−0.484653 | + | 0.874706i | \(0.661054\pi\) | |||||||
\(410\) | 1.53865 | − | 11.3396i | 0.0759887 | − | 0.560021i | ||||
\(411\) | 11.8208 | + | 13.9523i | 0.583076 | + | 0.688218i | ||||
\(412\) | 7.52062 | − | 0.790450i | 0.370515 | − | 0.0389427i | ||||
\(413\) | −7.33246 | − | 10.0923i | −0.360807 | − | 0.496608i | ||||
\(414\) | −20.3770 | − | 1.23050i | −1.00147 | − | 0.0604759i | ||||
\(415\) | 1.29929 | − | 0.885413i | 0.0637797 | − | 0.0434632i | ||||
\(416\) | −0.481575 | − | 4.58188i | −0.0236112 | − | 0.224645i | ||||
\(417\) | −4.25313 | + | 2.28741i | −0.208277 | + | 0.112015i | ||||
\(418\) | −9.70135 | + | 5.60108i | −0.474509 | + | 0.273958i | ||||
\(419\) | 29.1390 | − | 6.19368i | 1.42353 | − | 0.302581i | 0.569153 | − | 0.822231i | \(-0.307271\pi\) |
0.854379 | + | 0.519650i | \(0.173938\pi\) | |||||||
\(420\) | 25.7485 | + | 26.1608i | 1.25640 | + | 1.27651i | ||||
\(421\) | 24.7915 | + | 5.26960i | 1.20827 | + | 0.256825i | 0.767649 | − | 0.640871i | \(-0.221427\pi\) |
0.440617 | + | 0.897695i | \(0.354760\pi\) | |||||||
\(422\) | 6.44625 | − | 2.09451i | 0.313799 | − | 0.101959i | ||||
\(423\) | 12.0291 | + | 7.94852i | 0.584874 | + | 0.386470i | ||||
\(424\) | 42.6432 | 2.07094 | ||||||||
\(425\) | −24.8827 | − | 16.4410i | −1.20699 | − | 0.797508i | ||||
\(426\) | −1.33157 | − | 0.325288i | −0.0645148 | − | 0.0157602i | ||||
\(427\) | 37.5850 | + | 3.95035i | 1.81887 | + | 0.191171i | ||||
\(428\) | −10.9720 | − | 9.87926i | −0.530353 | − | 0.477532i | ||||
\(429\) | −1.72928 | + | 1.17840i | −0.0834905 | + | 0.0568939i | ||||
\(430\) | 12.0424 | − | 49.2981i | 0.580735 | − | 2.37736i | ||||
\(431\) | 2.54269 | − | 7.82560i | 0.122477 | − | 0.376946i | −0.870956 | − | 0.491361i | \(-0.836499\pi\) |
0.993433 | + | 0.114415i | \(0.0364995\pi\) | |||||||
\(432\) | −3.25542 | − | 9.55376i | −0.156626 | − | 0.459656i | ||||
\(433\) | 0.225475 | + | 0.0732614i | 0.0108357 | + | 0.00352072i | 0.314430 | − | 0.949281i | \(-0.398187\pi\) |
−0.303594 | + | 0.952801i | \(0.598187\pi\) | |||||||
\(434\) | 5.24361 | + | 49.8896i | 0.251701 | + | 2.39478i | ||||
\(435\) | −0.136036 | − | 0.524316i | −0.00652243 | − | 0.0251390i | ||||
\(436\) | −2.75866 | + | 26.2469i | −0.132116 | + | 1.25700i | ||||
\(437\) | 6.65951 | − | 14.9575i | 0.318568 | − | 0.715514i | ||||
\(438\) | 10.8851 | + | 26.5774i | 0.520111 | + | 1.26992i | ||||
\(439\) | −4.97554 | + | 2.21525i | −0.237469 | + | 0.105728i | −0.522021 | − | 0.852932i | \(-0.674822\pi\) |
0.284552 | + | 0.958661i | \(0.408155\pi\) | |||||||
\(440\) | 7.16648 | + | 0.216102i | 0.341648 | + | 0.0103023i | ||||
\(441\) | 0.597373 | − | 0.0897500i | 0.0284463 | − | 0.00427381i | ||||
\(442\) | 19.6911 | + | 6.39802i | 0.936610 | + | 0.304323i | ||||
\(443\) | 26.6686 | + | 15.3971i | 1.26706 | + | 0.731538i | 0.974431 | − | 0.224687i | \(-0.0721360\pi\) |
0.292631 | + | 0.956226i | \(0.405469\pi\) | |||||||
\(444\) | −27.6154 | − | 51.3472i | −1.31057 | − | 2.43683i | ||||
\(445\) | 7.79883 | + | 7.45981i | 0.369700 | + | 0.353629i | ||||
\(446\) | −10.4323 | + | 11.5863i | −0.493986 | + | 0.548627i | ||||
\(447\) | −1.27431 | + | 2.64454i | −0.0602730 | + | 0.125082i | ||||
\(448\) | −12.0517 | − | 27.0686i | −0.569390 | − | 1.27887i | ||||
\(449\) | −16.9775 | −0.801219 | −0.400609 | − | 0.916249i | \(-0.631202\pi\) | ||||
−0.400609 | + | 0.916249i | \(0.631202\pi\) | |||||||
\(450\) | −34.7067 | − | 7.95535i | −1.63609 | − | 0.375019i | ||||
\(451\) | 1.78128 | 0.0838770 | ||||||||
\(452\) | 3.06892 | + | 6.89291i | 0.144350 | + | 0.324215i | ||||
\(453\) | 5.84425 | − | 0.436573i | 0.274587 | − | 0.0205120i | ||||
\(454\) | 2.09691 | − | 2.32886i | 0.0984130 | − | 0.109299i | ||||
\(455\) | −7.50854 | + | 4.03833i | −0.352006 | + | 0.189320i | ||||
\(456\) | 38.3746 | + | 1.15761i | 1.79705 | + | 0.0542099i | ||||
\(457\) | −8.43924 | − | 4.87240i | −0.394771 | − | 0.227921i | 0.289454 | − | 0.957192i | \(-0.406526\pi\) |
−0.684225 | + | 0.729271i | \(0.739860\pi\) | |||||||
\(458\) | −8.54514 | − | 2.77648i | −0.399288 | − | 0.129737i | ||||
\(459\) | −30.8670 | − | 2.80020i | −1.44075 | − | 0.130702i | ||||
\(460\) | −19.2536 | + | 13.1205i | −0.897702 | + | 0.611747i | ||||
\(461\) | −4.79972 | + | 2.13697i | −0.223545 | + | 0.0995288i | −0.515453 | − | 0.856918i | \(-0.672377\pi\) |
0.291908 | + | 0.956446i | \(0.405710\pi\) | |||||||
\(462\) | −5.42002 | + | 7.00564i | −0.252162 | + | 0.325932i | ||||
\(463\) | −12.6438 | + | 28.3985i | −0.587609 | + | 1.31979i | 0.337942 | + | 0.941167i | \(0.390269\pi\) |
−0.925551 | + | 0.378624i | \(0.876398\pi\) | |||||||
\(464\) | 0.0283971 | − | 0.270181i | 0.00131830 | − | 0.0125428i | ||||
\(465\) | −19.5599 | − | 24.5506i | −0.907068 | − | 1.13851i | ||||
\(466\) | 0.210347 | + | 2.00132i | 0.00974413 | + | 0.0927092i | ||||
\(467\) | 10.4415 | + | 3.39266i | 0.483176 | + | 0.156993i | 0.540469 | − | 0.841364i | \(-0.318247\pi\) |
−0.0572929 | + | 0.998357i | \(0.518247\pi\) | |||||||
\(468\) | 15.9298 | − | 0.707843i | 0.736354 | − | 0.0327201i | ||||
\(469\) | −4.38567 | + | 13.4977i | −0.202511 | + | 0.623266i | ||||
\(470\) | 25.4390 | − | 1.90062i | 1.17341 | − | 0.0876692i | ||||
\(471\) | −25.5847 | − | 12.3284i | −1.17888 | − | 0.568062i | ||||
\(472\) | 13.7979 | + | 12.4237i | 0.635099 | + | 0.571846i | ||||
\(473\) | 7.85602 | + | 0.825701i | 0.361220 | + | 0.0379658i | ||||
\(474\) | 37.5534 | − | 39.2591i | 1.72488 | − | 1.80323i | ||||
\(475\) | 15.7434 | − | 23.8268i | 0.722357 | − | 1.09325i | ||||
\(476\) | 56.5314 | 2.59111 | ||||||||
\(477\) | 1.98703 | − | 32.9050i | 0.0909800 | − | 1.50662i | ||||
\(478\) | −33.2256 | + | 10.7956i | −1.51970 | + | 0.493781i | ||||
\(479\) | −20.2685 | − | 4.30821i | −0.926093 | − | 0.196847i | −0.279907 | − | 0.960027i | \(-0.590304\pi\) |
−0.646186 | + | 0.763180i | \(0.723637\pi\) | |||||||
\(480\) | 10.1807 | + | 6.72697i | 0.464683 | + | 0.307043i | ||||
\(481\) | 13.2456 | − | 2.81545i | 0.603949 | − | 0.128373i | ||||
\(482\) | 8.43410 | − | 4.86943i | 0.384163 | − | 0.221796i | ||||
\(483\) | 0.390355 | − | 12.9402i | 0.0177618 | − | 0.588800i | ||||
\(484\) | −3.92003 | − | 37.2966i | −0.178183 | − | 1.69530i | ||||
\(485\) | −11.6523 | + | 32.4950i | −0.529105 | + | 1.47552i | ||||
\(486\) | −35.6818 | + | 9.80207i | −1.61856 | + | 0.444631i | ||||
\(487\) | 16.9736 | + | 23.3621i | 0.769145 | + | 1.05864i | 0.996398 | + | 0.0848015i | \(0.0270256\pi\) |
−0.227253 | + | 0.973836i | \(0.572974\pi\) | |||||||
\(488\) | −55.9400 | + | 5.87953i | −2.53229 | + | 0.266154i | ||||
\(489\) | 6.69799 | − | 18.6781i | 0.302894 | − | 0.844655i | ||||
\(490\) | 0.738784 | − | 0.772359i | 0.0333749 | − | 0.0348916i | ||||
\(491\) | −34.6472 | − | 15.4259i | −1.56361 | − | 0.696163i | −0.571389 | − | 0.820679i | \(-0.693595\pi\) |
−0.992218 | + | 0.124516i | \(0.960262\pi\) | |||||||
\(492\) | −11.5447 | − | 7.13789i | −0.520474 | − | 0.321801i | ||||
\(493\) | −0.722465 | − | 0.417115i | −0.0325382 | − | 0.0187859i | ||||
\(494\) | −6.12654 | + | 18.8555i | −0.275646 | + | 0.848351i | ||||
\(495\) | 0.500686 | − | 5.51983i | 0.0225042 | − | 0.248098i | ||||
\(496\) | −4.86487 | − | 14.9725i | −0.218439 | − | 0.672287i | ||||
\(497\) | 0.180734 | − | 0.850285i | 0.00810701 | − | 0.0381405i | ||||
\(498\) | −0.515538 | − | 2.84468i | −0.0231018 | − | 0.127473i | ||||
\(499\) | −0.527872 | − | 0.914302i | −0.0236308 | − | 0.0409298i | 0.853968 | − | 0.520325i | \(-0.174189\pi\) |
−0.877599 | + | 0.479395i | \(0.840856\pi\) | |||||||
\(500\) | −36.8856 | + | 17.0579i | −1.64957 | + | 0.762852i | ||||
\(501\) | 10.6611 | − | 11.1454i | 0.476304 | − | 0.497939i | ||||
\(502\) | 14.2455 | + | 31.9960i | 0.635809 | + | 1.42805i | ||||
\(503\) | −10.4983 | + | 3.41110i | −0.468096 | + | 0.152094i | −0.533562 | − | 0.845761i | \(-0.679147\pi\) |
0.0654656 | + | 0.997855i | \(0.479147\pi\) | |||||||
\(504\) | 28.4258 | − | 10.6530i | 1.26619 | − | 0.474524i | ||||
\(505\) | −24.0061 | + | 31.0298i | −1.06826 | + | 1.38081i | ||||
\(506\) | −3.76200 | − | 4.17812i | −0.167241 | − | 0.185740i | ||||
\(507\) | 4.46454 | − | 18.2757i | 0.198277 | − | 0.811651i | ||||
\(508\) | 10.6610 | + | 50.1561i | 0.473006 | + | 2.22532i | ||||
\(509\) | 33.1550 | + | 14.7616i | 1.46957 | + | 0.654295i | 0.976465 | − | 0.215674i | \(-0.0691948\pi\) |
0.493106 | + | 0.869969i | \(0.335861\pi\) | |||||||
\(510\) | −46.2265 | + | 29.5005i | −2.04694 | + | 1.30631i | ||||
\(511\) | −16.6390 | + | 7.40814i | −0.736064 | + | 0.327717i | ||||
\(512\) | 12.4588 | + | 17.1481i | 0.550607 | + | 0.757846i | ||||
\(513\) | 2.68138 | − | 29.5572i | 0.118386 | − | 1.30498i | ||||
\(514\) | 46.9166 | + | 34.0869i | 2.06940 | + | 1.50351i | ||||
\(515\) | −3.00717 | − | 3.54935i | −0.132512 | − | 0.156403i | ||||
\(516\) | −47.6072 | − | 36.8320i | −2.09579 | − | 1.62144i | ||||
\(517\) | 0.825584 | + | 3.88407i | 0.0363091 | + | 0.170821i | ||||
\(518\) | 49.6388 | − | 28.6590i | 2.18100 | − | 1.25920i | ||||
\(519\) | −0.195870 | + | 0.316795i | −0.00859772 | + | 0.0139058i | ||||
\(520\) | 9.68154 | − | 8.20264i | 0.424564 | − | 0.359710i | ||||
\(521\) | 7.44646 | + | 22.9178i | 0.326235 | + | 1.00405i | 0.970880 | + | 0.239567i | \(0.0770053\pi\) |
−0.644645 | + | 0.764482i | \(0.722995\pi\) | |||||||
\(522\) | −0.982461 | − | 0.163627i | −0.0430011 | − | 0.00716176i | ||||
\(523\) | 9.29398 | − | 12.7921i | 0.406397 | − | 0.559358i | −0.555938 | − | 0.831224i | \(-0.687641\pi\) |
0.962335 | + | 0.271866i | \(0.0876407\pi\) | |||||||
\(524\) | 18.3264 | − | 31.7422i | 0.800591 | − | 1.38666i | ||||
\(525\) | 4.37914 | − | 22.1522i | 0.191121 | − | 0.966802i | ||||
\(526\) | −16.8888 | − | 29.2523i | −0.736387 | − | 1.27546i | ||||
\(527\) | −48.0784 | − | 5.05324i | −2.09433 | − | 0.220123i | ||||
\(528\) | 1.20668 | − | 2.50418i | 0.0525140 | − | 0.108980i | ||||
\(529\) | −14.4596 | − | 3.07347i | −0.628676 | − | 0.133629i | ||||
\(530\) | −32.8450 | − | 48.1981i | −1.42669 | − | 2.09359i | ||||
\(531\) | 10.2295 | − | 10.0680i | 0.443921 | − | 0.436915i | ||||
\(532\) | 54.1326i | 2.34695i | ||||||||
\(533\) | 2.34280 | − | 2.10947i | 0.101478 | − | 0.0913712i | ||||
\(534\) | 18.3633 | − | 7.52092i | 0.794659 | − | 0.325462i | ||||
\(535\) | −1.22122 | + | 9.00016i | −0.0527980 | + | 0.389111i | ||||
\(536\) | 2.20798 | − | 21.0076i | 0.0953703 | − | 0.907388i | ||||
\(537\) | −21.2791 | + | 27.5043i | −0.918261 | + | 1.18690i | ||||
\(538\) | 47.6623 | − | 5.00951i | 2.05487 | − | 0.215975i | ||||
\(539\) | 0.134595 | + | 0.0977888i | 0.00579741 | + | 0.00421206i | ||||
\(540\) | −25.3640 | + | 33.7684i | −1.09149 | + | 1.45316i | ||||
\(541\) | −5.30115 | + | 3.85151i | −0.227914 | + | 0.165589i | −0.695882 | − | 0.718156i | \(-0.744986\pi\) |
0.467968 | + | 0.883746i | \(0.344986\pi\) | |||||||
\(542\) | 25.6680 | − | 23.1116i | 1.10254 | − | 0.992728i | ||||
\(543\) | 7.74462 | − | 2.26060i | 0.332353 | − | 0.0970115i | ||||
\(544\) | 18.3821 | − | 3.90725i | 0.788128 | − | 0.167522i | ||||
\(545\) | 14.2985 | − | 7.69020i | 0.612481 | − | 0.329412i | ||||
\(546\) | 1.16779 | + | 15.6327i | 0.0499766 | + | 0.669019i | ||||
\(547\) | 4.62526 | − | 21.7601i | 0.197762 | − | 0.930397i | −0.761563 | − | 0.648091i | \(-0.775568\pi\) |
0.959325 | − | 0.282305i | \(-0.0910991\pi\) | |||||||
\(548\) | 22.5567 | − | 31.0467i | 0.963576 | − | 1.32625i | ||||
\(549\) | 1.93023 | + | 43.4393i | 0.0823804 | + | 1.85394i | ||||
\(550\) | −5.27556 | − | 8.26645i | −0.224951 | − | 0.352483i | ||||
\(551\) | 0.399416 | − | 0.691809i | 0.0170157 | − | 0.0294720i | ||||
\(552\) | 3.43602 | + | 18.9596i | 0.146247 | + | 0.806975i | ||||
\(553\) | 25.6039 | + | 23.0539i | 1.08879 | + | 0.980351i | ||||
\(554\) | 0.0125711 | − | 0.0139616i | 0.000534095 | − | 0.000593172i | ||||
\(555\) | −16.5362 | + | 31.8266i | −0.701921 | + | 1.35096i | ||||
\(556\) | 6.78130 | + | 7.53140i | 0.287591 | + | 0.319403i | ||||
\(557\) | 11.6691i | 0.494436i | 0.968960 | + | 0.247218i | \(0.0795163\pi\) | ||||
−0.968960 | + | 0.247218i | \(0.920484\pi\) | |||||||
\(558\) | −55.8676 | + | 14.4944i | −2.36507 | + | 0.613598i | ||||
\(559\) | 11.3104 | − | 8.21747i | 0.478378 | − | 0.347562i | ||||
\(560\) | 5.95559 | − | 9.63269i | 0.251670 | − | 0.407055i | ||||
\(561\) | −5.51780 | − | 6.51278i | −0.232962 | − | 0.274970i | ||||
\(562\) | −10.4360 | + | 23.4397i | −0.440216 | + | 0.988742i | ||||
\(563\) | −12.2391 | + | 27.4895i | −0.515817 | + | 1.15854i | 0.448498 | + | 0.893784i | \(0.351959\pi\) |
−0.964315 | + | 0.264759i | \(0.914707\pi\) | |||||||
\(564\) | 10.2134 | − | 28.4814i | 0.430063 | − | 1.19928i | ||||
\(565\) | 2.44092 | − | 3.94800i | 0.102690 | − | 0.166093i | ||||
\(566\) | 11.3414 | − | 8.23998i | 0.476713 | − | 0.346352i | ||||
\(567\) | −6.89570 | − | 22.4308i | −0.289592 | − | 0.942004i | ||||
\(568\) | 1.29380i | 0.0542867i | ||||||||
\(569\) | 0.655613 | + | 0.728132i | 0.0274847 | + | 0.0305249i | 0.756730 | − | 0.653727i | \(-0.226796\pi\) |
−0.729246 | + | 0.684252i | \(0.760129\pi\) | |||||||
\(570\) | −28.2487 | − | 44.2650i | −1.18321 | − | 1.85406i | ||||
\(571\) | 8.04211 | − | 8.93167i | 0.336552 | − | 0.373779i | −0.550985 | − | 0.834515i | \(-0.685748\pi\) |
0.887537 | + | 0.460736i | \(0.152415\pi\) | |||||||
\(572\) | 3.26354 | + | 2.93851i | 0.136455 | + | 0.122865i | ||||
\(573\) | 19.1875 | − | 16.2562i | 0.801570 | − | 0.679111i | ||||
\(574\) | 6.67197 | − | 11.5562i | 0.278483 | − | 0.482346i | ||||
\(575\) | 13.3399 | + | 5.24246i | 0.556311 | + | 0.218625i | ||||
\(576\) | 28.7383 | − | 18.3395i | 1.19743 | − | 0.764147i | ||||
\(577\) | 18.0991 | − | 24.9113i | 0.753477 | − | 1.03707i | −0.244252 | − | 0.969712i | \(-0.578542\pi\) |
0.997729 | − | 0.0673602i | \(-0.0214577\pi\) | |||||||
\(578\) | −9.16906 | + | 43.1370i | −0.381382 | + | 1.79426i | ||||
\(579\) | 36.7596 | + | 17.7132i | 1.52767 | + | 0.736135i | ||||
\(580\) | −1.00114 | + | 0.538445i | −0.0415701 | + | 0.0223577i | ||||
\(581\) | 1.79335 | − | 0.381188i | 0.0744007 | − | 0.0158144i | ||||
\(582\) | 45.8688 | + | 43.8759i | 1.90132 | + | 1.81871i | ||||
\(583\) | 6.74689 | − | 6.07493i | 0.279428 | − | 0.251598i | ||||
\(584\) | 21.9311 | − | 15.9339i | 0.907517 | − | 0.659350i | ||||
\(585\) | −5.87832 | − | 7.85283i | −0.243039 | − | 0.324675i | ||||
\(586\) | 23.8967 | + | 17.3620i | 0.987164 | + | 0.717216i | ||||
\(587\) | −10.7940 | + | 1.13450i | −0.445518 | + | 0.0468258i | −0.324631 | − | 0.945841i | \(-0.605240\pi\) |
−0.120886 | + | 0.992666i | \(0.538574\pi\) | |||||||
\(588\) | −0.480468 | − | 1.17313i | −0.0198142 | − | 0.0483790i | ||||
\(589\) | 4.83882 | − | 46.0383i | 0.199380 | − | 1.89697i | ||||
\(590\) | 3.41451 | − | 25.1643i | 0.140573 | − | 1.03600i | ||||
\(591\) | −5.28817 | − | 4.09127i | −0.217526 | − | 0.168292i | ||||
\(592\) | −13.3677 | + | 12.0363i | −0.549410 | + | 0.494691i | ||||
\(593\) | − | 13.8202i | − | 0.567526i | −0.958894 | − | 0.283763i | \(-0.908417\pi\) | ||
0.958894 | − | 0.283763i | \(-0.0915829\pi\) | |||||||
\(594\) | −8.89748 | − | 4.96929i | −0.365068 | − | 0.203892i | ||||
\(595\) | −19.5839 | − | 28.7383i | −0.802863 | − | 1.17815i | ||||
\(596\) | 6.02587 | + | 1.28084i | 0.246829 | + | 0.0524651i | ||||
\(597\) | 11.4465 | + | 16.7975i | 0.468474 | + | 0.687475i | ||||
\(598\) | −9.89585 | − | 1.04010i | −0.404671 | − | 0.0425327i | ||||
\(599\) | −6.17025 | − | 10.6872i | −0.252110 | − | 0.436667i | 0.711997 | − | 0.702183i | \(-0.247791\pi\) |
−0.964106 | + | 0.265516i | \(0.914458\pi\) | |||||||
\(600\) | 0.479644 | + | 33.6051i | 0.0195814 | + | 1.37192i | ||||
\(601\) | 6.51951 | − | 11.2921i | 0.265936 | − | 0.460616i | −0.701872 | − | 0.712303i | \(-0.747652\pi\) |
0.967809 | + | 0.251688i | \(0.0809855\pi\) | |||||||
\(602\) | 34.7825 | − | 47.8739i | 1.41763 | − | 1.95120i | ||||
\(603\) | −16.1073 | − | 2.68264i | −0.655939 | − | 0.109246i | ||||
\(604\) | −3.80054 | − | 11.6969i | −0.154642 | − | 0.475938i | ||||
\(605\) | −17.6021 | + | 14.9133i | −0.715626 | + | 0.606311i | ||||
\(606\) | 34.1682 | + | 63.5312i | 1.38799 | + | 2.58078i | ||||
\(607\) | 23.2519 | − | 13.4245i | 0.943765 | − | 0.544883i | 0.0526263 | − | 0.998614i | \(-0.483241\pi\) |
0.891139 | + | 0.453731i | \(0.149907\pi\) | |||||||
\(608\) | 3.74145 | + | 17.6021i | 0.151736 | + | 0.713861i | ||||
\(609\) | 0.0849346 | − | 0.625898i | 0.00344173 | − | 0.0253627i | ||||
\(610\) | 49.7319 | + | 58.6984i | 2.01359 | + | 2.37663i | ||||
\(611\) | 5.68553 | + | 4.13078i | 0.230012 | + | 0.167113i | ||||
\(612\) | 9.66366 | + | 64.3210i | 0.390630 | + | 2.60002i | ||||
\(613\) | −5.48183 | − | 7.54509i | −0.221409 | − | 0.304743i | 0.683834 | − | 0.729638i | \(-0.260311\pi\) |
−0.905243 | + | 0.424894i | \(0.860311\pi\) | |||||||
\(614\) | −29.9790 | + | 13.3475i | −1.20985 | + | 0.538662i | ||||
\(615\) | 0.370756 | + | 8.34159i | 0.0149503 | + | 0.336366i | ||||
\(616\) | 7.63764 | + | 3.40050i | 0.307729 | + | 0.137010i | ||||
\(617\) | 7.01950 | + | 33.0241i | 0.282594 | + | 1.32950i | 0.858848 | + | 0.512231i | \(0.171181\pi\) |
−0.576254 | + | 0.817271i | \(0.695486\pi\) | |||||||
\(618\) | −8.21107 | + | 2.39675i | −0.330298 | + | 0.0964115i | ||||
\(619\) | −23.8569 | − | 26.4958i | −0.958890 | − | 1.06496i | −0.997839 | − | 0.0657138i | \(-0.979068\pi\) |
0.0389487 | − | 0.999241i | \(-0.487599\pi\) | |||||||
\(620\) | −40.3085 | + | 52.1020i | −1.61883 | + | 2.09247i | ||||
\(621\) | 14.7900 | − | 1.76790i | 0.593503 | − | 0.0709434i | ||||
\(622\) | −28.9315 | + | 9.40042i | −1.16005 | + | 0.376923i | ||||
\(623\) | 5.11856 | + | 11.4965i | 0.205071 | + | 0.460596i | ||||
\(624\) | −1.37849 | − | 4.72260i | −0.0551839 | − | 0.189055i | ||||
\(625\) | 21.4496 | + | 12.8418i | 0.857986 | + | 0.513674i | ||||
\(626\) | −26.9101 | − | 46.6097i | −1.07554 | − | 1.86290i | ||||
\(627\) | 6.23643 | − | 5.28366i | 0.249059 | − | 0.211009i | ||||
\(628\) | −12.3915 | + | 58.2975i | −0.494475 | + | 2.32632i | ||||
\(629\) | 17.0692 | + | 52.5335i | 0.680593 | + | 2.09465i | ||||
\(630\) | −33.9351 | − | 23.9234i | −1.35201 | − | 0.953132i | ||||
\(631\) | 8.45439 | − | 26.0199i | 0.336564 | − | 1.03584i | −0.629382 | − | 0.777096i | \(-0.716692\pi\) |
0.965946 | − | 0.258742i | \(-0.0833080\pi\) | |||||||
\(632\) | −44.4091 | − | 25.6396i | −1.76650 | − | 1.01989i | ||||
\(633\) | −4.35564 | + | 2.34254i | −0.173121 | + | 0.0931077i | ||||
\(634\) | 64.9910 | + | 28.9359i | 2.58112 | + | 1.14919i | ||||
\(635\) | 21.8041 | − | 22.7950i | 0.865268 | − | 0.904591i | ||||
\(636\) | −68.0708 | + | 12.3364i | −2.69918 | + | 0.489169i | ||||
\(637\) | 0.292830 | − | 0.0307777i | 0.0116024 | − | 0.00121946i | ||||
\(638\) | −0.161233 | − | 0.221918i | −0.00638326 | − | 0.00878581i | ||||
\(639\) | 0.998343 | + | 0.0602869i | 0.0394939 | + | 0.00238491i | ||||
\(640\) | 15.6040 | − | 43.5152i | 0.616803 | − | 1.72009i | ||||
\(641\) | −1.47552 | − | 14.0386i | −0.0582794 | − | 0.554491i | −0.984236 | − | 0.176861i | \(-0.943406\pi\) |
0.925956 | − | 0.377630i | \(-0.123261\pi\) | |||||||
\(642\) | 14.2047 | + | 8.78253i | 0.560614 | + | 0.346619i | ||||
\(643\) | 16.0668 | − | 9.27616i | 0.633612 | − | 0.365816i | −0.148538 | − | 0.988907i | \(-0.547457\pi\) |
0.782149 | + | 0.623091i | \(0.214123\pi\) | |||||||
\(644\) | −26.5748 | + | 5.64864i | −1.04719 | + | 0.222588i | ||||
\(645\) | −2.23155 | + | 36.9611i | −0.0878670 | + | 1.45534i | ||||
\(646\) | −79.1041 | − | 16.8141i | −3.11231 | − | 0.661542i | ||||
\(647\) | −6.00549 | + | 1.95130i | −0.236100 | + | 0.0767136i | −0.424677 | − | 0.905345i | \(-0.639612\pi\) |
0.188577 | + | 0.982058i | \(0.439612\pi\) | |||||||
\(648\) | 16.9801 | + | 30.5216i | 0.667043 | + | 1.19900i | ||||
\(649\) | 3.95293 | 0.155166 | ||||||||
\(650\) | −16.7281 | − | 4.62479i | −0.656131 | − | 0.181399i | ||||
\(651\) | −10.2561 | − | 35.1366i | −0.401969 | − | 1.37711i | ||||
\(652\) | −41.4136 | − | 4.35274i | −1.62188 | − | 0.170467i | ||||
\(653\) | −4.27745 | − | 3.85144i | −0.167390 | − | 0.150718i | 0.581179 | − | 0.813776i | \(-0.302592\pi\) |
−0.748568 | + | 0.663058i | \(0.769258\pi\) | |||||||
\(654\) | −2.22382 | − | 29.7694i | −0.0869581 | − | 1.16408i | ||||
\(655\) | −22.4852 | + | 1.67993i | −0.878569 | + | 0.0656404i | ||||
\(656\) | −1.29408 | + | 3.98276i | −0.0505252 | + | 0.155501i | ||||
\(657\) | −11.2732 | − | 17.6653i | −0.439811 | − | 0.689189i | ||||
\(658\) | 28.2906 | + | 9.19216i | 1.10288 | + | 0.358348i | ||||
\(659\) | −5.34970 | − | 50.8990i | −0.208395 | − | 1.98274i | −0.183286 | − | 0.983060i | \(-0.558673\pi\) |
−0.0251089 | − | 0.999685i | \(-0.507993\pi\) | |||||||
\(660\) | −11.5023 | + | 1.72825i | −0.447725 | + | 0.0672719i | ||||
\(661\) | 1.25398 | − | 11.9309i | 0.0487743 | − | 0.464057i | −0.942689 | − | 0.333672i | \(-0.891712\pi\) |
0.991464 | − | 0.130385i | \(-0.0416212\pi\) | |||||||
\(662\) | 2.18725 | − | 4.91264i | 0.0850098 | − | 0.190935i | ||||
\(663\) | −14.9700 | − | 2.03143i | −0.581385 | − | 0.0788942i | ||||
\(664\) | −2.49286 | + | 1.10989i | −0.0967419 | + | 0.0430723i | ||||
\(665\) | 27.5188 | − | 18.7529i | 1.06713 | − | 0.727207i | ||||
\(666\) | 41.0934 | + | 51.5796i | 1.59234 | + | 1.99867i | ||||
\(667\) | 0.381301 | + | 0.123892i | 0.0147640 | + | 0.00479712i | ||||
\(668\) | −28.0307 | − | 16.1836i | −1.08454 | − | 0.626160i | ||||
\(669\) | 5.98249 | − | 9.67594i | 0.231296 | − | 0.374094i | ||||
\(670\) | −25.4447 | + | 13.6850i | −0.983015 | + | 0.528697i | ||||
\(671\) | −8.01308 | + | 8.89943i | −0.309341 | + | 0.343559i | ||||
\(672\) | 8.01264 | + | 11.7584i | 0.309094 | + | 0.453589i | ||||
\(673\) | 12.9808 | + | 29.1554i | 0.500375 | + | 1.12386i | 0.970465 | + | 0.241242i | \(0.0775546\pi\) |
−0.470091 | + | 0.882618i | \(0.655779\pi\) | |||||||
\(674\) | −15.3469 | −0.591141 | ||||||||
\(675\) | 25.9532 | + | 1.19578i | 0.998940 | + | 0.0460255i | ||||
\(676\) | −39.4808 | −1.51849 | ||||||||
\(677\) | 16.8097 | + | 37.7551i | 0.646048 | + | 1.45105i | 0.878164 | + | 0.478359i | \(0.158768\pi\) |
−0.232116 | + | 0.972688i | \(0.574565\pi\) | |||||||
\(678\) | −4.80609 | − | 7.05283i | −0.184577 | − | 0.270862i | ||||
\(679\) | −26.9353 | + | 29.9146i | −1.03368 | + | 1.14802i | ||||
\(680\) | 37.4040 | + | 35.7780i | 1.43438 | + | 1.37202i | ||||
\(681\) | −1.20249 | + | 1.94487i | −0.0460793 | + | 0.0745277i | ||||
\(682\) | −13.7662 | − | 7.94792i | −0.527135 | − | 0.304342i | ||||
\(683\) | −16.8583 | − | 5.47760i | −0.645065 | − | 0.209594i | −0.0318282 | − | 0.999493i | \(-0.510133\pi\) |
−0.613237 | + | 0.789899i | \(0.710133\pi\) | |||||||
\(684\) | −61.5917 | + | 9.25361i | −2.35502 | + | 0.353820i | ||||
\(685\) | −23.5971 | − | 0.711562i | −0.901600 | − | 0.0271874i | ||||
\(686\) | 40.7190 | − | 18.1293i | 1.55466 | − | 0.692178i | ||||
\(687\) | 6.49636 | + | 0.881559i | 0.247852 | + | 0.0336336i | ||||
\(688\) | −7.55350 | + | 16.9654i | −0.287975 | + | 0.646802i | ||||
\(689\) | 1.67956 | − | 15.9800i | 0.0639862 | − | 0.608788i | ||||
\(690\) | 18.7828 | − | 18.4868i | 0.715051 | − | 0.703781i | ||||
\(691\) | 0.855877 | + | 8.14313i | 0.0325591 | + | 0.309779i | 0.998666 | + | 0.0516367i | \(0.0164438\pi\) |
−0.966107 | + | 0.258143i | \(0.916890\pi\) | |||||||
\(692\) | 0.743375 | + | 0.241537i | 0.0282589 | + | 0.00918187i | ||||
\(693\) | 2.97983 | − | 5.73502i | 0.113194 | − | 0.217855i | ||||
\(694\) | 21.3728 | − | 65.7786i | 0.811299 | − | 2.49692i | ||||
\(695\) | 1.47944 | − | 6.05641i | 0.0561184 | − | 0.229733i | ||||
\(696\) | 0.0700316 | + | 0.937487i | 0.00265454 | + | 0.0355354i | ||||
\(697\) | 9.55647 | + | 8.60469i | 0.361977 | + | 0.325926i | ||||
\(698\) | −81.7379 | − | 8.59100i | −3.09382 | − | 0.325174i | ||||
\(699\) | −0.411424 | − | 1.40950i | −0.0155615 | − | 0.0533123i | ||||
\(700\) | −47.3411 | + | 2.10470i | −1.78933 | + | 0.0795500i | ||||
\(701\) | 13.3120 | 0.502788 | 0.251394 | − | 0.967885i | \(-0.419111\pi\) | ||||
0.251394 | + | 0.967885i | \(0.419111\pi\) | |||||||
\(702\) | −17.5872 | + | 4.00101i | −0.663785 | + | 0.151008i | ||||
\(703\) | −50.3044 | + | 16.3449i | −1.89727 | + | 0.616459i | ||||
\(704\) | 9.18391 | + | 1.95210i | 0.346132 | + | 0.0735725i | ||||
\(705\) | −18.0170 | + | 4.67459i | −0.678559 | + | 0.176055i | ||||
\(706\) | 26.2664 | − | 5.58309i | 0.988547 | − | 0.210122i | ||||
\(707\) | −39.6182 | + | 22.8736i | −1.49000 | + | 0.860250i | ||||
\(708\) | −25.6194 | − | 15.8401i | −0.962838 | − | 0.595308i | ||||
\(709\) | 4.70841 | + | 44.7975i | 0.176828 | + | 1.68241i | 0.618933 | + | 0.785444i | \(0.287565\pi\) |
−0.442105 | + | 0.896963i | \(0.645768\pi\) | |||||||
\(710\) | 1.46234 | − | 0.996522i | 0.0548805 | − | 0.0373988i | ||||
\(711\) | −21.8537 | + | 33.0729i | −0.819578 | + | 1.24033i | ||||
\(712\) | −11.0093 | − | 15.1530i | −0.412592 | − | 0.567884i | ||||
\(713\) | 23.1060 | − | 2.42854i | 0.865327 | − | 0.0909495i | ||||
\(714\) | −62.9199 | + | 11.4029i | −2.35472 | + | 0.426742i | ||||
\(715\) | 0.363243 | − | 2.67703i | 0.0135845 | − | 0.100115i | ||||
\(716\) | 66.6685 | + | 29.6827i | 2.49152 | + | 1.10929i | ||||
\(717\) | 22.4501 | − | 12.0740i | 0.838413 | − | 0.450913i | ||||
\(718\) | 28.5633 | + | 16.4910i | 1.06597 | + | 0.615439i | ||||
\(719\) | −10.7325 | + | 33.0313i | −0.400256 | + | 1.23186i | 0.524536 | + | 0.851388i | \(0.324239\pi\) |
−0.924792 | + | 0.380473i | \(0.875761\pi\) | |||||||
\(720\) | 11.9781 | + | 5.12958i | 0.446396 | + | 0.191168i | ||||
\(721\) | −1.67628 | − | 5.15906i | −0.0624279 | − | 0.192133i | ||||
\(722\) | 6.72342 | − | 31.6312i | 0.250220 | − | 1.17719i | ||||
\(723\) | −5.42179 | + | 4.59348i | −0.201638 | + | 0.170833i | ||||
\(724\) | −8.46547 | − | 14.6626i | −0.314617 | − | 0.544932i | ||||
\(725\) | 0.620544 | + | 0.322408i | 0.0230464 | + | 0.0119739i | ||||
\(726\) | 11.8861 | + | 40.7207i | 0.441133 | + | 1.51129i | ||||
\(727\) | 5.58256 | + | 12.5386i | 0.207046 | + | 0.465032i | 0.986983 | − | 0.160826i | \(-0.0514157\pi\) |
−0.779937 | + | 0.625858i | \(0.784749\pi\) | |||||||
\(728\) | 14.0723 | − | 4.57238i | 0.521556 | − | 0.169464i | ||||
\(729\) | 24.3428 | − | 11.6803i | 0.901585 | − | 0.432603i | ||||
\(730\) | −34.9015 | − | 12.5152i | −1.29176 | − | 0.463210i | ||||
\(731\) | 38.1586 | + | 42.3794i | 1.41135 | + | 1.56746i | ||||
\(732\) | 87.5954 | − | 25.5685i | 3.23762 | − | 0.945037i | ||||
\(733\) | 0.734008 | + | 3.45324i | 0.0271112 | + | 0.127548i | 0.989622 | − | 0.143695i | \(-0.0458985\pi\) |
−0.962511 | + | 0.271243i | \(0.912565\pi\) | |||||||
\(734\) | −4.74396 | − | 2.11215i | −0.175103 | − | 0.0779608i | ||||
\(735\) | −0.429924 | + | 0.650652i | −0.0158580 | + | 0.0239997i | ||||
\(736\) | −8.25082 | + | 3.67350i | −0.304129 | + | 0.135407i | ||||
\(737\) | −2.64338 | − | 3.63830i | −0.0973702 | − | 0.134019i | ||||
\(738\) | 14.2891 | + | 5.61587i | 0.525988 | + | 0.206723i | ||||
\(739\) | 10.9424 | + | 7.95013i | 0.402523 | + | 0.292450i | 0.770568 | − | 0.637358i | \(-0.219973\pi\) |
−0.368045 | + | 0.929808i | \(0.619973\pi\) | |||||||
\(740\) | 73.1180 | + | 17.8610i | 2.68787 | + | 0.656584i | ||||
\(741\) | 1.94523 | − | 14.3347i | 0.0714599 | − | 0.526600i | ||||
\(742\) | −14.1404 | − | 66.5254i | −0.519111 | − | 2.44223i | ||||
\(743\) | 9.55547 | − | 5.51685i | 0.350556 | − | 0.202394i | −0.314374 | − | 0.949299i | \(-0.601795\pi\) |
0.664930 | + | 0.746905i | \(0.268461\pi\) | |||||||
\(744\) | 25.8041 | + | 47.9794i | 0.946026 | + | 1.75901i | ||||
\(745\) | −1.43639 | − | 3.50702i | −0.0526252 | − | 0.128487i | ||||
\(746\) | −12.3374 | − | 37.9706i | −0.451704 | − | 1.39020i | ||||
\(747\) | 0.740274 | + | 1.97530i | 0.0270852 | + | 0.0722724i | ||||
\(748\) | −10.5292 | + | 14.4922i | −0.384987 | + | 0.529889i | ||||
\(749\) | −5.29551 | + | 9.17210i | −0.193494 | + | 0.335141i | ||||
\(750\) | 37.6132 | − | 26.4257i | 1.37344 | − | 0.964930i | ||||
\(751\) | 7.42785 | + | 12.8654i | 0.271046 | + | 0.469466i | 0.969130 | − | 0.246550i | \(-0.0792971\pi\) |
−0.698084 | + | 0.716016i | \(0.745964\pi\) | |||||||
\(752\) | −9.28417 | − | 0.975806i | −0.338559 | − | 0.0355840i | ||||
\(753\) | −14.3909 | − | 21.1184i | −0.524435 | − | 0.769597i | ||||
\(754\) | −0.474865 | − | 0.100936i | −0.0172935 | − | 0.00367586i | ||||
\(755\) | −4.62960 | + | 5.98413i | −0.168489 | + | 0.217785i | ||||
\(756\) | −42.2939 | + | 25.2287i | −1.53822 | + | 0.917558i | ||||
\(757\) | − | 14.4671i | − | 0.525817i | −0.964821 | − | 0.262909i | \(-0.915318\pi\) | ||
0.964821 | − | 0.262909i | \(-0.0846818\pi\) | |||||||
\(758\) | 26.5321 | − | 23.8896i | 0.963689 | − | 0.867709i | ||||
\(759\) | 3.24461 | + | 2.51024i | 0.117772 | + | 0.0911161i | ||||
\(760\) | −34.2598 | + | 35.8168i | −1.24273 | + | 1.29921i | ||||
\(761\) | 2.26937 | − | 21.5916i | 0.0822645 | − | 0.782695i | −0.873155 | − | 0.487443i | \(-0.837930\pi\) |
0.955419 | − | 0.295252i | \(-0.0954036\pi\) | |||||||
\(762\) | −21.9827 | − | 53.6737i | −0.796349 | − | 1.94439i | ||||
\(763\) | 18.8279 | − | 1.97889i | 0.681616 | − | 0.0716408i | ||||
\(764\) | −42.6960 | − | 31.0205i | −1.54469 | − | 1.12228i | ||||
\(765\) | 29.3505 | − | 27.1951i | 1.06117 | − | 0.983240i | ||||
\(766\) | 1.75013 | − | 1.27155i | 0.0632349 | − | 0.0459429i | ||||
\(767\) | 5.19905 | − | 4.68124i | 0.187727 | − | 0.169030i | ||||
\(768\) | −32.9779 | − | 31.5450i | −1.18999 | − | 1.13828i | ||||
\(769\) | 19.1956 | − | 4.08016i | 0.692212 | − | 0.147134i | 0.151645 | − | 0.988435i | \(-0.451543\pi\) |
0.540567 | + | 0.841301i | \(0.318210\pi\) | |||||||
\(770\) | −2.03926 | − | 11.2517i | −0.0734899 | − | 0.405483i | ||||
\(771\) | −38.1196 | − | 18.3686i | −1.37284 | − | 0.661528i | ||||
\(772\) | 17.8039 | − | 83.7607i | 0.640776 | − | 3.01461i | ||||
\(773\) | 6.19465 | − | 8.52620i | 0.222806 | − | 0.306666i | −0.682951 | − | 0.730465i | \(-0.739304\pi\) |
0.905756 | + | 0.423799i | \(0.139304\pi\) | |||||||
\(774\) | 60.4165 | + | 31.3915i | 2.17162 | + | 1.12834i | ||||
\(775\) | 40.4505 | + | 2.44175i | 1.45302 | + | 0.0877104i | ||||
\(776\) | 29.9563 | − | 51.8858i | 1.07537 | − | 1.86259i | ||||
\(777\) | −31.9098 | + | 27.0348i | −1.14476 | + | 0.969870i | ||||
\(778\) | −30.0183 | − | 27.0286i | −1.07621 | − | 0.969021i | ||||
\(779\) | −8.23957 | + | 9.15096i | −0.295213 | + | 0.327867i | ||||
\(780\) | −13.0816 | + | 15.8946i | −0.468395 | + | 0.569117i | ||||
\(781\) | 0.184314 | + | 0.204702i | 0.00659528 | + | 0.00732480i | ||||
\(782\) | − | 40.5883i | − | 1.45143i | ||||||
\(783\) | 0.726661 | − | 0.0103550i | 0.0259687 | − | 0.000370059i | ||||
\(784\) | −0.316428 | + | 0.229898i | −0.0113010 | + | 0.00821066i | ||||
\(785\) | 33.9288 | − | 13.8964i | 1.21097 | − | 0.495984i | ||||
\(786\) | −13.9947 | + | 39.0259i | −0.499175 | + | 1.39201i | ||||
\(787\) | 12.8885 | − | 28.9480i | 0.459425 | − | 1.03189i | −0.524190 | − | 0.851602i | \(-0.675632\pi\) |
0.983615 | − | 0.180284i | \(-0.0577017\pi\) | |||||||
\(788\) | −5.70701 | + | 12.8181i | −0.203304 | + | 0.456628i | ||||
\(789\) | 15.9317 | + | 18.8046i | 0.567184 | + | 0.669460i | ||||
\(790\) | 5.22558 | + | 69.9422i | 0.185918 | + | 2.48843i | ||||
\(791\) | 4.37880 | − | 3.18138i | 0.155692 | − | 0.113117i | ||||
\(792\) | −2.56346 | + | 9.27134i | −0.0910885 | + | 0.329443i | ||||
\(793\) | 21.1943i | 0.752633i | ||||||||
\(794\) | −49.8659 | − | 55.3817i | −1.76967 | − | 1.96542i | ||||
\(795\) | 29.8528 | + | 30.3308i | 1.05877 | + | 1.07572i | ||||
\(796\) | 28.5434 | − | 31.7006i | 1.01169 | − | 1.12360i | ||||
\(797\) | 13.4647 | + | 12.1236i | 0.476943 | + | 0.429441i | 0.872215 | − | 0.489123i | \(-0.162683\pi\) |
−0.395272 | + | 0.918564i | \(0.629350\pi\) | |||||||
\(798\) | −10.9190 | − | 60.2500i | −0.386529 | − | 2.13283i | ||||
\(799\) | −14.3333 | + | 24.8260i | −0.507075 | + | 0.878279i | ||||
\(800\) | −15.2483 | + | 3.95643i | −0.539109 | + | 0.139881i | ||||
\(801\) | −12.2056 | + | 7.78910i | −0.431264 | + | 0.275214i | ||||
\(802\) | −18.6990 | + | 25.7369i | −0.660284 | + | 0.908803i | ||||
\(803\) | 1.19995 | − | 5.64531i | 0.0423453 | − | 0.199219i | ||||
\(804\) | 2.55276 | + | 34.1728i | 0.0900288 | + | 1.20518i | ||||
\(805\) | 12.0777 | + | 11.5527i | 0.425684 | + | 0.407179i | ||||
\(806\) | −27.5181 | + | 5.84916i | −0.969285 | + | 0.206028i | ||||
\(807\) | −33.5679 | + | 9.79824i | −1.18165 | + | 0.344914i | ||||
\(808\) | 50.5995 | − | 45.5600i | 1.78008 | − | 1.60279i | ||||
\(809\) | 1.25928 | − | 0.914920i | 0.0442739 | − | 0.0321669i | −0.565428 | − | 0.824798i | \(-0.691289\pi\) |
0.609702 | + | 0.792631i | \(0.291289\pi\) | |||||||
\(810\) | 21.4189 | − | 42.7006i | 0.752584 | − | 1.50035i | ||||
\(811\) | −12.8701 | − | 9.35065i | −0.451929 | − | 0.328346i | 0.338428 | − | 0.940992i | \(-0.390105\pi\) |
−0.790357 | + | 0.612647i | \(0.790105\pi\) | |||||||
\(812\) | −1.31827 | + | 0.138556i | −0.0462624 | + | 0.00486237i | ||||
\(813\) | −15.4215 | + | 19.9331i | −0.540856 | + | 0.699084i | ||||
\(814\) | −1.89851 | + | 18.0631i | −0.0665427 | + | 0.633112i | ||||
\(815\) | 12.1340 | + | 22.5609i | 0.425035 | + | 0.790274i | ||||
\(816\) | 18.5706 | − | 7.60580i | 0.650100 | − | 0.266256i | ||||
\(817\) | −40.5811 | + | 36.5394i | −1.41975 | + | 1.27835i | ||||
\(818\) | − | 8.35104i | − | 0.291987i | ||||||
\(819\) | −2.87249 | − | 11.0718i | −0.100373 | − | 0.386879i | ||||
\(820\) | 16.8208 | − | 4.91008i | 0.587408 | − | 0.171467i | ||||
\(821\) | 10.1889 | + | 2.16572i | 0.355595 | + | 0.0755840i | 0.382245 | − | 0.924061i | \(-0.375151\pi\) |
−0.0266508 | + | 0.999645i | \(0.508484\pi\) | |||||||
\(822\) | −18.8434 | + | 39.1051i | −0.657240 | + | 1.36395i | ||||
\(823\) | −3.24942 | − | 0.341527i | −0.113267 | − | 0.0119049i | 0.0477251 | − | 0.998861i | \(-0.484803\pi\) |
−0.160993 | + | 0.986956i | \(0.551470\pi\) | |||||||
\(824\) | 4.03684 | + | 6.99202i | 0.140630 | + | 0.243579i | ||||
\(825\) | 4.86325 | + | 5.24858i | 0.169317 | + | 0.182732i | ||||
\(826\) | 14.8062 | − | 25.6450i | 0.515172 | − | 0.892304i | ||||
\(827\) | 29.1131 | − | 40.0708i | 1.01236 | − | 1.39340i | 0.0949395 | − | 0.995483i | \(-0.469734\pi\) |
0.917423 | − | 0.397914i | \(-0.130266\pi\) | |||||||
\(828\) | −10.9698 | − | 29.2710i | −0.381225 | − | 1.01724i | ||||
\(829\) | 6.83019 | + | 21.0212i | 0.237222 | + | 0.730095i | 0.996819 | + | 0.0797008i | \(0.0253965\pi\) |
−0.759596 | + | 0.650395i | \(0.774604\pi\) | |||||||
\(830\) | 3.17454 | + | 1.96272i | 0.110190 | + | 0.0681271i | ||||
\(831\) | −0.00720896 | + | 0.0116596i | −0.000250076 | + | 0.000404468i | ||||
\(832\) | 14.3908 | − | 8.30853i | 0.498911 | − | 0.288046i | ||||
\(833\) | 0.249714 | + | 1.17481i | 0.00865207 | + | 0.0407048i | ||||
\(834\) | −9.06679 | − | 7.01466i | −0.313957 | − | 0.242898i | ||||
\(835\) | 1.48350 | + | 19.8561i | 0.0513388 | + | 0.687148i | ||||
\(836\) | −13.8773 | − | 10.0824i | −0.479956 | − | 0.348708i | ||||
\(837\) | 38.2250 | − | 17.6757i | 1.32125 | − | 0.610962i | ||||
\(838\) | 41.5652 | + | 57.2096i | 1.43585 | + | 1.97627i | ||||
\(839\) | −6.32977 | + | 2.81820i | −0.218528 | + | 0.0972949i | −0.513081 | − | 0.858340i | \(-0.671496\pi\) |
0.294553 | + | 0.955635i | \(0.404829\pi\) | |||||||
\(840\) | −14.3346 | + | 36.4743i | −0.494591 | + | 1.25848i | ||||
\(841\) | −26.4749 | − | 11.7874i | −0.912929 | − | 0.406462i | ||||
\(842\) | 12.5089 | + | 58.8497i | 0.431085 | + | 2.02810i | ||||
\(843\) | 4.44281 | − | 18.1867i | 0.153018 | − | 0.626383i | ||||
\(844\) | 6.94476 | + | 7.71294i | 0.239049 | + | 0.265490i | ||||
\(845\) | 13.6772 | + | 20.0704i | 0.470509 | + | 0.690444i | ||||
\(846\) | −5.62269 | + | 33.7601i | −0.193312 | + | 1.16070i | ||||
\(847\) | −25.5850 | + | 8.31307i | −0.879111 | + | 0.285641i | ||||
\(848\) | 8.68141 | + | 19.4988i | 0.298121 | + | 0.669590i | ||||
\(849\) | −7.07053 | + | 7.39169i | −0.242660 | + | 0.253682i | ||||
\(850\) | 11.6290 | − | 69.8335i | 0.398872 | − | 2.39527i | ||||
\(851\) | −13.2732 | − | 22.9899i | −0.454999 | − | 0.788082i | ||||
\(852\) | −0.374288 | − | 2.06528i | −0.0128229 | − | 0.0707553i | ||||
\(853\) | 9.30379 | − | 43.7709i | 0.318556 | − | 1.49869i | −0.469418 | − | 0.882976i | \(-0.655536\pi\) |
0.787973 | − | 0.615710i | \(-0.211131\pi\) | |||||||
\(854\) | 27.7220 | + | 85.3194i | 0.948626 | + | 2.91957i | ||||
\(855\) | 26.0411 | + | 28.1050i | 0.890587 | + | 0.961172i | ||||
\(856\) | 4.87111 | − | 14.9917i | 0.166491 | − | 0.512407i | ||||
\(857\) | 43.4944 | + | 25.1115i | 1.48574 | + | 0.857793i | 0.999868 | − | 0.0162366i | \(-0.00516849\pi\) |
0.485873 | + | 0.874030i | \(0.338502\pi\) | |||||||
\(858\) | −4.22507 | − | 2.61229i | −0.144241 | − | 0.0891822i | ||||
\(859\) | −14.6584 | − | 6.52633i | −0.500137 | − | 0.222675i | 0.141133 | − | 0.989991i | \(-0.454926\pi\) |
−0.641270 | + | 0.767315i | \(0.721592\pi\) | |||||||
\(860\) | 76.4615 | − | 13.8579i | 2.60731 | − | 0.472550i | ||||
\(861\) | −3.28659 | + | 9.16505i | −0.112007 | + | 0.312344i | ||||
\(862\) | 19.4253 | − | 2.04168i | 0.661627 | − | 0.0695398i | ||||
\(863\) | −3.06032 | − | 4.21217i | −0.104174 | − | 0.143384i | 0.753747 | − | 0.657165i | \(-0.228244\pi\) |
−0.857921 | + | 0.513781i | \(0.828244\pi\) | |||||||
\(864\) | −12.0089 | + | 11.1267i | −0.408550 | + | 0.378539i | ||||
\(865\) | −0.134737 | − | 0.461577i | −0.00458118 | − | 0.0156941i | ||||
\(866\) | 0.0588259 | + | 0.559691i | 0.00199898 | + | 0.0190191i | ||||
\(867\) | 0.970254 | − | 32.1638i | 0.0329516 | − | 1.09234i | ||||
\(868\) | −66.5229 | + | 38.4070i | −2.25794 | + | 1.30362i | ||||
\(869\) | −10.6789 | + | 2.26987i | −0.362256 | + | 0.0769999i | ||||
\(870\) | 1.00567 | − | 0.801232i | 0.0340953 | − | 0.0271643i | ||||
\(871\) | −7.78532 | − | 1.65482i | −0.263796 | − | 0.0560715i | ||||
\(872\) | −26.7980 | + | 8.70719i | −0.907494 | + | 0.294863i | ||||
\(873\) | −38.6411 | − | 25.5330i | −1.30780 | − | 0.864162i | ||||
\(874\) | 38.8660 | 1.31466 | ||||||||
\(875\) | 17.4701 | + | 23.3372i | 0.590598 | + | 0.788941i | ||||
\(876\) | −30.3988 | + | 31.7796i | −1.02708 | + | 1.07373i | ||||
\(877\) | −32.4195 | − | 3.40742i | −1.09473 | − | 0.115061i | −0.460092 | − | 0.887871i | \(-0.652183\pi\) |
−0.634636 | + | 0.772811i | \(0.718850\pi\) | |||||||
\(878\) | −9.60781 | − | 8.65091i | −0.324248 | − | 0.291954i | ||||
\(879\) | −19.4160 | − | 9.35593i | −0.654886 | − | 0.315568i | ||||
\(880\) | 1.36015 | + | 3.32089i | 0.0458508 | + | 0.111947i | ||||
\(881\) | 4.65942 | − | 14.3402i | 0.156980 | − | 0.483135i | −0.841376 | − | 0.540450i | \(-0.818254\pi\) |
0.998356 | + | 0.0573153i | \(0.0182540\pi\) | |||||||
\(882\) | 0.771395 | + | 1.20879i | 0.0259742 | + | 0.0407019i | ||||
\(883\) | 53.7463 | + | 17.4632i | 1.80871 | + | 0.587684i | 1.00000 | 0.000529301i | \(-0.000168482\pi\) | |
0.808706 | + | 0.588213i | \(0.200168\pi\) | |||||||
\(884\) | 3.31393 | + | 31.5299i | 0.111460 | + | 1.06047i | ||||
\(885\) | 0.822766 | + | 18.5113i | 0.0276570 | + | 0.622251i | ||||
\(886\) | −7.64090 | + | 72.6983i | −0.256701 | + | 2.44235i | ||||
\(887\) | −11.4838 | + | 25.7930i | −0.385588 | + | 0.866045i | 0.611604 | + | 0.791164i | \(0.290524\pi\) |
−0.997192 | + | 0.0748814i | \(0.976142\pi\) | |||||||
\(888\) | 38.0896 | − | 49.2327i | 1.27820 | − | 1.65214i | ||||
\(889\) | 33.6027 | − | 14.9609i | 1.12700 | − | 0.501772i | ||||
\(890\) | −8.64724 | + | 24.1147i | −0.289856 | + | 0.808327i | ||||
\(891\) | 7.03464 | + | 2.41007i | 0.235669 | + | 0.0807403i | ||||
\(892\) | −22.7051 | − | 7.37732i | −0.760222 | − | 0.247011i | ||||
\(893\) | −23.7725 | − | 13.7251i | −0.795517 | − | 0.459292i | ||||
\(894\) | −6.96519 | − | 0.210112i | −0.232951 | − | 0.00702719i | ||||
\(895\) | −8.00618 | − | 44.1744i | −0.267617 | − | 1.47659i | ||||
\(896\) | 36.0699 | − | 40.0597i | 1.20501 | − | 1.33830i | ||||
\(897\) | 7.24019 | − | 0.540852i | 0.241743 | − | 0.0180585i | ||||
\(898\) | −16.3919 | − | 36.8168i | −0.547004 | − | 1.22859i | ||||
\(899\) | 1.13354 | 0.0378057 | ||||||||
\(900\) | −10.4874 | − | 53.5046i | −0.349579 | − | 1.78349i | ||||
\(901\) | 65.5425 | 2.18354 | ||||||||
\(902\) | 1.71983 | + | 3.86280i | 0.0572641 | + | 0.128617i | ||||
\(903\) | −18.7434 | + | 38.8975i | −0.623741 | + | 1.29443i | ||||
\(904\) | −5.39034 | + | 5.98657i | −0.179280 | + | 0.199110i | ||||
\(905\) | −4.52123 | + | 9.38301i | −0.150291 | + | 0.311902i | ||||
\(906\) | 6.58939 | + | 12.2521i | 0.218918 | + | 0.407048i | ||||
\(907\) | −27.2608 | − | 15.7390i | −0.905180 | − | 0.522606i | −0.0263030 | − | 0.999654i | \(-0.508373\pi\) |
−0.878877 | + | 0.477048i | \(0.841707\pi\) | |||||||
\(908\) | 4.56374 | + | 1.48285i | 0.151453 | + | 0.0492101i | ||||
\(909\) | −32.7979 | − | 41.1673i | −1.08784 | − | 1.36543i | ||||
\(910\) | −16.0069 | − | 12.3837i | −0.530623 | − | 0.410515i | ||||
\(911\) | 33.3178 | − | 14.8341i | 1.10387 | − | 0.491474i | 0.227824 | − | 0.973702i | \(-0.426839\pi\) |
0.876046 | + | 0.482228i | \(0.160172\pi\) | |||||||
\(912\) | 7.28306 | + | 17.7826i | 0.241166 | + | 0.588840i | ||||
\(913\) | −0.236299 | + | 0.530736i | −0.00782036 | + | 0.0175648i | ||||
\(914\) | 2.41796 | − | 23.0053i | 0.0799789 | − | 0.760948i | ||||
\(915\) | −43.3433 | − | 35.6724i | −1.43288 | − | 1.17929i | ||||
\(916\) | −1.43811 | − | 13.6827i | −0.0475165 | − | 0.452090i | ||||
\(917\) | −25.0056 | − | 8.12482i | −0.825758 | − | 0.268305i | ||||
\(918\) | −23.7298 | − | 69.6405i | −0.783201 | − | 2.29848i | ||||
\(919\) | −4.69139 | + | 14.4386i | −0.154755 | + | 0.476286i | −0.998136 | − | 0.0610294i | \(-0.980562\pi\) |
0.843381 | + | 0.537316i | \(0.180562\pi\) | |||||||
\(920\) | −21.1581 | − | 13.0814i | −0.697563 | − | 0.431281i | ||||
\(921\) | 19.7871 | − | 13.4838i | 0.652008 | − | 0.444305i | ||||
\(922\) | −9.26831 | − | 8.34522i | −0.305236 | − | 0.274835i | ||||
\(923\) | 0.484835 | + | 0.0509582i | 0.0159585 | + | 0.00167731i | ||||
\(924\) | −13.1756 | − | 3.21865i | −0.433445 | − | 0.105886i | ||||
\(925\) | −16.2501 | − | 43.3577i | −0.534301 | − | 1.42559i | ||||
\(926\) | −73.7915 | −2.42494 | ||||||||
\(927\) | 5.58339 | − | 2.78917i | 0.183383 | − | 0.0916082i | ||||
\(928\) | −0.419083 | + | 0.136168i | −0.0137571 | + | 0.00446994i | ||||
\(929\) | −28.6602 | − | 6.09191i | −0.940311 | − | 0.199869i | −0.287836 | − | 0.957680i | \(-0.592936\pi\) |
−0.652475 | + | 0.757810i | \(0.726269\pi\) | |||||||
\(930\) | 34.3543 | − | 66.1205i | 1.12652 | − | 2.16818i | ||||
\(931\) | −1.12496 | + | 0.239118i | −0.0368691 | + | 0.00783677i | ||||
\(932\) | −2.66856 | + | 1.54070i | −0.0874117 | + | 0.0504672i | ||||
\(933\) | 19.5486 | − | 10.5136i | 0.639993 | − | 0.344200i | ||||
\(934\) | 2.72416 | + | 25.9187i | 0.0891373 | + | 0.848085i | ||||
\(935\) | 11.0149 | + | 0.332149i | 0.360224 | + | 0.0108624i | ||||
\(936\) | 7.60800 | + | 15.2298i | 0.248675 | + | 0.497801i | ||||
\(937\) | −0.860125 | − | 1.18386i | −0.0280991 | − | 0.0386750i | 0.794736 | − | 0.606955i | \(-0.207609\pi\) |
−0.822835 | + | 0.568280i | \(0.807609\pi\) | |||||||
\(938\) | −33.5049 | + | 3.52151i | −1.09397 | + | 0.114981i | ||||
\(939\) | 25.3851 | + | 29.9626i | 0.828412 | + | 0.977793i | ||||
\(940\) | 18.5025 | + | 34.4020i | 0.603485 | + | 1.12207i | ||||
\(941\) | 49.8887 | + | 22.2119i | 1.62633 | + | 0.724087i | 0.998525 | − | 0.0542873i | \(-0.0172887\pi\) |
0.627801 | + | 0.778374i | \(0.283955\pi\) | |||||||
\(942\) | 2.03274 | − | 67.3850i | 0.0662301 | − | 2.19552i | ||||
\(943\) | −5.35217 | − | 3.09008i | −0.174291 | − | 0.100627i | ||||
\(944\) | −2.87176 | + | 8.83837i | −0.0934678 | + | 0.287664i | ||||
\(945\) | 27.4769 | + | 12.7607i | 0.893825 | + | 0.415104i | ||||
\(946\) | 5.79445 | + | 17.8335i | 0.188394 | + | 0.579816i | ||||
\(947\) | 5.21980 | − | 24.5572i | 0.169621 | − | 0.798003i | −0.808258 | − | 0.588829i | \(-0.799589\pi\) |
0.977878 | − | 0.209174i | \(-0.0670774\pi\) | |||||||
\(948\) | 78.3069 | + | 28.0809i | 2.54329 | + | 0.912025i | ||||
\(949\) | −5.10722 | − | 8.84597i | −0.165787 | − | 0.287152i | ||||
\(950\) | 66.8703 | + | 11.1356i | 2.16956 | + | 0.361285i | ||||
\(951\) | −50.4261 | − | 12.3185i | −1.63518 | − | 0.399456i | ||||
\(952\) | 24.5491 | + | 55.1382i | 0.795641 | + | 1.78704i | ||||
\(953\) | −21.6721 | + | 7.04171i | −0.702030 | + | 0.228103i | −0.638215 | − | 0.769859i | \(-0.720327\pi\) |
−0.0638150 | + | 0.997962i | \(0.520327\pi\) | |||||||
\(954\) | 73.2749 | − | 27.4609i | 2.37236 | − | 0.889081i | ||||
\(955\) | −0.978553 | + | 32.4512i | −0.0316652 | + | 1.05010i | ||||
\(956\) | −35.7950 | − | 39.7544i | −1.15769 | − | 1.28575i | ||||
\(957\) | 0.144634 | + | 0.138350i | 0.00467535 | + | 0.00447222i | ||||
\(958\) | −10.2268 | − | 48.1131i | −0.330412 | − | 1.55447i | ||||
\(959\) | −25.1485 | − | 11.1968i | −0.812088 | − | 0.361565i | ||||
\(960\) | −7.23001 | + | 43.4140i | −0.233348 | + | 1.40118i | ||||
\(961\) | 31.6891 | − | 14.1089i | 1.02223 | − | 0.455126i | ||||
\(962\) | 18.8942 | + | 26.0056i | 0.609173 | + | 0.838455i | ||||
\(963\) | −11.3412 | − | 4.45729i | −0.365464 | − | 0.143634i | ||||
\(964\) | 12.0645 | + | 8.76541i | 0.388573 | + | 0.282315i | ||||
\(965\) | −48.7483 | + | 19.9661i | −1.56926 | + | 0.642731i | ||||
\(966\) | 28.4385 | − | 11.6473i | 0.914995 | − | 0.374747i | ||||
\(967\) | 4.86324 | + | 22.8797i | 0.156391 | + | 0.735763i | 0.984527 | + | 0.175235i | \(0.0560685\pi\) |
−0.828135 | + | 0.560528i | \(0.810598\pi\) | |||||||
\(968\) | 34.6751 | − | 20.0197i | 1.11450 | − | 0.643457i | ||||
\(969\) | 58.9816 | + | 1.77924i | 1.89476 | + | 0.0571574i | ||||
\(970\) | −81.7178 | + | 6.10537i | −2.62380 | + | 0.196032i | ||||
\(971\) | 0.573657 | + | 1.76553i | 0.0184095 | + | 0.0566587i | 0.959839 | − | 0.280551i | \(-0.0905170\pi\) |
−0.941430 | + | 0.337209i | \(0.890517\pi\) | |||||||
\(972\) | −35.9349 | − | 43.8091i | −1.15261 | − | 1.40518i | ||||
\(973\) | 4.27313 | − | 5.88145i | 0.136990 | − | 0.188551i | ||||
\(974\) | −34.2740 | + | 59.3644i | −1.09821 | + | 1.90216i | ||||
\(975\) | 12.6119 | + | 1.14384i | 0.403905 | + | 0.0366323i | ||||
\(976\) | −14.0768 | − | 24.3818i | −0.450589 | − | 0.780443i | ||||
\(977\) | 7.11819 | + | 0.748152i | 0.227731 | + | 0.0239355i | 0.217707 | − | 0.976014i | \(-0.430142\pi\) |
0.0100245 | + | 0.999950i | \(0.496809\pi\) | |||||||
\(978\) | 46.9716 | − | 3.50884i | 1.50199 | − | 0.112200i | ||||
\(979\) | −3.90056 | − | 0.829089i | −0.124662 | − | 0.0264978i | ||||
\(980\) | 1.54055 | + | 0.552422i | 0.0492111 | + | 0.0176465i | ||||
\(981\) | 5.47008 | + | 21.0840i | 0.174646 | + | 0.673160i | ||||
\(982\) | − | 90.0284i | − | 2.87292i | ||||||
\(983\) | −10.8669 | + | 9.78464i | −0.346602 | + | 0.312081i | −0.823983 | − | 0.566615i | \(-0.808253\pi\) |
0.477381 | + | 0.878696i | \(0.341586\pi\) | |||||||
\(984\) | 1.94864 | − | 14.3598i | 0.0621202 | − | 0.457775i | ||||
\(985\) | 8.49328 | − | 1.53932i | 0.270618 | − | 0.0490470i | ||||
\(986\) | 0.206996 | − | 1.96944i | 0.00659210 | − | 0.0627196i | ||||
\(987\) | −21.5076 | − | 2.91859i | −0.684595 | − | 0.0928999i | ||||
\(988\) | −30.1920 | + | 3.17331i | −0.960536 | + | 0.100956i | ||||
\(989\) | −22.1725 | − | 16.1093i | −0.705044 | − | 0.512245i | ||||
\(990\) | 12.4535 | − | 4.24366i | 0.395798 | − | 0.134872i | ||||
\(991\) | −5.71565 | + | 4.15266i | −0.181564 | + | 0.131914i | −0.674855 | − | 0.737951i | \(-0.735794\pi\) |
0.493291 | + | 0.869864i | \(0.335794\pi\) | |||||||
\(992\) | −18.9765 | + | 17.0865i | −0.602505 | + | 0.542498i | ||||
\(993\) | −0.931153 | + | 3.81169i | −0.0295493 | + | 0.120960i | ||||
\(994\) | 2.01839 | − | 0.429023i | 0.0640195 | − | 0.0136078i | ||||
\(995\) | −26.0035 | − | 3.52838i | −0.824365 | − | 0.111857i | ||||
\(996\) | 3.65824 | − | 2.49288i | 0.115916 | − | 0.0789898i | ||||
\(997\) | −1.43222 | + | 6.73805i | −0.0453588 | + | 0.213396i | −0.994990 | − | 0.0999729i | \(-0.968124\pi\) |
0.949631 | + | 0.313369i | \(0.101458\pi\) | |||||||
\(998\) | 1.47305 | − | 2.02749i | 0.0466287 | − | 0.0641789i | ||||
\(999\) | −36.2148 | − | 31.6854i | −1.14579 | − | 1.00248i |
(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 | 225.2.u.a.34.25 | ✓ | 224 | |
3.2 | odd | 2 | 675.2.y.a.559.4 | 224 | |||
9.4 | even | 3 | inner | 225.2.u.a.184.4 | yes | 224 | |
9.5 | odd | 6 | 675.2.y.a.334.25 | 224 | |||
25.14 | even | 10 | inner | 225.2.u.a.214.4 | yes | 224 | |
75.14 | odd | 10 | 675.2.y.a.289.25 | 224 | |||
225.14 | odd | 30 | 675.2.y.a.64.4 | 224 | |||
225.139 | even | 30 | inner | 225.2.u.a.139.25 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.u.a.34.25 | ✓ | 224 | 1.1 | even | 1 | trivial | |
225.2.u.a.139.25 | yes | 224 | 225.139 | even | 30 | inner | |
225.2.u.a.184.4 | yes | 224 | 9.4 | even | 3 | inner | |
225.2.u.a.214.4 | yes | 224 | 25.14 | even | 10 | inner | |
675.2.y.a.64.4 | 224 | 225.14 | odd | 30 | |||
675.2.y.a.289.25 | 224 | 75.14 | odd | 10 | |||
675.2.y.a.334.25 | 224 | 9.5 | odd | 6 | |||
675.2.y.a.559.4 | 224 | 3.2 | odd | 2 |