Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,6,Mod(4,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.4");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.e (of order \(7\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.89650425196\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 4.12 | ||
Character | \(\chi\) | \(=\) | 43.4 |
Dual form | 43.6.e.a.11.12 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{7}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.97079 | − | 2.47129i | 0.348390 | − | 0.436867i | −0.576503 | − | 0.817095i | \(-0.695583\pi\) |
0.924893 | + | 0.380228i | \(0.124154\pi\) | |||||||
\(3\) | −9.09722 | − | 11.4076i | −0.583587 | − | 0.731795i | 0.399133 | − | 0.916893i | \(-0.369311\pi\) |
−0.982720 | + | 0.185098i | \(0.940740\pi\) | |||||||
\(4\) | 4.89739 | + | 21.4569i | 0.153044 | + | 0.670528i | ||||
\(5\) | 83.4030 | + | 40.1648i | 1.49196 | + | 0.718490i | 0.989286 | − | 0.145987i | \(-0.0466359\pi\) |
0.502672 | + | 0.864477i | \(0.332350\pi\) | |||||||
\(6\) | −46.1201 | −0.523013 | ||||||||
\(7\) | −19.6284 | −0.151404 | −0.0757022 | − | 0.997130i | \(-0.524120\pi\) | ||||
−0.0757022 | + | 0.997130i | \(0.524120\pi\) | |||||||
\(8\) | 153.810 | + | 74.0710i | 0.849688 | + | 0.409188i | ||||
\(9\) | 6.69973 | − | 29.3534i | 0.0275709 | − | 0.120796i | ||||
\(10\) | 263.629 | − | 126.957i | 0.833668 | − | 0.401473i | ||||
\(11\) | 126.479 | − | 554.139i | 0.315163 | − | 1.38082i | −0.530763 | − | 0.847520i | \(-0.678095\pi\) |
0.845926 | − | 0.533300i | \(-0.179048\pi\) | |||||||
\(12\) | 200.218 | − | 251.065i | 0.401375 | − | 0.503308i | ||||
\(13\) | 556.520 | + | 268.006i | 0.913319 | + | 0.439831i | 0.830681 | − | 0.556748i | \(-0.187951\pi\) |
0.0826379 | + | 0.996580i | \(0.473665\pi\) | |||||||
\(14\) | −38.6834 | + | 48.5074i | −0.0527478 | + | 0.0661436i | ||||
\(15\) | −300.554 | − | 1316.81i | −0.344901 | − | 1.51111i | ||||
\(16\) | −148.354 | + | 71.4435i | −0.144877 | + | 0.0697691i | ||||
\(17\) | −311.046 | + | 149.792i | −0.261037 | + | 0.125709i | −0.559825 | − | 0.828611i | \(-0.689132\pi\) |
0.298788 | + | 0.954319i | \(0.403418\pi\) | |||||||
\(18\) | −59.3372 | − | 74.4065i | −0.0431664 | − | 0.0541289i | ||||
\(19\) | 681.631 | + | 2986.42i | 0.433177 | + | 1.89787i | 0.440204 | + | 0.897898i | \(0.354906\pi\) |
−0.00702723 | + | 0.999975i | \(0.502237\pi\) | |||||||
\(20\) | −453.354 | + | 1986.27i | −0.253432 | + | 1.11036i | ||||
\(21\) | 178.563 | + | 223.911i | 0.0883577 | + | 0.110797i | ||||
\(22\) | −1120.18 | − | 1404.66i | −0.493435 | − | 0.618748i | ||||
\(23\) | 1112.17 | − | 4872.72i | 0.438379 | − | 1.92066i | 0.0511229 | − | 0.998692i | \(-0.483720\pi\) |
0.387256 | − | 0.921972i | \(-0.373423\pi\) | |||||||
\(24\) | −554.275 | − | 2428.44i | −0.196425 | − | 0.860595i | ||||
\(25\) | 3394.45 | + | 4256.51i | 1.08622 | + | 1.36208i | ||||
\(26\) | 1759.11 | − | 847.141i | 0.510339 | − | 0.245766i | ||||
\(27\) | −3590.24 | + | 1728.97i | −0.947796 | + | 0.456434i | ||||
\(28\) | −96.1278 | − | 421.163i | −0.0231715 | − | 0.101521i | ||||
\(29\) | −494.258 | + | 619.780i | −0.109134 | + | 0.136849i | −0.833398 | − | 0.552673i | \(-0.813608\pi\) |
0.724265 | + | 0.689522i | \(0.242179\pi\) | |||||||
\(30\) | −3846.56 | − | 1852.41i | −0.780314 | − | 0.375779i | ||||
\(31\) | 1526.28 | − | 1913.90i | 0.285254 | − | 0.357697i | −0.618474 | − | 0.785806i | \(-0.712249\pi\) |
0.903727 | + | 0.428109i | \(0.140820\pi\) | |||||||
\(32\) | −1331.43 | + | 5833.38i | −0.229850 | + | 1.00704i | ||||
\(33\) | −7471.97 | + | 3598.31i | −1.19440 | + | 0.575194i | ||||
\(34\) | −242.827 | + | 1063.89i | −0.0360246 | + | 0.157834i | ||||
\(35\) | −1637.06 | − | 788.369i | −0.225889 | − | 0.108783i | ||||
\(36\) | 662.644 | 0.0852166 | ||||||||
\(37\) | −11541.9 | −1.38603 | −0.693015 | − | 0.720924i | \(-0.743718\pi\) | ||||
−0.693015 | + | 0.720924i | \(0.743718\pi\) | |||||||
\(38\) | 8723.68 | + | 4201.10i | 0.980033 | + | 0.471959i | ||||
\(39\) | −2005.49 | − | 8786.64i | −0.211135 | − | 0.925042i | ||||
\(40\) | 9853.18 | + | 12355.5i | 0.973703 | + | 1.22098i | ||||
\(41\) | −2268.39 | + | 2844.47i | −0.210746 | + | 0.264267i | −0.875958 | − | 0.482388i | \(-0.839770\pi\) |
0.665212 | + | 0.746654i | \(0.268341\pi\) | |||||||
\(42\) | 905.262 | 0.0791865 | ||||||||
\(43\) | −9959.33 | − | 6915.22i | −0.821408 | − | 0.570341i | ||||
\(44\) | 12509.5 | 0.974112 | ||||||||
\(45\) | 1737.75 | − | 2179.07i | 0.127925 | − | 0.160413i | ||||
\(46\) | −9850.07 | − | 12351.6i | −0.686348 | − | 0.860654i | ||||
\(47\) | −403.647 | − | 1768.49i | −0.0266536 | − | 0.116777i | 0.959851 | − | 0.280510i | \(-0.0905036\pi\) |
−0.986505 | + | 0.163733i | \(0.947646\pi\) | |||||||
\(48\) | 2164.61 | + | 1042.42i | 0.135605 | + | 0.0653039i | ||||
\(49\) | −16421.7 | −0.977077 | ||||||||
\(50\) | 17208.8 | 0.973478 | ||||||||
\(51\) | 4538.41 | + | 2185.58i | 0.244331 | + | 0.117664i | ||||
\(52\) | −3025.08 | + | 13253.7i | −0.155141 | + | 0.679719i | ||||
\(53\) | −3972.93 | + | 1913.26i | −0.194277 | + | 0.0935587i | −0.528493 | − | 0.848938i | \(-0.677243\pi\) |
0.334216 | + | 0.942496i | \(0.391528\pi\) | |||||||
\(54\) | −2802.83 | + | 12280.0i | −0.130801 | + | 0.573078i | ||||
\(55\) | 32805.6 | − | 41136.9i | 1.46231 | − | 1.83368i | ||||
\(56\) | −3019.04 | − | 1453.89i | −0.128647 | − | 0.0619530i | ||||
\(57\) | 27866.8 | − | 34943.9i | 1.13606 | − | 1.42457i | ||||
\(58\) | 557.579 | + | 2442.91i | 0.0217639 | + | 0.0953539i | ||||
\(59\) | −9224.60 | + | 4442.33i | −0.344999 | + | 0.166143i | −0.598356 | − | 0.801230i | \(-0.704179\pi\) |
0.253358 | + | 0.967373i | \(0.418465\pi\) | |||||||
\(60\) | 26782.8 | − | 12897.9i | 0.960456 | − | 0.462531i | ||||
\(61\) | 13045.0 | + | 16357.9i | 0.448867 | + | 0.562862i | 0.953856 | − | 0.300264i | \(-0.0970748\pi\) |
−0.504989 | + | 0.863126i | \(0.668503\pi\) | |||||||
\(62\) | −1721.82 | − | 7543.79i | −0.0568864 | − | 0.249236i | ||||
\(63\) | −131.505 | + | 576.159i | −0.00417436 | + | 0.0182891i | ||||
\(64\) | 8506.77 | + | 10667.2i | 0.259606 | + | 0.325536i | ||||
\(65\) | 35651.1 | + | 44705.0i | 1.04662 | + | 1.31242i | ||||
\(66\) | −5833.21 | + | 25557.0i | −0.164834 | + | 0.722187i | ||||
\(67\) | −7469.34 | − | 32725.3i | −0.203280 | − | 0.890629i | −0.968923 | − | 0.247363i | \(-0.920436\pi\) |
0.765643 | − | 0.643266i | \(-0.222421\pi\) | |||||||
\(68\) | −4737.38 | − | 5940.48i | −0.124241 | − | 0.155794i | ||||
\(69\) | −65703.4 | + | 31641.1i | −1.66136 | + | 0.800071i | ||||
\(70\) | −5174.60 | + | 2491.96i | −0.126221 | + | 0.0607849i | ||||
\(71\) | −1479.38 | − | 6481.60i | −0.0348285 | − | 0.152594i | 0.954524 | − | 0.298135i | \(-0.0963647\pi\) |
−0.989352 | + | 0.145542i | \(0.953508\pi\) | |||||||
\(72\) | 3204.72 | − | 4018.60i | 0.0728550 | − | 0.0913573i | ||||
\(73\) | 29621.2 | + | 14264.8i | 0.650573 | + | 0.313299i | 0.729905 | − | 0.683549i | \(-0.239564\pi\) |
−0.0793319 | + | 0.996848i | \(0.525279\pi\) | |||||||
\(74\) | −22746.6 | + | 28523.4i | −0.482879 | + | 0.605511i | ||||
\(75\) | 17676.3 | − | 77444.8i | 0.362858 | − | 1.58979i | ||||
\(76\) | −60741.1 | + | 29251.4i | −1.20628 | + | 0.580915i | ||||
\(77\) | −2482.57 | + | 10876.8i | −0.0477171 | + | 0.209062i | ||||
\(78\) | −25666.8 | − | 12360.5i | −0.477678 | − | 0.230037i | ||||
\(79\) | −52745.8 | −0.950867 | −0.475434 | − | 0.879752i | \(-0.657709\pi\) | ||||
−0.475434 | + | 0.879752i | \(0.657709\pi\) | |||||||
\(80\) | −15242.7 | −0.266279 | ||||||||
\(81\) | 45792.8 | + | 22052.6i | 0.775505 | + | 0.373464i | ||||
\(82\) | 2559.00 | + | 11211.7i | 0.0420278 | + | 0.184136i | ||||
\(83\) | −36581.0 | − | 45871.1i | −0.582855 | − | 0.730877i | 0.399742 | − | 0.916628i | \(-0.369100\pi\) |
−0.982597 | + | 0.185751i | \(0.940528\pi\) | |||||||
\(84\) | −3929.95 | + | 4928.00i | −0.0607699 | + | 0.0762030i | ||||
\(85\) | −31958.5 | −0.479777 | ||||||||
\(86\) | −36717.3 | + | 10984.0i | −0.535334 | + | 0.160145i | ||||
\(87\) | 11566.6 | 0.163835 | ||||||||
\(88\) | 60499.3 | − | 75863.7i | 0.832806 | − | 1.04431i | ||||
\(89\) | −27405.9 | − | 34366.0i | −0.366750 | − | 0.459889i | 0.563877 | − | 0.825858i | \(-0.309309\pi\) |
−0.930627 | + | 0.365969i | \(0.880738\pi\) | |||||||
\(90\) | −1960.38 | − | 8588.99i | −0.0255114 | − | 0.111773i | ||||
\(91\) | −10923.6 | − | 5260.52i | −0.138281 | − | 0.0665924i | ||||
\(92\) | 110000. | 1.35495 | ||||||||
\(93\) | −35717.8 | −0.428231 | ||||||||
\(94\) | −5165.96 | − | 2487.80i | −0.0603020 | − | 0.0290399i | ||||
\(95\) | −63098.9 | + | 276454.i | −0.717319 | + | 3.14278i | ||||
\(96\) | 78656.9 | − | 37879.2i | 0.871082 | − | 0.419491i | ||||
\(97\) | 9296.13 | − | 40729.0i | 0.100317 | − | 0.439516i | −0.899679 | − | 0.436552i | \(-0.856199\pi\) |
0.999996 | − | 0.00296364i | \(-0.000943357\pi\) | |||||||
\(98\) | −32363.8 | + | 40582.9i | −0.340404 | + | 0.426853i | ||||
\(99\) | −15418.5 | − | 7425.16i | −0.158108 | − | 0.0761409i | ||||
\(100\) | −74707.4 | + | 93680.1i | −0.747074 | + | 0.936801i | ||||
\(101\) | −35982.8 | − | 157651.i | −0.350987 | − | 1.53777i | −0.774907 | − | 0.632075i | \(-0.782204\pi\) |
0.423921 | − | 0.905699i | \(-0.360654\pi\) | |||||||
\(102\) | 14345.5 | − | 6908.42i | 0.136526 | − | 0.0657473i | ||||
\(103\) | −43784.1 | + | 21085.3i | −0.406652 | + | 0.195833i | −0.626017 | − | 0.779809i | \(-0.715316\pi\) |
0.219364 | + | 0.975643i | \(0.429602\pi\) | |||||||
\(104\) | 65746.9 | + | 82444.0i | 0.596063 | + | 0.747439i | ||||
\(105\) | 5899.38 | + | 25846.9i | 0.0522195 | + | 0.228789i | ||||
\(106\) | −3101.58 | + | 13588.9i | −0.0268113 | + | 0.117468i | ||||
\(107\) | 116372. | + | 145925.i | 0.982624 | + | 1.23217i | 0.972663 | + | 0.232221i | \(0.0745993\pi\) |
0.00996112 | + | 0.999950i | \(0.496829\pi\) | |||||||
\(108\) | −54681.2 | − | 68568.0i | −0.451106 | − | 0.565669i | ||||
\(109\) | −25043.4 | + | 109722.i | −0.201896 | + | 0.884562i | 0.767886 | + | 0.640587i | \(0.221309\pi\) |
−0.969781 | + | 0.243976i | \(0.921548\pi\) | |||||||
\(110\) | −37008.4 | − | 162144.i | −0.291621 | − | 1.27767i | ||||
\(111\) | 104999. | + | 131665.i | 0.808869 | + | 1.01429i | ||||
\(112\) | 2911.94 | − | 1402.32i | 0.0219350 | − | 0.0105634i | ||||
\(113\) | 82153.4 | − | 39563.0i | 0.605242 | − | 0.291469i | −0.106055 | − | 0.994360i | \(-0.533822\pi\) |
0.711298 | + | 0.702891i | \(0.248108\pi\) | |||||||
\(114\) | −31436.9 | − | 137734.i | −0.226557 | − | 0.992612i | ||||
\(115\) | 288470. | − | 361729.i | 2.03402 | − | 2.55058i | ||||
\(116\) | −15719.1 | − | 7569.94i | −0.108463 | − | 0.0522333i | ||||
\(117\) | 11595.4 | − | 14540.2i | 0.0783109 | − | 0.0981988i | ||||
\(118\) | −7201.45 | + | 31551.6i | −0.0476118 | + | 0.208601i | ||||
\(119\) | 6105.32 | − | 2940.17i | 0.0395222 | − | 0.0190329i | ||||
\(120\) | 51309.4 | − | 224801.i | 0.325270 | − | 1.42510i | ||||
\(121\) | −145971. | − | 70296.0i | −0.906367 | − | 0.436483i | ||||
\(122\) | 66134.0 | 0.402277 | ||||||||
\(123\) | 53084.5 | 0.316377 | ||||||||
\(124\) | 48541.1 | + | 23376.2i | 0.283502 | + | 0.136527i | ||||
\(125\) | 47774.4 | + | 209313.i | 0.273477 | + | 1.19818i | ||||
\(126\) | 1164.69 | + | 1460.48i | 0.00653558 | + | 0.00819536i | ||||
\(127\) | 77140.4 | − | 96731.0i | 0.424397 | − | 0.532178i | −0.522959 | − | 0.852358i | \(-0.675172\pi\) |
0.947357 | + | 0.320180i | \(0.103743\pi\) | |||||||
\(128\) | −148342. | −0.800275 | ||||||||
\(129\) | 11716.4 | + | 176521.i | 0.0619899 | + | 0.933946i | ||||
\(130\) | 180740. | 0.937985 | ||||||||
\(131\) | −144698. | + | 181446.i | −0.736690 | + | 0.923779i | −0.999152 | − | 0.0411626i | \(-0.986894\pi\) |
0.262463 | + | 0.964942i | \(0.415465\pi\) | |||||||
\(132\) | −113802. | − | 142703.i | −0.568479 | − | 0.712850i | ||||
\(133\) | −13379.3 | − | 58618.5i | −0.0655850 | − | 0.287346i | ||||
\(134\) | −95594.4 | − | 46035.8i | −0.459907 | − | 0.221480i | ||||
\(135\) | −368881. | −1.74202 | ||||||||
\(136\) | −58937.2 | −0.273239 | ||||||||
\(137\) | 290157. | + | 139732.i | 1.32078 | + | 0.636056i | 0.955541 | − | 0.294857i | \(-0.0952720\pi\) |
0.365242 | + | 0.930913i | \(0.380986\pi\) | |||||||
\(138\) | −51293.2 | + | 224730.i | −0.229278 | + | 1.00453i | ||||
\(139\) | 51128.1 | − | 24622.0i | 0.224451 | − | 0.108090i | −0.318279 | − | 0.947997i | \(-0.603105\pi\) |
0.542730 | + | 0.839907i | \(0.317391\pi\) | |||||||
\(140\) | 8898.59 | − | 38987.2i | 0.0383708 | − | 0.168113i | ||||
\(141\) | −16502.1 | + | 20693.0i | −0.0699023 | + | 0.0876547i | ||||
\(142\) | −18933.5 | − | 9117.89i | −0.0787970 | − | 0.0379466i | ||||
\(143\) | 218900. | − | 274493.i | 0.895172 | − | 1.12251i | ||||
\(144\) | 1103.18 | + | 4833.35i | 0.00443344 | + | 0.0194242i | ||||
\(145\) | −66116.0 | + | 31839.8i | −0.261148 | + | 0.125762i | ||||
\(146\) | 93629.8 | − | 45089.8i | 0.363523 | − | 0.175064i | ||||
\(147\) | 149392. | + | 187332.i | 0.570209 | + | 0.715020i | ||||
\(148\) | −56525.2 | − | 247653.i | −0.212123 | − | 0.929371i | ||||
\(149\) | −77958.3 | + | 341558.i | −0.287671 | + | 1.26037i | 0.600040 | + | 0.799970i | \(0.295151\pi\) |
−0.887711 | + | 0.460401i | \(0.847706\pi\) | |||||||
\(150\) | −156553. | − | 196311.i | −0.568109 | − | 0.712387i | ||||
\(151\) | −163319. | − | 204796.i | −0.582901 | − | 0.730935i | 0.399704 | − | 0.916644i | \(-0.369113\pi\) |
−0.982605 | + | 0.185710i | \(0.940542\pi\) | |||||||
\(152\) | −116366. | + | 509831.i | −0.408522 | + | 1.78985i | ||||
\(153\) | 2312.98 | + | 10133.8i | 0.00798809 | + | 0.0349981i | ||||
\(154\) | 21987.2 | + | 27571.1i | 0.0747083 | + | 0.0936812i | ||||
\(155\) | 204168. | − | 98322.1i | 0.682588 | − | 0.328717i | ||||
\(156\) | 178712. | − | 86063.3i | 0.587954 | − | 0.283144i | ||||
\(157\) | −60483.2 | − | 264994.i | −0.195833 | − | 0.858001i | −0.973384 | − | 0.229181i | \(-0.926395\pi\) |
0.777551 | − | 0.628820i | \(-0.216462\pi\) | |||||||
\(158\) | −103951. | + | 130350.i | −0.331273 | + | 0.415403i | ||||
\(159\) | 57968.2 | + | 27916.0i | 0.181843 | + | 0.0875710i | ||||
\(160\) | −345342. | + | 433045.i | −1.06647 | + | 1.33731i | ||||
\(161\) | −21830.0 | + | 95643.4i | −0.0663726 | + | 0.290797i | ||||
\(162\) | 144747. | − | 69706.3i | 0.433332 | − | 0.208682i | ||||
\(163\) | −8901.17 | + | 38998.6i | −0.0262409 | + | 0.114969i | −0.986352 | − | 0.164649i | \(-0.947351\pi\) |
0.960111 | + | 0.279618i | \(0.0902079\pi\) | |||||||
\(164\) | −72142.8 | − | 34742.1i | −0.209451 | − | 0.100866i | ||||
\(165\) | −767711. | −2.19527 | ||||||||
\(166\) | −185455. | −0.522357 | ||||||||
\(167\) | 392151. | + | 188850.i | 1.08808 | + | 0.523994i | 0.889893 | − | 0.456170i | \(-0.150779\pi\) |
0.198191 | + | 0.980163i | \(0.436493\pi\) | |||||||
\(168\) | 10879.5 | + | 47666.2i | 0.0297396 | + | 0.130298i | ||||
\(169\) | 6390.15 | + | 8013.00i | 0.0172105 | + | 0.0215813i | ||||
\(170\) | −62983.6 | + | 78978.9i | −0.167149 | + | 0.209599i | ||||
\(171\) | 92228.5 | 0.241199 | ||||||||
\(172\) | 99604.4 | − | 247563.i | 0.256719 | − | 0.638064i | ||||
\(173\) | 221697. | 0.563177 | 0.281588 | − | 0.959535i | \(-0.409139\pi\) | ||||
0.281588 | + | 0.959535i | \(0.409139\pi\) | |||||||
\(174\) | 22795.3 | − | 28584.3i | 0.0570783 | − | 0.0715740i | ||||
\(175\) | −66627.5 | − | 83548.2i | −0.164459 | − | 0.206225i | ||||
\(176\) | 20826.0 | + | 91244.8i | 0.0506786 | + | 0.222038i | ||||
\(177\) | 134594. | + | 64817.2i | 0.322919 | + | 0.155510i | ||||
\(178\) | −138940. | −0.328682 | ||||||||
\(179\) | −303880. | −0.708876 | −0.354438 | − | 0.935080i | \(-0.615328\pi\) | ||||
−0.354438 | + | 0.935080i | \(0.615328\pi\) | |||||||
\(180\) | 55266.6 | + | 26615.0i | 0.127140 | + | 0.0612272i | ||||
\(181\) | −27198.6 | + | 119165.i | −0.0617092 | + | 0.270366i | −0.996365 | − | 0.0851885i | \(-0.972851\pi\) |
0.934656 | + | 0.355554i | \(0.115708\pi\) | |||||||
\(182\) | −34528.4 | + | 16628.0i | −0.0772676 | + | 0.0372101i | ||||
\(183\) | 67930.3 | − | 297622.i | 0.149946 | − | 0.656958i | ||||
\(184\) | 531989. | − | 667093.i | 1.15840 | − | 1.45259i | ||||
\(185\) | −962628. | − | 463577.i | −2.06790 | − | 0.995847i | ||||
\(186\) | −70392.4 | + | 88269.3i | −0.149191 | + | 0.187080i | ||||
\(187\) | 43664.8 | + | 191308.i | 0.0913119 | + | 0.400064i | ||||
\(188\) | 35969.5 | − | 17322.0i | 0.0742232 | − | 0.0357440i | ||||
\(189\) | 70470.6 | − | 33936.8i | 0.143500 | − | 0.0691062i | ||||
\(190\) | 558845. | + | 700769.i | 1.12307 | + | 1.40829i | ||||
\(191\) | −7348.60 | − | 32196.3i | −0.0145754 | − | 0.0638591i | 0.967117 | − | 0.254331i | \(-0.0818553\pi\) |
−0.981693 | + | 0.190472i | \(0.938998\pi\) | |||||||
\(192\) | 44298.1 | − | 194083.i | 0.0867226 | − | 0.379957i | ||||
\(193\) | 274927. | + | 344748.i | 0.531281 | + | 0.666205i | 0.972962 | − | 0.230967i | \(-0.0741890\pi\) |
−0.441681 | + | 0.897172i | \(0.645618\pi\) | |||||||
\(194\) | −82332.6 | − | 103242.i | −0.157061 | − | 0.196948i | ||||
\(195\) | 185649. | − | 813383.i | 0.349629 | − | 1.53182i | ||||
\(196\) | −80423.7 | − | 352359.i | −0.149535 | − | 0.655157i | ||||
\(197\) | −43814.2 | − | 54941.3i | −0.0804358 | − | 0.100863i | 0.739985 | − | 0.672623i | \(-0.234832\pi\) |
−0.820421 | + | 0.571760i | \(0.806261\pi\) | |||||||
\(198\) | −48736.4 | + | 23470.2i | −0.0883468 | + | 0.0425456i | ||||
\(199\) | 807968. | − | 389097.i | 1.44631 | − | 0.696507i | 0.464361 | − | 0.885646i | \(-0.346284\pi\) |
0.981950 | + | 0.189140i | \(0.0605699\pi\) | |||||||
\(200\) | 206817. | + | 906124.i | 0.365604 | + | 1.60182i | ||||
\(201\) | −305366. | + | 382916.i | −0.533126 | + | 0.668519i | ||||
\(202\) | −460516. | − | 221773.i | −0.794083 | − | 0.382410i | ||||
\(203\) | 9701.48 | − | 12165.3i | 0.0165233 | − | 0.0207196i | ||||
\(204\) | −24669.4 | + | 108084.i | −0.0415034 | + | 0.181838i | ||||
\(205\) | −303438. | + | 146128.i | −0.504297 | + | 0.242856i | ||||
\(206\) | −34181.3 | + | 149758.i | −0.0561204 | + | 0.245880i | ||||
\(207\) | −135580. | − | 65291.8i | −0.219922 | − | 0.105909i | ||||
\(208\) | −101709. | −0.163006 | ||||||||
\(209\) | 1.74110e6 | 2.75714 | ||||||||
\(210\) | 75501.6 | + | 36359.7i | 0.118143 | + | 0.0568947i | ||||
\(211\) | 148293. | + | 649714.i | 0.229305 | + | 1.00465i | 0.950208 | + | 0.311616i | \(0.100870\pi\) |
−0.720903 | + | 0.693036i | \(0.756272\pi\) | |||||||
\(212\) | −60509.6 | − | 75876.6i | −0.0924665 | − | 0.115949i | ||||
\(213\) | −60480.9 | + | 75840.7i | −0.0913418 | + | 0.114539i | ||||
\(214\) | 589968. | 0.880632 | ||||||||
\(215\) | −552890. | − | 976765.i | −0.815722 | − | 1.44110i | ||||
\(216\) | −680282. | −0.992098 | ||||||||
\(217\) | −29958.4 | + | 37566.7i | −0.0431887 | + | 0.0541569i | ||||
\(218\) | 221801. | + | 278129.i | 0.316098 | + | 0.396374i | ||||
\(219\) | −106744. | − | 467676.i | −0.150395 | − | 0.658923i | ||||
\(220\) | 1.04333e6 | + | 502442.i | 1.45333 | + | 0.699889i | ||||
\(221\) | −213248. | −0.293701 | ||||||||
\(222\) | 532313. | 0.724911 | ||||||||
\(223\) | −266622. | − | 128398.i | −0.359032 | − | 0.172901i | 0.245668 | − | 0.969354i | \(-0.420993\pi\) |
−0.604700 | + | 0.796453i | \(0.706707\pi\) | |||||||
\(224\) | 26133.8 | − | 114500.i | 0.0348003 | − | 0.152470i | ||||
\(225\) | 147685. | − | 71121.3i | 0.194482 | − | 0.0936577i | ||||
\(226\) | 64135.4 | − | 280995.i | 0.0835269 | − | 0.365955i | ||||
\(227\) | 127053. | − | 159319.i | 0.163652 | − | 0.205213i | −0.693244 | − | 0.720703i | \(-0.743819\pi\) |
0.856895 | + | 0.515491i | \(0.172390\pi\) | |||||||
\(228\) | 886262. | + | 426801.i | 1.12908 | + | 0.543736i | ||||
\(229\) | −702929. | + | 881445.i | −0.885773 | + | 1.11072i | 0.107416 | + | 0.994214i | \(0.465742\pi\) |
−0.993189 | + | 0.116510i | \(0.962829\pi\) | |||||||
\(230\) | −325426. | − | 1.42579e6i | −0.405633 | − | 1.77719i | ||||
\(231\) | 146663. | − | 70629.0i | 0.180838 | − | 0.0870869i | ||||
\(232\) | −121930. | + | 58718.2i | −0.148727 | + | 0.0716231i | ||||
\(233\) | −626233. | − | 785272.i | −0.755695 | − | 0.947611i | 0.244060 | − | 0.969760i | \(-0.421521\pi\) |
−0.999755 | + | 0.0221488i | \(0.992949\pi\) | |||||||
\(234\) | −13081.0 | − | 57311.4i | −0.0156171 | − | 0.0684229i | ||||
\(235\) | 37365.7 | − | 163710.i | 0.0441371 | − | 0.193377i | ||||
\(236\) | −140495. | − | 176175.i | −0.164203 | − | 0.205904i | ||||
\(237\) | 479840. | + | 601700.i | 0.554914 | + | 0.695840i | ||||
\(238\) | 4766.29 | − | 20882.5i | 0.00545429 | − | 0.0238968i | ||||
\(239\) | −154702. | − | 677792.i | −0.175186 | − | 0.767541i | −0.983810 | − | 0.179215i | \(-0.942644\pi\) |
0.808624 | − | 0.588326i | \(-0.200213\pi\) | |||||||
\(240\) | 138666. | + | 173882.i | 0.155397 | + | 0.194861i | ||||
\(241\) | −232619. | + | 112023.i | −0.257990 | + | 0.124241i | −0.558409 | − | 0.829566i | \(-0.688588\pi\) |
0.300419 | + | 0.953807i | \(0.402874\pi\) | |||||||
\(242\) | −461401. | + | 222199.i | −0.506454 | + | 0.243895i | ||||
\(243\) | 50451.9 | + | 221044.i | 0.0548102 | + | 0.240139i | ||||
\(244\) | −287102. | + | 360015.i | −0.308718 | + | 0.387120i | ||||
\(245\) | −1.36962e6 | − | 659575.i | −1.45776 | − | 0.702019i | ||||
\(246\) | 104619. | − | 131188.i | 0.110223 | − | 0.138215i | ||||
\(247\) | −421037. | + | 1.84469e6i | −0.439115 | + | 1.92389i | ||||
\(248\) | 376522. | − | 181324.i | 0.388742 | − | 0.187208i | ||||
\(249\) | −190492. | + | 834600.i | −0.194706 | + | 0.853061i | ||||
\(250\) | 611428. | + | 294448.i | 0.618722 | + | 0.297961i | ||||
\(251\) | 234073. | 0.234513 | 0.117257 | − | 0.993102i | \(-0.462590\pi\) | ||||
0.117257 | + | 0.993102i | \(0.462590\pi\) | |||||||
\(252\) | −13006.6 | −0.0129022 | ||||||||
\(253\) | −2.55950e6 | − | 1.23259e6i | −2.51393 | − | 1.21065i | ||||
\(254\) | −87023.2 | − | 381273.i | −0.0846351 | − | 0.370811i | ||||
\(255\) | 290734. | + | 364568.i | 0.279991 | + | 0.351098i | ||||
\(256\) | −564568. | + | 707945.i | −0.538414 | + | 0.675149i | ||||
\(257\) | 137217. | 0.129592 | 0.0647958 | − | 0.997899i | \(-0.479360\pi\) | ||||
0.0647958 | + | 0.997899i | \(0.479360\pi\) | |||||||
\(258\) | 459325. | + | 318931.i | 0.429607 | + | 0.298296i | ||||
\(259\) | 226548. | 0.209851 | ||||||||
\(260\) | −784633. | + | 983899.i | −0.719836 | + | 0.902646i | ||||
\(261\) | 14881.3 | + | 18660.5i | 0.0135219 | + | 0.0169560i | ||||
\(262\) | 163236. | + | 715183.i | 0.146914 | + | 0.643671i | ||||
\(263\) | 371761. | + | 179031.i | 0.331417 | + | 0.159602i | 0.592190 | − | 0.805798i | \(-0.298263\pi\) |
−0.260774 | + | 0.965400i | \(0.583978\pi\) | |||||||
\(264\) | −1.41580e6 | −1.25023 | ||||||||
\(265\) | −408200. | −0.357074 | ||||||||
\(266\) | −171231. | − | 82460.7i | −0.148381 | − | 0.0714567i | ||||
\(267\) | −142714. | + | 625269.i | −0.122514 | + | 0.536771i | ||||
\(268\) | 665603. | − | 320538.i | 0.566081 | − | 0.272610i | ||||
\(269\) | −427706. | + | 1.87390e6i | −0.360383 | + | 1.57894i | 0.391840 | + | 0.920033i | \(0.371839\pi\) |
−0.752223 | + | 0.658909i | \(0.771018\pi\) | |||||||
\(270\) | −726987. | + | 911613.i | −0.606900 | + | 0.761029i | ||||
\(271\) | −608089. | − | 292840.i | −0.502972 | − | 0.242219i | 0.165152 | − | 0.986268i | \(-0.447188\pi\) |
−0.668125 | + | 0.744049i | \(0.732903\pi\) | |||||||
\(272\) | 35443.2 | − | 44444.4i | 0.0290477 | − | 0.0364246i | ||||
\(273\) | 39364.5 | + | 172467.i | 0.0319668 | + | 0.140056i | ||||
\(274\) | 917158. | − | 441680.i | 0.738019 | − | 0.355411i | ||||
\(275\) | 2.78802e6 | − | 1.34264e6i | 2.22313 | − | 1.07060i | ||||
\(276\) | −1.00069e6 | − | 1.25483e6i | −0.790731 | − | 0.991545i | ||||
\(277\) | −172051. | − | 753803.i | −0.134728 | − | 0.590280i | −0.996544 | − | 0.0830606i | \(-0.973530\pi\) |
0.861817 | − | 0.507219i | \(-0.169327\pi\) | |||||||
\(278\) | 39914.6 | − | 174877.i | 0.0309756 | − | 0.135713i | ||||
\(279\) | −45953.8 | − | 57624.3i | −0.0353436 | − | 0.0443195i | ||||
\(280\) | −193402. | − | 242518.i | −0.147423 | − | 0.184863i | ||||
\(281\) | 383600. | − | 1.68066e6i | 0.289810 | − | 1.26974i | −0.594976 | − | 0.803743i | \(-0.702839\pi\) |
0.884786 | − | 0.465997i | \(-0.154304\pi\) | |||||||
\(282\) | 18616.2 | + | 81563.0i | 0.0139402 | + | 0.0610760i | ||||
\(283\) | −1.12303e6 | − | 1.40823e6i | −0.833537 | − | 1.04522i | −0.998265 | − | 0.0588837i | \(-0.981246\pi\) |
0.164727 | − | 0.986339i | \(-0.447326\pi\) | |||||||
\(284\) | 131830. | − | 63485.9i | 0.0969880 | − | 0.0467069i | ||||
\(285\) | 3.72769e6 | − | 1.79516e6i | 2.71849 | − | 1.30916i | ||||
\(286\) | −246945. | − | 1.08193e6i | −0.178519 | − | 0.782143i | ||||
\(287\) | 44524.8 | − | 55832.3i | 0.0319078 | − | 0.0400111i | ||||
\(288\) | 162309. | + | 78164.1i | 0.115309 | + | 0.0555298i | ||||
\(289\) | −810954. | + | 1.01690e6i | −0.571152 | + | 0.716202i | ||||
\(290\) | −51615.3 | + | 226142.i | −0.0360399 | + | 0.157901i | ||||
\(291\) | −549187. | + | 264475.i | −0.380179 | + | 0.183084i | ||||
\(292\) | −161012. | + | 705440.i | −0.110510 | + | 0.484176i | ||||
\(293\) | 2.24383e6 | + | 1.08057e6i | 1.52693 | + | 0.735333i | 0.993850 | − | 0.110730i | \(-0.0353190\pi\) |
0.533083 | + | 0.846063i | \(0.321033\pi\) | |||||||
\(294\) | 757372. | 0.511024 | ||||||||
\(295\) | −947785. | −0.634095 | ||||||||
\(296\) | −1.77526e6 | − | 854919.i | −1.17769 | − | 0.567147i | ||||
\(297\) | 504001. | + | 2.20817e6i | 0.331543 | + | 1.45259i | ||||
\(298\) | 690450. | + | 865797.i | 0.450393 | + | 0.564775i | ||||
\(299\) | 1.92486e6 | − | 2.41370e6i | 1.24515 | − | 1.56137i | ||||
\(300\) | 1.74829e6 | 1.12153 | ||||||||
\(301\) | 195485. | + | 135734.i | 0.124365 | + | 0.0863522i | ||||
\(302\) | −827978. | −0.522398 | ||||||||
\(303\) | −1.47107e6 | + | 1.84466e6i | −0.920504 | + | 1.15428i | ||||
\(304\) | −314483. | − | 394350.i | −0.195170 | − | 0.244736i | ||||
\(305\) | 430979. | + | 1.88824e6i | 0.265281 | + | 1.16227i | ||||
\(306\) | 29602.1 | + | 14255.6i | 0.0180725 | + | 0.00870326i | ||||
\(307\) | 1.45326e6 | 0.880027 | 0.440013 | − | 0.897991i | \(-0.354974\pi\) | ||||
0.440013 | + | 0.897991i | \(0.354974\pi\) | |||||||
\(308\) | −245541. | −0.147485 | ||||||||
\(309\) | 638845. | + | 307652.i | 0.380627 | + | 0.183300i | ||||
\(310\) | 159390. | − | 698332.i | 0.0942011 | − | 0.412722i | ||||
\(311\) | −2.76588e6 | + | 1.33198e6i | −1.62155 | + | 0.780900i | −0.999997 | − | 0.00246857i | \(-0.999214\pi\) |
−0.621558 | + | 0.783368i | \(0.713500\pi\) | |||||||
\(312\) | 342370. | − | 1.50002e6i | 0.199118 | − | 0.872391i | ||||
\(313\) | 826749. | − | 1.03671e6i | 0.476994 | − | 0.598131i | −0.483874 | − | 0.875137i | \(-0.660771\pi\) |
0.960868 | + | 0.277006i | \(0.0893423\pi\) | |||||||
\(314\) | −774079. | − | 372777.i | −0.443059 | − | 0.213366i | ||||
\(315\) | −34109.2 | + | 42771.6i | −0.0193685 | + | 0.0242873i | ||||
\(316\) | −258317. | − | 1.13176e6i | −0.145524 | − | 0.637583i | ||||
\(317\) | 370713. | − | 178526.i | 0.207200 | − | 0.0997823i | −0.327406 | − | 0.944884i | \(-0.606174\pi\) |
0.534606 | + | 0.845102i | \(0.320460\pi\) | |||||||
\(318\) | 183232. | − | 88239.8i | 0.101609 | − | 0.0489324i | ||||
\(319\) | 280931. | + | 352277.i | 0.154569 | + | 0.193824i | ||||
\(320\) | 281047. | + | 1.23135e6i | 0.153428 | + | 0.672210i | ||||
\(321\) | 605993. | − | 2.65503e6i | 0.328250 | − | 1.43816i | ||||
\(322\) | 193341. | + | 242441.i | 0.103916 | + | 0.130307i | ||||
\(323\) | −659360. | − | 826811.i | −0.351655 | − | 0.440961i | ||||
\(324\) | −248916. | + | 1.09057e6i | −0.131732 | + | 0.577154i | ||||
\(325\) | 748311. | + | 3.27857e6i | 0.392983 | + | 1.72177i | ||||
\(326\) | 78834.6 | + | 98855.5i | 0.0410840 | + | 0.0515177i | ||||
\(327\) | 1.47949e6 | − | 712484.i | 0.765142 | − | 0.368473i | ||||
\(328\) | −559594. | + | 269486.i | −0.287203 | + | 0.138310i | ||||
\(329\) | 7922.92 | + | 34712.6i | 0.00403548 | + | 0.0176806i | ||||
\(330\) | −1.51300e6 | + | 1.89724e6i | −0.764810 | + | 0.959041i | ||||
\(331\) | 2.37405e6 | + | 1.14328e6i | 1.19102 | + | 0.573567i | 0.921104 | − | 0.389316i | \(-0.127289\pi\) |
0.269920 | + | 0.962883i | \(0.413003\pi\) | |||||||
\(332\) | 805100. | − | 1.00956e6i | 0.400871 | − | 0.502676i | ||||
\(333\) | −77327.5 | + | 338794.i | −0.0382141 | + | 0.167427i | ||||
\(334\) | 1.23955e6 | − | 596937.i | 0.607993 | − | 0.292794i | ||||
\(335\) | 691440. | − | 3.02939e6i | 0.336622 | − | 1.47484i | ||||
\(336\) | −42487.6 | − | 20461.0i | −0.0205312 | − | 0.00988730i | ||||
\(337\) | 475817. | 0.228226 | 0.114113 | − | 0.993468i | \(-0.463597\pi\) | ||||
0.114113 | + | 0.993468i | \(0.463597\pi\) | |||||||
\(338\) | 32396.1 | 0.0154242 | ||||||||
\(339\) | −1.19868e6 | − | 577256.i | −0.566507 | − | 0.272815i | ||||
\(340\) | −156513. | − | 685730.i | −0.0734268 | − | 0.321704i | ||||
\(341\) | −867524. | − | 1.08784e6i | −0.404013 | − | 0.506616i | ||||
\(342\) | 181763. | − | 227924.i | 0.0840311 | − | 0.105372i | ||||
\(343\) | 652225. | 0.299338 | ||||||||
\(344\) | −1.01963e6 | − | 1.80133e6i | −0.464564 | − | 0.820723i | ||||
\(345\) | −6.75072e6 | −3.05353 | ||||||||
\(346\) | 436919. | − | 547879.i | 0.196205 | − | 0.246034i | ||||
\(347\) | −1.26691e6 | − | 1.58866e6i | −0.564837 | − | 0.708284i | 0.414606 | − | 0.910001i | \(-0.363919\pi\) |
−0.979444 | + | 0.201717i | \(0.935348\pi\) | |||||||
\(348\) | 56646.0 | + | 248182.i | 0.0250738 | + | 0.109856i | ||||
\(349\) | 1.56721e6 | + | 754729.i | 0.688754 | + | 0.331686i | 0.745315 | − | 0.666713i | \(-0.232299\pi\) |
−0.0565611 | + | 0.998399i | \(0.518014\pi\) | |||||||
\(350\) | −337781. | −0.147389 | ||||||||
\(351\) | −2.46142e6 | −1.06639 | ||||||||
\(352\) | 3.06411e6 | + | 1.47560e6i | 1.31810 | + | 0.634762i | ||||
\(353\) | 326400. | − | 1.43005e6i | 0.139416 | − | 0.610823i | −0.856147 | − | 0.516732i | \(-0.827148\pi\) |
0.995564 | − | 0.0940908i | \(-0.0299944\pi\) | |||||||
\(354\) | 425440. | − | 204881.i | 0.180439 | − | 0.0868947i | ||||
\(355\) | 136947. | − | 600004.i | 0.0576742 | − | 0.252687i | ||||
\(356\) | 603169. | − | 756350.i | 0.252240 | − | 0.316299i | ||||
\(357\) | −89081.5 | − | 42899.4i | −0.0369928 | − | 0.0178148i | ||||
\(358\) | −598885. | + | 750978.i | −0.246965 | + | 0.309684i | ||||
\(359\) | 314809. | + | 1.37927e6i | 0.128917 | + | 0.564823i | 0.997587 | + | 0.0694311i | \(0.0221184\pi\) |
−0.868670 | + | 0.495392i | \(0.835024\pi\) | |||||||
\(360\) | 428690. | − | 206446.i | 0.174336 | − | 0.0839557i | ||||
\(361\) | −6.22321e6 | + | 2.99694e6i | −2.51331 | + | 1.21035i | ||||
\(362\) | 240889. | + | 302065.i | 0.0966150 | + | 0.121151i | ||||
\(363\) | 526027. | + | 2.30467e6i | 0.209528 | + | 0.918000i | ||||
\(364\) | 59377.3 | − | 260149.i | 0.0234891 | − | 0.102913i | ||||
\(365\) | 1.89756e6 | + | 2.37946e6i | 0.745526 | + | 0.934860i | ||||
\(366\) | −601635. | − | 754427.i | −0.234763 | − | 0.294384i | ||||
\(367\) | 2658.95 | − | 11649.6i | 0.00103049 | − | 0.00451489i | −0.974410 | − | 0.224778i | \(-0.927834\pi\) |
0.975441 | + | 0.220263i | \(0.0706915\pi\) | |||||||
\(368\) | 183130. | + | 802344.i | 0.0704919 | + | 0.308845i | ||||
\(369\) | 68297.4 | + | 85642.3i | 0.0261119 | + | 0.0327433i | ||||
\(370\) | −3.04277e6 | + | 1.46532e6i | −1.15549 | + | 0.556454i | ||||
\(371\) | 77982.0 | − | 37554.1i | 0.0294144 | − | 0.0141652i | ||||
\(372\) | −174924. | − | 766394.i | −0.0655380 | − | 0.287141i | ||||
\(373\) | 980191. | − | 1.22912e6i | 0.364786 | − | 0.457427i | −0.565237 | − | 0.824929i | \(-0.691215\pi\) |
0.930023 | + | 0.367501i | \(0.119787\pi\) | |||||||
\(374\) | 558833. | + | 269120.i | 0.206587 | + | 0.0994870i | ||||
\(375\) | 1.95314e6 | − | 2.44916e6i | 0.717224 | − | 0.899371i | ||||
\(376\) | 68909.0 | − | 301910.i | 0.0251366 | − | 0.110131i | ||||
\(377\) | −441170. | + | 212456.i | −0.159865 | + | 0.0769867i | ||||
\(378\) | 55014.9 | − | 241036.i | 0.0198039 | − | 0.0867665i | ||||
\(379\) | 4.60196e6 | + | 2.21619e6i | 1.64568 | + | 0.792516i | 0.999572 | + | 0.0292677i | \(0.00931753\pi\) |
0.646105 | + | 0.763248i | \(0.276397\pi\) | |||||||
\(380\) | −6.24087e6 | −2.21710 | ||||||||
\(381\) | −1.80523e6 | −0.637118 | ||||||||
\(382\) | −94049.2 | − | 45291.7i | −0.0329759 | − | 0.0158804i | ||||
\(383\) | 883411. | + | 3.87048e6i | 0.307727 | + | 1.34824i | 0.858169 | + | 0.513368i | \(0.171602\pi\) |
−0.550441 | + | 0.834874i | \(0.685541\pi\) | |||||||
\(384\) | 1.34950e6 | + | 1.69222e6i | 0.467030 | + | 0.585637i | ||||
\(385\) | −643919. | + | 807449.i | −0.221401 | + | 0.277628i | ||||
\(386\) | 1.39380e6 | 0.476136 | ||||||||
\(387\) | −269710. | + | 246010.i | −0.0915419 | + | 0.0834980i | ||||
\(388\) | 919444. | 0.310060 | ||||||||
\(389\) | −1.64961e6 | + | 2.06855e6i | −0.552723 | + | 0.693093i | −0.977194 | − | 0.212348i | \(-0.931889\pi\) |
0.424471 | + | 0.905442i | \(0.360460\pi\) | |||||||
\(390\) | −1.64423e6 | − | 2.06180e6i | −0.547396 | − | 0.686413i | ||||
\(391\) | 383958. | + | 1.68223e6i | 0.127011 | + | 0.556473i | ||||
\(392\) | −2.52583e6 | − | 1.21637e6i | −0.830211 | − | 0.399808i | ||||
\(393\) | 3.38620e6 | 1.10594 | ||||||||
\(394\) | −222125. | −0.0720869 | ||||||||
\(395\) | −4.39916e6 | − | 2.11852e6i | −1.41865 | − | 0.683188i | ||||
\(396\) | 83810.3 | − | 367197.i | 0.0268571 | − | 0.117669i | ||||
\(397\) | 2.07248e6 | − | 998052.i | 0.659953 | − | 0.317817i | −0.0737598 | − | 0.997276i | \(-0.523500\pi\) |
0.733713 | + | 0.679459i | \(0.237786\pi\) | |||||||
\(398\) | 630764. | − | 2.76356e6i | 0.199599 | − | 0.874502i | ||||
\(399\) | −546980. | + | 685891.i | −0.172004 | + | 0.215686i | ||||
\(400\) | −807680. | − | 388958.i | −0.252400 | − | 0.121549i | ||||
\(401\) | 1.54726e6 | − | 1.94021e6i | 0.480511 | − | 0.602542i | −0.481198 | − | 0.876612i | \(-0.659798\pi\) |
0.961710 | + | 0.274069i | \(0.0883698\pi\) | |||||||
\(402\) | 344487. | + | 1.50930e6i | 0.106318 | + | 0.465810i | ||||
\(403\) | 1.36234e6 | − | 656070.i | 0.417854 | − | 0.201228i | ||||
\(404\) | 3.20647e6 | − | 1.54416e6i | 0.977404 | − | 0.470693i | ||||
\(405\) | 2.93352e6 | + | 3.67852e6i | 0.888692 | + | 1.11438i | ||||
\(406\) | −10944.4 | − | 47950.4i | −0.00329515 | − | 0.0144370i | ||||
\(407\) | −1.45980e6 | + | 6.39581e6i | −0.436825 | + | 1.91386i | ||||
\(408\) | 536165. | + | 672329.i | 0.159458 | + | 0.199955i | ||||
\(409\) | 479968. | + | 601861.i | 0.141874 | + | 0.177905i | 0.847692 | − | 0.530489i | \(-0.177992\pi\) |
−0.705817 | + | 0.708394i | \(0.749420\pi\) | |||||||
\(410\) | −236888. | + | 1.03787e6i | −0.0695958 | + | 0.304919i | ||||
\(411\) | −1.04562e6 | − | 4.58116e6i | −0.305330 | − | 1.33774i | ||||
\(412\) | −666853. | − | 836207.i | −0.193547 | − | 0.242701i | ||||
\(413\) | 181064. | − | 87195.7i | 0.0522343 | − | 0.0251547i | ||||
\(414\) | −428554. | + | 206381.i | −0.122887 | + | 0.0591791i | ||||
\(415\) | −1.20856e6 | − | 5.29506e6i | −0.344468 | − | 1.50921i | ||||
\(416\) | −2.30435e6 | + | 2.88956e6i | −0.652852 | + | 0.818651i | ||||
\(417\) | −746000. | − | 359254.i | −0.210087 | − | 0.101172i | ||||
\(418\) | 3.43135e6 | − | 4.30278e6i | 0.960560 | − | 1.20450i | ||||
\(419\) | −438559. | + | 1.92145e6i | −0.122037 | + | 0.534681i | 0.876538 | + | 0.481332i | \(0.159847\pi\) |
−0.998576 | + | 0.0533492i | \(0.983010\pi\) | |||||||
\(420\) | −525702. | + | 253165.i | −0.145417 | + | 0.0700293i | ||||
\(421\) | 1.58917e6 | − | 6.96260e6i | 0.436983 | − | 1.91455i | 0.0337982 | − | 0.999429i | \(-0.489240\pi\) |
0.403185 | − | 0.915119i | \(-0.367903\pi\) | |||||||
\(422\) | 1.89789e6 | + | 913975.i | 0.518788 | + | 0.249835i | ||||
\(423\) | −54615.6 | −0.0148411 | ||||||||
\(424\) | −752793. | −0.203358 | ||||||||
\(425\) | −1.69342e6 | − | 815508.i | −0.454770 | − | 0.219006i | ||||
\(426\) | 68229.3 | + | 298932.i | 0.0182158 | + | 0.0798084i | ||||
\(427\) | −256051. | − | 321078.i | −0.0679605 | − | 0.0852198i | ||||
\(428\) | −2.56119e6 | + | 3.21163e6i | −0.675821 | + | 0.847453i | ||||
\(429\) | −5.12267e6 | −1.34386 | ||||||||
\(430\) | −3.50350e6 | − | 558646.i | −0.913758 | − | 0.145702i | ||||
\(431\) | −239512. | −0.0621061 | −0.0310530 | − | 0.999518i | \(-0.509886\pi\) | ||||
−0.0310530 | + | 0.999518i | \(0.509886\pi\) | |||||||
\(432\) | 409103. | − | 513000.i | 0.105469 | − | 0.132254i | ||||
\(433\) | −1.65239e6 | − | 2.07204e6i | −0.423539 | − | 0.531101i | 0.523583 | − | 0.851975i | \(-0.324595\pi\) |
−0.947122 | + | 0.320873i | \(0.896024\pi\) | |||||||
\(434\) | 33796.5 | + | 148072.i | 0.00861286 | + | 0.0377354i | ||||
\(435\) | 964686. | + | 464568.i | 0.244435 | + | 0.117713i | ||||
\(436\) | −2.47694e6 | −0.624022 | ||||||||
\(437\) | 1.53101e7 | 3.83507 | ||||||||
\(438\) | −1.36614e6 | − | 657896.i | −0.340258 | − | 0.163860i | ||||
\(439\) | −38103.0 | + | 166940.i | −0.00943621 | + | 0.0413427i | −0.979427 | − | 0.201800i | \(-0.935321\pi\) |
0.969991 | + | 0.243142i | \(0.0781782\pi\) | |||||||
\(440\) | 8.09288e6 | − | 3.89732e6i | 1.99283 | − | 0.959698i | ||||
\(441\) | −110021. | + | 482034.i | −0.0269389 | + | 0.118027i | ||||
\(442\) | −420268. | + | 526999.i | −0.102322 | + | 0.128308i | ||||
\(443\) | 2.60006e6 | + | 1.25212e6i | 0.629470 | + | 0.303137i | 0.721284 | − | 0.692640i | \(-0.243552\pi\) |
−0.0918143 | + | 0.995776i | \(0.529267\pi\) | |||||||
\(444\) | −2.31089e6 | + | 2.89777e6i | −0.556317 | + | 0.697599i | ||||
\(445\) | −905437. | − | 3.96698e6i | −0.216750 | − | 0.949642i | ||||
\(446\) | −842765. | + | 405854.i | −0.200618 | + | 0.0966124i | ||||
\(447\) | 4.60554e6 | − | 2.21791e6i | 1.09021 | − | 0.525020i | ||||
\(448\) | −166974. | − | 209379.i | −0.0393055 | − | 0.0492876i | ||||
\(449\) | −828169. | − | 3.62845e6i | −0.193867 | − | 0.849386i | −0.974498 | − | 0.224394i | \(-0.927960\pi\) |
0.780632 | − | 0.624991i | \(-0.214898\pi\) | |||||||
\(450\) | 115294. | − | 505138.i | 0.0268397 | − | 0.117592i | ||||
\(451\) | 1.28933e6 | + | 1.61677e6i | 0.298485 | + | 0.374289i | ||||
\(452\) | 1.25124e6 | + | 1.56900e6i | 0.288067 | + | 0.361224i | ||||
\(453\) | −850468. | + | 3.72614e6i | −0.194721 | + | 0.853128i | ||||
\(454\) | −143330. | − | 627970.i | −0.0326361 | − | 0.142988i | ||||
\(455\) | −699772. | − | 877486.i | −0.158463 | − | 0.198706i | ||||
\(456\) | 6.87452e6 | − | 3.31060e6i | 1.54821 | − | 0.745580i | ||||
\(457\) | 3.44895e6 | − | 1.66093e6i | 0.772497 | − | 0.372015i | −0.00574184 | − | 0.999984i | \(-0.501828\pi\) |
0.778239 | + | 0.627969i | \(0.216113\pi\) | |||||||
\(458\) | 792983. | + | 3.47429e6i | 0.176645 | + | 0.773930i | ||||
\(459\) | 857745. | − | 1.07558e6i | 0.190032 | − | 0.238292i | ||||
\(460\) | 9.17434e6 | + | 4.41813e6i | 2.02153 | + | 0.973517i | ||||
\(461\) | 2.74794e6 | − | 3.44581e6i | 0.602219 | − | 0.755159i | −0.383503 | − | 0.923540i | \(-0.625282\pi\) |
0.985722 | + | 0.168381i | \(0.0538538\pi\) | |||||||
\(462\) | 114496. | − | 501641.i | 0.0249567 | − | 0.109342i | ||||
\(463\) | −5.94927e6 | + | 2.86502e6i | −1.28977 | + | 0.621119i | −0.947882 | − | 0.318622i | \(-0.896780\pi\) |
−0.341886 | + | 0.939741i | \(0.611066\pi\) | |||||||
\(464\) | 29045.9 | − | 127258.i | 0.00626311 | − | 0.0274405i | ||||
\(465\) | −2.97898e6 | − | 1.43460e6i | −0.638903 | − | 0.307679i | ||||
\(466\) | −3.17481e6 | −0.677257 | ||||||||
\(467\) | −5.72300e6 | −1.21432 | −0.607158 | − | 0.794581i | \(-0.707690\pi\) | ||||
−0.607158 | + | 0.794581i | \(0.707690\pi\) | |||||||
\(468\) | 368775. | + | 177593.i | 0.0778300 | + | 0.0374809i | ||||
\(469\) | 146611. | + | 642344.i | 0.0307775 | + | 0.134845i | ||||
\(470\) | −330935. | − | 414980.i | −0.0691032 | − | 0.0866527i | ||||
\(471\) | −2.47271e6 | + | 3.10068e6i | −0.513595 | + | 0.644028i | ||||
\(472\) | −1.74788e6 | −0.361125 | ||||||||
\(473\) | −5.09163e6 | + | 4.64422e6i | −1.04642 | + | 0.954465i | ||||
\(474\) | 2.43264e6 | 0.497316 | ||||||||
\(475\) | −1.03980e7 | + | 1.30386e7i | −2.11453 | + | 2.65154i | ||||
\(476\) | 92986.9 | + | 116602.i | 0.0188107 | + | 0.0235878i | ||||
\(477\) | 29543.2 | + | 129437.i | 0.00594514 | + | 0.0260473i | ||||
\(478\) | −1.97991e6 | − | 953473.i | −0.396347 | − | 0.190871i | ||||
\(479\) | −3.20257e6 | −0.637764 | −0.318882 | − | 0.947794i | \(-0.603307\pi\) | ||||
−0.318882 | + | 0.947794i | \(0.603307\pi\) | |||||||
\(480\) | 8.08163e6 | 1.60102 | ||||||||
\(481\) | −6.42329e6 | − | 3.09329e6i | −1.26589 | − | 0.609619i | ||||
\(482\) | −181601. | + | 795644.i | −0.0356041 | + | 0.155992i | ||||
\(483\) | 1.28965e6 | − | 621062.i | 0.251538 | − | 0.121134i | ||||
\(484\) | 793456. | − | 3.47636e6i | 0.153960 | − | 0.674545i | ||||
\(485\) | 2.41120e6 | − | 3.02354e6i | 0.465456 | − | 0.583663i | ||||
\(486\) | 645695. | + | 310950.i | 0.124004 | + | 0.0597173i | ||||
\(487\) | 4.92101e6 | − | 6.17075e6i | 0.940224 | − | 1.17900i | −0.0434516 | − | 0.999056i | \(-0.513835\pi\) |
0.983676 | − | 0.179949i | \(-0.0575931\pi\) | |||||||
\(488\) | 794802. | + | 3.48226e6i | 0.151081 | + | 0.661929i | ||||
\(489\) | 525854. | − | 253238.i | 0.0994474 | − | 0.0478913i | ||||
\(490\) | −4.32924e6 | + | 2.08485e6i | −0.814557 | + | 0.392270i | ||||
\(491\) | 2.85319e6 | + | 3.57778e6i | 0.534105 | + | 0.669746i | 0.973537 | − | 0.228530i | \(-0.0733918\pi\) |
−0.439432 | + | 0.898276i | \(0.644820\pi\) | |||||||
\(492\) | 259976. | + | 1.13903e6i | 0.0484195 | + | 0.212140i | ||||
\(493\) | 60899.0 | − | 266816.i | 0.0112848 | − | 0.0494418i | ||||
\(494\) | 3.72898e6 | + | 4.67600e6i | 0.687500 | + | 0.862098i | ||||
\(495\) | −987720. | − | 1.23856e6i | −0.181184 | − | 0.227198i | ||||
\(496\) | −89694.6 | + | 392978.i | −0.0163705 | + | 0.0717239i | ||||
\(497\) | 29037.8 | + | 127223.i | 0.00527319 | + | 0.0231034i | ||||
\(498\) | 1.68712e6 | + | 2.11558e6i | 0.304841 | + | 0.382258i | ||||
\(499\) | −2.58569e6 | + | 1.24520e6i | −0.464863 | + | 0.223866i | −0.651629 | − | 0.758538i | \(-0.725914\pi\) |
0.186765 | + | 0.982405i | \(0.440200\pi\) | |||||||
\(500\) | −4.25724e6 | + | 2.05018e6i | −0.761559 | + | 0.366747i | ||||
\(501\) | −1.41317e6 | − | 6.19150e6i | −0.251536 | − | 1.10205i | ||||
\(502\) | 461309. | − | 578463.i | 0.0817020 | − | 0.102451i | ||||
\(503\) | −1.09200e6 | − | 525880.i | −0.192444 | − | 0.0926759i | 0.335180 | − | 0.942154i | \(-0.391203\pi\) |
−0.527624 | + | 0.849478i | \(0.676917\pi\) | |||||||
\(504\) | −62903.4 | + | 78878.4i | −0.0110306 | + | 0.0138319i | ||||
\(505\) | 3.33094e6 | − | 1.45938e7i | 0.581217 | − | 2.54648i | ||||
\(506\) | −8.09032e6 | + | 3.89609e6i | −1.40472 | + | 0.676477i | ||||
\(507\) | 33276.1 | − | 145792.i | 0.00574926 | − | 0.0251892i | ||||
\(508\) | 2.45333e6 | + | 1.18146e6i | 0.421791 | + | 0.203124i | ||||
\(509\) | 8.39759e6 | 1.43668 | 0.718340 | − | 0.695692i | \(-0.244902\pi\) | ||||
0.718340 | + | 0.695692i | \(0.244902\pi\) | |||||||
\(510\) | 1.47393e6 | 0.250929 | ||||||||
\(511\) | −581416. | − | 279995.i | −0.0984996 | − | 0.0474349i | ||||
\(512\) | −419398. | − | 1.83750e6i | −0.0707052 | − | 0.309780i | ||||
\(513\) | −7.61066e6 | − | 9.54346e6i | −1.27682 | − | 1.60108i | ||||
\(514\) | 270427. | − | 339105.i | 0.0451484 | − | 0.0566143i | ||||
\(515\) | −4.49861e6 | −0.747413 | ||||||||
\(516\) | −3.73021e6 | + | 1.11589e6i | −0.616749 | + | 0.184500i | ||||
\(517\) | −1.03104e6 | −0.169649 | ||||||||
\(518\) | 446479. | − | 559867.i | 0.0731100 | − | 0.0916770i | ||||
\(519\) | −2.01683e6 | − | 2.52902e6i | −0.328663 | − | 0.412130i | ||||
\(520\) | 2.17215e6 | + | 9.51679e6i | 0.352274 | + | 1.54341i | ||||
\(521\) | 5.04771e6 | + | 2.43085e6i | 0.814704 | + | 0.392341i | 0.794356 | − | 0.607452i | \(-0.207808\pi\) |
0.0203476 | + | 0.999793i | \(0.493523\pi\) | |||||||
\(522\) | 75443.6 | 0.0121184 | ||||||||
\(523\) | −14715.9 | −0.00235252 | −0.00117626 | − | 0.999999i | \(-0.500374\pi\) | ||||
−0.00117626 | + | 0.999999i | \(0.500374\pi\) | |||||||
\(524\) | −4.60190e6 | − | 2.21616e6i | −0.732165 | − | 0.352592i | ||||
\(525\) | −346956. | + | 1.52011e6i | −0.0549384 | + | 0.240701i | ||||
\(526\) | 1.17510e6 | − | 565899.i | 0.185187 | − | 0.0891814i | ||||
\(527\) | −188058. | + | 823935.i | −0.0294961 | + | 0.129231i | ||||
\(528\) | 851421. | − | 1.06765e6i | 0.132911 | − | 0.166665i | ||||
\(529\) | −1.67075e7 | − | 8.04591e6i | −2.59581 | − | 1.25007i | ||||
\(530\) | −804476. | + | 1.00878e6i | −0.124401 | + | 0.155994i | ||||
\(531\) | 68595.4 | + | 300536.i | 0.0105574 | + | 0.0462552i | ||||
\(532\) | 1.19225e6 | − | 574156.i | 0.182636 | − | 0.0879531i | ||||
\(533\) | −2.02474e6 | + | 975064.i | −0.308711 | + | 0.148667i | ||||
\(534\) | 1.26397e6 | + | 1.58496e6i | 0.191815 | + | 0.240528i | ||||
\(535\) | 3.84468e6 | + | 1.68447e7i | 0.580732 | + | 2.54435i | ||||
\(536\) | 1.27514e6 | − | 5.58674e6i | 0.191710 | − | 0.839937i | ||||
\(537\) | 2.76447e6 | + | 3.46653e6i | 0.413691 | + | 0.518752i | ||||
\(538\) | 3.78804e6 | + | 4.75006e6i | 0.564234 | + | 0.707527i | ||||
\(539\) | −2.07700e6 | + | 9.09992e6i | −0.307939 | + | 1.34917i | ||||
\(540\) | −1.80656e6 | − | 7.91504e6i | −0.266604 | − | 1.16807i | ||||
\(541\) | 4.65992e6 | + | 5.84335e6i | 0.684518 | + | 0.858359i | 0.995762 | − | 0.0919714i | \(-0.0293168\pi\) |
−0.311243 | + | 0.950330i | \(0.600745\pi\) | |||||||
\(542\) | −1.92211e6 | + | 925640.i | −0.281048 | + | 0.135345i | ||||
\(543\) | 1.60681e6 | − | 773799.i | 0.233865 | − | 0.112623i | ||||
\(544\) | −459656. | − | 2.01389e6i | −0.0665941 | − | 0.291768i | ||||
\(545\) | −6.49566e6 | + | 8.14531e6i | −0.936769 | + | 1.17467i | ||||
\(546\) | 503797. | + | 242616.i | 0.0723226 | + | 0.0348287i | ||||
\(547\) | 1.15803e6 | − | 1.45213e6i | 0.165483 | − | 0.207509i | −0.692175 | − | 0.721730i | \(-0.743347\pi\) |
0.857658 | + | 0.514221i | \(0.171919\pi\) | |||||||
\(548\) | −1.57721e6 | + | 6.91019e6i | −0.224356 | + | 0.982966i | ||||
\(549\) | 567557. | − | 273321.i | 0.0803672 | − | 0.0387028i | ||||
\(550\) | 2.17655e6 | − | 9.53608e6i | 0.306804 | − | 1.34420i | ||||
\(551\) | −2.18783e6 | − | 1.05360e6i | −0.306997 | − | 0.147842i | ||||
\(552\) | −1.24495e7 | −1.73902 | ||||||||
\(553\) | 1.03531e6 | 0.143966 | ||||||||
\(554\) | −2.20194e6 | − | 1.06040e6i | −0.304812 | − | 0.146790i | ||||
\(555\) | 3.46896e6 | + | 1.51985e7i | 0.478043 | + | 2.09444i | ||||
\(556\) | 778705. | + | 976465.i | 0.106828 | + | 0.133958i | ||||
\(557\) | 7.35765e6 | − | 9.22620e6i | 1.00485 | − | 1.26004i | 0.0394618 | − | 0.999221i | \(-0.487436\pi\) |
0.965387 | − | 0.260820i | \(-0.0839929\pi\) | |||||||
\(558\) | −232972. | −0.0316751 | ||||||||
\(559\) | −3.68925e6 | − | 6.51762e6i | −0.499353 | − | 0.882185i | ||||
\(560\) | 299189. | 0.0403158 | ||||||||
\(561\) | 1.78513e6 | − | 2.23848e6i | 0.239476 | − | 0.300294i | ||||
\(562\) | −3.39742e6 | − | 4.26023e6i | −0.453741 | − | 0.568973i | ||||
\(563\) | −2.34780e6 | − | 1.02864e7i | −0.312169 | − | 1.36770i | −0.850946 | − | 0.525253i | \(-0.823971\pi\) |
0.538777 | − | 0.842448i | \(-0.318886\pi\) | |||||||
\(564\) | −524824. | − | 252742.i | −0.0694730 | − | 0.0334564i | ||||
\(565\) | 8.44088e6 | 1.11241 | ||||||||
\(566\) | −5.69342e6 | −0.747020 | ||||||||
\(567\) | −898837. | − | 432857.i | −0.117415 | − | 0.0565441i | ||||
\(568\) | 252555. | − | 1.10651e6i | 0.0328462 | − | 0.143908i | ||||
\(569\) | 3.85443e6 | − | 1.85620e6i | 0.499091 | − | 0.240350i | −0.167364 | − | 0.985895i | \(-0.553525\pi\) |
0.666454 | + | 0.745546i | \(0.267811\pi\) | |||||||
\(570\) | 2.91013e6 | − | 1.27501e7i | 0.375167 | − | 1.64372i | ||||
\(571\) | −4.76809e6 | + | 5.97899e6i | −0.612004 | + | 0.767428i | −0.987195 | − | 0.159519i | \(-0.949006\pi\) |
0.375191 | + | 0.926947i | \(0.377577\pi\) | |||||||
\(572\) | 6.96180e6 | + | 3.35262e6i | 0.889675 | + | 0.428445i | ||||
\(573\) | −300430. | + | 376727.i | −0.0382258 | + | 0.0479336i | ||||
\(574\) | −50229.0 | − | 220068.i | −0.00636319 | − | 0.0278790i | ||||
\(575\) | 2.45159e7 | − | 1.18063e7i | 3.09228 | − | 1.48916i | ||||
\(576\) | 370111. | − | 178236.i | 0.0464810 | − | 0.0223841i | ||||
\(577\) | 9.70771e6 | + | 1.21731e7i | 1.21388 | + | 1.52216i | 0.785870 | + | 0.618391i | \(0.212215\pi\) |
0.428014 | + | 0.903772i | \(0.359213\pi\) | |||||||
\(578\) | 914849. | + | 4.00821e6i | 0.113902 | + | 0.499035i | ||||
\(579\) | 1.43165e6 | − | 6.27249e6i | 0.177477 | − | 0.777577i | ||||
\(580\) | −1.00698e6 | − | 1.26271e6i | −0.124294 | − | 0.155860i | ||||
\(581\) | 718025. | + | 900375.i | 0.0882469 | + | 0.110658i | ||||
\(582\) | −428739. | + | 1.87843e6i | −0.0524669 | + | 0.229872i | ||||
\(583\) | 557722. | + | 2.44354e6i | 0.0679589 | + | 0.297747i | ||||
\(584\) | 3.49943e6 | + | 4.38815e6i | 0.424586 | + | 0.532414i | ||||
\(585\) | 1.55110e6 | − | 746970.i | 0.187391 | − | 0.0902430i | ||||
\(586\) | 7.09252e6 | − | 3.41558e6i | 0.853211 | − | 0.410885i | ||||
\(587\) | 655239. | + | 2.87079e6i | 0.0784882 | + | 0.343879i | 0.998890 | − | 0.0470933i | \(-0.0149958\pi\) |
−0.920402 | + | 0.390973i | \(0.872139\pi\) | |||||||
\(588\) | −3.28792e6 | + | 4.12293e6i | −0.392174 | + | 0.491770i | ||||
\(589\) | 6.75607e6 | + | 3.25355e6i | 0.802428 | + | 0.386429i | ||||
\(590\) | −1.86789e6 | + | 2.34225e6i | −0.220912 | + | 0.277015i | ||||
\(591\) | −228158. | + | 999626.i | −0.0268700 | + | 0.117725i | ||||
\(592\) | 1.71228e6 | − | 824593.i | 0.200804 | − | 0.0967020i | ||||
\(593\) | 1.89762e6 | − | 8.31403e6i | 0.221602 | − | 0.970901i | −0.734671 | − | 0.678424i | \(-0.762663\pi\) |
0.956272 | − | 0.292477i | \(-0.0944796\pi\) | |||||||
\(594\) | 6.45032e6 | + | 3.10631e6i | 0.750093 | + | 0.361226i | ||||
\(595\) | 627293. | 0.0726404 | ||||||||
\(596\) | −7.71056e6 | −0.889140 | ||||||||
\(597\) | −1.17889e7 | − | 5.67724e6i | −1.35375 | − | 0.651931i | ||||
\(598\) | −2.17146e6 | − | 9.51379e6i | −0.248313 | − | 1.08793i | ||||
\(599\) | 3.89232e6 | + | 4.88082e6i | 0.443243 | + | 0.555809i | 0.952395 | − | 0.304868i | \(-0.0986123\pi\) |
−0.509152 | + | 0.860677i | \(0.670041\pi\) | |||||||
\(600\) | 8.45520e6 | − | 1.06025e7i | 0.958839 | − | 1.20235i | ||||
\(601\) | 1.16438e7 | 1.31495 | 0.657475 | − | 0.753477i | \(-0.271625\pi\) | ||||
0.657475 | + | 0.753477i | \(0.271625\pi\) | |||||||
\(602\) | 720700. | − | 215597.i | 0.0810519 | − | 0.0242466i | ||||
\(603\) | −1.01064e6 | −0.113189 | ||||||||
\(604\) | 3.59444e6 | − | 4.50729e6i | 0.400903 | − | 0.502716i | ||||
\(605\) | −9.35102e6 | − | 1.17258e7i | −1.03865 | − | 1.30243i | ||||
\(606\) | 1.65953e6 | + | 7.27087e6i | 0.183571 | + | 0.804276i | ||||
\(607\) | −1.30031e7 | − | 6.26197e6i | −1.43244 | − | 0.689825i | −0.452988 | − | 0.891517i | \(-0.649642\pi\) |
−0.979449 | + | 0.201691i | \(0.935356\pi\) | |||||||
\(608\) | −1.83285e7 | −2.01079 | ||||||||
\(609\) | −227032. | −0.0248053 | ||||||||
\(610\) | 5.51577e6 | + | 2.65626e6i | 0.600180 | + | 0.289032i | ||||
\(611\) | 249329. | − | 1.09238e6i | 0.0270190 | − | 0.118378i | ||||
\(612\) | −206113. | + | 99258.7i | −0.0222447 | + | 0.0107125i | ||||
\(613\) | −2.01733e6 | + | 8.83850e6i | −0.216833 | + | 0.950008i | 0.742968 | + | 0.669327i | \(0.233417\pi\) |
−0.959801 | + | 0.280681i | \(0.909440\pi\) | |||||||
\(614\) | 2.86406e6 | − | 3.59142e6i | 0.306593 | − | 0.384455i | ||||
\(615\) | 4.42741e6 | + | 2.13213e6i | 0.472022 | + | 0.227314i | ||||
\(616\) | −1.18750e6 | + | 1.48908e6i | −0.126091 | + | 0.158113i | ||||
\(617\) | 2.99579e6 | + | 1.31254e7i | 0.316809 | + | 1.38803i | 0.843114 | + | 0.537736i | \(0.180720\pi\) |
−0.526304 | + | 0.850296i | \(0.676423\pi\) | |||||||
\(618\) | 2.01933e6 | − | 972457.i | 0.212684 | − | 0.102423i | ||||
\(619\) | −4.06771e6 | + | 1.95891e6i | −0.426701 | + | 0.205488i | −0.634894 | − | 0.772599i | \(-0.718956\pi\) |
0.208193 | + | 0.978088i | \(0.433242\pi\) | |||||||
\(620\) | 3.10958e6 | + | 3.89929e6i | 0.324879 | + | 0.407386i | ||||
\(621\) | 4.43184e6 | + | 1.94171e7i | 0.461163 | + | 2.02049i | ||||
\(622\) | −2.15926e6 | + | 9.46034e6i | −0.223784 | + | 0.980462i | ||||
\(623\) | 537933. | + | 674547.i | 0.0555275 | + | 0.0696293i | ||||
\(624\) | 925272. | + | 1.16025e6i | 0.0951279 | + | 0.119287i | ||||
\(625\) | −636666. | + | 2.78942e6i | −0.0651946 | + | 0.285636i | ||||
\(626\) | −932666. | − | 4.08628e6i | −0.0951241 | − | 0.416766i | ||||
\(627\) | −1.58392e7 | − | 1.98617e7i | −1.60903 | − | 2.01766i | ||||
\(628\) | 5.38975e6 | − | 2.59556e6i | 0.545342 | − | 0.262623i | ||||
\(629\) | 3.59005e6 | − | 1.72888e6i | 0.361805 | − | 0.174236i | ||||
\(630\) | 38479.0 | + | 168588.i | 0.00386254 | + | 0.0169229i | ||||
\(631\) | −564769. | + | 708198.i | −0.0564673 | + | 0.0708078i | −0.809263 | − | 0.587446i | \(-0.800133\pi\) |
0.752796 | + | 0.658254i | \(0.228705\pi\) | |||||||
\(632\) | −8.11283e6 | − | 3.90693e6i | −0.807941 | − | 0.389084i | ||||
\(633\) | 6.06259e6 | − | 7.60225e6i | 0.601380 | − | 0.754107i | ||||
\(634\) | 289408. | − | 1.26798e6i | 0.0285948 | − | 0.125282i | ||||
\(635\) | 1.03189e7 | − | 4.96933e6i | 1.01555 | − | 0.489062i | ||||
\(636\) | −315098. | + | 1.38053e6i | −0.0308889 | + | 0.135333i | ||||
\(637\) | −9.13902e6 | − | 4.40112e6i | −0.892383 | − | 0.429749i | ||||
\(638\) | 1.42424e6 | 0.138526 | ||||||||
\(639\) | −200169. | −0.0193929 | ||||||||
\(640\) | −1.23722e7 | − | 5.95812e6i | −1.19398 | − | 0.574989i | ||||
\(641\) | 823850. | + | 3.60952e6i | 0.0791959 | + | 0.346980i | 0.998965 | − | 0.0454793i | \(-0.0144815\pi\) |
−0.919769 | + | 0.392459i | \(0.871624\pi\) | |||||||
\(642\) | −5.36707e6 | − | 6.73010e6i | −0.513925 | − | 0.644442i | ||||
\(643\) | 7.43016e6 | − | 9.31712e6i | 0.708713 | − | 0.888698i | −0.288927 | − | 0.957351i | \(-0.593299\pi\) |
0.997641 | + | 0.0686528i | \(0.0218701\pi\) | |||||||
\(644\) | −2.15912e6 | −0.205145 | ||||||||
\(645\) | −6.11273e6 | + | 1.51930e7i | −0.578544 | + | 1.43795i | ||||
\(646\) | −3.34275e6 | −0.315154 | ||||||||
\(647\) | −9.92754e6 | + | 1.24487e7i | −0.932354 | + | 1.16913i | 0.0529967 | + | 0.998595i | \(0.483123\pi\) |
−0.985351 | + | 0.170540i | \(0.945449\pi\) | |||||||
\(648\) | 5.40993e6 | + | 6.78384e6i | 0.506121 | + | 0.634655i | ||||
\(649\) | 1.29496e6 | + | 5.67357e6i | 0.120682 | + | 0.528743i | ||||
\(650\) | 9.57706e6 | + | 4.61207e6i | 0.889097 | + | 0.428166i | ||||
\(651\) | 701082. | 0.0648361 | ||||||||
\(652\) | −880381. | −0.0811058 | ||||||||
\(653\) | 2.75331e6 | + | 1.32592e6i | 0.252681 | + | 0.121685i | 0.555937 | − | 0.831224i | \(-0.312360\pi\) |
−0.303256 | + | 0.952909i | \(0.598074\pi\) | |||||||
\(654\) | 1.15500e6 | − | 5.06040e6i | 0.105594 | − | 0.462638i | ||||
\(655\) | −1.93560e7 | + | 9.32135e6i | −1.76284 | + | 0.848937i | ||||
\(656\) | 133306. | − | 584051.i | 0.0120945 | − | 0.0529897i | ||||
\(657\) | 617176. | − | 773914.i | 0.0557822 | − | 0.0699487i | ||||
\(658\) | 101399. | + | 48831.4i | 0.00912999 | + | 0.00439677i | ||||
\(659\) | −6.91902e6 | + | 8.67617e6i | −0.620627 | + | 0.778242i | −0.988433 | − | 0.151661i | \(-0.951538\pi\) |
0.367805 | + | 0.929903i | \(0.380109\pi\) | |||||||
\(660\) | −3.75978e6 | − | 1.64727e7i | −0.335972 | − | 1.47199i | ||||
\(661\) | −2.31436e6 | + | 1.11454e6i | −0.206028 | + | 0.0992180i | −0.534052 | − | 0.845451i | \(-0.679332\pi\) |
0.328024 | + | 0.944669i | \(0.393617\pi\) | |||||||
\(662\) | 7.50415e6 | − | 3.61381e6i | 0.665513 | − | 0.320494i | ||||
\(663\) | 1.93997e6 | + | 2.43264e6i | 0.171400 | + | 0.214929i | ||||
\(664\) | −2.22881e6 | − | 9.76503e6i | −0.196179 | − | 0.859515i | ||||
\(665\) | 1.23853e6 | − | 5.42634e6i | 0.108605 | − | 0.475831i | ||||
\(666\) | 684863. | + | 858791.i | 0.0598299 | + | 0.0750243i | ||||
\(667\) | 2.47032e6 | + | 3.09768e6i | 0.215000 | + | 0.269601i | ||||
\(668\) | −2.13162e6 | + | 9.33922e6i | −0.184828 | + | 0.809784i | ||||
\(669\) | 960806. | + | 4.20957e6i | 0.0829986 | + | 0.363640i | ||||
\(670\) | −6.12384e6 | − | 7.67905e6i | −0.527032 | − | 0.660877i | ||||
\(671\) | 1.07144e7 | − | 5.15980e6i | 0.918677 | − | 0.442412i | ||||
\(672\) | −1.54391e6 | + | 743506.i | −0.131886 | + | 0.0635128i | ||||
\(673\) | 152283. | + | 667195.i | 0.0129602 | + | 0.0567826i | 0.980995 | − | 0.194035i | \(-0.0621576\pi\) |
−0.968034 | + | 0.250818i | \(0.919300\pi\) | |||||||
\(674\) | 937737. | − | 1.17588e6i | 0.0795117 | − | 0.0997045i | ||||
\(675\) | −1.95463e7 | − | 9.41299e6i | −1.65122 | − | 0.795185i | ||||
\(676\) | −140639. | + | 176356.i | −0.0118369 | + | 0.0148430i | ||||
\(677\) | −2.54455e6 | + | 1.11484e7i | −0.213373 | + | 0.934849i | 0.748883 | + | 0.662703i | \(0.230591\pi\) |
−0.962256 | + | 0.272147i | \(0.912266\pi\) | |||||||
\(678\) | −3.78892e6 | + | 1.82465e6i | −0.316550 | + | 0.152442i | ||||
\(679\) | −182468. | + | 799443.i | −0.0151884 | + | 0.0665446i | ||||
\(680\) | −4.91554e6 | − | 2.36720e6i | −0.407661 | − | 0.196319i | ||||
\(681\) | −2.97327e6 | −0.245678 | ||||||||
\(682\) | −4.39808e6 | −0.362078 | ||||||||
\(683\) | −5.44867e6 | − | 2.62394e6i | −0.446929 | − | 0.215230i | 0.196861 | − | 0.980431i | \(-0.436925\pi\) |
−0.643791 | + | 0.765201i | \(0.722639\pi\) | |||||||
\(684\) | 451679. | + | 1.97894e6i | 0.0369139 | + | 0.161730i | ||||
\(685\) | 1.85877e7 | + | 2.33082e7i | 1.51355 | + | 1.89794i | ||||
\(686\) | 1.28540e6 | − | 1.61184e6i | 0.104286 | − | 0.130771i | ||||
\(687\) | 1.64498e7 | 1.32975 | ||||||||
\(688\) | 1.97155e6 | + | 314371.i | 0.158795 | + | 0.0253205i | ||||
\(689\) | −2.72378e6 | −0.218587 | ||||||||
\(690\) | −1.33043e7 | + | 1.66830e7i | −1.06382 | + | 1.33399i | ||||
\(691\) | 9.62878e6 | + | 1.20741e7i | 0.767142 | + | 0.961966i | 0.999944 | − | 0.0105582i | \(-0.00336083\pi\) |
−0.232802 | + | 0.972524i | \(0.574789\pi\) | |||||||
\(692\) | 1.08574e6 | + | 4.75693e6i | 0.0861906 | + | 0.377626i | ||||
\(693\) | 302640. | + | 145744.i | 0.0239383 | + | 0.0115281i | ||||
\(694\) | −6.42287e6 | −0.506210 | ||||||||
\(695\) | 5.25317e6 | 0.412534 | ||||||||
\(696\) | 1.77905e6 | + | 856746.i | 0.139208 | + | 0.0670392i | ||||
\(697\) | 279495. | − | 1.22455e6i | 0.0217918 | − | 0.0954759i | ||||
\(698\) | 4.95380e6 | − | 2.38563e6i | 0.384858 | − | 0.185338i | ||||
\(699\) | −3.26105e6 | + | 1.42876e7i | −0.252444 | + | 1.10603i | ||||
\(700\) | 1.46638e6 | − | 1.83879e6i | 0.113110 | − | 0.141836i | ||||
\(701\) | −1.39449e7 | − | 6.71551e6i | −1.07182 | − | 0.516160i | −0.187125 | − | 0.982336i | \(-0.559917\pi\) |
−0.884692 | + | 0.466177i | \(0.845631\pi\) | |||||||
\(702\) | −4.85094e6 | + | 6.08289e6i | −0.371521 | + | 0.465872i | ||||
\(703\) | −7.86731e6 | − | 3.44689e7i | −0.600396 | − | 2.63051i | ||||
\(704\) | 6.98701e6 | − | 3.36477e6i | 0.531324 | − | 0.255872i | ||||
\(705\) | −2.20745e6 | + | 1.06305e6i | −0.167270 | + | 0.0805531i | ||||
\(706\) | −2.89081e6 | − | 3.62496e6i | −0.218277 | − | 0.273711i | ||||
\(707\) | 706282. | + | 3.09442e6i | 0.0531410 | + | 0.232826i | ||||
\(708\) | −731614. | + | 3.20541e6i | −0.0548528 | + | 0.240326i | ||||
\(709\) | −203889. | − | 255669.i | −0.0152327 | − | 0.0191013i | 0.774157 | − | 0.632994i | \(-0.218174\pi\) |
−0.789390 | + | 0.613893i | \(0.789603\pi\) | |||||||
\(710\) | −1.21289e6 | − | 1.52092e6i | −0.0902976 | − | 0.113230i | ||||
\(711\) | −353382. | + | 1.54827e6i | −0.0262163 | + | 0.114861i | ||||
\(712\) | −1.66979e6 | − | 7.31581e6i | −0.123441 | − | 0.540832i | ||||
\(713\) | −7.62841e6 | − | 9.56572e6i | −0.561966 | − | 0.704683i | ||||
\(714\) | −281578. | + | 135601.i | −0.0206706 | + | 0.00995444i | ||||
\(715\) | 2.92819e7 | − | 1.41014e7i | 2.14207 | − | 1.03157i | ||||
\(716\) | −1.48822e6 | − | 6.52033e6i | −0.108489 | − | 0.475321i | ||||
\(717\) | −6.32460e6 | + | 7.93079e6i | −0.459446 | + | 0.576128i | ||||
\(718\) | 4.02900e6 | + | 1.94026e6i | 0.291666 | + | 0.140459i | ||||
\(719\) | 1.12191e7 | − | 1.40683e7i | 0.809349 | − | 1.01489i | −0.190102 | − | 0.981764i | \(-0.560882\pi\) |
0.999451 | − | 0.0331274i | \(-0.0105467\pi\) | |||||||
\(720\) | −102122. | + | 447425.i | −0.00734155 | + | 0.0321654i | ||||
\(721\) | 859410. | − | 413870.i | 0.0615690 | − | 0.0296501i | ||||
\(722\) | −4.85832e6 | + | 2.12857e7i | −0.346851 | + | 1.51966i | ||||
\(723\) | 3.39410e6 | + | 1.63451e6i | 0.241479 | + | 0.116290i | ||||
\(724\) | −2.69011e6 | −0.190732 | ||||||||
\(725\) | −4.31583e6 | −0.304944 | ||||||||
\(726\) | 6.73221e6 | + | 3.24206e6i | 0.474041 | + | 0.228286i | ||||
\(727\) | −1.94314e6 | − | 8.51347e6i | −0.136354 | − | 0.597407i | −0.996218 | − | 0.0868842i | \(-0.972309\pi\) |
0.859864 | − | 0.510523i | \(-0.170548\pi\) | |||||||
\(728\) | −1.29050e6 | − | 1.61824e6i | −0.0902466 | − | 0.113166i | ||||
\(729\) | 9.76317e6 | − | 1.22426e7i | 0.680412 | − | 0.853210i | ||||
\(730\) | 9.62003e6 | 0.668143 | ||||||||
\(731\) | 4.13365e6 | + | 659125.i | 0.286115 | + | 0.0456220i | ||||
\(732\) | 6.71873e6 | 0.463457 | ||||||||
\(733\) | 5.92742e6 | − | 7.43275e6i | 0.407480 | − | 0.510963i | −0.535171 | − | 0.844744i | \(-0.679753\pi\) |
0.942651 | + | 0.333780i | \(0.108324\pi\) | |||||||
\(734\) | −23549.4 | − | 29530.0i | −0.00161339 | − | 0.00202313i | ||||
\(735\) | 4.93561e6 | + | 2.16243e7i | 0.336994 | + | 1.47647i | ||||
\(736\) | 2.69436e7 | + | 1.29754e7i | 1.83342 | + | 0.882928i | ||||
\(737\) | −1.90791e7 | −1.29386 | ||||||||
\(738\) | 346247. | 0.0234016 | ||||||||
\(739\) | −1.41138e7 | − | 6.79684e6i | −0.950675 | − | 0.457821i | −0.106752 | − | 0.994286i | \(-0.534045\pi\) |
−0.843923 | + | 0.536465i | \(0.819759\pi\) | |||||||
\(740\) | 5.23256e6 | − | 2.29253e7i | 0.351265 | − | 1.53899i | ||||
\(741\) | 2.48736e7 | − | 1.19785e7i | 1.66415 | − | 0.801414i | ||||
\(742\) | 60878.9 | − | 266728.i | 0.00405935 | − | 0.0177852i | ||||
\(743\) | −1.81317e6 | + | 2.27364e6i | −0.120494 | + | 0.151095i | −0.838420 | − | 0.545025i | \(-0.816520\pi\) |
0.717926 | + | 0.696120i | \(0.245092\pi\) | |||||||
\(744\) | −5.49376e6 | − | 2.64566e6i | −0.363863 | − | 0.175227i | ||||
\(745\) | −2.02205e7 | + | 2.53558e7i | −1.33476 | + | 1.67373i | ||||
\(746\) | −1.10577e6 | − | 4.84468e6i | −0.0727472 | − | 0.318726i | ||||
\(747\) | −1.59156e6 | + | 766454.i | −0.104357 | + | 0.0502556i | ||||
\(748\) | −3.89103e6 | + | 1.87382e6i | −0.254279 | + | 0.122454i | ||||
\(749\) | −2.28418e6 | − | 2.86427e6i | −0.148774 | − | 0.186556i | ||||
\(750\) | −2.20336e6 | − | 9.65356e6i | −0.143032 | − | 0.626663i | ||||
\(751\) | 2.23434e6 | − | 9.78930e6i | 0.144561 | − | 0.633362i | −0.849781 | − | 0.527135i | \(-0.823266\pi\) |
0.994342 | − | 0.106226i | \(-0.0338768\pi\) | |||||||
\(752\) | 186230. | + | 233525.i | 0.0120089 | + | 0.0150587i | ||||
\(753\) | −2.12941e6 | − | 2.67020e6i | −0.136859 | − | 0.171616i | ||||
\(754\) | −344412. | + | 1.50897e6i | −0.0220622 | + | 0.0966610i | ||||
\(755\) | −5.39574e6 | − | 2.36403e7i | −0.344495 | − | 1.50933i | ||||
\(756\) | 1.07330e6 | + | 1.34588e6i | 0.0682994 | + | 0.0856448i | ||||
\(757\) | 1.22540e7 | − | 5.90120e6i | 0.777208 | − | 0.374283i | −0.00284618 | − | 0.999996i | \(-0.500906\pi\) |
0.780054 | + | 0.625713i | \(0.215192\pi\) | |||||||
\(758\) | 1.45463e7 | − | 7.00515e6i | 0.919561 | − | 0.442837i | ||||
\(759\) | 9.22348e6 | + | 4.04107e7i | 0.581153 | + | 2.54620i | ||||
\(760\) | −3.01825e7 | + | 3.78476e7i | −1.89549 | + | 2.37687i | ||||
\(761\) | −864147. | − | 416151.i | −0.0540911 | − | 0.0260489i | 0.406643 | − | 0.913587i | \(-0.366699\pi\) |
−0.460734 | + | 0.887538i | \(0.652414\pi\) | |||||||
\(762\) | −3.55773e6 | + | 4.46125e6i | −0.221965 | + | 0.278336i | ||||
\(763\) | 491560. | − | 2.15367e6i | 0.0305679 | − | 0.133927i | ||||
\(764\) | 654844. | − | 315356.i | 0.0405886 | − | 0.0195465i | ||||
\(765\) | −214113. | + | 938092.i | −0.0132279 | + | 0.0579551i | ||||
\(766\) | 1.13061e7 | + | 5.44473e6i | 0.696211 | + | 0.335278i | ||||
\(767\) | −6.32425e6 | −0.388169 | ||||||||
\(768\) | 1.32119e7 | 0.808282 | ||||||||
\(769\) | −1.93351e7 | − | 9.31128e6i | −1.17904 | − | 0.567798i | −0.261411 | − | 0.965228i | \(-0.584188\pi\) |
−0.917633 | + | 0.397430i | \(0.869902\pi\) | |||||||
\(770\) | 726414. | + | 3.18263e6i | 0.0441527 | + | 0.193446i | ||||
\(771\) | −1.24830e6 | − | 1.56532e6i | −0.0756279 | − | 0.0948344i | ||||
\(772\) | −6.05078e6 | + | 7.58744e6i | −0.365400 | + | 0.458197i | ||||
\(773\) | −1.81457e6 | −0.109226 | −0.0546128 | − | 0.998508i | \(-0.517392\pi\) | ||||
−0.0546128 | + | 0.998508i | \(0.517392\pi\) | |||||||
\(774\) | 76421.2 | + | 1.15137e6i | 0.00458523 | + | 0.0690815i | ||||
\(775\) | 1.33274e7 | 0.797061 | ||||||||
\(776\) | 4.44667e6 | − | 5.57595e6i | 0.265082 | − | 0.332403i | ||||
\(777\) | −2.06096e6 | − | 2.58436e6i | −0.122466 | − | 0.153568i | ||||
\(778\) | 1.86095e6 | + | 8.15335e6i | 0.110226 | + | 0.482933i | ||||
\(779\) | −1.00410e7 | − | 4.83549e6i | −0.592835 | − | 0.285494i | ||||
\(780\) | 1.83619e7 | 1.08064 | ||||||||
\(781\) | −3.77882e6 | −0.221681 | ||||||||
\(782\) | 4.91399e6 | + | 2.36645e6i | 0.287354 | + | 0.138382i | ||||
\(783\) | 702926. | − | 3.07972e6i | 0.0409737 | − | 0.179518i | ||||
\(784\) | 2.43623e6 | − | 1.17323e6i | 0.141556 | − | 0.0681697i | ||||
\(785\) | 5.59896e6 | − | 2.45306e7i | 0.324290 | − | 1.42081i | ||||
\(786\) | 6.67349e6 | − | 8.36830e6i | 0.385298 | − | 0.483149i | ||||
\(787\) | −1.05621e7 | − | 5.08645e6i | −0.607875 | − | 0.292737i | 0.104512 | − | 0.994524i | \(-0.466672\pi\) |
−0.712388 | + | 0.701786i | \(0.752386\pi\) | |||||||
\(788\) | 964294. | − | 1.20919e6i | 0.0553215 | − | 0.0693709i | ||||
\(789\) | −1.33969e6 | − | 5.86956e6i | −0.0766146 | − | 0.335671i | ||||
\(790\) | −1.39053e7 | + | 6.69644e6i | −0.792707 | + | 0.381748i | ||||
\(791\) | −1.61253e6 | + | 776556.i | −0.0916364 | + | 0.0441298i | ||||
\(792\) | −1.82153e6 | − | 2.28413e6i | −0.103187 | − | 0.129392i | ||||
\(793\) | 2.87578e6 | + | 1.25996e7i | 0.162395 | + | 0.711499i | ||||
\(794\) | 1.61794e6 | − | 7.08865e6i | 0.0910774 | − | 0.399036i | ||||
\(795\) | 3.71348e6 | + | 4.65656e6i | 0.208384 | + | 0.261305i | ||||
\(796\) | 1.23058e7 | + | 1.54309e7i | 0.688376 | + | 0.863196i | ||||
\(797\) | 5.95589e6 | − | 2.60945e7i | 0.332125 | − | 1.45513i | −0.482884 | − | 0.875684i | \(-0.660411\pi\) |
0.815009 | − | 0.579449i | \(-0.196732\pi\) | |||||||
\(798\) | 617055. | + | 2.70349e6i | 0.0343018 | + | 0.150286i | ||||
\(799\) | 390458. | + | 489619.i | 0.0216375 | + | 0.0271326i | ||||
\(800\) | −2.93493e7 | + | 1.41339e7i | −1.62133 | + | 0.780794i | ||||
\(801\) | −1.19237e6 | + | 574216.i | −0.0656644 | + | 0.0316223i | ||||
\(802\) | −1.74549e6 | − | 7.64749e6i | −0.0958256 | − | 0.419839i | ||||
\(803\) | 1.16512e7 | − | 1.46101e7i | 0.637647 | − | 0.799583i | ||||
\(804\) | −9.71169e6 | − | 4.67690e6i | −0.529852 | − | 0.255163i | ||||
\(805\) | −5.66218e6 | + | 7.10015e6i | −0.307960 | + | 0.386169i | ||||
\(806\) | 1.06355e6 | − | 4.65973e6i | 0.0576662 | − | 0.252652i | ||||
\(807\) | 2.52676e7 | − | 1.21682e7i | 1.36578 | − | 0.657723i | ||||
\(808\) | 6.14284e6 | − | 2.69135e7i | 0.331010 | − | 1.45025i | ||||
\(809\) | 1.46111e7 | + | 7.03635e6i | 0.784897 | + | 0.377987i | 0.783008 | − | 0.622012i | \(-0.213684\pi\) |
0.00188924 | + | 0.999998i | \(0.499399\pi\) | |||||||
\(810\) | 1.48720e7 | 0.796449 | ||||||||
\(811\) | 2.55916e7 | 1.36630 | 0.683149 | − | 0.730279i | \(-0.260610\pi\) | ||||
0.683149 | + | 0.730279i | \(0.260610\pi\) | |||||||
\(812\) | 308541. | + | 148585.i | 0.0164219 | + | 0.00790835i | ||||
\(813\) | 2.19133e6 | + | 9.60084e6i | 0.116274 | + | 0.509428i | ||||
\(814\) | 1.29290e7 | + | 1.62124e7i | 0.683915 | + | 0.857603i | ||||
\(815\) | −2.30876e6 | + | 2.89509e6i | −0.121754 | + | 0.152675i | ||||
\(816\) | −829437. | −0.0436072 | ||||||||
\(817\) | 1.38632e7 | − | 3.44564e7i | 0.726620 | − | 1.80599i | ||||
\(818\) | 2.43329e6 | 0.127148 | ||||||||
\(819\) | −227599. | + | 285400.i | −0.0118566 | + | 0.0148677i | ||||
\(820\) | −4.62152e6 | − | 5.79520e6i | −0.240021 | − | 0.300977i | ||||
\(821\) | −992119. | − | 4.34676e6i | −0.0513696 | − | 0.225065i | 0.942727 | − | 0.333566i | \(-0.108252\pi\) |
−0.994096 | + | 0.108501i | \(0.965395\pi\) | |||||||
\(822\) | −1.33821e7 | − | 6.44447e6i | −0.690787 | − | 0.332665i | ||||
\(823\) | −3.18781e7 | −1.64056 | −0.820280 | − | 0.571962i | \(-0.806183\pi\) | ||||
−0.820280 | + | 0.571962i | \(0.806183\pi\) | |||||||
\(824\) | −8.29624e6 | −0.425661 | ||||||||
\(825\) | −4.06795e7 | − | 1.95902e7i | −2.08085 | − | 1.00208i | ||||
\(826\) | 141353. | − | 619306.i | 0.00720864 | − | 0.0315831i | ||||
\(827\) | −2.36280e7 | + | 1.13787e7i | −1.20133 | + | 0.578532i | −0.924056 | − | 0.382258i | \(-0.875146\pi\) |
−0.277278 | + | 0.960790i | \(0.589432\pi\) | |||||||
\(828\) | 736970. | − | 3.22888e6i | 0.0373572 | − | 0.163673i | ||||
\(829\) | 6.45084e6 | − | 8.08910e6i | 0.326009 | − | 0.408803i | −0.591635 | − | 0.806206i | \(-0.701517\pi\) |
0.917644 | + | 0.397403i | \(0.130089\pi\) | |||||||
\(830\) | −1.54675e7 | − | 7.44874e6i | −0.779335 | − | 0.375308i | ||||
\(831\) | −7.03386e6 | + | 8.82018e6i | −0.353339 | + | 0.443073i | ||||
\(832\) | 1.87533e6 | + | 8.21635e6i | 0.0939224 | + | 0.411501i | ||||
\(833\) | 5.10791e6 | − | 2.45984e6i | 0.255053 | − | 0.122827i | ||||
\(834\) | −2.35803e6 | + | 1.13557e6i | −0.117391 | + | 0.0565325i | ||||
\(835\) | 2.51215e7 | + | 3.15013e7i | 1.24689 | + | 1.56355i | ||||
\(836\) | 8.52688e6 | + | 3.73587e7i | 0.421963 | + | 1.84874i | ||||
\(837\) | −2.17066e6 | + | 9.51027e6i | −0.107097 | + | 0.469223i | ||||
\(838\) | 3.88417e6 | + | 4.87059e6i | 0.191068 | + | 0.239592i | ||||
\(839\) | 4.75661e6 | + | 5.96461e6i | 0.233288 | + | 0.292534i | 0.884672 | − | 0.466214i | \(-0.154382\pi\) |
−0.651383 | + | 0.758749i | \(0.725811\pi\) | |||||||
\(840\) | −1.00712e6 | + | 4.41248e6i | −0.0492473 | + | 0.215767i | ||||
\(841\) | 4.42432e6 | + | 1.93842e7i | 0.215703 | + | 0.945058i | ||||
\(842\) | −1.40747e7 | − | 1.76491e7i | −0.684162 | − | 0.857912i | ||||
\(843\) | −2.26620e7 | + | 1.09134e7i | −1.09832 | + | 0.528923i | ||||
\(844\) | −1.32146e7 | + | 6.36381e6i | −0.638554 | + | 0.307511i | ||||
\(845\) | 211118. | + | 924967.i | 0.0101715 | + | 0.0445641i | ||||
\(846\) | −107636. | + | 134971.i | −0.00517049 | + | 0.00648358i | ||||
\(847\) | 2.86517e6 | + | 1.37980e6i | 0.137228 | + | 0.0660855i | ||||
\(848\) | 452709. | − | 567680.i | 0.0216187 | − | 0.0271090i | ||||
\(849\) | −5.84806e6 | + | 2.56220e7i | −0.278447 | + | 1.21996i | ||||
\(850\) | −5.35273e6 | + | 2.57774e6i | −0.254114 | + | 0.122375i | ||||
\(851\) | −1.28365e7 | + | 5.62403e7i | −0.607606 | + | 2.66210i | ||||
\(852\) | −1.92350e6 | − | 926311.i | −0.0907808 | − | 0.0437177i | ||||
\(853\) | 2.32789e7 | 1.09544 | 0.547721 | − | 0.836661i | \(-0.315496\pi\) | ||||
0.547721 | + | 0.836661i | \(0.315496\pi\) | |||||||
\(854\) | −1.29810e6 | −0.0609065 | ||||||||
\(855\) | 7.69213e6 | + | 3.70434e6i | 0.359858 | + | 0.173299i | ||||
\(856\) | 7.09028e6 | + | 3.10645e7i | 0.330734 | + | 1.44904i | ||||
\(857\) | −1.47771e7 | − | 1.85298e7i | −0.687284 | − | 0.861826i | 0.308719 | − | 0.951153i | \(-0.400100\pi\) |
−0.996002 | + | 0.0893270i | \(0.971528\pi\) | |||||||
\(858\) | −1.00957e7 | + | 1.26596e7i | −0.468187 | + | 0.587088i | ||||
\(859\) | −3.38681e7 | −1.56606 | −0.783028 | − | 0.621986i | \(-0.786326\pi\) | ||||
−0.783028 | + | 0.621986i | \(0.786326\pi\) | |||||||
\(860\) | 1.82506e7 | − | 1.66469e7i | 0.841456 | − | 0.767515i | ||||
\(861\) | −1.04196e6 | −0.0479009 | ||||||||
\(862\) | −472028. | + | 591905.i | −0.0216371 | + | 0.0271321i | ||||
\(863\) | −2.02396e7 | − | 2.53796e7i | −0.925070 | − | 1.16000i | −0.986806 | − | 0.161908i | \(-0.948235\pi\) |
0.0617361 | − | 0.998093i | \(-0.480336\pi\) | |||||||
\(864\) | −5.30558e6 | − | 2.32453e7i | −0.241796 | − | 1.05938i | ||||
\(865\) | 1.84902e7 | + | 8.90442e6i | 0.840237 | + | 0.404637i | ||||
\(866\) | −8.37713e6 | −0.379578 | ||||||||
\(867\) | 1.89778e7 | 0.857430 | ||||||||
\(868\) | −952782. | − | 458836.i | −0.0429234 | − | 0.0206708i | ||||
\(869\) | −6.67121e6 | + | 2.92285e7i | −0.299678 | + | 1.31298i | ||||
\(870\) | 3.04928e6 | − | 1.46845e6i | 0.136584 | − | 0.0657752i | ||||
\(871\) | 4.61374e6 | − | 2.02141e7i | 0.206067 | − | 0.902838i | ||||
\(872\) | −1.19792e7 | + | 1.50214e7i | −0.533501 | + | 0.668989i | ||||
\(873\) | −1.13325e6 | − | 545746.i | −0.0503259 | − | 0.0242357i | ||||
\(874\) | 3.01730e7 | − | 3.78357e7i | 1.33610 | − | 1.67542i | ||||
\(875\) | −937733. | − | 4.10848e6i | −0.0414056 | − | 0.181410i | ||||
\(876\) | 9.51211e6 | − | 4.58079e6i | 0.418809 | − | 0.201688i | ||||
\(877\) | −3.06070e7 | + | 1.47396e7i | −1.34376 | + | 0.647121i | −0.960954 | − | 0.276708i | \(-0.910757\pi\) |
−0.382806 | + | 0.923829i | \(0.625042\pi\) | |||||||
\(878\) | 337465. | + | 423167.i | 0.0147738 | + | 0.0185258i | ||||
\(879\) | −8.08592e6 | − | 3.54267e7i | −0.352986 | − | 1.54653i | ||||
\(880\) | −1.92787e6 | + | 8.44657e6i | −0.0839213 | + | 0.367683i | ||||
\(881\) | −1.10331e7 | − | 1.38350e7i | −0.478913 | − | 0.600537i | 0.482416 | − | 0.875942i | \(-0.339759\pi\) |
−0.961328 | + | 0.275405i | \(0.911188\pi\) | |||||||
\(882\) | 974419. | + | 1.22188e6i | 0.0421769 | + | 0.0528881i | ||||
\(883\) | −2.92065e6 | + | 1.27962e7i | −0.126060 | + | 0.552306i | 0.871969 | + | 0.489561i | \(0.162843\pi\) |
−0.998030 | + | 0.0627457i | \(0.980014\pi\) | |||||||
\(884\) | −1.04436e6 | − | 4.57565e6i | −0.0449490 | − | 0.196934i | ||||
\(885\) | 8.62221e6 | + | 1.08119e7i | 0.370050 | + | 0.464028i | ||||
\(886\) | 8.21855e6 | − | 3.95785e6i | 0.351731 | − | 0.169385i | ||||
\(887\) | 1.70254e7 | − | 8.19901e6i | 0.726589 | − | 0.349907i | −0.0337525 | − | 0.999430i | \(-0.510746\pi\) |
0.760342 | + | 0.649523i | \(0.225032\pi\) | |||||||
\(888\) | 6.39737e6 | + | 2.80287e7i | 0.272251 | + | 1.19281i | ||||
\(889\) | −1.51414e6 | + | 1.89867e6i | −0.0642557 | + | 0.0805741i | ||||
\(890\) | −1.15880e7 | − | 5.58048e6i | −0.490381 | − | 0.236155i | ||||
\(891\) | 1.80120e7 | − | 2.25864e7i | 0.760096 | − | 0.953131i | ||||
\(892\) | 1.44927e6 | − | 6.34969e6i | 0.0609872 | − | 0.267202i | ||||
\(893\) | 5.00632e6 | − | 2.41092e6i | 0.210083 | − | 0.101170i | ||||
\(894\) | 3.59545e6 | − | 1.57527e7i | 0.150456 | − | 0.659190i | ||||
\(895\) | −2.53445e7 | − | 1.22053e7i | −1.05761 | − | 0.509320i | ||||
\(896\) | 2.91171e6 | 0.121165 | ||||||||
\(897\) | −4.50453e7 | −1.86925 | ||||||||
\(898\) | −1.05991e7 | − | 5.10426e6i | −0.438610 | − | 0.211223i | ||||
\(899\) | 431819. | + | 1.89192e6i | 0.0178198 | + | 0.0780735i | ||||
\(900\) | 2.24931e6 | + | 2.82055e6i | 0.0925644 | + | 0.116072i | ||||
\(901\) | 949171. | − | 1.19022e6i | 0.0389522 | − | 0.0488446i | ||||
\(902\) | 6.53651e6 | 0.267504 | ||||||||
\(903\) | −229974. | − | 3.46481e6i | −0.00938555 | − | 0.141404i | ||||
\(904\) | 1.55665e7 | 0.633533 | ||||||||
\(905\) | −7.05468e6 | + | 8.84628e6i | −0.286323 | + | 0.359037i | ||||
\(906\) | 7.53230e6 | + | 9.44521e6i | 0.304865 | + | 0.382288i | ||||
\(907\) | 4.60195e6 | + | 2.01625e7i | 0.185748 | + | 0.813814i | 0.978826 | + | 0.204694i | \(0.0656201\pi\) |
−0.793078 | + | 0.609120i | \(0.791523\pi\) | |||||||
\(908\) | 4.04073e6 | + | 1.94591e6i | 0.162646 | + | 0.0783264i | ||||
\(909\) | −4.86866e6 | −0.195434 | ||||||||
\(910\) | −3.54763e6 | −0.142015 | ||||||||
\(911\) | 2.19051e7 | + | 1.05489e7i | 0.874480 | + | 0.421127i | 0.816605 | − | 0.577197i | \(-0.195853\pi\) |
0.0578744 | + | 0.998324i | \(0.481568\pi\) | |||||||
\(912\) | −1.63764e6 | + | 7.17497e6i | −0.0651976 | + | 0.285649i | ||||
\(913\) | −3.00457e7 | + | 1.44692e7i | −1.19290 | + | 0.574472i | ||||
\(914\) | 2.69252e6 | − | 1.17967e7i | 0.106609 | − | 0.467085i | ||||
\(915\) | 1.76195e7 | − | 2.20942e7i | 0.695731 | − | 0.872419i | ||||
\(916\) | −2.23556e7 | − | 1.07659e7i | −0.880333 | − | 0.423946i | ||||
\(917\) | 2.84018e6 | − | 3.56148e6i | 0.111538 | − | 0.139864i | ||||
\(918\) | −967633. | − | 4.23948e6i | −0.0378969 | − | 0.166037i | ||||
\(919\) | 2.42908e7 | − | 1.16978e7i | 0.948751 | − | 0.456894i | 0.105503 | − | 0.994419i | \(-0.466355\pi\) |
0.843248 | + | 0.537524i | \(0.180640\pi\) | |||||||
\(920\) | 7.11632e7 | − | 3.42704e7i | 2.77195 | − | 1.33490i | ||||
\(921\) | −1.32206e7 | − | 1.65781e7i | −0.513572 | − | 0.643999i | ||||
\(922\) | −3.09999e6 | − | 1.35819e7i | −0.120097 | − | 0.526180i | ||||
\(923\) | 913801. | − | 4.00362e6i | 0.0353059 | − | 0.154685i | ||||
\(924\) | 2.23374e6 | + | 2.80102e6i | 0.0860702 | + | 0.107929i | ||||
\(925\) | −3.91784e7 | − | 4.91281e7i | −1.50554 | − | 1.88789i | ||||
\(926\) | −4.64447e6 | + | 2.03488e7i | −0.177995 | + | 0.779849i | ||||
\(927\) | 325585. | + | 1.42648e6i | 0.0124441 | + | 0.0545213i | ||||
\(928\) | −2.95734e6 | − | 3.70839e6i | −0.112728 | − | 0.141356i | ||||
\(929\) | 6.95140e6 | − | 3.34762e6i | 0.264261 | − | 0.127261i | −0.297062 | − | 0.954858i | \(-0.596007\pi\) |
0.561323 | + | 0.827597i | \(0.310293\pi\) | |||||||
\(930\) | −9.41626e6 | + | 4.53463e6i | −0.357002 | + | 0.171923i | ||||
\(931\) | −1.11936e7 | − | 4.90422e7i | −0.423247 | − | 1.85437i | ||||
\(932\) | 1.37826e7 | − | 1.72828e7i | 0.519745 | − | 0.651740i | ||||
\(933\) | 4.03564e7 | + | 1.94346e7i | 1.51778 | + | 0.730923i | ||||
\(934\) | −1.12788e7 | + | 1.41432e7i | −0.423055 | + | 0.530494i | ||||
\(935\) | −4.04207e6 | + | 1.77095e7i | −0.151208 | + | 0.662485i | ||||
\(936\) | 2.86050e6 | − | 1.37754e6i | 0.106722 | − | 0.0513944i | ||||
\(937\) | 575534. | − | 2.52158e6i | 0.0214152 | − | 0.0938261i | −0.963091 | − | 0.269176i | \(-0.913249\pi\) |
0.984506 | + | 0.175350i | \(0.0561057\pi\) | |||||||
\(938\) | 1.87636e6 | + | 903607.i | 0.0696320 | + | 0.0335330i | ||||
\(939\) | −1.93474e7 | −0.716077 | ||||||||
\(940\) | 3.69570e6 | 0.136420 | ||||||||
\(941\) | 3.12432e7 | + | 1.50459e7i | 1.15022 | + | 0.553918i | 0.909100 | − | 0.416577i | \(-0.136770\pi\) |
0.241121 | + | 0.970495i | \(0.422485\pi\) | |||||||
\(942\) | 2.78950e6 | + | 1.22216e7i | 0.102423 | + | 0.448745i | ||||
\(943\) | 1.13375e7 | + | 1.42168e7i | 0.415181 | + | 0.520621i | ||||
\(944\) | 1.05113e6 | − | 1.31808e6i | 0.0383907 | − | 0.0481405i | ||||
\(945\) | 7.24053e6 | 0.263749 | ||||||||
\(946\) | 1.44269e6 | + | 2.17357e7i | 0.0524138 | + | 0.789671i | ||||
\(947\) | 5.09432e6 | 0.184591 | 0.0922956 | − | 0.995732i | \(-0.470580\pi\) | ||||
0.0922956 | + | 0.995732i | \(0.470580\pi\) | |||||||
\(948\) | −1.05606e7 | + | 1.32426e7i | −0.381654 | + | 0.478579i | ||||
\(949\) | 1.26618e7 | + | 1.58773e7i | 0.456382 | + | 0.572285i | ||||
\(950\) | 1.17301e7 | + | 5.13928e7i | 0.421689 | + | 1.84754i | ||||
\(951\) | −5.40901e6 | − | 2.60484e6i | −0.193939 | − | 0.0933963i | ||||
\(952\) | 1.15684e6 | 0.0413696 | ||||||||
\(953\) | 1.23766e7 | 0.441438 | 0.220719 | − | 0.975337i | \(-0.429160\pi\) | ||||
0.220719 | + | 0.975337i | \(0.429160\pi\) | |||||||
\(954\) | 378101. | + | 182084.i | 0.0134505 | + | 0.00647740i | ||||
\(955\) | 680263. | − | 2.98043e6i | 0.0241362 | − | 0.105747i | ||||
\(956\) | 1.37857e7 | − | 6.63883e6i | 0.487847 | − | 0.234935i | ||||
\(957\) | 1.46292e6 | − | 6.40948e6i | 0.0516346 | − | 0.226226i | ||||
\(958\) | −6.31160e6 | + | 7.91449e6i | −0.222190 | + | 0.278618i | ||||
\(959\) | −5.69530e6 | − | 2.74271e6i | −0.199972 | − | 0.0963017i | ||||
\(960\) | 1.14899e7 | − | 1.44079e7i | 0.402381 | − | 0.504570i | ||||
\(961\) | 5.03712e6 | + | 2.20691e7i | 0.175944 | + | 0.770859i | ||||
\(962\) | −2.03034e7 | + | 9.77760e6i | −0.707345 | + | 0.340639i | ||||
\(963\) | 5.06307e6 | − | 2.43824e6i | 0.175933 | − | 0.0847250i | ||||
\(964\) | −3.54290e6 | − | 4.44266e6i | −0.122791 | − | 0.153975i | ||||
\(965\) | 9.08303e6 | + | 3.97954e7i | 0.313988 | + | 1.37567i | ||||
\(966\) | 1.00680e6 | − | 4.41109e6i | 0.0347137 | − | 0.152091i | ||||
\(967\) | 1.99837e7 | + | 2.50587e7i | 0.687241 | + | 0.861773i | 0.995999 | − | 0.0893681i | \(-0.0284848\pi\) |
−0.308758 | + | 0.951141i | \(0.599913\pi\) | |||||||
\(968\) | −1.72449e7 | − | 2.16245e7i | −0.591525 | − | 0.741749i | ||||
\(969\) | −3.43355e6 | + | 1.50434e7i | −0.117472 | + | 0.514678i | ||||
\(970\) | −2.72010e6 | − | 1.19175e7i | −0.0928231 | − | 0.406684i | ||||
\(971\) | 1.82026e7 | + | 2.28253e7i | 0.619563 | + | 0.776907i | 0.988283 | − | 0.152634i | \(-0.0487754\pi\) |
−0.368720 | + | 0.929540i | \(0.620204\pi\) | |||||||
\(972\) | −4.49584e6 | + | 2.16508e6i | −0.152632 | + | 0.0735036i | ||||
\(973\) | −1.00356e6 | + | 483289.i | −0.0339829 | + | 0.0163653i | ||||
\(974\) | −5.55145e6 | − | 2.43225e7i | −0.187503 | − | 0.821506i | ||||
\(975\) | 3.05929e7 | − | 3.83622e7i | 1.03064 | − | 1.29239i | ||||
\(976\) | −3.10394e6 | − | 1.49478e6i | −0.104301 | − | 0.0502287i | ||||
\(977\) | 1.44929e7 | − | 1.81736e7i | 0.485758 | − | 0.609121i | −0.477193 | − | 0.878799i | \(-0.658346\pi\) |
0.962951 | + | 0.269677i | \(0.0869171\pi\) | |||||||
\(978\) | 410523. | − | 1.79862e6i | 0.0137243 | − | 0.0601302i | ||||
\(979\) | −2.25098e7 | + | 1.08401e7i | −0.750610 | + | 0.361475i | ||||
\(980\) | 7.44485e6 | − | 3.26180e7i | 0.247623 | − | 1.08491i | ||||
\(981\) | 3.05294e6 | + | 1.47022e6i | 0.101285 | + | 0.0487764i | ||||
\(982\) | 1.44648e7 | 0.478667 | ||||||||
\(983\) | 825823. | 0.0272586 | 0.0136293 | − | 0.999907i | \(-0.495662\pi\) | ||||
0.0136293 | + | 0.999907i | \(0.495662\pi\) | |||||||
\(984\) | 8.16494e6 | + | 3.93203e6i | 0.268822 | + | 0.129458i | ||||
\(985\) | −1.44753e6 | − | 6.34206e6i | −0.0475377 | − | 0.208276i | ||||
\(986\) | −539361. | − | 676337.i | −0.0176680 | − | 0.0221550i | ||||
\(987\) | 323909. | − | 406169.i | 0.0105835 | − | 0.0132713i | ||||
\(988\) | −4.16432e7 | −1.35722 | ||||||||
\(989\) | −4.47723e7 | + | 4.08381e7i | −1.45552 | + | 1.32762i | ||||
\(990\) | −5.00744e6 | −0.162378 | ||||||||
\(991\) | 3.41028e7 | − | 4.27635e7i | 1.10308 | − | 1.38321i | 0.186927 | − | 0.982374i | \(-0.440147\pi\) |
0.916148 | − | 0.400840i | \(-0.131282\pi\) | |||||||
\(992\) | 9.13236e6 | + | 1.14516e7i | 0.294648 | + | 0.369477i | ||||
\(993\) | −8.55522e6 | − | 3.74829e7i | −0.275333 | − | 1.20631i | ||||
\(994\) | 371633. | + | 178969.i | 0.0119302 | + | 0.00574529i | ||||
\(995\) | 8.30150e7 | 2.65827 | ||||||||
\(996\) | −1.88408e7 | −0.601799 | ||||||||
\(997\) | 2.48409e7 | + | 1.19628e7i | 0.791462 | + | 0.381148i | 0.785522 | − | 0.618834i | \(-0.212395\pi\) |
0.00594057 | + | 0.999982i | \(0.498109\pi\) | |||||||
\(998\) | −2.01859e6 | + | 8.84404e6i | −0.0641538 | + | 0.281076i | ||||
\(999\) | 4.14382e7 | − | 1.99556e7i | 1.31367 | − | 0.632631i |
(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 | 43.6.e.a.4.12 | ✓ | 108 | |
43.11 | even | 7 | inner | 43.6.e.a.11.12 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.6.e.a.4.12 | ✓ | 108 | 1.1 | even | 1 | trivial | |
43.6.e.a.11.12 | yes | 108 | 43.11 | even | 7 | inner |