Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,4,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, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
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: | \(2.53708213025\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 11.6 | ||
Character | \(\chi\) | \(=\) | 43.11 |
Dual form | 43.4.e.a.4.6 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.208948 | + | 0.262012i | 0.0738742 | + | 0.0926353i | 0.817395 | − | 0.576077i | \(-0.195417\pi\) |
−0.743521 | + | 0.668712i | \(0.766846\pi\) | |||||||
\(3\) | −0.805279 | + | 1.00979i | −0.154976 | + | 0.194334i | −0.853258 | − | 0.521489i | \(-0.825377\pi\) |
0.698282 | + | 0.715823i | \(0.253948\pi\) | |||||||
\(4\) | 1.75518 | − | 7.68993i | 0.219397 | − | 0.961241i | ||||
\(5\) | 8.19351 | − | 3.94579i | 0.732850 | − | 0.352922i | −0.0299543 | − | 0.999551i | \(-0.509536\pi\) |
0.762804 | + | 0.646629i | \(0.223822\pi\) | |||||||
\(6\) | −0.432838 | −0.0294509 | ||||||||
\(7\) | 17.7083 | 0.956161 | 0.478080 | − | 0.878316i | \(-0.341333\pi\) | ||||
0.478080 | + | 0.878316i | \(0.341333\pi\) | |||||||
\(8\) | 4.79710 | − | 2.31016i | 0.212004 | − | 0.102096i | ||||
\(9\) | 5.63687 | + | 24.6967i | 0.208773 | + | 0.914694i | ||||
\(10\) | 2.74586 | + | 1.32234i | 0.0868317 | + | 0.0418160i | ||||
\(11\) | −9.75744 | − | 42.7502i | −0.267453 | − | 1.17179i | −0.912965 | − | 0.408037i | \(-0.866213\pi\) |
0.645512 | − | 0.763750i | \(-0.276644\pi\) | |||||||
\(12\) | 6.35180 | + | 7.96490i | 0.152800 | + | 0.191606i | ||||
\(13\) | −33.3974 | + | 16.0833i | −0.712521 | + | 0.343132i | −0.754783 | − | 0.655974i | \(-0.772258\pi\) |
0.0422618 | + | 0.999107i | \(0.486544\pi\) | |||||||
\(14\) | 3.70012 | + | 4.63980i | 0.0706356 | + | 0.0885742i | ||||
\(15\) | −2.61366 | + | 11.4512i | −0.0449896 | + | 0.197112i | ||||
\(16\) | −55.2449 | − | 26.6045i | −0.863201 | − | 0.415696i | ||||
\(17\) | −3.61083 | − | 1.73889i | −0.0515150 | − | 0.0248083i | 0.407949 | − | 0.913005i | \(-0.366244\pi\) |
−0.459464 | + | 0.888196i | \(0.651958\pi\) | |||||||
\(18\) | −5.29303 | + | 6.63725i | −0.0693100 | + | 0.0869120i | ||||
\(19\) | −14.3847 | + | 63.0235i | −0.173688 | + | 0.760978i | 0.810771 | + | 0.585364i | \(0.199048\pi\) |
−0.984459 | + | 0.175614i | \(0.943809\pi\) | |||||||
\(20\) | −15.9618 | − | 69.9331i | −0.178458 | − | 0.781876i | ||||
\(21\) | −14.2602 | + | 17.8817i | −0.148182 | + | 0.185814i | ||||
\(22\) | 9.16226 | − | 11.4891i | 0.0887910 | − | 0.111340i | ||||
\(23\) | 36.5478 | + | 160.126i | 0.331336 | + | 1.45168i | 0.816546 | + | 0.577281i | \(0.195886\pi\) |
−0.485209 | + | 0.874398i | \(0.661257\pi\) | |||||||
\(24\) | −1.53023 | + | 6.70438i | −0.0130149 | + | 0.0570219i | ||||
\(25\) | −26.3718 | + | 33.0692i | −0.210974 | + | 0.264553i | ||||
\(26\) | −11.1923 | − | 5.38995i | −0.0844230 | − | 0.0406560i | ||||
\(27\) | −60.8966 | − | 29.3263i | −0.434058 | − | 0.209031i | ||||
\(28\) | 31.0813 | − | 136.176i | 0.209779 | − | 0.919101i | ||||
\(29\) | −136.501 | − | 171.167i | −0.874057 | − | 1.09603i | −0.994647 | − | 0.103331i | \(-0.967050\pi\) |
0.120590 | − | 0.992702i | \(-0.461521\pi\) | |||||||
\(30\) | −3.54646 | + | 1.70789i | −0.0215831 | + | 0.0103939i | ||||
\(31\) | 157.188 | + | 197.108i | 0.910706 | + | 1.14199i | 0.989418 | + | 0.145092i | \(0.0463477\pi\) |
−0.0787124 | + | 0.996897i | \(0.525081\pi\) | |||||||
\(32\) | −14.0509 | − | 61.5609i | −0.0776208 | − | 0.340079i | ||||
\(33\) | 51.0261 | + | 24.5729i | 0.269167 | + | 0.129624i | ||||
\(34\) | −0.298866 | − | 1.30942i | −0.00150750 | − | 0.00660480i | ||||
\(35\) | 145.094 | − | 69.8734i | 0.700723 | − | 0.337450i | ||||
\(36\) | 199.810 | 0.925045 | ||||||||
\(37\) | 83.8311 | 0.372480 | 0.186240 | − | 0.982504i | \(-0.440370\pi\) | ||||
0.186240 | + | 0.982504i | \(0.440370\pi\) | |||||||
\(38\) | −19.5186 | + | 9.39965i | −0.0833245 | + | 0.0401270i | ||||
\(39\) | 10.6535 | − | 46.6759i | 0.0437416 | − | 0.191644i | ||||
\(40\) | 30.1897 | − | 37.8567i | 0.119335 | − | 0.149642i | ||||
\(41\) | −59.4906 | − | 74.5988i | −0.226606 | − | 0.284156i | 0.655510 | − | 0.755186i | \(-0.272454\pi\) |
−0.882117 | + | 0.471031i | \(0.843882\pi\) | |||||||
\(42\) | −7.66485 | −0.0281598 | ||||||||
\(43\) | 273.246 | + | 69.5953i | 0.969062 | + | 0.246818i | ||||
\(44\) | −345.872 | −1.18505 | ||||||||
\(45\) | 143.634 | + | 180.111i | 0.475815 | + | 0.596653i | ||||
\(46\) | −34.3184 | + | 43.0339i | −0.109999 | + | 0.137935i | ||||
\(47\) | 40.1847 | − | 176.061i | 0.124714 | − | 0.546407i | −0.873509 | − | 0.486809i | \(-0.838161\pi\) |
0.998222 | − | 0.0595981i | \(-0.0189819\pi\) | |||||||
\(48\) | 71.3525 | − | 34.3616i | 0.214559 | − | 0.103326i | ||||
\(49\) | −29.4144 | −0.0857564 | ||||||||
\(50\) | −14.1749 | −0.0400925 | ||||||||
\(51\) | 4.66364 | − | 2.24589i | 0.0128047 | − | 0.00616642i | ||||
\(52\) | 65.0615 | + | 285.053i | 0.173508 | + | 0.760187i | ||||
\(53\) | −361.525 | − | 174.101i | −0.936967 | − | 0.451220i | −0.0978689 | − | 0.995199i | \(-0.531203\pi\) |
−0.839098 | + | 0.543980i | \(0.816917\pi\) | |||||||
\(54\) | −5.04037 | − | 22.0833i | −0.0127020 | − | 0.0556511i | ||||
\(55\) | −248.631 | − | 311.773i | −0.609552 | − | 0.764354i | ||||
\(56\) | 84.9487 | − | 40.9091i | 0.202710 | − | 0.0976199i | ||||
\(57\) | −52.0567 | − | 65.2770i | −0.120966 | − | 0.151687i | ||||
\(58\) | 16.3263 | − | 71.5300i | 0.0369611 | − | 0.161937i | ||||
\(59\) | −150.434 | − | 72.4452i | −0.331946 | − | 0.159857i | 0.260485 | − | 0.965478i | \(-0.416118\pi\) |
−0.592431 | + | 0.805621i | \(0.701832\pi\) | |||||||
\(60\) | 83.4713 | + | 40.1977i | 0.179602 | + | 0.0864916i | ||||
\(61\) | −520.330 | + | 652.473i | −1.09215 | + | 1.36952i | −0.168764 | + | 0.985656i | \(0.553978\pi\) |
−0.923390 | + | 0.383862i | \(0.874594\pi\) | |||||||
\(62\) | −18.8005 | + | 82.3706i | −0.0385108 | + | 0.168727i | ||||
\(63\) | 99.8196 | + | 437.338i | 0.199620 | + | 0.874594i | ||||
\(64\) | −292.651 | + | 366.973i | −0.571585 | + | 0.716744i | ||||
\(65\) | −210.181 | + | 263.558i | −0.401072 | + | 0.502929i | ||||
\(66\) | 4.22339 | + | 18.5039i | 0.00787672 | + | 0.0345102i | ||||
\(67\) | 144.966 | − | 635.138i | 0.264335 | − | 1.15813i | −0.652161 | − | 0.758081i | \(-0.726137\pi\) |
0.916495 | − | 0.400045i | \(-0.131006\pi\) | |||||||
\(68\) | −19.7096 | + | 24.7150i | −0.0351490 | + | 0.0440755i | ||||
\(69\) | −191.125 | − | 92.0408i | −0.333460 | − | 0.160586i | ||||
\(70\) | 48.6246 | + | 23.4164i | 0.0830251 | + | 0.0399828i | ||||
\(71\) | −10.6342 | + | 46.5914i | −0.0177753 | + | 0.0778786i | −0.983038 | − | 0.183404i | \(-0.941288\pi\) |
0.965262 | + | 0.261283i | \(0.0841455\pi\) | |||||||
\(72\) | 84.0940 | + | 105.451i | 0.137647 | + | 0.172604i | ||||
\(73\) | 688.295 | − | 331.466i | 1.10355 | − | 0.531440i | 0.208775 | − | 0.977964i | \(-0.433052\pi\) |
0.894772 | + | 0.446524i | \(0.147338\pi\) | |||||||
\(74\) | 17.5163 | + | 21.9648i | 0.0275166 | + | 0.0345048i | ||||
\(75\) | −12.1562 | − | 53.2599i | −0.0187157 | − | 0.0819989i | ||||
\(76\) | 459.399 | + | 221.235i | 0.693377 | + | 0.333913i | ||||
\(77\) | −172.788 | − | 757.035i | −0.255728 | − | 1.12042i | ||||
\(78\) | 14.4557 | − | 6.96149i | 0.0209844 | − | 0.0101056i | ||||
\(79\) | 395.977 | 0.563936 | 0.281968 | − | 0.959424i | \(-0.409013\pi\) | ||||
0.281968 | + | 0.959424i | \(0.409013\pi\) | |||||||
\(80\) | −557.626 | −0.779305 | ||||||||
\(81\) | −537.575 | + | 258.882i | −0.737414 | + | 0.355120i | ||||
\(82\) | 7.11537 | − | 31.1745i | 0.00958246 | − | 0.0419835i | ||||
\(83\) | 264.118 | − | 331.193i | 0.349285 | − | 0.437990i | −0.575892 | − | 0.817526i | \(-0.695345\pi\) |
0.925177 | + | 0.379536i | \(0.123916\pi\) | |||||||
\(84\) | 112.480 | + | 141.045i | 0.146102 | + | 0.183206i | ||||
\(85\) | −36.4467 | −0.0465082 | ||||||||
\(86\) | 38.8593 | + | 86.1356i | 0.0487245 | + | 0.108003i | ||||
\(87\) | 282.764 | 0.348454 | ||||||||
\(88\) | −145.567 | − | 182.535i | −0.176335 | − | 0.221118i | ||||
\(89\) | 766.874 | − | 961.630i | 0.913354 | − | 1.14531i | −0.0756076 | − | 0.997138i | \(-0.524090\pi\) |
0.988962 | − | 0.148172i | \(-0.0473389\pi\) | |||||||
\(90\) | −17.1793 | + | 75.2676i | −0.0201207 | + | 0.0881545i | ||||
\(91\) | −591.413 | + | 284.810i | −0.681285 | + | 0.328090i | ||||
\(92\) | 1295.51 | 1.46811 | ||||||||
\(93\) | −325.618 | −0.363065 | ||||||||
\(94\) | 54.5266 | − | 26.2586i | 0.0598297 | − | 0.0288124i | ||||
\(95\) | 130.816 | + | 573.143i | 0.141278 | + | 0.618981i | ||||
\(96\) | 73.4783 | + | 35.3853i | 0.0781182 | + | 0.0376198i | ||||
\(97\) | 83.2763 | + | 364.857i | 0.0871694 | + | 0.381914i | 0.999629 | − | 0.0272537i | \(-0.00867621\pi\) |
−0.912459 | + | 0.409168i | \(0.865819\pi\) | |||||||
\(98\) | −6.14608 | − | 7.70694i | −0.00633518 | − | 0.00794406i | ||||
\(99\) | 1000.79 | − | 481.954i | 1.01599 | − | 0.489275i | ||||
\(100\) | 208.013 | + | 260.839i | 0.208013 | + | 0.260839i | ||||
\(101\) | 88.7680 | − | 388.918i | 0.0874529 | − | 0.383156i | −0.912193 | − | 0.409761i | \(-0.865612\pi\) |
0.999646 | + | 0.0266042i | \(0.00846939\pi\) | |||||||
\(102\) | 1.56291 | + | 0.752656i | 0.00151716 | + | 0.000730628i | ||||
\(103\) | −235.979 | − | 113.641i | −0.225744 | − | 0.108713i | 0.317593 | − | 0.948227i | \(-0.397125\pi\) |
−0.543338 | + | 0.839514i | \(0.682840\pi\) | |||||||
\(104\) | −123.056 | + | 154.307i | −0.116025 | + | 0.145491i | ||||
\(105\) | −46.2835 | + | 202.781i | −0.0430173 | + | 0.188471i | ||||
\(106\) | −29.9232 | − | 131.102i | −0.0274188 | − | 0.120130i | ||||
\(107\) | 407.293 | − | 510.729i | 0.367986 | − | 0.461439i | −0.563021 | − | 0.826443i | \(-0.690361\pi\) |
0.931006 | + | 0.365004i | \(0.118932\pi\) | |||||||
\(108\) | −332.401 | + | 416.818i | −0.296160 | + | 0.371373i | ||||
\(109\) | 118.059 | + | 517.252i | 0.103744 | + | 0.454530i | 0.999941 | + | 0.0108745i | \(0.00346154\pi\) |
−0.896197 | + | 0.443656i | \(0.853681\pi\) | |||||||
\(110\) | 29.7375 | − | 130.289i | 0.0257760 | − | 0.112932i | ||||
\(111\) | −67.5075 | + | 84.6517i | −0.0577255 | + | 0.0723855i | ||||
\(112\) | −978.295 | − | 471.122i | −0.825359 | − | 0.397472i | ||||
\(113\) | −1573.62 | − | 757.817i | −1.31004 | − | 0.630880i | −0.357104 | − | 0.934065i | \(-0.616236\pi\) |
−0.952932 | + | 0.303184i | \(0.901950\pi\) | |||||||
\(114\) | 6.22625 | − | 27.2790i | 0.00511528 | − | 0.0224115i | ||||
\(115\) | 931.279 | + | 1167.79i | 0.755149 | + | 0.946927i | ||||
\(116\) | −1555.85 | + | 749.257i | −1.24532 | + | 0.599713i | ||||
\(117\) | −585.463 | − | 734.147i | −0.462616 | − | 0.580102i | ||||
\(118\) | −12.4513 | − | 54.5528i | −0.00971387 | − | 0.0425592i | ||||
\(119\) | −63.9419 | − | 30.7928i | −0.0492567 | − | 0.0237208i | ||||
\(120\) | 13.9161 | + | 60.9704i | 0.0105863 | + | 0.0463818i | ||||
\(121\) | −533.179 | + | 256.765i | −0.400585 | + | 0.192912i | ||||
\(122\) | −279.678 | −0.207548 | ||||||||
\(123\) | 123.236 | 0.0903396 | ||||||||
\(124\) | 1791.64 | − | 862.809i | 1.29753 | − | 0.624859i | ||||
\(125\) | −338.548 | + | 1483.27i | −0.242245 | + | 1.06134i | ||||
\(126\) | −93.7308 | + | 117.535i | −0.0662715 | + | 0.0831018i | ||||
\(127\) | −1107.77 | − | 1389.10i | −0.774005 | − | 0.970571i | 0.225989 | − | 0.974130i | \(-0.427439\pi\) |
−0.999994 | + | 0.00355855i | \(0.998867\pi\) | |||||||
\(128\) | −662.452 | −0.457446 | ||||||||
\(129\) | −290.316 | + | 219.877i | −0.198147 | + | 0.150071i | ||||
\(130\) | −112.972 | −0.0762178 | ||||||||
\(131\) | 1574.78 | + | 1974.71i | 1.05030 | + | 1.31703i | 0.946596 | + | 0.322422i | \(0.104497\pi\) |
0.103701 | + | 0.994609i | \(0.466932\pi\) | |||||||
\(132\) | 278.523 | − | 349.257i | 0.183654 | − | 0.230295i | ||||
\(133\) | −254.729 | + | 1116.04i | −0.166074 | + | 0.727617i | ||||
\(134\) | 196.704 | − | 94.7277i | 0.126811 | − | 0.0610688i | ||||
\(135\) | −614.673 | −0.391871 | ||||||||
\(136\) | −21.3386 | −0.0134542 | ||||||||
\(137\) | −761.462 | + | 366.701i | −0.474862 | + | 0.228682i | −0.655978 | − | 0.754780i | \(-0.727743\pi\) |
0.181116 | + | 0.983462i | \(0.442029\pi\) | |||||||
\(138\) | −15.8193 | − | 69.3087i | −0.00975815 | − | 0.0427533i | ||||
\(139\) | 221.688 | + | 106.759i | 0.135276 | + | 0.0651454i | 0.500297 | − | 0.865854i | \(-0.333224\pi\) |
−0.365021 | + | 0.930999i | \(0.618938\pi\) | |||||||
\(140\) | −282.657 | − | 1238.40i | −0.170635 | − | 0.747599i | ||||
\(141\) | 145.424 | + | 182.356i | 0.0868577 | + | 0.108916i | ||||
\(142\) | −14.4295 | + | 6.94888i | −0.00852744 | + | 0.00410660i | ||||
\(143\) | 1013.44 | + | 1270.81i | 0.592644 | + | 0.743152i | ||||
\(144\) | 345.637 | − | 1514.33i | 0.200021 | − | 0.876351i | ||||
\(145\) | −1793.82 | − | 863.856i | −1.02737 | − | 0.494754i | ||||
\(146\) | 230.666 | + | 111.083i | 0.130754 | + | 0.0629676i | ||||
\(147\) | 23.6868 | − | 29.7024i | 0.0132902 | − | 0.0166654i | ||||
\(148\) | 147.138 | − | 644.656i | 0.0817210 | − | 0.358043i | ||||
\(149\) | −159.024 | − | 696.731i | −0.0874348 | − | 0.383077i | 0.912210 | − | 0.409723i | \(-0.134375\pi\) |
−0.999645 | + | 0.0266458i | \(0.991517\pi\) | |||||||
\(150\) | 11.4147 | − | 14.3136i | 0.00621338 | − | 0.00779134i | ||||
\(151\) | 986.176 | − | 1236.62i | 0.531482 | − | 0.666458i | −0.441520 | − | 0.897251i | \(-0.645561\pi\) |
0.973003 | + | 0.230793i | \(0.0741322\pi\) | |||||||
\(152\) | 76.5896 | + | 335.561i | 0.0408700 | + | 0.179063i | ||||
\(153\) | 22.5910 | − | 98.9776i | 0.0119371 | − | 0.0522998i | ||||
\(154\) | 162.249 | − | 203.453i | 0.0848984 | − | 0.106459i | ||||
\(155\) | 2065.67 | + | 994.776i | 1.07044 | + | 0.515499i | ||||
\(156\) | −340.236 | − | 163.849i | −0.174620 | − | 0.0840924i | ||||
\(157\) | 49.5642 | − | 217.155i | 0.0251953 | − | 0.110388i | −0.960767 | − | 0.277358i | \(-0.910541\pi\) |
0.985962 | + | 0.166970i | \(0.0533984\pi\) | |||||||
\(158\) | 82.7385 | + | 103.751i | 0.0416603 | + | 0.0522403i | ||||
\(159\) | 466.934 | − | 224.864i | 0.232895 | − | 0.112156i | ||||
\(160\) | −358.032 | − | 448.958i | −0.176906 | − | 0.221833i | ||||
\(161\) | 647.200 | + | 2835.57i | 0.316811 | + | 1.38804i | ||||
\(162\) | −180.155 | − | 86.7582i | −0.0873724 | − | 0.0420763i | ||||
\(163\) | −107.512 | − | 471.043i | −0.0516627 | − | 0.226349i | 0.942505 | − | 0.334191i | \(-0.108463\pi\) |
−0.994168 | + | 0.107842i | \(0.965606\pi\) | |||||||
\(164\) | −678.076 | + | 326.544i | −0.322859 | + | 0.155481i | ||||
\(165\) | 515.042 | 0.243006 | ||||||||
\(166\) | 141.963 | 0.0663764 | ||||||||
\(167\) | 3245.97 | − | 1563.18i | 1.50408 | − | 0.724325i | 0.513096 | − | 0.858331i | \(-0.328498\pi\) |
0.990980 | + | 0.134006i | \(0.0427842\pi\) | |||||||
\(168\) | −27.0979 | + | 118.724i | −0.0124443 | + | 0.0545221i | ||||
\(169\) | −513.094 | + | 643.399i | −0.233543 | + | 0.292854i | ||||
\(170\) | −7.61545 | − | 9.54947i | −0.00343575 | − | 0.00430830i | ||||
\(171\) | −1637.56 | −0.732323 | ||||||||
\(172\) | 1014.78 | − | 1979.09i | 0.449861 | − | 0.877351i | ||||
\(173\) | 3708.44 | 1.62975 | 0.814877 | − | 0.579634i | \(-0.196804\pi\) | ||||
0.814877 | + | 0.579634i | \(0.196804\pi\) | |||||||
\(174\) | 59.0830 | + | 74.0877i | 0.0257418 | + | 0.0322792i | ||||
\(175\) | −467.001 | + | 585.601i | −0.201725 | + | 0.252956i | ||||
\(176\) | −598.299 | + | 2621.32i | −0.256241 | + | 1.12267i | ||||
\(177\) | 194.296 | − | 93.5679i | 0.0825094 | − | 0.0397344i | ||||
\(178\) | 412.195 | 0.173569 | ||||||||
\(179\) | −1673.56 | −0.698813 | −0.349407 | − | 0.936971i | \(-0.613617\pi\) | ||||
−0.349407 | + | 0.936971i | \(0.613617\pi\) | |||||||
\(180\) | 1637.14 | − | 788.407i | 0.677920 | − | 0.326469i | ||||
\(181\) | −801.468 | − | 3511.46i | −0.329130 | − | 1.44201i | −0.820791 | − | 0.571228i | \(-0.806467\pi\) |
0.491661 | − | 0.870787i | \(-0.336390\pi\) | |||||||
\(182\) | −198.198 | − | 95.4471i | −0.0807220 | − | 0.0388737i | ||||
\(183\) | −239.849 | − | 1050.85i | −0.0968860 | − | 0.424485i | ||||
\(184\) | 545.241 | + | 683.710i | 0.218455 | + | 0.273934i | ||||
\(185\) | 686.872 | − | 330.780i | 0.272972 | − | 0.131456i | ||||
\(186\) | −68.0372 | − | 85.3159i | −0.0268211 | − | 0.0336326i | ||||
\(187\) | −39.1051 | + | 171.331i | −0.0152922 | + | 0.0669997i | ||||
\(188\) | −1283.36 | − | 618.036i | −0.497867 | − | 0.239760i | ||||
\(189\) | −1078.38 | − | 519.320i | −0.415029 | − | 0.199867i | ||||
\(190\) | −122.837 | + | 154.032i | −0.0469027 | + | 0.0588141i | ||||
\(191\) | −1091.86 | + | 4783.76i | −0.413636 | + | 1.81226i | 0.152927 | + | 0.988238i | \(0.451130\pi\) |
−0.566563 | + | 0.824019i | \(0.691727\pi\) | |||||||
\(192\) | −134.899 | − | 591.032i | −0.0507058 | − | 0.222157i | ||||
\(193\) | −2587.52 | + | 3244.65i | −0.965046 | + | 1.21013i | 0.0126108 | + | 0.999920i | \(0.495986\pi\) |
−0.977657 | + | 0.210209i | \(0.932586\pi\) | |||||||
\(194\) | −78.1967 | + | 98.0555i | −0.0289391 | + | 0.0362885i | ||||
\(195\) | −96.8839 | − | 424.476i | −0.0355795 | − | 0.155884i | ||||
\(196\) | −51.6275 | + | 226.195i | −0.0188147 | + | 0.0824326i | ||||
\(197\) | 2585.04 | − | 3241.54i | 0.934906 | − | 1.17234i | −0.0499129 | − | 0.998754i | \(-0.515894\pi\) |
0.984819 | − | 0.173582i | \(-0.0555342\pi\) | |||||||
\(198\) | 335.390 | + | 161.515i | 0.120379 | + | 0.0579717i | ||||
\(199\) | −3672.19 | − | 1768.43i | −1.30811 | − | 0.629955i | −0.355654 | − | 0.934618i | \(-0.615742\pi\) |
−0.952460 | + | 0.304663i | \(0.901456\pi\) | |||||||
\(200\) | −50.1130 | + | 219.559i | −0.0177176 | + | 0.0776259i | ||||
\(201\) | 524.617 | + | 657.848i | 0.184098 | + | 0.230851i | ||||
\(202\) | 120.449 | − | 58.0052i | 0.0419543 | − | 0.0202041i | ||||
\(203\) | −2417.21 | − | 3031.09i | −0.835739 | − | 1.04798i | ||||
\(204\) | −9.08522 | − | 39.8050i | −0.00311810 | − | 0.0136613i | ||||
\(205\) | −781.788 | − | 376.489i | −0.266353 | − | 0.128269i | ||||
\(206\) | −19.5318 | − | 85.5744i | −0.00660604 | − | 0.0289430i | ||||
\(207\) | −3748.58 | + | 1805.22i | −1.25867 | + | 0.606142i | ||||
\(208\) | 2272.93 | 0.757688 | ||||||||
\(209\) | 2834.62 | 0.938158 | ||||||||
\(210\) | −62.8020 | + | 30.2439i | −0.0206369 | + | 0.00993821i | ||||
\(211\) | −1228.94 | + | 5384.32i | −0.400964 | + | 1.75674i | 0.222545 | + | 0.974923i | \(0.428564\pi\) |
−0.623509 | + | 0.781816i | \(0.714293\pi\) | |||||||
\(212\) | −1973.37 | + | 2474.52i | −0.639299 | + | 0.801655i | ||||
\(213\) | −38.4840 | − | 48.2574i | −0.0123797 | − | 0.0155237i | ||||
\(214\) | 218.920 | 0.0699302 | ||||||||
\(215\) | 2513.46 | − | 507.941i | 0.797285 | − | 0.161122i | ||||
\(216\) | −359.876 | −0.113363 | ||||||||
\(217\) | 2783.55 | + | 3490.46i | 0.870781 | + | 1.09193i | ||||
\(218\) | −110.858 | + | 139.012i | −0.0344416 | + | 0.0431883i | ||||
\(219\) | −219.560 | + | 961.955i | −0.0677465 | + | 0.296817i | ||||
\(220\) | −2833.91 | + | 1364.74i | −0.868463 | + | 0.418230i | ||||
\(221\) | 148.560 | 0.0452181 | ||||||||
\(222\) | −36.2853 | −0.0109699 | ||||||||
\(223\) | 4196.31 | − | 2020.84i | 1.26012 | − | 0.606840i | 0.319910 | − | 0.947448i | \(-0.396347\pi\) |
0.940205 | + | 0.340608i | \(0.110633\pi\) | |||||||
\(224\) | −248.818 | − | 1090.14i | −0.0742180 | − | 0.325170i | ||||
\(225\) | −965.355 | − | 464.890i | −0.286031 | − | 0.137745i | ||||
\(226\) | −130.248 | − | 570.653i | −0.0383361 | − | 0.167961i | ||||
\(227\) | −3367.70 | − | 4222.96i | −0.984678 | − | 1.23475i | −0.972037 | − | 0.234827i | \(-0.924548\pi\) |
−0.0126409 | − | 0.999920i | \(-0.504024\pi\) | |||||||
\(228\) | −593.345 | + | 285.740i | −0.172347 | + | 0.0829981i | ||||
\(229\) | −1678.16 | − | 2104.35i | −0.484262 | − | 0.607245i | 0.478337 | − | 0.878176i | \(-0.341240\pi\) |
−0.962599 | + | 0.270931i | \(0.912668\pi\) | |||||||
\(230\) | −111.386 | + | 488.012i | −0.0319328 | + | 0.139907i | ||||
\(231\) | 903.588 | + | 435.145i | 0.257367 | + | 0.123941i | ||||
\(232\) | −1050.23 | − | 505.766i | −0.297204 | − | 0.143126i | ||||
\(233\) | −1150.34 | + | 1442.48i | −0.323439 | + | 0.405580i | −0.916794 | − | 0.399361i | \(-0.869232\pi\) |
0.593354 | + | 0.804941i | \(0.297803\pi\) | |||||||
\(234\) | 70.0243 | − | 306.797i | 0.0195625 | − | 0.0857091i | ||||
\(235\) | −365.445 | − | 1601.12i | −0.101442 | − | 0.444449i | ||||
\(236\) | −821.136 | + | 1029.67i | −0.226489 | + | 0.284008i | ||||
\(237\) | −318.872 | + | 399.853i | −0.0873966 | + | 0.109592i | ||||
\(238\) | −5.29242 | − | 23.1876i | −0.00144142 | − | 0.00631525i | ||||
\(239\) | 72.0216 | − | 315.547i | 0.0194924 | − | 0.0854019i | −0.964246 | − | 0.265008i | \(-0.914625\pi\) |
0.983739 | + | 0.179606i | \(0.0574824\pi\) | |||||||
\(240\) | 449.044 | − | 563.084i | 0.120774 | − | 0.151445i | ||||
\(241\) | −3229.72 | − | 1555.35i | −0.863254 | − | 0.415721i | −0.0507740 | − | 0.998710i | \(-0.516169\pi\) |
−0.812480 | + | 0.582989i | \(0.801883\pi\) | |||||||
\(242\) | −178.682 | − | 86.0488i | −0.0474633 | − | 0.0228571i | ||||
\(243\) | 577.567 | − | 2530.49i | 0.152473 | − | 0.668028i | ||||
\(244\) | 4104.20 | + | 5146.51i | 1.07682 | + | 1.35029i | ||||
\(245\) | −241.008 | + | 116.063i | −0.0628466 | + | 0.0302653i | ||||
\(246\) | 25.7498 | + | 32.2892i | 0.00667376 | + | 0.00836864i | ||||
\(247\) | −533.217 | − | 2336.18i | −0.137359 | − | 0.601811i | ||||
\(248\) | 1209.40 | + | 582.416i | 0.309665 | + | 0.149127i | ||||
\(249\) | 121.746 | + | 533.406i | 0.0309854 | + | 0.135756i | ||||
\(250\) | −459.374 | + | 221.223i | −0.116214 | + | 0.0559655i | ||||
\(251\) | −482.106 | −0.121236 | −0.0606180 | − | 0.998161i | \(-0.519307\pi\) | ||||
−0.0606180 | + | 0.998161i | \(0.519307\pi\) | |||||||
\(252\) | 3538.30 | 0.884492 | ||||||||
\(253\) | 6488.81 | − | 3124.84i | 1.61244 | − | 0.776511i | ||||
\(254\) | 132.495 | − | 580.498i | 0.0327302 | − | 0.143400i | ||||
\(255\) | 29.3498 | − | 36.8034i | 0.00720766 | − | 0.00903812i | ||||
\(256\) | 2202.79 | + | 2762.21i | 0.537791 | + | 0.674369i | ||||
\(257\) | 6028.15 | 1.46313 | 0.731567 | − | 0.681769i | \(-0.238789\pi\) | ||||
0.731567 | + | 0.681769i | \(0.238789\pi\) | |||||||
\(258\) | −118.271 | − | 30.1235i | −0.0285397 | − | 0.00726902i | ||||
\(259\) | 1484.51 | 0.356151 | ||||||||
\(260\) | 1657.84 | + | 2078.87i | 0.395442 | + | 0.495869i | ||||
\(261\) | 3457.83 | − | 4335.98i | 0.820055 | − | 1.02832i | ||||
\(262\) | −188.351 | + | 825.221i | −0.0444137 | + | 0.194589i | ||||
\(263\) | −1195.48 | + | 575.714i | −0.280291 | + | 0.134981i | −0.568748 | − | 0.822512i | \(-0.692572\pi\) |
0.288457 | + | 0.957493i | \(0.406858\pi\) | |||||||
\(264\) | 301.545 | 0.0702984 | ||||||||
\(265\) | −3649.13 | −0.845902 | ||||||||
\(266\) | −345.642 | + | 166.452i | −0.0796716 | + | 0.0383678i | ||||
\(267\) | 353.495 | + | 1548.76i | 0.0810244 | + | 0.354991i | ||||
\(268\) | −4629.72 | − | 2229.56i | −1.05524 | − | 0.508179i | ||||
\(269\) | −793.854 | − | 3478.10i | −0.179934 | − | 0.788341i | −0.981659 | − | 0.190648i | \(-0.938941\pi\) |
0.801725 | − | 0.597693i | \(-0.203916\pi\) | |||||||
\(270\) | −128.434 | − | 161.052i | −0.0289491 | − | 0.0363011i | ||||
\(271\) | 5462.33 | − | 2630.52i | 1.22440 | − | 0.589641i | 0.293868 | − | 0.955846i | \(-0.405057\pi\) |
0.930534 | + | 0.366205i | \(0.119343\pi\) | |||||||
\(272\) | 153.218 | + | 192.129i | 0.0341551 | + | 0.0428292i | ||||
\(273\) | 188.655 | − | 826.553i | 0.0418240 | − | 0.183243i | ||||
\(274\) | −255.186 | − | 122.891i | −0.0562640 | − | 0.0270953i | ||||
\(275\) | 1671.03 | + | 804.728i | 0.366426 | + | 0.176461i | ||||
\(276\) | −1043.25 | + | 1308.19i | −0.227522 | + | 0.285303i | ||||
\(277\) | −541.222 | + | 2371.25i | −0.117397 | + | 0.514349i | 0.881698 | + | 0.471814i | \(0.156401\pi\) |
−0.999095 | + | 0.0425349i | \(0.986457\pi\) | |||||||
\(278\) | 18.3490 | + | 80.3920i | 0.00395862 | + | 0.0173439i | ||||
\(279\) | −3981.87 | + | 4993.11i | −0.854439 | + | 1.07143i | ||||
\(280\) | 534.610 | − | 670.379i | 0.114104 | − | 0.143082i | ||||
\(281\) | 498.984 | + | 2186.19i | 0.105932 | + | 0.464118i | 0.999873 | + | 0.0159338i | \(0.00507211\pi\) |
−0.893941 | + | 0.448185i | \(0.852071\pi\) | |||||||
\(282\) | −17.3935 | + | 76.2058i | −0.00367293 | + | 0.0160922i | ||||
\(283\) | −1234.65 | + | 1548.21i | −0.259338 | + | 0.325199i | −0.894405 | − | 0.447257i | \(-0.852401\pi\) |
0.635068 | + | 0.772456i | \(0.280972\pi\) | |||||||
\(284\) | 339.620 | + | 163.552i | 0.0709603 | + | 0.0341727i | ||||
\(285\) | −684.097 | − | 329.444i | −0.142184 | − | 0.0684721i | ||||
\(286\) | −121.212 | + | 531.067i | −0.0250610 | + | 0.109799i | ||||
\(287\) | −1053.48 | − | 1321.02i | −0.216672 | − | 0.271698i | ||||
\(288\) | 1441.15 | − | 694.021i | 0.294863 | − | 0.141999i | ||||
\(289\) | −3053.19 | − | 3828.58i | −0.621451 | − | 0.779275i | ||||
\(290\) | −148.473 | − | 650.502i | −0.0300642 | − | 0.131720i | ||||
\(291\) | −435.490 | − | 209.721i | −0.0877280 | − | 0.0422476i | ||||
\(292\) | −1340.87 | − | 5874.72i | −0.268727 | − | 1.17737i | ||||
\(293\) | −3160.23 | + | 1521.88i | −0.630111 | + | 0.303445i | −0.721547 | − | 0.692366i | \(-0.756569\pi\) |
0.0914363 | + | 0.995811i | \(0.470854\pi\) | |||||||
\(294\) | 12.7317 | 0.00252560 | ||||||||
\(295\) | −1518.44 | −0.299684 | ||||||||
\(296\) | 402.146 | − | 193.663i | 0.0789672 | − | 0.0380286i | ||||
\(297\) | −659.507 | + | 2889.49i | −0.128850 | + | 0.564529i | ||||
\(298\) | 149.324 | − | 187.247i | 0.0290272 | − | 0.0363990i | ||||
\(299\) | −3795.97 | − | 4759.99i | −0.734202 | − | 0.920660i | ||||
\(300\) | −430.901 | −0.0829269 | ||||||||
\(301\) | 4838.74 | + | 1232.42i | 0.926579 | + | 0.235998i | ||||
\(302\) | 530.070 | 0.101000 | ||||||||
\(303\) | 321.242 | + | 402.825i | 0.0609071 | + | 0.0763751i | ||||
\(304\) | 2471.39 | − | 3099.03i | 0.466263 | − | 0.584676i | ||||
\(305\) | −1688.81 | + | 7399.16i | −0.317052 | + | 1.38910i | ||||
\(306\) | 30.6537 | − | 14.7620i | 0.00572665 | − | 0.00275781i | ||||
\(307\) | 5554.29 | 1.03257 | 0.516287 | − | 0.856416i | \(-0.327314\pi\) | ||||
0.516287 | + | 0.856416i | \(0.327314\pi\) | |||||||
\(308\) | −6124.82 | −1.13310 | ||||||||
\(309\) | 304.783 | − | 146.776i | 0.0561116 | − | 0.0270219i | ||||
\(310\) | 170.974 | + | 749.087i | 0.0313248 | + | 0.137243i | ||||
\(311\) | −4145.93 | − | 1996.57i | −0.755929 | − | 0.364036i | 0.0158939 | − | 0.999874i | \(-0.494941\pi\) |
−0.771823 | + | 0.635837i | \(0.780655\pi\) | |||||||
\(312\) | −56.7231 | − | 248.520i | −0.0102927 | − | 0.0450952i | ||||
\(313\) | 6105.67 | + | 7656.26i | 1.10260 | + | 1.38261i | 0.916478 | + | 0.400085i | \(0.131019\pi\) |
0.186118 | + | 0.982527i | \(0.440409\pi\) | |||||||
\(314\) | 67.2536 | − | 32.3876i | 0.0120871 | − | 0.00582082i | ||||
\(315\) | 2543.52 | + | 3189.47i | 0.454956 | + | 0.570496i | ||||
\(316\) | 695.010 | − | 3045.04i | 0.123726 | − | 0.542078i | ||||
\(317\) | −8401.02 | − | 4045.72i | −1.48848 | − | 0.716814i | −0.499700 | − | 0.866198i | \(-0.666557\pi\) |
−0.988779 | + | 0.149384i | \(0.952271\pi\) | |||||||
\(318\) | 156.482 | + | 75.3576i | 0.0275945 | + | 0.0132888i | ||||
\(319\) | −5985.52 | + | 7505.61i | −1.05055 | + | 1.31735i | ||||
\(320\) | −949.844 | + | 4161.54i | −0.165931 | + | 0.726991i | ||||
\(321\) | 187.744 | + | 822.559i | 0.0326443 | + | 0.143024i | ||||
\(322\) | −607.723 | + | 762.060i | −0.105177 | + | 0.131888i | ||||
\(323\) | 161.531 | − | 202.554i | 0.0278262 | − | 0.0348929i | ||||
\(324\) | 1047.25 | + | 4588.29i | 0.179569 | + | 0.786745i | ||||
\(325\) | 348.887 | − | 1528.57i | 0.0595469 | − | 0.260892i | ||||
\(326\) | 100.954 | − | 126.593i | 0.0171514 | − | 0.0215071i | ||||
\(327\) | −617.386 | − | 297.318i | −0.104408 | − | 0.0502804i | ||||
\(328\) | −457.717 | − | 220.425i | −0.0770525 | − | 0.0371065i | ||||
\(329\) | 711.605 | − | 3117.75i | 0.119246 | − | 0.522453i | ||||
\(330\) | 107.617 | + | 134.947i | 0.0179519 | + | 0.0225109i | ||||
\(331\) | −9621.61 | + | 4633.53i | −1.59774 | + | 0.769431i | −0.999492 | − | 0.0318804i | \(-0.989850\pi\) |
−0.598248 | + | 0.801311i | \(0.704136\pi\) | |||||||
\(332\) | −2083.28 | − | 2612.35i | −0.344382 | − | 0.431841i | ||||
\(333\) | 472.545 | + | 2070.35i | 0.0777637 | + | 0.340705i | ||||
\(334\) | 1087.81 | + | 523.861i | 0.178210 | + | 0.0858216i | ||||
\(335\) | −1318.34 | − | 5776.02i | −0.215010 | − | 0.942022i | ||||
\(336\) | 1263.54 | − | 608.486i | 0.205153 | − | 0.0987966i | ||||
\(337\) | 3164.05 | 0.511445 | 0.255722 | − | 0.966750i | \(-0.417687\pi\) | ||||
0.255722 | + | 0.966750i | \(0.417687\pi\) | |||||||
\(338\) | −275.788 | −0.0443813 | ||||||||
\(339\) | 2032.44 | − | 978.773i | 0.325626 | − | 0.156813i | ||||
\(340\) | −63.9703 | + | 280.272i | −0.0102038 | + | 0.0447056i | ||||
\(341\) | 6892.64 | − | 8643.10i | 1.09460 | − | 1.37258i | ||||
\(342\) | −342.164 | − | 429.060i | −0.0540998 | − | 0.0678390i | ||||
\(343\) | −6594.84 | −1.03816 | ||||||||
\(344\) | 1471.57 | − | 297.387i | 0.230644 | − | 0.0466106i | ||||
\(345\) | −1929.16 | −0.301050 | ||||||||
\(346\) | 774.870 | + | 971.656i | 0.120397 | + | 0.150973i | ||||
\(347\) | 2478.64 | − | 3108.12i | 0.383459 | − | 0.480843i | −0.552218 | − | 0.833700i | \(-0.686218\pi\) |
0.935677 | + | 0.352857i | \(0.114790\pi\) | |||||||
\(348\) | 496.301 | − | 2174.44i | 0.0764499 | − | 0.334949i | ||||
\(349\) | 3129.06 | − | 1506.88i | 0.479928 | − | 0.231121i | −0.178248 | − | 0.983986i | \(-0.557043\pi\) |
0.658175 | + | 0.752865i | \(0.271329\pi\) | |||||||
\(350\) | −251.013 | −0.0383349 | ||||||||
\(351\) | 2505.45 | 0.381001 | ||||||||
\(352\) | −2494.64 | + | 1201.35i | −0.377740 | + | 0.181910i | ||||
\(353\) | 2238.10 | + | 9805.75i | 0.337456 | + | 1.47849i | 0.804338 | + | 0.594172i | \(0.202520\pi\) |
−0.466882 | + | 0.884320i | \(0.654623\pi\) | |||||||
\(354\) | 65.1135 | + | 31.3570i | 0.00977612 | + | 0.00470793i | ||||
\(355\) | 96.7085 | + | 423.708i | 0.0144585 | + | 0.0633466i | ||||
\(356\) | −6048.87 | − | 7585.04i | −0.900532 | − | 1.12923i | ||||
\(357\) | 82.5853 | − | 39.7710i | 0.0122434 | − | 0.00589609i | ||||
\(358\) | −349.686 | − | 438.492i | −0.0516242 | − | 0.0647347i | ||||
\(359\) | −243.089 | + | 1065.04i | −0.0357374 | + | 0.156576i | −0.989648 | − | 0.143514i | \(-0.954160\pi\) |
0.953911 | + | 0.300090i | \(0.0970168\pi\) | |||||||
\(360\) | 1105.11 | + | 532.194i | 0.161790 | + | 0.0779141i | ||||
\(361\) | 2414.70 | + | 1162.86i | 0.352049 | + | 0.169538i | ||||
\(362\) | 752.580 | − | 943.705i | 0.109267 | − | 0.137017i | ||||
\(363\) | 170.079 | − | 745.166i | 0.0245919 | − | 0.107744i | ||||
\(364\) | 1152.13 | + | 5047.82i | 0.165901 | + | 0.726861i | ||||
\(365\) | 4331.67 | − | 5431.74i | 0.621177 | − | 0.778932i | ||||
\(366\) | 225.219 | − | 282.415i | 0.0321649 | − | 0.0403336i | ||||
\(367\) | 1854.91 | + | 8126.87i | 0.263829 | + | 1.15591i | 0.917059 | + | 0.398751i | \(0.130556\pi\) |
−0.653230 | + | 0.757159i | \(0.726587\pi\) | |||||||
\(368\) | 2241.01 | − | 9818.49i | 0.317447 | − | 1.39083i | ||||
\(369\) | 1507.01 | − | 1889.73i | 0.212606 | − | 0.266599i | ||||
\(370\) | 230.189 | + | 110.853i | 0.0323431 | + | 0.0155756i | ||||
\(371\) | −6402.01 | − | 3083.05i | −0.895891 | − | 0.431439i | ||||
\(372\) | −571.517 | + | 2503.98i | −0.0796553 | + | 0.348993i | ||||
\(373\) | 2274.61 | + | 2852.27i | 0.315750 | + | 0.395938i | 0.914227 | − | 0.405202i | \(-0.132799\pi\) |
−0.598477 | + | 0.801140i | \(0.704227\pi\) | |||||||
\(374\) | −53.0616 | + | 25.5531i | −0.00733624 | + | 0.00353295i | ||||
\(375\) | −1225.17 | − | 1536.31i | −0.168713 | − | 0.211559i | ||||
\(376\) | −213.959 | − | 937.415i | −0.0293460 | − | 0.128573i | ||||
\(377\) | 7311.73 | + | 3521.15i | 0.998869 | + | 0.481030i | ||||
\(378\) | −89.2566 | − | 391.059i | −0.0121451 | − | 0.0532114i | ||||
\(379\) | 8112.68 | − | 3906.86i | 1.09953 | − | 0.529504i | 0.206017 | − | 0.978548i | \(-0.433950\pi\) |
0.893509 | + | 0.449044i | \(0.148236\pi\) | |||||||
\(380\) | 4637.03 | 0.625987 | ||||||||
\(381\) | 2294.76 | 0.308567 | ||||||||
\(382\) | −1481.55 | + | 713.475i | −0.198436 | + | 0.0955617i | ||||
\(383\) | −835.142 | + | 3659.00i | −0.111420 | + | 0.488162i | 0.888170 | + | 0.459515i | \(0.151977\pi\) |
−0.999590 | + | 0.0286466i | \(0.990880\pi\) | |||||||
\(384\) | 533.459 | − | 668.937i | 0.0708932 | − | 0.0888972i | ||||
\(385\) | −4402.84 | − | 5520.99i | −0.582830 | − | 0.730846i | ||||
\(386\) | −1390.79 | −0.183393 | ||||||||
\(387\) | −178.525 | + | 7140.59i | −0.0234494 | + | 0.937924i | ||||
\(388\) | 2951.89 | 0.386236 | ||||||||
\(389\) | 5119.96 | + | 6420.22i | 0.667332 | + | 0.836808i | 0.994119 | − | 0.108290i | \(-0.0345375\pi\) |
−0.326787 | + | 0.945098i | \(0.605966\pi\) | |||||||
\(390\) | 90.9742 | − | 114.078i | 0.0118119 | − | 0.0148117i | ||||
\(391\) | 146.473 | − | 641.741i | 0.0189449 | − | 0.0830032i | ||||
\(392\) | −141.104 | + | 67.9521i | −0.0181807 | + | 0.00875536i | ||||
\(393\) | −3262.17 | −0.418715 | ||||||||
\(394\) | 1389.46 | 0.177665 | ||||||||
\(395\) | 3244.45 | − | 1562.44i | 0.413281 | − | 0.199025i | ||||
\(396\) | −1949.63 | − | 8541.90i | −0.247406 | − | 1.08396i | ||||
\(397\) | 9467.82 | + | 4559.46i | 1.19692 | + | 0.576405i | 0.922796 | − | 0.385289i | \(-0.125898\pi\) |
0.274122 | + | 0.961695i | \(0.411613\pi\) | |||||||
\(398\) | −303.945 | − | 1331.67i | −0.0382798 | − | 0.167715i | ||||
\(399\) | −921.838 | − | 1155.95i | −0.115663 | − | 0.145037i | ||||
\(400\) | 2336.70 | − | 1125.29i | 0.292087 | − | 0.140662i | ||||
\(401\) | 1460.90 | + | 1831.92i | 0.181930 | + | 0.228133i | 0.864431 | − | 0.502752i | \(-0.167679\pi\) |
−0.682501 | + | 0.730885i | \(0.739108\pi\) | |||||||
\(402\) | −62.7468 | + | 274.912i | −0.00778489 | + | 0.0341078i | ||||
\(403\) | −8419.85 | − | 4054.78i | −1.04075 | − | 0.501199i | ||||
\(404\) | −2834.95 | − | 1365.24i | −0.349119 | − | 0.168127i | ||||
\(405\) | −3383.13 | + | 4242.31i | −0.415084 | + | 0.520499i | ||||
\(406\) | 289.111 | − | 1266.68i | 0.0353407 | − | 0.154838i | ||||
\(407\) | −817.978 | − | 3583.79i | −0.0996208 | − | 0.436467i | ||||
\(408\) | 17.1836 | − | 21.5475i | 0.00208508 | − | 0.00261461i | ||||
\(409\) | −5009.49 | + | 6281.70i | −0.605632 | + | 0.759438i | −0.986244 | − | 0.165297i | \(-0.947142\pi\) |
0.380612 | + | 0.924735i | \(0.375713\pi\) | |||||||
\(410\) | −64.7080 | − | 283.504i | −0.00779439 | − | 0.0341495i | ||||
\(411\) | 242.900 | − | 1064.21i | 0.0291517 | − | 0.127722i | ||||
\(412\) | −1288.08 | + | 1615.20i | −0.154027 | + | 0.193144i | ||||
\(413\) | −2663.94 | − | 1282.88i | −0.317394 | − | 0.152849i | ||||
\(414\) | −1256.25 | − | 604.976i | −0.149133 | − | 0.0718187i | ||||
\(415\) | 857.234 | − | 3755.79i | 0.101397 | − | 0.444251i | ||||
\(416\) | 1459.37 | + | 1829.99i | 0.171998 | + | 0.215679i | ||||
\(417\) | −286.325 | + | 137.887i | −0.0336245 | + | 0.0161927i | ||||
\(418\) | 592.288 | + | 742.705i | 0.0693056 | + | 0.0869065i | ||||
\(419\) | 111.428 | + | 488.200i | 0.0129920 | + | 0.0569215i | 0.981008 | − | 0.193965i | \(-0.0621349\pi\) |
−0.968016 | + | 0.250887i | \(0.919278\pi\) | |||||||
\(420\) | 1478.14 | + | 711.834i | 0.171728 | + | 0.0826999i | ||||
\(421\) | −2068.36 | − | 9062.06i | −0.239443 | − | 1.04907i | −0.941517 | − | 0.336965i | \(-0.890600\pi\) |
0.702074 | − | 0.712104i | \(-0.252257\pi\) | |||||||
\(422\) | −1667.54 | + | 803.045i | −0.192357 | + | 0.0926342i | ||||
\(423\) | 4574.64 | 0.525832 | ||||||||
\(424\) | −2136.47 | −0.244708 | ||||||||
\(425\) | 152.728 | − | 73.5498i | 0.0174315 | − | 0.00839456i | ||||
\(426\) | 4.60288 | − | 20.1665i | 0.000523498 | − | 0.00229360i | ||||
\(427\) | −9214.18 | + | 11554.2i | −1.04428 | + | 1.30948i | ||||
\(428\) | −3212.60 | − | 4028.47i | −0.362820 | − | 0.454961i | ||||
\(429\) | −2099.35 | −0.236265 | ||||||||
\(430\) | 658.267 | + | 552.422i | 0.0738244 | + | 0.0619539i | ||||
\(431\) | −2246.60 | −0.251079 | −0.125540 | − | 0.992089i | \(-0.540066\pi\) | ||||
−0.125540 | + | 0.992089i | \(0.540066\pi\) | |||||||
\(432\) | 2584.01 | + | 3240.25i | 0.287786 | + | 0.360872i | ||||
\(433\) | −537.994 | + | 674.623i | −0.0597098 | + | 0.0748737i | −0.810790 | − | 0.585338i | \(-0.800962\pi\) |
0.751080 | + | 0.660211i | \(0.229533\pi\) | |||||||
\(434\) | −332.927 | + | 1458.65i | −0.0368225 | + | 0.161330i | ||||
\(435\) | 2316.83 | − | 1115.73i | 0.255365 | − | 0.122977i | ||||
\(436\) | 4184.85 | 0.459674 | ||||||||
\(437\) | −10617.4 | −1.16225 | ||||||||
\(438\) | −297.920 | + | 143.471i | −0.0325004 | + | 0.0156514i | ||||
\(439\) | −828.436 | − | 3629.62i | −0.0900663 | − | 0.394606i | 0.909721 | − | 0.415220i | \(-0.136295\pi\) |
−0.999788 | + | 0.0206134i | \(0.993438\pi\) | |||||||
\(440\) | −1912.95 | − | 921.230i | −0.207265 | − | 0.0998134i | ||||
\(441\) | −165.805 | − | 726.440i | −0.0179036 | − | 0.0784408i | ||||
\(442\) | 31.0412 | + | 38.9244i | 0.00334045 | + | 0.00418879i | ||||
\(443\) | 3602.67 | − | 1734.96i | 0.386384 | − | 0.186073i | −0.230600 | − | 0.973049i | \(-0.574069\pi\) |
0.616984 | + | 0.786976i | \(0.288354\pi\) | |||||||
\(444\) | 532.478 | + | 667.707i | 0.0569151 | + | 0.0713693i | ||||
\(445\) | 2489.01 | − | 10905.1i | 0.265147 | − | 1.16168i | ||||
\(446\) | 1406.29 | + | 677.235i | 0.149305 | + | 0.0719013i | ||||
\(447\) | 831.610 | + | 400.482i | 0.0879951 | + | 0.0423762i | ||||
\(448\) | −5182.37 | + | 6498.49i | −0.546527 | + | 0.685323i | ||||
\(449\) | −2709.84 | + | 11872.6i | −0.284822 | + | 1.24789i | 0.606707 | + | 0.794925i | \(0.292490\pi\) |
−0.891530 | + | 0.452963i | \(0.850367\pi\) | |||||||
\(450\) | −79.9018 | − | 350.072i | −0.00837023 | − | 0.0366724i | ||||
\(451\) | −2608.63 | + | 3271.12i | −0.272363 | + | 0.341533i | ||||
\(452\) | −8589.55 | + | 10771.0i | −0.893846 | + | 1.12085i | ||||
\(453\) | 454.583 | + | 1991.66i | 0.0471483 | + | 0.206570i | ||||
\(454\) | 402.794 | − | 1764.75i | 0.0416389 | − | 0.182432i | ||||
\(455\) | −3721.95 | + | 4667.18i | −0.383490 | + | 0.480881i | ||||
\(456\) | −400.522 | − | 192.881i | −0.0411319 | − | 0.0198081i | ||||
\(457\) | −9263.24 | − | 4460.94i | −0.948175 | − | 0.456617i | −0.105129 | − | 0.994459i | \(-0.533526\pi\) |
−0.843046 | + | 0.537842i | \(0.819240\pi\) | |||||||
\(458\) | 200.717 | − | 879.397i | 0.0204779 | − | 0.0897194i | ||||
\(459\) | 168.892 | + | 211.784i | 0.0171748 | + | 0.0215365i | ||||
\(460\) | 10614.8 | − | 5111.80i | 1.07590 | − | 0.518128i | ||||
\(461\) | 4784.56 | + | 5999.64i | 0.483382 | + | 0.606142i | 0.962391 | − | 0.271668i | \(-0.0875754\pi\) |
−0.479009 | + | 0.877810i | \(0.659004\pi\) | |||||||
\(462\) | 74.7893 | + | 327.673i | 0.00753142 | + | 0.0329973i | ||||
\(463\) | 2391.24 | + | 1151.56i | 0.240022 | + | 0.115589i | 0.550029 | − | 0.835146i | \(-0.314617\pi\) |
−0.310006 | + | 0.950735i | \(0.600331\pi\) | |||||||
\(464\) | 2987.17 | + | 13087.7i | 0.298871 | + | 1.30944i | ||||
\(465\) | −2667.96 | + | 1284.82i | −0.266072 | + | 0.128134i | ||||
\(466\) | −618.309 | −0.0614648 | ||||||||
\(467\) | −5990.23 | −0.593565 | −0.296782 | − | 0.954945i | \(-0.595914\pi\) | ||||
−0.296782 | + | 0.954945i | \(0.595914\pi\) | |||||||
\(468\) | −6673.13 | + | 3213.61i | −0.659115 | + | 0.317413i | ||||
\(469\) | 2567.11 | − | 11247.2i | 0.252746 | − | 1.10735i | ||||
\(470\) | 343.153 | − | 430.301i | 0.0336776 | − | 0.0422304i | ||||
\(471\) | 179.368 | + | 224.920i | 0.0175474 | + | 0.0220037i | ||||
\(472\) | −889.007 | −0.0866946 | ||||||||
\(473\) | 309.027 | − | 12360.4i | 0.0300403 | − | 1.20155i | ||||
\(474\) | −171.394 | −0.0166084 | ||||||||
\(475\) | −1704.79 | − | 2137.73i | −0.164676 | − | 0.206497i | ||||
\(476\) | −349.024 | + | 437.662i | −0.0336081 | + | 0.0421433i | ||||
\(477\) | 2261.86 | − | 9909.87i | 0.217114 | − | 0.951241i | ||||
\(478\) | 97.7259 | − | 47.0623i | 0.00935121 | − | 0.00450331i | ||||
\(479\) | 9568.56 | 0.912732 | 0.456366 | − | 0.889792i | \(-0.349151\pi\) | ||||
0.456366 | + | 0.889792i | \(0.349151\pi\) | |||||||
\(480\) | 741.669 | 0.0705258 | ||||||||
\(481\) | −2799.74 | + | 1348.29i | −0.265400 | + | 0.127810i | ||||
\(482\) | −267.321 | − | 1171.21i | −0.0252617 | − | 0.110679i | ||||
\(483\) | −3384.50 | − | 1629.89i | −0.318841 | − | 0.153546i | ||||
\(484\) | 1038.68 | + | 4550.78i | 0.0975474 | + | 0.427383i | ||||
\(485\) | 2121.98 | + | 2660.87i | 0.198668 | + | 0.249122i | ||||
\(486\) | 783.700 | − | 377.410i | 0.0731468 | − | 0.0352256i | ||||
\(487\) | 5406.60 | + | 6779.66i | 0.503072 | + | 0.630833i | 0.966919 | − | 0.255083i | \(-0.0821027\pi\) |
−0.463847 | + | 0.885915i | \(0.653531\pi\) | |||||||
\(488\) | −988.756 | + | 4332.03i | −0.0917191 | + | 0.401847i | ||||
\(489\) | 562.231 | + | 270.756i | 0.0519938 | + | 0.0250389i | ||||
\(490\) | −80.7679 | − | 38.8958i | −0.00744637 | − | 0.00358598i | ||||
\(491\) | 6036.43 | − | 7569.44i | 0.554827 | − | 0.695732i | −0.422765 | − | 0.906239i | \(-0.638940\pi\) |
0.977592 | + | 0.210508i | \(0.0675117\pi\) | |||||||
\(492\) | 216.300 | − | 947.673i | 0.0198202 | − | 0.0868382i | ||||
\(493\) | 195.243 | + | 855.416i | 0.0178363 | + | 0.0781461i | ||||
\(494\) | 500.692 | − | 627.848i | 0.0456016 | − | 0.0571826i | ||||
\(495\) | 6298.28 | − | 7897.79i | 0.571892 | − | 0.717130i | ||||
\(496\) | −3439.89 | − | 15071.1i | −0.311402 | − | 1.36434i | ||||
\(497\) | −188.314 | + | 825.057i | −0.0169960 | + | 0.0744645i | ||||
\(498\) | −114.320 | + | 143.353i | −0.0102868 | + | 0.0128992i | ||||
\(499\) | −1197.62 | − | 576.744i | −0.107441 | − | 0.0517407i | 0.379391 | − | 0.925236i | \(-0.376133\pi\) |
−0.486832 | + | 0.873496i | \(0.661848\pi\) | |||||||
\(500\) | 10812.1 | + | 5206.81i | 0.967060 | + | 0.465712i | ||||
\(501\) | −1035.44 | + | 4536.54i | −0.0923350 | + | 0.404546i | ||||
\(502\) | −100.735 | − | 126.318i | −0.00895621 | − | 0.0112307i | ||||
\(503\) | 12145.0 | − | 5848.74i | 1.07658 | − | 0.518454i | 0.190359 | − | 0.981715i | \(-0.439035\pi\) |
0.886222 | + | 0.463260i | \(0.153321\pi\) | |||||||
\(504\) | 1489.17 | + | 1867.36i | 0.131613 | + | 0.165037i | ||||
\(505\) | −807.266 | − | 3536.87i | −0.0711344 | − | 0.311660i | ||||
\(506\) | 2174.57 | + | 1047.22i | 0.191050 | + | 0.0920049i | ||||
\(507\) | −236.513 | − | 1036.23i | −0.0207178 | − | 0.0907706i | ||||
\(508\) | −12626.4 | + | 6080.55i | −1.10277 | + | 0.531065i | ||||
\(509\) | −11992.7 | −1.04433 | −0.522166 | − | 0.852844i | \(-0.674876\pi\) | ||||
−0.522166 | + | 0.852844i | \(0.674876\pi\) | |||||||
\(510\) | 15.7755 | 0.00136971 | ||||||||
\(511\) | 12188.6 | − | 5869.71i | 1.05517 | − | 0.508142i | ||||
\(512\) | −1442.74 | + | 6321.06i | −0.124533 | + | 0.545614i | ||||
\(513\) | 2724.22 | − | 3416.07i | 0.234459 | − | 0.294002i | ||||
\(514\) | 1259.57 | + | 1579.45i | 0.108088 | + | 0.135538i | ||||
\(515\) | −2381.90 | −0.203804 | ||||||||
\(516\) | 1181.28 | + | 2618.43i | 0.100781 | + | 0.223392i | ||||
\(517\) | −7918.73 | −0.673627 | ||||||||
\(518\) | 310.185 | + | 388.960i | 0.0263103 | + | 0.0329921i | ||||
\(519\) | −2986.33 | + | 3744.74i | −0.252573 | + | 0.316716i | ||||
\(520\) | −399.396 | + | 1749.87i | −0.0336820 | + | 0.147571i | ||||
\(521\) | −8936.73 | + | 4303.70i | −0.751488 | + | 0.361898i | −0.770095 | − | 0.637929i | \(-0.779791\pi\) |
0.0186069 | + | 0.999827i | \(0.494077\pi\) | |||||||
\(522\) | 1858.59 | 0.155839 | ||||||||
\(523\) | 20341.3 | 1.70069 | 0.850347 | − | 0.526223i | \(-0.176392\pi\) | ||||
0.850347 | + | 0.526223i | \(0.176392\pi\) | |||||||
\(524\) | 17949.4 | − | 8643.96i | 1.49642 | − | 0.720636i | ||||
\(525\) | −215.267 | − | 943.144i | −0.0178952 | − | 0.0784042i | ||||
\(526\) | −400.637 | − | 192.937i | −0.0332103 | − | 0.0159932i | ||||
\(527\) | −224.833 | − | 985.057i | −0.0185842 | − | 0.0814227i | ||||
\(528\) | −2165.18 | − | 2715.05i | −0.178461 | − | 0.223783i | ||||
\(529\) | −13342.6 | + | 6425.44i | −1.09662 | + | 0.528104i | ||||
\(530\) | −762.476 | − | 956.115i | −0.0624903 | − | 0.0783604i | ||||
\(531\) | 941.183 | − | 4123.59i | 0.0769187 | − | 0.337003i | ||||
\(532\) | 8135.19 | + | 3917.70i | 0.662980 | + | 0.319274i | ||||
\(533\) | 3186.63 | + | 1534.60i | 0.258965 | + | 0.124711i | ||||
\(534\) | −331.932 | + | 416.230i | −0.0268991 | + | 0.0337304i | ||||
\(535\) | 1321.93 | − | 5791.75i | 0.106826 | − | 0.468036i | ||||
\(536\) | −771.854 | − | 3381.71i | −0.0621997 | − | 0.272515i | ||||
\(537\) | 1347.68 | − | 1689.94i | 0.108299 | − | 0.135803i | ||||
\(538\) | 745.431 | − | 934.741i | 0.0597357 | − | 0.0749062i | ||||
\(539\) | 287.010 | + | 1257.47i | 0.0229358 | + | 0.100488i | ||||
\(540\) | −1078.86 | + | 4726.79i | −0.0859753 | + | 0.376683i | ||||
\(541\) | 13731.5 | − | 17218.7i | 1.09124 | − | 1.36838i | 0.167273 | − | 0.985911i | \(-0.446504\pi\) |
0.923970 | − | 0.382465i | \(-0.124925\pi\) | |||||||
\(542\) | 1830.57 | + | 881.556i | 0.145073 | + | 0.0698636i | ||||
\(543\) | 4191.24 | + | 2018.39i | 0.331240 | + | 0.159517i | ||||
\(544\) | −56.3120 | + | 246.719i | −0.00443815 | + | 0.0194448i | ||||
\(545\) | 3008.29 | + | 3772.28i | 0.236442 | + | 0.296489i | ||||
\(546\) | 255.986 | − | 123.276i | 0.0200645 | − | 0.00966253i | ||||
\(547\) | 3906.72 | + | 4898.88i | 0.305374 | + | 0.382927i | 0.910712 | − | 0.413042i | \(-0.135534\pi\) |
−0.605338 | + | 0.795968i | \(0.706962\pi\) | |||||||
\(548\) | 1483.40 | + | 6499.21i | 0.115635 | + | 0.506629i | ||||
\(549\) | −19047.0 | − | 9172.54i | −1.48070 | − | 0.713069i | ||||
\(550\) | 138.310 | + | 605.977i | 0.0107229 | + | 0.0469799i | ||||
\(551\) | 12751.1 | − | 6140.60i | 0.985871 | − | 0.474770i | ||||
\(552\) | −1129.47 | −0.0870898 | ||||||||
\(553\) | 7012.10 | 0.539213 | ||||||||
\(554\) | −734.383 | + | 353.660i | −0.0563194 | + | 0.0271220i | ||||
\(555\) | −219.106 | + | 959.965i | −0.0167577 | + | 0.0734203i | ||||
\(556\) | 1210.07 | − | 1517.38i | 0.0922995 | − | 0.115740i | ||||
\(557\) | 7054.95 | + | 8846.63i | 0.536675 | + | 0.672969i | 0.974056 | − | 0.226307i | \(-0.0726653\pi\) |
−0.437381 | + | 0.899276i | \(0.644094\pi\) | |||||||
\(558\) | −2140.26 | −0.162373 | ||||||||
\(559\) | −10245.0 | + | 2070.41i | −0.775168 | + | 0.156653i | ||||
\(560\) | −9874.63 | −0.745141 | ||||||||
\(561\) | −141.517 | − | 177.457i | −0.0106504 | − | 0.0133552i | ||||
\(562\) | −468.547 | + | 587.540i | −0.0351681 | + | 0.0440994i | ||||
\(563\) | −2611.61 | + | 11442.2i | −0.195499 | + | 0.856538i | 0.778076 | + | 0.628171i | \(0.216196\pi\) |
−0.973575 | + | 0.228368i | \(0.926661\pi\) | |||||||
\(564\) | 1657.55 | − | 798.235i | 0.123751 | − | 0.0595953i | ||||
\(565\) | −15883.7 | −1.18271 | ||||||||
\(566\) | −663.627 | −0.0492832 | ||||||||
\(567\) | −9519.56 | + | 4584.38i | −0.705086 | + | 0.339552i | ||||
\(568\) | 56.6204 | + | 248.070i | 0.00418264 | + | 0.0183253i | ||||
\(569\) | −6375.94 | − | 3070.49i | −0.469760 | − | 0.226224i | 0.184000 | − | 0.982926i | \(-0.441095\pi\) |
−0.653760 | + | 0.756702i | \(0.726810\pi\) | |||||||
\(570\) | −56.6222 | − | 248.078i | −0.00416078 | − | 0.0182296i | ||||
\(571\) | −3816.33 | − | 4785.52i | −0.279699 | − | 0.350732i | 0.622061 | − | 0.782969i | \(-0.286296\pi\) |
−0.901760 | + | 0.432237i | \(0.857724\pi\) | |||||||
\(572\) | 11551.2 | − | 5562.78i | 0.844372 | − | 0.406628i | ||||
\(573\) | −3951.33 | − | 4954.82i | −0.288079 | − | 0.361240i | ||||
\(574\) | 126.002 | − | 552.049i | 0.00916237 | − | 0.0401430i | ||||
\(575\) | −6259.07 | − | 3014.21i | −0.453950 | − | 0.218611i | ||||
\(576\) | −10712.7 | − | 5158.95i | −0.774933 | − | 0.373188i | ||||
\(577\) | 6412.80 | − | 8041.40i | 0.462684 | − | 0.580187i | −0.494679 | − | 0.869076i | \(-0.664714\pi\) |
0.957363 | + | 0.288889i | \(0.0932858\pi\) | |||||||
\(578\) | 365.177 | − | 1599.95i | 0.0262792 | − | 0.115137i | ||||
\(579\) | −1192.73 | − | 5225.70i | −0.0856101 | − | 0.375082i | ||||
\(580\) | −9791.45 | + | 12278.1i | −0.700979 | + | 0.879000i | ||||
\(581\) | 4677.08 | − | 5864.88i | 0.333973 | − | 0.418789i | ||||
\(582\) | −36.0452 | − | 157.924i | −0.00256722 | − | 0.0112477i | ||||
\(583\) | −3915.30 | + | 17154.0i | −0.278139 | + | 1.21861i | ||||
\(584\) | 2536.08 | − | 3180.15i | 0.179698 | − | 0.225335i | ||||
\(585\) | −7693.79 | − | 3705.13i | −0.543759 | − | 0.261861i | ||||
\(586\) | −1059.07 | − | 510.023i | −0.0746586 | − | 0.0359537i | ||||
\(587\) | −3726.76 | + | 16328.0i | −0.262044 | + | 1.14809i | 0.656986 | + | 0.753903i | \(0.271831\pi\) |
−0.919030 | + | 0.394188i | \(0.871026\pi\) | |||||||
\(588\) | −186.834 | − | 234.283i | −0.0131036 | − | 0.0164314i | ||||
\(589\) | −14683.6 | + | 7071.23i | −1.02721 | + | 0.494677i | ||||
\(590\) | −317.274 | − | 397.849i | −0.0221389 | − | 0.0277613i | ||||
\(591\) | 1191.59 | + | 5220.69i | 0.0829364 | + | 0.363368i | ||||
\(592\) | −4631.24 | − | 2230.29i | −0.321525 | − | 0.154838i | ||||
\(593\) | 4839.68 | + | 21204.0i | 0.335146 | + | 1.46837i | 0.809021 | + | 0.587780i | \(0.199998\pi\) |
−0.473874 | + | 0.880592i | \(0.657145\pi\) | |||||||
\(594\) | −894.884 | + | 430.953i | −0.0618140 | + | 0.0297681i | ||||
\(595\) | −645.410 | −0.0444693 | ||||||||
\(596\) | −5636.93 | −0.387412 | ||||||||
\(597\) | 4742.88 | − | 2284.05i | 0.325148 | − | 0.156583i | ||||
\(598\) | 454.017 | − | 1989.18i | 0.0310470 | − | 0.136026i | ||||
\(599\) | −558.707 | + | 700.597i | −0.0381105 | + | 0.0477890i | −0.800521 | − | 0.599304i | \(-0.795444\pi\) |
0.762411 | + | 0.647093i | \(0.224015\pi\) | |||||||
\(600\) | −181.353 | − | 227.410i | −0.0123395 | − | 0.0154733i | ||||
\(601\) | 1801.42 | 0.122266 | 0.0611328 | − | 0.998130i | \(-0.480529\pi\) | ||||
0.0611328 | + | 0.998130i | \(0.480529\pi\) | |||||||
\(602\) | 688.135 | + | 1525.32i | 0.0465885 | + | 0.103268i | ||||
\(603\) | 16503.0 | 1.11452 | ||||||||
\(604\) | −7778.65 | − | 9754.12i | −0.524021 | − | 0.657102i | ||||
\(605\) | −3355.47 | + | 4207.62i | −0.225486 | + | 0.282751i | ||||
\(606\) | −38.4222 | + | 168.339i | −0.00257557 | + | 0.0112843i | ||||
\(607\) | −11029.4 | + | 5311.47i | −0.737510 | + | 0.355166i | −0.764633 | − | 0.644466i | \(-0.777080\pi\) |
0.0271228 | + | 0.999632i | \(0.491365\pi\) | |||||||
\(608\) | 4081.90 | 0.272274 | ||||||||
\(609\) | 5007.29 | 0.333178 | ||||||||
\(610\) | −2291.54 | + | 1103.55i | −0.152101 | + | 0.0732482i | ||||
\(611\) | 1489.58 | + | 6526.28i | 0.0986285 | + | 0.432120i | ||||
\(612\) | −721.480 | − | 347.446i | −0.0476537 | − | 0.0229488i | ||||
\(613\) | −407.373 | − | 1784.82i | −0.0268412 | − | 0.117599i | 0.959733 | − | 0.280915i | \(-0.0906380\pi\) |
−0.986574 | + | 0.163316i | \(0.947781\pi\) | |||||||
\(614\) | 1160.56 | + | 1455.29i | 0.0762805 | + | 0.0956527i | ||||
\(615\) | 1009.73 | − | 486.261i | 0.0662054 | − | 0.0318828i | ||||
\(616\) | −2577.75 | − | 3232.40i | −0.168605 | − | 0.211424i | ||||
\(617\) | −5467.08 | + | 23952.9i | −0.356720 | + | 1.56289i | 0.404585 | + | 0.914500i | \(0.367416\pi\) |
−0.761305 | + | 0.648394i | \(0.775441\pi\) | |||||||
\(618\) | 102.141 | + | 49.1883i | 0.00664837 | + | 0.00320169i | ||||
\(619\) | 12864.0 | + | 6194.97i | 0.835294 | + | 0.402256i | 0.802098 | − | 0.597192i | \(-0.203717\pi\) |
0.0331961 | + | 0.999449i | \(0.489431\pi\) | |||||||
\(620\) | 11275.4 | − | 14138.9i | 0.730371 | − | 0.915856i | ||||
\(621\) | 2470.27 | − | 10823.0i | 0.159627 | − | 0.699372i | ||||
\(622\) | −343.155 | − | 1503.46i | −0.0221210 | − | 0.0969186i | ||||
\(623\) | 13580.1 | − | 17028.9i | 0.873313 | − | 1.09510i | ||||
\(624\) | −1830.34 | + | 2295.17i | −0.117424 | + | 0.147244i | ||||
\(625\) | 1902.29 | + | 8334.49i | 0.121747 | + | 0.533407i | ||||
\(626\) | −730.269 | + | 3199.52i | −0.0466253 | + | 0.204279i | ||||
\(627\) | −2282.66 | + | 2862.37i | −0.145392 | + | 0.182316i | ||||
\(628\) | −1582.91 | − | 762.291i | −0.100581 | − | 0.0484374i | ||||
\(629\) | −302.700 | − | 145.773i | −0.0191883 | − | 0.00924060i | ||||
\(630\) | −304.218 | + | 1332.86i | −0.0192386 | + | 0.0842898i | ||||
\(631\) | −16377.3 | − | 20536.5i | −1.03324 | − | 1.29564i | −0.954330 | − | 0.298755i | \(-0.903429\pi\) |
−0.0789063 | − | 0.996882i | \(-0.525143\pi\) | |||||||
\(632\) | 1899.54 | − | 914.772i | 0.119557 | − | 0.0575754i | ||||
\(633\) | −4447.39 | − | 5576.85i | −0.279254 | − | 0.350173i | ||||
\(634\) | −695.346 | − | 3046.51i | −0.0435579 | − | 0.190840i | ||||
\(635\) | −14557.6 | − | 7010.58i | −0.909766 | − | 0.438120i | ||||
\(636\) | −909.634 | − | 3985.37i | −0.0567128 | − | 0.248475i | ||||
\(637\) | 982.366 | − | 473.083i | 0.0611032 | − | 0.0294258i | ||||
\(638\) | −3217.22 | −0.199641 | ||||||||
\(639\) | −1210.60 | −0.0749461 | ||||||||
\(640\) | −5427.81 | + | 2613.90i | −0.335239 | + | 0.161443i | ||||
\(641\) | 3823.34 | − | 16751.1i | 0.235589 | − | 1.03218i | −0.709329 | − | 0.704878i | \(-0.751002\pi\) |
0.944918 | − | 0.327307i | \(-0.106141\pi\) | |||||||
\(642\) | −176.292 | + | 221.063i | −0.0108375 | + | 0.0135898i | ||||
\(643\) | 9562.74 | + | 11991.3i | 0.586497 | + | 0.735444i | 0.983206 | − | 0.182500i | \(-0.0584190\pi\) |
−0.396708 | + | 0.917945i | \(0.629848\pi\) | |||||||
\(644\) | 22941.3 | 1.40375 | ||||||||
\(645\) | −1511.12 | + | 2947.09i | −0.0922486 | + | 0.179910i | ||||
\(646\) | 86.8232 | 0.00528795 | ||||||||
\(647\) | −15220.2 | − | 19085.6i | −0.924836 | − | 1.15971i | −0.986851 | − | 0.161633i | \(-0.948324\pi\) |
0.0620148 | − | 0.998075i | \(-0.480247\pi\) | |||||||
\(648\) | −1980.74 | + | 2483.77i | −0.120078 | + | 0.150573i | ||||
\(649\) | −1629.19 | + | 7137.95i | −0.0985383 | + | 0.431725i | ||||
\(650\) | 473.403 | − | 227.979i | 0.0285668 | − | 0.0137570i | ||||
\(651\) | −5766.16 | −0.347148 | ||||||||
\(652\) | −3810.99 | −0.228911 | ||||||||
\(653\) | −23045.7 | + | 11098.2i | −1.38108 | + | 0.665095i | −0.969230 | − | 0.246155i | \(-0.920833\pi\) |
−0.411854 | + | 0.911250i | \(0.635119\pi\) | |||||||
\(654\) | −51.1006 | − | 223.887i | −0.00305534 | − | 0.0133863i | ||||
\(655\) | 20694.7 | + | 9966.06i | 1.23452 | + | 0.594513i | ||||
\(656\) | 1301.88 | + | 5703.92i | 0.0774847 | + | 0.339483i | ||||
\(657\) | 12065.9 | + | 15130.2i | 0.716495 | + | 0.898457i | ||||
\(658\) | 965.576 | − | 464.997i | 0.0572068 | − | 0.0275493i | ||||
\(659\) | −2803.12 | − | 3515.00i | −0.165697 | − | 0.207777i | 0.692050 | − | 0.721849i | \(-0.256708\pi\) |
−0.857747 | + | 0.514072i | \(0.828136\pi\) | |||||||
\(660\) | 903.990 | − | 3960.64i | 0.0533148 | − | 0.233587i | ||||
\(661\) | 20346.8 | + | 9798.51i | 1.19728 | + | 0.576577i | 0.922898 | − | 0.385045i | \(-0.125814\pi\) |
0.274377 | + | 0.961622i | \(0.411528\pi\) | |||||||
\(662\) | −3224.45 | − | 1552.82i | −0.189308 | − | 0.0911660i | ||||
\(663\) | −119.632 | + | 150.014i | −0.00700772 | + | 0.00878741i | ||||
\(664\) | 501.889 | − | 2198.92i | 0.0293329 | − | 0.128516i | ||||
\(665\) | 2316.54 | + | 10149.4i | 0.135085 | + | 0.591846i | ||||
\(666\) | −443.721 | + | 556.408i | −0.0258166 | + | 0.0323730i | ||||
\(667\) | 22419.5 | − | 28113.2i | 1.30148 | − | 1.63201i | ||||
\(668\) | −6323.47 | − | 27704.9i | −0.366261 | − | 1.60470i | ||||
\(669\) | −1338.58 | + | 5864.72i | −0.0773583 | + | 0.338929i | ||||
\(670\) | 1237.92 | − | 1552.31i | 0.0713808 | − | 0.0895086i | ||||
\(671\) | 32970.4 | + | 15877.7i | 1.89688 | + | 0.913491i | ||||
\(672\) | 1301.18 | + | 626.615i | 0.0746936 | + | 0.0359705i | ||||
\(673\) | 6932.39 | − | 30372.8i | 0.397064 | − | 1.73965i | −0.241796 | − | 0.970327i | \(-0.577737\pi\) |
0.638860 | − | 0.769323i | \(-0.279406\pi\) | |||||||
\(674\) | 661.121 | + | 829.019i | 0.0377825 | + | 0.0473778i | ||||
\(675\) | 2575.75 | − | 1240.42i | 0.146875 | − | 0.0707313i | ||||
\(676\) | 4047.12 | + | 5074.93i | 0.230264 | + | 0.288742i | ||||
\(677\) | 88.4153 | + | 387.373i | 0.00501931 | + | 0.0219911i | 0.977376 | − | 0.211511i | \(-0.0678385\pi\) |
−0.972356 | + | 0.233502i | \(0.924981\pi\) | |||||||
\(678\) | 681.124 | + | 328.012i | 0.0385817 | + | 0.0185800i | ||||
\(679\) | 1474.69 | + | 6461.02i | 0.0833480 | + | 0.365171i | ||||
\(680\) | −174.838 | + | 84.1977i | −0.00985992 | + | 0.00474829i | ||||
\(681\) | 6976.23 | 0.392555 | ||||||||
\(682\) | 3704.80 | 0.208012 | ||||||||
\(683\) | −14148.9 | + | 6813.74i | −0.792668 | + | 0.381729i | −0.785982 | − | 0.618249i | \(-0.787842\pi\) |
−0.00668533 | + | 0.999978i | \(0.502128\pi\) | |||||||
\(684\) | −2874.21 | + | 12592.7i | −0.160670 | + | 0.703939i | ||||
\(685\) | −4792.13 | + | 6009.14i | −0.267296 | + | 0.335179i | ||||
\(686\) | −1377.98 | − | 1727.93i | −0.0766930 | − | 0.0961700i | ||||
\(687\) | 3476.33 | 0.193057 | ||||||||
\(688\) | −13243.9 | − | 11114.4i | −0.733894 | − | 0.615889i | ||||
\(689\) | 14874.1 | 0.822437 | ||||||||
\(690\) | −403.093 | − | 505.462i | −0.0222398 | − | 0.0278879i | ||||
\(691\) | −8881.44 | + | 11137.0i | −0.488952 | + | 0.613127i | −0.963697 | − | 0.266997i | \(-0.913969\pi\) |
0.474745 | + | 0.880123i | \(0.342540\pi\) | |||||||
\(692\) | 6508.97 | − | 28517.6i | 0.357563 | − | 1.56659i | ||||
\(693\) | 17722.3 | − | 8534.61i | 0.971449 | − | 0.467825i | ||||
\(694\) | 1332.27 | 0.0728707 | ||||||||
\(695\) | 2237.65 | 0.122128 | ||||||||
\(696\) | 1356.45 | − | 653.232i | 0.0738737 | − | 0.0355757i | ||||
\(697\) | 85.0917 | + | 372.811i | 0.00462421 | + | 0.0202600i | ||||
\(698\) | 1048.63 | + | 504.993i | 0.0568642 | + | 0.0273844i | ||||
\(699\) | −530.256 | − | 2323.20i | −0.0286926 | − | 0.125710i | ||||
\(700\) | 3683.56 | + | 4619.04i | 0.198893 | + | 0.249405i | ||||
\(701\) | −29518.0 | + | 14215.1i | −1.59041 | + | 0.765902i | −0.999176 | − | 0.0405960i | \(-0.987074\pi\) |
−0.591237 | + | 0.806498i | \(0.701360\pi\) | |||||||
\(702\) | 523.509 | + | 656.459i | 0.0281461 | + | 0.0352941i | ||||
\(703\) | −1205.89 | + | 5283.33i | −0.0646954 | + | 0.283449i | ||||
\(704\) | 18543.7 | + | 8930.17i | 0.992744 | + | 0.478080i | ||||
\(705\) | 1911.08 | + | 920.325i | 0.102093 | + | 0.0491652i | ||||
\(706\) | −2101.58 | + | 2635.30i | −0.112031 | + | 0.140483i | ||||
\(707\) | 1571.93 | − | 6887.10i | 0.0836191 | − | 0.366359i | ||||
\(708\) | −378.507 | − | 1658.35i | −0.0200920 | − | 0.0880290i | ||||
\(709\) | 15115.7 | − | 18954.4i | 0.800678 | − | 1.00402i | −0.199034 | − | 0.979993i | \(-0.563780\pi\) |
0.999711 | − | 0.0240254i | \(-0.00764824\pi\) | |||||||
\(710\) | −90.8095 | + | 113.871i | −0.00480003 | + | 0.00601904i | ||||
\(711\) | 2232.07 | + | 9779.35i | 0.117735 | + | 0.515829i | ||||
\(712\) | 1457.25 | − | 6384.64i | 0.0767034 | − | 0.336060i | ||||
\(713\) | −25817.3 | + | 32373.8i | −1.35605 | + | 1.70043i | ||||
\(714\) | 27.6765 | + | 13.3283i | 0.00145065 | + | 0.000698598i | ||||
\(715\) | 13318.0 | + | 6413.60i | 0.696594 | + | 0.335462i | ||||
\(716\) | −2937.39 | + | 12869.5i | −0.153318 | + | 0.671728i | ||||
\(717\) | 260.638 | + | 326.830i | 0.0135756 | + | 0.0170233i | ||||
\(718\) | −329.846 | + | 158.846i | −0.0171445 | + | 0.00825636i | ||||
\(719\) | −12715.5 | − | 15944.7i | −0.659536 | − | 0.827032i | 0.333756 | − | 0.942659i | \(-0.391684\pi\) |
−0.993293 | + | 0.115627i | \(0.963112\pi\) | |||||||
\(720\) | −3143.26 | − | 13771.5i | −0.162698 | − | 0.712826i | ||||
\(721\) | −4178.79 | − | 2012.40i | −0.215848 | − | 0.103947i | ||||
\(722\) | 199.863 | + | 875.658i | 0.0103021 | + | 0.0451366i | ||||
\(723\) | 4171.40 | − | 2008.84i | 0.214572 | − | 0.103333i | ||||
\(724\) | −28409.6 | −1.45833 | ||||||||
\(725\) | 9260.15 | 0.474363 | ||||||||
\(726\) | 230.780 | − | 111.138i | 0.0117976 | − | 0.00568142i | ||||
\(727\) | 20.1434 | − | 88.2540i | 0.00102762 | − | 0.00450228i | −0.974412 | − | 0.224771i | \(-0.927836\pi\) |
0.975439 | + | 0.220269i | \(0.0706936\pi\) | |||||||
\(728\) | −2179.11 | + | 2732.52i | −0.110939 | + | 0.139112i | ||||
\(729\) | −7954.20 | − | 9974.25i | −0.404115 | − | 0.506744i | ||||
\(730\) | 2328.27 | 0.118045 | ||||||||
\(731\) | −865.628 | − | 726.441i | −0.0437981 | − | 0.0367557i | ||||
\(732\) | −8501.91 | −0.429289 | ||||||||
\(733\) | −8595.53 | − | 10778.5i | −0.433129 | − | 0.543126i | 0.516589 | − | 0.856233i | \(-0.327201\pi\) |
−0.949718 | + | 0.313107i | \(0.898630\pi\) | |||||||
\(734\) | −1741.76 | + | 2184.10i | −0.0875879 | + | 0.109832i | ||||
\(735\) | 76.8793 | − | 336.830i | 0.00385814 | − | 0.0169036i | ||||
\(736\) | 9343.98 | − | 4499.82i | 0.467967 | − | 0.225361i | ||||
\(737\) | −28566.7 | −1.42777 | ||||||||
\(738\) | 810.016 | 0.0404026 | ||||||||
\(739\) | −279.559 | + | 134.628i | −0.0139157 | + | 0.00670147i | −0.440829 | − | 0.897591i | \(-0.645315\pi\) |
0.426913 | + | 0.904293i | \(0.359601\pi\) | |||||||
\(740\) | −1338.09 | − | 5862.57i | −0.0664720 | − | 0.291233i | ||||
\(741\) | 2788.43 | + | 1342.84i | 0.138240 | + | 0.0665728i | ||||
\(742\) | −529.890 | − | 2321.60i | −0.0262168 | − | 0.114863i | ||||
\(743\) | −3692.06 | − | 4629.70i | −0.182299 | − | 0.228596i | 0.682282 | − | 0.731089i | \(-0.260988\pi\) |
−0.864581 | + | 0.502493i | \(0.832416\pi\) | |||||||
\(744\) | −1562.02 | + | 752.230i | −0.0769711 | + | 0.0370673i | ||||
\(745\) | −4052.12 | − | 5081.20i | −0.199273 | − | 0.249880i | ||||
\(746\) | −272.055 | + | 1191.95i | −0.0133520 | + | 0.0584991i | ||||
\(747\) | 9668.18 | + | 4655.95i | 0.473548 | + | 0.228049i | ||||
\(748\) | 1248.88 | + | 601.431i | 0.0610478 | + | 0.0293991i | ||||
\(749\) | 7212.48 | − | 9044.16i | 0.351853 | − | 0.441210i | ||||
\(750\) | 146.536 | − | 642.017i | 0.00713433 | − | 0.0312575i | ||||
\(751\) | 2120.68 | + | 9291.29i | 0.103042 | + | 0.451457i | 0.999957 | + | 0.00925394i | \(0.00294566\pi\) |
−0.896915 | + | 0.442203i | \(0.854197\pi\) | |||||||
\(752\) | −6904.02 | + | 8657.36i | −0.334792 | + | 0.419816i | ||||
\(753\) | 388.230 | − | 486.825i | 0.0187887 | − | 0.0235603i | ||||
\(754\) | 605.187 | + | 2651.50i | 0.0292303 | + | 0.128066i | ||||
\(755\) | 3200.78 | − | 14023.5i | 0.154289 | − | 0.675985i | ||||
\(756\) | −5886.28 | + | 7381.16i | −0.283177 | + | 0.355093i | ||||
\(757\) | 933.848 | + | 449.718i | 0.0448366 | + | 0.0215922i | 0.456168 | − | 0.889894i | \(-0.349222\pi\) |
−0.411331 | + | 0.911486i | \(0.634936\pi\) | |||||||
\(758\) | 2718.77 | + | 1309.29i | 0.130277 | + | 0.0627383i | ||||
\(759\) | −2069.87 | + | 9068.70i | −0.0989875 | + | 0.433693i | ||||
\(760\) | 1951.59 | + | 2447.22i | 0.0931469 | + | 0.116803i | ||||
\(761\) | −21940.1 | + | 10565.8i | −1.04511 | + | 0.503297i | −0.876005 | − | 0.482301i | \(-0.839801\pi\) |
−0.169102 | + | 0.985599i | \(0.554087\pi\) | |||||||
\(762\) | 479.485 | + | 601.255i | 0.0227951 | + | 0.0285842i | ||||
\(763\) | 2090.64 | + | 9159.68i | 0.0991955 | + | 0.434604i | ||||
\(764\) | 34870.4 | + | 16792.7i | 1.65126 | + | 0.795207i | ||||
\(765\) | −205.445 | − | 900.114i | −0.00970965 | − | 0.0425408i | ||||
\(766\) | −1133.20 | + | 545.722i | −0.0534520 | + | 0.0257412i | ||||
\(767\) | 6189.27 | 0.291371 | ||||||||
\(768\) | −4563.12 | −0.214398 | ||||||||
\(769\) | −34946.5 | + | 16829.3i | −1.63876 | + | 0.789183i | −0.638954 | + | 0.769245i | \(0.720633\pi\) |
−0.999801 | + | 0.0199384i | \(0.993653\pi\) | |||||||
\(770\) | 526.602 | − | 2307.20i | 0.0246460 | − | 0.107981i | ||||
\(771\) | −4854.35 | + | 6087.16i | −0.226751 | + | 0.284337i | ||||
\(772\) | 20409.6 | + | 25592.8i | 0.951498 | + | 1.19314i | ||||
\(773\) | 240.472 | 0.0111891 | 0.00559456 | − | 0.999984i | \(-0.498219\pi\) | ||||
0.00559456 | + | 0.999984i | \(0.498219\pi\) | |||||||
\(774\) | −1908.22 | + | 1445.23i | −0.0886171 | + | 0.0671161i | ||||
\(775\) | −10663.5 | −0.494253 | ||||||||
\(776\) | 1242.36 | + | 1557.88i | 0.0574720 | + | 0.0720676i | ||||
\(777\) | −1195.45 | + | 1499.04i | −0.0551948 | + | 0.0692121i | ||||
\(778\) | −612.373 | + | 2682.98i | −0.0282193 | + | 0.123637i | ||||
\(779\) | 5557.23 | − | 2676.22i | 0.255595 | − | 0.123088i | ||||
\(780\) | −3434.24 | −0.157648 | ||||||||
\(781\) | 2095.55 | 0.0960112 | ||||||||
\(782\) | 198.749 | − | 95.7126i | 0.00908856 | − | 0.00437682i | ||||
\(783\) | 3292.77 | + | 14426.6i | 0.150286 | + | 0.658447i | ||||
\(784\) | 1625.00 | + | 782.557i | 0.0740250 | + | 0.0356486i | ||||
\(785\) | −450.743 | − | 1974.83i | −0.0204939 | − | 0.0897896i | ||||
\(786\) | −681.623 | − | 854.729i | −0.0309322 | − | 0.0387877i | ||||
\(787\) | −2290.55 | + | 1103.07i | −0.103748 | + | 0.0499622i | −0.485038 | − | 0.874493i | \(-0.661194\pi\) |
0.381290 | + | 0.924455i | \(0.375480\pi\) | |||||||
\(788\) | −20390.0 | − | 25568.3i | −0.921782 | − | 1.15588i | ||||
\(789\) | 381.348 | − | 1670.79i | 0.0172070 | − | 0.0753889i | ||||
\(790\) | 1087.30 | + | 523.615i | 0.0489675 | + | 0.0235815i | ||||
\(791\) | −27866.3 | − | 13419.7i | −1.25261 | − | 0.603223i | ||||
\(792\) | 3687.49 | − | 4623.96i | 0.165441 | − | 0.207456i | ||||
\(793\) | 6883.72 | − | 30159.6i | 0.308258 | − | 1.35056i | ||||
\(794\) | 783.645 | + | 3433.37i | 0.0350258 | + | 0.153458i | ||||
\(795\) | 2938.57 | − | 3684.85i | 0.131095 | − | 0.164387i | ||||
\(796\) | −20044.5 | + | 25135.0i | −0.892535 | + | 1.11920i | ||||
\(797\) | −7233.79 | − | 31693.3i | −0.321498 | − | 1.40858i | −0.834888 | − | 0.550420i | \(-0.814468\pi\) |
0.513390 | − | 0.858155i | \(-0.328389\pi\) | |||||||
\(798\) | 110.257 | − | 483.066i | 0.00489103 | − | 0.0214290i | ||||
\(799\) | −451.250 | + | 565.850i | −0.0199801 | + | 0.0250542i | ||||
\(800\) | 2406.31 | + | 1158.82i | 0.106345 | + | 0.0512131i | ||||
\(801\) | 28071.9 | + | 13518.7i | 1.23829 | + | 0.596330i | ||||
\(802\) | −174.732 | + | 765.549i | −0.00769325 | + | 0.0337063i | ||||
\(803\) | −20886.2 | − | 26190.5i | −0.917881 | − | 1.15099i | ||||
\(804\) | 5979.60 | − | 2879.62i | 0.262294 | − | 0.126314i | ||||
\(805\) | 16491.4 | + | 20679.6i | 0.722044 | + | 0.905415i | ||||
\(806\) | −696.905 | − | 3053.34i | −0.0304559 | − | 0.133436i | ||||
\(807\) | 4151.42 | + | 1999.22i | 0.181087 | + | 0.0872068i | ||||
\(808\) | −472.634 | − | 2070.75i | −0.0205782 | − | 0.0901592i | ||||
\(809\) | 35086.2 | − | 16896.6i | 1.52480 | − | 0.734306i | 0.531201 | − | 0.847246i | \(-0.321741\pi\) |
0.993602 | + | 0.112940i | \(0.0360267\pi\) | |||||||
\(810\) | −1818.43 | −0.0788806 | ||||||||
\(811\) | −14126.6 | −0.611654 | −0.305827 | − | 0.952087i | \(-0.598933\pi\) | ||||
−0.305827 | + | 0.952087i | \(0.598933\pi\) | |||||||
\(812\) | −27551.5 | + | 13268.1i | −1.19072 | + | 0.573423i | ||||
\(813\) | −1742.43 | + | 7634.10i | −0.0751658 | + | 0.329323i | ||||
\(814\) | 768.083 | − | 963.146i | 0.0330728 | − | 0.0414720i | ||||
\(815\) | −2739.54 | − | 3435.27i | −0.117745 | − | 0.147647i | ||||
\(816\) | −317.393 | −0.0136164 | ||||||||
\(817\) | −8316.71 | + | 16219.8i | −0.356138 | + | 0.694565i | ||||
\(818\) | −2692.60 | −0.115091 | ||||||||
\(819\) | −10367.6 | − | 13000.5i | −0.442335 | − | 0.554671i | ||||
\(820\) | −4267.35 | + | 5351.09i | −0.181735 | + | 0.227888i | ||||
\(821\) | 6244.78 | − | 27360.2i | 0.265462 | − | 1.16307i | −0.649767 | − | 0.760133i | \(-0.725134\pi\) |
0.915230 | − | 0.402933i | \(-0.132009\pi\) | |||||||
\(822\) | 329.590 | − | 158.722i | 0.0139851 | − | 0.00673488i | ||||
\(823\) | 631.388 | 0.0267422 | 0.0133711 | − | 0.999911i | \(-0.495744\pi\) | ||||
0.0133711 | + | 0.999911i | \(0.495744\pi\) | |||||||
\(824\) | −1394.54 | −0.0589578 | ||||||||
\(825\) | −2158.25 | + | 1039.36i | −0.0910797 | + | 0.0438617i | ||||
\(826\) | −220.492 | − | 966.039i | −0.00928802 | − | 0.0406935i | ||||
\(827\) | 18816.5 | + | 9061.57i | 0.791191 | + | 0.381018i | 0.785418 | − | 0.618966i | \(-0.212448\pi\) |
0.00577338 | + | 0.999983i | \(0.498162\pi\) | |||||||
\(828\) | 7302.60 | + | 31994.8i | 0.306501 | + | 1.34287i | ||||
\(829\) | 5604.76 | + | 7028.14i | 0.234815 | + | 0.294448i | 0.885252 | − | 0.465112i | \(-0.153986\pi\) |
−0.650437 | + | 0.759560i | \(0.725414\pi\) | |||||||
\(830\) | 1163.18 | − | 560.157i | 0.0486440 | − | 0.0234257i | ||||
\(831\) | −1958.63 | − | 2456.04i | −0.0817617 | − | 0.102526i | ||||
\(832\) | 3871.64 | − | 16962.8i | 0.161328 | − | 0.706825i | ||||
\(833\) | 106.211 | + | 51.1483i | 0.00441774 | + | 0.00212747i | ||||
\(834\) | −95.9550 | − | 46.2095i | −0.00398399 | − | 0.00191859i | ||||
\(835\) | 20427.9 | − | 25615.8i | 0.846632 | − | 1.06164i | ||||
\(836\) | 4975.26 | − | 21798.1i | 0.205829 | − | 0.901796i | ||||
\(837\) | −3791.80 | − | 16613.0i | −0.156588 | − | 0.686055i | ||||
\(838\) | −104.632 | + | 131.204i | −0.00431317 | + | 0.00540855i | ||||
\(839\) | −633.930 | + | 794.922i | −0.0260854 | + | 0.0327101i | −0.794703 | − | 0.606998i | \(-0.792373\pi\) |
0.768618 | + | 0.639708i | \(0.220945\pi\) | |||||||
\(840\) | 246.431 | + | 1079.69i | 0.0101222 | + | 0.0443484i | ||||
\(841\) | −5238.55 | + | 22951.6i | −0.214792 | + | 0.941064i | ||||
\(842\) | 1942.19 | − | 2435.43i | 0.0794921 | − | 0.0996799i | ||||
\(843\) | −2609.41 | − | 1256.63i | −0.106611 | − | 0.0513411i | ||||
\(844\) | 39248.0 | + | 18900.9i | 1.60068 | + | 0.770847i | ||||
\(845\) | −1665.32 | + | 7296.26i | −0.0677975 | + | 0.297040i | ||||
\(846\) | 955.861 | + | 1198.61i | 0.0388454 | + | 0.0487105i | ||||
\(847\) | −9441.72 | + | 4546.89i | −0.383024 | + | 0.184455i | ||||
\(848\) | 15340.5 | + | 19236.4i | 0.621221 | + | 0.778987i | ||||
\(849\) | −569.120 | − | 2493.48i | −0.0230061 | − | 0.100796i | ||||
\(850\) | 51.1830 | + | 24.6484i | 0.00206537 | + | 0.000994629i | ||||
\(851\) | 3063.84 | + | 13423.6i | 0.123416 | + | 0.540721i | ||||
\(852\) | −438.642 | + | 211.239i | −0.0176381 | + | 0.00849404i | ||||
\(853\) | 12089.1 | 0.485256 | 0.242628 | − | 0.970119i | \(-0.421991\pi\) | ||||
0.242628 | + | 0.970119i | \(0.421991\pi\) | |||||||
\(854\) | −4952.63 | −0.198449 | ||||||||
\(855\) | −13417.4 | + | 6461.46i | −0.536683 | + | 0.258453i | ||||
\(856\) | 773.957 | − | 3390.93i | 0.0309034 | − | 0.135397i | ||||
\(857\) | 25751.1 | − | 32290.9i | 1.02642 | − | 1.28709i | 0.0692377 | − | 0.997600i | \(-0.477943\pi\) |
0.957181 | − | 0.289489i | \(-0.0934853\pi\) | |||||||
\(858\) | −438.655 | − | 550.056i | −0.0174539 | − | 0.0218865i | ||||
\(859\) | −4731.49 | −0.187935 | −0.0939676 | − | 0.995575i | \(-0.529955\pi\) | ||||
−0.0939676 | + | 0.995575i | \(0.529955\pi\) | |||||||
\(860\) | 505.524 | − | 20219.8i | 0.0200444 | − | 0.801733i | ||||
\(861\) | 2182.30 | 0.0863792 | ||||||||
\(862\) | −469.423 | − | 588.637i | −0.0185483 | − | 0.0232588i | ||||
\(863\) | 5275.66 | − | 6615.47i | 0.208095 | − | 0.260942i | −0.666821 | − | 0.745218i | \(-0.732345\pi\) |
0.874915 | + | 0.484276i | \(0.160917\pi\) | |||||||
\(864\) | −949.700 | + | 4160.91i | −0.0373952 | + | 0.163839i | ||||
\(865\) | 30385.2 | − | 14632.7i | 1.19437 | − | 0.575176i | ||||
\(866\) | −289.172 | −0.0113470 | ||||||||
\(867\) | 6324.73 | 0.247750 | ||||||||
\(868\) | 31727.0 | − | 15278.9i | 1.24065 | − | 0.597466i | ||||
\(869\) | −3863.73 | − | 16928.1i | −0.150826 | − | 0.660813i | ||||
\(870\) | 776.432 | + | 373.910i | 0.0302569 | + | 0.0145710i | ||||
\(871\) | 5373.65 | + | 23543.5i | 0.209046 | + | 0.915891i | ||||
\(872\) | 1761.28 | + | 2208.57i | 0.0683996 | + | 0.0857704i | ||||
\(873\) | −8541.37 | + | 4113.31i | −0.331136 | + | 0.159467i | ||||
\(874\) | −2218.49 | − | 2781.90i | −0.0858599 | − | 0.107665i | ||||
\(875\) | −5995.12 | + | 26266.3i | −0.231625 | + | 1.01482i | ||||
\(876\) | 7012.00 | + | 3376.80i | 0.270449 | + | 0.130242i | ||||
\(877\) | 12326.1 | + | 5935.94i | 0.474598 | + | 0.228554i | 0.655863 | − | 0.754880i | \(-0.272305\pi\) |
−0.181265 | + | 0.983434i | \(0.558019\pi\) | |||||||
\(878\) | 777.903 | − | 975.460i | 0.0299009 | − | 0.0374945i | ||||
\(879\) | 1008.08 | − | 4416.70i | 0.0386824 | − | 0.169479i | ||||
\(880\) | 5441.00 | + | 23838.6i | 0.208427 | + | 0.913180i | ||||
\(881\) | −3346.28 | + | 4196.10i | −0.127967 | + | 0.160466i | −0.841687 | − | 0.539965i | \(-0.818437\pi\) |
0.713720 | + | 0.700431i | \(0.247009\pi\) | |||||||
\(882\) | 155.692 | − | 195.231i | 0.00594377 | − | 0.00745325i | ||||
\(883\) | 3540.01 | + | 15509.8i | 0.134916 | + | 0.591106i | 0.996507 | + | 0.0835036i | \(0.0266110\pi\) |
−0.861591 | + | 0.507602i | \(0.830532\pi\) | |||||||
\(884\) | 260.748 | − | 1142.41i | 0.00992072 | − | 0.0434655i | ||||
\(885\) | 1222.77 | − | 1533.30i | 0.0464439 | − | 0.0582387i | ||||
\(886\) | 1207.35 | + | 581.429i | 0.0457807 | + | 0.0220468i | ||||
\(887\) | −5011.25 | − | 2413.29i | −0.189697 | − | 0.0913533i | 0.336624 | − | 0.941639i | \(-0.390715\pi\) |
−0.526321 | + | 0.850286i | \(0.676429\pi\) | |||||||
\(888\) | −128.281 | + | 562.036i | −0.00484778 | + | 0.0212395i | ||||
\(889\) | −19616.8 | − | 24598.6i | −0.740073 | − | 0.928022i | ||||
\(890\) | 3377.33 | − | 1626.44i | 0.127200 | − | 0.0612564i | ||||
\(891\) | 16312.6 | + | 20455.4i | 0.613348 | + | 0.769114i | ||||
\(892\) | −8174.83 | − | 35816.3i | −0.306854 | − | 1.34441i | ||||
\(893\) | 10517.9 | + | 5065.17i | 0.394142 | + | 0.189809i | ||||
\(894\) | 68.8318 | + | 301.572i | 0.00257503 | + | 0.0112820i | ||||
\(895\) | −13712.3 | + | 6603.50i | −0.512125 | + | 0.246627i | ||||
\(896\) | −11730.9 | −0.437392 | ||||||||
\(897\) | 7863.40 | 0.292699 | ||||||||
\(898\) | −3676.97 | + | 1770.74i | −0.136639 | + | 0.0658021i | ||||
\(899\) | 12282.0 | − | 53811.0i | 0.455649 | − | 1.99633i | ||||
\(900\) | −5269.34 | + | 6607.55i | −0.195161 | + | 0.244724i | ||||
\(901\) | 1002.66 | + | 1257.30i | 0.0370739 | + | 0.0464892i | ||||
\(902\) | −1402.14 | −0.0517586 | ||||||||
\(903\) | −5141.02 | + | 3893.66i | −0.189460 | + | 0.143492i | ||||
\(904\) | −9299.51 | −0.342143 | ||||||||
\(905\) | −20422.3 | − | 25608.8i | −0.750122 | − | 0.940624i | ||||
\(906\) | −426.854 | + | 535.258i | −0.0156526 | + | 0.0196278i | ||||
\(907\) | 8502.78 | − | 37253.1i | 0.311279 | − | 1.36380i | −0.541135 | − | 0.840936i | \(-0.682005\pi\) |
0.852414 | − | 0.522868i | \(-0.175138\pi\) | |||||||
\(908\) | −38385.2 | + | 18485.3i | −1.40293 | + | 0.675613i | ||||
\(909\) | 10105.4 | 0.368728 | ||||||||
\(910\) | −2000.55 | −0.0728765 | ||||||||
\(911\) | −42975.8 | + | 20696.0i | −1.56295 | + | 0.752679i | −0.997402 | − | 0.0720348i | \(-0.977051\pi\) |
−0.565551 | + | 0.824713i | \(0.691336\pi\) | |||||||
\(912\) | 1139.20 | + | 4991.17i | 0.0413626 | + | 0.181222i | ||||
\(913\) | −16735.7 | − | 8059.47i | −0.606648 | − | 0.292146i | ||||
\(914\) | −766.712 | − | 3359.18i | −0.0277468 | − | 0.121567i | ||||
\(915\) | −6111.62 | − | 7663.73i | −0.220813 | − | 0.276891i | ||||
\(916\) | −19127.7 | + | 9211.44i | −0.689955 | + | 0.332265i | ||||
\(917\) | 27886.7 | + | 34968.8i | 1.00425 | + | 1.25929i | ||||
\(918\) | −20.2004 | + | 88.5037i | −0.000726266 | + | 0.00318198i | ||||
\(919\) | −1853.78 | − | 892.736i | −0.0665405 | − | 0.0320442i | 0.400318 | − | 0.916376i | \(-0.368900\pi\) |
−0.466858 | + | 0.884332i | \(0.654614\pi\) | |||||||
\(920\) | 7165.21 | + | 3450.58i | 0.256772 | + | 0.123655i | ||||
\(921\) | −4472.75 | + | 5608.66i | −0.160024 | + | 0.200664i | ||||
\(922\) | −572.257 | + | 2507.22i | −0.0204407 | + | 0.0895564i | ||||
\(923\) | −394.191 | − | 1727.07i | −0.0140574 | − | 0.0615894i | ||||
\(924\) | 4932.19 | − | 6184.77i | 0.175603 | − | 0.220199i | ||||
\(925\) | −2210.78 | + | 2772.23i | −0.0785837 | + | 0.0985408i | ||||
\(926\) | 197.921 | + | 867.150i | 0.00702386 | + | 0.0307736i | ||||
\(927\) | 1476.39 | − | 6468.48i | 0.0523096 | − | 0.229183i | ||||
\(928\) | −8619.24 | + | 10808.2i | −0.304893 | + | 0.382323i | ||||
\(929\) | −2476.83 | − | 1192.78i | −0.0874728 | − | 0.0421247i | 0.389636 | − | 0.920969i | \(-0.372601\pi\) |
−0.477109 | + | 0.878844i | \(0.658315\pi\) | |||||||
\(930\) | −894.102 | − | 430.577i | −0.0315255 | − | 0.0151819i | ||||
\(931\) | 423.118 | − | 1853.80i | 0.0148949 | − | 0.0652587i | ||||
\(932\) | 9073.53 | + | 11377.8i | 0.318898 | + | 0.399886i | ||||
\(933\) | 5354.75 | − | 2578.71i | 0.187896 | − | 0.0904857i | ||||
\(934\) | −1251.64 | − | 1569.51i | −0.0438491 | − | 0.0549850i | ||||
\(935\) | 355.626 | + | 1558.10i | 0.0124387 | + | 0.0544977i | ||||
\(936\) | −4504.52 | − | 2169.26i | −0.157302 | − | 0.0757528i | ||||
\(937\) | −1833.11 | − | 8031.38i | −0.0639116 | − | 0.280015i | 0.932867 | − | 0.360222i | \(-0.117299\pi\) |
−0.996778 | + | 0.0802070i | \(0.974442\pi\) | |||||||
\(938\) | 3483.30 | − | 1677.47i | 0.121251 | − | 0.0583916i | ||||
\(939\) | −12648.0 | −0.439564 | ||||||||
\(940\) | −12953.9 | −0.449478 | ||||||||
\(941\) | 20115.7 | − | 9687.21i | 0.696869 | − | 0.335594i | −0.0516898 | − | 0.998663i | \(-0.516461\pi\) |
0.748558 | + | 0.663069i | \(0.230746\pi\) | |||||||
\(942\) | −21.4533 | + | 93.9930i | −0.000742023 | + | 0.00325101i | ||||
\(943\) | 9770.97 | − | 12252.4i | 0.337420 | − | 0.423111i | ||||
\(944\) | 6383.33 | + | 8004.45i | 0.220085 | + | 0.275977i | ||||
\(945\) | −10884.8 | −0.374692 | ||||||||
\(946\) | 3303.14 | − | 2501.71i | 0.113525 | − | 0.0859804i | ||||
\(947\) | −41921.8 | −1.43852 | −0.719258 | − | 0.694743i | \(-0.755518\pi\) | ||||
−0.719258 | + | 0.694743i | \(0.755518\pi\) | |||||||
\(948\) | 2515.17 | + | 3153.92i | 0.0861697 | + | 0.108053i | ||||
\(949\) | −17656.2 | + | 22140.2i | −0.603946 | + | 0.757325i | ||||
\(950\) | 203.901 | − | 893.349i | 0.00696360 | − | 0.0305095i | ||||
\(951\) | 10850.5 | − | 5225.32i | 0.369980 | − | 0.178173i | ||||
\(952\) | −377.872 | −0.0128644 | ||||||||
\(953\) | 32671.5 | 1.11053 | 0.555264 | − | 0.831674i | \(-0.312617\pi\) | ||||
0.555264 | + | 0.831674i | \(0.312617\pi\) | |||||||
\(954\) | 3069.12 | − | 1478.01i | 0.104158 | − | 0.0501596i | ||||
\(955\) | 9929.52 | + | 43504.1i | 0.336452 | + | 1.47409i | ||||
\(956\) | −2300.13 | − | 1107.68i | −0.0778152 | − | 0.0374738i | ||||
\(957\) | −2759.06 | − | 12088.2i | −0.0931951 | − | 0.408314i | ||||
\(958\) | 1999.33 | + | 2507.08i | 0.0674273 | + | 0.0845512i | ||||
\(959\) | −13484.2 | + | 6493.67i | −0.454045 | + | 0.218656i | ||||
\(960\) | −3437.39 | − | 4310.34i | −0.115564 | − | 0.144912i | ||||
\(961\) | −7514.27 | + | 32922.2i | −0.252233 | + | 1.10510i | ||||
\(962\) | −938.267 | − | 451.846i | −0.0314459 | − | 0.0151435i | ||||
\(963\) | 14909.2 | + | 7179.88i | 0.498901 | + | 0.240258i | ||||
\(964\) | −17629.2 | + | 22106.4i | −0.589004 | + | 0.738587i | ||||
\(965\) | −8398.19 | + | 36794.9i | −0.280153 | + | 1.22743i | ||||
\(966\) | −280.133 | − | 1227.34i | −0.00933036 | − | 0.0408790i | ||||
\(967\) | 29763.4 | − | 37322.1i | 0.989788 | − | 1.24115i | 0.0193478 | − | 0.999813i | \(-0.493841\pi\) |
0.970440 | − | 0.241342i | \(-0.0775876\pi\) | |||||||
\(968\) | −1964.54 | + | 2463.46i | −0.0652301 | + | 0.0817960i | ||||
\(969\) | 74.4588 | + | 326.225i | 0.00246848 | + | 0.0108151i | ||||
\(970\) | −253.799 | + | 1111.97i | −0.00840103 | + | 0.0368073i | ||||
\(971\) | −9589.71 | + | 12025.1i | −0.316940 | + | 0.397430i | −0.914627 | − | 0.404300i | \(-0.867515\pi\) |
0.597687 | + | 0.801730i | \(0.296087\pi\) | |||||||
\(972\) | −18445.5 | − | 8882.91i | −0.608684 | − | 0.293127i | ||||
\(973\) | 3925.73 | + | 1890.53i | 0.129345 | + | 0.0622894i | ||||
\(974\) | −646.656 | + | 2833.19i | −0.0212733 | + | 0.0932045i | ||||
\(975\) | 1262.58 | + | 1583.23i | 0.0414718 | + | 0.0520040i | ||||
\(976\) | 46104.3 | − | 22202.7i | 1.51205 | − | 0.728166i | ||||
\(977\) | 13028.7 | + | 16337.5i | 0.426638 | + | 0.534987i | 0.947967 | − | 0.318369i | \(-0.103135\pi\) |
−0.521329 | + | 0.853356i | \(0.674564\pi\) | |||||||
\(978\) | 46.5355 | + | 203.885i | 0.00152151 | + | 0.00666619i | ||||
\(979\) | −48592.6 | − | 23400.9i | −1.58634 | − | 0.763940i | ||||
\(980\) | 469.507 | + | 2057.04i | 0.0153039 | + | 0.0670508i | ||||
\(981\) | −12109.0 | + | 5831.37i | −0.394097 | + | 0.189787i | ||||
\(982\) | 3244.58 | 0.105437 | ||||||||
\(983\) | −29285.6 | −0.950220 | −0.475110 | − | 0.879926i | \(-0.657592\pi\) | ||||
−0.475110 | + | 0.879926i | \(0.657592\pi\) | |||||||
\(984\) | 591.173 | − | 284.694i | 0.0191523 | − | 0.00922329i | ||||
\(985\) | 8390.15 | − | 36759.6i | 0.271403 | − | 1.18910i | ||||
\(986\) | −183.334 | + | 229.893i | −0.00592144 | + | 0.00742525i | ||||
\(987\) | 2575.22 | + | 3229.23i | 0.0830499 | + | 0.104141i | ||||
\(988\) | −18900.9 | −0.608622 | ||||||||
\(989\) | −1157.50 | + | 46297.4i | −0.0372157 | + | 1.48855i | ||||
\(990\) | 3385.33 | 0.108680 | ||||||||
\(991\) | 4188.20 | + | 5251.84i | 0.134251 | + | 0.168345i | 0.844413 | − | 0.535693i | \(-0.179950\pi\) |
−0.710162 | + | 0.704039i | \(0.751378\pi\) | |||||||
\(992\) | 9925.51 | − | 12446.2i | 0.317677 | − | 0.398354i | ||||
\(993\) | 3069.21 | − | 13447.1i | 0.0980850 | − | 0.429738i | ||||
\(994\) | −255.523 | + | 123.053i | −0.00815360 | + | 0.00392657i | ||||
\(995\) | −37066.0 | −1.18098 | ||||||||
\(996\) | 4315.54 | 0.137292 | ||||||||
\(997\) | −47389.3 | + | 22821.5i | −1.50535 | + | 0.724939i | −0.991152 | − | 0.132732i | \(-0.957625\pi\) |
−0.514199 | + | 0.857671i | \(0.671911\pi\) | |||||||
\(998\) | −99.1263 | − | 434.301i | −0.00314408 | − | 0.0137751i | ||||
\(999\) | −5105.03 | − | 2458.45i | −0.161678 | − | 0.0778599i |
(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 | 43.4.e.a.11.6 | yes | 60 | |
43.2 | odd | 14 | 1849.4.a.g.1.15 | 30 | |||
43.4 | even | 7 | inner | 43.4.e.a.4.6 | ✓ | 60 | |
43.41 | even | 7 | 1849.4.a.h.1.16 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.4.e.a.4.6 | ✓ | 60 | 43.4 | even | 7 | inner | |
43.4.e.a.11.6 | yes | 60 | 1.1 | even | 1 | trivial | |
1849.4.a.g.1.15 | 30 | 43.2 | odd | 14 | |||
1849.4.a.h.1.16 | 30 | 43.41 | even | 7 |