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 | 31.15 | ||
Character | \(\chi\) | \(=\) | 108.31 |
Dual form | 108.3.j.a.7.15 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.619770 | + | 1.90155i | −0.309885 | + | 0.950774i | ||||
\(3\) | 2.41946 | − | 1.77376i | 0.806485 | − | 0.591254i | ||||
\(4\) | −3.23177 | − | 2.35705i | −0.807942 | − | 0.589262i | ||||
\(5\) | 0.463207 | − | 2.62698i | 0.0926415 | − | 0.525396i | −0.902803 | − | 0.430054i | \(-0.858494\pi\) |
0.995445 | − | 0.0953418i | \(-0.0303944\pi\) | |||||||
\(6\) | 1.87339 | + | 5.70004i | 0.312232 | + | 0.950006i | ||||
\(7\) | 4.34885 | + | 5.18275i | 0.621264 | + | 0.740393i | 0.981287 | − | 0.192550i | \(-0.0616757\pi\) |
−0.360023 | + | 0.932943i | \(0.617231\pi\) | |||||||
\(8\) | 6.48499 | − | 4.68454i | 0.810624 | − | 0.585567i | ||||
\(9\) | 2.70753 | − | 8.58308i | 0.300837 | − | 0.953676i | ||||
\(10\) | 4.70825 | + | 2.50894i | 0.470825 | + | 0.250894i | ||||
\(11\) | 18.5390 | − | 3.26893i | 1.68537 | − | 0.297176i | 0.752821 | − | 0.658225i | \(-0.228693\pi\) |
0.932547 | + | 0.361049i | \(0.117581\pi\) | |||||||
\(12\) | −12.0000 | + | 0.0296259i | −0.999997 | + | 0.00246882i | ||||
\(13\) | −4.76031 | + | 1.73261i | −0.366177 | + | 0.133278i | −0.518554 | − | 0.855045i | \(-0.673530\pi\) |
0.152377 | + | 0.988322i | \(0.451307\pi\) | |||||||
\(14\) | −12.5505 | + | 5.05742i | −0.896467 | + | 0.361245i | ||||
\(15\) | −3.53893 | − | 7.17748i | −0.235929 | − | 0.478499i | ||||
\(16\) | 4.88867 | + | 15.2349i | 0.305542 | + | 0.952179i | ||||
\(17\) | 7.37511 | − | 12.7741i | 0.433830 | − | 0.751416i | −0.563369 | − | 0.826205i | \(-0.690495\pi\) |
0.997199 | + | 0.0747894i | \(0.0238284\pi\) | |||||||
\(18\) | 14.6431 | + | 10.4680i | 0.813505 | + | 0.581557i | ||||
\(19\) | −28.7994 | + | 16.6273i | −1.51576 | + | 0.875123i | −0.515928 | + | 0.856632i | \(0.672553\pi\) |
−0.999829 | + | 0.0184912i | \(0.994114\pi\) | |||||||
\(20\) | −7.68889 | + | 7.39799i | −0.384445 | + | 0.369900i | ||||
\(21\) | 19.7148 | + | 4.82562i | 0.938801 | + | 0.229791i | ||||
\(22\) | −5.27392 | + | 37.2789i | −0.239723 | + | 1.69449i | ||||
\(23\) | −11.3558 | + | 13.5334i | −0.493732 | + | 0.588407i | −0.954163 | − | 0.299289i | \(-0.903251\pi\) |
0.460430 | + | 0.887696i | \(0.347695\pi\) | |||||||
\(24\) | 7.38089 | − | 22.8369i | 0.307537 | − | 0.951536i | ||||
\(25\) | 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 | \(0.858519\pi\) | |||||||
\(30\) | 15.8416 | − | 2.28106i | 0.528055 | − | 0.0760352i | ||||
\(31\) | 4.43128 | − | 5.28100i | 0.142945 | − | 0.170355i | −0.689822 | − | 0.723979i | \(-0.742311\pi\) |
0.832767 | + | 0.553624i | \(0.186756\pi\) | |||||||
\(32\) | −31.9997 | − | 0.146076i | −0.999990 | − | 0.00456489i | ||||
\(33\) | 39.0561 | − | 40.7929i | 1.18352 | − | 1.23615i | ||||
\(34\) | 19.7196 | + | 21.9411i | 0.579989 | + | 0.645327i | ||||
\(35\) | 15.6294 | − | 9.02364i | 0.446555 | − | 0.257818i | ||||
\(36\) | −28.9808 | + | 21.3568i | −0.805023 | + | 0.593244i | ||||
\(37\) | −4.65176 | + | 8.05708i | −0.125723 | + | 0.217759i | −0.922015 | − | 0.387153i | \(-0.873458\pi\) |
0.796292 | + | 0.604912i | \(0.206792\pi\) | |||||||
\(38\) | −13.7687 | − | 65.0686i | −0.362333 | − | 1.71233i | ||||
\(39\) | −8.44411 | + | 12.6356i | −0.216516 | + | 0.323991i | ||||
\(40\) | −9.30229 | − | 19.2059i | −0.232557 | − | 0.480146i | ||||
\(41\) | −20.9136 | + | 7.61194i | −0.510089 | + | 0.185657i | −0.584226 | − | 0.811591i | \(-0.698602\pi\) |
0.0741374 | + | 0.997248i | \(0.476380\pi\) | |||||||
\(42\) | −21.3948 | + | 34.4979i | −0.509400 | + | 0.821379i | ||||
\(43\) | −42.0191 | + | 7.40910i | −0.977188 | + | 0.172305i | −0.639363 | − | 0.768905i | \(-0.720802\pi\) |
−0.337824 | + | 0.941209i | \(0.609691\pi\) | |||||||
\(44\) | −67.6189 | − | 33.1329i | −1.53679 | − | 0.753021i | ||||
\(45\) | −21.2934 | − | 11.0884i | −0.473187 | − | 0.246408i | ||||
\(46\) | −18.6963 | − | 29.9813i | −0.406442 | − | 0.651767i | ||||
\(47\) | 35.0594 | + | 41.7822i | 0.745945 | + | 0.888982i | 0.996873 | − | 0.0790235i | \(-0.0251802\pi\) |
−0.250928 | + | 0.968006i | \(0.580736\pi\) | |||||||
\(48\) | 38.8509 | + | 28.1887i | 0.809395 | + | 0.587265i | ||||
\(49\) | 0.560291 | − | 3.17757i | 0.0114345 | − | 0.0648483i | ||||
\(50\) | −22.0472 | + | 28.1661i | −0.440944 | + | 0.563322i | ||||
\(51\) | −4.81442 | − | 43.9880i | −0.0944004 | − | 0.862510i | ||||
\(52\) | 19.4681 | + | 5.62087i | 0.374386 | + | 0.108094i | ||||
\(53\) | 25.6875 | 0.484670 | 0.242335 | − | 0.970193i | \(-0.422087\pi\) | ||||
0.242335 | + | 0.970193i | \(0.422087\pi\) | |||||||
\(54\) | 53.9961 | − | 0.646439i | 0.999928 | − | 0.0119711i | ||||
\(55\) | − | 50.2159i | − | 0.913016i | ||||||
\(56\) | 52.4810 | + | 13.2378i | 0.937161 | + | 0.236389i | ||||
\(57\) | −40.1859 | + | 91.3124i | −0.705016 | + | 1.60197i | ||||
\(58\) | 50.1449 | − | 64.0619i | 0.864567 | − | 1.10452i | ||||
\(59\) | 15.3255 | + | 2.70230i | 0.259755 | + | 0.0458018i | 0.302009 | − | 0.953305i | \(-0.402343\pi\) |
−0.0422541 | + | 0.999107i | \(0.513454\pi\) | |||||||
\(60\) | −5.48065 | + | 31.5374i | −0.0913441 | + | 0.525623i | ||||
\(61\) | −48.6391 | + | 40.8131i | −0.797363 | + | 0.669067i | −0.947556 | − | 0.319590i | \(-0.896455\pi\) |
0.150193 | + | 0.988657i | \(0.452010\pi\) | |||||||
\(62\) | 7.29569 | + | 11.6993i | 0.117672 | + | 0.188698i | ||||
\(63\) | 56.2586 | − | 23.2941i | 0.892994 | − | 0.369747i | ||||
\(64\) | 20.1102 | − | 60.7584i | 0.314222 | − | 0.949349i | ||||
\(65\) | 2.34652 | + | 13.3078i | 0.0361003 | + | 0.204735i | ||||
\(66\) | 53.3639 | + | 99.5492i | 0.808544 | + | 1.50832i | ||||
\(67\) | 11.8552 | + | 32.5718i | 0.176943 | + | 0.486147i | 0.996182 | − | 0.0873060i | \(-0.0278258\pi\) |
−0.819239 | + | 0.573453i | \(0.805604\pi\) | |||||||
\(68\) | −53.9437 | + | 23.8994i | −0.793290 | + | 0.351461i | ||||
\(69\) | −3.46997 | + | 52.8860i | −0.0502894 | + | 0.766463i | ||||
\(70\) | 7.47225 | + | 35.3127i | 0.106746 | + | 0.504467i | ||||
\(71\) | 23.7276 | + | 13.6991i | 0.334192 | + | 0.192946i | 0.657701 | − | 0.753279i | \(-0.271529\pi\) |
−0.323509 | + | 0.946225i | \(0.604863\pi\) | |||||||
\(72\) | −22.6495 | − | 68.3447i | −0.314576 | − | 0.949232i | ||||
\(73\) | 18.2594 | + | 31.6262i | 0.250129 | + | 0.433235i | 0.963561 | − | 0.267489i | \(-0.0861938\pi\) |
−0.713432 | + | 0.700724i | \(0.752860\pi\) | |||||||
\(74\) | −12.4379 | − | 13.8391i | −0.168080 | − | 0.187015i | ||||
\(75\) | 51.5108 | − | 15.0102i | 0.686811 | − | 0.200136i | ||||
\(76\) | 132.264 | + | 14.1458i | 1.74032 | + | 0.186129i | ||||
\(77\) | 97.5656 | + | 81.8672i | 1.26709 | + | 1.06321i | ||||
\(78\) | −18.7938 | − | 23.8881i | −0.240947 | − | 0.306257i | ||||
\(79\) | −43.9448 | + | 120.737i | −0.556263 | + | 1.52832i | 0.268752 | + | 0.963209i | \(0.413389\pi\) |
−0.825015 | + | 0.565111i | \(0.808833\pi\) | |||||||
\(80\) | 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 | −0.942565 | − | 0.334022i | \(-0.891594\pi\) |
0.936752 | + | 0.349993i | \(0.113816\pi\) | |||||||
\(84\) | −52.3396 | − | 62.0640i | −0.623090 | − | 0.738857i | ||||
\(85\) | −30.1410 | − | 25.2913i | −0.354600 | − | 0.297545i | ||||
\(86\) | 11.9534 | − | 84.4932i | 0.138993 | − | 0.982479i | ||||
\(87\) | −117.158 | + | 34.1397i | −1.34664 | + | 0.392410i | ||||
\(88\) | 104.912 | − | 108.046i | 1.19218 | − | 1.22779i | ||||
\(89\) | −34.1806 | − | 59.2025i | −0.384052 | − | 0.665197i | 0.607585 | − | 0.794254i | \(-0.292138\pi\) |
−0.991637 | + | 0.129057i | \(0.958805\pi\) | |||||||
\(90\) | 34.2821 | − | 33.6182i | 0.380912 | − | 0.373536i | ||||
\(91\) | −29.6815 | − | 17.1366i | −0.326171 | − | 0.188315i | ||||
\(92\) | 68.5982 | − | 16.9705i | 0.745633 | − | 0.184462i | ||||
\(93\) | 1.35405 | − | 20.6372i | 0.0145597 | − | 0.221905i | ||||
\(94\) | −101.180 | + | 40.7718i | −1.07638 | + | 0.433742i | ||||
\(95\) | 30.3396 | + | 83.3573i | 0.319364 | + | 0.877446i | ||||
\(96\) | −77.6809 | + | 56.4064i | −0.809176 | + | 0.587567i | ||||
\(97\) | −19.7333 | − | 111.913i | −0.203436 | − | 1.15375i | −0.899881 | − | 0.436135i | \(-0.856347\pi\) |
0.696445 | − | 0.717610i | \(-0.254764\pi\) | |||||||
\(98\) | 5.69505 | + | 3.03478i | 0.0581127 | + | 0.0309672i | ||||
\(99\) | 22.1375 | − | 167.973i | 0.223611 | − | 1.69670i | ||||
\(100\) | −39.8950 | − | 59.3804i | −0.398950 | − | 0.593804i | ||||
\(101\) | −129.982 | + | 109.068i | −1.28695 | + | 1.07988i | −0.294710 | + | 0.955587i | \(0.595223\pi\) |
−0.992245 | + | 0.124296i | \(0.960333\pi\) | |||||||
\(102\) | 86.6291 | + | 18.1076i | 0.849305 | + | 0.177526i | ||||
\(103\) | −13.3003 | − | 2.34520i | −0.129129 | − | 0.0227689i | 0.108710 | − | 0.994073i | \(-0.465328\pi\) |
−0.237839 | + | 0.971305i | \(0.576439\pi\) | |||||||
\(104\) | −22.7541 | + | 33.5358i | −0.218789 | + | 0.322460i | ||||
\(105\) | 21.8089 | − | 49.5552i | 0.207703 | − | 0.471954i | ||||
\(106\) | −15.9204 | + | 48.8461i | −0.150192 | + | 0.460812i | ||||
\(107\) | − | 161.176i | − | 1.50632i | −0.657838 | − | 0.753159i | \(-0.728529\pi\) | ||
0.657838 | − | 0.753159i | \(-0.271471\pi\) | |||||||
\(108\) | −32.2360 | + | 103.077i | −0.298481 | + | 0.954416i | ||||
\(109\) | 67.0064 | 0.614738 | 0.307369 | − | 0.951590i | \(-0.400551\pi\) | ||||
0.307369 | + | 0.951590i | \(0.400551\pi\) | |||||||
\(110\) | 95.4879 | + | 31.1223i | 0.868072 | + | 0.282930i | ||||
\(111\) | 3.03663 | + | 27.7449i | 0.0273571 | + | 0.249954i | ||||
\(112\) | −57.6985 | + | 91.5908i | −0.515165 | + | 0.817775i | ||||
\(113\) | −2.48868 | + | 14.1140i | −0.0220237 | + | 0.124903i | −0.993837 | − | 0.110847i | \(-0.964644\pi\) |
0.971814 | + | 0.235750i | \(0.0757547\pi\) | |||||||
\(114\) | −148.729 | − | 133.008i | −1.30464 | − | 1.16674i | ||||
\(115\) | 30.2918 | + | 36.1003i | 0.263407 | + | 0.313916i | ||||
\(116\) | 90.7384 | + | 135.057i | 0.782228 | + | 1.16428i | ||||
\(117\) | 1.98247 | + | 45.5492i | 0.0169441 | + | 0.389309i | ||||
\(118\) | −14.6369 | + | 27.4674i | −0.124041 | + | 0.232775i | ||||
\(119\) | 98.2781 | − | 17.3291i | 0.825866 | − | 0.145623i | ||||
\(120\) | −56.5731 | − | 29.9676i | −0.471443 | − | 0.249730i | ||||
\(121\) | 219.307 | − | 79.8214i | 1.81246 | − | 0.659681i | ||||
\(122\) | −47.4629 | − | 117.784i | −0.389041 | − | 0.965446i | ||||
\(123\) | −37.0978 | + | 55.5126i | −0.301608 | + | 0.451322i | ||||
\(124\) | −26.7684 | + | 6.62223i | −0.215875 | + | 0.0534051i | ||||
\(125\) | 57.1972 | − | 99.0685i | 0.457578 | − | 0.792548i | ||||
\(126\) | 9.42733 | + | 121.415i | 0.0748201 | + | 0.963615i | ||||
\(127\) | −123.798 | + | 71.4751i | −0.974791 | + | 0.562796i | −0.900693 | − | 0.434455i | \(-0.856941\pi\) |
−0.0740975 | + | 0.997251i | \(0.523608\pi\) | |||||||
\(128\) | 103.071 | + | 75.8968i | 0.805244 | + | 0.592944i | ||||
\(129\) | −88.5213 | + | 92.4579i | −0.686211 | + | 0.716728i | ||||
\(130\) | −26.7597 | − | 3.78575i | −0.205844 | − | 0.0291211i | ||||
\(131\) | −50.1592 | + | 59.7775i | −0.382895 | + | 0.456316i | −0.922726 | − | 0.385457i | \(-0.874044\pi\) |
0.539831 | + | 0.841774i | \(0.318488\pi\) | |||||||
\(132\) | −222.371 | + | 39.7763i | −1.68463 | + | 0.301336i | ||||
\(133\) | −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 | \(0.314580\pi\) | |||||||
\(138\) | −98.4146 | − | 39.3755i | −0.713149 | − | 0.285329i | ||||
\(139\) | 127.475 | − | 151.919i | 0.917089 | − | 1.09294i | −0.0782911 | − | 0.996931i | \(-0.524946\pi\) |
0.995380 | − | 0.0960135i | \(-0.0306092\pi\) | |||||||
\(140\) | −71.7798 | − | 7.67690i | −0.512713 | − | 0.0548350i | ||||
\(141\) | 158.936 | + | 38.9030i | 1.12721 | + | 0.275908i | ||||
\(142\) | −40.7553 | + | 36.6289i | −0.287009 | + | 0.257950i | ||||
\(143\) | −82.5878 | + | 47.6821i | −0.577537 | + | 0.333441i | ||||
\(144\) | 143.998 | − | 0.711019i | 0.999988 | − | 0.00493763i | ||||
\(145\) | −54.2529 | + | 93.9688i | −0.374158 | + | 0.648060i | ||||
\(146\) | −71.4553 | + | 15.1201i | −0.489420 | + | 0.103563i | ||||
\(147\) | −4.28065 | − | 8.68181i | −0.0291201 | − | 0.0590599i | ||||
\(148\) | 34.0243 | − | 15.0742i | 0.229894 | − | 0.101853i | ||||
\(149\) | 207.161 | − | 75.4005i | 1.39034 | − | 0.506044i | 0.465046 | − | 0.885286i | \(-0.346038\pi\) |
0.925297 | + | 0.379243i | \(0.123816\pi\) | |||||||
\(150\) | −3.38225 | + | 107.253i | −0.0225484 | + | 0.715021i | ||||
\(151\) | 103.590 | − | 18.2656i | 0.686023 | − | 0.120964i | 0.180237 | − | 0.983623i | \(-0.442314\pi\) |
0.505786 | + | 0.862659i | \(0.331202\pi\) | |||||||
\(152\) | −108.872 | + | 242.740i | −0.716266 | + | 1.59697i | ||||
\(153\) | −89.6726 | − | 97.8874i | −0.586095 | − | 0.639787i | ||||
\(154\) | −216.143 | + | 134.787i | −1.40352 | + | 0.875238i | ||||
\(155\) | −11.8205 | − | 14.0871i | −0.0762611 | − | 0.0908845i | ||||
\(156\) | 57.0722 | − | 20.9323i | 0.365847 | − | 0.134181i | ||||
\(157\) | 46.2911 | − | 262.530i | 0.294848 | − | 1.67216i | −0.372973 | − | 0.927842i | \(-0.621662\pi\) |
0.667820 | − | 0.744322i | \(-0.267227\pi\) | |||||||
\(158\) | −202.352 | − | 158.392i | −1.28071 | − | 1.00248i | ||||
\(159\) | 62.1498 | − | 45.5636i | 0.390879 | − | 0.286563i | ||||
\(160\) | −15.2062 | + | 83.9948i | −0.0950389 | + | 0.524968i | ||||
\(161\) | −119.525 | −0.742391 | ||||||||
\(162\) | 129.495 | − | 97.3404i | 0.799349 | − | 0.600867i | ||||
\(163\) | − | 179.334i | − | 1.10021i | −0.835096 | − | 0.550104i | \(-0.814588\pi\) | ||
0.835096 | − | 0.550104i | \(-0.185412\pi\) | |||||||
\(164\) | 85.5298 | + | 24.6944i | 0.521523 | + | 0.150575i | ||||
\(165\) | −89.0711 | − | 121.495i | −0.539825 | − | 0.736334i | ||||
\(166\) | −2.22167 | − | 1.73903i | −0.0133835 | − | 0.0104761i | ||||
\(167\) | −190.029 | − | 33.5073i | −1.13790 | − | 0.200642i | −0.427213 | − | 0.904151i | \(-0.640505\pi\) |
−0.710687 | + | 0.703508i | \(0.751616\pi\) | |||||||
\(168\) | 150.456 | − | 61.0607i | 0.895573 | − | 0.363457i | ||||
\(169\) | −109.803 | + | 92.1356i | −0.649721 | + | 0.545181i | ||||
\(170\) | 66.7732 | − | 41.6398i | 0.392783 | − | 0.244940i | ||||
\(171\) | 64.7386 | + | 292.207i | 0.378588 | + | 1.70881i | ||||
\(172\) | 153.260 | + | 75.0964i | 0.891044 | + | 0.436607i | ||||
\(173\) | −43.0667 | − | 244.244i | −0.248941 | − | 1.41181i | −0.811160 | − | 0.584825i | \(-0.801163\pi\) |
0.562219 | − | 0.826988i | \(-0.309948\pi\) | |||||||
\(174\) | 7.69270 | − | 243.940i | 0.0442109 | − | 1.40195i | ||||
\(175\) | 41.3841 | + | 113.702i | 0.236480 | + | 0.649724i | ||||
\(176\) | 140.433 | + | 266.459i | 0.797915 | + | 1.51397i | ||||
\(177\) | 41.8727 | − | 20.6457i | 0.236569 | − | 0.116643i | ||||
\(178\) | 133.761 | − | 28.3041i | 0.751464 | − | 0.159012i | ||||
\(179\) | −24.5003 | − | 14.1453i | −0.136873 | − | 0.0790238i | 0.430000 | − | 0.902829i | \(-0.358514\pi\) |
−0.566873 | + | 0.823805i | \(0.691847\pi\) | |||||||
\(180\) | 42.6797 | + | 86.0247i | 0.237109 | + | 0.477915i | ||||
\(181\) | 134.243 | + | 232.516i | 0.741676 | + | 1.28462i | 0.951732 | + | 0.306931i | \(0.0993019\pi\) |
−0.210056 | + | 0.977689i | \(0.567365\pi\) | |||||||
\(182\) | 50.9819 | − | 45.8201i | 0.280120 | − | 0.251759i | ||||
\(183\) | −45.2875 | + | 185.020i | −0.247473 | + | 1.01104i | ||||
\(184\) | −10.2450 | + | 140.961i | −0.0556792 | + | 0.766091i | ||||
\(185\) | 19.0111 | + | 15.9522i | 0.102762 | + | 0.0862280i | ||||
\(186\) | 38.4034 | + | 15.3651i | 0.206470 | + | 0.0826081i | ||||
\(187\) | 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 | −0.964674 | − | 0.263448i | \(-0.915140\pi\) |
0.908324 | + | 0.418267i | \(0.137362\pi\) | |||||||
\(192\) | −59.1152 | − | 182.673i | −0.307892 | − | 0.951421i | ||||
\(193\) | 178.497 | + | 149.777i | 0.924855 | + | 0.776045i | 0.974886 | − | 0.222703i | \(-0.0714879\pi\) |
−0.0500319 | + | 0.998748i | \(0.515932\pi\) | |||||||
\(194\) | 225.039 | + | 31.8367i | 1.15999 | + | 0.164107i | ||||
\(195\) | 29.2822 | + | 28.0354i | 0.150165 | + | 0.143771i | ||||
\(196\) | −9.30040 | + | 8.94853i | −0.0474510 | + | 0.0456558i | ||||
\(197\) | −126.054 | − | 218.332i | −0.639867 | − | 1.10828i | −0.985462 | − | 0.169898i | \(-0.945656\pi\) |
0.345595 | − | 0.938384i | \(-0.387677\pi\) | |||||||
\(198\) | 305.688 | + | 146.200i | 1.54388 | + | 0.738384i | ||||
\(199\) | 258.347 | + | 149.157i | 1.29823 | + | 0.749531i | 0.980098 | − | 0.198517i | \(-0.0636124\pi\) |
0.318128 | + | 0.948048i | \(0.396946\pi\) | |||||||
\(200\) | 137.640 | − | 39.0601i | 0.688202 | − | 0.195300i | ||||
\(201\) | 86.4578 | + | 57.7778i | 0.430138 | + | 0.287452i | ||||
\(202\) | −126.839 | − | 314.765i | −0.627917 | − | 1.55824i | ||||
\(203\) | −94.1252 | − | 258.607i | −0.463671 | − | 1.27393i | ||||
\(204\) | −88.1226 | + | 153.507i | −0.431974 | + | 0.752485i | ||||
\(205\) | 10.3091 | + | 58.4656i | 0.0502881 | + | 0.285198i | ||||
\(206\) | 12.7026 | − | 23.8377i | 0.0616633 | − | 0.115717i | ||||
\(207\) | 85.4117 | + | 134.110i | 0.412617 | + | 0.647875i | ||||
\(208\) | −49.6676 | − | 64.0524i | −0.238787 | − | 0.307944i | ||||
\(209\) | −479.560 | + | 402.398i | −2.29454 | + | 1.92535i | ||||
\(210\) | 80.7151 | + | 72.1834i | 0.384357 | + | 0.343730i | ||||
\(211\) | −79.4973 | − | 14.0175i | −0.376764 | − | 0.0664337i | −0.0179406 | − | 0.999839i | \(-0.505711\pi\) |
−0.358824 | + | 0.933405i | \(0.616822\pi\) | |||||||
\(212\) | −83.0162 | − | 60.5467i | −0.391586 | − | 0.285598i | ||||
\(213\) | 81.7070 | − | 8.94270i | 0.383601 | − | 0.0419845i | ||||
\(214\) | 306.484 | + | 99.8921i | 1.43217 | + | 0.466786i | ||||
\(215\) | 113.815i | 0.529373i | ||||||||
\(216\) | −176.027 | − | 125.182i | −0.814939 | − | 0.579547i | ||||
\(217\) | 46.6411 | 0.214936 | ||||||||
\(218\) | −41.5286 | + | 127.416i | −0.190498 | + | 0.584477i | ||||
\(219\) | 100.275 | + | 44.1303i | 0.457877 | + | 0.201508i | ||||
\(220\) | −118.361 | + | 162.286i | −0.538005 | + | 0.737664i | ||||
\(221\) | −12.9753 | + | 73.5867i | −0.0587119 | + | 0.332971i | ||||
\(222\) | −54.6402 | − | 11.4211i | −0.246127 | − | 0.0514466i | ||||
\(223\) | −86.4593 | − | 103.038i | −0.387710 | − | 0.462055i | 0.536522 | − | 0.843886i | \(-0.319738\pi\) |
−0.924232 | + | 0.381832i | \(0.875293\pi\) | |||||||
\(224\) | −138.405 | − | 166.482i | −0.617878 | − | 0.743222i | ||||
\(225\) | 98.0036 | − | 127.685i | 0.435571 | − | 0.567487i | ||||
\(226\) | −25.2961 | − | 13.4798i | −0.111929 | − | 0.0596451i | ||||
\(227\) | −301.128 | + | 53.0971i | −1.32656 | + | 0.233908i | −0.791635 | − | 0.610994i | \(-0.790770\pi\) |
−0.534922 | + | 0.844902i | \(0.679659\pi\) | |||||||
\(228\) | 345.099 | − | 200.381i | 1.51359 | − | 0.878862i | ||||
\(229\) | −208.128 | + | 75.7525i | −0.908858 | + | 0.330797i | −0.753797 | − | 0.657108i | \(-0.771780\pi\) |
−0.155061 | + | 0.987905i | \(0.549557\pi\) | |||||||
\(230\) | −87.4205 | + | 35.2274i | −0.380089 | + | 0.153162i | ||||
\(231\) | 381.269 | + | 25.0159i | 1.65051 | + | 0.108294i | ||||
\(232\) | −313.054 | + | 88.8394i | −1.34937 | + | 0.382929i | ||||
\(233\) | 42.1249 | − | 72.9625i | 0.180794 | − | 0.313144i | −0.761357 | − | 0.648332i | \(-0.775467\pi\) |
0.942151 | + | 0.335189i | \(0.108800\pi\) | |||||||
\(234\) | −87.8427 | − | 24.4603i | −0.375396 | − | 0.104531i | ||||
\(235\) | 126.001 | − | 72.7465i | 0.536173 | − | 0.309560i | ||||
\(236\) | −43.1591 | − | 44.8562i | −0.182878 | − | 0.190069i | ||||
\(237\) | 107.837 | + | 370.066i | 0.455008 | + | 1.56146i | ||||
\(238\) | −27.9578 | + | 197.621i | −0.117470 | + | 0.830339i | ||||
\(239\) | 80.0260 | − | 95.3713i | 0.334837 | − | 0.399043i | −0.572186 | − | 0.820124i | \(-0.693905\pi\) |
0.907023 | + | 0.421081i | \(0.138349\pi\) | |||||||
\(240\) | 92.0473 | − | 89.0034i | 0.383530 | − | 0.370848i | ||||
\(241\) | −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 | ||||
\(246\) | −82.5677 | − | 104.948i | −0.335641 | − | 0.426619i | ||||
\(247\) | 108.285 | − | 129.049i | 0.438402 | − | 0.522467i | ||||
\(248\) | 3.99780 | − | 55.0057i | 0.0161202 | − | 0.221797i | ||||
\(249\) | 1.18397 | + | 4.06304i | 0.00475488 | + | 0.0163174i | ||||
\(250\) | 152.934 | + | 170.163i | 0.611737 | + | 0.680652i | ||||
\(251\) | 18.3430 | − | 10.5903i | 0.0730796 | − | 0.0421925i | −0.463015 | − | 0.886350i | \(-0.653232\pi\) |
0.536095 | + | 0.844158i | \(0.319899\pi\) | |||||||
\(252\) | −236.720 | − | 57.3232i | −0.939365 | − | 0.227473i | ||||
\(253\) | −166.287 | + | 288.017i | −0.657260 | + | 1.13841i | ||||
\(254\) | −59.1867 | − | 279.707i | −0.233018 | − | 1.10121i | ||||
\(255\) | −117.786 | − | 7.72819i | −0.461905 | − | 0.0303066i | ||||
\(256\) | −208.202 | + | 148.956i | −0.813288 | + | 0.581861i | ||||
\(257\) | 36.6814 | − | 13.3509i | 0.142729 | − | 0.0519491i | −0.269668 | − | 0.962953i | \(-0.586914\pi\) |
0.412397 | + | 0.911004i | \(0.364692\pi\) | |||||||
\(258\) | −120.950 | − | 225.630i | −0.468799 | − | 0.874535i | ||||
\(259\) | −61.9877 | + | 10.9301i | −0.239335 | + | 0.0422011i | ||||
\(260\) | 23.7837 | − | 48.5386i | 0.0914756 | − | 0.186687i | ||||
\(261\) | −222.902 | + | 290.410i | −0.854032 | + | 1.11268i | ||||
\(262\) | −82.5825 | − | 132.428i | −0.315200 | − | 0.505452i | ||||
\(263\) | −247.344 | − | 294.773i | −0.940472 | − | 1.12081i | −0.992510 | − | 0.122166i | \(-0.961016\pi\) |
0.0520376 | − | 0.998645i | \(-0.483428\pi\) | |||||||
\(264\) | 62.1824 | − | 447.501i | 0.235539 | − | 1.69508i | ||||
\(265\) | 11.8987 | − | 67.4806i | 0.0449006 | − | 0.254644i | ||||
\(266\) | 277.356 | − | 354.333i | 1.04269 | − | 1.33208i | ||||
\(267\) | −187.710 | − | 82.6096i | −0.703033 | − | 0.309399i | ||||
\(268\) | 38.4601 | − | 133.208i | 0.143508 | − | 0.497044i | ||||
\(269\) | 128.494 | 0.477672 | 0.238836 | − | 0.971060i | \(-0.423234\pi\) | ||||
0.238836 | + | 0.971060i | \(0.423234\pi\) | |||||||
\(270\) | 23.3132 | − | 142.146i | 0.0863453 | − | 0.526467i | ||||
\(271\) | 173.624i | 0.640678i | 0.947303 | + | 0.320339i | \(0.103797\pi\) | ||||
−0.947303 | + | 0.320339i | \(0.896203\pi\) | |||||||
\(272\) | 230.666 | + | 49.9106i | 0.848035 | + | 0.183495i | ||||
\(273\) | −102.210 | + | 11.1867i | −0.374394 | + | 0.0409768i | ||||
\(274\) | −271.087 | + | 346.323i | −0.989369 | + | 1.26395i | ||||
\(275\) | 331.560 | + | 58.4630i | 1.20567 | + | 0.212593i | ||||
\(276\) | 135.869 | − | 162.736i | 0.492278 | − | 0.589624i | ||||
\(277\) | 123.403 | − | 103.547i | 0.445498 | − | 0.373818i | −0.392264 | − | 0.919853i | \(-0.628308\pi\) |
0.837762 | + | 0.546035i | \(0.183864\pi\) | |||||||
\(278\) | 209.876 | + | 336.556i | 0.754950 | + | 1.21063i | ||||
\(279\) | −33.3294 | − | 52.3325i | −0.119460 | − | 0.187572i | ||||
\(280\) | 59.0850 | − | 131.735i | 0.211018 | − | 0.470481i | ||||
\(281\) | −14.1148 | − | 80.0493i | −0.0502308 | − | 0.284873i | 0.949337 | − | 0.314259i | \(-0.101756\pi\) |
−0.999568 | + | 0.0293859i | \(0.990645\pi\) | |||||||
\(282\) | −172.480 | + | 278.114i | −0.611631 | + | 0.986220i | ||||
\(283\) | 109.608 | + | 301.145i | 0.387306 | + | 1.06412i | 0.968209 | + | 0.250142i | \(0.0804774\pi\) |
−0.580903 | + | 0.813973i | \(0.697300\pi\) | |||||||
\(284\) | −44.3927 | − | 100.200i | −0.156312 | − | 0.352815i | ||||
\(285\) | 221.261 | + | 147.864i | 0.776356 | + | 0.518821i | ||||
\(286\) | −39.4843 | − | 186.597i | −0.138057 | − | 0.652435i | ||||
\(287\) | −130.401 | − | 75.2871i | −0.454359 | − | 0.262324i | ||||
\(288\) | −87.8938 | + | 274.260i | −0.305187 | + | 0.952293i | ||||
\(289\) | 35.7154 | + | 61.8609i | 0.123583 | + | 0.214052i | ||||
\(290\) | −145.062 | − | 161.404i | −0.500213 | − | 0.556564i | ||||
\(291\) | −246.252 | − | 235.767i | −0.846226 | − | 0.810196i | ||||
\(292\) | 15.5342 | − | 145.247i | 0.0531995 | − | 0.497420i | ||||
\(293\) | −38.6454 | − | 32.4274i | −0.131896 | − | 0.110674i | 0.574453 | − | 0.818537i | \(-0.305215\pi\) |
−0.706349 | + | 0.707864i | \(0.749659\pi\) | |||||||
\(294\) | 19.1619 | − | 2.75914i | 0.0651765 | − | 0.00938484i | ||||
\(295\) | 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 | ||||
\(300\) | −201.851 | − | 72.9039i | −0.672836 | − | 0.243013i | ||||
\(301\) | −221.134 | − | 185.553i | −0.734665 | − | 0.616457i | ||||
\(302\) | −29.4687 | + | 208.301i | −0.0975786 | + | 0.689738i | ||||
\(303\) | −121.026 | + | 494.444i | −0.399424 | + | 1.63183i | ||||
\(304\) | −394.106 | − | 357.469i | −1.29640 | − | 1.17589i | ||||
\(305\) | 84.6851 | + | 146.679i | 0.277656 | + | 0.480915i | ||||
\(306\) | 241.714 | − | 109.849i | 0.789915 | − | 0.358984i | ||||
\(307\) | −109.109 | − | 62.9942i | −0.355404 | − | 0.205193i | 0.311659 | − | 0.950194i | \(-0.399115\pi\) |
−0.667063 | + | 0.745001i | \(0.732449\pi\) | |||||||
\(308\) | −122.345 | − | 494.542i | −0.397223 | − | 1.60566i | ||||
\(309\) | −36.3393 | + | 17.9175i | −0.117603 | + | 0.0579853i | ||||
\(310\) | 34.1133 | − | 13.7464i | 0.110043 | − | 0.0443433i | ||||
\(311\) | 78.4332 | + | 215.493i | 0.252197 | + | 0.692905i | 0.999593 | + | 0.0285262i | \(0.00908142\pi\) |
−0.747396 | + | 0.664378i | \(0.768696\pi\) | |||||||
\(312\) | 4.43210 | + | 121.499i | 0.0142055 | + | 0.389419i | ||||
\(313\) | 51.3526 | + | 291.235i | 0.164066 | + | 0.930463i | 0.950023 | + | 0.312181i | \(0.101060\pi\) |
−0.785957 | + | 0.618281i | \(0.787829\pi\) | |||||||
\(314\) | 470.523 | + | 250.733i | 1.49848 | + | 0.798513i | ||||
\(315\) | −35.1336 | − | 158.580i | −0.111535 | − | 0.503429i | ||||
\(316\) | 426.603 | − | 286.615i | 1.35001 | − | 0.907010i | ||||
\(317\) | 144.559 | − | 121.299i | 0.456021 | − | 0.382647i | −0.385643 | − | 0.922648i | \(-0.626020\pi\) |
0.841665 | + | 0.540001i | \(0.181576\pi\) | |||||||
\(318\) | 48.1227 | + | 146.420i | 0.151329 | + | 0.460440i | ||||
\(319\) | −754.110 | − | 132.970i | −2.36398 | − | 0.416834i | ||||
\(320\) | −150.296 | − | 80.9729i | −0.469674 | − | 0.253040i | ||||
\(321\) | −285.888 | − | 389.958i | −0.890617 | − | 1.21482i | ||||
\(322\) | 74.0780 | − | 227.282i | 0.230056 | − | 0.705846i | ||||
\(323\) | 490.514i | 1.51862i | ||||||||
\(324\) | 104.840 | + | 306.569i | 0.323582 | + | 0.946200i | ||||
\(325\) | −90.5991 | −0.278766 | ||||||||
\(326\) | 341.012 | + | 111.146i | 1.04605 | + | 0.340938i | ||||
\(327\) | 162.119 | − | 118.853i | 0.495777 | − | 0.363466i | ||||
\(328\) | −99.9663 | + | 147.334i | −0.304775 | + | 0.449189i | ||||
\(329\) | −64.0787 | + | 363.408i | −0.194768 | + | 1.10459i | ||||
\(330\) | 286.232 | − | 94.0739i | 0.867371 | − | 0.285072i | ||||
\(331\) | 114.150 | + | 136.038i | 0.344863 | + | 0.410992i | 0.910399 | − | 0.413732i | \(-0.135775\pi\) |
−0.565536 | + | 0.824724i | \(0.691330\pi\) | |||||||
\(332\) | 4.68377 | − | 3.14681i | 0.0141077 | − | 0.00947835i | ||||
\(333\) | 56.5598 | + | 61.7412i | 0.169849 | + | 0.185409i | ||||
\(334\) | 181.490 | − | 340.583i | 0.543384 | − | 1.01971i | ||||
\(335\) | 91.0570 | − | 16.0558i | 0.271812 | − | 0.0479278i | ||||
\(336\) | 22.8616 | + | 323.943i | 0.0680405 | + | 0.964117i | ||||
\(337\) | 337.952 | − | 123.004i | 1.00282 | − | 0.364998i | 0.212151 | − | 0.977237i | \(-0.431953\pi\) |
0.790673 | + | 0.612238i | \(0.209731\pi\) | |||||||
\(338\) | −107.148 | − | 265.898i | −0.317005 | − | 0.786682i | ||||
\(339\) | 19.0137 | + | 38.5626i | 0.0560875 | + | 0.113754i | ||||
\(340\) | 37.7960 | + | 152.779i | 0.111165 | + | 0.449351i | ||||
\(341\) | 64.8885 | − | 112.390i | 0.190289 | − | 0.329590i | ||||
\(342\) | −595.768 | − | 57.9974i | −1.74201 | − | 0.169583i | ||||
\(343\) | 306.005 | − | 176.672i | 0.892144 | − | 0.515079i | ||||
\(344\) | −237.785 | + | 244.888i | −0.691236 | + | 0.711883i | ||||
\(345\) | 137.323 | + | 33.6127i | 0.398038 | + | 0.0974281i | ||||
\(346\) | 491.132 | + | 69.4815i | 1.41946 | + | 0.200814i | ||||
\(347\) | 178.381 | − | 212.586i | 0.514065 | − | 0.612639i | −0.445102 | − | 0.895480i | \(-0.646833\pi\) |
0.959167 | + | 0.282841i | \(0.0912770\pi\) | |||||||
\(348\) | 459.096 | + | 165.815i | 1.31924 | + | 0.476479i | ||||
\(349\) | 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 | \(0.673094\pi\) | |||||||
\(354\) | 13.3074 | + | 92.4185i | 0.0375916 | + | 0.261069i | ||||
\(355\) | 46.9782 | − | 55.9864i | 0.132333 | − | 0.157708i | ||||
\(356\) | −29.0793 | + | 271.894i | −0.0816834 | + | 0.763748i | ||||
\(357\) | 207.042 | − | 216.249i | 0.579949 | − | 0.605740i | ||||
\(358\) | 42.0825 | − | 37.8217i | 0.117549 | − | 0.105647i | ||||
\(359\) | 166.650 | − | 96.2154i | 0.464206 | − | 0.268009i | −0.249605 | − | 0.968348i | \(-0.580301\pi\) |
0.713811 | + | 0.700338i | \(0.246968\pi\) | |||||||
\(360\) | −190.032 | + | 27.8419i | −0.527866 | + | 0.0773387i | ||||
\(361\) | 372.437 | − | 645.079i | 1.03168 | − | 1.78692i | ||||
\(362\) | −525.341 | + | 111.163i | −1.45122 | + | 0.307081i | ||||
\(363\) | 389.020 | − | 582.124i | 1.07168 | − | 1.60365i | ||||
\(364\) | 55.5320 | + | 125.342i | 0.152561 | + | 0.344347i | ||||
\(365\) | 91.5392 | − | 33.3176i | 0.250792 | − | 0.0912810i | ||||
\(366\) | −323.756 | − | 200.786i | −0.884579 | − | 0.548596i | ||||
\(367\) | 239.898 | − | 42.3005i | 0.653673 | − | 0.115260i | 0.163030 | − | 0.986621i | \(-0.447873\pi\) |
0.490642 | + | 0.871361i | \(0.336762\pi\) | |||||||
\(368\) | −261.694 | − | 106.845i | −0.711125 | − | 0.290338i | ||||
\(369\) | 8.70964 | + | 200.113i | 0.0236034 | + | 0.542312i | ||||
\(370\) | −42.1163 | + | 26.2638i | −0.113828 | + | 0.0709831i | ||||
\(371\) | 111.711 | + | 133.132i | 0.301108 | + | 0.358847i | ||||
\(372\) | −53.0188 | + | 63.5031i | −0.142524 | + | 0.170707i | ||||
\(373\) | −68.4605 | + | 388.259i | −0.183540 | + | 1.04091i | 0.744276 | + | 0.667872i | \(0.232795\pi\) |
−0.927817 | + | 0.373037i | \(0.878317\pi\) | |||||||
\(374\) | 437.307 | + | 342.305i | 1.16927 | + | 0.915255i | ||||
\(375\) | −37.3379 | − | 341.146i | −0.0995677 | − | 0.909723i | ||||
\(376\) | 423.090 | + | 106.720i | 1.12524 | + | 0.283829i | ||||
\(377\) | 206.061 | 0.546582 | ||||||||
\(378\) | 238.171 | + | 277.037i | 0.630083 | + | 0.732903i | ||||
\(379\) | 353.110i | 0.931690i | 0.884866 | + | 0.465845i | \(0.154249\pi\) | ||||
−0.884866 | + | 0.465845i | \(0.845751\pi\) | |||||||
\(380\) | 98.4265 | − | 340.903i | 0.259017 | − | 0.897114i | ||||
\(381\) | −172.745 | + | 392.520i | −0.453399 | + | 1.03024i | ||||
\(382\) | −49.5591 | − | 38.7927i | −0.129736 | − | 0.101552i | ||||
\(383\) | −45.9409 | − | 8.10062i | −0.119950 | − | 0.0211504i | 0.113351 | − | 0.993555i | \(-0.463842\pi\) |
−0.233301 | + | 0.972405i | \(0.574953\pi\) | |||||||
\(384\) | 383.999 | + | 0.804893i | 0.999998 | + | 0.00209607i | ||||
\(385\) | 260.257 | − | 218.381i | 0.675991 | − | 0.567224i | ||||
\(386\) | −395.435 | + | 246.593i | −1.02444 | + | 0.638843i | ||||
\(387\) | −50.1750 | + | 380.713i | −0.129651 | + | 0.983756i | ||||
\(388\) | −200.011 | + | 408.190i | −0.515493 | + | 1.05204i | ||||
\(389\) | −28.7035 | − | 162.786i | −0.0737880 | − | 0.418472i | −0.999217 | − | 0.0395526i | \(-0.987407\pi\) |
0.925430 | − | 0.378920i | \(-0.123704\pi\) | |||||||
\(390\) | −71.4589 | + | 38.3059i | −0.183228 | + | 0.0982203i | ||||
\(391\) | 89.1256 | + | 244.870i | 0.227943 | + | 0.626267i | ||||
\(392\) | −11.2520 | − | 23.2312i | −0.0287040 | − | 0.0592633i | ||||
\(393\) | −15.3270 | + | 233.599i | −0.0390000 | + | 0.594401i | ||||
\(394\) | 493.292 | − | 104.382i | 1.25201 | − | 0.264929i | ||||
\(395\) | 296.819 | + | 171.368i | 0.751440 | + | 0.433844i | ||||
\(396\) | −467.463 | + | 490.671i | −1.18046 | + | 1.23907i | ||||
\(397\) | −330.658 | − | 572.717i | −0.832892 | − | 1.44261i | −0.895735 | − | 0.444588i | \(-0.853350\pi\) |
0.0628427 | − | 0.998023i | \(-0.479983\pi\) | |||||||
\(398\) | −443.744 | + | 398.816i | −1.11494 | + | 1.00205i | ||||
\(399\) | −648.012 | + | 188.830i | −1.62409 | + | 0.473258i | ||||
\(400\) | −11.0308 | + | 285.938i | −0.0275770 | + | 0.714845i | ||||
\(401\) | 322.430 | + | 270.551i | 0.804065 | + | 0.674690i | 0.949183 | − | 0.314724i | \(-0.101912\pi\) |
−0.145119 | + | 0.989414i | \(0.546356\pi\) | |||||||
\(402\) | −163.451 | + | 128.595i | −0.406595 | + | 0.319887i | ||||
\(403\) | −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 | ||||
\(408\) | −237.285 | − | 262.708i | −0.581581 | − | 0.643893i | ||||
\(409\) | −298.130 | − | 250.161i | −0.728925 | − | 0.611640i | 0.200914 | − | 0.979609i | \(-0.435609\pi\) |
−0.929838 | + | 0.367969i | \(0.880053\pi\) | |||||||
\(410\) | −117.564 | − | 16.6321i | −0.286742 | − | 0.0405660i | ||||
\(411\) | 633.364 | − | 184.562i | 1.54103 | − | 0.449055i | ||||
\(412\) | 37.4557 | + | 38.9286i | 0.0909120 | + | 0.0944868i | ||||
\(413\) | 52.6430 | + | 91.1803i | 0.127465 | + | 0.220776i | ||||
\(414\) | −307.953 | + | 79.2970i | −0.743847 | + | 0.191539i | ||||
\(415\) | 3.25884 | + | 1.88149i | 0.00785263 | + | 0.00453372i | ||||
\(416\) | 152.581 | − | 54.7476i | 0.366782 | − | 0.131605i | ||||
\(417\) | 38.9522 | − | 593.673i | 0.0934106 | − | 1.42368i | ||||
\(418\) | −467.963 | − | 1161.30i | −1.11953 | − | 2.77823i | ||||
\(419\) | 1.34000 | + | 3.68161i | 0.00319809 | + | 0.00878667i | 0.941281 | − | 0.337623i | \(-0.109623\pi\) |
−0.938083 | + | 0.346410i | \(0.887401\pi\) | |||||||
\(420\) | −187.285 | + | 108.746i | −0.445917 | + | 0.258920i | ||||
\(421\) | −74.4542 | − | 422.251i | −0.176851 | − | 1.00297i | −0.935986 | − | 0.352038i | \(-0.885489\pi\) |
0.759135 | − | 0.650933i | \(-0.225622\pi\) | |||||||
\(422\) | 75.9250 | − | 142.480i | 0.179917 | − | 0.337631i | ||||
\(423\) | 453.544 | − | 187.791i | 1.07221 | − | 0.443951i | ||||
\(424\) | 166.583 | − | 120.334i | 0.392885 | − | 0.283807i | ||||
\(425\) | 202.082 | − | 169.567i | 0.475487 | − | 0.398981i | ||||
\(426\) | −33.6346 | + | 160.912i | −0.0789544 | + | 0.377728i | ||||
\(427\) | −423.048 | − | 74.5948i | −0.990746 | − | 0.174695i | ||||
\(428\) | −379.899 | + | 520.884i | −0.887615 | + | 1.21702i | ||||
\(429\) | −115.241 | + | 261.856i | −0.268626 | + | 0.610386i | ||||
\(430\) | −216.425 | − | 70.5393i | −0.503314 | − | 0.164045i | ||||
\(431\) | − | 112.825i | − | 0.261775i | −0.991397 | − | 0.130887i | \(-0.958217\pi\) | ||
0.991397 | − | 0.130887i | \(-0.0417826\pi\) | |||||||
\(432\) | 347.136 | − | 257.139i | 0.803556 | − | 0.595229i | ||||
\(433\) | 164.343 | 0.379546 | 0.189773 | − | 0.981828i | \(-0.439225\pi\) | ||||
0.189773 | + | 0.981828i | \(0.439225\pi\) | |||||||
\(434\) | −28.9068 | + | 88.6903i | −0.0666055 | + | 0.204355i | ||||
\(435\) | 35.4159 | + | 323.585i | 0.0814158 | + | 0.743874i | ||||
\(436\) | −216.549 | − | 157.937i | −0.496673 | − | 0.362241i | ||||
\(437\) | 102.018 | − | 578.570i | 0.233450 | − | 1.32396i | ||||
\(438\) | −146.063 | + | 163.327i | −0.333478 | + | 0.372893i | ||||
\(439\) | −424.795 | − | 506.251i | −0.967642 | − | 1.15319i | −0.988164 | − | 0.153401i | \(-0.950977\pi\) |
0.0205222 | − | 0.999789i | \(-0.493467\pi\) | |||||||
\(440\) | −235.238 | − | 325.650i | −0.534632 | − | 0.740113i | ||||
\(441\) | −25.7563 | − | 13.4124i | −0.0584044 | − | 0.0304136i | ||||
\(442\) | −131.887 | − | 70.2800i | −0.298387 | − | 0.159005i | ||||
\(443\) | −230.174 | + | 40.5858i | −0.519580 | + | 0.0916159i | −0.427287 | − | 0.904116i | \(-0.640531\pi\) |
−0.0922926 | + | 0.995732i | \(0.529420\pi\) | |||||||
\(444\) | 55.5822 | − | 96.8225i | 0.125185 | − | 0.218069i | ||||
\(445\) | −171.357 | + | 62.3687i | −0.385071 | + | 0.140154i | ||||
\(446\) | 249.517 | − | 100.547i | 0.559455 | − | 0.225441i | ||||
\(447\) | 367.475 | − | 549.883i | 0.822091 | − | 1.23016i | ||||
\(448\) | 402.352 | − | 160.003i | 0.898107 | − | 0.357149i | ||||
\(449\) | −122.709 | + | 212.538i | −0.273294 | + | 0.473360i | −0.969703 | − | 0.244285i | \(-0.921447\pi\) |
0.696409 | + | 0.717645i | \(0.254780\pi\) | |||||||
\(450\) | 182.059 | + | 265.494i | 0.404574 | + | 0.589986i | ||||
\(451\) | −362.836 | + | 209.483i | −0.804514 | + | 0.464487i | ||||
\(452\) | 41.3102 | − | 39.7473i | 0.0913943 | − | 0.0879365i | ||||
\(453\) | 218.231 | − | 227.936i | 0.481747 | − | 0.503170i | ||||
\(454\) | 85.6639 | − | 605.518i | 0.188687 | − | 1.33374i | ||||
\(455\) | −58.7663 | + | 70.0350i | −0.129157 | + | 0.153923i | ||||
\(456\) | 167.151 | + | 780.412i | 0.366560 | + | 1.71143i | ||||
\(457\) | 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 | \(0.360888\pi\) | |||||||
\(462\) | −283.868 | + | 709.496i | −0.614433 | + | 1.53571i | ||||
\(463\) | 153.827 | − | 183.324i | 0.332240 | − | 0.395948i | −0.573901 | − | 0.818925i | \(-0.694570\pi\) |
0.906140 | + | 0.422977i | \(0.139015\pi\) | |||||||
\(464\) | 25.0888 | − | 650.346i | 0.0540707 | − | 1.40161i | ||||
\(465\) | −53.5863 | − | 13.1164i | −0.115239 | − | 0.0282072i | ||||
\(466\) | 112.634 | + | 125.323i | 0.241704 | + | 0.268932i | ||||
\(467\) | 81.5519 | − | 47.0840i | 0.174629 | − | 0.100822i | −0.410138 | − | 0.912024i | \(-0.634519\pi\) |
0.584767 | + | 0.811201i | \(0.301186\pi\) | |||||||
\(468\) | 100.955 | − | 151.877i | 0.215715 | − | 0.324524i | ||||
\(469\) | −117.255 | + | 203.092i | −0.250012 | + | 0.433033i | ||||
\(470\) | 60.2395 | + | 284.682i | 0.128169 | + | 0.605707i | ||||
\(471\) | −353.667 | − | 717.289i | −0.750884 | − | 1.52291i | ||||
\(472\) | 112.045 | − | 54.2686i | 0.237383 | − | 0.114976i | ||||
\(473\) | −754.774 | + | 274.715i | −1.59572 | + | 0.580793i | ||||
\(474\) | −770.533 | − | 24.2989i | −1.62560 | − | 0.0512635i | ||||
\(475\) | −585.705 | + | 103.276i | −1.23306 | + | 0.217422i | ||||
\(476\) | −358.458 | − | 175.642i | −0.753062 | − | 0.368997i | ||||
\(477\) | 69.5497 | − | 220.478i | 0.145807 | − | 0.462218i | ||||
\(478\) | 131.755 | + | 211.282i | 0.275639 | + | 0.442012i | ||||
\(479\) | 220.464 | + | 262.739i | 0.460260 | + | 0.548516i | 0.945397 | − | 0.325922i | \(-0.105675\pi\) |
−0.485137 | + | 0.874438i | \(0.661230\pi\) | |||||||
\(480\) | 112.196 | + | 230.194i | 0.233742 | + | 0.479571i | ||||
\(481\) | 8.18402 | − | 46.4139i | 0.0170146 | − | 0.0964945i | ||||
\(482\) | 187.129 | − | 239.064i | 0.388234 | − | 0.495983i | ||||
\(483\) | −289.185 | + | 212.009i | −0.598727 | + | 0.438942i | ||||
\(484\) | −896.894 | − | 258.953i | −1.85309 | − | 0.535028i | ||||
\(485\) | −303.135 | −0.625020 | ||||||||
\(486\) | 140.648 | − | 465.203i | 0.289398 | − | 0.957209i | ||||
\(487\) | 446.412i | 0.916656i | 0.888783 | + | 0.458328i | \(0.151552\pi\) | ||||
−0.888783 | + | 0.458328i | \(0.848448\pi\) | |||||||
\(488\) | −124.234 | + | 492.524i | −0.254578 | + | 1.00927i | ||||
\(489\) | −318.096 | − | 433.890i | −0.650503 | − | 0.887301i | ||||
\(490\) | 10.6103 | − | 13.5550i | 0.0216537 | − | 0.0276633i | ||||
\(491\) | −5.90542 | − | 1.04128i | −0.0120273 | − | 0.00212074i | 0.167631 | − | 0.985850i | \(-0.446388\pi\) |
−0.179659 | + | 0.983729i | \(0.557499\pi\) | |||||||
\(492\) | 250.737 | − | 91.9626i | 0.509629 | − | 0.186916i | ||||
\(493\) | −459.621 | + | 385.668i | −0.932295 | + | 0.782288i | ||||
\(494\) | 178.282 | + | 285.891i | 0.360894 | + | 0.578726i | ||||
\(495\) | −431.007 | − | 135.961i | −0.870721 | − | 0.274669i | ||||
\(496\) | 102.118 | + | 41.6929i | 0.205884 | + | 0.0840583i | ||||
\(497\) | 32.1885 | + | 182.550i | 0.0647655 | + | 0.367304i | ||||
\(498\) | −8.45985 | − | 0.266783i | −0.0169877 | − | 0.000535709i | ||||
\(499\) | 274.772 | + | 754.929i | 0.550645 | + | 1.51288i | 0.832833 | + | 0.553525i | \(0.186718\pi\) |
−0.282188 | + | 0.959359i | \(0.591060\pi\) | |||||||
\(500\) | −418.357 | + | 185.350i | −0.836714 | + | 0.370700i | ||||
\(501\) | −519.201 | + | 255.998i | −1.03633 | + | 0.510973i | ||||
\(502\) | 8.76958 | + | 41.4436i | 0.0174693 | + | 0.0825570i | ||||
\(503\) | 127.666 | + | 73.7082i | 0.253810 | + | 0.146537i | 0.621508 | − | 0.783408i | \(-0.286521\pi\) |
−0.367698 | + | 0.929945i | \(0.619854\pi\) | |||||||
\(504\) | 255.715 | − | 414.607i | 0.507371 | − | 0.822634i | ||||
\(505\) | 226.311 | + | 391.982i | 0.448141 | + | 0.776203i | ||||
\(506\) | −444.619 | − | 494.707i | −0.878694 | − | 0.977682i | ||||
\(507\) | −102.237 | + | 417.682i | −0.201650 | + | 0.823831i | ||||
\(508\) | 568.558 | + | 60.8077i | 1.11921 | + | 0.119700i | ||||
\(509\) | −519.941 | − | 436.282i | −1.02149 | − | 0.857136i | −0.0316799 | − | 0.999498i | \(-0.510086\pi\) |
−0.989815 | + | 0.142362i | \(0.954530\pi\) | |||||||
\(510\) | 87.6956 | − | 219.185i | 0.171952 | − | 0.429775i | ||||
\(511\) | −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 | ||||
\(516\) | 504.008 | − | 90.1537i | 0.976759 | − | 0.174717i | ||||
\(517\) | 786.551 | + | 659.995i | 1.52138 | + | 1.27659i | ||||
\(518\) | 17.6340 | − | 124.647i | 0.0340425 | − | 0.240631i | ||||
\(519\) | −537.428 | − | 514.546i | −1.03551 | − | 0.991419i | ||||
\(520\) | 77.5580 | + | 75.3085i | 0.149150 | + | 0.144824i | ||||
\(521\) | 107.426 | + | 186.067i | 0.206192 | + | 0.357135i | 0.950512 | − | 0.310688i | \(-0.100559\pi\) |
−0.744320 | + | 0.667823i | \(0.767226\pi\) | |||||||
\(522\) | −414.080 | − | 603.847i | −0.793256 | − | 1.15680i | ||||
\(523\) | −535.275 | − | 309.041i | −1.02347 | − | 0.590901i | −0.108363 | − | 0.994111i | \(-0.534561\pi\) |
−0.915107 | + | 0.403210i | \(0.867894\pi\) | |||||||
\(524\) | 303.001 | − | 74.9593i | 0.578247 | − | 0.143052i | ||||
\(525\) | 301.807 | + | 201.691i | 0.574870 | + | 0.384173i | ||||
\(526\) | 713.822 | − | 287.645i | 1.35708 | − | 0.546854i | ||||
\(527\) | −34.7786 | − | 95.5535i | −0.0659936 | − | 0.181316i | ||||
\(528\) | 812.406 | + | 395.591i | 1.53865 | + | 0.749225i | ||||
\(529\) | 37.6630 | + | 213.598i | 0.0711966 | + | 0.403776i | ||||
\(530\) | 120.943 | + | 64.4483i | 0.228195 | + | 0.121601i | ||||
\(531\) | 64.6884 | − | 124.224i | 0.121824 | − | 0.233943i | ||||
\(532\) | 501.884 | + | 747.012i | 0.943390 | + | 1.40416i | ||||
\(533\) | 86.3668 | − | 72.4704i | 0.162039 | − | 0.135967i | ||||
\(534\) | 273.423 | − | 305.740i | 0.512028 | − | 0.572547i | ||||
\(535\) | −423.406 | − | 74.6579i | −0.791414 | − | 0.139548i | ||||
\(536\) | 229.465 | + | 155.692i | 0.428106 | + | 0.290470i | ||||
\(537\) | −84.3678 | + | 9.23392i | −0.157109 | + | 0.0171954i | ||||
\(538\) | −79.6366 | + | 244.337i | −0.148024 | + | 0.454158i | ||||
\(539\) | − | 60.7406i | − | 0.112691i | ||||||
\(540\) | 255.849 | + | 132.429i | 0.473794 | + | 0.245239i | ||||
\(541\) | −647.938 | −1.19767 | −0.598834 | − | 0.800873i | \(-0.704369\pi\) | ||||
−0.598834 | + | 0.800873i | \(0.704369\pi\) | |||||||
\(542\) | −330.154 | − | 107.607i | −0.609140 | − | 0.198536i | ||||
\(543\) | 737.224 | + | 324.447i | 1.35769 | + | 0.597508i | ||||
\(544\) | −237.867 | + | 407.689i | −0.437256 | + | 0.749428i | ||||
\(545\) | 31.0379 | − | 176.024i | 0.0569502 | − | 0.322981i | ||||
\(546\) | 42.0744 | − | 201.289i | 0.0770594 | − | 0.368662i | ||||
\(547\) | 431.014 | + | 513.662i | 0.787960 | + | 0.939054i | 0.999264 | − | 0.0383666i | \(-0.0122155\pi\) |
−0.211304 | + | 0.977420i | \(0.567771\pi\) | |||||||
\(548\) | −490.539 | − | 730.126i | −0.895144 | − | 1.33235i | ||||
\(549\) | 218.610 | + | 527.976i | 0.398197 | + | 0.961705i | ||||
\(550\) | −316.661 | + | 594.244i | −0.575748 | + | 1.08044i | ||||
\(551\) | 1332.15 | − | 234.893i | 2.41769 | − | 0.426304i | ||||
\(552\) | 225.244 | + | 359.220i | 0.408050 | + | 0.650761i | ||||
\(553\) | −816.861 | + | 297.313i | −1.47714 | + | 0.537637i | ||||
\(554\) | 120.419 | + | 298.832i | 0.217363 | + | 0.539409i | ||||
\(555\) | 74.2918 | + | 4.87445i | 0.133859 | + | 0.00878280i | ||||
\(556\) | −770.052 | + | 190.503i | −1.38498 | + | 0.342631i | ||||
\(557\) | −334.348 | + | 579.107i | −0.600265 | + | 1.03969i | 0.392515 | + | 0.919745i | \(0.371605\pi\) |
−0.992781 | + | 0.119944i | \(0.961728\pi\) | |||||||
\(558\) | 120.169 | − | 30.9433i | 0.215357 | − | 0.0554540i | ||||
\(559\) | 187.187 | − | 108.072i | 0.334860 | − | 0.193331i | ||||
\(560\) | 213.881 | + | 193.998i | 0.381930 | + | 0.346425i | ||||
\(561\) | −233.049 | − | 799.757i | −0.415416 | − | 1.42559i | ||||
\(562\) | 160.965 | + | 22.7721i | 0.286415 | + | 0.0405198i | ||||
\(563\) | −30.5238 | + | 36.3768i | −0.0542163 | + | 0.0646125i | −0.792471 | − | 0.609910i | \(-0.791206\pi\) |
0.738255 | + | 0.674522i | \(0.235650\pi\) | |||||||
\(564\) | −421.949 | − | 500.346i | −0.748137 | − | 0.887138i | ||||
\(565\) | 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 | \(0.576922\pi\) | |||||||
\(570\) | −418.302 | + | 329.097i | −0.733863 | + | 0.577364i | ||||
\(571\) | 604.450 | − | 720.356i | 1.05858 | − | 1.26157i | 0.0946241 | − | 0.995513i | \(-0.469835\pi\) |
0.963958 | − | 0.266056i | \(-0.0857205\pi\) | |||||||
\(572\) | 379.293 | + | 40.5657i | 0.663100 | + | 0.0709191i | ||||
\(573\) | 26.4109 | + | 90.6348i | 0.0460923 | + | 0.158176i | ||||
\(574\) | 223.981 | − | 201.303i | 0.390210 | − | 0.350702i | ||||
\(575\) | −273.626 | + | 157.978i | −0.475871 | + | 0.274744i | ||||
\(576\) | −467.045 | − | 337.113i | −0.810842 | − | 0.585265i | ||||
\(577\) | −71.2440 | + | 123.398i | −0.123473 | + | 0.213862i | −0.921135 | − | 0.389243i | \(-0.872737\pi\) |
0.797662 | + | 0.603105i | \(0.206070\pi\) | |||||||
\(578\) | −139.767 | + | 29.5750i | −0.241811 | + | 0.0511678i | ||||
\(579\) | 697.534 | + | 45.7668i | 1.20472 | + | 0.0790445i | ||||
\(580\) | 396.822 | − | 175.809i | 0.684175 | − | 0.303119i | ||||
\(581\) | −8.96850 | + | 3.26427i | −0.0154363 | + | 0.00561836i | ||||
\(582\) | 600.942 | − | 322.138i | 1.03255 | − | 0.553502i | ||||
\(583\) | 476.222 | − | 83.9708i | 0.816848 | − | 0.144032i | ||||
\(584\) | 266.566 | + | 119.559i | 0.456449 | + | 0.204724i | ||||
\(585\) | 120.575 | + | 15.8908i | 0.206111 | + | 0.0271638i | ||||
\(586\) | 85.6135 | − | 53.3886i | 0.146098 | − | 0.0911068i | ||||
\(587\) | 109.295 | + | 130.253i | 0.186192 | + | 0.221895i | 0.851064 | − | 0.525063i | \(-0.175958\pi\) |
−0.664871 | + | 0.746958i | \(0.731514\pi\) | |||||||
\(588\) | −6.62933 | + | 38.1473i | −0.0112744 | + | 0.0648764i | ||||
\(589\) | −39.8093 | + | 225.770i | −0.0675880 | + | 0.383311i | ||||
\(590\) | 65.3764 | + | 51.1739i | 0.110808 | + | 0.0867354i | ||||
\(591\) | −692.250 | − | 304.654i | −1.17132 | − | 0.515489i | ||||
\(592\) | −145.489 | − | 31.4805i | −0.245759 | − | 0.0531765i | ||||
\(593\) | −669.024 | −1.12820 | −0.564101 | − | 0.825706i | \(-0.690777\pi\) | ||||
−0.564101 | + | 0.825706i | \(0.690777\pi\) | |||||||
\(594\) | 998.924 | − | 188.494i | 1.68169 | − | 0.317330i | ||||
\(595\) | − | 266.202i | − | 0.447398i | ||||||
\(596\) | −847.219 | − | 244.611i | −1.42151 | − | 0.410422i | ||||
\(597\) | 889.627 | − | 97.3684i | 1.49016 | − | 0.163096i | ||||
\(598\) | 140.946 | + | 110.327i | 0.235696 | + | 0.184493i | ||||
\(599\) | 483.540 | + | 85.2611i | 0.807245 | + | 0.142339i | 0.562016 | − | 0.827126i | \(-0.310026\pi\) |
0.245229 | + | 0.969465i | \(0.421137\pi\) | |||||||
\(600\) | 263.731 | − | 338.645i | 0.439552 | − | 0.564409i | ||||
\(601\) | 231.159 | − | 193.966i | 0.384624 | − | 0.322738i | −0.429890 | − | 0.902881i | \(-0.641448\pi\) |
0.814515 | + | 0.580143i | \(0.197003\pi\) | |||||||
\(602\) | 489.891 | − | 305.496i | 0.813773 | − | 0.507469i | ||||
\(603\) | 311.665 | − | 13.5648i | 0.516857 | − | 0.0224955i | ||||
\(604\) | −377.830 | − | 185.135i | −0.625547 | − | 0.306515i | ||||
\(605\) | −108.104 | − | 613.090i | −0.178685 | − | 1.01337i | ||||
\(606\) | −865.200 | − | 536.577i | −1.42772 | − | 0.885441i | ||||
\(607\) | 66.6834 | + | 183.211i | 0.109857 | + | 0.301830i | 0.982424 | − | 0.186665i | \(-0.0597680\pi\) |
−0.872566 | + | 0.488496i | \(0.837546\pi\) | |||||||
\(608\) | 924.000 | − | 527.862i | 1.51974 | − | 0.868195i | ||||
\(609\) | −686.439 | − | 458.732i | −1.12716 | − | 0.753255i | ||||
\(610\) | −331.402 | + | 70.1256i | −0.543283 | + | 0.114960i | ||||
\(611\) | −239.286 | − | 138.152i | −0.391630 | − | 0.226107i | ||||
\(612\) | 59.0760 | + | 527.712i | 0.0965295 | + | 0.862274i | ||||
\(613\) | −296.011 | − | 512.707i | −0.482890 | − | 0.836389i | 0.516917 | − | 0.856035i | \(-0.327079\pi\) |
−0.999807 | + | 0.0196459i | \(0.993746\pi\) | |||||||
\(614\) | 187.409 | − | 168.434i | 0.305227 | − | 0.274323i | ||||
\(615\) | 128.646 | + | 123.169i | 0.209181 | + | 0.200275i | ||||
\(616\) | 1016.22 | + | 73.8587i | 1.64971 | + | 0.119900i | ||||
\(617\) | −272.885 | − | 228.978i | −0.442277 | − | 0.371114i | 0.394284 | − | 0.918989i | \(-0.370993\pi\) |
−0.836561 | + | 0.547874i | \(0.815437\pi\) | |||||||
\(618\) | −11.5489 | − | 80.2056i | −0.0186875 | − | 0.129783i | ||||
\(619\) | −190.318 | + | 522.895i | −0.307461 | + | 0.844741i | 0.685689 | + | 0.727894i | \(0.259501\pi\) |
−0.993150 | + | 0.116847i | \(0.962721\pi\) | |||||||
\(620\) | 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 | ||||
\(624\) | −233.782 | − | 66.8734i | −0.374651 | − | 0.107169i | ||||
\(625\) | 108.750 | + | 91.2519i | 0.174000 | + | 0.146003i | ||||
\(626\) | −585.624 | − | 82.8494i | −0.935501 | − | 0.132347i | ||||
\(627\) | −446.514 | + | 1824.21i | −0.712143 | + | 2.90943i | ||||
\(628\) | −768.397 | + | 739.326i | −1.22356 | + | 1.17727i | ||||
\(629\) | 68.6145 | + | 118.844i | 0.109085 | + | 0.188941i | ||||
\(630\) | 323.323 | + | 31.4751i | 0.513211 | + | 0.0499605i | ||||
\(631\) | −716.677 | − | 413.773i | −1.13578 | − | 0.655742i | −0.190397 | − | 0.981707i | \(-0.560978\pi\) |
−0.945382 | + | 0.325965i | \(0.894311\pi\) | |||||||
\(632\) | 280.617 | + | 988.841i | 0.444014 | + | 1.56462i | ||||
\(633\) | −217.204 | + | 107.095i | −0.343134 | + | 0.169186i | ||||
\(634\) | 141.063 | + | 350.063i | 0.222497 | + | 0.552150i | ||||
\(635\) | 130.419 | + | 358.324i | 0.205385 | + | 0.564289i | ||||
\(636\) | −308.249 | + | 0.761016i | −0.484669 | + | 0.00119657i | ||||
\(637\) | 2.83833 | + | 16.0970i | 0.00445578 | + | 0.0252700i | ||||
\(638\) | 720.224 | − | 1351.57i | 1.12888 | − | 2.11844i | ||||
\(639\) | 181.824 | − | 166.565i | 0.284545 | − | 0.260665i | ||||
\(640\) | 247.123 | − | 235.610i | 0.386129 | − | 0.368141i | ||||
\(641\) | 18.1457 | − | 15.2260i | 0.0283084 | − | 0.0237536i | −0.628524 | − | 0.777790i | \(-0.716340\pi\) |
0.656832 | + | 0.754037i | \(0.271896\pi\) | |||||||
\(642\) | 918.709 | − | 301.945i | 1.43101 | − | 0.470320i | ||||
\(643\) | 511.335 | + | 90.1621i | 0.795233 | + | 0.140221i | 0.556482 | − | 0.830860i | \(-0.312151\pi\) |
0.238751 | + | 0.971081i | \(0.423262\pi\) | |||||||
\(644\) | 386.277 | + | 281.726i | 0.599809 | + | 0.437462i | ||||
\(645\) | 201.881 | + | 275.371i | 0.312994 | + | 0.426931i | ||||
\(646\) | −932.736 | − | 304.006i | −1.44386 | − | 0.470597i | ||||
\(647\) | − | 728.461i | − | 1.12591i | −0.826489 | − | 0.562953i | \(-0.809665\pi\) | ||
0.826489 | − | 0.562953i | \(-0.190335\pi\) | |||||||
\(648\) | −647.932 | + | 9.35693i | −0.999896 | + | 0.0144397i | ||||
\(649\) | 292.954 | 0.451393 | ||||||||
\(650\) | 56.1506 | − | 172.279i | 0.0863856 | − | 0.265044i | ||||
\(651\) | 112.846 | − | 82.7303i | 0.173343 | − | 0.127082i | ||||
\(652\) | −422.698 | + | 579.566i | −0.648310 | + | 0.888905i | ||||
\(653\) | 101.708 | − | 576.816i | 0.155755 | − | 0.883332i | −0.802337 | − | 0.596871i | \(-0.796410\pi\) |
0.958092 | − | 0.286460i | \(-0.0924786\pi\) | |||||||
\(654\) | 125.529 | + | 381.939i | 0.191940 | + | 0.584004i | ||||
\(655\) | 133.800 | + | 159.457i | 0.204275 | + | 0.243445i | ||||
\(656\) | −218.207 | − | 281.404i | −0.332632 | − | 0.428970i | ||||
\(657\) | 320.888 | − | 71.0930i | 0.488414 | − | 0.108209i | ||||
\(658\) | −651.325 | − | 347.079i | −0.989855 | − | 0.527475i | ||||
\(659\) | −1165.69 | + | 205.543i | −1.76888 | + | 0.311901i | −0.960814 | − | 0.277194i | \(-0.910596\pi\) |
−0.808064 | + | 0.589095i | \(0.799485\pi\) | |||||||
\(660\) | 1.48769 | + | 602.589i | 0.00225408 | + | 0.913013i | ||||
\(661\) | −112.165 | + | 40.8248i | −0.169690 | + | 0.0617622i | −0.425468 | − | 0.904973i | \(-0.639891\pi\) |
0.255778 | + | 0.966736i | \(0.417668\pi\) | |||||||
\(662\) | −329.430 | + | 132.749i | −0.497628 | + | 0.200527i | ||||
\(663\) | 99.1322 | + | 201.055i | 0.149521 | + | 0.303250i | ||||
\(664\) | 3.08096 | + | 10.8567i | 0.00463999 | + | 0.0163505i | ||||
\(665\) | −300.078 | + | 519.751i | −0.451246 | + | 0.781580i | ||||
\(666\) | −152.458 | + | 69.2858i | −0.228916 | + | 0.104033i | ||||
\(667\) | 622.344 | − | 359.310i | 0.933049 | − | 0.538696i | ||||
\(668\) | 535.153 | + | 556.196i | 0.801127 | + | 0.832628i | ||||
\(669\) | −391.950 | − | 95.9380i | −0.585874 | − | 0.143405i | ||||
\(670\) | −25.9035 | + | 183.100i | −0.0386620 | + | 0.273284i | ||||
\(671\) | −768.308 | + | 915.634i | −1.14502 | + | 1.36458i | ||||
\(672\) | −630.163 | − | 157.298i | −0.937742 | − | 0.234074i | ||||
\(673\) | 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 | \(0.474521\pi\) | |||||||
\(678\) | −85.1127 | + | 12.2555i | −0.125535 | + | 0.0180759i | ||||
\(679\) | 494.202 | − | 588.967i | 0.727838 | − | 0.867404i | ||||
\(680\) | −313.942 | − | 22.8172i | −0.461680 | − | 0.0335548i | ||||
\(681\) | −634.385 | + | 662.597i | −0.931550 | + | 0.972976i | ||||
\(682\) | 173.499 | + | 193.045i | 0.254398 | + | 0.283057i | ||||
\(683\) | 226.467 | − | 130.751i | 0.331577 | − | 0.191436i | −0.324964 | − | 0.945726i | \(-0.605352\pi\) |
0.656541 | + | 0.754290i | \(0.272019\pi\) | |||||||
\(684\) | 479.524 | − | 1096.94i | 0.701058 | − | 1.60371i | ||||
\(685\) | 293.295 | − | 508.002i | 0.428168 | − | 0.741609i | ||||
\(686\) | 146.298 | + | 691.380i | 0.213262 | + | 1.00784i | ||||
\(687\) | −369.190 | + | 552.450i | −0.537395 | + | 0.804149i | ||||
\(688\) | −318.294 | − | 603.934i | −0.462636 | − | 0.877811i | ||||
\(689\) | −122.280 | + | 44.5065i | −0.177475 | + | 0.0645957i | ||||
\(690\) | −149.025 | + | 240.294i | −0.215978 | + | 0.348252i | ||||
\(691\) | −720.416 | + | 127.029i | −1.04257 | + | 0.183833i | −0.668611 | − | 0.743612i | \(-0.733111\pi\) |
−0.373959 | + | 0.927445i | \(0.622000\pi\) | |||||||
\(692\) | −436.512 | + | 890.849i | −0.630797 | + | 1.28735i | ||||
\(693\) | 966.835 | − | 615.755i | 1.39514 | − | 0.888536i | ||||
\(694\) | 293.687 | + | 470.953i | 0.423180 | + | 0.678607i | ||||
\(695\) | −340.041 | − | 405.245i | −0.489268 | − | 0.583087i | ||||
\(696\) | −599.839 | + | 770.226i | −0.861837 | + | 1.10665i | ||||
\(697\) | −57.0050 | + | 323.291i | −0.0817862 | + | 0.463832i | ||||
\(698\) | −65.3193 | + | 83.4478i | −0.0935807 | + | 0.119553i | ||||
\(699\) | −27.4988 | − | 251.249i | −0.0393402 | − | 0.359441i | ||||
\(700\) | 134.257 | − | 465.002i | 0.191795 | − | 0.664289i | ||||
\(701\) | 980.935 | 1.39934 | 0.699668 | − | 0.714468i | \(-0.253331\pi\) | ||||
0.699668 | + | 0.714468i | \(0.253331\pi\) | |||||||
\(702\) | −255.918 | + | 96.6315i | −0.364556 | + | 0.137652i | ||||
\(703\) | − | 309.385i | − | 0.440093i | ||||||
\(704\) | 174.209 | − | 1192.14i | 0.247456 | − | 1.69338i | ||||
\(705\) | 175.818 | − | 399.502i | 0.249387 | − | 0.566670i | ||||
\(706\) | 168.407 | − | 215.146i | 0.238536 | − | 0.304739i | ||||
\(707\) | −1130.55 | − | 199.346i | −1.59908 | − | 0.281960i | ||||
\(708\) | −183.986 | − | 31.9735i | −0.259867 | − | 0.0451603i | ||||
\(709\) | −36.9636 | + | 31.0162i | −0.0521349 | + | 0.0437464i | −0.668483 | − | 0.743728i | \(-0.733056\pi\) |
0.616348 | + | 0.787474i | \(0.288612\pi\) | |||||||
\(710\) | 77.3452 | + | 124.030i | 0.108937 | + | 0.174690i | ||||
\(711\) | 917.316 | + | 704.081i | 1.29018 | + | 0.990269i | ||||
\(712\) | −498.997 | − | 223.808i | −0.700839 | − | 0.314337i | ||||
\(713\) | 21.1487 | + | 119.940i | 0.0296616 | + | 0.168219i | ||||
\(714\) | 282.890 | + | 527.725i | 0.396204 | + | 0.739110i | ||||
\(715\) | 87.0046 | + | 239.043i | 0.121685 | + | 0.334326i | ||||
\(716\) | 45.8383 | + | 103.463i | 0.0640200 | + | 0.144501i | ||||
\(717\) | 24.4533 | − | 372.694i | 0.0341050 | − | 0.519796i | ||||
\(718\) | 79.6735 | + | 376.524i | 0.110966 | + | 0.524407i | ||||
\(719\) | −1170.39 | − | 675.725i | −1.62780 | − | 0.939813i | −0.984747 | − | 0.173994i | \(-0.944333\pi\) |
−0.643057 | − | 0.765818i | \(-0.722334\pi\) | |||||||
\(720\) | 64.8332 | − | 378.610i | 0.0900461 | − | 0.525847i | ||||
\(721\) | −45.6863 | − | 79.1311i | −0.0633652 | − | 0.109752i | ||||
\(722\) | 995.824 | + | 1108.01i | 1.37926 | + | 1.53464i | ||||
\(723\) | −437.205 | + | 127.401i | −0.604710 | + | 0.176212i | ||||
\(724\) | 114.208 | − | 1067.86i | 0.157746 | − | 1.47494i | ||||
\(725\) | −557.284 | − | 467.617i | −0.768667 | − | 0.644988i | ||||
\(726\) | 865.833 | + | 1100.52i | 1.19261 | + | 1.51587i | ||||
\(727\) | 264.383 | − | 726.385i | 0.363662 | − | 0.999154i | −0.614061 | − | 0.789258i | \(-0.710465\pi\) |
0.977724 | − | 0.209896i | \(-0.0673126\pi\) | |||||||
\(728\) | −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 | ||||
\(732\) | 582.459 | − | 491.196i | 0.795709 | − | 0.671033i | ||||
\(733\) | −1060.19 | − | 889.603i | −1.44637 | − | 1.21365i | −0.935178 | − | 0.354179i | \(-0.884760\pi\) |
−0.511190 | − | 0.859468i | \(-0.670795\pi\) | |||||||
\(734\) | −68.2452 | + | 482.394i | −0.0929771 | + | 0.657212i | ||||
\(735\) | −24.7898 | + | 7.22371i | −0.0337276 | + | 0.00982818i | ||||
\(736\) | 365.360 | − | 431.404i | 0.496413 | − | 0.586147i | ||||
\(737\) | 326.259 | + | 565.097i | 0.442685 | + | 0.766753i | ||||
\(738\) | −385.922 | − | 107.462i | −0.522930 | − | 0.145613i | ||||
\(739\) | 295.927 | + | 170.854i | 0.400442 | + | 0.231196i | 0.686675 | − | 0.726965i | \(-0.259070\pi\) |
−0.286232 | + | 0.958160i | \(0.592403\pi\) | |||||||
\(740\) | −23.8394 | − | 96.3637i | −0.0322153 | − | 0.130221i | ||||
\(741\) | 33.0884 | − | 504.302i | 0.0446537 | − | 0.680569i | ||||
\(742\) | −322.392 | + | 129.913i | −0.434491 | + | 0.175085i | ||||
\(743\) | −191.604 | − | 526.428i | −0.257879 | − | 0.708517i | −0.999298 | − | 0.0374741i | \(-0.988069\pi\) |
0.741419 | − | 0.671043i | \(-0.234153\pi\) | |||||||
\(744\) | −87.8947 | − | 140.175i | −0.118138 | − | 0.188407i | ||||
\(745\) | −102.117 | − | 579.134i | −0.137070 | − | 0.777361i | ||||
\(746\) | −695.863 | − | 370.812i | −0.932792 | − | 0.497067i | ||||
\(747\) | 10.0714 | + | 7.73027i | 0.0134825 | + | 0.0103484i | ||||
\(748\) | −921.940 | + | 619.410i | −1.23254 | + | 0.828088i | ||||
\(749\) | 835.336 | − | 700.930i | 1.11527 | − | 0.935821i | ||||
\(750\) | 671.846 | + | 140.432i | 0.895795 | + | 0.187243i | ||||
\(751\) | −732.986 | − | 129.245i | −0.976013 | − | 0.172097i | −0.337178 | − | 0.941441i | \(-0.609472\pi\) |
−0.638835 | + | 0.769344i | \(0.720583\pi\) | |||||||
\(752\) | −465.152 | + | 738.384i | −0.618553 | + | 0.981894i | ||||
\(753\) | 25.5953 | − | 58.1589i | 0.0339911 | − | 0.0772363i | ||||
\(754\) | −127.711 | + | 391.836i | −0.169378 | + | 0.519676i | ||||
\(755\) | − | 280.588i | − | 0.371640i | ||||||
\(756\) | −674.411 | + | 281.195i | −0.892079 | + | 0.371950i | ||||
\(757\) | −34.0389 | −0.0449655 | −0.0224828 | − | 0.999747i | \(-0.507157\pi\) | ||||
−0.0224828 | + | 0.999747i | \(0.507157\pi\) | |||||||
\(758\) | −671.456 | − | 218.847i | −0.885826 | − | 0.288717i | ||||
\(759\) | 108.551 | + | 991.798i | 0.143018 | + | 1.30672i | ||||
\(760\) | 587.242 | + | 398.445i | 0.772687 | + | 0.524269i | ||||
\(761\) | 27.3928 | − | 155.352i | 0.0359958 | − | 0.204142i | −0.961506 | − | 0.274784i | \(-0.911394\pi\) |
0.997502 | + | 0.0706419i | \(0.0225048\pi\) | |||||||
\(762\) | −639.333 | − | 571.755i | −0.839020 | − | 0.750335i | ||||
\(763\) | 291.401 | + | 347.278i | 0.381914 | + | 0.455148i | ||||
\(764\) | 104.481 | − | 70.1964i | 0.136756 | − | 0.0918801i | ||||
\(765\) | −298.685 | + | 190.226i | −0.390438 | + | 0.248661i | ||||
\(766\) | 43.8765 | − | 82.3383i | 0.0572800 | − | 0.107491i | ||||
\(767\) | −77.6362 | + | 13.6894i | −0.101221 | + | 0.0178479i | ||||
\(768\) | −239.522 | + | 729.694i | −0.311877 | + | 0.950122i | ||||
\(769\) | 271.545 | − | 98.8342i | 0.353114 | − | 0.128523i | −0.159372 | − | 0.987219i | \(-0.550947\pi\) |
0.512486 | + | 0.858696i | \(0.328725\pi\) | |||||||
\(770\) | 253.963 | + | 630.237i | 0.329822 | + | 0.818489i | ||||
\(771\) | 65.0675 | − | 97.3660i | 0.0843937 | − | 0.126285i | ||||
\(772\) | −223.830 | − | 904.769i | −0.289936 | − | 1.17198i | ||||
\(773\) | 514.374 | − | 890.922i | 0.665426 | − | 1.15255i | −0.313744 | − | 0.949508i | \(-0.601583\pi\) |
0.979170 | − | 0.203043i | \(-0.0650832\pi\) | |||||||
\(774\) | −692.848 | − | 331.365i | −0.895152 | − | 0.428120i | ||||
\(775\) | 106.774 | − | 61.6463i | 0.137774 | − | 0.0795436i | ||||
\(776\) | −652.233 | − | 633.315i | −0.840506 | − | 0.816128i | ||||
\(777\) | −130.589 | + | 136.396i | −0.168068 | + | 0.175542i | ||||
\(778\) | 327.334 | + | 46.3087i | 0.420738 | + | 0.0595227i | ||||
\(779\) | 475.734 | − | 566.957i | 0.610698 | − | 0.727801i | ||||
\(780\) | −28.5524 | − | 159.623i | −0.0366057 | − | 0.204645i | ||||
\(781\) | 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 | ||||
\(786\) | −434.701 | − | 173.923i | −0.553055 | − | 0.221276i | ||||
\(787\) | 541.136 | − | 644.900i | 0.687593 | − | 0.819441i | −0.303469 | − | 0.952841i | \(-0.598145\pi\) |
0.991062 | + | 0.133400i | \(0.0425894\pi\) | |||||||
\(788\) | −107.241 | + | 1002.71i | −0.136092 | + | 1.27248i | ||||
\(789\) | −1121.30 | − | 274.461i | −1.42116 | − | 0.347859i | ||||
\(790\) | −509.825 | + | 458.206i | −0.645348 | + | 0.580008i | ||||
\(791\) | −83.9724 | + | 48.4815i | −0.106160 | + | 0.0612914i | ||||
\(792\) | −643.314 | − | 1193.01i | −0.812265 | − | 1.50632i | ||||
\(793\) | 160.824 | − | 278.555i | 0.202805 | − | 0.351268i | ||||
\(794\) | 1293.98 | − | 273.810i | 1.62970 | − | 0.344848i | ||||
\(795\) | −90.9064 | − | 184.372i | −0.114348 | − | 0.231914i | ||||
\(796\) | −483.349 | − | 1090.98i | −0.607222 | − | 1.37057i | ||||
\(797\) | 50.5238 | − | 18.3892i | 0.0633925 | − | 0.0230730i | −0.310129 | − | 0.950694i | \(-0.600372\pi\) |
0.373522 | + | 0.927621i | \(0.378150\pi\) | |||||||
\(798\) | 42.5491 | − | 1349.26i | 0.0533197 | − | 1.69080i | ||||
\(799\) | 792.295 | − | 139.703i | 0.991609 | − | 0.174847i | ||||
\(800\) | −536.888 | − | 198.191i | −0.671110 | − | 0.247739i | ||||
\(801\) | −600.685 | + | 133.082i | −0.749919 | + | 0.166145i | ||||
\(802\) | −714.298 | + | 445.437i | −0.890646 | + | 0.555407i | ||||
\(803\) | 441.896 | + | 526.631i | 0.550306 | + | 0.655829i | ||||
\(804\) | −143.227 | − | 390.510i | −0.178143 | − | 0.485709i | ||||
\(805\) | −55.3648 | + | 313.990i | −0.0687762 | + | 0.390049i | ||||
\(806\) | −55.0001 | − | 43.0517i | −0.0682383 | − | 0.0534140i | ||||
\(807\) | 310.885 | − | 227.918i | 0.385235 | − | 0.282426i | ||||
\(808\) | −332.001 | + | 1316.21i | −0.410892 | + | 1.62898i | ||||
\(809\) | 491.114 | 0.607063 | 0.303531 | − | 0.952821i | \(-0.401834\pi\) | ||||
0.303531 | + | 0.952821i | \(0.401834\pi\) | |||||||
\(810\) | −195.728 | − | 385.268i | −0.241640 | − | 0.475640i | ||||
\(811\) | − | 1304.91i | − | 1.60901i | −0.593943 | − | 0.804507i | \(-0.702430\pi\) | ||
0.593943 | − | 0.804507i | \(-0.297570\pi\) | |||||||
\(812\) | −305.357 | + | 1057.62i | −0.376056 | + | 1.30248i | ||||
\(813\) | 307.967 | + | 420.075i | 0.378803 | + | 0.516697i | ||||
\(814\) | −275.826 | − | 215.905i | −0.338852 | − | 0.265239i | ||||
\(815\) | −471.107 | − | 83.0688i | −0.578045 | − | 0.101925i | ||||
\(816\) | 646.615 | − | 288.390i | 0.792420 | − | 0.353419i | ||||
\(817\) | 1086.93 | − | 912.043i | 1.33039 | − | 1.11633i | ||||
\(818\) | 660.465 | − | 411.867i | 0.807415 | − | 0.503504i | ||||
\(819\) | −227.449 | + | 208.361i | −0.277715 | + | 0.254409i | ||||
\(820\) | 104.490 | − | 213.246i | 0.127426 | − | 0.260056i | ||||
\(821\) | 227.261 | + | 1288.86i | 0.276810 | + | 1.56987i | 0.733152 | + | 0.680065i | \(0.238049\pi\) |
−0.456341 | + | 0.889805i | \(0.650840\pi\) | |||||||
\(822\) | −41.5873 | + | 1318.76i | −0.0505929 | + | 1.60433i | ||||
\(823\) | 45.6295 | + | 125.366i | 0.0554428 | + | 0.152328i | 0.964322 | − | 0.264731i | \(-0.0852831\pi\) |
−0.908879 | + | 0.417059i | \(0.863061\pi\) | |||||||
\(824\) | −97.2385 | + | 47.0971i | −0.118008 | + | 0.0571567i | ||||
\(825\) | 905.894 | − | 446.660i | 1.09805 | − | 0.541406i | ||||
\(826\) | −206.010 | + | 43.5923i | −0.249407 | + | 0.0527752i | ||||
\(827\) | 1078.20 | + | 622.498i | 1.30375 | + | 0.752718i | 0.981044 | − | 0.193783i | \(-0.0620757\pi\) |
0.322701 | + | 0.946501i | \(0.395409\pi\) | |||||||
\(828\) | 40.0727 | − | 634.732i | 0.0483970 | − | 0.766585i | ||||
\(829\) | −494.673 | − | 856.798i | −0.596710 | − | 1.03353i | −0.993303 | − | 0.115538i | \(-0.963141\pi\) |
0.396593 | − | 0.917995i | \(-0.370193\pi\) | |||||||
\(830\) | −5.59748 | + | 5.03075i | −0.00674395 | + | 0.00606114i | ||||
\(831\) | 114.900 | − | 469.416i | 0.138267 | − | 0.564881i | ||||
\(832\) | 9.53976 | + | 324.072i | 0.0114661 | + | 0.389509i | ||||
\(833\) | −36.4583 | − | 30.5921i | −0.0437674 | − | 0.0367252i | ||||
\(834\) | 1104.76 | + | 442.010i | 1.32465 | + | 0.529988i | ||||
\(835\) | −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 | −0.946115 | − | 0.323832i | \(-0.895029\pi\) |
0.932921 | + | 0.360081i | \(0.117251\pi\) | |||||||
\(840\) | −90.7129 | − | 423.529i | −0.107992 | − | 0.504201i | ||||
\(841\) | 623.260 | + | 522.977i | 0.741094 | + | 0.621852i | ||||
\(842\) | 849.074 | + | 120.120i | 1.00840 | + | 0.142661i | ||||
\(843\) | −176.139 | − | 168.639i | −0.208943 | − | 0.200047i | ||||
\(844\) | 223.877 | + | 232.680i | 0.265257 | + | 0.275687i | ||||
\(845\) | 191.177 | + | 331.128i | 0.226245 | + | 0.391867i | ||||
\(846\) | 76.0010 | + | 978.823i | 0.0898357 | + | 1.15700i | ||||
\(847\) | 1367.43 | + | 789.486i | 1.61444 | + | 0.932096i | ||||
\(848\) | 125.578 | + | 391.346i | 0.148087 | + | 0.461493i | ||||
\(849\) | 799.350 | + | 534.188i | 0.941520 | + | 0.629197i | ||||
\(850\) | 197.195 | + | 489.361i | 0.231994 | + | 0.575719i | ||||
\(851\) | −56.2148 | − | 154.449i | −0.0660574 | − | 0.181491i | ||||
\(852\) | −285.136 | − | 163.686i | −0.334667 | − | 0.192120i | ||||
\(853\) | 156.148 | + | 885.558i | 0.183057 | + | 1.03817i | 0.928426 | + | 0.371517i | \(0.121162\pi\) |
−0.745369 | + | 0.666652i | \(0.767727\pi\) | |||||||
\(854\) | 404.038 | − | 758.215i | 0.473113 | − | 0.887840i | ||||
\(855\) | 797.608 | − | 34.7148i | 0.932875 | − | 0.0406021i | ||||
\(856\) | −755.035 | − | 1045.23i | −0.882051 | − | 1.22106i | ||||
\(857\) | 936.816 | − | 786.082i | 1.09313 | − | 0.917249i | 0.0961902 | − | 0.995363i | \(-0.469334\pi\) |
0.996944 | + | 0.0781141i | \(0.0248899\pi\) | |||||||
\(858\) | −426.509 | − | 381.426i | −0.497096 | − | 0.444553i | ||||
\(859\) | 256.657 | + | 45.2555i | 0.298785 | + | 0.0526839i | 0.321031 | − | 0.947069i | \(-0.395971\pi\) |
−0.0222459 | + | 0.999753i | \(0.507082\pi\) | |||||||
\(860\) | 268.268 | − | 367.824i | 0.311939 | − | 0.427703i | ||||
\(861\) | −449.041 | + | 49.1468i | −0.521534 | + | 0.0570811i | ||||
\(862\) | 214.542 | + | 69.9256i | 0.248889 | + | 0.0811201i | ||||
\(863\) | − | 545.581i | − | 0.632191i | −0.948727 | − | 0.316095i | \(-0.897628\pi\) | ||
0.948727 | − | 0.316095i | \(-0.102372\pi\) | |||||||
\(864\) | 273.818 | + | 819.463i | 0.316918 | + | 0.948453i | ||||
\(865\) | −661.572 | −0.764823 | ||||||||
\(866\) | −101.855 | + | 312.507i | −0.117616 | + | 0.360862i | ||||
\(867\) | 196.138 | + | 86.3190i | 0.226227 | + | 0.0995606i | ||||
\(868\) | −150.733 | − | 109.935i | −0.173656 | − | 0.126653i | ||||
\(869\) | −420.012 | + | 2382.01i | −0.483328 | + | 2.74109i | ||||
\(870\) | −637.262 | − | 133.203i | −0.732485 | − | 0.153107i | ||||
\(871\) | −112.869 | − | 134.512i | −0.129585 | − | 0.154433i | ||||
\(872\) | 434.536 | − | 313.894i | 0.498321 | − | 0.359970i | ||||
\(873\) | −1013.99 | − | 133.636i | −1.16150 | − | 0.153076i | ||||
\(874\) | 1036.95 | + | 552.572i | 1.18644 | + | 0.632233i | ||||
\(875\) | 762.189 | − | 134.395i | 0.871074 | − | 0.153594i | ||||
\(876\) | −220.049 | − | 378.972i | −0.251197 | − | 0.432617i | ||||
\(877\) | −555.246 | + | 202.093i | −0.633119 | + | 0.230437i | −0.638588 | − | 0.769548i | \(-0.720481\pi\) |
0.00546906 | + | 0.999985i | \(0.498259\pi\) | |||||||
\(878\) | 1225.94 | − | 494.008i | 1.39628 | − | 0.562652i | ||||
\(879\) | −151.019 | − | 9.90872i | −0.171808 | − | 0.0112727i | ||||
\(880\) | 765.032 | − | 245.489i | 0.869355 | − | 0.278965i | ||||
\(881\) | −515.317 | + | 892.555i | −0.584922 | + | 1.01312i | 0.409963 | + | 0.912102i | \(0.365542\pi\) |
−0.994885 | + | 0.101013i | \(0.967792\pi\) | |||||||
\(882\) | 41.4673 | − | 40.6643i | 0.0470151 | − | 0.0461046i | ||||
\(883\) | −1233.98 | + | 712.438i | −1.39748 | + | 0.806838i | −0.994129 | − | 0.108205i | \(-0.965490\pi\) |
−0.403356 | + | 0.915043i | \(0.632156\pi\) | |||||||
\(884\) | 215.380 | − | 207.232i | 0.243643 | − | 0.234425i | ||||
\(885\) | −34.8402 | − | 119.562i | −0.0393675 | − | 0.135098i | ||||
\(886\) | 65.4789 | − | 462.840i | 0.0739040 | − | 0.522393i | ||||
\(887\) | −116.721 | + | 139.102i | −0.131590 | + | 0.156823i | −0.827816 | − | 0.561000i | \(-0.810417\pi\) |
0.696226 | + | 0.717823i | \(0.254861\pi\) | |||||||
\(888\) | 149.664 | + | 165.700i | 0.168541 | + | 0.186599i | ||||
\(889\) | −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 | ||||
\(894\) | 817.879 | + | 1039.57i | 0.914853 | + | 1.16283i | ||||
\(895\) | −48.5080 | + | 57.8096i | −0.0541989 | + | 0.0645918i | ||||
\(896\) | 54.8867 | + | 864.256i | 0.0612575 | + | 0.964572i | ||||
\(897\) | −75.1126 | − | 257.766i | −0.0837376 | − | 0.287364i | ||||
\(898\) | −328.101 | − | 365.062i | −0.365368 | − | 0.406528i | ||||
\(899\) | −242.851 | + | 140.210i | −0.270135 | + | 0.155962i | ||||
\(900\) | −617.683 | + | 181.648i | −0.686315 | + | 0.201831i | ||||
\(901\) | 189.448 | − | 328.134i | 0.210265 | − | 0.364189i | ||||
\(902\) | −173.468 | − | 819.782i | −0.192315 | − | 0.908849i | ||||
\(903\) | −864.152 | − | 56.6990i | −0.956979 | − | 0.0627896i | ||||
\(904\) | 49.9786 | + | 103.188i | 0.0552860 | + | 0.114146i | ||||
\(905\) | 672.998 | − | 244.951i | 0.743644 | − | 0.270664i | ||||
\(906\) | 298.178 | + | 556.245i | 0.329115 | + | 0.613957i | ||||
\(907\) | 576.345 | − | 101.625i | 0.635441 | − | 0.112045i | 0.153358 | − | 0.988171i | \(-0.450991\pi\) |
0.482083 | + | 0.876125i | \(0.339880\pi\) | |||||||
\(908\) | 1098.33 | + | 538.176i | 1.20961 | + | 0.592705i | ||||
\(909\) | 584.210 | + | 1410.96i | 0.642695 | + | 1.55221i | ||||
\(910\) | −96.7533 | − | 155.153i | −0.106322 | − | 0.170497i | ||||
\(911\) | 88.0696 | + | 104.957i | 0.0966735 | + | 0.115211i | 0.812212 | − | 0.583362i | \(-0.198263\pi\) |
−0.715539 | + | 0.698573i | \(0.753819\pi\) | |||||||
\(912\) | −1587.59 | − | 165.830i | −1.74078 | − | 0.181831i | ||||
\(913\) | −4.61141 | + | 26.1526i | −0.00505083 | + | 0.0286447i | ||||
\(914\) | −563.054 | + | 719.322i | −0.616033 | + | 0.787004i | ||||
\(915\) | 465.066 | + | 204.672i | 0.508268 | + | 0.223685i | ||||
\(916\) | 851.175 | + | 245.753i | 0.929231 | + | 0.268290i | ||||
\(917\) | −527.947 | −0.575733 | ||||||||
\(918\) | 389.970 | − | 694.518i | 0.424804 | − | 0.756556i | ||||
\(919\) | 654.910i | 0.712633i | 0.934365 | + | 0.356316i | \(0.115967\pi\) | ||||
−0.934365 | + | 0.356316i | \(0.884033\pi\) | |||||||
\(920\) | 365.555 | + | 92.2074i | 0.397343 | + | 0.100225i | ||||
\(921\) | −375.722 | + | 41.1221i | −0.407950 | + | 0.0446494i | ||||
\(922\) | −804.265 | + | 1027.48i | −0.872305 | + | 1.11440i | ||||
\(923\) | −136.686 | − | 24.1014i | −0.148089 | − | 0.0261121i | ||||
\(924\) | −1173.21 | − | 979.513i | −1.26971 | − | 1.06008i | ||||
\(925\) | −127.461 | + | 106.952i | −0.137795 | + | 0.115624i | ||||
\(926\) | 253.262 | + | 406.128i | 0.273501 | + | 0.438583i | ||||
\(927\) | −56.1400 | + | 107.808i | −0.0605609 | + | 0.116298i | ||||
\(928\) | 1221.12 | + | 450.773i | 1.31586 | + | 0.485747i | ||||
\(929\) | 78.7080 | + | 446.375i | 0.0847234 | + | 0.480490i | 0.997416 | + | 0.0718432i | \(0.0228881\pi\) |
−0.912693 | + | 0.408647i | \(0.866001\pi\) | |||||||
\(930\) | 58.1526 | − | 93.7677i | 0.0625297 | − | 0.100826i | ||||
\(931\) | 36.6984 | + | 100.828i | 0.0394183 | + | 0.108301i | ||||
\(932\) | −308.114 | + | 136.508i | −0.330594 | + | 0.146467i | ||||
\(933\) | 572.000 | + | 382.255i | 0.613076 | + | 0.409705i | ||||
\(934\) | 38.9891 | + | 184.256i | 0.0417442 | + | 0.197276i | ||||
\(935\) | −641.461 | − | 370.348i | −0.686055 | − | 0.396094i | ||||
\(936\) | 226.233 | + | 286.099i | 0.241702 | + | 0.305662i | ||||
\(937\) | −245.002 | − | 424.356i | −0.261475 | − | 0.452888i | 0.705159 | − | 0.709049i | \(-0.250875\pi\) |
−0.966634 | + | 0.256161i | \(0.917542\pi\) | |||||||
\(938\) | −313.519 | − | 348.838i | −0.334242 | − | 0.371895i | ||||
\(939\) | 640.827 | + | 613.542i | 0.682457 | + | 0.653400i | ||||
\(940\) | −578.672 | − | 61.8894i | −0.615609 | − | 0.0658398i | ||||
\(941\) | 251.005 | + | 210.618i | 0.266743 | + | 0.223824i | 0.766342 | − | 0.642433i | \(-0.222075\pi\) |
−0.499599 | + | 0.866257i | \(0.666519\pi\) | |||||||
\(942\) | 1583.15 | − | 227.960i | 1.68063 | − | 0.241995i | ||||
\(943\) | 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 | \(-0.662767\pi\) |
0.935432 | − | 0.353507i | \(-0.115011\pi\) | |||||||
\(948\) | 523.759 | − | 1450.14i | 0.552488 | − | 1.52969i | ||||
\(949\) | −141.716 | − | 118.914i | −0.149332 | − | 0.125304i | ||||
\(950\) | 166.619 | − | 1177.75i | 0.175388 | − | 1.23974i | ||||
\(951\) | 134.597 | − | 549.891i | 0.141532 | − | 0.578224i | ||||
\(952\) | 556.154 | − | 572.766i | 0.584195 | − | 0.601645i | ||||
\(953\) | 25.7103 | + | 44.5315i | 0.0269782 | + | 0.0467277i | 0.879199 | − | 0.476454i | \(-0.158078\pi\) |
−0.852221 | + | 0.523182i | \(0.824745\pi\) | |||||||
\(954\) | 376.145 | + | 268.898i | 0.394282 | + | 0.281864i | ||||
\(955\) | 72.6954 | + | 41.9707i | 0.0761209 | + | 0.0439484i | ||||
\(956\) | −483.420 | + | 119.593i | −0.505670 | + | 0.125097i | ||||
\(957\) | −2060.39 | + | 1015.90i | −2.15297 | + | 1.06154i | ||||
\(958\) | −636.249 | + | 256.386i | −0.664143 | + | 0.267626i | ||||
\(959\) | 508.848 | + | 1398.05i | 0.530603 | + | 1.45782i | ||||
\(960\) | −507.261 | + | 70.6789i | −0.528397 | + | 0.0736239i | ||||
\(961\) | 158.623 | + | 899.597i | 0.165061 | + | 0.936105i | ||||
\(962\) | 83.1860 | + | 44.3282i | 0.0864719 | + | 0.0460792i | ||||
\(963\) | −1383.39 | − | 436.389i | −1.43654 | − | 0.453156i | ||||
\(964\) | 338.614 | + | 503.999i | 0.351260 | + | 0.522821i | ||||
\(965\) | 476.141 | − | 399.530i | 0.493411 | − | 0.414021i | ||||
\(966\) | −223.917 | − | 681.297i | −0.231798 | − | 0.705276i | ||||
\(967\) | −74.2039 | − | 13.0841i | −0.0767362 | − | 0.0135307i | 0.135148 | − | 0.990825i | \(-0.456849\pi\) |
−0.211884 | + | 0.977295i | \(0.567960\pi\) | |||||||
\(968\) | 1048.28 | − | 1544.99i | 1.08293 | − | 1.59607i | ||||
\(969\) | 870.056 | + | 1186.78i | 0.897890 | + | 1.22474i | ||||
\(970\) | 187.874 | − | 576.425i | 0.193684 | − | 0.594253i | ||||
\(971\) | 1155.37i | 1.18988i | 0.803770 | + | 0.594940i | \(0.202824\pi\) | ||||
−0.803770 | + | 0.594940i | \(0.797176\pi\) | |||||||
\(972\) | 797.437 | + | 555.768i | 0.820409 | + | 0.571777i | ||||
\(973\) | 1341.73 | 1.37896 | ||||||||
\(974\) | −848.873 | − | 276.673i | −0.871533 | − | 0.284058i | ||||
\(975\) | −219.200 | + | 160.701i | −0.224821 | + | 0.164822i | ||||
\(976\) | −859.562 | − | 541.489i | −0.880699 | − | 0.554804i | ||||
\(977\) | 117.331 | − | 665.415i | 0.120093 | − | 0.681080i | −0.864009 | − | 0.503476i | \(-0.832054\pi\) |
0.984102 | − | 0.177604i | \(-0.0568346\pi\) | |||||||
\(978\) | 1022.21 | − | 335.962i | 1.04520 | − | 0.343520i | ||||
\(979\) | −827.205 | − | 985.824i | −0.844949 | − | 1.00697i | ||||
\(980\) | 19.1996 | + | 28.5770i | 0.0195914 | + | 0.0291602i | ||||
\(981\) | 181.422 | − | 575.121i | 0.184936 | − | 0.586260i | ||||
\(982\) | 5.64005 | − | 10.5841i | 0.00574344 | − | 0.0107781i | ||||
\(983\) | −355.871 | + | 62.7497i | −0.362026 | + | 0.0638349i | −0.351702 | − | 0.936112i | \(-0.614397\pi\) |
−0.0103231 | + | 0.999947i | \(0.503286\pi\) | |||||||
\(984\) | 19.4717 | + | 533.785i | 0.0197883 | + | 0.542464i | ||||
\(985\) | −631.942 | + | 230.008i | −0.641565 | + | 0.233511i | ||||
\(986\) | −448.507 | − | 1113.02i | −0.454875 | − | 1.12882i | ||||
\(987\) | 489.565 | + | 992.911i | 0.496013 | + | 1.00599i | ||||
\(988\) | −654.128 | + | 161.824i | −0.662073 | + | 0.163790i | ||||
\(989\) | 376.892 | − | 652.796i | 0.381084 | − | 0.660057i | ||||
\(990\) | 525.662 | − | 735.316i | 0.530971 | − | 0.742744i | ||||
\(991\) | −1393.22 | + | 804.374i | −1.40587 | + | 0.811679i | −0.994987 | − | 0.100009i | \(-0.968113\pi\) |
−0.410883 | + | 0.911688i | \(0.634779\pi\) | |||||||
\(992\) | −142.571 | + | 168.343i | −0.143721 | + | 0.169701i | ||||
\(993\) | 517.480 | + | 126.664i | 0.521128 | + | 0.127557i | ||||
\(994\) | −367.077 | − | 51.9311i | −0.369293 | − | 0.0522446i | ||||
\(995\) | 511.500 | − | 609.582i | 0.514070 | − | 0.612645i | ||||
\(996\) | 5.75047 | − | 15.9215i | 0.00577356 | − | 0.0159854i | ||||
\(997\) | −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.31.15 | yes | 204 | |
3.2 | odd | 2 | 324.3.j.a.307.20 | 204 | |||
4.3 | odd | 2 | inner | 108.3.j.a.31.23 | yes | 204 | |
12.11 | even | 2 | 324.3.j.a.307.12 | 204 | |||
27.7 | even | 9 | inner | 108.3.j.a.7.23 | yes | 204 | |
27.20 | odd | 18 | 324.3.j.a.19.12 | 204 | |||
108.7 | odd | 18 | inner | 108.3.j.a.7.15 | ✓ | 204 | |
108.47 | even | 18 | 324.3.j.a.19.20 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.15 | ✓ | 204 | 108.7 | odd | 18 | inner | |
108.3.j.a.7.23 | yes | 204 | 27.7 | even | 9 | inner | |
108.3.j.a.31.15 | yes | 204 | 1.1 | even | 1 | trivial | |
108.3.j.a.31.23 | yes | 204 | 4.3 | odd | 2 | inner | |
324.3.j.a.19.12 | 204 | 27.20 | odd | 18 | |||
324.3.j.a.19.20 | 204 | 108.47 | even | 18 | |||
324.3.j.a.307.12 | 204 | 12.11 | even | 2 | |||
324.3.j.a.307.20 | 204 | 3.2 | odd | 2 |