Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [160,3,Mod(13,160)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(160, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 7, 6]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("160.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 160 = 2^{5} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 160.v (of order \(8\), 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: | \(4.35968422976\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 13.4 | ||
Character | \(\chi\) | \(=\) | 160.13 |
Dual form | 160.3.v.a.37.4 |
$q$-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 \(\left(\mathbb{Z}/160\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(97\) | \(101\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{7}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.97439 | − | 0.319035i | −0.987195 | − | 0.159518i | ||||
\(3\) | −3.58463 | + | 1.48480i | −1.19488 | + | 0.494935i | −0.889341 | − | 0.457245i | \(-0.848836\pi\) |
−0.305538 | + | 0.952180i | \(0.598836\pi\) | |||||||
\(4\) | 3.79643 | + | 1.25980i | 0.949108 | + | 0.314950i | ||||
\(5\) | −4.99639 | + | 0.190010i | −0.999278 | + | 0.0380019i | ||||
\(6\) | 7.55117 | − | 1.78796i | 1.25853 | − | 0.297993i | ||||
\(7\) | 8.87581i | 1.26797i | 0.773344 | + | 0.633986i | \(0.218582\pi\) | ||||
−0.773344 | + | 0.633986i | \(0.781418\pi\) | |||||||
\(8\) | −7.09372 | − | 3.69853i | −0.886715 | − | 0.462316i | ||||
\(9\) | 4.28100 | − | 4.28100i | 0.475667 | − | 0.475667i | ||||
\(10\) | 9.92544 | + | 1.21887i | 0.992544 | + | 0.121887i | ||||
\(11\) | 1.27785 | + | 3.08501i | 0.116168 | + | 0.280455i | 0.971260 | − | 0.238022i | \(-0.0764991\pi\) |
−0.855091 | + | 0.518477i | \(0.826499\pi\) | |||||||
\(12\) | −15.4794 | + | 1.12104i | −1.28995 | + | 0.0934200i | ||||
\(13\) | −4.06948 | − | 9.82458i | −0.313037 | − | 0.755737i | −0.999589 | − | 0.0286572i | \(-0.990877\pi\) |
0.686553 | − | 0.727080i | \(-0.259123\pi\) | |||||||
\(14\) | 2.83169 | − | 17.5243i | 0.202264 | − | 1.25174i | ||||
\(15\) | 17.6281 | − | 8.09977i | 1.17521 | − | 0.539985i | ||||
\(16\) | 12.8258 | + | 9.56549i | 0.801613 | + | 0.597843i | ||||
\(17\) | −5.51440 | − | 5.51440i | −0.324376 | − | 0.324376i | 0.526067 | − | 0.850443i | \(-0.323666\pi\) |
−0.850443 | + | 0.526067i | \(0.823666\pi\) | |||||||
\(18\) | −9.81816 | + | 7.08658i | −0.545453 | + | 0.393699i | ||||
\(19\) | 9.94611 | − | 24.0120i | 0.523480 | − | 1.26379i | −0.412249 | − | 0.911071i | \(-0.635257\pi\) |
0.935729 | − | 0.352721i | \(-0.114743\pi\) | |||||||
\(20\) | −19.2078 | − | 5.57309i | −0.960391 | − | 0.278654i | ||||
\(21\) | −13.1788 | − | 31.8165i | −0.627564 | − | 1.51507i | ||||
\(22\) | −1.53875 | − | 6.49869i | −0.0699433 | − | 0.295395i | ||||
\(23\) | − | 10.0843i | − | 0.438446i | −0.975675 | − | 0.219223i | \(-0.929648\pi\) | ||
0.975675 | − | 0.219223i | \(-0.0703522\pi\) | |||||||
\(24\) | 30.9200 | + | 2.72509i | 1.28833 | + | 0.113546i | ||||
\(25\) | 24.9278 | − | 1.89872i | 0.997112 | − | 0.0759490i | ||||
\(26\) | 4.90035 | + | 20.6959i | 0.188475 | + | 0.795995i | ||||
\(27\) | 4.37386 | − | 10.5594i | 0.161995 | − | 0.391090i | ||||
\(28\) | −11.1817 | + | 33.6964i | −0.399348 | + | 1.20344i | ||||
\(29\) | −34.5495 | − | 14.3109i | −1.19136 | − | 0.493478i | −0.303164 | − | 0.952938i | \(-0.598043\pi\) |
−0.888198 | + | 0.459460i | \(0.848043\pi\) | |||||||
\(30\) | −37.3889 | + | 10.3681i | −1.24630 | + | 0.345604i | ||||
\(31\) | 26.0045 | 0.838854 | 0.419427 | − | 0.907789i | \(-0.362231\pi\) | ||||
0.419427 | + | 0.907789i | \(0.362231\pi\) | |||||||
\(32\) | −22.2714 | − | 22.9779i | −0.695982 | − | 0.718059i | ||||
\(33\) | −9.16126 | − | 9.16126i | −0.277614 | − | 0.277614i | ||||
\(34\) | 9.12829 | + | 12.6469i | 0.268479 | + | 0.371967i | ||||
\(35\) | −1.68649 | − | 44.3470i | −0.0481854 | − | 1.26706i | ||||
\(36\) | 21.6457 | − | 10.8593i | 0.601271 | − | 0.301648i | ||||
\(37\) | −5.74557 | + | 13.8710i | −0.155286 | + | 0.374893i | −0.982307 | − | 0.187278i | \(-0.940034\pi\) |
0.827021 | + | 0.562171i | \(0.190034\pi\) | |||||||
\(38\) | −27.2982 | + | 44.2360i | −0.718374 | + | 1.16410i | ||||
\(39\) | 29.1752 | + | 29.1752i | 0.748081 | + | 0.748081i | ||||
\(40\) | 36.1457 | + | 17.1314i | 0.903643 | + | 0.428285i | ||||
\(41\) | −20.4105 | − | 20.4105i | −0.497817 | − | 0.497817i | 0.412941 | − | 0.910758i | \(-0.364502\pi\) |
−0.910758 | + | 0.412941i | \(0.864502\pi\) | |||||||
\(42\) | 15.8696 | + | 67.0228i | 0.377847 | + | 1.59578i | ||||
\(43\) | −24.1543 | + | 58.3136i | −0.561728 | + | 1.35613i | 0.346655 | + | 0.937993i | \(0.387317\pi\) |
−0.908383 | + | 0.418139i | \(0.862683\pi\) | |||||||
\(44\) | 0.964789 | + | 13.3219i | 0.0219270 | + | 0.302770i | ||||
\(45\) | −20.5761 | + | 22.2030i | −0.457247 | + | 0.493400i | ||||
\(46\) | −3.21723 | + | 19.9102i | −0.0699398 | + | 0.432831i | ||||
\(47\) | 59.6430 | + | 59.6430i | 1.26900 | + | 1.26900i | 0.946605 | + | 0.322396i | \(0.104488\pi\) |
0.322396 | + | 0.946605i | \(0.395512\pi\) | |||||||
\(48\) | −60.1787 | − | 15.2450i | −1.25372 | − | 0.317603i | ||||
\(49\) | −29.7800 | −0.607754 | ||||||||
\(50\) | −49.8229 | − | 4.20402i | −0.996459 | − | 0.0840803i | ||||
\(51\) | 27.9549 | + | 11.5793i | 0.548136 | + | 0.227045i | ||||
\(52\) | −3.07249 | − | 42.4251i | −0.0590864 | − | 0.815867i | ||||
\(53\) | 35.1915 | − | 84.9599i | 0.663991 | − | 1.60302i | −0.127502 | − | 0.991838i | \(-0.540696\pi\) |
0.791493 | − | 0.611178i | \(-0.209304\pi\) | |||||||
\(54\) | −12.0045 | + | 19.4530i | −0.222306 | + | 0.360241i | ||||
\(55\) | −6.97083 | − | 15.1711i | −0.126742 | − | 0.275838i | ||||
\(56\) | 32.8274 | − | 62.9625i | 0.586204 | − | 1.12433i | ||||
\(57\) | 100.842i | 1.76917i | ||||||||
\(58\) | 63.6485 | + | 39.2778i | 1.09739 | + | 0.677203i | ||||
\(59\) | −0.191201 | − | 0.461600i | −0.00324070 | − | 0.00782373i | 0.922251 | − | 0.386592i | \(-0.126348\pi\) |
−0.925492 | + | 0.378768i | \(0.876348\pi\) | |||||||
\(60\) | 77.1280 | − | 8.54238i | 1.28547 | − | 0.142373i | ||||
\(61\) | −8.60872 | + | 20.7833i | −0.141127 | + | 0.340710i | −0.978601 | − | 0.205767i | \(-0.934031\pi\) |
0.837475 | + | 0.546476i | \(0.184031\pi\) | |||||||
\(62\) | −51.3430 | − | 8.29634i | −0.828113 | − | 0.133812i | ||||
\(63\) | 37.9973 | + | 37.9973i | 0.603132 | + | 0.603132i | ||||
\(64\) | 36.6417 | + | 52.4727i | 0.572527 | + | 0.819886i | ||||
\(65\) | 22.1994 | + | 48.3142i | 0.341530 | + | 0.743295i | ||||
\(66\) | 15.1651 | + | 21.0107i | 0.229775 | + | 0.318344i | ||||
\(67\) | −27.2282 | − | 65.7348i | −0.406392 | − | 0.981116i | −0.986079 | − | 0.166277i | \(-0.946825\pi\) |
0.579687 | − | 0.814839i | \(-0.303175\pi\) | |||||||
\(68\) | −13.9880 | − | 27.8821i | −0.205706 | − | 0.410031i | ||||
\(69\) | 14.9731 | + | 36.1484i | 0.217002 | + | 0.523889i | ||||
\(70\) | −10.8185 | + | 88.0963i | −0.154549 | + | 1.25852i | ||||
\(71\) | −11.9011 | + | 11.9011i | −0.167621 | + | 0.167621i | −0.785933 | − | 0.618312i | \(-0.787817\pi\) |
0.618312 | + | 0.785933i | \(0.287817\pi\) | |||||||
\(72\) | −46.2016 | + | 14.5348i | −0.641689 | + | 0.201872i | ||||
\(73\) | − | 114.152i | − | 1.56372i | −0.623453 | − | 0.781860i | \(-0.714271\pi\) | ||
0.623453 | − | 0.781860i | \(-0.285729\pi\) | |||||||
\(74\) | 15.7693 | − | 25.5538i | 0.213099 | − | 0.345321i | ||||
\(75\) | −86.5378 | + | 43.8191i | −1.15384 | + | 0.584255i | ||||
\(76\) | 68.0101 | − | 78.6300i | 0.894870 | − | 1.03461i | ||||
\(77\) | −27.3819 | + | 11.3420i | −0.355610 | + | 0.147298i | ||||
\(78\) | −48.2953 | − | 66.9111i | −0.619170 | − | 0.857834i | ||||
\(79\) | −141.030 | −1.78518 | −0.892592 | − | 0.450864i | \(-0.851116\pi\) | ||||
−0.892592 | + | 0.450864i | \(0.851116\pi\) | |||||||
\(80\) | −65.9003 | − | 45.3559i | −0.823753 | − | 0.566948i | ||||
\(81\) | 98.8343i | 1.22018i | ||||||||
\(82\) | 33.7866 | + | 46.8099i | 0.412032 | + | 0.570853i | ||||
\(83\) | −44.9673 | − | 108.561i | −0.541774 | − | 1.30796i | −0.923470 | − | 0.383671i | \(-0.874660\pi\) |
0.381696 | − | 0.924288i | \(-0.375340\pi\) | |||||||
\(84\) | −9.95014 | − | 137.392i | −0.118454 | − | 1.63562i | ||||
\(85\) | 28.5999 | + | 26.5043i | 0.336469 | + | 0.311815i | ||||
\(86\) | 66.2941 | − | 107.428i | 0.770862 | − | 1.24916i | ||||
\(87\) | 145.096 | 1.66777 | ||||||||
\(88\) | 2.34527 | − | 26.6104i | 0.0266508 | − | 0.302390i | ||||
\(89\) | −63.8746 | − | 63.8746i | −0.717692 | − | 0.717692i | 0.250440 | − | 0.968132i | \(-0.419425\pi\) |
−0.968132 | + | 0.250440i | \(0.919425\pi\) | |||||||
\(90\) | 47.7088 | − | 37.2728i | 0.530098 | − | 0.414143i | ||||
\(91\) | 87.2011 | − | 36.1199i | 0.958254 | − | 0.396922i | ||||
\(92\) | 12.7041 | − | 38.2842i | 0.138088 | − | 0.416132i | ||||
\(93\) | −93.2166 | + | 38.6116i | −1.00233 | + | 0.415178i | ||||
\(94\) | −98.7304 | − | 136.787i | −1.05032 | − | 1.45518i | ||||
\(95\) | −45.1321 | + | 121.863i | −0.475075 | + | 1.28277i | ||||
\(96\) | 113.953 | + | 49.2986i | 1.18701 | + | 0.513527i | ||||
\(97\) | 88.2994 | − | 88.2994i | 0.910303 | − | 0.910303i | −0.0859928 | − | 0.996296i | \(-0.527406\pi\) |
0.996296 | + | 0.0859928i | \(0.0274062\pi\) | |||||||
\(98\) | 58.7973 | + | 9.50085i | 0.599972 | + | 0.0969475i | ||||
\(99\) | 18.6774 | + | 7.73644i | 0.188661 | + | 0.0781458i | ||||
\(100\) | 97.0287 | + | 24.1956i | 0.970287 | + | 0.241956i | ||||
\(101\) | −23.7681 | + | 9.84505i | −0.235327 | + | 0.0974758i | −0.497231 | − | 0.867618i | \(-0.665650\pi\) |
0.261904 | + | 0.965094i | \(0.415650\pi\) | |||||||
\(102\) | −51.4997 | − | 31.7807i | −0.504899 | − | 0.311575i | ||||
\(103\) | −147.159 | −1.42873 | −0.714365 | − | 0.699774i | \(-0.753284\pi\) | ||||
−0.714365 | + | 0.699774i | \(0.753284\pi\) | |||||||
\(104\) | −7.46880 | + | 84.7439i | −0.0718154 | + | 0.814846i | ||||
\(105\) | 71.8920 | + | 156.464i | 0.684686 | + | 1.49013i | ||||
\(106\) | −96.5870 | + | 156.517i | −0.911198 | + | 1.47657i | ||||
\(107\) | 89.7961 | + | 37.1948i | 0.839216 | + | 0.347615i | 0.760544 | − | 0.649286i | \(-0.224932\pi\) |
0.0786714 | + | 0.996901i | \(0.474932\pi\) | |||||||
\(108\) | 29.9078 | − | 34.5780i | 0.276924 | − | 0.320167i | ||||
\(109\) | −50.4751 | + | 121.858i | −0.463074 | + | 1.11796i | 0.504054 | + | 0.863672i | \(0.331841\pi\) |
−0.967128 | + | 0.254288i | \(0.918159\pi\) | |||||||
\(110\) | 8.92302 | + | 32.1776i | 0.0811184 | + | 0.292524i | ||||
\(111\) | − | 58.2536i | − | 0.524807i | ||||||
\(112\) | −84.9014 | + | 113.839i | −0.758049 | + | 1.01642i | ||||
\(113\) | 47.6184 | − | 47.6184i | 0.421402 | − | 0.421402i | −0.464284 | − | 0.885686i | \(-0.653688\pi\) |
0.885686 | + | 0.464284i | \(0.153688\pi\) | |||||||
\(114\) | 32.1723 | − | 199.102i | 0.282213 | − | 1.74651i | ||||
\(115\) | 1.91610 | + | 50.3848i | 0.0166618 | + | 0.438129i | ||||
\(116\) | −113.136 | − | 97.8557i | −0.975311 | − | 0.843584i | ||||
\(117\) | −59.4805 | − | 24.6376i | −0.508380 | − | 0.210578i | ||||
\(118\) | 0.230239 | + | 0.972379i | 0.00195118 | + | 0.00824050i | ||||
\(119\) | 48.9448 | − | 48.9448i | 0.411300 | − | 0.411300i | ||||
\(120\) | −155.006 | − | 7.74053i | −1.29172 | − | 0.0645044i | ||||
\(121\) | 77.6756 | − | 77.6756i | 0.641947 | − | 0.641947i | ||||
\(122\) | 23.6276 | − | 38.2878i | 0.193669 | − | 0.313835i | ||||
\(123\) | 103.470 | + | 42.8586i | 0.841218 | + | 0.348444i | ||||
\(124\) | 98.7243 | + | 32.7604i | 0.796164 | + | 0.264197i | ||||
\(125\) | −124.188 | + | 14.2233i | −0.993505 | + | 0.113786i | ||||
\(126\) | −62.8991 | − | 87.1441i | −0.499199 | − | 0.691620i | ||||
\(127\) | 52.2568 | − | 52.2568i | 0.411471 | − | 0.411471i | −0.470780 | − | 0.882251i | \(-0.656027\pi\) |
0.882251 | + | 0.470780i | \(0.156027\pi\) | |||||||
\(128\) | −55.6045 | − | 115.292i | −0.434410 | − | 0.900715i | ||||
\(129\) | − | 244.898i | − | 1.89843i | ||||||
\(130\) | −28.4165 | − | 102.473i | −0.218588 | − | 0.788258i | ||||
\(131\) | 2.64727 | − | 6.39108i | 0.0202082 | − | 0.0487869i | −0.913453 | − | 0.406943i | \(-0.866595\pi\) |
0.933662 | + | 0.358157i | \(0.116595\pi\) | |||||||
\(132\) | −23.2388 | − | 46.3215i | −0.176051 | − | 0.350920i | ||||
\(133\) | 213.126 | + | 88.2798i | 1.60245 | + | 0.663758i | ||||
\(134\) | 32.7875 | + | 138.473i | 0.244683 | + | 1.03338i | ||||
\(135\) | −19.8471 | + | 53.5901i | −0.147016 | + | 0.396964i | ||||
\(136\) | 18.7224 | + | 59.5128i | 0.137665 | + | 0.437594i | ||||
\(137\) | −74.8226 | −0.546151 | −0.273075 | − | 0.961993i | \(-0.588041\pi\) | ||||
−0.273075 | + | 0.961993i | \(0.588041\pi\) | |||||||
\(138\) | −18.0302 | − | 76.1479i | −0.130654 | − | 0.551797i | ||||
\(139\) | 114.551 | − | 47.4486i | 0.824108 | − | 0.341357i | 0.0695406 | − | 0.997579i | \(-0.477847\pi\) |
0.754568 | + | 0.656222i | \(0.227847\pi\) | |||||||
\(140\) | 49.4657 | − | 170.485i | 0.353326 | − | 1.21775i | ||||
\(141\) | −302.357 | − | 125.240i | −2.14437 | − | 0.888229i | ||||
\(142\) | 27.2942 | − | 19.7005i | 0.192213 | − | 0.138736i | ||||
\(143\) | 25.1087 | − | 25.1087i | 0.175586 | − | 0.175586i | ||||
\(144\) | 95.8572 | − | 13.9575i | 0.665675 | − | 0.0969267i | ||||
\(145\) | 175.342 | + | 64.9379i | 1.20925 | + | 0.447848i | ||||
\(146\) | −36.4184 | + | 225.380i | −0.249441 | + | 1.54370i | ||||
\(147\) | 106.750 | − | 44.2174i | 0.726193 | − | 0.300799i | ||||
\(148\) | −39.2874 | + | 45.4222i | −0.265455 | + | 0.306907i | ||||
\(149\) | −41.7826 | + | 17.3069i | −0.280420 | + | 0.116154i | −0.518461 | − | 0.855101i | \(-0.673495\pi\) |
0.238041 | + | 0.971255i | \(0.423495\pi\) | |||||||
\(150\) | 184.839 | − | 58.9075i | 1.23226 | − | 0.392716i | ||||
\(151\) | −65.0837 | − | 65.0837i | −0.431018 | − | 0.431018i | 0.457957 | − | 0.888974i | \(-0.348581\pi\) |
−0.888974 | + | 0.457957i | \(0.848581\pi\) | |||||||
\(152\) | −159.364 | + | 133.549i | −1.04845 | + | 0.878610i | ||||
\(153\) | −47.2143 | −0.308590 | ||||||||
\(154\) | 57.6811 | − | 13.6577i | 0.374553 | − | 0.0886862i | ||||
\(155\) | −129.929 | + | 4.94110i | −0.838248 | + | 0.0318781i | ||||
\(156\) | 74.0067 | + | 147.516i | 0.474402 | + | 0.945618i | ||||
\(157\) | −92.5768 | − | 223.500i | −0.589661 | − | 1.42357i | −0.883827 | − | 0.467814i | \(-0.845042\pi\) |
0.294166 | − | 0.955754i | \(-0.404958\pi\) | |||||||
\(158\) | 278.447 | + | 44.9934i | 1.76233 | + | 0.284768i | ||||
\(159\) | 356.803i | 2.24404i | ||||||||
\(160\) | 115.643 | + | 110.575i | 0.722767 | + | 0.691092i | ||||
\(161\) | 89.5059 | 0.555937 | ||||||||
\(162\) | 31.5316 | − | 195.137i | 0.194640 | − | 1.20455i | ||||
\(163\) | −213.610 | + | 88.4802i | −1.31049 | + | 0.542823i | −0.925028 | − | 0.379899i | \(-0.875959\pi\) |
−0.385464 | + | 0.922723i | \(0.625959\pi\) | |||||||
\(164\) | −51.7740 | − | 103.200i | −0.315695 | − | 0.629270i | ||||
\(165\) | 47.5140 | + | 44.0325i | 0.287963 | + | 0.266864i | ||||
\(166\) | 54.1483 | + | 228.687i | 0.326195 | + | 1.37763i | ||||
\(167\) | 98.1507i | 0.587729i | 0.955847 | + | 0.293864i | \(0.0949414\pi\) | ||||
−0.955847 | + | 0.293864i | \(0.905059\pi\) | |||||||
\(168\) | −24.1874 | + | 274.440i | −0.143973 | + | 1.63357i | ||||
\(169\) | 39.5392 | − | 39.5392i | 0.233960 | − | 0.233960i | ||||
\(170\) | −48.0115 | − | 61.4542i | −0.282421 | − | 0.361495i | ||||
\(171\) | −60.2163 | − | 145.375i | −0.352142 | − | 0.850146i | ||||
\(172\) | −165.164 | + | 190.954i | −0.960254 | + | 1.11020i | ||||
\(173\) | 127.924 | + | 308.835i | 0.739444 | + | 1.78517i | 0.608136 | + | 0.793833i | \(0.291918\pi\) |
0.131308 | + | 0.991342i | \(0.458082\pi\) | |||||||
\(174\) | −286.477 | − | 46.2908i | −1.64642 | − | 0.266039i | ||||
\(175\) | 16.8527 | + | 221.254i | 0.0963012 | + | 1.26431i | ||||
\(176\) | −13.1201 | + | 51.7910i | −0.0745461 | + | 0.294267i | ||||
\(177\) | 1.37077 | + | 1.37077i | 0.00774448 | + | 0.00774448i | ||||
\(178\) | 105.735 | + | 146.492i | 0.594018 | + | 0.822987i | ||||
\(179\) | −27.9255 | + | 67.4182i | −0.156009 | + | 0.376638i | −0.982487 | − | 0.186330i | \(-0.940341\pi\) |
0.826479 | + | 0.562968i | \(0.190341\pi\) | |||||||
\(180\) | −106.087 | + | 58.3703i | −0.589373 | + | 0.324280i | ||||
\(181\) | 5.41965 | + | 13.0842i | 0.0299428 | + | 0.0722883i | 0.938144 | − | 0.346246i | \(-0.112544\pi\) |
−0.908201 | + | 0.418535i | \(0.862544\pi\) | |||||||
\(182\) | −183.693 | + | 43.4945i | −1.00930 | + | 0.238981i | ||||
\(183\) | − | 87.2828i | − | 0.476955i | ||||||
\(184\) | −37.2969 | + | 71.5349i | −0.202701 | + | 0.388776i | ||||
\(185\) | 26.0715 | − | 70.3968i | 0.140927 | − | 0.380523i | ||||
\(186\) | 196.364 | − | 46.4950i | 1.05572 | − | 0.249973i | ||||
\(187\) | 9.96538 | − | 24.0585i | 0.0532908 | − | 0.128655i | ||||
\(188\) | 151.293 | + | 301.569i | 0.804748 | + | 1.60409i | ||||
\(189\) | 93.7235 | + | 38.8216i | 0.495892 | + | 0.205405i | ||||
\(190\) | 127.987 | − | 226.207i | 0.673616 | − | 1.19056i | ||||
\(191\) | −152.185 | −0.796780 | −0.398390 | − | 0.917216i | \(-0.630431\pi\) | ||||
−0.398390 | + | 0.917216i | \(0.630431\pi\) | |||||||
\(192\) | −209.259 | − | 133.690i | −1.08989 | − | 0.696300i | ||||
\(193\) | −170.122 | − | 170.122i | −0.881462 | − | 0.881462i | 0.112221 | − | 0.993683i | \(-0.464203\pi\) |
−0.993683 | + | 0.112221i | \(0.964203\pi\) | |||||||
\(194\) | −202.508 | + | 146.167i | −1.04386 | + | 0.753437i | ||||
\(195\) | −151.314 | − | 140.227i | −0.775970 | − | 0.719112i | ||||
\(196\) | −113.058 | − | 37.5168i | −0.576825 | − | 0.191412i | ||||
\(197\) | −70.0121 | + | 169.024i | −0.355392 | + | 0.857991i | 0.640544 | + | 0.767922i | \(0.278709\pi\) |
−0.995935 | + | 0.0900696i | \(0.971291\pi\) | |||||||
\(198\) | −34.4083 | − | 21.2335i | −0.173779 | − | 0.107240i | ||||
\(199\) | 47.3855 | + | 47.3855i | 0.238118 | + | 0.238118i | 0.816070 | − | 0.577952i | \(-0.196148\pi\) |
−0.577952 | + | 0.816070i | \(0.696148\pi\) | |||||||
\(200\) | −183.853 | − | 78.7272i | −0.919266 | − | 0.393636i | ||||
\(201\) | 195.207 | + | 195.207i | 0.971177 | + | 0.971177i | ||||
\(202\) | 50.0683 | − | 11.8551i | 0.247863 | − | 0.0586888i | ||||
\(203\) | 127.021 | − | 306.655i | 0.625717 | − | 1.51061i | ||||
\(204\) | 91.5414 | + | 79.1776i | 0.448732 | + | 0.388126i | ||||
\(205\) | 105.857 | + | 98.1006i | 0.516375 | + | 0.478539i | ||||
\(206\) | 290.550 | + | 46.9489i | 1.41043 | + | 0.227907i | ||||
\(207\) | −43.1707 | − | 43.1707i | −0.208554 | − | 0.208554i | ||||
\(208\) | 41.7826 | − | 164.935i | 0.200878 | − | 0.792956i | ||||
\(209\) | 86.7870 | 0.415249 | ||||||||
\(210\) | −92.0256 | − | 331.856i | −0.438217 | − | 1.58027i | ||||
\(211\) | −72.2569 | − | 29.9298i | −0.342450 | − | 0.141847i | 0.204829 | − | 0.978798i | \(-0.434336\pi\) |
−0.547279 | + | 0.836950i | \(0.684336\pi\) | |||||||
\(212\) | 240.635 | − | 278.210i | 1.13507 | − | 1.31231i | ||||
\(213\) | 24.9902 | − | 60.3318i | 0.117325 | − | 0.283248i | ||||
\(214\) | −165.426 | − | 102.085i | −0.773019 | − | 0.477033i | ||||
\(215\) | 109.604 | − | 295.947i | 0.509787 | − | 1.37650i | ||||
\(216\) | −70.0814 | + | 58.7288i | −0.324451 | + | 0.271893i | ||||
\(217\) | 230.811i | 1.06364i | ||||||||
\(218\) | 138.534 | − | 224.491i | 0.635479 | − | 1.02978i | ||||
\(219\) | 169.493 | + | 409.192i | 0.773940 | + | 1.86846i | ||||
\(220\) | −7.35174 | − | 66.3779i | −0.0334170 | − | 0.301718i | ||||
\(221\) | −31.7360 | + | 76.6174i | −0.143602 | + | 0.346685i | ||||
\(222\) | −18.5849 | + | 115.015i | −0.0837160 | + | 0.518087i | ||||
\(223\) | −83.0491 | − | 83.0491i | −0.372418 | − | 0.372418i | 0.495939 | − | 0.868357i | \(-0.334824\pi\) |
−0.868357 | + | 0.495939i | \(0.834824\pi\) | |||||||
\(224\) | 203.947 | − | 197.677i | 0.910479 | − | 0.882486i | ||||
\(225\) | 98.5875 | − | 114.844i | 0.438167 | − | 0.510419i | ||||
\(226\) | −109.209 | + | 78.8254i | −0.483227 | + | 0.348785i | ||||
\(227\) | −137.268 | − | 331.394i | −0.604704 | − | 1.45989i | −0.868689 | − | 0.495358i | \(-0.835037\pi\) |
0.263985 | − | 0.964527i | \(-0.414963\pi\) | |||||||
\(228\) | −127.041 | + | 382.842i | −0.557198 | + | 1.67913i | ||||
\(229\) | −87.5720 | − | 211.418i | −0.382411 | − | 0.923221i | −0.991499 | − | 0.130118i | \(-0.958464\pi\) |
0.609088 | − | 0.793103i | \(-0.291536\pi\) | |||||||
\(230\) | 12.2914 | − | 100.091i | 0.0534408 | − | 0.435177i | ||||
\(231\) | 81.3136 | − | 81.3136i | 0.352007 | − | 0.352007i | ||||
\(232\) | 192.155 | + | 229.300i | 0.828256 | + | 0.988361i | ||||
\(233\) | − | 3.82856i | − | 0.0164316i | −0.999966 | − | 0.00821580i | \(-0.997385\pi\) | ||
0.999966 | − | 0.00821580i | \(-0.00261520\pi\) | |||||||
\(234\) | 109.577 | + | 67.6207i | 0.468280 | + | 0.288977i | ||||
\(235\) | −309.333 | − | 286.667i | −1.31631 | − | 1.21986i | ||||
\(236\) | −0.144359 | − | 1.99331i | −0.000611689 | − | 0.00844623i | ||||
\(237\) | 505.540 | − | 209.401i | 2.13308 | − | 0.883550i | ||||
\(238\) | −112.251 | + | 81.0209i | −0.471643 | + | 0.340424i | ||||
\(239\) | −311.277 | −1.30241 | −0.651207 | − | 0.758900i | \(-0.725737\pi\) | ||||
−0.651207 | + | 0.758900i | \(0.725737\pi\) | |||||||
\(240\) | 303.573 | + | 64.7352i | 1.26489 | + | 0.269730i | ||||
\(241\) | − | 269.897i | − | 1.11990i | −0.828525 | − | 0.559952i | \(-0.810820\pi\) | ||
0.828525 | − | 0.559952i | \(-0.189180\pi\) | |||||||
\(242\) | −178.143 | + | 128.581i | −0.736128 | + | 0.531325i | ||||
\(243\) | −107.385 | − | 259.250i | −0.441913 | − | 1.06687i | ||||
\(244\) | −58.8652 | + | 68.0571i | −0.241251 | + | 0.278923i | ||||
\(245\) | 148.792 | − | 5.65848i | 0.607315 | − | 0.0230958i | ||||
\(246\) | −190.616 | − | 117.630i | −0.774863 | − | 0.478171i | ||||
\(247\) | −276.384 | −1.11896 | ||||||||
\(248\) | −184.469 | − | 96.1784i | −0.743825 | − | 0.387816i | ||||
\(249\) | 322.383 | + | 322.383i | 1.29471 | + | 1.29471i | ||||
\(250\) | 249.734 | + | 11.5381i | 0.998934 | + | 0.0461523i | ||||
\(251\) | −32.1706 | + | 13.3255i | −0.128170 | + | 0.0530897i | −0.445847 | − | 0.895109i | \(-0.647097\pi\) |
0.317677 | + | 0.948199i | \(0.397097\pi\) | |||||||
\(252\) | 96.3854 | + | 192.123i | 0.382482 | + | 0.762395i | ||||
\(253\) | 31.1100 | − | 12.8862i | 0.122964 | − | 0.0509335i | ||||
\(254\) | −119.847 | + | 86.5035i | −0.471838 | + | 0.340565i | ||||
\(255\) | −141.874 | − | 52.5430i | −0.556368 | − | 0.206051i | ||||
\(256\) | 73.0029 | + | 245.370i | 0.285168 | + | 0.958478i | ||||
\(257\) | −95.2364 | + | 95.2364i | −0.370570 | + | 0.370570i | −0.867685 | − | 0.497115i | \(-0.834393\pi\) |
0.497115 | + | 0.867685i | \(0.334393\pi\) | |||||||
\(258\) | −78.1309 | + | 483.523i | −0.302833 | + | 1.87412i | ||||
\(259\) | −123.117 | − | 50.9966i | −0.475354 | − | 0.196898i | ||||
\(260\) | 23.4125 | + | 211.388i | 0.0900482 | + | 0.813033i | ||||
\(261\) | −209.171 | + | 86.6416i | −0.801423 | + | 0.331960i | ||||
\(262\) | −7.26573 | + | 11.7739i | −0.0277318 | + | 0.0449386i | ||||
\(263\) | 333.856 | 1.26941 | 0.634707 | − | 0.772753i | \(-0.281121\pi\) | ||||
0.634707 | + | 0.772753i | \(0.281121\pi\) | |||||||
\(264\) | 31.1042 | + | 98.8707i | 0.117819 | + | 0.374510i | ||||
\(265\) | −159.687 | + | 431.179i | −0.602594 | + | 1.62709i | ||||
\(266\) | −392.630 | − | 242.294i | −1.47605 | − | 0.910878i | ||||
\(267\) | 323.808 | + | 134.126i | 1.21277 | + | 0.502344i | ||||
\(268\) | −20.5576 | − | 283.860i | −0.0767073 | − | 1.05918i | ||||
\(269\) | 123.705 | − | 298.651i | 0.459870 | − | 1.11023i | −0.508579 | − | 0.861015i | \(-0.669829\pi\) |
0.968449 | − | 0.249210i | \(-0.0801709\pi\) | |||||||
\(270\) | 56.2831 | − | 99.4759i | 0.208456 | − | 0.368429i | ||||
\(271\) | − | 227.732i | − | 0.840339i | −0.907446 | − | 0.420169i | \(-0.861971\pi\) | ||
0.907446 | − | 0.420169i | \(-0.138029\pi\) | |||||||
\(272\) | −17.9787 | − | 123.475i | −0.0660983 | − | 0.453951i | ||||
\(273\) | −258.953 | + | 258.953i | −0.948547 | + | 0.948547i | ||||
\(274\) | 147.729 | + | 23.8710i | 0.539157 | + | 0.0871206i | ||||
\(275\) | 37.7116 | + | 74.4761i | 0.137133 | + | 0.270822i | ||||
\(276\) | 11.3049 | + | 156.098i | 0.0409596 | + | 0.565572i | ||||
\(277\) | 288.426 | + | 119.470i | 1.04125 | + | 0.431299i | 0.836760 | − | 0.547570i | \(-0.184447\pi\) |
0.204488 | + | 0.978869i | \(0.434447\pi\) | |||||||
\(278\) | −241.306 | + | 57.1362i | −0.868008 | + | 0.205526i | ||||
\(279\) | 111.325 | − | 111.325i | 0.399015 | − | 0.399015i | ||||
\(280\) | −152.055 | + | 320.823i | −0.543054 | + | 1.14580i | ||||
\(281\) | 124.744 | − | 124.744i | 0.443927 | − | 0.443927i | −0.449402 | − | 0.893330i | \(-0.648363\pi\) |
0.893330 | + | 0.449402i | \(0.148363\pi\) | |||||||
\(282\) | 557.014 | + | 343.736i | 1.97523 | + | 1.21892i | ||||
\(283\) | 133.517 | + | 55.3045i | 0.471791 | + | 0.195422i | 0.605894 | − | 0.795545i | \(-0.292815\pi\) |
−0.134103 | + | 0.990967i | \(0.542815\pi\) | |||||||
\(284\) | −60.1746 | + | 30.1887i | −0.211882 | + | 0.106298i | ||||
\(285\) | −19.1610 | − | 503.848i | −0.0672317 | − | 1.76789i | ||||
\(286\) | −57.5850 | + | 41.5639i | −0.201346 | + | 0.145328i | ||||
\(287\) | 181.160 | − | 181.160i | 0.631218 | − | 0.631218i | ||||
\(288\) | −193.712 | − | 3.02435i | −0.672613 | − | 0.0105012i | ||||
\(289\) | − | 228.183i | − | 0.789560i | ||||||
\(290\) | −325.476 | − | 184.153i | −1.12233 | − | 0.635011i | ||||
\(291\) | −185.414 | + | 447.628i | −0.637161 | + | 1.53824i | ||||
\(292\) | 143.808 | − | 433.369i | 0.492494 | − | 1.48414i | ||||
\(293\) | 128.771 | + | 53.3389i | 0.439493 | + | 0.182044i | 0.591447 | − | 0.806344i | \(-0.298557\pi\) |
−0.151955 | + | 0.988387i | \(0.548557\pi\) | |||||||
\(294\) | −224.874 | + | 53.2454i | −0.764876 | + | 0.181107i | ||||
\(295\) | 1.04302 | + | 2.27000i | 0.00353567 | + | 0.00769493i | ||||
\(296\) | 92.0599 | − | 77.1470i | 0.311013 | − | 0.260632i | ||||
\(297\) | 38.1651 | 0.128502 | ||||||||
\(298\) | 88.0168 | − | 20.8405i | 0.295358 | − | 0.0699346i | ||||
\(299\) | −99.0736 | + | 41.0376i | −0.331350 | + | 0.137250i | ||||
\(300\) | −383.738 | + | 57.3361i | −1.27913 | + | 0.191120i | ||||
\(301\) | −517.581 | − | 214.389i | −1.71954 | − | 0.712256i | ||||
\(302\) | 107.737 | + | 149.265i | 0.356744 | + | 0.494253i | ||||
\(303\) | 70.5818 | − | 70.5818i | 0.232943 | − | 0.232943i | ||||
\(304\) | 357.254 | − | 212.835i | 1.17518 | − | 0.700114i | ||||
\(305\) | 39.0635 | − | 105.477i | 0.128077 | − | 0.345827i | ||||
\(306\) | 93.2195 | + | 15.0630i | 0.304639 | + | 0.0492255i | ||||
\(307\) | 73.1594 | − | 30.3036i | 0.238304 | − | 0.0987089i | −0.260335 | − | 0.965518i | \(-0.583833\pi\) |
0.498640 | + | 0.866809i | \(0.333833\pi\) | |||||||
\(308\) | −118.242 | + | 8.56329i | −0.383904 | + | 0.0278029i | ||||
\(309\) | 527.512 | − | 218.503i | 1.70716 | − | 0.707128i | ||||
\(310\) | 258.106 | + | 31.6961i | 0.832600 | + | 0.102245i | ||||
\(311\) | 240.904 | + | 240.904i | 0.774611 | + | 0.774611i | 0.978909 | − | 0.204298i | \(-0.0654910\pi\) |
−0.204298 | + | 0.978909i | \(0.565491\pi\) | |||||||
\(312\) | −99.0553 | − | 314.866i | −0.317485 | − | 1.00919i | ||||
\(313\) | 346.273 | 1.10630 | 0.553152 | − | 0.833080i | \(-0.313425\pi\) | ||||
0.553152 | + | 0.833080i | \(0.313425\pi\) | |||||||
\(314\) | 111.478 | + | 470.812i | 0.355027 | + | 1.49940i | ||||
\(315\) | −197.069 | − | 182.630i | −0.625617 | − | 0.579777i | ||||
\(316\) | −535.409 | − | 177.669i | −1.69433 | − | 0.562244i | ||||
\(317\) | 100.804 | + | 243.363i | 0.317995 | + | 0.767708i | 0.999360 | + | 0.0357643i | \(0.0113866\pi\) |
−0.681365 | + | 0.731944i | \(0.738613\pi\) | |||||||
\(318\) | 113.833 | − | 704.468i | 0.357964 | − | 2.21531i | ||||
\(319\) | − | 124.873i | − | 0.391450i | ||||||
\(320\) | −193.047 | − | 255.212i | −0.603271 | − | 0.797536i | ||||
\(321\) | −377.113 | −1.17481 | ||||||||
\(322\) | −176.720 | − | 28.5555i | −0.548818 | − | 0.0886817i | ||||
\(323\) | −187.259 | + | 77.5652i | −0.579749 | + | 0.240140i | ||||
\(324\) | −124.511 | + | 375.218i | −0.384294 | + | 1.15808i | ||||
\(325\) | −120.097 | − | 237.178i | −0.369530 | − | 0.729780i | ||||
\(326\) | 449.978 | − | 106.545i | 1.38030 | − | 0.326826i | ||||
\(327\) | − | 511.761i | − | 1.56502i | ||||||
\(328\) | 69.2975 | + | 220.275i | 0.211273 | + | 0.671571i | ||||
\(329\) | −529.380 | + | 529.380i | −1.60906 | + | 1.60906i | ||||
\(330\) | −79.7632 | − | 102.096i | −0.241707 | − | 0.309382i | ||||
\(331\) | 99.1571 | + | 239.386i | 0.299568 | + | 0.723222i | 0.999955 | + | 0.00945843i | \(0.00301076\pi\) |
−0.700387 | + | 0.713763i | \(0.746989\pi\) | |||||||
\(332\) | −33.9507 | − | 468.793i | −0.102261 | − | 1.41203i | ||||
\(333\) | 34.7851 | + | 83.9787i | 0.104460 | + | 0.252188i | ||||
\(334\) | 31.3135 | − | 193.788i | 0.0937530 | − | 0.580203i | ||||
\(335\) | 148.533 | + | 323.263i | 0.443382 | + | 0.964964i | ||||
\(336\) | 135.311 | − | 534.135i | 0.402712 | − | 1.58969i | ||||
\(337\) | −290.679 | − | 290.679i | −0.862548 | − | 0.862548i | 0.129085 | − | 0.991633i | \(-0.458796\pi\) |
−0.991633 | + | 0.129085i | \(0.958796\pi\) | |||||||
\(338\) | −90.6802 | + | 65.4514i | −0.268285 | + | 0.193643i | ||||
\(339\) | −99.9906 | + | 241.399i | −0.294958 | + | 0.712091i | ||||
\(340\) | 75.1874 | + | 136.652i | 0.221139 | + | 0.401917i | ||||
\(341\) | 33.2299 | + | 80.2240i | 0.0974483 | + | 0.235261i | ||||
\(342\) | 72.5107 | + | 306.238i | 0.212020 | + | 0.895433i | ||||
\(343\) | 170.593i | 0.497357i | ||||||||
\(344\) | 387.019 | − | 324.325i | 1.12505 | − | 0.942806i | ||||
\(345\) | −81.6802 | − | 177.766i | −0.236754 | − | 0.515264i | ||||
\(346\) | −154.042 | − | 650.573i | −0.445208 | − | 1.88027i | ||||
\(347\) | −232.408 | + | 561.084i | −0.669765 | + | 1.61696i | 0.112238 | + | 0.993681i | \(0.464198\pi\) |
−0.782003 | + | 0.623274i | \(0.785802\pi\) | |||||||
\(348\) | 550.848 | + | 182.792i | 1.58290 | + | 0.525265i | ||||
\(349\) | −272.070 | − | 112.695i | −0.779570 | − | 0.322908i | −0.0428280 | − | 0.999082i | \(-0.513637\pi\) |
−0.736742 | + | 0.676174i | \(0.763637\pi\) | |||||||
\(350\) | 37.3141 | − | 442.219i | 0.106612 | − | 1.26348i | ||||
\(351\) | −121.541 | −0.346272 | ||||||||
\(352\) | 42.4274 | − | 98.0699i | 0.120532 | − | 0.278608i | ||||
\(353\) | −84.5166 | − | 84.5166i | −0.239424 | − | 0.239424i | 0.577188 | − | 0.816612i | \(-0.304150\pi\) |
−0.816612 | + | 0.577188i | \(0.804150\pi\) | |||||||
\(354\) | −2.26911 | − | 3.14376i | −0.00640993 | − | 0.00888069i | ||||
\(355\) | 57.2011 | − | 61.7237i | 0.161130 | − | 0.173870i | ||||
\(356\) | −162.026 | − | 322.965i | −0.455131 | − | 0.907205i | ||||
\(357\) | −102.776 | + | 248.122i | −0.287887 | + | 0.695021i | ||||
\(358\) | 76.6447 | − | 124.201i | 0.214091 | − | 0.346929i | ||||
\(359\) | 153.661 | + | 153.661i | 0.428025 | + | 0.428025i | 0.887955 | − | 0.459930i | \(-0.152126\pi\) |
−0.459930 | + | 0.887955i | \(0.652126\pi\) | |||||||
\(360\) | 228.080 | − | 81.4003i | 0.633554 | − | 0.226112i | ||||
\(361\) | −222.388 | − | 222.388i | −0.616032 | − | 0.616032i | ||||
\(362\) | −6.52618 | − | 27.5623i | −0.0180281 | − | 0.0761391i | ||||
\(363\) | −163.105 | + | 393.772i | −0.449326 | + | 1.08477i | ||||
\(364\) | 376.557 | − | 27.2708i | 1.03450 | − | 0.0749199i | ||||
\(365\) | 21.6899 | + | 570.346i | 0.0594244 | + | 1.56259i | ||||
\(366\) | −27.8463 | + | 172.330i | −0.0760827 | + | 0.470848i | ||||
\(367\) | −54.1524 | − | 54.1524i | −0.147554 | − | 0.147554i | 0.629470 | − | 0.777025i | \(-0.283272\pi\) |
−0.777025 | + | 0.629470i | \(0.783272\pi\) | |||||||
\(368\) | 96.4608 | − | 129.339i | 0.262122 | − | 0.351464i | ||||
\(369\) | −174.755 | −0.473590 | ||||||||
\(370\) | −73.9343 | + | 130.673i | −0.199822 | + | 0.353170i | ||||
\(371\) | 754.088 | + | 312.353i | 2.03258 | + | 0.841923i | ||||
\(372\) | −402.533 | + | 29.1521i | −1.08208 | + | 0.0783658i | ||||
\(373\) | −239.788 | + | 578.900i | −0.642863 | + | 1.55201i | 0.179937 | + | 0.983678i | \(0.442411\pi\) |
−0.822800 | + | 0.568331i | \(0.807589\pi\) | |||||||
\(374\) | −27.3511 | + | 44.3217i | −0.0731312 | + | 0.118507i | ||||
\(375\) | 424.050 | − | 235.380i | 1.13080 | − | 0.627681i | ||||
\(376\) | −202.499 | − | 643.683i | −0.538562 | − | 1.71192i | ||||
\(377\) | 397.672i | 1.05483i | ||||||||
\(378\) | −172.661 | − | 106.550i | −0.456776 | − | 0.281878i | ||||
\(379\) | 69.9553 | + | 168.887i | 0.184579 | + | 0.445612i | 0.988900 | − | 0.148582i | \(-0.0474710\pi\) |
−0.804321 | + | 0.594194i | \(0.797471\pi\) | |||||||
\(380\) | −324.865 | + | 405.789i | −0.854907 | + | 1.06786i | ||||
\(381\) | −109.730 | + | 264.912i | −0.288006 | + | 0.695308i | ||||
\(382\) | 300.472 | + | 48.5523i | 0.786577 | + | 0.127100i | ||||
\(383\) | −112.605 | − | 112.605i | −0.294007 | − | 0.294007i | 0.544654 | − | 0.838661i | \(-0.316661\pi\) |
−0.838661 | + | 0.544654i | \(0.816661\pi\) | |||||||
\(384\) | 370.507 | + | 330.716i | 0.964862 | + | 0.861240i | ||||
\(385\) | 134.656 | − | 61.8717i | 0.349755 | − | 0.160706i | ||||
\(386\) | 281.613 | + | 390.163i | 0.729566 | + | 1.01078i | ||||
\(387\) | 146.236 | + | 353.045i | 0.377871 | + | 0.912262i | ||||
\(388\) | 446.462 | − | 223.983i | 1.15068 | − | 0.577276i | ||||
\(389\) | −274.982 | − | 663.865i | −0.706894 | − | 1.70659i | −0.707619 | − | 0.706594i | \(-0.750231\pi\) |
0.000724941 | − | 1.00000i | \(-0.499769\pi\) | |||||||
\(390\) | 254.016 | + | 325.137i | 0.651322 | + | 0.833685i | ||||
\(391\) | −55.6086 | + | 55.6086i | −0.142221 | + | 0.142221i | ||||
\(392\) | 211.251 | + | 110.142i | 0.538905 | + | 0.280975i | ||||
\(393\) | 26.8404i | 0.0682961i | ||||||||
\(394\) | 192.156 | − | 311.383i | 0.487705 | − | 0.790313i | ||||
\(395\) | 704.639 | − | 26.7970i | 1.78390 | − | 0.0678405i | ||||
\(396\) | 61.1612 | + | 52.9006i | 0.154447 | + | 0.133587i | ||||
\(397\) | 18.2136 | − | 7.54430i | 0.0458780 | − | 0.0190033i | −0.359626 | − | 0.933096i | \(-0.617096\pi\) |
0.405504 | + | 0.914093i | \(0.367096\pi\) | |||||||
\(398\) | −78.4398 | − | 108.675i | −0.197085 | − | 0.273053i | ||||
\(399\) | −895.058 | −2.24325 | ||||||||
\(400\) | 337.881 | + | 214.094i | 0.844703 | + | 0.535235i | ||||
\(401\) | 265.367i | 0.661763i | 0.943672 | + | 0.330882i | \(0.107346\pi\) | ||||
−0.943672 | + | 0.330882i | \(0.892654\pi\) | |||||||
\(402\) | −323.136 | − | 447.692i | −0.803822 | − | 1.11366i | ||||
\(403\) | −105.825 | − | 255.483i | −0.262592 | − | 0.633954i | ||||
\(404\) | −102.637 | + | 7.43310i | −0.254051 | + | 0.0183988i | ||||
\(405\) | −18.7795 | − | 493.815i | −0.0463691 | − | 1.21930i | ||||
\(406\) | −348.622 | + | 564.932i | −0.858674 | + | 1.39146i | ||||
\(407\) | −50.1342 | −0.123180 | ||||||||
\(408\) | −155.478 | − | 185.532i | −0.381073 | − | 0.454736i | ||||
\(409\) | −219.999 | − | 219.999i | −0.537895 | − | 0.537895i | 0.385015 | − | 0.922910i | \(-0.374196\pi\) |
−0.922910 | + | 0.385015i | \(0.874196\pi\) | |||||||
\(410\) | −177.705 | − | 227.461i | −0.433428 | − | 0.554783i | ||||
\(411\) | 268.212 | − | 111.097i | 0.652584 | − | 0.270309i | ||||
\(412\) | −558.680 | − | 185.391i | −1.35602 | − | 0.449978i | ||||
\(413\) | 4.09708 | − | 1.69706i | 0.00992028 | − | 0.00410911i | ||||
\(414\) | 71.4628 | + | 99.0088i | 0.172616 | + | 0.239152i | ||||
\(415\) | 245.302 | + | 533.867i | 0.591088 | + | 1.28643i | ||||
\(416\) | −135.115 | + | 312.316i | −0.324796 | + | 0.750758i | ||||
\(417\) | −340.172 | + | 340.172i | −0.815760 | + | 0.815760i | ||||
\(418\) | −171.351 | − | 27.6881i | −0.409932 | − | 0.0662395i | ||||
\(419\) | 513.796 | + | 212.821i | 1.22624 | + | 0.507926i | 0.899389 | − | 0.437149i | \(-0.144012\pi\) |
0.326853 | + | 0.945075i | \(0.394012\pi\) | |||||||
\(420\) | 75.8206 | + | 684.573i | 0.180525 | + | 1.62994i | ||||
\(421\) | 512.490 | − | 212.280i | 1.21732 | − | 0.504229i | 0.320760 | − | 0.947160i | \(-0.396062\pi\) |
0.896555 | + | 0.442932i | \(0.146062\pi\) | |||||||
\(422\) | 133.115 | + | 82.1455i | 0.315437 | + | 0.194658i | ||||
\(423\) | 510.664 | 1.20724 | ||||||||
\(424\) | −563.866 | + | 472.525i | −1.32987 | + | 1.11444i | ||||
\(425\) | −147.932 | − | 126.991i | −0.348076 | − | 0.298803i | ||||
\(426\) | −68.5884 | + | 111.146i | −0.161006 | + | 0.260905i | ||||
\(427\) | −184.468 | − | 76.4093i | −0.432011 | − | 0.178945i | ||||
\(428\) | 294.047 | + | 254.332i | 0.687025 | + | 0.594235i | ||||
\(429\) | −52.7241 | + | 127.287i | −0.122900 | + | 0.296707i | ||||
\(430\) | −310.819 | + | 549.348i | −0.722835 | + | 1.27755i | ||||
\(431\) | 16.0934i | 0.0373397i | 0.999826 | + | 0.0186698i | \(0.00594314\pi\) | ||||
−0.999826 | + | 0.0186698i | \(0.994057\pi\) | |||||||
\(432\) | 157.104 | − | 93.5952i | 0.363668 | − | 0.216656i | ||||
\(433\) | −36.1099 | + | 36.1099i | −0.0833947 | + | 0.0833947i | −0.747574 | − | 0.664179i | \(-0.768781\pi\) |
0.664179 | + | 0.747574i | \(0.268781\pi\) | |||||||
\(434\) | 73.6367 | − | 455.711i | 0.169670 | − | 1.05002i | ||||
\(435\) | −724.957 | + | 27.5697i | −1.66657 | + | 0.0633786i | ||||
\(436\) | −345.142 | + | 399.036i | −0.791609 | + | 0.915220i | ||||
\(437\) | −242.144 | − | 100.299i | −0.554104 | − | 0.229517i | ||||
\(438\) | −204.098 | − | 861.979i | −0.465978 | − | 1.96799i | ||||
\(439\) | −271.029 | + | 271.029i | −0.617379 | + | 0.617379i | −0.944858 | − | 0.327480i | \(-0.893801\pi\) |
0.327480 | + | 0.944858i | \(0.393801\pi\) | |||||||
\(440\) | −6.66165 | + | 133.401i | −0.0151401 | + | 0.303185i | ||||
\(441\) | −127.488 | + | 127.488i | −0.289089 | + | 0.289089i | ||||
\(442\) | 87.1028 | − | 141.148i | 0.197065 | − | 0.319339i | ||||
\(443\) | 281.332 | + | 116.532i | 0.635061 | + | 0.263051i | 0.676902 | − | 0.736073i | \(-0.263322\pi\) |
−0.0418406 | + | 0.999124i | \(0.513322\pi\) | |||||||
\(444\) | 73.3879 | − | 221.156i | 0.165288 | − | 0.498099i | ||||
\(445\) | 331.279 | + | 307.006i | 0.744447 | + | 0.689900i | ||||
\(446\) | 137.476 | + | 190.467i | 0.308242 | + | 0.427056i | ||||
\(447\) | 124.078 | − | 124.078i | 0.277580 | − | 0.277580i | ||||
\(448\) | −465.737 | + | 325.225i | −1.03959 | + | 0.725949i | ||||
\(449\) | 309.140i | 0.688509i | 0.938876 | + | 0.344254i | \(0.111868\pi\) | ||||
−0.938876 | + | 0.344254i | \(0.888132\pi\) | |||||||
\(450\) | −231.290 | + | 195.295i | −0.513977 | + | 0.433988i | ||||
\(451\) | 36.8849 | − | 89.0481i | 0.0817848 | − | 0.197446i | ||||
\(452\) | 240.770 | − | 120.791i | 0.532677 | − | 0.267236i | ||||
\(453\) | 329.938 | + | 136.665i | 0.728339 | + | 0.301688i | ||||
\(454\) | 165.294 | + | 698.094i | 0.364084 | + | 1.53765i | ||||
\(455\) | −428.828 | + | 197.038i | −0.942478 | + | 0.433051i | ||||
\(456\) | 372.969 | − | 715.348i | 0.817914 | − | 1.56875i | ||||
\(457\) | −696.544 | −1.52417 | −0.762084 | − | 0.647479i | \(-0.775824\pi\) | ||||
−0.762084 | + | 0.647479i | \(0.775824\pi\) | |||||||
\(458\) | 105.452 | + | 445.359i | 0.230244 | + | 0.972400i | ||||
\(459\) | −82.3482 | + | 34.1097i | −0.179408 | + | 0.0743131i | ||||
\(460\) | −56.2004 | + | 193.697i | −0.122175 | + | 0.421080i | ||||
\(461\) | 265.896 | + | 110.138i | 0.576782 | + | 0.238911i | 0.651952 | − | 0.758260i | \(-0.273950\pi\) |
−0.0751707 | + | 0.997171i | \(0.523950\pi\) | |||||||
\(462\) | −186.487 | + | 134.603i | −0.403651 | + | 0.291348i | ||||
\(463\) | −74.0163 | + | 74.0163i | −0.159862 | + | 0.159862i | −0.782506 | − | 0.622643i | \(-0.786059\pi\) |
0.622643 | + | 0.782506i | \(0.286059\pi\) | |||||||
\(464\) | −306.235 | − | 514.031i | −0.659989 | − | 1.10783i | ||||
\(465\) | 458.410 | − | 210.630i | 0.985827 | − | 0.452969i | ||||
\(466\) | −1.22144 | + | 7.55907i | −0.00262113 | + | 0.0162212i | ||||
\(467\) | 191.592 | − | 79.3599i | 0.410261 | − | 0.169936i | −0.168001 | − | 0.985787i | \(-0.553731\pi\) |
0.578262 | + | 0.815851i | \(0.303731\pi\) | |||||||
\(468\) | −194.775 | − | 168.469i | −0.416186 | − | 0.359976i | ||||
\(469\) | 583.449 | − | 241.673i | 1.24403 | − | 0.515293i | ||||
\(470\) | 519.286 | + | 664.680i | 1.10486 | + | 1.41421i | ||||
\(471\) | 663.708 | + | 663.708i | 1.40915 | + | 1.40915i | ||||
\(472\) | −0.350916 | + | 3.98163i | −0.000743465 | + | 0.00843565i | ||||
\(473\) | −210.764 | −0.445589 | ||||||||
\(474\) | −1064.94 | + | 252.155i | −2.24671 | + | 0.531973i | ||||
\(475\) | 202.342 | − | 617.452i | 0.425984 | − | 1.29990i | ||||
\(476\) | 247.476 | − | 124.155i | 0.519908 | − | 0.260830i | ||||
\(477\) | −213.058 | − | 514.368i | −0.446663 | − | 1.07834i | ||||
\(478\) | 614.582 | + | 99.3082i | 1.28574 | + | 0.207758i | ||||
\(479\) | − | 154.993i | − | 0.323576i | −0.986826 | − | 0.161788i | \(-0.948274\pi\) | ||
0.986826 | − | 0.161788i | \(-0.0517261\pi\) | |||||||
\(480\) | −578.719 | − | 224.663i | −1.20566 | − | 0.468048i | ||||
\(481\) | 159.659 | 0.331930 | ||||||||
\(482\) | −86.1065 | + | 532.881i | −0.178644 | + | 1.10556i | ||||
\(483\) | −320.846 | + | 132.899i | −0.664277 | + | 0.275153i | ||||
\(484\) | 392.746 | − | 197.034i | 0.811458 | − | 0.407096i | ||||
\(485\) | −424.400 | + | 457.956i | −0.875052 | + | 0.944239i | ||||
\(486\) | 129.310 | + | 546.120i | 0.266069 | + | 1.12370i | ||||
\(487\) | − | 499.709i | − | 1.02610i | −0.858360 | − | 0.513048i | \(-0.828516\pi\) | ||
0.858360 | − | 0.513048i | \(-0.171484\pi\) | |||||||
\(488\) | 137.935 | − | 115.591i | 0.282655 | − | 0.236867i | ||||
\(489\) | 634.339 | − | 634.339i | 1.29722 | − | 1.29722i | ||||
\(490\) | −295.579 | − | 36.2979i | −0.603223 | − | 0.0740773i | ||||
\(491\) | −179.073 | − | 432.321i | −0.364711 | − | 0.880491i | −0.994598 | − | 0.103804i | \(-0.966899\pi\) |
0.629887 | − | 0.776687i | \(-0.283101\pi\) | |||||||
\(492\) | 338.823 | + | 293.061i | 0.688664 | + | 0.595652i | ||||
\(493\) | 111.604 | + | 269.436i | 0.226377 | + | 0.546523i | ||||
\(494\) | 545.690 | + | 88.1761i | 1.10463 | + | 0.178494i | ||||
\(495\) | −94.7896 | − | 35.1053i | −0.191494 | − | 0.0709199i | ||||
\(496\) | 333.529 | + | 248.746i | 0.672437 | + | 0.501503i | ||||
\(497\) | −105.632 | − | 105.632i | −0.212539 | − | 0.212539i | ||||
\(498\) | −533.658 | − | 739.360i | −1.07160 | − | 1.48466i | ||||
\(499\) | 188.693 | − | 455.545i | 0.378142 | − | 0.912915i | −0.614172 | − | 0.789172i | \(-0.710510\pi\) |
0.992314 | − | 0.123743i | \(-0.0394899\pi\) | |||||||
\(500\) | −489.391 | − | 102.454i | −0.978781 | − | 0.204909i | ||||
\(501\) | −145.735 | − | 351.834i | −0.290887 | − | 0.702264i | ||||
\(502\) | 67.7687 | − | 16.0462i | 0.134997 | − | 0.0319646i | ||||
\(503\) | − | 661.195i | − | 1.31450i | −0.753671 | − | 0.657251i | \(-0.771719\pi\) | ||
0.753671 | − | 0.657251i | \(-0.228281\pi\) | |||||||
\(504\) | −129.008 | − | 410.077i | −0.255969 | − | 0.813645i | ||||
\(505\) | 116.884 | − | 53.7059i | 0.231453 | − | 0.106348i | ||||
\(506\) | −65.5344 | + | 15.5172i | −0.129515 | + | 0.0306663i | ||||
\(507\) | −83.0257 | + | 200.442i | −0.163759 | + | 0.395348i | ||||
\(508\) | 264.222 | − | 132.556i | 0.520123 | − | 0.260938i | ||||
\(509\) | −23.9436 | − | 9.91776i | −0.0470405 | − | 0.0194848i | 0.359039 | − | 0.933322i | \(-0.383104\pi\) |
−0.406080 | + | 0.913838i | \(0.633104\pi\) | |||||||
\(510\) | 263.351 | + | 149.003i | 0.516375 | + | 0.292163i | ||||
\(511\) | 1013.19 | 1.98276 | ||||||||
\(512\) | −65.8545 | − | 507.747i | −0.128622 | − | 0.991694i | ||||
\(513\) | −210.051 | − | 210.051i | −0.409456 | − | 0.409456i | ||||
\(514\) | 218.418 | − | 157.650i | 0.424937 | − | 0.306712i | ||||
\(515\) | 735.264 | − | 27.9617i | 1.42770 | − | 0.0542945i | ||||
\(516\) | 308.522 | − | 929.737i | 0.597910 | − | 1.80182i | ||||
\(517\) | −107.784 | + | 260.214i | −0.208480 | + | 0.503316i | ||||
\(518\) | 226.811 | + | 139.966i | 0.437858 | + | 0.270204i | ||||
\(519\) | −917.120 | − | 917.120i | −1.76709 | − | 1.76709i | ||||
\(520\) | 21.2149 | − | 424.833i | 0.0407978 | − | 0.816986i | ||||
\(521\) | −127.075 | − | 127.075i | −0.243906 | − | 0.243906i | 0.574558 | − | 0.818464i | \(-0.305174\pi\) |
−0.818464 | + | 0.574558i | \(0.805174\pi\) | |||||||
\(522\) | 440.628 | − | 104.331i | 0.844114 | − | 0.199869i | ||||
\(523\) | −123.072 | + | 297.122i | −0.235319 | + | 0.568110i | −0.996788 | − | 0.0800917i | \(-0.974479\pi\) |
0.761469 | + | 0.648202i | \(0.224479\pi\) | |||||||
\(524\) | 18.1017 | − | 20.9283i | 0.0345452 | − | 0.0399395i | ||||
\(525\) | −388.930 | − | 768.093i | −0.740819 | − | 1.46303i | ||||
\(526\) | −659.162 | − | 106.512i | −1.25316 | − | 0.202494i | ||||
\(527\) | −143.399 | − | 143.399i | −0.272105 | − | 0.272105i | ||||
\(528\) | −29.8687 | − | 205.133i | −0.0565695 | − | 0.388509i | ||||
\(529\) | 427.308 | 0.807765 | ||||||||
\(530\) | 452.846 | − | 800.370i | 0.854427 | − | 1.51013i | ||||
\(531\) | −2.79464 | − | 1.15758i | −0.00526298 | − | 0.00218000i | ||||
\(532\) | 697.905 | + | 603.645i | 1.31185 | + | 1.13467i | ||||
\(533\) | −117.465 | + | 283.585i | −0.220384 | + | 0.532054i | ||||
\(534\) | −596.533 | − | 368.123i | −1.11710 | − | 0.689369i | ||||
\(535\) | −455.723 | − | 168.777i | −0.851819 | − | 0.315472i | ||||
\(536\) | −49.9726 | + | 567.009i | −0.0932324 | + | 1.05785i | ||||
\(537\) | − | 283.134i | − | 0.527251i | ||||||
\(538\) | −339.522 | + | 550.186i | −0.631082 | + | 1.02265i | ||||
\(539\) | −38.0544 | − | 91.8714i | −0.0706018 | − | 0.170448i | ||||
\(540\) | −142.861 | + | 178.448i | −0.264558 | + | 0.330459i | ||||
\(541\) | −298.684 | + | 721.086i | −0.552095 | + | 1.33288i | 0.363807 | + | 0.931474i | \(0.381477\pi\) |
−0.915902 | + | 0.401401i | \(0.868523\pi\) | |||||||
\(542\) | −72.6544 | + | 449.631i | −0.134049 | + | 0.829578i | ||||
\(543\) | −38.8549 | − | 38.8549i | −0.0715560 | − | 0.0715560i | ||||
\(544\) | −3.89569 | + | 249.523i | −0.00716119 | + | 0.458682i | ||||
\(545\) | 229.039 | − | 618.439i | 0.420255 | − | 1.13475i | ||||
\(546\) | 593.890 | − | 428.660i | 1.08771 | − | 0.785091i | ||||
\(547\) | −40.2675 | − | 97.2144i | −0.0736152 | − | 0.177723i | 0.882789 | − | 0.469771i | \(-0.155663\pi\) |
−0.956404 | + | 0.292048i | \(0.905663\pi\) | |||||||
\(548\) | −284.059 | − | 94.2615i | −0.518356 | − | 0.172010i | ||||
\(549\) | 52.1193 | + | 125.827i | 0.0949351 | + | 0.229194i | ||||
\(550\) | −50.6969 | − | 159.076i | −0.0921762 | − | 0.289230i | ||||
\(551\) | −687.267 | + | 687.267i | −1.24731 | + | 1.24731i | ||||
\(552\) | 27.4805 | − | 311.805i | 0.0497836 | − | 0.564864i | ||||
\(553\) | − | 1251.75i | − | 2.26357i | ||||||
\(554\) | −531.350 | − | 327.898i | −0.959116 | − | 0.591874i | ||||
\(555\) | 11.0687 | + | 291.058i | 0.0199437 | + | 0.524428i | ||||
\(556\) | 494.661 | − | 35.8241i | 0.889678 | − | 0.0644318i | ||||
\(557\) | −78.0680 | + | 32.3368i | −0.140158 | + | 0.0580553i | −0.451660 | − | 0.892190i | \(-0.649168\pi\) |
0.311502 | + | 0.950246i | \(0.399168\pi\) | |||||||
\(558\) | −255.316 | + | 184.283i | −0.457556 | + | 0.330256i | ||||
\(559\) | 671.203 | 1.20072 | ||||||||
\(560\) | 402.570 | − | 584.918i | 0.718875 | − | 1.04450i | ||||
\(561\) | 101.038i | 0.180103i | ||||||||
\(562\) | −286.090 | + | 206.495i | −0.509057 | + | 0.367429i | ||||
\(563\) | 65.2347 | + | 157.491i | 0.115870 | + | 0.279734i | 0.971166 | − | 0.238405i | \(-0.0766247\pi\) |
−0.855296 | + | 0.518140i | \(0.826625\pi\) | |||||||
\(564\) | −990.100 | − | 856.375i | −1.75550 | − | 1.51840i | ||||
\(565\) | −228.872 | + | 246.968i | −0.405084 | + | 0.437112i | ||||
\(566\) | −245.970 | − | 151.789i | −0.434577 | − | 0.268179i | ||||
\(567\) | −877.234 | −1.54715 | ||||||||
\(568\) | 128.439 | − | 40.4064i | 0.226126 | − | 0.0711381i | ||||
\(569\) | −263.786 | − | 263.786i | −0.463596 | − | 0.463596i | 0.436236 | − | 0.899832i | \(-0.356311\pi\) |
−0.899832 | + | 0.436236i | \(0.856311\pi\) | |||||||
\(570\) | −122.914 | + | 1000.91i | −0.215638 | + | 1.75597i | ||||
\(571\) | −243.666 | + | 100.930i | −0.426735 | + | 0.176759i | −0.585705 | − | 0.810524i | \(-0.699182\pi\) |
0.158971 | + | 0.987283i | \(0.449182\pi\) | |||||||
\(572\) | 126.956 | − | 63.6917i | 0.221950 | − | 0.111349i | ||||
\(573\) | 545.527 | − | 225.965i | 0.952055 | − | 0.394354i | ||||
\(574\) | −415.476 | + | 299.884i | −0.723826 | + | 0.522445i | ||||
\(575\) | −19.1472 | − | 251.378i | −0.0332995 | − | 0.437179i | ||||
\(576\) | 381.499 | + | 67.7723i | 0.662325 | + | 0.117660i | ||||
\(577\) | −365.350 | + | 365.350i | −0.633189 | + | 0.633189i | −0.948866 | − | 0.315678i | \(-0.897768\pi\) |
0.315678 | + | 0.948866i | \(0.397768\pi\) | |||||||
\(578\) | −72.7983 | + | 450.522i | −0.125949 | + | 0.779450i | ||||
\(579\) | 862.424 | + | 357.228i | 1.48951 | + | 0.616974i | ||||
\(580\) | 583.865 | + | 467.428i | 1.00666 | + | 0.805911i | ||||
\(581\) | 963.563 | − | 399.121i | 1.65846 | − | 0.686955i | ||||
\(582\) | 508.888 | − | 824.640i | 0.874378 | − | 1.41691i | ||||
\(583\) | 307.071 | 0.526709 | ||||||||
\(584\) | −422.193 | + | 809.760i | −0.722934 | + | 1.38657i | ||||
\(585\) | 301.869 | + | 111.797i | 0.516015 | + | 0.191106i | ||||
\(586\) | −237.228 | − | 146.394i | −0.404826 | − | 0.249820i | ||||
\(587\) | 823.854 | + | 341.252i | 1.40350 | + | 0.581348i | 0.950657 | − | 0.310243i | \(-0.100410\pi\) |
0.452842 | + | 0.891591i | \(0.350410\pi\) | |||||||
\(588\) | 460.975 | − | 33.3845i | 0.783972 | − | 0.0567764i | ||||
\(589\) | 258.644 | − | 624.421i | 0.439123 | − | 1.06014i | ||||
\(590\) | −1.33512 | − | 4.81464i | −0.00226292 | − | 0.00816040i | ||||
\(591\) | − | 709.844i | − | 1.20109i | ||||||
\(592\) | −206.375 | + | 122.948i | −0.348606 | + | 0.207683i | ||||
\(593\) | −584.562 | + | 584.562i | −0.985771 | + | 0.985771i | −0.999900 | − | 0.0141296i | \(-0.995502\pi\) |
0.0141296 | + | 0.999900i | \(0.495502\pi\) | |||||||
\(594\) | −75.3528 | − | 12.1760i | −0.126857 | − | 0.0204983i | ||||
\(595\) | −235.247 | + | 253.847i | −0.395373 | + | 0.426634i | ||||
\(596\) | −180.428 | + | 13.0669i | −0.302732 | + | 0.0219243i | ||||
\(597\) | −240.218 | − | 99.5015i | −0.402375 | − | 0.166669i | ||||
\(598\) | 208.702 | − | 49.4163i | 0.349001 | − | 0.0826360i | ||||
\(599\) | 119.325 | − | 119.325i | 0.199207 | − | 0.199207i | −0.600453 | − | 0.799660i | \(-0.705013\pi\) |
0.799660 | + | 0.600453i | \(0.205013\pi\) | |||||||
\(600\) | 775.941 | + | 9.22206i | 1.29324 | + | 0.0153701i | ||||
\(601\) | −221.624 | + | 221.624i | −0.368758 | + | 0.368758i | −0.867024 | − | 0.498266i | \(-0.833970\pi\) |
0.498266 | + | 0.867024i | \(0.333970\pi\) | |||||||
\(602\) | 953.509 | + | 588.414i | 1.58390 | + | 0.977432i | ||||
\(603\) | −397.975 | − | 164.847i | −0.659992 | − | 0.273377i | ||||
\(604\) | −165.093 | − | 329.078i | −0.273334 | − | 0.544831i | ||||
\(605\) | −373.338 | + | 402.856i | −0.617088 | + | 0.665878i | ||||
\(606\) | −161.874 | + | 116.838i | −0.267119 | + | 0.192802i | ||||
\(607\) | −87.8991 | + | 87.8991i | −0.144809 | + | 0.144809i | −0.775795 | − | 0.630986i | \(-0.782651\pi\) |
0.630986 | + | 0.775795i | \(0.282651\pi\) | |||||||
\(608\) | −773.260 | + | 306.242i | −1.27181 | + | 0.503687i | ||||
\(609\) | 1287.85i | 2.11469i | ||||||||
\(610\) | −110.777 | + | 195.790i | −0.181602 | + | 0.320968i | ||||
\(611\) | 343.252 | − | 828.684i | 0.561787 | − | 1.35627i | ||||
\(612\) | −179.246 | − | 59.4805i | −0.292886 | − | 0.0971904i | ||||
\(613\) | −113.925 | − | 47.1894i | −0.185849 | − | 0.0769811i | 0.287818 | − | 0.957685i | \(-0.407070\pi\) |
−0.473667 | + | 0.880704i | \(0.657070\pi\) | |||||||
\(614\) | −154.113 | + | 36.4908i | −0.250999 | + | 0.0594312i | ||||
\(615\) | −525.119 | − | 194.478i | −0.853852 | − | 0.316224i | ||||
\(616\) | 236.188 | + | 20.8162i | 0.383423 | + | 0.0337925i | ||||
\(617\) | −107.384 | −0.174042 | −0.0870208 | − | 0.996206i | \(-0.527735\pi\) | ||||
−0.0870208 | + | 0.996206i | \(0.527735\pi\) | |||||||
\(618\) | −1111.22 | + | 263.115i | −1.79810 | + | 0.425752i | ||||
\(619\) | 202.142 | − | 83.7301i | 0.326563 | − | 0.135267i | −0.213378 | − | 0.976970i | \(-0.568447\pi\) |
0.539941 | + | 0.841703i | \(0.318447\pi\) | |||||||
\(620\) | −499.490 | − | 144.925i | −0.805629 | − | 0.233750i | ||||
\(621\) | −106.484 | − | 44.1071i | −0.171472 | − | 0.0710260i | ||||
\(622\) | −398.782 | − | 552.496i | −0.641128 | − | 0.888257i | ||||
\(623\) | 566.939 | − | 566.939i | 0.910014 | − | 0.910014i | ||||
\(624\) | 95.1205 | + | 653.270i | 0.152437 | + | 1.04691i | ||||
\(625\) | 617.790 | − | 94.6620i | 0.988464 | − | 0.151459i | ||||
\(626\) | −683.678 | − | 110.473i | −1.09214 | − | 0.176475i | ||||
\(627\) | −311.100 | + | 128.862i | −0.496172 | + | 0.205521i | ||||
\(628\) | −69.8963 | − | 965.132i | −0.111300 | − | 1.53683i | ||||
\(629\) | 108.174 | − | 44.8070i | 0.171977 | − | 0.0712354i | ||||
\(630\) | 330.827 | + | 423.454i | 0.525122 | + | 0.672150i | ||||
\(631\) | 1.70331 | + | 1.70331i | 0.00269939 | + | 0.00269939i | 0.708455 | − | 0.705756i | \(-0.249392\pi\) |
−0.705756 | + | 0.708455i | \(0.749392\pi\) | |||||||
\(632\) | 1000.42 | + | 521.602i | 1.58295 | + | 0.825320i | ||||
\(633\) | 303.454 | 0.479391 | ||||||||
\(634\) | −121.386 | − | 512.654i | −0.191460 | − | 0.808603i | ||||
\(635\) | −251.166 | + | 271.024i | −0.395537 | + | 0.426810i | ||||
\(636\) | −449.500 | + | 1354.58i | −0.706761 | + | 2.12984i | ||||
\(637\) | 121.189 | + | 292.576i | 0.190249 | + | 0.459303i | ||||
\(638\) | −39.8388 | + | 246.547i | −0.0624432 | + | 0.386438i | ||||
\(639\) | 101.897i | 0.159463i | ||||||||
\(640\) | 299.728 | + | 565.476i | 0.468325 | + | 0.883556i | ||||
\(641\) | 443.222 | 0.691453 | 0.345727 | − | 0.938335i | \(-0.387632\pi\) | ||||
0.345727 | + | 0.938335i | \(0.387632\pi\) | |||||||
\(642\) | 744.568 | + | 120.312i | 1.15976 | + | 0.187402i | ||||
\(643\) | −974.042 | + | 403.461i | −1.51484 | + | 0.627467i | −0.976550 | − | 0.215292i | \(-0.930930\pi\) |
−0.538290 | + | 0.842759i | \(0.680930\pi\) | |||||||
\(644\) | 339.803 | + | 112.759i | 0.527645 | + | 0.175092i | ||||
\(645\) | 46.5329 | + | 1223.60i | 0.0721440 | + | 1.89706i | ||||
\(646\) | 394.468 | − | 93.4018i | 0.610632 | − | 0.144585i | ||||
\(647\) | − | 618.282i | − | 0.955614i | −0.878465 | − | 0.477807i | \(-0.841432\pi\) | ||
0.878465 | − | 0.477807i | \(-0.158568\pi\) | |||||||
\(648\) | 365.542 | − | 701.103i | 0.564108 | − | 1.08195i | ||||
\(649\) | 1.17971 | − | 1.17971i | 0.00181774 | − | 0.00181774i | ||||
\(650\) | 161.451 | + | 506.598i | 0.248386 | + | 0.779381i | ||||
\(651\) | −342.709 | − | 827.372i | −0.526435 | − | 1.27093i | ||||
\(652\) | −922.424 | + | 66.8033i | −1.41476 | + | 0.102459i | ||||
\(653\) | −275.699 | − | 665.596i | −0.422203 | − | 1.01929i | −0.981696 | − | 0.190454i | \(-0.939004\pi\) |
0.559493 | − | 0.828835i | \(-0.310996\pi\) | |||||||
\(654\) | −163.270 | + | 1010.42i | −0.249648 | + | 1.54498i | ||||
\(655\) | −12.0124 | + | 32.4353i | −0.0183396 | + | 0.0495196i | ||||
\(656\) | −66.5448 | − | 457.018i | −0.101440 | − | 0.696673i | ||||
\(657\) | −488.683 | − | 488.683i | −0.743810 | − | 0.743810i | ||||
\(658\) | 1214.09 | − | 876.312i | 1.84513 | − | 1.33178i | ||||
\(659\) | 184.851 | − | 446.271i | 0.280503 | − | 0.677194i | −0.719345 | − | 0.694653i | \(-0.755558\pi\) |
0.999848 | + | 0.0174593i | \(0.00555774\pi\) | |||||||
\(660\) | 124.911 | + | 227.025i | 0.189260 | + | 0.343977i | ||||
\(661\) | 104.204 | + | 251.570i | 0.157646 | + | 0.380591i | 0.982892 | − | 0.184182i | \(-0.0589637\pi\) |
−0.825246 | + | 0.564773i | \(0.808964\pi\) | |||||||
\(662\) | −119.402 | − | 504.277i | −0.180366 | − | 0.761747i | ||||
\(663\) | − | 321.767i | − | 0.485320i | ||||||
\(664\) | −82.5294 | + | 936.411i | −0.124291 | + | 1.41026i | ||||
\(665\) | −1081.64 | − | 400.584i | −1.62652 | − | 0.602382i | ||||
\(666\) | −41.8872 | − | 176.904i | −0.0628938 | − | 0.265622i | ||||
\(667\) | −144.314 | + | 348.406i | −0.216364 | + | 0.522348i | ||||
\(668\) | −123.650 | + | 372.623i | −0.185105 | + | 0.557818i | ||||
\(669\) | 421.013 | + | 174.389i | 0.629316 | + | 0.260671i | ||||
\(670\) | −190.130 | − | 685.634i | −0.283776 | − | 1.02333i | ||||
\(671\) | −75.1173 | −0.111948 | ||||||||
\(672\) | −437.565 | + | 1011.42i | −0.651139 | + | 1.50509i | ||||
\(673\) | 550.302 | + | 550.302i | 0.817685 | + | 0.817685i | 0.985772 | − | 0.168088i | \(-0.0537591\pi\) |
−0.168088 | + | 0.985772i | \(0.553759\pi\) | |||||||
\(674\) | 481.177 | + | 666.650i | 0.713912 | + | 0.989095i | ||||
\(675\) | 88.9813 | − | 271.528i | 0.131824 | − | 0.402264i | ||||
\(676\) | 199.919 | − | 100.297i | 0.295739 | − | 0.148368i | ||||
\(677\) | 64.1827 | − | 154.951i | 0.0948045 | − | 0.228878i | −0.869362 | − | 0.494175i | \(-0.835470\pi\) |
0.964167 | + | 0.265297i | \(0.0854700\pi\) | |||||||
\(678\) | 274.435 | − | 444.715i | 0.404772 | − | 0.655922i | ||||
\(679\) | 783.728 | + | 783.728i | 1.15424 | + | 1.15424i | ||||
\(680\) | −104.853 | − | 293.792i | −0.154195 | − | 0.432046i | ||||
\(681\) | 984.110 | + | 984.110i | 1.44510 | + | 1.44510i | ||||
\(682\) | −40.0145 | − | 168.995i | −0.0586722 | − | 0.247793i | ||||
\(683\) | −400.375 | + | 966.591i | −0.586201 | + | 1.41521i | 0.300907 | + | 0.953653i | \(0.402710\pi\) |
−0.887108 | + | 0.461561i | \(0.847290\pi\) | |||||||
\(684\) | −45.4638 | − | 627.767i | −0.0664676 | − | 0.917788i | ||||
\(685\) | 373.843 | − | 14.2170i | 0.545756 | − | 0.0207548i | ||||
\(686\) | 54.4252 | − | 336.818i | 0.0793371 | − | 0.490988i | ||||
\(687\) | 627.827 | + | 627.827i | 0.913868 | + | 0.913868i | ||||
\(688\) | −867.597 | + | 516.872i | −1.26104 | + | 0.751268i | ||||
\(689\) | −977.907 | −1.41931 | ||||||||
\(690\) | 104.555 | + | 377.039i | 0.151529 | + | 0.546433i | ||||
\(691\) | −875.370 | − | 362.590i | −1.26682 | − | 0.524732i | −0.354821 | − | 0.934934i | \(-0.615458\pi\) |
−0.911995 | + | 0.410202i | \(0.865458\pi\) | |||||||
\(692\) | 96.5835 | + | 1333.63i | 0.139572 | + | 1.92721i | ||||
\(693\) | −68.6671 | + | 165.777i | −0.0990867 | + | 0.239217i | ||||
\(694\) | 637.870 | − | 1033.65i | 0.919122 | − | 1.48941i | ||||
\(695\) | −563.326 | + | 258.837i | −0.810541 | + | 0.372428i | ||||
\(696\) | −1029.27 | − | 536.643i | −1.47884 | − | 0.771038i | ||||
\(697\) | 225.103i | 0.322960i | ||||||||
\(698\) | 501.218 | + | 309.304i | 0.718078 | + | 0.443129i | ||||
\(699\) | 5.68466 | + | 13.7240i | 0.00813257 | + | 0.0196338i | ||||
\(700\) | −214.756 | + | 861.208i | −0.306794 | + | 1.23030i | ||||
\(701\) | 303.319 | − | 732.276i | 0.432694 | − | 1.04462i | −0.545721 | − | 0.837967i | \(-0.683744\pi\) |
0.978415 | − | 0.206650i | \(-0.0662560\pi\) | |||||||
\(702\) | 239.970 | + | 38.7760i | 0.341838 | + | 0.0552364i | ||||
\(703\) | 275.926 | + | 275.926i | 0.392497 | + | 0.392497i | ||||
\(704\) | −115.056 | + | 180.092i | −0.163432 | + | 0.255813i | ||||
\(705\) | 1534.49 | + | 568.298i | 2.17658 | + | 0.806097i | ||||
\(706\) | 139.905 | + | 193.833i | 0.198166 | + | 0.274550i | ||||
\(707\) | −87.3828 | − | 210.961i | −0.123597 | − | 0.298389i | ||||
\(708\) | 3.47715 | + | 6.93094i | 0.00491123 | + | 0.00978947i | ||||
\(709\) | −328.033 | − | 791.941i | −0.462670 | − | 1.11698i | −0.967297 | − | 0.253646i | \(-0.918370\pi\) |
0.504627 | − | 0.863337i | \(-0.331630\pi\) | |||||||
\(710\) | −132.629 | + | 103.618i | −0.186802 | + | 0.145940i | ||||
\(711\) | −603.748 | + | 603.748i | −0.849153 | + | 0.849153i | ||||
\(712\) | 216.866 | + | 689.351i | 0.304588 | + | 0.968189i | ||||
\(713\) | − | 262.236i | − | 0.367792i | ||||||
\(714\) | 282.079 | − | 457.101i | 0.395069 | − | 0.640198i | ||||
\(715\) | −120.682 | + | 130.224i | −0.168786 | + | 0.182131i | ||||
\(716\) | −190.951 | + | 220.768i | −0.266691 | + | 0.308335i | ||||
\(717\) | 1115.81 | − | 462.185i | 1.55623 | − | 0.644610i | ||||
\(718\) | −254.364 | − | 352.410i | −0.354267 | − | 0.490822i | ||||
\(719\) | 824.218 | 1.14634 | 0.573169 | − | 0.819437i | \(-0.305714\pi\) | ||||
0.573169 | + | 0.819437i | \(0.305714\pi\) | |||||||
\(720\) | −476.288 | + | 87.9506i | −0.661511 | + | 0.122154i | ||||
\(721\) | − | 1306.16i | − | 1.81159i | ||||||
\(722\) | 368.130 | + | 510.029i | 0.509876 | + | 0.706412i | ||||
\(723\) | 400.744 | + | 967.481i | 0.554279 | + | 1.33815i | ||||
\(724\) | 4.09188 | + | 56.5009i | 0.00565177 | + | 0.0780399i | ||||
\(725\) | −888.415 | − | 291.139i | −1.22540 | − | 0.401570i | ||||
\(726\) | 447.661 | − | 725.422i | 0.616613 | − | 0.999204i | ||||
\(727\) | −426.182 | −0.586220 | −0.293110 | − | 0.956079i | \(-0.594690\pi\) | ||||
−0.293110 | + | 0.956079i | \(0.594690\pi\) | |||||||
\(728\) | −752.171 | − | 66.2916i | −1.03320 | − | 0.0910599i | ||||
\(729\) | 140.893 | + | 140.893i | 0.193269 | + | 0.193269i | ||||
\(730\) | 139.136 | − | 1133.01i | 0.190597 | − | 1.55206i | ||||
\(731\) | 454.761 | − | 188.368i | 0.622108 | − | 0.257686i | ||||
\(732\) | 109.959 | − | 331.363i | 0.150217 | − | 0.452682i | ||||
\(733\) | −618.543 | + | 256.209i | −0.843852 | + | 0.349535i | −0.762371 | − | 0.647140i | \(-0.775965\pi\) |
−0.0814807 | + | 0.996675i | \(0.525965\pi\) | |||||||
\(734\) | 89.6415 | + | 124.195i | 0.122127 | + | 0.169202i | ||||
\(735\) | −524.964 | + | 241.211i | −0.714237 | + | 0.328178i | ||||
\(736\) | −231.715 | + | 224.591i | −0.314830 | + | 0.305150i | ||||
\(737\) | 167.999 | − | 167.999i | 0.227949 | − | 0.227949i | ||||
\(738\) | 345.034 | + | 55.7529i | 0.467526 | + | 0.0755459i | ||||
\(739\) | 110.689 | + | 45.8487i | 0.149782 | + | 0.0620415i | 0.456315 | − | 0.889818i | \(-0.349169\pi\) |
−0.306533 | + | 0.951860i | \(0.599169\pi\) | |||||||
\(740\) | 187.664 | − | 234.412i | 0.253600 | − | 0.316773i | ||||
\(741\) | 990.735 | − | 410.376i | 1.33702 | − | 0.553814i | ||||
\(742\) | −1389.21 | − | 857.288i | −1.87225 | − | 1.15537i | ||||
\(743\) | 16.3909 | 0.0220604 | 0.0110302 | − | 0.999939i | \(-0.496489\pi\) | ||||
0.0110302 | + | 0.999939i | \(0.496489\pi\) | |||||||
\(744\) | 804.058 | + | 70.8647i | 1.08072 | + | 0.0952482i | ||||
\(745\) | 205.474 | − | 94.4113i | 0.275804 | − | 0.126727i | ||||
\(746\) | 658.124 | − | 1066.47i | 0.882204 | − | 1.42959i | ||||
\(747\) | −657.253 | − | 272.243i | −0.879857 | − | 0.364449i | ||||
\(748\) | 68.1418 | − | 78.7823i | 0.0910987 | − | 0.105324i | ||||
\(749\) | −330.133 | + | 797.013i | −0.440766 | + | 1.06410i | ||||
\(750\) | −912.336 | + | 329.446i | −1.21645 | + | 0.439261i | ||||
\(751\) | 562.050i | 0.748402i | 0.927348 | + | 0.374201i | \(0.122083\pi\) | ||||
−0.927348 | + | 0.374201i | \(0.877917\pi\) | |||||||
\(752\) | 194.456 | + | 1335.49i | 0.258585 | + | 1.77591i | ||||
\(753\) | 95.5342 | − | 95.5342i | 0.126871 | − | 0.126871i | ||||
\(754\) | 126.871 | − | 785.160i | 0.168264 | − | 1.04133i | ||||
\(755\) | 337.550 | + | 312.817i | 0.447086 | + | 0.414327i | ||||
\(756\) | 306.908 | + | 265.456i | 0.405963 | + | 0.351133i | ||||
\(757\) | 267.249 | + | 110.698i | 0.353037 | + | 0.146233i | 0.552152 | − | 0.833743i | \(-0.313807\pi\) |
−0.199115 | + | 0.979976i | \(0.563807\pi\) | |||||||
\(758\) | −84.2382 | − | 355.767i | −0.111132 | − | 0.469350i | ||||
\(759\) | −92.3845 | + | 92.3845i | −0.121719 | + | 0.121719i | ||||
\(760\) | 770.870 | − | 697.542i | 1.01430 | − | 0.917819i | ||||
\(761\) | −270.122 | + | 270.122i | −0.354957 | + | 0.354957i | −0.861950 | − | 0.506993i | \(-0.830757\pi\) |
0.506993 | + | 0.861950i | \(0.330757\pi\) | |||||||
\(762\) | 301.167 | − | 488.033i | 0.395232 | − | 0.640463i | ||||
\(763\) | −1081.59 | − | 448.007i | −1.41754 | − | 0.587166i | ||||
\(764\) | −577.760 | − | 191.722i | −0.756230 | − | 0.250946i | ||||
\(765\) | 235.901 | − | 8.97117i | 0.308367 | − | 0.0117270i | ||||
\(766\) | 186.401 | + | 258.250i | 0.243343 | + | 0.337141i | ||||
\(767\) | −3.75694 | + | 3.75694i | −0.00489823 | + | 0.00489823i | ||||
\(768\) | −626.016 | − | 771.168i | −0.815124 | − | 1.00412i | ||||
\(769\) | 400.123i | 0.520316i | 0.965566 | + | 0.260158i | \(0.0837747\pi\) | ||||
−0.965566 | + | 0.260158i | \(0.916225\pi\) | |||||||
\(770\) | −285.602 | + | 79.1990i | −0.370912 | + | 0.102856i | ||||
\(771\) | 199.980 | − | 482.795i | 0.259378 | − | 0.626193i | ||||
\(772\) | −431.538 | − | 860.177i | −0.558987 | − | 1.11422i | ||||
\(773\) | −957.912 | − | 396.780i | −1.23921 | − | 0.513299i | −0.335745 | − | 0.941953i | \(-0.608988\pi\) |
−0.903469 | + | 0.428654i | \(0.858988\pi\) | |||||||
\(774\) | −176.093 | − | 743.704i | −0.227511 | − | 0.960858i | ||||
\(775\) | 648.234 | − | 49.3753i | 0.836431 | − | 0.0637101i | ||||
\(776\) | −952.949 | + | 299.793i | −1.22803 | + | 0.386331i | ||||
\(777\) | 517.048 | 0.665441 | ||||||||
\(778\) | 331.125 | + | 1398.46i | 0.425611 | + | 1.79750i | ||||
\(779\) | −693.103 | + | 287.093i | −0.889734 | + | 0.368540i | ||||
\(780\) | −397.796 | − | 722.988i | −0.509995 | − | 0.926907i | ||||
\(781\) | −51.9227 | − | 21.5071i | −0.0664824 | − | 0.0275379i | ||||
\(782\) | 127.534 | − | 92.0520i | 0.163087 | − | 0.117714i | ||||
\(783\) | −302.230 | + | 302.230i | −0.385989 | + | 0.385989i | ||||
\(784\) | −381.952 | − | 284.860i | −0.487184 | − | 0.363342i | ||||
\(785\) | 505.017 | + | 1099.10i | 0.643334 | + | 1.40013i | ||||
\(786\) | 8.56302 | − | 52.9934i | 0.0108944 | − | 0.0674216i | ||||
\(787\) | −626.836 | + | 259.644i | −0.796488 | + | 0.329916i | −0.743549 | − | 0.668682i | \(-0.766859\pi\) |
−0.0529392 | + | 0.998598i | \(0.516859\pi\) | |||||||
\(788\) | −478.733 | + | 553.488i | −0.607529 | + | 0.702396i | ||||
\(789\) | −1196.75 | + | 495.711i | −1.51680 | + | 0.628277i | ||||
\(790\) | −1399.78 | − | 171.897i | −1.77187 | − | 0.217591i | ||||
\(791\) | 422.652 | + | 422.652i | 0.534326 | + | 0.534326i | ||||
\(792\) | −103.879 | − | 123.959i | −0.131160 | − | 0.156514i | ||||
\(793\) | 239.220 | 0.301665 | ||||||||
\(794\) | −38.3676 | + | 9.08463i | −0.0483219 | + | 0.0114416i | ||||
\(795\) | −67.7959 | − | 1782.72i | −0.0852779 | − | 2.24242i | ||||
\(796\) | 120.200 | + | 239.592i | 0.151005 | + | 0.300995i | ||||
\(797\) | −381.854 | − | 921.877i | −0.479114 | − | 1.15668i | −0.960025 | − | 0.279914i | \(-0.909694\pi\) |
0.480911 | − | 0.876769i | \(-0.340306\pi\) | |||||||
\(798\) | 1767.19 | + | 285.555i | 2.21453 | + | 0.357838i | ||||
\(799\) | − | 657.791i | − | 0.823268i | ||||||
\(800\) | −598.806 | − | 530.501i | −0.748508 | − | 0.663126i | ||||
\(801\) | −546.895 | −0.682765 | ||||||||
\(802\) | 84.6614 | − | 523.938i | 0.105563 | − | 0.653290i | ||||
\(803\) | 352.159 | − | 145.869i | 0.438554 | − | 0.181655i | ||||
\(804\) | 495.168 | + | 987.010i | 0.615880 | + | 1.22762i | ||||
\(805\) | −447.206 | + | 17.0070i | −0.555536 | + | 0.0211267i | ||||
\(806\) | 127.431 | + | 538.185i | 0.158103 | + | 0.667724i | ||||
\(807\) | 1254.23i | 1.55419i | ||||||||
\(808\) | 205.016 | + | 18.0688i | 0.253733 | + | 0.0223624i | ||||
\(809\) | −277.363 | + | 277.363i | −0.342846 | + | 0.342846i | −0.857436 | − | 0.514590i | \(-0.827944\pi\) |
0.514590 | + | 0.857436i | \(0.327944\pi\) | |||||||
\(810\) | −120.466 | + | 980.974i | −0.148724 | + | 1.21108i | ||||
\(811\) | −137.110 | − | 331.012i | −0.169062 | − | 0.408153i | 0.816527 | − | 0.577307i | \(-0.195896\pi\) |
−0.985590 | + | 0.169154i | \(0.945896\pi\) | |||||||
\(812\) | 868.549 | − | 1004.17i | 1.06964 | − | 1.23667i | ||||
\(813\) | 338.137 | + | 816.335i | 0.415913 | + | 1.00410i | ||||
\(814\) | 98.9845 | + | 15.9946i | 0.121603 | + | 0.0196493i | ||||
\(815\) | 1050.47 | − | 482.670i | 1.28892 | − | 0.592233i | ||||
\(816\) | 247.783 | + | 415.916i | 0.303655 | + | 0.509701i | ||||
\(817\) | 1159.99 | + | 1159.99i | 1.41981 | + | 1.41981i | ||||
\(818\) | 364.176 | + | 504.551i | 0.445204 | + | 0.616811i | ||||
\(819\) | 218.679 | − | 527.937i | 0.267007 | − | 0.644612i | ||||
\(820\) | 278.292 | + | 505.791i | 0.339380 | + | 0.616818i | ||||
\(821\) | 99.1323 | + | 239.327i | 0.120746 | + | 0.291506i | 0.972683 | − | 0.232138i | \(-0.0745721\pi\) |
−0.851937 | + | 0.523644i | \(0.824572\pi\) | |||||||
\(822\) | −564.999 | + | 133.780i | −0.687346 | + | 0.162749i | ||||
\(823\) | 1303.50i | 1.58384i | 0.610627 | + | 0.791919i | \(0.290918\pi\) | ||||
−0.610627 | + | 0.791919i | \(0.709082\pi\) | |||||||
\(824\) | 1043.91 | + | 544.273i | 1.26688 | + | 0.660525i | ||||
\(825\) | −245.765 | − | 210.975i | −0.297897 | − | 0.255728i | ||||
\(826\) | −8.63065 | + | 2.04356i | −0.0104487 | + | 0.00247404i | ||||
\(827\) | 123.422 | − | 297.968i | 0.149241 | − | 0.360300i | −0.831525 | − | 0.555488i | \(-0.812532\pi\) |
0.980766 | + | 0.195188i | \(0.0625316\pi\) | |||||||
\(828\) | −109.508 | − | 218.281i | −0.132256 | − | 0.263624i | ||||
\(829\) | 788.296 | + | 326.523i | 0.950900 | + | 0.393876i | 0.803569 | − | 0.595211i | \(-0.202932\pi\) |
0.147331 | + | 0.989087i | \(0.452932\pi\) | |||||||
\(830\) | −313.999 | − | 1132.32i | −0.378312 | − | 1.36424i | ||||
\(831\) | −1211.29 | −1.45763 | ||||||||
\(832\) | 366.410 | − | 573.526i | 0.440396 | − | 0.689334i | ||||
\(833\) | 164.219 | + | 164.219i | 0.197141 | + | 0.197141i | ||||
\(834\) | 780.158 | − | 563.105i | 0.935442 | − | 0.675186i | ||||
\(835\) | −18.6496 | − | 490.399i | −0.0223348 | − | 0.587304i | ||||
\(836\) | 329.481 | + | 109.334i | 0.394116 | + | 0.130783i | ||||
\(837\) | 113.740 | − | 274.593i | 0.135890 | − | 0.328068i | ||||
\(838\) | −946.536 | − | 584.111i | −1.12952 | − | 0.697029i | ||||
\(839\) | 260.638 | + | 260.638i | 0.310653 | + | 0.310653i | 0.845163 | − | 0.534509i | \(-0.179504\pi\) |
−0.534509 | + | 0.845163i | \(0.679504\pi\) | |||||||
\(840\) | 68.7035 | − | 1375.80i | 0.0817899 | − | 1.63786i | ||||
\(841\) | 394.191 | + | 394.191i | 0.468716 | + | 0.468716i | ||||
\(842\) | −1079.58 | + | 255.622i | −1.28216 | + | 0.303589i | ||||
\(843\) | −261.940 | + | 632.380i | −0.310724 | + | 0.750154i | ||||
\(844\) | −236.613 | − | 204.656i | −0.280347 | − | 0.242483i | ||||
\(845\) | −190.040 | + | 205.066i | −0.224900 | + | 0.242682i | ||||
\(846\) | −1008.25 | − | 162.920i | −1.19178 | − | 0.192576i | ||||
\(847\) | 689.433 | + | 689.433i | 0.813971 | + | 0.813971i | ||||
\(848\) | 1264.04 | − | 753.055i | 1.49062 | − | 0.888037i | ||||
\(849\) | −560.726 | −0.660454 | ||||||||
\(850\) | 251.561 | + | 297.926i | 0.295954 | + | 0.350502i | ||||
\(851\) | 139.879 | + | 57.9398i | 0.164370 | + | 0.0680843i | ||||
\(852\) | 170.880 | − | 197.563i | 0.200563 | − | 0.231881i | ||||
\(853\) | −154.977 | + | 374.146i | −0.181684 | + | 0.438624i | −0.988314 | − | 0.152433i | \(-0.951289\pi\) |
0.806630 | + | 0.591057i | \(0.201289\pi\) | |||||||
\(854\) | 339.836 | + | 209.714i | 0.397934 | + | 0.245566i | ||||
\(855\) | 328.487 | + | 714.908i | 0.384195 | + | 0.836150i | ||||
\(856\) | −499.422 | − | 595.963i | −0.583437 | − | 0.696218i | ||||
\(857\) | − | 1456.47i | − | 1.69950i | −0.527187 | − | 0.849749i | \(-0.676753\pi\) | ||
0.527187 | − | 0.849749i | \(-0.323247\pi\) | |||||||
\(858\) | 144.707 | − | 234.494i | 0.168656 | − | 0.273303i | ||||
\(859\) | −475.947 | − | 1149.04i | −0.554070 | − | 1.33764i | −0.914397 | − | 0.404818i | \(-0.867335\pi\) |
0.360327 | − | 0.932826i | \(-0.382665\pi\) | |||||||
\(860\) | 788.939 | − | 985.465i | 0.917371 | − | 1.14589i | ||||
\(861\) | −380.405 | + | 918.378i | −0.441817 | + | 1.06664i | ||||
\(862\) | 5.13436 | − | 31.7747i | 0.00595633 | − | 0.0368615i | ||||
\(863\) | −817.904 | − | 817.904i | −0.947745 | − | 0.947745i | 0.0509555 | − | 0.998701i | \(-0.483773\pi\) |
−0.998701 | + | 0.0509555i | \(0.983773\pi\) | |||||||
\(864\) | −340.046 | + | 134.672i | −0.393571 | + | 0.155870i | ||||
\(865\) | −697.838 | − | 1518.75i | −0.806749 | − | 1.75578i | ||||
\(866\) | 82.8154 | − | 59.7747i | 0.0956298 | − | 0.0690239i | ||||
\(867\) | 338.807 | + | 817.952i | 0.390781 | + | 0.943428i | ||||
\(868\) | −290.775 | + | 876.258i | −0.334995 | + | 1.00951i | ||||
\(869\) | −180.215 | − | 435.077i | −0.207382 | − | 0.500664i | ||||
\(870\) | 1440.14 | + | 176.853i | 1.65534 | + | 0.203280i | ||||
\(871\) | −535.012 | + | 535.012i | −0.614251 | + | 0.614251i | ||||
\(872\) | 808.751 | − | 677.741i | 0.927466 | − | 0.777226i | ||||
\(873\) | − | 756.020i | − | 0.866002i | ||||||
\(874\) | 446.087 | + | 275.282i | 0.510397 | + | 0.314968i | ||||
\(875\) | −126.243 | − | 1102.27i | −0.144278 | − | 1.25974i | ||||
\(876\) | 127.969 | + | 1767.00i | 0.146083 | + | 2.01712i | ||||
\(877\) | −802.148 | + | 332.261i | −0.914650 | + | 0.378860i | −0.789835 | − | 0.613320i | \(-0.789834\pi\) |
−0.124815 | + | 0.992180i | \(0.539834\pi\) | |||||||
\(878\) | 621.585 | − | 448.650i | 0.707956 | − | 0.510991i | ||||
\(879\) | −540.796 | −0.615240 | ||||||||
\(880\) | 55.7124 | − | 261.261i | 0.0633095 | − | 0.296887i | ||||
\(881\) | 1696.12i | 1.92522i | 0.270896 | + | 0.962609i | \(0.412680\pi\) | ||||
−0.270896 | + | 0.962609i | \(0.587320\pi\) | |||||||
\(882\) | 292.384 | − | 211.038i | 0.331502 | − | 0.239272i | ||||
\(883\) | −192.458 | − | 464.635i | −0.217960 | − | 0.526201i | 0.776645 | − | 0.629938i | \(-0.216920\pi\) |
−0.994605 | + | 0.103737i | \(0.966920\pi\) | |||||||
\(884\) | −217.006 | + | 250.892i | −0.245482 | + | 0.283814i | ||||
\(885\) | −7.10937 | − | 6.58845i | −0.00803319 | − | 0.00744458i | ||||
\(886\) | −518.282 | − | 319.834i | −0.584968 | − | 0.360986i | ||||
\(887\) | −695.504 | −0.784108 | −0.392054 | − | 0.919942i | \(-0.628235\pi\) | ||||
−0.392054 | + | 0.919942i | \(0.628235\pi\) | |||||||
\(888\) | −215.453 | + | 413.235i | −0.242627 | + | 0.465355i | ||||
\(889\) | 463.821 | + | 463.821i | 0.521733 | + | 0.521733i | ||||
\(890\) | −556.129 | − | 711.838i | −0.624864 | − | 0.799818i | ||||
\(891\) | −304.905 | + | 126.296i | −0.342205 | + | 0.141746i | ||||
\(892\) | −210.665 | − | 419.916i | −0.236172 | − | 0.470758i | ||||
\(893\) | 2025.37 | − | 838.935i | 2.26805 | − | 0.939457i | ||||
\(894\) | −284.564 | + | 205.393i | −0.318304 | + | 0.229746i | ||||
\(895\) | 126.717 | − | 342.154i | 0.141583 | − | 0.382295i | ||||
\(896\) | 1023.31 | − | 493.535i | 1.14208 | − | 0.550820i | ||||
\(897\) | 294.210 | − | 294.210i | 0.327993 | − | 0.327993i | ||||
\(898\) | 98.6266 | − | 610.364i | 0.109829 | − | 0.679692i | ||||
\(899\) | −898.442 | − | 372.147i | −0.999379 | − | 0.413957i | ||||
\(900\) | 518.962 | − | 311.799i | 0.576624 | − | 0.346443i | ||||
\(901\) | −662.563 | + | 274.443i | −0.735364 | + | 0.304598i | ||||
\(902\) | −101.235 | + | 164.048i | −0.112234 | + | 0.181872i | ||||
\(903\) | 2173.66 | 2.40716 | ||||||||
\(904\) | −513.910 | + | 161.674i | −0.568485 | + | 0.178843i | ||||
\(905\) | −29.5648 | − | 64.3439i | −0.0326683 | − | 0.0710982i | ||||
\(906\) | −607.825 | − | 375.091i | −0.670889 | − | 0.414008i | ||||
\(907\) | 396.021 | + | 164.037i | 0.436627 | + | 0.180857i | 0.590159 | − | 0.807287i | \(-0.299065\pi\) |
−0.153532 | + | 0.988144i | \(0.549065\pi\) | |||||||
\(908\) | −103.638 | − | 1431.04i | −0.114139 | − | 1.57604i | ||||
\(909\) | −59.6044 | + | 143.898i | −0.0655714 | + | 0.158303i | ||||
\(910\) | 909.535 | − | 252.219i | 0.999489 | − | 0.277164i | ||||
\(911\) | − | 80.6217i | − | 0.0884980i | −0.999021 | − | 0.0442490i | \(-0.985911\pi\) | ||
0.999021 | − | 0.0442490i | \(-0.0140895\pi\) | |||||||
\(912\) | −964.607 | + | 1293.39i | −1.05768 | + | 1.41819i | ||||
\(913\) | 277.449 | − | 277.449i | 0.303887 | − | 0.303887i | ||||
\(914\) | 1375.25 | + | 222.222i | 1.50465 | + | 0.243131i | ||||
\(915\) | 16.5846 | + | 436.099i | 0.0181252 | + | 0.476611i | ||||
\(916\) | −66.1176 | − | 912.956i | −0.0721808 | − | 0.996677i | ||||
\(917\) | 56.7260 | + | 23.4967i | 0.0618605 | + | 0.0256234i | ||||
\(918\) | 173.470 | − | 41.0740i | 0.188965 | − | 0.0447429i | ||||
\(919\) | 487.683 | − | 487.683i | 0.530667 | − | 0.530667i | −0.390104 | − | 0.920771i | \(-0.627561\pi\) |
0.920771 | + | 0.390104i | \(0.127561\pi\) | |||||||
\(920\) | 172.758 | − | 364.503i | 0.187780 | − | 0.396199i | ||||
\(921\) | −217.255 | + | 217.255i | −0.235890 | + | 0.235890i | ||||
\(922\) | −489.845 | − | 302.285i | −0.531286 | − | 0.327858i | ||||
\(923\) | 165.354 | + | 68.4920i | 0.179149 | + | 0.0742058i | ||||
\(924\) | 411.141 | − | 206.263i | 0.444957 | − | 0.223228i | ||||
\(925\) | −116.887 | + | 356.683i | −0.126364 | + | 0.385604i | ||||
\(926\) | 169.751 | − | 122.523i | 0.183316 | − | 0.132315i | ||||
\(927\) | −629.988 | + | 629.988i | −0.679599 | + | 0.679599i | ||||
\(928\) | 440.633 | + | 1112.60i | 0.474820 | + | 1.19892i | ||||
\(929\) | 1625.55i | 1.74978i | 0.484320 | + | 0.874891i | \(0.339067\pi\) | ||||
−0.484320 | + | 0.874891i | \(0.660933\pi\) | |||||||
\(930\) | −972.278 | + | 269.618i | −1.04546 | + | 0.289912i | ||||
\(931\) | −296.195 | + | 715.078i | −0.318147 | + | 0.768075i | ||||
\(932\) | 4.82322 | − | 14.5349i | 0.00517513 | − | 0.0155954i | ||||
\(933\) | −1221.25 | − | 505.858i | −1.30895 | − | 0.542184i | ||||
\(934\) | −403.596 | + | 95.5630i | −0.432115 | + | 0.102316i | ||||
\(935\) | −45.2195 | + | 122.099i | −0.0483631 | + | 0.130588i | ||||
\(936\) | 330.815 | + | 394.763i | 0.353435 | + | 0.421755i | ||||
\(937\) | 1753.24 | 1.87112 | 0.935560 | − | 0.353168i | \(-0.114896\pi\) | ||||
0.935560 | + | 0.353168i | \(0.114896\pi\) | |||||||
\(938\) | −1229.06 | + | 291.015i | −1.31030 | + | 0.310251i | ||||
\(939\) | −1241.26 | + | 514.148i | −1.32190 | + | 0.547548i | ||||
\(940\) | −813.217 | − | 1478.01i | −0.865125 | − | 1.57235i | ||||
\(941\) | −1188.65 | − | 492.356i | −1.26318 | − | 0.523227i | −0.352297 | − | 0.935888i | \(-0.614599\pi\) |
−0.910884 | + | 0.412662i | \(0.864599\pi\) | |||||||
\(942\) | −1098.67 | − | 1522.17i | −1.16632 | − | 1.61589i | ||||
\(943\) | −205.825 | + | 205.825i | −0.218266 | + | 0.218266i | ||||
\(944\) | 1.96312 | − | 7.74933i | 0.00207958 | − | 0.00820904i | ||||
\(945\) | −475.656 | − | 176.159i | −0.503339 | − | 0.186412i | ||||
\(946\) | 416.130 | + | 67.2410i | 0.439883 | + | 0.0710793i | ||||
\(947\) | −13.2435 | + | 5.48565i | −0.0139847 | + | 0.00579266i | −0.389665 | − | 0.920957i | \(-0.627409\pi\) |
0.375680 | + | 0.926749i | \(0.377409\pi\) | |||||||
\(948\) | 2183.05 | − | 158.100i | 2.30280 | − | 0.166772i | ||||
\(949\) | −1121.49 | + | 464.537i | −1.18176 | + | 0.489502i | ||||
\(950\) | −596.492 | + | 1154.54i | −0.627886 | + | 1.21530i | ||||
\(951\) | −722.694 | − | 722.694i | −0.759931 | − | 0.759931i | ||||
\(952\) | −528.224 | + | 166.177i | −0.554857 | + | 0.174555i | ||||
\(953\) | 981.760 | 1.03018 | 0.515089 | − | 0.857136i | \(-0.327759\pi\) | ||||
0.515089 | + | 0.857136i | \(0.327759\pi\) | |||||||
\(954\) | 256.559 | + | 1083.54i | 0.268930 | + | 1.13578i | ||||
\(955\) | 760.375 | − | 28.9166i | 0.796204 | − | 0.0302792i | ||||
\(956\) | −1181.74 | − | 392.146i | −1.23613 | − | 0.410195i | ||||
\(957\) | 185.411 | + | 447.623i | 0.193742 | + | 0.467736i | ||||
\(958\) | −49.4482 | + | 306.017i | −0.0516161 | + | 0.319433i | ||||
\(959\) | − | 664.111i | − | 0.692504i | ||||||
\(960\) | 1070.94 | + | 628.204i | 1.11556 | + | 0.654379i | ||||
\(961\) | −284.767 | −0.296323 | ||||||||
\(962\) | −315.228 | − | 50.9367i | −0.327680 | − | 0.0529487i | ||||
\(963\) | 543.648 | − | 225.186i | 0.564536 | − | 0.233838i | ||||
\(964\) | 340.016 | − | 1024.64i | 0.352713 | − | 1.06291i | ||||
\(965\) | 882.321 | + | 817.672i | 0.914323 | + | 0.847328i | ||||
\(966\) | 675.874 | − | 160.033i | 0.699663 | − | 0.165665i | ||||
\(967\) | − | 1049.22i | − | 1.08503i | −0.840047 | − | 0.542513i | \(-0.817473\pi\) | ||
0.840047 | − | 0.542513i | \(-0.182527\pi\) | |||||||
\(968\) | −838.294 | + | 263.723i | −0.866006 | + | 0.272441i | ||||
\(969\) | 556.086 | − | 556.086i | 0.573876 | − | 0.573876i | ||||
\(970\) | 984.036 | − | 768.785i | 1.01447 | − | 0.792562i | ||||
\(971\) | −369.874 | − | 892.956i | −0.380921 | − | 0.919625i | −0.991788 | − | 0.127892i | \(-0.959179\pi\) |
0.610867 | − | 0.791733i | \(-0.290821\pi\) | |||||||
\(972\) | −81.0765 | − | 1119.51i | −0.0834120 | − | 1.15176i | ||||
\(973\) | 421.145 | + | 1016.73i | 0.432831 | + | 1.04495i | ||||
\(974\) | −159.425 | + | 986.620i | −0.163680 | + | 1.01296i | ||||
\(975\) | 782.668 | + | 671.877i | 0.802737 | + | 0.689105i | ||||
\(976\) | −309.216 | + | 184.216i | −0.316820 | + | 0.188746i | ||||
\(977\) | 750.058 | + | 750.058i | 0.767716 | + | 0.767716i | 0.977704 | − | 0.209988i | \(-0.0673425\pi\) |
−0.209988 | + | 0.977704i | \(0.567343\pi\) | |||||||
\(978\) | −1454.81 | + | 1050.06i | −1.48753 | + | 1.07368i | ||||
\(979\) | 115.431 | − | 278.676i | 0.117907 | − | 0.284654i | ||||
\(980\) | 572.008 | + | 165.966i | 0.583682 | + | 0.169353i | ||||
\(981\) | 305.589 | + | 737.757i | 0.311508 | + | 0.752046i | ||||
\(982\) | 215.635 | + | 910.701i | 0.219587 | + | 0.927394i | ||||
\(983\) | − | 206.789i | − | 0.210365i | −0.994453 | − | 0.105183i | \(-0.966457\pi\) | ||
0.994453 | − | 0.105183i | \(-0.0335427\pi\) | |||||||
\(984\) | −575.472 | − | 686.713i | −0.584829 | − | 0.697879i | ||||
\(985\) | 317.692 | − | 857.814i | 0.322530 | − | 0.870877i | ||||
\(986\) | −134.390 | − | 567.577i | −0.136298 | − | 0.575636i | ||||
\(987\) | 1111.61 | − | 2683.66i | 1.12625 | − | 2.71901i | ||||
\(988\) | −1049.27 | − | 348.188i | −1.06202 | − | 0.352417i | ||||
\(989\) | 588.049 | + | 243.578i | 0.594590 | + | 0.246287i | ||||
\(990\) | 175.952 | + | 99.5528i | 0.177729 | + | 0.100558i | ||||
\(991\) | 620.097 | 0.625729 | 0.312864 | − | 0.949798i | \(-0.398711\pi\) | ||||
0.312864 | + | 0.949798i | \(0.398711\pi\) | |||||||
\(992\) | −579.157 | − | 597.528i | −0.583828 | − | 0.602347i | ||||
\(993\) | −710.884 | − | 710.884i | −0.715895 | − | 0.715895i | ||||
\(994\) | 174.858 | + | 242.258i | 0.175913 | + | 0.243721i | ||||
\(995\) | −245.760 | − | 227.753i | −0.246995 | − | 0.228897i | ||||
\(996\) | 817.766 | + | 1630.04i | 0.821051 | + | 1.63659i | ||||
\(997\) | 134.911 | − | 325.703i | 0.135317 | − | 0.326683i | −0.841667 | − | 0.539997i | \(-0.818425\pi\) |
0.976984 | + | 0.213313i | \(0.0684255\pi\) | |||||||
\(998\) | −517.888 | + | 839.223i | −0.518926 | + | 0.840905i | ||||
\(999\) | 121.340 | + | 121.340i | 0.121461 | + | 0.121461i |
(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 | 160.3.v.a.13.4 | ✓ | 184 | |
5.2 | odd | 4 | 160.3.bb.a.77.25 | yes | 184 | ||
32.5 | even | 8 | 160.3.bb.a.133.25 | yes | 184 | ||
160.37 | odd | 8 | inner | 160.3.v.a.37.4 | yes | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
160.3.v.a.13.4 | ✓ | 184 | 1.1 | even | 1 | trivial | |
160.3.v.a.37.4 | yes | 184 | 160.37 | odd | 8 | inner | |
160.3.bb.a.77.25 | yes | 184 | 5.2 | odd | 4 | ||
160.3.bb.a.133.25 | yes | 184 | 32.5 | even | 8 |