Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,3,Mod(5,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.h (of order \(10\), degree \(4\), 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: | \(0.899184872389\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 12x^{14} + 180x^{12} - 2562x^{10} + 25179x^{8} - 96398x^{6} + 239275x^{4} - 536393x^{2} + 1771561 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 26.2 | ||
Root | \(-0.974642 + 1.34148i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.26 |
Dual form | 33.3.h.b.14.2 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.974642 | + | 1.34148i | −0.487321 | + | 0.670740i | −0.979891 | − | 0.199533i | \(-0.936057\pi\) |
0.492570 | + | 0.870273i | \(0.336057\pi\) | |||||||
\(3\) | 2.52902 | − | 1.61371i | 0.843007 | − | 0.537902i | ||||
\(4\) | 0.386428 | + | 1.18930i | 0.0966070 | + | 0.297326i | ||||
\(5\) | 0.410570 | + | 0.565101i | 0.0821140 | + | 0.113020i | 0.848098 | − | 0.529839i | \(-0.177748\pi\) |
−0.765984 | + | 0.642860i | \(0.777748\pi\) | |||||||
\(6\) | −0.300138 | + | 4.96542i | −0.0500229 | + | 0.827569i | ||||
\(7\) | 0.806259 | + | 2.48141i | 0.115180 | + | 0.354487i | 0.991985 | − | 0.126360i | \(-0.0403293\pi\) |
−0.876805 | + | 0.480847i | \(0.840329\pi\) | |||||||
\(8\) | −8.28007 | − | 2.69036i | −1.03501 | − | 0.336295i | ||||
\(9\) | 3.79191 | − | 8.16220i | 0.421323 | − | 0.906911i | ||||
\(10\) | −1.15823 | −0.115823 | ||||||||
\(11\) | −4.26126 | − | 10.1411i | −0.387387 | − | 0.921917i | ||||
\(12\) | 2.89647 | + | 2.38419i | 0.241372 | + | 0.198683i | ||||
\(13\) | −13.8479 | − | 10.0611i | −1.06522 | − | 0.773930i | −0.0901753 | − | 0.995926i | \(-0.528743\pi\) |
−0.975048 | + | 0.221996i | \(0.928743\pi\) | |||||||
\(14\) | −4.11458 | − | 1.33691i | −0.293898 | − | 0.0954933i | ||||
\(15\) | 1.95025 | + | 0.766614i | 0.130017 | + | 0.0511076i | ||||
\(16\) | 7.63243 | − | 5.54529i | 0.477027 | − | 0.346580i | ||||
\(17\) | 9.47072 | + | 13.0353i | 0.557101 | + | 0.766784i | 0.990954 | − | 0.134200i | \(-0.0428464\pi\) |
−0.433853 | + | 0.900984i | \(0.642846\pi\) | |||||||
\(18\) | 7.25367 | + | 13.0420i | 0.402981 | + | 0.724555i | ||||
\(19\) | −4.92151 | + | 15.1469i | −0.259027 | + | 0.797203i | 0.733983 | + | 0.679168i | \(0.237659\pi\) |
−0.993009 | + | 0.118035i | \(0.962341\pi\) | |||||||
\(20\) | −0.513421 | + | 0.706663i | −0.0256710 | + | 0.0353331i | ||||
\(21\) | 6.04332 | + | 4.97448i | 0.287777 | + | 0.236880i | ||||
\(22\) | 17.7573 | + | 4.16754i | 0.807148 | + | 0.189434i | ||||
\(23\) | 23.1295i | 1.00563i | 0.864395 | + | 0.502814i | \(0.167702\pi\) | ||||
−0.864395 | + | 0.502814i | \(0.832298\pi\) | |||||||
\(24\) | −25.2819 | + | 6.55762i | −1.05341 | + | 0.273234i | ||||
\(25\) | 7.57465 | − | 23.3124i | 0.302986 | − | 0.932495i | ||||
\(26\) | 26.9935 | − | 8.77071i | 1.03821 | − | 0.337335i | ||||
\(27\) | −3.58157 | − | 26.7614i | −0.132651 | − | 0.991163i | ||||
\(28\) | −2.63959 | + | 1.91777i | −0.0942710 | + | 0.0684919i | ||||
\(29\) | 5.10329 | − | 1.65816i | 0.175976 | − | 0.0571779i | −0.219704 | − | 0.975567i | \(-0.570509\pi\) |
0.395679 | + | 0.918389i | \(0.370509\pi\) | |||||||
\(30\) | −2.92919 | + | 1.86904i | −0.0976397 | + | 0.0623014i | ||||
\(31\) | 3.28671 | + | 2.38793i | 0.106023 | + | 0.0770301i | 0.639533 | − | 0.768763i | \(-0.279128\pi\) |
−0.533511 | + | 0.845793i | \(0.679128\pi\) | |||||||
\(32\) | − | 19.1813i | − | 0.599415i | ||||||
\(33\) | −27.1415 | − | 18.7706i | −0.822471 | − | 0.568807i | ||||
\(34\) | −26.7172 | −0.785799 | ||||||||
\(35\) | −1.07122 | + | 1.47441i | −0.0306064 | + | 0.0421260i | ||||
\(36\) | 11.1726 | + | 1.35562i | 0.310351 | + | 0.0376562i | ||||
\(37\) | 19.6322 | + | 60.4217i | 0.530600 | + | 1.63302i | 0.752968 | + | 0.658057i | \(0.228621\pi\) |
−0.222368 | + | 0.974963i | \(0.571379\pi\) | |||||||
\(38\) | −15.5225 | − | 21.3649i | −0.408486 | − | 0.562233i | ||||
\(39\) | −51.2573 | − | 3.09828i | −1.31429 | − | 0.0794430i | ||||
\(40\) | −1.87922 | − | 5.78366i | −0.0469806 | − | 0.144591i | ||||
\(41\) | 64.1371 | + | 20.8394i | 1.56432 | + | 0.508278i | 0.957958 | − | 0.286910i | \(-0.0926281\pi\) |
0.606362 | + | 0.795188i | \(0.292628\pi\) | |||||||
\(42\) | −12.5632 | + | 3.25865i | −0.299124 | + | 0.0775869i | ||||
\(43\) | −22.6622 | −0.527028 | −0.263514 | − | 0.964656i | \(-0.584882\pi\) | ||||
−0.263514 | + | 0.964656i | \(0.584882\pi\) | |||||||
\(44\) | 10.4142 | − | 8.98672i | 0.236685 | − | 0.204244i | ||||
\(45\) | 6.16931 | − | 1.20834i | 0.137096 | − | 0.0268521i | ||||
\(46\) | −31.0277 | − | 22.5429i | −0.674515 | − | 0.490064i | ||||
\(47\) | −70.2078 | − | 22.8119i | −1.49378 | − | 0.485360i | −0.555585 | − | 0.831460i | \(-0.687506\pi\) |
−0.938198 | + | 0.346100i | \(0.887506\pi\) | |||||||
\(48\) | 10.3541 | − | 26.3407i | 0.215711 | − | 0.548764i | ||||
\(49\) | 34.1345 | − | 24.8002i | 0.696622 | − | 0.506126i | ||||
\(50\) | 23.8905 | + | 32.8825i | 0.477810 | + | 0.657649i | ||||
\(51\) | 44.9868 | + | 17.6837i | 0.882095 | + | 0.346739i | ||||
\(52\) | 6.61446 | − | 20.3572i | 0.127201 | − | 0.391485i | ||||
\(53\) | −25.1873 | + | 34.6673i | −0.475232 | + | 0.654100i | −0.977580 | − | 0.210565i | \(-0.932470\pi\) |
0.502348 | + | 0.864666i | \(0.332470\pi\) | |||||||
\(54\) | 39.3906 | + | 21.2782i | 0.729456 | + | 0.394040i | ||||
\(55\) | 3.98120 | − | 6.57167i | 0.0723854 | − | 0.119485i | ||||
\(56\) | − | 22.7154i | − | 0.405632i | ||||||
\(57\) | 11.9960 | + | 46.2486i | 0.210455 | + | 0.811379i | ||||
\(58\) | −2.74949 | + | 8.46207i | −0.0474051 | + | 0.145898i | ||||
\(59\) | −27.3316 | + | 8.88056i | −0.463247 | + | 0.150518i | −0.531336 | − | 0.847161i | \(-0.678310\pi\) |
0.0680891 | + | 0.997679i | \(0.478310\pi\) | |||||||
\(60\) | −0.158106 | + | 2.61568i | −0.00263510 | + | 0.0435946i | ||||
\(61\) | 37.4585 | − | 27.2152i | 0.614074 | − | 0.446151i | −0.236772 | − | 0.971565i | \(-0.576090\pi\) |
0.850847 | + | 0.525414i | \(0.176090\pi\) | |||||||
\(62\) | −6.40673 | + | 2.08167i | −0.103334 | + | 0.0335753i | ||||
\(63\) | 23.3110 | + | 2.82843i | 0.370016 | + | 0.0448957i | ||||
\(64\) | 56.2610 | + | 40.8760i | 0.879079 | + | 0.638688i | ||||
\(65\) | − | 11.9562i | − | 0.183942i | ||||||
\(66\) | 51.6337 | − | 18.1152i | 0.782329 | − | 0.274472i | ||||
\(67\) | −77.2821 | −1.15346 | −0.576732 | − | 0.816933i | \(-0.695672\pi\) | ||||
−0.576732 | + | 0.816933i | \(0.695672\pi\) | |||||||
\(68\) | −11.8432 | + | 16.3008i | −0.174165 | + | 0.239717i | ||||
\(69\) | 37.3241 | + | 58.4949i | 0.540929 | + | 0.847752i | ||||
\(70\) | −0.933834 | − | 2.87405i | −0.0133405 | − | 0.0410578i | ||||
\(71\) | 24.2537 | + | 33.3824i | 0.341601 | + | 0.470174i | 0.944908 | − | 0.327335i | \(-0.106151\pi\) |
−0.603307 | + | 0.797509i | \(0.706151\pi\) | |||||||
\(72\) | −53.3565 | + | 57.3820i | −0.741062 | + | 0.796972i | ||||
\(73\) | −17.5438 | − | 53.9942i | −0.240326 | − | 0.739647i | −0.996370 | − | 0.0851266i | \(-0.972871\pi\) |
0.756044 | − | 0.654521i | \(-0.227129\pi\) | |||||||
\(74\) | −100.189 | − | 32.5533i | −1.35390 | − | 0.439910i | ||||
\(75\) | −18.4629 | − | 71.1808i | −0.246172 | − | 0.949077i | ||||
\(76\) | −19.9160 | −0.262053 | ||||||||
\(77\) | 21.7285 | − | 18.7503i | 0.282189 | − | 0.243510i | ||||
\(78\) | 54.1137 | − | 65.7409i | 0.693766 | − | 0.842831i | ||||
\(79\) | 41.1994 | + | 29.9331i | 0.521512 | + | 0.378901i | 0.817173 | − | 0.576392i | \(-0.195540\pi\) |
−0.295661 | + | 0.955293i | \(0.595540\pi\) | |||||||
\(80\) | 6.26730 | + | 2.03637i | 0.0783412 | + | 0.0254546i | ||||
\(81\) | −52.2429 | − | 61.9006i | −0.644974 | − | 0.764205i | ||||
\(82\) | −90.4664 | + | 65.7277i | −1.10325 | + | 0.801557i | ||||
\(83\) | −34.8026 | − | 47.9017i | −0.419309 | − | 0.577129i | 0.546149 | − | 0.837688i | \(-0.316093\pi\) |
−0.965458 | + | 0.260559i | \(0.916093\pi\) | |||||||
\(84\) | −3.58085 | + | 9.10961i | −0.0426292 | + | 0.108448i | ||||
\(85\) | −3.47788 | + | 10.7038i | −0.0409163 | + | 0.125927i | ||||
\(86\) | 22.0875 | − | 30.4009i | 0.256832 | − | 0.353499i | ||||
\(87\) | 10.2306 | − | 12.4287i | 0.117593 | − | 0.142859i | ||||
\(88\) | 8.00033 | + | 95.4332i | 0.0909128 | + | 1.08447i | ||||
\(89\) | − | 38.1909i | − | 0.429112i | −0.976712 | − | 0.214556i | \(-0.931170\pi\) | ||
0.976712 | − | 0.214556i | \(-0.0688304\pi\) | |||||||
\(90\) | −4.39190 | + | 9.45370i | −0.0487989 | + | 0.105041i | ||||
\(91\) | 13.8007 | − | 42.4742i | 0.151656 | − | 0.466749i | ||||
\(92\) | −27.5079 | + | 8.93786i | −0.298999 | + | 0.0971507i | ||||
\(93\) | 12.1656 | + | 0.735356i | 0.130813 | + | 0.00790705i | ||||
\(94\) | 99.0291 | − | 71.9489i | 1.05350 | − | 0.765414i | ||||
\(95\) | −10.5801 | + | 3.43769i | −0.111370 | + | 0.0361862i | ||||
\(96\) | −30.9530 | − | 48.5099i | −0.322427 | − | 0.505312i | ||||
\(97\) | −13.1808 | − | 9.57644i | −0.135885 | − | 0.0987262i | 0.517766 | − | 0.855522i | \(-0.326764\pi\) |
−0.653651 | + | 0.756796i | \(0.726764\pi\) | |||||||
\(98\) | 69.9620i | 0.713898i | ||||||||
\(99\) | −98.9318 | − | 3.67286i | −0.999312 | − | 0.0370996i | ||||
\(100\) | 30.6525 | 0.306525 | ||||||||
\(101\) | 61.2440 | − | 84.2951i | 0.606376 | − | 0.834605i | −0.389897 | − | 0.920858i | \(-0.627490\pi\) |
0.996273 | + | 0.0862537i | \(0.0274895\pi\) | |||||||
\(102\) | −67.5683 | + | 43.1137i | −0.662435 | + | 0.422683i | ||||
\(103\) | 16.8125 | + | 51.7437i | 0.163229 | + | 0.502366i | 0.998901 | − | 0.0468618i | \(-0.0149220\pi\) |
−0.835673 | + | 0.549227i | \(0.814922\pi\) | |||||||
\(104\) | 87.5936 | + | 120.562i | 0.842246 | + | 1.15925i | ||||
\(105\) | −0.329879 | + | 5.45746i | −0.00314171 | + | 0.0519758i | ||||
\(106\) | −21.9569 | − | 67.5764i | −0.207141 | − | 0.637514i | ||||
\(107\) | 27.0164 | + | 8.77818i | 0.252490 | + | 0.0820390i | 0.432527 | − | 0.901621i | \(-0.357622\pi\) |
−0.180037 | + | 0.983660i | \(0.557622\pi\) | |||||||
\(108\) | 30.4434 | − | 14.6009i | 0.281883 | − | 0.135194i | ||||
\(109\) | −41.2540 | −0.378477 | −0.189238 | − | 0.981931i | \(-0.560602\pi\) | ||||
−0.189238 | + | 0.981931i | \(0.560602\pi\) | |||||||
\(110\) | 4.93551 | + | 11.7457i | 0.0448683 | + | 0.106779i | ||||
\(111\) | 147.153 | + | 121.127i | 1.32570 | + | 1.09124i | ||||
\(112\) | 19.9139 | + | 14.4683i | 0.177802 | + | 0.129181i | ||||
\(113\) | 138.072 | + | 44.8625i | 1.22188 | + | 0.397013i | 0.847766 | − | 0.530370i | \(-0.177947\pi\) |
0.374114 | + | 0.927383i | \(0.377947\pi\) | |||||||
\(114\) | −73.7333 | − | 28.9835i | −0.646783 | − | 0.254241i | ||||
\(115\) | −13.0705 | + | 9.49626i | −0.113656 | + | 0.0825762i | ||||
\(116\) | 3.94411 | + | 5.42860i | 0.0340009 | + | 0.0467983i | ||||
\(117\) | −134.630 | + | 74.8786i | −1.15069 | + | 0.639988i | ||||
\(118\) | 14.7254 | − | 45.3201i | 0.124791 | − | 0.384069i | ||||
\(119\) | −24.7101 | + | 34.0106i | −0.207648 | + | 0.285803i | ||||
\(120\) | −14.0857 | − | 11.5945i | −0.117381 | − | 0.0966207i | ||||
\(121\) | −84.6834 | + | 86.4275i | −0.699863 | + | 0.714277i | ||||
\(122\) | 76.7749i | 0.629303i | ||||||||
\(123\) | 195.833 | − | 50.7951i | 1.59214 | − | 0.412968i | ||||
\(124\) | −1.56990 | + | 4.83165i | −0.0126605 | + | 0.0389650i | ||||
\(125\) | 32.8917 | − | 10.6872i | 0.263134 | − | 0.0854973i | ||||
\(126\) | −26.5142 | + | 28.5146i | −0.210430 | + | 0.226306i | ||||
\(127\) | 147.873 | − | 107.436i | 1.16436 | − | 0.845955i | 0.174034 | − | 0.984740i | \(-0.444320\pi\) |
0.990323 | + | 0.138785i | \(0.0443197\pi\) | |||||||
\(128\) | −36.6987 | + | 11.9241i | −0.286709 | + | 0.0931574i | ||||
\(129\) | −57.3132 | + | 36.5701i | −0.444289 | + | 0.283489i | ||||
\(130\) | 16.0391 | + | 11.6531i | 0.123377 | + | 0.0896389i | ||||
\(131\) | − | 84.5109i | − | 0.645121i | −0.946549 | − | 0.322561i | \(-0.895456\pi\) | ||
0.946549 | − | 0.322561i | \(-0.104544\pi\) | |||||||
\(132\) | 11.8357 | − | 39.5330i | 0.0896645 | − | 0.299492i | ||||
\(133\) | −41.5536 | −0.312433 | ||||||||
\(134\) | 75.3223 | − | 103.672i | 0.562107 | − | 0.773674i | ||||
\(135\) | 13.6524 | − | 13.0114i | 0.101129 | − | 0.0963806i | ||||
\(136\) | −43.3485 | − | 133.413i | −0.318739 | − | 0.980978i | ||||
\(137\) | −120.127 | − | 165.341i | −0.876841 | − | 1.20687i | −0.977286 | − | 0.211925i | \(-0.932027\pi\) |
0.100445 | − | 0.994943i | \(-0.467973\pi\) | |||||||
\(138\) | −114.847 | − | 6.94202i | −0.832227 | − | 0.0503045i | ||||
\(139\) | −15.5254 | − | 47.7824i | −0.111694 | − | 0.343758i | 0.879549 | − | 0.475808i | \(-0.157844\pi\) |
−0.991243 | + | 0.132050i | \(0.957844\pi\) | |||||||
\(140\) | −2.16747 | − | 0.704254i | −0.0154819 | − | 0.00503039i | ||||
\(141\) | −214.369 | + | 55.6029i | −1.52035 | + | 0.394347i | ||||
\(142\) | −68.4204 | −0.481834 | ||||||||
\(143\) | −43.0210 | + | 183.306i | −0.300846 | + | 1.28186i | ||||
\(144\) | −16.3203 | − | 83.3246i | −0.113335 | − | 0.578643i | ||||
\(145\) | 3.03229 | + | 2.20308i | 0.0209123 | + | 0.0151937i | ||||
\(146\) | 89.5311 | + | 29.0904i | 0.613227 | + | 0.199249i | ||||
\(147\) | 46.3067 | − | 117.803i | 0.315012 | − | 0.801382i | ||||
\(148\) | −64.2733 | + | 46.6973i | −0.434279 | + | 0.315522i | ||||
\(149\) | −92.5187 | − | 127.341i | −0.620931 | − | 0.854638i | 0.376490 | − | 0.926421i | \(-0.377131\pi\) |
−0.997420 | + | 0.0717830i | \(0.977131\pi\) | |||||||
\(150\) | 113.482 | + | 44.6082i | 0.756548 | + | 0.297388i | ||||
\(151\) | −52.9598 | + | 162.993i | −0.350727 | + | 1.07943i | 0.607719 | + | 0.794152i | \(0.292085\pi\) |
−0.958446 | + | 0.285274i | \(0.907915\pi\) | |||||||
\(152\) | 81.5009 | − | 112.176i | 0.536190 | − | 0.738002i | ||||
\(153\) | 142.309 | − | 27.8731i | 0.930124 | − | 0.182177i | ||||
\(154\) | 3.97557 | + | 47.4232i | 0.0258154 | + | 0.307943i | ||||
\(155\) | 2.83774i | 0.0183080i | ||||||||
\(156\) | −16.1224 | − | 62.1577i | −0.103349 | − | 0.398447i | ||||
\(157\) | −20.1905 | + | 62.1401i | −0.128602 | + | 0.395797i | −0.994540 | − | 0.104355i | \(-0.966722\pi\) |
0.865938 | + | 0.500151i | \(0.166722\pi\) | |||||||
\(158\) | −80.3094 | + | 26.0941i | −0.508287 | + | 0.165153i | ||||
\(159\) | −7.75634 | + | 128.319i | −0.0487820 | + | 0.807040i | ||||
\(160\) | 10.8394 | − | 7.87526i | 0.0677461 | − | 0.0492204i | ||||
\(161\) | −57.3937 | + | 18.6483i | −0.356483 | + | 0.115828i | ||||
\(162\) | 133.956 | − | 9.75188i | 0.826892 | − | 0.0601968i | ||||
\(163\) | 12.4900 | + | 9.07449i | 0.0766256 | + | 0.0556717i | 0.625439 | − | 0.780273i | \(-0.284920\pi\) |
−0.548813 | + | 0.835945i | \(0.684920\pi\) | |||||||
\(164\) | 84.3314i | 0.514216i | ||||||||
\(165\) | −0.536201 | − | 23.0444i | −0.00324970 | − | 0.139663i | ||||
\(166\) | 98.1792 | 0.591441 | ||||||||
\(167\) | −90.5798 | + | 124.672i | −0.542394 | + | 0.746542i | −0.988956 | − | 0.148211i | \(-0.952648\pi\) |
0.446561 | + | 0.894753i | \(0.352648\pi\) | |||||||
\(168\) | −36.6559 | − | 57.4477i | −0.218190 | − | 0.341951i | ||||
\(169\) | 38.3149 | + | 117.921i | 0.226715 | + | 0.697758i | ||||
\(170\) | −10.9693 | − | 15.0979i | −0.0645251 | − | 0.0888112i | ||||
\(171\) | 104.970 | + | 97.6058i | 0.613858 | + | 0.570794i | ||||
\(172\) | −8.75731 | − | 26.9522i | −0.0509146 | − | 0.156699i | ||||
\(173\) | 23.8744 | + | 7.75725i | 0.138002 | + | 0.0448396i | 0.377204 | − | 0.926130i | \(-0.376886\pi\) |
−0.239202 | + | 0.970970i | \(0.576886\pi\) | |||||||
\(174\) | 6.70176 | + | 25.8376i | 0.0385159 | + | 0.148492i | ||||
\(175\) | 63.9548 | 0.365456 | ||||||||
\(176\) | −88.7590 | − | 53.7713i | −0.504312 | − | 0.305519i | ||||
\(177\) | −54.7915 | + | 66.5642i | −0.309556 | + | 0.376069i | ||||
\(178\) | 51.2323 | + | 37.2225i | 0.287822 | + | 0.209115i | ||||
\(179\) | −58.7800 | − | 19.0988i | −0.328380 | − | 0.106697i | 0.140187 | − | 0.990125i | \(-0.455230\pi\) |
−0.468567 | + | 0.883428i | \(0.655230\pi\) | |||||||
\(180\) | 3.82108 | + | 6.87024i | 0.0212282 | + | 0.0381680i | ||||
\(181\) | 120.062 | − | 87.2301i | 0.663325 | − | 0.481934i | −0.204459 | − | 0.978875i | \(-0.565544\pi\) |
0.867784 | + | 0.496941i | \(0.165544\pi\) | |||||||
\(182\) | 43.5275 | + | 59.9104i | 0.239162 | + | 0.329178i | ||||
\(183\) | 50.8161 | − | 129.275i | 0.277684 | − | 0.706420i | ||||
\(184\) | 62.2265 | − | 191.513i | 0.338187 | − | 1.04083i | ||||
\(185\) | −26.0840 | + | 35.9015i | −0.140995 | + | 0.194062i | ||||
\(186\) | −12.8435 | + | 15.6032i | −0.0690513 | + | 0.0838880i | ||||
\(187\) | 91.8353 | − | 151.590i | 0.491098 | − | 0.810643i | ||||
\(188\) | − | 92.3135i | − | 0.491029i | ||||||
\(189\) | 63.5184 | − | 30.4640i | 0.336076 | − | 0.161185i | ||||
\(190\) | 5.70024 | − | 17.5435i | 0.0300013 | − | 0.0923344i | ||||
\(191\) | −53.4521 | + | 17.3676i | −0.279854 | + | 0.0909301i | −0.445581 | − | 0.895242i | \(-0.647003\pi\) |
0.165727 | + | 0.986172i | \(0.447003\pi\) | |||||||
\(192\) | 208.247 | + | 12.5876i | 1.08462 | + | 0.0655606i | ||||
\(193\) | −122.139 | + | 88.7392i | −0.632844 | + | 0.459788i | −0.857384 | − | 0.514676i | \(-0.827912\pi\) |
0.224540 | + | 0.974465i | \(0.427912\pi\) | |||||||
\(194\) | 25.6932 | − | 8.34822i | 0.132439 | − | 0.0430321i | ||||
\(195\) | −19.2939 | − | 30.2376i | −0.0989429 | − | 0.155065i | ||||
\(196\) | 42.6854 | + | 31.0128i | 0.217783 | + | 0.158228i | ||||
\(197\) | 22.3374i | 0.113388i | 0.998392 | + | 0.0566938i | \(0.0180559\pi\) | ||||
−0.998392 | + | 0.0566938i | \(0.981944\pi\) | |||||||
\(198\) | 101.350 | − | 129.135i | 0.511870 | − | 0.652198i | ||||
\(199\) | −150.930 | −0.758444 | −0.379222 | − | 0.925306i | \(-0.623808\pi\) | ||||
−0.379222 | + | 0.925306i | \(0.623808\pi\) | |||||||
\(200\) | −125.437 | + | 172.650i | −0.627186 | + | 0.863248i | ||||
\(201\) | −195.448 | + | 124.711i | −0.972379 | + | 0.620450i | ||||
\(202\) | 53.3892 | + | 164.315i | 0.264303 | + | 0.813441i | ||||
\(203\) | 8.22915 | + | 11.3265i | 0.0405377 | + | 0.0557954i | ||||
\(204\) | −3.64707 | + | 60.3364i | −0.0178778 | + | 0.295767i | ||||
\(205\) | 14.5564 | + | 44.8000i | 0.0710068 | + | 0.218537i | ||||
\(206\) | −85.7993 | − | 27.8779i | −0.416501 | − | 0.135329i | ||||
\(207\) | 188.787 | + | 87.7047i | 0.912015 | + | 0.423694i | ||||
\(208\) | −161.485 | −0.776369 | ||||||||
\(209\) | 174.577 | − | 14.6351i | 0.835299 | − | 0.0700245i | ||||
\(210\) | −6.99955 | − | 5.76159i | −0.0333312 | − | 0.0274362i | ||||
\(211\) | −146.900 | − | 106.729i | −0.696207 | − | 0.505824i | 0.182488 | − | 0.983208i | \(-0.441585\pi\) |
−0.878695 | + | 0.477384i | \(0.841585\pi\) | |||||||
\(212\) | −50.9630 | − | 16.5589i | −0.240392 | − | 0.0781079i | ||||
\(213\) | 115.207 | + | 45.2864i | 0.540880 | + | 0.212612i | ||||
\(214\) | −38.1071 | + | 27.6864i | −0.178071 | + | 0.129376i | ||||
\(215\) | −9.30442 | − | 12.8064i | −0.0432764 | − | 0.0595648i | ||||
\(216\) | −42.3421 | + | 231.222i | −0.196028 | + | 1.07047i | ||||
\(217\) | −3.27551 | + | 10.0810i | −0.0150945 | + | 0.0464561i | ||||
\(218\) | 40.2078 | − | 55.3414i | 0.184440 | − | 0.253859i | ||||
\(219\) | −131.499 | − | 108.242i | −0.600454 | − | 0.494256i | ||||
\(220\) | 9.35415 | + | 2.19537i | 0.0425189 | + | 0.00997897i | ||||
\(221\) | − | 275.798i | − | 1.24795i | ||||||
\(222\) | −305.911 | + | 79.3473i | −1.37798 | + | 0.357420i | ||||
\(223\) | 58.1059 | − | 178.831i | 0.260564 | − | 0.801935i | −0.732118 | − | 0.681178i | \(-0.761468\pi\) |
0.992682 | − | 0.120757i | \(-0.0385321\pi\) | |||||||
\(224\) | 47.5967 | − | 15.4651i | 0.212485 | − | 0.0690406i | ||||
\(225\) | −161.558 | − | 150.224i | −0.718035 | − | 0.667663i | ||||
\(226\) | −194.753 | + | 141.497i | −0.861740 | + | 0.626091i | ||||
\(227\) | 408.219 | − | 132.638i | 1.79832 | − | 0.584310i | 0.798478 | − | 0.602024i | \(-0.205639\pi\) |
0.999843 | + | 0.0177135i | \(0.00563869\pi\) | |||||||
\(228\) | −50.3680 | + | 32.1386i | −0.220912 | + | 0.140959i | ||||
\(229\) | −109.845 | − | 79.8068i | −0.479671 | − | 0.348501i | 0.321527 | − | 0.946900i | \(-0.395804\pi\) |
−0.801198 | + | 0.598399i | \(0.795804\pi\) | |||||||
\(230\) | − | 26.7892i | − | 0.116475i | ||||||
\(231\) | 24.6945 | − | 82.4833i | 0.106903 | − | 0.357071i | ||||
\(232\) | −46.7166 | −0.201365 | ||||||||
\(233\) | −192.141 | + | 264.459i | −0.824638 | + | 1.13502i | 0.164259 | + | 0.986417i | \(0.447477\pi\) |
−0.988897 | + | 0.148600i | \(0.952523\pi\) | |||||||
\(234\) | 30.7685 | − | 253.584i | 0.131489 | − | 1.08369i | ||||
\(235\) | −15.9342 | − | 49.0404i | −0.0678051 | − | 0.208683i | ||||
\(236\) | −21.1233 | − | 29.0738i | −0.0895057 | − | 0.123194i | ||||
\(237\) | 152.498 | + | 9.21781i | 0.643450 | + | 0.0388937i | ||||
\(238\) | −21.5410 | − | 66.2963i | −0.0905083 | − | 0.278556i | ||||
\(239\) | 88.8791 | + | 28.8786i | 0.371879 | + | 0.120831i | 0.488993 | − | 0.872288i | \(-0.337364\pi\) |
−0.117114 | + | 0.993118i | \(0.537364\pi\) | |||||||
\(240\) | 19.1362 | − | 4.96355i | 0.0797343 | − | 0.0206815i | ||||
\(241\) | 206.766 | 0.857952 | 0.428976 | − | 0.903316i | \(-0.358875\pi\) | ||||
0.428976 | + | 0.903316i | \(0.358875\pi\) | |||||||
\(242\) | −33.4048 | − | 197.837i | −0.138036 | − | 0.817508i | ||||
\(243\) | −232.013 | − | 72.2432i | −0.954785 | − | 0.297297i | ||||
\(244\) | 46.8421 | + | 34.0328i | 0.191976 | + | 0.139479i | ||||
\(245\) | 28.0292 | + | 9.10724i | 0.114405 | + | 0.0371724i | ||||
\(246\) | −122.726 | + | 312.213i | −0.498887 | + | 1.26916i | ||||
\(247\) | 220.546 | − | 160.236i | 0.892900 | − | 0.648730i | ||||
\(248\) | −20.7898 | − | 28.6147i | −0.0838297 | − | 0.115382i | ||||
\(249\) | −165.316 | − | 64.9833i | −0.663919 | − | 0.260977i | ||||
\(250\) | −17.7210 | + | 54.5397i | −0.0708841 | + | 0.218159i | ||||
\(251\) | −1.64009 | + | 2.25739i | −0.00653422 | + | 0.00899358i | −0.812272 | − | 0.583279i | \(-0.801769\pi\) |
0.805737 | + | 0.592273i | \(0.201769\pi\) | |||||||
\(252\) | 5.64417 | + | 28.8168i | 0.0223975 | + | 0.114353i | ||||
\(253\) | 234.558 | − | 98.5605i | 0.927106 | − | 0.389567i | ||||
\(254\) | 303.081i | 1.19323i | ||||||||
\(255\) | 8.47718 | + | 32.6825i | 0.0332439 | + | 0.128167i | ||||
\(256\) | −66.1871 | + | 203.703i | −0.258543 | + | 0.795714i | ||||
\(257\) | 380.619 | − | 123.671i | 1.48101 | − | 0.481208i | 0.546593 | − | 0.837398i | \(-0.315924\pi\) |
0.934414 | + | 0.356190i | \(0.115924\pi\) | |||||||
\(258\) | 6.80178 | − | 112.527i | 0.0263635 | − | 0.436152i | ||||
\(259\) | −134.103 | + | 97.4312i | −0.517770 | + | 0.376182i | ||||
\(260\) | 14.2196 | − | 4.62022i | 0.0546907 | − | 0.0177701i | ||||
\(261\) | 5.81698 | − | 47.9416i | 0.0222873 | − | 0.183684i | ||||
\(262\) | 113.370 | + | 82.3678i | 0.432708 | + | 0.314381i | ||||
\(263\) | 379.212i | 1.44187i | 0.693003 | + | 0.720935i | \(0.256287\pi\) | ||||
−0.693003 | + | 0.720935i | \(0.743713\pi\) | |||||||
\(264\) | 174.234 | + | 228.443i | 0.659978 | + | 0.865313i | ||||
\(265\) | −29.9317 | −0.112950 | ||||||||
\(266\) | 40.4999 | − | 55.7433i | 0.152255 | − | 0.209561i | ||||
\(267\) | −61.6289 | − | 96.5857i | −0.230820 | − | 0.361744i | ||||
\(268\) | −29.8639 | − | 91.9118i | −0.111433 | − | 0.342954i | ||||
\(269\) | 18.3393 | + | 25.2419i | 0.0681760 | + | 0.0938362i | 0.841743 | − | 0.539878i | \(-0.181530\pi\) |
−0.773567 | + | 0.633714i | \(0.781530\pi\) | |||||||
\(270\) | 4.14828 | + | 30.9959i | 0.0153640 | + | 0.114799i | ||||
\(271\) | 160.104 | + | 492.748i | 0.590788 | + | 1.81826i | 0.574664 | + | 0.818390i | \(0.305133\pi\) |
0.0161246 | + | 0.999870i | \(0.494867\pi\) | |||||||
\(272\) | 144.569 | + | 46.9734i | 0.531505 | + | 0.172696i | ||||
\(273\) | −33.6386 | − | 129.688i | −0.123218 | − | 0.475049i | ||||
\(274\) | 338.882 | 1.23680 | ||||||||
\(275\) | −268.691 | + | 22.5248i | −0.977056 | + | 0.0819083i | ||||
\(276\) | −55.1450 | + | 66.9937i | −0.199801 | + | 0.242731i | ||||
\(277\) | −297.684 | − | 216.280i | −1.07467 | − | 0.780795i | −0.0979254 | − | 0.995194i | \(-0.531221\pi\) |
−0.976746 | + | 0.214399i | \(0.931221\pi\) | |||||||
\(278\) | 79.2308 | + | 25.7436i | 0.285003 | + | 0.0926031i | ||||
\(279\) | 31.9537 | − | 17.7719i | 0.114529 | − | 0.0636987i | ||||
\(280\) | 12.8365 | − | 9.32625i | 0.0458446 | − | 0.0333081i | ||||
\(281\) | 188.322 | + | 259.203i | 0.670184 | + | 0.922429i | 0.999765 | − | 0.0216982i | \(-0.00690730\pi\) |
−0.329580 | + | 0.944127i | \(0.606907\pi\) | |||||||
\(282\) | 134.343 | − | 341.764i | 0.476392 | − | 1.21193i | ||||
\(283\) | −49.6883 | + | 152.925i | −0.175577 | + | 0.540371i | −0.999659 | − | 0.0260993i | \(-0.991691\pi\) |
0.824082 | + | 0.566470i | \(0.191691\pi\) | |||||||
\(284\) | −30.3294 | + | 41.7449i | −0.106794 | + | 0.146989i | ||||
\(285\) | −21.2100 | + | 25.7672i | −0.0744209 | + | 0.0904113i | ||||
\(286\) | −203.971 | − | 236.369i | −0.713184 | − | 0.826465i | ||||
\(287\) | 175.953i | 0.613075i | ||||||||
\(288\) | −156.561 | − | 72.7337i | −0.543616 | − | 0.252547i | ||||
\(289\) | 9.08071 | − | 27.9475i | 0.0314211 | − | 0.0967043i | ||||
\(290\) | −5.91079 | + | 1.92053i | −0.0203820 | + | 0.00662252i | ||||
\(291\) | −48.7882 | − | 2.94903i | −0.167657 | − | 0.0101341i | ||||
\(292\) | 57.4361 | − | 41.7298i | 0.196699 | − | 0.142910i | ||||
\(293\) | −276.702 | + | 89.9060i | −0.944377 | + | 0.306847i | −0.740429 | − | 0.672135i | \(-0.765377\pi\) |
−0.203948 | + | 0.978982i | \(0.565377\pi\) | |||||||
\(294\) | 112.898 | + | 176.935i | 0.384007 | + | 0.601821i | ||||
\(295\) | −16.2399 | − | 11.7990i | −0.0550506 | − | 0.0399966i | ||||
\(296\) | − | 553.114i | − | 1.86863i | ||||||
\(297\) | −256.128 | + | 150.358i | −0.862383 | + | 0.506256i | ||||
\(298\) | 260.998 | 0.875832 | ||||||||
\(299\) | 232.707 | − | 320.294i | 0.778286 | − | 1.07122i | ||||
\(300\) | 77.5209 | − | 49.4642i | 0.258403 | − | 0.164881i | ||||
\(301\) | −18.2716 | − | 56.2343i | −0.0607030 | − | 0.186825i | ||||
\(302\) | −167.035 | − | 229.905i | −0.553097 | − | 0.761273i | ||||
\(303\) | 18.8599 | − | 312.014i | 0.0622438 | − | 1.02975i | ||||
\(304\) | 46.4306 | + | 142.899i | 0.152732 | + | 0.470061i | ||||
\(305\) | 30.7587 | + | 9.99411i | 0.100848 | + | 0.0327676i | ||||
\(306\) | −101.309 | + | 218.071i | −0.331075 | + | 0.712650i | ||||
\(307\) | −281.800 | −0.917915 | −0.458957 | − | 0.888458i | \(-0.651777\pi\) | ||||
−0.458957 | + | 0.888458i | \(0.651777\pi\) | |||||||
\(308\) | 30.6963 | + | 18.5962i | 0.0996632 | + | 0.0603772i | ||||
\(309\) | 126.018 | + | 103.730i | 0.407826 | + | 0.335697i | ||||
\(310\) | −3.80676 | − | 2.76578i | −0.0122799 | − | 0.00892186i | ||||
\(311\) | −450.565 | − | 146.398i | −1.44876 | − | 0.470732i | −0.524146 | − | 0.851628i | \(-0.675615\pi\) |
−0.924618 | + | 0.380897i | \(0.875615\pi\) | |||||||
\(312\) | 416.078 | + | 163.554i | 1.33358 | + | 0.524212i | ||||
\(313\) | 24.2496 | − | 17.6184i | 0.0774748 | − | 0.0562887i | −0.548374 | − | 0.836233i | \(-0.684753\pi\) |
0.625848 | + | 0.779945i | \(0.284753\pi\) | |||||||
\(314\) | −63.6811 | − | 87.6495i | −0.202806 | − | 0.279139i | ||||
\(315\) | 7.97246 | + | 14.3344i | 0.0253094 | + | 0.0455059i | ||||
\(316\) | −19.6790 | + | 60.5656i | −0.0622752 | + | 0.191663i | ||||
\(317\) | −93.6204 | + | 128.857i | −0.295333 | + | 0.406490i | −0.930737 | − | 0.365689i | \(-0.880833\pi\) |
0.635405 | + | 0.772179i | \(0.280833\pi\) | |||||||
\(318\) | −164.578 | − | 135.470i | −0.517541 | − | 0.426007i | ||||
\(319\) | −38.5620 | − | 44.6871i | −0.120884 | − | 0.140085i | ||||
\(320\) | 48.5757i | 0.151799i | ||||||||
\(321\) | 82.4906 | − | 21.3964i | 0.256980 | − | 0.0666555i | ||||
\(322\) | 30.9219 | − | 95.1679i | 0.0960308 | − | 0.295552i | ||||
\(323\) | −244.054 | + | 79.2981i | −0.755586 | + | 0.245505i | ||||
\(324\) | 53.4304 | − | 86.0527i | 0.164909 | − | 0.265595i | ||||
\(325\) | −339.441 | + | 246.618i | −1.04443 | + | 0.758825i | ||||
\(326\) | −24.3465 | + | 7.91065i | −0.0746825 | + | 0.0242658i | ||||
\(327\) | −104.332 | + | 66.5718i | −0.319059 | + | 0.203583i | ||||
\(328\) | −474.994 | − | 345.103i | −1.44815 | − | 1.05214i | ||||
\(329\) | − | 192.607i | − | 0.585431i | ||||||
\(330\) | 31.4362 | + | 21.7407i | 0.0952611 | + | 0.0658809i | ||||
\(331\) | 332.709 | 1.00516 | 0.502582 | − | 0.864530i | \(-0.332384\pi\) | ||||
0.502582 | + | 0.864530i | \(0.332384\pi\) | |||||||
\(332\) | 43.5209 | − | 59.9014i | 0.131087 | − | 0.180426i | ||||
\(333\) | 567.617 | + | 68.8716i | 1.70456 | + | 0.206822i | ||||
\(334\) | −78.9626 | − | 243.022i | −0.236415 | − | 0.727611i | ||||
\(335\) | −31.7297 | − | 43.6722i | −0.0947155 | − | 0.130365i | ||||
\(336\) | 73.7101 | + | 4.45545i | 0.219375 | + | 0.0132603i | ||||
\(337\) | 17.1212 | + | 52.6936i | 0.0508047 | + | 0.156361i | 0.973240 | − | 0.229791i | \(-0.0738042\pi\) |
−0.922435 | + | 0.386152i | \(0.873804\pi\) | |||||||
\(338\) | −195.532 | − | 63.5322i | −0.578497 | − | 0.187965i | ||||
\(339\) | 421.583 | − | 109.350i | 1.24361 | − | 0.322567i | ||||
\(340\) | −14.0740 | −0.0413942 | ||||||||
\(341\) | 10.2107 | − | 43.5064i | 0.0299435 | − | 0.127585i | ||||
\(342\) | −233.244 | + | 45.6840i | −0.682000 | + | 0.133579i | ||||
\(343\) | 192.491 | + | 139.853i | 0.561197 | + | 0.407733i | ||||
\(344\) | 187.645 | + | 60.9694i | 0.545478 | + | 0.177237i | ||||
\(345\) | −17.7314 | + | 45.1082i | −0.0513953 | + | 0.130748i | ||||
\(346\) | −33.6751 | + | 24.4664i | −0.0973270 | + | 0.0707122i | ||||
\(347\) | 81.4326 | + | 112.082i | 0.234676 | + | 0.323004i | 0.910071 | − | 0.414452i | \(-0.136027\pi\) |
−0.675395 | + | 0.737456i | \(0.736027\pi\) | |||||||
\(348\) | 18.7349 | + | 7.36441i | 0.0538359 | + | 0.0211621i | ||||
\(349\) | 69.9974 | − | 215.430i | 0.200566 | − | 0.617277i | −0.799301 | − | 0.600931i | \(-0.794797\pi\) |
0.999866 | − | 0.0163462i | \(-0.00520338\pi\) | |||||||
\(350\) | −62.3330 | + | 85.7940i | −0.178094 | + | 0.245126i | ||||
\(351\) | −219.652 | + | 406.624i | −0.625788 | + | 1.15847i | ||||
\(352\) | −194.519 | + | 81.7364i | −0.552611 | + | 0.232206i | ||||
\(353\) | 258.939i | 0.733538i | 0.930312 | + | 0.366769i | \(0.119536\pi\) | ||||
−0.930312 | + | 0.366769i | \(0.880464\pi\) | |||||||
\(354\) | −35.8925 | − | 138.378i | −0.101391 | − | 0.390898i | ||||
\(355\) | −8.90657 | + | 27.4116i | −0.0250889 | + | 0.0772157i | ||||
\(356\) | 45.4206 | − | 14.7580i | 0.127586 | − | 0.0414552i | ||||
\(357\) | −7.60940 | + | 125.888i | −0.0213149 | + | 0.352629i | ||||
\(358\) | 82.9101 | − | 60.2377i | 0.231592 | − | 0.168262i | ||||
\(359\) | −246.358 | + | 80.0466i | −0.686234 | + | 0.222971i | −0.631323 | − | 0.775520i | \(-0.717488\pi\) |
−0.0549113 | + | 0.998491i | \(0.517488\pi\) | |||||||
\(360\) | −54.3332 | − | 6.59249i | −0.150925 | − | 0.0183125i | ||||
\(361\) | 86.8492 | + | 63.0996i | 0.240580 | + | 0.174791i | ||||
\(362\) | 246.079i | 0.679775i | ||||||||
\(363\) | −74.6976 | + | 355.231i | −0.205778 | + | 0.978599i | ||||
\(364\) | 55.8476 | 0.153428 | ||||||||
\(365\) | 23.3093 | − | 32.0824i | 0.0638610 | − | 0.0878971i | ||||
\(366\) | 123.892 | + | 194.165i | 0.338503 | + | 0.530507i | ||||
\(367\) | −61.4255 | − | 189.048i | −0.167372 | − | 0.515118i | 0.831831 | − | 0.555029i | \(-0.187293\pi\) |
−0.999203 | + | 0.0399105i | \(0.987293\pi\) | |||||||
\(368\) | 128.259 | + | 176.534i | 0.348531 | + | 0.479712i | ||||
\(369\) | 413.297 | − | 444.479i | 1.12005 | − | 1.20455i | ||||
\(370\) | −22.7386 | − | 69.9823i | −0.0614557 | − | 0.189141i | ||||
\(371\) | −106.331 | − | 34.5492i | −0.286607 | − | 0.0931244i | ||||
\(372\) | 3.82656 | + | 14.7527i | 0.0102864 | + | 0.0396578i | ||||
\(373\) | 670.467 | 1.79750 | 0.898750 | − | 0.438462i | \(-0.144477\pi\) | ||||
0.898750 | + | 0.438462i | \(0.144477\pi\) | |||||||
\(374\) | 113.849 | + | 270.941i | 0.304408 | + | 0.724442i | ||||
\(375\) | 65.9379 | − | 80.1056i | 0.175834 | − | 0.213615i | ||||
\(376\) | 519.953 | + | 377.768i | 1.38285 | + | 1.00470i | ||||
\(377\) | −87.3527 | − | 28.3826i | −0.231705 | − | 0.0752855i | ||||
\(378\) | −21.0409 | + | 114.900i | −0.0556636 | + | 0.303968i | ||||
\(379\) | −317.451 | + | 230.642i | −0.837601 | + | 0.608553i | −0.921700 | − | 0.387905i | \(-0.873199\pi\) |
0.0840983 | + | 0.996457i | \(0.473199\pi\) | |||||||
\(380\) | −8.17691 | − | 11.2546i | −0.0215182 | − | 0.0296173i | ||||
\(381\) | 200.604 | − | 510.333i | 0.526521 | − | 1.33946i | ||||
\(382\) | 28.7983 | − | 88.6321i | 0.0753883 | − | 0.232021i | ||||
\(383\) | 292.542 | − | 402.649i | 0.763817 | − | 1.05130i | −0.233070 | − | 0.972460i | \(-0.574877\pi\) |
0.996887 | − | 0.0788436i | \(-0.0251228\pi\) | |||||||
\(384\) | −73.5699 | + | 89.3774i | −0.191588 | + | 0.232754i | ||||
\(385\) | 19.5169 | + | 4.58052i | 0.0506932 | + | 0.0118975i | ||||
\(386\) | − | 250.336i | − | 0.648538i | ||||||
\(387\) | −85.9330 | + | 184.973i | −0.222049 | + | 0.477967i | ||||
\(388\) | 6.29584 | − | 19.3766i | 0.0162264 | − | 0.0499397i | ||||
\(389\) | −392.101 | + | 127.401i | −1.00797 | + | 0.327510i | −0.766047 | − | 0.642785i | \(-0.777779\pi\) |
−0.241926 | + | 0.970295i | \(0.577779\pi\) | |||||||
\(390\) | 59.3677 | + | 3.58852i | 0.152225 | + | 0.00920133i | ||||
\(391\) | −301.500 | + | 219.053i | −0.771100 | + | 0.560237i | ||||
\(392\) | −349.357 | + | 113.513i | −0.891217 | + | 0.289574i | ||||
\(393\) | −136.376 | − | 213.730i | −0.347012 | − | 0.543842i | ||||
\(394\) | −29.9651 | − | 21.7709i | −0.0760535 | − | 0.0552561i | ||||
\(395\) | 35.5715i | 0.0900544i | ||||||||
\(396\) | −33.8619 | − | 119.079i | −0.0855098 | − | 0.300705i | ||||
\(397\) | 171.230 | 0.431310 | 0.215655 | − | 0.976470i | \(-0.430811\pi\) | ||||
0.215655 | + | 0.976470i | \(0.430811\pi\) | |||||||
\(398\) | 147.103 | − | 202.470i | 0.369605 | − | 0.508718i | ||||
\(399\) | −105.090 | + | 67.0553i | −0.263383 | + | 0.168058i | ||||
\(400\) | −71.4608 | − | 219.934i | −0.178652 | − | 0.549835i | ||||
\(401\) | 426.743 | + | 587.361i | 1.06420 | + | 1.46474i | 0.875816 | + | 0.482646i | \(0.160324\pi\) |
0.188382 | + | 0.982096i | \(0.439676\pi\) | |||||||
\(402\) | 23.1953 | − | 383.738i | 0.0576996 | − | 0.954571i | ||||
\(403\) | −21.4888 | − | 66.1357i | −0.0533221 | − | 0.164108i | ||||
\(404\) | 123.919 | + | 40.2636i | 0.306729 | + | 0.0996624i | ||||
\(405\) | 13.5307 | − | 54.9370i | 0.0334092 | − | 0.135647i | ||||
\(406\) | −23.2147 | −0.0571790 | ||||||||
\(407\) | 529.084 | − | 456.564i | 1.29996 | − | 1.12178i | ||||
\(408\) | −324.919 | − | 267.453i | −0.796369 | − | 0.655521i | ||||
\(409\) | −243.830 | − | 177.153i | −0.596161 | − | 0.433137i | 0.248353 | − | 0.968670i | \(-0.420111\pi\) |
−0.844514 | + | 0.535533i | \(0.820111\pi\) | |||||||
\(410\) | −74.2855 | − | 24.1368i | −0.181184 | − | 0.0588703i | ||||
\(411\) | −570.616 | − | 224.301i | −1.38836 | − | 0.545744i | ||||
\(412\) | −55.0420 | + | 39.9904i | −0.133597 | + | 0.0970640i | ||||
\(413\) | −44.0727 | − | 60.6608i | −0.106713 | − | 0.146878i | ||||
\(414\) | −301.654 | + | 167.773i | −0.728633 | + | 0.405250i | ||||
\(415\) | 12.7804 | − | 39.3340i | 0.0307961 | − | 0.0947808i | ||||
\(416\) | −192.985 | + | 265.621i | −0.463905 | + | 0.638511i | ||||
\(417\) | −116.371 | − | 95.7892i | −0.279067 | − | 0.229710i | ||||
\(418\) | −150.518 | + | 248.456i | −0.360090 | + | 0.594392i | ||||
\(419\) | − | 573.195i | − | 1.36801i | −0.729478 | − | 0.684004i | \(-0.760237\pi\) | ||
0.729478 | − | 0.684004i | \(-0.239763\pi\) | |||||||
\(420\) | −6.61804 | + | 1.71659i | −0.0157572 | + | 0.00408711i | ||||
\(421\) | −172.827 | + | 531.908i | −0.410516 | + | 1.26344i | 0.505684 | + | 0.862719i | \(0.331240\pi\) |
−0.916200 | + | 0.400721i | \(0.868760\pi\) | |||||||
\(422\) | 286.349 | − | 93.0404i | 0.678552 | − | 0.220475i | ||||
\(423\) | −452.417 | + | 486.549i | −1.06954 | + | 1.15023i | ||||
\(424\) | 301.820 | − | 219.285i | 0.711839 | − | 0.517182i | ||||
\(425\) | 375.622 | − | 122.047i | 0.883816 | − | 0.287169i | ||||
\(426\) | −173.037 | + | 110.410i | −0.406190 | + | 0.259179i | ||||
\(427\) | 97.7334 | + | 71.0075i | 0.228884 | + | 0.166294i | ||||
\(428\) | 35.5229i | 0.0829973i | ||||||||
\(429\) | 187.000 | + | 533.007i | 0.435898 | + | 1.24244i | ||||
\(430\) | 26.2480 | 0.0610420 | ||||||||
\(431\) | 117.467 | − | 161.680i | 0.272546 | − | 0.375127i | −0.650701 | − | 0.759334i | \(-0.725525\pi\) |
0.923247 | + | 0.384207i | \(0.125525\pi\) | |||||||
\(432\) | −175.736 | − | 184.394i | −0.406796 | − | 0.426837i | ||||
\(433\) | −31.9791 | − | 98.4214i | −0.0738547 | − | 0.227301i | 0.907314 | − | 0.420453i | \(-0.138129\pi\) |
−0.981169 | + | 0.193152i | \(0.938129\pi\) | |||||||
\(434\) | −10.3310 | − | 14.2194i | −0.0238041 | − | 0.0327635i | ||||
\(435\) | 11.2238 | + | 0.678432i | 0.0258020 | + | 0.00155961i | ||||
\(436\) | −15.9417 | − | 49.0635i | −0.0365635 | − | 0.112531i | ||||
\(437\) | −350.338 | − | 113.832i | −0.801690 | − | 0.260485i | ||||
\(438\) | 273.369 | − | 70.9065i | 0.624131 | − | 0.161887i | ||||
\(439\) | −662.550 | −1.50923 | −0.754613 | − | 0.656171i | \(-0.772175\pi\) | ||||
−0.754613 | + | 0.656171i | \(0.772175\pi\) | |||||||
\(440\) | −50.6447 | + | 43.7030i | −0.115102 | + | 0.0993250i | ||||
\(441\) | −72.9890 | − | 372.652i | −0.165508 | − | 0.845016i | ||||
\(442\) | 369.977 | + | 268.804i | 0.837051 | + | 0.608153i | ||||
\(443\) | 200.511 | + | 65.1499i | 0.452620 | + | 0.147065i | 0.526451 | − | 0.850206i | \(-0.323522\pi\) |
−0.0738308 | + | 0.997271i | \(0.523522\pi\) | |||||||
\(444\) | −87.1929 | + | 221.817i | −0.196380 | + | 0.499587i | ||||
\(445\) | 21.5817 | − | 15.6801i | 0.0484983 | − | 0.0352361i | ||||
\(446\) | 183.266 | + | 252.244i | 0.410911 | + | 0.565570i | ||||
\(447\) | −439.473 | − | 172.750i | −0.983161 | − | 0.386466i | ||||
\(448\) | −56.0693 | + | 172.563i | −0.125155 | + | 0.385186i | ||||
\(449\) | −140.640 | + | 193.574i | −0.313229 | + | 0.431123i | −0.936385 | − | 0.350975i | \(-0.885850\pi\) |
0.623156 | + | 0.782098i | \(0.285850\pi\) | |||||||
\(450\) | 358.984 | − | 70.3118i | 0.797742 | − | 0.156248i | ||||
\(451\) | −61.9703 | − | 739.222i | −0.137406 | − | 1.63907i | ||||
\(452\) | 181.546i | 0.401651i | ||||||||
\(453\) | 129.087 | + | 497.675i | 0.284960 | + | 1.09862i | ||||
\(454\) | −219.936 | + | 676.892i | −0.484440 | + | 1.49095i | ||||
\(455\) | 29.6684 | − | 9.63983i | 0.0652052 | − | 0.0211864i | ||||
\(456\) | 25.0979 | − | 415.215i | 0.0550393 | − | 0.910559i | ||||
\(457\) | −21.5908 | + | 15.6866i | −0.0472446 | + | 0.0343252i | −0.611157 | − | 0.791509i | \(-0.709296\pi\) |
0.563912 | + | 0.825835i | \(0.309296\pi\) | |||||||
\(458\) | 214.118 | − | 69.5713i | 0.467507 | − | 0.151902i | ||||
\(459\) | 314.923 | − | 300.137i | 0.686108 | − | 0.653892i | ||||
\(460\) | −16.3447 | − | 11.8751i | −0.0355320 | − | 0.0258155i | ||||
\(461\) | − | 393.125i | − | 0.852766i | −0.904543 | − | 0.426383i | \(-0.859788\pi\) | ||
0.904543 | − | 0.426383i | \(-0.140212\pi\) | |||||||
\(462\) | 86.5814 | + | 113.519i | 0.187406 | + | 0.245712i | ||||
\(463\) | 106.954 | 0.231002 | 0.115501 | − | 0.993307i | \(-0.463153\pi\) | ||||
0.115501 | + | 0.993307i | \(0.463153\pi\) | |||||||
\(464\) | 29.7556 | − | 40.9550i | 0.0641283 | − | 0.0882651i | ||||
\(465\) | 4.57927 | + | 7.17670i | 0.00984790 | + | 0.0154338i | ||||
\(466\) | −167.498 | − | 515.506i | −0.359438 | − | 1.10624i | ||||
\(467\) | 248.580 | + | 342.141i | 0.532291 | + | 0.732636i | 0.987477 | − | 0.157760i | \(-0.0504274\pi\) |
−0.455186 | + | 0.890396i | \(0.650427\pi\) | |||||||
\(468\) | −141.078 | − | 131.181i | −0.301449 | − | 0.280302i | ||||
\(469\) | −62.3094 | − | 191.769i | −0.132856 | − | 0.408888i | ||||
\(470\) | 81.3168 | + | 26.4214i | 0.173014 | + | 0.0562158i | ||||
\(471\) | 49.2135 | + | 189.735i | 0.104487 | + | 0.402835i | ||||
\(472\) | 250.199 | 0.530083 | ||||||||
\(473\) | 96.5694 | + | 229.819i | 0.204164 | + | 0.485876i | ||||
\(474\) | −160.996 | + | 195.588i | −0.339654 | + | 0.412634i | ||||
\(475\) | 315.831 | + | 229.464i | 0.664906 | + | 0.483083i | ||||
\(476\) | −49.9976 | − | 16.2452i | −0.105037 | − | 0.0341286i | ||||
\(477\) | 187.454 | + | 337.039i | 0.392985 | + | 0.706580i | ||||
\(478\) | −125.365 | + | 91.0832i | −0.262270 | + | 0.190551i | ||||
\(479\) | −317.236 | − | 436.638i | −0.662289 | − | 0.911562i | 0.337266 | − | 0.941409i | \(-0.390498\pi\) |
−0.999554 | + | 0.0298475i | \(0.990498\pi\) | |||||||
\(480\) | 14.7046 | − | 37.4083i | 0.0306347 | − | 0.0779339i | ||||
\(481\) | 336.043 | − | 1034.24i | 0.698635 | − | 2.15018i | ||||
\(482\) | −201.523 | + | 277.373i | −0.418098 | + | 0.575462i | ||||
\(483\) | −115.057 | + | 139.779i | −0.238213 | + | 0.289397i | ||||
\(484\) | −135.513 | − | 67.3162i | −0.279985 | − | 0.139083i | ||||
\(485\) | − | 11.3803i | − | 0.0234645i | ||||||
\(486\) | 323.042 | − | 240.829i | 0.664696 | − | 0.495533i | ||||
\(487\) | 188.700 | − | 580.759i | 0.387474 | − | 1.19252i | −0.547195 | − | 0.837005i | \(-0.684304\pi\) |
0.934669 | − | 0.355518i | \(-0.115696\pi\) | |||||||
\(488\) | −383.378 | + | 124.567i | −0.785610 | + | 0.255260i | ||||
\(489\) | 46.2310 | + | 2.79446i | 0.0945418 | + | 0.00571464i | ||||
\(490\) | −39.5356 | + | 28.7243i | −0.0806849 | + | 0.0586210i | ||||
\(491\) | −54.0905 | + | 17.5751i | −0.110164 | + | 0.0357944i | −0.363580 | − | 0.931563i | \(-0.618446\pi\) |
0.253416 | + | 0.967357i | \(0.418446\pi\) | |||||||
\(492\) | 136.086 | + | 213.276i | 0.276598 | + | 0.433488i | ||||
\(493\) | 69.9465 | + | 50.8191i | 0.141879 | + | 0.103081i | ||||
\(494\) | 452.031i | 0.915043i | ||||||||
\(495\) | −38.5429 | − | 57.4145i | −0.0778645 | − | 0.115989i | ||||
\(496\) | 38.3274 | 0.0772729 | ||||||||
\(497\) | −63.2806 | + | 87.0983i | −0.127325 | + | 0.175248i | ||||
\(498\) | 248.297 | − | 158.432i | 0.498589 | − | 0.318137i | ||||
\(499\) | 144.891 | + | 445.930i | 0.290363 | + | 0.893646i | 0.984740 | + | 0.174034i | \(0.0556804\pi\) |
−0.694376 | + | 0.719612i | \(0.744320\pi\) | |||||||
\(500\) | 25.4205 | + | 34.9884i | 0.0508411 | + | 0.0699767i | ||||
\(501\) | −27.8937 | + | 461.469i | −0.0556761 | + | 0.921095i | ||||
\(502\) | −1.42974 | − | 4.40029i | −0.00284809 | − | 0.00876552i | ||||
\(503\) | 435.748 | + | 141.583i | 0.866297 | + | 0.281477i | 0.708256 | − | 0.705955i | \(-0.249482\pi\) |
0.158041 | + | 0.987433i | \(0.449482\pi\) | |||||||
\(504\) | −185.407 | − | 86.1346i | −0.367872 | − | 0.170902i | ||||
\(505\) | 72.7802 | 0.144119 | ||||||||
\(506\) | −96.3930 | + | 410.716i | −0.190500 | + | 0.811691i | ||||
\(507\) | 287.189 | + | 236.396i | 0.566448 | + | 0.466265i | ||||
\(508\) | 184.917 | + | 134.350i | 0.364009 | + | 0.264468i | ||||
\(509\) | 261.397 | + | 84.9330i | 0.513550 | + | 0.166862i | 0.554316 | − | 0.832306i | \(-0.312980\pi\) |
−0.0407663 | + | 0.999169i | \(0.512980\pi\) | |||||||
\(510\) | −52.1051 | − | 20.4818i | −0.102167 | − | 0.0401603i | ||||
\(511\) | 119.837 | − | 87.0667i | 0.234515 | − | 0.170385i | ||||
\(512\) | −299.479 | − | 412.197i | −0.584920 | − | 0.805073i | ||||
\(513\) | 422.978 | + | 77.4570i | 0.824518 | + | 0.150988i | ||||
\(514\) | −205.065 | + | 631.127i | −0.398960 | + | 1.22787i | ||||
\(515\) | −22.3377 | + | 30.7452i | −0.0433741 | + | 0.0596994i | ||||
\(516\) | −65.6404 | − | 54.0310i | −0.127210 | − | 0.104711i | ||||
\(517\) | 67.8358 | + | 809.191i | 0.131211 | + | 1.56517i | ||||
\(518\) | − | 274.856i | − | 0.530610i | ||||||
\(519\) | 72.8967 | − | 18.9079i | 0.140456 | − | 0.0364315i | ||||
\(520\) | −32.1666 | + | 98.9985i | −0.0618588 | + | 0.190382i | ||||
\(521\) | −236.239 | + | 76.7587i | −0.453434 | + | 0.147330i | −0.526825 | − | 0.849974i | \(-0.676618\pi\) |
0.0733915 | + | 0.997303i | \(0.476618\pi\) | |||||||
\(522\) | 58.6433 | + | 54.5293i | 0.112343 | + | 0.104462i | ||||
\(523\) | −113.737 | + | 82.6347i | −0.217470 | + | 0.158001i | −0.691187 | − | 0.722676i | \(-0.742912\pi\) |
0.473717 | + | 0.880677i | \(0.342912\pi\) | |||||||
\(524\) | 100.509 | − | 32.6574i | 0.191811 | − | 0.0623232i | ||||
\(525\) | 161.743 | − | 103.204i | 0.308082 | − | 0.196579i | ||||
\(526\) | −508.705 | − | 369.596i | −0.967119 | − | 0.702653i | ||||
\(527\) | 65.4587i | 0.124210i | ||||||||
\(528\) | −311.245 | + | 7.24210i | −0.589478 | + | 0.0137161i | ||||
\(529\) | −5.97152 | −0.0112883 | ||||||||
\(530\) | 29.1727 | − | 40.1527i | 0.0550428 | − | 0.0757599i | ||||
\(531\) | −31.1538 | + | 256.760i | −0.0586701 | + | 0.483540i | ||||
\(532\) | −16.0575 | − | 49.4198i | −0.0301832 | − | 0.0928943i | ||||
\(533\) | −678.497 | − | 933.871i | −1.27298 | − | 1.75210i | ||||
\(534\) | 189.634 | + | 11.4625i | 0.355120 | + | 0.0214654i | ||||
\(535\) | 6.13159 | + | 18.8711i | 0.0114609 | + | 0.0352731i | ||||
\(536\) | 639.901 | + | 207.916i | 1.19384 | + | 0.387904i | ||||
\(537\) | −179.476 | + | 46.5524i | −0.334219 | + | 0.0866898i | ||||
\(538\) | −51.7358 | −0.0961633 | ||||||||
\(539\) | −396.956 | − | 240.481i | −0.736468 | − | 0.446162i | ||||
\(540\) | 20.7501 | + | 11.2089i | 0.0384262 | + | 0.0207572i | ||||
\(541\) | −486.149 | − | 353.208i | −0.898612 | − | 0.652880i | 0.0394969 | − | 0.999220i | \(-0.487424\pi\) |
−0.938109 | + | 0.346340i | \(0.887424\pi\) | |||||||
\(542\) | −817.055 | − | 265.477i | −1.50748 | − | 0.489811i | ||||
\(543\) | 162.875 | − | 414.351i | 0.299955 | − | 0.763078i | ||||
\(544\) | 250.034 | − | 181.661i | 0.459622 | − | 0.333935i | ||||
\(545\) | −16.9376 | − | 23.3127i | −0.0310782 | − | 0.0427755i | ||||
\(546\) | 206.760 | + | 81.2743i | 0.378681 | + | 0.148854i | ||||
\(547\) | −191.860 | + | 590.485i | −0.350750 | + | 1.07950i | 0.607683 | + | 0.794180i | \(0.292099\pi\) |
−0.958433 | + | 0.285318i | \(0.907901\pi\) | |||||||
\(548\) | 150.220 | − | 206.760i | 0.274124 | − | 0.377299i | ||||
\(549\) | −80.0967 | − | 408.941i | −0.145896 | − | 0.744884i | ||||
\(550\) | 231.660 | − | 382.396i | 0.421201 | − | 0.695266i | ||||
\(551\) | 85.4594i | 0.155099i | ||||||||
\(552\) | −151.674 | − | 584.757i | −0.274772 | − | 1.05934i | ||||
\(553\) | −41.0590 | + | 126.367i | −0.0742478 | + | 0.228511i | ||||
\(554\) | 580.271 | − | 188.541i | 1.04742 | − | 0.340327i | ||||
\(555\) | −8.03247 | + | 132.888i | −0.0144729 | + | 0.239437i | ||||
\(556\) | 50.8282 | − | 36.9289i | 0.0914177 | − | 0.0664188i | ||||
\(557\) | −513.595 | + | 166.877i | −0.922074 | + | 0.299600i | −0.731317 | − | 0.682037i | \(-0.761094\pi\) |
−0.190757 | + | 0.981637i | \(0.561094\pi\) | |||||||
\(558\) | −7.30269 | + | 60.1865i | −0.0130873 | + | 0.107861i | ||||
\(559\) | 313.824 | + | 228.006i | 0.561402 | + | 0.407883i | ||||
\(560\) | 17.1936i | 0.0307028i | ||||||||
\(561\) | −12.3687 | − | 531.570i | −0.0220476 | − | 0.947540i | ||||
\(562\) | −531.261 | −0.945305 | ||||||||
\(563\) | −163.796 | + | 225.446i | −0.290934 | + | 0.400437i | −0.929317 | − | 0.369282i | \(-0.879604\pi\) |
0.638383 | + | 0.769719i | \(0.279604\pi\) | |||||||
\(564\) | −148.967 | − | 233.463i | −0.264126 | − | 0.413941i | ||||
\(565\) | 31.3366 | + | 96.4441i | 0.0554630 | + | 0.170698i | ||||
\(566\) | −156.717 | − | 215.703i | −0.276886 | − | 0.381101i | ||||
\(567\) | 111.479 | − | 179.544i | 0.196613 | − | 0.316656i | ||||
\(568\) | −111.012 | − | 341.659i | −0.195443 | − | 0.601513i | ||||
\(569\) | −1017.22 | − | 330.514i | −1.78773 | − | 0.580869i | −0.788321 | − | 0.615264i | \(-0.789050\pi\) |
−0.999408 | + | 0.0343952i | \(0.989050\pi\) | |||||||
\(570\) | −13.8941 | − | 53.5665i | −0.0243756 | − | 0.0939764i | ||||
\(571\) | 470.660 | 0.824274 | 0.412137 | − | 0.911122i | \(-0.364783\pi\) | ||||
0.412137 | + | 0.911122i | \(0.364783\pi\) | |||||||
\(572\) | −234.630 | + | 19.6695i | −0.410193 | + | 0.0343872i | ||||
\(573\) | −107.155 | + | 130.179i | −0.187007 | + | 0.227189i | ||||
\(574\) | −236.037 | − | 171.491i | −0.411214 | − | 0.298764i | ||||
\(575\) | 539.203 | + | 175.198i | 0.937744 | + | 0.304691i | ||||
\(576\) | 546.975 | − | 304.216i | 0.949609 | − | 0.528152i | ||||
\(577\) | −185.383 | + | 134.689i | −0.321288 | + | 0.233429i | −0.736725 | − | 0.676193i | \(-0.763629\pi\) |
0.415437 | + | 0.909622i | \(0.363629\pi\) | |||||||
\(578\) | 28.6406 | + | 39.4204i | 0.0495512 | + | 0.0682014i | ||||
\(579\) | −165.693 | + | 421.520i | −0.286171 | + | 0.728013i | ||||
\(580\) | −1.44837 | + | 4.45764i | −0.00249720 | + | 0.00768558i | ||||
\(581\) | 90.8039 | − | 124.981i | 0.156289 | − | 0.215113i | ||||
\(582\) | 51.5071 | − | 62.5741i | 0.0885001 | − | 0.107516i | ||||
\(583\) | 458.894 | + | 107.700i | 0.787125 | + | 0.184734i | ||||
\(584\) | 494.275i | 0.846361i | ||||||||
\(585\) | −97.5892 | − | 45.3370i | −0.166819 | − | 0.0774991i | ||||
\(586\) | 149.079 | − | 458.817i | 0.254400 | − | 0.782964i | ||||
\(587\) | −0.704580 | + | 0.228932i | −0.00120031 | + | 0.000390003i | −0.309617 | − | 0.950861i | \(-0.600201\pi\) |
0.308417 | + | 0.951251i | \(0.400201\pi\) | |||||||
\(588\) | 157.998 | + | 9.55027i | 0.268704 | + | 0.0162420i | ||||
\(589\) | −52.3452 | + | 38.0310i | −0.0888714 | + | 0.0645688i | ||||
\(590\) | 31.6562 | − | 10.2857i | 0.0536546 | − | 0.0174334i | ||||
\(591\) | 36.0459 | + | 56.4917i | 0.0609914 | + | 0.0955866i | ||||
\(592\) | 484.897 | + | 352.299i | 0.819083 | + | 0.595099i | ||||
\(593\) | − | 498.413i | − | 0.840494i | −0.907410 | − | 0.420247i | \(-0.861943\pi\) | ||
0.907410 | − | 0.420247i | \(-0.138057\pi\) | |||||||
\(594\) | 47.9304 | − | 490.135i | 0.0806910 | − | 0.825144i | ||||
\(595\) | −29.3647 | −0.0493524 | ||||||||
\(596\) | 115.695 | − | 159.241i | 0.194120 | − | 0.267183i | ||||
\(597\) | −381.706 | + | 243.557i | −0.639374 | + | 0.407968i | ||||
\(598\) | 202.862 | + | 624.344i | 0.339234 | + | 1.04405i | ||||
\(599\) | 112.504 | + | 154.848i | 0.187819 | + | 0.258511i | 0.892534 | − | 0.450979i | \(-0.148925\pi\) |
−0.704715 | + | 0.709490i | \(0.748925\pi\) | |||||||
\(600\) | −38.6280 | + | 639.054i | −0.0643800 | + | 1.06509i | ||||
\(601\) | 256.922 | + | 790.726i | 0.427491 | + | 1.31568i | 0.900588 | + | 0.434673i | \(0.143136\pi\) |
−0.473097 | + | 0.881010i | \(0.656864\pi\) | |||||||
\(602\) | 93.2454 | + | 30.2973i | 0.154893 | + | 0.0503277i | ||||
\(603\) | −293.046 | + | 630.791i | −0.485981 | + | 1.04609i | ||||
\(604\) | −214.314 | −0.354824 | ||||||||
\(605\) | −83.6088 | − | 12.3701i | −0.138196 | − | 0.0204465i | ||||
\(606\) | 400.178 | + | 329.402i | 0.660361 | + | 0.543567i | ||||
\(607\) | −638.876 | − | 464.171i | −1.05251 | − | 0.764697i | −0.0798256 | − | 0.996809i | \(-0.525436\pi\) |
−0.972689 | + | 0.232112i | \(0.925436\pi\) | |||||||
\(608\) | 290.536 | + | 94.4010i | 0.477856 | + | 0.155265i | ||||
\(609\) | 39.0893 | + | 15.3654i | 0.0641860 | + | 0.0252306i | ||||
\(610\) | −43.3856 | + | 31.5215i | −0.0711239 | + | 0.0516746i | ||||
\(611\) | 742.718 | + | 1022.26i | 1.21558 | + | 1.67310i | ||||
\(612\) | 88.1417 | + | 158.477i | 0.144022 | + | 0.258950i | ||||
\(613\) | −85.6583 | + | 263.629i | −0.139736 | + | 0.430064i | −0.996297 | − | 0.0859829i | \(-0.972597\pi\) |
0.856560 | + | 0.516047i | \(0.172597\pi\) | |||||||
\(614\) | 274.654 | − | 378.029i | 0.447319 | − | 0.615682i | ||||
\(615\) | 109.107 | + | 89.8104i | 0.177411 | + | 0.146033i | ||||
\(616\) | −230.359 | + | 96.7960i | −0.373959 | + | 0.157136i | ||||
\(617\) | 928.547i | 1.50494i | 0.658628 | + | 0.752469i | \(0.271137\pi\) | ||||
−0.658628 | + | 0.752469i | \(0.728863\pi\) | |||||||
\(618\) | −261.975 | + | 67.9510i | −0.423908 | + | 0.109953i | ||||
\(619\) | 295.319 | − | 908.900i | 0.477091 | − | 1.46834i | −0.366025 | − | 0.930605i | \(-0.619282\pi\) |
0.843117 | − | 0.537731i | \(-0.180718\pi\) | |||||||
\(620\) | −3.37493 | + | 1.09658i | −0.00544343 | + | 0.00176868i | ||||
\(621\) | 618.976 | − | 82.8397i | 0.996741 | − | 0.133397i | ||||
\(622\) | 635.529 | − | 461.739i | 1.02175 | − | 0.742346i | ||||
\(623\) | 94.7674 | − | 30.7918i | 0.152115 | − | 0.0494250i | ||||
\(624\) | −408.399 | + | 260.589i | −0.654485 | + | 0.417610i | ||||
\(625\) | −476.224 | − | 345.997i | −0.761958 | − | 0.553595i | ||||
\(626\) | 49.7019i | 0.0793961i | ||||||||
\(627\) | 417.893 | − | 318.729i | 0.666497 | − | 0.508340i | ||||
\(628\) | −81.7055 | −0.130104 | ||||||||
\(629\) | −601.686 | + | 828.149i | −0.956575 | + | 1.31661i | ||||
\(630\) | −26.9995 | − | 3.27598i | −0.0428564 | − | 0.00519996i | ||||
\(631\) | −1.62527 | − | 5.00208i | −0.00257571 | − | 0.00792722i | 0.949760 | − | 0.312978i | \(-0.101327\pi\) |
−0.952336 | + | 0.305051i | \(0.901327\pi\) | |||||||
\(632\) | −260.603 | − | 358.690i | −0.412347 | − | 0.567547i | ||||
\(633\) | −543.741 | − | 32.8668i | −0.858991 | − | 0.0519222i | ||||
\(634\) | −81.6132 | − | 251.180i | −0.128728 | − | 0.396183i | ||||
\(635\) | 121.425 | + | 39.4533i | 0.191220 | + | 0.0621311i | ||||
\(636\) | −155.608 | + | 40.3615i | −0.244666 | + | 0.0634615i | ||||
\(637\) | −722.207 | −1.13376 | ||||||||
\(638\) | 97.5309 | − | 8.17618i | 0.152870 | − | 0.0128153i | ||||
\(639\) | 364.441 | − | 71.3807i | 0.570330 | − | 0.111707i | ||||
\(640\) | −21.8058 | − | 15.8428i | −0.0340715 | − | 0.0247544i | ||||
\(641\) | 462.217 | + | 150.183i | 0.721087 | + | 0.234296i | 0.646495 | − | 0.762919i | \(-0.276234\pi\) |
0.0745928 | + | 0.997214i | \(0.476234\pi\) | |||||||
\(642\) | −51.6959 | + | 131.513i | −0.0805233 | + | 0.204849i | ||||
\(643\) | 597.765 | − | 434.302i | 0.929650 | − | 0.675430i | −0.0162570 | − | 0.999868i | \(-0.505175\pi\) |
0.945907 | + | 0.324437i | \(0.105175\pi\) | |||||||
\(644\) | −44.3570 | − | 61.0522i | −0.0688774 | − | 0.0948016i | ||||
\(645\) | −44.1969 | − | 17.3732i | −0.0685223 | − | 0.0269351i | ||||
\(646\) | 131.489 | − | 404.681i | 0.203543 | − | 0.626441i | ||||
\(647\) | 676.121 | − | 930.601i | 1.04501 | − | 1.43833i | 0.151953 | − | 0.988388i | \(-0.451444\pi\) |
0.893057 | − | 0.449945i | \(-0.148556\pi\) | |||||||
\(648\) | 266.040 | + | 653.093i | 0.410556 | + | 1.00786i | ||||
\(649\) | 206.525 | + | 239.329i | 0.318221 | + | 0.368766i | ||||
\(650\) | − | 695.717i | − | 1.07033i | ||||||
\(651\) | 7.98389 | + | 30.7807i | 0.0122640 | + | 0.0472822i | ||||
\(652\) | −5.96585 | + | 18.3610i | −0.00915007 | + | 0.0281610i | ||||
\(653\) | 575.439 | − | 186.971i | 0.881224 | − | 0.286327i | 0.166758 | − | 0.985998i | \(-0.446670\pi\) |
0.714465 | + | 0.699671i | \(0.246670\pi\) | |||||||
\(654\) | 12.3819 | − | 204.843i | 0.0189325 | − | 0.313216i | ||||
\(655\) | 47.7572 | − | 34.6976i | 0.0729117 | − | 0.0529735i | ||||
\(656\) | 605.083 | − | 196.603i | 0.922382 | − | 0.299700i | ||||
\(657\) | −507.236 | − | 61.5452i | −0.772049 | − | 0.0936761i | ||||
\(658\) | 258.378 | + | 187.723i | 0.392672 | + | 0.285293i | ||||
\(659\) | 956.314i | 1.45116i | 0.688138 | + | 0.725580i | \(0.258428\pi\) | ||||
−0.688138 | + | 0.725580i | \(0.741572\pi\) | |||||||
\(660\) | 27.1995 | − | 9.54269i | 0.0412114 | − | 0.0144586i | ||||
\(661\) | 57.8747 | 0.0875563 | 0.0437781 | − | 0.999041i | \(-0.486061\pi\) | ||||
0.0437781 | + | 0.999041i | \(0.486061\pi\) | |||||||
\(662\) | −324.272 | + | 446.323i | −0.489837 | + | 0.674203i | ||||
\(663\) | −445.056 | − | 697.498i | −0.671276 | − | 1.05203i | ||||
\(664\) | 159.295 | + | 490.261i | 0.239903 | + | 0.738345i | ||||
\(665\) | −17.0607 | − | 23.4820i | −0.0256551 | − | 0.0353113i | ||||
\(666\) | −645.614 | + | 694.322i | −0.969390 | + | 1.04253i | ||||
\(667\) | 38.3523 | + | 118.036i | 0.0574997 | + | 0.176966i | ||||
\(668\) | −183.276 | − | 59.5499i | −0.274365 | − | 0.0891466i | ||||
\(669\) | −141.630 | − | 546.034i | −0.211705 | − | 0.816195i | ||||
\(670\) | 89.5104 | 0.133598 | ||||||||
\(671\) | −435.612 | − | 263.899i | −0.649199 | − | 0.393293i | ||||
\(672\) | 95.4169 | − | 115.919i | 0.141989 | − | 0.172498i | ||||
\(673\) | −688.997 | − | 500.586i | −1.02377 | − | 0.743813i | −0.0567178 | − | 0.998390i | \(-0.518064\pi\) |
−0.967052 | + | 0.254578i | \(0.918064\pi\) | |||||||
\(674\) | −87.3744 | − | 28.3897i | −0.129636 | − | 0.0421212i | ||||
\(675\) | −651.001 | − | 119.213i | −0.964446 | − | 0.176612i | ||||
\(676\) | −125.438 | + | 91.1361i | −0.185559 | + | 0.134817i | ||||
\(677\) | −158.543 | − | 218.215i | −0.234184 | − | 0.322327i | 0.675710 | − | 0.737168i | \(-0.263837\pi\) |
−0.909894 | + | 0.414841i | \(0.863837\pi\) | |||||||
\(678\) | −264.202 | + | 672.122i | −0.389678 | + | 0.991331i | ||||
\(679\) | 13.1359 | − | 40.4282i | 0.0193460 | − | 0.0595408i | ||||
\(680\) | 57.5942 | − | 79.2717i | 0.0846974 | − | 0.116576i | ||||
\(681\) | 818.355 | − | 994.191i | 1.20170 | − | 1.45990i | ||||
\(682\) | 48.4111 | + | 56.1006i | 0.0709840 | + | 0.0822590i | ||||
\(683\) | − | 254.016i | − | 0.371913i | −0.982558 | − | 0.185956i | \(-0.940462\pi\) | ||
0.982558 | − | 0.185956i | \(-0.0595383\pi\) | |||||||
\(684\) | −75.5196 | + | 162.558i | −0.110409 | + | 0.237658i | ||||
\(685\) | 44.1137 | − | 135.768i | 0.0643996 | − | 0.198201i | ||||
\(686\) | −375.219 | + | 121.916i | −0.546966 | + | 0.177720i | ||||
\(687\) | −406.584 | − | 24.5762i | −0.591826 | − | 0.0357733i | ||||
\(688\) | −172.968 | + | 125.668i | −0.251407 | + | 0.182658i | ||||
\(689\) | 697.582 | − | 226.658i | 1.01246 | − | 0.328967i | ||||
\(690\) | −43.2299 | − | 67.7506i | −0.0626521 | − | 0.0981892i | ||||
\(691\) | 306.290 | + | 222.532i | 0.443256 | + | 0.322044i | 0.786927 | − | 0.617046i | \(-0.211671\pi\) |
−0.343672 | + | 0.939090i | \(0.611671\pi\) | |||||||
\(692\) | 31.3914i | 0.0453634i | ||||||||
\(693\) | −70.6509 | − | 248.452i | −0.101949 | − | 0.358516i | ||||
\(694\) | −229.724 | −0.331014 | ||||||||
\(695\) | 20.6276 | − | 28.3915i | 0.0296800 | − | 0.0408510i | ||||
\(696\) | −118.147 | + | 75.3869i | −0.169752 | + | 0.108315i | ||||
\(697\) | 335.776 | + | 1033.41i | 0.481745 | + | 1.48266i | ||||
\(698\) | 220.772 | + | 303.867i | 0.316293 | + | 0.435339i | ||||
\(699\) | −59.1691 | + | 978.882i | −0.0846482 | + | 1.40040i | ||||
\(700\) | 24.7139 | + | 76.0616i | 0.0353056 | + | 0.108659i | ||||
\(701\) | −304.289 | − | 98.8694i | −0.434078 | − | 0.141040i | 0.0838238 | − | 0.996481i | \(-0.473287\pi\) |
−0.517902 | + | 0.855440i | \(0.673287\pi\) | |||||||
\(702\) | −331.396 | − | 690.970i | −0.472073 | − | 0.984288i | ||||
\(703\) | −1011.82 | −1.43929 | ||||||||
\(704\) | 174.785 | − | 744.731i | 0.248274 | − | 1.05786i | ||||
\(705\) | −119.435 | − | 98.3111i | −0.169411 | − | 0.139448i | ||||
\(706\) | −347.361 | − | 252.373i | −0.492013 | − | 0.357468i | ||||
\(707\) | 258.549 | + | 84.0077i | 0.365699 | + | 0.118823i | ||||
\(708\) | −100.338 | − | 39.4414i | −0.141720 | − | 0.0557082i | ||||
\(709\) | 184.876 | − | 134.320i | 0.260755 | − | 0.189450i | −0.449725 | − | 0.893167i | \(-0.648478\pi\) |
0.710480 | + | 0.703717i | \(0.248478\pi\) | |||||||
\(710\) | −28.0914 | − | 38.6645i | −0.0395653 | − | 0.0544570i | ||||
\(711\) | 400.545 | − | 222.774i | 0.563354 | − | 0.313325i | ||||
\(712\) | −102.747 | + | 316.223i | −0.144308 | + | 0.444134i | ||||
\(713\) | −55.2316 | + | 76.0198i | −0.0774636 | + | 0.106620i | ||||
\(714\) | −161.460 | − | 132.904i | −0.226135 | − | 0.186140i | ||||
\(715\) | −121.249 | + | 50.9486i | −0.169579 | + | 0.0712568i | ||||
\(716\) | − | 77.2875i | − | 0.107943i | ||||||
\(717\) | 271.379 | − | 70.3902i | 0.378492 | − | 0.0981732i | ||||
\(718\) | 132.730 | − | 408.501i | 0.184861 | − | 0.568943i | ||||
\(719\) | 765.742 | − | 248.805i | 1.06501 | − | 0.346043i | 0.276467 | − | 0.961023i | \(-0.410836\pi\) |
0.788542 | + | 0.614981i | \(0.210836\pi\) | |||||||
\(720\) | 40.3862 | − | 43.4332i | 0.0560920 | − | 0.0603239i | ||||
\(721\) | −114.842 | + | 83.4376i | −0.159282 | + | 0.115725i | ||||
\(722\) | −169.294 | + | 55.0069i | −0.234479 | + | 0.0761868i | ||||
\(723\) | 522.917 | − | 333.660i | 0.723260 | − | 0.461494i | ||||
\(724\) | 150.138 | + | 109.082i | 0.207373 | + | 0.150665i | ||||
\(725\) | − | 131.530i | − | 0.181420i | ||||||
\(726\) | −403.732 | − | 446.429i | −0.556105 | − | 0.614915i | ||||
\(727\) | −1002.31 | −1.37869 | −0.689345 | − | 0.724434i | \(-0.742101\pi\) | ||||
−0.689345 | + | 0.724434i | \(0.742101\pi\) | |||||||
\(728\) | −228.541 | + | 314.560i | −0.313930 | + | 0.432088i | ||||
\(729\) | −703.345 | + | 191.696i | −0.964808 | + | 0.262957i | ||||
\(730\) | 20.3198 | + | 62.5378i | 0.0278353 | + | 0.0856682i | ||||
\(731\) | −214.627 | − | 295.409i | −0.293608 | − | 0.404117i | ||||
\(732\) | 173.384 | + | 10.4803i | 0.236863 | + | 0.0143173i | ||||
\(733\) | −223.915 | − | 689.141i | −0.305478 | − | 0.940165i | −0.979498 | − | 0.201452i | \(-0.935434\pi\) |
0.674020 | − | 0.738713i | \(-0.264566\pi\) | |||||||
\(734\) | 313.472 | + | 101.853i | 0.427074 | + | 0.138765i | ||||
\(735\) | 85.5829 | − | 22.1985i | 0.116439 | − | 0.0302020i | ||||
\(736\) | 443.653 | 0.602789 | ||||||||
\(737\) | 329.319 | + | 783.724i | 0.446837 | + | 1.06340i | ||||
\(738\) | 193.442 | + | 987.637i | 0.262117 | + | 1.33826i | ||||
\(739\) | 696.026 | + | 505.693i | 0.941849 | + | 0.684293i | 0.948865 | − | 0.315682i | \(-0.102233\pi\) |
−0.00701624 | + | 0.999975i | \(0.502233\pi\) | |||||||
\(740\) | −52.7774 | − | 17.1484i | −0.0713208 | − | 0.0231735i | ||||
\(741\) | 299.192 | − | 761.138i | 0.403768 | − | 1.02718i | ||||
\(742\) | 149.982 | − | 108.968i | 0.202132 | − | 0.146858i | ||||
\(743\) | −229.421 | − | 315.771i | −0.308776 | − | 0.424994i | 0.626223 | − | 0.779644i | \(-0.284600\pi\) |
−0.934999 | + | 0.354650i | \(0.884600\pi\) | |||||||
\(744\) | −98.7534 | − | 38.8185i | −0.132733 | − | 0.0521755i | ||||
\(745\) | 33.9752 | − | 104.565i | 0.0456043 | − | 0.140355i | ||||
\(746\) | −653.465 | + | 899.418i | −0.875959 | + | 1.20565i | ||||
\(747\) | −522.951 | + | 102.427i | −0.700069 | + | 0.137118i | ||||
\(748\) | 215.774 | + | 50.6412i | 0.288468 | + | 0.0677022i | ||||
\(749\) | 74.1164i | 0.0989538i | ||||||||
\(750\) | 43.1942 | + | 166.529i | 0.0575922 | + | 0.222038i | ||||
\(751\) | −266.909 | + | 821.461i | −0.355405 | + | 1.09382i | 0.600370 | + | 0.799722i | \(0.295020\pi\) |
−0.955774 | + | 0.294101i | \(0.904980\pi\) | |||||||
\(752\) | −662.355 | + | 215.212i | −0.880791 | + | 0.286186i | ||||
\(753\) | −0.505060 | + | 8.35561i | −0.000670730 | + | 0.0110964i | ||||
\(754\) | 123.212 | − | 89.5190i | 0.163412 | − | 0.118725i | ||||
\(755\) | −113.851 | + | 36.9926i | −0.150797 | + | 0.0489968i | ||||
\(756\) | 60.7761 | + | 63.7704i | 0.0803917 | + | 0.0843524i | ||||
\(757\) | 683.966 | + | 496.931i | 0.903522 | + | 0.656447i | 0.939368 | − | 0.342910i | \(-0.111413\pi\) |
−0.0358461 | + | 0.999357i | \(0.511413\pi\) | |||||||
\(758\) | − | 650.647i | − | 0.858373i | ||||||
\(759\) | 434.154 | − | 627.769i | 0.572008 | − | 0.827100i | ||||
\(760\) | 96.8528 | 0.127438 | ||||||||
\(761\) | 103.379 | − | 142.289i | 0.135847 | − | 0.186977i | −0.735674 | − | 0.677336i | \(-0.763134\pi\) |
0.871521 | + | 0.490359i | \(0.163134\pi\) | |||||||
\(762\) | 489.083 | + | 766.498i | 0.641842 | + | 1.00590i | ||||
\(763\) | −33.2614 | − | 102.368i | −0.0435929 | − | 0.134165i | ||||
\(764\) | −41.3108 | − | 56.8594i | −0.0540717 | − | 0.0744233i | ||||
\(765\) | 74.1789 | + | 68.9751i | 0.0969659 | + | 0.0901635i | ||||
\(766\) | 255.022 | + | 784.878i | 0.332927 | + | 1.02464i | ||||
\(767\) | 467.833 | + | 152.008i | 0.609951 | + | 0.198185i | ||||
\(768\) | 161.328 | + | 621.976i | 0.210062 | + | 0.809864i | ||||
\(769\) | 1341.04 | 1.74388 | 0.871941 | − | 0.489611i | \(-0.162861\pi\) | ||||
0.871941 | + | 0.489611i | \(0.162861\pi\) | |||||||
\(770\) | −25.1667 | + | 21.7171i | −0.0326840 | + | 0.0282041i | ||||
\(771\) | 763.025 | − | 926.972i | 0.989657 | − | 1.20230i | ||||
\(772\) | −152.736 | − | 110.969i | −0.197844 | − | 0.143742i | ||||
\(773\) | −746.230 | − | 242.465i | −0.965368 | − | 0.313667i | −0.216424 | − | 0.976300i | \(-0.569439\pi\) |
−0.748945 | + | 0.662632i | \(0.769439\pi\) | |||||||
\(774\) | −164.384 | − | 295.560i | −0.212383 | − | 0.381861i | ||||
\(775\) | 80.5641 | − | 58.5332i | 0.103954 | − | 0.0755268i | ||||
\(776\) | 83.3742 | + | 114.755i | 0.107441 | + | 0.147880i | ||||
\(777\) | −181.923 | + | 462.808i | −0.234135 | + | 0.595634i | ||||
\(778\) | 211.252 | − | 650.167i | 0.271532 | − | 0.835690i | ||||
\(779\) | −631.303 | + | 868.914i | −0.810402 | + | 1.11542i | ||||
\(780\) | 28.5060 | − | 34.6309i | 0.0365461 | − | 0.0443986i | ||||
\(781\) | 235.182 | − | 388.210i | 0.301130 | − | 0.497068i | ||||
\(782\) | − | 617.954i | − | 0.790222i | ||||||
\(783\) | −62.6525 | − | 130.632i | −0.0800159 | − | 0.166836i | ||||
\(784\) | 123.005 | − | 378.571i | 0.156894 | − | 0.482871i | ||||
\(785\) | −43.4051 | + | 14.1032i | −0.0552931 | + | 0.0179658i | ||||
\(786\) | 419.632 | + | 25.3649i | 0.533883 | + | 0.0322708i | ||||
\(787\) | 1171.82 | − | 851.375i | 1.48897 | − | 1.08180i | 0.514442 | − | 0.857525i | \(-0.327999\pi\) |
0.974526 | − | 0.224273i | \(-0.0720007\pi\) | |||||||
\(788\) | −26.5659 | + | 8.63178i | −0.0337130 | + | 0.0109540i | ||||
\(789\) | 611.936 | + | 959.035i | 0.775585 | + | 1.21551i | ||||
\(790\) | −47.7184 | − | 34.6695i | −0.0604031 | − | 0.0438854i | ||||
\(791\) | 378.785i | 0.478869i | ||||||||
\(792\) | 809.281 | + | 296.574i | 1.02182 | + | 0.374462i | ||||
\(793\) | −792.536 | −0.999415 | ||||||||
\(794\) | −166.888 | + | 229.702i | −0.210186 | + | 0.289297i | ||||
\(795\) | −75.6979 | + | 48.3009i | −0.0952175 | + | 0.0607559i | ||||
\(796\) | −58.3237 | − | 179.502i | −0.0732709 | − | 0.225505i | ||||
\(797\) | 203.605 | + | 280.238i | 0.255464 | + | 0.351616i | 0.917416 | − | 0.397931i | \(-0.130272\pi\) |
−0.661951 | + | 0.749547i | \(0.730272\pi\) | |||||||
\(798\) | 12.4718 | − | 206.331i | 0.0156288 | − | 0.258560i | ||||
\(799\) | −367.558 | − | 1131.23i | −0.460022 | − | 1.41580i | ||||
\(800\) | −447.162 | − | 145.292i | −0.558952 | − | 0.181615i | ||||
\(801\) | −311.722 | − | 144.816i | −0.389166 | − | 0.180795i | ||||
\(802\) | −1203.85 | −1.50107 | ||||||||
\(803\) | −472.802 | + | 407.996i | −0.588794 | + | 0.508090i | ||||
\(804\) | −223.845 | − | 184.255i | −0.278414 | − | 0.229173i | ||||
\(805\) | −34.1023 | − | 24.7768i | −0.0423631 | − | 0.0307786i | ||||
\(806\) | 109.664 | + | 35.6318i | 0.136059 | + | 0.0442082i | ||||
\(807\) | 87.1137 | + | 34.2431i | 0.107948 | + | 0.0424326i | ||||
\(808\) | −733.888 | + | 533.201i | −0.908277 | + | 0.659902i | ||||
\(809\) | −307.526 | − | 423.274i | −0.380131 | − | 0.523206i | 0.575488 | − | 0.817810i | \(-0.304812\pi\) |
−0.955619 | + | 0.294604i | \(0.904812\pi\) | |||||||
\(810\) | 60.5093 | + | 71.6951i | 0.0747028 | + | 0.0885125i | ||||
\(811\) | −319.359 | + | 982.886i | −0.393784 | + | 1.21194i | 0.536120 | + | 0.844142i | \(0.319889\pi\) |
−0.929904 | + | 0.367802i | \(0.880111\pi\) | |||||||
\(812\) | −10.2906 | + | 14.1638i | −0.0126732 | + | 0.0174431i | ||||
\(813\) | 1200.06 | + | 987.811i | 1.47608 | + | 1.21502i | ||||
\(814\) | 96.8040 | + | 1154.74i | 0.118924 | + | 1.41860i | ||||
\(815\) | 10.7838i | 0.0132317i | ||||||||
\(816\) | 441.420 | − | 114.495i | 0.540956 | − | 0.140313i | ||||
\(817\) | 111.532 | − | 343.261i | 0.136514 | − | 0.420148i | ||||
\(818\) | 475.294 | − | 154.432i | 0.581044 | − | 0.188793i | ||||
\(819\) | −294.352 | − | 273.702i | −0.359404 | − | 0.334191i | ||||
\(820\) | −47.6558 | + | 34.6239i | −0.0581168 | + | 0.0422243i | ||||
\(821\) | −92.9928 | + | 30.2152i | −0.113268 | + | 0.0368029i | −0.365102 | − | 0.930967i | \(-0.618966\pi\) |
0.251835 | + | 0.967770i | \(0.418966\pi\) | |||||||
\(822\) | 857.041 | − | 546.856i | 1.04263 | − | 0.665275i | ||||
\(823\) | −583.839 | − | 424.184i | −0.709404 | − | 0.515412i | 0.173578 | − | 0.984820i | \(-0.444467\pi\) |
−0.882981 | + | 0.469408i | \(0.844467\pi\) | |||||||
\(824\) | − | 473.673i | − | 0.574846i | ||||||
\(825\) | −643.176 | + | 490.553i | −0.779607 | + | 0.594610i | ||||
\(826\) | 124.330 | 0.150521 | ||||||||
\(827\) | 722.545 | − | 994.498i | 0.873694 | − | 1.20254i | −0.104433 | − | 0.994532i | \(-0.533303\pi\) |
0.978128 | − | 0.208005i | \(-0.0666971\pi\) | |||||||
\(828\) | −31.3548 | + | 258.417i | −0.0378682 | + | 0.312097i | ||||
\(829\) | −59.7651 | − | 183.938i | −0.0720930 | − | 0.221879i | 0.908517 | − | 0.417847i | \(-0.137215\pi\) |
−0.980610 | + | 0.195968i | \(0.937215\pi\) | |||||||
\(830\) | 40.3095 | + | 55.4812i | 0.0485656 | + | 0.0668448i | ||||
\(831\) | −1101.86 | − | 66.6027i | −1.32595 | − | 0.0801477i | ||||
\(832\) | −367.840 | − | 1132.09i | −0.442115 | − | 1.36069i | ||||
\(833\) | 646.556 | + | 210.079i | 0.776178 | + | 0.252195i | ||||
\(834\) | 241.919 | − | 62.7490i | 0.290071 | − | 0.0752386i | ||||
\(835\) | −107.642 | −0.128912 | ||||||||
\(836\) | 84.8672 | + | 201.970i | 0.101516 | + | 0.241591i | ||||
\(837\) | 52.1329 | − | 96.5094i | 0.0622854 | − | 0.115304i | ||||
\(838\) | 768.930 | + | 558.660i | 0.917577 | + | 0.666659i | ||||
\(839\) | −554.741 | − | 180.246i | −0.661193 | − | 0.214835i | −0.0408501 | − | 0.999165i | \(-0.513007\pi\) |
−0.620343 | + | 0.784331i | \(0.713007\pi\) | |||||||
\(840\) | 17.4139 | − | 44.3006i | 0.0207309 | − | 0.0527388i | ||||
\(841\) | −657.089 | + | 477.403i | −0.781319 | + | 0.567661i | ||||
\(842\) | −545.099 | − | 750.264i | −0.647386 | − | 0.891050i | ||||
\(843\) | 894.547 | + | 351.633i | 1.06115 | + | 0.417121i | ||||
\(844\) | 70.1668 | − | 215.951i | 0.0831360 | − | 0.255866i | ||||
\(845\) | −50.9064 | + | 70.0667i | −0.0602443 | + | 0.0829192i | ||||
\(846\) | −211.752 | − | 1081.12i | −0.250297 | − | 1.27792i | ||||
\(847\) | −282.739 | − | 140.451i | −0.333812 | − | 0.165822i | ||||
\(848\) | 404.267i | 0.476730i | ||||||||
\(849\) | 121.113 | + | 466.933i | 0.142654 | + | 0.549980i | ||||
\(850\) | −202.373 | + | 622.841i | −0.238086 | + | 0.732754i | ||||
\(851\) | −1397.52 | + | 454.082i | −1.64221 | + | 0.533587i | ||||
\(852\) | −9.33984 | + | 154.516i | −0.0109623 | + | 0.181357i | ||||
\(853\) | 348.868 | − | 253.468i | 0.408990 | − | 0.297148i | −0.364203 | − | 0.931320i | \(-0.618659\pi\) |
0.773193 | + | 0.634171i | \(0.218659\pi\) | |||||||
\(854\) | −190.510 | + | 61.9005i | −0.223080 | + | 0.0724830i | ||||
\(855\) | −12.0597 | + | 99.3925i | −0.0141050 | + | 0.116249i | ||||
\(856\) | −200.082 | − | 145.368i | −0.233740 | − | 0.169822i | ||||
\(857\) | 580.461i | 0.677317i | 0.940909 | + | 0.338659i | \(0.109973\pi\) | ||||
−0.940909 | + | 0.338659i | \(0.890027\pi\) | |||||||
\(858\) | −897.276 | − | 268.634i | −1.04578 | − | 0.313093i | ||||
\(859\) | −812.241 | −0.945566 | −0.472783 | − | 0.881179i | \(-0.656751\pi\) | ||||
−0.472783 | + | 0.881179i | \(0.656751\pi\) | |||||||
\(860\) | 11.6352 | − | 16.0145i | 0.0135294 | − | 0.0186216i | ||||
\(861\) | 283.936 | + | 444.988i | 0.329774 | + | 0.516827i | ||||
\(862\) | 102.402 | + | 315.160i | 0.118795 | + | 0.365614i | ||||
\(863\) | −369.257 | − | 508.239i | −0.427876 | − | 0.588921i | 0.539588 | − | 0.841929i | \(-0.318580\pi\) |
−0.967464 | + | 0.253008i | \(0.918580\pi\) | |||||||
\(864\) | −513.318 | + | 68.6991i | −0.594118 | + | 0.0795129i | ||||
\(865\) | 5.41846 | + | 16.6763i | 0.00626412 | + | 0.0192790i | ||||
\(866\) | 163.198 | + | 53.0264i | 0.188451 | + | 0.0612314i | ||||
\(867\) | −22.1338 | − | 85.3335i | −0.0255292 | − | 0.0984239i | ||||
\(868\) | −13.2551 | −0.0152708 | ||||||||
\(869\) | 127.993 | − | 545.360i | 0.147288 | − | 0.627572i | ||||
\(870\) | −11.8493 | + | 14.3953i | −0.0136199 | + | 0.0165464i | ||||
\(871\) | 1070.19 | + | 777.542i | 1.22870 | + | 0.892700i | ||||
\(872\) | 341.586 | + | 110.988i | 0.391727 | + | 0.127280i | ||||
\(873\) | −128.145 | + | 71.2716i | −0.146787 | + | 0.0816399i | ||||
\(874\) | 494.158 | − | 359.026i | 0.565398 | − | 0.410785i | ||||
\(875\) | 53.0385 | + | 73.0012i | 0.0606154 | + | 0.0834299i | ||||
\(876\) | 77.9176 | − | 198.220i | 0.0889470 | − | 0.226279i | ||||
\(877\) | 371.068 | − | 1142.03i | 0.423111 | − | 1.30220i | −0.481680 | − | 0.876347i | \(-0.659973\pi\) |
0.904791 | − | 0.425855i | \(-0.140027\pi\) | |||||||
\(878\) | 645.749 | − | 888.797i | 0.735477 | − | 1.01230i | ||||
\(879\) | −554.704 | + | 673.891i | −0.631063 | + | 0.766656i | ||||
\(880\) | −6.05556 | − | 72.2347i | −0.00688132 | − | 0.0820849i | ||||
\(881\) | − | 131.219i | − | 0.148943i | −0.997223 | − | 0.0744714i | \(-0.976273\pi\) | ||
0.997223 | − | 0.0744714i | \(-0.0237269\pi\) | |||||||
\(882\) | 571.043 | + | 265.289i | 0.647441 | + | 0.300781i | ||||
\(883\) | −39.2451 | + | 120.784i | −0.0444452 | + | 0.136788i | −0.970817 | − | 0.239823i | \(-0.922911\pi\) |
0.926371 | + | 0.376611i | \(0.122911\pi\) | |||||||
\(884\) | 328.007 | − | 106.576i | 0.371048 | − | 0.120561i | ||||
\(885\) | −60.1113 | − | 3.63346i | −0.0679223 | − | 0.00410561i | ||||
\(886\) | −282.823 | + | 205.483i | −0.319214 | + | 0.231922i | ||||
\(887\) | −1136.31 | + | 369.209i | −1.28107 | + | 0.416245i | −0.868957 | − | 0.494888i | \(-0.835209\pi\) |
−0.412113 | + | 0.911133i | \(0.635209\pi\) | |||||||
\(888\) | −892.563 | − | 1398.84i | −1.00514 | − | 1.57527i | ||||
\(889\) | 385.818 | + | 280.313i | 0.433991 | + | 0.315313i | ||||
\(890\) | 44.2339i | 0.0497010i | ||||||||
\(891\) | −405.119 | + | 793.574i | −0.454679 | + | 0.890655i | ||||
\(892\) | 235.138 | 0.263608 | ||||||||
\(893\) | 691.057 | − | 951.158i | 0.773860 | − | 1.06513i | ||||
\(894\) | 660.070 | − | 421.174i | 0.738333 | − | 0.471112i | ||||
\(895\) | −13.3406 | − | 41.0580i | −0.0149057 | − | 0.0458749i | ||||
\(896\) | −59.1774 | − | 81.4507i | −0.0660462 | − | 0.0909048i | ||||
\(897\) | 71.6614 | − | 1185.55i | 0.0798901 | − | 1.32169i | ||||
\(898\) | −122.602 | − | 377.331i | −0.136528 | − | 0.420190i | ||||
\(899\) | 20.7326 | + | 6.73643i | 0.0230618 | + | 0.00749325i | ||||
\(900\) | 116.232 | − | 250.192i | 0.129146 | − | 0.277991i | ||||
\(901\) | −690.442 | −0.766306 | ||||||||
\(902\) | 1052.05 | + | 637.345i | 1.16635 | + | 0.706591i | ||||
\(903\) | −136.955 | − | 112.733i | −0.151667 | − | 0.124842i | ||||
\(904\) | −1022.55 | − | 742.929i | −1.13114 | − | 0.821824i | ||||
\(905\) | 98.5876 | + | 32.0331i | 0.108937 | + | 0.0353956i | ||||
\(906\) | −793.435 | − | 311.888i | −0.875756 | − | 0.344247i | ||||
\(907\) | −424.397 | + | 308.342i | −0.467913 | + | 0.339958i | −0.796627 | − | 0.604471i | \(-0.793385\pi\) |
0.328715 | + | 0.944429i | \(0.393385\pi\) | |||||||
\(908\) | 315.494 | + | 434.241i | 0.347461 | + | 0.478239i | ||||
\(909\) | −455.802 | − | 819.524i | −0.501432 | − | 0.901567i | ||||
\(910\) | −15.9844 | + | 49.1949i | −0.0175653 | + | 0.0540603i | ||||
\(911\) | −103.220 | + | 142.070i | −0.113304 | + | 0.155950i | −0.861903 | − | 0.507074i | \(-0.830727\pi\) |
0.748598 | + | 0.663024i | \(0.230727\pi\) | |||||||
\(912\) | 348.020 | + | 286.468i | 0.381601 | + | 0.314110i | ||||
\(913\) | −337.473 | + | 557.058i | −0.369631 | + | 0.610140i | ||||
\(914\) | − | 44.2524i | − | 0.0484162i | ||||||
\(915\) | 93.9170 | − | 24.3602i | 0.102642 | − | 0.0266231i | ||||
\(916\) | 52.4674 | − | 161.478i | 0.0572788 | − | 0.176286i | ||||
\(917\) | 209.706 | − | 68.1377i | 0.228687 | − | 0.0743050i | ||||
\(918\) | 95.6894 | + | 714.989i | 0.104237 | + | 0.778855i | ||||
\(919\) | 1055.86 | − | 767.124i | 1.14892 | − | 0.834738i | 0.160581 | − | 0.987023i | \(-0.448663\pi\) |
0.988337 | + | 0.152285i | \(0.0486631\pi\) | |||||||
\(920\) | 133.773 | − | 43.4654i | 0.145405 | − | 0.0472450i | ||||
\(921\) | −712.678 | + | 454.742i | −0.773809 | + | 0.493748i | ||||
\(922\) | 527.369 | + | 383.156i | 0.571984 | + | 0.415571i | ||||
\(923\) | − | 706.294i | − | 0.765216i | ||||||
\(924\) | 107.640 | − | 2.50460i | 0.116494 | − | 0.00271060i | ||||
\(925\) | 1557.28 | 1.68355 | ||||||||
\(926\) | −104.242 | + | 143.476i | −0.112572 | + | 0.154942i | ||||
\(927\) | 486.093 | + | 58.9799i | 0.524373 | + | 0.0636245i | ||||
\(928\) | −31.8056 | − | 97.8877i | −0.0342733 | − | 0.105482i | ||||
\(929\) | 916.652 | + | 1261.66i | 0.986708 | + | 1.35809i | 0.933136 | + | 0.359524i | \(0.117061\pi\) |
0.0535724 | + | 0.998564i | \(0.482939\pi\) | |||||||
\(930\) | −14.0905 | − | 0.851711i | −0.0151511 | − | 0.000915818i | ||||
\(931\) | 207.651 | + | 639.084i | 0.223041 | + | 0.686449i | ||||
\(932\) | −388.770 | − | 126.319i | −0.417136 | − | 0.135536i | ||||
\(933\) | −1375.73 | + | 356.837i | −1.47453 | + | 0.382462i | ||||
\(934\) | −701.251 | −0.750804 | ||||||||
\(935\) | 123.369 | − | 10.3422i | 0.131945 | − | 0.0110612i | ||||
\(936\) | 1316.20 | − | 257.795i | 1.40620 | − | 0.275422i | ||||
\(937\) | 581.968 | + | 422.824i | 0.621097 | + | 0.451253i | 0.853305 | − | 0.521413i | \(-0.174595\pi\) |
−0.232208 | + | 0.972666i | \(0.574595\pi\) | |||||||
\(938\) | 317.983 | + | 103.319i | 0.339001 | + | 0.110148i | ||||
\(939\) | 32.8969 | − | 83.6890i | 0.0350340 | − | 0.0891256i | ||||
\(940\) | 52.1664 | − | 37.9011i | 0.0554962 | − | 0.0403204i | ||||
\(941\) | 689.641 | + | 949.209i | 0.732881 | + | 1.00872i | 0.998997 | + | 0.0447831i | \(0.0142597\pi\) |
−0.266116 | + | 0.963941i | \(0.585740\pi\) | |||||||
\(942\) | −302.491 | − | 118.905i | −0.321116 | − | 0.126226i | ||||
\(943\) | −482.004 | + | 1483.46i | −0.511139 | + | 1.57312i | ||||
\(944\) | −159.361 | + | 219.342i | −0.168815 | + | 0.232353i | ||||
\(945\) | 43.2940 | + | 23.3867i | 0.0458137 | + | 0.0247478i | ||||
\(946\) | −402.419 | − | 94.4457i | −0.425390 | − | 0.0998369i | ||||
\(947\) | 266.119i | 0.281013i | 0.990080 | + | 0.140506i | \(0.0448730\pi\) | ||||
−0.990080 | + | 0.140506i | \(0.955127\pi\) | |||||||
\(948\) | 47.9666 | + | 184.928i | 0.0505976 | + | 0.195072i | ||||
\(949\) | −300.296 | + | 924.216i | −0.316434 | + | 0.973884i | ||||
\(950\) | −615.643 | + | 200.035i | −0.648046 | + | 0.210563i | ||||
\(951\) | −28.8301 | + | 476.959i | −0.0303155 | + | 0.501534i | ||||
\(952\) | 296.102 | − | 215.131i | 0.311032 | − | 0.225978i | ||||
\(953\) | −121.881 | + | 39.6016i | −0.127892 | + | 0.0415547i | −0.372264 | − | 0.928127i | \(-0.621418\pi\) |
0.244372 | + | 0.969682i | \(0.421418\pi\) | |||||||
\(954\) | −634.831 | − | 77.0269i | −0.665441 | − | 0.0807410i | ||||
\(955\) | −31.7603 | − | 23.0752i | −0.0332569 | − | 0.0241625i | ||||
\(956\) | 116.864i | 0.122242i | ||||||||
\(957\) | −169.636 | − | 50.7870i | −0.177258 | − | 0.0530689i | ||||
\(958\) | 894.933 | 0.934168 | ||||||||
\(959\) | 313.425 | − | 431.393i | 0.326825 | − | 0.449836i | ||||
\(960\) | 78.3868 | + | 122.849i | 0.0816529 | + | 0.127968i | ||||
\(961\) | −291.865 | − | 898.268i | −0.303710 | − | 0.934723i | ||||
\(962\) | 1059.88 | + | 1458.80i | 1.10175 | + | 1.51643i | ||||
\(963\) | 174.093 | − | 187.228i | 0.180782 | − | 0.194421i | ||||
\(964\) | 79.9003 | + | 245.908i | 0.0828841 | + | 0.255091i | ||||
\(965\) | −100.293 | − | 32.5872i | −0.103931 | − | 0.0337692i | ||||
\(966\) | −75.3708 | − | 290.581i | −0.0780236 | − | 0.300808i | ||||
\(967\) | 1324.17 | 1.36936 | 0.684682 | − | 0.728842i | \(-0.259941\pi\) | ||||
0.684682 | + | 0.728842i | \(0.259941\pi\) | |||||||
\(968\) | 933.705 | − | 487.797i | 0.964572 | − | 0.503923i | ||||
\(969\) | −489.255 | + | 594.379i | −0.504907 | + | 0.613394i | ||||
\(970\) | 15.2664 | + | 11.0917i | 0.0157386 | + | 0.0114348i | ||||
\(971\) | −556.252 | − | 180.737i | −0.572865 | − | 0.186135i | 0.00823681 | − | 0.999966i | \(-0.497378\pi\) |
−0.581102 | + | 0.813831i | \(0.697378\pi\) | |||||||
\(972\) | −3.73711 | − | 303.850i | −0.00384477 | − | 0.312603i | ||||
\(973\) | 106.050 | − | 77.0500i | 0.108993 | − | 0.0791881i | ||||
\(974\) | 595.161 | + | 819.169i | 0.611048 | + | 0.841036i | ||||
\(975\) | −460.484 | + | 1171.46i | −0.472292 | + | 1.20150i | ||||
\(976\) | 134.984 | − | 415.437i | 0.138303 | − | 0.425652i | ||||
\(977\) | 406.363 | − | 559.311i | 0.415930 | − | 0.572478i | −0.548722 | − | 0.836005i | \(-0.684886\pi\) |
0.964652 | + | 0.263526i | \(0.0848856\pi\) | |||||||
\(978\) | −48.8073 | + | 59.2943i | −0.0499052 | + | 0.0606281i | ||||
\(979\) | −387.298 | + | 162.741i | −0.395605 | + | 0.166232i | ||||
\(980\) | 36.8545i | 0.0376066i | ||||||||
\(981\) | −156.431 | + | 336.723i | −0.159461 | + | 0.343245i | ||||
\(982\) | 29.1423 | − | 89.6907i | 0.0296764 | − | 0.0913347i | ||||
\(983\) | 623.407 | − | 202.557i | 0.634188 | − | 0.206060i | 0.0257588 | − | 0.999668i | \(-0.491800\pi\) |
0.608430 | + | 0.793608i | \(0.291800\pi\) | |||||||
\(984\) | −1758.17 | − | 106.273i | −1.78675 | − | 0.108001i | ||||
\(985\) | −12.6229 | + | 9.17105i | −0.0128151 | + | 0.00931071i | ||||
\(986\) | −136.346 | + | 44.3013i | −0.138281 | + | 0.0449304i | ||||
\(987\) | −310.811 | − | 487.107i | −0.314904 | − | 0.493523i | ||||
\(988\) | 275.795 | + | 200.377i | 0.279144 | + | 0.202810i | ||||
\(989\) | − | 524.164i | − | 0.529994i | ||||||
\(990\) | 114.586 | + | 4.25402i | 0.115743 | + | 0.00429699i | ||||
\(991\) | 95.0559 | 0.0959192 | 0.0479596 | − | 0.998849i | \(-0.484728\pi\) | ||||
0.0479596 | + | 0.998849i | \(0.484728\pi\) | |||||||
\(992\) | 45.8036 | − | 63.0433i | 0.0461730 | − | 0.0635517i | ||||
\(993\) | 841.429 | − | 536.895i | 0.847361 | − | 0.540680i | ||||
\(994\) | −55.1646 | − | 169.779i | −0.0554976 | − | 0.170804i | ||||
\(995\) | −61.9675 | − | 85.2909i | −0.0622789 | − | 0.0857195i | ||||
\(996\) | 13.4021 | − | 221.722i | 0.0134559 | − | 0.222612i | ||||
\(997\) | −241.467 | − | 743.158i | −0.242193 | − | 0.745394i | −0.996085 | − | 0.0883960i | \(-0.971826\pi\) |
0.753892 | − | 0.656998i | \(-0.228174\pi\) | |||||||
\(998\) | −739.422 | − | 240.253i | −0.740904 | − | 0.240734i | ||||
\(999\) | 1546.66 | − | 741.790i | 1.54820 | − | 0.742532i |
(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 | 33.3.h.b.26.2 | yes | 16 | |
3.2 | odd | 2 | inner | 33.3.h.b.26.3 | yes | 16 | |
11.2 | odd | 10 | 363.3.h.n.269.2 | 16 | |||
11.3 | even | 5 | inner | 33.3.h.b.14.3 | yes | 16 | |
11.4 | even | 5 | 363.3.h.o.251.2 | 16 | |||
11.5 | even | 5 | 363.3.b.m.122.4 | 8 | |||
11.6 | odd | 10 | 363.3.b.l.122.5 | 8 | |||
11.7 | odd | 10 | 363.3.h.n.251.3 | 16 | |||
11.8 | odd | 10 | 363.3.h.j.245.2 | 16 | |||
11.9 | even | 5 | 363.3.h.o.269.3 | 16 | |||
11.10 | odd | 2 | 363.3.h.j.323.3 | 16 | |||
33.2 | even | 10 | 363.3.h.n.269.3 | 16 | |||
33.5 | odd | 10 | 363.3.b.m.122.5 | 8 | |||
33.8 | even | 10 | 363.3.h.j.245.3 | 16 | |||
33.14 | odd | 10 | inner | 33.3.h.b.14.2 | ✓ | 16 | |
33.17 | even | 10 | 363.3.b.l.122.4 | 8 | |||
33.20 | odd | 10 | 363.3.h.o.269.2 | 16 | |||
33.26 | odd | 10 | 363.3.h.o.251.3 | 16 | |||
33.29 | even | 10 | 363.3.h.n.251.2 | 16 | |||
33.32 | even | 2 | 363.3.h.j.323.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.3.h.b.14.2 | ✓ | 16 | 33.14 | odd | 10 | inner | |
33.3.h.b.14.3 | yes | 16 | 11.3 | even | 5 | inner | |
33.3.h.b.26.2 | yes | 16 | 1.1 | even | 1 | trivial | |
33.3.h.b.26.3 | yes | 16 | 3.2 | odd | 2 | inner | |
363.3.b.l.122.4 | 8 | 33.17 | even | 10 | |||
363.3.b.l.122.5 | 8 | 11.6 | odd | 10 | |||
363.3.b.m.122.4 | 8 | 11.5 | even | 5 | |||
363.3.b.m.122.5 | 8 | 33.5 | odd | 10 | |||
363.3.h.j.245.2 | 16 | 11.8 | odd | 10 | |||
363.3.h.j.245.3 | 16 | 33.8 | even | 10 | |||
363.3.h.j.323.2 | 16 | 33.32 | even | 2 | |||
363.3.h.j.323.3 | 16 | 11.10 | odd | 2 | |||
363.3.h.n.251.2 | 16 | 33.29 | even | 10 | |||
363.3.h.n.251.3 | 16 | 11.7 | odd | 10 | |||
363.3.h.n.269.2 | 16 | 11.2 | odd | 10 | |||
363.3.h.n.269.3 | 16 | 33.2 | even | 10 | |||
363.3.h.o.251.2 | 16 | 11.4 | even | 5 | |||
363.3.h.o.251.3 | 16 | 33.26 | odd | 10 | |||
363.3.h.o.269.2 | 16 | 33.20 | odd | 10 | |||
363.3.h.o.269.3 | 16 | 11.9 | even | 5 |