Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,3,Mod(7,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.j (of order \(18\), 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: | \(2.94278685509\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 31.23 | ||
Character | \(\chi\) | \(=\) | 108.31 |
Dual form | 108.3.j.a.7.23 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.747520 | − | 1.85505i | 0.373760 | − | 0.927525i | ||||
\(3\) | −2.41946 | + | 1.77376i | −0.806485 | + | 0.591254i | ||||
\(4\) | −2.88243 | − | 2.77337i | −0.720607 | − | 0.693344i | ||||
\(5\) | 0.463207 | − | 2.62698i | 0.0926415 | − | 0.525396i | −0.902803 | − | 0.430054i | \(-0.858494\pi\) |
0.995445 | − | 0.0953418i | \(-0.0303944\pi\) | |||||||
\(6\) | 1.48183 | + | 5.81414i | 0.246972 | + | 0.969023i | ||||
\(7\) | −4.34885 | − | 5.18275i | −0.621264 | − | 0.740393i | 0.360023 | − | 0.932943i | \(-0.382769\pi\) |
−0.981287 | + | 0.192550i | \(0.938324\pi\) | |||||||
\(8\) | −7.29942 | + | 3.27390i | −0.912428 | + | 0.409237i | ||||
\(9\) | 2.70753 | − | 8.58308i | 0.300837 | − | 0.953676i | ||||
\(10\) | −4.52692 | − | 2.82299i | −0.452692 | − | 0.282299i | ||||
\(11\) | −18.5390 | + | 3.26893i | −1.68537 | + | 0.297176i | −0.932547 | − | 0.361049i | \(-0.882419\pi\) |
−0.752821 | + | 0.658225i | \(0.771307\pi\) | |||||||
\(12\) | 11.8932 | + | 1.59731i | 0.991101 | + | 0.133109i | ||||
\(13\) | −4.76031 | + | 1.73261i | −0.366177 | + | 0.133278i | −0.518554 | − | 0.855045i | \(-0.673530\pi\) |
0.152377 | + | 0.988322i | \(0.451307\pi\) | |||||||
\(14\) | −12.8651 | + | 4.19312i | −0.918937 | + | 0.299509i | ||||
\(15\) | 3.53893 | + | 7.17748i | 0.235929 | + | 0.478499i | ||||
\(16\) | 0.616783 | + | 15.9881i | 0.0385490 | + | 0.999257i | ||||
\(17\) | 7.37511 | − | 12.7741i | 0.433830 | − | 0.751416i | −0.563369 | − | 0.826205i | \(-0.690495\pi\) |
0.997199 | + | 0.0747894i | \(0.0238284\pi\) | |||||||
\(18\) | −13.8981 | − | 11.4386i | −0.772118 | − | 0.635479i | ||||
\(19\) | 28.7994 | − | 16.6273i | 1.51576 | − | 0.875123i | 0.515928 | − | 0.856632i | \(-0.327447\pi\) |
0.999829 | − | 0.0184912i | \(-0.00588628\pi\) | |||||||
\(20\) | −8.62076 | + | 6.28743i | −0.431038 | + | 0.314372i | ||||
\(21\) | 19.7148 | + | 4.82562i | 0.938801 | + | 0.229791i | ||||
\(22\) | −7.79427 | + | 36.8345i | −0.354285 | + | 1.67429i | ||||
\(23\) | 11.3558 | − | 13.5334i | 0.493732 | − | 0.588407i | −0.460430 | − | 0.887696i | \(-0.652305\pi\) |
0.954163 | + | 0.299289i | \(0.0967493\pi\) | |||||||
\(24\) | 11.8535 | − | 20.8685i | 0.493896 | − | 0.869521i | ||||
\(25\) | 16.8059 | + | 6.11683i | 0.672234 | + | 0.244673i | ||||
\(26\) | −0.344344 | + | 10.1258i | −0.0132440 | + | 0.389453i | ||||
\(27\) | 8.67361 | + | 25.5689i | 0.321245 | + | 0.946996i | ||||
\(28\) | −1.83848 | + | 26.9999i | −0.0656600 | + | 0.964282i | ||||
\(29\) | −38.2238 | − | 13.9123i | −1.31806 | − | 0.479735i | −0.415224 | − | 0.909719i | \(-0.636297\pi\) |
−0.902836 | + | 0.429984i | \(0.858519\pi\) | |||||||
\(30\) | 15.9600 | − | 1.19959i | 0.532000 | − | 0.0399862i | ||||
\(31\) | −4.43128 | + | 5.28100i | −0.142945 | + | 0.170355i | −0.832767 | − | 0.553624i | \(-0.813244\pi\) |
0.689822 | + | 0.723979i | \(0.257689\pi\) | |||||||
\(32\) | 30.1198 | + | 10.8073i | 0.941244 | + | 0.337727i | ||||
\(33\) | 39.0561 | − | 40.7929i | 1.18352 | − | 1.23615i | ||||
\(34\) | −18.1835 | − | 23.2301i | −0.534809 | − | 0.683238i | ||||
\(35\) | −15.6294 | + | 9.02364i | −0.446555 | + | 0.257818i | ||||
\(36\) | −31.6084 | + | 17.2311i | −0.878010 | + | 0.478642i | ||||
\(37\) | −4.65176 | + | 8.05708i | −0.125723 | + | 0.217759i | −0.922015 | − | 0.387153i | \(-0.873458\pi\) |
0.796292 | + | 0.604912i | \(0.206792\pi\) | |||||||
\(38\) | −9.31644 | − | 65.8536i | −0.245169 | − | 1.73299i | ||||
\(39\) | 8.44411 | − | 12.6356i | 0.216516 | − | 0.323991i | ||||
\(40\) | 5.21932 | + | 20.6919i | 0.130483 | + | 0.517298i | ||||
\(41\) | −20.9136 | + | 7.61194i | −0.510089 | + | 0.185657i | −0.584226 | − | 0.811591i | \(-0.698602\pi\) |
0.0741374 | + | 0.997248i | \(0.476380\pi\) | |||||||
\(42\) | 23.6890 | − | 32.9648i | 0.564023 | − | 0.784875i | ||||
\(43\) | 42.0191 | − | 7.40910i | 0.977188 | − | 0.172305i | 0.337824 | − | 0.941209i | \(-0.390309\pi\) |
0.639363 | + | 0.768905i | \(0.279198\pi\) | |||||||
\(44\) | 62.5034 | + | 41.9933i | 1.42053 | + | 0.954392i | ||||
\(45\) | −21.2934 | − | 11.0884i | −0.473187 | − | 0.246408i | ||||
\(46\) | −16.6164 | − | 31.1821i | −0.361225 | − | 0.677872i | ||||
\(47\) | −35.0594 | − | 41.7822i | −0.745945 | − | 0.888982i | 0.250928 | − | 0.968006i | \(-0.419264\pi\) |
−0.996873 | + | 0.0790235i | \(0.974820\pi\) | |||||||
\(48\) | −29.8514 | − | 37.5885i | −0.621904 | − | 0.783093i | ||||
\(49\) | 0.560291 | − | 3.17757i | 0.0114345 | − | 0.0648483i | ||||
\(50\) | 23.9097 | − | 26.6033i | 0.478195 | − | 0.532065i | ||||
\(51\) | 4.81442 | + | 43.9880i | 0.0944004 | + | 0.862510i | ||||
\(52\) | 18.5264 | + | 8.20799i | 0.356277 | + | 0.157846i | ||||
\(53\) | 25.6875 | 0.484670 | 0.242335 | − | 0.970193i | \(-0.422087\pi\) | ||||
0.242335 | + | 0.970193i | \(0.422087\pi\) | |||||||
\(54\) | 53.9153 | + | 3.02327i | 0.998432 | + | 0.0559865i | ||||
\(55\) | 50.2159i | 0.913016i | ||||||||
\(56\) | 48.7119 | + | 23.5934i | 0.869855 | + | 0.421311i | ||||
\(57\) | −40.1859 | + | 91.3124i | −0.705016 | + | 1.60197i | ||||
\(58\) | −54.3811 | + | 60.5073i | −0.937605 | + | 1.04323i | ||||
\(59\) | −15.3255 | − | 2.70230i | −0.259755 | − | 0.0458018i | 0.0422541 | − | 0.999107i | \(-0.486546\pi\) |
−0.302009 | + | 0.953305i | \(0.597657\pi\) | |||||||
\(60\) | 9.70513 | − | 30.5034i | 0.161752 | − | 0.508389i | ||||
\(61\) | −48.6391 | + | 40.8131i | −0.797363 | + | 0.669067i | −0.947556 | − | 0.319590i | \(-0.896455\pi\) |
0.150193 | + | 0.988657i | \(0.452010\pi\) | |||||||
\(62\) | 6.48405 | + | 12.1679i | 0.104581 | + | 0.196257i | ||||
\(63\) | −56.2586 | + | 23.2941i | −0.892994 | + | 0.369747i | ||||
\(64\) | 42.5632 | − | 47.7951i | 0.665050 | − | 0.746799i | ||||
\(65\) | 2.34652 | + | 13.3078i | 0.0361003 | + | 0.204735i | ||||
\(66\) | −46.4777 | − | 102.945i | −0.704208 | − | 1.55977i | ||||
\(67\) | −11.8552 | − | 32.5718i | −0.176943 | − | 0.486147i | 0.819239 | − | 0.573453i | \(-0.194396\pi\) |
−0.996182 | + | 0.0873060i | \(0.972174\pi\) | |||||||
\(68\) | −56.6855 | + | 16.3664i | −0.833611 | + | 0.240682i | ||||
\(69\) | −3.46997 | + | 52.8860i | −0.0502894 | + | 0.766463i | ||||
\(70\) | 5.05602 | + | 35.7387i | 0.0722289 | + | 0.510553i | ||||
\(71\) | −23.7276 | − | 13.6991i | −0.334192 | − | 0.192946i | 0.323509 | − | 0.946225i | \(-0.395137\pi\) |
−0.657701 | + | 0.753279i | \(0.728471\pi\) | |||||||
\(72\) | 8.33673 | + | 71.5157i | 0.115788 | + | 0.993274i | ||||
\(73\) | 18.2594 | + | 31.6262i | 0.250129 | + | 0.433235i | 0.963561 | − | 0.267489i | \(-0.0861938\pi\) |
−0.713432 | + | 0.700724i | \(0.752860\pi\) | |||||||
\(74\) | 11.4690 | + | 14.6521i | 0.154987 | + | 0.198001i | ||||
\(75\) | −51.5108 | + | 15.0102i | −0.686811 | + | 0.200136i | ||||
\(76\) | −129.126 | − | 31.9444i | −1.69903 | − | 0.420321i | ||||
\(77\) | 97.5656 | + | 81.8672i | 1.26709 | + | 1.06321i | ||||
\(78\) | −17.1276 | − | 25.1096i | −0.219585 | − | 0.321918i | ||||
\(79\) | 43.9448 | − | 120.737i | 0.556263 | − | 1.52832i | −0.268752 | − | 0.963209i | \(-0.586611\pi\) |
0.825015 | − | 0.565111i | \(-0.191167\pi\) | |||||||
\(80\) | 42.2861 | + | 5.78553i | 0.528577 | + | 0.0723192i | ||||
\(81\) | −66.3386 | − | 46.4779i | −0.818995 | − | 0.573801i | ||||
\(82\) | −1.51282 | + | 44.4859i | −0.0184490 | + | 0.542511i | ||||
\(83\) | 0.482480 | − | 1.32560i | 0.00581301 | − | 0.0159711i | −0.936752 | − | 0.349993i | \(-0.886184\pi\) |
0.942565 | + | 0.334022i | \(0.108406\pi\) | |||||||
\(84\) | −43.4433 | − | 68.5861i | −0.517182 | − | 0.816501i | ||||
\(85\) | −30.1410 | − | 25.2913i | −0.354600 | − | 0.297545i | ||||
\(86\) | 17.6658 | − | 83.4860i | 0.205417 | − | 0.970767i | ||||
\(87\) | 117.158 | − | 34.1397i | 1.34664 | − | 0.392410i | ||||
\(88\) | 124.622 | − | 84.5563i | 1.41616 | − | 0.960867i | ||||
\(89\) | −34.1806 | − | 59.2025i | −0.384052 | − | 0.665197i | 0.607585 | − | 0.794254i | \(-0.292138\pi\) |
−0.991637 | + | 0.129057i | \(0.958805\pi\) | |||||||
\(90\) | −36.4868 | + | 31.2116i | −0.405408 | + | 0.346796i | ||||
\(91\) | 29.6815 | + | 17.1366i | 0.326171 | + | 0.188315i | ||||
\(92\) | −70.2655 | + | 7.51495i | −0.763756 | + | 0.0816842i | ||||
\(93\) | 1.35405 | − | 20.6372i | 0.0145597 | − | 0.221905i | ||||
\(94\) | −103.716 | + | 33.8040i | −1.10336 | + | 0.359617i | ||||
\(95\) | −30.3396 | − | 83.3573i | −0.319364 | − | 0.877446i | ||||
\(96\) | −92.0431 | + | 27.2777i | −0.958782 | + | 0.284143i | ||||
\(97\) | −19.7333 | − | 111.913i | −0.203436 | − | 1.15375i | −0.899881 | − | 0.436135i | \(-0.856347\pi\) |
0.696445 | − | 0.717610i | \(-0.254764\pi\) | |||||||
\(98\) | −5.47572 | − | 3.41466i | −0.0558747 | − | 0.0348435i | ||||
\(99\) | −22.1375 | + | 167.973i | −0.223611 | + | 1.69670i | ||||
\(100\) | −31.4774 | − | 64.2403i | −0.314774 | − | 0.642403i | ||||
\(101\) | −129.982 | + | 109.068i | −1.28695 | + | 1.07988i | −0.294710 | + | 0.955587i | \(0.595223\pi\) |
−0.992245 | + | 0.124296i | \(0.960333\pi\) | |||||||
\(102\) | 85.1989 | + | 23.9509i | 0.835283 | + | 0.234813i | ||||
\(103\) | 13.3003 | + | 2.34520i | 0.129129 | + | 0.0227689i | 0.237839 | − | 0.971305i | \(-0.423561\pi\) |
−0.108710 | + | 0.994073i | \(0.534672\pi\) | |||||||
\(104\) | 29.0751 | − | 28.2318i | 0.279568 | − | 0.271460i | ||||
\(105\) | 21.8089 | − | 49.5552i | 0.207703 | − | 0.471954i | ||||
\(106\) | 19.2019 | − | 47.6517i | 0.181150 | − | 0.449544i | ||||
\(107\) | 161.176i | 1.50632i | 0.657838 | + | 0.753159i | \(0.271471\pi\) | ||||
−0.657838 | + | 0.753159i | \(0.728529\pi\) | |||||||
\(108\) | 45.9111 | − | 97.7557i | 0.425103 | − | 0.905145i | ||||
\(109\) | 67.0064 | 0.614738 | 0.307369 | − | 0.951590i | \(-0.400551\pi\) | ||||
0.307369 | + | 0.951590i | \(0.400551\pi\) | |||||||
\(110\) | 93.1530 | + | 37.5374i | 0.846846 | + | 0.341249i | ||||
\(111\) | −3.03663 | − | 27.7449i | −0.0273571 | − | 0.249954i | ||||
\(112\) | 80.1801 | − | 72.7265i | 0.715894 | − | 0.649343i | ||||
\(113\) | −2.48868 | + | 14.1140i | −0.0220237 | + | 0.124903i | −0.993837 | − | 0.110847i | \(-0.964644\pi\) |
0.971814 | + | 0.235750i | \(0.0757547\pi\) | |||||||
\(114\) | 139.349 | + | 142.805i | 1.22236 | + | 1.25267i | ||||
\(115\) | −30.2918 | − | 36.1003i | −0.263407 | − | 0.313916i | ||||
\(116\) | 71.5932 | + | 146.110i | 0.617183 | + | 1.25957i | ||||
\(117\) | 1.98247 | + | 45.5492i | 0.0169441 | + | 0.389309i | ||||
\(118\) | −16.4690 | + | 26.4096i | −0.139568 | + | 0.223810i | ||||
\(119\) | −98.2781 | + | 17.3291i | −0.825866 | + | 0.145623i | ||||
\(120\) | −49.3305 | − | 40.8054i | −0.411087 | − | 0.340045i | ||||
\(121\) | 219.307 | − | 79.8214i | 1.81246 | − | 0.659681i | ||||
\(122\) | 39.3516 | + | 120.737i | 0.322554 | + | 0.989645i | ||||
\(123\) | 37.0978 | − | 55.5126i | 0.301608 | − | 0.451322i | ||||
\(124\) | 27.4190 | − | 2.93249i | 0.221121 | − | 0.0236491i | ||||
\(125\) | 57.1972 | − | 99.0685i | 0.457578 | − | 0.792548i | ||||
\(126\) | 1.15721 | + | 121.775i | 0.00918423 | + | 0.966471i | ||||
\(127\) | 123.798 | − | 71.4751i | 0.974791 | − | 0.562796i | 0.0740975 | − | 0.997251i | \(-0.476392\pi\) |
0.900693 | + | 0.434455i | \(0.143059\pi\) | |||||||
\(128\) | −56.8456 | − | 114.685i | −0.444106 | − | 0.895974i | ||||
\(129\) | −88.5213 | + | 92.4579i | −0.686211 | + | 0.716728i | ||||
\(130\) | 26.4407 | + | 5.59492i | 0.203390 | + | 0.0430378i | ||||
\(131\) | 50.1592 | − | 59.7775i | 0.382895 | − | 0.456316i | −0.539831 | − | 0.841774i | \(-0.681512\pi\) |
0.922726 | + | 0.385457i | \(0.125956\pi\) | |||||||
\(132\) | −225.710 | + | 9.26549i | −1.70993 | + | 0.0701931i | ||||
\(133\) | −211.420 | − | 76.9504i | −1.58962 | − | 0.578575i | ||||
\(134\) | −69.2844 | − | 2.35613i | −0.517048 | − | 0.0175831i | ||||
\(135\) | 71.1867 | − | 10.9417i | 0.527309 | − | 0.0810496i | ||||
\(136\) | −12.0131 | + | 117.389i | −0.0883314 | + | 0.863152i | ||||
\(137\) | 206.641 | + | 75.2110i | 1.50833 | + | 0.548985i | 0.958201 | − | 0.286097i | \(-0.0923580\pi\) |
0.550125 | + | 0.835083i | \(0.314580\pi\) | |||||||
\(138\) | 95.5123 | + | 45.9703i | 0.692118 | + | 0.333118i | ||||
\(139\) | −127.475 | + | 151.919i | −0.917089 | + | 1.09294i | 0.0782911 | + | 0.996931i | \(0.475054\pi\) |
−0.995380 | + | 0.0960135i | \(0.969391\pi\) | |||||||
\(140\) | 70.0766 | + | 17.3362i | 0.500547 | + | 0.123830i | ||||
\(141\) | 158.936 | + | 38.9030i | 1.12721 | + | 0.275908i | ||||
\(142\) | −43.1495 | + | 33.7756i | −0.303870 | + | 0.237856i | ||||
\(143\) | 82.5878 | − | 47.6821i | 0.577537 | − | 0.333441i | ||||
\(144\) | 138.897 | + | 37.9944i | 0.964564 | + | 0.263850i | ||||
\(145\) | −54.2529 | + | 93.9688i | −0.374158 | + | 0.648060i | ||||
\(146\) | 72.3174 | − | 10.2309i | 0.495325 | − | 0.0700746i | ||||
\(147\) | 4.28065 | + | 8.68181i | 0.0291201 | + | 0.0590599i | ||||
\(148\) | 35.7537 | − | 10.3229i | 0.241579 | − | 0.0697492i | ||||
\(149\) | 207.161 | − | 75.4005i | 1.39034 | − | 0.506044i | 0.465046 | − | 0.885286i | \(-0.346038\pi\) |
0.925297 | + | 0.379243i | \(0.123816\pi\) | |||||||
\(150\) | −10.6607 | + | 106.776i | −0.0710711 | + | 0.711837i | ||||
\(151\) | −103.590 | + | 18.2656i | −0.686023 | + | 0.120964i | −0.505786 | − | 0.862659i | \(-0.668798\pi\) |
−0.180237 | + | 0.983623i | \(0.557686\pi\) | |||||||
\(152\) | −155.783 | + | 215.656i | −1.02489 | + | 1.41879i | ||||
\(153\) | −89.6726 | − | 97.8874i | −0.586095 | − | 0.639787i | ||||
\(154\) | 224.800 | − | 119.792i | 1.45974 | − | 0.777868i | ||||
\(155\) | 11.8205 | + | 14.0871i | 0.0762611 | + | 0.0908845i | ||||
\(156\) | −59.3829 | + | 13.0026i | −0.380659 | + | 0.0833501i | ||||
\(157\) | 46.2911 | − | 262.530i | 0.294848 | − | 1.67216i | −0.372973 | − | 0.927842i | \(-0.621662\pi\) |
0.667820 | − | 0.744322i | \(-0.267227\pi\) | |||||||
\(158\) | −191.124 | − | 171.773i | −1.20965 | − | 1.08717i | ||||
\(159\) | −62.1498 | + | 45.5636i | −0.390879 | + | 0.286563i | ||||
\(160\) | 42.3422 | − | 74.1181i | 0.264639 | − | 0.463238i | ||||
\(161\) | −119.525 | −0.742391 | ||||||||
\(162\) | −135.808 | + | 88.3183i | −0.838322 | + | 0.545175i | ||||
\(163\) | 179.334i | 1.10021i | 0.835096 | + | 0.550104i | \(0.185412\pi\) | ||||
−0.835096 | + | 0.550104i | \(0.814588\pi\) | |||||||
\(164\) | 81.3928 | + | 36.0605i | 0.496298 | + | 0.219881i | ||||
\(165\) | −89.0711 | − | 121.495i | −0.539825 | − | 0.736334i | ||||
\(166\) | −2.09840 | − | 1.88594i | −0.0126409 | − | 0.0113611i | ||||
\(167\) | 190.029 | + | 33.5073i | 1.13790 | + | 0.200642i | 0.710687 | − | 0.703508i | \(-0.248384\pi\) |
0.427213 | + | 0.904151i | \(0.359495\pi\) | |||||||
\(168\) | −159.705 | + | 29.3201i | −0.950627 | + | 0.174524i | ||||
\(169\) | −109.803 | + | 92.1356i | −0.649721 | + | 0.545181i | ||||
\(170\) | −69.4477 | + | 37.0074i | −0.408516 | + | 0.217690i | ||||
\(171\) | −64.7386 | − | 292.207i | −0.378588 | − | 1.70881i | ||||
\(172\) | −141.665 | − | 95.1784i | −0.823635 | − | 0.553363i | ||||
\(173\) | −43.0667 | − | 244.244i | −0.248941 | − | 1.41181i | −0.811160 | − | 0.584825i | \(-0.801163\pi\) |
0.562219 | − | 0.826988i | \(-0.309948\pi\) | |||||||
\(174\) | 24.2470 | − | 242.854i | 0.139350 | − | 1.39571i | ||||
\(175\) | −41.3841 | − | 113.702i | −0.236480 | − | 0.649724i | ||||
\(176\) | −63.6986 | − | 294.388i | −0.361924 | − | 1.67266i | ||||
\(177\) | 41.8727 | − | 20.6457i | 0.236569 | − | 0.116643i | ||||
\(178\) | −135.374 | + | 19.1517i | −0.760530 | + | 0.107594i | ||||
\(179\) | 24.5003 | + | 14.1453i | 0.136873 | + | 0.0790238i | 0.566873 | − | 0.823805i | \(-0.308153\pi\) |
−0.430000 | + | 0.902829i | \(0.641486\pi\) | |||||||
\(180\) | 30.6246 | + | 91.0161i | 0.170137 | + | 0.505645i | ||||
\(181\) | 134.243 | + | 232.516i | 0.741676 | + | 1.28462i | 0.951732 | + | 0.306931i | \(0.0993019\pi\) |
−0.210056 | + | 0.977689i | \(0.567365\pi\) | |||||||
\(182\) | 53.9769 | − | 42.2508i | 0.296576 | − | 0.232147i | ||||
\(183\) | 45.2875 | − | 185.020i | 0.247473 | − | 1.01104i | ||||
\(184\) | −38.5843 | + | 135.964i | −0.209697 | + | 0.738933i | ||||
\(185\) | 19.0111 | + | 15.9522i | 0.102762 | + | 0.0862280i | ||||
\(186\) | −37.2709 | − | 17.9385i | −0.200381 | − | 0.0964438i | ||||
\(187\) | −94.9700 | + | 260.928i | −0.507861 | + | 1.39534i | ||||
\(188\) | −14.8214 | + | 217.667i | −0.0788373 | + | 1.15780i | ||||
\(189\) | 94.7971 | − | 156.148i | 0.501572 | − | 0.826182i | ||||
\(190\) | −177.312 | − | 6.02978i | −0.933219 | − | 0.0317357i | ||||
\(191\) | 10.7627 | − | 29.5704i | 0.0563494 | − | 0.154819i | −0.908324 | − | 0.418267i | \(-0.862638\pi\) |
0.964674 | + | 0.263448i | \(0.0848598\pi\) | |||||||
\(192\) | −18.2025 | + | 191.135i | −0.0948045 | + | 0.995496i | ||||
\(193\) | 178.497 | + | 149.777i | 0.924855 | + | 0.776045i | 0.974886 | − | 0.222703i | \(-0.0714879\pi\) |
−0.0500319 | + | 0.998748i | \(0.515932\pi\) | |||||||
\(194\) | −222.356 | − | 47.0511i | −1.14616 | − | 0.242531i | ||||
\(195\) | −29.2822 | − | 28.0354i | −0.150165 | − | 0.143771i | ||||
\(196\) | −10.4276 | + | 7.60521i | −0.0532020 | + | 0.0388021i | ||||
\(197\) | −126.054 | − | 218.332i | −0.639867 | − | 1.10828i | −0.985462 | − | 0.169898i | \(-0.945656\pi\) |
0.345595 | − | 0.938384i | \(-0.387677\pi\) | |||||||
\(198\) | 295.050 | + | 166.629i | 1.49015 | + | 0.841562i | ||||
\(199\) | −258.347 | − | 149.157i | −1.29823 | − | 0.749531i | −0.318128 | − | 0.948048i | \(-0.603054\pi\) |
−0.980098 | + | 0.198517i | \(0.936388\pi\) | |||||||
\(200\) | −142.699 | + | 10.3713i | −0.713495 | + | 0.0518566i | ||||
\(201\) | 86.4578 | + | 57.7778i | 0.430138 | + | 0.287452i | ||||
\(202\) | 105.163 | + | 322.655i | 0.520607 | + | 1.59730i | ||||
\(203\) | 94.1252 | + | 258.607i | 0.463671 | + | 1.27393i | ||||
\(204\) | 108.118 | − | 140.144i | 0.529990 | − | 0.686982i | ||||
\(205\) | 10.3091 | + | 58.4656i | 0.0502881 | + | 0.285198i | ||||
\(206\) | 14.2927 | − | 22.9196i | 0.0693820 | − | 0.111260i | ||||
\(207\) | −85.4117 | − | 134.110i | −0.412617 | − | 0.647875i | ||||
\(208\) | −30.6372 | − | 75.0397i | −0.147294 | − | 0.360768i | ||||
\(209\) | −479.560 | + | 402.398i | −2.29454 | + | 1.92535i | ||||
\(210\) | −75.6248 | − | 77.5000i | −0.360118 | − | 0.369048i | ||||
\(211\) | 79.4973 | + | 14.0175i | 0.376764 | + | 0.0664337i | 0.358824 | − | 0.933405i | \(-0.383178\pi\) |
0.0179406 | + | 0.999839i | \(0.494289\pi\) | |||||||
\(212\) | −74.0424 | − | 71.2411i | −0.349257 | − | 0.336043i | ||||
\(213\) | 81.7070 | − | 8.94270i | 0.383601 | − | 0.0419845i | ||||
\(214\) | 298.990 | + | 120.482i | 1.39715 | + | 0.563001i | ||||
\(215\) | − | 113.815i | − | 0.529373i | ||||||
\(216\) | −147.022 | − | 158.242i | −0.680659 | − | 0.732601i | ||||
\(217\) | 46.6411 | 0.214936 | ||||||||
\(218\) | 50.0886 | − | 124.300i | 0.229764 | − | 0.570185i | ||||
\(219\) | −100.275 | − | 44.1303i | −0.457877 | − | 0.201508i | ||||
\(220\) | 139.267 | − | 144.744i | 0.633034 | − | 0.657926i | ||||
\(221\) | −12.9753 | + | 73.5867i | −0.0587119 | + | 0.332971i | ||||
\(222\) | −53.7381 | − | 15.1067i | −0.242063 | − | 0.0680483i | ||||
\(223\) | 86.4593 | + | 103.038i | 0.387710 | + | 0.462055i | 0.924232 | − | 0.381832i | \(-0.124707\pi\) |
−0.536522 | + | 0.843886i | \(0.680262\pi\) | |||||||
\(224\) | −74.9751 | − | 203.103i | −0.334710 | − | 0.906709i | ||||
\(225\) | 98.0036 | − | 127.685i | 0.435571 | − | 0.567487i | ||||
\(226\) | 24.3219 | + | 15.1671i | 0.107619 | + | 0.0671112i | ||||
\(227\) | 301.128 | − | 53.0971i | 1.32656 | − | 0.233908i | 0.534922 | − | 0.844902i | \(-0.320341\pi\) |
0.791635 | + | 0.610994i | \(0.209230\pi\) | |||||||
\(228\) | 369.076 | − | 151.751i | 1.61876 | − | 0.665574i | ||||
\(229\) | −208.128 | + | 75.7525i | −0.908858 | + | 0.330797i | −0.753797 | − | 0.657108i | \(-0.771780\pi\) |
−0.155061 | + | 0.987905i | \(0.549557\pi\) | |||||||
\(230\) | −89.6117 | + | 29.2071i | −0.389616 | + | 0.126987i | ||||
\(231\) | −381.269 | − | 25.0159i | −1.65051 | − | 0.108294i | ||||
\(232\) | 324.559 | − | 23.5888i | 1.39896 | − | 0.101676i | ||||
\(233\) | 42.1249 | − | 72.9625i | 0.180794 | − | 0.313144i | −0.761357 | − | 0.648332i | \(-0.775467\pi\) |
0.942151 | + | 0.335189i | \(0.108800\pi\) | |||||||
\(234\) | 85.9780 | + | 30.3714i | 0.367427 | + | 0.129792i | ||||
\(235\) | −126.001 | + | 72.7465i | −0.536173 | + | 0.309560i | ||||
\(236\) | 36.6802 | + | 50.2926i | 0.155425 | + | 0.213104i | ||||
\(237\) | 107.837 | + | 370.066i | 0.455008 | + | 1.56146i | ||||
\(238\) | −41.3185 | + | 195.265i | −0.173607 | + | 0.820440i | ||||
\(239\) | −80.0260 | + | 95.3713i | −0.334837 | + | 0.399043i | −0.907023 | − | 0.421081i | \(-0.861651\pi\) |
0.572186 | + | 0.820124i | \(0.306095\pi\) | |||||||
\(240\) | −112.572 | + | 61.0077i | −0.469048 | + | 0.254199i | ||||
\(241\) | −142.642 | − | 51.9174i | −0.591876 | − | 0.215425i | 0.0286786 | − | 0.999589i | \(-0.490870\pi\) |
−0.620554 | + | 0.784164i | \(0.713092\pi\) | |||||||
\(242\) | 15.8639 | − | 466.495i | 0.0655535 | − | 1.92766i | ||||
\(243\) | 242.944 | − | 5.21777i | 0.999769 | − | 0.0214723i | ||||
\(244\) | 253.389 | + | 17.2538i | 1.03848 | + | 0.0707123i | ||||
\(245\) | −8.08788 | − | 2.94375i | −0.0330117 | − | 0.0120153i | ||||
\(246\) | −75.2473 | − | 110.315i | −0.305883 | − | 0.448436i | ||||
\(247\) | −108.285 | + | 129.049i | −0.438402 | + | 0.522467i | ||||
\(248\) | 15.0564 | − | 53.0558i | 0.0607112 | − | 0.213935i | ||||
\(249\) | 1.18397 | + | 4.06304i | 0.00475488 | + | 0.0163174i | ||||
\(250\) | −141.021 | − | 180.159i | −0.564084 | − | 0.720637i | ||||
\(251\) | −18.3430 | + | 10.5903i | −0.0730796 | + | 0.0421925i | −0.536095 | − | 0.844158i | \(-0.680101\pi\) |
0.463015 | + | 0.886350i | \(0.346768\pi\) | |||||||
\(252\) | 226.765 | + | 88.8828i | 0.899860 | + | 0.352710i | ||||
\(253\) | −166.287 | + | 288.017i | −0.657260 | + | 1.13841i | ||||
\(254\) | −40.0481 | − | 283.081i | −0.157670 | − | 1.11449i | ||||
\(255\) | 117.786 | + | 7.72819i | 0.461905 | + | 0.0303066i | ||||
\(256\) | −255.239 | + | 19.7224i | −0.997028 | + | 0.0770406i | ||||
\(257\) | 36.6814 | − | 13.3509i | 0.142729 | − | 0.0519491i | −0.269668 | − | 0.962953i | \(-0.586914\pi\) |
0.412397 | + | 0.911004i | \(0.364692\pi\) | |||||||
\(258\) | 105.343 | + | 233.326i | 0.408305 | + | 0.904363i | ||||
\(259\) | 61.9877 | − | 10.9301i | 0.239335 | − | 0.0422011i | ||||
\(260\) | 30.1438 | − | 44.8665i | 0.115938 | − | 0.172564i | ||||
\(261\) | −222.902 | + | 290.410i | −0.854032 | + | 1.11268i | ||||
\(262\) | −73.3952 | − | 137.733i | −0.280134 | − | 0.525698i | ||||
\(263\) | 247.344 | + | 294.773i | 0.940472 | + | 1.12081i | 0.992510 | + | 0.122166i | \(0.0389840\pi\) |
−0.0520376 | + | 0.998645i | \(0.516572\pi\) | |||||||
\(264\) | −151.535 | + | 425.630i | −0.573996 | + | 1.61224i | ||||
\(265\) | 11.8987 | − | 67.4806i | 0.0449006 | − | 0.254644i | ||||
\(266\) | −300.787 | + | 334.672i | −1.13078 | + | 1.25817i | ||||
\(267\) | 187.710 | + | 82.6096i | 0.703033 | + | 0.309399i | ||||
\(268\) | −56.1622 | + | 126.765i | −0.209561 | + | 0.473003i | ||||
\(269\) | 128.494 | 0.477672 | 0.238836 | − | 0.971060i | \(-0.423234\pi\) | ||||
0.238836 | + | 0.971060i | \(0.423234\pi\) | |||||||
\(270\) | 32.9160 | − | 140.234i | 0.121911 | − | 0.519385i | ||||
\(271\) | − | 173.624i | − | 0.640678i | −0.947303 | − | 0.320339i | \(-0.896203\pi\) | ||
0.947303 | − | 0.320339i | \(-0.103797\pi\) | |||||||
\(272\) | 208.782 | + | 110.035i | 0.767581 | + | 0.404541i | ||||
\(273\) | −102.210 | + | 11.1867i | −0.374394 | + | 0.0409768i | ||||
\(274\) | 293.988 | − | 327.107i | 1.07295 | − | 1.19382i | ||||
\(275\) | −331.560 | − | 58.4630i | −1.20567 | − | 0.212593i | ||||
\(276\) | 156.675 | − | 142.816i | 0.567661 | − | 0.517451i | ||||
\(277\) | 123.403 | − | 103.547i | 0.445498 | − | 0.373818i | −0.392264 | − | 0.919853i | \(-0.628308\pi\) |
0.837762 | + | 0.546035i | \(0.183864\pi\) | |||||||
\(278\) | 186.528 | + | 350.036i | 0.670962 | + | 1.25912i | ||||
\(279\) | 33.3294 | + | 52.3325i | 0.119460 | + | 0.187572i | ||||
\(280\) | 84.5432 | − | 117.036i | 0.301940 | − | 0.417987i | ||||
\(281\) | −14.1148 | − | 80.0493i | −0.0502308 | − | 0.284873i | 0.949337 | − | 0.314259i | \(-0.101756\pi\) |
−0.999568 | + | 0.0293859i | \(0.990645\pi\) | |||||||
\(282\) | 190.975 | − | 265.754i | 0.677217 | − | 0.942391i | ||||
\(283\) | −109.608 | − | 301.145i | −0.387306 | − | 1.06412i | −0.968209 | − | 0.250142i | \(-0.919523\pi\) |
0.580903 | − | 0.813973i | \(-0.302700\pi\) | |||||||
\(284\) | 30.4003 | + | 105.292i | 0.107043 | + | 0.370748i | ||||
\(285\) | 221.261 | + | 147.864i | 0.776356 | + | 0.518821i | ||||
\(286\) | −26.7167 | − | 188.848i | −0.0934149 | − | 0.660307i | ||||
\(287\) | 130.401 | + | 75.2871i | 0.454359 | + | 0.262324i | ||||
\(288\) | 174.310 | − | 229.260i | 0.605243 | − | 0.796041i | ||||
\(289\) | 35.7154 | + | 61.8609i | 0.123583 | + | 0.214052i | ||||
\(290\) | 133.762 | + | 170.885i | 0.461247 | + | 0.589260i | ||||
\(291\) | 246.252 | + | 235.767i | 0.846226 | + | 0.810196i | ||||
\(292\) | 35.0799 | − | 141.800i | 0.120137 | − | 0.485618i | ||||
\(293\) | −38.6454 | − | 32.4274i | −0.131896 | − | 0.110674i | 0.574453 | − | 0.818537i | \(-0.305215\pi\) |
−0.706349 | + | 0.707864i | \(0.749659\pi\) | |||||||
\(294\) | 19.3051 | − | 1.45101i | 0.0656635 | − | 0.00493540i | ||||
\(295\) | −14.1978 | + | 39.0081i | −0.0481281 | + | 0.132231i | ||||
\(296\) | 7.57709 | − | 74.0414i | 0.0255983 | − | 0.250140i | ||||
\(297\) | −244.383 | − | 445.669i | −0.822840 | − | 1.50057i | ||||
\(298\) | 14.9853 | − | 440.658i | 0.0502863 | − | 1.47872i | ||||
\(299\) | −30.6093 | + | 84.0982i | −0.102372 | + | 0.281265i | ||||
\(300\) | 190.105 | + | 99.5930i | 0.633684 | + | 0.331977i | ||||
\(301\) | −221.134 | − | 185.553i | −0.734665 | − | 0.616457i | ||||
\(302\) | −43.5515 | + | 205.818i | −0.144210 | + | 0.681516i | ||||
\(303\) | 121.026 | − | 494.444i | 0.399424 | − | 1.63183i | ||||
\(304\) | 283.603 | + | 450.192i | 0.932903 | + | 1.48090i | ||||
\(305\) | 84.6851 | + | 146.679i | 0.277656 | + | 0.480915i | ||||
\(306\) | −248.618 | + | 93.1744i | −0.812477 | + | 0.304492i | ||||
\(307\) | 109.109 | + | 62.9942i | 0.355404 | + | 0.205193i | 0.667063 | − | 0.745001i | \(-0.267551\pi\) |
−0.311659 | + | 0.950194i | \(0.600885\pi\) | |||||||
\(308\) | −54.1772 | − | 506.562i | −0.175900 | − | 1.64468i | ||||
\(309\) | −36.3393 | + | 17.9175i | −0.117603 | + | 0.0579853i | ||||
\(310\) | 34.9683 | − | 11.3972i | 0.112801 | − | 0.0367652i | ||||
\(311\) | −78.4332 | − | 215.493i | −0.252197 | − | 0.692905i | −0.999593 | − | 0.0285262i | \(-0.990919\pi\) |
0.747396 | − | 0.664378i | \(-0.231304\pi\) | |||||||
\(312\) | −20.2694 | + | 119.878i | −0.0649660 | + | 0.384224i | ||||
\(313\) | 51.3526 | + | 291.235i | 0.164066 | + | 0.930463i | 0.950023 | + | 0.312181i | \(0.101060\pi\) |
−0.785957 | + | 0.618281i | \(0.787829\pi\) | |||||||
\(314\) | −452.403 | − | 282.119i | −1.44077 | − | 0.898467i | ||||
\(315\) | 35.1336 | + | 158.580i | 0.111535 | + | 0.503429i | ||||
\(316\) | −461.517 | + | 226.141i | −1.46050 | + | 0.715637i | ||||
\(317\) | 144.559 | − | 121.299i | 0.456021 | − | 0.382647i | −0.385643 | − | 0.922648i | \(-0.626020\pi\) |
0.841665 | + | 0.540001i | \(0.181576\pi\) | |||||||
\(318\) | 38.0645 | + | 149.351i | 0.119700 | + | 0.469656i | ||||
\(319\) | 754.110 | + | 132.970i | 2.36398 | + | 0.416834i | ||||
\(320\) | −105.841 | − | 133.952i | −0.330754 | − | 0.418599i | ||||
\(321\) | −285.888 | − | 389.958i | −0.890617 | − | 1.21482i | ||||
\(322\) | −89.3473 | + | 221.725i | −0.277476 | + | 0.688587i | ||||
\(323\) | − | 490.514i | − | 1.51862i | ||||||
\(324\) | 62.3156 | + | 317.951i | 0.192332 | + | 0.981330i | ||||
\(325\) | −90.5991 | −0.278766 | ||||||||
\(326\) | 332.674 | + | 134.056i | 1.02047 | + | 0.411214i | ||||
\(327\) | −162.119 | + | 118.853i | −0.495777 | + | 0.363466i | ||||
\(328\) | 127.737 | − | 124.032i | 0.389441 | − | 0.378146i | ||||
\(329\) | −64.0787 | + | 363.408i | −0.194768 | + | 1.10459i | ||||
\(330\) | −291.962 | + | 74.4114i | −0.884733 | + | 0.225489i | ||||
\(331\) | −114.150 | − | 136.038i | −0.344863 | − | 0.410992i | 0.565536 | − | 0.824724i | \(-0.308670\pi\) |
−0.910399 | + | 0.413732i | \(0.864225\pi\) | |||||||
\(332\) | −5.06710 | + | 2.48286i | −0.0152624 | + | 0.00747848i | ||||
\(333\) | 56.5598 | + | 61.7412i | 0.169849 | + | 0.185409i | ||||
\(334\) | 204.208 | − | 327.467i | 0.611402 | − | 0.980439i | ||||
\(335\) | −91.0570 | + | 16.0558i | −0.271812 | + | 0.0479278i | ||||
\(336\) | −64.9927 | + | 318.179i | −0.193431 | + | 0.946961i | ||||
\(337\) | 337.952 | − | 123.004i | 1.00282 | − | 0.364998i | 0.212151 | − | 0.977237i | \(-0.431953\pi\) |
0.790673 | + | 0.612238i | \(0.209731\pi\) | |||||||
\(338\) | 88.8364 | + | 272.563i | 0.262829 | + | 0.806400i | ||||
\(339\) | −19.0137 | − | 38.5626i | −0.0560875 | − | 0.113754i | ||||
\(340\) | 16.7370 | + | 156.493i | 0.0492265 | + | 0.460273i | ||||
\(341\) | 64.8885 | − | 112.390i | 0.190289 | − | 0.329590i | ||||
\(342\) | −590.451 | − | 98.3368i | −1.72647 | − | 0.287534i | ||||
\(343\) | −306.005 | + | 176.672i | −0.892144 | + | 0.515079i | ||||
\(344\) | −282.458 | + | 191.648i | −0.821100 | + | 0.557117i | ||||
\(345\) | 137.323 | + | 33.6127i | 0.398038 | + | 0.0974281i | ||||
\(346\) | −485.278 | − | 102.686i | −1.40254 | − | 0.296780i | ||||
\(347\) | −178.381 | + | 212.586i | −0.514065 | + | 0.612639i | −0.959167 | − | 0.282841i | \(-0.908723\pi\) |
0.445102 | + | 0.895480i | \(0.353167\pi\) | |||||||
\(348\) | −432.381 | − | 226.517i | −1.24247 | − | 0.650912i | ||||
\(349\) | 49.7907 | + | 18.1223i | 0.142667 | + | 0.0519265i | 0.412367 | − | 0.911018i | \(-0.364702\pi\) |
−0.269700 | + | 0.962944i | \(0.586924\pi\) | |||||||
\(350\) | −241.858 | − | 8.22479i | −0.691023 | − | 0.0234994i | ||||
\(351\) | −85.5900 | − | 106.688i | −0.243846 | − | 0.303954i | ||||
\(352\) | −593.721 | − | 101.897i | −1.68671 | − | 0.289479i | ||||
\(353\) | −128.371 | − | 46.7231i | −0.363657 | − | 0.132360i | 0.153728 | − | 0.988113i | \(-0.450872\pi\) |
−0.517385 | + | 0.855753i | \(0.673094\pi\) | |||||||
\(354\) | −6.99826 | − | 93.1090i | −0.0197691 | − | 0.263020i | ||||
\(355\) | −46.9782 | + | 55.9864i | −0.132333 | + | 0.157708i | ||||
\(356\) | −65.6677 | + | 265.443i | −0.184460 | + | 0.745625i | ||||
\(357\) | 207.042 | − | 216.249i | 0.579949 | − | 0.605740i | ||||
\(358\) | 44.5546 | − | 34.8755i | 0.124454 | − | 0.0974175i | ||||
\(359\) | −166.650 | + | 96.2154i | −0.464206 | + | 0.268009i | −0.713811 | − | 0.700338i | \(-0.753032\pi\) |
0.249605 | + | 0.968348i | \(0.419699\pi\) | |||||||
\(360\) | 191.732 | + | 11.2262i | 0.532589 | + | 0.0311838i | ||||
\(361\) | 372.437 | − | 645.079i | 1.03168 | − | 1.78692i | ||||
\(362\) | 531.679 | − | 75.2177i | 1.46873 | − | 0.207784i | ||||
\(363\) | −389.020 | + | 582.124i | −1.07168 | + | 1.60365i | ||||
\(364\) | −38.0286 | − | 131.713i | −0.104474 | − | 0.361849i | ||||
\(365\) | 91.5392 | − | 33.3176i | 0.250792 | − | 0.0912810i | ||||
\(366\) | −309.368 | − | 222.317i | −0.845267 | − | 0.607422i | ||||
\(367\) | −239.898 | + | 42.3005i | −0.653673 | + | 0.115260i | −0.490642 | − | 0.871361i | \(-0.663238\pi\) |
−0.163030 | + | 0.986621i | \(0.552127\pi\) | |||||||
\(368\) | 223.377 | + | 173.211i | 0.607003 | + | 0.470683i | ||||
\(369\) | 8.70964 | + | 200.113i | 0.0236034 | + | 0.542312i | ||||
\(370\) | 43.8032 | − | 23.3419i | 0.118387 | − | 0.0630863i | ||||
\(371\) | −111.711 | − | 133.132i | −0.301108 | − | 0.358847i | ||||
\(372\) | −61.1376 | + | 55.7299i | −0.164348 | + | 0.149812i | ||||
\(373\) | −68.4605 | + | 388.259i | −0.183540 | + | 1.04091i | 0.744276 | + | 0.667872i | \(0.232795\pi\) |
−0.927817 | + | 0.373037i | \(0.878317\pi\) | |||||||
\(374\) | 413.042 | + | 371.223i | 1.10439 | + | 0.992574i | ||||
\(375\) | 37.3379 | + | 341.146i | 0.0995677 | + | 0.909723i | ||||
\(376\) | 392.704 | + | 190.205i | 1.04443 | + | 0.505864i | ||||
\(377\) | 206.061 | 0.546582 | ||||||||
\(378\) | −218.801 | − | 292.578i | −0.578837 | − | 0.774015i | ||||
\(379\) | − | 353.110i | − | 0.931690i | −0.884866 | − | 0.465845i | \(-0.845751\pi\) | ||
0.884866 | − | 0.465845i | \(-0.154249\pi\) | |||||||
\(380\) | −143.729 | + | 324.415i | −0.378235 | + | 0.853722i | ||||
\(381\) | −172.745 | + | 392.520i | −0.453399 | + | 1.03024i | ||||
\(382\) | −46.8092 | − | 42.0699i | −0.122537 | − | 0.110131i | ||||
\(383\) | 45.9409 | + | 8.10062i | 0.119950 | + | 0.0211504i | 0.233301 | − | 0.972405i | \(-0.425047\pi\) |
−0.113351 | + | 0.993555i | \(0.536158\pi\) | |||||||
\(384\) | 340.959 | + | 176.644i | 0.887914 | + | 0.460010i | ||||
\(385\) | 260.257 | − | 218.381i | 0.675991 | − | 0.567224i | ||||
\(386\) | 411.273 | − | 219.160i | 1.06548 | − | 0.567772i | ||||
\(387\) | 50.1750 | − | 380.713i | 0.129651 | − | 0.983756i | ||||
\(388\) | −253.498 | + | 377.310i | −0.653345 | + | 0.972449i | ||||
\(389\) | −28.7035 | − | 162.786i | −0.0737880 | − | 0.418472i | −0.999217 | − | 0.0395526i | \(-0.987407\pi\) |
0.925430 | − | 0.378920i | \(-0.123704\pi\) | |||||||
\(390\) | −73.8961 | + | 33.3629i | −0.189477 | + | 0.0855458i | ||||
\(391\) | −89.1256 | − | 244.870i | −0.227943 | − | 0.626267i | ||||
\(392\) | 6.31323 | + | 25.0287i | 0.0161052 | + | 0.0638488i | ||||
\(393\) | −15.3270 | + | 233.599i | −0.0390000 | + | 0.594401i | ||||
\(394\) | −499.244 | + | 70.6290i | −1.26712 | + | 0.179261i | ||||
\(395\) | −296.819 | − | 171.368i | −0.751440 | − | 0.433844i | ||||
\(396\) | 529.661 | − | 422.774i | 1.33753 | − | 1.06761i | ||||
\(397\) | −330.658 | − | 572.717i | −0.832892 | − | 1.44261i | −0.895735 | − | 0.444588i | \(-0.853350\pi\) |
0.0628427 | − | 0.998023i | \(-0.479983\pi\) | |||||||
\(398\) | −469.813 | + | 367.749i | −1.18043 | + | 0.923993i | ||||
\(399\) | 648.012 | − | 188.830i | 1.62409 | − | 0.473258i | ||||
\(400\) | −87.4310 | + | 272.467i | −0.218577 | + | 0.681166i | ||||
\(401\) | 322.430 | + | 270.551i | 0.804065 | + | 0.674690i | 0.949183 | − | 0.314724i | \(-0.101912\pi\) |
−0.145119 | + | 0.989414i | \(0.546356\pi\) | |||||||
\(402\) | 171.810 | − | 117.194i | 0.427387 | − | 0.291526i | ||||
\(403\) | 11.9444 | − | 32.8169i | 0.0296386 | − | 0.0814314i | ||||
\(404\) | 677.152 | + | 46.1087i | 1.67612 | + | 0.114131i | ||||
\(405\) | −152.825 | + | 152.741i | −0.377346 | + | 0.377139i | ||||
\(406\) | 550.089 | + | 18.7067i | 1.35490 | + | 0.0460757i | ||||
\(407\) | 59.9011 | − | 164.577i | 0.147177 | − | 0.404366i | ||||
\(408\) | −179.155 | − | 305.325i | −0.439105 | − | 0.748346i | ||||
\(409\) | −298.130 | − | 250.161i | −0.728925 | − | 0.611640i | 0.200914 | − | 0.979609i | \(-0.435609\pi\) |
−0.929838 | + | 0.367969i | \(0.880053\pi\) | |||||||
\(410\) | 116.163 | + | 24.5804i | 0.283324 | + | 0.0599521i | ||||
\(411\) | −633.364 | + | 184.562i | −1.54103 | + | 0.449055i | ||||
\(412\) | −31.8330 | − | 43.6466i | −0.0772646 | − | 0.105938i | ||||
\(413\) | 52.6430 | + | 91.1803i | 0.127465 | + | 0.220776i | ||||
\(414\) | −312.628 | + | 58.1931i | −0.755140 | + | 0.140563i | ||||
\(415\) | −3.25884 | − | 1.88149i | −0.00785263 | − | 0.00453372i | ||||
\(416\) | −162.104 | + | 0.739996i | −0.389674 | + | 0.00177884i | ||||
\(417\) | 38.9522 | − | 593.673i | 0.0934106 | − | 1.42368i | ||||
\(418\) | 387.989 | + | 1190.41i | 0.928203 | + | 2.84787i | ||||
\(419\) | −1.34000 | − | 3.68161i | −0.00319809 | − | 0.00878667i | 0.938083 | − | 0.346410i | \(-0.112599\pi\) |
−0.941281 | + | 0.337623i | \(0.890377\pi\) | |||||||
\(420\) | −200.298 | + | 82.3551i | −0.476899 | + | 0.196084i | ||||
\(421\) | −74.4542 | − | 422.251i | −0.176851 | − | 1.00297i | −0.935986 | − | 0.352038i | \(-0.885489\pi\) |
0.759135 | − | 0.650933i | \(-0.225622\pi\) | |||||||
\(422\) | 85.4290 | − | 136.993i | 0.202438 | − | 0.324628i | ||||
\(423\) | −453.544 | + | 187.791i | −1.07221 | + | 0.443951i | ||||
\(424\) | −187.504 | + | 84.0983i | −0.442227 | + | 0.198345i | ||||
\(425\) | 202.082 | − | 169.567i | 0.475487 | − | 0.398981i | ||||
\(426\) | 44.4884 | − | 158.255i | 0.104433 | − | 0.371492i | ||||
\(427\) | 423.048 | + | 74.5948i | 0.990746 | + | 0.174695i | ||||
\(428\) | 447.002 | − | 464.578i | 1.04440 | − | 1.08546i | ||||
\(429\) | −115.241 | + | 261.856i | −0.268626 | + | 0.610386i | ||||
\(430\) | −211.133 | − | 85.0791i | −0.491007 | − | 0.197858i | ||||
\(431\) | 112.825i | 0.261775i | 0.991397 | + | 0.130887i | \(0.0417826\pi\) | ||||
−0.991397 | + | 0.130887i | \(0.958217\pi\) | |||||||
\(432\) | −403.449 | + | 154.445i | −0.933909 | + | 0.357512i | ||||
\(433\) | 164.343 | 0.379546 | 0.189773 | − | 0.981828i | \(-0.439225\pi\) | ||||
0.189773 | + | 0.981828i | \(0.439225\pi\) | |||||||
\(434\) | 34.8651 | − | 86.5216i | 0.0803344 | − | 0.199359i | ||||
\(435\) | −35.4159 | − | 323.585i | −0.0814158 | − | 0.743874i | ||||
\(436\) | −193.141 | − | 185.834i | −0.442984 | − | 0.426224i | ||||
\(437\) | 102.018 | − | 578.570i | 0.233450 | − | 1.32396i | ||||
\(438\) | −156.822 | + | 153.027i | −0.358040 | + | 0.349377i | ||||
\(439\) | 424.795 | + | 506.251i | 0.967642 | + | 1.15319i | 0.988164 | + | 0.153401i | \(0.0490227\pi\) |
−0.0205222 | + | 0.999789i | \(0.506533\pi\) | |||||||
\(440\) | −164.402 | − | 366.547i | −0.373640 | − | 0.833062i | ||||
\(441\) | −25.7563 | − | 13.4124i | −0.0584044 | − | 0.0304136i | ||||
\(442\) | 126.808 | + | 79.0774i | 0.286895 | + | 0.178908i | ||||
\(443\) | 230.174 | − | 40.5858i | 0.519580 | − | 0.0916159i | 0.0922926 | − | 0.995732i | \(-0.470580\pi\) |
0.427287 | + | 0.904116i | \(0.359469\pi\) | |||||||
\(444\) | −68.1940 | + | 88.3943i | −0.153590 | + | 0.199086i | ||||
\(445\) | −171.357 | + | 62.3687i | −0.385071 | + | 0.140154i | ||||
\(446\) | 255.771 | − | 83.3633i | 0.573478 | − | 0.186913i | ||||
\(447\) | −367.475 | + | 549.883i | −0.822091 | + | 1.23016i | ||||
\(448\) | −432.811 | − | 12.7408i | −0.966097 | − | 0.0284392i | ||||
\(449\) | −122.709 | + | 212.538i | −0.273294 | + | 0.473360i | −0.969703 | − | 0.244285i | \(-0.921447\pi\) |
0.696409 | + | 0.717645i | \(0.254780\pi\) | |||||||
\(450\) | −163.602 | − | 277.248i | −0.363559 | − | 0.616107i | ||||
\(451\) | 362.836 | − | 209.483i | 0.804514 | − | 0.464487i | ||||
\(452\) | 46.3169 | − | 33.7806i | 0.102471 | − | 0.0747358i | ||||
\(453\) | 218.231 | − | 227.936i | 0.481747 | − | 0.503170i | ||||
\(454\) | 126.602 | − | 598.300i | 0.278858 | − | 1.31784i | ||||
\(455\) | 58.7663 | − | 70.0350i | 0.129157 | − | 0.153923i | ||||
\(456\) | −5.61366 | − | 798.092i | −0.0123107 | − | 1.75020i | ||||
\(457\) | 429.197 | + | 156.215i | 0.939162 | + | 0.341827i | 0.765835 | − | 0.643037i | \(-0.222326\pi\) |
0.173327 | + | 0.984864i | \(0.444548\pi\) | |||||||
\(458\) | −15.0553 | + | 442.715i | −0.0328718 | + | 0.966627i | ||||
\(459\) | 390.588 | + | 77.7762i | 0.850954 | + | 0.169447i | ||||
\(460\) | −12.8059 | + | 188.067i | −0.0278389 | + | 0.408841i | ||||
\(461\) | 613.064 | + | 223.137i | 1.32986 | + | 0.484029i | 0.906604 | − | 0.421982i | \(-0.138666\pi\) |
0.423254 | + | 0.906011i | \(0.360888\pi\) | |||||||
\(462\) | −331.412 | + | 688.573i | −0.717341 | + | 1.49042i | ||||
\(463\) | −153.827 | + | 183.324i | −0.332240 | + | 0.395948i | −0.906140 | − | 0.422977i | \(-0.860985\pi\) |
0.573901 | + | 0.818925i | \(0.305430\pi\) | |||||||
\(464\) | 198.856 | − | 619.707i | 0.428568 | − | 1.33557i | ||||
\(465\) | −53.5863 | − | 13.1164i | −0.115239 | − | 0.0282072i | ||||
\(466\) | −103.860 | − | 132.685i | −0.222875 | − | 0.284731i | ||||
\(467\) | −81.5519 | + | 47.0840i | −0.174629 | + | 0.100822i | −0.584767 | − | 0.811201i | \(-0.698814\pi\) |
0.410138 | + | 0.912024i | \(0.365481\pi\) | |||||||
\(468\) | 120.611 | − | 136.790i | 0.257715 | − | 0.292287i | ||||
\(469\) | −117.255 | + | 203.092i | −0.250012 | + | 0.433033i | ||||
\(470\) | 40.7605 | + | 288.117i | 0.0867245 | + | 0.613015i | ||||
\(471\) | 353.667 | + | 717.289i | 0.750884 | + | 1.52291i | ||||
\(472\) | 120.715 | − | 30.4489i | 0.255751 | − | 0.0645105i | ||||
\(473\) | −754.774 | + | 274.715i | −1.59572 | + | 0.580793i | ||||
\(474\) | 767.102 | + | 76.5888i | 1.61836 | + | 0.161580i | ||||
\(475\) | 585.705 | − | 103.276i | 1.23306 | − | 0.217422i | ||||
\(476\) | 331.340 | + | 222.612i | 0.696092 | + | 0.467673i | ||||
\(477\) | 69.5497 | − | 220.478i | 0.145807 | − | 0.462218i | ||||
\(478\) | 117.098 | + | 219.744i | 0.244974 | + | 0.459716i | ||||
\(479\) | −220.464 | − | 262.739i | −0.460260 | − | 0.548516i | 0.485137 | − | 0.874438i | \(-0.338770\pi\) |
−0.945397 | + | 0.325922i | \(0.894325\pi\) | |||||||
\(480\) | 29.0230 | + | 254.431i | 0.0604646 | + | 0.530064i | ||||
\(481\) | 8.18402 | − | 46.4139i | 0.0170146 | − | 0.0964945i | ||||
\(482\) | −202.937 | + | 225.799i | −0.421032 | + | 0.468462i | ||||
\(483\) | 289.185 | − | 212.009i | 0.598727 | − | 0.438942i | ||||
\(484\) | −853.513 | − | 378.142i | −1.76346 | − | 0.781286i | ||||
\(485\) | −303.135 | −0.625020 | ||||||||
\(486\) | 171.926 | − | 454.574i | 0.353758 | − | 0.935337i | ||||
\(487\) | − | 446.412i | − | 0.916656i | −0.888783 | − | 0.458328i | \(-0.848448\pi\) | ||
0.888783 | − | 0.458328i | \(-0.151552\pi\) | |||||||
\(488\) | 221.420 | − | 457.152i | 0.453729 | − | 0.936786i | ||||
\(489\) | −318.096 | − | 433.890i | −0.650503 | − | 0.887301i | ||||
\(490\) | −11.5066 | + | 12.8029i | −0.0234830 | + | 0.0261284i | ||||
\(491\) | 5.90542 | + | 1.04128i | 0.0120273 | + | 0.00212074i | 0.179659 | − | 0.983729i | \(-0.442501\pi\) |
−0.167631 | + | 0.985850i | \(0.553612\pi\) | |||||||
\(492\) | −260.889 | + | 57.1249i | −0.530262 | + | 0.116107i | ||||
\(493\) | −459.621 | + | 385.668i | −0.932295 | + | 0.782288i | ||||
\(494\) | 158.448 | + | 297.342i | 0.320744 | + | 0.601906i | ||||
\(495\) | 431.007 | + | 135.961i | 0.870721 | + | 0.274669i | ||||
\(496\) | −87.1663 | − | 67.5906i | −0.175739 | − | 0.136271i | ||||
\(497\) | 32.1885 | + | 182.550i | 0.0647655 | + | 0.367304i | ||||
\(498\) | 8.42218 | + | 0.840886i | 0.0169120 | + | 0.00168853i | ||||
\(499\) | −274.772 | − | 754.929i | −0.550645 | − | 1.51288i | −0.832833 | − | 0.553525i | \(-0.813282\pi\) |
0.282188 | − | 0.959359i | \(-0.408940\pi\) | |||||||
\(500\) | −439.621 | + | 126.928i | −0.879242 | + | 0.253857i | ||||
\(501\) | −519.201 | + | 255.998i | −1.03633 | + | 0.510973i | ||||
\(502\) | 5.93385 | + | 41.9436i | 0.0118204 | + | 0.0835531i | ||||
\(503\) | −127.666 | − | 73.7082i | −0.253810 | − | 0.146537i | 0.367698 | − | 0.929945i | \(-0.380146\pi\) |
−0.621508 | + | 0.783408i | \(0.713479\pi\) | |||||||
\(504\) | 334.393 | − | 354.218i | 0.663479 | − | 0.702814i | ||||
\(505\) | 226.311 | + | 391.982i | 0.448141 | + | 0.776203i | ||||
\(506\) | 409.984 | + | 523.769i | 0.810245 | + | 1.03512i | ||||
\(507\) | 102.237 | − | 417.682i | 0.201650 | − | 0.823831i | ||||
\(508\) | −555.067 | − | 137.318i | −1.09265 | − | 0.270311i | ||||
\(509\) | −519.941 | − | 436.282i | −1.02149 | − | 0.857136i | −0.0316799 | − | 0.999498i | \(-0.510086\pi\) |
−0.989815 | + | 0.142362i | \(0.954530\pi\) | |||||||
\(510\) | 102.383 | − | 212.721i | 0.200752 | − | 0.417101i | ||||
\(511\) | 84.5035 | − | 232.171i | 0.165369 | − | 0.454347i | ||||
\(512\) | −154.210 | + | 488.225i | −0.301192 | + | 0.953564i | ||||
\(513\) | 674.937 | + | 592.150i | 1.31567 | + | 1.15429i | ||||
\(514\) | 2.65340 | − | 78.0259i | 0.00516226 | − | 0.151801i | ||||
\(515\) | 12.3216 | − | 33.8533i | 0.0239254 | − | 0.0657345i | ||||
\(516\) | 511.577 | − | 21.0004i | 0.991427 | − | 0.0406985i | ||||
\(517\) | 786.551 | + | 659.995i | 1.52138 | + | 1.27659i | ||||
\(518\) | 26.0611 | − | 123.161i | 0.0503110 | − | 0.237762i | ||||
\(519\) | 537.428 | + | 514.546i | 1.03551 | + | 0.991419i | ||||
\(520\) | −60.6966 | − | 89.4569i | −0.116724 | − | 0.172033i | ||||
\(521\) | 107.426 | + | 186.067i | 0.206192 | + | 0.357135i | 0.950512 | − | 0.310688i | \(-0.100559\pi\) |
−0.744320 | + | 0.667823i | \(0.767226\pi\) | |||||||
\(522\) | 372.101 | + | 630.582i | 0.712837 | + | 1.20801i | ||||
\(523\) | 535.275 | + | 309.041i | 1.02347 | + | 0.590901i | 0.915107 | − | 0.403210i | \(-0.132106\pi\) |
0.108363 | + | 0.994111i | \(0.465439\pi\) | |||||||
\(524\) | −310.366 | + | 33.1938i | −0.592301 | + | 0.0633470i | ||||
\(525\) | 301.807 | + | 201.691i | 0.574870 | + | 0.384173i | ||||
\(526\) | 731.714 | − | 238.487i | 1.39109 | − | 0.453398i | ||||
\(527\) | 34.7786 | + | 95.5535i | 0.0659936 | + | 0.181316i | ||||
\(528\) | 676.291 | + | 599.272i | 1.28085 | + | 1.13499i | ||||
\(529\) | 37.6630 | + | 213.598i | 0.0711966 | + | 0.403776i | ||||
\(530\) | −116.285 | − | 72.5157i | −0.219407 | − | 0.136822i | ||||
\(531\) | −64.6884 | + | 124.224i | −0.121824 | + | 0.233943i | ||||
\(532\) | 395.989 | + | 808.150i | 0.744341 | + | 1.51908i | ||||
\(533\) | 86.3668 | − | 72.4704i | 0.162039 | − | 0.135967i | ||||
\(534\) | 293.562 | − | 286.459i | 0.549741 | − | 0.536440i | ||||
\(535\) | 423.406 | + | 74.6579i | 0.791414 | + | 0.139548i | ||||
\(536\) | 193.173 | + | 198.943i | 0.360397 | + | 0.371162i | ||||
\(537\) | −84.3678 | + | 9.23392i | −0.157109 | + | 0.0171954i | ||||
\(538\) | 96.0517 | − | 238.363i | 0.178535 | − | 0.443053i | ||||
\(539\) | 60.7406i | 0.112691i | ||||||||
\(540\) | −235.536 | − | 165.889i | −0.436177 | − | 0.307201i | ||||
\(541\) | −647.938 | −1.19767 | −0.598834 | − | 0.800873i | \(-0.704369\pi\) | ||||
−0.598834 | + | 0.800873i | \(0.704369\pi\) | |||||||
\(542\) | −322.081 | − | 129.787i | −0.594245 | − | 0.239460i | ||||
\(543\) | −737.224 | − | 324.447i | −1.35769 | − | 0.597508i | ||||
\(544\) | 360.190 | − | 305.048i | 0.662114 | − | 0.560750i | ||||
\(545\) | 31.0379 | − | 176.024i | 0.0569502 | − | 0.322981i | ||||
\(546\) | −55.6518 | + | 197.966i | −0.101926 | + | 0.362575i | ||||
\(547\) | −431.014 | − | 513.662i | −0.787960 | − | 0.939054i | 0.211304 | − | 0.977420i | \(-0.432229\pi\) |
−0.999264 | + | 0.0383666i | \(0.987785\pi\) | |||||||
\(548\) | −387.038 | − | 789.882i | −0.706274 | − | 1.44139i | ||||
\(549\) | 218.610 | + | 527.976i | 0.398197 | + | 0.961705i | ||||
\(550\) | −356.299 | + | 571.358i | −0.647817 | + | 1.03883i | ||||
\(551\) | −1332.15 | + | 234.893i | −2.41769 | + | 0.426304i | ||||
\(552\) | −147.814 | − | 397.397i | −0.267780 | − | 0.719923i | ||||
\(553\) | −816.861 | + | 297.313i | −1.47714 | + | 0.537637i | ||||
\(554\) | −99.8396 | − | 306.323i | −0.180216 | − | 0.552929i | ||||
\(555\) | −74.2918 | − | 4.87445i | −0.133859 | − | 0.00878280i | ||||
\(556\) | 788.767 | − | 84.3593i | 1.41865 | − | 0.151725i | ||||
\(557\) | −334.348 | + | 579.107i | −0.600265 | + | 1.03969i | 0.392515 | + | 0.919745i | \(0.371605\pi\) |
−0.992781 | + | 0.119944i | \(0.961728\pi\) | |||||||
\(558\) | 121.994 | − | 22.7082i | 0.218627 | − | 0.0406956i | ||||
\(559\) | −187.187 | + | 108.072i | −0.334860 | + | 0.193331i | ||||
\(560\) | −153.911 | − | 244.319i | −0.274841 | − | 0.436284i | ||||
\(561\) | −233.049 | − | 799.757i | −0.415416 | − | 1.42559i | ||||
\(562\) | −159.047 | − | 33.6547i | −0.283001 | − | 0.0598837i | ||||
\(563\) | 30.5238 | − | 36.3768i | 0.0542163 | − | 0.0646125i | −0.738255 | − | 0.674522i | \(-0.764350\pi\) |
0.792471 | + | 0.609910i | \(0.208794\pi\) | |||||||
\(564\) | −350.230 | − | 552.925i | −0.620975 | − | 0.980364i | ||||
\(565\) | 35.9245 | + | 13.0754i | 0.0635831 | + | 0.0231424i | ||||
\(566\) | −640.573 | − | 21.7838i | −1.13175 | − | 0.0384872i | ||||
\(567\) | 47.6129 | + | 545.942i | 0.0839734 | + | 0.962860i | ||||
\(568\) | 218.048 | + | 22.3141i | 0.383887 | + | 0.0392853i | ||||
\(569\) | 114.639 | + | 41.7252i | 0.201475 | + | 0.0733307i | 0.440786 | − | 0.897612i | \(-0.354700\pi\) |
−0.239312 | + | 0.970943i | \(0.576922\pi\) | |||||||
\(570\) | 439.693 | − | 299.920i | 0.771391 | − | 0.526175i | ||||
\(571\) | −604.450 | + | 720.356i | −1.05858 | + | 1.26157i | −0.0946241 | + | 0.995513i | \(0.530165\pi\) |
−0.963958 | + | 0.266056i | \(0.914280\pi\) | |||||||
\(572\) | −370.294 | − | 91.6067i | −0.647366 | − | 0.160152i | ||||
\(573\) | 26.4109 | + | 90.6348i | 0.0460923 | + | 0.158176i | ||||
\(574\) | 237.139 | − | 185.622i | 0.413134 | − | 0.323383i | ||||
\(575\) | 273.626 | − | 157.978i | 0.475871 | − | 0.274744i | ||||
\(576\) | −294.989 | − | 494.730i | −0.512133 | − | 0.858906i | ||||
\(577\) | −71.2440 | + | 123.398i | −0.123473 | + | 0.213862i | −0.921135 | − | 0.389243i | \(-0.872737\pi\) |
0.797662 | + | 0.603105i | \(0.206070\pi\) | |||||||
\(578\) | 141.453 | − | 20.0117i | 0.244729 | − | 0.0346222i | ||||
\(579\) | −697.534 | − | 45.7668i | −1.20472 | − | 0.0790445i | ||||
\(580\) | 416.991 | − | 120.395i | 0.718949 | − | 0.207577i | ||||
\(581\) | −8.96850 | + | 3.26427i | −0.0154363 | + | 0.00561836i | ||||
\(582\) | 621.438 | − | 280.569i | 1.06776 | − | 0.482077i | ||||
\(583\) | −476.222 | + | 83.9708i | −0.816848 | + | 0.144032i | ||||
\(584\) | −236.824 | − | 171.074i | −0.405520 | − | 0.292934i | ||||
\(585\) | 120.575 | + | 15.8908i | 0.206111 | + | 0.0271638i | ||||
\(586\) | −89.0426 | + | 47.4491i | −0.151950 | + | 0.0809712i | ||||
\(587\) | −109.295 | − | 130.253i | −0.186192 | − | 0.221895i | 0.664871 | − | 0.746958i | \(-0.268486\pi\) |
−0.851064 | + | 0.525063i | \(0.824042\pi\) | |||||||
\(588\) | 11.7392 | − | 36.8965i | 0.0199647 | − | 0.0627492i | ||||
\(589\) | −39.8093 | + | 225.770i | −0.0675880 | + | 0.383311i | ||||
\(590\) | 61.7489 | + | 55.4970i | 0.104659 | + | 0.0940627i | ||||
\(591\) | 692.250 | + | 304.654i | 1.17132 | + | 0.515489i | ||||
\(592\) | −131.687 | − | 69.4033i | −0.222444 | − | 0.117235i | ||||
\(593\) | −669.024 | −1.12820 | −0.564101 | − | 0.825706i | \(-0.690777\pi\) | ||||
−0.564101 | + | 0.825706i | \(0.690777\pi\) | |||||||
\(594\) | −1009.42 | + | 120.197i | −1.69936 | + | 0.202352i | ||||
\(595\) | 266.202i | 0.447398i | ||||||||
\(596\) | −806.241 | − | 357.199i | −1.35275 | − | 0.599327i | ||||
\(597\) | 889.627 | − | 97.3684i | 1.49016 | − | 0.163096i | ||||
\(598\) | 133.125 | + | 119.647i | 0.222618 | + | 0.200078i | ||||
\(599\) | −483.540 | − | 85.2611i | −0.807245 | − | 0.142339i | −0.245229 | − | 0.969465i | \(-0.578863\pi\) |
−0.562016 | + | 0.827126i | \(0.689974\pi\) | |||||||
\(600\) | 326.857 | − | 278.207i | 0.544762 | − | 0.463678i | ||||
\(601\) | 231.159 | − | 193.966i | 0.384624 | − | 0.322738i | −0.429890 | − | 0.902881i | \(-0.641448\pi\) |
0.814515 | + | 0.580143i | \(0.197003\pi\) | |||||||
\(602\) | −509.513 | + | 271.510i | −0.846368 | + | 0.451013i | ||||
\(603\) | −311.665 | + | 13.5648i | −0.516857 | + | 0.0224955i | ||||
\(604\) | 349.247 | + | 234.643i | 0.578223 | + | 0.388482i | ||||
\(605\) | −108.104 | − | 613.090i | −0.178685 | − | 1.01337i | ||||
\(606\) | −826.749 | − | 594.115i | −1.36427 | − | 0.980388i | ||||
\(607\) | −66.6834 | − | 183.211i | −0.109857 | − | 0.301830i | 0.872566 | − | 0.488496i | \(-0.162454\pi\) |
−0.982424 | + | 0.186665i | \(0.940232\pi\) | |||||||
\(608\) | 1047.13 | − | 189.570i | 1.72225 | − | 0.311792i | ||||
\(609\) | −686.439 | − | 458.732i | −1.12716 | − | 0.753255i | ||||
\(610\) | 335.401 | − | 47.4498i | 0.549837 | − | 0.0777866i | ||||
\(611\) | 239.286 | + | 138.152i | 0.391630 | + | 0.226107i | ||||
\(612\) | −13.0036 | + | 530.849i | −0.0212478 | + | 0.867400i | ||||
\(613\) | −296.011 | − | 512.707i | −0.482890 | − | 0.836389i | 0.516917 | − | 0.856035i | \(-0.327079\pi\) |
−0.999807 | + | 0.0196459i | \(0.993746\pi\) | |||||||
\(614\) | 198.419 | − | 155.314i | 0.323158 | − | 0.252954i | ||||
\(615\) | −128.646 | − | 123.169i | −0.209181 | − | 0.200275i | ||||
\(616\) | −980.197 | − | 278.164i | −1.59123 | − | 0.451565i | ||||
\(617\) | −272.885 | − | 228.978i | −0.442277 | − | 0.371114i | 0.394284 | − | 0.918989i | \(-0.370993\pi\) |
−0.836561 | + | 0.547874i | \(0.815437\pi\) | |||||||
\(618\) | 6.07346 | + | 80.8049i | 0.00982760 | + | 0.130752i | ||||
\(619\) | 190.318 | − | 522.895i | 0.307461 | − | 0.844741i | −0.685689 | − | 0.727894i | \(-0.740499\pi\) |
0.993150 | − | 0.116847i | \(-0.0372787\pi\) | |||||||
\(620\) | 4.99712 | − | 73.3876i | 0.00805987 | − | 0.118367i | ||||
\(621\) | 444.529 | + | 172.973i | 0.715828 | + | 0.278540i | ||||
\(622\) | −458.381 | − | 15.5880i | −0.736948 | − | 0.0250612i | ||||
\(623\) | −158.186 | + | 434.612i | −0.253910 | + | 0.697612i | ||||
\(624\) | 207.228 | + | 127.212i | 0.332096 | + | 0.203865i | ||||
\(625\) | 108.750 | + | 91.2519i | 0.174000 | + | 0.146003i | ||||
\(626\) | 578.643 | + | 122.442i | 0.924349 | + | 0.195595i | ||||
\(627\) | 446.514 | − | 1824.21i | 0.712143 | − | 2.90943i | ||||
\(628\) | −861.524 | + | 628.341i | −1.37185 | + | 1.00054i | ||||
\(629\) | 68.6145 | + | 118.844i | 0.109085 | + | 0.188941i | ||||
\(630\) | 320.438 | + | 53.3673i | 0.508631 | + | 0.0847100i | ||||
\(631\) | 716.677 | + | 413.773i | 1.13578 | + | 0.655742i | 0.945382 | − | 0.325965i | \(-0.105689\pi\) |
0.190397 | + | 0.981707i | \(0.439022\pi\) | |||||||
\(632\) | 74.5100 | + | 1025.18i | 0.117896 | + | 1.62213i | ||||
\(633\) | −217.204 | + | 107.095i | −0.343134 | + | 0.169186i | ||||
\(634\) | −116.956 | − | 358.837i | −0.184473 | − | 0.565989i | ||||
\(635\) | −130.419 | − | 358.324i | −0.205385 | − | 0.564289i | ||||
\(636\) | 305.507 | + | 41.0310i | 0.480357 | + | 0.0645141i | ||||
\(637\) | 2.83833 | + | 16.0970i | 0.00445578 | + | 0.0252700i | ||||
\(638\) | 810.379 | − | 1299.52i | 1.27019 | − | 2.03686i | ||||
\(639\) | −181.824 | + | 166.565i | −0.284545 | + | 0.260665i | ||||
\(640\) | −327.606 | + | 96.2094i | −0.511884 | + | 0.150327i | ||||
\(641\) | 18.1457 | − | 15.2260i | 0.0283084 | − | 0.0237536i | −0.628524 | − | 0.777790i | \(-0.716340\pi\) |
0.656832 | + | 0.754037i | \(0.271896\pi\) | |||||||
\(642\) | −937.100 | + | 238.836i | −1.45966 | + | 0.372018i | ||||
\(643\) | −511.335 | − | 90.1621i | −0.795233 | − | 0.140221i | −0.238751 | − | 0.971081i | \(-0.576738\pi\) |
−0.556482 | + | 0.830860i | \(0.687849\pi\) | |||||||
\(644\) | 344.522 | + | 331.488i | 0.534972 | + | 0.514732i | ||||
\(645\) | 201.881 | + | 275.371i | 0.312994 | + | 0.426931i | ||||
\(646\) | −909.928 | − | 366.669i | −1.40856 | − | 0.567599i | ||||
\(647\) | 728.461i | 1.12591i | 0.826489 | + | 0.562953i | \(0.190335\pi\) | ||||
−0.826489 | + | 0.562953i | \(0.809665\pi\) | |||||||
\(648\) | 636.397 | + | 122.076i | 0.982095 | + | 0.188389i | ||||
\(649\) | 292.954 | 0.451393 | ||||||||
\(650\) | −67.7246 | + | 168.066i | −0.104192 | + | 0.258563i | ||||
\(651\) | −112.846 | + | 82.7303i | −0.173343 | + | 0.127082i | ||||
\(652\) | 497.360 | − | 516.917i | 0.762822 | − | 0.792818i | ||||
\(653\) | 101.708 | − | 576.816i | 0.155755 | − | 0.883332i | −0.802337 | − | 0.596871i | \(-0.796410\pi\) |
0.958092 | − | 0.286460i | \(-0.0924786\pi\) | |||||||
\(654\) | 99.2921 | + | 389.584i | 0.151823 | + | 0.595695i | ||||
\(655\) | −133.800 | − | 159.457i | −0.204275 | − | 0.243445i | ||||
\(656\) | −134.600 | − | 329.675i | −0.205183 | − | 0.502553i | ||||
\(657\) | 320.888 | − | 71.0930i | 0.488414 | − | 0.108209i | ||||
\(658\) | 626.241 | + | 390.524i | 0.951734 | + | 0.593502i | ||||
\(659\) | 1165.69 | − | 205.543i | 1.76888 | − | 0.311901i | 0.808064 | − | 0.589095i | \(-0.200515\pi\) |
0.960814 | + | 0.277194i | \(0.0894044\pi\) | |||||||
\(660\) | −80.2105 | + | 597.228i | −0.121531 | + | 0.904892i | ||||
\(661\) | −112.165 | + | 40.8248i | −0.169690 | + | 0.0617622i | −0.425468 | − | 0.904973i | \(-0.639891\pi\) |
0.255778 | + | 0.966736i | \(0.417668\pi\) | |||||||
\(662\) | −337.687 | + | 110.062i | −0.510102 | + | 0.166257i | ||||
\(663\) | −99.1322 | − | 201.055i | −0.149521 | − | 0.303250i | ||||
\(664\) | 0.818062 | + | 11.2557i | 0.00123202 | + | 0.0169514i | ||||
\(665\) | −300.078 | + | 519.751i | −0.451246 | + | 0.781580i | ||||
\(666\) | 156.813 | − | 58.7686i | 0.235454 | − | 0.0882411i | ||||
\(667\) | −622.344 | + | 359.310i | −0.933049 | + | 0.538696i | ||||
\(668\) | −454.818 | − | 623.605i | −0.680865 | − | 0.933540i | ||||
\(669\) | −391.950 | − | 95.9380i | −0.585874 | − | 0.143405i | ||||
\(670\) | −38.2826 | + | 180.917i | −0.0571382 | + | 0.270026i | ||||
\(671\) | 768.308 | − | 915.634i | 1.14502 | − | 1.36458i | ||||
\(672\) | 541.655 | + | 358.410i | 0.806034 | + | 0.533348i | ||||
\(673\) | 989.622 | + | 360.193i | 1.47046 | + | 0.535205i | 0.948226 | − | 0.317595i | \(-0.102875\pi\) |
0.522237 | + | 0.852800i | \(0.325098\pi\) | |||||||
\(674\) | 24.4463 | − | 718.866i | 0.0362704 | − | 1.06657i | ||||
\(675\) | −10.6332 | + | 482.762i | −0.0157529 | + | 0.715203i | ||||
\(676\) | 572.026 | + | 38.9505i | 0.846192 | + | 0.0576190i | ||||
\(677\) | 529.374 | + | 192.676i | 0.781940 | + | 0.284603i | 0.701982 | − | 0.712195i | \(-0.252299\pi\) |
0.0799588 | + | 0.996798i | \(0.474521\pi\) | |||||||
\(678\) | −85.7486 | + | 6.44504i | −0.126473 | + | 0.00950595i | ||||
\(679\) | −494.202 | + | 588.967i | −0.727838 | + | 0.867404i | ||||
\(680\) | 302.813 | + | 85.9334i | 0.445314 | + | 0.126373i | ||||
\(681\) | −634.385 | + | 662.597i | −0.931550 | + | 0.972976i | ||||
\(682\) | −159.984 | − | 204.386i | −0.234581 | − | 0.299685i | ||||
\(683\) | −226.467 | + | 130.751i | −0.331577 | + | 0.191436i | −0.656541 | − | 0.754290i | \(-0.727981\pi\) |
0.324964 | + | 0.945726i | \(0.394648\pi\) | |||||||
\(684\) | −623.794 | + | 1021.81i | −0.911979 | + | 1.49387i | ||||
\(685\) | 293.295 | − | 508.002i | 0.428168 | − | 0.741609i | ||||
\(686\) | 98.9910 | + | 699.721i | 0.144302 | + | 1.02000i | ||||
\(687\) | 369.190 | − | 552.450i | 0.537395 | − | 0.804149i | ||||
\(688\) | 144.374 | + | 667.236i | 0.209846 | + | 0.969819i | ||||
\(689\) | −122.280 | + | 44.5065i | −0.177475 | + | 0.0645957i | ||||
\(690\) | 165.005 | − | 229.615i | 0.239138 | − | 0.332775i | ||||
\(691\) | 720.416 | − | 127.029i | 1.04257 | − | 0.183833i | 0.373959 | − | 0.927445i | \(-0.378000\pi\) |
0.668611 | + | 0.743612i | \(0.266889\pi\) | |||||||
\(692\) | −553.242 | + | 823.455i | −0.799483 | + | 1.18996i | ||||
\(693\) | 966.835 | − | 615.755i | 1.39514 | − | 0.888536i | ||||
\(694\) | 261.014 | + | 489.817i | 0.376101 | + | 0.705788i | ||||
\(695\) | 340.041 | + | 405.245i | 0.489268 | + | 0.583087i | ||||
\(696\) | −743.415 | + | 632.763i | −1.06812 | + | 0.909142i | ||||
\(697\) | −57.0050 | + | 323.291i | −0.0817862 | + | 0.463832i | ||||
\(698\) | 70.8374 | − | 78.8175i | 0.101486 | − | 0.112919i | ||||
\(699\) | 27.4988 | + | 251.249i | 0.0393402 | + | 0.359441i | ||||
\(700\) | −196.051 | + | 442.511i | −0.280073 | + | 0.632158i | ||||
\(701\) | 980.935 | 1.39934 | 0.699668 | − | 0.714468i | \(-0.253331\pi\) | ||||
0.699668 | + | 0.714468i | \(0.253331\pi\) | |||||||
\(702\) | −261.892 | + | 79.0225i | −0.373065 | + | 0.112568i | ||||
\(703\) | 309.385i | 0.440093i | ||||||||
\(704\) | −632.842 | + | 1025.21i | −0.898923 | + | 1.45627i | ||||
\(705\) | 175.818 | − | 399.502i | 0.249387 | − | 0.566670i | ||||
\(706\) | −182.634 | + | 203.208i | −0.258688 | + | 0.287830i | ||||
\(707\) | 1130.55 | + | 199.346i | 1.59908 | + | 0.281960i | ||||
\(708\) | −177.953 | − | 56.6187i | −0.251347 | − | 0.0799700i | ||||
\(709\) | −36.9636 | + | 31.0162i | −0.0521349 | + | 0.0437464i | −0.668483 | − | 0.743728i | \(-0.733056\pi\) |
0.616348 | + | 0.787474i | \(0.288612\pi\) | |||||||
\(710\) | 68.7405 | + | 128.998i | 0.0968177 | + | 0.181687i | ||||
\(711\) | −917.316 | − | 704.081i | −1.29018 | − | 0.990269i | ||||
\(712\) | 443.322 | + | 320.241i | 0.622643 | + | 0.449776i | ||||
\(713\) | 21.1487 | + | 119.940i | 0.0296616 | + | 0.168219i | ||||
\(714\) | −246.385 | − | 545.724i | −0.345077 | − | 0.764319i | ||||
\(715\) | −87.0046 | − | 239.043i | −0.121685 | − | 0.334326i | ||||
\(716\) | −31.3903 | − | 108.721i | −0.0438412 | − | 0.151845i | ||||
\(717\) | 24.4533 | − | 372.694i | 0.0341050 | − | 0.519796i | ||||
\(718\) | 53.9103 | + | 381.067i | 0.0750840 | + | 0.530734i | ||||
\(719\) | 1170.39 | + | 675.725i | 1.62780 | + | 0.939813i | 0.984747 | + | 0.173994i | \(0.0556674\pi\) |
0.643057 | + | 0.765818i | \(0.277666\pi\) | |||||||
\(720\) | 164.149 | − | 347.281i | 0.227984 | − | 0.482335i | ||||
\(721\) | −45.6863 | − | 79.1311i | −0.0633652 | − | 0.109752i | ||||
\(722\) | −918.251 | − | 1173.10i | −1.27182 | − | 1.62479i | ||||
\(723\) | 437.205 | − | 127.401i | 0.604710 | − | 0.176212i | ||||
\(724\) | 257.908 | − | 1042.52i | 0.356226 | − | 1.43994i | ||||
\(725\) | −557.284 | − | 467.617i | −0.768667 | − | 0.644988i | ||||
\(726\) | 789.069 | + | 1156.80i | 1.08687 | + | 1.59339i | ||||
\(727\) | −264.383 | + | 726.385i | −0.363662 | + | 0.999154i | 0.614061 | + | 0.789258i | \(0.289535\pi\) |
−0.977724 | + | 0.209896i | \(0.932687\pi\) | |||||||
\(728\) | −272.762 | − | 27.9133i | −0.374673 | − | 0.0383424i | ||||
\(729\) | −578.537 | + | 443.549i | −0.793604 | + | 0.608435i | ||||
\(730\) | 6.62163 | − | 194.716i | 0.00907073 | − | 0.266734i | ||||
\(731\) | 215.251 | − | 591.397i | 0.294461 | − | 0.809025i | ||||
\(732\) | −643.667 | + | 407.707i | −0.879327 | + | 0.556977i | ||||
\(733\) | −1060.19 | − | 889.603i | −1.44637 | − | 1.21365i | −0.935178 | − | 0.354179i | \(-0.884760\pi\) |
−0.511190 | − | 0.859468i | \(-0.670795\pi\) | |||||||
\(734\) | −100.859 | + | 476.643i | −0.137410 | + | 0.649378i | ||||
\(735\) | 24.7898 | − | 7.22371i | 0.0337276 | − | 0.00982818i | ||||
\(736\) | 488.295 | − | 284.897i | 0.663444 | − | 0.387088i | ||||
\(737\) | 326.259 | + | 565.097i | 0.442685 | + | 0.766753i | ||||
\(738\) | 377.730 | + | 133.432i | 0.511830 | + | 0.180802i | ||||
\(739\) | −295.927 | − | 170.854i | −0.400442 | − | 0.231196i | 0.286232 | − | 0.958160i | \(-0.407597\pi\) |
−0.686675 | + | 0.726965i | \(0.740930\pi\) | |||||||
\(740\) | −10.5567 | − | 98.7058i | −0.0142658 | − | 0.133386i | ||||
\(741\) | 33.0884 | − | 504.302i | 0.0446537 | − | 0.680569i | ||||
\(742\) | −330.473 | + | 107.711i | −0.445382 | + | 0.145163i | ||||
\(743\) | 191.604 | + | 526.428i | 0.257879 | + | 0.708517i | 0.999298 | + | 0.0374741i | \(0.0119312\pi\) |
−0.741419 | + | 0.671043i | \(0.765847\pi\) | |||||||
\(744\) | 57.6802 | + | 155.073i | 0.0775272 | + | 0.208431i | ||||
\(745\) | −102.117 | − | 579.134i | −0.137070 | − | 0.777361i | ||||
\(746\) | 669.064 | + | 417.229i | 0.896869 | + | 0.559288i | ||||
\(747\) | −10.0714 | − | 7.73027i | −0.0134825 | − | 0.0103484i | ||||
\(748\) | 997.395 | − | 488.718i | 1.33342 | − | 0.653367i | ||||
\(749\) | 835.336 | − | 700.930i | 1.11527 | − | 0.935821i | ||||
\(750\) | 660.754 | + | 185.750i | 0.881005 | + | 0.247666i | ||||
\(751\) | 732.986 | + | 129.245i | 0.976013 | + | 0.172097i | 0.638835 | − | 0.769344i | \(-0.279417\pi\) |
0.337178 | + | 0.941441i | \(0.390528\pi\) | |||||||
\(752\) | 646.394 | − | 586.304i | 0.859566 | − | 0.779660i | ||||
\(753\) | 25.5953 | − | 58.1589i | 0.0339911 | − | 0.0772363i | ||||
\(754\) | 154.035 | − | 382.254i | 0.204290 | − | 0.506969i | ||||
\(755\) | 280.588i | 0.371640i | ||||||||
\(756\) | −706.304 | + | 187.179i | −0.934264 | + | 0.247591i | ||||
\(757\) | −34.0389 | −0.0449655 | −0.0224828 | − | 0.999747i | \(-0.507157\pi\) | ||||
−0.0224828 | + | 0.999747i | \(0.507157\pi\) | |||||||
\(758\) | −655.038 | − | 263.957i | −0.864166 | − | 0.348228i | ||||
\(759\) | −108.551 | − | 991.798i | −0.143018 | − | 1.30672i | ||||
\(760\) | 494.365 | + | 509.132i | 0.650480 | + | 0.669910i | ||||
\(761\) | 27.3928 | − | 155.352i | 0.0359958 | − | 0.204142i | −0.961506 | − | 0.274784i | \(-0.911394\pi\) |
0.997502 | + | 0.0706419i | \(0.0225048\pi\) | |||||||
\(762\) | 599.014 | + | 613.867i | 0.786108 | + | 0.805600i | ||||
\(763\) | −291.401 | − | 347.278i | −0.381914 | − | 0.455148i | ||||
\(764\) | −113.033 | + | 55.3854i | −0.147948 | + | 0.0724940i | ||||
\(765\) | −298.685 | + | 190.226i | −0.390438 | + | 0.248661i | ||||
\(766\) | 49.3688 | − | 79.1673i | 0.0644501 | − | 0.103352i | ||||
\(767\) | 77.6362 | − | 13.6894i | 0.101221 | − | 0.0178479i | ||||
\(768\) | 582.557 | − | 500.451i | 0.758538 | − | 0.651629i | ||||
\(769\) | 271.545 | − | 98.8342i | 0.353114 | − | 0.128523i | −0.159372 | − | 0.987219i | \(-0.550947\pi\) |
0.512486 | + | 0.858696i | \(0.328725\pi\) | |||||||
\(770\) | −210.561 | − | 646.034i | −0.273456 | − | 0.839005i | ||||
\(771\) | −65.0675 | + | 97.3660i | −0.0843937 | + | 0.126285i | ||||
\(772\) | −99.1176 | − | 926.759i | −0.128391 | − | 1.20047i | ||||
\(773\) | 514.374 | − | 890.922i | 0.665426 | − | 1.15255i | −0.313744 | − | 0.949508i | \(-0.601583\pi\) |
0.979170 | − | 0.203043i | \(-0.0650832\pi\) | |||||||
\(774\) | −668.736 | − | 377.668i | −0.864000 | − | 0.487943i | ||||
\(775\) | −106.774 | + | 61.6463i | −0.137774 | + | 0.0795436i | ||||
\(776\) | 510.435 | + | 752.298i | 0.657777 | + | 0.969456i | ||||
\(777\) | −130.589 | + | 136.396i | −0.168068 | + | 0.175542i | ||||
\(778\) | −323.432 | − | 68.4391i | −0.415723 | − | 0.0879680i | ||||
\(779\) | −475.734 | + | 566.957i | −0.610698 | + | 0.727801i | ||||
\(780\) | 6.65100 | + | 162.021i | 0.00852693 | + | 0.207719i | ||||
\(781\) | 484.669 | + | 176.405i | 0.620575 | + | 0.225871i | ||||
\(782\) | −520.870 | − | 17.7131i | −0.666075 | − | 0.0226510i | ||||
\(783\) | 24.1845 | − | 1098.01i | 0.0308870 | − | 1.40231i | ||||
\(784\) | 51.1489 | + | 6.99812i | 0.0652409 | + | 0.00892617i | ||||
\(785\) | −668.218 | − | 243.212i | −0.851233 | − | 0.309824i | ||||
\(786\) | 421.882 | + | 203.053i | 0.536745 | + | 0.258337i | ||||
\(787\) | −541.136 | + | 644.900i | −0.687593 | + | 0.819441i | −0.991062 | − | 0.133400i | \(-0.957411\pi\) |
0.303469 | + | 0.952841i | \(0.401855\pi\) | |||||||
\(788\) | −242.174 | + | 978.920i | −0.307328 | + | 1.24228i | ||||
\(789\) | −1121.30 | − | 274.461i | −1.42116 | − | 0.347859i | ||||
\(790\) | −539.775 | + | 422.513i | −0.683260 | + | 0.534826i | ||||
\(791\) | 83.9724 | − | 48.4815i | 0.106160 | − | 0.0612914i | ||||
\(792\) | −388.335 | − | 1298.58i | −0.490322 | − | 1.63962i | ||||
\(793\) | 160.824 | − | 278.555i | 0.202805 | − | 0.351268i | ||||
\(794\) | −1309.59 | + | 185.271i | −1.64936 | + | 0.233338i | ||||
\(795\) | 90.9064 | + | 184.372i | 0.114348 | + | 0.231914i | ||||
\(796\) | 330.999 | + | 1146.43i | 0.415828 | + | 1.44023i | ||||
\(797\) | 50.5238 | − | 18.3892i | 0.0633925 | − | 0.0230730i | −0.310129 | − | 0.950694i | \(-0.600372\pi\) |
0.373522 | + | 0.927621i | \(0.378150\pi\) | |||||||
\(798\) | 134.112 | − | 1343.25i | 0.168061 | − | 1.68327i | ||||
\(799\) | −792.295 | + | 139.703i | −0.991609 | + | 0.174847i | ||||
\(800\) | 440.083 | + | 365.863i | 0.550104 | + | 0.457329i | ||||
\(801\) | −600.685 | + | 133.082i | −0.749919 | + | 0.166145i | ||||
\(802\) | 742.908 | − | 395.882i | 0.926320 | − | 0.493618i | ||||
\(803\) | −441.896 | − | 526.631i | −0.550306 | − | 0.655829i | ||||
\(804\) | −88.9688 | − | 406.320i | −0.110658 | − | 0.505374i | ||||
\(805\) | −55.3648 | + | 313.990i | −0.0687762 | + | 0.390049i | ||||
\(806\) | −51.9483 | − | 46.6887i | −0.0644520 | − | 0.0579264i | ||||
\(807\) | −310.885 | + | 227.918i | −0.385235 | + | 0.282426i | ||||
\(808\) | 591.719 | − | 1221.68i | 0.732325 | − | 1.51199i | ||||
\(809\) | 491.114 | 0.607063 | 0.303531 | − | 0.952821i | \(-0.401834\pi\) | ||||
0.303531 | + | 0.952821i | \(0.401834\pi\) | |||||||
\(810\) | 169.103 | + | 397.675i | 0.208769 | + | 0.490957i | ||||
\(811\) | 1304.91i | 1.60901i | 0.593943 | + | 0.804507i | \(0.297570\pi\) | ||||
−0.593943 | + | 0.804507i | \(0.702430\pi\) | |||||||
\(812\) | 445.905 | − | 1006.46i | 0.549144 | − | 1.23948i | ||||
\(813\) | 307.967 | + | 420.075i | 0.378803 | + | 0.516697i | ||||
\(814\) | −260.521 | − | 234.144i | −0.320051 | − | 0.287646i | ||||
\(815\) | 471.107 | + | 83.0688i | 0.578045 | + | 0.101925i | ||||
\(816\) | −700.315 | + | 104.104i | −0.858230 | + | 0.127579i | ||||
\(817\) | 1086.93 | − | 912.043i | 1.33039 | − | 1.11633i | ||||
\(818\) | −686.920 | + | 366.046i | −0.839755 | + | 0.447490i | ||||
\(819\) | 227.449 | − | 208.361i | 0.277715 | − | 0.254409i | ||||
\(820\) | 132.432 | − | 197.114i | 0.161502 | − | 0.240383i | ||||
\(821\) | 227.261 | + | 1288.86i | 0.276810 | + | 1.56987i | 0.733152 | + | 0.680065i | \(0.238049\pi\) |
−0.456341 | + | 0.889805i | \(0.650840\pi\) | |||||||
\(822\) | −131.081 | + | 1312.89i | −0.159466 | + | 1.59719i | ||||
\(823\) | −45.6295 | − | 125.366i | −0.0554428 | − | 0.152328i | 0.908879 | − | 0.417059i | \(-0.136939\pi\) |
−0.964322 | + | 0.264731i | \(0.914717\pi\) | |||||||
\(824\) | −104.762 | + | 26.4252i | −0.127139 | + | 0.0320694i | ||||
\(825\) | 905.894 | − | 446.660i | 1.09805 | − | 0.541406i | ||||
\(826\) | 208.496 | − | 29.4963i | 0.252416 | − | 0.0357098i | ||||
\(827\) | −1078.20 | − | 622.498i | −1.30375 | − | 0.752718i | −0.322701 | − | 0.946501i | \(-0.604591\pi\) |
−0.981044 | + | 0.193783i | \(0.937924\pi\) | |||||||
\(828\) | −125.744 | + | 623.442i | −0.151865 | + | 0.752949i | ||||
\(829\) | −494.673 | − | 856.798i | −0.596710 | − | 1.03353i | −0.993303 | − | 0.115538i | \(-0.963141\pi\) |
0.396593 | − | 0.917995i | \(-0.370193\pi\) | |||||||
\(830\) | −5.92631 | + | 4.63886i | −0.00714014 | + | 0.00558899i | ||||
\(831\) | −114.900 | + | 469.416i | −0.138267 | + | 0.564881i | ||||
\(832\) | −119.803 | + | 301.265i | −0.143995 | + | 0.362097i | ||||
\(833\) | −36.4583 | − | 30.5921i | −0.0437674 | − | 0.0367252i | ||||
\(834\) | −1072.18 | − | 516.041i | −1.28558 | − | 0.618754i | ||||
\(835\) | 176.046 | − | 483.682i | 0.210833 | − | 0.579260i | ||||
\(836\) | 2498.30 | + | 170.114i | 2.98839 | + | 0.203486i | ||||
\(837\) | −173.465 | − | 67.4977i | −0.207246 | − | 0.0806425i | ||||
\(838\) | −7.83126 | − | 0.266315i | −0.00934518 | − | 0.000317799i | ||||
\(839\) | 11.0695 | − | 30.4133i | 0.0131937 | − | 0.0362495i | −0.932921 | − | 0.360081i | \(-0.882749\pi\) |
0.946115 | + | 0.323832i | \(0.104971\pi\) | |||||||
\(840\) | 3.04653 | + | 433.124i | 0.00362682 | + | 0.515624i | ||||
\(841\) | 623.260 | + | 522.977i | 0.741094 | + | 0.621852i | ||||
\(842\) | −838.952 | − | 177.524i | −0.996381 | − | 0.210837i | ||||
\(843\) | 176.139 | + | 168.639i | 0.208943 | + | 0.200047i | ||||
\(844\) | −190.269 | − | 260.880i | −0.225438 | − | 0.309100i | ||||
\(845\) | 191.177 | + | 331.128i | 0.226245 | + | 0.391867i | ||||
\(846\) | 9.32918 | + | 981.725i | 0.0110274 | + | 1.16043i | ||||
\(847\) | −1367.43 | − | 789.486i | −1.61444 | − | 0.932096i | ||||
\(848\) | 15.8436 | + | 410.695i | 0.0186835 | + | 0.484310i | ||||
\(849\) | 799.350 | + | 534.188i | 0.941520 | + | 0.629197i | ||||
\(850\) | −163.495 | − | 501.627i | −0.192347 | − | 0.590149i | ||||
\(851\) | 56.2148 | + | 154.449i | 0.0660574 | + | 0.181491i | ||||
\(852\) | −260.316 | − | 200.827i | −0.305535 | − | 0.235713i | ||||
\(853\) | 156.148 | + | 885.558i | 0.183057 | + | 1.03817i | 0.928426 | + | 0.371517i | \(0.121162\pi\) |
−0.745369 | + | 0.666652i | \(0.767727\pi\) | |||||||
\(854\) | 454.614 | − | 729.015i | 0.532335 | − | 0.853648i | ||||
\(855\) | −797.608 | + | 34.7148i | −0.932875 | + | 0.0406021i | ||||
\(856\) | −527.674 | − | 1176.49i | −0.616442 | − | 1.37441i | ||||
\(857\) | 936.816 | − | 786.082i | 1.09313 | − | 0.917249i | 0.0961902 | − | 0.995363i | \(-0.469334\pi\) |
0.996944 | + | 0.0781141i | \(0.0248899\pi\) | |||||||
\(858\) | 399.611 | + | 409.520i | 0.465747 | + | 0.477296i | ||||
\(859\) | −256.657 | − | 45.2555i | −0.298785 | − | 0.0526839i | 0.0222459 | − | 0.999753i | \(-0.492918\pi\) |
−0.321031 | + | 0.947069i | \(0.604029\pi\) | |||||||
\(860\) | −315.652 | + | 328.064i | −0.367037 | + | 0.381470i | ||||
\(861\) | −449.041 | + | 49.1468i | −0.521534 | + | 0.0570811i | ||||
\(862\) | 209.296 | + | 84.3389i | 0.242803 | + | 0.0978410i | ||||
\(863\) | 545.581i | 0.632191i | 0.948727 | + | 0.316095i | \(0.102372\pi\) | ||||
−0.948727 | + | 0.316095i | \(0.897628\pi\) | |||||||
\(864\) | −15.0824 | + | 863.868i | −0.0174564 | + | 0.999848i | ||||
\(865\) | −661.572 | −0.764823 | ||||||||
\(866\) | 122.850 | − | 304.865i | 0.141859 | − | 0.352038i | ||||
\(867\) | −196.138 | − | 86.3190i | −0.226227 | − | 0.0995606i | ||||
\(868\) | −134.440 | − | 129.353i | −0.154884 | − | 0.149024i | ||||
\(869\) | −420.012 | + | 2382.01i | −0.483328 | + | 2.74109i | ||||
\(870\) | −626.741 | − | 176.188i | −0.720392 | − | 0.202515i | ||||
\(871\) | 112.869 | + | 134.512i | 0.129585 | + | 0.154433i | ||||
\(872\) | −489.108 | + | 219.372i | −0.560904 | + | 0.251574i | ||||
\(873\) | −1013.99 | − | 133.636i | −1.16150 | − | 0.153076i | ||||
\(874\) | −997.017 | − | 621.740i | −1.14075 | − | 0.711374i | ||||
\(875\) | −762.189 | + | 134.395i | −0.871074 | + | 0.153594i | ||||
\(876\) | 166.646 | + | 405.303i | 0.190235 | + | 0.462675i | ||||
\(877\) | −555.246 | + | 202.093i | −0.633119 | + | 0.230437i | −0.638588 | − | 0.769548i | \(-0.720481\pi\) |
0.00546906 | + | 0.999985i | \(0.498259\pi\) | |||||||
\(878\) | 1256.66 | − | 409.583i | 1.43128 | − | 0.466496i | ||||
\(879\) | 151.019 | + | 9.90872i | 0.171808 | + | 0.0112727i | ||||
\(880\) | −802.857 | + | 30.9723i | −0.912338 | + | 0.0351958i | ||||
\(881\) | −515.317 | + | 892.555i | −0.584922 | + | 1.01312i | 0.409963 | + | 0.912102i | \(0.365542\pi\) |
−0.994885 | + | 0.101013i | \(0.967792\pi\) | |||||||
\(882\) | −44.1340 | + | 37.7533i | −0.0500386 | + | 0.0428042i | ||||
\(883\) | 1233.98 | − | 712.438i | 1.39748 | − | 0.806838i | 0.403356 | − | 0.915043i | \(-0.367844\pi\) |
0.994129 | + | 0.108205i | \(0.0345104\pi\) | |||||||
\(884\) | 241.484 | − | 176.123i | 0.273172 | − | 0.199234i | ||||
\(885\) | −34.8402 | − | 119.562i | −0.0393675 | − | 0.135098i | ||||
\(886\) | 96.7707 | − | 457.323i | 0.109222 | − | 0.516166i | ||||
\(887\) | 116.721 | − | 139.102i | 0.131590 | − | 0.156823i | −0.696226 | − | 0.717823i | \(-0.745139\pi\) |
0.827816 | + | 0.561000i | \(0.189583\pi\) | |||||||
\(888\) | 113.000 | + | 192.580i | 0.127252 | + | 0.216869i | ||||
\(889\) | −908.818 | − | 330.783i | −1.02229 | − | 0.372084i | ||||
\(890\) | −12.3953 | + | 364.497i | −0.0139274 | + | 0.409547i | ||||
\(891\) | 1381.79 | + | 644.799i | 1.55083 | + | 0.723680i | ||||
\(892\) | 36.5508 | − | 536.784i | 0.0409762 | − | 0.601776i | ||||
\(893\) | −1704.42 | − | 620.356i | −1.90864 | − | 0.694688i | ||||
\(894\) | 745.366 | + | 1092.73i | 0.833743 | + | 1.22230i | ||||
\(895\) | 48.5080 | − | 57.8096i | 0.0541989 | − | 0.0645918i | ||||
\(896\) | −347.170 | + | 793.363i | −0.387466 | + | 0.885450i | ||||
\(897\) | −75.1126 | − | 257.766i | −0.0837376 | − | 0.287364i | ||||
\(898\) | 302.542 | + | 386.508i | 0.336907 | + | 0.430410i | ||||
\(899\) | 242.851 | − | 140.210i | 0.270135 | − | 0.155962i | ||||
\(900\) | −636.605 | + | 96.2408i | −0.707339 | + | 0.106934i | ||||
\(901\) | 189.448 | − | 328.134i | 0.210265 | − | 0.364189i | ||||
\(902\) | −117.375 | − | 829.672i | −0.130128 | − | 0.919814i | ||||
\(903\) | 864.152 | + | 56.6990i | 0.956979 | + | 0.0627896i | ||||
\(904\) | −28.0419 | − | 111.172i | −0.0310198 | − | 0.122978i | ||||
\(905\) | 672.998 | − | 244.951i | 0.743644 | − | 0.270664i | ||||
\(906\) | −259.701 | − | 575.217i | −0.286646 | − | 0.634897i | ||||
\(907\) | −576.345 | + | 101.625i | −0.635441 | + | 0.112045i | −0.482083 | − | 0.876125i | \(-0.660120\pi\) |
−0.153358 | + | 0.988171i | \(0.549009\pi\) | |||||||
\(908\) | −1015.24 | − | 682.094i | −1.11810 | − | 0.751204i | ||||
\(909\) | 584.210 | + | 1410.96i | 0.642695 | + | 1.55221i | ||||
\(910\) | −85.9895 | − | 161.367i | −0.0944939 | − | 0.177326i | ||||
\(911\) | −88.0696 | − | 104.957i | −0.0966735 | − | 0.115211i | 0.715539 | − | 0.698573i | \(-0.246181\pi\) |
−0.812212 | + | 0.583362i | \(0.801737\pi\) | |||||||
\(912\) | −1484.70 | − | 586.176i | −1.62796 | − | 0.642737i | ||||
\(913\) | −4.61141 | + | 26.1526i | −0.00505083 | + | 0.0286447i | ||||
\(914\) | 610.620 | − | 679.409i | 0.668075 | − | 0.743336i | ||||
\(915\) | −465.066 | − | 204.672i | −0.508268 | − | 0.223685i | ||||
\(916\) | 810.005 | + | 358.867i | 0.884285 | + | 0.391776i | ||||
\(917\) | −527.947 | −0.575733 | ||||||||
\(918\) | 436.251 | − | 666.421i | 0.475219 | − | 0.725949i | ||||
\(919\) | − | 654.910i | − | 0.712633i | −0.934365 | − | 0.356316i | \(-0.884033\pi\) | ||
0.934365 | − | 0.356316i | \(-0.115967\pi\) | |||||||
\(920\) | 339.301 | + | 164.339i | 0.368806 | + | 0.178630i | ||||
\(921\) | −375.722 | + | 41.1221i | −0.407950 | + | 0.0446494i | ||||
\(922\) | 872.209 | − | 970.466i | 0.945997 | − | 1.05257i | ||||
\(923\) | 136.686 | + | 24.1014i | 0.148089 | + | 0.0261121i | ||||
\(924\) | 1029.60 | + | 1129.51i | 1.11429 | + | 1.22241i | ||||
\(925\) | −127.461 | + | 106.952i | −0.137795 | + | 0.115624i | ||||
\(926\) | 225.086 | + | 422.395i | 0.243074 | + | 0.456150i | ||||
\(927\) | 56.1400 | − | 107.808i | 0.0605609 | − | 0.116298i | ||||
\(928\) | −1000.94 | − | 832.130i | −1.07860 | − | 0.896692i | ||||
\(929\) | 78.7080 | + | 446.375i | 0.0847234 | + | 0.480490i | 0.997416 | + | 0.0718432i | \(0.0228881\pi\) |
−0.912693 | + | 0.408647i | \(0.866001\pi\) | |||||||
\(930\) | −64.3883 | + | 89.6005i | −0.0692348 | + | 0.0963446i | ||||
\(931\) | −36.6984 | − | 100.828i | −0.0394183 | − | 0.108301i | ||||
\(932\) | −323.774 | + | 93.4809i | −0.347397 | + | 0.100301i | ||||
\(933\) | 572.000 | + | 382.255i | 0.613076 | + | 0.409705i | ||||
\(934\) | 26.3816 | + | 186.479i | 0.0282458 | + | 0.199657i | ||||
\(935\) | 641.461 | + | 370.348i | 0.686055 | + | 0.396094i | ||||
\(936\) | −163.594 | − | 325.992i | −0.174780 | − | 0.348283i | ||||
\(937\) | −245.002 | − | 424.356i | −0.261475 | − | 0.452888i | 0.705159 | − | 0.709049i | \(-0.250875\pi\) |
−0.966634 | + | 0.256161i | \(0.917542\pi\) | |||||||
\(938\) | 289.096 | + | 369.331i | 0.308205 | + | 0.393743i | ||||
\(939\) | −640.827 | − | 613.542i | −0.682457 | − | 0.653400i | ||||
\(940\) | 564.941 | + | 139.760i | 0.601001 | + | 0.148681i | ||||
\(941\) | 251.005 | + | 210.618i | 0.266743 | + | 0.223824i | 0.766342 | − | 0.642433i | \(-0.222075\pi\) |
−0.499599 | + | 0.866257i | \(0.666519\pi\) | |||||||
\(942\) | 1594.98 | − | 119.882i | 1.69318 | − | 0.127263i | ||||
\(943\) | −134.477 | + | 369.472i | −0.142605 | + | 0.391805i | ||||
\(944\) | 33.7522 | − | 246.693i | 0.0357544 | − | 0.261327i | ||||
\(945\) | −366.288 | − | 321.359i | −0.387606 | − | 0.340063i | ||||
\(946\) | −54.5977 | + | 1605.50i | −0.0577143 | + | 1.69714i | ||||
\(947\) | −422.437 | + | 1160.64i | −0.446079 | + | 1.22559i | 0.489353 | + | 0.872086i | \(0.337233\pi\) |
−0.935432 | + | 0.353507i | \(0.884989\pi\) | |||||||
\(948\) | 715.500 | − | 1365.76i | 0.754747 | − | 1.44068i | ||||
\(949\) | −141.716 | − | 118.914i | −0.149332 | − | 0.125304i | ||||
\(950\) | 246.245 | − | 1163.71i | 0.259205 | − | 1.22496i | ||||
\(951\) | −134.597 | + | 549.891i | −0.141532 | + | 0.578224i | ||||
\(952\) | 660.640 | − | 448.245i | 0.693950 | − | 0.470845i | ||||
\(953\) | 25.7103 | + | 44.5315i | 0.0269782 | + | 0.0467277i | 0.879199 | − | 0.476454i | \(-0.158078\pi\) |
−0.852221 | + | 0.523182i | \(0.824745\pi\) | |||||||
\(954\) | −357.008 | − | 293.830i | −0.374223 | − | 0.307998i | ||||
\(955\) | −72.6954 | − | 41.9707i | −0.0761209 | − | 0.0439484i | ||||
\(956\) | 495.170 | − | 52.9587i | 0.517960 | − | 0.0553962i | ||||
\(957\) | −2060.39 | + | 1015.90i | −2.15297 | + | 1.06154i | ||||
\(958\) | −652.196 | + | 212.570i | −0.680789 | + | 0.221889i | ||||
\(959\) | −508.848 | − | 1398.05i | −0.530603 | − | 1.45782i | ||||
\(960\) | 493.677 | + | 136.353i | 0.514247 | + | 0.142034i | ||||
\(961\) | 158.623 | + | 899.597i | 0.165061 | + | 0.936105i | ||||
\(962\) | −79.9824 | − | 49.8771i | −0.0831417 | − | 0.0518472i | ||||
\(963\) | 1383.39 | + | 436.389i | 1.43654 | + | 0.453156i | ||||
\(964\) | 267.169 | + | 545.248i | 0.277146 | + | 0.565610i | ||||
\(965\) | 476.141 | − | 399.530i | 0.493411 | − | 0.414021i | ||||
\(966\) | −177.116 | − | 694.934i | −0.183350 | − | 0.719394i | ||||
\(967\) | 74.2039 | + | 13.0841i | 0.0767362 | + | 0.0135307i | 0.211884 | − | 0.977295i | \(-0.432040\pi\) |
−0.135148 | + | 0.990825i | \(0.543151\pi\) | |||||||
\(968\) | −1339.49 | + | 1300.64i | −1.38377 | + | 1.34364i | ||||
\(969\) | 870.056 | + | 1186.78i | 0.897890 | + | 1.22474i | ||||
\(970\) | −226.599 | + | 562.330i | −0.233607 | + | 0.579722i | ||||
\(971\) | − | 1155.37i | − | 1.18988i | −0.803770 | − | 0.594940i | \(-0.797176\pi\) | ||
0.803770 | − | 0.594940i | \(-0.202824\pi\) | |||||||
\(972\) | −714.739 | − | 658.735i | −0.735329 | − | 0.677711i | ||||
\(973\) | 1341.73 | 1.37896 | ||||||||
\(974\) | −828.116 | − | 333.702i | −0.850222 | − | 0.342609i | ||||
\(975\) | 219.200 | − | 160.701i | 0.224821 | − | 0.164822i | ||||
\(976\) | −682.524 | − | 752.475i | −0.699307 | − | 0.770978i | ||||
\(977\) | 117.331 | − | 665.415i | 0.120093 | − | 0.681080i | −0.864009 | − | 0.503476i | \(-0.832054\pi\) |
0.984102 | − | 0.177604i | \(-0.0568346\pi\) | |||||||
\(978\) | −1042.67 | + | 265.742i | −1.06613 | + | 0.271720i | ||||
\(979\) | 827.205 | + | 985.824i | 0.844949 | + | 1.00697i | ||||
\(980\) | 15.1486 | + | 30.9158i | 0.0154578 | + | 0.0315468i | ||||
\(981\) | 181.422 | − | 575.121i | 0.184936 | − | 0.586260i | ||||
\(982\) | 6.34605 | − | 10.1765i | 0.00646237 | − | 0.0103630i | ||||
\(983\) | 355.871 | − | 62.7497i | 0.362026 | − | 0.0638349i | 0.0103231 | − | 0.999947i | \(-0.496714\pi\) |
0.351702 | + | 0.936112i | \(0.385603\pi\) | |||||||
\(984\) | −89.0502 | + | 526.664i | −0.0904982 | + | 0.535228i | ||||
\(985\) | −631.942 | + | 230.008i | −0.641565 | + | 0.233511i | ||||
\(986\) | 371.858 | + | 1140.92i | 0.377138 | + | 1.15712i | ||||
\(987\) | −489.565 | − | 992.911i | −0.496013 | − | 1.00599i | ||||
\(988\) | 670.027 | − | 71.6598i | 0.678165 | − | 0.0725302i | ||||
\(989\) | 376.892 | − | 652.796i | 0.381084 | − | 0.660057i | ||||
\(990\) | 574.401 | − | 697.907i | 0.580203 | − | 0.704956i | ||||
\(991\) | 1393.22 | − | 804.374i | 1.40587 | − | 0.811679i | 0.410883 | − | 0.911688i | \(-0.365221\pi\) |
0.994987 | + | 0.100009i | \(0.0318873\pi\) | |||||||
\(992\) | −190.543 | + | 111.173i | −0.192079 | + | 0.112069i | ||||
\(993\) | 517.480 | + | 126.664i | 0.521128 | + | 0.127557i | ||||
\(994\) | 362.701 | + | 76.7484i | 0.364890 | + | 0.0772117i | ||||
\(995\) | −511.500 | + | 609.582i | −0.514070 | + | 0.612645i | ||||
\(996\) | 7.85563 | − | 14.9950i | 0.00788718 | − | 0.0150552i | ||||
\(997\) | −833.657 | − | 303.426i | −0.836165 | − | 0.304339i | −0.111779 | − | 0.993733i | \(-0.535655\pi\) |
−0.724387 | + | 0.689394i | \(0.757877\pi\) | |||||||
\(998\) | −1605.83 | − | 54.6090i | −1.60905 | − | 0.0547184i | ||||
\(999\) | −246.358 | − | 49.0564i | −0.246605 | − | 0.0491055i |
(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 | 108.3.j.a.31.23 | yes | 204 | |
3.2 | odd | 2 | 324.3.j.a.307.12 | 204 | |||
4.3 | odd | 2 | inner | 108.3.j.a.31.15 | yes | 204 | |
12.11 | even | 2 | 324.3.j.a.307.20 | 204 | |||
27.7 | even | 9 | inner | 108.3.j.a.7.15 | ✓ | 204 | |
27.20 | odd | 18 | 324.3.j.a.19.20 | 204 | |||
108.7 | odd | 18 | inner | 108.3.j.a.7.23 | yes | 204 | |
108.47 | even | 18 | 324.3.j.a.19.12 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.15 | ✓ | 204 | 27.7 | even | 9 | inner | |
108.3.j.a.7.23 | yes | 204 | 108.7 | odd | 18 | inner | |
108.3.j.a.31.15 | yes | 204 | 4.3 | odd | 2 | inner | |
108.3.j.a.31.23 | yes | 204 | 1.1 | even | 1 | trivial | |
324.3.j.a.19.12 | 204 | 108.47 | even | 18 | |||
324.3.j.a.19.20 | 204 | 27.20 | odd | 18 | |||
324.3.j.a.307.12 | 204 | 3.2 | odd | 2 | |||
324.3.j.a.307.20 | 204 | 12.11 | even | 2 |