Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(34,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.34");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.r (of order \(22\), degree \(10\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 181.5 | ||
Character | \(\chi\) | \(=\) | 483.181 |
Dual form | 483.2.r.a.475.5 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.334222 | − | 2.32456i | −0.236330 | − | 1.64371i | −0.669797 | − | 0.742544i | \(-0.733619\pi\) |
0.433467 | − | 0.901169i | \(-0.357290\pi\) | |||||||
\(3\) | −0.909632 | − | 0.415415i | −0.525176 | − | 0.239840i | ||||
\(4\) | −3.37290 | + | 0.990372i | −1.68645 | + | 0.495186i | ||||
\(5\) | 1.07873 | − | 1.24492i | 0.482422 | − | 0.556745i | −0.461403 | − | 0.887191i | \(-0.652654\pi\) |
0.943825 | + | 0.330446i | \(0.107199\pi\) | |||||||
\(6\) | −0.661639 | + | 2.25334i | −0.270113 | + | 0.919921i | ||||
\(7\) | 1.29219 | − | 2.30873i | 0.488403 | − | 0.872618i | ||||
\(8\) | 1.47830 | + | 3.23703i | 0.522658 | + | 1.14446i | ||||
\(9\) | 0.654861 | + | 0.755750i | 0.218287 | + | 0.251917i | ||||
\(10\) | −3.25443 | − | 2.09149i | −1.02914 | − | 0.661388i | ||||
\(11\) | −3.91184 | − | 0.562438i | −1.17946 | − | 0.169581i | −0.475434 | − | 0.879751i | \(-0.657709\pi\) |
−0.704030 | + | 0.710170i | \(0.748618\pi\) | |||||||
\(12\) | 3.47951 | + | 0.500278i | 1.00445 | + | 0.144418i | ||||
\(13\) | 0.979692 | − | 1.52443i | 0.271718 | − | 0.422801i | −0.678400 | − | 0.734693i | \(-0.737326\pi\) |
0.950118 | + | 0.311892i | \(0.100963\pi\) | |||||||
\(14\) | −5.79867 | − | 2.23215i | −1.54976 | − | 0.596568i | ||||
\(15\) | −1.49840 | + | 0.684298i | −0.386886 | + | 0.176685i | ||||
\(16\) | 1.11609 | − | 0.717265i | 0.279021 | − | 0.179316i | ||||
\(17\) | −6.74391 | − | 1.98019i | −1.63564 | − | 0.480267i | −0.670479 | − | 0.741928i | \(-0.733912\pi\) |
−0.965160 | + | 0.261661i | \(0.915730\pi\) | |||||||
\(18\) | 1.53792 | − | 1.77485i | 0.362491 | − | 0.418337i | ||||
\(19\) | 4.11285 | − | 1.20764i | 0.943553 | − | 0.277052i | 0.226452 | − | 0.974022i | \(-0.427287\pi\) |
0.717100 | + | 0.696970i | \(0.245469\pi\) | |||||||
\(20\) | −2.40551 | + | 5.26733i | −0.537888 | + | 1.17781i | ||||
\(21\) | −2.13450 | + | 1.56330i | −0.465786 | + | 0.341140i | ||||
\(22\) | 9.28129i | 1.97878i | ||||||||
\(23\) | −4.78483 | + | 0.324602i | −0.997707 | + | 0.0676841i | ||||
\(24\) | − | 3.55861i | − | 0.726398i | ||||||
\(25\) | 0.325406 | + | 2.26325i | 0.0650811 | + | 0.452649i | ||||
\(26\) | −3.87107 | − | 1.76786i | −0.759178 | − | 0.346705i | ||||
\(27\) | −0.281733 | − | 0.959493i | −0.0542195 | − | 0.184655i | ||||
\(28\) | −2.07193 | + | 9.06687i | −0.391558 | + | 1.71348i | ||||
\(29\) | 8.12133 | + | 2.38464i | 1.50809 | + | 0.442816i | 0.928264 | − | 0.371921i | \(-0.121301\pi\) |
0.579830 | + | 0.814738i | \(0.303119\pi\) | |||||||
\(30\) | 2.09149 | + | 3.25443i | 0.381853 | + | 0.594174i | ||||
\(31\) | 6.17870 | − | 2.82172i | 1.10973 | − | 0.506796i | 0.225684 | − | 0.974200i | \(-0.427538\pi\) |
0.884043 | + | 0.467405i | \(0.154811\pi\) | |||||||
\(32\) | 2.62044 | + | 3.02415i | 0.463233 | + | 0.534600i | ||||
\(33\) | 3.32469 | + | 2.13665i | 0.578754 | + | 0.371943i | ||||
\(34\) | −2.34912 | + | 16.3385i | −0.402870 | + | 2.80202i | ||||
\(35\) | −1.48026 | − | 4.09917i | −0.250210 | − | 0.692886i | ||||
\(36\) | −2.95725 | − | 1.90051i | −0.492875 | − | 0.316752i | ||||
\(37\) | −4.72547 | + | 4.09464i | −0.776862 | + | 0.673155i | −0.950177 | − | 0.311711i | \(-0.899098\pi\) |
0.173314 | + | 0.984867i | \(0.444552\pi\) | |||||||
\(38\) | −4.18184 | − | 9.15695i | −0.678384 | − | 1.48545i | ||||
\(39\) | −1.52443 | + | 0.979692i | −0.244104 | + | 0.156876i | ||||
\(40\) | 5.62452 | + | 1.65151i | 0.889315 | + | 0.261127i | ||||
\(41\) | 2.19465 | + | 1.90167i | 0.342746 | + | 0.296992i | 0.809175 | − | 0.587567i | \(-0.199914\pi\) |
−0.466429 | + | 0.884559i | \(0.654460\pi\) | |||||||
\(42\) | 4.34738 | + | 4.43929i | 0.670816 | + | 0.684997i | ||||
\(43\) | −8.86097 | − | 4.04667i | −1.35129 | − | 0.617111i | −0.397500 | − | 0.917602i | \(-0.630122\pi\) |
−0.953785 | + | 0.300491i | \(0.902850\pi\) | |||||||
\(44\) | 13.7513 | − | 1.97713i | 2.07308 | − | 0.298064i | ||||
\(45\) | 1.64726 | 0.245560 | ||||||||
\(46\) | 2.35375 | + | 11.0142i | 0.347042 | + | 1.62395i | ||||
\(47\) | 1.92547i | 0.280859i | 0.990091 | + | 0.140430i | \(0.0448484\pi\) | ||||
−0.990091 | + | 0.140430i | \(0.955152\pi\) | |||||||
\(48\) | −1.31319 | + | 0.188808i | −0.189543 | + | 0.0272521i | ||||
\(49\) | −3.66048 | − | 5.96665i | −0.522926 | − | 0.852378i | ||||
\(50\) | 5.15230 | − | 1.51285i | 0.728645 | − | 0.213949i | ||||
\(51\) | 5.31188 | + | 4.60277i | 0.743812 | + | 0.644516i | ||||
\(52\) | −1.79465 | + | 6.11201i | −0.248873 | + | 0.847583i | ||||
\(53\) | −6.37111 | − | 9.91365i | −0.875140 | − | 1.36174i | −0.931656 | − | 0.363342i | \(-0.881635\pi\) |
0.0565158 | − | 0.998402i | \(-0.482001\pi\) | |||||||
\(54\) | −2.13624 | + | 0.975588i | −0.290705 | + | 0.132761i | ||||
\(55\) | −4.92001 | + | 4.26321i | −0.663413 | + | 0.574851i | ||||
\(56\) | 9.38367 | + | 0.769862i | 1.25395 | + | 0.102877i | ||||
\(57\) | −4.24285 | − | 0.610030i | −0.561980 | − | 0.0808005i | ||||
\(58\) | 2.82892 | − | 19.6755i | 0.371455 | − | 2.58353i | ||||
\(59\) | 1.25097 | − | 1.94655i | 0.162863 | − | 0.253420i | −0.750225 | − | 0.661183i | \(-0.770055\pi\) |
0.913088 | + | 0.407763i | \(0.133691\pi\) | |||||||
\(60\) | 4.37626 | − | 3.79205i | 0.564972 | − | 0.489551i | ||||
\(61\) | 5.49756 | + | 12.0380i | 0.703890 | + | 1.54130i | 0.835190 | + | 0.549962i | \(0.185358\pi\) |
−0.131300 | + | 0.991343i | \(0.541915\pi\) | |||||||
\(62\) | −8.62431 | − | 13.4197i | −1.09529 | − | 1.70430i | ||||
\(63\) | 2.59103 | − | 0.535324i | 0.326439 | − | 0.0674445i | ||||
\(64\) | 7.89162 | − | 9.10742i | 0.986453 | − | 1.13843i | ||||
\(65\) | −0.840971 | − | 2.86408i | −0.104310 | − | 0.355246i | ||||
\(66\) | 3.85559 | − | 8.44256i | 0.474590 | − | 1.03921i | ||||
\(67\) | 1.67086 | − | 0.240234i | 0.204128 | − | 0.0293492i | −0.0394921 | − | 0.999220i | \(-0.512574\pi\) |
0.243620 | + | 0.969871i | \(0.421665\pi\) | |||||||
\(68\) | 24.7077 | 2.99624 | ||||||||
\(69\) | 4.48728 | + | 1.69242i | 0.540205 | + | 0.203744i | ||||
\(70\) | −9.03404 | + | 4.81099i | −1.07977 | + | 0.575023i | ||||
\(71\) | −0.974007 | − | 6.77437i | −0.115593 | − | 0.803970i | −0.962316 | − | 0.271935i | \(-0.912337\pi\) |
0.846722 | − | 0.532035i | \(-0.178573\pi\) | |||||||
\(72\) | −1.47830 | + | 3.23703i | −0.174219 | + | 0.381487i | ||||
\(73\) | −0.672332 | − | 2.28975i | −0.0786905 | − | 0.267995i | 0.910745 | − | 0.412969i | \(-0.135508\pi\) |
−0.989435 | + | 0.144974i | \(0.953690\pi\) | |||||||
\(74\) | 11.0976 | + | 9.61613i | 1.29007 | + | 1.11785i | ||||
\(75\) | 0.644187 | − | 2.19390i | 0.0743843 | − | 0.253330i | ||||
\(76\) | −12.6762 | + | 8.14650i | −1.45406 | + | 0.934468i | ||||
\(77\) | −6.35337 | + | 8.30461i | −0.724033 | + | 0.946398i | ||||
\(78\) | 2.78685 | + | 3.21620i | 0.315549 | + | 0.364163i | ||||
\(79\) | 5.47972 | − | 8.52661i | 0.616516 | − | 0.959318i | −0.382853 | − | 0.923809i | \(-0.625058\pi\) |
0.999369 | − | 0.0355091i | \(-0.0113053\pi\) | |||||||
\(80\) | 0.311017 | − | 2.16317i | 0.0347728 | − | 0.241850i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 3.68706 | − | 5.73718i | 0.407168 | − | 0.633565i | ||||
\(83\) | −5.24590 | − | 6.05410i | −0.575813 | − | 0.664523i | 0.390886 | − | 0.920439i | \(-0.372169\pi\) |
−0.966699 | + | 0.255916i | \(0.917623\pi\) | |||||||
\(84\) | 5.65120 | − | 7.38680i | 0.616597 | − | 0.805966i | ||||
\(85\) | −9.74003 | + | 6.25954i | −1.05645 | + | 0.678942i | ||||
\(86\) | −6.44521 | + | 21.9504i | −0.695004 | + | 2.36697i | ||||
\(87\) | −6.39681 | − | 5.54287i | −0.685810 | − | 0.594258i | ||||
\(88\) | −3.96225 | − | 13.4942i | −0.422377 | − | 1.43848i | ||||
\(89\) | 4.00205 | − | 8.76326i | 0.424216 | − | 0.928904i | −0.570014 | − | 0.821635i | \(-0.693062\pi\) |
0.994230 | − | 0.107269i | \(-0.0342106\pi\) | |||||||
\(90\) | −0.550551 | − | 3.82917i | −0.0580332 | − | 0.403630i | ||||
\(91\) | −2.25355 | − | 4.23170i | −0.236236 | − | 0.443603i | ||||
\(92\) | 15.8173 | − | 5.83361i | 1.64907 | − | 0.608196i | ||||
\(93\) | −6.79253 | −0.704352 | ||||||||
\(94\) | 4.47588 | − | 0.643535i | 0.461652 | − | 0.0663755i | ||||
\(95\) | 2.93323 | − | 6.42289i | 0.300943 | − | 0.658974i | ||||
\(96\) | −1.12736 | − | 3.83944i | −0.115061 | − | 0.391861i | ||||
\(97\) | 0.0230611 | − | 0.0266139i | 0.00234150 | − | 0.00270224i | −0.754578 | − | 0.656211i | \(-0.772158\pi\) |
0.756919 | + | 0.653509i | \(0.226704\pi\) | |||||||
\(98\) | −12.6464 | + | 10.5032i | −1.27748 | + | 1.06098i | ||||
\(99\) | −2.13665 | − | 3.32469i | −0.214741 | − | 0.334144i | ||||
\(100\) | −3.33902 | − | 7.31142i | −0.333902 | − | 0.731142i | ||||
\(101\) | −2.57031 | + | 2.22718i | −0.255755 | + | 0.221613i | −0.773296 | − | 0.634046i | \(-0.781393\pi\) |
0.517541 | + | 0.855659i | \(0.326848\pi\) | |||||||
\(102\) | 8.92408 | − | 13.8861i | 0.883615 | − | 1.37493i | ||||
\(103\) | 1.90995 | − | 13.2840i | 0.188193 | − | 1.30891i | −0.648490 | − | 0.761223i | \(-0.724599\pi\) |
0.836683 | − | 0.547687i | \(-0.184492\pi\) | |||||||
\(104\) | 6.38290 | + | 0.917722i | 0.625895 | + | 0.0899901i | ||||
\(105\) | −0.356365 | + | 4.34366i | −0.0347777 | + | 0.423898i | ||||
\(106\) | −20.9155 | + | 18.1234i | −2.03150 | + | 1.76030i | ||||
\(107\) | −3.56999 | + | 1.63036i | −0.345124 | + | 0.157613i | −0.580434 | − | 0.814308i | \(-0.697117\pi\) |
0.235310 | + | 0.971920i | \(0.424390\pi\) | |||||||
\(108\) | 1.90051 | + | 2.95725i | 0.182877 | + | 0.284562i | ||||
\(109\) | −0.988603 | + | 3.36687i | −0.0946910 | + | 0.322488i | −0.993193 | − | 0.116482i | \(-0.962838\pi\) |
0.898502 | + | 0.438970i | \(0.144656\pi\) | |||||||
\(110\) | 11.5545 | + | 10.0120i | 1.10167 | + | 0.954607i | ||||
\(111\) | 5.99941 | − | 1.76159i | 0.569439 | − | 0.167202i | ||||
\(112\) | −0.213774 | − | 3.50358i | −0.0201998 | − | 0.331058i | ||||
\(113\) | 13.4399 | − | 1.93236i | 1.26432 | − | 0.181781i | 0.522648 | − | 0.852549i | \(-0.324944\pi\) |
0.741668 | + | 0.670767i | \(0.234035\pi\) | |||||||
\(114\) | 10.0667i | 0.942829i | ||||||||
\(115\) | −4.75744 | + | 6.30689i | −0.443633 | + | 0.588121i | ||||
\(116\) | −29.7541 | −2.76260 | ||||||||
\(117\) | 1.79365 | − | 0.257888i | 0.165823 | − | 0.0238417i | ||||
\(118\) | −4.94298 | − | 2.25739i | −0.455039 | − | 0.207809i | ||||
\(119\) | −13.2862 | + | 13.0111i | −1.21794 | + | 1.19273i | ||||
\(120\) | −4.43018 | − | 3.83878i | −0.404419 | − | 0.350431i | ||||
\(121\) | 4.43174 | + | 1.30128i | 0.402885 | + | 0.118298i | ||||
\(122\) | 26.1456 | − | 16.8028i | 2.36711 | − | 1.52125i | ||||
\(123\) | −1.20634 | − | 2.64151i | −0.108772 | − | 0.238177i | ||||
\(124\) | −18.0456 | + | 15.6366i | −1.62054 | + | 1.40421i | ||||
\(125\) | 10.0974 | + | 6.48922i | 0.903141 | + | 0.580413i | ||||
\(126\) | −2.11037 | − | 5.84409i | −0.188007 | − | 0.520633i | ||||
\(127\) | −1.15963 | + | 8.06542i | −0.102901 | + | 0.715690i | 0.871422 | + | 0.490534i | \(0.163198\pi\) |
−0.974323 | + | 0.225156i | \(0.927711\pi\) | |||||||
\(128\) | −17.0757 | − | 10.9739i | −1.50929 | − | 0.969964i | ||||
\(129\) | 6.37917 | + | 7.36196i | 0.561655 | + | 0.648184i | ||||
\(130\) | −6.37667 | + | 2.91213i | −0.559271 | + | 0.255410i | ||||
\(131\) | −8.27443 | − | 12.8753i | −0.722940 | − | 1.12492i | −0.987048 | − | 0.160424i | \(-0.948714\pi\) |
0.264108 | − | 0.964493i | \(-0.414922\pi\) | |||||||
\(132\) | −13.3299 | − | 3.91402i | −1.16022 | − | 0.340671i | ||||
\(133\) | 2.52647 | − | 11.0560i | 0.219073 | − | 0.958674i | ||||
\(134\) | −1.11688 | − | 3.80373i | −0.0964834 | − | 0.328592i | ||||
\(135\) | −1.49840 | − | 0.684298i | −0.128962 | − | 0.0588950i | ||||
\(136\) | −3.55960 | − | 24.7575i | −0.305233 | − | 2.12294i | ||||
\(137\) | − | 2.16432i | − | 0.184911i | −0.995717 | − | 0.0924553i | \(-0.970528\pi\) | ||
0.995717 | − | 0.0924553i | \(-0.0294715\pi\) | |||||||
\(138\) | 2.43440 | − | 10.9966i | 0.207230 | − | 0.936094i | ||||
\(139\) | − | 17.6115i | − | 1.49379i | −0.664944 | − | 0.746893i | \(-0.731545\pi\) | ||
0.664944 | − | 0.746893i | \(-0.268455\pi\) | |||||||
\(140\) | 9.05247 | + | 12.3601i | 0.765073 | + | 1.04462i | ||||
\(141\) | 0.799871 | − | 1.75147i | 0.0673613 | − | 0.147501i | ||||
\(142\) | −15.4219 | + | 4.52828i | −1.29418 | + | 0.380005i | ||||
\(143\) | −4.68979 | + | 5.41231i | −0.392180 | + | 0.452600i | ||||
\(144\) | 1.27295 | + | 0.373773i | 0.106079 | + | 0.0311477i | ||||
\(145\) | 11.7294 | − | 7.53803i | 0.974074 | − | 0.625999i | ||||
\(146\) | −5.09797 | + | 2.32816i | −0.421911 | + | 0.192680i | ||||
\(147\) | 0.851054 | + | 6.94807i | 0.0701937 | + | 0.573067i | ||||
\(148\) | 11.8833 | − | 18.4908i | 0.976802 | − | 1.51993i | ||||
\(149\) | −5.57632 | − | 0.801754i | −0.456830 | − | 0.0656823i | −0.0899413 | − | 0.995947i | \(-0.528668\pi\) |
−0.366889 | + | 0.930265i | \(0.619577\pi\) | |||||||
\(150\) | −5.31516 | − | 0.764204i | −0.433981 | − | 0.0623970i | ||||
\(151\) | 2.68822 | + | 1.72762i | 0.218764 | + | 0.140591i | 0.645434 | − | 0.763816i | \(-0.276677\pi\) |
−0.426669 | + | 0.904408i | \(0.640313\pi\) | |||||||
\(152\) | 9.98920 | + | 11.5281i | 0.810231 | + | 0.935056i | ||||
\(153\) | −2.91980 | − | 6.39346i | −0.236051 | − | 0.516881i | ||||
\(154\) | 21.4280 | + | 11.9932i | 1.72672 | + | 0.966441i | ||||
\(155\) | 3.15233 | − | 10.7359i | 0.253201 | − | 0.862325i | ||||
\(156\) | 4.17149 | − | 4.81415i | 0.333986 | − | 0.385441i | ||||
\(157\) | −0.665729 | + | 0.195476i | −0.0531310 | + | 0.0156007i | −0.308190 | − | 0.951325i | \(-0.599723\pi\) |
0.255059 | + | 0.966925i | \(0.417905\pi\) | |||||||
\(158\) | −21.6521 | − | 9.88817i | −1.72255 | − | 0.786660i | ||||
\(159\) | 1.67709 | + | 11.6644i | 0.133002 | + | 0.925049i | ||||
\(160\) | 6.59158 | 0.521110 | ||||||||
\(161\) | −5.43351 | + | 11.4663i | −0.428220 | + | 0.903674i | ||||
\(162\) | 2.34847 | 0.184513 | ||||||||
\(163\) | −0.376860 | − | 2.62112i | −0.0295179 | − | 0.205302i | 0.969725 | − | 0.244198i | \(-0.0785248\pi\) |
−0.999243 | + | 0.0388966i | \(0.987616\pi\) | |||||||
\(164\) | −9.28569 | − | 4.24063i | −0.725091 | − | 0.331138i | ||||
\(165\) | 6.24640 | − | 1.83411i | 0.486281 | − | 0.142785i | ||||
\(166\) | −12.3198 | + | 14.2178i | −0.956204 | + | 1.10352i | ||||
\(167\) | 2.45535 | − | 8.36217i | 0.190001 | − | 0.647084i | −0.808298 | − | 0.588774i | \(-0.799611\pi\) |
0.998299 | − | 0.0583098i | \(-0.0185711\pi\) | |||||||
\(168\) | −8.21588 | − | 4.59841i | −0.633869 | − | 0.354775i | ||||
\(169\) | 4.03630 | + | 8.83827i | 0.310485 | + | 0.679867i | ||||
\(170\) | 17.8060 | + | 20.5492i | 1.36566 | + | 1.57605i | ||||
\(171\) | 3.60602 | + | 2.31745i | 0.275759 | + | 0.177220i | ||||
\(172\) | 33.8949 | + | 4.87334i | 2.58446 | + | 0.371589i | ||||
\(173\) | 14.6147 | + | 2.10128i | 1.11114 | + | 0.159757i | 0.673351 | − | 0.739323i | \(-0.264854\pi\) |
0.437785 | + | 0.899080i | \(0.355763\pi\) | |||||||
\(174\) | −10.7468 | + | 16.7223i | −0.814712 | + | 1.26772i | ||||
\(175\) | 5.64571 | + | 2.17327i | 0.426776 | + | 0.164284i | ||||
\(176\) | −4.76936 | + | 2.17810i | −0.359504 | + | 0.164180i | ||||
\(177\) | −1.94655 | + | 1.25097i | −0.146312 | + | 0.0940289i | ||||
\(178\) | −21.7083 | − | 6.37414i | −1.62711 | − | 0.477762i | ||||
\(179\) | 13.9802 | − | 16.1340i | 1.04493 | − | 1.20591i | 0.0668280 | − | 0.997765i | \(-0.478712\pi\) |
0.978098 | − | 0.208144i | \(-0.0667424\pi\) | |||||||
\(180\) | −5.55606 | + | 1.63141i | −0.414124 | + | 0.121598i | ||||
\(181\) | 8.96766 | − | 19.6364i | 0.666561 | − | 1.45957i | −0.209718 | − | 0.977762i | \(-0.567255\pi\) |
0.876279 | − | 0.481804i | \(-0.160018\pi\) | |||||||
\(182\) | −9.08366 | + | 6.65284i | −0.673326 | + | 0.493141i | ||||
\(183\) | − | 13.2339i | − | 0.978278i | ||||||
\(184\) | −8.12417 | − | 15.0088i | −0.598921 | − | 1.10646i | ||||
\(185\) | 10.2998i | 0.757259i | ||||||||
\(186\) | 2.27021 | + | 15.7897i | 0.166460 | + | 1.15775i | ||||
\(187\) | 25.2674 | + | 11.5392i | 1.84773 | + | 0.843832i | ||||
\(188\) | −1.90694 | − | 6.49443i | −0.139078 | − | 0.473655i | ||||
\(189\) | −2.57926 | − | 0.589404i | −0.187614 | − | 0.0428729i | ||||
\(190\) | −15.9107 | − | 4.67182i | −1.15429 | − | 0.338929i | ||||
\(191\) | 8.65476 | + | 13.4671i | 0.626236 | + | 0.974442i | 0.998919 | + | 0.0464837i | \(0.0148016\pi\) |
−0.372683 | + | 0.927959i | \(0.621562\pi\) | |||||||
\(192\) | −10.9618 | + | 5.00610i | −0.791102 | + | 0.361284i | ||||
\(193\) | 8.18201 | + | 9.44254i | 0.588954 | + | 0.679689i | 0.969505 | − | 0.245071i | \(-0.0788113\pi\) |
−0.380551 | + | 0.924760i | \(0.624266\pi\) | |||||||
\(194\) | −0.0695733 | − | 0.0447120i | −0.00499507 | − | 0.00321014i | ||||
\(195\) | −0.424809 | + | 2.95461i | −0.0304212 | + | 0.211584i | ||||
\(196\) | 18.2556 | + | 16.4997i | 1.30397 | + | 1.17855i | ||||
\(197\) | −2.66115 | − | 1.71022i | −0.189599 | − | 0.121848i | 0.442398 | − | 0.896819i | \(-0.354128\pi\) |
−0.631997 | + | 0.774971i | \(0.717764\pi\) | |||||||
\(198\) | −7.01433 | + | 6.07795i | −0.498487 | + | 0.431941i | ||||
\(199\) | 2.85596 | + | 6.25368i | 0.202454 | + | 0.443312i | 0.983439 | − | 0.181237i | \(-0.0580101\pi\) |
−0.780986 | + | 0.624549i | \(0.785283\pi\) | |||||||
\(200\) | −6.84514 | + | 4.39910i | −0.484024 | + | 0.311064i | ||||
\(201\) | −1.61967 | − | 0.475577i | −0.114242 | − | 0.0335446i | ||||
\(202\) | 6.03627 | + | 5.23046i | 0.424711 | + | 0.368014i | ||||
\(203\) | 15.9998 | − | 15.6686i | 1.12297 | − | 1.09972i | ||||
\(204\) | −22.4749 | − | 10.2639i | −1.57356 | − | 0.718619i | ||||
\(205\) | 4.73486 | − | 0.680770i | 0.330697 | − | 0.0475471i | ||||
\(206\) | −31.5178 | −2.19595 | ||||||||
\(207\) | −3.37872 | − | 3.40357i | −0.234837 | − | 0.236564i | ||||
\(208\) | − | 2.40409i | − | 0.166694i | ||||||
\(209\) | −16.7680 | + | 2.41088i | −1.15987 | + | 0.166764i | ||||
\(210\) | 10.2162 | − | 0.623351i | 0.704985 | − | 0.0430153i | ||||
\(211\) | 12.7078 | − | 3.73135i | 0.874841 | − | 0.256877i | 0.186668 | − | 0.982423i | \(-0.440231\pi\) |
0.688173 | + | 0.725546i | \(0.258413\pi\) | |||||||
\(212\) | 31.3073 | + | 27.1279i | 2.15020 | + | 1.86315i | ||||
\(213\) | −1.92819 | + | 6.56680i | −0.132117 | + | 0.449950i | ||||
\(214\) | 4.98304 | + | 7.75376i | 0.340634 | + | 0.530036i | ||||
\(215\) | −14.5964 | + | 6.66593i | −0.995464 | + | 0.454613i | ||||
\(216\) | 2.68942 | − | 2.33039i | 0.182992 | − | 0.158563i | ||||
\(217\) | 1.46948 | − | 17.9112i | 0.0997548 | − | 1.21589i | ||||
\(218\) | 8.15692 | + | 1.17279i | 0.552456 | + | 0.0794312i | ||||
\(219\) | −0.339623 | + | 2.36213i | −0.0229496 | + | 0.159618i | ||||
\(220\) | 12.3725 | − | 19.2520i | 0.834155 | − | 1.29797i | ||||
\(221\) | −9.62562 | + | 8.34065i | −0.647489 | + | 0.561053i | ||||
\(222\) | −6.10005 | − | 13.3572i | −0.409409 | − | 0.896480i | ||||
\(223\) | −0.257625 | − | 0.400872i | −0.0172519 | − | 0.0268444i | 0.832521 | − | 0.553994i | \(-0.186897\pi\) |
−0.849772 | + | 0.527150i | \(0.823261\pi\) | |||||||
\(224\) | 10.3681 | − | 2.14211i | 0.692746 | − | 0.143126i | ||||
\(225\) | −1.49735 | + | 1.72804i | −0.0998234 | + | 0.115202i | ||||
\(226\) | −8.98378 | − | 30.5960i | −0.597592 | − | 2.03521i | ||||
\(227\) | −7.58483 | + | 16.6085i | −0.503423 | + | 1.10234i | 0.471919 | + | 0.881642i | \(0.343562\pi\) |
−0.975342 | + | 0.220701i | \(0.929166\pi\) | |||||||
\(228\) | 14.9149 | − | 2.14443i | 0.987761 | − | 0.142019i | ||||
\(229\) | −15.4782 | −1.02283 | −0.511415 | − | 0.859334i | \(-0.670878\pi\) | ||||
−0.511415 | + | 0.859334i | \(0.670878\pi\) | |||||||
\(230\) | 16.2508 | + | 8.95106i | 1.07155 | + | 0.590215i | ||||
\(231\) | 9.22909 | − | 4.91486i | 0.607229 | − | 0.323374i | ||||
\(232\) | 4.28663 | + | 29.8142i | 0.281431 | + | 1.95740i | ||||
\(233\) | 0.908651 | − | 1.98967i | 0.0595277 | − | 0.130348i | −0.877530 | − | 0.479521i | \(-0.840810\pi\) |
0.937058 | + | 0.349174i | \(0.113538\pi\) | |||||||
\(234\) | −1.19895 | − | 4.08326i | −0.0783779 | − | 0.266931i | ||||
\(235\) | 2.39706 | + | 2.07706i | 0.156367 | + | 0.135493i | ||||
\(236\) | −2.29159 | + | 7.80445i | −0.149170 | + | 0.508027i | ||||
\(237\) | −8.52661 | + | 5.47972i | −0.553863 | + | 0.355946i | ||||
\(238\) | 34.6856 | + | 26.5359i | 2.24833 | + | 1.72007i | ||||
\(239\) | 15.1386 | + | 17.4709i | 0.979235 | + | 1.13010i | 0.991491 | + | 0.130173i | \(0.0415532\pi\) |
−0.0122562 | + | 0.999925i | \(0.503901\pi\) | |||||||
\(240\) | −1.18152 | + | 1.83849i | −0.0762671 | + | 0.118674i | ||||
\(241\) | 2.00350 | − | 13.9347i | 0.129057 | − | 0.897610i | −0.817696 | − | 0.575650i | \(-0.804749\pi\) |
0.946753 | − | 0.321960i | \(-0.104342\pi\) | |||||||
\(242\) | 1.54371 | − | 10.7368i | 0.0992336 | − | 0.690185i | ||||
\(243\) | 0.540641 | − | 0.841254i | 0.0346821 | − | 0.0539664i | ||||
\(244\) | −30.4648 | − | 35.1582i | −1.95031 | − | 2.25077i | ||||
\(245\) | −11.3767 | − | 1.87939i | −0.726828 | − | 0.120070i | ||||
\(246\) | −5.73718 | + | 3.68706i | −0.365789 | + | 0.235078i | ||||
\(247\) | 2.18836 | − | 7.45287i | 0.139242 | − | 0.474215i | ||||
\(248\) | 18.2680 | + | 15.8293i | 1.16002 | + | 1.00516i | ||||
\(249\) | 2.25688 | + | 7.68623i | 0.143024 | + | 0.487095i | ||||
\(250\) | 11.7098 | − | 25.6409i | 0.740594 | − | 1.62167i | ||||
\(251\) | −3.38211 | − | 23.5231i | −0.213477 | − | 1.48476i | −0.761427 | − | 0.648251i | \(-0.775501\pi\) |
0.547950 | − | 0.836511i | \(-0.315408\pi\) | |||||||
\(252\) | −8.20910 | + | 4.37167i | −0.517125 | + | 0.275390i | ||||
\(253\) | 18.9001 | + | 1.42138i | 1.18824 | + | 0.0893615i | ||||
\(254\) | 19.1361 | 1.20071 | ||||||||
\(255\) | 11.4602 | − | 1.64772i | 0.717663 | − | 0.103184i | ||||
\(256\) | −9.79022 | + | 21.4376i | −0.611888 | + | 1.33985i | ||||
\(257\) | 4.42124 | + | 15.0574i | 0.275789 | + | 0.939253i | 0.974601 | + | 0.223947i | \(0.0718943\pi\) |
−0.698812 | + | 0.715306i | \(0.746288\pi\) | |||||||
\(258\) | 14.9813 | − | 17.2893i | 0.932693 | − | 1.07639i | ||||
\(259\) | 3.34721 | + | 16.2009i | 0.207986 | + | 1.00668i | ||||
\(260\) | 5.67302 | + | 8.82739i | 0.351826 | + | 0.547451i | ||||
\(261\) | 3.51615 | + | 7.69930i | 0.217644 | + | 0.476575i | ||||
\(262\) | −27.1638 | + | 23.5376i | −1.67819 | + | 1.45416i | ||||
\(263\) | −13.3231 | + | 20.7312i | −0.821541 | + | 1.27834i | 0.136192 | + | 0.990682i | \(0.456514\pi\) |
−0.957733 | + | 0.287660i | \(0.907123\pi\) | |||||||
\(264\) | −2.00150 | + | 13.9207i | −0.123184 | + | 0.856761i | ||||
\(265\) | −19.2144 | − | 2.76261i | −1.18033 | − | 0.169706i | ||||
\(266\) | −26.5447 | − | 2.17780i | −1.62756 | − | 0.133529i | ||||
\(267\) | −7.28078 | + | 6.30883i | −0.445577 | + | 0.386094i | ||||
\(268\) | −5.39773 | + | 2.46506i | −0.329719 | + | 0.150577i | ||||
\(269\) | 7.50911 | + | 11.6844i | 0.457838 | + | 0.712410i | 0.991038 | − | 0.133579i | \(-0.0426470\pi\) |
−0.533200 | + | 0.845989i | \(0.679011\pi\) | |||||||
\(270\) | −1.08990 | + | 3.71184i | −0.0663289 | + | 0.225895i | ||||
\(271\) | −1.83256 | − | 1.58793i | −0.111320 | − | 0.0964596i | 0.597422 | − | 0.801927i | \(-0.296192\pi\) |
−0.708742 | + | 0.705467i | \(0.750737\pi\) | |||||||
\(272\) | −8.94710 | + | 2.62711i | −0.542498 | + | 0.159292i | ||||
\(273\) | 0.291988 | + | 4.78545i | 0.0176719 | + | 0.289629i | ||||
\(274\) | −5.03110 | + | 0.723364i | −0.303940 | + | 0.0437000i | ||||
\(275\) | − | 9.03648i | − | 0.544920i | ||||||
\(276\) | −16.8113 | − | 1.26429i | −1.01192 | − | 0.0761015i | ||||
\(277\) | −16.7587 | −1.00693 | −0.503465 | − | 0.864016i | \(-0.667942\pi\) | ||||
−0.503465 | + | 0.864016i | \(0.667942\pi\) | |||||||
\(278\) | −40.9390 | + | 5.88614i | −2.45536 | + | 0.353027i | ||||
\(279\) | 6.17870 | + | 2.82172i | 0.369909 | + | 0.168932i | ||||
\(280\) | 11.0809 | − | 10.8514i | 0.662208 | − | 0.648498i | ||||
\(281\) | −8.33373 | − | 7.22122i | −0.497149 | − | 0.430782i | 0.369850 | − | 0.929091i | \(-0.379409\pi\) |
−0.866999 | + | 0.498309i | \(0.833954\pi\) | |||||||
\(282\) | −4.33874 | − | 1.27397i | −0.258368 | − | 0.0758637i | ||||
\(283\) | −18.3094 | + | 11.7668i | −1.08838 | + | 0.699461i | −0.956479 | − | 0.291802i | \(-0.905745\pi\) |
−0.131904 | + | 0.991263i | \(0.542109\pi\) | |||||||
\(284\) | 9.99437 | + | 21.8846i | 0.593057 | + | 1.29861i | ||||
\(285\) | −5.33633 | + | 4.62395i | −0.316097 | + | 0.273899i | ||||
\(286\) | 14.1487 | + | 9.09281i | 0.836629 | + | 0.537669i | ||||
\(287\) | 7.22636 | − | 2.60953i | 0.426559 | − | 0.154035i | ||||
\(288\) | −0.569477 | + | 3.96080i | −0.0335567 | + | 0.233392i | ||||
\(289\) | 27.2579 | + | 17.5176i | 1.60341 | + | 1.03045i | ||||
\(290\) | −21.4428 | − | 24.7463i | −1.25917 | − | 1.45316i | ||||
\(291\) | −0.0320329 | + | 0.0146290i | −0.00187780 | + | 0.000857565i | ||||
\(292\) | 4.53542 | + | 7.05724i | 0.265415 | + | 0.412994i | ||||
\(293\) | 17.9834 | + | 5.28040i | 1.05060 | + | 0.308484i | 0.761060 | − | 0.648681i | \(-0.224679\pi\) |
0.289541 | + | 0.957166i | \(0.406497\pi\) | |||||||
\(294\) | 15.8668 | − | 4.30052i | 0.925370 | − | 0.250812i | ||||
\(295\) | −1.07384 | − | 3.65716i | −0.0625214 | − | 0.212928i | ||||
\(296\) | −20.2401 | − | 9.24336i | −1.17643 | − | 0.537259i | ||||
\(297\) | 0.562438 | + | 3.91184i | 0.0326359 | + | 0.226988i | ||||
\(298\) | 13.2305i | 0.766421i | ||||||||
\(299\) | −4.19283 | + | 7.61215i | −0.242478 | + | 0.440222i | ||||
\(300\) | 8.03778i | 0.464062i | ||||||||
\(301\) | −20.7927 | + | 15.2285i | −1.19847 | + | 0.877757i | ||||
\(302\) | 3.11749 | − | 6.82635i | 0.179391 | − | 0.392812i | ||||
\(303\) | 3.26324 | − | 0.958173i | 0.187468 | − | 0.0550456i | ||||
\(304\) | 3.72409 | − | 4.29783i | 0.213591 | − | 0.246498i | ||||
\(305\) | 20.9167 | + | 6.14169i | 1.19769 | + | 0.351672i | ||||
\(306\) | −13.8861 | + | 8.92408i | −0.793817 | + | 0.510155i | ||||
\(307\) | 24.1489 | − | 11.0284i | 1.37825 | − | 0.629426i | 0.417970 | − | 0.908461i | \(-0.362742\pi\) |
0.960281 | + | 0.279034i | \(0.0900143\pi\) | |||||||
\(308\) | 13.2046 | − | 34.3028i | 0.752402 | − | 1.95458i | ||||
\(309\) | −7.25572 | + | 11.2901i | −0.412763 | + | 0.642272i | ||||
\(310\) | −26.0097 | − | 3.73964i | −1.47725 | − | 0.212397i | ||||
\(311\) | 1.28891 | + | 0.185318i | 0.0730876 | + | 0.0105084i | 0.178762 | − | 0.983892i | \(-0.442791\pi\) |
−0.105674 | + | 0.994401i | \(0.533700\pi\) | |||||||
\(312\) | −5.42485 | − | 3.48634i | −0.307122 | − | 0.197375i | ||||
\(313\) | 11.6262 | + | 13.4174i | 0.657154 | + | 0.758396i | 0.982310 | − | 0.187264i | \(-0.0599621\pi\) |
−0.325156 | + | 0.945661i | \(0.605417\pi\) | |||||||
\(314\) | 0.676896 | + | 1.48220i | 0.0381995 | + | 0.0836452i | ||||
\(315\) | 2.12858 | − | 3.80309i | 0.119932 | − | 0.214280i | ||||
\(316\) | −10.0380 | + | 34.1863i | −0.564682 | + | 1.92313i | ||||
\(317\) | 10.0410 | − | 11.5879i | 0.563957 | − | 0.650841i | −0.400121 | − | 0.916462i | \(-0.631032\pi\) |
0.964077 | + | 0.265622i | \(0.0855773\pi\) | |||||||
\(318\) | 26.5542 | − | 7.79701i | 1.48908 | − | 0.437234i | ||||
\(319\) | −30.4282 | − | 13.8961i | −1.70365 | − | 0.778031i | ||||
\(320\) | −2.82508 | − | 19.6489i | −0.157927 | − | 1.09841i | ||||
\(321\) | 3.92465 | 0.219053 | ||||||||
\(322\) | 28.4702 | + | 8.79822i | 1.58658 | + | 0.490306i | ||||
\(323\) | −30.1281 | −1.67637 | ||||||||
\(324\) | −0.500278 | − | 3.47951i | −0.0277932 | − | 0.193306i | ||||
\(325\) | 3.76896 | + | 1.72122i | 0.209064 | + | 0.0954764i | ||||
\(326\) | −5.96700 | + | 1.75207i | −0.330481 | + | 0.0970381i | ||||
\(327\) | 2.29791 | − | 2.65193i | 0.127075 | − | 0.146652i | ||||
\(328\) | −2.91142 | + | 9.91538i | −0.160756 | + | 0.547485i | ||||
\(329\) | 4.44540 | + | 2.48808i | 0.245083 | + | 0.137172i | ||||
\(330\) | −6.35118 | − | 13.9071i | −0.349621 | − | 0.765563i | ||||
\(331\) | −9.66786 | − | 11.1573i | −0.531394 | − | 0.613261i | 0.425053 | − | 0.905169i | \(-0.360256\pi\) |
−0.956447 | + | 0.291907i | \(0.905710\pi\) | |||||||
\(332\) | 23.6897 | + | 15.2245i | 1.30014 | + | 0.835550i | ||||
\(333\) | −6.18905 | − | 0.889851i | −0.339158 | − | 0.0487635i | ||||
\(334\) | −20.2590 | − | 2.91281i | −1.10852 | − | 0.159382i | ||||
\(335\) | 1.50334 | − | 2.33924i | 0.0821360 | − | 0.127806i | ||||
\(336\) | −1.26099 | + | 3.27578i | −0.0687924 | + | 0.178708i | ||||
\(337\) | −16.0486 | + | 7.32916i | −0.874224 | + | 0.399245i | −0.801420 | − | 0.598102i | \(-0.795922\pi\) |
−0.0728037 | + | 0.997346i | \(0.523195\pi\) | |||||||
\(338\) | 19.1961 | − | 12.3366i | 1.04413 | − | 0.671022i | ||||
\(339\) | −13.0281 | − | 3.82538i | −0.707587 | − | 0.207766i | ||||
\(340\) | 26.6529 | − | 30.7590i | 1.44545 | − | 1.66814i | ||||
\(341\) | −25.7571 | + | 7.56298i | −1.39483 | + | 0.409558i | ||||
\(342\) | 4.18184 | − | 9.15695i | 0.226128 | − | 0.495151i | ||||
\(343\) | −18.5054 | + | 0.741007i | −0.999199 | + | 0.0400106i | ||||
\(344\) | − | 34.6654i | − | 1.86903i | ||||||
\(345\) | 6.94749 | − | 3.76064i | 0.374040 | − | 0.202466i | ||||
\(346\) | − | 34.6751i | − | 1.86414i | ||||||
\(347\) | −3.22460 | − | 22.4276i | −0.173106 | − | 1.20398i | −0.872273 | − | 0.489019i | \(-0.837355\pi\) |
0.699167 | − | 0.714958i | \(-0.253554\pi\) | |||||||
\(348\) | 27.0653 | + | 12.3603i | 1.45085 | + | 0.662582i | ||||
\(349\) | −5.59080 | − | 19.0405i | −0.299269 | − | 1.01922i | −0.962608 | − | 0.270897i | \(-0.912680\pi\) |
0.663340 | − | 0.748318i | \(-0.269138\pi\) | |||||||
\(350\) | 3.16499 | − | 13.8502i | 0.169176 | − | 0.740322i | ||||
\(351\) | −1.73869 | − | 0.510526i | −0.0928044 | − | 0.0272498i | ||||
\(352\) | −8.54986 | − | 13.3038i | −0.455709 | − | 0.709097i | ||||
\(353\) | −15.6824 | + | 7.16193i | −0.834692 | + | 0.381191i | −0.786457 | − | 0.617645i | \(-0.788087\pi\) |
−0.0482347 | + | 0.998836i | \(0.515360\pi\) | |||||||
\(354\) | 3.55854 | + | 4.10678i | 0.189135 | + | 0.218273i | ||||
\(355\) | −9.48423 | − | 6.09515i | −0.503371 | − | 0.323497i | ||||
\(356\) | −4.81961 | + | 33.5211i | −0.255439 | + | 1.77662i | ||||
\(357\) | 17.4905 | − | 6.31604i | 0.925697 | − | 0.334280i | ||||
\(358\) | −42.1769 | − | 27.1054i | −2.22912 | − | 1.43257i | ||||
\(359\) | −2.34077 | + | 2.02828i | −0.123541 | + | 0.107049i | −0.714440 | − | 0.699697i | \(-0.753319\pi\) |
0.590899 | + | 0.806745i | \(0.298773\pi\) | |||||||
\(360\) | 2.43515 | + | 5.33224i | 0.128344 | + | 0.281034i | ||||
\(361\) | −0.526680 | + | 0.338477i | −0.0277200 | + | 0.0178146i | ||||
\(362\) | −48.6433 | − | 14.2830i | −2.55664 | − | 0.750696i | ||||
\(363\) | −3.49068 | − | 3.02469i | −0.183213 | − | 0.158755i | ||||
\(364\) | 11.7919 | + | 12.0412i | 0.618066 | + | 0.631133i | ||||
\(365\) | −3.57582 | − | 1.63302i | −0.187167 | − | 0.0854764i | ||||
\(366\) | −30.7630 | + | 4.42305i | −1.60801 | + | 0.231197i | ||||
\(367\) | 23.8986 | 1.24750 | 0.623749 | − | 0.781624i | \(-0.285609\pi\) | ||||
0.623749 | + | 0.781624i | \(0.285609\pi\) | |||||||
\(368\) | −5.10746 | + | 3.79427i | −0.266245 | + | 0.197790i | ||||
\(369\) | 2.90394i | 0.151173i | ||||||||
\(370\) | 23.9426 | − | 3.44243i | 1.24472 | − | 0.178963i | ||||
\(371\) | −31.1206 | + | 1.89885i | −1.61570 | + | 0.0985836i | ||||
\(372\) | 22.9105 | − | 6.72713i | 1.18785 | − | 0.348786i | ||||
\(373\) | −0.719100 | − | 0.623103i | −0.0372336 | − | 0.0322631i | 0.636045 | − | 0.771652i | \(-0.280569\pi\) |
−0.673279 | + | 0.739389i | \(0.735115\pi\) | |||||||
\(374\) | 18.3787 | − | 62.5922i | 0.950342 | − | 3.23657i | ||||
\(375\) | −6.48922 | − | 10.0974i | −0.335102 | − | 0.521428i | ||||
\(376\) | −6.23281 | + | 2.84643i | −0.321433 | + | 0.146793i | ||||
\(377\) | 11.5916 | − | 10.0442i | 0.596999 | − | 0.517302i | ||||
\(378\) | −0.508062 | + | 6.19265i | −0.0261319 | + | 0.318516i | ||||
\(379\) | −3.94434 | − | 0.567111i | −0.202607 | − | 0.0291305i | 0.0402639 | − | 0.999189i | \(-0.487180\pi\) |
−0.242871 | + | 0.970059i | \(0.578089\pi\) | |||||||
\(380\) | −3.53245 | + | 24.5687i | −0.181211 | + | 1.26035i | ||||
\(381\) | 4.40533 | − | 6.85483i | 0.225692 | − | 0.351184i | ||||
\(382\) | 28.4124 | − | 24.6195i | 1.45371 | − | 1.25964i | ||||
\(383\) | 9.46634 | + | 20.7284i | 0.483707 | + | 1.05917i | 0.981427 | + | 0.191834i | \(0.0614434\pi\) |
−0.497720 | + | 0.867338i | \(0.665829\pi\) | |||||||
\(384\) | 10.9739 | + | 17.0757i | 0.560009 | + | 0.871391i | ||||
\(385\) | 3.48501 | + | 16.8679i | 0.177613 | + | 0.859665i | ||||
\(386\) | 19.2152 | − | 22.1755i | 0.978026 | − | 1.12870i | ||||
\(387\) | −2.74443 | − | 9.34668i | −0.139507 | − | 0.475118i | ||||
\(388\) | −0.0514251 | + | 0.112605i | −0.00261071 | + | 0.00571666i | ||||
\(389\) | −6.34012 | + | 0.911571i | −0.321457 | + | 0.0462185i | −0.301154 | − | 0.953575i | \(-0.597372\pi\) |
−0.0203023 | + | 0.999794i | \(0.506463\pi\) | |||||||
\(390\) | 7.01016 | 0.354973 | ||||||||
\(391\) | 32.9113 | + | 7.28580i | 1.66439 | + | 0.368459i | ||||
\(392\) | 13.9029 | − | 20.6696i | 0.702203 | − | 1.04397i | ||||
\(393\) | 2.17811 | + | 15.1491i | 0.109871 | + | 0.764170i | ||||
\(394\) | −3.08609 | + | 6.75760i | −0.155475 | + | 0.340443i | ||||
\(395\) | −4.70381 | − | 16.0197i | −0.236674 | − | 0.806039i | ||||
\(396\) | 10.4994 | + | 9.09776i | 0.527614 | + | 0.457180i | ||||
\(397\) | −0.794097 | + | 2.70445i | −0.0398546 | + | 0.135732i | −0.977017 | − | 0.213161i | \(-0.931624\pi\) |
0.937163 | + | 0.348893i | \(0.113442\pi\) | |||||||
\(398\) | 13.5826 | − | 8.72898i | 0.680832 | − | 0.437544i | ||||
\(399\) | −6.89098 | + | 9.00733i | −0.344980 | + | 0.450931i | ||||
\(400\) | 1.98653 | + | 2.29257i | 0.0993263 | + | 0.114629i | ||||
\(401\) | −2.36132 | + | 3.67428i | −0.117919 | + | 0.183485i | −0.895195 | − | 0.445674i | \(-0.852964\pi\) |
0.777277 | + | 0.629159i | \(0.216600\pi\) | |||||||
\(402\) | −0.564181 | + | 3.92396i | −0.0281388 | + | 0.195709i | ||||
\(403\) | 1.75171 | − | 12.1834i | 0.0872589 | − | 0.606899i | ||||
\(404\) | 6.46364 | − | 10.0576i | 0.321578 | − | 0.500385i | ||||
\(405\) | 1.07873 | + | 1.24492i | 0.0536025 | + | 0.0618606i | ||||
\(406\) | −41.7700 | − | 31.9558i | −2.07301 | − | 1.58594i | ||||
\(407\) | 20.7883 | − | 13.3598i | 1.03044 | − | 0.662221i | ||||
\(408\) | −7.04673 | + | 23.9990i | −0.348865 | + | 1.18813i | ||||
\(409\) | 9.11834 | + | 7.90108i | 0.450873 | + | 0.390683i | 0.850484 | − | 0.526001i | \(-0.176309\pi\) |
−0.399611 | + | 0.916685i | \(0.630855\pi\) | |||||||
\(410\) | −3.16499 | − | 10.7790i | −0.156307 | − | 0.532334i | ||||
\(411\) | −0.899093 | + | 1.96874i | −0.0443490 | + | 0.0971107i | ||||
\(412\) | 6.71403 | + | 46.6971i | 0.330776 | + | 2.30060i | ||||
\(413\) | −2.87757 | − | 5.40348i | −0.141596 | − | 0.265888i | ||||
\(414\) | −6.78256 | + | 8.99158i | −0.333345 | + | 0.441912i | ||||
\(415\) | −13.1958 | −0.647755 | ||||||||
\(416\) | 7.17734 | − | 1.03195i | 0.351898 | − | 0.0505953i | ||||
\(417\) | −7.31607 | + | 16.0200i | −0.358270 | + | 0.784501i | ||||
\(418\) | 11.2085 | + | 38.1726i | 0.548225 | + | 1.86708i | ||||
\(419\) | −3.47779 | + | 4.01358i | −0.169901 | + | 0.196076i | −0.834314 | − | 0.551289i | \(-0.814136\pi\) |
0.664413 | + | 0.747366i | \(0.268682\pi\) | |||||||
\(420\) | −3.09985 | − | 15.0037i | −0.151257 | − | 0.732103i | ||||
\(421\) | 11.4420 | + | 17.8041i | 0.557648 | + | 0.867717i | 0.999570 | − | 0.0293364i | \(-0.00933942\pi\) |
−0.441922 | + | 0.897054i | \(0.645703\pi\) | |||||||
\(422\) | −12.9210 | − | 28.2930i | −0.628983 | − | 1.37728i | ||||
\(423\) | −1.45518 | + | 1.26092i | −0.0707531 | + | 0.0613079i | ||||
\(424\) | 22.6723 | − | 35.2788i | 1.10107 | − | 1.71329i | ||||
\(425\) | 2.28715 | − | 15.9075i | 0.110943 | − | 0.771627i | ||||
\(426\) | 15.9094 | + | 2.28742i | 0.770812 | + | 0.110826i | ||||
\(427\) | 34.8963 | + | 2.86299i | 1.68875 | + | 0.138550i | ||||
\(428\) | 10.4265 | − | 9.03466i | 0.503986 | − | 0.436707i | ||||
\(429\) | 6.51434 | − | 2.97500i | 0.314515 | − | 0.143634i | ||||
\(430\) | 20.3738 | + | 31.7022i | 0.982512 | + | 1.52882i | ||||
\(431\) | −6.15787 | + | 20.9718i | −0.296614 | + | 1.01017i | 0.667483 | + | 0.744625i | \(0.267372\pi\) |
−0.964097 | + | 0.265550i | \(0.914447\pi\) | |||||||
\(432\) | −1.00265 | − | 0.868799i | −0.0482399 | − | 0.0418001i | ||||
\(433\) | 3.14094 | − | 0.922263i | 0.150944 | − | 0.0443211i | −0.205388 | − | 0.978681i | \(-0.565846\pi\) |
0.356332 | + | 0.934360i | \(0.384027\pi\) | |||||||
\(434\) | −42.1267 | + | 2.57040i | −2.02215 | + | 0.123383i | ||||
\(435\) | −13.8008 | + | 1.98426i | −0.661700 | + | 0.0951381i | ||||
\(436\) | − | 12.3352i | − | 0.590749i | ||||||
\(437\) | −19.2873 | + | 7.11340i | −0.922637 | + | 0.340280i | ||||
\(438\) | 5.60443 | 0.267790 | ||||||||
\(439\) | −30.3753 | + | 4.36731i | −1.44973 | + | 0.208440i | −0.821778 | − | 0.569808i | \(-0.807018\pi\) |
−0.627957 | + | 0.778248i | \(0.716109\pi\) | |||||||
\(440\) | −21.0734 | − | 9.62388i | −1.00463 | − | 0.458801i | ||||
\(441\) | 2.11219 | − | 6.67373i | 0.100580 | − | 0.317797i | ||||
\(442\) | 22.6054 | + | 19.5877i | 1.07523 | + | 0.931693i | ||||
\(443\) | 4.61116 | + | 1.35396i | 0.219083 | + | 0.0643285i | 0.389432 | − | 0.921055i | \(-0.372671\pi\) |
−0.170349 | + | 0.985384i | \(0.554490\pi\) | |||||||
\(444\) | −18.4908 | + | 11.8833i | −0.877534 | + | 0.563957i | ||||
\(445\) | −6.59243 | − | 14.4354i | −0.312511 | − | 0.684304i | ||||
\(446\) | −0.845749 | + | 0.732846i | −0.0400474 | + | 0.0347012i | ||||
\(447\) | 4.73934 | + | 3.04579i | 0.224163 | + | 0.144061i | ||||
\(448\) | −10.8291 | − | 29.9882i | −0.511626 | − | 1.41681i | ||||
\(449\) | −4.27877 | + | 29.7595i | −0.201927 | + | 1.40444i | 0.596629 | + | 0.802517i | \(0.296506\pi\) |
−0.798557 | + | 0.601919i | \(0.794403\pi\) | |||||||
\(450\) | 4.51737 | + | 2.90314i | 0.212951 | + | 0.136855i | ||||
\(451\) | −7.51554 | − | 8.67340i | −0.353893 | − | 0.408414i | ||||
\(452\) | −43.4175 | + | 19.8281i | −2.04219 | + | 0.932636i | ||||
\(453\) | −1.72762 | − | 2.68822i | −0.0811705 | − | 0.126304i | ||||
\(454\) | 41.1424 | + | 12.0805i | 1.93091 | + | 0.566966i | ||||
\(455\) | −7.69910 | − | 1.75937i | −0.360939 | − | 0.0824806i | ||||
\(456\) | −4.29753 | − | 14.6360i | −0.201250 | − | 0.685395i | ||||
\(457\) | 28.4368 | + | 12.9866i | 1.33022 | + | 0.607489i | 0.948496 | − | 0.316789i | \(-0.102605\pi\) |
0.381720 | + | 0.924278i | \(0.375332\pi\) | |||||||
\(458\) | 5.17316 | + | 35.9801i | 0.241726 | + | 1.68124i | ||||
\(459\) | 7.02862i | 0.328068i | ||||||||
\(460\) | 9.80018 | − | 25.9841i | 0.456936 | − | 1.21152i | ||||
\(461\) | 9.40502i | 0.438035i | 0.975721 | + | 0.219018i | \(0.0702852\pi\) | ||||
−0.975721 | + | 0.219018i | \(0.929715\pi\) | |||||||
\(462\) | −14.5094 | − | 19.8109i | −0.675040 | − | 0.921688i | ||||
\(463\) | 9.27784 | − | 20.3156i | 0.431178 | − | 0.944147i | −0.561956 | − | 0.827167i | \(-0.689951\pi\) |
0.993134 | − | 0.116981i | \(-0.0373216\pi\) | |||||||
\(464\) | 10.7745 | − | 3.16368i | 0.500195 | − | 0.146870i | ||||
\(465\) | −7.32730 | + | 8.45615i | −0.339795 | + | 0.392145i | ||||
\(466\) | −4.92880 | − | 1.44723i | −0.228322 | − | 0.0670414i | ||||
\(467\) | 27.3630 | − | 17.5851i | 1.26621 | − | 0.813742i | 0.277086 | − | 0.960845i | \(-0.410631\pi\) |
0.989121 | + | 0.147103i | \(0.0469950\pi\) | |||||||
\(468\) | −5.79439 | + | 2.64621i | −0.267846 | + | 0.122321i | ||||
\(469\) | 1.60444 | − | 4.16800i | 0.0740861 | − | 0.192460i | ||||
\(470\) | 4.02711 | − | 6.26631i | 0.185757 | − | 0.289043i | ||||
\(471\) | 0.686772 | + | 0.0987429i | 0.0316448 | + | 0.00454983i | ||||
\(472\) | 8.15036 | + | 1.17184i | 0.375151 | + | 0.0539385i | ||||
\(473\) | 32.3867 | + | 20.8137i | 1.48914 | + | 0.957013i | ||||
\(474\) | 15.5877 | + | 17.9892i | 0.715968 | + | 0.826271i | ||||
\(475\) | 4.07153 | + | 8.91542i | 0.186815 | + | 0.409067i | ||||
\(476\) | 31.9270 | − | 57.0433i | 1.46337 | − | 2.61458i | ||||
\(477\) | 3.32004 | − | 11.3070i | 0.152014 | − | 0.517713i | ||||
\(478\) | 35.5525 | − | 41.0298i | 1.62613 | − | 1.87666i | ||||
\(479\) | 17.0372 | − | 5.00259i | 0.778452 | − | 0.228574i | 0.131715 | − | 0.991288i | \(-0.457952\pi\) |
0.646736 | + | 0.762714i | \(0.276133\pi\) | |||||||
\(480\) | −5.99591 | − | 2.73824i | −0.273675 | − | 0.124983i | ||||
\(481\) | 1.61249 | + | 11.2151i | 0.0735233 | + | 0.511366i | ||||
\(482\) | −33.0616 | −1.50591 | ||||||||
\(483\) | 9.70578 | − | 8.17299i | 0.441628 | − | 0.371884i | ||||
\(484\) | −16.2365 | −0.738025 | ||||||||
\(485\) | −0.00825553 | − | 0.0574184i | −0.000374864 | − | 0.00260724i | ||||
\(486\) | −2.13624 | − | 0.975588i | −0.0969018 | − | 0.0442536i | ||||
\(487\) | −6.41083 | + | 1.88239i | −0.290503 | + | 0.0852993i | −0.423737 | − | 0.905785i | \(-0.639282\pi\) |
0.133234 | + | 0.991085i | \(0.457464\pi\) | |||||||
\(488\) | −30.8402 | + | 35.5915i | −1.39607 | + | 1.61115i | ||||
\(489\) | −0.746048 | + | 2.54081i | −0.0337375 | + | 0.114899i | ||||
\(490\) | −0.566442 | + | 27.0739i | −0.0255892 | + | 1.22307i | ||||
\(491\) | 6.33203 | + | 13.8652i | 0.285761 | + | 0.625729i | 0.997015 | − | 0.0772060i | \(-0.0245999\pi\) |
−0.711254 | + | 0.702935i | \(0.751873\pi\) | |||||||
\(492\) | 6.68494 | + | 7.71483i | 0.301380 | + | 0.347811i | ||||
\(493\) | −50.0475 | − | 32.1636i | −2.25403 | − | 1.44858i | ||||
\(494\) | −18.0560 | − | 2.59607i | −0.812380 | − | 0.116803i | ||||
\(495\) | −6.44384 | − | 0.926484i | −0.289629 | − | 0.0416424i | ||||
\(496\) | 4.87204 | − | 7.58104i | 0.218761 | − | 0.340399i | ||||
\(497\) | −16.8988 | − | 6.50506i | −0.758015 | − | 0.291792i | ||||
\(498\) | 17.1128 | − | 7.81516i | 0.766843 | − | 0.350206i | ||||
\(499\) | −15.9719 | + | 10.2645i | −0.715000 | + | 0.459502i | −0.846894 | − | 0.531761i | \(-0.821530\pi\) |
0.131895 | + | 0.991264i | \(0.457894\pi\) | |||||||
\(500\) | −40.4843 | − | 11.8873i | −1.81051 | − | 0.531615i | ||||
\(501\) | −5.70724 | + | 6.58650i | −0.254981 | + | 0.294263i | ||||
\(502\) | −53.5504 | + | 15.7238i | −2.39007 | + | 0.701789i | ||||
\(503\) | −3.06630 | + | 6.71427i | −0.136720 | + | 0.299374i | −0.965591 | − | 0.260065i | \(-0.916256\pi\) |
0.828872 | + | 0.559439i | \(0.188983\pi\) | |||||||
\(504\) | 5.56318 | + | 7.59586i | 0.247804 | + | 0.338346i | ||||
\(505\) | 5.60235i | 0.249301i | ||||||||
\(506\) | −3.01272 | − | 44.4094i | −0.133932 | − | 1.97424i | ||||
\(507\) | − | 9.71632i | − | 0.431517i | ||||||
\(508\) | −4.07645 | − | 28.3523i | −0.180863 | − | 1.25793i | ||||
\(509\) | 11.7172 | + | 5.35106i | 0.519355 | + | 0.237182i | 0.657806 | − | 0.753188i | \(-0.271485\pi\) |
−0.138450 | + | 0.990369i | \(0.544212\pi\) | |||||||
\(510\) | −7.66046 | − | 26.0891i | −0.339211 | − | 1.15525i | ||||
\(511\) | −6.15521 | − | 1.40657i | −0.272290 | − | 0.0622228i | ||||
\(512\) | 14.1536 | + | 4.15589i | 0.625509 | + | 0.183666i | ||||
\(513\) | −2.31745 | − | 3.60602i | −0.102318 | − | 0.159210i | ||||
\(514\) | 33.5241 | − | 15.3099i | 1.47868 | − | 0.675293i | ||||
\(515\) | −14.4772 | − | 16.7076i | −0.637941 | − | 0.736223i | ||||
\(516\) | −28.8074 | − | 18.5134i | −1.26817 | − | 0.815006i | ||||
\(517\) | 1.08296 | − | 7.53215i | 0.0476285 | − | 0.331263i | ||||
\(518\) | 36.5413 | − | 13.1955i | 1.60553 | − | 0.579777i | ||||
\(519\) | −12.4211 | − | 7.98256i | −0.545226 | − | 0.350395i | ||||
\(520\) | 8.02791 | − | 6.95622i | 0.352047 | − | 0.305051i | ||||
\(521\) | −5.08004 | − | 11.1237i | −0.222560 | − | 0.487339i | 0.765107 | − | 0.643903i | \(-0.222686\pi\) |
−0.987668 | + | 0.156563i | \(0.949959\pi\) | |||||||
\(522\) | 16.7223 | − | 10.7468i | 0.731916 | − | 0.470374i | ||||
\(523\) | −7.42252 | − | 2.17945i | −0.324564 | − | 0.0953006i | 0.115392 | − | 0.993320i | \(-0.463188\pi\) |
−0.439956 | + | 0.898019i | \(0.645006\pi\) | |||||||
\(524\) | 40.6601 | + | 35.2322i | 1.77624 | + | 1.53912i | ||||
\(525\) | −4.23271 | − | 4.32219i | −0.184731 | − | 0.188636i | ||||
\(526\) | 52.6439 | + | 24.0417i | 2.29538 | + | 1.04827i | ||||
\(527\) | −47.2562 | + | 6.79441i | −2.05851 | + | 0.295969i | ||||
\(528\) | 5.24318 | 0.228180 | ||||||||
\(529\) | 22.7893 | − | 3.10633i | 0.990838 | − | 0.135058i | ||||
\(530\) | 45.5884i | 1.98023i | ||||||||
\(531\) | 2.29032 | − | 0.329298i | 0.0993914 | − | 0.0142903i | ||||
\(532\) | 2.42799 | + | 39.7928i | 0.105267 | + | 1.72524i | ||||
\(533\) | 5.04905 | − | 1.48253i | 0.218698 | − | 0.0642157i | ||||
\(534\) | 17.0987 | + | 14.8161i | 0.739932 | + | 0.641155i | ||||
\(535\) | −1.82138 | + | 6.20307i | −0.0787453 | + | 0.268182i | ||||
\(536\) | 3.24768 | + | 5.05349i | 0.140278 | + | 0.218277i | ||||
\(537\) | −19.4191 | + | 8.86840i | −0.837996 | + | 0.382700i | ||||
\(538\) | 24.6514 | − | 21.3606i | 1.06280 | − | 0.920919i | ||||
\(539\) | 10.9633 | + | 25.3994i | 0.472225 | + | 1.09403i | ||||
\(540\) | 5.73168 | + | 0.824091i | 0.246652 | + | 0.0354632i | ||||
\(541\) | 0.122704 | − | 0.853423i | 0.00527544 | − | 0.0366915i | −0.987014 | − | 0.160636i | \(-0.948645\pi\) |
0.992289 | + | 0.123945i | \(0.0395545\pi\) | |||||||
\(542\) | −3.07875 | + | 4.79063i | −0.132244 | + | 0.205775i | ||||
\(543\) | −16.3145 | + | 14.1366i | −0.700124 | + | 0.606661i | ||||
\(544\) | −11.6836 | − | 25.5836i | −0.500932 | − | 1.09689i | ||||
\(545\) | 3.12505 | + | 4.86267i | 0.133862 | + | 0.208294i | ||||
\(546\) | 11.0265 | − | 2.27814i | 0.471890 | − | 0.0974956i | ||||
\(547\) | −10.9458 | + | 12.6321i | −0.468007 | + | 0.540109i | −0.939856 | − | 0.341571i | \(-0.889041\pi\) |
0.471849 | + | 0.881679i | \(0.343587\pi\) | |||||||
\(548\) | 2.14349 | + | 7.30004i | 0.0915652 | + | 0.311842i | ||||
\(549\) | −5.49756 | + | 12.0380i | −0.234630 | + | 0.513768i | ||||
\(550\) | −21.0058 | + | 3.02018i | −0.895692 | + | 0.128781i | ||||
\(551\) | 36.2816 | 1.54565 | ||||||||
\(552\) | 1.15513 | + | 17.0274i | 0.0491656 | + | 0.724733i | ||||
\(553\) | −12.6048 | − | 23.6692i | −0.536011 | − | 1.00652i | ||||
\(554\) | 5.60110 | + | 38.9565i | 0.237968 | + | 1.65510i | ||||
\(555\) | 4.27871 | − | 9.36906i | 0.181621 | − | 0.397695i | ||||
\(556\) | 17.4419 | + | 59.4017i | 0.739702 | + | 2.51919i | ||||
\(557\) | 25.0010 | + | 21.6635i | 1.05933 | + | 0.917912i | 0.996784 | − | 0.0801303i | \(-0.0255337\pi\) |
0.0625425 | + | 0.998042i | \(0.480079\pi\) | |||||||
\(558\) | 4.49420 | − | 15.3059i | 0.190255 | − | 0.647948i | ||||
\(559\) | −14.8499 | + | 9.54344i | −0.628083 | + | 0.403644i | ||||
\(560\) | −4.59229 | − | 3.51329i | −0.194060 | − | 0.148463i | ||||
\(561\) | −18.1904 | − | 20.9929i | −0.768001 | − | 0.886321i | ||||
\(562\) | −14.0009 | + | 21.7858i | −0.590591 | + | 0.918977i | ||||
\(563\) | −1.47141 | + | 10.2339i | −0.0620125 | + | 0.431306i | 0.935037 | + | 0.354549i | \(0.115366\pi\) |
−0.997050 | + | 0.0767571i | \(0.975543\pi\) | |||||||
\(564\) | −0.963272 | + | 6.69971i | −0.0405611 | + | 0.282109i | ||||
\(565\) | 12.0923 | − | 18.8160i | 0.508728 | − | 0.791597i | ||||
\(566\) | 33.4720 | + | 38.6287i | 1.40693 | + | 1.62369i | ||||
\(567\) | 2.10133 | + | 1.60761i | 0.0882477 | + | 0.0675131i | ||||
\(568\) | 20.4889 | − | 13.1674i | 0.859697 | − | 0.552493i | ||||
\(569\) | −6.81565 | + | 23.2120i | −0.285727 | + | 0.973096i | 0.684118 | + | 0.729372i | \(0.260188\pi\) |
−0.969844 | + | 0.243725i | \(0.921631\pi\) | |||||||
\(570\) | 12.5322 | + | 10.8592i | 0.524915 | + | 0.454842i | ||||
\(571\) | −5.43095 | − | 18.4961i | −0.227278 | − | 0.774038i | −0.991616 | − | 0.129222i | \(-0.958752\pi\) |
0.764337 | − | 0.644816i | \(-0.223066\pi\) | |||||||
\(572\) | 10.4580 | − | 22.8998i | 0.437271 | − | 0.957489i | ||||
\(573\) | −2.27822 | − | 15.8454i | −0.0951741 | − | 0.661951i | ||||
\(574\) | −8.48121 | − | 15.9260i | −0.353999 | − | 0.664737i | ||||
\(575\) | −2.29166 | − | 10.7236i | −0.0955690 | − | 0.447206i | ||||
\(576\) | 12.0508 | 0.502118 | ||||||||
\(577\) | 32.2858 | − | 4.64200i | 1.34407 | − | 0.193249i | 0.567552 | − | 0.823338i | \(-0.307891\pi\) |
0.776523 | + | 0.630089i | \(0.216982\pi\) | |||||||
\(578\) | 31.6105 | − | 69.2174i | 1.31483 | − | 2.87907i | ||||
\(579\) | −3.52004 | − | 11.9882i | −0.146288 | − | 0.498211i | ||||
\(580\) | −32.0966 | + | 37.0415i | −1.33274 | + | 1.53806i | ||||
\(581\) | −20.7560 | + | 4.28833i | −0.861104 | + | 0.177910i | ||||
\(582\) | 0.0447120 | + | 0.0695733i | 0.00185337 | + | 0.00288390i | ||||
\(583\) | 19.3470 | + | 42.3640i | 0.801270 | + | 1.75454i | ||||
\(584\) | 6.41808 | − | 5.56130i | 0.265582 | − | 0.230128i | ||||
\(585\) | 1.61381 | − | 2.51114i | 0.0667229 | − | 0.103823i | ||||
\(586\) | 6.26418 | − | 43.5684i | 0.258771 | − | 1.79979i | ||||
\(587\) | −31.1145 | − | 4.47358i | −1.28423 | − | 0.184645i | −0.533810 | − | 0.845605i | \(-0.679240\pi\) |
−0.750421 | + | 0.660960i | \(0.770149\pi\) | |||||||
\(588\) | −9.75170 | − | 22.5923i | −0.402153 | − | 0.931690i | ||||
\(589\) | 22.0044 | − | 19.0670i | 0.906678 | − | 0.785641i | ||||
\(590\) | −8.14240 | + | 3.71851i | −0.335217 | + | 0.153089i | ||||
\(591\) | 1.71022 | + | 2.66115i | 0.0703490 | + | 0.109465i | ||||
\(592\) | −2.33709 | + | 7.95938i | −0.0960536 | + | 0.327129i | ||||
\(593\) | 25.4300 | + | 22.0352i | 1.04428 | + | 0.904878i | 0.995578 | − | 0.0939350i | \(-0.0299446\pi\) |
0.0487067 | + | 0.998813i | \(0.484490\pi\) | |||||||
\(594\) | 8.90534 | − | 2.61484i | 0.365390 | − | 0.107288i | ||||
\(595\) | 1.86560 | + | 30.5756i | 0.0764821 | + | 1.25348i | ||||
\(596\) | 19.6024 | − | 2.81840i | 0.802946 | − | 0.115446i | ||||
\(597\) | − | 6.87496i | − | 0.281373i | ||||||
\(598\) | 19.0963 | + | 7.20234i | 0.780904 | + | 0.294526i | ||||
\(599\) | 21.9070 | 0.895097 | 0.447548 | − | 0.894260i | \(-0.352297\pi\) | ||||
0.447548 | + | 0.894260i | \(0.352297\pi\) | |||||||
\(600\) | 8.05401 | − | 1.15799i | 0.328804 | − | 0.0472748i | ||||
\(601\) | −16.4726 | − | 7.52280i | −0.671933 | − | 0.306861i | 0.0500758 | − | 0.998745i | \(-0.484054\pi\) |
−0.722009 | + | 0.691884i | \(0.756781\pi\) | |||||||
\(602\) | 42.3490 | + | 43.2443i | 1.72602 | + | 1.76251i | ||||
\(603\) | 1.27574 | + | 1.10543i | 0.0519521 | + | 0.0450167i | ||||
\(604\) | −10.7781 | − | 3.16473i | −0.438554 | − | 0.128771i | ||||
\(605\) | 6.40063 | − | 4.11343i | 0.260222 | − | 0.167235i | ||||
\(606\) | −3.31798 | − | 7.26535i | −0.134784 | − | 0.295135i | ||||
\(607\) | 23.1473 | − | 20.0572i | 0.939520 | − | 0.814098i | −0.0432251 | − | 0.999065i | \(-0.513763\pi\) |
0.982745 | + | 0.184967i | \(0.0592178\pi\) | |||||||
\(608\) | 14.4296 | + | 9.27333i | 0.585197 | + | 0.376083i | ||||
\(609\) | −21.0629 | + | 7.60607i | −0.853512 | + | 0.308213i | ||||
\(610\) | 7.28594 | − | 50.6748i | 0.294999 | − | 2.05176i | ||||
\(611\) | 2.93525 | + | 1.88637i | 0.118747 | + | 0.0763144i | ||||
\(612\) | 16.1801 | + | 18.6728i | 0.654041 | + | 0.754803i | ||||
\(613\) | 22.0043 | − | 10.0490i | 0.888744 | − | 0.405876i | 0.0818999 | − | 0.996641i | \(-0.473901\pi\) |
0.806844 | + | 0.590765i | \(0.201174\pi\) | |||||||
\(614\) | −33.7074 | − | 52.4497i | −1.36032 | − | 2.11670i | ||||
\(615\) | −4.58978 | − | 1.34768i | −0.185078 | − | 0.0543438i | ||||
\(616\) | −36.2744 | − | 8.28931i | −1.46154 | − | 0.333986i | ||||
\(617\) | −8.31164 | − | 28.3069i | −0.334614 | − | 1.13959i | −0.939291 | − | 0.343120i | \(-0.888516\pi\) |
0.604677 | − | 0.796471i | \(-0.293302\pi\) | |||||||
\(618\) | 28.6696 | + | 13.0930i | 1.15326 | + | 0.526676i | ||||
\(619\) | 1.49472 | + | 10.3960i | 0.0600778 | + | 0.417850i | 0.997560 | + | 0.0698167i | \(0.0222414\pi\) |
−0.937482 | + | 0.348034i | \(0.886849\pi\) | |||||||
\(620\) | 39.3329i | 1.57965i | ||||||||
\(621\) | 1.65950 | + | 4.49956i | 0.0665933 | + | 0.180561i | ||||
\(622\) | − | 3.05810i | − | 0.122618i | ||||||
\(623\) | −15.0606 | − | 20.5635i | −0.603390 | − | 0.823858i | ||||
\(624\) | −0.998696 | + | 2.18684i | −0.0399798 | + | 0.0875436i | ||||
\(625\) | 8.00144 | − | 2.34943i | 0.320058 | − | 0.0939774i | ||||
\(626\) | 27.3038 | − | 31.5103i | 1.09128 | − | 1.25940i | ||||
\(627\) | 16.2543 | + | 4.77268i | 0.649133 | + | 0.190603i | ||||
\(628\) | 2.05184 | − | 1.31864i | 0.0818774 | − | 0.0526194i | ||||
\(629\) | 39.9763 | − | 18.2566i | 1.59396 | − | 0.727937i | ||||
\(630\) | −9.55194 | − | 3.67695i | −0.380558 | − | 0.146493i | ||||
\(631\) | −13.2536 | + | 20.6230i | −0.527618 | + | 0.820989i | −0.998112 | − | 0.0614137i | \(-0.980439\pi\) |
0.470495 | + | 0.882403i | \(0.344075\pi\) | |||||||
\(632\) | 35.7015 | + | 5.13311i | 1.42013 | + | 0.204184i | ||||
\(633\) | −13.1095 | − | 1.88486i | −0.521055 | − | 0.0749164i | ||||
\(634\) | −30.2927 | − | 19.4679i | −1.20308 | − | 0.773170i | ||||
\(635\) | 8.78987 | + | 10.1440i | 0.348815 | + | 0.402554i | ||||
\(636\) | −17.2088 | − | 37.6820i | −0.682373 | − | 1.49419i | ||||
\(637\) | −12.6819 | − | 0.265331i | −0.502474 | − | 0.0105128i | ||||
\(638\) | −22.1325 | + | 75.3765i | −0.876235 | + | 2.98418i | ||||
\(639\) | 4.48189 | − | 5.17237i | 0.177301 | − | 0.204616i | ||||
\(640\) | −32.0817 | + | 9.42003i | −1.26814 | + | 0.372359i | ||||
\(641\) | 16.4753 | + | 7.52403i | 0.650736 | + | 0.297181i | 0.713299 | − | 0.700860i | \(-0.247200\pi\) |
−0.0625628 | + | 0.998041i | \(0.519927\pi\) | |||||||
\(642\) | −1.31170 | − | 9.12310i | −0.0517688 | − | 0.360060i | ||||
\(643\) | −36.3106 | −1.43195 | −0.715974 | − | 0.698127i | \(-0.754017\pi\) | ||||
−0.715974 | + | 0.698127i | \(0.754017\pi\) | |||||||
\(644\) | 6.97072 | − | 44.0560i | 0.274685 | − | 1.73605i | ||||
\(645\) | 16.0464 | 0.631828 | ||||||||
\(646\) | 10.0694 | + | 70.0346i | 0.396177 | + | 2.75547i | ||||
\(647\) | 27.3948 | + | 12.5108i | 1.07700 | + | 0.491850i | 0.873300 | − | 0.487183i | \(-0.161975\pi\) |
0.203702 | + | 0.979033i | \(0.434703\pi\) | |||||||
\(648\) | −3.41446 | + | 1.00258i | −0.134133 | + | 0.0393849i | ||||
\(649\) | −5.98842 | + | 6.91101i | −0.235066 | + | 0.271281i | ||||
\(650\) | 2.74143 | − | 9.33644i | 0.107528 | − | 0.366205i | ||||
\(651\) | −8.77725 | + | 15.6821i | −0.344008 | + | 0.614631i | ||||
\(652\) | 3.86699 | + | 8.46753i | 0.151443 | + | 0.331614i | ||||
\(653\) | −9.28543 | − | 10.7160i | −0.363367 | − | 0.419348i | 0.544398 | − | 0.838827i | \(-0.316758\pi\) |
−0.907765 | + | 0.419479i | \(0.862213\pi\) | |||||||
\(654\) | −6.93260 | − | 4.45531i | −0.271086 | − | 0.174216i | ||||
\(655\) | −24.9545 | − | 3.58792i | −0.975054 | − | 0.140192i | ||||
\(656\) | 3.81342 | + | 0.548287i | 0.148889 | + | 0.0214070i | ||||
\(657\) | 1.29020 | − | 2.00758i | 0.0503353 | − | 0.0783233i | ||||
\(658\) | 4.29795 | − | 11.1652i | 0.167552 | − | 0.435264i | ||||
\(659\) | 43.4247 | − | 19.8314i | 1.69158 | − | 0.772521i | 0.692912 | − | 0.721023i | \(-0.256328\pi\) |
0.998673 | − | 0.0514983i | \(-0.0163997\pi\) | |||||||
\(660\) | −19.2520 | + | 12.3725i | −0.749383 | + | 0.481599i | ||||
\(661\) | −39.3234 | − | 11.5464i | −1.52950 | − | 0.449103i | −0.594605 | − | 0.804018i | \(-0.702692\pi\) |
−0.934899 | + | 0.354915i | \(0.884510\pi\) | |||||||
\(662\) | −22.7046 | + | 26.2026i | −0.882441 | + | 1.01839i | ||||
\(663\) | 12.2206 | − | 3.58829i | 0.474609 | − | 0.139358i | ||||
\(664\) | 11.8422 | − | 25.9309i | 0.459568 | − | 1.00631i | ||||
\(665\) | −11.0384 | − | 15.0716i | −0.428051 | − | 0.584454i | ||||
\(666\) | 14.6842i | 0.569002i | ||||||||
\(667\) | −39.6333 | − | 8.77390i | −1.53461 | − | 0.339727i | ||||
\(668\) | 30.6365i | 1.18536i | ||||||||
\(669\) | 0.0678156 | + | 0.471668i | 0.00262190 | + | 0.0182357i | ||||
\(670\) | −5.94015 | − | 2.71277i | −0.229488 | − | 0.104804i | ||||
\(671\) | −14.7350 | − | 50.1827i | −0.568837 | − | 1.93728i | ||||
\(672\) | −10.3210 | − | 2.35852i | −0.398141 | − | 0.0909818i | ||||
\(673\) | −18.1339 | − | 5.32460i | −0.699011 | − | 0.205248i | −0.0871290 | − | 0.996197i | \(-0.527769\pi\) |
−0.611882 | + | 0.790949i | \(0.709587\pi\) | |||||||
\(674\) | 22.4009 | + | 34.8564i | 0.862850 | + | 1.34262i | ||||
\(675\) | 2.07989 | − | 0.949854i | 0.0800550 | − | 0.0365599i | ||||
\(676\) | −22.3672 | − | 25.8132i | −0.860278 | − | 0.992814i | ||||
\(677\) | 6.00431 | + | 3.85874i | 0.230764 | + | 0.148303i | 0.650914 | − | 0.759152i | \(-0.274386\pi\) |
−0.420149 | + | 0.907455i | \(0.638022\pi\) | |||||||
\(678\) | −4.53808 | + | 31.5631i | −0.174284 | + | 1.21217i | ||||
\(679\) | −0.0316450 | − | 0.0876322i | −0.00121443 | − | 0.00336302i | ||||
\(680\) | −34.6610 | − | 22.2753i | −1.32919 | − | 0.854218i | ||||
\(681\) | 13.7988 | − | 11.9567i | 0.528772 | − | 0.458183i | ||||
\(682\) | 26.1892 | + | 57.3464i | 1.00284 | + | 2.19591i | ||||
\(683\) | 5.71395 | − | 3.67213i | 0.218638 | − | 0.140510i | −0.426737 | − | 0.904376i | \(-0.640337\pi\) |
0.645376 | + | 0.763865i | \(0.276701\pi\) | |||||||
\(684\) | −14.4579 | − | 4.24521i | −0.552810 | − | 0.162320i | ||||
\(685\) | −2.69441 | − | 2.33472i | −0.102948 | − | 0.0892050i | ||||
\(686\) | 7.90743 | + | 42.7694i | 0.301907 | + | 1.63294i | ||||
\(687\) | 14.0795 | + | 6.42989i | 0.537166 | + | 0.245315i | ||||
\(688\) | −12.7921 | + | 1.83923i | −0.487695 | + | 0.0701200i | ||||
\(689\) | −21.3544 | −0.813537 | ||||||||
\(690\) | −11.0638 | − | 14.8930i | −0.421193 | − | 0.566966i | ||||
\(691\) | 45.7735i | 1.74131i | 0.491898 | + | 0.870653i | \(0.336303\pi\) | ||||
−0.491898 | + | 0.870653i | \(0.663697\pi\) | |||||||
\(692\) | −51.3750 | + | 7.38661i | −1.95298 | + | 0.280797i | ||||
\(693\) | −10.4368 | + | 0.636809i | −0.396460 | + | 0.0241904i | ||||
\(694\) | −51.0566 | + | 14.9916i | −1.93808 | + | 0.569073i | ||||
\(695\) | −21.9249 | − | 18.9980i | −0.831658 | − | 0.720636i | ||||
\(696\) | 8.48600 | − | 28.9007i | 0.321661 | − | 1.09548i | ||||
\(697\) | −11.0348 | − | 17.1705i | −0.417974 | − | 0.650381i | ||||
\(698\) | −42.3923 | + | 19.3599i | −1.60457 | + | 0.732783i | ||||
\(699\) | −1.65308 | + | 1.43240i | −0.0625251 | + | 0.0541783i | ||||
\(700\) | −21.1948 | − | 1.73887i | −0.801087 | − | 0.0657233i | ||||
\(701\) | −37.9213 | − | 5.45226i | −1.43227 | − | 0.205929i | −0.617890 | − | 0.786265i | \(-0.712012\pi\) |
−0.814377 | + | 0.580336i | \(0.802921\pi\) | |||||||
\(702\) | −0.605641 | + | 4.21232i | −0.0228584 | + | 0.158984i | ||||
\(703\) | −14.4903 | + | 22.5473i | −0.546511 | + | 0.850388i | ||||
\(704\) | −35.9931 | + | 31.1882i | −1.35654 | + | 1.17545i | ||||
\(705\) | −1.31760 | − | 2.88514i | −0.0496236 | − | 0.108661i | ||||
\(706\) | 21.8897 | + | 34.0611i | 0.823832 | + | 1.28191i | ||||
\(707\) | 1.82064 | + | 8.81209i | 0.0684721 | + | 0.331413i | ||||
\(708\) | 5.32659 | − | 6.14722i | 0.200186 | − | 0.231027i | ||||
\(709\) | −13.2536 | − | 45.1375i | −0.497748 | − | 1.69517i | −0.698567 | − | 0.715544i | \(-0.746179\pi\) |
0.200820 | − | 0.979628i | \(-0.435639\pi\) | |||||||
\(710\) | −10.9987 | + | 24.0838i | −0.412774 | + | 0.903849i | ||||
\(711\) | 10.0324 | − | 1.44245i | 0.376246 | − | 0.0540960i | ||||
\(712\) | 34.2832 | 1.28482 | ||||||||
\(713\) | −28.6481 | + | 15.5071i | −1.07288 | + | 0.580744i | ||||
\(714\) | −20.5277 | − | 38.5468i | −0.768231 | − | 1.44258i | ||||
\(715\) | 1.67888 | + | 11.6768i | 0.0627864 | + | 0.436689i | ||||
\(716\) | −31.1750 | + | 68.2638i | −1.16507 | + | 2.55114i | ||||
\(717\) | −6.51289 | − | 22.1809i | −0.243229 | − | 0.828360i | ||||
\(718\) | 5.49721 | + | 4.76336i | 0.205154 | + | 0.177767i | ||||
\(719\) | 10.6905 | − | 36.4084i | 0.398687 | − | 1.35780i | −0.478682 | − | 0.877988i | \(-0.658885\pi\) |
0.877369 | − | 0.479816i | \(-0.159296\pi\) | |||||||
\(720\) | 1.83849 | − | 1.18152i | 0.0685164 | − | 0.0440328i | ||||
\(721\) | −28.2011 | − | 21.5750i | −1.05027 | − | 0.803496i | ||||
\(722\) | 0.962839 | + | 1.11118i | 0.0358331 | + | 0.0413537i | ||||
\(723\) | −7.61112 | + | 11.8431i | −0.283060 | + | 0.440451i | ||||
\(724\) | −10.7996 | + | 75.1131i | −0.401365 | + | 2.79155i | ||||
\(725\) | −2.75430 | + | 19.1565i | −0.102292 | + | 0.711456i | ||||
\(726\) | −5.86442 | + | 9.12522i | −0.217649 | + | 0.338669i | ||||
\(727\) | −14.0352 | − | 16.1974i | −0.520535 | − | 0.600730i | 0.433230 | − | 0.901284i | \(-0.357374\pi\) |
−0.953765 | + | 0.300554i | \(0.902828\pi\) | |||||||
\(728\) | 10.3667 | − | 13.5505i | 0.384216 | − | 0.502216i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | −2.60095 | + | 8.85801i | −0.0962654 | + | 0.327850i | ||||
\(731\) | 51.7444 | + | 44.8368i | 1.91384 | + | 1.65835i | ||||
\(732\) | 13.1065 | + | 44.6366i | 0.484429 | + | 1.64982i | ||||
\(733\) | 19.4617 | − | 42.6151i | 0.718833 | − | 1.57402i | −0.0967001 | − | 0.995314i | \(-0.530829\pi\) |
0.815533 | − | 0.578711i | \(-0.196444\pi\) | |||||||
\(734\) | −7.98744 | − | 55.5539i | −0.294822 | − | 2.05053i | ||||
\(735\) | 9.56785 | + | 6.43559i | 0.352915 | + | 0.237380i | ||||
\(736\) | −13.5200 | − | 13.6195i | −0.498355 | − | 0.502020i | ||||
\(737\) | −6.67126 | −0.245739 | ||||||||
\(738\) | 6.75038 | − | 0.970558i | 0.248485 | − | 0.0357267i | ||||
\(739\) | −17.3972 | + | 38.0945i | −0.639965 | + | 1.40133i | 0.260103 | + | 0.965581i | \(0.416243\pi\) |
−0.900069 | + | 0.435748i | \(0.856484\pi\) | |||||||
\(740\) | −10.2007 | − | 34.7403i | −0.374984 | − | 1.27708i | ||||
\(741\) | −5.08663 | + | 5.87029i | −0.186862 | + | 0.215650i | ||||
\(742\) | 14.8152 | + | 71.7072i | 0.543883 | + | 2.63246i | ||||
\(743\) | 1.38633 | + | 2.15717i | 0.0508594 | + | 0.0791388i | 0.865752 | − | 0.500473i | \(-0.166841\pi\) |
−0.814893 | + | 0.579612i | \(0.803204\pi\) | |||||||
\(744\) | −10.0414 | − | 21.9876i | −0.368136 | − | 0.806104i | ||||
\(745\) | −7.01346 | + | 6.07720i | −0.256953 | + | 0.222651i | ||||
\(746\) | −1.20810 | + | 1.87985i | −0.0442318 | + | 0.0688261i | ||||
\(747\) | 1.14004 | − | 7.92918i | 0.0417120 | − | 0.290114i | ||||
\(748\) | −96.6524 | − | 13.8965i | −3.53396 | − | 0.508107i | ||||
\(749\) | −0.849050 | + | 10.3489i | −0.0310236 | + | 0.378140i | ||||
\(750\) | −21.3032 | + | 18.4594i | −0.777884 | + | 0.674041i | ||||
\(751\) | 13.5852 | − | 6.20413i | 0.495730 | − | 0.226392i | −0.151830 | − | 0.988407i | \(-0.548517\pi\) |
0.647560 | + | 0.762014i | \(0.275790\pi\) | |||||||
\(752\) | 1.38107 | + | 2.14899i | 0.0503626 | + | 0.0783657i | ||||
\(753\) | −6.69536 | + | 22.8023i | −0.243993 | + | 0.830962i | ||||
\(754\) | −27.2225 | − | 23.5884i | −0.991386 | − | 0.859040i | ||||
\(755\) | 5.05061 | − | 1.48299i | 0.183810 | − | 0.0539716i | ||||
\(756\) | 9.28332 | − | 0.566430i | 0.337631 | − | 0.0206009i | ||||
\(757\) | −3.40051 | + | 0.488919i | −0.123593 | + | 0.0177701i | −0.203834 | − | 0.979005i | \(-0.565340\pi\) |
0.0802405 | + | 0.996776i | \(0.474431\pi\) | |||||||
\(758\) | 9.35841i | 0.339913i | ||||||||
\(759\) | −16.6016 | − | 9.14431i | −0.602602 | − | 0.331917i | ||||
\(760\) | 25.1273 | 0.911461 | ||||||||
\(761\) | 27.0239 | − | 3.88545i | 0.979617 | − | 0.140848i | 0.366139 | − | 0.930560i | \(-0.380679\pi\) |
0.613477 | + | 0.789712i | \(0.289770\pi\) | |||||||
\(762\) | −17.4068 | − | 7.94944i | −0.630583 | − | 0.287978i | ||||
\(763\) | 6.49574 | + | 6.63307i | 0.235162 | + | 0.240133i | ||||
\(764\) | −42.5290 | − | 36.8516i | −1.53865 | − | 1.33324i | ||||
\(765\) | −11.1090 | − | 3.26190i | −0.401647 | − | 0.117934i | ||||
\(766\) | 45.0206 | − | 28.9330i | 1.62666 | − | 1.04539i | ||||
\(767\) | −1.74181 | − | 3.81404i | −0.0628933 | − | 0.137717i | ||||
\(768\) | 17.8110 | − | 15.4333i | 0.642699 | − | 0.556902i | ||||
\(769\) | −21.4579 | − | 13.7902i | −0.773793 | − | 0.497287i | 0.0931754 | − | 0.995650i | \(-0.470298\pi\) |
−0.866968 | + | 0.498363i | \(0.833935\pi\) | |||||||
\(770\) | 38.0456 | − | 13.7387i | 1.37107 | − | 0.495109i | ||||
\(771\) | 2.23335 | − | 15.5333i | 0.0804323 | − | 0.559419i | ||||
\(772\) | −36.9487 | − | 23.7455i | −1.32981 | − | 0.854619i | ||||
\(773\) | 12.7813 | + | 14.7504i | 0.459712 | + | 0.530536i | 0.937521 | − | 0.347928i | \(-0.113115\pi\) |
−0.477810 | + | 0.878463i | \(0.658569\pi\) | |||||||
\(774\) | −20.8097 | + | 9.50346i | −0.747989 | + | 0.341595i | ||||
\(775\) | 8.39683 | + | 13.0657i | 0.301623 | + | 0.469334i | ||||
\(776\) | 0.120241 | + | 0.0353060i | 0.00431641 | + | 0.00126741i | ||||
\(777\) | 3.68536 | − | 16.1273i | 0.132212 | − | 0.578565i | ||||
\(778\) | 4.23801 | + | 14.4333i | 0.151940 | + | 0.517460i | ||||
\(779\) | 11.3228 | + | 5.17095i | 0.405681 | + | 0.185268i | ||||
\(780\) | −1.49333 | − | 10.3863i | −0.0534698 | − | 0.371890i | ||||
\(781\) | 27.0481i | 0.967856i | ||||||||
\(782\) | 5.93664 | − | 78.9394i | 0.212294 | − | 2.82287i | ||||
\(783\) | − | 8.46419i | − | 0.302486i | ||||||
\(784\) | −8.36507 | − | 4.03376i | −0.298753 | − | 0.144063i | ||||
\(785\) | −0.474790 | + | 1.03964i | −0.0169460 | + | 0.0371065i | ||||
\(786\) | 34.4870 | − | 10.1263i | 1.23011 | − | 0.361193i | ||||
\(787\) | 25.8492 | − | 29.8316i | 0.921426 | − | 1.06338i | −0.0763736 | − | 0.997079i | \(-0.524334\pi\) |
0.997800 | − | 0.0663030i | \(-0.0211204\pi\) | |||||||
\(788\) | 10.6695 | + | 3.13286i | 0.380087 | + | 0.111604i | ||||
\(789\) | 20.7312 | − | 13.3231i | 0.738051 | − | 0.474317i | ||||
\(790\) | −35.6667 | + | 16.2884i | −1.26896 | + | 0.579516i | ||||
\(791\) | 12.9056 | − | 33.5260i | 0.458870 | − | 1.19205i | ||||
\(792\) | 7.60350 | − | 11.8313i | 0.270179 | − | 0.420406i | ||||
\(793\) | 23.7370 | + | 3.41286i | 0.842924 | + | 0.121194i | ||||
\(794\) | 6.55205 | + | 0.942043i | 0.232524 | + | 0.0334319i | ||||
\(795\) | 16.3304 | + | 10.4949i | 0.579180 | + | 0.372216i | ||||
\(796\) | −15.8263 | − | 18.2646i | −0.560950 | − | 0.647371i | ||||
\(797\) | 15.9836 | + | 34.9993i | 0.566169 | + | 1.23974i | 0.948812 | + | 0.315841i | \(0.102287\pi\) |
−0.382643 | + | 0.923896i | \(0.624986\pi\) | |||||||
\(798\) | 23.2412 | + | 13.0081i | 0.822730 | + | 0.460480i | ||||
\(799\) | 3.81281 | − | 12.9852i | 0.134887 | − | 0.459384i | ||||
\(800\) | −5.99170 | + | 6.91478i | −0.211838 | + | 0.244475i | ||||
\(801\) | 9.24362 | − | 2.71417i | 0.326607 | − | 0.0959005i | ||||
\(802\) | 9.33030 | + | 4.26100i | 0.329464 | + | 0.150461i | ||||
\(803\) | 1.34221 | + | 9.33529i | 0.0473657 | + | 0.329435i | ||||
\(804\) | 5.93397 | 0.209275 | ||||||||
\(805\) | 8.41339 | + | 19.1334i | 0.296533 | + | 0.674362i | ||||
\(806\) | −28.9066 | −1.01819 | ||||||||
\(807\) | −1.97665 | − | 13.7479i | −0.0695814 | − | 0.483949i | ||||
\(808\) | −11.0091 | − | 5.02770i | −0.387300 | − | 0.176874i | ||||
\(809\) | 25.5921 | − | 7.51451i | 0.899769 | − | 0.264196i | 0.201040 | − | 0.979583i | \(-0.435568\pi\) |
0.698728 | + | 0.715387i | \(0.253750\pi\) | |||||||
\(810\) | 2.53336 | − | 2.92365i | 0.0890131 | − | 0.102727i | ||||
\(811\) | −12.8502 | + | 43.7638i | −0.451232 | + | 1.53676i | 0.349034 | + | 0.937110i | \(0.386510\pi\) |
−0.800266 | + | 0.599645i | \(0.795308\pi\) | |||||||
\(812\) | −38.4480 | + | 68.6942i | −1.34926 | + | 2.41070i | ||||
\(813\) | 1.00731 | + | 2.20570i | 0.0353279 | + | 0.0773573i | ||||
\(814\) | −38.0036 | − | 43.8585i | −1.33202 | − | 1.53724i | ||||
\(815\) | −3.66961 | − | 2.35832i | −0.128541 | − | 0.0826082i | ||||
\(816\) | 9.22991 | + | 1.32706i | 0.323112 | + | 0.0464564i | ||||
\(817\) | −41.3308 | − | 5.94247i | −1.44598 | − | 0.207901i | ||||
\(818\) | 15.3190 | − | 23.8368i | 0.535617 | − | 0.833436i | ||||
\(819\) | 1.72235 | − | 4.47429i | 0.0601836 | − | 0.156344i | ||||
\(820\) | −15.2960 | + | 6.98544i | −0.534159 | + | 0.243942i | ||||
\(821\) | −29.5168 | + | 18.9693i | −1.03014 | + | 0.662032i | −0.942530 | − | 0.334122i | \(-0.891560\pi\) |
−0.0876126 | + | 0.996155i | \(0.527924\pi\) | |||||||
\(822\) | 4.87695 | + | 1.43200i | 0.170103 | + | 0.0499468i | ||||
\(823\) | 14.6555 | − | 16.9133i | 0.510858 | − | 0.589561i | −0.440460 | − | 0.897772i | \(-0.645185\pi\) |
0.951318 | + | 0.308211i | \(0.0997302\pi\) | |||||||
\(824\) | 45.8241 | − | 13.4552i | 1.59636 | − | 0.468733i | ||||
\(825\) | −3.75389 | + | 8.21987i | −0.130694 | + | 0.286179i | ||||
\(826\) | −11.5990 | + | 8.49505i | −0.403580 | + | 0.295580i | ||||
\(827\) | 33.4173i | 1.16203i | 0.813892 | + | 0.581016i | \(0.197345\pi\) | ||||
−0.813892 | + | 0.581016i | \(0.802655\pi\) | |||||||
\(828\) | 14.7669 | + | 8.13370i | 0.513184 | + | 0.282666i | ||||
\(829\) | 32.3867i | 1.12484i | 0.826853 | + | 0.562419i | \(0.190129\pi\) | ||||
−0.826853 | + | 0.562419i | \(0.809871\pi\) | |||||||
\(830\) | 4.41031 | + | 30.6744i | 0.153084 | + | 1.06472i | ||||
\(831\) | 15.2442 | + | 6.96180i | 0.528816 | + | 0.241502i | ||||
\(832\) | −6.15226 | − | 20.9527i | −0.213291 | − | 0.726404i | ||||
\(833\) | 12.8708 | + | 47.4870i | 0.445948 | + | 1.64533i | ||||
\(834\) | 39.6846 | + | 11.6524i | 1.37416 | + | 0.403491i | ||||
\(835\) | −7.76157 | − | 12.0772i | −0.268600 | − | 0.417950i | ||||
\(836\) | 54.1692 | − | 24.7382i | 1.87348 | − | 0.855590i | ||||
\(837\) | −4.44816 | − | 5.13345i | −0.153751 | − | 0.177438i | ||||
\(838\) | 10.4922 | + | 6.74291i | 0.362446 | + | 0.232930i | ||||
\(839\) | 0.0651207 | − | 0.452924i | 0.00224821 | − | 0.0156367i | −0.988666 | − | 0.150129i | \(-0.952031\pi\) |
0.990915 | + | 0.134492i | \(0.0429403\pi\) | |||||||
\(840\) | −14.5874 | + | 5.26767i | −0.503312 | + | 0.181752i | ||||
\(841\) | 35.8732 | + | 23.0543i | 1.23701 | + | 0.794976i | ||||
\(842\) | 37.5625 | − | 32.5481i | 1.29449 | − | 1.12168i | ||||
\(843\) | 4.58083 | + | 10.0306i | 0.157772 | + | 0.345473i | ||||
\(844\) | −39.1667 | + | 25.1709i | −1.34817 | + | 0.866419i | ||||
\(845\) | 15.3570 | + | 4.50923i | 0.528298 | + | 0.155122i | ||||
\(846\) | 3.41743 | + | 2.96122i | 0.117494 | + | 0.101809i | ||||
\(847\) | 8.73095 | − | 8.55019i | 0.299999 | − | 0.293788i | ||||
\(848\) | −14.2214 | − | 6.49470i | −0.488365 | − | 0.223029i | ||||
\(849\) | 21.5429 | − | 3.09741i | 0.739351 | − | 0.106303i | ||||
\(850\) | −37.7424 | −1.29455 | ||||||||
\(851\) | 21.2815 | − | 21.1261i | 0.729519 | − | 0.724193i | ||||
\(852\) | − | 24.0588i | − | 0.824240i | ||||||
\(853\) | 37.5593 | − | 5.40022i | 1.28601 | − | 0.184900i | 0.534807 | − | 0.844974i | \(-0.320384\pi\) |
0.751200 | + | 0.660074i | \(0.229475\pi\) | |||||||
\(854\) | −5.00791 | − | 82.0756i | −0.171367 | − | 2.80857i | ||||
\(855\) | 6.77495 | − | 1.98931i | 0.231698 | − | 0.0680328i | ||||
\(856\) | −10.5550 | − | 9.14599i | −0.360764 | − | 0.312604i | ||||
\(857\) | −7.05633 | + | 24.0317i | −0.241040 | + | 0.820906i | 0.746749 | + | 0.665106i | \(0.231614\pi\) |
−0.987789 | + | 0.155800i | \(0.950205\pi\) | |||||||
\(858\) | −9.09281 | − | 14.1487i | −0.310423 | − | 0.483028i | ||||
\(859\) | 7.36834 | − | 3.36501i | 0.251404 | − | 0.114813i | −0.285727 | − | 0.958311i | \(-0.592235\pi\) |
0.537132 | + | 0.843498i | \(0.319508\pi\) | |||||||
\(860\) | 42.6303 | − | 36.9393i | 1.45368 | − | 1.25962i | ||||
\(861\) | −7.65736 | − | 0.628231i | −0.260962 | − | 0.0214100i | ||||
\(862\) | 50.8083 | + | 7.30513i | 1.73054 | + | 0.248814i | ||||
\(863\) | −2.89242 | + | 20.1172i | −0.0984591 | + | 0.684798i | 0.879484 | + | 0.475928i | \(0.157888\pi\) |
−0.977943 | + | 0.208870i | \(0.933021\pi\) | |||||||
\(864\) | 2.16339 | − | 3.36630i | 0.0736000 | − | 0.114524i | ||||
\(865\) | 18.3812 | − | 15.9274i | 0.624981 | − | 0.541549i | ||||
\(866\) | −3.19363 | − | 6.99307i | −0.108524 | − | 0.237634i | ||||
\(867\) | −17.5176 | − | 27.2579i | −0.594928 | − | 0.925727i | ||||
\(868\) | 12.7823 | + | 61.8679i | 0.433860 | + | 2.09993i | ||||
\(869\) | −26.2315 | + | 30.2727i | −0.889842 | + | 1.02693i | ||||
\(870\) | 9.22508 | + | 31.4177i | 0.312760 | + | 1.06516i | ||||
\(871\) | 1.27071 | − | 2.78247i | 0.0430564 | − | 0.0942803i | ||||
\(872\) | −12.3601 | + | 1.77712i | −0.418566 | + | 0.0601807i | ||||
\(873\) | 0.0352153 | 0.00119186 | ||||||||
\(874\) | 22.9818 | + | 42.4571i | 0.777370 | + | 1.43613i | ||||
\(875\) | 28.0297 | − | 14.9269i | 0.947576 | − | 0.504622i | ||||
\(876\) | −1.19387 | − | 8.30358i | −0.0403373 | − | 0.280552i | ||||
\(877\) | 18.6461 | − | 40.8293i | 0.629635 | − | 1.37871i | −0.278665 | − | 0.960389i | \(-0.589892\pi\) |
0.908300 | − | 0.418320i | \(-0.137381\pi\) | |||||||
\(878\) | 20.3042 | + | 69.1496i | 0.685233 | + | 2.33369i | ||||
\(879\) | −14.1647 | − | 12.2738i | −0.477764 | − | 0.413985i | ||||
\(880\) | −2.43330 | + | 8.28705i | −0.0820265 | + | 0.279356i | ||||
\(881\) | −6.46998 | + | 4.15801i | −0.217979 | + | 0.140087i | −0.645074 | − | 0.764120i | \(-0.723173\pi\) |
0.427095 | + | 0.904207i | \(0.359537\pi\) | |||||||
\(882\) | −16.2194 | − | 2.67941i | −0.546137 | − | 0.0902203i | ||||
\(883\) | −6.32819 | − | 7.30312i | −0.212960 | − | 0.245769i | 0.639212 | − | 0.769031i | \(-0.279261\pi\) |
−0.852172 | + | 0.523261i | \(0.824715\pi\) | |||||||
\(884\) | 24.2059 | − | 37.6651i | 0.814132 | − | 1.26681i | ||||
\(885\) | −0.542441 | + | 3.77276i | −0.0182340 | + | 0.126820i | ||||
\(886\) | 1.60621 | − | 11.1714i | 0.0539617 | − | 0.375312i | ||||
\(887\) | −23.4957 | + | 36.5600i | −0.788909 | + | 1.22757i | 0.180852 | + | 0.983510i | \(0.442114\pi\) |
−0.969761 | + | 0.244056i | \(0.921522\pi\) | |||||||
\(888\) | 14.5712 | + | 16.8161i | 0.488979 | + | 0.564312i | ||||
\(889\) | 17.1224 | + | 13.0993i | 0.574267 | + | 0.439338i | ||||
\(890\) | −31.3527 | + | 20.1491i | −1.05094 | + | 0.675401i | ||||
\(891\) | 1.11343 | − | 3.79198i | 0.0373012 | − | 0.127036i | ||||
\(892\) | 1.26596 | + | 1.09696i | 0.0423873 | + | 0.0367288i | ||||
\(893\) | 2.32528 | + | 7.91918i | 0.0778126 | + | 0.265005i | ||||
\(894\) | 5.49614 | − | 12.0349i | 0.183818 | − | 0.402506i | ||||
\(895\) | −5.00468 | − | 34.8083i | −0.167288 | − | 1.16351i | ||||
\(896\) | −47.4008 | + | 25.2428i | −1.58355 | + | 0.843304i | ||||
\(897\) | 6.97613 | − | 5.18249i | 0.232926 | − | 0.173038i | ||||
\(898\) | 70.6078 | 2.35621 | ||||||||
\(899\) | 56.9081 | − | 8.18215i | 1.89799 | − | 0.272890i | ||||
\(900\) | 3.33902 | − | 7.31142i | 0.111301 | − | 0.243714i | ||||
\(901\) | 23.3353 | + | 79.4728i | 0.777412 | + | 2.64762i | ||||
\(902\) | −17.6500 | + | 20.3692i | −0.587680 | + | 0.678219i | ||||
\(903\) | 25.2399 | − | 5.21473i | 0.839931 | − | 0.173535i | ||||
\(904\) | 26.1233 | + | 40.6486i | 0.868847 | + | 1.35195i | ||||
\(905\) | −14.7721 | − | 32.3464i | −0.491042 | − | 1.07523i | ||||
\(906\) | −5.67153 | + | 4.91441i | −0.188424 | + | 0.163270i | ||||
\(907\) | 1.55545 | − | 2.42033i | 0.0516479 | − | 0.0803658i | −0.814469 | − | 0.580207i | \(-0.802972\pi\) |
0.866117 | + | 0.499841i | \(0.166608\pi\) | |||||||
\(908\) | 9.13430 | − | 63.5305i | 0.303132 | − | 2.10833i | ||||
\(909\) | −3.36638 | − | 0.484013i | −0.111656 | − | 0.0160537i | ||||
\(910\) | −1.51656 | + | 18.4850i | −0.0502736 | + | 0.612773i | ||||
\(911\) | 36.4363 | − | 31.5722i | 1.20719 | − | 1.04604i | 0.209519 | − | 0.977805i | \(-0.432810\pi\) |
0.997670 | − | 0.0682305i | \(-0.0217353\pi\) | |||||||
\(912\) | −5.17294 | + | 2.36240i | −0.171293 | + | 0.0782269i | ||||
\(913\) | 17.1161 | + | 26.6332i | 0.566460 | + | 0.881429i | ||||
\(914\) | 20.6841 | − | 70.4434i | 0.684168 | − | 2.33006i | ||||
\(915\) | −16.4751 | − | 14.2758i | −0.544651 | − | 0.471943i | ||||
\(916\) | 52.2065 | − | 15.3292i | 1.72495 | − | 0.506491i | ||||
\(917\) | −40.4177 | + | 2.46612i | −1.33471 | + | 0.0814384i | ||||
\(918\) | 16.3385 | − | 2.34912i | 0.539250 | − | 0.0775324i | ||||
\(919\) | − | 1.21164i | − | 0.0399683i | −0.999800 | − | 0.0199841i | \(-0.993638\pi\) | ||
0.999800 | − | 0.0199841i | \(-0.00636157\pi\) | |||||||
\(920\) | −27.4485 | − | 6.07647i | −0.904950 | − | 0.200335i | ||||
\(921\) | −26.5480 | −0.874787 | ||||||||
\(922\) | 21.8625 | − | 3.14336i | 0.720005 | − | 0.103521i | ||||
\(923\) | −11.2813 | − | 5.15199i | −0.371328 | − | 0.169580i | ||||
\(924\) | −26.2612 | + | 25.7175i | −0.863931 | + | 0.846045i | ||||
\(925\) | −10.8049 | − | 9.36248i | −0.355262 | − | 0.307836i | ||||
\(926\) | −50.3258 | − | 14.7770i | −1.65381 | − | 0.485602i | ||||
\(927\) | 11.2901 | − | 7.25572i | 0.370816 | − | 0.238309i | ||||
\(928\) | 14.0700 | + | 30.8090i | 0.461870 | + | 1.01135i | ||||
\(929\) | −32.5247 | + | 28.1828i | −1.06710 | + | 0.924647i | −0.997338 | − | 0.0729164i | \(-0.976769\pi\) |
−0.0697618 | + | 0.997564i | \(0.522224\pi\) | |||||||
\(930\) | 22.1058 | + | 14.2065i | 0.724877 | + | 0.465850i | ||||
\(931\) | −22.2606 | − | 20.1194i | −0.729561 | − | 0.659386i | ||||
\(932\) | −1.09428 | + | 7.61085i | −0.0358442 | + | 0.249302i | ||||
\(933\) | −1.09545 | − | 0.704005i | −0.0358635 | − | 0.0230481i | ||||
\(934\) | −50.0230 | − | 57.7296i | −1.63680 | − | 1.88897i | ||||
\(935\) | 41.6221 | − | 19.0082i | 1.36119 | − | 0.621633i | ||||
\(936\) | 3.48634 | + | 5.42485i | 0.113955 | + | 0.177317i | ||||
\(937\) | 29.5285 | + | 8.67034i | 0.964652 | + | 0.283248i | 0.725875 | − | 0.687827i | \(-0.241435\pi\) |
0.238778 | + | 0.971074i | \(0.423253\pi\) | |||||||
\(938\) | −10.2250 | − | 2.33658i | −0.333858 | − | 0.0762922i | ||||
\(939\) | −5.00181 | − | 17.0346i | −0.163228 | − | 0.555903i | ||||
\(940\) | −10.1421 | − | 4.63174i | −0.330799 | − | 0.151071i | ||||
\(941\) | −6.53819 | − | 45.4741i | −0.213139 | − | 1.48241i | −0.762586 | − | 0.646886i | \(-0.776071\pi\) |
0.549447 | − | 0.835528i | \(-0.314838\pi\) | |||||||
\(942\) | − | 1.62945i | − | 0.0530902i | ||||||
\(943\) | −11.1183 | − | 8.38681i | −0.362062 | − | 0.273112i | ||||
\(944\) | − | 3.06980i | − | 0.0999134i | ||||||
\(945\) | −3.51609 | + | 2.57517i | −0.114378 | + | 0.0837702i | ||||
\(946\) | 37.5583 | − | 82.2413i | 1.22113 | − | 2.67389i | ||||
\(947\) | 14.5309 | − | 4.26666i | 0.472192 | − | 0.138648i | −0.0369745 | − | 0.999316i | \(-0.511772\pi\) |
0.509166 | + | 0.860668i | \(0.329954\pi\) | |||||||
\(948\) | 23.3324 | − | 26.9270i | 0.757802 | − | 0.874550i | ||||
\(949\) | −4.14925 | − | 1.21833i | −0.134690 | − | 0.0395486i | ||||
\(950\) | 19.3636 | − | 12.4443i | 0.628240 | − | 0.403745i | ||||
\(951\) | −13.9474 | + | 6.36955i | −0.452274 | + | 0.206547i | ||||
\(952\) | −61.7582 | − | 23.7733i | −2.00159 | − | 0.770499i | ||||
\(953\) | −7.23943 | + | 11.2648i | −0.234508 | + | 0.364902i | −0.938484 | − | 0.345322i | \(-0.887770\pi\) |
0.703976 | + | 0.710224i | \(0.251406\pi\) | |||||||
\(954\) | −27.3935 | − | 3.93859i | −0.886898 | − | 0.127517i | ||||
\(955\) | 26.1015 | + | 3.75284i | 0.844626 | + | 0.121439i | ||||
\(956\) | −68.3637 | − | 43.9347i | −2.21104 | − | 1.42095i | ||||
\(957\) | 21.9058 | + | 25.2806i | 0.708113 | + | 0.817206i | ||||
\(958\) | −17.3230 | − | 37.9322i | −0.559682 | − | 1.22553i | ||||
\(959\) | −4.99684 | − | 2.79672i | −0.161356 | − | 0.0903109i | ||||
\(960\) | −5.59265 | + | 19.0468i | −0.180502 | + | 0.614734i | ||||
\(961\) | 9.91358 | − | 11.4409i | 0.319793 | − | 0.369061i | ||||
\(962\) | 25.5313 | − | 7.49668i | 0.823163 | − | 0.241703i | ||||
\(963\) | −3.56999 | − | 1.63036i | −0.115041 | − | 0.0525376i | ||||
\(964\) | 7.04289 | + | 48.9844i | 0.226836 | + | 1.57768i | ||||
\(965\) | 20.5814 | 0.662538 | ||||||||
\(966\) | −22.2425 | − | 19.8301i | −0.715641 | − | 0.638023i | ||||
\(967\) | 29.2626 | 0.941023 | 0.470512 | − | 0.882394i | \(-0.344069\pi\) | ||||
0.470512 | + | 0.882394i | \(0.344069\pi\) | |||||||
\(968\) | 2.33918 | + | 16.2693i | 0.0751840 | + | 0.522916i | ||||
\(969\) | 27.4055 | + | 12.5157i | 0.880390 | + | 0.402061i | ||||
\(970\) | −0.130714 | + | 0.0383810i | −0.00419696 | + | 0.00123234i | ||||
\(971\) | −6.41935 | + | 7.40833i | −0.206007 | + | 0.237745i | −0.849346 | − | 0.527837i | \(-0.823003\pi\) |
0.643339 | + | 0.765582i | \(0.277549\pi\) | |||||||
\(972\) | −0.990372 | + | 3.37290i | −0.0317662 | + | 0.108186i | ||||
\(973\) | −40.6602 | − | 22.7574i | −1.30351 | − | 0.729569i | ||||
\(974\) | 6.51837 | + | 14.2732i | 0.208862 | + | 0.457344i | ||||
\(975\) | −2.71334 | − | 3.13136i | −0.0868964 | − | 0.100284i | ||||
\(976\) | 14.7702 | + | 9.49220i | 0.472781 | + | 0.303838i | ||||
\(977\) | 50.9820 | + | 7.33011i | 1.63106 | + | 0.234511i | 0.896181 | − | 0.443689i | \(-0.146330\pi\) |
0.734878 | + | 0.678200i | \(0.237240\pi\) | |||||||
\(978\) | 6.15561 | + | 0.885043i | 0.196835 | + | 0.0283005i | ||||
\(979\) | −20.5842 | + | 32.0296i | −0.657873 | + | 1.02367i | ||||
\(980\) | 40.2336 | − | 4.92813i | 1.28522 | − | 0.157423i | ||||
\(981\) | −3.19191 | + | 1.45770i | −0.101910 | + | 0.0465407i | ||||
\(982\) | 30.1143 | − | 19.3533i | 0.960985 | − | 0.617587i | ||||
\(983\) | −43.2032 | − | 12.6856i | −1.37797 | − | 0.404608i | −0.492906 | − | 0.870082i | \(-0.664065\pi\) |
−0.885061 | + | 0.465475i | \(0.845884\pi\) | |||||||
\(984\) | 6.76732 | − | 7.80990i | 0.215734 | − | 0.248971i | ||||
\(985\) | −4.99975 | + | 1.46806i | −0.159305 | + | 0.0467762i | ||||
\(986\) | −58.0393 | + | 127.088i | −1.84835 | + | 4.04732i | ||||
\(987\) | −3.01009 | − | 4.10992i | −0.0958123 | − | 0.130820i | ||||
\(988\) | 27.3051i | 0.868689i | ||||||||
\(989\) | 43.7118 | + | 16.4864i | 1.38995 | + | 0.524236i | ||||
\(990\) | 15.2887i | 0.485908i | ||||||||
\(991\) | −2.34694 | − | 16.3233i | −0.0745530 | − | 0.518528i | −0.992540 | − | 0.121918i | \(-0.961096\pi\) |
0.917987 | − | 0.396610i | \(-0.129813\pi\) | |||||||
\(992\) | 24.7243 | + | 11.2912i | 0.784996 | + | 0.358496i | ||||
\(993\) | 4.15928 | + | 14.1652i | 0.131991 | + | 0.449520i | ||||
\(994\) | −9.47348 | + | 41.4564i | −0.300481 | + | 1.31492i | ||||
\(995\) | 10.8661 | + | 3.19059i | 0.344480 | + | 0.101148i | ||||
\(996\) | −15.2245 | − | 23.6897i | −0.482405 | − | 0.750637i | ||||
\(997\) | 36.0503 | − | 16.4636i | 1.14173 | − | 0.521409i | 0.247439 | − | 0.968903i | \(-0.420411\pi\) |
0.894286 | + | 0.447495i | \(0.147684\pi\) | |||||||
\(998\) | 29.1986 | + | 33.6970i | 0.924266 | + | 1.06666i | ||||
\(999\) | 5.26010 | + | 3.38046i | 0.166422 | + | 0.106953i |
(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 | 483.2.r.a.181.5 | ✓ | 320 | |
7.6 | odd | 2 | inner | 483.2.r.a.181.6 | yes | 320 | |
23.15 | odd | 22 | inner | 483.2.r.a.475.6 | yes | 320 | |
161.153 | even | 22 | inner | 483.2.r.a.475.5 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.r.a.181.5 | ✓ | 320 | 1.1 | even | 1 | trivial | |
483.2.r.a.181.6 | yes | 320 | 7.6 | odd | 2 | inner | |
483.2.r.a.475.5 | yes | 320 | 161.153 | even | 22 | inner | |
483.2.r.a.475.6 | yes | 320 | 23.15 | odd | 22 | inner |