Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,4,Mod(4,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.m (of order \(33\), degree \(20\), 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: | \(11.8593839112\) |
Analytic rank: | \(0\) |
Dimension: | \(360\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 4.6 | ||
Character | \(\chi\) | \(=\) | 201.4 |
Dual form | 201.4.m.b.151.6 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{33}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.29557 | − | 0.219201i | −0.811608 | − | 0.0774992i | −0.319005 | − | 0.947753i | \(-0.603349\pi\) |
−0.492603 | + | 0.870254i | \(0.663955\pi\) | |||||||
\(3\) | −2.52376 | − | 1.62192i | −0.485698 | − | 0.312139i | ||||
\(4\) | −2.63381 | − | 0.507626i | −0.329227 | − | 0.0634533i | ||||
\(5\) | 2.82242 | + | 19.6304i | 0.252445 | + | 1.75579i | 0.583436 | + | 0.812159i | \(0.301708\pi\) |
−0.330992 | + | 0.943634i | \(0.607383\pi\) | |||||||
\(6\) | 5.43795 | + | 4.27645i | 0.370006 | + | 0.290976i | ||||
\(7\) | −16.2624 | + | 22.8374i | −0.878089 | + | 1.23310i | 0.0933068 | + | 0.995637i | \(0.470256\pi\) |
−0.971396 | + | 0.237466i | \(0.923683\pi\) | |||||||
\(8\) | 23.6357 | + | 6.94007i | 1.04456 | + | 0.306711i | ||||
\(9\) | 3.73874 | + | 8.18669i | 0.138472 | + | 0.303211i | ||||
\(10\) | −2.17608 | − | 45.6816i | −0.0688138 | − | 1.44458i | ||||
\(11\) | 14.1670 | − | 11.1410i | 0.388319 | − | 0.305377i | −0.404845 | − | 0.914385i | \(-0.632675\pi\) |
0.793164 | + | 0.609008i | \(0.208432\pi\) | |||||||
\(12\) | 5.82379 | + | 5.55297i | 0.140099 | + | 0.133584i | ||||
\(13\) | 2.81122 | − | 11.5880i | 0.0599763 | − | 0.247226i | −0.933930 | − | 0.357457i | \(-0.883644\pi\) |
0.993906 | + | 0.110231i | \(0.0351591\pi\) | |||||||
\(14\) | 42.3376 | − | 48.8602i | 0.808229 | − | 0.932746i | ||||
\(15\) | 24.7158 | − | 54.1201i | 0.425440 | − | 0.931583i | ||||
\(16\) | −32.8151 | − | 13.1372i | −0.512735 | − | 0.205268i | ||||
\(17\) | −36.4151 | + | 7.01844i | −0.519527 | + | 0.100131i | −0.442273 | − | 0.896881i | \(-0.645828\pi\) |
−0.0772547 | + | 0.997011i | \(0.524615\pi\) | |||||||
\(18\) | −6.78802 | − | 19.6127i | −0.0888862 | − | 0.256820i | ||||
\(19\) | 41.0468 | + | 57.6422i | 0.495620 | + | 0.696001i | 0.984308 | − | 0.176457i | \(-0.0564637\pi\) |
−0.488688 | + | 0.872459i | \(0.662524\pi\) | |||||||
\(20\) | 2.53115 | − | 53.1354i | 0.0282992 | − | 0.594072i | ||||
\(21\) | 78.0830 | − | 31.2597i | 0.811386 | − | 0.324830i | ||||
\(22\) | −34.9635 | + | 22.4697i | −0.338829 | + | 0.217752i | ||||
\(23\) | −114.524 | + | 59.0412i | −1.03826 | + | 0.535258i | −0.891077 | − | 0.453852i | \(-0.850049\pi\) |
−0.147179 | + | 0.989110i | \(0.547019\pi\) | |||||||
\(24\) | −48.3946 | − | 55.8503i | −0.411604 | − | 0.475017i | ||||
\(25\) | −257.448 | + | 75.5936i | −2.05959 | + | 0.604749i | ||||
\(26\) | −8.99347 | + | 25.9849i | −0.0678371 | + | 0.196002i | ||||
\(27\) | 3.84250 | − | 26.7252i | 0.0273885 | − | 0.190491i | ||||
\(28\) | 54.4251 | − | 51.8942i | 0.367335 | − | 0.350253i | ||||
\(29\) | −9.88774 | − | 17.1261i | −0.0633140 | − | 0.109663i | 0.832631 | − | 0.553828i | \(-0.186834\pi\) |
−0.895945 | + | 0.444165i | \(0.853500\pi\) | |||||||
\(30\) | −68.6002 | + | 118.819i | −0.417487 | + | 0.723109i | ||||
\(31\) | 58.4584 | + | 240.969i | 0.338692 | + | 1.39611i | 0.845467 | + | 0.534028i | \(0.179322\pi\) |
−0.506775 | + | 0.862078i | \(0.669163\pi\) | |||||||
\(32\) | −102.711 | − | 52.9515i | −0.567406 | − | 0.292518i | ||||
\(33\) | −53.8240 | + | 5.13957i | −0.283926 | + | 0.0271116i | ||||
\(34\) | 85.1321 | − | 8.12913i | 0.429413 | − | 0.0410039i | ||||
\(35\) | −494.206 | − | 254.781i | −2.38674 | − | 1.23045i | ||||
\(36\) | −5.69136 | − | 23.4601i | −0.0263489 | − | 0.108612i | ||||
\(37\) | 103.050 | − | 178.488i | 0.457875 | − | 0.793062i | −0.540974 | − | 0.841039i | \(-0.681944\pi\) |
0.998848 | + | 0.0479772i | \(0.0152775\pi\) | |||||||
\(38\) | −81.5908 | − | 141.319i | −0.348310 | − | 0.603291i | ||||
\(39\) | −25.8897 | + | 24.6858i | −0.106299 | + | 0.101356i | ||||
\(40\) | −69.5262 | + | 483.565i | −0.274826 | + | 1.91146i | ||||
\(41\) | 52.1846 | − | 150.778i | 0.198777 | − | 0.574329i | −0.800924 | − | 0.598766i | \(-0.795658\pi\) |
0.999701 | + | 0.0244366i | \(0.00777919\pi\) | |||||||
\(42\) | −186.097 | + | 54.6432i | −0.683702 | + | 0.200753i | ||||
\(43\) | −157.201 | − | 181.420i | −0.557511 | − | 0.643402i | 0.405106 | − | 0.914270i | \(-0.367235\pi\) |
−0.962616 | + | 0.270868i | \(0.912689\pi\) | |||||||
\(44\) | −42.9687 | + | 22.1519i | −0.147222 | + | 0.0758983i | ||||
\(45\) | −150.155 | + | 96.4990i | −0.497419 | + | 0.319672i | ||||
\(46\) | 275.840 | − | 110.430i | 0.884139 | − | 0.353956i | ||||
\(47\) | 14.8329 | − | 311.381i | 0.0460341 | − | 0.966376i | −0.851206 | − | 0.524832i | \(-0.824128\pi\) |
0.897240 | − | 0.441543i | \(-0.145569\pi\) | |||||||
\(48\) | 61.5099 | + | 86.3786i | 0.184962 | + | 0.259743i | ||||
\(49\) | −144.896 | − | 418.648i | −0.422436 | − | 1.22055i | ||||
\(50\) | 607.562 | − | 117.098i | 1.71844 | − | 0.331203i | ||||
\(51\) | 103.286 | + | 41.3496i | 0.283588 | + | 0.113532i | ||||
\(52\) | −13.2866 | + | 29.0936i | −0.0354331 | + | 0.0775876i | ||||
\(53\) | 95.9517 | − | 110.734i | 0.248679 | − | 0.286991i | −0.617662 | − | 0.786443i | \(-0.711920\pi\) |
0.866341 | + | 0.499453i | \(0.166466\pi\) | |||||||
\(54\) | −14.6789 | + | 60.5074i | −0.0369917 | + | 0.152482i | ||||
\(55\) | 258.688 | + | 246.658i | 0.634208 | + | 0.604716i | ||||
\(56\) | −542.867 | + | 426.915i | −1.29542 | + | 1.01873i | ||||
\(57\) | −10.1012 | − | 212.050i | −0.0234725 | − | 0.492749i | ||||
\(58\) | 18.9440 | + | 41.4816i | 0.0428874 | + | 0.0939103i | ||||
\(59\) | −738.150 | − | 216.740i | −1.62880 | − | 0.478258i | −0.665433 | − | 0.746458i | \(-0.731753\pi\) |
−0.963363 | + | 0.268200i | \(0.913571\pi\) | |||||||
\(60\) | −92.5696 | + | 129.996i | −0.199178 | + | 0.279706i | ||||
\(61\) | 372.409 | + | 292.866i | 0.781673 | + | 0.614715i | 0.927169 | − | 0.374644i | \(-0.122235\pi\) |
−0.145495 | + | 0.989359i | \(0.546478\pi\) | |||||||
\(62\) | −81.3751 | − | 565.976i | −0.166688 | − | 1.15934i | ||||
\(63\) | −247.764 | − | 47.7525i | −0.495481 | − | 0.0954961i | ||||
\(64\) | 462.062 | + | 296.949i | 0.902464 | + | 0.579978i | ||||
\(65\) | 235.411 | + | 22.4790i | 0.449218 | + | 0.0428951i | ||||
\(66\) | 124.684 | 0.232538 | ||||||||
\(67\) | −248.508 | − | 488.883i | −0.453136 | − | 0.891441i | ||||
\(68\) | 99.4734 | 0.177396 | ||||||||
\(69\) | 384.791 | + | 36.7431i | 0.671354 | + | 0.0641065i | ||||
\(70\) | 1078.64 | + | 693.199i | 1.84174 | + | 1.18362i | ||||
\(71\) | 164.547 | + | 31.7139i | 0.275045 | + | 0.0530106i | 0.324908 | − | 0.945745i | \(-0.394667\pi\) |
−0.0498635 | + | 0.998756i | \(0.515879\pi\) | |||||||
\(72\) | 31.5515 | + | 219.445i | 0.0516441 | + | 0.359193i | ||||
\(73\) | 460.399 | + | 362.061i | 0.738159 | + | 0.580494i | 0.914860 | − | 0.403770i | \(-0.132300\pi\) |
−0.176702 | + | 0.984264i | \(0.556543\pi\) | |||||||
\(74\) | −275.684 | + | 387.145i | −0.433077 | + | 0.608171i | ||||
\(75\) | 772.345 | + | 226.781i | 1.18910 | + | 0.349152i | ||||
\(76\) | −78.8490 | − | 172.655i | −0.119008 | − | 0.260591i | ||||
\(77\) | 24.0427 | + | 504.717i | 0.0355833 | + | 0.746986i | ||||
\(78\) | 64.8429 | − | 50.9930i | 0.0941283 | − | 0.0740233i | ||||
\(79\) | −609.832 | − | 581.473i | −0.868499 | − | 0.828112i | 0.117807 | − | 0.993037i | \(-0.462414\pi\) |
−0.986306 | + | 0.164924i | \(0.947262\pi\) | |||||||
\(80\) | 165.269 | − | 681.250i | 0.230971 | − | 0.952076i | ||||
\(81\) | −53.0437 | + | 61.2157i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | −152.844 | + | 334.682i | −0.205839 | + | 0.450725i | ||||
\(83\) | −658.025 | − | 263.433i | −0.870212 | − | 0.348380i | −0.106791 | − | 0.994282i | \(-0.534058\pi\) |
−0.763421 | + | 0.645901i | \(0.776482\pi\) | |||||||
\(84\) | −221.524 | + | 42.6953i | −0.287741 | + | 0.0554576i | ||||
\(85\) | −240.553 | − | 695.033i | −0.306961 | − | 0.886905i | ||||
\(86\) | 321.100 | + | 450.922i | 0.402617 | + | 0.565397i | ||||
\(87\) | −2.82287 | + | 59.2592i | −0.00347865 | + | 0.0730259i | ||||
\(88\) | 412.166 | − | 165.006i | 0.499285 | − | 0.199883i | ||||
\(89\) | 143.988 | − | 92.5356i | 0.171491 | − | 0.110211i | −0.452080 | − | 0.891978i | \(-0.649318\pi\) |
0.623571 | + | 0.781767i | \(0.285681\pi\) | |||||||
\(90\) | 365.845 | − | 188.606i | 0.428483 | − | 0.220899i | ||||
\(91\) | 218.923 | + | 252.650i | 0.252190 | + | 0.291043i | ||||
\(92\) | 331.605 | − | 97.3681i | 0.375785 | − | 0.110341i | ||||
\(93\) | 243.298 | − | 702.963i | 0.271278 | − | 0.783805i | ||||
\(94\) | −102.305 | + | 711.548i | −0.112255 | + | 0.780751i | ||||
\(95\) | −1015.69 | + | 968.454i | −1.09692 | + | 1.04591i | ||||
\(96\) | 173.336 | + | 300.227i | 0.184282 | + | 0.319185i | ||||
\(97\) | −857.140 | + | 1484.61i | −0.897210 | + | 1.55401i | −0.0661652 | + | 0.997809i | \(0.521076\pi\) |
−0.831045 | + | 0.556205i | \(0.812257\pi\) | |||||||
\(98\) | 240.851 | + | 992.799i | 0.248261 | + | 1.02335i | ||||
\(99\) | 144.175 | + | 74.3273i | 0.146365 | + | 0.0754563i | ||||
\(100\) | 716.444 | − | 68.4121i | 0.716444 | − | 0.0684121i | ||||
\(101\) | 1198.83 | − | 114.475i | 1.18107 | − | 0.112779i | 0.514012 | − | 0.857783i | \(-0.328159\pi\) |
0.667060 | + | 0.745004i | \(0.267552\pi\) | |||||||
\(102\) | −228.038 | − | 117.562i | −0.221364 | − | 0.114121i | ||||
\(103\) | 351.016 | + | 1446.91i | 0.335793 | + | 1.38416i | 0.850132 | + | 0.526570i | \(0.176522\pi\) |
−0.514339 | + | 0.857587i | \(0.671963\pi\) | |||||||
\(104\) | 146.867 | − | 254.381i | 0.138476 | − | 0.239847i | ||||
\(105\) | 834.022 | + | 1444.57i | 0.775164 | + | 1.34262i | ||||
\(106\) | −244.537 | + | 233.166i | −0.224071 | + | 0.213652i | ||||
\(107\) | 255.910 | − | 1779.89i | 0.231212 | − | 1.60812i | −0.461660 | − | 0.887057i | \(-0.652746\pi\) |
0.692872 | − | 0.721060i | \(-0.256345\pi\) | |||||||
\(108\) | −23.6868 | + | 68.4386i | −0.0211043 | + | 0.0609769i | ||||
\(109\) | 439.874 | − | 129.159i | 0.386535 | − | 0.113497i | −0.0826906 | − | 0.996575i | \(-0.526351\pi\) |
0.469226 | + | 0.883078i | \(0.344533\pi\) | |||||||
\(110\) | −539.769 | − | 622.927i | −0.467864 | − | 0.539943i | ||||
\(111\) | −549.569 | + | 283.322i | −0.469935 | + | 0.242268i | ||||
\(112\) | 833.672 | − | 535.768i | 0.703344 | − | 0.452012i | ||||
\(113\) | 1884.57 | − | 754.469i | 1.56890 | − | 0.628092i | 0.585683 | − | 0.810540i | \(-0.300826\pi\) |
0.983216 | + | 0.182448i | \(0.0584020\pi\) | |||||||
\(114\) | −23.2935 | + | 488.991i | −0.0191372 | + | 0.401738i | ||||
\(115\) | −1482.23 | − | 2081.51i | −1.20190 | − | 1.68784i | ||||
\(116\) | 17.3488 | + | 50.1261i | 0.0138862 | + | 0.0401215i | ||||
\(117\) | 105.378 | − | 20.3099i | 0.0832665 | − | 0.0160483i | ||||
\(118\) | 1646.97 | + | 659.347i | 1.28488 | + | 0.514388i | ||||
\(119\) | 431.916 | − | 945.763i | 0.332720 | − | 0.728555i | ||||
\(120\) | 959.772 | − | 1107.64i | 0.730124 | − | 0.842608i | ||||
\(121\) | −237.214 | + | 977.811i | −0.178223 | + | 0.734644i | ||||
\(122\) | −790.696 | − | 753.927i | −0.586773 | − | 0.559487i | ||||
\(123\) | −376.251 | + | 295.887i | −0.275816 | + | 0.216904i | ||||
\(124\) | −31.6465 | − | 664.342i | −0.0229189 | − | 0.481127i | ||||
\(125\) | −1180.73 | − | 2585.44i | −0.844863 | − | 1.84999i | ||||
\(126\) | 558.292 | + | 163.929i | 0.394735 | + | 0.115905i | ||||
\(127\) | −772.546 | + | 1084.89i | −0.539783 | + | 0.758019i | −0.990922 | − | 0.134435i | \(-0.957078\pi\) |
0.451140 | + | 0.892453i | \(0.351018\pi\) | |||||||
\(128\) | −268.932 | − | 211.490i | −0.185706 | − | 0.146041i | ||||
\(129\) | 102.489 | + | 712.829i | 0.0699510 | + | 0.486520i | ||||
\(130\) | −535.477 | − | 103.205i | −0.361265 | − | 0.0696280i | ||||
\(131\) | 2228.14 | + | 1431.94i | 1.48606 | + | 0.955032i | 0.996547 | + | 0.0830365i | \(0.0264618\pi\) |
0.489513 | + | 0.871996i | \(0.337175\pi\) | |||||||
\(132\) | 144.371 | + | 13.7858i | 0.0951963 | + | 0.00909014i | ||||
\(133\) | −1983.92 | −1.29344 | ||||||||
\(134\) | 463.306 | + | 1176.74i | 0.298683 | + | 0.758619i | ||||
\(135\) | 535.470 | 0.341377 | ||||||||
\(136\) | −909.405 | − | 86.8377i | −0.573389 | − | 0.0547520i | ||||
\(137\) | −1495.51 | − | 961.109i | −0.932631 | − | 0.599366i | −0.0163347 | − | 0.999867i | \(-0.505200\pi\) |
−0.916296 | + | 0.400501i | \(0.868836\pi\) | |||||||
\(138\) | −875.263 | − | 168.693i | −0.539908 | − | 0.104059i | ||||
\(139\) | −321.782 | − | 2238.04i | −0.196354 | − | 1.36567i | −0.814753 | − | 0.579808i | \(-0.803127\pi\) |
0.618399 | − | 0.785864i | \(-0.287782\pi\) | |||||||
\(140\) | 1172.31 | + | 921.917i | 0.707704 | + | 0.556544i | ||||
\(141\) | −542.471 | + | 761.794i | −0.324002 | + | 0.454998i | ||||
\(142\) | −370.779 | − | 108.871i | −0.219120 | − | 0.0643396i | ||||
\(143\) | −89.2759 | − | 195.487i | −0.0522072 | − | 0.114318i | ||||
\(144\) | −15.1369 | − | 317.763i | −0.00875979 | − | 0.183891i | ||||
\(145\) | 308.283 | − | 242.437i | 0.176562 | − | 0.138850i | ||||
\(146\) | −977.515 | − | 932.059i | −0.554108 | − | 0.528341i | ||||
\(147\) | −313.333 | + | 1291.58i | −0.175805 | + | 0.724677i | ||||
\(148\) | −362.021 | + | 417.794i | −0.201067 | + | 0.232044i | ||||
\(149\) | −239.890 | + | 525.285i | −0.131896 | + | 0.288812i | −0.964045 | − | 0.265741i | \(-0.914383\pi\) |
0.832148 | + | 0.554553i | \(0.187111\pi\) | |||||||
\(150\) | −1723.26 | − | 689.891i | −0.938027 | − | 0.375529i | ||||
\(151\) | −1545.57 | + | 297.885i | −0.832960 | + | 0.160540i | −0.587865 | − | 0.808959i | \(-0.700031\pi\) |
−0.245095 | + | 0.969499i | \(0.578819\pi\) | |||||||
\(152\) | 570.130 | + | 1647.28i | 0.304234 | + | 0.879027i | ||||
\(153\) | −193.604 | − | 271.879i | −0.102300 | − | 0.143661i | ||||
\(154\) | 55.4428 | − | 1163.89i | 0.0290111 | − | 0.609017i | ||||
\(155\) | −4565.31 | + | 1827.68i | −2.36577 | + | 0.947112i | ||||
\(156\) | 80.7198 | − | 51.8755i | 0.0414279 | − | 0.0266241i | ||||
\(157\) | −2436.63 | + | 1256.17i | −1.23862 | + | 0.638555i | −0.947996 | − | 0.318281i | \(-0.896894\pi\) |
−0.290628 | + | 0.956836i | \(0.593864\pi\) | |||||||
\(158\) | 1272.46 | + | 1468.49i | 0.640703 | + | 0.739411i | ||||
\(159\) | −421.761 | + | 123.840i | −0.210364 | + | 0.0617684i | ||||
\(160\) | 749.561 | − | 2165.71i | 0.370363 | − | 1.07009i | ||||
\(161\) | 514.091 | − | 3575.58i | 0.251652 | − | 1.75028i | ||||
\(162\) | 135.184 | − | 128.898i | 0.0655623 | − | 0.0625135i | ||||
\(163\) | −132.300 | − | 229.150i | −0.0635738 | − | 0.110113i | 0.832487 | − | 0.554045i | \(-0.186916\pi\) |
−0.896060 | + | 0.443932i | \(0.853583\pi\) | |||||||
\(164\) | −213.983 | + | 370.630i | −0.101886 | + | 0.176472i | ||||
\(165\) | −252.805 | − | 1042.08i | −0.119278 | − | 0.491671i | ||||
\(166\) | 1452.80 | + | 748.970i | 0.679272 | + | 0.350189i | ||||
\(167\) | −3844.46 | + | 367.102i | −1.78140 | + | 0.170103i | −0.933148 | − | 0.359493i | \(-0.882950\pi\) |
−0.848250 | + | 0.529596i | \(0.822344\pi\) | |||||||
\(168\) | 2062.49 | − | 196.944i | 0.947170 | − | 0.0904438i | ||||
\(169\) | 1826.39 | + | 941.571i | 0.831312 | + | 0.428571i | ||||
\(170\) | 399.856 | + | 1648.23i | 0.180397 | + | 0.743608i | ||||
\(171\) | −318.435 | + | 551.546i | −0.142406 | + | 0.246654i | ||||
\(172\) | 321.945 | + | 557.626i | 0.142722 | + | 0.247201i | ||||
\(173\) | −281.993 | + | 268.880i | −0.123928 | + | 0.118165i | −0.749509 | − | 0.661994i | \(-0.769710\pi\) |
0.625581 | + | 0.780159i | \(0.284862\pi\) | |||||||
\(174\) | 19.4698 | − | 135.415i | 0.00848276 | − | 0.0589989i | ||||
\(175\) | 2460.37 | − | 7108.78i | 1.06278 | − | 3.07071i | ||||
\(176\) | −611.252 | + | 179.480i | −0.261789 | + | 0.0768682i | ||||
\(177\) | 1511.38 | + | 1744.22i | 0.641820 | + | 0.740700i | ||||
\(178\) | −350.820 | + | 180.860i | −0.147725 | + | 0.0761575i | ||||
\(179\) | −3787.78 | + | 2434.26i | −1.58163 | + | 1.01645i | −0.606429 | + | 0.795138i | \(0.707399\pi\) |
−0.975202 | + | 0.221315i | \(0.928965\pi\) | |||||||
\(180\) | 444.467 | − | 177.938i | 0.184048 | − | 0.0736816i | ||||
\(181\) | 143.801 | − | 3018.75i | 0.0590532 | − | 1.23968i | −0.753758 | − | 0.657152i | \(-0.771761\pi\) |
0.812811 | − | 0.582527i | \(-0.197936\pi\) | |||||||
\(182\) | −447.172 | − | 627.965i | −0.182124 | − | 0.255758i | ||||
\(183\) | −464.866 | − | 1343.14i | −0.187781 | − | 0.542556i | ||||
\(184\) | −3116.60 | + | 600.676i | −1.24869 | + | 0.240665i | ||||
\(185\) | 3794.64 | + | 1519.15i | 1.50804 | + | 0.603729i | ||||
\(186\) | −712.598 | + | 1560.37i | −0.280915 | + | 0.615119i | ||||
\(187\) | −437.700 | + | 505.132i | −0.171165 | + | 0.197534i | ||||
\(188\) | −197.133 | + | 812.591i | −0.0764753 | + | 0.315236i | ||||
\(189\) | 547.845 | + | 522.369i | 0.210846 | + | 0.201041i | ||||
\(190\) | 2543.87 | − | 2000.52i | 0.971324 | − | 0.763858i | ||||
\(191\) | 85.3136 | + | 1790.95i | 0.0323198 | + | 0.678475i | 0.955656 | + | 0.294484i | \(0.0951478\pi\) |
−0.923337 | + | 0.383991i | \(0.874549\pi\) | |||||||
\(192\) | −684.505 | − | 1498.86i | −0.257291 | − | 0.563389i | ||||
\(193\) | 221.621 | + | 65.0739i | 0.0826563 | + | 0.0242701i | 0.322799 | − | 0.946467i | \(-0.395376\pi\) |
−0.240143 | + | 0.970738i | \(0.577194\pi\) | |||||||
\(194\) | 2293.06 | − | 3220.15i | 0.848618 | − | 1.19172i | ||||
\(195\) | −557.662 | − | 438.550i | −0.204795 | − | 0.161053i | ||||
\(196\) | 169.111 | + | 1176.19i | 0.0616294 | + | 0.428642i | ||||
\(197\) | 1605.94 | + | 309.520i | 0.580805 | + | 0.111941i | 0.471188 | − | 0.882033i | \(-0.343825\pi\) |
0.109617 | + | 0.993974i | \(0.465038\pi\) | |||||||
\(198\) | −314.671 | − | 202.227i | −0.112943 | − | 0.0725841i | ||||
\(199\) | 4813.85 | + | 459.667i | 1.71480 | + | 0.163743i | 0.905696 | − | 0.423927i | \(-0.139349\pi\) |
0.809100 | + | 0.587670i | \(0.199955\pi\) | |||||||
\(200\) | −6609.60 | −2.33684 | ||||||||
\(201\) | −165.755 | + | 1636.88i | −0.0581664 | + | 0.574413i | ||||
\(202\) | −2777.10 | −0.967308 | ||||||||
\(203\) | 551.913 | + | 52.7013i | 0.190821 | + | 0.0182212i | ||||
\(204\) | −251.047 | − | 161.338i | −0.0861608 | − | 0.0553722i | ||||
\(205\) | 3107.10 | + | 598.845i | 1.05858 | + | 0.204025i | ||||
\(206\) | −488.620 | − | 3398.43i | −0.165261 | − | 1.14942i | ||||
\(207\) | −911.526 | − | 716.832i | −0.306065 | − | 0.240692i | ||||
\(208\) | −244.484 | + | 343.330i | −0.0814996 | + | 0.114450i | ||||
\(209\) | 1223.70 | + | 359.312i | 0.405002 | + | 0.118919i | ||||
\(210\) | −1597.91 | − | 3498.93i | −0.525077 | − | 1.14976i | ||||
\(211\) | 181.103 | + | 3801.82i | 0.0590884 | + | 1.24042i | 0.812536 | + | 0.582911i | \(0.198086\pi\) |
−0.753448 | + | 0.657508i | \(0.771611\pi\) | |||||||
\(212\) | −308.930 | + | 242.946i | −0.100082 | + | 0.0787055i | ||||
\(213\) | −363.841 | − | 346.922i | −0.117042 | − | 0.111599i | ||||
\(214\) | −977.613 | + | 4029.78i | −0.312282 | + | 1.28724i | ||||
\(215\) | 3117.65 | − | 3597.96i | 0.988939 | − | 1.14130i | ||||
\(216\) | 276.295 | − | 605.001i | 0.0870346 | − | 0.190579i | ||||
\(217\) | −6453.78 | − | 2583.70i | −2.01895 | − | 0.808264i | ||||
\(218\) | −1038.08 | + | 200.073i | −0.322511 | + | 0.0621589i | ||||
\(219\) | −574.700 | − | 1660.49i | −0.177327 | − | 0.512353i | ||||
\(220\) | −556.125 | − | 780.969i | −0.170427 | − | 0.239331i | ||||
\(221\) | −21.0412 | + | 441.709i | −0.00640445 | + | 0.134446i | ||||
\(222\) | 1323.68 | − | 529.922i | 0.400178 | − | 0.160207i | ||||
\(223\) | −193.525 | + | 124.371i | −0.0581140 | + | 0.0373476i | −0.569375 | − | 0.822078i | \(-0.692815\pi\) |
0.511261 | + | 0.859425i | \(0.329178\pi\) | |||||||
\(224\) | 2879.61 | − | 1484.54i | 0.858938 | − | 0.442814i | ||||
\(225\) | −1581.39 | − | 1825.02i | −0.468561 | − | 0.540748i | ||||
\(226\) | −4491.56 | + | 1318.84i | −1.32201 | + | 0.388177i | ||||
\(227\) | −640.372 | + | 1850.23i | −0.187238 | + | 0.540988i | −0.999080 | − | 0.0428890i | \(-0.986344\pi\) |
0.811842 | + | 0.583877i | \(0.198465\pi\) | |||||||
\(228\) | −81.0374 | + | 563.628i | −0.0235387 | + | 0.163716i | ||||
\(229\) | 1699.96 | − | 1620.91i | 0.490553 | − | 0.467741i | −0.403964 | − | 0.914775i | \(-0.632368\pi\) |
0.894517 | + | 0.447033i | \(0.147520\pi\) | |||||||
\(230\) | 2946.31 | + | 5103.16i | 0.844669 | + | 1.46301i | ||||
\(231\) | 757.935 | − | 1312.78i | 0.215881 | − | 0.373916i | ||||
\(232\) | −114.848 | − | 473.408i | −0.0325005 | − | 0.133969i | ||||
\(233\) | −2282.95 | − | 1176.94i | −0.641892 | − | 0.330918i | 0.106365 | − | 0.994327i | \(-0.466079\pi\) |
−0.748257 | + | 0.663409i | \(0.769109\pi\) | |||||||
\(234\) | −246.355 | + | 23.5240i | −0.0688235 | + | 0.00657185i | ||||
\(235\) | 6154.39 | − | 587.673i | 1.70838 | − | 0.163130i | ||||
\(236\) | 1834.13 | + | 945.558i | 0.505896 | + | 0.260808i | ||||
\(237\) | 595.965 | + | 2456.60i | 0.163342 | + | 0.673305i | ||||
\(238\) | −1198.81 | + | 2076.39i | −0.326500 | + | 0.565515i | ||||
\(239\) | 1087.96 | + | 1884.39i | 0.294452 | + | 0.510006i | 0.974857 | − | 0.222830i | \(-0.0715296\pi\) |
−0.680405 | + | 0.732836i | \(0.738196\pi\) | |||||||
\(240\) | −1522.04 | + | 1451.26i | −0.409362 | + | 0.390326i | ||||
\(241\) | −529.235 | + | 3680.91i | −0.141456 | + | 0.983851i | 0.788199 | + | 0.615421i | \(0.211014\pi\) |
−0.929655 | + | 0.368430i | \(0.879895\pi\) | |||||||
\(242\) | 758.881 | − | 2192.64i | 0.201581 | − | 0.582431i | ||||
\(243\) | 233.157 | − | 68.4610i | 0.0615515 | − | 0.0180732i | ||||
\(244\) | −832.190 | − | 960.398i | −0.218342 | − | 0.251980i | ||||
\(245\) | 7809.26 | − | 4025.95i | 2.03639 | − | 1.04983i | ||||
\(246\) | 928.571 | − | 596.756i | 0.240665 | − | 0.154666i | ||||
\(247\) | 783.350 | − | 313.606i | 0.201795 | − | 0.0807865i | ||||
\(248\) | −290.635 | + | 6101.17i | −0.0744166 | + | 1.56220i | ||||
\(249\) | 1233.43 | + | 1732.11i | 0.313917 | + | 0.440835i | ||||
\(250\) | 2143.73 | + | 6193.89i | 0.542325 | + | 1.56694i | ||||
\(251\) | −371.681 | + | 71.6357i | −0.0934674 | + | 0.0180144i | −0.235770 | − | 0.971809i | \(-0.575761\pi\) |
0.142303 | + | 0.989823i | \(0.454549\pi\) | |||||||
\(252\) | 628.323 | + | 251.543i | 0.157066 | + | 0.0628797i | ||||
\(253\) | −964.678 | + | 2112.35i | −0.239719 | + | 0.524910i | ||||
\(254\) | 2011.25 | − | 2321.10i | 0.496838 | − | 0.573381i | ||||
\(255\) | −520.191 | + | 2144.26i | −0.127747 | + | 0.526582i | ||||
\(256\) | −2609.11 | − | 2487.79i | −0.636991 | − | 0.607370i | ||||
\(257\) | 220.921 | − | 173.734i | 0.0536212 | − | 0.0421682i | −0.590989 | − | 0.806680i | \(-0.701262\pi\) |
0.644610 | + | 0.764512i | \(0.277020\pi\) | |||||||
\(258\) | −79.0192 | − | 1658.82i | −0.0190679 | − | 0.400285i | ||||
\(259\) | 2400.36 | + | 5256.06i | 0.575873 | + | 1.26099i | ||||
\(260\) | −608.618 | − | 178.706i | −0.145173 | − | 0.0426266i | ||||
\(261\) | 103.238 | − | 144.978i | 0.0244838 | − | 0.0343827i | ||||
\(262\) | −4800.99 | − | 3775.54i | −1.13208 | − | 0.890281i | ||||
\(263\) | −393.360 | − | 2735.88i | −0.0922267 | − | 0.641451i | −0.982533 | − | 0.186089i | \(-0.940419\pi\) |
0.890306 | − | 0.455362i | \(-0.150490\pi\) | |||||||
\(264\) | −1307.84 | − | 252.065i | −0.304893 | − | 0.0587633i | ||||
\(265\) | 2444.57 | + | 1571.03i | 0.566674 | + | 0.364179i | ||||
\(266\) | 4554.23 | + | 434.877i | 1.04977 | + | 0.100241i | ||||
\(267\) | −513.477 | −0.117694 | ||||||||
\(268\) | 406.355 | + | 1413.78i | 0.0926197 | + | 0.322239i | ||||
\(269\) | 172.959 | 0.0392027 | 0.0196013 | − | 0.999808i | \(-0.493760\pi\) | ||||
0.0196013 | + | 0.999808i | \(0.493760\pi\) | |||||||
\(270\) | −1229.21 | − | 117.375i | −0.277065 | − | 0.0264565i | ||||
\(271\) | 2823.65 | + | 1814.65i | 0.632931 | + | 0.406760i | 0.817394 | − | 0.576079i | \(-0.195418\pi\) |
−0.184463 | + | 0.982840i | \(0.559054\pi\) | |||||||
\(272\) | 1287.17 | + | 248.081i | 0.286934 | + | 0.0553019i | ||||
\(273\) | −142.729 | − | 992.704i | −0.0316424 | − | 0.220078i | ||||
\(274\) | 3222.39 | + | 2534.12i | 0.710481 | + | 0.558728i | ||||
\(275\) | −2805.07 | + | 3939.17i | −0.615099 | + | 0.863786i | ||||
\(276\) | −994.816 | − | 292.104i | −0.216960 | − | 0.0637052i | ||||
\(277\) | 899.249 | + | 1969.08i | 0.195056 | + | 0.427114i | 0.981736 | − | 0.190247i | \(-0.0609290\pi\) |
−0.786680 | + | 0.617361i | \(0.788202\pi\) | |||||||
\(278\) | 248.094 | + | 5208.13i | 0.0535241 | + | 1.12361i | ||||
\(279\) | −1754.18 | + | 1379.50i | −0.376415 | + | 0.296016i | ||||
\(280\) | −9912.70 | − | 9451.74i | −2.11570 | − | 2.01732i | ||||
\(281\) | 965.572 | − | 3980.14i | 0.204986 | − | 0.844965i | −0.772679 | − | 0.634797i | \(-0.781084\pi\) |
0.977665 | − | 0.210168i | \(-0.0674012\pi\) | |||||||
\(282\) | 1412.27 | − | 1629.85i | 0.298225 | − | 0.344170i | ||||
\(283\) | 1044.76 | − | 2287.71i | 0.219451 | − | 0.480530i | −0.767602 | − | 0.640927i | \(-0.778550\pi\) |
0.987053 | + | 0.160397i | \(0.0512774\pi\) | |||||||
\(284\) | −417.289 | − | 167.057i | −0.0871885 | − | 0.0349050i | ||||
\(285\) | 4134.10 | − | 796.783i | 0.859239 | − | 0.165605i | ||||
\(286\) | 162.089 | + | 468.324i | 0.0335122 | + | 0.0968273i | ||||
\(287\) | 2594.72 | + | 3643.77i | 0.533663 | + | 0.749425i | ||||
\(288\) | 49.4860 | − | 1038.84i | 0.0101250 | − | 0.212549i | ||||
\(289\) | −3284.27 | + | 1314.82i | −0.668485 | + | 0.267621i | ||||
\(290\) | −760.830 | + | 488.956i | −0.154060 | + | 0.0990085i | ||||
\(291\) | 4571.14 | − | 2356.59i | 0.920842 | − | 0.474727i | ||||
\(292\) | −1028.81 | − | 1187.31i | −0.206187 | − | 0.237953i | ||||
\(293\) | −6370.21 | + | 1870.46i | −1.27014 | + | 0.372948i | −0.846260 | − | 0.532770i | \(-0.821151\pi\) |
−0.423883 | + | 0.905717i | \(0.639333\pi\) | |||||||
\(294\) | 1002.39 | − | 2896.23i | 0.198846 | − | 0.574529i | ||||
\(295\) | 2171.32 | − | 15101.9i | 0.428540 | − | 2.98056i | ||||
\(296\) | 3674.39 | − | 3503.52i | 0.721518 | − | 0.687966i | ||||
\(297\) | −243.310 | − | 421.425i | −0.0475362 | − | 0.0823351i | ||||
\(298\) | 665.827 | − | 1153.25i | 0.129431 | − | 0.224181i | ||||
\(299\) | 362.218 | + | 1493.08i | 0.0700588 | + | 0.288786i | ||||
\(300\) | −1919.09 | − | 989.361i | −0.369330 | − | 0.190403i | ||||
\(301\) | 6699.63 | − | 639.737i | 1.28292 | − | 0.122504i | ||||
\(302\) | 3613.27 | − | 345.026i | 0.688479 | − | 0.0657417i | ||||
\(303\) | −3211.24 | − | 1655.51i | −0.608847 | − | 0.313883i | ||||
\(304\) | −589.699 | − | 2430.77i | −0.111255 | − | 0.458600i | ||||
\(305\) | −4697.96 | + | 8137.11i | −0.881982 | + | 1.52764i | ||||
\(306\) | 384.837 | + | 666.557i | 0.0718943 | + | 0.124525i | ||||
\(307\) | −3538.52 | + | 3373.97i | −0.657831 | + | 0.627240i | −0.943612 | − | 0.331055i | \(-0.892596\pi\) |
0.285781 | + | 0.958295i | \(0.407747\pi\) | |||||||
\(308\) | 192.884 | − | 1341.54i | 0.0356837 | − | 0.248186i | ||||
\(309\) | 1460.89 | − | 4220.97i | 0.268956 | − | 0.777096i | ||||
\(310\) | 10880.6 | − | 3194.85i | 1.99348 | − | 0.585339i | ||||
\(311\) | −6941.53 | − | 8010.95i | −1.26565 | − | 1.46064i | −0.827222 | − | 0.561875i | \(-0.810080\pi\) |
−0.438430 | − | 0.898765i | \(-0.644465\pi\) | |||||||
\(312\) | −783.242 | + | 403.789i | −0.142123 | + | 0.0732694i | ||||
\(313\) | −6221.82 | + | 3998.52i | −1.12357 | + | 0.722075i | −0.964209 | − | 0.265145i | \(-0.914580\pi\) |
−0.159363 | + | 0.987220i | \(0.550944\pi\) | |||||||
\(314\) | 5868.81 | − | 2349.52i | 1.05477 | − | 0.422264i | ||||
\(315\) | 238.106 | − | 4998.47i | 0.0425897 | − | 0.894069i | ||||
\(316\) | 1311.01 | + | 1841.06i | 0.233387 | + | 0.327746i | ||||
\(317\) | 2284.81 | + | 6601.54i | 0.404820 | + | 1.16965i | 0.944708 | + | 0.327914i | \(0.106346\pi\) |
−0.539888 | + | 0.841737i | \(0.681533\pi\) | |||||||
\(318\) | 995.330 | − | 191.834i | 0.175520 | − | 0.0338287i | ||||
\(319\) | −330.882 | − | 132.465i | −0.0580746 | − | 0.0232496i | ||||
\(320\) | −4525.08 | + | 9908.55i | −0.790499 | + | 1.73095i | ||||
\(321\) | −3532.70 | + | 4076.95i | −0.614256 | + | 0.708889i | ||||
\(322\) | −1963.90 | + | 8095.32i | −0.339889 | + | 1.40104i | ||||
\(323\) | −1899.28 | − | 1810.96i | −0.327179 | − | 0.311965i | ||||
\(324\) | 170.782 | − | 134.304i | 0.0292836 | − | 0.0230289i | ||||
\(325\) | 152.236 | + | 3195.82i | 0.0259831 | + | 0.545453i | ||||
\(326\) | 253.474 | + | 555.031i | 0.0430633 | + | 0.0942956i | ||||
\(327\) | −1319.62 | − | 387.476i | −0.223166 | − | 0.0655275i | ||||
\(328\) | 2279.83 | − | 3201.57i | 0.383788 | − | 0.538954i | ||||
\(329\) | 6869.92 | + | 5402.57i | 1.15122 | + | 0.905329i | ||||
\(330\) | 351.909 | + | 2447.58i | 0.0587029 | + | 0.408288i | ||||
\(331\) | −5563.00 | − | 1072.18i | −0.923776 | − | 0.178043i | −0.294882 | − | 0.955534i | \(-0.595280\pi\) |
−0.628895 | + | 0.777490i | \(0.716492\pi\) | |||||||
\(332\) | 1599.39 | + | 1027.86i | 0.264391 | + | 0.169914i | ||||
\(333\) | 1846.51 | + | 176.320i | 0.303868 | + | 0.0290158i | ||||
\(334\) | 8905.72 | 1.45898 | ||||||||
\(335\) | 8895.55 | − | 6258.14i | 1.45079 | − | 1.02065i | ||||
\(336\) | −2972.96 | −0.482704 | ||||||||
\(337\) | −3474.87 | − | 331.810i | −0.561686 | − | 0.0536345i | −0.189648 | − | 0.981852i | \(-0.560735\pi\) |
−0.372038 | + | 0.928218i | \(0.621341\pi\) | |||||||
\(338\) | −3986.23 | − | 2561.79i | −0.641486 | − | 0.412258i | ||||
\(339\) | −5979.90 | − | 1152.53i | −0.958063 | − | 0.184652i | ||||
\(340\) | 280.756 | + | 1952.70i | 0.0447827 | + | 0.311470i | ||||
\(341\) | 3512.82 | + | 2762.51i | 0.557859 | + | 0.438705i | ||||
\(342\) | 851.892 | − | 1196.31i | 0.134693 | − | 0.189150i | ||||
\(343\) | 2690.39 | + | 789.970i | 0.423520 | + | 0.124357i | ||||
\(344\) | −2456.49 | − | 5378.97i | −0.385015 | − | 0.843066i | ||||
\(345\) | 364.762 | + | 7657.29i | 0.0569221 | + | 1.19494i | ||||
\(346\) | 706.275 | − | 555.421i | 0.109739 | − | 0.0862995i | ||||
\(347\) | −4803.83 | − | 4580.44i | −0.743178 | − | 0.708619i | 0.220588 | − | 0.975367i | \(-0.429202\pi\) |
−0.963766 | + | 0.266748i | \(0.914051\pi\) | |||||||
\(348\) | 37.5164 | − | 154.645i | 0.00577900 | − | 0.0238214i | ||||
\(349\) | 1749.89 | − | 2019.48i | 0.268394 | − | 0.309743i | −0.605514 | − | 0.795835i | \(-0.707032\pi\) |
0.873908 | + | 0.486092i | \(0.161578\pi\) | |||||||
\(350\) | −7206.23 | + | 15779.4i | −1.10054 | + | 2.40985i | ||||
\(351\) | −298.889 | − | 119.657i | −0.0454517 | − | 0.0181961i | ||||
\(352\) | −2045.05 | + | 394.150i | −0.309663 | + | 0.0596826i | ||||
\(353\) | 2280.08 | + | 6587.85i | 0.343786 | + | 0.993303i | 0.975860 | + | 0.218396i | \(0.0700823\pi\) |
−0.632075 | + | 0.774907i | \(0.717796\pi\) | |||||||
\(354\) | −3087.15 | − | 4335.29i | −0.463503 | − | 0.650899i | ||||
\(355\) | −158.134 | + | 3319.64i | −0.0236419 | + | 0.496304i | ||||
\(356\) | −426.212 | + | 170.629i | −0.0634527 | + | 0.0254026i | ||||
\(357\) | −2624.01 | + | 1686.35i | −0.389012 | + | 0.250003i | ||||
\(358\) | 9228.73 | − | 4757.74i | 1.36244 | − | 0.702386i | ||||
\(359\) | −2150.99 | − | 2482.37i | −0.316225 | − | 0.364943i | 0.575278 | − | 0.817958i | \(-0.304894\pi\) |
−0.891503 | + | 0.453015i | \(0.850348\pi\) | |||||||
\(360\) | −4218.74 | + | 1238.73i | −0.617630 | + | 0.181353i | ||||
\(361\) | 605.578 | − | 1749.70i | 0.0882896 | − | 0.255096i | ||||
\(362\) | −991.818 | + | 6898.24i | −0.144002 | + | 1.00156i | ||||
\(363\) | 2184.61 | − | 2083.02i | 0.315874 | − | 0.301185i | ||||
\(364\) | −448.350 | − | 776.564i | −0.0645602 | − | 0.111822i | ||||
\(365\) | −5807.96 | + | 10059.7i | −0.832883 | + | 1.44260i | ||||
\(366\) | 772.716 | + | 3185.18i | 0.110357 | + | 0.454896i | ||||
\(367\) | 6020.58 | + | 3103.82i | 0.856326 | + | 0.441467i | 0.829720 | − | 0.558179i | \(-0.188500\pi\) |
0.0266055 | + | 0.999646i | \(0.491530\pi\) | |||||||
\(368\) | 4533.74 | − | 432.920i | 0.642222 | − | 0.0613248i | ||||
\(369\) | 1429.47 | − | 136.498i | 0.201668 | − | 0.0192569i | ||||
\(370\) | −8377.89 | − | 4319.10i | −1.17715 | − | 0.606863i | ||||
\(371\) | 968.471 | + | 3992.09i | 0.135527 | + | 0.558650i | ||||
\(372\) | −997.644 | + | 1727.97i | −0.139047 | + | 0.240836i | ||||
\(373\) | −103.626 | − | 179.486i | −0.0143849 | − | 0.0249154i | 0.858743 | − | 0.512406i | \(-0.171246\pi\) |
−0.873128 | + | 0.487491i | \(0.837912\pi\) | |||||||
\(374\) | 1115.50 | − | 1063.62i | 0.154227 | − | 0.147055i | ||||
\(375\) | −1213.50 | + | 8440.09i | −0.167107 | + | 1.16225i | ||||
\(376\) | 2511.59 | − | 7256.78i | 0.344483 | − | 0.995318i | ||||
\(377\) | −226.254 | + | 66.4340i | −0.0309089 | + | 0.00907567i | ||||
\(378\) | −1143.12 | − | 1319.23i | −0.155544 | − | 0.179507i | ||||
\(379\) | −5065.93 | + | 2611.67i | −0.686594 | + | 0.353964i | −0.765966 | − | 0.642881i | \(-0.777739\pi\) |
0.0793718 | + | 0.996845i | \(0.474709\pi\) | |||||||
\(380\) | 3166.74 | − | 2035.14i | 0.427501 | − | 0.274738i | ||||
\(381\) | 3709.33 | − | 1484.99i | 0.498779 | − | 0.199681i | ||||
\(382\) | 196.735 | − | 4129.97i | 0.0263503 | − | 0.553161i | ||||
\(383\) | −1646.77 | − | 2312.57i | −0.219703 | − | 0.308529i | 0.689984 | − | 0.723825i | \(-0.257618\pi\) |
−0.909687 | + | 0.415295i | \(0.863678\pi\) | |||||||
\(384\) | 335.698 | + | 969.937i | 0.0446121 | + | 0.128898i | ||||
\(385\) | −9839.92 | + | 1896.49i | −1.30257 | + | 0.251050i | ||||
\(386\) | −494.484 | − | 197.962i | −0.0652036 | − | 0.0261036i | ||||
\(387\) | 897.494 | − | 1965.24i | 0.117887 | − | 0.258136i | ||||
\(388\) | 3011.17 | − | 3475.08i | 0.393993 | − | 0.454692i | ||||
\(389\) | 1364.96 | − | 5626.43i | 0.177908 | − | 0.733345i | −0.811029 | − | 0.585006i | \(-0.801092\pi\) |
0.988937 | − | 0.148339i | \(-0.0473927\pi\) | |||||||
\(390\) | 1184.02 | + | 1128.97i | 0.153732 | + | 0.146583i | ||||
\(391\) | 3756.02 | − | 2953.77i | 0.485806 | − | 0.382042i | ||||
\(392\) | −519.261 | − | 10900.6i | −0.0669047 | − | 1.40450i | ||||
\(393\) | −3300.80 | − | 7227.75i | −0.423673 | − | 0.927715i | ||||
\(394\) | −3618.71 | − | 1062.55i | −0.462711 | − | 0.135864i | ||||
\(395\) | 9693.33 | − | 13612.4i | 1.23475 | − | 1.73396i | ||||
\(396\) | −341.999 | − | 268.951i | −0.0433993 | − | 0.0341295i | ||||
\(397\) | 131.631 | + | 915.515i | 0.0166408 | + | 0.115739i | 0.996449 | − | 0.0842019i | \(-0.0268341\pi\) |
−0.979808 | + | 0.199941i | \(0.935925\pi\) | |||||||
\(398\) | −10949.8 | − | 2110.40i | −1.37905 | − | 0.265791i | ||||
\(399\) | 5006.94 | + | 3217.76i | 0.628221 | + | 0.403733i | ||||
\(400\) | 9441.27 | + | 901.532i | 1.18016 | + | 0.112691i | ||||
\(401\) | −10710.5 | −1.33381 | −0.666904 | − | 0.745144i | \(-0.732381\pi\) | ||||
−0.666904 | + | 0.745144i | \(0.732381\pi\) | |||||||
\(402\) | 739.309 | − | 3721.26i | 0.0917248 | − | 0.461690i | ||||
\(403\) | 2956.69 | 0.365467 | ||||||||
\(404\) | −3215.61 | − | 307.054i | −0.395997 | − | 0.0378131i | ||||
\(405\) | −1351.40 | − | 868.491i | −0.165806 | − | 0.106557i | ||||
\(406\) | −1255.41 | − | 241.960i | −0.153460 | − | 0.0295770i | ||||
\(407\) | −528.634 | − | 3676.73i | −0.0643818 | − | 0.447785i | ||||
\(408\) | 2154.28 | + | 1694.14i | 0.261403 | + | 0.205570i | ||||
\(409\) | −7053.21 | + | 9904.84i | −0.852711 | + | 1.19746i | 0.125961 | + | 0.992035i | \(0.459799\pi\) |
−0.978672 | + | 0.205429i | \(0.934141\pi\) | |||||||
\(410\) | −7001.32 | − | 2055.77i | −0.843343 | − | 0.247628i | ||||
\(411\) | 2215.48 | + | 4851.22i | 0.265892 | + | 0.582221i | ||||
\(412\) | −190.023 | − | 3989.07i | −0.0227227 | − | 0.477008i | ||||
\(413\) | 16953.9 | − | 13332.7i | 2.01997 | − | 1.58852i | ||||
\(414\) | 1935.35 | + | 1845.35i | 0.229751 | + | 0.219068i | ||||
\(415\) | 3314.07 | − | 13660.8i | 0.392003 | − | 1.61586i | ||||
\(416\) | −902.346 | + | 1041.36i | −0.106349 | + | 0.122733i | ||||
\(417\) | −2817.83 | + | 6170.20i | −0.330911 | + | 0.724594i | ||||
\(418\) | −2730.34 | − | 1093.06i | −0.319487 | − | 0.127903i | ||||
\(419\) | 6109.28 | − | 1177.47i | 0.712310 | − | 0.137286i | 0.179791 | − | 0.983705i | \(-0.442458\pi\) |
0.532519 | + | 0.846418i | \(0.321246\pi\) | |||||||
\(420\) | −1463.36 | − | 4228.10i | −0.170011 | − | 0.491214i | ||||
\(421\) | 1923.49 | + | 2701.16i | 0.222672 | + | 0.312699i | 0.910766 | − | 0.412922i | \(-0.135492\pi\) |
−0.688094 | + | 0.725621i | \(0.741552\pi\) | |||||||
\(422\) | 417.627 | − | 8767.07i | 0.0481748 | − | 1.01131i | ||||
\(423\) | 2604.64 | − | 1042.74i | 0.299390 | − | 0.119858i | ||||
\(424\) | 3036.39 | − | 1951.37i | 0.347783 | − | 0.223507i | ||||
\(425\) | 8844.46 | − | 4559.64i | 1.00946 | − | 0.520411i | ||||
\(426\) | 759.178 | + | 876.139i | 0.0863435 | + | 0.0996457i | ||||
\(427\) | −12744.6 | + | 3742.14i | −1.44439 | + | 0.424110i | ||||
\(428\) | −1577.54 | + | 4558.00i | −0.178162 | + | 0.514764i | ||||
\(429\) | −91.7537 | + | 638.161i | −0.0103261 | + | 0.0718198i | ||||
\(430\) | −7945.47 | + | 7575.99i | −0.891081 | + | 0.849644i | ||||
\(431\) | −7016.10 | − | 12152.2i | −0.784115 | − | 1.35813i | −0.929526 | − | 0.368755i | \(-0.879784\pi\) |
0.145412 | − | 0.989371i | \(-0.453549\pi\) | |||||||
\(432\) | −477.185 | + | 826.509i | −0.0531449 | + | 0.0920496i | ||||
\(433\) | 748.215 | + | 3084.19i | 0.0830414 | + | 0.342301i | 0.998142 | − | 0.0609232i | \(-0.0194045\pi\) |
−0.915101 | + | 0.403225i | \(0.867889\pi\) | |||||||
\(434\) | 14248.8 | + | 7345.76i | 1.57595 | + | 0.812460i | ||||
\(435\) | −1171.25 | + | 111.841i | −0.129097 | + | 0.0123272i | ||||
\(436\) | −1224.11 | + | 116.888i | −0.134459 | + | 0.0128393i | ||||
\(437\) | −8104.10 | − | 4177.96i | −0.887121 | − | 0.457343i | ||||
\(438\) | 955.287 | + | 3937.75i | 0.104213 | + | 0.429573i | ||||
\(439\) | −8096.80 | + | 14024.1i | −0.880271 | + | 1.52467i | −0.0292323 | + | 0.999573i | \(0.509306\pi\) |
−0.851039 | + | 0.525102i | \(0.824027\pi\) | |||||||
\(440\) | 4402.44 | + | 7625.25i | 0.476996 | + | 0.826181i | ||||
\(441\) | 2885.62 | − | 2751.43i | 0.311588 | − | 0.297098i | ||||
\(442\) | 145.125 | − | 1009.36i | 0.0156174 | − | 0.108621i | ||||
\(443\) | −2934.99 | + | 8480.11i | −0.314776 | + | 0.909485i | 0.671005 | + | 0.741452i | \(0.265863\pi\) |
−0.985781 | + | 0.168033i | \(0.946259\pi\) | |||||||
\(444\) | 1591.28 | − | 467.243i | 0.170088 | − | 0.0499423i | ||||
\(445\) | 2222.90 | + | 2565.37i | 0.236799 | + | 0.273281i | ||||
\(446\) | 471.514 | − | 243.082i | 0.0500602 | − | 0.0258078i | ||||
\(447\) | 1457.40 | − | 936.611i | 0.154211 | − | 0.0991055i | ||||
\(448\) | −14295.8 | + | 5723.17i | −1.50762 | + | 0.603559i | ||||
\(449\) | 197.945 | − | 4155.38i | 0.0208054 | − | 0.436759i | −0.964301 | − | 0.264810i | \(-0.914691\pi\) |
0.985106 | − | 0.171949i | \(-0.0550063\pi\) | |||||||
\(450\) | 3230.16 | + | 4536.12i | 0.338380 | + | 0.475189i | ||||
\(451\) | −940.520 | − | 2717.45i | −0.0981981 | − | 0.283725i | ||||
\(452\) | −5346.60 | + | 1030.47i | −0.556378 | + | 0.107233i | ||||
\(453\) | 4383.80 | + | 1755.01i | 0.454678 | + | 0.182025i | ||||
\(454\) | 1875.59 | − | 4106.98i | 0.193890 | − | 0.424560i | ||||
\(455\) | −4341.72 | + | 5010.61i | −0.447347 | + | 0.516266i | ||||
\(456\) | 1232.89 | − | 5082.05i | 0.126613 | − | 0.521905i | ||||
\(457\) | −9228.14 | − | 8799.02i | −0.944583 | − | 0.900658i | 0.0505977 | − | 0.998719i | \(-0.483887\pi\) |
−0.995180 | + | 0.0980614i | \(0.968736\pi\) | |||||||
\(458\) | −4257.69 | + | 3348.29i | −0.434386 | + | 0.341605i | ||||
\(459\) | 47.6439 | + | 1000.17i | 0.00484494 | + | 0.101708i | ||||
\(460\) | 2847.30 | + | 6234.72i | 0.288600 | + | 0.631946i | ||||
\(461\) | 11047.5 | + | 3243.83i | 1.11612 | + | 0.327723i | 0.787239 | − | 0.616648i | \(-0.211510\pi\) |
0.328882 | + | 0.944371i | \(0.393328\pi\) | |||||||
\(462\) | −2027.66 | + | 2847.45i | −0.204189 | + | 0.286743i | ||||
\(463\) | 3797.88 | + | 2986.69i | 0.381215 | + | 0.299791i | 0.790317 | − | 0.612698i | \(-0.209916\pi\) |
−0.409102 | + | 0.912488i | \(0.634158\pi\) | |||||||
\(464\) | 99.4787 | + | 691.890i | 0.00995298 | + | 0.0692245i | ||||
\(465\) | 14486.1 | + | 2791.97i | 1.44468 | + | 0.278440i | ||||
\(466\) | 4982.69 | + | 3202.18i | 0.495319 | + | 0.318322i | ||||
\(467\) | −10681.8 | − | 1019.98i | −1.05844 | − | 0.101069i | −0.448711 | − | 0.893677i | \(-0.648117\pi\) |
−0.609732 | + | 0.792608i | \(0.708723\pi\) | |||||||
\(468\) | −287.855 | −0.0284319 | ||||||||
\(469\) | 15206.2 | + | 2275.15i | 1.49713 | + | 0.224001i | ||||
\(470\) | −14256.7 | −1.39917 | ||||||||
\(471\) | 8186.87 | + | 781.751i | 0.800915 | + | 0.0764781i | ||||
\(472\) | −15942.5 | − | 10245.6i | −1.55469 | − | 0.999138i | ||||
\(473\) | −4248.27 | − | 818.787i | −0.412972 | − | 0.0795938i | ||||
\(474\) | −829.593 | − | 5769.94i | −0.0803891 | − | 0.559119i | ||||
\(475\) | −14924.8 | − | 11737.0i | −1.44168 | − | 1.13375i | ||||
\(476\) | −1617.68 | + | 2271.71i | −0.155769 | + | 0.218748i | ||||
\(477\) | 1265.28 | + | 371.521i | 0.121454 | + | 0.0356620i | ||||
\(478\) | −2084.42 | − | 4564.25i | −0.199455 | − | 0.436745i | ||||
\(479\) | 617.120 | + | 12955.0i | 0.0588663 | + | 1.23576i | 0.814266 | + | 0.580492i | \(0.197140\pi\) |
−0.755400 | + | 0.655264i | \(0.772557\pi\) | |||||||
\(480\) | −5404.33 | + | 4250.02i | −0.513902 | + | 0.404137i | ||||
\(481\) | −1778.63 | − | 1695.92i | −0.168604 | − | 0.160763i | ||||
\(482\) | 2021.76 | − | 8333.79i | 0.191055 | − | 0.787539i | ||||
\(483\) | −7096.76 | + | 8190.09i | −0.668558 | + | 0.771557i | ||||
\(484\) | 1121.14 | − | 2454.96i | 0.105291 | − | 0.230556i | ||||
\(485\) | −31562.6 | − | 12635.8i | −2.95502 | − | 1.18301i | ||||
\(486\) | −550.236 | + | 106.049i | −0.0513564 | + | 0.00989813i | ||||
\(487\) | −2213.15 | − | 6394.46i | −0.205929 | − | 0.594991i | 0.793988 | − | 0.607934i | \(-0.208001\pi\) |
−0.999916 | + | 0.0129424i | \(0.995880\pi\) | |||||||
\(488\) | 6769.64 | + | 9506.63i | 0.627965 | + | 0.881854i | ||||
\(489\) | −37.7705 | + | 792.900i | −0.00349293 | + | 0.0733255i | ||||
\(490\) | −18809.2 | + | 7530.08i | −1.73411 | + | 0.694233i | ||||
\(491\) | 12571.6 | − | 8079.26i | 1.15549 | − | 0.742590i | 0.184768 | − | 0.982782i | \(-0.440847\pi\) |
0.970725 | + | 0.240192i | \(0.0772103\pi\) | |||||||
\(492\) | 1141.18 | − | 588.317i | 0.104569 | − | 0.0539093i | ||||
\(493\) | 480.261 | + | 554.251i | 0.0438740 | + | 0.0506333i | ||||
\(494\) | −1866.98 | + | 548.195i | −0.170039 | + | 0.0499281i | ||||
\(495\) | −1052.15 | + | 3039.99i | −0.0955365 | + | 0.276035i | ||||
\(496\) | 1247.33 | − | 8675.39i | 0.112917 | − | 0.785356i | ||||
\(497\) | −3400.21 | + | 3242.09i | −0.306881 | + | 0.292611i | ||||
\(498\) | −2451.75 | − | 4246.55i | −0.220613 | − | 0.382113i | ||||
\(499\) | 2339.05 | − | 4051.36i | 0.209840 | − | 0.363454i | −0.741824 | − | 0.670595i | \(-0.766039\pi\) |
0.951664 | + | 0.307141i | \(0.0993722\pi\) | |||||||
\(500\) | 1797.39 | + | 7408.94i | 0.160763 | + | 0.662676i | ||||
\(501\) | 10297.9 | + | 5308.94i | 0.918317 | + | 0.473425i | ||||
\(502\) | 868.925 | − | 82.9723i | 0.0772550 | − | 0.00737696i | ||||
\(503\) | 17951.4 | − | 1714.15i | 1.59128 | − | 0.151949i | 0.738512 | − | 0.674241i | \(-0.235529\pi\) |
0.852767 | + | 0.522292i | \(0.174923\pi\) | |||||||
\(504\) | −5524.66 | − | 2848.16i | −0.488270 | − | 0.251721i | ||||
\(505\) | 5630.79 | + | 23210.4i | 0.496172 | + | 2.04525i | ||||
\(506\) | 2677.52 | − | 4637.60i | 0.235238 | − | 0.407444i | ||||
\(507\) | −3082.22 | − | 5338.57i | −0.269993 | − | 0.467641i | ||||
\(508\) | 2585.46 | − | 2465.23i | 0.225810 | − | 0.215309i | ||||
\(509\) | 1887.90 | − | 13130.6i | 0.164400 | − | 1.14343i | −0.725816 | − | 0.687889i | \(-0.758538\pi\) |
0.890216 | − | 0.455538i | \(-0.150553\pi\) | |||||||
\(510\) | 1664.16 | − | 4808.27i | 0.144491 | − | 0.417478i | ||||
\(511\) | −15755.7 | + | 4626.30i | −1.36398 | + | 0.400500i | ||||
\(512\) | 7236.47 | + | 8351.33i | 0.624628 | + | 0.720860i | ||||
\(513\) | 1698.22 | − | 875.493i | 0.146156 | − | 0.0753489i | ||||
\(514\) | −545.223 | + | 350.393i | −0.0467874 | + | 0.0300685i | ||||
\(515\) | −27412.6 | + | 10974.4i | −2.34552 | + | 0.939006i | ||||
\(516\) | 91.9127 | − | 1929.48i | 0.00784153 | − | 0.164614i | ||||
\(517\) | −3258.97 | − | 4576.59i | −0.277233 | − | 0.389319i | ||||
\(518\) | −4358.08 | − | 12591.8i | −0.369658 | − | 1.06806i | ||||
\(519\) | 1147.79 | − | 221.218i | 0.0970755 | − | 0.0187098i | ||||
\(520\) | 5408.10 | + | 2165.08i | 0.456079 | + | 0.182586i | ||||
\(521\) | 984.746 | − | 2156.29i | 0.0828071 | − | 0.181322i | −0.863699 | − | 0.504008i | \(-0.831858\pi\) |
0.946506 | + | 0.322685i | \(0.104586\pi\) | |||||||
\(522\) | −268.770 | + | 310.177i | −0.0225359 | + | 0.0260078i | ||||
\(523\) | 837.332 | − | 3451.53i | 0.0700076 | − | 0.288575i | −0.926037 | − | 0.377433i | \(-0.876807\pi\) |
0.996044 | + | 0.0888584i | \(0.0283219\pi\) | |||||||
\(524\) | −5141.63 | − | 4902.53i | −0.428651 | − | 0.408718i | ||||
\(525\) | −17739.3 | + | 13950.3i | −1.47468 | + | 1.15970i | ||||
\(526\) | 303.281 | + | 6366.64i | 0.0251400 | + | 0.527754i | ||||
\(527\) | −3820.00 | − | 8364.63i | −0.315753 | − | 0.691402i | ||||
\(528\) | 1833.76 | + | 538.439i | 0.151144 | + | 0.0443799i | ||||
\(529\) | 2572.31 | − | 3612.30i | 0.211417 | − | 0.296893i | ||||
\(530\) | −5267.31 | − | 4142.26i | −0.431693 | − | 0.339487i | ||||
\(531\) | −985.362 | − | 6853.34i | −0.0805293 | − | 0.560094i | ||||
\(532\) | 5225.27 | + | 1007.09i | 0.425835 | + | 0.0820730i | ||||
\(533\) | −1600.51 | − | 1028.58i | −0.130067 | − | 0.0835890i | ||||
\(534\) | 1178.73 | + | 112.555i | 0.0955214 | + | 0.00912119i | ||||
\(535\) | 35662.2 | 2.88189 | ||||||||
\(536\) | −2480.79 | − | 13279.8i | −0.199914 | − | 1.07015i | ||||
\(537\) | 13507.6 | 1.08547 | ||||||||
\(538\) | −397.041 | − | 37.9128i | −0.0318172 | − | 0.00303818i | ||||
\(539\) | −6716.91 | − | 4316.69i | −0.536767 | − | 0.344959i | ||||
\(540\) | −1410.33 | − | 271.819i | −0.112391 | − | 0.0216615i | ||||
\(541\) | −182.495 | − | 1269.28i | −0.0145029 | − | 0.100870i | 0.981284 | − | 0.192565i | \(-0.0616806\pi\) |
−0.995787 | + | 0.0916951i | \(0.970771\pi\) | |||||||
\(542\) | −6084.12 | − | 4784.61i | −0.482169 | − | 0.379182i | ||||
\(543\) | −5259.09 | + | 7385.37i | −0.415634 | + | 0.583677i | ||||
\(544\) | 4111.89 | + | 1207.36i | 0.324073 | + | 0.0951564i | ||||
\(545\) | 3776.94 | + | 8270.35i | 0.296856 | + | 0.650023i | ||||
\(546\) | 110.044 | + | 2310.11i | 0.00862538 | + | 0.181069i | ||||
\(547\) | −10589.9 | + | 8328.01i | −0.827774 | + | 0.650969i | −0.939416 | − | 0.342780i | \(-0.888632\pi\) |
0.111642 | + | 0.993749i | \(0.464389\pi\) | |||||||
\(548\) | 3451.02 | + | 3290.54i | 0.269015 | + | 0.256506i | ||||
\(549\) | −1005.26 | + | 4143.74i | −0.0781484 | + | 0.322132i | ||||
\(550\) | 7302.73 | − | 8427.80i | 0.566162 | − | 0.653386i | ||||
\(551\) | 581.324 | − | 1272.92i | 0.0449460 | − | 0.0984179i | ||||
\(552\) | 8839.81 | + | 3538.92i | 0.681607 | + | 0.272874i | ||||
\(553\) | 23196.7 | − | 4470.80i | 1.78377 | − | 0.343793i | ||||
\(554\) | −1632.67 | − | 4717.29i | −0.125208 | − | 0.361766i | ||||
\(555\) | −7112.83 | − | 9988.57i | −0.544005 | − | 0.763948i | ||||
\(556\) | −288.575 | + | 6057.94i | −0.0220114 | + | 0.462075i | ||||
\(557\) | 17732.5 | − | 7099.00i | 1.34892 | − | 0.540026i | 0.419066 | − | 0.907956i | \(-0.362358\pi\) |
0.929854 | + | 0.367930i | \(0.119933\pi\) | |||||||
\(558\) | 4329.23 | − | 2782.23i | 0.328443 | − | 0.211077i | ||||
\(559\) | −2544.22 | + | 1311.64i | −0.192503 | + | 0.0992421i | ||||
\(560\) | 12870.3 | + | 14853.1i | 0.971195 | + | 1.12082i | ||||
\(561\) | 1923.93 | − | 564.918i | 0.144792 | − | 0.0425149i | ||||
\(562\) | −3088.99 | + | 8925.06i | −0.231853 | + | 0.669895i | ||||
\(563\) | −2352.06 | + | 16358.9i | −0.176070 | + | 1.22459i | 0.689679 | + | 0.724115i | \(0.257751\pi\) |
−0.865749 | + | 0.500478i | \(0.833158\pi\) | |||||||
\(564\) | 1815.48 | − | 1731.05i | 0.135541 | − | 0.129238i | ||||
\(565\) | 20129.5 | + | 34865.4i | 1.49886 | + | 2.59610i | ||||
\(566\) | −2899.79 | + | 5022.59i | −0.215349 | + | 0.372995i | ||||
\(567\) | −535.387 | − | 2206.90i | −0.0396546 | − | 0.163458i | ||||
\(568\) | 3669.10 | + | 1891.55i | 0.271042 | + | 0.139732i | ||||
\(569\) | 11649.6 | − | 1112.40i | 0.858307 | − | 0.0819583i | 0.343384 | − | 0.939195i | \(-0.388427\pi\) |
0.514923 | + | 0.857237i | \(0.327821\pi\) | |||||||
\(570\) | −9664.80 | + | 922.877i | −0.710200 | + | 0.0678159i | ||||
\(571\) | 22466.1 | + | 11582.1i | 1.64654 | + | 0.848852i | 0.995997 | + | 0.0893858i | \(0.0284904\pi\) |
0.650547 | + | 0.759466i | \(0.274540\pi\) | |||||||
\(572\) | 135.902 | + | 560.195i | 0.00993417 | + | 0.0409492i | ||||
\(573\) | 2689.48 | − | 4658.31i | 0.196081 | − | 0.339622i | ||||
\(574\) | −5157.65 | − | 8933.32i | −0.375046 | − | 0.649598i | ||||
\(575\) | 25020.8 | − | 23857.3i | 1.81468 | − | 1.73029i | ||||
\(576\) | −703.502 | + | 4892.97i | −0.0508899 | + | 0.353947i | ||||
\(577\) | 7702.55 | − | 22255.0i | 0.555739 | − | 1.60570i | −0.220586 | − | 0.975368i | \(-0.570797\pi\) |
0.776324 | − | 0.630334i | \(-0.217082\pi\) | |||||||
\(578\) | 7827.50 | − | 2298.36i | 0.563289 | − | 0.165397i | ||||
\(579\) | −453.775 | − | 523.684i | −0.0325703 | − | 0.0375882i | ||||
\(580\) | −935.029 | + | 482.041i | −0.0669396 | + | 0.0345097i | ||||
\(581\) | 16717.2 | − | 10743.5i | 1.19371 | − | 0.767152i | ||||
\(582\) | −11010.0 | + | 4407.72i | −0.784154 | + | 0.313928i | ||||
\(583\) | 125.652 | − | 2637.77i | 0.00892623 | − | 0.187385i | ||||
\(584\) | 8369.11 | + | 11752.8i | 0.593007 | + | 0.832762i | ||||
\(585\) | 696.111 | + | 2011.28i | 0.0491977 | + | 0.142147i | ||||
\(586\) | 15033.3 | − | 2897.43i | 1.05976 | − | 0.204252i | ||||
\(587\) | 2078.48 | + | 832.097i | 0.146146 | + | 0.0585082i | 0.443583 | − | 0.896234i | \(-0.353707\pi\) |
−0.297436 | + | 0.954742i | \(0.596132\pi\) | |||||||
\(588\) | 1480.90 | − | 3242.72i | 0.103863 | − | 0.227428i | ||||
\(589\) | −11490.4 | + | 13260.7i | −0.803829 | + | 0.927669i | ||||
\(590\) | −8294.78 | + | 34191.6i | −0.578798 | + | 2.38584i | ||||
\(591\) | −3550.99 | − | 3385.87i | −0.247155 | − | 0.235661i | ||||
\(592\) | −5726.43 | + | 4503.32i | −0.397559 | + | 0.312644i | ||||
\(593\) | −174.203 | − | 3656.97i | −0.0120635 | − | 0.253244i | −0.996841 | − | 0.0794241i | \(-0.974692\pi\) |
0.984777 | − | 0.173820i | \(-0.0556111\pi\) | |||||||
\(594\) | 466.159 | + | 1020.75i | 0.0321999 | + | 0.0705079i | ||||
\(595\) | 19784.7 | + | 5809.32i | 1.36318 | + | 0.400267i | ||||
\(596\) | 898.473 | − | 1261.73i | 0.0617498 | − | 0.0867155i | ||||
\(597\) | −11403.5 | − | 8967.77i | −0.781763 | − | 0.614785i | ||||
\(598\) | −504.213 | − | 3506.88i | −0.0344796 | − | 0.239811i | ||||
\(599\) | −14832.0 | − | 2858.64i | −1.01172 | − | 0.194993i | −0.343655 | − | 0.939096i | \(-0.611665\pi\) |
−0.668065 | + | 0.744103i | \(0.732877\pi\) | |||||||
\(600\) | 16681.0 | + | 10720.3i | 1.13500 | + | 0.729421i | ||||
\(601\) | 24068.2 | + | 2298.24i | 1.63355 | + | 0.155985i | 0.871114 | − | 0.491080i | \(-0.163398\pi\) |
0.762435 | + | 0.647065i | \(0.224004\pi\) | |||||||
\(602\) | −15519.7 | −1.05073 | ||||||||
\(603\) | 3073.23 | − | 3862.26i | 0.207548 | − | 0.260835i | ||||
\(604\) | 4221.97 | 0.284419 | ||||||||
\(605\) | −19864.3 | − | 1896.81i | −1.33487 | − | 0.127465i | ||||
\(606\) | 7008.74 | + | 4504.25i | 0.469820 | + | 0.301935i | ||||
\(607\) | −24043.3 | − | 4633.97i | −1.60772 | − | 0.309863i | −0.695178 | − | 0.718838i | \(-0.744674\pi\) |
−0.912546 | + | 0.408975i | \(0.865886\pi\) | |||||||
\(608\) | −1163.74 | − | 8094.00i | −0.0776250 | − | 0.539893i | ||||
\(609\) | −1307.42 | − | 1028.17i | −0.0869940 | − | 0.0684128i | ||||
\(610\) | 12568.2 | − | 17649.5i | 0.834215 | − | 1.17149i | ||||
\(611\) | −3566.59 | − | 1047.25i | −0.236152 | − | 0.0693405i | ||||
\(612\) | 371.905 | + | 814.358i | 0.0245643 | + | 0.0537883i | ||||
\(613\) | 362.955 | + | 7619.36i | 0.0239145 | + | 0.502028i | 0.978771 | + | 0.204959i | \(0.0657061\pi\) |
−0.954856 | + | 0.297069i | \(0.903991\pi\) | |||||||
\(614\) | 8862.52 | − | 6969.56i | 0.582511 | − | 0.458092i | ||||
\(615\) | −6870.31 | − | 6550.83i | −0.450468 | − | 0.429520i | ||||
\(616\) | −2934.51 | + | 12096.2i | −0.191939 | + | 0.791185i | ||||
\(617\) | −4214.92 | + | 4864.27i | −0.275018 | + | 0.317388i | −0.876409 | − | 0.481567i | \(-0.840068\pi\) |
0.601391 | + | 0.798955i | \(0.294613\pi\) | |||||||
\(618\) | −4278.83 | + | 9369.33i | −0.278511 | + | 0.609854i | ||||
\(619\) | 15101.5 | + | 6045.75i | 0.980585 | + | 0.392567i | 0.805896 | − | 0.592056i | \(-0.201684\pi\) |
0.174689 | + | 0.984624i | \(0.444108\pi\) | |||||||
\(620\) | 12952.0 | − | 2496.29i | 0.838973 | − | 0.161699i | ||||
\(621\) | 1137.83 | + | 3287.54i | 0.0735257 | + | 0.212439i | ||||
\(622\) | 14178.8 | + | 19911.3i | 0.914015 | + | 1.28355i | ||||
\(623\) | −228.327 | + | 4793.17i | −0.0146833 | + | 0.308241i | ||||
\(624\) | 1173.87 | − | 469.948i | 0.0753085 | − | 0.0301490i | ||||
\(625\) | 19205.3 | − | 12342.5i | 1.22914 | − | 0.789920i | ||||
\(626\) | 15159.1 | − | 7815.07i | 0.967860 | − | 0.498967i | ||||
\(627\) | −2505.56 | − | 2891.57i | −0.159589 | − | 0.184176i | ||||
\(628\) | 7055.29 | − | 2071.62i | 0.448307 | − | 0.131635i | ||||
\(629\) | −2499.88 | + | 7222.93i | −0.158469 | + | 0.457865i | ||||
\(630\) | −1642.26 | + | 11422.2i | −0.103856 | + | 0.722333i | ||||
\(631\) | −2125.04 | + | 2026.22i | −0.134067 | + | 0.127833i | −0.754146 | − | 0.656707i | \(-0.771949\pi\) |
0.620079 | + | 0.784539i | \(0.287101\pi\) | |||||||
\(632\) | −10378.3 | − | 17975.8i | −0.653209 | − | 1.13139i | ||||
\(633\) | 5709.20 | − | 9888.63i | 0.358484 | − | 0.620913i | ||||
\(634\) | −3797.90 | − | 15655.2i | −0.237908 | − | 0.980672i | ||||
\(635\) | −23477.2 | − | 12103.3i | −1.46719 | − | 0.756388i | ||||
\(636\) | 1173.71 | − | 112.075i | 0.0731768 | − | 0.00698754i | ||||
\(637\) | −5258.63 | + | 502.138i | −0.327087 | + | 0.0312330i | ||||
\(638\) | 730.527 | + | 376.613i | 0.0453320 | + | 0.0233703i | ||||
\(639\) | 355.567 | + | 1465.67i | 0.0220126 | + | 0.0907370i | ||||
\(640\) | 3392.59 | − | 5876.14i | 0.209537 | − | 0.362929i | ||||
\(641\) | 7823.38 | + | 13550.5i | 0.482067 | + | 0.834965i | 0.999788 | − | 0.0205849i | \(-0.00655282\pi\) |
−0.517721 | + | 0.855549i | \(0.673219\pi\) | |||||||
\(642\) | 9003.25 | − | 8584.58i | 0.553473 | − | 0.527736i | ||||
\(643\) | −632.679 | + | 4400.38i | −0.0388032 | + | 0.269882i | −0.999982 | − | 0.00604515i | \(-0.998076\pi\) |
0.961179 | + | 0.275927i | \(0.0889848\pi\) | |||||||
\(644\) | −3169.08 | + | 9156.45i | −0.193912 | + | 0.560271i | ||||
\(645\) | −13703.8 | + | 4023.80i | −0.836569 | + | 0.245639i | ||||
\(646\) | 3962.98 | + | 4573.53i | 0.241364 | + | 0.278549i | ||||
\(647\) | −7954.53 | + | 4100.85i | −0.483346 | + | 0.249182i | −0.682636 | − | 0.730758i | \(-0.739167\pi\) |
0.199290 | + | 0.979941i | \(0.436136\pi\) | |||||||
\(648\) | −1678.57 | + | 1078.75i | −0.101760 | + | 0.0653970i | ||||
\(649\) | −12872.1 | + | 5153.20i | −0.778541 | + | 0.311681i | ||||
\(650\) | 351.058 | − | 7369.62i | 0.0211841 | − | 0.444708i | ||||
\(651\) | 12097.2 | + | 16988.2i | 0.728307 | + | 1.02276i | ||||
\(652\) | 232.131 | + | 670.698i | 0.0139432 | + | 0.0402861i | ||||
\(653\) | −9821.81 | + | 1893.00i | −0.588602 | + | 0.113444i | −0.474852 | − | 0.880066i | \(-0.657498\pi\) |
−0.113750 | + | 0.993509i | \(0.536286\pi\) | |||||||
\(654\) | 2944.36 | + | 1178.74i | 0.176045 | + | 0.0704778i | ||||
\(655\) | −21820.8 | + | 47780.8i | −1.30169 | + | 2.85031i | ||||
\(656\) | −3693.23 | + | 4262.22i | −0.219812 | + | 0.253676i | ||||
\(657\) | −1242.78 | + | 5122.79i | −0.0737980 | + | 0.304200i | ||||
\(658\) | −14586.2 | − | 13907.9i | −0.864177 | − | 0.823991i | ||||
\(659\) | −8614.49 | + | 6774.51i | −0.509215 | + | 0.400451i | −0.839441 | − | 0.543451i | \(-0.817118\pi\) |
0.330226 | + | 0.943902i | \(0.392875\pi\) | |||||||
\(660\) | 136.856 | + | 2872.97i | 0.00807141 | + | 0.169440i | ||||
\(661\) | 6638.28 | + | 14535.8i | 0.390619 | + | 0.855336i | 0.998136 | + | 0.0610293i | \(0.0194383\pi\) |
−0.607517 | + | 0.794307i | \(0.707834\pi\) | |||||||
\(662\) | 12535.3 | + | 3680.68i | 0.735946 | + | 0.216093i | ||||
\(663\) | 769.521 | − | 1080.64i | 0.0450765 | − | 0.0633011i | ||||
\(664\) | −13724.6 | − | 10793.2i | −0.802137 | − | 0.630807i | ||||
\(665\) | −5599.45 | − | 38945.0i | −0.326522 | − | 2.27101i | ||||
\(666\) | −4200.14 | − | 809.511i | −0.244373 | − | 0.0470990i | ||||
\(667\) | 2143.53 | + | 1377.56i | 0.124434 | + | 0.0799690i | ||||
\(668\) | 10312.0 | + | 984.672i | 0.597277 | + | 0.0570331i | ||||
\(669\) | 690.132 | 0.0398835 | ||||||||
\(670\) | −21792.2 | + | 12416.1i | −1.25658 | + | 0.715935i | ||||
\(671\) | 8538.74 | 0.491258 | ||||||||
\(672\) | −9675.27 | − | 923.876i | −0.555404 | − | 0.0530347i | ||||
\(673\) | 7614.90 | + | 4893.80i | 0.436156 | + | 0.280300i | 0.740237 | − | 0.672346i | \(-0.234713\pi\) |
−0.304082 | + | 0.952646i | \(0.598350\pi\) | |||||||
\(674\) | 7904.09 | + | 1523.39i | 0.451713 | + | 0.0870605i | ||||
\(675\) | 1031.01 | + | 7170.82i | 0.0587904 | + | 0.408896i | ||||
\(676\) | −4332.41 | − | 3407.05i | −0.246496 | − | 0.193847i | ||||
\(677\) | −11853.8 | + | 16646.3i | −0.672937 | + | 0.945008i | 0.327063 | + | 0.945003i | \(0.393941\pi\) |
−1.00000 | 5.71956e-6i | \(0.999998\pi\) | ||||||||
\(678\) | 13474.7 | + | 3956.52i | 0.763262 | + | 0.224114i | ||||
\(679\) | −19965.4 | − | 43718.2i | −1.12843 | − | 2.47092i | ||||
\(680\) | −862.068 | − | 18097.0i | −0.0486159 | − | 1.02057i | ||||
\(681\) | 4617.08 | − | 3630.91i | 0.259805 | − | 0.204313i | ||||
\(682\) | −7458.40 | − | 7111.57i | −0.418764 | − | 0.399291i | ||||
\(683\) | −2767.18 | + | 11406.5i | −0.155026 | + | 0.639028i | 0.840271 | + | 0.542166i | \(0.182396\pi\) |
−0.995298 | + | 0.0968616i | \(0.969120\pi\) | |||||||
\(684\) | 1118.68 | − | 1291.02i | 0.0625347 | − | 0.0721689i | ||||
\(685\) | 14645.9 | − | 32070.1i | 0.816924 | − | 1.78881i | ||||
\(686\) | −6002.83 | − | 2403.17i | −0.334095 | − | 0.133751i | ||||
\(687\) | −6919.29 | + | 1333.58i | −0.384261 | + | 0.0740602i | ||||
\(688\) | 2775.22 | + | 8018.48i | 0.153786 | + | 0.444334i | ||||
\(689\) | −1013.45 | − | 1423.19i | −0.0560366 | − | 0.0786924i | ||||
\(690\) | 841.147 | − | 17657.8i | 0.0464086 | − | 0.974236i | ||||
\(691\) | −20663.0 | + | 8272.21i | −1.13756 | + | 0.455412i | −0.862522 | − | 0.506020i | \(-0.831116\pi\) |
−0.275042 | + | 0.961432i | \(0.588692\pi\) | |||||||
\(692\) | 879.208 | − | 565.033i | 0.0482984 | − | 0.0310395i | ||||
\(693\) | −4042.07 | + | 2083.83i | −0.221567 | + | 0.114226i | ||||
\(694\) | 10023.5 | + | 11567.7i | 0.548252 | + | 0.632717i | ||||
\(695\) | 43025.4 | − | 12633.4i | 2.34827 | − | 0.689514i | ||||
\(696\) | −477.984 | + | 1381.04i | −0.0260315 | + | 0.0752131i | ||||
\(697\) | −842.086 | + | 5856.84i | −0.0457623 | + | 0.318283i | ||||
\(698\) | −4459.67 | + | 4252.29i | −0.241835 | + | 0.230590i | ||||
\(699\) | 3852.71 | + | 6673.08i | 0.208473 | + | 0.361086i | ||||
\(700\) | −10088.8 | + | 17474.3i | −0.544743 | + | 0.943522i | ||||
\(701\) | 1719.61 | + | 7088.34i | 0.0926518 | + | 0.381916i | 0.999191 | − | 0.0402048i | \(-0.0128010\pi\) |
−0.906540 | + | 0.422121i | \(0.861286\pi\) | |||||||
\(702\) | 659.894 | + | 340.199i | 0.0354788 | + | 0.0182906i | ||||
\(703\) | 14518.3 | − | 1386.33i | 0.778904 | − | 0.0743764i | ||||
\(704\) | 9854.34 | − | 940.975i | 0.527556 | − | 0.0503755i | ||||
\(705\) | −16485.4 | − | 8498.80i | −0.880674 | − | 0.454019i | ||||
\(706\) | −3790.03 | − | 15622.7i | −0.202039 | − | 0.832816i | ||||
\(707\) | −16881.6 | + | 29239.9i | −0.898019 | + | 1.55541i | ||||
\(708\) | −3095.28 | − | 5361.18i | −0.164305 | − | 0.284584i | ||||
\(709\) | −8704.25 | + | 8299.49i | −0.461065 | + | 0.439624i | −0.884667 | − | 0.466224i | \(-0.845614\pi\) |
0.423602 | + | 0.905848i | \(0.360766\pi\) | |||||||
\(710\) | 1090.67 | − | 7585.81i | 0.0576511 | − | 0.400972i | ||||
\(711\) | 2480.34 | − | 7166.48i | 0.130830 | − | 0.378008i | ||||
\(712\) | 4045.46 | − | 1187.86i | 0.212936 | − | 0.0625236i | ||||
\(713\) | −20922.0 | − | 24145.2i | −1.09893 | − | 1.26823i | ||||
\(714\) | 6393.25 | − | 3295.95i | 0.335100 | − | 0.172756i | ||||
\(715\) | 3585.51 | − | 2304.26i | 0.187539 | − | 0.120524i | ||||
\(716\) | 11212.0 | − | 4488.61i | 0.585213 | − | 0.234284i | ||||
\(717\) | 310.602 | − | 6520.34i | 0.0161780 | − | 0.339619i | ||||
\(718\) | 4393.61 | + | 6169.96i | 0.228368 | + | 0.320698i | ||||
\(719\) | 1102.62 | + | 3185.80i | 0.0571914 | + | 0.165244i | 0.969978 | − | 0.243194i | \(-0.0781950\pi\) |
−0.912786 | + | 0.408437i | \(0.866074\pi\) | |||||||
\(720\) | 6195.08 | − | 1194.00i | 0.320663 | − | 0.0618026i | ||||
\(721\) | −38752.0 | − | 15514.0i | −2.00166 | − | 0.801345i | ||||
\(722\) | −1773.69 | + | 3883.83i | −0.0914263 | + | 0.200196i | ||||
\(723\) | 7305.81 | − | 8431.35i | 0.375803 | − | 0.433700i | ||||
\(724\) | −1911.14 | + | 7877.83i | −0.0981035 | + | 0.404388i | ||||
\(725\) | 3840.20 | + | 3661.63i | 0.196719 | + | 0.187572i | ||||
\(726\) | −5471.53 | + | 4302.86i | −0.279707 | + | 0.219964i | ||||
\(727\) | −657.109 | − | 13794.4i | −0.0335224 | − | 0.703722i | −0.951603 | − | 0.307329i | \(-0.900565\pi\) |
0.918081 | − | 0.396393i | \(-0.129738\pi\) | |||||||
\(728\) | 3420.98 | + | 7490.90i | 0.174162 | + | 0.381362i | ||||
\(729\) | −699.470 | − | 205.383i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | 15537.7 | − | 21819.6i | 0.787775 | − | 1.10628i | ||||
\(731\) | 6997.79 | + | 5503.12i | 0.354066 | + | 0.278441i | ||||
\(732\) | 542.556 | + | 3773.56i | 0.0273954 | + | 0.190539i | ||||
\(733\) | −6163.30 | − | 1187.88i | −0.310569 | − | 0.0598572i | 0.0315855 | − | 0.999501i | \(-0.489944\pi\) |
−0.342154 | + | 0.939644i | \(0.611156\pi\) | |||||||
\(734\) | −13140.3 | − | 8444.77i | −0.660788 | − | 0.424663i | ||||
\(735\) | −26238.5 | − | 2505.47i | −1.31676 | − | 0.125736i | ||||
\(736\) | 14889.2 | 0.745685 | ||||||||
\(737\) | −8967.28 | − | 4157.36i | −0.448187 | − | 0.207786i | ||||
\(738\) | −3311.38 | −0.165168 | ||||||||
\(739\) | −822.787 | − | 78.5666i | −0.0409563 | − | 0.00391085i | 0.0745578 | − | 0.997217i | \(-0.476245\pi\) |
−0.115514 | + | 0.993306i | \(0.536852\pi\) | |||||||
\(740\) | −9223.22 | − | 5927.41i | −0.458179 | − | 0.294454i | ||||
\(741\) | −2485.63 | − | 479.066i | −0.123228 | − | 0.0237503i | ||||
\(742\) | −1348.13 | − | 9376.44i | −0.0666999 | − | 0.463908i | ||||
\(743\) | −15118.4 | − | 11889.2i | −0.746486 | − | 0.587043i | 0.170784 | − | 0.985308i | \(-0.445370\pi\) |
−0.917270 | + | 0.398265i | \(0.869612\pi\) | |||||||
\(744\) | 10629.1 | − | 14926.5i | 0.523767 | − | 0.735528i | ||||
\(745\) | −10988.6 | − | 3226.54i | −0.540391 | − | 0.158673i | ||||
\(746\) | 198.539 | + | 434.739i | 0.00974399 | + | 0.0213364i | ||||
\(747\) | −303.533 | − | 6371.95i | −0.0148671 | − | 0.312098i | ||||
\(748\) | 1409.24 | − | 1108.24i | 0.0688862 | − | 0.0541727i | ||||
\(749\) | 36486.4 | + | 34789.7i | 1.77995 | + | 1.69718i | ||||
\(750\) | 4635.76 | − | 19108.9i | 0.225699 | − | 0.930343i | ||||
\(751\) | −17350.9 | + | 20024.0i | −0.843065 | + | 0.972949i | −0.999892 | − | 0.0146772i | \(-0.995328\pi\) |
0.156827 | + | 0.987626i | \(0.449873\pi\) | |||||||
\(752\) | −4577.41 | + | 10023.1i | −0.221970 | + | 0.486046i | ||||
\(753\) | 1054.22 | + | 422.047i | 0.0510199 | + | 0.0204253i | ||||
\(754\) | 533.944 | − | 102.909i | 0.0257893 | − | 0.00497047i | ||||
\(755\) | −10209.8 | − | 29499.4i | −0.492151 | − | 1.42198i | ||||
\(756\) | −1177.75 | − | 1653.92i | −0.0566594 | − | 0.0795670i | ||||
\(757\) | −211.719 | + | 4444.53i | −0.0101652 | + | 0.213394i | 0.988070 | + | 0.154007i | \(0.0492177\pi\) |
−0.998235 | + | 0.0593873i | \(0.981085\pi\) | |||||||
\(758\) | 12201.7 | − | 4884.82i | 0.584677 | − | 0.234069i | ||||
\(759\) | 5860.68 | − | 3766.43i | 0.280276 | − | 0.180122i | ||||
\(760\) | −30727.6 | + | 15841.2i | −1.46659 | + | 0.756078i | ||||
\(761\) | −1333.19 | − | 1538.58i | −0.0635061 | − | 0.0732899i | 0.723108 | − | 0.690735i | \(-0.242713\pi\) |
−0.786614 | + | 0.617445i | \(0.788168\pi\) | |||||||
\(762\) | −8840.55 | + | 2595.82i | −0.420288 | + | 0.123408i | ||||
\(763\) | −4203.78 | + | 12146.0i | −0.199459 | + | 0.576298i | ||||
\(764\) | 684.434 | − | 4760.34i | 0.0324109 | − | 0.225423i | ||||
\(765\) | 4790.65 | − | 4567.88i | 0.226414 | − | 0.215885i | ||||
\(766\) | 3273.37 | + | 5669.65i | 0.154402 | + | 0.267432i | ||||
\(767\) | −4586.69 | + | 7944.38i | −0.215927 | + | 0.373996i | ||||
\(768\) | 2549.78 | + | 10510.4i | 0.119801 | + | 0.493828i | ||||
\(769\) | −21785.1 | − | 11231.0i | −1.02157 | − | 0.526658i | −0.135781 | − | 0.990739i | \(-0.543354\pi\) |
−0.885793 | + | 0.464081i | \(0.846385\pi\) | |||||||
\(770\) | 23004.0 | − | 2196.62i | 1.07663 | − | 0.102806i | ||||
\(771\) | −839.334 | + | 80.1467i | −0.0392061 | + | 0.00374373i | ||||
\(772\) | −550.676 | − | 283.893i | −0.0256726 | − | 0.0132352i | ||||
\(773\) | −9052.07 | − | 37313.2i | −0.421191 | − | 1.73617i | −0.647453 | − | 0.762106i | \(-0.724166\pi\) |
0.226262 | − | 0.974066i | \(-0.427349\pi\) | |||||||
\(774\) | −2491.05 | + | 4314.62i | −0.115683 | + | 0.200369i | ||||
\(775\) | −33265.7 | − | 57617.9i | −1.54186 | − | 2.67058i | ||||
\(776\) | −30562.4 | + | 29141.2i | −1.41382 | + | 1.34808i | ||||
\(777\) | 2466.98 | − | 17158.2i | 0.113903 | − | 0.792211i | ||||
\(778\) | −4366.68 | + | 12616.7i | −0.201225 | + | 0.581401i | ||||
\(779\) | 10833.2 | − | 3180.90i | 0.498252 | − | 0.146300i | ||||
\(780\) | 1246.16 | + | 1438.14i | 0.0572047 | + | 0.0660177i | ||||
\(781\) | 2684.47 | − | 1383.94i | 0.122993 | − | 0.0634075i | ||||
\(782\) | −9269.70 | + | 5957.28i | −0.423892 | + | 0.272419i | ||||
\(783\) | −495.691 | + | 198.445i | −0.0226239 | + | 0.00905726i | ||||
\(784\) | −745.096 | + | 15641.5i | −0.0339420 | + | 0.712531i | ||||
\(785\) | −31536.2 | − | 44286.4i | −1.43385 | − | 2.01357i | ||||
\(786\) | 5992.91 | + | 17315.4i | 0.271959 | + | 0.785775i | ||||
\(787\) | −36055.9 | + | 6949.20i | −1.63311 | + | 0.314755i | −0.921664 | − | 0.387990i | \(-0.873170\pi\) |
−0.711442 | + | 0.702745i | \(0.751957\pi\) | |||||||
\(788\) | −4072.63 | − | 1630.44i | −0.184113 | − | 0.0737079i | ||||
\(789\) | −3444.64 | + | 7542.70i | −0.155428 | + | 0.340339i | ||||
\(790\) | −25235.6 | + | 29123.4i | −1.13651 | + | 1.31160i | ||||
\(791\) | −13417.6 | + | 55308.2i | −0.603130 | + | 2.48614i | ||||
\(792\) | 2891.84 | + | 2757.36i | 0.129744 | + | 0.123710i | ||||
\(793\) | 4440.65 | − | 3492.17i | 0.198855 | − | 0.156381i | ||||
\(794\) | −101.488 | − | 2130.49i | −0.00453610 | − | 0.0952244i | ||||
\(795\) | −3621.42 | − | 7929.79i | −0.161558 | − | 0.353762i | ||||
\(796\) | −12445.4 | − | 3654.31i | −0.554167 | − | 0.162718i | ||||
\(797\) | −8643.83 | + | 12138.6i | −0.384166 | + | 0.539485i | −0.960700 | − | 0.277588i | \(-0.910465\pi\) |
0.576535 | + | 0.817073i | \(0.304405\pi\) | |||||||
\(798\) | −10788.5 | − | 8484.14i | −0.478581 | − | 0.376360i | ||||
\(799\) | 1645.27 | + | 11443.1i | 0.0728478 | + | 0.506668i | ||||
\(800\) | 30445.7 | + | 5867.93i | 1.34552 | + | 0.259328i | ||||
\(801\) | 1295.89 | + | 832.820i | 0.0571637 | + | 0.0367369i | ||||
\(802\) | 24586.8 | + | 2347.75i | 1.08253 | + | 0.103369i | ||||
\(803\) | 10556.2 | 0.463911 | ||||||||
\(804\) | 1267.49 | − | 4227.11i | 0.0555983 | − | 0.185421i | ||||
\(805\) | 71640.9 | 3.13666 | ||||||||
\(806\) | −6787.30 | − | 648.109i | −0.296616 | − | 0.0283234i | ||||
\(807\) | −436.508 | − | 280.527i | −0.0190407 | − | 0.0122367i | ||||
\(808\) | 29129.7 | + | 5614.29i | 1.26829 | + | 0.244443i | ||||
\(809\) | 4749.11 | + | 33030.8i | 0.206390 | + | 1.43548i | 0.784810 | + | 0.619737i | \(0.212761\pi\) |
−0.578419 | + | 0.815739i | \(0.696330\pi\) | |||||||
\(810\) | 2911.86 | + | 2289.91i | 0.126312 | + | 0.0993325i | ||||
\(811\) | 22715.4 | − | 31899.3i | 0.983532 | − | 1.38118i | 0.0597684 | − | 0.998212i | \(-0.480964\pi\) |
0.923763 | − | 0.382964i | \(-0.125097\pi\) | |||||||
\(812\) | −1426.88 | − | 418.971i | −0.0616673 | − | 0.0181072i | ||||
\(813\) | −4182.99 | − | 9159.47i | −0.180448 | − | 0.395125i | ||||
\(814\) | 407.576 | + | 8556.08i | 0.0175498 | + | 0.368416i | ||||
\(815\) | 4124.89 | − | 3243.85i | 0.177287 | − | 0.139420i | ||||
\(816\) | −2846.13 | − | 2713.78i | −0.122101 | − | 0.116423i | ||||
\(817\) | 4004.83 | − | 16508.1i | 0.171495 | − | 0.706911i | ||||
\(818\) | 18362.3 | − | 21191.2i | 0.784870 | − | 0.905788i | ||||
\(819\) | −1249.87 | + | 2736.84i | −0.0533262 | + | 0.116768i | ||||
\(820\) | −7879.55 | − | 3154.49i | −0.335568 | − | 0.134341i | ||||
\(821\) | −16084.1 | + | 3099.96i | −0.683727 | + | 0.131777i | −0.519274 | − | 0.854608i | \(-0.673798\pi\) |
−0.164452 | + | 0.986385i | \(0.552586\pi\) | |||||||
\(822\) | −4022.40 | − | 11622.0i | −0.170678 | − | 0.493142i | ||||
\(823\) | 6657.71 | + | 9349.45i | 0.281985 | + | 0.395992i | 0.931139 | − | 0.364665i | \(-0.118816\pi\) |
−0.649154 | + | 0.760657i | \(0.724877\pi\) | |||||||
\(824\) | −1745.13 | + | 36634.8i | −0.0737797 | + | 1.54883i | ||||
\(825\) | 13468.4 | − | 5391.92i | 0.568374 | − | 0.227543i | ||||
\(826\) | −41841.5 | + | 26889.9i | −1.76253 | + | 1.13271i | ||||
\(827\) | 13437.3 | − | 6927.41i | 0.565007 | − | 0.291281i | −0.151962 | − | 0.988386i | \(-0.548559\pi\) |
0.716969 | + | 0.697105i | \(0.245529\pi\) | |||||||
\(828\) | 2036.91 | + | 2350.72i | 0.0854921 | + | 0.0986631i | ||||
\(829\) | 41775.9 | − | 12266.5i | 1.75023 | − | 0.513913i | 0.759586 | − | 0.650407i | \(-0.225402\pi\) |
0.990641 | + | 0.136494i | \(0.0435834\pi\) | |||||||
\(830\) | −10602.1 | + | 30632.9i | −0.443381 | + | 1.28106i | ||||
\(831\) | 924.207 | − | 6428.00i | 0.0385805 | − | 0.268333i | ||||
\(832\) | 4740.00 | − | 4519.58i | 0.197512 | − | 0.188327i | ||||
\(833\) | 8214.64 | + | 14228.2i | 0.341681 | + | 0.591809i | ||||
\(834\) | 7821.06 | − | 13546.5i | 0.324726 | − | 0.562441i | ||||
\(835\) | −18057.0 | − | 74432.1i | −0.748370 | − | 3.08482i | ||||
\(836\) | −3040.61 | − | 1567.54i | −0.125792 | − | 0.0648501i | ||||
\(837\) | 6664.56 | − | 636.389i | 0.275222 | − | 0.0262805i | ||||
\(838\) | −14282.4 | + | 1363.80i | −0.588756 | + | 0.0562194i | ||||
\(839\) | −31518.8 | − | 16249.1i | −1.29696 | − | 0.668630i | −0.335104 | − | 0.942181i | \(-0.608772\pi\) |
−0.961858 | + | 0.273551i | \(0.911802\pi\) | |||||||
\(840\) | 9687.29 | + | 39931.6i | 0.397909 | + | 1.64020i | ||||
\(841\) | 11999.0 | − | 20782.8i | 0.491983 | − | 0.852139i | ||||
\(842\) | −3823.41 | − | 6622.34i | −0.156489 | − | 0.271046i | ||||
\(843\) | −8892.35 | + | 8478.84i | −0.363308 | + | 0.346414i | ||||
\(844\) | 1452.91 | − | 10105.2i | 0.0592551 | − | 0.412128i | ||||
\(845\) | −13328.5 | + | 38510.2i | −0.542622 | + | 1.56780i | ||||
\(846\) | −6207.71 | + | 1822.75i | −0.252276 | + | 0.0740749i | ||||
\(847\) | −18473.0 | − | 21319.0i | −0.749397 | − | 0.864850i | ||||
\(848\) | −4603.39 | + | 2373.21i | −0.186416 | + | 0.0961044i | ||||
\(849\) | −6347.20 | + | 4079.10i | −0.256579 | + | 0.164893i | ||||
\(850\) | −21302.6 | + | 8528.27i | −0.859615 | + | 0.344138i | ||||
\(851\) | −1263.56 | + | 26525.4i | −0.0508981 | + | 1.06848i | ||||
\(852\) | 782.183 | + | 1098.42i | 0.0314520 | + | 0.0441682i | ||||
\(853\) | 5301.55 | + | 15317.8i | 0.212804 | + | 0.614856i | 0.999998 | − | 0.00184880i | \(-0.000588493\pi\) |
−0.787195 | + | 0.616705i | \(0.788467\pi\) | |||||||
\(854\) | 30076.4 | − | 5796.75i | 1.20514 | − | 0.232272i | ||||
\(855\) | −11725.8 | − | 4694.31i | −0.469023 | − | 0.187768i | ||||
\(856\) | 18401.2 | − | 40292.9i | 0.734742 | − | 1.60886i | ||||
\(857\) | −5522.85 | + | 6373.71i | −0.220137 | + | 0.254051i | −0.855066 | − | 0.518519i | \(-0.826484\pi\) |
0.634930 | + | 0.772570i | \(0.281029\pi\) | |||||||
\(858\) | 350.513 | − | 1444.83i | 0.0139468 | − | 0.0574893i | ||||
\(859\) | 7969.75 | + | 7599.14i | 0.316559 | + | 0.301838i | 0.831653 | − | 0.555295i | \(-0.187395\pi\) |
−0.515094 | + | 0.857133i | \(0.672243\pi\) | |||||||
\(860\) | −10037.7 | + | 7893.76i | −0.398004 | + | 0.312994i | ||||
\(861\) | −638.532 | − | 13404.4i | −0.0252742 | − | 0.530571i | ||||
\(862\) | 13442.2 | + | 29434.3i | 0.531140 | + | 1.16304i | ||||
\(863\) | 11145.5 | + | 3272.60i | 0.439624 | + | 0.129085i | 0.494052 | − | 0.869432i | \(-0.335515\pi\) |
−0.0544276 | + | 0.998518i | \(0.517333\pi\) | |||||||
\(864\) | −1809.81 | + | 2541.52i | −0.0712626 | + | 0.100074i | ||||
\(865\) | −6074.11 | − | 4776.73i | −0.238758 | − | 0.187762i | ||||
\(866\) | −1041.53 | − | 7243.99i | −0.0408690 | − | 0.284250i | ||||
\(867\) | 10421.3 | + | 2008.53i | 0.408217 | + | 0.0786774i | ||||
\(868\) | 15686.5 | + | 10081.1i | 0.613404 | + | 0.394211i | ||||
\(869\) | −15117.7 | − | 1443.56i | −0.590141 | − | 0.0563516i | ||||
\(870\) | 2713.20 | 0.105731 | ||||||||
\(871\) | −6363.79 | + | 1505.36i | −0.247565 | + | 0.0585616i | ||||
\(872\) | 11293.1 | 0.438570 | ||||||||
\(873\) | −15358.7 | − | 1466.57i | −0.595432 | − | 0.0568568i | ||||
\(874\) | 17687.8 | + | 11367.2i | 0.684551 | + | 0.439934i | ||||
\(875\) | 78246.3 | + | 15080.7i | 3.02310 | + | 0.582654i | ||||
\(876\) | 670.747 | + | 4665.15i | 0.0258704 | + | 0.179932i | ||||
\(877\) | 7039.08 | + | 5535.60i | 0.271030 | + | 0.213140i | 0.744418 | − | 0.667714i | \(-0.232727\pi\) |
−0.473389 | + | 0.880854i | \(0.656969\pi\) | |||||||
\(878\) | 21660.9 | − | 30418.5i | 0.832597 | − | 1.16922i | ||||
\(879\) | 19110.6 | + | 5611.39i | 0.733317 | + | 0.215321i | ||||
\(880\) | −5248.46 | − | 11492.5i | −0.201052 | − | 0.440242i | ||||
\(881\) | 2185.13 | + | 45871.5i | 0.0835628 | + | 1.75420i | 0.519727 | + | 0.854333i | \(0.326034\pi\) |
−0.436164 | + | 0.899867i | \(0.643663\pi\) | |||||||
\(882\) | −7227.26 | + | 5683.58i | −0.275912 | + | 0.216980i | ||||
\(883\) | −9718.27 | − | 9266.36i | −0.370380 | − | 0.353157i | 0.481915 | − | 0.876218i | \(-0.339941\pi\) |
−0.852295 | + | 0.523061i | \(0.824790\pi\) | |||||||
\(884\) | 279.642 | − | 1152.70i | 0.0106396 | − | 0.0438568i | ||||
\(885\) | −29974.0 | + | 34591.8i | −1.13849 | + | 1.31389i | ||||
\(886\) | 8596.34 | − | 18823.4i | 0.325959 | − | 0.713751i | ||||
\(887\) | 31480.2 | + | 12602.8i | 1.19166 | + | 0.477068i | 0.880846 | − | 0.473403i | \(-0.156975\pi\) |
0.310812 | + | 0.950471i | \(0.399399\pi\) | |||||||
\(888\) | −14955.7 | + | 2882.48i | −0.565181 | + | 0.108930i | ||||
\(889\) | −12212.6 | − | 35285.9i | −0.460738 | − | 1.33122i | ||||
\(890\) | −4540.51 | − | 6376.25i | −0.171009 | − | 0.240149i | ||||
\(891\) | −69.4628 | + | 1458.20i | −0.00261178 | + | 0.0548279i | ||||
\(892\) | 572.844 | − | 229.332i | 0.0215025 | − | 0.00860830i | ||||
\(893\) | 18557.6 | − | 11926.2i | 0.695414 | − | 0.446916i | ||||
\(894\) | −3550.87 | + | 1830.60i | −0.132840 | + | 0.0684836i | ||||
\(895\) | −58476.1 | − | 67485.0i | −2.18396 | − | 2.52042i | ||||
\(896\) | 9203.37 | − | 2702.35i | 0.343151 | − | 0.100758i | ||||
\(897\) | 1507.51 | − | 4355.67i | 0.0561141 | − | 0.162131i | ||||
\(898\) | −1365.26 | + | 9495.61i | −0.0507343 | + | 0.352865i | ||||
\(899\) | 3548.83 | − | 3383.80i | 0.131657 | − | 0.125535i | ||||
\(900\) | 3238.66 | + | 5609.53i | 0.119951 | + | 0.207760i | ||||
\(901\) | −2716.91 | + | 4705.83i | −0.100459 | + | 0.174000i | ||||
\(902\) | 1563.37 | + | 6444.28i | 0.0577100 | + | 0.237884i | ||||
\(903\) | −17945.9 | − | 9251.74i | −0.661352 | − | 0.340951i | ||||
\(904\) | 49779.2 | − | 4753.34i | 1.83145 | − | 0.174882i | ||||
\(905\) | 59665.0 | − | 5697.32i | 2.19153 | − | 0.209265i | ||||
\(906\) | −9678.64 | − | 4989.69i | −0.354913 | − | 0.182971i | ||||
\(907\) | 249.690 | + | 1029.23i | 0.00914091 | + | 0.0376794i | 0.976199 | − | 0.216875i | \(-0.0695864\pi\) |
−0.967058 | + | 0.254554i | \(0.918071\pi\) | |||||||
\(908\) | 2625.85 | − | 4548.10i | 0.0959712 | − | 0.166227i | ||||
\(909\) | 5419.29 | + | 9386.48i | 0.197741 | + | 0.342497i | ||||
\(910\) | 11065.1 | − | 10550.5i | 0.403081 | − | 0.384337i | ||||
\(911\) | 7228.49 | − | 50275.3i | 0.262888 | − | 1.82842i | −0.247981 | − | 0.968765i | \(-0.579767\pi\) |
0.510869 | − | 0.859659i | \(-0.329324\pi\) | |||||||
\(912\) | −2454.26 | + | 7091.13i | −0.0891105 | + | 0.257468i | ||||
\(913\) | −12257.1 | + | 3599.02i | −0.444307 | + | 0.130460i | ||||
\(914\) | 19255.1 | + | 22221.6i | 0.696831 | + | 0.804186i | ||||
\(915\) | 25054.3 | − | 12916.4i | 0.905212 | − | 0.466669i | ||||
\(916\) | −5300.20 | + | 3406.23i | −0.191183 | + | 0.122866i | ||||
\(917\) | −68936.8 | + | 27598.1i | −2.48255 | + | 0.993862i | ||||
\(918\) | 109.868 | − | 2306.41i | 0.00395008 | − | 0.0829224i | ||||
\(919\) | 25672.0 | + | 36051.3i | 0.921481 | + | 1.29404i | 0.955614 | + | 0.294622i | \(0.0951938\pi\) |
−0.0341324 | + | 0.999417i | \(0.510867\pi\) | |||||||
\(920\) | −20587.8 | − | 59484.7i | −0.737784 | − | 2.13169i | ||||
\(921\) | 14402.7 | − | 2775.89i | 0.515293 | − | 0.0993146i | ||||
\(922\) | −24649.2 | − | 9868.07i | −0.880455 | − | 0.352481i | ||||
\(923\) | 830.080 | − | 1817.62i | 0.0296018 | − | 0.0648188i | ||||
\(924\) | −2662.66 | + | 3072.87i | −0.0947999 | + | 0.109405i | ||||
\(925\) | −13037.5 | + | 53741.5i | −0.463429 | + | 1.91028i | ||||
\(926\) | −8063.64 | − | 7688.66i | −0.286164 | − | 0.272856i | ||||
\(927\) | −10533.0 | + | 8283.27i | −0.373193 | + | 0.293482i | ||||
\(928\) | 108.734 | + | 2282.61i | 0.00384631 | + | 0.0807440i | ||||
\(929\) | 3834.84 | + | 8397.12i | 0.135433 | + | 0.296556i | 0.965182 | − | 0.261581i | \(-0.0842437\pi\) |
−0.829749 | + | 0.558137i | \(0.811516\pi\) | |||||||
\(930\) | −32641.9 | − | 9584.54i | −1.15094 | − | 0.337945i | ||||
\(931\) | 18184.3 | − | 25536.3i | 0.640136 | − | 0.898945i | ||||
\(932\) | 5415.41 | + | 4258.73i | 0.190330 | + | 0.149677i | ||||
\(933\) | 4525.61 | + | 31476.3i | 0.158802 | + | 1.10449i | ||||
\(934\) | 24297.2 | + | 4682.90i | 0.851209 | + | 0.164057i | ||||
\(935\) | −11151.3 | − | 7166.51i | −0.390039 | − | 0.250663i | ||||
\(936\) | 2631.63 | + | 251.290i | 0.0918991 | + | 0.00877530i | ||||
\(937\) | −28389.6 | −0.989805 | −0.494903 | − | 0.868948i | \(-0.664796\pi\) | ||||
−0.494903 | + | 0.868948i | \(0.664796\pi\) | |||||||
\(938\) | −34408.2 | − | 8555.97i | −1.19773 | − | 0.297828i | ||||
\(939\) | 22187.7 | 0.771104 | ||||||||
\(940\) | −16507.8 | − | 1576.31i | −0.572794 | − | 0.0546952i | ||||
\(941\) | −21530.4 | − | 13836.8i | −0.745879 | − | 0.479347i | 0.111673 | − | 0.993745i | \(-0.464379\pi\) |
−0.857552 | + | 0.514398i | \(0.828015\pi\) | |||||||
\(942\) | −18622.2 | − | 3589.14i | −0.644102 | − | 0.124141i | ||||
\(943\) | 2925.70 | + | 20348.7i | 0.101033 | + | 0.702698i | ||||
\(944\) | 21375.1 | + | 16809.6i | 0.736970 | + | 0.579560i | ||||
\(945\) | −8708.05 | + | 12228.7i | −0.299760 | + | 0.420953i | ||||
\(946\) | 9572.75 | + | 2810.81i | 0.329003 | + | 0.0966040i | ||||
\(947\) | 10714.0 | + | 23460.3i | 0.367643 | + | 0.805025i | 0.999550 | + | 0.0299814i | \(0.00954479\pi\) |
−0.631908 | + | 0.775043i | \(0.717728\pi\) | |||||||
\(948\) | −322.626 | − | 6772.75i | −0.0110532 | − | 0.232035i | ||||
\(949\) | 5489.85 | − | 4317.27i | 0.187785 | − | 0.147676i | ||||
\(950\) | 31688.3 | + | 30214.7i | 1.08221 | + | 1.03189i | ||||
\(951\) | 4940.86 | − | 20366.5i | 0.168474 | − | 0.694457i | ||||
\(952\) | 16772.3 | − | 19356.3i | 0.571001 | − | 0.658970i | ||||
\(953\) | −5739.24 | + | 12567.2i | −0.195081 | + | 0.427168i | −0.981742 | − | 0.190217i | \(-0.939081\pi\) |
0.786661 | + | 0.617385i | \(0.211808\pi\) | |||||||
\(954\) | −2823.12 | − | 1130.21i | −0.0958090 | − | 0.0383561i | ||||
\(955\) | −34916.3 | + | 6729.56i | −1.18310 | + | 0.228024i | ||||
\(956\) | −1908.90 | − | 5515.42i | −0.0645799 | − | 0.186591i | ||||
\(957\) | 620.218 | + | 870.974i | 0.0209496 | + | 0.0294196i | ||||
\(958\) | 1423.09 | − | 29874.3i | 0.0479937 | − | 1.00751i | ||||
\(959\) | 46269.9 | − | 18523.7i | 1.55801 | − | 0.623734i | ||||
\(960\) | 27491.1 | − | 17667.5i | 0.924242 | − | 0.593974i | ||||
\(961\) | −28169.3 | + | 14522.3i | −0.945565 | + | 0.487473i | ||||
\(962\) | 3711.23 | + | 4282.98i | 0.124381 | + | 0.143544i | ||||
\(963\) | 15528.2 | − | 4559.49i | 0.519615 | − | 0.152573i | ||||
\(964\) | 3262.43 | − | 9426.17i | 0.109000 | − | 0.314934i | ||||
\(965\) | −651.916 | + | 4534.17i | −0.0217471 | + | 0.151254i | ||||
\(966\) | 18086.4 | − | 17245.4i | 0.602402 | − | 0.574390i | ||||
\(967\) | 2456.12 | + | 4254.13i | 0.0816790 | + | 0.141472i | 0.903971 | − | 0.427593i | \(-0.140638\pi\) |
−0.822292 | + | 0.569065i | \(0.807305\pi\) | |||||||
\(968\) | −12392.8 | + | 21465.0i | −0.411488 | + | 0.712717i | ||||
\(969\) | 1856.09 | + | 7650.93i | 0.0615339 | + | 0.253646i | ||||
\(970\) | 69684.6 | + | 35924.9i | 2.30664 | + | 1.18915i | ||||
\(971\) | 7443.91 | − | 710.807i | 0.246021 | − | 0.0234921i | 0.0286829 | − | 0.999589i | \(-0.490869\pi\) |
0.217338 | + | 0.976096i | \(0.430263\pi\) | |||||||
\(972\) | −648.844 | + | 61.9571i | −0.0214112 | + | 0.00204452i | ||||
\(973\) | 56344.1 | + | 29047.4i | 1.85643 | + | 0.957057i | ||||
\(974\) | 3678.77 | + | 15164.1i | 0.121022 | + | 0.498859i | ||||
\(975\) | 4799.17 | − | 8312.41i | 0.157637 | − | 0.273036i | ||||
\(976\) | −8373.20 | − | 14502.8i | −0.274610 | − | 0.475639i | ||||
\(977\) | −4298.00 | + | 4098.14i | −0.140742 | + | 0.134198i | −0.757180 | − | 0.653206i | \(-0.773424\pi\) |
0.616438 | + | 0.787403i | \(0.288575\pi\) | |||||||
\(978\) | 260.509 | − | 1811.88i | 0.00851756 | − | 0.0592409i | ||||
\(979\) | 1008.94 | − | 2915.13i | 0.0329374 | − | 0.0951664i | ||||
\(980\) | −22611.8 | + | 6639.43i | −0.737049 | + | 0.216417i | ||||
\(981\) | 2701.96 | + | 3118.22i | 0.0879376 | + | 0.101485i | ||||
\(982\) | −30630.0 | + | 15790.8i | −0.995358 | + | 0.513143i | ||||
\(983\) | 37726.4 | − | 24245.3i | 1.22410 | − | 0.786678i | 0.241134 | − | 0.970492i | \(-0.422481\pi\) |
0.982961 | + | 0.183813i | \(0.0588442\pi\) | |||||||
\(984\) | −10946.4 | + | 4382.29i | −0.354634 | + | 0.141974i | ||||
\(985\) | −1543.34 | + | 32398.8i | −0.0499239 | + | 1.04803i | ||||
\(986\) | −980.984 | − | 1377.60i | −0.0316845 | − | 0.0444946i | ||||
\(987\) | −8575.49 | − | 24777.3i | −0.276556 | − | 0.799057i | ||||
\(988\) | −2222.39 | + | 428.331i | −0.0715625 | + | 0.0137925i | ||||
\(989\) | 28714.5 | + | 11495.6i | 0.923225 | + | 0.369603i | ||||
\(990\) | 3081.65 | − | 6747.88i | 0.0989307 | − | 0.216628i | ||||
\(991\) | −31881.2 | + | 36792.9i | −1.02194 | + | 1.17938i | −0.0382924 | + | 0.999267i | \(0.512192\pi\) |
−0.983646 | + | 0.180113i | \(0.942354\pi\) | |||||||
\(992\) | 6755.30 | − | 27845.7i | 0.216211 | − | 0.891233i | ||||
\(993\) | 12300.7 | + | 11728.7i | 0.393102 | + | 0.374822i | ||||
\(994\) | 8516.10 | − | 6697.13i | 0.271745 | − | 0.213702i | ||||
\(995\) | 4563.27 | + | 95794.9i | 0.145392 | + | 3.05216i | ||||
\(996\) | −2369.36 | − | 5188.17i | −0.0753775 | − | 0.165054i | ||||
\(997\) | −3821.82 | − | 1122.19i | −0.121402 | − | 0.0356469i | 0.220467 | − | 0.975394i | \(-0.429242\pi\) |
−0.341869 | + | 0.939747i | \(0.611060\pi\) | |||||||
\(998\) | −6257.53 | + | 8787.47i | −0.198476 | + | 0.278720i | ||||
\(999\) | −4374.16 | − | 3439.88i | −0.138531 | − | 0.108942i |
(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 | 201.4.m.b.4.6 | ✓ | 360 | |
67.17 | even | 33 | inner | 201.4.m.b.151.6 | yes | 360 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.4.m.b.4.6 | ✓ | 360 | 1.1 | even | 1 | trivial | |
201.4.m.b.151.6 | yes | 360 | 67.17 | even | 33 | inner |