Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [242,2,Mod(5,242)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(242, base_ring=CyclotomicField(110))
chi = DirichletCharacter(H, H._module([74]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("242.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 242 = 2 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 242.g (of order \(55\), degree \(40\), 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: | \(1.93237972891\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{55})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{55}]$ |
Embedding invariants
Embedding label | 5.2 | ||
Character | \(\chi\) | \(=\) | 242.5 |
Dual form | 242.2.g.b.97.2 |
$q$-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 \(\left(\mathbb{Z}/242\mathbb{Z}\right)^\times\).
\(n\) | \(123\) |
\(\chi(n)\) | \(e\left(\frac{37}{55}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.516397 | − | 0.856349i | 0.365148 | − | 0.605530i | ||||
\(3\) | −0.659289 | − | 0.479001i | −0.380640 | − | 0.276551i | 0.380969 | − | 0.924588i | \(-0.375590\pi\) |
−0.761609 | + | 0.648036i | \(0.775590\pi\) | |||||||
\(4\) | −0.466667 | − | 0.884433i | −0.233334 | − | 0.442216i | ||||
\(5\) | −2.95672 | + | 2.41770i | −1.32229 | + | 1.08123i | −0.331840 | + | 0.943336i | \(0.607669\pi\) |
−0.990447 | + | 0.137893i | \(0.955967\pi\) | |||||||
\(6\) | −0.750647 | + | 0.317226i | −0.306450 | + | 0.129507i | ||||
\(7\) | −2.54441 | + | 3.29965i | −0.961695 | + | 1.24715i | 0.00727539 | + | 0.999974i | \(0.497684\pi\) |
−0.968971 | + | 0.247175i | \(0.920498\pi\) | |||||||
\(8\) | −0.998369 | − | 0.0570888i | −0.352977 | − | 0.0201839i | ||||
\(9\) | −0.721832 | − | 2.22157i | −0.240611 | − | 0.740523i | ||||
\(10\) | 0.543551 | + | 3.78048i | 0.171886 | + | 1.19549i | ||||
\(11\) | −1.96007 | − | 2.67547i | −0.590982 | − | 0.806684i | ||||
\(12\) | −0.115976 | + | 0.806631i | −0.0334794 | + | 0.232854i | ||||
\(13\) | −2.86513 | + | 0.495830i | −0.794644 | + | 0.137519i | −0.553367 | − | 0.832938i | \(-0.686657\pi\) |
−0.241277 | + | 0.970456i | \(0.577566\pi\) | |||||||
\(14\) | 1.51172 | + | 3.88283i | 0.404025 | + | 1.03773i | ||||
\(15\) | 3.10742 | − | 0.177688i | 0.802331 | − | 0.0458790i | ||||
\(16\) | −0.564443 | + | 0.825472i | −0.141111 | + | 0.206368i | ||||
\(17\) | 2.67263 | − | 0.306656i | 0.648209 | − | 0.0743751i | 0.216350 | − | 0.976316i | \(-0.430585\pi\) |
0.431860 | + | 0.901941i | \(0.357858\pi\) | |||||||
\(18\) | −2.27519 | − | 0.529073i | −0.536268 | − | 0.124704i | ||||
\(19\) | −1.33053 | + | 0.751383i | −0.305244 | + | 0.172379i | −0.636742 | − | 0.771077i | \(-0.719718\pi\) |
0.331499 | + | 0.943456i | \(0.392446\pi\) | |||||||
\(20\) | 3.51810 | + | 1.48676i | 0.786671 | + | 0.332450i | ||||
\(21\) | 3.25803 | − | 0.956645i | 0.710961 | − | 0.208757i | ||||
\(22\) | −3.30331 | + | 0.296896i | −0.704268 | + | 0.0632984i | ||||
\(23\) | 8.66322 | + | 2.54375i | 1.80641 | + | 0.530409i | 0.998281 | − | 0.0586024i | \(-0.0186644\pi\) |
0.808125 | + | 0.589011i | \(0.200483\pi\) | |||||||
\(24\) | 0.630868 | + | 0.515858i | 0.128775 | + | 0.105299i | ||||
\(25\) | 1.90398 | − | 9.39653i | 0.380797 | − | 1.87931i | ||||
\(26\) | −1.05494 | + | 2.70960i | −0.206891 | + | 0.531395i | ||||
\(27\) | −1.34372 | + | 4.13553i | −0.258598 | + | 0.795884i | ||||
\(28\) | 4.10571 | + | 0.710521i | 0.775906 | + | 0.134276i | ||||
\(29\) | −0.377401 | − | 1.86255i | −0.0700816 | − | 0.345866i | 0.929664 | − | 0.368408i | \(-0.120097\pi\) |
−0.999746 | + | 0.0225416i | \(0.992824\pi\) | |||||||
\(30\) | 1.45250 | − | 2.75279i | 0.265189 | − | 0.502588i | ||||
\(31\) | −5.94674 | + | 2.92382i | −1.06807 | + | 0.525133i | −0.888624 | − | 0.458636i | \(-0.848338\pi\) |
−0.179442 | + | 0.983769i | \(0.557429\pi\) | |||||||
\(32\) | 0.415415 | + | 0.909632i | 0.0734357 | + | 0.160802i | ||||
\(33\) | 0.0106965 | + | 2.70278i | 0.00186203 | + | 0.470494i | ||||
\(34\) | 1.11754 | − | 2.44706i | 0.191656 | − | 0.419668i | ||||
\(35\) | −0.454448 | − | 15.9078i | −0.0768157 | − | 2.68890i | ||||
\(36\) | −1.62797 | + | 1.67515i | −0.271329 | + | 0.279191i | ||||
\(37\) | −4.90537 | − | 5.04751i | −0.806438 | − | 0.829805i | 0.181703 | − | 0.983353i | \(-0.441839\pi\) |
−0.988141 | + | 0.153548i | \(0.950930\pi\) | |||||||
\(38\) | −0.0436345 | + | 1.52741i | −0.00707845 | + | 0.247778i | ||||
\(39\) | 2.12645 | + | 1.04551i | 0.340504 | + | 0.167415i | ||||
\(40\) | 3.08993 | − | 2.24496i | 0.488560 | − | 0.354960i | ||||
\(41\) | 0.349258 | + | 4.06634i | 0.0545450 | + | 0.635056i | 0.971652 | + | 0.236415i | \(0.0759725\pi\) |
−0.917107 | + | 0.398641i | \(0.869482\pi\) | |||||||
\(42\) | 0.863218 | − | 3.28402i | 0.133197 | − | 0.506736i | ||||
\(43\) | −5.06481 | + | 3.25496i | −0.772377 | + | 0.496376i | −0.866496 | − | 0.499185i | \(-0.833633\pi\) |
0.0941190 | + | 0.995561i | \(0.469997\pi\) | |||||||
\(44\) | −1.45157 | + | 2.98210i | −0.218833 | + | 0.449569i | ||||
\(45\) | 7.50535 | + | 4.82339i | 1.11883 | + | 0.719029i | ||||
\(46\) | 6.65200 | − | 6.10515i | 0.980784 | − | 0.900156i | ||||
\(47\) | −10.6143 | + | 2.46824i | −1.54825 | + | 0.360030i | −0.911585 | − | 0.411112i | \(-0.865140\pi\) |
−0.636663 | + | 0.771142i | \(0.719686\pi\) | |||||||
\(48\) | 0.767533 | − | 0.273855i | 0.110784 | − | 0.0395276i | ||||
\(49\) | −2.63413 | − | 10.0213i | −0.376304 | − | 1.43161i | ||||
\(50\) | −7.06350 | − | 6.48282i | −0.998930 | − | 0.916809i | ||||
\(51\) | −1.90893 | − | 1.07802i | −0.267303 | − | 0.150953i | ||||
\(52\) | 1.77559 | + | 2.30263i | 0.246230 | + | 0.319317i | ||||
\(53\) | 3.15731 | + | 4.61742i | 0.433690 | + | 0.634251i | 0.978970 | − | 0.204002i | \(-0.0653951\pi\) |
−0.545281 | + | 0.838254i | \(0.683577\pi\) | |||||||
\(54\) | 2.84757 | + | 3.28627i | 0.387505 | + | 0.447205i | ||||
\(55\) | 12.2639 | + | 3.17177i | 1.65366 | + | 0.427681i | ||||
\(56\) | 2.72863 | − | 3.14901i | 0.364629 | − | 0.420804i | ||||
\(57\) | 1.23711 | + | 0.141946i | 0.163860 | + | 0.0188011i | ||||
\(58\) | −1.78988 | − | 0.638627i | −0.235023 | − | 0.0838559i | ||||
\(59\) | −0.0393446 | + | 0.458081i | −0.00512223 | + | 0.0596370i | −0.998447 | − | 0.0557182i | \(-0.982255\pi\) |
0.993324 | + | 0.115355i | \(0.0368006\pi\) | |||||||
\(60\) | −1.60728 | − | 2.66538i | −0.207499 | − | 0.344099i | ||||
\(61\) | −2.84920 | − | 4.72487i | −0.364803 | − | 0.604958i | 0.618748 | − | 0.785590i | \(-0.287640\pi\) |
−0.983551 | + | 0.180632i | \(0.942186\pi\) | |||||||
\(62\) | −0.567075 | + | 6.60234i | −0.0720186 | + | 0.838498i | ||||
\(63\) | 9.16703 | + | 3.27079i | 1.15494 | + | 0.412081i | ||||
\(64\) | 0.993482 | + | 0.113991i | 0.124185 | + | 0.0142489i | ||||
\(65\) | 7.27263 | − | 8.39306i | 0.902058 | − | 1.04103i | ||||
\(66\) | 2.32005 | + | 1.38655i | 0.285578 | + | 0.170672i | ||||
\(67\) | −1.06690 | − | 1.23127i | −0.130342 | − | 0.150423i | 0.686827 | − | 0.726821i | \(-0.259003\pi\) |
−0.817169 | + | 0.576398i | \(0.804458\pi\) | |||||||
\(68\) | −1.51845 | − | 2.22066i | −0.184139 | − | 0.269295i | ||||
\(69\) | −4.49310 | − | 5.82676i | −0.540906 | − | 0.701459i | ||||
\(70\) | −13.8573 | − | 7.82556i | −1.65626 | − | 0.935333i | ||||
\(71\) | 0.871710 | + | 0.800048i | 0.103453 | + | 0.0949483i | 0.726233 | − | 0.687449i | \(-0.241269\pi\) |
−0.622780 | + | 0.782397i | \(0.713997\pi\) | |||||||
\(72\) | 0.593828 | + | 2.25915i | 0.0699833 | + | 0.266244i | ||||
\(73\) | 0.814364 | − | 0.290564i | 0.0953141 | − | 0.0340080i | −0.287962 | − | 0.957642i | \(-0.592978\pi\) |
0.383276 | + | 0.923634i | \(0.374796\pi\) | |||||||
\(74\) | −6.85555 | + | 1.59419i | −0.796942 | + | 0.185321i | ||||
\(75\) | −5.75623 | + | 5.28302i | −0.664672 | + | 0.610030i | ||||
\(76\) | 1.28546 | + | 0.826115i | 0.147452 | + | 0.0947619i | ||||
\(77\) | 13.8153 | + | 0.339958i | 1.57440 | + | 0.0387418i | ||||
\(78\) | 1.99341 | − | 1.28109i | 0.225709 | − | 0.145055i | ||||
\(79\) | −3.24394 | + | 12.3412i | −0.364971 | + | 1.38849i | 0.490859 | + | 0.871239i | \(0.336683\pi\) |
−0.855831 | + | 0.517256i | \(0.826953\pi\) | |||||||
\(80\) | −0.326842 | − | 3.80535i | −0.0365420 | − | 0.425451i | ||||
\(81\) | −2.80252 | + | 2.03615i | −0.311391 | + | 0.226239i | ||||
\(82\) | 3.66256 | + | 1.80076i | 0.404462 | + | 0.198861i | ||||
\(83\) | −0.141443 | + | 4.95116i | −0.0155254 | + | 0.543460i | 0.954187 | + | 0.299211i | \(0.0967233\pi\) |
−0.969712 | + | 0.244249i | \(0.921458\pi\) | |||||||
\(84\) | −2.36651 | − | 2.43508i | −0.258207 | − | 0.265689i | ||||
\(85\) | −7.16084 | + | 7.36833i | −0.776702 | + | 0.799208i | ||||
\(86\) | 0.171923 | + | 6.01810i | 0.0185390 | + | 0.648948i | ||||
\(87\) | −0.643346 | + | 1.40873i | −0.0689739 | + | 0.151032i | ||||
\(88\) | 1.80413 | + | 2.78300i | 0.192321 | + | 0.296669i | ||||
\(89\) | −6.74987 | − | 14.7802i | −0.715485 | − | 1.56669i | −0.820126 | − | 0.572183i | \(-0.806097\pi\) |
0.104641 | − | 0.994510i | \(-0.466631\pi\) | |||||||
\(90\) | 8.00625 | − | 3.93641i | 0.843933 | − | 0.414934i | ||||
\(91\) | 5.65399 | − | 10.7155i | 0.592699 | − | 1.12329i | ||||
\(92\) | −1.79306 | − | 8.84912i | −0.186940 | − | 0.922585i | ||||
\(93\) | 5.32113 | + | 0.920858i | 0.551775 | + | 0.0954885i | ||||
\(94\) | −3.36750 | + | 10.3641i | −0.347331 | + | 1.06898i | ||||
\(95\) | 2.11738 | − | 5.43844i | 0.217239 | − | 0.557973i | ||||
\(96\) | 0.161836 | − | 0.798694i | 0.0165174 | − | 0.0815164i | ||||
\(97\) | 3.20891 | + | 2.62391i | 0.325816 | + | 0.266418i | 0.781746 | − | 0.623598i | \(-0.214330\pi\) |
−0.455930 | + | 0.890016i | \(0.650693\pi\) | |||||||
\(98\) | −9.94195 | − | 2.91922i | −1.00429 | − | 0.294886i | ||||
\(99\) | −4.52890 | + | 6.28566i | −0.455172 | + | 0.631733i | ||||
\(100\) | −9.19913 | + | 2.70111i | −0.919913 | + | 0.270111i | ||||
\(101\) | 13.1465 | + | 5.55575i | 1.30812 | + | 0.552818i | 0.928159 | − | 0.372183i | \(-0.121391\pi\) |
0.379965 | + | 0.925001i | \(0.375936\pi\) | |||||||
\(102\) | −1.90893 | + | 1.07802i | −0.189012 | + | 0.106740i | ||||
\(103\) | −7.01550 | − | 1.63138i | −0.691257 | − | 0.160745i | −0.133872 | − | 0.990999i | \(-0.542741\pi\) |
−0.557386 | + | 0.830254i | \(0.688196\pi\) | |||||||
\(104\) | 2.88876 | − | 0.331455i | 0.283266 | − | 0.0325018i | ||||
\(105\) | −7.32022 | + | 10.7055i | −0.714380 | + | 1.04475i | ||||
\(106\) | 5.58455 | − | 0.319336i | 0.542419 | − | 0.0310167i | ||||
\(107\) | −3.08484 | − | 7.92336i | −0.298223 | − | 0.765980i | −0.998635 | − | 0.0522406i | \(-0.983364\pi\) |
0.700411 | − | 0.713739i | \(-0.253000\pi\) | |||||||
\(108\) | 4.28467 | − | 0.741492i | 0.412293 | − | 0.0713501i | ||||
\(109\) | −0.0140808 | + | 0.0979339i | −0.00134869 | + | 0.00938037i | −0.990485 | − | 0.137623i | \(-0.956054\pi\) |
0.989136 | + | 0.147003i | \(0.0469628\pi\) | |||||||
\(110\) | 9.04917 | − | 8.86425i | 0.862804 | − | 0.845173i | ||||
\(111\) | 0.816293 | + | 5.67744i | 0.0774791 | + | 0.538879i | ||||
\(112\) | −1.28759 | − | 3.96280i | −0.121666 | − | 0.374449i | ||||
\(113\) | 15.3048 | + | 0.875161i | 1.43976 | + | 0.0823282i | 0.759434 | − | 0.650585i | \(-0.225476\pi\) |
0.680322 | + | 0.732913i | \(0.261840\pi\) | |||||||
\(114\) | 0.760397 | − | 0.986101i | 0.0712177 | − | 0.0923568i | ||||
\(115\) | −31.7648 | + | 13.4239i | −2.96208 | + | 1.25179i | ||||
\(116\) | −1.47118 | + | 1.20297i | −0.136595 | + | 0.111693i | ||||
\(117\) | 3.16966 | + | 6.00718i | 0.293035 | + | 0.555364i | ||||
\(118\) | 0.371959 | + | 0.270244i | 0.0342416 | + | 0.0248780i | ||||
\(119\) | −5.78841 | + | 9.59901i | −0.530623 | + | 0.879939i | ||||
\(120\) | −3.11249 | −0.284130 | ||||||||
\(121\) | −3.31628 | + | 10.4882i | −0.301480 | + | 0.953473i | ||||
\(122\) | −5.51746 | −0.499528 | ||||||||
\(123\) | 1.71752 | − | 2.84819i | 0.154864 | − | 0.256812i | ||||
\(124\) | 5.36107 | + | 3.89504i | 0.481438 | + | 0.349785i | ||||
\(125\) | 8.17660 | + | 15.4964i | 0.731338 | + | 1.38604i | ||||
\(126\) | 7.53477 | − | 6.16115i | 0.671250 | − | 0.548879i | ||||
\(127\) | −0.275208 | + | 0.116304i | −0.0244208 | + | 0.0103203i | −0.401446 | − | 0.915883i | \(-0.631492\pi\) |
0.377026 | + | 0.926203i | \(0.376947\pi\) | |||||||
\(128\) | 0.610648 | − | 0.791902i | 0.0539742 | − | 0.0699949i | ||||
\(129\) | 4.89830 | + | 0.280095i | 0.431271 | + | 0.0246610i | ||||
\(130\) | −3.43182 | − | 10.5621i | −0.300991 | − | 0.926354i | ||||
\(131\) | 1.95521 | + | 13.5988i | 0.170828 | + | 1.18813i | 0.877141 | + | 0.480233i | \(0.159448\pi\) |
−0.706313 | + | 0.707899i | \(0.749643\pi\) | |||||||
\(132\) | 2.38544 | − | 1.27076i | 0.207626 | − | 0.110605i | ||||
\(133\) | 0.906103 | − | 6.30209i | 0.0785691 | − | 0.546460i | ||||
\(134\) | −1.60534 | + | 0.277815i | −0.138680 | + | 0.0239995i | ||||
\(135\) | −6.02549 | − | 15.4763i | −0.518591 | − | 1.33199i | ||||
\(136\) | −2.68578 | + | 0.153579i | −0.230304 | + | 0.0131693i | ||||
\(137\) | 11.2438 | − | 16.4435i | 0.960622 | − | 1.40486i | 0.0467294 | − | 0.998908i | \(-0.485120\pi\) |
0.913892 | − | 0.405957i | \(-0.133062\pi\) | |||||||
\(138\) | −7.30997 | + | 0.838740i | −0.622266 | + | 0.0713983i | ||||
\(139\) | −3.09078 | − | 0.718730i | −0.262156 | − | 0.0609619i | 0.0933582 | − | 0.995633i | \(-0.470240\pi\) |
−0.355515 | + | 0.934671i | \(0.615694\pi\) | |||||||
\(140\) | −13.8573 | + | 7.82556i | −1.17115 | + | 0.661380i | ||||
\(141\) | 8.18015 | + | 3.45696i | 0.688893 | + | 0.291128i | ||||
\(142\) | 1.13527 | − | 0.333345i | 0.0952697 | − | 0.0279737i | ||||
\(143\) | 6.94242 | + | 6.69371i | 0.580555 | + | 0.559756i | ||||
\(144\) | 2.24128 | + | 0.658098i | 0.186773 | + | 0.0548415i | ||||
\(145\) | 5.61895 | + | 4.59459i | 0.466628 | + | 0.381560i | ||||
\(146\) | 0.171711 | − | 0.847426i | 0.0142109 | − | 0.0701335i | ||||
\(147\) | −3.06354 | + | 7.86865i | −0.252677 | + | 0.648995i | ||||
\(148\) | −2.17501 | + | 6.69398i | −0.178784 | + | 0.550242i | ||||
\(149\) | −20.7887 | − | 3.59762i | −1.70308 | − | 0.294729i | −0.765738 | − | 0.643152i | \(-0.777626\pi\) |
−0.937337 | + | 0.348423i | \(0.886717\pi\) | |||||||
\(150\) | 1.55161 | + | 7.65747i | 0.126688 | + | 0.625230i | ||||
\(151\) | 0.731413 | − | 1.38618i | 0.0595216 | − | 0.112806i | −0.852872 | − | 0.522120i | \(-0.825141\pi\) |
0.912393 | + | 0.409314i | \(0.134232\pi\) | |||||||
\(152\) | 1.37125 | − | 0.674199i | 0.111223 | − | 0.0546848i | ||||
\(153\) | −2.61045 | − | 5.71609i | −0.211042 | − | 0.462119i | ||||
\(154\) | 7.42531 | − | 11.6552i | 0.598349 | − | 0.939201i | ||||
\(155\) | 10.5140 | − | 23.0224i | 0.844501 | − | 1.84920i | ||||
\(156\) | −0.0676656 | − | 2.36861i | −0.00541758 | − | 0.189640i | ||||
\(157\) | 4.25975 | − | 4.38318i | 0.339965 | − | 0.349816i | −0.525492 | − | 0.850798i | \(-0.676119\pi\) |
0.865457 | + | 0.500982i | \(0.167028\pi\) | |||||||
\(158\) | 8.89323 | + | 9.15091i | 0.707507 | + | 0.728008i | ||||
\(159\) | 0.130171 | − | 4.55657i | 0.0103232 | − | 0.361359i | ||||
\(160\) | −3.42749 | − | 1.68518i | −0.270967 | − | 0.133225i | ||||
\(161\) | −30.4362 | + | 22.1132i | −2.39871 | + | 1.74277i | ||||
\(162\) | 0.296441 | + | 3.45139i | 0.0232906 | + | 0.271167i | ||||
\(163\) | −1.18441 | + | 4.50597i | −0.0927703 | + | 0.352935i | −0.997296 | − | 0.0734833i | \(-0.976588\pi\) |
0.904526 | + | 0.426418i | \(0.140225\pi\) | |||||||
\(164\) | 3.43342 | − | 2.20652i | 0.268105 | − | 0.172301i | ||||
\(165\) | −6.56614 | − | 7.96551i | −0.511173 | − | 0.620114i | ||||
\(166\) | 4.16688 | + | 2.67789i | 0.323412 | + | 0.207845i | ||||
\(167\) | 4.03567 | − | 3.70390i | 0.312289 | − | 0.286617i | −0.504669 | − | 0.863313i | \(-0.668386\pi\) |
0.816959 | + | 0.576696i | \(0.195658\pi\) | |||||||
\(168\) | −3.30733 | + | 0.769087i | −0.255166 | + | 0.0593364i | ||||
\(169\) | −4.28086 | + | 1.52741i | −0.329297 | + | 0.117493i | ||||
\(170\) | 2.61202 | + | 9.93716i | 0.200333 | + | 0.762146i | ||||
\(171\) | 2.62966 | + | 2.41348i | 0.201095 | + | 0.184564i | ||||
\(172\) | 5.24237 | + | 2.96050i | 0.399727 | + | 0.225736i | ||||
\(173\) | 3.82883 | + | 4.96531i | 0.291101 | + | 0.377506i | 0.914629 | − | 0.404295i | \(-0.132483\pi\) |
−0.623528 | + | 0.781801i | \(0.714301\pi\) | |||||||
\(174\) | 0.874143 | + | 1.27839i | 0.0662686 | + | 0.0969147i | ||||
\(175\) | 26.1607 | + | 30.1911i | 1.97756 | + | 2.28223i | ||||
\(176\) | 3.31487 | − | 0.107829i | 0.249868 | − | 0.00812795i | ||||
\(177\) | 0.245361 | − | 0.283161i | 0.0184424 | − | 0.0212837i | ||||
\(178\) | −16.1426 | − | 1.85219i | −1.20994 | − | 0.138827i | ||||
\(179\) | −18.6817 | − | 6.66562i | −1.39634 | − | 0.498212i | −0.472612 | − | 0.881270i | \(-0.656689\pi\) |
−0.923724 | + | 0.383059i | \(0.874871\pi\) | |||||||
\(180\) | 0.763468 | − | 8.88890i | 0.0569055 | − | 0.662539i | ||||
\(181\) | −11.8419 | − | 19.6376i | −0.880202 | − | 1.45965i | −0.888083 | − | 0.459682i | \(-0.847963\pi\) |
0.00788121 | − | 0.999969i | \(-0.497491\pi\) | |||||||
\(182\) | −6.25650 | − | 10.3752i | −0.463763 | − | 0.769065i | ||||
\(183\) | −0.384773 | + | 4.47983i | −0.0284432 | + | 0.331158i | ||||
\(184\) | −8.50387 | − | 3.03418i | −0.626914 | − | 0.223682i | ||||
\(185\) | 26.7072 | + | 3.06437i | 1.96355 | + | 0.225297i | ||||
\(186\) | 3.53639 | − | 4.08121i | 0.259301 | − | 0.299249i | ||||
\(187\) | −6.05899 | − | 6.54949i | −0.443077 | − | 0.478946i | ||||
\(188\) | 7.13632 | + | 8.23575i | 0.520469 | + | 0.600654i | ||||
\(189\) | −10.2268 | − | 14.9563i | −0.743893 | − | 1.08791i | ||||
\(190\) | −3.56380 | − | 4.62161i | −0.258545 | − | 0.335287i | ||||
\(191\) | −8.41659 | − | 4.75307i | −0.609003 | − | 0.343920i | 0.156184 | − | 0.987728i | \(-0.450081\pi\) |
−0.765187 | + | 0.643808i | \(0.777354\pi\) | |||||||
\(192\) | −0.600389 | − | 0.551032i | −0.0433294 | − | 0.0397673i | ||||
\(193\) | 5.58002 | + | 21.2286i | 0.401658 | + | 1.52807i | 0.793810 | + | 0.608166i | \(0.208095\pi\) |
−0.392151 | + | 0.919901i | \(0.628269\pi\) | |||||||
\(194\) | 3.90406 | − | 1.39297i | 0.280295 | − | 0.100009i | ||||
\(195\) | −8.81504 | + | 2.04985i | −0.631258 | + | 0.146793i | ||||
\(196\) | −7.63387 | + | 7.00630i | −0.545276 | + | 0.500450i | ||||
\(197\) | −13.9031 | − | 8.93500i | −0.990557 | − | 0.636593i | −0.0582661 | − | 0.998301i | \(-0.518557\pi\) |
−0.932291 | + | 0.361709i | \(0.882194\pi\) | |||||||
\(198\) | 3.04401 | + | 7.12422i | 0.216328 | + | 0.506296i | ||||
\(199\) | 6.73028 | − | 4.32529i | 0.477097 | − | 0.306612i | −0.279901 | − | 0.960029i | \(-0.590302\pi\) |
0.756998 | + | 0.653417i | \(0.226665\pi\) | |||||||
\(200\) | −2.43732 | + | 9.27251i | −0.172344 | + | 0.655666i | ||||
\(201\) | 0.113616 | + | 1.32281i | 0.00801385 | + | 0.0933036i | ||||
\(202\) | 11.5465 | − | 8.38901i | 0.812407 | − | 0.590248i | ||||
\(203\) | 7.10600 | + | 3.49379i | 0.498744 | + | 0.245216i | ||||
\(204\) | −0.0626031 | + | 2.19139i | −0.00438309 | + | 0.153428i | ||||
\(205\) | −10.8639 | − | 11.1786i | −0.758765 | − | 0.780750i | ||||
\(206\) | −5.01982 | + | 5.16527i | −0.349747 | + | 0.359881i | ||||
\(207\) | −0.602267 | − | 21.0821i | −0.0418605 | − | 1.46531i | ||||
\(208\) | 1.20791 | − | 2.64495i | 0.0837534 | − | 0.183394i | ||||
\(209\) | 4.61822 | + | 2.08702i | 0.319449 | + | 0.144362i | ||||
\(210\) | 5.38749 | + | 11.7969i | 0.371772 | + | 0.814067i | ||||
\(211\) | −3.66323 | + | 1.80109i | −0.252187 | + | 0.123992i | −0.562937 | − | 0.826500i | \(-0.690329\pi\) |
0.310750 | + | 0.950492i | \(0.399420\pi\) | |||||||
\(212\) | 2.61038 | − | 4.94723i | 0.179282 | − | 0.339777i | ||||
\(213\) | −0.191484 | − | 0.945013i | −0.0131203 | − | 0.0647512i | ||||
\(214\) | −8.37817 | − | 1.44990i | −0.572720 | − | 0.0991130i | ||||
\(215\) | 7.10574 | − | 21.8692i | 0.484607 | − | 1.49147i | ||||
\(216\) | 1.57762 | − | 4.05208i | 0.107343 | − | 0.275709i | ||||
\(217\) | 5.48337 | − | 27.0615i | 0.372236 | − | 1.83706i | ||||
\(218\) | 0.0765943 | + | 0.0626309i | 0.00518762 | + | 0.00424190i | ||||
\(219\) | −0.676081 | − | 0.198515i | −0.0456853 | − | 0.0134144i | ||||
\(220\) | −2.91793 | − | 12.3267i | −0.196727 | − | 0.831068i | ||||
\(221\) | −7.50539 | + | 2.20378i | −0.504867 | + | 0.148242i | ||||
\(222\) | 5.28341 | + | 2.23279i | 0.354599 | + | 0.149855i | ||||
\(223\) | 3.08336 | − | 1.74125i | 0.206477 | − | 0.116603i | −0.385026 | − | 0.922906i | \(-0.625808\pi\) |
0.591503 | + | 0.806303i | \(0.298535\pi\) | |||||||
\(224\) | −4.05845 | − | 0.943752i | −0.271166 | − | 0.0630571i | ||||
\(225\) | −22.2494 | + | 2.55288i | −1.48329 | + | 0.170192i | ||||
\(226\) | 8.65281 | − | 12.6543i | 0.575576 | − | 0.841754i | ||||
\(227\) | 19.5242 | − | 1.11643i | 1.29586 | − | 0.0741002i | 0.604499 | − | 0.796606i | \(-0.293373\pi\) |
0.691365 | + | 0.722505i | \(0.257010\pi\) | |||||||
\(228\) | −0.451779 | − | 1.16039i | −0.0299198 | − | 0.0768484i | ||||
\(229\) | −13.3027 | + | 2.30213i | −0.879070 | + | 0.152129i | −0.592152 | − | 0.805826i | \(-0.701722\pi\) |
−0.286918 | + | 0.957955i | \(0.592631\pi\) | |||||||
\(230\) | −4.90770 | + | 34.1338i | −0.323604 | + | 2.25072i | ||||
\(231\) | −8.94543 | − | 6.84168i | −0.588566 | − | 0.450149i | ||||
\(232\) | 0.270455 | + | 1.88105i | 0.0177562 | + | 0.123497i | ||||
\(233\) | 6.79656 | + | 20.9177i | 0.445257 | + | 1.37036i | 0.882201 | + | 0.470872i | \(0.156061\pi\) |
−0.436944 | + | 0.899489i | \(0.643939\pi\) | |||||||
\(234\) | 6.78105 | + | 0.387754i | 0.443291 | + | 0.0253483i | ||||
\(235\) | 25.4160 | − | 32.9600i | 1.65795 | − | 2.15007i | ||||
\(236\) | 0.423502 | − | 0.178974i | 0.0275677 | − | 0.0116502i | ||||
\(237\) | 8.05015 | − | 6.58257i | 0.522913 | − | 0.427584i | ||||
\(238\) | 5.23098 | + | 9.91380i | 0.339074 | + | 0.642617i | ||||
\(239\) | 16.5235 | + | 12.0050i | 1.06882 | + | 0.776542i | 0.975699 | − | 0.219113i | \(-0.0703163\pi\) |
0.0931189 | + | 0.995655i | \(0.470316\pi\) | |||||||
\(240\) | −1.60728 | + | 2.66538i | −0.103750 | + | 0.172049i | ||||
\(241\) | 22.2207 | 1.43136 | 0.715680 | − | 0.698428i | \(-0.246117\pi\) | ||||
0.715680 | + | 0.698428i | \(0.246117\pi\) | |||||||
\(242\) | 7.26904 | + | 8.25597i | 0.467272 | + | 0.530714i | ||||
\(243\) | 15.8681 | 1.01794 | ||||||||
\(244\) | −2.84920 | + | 4.72487i | −0.182402 | + | 0.302479i | ||||
\(245\) | 32.0168 | + | 23.2615i | 2.04548 | + | 1.48613i | ||||
\(246\) | −1.55212 | − | 2.94159i | −0.0989595 | − | 0.187549i | ||||
\(247\) | 3.43957 | − | 2.81252i | 0.218855 | − | 0.178957i | ||||
\(248\) | 6.10396 | − | 2.57955i | 0.387602 | − | 0.163802i | ||||
\(249\) | 2.46486 | − | 3.19649i | 0.156204 | − | 0.202569i | ||||
\(250\) | 17.4927 | + | 1.00027i | 1.10633 | + | 0.0632625i | ||||
\(251\) | −0.582065 | − | 1.79141i | −0.0367396 | − | 0.113073i | 0.931005 | − | 0.365007i | \(-0.118933\pi\) |
−0.967744 | + | 0.251934i | \(0.918933\pi\) | |||||||
\(252\) | −1.38516 | − | 9.63399i | −0.0872568 | − | 0.606884i | ||||
\(253\) | −10.1748 | − | 28.1641i | −0.639682 | − | 1.77066i | ||||
\(254\) | −0.0425201 | + | 0.295734i | −0.00266795 | + | 0.0185560i | ||||
\(255\) | 8.25050 | − | 1.42780i | 0.516666 | − | 0.0894126i | ||||
\(256\) | −0.362808 | − | 0.931864i | −0.0226755 | − | 0.0582415i | ||||
\(257\) | −16.5275 | + | 0.945077i | −1.03096 | + | 0.0589523i | −0.564370 | − | 0.825522i | \(-0.690881\pi\) |
−0.466588 | + | 0.884475i | \(0.654517\pi\) | |||||||
\(258\) | 2.76933 | − | 4.05002i | 0.172411 | − | 0.252143i | ||||
\(259\) | 29.1363 | − | 3.34307i | 1.81044 | − | 0.207729i | ||||
\(260\) | −10.8170 | − | 2.51538i | −0.670841 | − | 0.155997i | ||||
\(261\) | −3.86536 | + | 2.18287i | −0.239259 | + | 0.135116i | ||||
\(262\) | 12.6550 | + | 5.34804i | 0.781827 | + | 0.330403i | ||||
\(263\) | 23.9476 | − | 7.03164i | 1.47667 | − | 0.433589i | 0.558409 | − | 0.829566i | \(-0.311412\pi\) |
0.918261 | + | 0.395976i | \(0.129594\pi\) | |||||||
\(264\) | 0.143619 | − | 2.69898i | 0.00883917 | − | 0.166111i | ||||
\(265\) | −20.4988 | − | 6.01900i | −1.25923 | − | 0.369744i | ||||
\(266\) | −4.92888 | − | 4.03032i | −0.302209 | − | 0.247115i | ||||
\(267\) | −2.62960 | + | 12.9776i | −0.160929 | + | 0.794215i | ||||
\(268\) | −0.591086 | + | 1.51819i | −0.0361063 | + | 0.0927384i | ||||
\(269\) | 0.667610 | − | 2.05469i | 0.0407049 | − | 0.125277i | −0.928639 | − | 0.370984i | \(-0.879020\pi\) |
0.969344 | + | 0.245708i | \(0.0790203\pi\) | |||||||
\(270\) | −16.3647 | − | 2.83202i | −0.995923 | − | 0.172351i | ||||
\(271\) | 1.17882 | + | 5.81771i | 0.0716083 | + | 0.353401i | 0.999826 | − | 0.0186359i | \(-0.00593233\pi\) |
−0.928218 | + | 0.372037i | \(0.878660\pi\) | |||||||
\(272\) | −1.25541 | + | 2.37928i | −0.0761207 | + | 0.144265i | ||||
\(273\) | −8.86035 | + | 4.35634i | −0.536253 | + | 0.263658i | ||||
\(274\) | −8.27513 | − | 18.1200i | −0.499919 | − | 1.09467i | ||||
\(275\) | −28.8721 | + | 13.3238i | −1.74105 | + | 0.803454i | ||||
\(276\) | −3.05659 | + | 6.69301i | −0.183985 | + | 0.402872i | ||||
\(277\) | −0.186887 | − | 6.54189i | −0.0112289 | − | 0.393064i | −0.985696 | − | 0.168533i | \(-0.946097\pi\) |
0.974467 | − | 0.224531i | \(-0.0720849\pi\) | |||||||
\(278\) | −2.21155 | + | 2.27563i | −0.132640 | + | 0.136484i | ||||
\(279\) | 10.7880 | + | 11.1006i | 0.645861 | + | 0.664575i | ||||
\(280\) | −0.454448 | + | 15.9078i | −0.0271585 | + | 0.950670i | ||||
\(281\) | −8.41965 | − | 4.13966i | −0.502274 | − | 0.246952i | 0.172454 | − | 0.985018i | \(-0.444830\pi\) |
−0.674729 | + | 0.738066i | \(0.735739\pi\) | |||||||
\(282\) | 7.18457 | − | 5.21990i | 0.427835 | − | 0.310840i | ||||
\(283\) | 1.10215 | + | 12.8321i | 0.0655162 | + | 0.762792i | 0.953200 | + | 0.302339i | \(0.0977675\pi\) |
−0.887684 | + | 0.460453i | \(0.847687\pi\) | |||||||
\(284\) | 0.300791 | − | 1.14433i | 0.0178486 | − | 0.0679032i | ||||
\(285\) | −4.00098 | + | 2.57128i | −0.236998 | + | 0.152309i | ||||
\(286\) | 9.31720 | − | 2.48852i | 0.550937 | − | 0.147150i | ||||
\(287\) | −14.3061 | − | 9.19400i | −0.844465 | − | 0.542704i | ||||
\(288\) | 1.72095 | − | 1.57947i | 0.101408 | − | 0.0930714i | ||||
\(289\) | −9.50926 | + | 2.21128i | −0.559368 | + | 0.130076i | ||||
\(290\) | 6.83618 | − | 2.43915i | 0.401435 | − | 0.143232i | ||||
\(291\) | −0.858741 | − | 3.26699i | −0.0503403 | − | 0.191514i | ||||
\(292\) | −0.637022 | − | 0.584653i | −0.0372789 | − | 0.0342142i | ||||
\(293\) | −7.35491 | − | 4.15351i | −0.429678 | − | 0.242651i | 0.261691 | − | 0.965152i | \(-0.415720\pi\) |
−0.691370 | + | 0.722501i | \(0.742992\pi\) | |||||||
\(294\) | 5.15630 | + | 6.68681i | 0.300722 | + | 0.389983i | ||||
\(295\) | −0.991171 | − | 1.44954i | −0.0577082 | − | 0.0843956i | ||||
\(296\) | 4.60922 | + | 5.31932i | 0.267905 | + | 0.309179i | ||||
\(297\) | 13.6983 | − | 4.51085i | 0.794854 | − | 0.261746i | ||||
\(298\) | −13.8160 | + | 15.9446i | −0.800342 | + | 0.923644i | ||||
\(299\) | −26.0825 | − | 2.99269i | −1.50839 | − | 0.173072i | ||||
\(300\) | 7.35872 | + | 2.62558i | 0.424856 | + | 0.151588i | ||||
\(301\) | 2.14674 | − | 24.9940i | 0.123736 | − | 1.44063i | ||||
\(302\) | −0.809356 | − | 1.34217i | −0.0465732 | − | 0.0772330i | ||||
\(303\) | −6.00612 | − | 9.96003i | −0.345042 | − | 0.572189i | ||||
\(304\) | 0.130761 | − | 1.52242i | 0.00749967 | − | 0.0873170i | ||||
\(305\) | 19.8476 | + | 7.08162i | 1.13647 | + | 0.405493i | ||||
\(306\) | −6.24300 | − | 0.716317i | −0.356888 | − | 0.0409491i | ||||
\(307\) | −14.6056 | + | 16.8557i | −0.833584 | + | 0.962007i | −0.999710 | − | 0.0240977i | \(-0.992329\pi\) |
0.166126 | + | 0.986105i | \(0.446874\pi\) | |||||||
\(308\) | −6.14648 | − | 12.3774i | −0.350228 | − | 0.705266i | ||||
\(309\) | 3.84380 | + | 4.43598i | 0.218666 | + | 0.252354i | ||||
\(310\) | −14.2858 | − | 20.8923i | −0.811378 | − | 1.18660i | ||||
\(311\) | −6.20584 | − | 8.04787i | −0.351901 | − | 0.456353i | 0.582367 | − | 0.812926i | \(-0.302127\pi\) |
−0.934267 | + | 0.356573i | \(0.883945\pi\) | |||||||
\(312\) | −2.06330 | − | 1.16520i | −0.116811 | − | 0.0659663i | ||||
\(313\) | −11.7391 | − | 10.7740i | −0.663532 | − | 0.608984i | 0.271970 | − | 0.962306i | \(-0.412325\pi\) |
−0.935502 | + | 0.353321i | \(0.885052\pi\) | |||||||
\(314\) | −1.55381 | − | 5.91130i | −0.0876865 | − | 0.333594i | ||||
\(315\) | −35.0121 | + | 12.4923i | −1.97271 | + | 0.703862i | ||||
\(316\) | 12.4288 | − | 2.89020i | 0.699175 | − | 0.162586i | ||||
\(317\) | −16.8473 | + | 15.4623i | −0.946237 | + | 0.868449i | −0.991445 | − | 0.130529i | \(-0.958333\pi\) |
0.0452070 | + | 0.998978i | \(0.485605\pi\) | |||||||
\(318\) | −3.83479 | − | 2.46447i | −0.215044 | − | 0.138201i | ||||
\(319\) | −4.24345 | + | 4.66044i | −0.237588 | + | 0.260934i | ||||
\(320\) | −3.21305 | + | 2.06490i | −0.179615 | + | 0.115431i | ||||
\(321\) | −1.76150 | + | 6.70142i | −0.0983171 | + | 0.374037i | ||||
\(322\) | 3.21944 | + | 37.4832i | 0.179412 | + | 2.08886i | ||||
\(323\) | −3.32559 | + | 2.41619i | −0.185041 | + | 0.134440i | ||||
\(324\) | 3.10868 | + | 1.52843i | 0.172704 | + | 0.0849131i | ||||
\(325\) | −0.796077 | + | 27.8663i | −0.0441584 | + | 1.54575i | ||||
\(326\) | 3.24706 | + | 3.34114i | 0.179838 | + | 0.185049i | ||||
\(327\) | 0.0561937 | − | 0.0578220i | 0.00310752 | − | 0.00319756i | ||||
\(328\) | −0.116546 | − | 4.07965i | −0.00643519 | − | 0.225261i | ||||
\(329\) | 18.8627 | − | 41.3035i | 1.03993 | − | 2.27713i | ||||
\(330\) | −10.2120 | + | 1.50954i | −0.562152 | + | 0.0830973i | ||||
\(331\) | 8.95769 | + | 19.6146i | 0.492359 | + | 1.07812i | 0.978878 | + | 0.204446i | \(0.0655393\pi\) |
−0.486519 | + | 0.873670i | \(0.661733\pi\) | |||||||
\(332\) | 4.44497 | − | 2.18545i | 0.243950 | − | 0.119942i | ||||
\(333\) | −7.67254 | + | 14.5411i | −0.420453 | + | 0.796846i | ||||
\(334\) | −1.08783 | − | 5.36863i | −0.0595231 | − | 0.293758i | ||||
\(335\) | 6.13136 | + | 1.06107i | 0.334992 | + | 0.0579727i | ||||
\(336\) | −1.04929 | + | 3.22939i | −0.0572435 | + | 0.176177i | ||||
\(337\) | −6.52943 | + | 16.7707i | −0.355681 | + | 0.913559i | 0.634393 | + | 0.773011i | \(0.281250\pi\) |
−0.990074 | + | 0.140548i | \(0.955114\pi\) | |||||||
\(338\) | −0.902631 | + | 4.45466i | −0.0490967 | + | 0.242302i | ||||
\(339\) | −9.67109 | − | 7.90801i | −0.525261 | − | 0.429504i | ||||
\(340\) | 9.85852 | + | 2.89472i | 0.534653 | + | 0.156988i | ||||
\(341\) | 19.4786 | + | 10.1794i | 1.05482 | + | 0.551248i | ||||
\(342\) | 3.42474 | − | 1.00559i | 0.185189 | − | 0.0543763i | ||||
\(343\) | 12.9023 | + | 5.45257i | 0.696661 | + | 0.294411i | ||||
\(344\) | 5.24237 | − | 2.96050i | 0.282650 | − | 0.159620i | ||||
\(345\) | 27.3722 | + | 6.36514i | 1.47367 | + | 0.342687i | ||||
\(346\) | 6.22924 | − | 0.714739i | 0.334886 | − | 0.0384246i | ||||
\(347\) | −14.3371 | + | 20.9673i | −0.769654 | + | 1.12558i | 0.219052 | + | 0.975713i | \(0.429704\pi\) |
−0.988706 | + | 0.149869i | \(0.952115\pi\) | |||||||
\(348\) | 1.54616 | − | 0.0884124i | 0.0828827 | − | 0.00473940i | ||||
\(349\) | 6.16600 | + | 15.8372i | 0.330058 | + | 0.847748i | 0.994910 | + | 0.100772i | \(0.0321312\pi\) |
−0.664851 | + | 0.746976i | \(0.731505\pi\) | |||||||
\(350\) | 39.3634 | − | 6.81211i | 2.10406 | − | 0.364123i | ||||
\(351\) | 1.79940 | − | 12.5151i | 0.0960448 | − | 0.668006i | ||||
\(352\) | 1.61945 | − | 2.89437i | 0.0863171 | − | 0.154270i | ||||
\(353\) | −0.855060 | − | 5.94708i | −0.0455103 | − | 0.316531i | −0.999842 | − | 0.0177816i | \(-0.994340\pi\) |
0.954332 | − | 0.298749i | \(-0.0965694\pi\) | |||||||
\(354\) | −0.115781 | − | 0.356338i | −0.00615370 | − | 0.0189392i | ||||
\(355\) | −4.51168 | − | 0.257987i | −0.239455 | − | 0.0136926i | ||||
\(356\) | −9.92211 | + | 12.8672i | −0.525871 | + | 0.681961i | ||||
\(357\) | 8.41417 | − | 3.55586i | 0.445325 | − | 0.188196i | ||||
\(358\) | −15.3553 | + | 12.5560i | −0.811552 | + | 0.663603i | ||||
\(359\) | −10.7755 | − | 20.4219i | −0.568710 | − | 1.07782i | −0.985636 | − | 0.168885i | \(-0.945984\pi\) |
0.416926 | − | 0.908940i | \(-0.363107\pi\) | |||||||
\(360\) | −7.21775 | − | 5.24400i | −0.380409 | − | 0.276383i | ||||
\(361\) | −8.60583 | + | 14.2712i | −0.452938 | + | 0.751114i | ||||
\(362\) | −22.9318 | −1.20527 | ||||||||
\(363\) | 7.21024 | − | 5.32625i | 0.378440 | − | 0.279556i | ||||
\(364\) | −12.1157 | −0.635034 | ||||||||
\(365\) | −1.70535 | + | 2.82801i | −0.0892621 | + | 0.148025i | ||||
\(366\) | 3.63760 | + | 2.64287i | 0.190140 | + | 0.138145i | ||||
\(367\) | −2.48144 | − | 4.70285i | −0.129530 | − | 0.245487i | 0.811109 | − | 0.584895i | \(-0.198864\pi\) |
−0.940639 | + | 0.339408i | \(0.889773\pi\) | |||||||
\(368\) | −6.98969 | + | 5.71544i | −0.364363 | + | 0.297938i | ||||
\(369\) | 8.78155 | − | 3.71112i | 0.457149 | − | 0.193193i | ||||
\(370\) | 16.4157 | − | 21.2883i | 0.853411 | − | 1.10672i | ||||
\(371\) | −23.2693 | − | 1.33059i | −1.20808 | − | 0.0690807i | ||||
\(372\) | −1.66876 | − | 5.13592i | −0.0865212 | − | 0.266285i | ||||
\(373\) | −0.500779 | − | 3.48300i | −0.0259294 | − | 0.180343i | 0.972741 | − | 0.231894i | \(-0.0744924\pi\) |
−0.998670 | + | 0.0515517i | \(0.983583\pi\) | |||||||
\(374\) | −8.73750 | + | 1.80647i | −0.451805 | + | 0.0934106i | ||||
\(375\) | 2.03205 | − | 14.1332i | 0.104934 | − | 0.729835i | ||||
\(376\) | 10.7379 | − | 1.85826i | 0.553762 | − | 0.0958324i | ||||
\(377\) | 2.00481 | + | 5.14931i | 0.103253 | + | 0.265203i | ||||
\(378\) | −18.0889 | + | 1.03436i | −0.930393 | + | 0.0532018i | ||||
\(379\) | 11.0271 | − | 16.1267i | 0.566426 | − | 0.828371i | −0.430828 | − | 0.902434i | \(-0.641778\pi\) |
0.997254 | + | 0.0740630i | \(0.0235966\pi\) | |||||||
\(380\) | −5.79805 | + | 0.665264i | −0.297434 | + | 0.0341273i | ||||
\(381\) | 0.237151 | + | 0.0551472i | 0.0121496 | + | 0.00282528i | ||||
\(382\) | −8.41659 | + | 4.75307i | −0.430630 | + | 0.243188i | ||||
\(383\) | −12.3672 | − | 5.22642i | −0.631934 | − | 0.267058i | 0.0496848 | − | 0.998765i | \(-0.484178\pi\) |
−0.681619 | + | 0.731707i | \(0.738724\pi\) | |||||||
\(384\) | −0.781915 | + | 0.229591i | −0.0399019 | + | 0.0117163i | ||||
\(385\) | −41.6700 | + | 32.3961i | −2.12370 | + | 1.65106i | ||||
\(386\) | 21.0606 | + | 6.18395i | 1.07196 | + | 0.314755i | ||||
\(387\) | 10.8871 | + | 8.90230i | 0.553420 | + | 0.452529i | ||||
\(388\) | 0.823182 | − | 4.06256i | 0.0417907 | − | 0.206245i | ||||
\(389\) | −5.68303 | + | 14.5967i | −0.288141 | + | 0.740084i | 0.711172 | + | 0.703018i | \(0.248165\pi\) |
−0.999313 | + | 0.0370658i | \(0.988199\pi\) | |||||||
\(390\) | −2.79668 | + | 8.60729i | −0.141615 | + | 0.435847i | ||||
\(391\) | 23.9337 | + | 4.14189i | 1.21038 | + | 0.209464i | ||||
\(392\) | 2.05773 | + | 10.1553i | 0.103931 | + | 0.512920i | ||||
\(393\) | 5.22479 | − | 9.90208i | 0.263556 | − | 0.499494i | ||||
\(394\) | −14.8310 | + | 7.29192i | −0.747176 | + | 0.367362i | ||||
\(395\) | −20.2459 | − | 44.3324i | −1.01868 | − | 2.23061i | ||||
\(396\) | 7.67274 | + | 1.07220i | 0.385570 | + | 0.0538800i | ||||
\(397\) | −6.50748 | + | 14.2494i | −0.326601 | + | 0.715157i | −0.999702 | − | 0.0243936i | \(-0.992235\pi\) |
0.673101 | + | 0.739550i | \(0.264962\pi\) | |||||||
\(398\) | −0.228457 | − | 7.99704i | −0.0114515 | − | 0.400855i | ||||
\(399\) | −3.61609 | + | 3.72087i | −0.181031 | + | 0.186276i | ||||
\(400\) | 6.68188 | + | 6.87549i | 0.334094 | + | 0.343775i | ||||
\(401\) | −0.264464 | + | 9.25746i | −0.0132067 | + | 0.462295i | 0.965896 | + | 0.258930i | \(0.0833698\pi\) |
−0.979103 | + | 0.203366i | \(0.934812\pi\) | |||||||
\(402\) | 1.19145 | + | 0.585799i | 0.0594244 | + | 0.0292170i | ||||
\(403\) | 15.5885 | − | 11.3257i | 0.776517 | − | 0.564172i | ||||
\(404\) | −1.22135 | − | 14.2199i | −0.0607642 | − | 0.707465i | ||||
\(405\) | 3.36347 | − | 12.7960i | 0.167132 | − | 0.635837i | ||||
\(406\) | 6.66142 | − | 4.28104i | 0.330601 | − | 0.212464i | ||||
\(407\) | −3.88960 | + | 23.0176i | −0.192800 | + | 1.14094i | ||||
\(408\) | 1.84427 | + | 1.18524i | 0.0913050 | + | 0.0586781i | ||||
\(409\) | −12.9720 | + | 11.9056i | −0.641423 | + | 0.588693i | −0.929458 | − | 0.368927i | \(-0.879725\pi\) |
0.288035 | + | 0.957620i | \(0.406998\pi\) | |||||||
\(410\) | −15.1829 | + | 3.53063i | −0.749829 | + | 0.174365i | ||||
\(411\) | −15.2894 | + | 5.45523i | −0.754169 | + | 0.269087i | ||||
\(412\) | 1.83105 | + | 6.96605i | 0.0902095 | + | 0.343193i | ||||
\(413\) | −1.41140 | − | 1.29537i | −0.0694502 | − | 0.0637408i | ||||
\(414\) | −18.3647 | − | 10.3710i | −0.902573 | − | 0.509707i | ||||
\(415\) | −11.5522 | − | 14.9812i | −0.567076 | − | 0.735397i | ||||
\(416\) | −1.64124 | − | 2.40024i | −0.0804684 | − | 0.117681i | ||||
\(417\) | 1.69344 | + | 1.95434i | 0.0829282 | + | 0.0957043i | ||||
\(418\) | 4.17206 | − | 2.87708i | 0.204062 | − | 0.140722i | ||||
\(419\) | 8.87387 | − | 10.2410i | 0.433517 | − | 0.500305i | −0.496390 | − | 0.868099i | \(-0.665342\pi\) |
0.929907 | + | 0.367794i | \(0.119887\pi\) | |||||||
\(420\) | 12.8844 | + | 1.47835i | 0.628694 | + | 0.0721359i | ||||
\(421\) | 6.85448 | + | 2.44567i | 0.334067 | + | 0.119195i | 0.497756 | − | 0.867317i | \(-0.334158\pi\) |
−0.163689 | + | 0.986512i | \(0.552339\pi\) | |||||||
\(422\) | −0.349322 | + | 4.06708i | −0.0170047 | + | 0.197982i | ||||
\(423\) | 13.1451 | + | 21.7987i | 0.639135 | + | 1.05989i | ||||
\(424\) | −2.88856 | − | 4.79013i | −0.140281 | − | 0.232629i | ||||
\(425\) | 2.20715 | − | 25.6974i | 0.107062 | − | 1.24651i | ||||
\(426\) | −0.908143 | − | 0.324025i | −0.0439997 | − | 0.0156991i | ||||
\(427\) | 22.8399 | + | 2.62064i | 1.10530 | + | 0.126822i | ||||
\(428\) | −5.56808 | + | 6.42591i | −0.269143 | + | 0.310608i | ||||
\(429\) | −1.37077 | − | 7.73851i | −0.0661813 | − | 0.373619i | ||||
\(430\) | −15.0583 | − | 17.3782i | −0.726175 | − | 0.838051i | ||||
\(431\) | 2.74775 | + | 4.01845i | 0.132354 | + | 0.193562i | 0.885956 | − | 0.463769i | \(-0.153503\pi\) |
−0.753602 | + | 0.657331i | \(0.771685\pi\) | |||||||
\(432\) | −2.65532 | − | 3.44347i | −0.127754 | − | 0.165674i | ||||
\(433\) | 14.9291 | + | 8.43084i | 0.717446 | + | 0.405161i | 0.806788 | − | 0.590840i | \(-0.201204\pi\) |
−0.0893422 | + | 0.996001i | \(0.528476\pi\) | |||||||
\(434\) | −20.3425 | − | 18.6702i | −0.976471 | − | 0.896197i | ||||
\(435\) | −1.50369 | − | 5.72064i | −0.0720966 | − | 0.274284i | ||||
\(436\) | 0.0931870 | − | 0.0332491i | 0.00446285 | − | 0.00159234i | ||||
\(437\) | −13.4380 | + | 3.12487i | −0.642825 | + | 0.149483i | ||||
\(438\) | −0.519125 | + | 0.476449i | −0.0248048 | + | 0.0227656i | ||||
\(439\) | −14.2158 | − | 9.13592i | −0.678481 | − | 0.436034i | 0.155493 | − | 0.987837i | \(-0.450303\pi\) |
−0.833974 | + | 0.551803i | \(0.813940\pi\) | |||||||
\(440\) | −12.0628 | − | 3.86673i | −0.575071 | − | 0.184339i | ||||
\(441\) | −20.3615 | + | 13.0856i | −0.969596 | + | 0.623122i | ||||
\(442\) | −1.98856 | + | 7.56526i | −0.0945861 | + | 0.359843i | ||||
\(443\) | −0.420941 | − | 4.90093i | −0.0199995 | − | 0.232850i | −0.999506 | − | 0.0314363i | \(-0.989992\pi\) |
0.979506 | − | 0.201414i | \(-0.0645536\pi\) | |||||||
\(444\) | 4.64038 | − | 3.37143i | 0.220223 | − | 0.160001i | ||||
\(445\) | 55.6915 | + | 27.3817i | 2.64003 | + | 1.29802i | ||||
\(446\) | 0.101118 | − | 3.53961i | 0.00478810 | − | 0.167605i | ||||
\(447\) | 11.9825 | + | 12.3297i | 0.566752 | + | 0.583174i | ||||
\(448\) | −2.90395 | + | 2.98810i | −0.137199 | + | 0.141174i | ||||
\(449\) | −0.673717 | − | 23.5832i | −0.0317947 | − | 1.11296i | −0.846268 | − | 0.532757i | \(-0.821156\pi\) |
0.814473 | − | 0.580201i | \(-0.197026\pi\) | |||||||
\(450\) | −9.30338 | + | 20.3716i | −0.438566 | + | 0.960325i | ||||
\(451\) | 10.1948 | − | 8.90473i | 0.480054 | − | 0.419307i | ||||
\(452\) | −6.36824 | − | 13.9445i | −0.299537 | − | 0.655894i | ||||
\(453\) | −1.14620 | + | 0.563546i | −0.0538529 | + | 0.0264777i | ||||
\(454\) | 9.12618 | − | 17.2960i | 0.428313 | − | 0.811743i | ||||
\(455\) | 9.18960 | + | 45.3524i | 0.430815 | + | 2.12616i | ||||
\(456\) | −1.22699 | − | 0.212339i | −0.0574592 | − | 0.00994370i | ||||
\(457\) | 6.96469 | − | 21.4351i | 0.325795 | − | 1.00269i | −0.645286 | − | 0.763941i | \(-0.723262\pi\) |
0.971081 | − | 0.238752i | \(-0.0767382\pi\) | |||||||
\(458\) | −4.89808 | + | 12.5806i | −0.228872 | + | 0.587853i | ||||
\(459\) | −2.32308 | + | 11.4648i | −0.108432 | + | 0.535133i | ||||
\(460\) | 26.6961 | + | 21.8293i | 1.24471 | + | 1.01780i | ||||
\(461\) | −15.7259 | − | 4.61754i | −0.732429 | − | 0.215060i | −0.105810 | − | 0.994386i | \(-0.533744\pi\) |
−0.626619 | + | 0.779326i | \(0.715562\pi\) | |||||||
\(462\) | −10.4783 | + | 4.12739i | −0.487493 | + | 0.192023i | ||||
\(463\) | −35.2125 | + | 10.3393i | −1.63646 | + | 0.480509i | −0.965374 | − | 0.260868i | \(-0.915991\pi\) |
−0.671089 | + | 0.741377i | \(0.734173\pi\) | |||||||
\(464\) | 1.75050 | + | 0.739768i | 0.0812649 | + | 0.0343429i | ||||
\(465\) | −17.9595 | + | 10.1422i | −0.832850 | + | 0.470332i | ||||
\(466\) | 21.4225 | + | 4.98160i | 0.992380 | + | 0.230768i | ||||
\(467\) | 17.1323 | − | 1.96574i | 0.792786 | − | 0.0909637i | 0.291868 | − | 0.956459i | \(-0.405723\pi\) |
0.500918 | + | 0.865495i | \(0.332996\pi\) | |||||||
\(468\) | 3.83377 | − | 5.60671i | 0.177216 | − | 0.259170i | ||||
\(469\) | 6.77737 | − | 0.387544i | 0.312950 | − | 0.0178951i | ||||
\(470\) | −15.1005 | − | 38.7854i | −0.696535 | − | 1.78904i | ||||
\(471\) | −4.90796 | + | 0.849355i | −0.226147 | + | 0.0391362i | ||||
\(472\) | 0.0654317 | − | 0.455087i | 0.00301174 | − | 0.0209471i | ||||
\(473\) | 18.6359 | + | 7.17082i | 0.856880 | + | 0.329715i | ||||
\(474\) | −1.47990 | − | 10.2930i | −0.0679742 | − | 0.472771i | ||||
\(475\) | 4.52709 | + | 13.9330i | 0.207717 | + | 0.639288i | ||||
\(476\) | 11.1909 | + | 0.639921i | 0.512936 | + | 0.0293307i | ||||
\(477\) | 7.97887 | − | 10.3472i | 0.365327 | − | 0.473765i | ||||
\(478\) | 18.8132 | − | 7.95053i | 0.860497 | − | 0.363649i | ||||
\(479\) | −11.9834 | + | 9.79879i | −0.547536 | + | 0.447718i | −0.865876 | − | 0.500258i | \(-0.833238\pi\) |
0.318340 | + | 0.947977i | \(0.396875\pi\) | |||||||
\(480\) | 1.45250 | + | 2.75279i | 0.0662972 | + | 0.125647i | ||||
\(481\) | 16.5572 | + | 12.0295i | 0.754945 | + | 0.548500i | ||||
\(482\) | 11.4747 | − | 19.0287i | 0.522659 | − | 0.866732i | ||||
\(483\) | 30.6585 | 1.39501 | ||||||||
\(484\) | 10.8237 | − | 1.96148i | 0.491987 | − | 0.0891580i | ||||
\(485\) | −15.8317 | −0.718881 | ||||||||
\(486\) | 8.19423 | − | 13.5886i | 0.371698 | − | 0.616391i | ||||
\(487\) | 9.89107 | + | 7.18628i | 0.448207 | + | 0.325642i | 0.788888 | − | 0.614538i | \(-0.210657\pi\) |
−0.340680 | + | 0.940179i | \(0.610657\pi\) | |||||||
\(488\) | 2.57482 | + | 4.87983i | 0.116557 | + | 0.220899i | ||||
\(489\) | 2.93923 | − | 2.40340i | 0.132917 | − | 0.108686i | ||||
\(490\) | 36.4534 | − | 15.4053i | 1.64680 | − | 0.695942i | ||||
\(491\) | 12.1097 | − | 15.7041i | 0.546503 | − | 0.708717i | −0.434943 | − | 0.900458i | \(-0.643231\pi\) |
0.981446 | + | 0.191741i | \(0.0614132\pi\) | |||||||
\(492\) | −3.32054 | − | 0.189875i | −0.149702 | − | 0.00856024i | ||||
\(493\) | −1.57982 | − | 4.86217i | −0.0711513 | − | 0.218981i | ||||
\(494\) | −0.632316 | − | 4.39785i | −0.0284492 | − | 0.197869i | ||||
\(495\) | −1.80614 | − | 29.5345i | −0.0811799 | − | 1.32748i | ||||
\(496\) | 0.943070 | − | 6.55919i | 0.0423451 | − | 0.294517i | ||||
\(497\) | −4.85786 | + | 0.840686i | −0.217905 | + | 0.0377099i | ||||
\(498\) | −1.46446 | − | 3.76144i | −0.0656241 | − | 0.168554i | ||||
\(499\) | 31.6591 | − | 1.81033i | 1.41726 | − | 0.0810417i | 0.668414 | − | 0.743789i | \(-0.266973\pi\) |
0.748843 | + | 0.662748i | \(0.230610\pi\) | |||||||
\(500\) | 9.88976 | − | 14.4633i | 0.442284 | − | 0.646819i | ||||
\(501\) | −4.43484 | + | 0.508851i | −0.198134 | + | 0.0227338i | ||||
\(502\) | −1.83465 | − | 0.426630i | −0.0818845 | − | 0.0190414i | ||||
\(503\) | 30.8815 | − | 17.4396i | 1.37694 | − | 0.777594i | 0.387408 | − | 0.921908i | \(-0.373370\pi\) |
0.989532 | + | 0.144314i | \(0.0460977\pi\) | |||||||
\(504\) | −8.96535 | − | 3.78879i | −0.399348 | − | 0.168766i | ||||
\(505\) | −52.3027 | + | 15.3575i | −2.32744 | + | 0.683398i | ||||
\(506\) | −29.3725 | − | 5.83072i | −1.30577 | − | 0.259207i | ||||
\(507\) | 3.55395 | + | 1.04353i | 0.157837 | + | 0.0463450i | ||||
\(508\) | 0.231294 | + | 0.189128i | 0.0102620 | + | 0.00839120i | ||||
\(509\) | −1.72902 | + | 8.53304i | −0.0766373 | + | 0.378220i | −0.999983 | − | 0.00574845i | \(-0.998170\pi\) |
0.923346 | + | 0.383969i | \(0.125443\pi\) | |||||||
\(510\) | 3.03784 | − | 7.80262i | 0.134518 | − | 0.345506i | ||||
\(511\) | −1.11331 | + | 3.42643i | −0.0492501 | + | 0.151576i | ||||
\(512\) | −0.985354 | − | 0.170522i | −0.0435469 | − | 0.00753609i | ||||
\(513\) | −1.31952 | − | 6.51208i | −0.0582582 | − | 0.287515i | ||||
\(514\) | −7.72545 | + | 14.6414i | −0.340755 | + | 0.645803i | ||||
\(515\) | 24.6871 | − | 12.1378i | 1.08784 | − | 0.534856i | ||||
\(516\) | −2.03815 | − | 4.46293i | −0.0897246 | − | 0.196470i | ||||
\(517\) | 27.4083 | + | 23.5602i | 1.20542 | + | 1.03618i | ||||
\(518\) | 12.1831 | − | 26.6772i | 0.535293 | − | 1.17213i | ||||
\(519\) | −0.145912 | − | 5.10759i | −0.00640483 | − | 0.224198i | ||||
\(520\) | −7.73991 | + | 7.96418i | −0.339418 | + | 0.349253i | ||||
\(521\) | −4.55085 | − | 4.68272i | −0.199377 | − | 0.205154i | 0.610069 | − | 0.792348i | \(-0.291142\pi\) |
−0.809446 | + | 0.587194i | \(0.800232\pi\) | |||||||
\(522\) | −0.126764 | + | 4.43732i | −0.00554831 | + | 0.194216i | ||||
\(523\) | 6.32008 | + | 3.10737i | 0.276358 | + | 0.135876i | 0.574138 | − | 0.818758i | \(-0.305337\pi\) |
−0.297780 | + | 0.954634i | \(0.596246\pi\) | |||||||
\(524\) | 11.1148 | − | 8.07537i | 0.485552 | − | 0.352774i | ||||
\(525\) | −2.78590 | − | 32.4356i | −0.121587 | − | 1.41561i | ||||
\(526\) | 6.34492 | − | 24.1386i | 0.276652 | − | 1.05249i | ||||
\(527\) | −14.9969 | + | 9.63790i | −0.653273 | + | 0.419833i | ||||
\(528\) | −2.23711 | − | 1.51674i | −0.0973576 | − | 0.0660075i | ||||
\(529\) | 49.2319 | + | 31.6394i | 2.14052 | + | 1.37563i | ||||
\(530\) | −15.7399 | + | 14.4460i | −0.683698 | + | 0.627492i | ||||
\(531\) | 1.04606 | − | 0.243250i | 0.0453951 | − | 0.0105562i | ||||
\(532\) | −5.99662 | + | 2.13959i | −0.259987 | + | 0.0927630i | ||||
\(533\) | −3.01688 | − | 11.4774i | −0.130676 | − | 0.497142i | ||||
\(534\) | 9.75542 | + | 8.95344i | 0.422158 | + | 0.387453i | ||||
\(535\) | 28.2773 | + | 15.9690i | 1.22254 | + | 0.690398i | ||||
\(536\) | 0.994868 | + | 1.29017i | 0.0429717 | + | 0.0557267i | ||||
\(537\) | 9.12380 | + | 13.3431i | 0.393721 | + | 0.575798i | ||||
\(538\) | −1.41478 | − | 1.63275i | −0.0609956 | − | 0.0703927i | ||||
\(539\) | −21.6485 | + | 26.6899i | −0.932467 | + | 1.14961i | ||||
\(540\) | −10.8759 | + | 12.5514i | −0.468023 | + | 0.540128i | ||||
\(541\) | 7.99817 | + | 0.917704i | 0.343868 | + | 0.0394552i | 0.284205 | − | 0.958763i | \(-0.408270\pi\) |
0.0596626 | + | 0.998219i | \(0.480998\pi\) | |||||||
\(542\) | 5.59073 | + | 1.99477i | 0.240142 | + | 0.0856826i | ||||
\(543\) | −1.59920 | + | 18.6191i | −0.0686282 | + | 0.799023i | ||||
\(544\) | 1.38920 | + | 2.30372i | 0.0595613 | + | 0.0987714i | ||||
\(545\) | −0.195142 | − | 0.323607i | −0.00835896 | − | 0.0138618i | ||||
\(546\) | −0.844914 | + | 9.83716i | −0.0361590 | + | 0.420991i | ||||
\(547\) | −32.3963 | − | 11.5590i | −1.38517 | − | 0.494226i | −0.464846 | − | 0.885392i | \(-0.653890\pi\) |
−0.920320 | + | 0.391165i | \(0.872072\pi\) | |||||||
\(548\) | −19.7903 | − | 2.27072i | −0.845400 | − | 0.0970006i | ||||
\(549\) | −8.43999 | + | 9.74027i | −0.360210 | + | 0.415704i | ||||
\(550\) | −3.49966 | + | 31.6049i | −0.149226 | + | 1.34764i | ||||
\(551\) | 1.90163 | + | 2.19459i | 0.0810120 | + | 0.0934928i | ||||
\(552\) | 4.15313 | + | 6.07376i | 0.176769 | + | 0.258516i | ||||
\(553\) | −32.4677 | − | 42.1049i | −1.38067 | − | 1.79048i | ||||
\(554\) | −5.69864 | − | 3.21817i | −0.242112 | − | 0.136727i | ||||
\(555\) | −16.1399 | − | 14.8131i | −0.685101 | − | 0.628780i | ||||
\(556\) | 0.806697 | + | 3.06899i | 0.0342116 | + | 0.130154i | ||||
\(557\) | 24.1451 | − | 8.61497i | 1.02306 | − | 0.365028i | 0.229365 | − | 0.973340i | \(-0.426335\pi\) |
0.793698 | + | 0.608313i | \(0.208153\pi\) | |||||||
\(558\) | 15.0769 | − | 3.50598i | 0.638255 | − | 0.148420i | ||||
\(559\) | 12.8974 | − | 11.8372i | 0.545503 | − | 0.500658i | ||||
\(560\) | 13.3879 | + | 8.60389i | 0.565743 | + | 0.363581i | ||||
\(561\) | 0.857413 | + | 7.22027i | 0.0362000 | + | 0.304840i | ||||
\(562\) | −7.89288 | + | 5.07245i | −0.332941 | + | 0.213968i | ||||
\(563\) | −11.4816 | + | 43.6807i | −0.483893 | + | 1.84092i | 0.0549139 | + | 0.998491i | \(0.482512\pi\) |
−0.538807 | + | 0.842429i | \(0.681125\pi\) | |||||||
\(564\) | −0.759959 | − | 8.84804i | −0.0320000 | − | 0.372570i | ||||
\(565\) | −47.3680 | + | 34.4149i | −1.99279 | + | 1.44784i | ||||
\(566\) | 11.5579 | + | 5.68266i | 0.485817 | + | 0.238860i | ||||
\(567\) | 0.412178 | − | 14.4281i | 0.0173098 | − | 0.605923i | ||||
\(568\) | −0.824615 | − | 0.848509i | −0.0346001 | − | 0.0356026i | ||||
\(569\) | 6.74283 | − | 6.93821i | 0.282674 | − | 0.290865i | −0.560893 | − | 0.827888i | \(-0.689542\pi\) |
0.843567 | + | 0.537023i | \(0.180451\pi\) | |||||||
\(570\) | 0.135812 | + | 4.75404i | 0.00568854 | + | 0.199125i | ||||
\(571\) | 3.52467 | − | 7.71796i | 0.147503 | − | 0.322986i | −0.821430 | − | 0.570309i | \(-0.806823\pi\) |
0.968933 | + | 0.247323i | \(0.0795507\pi\) | |||||||
\(572\) | 2.68033 | − | 9.26384i | 0.112070 | − | 0.387341i | ||||
\(573\) | 3.27224 | + | 7.16520i | 0.136700 | + | 0.299331i | ||||
\(574\) | −15.2609 | + | 7.50329i | −0.636979 | + | 0.313181i | ||||
\(575\) | 40.3971 | − | 76.5610i | 1.68467 | − | 3.19281i | ||||
\(576\) | −0.463887 | − | 2.28937i | −0.0193286 | − | 0.0953905i | ||||
\(577\) | −34.0711 | − | 5.89624i | −1.41840 | − | 0.245464i | −0.590816 | − | 0.806806i | \(-0.701194\pi\) |
−0.827583 | + | 0.561343i | \(0.810285\pi\) | |||||||
\(578\) | −3.01693 | + | 9.28515i | −0.125488 | + | 0.386211i | ||||
\(579\) | 6.48968 | − | 16.6686i | 0.269702 | − | 0.692723i | ||||
\(580\) | 1.44143 | − | 7.11373i | 0.0598520 | − | 0.295381i | ||||
\(581\) | −15.9772 | − | 13.0645i | −0.662845 | − | 0.542005i | ||||
\(582\) | −3.24114 | − | 0.951683i | −0.134349 | − | 0.0394485i | ||||
\(583\) | 6.16522 | − | 17.4977i | 0.255337 | − | 0.724682i | ||||
\(584\) | −0.829623 | + | 0.243599i | −0.0343301 | + | 0.0100802i | ||||
\(585\) | −23.8954 | − | 10.0983i | −0.987952 | − | 0.417512i | ||||
\(586\) | −7.35491 | + | 4.15351i | −0.303829 | + | 0.171580i | ||||
\(587\) | −14.7931 | − | 3.44000i | −0.610578 | − | 0.141984i | −0.0902055 | − | 0.995923i | \(-0.528752\pi\) |
−0.520373 | + | 0.853939i | \(0.674207\pi\) | |||||||
\(588\) | 8.38895 | − | 0.962542i | 0.345954 | − | 0.0396946i | ||||
\(589\) | 5.71539 | − | 8.35849i | 0.235498 | − | 0.344406i | ||||
\(590\) | −1.75315 | + | 0.100249i | −0.0721761 | + | 0.00412718i | ||||
\(591\) | 4.88630 | + | 12.5504i | 0.200996 | + | 0.516253i | ||||
\(592\) | 6.93538 | − | 1.20022i | 0.285042 | − | 0.0493285i | ||||
\(593\) | 1.25130 | − | 8.70297i | 0.0513847 | − | 0.357388i | −0.947866 | − | 0.318671i | \(-0.896764\pi\) |
0.999250 | − | 0.0387177i | \(-0.0123273\pi\) | |||||||
\(594\) | 3.21089 | − | 14.0599i | 0.131744 | − | 0.576884i | ||||
\(595\) | −6.09279 | − | 42.3763i | −0.249780 | − | 1.73726i | ||||
\(596\) | 6.51954 | + | 20.0651i | 0.267051 | + | 0.821898i | ||||
\(597\) | −6.50901 | − | 0.372199i | −0.266396 | − | 0.0152331i | ||||
\(598\) | −16.0317 | + | 20.7903i | −0.655586 | + | 0.850179i | ||||
\(599\) | −9.87706 | + | 4.17408i | −0.403566 | + | 0.170548i | −0.581598 | − | 0.813476i | \(-0.697572\pi\) |
0.178032 | + | 0.984025i | \(0.443027\pi\) | |||||||
\(600\) | 6.04844 | − | 4.94578i | 0.246926 | − | 0.201911i | ||||
\(601\) | −17.0253 | − | 32.2665i | −0.694476 | − | 1.31618i | −0.938119 | − | 0.346314i | \(-0.887433\pi\) |
0.243642 | − | 0.969865i | \(-0.421658\pi\) | |||||||
\(602\) | −20.2950 | − | 14.7452i | −0.827164 | − | 0.600970i | ||||
\(603\) | −1.96522 | + | 3.25896i | −0.0800301 | + | 0.132715i | ||||
\(604\) | −1.56731 | −0.0637730 | ||||||||
\(605\) | −15.5520 | − | 39.0285i | −0.632279 | − | 1.58673i | ||||
\(606\) | −11.6308 | −0.472469 | ||||||||
\(607\) | 0.851372 | − | 1.41184i | 0.0345561 | − | 0.0573049i | −0.838592 | − | 0.544761i | \(-0.816620\pi\) |
0.873148 | + | 0.487456i | \(0.162075\pi\) | |||||||
\(608\) | −1.23620 | − | 0.898153i | −0.0501346 | − | 0.0364249i | ||||
\(609\) | −3.01138 | − | 5.70720i | −0.122027 | − | 0.231267i | ||||
\(610\) | 16.3136 | − | 13.3396i | 0.660519 | − | 0.540103i | ||||
\(611\) | 29.1874 | − | 12.3347i | 1.18080 | − | 0.499008i | ||||
\(612\) | −3.83729 | + | 4.97628i | −0.155113 | + | 0.201154i | ||||
\(613\) | 19.4348 | + | 1.11132i | 0.784965 | + | 0.0448859i | 0.444975 | − | 0.895543i | \(-0.353213\pi\) |
0.339990 | + | 0.940429i | \(0.389576\pi\) | |||||||
\(614\) | 6.89210 | + | 21.2117i | 0.278143 | + | 0.856035i | ||||
\(615\) | 1.80783 | + | 12.5738i | 0.0728988 | + | 0.507023i | ||||
\(616\) | −13.7734 | − | 1.12810i | −0.554945 | − | 0.0454526i | ||||
\(617\) | −3.23867 | + | 22.5255i | −0.130384 | + | 0.906841i | 0.814669 | + | 0.579926i | \(0.196918\pi\) |
−0.945053 | + | 0.326916i | \(0.893991\pi\) | |||||||
\(618\) | 5.78368 | − | 1.00091i | 0.232654 | − | 0.0402623i | ||||
\(619\) | 0.686098 | + | 1.76223i | 0.0275766 | + | 0.0708299i | 0.944979 | − | 0.327131i | \(-0.106082\pi\) |
−0.917403 | + | 0.397961i | \(0.869718\pi\) | |||||||
\(620\) | −25.2682 | + | 1.44489i | −1.01480 | + | 0.0580282i | ||||
\(621\) | −22.1607 | + | 32.4090i | −0.889277 | + | 1.30053i | ||||
\(622\) | −10.0965 | + | 1.15846i | −0.404831 | + | 0.0464501i | ||||
\(623\) | 65.9437 | + | 15.3345i | 2.64198 | + | 0.614366i | ||||
\(624\) | −2.06330 | + | 1.16520i | −0.0825979 | + | 0.0466452i | ||||
\(625\) | −17.4853 | − | 7.38933i | −0.699410 | − | 0.295573i | ||||
\(626\) | −15.2884 | + | 4.48907i | −0.611046 | + | 0.179419i | ||||
\(627\) | −2.04505 | − | 3.58808i | −0.0816716 | − | 0.143294i | ||||
\(628\) | −5.86452 | − | 1.72198i | −0.234020 | − | 0.0687144i | ||||
\(629\) | −14.6581 | − | 11.9859i | −0.584458 | − | 0.477909i | ||||
\(630\) | −7.38241 | + | 36.4336i | −0.294122 | + | 1.45155i | ||||
\(631\) | 5.83387 | − | 14.9842i | 0.232243 | − | 0.596510i | −0.766723 | − | 0.641978i | \(-0.778114\pi\) |
0.998966 | + | 0.0454676i | \(0.0144778\pi\) | |||||||
\(632\) | 3.94319 | − | 12.1359i | 0.156852 | − | 0.482740i | ||||
\(633\) | 3.27785 | + | 0.567254i | 0.130283 | + | 0.0225463i | ||||
\(634\) | 4.54123 | + | 22.4118i | 0.180355 | + | 0.890088i | ||||
\(635\) | 0.532527 | − | 1.00925i | 0.0211327 | − | 0.0400509i | ||||
\(636\) | −4.09072 | + | 2.01127i | −0.162208 | + | 0.0797522i | ||||
\(637\) | 12.5159 | + | 27.4061i | 0.495900 | + | 1.08587i | ||||
\(638\) | 1.79965 | + | 6.04052i | 0.0712489 | + | 0.239146i | ||||
\(639\) | 1.14814 | − | 2.51407i | 0.0454195 | − | 0.0994549i | ||||
\(640\) | 0.109066 | + | 3.81780i | 0.00431120 | + | 0.150912i | ||||
\(641\) | 4.94063 | − | 5.08379i | 0.195143 | − | 0.200798i | −0.612498 | − | 0.790473i | \(-0.709835\pi\) |
0.807641 | + | 0.589675i | \(0.200744\pi\) | |||||||
\(642\) | 4.82913 | + | 4.96905i | 0.190590 | + | 0.196113i | ||||
\(643\) | 0.378040 | − | 13.2331i | 0.0149084 | − | 0.521863i | −0.957481 | − | 0.288498i | \(-0.906844\pi\) |
0.972389 | − | 0.233366i | \(-0.0749739\pi\) | |||||||
\(644\) | 33.7613 | + | 16.5993i | 1.33038 | + | 0.654104i | ||||
\(645\) | −15.1601 | + | 11.0145i | −0.596929 | + | 0.433694i | ||||
\(646\) | 0.351770 | + | 4.09558i | 0.0138402 | + | 0.161138i | ||||
\(647\) | −1.73695 | + | 6.60805i | −0.0682866 | + | 0.259789i | −0.992528 | − | 0.122020i | \(-0.961063\pi\) |
0.924241 | + | 0.381810i | \(0.124699\pi\) | |||||||
\(648\) | 2.91419 | − | 1.87283i | 0.114480 | − | 0.0735719i | ||||
\(649\) | 1.30270 | − | 0.792603i | 0.0511354 | − | 0.0311124i | ||||
\(650\) | 23.4522 | + | 15.0718i | 0.919871 | + | 0.591166i | ||||
\(651\) | −16.5776 | + | 15.2148i | −0.649728 | + | 0.596315i | ||||
\(652\) | 4.53795 | − | 1.05526i | 0.177720 | − | 0.0413270i | ||||
\(653\) | 11.5027 | − | 4.10417i | 0.450137 | − | 0.160609i | −0.101245 | − | 0.994862i | \(-0.532283\pi\) |
0.551382 | + | 0.834253i | \(0.314101\pi\) | |||||||
\(654\) | −0.0204975 | − | 0.0779806i | −0.000801516 | − | 0.00304928i | ||||
\(655\) | −38.6588 | − | 35.4808i | −1.51053 | − | 1.38635i | ||||
\(656\) | −3.55379 | − | 2.00692i | −0.138752 | − | 0.0783569i | ||||
\(657\) | −1.23334 | − | 1.59943i | −0.0481173 | − | 0.0623996i | ||||
\(658\) | −25.6296 | − | 37.4820i | −0.999144 | − | 1.46120i | ||||
\(659\) | −13.1669 | − | 15.1954i | −0.512909 | − | 0.591929i | 0.438932 | − | 0.898520i | \(-0.355357\pi\) |
−0.951841 | + | 0.306591i | \(0.900811\pi\) | |||||||
\(660\) | −3.98076 | + | 9.52456i | −0.154951 | + | 0.370743i | ||||
\(661\) | 8.67021 | − | 10.0060i | 0.337232 | − | 0.389186i | −0.561652 | − | 0.827374i | \(-0.689834\pi\) |
0.898884 | + | 0.438187i | \(0.144379\pi\) | |||||||
\(662\) | 21.4227 | + | 2.45802i | 0.832616 | + | 0.0955338i | ||||
\(663\) | 6.00383 | + | 2.14216i | 0.233170 | + | 0.0831948i | ||||
\(664\) | 0.423868 | − | 4.93501i | 0.0164493 | − | 0.191515i | ||||
\(665\) | 12.5575 | + | 20.8242i | 0.486958 | + | 0.807528i | ||||
\(666\) | 8.49016 | + | 14.0793i | 0.328987 | + | 0.545564i | ||||
\(667\) | 1.46835 | − | 17.0957i | 0.0568546 | − | 0.661947i | ||||
\(668\) | −5.15917 | − | 1.84079i | −0.199614 | − | 0.0712222i | ||||
\(669\) | −2.86688 | − | 0.328944i | −0.110840 | − | 0.0127177i | ||||
\(670\) | 4.07487 | − | 4.70265i | 0.157426 | − | 0.181679i | ||||
\(671\) | −7.05663 | + | 16.8840i | −0.272418 | + | 0.651801i | ||||
\(672\) | 2.22363 | + | 2.56621i | 0.0857784 | + | 0.0989935i | ||||
\(673\) | 15.2104 | + | 22.2445i | 0.586319 | + | 0.857464i | 0.998562 | − | 0.0536102i | \(-0.0170728\pi\) |
−0.412243 | + | 0.911074i | \(0.635255\pi\) | |||||||
\(674\) | 10.9898 | + | 14.2518i | 0.423311 | + | 0.548960i | ||||
\(675\) | 36.3013 | + | 20.5003i | 1.39724 | + | 0.789056i | ||||
\(676\) | 3.34863 | + | 3.07334i | 0.128793 | + | 0.118205i | ||||
\(677\) | 11.9153 | + | 45.3306i | 0.457943 | + | 1.74220i | 0.649162 | + | 0.760650i | \(0.275120\pi\) |
−0.191219 | + | 0.981547i | \(0.561244\pi\) | |||||||
\(678\) | −11.7661 | + | 4.19815i | −0.451876 | + | 0.161229i | ||||
\(679\) | −16.8228 | + | 3.91197i | −0.645599 | + | 0.150128i | ||||
\(680\) | 7.56981 | − | 6.94751i | 0.290289 | − | 0.266425i | ||||
\(681\) | −13.4068 | − | 8.61605i | −0.513751 | − | 0.330168i | ||||
\(682\) | 18.7759 | − | 11.4238i | 0.718965 | − | 0.437441i | ||||
\(683\) | −35.8405 | + | 23.0333i | −1.37140 | + | 0.881344i | −0.998909 | − | 0.0466922i | \(-0.985132\pi\) |
−0.372489 | + | 0.928037i | \(0.621496\pi\) | |||||||
\(684\) | 0.907386 | − | 3.45206i | 0.0346948 | − | 0.131993i | ||||
\(685\) | 6.51073 | + | 75.8030i | 0.248762 | + | 2.89629i | ||||
\(686\) | 11.3320 | − | 8.23321i | 0.432659 | − | 0.314345i | ||||
\(687\) | 9.87307 | + | 4.85426i | 0.376681 | + | 0.185202i | ||||
\(688\) | 0.171923 | − | 6.01810i | 0.00655451 | − | 0.229438i | ||||
\(689\) | −11.3356 | − | 11.6640i | −0.431850 | − | 0.444363i | ||||
\(690\) | 19.5857 | − | 20.1532i | 0.745616 | − | 0.767220i | ||||
\(691\) | 0.0635560 | + | 2.22475i | 0.00241778 | + | 0.0846335i | 0.999905 | + | 0.0137863i | \(0.00438845\pi\) |
−0.997487 | + | 0.0708472i | \(0.977430\pi\) | |||||||
\(692\) | 2.60470 | − | 5.70349i | 0.0990158 | − | 0.216814i | ||||
\(693\) | −9.21709 | − | 30.9371i | −0.350128 | − | 1.17520i | ||||
\(694\) | 10.5517 | + | 23.1050i | 0.400537 | + | 0.877053i | ||||
\(695\) | 10.8763 | − | 5.34749i | 0.412560 | − | 0.202842i | ||||
\(696\) | 0.722719 | − | 1.36971i | 0.0273946 | − | 0.0519185i | ||||
\(697\) | 2.18041 | + | 10.7607i | 0.0825889 | + | 0.407592i | ||||
\(698\) | 16.7463 | + | 2.89806i | 0.633857 | + | 0.109693i | ||||
\(699\) | 5.53869 | − | 17.0463i | 0.209492 | − | 0.644751i | ||||
\(700\) | 14.4936 | − | 37.2266i | 0.547808 | − | 1.40703i | ||||
\(701\) | 0.285311 | − | 1.40806i | 0.0107760 | − | 0.0531818i | −0.974334 | − | 0.225108i | \(-0.927726\pi\) |
0.985110 | + | 0.171926i | \(0.0549991\pi\) | |||||||
\(702\) | −9.78808 | − | 8.00368i | −0.369427 | − | 0.302079i | ||||
\(703\) | 10.3193 | + | 3.03003i | 0.389201 | + | 0.114280i | ||||
\(704\) | −1.64231 | − | 2.88146i | −0.0618969 | − | 0.108599i | ||||
\(705\) | −32.5443 | + | 9.55587i | −1.22569 | + | 0.359895i | ||||
\(706\) | −5.53432 | − | 2.33882i | −0.208287 | − | 0.0880228i | ||||
\(707\) | −51.7820 | + | 29.2427i | −1.94746 | + | 1.09978i | ||||
\(708\) | −0.364939 | − | 0.0848629i | −0.0137152 | − | 0.00318934i | ||||
\(709\) | 32.0526 | − | 3.67769i | 1.20376 | − | 0.138119i | 0.511189 | − | 0.859468i | \(-0.329205\pi\) |
0.692571 | + | 0.721350i | \(0.256478\pi\) | |||||||
\(710\) | −2.55075 | + | 3.73035i | −0.0957279 | + | 0.139998i | ||||
\(711\) | 29.7584 | − | 1.70165i | 1.11603 | − | 0.0638168i | ||||
\(712\) | 5.89508 | + | 15.1414i | 0.220927 | + | 0.567448i | ||||
\(713\) | −58.9554 | + | 10.2026i | −2.20790 | + | 0.382092i | ||||
\(714\) | 1.30000 | − | 9.04170i | 0.0486513 | − | 0.338377i | ||||
\(715\) | −36.7102 | − | 3.00674i | −1.37288 | − | 0.112446i | ||||
\(716\) | 2.82285 | + | 19.6333i | 0.105495 | + | 0.733733i | ||||
\(717\) | −5.14334 | − | 15.8296i | −0.192082 | − | 0.591167i | ||||
\(718\) | −23.0527 | − | 1.31820i | −0.860319 | − | 0.0491948i | ||||
\(719\) | 0.619451 | − | 0.803318i | 0.0231016 | − | 0.0299587i | −0.780210 | − | 0.625518i | \(-0.784888\pi\) |
0.803311 | + | 0.595559i | \(0.203070\pi\) | |||||||
\(720\) | −8.21792 | + | 3.47292i | −0.306264 | + | 0.129428i | ||||
\(721\) | 23.2333 | − | 18.9977i | 0.865252 | − | 0.707513i | ||||
\(722\) | 7.77707 | + | 14.7392i | 0.289433 | + | 0.548536i | ||||
\(723\) | −14.6498 | − | 10.6437i | −0.544834 | − | 0.395845i | ||||
\(724\) | −11.8419 | + | 19.6376i | −0.440101 | + | 0.729826i | ||||
\(725\) | −18.2200 | −0.676675 | ||||||||
\(726\) | −0.837778 | − | 8.92495i | −0.0310928 | − | 0.331236i | ||||
\(727\) | −1.03011 | −0.0382047 | −0.0191023 | − | 0.999818i | \(-0.506081\pi\) | ||||
−0.0191023 | + | 0.999818i | \(0.506081\pi\) | |||||||
\(728\) | −6.25650 | + | 10.3752i | −0.231881 | + | 0.384532i | ||||
\(729\) | −2.05408 | − | 1.49237i | −0.0760769 | − | 0.0552731i | ||||
\(730\) | 1.54112 | + | 2.92075i | 0.0570395 | + | 0.108102i | ||||
\(731\) | −12.5382 | + | 10.2525i | −0.463744 | + | 0.379201i | ||||
\(732\) | 4.14167 | − | 1.75028i | 0.153080 | − | 0.0646923i | ||||
\(733\) | −15.5766 | + | 20.2002i | −0.575337 | + | 0.746110i | −0.986195 | − | 0.165590i | \(-0.947047\pi\) |
0.410858 | + | 0.911699i | \(0.365229\pi\) | |||||||
\(734\) | −5.30869 | − | 0.303562i | −0.195947 | − | 0.0112047i | ||||
\(735\) | −9.96598 | − | 30.6721i | −0.367601 | − | 1.13136i | ||||
\(736\) | 1.28495 | + | 8.93705i | 0.0473641 | + | 0.329424i | ||||
\(737\) | −1.20302 | + | 5.26782i | −0.0443140 | + | 0.194043i | ||||
\(738\) | 1.35676 | − | 9.43649i | 0.0499431 | − | 0.347362i | ||||
\(739\) | −27.5663 | + | 4.77053i | −1.01404 | + | 0.175487i | −0.653236 | − | 0.757154i | \(-0.726589\pi\) |
−0.360805 | + | 0.932641i | \(0.617498\pi\) | |||||||
\(740\) | −9.75315 | − | 25.0508i | −0.358533 | − | 0.920884i | ||||
\(741\) | −3.61487 | + | 0.206706i | −0.132796 | + | 0.00759353i | ||||
\(742\) | −13.1557 | + | 19.2395i | −0.482960 | + | 0.706306i | ||||
\(743\) | −12.0681 | + | 1.38468i | −0.442734 | + | 0.0507990i | −0.332493 | − | 0.943106i | \(-0.607890\pi\) |
−0.110241 | + | 0.993905i | \(0.535162\pi\) | |||||||
\(744\) | −5.25988 | − | 1.22313i | −0.192837 | − | 0.0448422i | ||||
\(745\) | 70.1644 | − | 39.6237i | 2.57062 | − | 1.45170i | ||||
\(746\) | −3.24126 | − | 1.36977i | −0.118671 | − | 0.0501508i | ||||
\(747\) | 11.1014 | − | 3.25968i | 0.406180 | − | 0.119265i | ||||
\(748\) | −2.96505 | + | 8.41520i | −0.108413 | + | 0.307690i | ||||
\(749\) | 33.9934 | + | 9.98136i | 1.24209 | + | 0.364711i | ||||
\(750\) | −11.0536 | − | 9.03849i | −0.403620 | − | 0.330039i | ||||
\(751\) | −7.59490 | + | 37.4823i | −0.277142 | + | 1.36775i | 0.563482 | + | 0.826128i | \(0.309462\pi\) |
−0.840624 | + | 0.541620i | \(0.817811\pi\) | |||||||
\(752\) | 3.95368 | − | 10.1549i | 0.144176 | − | 0.370313i | ||||
\(753\) | −0.474340 | + | 1.45987i | −0.0172859 | + | 0.0532005i | ||||
\(754\) | 5.44488 | + | 0.942274i | 0.198291 | + | 0.0343156i | ||||
\(755\) | 1.18879 | + | 5.86690i | 0.0432644 | + | 0.213518i | ||||
\(756\) | −8.45529 | + | 16.0246i | −0.307516 | + | 0.582807i | ||||
\(757\) | 11.5374 | − | 5.67255i | 0.419334 | − | 0.206172i | −0.219343 | − | 0.975648i | \(-0.570391\pi\) |
0.638676 | + | 0.769475i | \(0.279482\pi\) | |||||||
\(758\) | −8.11567 | − | 17.7708i | −0.294774 | − | 0.645466i | ||||
\(759\) | −6.78253 | + | 23.4420i | −0.246190 | + | 0.850891i | ||||
\(760\) | −2.42440 | + | 5.30870i | −0.0879422 | + | 0.192567i | ||||
\(761\) | −0.319913 | − | 11.1984i | −0.0115969 | − | 0.405943i | −0.984567 | − | 0.175010i | \(-0.944004\pi\) |
0.972970 | − | 0.230933i | \(-0.0741777\pi\) | |||||||
\(762\) | 0.169690 | − | 0.174607i | 0.00614721 | − | 0.00632533i | ||||
\(763\) | −0.287320 | − | 0.295645i | −0.0104017 | − | 0.0107031i | ||||
\(764\) | −0.276021 | + | 9.66201i | −0.00998611 | + | 0.349559i | ||||
\(765\) | 21.5382 | + | 10.5896i | 0.778714 | + | 0.382868i | ||||
\(766\) | −10.8620 | + | 7.89173i | −0.392461 | + | 0.285140i | ||||
\(767\) | −0.114403 | − | 1.33197i | −0.00413085 | − | 0.0480946i | ||||
\(768\) | −0.207169 | + | 0.788153i | −0.00747557 | + | 0.0284400i | ||||
\(769\) | 17.5123 | − | 11.2545i | 0.631511 | − | 0.405847i | −0.185358 | − | 0.982671i | \(-0.559344\pi\) |
0.816869 | + | 0.576824i | \(0.195708\pi\) | |||||||
\(770\) | 6.22412 | + | 52.4133i | 0.224302 | + | 1.88884i | ||||
\(771\) | 11.3491 | + | 7.29362i | 0.408728 | + | 0.262673i | ||||
\(772\) | 16.1713 | − | 14.8418i | 0.582016 | − | 0.534169i | ||||
\(773\) | 31.2841 | − | 7.27481i | 1.12521 | − | 0.261657i | 0.377715 | − | 0.925922i | \(-0.376710\pi\) |
0.747497 | + | 0.664265i | \(0.231255\pi\) | |||||||
\(774\) | 13.2455 | − | 4.72599i | 0.476101 | − | 0.169872i | ||||
\(775\) | 16.1512 | + | 61.4456i | 0.580169 | + | 2.20719i | ||||
\(776\) | −3.05388 | − | 2.80283i | −0.109628 | − | 0.100616i | ||||
\(777\) | −20.8105 | − | 11.7523i | −0.746574 | − | 0.421610i | ||||
\(778\) | 9.56520 | + | 12.4044i | 0.342929 | + | 0.444718i | ||||
\(779\) | −3.52007 | − | 5.14795i | −0.126120 | − | 0.184444i | ||||
\(780\) | 5.92665 | + | 6.83972i | 0.212208 | + | 0.244901i | ||||
\(781\) | 0.431895 | − | 3.90038i | 0.0154544 | − | 0.139567i | ||||
\(782\) | 15.9062 | − | 18.3567i | 0.568804 | − | 0.656435i | ||||
\(783\) | 8.20974 | + | 0.941980i | 0.293392 | + | 0.0336636i | ||||
\(784\) | 9.75908 | + | 3.48203i | 0.348538 | + | 0.124358i | ||||
\(785\) | −1.99769 | + | 23.2587i | −0.0713006 | + | 0.830137i | ||||
\(786\) | −5.78157 | − | 9.58765i | −0.206222 | − | 0.341980i | ||||
\(787\) | −9.24707 | − | 15.3345i | −0.329622 | − | 0.546617i | 0.646753 | − | 0.762700i | \(-0.276127\pi\) |
−0.976375 | + | 0.216082i | \(0.930672\pi\) | |||||||
\(788\) | −1.41427 | + | 16.4661i | −0.0503813 | + | 0.586579i | ||||
\(789\) | −19.1565 | − | 6.83503i | −0.681990 | − | 0.243334i | ||||
\(790\) | −48.4190 | − | 5.55556i | −1.72267 | − | 0.197658i | ||||
\(791\) | −41.8294 | + | 48.2737i | −1.48728 | + | 1.71642i | ||||
\(792\) | 4.88036 | − | 6.01686i | 0.173416 | − | 0.213800i | ||||
\(793\) | 10.5061 | + | 12.1247i | 0.373081 | + | 0.430559i | ||||
\(794\) | 8.84201 | + | 12.9310i | 0.313791 | + | 0.458905i | ||||
\(795\) | 10.6315 | + | 13.7872i | 0.377062 | + | 0.488982i | ||||
\(796\) | −6.96623 | − | 3.93401i | −0.246911 | − | 0.139437i | ||||
\(797\) | 32.2587 | + | 29.6067i | 1.14266 | + | 1.04872i | 0.998246 | + | 0.0592070i | \(0.0188572\pi\) |
0.144415 | + | 0.989517i | \(0.453870\pi\) | |||||||
\(798\) | 1.31902 | + | 5.01808i | 0.0466929 | + | 0.177638i | ||||
\(799\) | −27.6111 | + | 9.85163i | −0.976811 | + | 0.348526i | ||||
\(800\) | 9.33833 | − | 2.17154i | 0.330160 | − | 0.0767754i | ||||
\(801\) | −27.9629 | + | 25.6641i | −0.988019 | + | 0.906796i | ||||
\(802\) | 7.79105 | + | 5.00700i | 0.275111 | + | 0.176803i | ||||
\(803\) | −2.37360 | − | 1.60928i | −0.0837626 | − | 0.0567902i | ||||
\(804\) | 1.11691 | − | 0.717796i | 0.0393905 | − | 0.0253147i | ||||
\(805\) | 36.5284 | − | 138.968i | 1.28746 | − | 4.89799i | ||||
\(806\) | −1.64889 | − | 19.1977i | −0.0580798 | − | 0.676211i | ||||
\(807\) | −1.42435 | + | 1.03485i | −0.0501394 | + | 0.0364284i | ||||
\(808\) | −12.8079 | − | 6.29721i | −0.450580 | − | 0.221535i | ||||
\(809\) | −1.48067 | + | 51.8301i | −0.0520574 | + | 1.82225i | 0.385113 | + | 0.922870i | \(0.374163\pi\) |
−0.437170 | + | 0.899379i | \(0.644019\pi\) | |||||||
\(810\) | −9.22093 | − | 9.48812i | −0.323991 | − | 0.333378i | ||||
\(811\) | 21.7043 | − | 22.3331i | 0.762139 | − | 0.784223i | −0.219369 | − | 0.975642i | \(-0.570400\pi\) |
0.981508 | + | 0.191419i | \(0.0613089\pi\) | |||||||
\(812\) | −0.226120 | − | 7.91522i | −0.00793524 | − | 0.277770i | ||||
\(813\) | 2.00951 | − | 4.40021i | 0.0704765 | − | 0.154322i | ||||
\(814\) | 17.7025 | + | 15.2171i | 0.620474 | + | 0.533359i | ||||
\(815\) | −7.39211 | − | 16.1865i | −0.258934 | − | 0.566987i | ||||
\(816\) | 1.96736 | − | 0.967284i | 0.0688712 | − | 0.0338617i | ||||
\(817\) | 4.29315 | − | 8.13642i | 0.150198 | − | 0.284657i | ||||
\(818\) | 3.49663 | + | 17.2566i | 0.122257 | + | 0.603361i | ||||
\(819\) | −27.8865 | − | 4.82594i | −0.974432 | − | 0.168632i | ||||
\(820\) | −4.81695 | + | 14.8251i | −0.168215 | + | 0.517714i | ||||
\(821\) | 14.5232 | − | 37.3026i | 0.506865 | − | 1.30187i | −0.413391 | − | 0.910554i | \(-0.635656\pi\) |
0.920256 | − | 0.391317i | \(-0.127981\pi\) | |||||||
\(822\) | −3.22380 | + | 15.9101i | −0.112443 | + | 0.554929i | ||||
\(823\) | −3.60044 | − | 2.94406i | −0.125503 | − | 0.102624i | 0.568178 | − | 0.822906i | \(-0.307649\pi\) |
−0.693681 | + | 0.720282i | \(0.744012\pi\) | |||||||
\(824\) | 6.91092 | + | 2.02923i | 0.240753 | + | 0.0706916i | ||||
\(825\) | 25.4171 | + | 5.04554i | 0.884911 | + | 0.175663i | ||||
\(826\) | −1.83813 | + | 0.539723i | −0.0639566 | + | 0.0187794i | ||||
\(827\) | 5.61561 | + | 2.37318i | 0.195274 | + | 0.0825234i | 0.484714 | − | 0.874673i | \(-0.338924\pi\) |
−0.289440 | + | 0.957196i | \(0.593469\pi\) | |||||||
\(828\) | −18.3647 | + | 10.3710i | −0.638216 | + | 0.360417i | ||||
\(829\) | −29.4118 | − | 6.83943i | −1.02151 | − | 0.237543i | −0.317900 | − | 0.948124i | \(-0.602978\pi\) |
−0.703615 | + | 0.710581i | \(0.748432\pi\) | |||||||
\(830\) | −18.7946 | + | 2.15648i | −0.652371 | + | 0.0748526i | ||||
\(831\) | −3.01036 | + | 4.40251i | −0.104428 | + | 0.152721i | ||||
\(832\) | −2.90297 | + | 0.165998i | −0.100643 | + | 0.00575495i | ||||
\(833\) | −10.1131 | − | 25.9754i | −0.350399 | − | 0.899994i | ||||
\(834\) | 2.54808 | − | 0.440963i | 0.0882329 | − | 0.0152693i | ||||
\(835\) | −2.97743 | + | 20.7085i | −0.103038 | + | 0.716646i | ||||
\(836\) | −0.309342 | − | 5.05845i | −0.0106988 | − | 0.174950i | ||||
\(837\) | −4.10081 | − | 28.5217i | −0.141745 | − | 0.985855i | ||||
\(838\) | −4.18742 | − | 12.8875i | −0.144652 | − | 0.445193i | ||||
\(839\) | 16.7845 | + | 0.959774i | 0.579466 | + | 0.0331351i | 0.344365 | − | 0.938836i | \(-0.388094\pi\) |
0.235101 | + | 0.971971i | \(0.424458\pi\) | |||||||
\(840\) | 7.91944 | − | 10.2701i | 0.273247 | − | 0.354353i | ||||
\(841\) | 23.3859 | − | 9.88298i | 0.806412 | − | 0.340792i | ||||
\(842\) | 5.63399 | − | 4.60689i | 0.194160 | − | 0.158764i | ||||
\(843\) | 3.56808 | + | 6.76226i | 0.122891 | + | 0.232904i | ||||
\(844\) | 3.30245 | + | 2.39937i | 0.113675 | + | 0.0825897i | ||||
\(845\) | 8.96450 | − | 14.8660i | 0.308388 | − | 0.511405i | ||||
\(846\) | 25.4553 | 0.875172 | ||||||||
\(847\) | −26.1694 | − | 37.6288i | −0.899191 | − | 1.29294i | ||||
\(848\) | −5.59367 | −0.192087 | ||||||||
\(849\) | 5.41997 | − | 8.98802i | 0.186013 | − | 0.308468i | ||||
\(850\) | −20.8662 | − | 15.1601i | −0.715703 | − | 0.519989i | ||||
\(851\) | −29.6567 | − | 56.2057i | −1.01662 | − | 1.92671i | ||||
\(852\) | −0.746441 | + | 0.610362i | −0.0255727 | + | 0.0209107i | ||||
\(853\) | 42.4101 | − | 17.9227i | 1.45209 | − | 0.613660i | 0.486492 | − | 0.873685i | \(-0.338276\pi\) |
0.965602 | + | 0.260025i | \(0.0837307\pi\) | |||||||
\(854\) | 14.0387 | − | 18.2057i | 0.480393 | − | 0.622985i | ||||
\(855\) | −13.6103 | − | 0.778264i | −0.465462 | − | 0.0266161i | ||||
\(856\) | 2.62748 | + | 8.08655i | 0.0898054 | + | 0.276392i | ||||
\(857\) | −3.46204 | − | 24.0790i | −0.118261 | − | 0.822523i | −0.959470 | − | 0.281812i | \(-0.909065\pi\) |
0.841209 | − | 0.540710i | \(-0.181845\pi\) | |||||||
\(858\) | −7.33473 | − | 2.82229i | −0.250403 | − | 0.0963515i | ||||
\(859\) | 3.95058 | − | 27.4769i | 0.134792 | − | 0.937500i | −0.804395 | − | 0.594094i | \(-0.797511\pi\) |
0.939187 | − | 0.343405i | \(-0.111580\pi\) | |||||||
\(860\) | −22.6579 | + | 3.92110i | −0.772627 | + | 0.133708i | ||||
\(861\) | 5.02794 | + | 12.9142i | 0.171352 | + | 0.440113i | ||||
\(862\) | 4.86013 | − | 0.277912i | 0.165537 | − | 0.00946573i | ||||
\(863\) | 4.32697 | − | 6.32799i | 0.147292 | − | 0.215407i | −0.744770 | − | 0.667322i | \(-0.767441\pi\) |
0.892061 | + | 0.451914i | \(0.149259\pi\) | |||||||
\(864\) | −4.32001 | + | 0.495675i | −0.146970 | + | 0.0168632i | ||||
\(865\) | −23.3254 | − | 5.42410i | −0.793089 | − | 0.184425i | ||||
\(866\) | 14.9291 | − | 8.43084i | 0.507311 | − | 0.286492i | ||||
\(867\) | 7.32856 | + | 3.09707i | 0.248891 | + | 0.105182i | ||||
\(868\) | −26.4930 | + | 7.77905i | −0.899231 | + | 0.264038i | ||||
\(869\) | 39.3769 | − | 15.5106i | 1.33577 | − | 0.526159i | ||||
\(870\) | −5.67537 | − | 1.66644i | −0.192413 | − | 0.0564976i | ||||
\(871\) | 3.66730 | + | 2.99874i | 0.124262 | + | 0.101608i | ||||
\(872\) | 0.0196487 | − | 0.0969703i | 0.000665390 | − | 0.00328383i | ||||
\(873\) | 3.51291 | − | 9.02285i | 0.118894 | − | 0.305377i | ||||
\(874\) | −4.26336 | + | 13.1213i | −0.144210 | + | 0.443833i | ||||
\(875\) | −71.9372 | − | 12.4492i | −2.43192 | − | 0.420860i | ||||
\(876\) | 0.139932 | + | 0.690589i | 0.00472785 | + | 0.0233328i | ||||
\(877\) | −12.5976 | + | 23.8752i | −0.425392 | + | 0.806207i | −0.999925 | − | 0.0122746i | \(-0.996093\pi\) |
0.574533 | + | 0.818481i | \(0.305184\pi\) | |||||||
\(878\) | −15.1645 | + | 7.45589i | −0.511778 | + | 0.251624i | ||||
\(879\) | 2.85947 | + | 6.26137i | 0.0964476 | + | 0.211191i | ||||
\(880\) | −9.54046 | + | 8.33319i | −0.321609 | + | 0.280912i | ||||
\(881\) | 6.69167 | − | 14.6527i | 0.225448 | − | 0.493662i | −0.762779 | − | 0.646660i | \(-0.776165\pi\) |
0.988227 | + | 0.152998i | \(0.0488926\pi\) | |||||||
\(882\) | 0.691164 | + | 24.1939i | 0.0232727 | + | 0.814651i | ||||
\(883\) | −7.78031 | + | 8.00575i | −0.261828 | + | 0.269415i | −0.835281 | − | 0.549824i | \(-0.814695\pi\) |
0.573452 | + | 0.819239i | \(0.305604\pi\) | |||||||
\(884\) | 5.45162 | + | 5.60958i | 0.183358 | + | 0.188671i | ||||
\(885\) | −0.0408643 | + | 1.43044i | −0.00137364 | + | 0.0480836i | ||||
\(886\) | −4.41428 | − | 2.17035i | −0.148301 | − | 0.0729145i | ||||
\(887\) | −44.4435 | + | 32.2901i | −1.49227 | + | 1.08419i | −0.518929 | + | 0.854817i | \(0.673669\pi\) |
−0.973338 | + | 0.229377i | \(0.926331\pi\) | |||||||
\(888\) | −0.490843 | − | 5.71479i | −0.0164716 | − | 0.191776i | ||||
\(889\) | 0.316480 | − | 1.20401i | 0.0106144 | − | 0.0403814i | ||||
\(890\) | 52.2072 | − | 33.5515i | 1.74999 | − | 1.12465i | ||||
\(891\) | 10.9408 | + | 3.50706i | 0.366530 | + | 0.117491i | ||||
\(892\) | −2.97892 | − | 1.91444i | −0.0997417 | − | 0.0641001i | ||||
\(893\) | 12.2679 | − | 11.2594i | 0.410531 | − | 0.376782i | ||||
\(894\) | 16.7462 | − | 3.89417i | 0.560078 | − | 0.130240i | ||||
\(895\) | 71.3521 | − | 25.4584i | 2.38504 | − | 0.850980i | ||||
\(896\) | 1.05926 | + | 4.02984i | 0.0353874 | + | 0.134628i | ||||
\(897\) | 15.7624 | + | 14.4666i | 0.526291 | + | 0.483026i | ||||
\(898\) | −20.5433 | − | 11.6013i | −0.685540 | − | 0.387142i | ||||
\(899\) | 7.69004 | + | 9.97263i | 0.256477 | + | 0.332606i | ||||
\(900\) | 12.6409 | + | 18.4868i | 0.421364 | + | 0.616225i | ||||
\(901\) | 9.85430 | + | 11.3725i | 0.328294 | + | 0.378872i | ||||
\(902\) | −2.36099 | − | 13.3287i | −0.0786123 | − | 0.443797i | ||||
\(903\) | −13.3875 | + | 15.4500i | −0.445508 | + | 0.514143i | ||||
\(904\) | −15.2299 | − | 1.74747i | −0.506539 | − | 0.0581199i | ||||
\(905\) | 82.4911 | + | 29.4328i | 2.74210 | + | 0.978378i | ||||
\(906\) | −0.109300 | + | 1.27256i | −0.00363125 | + | 0.0422779i | ||||
\(907\) | −12.9107 | − | 21.4100i | −0.428693 | − | 0.710908i | 0.564746 | − | 0.825265i | \(-0.308974\pi\) |
−0.993440 | + | 0.114356i | \(0.963519\pi\) | |||||||
\(908\) | −10.0987 | − | 16.7468i | −0.335137 | − | 0.555763i | ||||
\(909\) | 2.85294 | − | 33.2162i | 0.0946260 | − | 1.10171i | ||||
\(910\) | 43.5830 | + | 15.5504i | 1.44476 | + | 0.515490i | ||||
\(911\) | −0.312841 | − | 0.0358952i | −0.0103649 | − | 0.00118926i | 0.108807 | − | 0.994063i | \(-0.465297\pi\) |
−0.119172 | + | 0.992874i | \(0.538024\pi\) | |||||||
\(912\) | −0.815452 | + | 0.941082i | −0.0270023 | + | 0.0311623i | ||||
\(913\) | 13.5239 | − | 9.32617i | 0.447576 | − | 0.308651i | ||||
\(914\) | −14.7594 | − | 17.0333i | −0.488198 | − | 0.563410i | ||||
\(915\) | −9.69321 | − | 14.1759i | −0.320448 | − | 0.468640i | ||||
\(916\) | 8.24404 | + | 10.6911i | 0.272391 | + | 0.353242i | ||||
\(917\) | −49.8461 | − | 28.1494i | −1.64606 | − | 0.929574i | ||||
\(918\) | 8.61827 | + | 7.90977i | 0.284445 | + | 0.261061i | ||||
\(919\) | 1.62442 | + | 6.17994i | 0.0535847 | + | 0.203857i | 0.988553 | − | 0.150874i | \(-0.0482087\pi\) |
−0.934968 | + | 0.354731i | \(0.884572\pi\) | |||||||
\(920\) | 32.4793 | − | 11.5886i | 1.07081 | − | 0.382065i | ||||
\(921\) | 17.7032 | − | 4.11670i | 0.583340 | − | 0.135650i | ||||
\(922\) | −12.0751 | + | 11.0824i | −0.397671 | + | 0.364979i | ||||
\(923\) | −2.89425 | − | 1.86002i | −0.0952654 | − | 0.0612234i | ||||
\(924\) | −1.87646 | + | 11.1044i | −0.0617311 | + | 0.365309i | ||||
\(925\) | −56.7688 | + | 36.4831i | −1.86655 | + | 1.19956i | ||||
\(926\) | −9.32957 | + | 35.4934i | −0.306589 | + | 1.16638i | ||||
\(927\) | 1.43978 | + | 16.7630i | 0.0472884 | + | 0.550569i | ||||
\(928\) | 1.53745 | − | 1.11703i | 0.0504694 | − | 0.0366682i | ||||
\(929\) | −45.5449 | − | 22.3929i | −1.49428 | − | 0.734689i | −0.502735 | − | 0.864441i | \(-0.667673\pi\) |
−0.991546 | + | 0.129752i | \(0.958582\pi\) | |||||||
\(930\) | −0.588979 | + | 20.6170i | −0.0193134 | + | 0.676057i | ||||
\(931\) | 11.0346 | + | 11.3543i | 0.361643 | + | 0.372122i | ||||
\(932\) | 15.3285 | − | 15.7727i | 0.502103 | − | 0.516651i | ||||
\(933\) | 0.236497 | + | 8.27847i | 0.00774256 | + | 0.271025i | ||||
\(934\) | 7.16369 | − | 15.6863i | 0.234403 | − | 0.513271i | ||||
\(935\) | 33.7495 | + | 4.71619i | 1.10373 | + | 0.154236i | ||||
\(936\) | −2.82155 | − | 6.17833i | −0.0922252 | − | 0.201945i | ||||
\(937\) | −26.7869 | + | 13.1702i | −0.875089 | + | 0.430252i | −0.822767 | − | 0.568378i | \(-0.807571\pi\) |
−0.0523212 | + | 0.998630i | \(0.516662\pi\) | |||||||
\(938\) | 3.16794 | − | 6.00392i | 0.103437 | − | 0.196035i | ||||
\(939\) | 2.57867 | + | 12.7262i | 0.0841517 | + | 0.415305i | ||||
\(940\) | −41.0117 | − | 7.09735i | −1.33765 | − | 0.231490i | ||||
\(941\) | −0.768402 | + | 2.36490i | −0.0250492 | + | 0.0770935i | −0.962800 | − | 0.270216i | \(-0.912905\pi\) |
0.937750 | + | 0.347310i | \(0.112905\pi\) | |||||||
\(942\) | −1.80711 | + | 4.64153i | −0.0588789 | + | 0.151229i | ||||
\(943\) | −7.31806 | + | 36.1160i | −0.238309 | + | 1.17610i | ||||
\(944\) | −0.355925 | − | 0.291038i | −0.0115844 | − | 0.00947249i | ||||
\(945\) | 66.3977 | + | 19.4961i | 2.15992 | + | 0.634209i | ||||
\(946\) | 15.7643 | − | 12.2559i | 0.512540 | − | 0.398472i | ||||
\(947\) | −0.791563 | + | 0.232424i | −0.0257223 | + | 0.00755276i | −0.294568 | − | 0.955630i | \(-0.595176\pi\) |
0.268846 | + | 0.963183i | \(0.413358\pi\) | |||||||
\(948\) | −9.57858 | − | 4.04794i | −0.311098 | − | 0.131471i | ||||
\(949\) | −2.18919 | + | 1.23629i | −0.0710640 | + | 0.0401317i | ||||
\(950\) | 14.2692 | + | 3.31817i | 0.462956 | + | 0.107656i | ||||
\(951\) | 18.5137 | − | 2.12425i | 0.600347 | − | 0.0688834i | ||||
\(952\) | 6.32697 | − | 9.25290i | 0.205058 | − | 0.299888i | ||||
\(953\) | 21.8953 | − | 1.25202i | 0.709258 | − | 0.0405569i | 0.301263 | − | 0.953541i | \(-0.402592\pi\) |
0.407995 | + | 0.912984i | \(0.366228\pi\) | |||||||
\(954\) | −4.74053 | − | 12.1760i | −0.153480 | − | 0.394211i | ||||
\(955\) | 36.3770 | − | 6.29529i | 1.17713 | − | 0.203711i | ||||
\(956\) | 2.90667 | − | 20.2163i | 0.0940084 | − | 0.653842i | ||||
\(957\) | 5.03002 | − | 1.03995i | 0.162597 | − | 0.0336169i | ||||
\(958\) | 2.20298 | + | 15.3221i | 0.0711751 | + | 0.495033i | ||||
\(959\) | 25.6490 | + | 78.9395i | 0.828249 | + | 2.54909i | ||||
\(960\) | 3.10742 | + | 0.177688i | 0.100291 | + | 0.00573487i | ||||
\(961\) | 7.88494 | − | 10.2254i | 0.254353 | − | 0.329851i | ||||
\(962\) | 18.8516 | − | 7.96675i | 0.607800 | − | 0.256858i | ||||
\(963\) | −15.3756 | + | 12.5725i | −0.495470 | + | 0.405144i | ||||
\(964\) | −10.3697 | − | 19.6527i | −0.333985 | − | 0.632971i | ||||
\(965\) | −67.8229 | − | 49.2763i | −2.18330 | − | 1.58626i | ||||
\(966\) | 15.8320 | − | 26.2544i | 0.509386 | − | 0.844721i | ||||
\(967\) | −11.4726 | −0.368934 | −0.184467 | − | 0.982839i | \(-0.559056\pi\) | ||||
−0.184467 | + | 0.982839i | \(0.559056\pi\) | |||||||
\(968\) | 3.90963 | − | 10.2818i | 0.125660 | − | 0.330469i | ||||
\(969\) | 3.34988 | 0.107614 | ||||||||
\(970\) | −8.17545 | + | 13.5575i | −0.262498 | + | 0.435304i | ||||
\(971\) | −18.0366 | − | 13.1044i | −0.578822 | − | 0.420539i | 0.259477 | − | 0.965749i | \(-0.416450\pi\) |
−0.838299 | + | 0.545210i | \(0.816450\pi\) | |||||||
\(972\) | −7.40510 | − | 14.0342i | −0.237519 | − | 0.450148i | ||||
\(973\) | 10.2358 | − | 8.36973i | 0.328143 | − | 0.268321i | ||||
\(974\) | 11.2617 | − | 4.75923i | 0.360848 | − | 0.152496i | ||||
\(975\) | 13.8728 | − | 17.9906i | 0.444287 | − | 0.576161i | ||||
\(976\) | 5.50846 | + | 0.314985i | 0.176322 | + | 0.0100824i | ||||
\(977\) | 12.9666 | + | 39.9072i | 0.414839 | + | 1.27674i | 0.912395 | + | 0.409311i | \(0.134231\pi\) |
−0.497556 | + | 0.867432i | \(0.665769\pi\) | |||||||
\(978\) | −0.540336 | − | 3.75812i | −0.0172780 | − | 0.120171i | ||||
\(979\) | −26.3137 | + | 47.0292i | −0.840988 | + | 1.50306i | ||||
\(980\) | 5.63210 | − | 39.1721i | 0.179911 | − | 1.25131i | ||||
\(981\) | 0.227731 | − | 0.0394104i | 0.00727089 | − | 0.00125828i | ||||
\(982\) | −7.19480 | − | 18.4797i | −0.229595 | − | 0.589711i | ||||
\(983\) | −37.2714 | + | 2.13125i | −1.18877 | + | 0.0679764i | −0.640255 | − | 0.768163i | \(-0.721171\pi\) |
−0.548517 | + | 0.836139i | \(0.684807\pi\) | |||||||
\(984\) | −1.87732 | + | 2.74549i | −0.0598467 | + | 0.0875231i | ||||
\(985\) | 62.7099 | − | 7.19529i | 1.99810 | − | 0.229261i | ||||
\(986\) | −4.97953 | − | 1.15794i | −0.158581 | − | 0.0368763i | ||||
\(987\) | −32.2204 | + | 18.1957i | −1.02559 | + | 0.579175i | ||||
\(988\) | −4.09262 | − | 1.72956i | −0.130204 | − | 0.0550245i | ||||
\(989\) | −52.1574 | + | 15.3148i | −1.65851 | + | 0.486982i | ||||
\(990\) | −26.2245 | − | 13.7049i | −0.833470 | − | 0.435569i | ||||
\(991\) | 13.7321 | + | 4.03212i | 0.436216 | + | 0.128085i | 0.492465 | − | 0.870332i | \(-0.336096\pi\) |
−0.0562492 | + | 0.998417i | \(0.517914\pi\) | |||||||
\(992\) | −5.12996 | − | 4.19475i | −0.162876 | − | 0.133183i | ||||
\(993\) | 3.48972 | − | 17.2224i | 0.110743 | − | 0.546537i | ||||
\(994\) | −1.78867 | + | 4.59415i | −0.0567331 | + | 0.145718i | ||||
\(995\) | −9.44232 | + | 29.0605i | −0.299342 | + | 0.921279i | ||||
\(996\) | −3.97735 | − | 0.688308i | −0.126027 | − | 0.0218099i | ||||
\(997\) | 3.04928 | + | 15.0488i | 0.0965718 | + | 0.476601i | 0.998957 | + | 0.0456694i | \(0.0145421\pi\) |
−0.902385 | + | 0.430931i | \(0.858185\pi\) | |||||||
\(998\) | 14.7984 | − | 28.0461i | 0.468435 | − | 0.887784i | ||||
\(999\) | 27.4656 | − | 13.5039i | 0.868972 | − | 0.427245i |
(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 | 242.2.g.b.5.2 | ✓ | 240 | |
121.97 | even | 55 | inner | 242.2.g.b.97.2 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
242.2.g.b.5.2 | ✓ | 240 | 1.1 | even | 1 | trivial | |
242.2.g.b.97.2 | yes | 240 | 121.97 | even | 55 | inner |