Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(2,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(180))
chi = DirichletCharacter(H, H._module([9, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.bi (of order \(180\), degree \(48\), 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: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(2304\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{180})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{180}]$ |
Embedding invariants
Embedding label | 3.3 | ||
Character | \(\chi\) | \(=\) | 475.3 |
Dual form | 475.2.bi.a.317.3 |
$q$-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 \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{7}{20}\right)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.54952 | − | 0.588604i | −1.80279 | − | 0.416206i | −0.815975 | − | 0.578087i | \(-0.803799\pi\) |
−0.986810 | + | 0.161882i | \(0.948244\pi\) | |||||||
\(3\) | 2.32818 | − | 1.29053i | 1.34418 | − | 0.745088i | 0.361844 | − | 0.932239i | \(-0.382147\pi\) |
0.982331 | + | 0.187150i | \(0.0599252\pi\) | |||||||
\(4\) | 4.35603 | + | 2.12458i | 2.17801 | + | 1.06229i | ||||
\(5\) | 2.23290 | + | 0.119006i | 0.998583 | + | 0.0532213i | ||||
\(6\) | −6.69536 | + | 1.91986i | −2.73337 | + | 0.783781i | ||||
\(7\) | 4.07822 | + | 1.09276i | 1.54142 | + | 0.413023i | 0.926725 | − | 0.375739i | \(-0.122611\pi\) |
0.614698 | + | 0.788763i | \(0.289278\pi\) | |||||||
\(8\) | −5.78832 | − | 4.68729i | −2.04648 | − | 1.65721i | ||||
\(9\) | 2.16519 | − | 3.46503i | 0.721731 | − | 1.15501i | ||||
\(10\) | −5.62278 | − | 1.61770i | −1.77808 | − | 0.511562i | ||||
\(11\) | −2.18961 | − | 2.43181i | −0.660191 | − | 0.733217i | 0.316327 | − | 0.948650i | \(-0.397550\pi\) |
−0.976519 | + | 0.215433i | \(0.930884\pi\) | |||||||
\(12\) | 12.8834 | − | 0.675193i | 3.71913 | − | 0.194911i | ||||
\(13\) | −0.770452 | − | 0.826208i | −0.213685 | − | 0.229149i | 0.615481 | − | 0.788152i | \(-0.288962\pi\) |
−0.829166 | + | 0.559003i | \(0.811184\pi\) | |||||||
\(14\) | −9.75432 | − | 5.18647i | −2.60695 | − | 1.38614i | ||||
\(15\) | 5.35217 | − | 2.60456i | 1.38192 | − | 0.672494i | ||||
\(16\) | 6.03086 | + | 7.71915i | 1.50771 | + | 1.92979i | ||||
\(17\) | −2.38235 | + | 2.07094i | −0.577804 | + | 0.502277i | −0.894990 | − | 0.446086i | \(-0.852817\pi\) |
0.317186 | + | 0.948363i | \(0.397262\pi\) | |||||||
\(18\) | −7.55974 | + | 7.55974i | −1.78185 | + | 1.78185i | ||||
\(19\) | −0.198589 | − | 4.35437i | −0.0455594 | − | 0.998962i | ||||
\(20\) | 9.47373 | + | 5.26236i | 2.11839 | + | 1.17670i | ||||
\(21\) | 10.9051 | − | 2.71894i | 2.37968 | − | 0.593321i | ||||
\(22\) | 4.15108 | + | 7.48875i | 0.885014 | + | 1.59661i | ||||
\(23\) | 2.14895 | + | 2.85176i | 0.448088 | + | 0.594633i | 0.965274 | − | 0.261240i | \(-0.0841315\pi\) |
−0.517186 | + | 0.855873i | \(0.673020\pi\) | |||||||
\(24\) | −19.5253 | − | 3.44284i | −3.98559 | − | 0.702767i | ||||
\(25\) | 4.97167 | + | 0.531459i | 0.994335 | + | 0.106292i | ||||
\(26\) | 1.47798 | + | 2.55993i | 0.289855 | + | 0.502043i | ||||
\(27\) | 0.151280 | − | 2.88660i | 0.0291139 | − | 0.555527i | ||||
\(28\) | 15.4432 | + | 13.4246i | 2.91849 | + | 2.53701i | ||||
\(29\) | −9.08362 | + | 0.635188i | −1.68679 | + | 0.117952i | −0.880646 | − | 0.473775i | \(-0.842891\pi\) |
−0.806139 | + | 0.591726i | \(0.798447\pi\) | |||||||
\(30\) | −15.1785 | + | 3.49007i | −2.77121 | + | 0.637197i | ||||
\(31\) | −2.77206 | + | 6.22615i | −0.497876 | + | 1.11825i | 0.473520 | + | 0.880783i | \(0.342983\pi\) |
−0.971396 | + | 0.237465i | \(0.923683\pi\) | |||||||
\(32\) | −4.53683 | − | 9.72926i | −0.802005 | − | 1.71991i | ||||
\(33\) | −8.23612 | − | 2.83592i | −1.43372 | − | 0.493671i | ||||
\(34\) | 7.29281 | − | 3.87765i | 1.25071 | − | 0.665012i | ||||
\(35\) | 8.97621 | + | 2.92535i | 1.51726 | + | 0.494474i | ||||
\(36\) | 16.7934 | − | 10.4937i | 2.79889 | − | 1.74894i | ||||
\(37\) | −2.75789 | + | 5.41267i | −0.453394 | + | 0.889837i | 0.545274 | + | 0.838258i | \(0.316425\pi\) |
−0.998669 | + | 0.0515791i | \(0.983575\pi\) | |||||||
\(38\) | −2.05669 | + | 11.2185i | −0.333640 | + | 1.81988i | ||||
\(39\) | −2.86000 | − | 0.929269i | −0.457966 | − | 0.148802i | ||||
\(40\) | −12.3669 | − | 11.1551i | −1.95538 | − | 1.76377i | ||||
\(41\) | 7.54210 | − | 5.89254i | 1.17788 | − | 0.920260i | 0.179892 | − | 0.983686i | \(-0.442425\pi\) |
0.997987 | + | 0.0634266i | \(0.0202029\pi\) | |||||||
\(42\) | −29.4031 | + | 0.513233i | −4.53700 | + | 0.0791936i | ||||
\(43\) | 1.44187 | − | 1.00961i | 0.219883 | − | 0.153964i | −0.458446 | − | 0.888723i | \(-0.651594\pi\) |
0.678328 | + | 0.734759i | \(0.262705\pi\) | |||||||
\(44\) | −4.37143 | − | 15.2450i | −0.659018 | − | 2.29827i | ||||
\(45\) | 5.24701 | − | 7.47939i | 0.782179 | − | 1.11496i | ||||
\(46\) | −3.80025 | − | 8.53551i | −0.560317 | − | 1.25849i | ||||
\(47\) | −5.08520 | + | 5.84985i | −0.741752 | + | 0.853288i | −0.993420 | − | 0.114525i | \(-0.963465\pi\) |
0.251668 | + | 0.967814i | \(0.419021\pi\) | |||||||
\(48\) | 24.0027 | + | 10.1885i | 3.46449 | + | 1.47059i | ||||
\(49\) | 9.37561 | + | 5.41301i | 1.33937 | + | 0.773287i | ||||
\(50\) | −12.3626 | − | 4.28131i | −1.74833 | − | 0.605469i | ||||
\(51\) | −2.87391 | + | 7.89601i | −0.402428 | + | 1.10566i | ||||
\(52\) | −1.60077 | − | 5.23587i | −0.221986 | − | 0.726084i | ||||
\(53\) | −1.08408 | − | 3.14839i | −0.148909 | − | 0.432464i | 0.846007 | − | 0.533172i | \(-0.179000\pi\) |
−0.994916 | + | 0.100708i | \(0.967889\pi\) | |||||||
\(54\) | −2.08476 | + | 7.27042i | −0.283700 | + | 0.989379i | ||||
\(55\) | −4.59977 | − | 5.69055i | −0.620233 | − | 0.767314i | ||||
\(56\) | −18.4840 | − | 25.4410i | −2.47003 | − | 3.39970i | ||||
\(57\) | −6.08180 | − | 9.88148i | −0.805554 | − | 1.30883i | ||||
\(58\) | 23.5328 | + | 3.72722i | 3.09000 | + | 0.489408i | ||||
\(59\) | 2.92444 | − | 7.23825i | 0.380730 | − | 0.942340i | −0.608177 | − | 0.793802i | \(-0.708099\pi\) |
0.988907 | − | 0.148538i | \(-0.0474568\pi\) | |||||||
\(60\) | 28.8478 | + | 0.0255754i | 3.72423 | + | 0.00330177i | ||||
\(61\) | −5.37423 | − | 0.755299i | −0.688100 | − | 0.0967062i | −0.213547 | − | 0.976933i | \(-0.568502\pi\) |
−0.474553 | + | 0.880227i | \(0.657390\pi\) | |||||||
\(62\) | 10.7322 | − | 14.2421i | 1.36299 | − | 1.80874i | ||||
\(63\) | 12.6166 | − | 11.7651i | 1.58954 | − | 1.48227i | ||||
\(64\) | 1.76677 | + | 8.31201i | 0.220846 | + | 1.03900i | ||||
\(65\) | −1.62202 | − | 1.93653i | −0.201186 | − | 0.240197i | ||||
\(66\) | 19.3289 | + | 12.0781i | 2.37923 | + | 1.48671i | ||||
\(67\) | 7.66430 | − | 4.60518i | 0.936344 | − | 0.562612i | 0.0367427 | − | 0.999325i | \(-0.488302\pi\) |
0.899601 | + | 0.436713i | \(0.143857\pi\) | |||||||
\(68\) | −14.7774 | + | 3.95960i | −1.79203 | + | 0.480172i | ||||
\(69\) | 8.68343 | + | 3.86611i | 1.04536 | + | 0.465425i | ||||
\(70\) | −21.1632 | − | 12.7417i | −2.52949 | − | 1.52292i | ||||
\(71\) | 2.39155 | + | 2.47652i | 0.283825 | + | 0.293909i | 0.846081 | − | 0.533054i | \(-0.178956\pi\) |
−0.562257 | + | 0.826963i | \(0.690067\pi\) | |||||||
\(72\) | −28.7744 | + | 9.90782i | −3.39110 | + | 1.16765i | ||||
\(73\) | −4.32486 | + | 4.63785i | −0.506187 | + | 0.542819i | −0.932222 | − | 0.361888i | \(-0.882132\pi\) |
0.426035 | + | 0.904707i | \(0.359910\pi\) | |||||||
\(74\) | 10.2172 | − | 12.1764i | 1.18773 | − | 1.41548i | ||||
\(75\) | 12.2608 | − | 5.17877i | 1.41576 | − | 0.597993i | ||||
\(76\) | 8.38614 | − | 19.3897i | 0.961956 | − | 2.22415i | ||||
\(77\) | −6.27234 | − | 12.3102i | −0.714799 | − | 1.40287i | ||||
\(78\) | 6.74466 | + | 4.05260i | 0.763682 | + | 0.458866i | ||||
\(79\) | −15.3601 | − | 4.40444i | −1.72815 | − | 0.495539i | −0.743301 | − | 0.668957i | \(-0.766741\pi\) |
−0.984848 | + | 0.173419i | \(0.944519\pi\) | |||||||
\(80\) | 12.5477 | + | 17.9538i | 1.40287 | + | 2.00729i | ||||
\(81\) | 2.00036 | + | 4.10136i | 0.222263 | + | 0.455706i | ||||
\(82\) | −22.6971 | + | 10.5838i | −2.50648 | + | 1.16879i | ||||
\(83\) | 2.17950 | + | 5.67780i | 0.239232 | + | 0.623220i | 0.999657 | − | 0.0262062i | \(-0.00834264\pi\) |
−0.760425 | + | 0.649426i | \(0.775009\pi\) | |||||||
\(84\) | 53.2794 | + | 11.3249i | 5.81326 | + | 1.23565i | ||||
\(85\) | −5.56599 | + | 4.34069i | −0.603717 | + | 0.470814i | ||||
\(86\) | −4.27034 | + | 1.72533i | −0.460482 | + | 0.186047i | ||||
\(87\) | −20.3286 | + | 13.2015i | −2.17945 | + | 1.41535i | ||||
\(88\) | 1.27557 | + | 24.3394i | 0.135977 | + | 2.59459i | ||||
\(89\) | −5.77559 | + | 7.39242i | −0.612212 | + | 0.783595i | −0.989813 | − | 0.142373i | \(-0.954527\pi\) |
0.377602 | + | 0.925968i | \(0.376749\pi\) | |||||||
\(90\) | −17.7798 | + | 15.9805i | −1.87415 | + | 1.68449i | ||||
\(91\) | −2.23923 | − | 4.21138i | −0.234735 | − | 0.441472i | ||||
\(92\) | 3.30212 | + | 16.9880i | 0.344270 | + | 1.77112i | ||||
\(93\) | 1.58118 | + | 18.0730i | 0.163961 | + | 1.87408i | ||||
\(94\) | 16.4081 | − | 11.9212i | 1.69236 | − | 1.22957i | ||||
\(95\) | 0.0747700 | − | 9.74651i | 0.00767124 | − | 0.999971i | ||||
\(96\) | −23.1185 | − | 16.7965i | −2.35952 | − | 1.71429i | ||||
\(97\) | −1.44184 | + | 2.39962i | −0.146396 | + | 0.243645i | −0.921665 | − | 0.387988i | \(-0.873170\pi\) |
0.775268 | + | 0.631632i | \(0.217615\pi\) | |||||||
\(98\) | −20.7172 | − | 19.3191i | −2.09275 | − | 1.95153i | ||||
\(99\) | −13.1672 | + | 2.32173i | −1.32335 | + | 0.233343i | ||||
\(100\) | 20.5276 | + | 12.8777i | 2.05276 | + | 1.28777i | ||||
\(101\) | −4.95357 | − | 1.80295i | −0.492899 | − | 0.179400i | 0.0835985 | − | 0.996500i | \(-0.473359\pi\) |
−0.576497 | + | 0.817099i | \(0.695581\pi\) | |||||||
\(102\) | 11.9747 | − | 18.4395i | 1.18568 | − | 1.82578i | ||||
\(103\) | −0.188078 | + | 0.489961i | −0.0185319 | + | 0.0482773i | −0.942534 | − | 0.334110i | \(-0.891564\pi\) |
0.924002 | + | 0.382387i | \(0.124898\pi\) | |||||||
\(104\) | 0.586943 | + | 8.39368i | 0.0575545 | + | 0.823068i | ||||
\(105\) | 24.6735 | − | 4.77334i | 2.40789 | − | 0.465831i | ||||
\(106\) | 0.910726 | + | 8.66497i | 0.0884575 | + | 0.841617i | ||||
\(107\) | 0.629717 | − | 2.35013i | 0.0608770 | − | 0.227196i | −0.928784 | − | 0.370621i | \(-0.879145\pi\) |
0.989661 | + | 0.143425i | \(0.0458115\pi\) | |||||||
\(108\) | 6.79179 | − | 12.2527i | 0.653540 | − | 1.17902i | ||||
\(109\) | 1.73898 | − | 0.244397i | 0.166564 | − | 0.0234090i | −0.0553982 | − | 0.998464i | \(-0.517643\pi\) |
0.221962 | + | 0.975055i | \(0.428754\pi\) | |||||||
\(110\) | 8.37774 | + | 17.2156i | 0.798786 | + | 1.64145i | ||||
\(111\) | 0.564348 | + | 16.1608i | 0.0535655 | + | 1.53392i | ||||
\(112\) | 16.1600 | + | 38.0707i | 1.52698 | + | 3.59734i | ||||
\(113\) | −2.98110 | − | 1.51895i | −0.280438 | − | 0.142890i | 0.308114 | − | 0.951349i | \(-0.400302\pi\) |
−0.588553 | + | 0.808459i | \(0.700302\pi\) | |||||||
\(114\) | 9.68942 | + | 28.7728i | 0.907498 | + | 2.69482i | ||||
\(115\) | 4.45902 | + | 6.62343i | 0.415806 | + | 0.617638i | ||||
\(116\) | −40.9180 | − | 16.5319i | −3.79914 | − | 1.53495i | ||||
\(117\) | −4.53101 | + | 0.880740i | −0.418892 | + | 0.0814244i | ||||
\(118\) | −11.7164 | + | 16.7327i | −1.07858 | + | 1.54037i | ||||
\(119\) | −11.9788 | + | 5.84244i | −1.09809 | + | 0.535575i | ||||
\(120\) | −43.1884 | − | 10.0112i | −3.94254 | − | 0.913890i | ||||
\(121\) | 0.0305164 | − | 0.290344i | 0.00277422 | − | 0.0263949i | ||||
\(122\) | 13.2572 | + | 5.08895i | 1.20025 | + | 0.460732i | ||||
\(123\) | 9.95487 | − | 23.4522i | 0.897600 | − | 2.11461i | ||||
\(124\) | −25.3031 | + | 21.2318i | −2.27228 | + | 1.90667i | ||||
\(125\) | 11.0380 | + | 1.77835i | 0.987269 | + | 0.159061i | ||||
\(126\) | −39.0912 | + | 22.5693i | −3.48252 | + | 2.01064i | ||||
\(127\) | 6.61994 | − | 0.812827i | 0.587425 | − | 0.0721267i | 0.177301 | − | 0.984157i | \(-0.443263\pi\) |
0.410124 | + | 0.912030i | \(0.365485\pi\) | |||||||
\(128\) | 0.0133489 | − | 0.764755i | 0.00117988 | − | 0.0675955i | ||||
\(129\) | 2.05400 | − | 4.21132i | 0.180845 | − | 0.370786i | ||||
\(130\) | 2.99552 | + | 5.89195i | 0.262725 | + | 0.516758i | ||||
\(131\) | 13.1701 | + | 0.920947i | 1.15068 | + | 0.0804635i | 0.632326 | − | 0.774702i | \(-0.282100\pi\) |
0.518355 | + | 0.855166i | \(0.326545\pi\) | |||||||
\(132\) | −29.8516 | − | 29.8516i | −2.59825 | − | 2.59825i | ||||
\(133\) | 3.94838 | − | 17.9751i | 0.342368 | − | 1.55864i | ||||
\(134\) | −22.2509 | + | 7.22977i | −1.92219 | + | 0.624557i | ||||
\(135\) | 0.681318 | − | 6.42749i | 0.0586386 | − | 0.553190i | ||||
\(136\) | 23.4969 | − | 0.820529i | 2.01484 | − | 0.0703597i | ||||
\(137\) | 3.99225 | − | 13.0581i | 0.341081 | − | 1.11562i | −0.606225 | − | 0.795293i | \(-0.707317\pi\) |
0.947306 | − | 0.320331i | \(-0.103794\pi\) | |||||||
\(138\) | −19.8630 | − | 14.9679i | −1.69085 | − | 1.27415i | ||||
\(139\) | −7.74274 | − | 6.04929i | −0.656730 | − | 0.513094i | 0.231298 | − | 0.972883i | \(-0.425703\pi\) |
−0.888028 | + | 0.459789i | \(0.847925\pi\) | |||||||
\(140\) | 32.8855 | + | 31.8135i | 2.77933 | + | 2.68874i | ||||
\(141\) | −4.28984 | + | 20.1821i | −0.361270 | + | 1.69964i | ||||
\(142\) | −4.63962 | − | 7.72162i | −0.389348 | − | 0.647984i | ||||
\(143\) | −0.322191 | + | 3.68266i | −0.0269430 | + | 0.307959i | ||||
\(144\) | 39.8050 | − | 4.18368i | 3.31709 | − | 0.348640i | ||||
\(145\) | −20.3584 | + | 0.337303i | −1.69067 | + | 0.0280115i | ||||
\(146\) | 13.7562 | − | 9.27867i | 1.13847 | − | 0.767908i | ||||
\(147\) | 28.8138 | + | 0.502946i | 2.37652 | + | 0.0414823i | ||||
\(148\) | −23.5131 | + | 17.7184i | −1.93276 | + | 1.45644i | ||||
\(149\) | −2.48201 | − | 6.81926i | −0.203334 | − | 0.558656i | 0.795550 | − | 0.605888i | \(-0.207182\pi\) |
−0.998884 | + | 0.0472323i | \(0.984960\pi\) | |||||||
\(150\) | −34.3075 | + | 5.98663i | −2.80119 | + | 0.488806i | ||||
\(151\) | 21.3829i | 1.74012i | 0.492949 | + | 0.870058i | \(0.335919\pi\) | ||||
−0.492949 | + | 0.870058i | \(0.664081\pi\) | |||||||
\(152\) | −19.2607 | + | 26.1353i | −1.56225 | + | 2.11986i | ||||
\(153\) | 2.01764 | + | 12.7389i | 0.163117 | + | 1.02988i | ||||
\(154\) | 8.74566 | + | 35.0769i | 0.704746 | + | 2.82658i | ||||
\(155\) | −6.93068 | + | 13.5725i | −0.556685 | + | 1.09017i | ||||
\(156\) | −10.4839 | − | 10.1242i | −0.839385 | − | 0.810585i | ||||
\(157\) | 3.61970 | + | 5.16947i | 0.288883 | + | 0.412568i | 0.937194 | − | 0.348807i | \(-0.113413\pi\) |
−0.648311 | + | 0.761376i | \(0.724524\pi\) | |||||||
\(158\) | 36.5685 | + | 20.2703i | 2.90924 | + | 1.61262i | ||||
\(159\) | −6.58701 | − | 5.93097i | −0.522384 | − | 0.470357i | ||||
\(160\) | −8.97243 | − | 22.2644i | −0.709333 | − | 1.76015i | ||||
\(161\) | 5.64764 | + | 13.9784i | 0.445096 | + | 1.10165i | ||||
\(162\) | −2.68590 | − | 11.6339i | −0.211024 | − | 0.914047i | ||||
\(163\) | 7.79729 | + | 12.0068i | 0.610731 | + | 0.940443i | 0.999815 | + | 0.0192408i | \(0.00612492\pi\) |
−0.389084 | + | 0.921202i | \(0.627208\pi\) | |||||||
\(164\) | 45.3727 | − | 9.64427i | 3.54302 | − | 0.753091i | ||||
\(165\) | −18.0529 | − | 7.31248i | −1.40542 | − | 0.569276i | ||||
\(166\) | −2.21472 | − | 15.7585i | −0.171896 | − | 1.22310i | ||||
\(167\) | 0.0461652 | + | 2.64480i | 0.00357237 | + | 0.204661i | 0.996384 | + | 0.0849698i | \(0.0270794\pi\) |
−0.992811 | + | 0.119691i | \(0.961810\pi\) | |||||||
\(168\) | −75.8665 | − | 35.3771i | −5.85322 | − | 2.72940i | ||||
\(169\) | 0.817810 | − | 11.6952i | 0.0629084 | − | 0.899633i | ||||
\(170\) | 16.7456 | − | 7.79052i | 1.28433 | − | 0.597506i | ||||
\(171\) | −15.5180 | − | 8.73994i | −1.18669 | − | 0.668360i | ||||
\(172\) | 8.42580 | − | 1.33452i | 0.642461 | − | 0.101756i | ||||
\(173\) | 2.87429 | − | 12.4499i | 0.218528 | − | 0.946549i | −0.742445 | − | 0.669907i | \(-0.766334\pi\) |
0.960973 | − | 0.276642i | \(-0.0892216\pi\) | |||||||
\(174\) | 59.5986 | − | 21.6921i | 4.51816 | − | 1.64448i | ||||
\(175\) | 19.6948 | + | 7.60024i | 1.48879 | + | 0.574524i | ||||
\(176\) | 5.56625 | − | 31.5678i | 0.419572 | − | 2.37951i | ||||
\(177\) | −2.53256 | − | 20.6260i | −0.190359 | − | 1.55035i | ||||
\(178\) | 19.0762 | − | 15.4476i | 1.42982 | − | 1.15785i | ||||
\(179\) | 3.04298 | − | 1.35482i | 0.227443 | − | 0.101264i | −0.289851 | − | 0.957072i | \(-0.593606\pi\) |
0.517294 | + | 0.855808i | \(0.326939\pi\) | |||||||
\(180\) | 38.7467 | − | 21.4327i | 2.88801 | − | 1.59750i | ||||
\(181\) | −11.1927 | − | 2.79066i | −0.831948 | − | 0.207428i | −0.197411 | − | 0.980321i | \(-0.563253\pi\) |
−0.634536 | + | 0.772893i | \(0.718809\pi\) | |||||||
\(182\) | 3.23013 | + | 12.0550i | 0.239433 | + | 0.893578i | ||||
\(183\) | −13.4869 | + | 5.17714i | −0.996982 | + | 0.382705i | ||||
\(184\) | 0.928182 | − | 26.5796i | 0.0684265 | − | 1.95948i | ||||
\(185\) | −6.80223 | + | 11.7577i | −0.500110 | + | 0.864445i | ||||
\(186\) | 6.60658 | − | 47.0082i | 0.484418 | − | 3.44681i | ||||
\(187\) | 10.2525 | + | 1.25885i | 0.749739 | + | 0.0920564i | ||||
\(188\) | −34.5797 | + | 14.6782i | −2.52198 | + | 1.07052i | ||||
\(189\) | 3.77131 | − | 11.6069i | 0.274323 | − | 0.844278i | ||||
\(190\) | −5.92746 | + | 24.8049i | −0.430023 | + | 1.79954i | ||||
\(191\) | −2.04037 | − | 6.27960i | −0.147636 | − | 0.454376i | 0.849705 | − | 0.527259i | \(-0.176780\pi\) |
−0.997341 | + | 0.0728827i | \(0.976780\pi\) | |||||||
\(192\) | 14.8403 | + | 17.0718i | 1.07100 | + | 1.23205i | ||||
\(193\) | 9.68035 | − | 20.7596i | 0.696807 | − | 1.49431i | −0.164584 | − | 0.986363i | \(-0.552628\pi\) |
0.861390 | − | 0.507944i | \(-0.169594\pi\) | |||||||
\(194\) | 5.08842 | − | 5.26922i | 0.365328 | − | 0.378308i | ||||
\(195\) | −6.27550 | − | 2.41532i | −0.449398 | − | 0.172965i | ||||
\(196\) | 29.3400 | + | 43.4984i | 2.09572 | + | 3.10703i | ||||
\(197\) | 14.4473 | + | 17.8410i | 1.02933 | + | 1.27112i | 0.961903 | + | 0.273391i | \(0.0881454\pi\) |
0.0674263 | + | 0.997724i | \(0.478521\pi\) | |||||||
\(198\) | 34.9367 | + | 1.83095i | 2.48284 | + | 0.130120i | ||||
\(199\) | −14.6938 | − | 17.5114i | −1.04162 | − | 1.24135i | −0.969792 | − | 0.243935i | \(-0.921562\pi\) |
−0.0718263 | − | 0.997417i | \(-0.522883\pi\) | |||||||
\(200\) | −26.2865 | − | 26.3799i | −1.85874 | − | 1.86534i | ||||
\(201\) | 11.9008 | − | 20.6127i | 0.839414 | − | 1.45391i | ||||
\(202\) | 11.5680 | + | 7.51236i | 0.813923 | + | 0.528568i | ||||
\(203\) | −37.7391 | − | 7.33574i | −2.64877 | − | 0.514868i | ||||
\(204\) | −29.2945 | + | 28.2894i | −2.05103 | + | 1.98065i | ||||
\(205\) | 17.5420 | − | 12.2599i | 1.22519 | − | 0.856267i | ||||
\(206\) | 0.767903 | − | 1.13846i | 0.0535023 | − | 0.0793205i | ||||
\(207\) | 14.5343 | − | 1.27159i | 1.01021 | − | 0.0883816i | ||||
\(208\) | 1.73114 | − | 10.9300i | 0.120033 | − | 0.757857i | ||||
\(209\) | −10.1542 | + | 10.0173i | −0.702378 | + | 0.692911i | ||||
\(210\) | −65.7152 | − | 2.35316i | −4.53478 | − | 0.162384i | ||||
\(211\) | 8.87466 | + | 14.2024i | 0.610957 | + | 0.977736i | 0.998439 | + | 0.0558583i | \(0.0177895\pi\) |
−0.387482 | + | 0.921877i | \(0.626655\pi\) | |||||||
\(212\) | 1.96672 | − | 16.0177i | 0.135075 | − | 1.10010i | ||||
\(213\) | 8.76398 | + | 2.67942i | 0.600498 | + | 0.183591i | ||||
\(214\) | −2.98878 | + | 5.62107i | −0.204309 | + | 0.384248i | ||||
\(215\) | 3.33970 | − | 2.08276i | 0.227765 | − | 0.142043i | ||||
\(216\) | −14.4060 | + | 15.9995i | −0.980204 | + | 1.08863i | ||||
\(217\) | −18.1087 | + | 22.3624i | −1.22930 | + | 1.51806i | ||||
\(218\) | −4.57741 | − | 0.400472i | −0.310021 | − | 0.0271234i | ||||
\(219\) | −4.08377 | + | 16.3791i | −0.275956 | + | 1.10680i | ||||
\(220\) | −7.94671 | − | 34.5608i | −0.535767 | − | 2.33009i | ||||
\(221\) | 3.54651 | + | 0.372753i | 0.238564 | + | 0.0250741i | ||||
\(222\) | 8.07349 | − | 41.5345i | 0.541857 | − | 2.78761i | ||||
\(223\) | −0.367349 | + | 0.112310i | −0.0245995 | + | 0.00752083i | −0.304647 | − | 0.952465i | \(-0.598539\pi\) |
0.280048 | + | 0.959986i | \(0.409650\pi\) | |||||||
\(224\) | −7.87048 | − | 44.6357i | −0.525869 | − | 2.98235i | ||||
\(225\) | 12.6061 | − | 16.0763i | 0.840410 | − | 1.07175i | ||||
\(226\) | 6.70632 | + | 5.62727i | 0.446098 | + | 0.374321i | ||||
\(227\) | −6.22687 | + | 3.17275i | −0.413292 | + | 0.210583i | −0.648258 | − | 0.761421i | \(-0.724502\pi\) |
0.234966 | + | 0.972004i | \(0.424502\pi\) | |||||||
\(228\) | −5.49854 | − | 55.9652i | −0.364150 | − | 3.70639i | ||||
\(229\) | 12.7531 | − | 17.5532i | 0.842751 | − | 1.15995i | −0.142663 | − | 0.989771i | \(-0.545566\pi\) |
0.985414 | − | 0.170176i | \(-0.0544336\pi\) | |||||||
\(230\) | −7.46980 | − | 19.5112i | −0.492544 | − | 1.28653i | ||||
\(231\) | −30.4898 | − | 20.5656i | −2.00608 | − | 1.35312i | ||||
\(232\) | 55.5562 | + | 38.9008i | 3.64744 | + | 2.55397i | ||||
\(233\) | −4.34143 | + | 12.6084i | −0.284417 | + | 0.826006i | 0.708341 | + | 0.705870i | \(0.249444\pi\) |
−0.992758 | + | 0.120135i | \(0.961667\pi\) | |||||||
\(234\) | 12.0703 | + | 0.421505i | 0.789062 | + | 0.0275547i | ||||
\(235\) | −12.0509 | + | 12.4570i | −0.786114 | + | 0.812602i | ||||
\(236\) | 28.1172 | − | 25.3168i | 1.83027 | − | 1.64798i | ||||
\(237\) | −41.4452 | + | 9.56838i | −2.69215 | + | 0.621533i | ||||
\(238\) | 33.9790 | − | 7.84468i | 2.20253 | − | 0.508495i | ||||
\(239\) | −18.5526 | + | 16.7048i | −1.20006 | + | 1.08054i | −0.205264 | + | 0.978707i | \(0.565805\pi\) |
−0.994801 | + | 0.101837i | \(0.967528\pi\) | |||||||
\(240\) | 52.3831 | + | 25.6065i | 3.38132 | + | 1.65289i | ||||
\(241\) | 13.9010 | + | 0.485434i | 0.895443 | + | 0.0312695i | 0.478923 | − | 0.877857i | \(-0.341027\pi\) |
0.416520 | + | 0.909127i | \(0.363250\pi\) | |||||||
\(242\) | −0.248700 | + | 0.722278i | −0.0159870 | + | 0.0464298i | ||||
\(243\) | 17.0536 | + | 11.9410i | 1.09399 | + | 0.766018i | ||||
\(244\) | −21.8056 | − | 14.7081i | −1.39596 | − | 0.941588i | ||||
\(245\) | 20.2906 | + | 13.2025i | 1.29632 | + | 0.843474i | ||||
\(246\) | −39.1842 | + | 53.9325i | −2.49829 | + | 3.43861i | ||||
\(247\) | −3.44462 | + | 3.51891i | −0.219176 | + | 0.223903i | ||||
\(248\) | 45.2293 | − | 23.0455i | 2.87206 | − | 1.46339i | ||||
\(249\) | 12.4017 | + | 10.4062i | 0.785923 | + | 0.659468i | ||||
\(250\) | −27.0949 | − | 11.0310i | −1.71363 | − | 0.697659i | ||||
\(251\) | −0.810757 | − | 4.59803i | −0.0511745 | − | 0.290225i | 0.948471 | − | 0.316865i | \(-0.102630\pi\) |
−0.999645 | + | 0.0266401i | \(0.991519\pi\) | |||||||
\(252\) | 79.9540 | − | 24.4444i | 5.03663 | − | 1.53985i | ||||
\(253\) | 2.22956 | − | 11.4701i | 0.140171 | − | 0.721117i | ||||
\(254\) | −17.3561 | − | 1.82420i | −1.08902 | − | 0.114461i | ||||
\(255\) | −7.35683 | + | 17.2890i | −0.460703 | + | 1.08268i | ||||
\(256\) | 3.62739 | − | 14.5487i | 0.226712 | − | 0.909291i | ||||
\(257\) | 11.0821 | + | 0.969555i | 0.691280 | + | 0.0604792i | 0.427382 | − | 0.904071i | \(-0.359436\pi\) |
0.263899 | + | 0.964550i | \(0.414992\pi\) | |||||||
\(258\) | −7.71552 | + | 9.52787i | −0.480347 | + | 0.593179i | ||||
\(259\) | −17.1620 | + | 19.0604i | −1.06640 | + | 1.18435i | ||||
\(260\) | −2.95125 | − | 11.8817i | −0.183028 | − | 0.736870i | ||||
\(261\) | −17.4668 | + | 32.8503i | −1.08117 | + | 2.03338i | ||||
\(262\) | −33.0355 | − | 10.1000i | −2.04094 | − | 0.623979i | ||||
\(263\) | −1.90501 | + | 15.5151i | −0.117468 | + | 0.956699i | 0.810938 | + | 0.585132i | \(0.198957\pi\) |
−0.928406 | + | 0.371567i | \(0.878821\pi\) | |||||||
\(264\) | 34.3805 | + | 55.0203i | 2.11597 | + | 3.38626i | ||||
\(265\) | −2.04595 | − | 7.15904i | −0.125682 | − | 0.439776i | ||||
\(266\) | −20.6467 | + | 43.5039i | −1.26593 | + | 2.66740i | ||||
\(267\) | −3.90647 | + | 24.6645i | −0.239072 | + | 1.50944i | ||||
\(268\) | 43.1700 | − | 3.77688i | 2.63702 | − | 0.230710i | ||||
\(269\) | −4.21309 | + | 6.24616i | −0.256877 | + | 0.380835i | −0.935312 | − | 0.353825i | \(-0.884881\pi\) |
0.678435 | + | 0.734660i | \(0.262659\pi\) | |||||||
\(270\) | −5.52028 | + | 15.9860i | −0.335954 | + | 0.972878i | ||||
\(271\) | −3.91898 | + | 3.78452i | −0.238061 | + | 0.229893i | −0.804113 | − | 0.594477i | \(-0.797359\pi\) |
0.566052 | + | 0.824370i | \(0.308470\pi\) | |||||||
\(272\) | −30.3535 | − | 5.90012i | −1.84045 | − | 0.357747i | ||||
\(273\) | −10.6482 | − | 6.91505i | −0.644461 | − | 0.418518i | ||||
\(274\) | −17.8643 | + | 30.9420i | −1.07922 | + | 1.86927i | ||||
\(275\) | −9.59361 | − | 13.2538i | −0.578517 | − | 0.799236i | ||||
\(276\) | 29.6114 | + | 35.2895i | 1.78240 | + | 2.12418i | ||||
\(277\) | −0.895322 | − | 0.0469219i | −0.0537947 | − | 0.00281926i | 0.0254196 | − | 0.999677i | \(-0.491908\pi\) |
−0.0792143 | + | 0.996858i | \(0.525241\pi\) | |||||||
\(278\) | 16.1797 | + | 19.9802i | 0.970391 | + | 1.19833i | ||||
\(279\) | 15.5717 | + | 23.0861i | 0.932256 | + | 1.38213i | ||||
\(280\) | −38.2452 | − | 59.0069i | −2.28559 | − | 3.52634i | ||||
\(281\) | 3.49692 | − | 3.62116i | 0.208609 | − | 0.216021i | −0.606880 | − | 0.794793i | \(-0.707579\pi\) |
0.815489 | + | 0.578773i | \(0.196468\pi\) | |||||||
\(282\) | 22.8163 | − | 48.9297i | 1.35869 | − | 2.91372i | ||||
\(283\) | −21.6968 | − | 24.9593i | −1.28974 | − | 1.48367i | −0.783665 | − | 0.621184i | \(-0.786652\pi\) |
−0.506073 | − | 0.862490i | \(-0.668903\pi\) | |||||||
\(284\) | 5.15609 | + | 15.8688i | 0.305958 | + | 0.941641i | ||||
\(285\) | −12.4041 | − | 22.7881i | −0.734755 | − | 1.34985i | ||||
\(286\) | 2.98906 | − | 9.19938i | 0.176747 | − | 0.543971i | ||||
\(287\) | 37.1975 | − | 15.7894i | 2.19570 | − | 0.932019i | ||||
\(288\) | −43.5353 | − | 5.34546i | −2.56534 | − | 0.314984i | ||||
\(289\) | −0.979171 | + | 6.96716i | −0.0575983 | + | 0.409833i | ||||
\(290\) | 52.1027 | + | 11.1231i | 3.05958 | + | 0.653169i | ||||
\(291\) | −0.260072 | + | 7.44748i | −0.0152457 | + | 0.436579i | ||||
\(292\) | −28.6927 | + | 11.0141i | −1.67911 | + | 0.644550i | ||||
\(293\) | 2.77058 | + | 10.3399i | 0.161859 | + | 0.604066i | 0.998420 | + | 0.0561919i | \(0.0178959\pi\) |
−0.836561 | + | 0.547874i | \(0.815437\pi\) | |||||||
\(294\) | −73.1653 | − | 18.2422i | −4.26709 | − | 1.06390i | ||||
\(295\) | 7.39138 | − | 15.8143i | 0.430343 | − | 0.920741i | ||||
\(296\) | 41.3343 | − | 18.4032i | 2.40251 | − | 1.06966i | ||||
\(297\) | −7.35090 | + | 5.95264i | −0.426543 | + | 0.345407i | ||||
\(298\) | 2.31409 | + | 18.8468i | 0.134052 | + | 1.09177i | ||||
\(299\) | 0.700481 | − | 3.97263i | 0.0405099 | − | 0.229743i | ||||
\(300\) | 64.4111 | + | 3.49018i | 3.71878 | + | 0.201505i | ||||
\(301\) | 6.98352 | − | 2.54179i | 0.402523 | − | 0.146506i | ||||
\(302\) | 12.5861 | − | 54.5162i | 0.724246 | − | 3.13706i | ||||
\(303\) | −13.8596 | + | 2.19514i | −0.796211 | + | 0.126108i | ||||
\(304\) | 32.4144 | − | 27.7935i | 1.85909 | − | 1.59407i | ||||
\(305\) | −11.9102 | − | 2.32608i | −0.681978 | − | 0.133191i | ||||
\(306\) | 2.35413 | − | 33.6657i | 0.134577 | − | 1.92454i | ||||
\(307\) | −11.9801 | − | 5.58643i | −0.683743 | − | 0.318834i | 0.0495266 | − | 0.998773i | \(-0.484229\pi\) |
−0.733269 | + | 0.679938i | \(0.762007\pi\) | |||||||
\(308\) | −1.16861 | − | 66.9494i | −0.0665875 | − | 3.81480i | ||||
\(309\) | 0.194429 | + | 1.38344i | 0.0110607 | + | 0.0787010i | ||||
\(310\) | 25.6587 | − | 30.5239i | 1.45732 | − | 1.73364i | ||||
\(311\) | −17.1300 | + | 3.64110i | −0.971354 | + | 0.206468i | −0.666149 | − | 0.745819i | \(-0.732058\pi\) |
−0.305205 | + | 0.952287i | \(0.598725\pi\) | |||||||
\(312\) | 12.1988 | + | 18.7845i | 0.690622 | + | 1.06346i | ||||
\(313\) | 2.35162 | + | 10.1860i | 0.132922 | + | 0.575746i | 0.997335 | + | 0.0729640i | \(0.0232458\pi\) |
−0.864413 | + | 0.502782i | \(0.832310\pi\) | |||||||
\(314\) | −6.18574 | − | 15.3102i | −0.349081 | − | 0.864007i | ||||
\(315\) | 29.5717 | − | 24.7689i | 1.66617 | − | 1.39557i | ||||
\(316\) | −57.5515 | − | 51.8196i | −3.23753 | − | 2.91508i | ||||
\(317\) | 13.8938 | + | 7.70147i | 0.780355 | + | 0.432558i | 0.824071 | − | 0.566486i | \(-0.191698\pi\) |
−0.0437165 | + | 0.999044i | \(0.513920\pi\) | |||||||
\(318\) | 13.3028 | + | 18.9983i | 0.745981 | + | 1.06537i | ||||
\(319\) | 21.4342 | + | 20.6988i | 1.20009 | + | 1.15891i | ||||
\(320\) | 2.95584 | + | 18.7701i | 0.165236 | + | 1.04928i | ||||
\(321\) | −1.56683 | − | 6.28420i | −0.0874518 | − | 0.350750i | ||||
\(322\) | −6.17105 | − | 38.9625i | −0.343899 | − | 2.17129i | ||||
\(323\) | 9.49076 | + | 9.96235i | 0.528080 | + | 0.554320i | ||||
\(324\) | 22.1155i | 1.22864i | ||||||||
\(325\) | −3.39134 | − | 4.51710i | −0.188118 | − | 0.250564i | ||||
\(326\) | −12.8121 | − | 35.2011i | −0.709599 | − | 1.94961i | ||||
\(327\) | 3.73325 | − | 2.81320i | 0.206449 | − | 0.155570i | ||||
\(328\) | −71.2761 | − | 1.24413i | −3.93556 | − | 0.0686955i | ||||
\(329\) | −27.1310 | + | 18.3001i | −1.49578 | + | 1.00892i | ||||
\(330\) | 41.7222 | + | 29.2694i | 2.29673 | + | 1.61123i | ||||
\(331\) | 5.71048 | − | 0.600195i | 0.313876 | − | 0.0329897i | 0.0537193 | − | 0.998556i | \(-0.482892\pi\) |
0.260157 | + | 0.965566i | \(0.416226\pi\) | |||||||
\(332\) | −2.56894 | + | 29.3632i | −0.140989 | + | 1.61151i | ||||
\(333\) | 12.7837 | + | 21.2756i | 0.700542 | + | 1.16590i | ||||
\(334\) | 1.43904 | − | 6.77016i | 0.0787409 | − | 0.370447i | ||||
\(335\) | 17.6617 | − | 9.37080i | 0.964960 | − | 0.511981i | ||||
\(336\) | 86.7548 | + | 67.7803i | 4.73286 | + | 3.69772i | ||||
\(337\) | −23.1921 | − | 17.4765i | −1.26335 | − | 0.952005i | −0.263433 | − | 0.964678i | \(-0.584855\pi\) |
−0.999920 | + | 0.0126727i | \(0.995966\pi\) | |||||||
\(338\) | −8.96888 | + | 29.3359i | −0.487843 | + | 1.59566i | ||||
\(339\) | −8.90078 | + | 0.310822i | −0.483424 | + | 0.0168815i | ||||
\(340\) | −33.4677 | + | 7.08278i | −1.81504 | + | 0.384118i | ||||
\(341\) | 21.2105 | − | 6.89171i | 1.14861 | − | 0.373207i | ||||
\(342\) | 34.4192 | + | 31.4166i | 1.86118 | + | 1.69882i | ||||
\(343\) | 11.4225 | + | 11.4225i | 0.616755 | + | 0.616755i | ||||
\(344\) | −13.0783 | − | 0.914524i | −0.705135 | − | 0.0493079i | ||||
\(345\) | 18.9291 | + | 9.66603i | 1.01911 | + | 0.520401i | ||||
\(346\) | −14.6561 | + | 30.0495i | −0.787918 | + | 1.61547i | ||||
\(347\) | −0.113358 | + | 6.49428i | −0.00608538 | + | 0.348631i | 0.981492 | + | 0.191501i | \(0.0613354\pi\) |
−0.987578 | + | 0.157130i | \(0.949776\pi\) | |||||||
\(348\) | −116.599 | + | 14.3166i | −6.25038 | + | 0.767450i | ||||
\(349\) | −2.43010 | + | 1.40302i | −0.130080 | + | 0.0751020i | −0.563628 | − | 0.826029i | \(-0.690595\pi\) |
0.433548 | + | 0.901131i | \(0.357262\pi\) | |||||||
\(350\) | −45.7389 | − | 30.9694i | −2.44485 | − | 1.65539i | ||||
\(351\) | −2.50149 | + | 2.09900i | −0.133520 | + | 0.112036i | ||||
\(352\) | −13.7258 | + | 32.3359i | −0.731587 | + | 1.72351i | ||||
\(353\) | −10.4758 | − | 4.02128i | −0.557570 | − | 0.214031i | 0.0632313 | − | 0.997999i | \(-0.479859\pi\) |
−0.620802 | + | 0.783968i | \(0.713193\pi\) | |||||||
\(354\) | −5.68374 | + | 54.0772i | −0.302088 | + | 2.87417i | ||||
\(355\) | 5.04536 | + | 5.81443i | 0.267780 | + | 0.308598i | ||||
\(356\) | −40.8644 | + | 19.9309i | −2.16581 | + | 1.05634i | ||||
\(357\) | −20.3489 | + | 29.0612i | −1.07698 | + | 1.53808i | ||||
\(358\) | −8.55560 | + | 1.66304i | −0.452178 | + | 0.0878944i | ||||
\(359\) | −7.57935 | − | 3.06226i | −0.400023 | − | 0.161620i | 0.165775 | − | 0.986164i | \(-0.446987\pi\) |
−0.565798 | + | 0.824544i | \(0.691432\pi\) | |||||||
\(360\) | −65.4294 | + | 18.6988i | −3.44843 | + | 0.985515i | ||||
\(361\) | −18.9211 | + | 1.72946i | −0.995849 | + | 0.0910241i | ||||
\(362\) | 26.8935 | + | 13.7029i | 1.41349 | + | 0.720209i | ||||
\(363\) | −0.303651 | − | 0.715356i | −0.0159375 | − | 0.0375465i | ||||
\(364\) | −0.806749 | − | 23.1023i | −0.0422852 | − | 1.21089i | ||||
\(365\) | −10.2089 | + | 9.84116i | −0.534359 | + | 0.515110i | ||||
\(366\) | 37.4325 | − | 5.26079i | 1.95663 | − | 0.274986i | ||||
\(367\) | 0.134317 | − | 0.242314i | 0.00701127 | − | 0.0126487i | −0.871091 | − | 0.491121i | \(-0.836587\pi\) |
0.878102 | + | 0.478473i | \(0.158809\pi\) | |||||||
\(368\) | −9.05311 | + | 33.7867i | −0.471926 | + | 1.76125i | ||||
\(369\) | −4.08772 | − | 38.8921i | −0.212798 | − | 2.02464i | ||||
\(370\) | 24.2631 | − | 25.9728i | 1.26138 | − | 1.35026i | ||||
\(371\) | −0.980685 | − | 14.0245i | −0.0509146 | − | 0.728113i | ||||
\(372\) | −31.5098 | + | 82.0858i | −1.63371 | + | 4.25595i | ||||
\(373\) | −3.64222 | + | 5.60853i | −0.188587 | + | 0.290399i | −0.920299 | − | 0.391215i | \(-0.872055\pi\) |
0.731712 | + | 0.681614i | \(0.238722\pi\) | |||||||
\(374\) | −25.3981 | − | 9.24415i | −1.31330 | − | 0.478004i | ||||
\(375\) | 27.9935 | − | 10.1046i | 1.44558 | − | 0.521797i | ||||
\(376\) | 56.8546 | − | 10.0250i | 2.93205 | − | 0.517000i | ||||
\(377\) | 7.52329 | + | 7.01558i | 0.387469 | + | 0.361321i | ||||
\(378\) | −16.4469 | + | 27.3723i | −0.845938 | + | 1.40788i | ||||
\(379\) | −14.5748 | − | 10.5892i | −0.748659 | − | 0.543933i | 0.146752 | − | 0.989173i | \(-0.453118\pi\) |
−0.895411 | + | 0.445241i | \(0.853118\pi\) | |||||||
\(380\) | 21.0329 | − | 42.2972i | 1.07896 | − | 2.16980i | ||||
\(381\) | 14.3634 | − | 10.4357i | 0.735861 | − | 0.534635i | ||||
\(382\) | 1.50576 | + | 17.2110i | 0.0770416 | + | 0.880589i | ||||
\(383\) | 3.26966 | + | 16.8209i | 0.167072 | + | 0.859510i | 0.966090 | + | 0.258204i | \(0.0831306\pi\) |
−0.799019 | + | 0.601306i | \(0.794647\pi\) | |||||||
\(384\) | −0.955862 | − | 1.79771i | −0.0487786 | − | 0.0917392i | ||||
\(385\) | −12.5405 | − | 28.2338i | −0.639123 | − | 1.43893i | ||||
\(386\) | −36.8994 | + | 47.2291i | −1.87813 | + | 2.40390i | ||||
\(387\) | −0.376398 | − | 7.18211i | −0.0191334 | − | 0.365087i | ||||
\(388\) | −11.3789 | + | 7.38952i | −0.577674 | + | 0.375146i | ||||
\(389\) | 24.9027 | − | 10.0614i | 1.26262 | − | 0.510131i | 0.356953 | − | 0.934123i | \(-0.383816\pi\) |
0.905666 | + | 0.423991i | \(0.139371\pi\) | |||||||
\(390\) | 14.5779 | + | 9.85170i | 0.738178 | + | 0.498860i | ||||
\(391\) | −11.0254 | − | 2.34352i | −0.557577 | − | 0.118517i | ||||
\(392\) | −28.8967 | − | 75.2784i | −1.45950 | − | 3.80213i | ||||
\(393\) | 31.8510 | − | 14.8524i | 1.60667 | − | 0.749202i | ||||
\(394\) | −26.3325 | − | 53.9897i | −1.32661 | − | 2.71996i | ||||
\(395\) | −33.7734 | − | 11.6626i | −1.69933 | − | 0.586811i | ||||
\(396\) | −62.2894 | − | 17.8612i | −3.13016 | − | 0.897558i | ||||
\(397\) | −3.59070 | − | 2.15751i | −0.180212 | − | 0.108282i | 0.422079 | − | 0.906559i | \(-0.361301\pi\) |
−0.602290 | + | 0.798277i | \(0.705745\pi\) | |||||||
\(398\) | 27.1550 | + | 53.2946i | 1.36116 | + | 2.67142i | ||||
\(399\) | −14.0049 | − | 46.9448i | −0.701122 | − | 2.35018i | ||||
\(400\) | 25.8811 | + | 41.5822i | 1.29405 | + | 2.07911i | ||||
\(401\) | 4.86972 | − | 5.80351i | 0.243182 | − | 0.289814i | −0.630623 | − | 0.776089i | \(-0.717201\pi\) |
0.873805 | + | 0.486276i | \(0.161645\pi\) | |||||||
\(402\) | −42.4740 | + | 45.5477i | −2.11841 | + | 2.27171i | ||||
\(403\) | 7.27983 | − | 2.50665i | 0.362634 | − | 0.124865i | ||||
\(404\) | −17.7474 | − | 18.3779i | −0.882965 | − | 0.914337i | ||||
\(405\) | 3.97852 | + | 9.39597i | 0.197694 | + | 0.466889i | ||||
\(406\) | 91.8989 | + | 40.9160i | 4.56087 | + | 2.03063i | ||||
\(407\) | 19.2012 | − | 5.14496i | 0.951770 | − | 0.255026i | ||||
\(408\) | 53.6460 | − | 32.2338i | 2.65587 | − | 1.59581i | ||||
\(409\) | 23.3849 | + | 14.6125i | 1.15631 | + | 0.722543i | 0.965837 | − | 0.259150i | \(-0.0834424\pi\) |
0.190473 | + | 0.981692i | \(0.438998\pi\) | |||||||
\(410\) | −51.9400 | + | 20.9316i | −2.56513 | + | 1.03374i | ||||
\(411\) | −7.55715 | − | 35.5536i | −0.372767 | − | 1.75373i | ||||
\(412\) | −1.86023 | + | 1.73470i | −0.0916471 | + | 0.0854623i | ||||
\(413\) | 19.8362 | − | 26.3235i | 0.976074 | − | 1.29529i | ||||
\(414\) | −37.8041 | − | 5.31302i | −1.85797 | − | 0.261120i | ||||
\(415\) | 4.19092 | + | 12.9373i | 0.205724 | + | 0.635069i | ||||
\(416\) | −4.54299 | + | 11.2443i | −0.222738 | + | 0.551297i | ||||
\(417\) | −25.8333 | − | 4.09159i | −1.26506 | − | 0.200366i | ||||
\(418\) | 31.7845 | − | 19.5626i | 1.55463 | − | 0.956836i | ||||
\(419\) | 6.80155 | + | 9.36153i | 0.332278 | + | 0.457341i | 0.942166 | − | 0.335146i | \(-0.108786\pi\) |
−0.609889 | + | 0.792487i | \(0.708786\pi\) | |||||||
\(420\) | 117.620 | + | 31.6279i | 5.73925 | + | 1.54328i | ||||
\(421\) | −3.24662 | + | 11.3223i | −0.158231 | + | 0.551816i | 0.841699 | + | 0.539947i | \(0.181556\pi\) |
−0.999930 | + | 0.0118686i | \(0.996222\pi\) | |||||||
\(422\) | −14.2666 | − | 41.4331i | −0.694485 | − | 2.01693i | ||||
\(423\) | 9.25948 | + | 30.2864i | 0.450211 | + | 1.47258i | ||||
\(424\) | −8.48241 | + | 23.3052i | −0.411942 | + | 1.13180i | ||||
\(425\) | −12.9449 | + | 9.02993i | −0.627918 | + | 0.438016i | ||||
\(426\) | −20.7669 | − | 11.9898i | −1.00616 | − | 0.580905i | ||||
\(427\) | −21.0920 | − | 8.95301i | −1.02071 | − | 0.433266i | ||||
\(428\) | 7.73610 | − | 8.89937i | 0.373939 | − | 0.430167i | ||||
\(429\) | 4.00247 | + | 8.98969i | 0.193241 | + | 0.434026i | ||||
\(430\) | −9.74055 | + | 3.34428i | −0.469731 | + | 0.161276i | ||||
\(431\) | 0.429982 | + | 1.49953i | 0.0207115 | + | 0.0722297i | 0.970939 | − | 0.239328i | \(-0.0769271\pi\) |
−0.950227 | + | 0.311558i | \(0.899149\pi\) | |||||||
\(432\) | 23.1945 | − | 16.2409i | 1.11594 | − | 0.781393i | ||||
\(433\) | −4.01667 | + | 0.0701112i | −0.193029 | + | 0.00336933i | −0.113885 | − | 0.993494i | \(-0.536330\pi\) |
−0.0791435 | + | 0.996863i | \(0.525219\pi\) | |||||||
\(434\) | 59.3312 | − | 46.3546i | 2.84799 | − | 2.22509i | ||||
\(435\) | −46.9627 | + | 27.0584i | −2.25169 | + | 1.29735i | ||||
\(436\) | 8.09426 | + | 2.62999i | 0.387645 | + | 0.125953i | ||||
\(437\) | 11.9909 | − | 9.92368i | 0.573601 | − | 0.474714i | ||||
\(438\) | 20.0525 | − | 39.3552i | 0.958144 | − | 1.88046i | ||||
\(439\) | 4.03130 | − | 2.51903i | 0.192403 | − | 0.120227i | −0.430297 | − | 0.902687i | \(-0.641591\pi\) |
0.622700 | + | 0.782460i | \(0.286036\pi\) | |||||||
\(440\) | −0.0483170 | + | 54.4992i | −0.00230342 | + | 2.59815i | ||||
\(441\) | 39.0562 | − | 20.7666i | 1.85982 | − | 0.988884i | ||||
\(442\) | −8.82251 | − | 3.03783i | −0.419644 | − | 0.144495i | ||||
\(443\) | −13.2731 | − | 28.4643i | −0.630626 | − | 1.35238i | −0.918769 | − | 0.394795i | \(-0.870816\pi\) |
0.288143 | − | 0.957587i | \(-0.406962\pi\) | |||||||
\(444\) | −31.8765 | + | 71.5959i | −1.51279 | + | 3.39779i | ||||
\(445\) | −13.7761 | + | 15.8192i | −0.653048 | + | 0.749902i | ||||
\(446\) | 1.00267 | − | 0.0701136i | 0.0474779 | − | 0.00331998i | ||||
\(447\) | −14.5790 | − | 12.6734i | −0.689565 | − | 0.599429i | ||||
\(448\) | −1.87771 | + | 35.8289i | −0.0887135 | + | 1.69275i | ||||
\(449\) | 15.1708 | + | 26.2766i | 0.715954 | + | 1.24007i | 0.962590 | + | 0.270961i | \(0.0873414\pi\) |
−0.246636 | + | 0.969108i | \(0.579325\pi\) | |||||||
\(450\) | −41.6022 | + | 33.5669i | −1.96115 | + | 1.58236i | ||||
\(451\) | −30.8437 | − | 5.43858i | −1.45238 | − | 0.256093i | ||||
\(452\) | −9.75863 | − | 12.9501i | −0.459007 | − | 0.609123i | ||||
\(453\) | 27.5953 | + | 49.7832i | 1.29654 | + | 2.33902i | ||||
\(454\) | 17.7430 | − | 4.42383i | 0.832722 | − | 0.207621i | ||||
\(455\) | −4.49879 | − | 9.67006i | −0.210907 | − | 0.453340i | ||||
\(456\) | −11.1139 | + | 85.7043i | −0.520457 | + | 4.01347i | ||||
\(457\) | 28.8139 | − | 28.8139i | 1.34786 | − | 1.34786i | 0.459868 | − | 0.887987i | \(-0.347897\pi\) |
0.887987 | − | 0.459868i | \(-0.152103\pi\) | |||||||
\(458\) | −42.8463 | + | 37.2457i | −2.00208 | + | 1.74038i | ||||
\(459\) | 5.61758 | + | 7.19018i | 0.262206 | + | 0.335609i | ||||
\(460\) | 5.35163 | + | 38.3254i | 0.249521 | + | 1.78693i | ||||
\(461\) | 23.0865 | + | 12.2753i | 1.07525 | + | 0.571718i | 0.910031 | − | 0.414539i | \(-0.136057\pi\) |
0.165214 | + | 0.986258i | \(0.447168\pi\) | |||||||
\(462\) | 65.6293 | + | 70.3789i | 3.05335 | + | 3.27432i | ||||
\(463\) | −32.6770 | + | 1.71253i | −1.51863 | + | 0.0795880i | −0.793308 | − | 0.608821i | \(-0.791643\pi\) |
−0.725323 | + | 0.688409i | \(0.758309\pi\) | |||||||
\(464\) | −59.6851 | − | 66.2870i | −2.77081 | − | 3.07730i | ||||
\(465\) | 1.37982 | + | 40.5434i | 0.0639876 | + | 1.88015i | ||||
\(466\) | 18.4899 | − | 29.5901i | 0.856530 | − | 1.37073i | ||||
\(467\) | −9.67765 | − | 7.83680i | −0.447828 | − | 0.362644i | 0.378719 | − | 0.925512i | \(-0.376365\pi\) |
−0.826547 | + | 0.562868i | \(0.809698\pi\) | |||||||
\(468\) | −21.6084 | − | 5.78995i | −0.998849 | − | 0.267641i | ||||
\(469\) | 36.2891 | − | 10.4057i | 1.67567 | − | 0.480492i | ||||
\(470\) | 38.0563 | − | 24.6661i | 1.75540 | − | 1.13776i | ||||
\(471\) | 15.0987 | + | 7.36411i | 0.695710 | + | 0.339320i | ||||
\(472\) | −50.8554 | + | 28.1896i | −2.34081 | + | 1.29753i | ||||
\(473\) | −5.61229 | − | 1.29570i | −0.258054 | − | 0.0595763i | ||||
\(474\) | 111.297 | 5.11206 | ||||||||
\(475\) | 1.32685 | − | 21.7541i | 0.0608801 | − | 0.998145i | ||||
\(476\) | −64.5925 | −2.96059 | ||||||||
\(477\) | −13.2565 | − | 3.06050i | −0.606973 | − | 0.140131i | ||||
\(478\) | 57.1327 | − | 31.6692i | 2.61319 | − | 1.44851i | ||||
\(479\) | 23.6530 | + | 11.5363i | 1.08073 | + | 0.527109i | 0.890664 | − | 0.454662i | \(-0.150240\pi\) |
0.190069 | + | 0.981771i | \(0.439129\pi\) | |||||||
\(480\) | −49.6223 | − | 40.2562i | −2.26494 | − | 1.83744i | ||||
\(481\) | 6.59681 | − | 1.89160i | 0.300789 | − | 0.0862498i | ||||
\(482\) | −35.1552 | − | 9.41981i | −1.60128 | − | 0.429061i | ||||
\(483\) | 31.1883 | + | 25.2558i | 1.41912 | + | 1.14918i | ||||
\(484\) | 0.749789 | − | 1.19991i | 0.0340813 | − | 0.0545415i | ||||
\(485\) | −3.50505 | + | 5.18652i | −0.159156 | + | 0.235508i | ||||
\(486\) | −36.4499 | − | 40.4818i | −1.65340 | − | 1.83629i | ||||
\(487\) | 20.8514 | − | 1.09278i | 0.944868 | − | 0.0495184i | 0.426325 | − | 0.904570i | \(-0.359808\pi\) |
0.518543 | + | 0.855052i | \(0.326475\pi\) | |||||||
\(488\) | 27.5675 | + | 29.5625i | 1.24792 | + | 1.33823i | ||||
\(489\) | 33.6486 | + | 17.8913i | 1.52164 | + | 0.809072i | ||||
\(490\) | −43.9603 | − | 45.6031i | −1.98593 | − | 2.06014i | ||||
\(491\) | −12.7648 | − | 16.3382i | −0.576066 | − | 0.737331i | 0.408420 | − | 0.912794i | \(-0.366080\pi\) |
−0.984486 | + | 0.175463i | \(0.943858\pi\) | |||||||
\(492\) | 93.1896 | − | 81.0085i | 4.20131 | − | 3.65215i | ||||
\(493\) | 20.3249 | − | 20.3249i | 0.915386 | − | 0.915386i | ||||
\(494\) | 10.8534 | − | 6.94403i | 0.488316 | − | 0.312427i | ||||
\(495\) | −29.6773 | + | 3.61721i | −1.33390 | + | 0.162582i | ||||
\(496\) | −64.7784 | + | 16.1511i | −2.90864 | + | 0.725205i | ||||
\(497\) | 7.04703 | + | 12.7132i | 0.316103 | + | 0.570264i | ||||
\(498\) | −25.4932 | − | 33.8306i | −1.14238 | − | 1.51598i | ||||
\(499\) | −19.7621 | − | 3.48460i | −0.884675 | − | 0.155992i | −0.287191 | − | 0.957873i | \(-0.592722\pi\) |
−0.597483 | + | 0.801881i | \(0.703833\pi\) | |||||||
\(500\) | 44.3036 | + | 31.1976i | 1.98132 | + | 1.39520i | ||||
\(501\) | 3.52068 | + | 6.09800i | 0.157292 | + | 0.272439i | ||||
\(502\) | −0.639375 | + | 12.2000i | −0.0285367 | + | 0.544513i | ||||
\(503\) | 2.75242 | + | 2.39264i | 0.122724 | + | 0.106683i | 0.715249 | − | 0.698870i | \(-0.246313\pi\) |
−0.592525 | + | 0.805552i | \(0.701869\pi\) | |||||||
\(504\) | −128.175 | + | 8.96289i | −5.70938 | + | 0.399239i | ||||
\(505\) | −10.8463 | − | 4.61532i | −0.482652 | − | 0.205379i | ||||
\(506\) | −12.4356 | + | 27.9309i | −0.552831 | + | 1.24168i | ||||
\(507\) | −13.1890 | − | 28.2840i | −0.585746 | − | 1.25614i | ||||
\(508\) | 30.5636 | + | 10.5239i | 1.35604 | + | 0.466922i | ||||
\(509\) | 11.2559 | − | 5.98488i | 0.498910 | − | 0.265275i | −0.200890 | − | 0.979614i | \(-0.564384\pi\) |
0.699800 | + | 0.714339i | \(0.253272\pi\) | |||||||
\(510\) | 28.9328 | − | 39.7484i | 1.28117 | − | 1.76009i | ||||
\(511\) | −22.7058 | + | 14.1882i | −1.00445 | + | 0.627647i | ||||
\(512\) | −18.5060 | + | 36.3201i | −0.817857 | + | 1.60514i | ||||
\(513\) | −12.5994 | − | 0.0854851i | −0.556277 | − | 0.00377426i | ||||
\(514\) | −27.6833 | − | 8.99485i | −1.22106 | − | 0.396746i | ||||
\(515\) | −0.478268 | + | 1.07165i | −0.0210750 | + | 0.0472226i | ||||
\(516\) | 17.8945 | − | 13.9808i | 0.787763 | − | 0.615468i | ||||
\(517\) | 25.3603 | − | 0.442665i | 1.11534 | − | 0.0194684i | ||||
\(518\) | 54.9740 | − | 38.4932i | 2.41542 | − | 1.69129i | ||||
\(519\) | −9.37514 | − | 32.6950i | −0.411523 | − | 1.43515i | ||||
\(520\) | 0.311683 | + | 18.8121i | 0.0136682 | + | 0.824965i | ||||
\(521\) | 10.5816 | + | 23.7666i | 0.463587 | + | 1.04123i | 0.982475 | + | 0.186392i | \(0.0596794\pi\) |
−0.518888 | + | 0.854842i | \(0.673654\pi\) | |||||||
\(522\) | 63.8679 | − | 73.4716i | 2.79542 | − | 3.21576i | ||||
\(523\) | −0.935098 | − | 0.396926i | −0.0408890 | − | 0.0173563i | 0.370190 | − | 0.928956i | \(-0.379292\pi\) |
−0.411079 | + | 0.911600i | \(0.634848\pi\) | |||||||
\(524\) | 55.4129 | + | 31.9926i | 2.42072 | + | 1.39761i | ||||
\(525\) | 55.6615 | − | 7.72209i | 2.42927 | − | 0.337020i | ||||
\(526\) | 13.9891 | − | 38.4347i | 0.609953 | − | 1.67583i | ||||
\(527\) | −6.28998 | − | 20.5736i | −0.273996 | − | 0.896200i | ||||
\(528\) | −27.7800 | − | 80.6789i | −1.20897 | − | 3.51110i | ||||
\(529\) | 2.82514 | − | 9.85242i | 0.122832 | − | 0.428366i | ||||
\(530\) | 1.00237 | + | 19.4564i | 0.0435402 | + | 0.845132i | ||||
\(531\) | −18.7488 | − | 25.8055i | −0.813628 | − | 1.11986i | ||||
\(532\) | 55.3887 | − | 69.9114i | 2.40141 | − | 3.03104i | ||||
\(533\) | −10.6793 | − | 1.69143i | −0.462571 | − | 0.0732641i | ||||
\(534\) | 24.4772 | − | 60.5833i | 1.05923 | − | 2.62169i | ||||
\(535\) | 1.68577 | − | 5.17267i | 0.0728824 | − | 0.223634i | ||||
\(536\) | −65.9492 | − | 9.26856i | −2.84857 | − | 0.400341i | ||||
\(537\) | 5.33616 | − | 7.08133i | 0.230272 | − | 0.305582i | ||||
\(538\) | 14.4179 | − | 13.4449i | 0.621599 | − | 0.579651i | ||||
\(539\) | −7.36551 | − | 34.6520i | −0.317255 | − | 1.49257i | ||||
\(540\) | 16.6235 | − | 26.5508i | 0.715363 | − | 1.14256i | ||||
\(541\) | −22.1772 | − | 13.8579i | −0.953474 | − | 0.595796i | −0.0384776 | − | 0.999259i | \(-0.512251\pi\) |
−0.914996 | + | 0.403463i | \(0.867806\pi\) | |||||||
\(542\) | 12.2191 | − | 7.34198i | 0.524856 | − | 0.315365i | ||||
\(543\) | −29.6601 | + | 7.94739i | −1.27284 | + | 0.341055i | ||||
\(544\) | 30.9570 | + | 13.7829i | 1.32727 | + | 0.590939i | ||||
\(545\) | 3.91204 | − | 0.338765i | 0.167573 | − | 0.0145111i | ||||
\(546\) | 23.0777 | + | 23.8977i | 0.987635 | + | 1.02273i | ||||
\(547\) | −34.9834 | + | 12.0458i | −1.49578 | + | 0.515040i | −0.947086 | − | 0.320981i | \(-0.895988\pi\) |
−0.548698 | + | 0.836020i | \(0.684876\pi\) | |||||||
\(548\) | 45.1332 | − | 48.3994i | 1.92799 | − | 2.06752i | ||||
\(549\) | −14.2534 | + | 16.9865i | −0.608319 | + | 0.724967i | ||||
\(550\) | 16.6579 | + | 39.4378i | 0.710294 | + | 1.68163i | ||||
\(551\) | 4.56975 | + | 39.4273i | 0.194678 | + | 1.67966i | ||||
\(552\) | −32.1409 | − | 63.0800i | −1.36801 | − | 2.68486i | ||||
\(553\) | −57.8290 | − | 34.7472i | −2.45914 | − | 1.47760i | ||||
\(554\) | 2.25503 | + | 0.646619i | 0.0958069 | + | 0.0274722i | ||||
\(555\) | −0.663108 | + | 36.1526i | −0.0281474 | + | 1.53459i | ||||
\(556\) | −20.8754 | − | 42.8009i | −0.885314 | − | 1.81516i | ||||
\(557\) | 20.9961 | − | 9.79065i | 0.889634 | − | 0.414843i | 0.0766016 | − | 0.997062i | \(-0.475593\pi\) |
0.813032 | + | 0.582219i | \(0.197815\pi\) | |||||||
\(558\) | −26.1120 | − | 68.0240i | −1.10541 | − | 2.87969i | ||||
\(559\) | −1.94504 | − | 0.413430i | −0.0822662 | − | 0.0174862i | ||||
\(560\) | 31.5531 | + | 86.9311i | 1.33336 | + | 3.67351i | ||||
\(561\) | 25.4943 | − | 10.3004i | 1.07637 | − | 0.434882i | ||||
\(562\) | −11.0469 | + | 7.17394i | −0.465986 | + | 0.302615i | ||||
\(563\) | 0.398745 | + | 7.60852i | 0.0168051 | + | 0.320661i | 0.994078 | + | 0.108673i | \(0.0346602\pi\) |
−0.977272 | + | 0.211987i | \(0.932006\pi\) | |||||||
\(564\) | −61.5650 | + | 78.7997i | −2.59236 | + | 3.31806i | ||||
\(565\) | −6.47573 | − | 3.74642i | −0.272436 | − | 0.157613i | ||||
\(566\) | 40.6253 | + | 76.4050i | 1.70761 | + | 3.21154i | ||||
\(567\) | 3.67615 | + | 18.9122i | 0.154384 | + | 0.794236i | ||||
\(568\) | −2.23488 | − | 25.5448i | −0.0937734 | − | 1.07183i | ||||
\(569\) | −11.9476 | + | 8.68044i | −0.500870 | + | 0.363903i | −0.809349 | − | 0.587328i | \(-0.800180\pi\) |
0.308480 | + | 0.951231i | \(0.400180\pi\) | |||||||
\(570\) | 18.2113 | + | 65.3999i | 0.762789 | + | 2.73930i | ||||
\(571\) | 8.08688 | + | 5.87546i | 0.338425 | + | 0.245880i | 0.743997 | − | 0.668183i | \(-0.232928\pi\) |
−0.405572 | + | 0.914063i | \(0.632928\pi\) | |||||||
\(572\) | −9.22756 | + | 15.3572i | −0.385824 | + | 0.642119i | ||||
\(573\) | −12.8544 | − | 11.9869i | −0.536999 | − | 0.500759i | ||||
\(574\) | −104.130 | + | 18.3609i | −4.34628 | + | 0.766367i | ||||
\(575\) | 9.16831 | + | 15.3201i | 0.382345 | + | 0.638892i | ||||
\(576\) | 32.6268 | + | 11.8752i | 1.35945 | + | 0.494799i | ||||
\(577\) | 20.4354 | − | 31.4677i | 0.850736 | − | 1.31002i | −0.0983980 | − | 0.995147i | \(-0.531372\pi\) |
0.949134 | − | 0.314872i | \(-0.101962\pi\) | |||||||
\(578\) | 6.59732 | − | 17.1866i | 0.274412 | − | 0.714868i | ||||
\(579\) | −4.25328 | − | 60.8248i | −0.176760 | − | 2.52779i | ||||
\(580\) | −89.3983 | − | 41.7836i | −3.71206 | − | 1.73497i | ||||
\(581\) | 2.68405 | + | 25.5370i | 0.111353 | + | 1.05945i | ||||
\(582\) | 5.04668 | − | 18.8344i | 0.209191 | − | 0.780713i | ||||
\(583\) | −5.28256 | + | 9.52999i | −0.218781 | + | 0.394692i | ||||
\(584\) | 46.7726 | − | 6.57346i | 1.93546 | − | 0.272012i | ||||
\(585\) | −10.2221 | + | 1.42738i | −0.422632 | + | 0.0590150i | ||||
\(586\) | −0.977526 | − | 27.9927i | −0.0403812 | − | 1.15637i | ||||
\(587\) | −3.27245 | − | 7.70940i | −0.135068 | − | 0.318201i | 0.839117 | − | 0.543951i | \(-0.183072\pi\) |
−0.974185 | + | 0.225750i | \(0.927517\pi\) | |||||||
\(588\) | 124.445 | + | 63.4079i | 5.13202 | + | 2.61490i | ||||
\(589\) | 27.6615 | + | 10.8341i | 1.13977 | + | 0.446413i | ||||
\(590\) | −28.1528 | + | 35.9682i | −1.15903 | + | 1.48079i | ||||
\(591\) | 56.6603 | + | 22.8922i | 2.33069 | + | 0.941661i | ||||
\(592\) | −58.4136 | + | 11.3545i | −2.40078 | + | 0.466665i | ||||
\(593\) | 1.25408 | − | 1.79102i | 0.0514991 | − | 0.0735483i | −0.792577 | − | 0.609772i | \(-0.791261\pi\) |
0.844076 | + | 0.536224i | \(0.180150\pi\) | |||||||
\(594\) | 22.2450 | − | 10.8496i | 0.912725 | − | 0.445166i | ||||
\(595\) | −27.4427 | + | 11.6200i | −1.12504 | + | 0.476374i | ||||
\(596\) | 3.67635 | − | 34.9781i | 0.150589 | − | 1.43276i | ||||
\(597\) | −56.8089 | − | 21.8069i | −2.32503 | − | 0.892497i | ||||
\(598\) | −4.12420 | + | 9.71600i | −0.168651 | + | 0.397317i | ||||
\(599\) | 24.1712 | − | 20.2820i | 0.987607 | − | 0.828701i | 0.00238784 | − | 0.999997i | \(-0.499240\pi\) |
0.985220 | + | 0.171296i | \(0.0547955\pi\) | |||||||
\(600\) | −95.2439 | − | 27.4936i | −3.88831 | − | 1.12242i | ||||
\(601\) | 5.65590 | − | 3.26544i | 0.230709 | − | 0.133200i | −0.380190 | − | 0.924908i | \(-0.624141\pi\) |
0.610899 | + | 0.791708i | \(0.290808\pi\) | |||||||
\(602\) | −19.3007 | + | 2.36983i | −0.786640 | + | 0.0965872i | ||||
\(603\) | 0.637601 | − | 36.5281i | 0.0259651 | − | 1.48754i | ||||
\(604\) | −45.4296 | + | 93.1445i | −1.84850 | + | 3.79000i | ||||
\(605\) | 0.102693 | − | 0.644678i | 0.00417506 | − | 0.0262099i | ||||
\(606\) | 36.6274 | + | 2.56123i | 1.48788 | + | 0.104043i | ||||
\(607\) | 25.6632 | + | 25.6632i | 1.04164 | + | 1.04164i | 0.999095 | + | 0.0425432i | \(0.0135460\pi\) |
0.0425432 | + | 0.999095i | \(0.486454\pi\) | |||||||
\(608\) | −41.4639 | + | 21.6872i | −1.68158 | + | 0.879530i | ||||
\(609\) | −97.3304 | + | 31.6246i | −3.94403 | + | 1.28149i | ||||
\(610\) | 28.9963 | + | 12.9408i | 1.17403 | + | 0.523957i | ||||
\(611\) | 8.75109 | − | 0.305595i | 0.354031 | − | 0.0123630i | ||||
\(612\) | −18.2758 | + | 59.7775i | −0.738757 | + | 2.41636i | ||||
\(613\) | −7.45733 | − | 5.61950i | −0.301199 | − | 0.226970i | 0.440419 | − | 0.897792i | \(-0.354830\pi\) |
−0.741618 | + | 0.670823i | \(0.765941\pi\) | |||||||
\(614\) | 27.2554 | + | 21.2943i | 1.09994 | + | 0.859368i | ||||
\(615\) | 25.0192 | − | 51.1817i | 1.00887 | − | 2.06385i | ||||
\(616\) | −21.3949 | + | 100.655i | −0.862027 | + | 4.05552i | ||||
\(617\) | 7.24725 | + | 12.0615i | 0.291763 | + | 0.485576i | 0.967946 | − | 0.251158i | \(-0.0808114\pi\) |
−0.676183 | + | 0.736734i | \(0.736367\pi\) | |||||||
\(618\) | 0.318594 | − | 3.64155i | 0.0128157 | − | 0.146485i | ||||
\(619\) | −6.39286 | + | 0.671917i | −0.256951 | + | 0.0270066i | −0.232128 | − | 0.972685i | \(-0.574569\pi\) |
−0.0248228 | + | 0.999692i | \(0.507902\pi\) | |||||||
\(620\) | −59.0259 | + | 44.3972i | −2.37054 | + | 1.78304i | ||||
\(621\) | 8.55699 | − | 5.77176i | 0.343380 | − | 0.231613i | ||||
\(622\) | 45.8165 | + | 0.799731i | 1.83708 | + | 0.0320663i | ||||
\(623\) | −31.6323 | + | 23.8366i | −1.26732 | + | 0.954994i | ||||
\(624\) | −10.0751 | − | 27.6810i | −0.403326 | − | 1.10813i | ||||
\(625\) | 24.4351 | + | 5.28448i | 0.977404 | + | 0.211379i | ||||
\(626\) | − | 27.3536i | − | 1.09327i | ||||||
\(627\) | −10.7131 | + | 36.4263i | −0.427839 | + | 1.45473i | ||||
\(628\) | 4.78458 | + | 30.2086i | 0.190926 | + | 1.20546i | ||||
\(629\) | −4.63906 | − | 18.6063i | −0.184972 | − | 0.741880i | ||||
\(630\) | −89.9727 | + | 45.7429i | −3.58460 | + | 1.82244i | ||||
\(631\) | 11.8975 | + | 11.4893i | 0.473634 | + | 0.457383i | 0.892752 | − | 0.450549i | \(-0.148772\pi\) |
−0.419118 | + | 0.907932i | \(0.637661\pi\) | |||||||
\(632\) | 68.2644 | + | 97.4916i | 2.71541 | + | 3.87801i | ||||
\(633\) | 38.9905 | + | 21.6128i | 1.54973 | + | 0.859031i | ||||
\(634\) | −30.8895 | − | 27.8130i | −1.22678 | − | 1.10460i | ||||
\(635\) | 14.8784 | − | 1.02714i | 0.590431 | − | 0.0407610i | ||||
\(636\) | −16.0924 | − | 39.8301i | −0.638105 | − | 1.57937i | ||||
\(637\) | −2.75118 | − | 11.9167i | −0.109006 | − | 0.472156i | ||||
\(638\) | −42.4636 | − | 65.3883i | −1.68115 | − | 2.58875i | ||||
\(639\) | 13.7594 | − | 2.92465i | 0.544313 | − | 0.115697i | ||||
\(640\) | 0.120817 | − | 1.70603i | 0.00477573 | − | 0.0674369i | ||||
\(641\) | 0.0254412 | + | 0.181023i | 0.00100487 | + | 0.00714999i | 0.990764 | − | 0.135597i | \(-0.0432953\pi\) |
−0.989759 | + | 0.142747i | \(0.954406\pi\) | |||||||
\(642\) | 0.295758 | + | 16.9440i | 0.0116726 | + | 0.668725i | ||||
\(643\) | −14.7845 | − | 6.89410i | −0.583042 | − | 0.271877i | 0.108638 | − | 0.994081i | \(-0.465351\pi\) |
−0.691680 | + | 0.722205i | \(0.743129\pi\) | |||||||
\(644\) | −5.09690 | + | 72.8891i | −0.200846 | + | 2.87223i | ||||
\(645\) | 5.08755 | − | 9.15902i | 0.200322 | − | 0.360636i | ||||
\(646\) | −18.3330 | − | 30.9855i | −0.721303 | − | 1.21911i | ||||
\(647\) | 10.2360 | − | 1.62122i | 0.402419 | − | 0.0637369i | 0.0480556 | − | 0.998845i | \(-0.484698\pi\) |
0.354364 | + | 0.935108i | \(0.384698\pi\) | |||||||
\(648\) | 7.64548 | − | 33.1162i | 0.300343 | − | 1.30093i | ||||
\(649\) | −24.0054 | + | 8.73725i | −0.942294 | + | 0.342967i | ||||
\(650\) | 5.98752 | + | 13.5126i | 0.234850 | + | 0.530008i | ||||
\(651\) | −13.3010 | + | 75.4336i | −0.521307 | + | 2.95648i | ||||
\(652\) | 8.45590 | + | 68.8678i | 0.331158 | + | 2.69707i | ||||
\(653\) | −21.7865 | + | 17.6424i | −0.852573 | + | 0.690400i | −0.952481 | − | 0.304597i | \(-0.901478\pi\) |
0.0999085 | + | 0.994997i | \(0.468145\pi\) | |||||||
\(654\) | −11.1739 | + | 4.97492i | −0.436932 | + | 0.194535i | ||||
\(655\) | 29.2980 | + | 3.62371i | 1.14477 | + | 0.141590i | ||||
\(656\) | 90.9707 | + | 22.6815i | 3.55181 | + | 0.885566i | ||||
\(657\) | 6.70613 | + | 25.0276i | 0.261631 | + | 0.976420i | ||||
\(658\) | 79.9427 | − | 30.6871i | 3.11649 | − | 1.19631i | ||||
\(659\) | 0.391289 | − | 11.2051i | 0.0152425 | − | 0.436487i | −0.967649 | − | 0.252301i | \(-0.918813\pi\) |
0.982891 | − | 0.184186i | \(-0.0589650\pi\) | |||||||
\(660\) | −63.1031 | − | 70.2082i | −2.45628 | − | 2.73285i | ||||
\(661\) | 4.34092 | − | 30.8873i | 0.168842 | − | 1.20138i | −0.702856 | − | 0.711332i | \(-0.748092\pi\) |
0.871698 | − | 0.490043i | \(-0.163019\pi\) | |||||||
\(662\) | −14.9123 | − | 1.83100i | −0.579582 | − | 0.0711637i | ||||
\(663\) | 8.73796 | − | 3.70904i | 0.339354 | − | 0.144047i | ||||
\(664\) | 13.9978 | − | 43.0809i | 0.543221 | − | 1.67186i | ||||
\(665\) | 10.9555 | − | 39.6667i | 0.424836 | − | 1.53821i | ||||
\(666\) | −20.0694 | − | 61.7673i | −0.777673 | − | 2.39343i | ||||
\(667\) | −21.3317 | − | 24.5393i | −0.825966 | − | 0.950165i | ||||
\(668\) | −5.41799 | + | 11.6189i | −0.209628 | + | 0.449549i | ||||
\(669\) | −0.710316 | + | 0.735553i | −0.0274624 | + | 0.0284381i | ||||
\(670\) | −50.5445 | + | 13.4953i | −1.95270 | + | 0.521371i | ||||
\(671\) | 9.93072 | + | 14.7229i | 0.383371 | + | 0.568371i | ||||
\(672\) | −75.9277 | − | 93.7629i | −2.92897 | − | 3.61698i | ||||
\(673\) | 30.4223 | + | 1.59436i | 1.17269 | + | 0.0614582i | 0.628711 | − | 0.777639i | \(-0.283583\pi\) |
0.543981 | + | 0.839097i | \(0.316916\pi\) | |||||||
\(674\) | 48.8420 | + | 58.2077i | 1.88132 | + | 2.24208i | ||||
\(675\) | 2.28623 | − | 14.2709i | 0.0879969 | − | 0.549286i | ||||
\(676\) | 28.4098 | − | 49.2072i | 1.09268 | − | 1.89258i | ||||
\(677\) | −13.3643 | − | 8.67888i | −0.513632 | − | 0.333557i | 0.261659 | − | 0.965160i | \(-0.415730\pi\) |
−0.775291 | + | 0.631604i | \(0.782397\pi\) | |||||||
\(678\) | 22.8757 | + | 4.44658i | 0.878536 | + | 0.170770i | ||||
\(679\) | −8.50234 | + | 8.21061i | −0.326290 | + | 0.315094i | ||||
\(680\) | 52.5638 | + | 0.964120i | 2.01573 | + | 0.0369723i | ||||
\(681\) | −10.4027 | + | 15.4227i | −0.398634 | + | 0.590999i | ||||
\(682\) | −58.1331 | + | 5.08599i | −2.22603 | + | 0.194753i | ||||
\(683\) | 4.45218 | − | 28.1099i | 0.170358 | − | 1.07560i | −0.743254 | − | 0.669010i | \(-0.766719\pi\) |
0.913612 | − | 0.406588i | \(-0.133281\pi\) | |||||||
\(684\) | −49.0282 | − | 71.0406i | −1.87464 | − | 2.71630i | ||||
\(685\) | 10.4683 | − | 28.6822i | 0.399972 | − | 1.09589i | ||||
\(686\) | −22.3985 | − | 35.8451i | −0.855179 | − | 1.36857i | ||||
\(687\) | 7.03866 | − | 57.3253i | 0.268542 | − | 2.18710i | ||||
\(688\) | 16.4890 | + | 5.04120i | 0.628638 | + | 0.192194i | ||||
\(689\) | −1.76599 | + | 3.32135i | −0.0672790 | + | 0.126533i | ||||
\(690\) | −42.5708 | − | 35.7855i | −1.62064 | − | 1.36233i | ||||
\(691\) | 14.2701 | − | 15.8485i | 0.542860 | − | 0.602907i | −0.407827 | − | 0.913059i | \(-0.633713\pi\) |
0.950687 | + | 0.310152i | \(0.100380\pi\) | |||||||
\(692\) | 38.9713 | − | 48.1255i | 1.48146 | − | 1.82946i | ||||
\(693\) | −56.2359 | − | 4.92000i | −2.13622 | − | 0.186895i | ||||
\(694\) | 4.11157 | − | 16.4906i | 0.156073 | − | 0.625974i | ||||
\(695\) | −16.5688 | − | 14.4289i | −0.628492 | − | 0.547319i | ||||
\(696\) | 179.547 | + | 18.8712i | 6.80573 | + | 0.715311i | ||||
\(697\) | −5.76480 | + | 29.6573i | −0.218357 | + | 1.12335i | ||||
\(698\) | 7.02143 | − | 2.14667i | 0.265765 | − | 0.0812525i | ||||
\(699\) | 6.16394 | + | 34.9574i | 0.233142 | + | 1.32221i | ||||
\(700\) | 69.6440 | + | 74.9500i | 2.63229 | + | 2.83284i | ||||
\(701\) | −12.9975 | − | 10.9062i | −0.490911 | − | 0.411923i | 0.363442 | − | 0.931617i | \(-0.381602\pi\) |
−0.854352 | + | 0.519694i | \(0.826046\pi\) | |||||||
\(702\) | 7.61309 | − | 3.87906i | 0.287337 | − | 0.146406i | ||||
\(703\) | 24.1164 | + | 10.9340i | 0.909569 | + | 0.412383i | ||||
\(704\) | 16.3446 | − | 22.4965i | 0.616012 | − | 0.847868i | ||||
\(705\) | −11.9806 | + | 44.5541i | −0.451215 | + | 1.67800i | ||||
\(706\) | 24.3413 | + | 16.4184i | 0.916098 | + | 0.617916i | ||||
\(707\) | −18.2316 | − | 12.7659i | −0.685669 | − | 0.480111i | ||||
\(708\) | 32.7897 | − | 95.2281i | 1.23231 | − | 3.57889i | ||||
\(709\) | 20.0943 | + | 0.701709i | 0.754658 | + | 0.0263532i | 0.409645 | − | 0.912245i | \(-0.365652\pi\) |
0.345013 | + | 0.938598i | \(0.387875\pi\) | |||||||
\(710\) | −9.44088 | − | 17.7937i | −0.354310 | − | 0.667787i | ||||
\(711\) | −48.5191 | + | 43.6868i | −1.81961 | + | 1.63838i | ||||
\(712\) | 68.0813 | − | 15.7178i | 2.55146 | − | 0.589050i | ||||
\(713\) | −23.7125 | + | 5.47446i | −0.888040 | + | 0.205020i | ||||
\(714\) | 68.9855 | − | 62.1148i | 2.58172 | − | 2.32459i | ||||
\(715\) | −1.15768 | + | 8.18466i | −0.0432948 | + | 0.306089i | ||||
\(716\) | 16.1337 | + | 0.563402i | 0.602945 | + | 0.0210553i | ||||
\(717\) | −21.6356 | + | 62.8344i | −0.807997 | + | 2.34659i | ||||
\(718\) | 17.5213 | + | 12.2685i | 0.653888 | + | 0.457858i | ||||
\(719\) | −8.85989 | − | 5.97607i | −0.330418 | − | 0.222870i | 0.382768 | − | 0.923844i | \(-0.374971\pi\) |
−0.713186 | + | 0.700975i | \(0.752749\pi\) | |||||||
\(720\) | 89.3785 | − | 4.60468i | 3.33094 | − | 0.171606i | ||||
\(721\) | −1.30243 | + | 1.79265i | −0.0485052 | + | 0.0667616i | ||||
\(722\) | 49.2578 | + | 6.72775i | 1.83319 | + | 0.250381i | ||||
\(723\) | 32.9905 | − | 16.8095i | 1.22693 | − | 0.625152i | ||||
\(724\) | −42.8268 | − | 35.9359i | −1.59164 | − | 1.33555i | ||||
\(725\) | −45.4984 | − | 1.66962i | −1.68977 | − | 0.0620080i | ||||
\(726\) | 0.353103 | + | 2.00255i | 0.0131049 | + | 0.0743215i | ||||
\(727\) | −38.7950 | + | 11.8608i | −1.43883 | + | 0.439894i | −0.912039 | − | 0.410102i | \(-0.865493\pi\) |
−0.526789 | + | 0.849996i | \(0.676604\pi\) | |||||||
\(728\) | −6.77857 | + | 34.8727i | −0.251230 | + | 1.29247i | ||||
\(729\) | 41.4995 | + | 4.36178i | 1.53702 | + | 0.161547i | ||||
\(730\) | 31.8204 | − | 19.0813i | 1.17773 | − | 0.706229i | ||||
\(731\) | −1.34419 | + | 5.39126i | −0.0497167 | + | 0.199403i | ||||
\(732\) | −69.7486 | − | 6.10221i | −2.57798 | − | 0.225544i | ||||
\(733\) | −5.55984 | + | 6.86583i | −0.205357 | + | 0.253595i | −0.869411 | − | 0.494090i | \(-0.835501\pi\) |
0.664053 | + | 0.747685i | \(0.268835\pi\) | |||||||
\(734\) | −0.485070 | + | 0.538725i | −0.0179043 | + | 0.0198847i | ||||
\(735\) | 64.2783 | + | 4.55205i | 2.37094 | + | 0.167905i | ||||
\(736\) | 17.9961 | − | 33.8457i | 0.663344 | − | 1.24757i | ||||
\(737\) | −27.9807 | − | 8.55456i | −1.03068 | − | 0.315111i | ||||
\(738\) | −12.4703 | + | 101.562i | −0.459038 | + | 3.73856i | ||||
\(739\) | −13.1322 | − | 21.0159i | −0.483075 | − | 0.773082i | 0.513295 | − | 0.858212i | \(-0.328425\pi\) |
−0.996370 | + | 0.0851307i | \(0.972869\pi\) | |||||||
\(740\) | −54.6109 | + | 36.7651i | −2.00754 | + | 1.35151i | ||||
\(741\) | −3.47842 | + | 12.6380i | −0.127783 | + | 0.464270i | ||||
\(742\) | −5.75457 | + | 36.3329i | −0.211257 | + | 1.33382i | ||||
\(743\) | −47.5705 | + | 4.16188i | −1.74519 | + | 0.152684i | −0.914643 | − | 0.404263i | \(-0.867528\pi\) |
−0.830548 | + | 0.556947i | \(0.811973\pi\) | |||||||
\(744\) | 75.5610 | − | 112.024i | 2.77020 | − | 4.10699i | ||||
\(745\) | −4.73054 | − | 15.5221i | −0.173314 | − | 0.568686i | ||||
\(746\) | 12.5871 | − | 12.1553i | 0.460848 | − | 0.445035i | ||||
\(747\) | 24.3928 | + | 4.74148i | 0.892486 | + | 0.173482i | ||||
\(748\) | 41.9857 | + | 27.2659i | 1.53515 | + | 0.996939i | ||||
\(749\) | 5.13625 | − | 8.89625i | 0.187675 | − | 0.325062i | ||||
\(750\) | −77.3176 | + | 9.28473i | −2.82324 | + | 0.339030i | ||||
\(751\) | 0.539914 | + | 0.643444i | 0.0197017 | + | 0.0234796i | 0.775805 | − | 0.630972i | \(-0.217344\pi\) |
−0.756104 | + | 0.654452i | \(0.772899\pi\) | |||||||
\(752\) | −75.8239 | − | 3.97376i | −2.76501 | − | 0.144908i | ||||
\(753\) | −7.82149 | − | 9.65873i | −0.285031 | − | 0.351984i | ||||
\(754\) | −15.0514 | − | 22.3146i | −0.548139 | − | 0.812650i | ||||
\(755\) | −2.54470 | + | 47.7459i | −0.0926112 | + | 1.73765i | ||||
\(756\) | 41.0877 | − | 42.5475i | 1.49434 | − | 1.54744i | ||||
\(757\) | −7.55106 | + | 16.1933i | −0.274448 | + | 0.588556i | −0.994425 | − | 0.105442i | \(-0.966374\pi\) |
0.719977 | + | 0.693998i | \(0.244152\pi\) | |||||||
\(758\) | 30.9260 | + | 35.5763i | 1.12328 | + | 1.29219i | ||||
\(759\) | −9.61167 | − | 29.5817i | −0.348882 | − | 1.07375i | ||||
\(760\) | −46.1175 | + | 56.0654i | −1.67286 | + | 2.03371i | ||||
\(761\) | 4.92938 | − | 15.1711i | 0.178690 | − | 0.549951i | −0.821093 | − | 0.570795i | \(-0.806635\pi\) |
0.999783 | + | 0.0208435i | \(0.00663518\pi\) | |||||||
\(762\) | −42.7624 | + | 18.1516i | −1.54912 | + | 0.657562i | ||||
\(763\) | 7.35900 | + | 0.903571i | 0.266414 | + | 0.0327115i | ||||
\(764\) | 4.45360 | − | 31.6890i | 0.161126 | − | 1.14647i | ||||
\(765\) | 2.98918 | + | 28.6848i | 0.108074 | + | 1.03710i | ||||
\(766\) | 1.56480 | − | 44.8099i | 0.0565384 | − | 1.61905i | ||||
\(767\) | −8.23344 | + | 3.16052i | −0.297292 | + | 0.114120i | ||||
\(768\) | −10.3303 | − | 38.5532i | −0.372762 | − | 1.39117i | ||||
\(769\) | 3.76553 | + | 0.938853i | 0.135789 | + | 0.0338559i | 0.309223 | − | 0.950989i | \(-0.399931\pi\) |
−0.173435 | + | 0.984845i | \(0.555487\pi\) | |||||||
\(770\) | 15.3538 | + | 79.3640i | 0.553313 | + | 2.86008i | ||||
\(771\) | 27.0523 | − | 12.0445i | 0.974264 | − | 0.433770i | ||||
\(772\) | 86.2731 | − | 69.8626i | 3.10504 | − | 2.51441i | ||||
\(773\) | −4.64780 | − | 37.8533i | −0.167170 | − | 1.36149i | −0.805897 | − | 0.592056i | \(-0.798317\pi\) |
0.638727 | − | 0.769433i | \(-0.279461\pi\) | |||||||
\(774\) | −3.26778 | + | 18.5325i | −0.117458 | + | 0.666137i | ||||
\(775\) | −17.0907 | + | 29.4811i | −0.613916 | + | 1.05899i | ||||
\(776\) | 19.5935 | − | 7.13146i | 0.703366 | − | 0.256004i | ||||
\(777\) | −15.3583 | + | 66.5240i | −0.550975 | + | 2.38654i | ||||
\(778\) | −69.4122 | + | 10.9938i | −2.48855 | + | 0.394148i | ||||
\(779\) | −27.1561 | − | 31.6709i | −0.972968 | − | 1.13473i | ||||
\(780\) | −22.2047 | − | 23.8540i | −0.795055 | − | 0.854109i | ||||
\(781\) | 0.785865 | − | 11.2384i | 0.0281205 | − | 0.402141i | ||||
\(782\) | 26.7300 | + | 12.4644i | 0.955865 | + | 0.445727i | ||||
\(783\) | 0.459363 | + | 26.3169i | 0.0164163 | + | 0.940489i | ||||
\(784\) | 14.7591 | + | 105.017i | 0.527112 | + | 3.75060i | ||||
\(785\) | 7.46722 | + | 11.9737i | 0.266517 | + | 0.427358i | ||||
\(786\) | −89.9470 | + | 19.1188i | −3.20830 | + | 0.681946i | ||||
\(787\) | 28.2607 | + | 43.5176i | 1.00738 | + | 1.55124i | 0.822730 | + | 0.568432i | \(0.192450\pi\) |
0.184654 | + | 0.982804i | \(0.440884\pi\) | |||||||
\(788\) | 25.0284 | + | 108.410i | 0.891601 | + | 3.86195i | ||||
\(789\) | 15.5875 | + | 38.5803i | 0.554928 | + | 1.37349i | ||||
\(790\) | 79.2415 | + | 49.6133i | 2.81929 | + | 1.76516i | ||||
\(791\) | −10.4977 | − | 9.45221i | −0.373257 | − | 0.336082i | ||||
\(792\) | 87.0985 | + | 48.2795i | 3.09491 | + | 1.71554i | ||||
\(793\) | 3.51655 | + | 5.02216i | 0.124876 | + | 0.178342i | ||||
\(794\) | 7.88465 | + | 7.61411i | 0.279816 | + | 0.270215i | ||||
\(795\) | −14.0023 | − | 14.0272i | −0.496611 | − | 0.497492i | ||||
\(796\) | −26.8024 | − | 107.498i | −0.949984 | − | 3.81018i | ||||
\(797\) | −4.46710 | − | 28.2042i | −0.158233 | − | 0.999044i | −0.931176 | − | 0.364569i | \(-0.881216\pi\) |
0.772943 | − | 0.634475i | \(-0.218784\pi\) | |||||||
\(798\) | 8.07393 | + | 127.930i | 0.285814 | + | 4.52868i | ||||
\(799\) | − | 24.4675i | − | 0.865598i | ||||||
\(800\) | −17.3849 | − | 50.7818i | −0.614650 | − | 1.79541i | ||||
\(801\) | 13.1097 | + | 36.0186i | 0.463209 | + | 1.27265i | ||||
\(802\) | −15.8314 | + | 11.9299i | −0.559028 | + | 0.421258i | ||||
\(803\) | 20.7481 | + | 0.362159i | 0.732184 | + | 0.0127803i | ||||
\(804\) | 95.6332 | − | 64.5054i | 3.37272 | − | 2.27493i | ||||
\(805\) | 10.9471 | + | 31.8844i | 0.385834 | + | 1.12378i | ||||
\(806\) | −20.0355 | + | 2.10582i | −0.705721 | + | 0.0741743i | ||||
\(807\) | −1.74796 | + | 19.9793i | −0.0615312 | + | 0.703305i | ||||
\(808\) | 20.2219 | + | 33.6549i | 0.711404 | + | 1.18397i | ||||
\(809\) | 3.98013 | − | 18.7250i | 0.139934 | − | 0.658337i | −0.851131 | − | 0.524954i | \(-0.824082\pi\) |
0.991065 | − | 0.133383i | \(-0.0425842\pi\) | |||||||
\(810\) | −4.61284 | − | 26.2970i | −0.162079 | − | 0.923983i | ||||
\(811\) | 27.5361 | + | 21.5136i | 0.966924 | + | 0.755444i | 0.969636 | − | 0.244552i | \(-0.0786410\pi\) |
−0.00271193 | + | 0.999996i | \(0.500863\pi\) | |||||||
\(812\) | −148.807 | − | 112.134i | −5.22211 | − | 3.93514i | ||||
\(813\) | −4.24006 | + | 13.8686i | −0.148705 | + | 0.486393i | ||||
\(814\) | −51.9824 | + | 1.81526i | −1.82198 | + | 0.0636250i | ||||
\(815\) | 15.9817 | + | 27.7378i | 0.559814 | + | 0.971614i | ||||
\(816\) | −78.2827 | + | 25.4356i | −2.74044 | + | 0.890423i | ||||
\(817\) | −4.68254 | − | 6.07794i | −0.163821 | − | 0.212640i | ||||
\(818\) | −51.0194 | − | 51.0194i | −1.78385 | − | 1.78385i | ||||
\(819\) | −19.4409 | − | 1.35944i | −0.679320 | − | 0.0475027i | ||||
\(820\) | 102.460 | − | 16.1350i | 3.57807 | − | 0.563460i | ||||
\(821\) | 17.0290 | − | 34.9147i | 0.594318 | − | 1.21853i | −0.363618 | − | 0.931548i | \(-0.618459\pi\) |
0.957935 | − | 0.286984i | \(-0.0926525\pi\) | |||||||
\(822\) | −1.65985 | + | 95.0929i | −0.0578940 | + | 3.31675i | ||||
\(823\) | −27.4567 | + | 3.37126i | −0.957081 | + | 0.117515i | −0.585310 | − | 0.810810i | \(-0.699027\pi\) |
−0.371771 | + | 0.928324i | \(0.621249\pi\) | |||||||
\(824\) | 3.38524 | − | 1.95447i | 0.117931 | − | 0.0680872i | ||||
\(825\) | −39.4401 | − | 18.4764i | −1.37313 | − | 0.643267i | ||||
\(826\) | −66.0669 | + | 55.4367i | −2.29876 | + | 1.92889i | ||||
\(827\) | −15.9668 | + | 37.6154i | −0.555220 | + | 1.30802i | 0.370157 | + | 0.928969i | \(0.379304\pi\) |
−0.925377 | + | 0.379048i | \(0.876252\pi\) | |||||||
\(828\) | 66.0135 | + | 25.3402i | 2.29413 | + | 0.880633i | ||||
\(829\) | 4.72739 | − | 44.9781i | 0.164189 | − | 1.56215i | −0.533530 | − | 0.845781i | \(-0.679135\pi\) |
0.697719 | − | 0.716372i | \(-0.254198\pi\) | |||||||
\(830\) | −3.06988 | − | 35.4508i | −0.106557 | − | 1.23052i | ||||
\(831\) | −2.14503 | + | 1.04620i | −0.0744101 | + | 0.0362922i | ||||
\(832\) | 5.50624 | − | 7.86372i | 0.190894 | − | 0.272625i | ||||
\(833\) | −33.5460 | + | 6.52067i | −1.16230 | + | 0.225928i | ||||
\(834\) | 63.4542 | + | 25.6372i | 2.19724 | + | 0.887742i | ||||
\(835\) | −0.211666 | + | 5.91107i | −0.00732502 | + | 0.204561i | ||||
\(836\) | −65.5143 | + | 22.0623i | −2.26586 | + | 0.763041i | ||||
\(837\) | 17.5531 | + | 8.94373i | 0.606722 | + | 0.309140i | ||||
\(838\) | −11.8305 | − | 27.8709i | −0.408677 | − | 0.962783i | ||||
\(839\) | −1.32954 | − | 38.0730i | −0.0459007 | − | 1.31442i | −0.775847 | − | 0.630921i | \(-0.782677\pi\) |
0.729947 | − | 0.683504i | \(-0.239545\pi\) | |||||||
\(840\) | −165.192 | − | 88.0221i | −5.69967 | − | 3.03705i | ||||
\(841\) | 53.3909 | − | 7.50360i | 1.84106 | − | 0.258745i | ||||
\(842\) | 14.9417 | − | 26.9555i | 0.514925 | − | 0.928949i | ||||
\(843\) | 3.46823 | − | 12.9436i | 0.119452 | − | 0.445801i | ||||
\(844\) | 8.48413 | + | 80.7211i | 0.292036 | + | 2.77853i | ||||
\(845\) | 3.21789 | − | 26.0169i | 0.110699 | − | 0.895010i | ||||
\(846\) | −5.78057 | − | 82.6661i | −0.198740 | − | 2.84212i | ||||
\(847\) | 0.441728 | − | 1.15074i | 0.0151780 | − | 0.0395400i | ||||
\(848\) | 17.7649 | − | 27.3556i | 0.610051 | − | 0.939396i | ||||
\(849\) | −82.7246 | − | 30.1093i | −2.83910 | − | 1.03335i | ||||
\(850\) | 38.3183 | − | 15.4026i | 1.31431 | − | 0.528305i | ||||
\(851\) | −21.3622 | + | 3.76673i | −0.732287 | + | 0.129122i | ||||
\(852\) | 32.4835 | + | 30.2914i | 1.11287 | + | 1.03776i | ||||
\(853\) | −5.48272 | + | 9.12477i | −0.187725 | + | 0.312426i | −0.936675 | − | 0.350200i | \(-0.886114\pi\) |
0.748950 | + | 0.662626i | \(0.230558\pi\) | |||||||
\(854\) | 48.5047 | + | 35.2407i | 1.65980 | + | 1.20591i | ||||
\(855\) | −33.6101 | − | 21.3621i | −1.14944 | − | 0.730570i | ||||
\(856\) | −14.6608 | + | 10.6517i | −0.501094 | + | 0.364066i | ||||
\(857\) | −4.58679 | − | 52.4272i | −0.156682 | − | 1.79088i | −0.514909 | − | 0.857245i | \(-0.672174\pi\) |
0.358228 | − | 0.933634i | \(-0.383381\pi\) | |||||||
\(858\) | −4.91302 | − | 25.2753i | −0.167728 | − | 0.862884i | ||||
\(859\) | 19.2058 | + | 36.1209i | 0.655294 | + | 1.23243i | 0.960005 | + | 0.279984i | \(0.0903293\pi\) |
−0.304710 | + | 0.952445i | \(0.598560\pi\) | |||||||
\(860\) | 18.9728 | − | 1.97711i | 0.646966 | − | 0.0674191i | ||||
\(861\) | 66.2257 | − | 84.7651i | 2.25697 | − | 2.88879i | ||||
\(862\) | −0.213623 | − | 4.07617i | −0.00727603 | − | 0.138835i | ||||
\(863\) | −21.0750 | + | 13.6863i | −0.717402 | + | 0.465886i | −0.851011 | − | 0.525148i | \(-0.824010\pi\) |
0.133609 | + | 0.991034i | \(0.457343\pi\) | |||||||
\(864\) | −28.7708 | + | 11.6242i | −0.978804 | + | 0.395463i | ||||
\(865\) | 7.89961 | − | 27.4573i | 0.268595 | − | 0.933577i | ||||
\(866\) | 10.2819 | + | 2.18548i | 0.349392 | + | 0.0742655i | ||||
\(867\) | 6.71165 | + | 17.4845i | 0.227940 | + | 0.593803i | ||||
\(868\) | −126.393 | + | 58.9379i | −4.29005 | + | 2.00048i | ||||
\(869\) | 22.9219 | + | 46.9968i | 0.777572 | + | 1.59426i | ||||
\(870\) | 135.659 | − | 41.3437i | 4.59928 | − | 1.40168i | ||||
\(871\) | −9.70981 | − | 2.78424i | −0.329004 | − | 0.0943405i | ||||
\(872\) | −11.2113 | − | 6.73643i | −0.379663 | − | 0.228124i | ||||
\(873\) | 5.19290 | + | 10.1916i | 0.175753 | + | 0.344935i | ||||
\(874\) | −36.4121 | + | 18.2428i | −1.23166 | + | 0.617071i | ||||
\(875\) | 43.0721 | + | 19.3144i | 1.45610 | + | 0.652945i | ||||
\(876\) | −52.5877 | + | 62.6715i | −1.77677 | + | 2.11748i | ||||
\(877\) | 10.0449 | − | 10.7718i | 0.339191 | − | 0.363738i | −0.538784 | − | 0.842444i | \(-0.681116\pi\) |
0.877975 | + | 0.478706i | \(0.158894\pi\) | |||||||
\(878\) | −11.7606 | + | 4.04950i | −0.396901 | + | 0.136664i | ||||
\(879\) | 19.7944 | + | 20.4977i | 0.667649 | + | 0.691371i | ||||
\(880\) | 16.1856 | − | 69.8252i | 0.545618 | − | 2.35381i | ||||
\(881\) | 37.2668 | + | 16.5923i | 1.25555 | + | 0.559008i | 0.923263 | − | 0.384170i | \(-0.125512\pi\) |
0.332289 | + | 0.943177i | \(0.392179\pi\) | |||||||
\(882\) | −111.798 | + | 29.9562i | −3.76444 | + | 1.00868i | ||||
\(883\) | −33.2437 | + | 19.9748i | −1.11874 | + | 0.672206i | −0.949624 | − | 0.313390i | \(-0.898535\pi\) |
−0.169114 | + | 0.985596i | \(0.554091\pi\) | |||||||
\(884\) | 14.6567 | + | 9.15855i | 0.492960 | + | 0.308035i | ||||
\(885\) | −3.20032 | − | 46.3572i | −0.107577 | − | 1.55828i | ||||
\(886\) | 17.0860 | + | 80.3831i | 0.574014 | + | 2.70052i | ||||
\(887\) | 0.548018 | − | 0.511035i | 0.0184006 | − | 0.0171589i | −0.672744 | − | 0.739875i | \(-0.734884\pi\) |
0.691145 | + | 0.722716i | \(0.257107\pi\) | |||||||
\(888\) | 72.4837 | − | 96.1891i | 2.43239 | − | 3.22789i | ||||
\(889\) | 27.8858 | + | 3.91910i | 0.935261 | + | 0.131442i | ||||
\(890\) | 44.4336 | − | 32.2228i | 1.48942 | − | 1.08011i | ||||
\(891\) | 5.59368 | − | 13.8449i | 0.187395 | − | 0.463820i | ||||
\(892\) | −1.83879 | − | 0.291236i | −0.0615674 | − | 0.00975132i | ||||
\(893\) | 26.4823 | + | 20.9811i | 0.886196 | + | 0.702107i | ||||
\(894\) | 29.7100 | + | 40.8923i | 0.993651 | + | 1.36764i | ||||
\(895\) | 6.95590 | − | 2.66305i | 0.232510 | − | 0.0890158i | ||||
\(896\) | 0.890131 | − | 3.10426i | 0.0297372 | − | 0.103706i | ||||
\(897\) | −3.49595 | − | 10.1530i | −0.116726 | − | 0.338998i | ||||
\(898\) | −23.2118 | − | 75.9224i | −0.774588 | − | 2.53356i | ||||
\(899\) | 21.2255 | − | 58.3167i | 0.707911 | − | 1.94497i | ||||
\(900\) | 89.0680 | − | 43.2460i | 2.96893 | − | 1.44153i | ||||
\(901\) | 9.10277 | + | 5.25548i | 0.303257 | + | 0.175086i | ||||
\(902\) | 75.4357 | + | 32.0205i | 2.51173 | + | 1.06617i | ||||
\(903\) | 12.9786 | − | 14.9302i | 0.431901 | − | 0.496846i | ||||
\(904\) | 10.1358 | + | 22.7654i | 0.337112 | + | 0.757166i | ||||
\(905\) | −24.6601 | − | 7.56326i | −0.819729 | − | 0.251411i | ||||
\(906\) | −41.0523 | − | 143.166i | −1.36387 | − | 4.75638i | ||||
\(907\) | −0.105894 | + | 0.0741478i | −0.00351616 | + | 0.00246204i | −0.575333 | − | 0.817919i | \(-0.695128\pi\) |
0.571817 | + | 0.820381i | \(0.306239\pi\) | |||||||
\(908\) | −33.8651 | + | 0.591118i | −1.12385 | + | 0.0196169i | ||||
\(909\) | −16.9727 | + | 13.2605i | −0.562950 | + | 0.439824i | ||||
\(910\) | 5.77794 | + | 27.3021i | 0.191537 | + | 0.905054i | ||||
\(911\) | −4.50908 | − | 1.46509i | −0.149392 | − | 0.0485405i | 0.233366 | − | 0.972389i | \(-0.425026\pi\) |
−0.382759 | + | 0.923848i | \(0.625026\pi\) | |||||||
\(912\) | 39.5981 | − | 106.540i | 1.31122 | − | 3.52790i | ||||
\(913\) | 9.03505 | − | 17.7323i | 0.299016 | − | 0.586853i | ||||
\(914\) | −90.4215 | + | 56.5016i | −2.99088 | + | 1.86891i | ||||
\(915\) | −30.7310 | + | 9.95501i | −1.01594 | + | 0.329102i | ||||
\(916\) | 92.8461 | − | 49.3671i | 3.06772 | − | 1.63114i | ||||
\(917\) | 52.7044 | + | 18.1476i | 1.74045 | + | 0.599286i | ||||
\(918\) | −10.0900 | − | 21.6381i | −0.333019 | − | 0.714162i | ||||
\(919\) | 2.56843 | − | 5.76879i | 0.0847247 | − | 0.190295i | −0.866215 | − | 0.499672i | \(-0.833454\pi\) |
0.950939 | + | 0.309377i | \(0.100121\pi\) | |||||||
\(920\) | 5.23568 | − | 59.2392i | 0.172615 | − | 1.95306i | ||||
\(921\) | −35.1014 | + | 2.45453i | −1.15663 | + | 0.0808794i | ||||
\(922\) | −51.6343 | − | 44.8850i | −1.70048 | − | 1.47821i | ||||
\(923\) | 0.203550 | − | 3.88396i | 0.00669992 | − | 0.127842i | ||||
\(924\) | −89.1210 | − | 154.362i | −2.93187 | − | 5.07814i | ||||
\(925\) | −16.5879 | + | 25.4443i | −0.545408 | + | 0.836604i | ||||
\(926\) | 84.3188 | + | 14.8677i | 2.77089 | + | 0.488582i | ||||
\(927\) | 1.29050 | + | 1.71256i | 0.0423857 | + | 0.0562477i | ||||
\(928\) | 47.3907 | + | 85.4951i | 1.55568 | + | 2.80651i | ||||
\(929\) | −10.7824 | + | 2.68835i | −0.353759 | + | 0.0882019i | −0.414748 | − | 0.909936i | \(-0.636130\pi\) |
0.0609889 | + | 0.998138i | \(0.480575\pi\) | |||||||
\(930\) | 20.3461 | − | 104.178i | 0.667175 | − | 3.41615i | ||||
\(931\) | 21.7084 | − | 41.8999i | 0.711463 | − | 1.37321i | ||||
\(932\) | −45.6989 | + | 45.6989i | −1.49692 | + | 1.49692i | ||||
\(933\) | −35.1828 | + | 30.5839i | −1.15183 | + | 1.00127i | ||||
\(934\) | 20.0606 | + | 25.6764i | 0.656403 | + | 0.840158i | ||||
\(935\) | 22.7430 | + | 4.03101i | 0.743777 | + | 0.131828i | ||||
\(936\) | 30.3552 | + | 16.1402i | 0.992191 | + | 0.527557i | ||||
\(937\) | 13.5050 | + | 14.4823i | 0.441188 | + | 0.473116i | 0.912633 | − | 0.408779i | \(-0.134045\pi\) |
−0.471445 | + | 0.881895i | \(0.656268\pi\) | |||||||
\(938\) | −98.6447 | + | 5.16975i | −3.22086 | + | 0.168798i | ||||
\(939\) | 18.6203 | + | 20.6800i | 0.607652 | + | 0.674866i | ||||
\(940\) | −78.9598 | + | 28.6598i | −2.57538 | + | 0.934778i | ||||
\(941\) | 9.73713 | − | 15.5827i | 0.317421 | − | 0.507980i | −0.650409 | − | 0.759584i | \(-0.725402\pi\) |
0.967830 | + | 0.251604i | \(0.0809580\pi\) | |||||||
\(942\) | −34.1598 | − | 27.6621i | −1.11299 | − | 0.901280i | ||||
\(943\) | 33.0117 | + | 8.84547i | 1.07501 | + | 0.288048i | ||||
\(944\) | 73.5100 | − | 21.0787i | 2.39255 | − | 0.686052i | ||||
\(945\) | 9.80225 | − | 25.4682i | 0.318867 | − | 0.828482i | ||||
\(946\) | 13.5460 | + | 6.60683i | 0.440419 | + | 0.214807i | ||||
\(947\) | 24.5034 | − | 13.5825i | 0.796255 | − | 0.441371i | −0.0335419 | − | 0.999437i | \(-0.510679\pi\) |
0.829796 | + | 0.558066i | \(0.188456\pi\) | |||||||
\(948\) | −200.865 | − | 46.3734i | −6.52379 | − | 1.50614i | ||||
\(949\) | 7.16392 | 0.232551 | ||||||||
\(950\) | −16.1874 | + | 54.6815i | −0.525187 | + | 1.77410i | ||||
\(951\) | 42.2863 | 1.37123 | ||||||||
\(952\) | 96.7221 | + | 22.3301i | 3.13478 | + | 0.723721i | ||||
\(953\) | −31.4678 | + | 17.4429i | −1.01934 | + | 0.565030i | −0.903658 | − | 0.428256i | \(-0.859128\pi\) |
−0.115684 | + | 0.993286i | \(0.536906\pi\) | |||||||
\(954\) | 31.9963 | + | 15.6056i | 1.03592 | + | 0.505251i | ||||
\(955\) | −3.80862 | − | 14.2645i | −0.123244 | − | 0.461589i | ||||
\(956\) | −116.306 | + | 33.3502i | −3.76161 | + | 1.07862i | ||||
\(957\) | 76.6151 | + | 20.5290i | 2.47661 | + | 0.663607i | ||||
\(958\) | −53.5135 | − | 43.3344i | −1.72894 | − | 1.40007i | ||||
\(959\) | 30.5505 | − | 48.8911i | 0.986529 | − | 1.57878i | ||||
\(960\) | 31.1052 | + | 39.8856i | 1.00391 | + | 1.28730i | ||||
\(961\) | −10.3375 | − | 11.4810i | −0.333469 | − | 0.370354i | ||||
\(962\) | −17.9321 | + | 0.939783i | −0.578155 | + | 0.0302998i | ||||
\(963\) | −6.77983 | − | 7.27048i | −0.218477 | − | 0.234288i | ||||
\(964\) | 59.5218 | + | 31.6483i | 1.91707 | + | 1.01932i | ||||
\(965\) | 24.0858 | − | 45.2020i | 0.775348 | − | 1.45510i | ||||
\(966\) | −64.6496 | − | 82.7477i | −2.08007 | − | 2.66236i | ||||
\(967\) | 42.1560 | − | 36.6456i | 1.35565 | − | 1.17844i | 0.389325 | − | 0.921100i | \(-0.372708\pi\) |
0.966320 | − | 0.257344i | \(-0.0828473\pi\) | |||||||
\(968\) | −1.53757 | + | 1.53757i | −0.0494192 | + | 0.0494192i | ||||
\(969\) | 34.9529 | + | 10.9460i | 1.12285 | + | 0.351637i | ||||
\(970\) | 11.9890 | − | 11.1601i | 0.384944 | − | 0.358328i | ||||
\(971\) | −51.0378 | + | 12.7252i | −1.63788 | + | 0.408370i | −0.948689 | − | 0.316210i | \(-0.897590\pi\) |
−0.689192 | + | 0.724579i | \(0.742034\pi\) | |||||||
\(972\) | 48.9162 | + | 88.2471i | 1.56899 | + | 2.83053i | ||||
\(973\) | −24.9662 | − | 33.1313i | −0.800380 | − | 1.06214i | ||||
\(974\) | −53.8044 | − | 9.48716i | −1.72400 | − | 0.303988i | ||||
\(975\) | −13.7251 | − | 6.13999i | −0.439555 | − | 0.196637i | ||||
\(976\) | −26.5810 | − | 46.0396i | −0.850836 | − | 1.47369i | ||||
\(977\) | 0.622520 | − | 11.8784i | 0.0199162 | − | 0.380023i | −0.970428 | − | 0.241391i | \(-0.922396\pi\) |
0.990344 | − | 0.138632i | \(-0.0442704\pi\) | |||||||
\(978\) | −75.2570 | − | 65.4199i | −2.40645 | − | 2.09190i | ||||
\(979\) | 30.6232 | − | 2.14138i | 0.978722 | − | 0.0684389i | ||||
\(980\) | 60.3368 | + | 100.619i | 1.92739 | + | 3.21416i | ||||
\(981\) | 2.91837 | − | 6.55477i | 0.0931765 | − | 0.209278i | ||||
\(982\) | 22.9274 | + | 49.1679i | 0.731642 | + | 1.56901i | ||||
\(983\) | 9.05613 | + | 3.11827i | 0.288846 | + | 0.0994575i | 0.466171 | − | 0.884695i | \(-0.345633\pi\) |
−0.177325 | + | 0.984152i | \(0.556744\pi\) | |||||||
\(984\) | −167.549 | + | 89.0875i | −5.34127 | + | 2.84000i | ||||
\(985\) | 30.1362 | + | 41.5564i | 0.960220 | + | 1.32410i | ||||
\(986\) | −63.7820 | + | 39.8554i | −2.03123 | + | 1.26926i | ||||
\(987\) | −39.5490 | + | 77.6194i | −1.25886 | + | 2.47065i | ||||
\(988\) | −22.4810 | + | 8.01011i | −0.715217 | + | 0.254836i | ||||
\(989\) | 5.97767 | + | 1.94226i | 0.190079 | + | 0.0617603i | ||||
\(990\) | 77.7921 | + | 8.24602i | 2.47240 | + | 0.262076i | ||||
\(991\) | −19.1414 | + | 14.9549i | −0.608047 | + | 0.475059i | −0.872019 | − | 0.489472i | \(-0.837190\pi\) |
0.263972 | + | 0.964530i | \(0.414967\pi\) | |||||||
\(992\) | 73.1521 | − | 1.27688i | 2.32258 | − | 0.0405408i | ||||
\(993\) | 12.5204 | − | 8.76691i | 0.397324 | − | 0.278210i | ||||
\(994\) | −10.4835 | − | 36.5605i | −0.332518 | − | 1.15963i | ||||
\(995\) | −30.7259 | − | 40.8499i | −0.974075 | − | 1.29503i | ||||
\(996\) | 31.9131 | + | 71.6780i | 1.01121 | + | 2.27121i | ||||
\(997\) | 12.2358 | − | 14.0757i | 0.387512 | − | 0.445782i | −0.527289 | − | 0.849686i | \(-0.676792\pi\) |
0.914801 | + | 0.403904i | \(0.132347\pi\) | |||||||
\(998\) | 48.3330 | + | 20.5161i | 1.52995 | + | 0.649427i | ||||
\(999\) | 15.2070 | + | 8.77977i | 0.481128 | + | 0.277780i |
(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 | 475.2.bi.a.3.3 | ✓ | 2304 | |
19.13 | odd | 18 | inner | 475.2.bi.a.203.46 | yes | 2304 | |
25.17 | odd | 20 | inner | 475.2.bi.a.117.46 | yes | 2304 | |
475.317 | even | 180 | inner | 475.2.bi.a.317.3 | yes | 2304 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
475.2.bi.a.3.3 | ✓ | 2304 | 1.1 | even | 1 | trivial | |
475.2.bi.a.117.46 | yes | 2304 | 25.17 | odd | 20 | inner | |
475.2.bi.a.203.46 | yes | 2304 | 19.13 | odd | 18 | inner | |
475.2.bi.a.317.3 | yes | 2304 | 475.317 | even | 180 | inner |