Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [75,3,Mod(11,75)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(75, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 8]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("75.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 75 = 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 75.j (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.04360198270\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.9 | ||
Character | \(\chi\) | \(=\) | 75.11 |
Dual form | 75.3.j.a.41.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/75\mathbb{Z}\right)^\times\).
\(n\) | \(26\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0749426 | − | 0.103150i | −0.0374713 | − | 0.0515748i | 0.789870 | − | 0.613274i | \(-0.210148\pi\) |
−0.827342 | + | 0.561699i | \(0.810148\pi\) | |||||||
\(3\) | 1.19040 | + | 2.75372i | 0.396799 | + | 0.917906i | ||||
\(4\) | 1.23104 | − | 3.78877i | 0.307761 | − | 0.947191i | ||||
\(5\) | −0.601131 | + | 4.96373i | −0.120226 | + | 0.992747i | ||||
\(6\) | 0.194834 | − | 0.329160i | 0.0324723 | − | 0.0548599i | ||||
\(7\) | 8.18661 | 1.16952 | 0.584758 | − | 0.811208i | \(-0.301190\pi\) | ||||
0.584758 | + | 0.811208i | \(0.301190\pi\) | |||||||
\(8\) | −0.968106 | + | 0.314557i | −0.121013 | + | 0.0393196i | ||||
\(9\) | −6.16592 | + | 6.55603i | −0.685102 | + | 0.728447i | ||||
\(10\) | 0.557058 | − | 0.309989i | 0.0557058 | − | 0.0309989i | ||||
\(11\) | 0.588883 | + | 0.810528i | 0.0535349 | + | 0.0736844i | 0.834945 | − | 0.550333i | \(-0.185499\pi\) |
−0.781410 | + | 0.624018i | \(0.785499\pi\) | |||||||
\(12\) | 11.8986 | − | 1.12018i | 0.991552 | − | 0.0933485i | ||||
\(13\) | 0.562554 | + | 0.408719i | 0.0432734 | + | 0.0314399i | 0.609212 | − | 0.793008i | \(-0.291486\pi\) |
−0.565938 | + | 0.824448i | \(0.691486\pi\) | |||||||
\(14\) | −0.613526 | − | 0.844446i | −0.0438233 | − | 0.0603176i | ||||
\(15\) | −14.3843 | + | 4.25346i | −0.958953 | + | 0.283564i | ||||
\(16\) | −12.7867 | − | 9.29006i | −0.799167 | − | 0.580629i | ||||
\(17\) | 11.4316 | − | 3.71436i | 0.672449 | − | 0.218492i | 0.0471627 | − | 0.998887i | \(-0.484982\pi\) |
0.625287 | + | 0.780395i | \(0.284982\pi\) | |||||||
\(18\) | 1.13834 | + | 0.144686i | 0.0632412 | + | 0.00803812i | ||||
\(19\) | −5.30271 | − | 16.3201i | −0.279090 | − | 0.858952i | −0.988108 | − | 0.153761i | \(-0.950861\pi\) |
0.709018 | − | 0.705191i | \(-0.249139\pi\) | |||||||
\(20\) | 18.0664 | + | 8.38812i | 0.903320 | + | 0.419406i | ||||
\(21\) | 9.74530 | + | 22.5436i | 0.464062 | + | 1.07350i | ||||
\(22\) | 0.0394733 | − | 0.121486i | 0.00179424 | − | 0.00552210i | ||||
\(23\) | −23.8282 | − | 32.7967i | −1.03601 | − | 1.42595i | −0.900338 | − | 0.435191i | \(-0.856681\pi\) |
−0.135672 | − | 0.990754i | \(-0.543319\pi\) | |||||||
\(24\) | −2.01863 | − | 2.29144i | −0.0841096 | − | 0.0954768i | ||||
\(25\) | −24.2773 | − | 5.96771i | −0.971091 | − | 0.238708i | ||||
\(26\) | − | 0.0886577i | − | 0.00340991i | ||||||
\(27\) | −25.3933 | − | 9.17492i | −0.940493 | − | 0.339812i | ||||
\(28\) | 10.0781 | − | 31.0171i | 0.359931 | − | 1.10775i | ||||
\(29\) | −31.6359 | − | 10.2791i | −1.09089 | − | 0.354452i | −0.292301 | − | 0.956326i | \(-0.594421\pi\) |
−0.798591 | + | 0.601874i | \(0.794421\pi\) | |||||||
\(30\) | 1.51674 | + | 1.16497i | 0.0505580 | + | 0.0388323i | ||||
\(31\) | 13.1968 | + | 40.6157i | 0.425704 | + | 1.31018i | 0.902318 | + | 0.431071i | \(0.141864\pi\) |
−0.476614 | + | 0.879113i | \(0.658136\pi\) | |||||||
\(32\) | 6.08687i | 0.190215i | ||||||||
\(33\) | −1.53096 | + | 2.58647i | −0.0463928 | + | 0.0783778i | ||||
\(34\) | −1.23985 | − | 0.900805i | −0.0364662 | − | 0.0264943i | ||||
\(35\) | −4.92122 | + | 40.6361i | −0.140606 | + | 1.16103i | ||||
\(36\) | 17.2487 | + | 31.4320i | 0.479131 | + | 0.873110i | ||||
\(37\) | 0.0259649 | + | 0.0188646i | 0.000701755 | + | 0.000509855i | 0.588136 | − | 0.808762i | \(-0.299862\pi\) |
−0.587434 | + | 0.809272i | \(0.699862\pi\) | |||||||
\(38\) | −1.28601 | + | 1.77004i | −0.0338424 | + | 0.0465801i | ||||
\(39\) | −0.455836 | + | 2.03565i | −0.0116881 | + | 0.0521962i | ||||
\(40\) | −0.979417 | − | 4.99451i | −0.0244854 | − | 0.124863i | ||||
\(41\) | 25.8764 | − | 35.6159i | 0.631133 | − | 0.868680i | −0.366971 | − | 0.930232i | \(-0.619605\pi\) |
0.998104 | + | 0.0615527i | \(0.0196052\pi\) | |||||||
\(42\) | 1.59503 | − | 2.69470i | 0.0379768 | − | 0.0641596i | ||||
\(43\) | 45.0376 | 1.04739 | 0.523693 | − | 0.851907i | \(-0.324554\pi\) | ||||
0.523693 | + | 0.851907i | \(0.324554\pi\) | |||||||
\(44\) | 3.79584 | − | 1.23334i | 0.0862692 | − | 0.0280306i | ||||
\(45\) | −28.8358 | − | 34.5470i | −0.640797 | − | 0.767711i | ||||
\(46\) | −1.59722 | + | 4.91575i | −0.0347222 | + | 0.106864i | ||||
\(47\) | 34.8458 | + | 11.3221i | 0.741401 | + | 0.240896i | 0.655277 | − | 0.755389i | \(-0.272552\pi\) |
0.0861239 | + | 0.996284i | \(0.472552\pi\) | |||||||
\(48\) | 10.3610 | − | 46.2697i | 0.215854 | − | 0.963952i | ||||
\(49\) | 18.0206 | 0.367766 | ||||||||
\(50\) | 1.20384 | + | 2.95143i | 0.0240767 | + | 0.0590286i | ||||
\(51\) | 23.8365 | + | 27.0579i | 0.467382 | + | 0.530548i | ||||
\(52\) | 2.24107 | − | 1.62823i | 0.0430975 | − | 0.0313122i | ||||
\(53\) | 39.7404 | + | 12.9124i | 0.749819 | + | 0.243631i | 0.658903 | − | 0.752228i | \(-0.271021\pi\) |
0.0909156 | + | 0.995859i | \(0.471021\pi\) | |||||||
\(54\) | 0.956652 | + | 3.30690i | 0.0177158 | + | 0.0612390i | ||||
\(55\) | −4.37724 | + | 2.43583i | −0.0795862 | + | 0.0442877i | ||||
\(56\) | −7.92551 | + | 2.57515i | −0.141527 | + | 0.0459849i | ||||
\(57\) | 38.6285 | − | 34.0295i | 0.677694 | − | 0.597009i | ||||
\(58\) | 1.31059 | + | 4.03357i | 0.0225963 | + | 0.0695444i | ||||
\(59\) | −67.5093 | + | 92.9186i | −1.14423 | + | 1.57489i | −0.386538 | + | 0.922273i | \(0.626329\pi\) |
−0.757687 | + | 0.652618i | \(0.773671\pi\) | |||||||
\(60\) | −1.59234 | + | 59.7349i | −0.0265390 | + | 0.995582i | ||||
\(61\) | 24.5809 | − | 17.8591i | 0.402966 | − | 0.292772i | −0.367782 | − | 0.929912i | \(-0.619883\pi\) |
0.770748 | + | 0.637140i | \(0.219883\pi\) | |||||||
\(62\) | 3.20049 | − | 4.40509i | 0.0516208 | − | 0.0710499i | ||||
\(63\) | −50.4779 | + | 53.6716i | −0.801237 | + | 0.851931i | ||||
\(64\) | −50.5188 | + | 36.7041i | −0.789356 | + | 0.573501i | ||||
\(65\) | −2.36694 | + | 2.54667i | −0.0364145 | + | 0.0391796i | ||||
\(66\) | 0.381528 | − | 0.0359185i | 0.00578072 | − | 0.000544220i | ||||
\(67\) | 22.6392 | + | 69.6762i | 0.337898 | + | 1.03994i | 0.965277 | + | 0.261229i | \(0.0841279\pi\) |
−0.627378 | + | 0.778715i | \(0.715872\pi\) | |||||||
\(68\) | − | 47.8843i | − | 0.704181i | ||||||
\(69\) | 61.9479 | − | 104.657i | 0.897796 | − | 1.51677i | ||||
\(70\) | 4.56041 | − | 2.53776i | 0.0651487 | − | 0.0362536i | ||||
\(71\) | −60.4809 | − | 19.6514i | −0.851844 | − | 0.276781i | −0.149626 | − | 0.988743i | \(-0.547807\pi\) |
−0.702218 | + | 0.711962i | \(0.747807\pi\) | |||||||
\(72\) | 3.90702 | − | 8.28646i | 0.0542641 | − | 0.115090i | ||||
\(73\) | −86.8989 | + | 63.1357i | −1.19040 | + | 0.864873i | −0.993306 | − | 0.115513i | \(-0.963149\pi\) |
−0.197089 | + | 0.980386i | \(0.563149\pi\) | |||||||
\(74\) | − | 0.00409204i | − | 5.52978e-5i | ||||||
\(75\) | −12.4662 | − | 73.9567i | −0.166216 | − | 0.986089i | ||||
\(76\) | −68.3608 | −0.899485 | ||||||||
\(77\) | 4.82096 | + | 6.63548i | 0.0626098 | + | 0.0861750i | ||||
\(78\) | 0.244138 | − | 0.105538i | 0.00312998 | − | 0.00135305i | ||||
\(79\) | 7.80969 | − | 24.0358i | 0.0988568 | − | 0.304250i | −0.889383 | − | 0.457163i | \(-0.848865\pi\) |
0.988240 | + | 0.152913i | \(0.0488655\pi\) | |||||||
\(80\) | 53.7998 | − | 57.8851i | 0.672498 | − | 0.723563i | ||||
\(81\) | −4.96298 | − | 80.8478i | −0.0612713 | − | 0.998121i | ||||
\(82\) | −5.61301 | −0.0684514 | ||||||||
\(83\) | 98.8345 | − | 32.1133i | 1.19078 | − | 0.386907i | 0.354417 | − | 0.935087i | \(-0.384679\pi\) |
0.836360 | + | 0.548180i | \(0.184679\pi\) | |||||||
\(84\) | 97.4093 | − | 9.17050i | 1.15963 | − | 0.109173i | ||||
\(85\) | 11.5652 | + | 58.9764i | 0.136061 | + | 0.693840i | ||||
\(86\) | −3.37523 | − | 4.64561i | −0.0392469 | − | 0.0540187i | ||||
\(87\) | −9.35343 | − | 99.3525i | −0.107511 | − | 1.14198i | ||||
\(88\) | −0.825059 | − | 0.599440i | −0.00937567 | − | 0.00681182i | ||||
\(89\) | −44.0718 | − | 60.6596i | −0.495189 | − | 0.681569i | 0.486146 | − | 0.873878i | \(-0.338402\pi\) |
−0.981334 | + | 0.192309i | \(0.938402\pi\) | |||||||
\(90\) | −1.40248 | + | 5.56345i | −0.0155831 | + | 0.0618161i | ||||
\(91\) | 4.60541 | + | 3.34602i | 0.0506089 | + | 0.0367695i | ||||
\(92\) | −153.593 | + | 49.9053i | −1.66949 | + | 0.542449i | ||||
\(93\) | −96.1346 | + | 84.6891i | −1.03371 | + | 0.910635i | ||||
\(94\) | −1.44357 | − | 4.44284i | −0.0153571 | − | 0.0472643i | ||||
\(95\) | 84.1961 | − | 16.5108i | 0.886275 | − | 0.173797i | ||||
\(96\) | −16.7615 | + | 7.24579i | −0.174599 | + | 0.0754769i | ||||
\(97\) | 25.4731 | − | 78.3983i | 0.262610 | − | 0.808230i | −0.729625 | − | 0.683848i | \(-0.760305\pi\) |
0.992234 | − | 0.124382i | \(-0.0396948\pi\) | |||||||
\(98\) | −1.35051 | − | 1.85881i | −0.0137807 | − | 0.0189675i | ||||
\(99\) | −8.94485 | − | 1.13691i | −0.0903520 | − | 0.0114840i | ||||
\(100\) | −52.4967 | + | 84.6344i | −0.524967 | + | 0.846344i | ||||
\(101\) | − | 86.4515i | − | 0.855956i | −0.903789 | − | 0.427978i | \(-0.859226\pi\) | ||
0.903789 | − | 0.427978i | \(-0.140774\pi\) | |||||||
\(102\) | 1.00465 | − | 4.48652i | 0.00984949 | − | 0.0439855i | ||||
\(103\) | −15.3781 | + | 47.3289i | −0.149302 | + | 0.459504i | −0.997539 | − | 0.0701123i | \(-0.977664\pi\) |
0.848237 | + | 0.529617i | \(0.177664\pi\) | |||||||
\(104\) | −0.673177 | − | 0.218729i | −0.00647286 | − | 0.00210316i | ||||
\(105\) | −117.759 | + | 34.8214i | −1.12151 | + | 0.331633i | ||||
\(106\) | −1.64634 | − | 5.06690i | −0.0155315 | − | 0.0478009i | ||||
\(107\) | 171.256i | 1.60053i | 0.599648 | + | 0.800264i | \(0.295307\pi\) | ||||
−0.599648 | + | 0.800264i | \(0.704693\pi\) | |||||||
\(108\) | −66.0219 | + | 84.9146i | −0.611314 | + | 0.786246i | ||||
\(109\) | 59.6708 | + | 43.3533i | 0.547438 | + | 0.397737i | 0.826840 | − | 0.562437i | \(-0.190136\pi\) |
−0.279402 | + | 0.960174i | \(0.590136\pi\) | |||||||
\(110\) | 0.579297 | + | 0.268964i | 0.00526633 | + | 0.00244513i | ||||
\(111\) | −0.0210393 | + | 0.0939565i | −0.000189543 | + | 0.000846455i | ||||
\(112\) | −104.679 | − | 76.0541i | −0.934638 | − | 0.679054i | ||||
\(113\) | 13.0962 | − | 18.0253i | 0.115895 | − | 0.159516i | −0.747128 | − | 0.664680i | \(-0.768568\pi\) |
0.863024 | + | 0.505164i | \(0.168568\pi\) | |||||||
\(114\) | −6.40506 | − | 1.43426i | −0.0561847 | − | 0.0125812i | ||||
\(115\) | 177.118 | − | 98.5618i | 1.54016 | − | 0.857059i | ||||
\(116\) | −77.8904 | + | 107.207i | −0.671469 | + | 0.924197i | ||||
\(117\) | −6.14823 | + | 1.16799i | −0.0525490 | + | 0.00998282i | ||||
\(118\) | 14.6438 | 0.124100 | ||||||||
\(119\) | 93.5863 | − | 30.4080i | 0.786440 | − | 0.255530i | ||||
\(120\) | 12.5876 | − | 8.64248i | 0.104896 | − | 0.0720207i | ||||
\(121\) | 37.0809 | − | 114.123i | 0.306454 | − | 0.943167i | ||||
\(122\) | −3.68431 | − | 1.19711i | −0.0301993 | − | 0.00981234i | ||||
\(123\) | 128.879 | + | 28.8594i | 1.04780 | + | 0.234629i | ||||
\(124\) | 170.129 | 1.37201 | ||||||||
\(125\) | 44.2159 | − | 116.919i | 0.353727 | − | 0.935349i | ||||
\(126\) | 9.31916 | + | 1.18449i | 0.0739616 | + | 0.00940071i | ||||
\(127\) | −67.1341 | + | 48.7758i | −0.528615 | + | 0.384061i | −0.819839 | − | 0.572594i | \(-0.805937\pi\) |
0.291225 | + | 0.956655i | \(0.405937\pi\) | |||||||
\(128\) | 30.7279 | + | 9.98408i | 0.240061 | + | 0.0780007i | ||||
\(129\) | 53.6126 | + | 124.021i | 0.415601 | + | 0.961401i | ||||
\(130\) | 0.440073 | + | 0.0532949i | 0.00338518 | + | 0.000409961i | ||||
\(131\) | −33.8077 | + | 10.9848i | −0.258074 | + | 0.0838534i | −0.435197 | − | 0.900335i | \(-0.643321\pi\) |
0.177122 | + | 0.984189i | \(0.443321\pi\) | |||||||
\(132\) | 7.91484 | + | 8.98451i | 0.0599609 | + | 0.0680645i | ||||
\(133\) | −43.4113 | − | 133.606i | −0.326400 | − | 1.00456i | ||||
\(134\) | 5.49044 | − | 7.55694i | 0.0409734 | − | 0.0563951i | ||||
\(135\) | 60.8066 | − | 120.530i | 0.450419 | − | 0.892817i | ||||
\(136\) | −9.89866 | + | 7.19180i | −0.0727843 | + | 0.0528809i | ||||
\(137\) | −44.9650 | + | 61.8890i | −0.328211 | + | 0.451744i | −0.940952 | − | 0.338540i | \(-0.890067\pi\) |
0.612741 | + | 0.790284i | \(0.290067\pi\) | |||||||
\(138\) | −15.4379 | + | 1.45338i | −0.111869 | + | 0.0105318i | ||||
\(139\) | −201.713 | + | 146.553i | −1.45117 | + | 1.05434i | −0.465620 | + | 0.884985i | \(0.654169\pi\) |
−0.985555 | + | 0.169355i | \(0.945831\pi\) | |||||||
\(140\) | 147.903 | + | 68.6703i | 1.05645 | + | 0.490502i | ||||
\(141\) | 10.3025 | + | 109.433i | 0.0730673 | + | 0.776123i | ||||
\(142\) | 2.50556 | + | 7.71132i | 0.0176448 | + | 0.0543050i | ||||
\(143\) | 0.696654i | 0.00487171i | ||||||||
\(144\) | 139.747 | − | 26.5480i | 0.970468 | − | 0.184361i | ||||
\(145\) | 70.0401 | − | 150.853i | 0.483035 | − | 1.04037i | ||||
\(146\) | 13.0249 | + | 4.23203i | 0.0892113 | + | 0.0289865i | ||||
\(147\) | 21.4516 | + | 49.6235i | 0.145929 | + | 0.337575i | ||||
\(148\) | 0.103438 | − | 0.0751519i | 0.000698903 | − | 0.000507783i | ||||
\(149\) | 189.493i | 1.27176i | 0.771786 | + | 0.635882i | \(0.219364\pi\) | ||||
−0.771786 | + | 0.635882i | \(0.780636\pi\) | |||||||
\(150\) | −6.69436 | + | 6.82839i | −0.0446291 | + | 0.0455226i | ||||
\(151\) | 179.251 | 1.18709 | 0.593545 | − | 0.804801i | \(-0.297728\pi\) | ||||
0.593545 | + | 0.804801i | \(0.297728\pi\) | |||||||
\(152\) | 10.2672 | + | 14.1316i | 0.0675473 | + | 0.0929708i | ||||
\(153\) | −46.1350 | + | 97.8486i | −0.301536 | + | 0.639533i | ||||
\(154\) | 0.323152 | − | 0.994560i | 0.00209839 | − | 0.00645818i | ||||
\(155\) | −209.538 | + | 41.0902i | −1.35186 | + | 0.265098i | ||||
\(156\) | 7.15145 | + | 4.23303i | 0.0458427 | + | 0.0271348i | ||||
\(157\) | −9.40173 | −0.0598837 | −0.0299418 | − | 0.999552i | \(-0.509532\pi\) | ||||
−0.0299418 | + | 0.999552i | \(0.509532\pi\) | |||||||
\(158\) | −3.06456 | + | 0.995735i | −0.0193959 | + | 0.00630212i | ||||
\(159\) | 11.7496 | + | 124.805i | 0.0738969 | + | 0.784935i | ||||
\(160\) | −30.2136 | − | 3.65901i | −0.188835 | − | 0.0228688i | ||||
\(161\) | −195.072 | − | 268.494i | −1.21163 | − | 1.66766i | ||||
\(162\) | −7.96749 | + | 6.57088i | −0.0491820 | + | 0.0405610i | ||||
\(163\) | 101.591 | + | 73.8101i | 0.623257 | + | 0.452823i | 0.854058 | − | 0.520178i | \(-0.174135\pi\) |
−0.230801 | + | 0.973001i | \(0.574135\pi\) | |||||||
\(164\) | −103.085 | − | 141.884i | −0.628568 | − | 0.865149i | ||||
\(165\) | −11.9182 | − | 9.15409i | −0.0722317 | − | 0.0554793i | ||||
\(166\) | −10.7194 | − | 7.78809i | −0.0645747 | − | 0.0469162i | ||||
\(167\) | 82.5935 | − | 26.8363i | 0.494572 | − | 0.160696i | −0.0511026 | − | 0.998693i | \(-0.516274\pi\) |
0.545674 | + | 0.837997i | \(0.316274\pi\) | |||||||
\(168\) | −16.5257 | − | 18.7592i | −0.0983675 | − | 0.111662i | ||||
\(169\) | −52.0745 | − | 160.269i | −0.308133 | − | 0.948335i | ||||
\(170\) | 5.21667 | − | 5.61279i | 0.0306863 | − | 0.0330164i | ||||
\(171\) | 139.691 | + | 65.8635i | 0.816906 | + | 0.385167i | ||||
\(172\) | 55.4433 | − | 170.637i | 0.322345 | − | 0.992075i | ||||
\(173\) | 118.104 | + | 162.556i | 0.682680 | + | 0.939628i | 0.999962 | − | 0.00870293i | \(-0.00277026\pi\) |
−0.317282 | + | 0.948331i | \(0.602770\pi\) | |||||||
\(174\) | −9.54720 | + | 8.41054i | −0.0548690 | + | 0.0483364i | ||||
\(175\) | −198.749 | − | 48.8553i | −1.13571 | − | 0.279173i | ||||
\(176\) | − | 15.8347i | − | 0.0899700i | ||||||
\(177\) | −336.234 | − | 75.2916i | −1.89963 | − | 0.425376i | ||||
\(178\) | −2.95416 | + | 9.09198i | −0.0165964 | + | 0.0510785i | ||||
\(179\) | 21.5339 | + | 6.99678i | 0.120301 | + | 0.0390882i | 0.368549 | − | 0.929608i | \(-0.379855\pi\) |
−0.248248 | + | 0.968697i | \(0.579855\pi\) | |||||||
\(180\) | −166.389 | + | 66.7234i | −0.924381 | + | 0.370685i | ||||
\(181\) | −17.9218 | − | 55.1576i | −0.0990155 | − | 0.304738i | 0.889264 | − | 0.457395i | \(-0.151217\pi\) |
−0.988279 | + | 0.152656i | \(0.951217\pi\) | |||||||
\(182\) | − | 0.725806i | − | 0.00398795i | ||||||
\(183\) | 78.4398 | + | 46.4295i | 0.428633 | + | 0.253713i | ||||
\(184\) | 33.3847 | + | 24.2554i | 0.181439 | + | 0.131823i | ||||
\(185\) | −0.109247 | + | 0.117543i | −0.000590526 | + | 0.000635367i | ||||
\(186\) | 15.9402 | + | 3.56943i | 0.0857002 | + | 0.0191905i | ||||
\(187\) | 9.74250 | + | 7.07834i | 0.0520989 | + | 0.0378521i | ||||
\(188\) | 85.7936 | − | 118.085i | 0.456349 | − | 0.628110i | ||||
\(189\) | −207.885 | − | 75.1115i | −1.09992 | − | 0.397415i | ||||
\(190\) | −8.01296 | − | 7.44744i | −0.0421735 | − | 0.0391971i | ||||
\(191\) | 104.861 | − | 144.328i | 0.549009 | − | 0.755646i | −0.440869 | − | 0.897572i | \(-0.645329\pi\) |
0.989877 | + | 0.141926i | \(0.0453295\pi\) | |||||||
\(192\) | −161.210 | − | 95.4221i | −0.839635 | − | 0.496990i | ||||
\(193\) | −149.794 | −0.776135 | −0.388068 | − | 0.921631i | \(-0.626857\pi\) | ||||
−0.388068 | + | 0.921631i | \(0.626857\pi\) | |||||||
\(194\) | −9.99578 | + | 3.24783i | −0.0515246 | + | 0.0167414i | ||||
\(195\) | −9.83042 | − | 3.48634i | −0.0504124 | − | 0.0178787i | ||||
\(196\) | 22.1841 | − | 68.2757i | 0.113184 | − | 0.348345i | ||||
\(197\) | 239.749 | + | 77.8991i | 1.21700 | + | 0.395427i | 0.845988 | − | 0.533202i | \(-0.179011\pi\) |
0.371011 | + | 0.928629i | \(0.379011\pi\) | |||||||
\(198\) | 0.553078 | + | 1.00786i | 0.00279332 | + | 0.00509021i | ||||
\(199\) | 15.7757 | 0.0792750 | 0.0396375 | − | 0.999214i | \(-0.487380\pi\) | ||||
0.0396375 | + | 0.999214i | \(0.487380\pi\) | |||||||
\(200\) | 25.3802 | − | 1.85921i | 0.126901 | − | 0.00929605i | ||||
\(201\) | −164.919 | + | 145.284i | −0.820493 | + | 0.722807i | ||||
\(202\) | −8.91744 | + | 6.47890i | −0.0441458 | + | 0.0320738i | ||||
\(203\) | −258.991 | − | 84.1511i | −1.27582 | − | 0.414538i | ||||
\(204\) | 131.860 | − | 57.0013i | 0.646372 | − | 0.279418i | ||||
\(205\) | 161.232 | + | 149.854i | 0.786500 | + | 0.730993i | ||||
\(206\) | 6.03444 | − | 1.96071i | 0.0292934 | − | 0.00951800i | ||||
\(207\) | 361.939 | + | 46.0034i | 1.74850 | + | 0.222239i | ||||
\(208\) | −3.39616 | − | 10.4523i | −0.0163277 | − | 0.0502515i | ||||
\(209\) | 10.1052 | − | 13.9086i | 0.0483503 | − | 0.0665484i | ||||
\(210\) | 12.4170 | + | 9.53715i | 0.0591284 | + | 0.0454150i | ||||
\(211\) | −279.131 | + | 202.801i | −1.32290 | + | 0.961140i | −0.323004 | + | 0.946397i | \(0.604693\pi\) |
−0.999891 | + | 0.0147425i | \(0.995307\pi\) | |||||||
\(212\) | 97.8444 | − | 134.671i | 0.461530 | − | 0.635242i | ||||
\(213\) | −17.8817 | − | 189.940i | −0.0839518 | − | 0.891739i | ||||
\(214\) | 17.6650 | − | 12.8344i | 0.0825469 | − | 0.0599739i | ||||
\(215\) | −27.0735 | + | 223.555i | −0.125923 | + | 1.03979i | ||||
\(216\) | 27.4695 | + | 0.894654i | 0.127173 | + | 0.00414191i | ||||
\(217\) | 108.037 | + | 332.505i | 0.497868 | + | 1.53228i | ||||
\(218\) | − | 9.40403i | − | 0.0431378i | ||||||
\(219\) | −277.302 | − | 164.138i | −1.26622 | − | 0.749490i | ||||
\(220\) | 3.84019 | + | 19.5830i | 0.0174554 | + | 0.0890134i | ||||
\(221\) | 7.94904 | + | 2.58280i | 0.0359685 | + | 0.0116869i | ||||
\(222\) | 0.0112683 | − | 0.00487115i | 5.07582e−5 | − | 2.19421e-5i | ||||
\(223\) | 71.5176 | − | 51.9606i | 0.320707 | − | 0.233007i | −0.415770 | − | 0.909470i | \(-0.636488\pi\) |
0.736477 | + | 0.676463i | \(0.236488\pi\) | |||||||
\(224\) | 49.8308i | 0.222459i | ||||||||
\(225\) | 188.816 | − | 122.366i | 0.839183 | − | 0.543850i | ||||
\(226\) | −2.84077 | −0.0125698 | ||||||||
\(227\) | −138.027 | − | 189.977i | −0.608047 | − | 0.836905i | 0.388368 | − | 0.921504i | \(-0.373039\pi\) |
−0.996415 | + | 0.0845996i | \(0.973039\pi\) | |||||||
\(228\) | −81.3764 | − | 188.246i | −0.356914 | − | 0.825642i | ||||
\(229\) | 57.0810 | − | 175.677i | 0.249262 | − | 0.767150i | −0.745644 | − | 0.666344i | \(-0.767858\pi\) |
0.994906 | − | 0.100805i | \(-0.0321419\pi\) | |||||||
\(230\) | −23.4403 | − | 10.8832i | −0.101914 | − | 0.0473182i | ||||
\(231\) | −12.5334 | + | 21.1744i | −0.0542571 | + | 0.0916641i | ||||
\(232\) | 33.8603 | 0.145949 | ||||||||
\(233\) | −267.662 | + | 86.9687i | −1.14876 | + | 0.373256i | −0.820678 | − | 0.571391i | \(-0.806404\pi\) |
−0.328087 | + | 0.944647i | \(0.606404\pi\) | |||||||
\(234\) | 0.581242 | + | 0.546656i | 0.00248394 | + | 0.00233614i | ||||
\(235\) | −77.1468 | + | 166.159i | −0.328284 | + | 0.707061i | ||||
\(236\) | 268.940 | + | 370.164i | 1.13958 | + | 1.56849i | ||||
\(237\) | 75.4843 | − | 7.10639i | 0.318499 | − | 0.0299848i | ||||
\(238\) | −10.1502 | − | 7.37454i | −0.0426478 | − | 0.0309855i | ||||
\(239\) | −113.345 | − | 156.006i | −0.474247 | − | 0.652745i | 0.503140 | − | 0.864205i | \(-0.332178\pi\) |
−0.977387 | + | 0.211460i | \(0.932178\pi\) | |||||||
\(240\) | 223.442 | + | 79.2434i | 0.931009 | + | 0.330181i | ||||
\(241\) | −76.8811 | − | 55.8574i | −0.319009 | − | 0.231774i | 0.416744 | − | 0.909024i | \(-0.363171\pi\) |
−0.735752 | + | 0.677251i | \(0.763171\pi\) | |||||||
\(242\) | −14.5507 | + | 4.72781i | −0.0601269 | + | 0.0195364i | ||||
\(243\) | 216.724 | − | 109.908i | 0.891869 | − | 0.452294i | ||||
\(244\) | −37.4036 | − | 115.117i | −0.153294 | − | 0.471789i | ||||
\(245\) | −10.8327 | + | 89.4492i | −0.0442151 | + | 0.365099i | ||||
\(246\) | −6.68171 | − | 15.4566i | −0.0271614 | − | 0.0628319i | ||||
\(247\) | 3.68727 | − | 11.3482i | 0.0149282 | − | 0.0459443i | ||||
\(248\) | −25.5519 | − | 35.1691i | −0.103032 | − | 0.141811i | ||||
\(249\) | 206.083 | + | 233.935i | 0.827643 | + | 0.939497i | ||||
\(250\) | −15.3738 | + | 4.20133i | −0.0614951 | + | 0.0168053i | ||||
\(251\) | 242.509i | 0.966171i | 0.875573 | + | 0.483085i | \(0.160484\pi\) | ||||
−0.875573 | + | 0.483085i | \(0.839516\pi\) | |||||||
\(252\) | 141.209 | + | 257.321i | 0.560352 | + | 1.02112i | ||||
\(253\) | 12.5506 | − | 38.6269i | 0.0496073 | − | 0.152676i | ||||
\(254\) | 10.0624 | + | 3.26947i | 0.0396158 | + | 0.0128719i | ||||
\(255\) | −148.637 | + | 102.053i | −0.582891 | + | 0.400206i | ||||
\(256\) | 75.9129 | + | 233.636i | 0.296535 | + | 0.912640i | ||||
\(257\) | 54.2631i | 0.211140i | 0.994412 | + | 0.105570i | \(0.0336668\pi\) | ||||
−0.994412 | + | 0.105570i | \(0.966333\pi\) | |||||||
\(258\) | 8.77484 | − | 14.8246i | 0.0340110 | − | 0.0574595i | ||||
\(259\) | 0.212565 | + | 0.154437i | 0.000820714 | + | 0.000596283i | ||||
\(260\) | 6.73494 | + | 12.1029i | 0.0259036 | + | 0.0465494i | ||||
\(261\) | 262.454 | − | 144.025i | 1.00557 | − | 0.551822i | ||||
\(262\) | 3.66671 | + | 2.66402i | 0.0139951 | + | 0.0101680i | ||||
\(263\) | −0.445193 | + | 0.612755i | −0.00169275 | + | 0.00232987i | −0.809863 | − | 0.586620i | \(-0.800458\pi\) |
0.808170 | + | 0.588950i | \(0.200458\pi\) | |||||||
\(264\) | 0.668542 | − | 2.98555i | 0.00253236 | − | 0.0113089i | ||||
\(265\) | −87.9831 | + | 189.499i | −0.332012 | + | 0.715089i | ||||
\(266\) | −10.5281 | + | 14.4906i | −0.0395792 | + | 0.0544761i | ||||
\(267\) | 114.577 | − | 193.570i | 0.429126 | − | 0.724982i | ||||
\(268\) | 291.857 | 1.08902 | ||||||||
\(269\) | 138.978 | − | 45.1567i | 0.516647 | − | 0.167869i | −0.0390762 | − | 0.999236i | \(-0.512442\pi\) |
0.555723 | + | 0.831368i | \(0.312442\pi\) | |||||||
\(270\) | −16.9897 | + | 2.76068i | −0.0629247 | + | 0.0102248i | ||||
\(271\) | −77.5376 | + | 238.636i | −0.286116 | + | 0.880576i | 0.699945 | + | 0.714196i | \(0.253208\pi\) |
−0.986062 | + | 0.166380i | \(0.946792\pi\) | |||||||
\(272\) | −180.679 | − | 58.7062i | −0.664262 | − | 0.215832i | ||||
\(273\) | −3.73175 | + | 16.6651i | −0.0136694 | + | 0.0610443i | ||||
\(274\) | 9.75362 | 0.0355971 | ||||||||
\(275\) | −9.45949 | − | 23.1917i | −0.0343982 | − | 0.0843335i | ||||
\(276\) | −320.261 | − | 363.544i | −1.16037 | − | 1.31719i | ||||
\(277\) | 283.138 | − | 205.712i | 1.02216 | − | 0.742642i | 0.0554344 | − | 0.998462i | \(-0.482346\pi\) |
0.966724 | + | 0.255821i | \(0.0823456\pi\) | |||||||
\(278\) | 30.2338 | + | 9.82357i | 0.108755 | + | 0.0353366i | ||||
\(279\) | −347.648 | − | 163.914i | −1.24605 | − | 0.587506i | ||||
\(280\) | −8.01811 | − | 40.8881i | −0.0286361 | − | 0.146029i | ||||
\(281\) | 265.260 | − | 86.1882i | 0.943986 | − | 0.306720i | 0.203717 | − | 0.979030i | \(-0.434698\pi\) |
0.740270 | + | 0.672310i | \(0.234698\pi\) | |||||||
\(282\) | 10.5159 | − | 9.26392i | 0.0372905 | − | 0.0328508i | ||||
\(283\) | 21.3423 | + | 65.6850i | 0.0754146 | + | 0.232102i | 0.981657 | − | 0.190657i | \(-0.0610617\pi\) |
−0.906242 | + | 0.422759i | \(0.861062\pi\) | |||||||
\(284\) | −148.909 | + | 204.956i | −0.524329 | + | 0.721677i | ||||
\(285\) | 145.693 | + | 212.198i | 0.511202 | + | 0.744554i | ||||
\(286\) | 0.0718596 | − | 0.0522091i | 0.000251257 | − | 0.000182549i | ||||
\(287\) | 211.840 | − | 291.573i | 0.738119 | − | 1.01593i | ||||
\(288\) | −39.9057 | − | 37.5311i | −0.138561 | − | 0.130316i | ||||
\(289\) | −116.920 | + | 84.9474i | −0.404568 | + | 0.293936i | ||||
\(290\) | −20.8094 | + | 4.08070i | −0.0717566 | + | 0.0140714i | ||||
\(291\) | 246.210 | − | 23.1792i | 0.846082 | − | 0.0796535i | ||||
\(292\) | 132.230 | + | 406.962i | 0.452843 | + | 1.39371i | ||||
\(293\) | − | 108.418i | − | 0.370028i | −0.982736 | − | 0.185014i | \(-0.940767\pi\) | ||
0.982736 | − | 0.185014i | \(-0.0592330\pi\) | |||||||
\(294\) | 3.51101 | − | 5.93164i | 0.0119422 | − | 0.0201756i | ||||
\(295\) | −420.641 | − | 390.954i | −1.42590 | − | 1.32527i | ||||
\(296\) | −0.0310708 | − | 0.0100955i | −0.000104969 | − | 3.41065e-5i | ||||
\(297\) | −7.51717 | − | 25.9850i | −0.0253103 | − | 0.0874915i | ||||
\(298\) | 19.5461 | − | 14.2011i | 0.0655910 | − | 0.0476547i | ||||
\(299\) | − | 28.1890i | − | 0.0942775i | ||||||
\(300\) | −295.551 | − | 43.8125i | −0.985170 | − | 0.146042i | ||||
\(301\) | 368.705 | 1.22493 | ||||||||
\(302\) | −13.4335 | − | 18.4896i | −0.0444818 | − | 0.0612240i | ||||
\(303\) | 238.063 | − | 102.912i | 0.785687 | − | 0.339642i | ||||
\(304\) | −83.8104 | + | 257.942i | −0.275692 | + | 0.848493i | ||||
\(305\) | 73.8713 | + | 132.749i | 0.242201 | + | 0.435241i | ||||
\(306\) | 13.5505 | − | 2.57421i | 0.0442828 | − | 0.00841247i | ||||
\(307\) | −408.372 | −1.33020 | −0.665101 | − | 0.746754i | \(-0.731611\pi\) | ||||
−0.665101 | + | 0.746754i | \(0.731611\pi\) | |||||||
\(308\) | 31.0751 | − | 10.0969i | 0.100893 | − | 0.0327822i | ||||
\(309\) | −148.637 | + | 13.9932i | −0.481024 | + | 0.0452855i | ||||
\(310\) | 19.9418 | + | 18.5344i | 0.0643284 | + | 0.0597884i | ||||
\(311\) | 151.641 | + | 208.715i | 0.487590 | + | 0.671110i | 0.979941 | − | 0.199286i | \(-0.0638624\pi\) |
−0.492351 | + | 0.870397i | \(0.663862\pi\) | |||||||
\(312\) | −0.199031 | − | 2.11411i | −0.000637920 | − | 0.00677601i | ||||
\(313\) | 13.0347 | + | 9.47029i | 0.0416445 | + | 0.0302565i | 0.608413 | − | 0.793621i | \(-0.291807\pi\) |
−0.566768 | + | 0.823877i | \(0.691807\pi\) | |||||||
\(314\) | 0.704590 | + | 0.969786i | 0.00224392 | + | 0.00308849i | ||||
\(315\) | −236.068 | − | 282.823i | −0.749421 | − | 0.897850i | ||||
\(316\) | −81.4518 | − | 59.1782i | −0.257759 | − | 0.187273i | ||||
\(317\) | −137.656 | + | 44.7271i | −0.434246 | + | 0.141095i | −0.517979 | − | 0.855393i | \(-0.673316\pi\) |
0.0837333 | + | 0.996488i | \(0.473316\pi\) | |||||||
\(318\) | 11.9930 | − | 10.5652i | 0.0377139 | − | 0.0332238i | ||||
\(319\) | −10.2983 | − | 31.6950i | −0.0322831 | − | 0.0993573i | ||||
\(320\) | −151.821 | − | 272.826i | −0.474440 | − | 0.852581i | ||||
\(321\) | −471.592 | + | 203.863i | −1.46913 | + | 0.635087i | ||||
\(322\) | −13.0758 | + | 40.2433i | −0.0406082 | + | 0.124979i | ||||
\(323\) | −121.237 | − | 166.869i | −0.375348 | − | 0.516622i | ||||
\(324\) | −312.423 | − | 80.7237i | −0.964269 | − | 0.249147i | ||||
\(325\) | −11.2182 | − | 13.2798i | −0.0345174 | − | 0.0408608i | ||||
\(326\) | − | 16.0106i | − | 0.0491122i | ||||||
\(327\) | −48.3510 | + | 215.924i | −0.147862 | + | 0.660318i | ||||
\(328\) | −13.8479 | + | 42.6195i | −0.0422193 | + | 0.129938i | ||||
\(329\) | 285.269 | + | 92.6896i | 0.867080 | + | 0.281731i | ||||
\(330\) | −0.0510582 | + | 1.91539i | −0.000154722 | + | 0.00580422i | ||||
\(331\) | −10.1144 | − | 31.1289i | −0.0305571 | − | 0.0940451i | 0.934615 | − | 0.355662i | \(-0.115744\pi\) |
−0.965172 | + | 0.261616i | \(0.915744\pi\) | |||||||
\(332\) | − | 413.994i | − | 1.24697i | ||||||
\(333\) | −0.283775 | + | 0.0539091i | −0.000852176 | + | 0.000161889i | ||||
\(334\) | −8.95792 | − | 6.50831i | −0.0268201 | − | 0.0194860i | ||||
\(335\) | −359.463 | + | 70.4903i | −1.07302 | + | 0.210419i | ||||
\(336\) | 84.8214 | − | 378.792i | 0.252445 | − | 1.12736i | ||||
\(337\) | −186.453 | − | 135.466i | −0.553272 | − | 0.401976i | 0.275718 | − | 0.961238i | \(-0.411084\pi\) |
−0.828990 | + | 0.559263i | \(0.811084\pi\) | |||||||
\(338\) | −12.6291 | + | 17.3824i | −0.0373641 | + | 0.0514273i | ||||
\(339\) | 65.2263 | + | 14.6059i | 0.192408 | + | 0.0430851i | ||||
\(340\) | 237.685 | + | 28.7848i | 0.699074 | + | 0.0846610i | ||||
\(341\) | −25.1488 | + | 34.6143i | −0.0737501 | + | 0.101508i | ||||
\(342\) | −3.67501 | − | 19.3451i | −0.0107456 | − | 0.0565645i | ||||
\(343\) | −253.617 | −0.739407 | ||||||||
\(344\) | −43.6012 | + | 14.1669i | −0.126748 | + | 0.0411828i | ||||
\(345\) | 482.252 | + | 370.406i | 1.39783 | + | 1.07364i | ||||
\(346\) | 7.91657 | − | 24.3647i | 0.0228803 | − | 0.0704182i | ||||
\(347\) | −59.9420 | − | 19.4763i | −0.172744 | − | 0.0561278i | 0.221368 | − | 0.975190i | \(-0.428948\pi\) |
−0.394112 | + | 0.919062i | \(0.628948\pi\) | |||||||
\(348\) | −387.938 | − | 86.8694i | −1.11476 | − | 0.249625i | ||||
\(349\) | −54.2580 | −0.155467 | −0.0777335 | − | 0.996974i | \(-0.524768\pi\) | ||||
−0.0777335 | + | 0.996974i | \(0.524768\pi\) | |||||||
\(350\) | 9.85533 | + | 24.1622i | 0.0281581 | + | 0.0690348i | ||||
\(351\) | −10.5351 | − | 15.5401i | −0.0300147 | − | 0.0442739i | ||||
\(352\) | −4.93358 | + | 3.58446i | −0.0140159 | + | 0.0101831i | ||||
\(353\) | 95.0073 | + | 30.8697i | 0.269142 | + | 0.0874497i | 0.440479 | − | 0.897763i | \(-0.354809\pi\) |
−0.171337 | + | 0.985213i | \(0.554809\pi\) | |||||||
\(354\) | 17.4320 | + | 40.3250i | 0.0492429 | + | 0.113912i | ||||
\(355\) | 133.901 | − | 288.398i | 0.377187 | − | 0.812389i | ||||
\(356\) | −284.079 | + | 92.3030i | −0.797976 | + | 0.259278i | ||||
\(357\) | 195.140 | + | 221.513i | 0.546610 | + | 0.620484i | ||||
\(358\) | −0.892090 | − | 2.74557i | −0.00249187 | − | 0.00766919i | ||||
\(359\) | 207.072 | − | 285.011i | 0.576803 | − | 0.793901i | −0.416537 | − | 0.909119i | \(-0.636756\pi\) |
0.993340 | + | 0.115217i | \(0.0367564\pi\) | |||||||
\(360\) | 38.7831 | + | 24.3746i | 0.107731 | + | 0.0677073i | ||||
\(361\) | 53.8290 | − | 39.1090i | 0.149111 | − | 0.108335i | ||||
\(362\) | −4.34638 | + | 5.98228i | −0.0120066 | + | 0.0165256i | ||||
\(363\) | 358.404 | − | 33.7416i | 0.987339 | − | 0.0929519i | ||||
\(364\) | 18.3468 | − | 13.3297i | 0.0504032 | − | 0.0366201i | ||||
\(365\) | −261.151 | − | 469.296i | −0.715483 | − | 1.28574i | ||||
\(366\) | −1.08930 | − | 11.5706i | −0.00297623 | − | 0.0316136i | ||||
\(367\) | −27.9042 | − | 85.8802i | −0.0760332 | − | 0.234006i | 0.905815 | − | 0.423673i | \(-0.139259\pi\) |
−0.981849 | + | 0.189667i | \(0.939259\pi\) | |||||||
\(368\) | 640.727i | 1.74110i | ||||||||
\(369\) | 73.9466 | + | 389.251i | 0.200397 | + | 1.05488i | ||||
\(370\) | 0.0203118 | + | 0.00245985i | 5.48967e−5 | + | 6.64825e-6i | ||||
\(371\) | 325.339 | + | 105.709i | 0.876925 | + | 0.284930i | ||||
\(372\) | 202.521 | + | 468.488i | 0.544411 | + | 1.25938i | ||||
\(373\) | 249.418 | − | 181.213i | 0.668681 | − | 0.485825i | −0.200903 | − | 0.979611i | \(-0.564387\pi\) |
0.869583 | + | 0.493786i | \(0.164387\pi\) | |||||||
\(374\) | − | 1.53540i | − | 0.00410536i | ||||||
\(375\) | 374.595 | − | 17.4213i | 0.998920 | − | 0.0464567i | ||||
\(376\) | −37.2959 | −0.0991913 | ||||||||
\(377\) | −13.5956 | − | 18.7128i | −0.0360626 | − | 0.0496360i | ||||
\(378\) | 7.83174 | + | 27.0723i | 0.0207189 | + | 0.0716199i | ||||
\(379\) | 41.3784 | − | 127.350i | 0.109178 | − | 0.336015i | −0.881510 | − | 0.472165i | \(-0.843473\pi\) |
0.990688 | + | 0.136149i | \(0.0434727\pi\) | |||||||
\(380\) | 41.0938 | − | 339.325i | 0.108142 | − | 0.892960i | ||||
\(381\) | −214.231 | − | 126.806i | −0.562286 | − | 0.332824i | ||||
\(382\) | −22.7460 | −0.0595444 | ||||||||
\(383\) | 121.960 | − | 39.6273i | 0.318434 | − | 0.103466i | −0.145439 | − | 0.989367i | \(-0.546459\pi\) |
0.463873 | + | 0.885902i | \(0.346459\pi\) | |||||||
\(384\) | 9.08497 | + | 96.5008i | 0.0236588 | + | 0.251304i | ||||
\(385\) | −35.8348 | + | 19.9412i | −0.0930773 | + | 0.0517952i | ||||
\(386\) | 11.2260 | + | 15.4512i | 0.0290828 | + | 0.0400290i | ||||
\(387\) | −277.698 | + | 295.268i | −0.717566 | + | 0.762966i | ||||
\(388\) | −265.674 | − | 193.024i | −0.684727 | − | 0.497483i | ||||
\(389\) | 300.719 | + | 413.904i | 0.773055 | + | 1.06402i | 0.996014 | + | 0.0891917i | \(0.0284284\pi\) |
−0.222959 | + | 0.974828i | \(0.571572\pi\) | |||||||
\(390\) | 0.377102 | + | 1.27528i | 0.000966929 | + | 0.00326995i | ||||
\(391\) | −394.215 | − | 286.414i | −1.00822 | − | 0.732516i | ||||
\(392\) | −17.4458 | + | 5.66849i | −0.0445046 | + | 0.0144604i | ||||
\(393\) | −70.4936 | − | 80.0206i | −0.179373 | − | 0.203615i | ||||
\(394\) | −9.93213 | − | 30.5680i | −0.0252085 | − | 0.0775837i | ||||
\(395\) | 114.612 | + | 53.2138i | 0.290158 | + | 0.134719i | ||||
\(396\) | −15.3190 | + | 32.4904i | −0.0386844 | + | 0.0820463i | ||||
\(397\) | 192.511 | − | 592.487i | 0.484914 | − | 1.49241i | −0.347192 | − | 0.937794i | \(-0.612865\pi\) |
0.832106 | − | 0.554617i | \(-0.187135\pi\) | |||||||
\(398\) | −1.18227 | − | 1.62726i | −0.00297054 | − | 0.00408859i | ||||
\(399\) | 316.237 | − | 278.586i | 0.792573 | − | 0.698212i | ||||
\(400\) | 254.985 | + | 301.844i | 0.637463 | + | 0.754611i | ||||
\(401\) | 157.706i | 0.393282i | 0.980476 | + | 0.196641i | \(0.0630034\pi\) | ||||
−0.980476 | + | 0.196641i | \(0.936997\pi\) | |||||||
\(402\) | 27.3455 | + | 6.12337i | 0.0680236 | + | 0.0152323i | ||||
\(403\) | −9.17648 | + | 28.2423i | −0.0227704 | + | 0.0700802i | ||||
\(404\) | −327.545 | − | 106.426i | −0.810754 | − | 0.263430i | ||||
\(405\) | 404.290 | + | 23.9652i | 0.998248 | + | 0.0591734i | ||||
\(406\) | 10.7293 | + | 33.0213i | 0.0264268 | + | 0.0813332i | ||||
\(407\) | 0.0321544i | 7.90034e-5i | ||||||||
\(408\) | −31.5875 | − | 18.6970i | −0.0774204 | − | 0.0458260i | ||||
\(409\) | 295.631 | + | 214.789i | 0.722815 | + | 0.525156i | 0.887282 | − | 0.461227i | \(-0.152590\pi\) |
−0.164467 | + | 0.986383i | \(0.552590\pi\) | |||||||
\(410\) | 3.37415 | − | 27.8615i | 0.00822965 | − | 0.0679549i | ||||
\(411\) | −223.951 | − | 50.1484i | −0.544893 | − | 0.122016i | ||||
\(412\) | 160.387 | + | 116.528i | 0.389289 | + | 0.282835i | ||||
\(413\) | −552.672 | + | 760.688i | −1.33819 | + | 1.84186i | ||||
\(414\) | −22.3794 | − | 40.7815i | −0.0540566 | − | 0.0985061i | ||||
\(415\) | 99.9893 | + | 509.892i | 0.240938 | + | 1.22866i | ||||
\(416\) | −2.48782 | + | 3.42419i | −0.00598034 | + | 0.00823123i | ||||
\(417\) | −643.685 | − | 381.005i | −1.54361 | − | 0.913681i | ||||
\(418\) | −2.19198 | −0.00524397 | ||||||||
\(419\) | 480.757 | − | 156.207i | 1.14739 | − | 0.372810i | 0.327231 | − | 0.944944i | \(-0.393885\pi\) |
0.820160 | + | 0.572135i | \(0.193885\pi\) | |||||||
\(420\) | −13.0359 | + | 489.027i | −0.0310378 | + | 1.16435i | ||||
\(421\) | 137.305 | − | 422.580i | 0.326139 | − | 1.00375i | −0.644785 | − | 0.764364i | \(-0.723053\pi\) |
0.970924 | − | 0.239389i | \(-0.0769471\pi\) | |||||||
\(422\) | 41.8376 | + | 13.5939i | 0.0991413 | + | 0.0322129i | ||||
\(423\) | −289.085 | + | 158.639i | −0.683415 | + | 0.375033i | ||||
\(424\) | −42.5346 | −0.100318 | ||||||||
\(425\) | −299.695 | + | 21.9540i | −0.705165 | + | 0.0516565i | ||||
\(426\) | −18.2522 | + | 16.0791i | −0.0428455 | + | 0.0377444i | ||||
\(427\) | 201.234 | − | 146.205i | 0.471274 | − | 0.342401i | ||||
\(428\) | 648.851 | + | 210.824i | 1.51601 | + | 0.492580i | ||||
\(429\) | −1.91839 | + | 0.829294i | −0.00447177 | + | 0.00193309i | ||||
\(430\) | 25.0885 | − | 13.9611i | 0.0583454 | − | 0.0324678i | ||||
\(431\) | −140.064 | + | 45.5096i | −0.324975 | + | 0.105591i | −0.466961 | − | 0.884278i | \(-0.654651\pi\) |
0.141986 | + | 0.989869i | \(0.454651\pi\) | |||||||
\(432\) | 239.460 | + | 353.222i | 0.554307 | + | 0.817644i | ||||
\(433\) | 97.5543 | + | 300.241i | 0.225299 | + | 0.693398i | 0.998261 | + | 0.0589462i | \(0.0187740\pi\) |
−0.772963 | + | 0.634452i | \(0.781226\pi\) | |||||||
\(434\) | 26.2011 | − | 36.0628i | 0.0603713 | − | 0.0830940i | ||||
\(435\) | 498.782 | + | 13.2959i | 1.14662 | + | 0.0305653i | ||||
\(436\) | 237.713 | − | 172.709i | 0.545213 | − | 0.396121i | ||||
\(437\) | −408.891 | + | 562.790i | −0.935677 | + | 1.28785i | ||||
\(438\) | 3.85092 | + | 40.9046i | 0.00879204 | + | 0.0933894i | ||||
\(439\) | 630.308 | − | 457.946i | 1.43578 | − | 1.04316i | 0.446878 | − | 0.894595i | \(-0.352536\pi\) |
0.988903 | − | 0.148561i | \(-0.0474642\pi\) | |||||||
\(440\) | 3.47143 | − | 3.73503i | 0.00788961 | − | 0.00848870i | ||||
\(441\) | −111.113 | + | 118.143i | −0.251957 | + | 0.267899i | ||||
\(442\) | −0.329307 | − | 1.01350i | −0.000745039 | − | 0.00229299i | ||||
\(443\) | − | 211.073i | − | 0.476464i | −0.971208 | − | 0.238232i | \(-0.923432\pi\) | ||
0.971208 | − | 0.238232i | \(-0.0765678\pi\) | |||||||
\(444\) | 0.330079 | + | 0.195378i | 0.000743421 | + | 0.000440040i | ||||
\(445\) | 327.591 | − | 182.296i | 0.736160 | − | 0.409654i | ||||
\(446\) | −10.7194 | − | 3.48295i | −0.0240346 | − | 0.00780931i | ||||
\(447\) | −521.810 | + | 225.572i | −1.16736 | + | 0.504634i | ||||
\(448\) | −413.578 | + | 300.482i | −0.923164 | + | 0.670718i | ||||
\(449\) | − | 750.379i | − | 1.67122i | −0.549322 | − | 0.835611i | \(-0.685114\pi\) | ||
0.549322 | − | 0.835611i | \(-0.314886\pi\) | |||||||
\(450\) | −26.7724 | − | 10.3059i | −0.0594942 | − | 0.0229019i | ||||
\(451\) | 44.1059 | 0.0977957 | ||||||||
\(452\) | −52.1718 | − | 71.8083i | −0.115424 | − | 0.158868i | ||||
\(453\) | 213.379 | + | 493.606i | 0.471036 | + | 1.08964i | ||||
\(454\) | −9.25202 | + | 28.4748i | −0.0203789 | + | 0.0627198i | ||||
\(455\) | −19.3772 | + | 20.8486i | −0.0425873 | + | 0.0458211i | ||||
\(456\) | −26.6923 | + | 45.0951i | −0.0585358 | + | 0.0988927i | ||||
\(457\) | −787.437 | −1.72306 | −0.861529 | − | 0.507709i | \(-0.830492\pi\) | ||||
−0.861529 | + | 0.507709i | \(0.830492\pi\) | |||||||
\(458\) | −22.3989 | + | 7.27783i | −0.0489058 | + | 0.0158905i | ||||
\(459\) | −324.366 | − | 10.5643i | −0.706680 | − | 0.0230159i | ||||
\(460\) | −155.387 | − | 792.393i | −0.337798 | − | 1.72259i | ||||
\(461\) | −229.796 | − | 316.286i | −0.498472 | − | 0.686088i | 0.483450 | − | 0.875372i | \(-0.339383\pi\) |
−0.981922 | + | 0.189284i | \(0.939383\pi\) | |||||||
\(462\) | 3.12342 | − | 0.294051i | 0.00676064 | − | 0.000636473i | ||||
\(463\) | −46.4568 | − | 33.7528i | −0.100339 | − | 0.0729003i | 0.536485 | − | 0.843910i | \(-0.319752\pi\) |
−0.636823 | + | 0.771010i | \(0.719752\pi\) | |||||||
\(464\) | 309.024 | + | 425.335i | 0.666000 | + | 0.916670i | ||||
\(465\) | −362.584 | − | 528.096i | −0.779752 | − | 1.13569i | ||||
\(466\) | 29.0301 | + | 21.0916i | 0.0622963 | + | 0.0452609i | ||||
\(467\) | 676.082 | − | 219.672i | 1.44771 | − | 0.470390i | 0.523420 | − | 0.852075i | \(-0.324656\pi\) |
0.924292 | + | 0.381685i | \(0.124656\pi\) | |||||||
\(468\) | −3.14351 | + | 24.7321i | −0.00671690 | + | 0.0528463i | ||||
\(469\) | 185.338 | + | 570.412i | 0.395177 | + | 1.21623i | ||||
\(470\) | 22.9209 | − | 4.49475i | 0.0487678 | − | 0.00956330i | ||||
\(471\) | −11.1918 | − | 25.8897i | −0.0237618 | − | 0.0549675i | ||||
\(472\) | 36.1280 | − | 111.191i | 0.0765424 | − | 0.235573i | ||||
\(473\) | 26.5219 | + | 36.5042i | 0.0560716 | + | 0.0771760i | ||||
\(474\) | −6.39001 | − | 7.25361i | −0.0134810 | − | 0.0153030i | ||||
\(475\) | 31.3421 | + | 427.852i | 0.0659833 | + | 0.900742i | ||||
\(476\) | − | 392.010i | − | 0.823551i | ||||||
\(477\) | −329.690 | + | 180.922i | −0.691175 | + | 0.379292i | ||||
\(478\) | −7.59760 | + | 23.3830i | −0.0158946 | + | 0.0489184i | ||||
\(479\) | 199.787 | + | 64.9147i | 0.417092 | + | 0.135521i | 0.510042 | − | 0.860149i | \(-0.329630\pi\) |
−0.0929503 | + | 0.995671i | \(0.529630\pi\) | |||||||
\(480\) | −25.8903 | − | 87.5554i | −0.0539381 | − | 0.182407i | ||||
\(481\) | 0.00689634 | + | 0.0212247i | 1.43375e−5 | + | 4.41263e-5i | ||||
\(482\) | 12.1164i | 0.0251377i | ||||||||
\(483\) | 507.143 | − | 856.788i | 1.04999 | − | 1.77389i | ||||
\(484\) | −386.738 | − | 280.982i | −0.799045 | − | 0.580540i | ||||
\(485\) | 373.835 | + | 173.570i | 0.770795 | + | 0.357875i | ||||
\(486\) | −27.5788 | − | 14.1183i | −0.0567465 | − | 0.0290499i | ||||
\(487\) | 279.562 | + | 203.114i | 0.574049 | + | 0.417071i | 0.836574 | − | 0.547854i | \(-0.184555\pi\) |
−0.262525 | + | 0.964925i | \(0.584555\pi\) | |||||||
\(488\) | −18.1792 | + | 25.0216i | −0.0372525 | + | 0.0512737i | ||||
\(489\) | −82.3188 | + | 367.616i | −0.168341 | + | 0.751771i | ||||
\(490\) | 10.0385 | − | 5.58617i | 0.0204867 | − | 0.0114003i | ||||
\(491\) | −94.8253 | + | 130.516i | −0.193127 | + | 0.265816i | −0.894588 | − | 0.446891i | \(-0.852531\pi\) |
0.701462 | + | 0.712707i | \(0.252531\pi\) | |||||||
\(492\) | 267.998 | − | 452.766i | 0.544711 | − | 0.920256i | ||||
\(493\) | −399.830 | −0.811015 | ||||||||
\(494\) | −1.44690 | + | 0.470127i | −0.00292895 | + | 0.000951673i | ||||
\(495\) | 11.0204 | − | 43.7164i | 0.0222634 | − | 0.0883160i | ||||
\(496\) | 208.578 | − | 641.939i | 0.420521 | − | 1.29423i | ||||
\(497\) | −495.134 | − | 160.879i | −0.996245 | − | 0.323700i | ||||
\(498\) | 8.68589 | − | 38.7891i | 0.0174415 | − | 0.0778897i | ||||
\(499\) | −669.740 | −1.34216 | −0.671082 | − | 0.741383i | \(-0.734170\pi\) | ||||
−0.671082 | + | 0.741383i | \(0.734170\pi\) | |||||||
\(500\) | −388.545 | − | 311.456i | −0.777091 | − | 0.622911i | ||||
\(501\) | 172.218 | + | 195.493i | 0.343749 | + | 0.390206i | ||||
\(502\) | 25.0147 | − | 18.1742i | 0.0498301 | − | 0.0362037i | ||||
\(503\) | −720.028 | − | 233.951i | −1.43147 | − | 0.465112i | −0.512240 | − | 0.858842i | \(-0.671184\pi\) |
−0.919226 | + | 0.393731i | \(0.871184\pi\) | |||||||
\(504\) | 31.9852 | − | 67.8380i | 0.0634628 | − | 0.134599i | ||||
\(505\) | 429.122 | + | 51.9687i | 0.849747 | + | 0.102908i | ||||
\(506\) | −4.92493 | + | 1.60021i | −0.00973306 | + | 0.00316246i | ||||
\(507\) | 379.345 | − | 334.182i | 0.748216 | − | 0.659135i | ||||
\(508\) | 102.155 | + | 314.400i | 0.201092 | + | 0.618898i | ||||
\(509\) | 335.686 | − | 462.033i | 0.659502 | − | 0.907726i | −0.339963 | − | 0.940439i | \(-0.610415\pi\) |
0.999465 | + | 0.0327124i | \(0.0104145\pi\) | |||||||
\(510\) | 21.6659 | + | 7.68379i | 0.0424822 | + | 0.0150663i | ||||
\(511\) | −711.407 | + | 516.867i | −1.39219 | + | 1.01148i | ||||
\(512\) | 94.3738 | − | 129.894i | 0.184324 | − | 0.253700i | ||||
\(513\) | −15.0818 | + | 463.073i | −0.0293993 | + | 0.902676i | ||||
\(514\) | 5.59722 | − | 4.06662i | 0.0108895 | − | 0.00791170i | ||||
\(515\) | −225.684 | − | 104.784i | −0.438221 | − | 0.203464i | ||||
\(516\) | 535.885 | − | 50.4503i | 1.03854 | − | 0.0977719i | ||||
\(517\) | 11.3433 | + | 34.9109i | 0.0219405 | + | 0.0675260i | ||||
\(518\) | − | 0.0334999i | − | 6.46717e-5i | ||||||
\(519\) | −307.042 | + | 518.730i | −0.591604 | + | 0.999479i | ||||
\(520\) | 1.49038 | − | 3.20999i | 0.00286611 | − | 0.00617305i | ||||
\(521\) | −704.102 | − | 228.777i | −1.35144 | − | 0.439111i | −0.458267 | − | 0.888815i | \(-0.651529\pi\) |
−0.893178 | + | 0.449704i | \(0.851529\pi\) | |||||||
\(522\) | −34.5252 | − | 16.2784i | −0.0661402 | − | 0.0311847i | ||||
\(523\) | 475.508 | − | 345.477i | 0.909193 | − | 0.660567i | −0.0316179 | − | 0.999500i | \(-0.510066\pi\) |
0.940811 | + | 0.338933i | \(0.110066\pi\) | |||||||
\(524\) | 141.612i | 0.270252i | ||||||||
\(525\) | −102.056 | − | 605.455i | −0.194392 | − | 1.15325i | ||||
\(526\) | 0.0965694 | 0.000183592 | ||||||||
\(527\) | 301.723 | + | 415.286i | 0.572529 | + | 0.788019i | ||||
\(528\) | 43.6043 | − | 18.8496i | 0.0825840 | − | 0.0357000i | ||||
\(529\) | −344.372 | + | 1059.87i | −0.650986 | + | 2.00353i | ||||
\(530\) | 26.1404 | − | 5.12610i | 0.0493215 | − | 0.00967189i | ||||
\(531\) | −192.920 | − | 1015.52i | −0.363315 | − | 1.91247i | ||||
\(532\) | −559.643 | −1.05196 | ||||||||
\(533\) | 29.1138 | − | 9.45964i | 0.0546225 | − | 0.0177479i | ||||
\(534\) | −28.5534 | + | 2.68813i | −0.0534707 | + | 0.00503394i | ||||
\(535\) | −850.071 | − | 102.948i | −1.58892 | − | 0.192425i | ||||
\(536\) | −43.8343 | − | 60.3327i | −0.0817804 | − | 0.112561i | ||||
\(537\) | 6.36669 | + | 67.6272i | 0.0118560 | + | 0.125935i | ||||
\(538\) | −15.0733 | − | 10.9514i | −0.0280172 | − | 0.0203557i | ||||
\(539\) | 10.6120 | + | 14.6062i | 0.0196883 | + | 0.0270986i | ||||
\(540\) | −381.806 | − | 378.760i | −0.707047 | − | 0.701407i | ||||
\(541\) | 281.394 | + | 204.445i | 0.520138 | + | 0.377902i | 0.816656 | − | 0.577125i | \(-0.195826\pi\) |
−0.296518 | + | 0.955027i | \(0.595826\pi\) | |||||||
\(542\) | 30.4261 | − | 9.88604i | 0.0561367 | − | 0.0182399i | ||||
\(543\) | 130.554 | − | 115.011i | 0.240432 | − | 0.211807i | ||||
\(544\) | 22.6089 | + | 69.5829i | 0.0415604 | + | 0.127910i | ||||
\(545\) | −251.064 | + | 270.129i | −0.460669 | + | 0.495649i | ||||
\(546\) | 1.99866 | − | 0.863997i | 0.00366056 | − | 0.00158241i | ||||
\(547\) | −272.374 | + | 838.280i | −0.497941 | + | 1.53250i | 0.314383 | + | 0.949296i | \(0.398202\pi\) |
−0.812323 | + | 0.583207i | \(0.801798\pi\) | |||||||
\(548\) | 179.129 | + | 246.550i | 0.326878 | + | 0.449908i | ||||
\(549\) | −34.4792 | + | 271.271i | −0.0628036 | + | 0.494117i | ||||
\(550\) | −1.68330 | + | 2.71379i | −0.00306054 | + | 0.00493417i | ||||
\(551\) | 570.807i | 1.03595i | ||||||||
\(552\) | −27.0515 | + | 120.806i | −0.0490063 | + | 0.218851i | ||||
\(553\) | 63.9349 | − | 196.771i | 0.115615 | − | 0.355825i | ||||
\(554\) | −42.4382 | − | 13.7890i | −0.0766032 | − | 0.0248899i | ||||
\(555\) | −0.453728 | − | 0.160914i | −0.000817527 | − | 0.000289934i | ||||
\(556\) | 306.938 | + | 944.658i | 0.552047 | + | 1.69903i | ||||
\(557\) | − | 116.530i | − | 0.209210i | −0.994514 | − | 0.104605i | \(-0.966642\pi\) | ||
0.994514 | − | 0.104605i | \(-0.0333578\pi\) | |||||||
\(558\) | 9.14598 | + | 48.1439i | 0.0163906 | + | 0.0862794i | ||||
\(559\) | 25.3361 | + | 18.4077i | 0.0453239 | + | 0.0329298i | ||||
\(560\) | 440.438 | − | 473.882i | 0.786497 | − | 0.846218i | ||||
\(561\) | −7.89431 | + | 35.2541i | −0.0140719 | + | 0.0628416i | ||||
\(562\) | −28.7696 | − | 20.9023i | −0.0511914 | − | 0.0371927i | ||||
\(563\) | 141.849 | − | 195.238i | 0.251951 | − | 0.346781i | −0.664242 | − | 0.747517i | \(-0.731246\pi\) |
0.916193 | + | 0.400736i | \(0.131246\pi\) | |||||||
\(564\) | 427.300 | + | 95.6836i | 0.757624 | + | 0.169652i | ||||
\(565\) | 81.6004 | + | 75.8414i | 0.144425 | + | 0.134233i | ||||
\(566\) | 5.17593 | − | 7.12406i | 0.00914475 | − | 0.0125867i | ||||
\(567\) | −40.6300 | − | 661.869i | −0.0716578 | − | 1.16732i | ||||
\(568\) | 64.7335 | 0.113967 | ||||||||
\(569\) | −542.163 | + | 176.159i | −0.952835 | + | 0.309595i | −0.743867 | − | 0.668328i | \(-0.767010\pi\) |
−0.208968 | + | 0.977923i | \(0.567010\pi\) | |||||||
\(570\) | 10.9696 | − | 30.9308i | 0.0192448 | − | 0.0542646i | ||||
\(571\) | 38.7398 | − | 119.229i | 0.0678455 | − | 0.208807i | −0.911386 | − | 0.411553i | \(-0.864987\pi\) |
0.979231 | + | 0.202746i | \(0.0649865\pi\) | |||||||
\(572\) | 2.63946 | + | 0.857612i | 0.00461444 | + | 0.00149932i | ||||
\(573\) | 522.265 | + | 116.949i | 0.911457 | + | 0.204099i | ||||
\(574\) | −45.9515 | −0.0800549 | ||||||||
\(575\) | 382.763 | + | 938.416i | 0.665675 | + | 1.63203i | ||||
\(576\) | 70.8619 | − | 557.517i | 0.123024 | − | 0.967911i | ||||
\(577\) | 603.384 | − | 438.384i | 1.04573 | − | 0.759765i | 0.0743316 | − | 0.997234i | \(-0.476318\pi\) |
0.971395 | + | 0.237469i | \(0.0763177\pi\) | |||||||
\(578\) | 17.5246 | + | 5.69409i | 0.0303194 | + | 0.00985136i | ||||
\(579\) | −178.314 | − | 412.491i | −0.307969 | − | 0.712419i | ||||
\(580\) | −485.324 | − | 451.072i | −0.836765 | − | 0.777711i | ||||
\(581\) | 809.120 | − | 262.899i | 1.39263 | − | 0.452494i | ||||
\(582\) | −20.8425 | − | 23.6594i | −0.0358119 | − | 0.0406518i | ||||
\(583\) | 12.9366 | + | 39.8146i | 0.0221896 | + | 0.0682927i | ||||
\(584\) | 64.2676 | − | 88.4567i | 0.110047 | − | 0.151467i | ||||
\(585\) | −2.10170 | − | 31.2203i | −0.00359264 | − | 0.0533680i | ||||
\(586\) | −11.1833 | + | 8.12514i | −0.0190841 | + | 0.0138654i | ||||
\(587\) | −10.4605 | + | 14.3977i | −0.0178204 | + | 0.0245276i | −0.817834 | − | 0.575454i | \(-0.804825\pi\) |
0.800014 | + | 0.599982i | \(0.204825\pi\) | |||||||
\(588\) | 214.420 | − | 20.1863i | 0.364659 | − | 0.0343305i | ||||
\(589\) | 592.872 | − | 430.747i | 1.00657 | − | 0.731319i | ||||
\(590\) | −8.80287 | + | 72.6881i | −0.0149201 | + | 0.123200i | ||||
\(591\) | 70.8839 | + | 752.931i | 0.119939 | + | 1.27400i | ||||
\(592\) | −0.156752 | − | 0.482432i | −0.000264783 | − | 0.000814918i | ||||
\(593\) | − | 378.863i | − | 0.638892i | −0.947604 | − | 0.319446i | \(-0.896503\pi\) | ||
0.947604 | − | 0.319446i | \(-0.103497\pi\) | |||||||
\(594\) | −2.11698 | + | 2.72278i | −0.00356395 | + | 0.00458380i | ||||
\(595\) | 94.6798 | + | 482.817i | 0.159126 | + | 0.811457i | ||||
\(596\) | 717.944 | + | 233.274i | 1.20460 | + | 0.391400i | ||||
\(597\) | 18.7794 | + | 43.4419i | 0.0314562 | + | 0.0727670i | ||||
\(598\) | −2.90768 | + | 2.11256i | −0.00486235 | + | 0.00353270i | ||||
\(599\) | − | 350.102i | − | 0.584478i | −0.956345 | − | 0.292239i | \(-0.905600\pi\) | ||
0.956345 | − | 0.292239i | \(-0.0944002\pi\) | |||||||
\(600\) | 35.3322 | + | 67.6766i | 0.0588870 | + | 0.112794i | ||||
\(601\) | 238.239 | 0.396404 | 0.198202 | − | 0.980161i | \(-0.436490\pi\) | ||||
0.198202 | + | 0.980161i | \(0.436490\pi\) | |||||||
\(602\) | −27.6317 | − | 38.0318i | −0.0458999 | − | 0.0631758i | ||||
\(603\) | −596.391 | − | 281.195i | −0.989039 | − | 0.466326i | ||||
\(604\) | 220.666 | − | 679.139i | 0.365340 | − | 1.12440i | ||||
\(605\) | 544.187 | + | 252.663i | 0.899482 | + | 0.417624i | ||||
\(606\) | −28.4564 | − | 16.8437i | −0.0469577 | − | 0.0277948i | ||||
\(607\) | −2.48465 | −0.00409333 | −0.00204667 | − | 0.999998i | \(-0.500651\pi\) | ||||
−0.00204667 | + | 0.999998i | \(0.500651\pi\) | |||||||
\(608\) | 99.3382 | − | 32.2769i | 0.163385 | − | 0.0530871i | ||||
\(609\) | −76.5729 | − | 813.360i | −0.125735 | − | 1.33557i | ||||
\(610\) | 8.15687 | − | 17.5683i | 0.0133719 | − | 0.0288005i | ||||
\(611\) | 14.9751 | + | 20.6115i | 0.0245092 | + | 0.0337340i | ||||
\(612\) | 313.931 | + | 295.251i | 0.512959 | + | 0.482436i | ||||
\(613\) | 216.899 | + | 157.587i | 0.353832 | + | 0.257074i | 0.750475 | − | 0.660899i | \(-0.229825\pi\) |
−0.396643 | + | 0.917973i | \(0.629825\pi\) | |||||||
\(614\) | 30.6044 | + | 42.1234i | 0.0498444 | + | 0.0686049i | ||||
\(615\) | −220.724 | + | 622.374i | −0.358900 | + | 1.01199i | ||||
\(616\) | −6.75443 | − | 4.90738i | −0.0109650 | − | 0.00796653i | ||||
\(617\) | −642.412 | + | 208.732i | −1.04119 | + | 0.338302i | −0.779204 | − | 0.626770i | \(-0.784376\pi\) |
−0.261983 | + | 0.965073i | \(0.584376\pi\) | |||||||
\(618\) | 12.5826 | + | 14.2831i | 0.0203602 | + | 0.0231118i | ||||
\(619\) | 68.8977 | + | 212.045i | 0.111305 | + | 0.342561i | 0.991158 | − | 0.132684i | \(-0.0423595\pi\) |
−0.879854 | + | 0.475245i | \(0.842359\pi\) | |||||||
\(620\) | −102.270 | + | 844.476i | −0.164951 | + | 1.36206i | ||||
\(621\) | 304.170 | + | 1051.44i | 0.489807 | + | 1.69314i | ||||
\(622\) | 10.1646 | − | 31.2833i | 0.0163418 | − | 0.0502948i | ||||
\(623\) | −360.799 | − | 496.597i | −0.579131 | − | 0.797105i | ||||
\(624\) | 24.7399 | − | 21.7945i | 0.0396473 | − | 0.0349270i | ||||
\(625\) | 553.773 | + | 289.759i | 0.886037 | + | 0.463615i | ||||
\(626\) | − | 2.05426i | − | 0.00328156i | ||||||
\(627\) | 50.3296 | + | 11.2701i | 0.0802705 | + | 0.0179747i | ||||
\(628\) | −11.5740 | + | 35.6210i | −0.0184299 | + | 0.0567213i | ||||
\(629\) | 0.366892 | + | 0.119210i | 0.000583294 | + | 0.000189524i | ||||
\(630\) | −11.4815 | + | 45.5458i | −0.0182246 | + | 0.0722949i | ||||
\(631\) | 49.2832 | + | 151.678i | 0.0781034 | + | 0.240377i | 0.982483 | − | 0.186351i | \(-0.0596661\pi\) |
−0.904380 | + | 0.426728i | \(0.859666\pi\) | |||||||
\(632\) | 25.7258i | 0.0407053i | ||||||||
\(633\) | −890.732 | − | 527.235i | −1.40716 | − | 0.832914i | ||||
\(634\) | 14.9299 | + | 10.8472i | 0.0235487 | + | 0.0171091i | ||||
\(635\) | −201.753 | − | 362.556i | −0.317722 | − | 0.570955i | ||||
\(636\) | 487.320 | + | 109.124i | 0.766227 | + | 0.171578i | ||||
\(637\) | 10.1375 | + | 7.36535i | 0.0159145 | + | 0.0115626i | ||||
\(638\) | −2.49754 | + | 3.43757i | −0.00391464 | + | 0.00538805i | ||||
\(639\) | 501.756 | − | 275.345i | 0.785220 | − | 0.430901i | ||||
\(640\) | −68.0298 | + | 146.523i | −0.106297 | + | 0.228942i | ||||
\(641\) | −44.0798 | + | 60.6706i | −0.0687672 | + | 0.0946500i | −0.842015 | − | 0.539454i | \(-0.818631\pi\) |
0.773248 | + | 0.634104i | \(0.218631\pi\) | |||||||
\(642\) | 56.3707 | + | 33.3665i | 0.0878049 | + | 0.0519728i | ||||
\(643\) | 453.671 | 0.705554 | 0.352777 | − | 0.935707i | \(-0.385237\pi\) | ||||
0.352777 | + | 0.935707i | \(0.385237\pi\) | |||||||
\(644\) | −1257.40 | + | 408.555i | −1.95249 | + | 0.634403i | ||||
\(645\) | −647.834 | + | 191.566i | −1.00439 | + | 0.297001i | ||||
\(646\) | −8.12663 | + | 25.0112i | −0.0125799 | + | 0.0387170i | ||||
\(647\) | 358.234 | + | 116.397i | 0.553685 | + | 0.179903i | 0.572478 | − | 0.819920i | \(-0.305982\pi\) |
−0.0187928 | + | 0.999823i | \(0.505982\pi\) | |||||||
\(648\) | 30.2359 | + | 76.7081i | 0.0466604 | + | 0.118377i | ||||
\(649\) | −115.068 | −0.177301 | ||||||||
\(650\) | −0.529083 | + | 2.15237i | −0.000813974 | + | 0.00331134i | ||||
\(651\) | −787.017 | + | 693.316i | −1.20893 | + | 1.06500i | ||||
\(652\) | 404.712 | − | 294.041i | 0.620724 | − | 0.450982i | ||||
\(653\) | −42.5450 | − | 13.8237i | −0.0651531 | − | 0.0211695i | 0.276259 | − | 0.961083i | \(-0.410905\pi\) |
−0.341412 | + | 0.939914i | \(0.610905\pi\) | |||||||
\(654\) | 25.8960 | − | 11.1945i | 0.0395964 | − | 0.0171170i | ||||
\(655\) | −34.2027 | − | 174.416i | −0.0522179 | − | 0.266284i | ||||
\(656\) | −661.747 | + | 215.015i | −1.00876 | + | 0.327766i | ||||
\(657\) | 121.892 | − | 959.001i | 0.185527 | − | 1.45967i | ||||
\(658\) | −11.8179 | − | 36.3718i | −0.0179604 | − | 0.0552763i | ||||
\(659\) | −542.582 | + | 746.801i | −0.823342 | + | 1.13323i | 0.165784 | + | 0.986162i | \(0.446985\pi\) |
−0.989126 | + | 0.147071i | \(0.953015\pi\) | |||||||
\(660\) | −49.3546 | + | 33.8863i | −0.0747796 | + | 0.0513428i | ||||
\(661\) | −345.897 | + | 251.309i | −0.523293 | + | 0.380195i | −0.817843 | − | 0.575441i | \(-0.804830\pi\) |
0.294550 | + | 0.955636i | \(0.404830\pi\) | |||||||
\(662\) | −2.45294 | + | 3.37618i | −0.00370535 | + | 0.00509997i | ||||
\(663\) | 2.35021 | + | 24.9640i | 0.00354481 | + | 0.0376531i | ||||
\(664\) | −85.5809 | + | 62.1781i | −0.128887 | + | 0.0936418i | ||||
\(665\) | 689.281 | − | 135.167i | 1.03651 | − | 0.203259i | ||||
\(666\) | 0.0268275 | + | 0.0252312i | 4.02816e−5 | + | 3.78846e-5i | ||||
\(667\) | 416.705 | + | 1282.49i | 0.624745 | + | 1.92277i | ||||
\(668\) | − | 345.964i | − | 0.517910i | ||||||
\(669\) | 228.219 | + | 135.086i | 0.341134 | + | 0.201922i | ||||
\(670\) | 34.2102 | + | 31.7958i | 0.0510600 | + | 0.0474564i | ||||
\(671\) | 28.9506 | + | 9.40661i | 0.0431454 | + | 0.0140188i | ||||
\(672\) | −137.220 | + | 59.3184i | −0.204196 | + | 0.0882714i | ||||
\(673\) | 28.7515 | − | 20.8892i | 0.0427214 | − | 0.0310389i | −0.566220 | − | 0.824254i | \(-0.691595\pi\) |
0.608941 | + | 0.793215i | \(0.291595\pi\) | |||||||
\(674\) | 29.3847i | 0.0435975i | ||||||||
\(675\) | 561.728 | + | 374.282i | 0.832189 | + | 0.554492i | ||||
\(676\) | −671.326 | −0.993087 | ||||||||
\(677\) | 391.613 | + | 539.009i | 0.578454 | + | 0.796173i | 0.993525 | − | 0.113616i | \(-0.0362433\pi\) |
−0.415071 | + | 0.909789i | \(0.636243\pi\) | |||||||
\(678\) | −3.38164 | − | 7.82267i | −0.00498767 | − | 0.0115379i | ||||
\(679\) | 208.539 | − | 641.816i | 0.307126 | − | 0.945237i | ||||
\(680\) | −29.7478 | − | 53.4575i | −0.0437467 | − | 0.0786140i | ||||
\(681\) | 358.838 | − | 606.235i | 0.526927 | − | 0.890212i | ||||
\(682\) | 5.45517 | 0.00799878 | ||||||||
\(683\) | −58.9497 | + | 19.1539i | −0.0863100 | + | 0.0280438i | −0.351854 | − | 0.936055i | \(-0.614449\pi\) |
0.265544 | + | 0.964099i | \(0.414449\pi\) | |||||||
\(684\) | 421.507 | − | 448.175i | 0.616238 | − | 0.655227i | ||||
\(685\) | −280.170 | − | 260.397i | −0.409008 | − | 0.380142i | ||||
\(686\) | 19.0067 | + | 26.1605i | 0.0277065 | + | 0.0381348i | ||||
\(687\) | 551.715 | − | 51.9406i | 0.803078 | − | 0.0756049i | ||||
\(688\) | −575.881 | − | 418.402i | −0.837036 | − | 0.608142i | ||||
\(689\) | 17.0786 | + | 23.5066i | 0.0247875 | + | 0.0341170i | ||||
\(690\) | 2.06599 | − | 77.5033i | 0.00299418 | − | 0.112324i | ||||
\(691\) | −704.680 | − | 511.980i | −1.01980 | − | 0.740926i | −0.0535564 | − | 0.998565i | \(-0.517056\pi\) |
−0.966241 | + | 0.257638i | \(0.917056\pi\) | |||||||
\(692\) | 761.276 | − | 247.354i | 1.10011 | − | 0.357447i | ||||
\(693\) | −73.2280 | − | 9.30747i | −0.105668 | − | 0.0134307i | ||||
\(694\) | 2.48323 | + | 7.64261i | 0.00357815 | + | 0.0110124i | ||||
\(695\) | −606.195 | − | 1089.35i | −0.872223 | − | 1.56741i | ||||
\(696\) | 40.3071 | + | 93.2416i | 0.0579125 | + | 0.133968i | ||||
\(697\) | 163.520 | − | 503.262i | 0.234605 | − | 0.722040i | ||||
\(698\) | 4.06624 | + | 5.59669i | 0.00582555 | + | 0.00801818i | ||||
\(699\) | −558.111 | − | 633.539i | −0.798442 | − | 0.906350i | ||||
\(700\) | −429.770 | + | 692.869i | −0.613956 | + | 0.989813i | ||||
\(701\) | − | 1025.22i | − | 1.46251i | −0.682104 | − | 0.731255i | \(-0.738935\pi\) | ||
0.682104 | − | 0.731255i | \(-0.261065\pi\) | |||||||
\(702\) | −0.813427 | + | 2.25131i | −0.00115873 | + | 0.00320700i | ||||
\(703\) | 0.170188 | − | 0.523784i | 0.000242088 | − | 0.000745069i | ||||
\(704\) | −59.4994 | − | 19.3325i | −0.0845162 | − | 0.0274610i | ||||
\(705\) | −549.391 | − | 14.6450i | −0.779278 | − | 0.0207730i | ||||
\(706\) | −3.93589 | − | 12.1134i | −0.00557491 | − | 0.0171578i | ||||
\(707\) | − | 707.745i | − | 1.00105i | ||||||
\(708\) | −699.182 | + | 1181.23i | −0.987545 | + | 1.66840i | ||||
\(709\) | −957.859 | − | 695.925i | −1.35100 | − | 0.981559i | −0.998961 | − | 0.0455733i | \(-0.985489\pi\) |
−0.352039 | − | 0.935985i | \(-0.614511\pi\) | |||||||
\(710\) | −39.7831 | + | 7.80141i | −0.0560325 | + | 0.0109879i | ||||
\(711\) | 109.425 | + | 199.403i | 0.153903 | + | 0.280454i | ||||
\(712\) | 61.7471 | + | 44.8619i | 0.0867234 | + | 0.0630083i | ||||
\(713\) | 1017.60 | − | 1400.61i | 1.42722 | − | 1.96439i | ||||
\(714\) | 8.22466 | − | 36.7294i | 0.0115191 | − | 0.0514417i | ||||
\(715\) | −3.45800 | − | 0.418780i | −0.00483637 | − | 0.000585707i | ||||
\(716\) | 53.0183 | − | 72.9735i | 0.0740479 | − | 0.101918i | ||||
\(717\) | 294.671 | − | 497.829i | 0.410978 | − | 0.694322i | ||||
\(718\) | −44.9173 | −0.0625589 | ||||||||
\(719\) | −927.942 | + | 301.507i | −1.29060 | + | 0.419342i | −0.872302 | − | 0.488968i | \(-0.837374\pi\) |
−0.418299 | + | 0.908309i | \(0.637374\pi\) | |||||||
\(720\) | 47.7708 | + | 709.627i | 0.0663484 | + | 0.985594i | ||||
\(721\) | −125.895 | + | 387.464i | −0.174611 | + | 0.537397i | ||||
\(722\) | −8.06816 | − | 2.62151i | −0.0111747 | − | 0.00363089i | ||||
\(723\) | 62.2965 | − | 278.201i | 0.0861639 | − | 0.384788i | ||||
\(724\) | −231.042 | −0.319119 | ||||||||
\(725\) | 706.690 | + | 438.343i | 0.974745 | + | 0.604611i | ||||
\(726\) | −30.3402 | − | 34.4406i | −0.0417909 | − | 0.0474388i | ||||
\(727\) | 667.894 | − | 485.253i | 0.918699 | − | 0.667474i | −0.0245011 | − | 0.999700i | \(-0.507800\pi\) |
0.943200 | + | 0.332226i | \(0.107800\pi\) | |||||||
\(728\) | −5.51104 | − | 1.79065i | −0.00757011 | − | 0.00245968i | ||||
\(729\) | 560.642 | + | 465.963i | 0.769056 | + | 0.639182i | ||||
\(730\) | −28.8363 | + | 62.1079i | −0.0395018 | + | 0.0850793i | ||||
\(731\) | 514.853 | − | 167.286i | 0.704314 | − | 0.228845i | ||||
\(732\) | 272.473 | − | 240.033i | 0.372231 | − | 0.327914i | ||||
\(733\) | −176.209 | − | 542.314i | −0.240394 | − | 0.739855i | −0.996360 | − | 0.0852450i | \(-0.972833\pi\) |
0.755966 | − | 0.654610i | \(-0.227167\pi\) | |||||||
\(734\) | −6.76730 | + | 9.31439i | −0.00921976 | + | 0.0126899i | ||||
\(735\) | −259.213 | + | 76.6498i | −0.352671 | + | 0.104285i | ||||
\(736\) | 199.629 | − | 145.039i | 0.271236 | − | 0.197064i | ||||
\(737\) | −43.1427 | + | 59.3809i | −0.0585383 | + | 0.0805711i | ||||
\(738\) | 34.6094 | − | 36.7991i | 0.0468961 | − | 0.0498632i | ||||
\(739\) | 373.051 | − | 271.037i | 0.504805 | − | 0.366762i | −0.306045 | − | 0.952017i | \(-0.599006\pi\) |
0.810849 | + | 0.585255i | \(0.199006\pi\) | |||||||
\(740\) | 0.310854 | + | 0.558613i | 0.000420073 | + | 0.000754883i | ||||
\(741\) | 35.6392 | − | 3.35521i | 0.0480960 | − | 0.00452795i | ||||
\(742\) | −13.4779 | − | 41.4807i | −0.0181643 | − | 0.0559039i | ||||
\(743\) | 332.881i | 0.448023i | 0.974586 | + | 0.224012i | \(0.0719153\pi\) | ||||
−0.974586 | + | 0.224012i | \(0.928085\pi\) | |||||||
\(744\) | 66.4290 | − | 112.228i | 0.0892863 | − | 0.150844i | ||||
\(745\) | −940.592 | − | 113.910i | −1.26254 | − | 0.152899i | ||||
\(746\) | −37.3841 | − | 12.1468i | −0.0501127 | − | 0.0162826i | ||||
\(747\) | −398.870 | + | 845.970i | −0.533962 | + | 1.13249i | ||||
\(748\) | 38.8116 | − | 28.1983i | 0.0518872 | − | 0.0376983i | ||||
\(749\) | 1402.01i | 1.87184i | ||||||||
\(750\) | −29.8701 | − | 37.3338i | −0.0398268 | − | 0.0497783i | ||||
\(751\) | 962.325 | 1.28139 | 0.640695 | − | 0.767795i | \(-0.278646\pi\) | ||||
0.640695 | + | 0.767795i | \(0.278646\pi\) | |||||||
\(752\) | −340.379 | − | 468.492i | −0.452632 | − | 0.622994i | ||||
\(753\) | −667.801 | + | 288.681i | −0.886853 | + | 0.383375i | ||||
\(754\) | −0.911323 | + | 2.80477i | −0.00120865 | + | 0.00371985i | ||||
\(755\) | −107.753 | + | 889.752i | −0.142719 | + | 1.17848i | ||||
\(756\) | −540.496 | + | 695.163i | −0.714941 | + | 0.919527i | ||||
\(757\) | −935.169 | −1.23536 | −0.617681 | − | 0.786429i | \(-0.711928\pi\) | ||||
−0.617681 | + | 0.786429i | \(0.711928\pi\) | |||||||
\(758\) | −16.2371 | + | 5.27575i | −0.0214210 | + | 0.00696009i | ||||
\(759\) | 121.308 | − | 11.4204i | 0.159826 | − | 0.0150466i | ||||
\(760\) | −76.3172 | + | 42.4686i | −0.100417 | + | 0.0558798i | ||||
\(761\) | 5.34144 | + | 7.35186i | 0.00701898 | + | 0.00966079i | 0.812512 | − | 0.582944i | \(-0.198099\pi\) |
−0.805493 | + | 0.592605i | \(0.798099\pi\) | |||||||
\(762\) | 2.97504 | + | 31.6010i | 0.00390425 | + | 0.0414711i | ||||
\(763\) | 488.501 | + | 354.917i | 0.640237 | + | 0.465160i | ||||
\(764\) | −417.738 | − | 574.967i | −0.546778 | − | 0.752575i | ||||
\(765\) | −457.961 | − | 287.822i | −0.598642 | − | 0.376238i | ||||
\(766\) | −13.2276 | − | 9.61039i | −0.0172684 | − | 0.0125462i | ||||
\(767\) | −75.9552 | + | 24.6794i | −0.0990290 | + | 0.0321765i | ||||
\(768\) | −553.001 | + | 487.162i | −0.720053 | + | 0.634325i | ||||
\(769\) | −47.8987 | − | 147.417i | −0.0622870 | − | 0.191700i | 0.915071 | − | 0.403293i | \(-0.132135\pi\) |
−0.977358 | + | 0.211594i | \(0.932135\pi\) | |||||||
\(770\) | 4.74247 | + | 2.20190i | 0.00615906 | + | 0.00285961i | ||||
\(771\) | −149.425 | + | 64.5945i | −0.193807 | + | 0.0837802i | ||||
\(772\) | −184.403 | + | 567.535i | −0.238864 | + | 0.735149i | ||||
\(773\) | 710.654 | + | 978.131i | 0.919345 | + | 1.26537i | 0.963873 | + | 0.266361i | \(0.0858215\pi\) |
−0.0445284 | + | 0.999008i | \(0.514179\pi\) | |||||||
\(774\) | 51.2682 | + | 6.51632i | 0.0662379 | + | 0.00841902i | ||||
\(775\) | −78.0009 | − | 1064.79i | −0.100646 | − | 1.37393i | ||||
\(776\) | 83.9106i | 0.108132i | ||||||||
\(777\) | −0.172241 | + | 0.769185i | −0.000221674 | + | 0.000989942i | ||||
\(778\) | 20.1574 | − | 62.0380i | 0.0259092 | − | 0.0797404i | ||||
\(779\) | −718.469 | − | 233.445i | −0.922297 | − | 0.299672i | ||||
\(780\) | −25.3106 | + | 32.9533i | −0.0324495 | + | 0.0422478i | ||||
\(781\) | −19.6882 | − | 60.5939i | −0.0252089 | − | 0.0775850i | ||||
\(782\) | 62.1277i | 0.0794472i | ||||||||
\(783\) | 709.030 | + | 551.278i | 0.905530 | + | 0.704058i | ||||
\(784\) | −230.423 | − | 167.412i | −0.293907 | − | 0.213536i | ||||
\(785\) | 5.65167 | − | 46.6677i | 0.00719958 | − | 0.0594493i | ||||
\(786\) | −2.97113 | + | 13.2683i | −0.00378006 | + | 0.0168808i | ||||
\(787\) | 386.532 | + | 280.832i | 0.491147 | + | 0.356839i | 0.805625 | − | 0.592426i | \(-0.201830\pi\) |
−0.314478 | + | 0.949265i | \(0.601830\pi\) | |||||||
\(788\) | 590.283 | − | 812.455i | 0.749090 | − | 1.03103i | ||||
\(789\) | −2.21731 | − | 0.496513i | −0.00281028 | − | 0.000629294i | ||||
\(790\) | −3.10036 | − | 15.8102i | −0.00392451 | − | 0.0200129i | ||||
\(791\) | 107.213 | − | 147.566i | 0.135541 | − | 0.186557i | ||||
\(792\) | 9.01719 | − | 1.71301i | 0.0113853 | − | 0.00216289i | ||||
\(793\) | 21.1274 | 0.0266424 | ||||||||
\(794\) | −75.5421 | + | 24.5451i | −0.0951412 | + | 0.0309132i | ||||
\(795\) | −626.560 | − | 16.7021i | −0.788126 | − | 0.0210089i | ||||
\(796\) | 19.4206 | − | 59.7705i | 0.0243978 | − | 0.0750886i | ||||
\(797\) | −622.988 | − | 202.421i | −0.781667 | − | 0.253979i | −0.109115 | − | 0.994029i | \(-0.534802\pi\) |
−0.672552 | + | 0.740050i | \(0.734802\pi\) | |||||||
\(798\) | −52.4357 | − | 11.7417i | −0.0657089 | − | 0.0147139i | ||||
\(799\) | 440.399 | 0.551188 | ||||||||
\(800\) | 36.3247 | − | 147.773i | 0.0454058 | − | 0.184716i | ||||
\(801\) | 669.429 | + | 85.0862i | 0.835742 | + | 0.106225i | ||||
\(802\) | 16.2673 | − | 11.8189i | 0.0202835 | − | 0.0147368i | ||||
\(803\) | −102.347 | − | 33.2544i | −0.127455 | − | 0.0414127i | ||||
\(804\) | 347.425 | + | 803.691i | 0.432121 | + | 0.999616i | ||||
\(805\) | 1450.00 | − | 806.887i | 1.80124 | − | 1.00234i | ||||
\(806\) | 3.60089 | − | 1.17000i | 0.00446761 | − | 0.00145161i | ||||
\(807\) | 289.788 | + | 328.952i | 0.359092 | + | 0.407623i | ||||
\(808\) | 27.1939 | + | 83.6943i | 0.0336558 | + | 0.103582i | ||||
\(809\) | 748.911 | − | 1030.79i | 0.925725 | − | 1.27415i | −0.0357792 | − | 0.999360i | \(-0.511391\pi\) |
0.961504 | − | 0.274791i | \(-0.0886087\pi\) | |||||||
\(810\) | −27.8266 | − | 43.4984i | −0.0343538 | − | 0.0537018i | ||||
\(811\) | 471.255 | − | 342.387i | 0.581079 | − | 0.422179i | −0.258034 | − | 0.966136i | \(-0.583075\pi\) |
0.839113 | + | 0.543957i | \(0.183075\pi\) | |||||||
\(812\) | −637.658 | + | 877.661i | −0.785293 | + | 1.08086i | ||||
\(813\) | −749.437 | + | 70.5549i | −0.921816 | + | 0.0867834i | ||||
\(814\) | 0.00331671 | − | 0.00240973i | 4.07459e−6 | − | 2.96036e-6i | ||||
\(815\) | −427.443 | + | 459.900i | −0.524470 | + | 0.564295i | ||||
\(816\) | −53.4194 | − | 567.423i | −0.0654650 | − | 0.695371i | ||||
\(817\) | −238.822 | − | 735.017i | −0.292315 | − | 0.899654i | ||||
\(818\) | − | 46.5911i | − | 0.0569574i | ||||||
\(819\) | −50.3332 | + | 9.56187i | −0.0614569 | + | 0.0116751i | ||||
\(820\) | 766.244 | − | 426.396i | 0.934444 | − | 0.519995i | ||||
\(821\) | −890.226 | − | 289.252i | −1.08432 | − | 0.352317i | −0.288270 | − | 0.957549i | \(-0.593080\pi\) |
−0.796049 | + | 0.605232i | \(0.793080\pi\) | |||||||
\(822\) | 11.6107 | + | 26.8587i | 0.0141249 | + | 0.0326748i | ||||
\(823\) | −191.282 | + | 138.975i | −0.232420 | + | 0.168863i | −0.697900 | − | 0.716195i | \(-0.745882\pi\) |
0.465479 | + | 0.885059i | \(0.345882\pi\) | |||||||
\(824\) | − | 50.6567i | − | 0.0614766i | ||||||
\(825\) | 52.6029 | − | 53.6561i | 0.0637611 | − | 0.0650377i | ||||
\(826\) | 119.883 | 0.145137 | ||||||||
\(827\) | 730.892 | + | 1005.99i | 0.883787 | + | 1.21643i | 0.975357 | + | 0.220630i | \(0.0708115\pi\) |
−0.0915700 | + | 0.995799i | \(0.529189\pi\) | |||||||
\(828\) | 619.859 | − | 1314.67i | 0.748622 | − | 1.58777i | ||||
\(829\) | −97.7673 | + | 300.897i | −0.117934 | + | 0.362963i | −0.992548 | − | 0.121857i | \(-0.961115\pi\) |
0.874614 | + | 0.484820i | \(0.161115\pi\) | |||||||
\(830\) | 45.1018 | − | 48.5265i | 0.0543395 | − | 0.0584657i | ||||
\(831\) | 903.518 | + | 534.803i | 1.08727 | + | 0.643566i | ||||
\(832\) | −43.4212 | −0.0521890 | ||||||||
\(833\) | 206.004 | − | 66.9349i | 0.247304 | − | 0.0803540i | ||||
\(834\) | 8.93891 | + | 94.9494i | 0.0107181 | + | 0.113848i | ||||
\(835\) | 83.5585 | + | 426.104i | 0.100070 | + | 0.510304i | ||||
\(836\) | −40.2566 | − | 55.4084i | −0.0481538 | − | 0.0662780i | ||||
\(837\) | 37.5341 | − | 1152.45i | 0.0448436 | − | 1.37688i | ||||
\(838\) | −52.1419 | − | 37.8833i | −0.0622218 | − | 0.0452068i | ||||
\(839\) | 740.227 | + | 1018.83i | 0.882273 | + | 1.21434i | 0.975786 | + | 0.218726i | \(0.0701902\pi\) |
−0.0935133 | + | 0.995618i | \(0.529810\pi\) | |||||||
\(840\) | 103.050 | − | 70.7526i | 0.122678 | − | 0.0842293i | ||||
\(841\) | 214.785 | + | 156.051i | 0.255393 | + | 0.185554i | ||||
\(842\) | −53.8790 | + | 17.5063i | −0.0639893 | + | 0.0207914i | ||||
\(843\) | 553.103 | + | 627.853i | 0.656112 | + | 0.744784i | ||||
\(844\) | 424.741 | + | 1307.22i | 0.503248 | + | 1.54884i | ||||
\(845\) | 826.835 | − | 162.141i | 0.978502 | − | 0.191883i | ||||
\(846\) | 38.0283 | + | 17.9301i | 0.0449507 | + | 0.0211940i | ||||
\(847\) | 303.567 | − | 934.282i | 0.358402 | − | 1.10305i | ||||
\(848\) | −388.190 | − | 534.298i | −0.457771 | − | 0.630068i | ||||
\(849\) | −155.472 | + | 136.962i | −0.183124 | + | 0.161321i | ||||
\(850\) | 24.7245 | + | 29.2682i | 0.0290876 | + | 0.0344331i | ||||
\(851\) | − | 1.30108i | − | 0.00152888i | ||||||
\(852\) | −741.653 | − | 166.075i | −0.870484 | − | 0.194924i | ||||
\(853\) | 19.0181 | − | 58.5318i | 0.0222956 | − | 0.0686187i | −0.939290 | − | 0.343125i | \(-0.888514\pi\) |
0.961585 | + | 0.274507i | \(0.0885145\pi\) | |||||||
\(854\) | −30.1620 | − | 9.80024i | −0.0353185 | − | 0.0114757i | ||||
\(855\) | −410.901 | + | 653.796i | −0.480586 | + | 0.764674i | ||||
\(856\) | −53.8699 | − | 165.794i | −0.0629321 | − | 0.193685i | ||||
\(857\) | 1119.52i | 1.30632i | 0.757219 | + | 0.653161i | \(0.226558\pi\) | ||||
−0.757219 | + | 0.653161i | \(0.773442\pi\) | |||||||
\(858\) | 0.229310 | + | 0.135732i | 0.000267262 | + | 0.000158195i | ||||
\(859\) | 549.156 | + | 398.985i | 0.639297 | + | 0.464477i | 0.859609 | − | 0.510953i | \(-0.170707\pi\) |
−0.220312 | + | 0.975430i | \(0.570707\pi\) | |||||||
\(860\) | 813.667 | + | 377.781i | 0.946125 | + | 0.439280i | ||||
\(861\) | 1055.08 | + | 236.261i | 1.22542 | + | 0.274403i | ||||
\(862\) | 15.1911 | + | 11.0370i | 0.0176231 | + | 0.0128039i | ||||
\(863\) | −611.305 | + | 841.389i | −0.708349 | + | 0.974958i | 0.291483 | + | 0.956576i | \(0.405851\pi\) |
−0.999831 | + | 0.0183819i | \(0.994149\pi\) | |||||||
\(864\) | 55.8465 | − | 154.566i | 0.0646372 | − | 0.178896i | ||||
\(865\) | −877.879 | + | 488.518i | −1.01489 | + | 0.564760i | ||||
\(866\) | 23.6588 | − | 32.5636i | 0.0273196 | − | 0.0376023i | ||||
\(867\) | −373.102 | − | 220.844i | −0.430337 | − | 0.254722i | ||||
\(868\) | 1392.78 | 1.60459 | ||||||||
\(869\) | 24.0807 | − | 7.82428i | 0.0277108 | − | 0.00900378i | ||||
\(870\) | −36.0085 | − | 52.4456i | −0.0413891 | − | 0.0602823i | ||||
\(871\) | −15.7423 | + | 48.4497i | −0.0180738 | + | 0.0556254i | ||||
\(872\) | −71.4047 | − | 23.2008i | −0.0818862 | − | 0.0266064i | ||||
\(873\) | 356.916 | + | 650.400i | 0.408839 | + | 0.745017i | ||||
\(874\) | 88.6950 | 0.101482 | ||||||||
\(875\) | 361.978 | − | 957.167i | 0.413690 | − | 1.09390i | ||||
\(876\) | −963.253 | + | 848.570i | −1.09960 | + | 0.968688i | ||||
\(877\) | −1145.78 | + | 832.455i | −1.30647 | + | 0.949207i | −0.999996 | − | 0.00267117i | \(-0.999150\pi\) |
−0.306475 | + | 0.951879i | \(0.599150\pi\) | |||||||
\(878\) | −94.4738 | − | 30.6964i | −0.107601 | − | 0.0349617i | ||||
\(879\) | 298.553 | − | 129.061i | 0.339651 | − | 0.146827i | ||||
\(880\) | 78.5993 | + | 9.51874i | 0.0893174 | + | 0.0108167i | ||||
\(881\) | −1347.76 | + | 437.914i | −1.52981 | + | 0.497065i | −0.948543 | − | 0.316649i | \(-0.897442\pi\) |
−0.581265 | + | 0.813714i | \(0.697442\pi\) | |||||||
\(882\) | 20.5135 | + | 2.60733i | 0.0232580 | + | 0.00295615i | ||||
\(883\) | −146.773 | − | 451.720i | −0.166221 | − | 0.511575i | 0.832903 | − | 0.553418i | \(-0.186677\pi\) |
−0.999124 | + | 0.0418436i | \(0.986677\pi\) | |||||||
\(884\) | 19.5713 | − | 26.9375i | 0.0221394 | − | 0.0304723i | ||||
\(885\) | 575.848 | − | 1623.72i | 0.650676 | − | 1.83471i | ||||
\(886\) | −21.7722 | + | 15.8184i | −0.0245735 | + | 0.0178537i | ||||
\(887\) | −94.8558 | + | 130.558i | −0.106940 | + | 0.147190i | −0.859133 | − | 0.511753i | \(-0.828996\pi\) |
0.752193 | + | 0.658943i | \(0.228996\pi\) | |||||||
\(888\) | −0.00918637 | − | 0.0975779i | −1.03450e−5 | − | 0.000109885i | ||||
\(889\) | −549.600 | + | 399.308i | −0.618223 | + | 0.449165i | ||||
\(890\) | −43.3543 | − | 20.1291i | −0.0487127 | − | 0.0226170i | ||||
\(891\) | 62.6068 | − | 51.6326i | 0.0702658 | − | 0.0579490i | ||||
\(892\) | −108.825 | − | 334.929i | −0.122001 | − | 0.375481i | ||||
\(893\) | − | 628.725i | − | 0.704059i | ||||||
\(894\) | 62.3734 | + | 36.9196i | 0.0697689 | + | 0.0412971i | ||||
\(895\) | −47.6748 | + | 102.682i | −0.0532680 | + | 0.114729i | ||||
\(896\) | 251.557 | + | 81.7358i | 0.280755 | + | 0.0912230i | ||||
\(897\) | 77.6245 | − | 33.5561i | 0.0865379 | − | 0.0374092i | ||||
\(898\) | −77.4013 | + | 56.2353i | −0.0861930 | + | 0.0626229i | ||||
\(899\) | − | 1420.56i | − | 1.58016i | ||||||
\(900\) | −231.176 | − | 866.018i | −0.256862 | − | 0.962242i | ||||
\(901\) | 502.259 | 0.557447 | ||||||||
\(902\) | −3.30541 | − | 4.54951i | −0.00366453 | − | 0.00504380i | ||||
\(903\) | 438.905 | + | 1015.31i | 0.486052 | + | 1.12437i | ||||
\(904\) | −7.00849 | + | 21.5699i | −0.00775276 | + | 0.0238605i | ||||
\(905\) | 284.561 | − | 55.8021i | 0.314432 | − | 0.0616597i | ||||
\(906\) | 34.9241 | − | 59.0021i | 0.0385475 | − | 0.0651237i | ||||
\(907\) | −186.575 | −0.205705 | −0.102853 | − | 0.994697i | \(-0.532797\pi\) | ||||
−0.102853 | + | 0.994697i | \(0.532797\pi\) | |||||||
\(908\) | −889.697 | + | 289.080i | −0.979842 | + | 0.318370i | ||||
\(909\) | 566.779 | + | 533.053i | 0.623519 | + | 0.586417i | ||||
\(910\) | 3.60271 | + | 0.436304i | 0.00395902 | + | 0.000479455i | ||||
\(911\) | −249.309 | − | 343.145i | −0.273666 | − | 0.376668i | 0.649957 | − | 0.759971i | \(-0.274787\pi\) |
−0.923623 | + | 0.383302i | \(0.874787\pi\) | |||||||
\(912\) | −810.067 | + | 76.2628i | −0.888231 | + | 0.0836215i | ||||
\(913\) | 84.2307 | + | 61.1972i | 0.0922571 | + | 0.0670287i | ||||
\(914\) | 59.0126 | + | 81.2239i | 0.0645652 | + | 0.0888664i | ||||
\(915\) | −277.616 | + | 361.444i | −0.303406 | + | 0.395021i | ||||
\(916\) | −595.331 | − | 432.533i | −0.649925 | − | 0.472198i | ||||
\(917\) | −276.770 | + | 89.9282i | −0.301822 | + | 0.0980678i | ||||
\(918\) | 23.2191 | + | 34.2500i | 0.0252932 | + | 0.0373093i | ||||
\(919\) | 5.50213 | + | 16.9338i | 0.00598709 | + | 0.0184264i | 0.954005 | − | 0.299789i | \(-0.0969164\pi\) |
−0.948018 | + | 0.318216i | \(0.896916\pi\) | |||||||
\(920\) | −140.466 | + | 151.132i | −0.152680 | + | 0.164274i | ||||
\(921\) | −486.124 | − | 1124.54i | −0.527822 | − | 1.22100i | ||||
\(922\) | −15.4034 | + | 47.4067i | −0.0167065 | + | 0.0514172i | ||||
\(923\) | −25.9919 | − | 35.7747i | −0.0281602 | − | 0.0387592i | ||||
\(924\) | 64.7957 | + | 73.5527i | 0.0701252 | + | 0.0796025i | ||||
\(925\) | −0.517780 | − | 0.612933i | −0.000559762 | − | 0.000662631i | ||||
\(926\) | 7.32153i | 0.00790662i | ||||||||
\(927\) | −215.470 | − | 392.646i | −0.232438 | − | 0.423566i | ||||
\(928\) | 62.5677 | − | 192.563i | 0.0674221 | − | 0.207504i | ||||
\(929\) | 71.9207 | + | 23.3685i | 0.0774173 | + | 0.0251544i | 0.347470 | − | 0.937691i | \(-0.387041\pi\) |
−0.270052 | + | 0.962846i | \(0.587041\pi\) | |||||||
\(930\) | −27.2999 | + | 76.9773i | −0.0293547 | + | 0.0827713i | ||||
\(931\) | −95.5579 | − | 294.097i | −0.102640 | − | 0.315894i | ||||
\(932\) | 1121.17i | 1.20297i | ||||||||
\(933\) | −394.231 | + | 666.029i | −0.422541 | + | 0.713857i | ||||
\(934\) | −73.3264 | − | 53.2748i | −0.0785079 | − | 0.0570394i | ||||
\(935\) | −40.9915 | + | 44.1041i | −0.0438412 | + | 0.0471702i | ||||
\(936\) | 5.58475 | − | 3.06471i | 0.00596661 | − | 0.00327426i | ||||
\(937\) | −183.717 | − | 133.478i | −0.196069 | − | 0.142453i | 0.485419 | − | 0.874282i | \(-0.338667\pi\) |
−0.681488 | + | 0.731829i | \(0.738667\pi\) | |||||||
\(938\) | 44.9481 | − | 61.8657i | 0.0479191 | − | 0.0659549i | ||||
\(939\) | −10.5620 | + | 47.1673i | −0.0112481 | + | 0.0502315i | ||||
\(940\) | 534.568 | + | 496.841i | 0.568689 | + | 0.528554i | ||||
\(941\) | 597.760 | − | 822.746i | 0.635239 | − | 0.874331i | −0.363112 | − | 0.931746i | \(-0.618286\pi\) |
0.998350 | + | 0.0574144i | \(0.0182856\pi\) | |||||||
\(942\) | −1.83177 | + | 3.09467i | −0.00194456 | + | 0.00328521i | ||||
\(943\) | −1784.67 | −1.89255 | ||||||||
\(944\) | 1726.44 | − | 560.954i | 1.82885 | − | 0.594231i | ||||
\(945\) | 497.799 | − | 986.735i | 0.526772 | − | 1.04416i | ||||
\(946\) | 1.77778 | − | 5.47145i | 0.00187926 | − | 0.00578377i | ||||
\(947\) | 557.864 | + | 181.261i | 0.589086 | + | 0.191406i | 0.588367 | − | 0.808594i | \(-0.299771\pi\) |
0.000718908 | 1.00000i | \(0.499771\pi\) | ||||||||
\(948\) | 66.0001 | − | 294.741i | 0.0696204 | − | 0.310908i | ||||
\(949\) | −74.6901 | −0.0787040 | ||||||||
\(950\) | 41.7839 | − | 35.2973i | 0.0439831 | − | 0.0371550i | ||||
\(951\) | −287.031 | − | 325.823i | −0.301820 | − | 0.342611i | ||||
\(952\) | −81.0365 | + | 58.8764i | −0.0851223 | + | 0.0618450i | ||||
\(953\) | 671.032 | + | 218.032i | 0.704126 | + | 0.228784i | 0.639127 | − | 0.769101i | \(-0.279296\pi\) |
0.0649987 | + | 0.997885i | \(0.479296\pi\) | |||||||
\(954\) | 43.3699 | + | 20.4487i | 0.0454611 | + | 0.0214347i | ||||
\(955\) | 653.372 | + | 607.261i | 0.684159 | + | 0.635875i | ||||
\(956\) | −730.603 | + | 237.387i | −0.764229 | + | 0.248313i | ||||
\(957\) | 75.0199 | − | 66.0882i | 0.0783907 | − | 0.0690577i | ||||
\(958\) | −8.27663 | − | 25.4728i | −0.00863949 | − | 0.0265896i | ||||
\(959\) | −368.111 | + | 506.661i | −0.383848 | + | 0.528322i | ||||
\(960\) | 570.558 | − | 742.842i | 0.594332 | − | 0.773794i | ||||
\(961\) | −698.012 | + | 507.135i | −0.726339 | + | 0.527716i | ||||
\(962\) | 0.00167250 | − | 0.00230199i | 1.73856e−6 | − | 2.39292e-6i | ||||
\(963\) | −1122.76 | − | 1055.95i | −1.16590 | − | 1.09652i | ||||
\(964\) | −306.275 | + | 222.522i | −0.317712 | + | 0.230832i | ||||
\(965\) | 90.0459 | − | 743.538i | 0.0933118 | − | 0.770506i | ||||
\(966\) | −126.384 | + | 11.8983i | −0.130832 | + | 0.0123171i | ||||
\(967\) | −72.7038 | − | 223.759i | −0.0751849 | − | 0.231395i | 0.906400 | − | 0.422419i | \(-0.138819\pi\) |
−0.981585 | + | 0.191024i | \(0.938819\pi\) | |||||||
\(968\) | 122.147i | 0.126185i | ||||||||
\(969\) | 315.189 | − | 532.494i | 0.325273 | − | 0.549529i | ||||
\(970\) | −10.1126 | − | 51.5688i | −0.0104253 | − | 0.0531637i | ||||
\(971\) | −1108.13 | − | 360.055i | −1.14123 | − | 0.370808i | −0.323397 | − | 0.946263i | \(-0.604825\pi\) |
−0.817833 | + | 0.575455i | \(0.804825\pi\) | |||||||
\(972\) | −149.617 | − | 956.418i | −0.153927 | − | 0.983969i | ||||
\(973\) | −1651.35 | + | 1199.77i | −1.69717 | + | 1.23307i | ||||
\(974\) | − | 44.0586i | − | 0.0452347i | ||||||
\(975\) | 23.2146 | − | 46.6998i | 0.0238099 | − | 0.0478972i | ||||
\(976\) | −480.219 | −0.492028 | ||||||||
\(977\) | −535.926 | − | 737.639i | −0.548543 | − | 0.755004i | 0.441271 | − | 0.897374i | \(-0.354528\pi\) |
−0.989814 | + | 0.142370i | \(0.954528\pi\) | |||||||
\(978\) | 44.0886 | − | 19.0589i | 0.0450804 | − | 0.0194877i | ||||
\(979\) | 23.2132 | − | 71.4429i | 0.0237111 | − | 0.0729754i | ||||
\(980\) | 325.567 | + | 151.159i | 0.332211 | + | 0.154243i | ||||
\(981\) | −652.151 | + | 123.890i | −0.664781 | + | 0.126290i | ||||
\(982\) | 20.5691 | 0.0209461 | ||||||||
\(983\) | 1260.21 | − | 409.466i | 1.28200 | − | 0.416547i | 0.412715 | − | 0.910860i | \(-0.364580\pi\) |
0.869284 | + | 0.494313i | \(0.164580\pi\) | |||||||
\(984\) | −133.847 | + | 12.6009i | −0.136023 | + | 0.0128057i | ||||
\(985\) | −530.791 | + | 1143.22i | −0.538874 | + | 1.16063i | ||||
\(986\) | 29.9643 | + | 41.2424i | 0.0303898 | + | 0.0418279i | ||||
\(987\) | 84.3424 | + | 895.888i | 0.0854533 | + | 0.907688i | ||||
\(988\) | −38.4566 | − | 27.9404i | −0.0389237 | − | 0.0282797i | ||||
\(989\) | −1073.17 | − | 1477.09i | −1.08510 | − | 1.49351i | ||||
\(990\) | −5.33523 | + | 2.13948i | −0.00538912 | + | 0.00216109i | ||||
\(991\) | 67.0319 | + | 48.7016i | 0.0676407 | + | 0.0491438i | 0.621092 | − | 0.783738i | \(-0.286689\pi\) |
−0.553451 | + | 0.832882i | \(0.686689\pi\) | |||||||
\(992\) | −247.222 | + | 80.3274i | −0.249216 | + | 0.0809752i | ||||
\(993\) | 73.6801 | − | 64.9080i | 0.0741995 | − | 0.0653655i | ||||
\(994\) | 20.5120 | + | 63.1295i | 0.0206358 | + | 0.0635106i | ||||
\(995\) | −9.48327 | + | 78.3065i | −0.00953093 | + | 0.0787000i | ||||
\(996\) | 1140.02 | − | 492.816i | 1.14460 | − | 0.494796i | ||||
\(997\) | −239.774 | + | 737.949i | −0.240496 | + | 0.740169i | 0.755849 | + | 0.654746i | \(0.227224\pi\) |
−0.996345 | + | 0.0854235i | \(0.972776\pi\) | |||||||
\(998\) | 50.1921 | + | 69.0834i | 0.0502926 | + | 0.0692219i | ||||
\(999\) | −0.486255 | − | 0.717262i | −0.000486741 | − | 0.000717980i |
(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 | 75.3.j.a.11.9 | ✓ | 72 | |
3.2 | odd | 2 | inner | 75.3.j.a.11.10 | yes | 72 | |
5.2 | odd | 4 | 375.3.h.b.74.20 | 144 | |||
5.3 | odd | 4 | 375.3.h.b.74.17 | 144 | |||
5.4 | even | 2 | 375.3.j.a.176.10 | 72 | |||
15.2 | even | 4 | 375.3.h.b.74.18 | 144 | |||
15.8 | even | 4 | 375.3.h.b.74.19 | 144 | |||
15.14 | odd | 2 | 375.3.j.a.176.9 | 72 | |||
25.9 | even | 10 | 375.3.j.a.326.9 | 72 | |||
25.12 | odd | 20 | 375.3.h.b.299.19 | 144 | |||
25.13 | odd | 20 | 375.3.h.b.299.18 | 144 | |||
25.16 | even | 5 | inner | 75.3.j.a.41.10 | yes | 72 | |
75.38 | even | 20 | 375.3.h.b.299.20 | 144 | |||
75.41 | odd | 10 | inner | 75.3.j.a.41.9 | yes | 72 | |
75.59 | odd | 10 | 375.3.j.a.326.10 | 72 | |||
75.62 | even | 20 | 375.3.h.b.299.17 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
75.3.j.a.11.9 | ✓ | 72 | 1.1 | even | 1 | trivial | |
75.3.j.a.11.10 | yes | 72 | 3.2 | odd | 2 | inner | |
75.3.j.a.41.9 | yes | 72 | 75.41 | odd | 10 | inner | |
75.3.j.a.41.10 | yes | 72 | 25.16 | even | 5 | inner | |
375.3.h.b.74.17 | 144 | 5.3 | odd | 4 | |||
375.3.h.b.74.18 | 144 | 15.2 | even | 4 | |||
375.3.h.b.74.19 | 144 | 15.8 | even | 4 | |||
375.3.h.b.74.20 | 144 | 5.2 | odd | 4 | |||
375.3.h.b.299.17 | 144 | 75.62 | even | 20 | |||
375.3.h.b.299.18 | 144 | 25.13 | odd | 20 | |||
375.3.h.b.299.19 | 144 | 25.12 | odd | 20 | |||
375.3.h.b.299.20 | 144 | 75.38 | even | 20 | |||
375.3.j.a.176.9 | 72 | 15.14 | odd | 2 | |||
375.3.j.a.176.10 | 72 | 5.4 | even | 2 | |||
375.3.j.a.326.9 | 72 | 25.9 | even | 10 | |||
375.3.j.a.326.10 | 72 | 75.59 | odd | 10 |