Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,3,Mod(3,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([33, 32]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.k (of order \(44\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.26704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 3.5 | ||
Character | \(\chi\) | \(=\) | 230.3 |
Dual form | 230.3.k.b.77.5 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{8}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.13214 | + | 0.847507i | 0.566068 | + | 0.423753i | ||||
\(3\) | −1.46393 | + | 0.546016i | −0.487975 | + | 0.182005i | −0.581395 | − | 0.813622i | \(-0.697493\pi\) |
0.0934198 | + | 0.995627i | \(0.470220\pi\) | |||||||
\(4\) | 0.563465 | + | 1.91899i | 0.140866 | + | 0.479746i | ||||
\(5\) | −4.98248 | − | 0.418219i | −0.996496 | − | 0.0836438i | ||||
\(6\) | −2.12011 | − | 0.622522i | −0.353352 | − | 0.103754i | ||||
\(7\) | 2.78627 | − | 12.8083i | 0.398038 | − | 1.82975i | −0.144229 | − | 0.989544i | \(-0.546070\pi\) |
0.542267 | − | 0.840207i | \(-0.317566\pi\) | |||||||
\(8\) | −0.988434 | + | 2.65009i | −0.123554 | + | 0.331262i | ||||
\(9\) | −4.95680 | + | 4.29509i | −0.550756 | + | 0.477233i | ||||
\(10\) | −5.28640 | − | 4.69616i | −0.528640 | − | 0.469616i | ||||
\(11\) | 1.69680 | − | 11.8015i | 0.154254 | − | 1.07286i | −0.754731 | − | 0.656034i | \(-0.772233\pi\) |
0.908986 | − | 0.416828i | \(-0.136858\pi\) | |||||||
\(12\) | −1.87267 | − | 2.50159i | −0.156056 | − | 0.208466i | ||||
\(13\) | −1.29227 | − | 5.94049i | −0.0994057 | − | 0.456960i | −0.999762 | − | 0.0218074i | \(-0.993058\pi\) |
0.900357 | − | 0.435153i | \(-0.143306\pi\) | |||||||
\(14\) | 14.0095 | − | 12.1393i | 1.00068 | − | 0.867094i | ||||
\(15\) | 7.52233 | − | 2.10827i | 0.501489 | − | 0.140551i | ||||
\(16\) | −3.36501 | + | 2.16256i | −0.210313 | + | 0.135160i | ||||
\(17\) | 8.78312 | − | 4.79595i | 0.516654 | − | 0.282114i | −0.199693 | − | 0.979858i | \(-0.563995\pi\) |
0.716347 | + | 0.697744i | \(0.245813\pi\) | |||||||
\(18\) | −9.25190 | + | 0.661709i | −0.513994 | + | 0.0367616i | ||||
\(19\) | −1.50894 | − | 5.13899i | −0.0794181 | − | 0.270473i | 0.910206 | − | 0.414157i | \(-0.135923\pi\) |
−0.989624 | + | 0.143683i | \(0.954105\pi\) | |||||||
\(20\) | −2.00490 | − | 9.79696i | −0.100245 | − | 0.489848i | ||||
\(21\) | 2.91463 | + | 20.2717i | 0.138792 | + | 0.965318i | ||||
\(22\) | 11.9228 | − | 11.9228i | 0.541947 | − | 0.541947i | ||||
\(23\) | −22.9064 | − | 2.07245i | −0.995932 | − | 0.0901064i | ||||
\(24\) | − | 4.41924i | − | 0.184135i | ||||||
\(25\) | 24.6502 | + | 4.16753i | 0.986007 | + | 0.166701i | ||||
\(26\) | 3.57157 | − | 7.82065i | 0.137368 | − | 0.300794i | ||||
\(27\) | 11.6504 | − | 21.3361i | 0.431495 | − | 0.790224i | ||||
\(28\) | 26.1488 | − | 1.87020i | 0.933887 | − | 0.0667929i | ||||
\(29\) | 1.85753 | − | 6.32617i | 0.0640528 | − | 0.218144i | −0.921247 | − | 0.388978i | \(-0.872828\pi\) |
0.985300 | + | 0.170834i | \(0.0546463\pi\) | |||||||
\(30\) | 10.3031 | + | 3.98837i | 0.343436 | + | 0.132946i | ||||
\(31\) | −11.2121 | − | 24.5511i | −0.361681 | − | 0.791972i | −0.999758 | − | 0.0219988i | \(-0.992997\pi\) |
0.638077 | − | 0.769973i | \(-0.279730\pi\) | |||||||
\(32\) | −5.64244 | − | 0.403555i | −0.176326 | − | 0.0126111i | ||||
\(33\) | 3.95981 | + | 18.2030i | 0.119994 | + | 0.551605i | ||||
\(34\) | 14.0083 | + | 2.01409i | 0.412008 | + | 0.0592379i | ||||
\(35\) | −19.2392 | + | 62.6516i | −0.549690 | + | 1.79005i | ||||
\(36\) | −11.0352 | − | 7.09190i | −0.306534 | − | 0.196997i | ||||
\(37\) | −34.3258 | − | 2.45503i | −0.927724 | − | 0.0663522i | −0.400707 | − | 0.916206i | \(-0.631235\pi\) |
−0.527018 | + | 0.849854i | \(0.676690\pi\) | |||||||
\(38\) | 2.64700 | − | 7.09688i | 0.0696579 | − | 0.186760i | ||||
\(39\) | 5.13539 | + | 7.99082i | 0.131677 | + | 0.204893i | ||||
\(40\) | 6.03317 | − | 12.7907i | 0.150829 | − | 0.319766i | ||||
\(41\) | −50.2438 | + | 57.9844i | −1.22546 | + | 1.41425i | −0.346029 | + | 0.938224i | \(0.612470\pi\) |
−0.879429 | + | 0.476030i | \(0.842075\pi\) | |||||||
\(42\) | −13.8806 | + | 25.4205i | −0.330491 | + | 0.605249i | ||||
\(43\) | 36.7742 | − | 13.7161i | 0.855214 | − | 0.318978i | 0.116659 | − | 0.993172i | \(-0.462781\pi\) |
0.738554 | + | 0.674194i | \(0.235509\pi\) | |||||||
\(44\) | 23.6030 | − | 3.39359i | 0.536431 | − | 0.0771271i | ||||
\(45\) | 26.4935 | − | 19.3272i | 0.588743 | − | 0.429493i | ||||
\(46\) | −24.1768 | − | 21.7597i | −0.525583 | − | 0.473036i | ||||
\(47\) | −20.6252 | + | 20.6252i | −0.438834 | + | 0.438834i | −0.891620 | − | 0.452785i | \(-0.850430\pi\) |
0.452785 | + | 0.891620i | \(0.350430\pi\) | |||||||
\(48\) | 3.74534 | − | 5.00318i | 0.0780278 | − | 0.104233i | ||||
\(49\) | −111.716 | − | 51.0191i | −2.27992 | − | 1.04121i | ||||
\(50\) | 24.3754 | + | 25.6094i | 0.487507 | + | 0.512188i | ||||
\(51\) | −10.2392 | + | 11.8166i | −0.200768 | + | 0.231699i | ||||
\(52\) | 10.6716 | − | 5.82711i | 0.205222 | − | 0.112060i | ||||
\(53\) | 39.0914 | + | 8.50382i | 0.737574 | + | 0.160449i | 0.565632 | − | 0.824658i | \(-0.308632\pi\) |
0.171942 | + | 0.985107i | \(0.444996\pi\) | |||||||
\(54\) | 31.2723 | − | 14.2816i | 0.579116 | − | 0.264473i | ||||
\(55\) | −13.3899 | + | 58.0910i | −0.243452 | + | 1.05620i | ||||
\(56\) | 31.1890 | + | 20.0440i | 0.556947 | + | 0.357928i | ||||
\(57\) | 5.01495 | + | 6.69919i | 0.0879816 | + | 0.117530i | ||||
\(58\) | 7.46445 | − | 5.58782i | 0.128697 | − | 0.0963417i | ||||
\(59\) | 19.1026 | − | 29.7242i | 0.323772 | − | 0.503799i | −0.640768 | − | 0.767734i | \(-0.721384\pi\) |
0.964540 | + | 0.263935i | \(0.0850204\pi\) | |||||||
\(60\) | 8.28431 | + | 13.2473i | 0.138072 | + | 0.220788i | ||||
\(61\) | −44.1142 | − | 96.5967i | −0.723184 | − | 1.58355i | −0.809388 | − | 0.587275i | \(-0.800201\pi\) |
0.0862036 | − | 0.996278i | \(-0.472526\pi\) | |||||||
\(62\) | 8.11359 | − | 37.2976i | 0.130864 | − | 0.601574i | ||||
\(63\) | 41.2017 | + | 75.4553i | 0.653995 | + | 1.19770i | ||||
\(64\) | −6.04600 | − | 5.23889i | −0.0944687 | − | 0.0818576i | ||||
\(65\) | 3.95430 | + | 30.1388i | 0.0608354 | + | 0.463674i | ||||
\(66\) | −10.9441 | + | 23.9642i | −0.165819 | + | 0.363094i | ||||
\(67\) | 67.2476 | + | 50.3409i | 1.00370 | + | 0.751357i | 0.968752 | − | 0.248032i | \(-0.0797838\pi\) |
0.0349441 | + | 0.999389i | \(0.488875\pi\) | |||||||
\(68\) | 14.1523 | + | 14.1523i | 0.208123 | + | 0.208123i | ||||
\(69\) | 34.6649 | − | 9.47337i | 0.502390 | − | 0.137295i | ||||
\(70\) | −74.8790 | + | 54.6248i | −1.06970 | + | 0.780355i | ||||
\(71\) | 7.23835 | + | 50.3438i | 0.101949 | + | 0.709068i | 0.975124 | + | 0.221661i | \(0.0711479\pi\) |
−0.873175 | + | 0.487407i | \(0.837943\pi\) | |||||||
\(72\) | −6.48293 | − | 17.3814i | −0.0900407 | − | 0.241408i | ||||
\(73\) | 114.350 | + | 62.4398i | 1.56644 | + | 0.855339i | 0.999501 | + | 0.0315766i | \(0.0100528\pi\) |
0.566935 | + | 0.823762i | \(0.308129\pi\) | |||||||
\(74\) | −36.7808 | − | 31.8708i | −0.497038 | − | 0.430686i | ||||
\(75\) | −38.3616 | + | 7.35843i | −0.511488 | + | 0.0981124i | ||||
\(76\) | 9.01142 | − | 5.79129i | 0.118571 | − | 0.0762011i | ||||
\(77\) | −146.429 | − | 54.6151i | −1.90167 | − | 0.709286i | ||||
\(78\) | −0.958314 | + | 13.3990i | −0.0122861 | + | 0.171782i | ||||
\(79\) | −24.8314 | + | 38.6384i | −0.314321 | + | 0.489094i | −0.962086 | − | 0.272747i | \(-0.912068\pi\) |
0.647764 | + | 0.761841i | \(0.275704\pi\) | |||||||
\(80\) | 17.6705 | − | 9.36761i | 0.220882 | − | 0.117095i | ||||
\(81\) | 2.99528 | − | 20.8326i | 0.0369787 | − | 0.257193i | ||||
\(82\) | −106.025 | + | 23.0643i | −1.29299 | + | 0.281272i | ||||
\(83\) | −0.300215 | + | 4.19755i | −0.00361705 | + | 0.0505729i | −0.998940 | − | 0.0460298i | \(-0.985343\pi\) |
0.995323 | + | 0.0966027i | \(0.0307976\pi\) | |||||||
\(84\) | −37.2588 | + | 17.0155i | −0.443557 | + | 0.202566i | ||||
\(85\) | −45.7675 | + | 20.2224i | −0.538441 | + | 0.237911i | ||||
\(86\) | 53.2578 | + | 15.6379i | 0.619277 | + | 0.181836i | ||||
\(87\) | 0.734903 | + | 10.2753i | 0.00844716 | + | 0.118107i | ||||
\(88\) | 29.5979 | + | 16.1617i | 0.336339 | + | 0.183655i | ||||
\(89\) | 3.62806 | + | 1.65688i | 0.0407647 | + | 0.0186166i | 0.435693 | − | 0.900095i | \(-0.356503\pi\) |
−0.394928 | + | 0.918712i | \(0.629231\pi\) | |||||||
\(90\) | 46.3741 | + | 0.572370i | 0.515268 | + | 0.00635966i | ||||
\(91\) | −79.6879 | −0.875691 | ||||||||
\(92\) | −8.92998 | − | 45.1249i | −0.0970650 | − | 0.490488i | ||||
\(93\) | 29.8190 | + | 29.8190i | 0.320635 | + | 0.320635i | ||||
\(94\) | −40.8306 | + | 5.87055i | −0.434368 | + | 0.0624526i | ||||
\(95\) | 5.36906 | + | 26.2360i | 0.0565164 | + | 0.276168i | ||||
\(96\) | 8.48046 | − | 2.49009i | 0.0883381 | − | 0.0259384i | ||||
\(97\) | −12.0835 | − | 168.949i | −0.124572 | − | 1.74175i | −0.548589 | − | 0.836092i | \(-0.684835\pi\) |
0.424017 | − | 0.905654i | \(-0.360620\pi\) | |||||||
\(98\) | −83.2389 | − | 152.441i | −0.849377 | − | 1.55552i | ||||
\(99\) | 42.2778 | + | 65.7855i | 0.427048 | + | 0.664500i | ||||
\(100\) | 5.89208 | + | 49.6516i | 0.0589208 | + | 0.496516i | ||||
\(101\) | −4.42616 | − | 5.10806i | −0.0438234 | − | 0.0505749i | 0.733415 | − | 0.679781i | \(-0.237925\pi\) |
−0.777238 | + | 0.629207i | \(0.783380\pi\) | |||||||
\(102\) | −21.6068 | + | 4.70027i | −0.211831 | + | 0.0460811i | ||||
\(103\) | −13.1154 | + | 9.81806i | −0.127334 | + | 0.0953210i | −0.661046 | − | 0.750345i | \(-0.729887\pi\) |
0.533712 | + | 0.845666i | \(0.320796\pi\) | |||||||
\(104\) | 17.0202 | + | 2.44713i | 0.163655 | + | 0.0235301i | ||||
\(105\) | −6.04407 | − | 102.222i | −0.0575625 | − | 0.973544i | ||||
\(106\) | 37.0498 | + | 42.7577i | 0.349526 | + | 0.403375i | ||||
\(107\) | 123.969 | + | 46.2379i | 1.15858 | + | 0.432130i | 0.853958 | − | 0.520342i | \(-0.174196\pi\) |
0.304627 | + | 0.952472i | \(0.401468\pi\) | |||||||
\(108\) | 47.5082 | + | 10.3348i | 0.439890 | + | 0.0956923i | ||||
\(109\) | −0.600827 | + | 2.04623i | −0.00551217 | + | 0.0187727i | −0.962203 | − | 0.272333i | \(-0.912205\pi\) |
0.956691 | + | 0.291105i | \(0.0940230\pi\) | |||||||
\(110\) | −64.3916 | + | 54.4189i | −0.585378 | + | 0.494717i | ||||
\(111\) | 51.5909 | − | 15.1485i | 0.464783 | − | 0.136473i | ||||
\(112\) | 18.3228 | + | 49.1254i | 0.163597 | + | 0.438620i | ||||
\(113\) | 1.82653 | − | 2.43995i | 0.0161639 | − | 0.0215925i | −0.792386 | − | 0.610019i | \(-0.791162\pi\) |
0.808550 | + | 0.588427i | \(0.200253\pi\) | |||||||
\(114\) | 11.8346i | 0.103812i | ||||||||
\(115\) | 113.264 | + | 19.9058i | 0.984905 | + | 0.173094i | ||||
\(116\) | 13.1865 | 0.113677 | ||||||||
\(117\) | 31.9205 | + | 23.8954i | 0.272825 | + | 0.204234i | ||||
\(118\) | 46.8181 | − | 17.4623i | 0.396764 | − | 0.147985i | ||||
\(119\) | −36.9556 | − | 125.859i | −0.310551 | − | 1.05764i | ||||
\(120\) | −1.84821 | + | 22.0188i | −0.0154018 | + | 0.183490i | ||||
\(121\) | −20.2971 | − | 5.95977i | −0.167745 | − | 0.0492543i | ||||
\(122\) | 31.9230 | − | 146.748i | 0.261664 | − | 1.20285i | ||||
\(123\) | 41.8927 | − | 112.319i | 0.340591 | − | 0.913160i | ||||
\(124\) | 40.7956 | − | 35.3496i | 0.328997 | − | 0.285077i | ||||
\(125\) | −121.076 | − | 31.0738i | −0.968609 | − | 0.248591i | ||||
\(126\) | −17.3029 | + | 120.344i | −0.137325 | + | 0.955114i | ||||
\(127\) | 33.3765 | + | 44.5857i | 0.262807 | + | 0.351069i | 0.912463 | − | 0.409159i | \(-0.134178\pi\) |
−0.649656 | + | 0.760228i | \(0.725087\pi\) | |||||||
\(128\) | −2.40490 | − | 11.0552i | −0.0187883 | − | 0.0863684i | ||||
\(129\) | −46.3455 | + | 40.1586i | −0.359267 | + | 0.311307i | ||||
\(130\) | −21.0660 | + | 37.4725i | −0.162046 | + | 0.288250i | ||||
\(131\) | 197.392 | − | 126.856i | 1.50681 | − | 0.968370i | 0.512870 | − | 0.858466i | \(-0.328582\pi\) |
0.993942 | − | 0.109904i | \(-0.0350542\pi\) | |||||||
\(132\) | −32.7000 | + | 17.8556i | −0.247727 | + | 0.135269i | ||||
\(133\) | −70.0258 | + | 5.00835i | −0.526510 | + | 0.0376567i | ||||
\(134\) | 33.4692 | + | 113.986i | 0.249770 | + | 0.850639i | ||||
\(135\) | −66.9708 | + | 101.434i | −0.496080 | + | 0.751363i | ||||
\(136\) | 4.02817 | + | 28.0166i | 0.0296189 | + | 0.206004i | ||||
\(137\) | −46.8347 | + | 46.8347i | −0.341859 | + | 0.341859i | −0.857066 | − | 0.515207i | \(-0.827715\pi\) |
0.515207 | + | 0.857066i | \(0.327715\pi\) | |||||||
\(138\) | 47.2741 | + | 18.6536i | 0.342566 | + | 0.135171i | ||||
\(139\) | − | 36.3578i | − | 0.261567i | −0.991411 | − | 0.130784i | \(-0.958251\pi\) | ||
0.991411 | − | 0.130784i | \(-0.0417493\pi\) | |||||||
\(140\) | −131.068 | − | 1.61770i | −0.936201 | − | 0.0115550i | ||||
\(141\) | 18.9321 | − | 41.4555i | 0.134270 | − | 0.294010i | ||||
\(142\) | −34.4719 | + | 63.1306i | −0.242760 | + | 0.444582i | ||||
\(143\) | −72.2992 | + | 5.17094i | −0.505589 | + | 0.0361604i | ||||
\(144\) | 7.39130 | − | 25.1725i | 0.0513285 | − | 0.174809i | ||||
\(145\) | −11.9008 | + | 30.7432i | −0.0820747 | + | 0.212022i | ||||
\(146\) | 76.5415 | + | 167.603i | 0.524257 | + | 1.14796i | ||||
\(147\) | 191.401 | + | 13.6893i | 1.30205 | + | 0.0931245i | ||||
\(148\) | −14.6302 | − | 67.2541i | −0.0988529 | − | 0.454419i | ||||
\(149\) | −52.9040 | − | 7.60645i | −0.355061 | − | 0.0510500i | −0.0375232 | − | 0.999296i | \(-0.511947\pi\) |
−0.317537 | + | 0.948246i | \(0.602856\pi\) | |||||||
\(150\) | −49.6668 | − | 24.1809i | −0.331112 | − | 0.161206i | ||||
\(151\) | −164.187 | − | 105.517i | −1.08733 | − | 0.698785i | −0.131091 | − | 0.991370i | \(-0.541848\pi\) |
−0.956239 | + | 0.292585i | \(0.905484\pi\) | |||||||
\(152\) | 15.1103 | + | 1.08071i | 0.0994099 | + | 0.00710994i | ||||
\(153\) | −22.9371 | + | 61.4969i | −0.149916 | + | 0.401940i | ||||
\(154\) | −119.491 | − | 185.931i | −0.775913 | − | 1.20734i | ||||
\(155\) | 45.5964 | + | 127.015i | 0.294170 | + | 0.819449i | ||||
\(156\) | −12.4407 | + | 14.3573i | −0.0797479 | + | 0.0920339i | ||||
\(157\) | 61.3314 | − | 112.320i | 0.390646 | − | 0.715414i | −0.606155 | − | 0.795347i | \(-0.707289\pi\) |
0.996800 | + | 0.0799327i | \(0.0254705\pi\) | |||||||
\(158\) | −60.8588 | + | 22.6992i | −0.385182 | + | 0.143666i | ||||
\(159\) | −61.8702 | + | 8.89559i | −0.389120 | + | 0.0559471i | ||||
\(160\) | 27.9446 | + | 4.37048i | 0.174654 | + | 0.0273155i | ||||
\(161\) | −90.3679 | + | 287.617i | −0.561291 | + | 1.78644i | ||||
\(162\) | 21.0468 | − | 21.0468i | 0.129919 | − | 0.129919i | ||||
\(163\) | 158.819 | − | 212.157i | 0.974347 | − | 1.30158i | 0.0209748 | − | 0.999780i | \(-0.493323\pi\) |
0.953373 | − | 0.301796i | \(-0.0975861\pi\) | |||||||
\(164\) | −139.582 | − | 63.7449i | −0.851109 | − | 0.388688i | ||||
\(165\) | −12.1169 | − | 92.3519i | −0.0734355 | − | 0.559709i | ||||
\(166\) | −3.89734 | + | 4.49777i | −0.0234779 | + | 0.0270950i | ||||
\(167\) | 256.275 | − | 139.937i | 1.53458 | − | 0.837946i | 0.534609 | − | 0.845100i | \(-0.320459\pi\) |
0.999974 | + | 0.00715415i | \(0.00227726\pi\) | |||||||
\(168\) | −56.6028 | − | 12.3132i | −0.336921 | − | 0.0732927i | ||||
\(169\) | 120.108 | − | 54.8517i | 0.710701 | − | 0.324566i | ||||
\(170\) | −68.9536 | − | 15.8937i | −0.405610 | − | 0.0934922i | ||||
\(171\) | 29.5520 | + | 18.9919i | 0.172819 | + | 0.111064i | ||||
\(172\) | 47.0419 | + | 62.8406i | 0.273499 | + | 0.365352i | ||||
\(173\) | 226.321 | − | 169.421i | 1.30821 | − | 0.979315i | 0.308607 | − | 0.951190i | \(-0.400137\pi\) |
0.999604 | − | 0.0281248i | \(-0.00895360\pi\) | |||||||
\(174\) | −7.87636 | + | 12.2559i | −0.0452664 | + | 0.0704359i | ||||
\(175\) | 122.061 | − | 304.114i | 0.697490 | − | 1.73779i | ||||
\(176\) | 19.8117 | + | 43.3816i | 0.112566 | + | 0.246486i | ||||
\(177\) | −11.7349 | + | 53.9443i | −0.0662986 | + | 0.304770i | ||||
\(178\) | 2.70324 | + | 4.95062i | 0.0151868 | + | 0.0278125i | ||||
\(179\) | 94.6153 | + | 81.9846i | 0.528577 | + | 0.458014i | 0.877801 | − | 0.479025i | \(-0.159010\pi\) |
−0.349225 | + | 0.937039i | \(0.613555\pi\) | |||||||
\(180\) | 52.0167 | + | 39.9504i | 0.288982 | + | 0.221946i | ||||
\(181\) | 91.6798 | − | 200.751i | 0.506518 | − | 1.10912i | −0.467777 | − | 0.883846i | \(-0.654945\pi\) |
0.974296 | − | 0.225274i | \(-0.0723276\pi\) | |||||||
\(182\) | −90.2175 | − | 67.5360i | −0.495701 | − | 0.371077i | ||||
\(183\) | 117.323 | + | 117.323i | 0.641111 | + | 0.641111i | ||||
\(184\) | 28.1337 | − | 58.6557i | 0.152900 | − | 0.318781i | ||||
\(185\) | 170.001 | + | 26.5878i | 0.918923 | + | 0.143718i | ||||
\(186\) | 8.48737 | + | 59.0310i | 0.0456310 | + | 0.317371i | ||||
\(187\) | −41.6961 | − | 111.792i | −0.222974 | − | 0.597816i | ||||
\(188\) | −51.2011 | − | 27.9579i | −0.272346 | − | 0.148712i | ||||
\(189\) | −240.817 | − | 208.669i | −1.27416 | − | 1.10407i | ||||
\(190\) | −16.1567 | + | 34.2530i | −0.0850351 | + | 0.180279i | ||||
\(191\) | −226.117 | + | 145.317i | −1.18386 | + | 0.760820i | −0.976092 | − | 0.217359i | \(-0.930256\pi\) |
−0.207767 | + | 0.978178i | \(0.566620\pi\) | |||||||
\(192\) | 11.7114 | + | 4.36813i | 0.0609969 | + | 0.0227507i | ||||
\(193\) | −10.4892 | + | 146.658i | −0.0543480 | + | 0.759884i | 0.895081 | + | 0.445903i | \(0.147117\pi\) |
−0.949429 | + | 0.313981i | \(0.898337\pi\) | |||||||
\(194\) | 129.506 | − | 201.515i | 0.667554 | − | 1.03874i | ||||
\(195\) | −22.2451 | − | 41.9618i | −0.114077 | − | 0.215189i | ||||
\(196\) | 34.9567 | − | 243.129i | 0.178351 | − | 1.24046i | ||||
\(197\) | −208.332 | + | 45.3199i | −1.05752 | + | 0.230050i | −0.707516 | − | 0.706697i | \(-0.750184\pi\) |
−0.350007 | + | 0.936747i | \(0.613821\pi\) | |||||||
\(198\) | −7.88944 | + | 110.309i | −0.0398457 | + | 0.557115i | ||||
\(199\) | 72.4183 | − | 33.0723i | 0.363911 | − | 0.166193i | −0.225064 | − | 0.974344i | \(-0.572259\pi\) |
0.588975 | + | 0.808151i | \(0.299532\pi\) | |||||||
\(200\) | −35.4094 | + | 61.2060i | −0.177047 | + | 0.306030i | ||||
\(201\) | −125.932 | − | 36.9771i | −0.626530 | − | 0.183966i | ||||
\(202\) | −0.681901 | − | 9.53423i | −0.00337575 | − | 0.0471991i | ||||
\(203\) | −75.8516 | − | 41.4181i | −0.373653 | − | 0.204030i | ||||
\(204\) | −28.4454 | − | 12.9906i | −0.139438 | − | 0.0636792i | ||||
\(205\) | 274.589 | − | 267.893i | 1.33946 | − | 1.30680i | ||||
\(206\) | −23.1693 | −0.112472 | ||||||||
\(207\) | 122.444 | − | 88.1126i | 0.591517 | − | 0.425665i | ||||
\(208\) | 17.1952 | + | 17.1952i | 0.0826692 | + | 0.0826692i | ||||
\(209\) | −63.2081 | + | 9.08795i | −0.302431 | + | 0.0434830i | ||||
\(210\) | 79.7912 | − | 120.852i | 0.379958 | − | 0.575485i | ||||
\(211\) | −274.493 | + | 80.5984i | −1.30091 | + | 0.381983i | −0.857570 | − | 0.514368i | \(-0.828027\pi\) |
−0.443345 | + | 0.896351i | \(0.646208\pi\) | |||||||
\(212\) | 5.70795 | + | 79.8075i | 0.0269243 | + | 0.376451i | ||||
\(213\) | −38.0849 | − | 69.7473i | −0.178802 | − | 0.327452i | ||||
\(214\) | 101.162 | + | 157.412i | 0.472721 | + | 0.735569i | ||||
\(215\) | −188.963 | + | 52.9603i | −0.878897 | + | 0.246327i | ||||
\(216\) | 45.0269 | + | 51.9638i | 0.208458 | + | 0.240573i | ||||
\(217\) | −345.697 | + | 75.2018i | −1.59307 | + | 0.346552i | ||||
\(218\) | −2.41441 | + | 1.80740i | −0.0110753 | + | 0.00829085i | ||||
\(219\) | −201.493 | − | 28.9703i | −0.920058 | − | 0.132284i | ||||
\(220\) | −119.020 | + | 7.03730i | −0.541002 | + | 0.0319877i | ||||
\(221\) | −39.8404 | − | 45.9783i | −0.180273 | − | 0.208047i | ||||
\(222\) | 71.2463 | + | 26.5735i | 0.320929 | + | 0.119700i | ||||
\(223\) | −181.554 | − | 39.4947i | −0.814143 | − | 0.177106i | −0.213830 | − | 0.976871i | \(-0.568594\pi\) |
−0.600313 | + | 0.799765i | \(0.704958\pi\) | |||||||
\(224\) | −20.8902 | + | 71.1454i | −0.0932597 | + | 0.317613i | ||||
\(225\) | −140.086 | + | 85.2172i | −0.622605 | + | 0.378743i | ||||
\(226\) | 4.13575 | − | 1.21437i | 0.0182998 | − | 0.00537330i | ||||
\(227\) | −43.3332 | − | 116.181i | −0.190895 | − | 0.511810i | 0.805878 | − | 0.592082i | \(-0.201694\pi\) |
−0.996773 | + | 0.0802722i | \(0.974421\pi\) | |||||||
\(228\) | −10.0299 | + | 13.3984i | −0.0439908 | + | 0.0587648i | ||||
\(229\) | 295.039i | 1.28838i | 0.764866 | + | 0.644190i | \(0.222805\pi\) | ||||
−0.764866 | + | 0.644190i | \(0.777195\pi\) | |||||||
\(230\) | 111.360 | + | 118.528i | 0.484174 | + | 0.515340i | ||||
\(231\) | 244.181 | 1.05706 | ||||||||
\(232\) | 14.9289 | + | 11.1756i | 0.0643487 | + | 0.0481708i | ||||
\(233\) | −6.83102 | + | 2.54784i | −0.0293177 | + | 0.0109349i | −0.364080 | − | 0.931368i | \(-0.618617\pi\) |
0.334763 | + | 0.942303i | \(0.391344\pi\) | |||||||
\(234\) | 15.8869 | + | 54.1056i | 0.0678925 | + | 0.231221i | ||||
\(235\) | 111.391 | − | 94.1388i | 0.474002 | − | 0.400591i | ||||
\(236\) | 67.8039 | + | 19.9090i | 0.287305 | + | 0.0843602i | ||||
\(237\) | 15.2541 | − | 70.1221i | 0.0643634 | − | 0.295874i | ||||
\(238\) | 64.8277 | − | 173.810i | 0.272385 | − | 0.730294i | ||||
\(239\) | −161.387 | + | 139.843i | −0.675259 | + | 0.585115i | −0.923507 | − | 0.383581i | \(-0.874691\pi\) |
0.248248 | + | 0.968696i | \(0.420145\pi\) | |||||||
\(240\) | −20.7535 | + | 23.3619i | −0.0864728 | + | 0.0973412i | ||||
\(241\) | 6.78316 | − | 47.1779i | 0.0281459 | − | 0.195759i | −0.970897 | − | 0.239497i | \(-0.923018\pi\) |
0.999043 | + | 0.0437378i | \(0.0139266\pi\) | |||||||
\(242\) | −17.9282 | − | 23.9492i | −0.0740833 | − | 0.0989637i | ||||
\(243\) | 53.4965 | + | 245.920i | 0.220150 | + | 1.01201i | ||||
\(244\) | 160.511 | − | 139.083i | 0.657831 | − | 0.570014i | ||||
\(245\) | 535.286 | + | 300.923i | 2.18484 | + | 1.22826i | ||||
\(246\) | 142.619 | − | 91.6557i | 0.579753 | − | 0.372584i | ||||
\(247\) | −28.5781 | + | 15.6048i | −0.115701 | + | 0.0631775i | ||||
\(248\) | 76.1452 | − | 5.44601i | 0.307037 | − | 0.0219597i | ||||
\(249\) | −1.85244 | − | 6.30882i | −0.00743951 | − | 0.0253366i | ||||
\(250\) | −110.739 | − | 137.793i | −0.442957 | − | 0.551170i | ||||
\(251\) | 29.4544 | + | 204.860i | 0.117348 | + | 0.816174i | 0.960456 | + | 0.278430i | \(0.0898141\pi\) |
−0.843108 | + | 0.537744i | \(0.819277\pi\) | |||||||
\(252\) | −121.582 | + | 121.582i | −0.482468 | + | 0.482468i | ||||
\(253\) | −63.3255 | + | 266.813i | −0.250298 | + | 1.05460i | ||||
\(254\) | 78.7639i | 0.310094i | ||||||||
\(255\) | 55.9584 | − | 54.5939i | 0.219445 | − | 0.214094i | ||||
\(256\) | 6.64664 | − | 14.5541i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | 10.6345 | − | 19.4756i | 0.0413794 | − | 0.0757807i | −0.856171 | − | 0.516693i | \(-0.827163\pi\) |
0.897550 | + | 0.440912i | \(0.145345\pi\) | |||||||
\(258\) | −86.5040 | + | 6.18689i | −0.335287 | + | 0.0239802i | ||||
\(259\) | −127.085 | + | 432.813i | −0.490677 | + | 1.67109i | ||||
\(260\) | −55.6078 | + | 24.5704i | −0.213876 | + | 0.0945016i | ||||
\(261\) | 17.9641 | + | 39.3359i | 0.0688279 | + | 0.150712i | ||||
\(262\) | 330.987 | + | 23.6726i | 1.26331 | + | 0.0903536i | ||||
\(263\) | 49.6096 | + | 228.052i | 0.188630 | + | 0.867117i | 0.970011 | + | 0.243062i | \(0.0781520\pi\) |
−0.781381 | + | 0.624054i | \(0.785484\pi\) | |||||||
\(264\) | −52.1536 | − | 7.49855i | −0.197551 | − | 0.0284036i | ||||
\(265\) | −191.216 | − | 58.7189i | −0.721569 | − | 0.221581i | ||||
\(266\) | −83.5234 | − | 53.6772i | −0.313998 | − | 0.201794i | ||||
\(267\) | −6.21589 | − | 0.444569i | −0.0232805 | − | 0.00166505i | ||||
\(268\) | −58.7119 | + | 157.413i | −0.219074 | + | 0.587361i | ||||
\(269\) | 216.797 | + | 337.343i | 0.805938 | + | 1.25406i | 0.963806 | + | 0.266604i | \(0.0859014\pi\) |
−0.157869 | + | 0.987460i | \(0.550462\pi\) | |||||||
\(270\) | −161.786 | + | 58.0789i | −0.599208 | + | 0.215107i | ||||
\(271\) | −11.7367 | + | 13.5449i | −0.0433088 | + | 0.0499811i | −0.776991 | − | 0.629512i | \(-0.783255\pi\) |
0.733682 | + | 0.679493i | \(0.237800\pi\) | |||||||
\(272\) | −19.1838 | + | 35.1325i | −0.0705286 | + | 0.129164i | ||||
\(273\) | 116.657 | − | 43.5108i | 0.427315 | − | 0.159380i | ||||
\(274\) | −92.7160 | + | 13.3305i | −0.338380 | + | 0.0486516i | ||||
\(275\) | 91.0094 | − | 283.837i | 0.330943 | − | 1.03214i | ||||
\(276\) | 37.7117 | + | 61.1835i | 0.136637 | + | 0.221680i | ||||
\(277\) | 18.6102 | − | 18.6102i | 0.0671847 | − | 0.0671847i | −0.672716 | − | 0.739901i | \(-0.734872\pi\) |
0.739901 | + | 0.672716i | \(0.234872\pi\) | |||||||
\(278\) | 30.8135 | − | 41.1620i | 0.110840 | − | 0.148065i | ||||
\(279\) | 161.026 | + | 73.5379i | 0.577153 | + | 0.263577i | ||||
\(280\) | −147.016 | − | 112.913i | −0.525057 | − | 0.403259i | ||||
\(281\) | 9.22151 | − | 10.6422i | 0.0328168 | − | 0.0378726i | −0.739104 | − | 0.673591i | \(-0.764751\pi\) |
0.771921 | + | 0.635719i | \(0.219296\pi\) | |||||||
\(282\) | 56.5675 | − | 30.8882i | 0.200594 | − | 0.109533i | ||||
\(283\) | −296.005 | − | 64.3919i | −1.04595 | − | 0.227533i | −0.343418 | − | 0.939183i | \(-0.611585\pi\) |
−0.702535 | + | 0.711650i | \(0.747948\pi\) | |||||||
\(284\) | −92.5305 | + | 42.2573i | −0.325812 | + | 0.148793i | ||||
\(285\) | −22.1852 | − | 35.4759i | −0.0778427 | − | 0.124477i | ||||
\(286\) | −86.2350 | − | 55.4199i | −0.301521 | − | 0.193776i | ||||
\(287\) | 602.687 | + | 805.095i | 2.09995 | + | 2.80521i | ||||
\(288\) | 29.7018 | − | 22.2345i | 0.103131 | − | 0.0772030i | ||||
\(289\) | −102.103 | + | 158.876i | −0.353298 | + | 0.549742i | ||||
\(290\) | −39.5284 | + | 24.7194i | −0.136305 | + | 0.0852393i | ||||
\(291\) | 109.938 | + | 240.732i | 0.377795 | + | 0.827256i | ||||
\(292\) | −55.3888 | + | 254.618i | −0.189688 | + | 0.871981i | ||||
\(293\) | −76.6396 | − | 140.355i | −0.261569 | − | 0.479027i | 0.713581 | − | 0.700572i | \(-0.247072\pi\) |
−0.975150 | + | 0.221545i | \(0.928890\pi\) | |||||||
\(294\) | 205.091 | + | 177.712i | 0.697587 | + | 0.604463i | ||||
\(295\) | −107.609 | + | 140.111i | −0.364777 | + | 0.474952i | ||||
\(296\) | 40.4348 | − | 88.5400i | 0.136604 | − | 0.299121i | ||||
\(297\) | −232.029 | − | 173.694i | −0.781241 | − | 0.584830i | ||||
\(298\) | −53.4480 | − | 53.4480i | −0.179356 | − | 0.179356i | ||||
\(299\) | 17.2900 | + | 138.754i | 0.0578262 | + | 0.464059i | ||||
\(300\) | −35.7361 | − | 69.4691i | −0.119120 | − | 0.231564i | ||||
\(301\) | −73.2162 | − | 509.230i | −0.243243 | − | 1.69179i | ||||
\(302\) | −96.4560 | − | 258.609i | −0.319391 | − | 0.856320i | ||||
\(303\) | 9.26866 | + | 5.06107i | 0.0305896 | + | 0.0167032i | ||||
\(304\) | 16.1910 | + | 14.0296i | 0.0532599 | + | 0.0461500i | ||||
\(305\) | 179.400 | + | 499.740i | 0.588195 | + | 1.63849i | ||||
\(306\) | −78.0870 | + | 50.1835i | −0.255186 | + | 0.163998i | ||||
\(307\) | −315.278 | − | 117.592i | −1.02696 | − | 0.383037i | −0.221170 | − | 0.975235i | \(-0.570988\pi\) |
−0.805793 | + | 0.592198i | \(0.798260\pi\) | |||||||
\(308\) | 22.2981 | − | 311.768i | 0.0723964 | − | 1.01223i | ||||
\(309\) | 13.8391 | − | 21.5341i | 0.0447869 | − | 0.0696897i | ||||
\(310\) | −56.0243 | + | 182.441i | −0.180724 | + | 0.588520i | ||||
\(311\) | 62.1393 | − | 432.189i | 0.199805 | − | 1.38967i | −0.605043 | − | 0.796193i | \(-0.706844\pi\) |
0.804848 | − | 0.593481i | \(-0.202247\pi\) | |||||||
\(312\) | −26.2524 | + | 5.71087i | −0.0841424 | + | 0.0183041i | ||||
\(313\) | 19.0213 | − | 265.952i | 0.0607708 | − | 0.849687i | −0.872066 | − | 0.489388i | \(-0.837220\pi\) |
0.932837 | − | 0.360299i | \(-0.117325\pi\) | |||||||
\(314\) | 164.627 | − | 75.1828i | 0.524291 | − | 0.239436i | ||||
\(315\) | −173.730 | − | 393.186i | −0.551523 | − | 1.24821i | ||||
\(316\) | −88.1382 | − | 25.8797i | −0.278918 | − | 0.0818978i | ||||
\(317\) | 12.7193 | + | 177.840i | 0.0401241 | + | 0.561009i | 0.977260 | + | 0.212044i | \(0.0680121\pi\) |
−0.937136 | + | 0.348964i | \(0.886533\pi\) | |||||||
\(318\) | −77.5845 | − | 42.3644i | −0.243976 | − | 0.133221i | ||||
\(319\) | −71.5063 | − | 32.6558i | −0.224158 | − | 0.102369i | ||||
\(320\) | 27.9330 | + | 28.6312i | 0.0872908 | + | 0.0894725i | ||||
\(321\) | −206.727 | −0.644010 | ||||||||
\(322\) | −346.066 | + | 249.034i | −1.07474 | + | 0.773399i | ||||
\(323\) | −37.8996 | − | 37.8996i | −0.117336 | − | 0.117336i | ||||
\(324\) | 41.6652 | − | 5.99055i | 0.128596 | − | 0.0184894i | ||||
\(325\) | −7.09760 | − | 151.820i | −0.0218388 | − | 0.467137i | ||||
\(326\) | 359.609 | − | 105.591i | 1.10309 | − | 0.323898i | ||||
\(327\) | −0.237708 | − | 3.32359i | −0.000726934 | − | 0.0101639i | ||||
\(328\) | −104.001 | − | 190.464i | −0.317078 | − | 0.580684i | ||||
\(329\) | 206.706 | + | 321.640i | 0.628285 | + | 0.977630i | ||||
\(330\) | 64.5509 | − | 114.824i | 0.195609 | − | 0.347952i | ||||
\(331\) | 288.444 | + | 332.882i | 0.871432 | + | 1.00569i | 0.999902 | + | 0.0139725i | \(0.00444774\pi\) |
−0.128471 | + | 0.991713i | \(0.541007\pi\) | |||||||
\(332\) | −8.22420 | + | 1.78907i | −0.0247717 | + | 0.00538875i | ||||
\(333\) | 180.691 | − | 135.263i | 0.542615 | − | 0.406197i | ||||
\(334\) | 408.736 | + | 58.7674i | 1.22376 | + | 0.175950i | ||||
\(335\) | −314.006 | − | 278.947i | −0.937332 | − | 0.832677i | ||||
\(336\) | −53.6465 | − | 61.9114i | −0.159662 | − | 0.184260i | ||||
\(337\) | 250.866 | + | 93.5683i | 0.744411 | + | 0.277651i | 0.692912 | − | 0.721022i | \(-0.256327\pi\) |
0.0514987 | + | 0.998673i | \(0.483600\pi\) | |||||||
\(338\) | 182.466 | + | 39.6931i | 0.539841 | + | 0.117435i | ||||
\(339\) | −1.34164 | + | 4.56922i | −0.00395765 | + | 0.0134785i | ||||
\(340\) | −64.5949 | − | 76.4325i | −0.189985 | − | 0.224801i | ||||
\(341\) | −308.764 | + | 90.6614i | −0.905467 | + | 0.265869i | ||||
\(342\) | 17.3611 | + | 46.5469i | 0.0507635 | + | 0.136102i | ||||
\(343\) | −579.831 | + | 774.563i | −1.69047 | + | 2.25820i | ||||
\(344\) | 111.012i | 0.322711i | ||||||||
\(345\) | −176.679 | + | 32.7034i | −0.512113 | + | 0.0947923i | ||||
\(346\) | 399.811 | 1.15552 | ||||||||
\(347\) | −173.764 | − | 130.078i | −0.500761 | − | 0.374865i | 0.318832 | − | 0.947811i | \(-0.396709\pi\) |
−0.819593 | + | 0.572946i | \(0.805800\pi\) | |||||||
\(348\) | −19.3040 | + | 7.20003i | −0.0554714 | + | 0.0206897i | ||||
\(349\) | −132.475 | − | 451.170i | −0.379586 | − | 1.29275i | −0.898895 | − | 0.438164i | \(-0.855629\pi\) |
0.519310 | − | 0.854586i | \(-0.326189\pi\) | |||||||
\(350\) | 395.928 | − | 240.851i | 1.13122 | − | 0.688146i | ||||
\(351\) | −141.802 | − | 41.6368i | −0.403994 | − | 0.118623i | ||||
\(352\) | −14.3366 | + | 65.9044i | −0.0407290 | + | 0.187228i | ||||
\(353\) | −216.529 | + | 580.535i | −0.613395 | + | 1.64458i | 0.142432 | + | 0.989805i | \(0.454508\pi\) |
−0.755827 | + | 0.654772i | \(0.772765\pi\) | |||||||
\(354\) | −59.0036 | + | 51.1269i | −0.166677 | + | 0.144426i | ||||
\(355\) | −15.0102 | − | 253.864i | −0.0422822 | − | 0.715110i | ||||
\(356\) | −1.13524 | + | 7.89579i | −0.00318889 | + | 0.0221792i | ||||
\(357\) | 122.821 | + | 164.070i | 0.344037 | + | 0.459580i | ||||
\(358\) | 37.6349 | + | 173.005i | 0.105125 | + | 0.483254i | ||||
\(359\) | 434.190 | − | 376.228i | 1.20944 | − | 1.04799i | 0.211947 | − | 0.977281i | \(-0.432020\pi\) |
0.997497 | − | 0.0707080i | \(-0.0225259\pi\) | |||||||
\(360\) | 25.0318 | + | 89.3138i | 0.0695329 | + | 0.248094i | ||||
\(361\) | 279.560 | − | 179.662i | 0.774405 | − | 0.497680i | ||||
\(362\) | 273.932 | − | 149.578i | 0.756717 | − | 0.413199i | ||||
\(363\) | 32.9676 | − | 2.35789i | 0.0908198 | − | 0.00649556i | ||||
\(364\) | −44.9013 | − | 152.920i | −0.123355 | − | 0.420110i | ||||
\(365\) | −543.632 | − | 358.928i | −1.48940 | − | 0.983364i | ||||
\(366\) | 33.3937 | + | 232.258i | 0.0912396 | + | 0.634585i | ||||
\(367\) | 243.459 | − | 243.459i | 0.663376 | − | 0.663376i | −0.292798 | − | 0.956174i | \(-0.594586\pi\) |
0.956174 | + | 0.292798i | \(0.0945864\pi\) | |||||||
\(368\) | 81.5623 | − | 42.5628i | 0.221637 | − | 0.115660i | ||||
\(369\) | − | 503.219i | − | 1.36374i | ||||||
\(370\) | 169.931 | + | 174.178i | 0.459272 | + | 0.470751i | ||||
\(371\) | 217.838 | − | 476.999i | 0.587165 | − | 1.28571i | ||||
\(372\) | −40.4203 | + | 74.0242i | −0.108657 | + | 0.198990i | ||||
\(373\) | −520.125 | + | 37.2000i | −1.39444 | + | 0.0997320i | −0.748234 | − | 0.663435i | \(-0.769098\pi\) |
−0.646202 | + | 0.763167i | \(0.723644\pi\) | |||||||
\(374\) | 47.5384 | − | 161.901i | 0.127108 | − | 0.432890i | ||||
\(375\) | 194.213 | − | 20.6197i | 0.517902 | − | 0.0549859i | ||||
\(376\) | −34.2721 | − | 75.0454i | −0.0911492 | − | 0.199589i | ||||
\(377\) | −39.9810 | − | 2.85949i | −0.106050 | − | 0.00758487i | ||||
\(378\) | −95.7891 | − | 440.335i | −0.253410 | − | 1.16491i | ||||
\(379\) | 34.8070 | + | 5.00449i | 0.0918390 | + | 0.0132045i | 0.188081 | − | 0.982153i | \(-0.439773\pi\) |
−0.0962421 | + | 0.995358i | \(0.530682\pi\) | |||||||
\(380\) | −47.3212 | + | 25.0862i | −0.124530 | + | 0.0660163i | ||||
\(381\) | −73.2051 | − | 47.0461i | −0.192139 | − | 0.123481i | ||||
\(382\) | −379.152 | − | 27.1175i | −0.992545 | − | 0.0709882i | ||||
\(383\) | −52.2500 | + | 140.088i | −0.136423 | + | 0.365764i | −0.987140 | − | 0.159860i | \(-0.948896\pi\) |
0.850717 | + | 0.525625i | \(0.176168\pi\) | |||||||
\(384\) | 9.55689 | + | 14.8708i | 0.0248877 | + | 0.0387261i | ||||
\(385\) | 706.736 | + | 333.358i | 1.83568 | + | 0.865864i | ||||
\(386\) | −136.168 | + | 157.147i | −0.352768 | + | 0.407116i | ||||
\(387\) | −123.371 | + | 225.936i | −0.318787 | + | 0.583815i | ||||
\(388\) | 317.403 | − | 118.385i | 0.818049 | − | 0.305116i | ||||
\(389\) | 449.006 | − | 64.5573i | 1.15426 | − | 0.165957i | 0.461508 | − | 0.887136i | \(-0.347309\pi\) |
0.692749 | + | 0.721179i | \(0.256399\pi\) | |||||||
\(390\) | 10.3785 | − | 66.3593i | 0.0266115 | − | 0.170152i | ||||
\(391\) | −211.129 | + | 91.6555i | −0.539973 | + | 0.234413i | ||||
\(392\) | 245.629 | − | 245.629i | 0.626606 | − | 0.626606i | ||||
\(393\) | −219.702 | + | 293.488i | −0.559039 | + | 0.746788i | ||||
\(394\) | −274.269 | − | 125.255i | −0.696115 | − | 0.317905i | ||||
\(395\) | 139.881 | − | 182.130i | 0.354130 | − | 0.461089i | ||||
\(396\) | −102.419 | + | 118.198i | −0.258635 | + | 0.298481i | ||||
\(397\) | 351.563 | − | 191.968i | 0.885550 | − | 0.483547i | 0.0289814 | − | 0.999580i | \(-0.490774\pi\) |
0.856569 | + | 0.516033i | \(0.172592\pi\) | |||||||
\(398\) | 110.016 | + | 23.9326i | 0.276423 | + | 0.0601322i | ||||
\(399\) | 99.7780 | − | 45.5671i | 0.250070 | − | 0.114203i | ||||
\(400\) | −91.9608 | + | 39.2838i | −0.229902 | + | 0.0982094i | ||||
\(401\) | −111.251 | − | 71.4965i | −0.277433 | − | 0.178296i | 0.394524 | − | 0.918886i | \(-0.370910\pi\) |
−0.671957 | + | 0.740590i | \(0.734546\pi\) | |||||||
\(402\) | −111.234 | − | 148.592i | −0.276702 | − | 0.369631i | ||||
\(403\) | −131.356 | + | 98.3322i | −0.325947 | + | 0.244001i | ||||
\(404\) | 7.30832 | − | 11.3720i | 0.0180899 | − | 0.0281484i | ||||
\(405\) | −23.6365 | + | 102.545i | −0.0583617 | + | 0.253198i | ||||
\(406\) | −50.7723 | − | 111.176i | −0.125055 | − | 0.273832i | ||||
\(407\) | −87.2169 | + | 400.929i | −0.214292 | + | 0.985085i | ||||
\(408\) | −21.1944 | − | 38.8147i | −0.0519471 | − | 0.0951341i | ||||
\(409\) | −456.800 | − | 395.819i | −1.11687 | − | 0.967773i | −0.117191 | − | 0.993109i | \(-0.537389\pi\) |
−0.999679 | + | 0.0253361i | \(0.991934\pi\) | |||||||
\(410\) | 537.913 | − | 70.5758i | 1.31198 | − | 0.172136i | ||||
\(411\) | 42.9900 | − | 94.1350i | 0.104599 | − | 0.229039i | ||||
\(412\) | −26.2308 | − | 19.6361i | −0.0636670 | − | 0.0476605i | ||||
\(413\) | −327.490 | − | 327.490i | −0.792954 | − | 0.792954i | ||||
\(414\) | 213.299 | + | 4.01667i | 0.515216 | + | 0.00970211i | ||||
\(415\) | 3.25131 | − | 20.7887i | 0.00783448 | − | 0.0500931i | ||||
\(416\) | 4.89426 | + | 34.0403i | 0.0117651 | + | 0.0818277i | ||||
\(417\) | 19.8520 | + | 53.2252i | 0.0476066 | + | 0.127638i | ||||
\(418\) | −79.2622 | − | 43.2805i | −0.189623 | − | 0.103542i | ||||
\(419\) | 320.394 | + | 277.623i | 0.764664 | + | 0.662586i | 0.947211 | − | 0.320612i | \(-0.103888\pi\) |
−0.182546 | + | 0.983197i | \(0.558434\pi\) | |||||||
\(420\) | 192.757 | − | 69.1971i | 0.458946 | − | 0.164755i | ||||
\(421\) | 123.758 | − | 79.5344i | 0.293962 | − | 0.188918i | −0.385344 | − | 0.922773i | \(-0.625917\pi\) |
0.679306 | + | 0.733855i | \(0.262281\pi\) | |||||||
\(422\) | −379.071 | − | 141.386i | −0.898273 | − | 0.335039i | ||||
\(423\) | 13.6479 | − | 190.822i | 0.0322645 | − | 0.451117i | ||||
\(424\) | −61.1752 | + | 95.1905i | −0.144281 | + | 0.224506i | ||||
\(425\) | 236.493 | − | 81.6170i | 0.556454 | − | 0.192040i | ||||
\(426\) | 15.9940 | − | 111.241i | 0.0375446 | − | 0.261128i | ||||
\(427\) | −1360.15 | + | 295.882i | −3.18536 | + | 0.692933i | ||||
\(428\) | −18.8779 | + | 263.947i | −0.0441072 | + | 0.616699i | ||||
\(429\) | 103.017 | − | 47.0464i | 0.240133 | − | 0.109665i | ||||
\(430\) | −258.816 | − | 100.189i | −0.601898 | − | 0.232998i | ||||
\(431\) | −426.200 | − | 125.144i | −0.988862 | − | 0.290356i | −0.252984 | − | 0.967470i | \(-0.581412\pi\) |
−0.735878 | + | 0.677114i | \(0.763230\pi\) | |||||||
\(432\) | 6.93692 | + | 96.9908i | 0.0160577 | + | 0.224516i | ||||
\(433\) | −171.499 | − | 93.6457i | −0.396072 | − | 0.216272i | 0.268854 | − | 0.963181i | \(-0.413355\pi\) |
−0.664926 | + | 0.746909i | \(0.731537\pi\) | |||||||
\(434\) | −455.110 | − | 207.842i | −1.04864 | − | 0.478898i | ||||
\(435\) | 0.635682 | − | 51.5037i | 0.00146134 | − | 0.118399i | ||||
\(436\) | −4.26523 | −0.00978263 | ||||||||
\(437\) | 23.9143 | + | 120.843i | 0.0547237 | + | 0.276529i | ||||
\(438\) | −203.565 | − | 203.565i | −0.464760 | − | 0.464760i | ||||
\(439\) | 456.637 | − | 65.6545i | 1.04018 | − | 0.149555i | 0.399001 | − | 0.916950i | \(-0.369357\pi\) |
0.641174 | + | 0.767396i | \(0.278448\pi\) | |||||||
\(440\) | −140.712 | − | 92.9035i | −0.319799 | − | 0.211144i | ||||
\(441\) | 772.887 | − | 226.940i | 1.75258 | − | 0.514603i | ||||
\(442\) | −6.13788 | − | 85.8188i | −0.0138866 | − | 0.194160i | ||||
\(443\) | −285.567 | − | 522.976i | −0.644620 | − | 1.18053i | −0.971853 | − | 0.235589i | \(-0.924298\pi\) |
0.327233 | − | 0.944944i | \(-0.393884\pi\) | |||||||
\(444\) | 58.1393 | + | 90.4666i | 0.130944 | + | 0.203754i | ||||
\(445\) | −17.3838 | − | 9.77269i | −0.0390647 | − | 0.0219611i | ||||
\(446\) | −172.072 | − | 198.582i | −0.385811 | − | 0.445250i | ||||
\(447\) | 81.6008 | − | 17.7512i | 0.182552 | − | 0.0397118i | ||||
\(448\) | −83.9467 | + | 62.8417i | −0.187381 | + | 0.140272i | ||||
\(449\) | −789.016 | − | 113.443i | −1.75727 | − | 0.252658i | −0.813105 | − | 0.582117i | \(-0.802224\pi\) |
−0.944170 | + | 0.329460i | \(0.893133\pi\) | |||||||
\(450\) | −230.819 | − | 22.2464i | −0.512930 | − | 0.0494364i | ||||
\(451\) | 599.048 | + | 691.339i | 1.32827 | + | 1.53290i | ||||
\(452\) | 5.71142 | + | 2.13025i | 0.0126359 | + | 0.00471294i | ||||
\(453\) | 297.971 | + | 64.8197i | 0.657773 | + | 0.143090i | ||||
\(454\) | 49.4049 | − | 168.258i | 0.108821 | − | 0.370612i | ||||
\(455\) | 397.043 | + | 33.3270i | 0.872622 | + | 0.0732461i | ||||
\(456\) | −22.7104 | + | 6.66839i | −0.0498036 | + | 0.0146237i | ||||
\(457\) | 237.306 | + | 636.243i | 0.519270 | + | 1.39222i | 0.886777 | + | 0.462197i | \(0.152939\pi\) |
−0.367507 | + | 0.930021i | \(0.619789\pi\) | |||||||
\(458\) | −250.047 | + | 334.024i | −0.545955 | + | 0.729310i | ||||
\(459\) | − | 243.272i | − | 0.530004i | ||||||
\(460\) | 25.6214 | + | 228.568i | 0.0556986 | + | 0.496888i | ||||
\(461\) | −747.363 | −1.62118 | −0.810589 | − | 0.585615i | \(-0.800853\pi\) | ||||
−0.810589 | + | 0.585615i | \(0.800853\pi\) | |||||||
\(462\) | 276.446 | + | 206.945i | 0.598369 | + | 0.447933i | ||||
\(463\) | 823.842 | − | 307.277i | 1.77936 | − | 0.663666i | 0.780078 | − | 0.625682i | \(-0.215179\pi\) |
0.999278 | − | 0.0379838i | \(-0.0120935\pi\) | |||||||
\(464\) | 7.43013 | + | 25.3047i | 0.0160132 | + | 0.0545360i | ||||
\(465\) | −136.102 | − | 161.043i | −0.292692 | − | 0.346330i | ||||
\(466\) | −9.89296 | − | 2.90483i | −0.0212295 | − | 0.00623355i | ||||
\(467\) | 173.603 | − | 798.041i | 0.371741 | − | 1.70887i | −0.288218 | − | 0.957565i | \(-0.593063\pi\) |
0.659959 | − | 0.751302i | \(-0.270574\pi\) | |||||||
\(468\) | −27.8688 | + | 74.7192i | −0.0595487 | + | 0.159656i | ||||
\(469\) | 832.149 | − | 721.062i | 1.77431 | − | 1.53744i | ||||
\(470\) | 205.893 | − | 12.1738i | 0.438069 | − | 0.0259016i | ||||
\(471\) | −28.4560 | + | 197.916i | −0.0604162 | + | 0.420204i | ||||
\(472\) | 59.8902 | + | 80.0040i | 0.126886 | + | 0.169500i | ||||
\(473\) | −99.4715 | − | 457.263i | −0.210299 | − | 0.966730i | ||||
\(474\) | 76.6987 | − | 66.4598i | 0.161812 | − | 0.140210i | ||||
\(475\) | −15.7788 | − | 132.966i | −0.0332186 | − | 0.279928i | ||||
\(476\) | 220.699 | − | 141.835i | 0.463653 | − | 0.297972i | ||||
\(477\) | −230.293 | + | 125.750i | −0.482795 | + | 0.263626i | ||||
\(478\) | −301.229 | + | 21.5444i | −0.630187 | + | 0.0450719i | ||||
\(479\) | 167.906 | + | 571.834i | 0.350534 | + | 1.19381i | 0.926487 | + | 0.376326i | \(0.122813\pi\) |
−0.575953 | + | 0.817483i | \(0.695369\pi\) | |||||||
\(480\) | −43.2951 | + | 8.86012i | −0.0901981 | + | 0.0184586i | ||||
\(481\) | 29.7743 | + | 207.084i | 0.0619007 | + | 0.430529i | ||||
\(482\) | 47.6631 | − | 47.6631i | 0.0988861 | − | 0.0988861i | ||||
\(483\) | −24.7518 | − | 470.392i | −0.0512459 | − | 0.973897i | ||||
\(484\) | − | 42.3080i | − | 0.0874132i | ||||||
\(485\) | −10.4521 | + | 846.840i | −0.0215507 | + | 1.74606i | ||||
\(486\) | −147.853 | + | 323.753i | −0.304224 | + | 0.666159i | ||||
\(487\) | 254.223 | − | 465.575i | 0.522019 | − | 0.956007i | −0.475083 | − | 0.879941i | \(-0.657582\pi\) |
0.997103 | − | 0.0760663i | \(-0.0242361\pi\) | |||||||
\(488\) | 299.594 | − | 21.4274i | 0.613923 | − | 0.0439086i | ||||
\(489\) | −116.658 | + | 397.299i | −0.238564 | + | 0.812473i | ||||
\(490\) | 350.983 | + | 794.345i | 0.716291 | + | 1.62111i | ||||
\(491\) | 1.07985 | + | 2.36454i | 0.00219929 | + | 0.00481577i | 0.910728 | − | 0.413006i | \(-0.135521\pi\) |
−0.908529 | + | 0.417821i | \(0.862794\pi\) | |||||||
\(492\) | 239.143 | + | 17.1039i | 0.486063 | + | 0.0347639i | ||||
\(493\) | −14.0251 | − | 64.4721i | −0.0284484 | − | 0.130775i | ||||
\(494\) | −45.5796 | − | 6.55335i | −0.0922663 | − | 0.0132659i | ||||
\(495\) | −183.135 | − | 345.456i | −0.369970 | − | 0.697891i | ||||
\(496\) | 90.8223 | + | 58.3679i | 0.183109 | + | 0.117677i | ||||
\(497\) | 664.984 | + | 47.5606i | 1.33800 | + | 0.0956954i | ||||
\(498\) | 3.24956 | − | 8.71240i | 0.00652522 | − | 0.0174948i | ||||
\(499\) | −4.58638 | − | 7.13655i | −0.00919114 | − | 0.0143017i | 0.836628 | − | 0.547772i | \(-0.184524\pi\) |
−0.845819 | + | 0.533470i | \(0.820888\pi\) | |||||||
\(500\) | −8.59190 | − | 249.852i | −0.0171838 | − | 0.499705i | ||||
\(501\) | −298.760 | + | 344.788i | −0.596328 | + | 0.688199i | ||||
\(502\) | −140.274 | + | 256.892i | −0.279429 | + | 0.511737i | ||||
\(503\) | −263.968 | + | 98.4548i | −0.524787 | + | 0.195735i | −0.597874 | − | 0.801590i | \(-0.703988\pi\) |
0.0730872 | + | 0.997326i | \(0.476715\pi\) | |||||||
\(504\) | −240.689 | + | 34.6058i | −0.477557 | + | 0.0686623i | ||||
\(505\) | 19.9170 | + | 27.3019i | 0.0394395 | + | 0.0540632i | ||||
\(506\) | −297.819 | + | 248.400i | −0.588575 | + | 0.490910i | ||||
\(507\) | −145.880 | + | 145.880i | −0.287731 | + | 0.287731i | ||||
\(508\) | −66.7529 | + | 89.1714i | −0.131403 | + | 0.175534i | ||||
\(509\) | 55.0436 | + | 25.1376i | 0.108141 | + | 0.0493862i | 0.468751 | − | 0.883330i | \(-0.344704\pi\) |
−0.360610 | + | 0.932717i | \(0.617432\pi\) | |||||||
\(510\) | 109.621 | − | 14.3826i | 0.214943 | − | 0.0282012i | ||||
\(511\) | 1118.35 | − | 1290.65i | 2.18856 | − | 2.52573i | ||||
\(512\) | 19.8596 | − | 10.8442i | 0.0387883 | − | 0.0211800i | ||||
\(513\) | −127.226 | − | 27.6762i | −0.248003 | − | 0.0539498i | ||||
\(514\) | 28.5454 | − | 13.0363i | 0.0555359 | − | 0.0253624i | ||||
\(515\) | 69.4533 | − | 43.4332i | 0.134861 | − | 0.0843363i | ||||
\(516\) | −103.178 | − | 66.3083i | −0.199957 | − | 0.128505i | ||||
\(517\) | 208.411 | + | 278.405i | 0.403117 | + | 0.538501i | ||||
\(518\) | −510.690 | + | 382.298i | −0.985888 | + | 0.738027i | ||||
\(519\) | −238.810 | + | 371.595i | −0.460134 | + | 0.715982i | ||||
\(520\) | −83.7792 | − | 19.3109i | −0.161114 | − | 0.0371364i | ||||
\(521\) | −21.4583 | − | 46.9871i | −0.0411867 | − | 0.0901863i | 0.887920 | − | 0.459997i | \(-0.152150\pi\) |
−0.929107 | + | 0.369811i | \(0.879422\pi\) | |||||||
\(522\) | −12.9996 | + | 59.7582i | −0.0249035 | + | 0.114479i | ||||
\(523\) | 53.9429 | + | 98.7890i | 0.103141 | + | 0.188889i | 0.924153 | − | 0.382022i | \(-0.124772\pi\) |
−0.821012 | + | 0.570911i | \(0.806590\pi\) | |||||||
\(524\) | 354.659 | + | 307.314i | 0.676831 | + | 0.586477i | ||||
\(525\) | −12.6368 | + | 511.847i | −0.0240701 | + | 0.974947i | ||||
\(526\) | −137.111 | + | 300.230i | −0.260666 | + | 0.570780i | ||||
\(527\) | −216.223 | − | 161.863i | −0.410291 | − | 0.307140i | ||||
\(528\) | −52.6899 | − | 52.6899i | −0.0997914 | − | 0.0997914i | ||||
\(529\) | 520.410 | + | 94.9447i | 0.983762 | + | 0.179480i | ||||
\(530\) | −166.718 | − | 228.534i | −0.314562 | − | 0.431197i | ||||
\(531\) | 32.9805 | + | 229.384i | 0.0621101 | + | 0.431985i | ||||
\(532\) | −49.0681 | − | 131.557i | −0.0922332 | − | 0.247287i | ||||
\(533\) | 409.384 | + | 223.541i | 0.768075 | + | 0.419401i | ||||
\(534\) | −6.66046 | − | 5.77132i | −0.0124728 | − | 0.0108077i | ||||
\(535\) | −598.333 | − | 282.225i | −1.11838 | − | 0.527524i | ||||
\(536\) | −199.878 | + | 128.454i | −0.372907 | + | 0.239653i | ||||
\(537\) | −183.275 | − | 68.3579i | −0.341293 | − | 0.127296i | ||||
\(538\) | −40.4565 | + | 565.656i | −0.0751979 | + | 1.05140i | ||||
\(539\) | −791.660 | + | 1231.85i | −1.46876 | + | 2.28543i | ||||
\(540\) | −232.386 | − | 71.3616i | −0.430345 | − | 0.132151i | ||||
\(541\) | 20.5867 | − | 143.183i | 0.0380530 | − | 0.264664i | −0.961909 | − | 0.273369i | \(-0.911862\pi\) |
0.999962 | + | 0.00870508i | \(0.00277095\pi\) | |||||||
\(542\) | −24.7669 | + | 5.38771i | −0.0456954 | + | 0.00994042i | ||||
\(543\) | −24.5993 | + | 343.943i | −0.0453025 | + | 0.633412i | ||||
\(544\) | −51.4937 | + | 23.5164i | −0.0946575 | + | 0.0432286i | ||||
\(545\) | 3.84938 | − | 9.94401i | 0.00706308 | − | 0.0182459i | ||||
\(546\) | 168.947 | + | 49.6074i | 0.309428 | + | 0.0908561i | ||||
\(547\) | 0.422366 | + | 5.90545i | 0.000772150 | + | 0.0107961i | 0.997824 | − | 0.0659401i | \(-0.0210046\pi\) |
−0.997051 | + | 0.0767362i | \(0.975550\pi\) | |||||||
\(548\) | −116.265 | − | 63.4854i | −0.212162 | − | 0.115849i | ||||
\(549\) | 633.557 | + | 289.336i | 1.15402 | + | 0.527024i | ||||
\(550\) | 343.589 | − | 244.211i | 0.624707 | − | 0.444020i | ||||
\(551\) | −35.3131 | −0.0640890 | ||||||||
\(552\) | −9.15864 | + | 101.229i | −0.0165917 | + | 0.183386i | ||||
\(553\) | 425.704 | + | 425.704i | 0.769808 | + | 0.769808i | ||||
\(554\) | 36.8415 | − | 5.29700i | 0.0665009 | − | 0.00956138i | ||||
\(555\) | −263.386 | + | 53.9005i | −0.474569 | + | 0.0971181i | ||||
\(556\) | 69.7702 | − | 20.4864i | 0.125486 | − | 0.0368460i | ||||
\(557\) | −60.1732 | − | 841.331i | −0.108031 | − | 1.51047i | −0.705577 | − | 0.708633i | \(-0.749312\pi\) |
0.597546 | − | 0.801835i | \(-0.296143\pi\) | |||||||
\(558\) | 119.979 | + | 219.725i | 0.215016 | + | 0.393773i | ||||
\(559\) | −129.002 | − | 200.732i | −0.230773 | − | 0.359091i | ||||
\(560\) | −70.7480 | − | 252.429i | −0.126336 | − | 0.450767i | ||||
\(561\) | 122.080 | + | 140.888i | 0.217611 | + | 0.251137i | ||||
\(562\) | 19.4593 | − | 4.23312i | 0.0346252 | − | 0.00753224i | ||||
\(563\) | 467.992 | − | 350.334i | 0.831247 | − | 0.622264i | −0.0965590 | − | 0.995327i | \(-0.530784\pi\) |
0.927806 | + | 0.373064i | \(0.121693\pi\) | |||||||
\(564\) | 90.2200 | + | 12.9717i | 0.159965 | + | 0.0229994i | ||||
\(565\) | −10.1211 | + | 11.3931i | −0.0179134 | + | 0.0201648i | ||||
\(566\) | −280.545 | − | 323.766i | −0.495663 | − | 0.572025i | ||||
\(567\) | −258.484 | − | 96.4094i | −0.455880 | − | 0.170034i | ||||
\(568\) | −140.570 | − | 30.5792i | −0.247483 | − | 0.0538367i | ||||
\(569\) | 81.6817 | − | 278.182i | 0.143553 | − | 0.488897i | −0.856055 | − | 0.516884i | \(-0.827092\pi\) |
0.999608 | + | 0.0279877i | \(0.00890992\pi\) | |||||||
\(570\) | 4.94946 | − | 58.9657i | 0.00868326 | − | 0.103449i | ||||
\(571\) | −434.709 | + | 127.642i | −0.761312 | + | 0.223541i | −0.639269 | − | 0.768983i | \(-0.720763\pi\) |
−0.122043 | + | 0.992525i | \(0.538945\pi\) | |||||||
\(572\) | −50.6611 | − | 135.828i | −0.0885683 | − | 0.237461i | ||||
\(573\) | 251.673 | − | 336.196i | 0.439220 | − | 0.586730i | ||||
\(574\) | 1422.26i | 2.47780i | ||||||||
\(575\) | −556.011 | − | 146.550i | −0.966976 | − | 0.254869i | ||||
\(576\) | 52.4703 | 0.0910943 | ||||||||
\(577\) | −51.7144 | − | 38.7129i | −0.0896264 | − | 0.0670934i | 0.553525 | − | 0.832833i | \(-0.313282\pi\) |
−0.643151 | + | 0.765739i | \(0.722373\pi\) | |||||||
\(578\) | −250.243 | + | 93.3357i | −0.432946 | + | 0.161480i | ||||
\(579\) | −64.7220 | − | 220.423i | −0.111782 | − | 0.380696i | ||||
\(580\) | −65.7014 | − | 5.51484i | −0.113278 | − | 0.00950834i | ||||
\(581\) | 52.9268 | + | 15.5407i | 0.0910961 | + | 0.0267482i | ||||
\(582\) | −79.5563 | + | 365.714i | −0.136695 | + | 0.628375i | ||||
\(583\) | 166.688 | − | 446.907i | 0.285914 | − | 0.766565i | ||||
\(584\) | −278.499 | + | 241.320i | −0.476881 | + | 0.413220i | ||||
\(585\) | −149.050 | − | 132.408i | −0.254786 | − | 0.226338i | ||||
\(586\) | 32.1853 | − | 223.854i | 0.0549237 | − | 0.382003i | ||||
\(587\) | 244.359 | + | 326.425i | 0.416284 | + | 0.556090i | 0.958846 | − | 0.283925i | \(-0.0916368\pi\) |
−0.542563 | + | 0.840015i | \(0.682546\pi\) | |||||||
\(588\) | 81.5784 | + | 375.010i | 0.138739 | + | 0.637772i | ||||
\(589\) | −109.250 | + | 94.6653i | −0.185483 | + | 0.160722i | ||||
\(590\) | −240.573 | + | 67.4251i | −0.407751 | + | 0.114280i | ||||
\(591\) | 280.237 | − | 180.097i | 0.474175 | − | 0.304733i | ||||
\(592\) | 120.816 | − | 65.9705i | 0.204081 | − | 0.111437i | ||||
\(593\) | −29.8806 | + | 2.13710i | −0.0503889 | + | 0.00360388i | −0.0965109 | − | 0.995332i | \(-0.530768\pi\) |
0.0461220 | + | 0.998936i | \(0.485314\pi\) | |||||||
\(594\) | −115.481 | − | 393.292i | −0.194412 | − | 0.662107i | ||||
\(595\) | 131.494 | + | 642.546i | 0.220998 | + | 1.07991i | ||||
\(596\) | −15.2129 | − | 105.808i | −0.0255250 | − | 0.177530i | ||||
\(597\) | −87.9569 | + | 87.9569i | −0.147332 | + | 0.147332i | ||||
\(598\) | −98.0198 | + | 171.741i | −0.163913 | + | 0.287193i | ||||
\(599\) | 597.264i | 0.997101i | 0.866861 | + | 0.498551i | \(0.166134\pi\) | ||||
−0.866861 | + | 0.498551i | \(0.833866\pi\) | |||||||
\(600\) | 18.4173 | − | 108.935i | 0.0306956 | − | 0.181558i | ||||
\(601\) | −226.904 | + | 496.850i | −0.377544 | + | 0.826705i | 0.621518 | + | 0.783400i | \(0.286516\pi\) |
−0.999062 | + | 0.0433055i | \(0.986211\pi\) | |||||||
\(602\) | 348.685 | − | 638.569i | 0.579211 | − | 1.06075i | ||||
\(603\) | −549.552 | + | 39.3048i | −0.911364 | + | 0.0651820i | ||||
\(604\) | 109.971 | − | 374.527i | 0.182071 | − | 0.620078i | ||||
\(605\) | 98.6375 | + | 38.1831i | 0.163037 | + | 0.0631125i | ||||
\(606\) | 6.20409 | + | 13.5851i | 0.0102378 | + | 0.0224176i | ||||
\(607\) | 695.846 | + | 49.7679i | 1.14637 | + | 0.0819899i | 0.631568 | − | 0.775320i | \(-0.282412\pi\) |
0.514800 | + | 0.857310i | \(0.327866\pi\) | |||||||
\(608\) | 6.44026 | + | 29.6054i | 0.0105925 | + | 0.0486931i | ||||
\(609\) | 133.656 | + | 19.2168i | 0.219468 | + | 0.0315548i | ||||
\(610\) | −220.428 | + | 717.817i | −0.361358 | + | 1.17675i | ||||
\(611\) | 149.177 | + | 95.8704i | 0.244153 | + | 0.156907i | ||||
\(612\) | −130.936 | − | 9.36472i | −0.213948 | − | 0.0153018i | ||||
\(613\) | 287.828 | − | 771.698i | 0.469541 | − | 1.25889i | −0.459258 | − | 0.888303i | \(-0.651885\pi\) |
0.928799 | − | 0.370585i | \(-0.120843\pi\) | |||||||
\(614\) | −257.277 | − | 400.331i | −0.419018 | − | 0.652004i | ||||
\(615\) | −255.703 | + | 542.105i | −0.415778 | + | 0.881472i | ||||
\(616\) | 289.470 | − | 334.066i | 0.469919 | − | 0.542315i | ||||
\(617\) | −193.296 | + | 353.996i | −0.313284 | + | 0.573738i | −0.986116 | − | 0.166058i | \(-0.946896\pi\) |
0.672832 | + | 0.739796i | \(0.265078\pi\) | |||||||
\(618\) | 33.9181 | − | 12.6508i | 0.0548837 | − | 0.0204705i | ||||
\(619\) | −171.441 | + | 24.6496i | −0.276965 | + | 0.0398216i | −0.279398 | − | 0.960175i | \(-0.590135\pi\) |
0.00243256 | + | 0.999997i | \(0.499226\pi\) | |||||||
\(620\) | −218.047 | + | 159.067i | −0.351689 | + | 0.256560i | ||||
\(621\) | −311.086 | + | 464.588i | −0.500944 | + | 0.748129i | ||||
\(622\) | 436.633 | − | 436.633i | 0.701982 | − | 0.701982i | ||||
\(623\) | 31.3305 | − | 41.8526i | 0.0502897 | − | 0.0671792i | ||||
\(624\) | −34.5613 | − | 15.7836i | −0.0553867 | − | 0.0252943i | ||||
\(625\) | 590.263 | + | 205.461i | 0.944421 | + | 0.328738i | ||||
\(626\) | 246.931 | − | 284.973i | 0.394458 | − | 0.455229i | ||||
\(627\) | 87.5697 | − | 47.8167i | 0.139665 | − | 0.0762627i | ||||
\(628\) | 250.099 | + | 54.4056i | 0.398246 | + | 0.0866332i | ||||
\(629\) | −313.262 | + | 143.062i | −0.498031 | + | 0.227443i | ||||
\(630\) | 136.542 | − | 592.377i | 0.216733 | − | 0.940281i | ||||
\(631\) | 464.363 | + | 298.428i | 0.735916 | + | 0.472945i | 0.854141 | − | 0.520042i | \(-0.174084\pi\) |
−0.118224 | + | 0.992987i | \(0.537720\pi\) | |||||||
\(632\) | −77.8512 | − | 103.997i | −0.123182 | − | 0.164552i | ||||
\(633\) | 357.829 | − | 267.868i | 0.565291 | − | 0.423172i | ||||
\(634\) | −136.320 | + | 212.119i | −0.215016 | + | 0.334572i | ||||
\(635\) | −147.651 | − | 236.106i | −0.232521 | − | 0.371821i | ||||
\(636\) | −51.9322 | − | 113.716i | −0.0816544 | − | 0.178798i | ||||
\(637\) | −158.710 | + | 729.579i | −0.249153 | + | 1.14534i | ||||
\(638\) | −53.2789 | − | 97.5729i | −0.0835092 | − | 0.152936i | ||||
\(639\) | −252.110 | − | 218.455i | −0.394539 | − | 0.341870i | ||||
\(640\) | 7.35890 | + | 56.0878i | 0.0114983 | + | 0.0876373i | ||||
\(641\) | 80.7314 | − | 176.777i | 0.125946 | − | 0.275783i | −0.836147 | − | 0.548506i | \(-0.815197\pi\) |
0.962093 | + | 0.272723i | \(0.0879241\pi\) | |||||||
\(642\) | −234.043 | − | 175.203i | −0.364554 | − | 0.272901i | ||||
\(643\) | −319.009 | − | 319.009i | −0.496126 | − | 0.496126i | 0.414104 | − | 0.910230i | \(-0.364095\pi\) |
−0.910230 | + | 0.414104i | \(0.864095\pi\) | |||||||
\(644\) | −602.852 | − | 11.3524i | −0.936106 | − | 0.0176280i | ||||
\(645\) | 247.710 | − | 180.707i | 0.384047 | − | 0.280165i | ||||
\(646\) | −10.7873 | − | 75.0276i | −0.0166987 | − | 0.116142i | ||||
\(647\) | −298.314 | − | 799.811i | −0.461072 | − | 1.23618i | −0.934694 | − | 0.355454i | \(-0.884326\pi\) |
0.473621 | − | 0.880729i | \(-0.342947\pi\) | |||||||
\(648\) | 52.2477 | + | 28.5294i | 0.0806292 | + | 0.0440269i | ||||
\(649\) | −318.376 | − | 275.874i | −0.490564 | − | 0.425076i | ||||
\(650\) | 120.633 | − | 177.896i | 0.185589 | − | 0.273686i | ||||
\(651\) | 465.013 | − | 298.846i | 0.714306 | − | 0.459057i | ||||
\(652\) | 496.615 | + | 185.228i | 0.761679 | + | 0.284092i | ||||
\(653\) | 28.0246 | − | 391.835i | 0.0429167 | − | 0.600054i | −0.929801 | − | 0.368062i | \(-0.880021\pi\) |
0.972718 | − | 0.231992i | \(-0.0745242\pi\) | |||||||
\(654\) | 2.54764 | − | 3.96421i | 0.00389548 | − | 0.00606148i | ||||
\(655\) | −1036.56 | + | 549.506i | −1.58253 | + | 0.838941i | ||||
\(656\) | 43.6761 | − | 303.774i | 0.0665794 | − | 0.463070i | ||||
\(657\) | −834.994 | + | 181.642i | −1.27092 | + | 0.276472i | ||||
\(658\) | −38.5733 | + | 539.325i | −0.0586220 | + | 0.819643i | ||||
\(659\) | 473.430 | − | 216.208i | 0.718406 | − | 0.328085i | −0.0224509 | − | 0.999748i | \(-0.507147\pi\) |
0.740857 | + | 0.671663i | \(0.234420\pi\) | |||||||
\(660\) | 170.395 | − | 75.2892i | 0.258174 | − | 0.114074i | ||||
\(661\) | 302.822 | + | 88.9166i | 0.458127 | + | 0.134518i | 0.502650 | − | 0.864490i | \(-0.332358\pi\) |
−0.0445226 | + | 0.999008i | \(0.514177\pi\) | |||||||
\(662\) | 44.4381 | + | 621.326i | 0.0671270 | + | 0.938559i | ||||
\(663\) | 83.4283 | + | 45.5553i | 0.125835 | + | 0.0687109i | ||||
\(664\) | −10.8272 | − | 4.94460i | −0.0163060 | − | 0.00744669i | ||||
\(665\) | 350.997 | + | 4.33216i | 0.527815 | + | 0.00651452i | ||||
\(666\) | 319.203 | 0.479284 | ||||||||
\(667\) | −55.6601 | + | 141.060i | −0.0834484 | + | 0.211485i | ||||
\(668\) | 412.939 | + | 412.939i | 0.618172 | + | 0.618172i | ||||
\(669\) | 287.346 | − | 41.3141i | 0.429516 | − | 0.0617551i | ||||
\(670\) | −119.089 | − | 581.928i | −0.177744 | − | 0.868550i | ||||
\(671\) | −1214.84 | + | 356.708i | −1.81049 | + | 0.531607i | ||||
\(672\) | −8.26487 | − | 115.558i | −0.0122989 | − | 0.171961i | ||||
\(673\) | 642.693 | + | 1177.00i | 0.954967 | + | 1.74889i | 0.552748 | + | 0.833349i | \(0.313579\pi\) |
0.402219 | + | 0.915543i | \(0.368239\pi\) | |||||||
\(674\) | 204.715 | + | 318.543i | 0.303732 | + | 0.472616i | ||||
\(675\) | 376.102 | − | 477.384i | 0.557189 | − | 0.707236i | ||||
\(676\) | 172.936 | + | 199.579i | 0.255823 | + | 0.295236i | ||||
\(677\) | −273.339 | + | 59.4613i | −0.403751 | + | 0.0878306i | −0.409855 | − | 0.912151i | \(-0.634421\pi\) |
0.00610400 | + | 0.999981i | \(0.498057\pi\) | |||||||
\(678\) | −5.39137 | + | 4.03593i | −0.00795187 | + | 0.00595270i | ||||
\(679\) | −2197.62 | − | 315.969i | −3.23655 | − | 0.465345i | ||||
\(680\) | −8.35323 | − | 141.277i | −0.0122842 | − | 0.207760i | ||||
\(681\) | 126.873 | + | 146.419i | 0.186304 | + | 0.215006i | ||||
\(682\) | −426.399 | − | 159.039i | −0.625219 | − | 0.233195i | ||||
\(683\) | 28.8351 | + | 6.27269i | 0.0422183 | + | 0.00918403i | 0.233625 | − | 0.972327i | \(-0.424941\pi\) |
−0.191407 | + | 0.981511i | \(0.561305\pi\) | |||||||
\(684\) | −19.7937 | + | 67.4111i | −0.0289382 | + | 0.0985543i | ||||
\(685\) | 252.940 | − | 213.766i | 0.369256 | − | 0.312067i | ||||
\(686\) | −1312.89 | + | 385.501i | −1.91384 | + | 0.561954i | ||||
\(687\) | −161.096 | − | 431.915i | −0.234492 | − | 0.628697i | ||||
\(688\) | −94.0838 | + | 125.681i | −0.136750 | + | 0.182676i | ||||
\(689\) | − | 243.211i | − | 0.352992i | ||||||
\(690\) | −227.741 | − | 112.712i | −0.330060 | − | 0.163351i | ||||
\(691\) | −723.117 | −1.04648 | −0.523240 | − | 0.852186i | \(-0.675277\pi\) | ||||
−0.523240 | + | 0.852186i | \(0.675277\pi\) | |||||||
\(692\) | 452.641 | + | 338.843i | 0.654106 | + | 0.489657i | ||||
\(693\) | 960.395 | − | 358.209i | 1.38585 | − | 0.516896i | ||||
\(694\) | −86.4825 | − | 294.532i | −0.124614 | − | 0.424398i | ||||
\(695\) | −15.2055 | + | 181.152i | −0.0218785 | + | 0.260651i | ||||
\(696\) | −27.9569 | − | 8.20888i | −0.0401679 | − | 0.0117944i | ||||
\(697\) | −163.207 | + | 750.250i | −0.234156 | + | 1.07640i | ||||
\(698\) | 232.389 | − | 623.059i | 0.332936 | − | 0.892635i | ||||
\(699\) | 8.60894 | − | 7.45969i | 0.0123161 | − | 0.0106719i | ||||
\(700\) | 652.368 | + | 62.8753i | 0.931954 | + | 0.0898219i | ||||
\(701\) | −27.8399 | + | 193.631i | −0.0397145 | + | 0.276221i | −0.999996 | − | 0.00281230i | \(-0.999105\pi\) |
0.960281 | + | 0.279033i | \(0.0900139\pi\) | |||||||
\(702\) | −125.252 | − | 167.317i | −0.178421 | − | 0.238343i | ||||
\(703\) | 39.1793 | + | 180.105i | 0.0557316 | + | 0.256194i | ||||
\(704\) | −72.0854 | + | 62.4624i | −0.102394 | + | 0.0887250i | ||||
\(705\) | −111.666 | + | 198.633i | −0.158392 | + | 0.281749i | ||||
\(706\) | −737.147 | + | 473.736i | −1.04412 | + | 0.671014i | ||||
\(707\) | −77.7579 | + | 42.4590i | −0.109983 | + | 0.0600552i | ||||
\(708\) | −110.130 | + | 7.87669i | −0.155551 | + | 0.0111253i | ||||
\(709\) | −141.696 | − | 482.572i | −0.199853 | − | 0.680637i | −0.997039 | − | 0.0769029i | \(-0.975497\pi\) |
0.797185 | − | 0.603735i | \(-0.206321\pi\) | |||||||
\(710\) | 198.158 | − | 300.130i | 0.279096 | − | 0.422718i | ||||
\(711\) | −42.8712 | − | 298.176i | −0.0602971 | − | 0.419376i | ||||
\(712\) | −7.97698 | + | 7.97698i | −0.0112036 | + | 0.0112036i | ||||
\(713\) | 205.949 | + | 585.615i | 0.288848 | + | 0.821340i | ||||
\(714\) | 289.842i | 0.405941i | ||||||||
\(715\) | 362.392 | + | 4.47280i | 0.506842 | + | 0.00625567i | ||||
\(716\) | −104.015 | + | 227.761i | −0.145272 | + | 0.318102i | ||||
\(717\) | 159.902 | − | 292.839i | 0.223015 | − | 0.408422i | ||||
\(718\) | 810.419 | − | 57.9623i | 1.12872 | − | 0.0807274i | ||||
\(719\) | 155.086 | − | 528.175i | 0.215697 | − | 0.734597i | −0.778559 | − | 0.627571i | \(-0.784049\pi\) |
0.994256 | − | 0.107025i | \(-0.0341326\pi\) | |||||||
\(720\) | −47.3546 | + | 122.330i | −0.0657703 | + | 0.169903i | ||||
\(721\) | 89.2093 | + | 195.341i | 0.123730 | + | 0.270931i | ||||
\(722\) | 468.765 | + | 33.5268i | 0.649259 | + | 0.0464360i | ||||
\(723\) | 15.8299 | + | 72.7687i | 0.0218947 | + | 0.100648i | ||||
\(724\) | 436.896 | + | 62.8162i | 0.603448 | + | 0.0867627i | ||||
\(725\) | 72.1530 | − | 148.200i | 0.0995214 | − | 0.204414i | ||||
\(726\) | 39.3221 | + | 25.2708i | 0.0541627 | + | 0.0348083i | ||||
\(727\) | 656.919 | + | 46.9838i | 0.903603 | + | 0.0646269i | 0.515403 | − | 0.856948i | \(-0.327642\pi\) |
0.388200 | + | 0.921575i | \(0.373097\pi\) | |||||||
\(728\) | 78.7662 | − | 211.180i | 0.108195 | − | 0.290083i | ||||
\(729\) | −110.182 | − | 171.446i | −0.151141 | − | 0.235180i | ||||
\(730\) | −311.272 | − | 867.087i | −0.426400 | − | 1.18779i | ||||
\(731\) | 257.211 | − | 296.837i | 0.351861 | − | 0.406069i | ||||
\(732\) | −159.034 | + | 291.249i | −0.217260 | + | 0.397881i | ||||
\(733\) | 154.968 | − | 57.8001i | 0.211416 | − | 0.0788542i | −0.241525 | − | 0.970395i | \(-0.577648\pi\) |
0.452941 | + | 0.891540i | \(0.350375\pi\) | |||||||
\(734\) | 481.962 | − | 69.2957i | 0.656624 | − | 0.0944082i | ||||
\(735\) | −947.928 | − | 148.254i | −1.28970 | − | 0.201707i | ||||
\(736\) | 128.412 | + | 20.9377i | 0.174473 | + | 0.0284479i | ||||
\(737\) | 708.203 | − | 708.203i | 0.960927 | − | 0.960927i | ||||
\(738\) | 426.481 | − | 569.712i | 0.577888 | − | 0.771968i | ||||
\(739\) | −300.514 | − | 137.240i | −0.406650 | − | 0.185711i | 0.201580 | − | 0.979472i | \(-0.435393\pi\) |
−0.608229 | + | 0.793762i | \(0.708120\pi\) | |||||||
\(740\) | 44.7679 | + | 341.211i | 0.0604971 | + | 0.461095i | ||||
\(741\) | 33.3158 | − | 38.4484i | 0.0449605 | − | 0.0518872i | ||||
\(742\) | 650.883 | − | 355.409i | 0.877200 | − | 0.478988i | ||||
\(743\) | −1011.58 | − | 220.056i | −1.36148 | − | 0.296172i | −0.528245 | − | 0.849092i | \(-0.677150\pi\) |
−0.833234 | + | 0.552920i | \(0.813513\pi\) | |||||||
\(744\) | −108.497 | + | 49.5491i | −0.145830 | + | 0.0665982i | ||||
\(745\) | 260.412 | + | 60.0244i | 0.349546 | + | 0.0805697i | ||||
\(746\) | −620.379 | − | 398.694i | −0.831608 | − | 0.534442i | ||||
\(747\) | −16.5408 | − | 22.0959i | −0.0221429 | − | 0.0295795i | ||||
\(748\) | 191.032 | − | 143.005i | 0.255390 | − | 0.191183i | ||||
\(749\) | 937.636 | − | 1458.99i | 1.25185 | − | 1.94792i | ||||
\(750\) | 237.351 | + | 141.253i | 0.316468 | + | 0.188337i | ||||
\(751\) | 429.046 | + | 939.480i | 0.571300 | + | 1.25097i | 0.946103 | + | 0.323867i | \(0.104983\pi\) |
−0.374803 | + | 0.927105i | \(0.622290\pi\) | |||||||
\(752\) | 24.8008 | − | 114.007i | 0.0329798 | − | 0.151606i | ||||
\(753\) | −154.976 | − | 283.817i | −0.205811 | − | 0.376914i | ||||
\(754\) | −42.8405 | − | 37.1215i | −0.0568176 | − | 0.0492327i | ||||
\(755\) | 773.929 | + | 594.400i | 1.02507 | + | 0.787285i | ||||
\(756\) | 264.741 | − | 579.701i | 0.350186 | − | 0.766801i | ||||
\(757\) | 319.181 | + | 238.936i | 0.421640 | + | 0.315636i | 0.788944 | − | 0.614465i | \(-0.210628\pi\) |
−0.367304 | + | 0.930101i | \(0.619719\pi\) | |||||||
\(758\) | 35.1649 | + | 35.1649i | 0.0463917 | + | 0.0463917i | ||||
\(759\) | −52.9805 | − | 425.171i | −0.0698031 | − | 0.560173i | ||||
\(760\) | −74.8348 | − | 11.7040i | −0.0984668 | − | 0.0154000i | ||||
\(761\) | 73.7377 | + | 512.857i | 0.0968958 | + | 0.673925i | 0.979148 | + | 0.203148i | \(0.0651172\pi\) |
−0.882252 | + | 0.470777i | \(0.843974\pi\) | |||||||
\(762\) | −43.0063 | − | 115.304i | −0.0564388 | − | 0.151318i | ||||
\(763\) | 24.5345 | + | 13.3969i | 0.0321554 | + | 0.0175582i | ||||
\(764\) | −406.270 | − | 352.035i | −0.531766 | − | 0.460778i | ||||
\(765\) | 140.003 | − | 296.814i | 0.183010 | − | 0.387992i | ||||
\(766\) | −177.879 | + | 114.316i | −0.232219 | + | 0.149238i | ||||
\(767\) | −201.262 | − | 75.0667i | −0.262401 | − | 0.0978706i | ||||
\(768\) | −1.78341 | + | 24.9353i | −0.00232215 | + | 0.0324678i | ||||
\(769\) | −377.472 | + | 587.358i | −0.490861 | + | 0.763795i | −0.995005 | − | 0.0998247i | \(-0.968172\pi\) |
0.504144 | + | 0.863620i | \(0.331808\pi\) | |||||||
\(770\) | 517.599 | + | 976.370i | 0.672207 | + | 1.26801i | ||||
\(771\) | −4.93411 | + | 34.3175i | −0.00639962 | + | 0.0445103i | ||||
\(772\) | −287.344 | + | 62.5079i | −0.372207 | + | 0.0809688i | ||||
\(773\) | −23.2807 | + | 325.507i | −0.0301174 | + | 0.421096i | 0.959918 | + | 0.280280i | \(0.0904272\pi\) |
−0.990036 | + | 0.140816i | \(0.955027\pi\) | |||||||
\(774\) | −331.155 | + | 151.233i | −0.427849 | + | 0.195392i | ||||
\(775\) | −174.063 | − | 651.917i | −0.224598 | − | 0.841183i | ||||
\(776\) | 459.676 | + | 134.973i | 0.592365 | + | 0.173934i | ||||
\(777\) | −50.2793 | − | 702.997i | −0.0647096 | − | 0.904758i | ||||
\(778\) | 563.049 | + | 307.448i | 0.723713 | + | 0.395177i | ||||
\(779\) | 373.796 | + | 170.707i | 0.479841 | + | 0.219136i | ||||
\(780\) | 67.9898 | − | 66.3320i | 0.0871665 | − | 0.0850410i | ||||
\(781\) | 606.413 | 0.776458 | ||||||||
\(782\) | −316.706 | − | 75.1670i | −0.404995 | − | 0.0961215i | ||||
\(783\) | −113.335 | − | 113.335i | −0.144744 | − | 0.144744i | ||||
\(784\) | 486.259 | − | 69.9134i | 0.620228 | − | 0.0891753i | ||||
\(785\) | −352.557 | + | 533.982i | −0.449117 | + | 0.680232i | ||||
\(786\) | −497.466 | + | 146.069i | −0.632908 | + | 0.185839i | ||||
\(787\) | −1.47619 | − | 20.6399i | −0.00187572 | − | 0.0262260i | 0.996428 | − | 0.0844460i | \(-0.0269121\pi\) |
−0.998304 | + | 0.0582200i | \(0.981458\pi\) | |||||||
\(788\) | −204.356 | − | 374.250i | −0.259335 | − | 0.474937i | ||||
\(789\) | −197.145 | − | 306.763i | −0.249866 | − | 0.388800i | ||||
\(790\) | 312.721 | − | 87.6458i | 0.395849 | − | 0.110944i | ||||
\(791\) | −26.1624 | − | 30.1930i | −0.0330750 | − | 0.0381706i | ||||
\(792\) | −216.127 | + | 47.0154i | −0.272887 | + | 0.0593629i | ||||
\(793\) | −516.824 | + | 386.889i | −0.651732 | + | 0.487881i | ||||
\(794\) | 560.712 | + | 80.6182i | 0.706186 | + | 0.101534i | ||||
\(795\) | 311.987 | − | 18.4468i | 0.392437 | − | 0.0232035i | ||||
\(796\) | 104.270 | + | 120.335i | 0.130993 | + | 0.151174i | ||||
\(797\) | 781.526 | + | 291.494i | 0.980585 | + | 0.365739i | 0.788091 | − | 0.615559i | \(-0.211070\pi\) |
0.192494 | + | 0.981298i | \(0.438342\pi\) | |||||||
\(798\) | 151.581 | + | 32.9743i | 0.189951 | + | 0.0413212i | ||||
\(799\) | −82.2363 | + | 280.071i | −0.102924 | + | 0.350527i | ||||
\(800\) | −137.405 | − | 33.4628i | −0.171757 | − | 0.0418285i | ||||
\(801\) | −25.1000 | + | 7.37003i | −0.0313359 | + | 0.00920104i | ||||
\(802\) | −65.3572 | − | 175.230i | −0.0814928 | − | 0.218491i | ||||
\(803\) | 930.910 | − | 1243.55i | 1.15929 | − | 1.54863i | ||||
\(804\) | − | 262.498i | − | 0.326490i | ||||||
\(805\) | 570.543 | − | 1395.25i | 0.708749 | − | 1.73323i | ||||
\(806\) | −232.051 | −0.287904 | ||||||||
\(807\) | −501.570 | − | 375.470i | −0.621524 | − | 0.465267i | ||||
\(808\) | 17.9118 | − | 6.68076i | 0.0221681 | − | 0.00826827i | ||||
\(809\) | −365.039 | − | 1243.21i | −0.451223 | − | 1.53672i | −0.800282 | − | 0.599623i | \(-0.795317\pi\) |
0.349060 | − | 0.937101i | \(-0.386501\pi\) | |||||||
\(810\) | −113.668 | + | 96.0632i | −0.140330 | + | 0.118597i | ||||
\(811\) | 807.315 | + | 237.049i | 0.995457 | + | 0.292292i | 0.738590 | − | 0.674155i | \(-0.235492\pi\) |
0.256866 | + | 0.966447i | \(0.417310\pi\) | |||||||
\(812\) | 36.7411 | − | 168.896i | 0.0452476 | − | 0.208000i | ||||
\(813\) | 9.78593 | − | 26.2371i | 0.0120368 | − | 0.0322719i | ||||
\(814\) | −438.532 | + | 379.990i | −0.538737 | + | 0.466818i | ||||
\(815\) | −880.038 | + | 990.646i | −1.07980 | + | 1.21552i | ||||
\(816\) | 8.90073 | − | 61.9060i | 0.0109078 | − | 0.0758652i | ||||
\(817\) | −125.977 | − | 168.285i | −0.154195 | − | 0.205980i | ||||
\(818\) | −181.700 | − | 835.262i | −0.222127 | − | 1.02110i | ||||
\(819\) | 394.997 | − | 342.267i | 0.482292 | − | 0.417908i | ||||
\(820\) | 668.804 | + | 375.983i | 0.815615 | + | 0.458516i | ||||
\(821\) | −861.044 | + | 553.359i | −1.04877 | + | 0.674007i | −0.947142 | − | 0.320815i | \(-0.896043\pi\) |
−0.101633 | + | 0.994822i | \(0.532407\pi\) | |||||||
\(822\) | 128.451 | − | 70.1393i | 0.156266 | − | 0.0853277i | ||||
\(823\) | 697.455 | − | 49.8830i | 0.847455 | − | 0.0606111i | 0.359145 | − | 0.933282i | \(-0.383068\pi\) |
0.488309 | + | 0.872671i | \(0.337614\pi\) | |||||||
\(824\) | −13.0551 | − | 44.4615i | −0.0158435 | − | 0.0539582i | ||||
\(825\) | 21.7486 | + | 465.209i | 0.0263620 | + | 0.563890i | ||||
\(826\) | −93.2133 | − | 648.313i | −0.112849 | − | 0.784883i | ||||
\(827\) | 829.971 | − | 829.971i | 1.00359 | − | 1.00359i | 0.00359873 | − | 0.999994i | \(-0.498854\pi\) |
0.999994 | − | 0.00359873i | \(-0.00114551\pi\) | |||||||
\(828\) | 238.080 | + | 185.320i | 0.287536 | + | 0.223816i | ||||
\(829\) | 357.477i | 0.431215i | 0.976480 | + | 0.215608i | \(0.0691732\pi\) | ||||
−0.976480 | + | 0.215608i | \(0.930827\pi\) | |||||||
\(830\) | 21.2994 | − | 20.7801i | 0.0256620 | − | 0.0250362i | ||||
\(831\) | −17.0824 | + | 37.4053i | −0.0205565 | + | 0.0450124i | ||||
\(832\) | −23.3084 | + | 42.6862i | −0.0280150 | + | 0.0513056i | ||||
\(833\) | −1225.90 | + | 87.6782i | −1.47167 | + | 0.105256i | ||||
\(834\) | −22.6336 | + | 77.0828i | −0.0271386 | + | 0.0924254i | ||||
\(835\) | −1335.41 | + | 590.054i | −1.59929 | + | 0.706651i | ||||
\(836\) | −53.0552 | − | 116.175i | −0.0634631 | − | 0.138965i | ||||
\(837\) | −654.449 | − | 46.8071i | −0.781899 | − | 0.0559225i | ||||
\(838\) | 127.443 | + | 585.844i | 0.152079 | + | 0.699098i | ||||
\(839\) | 12.7030 | + | 1.82642i | 0.0151407 | + | 0.00217690i | 0.149881 | − | 0.988704i | \(-0.452111\pi\) |
−0.134740 | + | 0.990881i | \(0.543020\pi\) | |||||||
\(840\) | 276.872 | + | 85.0225i | 0.329610 | + | 0.101217i | ||||
\(841\) | 670.924 | + | 431.177i | 0.797770 | + | 0.512695i | ||||
\(842\) | 207.517 | + | 14.8419i | 0.246457 | + | 0.0176270i | ||||
\(843\) | −7.68880 | + | 20.6145i | −0.00912076 | + | 0.0244537i | ||||
\(844\) | −309.335 | − | 481.334i | −0.366510 | − | 0.570301i | ||||
\(845\) | −621.378 | + | 223.066i | −0.735358 | + | 0.263983i | ||||
\(846\) | 177.174 | − | 204.470i | 0.209426 | − | 0.241691i | ||||
\(847\) | −132.887 | + | 243.365i | −0.156892 | + | 0.287326i | ||||
\(848\) | −149.933 | + | 55.9222i | −0.176808 | + | 0.0659460i | ||||
\(849\) | 468.488 | − | 67.3583i | 0.551811 | − | 0.0793384i | ||||
\(850\) | 336.913 | + | 108.028i | 0.396368 | + | 0.127091i | ||||
\(851\) | 781.194 | + | 127.374i | 0.917972 | + | 0.149676i | ||||
\(852\) | 112.385 | − | 112.385i | 0.131907 | − | 0.131907i | ||||
\(853\) | −874.894 | + | 1168.72i | −1.02567 | + | 1.37013i | −0.0986447 | + | 0.995123i | \(0.531451\pi\) |
−0.927022 | + | 0.375007i | \(0.877640\pi\) | |||||||
\(854\) | −1790.64 | − | 817.756i | −2.09676 | − | 0.957560i | ||||
\(855\) | −139.299 | − | 106.986i | −0.162923 | − | 0.125130i | ||||
\(856\) | −245.069 | + | 282.825i | −0.286296 | + | 0.330403i | ||||
\(857\) | −247.512 | + | 135.152i | −0.288812 | + | 0.157703i | −0.617124 | − | 0.786866i | \(-0.711702\pi\) |
0.328312 | + | 0.944569i | \(0.393520\pi\) | |||||||
\(858\) | 156.502 | + | 34.0449i | 0.182403 | + | 0.0396793i | ||||
\(859\) | −1361.25 | + | 621.660i | −1.58469 | + | 0.723702i | −0.996386 | − | 0.0849398i | \(-0.972930\pi\) |
−0.588301 | + | 0.808642i | \(0.700203\pi\) | |||||||
\(860\) | −208.104 | − | 332.776i | −0.241982 | − | 0.386949i | ||||
\(861\) | −1321.88 | − | 849.522i | −1.53529 | − | 0.986670i | ||||
\(862\) | −376.456 | − | 502.887i | −0.436724 | − | 0.583395i | ||||
\(863\) | 414.891 | − | 310.584i | 0.480755 | − | 0.359889i | −0.331246 | − | 0.943544i | \(-0.607469\pi\) |
0.812001 | + | 0.583656i | \(0.198378\pi\) | |||||||
\(864\) | −74.3468 | + | 115.686i | −0.0860495 | + | 0.133896i | ||||
\(865\) | −1198.49 | + | 749.487i | −1.38554 | + | 0.866459i | ||||
\(866\) | −114.795 | − | 251.366i | −0.132558 | − | 0.290261i | ||||
\(867\) | 62.7228 | − | 288.332i | 0.0723446 | − | 0.332563i | ||||
\(868\) | −339.099 | − | 621.014i | −0.390667 | − | 0.715454i | ||||
\(869\) | 413.856 | + | 358.609i | 0.476244 | + | 0.412668i | ||||
\(870\) | 44.3694 | − | 57.7705i | 0.0509993 | − | 0.0664029i | ||||
\(871\) | 212.147 | − | 464.538i | 0.243568 | − | 0.533338i | ||||
\(872\) | −4.82882 | − | 3.61481i | −0.00553764 | − | 0.00414542i | ||||
\(873\) | 785.549 | + | 785.549i | 0.899827 | + | 0.899827i | ||||
\(874\) | −75.3412 | + | 157.078i | −0.0862028 | + | 0.179724i | ||||
\(875\) | −735.352 | + | 1464.19i | −0.840402 | + | 1.67336i | ||||
\(876\) | −57.9406 | − | 402.985i | −0.0661422 | − | 0.460029i | ||||
\(877\) | 504.909 | + | 1353.71i | 0.575723 | + | 1.54357i | 0.819105 | + | 0.573643i | \(0.194470\pi\) |
−0.243382 | + | 0.969931i | \(0.578257\pi\) | |||||||
\(878\) | 572.618 | + | 312.673i | 0.652184 | + | 0.356120i | ||||
\(879\) | 188.831 | + | 163.623i | 0.214825 | + | 0.186147i | ||||
\(880\) | −80.5684 | − | 224.433i | −0.0915550 | − | 0.255038i | ||||
\(881\) | −987.670 | + | 634.737i | −1.12108 | + | 0.720473i | −0.963679 | − | 0.267062i | \(-0.913947\pi\) |
−0.157399 | + | 0.987535i | \(0.550311\pi\) | |||||||
\(882\) | 1067.35 | + | 398.100i | 1.21014 | + | 0.451360i | ||||
\(883\) | −14.2449 | + | 199.170i | −0.0161324 | + | 0.225561i | 0.982989 | + | 0.183662i | \(0.0587952\pi\) |
−0.999122 | + | 0.0418987i | \(0.986659\pi\) | |||||||
\(884\) | 65.7830 | − | 102.360i | 0.0744152 | − | 0.115792i | ||||
\(885\) | 81.0292 | − | 263.868i | 0.0915584 | − | 0.298156i | ||||
\(886\) | 119.925 | − | 834.100i | 0.135356 | − | 0.941422i | ||||
\(887\) | 889.422 | − | 193.482i | 1.00273 | − | 0.218131i | 0.318913 | − | 0.947784i | \(-0.396682\pi\) |
0.683817 | + | 0.729653i | \(0.260319\pi\) | |||||||
\(888\) | −10.8494 | + | 151.694i | −0.0122178 | + | 0.170827i | ||||
\(889\) | 664.061 | − | 303.267i | 0.746975 | − | 0.341132i | ||||
\(890\) | −11.3984 | − | 25.7969i | −0.0128072 | − | 0.0289853i | ||||
\(891\) | −240.773 | − | 70.6974i | −0.270228 | − | 0.0793461i | ||||
\(892\) | −26.5097 | − | 370.653i | −0.0297193 | − | 0.415531i | ||||
\(893\) | 137.115 | + | 74.8705i | 0.153544 | + | 0.0838416i | ||||
\(894\) | 107.427 | + | 49.0605i | 0.120165 | + | 0.0548775i | ||||
\(895\) | −437.131 | − | 448.056i | −0.488414 | − | 0.500622i | ||||
\(896\) | −148.298 | −0.165511 | ||||||||
\(897\) | −101.073 | − | 193.684i | −0.112679 | − | 0.215924i | ||||
\(898\) | −797.130 | − | 797.130i | −0.887672 | − | 0.887672i | ||||
\(899\) | −176.141 | + | 25.3253i | −0.195930 | + | 0.0281705i | ||||
\(900\) | −242.464 | − | 220.806i | −0.269405 | − | 0.245340i | ||||
\(901\) | 384.129 | − | 112.790i | 0.426336 | − | 0.125183i | ||||
\(902\) | 92.2903 | + | 1290.39i | 0.102317 | + | 1.43058i | ||||
\(903\) | 385.231 | + | 705.497i | 0.426612 | + | 0.781281i | ||||
\(904\) | 4.66070 | + | 7.25220i | 0.00515565 | + | 0.00802234i | ||||
\(905\) | −540.750 | + | 961.894i | −0.597514 | + | 1.06287i | ||||
\(906\) | 282.409 | + | 325.917i | 0.311710 | + | 0.359732i | ||||
\(907\) | 1276.05 | − | 277.588i | 1.40689 | − | 0.306051i | 0.555910 | − | 0.831243i | \(-0.312370\pi\) |
0.850984 | + | 0.525192i | \(0.176006\pi\) | |||||||
\(908\) | 198.533 | − | 148.620i | 0.218648 | − | 0.163678i | ||||
\(909\) | 43.8792 | + | 6.30888i | 0.0482720 | + | 0.00694046i | ||||
\(910\) | 421.262 | + | 374.227i | 0.462925 | + | 0.411239i | ||||
\(911\) | 355.182 | + | 409.902i | 0.389881 | + | 0.449947i | 0.916428 | − | 0.400199i | \(-0.131059\pi\) |
−0.526547 | + | 0.850146i | \(0.676514\pi\) | |||||||
\(912\) | −31.3628 | − | 11.6977i | −0.0343890 | − | 0.0128265i | ||||
\(913\) | 49.0279 | + | 10.6654i | 0.0536998 | + | 0.0116817i | ||||
\(914\) | −270.557 | + | 921.433i | −0.296014 | + | 1.00813i | ||||
\(915\) | −535.494 | − | 633.627i | −0.585239 | − | 0.692489i | ||||
\(916\) | −566.175 | + | 166.244i | −0.618095 | + | 0.181489i | ||||
\(917\) | −1074.82 | − | 2881.71i | −1.17211 | − | 3.14254i | ||||
\(918\) | 206.174 | − | 275.417i | 0.224591 | − | 0.300018i | ||||
\(919\) | − | 133.101i | − | 0.144833i | −0.997374 | − | 0.0724163i | \(-0.976929\pi\) | ||
0.997374 | − | 0.0724163i | \(-0.0230710\pi\) | |||||||
\(920\) | −164.706 | + | 280.485i | −0.179029 | + | 0.304875i | ||||
\(921\) | 525.750 | 0.570847 | ||||||||
\(922\) | −846.117 | − | 633.395i | −0.917698 | − | 0.686980i | ||||
\(923\) | 289.713 | − | 108.057i | 0.313882 | − | 0.117072i | ||||
\(924\) | 137.588 | + | 468.580i | 0.148904 | + | 0.507122i | ||||
\(925\) | −835.906 | − | 203.571i | −0.903682 | − | 0.220077i | ||||
\(926\) | 1193.12 | + | 350.332i | 1.28847 | + | 0.378328i | ||||
\(927\) | 22.8409 | − | 104.998i | 0.0246396 | − | 0.113266i | ||||
\(928\) | −13.0340 | + | 34.9454i | −0.0140452 | + | 0.0376567i | ||||
\(929\) | −73.7038 | + | 63.8647i | −0.0793367 | + | 0.0687457i | −0.693626 | − | 0.720335i | \(-0.743988\pi\) |
0.614290 | + | 0.789081i | \(0.289443\pi\) | |||||||
\(930\) | −17.6003 | − | 297.670i | −0.0189250 | − | 0.320076i | ||||
\(931\) | −93.6131 | + | 651.093i | −0.100551 | + | 0.699349i | ||||
\(932\) | −8.73831 | − | 11.6730i | −0.00937587 | − | 0.0125247i | ||||
\(933\) | 145.014 | + | 666.621i | 0.155428 | + | 0.714492i | ||||
\(934\) | 872.887 | − | 756.361i | 0.934569 | − | 0.809808i | ||||
\(935\) | 160.997 | + | 574.437i | 0.172189 | + | 0.614371i | ||||
\(936\) | −94.8763 | + | 60.9733i | −0.101364 | + | 0.0651424i | ||||
\(937\) | −1474.09 | + | 804.917i | −1.57321 | + | 0.859036i | −0.574015 | + | 0.818845i | \(0.694615\pi\) |
−0.999192 | + | 0.0401912i | \(0.987203\pi\) | |||||||
\(938\) | 1553.21 | − | 111.088i | 1.65588 | − | 0.118431i | ||||
\(939\) | 117.368 | + | 399.720i | 0.124993 | + | 0.425686i | ||||
\(940\) | 243.416 | + | 160.713i | 0.258953 | + | 0.170971i | ||||
\(941\) | −0.0217635 | − | 0.151368i | −2.31280e−5 | − | 0.000160859i | 0.989810 | − | 0.142395i | \(-0.0454804\pi\) |
−0.989833 | + | 0.142234i | \(0.954571\pi\) | |||||||
\(942\) | −199.951 | + | 199.951i | −0.212262 | + | 0.212262i | ||||
\(943\) | 1271.08 | − | 1224.09i | 1.34791 | − | 1.29808i | ||||
\(944\) | 141.333i | 0.149717i | ||||||||
\(945\) | 1112.59 | + | 1140.40i | 1.17735 | + | 1.20677i | ||||
\(946\) | 274.918 | − | 601.987i | 0.290611 | − | 0.636350i | ||||
\(947\) | −303.229 | + | 555.322i | −0.320199 | + | 0.586401i | −0.987356 | − | 0.158516i | \(-0.949329\pi\) |
0.667157 | + | 0.744917i | \(0.267511\pi\) | |||||||
\(948\) | 143.158 | − | 10.2389i | 0.151011 | − | 0.0108005i | ||||
\(949\) | 223.151 | − | 759.983i | 0.235143 | − | 0.800825i | ||||
\(950\) | 94.8255 | − | 163.908i | 0.0998163 | − | 0.172535i | ||||
\(951\) | −115.723 | − | 253.399i | −0.121686 | − | 0.266455i | ||||
\(952\) | 370.067 | + | 26.4677i | 0.388726 | + | 0.0278022i | ||||
\(953\) | −195.808 | − | 900.115i | −0.205465 | − | 0.944507i | −0.958181 | − | 0.286162i | \(-0.907620\pi\) |
0.752716 | − | 0.658345i | \(-0.228743\pi\) | |||||||
\(954\) | −367.297 | − | 52.8093i | −0.385007 | − | 0.0553557i | ||||
\(955\) | 1187.40 | − | 629.470i | 1.24335 | − | 0.659131i | ||||
\(956\) | −359.292 | − | 230.903i | −0.375828 | − | 0.241530i | ||||
\(957\) | 122.511 | + | 8.76212i | 0.128015 | + | 0.00915582i | ||||
\(958\) | −294.541 | + | 789.696i | −0.307454 | + | 0.824317i | ||||
\(959\) | 469.377 | + | 730.365i | 0.489444 | + | 0.761590i | ||||
\(960\) | −56.5250 | − | 26.6620i | −0.0588802 | − | 0.0277729i | ||||
\(961\) | 152.275 | − | 175.735i | 0.158455 | − | 0.182867i | ||||
\(962\) | −141.797 | + | 259.682i | −0.147398 | + | 0.269939i | ||||
\(963\) | −813.084 | + | 303.264i | −0.844324 | + | 0.314916i | ||||
\(964\) | 94.3559 | − | 13.5663i | 0.0978795 | − | 0.0140730i | ||||
\(965\) | 113.597 | − | 726.331i | 0.117717 | − | 0.752675i | ||||
\(966\) | 370.638 | − | 553.525i | 0.383683 | − | 0.573008i | ||||
\(967\) | 571.774 | − | 571.774i | 0.591286 | − | 0.591286i | −0.346693 | − | 0.937979i | \(-0.612695\pi\) |
0.937979 | + | 0.346693i | \(0.112695\pi\) | |||||||
\(968\) | 35.8563 | − | 47.8984i | 0.0370416 | − | 0.0494819i | ||||
\(969\) | 76.1759 | + | 34.7884i | 0.0786129 | + | 0.0359013i | ||||
\(970\) | −729.536 | + | 949.880i | −0.752099 | + | 0.979258i | ||||
\(971\) | 375.175 | − | 432.976i | 0.386380 | − | 0.445907i | −0.528924 | − | 0.848669i | \(-0.677404\pi\) |
0.915305 | + | 0.402762i | \(0.131950\pi\) | |||||||
\(972\) | −441.773 | + | 241.226i | −0.454499 | + | 0.248175i | ||||
\(973\) | −465.681 | − | 101.303i | −0.478603 | − | 0.104114i | ||||
\(974\) | 682.394 | − | 311.639i | 0.700610 | − | 0.319958i | ||||
\(975\) | 93.2863 | + | 218.377i | 0.0956783 | + | 0.223977i | ||||
\(976\) | 357.341 | + | 229.649i | 0.366129 | + | 0.235297i | ||||
\(977\) | −506.565 | − | 676.692i | −0.518491 | − | 0.692622i | 0.462513 | − | 0.886613i | \(-0.346948\pi\) |
−0.981003 | + | 0.193990i | \(0.937857\pi\) | |||||||
\(978\) | −468.786 | + | 350.929i | −0.479331 | + | 0.358823i | ||||
\(979\) | 25.7097 | − | 40.0051i | 0.0262612 | − | 0.0408632i | ||||
\(980\) | −275.852 | + | 1196.77i | −0.281482 | + | 1.22119i | ||||
\(981\) | −5.81056 | − | 12.7234i | −0.00592310 | − | 0.0129698i | ||||
\(982\) | −0.781428 | + | 3.59217i | −0.000795752 | + | 0.00365801i | ||||
\(983\) | −588.867 | − | 1078.43i | −0.599051 | − | 1.09708i | −0.984671 | − | 0.174422i | \(-0.944194\pi\) |
0.385620 | − | 0.922658i | \(-0.373987\pi\) | |||||||
\(984\) | 256.247 | + | 222.039i | 0.260414 | + | 0.225650i | ||||
\(985\) | 1056.96 | − | 138.677i | 1.07306 | − | 0.140789i | ||||
\(986\) | 38.7623 | − | 84.8776i | 0.0393127 | − | 0.0860827i | ||||
\(987\) | −478.222 | − | 357.993i | −0.484521 | − | 0.362708i | ||||
\(988\) | −46.0483 | − | 46.0483i | −0.0466075 | − | 0.0466075i | ||||
\(989\) | −870.791 | + | 237.974i | −0.880477 | + | 0.240620i | ||||
\(990\) | 85.4422 | − | 546.312i | 0.0863053 | − | 0.551830i | ||||
\(991\) | −25.1550 | − | 174.957i | −0.0253835 | − | 0.176546i | 0.973186 | − | 0.230021i | \(-0.0738794\pi\) |
−0.998569 | + | 0.0534748i | \(0.982970\pi\) | |||||||
\(992\) | 53.3560 | + | 143.053i | 0.0537863 | + | 0.144207i | ||||
\(993\) | −604.019 | − | 329.819i | −0.608277 | − | 0.332144i | ||||
\(994\) | 712.545 | + | 617.424i | 0.716846 | + | 0.621151i | ||||
\(995\) | −374.654 | + | 134.495i | −0.376537 | + | 0.135171i | ||||
\(996\) | 11.0628 | − | 7.10960i | 0.0111072 | − | 0.00713816i | ||||
\(997\) | −1537.77 | − | 573.560i | −1.54240 | − | 0.575286i | −0.572740 | − | 0.819737i | \(-0.694119\pi\) |
−0.969662 | + | 0.244451i | \(0.921392\pi\) | |||||||
\(998\) | 0.855863 | − | 11.9665i | 0.000857578 | − | 0.0119905i | ||||
\(999\) | −452.289 | + | 703.775i | −0.452742 | + | 0.704480i |
(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 | 230.3.k.b.3.5 | ✓ | 240 | |
5.2 | odd | 4 | inner | 230.3.k.b.187.8 | yes | 240 | |
23.8 | even | 11 | inner | 230.3.k.b.123.8 | yes | 240 | |
115.77 | odd | 44 | inner | 230.3.k.b.77.5 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.k.b.3.5 | ✓ | 240 | 1.1 | even | 1 | trivial | |
230.3.k.b.77.5 | yes | 240 | 115.77 | odd | 44 | inner | |
230.3.k.b.123.8 | yes | 240 | 23.8 | even | 11 | inner | |
230.3.k.b.187.8 | yes | 240 | 5.2 | odd | 4 | inner |