Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,4,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), 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: | \(6.37220628062\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.11 | ||
Character | \(\chi\) | \(=\) | 108.11 |
Dual form | 108.4.l.a.59.11 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.10858 | + | 1.88517i | −0.745496 | + | 0.666510i | ||||
\(3\) | −1.35776 | − | 5.01562i | −0.261301 | − | 0.965257i | ||||
\(4\) | 0.892234 | − | 7.95009i | 0.111529 | − | 0.993761i | ||||
\(5\) | −5.18482 | + | 14.2452i | −0.463744 | + | 1.27413i | 0.458904 | + | 0.888486i | \(0.348242\pi\) |
−0.922649 | + | 0.385642i | \(0.873980\pi\) | |||||||
\(6\) | 12.3183 | + | 8.01624i | 0.838153 | + | 0.545436i | ||||
\(7\) | −9.21752 | − | 1.62530i | −0.497699 | − | 0.0877578i | −0.0808368 | − | 0.996727i | \(-0.525759\pi\) |
−0.416863 | + | 0.908970i | \(0.636870\pi\) | |||||||
\(8\) | 13.1060 | + | 18.4454i | 0.579207 | + | 0.815181i | ||||
\(9\) | −23.3130 | + | 13.6200i | −0.863443 | + | 0.504446i | ||||
\(10\) | −15.9220 | − | 39.8114i | −0.503499 | − | 1.25895i | ||||
\(11\) | 59.3614 | − | 21.6058i | 1.62710 | − | 0.592217i | 0.642385 | − | 0.766382i | \(-0.277945\pi\) |
0.984716 | + | 0.174165i | \(0.0557226\pi\) | |||||||
\(12\) | −41.0861 | + | 6.31920i | −0.988378 | + | 0.152016i | ||||
\(13\) | 44.8414 | − | 37.6264i | 0.956675 | − | 0.802746i | −0.0237339 | − | 0.999718i | \(-0.507555\pi\) |
0.980409 | + | 0.196973i | \(0.0631110\pi\) | |||||||
\(14\) | 22.4999 | − | 13.9496i | 0.429524 | − | 0.266298i | ||||
\(15\) | 78.4882 | + | 6.66357i | 1.35104 | + | 0.114702i | ||||
\(16\) | −62.4078 | − | 14.1867i | −0.975122 | − | 0.221667i | ||||
\(17\) | 50.3759 | − | 29.0845i | 0.718702 | − | 0.414943i | −0.0955726 | − | 0.995422i | \(-0.530468\pi\) |
0.814275 | + | 0.580480i | \(0.197135\pi\) | |||||||
\(18\) | 23.4812 | − | 72.6680i | 0.307476 | − | 0.951556i | ||||
\(19\) | 46.1670 | + | 26.6545i | 0.557444 | + | 0.321840i | 0.752119 | − | 0.659027i | \(-0.229032\pi\) |
−0.194675 | + | 0.980868i | \(0.562365\pi\) | |||||||
\(20\) | 108.624 | + | 53.9298i | 1.21446 | + | 0.602954i | ||||
\(21\) | 4.36330 | + | 48.4384i | 0.0453405 | + | 0.503339i | ||||
\(22\) | −84.4376 | + | 157.464i | −0.818280 | + | 1.52597i | ||||
\(23\) | 2.42499 | + | 13.7528i | 0.0219846 | + | 0.124681i | 0.993825 | − | 0.110960i | \(-0.0353924\pi\) |
−0.971840 | + | 0.235640i | \(0.924281\pi\) | |||||||
\(24\) | 74.7206 | − | 90.7790i | 0.635512 | − | 0.772091i | ||||
\(25\) | −80.2871 | − | 67.3689i | −0.642297 | − | 0.538951i | ||||
\(26\) | −23.6194 | + | 163.872i | −0.178160 | + | 1.23608i | ||||
\(27\) | 99.9664 | + | 98.4364i | 0.712539 | + | 0.701633i | ||||
\(28\) | −21.1454 | + | 71.8300i | −0.142718 | + | 0.484807i | ||||
\(29\) | −12.2488 | + | 14.5975i | −0.0784326 | + | 0.0934723i | −0.803834 | − | 0.594854i | \(-0.797210\pi\) |
0.725401 | + | 0.688326i | \(0.241654\pi\) | |||||||
\(30\) | −178.061 | + | 133.913i | −1.08364 | + | 0.814970i | ||||
\(31\) | 197.673 | − | 34.8550i | 1.14526 | − | 0.201940i | 0.431355 | − | 0.902182i | \(-0.358036\pi\) |
0.713905 | + | 0.700242i | \(0.246925\pi\) | |||||||
\(32\) | 158.336 | − | 87.7359i | 0.874693 | − | 0.484677i | ||||
\(33\) | −188.965 | − | 268.399i | −0.996805 | − | 1.41583i | ||||
\(34\) | −51.3922 | + | 156.294i | −0.259226 | + | 0.788361i | ||||
\(35\) | 70.9438 | − | 122.878i | 0.342620 | − | 0.593435i | ||||
\(36\) | 87.4798 | + | 197.492i | 0.404999 | + | 0.914317i | ||||
\(37\) | 101.361 | + | 175.562i | 0.450367 | + | 0.780058i | 0.998409 | − | 0.0563927i | \(-0.0179599\pi\) |
−0.548042 | + | 0.836451i | \(0.684627\pi\) | |||||||
\(38\) | −147.595 | + | 30.8296i | −0.630082 | + | 0.131611i | ||||
\(39\) | −249.604 | − | 173.820i | −1.02484 | − | 0.713679i | ||||
\(40\) | −330.710 | + | 91.0604i | −1.30725 | + | 0.359948i | ||||
\(41\) | 197.308 | + | 235.142i | 0.751567 | + | 0.895683i | 0.997283 | − | 0.0736588i | \(-0.0234676\pi\) |
−0.245716 | + | 0.969342i | \(0.579023\pi\) | |||||||
\(42\) | −100.515 | − | 93.9107i | −0.369282 | − | 0.345018i | ||||
\(43\) | −182.426 | − | 501.213i | −0.646972 | − | 1.77754i | −0.628626 | − | 0.777708i | \(-0.716382\pi\) |
−0.0183458 | − | 0.999832i | \(-0.505840\pi\) | |||||||
\(44\) | −118.804 | − | 491.205i | −0.407052 | − | 1.68300i | ||||
\(45\) | −73.1462 | − | 402.715i | −0.242311 | − | 1.33407i | ||||
\(46\) | −31.0397 | − | 24.4274i | −0.0994904 | − | 0.0782961i | ||||
\(47\) | 39.9568 | − | 226.606i | 0.124006 | − | 0.703274i | −0.857887 | − | 0.513839i | \(-0.828223\pi\) |
0.981893 | − | 0.189436i | \(-0.0606659\pi\) | |||||||
\(48\) | 13.5798 | + | 332.276i | 0.0408349 | + | 0.999166i | ||||
\(49\) | −239.993 | − | 87.3505i | −0.699689 | − | 0.254666i | ||||
\(50\) | 296.294 | − | 9.30241i | 0.838046 | − | 0.0263112i | ||||
\(51\) | −214.275 | − | 213.177i | −0.588324 | − | 0.585308i | ||||
\(52\) | −259.124 | − | 390.065i | −0.691040 | − | 1.04024i | ||||
\(53\) | 462.816i | 1.19948i | 0.800194 | + | 0.599742i | \(0.204730\pi\) | ||||
−0.800194 | + | 0.599742i | \(0.795270\pi\) | |||||||
\(54\) | −396.357 | − | 19.1070i | −0.998840 | − | 0.0481507i | ||||
\(55\) | 957.635i | 2.34777i | ||||||||
\(56\) | −90.8251 | − | 191.322i | −0.216732 | − | 0.456545i | ||||
\(57\) | 71.0054 | − | 267.747i | 0.164998 | − | 0.622174i | ||||
\(58\) | −1.69133 | − | 53.8712i | −0.00382902 | − | 0.121959i | ||||
\(59\) | 56.3577 | + | 20.5125i | 0.124358 | + | 0.0452628i | 0.403450 | − | 0.915002i | \(-0.367811\pi\) |
−0.279091 | + | 0.960265i | \(0.590033\pi\) | |||||||
\(60\) | 123.006 | − | 618.043i | 0.264666 | − | 1.32982i | ||||
\(61\) | −45.0700 | + | 255.605i | −0.0946004 | + | 0.536505i | 0.900269 | + | 0.435335i | \(0.143370\pi\) |
−0.994869 | + | 0.101171i | \(0.967741\pi\) | |||||||
\(62\) | −351.101 | + | 446.142i | −0.719192 | + | 0.913873i | ||||
\(63\) | 237.024 | − | 87.6524i | 0.474004 | − | 0.175288i | ||||
\(64\) | −168.468 | + | 483.490i | −0.329039 | + | 0.944316i | ||||
\(65\) | 303.500 | + | 833.860i | 0.579148 | + | 1.59119i | ||||
\(66\) | 904.427 | + | 209.709i | 1.68678 | + | 0.391112i | ||||
\(67\) | −160.196 | − | 190.914i | −0.292105 | − | 0.348118i | 0.599955 | − | 0.800034i | \(-0.295185\pi\) |
−0.892060 | + | 0.451916i | \(0.850741\pi\) | |||||||
\(68\) | −186.277 | − | 426.443i | −0.332198 | − | 0.760497i | ||||
\(69\) | 65.6863 | − | 30.8359i | 0.114604 | − | 0.0538000i | ||||
\(70\) | 82.0562 | + | 392.841i | 0.140108 | + | 0.670763i | ||||
\(71\) | 533.420 | + | 923.911i | 0.891625 | + | 1.54434i | 0.837927 | + | 0.545782i | \(0.183767\pi\) |
0.0536977 | + | 0.998557i | \(0.482899\pi\) | |||||||
\(72\) | −556.766 | − | 251.514i | −0.911327 | − | 0.411684i | ||||
\(73\) | 228.650 | − | 396.034i | 0.366596 | − | 0.634963i | −0.622435 | − | 0.782671i | \(-0.713857\pi\) |
0.989031 | + | 0.147709i | \(0.0471899\pi\) | |||||||
\(74\) | −544.691 | − | 179.104i | −0.855663 | − | 0.281357i | ||||
\(75\) | −228.886 | + | 494.161i | −0.352394 | + | 0.760810i | ||||
\(76\) | 253.098 | − | 343.250i | 0.382004 | − | 0.518071i | ||||
\(77\) | −582.280 | + | 102.672i | −0.861779 | + | 0.151955i | ||||
\(78\) | 853.992 | − | 104.033i | 1.23969 | − | 0.151018i | ||||
\(79\) | 441.698 | − | 526.395i | 0.629049 | − | 0.749672i | −0.353549 | − | 0.935416i | \(-0.615025\pi\) |
0.982598 | + | 0.185744i | \(0.0594696\pi\) | |||||||
\(80\) | 525.665 | − | 815.455i | 0.734640 | − | 1.13963i | ||||
\(81\) | 357.989 | − | 635.047i | 0.491069 | − | 0.871121i | ||||
\(82\) | −859.323 | − | 123.857i | −1.15727 | − | 0.166801i | ||||
\(83\) | −894.982 | − | 750.979i | −1.18358 | − | 0.993141i | −0.999949 | − | 0.0101457i | \(-0.996770\pi\) |
−0.183631 | − | 0.982995i | \(-0.558785\pi\) | |||||||
\(84\) | 388.983 | + | 8.52974i | 0.505256 | + | 0.0110794i | ||||
\(85\) | 153.124 | + | 868.411i | 0.195396 | + | 1.10815i | ||||
\(86\) | 1329.53 | + | 712.942i | 1.66706 | + | 0.893936i | ||||
\(87\) | 89.8467 | + | 41.6154i | 0.110719 | + | 0.0512832i | ||||
\(88\) | 1176.51 | + | 811.782i | 1.42519 | + | 0.983366i | ||||
\(89\) | −114.202 | − | 65.9345i | −0.136016 | − | 0.0785286i | 0.430448 | − | 0.902615i | \(-0.358356\pi\) |
−0.566464 | + | 0.824087i | \(0.691689\pi\) | |||||||
\(90\) | 913.422 | + | 711.264i | 1.06981 | + | 0.833042i | ||||
\(91\) | −474.481 | + | 273.942i | −0.546584 | + | 0.315570i | ||||
\(92\) | 111.500 | − | 7.00816i | 0.126355 | − | 0.00794187i | ||||
\(93\) | −443.212 | − | 944.127i | −0.494182 | − | 1.05270i | ||||
\(94\) | 342.940 | + | 553.143i | 0.376293 | + | 0.606940i | ||||
\(95\) | −619.066 | + | 519.458i | −0.668577 | + | 0.561003i | ||||
\(96\) | −655.033 | − | 675.032i | −0.696396 | − | 0.717658i | ||||
\(97\) | 1017.66 | − | 370.397i | 1.06523 | − | 0.387713i | 0.250840 | − | 0.968029i | \(-0.419293\pi\) |
0.814391 | + | 0.580316i | \(0.197071\pi\) | |||||||
\(98\) | 670.717 | − | 268.244i | 0.691353 | − | 0.276497i | ||||
\(99\) | −1089.62 | + | 1312.20i | −1.10617 | + | 1.33213i | ||||
\(100\) | −607.224 | + | 578.181i | −0.607224 | + | 0.578181i | ||||
\(101\) | −1228.25 | − | 216.574i | −1.21006 | − | 0.213366i | −0.468017 | − | 0.883720i | \(-0.655031\pi\) |
−0.742042 | + | 0.670354i | \(0.766142\pi\) | |||||||
\(102\) | 853.692 | + | 45.5538i | 0.828707 | + | 0.0442206i | ||||
\(103\) | −66.2059 | + | 181.899i | −0.0633346 | + | 0.174010i | −0.967323 | − | 0.253546i | \(-0.918403\pi\) |
0.903989 | + | 0.427556i | \(0.140625\pi\) | |||||||
\(104\) | 1281.73 | + | 333.989i | 1.20850 | + | 0.314907i | ||||
\(105\) | −712.636 | − | 188.988i | −0.662345 | − | 0.175651i | ||||
\(106\) | −872.488 | − | 975.885i | −0.799467 | − | 0.894210i | ||||
\(107\) | 583.699 | 0.527367 | 0.263684 | − | 0.964609i | \(-0.415063\pi\) | ||||
0.263684 | + | 0.964609i | \(0.415063\pi\) | |||||||
\(108\) | 871.771 | − | 706.913i | 0.776724 | − | 0.629841i | ||||
\(109\) | 1619.82 | 1.42340 | 0.711700 | − | 0.702484i | \(-0.247926\pi\) | ||||
0.711700 | + | 0.702484i | \(0.247926\pi\) | |||||||
\(110\) | −1805.31 | − | 2019.25i | −1.56481 | − | 1.75026i | ||||
\(111\) | 742.928 | − | 746.757i | 0.635276 | − | 0.638550i | ||||
\(112\) | 552.188 | + | 232.197i | 0.465865 | + | 0.195898i | ||||
\(113\) | 234.896 | − | 645.371i | 0.195550 | − | 0.537269i | −0.802702 | − | 0.596381i | \(-0.796605\pi\) |
0.998251 | + | 0.0591123i | \(0.0188270\pi\) | |||||||
\(114\) | 355.029 | + | 698.423i | 0.291680 | + | 0.573801i | ||||
\(115\) | −208.484 | − | 36.7614i | −0.169054 | − | 0.0298089i | ||||
\(116\) | 105.123 | + | 110.403i | 0.0841416 | + | 0.0883681i | ||||
\(117\) | −532.914 | + | 1487.93i | −0.421093 | + | 1.17572i | ||||
\(118\) | −157.504 | + | 62.9917i | −0.122877 | + | 0.0491429i | ||||
\(119\) | −511.611 | + | 186.211i | −0.394112 | + | 0.143445i | ||||
\(120\) | 905.750 | + | 1535.08i | 0.689028 | + | 1.16778i | ||||
\(121\) | 2037.36 | − | 1709.54i | 1.53070 | − | 1.28441i | ||||
\(122\) | −386.826 | − | 623.928i | −0.287062 | − | 0.463015i | ||||
\(123\) | 911.487 | − | 1308.89i | 0.668179 | − | 0.959499i | ||||
\(124\) | −100.730 | − | 1602.61i | −0.0729503 | − | 1.16064i | ||||
\(125\) | −265.097 | + | 153.054i | −0.189688 | + | 0.109516i | ||||
\(126\) | −334.545 | + | 631.655i | −0.236537 | + | 0.446605i | ||||
\(127\) | 106.459 | + | 61.4642i | 0.0743836 | + | 0.0429454i | 0.536730 | − | 0.843754i | \(-0.319659\pi\) |
−0.462347 | + | 0.886699i | \(0.652993\pi\) | |||||||
\(128\) | −556.235 | − | 1337.07i | −0.384099 | − | 0.923292i | ||||
\(129\) | −2266.20 | + | 1595.51i | −1.54673 | + | 1.08897i | ||||
\(130\) | −2211.93 | − | 1186.11i | −1.49230 | − | 0.800222i | ||||
\(131\) | 259.434 | + | 1471.32i | 0.173029 | + | 0.981299i | 0.940394 | + | 0.340087i | \(0.110457\pi\) |
−0.767364 | + | 0.641211i | \(0.778432\pi\) | |||||||
\(132\) | −2302.40 | + | 1262.81i | −1.51817 | + | 0.832680i | ||||
\(133\) | −382.224 | − | 320.724i | −0.249195 | − | 0.209100i | ||||
\(134\) | 697.693 | + | 100.561i | 0.449787 | + | 0.0648293i | ||||
\(135\) | −1920.55 | + | 913.664i | −1.22441 | + | 0.582487i | ||||
\(136\) | 1196.70 | + | 548.024i | 0.754531 | + | 0.345534i | ||||
\(137\) | −576.908 | + | 687.532i | −0.359770 | + | 0.428758i | −0.915321 | − | 0.402725i | \(-0.868063\pi\) |
0.555551 | + | 0.831483i | \(0.312508\pi\) | |||||||
\(138\) | −80.3740 | + | 188.850i | −0.0495789 | + | 0.116493i | ||||
\(139\) | −935.951 | + | 165.033i | −0.571125 | + | 0.100705i | −0.451750 | − | 0.892145i | \(-0.649200\pi\) |
−0.119375 | + | 0.992849i | \(0.538089\pi\) | |||||||
\(140\) | −913.595 | − | 673.646i | −0.551521 | − | 0.406668i | ||||
\(141\) | −1190.82 | + | 107.269i | −0.711244 | + | 0.0640684i | ||||
\(142\) | −2866.49 | − | 942.552i | −1.69402 | − | 0.557023i | ||||
\(143\) | 1848.90 | − | 3202.39i | 1.08121 | − | 1.87271i | ||||
\(144\) | 1648.14 | − | 519.263i | 0.953782 | − | 0.300499i | ||||
\(145\) | −144.437 | − | 250.172i | −0.0827229 | − | 0.143280i | ||||
\(146\) | 264.465 | + | 1266.12i | 0.149913 | + | 0.717702i | ||||
\(147\) | −112.264 | + | 1322.32i | −0.0629887 | + | 0.741925i | ||||
\(148\) | 1486.17 | − | 649.183i | 0.825421 | − | 0.360558i | ||||
\(149\) | 1952.86 | + | 2327.33i | 1.07372 | + | 1.27961i | 0.958136 | + | 0.286314i | \(0.0924301\pi\) |
0.115586 | + | 0.993297i | \(0.463125\pi\) | |||||||
\(150\) | −448.954 | − | 1473.47i | −0.244380 | − | 0.802055i | ||||
\(151\) | −825.091 | − | 2266.92i | −0.444668 | − | 1.22172i | −0.936389 | − | 0.350963i | \(-0.885854\pi\) |
0.491721 | − | 0.870753i | \(-0.336368\pi\) | |||||||
\(152\) | 113.408 | + | 1200.90i | 0.0605173 | + | 0.640830i | ||||
\(153\) | −778.279 | + | 1364.17i | −0.411243 | + | 0.720826i | ||||
\(154\) | 1034.23 | − | 1314.19i | 0.541174 | − | 0.687666i | ||||
\(155\) | −528.381 | + | 2996.60i | −0.273810 | + | 1.55286i | ||||
\(156\) | −1604.59 | + | 1829.29i | −0.823526 | + | 0.938847i | ||||
\(157\) | 658.007 | + | 239.495i | 0.334488 | + | 0.121744i | 0.503804 | − | 0.863818i | \(-0.331933\pi\) |
−0.169316 | + | 0.985562i | \(0.554156\pi\) | |||||||
\(158\) | 60.9904 | + | 1942.62i | 0.0307097 | + | 0.978145i | ||||
\(159\) | 2321.31 | − | 628.393i | 1.15781 | − | 0.313426i | ||||
\(160\) | 428.867 | + | 2710.42i | 0.211906 | + | 1.33924i | ||||
\(161\) | − | 130.708i | − | 0.0639829i | ||||||
\(162\) | 442.324 | + | 2013.92i | 0.214520 | + | 0.976720i | ||||
\(163\) | 458.126i | 0.220142i | 0.993924 | + | 0.110071i | \(0.0351079\pi\) | ||||
−0.993924 | + | 0.110071i | \(0.964892\pi\) | |||||||
\(164\) | 2045.44 | − | 1358.81i | 0.973917 | − | 0.646983i | ||||
\(165\) | 4803.14 | − | 1300.24i | 2.26620 | − | 0.613476i | ||||
\(166\) | 3302.87 | − | 103.696i | 1.54429 | − | 0.0484844i | ||||
\(167\) | −1839.74 | − | 669.612i | −0.852477 | − | 0.310276i | −0.121427 | − | 0.992600i | \(-0.538747\pi\) |
−0.731050 | + | 0.682324i | \(0.760969\pi\) | |||||||
\(168\) | −836.282 | + | 715.314i | −0.384051 | + | 0.328498i | ||||
\(169\) | 213.501 | − | 1210.82i | 0.0971784 | − | 0.551126i | ||||
\(170\) | −1959.98 | − | 1542.45i | −0.884257 | − | 0.695885i | ||||
\(171\) | −1439.33 | + | 7.39973i | −0.643672 | + | 0.00330919i | ||||
\(172\) | −4147.45 | + | 1003.11i | −1.83861 | + | 0.444687i | ||||
\(173\) | −205.598 | − | 564.876i | −0.0903546 | − | 0.248247i | 0.886282 | − | 0.463147i | \(-0.153280\pi\) |
−0.976636 | + | 0.214900i | \(0.931058\pi\) | |||||||
\(174\) | −267.901 | + | 81.6273i | −0.116722 | + | 0.0355641i | ||||
\(175\) | 630.554 | + | 751.465i | 0.272374 | + | 0.324602i | ||||
\(176\) | −4011.13 | + | 506.228i | −1.71790 | + | 0.216809i | ||||
\(177\) | 26.3629 | − | 310.520i | 0.0111952 | − | 0.131865i | ||||
\(178\) | 365.102 | − | 76.2623i | 0.153739 | − | 0.0321129i | ||||
\(179\) | −2322.51 | − | 4022.71i | −0.969792 | − | 1.67973i | −0.696149 | − | 0.717897i | \(-0.745105\pi\) |
−0.273643 | − | 0.961831i | \(-0.588229\pi\) | |||||||
\(180\) | −3266.88 | + | 222.203i | −1.35277 | + | 0.0920112i | ||||
\(181\) | −214.860 | + | 372.149i | −0.0882345 | + | 0.152827i | −0.906765 | − | 0.421637i | \(-0.861456\pi\) |
0.818530 | + | 0.574463i | \(0.194789\pi\) | |||||||
\(182\) | 484.054 | − | 1472.11i | 0.197145 | − | 0.599560i | ||||
\(183\) | 1343.21 | − | 120.996i | 0.542585 | − | 0.0488758i | ||||
\(184\) | −221.895 | + | 224.974i | −0.0889037 | + | 0.0901374i | ||||
\(185\) | −3026.44 | + | 533.644i | −1.20275 | + | 0.212077i | ||||
\(186\) | 2714.39 | + | 1155.24i | 1.07005 | + | 0.455409i | ||||
\(187\) | 2361.99 | − | 2814.90i | 0.923666 | − | 1.10078i | ||||
\(188\) | −1765.89 | − | 519.846i | −0.685056 | − | 0.201668i | ||||
\(189\) | −761.454 | − | 1069.81i | −0.293056 | − | 0.411733i | ||||
\(190\) | 326.082 | − | 2262.37i | 0.124508 | − | 0.863839i | ||||
\(191\) | 2871.87 | + | 2409.79i | 1.08796 | + | 0.912911i | 0.996558 | − | 0.0829027i | \(-0.0264191\pi\) |
0.0914072 | + | 0.995814i | \(0.470864\pi\) | |||||||
\(192\) | 2653.74 | + | 188.508i | 0.997487 | + | 0.0708561i | ||||
\(193\) | −104.384 | − | 591.990i | −0.0389311 | − | 0.220789i | 0.959135 | − | 0.282948i | \(-0.0913125\pi\) |
−0.998066 | + | 0.0621590i | \(0.980201\pi\) | |||||||
\(194\) | −1447.55 | + | 2699.47i | −0.535712 | + | 0.999026i | ||||
\(195\) | 3770.25 | − | 2654.43i | 1.38458 | − | 0.974807i | ||||
\(196\) | −908.575 | + | 1830.03i | −0.331113 | + | 0.666921i | ||||
\(197\) | −3634.87 | − | 2098.59i | −1.31459 | − | 0.758977i | −0.331735 | − | 0.943373i | \(-0.607634\pi\) |
−0.982852 | + | 0.184395i | \(0.940967\pi\) | |||||||
\(198\) | −176.173 | − | 4821.00i | −0.0632327 | − | 1.73037i | ||||
\(199\) | 1837.33 | − | 1060.79i | 0.654498 | − | 0.377875i | −0.135679 | − | 0.990753i | \(-0.543322\pi\) |
0.790177 | + | 0.612878i | \(0.209988\pi\) | |||||||
\(200\) | 190.409 | − | 2363.86i | 0.0673197 | − | 0.835752i | ||||
\(201\) | −740.046 | + | 1062.70i | −0.259696 | + | 0.372920i | ||||
\(202\) | 2998.16 | − | 1858.81i | 1.04430 | − | 0.647452i | ||||
\(203\) | 136.629 | − | 114.645i | 0.0472388 | − | 0.0396380i | ||||
\(204\) | −1885.96 | + | 1513.30i | −0.647271 | + | 0.519375i | ||||
\(205\) | −4372.64 | + | 1591.51i | −1.48975 | + | 0.542224i | ||||
\(206\) | −203.311 | − | 508.359i | −0.0687639 | − | 0.171937i | ||||
\(207\) | −243.847 | − | 287.590i | −0.0818771 | − | 0.0965648i | ||||
\(208\) | −3332.25 | + | 1712.03i | −1.11082 | + | 0.570712i | ||||
\(209\) | 3316.43 | + | 584.775i | 1.09762 | + | 0.193540i | ||||
\(210\) | 1858.93 | − | 944.946i | 0.610849 | − | 0.310512i | ||||
\(211\) | −1727.44 | + | 4746.10i | −0.563610 | + | 1.54851i | 0.250693 | + | 0.968067i | \(0.419341\pi\) |
−0.814303 | + | 0.580439i | \(0.802881\pi\) | |||||||
\(212\) | 3679.43 | + | 412.940i | 1.19200 | + | 0.133778i | ||||
\(213\) | 3909.73 | − | 3929.89i | 1.25770 | − | 1.26419i | ||||
\(214\) | −1230.78 | + | 1100.37i | −0.393150 | + | 0.351495i | ||||
\(215\) | 8085.71 | 2.56484 | ||||||||
\(216\) | −505.546 | + | 3134.03i | −0.159250 | + | 0.987238i | ||||
\(217\) | −1878.70 | −0.587717 | ||||||||
\(218\) | −3415.52 | + | 3053.64i | −1.06114 | + | 0.948709i | ||||
\(219\) | −2296.81 | − | 609.105i | −0.708694 | − | 0.187943i | ||||
\(220\) | 7613.28 | + | 854.435i | 2.33312 | + | 0.261845i | ||||
\(221\) | 1164.58 | − | 3199.65i | 0.354471 | − | 0.973901i | ||||
\(222\) | −158.757 | + | 2975.15i | −0.0479957 | + | 0.899454i | ||||
\(223\) | −1109.23 | − | 195.586i | −0.333091 | − | 0.0587329i | 0.00460170 | − | 0.999989i | \(-0.498535\pi\) |
−0.337692 | + | 0.941257i | \(0.609646\pi\) | |||||||
\(224\) | −1602.07 | + | 551.363i | −0.477868 | + | 0.164462i | ||||
\(225\) | 2789.30 | + | 477.056i | 0.826459 | + | 0.141350i | ||||
\(226\) | 721.339 | + | 1803.64i | 0.212313 | + | 0.530868i | ||||
\(227\) | −2880.72 | + | 1048.50i | −0.842292 | + | 0.306569i | −0.726894 | − | 0.686750i | \(-0.759037\pi\) |
−0.115398 | + | 0.993319i | \(0.536814\pi\) | |||||||
\(228\) | −2065.26 | − | 803.392i | −0.599890 | − | 0.233359i | ||||
\(229\) | −2205.73 | + | 1850.83i | −0.636502 | + | 0.534088i | −0.902942 | − | 0.429763i | \(-0.858597\pi\) |
0.266440 | + | 0.963852i | \(0.414153\pi\) | |||||||
\(230\) | 508.908 | − | 315.515i | 0.145897 | − | 0.0904540i | ||||
\(231\) | 1305.56 | + | 2781.10i | 0.371859 | + | 0.792133i | ||||
\(232\) | −429.790 | − | 34.6195i | −0.121625 | − | 0.00979691i | ||||
\(233\) | 3129.05 | − | 1806.56i | 0.879791 | − | 0.507947i | 0.00920121 | − | 0.999958i | \(-0.497071\pi\) |
0.870589 | + | 0.492010i | \(0.163738\pi\) | |||||||
\(234\) | −1681.31 | − | 4142.05i | −0.469703 | − | 1.15715i | ||||
\(235\) | 3020.87 | + | 1744.10i | 0.838554 | + | 0.484139i | ||||
\(236\) | 213.361 | − | 429.747i | 0.0588500 | − | 0.118534i | ||||
\(237\) | −3239.92 | − | 1500.67i | −0.887998 | − | 0.411304i | ||||
\(238\) | 727.734 | − | 1357.12i | 0.198202 | − | 0.369617i | ||||
\(239\) | −461.133 | − | 2615.21i | −0.124804 | − | 0.707799i | −0.981424 | − | 0.191851i | \(-0.938551\pi\) |
0.856620 | − | 0.515948i | \(-0.172560\pi\) | |||||||
\(240\) | −4803.74 | − | 1529.35i | −1.29200 | − | 0.411329i | ||||
\(241\) | 4453.69 | + | 3737.09i | 1.19040 | + | 0.998867i | 0.999852 | + | 0.0171902i | \(0.00547209\pi\) |
0.190552 | + | 0.981677i | \(0.438972\pi\) | |||||||
\(242\) | −1073.14 | + | 7445.49i | −0.285059 | + | 1.97774i | ||||
\(243\) | −3671.22 | − | 933.299i | −0.969172 | − | 0.246383i | ||||
\(244\) | 1991.87 | + | 586.370i | 0.522608 | + | 0.153846i | ||||
\(245\) | 2488.65 | − | 2965.85i | 0.648954 | − | 0.773393i | ||||
\(246\) | 545.535 | + | 4478.21i | 0.141390 | + | 1.16065i | ||||
\(247\) | 3073.11 | − | 541.872i | 0.791649 | − | 0.139589i | ||||
\(248\) | 3233.61 | + | 3189.35i | 0.827960 | + | 0.816629i | ||||
\(249\) | −2551.46 | + | 5508.55i | −0.649366 | + | 1.40197i | ||||
\(250\) | 270.446 | − | 822.481i | 0.0684179 | − | 0.208073i | ||||
\(251\) | −995.020 | + | 1723.43i | −0.250220 | + | 0.433393i | −0.963586 | − | 0.267398i | \(-0.913836\pi\) |
0.713367 | + | 0.700791i | \(0.247169\pi\) | |||||||
\(252\) | −485.363 | − | 1962.57i | −0.121329 | − | 0.490597i | ||||
\(253\) | 441.091 | + | 763.991i | 0.109609 | + | 0.189849i | ||||
\(254\) | −340.348 | + | 71.0917i | −0.0840762 | + | 0.0175618i | ||||
\(255\) | 4147.72 | − | 1947.11i | 1.01859 | − | 0.478167i | ||||
\(256\) | 3693.48 | + | 1770.72i | 0.901728 | + | 0.432305i | ||||
\(257\) | −1012.27 | − | 1206.37i | −0.245694 | − | 0.292807i | 0.629077 | − | 0.777343i | \(-0.283433\pi\) |
−0.874771 | + | 0.484536i | \(0.838988\pi\) | |||||||
\(258\) | 1770.66 | − | 7636.45i | 0.427273 | − | 1.84273i | ||||
\(259\) | −648.953 | − | 1782.98i | −0.155691 | − | 0.427758i | ||||
\(260\) | 6900.06 | − | 1668.86i | 1.64586 | − | 0.398069i | ||||
\(261\) | 86.7368 | − | 507.141i | 0.0205704 | − | 0.120273i | ||||
\(262\) | −3320.74 | − | 2613.33i | −0.783038 | − | 0.616229i | ||||
\(263\) | −598.071 | + | 3391.83i | −0.140223 | + | 0.795245i | 0.830856 | + | 0.556487i | \(0.187851\pi\) |
−0.971079 | + | 0.238757i | \(0.923260\pi\) | |||||||
\(264\) | 2474.17 | − | 7003.16i | 0.576797 | − | 1.63263i | ||||
\(265\) | −6592.89 | − | 2399.62i | −1.52829 | − | 0.556254i | ||||
\(266\) | 1410.57 | − | 44.2861i | 0.325141 | − | 0.0102081i | ||||
\(267\) | −175.644 | + | 662.318i | −0.0402593 | + | 0.151810i | ||||
\(268\) | −1660.72 | + | 1103.23i | −0.378524 | + | 0.251458i | ||||
\(269\) | 3253.42i | 0.737415i | 0.929546 | + | 0.368707i | \(0.120200\pi\) | ||||
−0.929546 | + | 0.368707i | \(0.879800\pi\) | |||||||
\(270\) | 2327.22 | − | 5547.11i | 0.524557 | − | 1.25032i | ||||
\(271\) | 3801.58i | 0.852140i | 0.904690 | + | 0.426070i | \(0.140102\pi\) | ||||
−0.904690 | + | 0.426070i | \(0.859898\pi\) | |||||||
\(272\) | −3556.46 | + | 1100.44i | −0.792802 | + | 0.245308i | ||||
\(273\) | 2018.22 | + | 2007.87i | 0.447429 | + | 0.445135i | ||||
\(274\) | −79.6604 | − | 2537.29i | −0.0175637 | − | 0.559428i | ||||
\(275\) | −6221.51 | − | 2264.44i | −1.36426 | − | 0.496550i | ||||
\(276\) | −186.540 | − | 549.725i | −0.0406826 | − | 0.119890i | ||||
\(277\) | 391.994 | − | 2223.11i | 0.0850275 | − | 0.482215i | −0.912323 | − | 0.409471i | \(-0.865713\pi\) |
0.997351 | − | 0.0727439i | \(-0.0231756\pi\) | |||||||
\(278\) | 1662.41 | − | 2112.42i | 0.358651 | − | 0.455735i | ||||
\(279\) | −4133.61 | + | 3504.88i | −0.887000 | + | 0.752086i | ||||
\(280\) | 3196.33 | − | 301.848i | 0.682205 | − | 0.0644246i | ||||
\(281\) | −300.745 | − | 826.291i | −0.0638469 | − | 0.175418i | 0.903667 | − | 0.428236i | \(-0.140865\pi\) |
−0.967514 | + | 0.252818i | \(0.918643\pi\) | |||||||
\(282\) | 2308.73 | − | 2471.09i | 0.487527 | − | 0.521814i | ||||
\(283\) | −3721.04 | − | 4434.56i | −0.781599 | − | 0.931474i | 0.217405 | − | 0.976081i | \(-0.430241\pi\) |
−0.999005 | + | 0.0446077i | \(0.985796\pi\) | |||||||
\(284\) | 7821.11 | − | 3416.39i | 1.63415 | − | 0.713823i | ||||
\(285\) | 3445.95 | + | 2399.70i | 0.716212 | + | 0.498758i | ||||
\(286\) | 2138.51 | + | 10238.0i | 0.442141 | + | 2.11673i | ||||
\(287\) | −1436.51 | − | 2488.11i | −0.295451 | − | 0.511737i | ||||
\(288\) | −2496.33 | + | 4201.93i | −0.510755 | + | 0.859726i | ||||
\(289\) | −764.682 | + | 1324.47i | −0.155645 | + | 0.269585i | ||||
\(290\) | 776.175 | + | 255.219i | 0.157167 | + | 0.0516793i | ||||
\(291\) | −3239.51 | − | 4601.28i | −0.652589 | − | 0.926913i | ||||
\(292\) | −2944.50 | − | 2171.15i | −0.590115 | − | 0.435126i | ||||
\(293\) | 2307.70 | − | 406.910i | 0.460127 | − | 0.0811328i | 0.0612203 | − | 0.998124i | \(-0.480501\pi\) |
0.398907 | + | 0.916991i | \(0.369390\pi\) | |||||||
\(294\) | −2256.08 | − | 2999.85i | −0.447542 | − | 0.595085i | ||||
\(295\) | −584.409 | + | 696.471i | −0.115341 | + | 0.137458i | ||||
\(296\) | −1909.88 | + | 4170.54i | −0.375033 | + | 0.818945i | ||||
\(297\) | 8060.93 | + | 3683.47i | 1.57489 | + | 0.719651i | ||||
\(298\) | −8505.18 | − | 1225.88i | −1.65333 | − | 0.238300i | ||||
\(299\) | 626.209 | + | 525.452i | 0.121119 | + | 0.101631i | ||||
\(300\) | 3724.40 | + | 2260.57i | 0.716762 | + | 0.435048i | ||||
\(301\) | 866.900 | + | 4916.43i | 0.166004 | + | 0.941457i | ||||
\(302\) | 6013.31 | + | 3224.54i | 1.14578 | + | 0.614409i | ||||
\(303\) | 581.420 | + | 6454.52i | 0.110237 | + | 1.22377i | ||||
\(304\) | −2503.04 | − | 2318.41i | −0.472235 | − | 0.437401i | ||||
\(305\) | −3407.45 | − | 1967.29i | −0.639706 | − | 0.369334i | ||||
\(306\) | −930.629 | − | 4343.65i | −0.173858 | − | 0.811470i | ||||
\(307\) | −4021.66 | + | 2321.91i | −0.747649 | + | 0.431656i | −0.824844 | − | 0.565361i | \(-0.808737\pi\) |
0.0771946 | + | 0.997016i | \(0.475404\pi\) | |||||||
\(308\) | 296.719 | + | 4720.79i | 0.0548933 | + | 0.873350i | ||||
\(309\) | 1002.23 | + | 85.0884i | 0.184514 | + | 0.0156651i | ||||
\(310\) | −4534.98 | − | 7314.67i | −0.830869 | − | 1.34015i | ||||
\(311\) | −6326.75 | + | 5308.77i | −1.15356 | + | 0.967951i | −0.999797 | − | 0.0201566i | \(-0.993584\pi\) |
−0.153763 | + | 0.988108i | \(0.549139\pi\) | |||||||
\(312\) | −65.1120 | − | 6882.13i | −0.0118149 | − | 1.24879i | ||||
\(313\) | −8933.85 | + | 3251.65i | −1.61333 | + | 0.587202i | −0.982094 | − | 0.188392i | \(-0.939672\pi\) |
−0.631232 | + | 0.775594i | \(0.717450\pi\) | |||||||
\(314\) | −1838.95 | + | 735.463i | −0.330503 | + | 0.132180i | ||||
\(315\) | 19.6952 | + | 3830.92i | 0.00352285 | + | 0.685231i | ||||
\(316\) | −3790.79 | − | 3981.21i | −0.674837 | − | 0.708735i | ||||
\(317\) | 1415.18 | + | 249.535i | 0.250740 | + | 0.0442122i | 0.297605 | − | 0.954689i | \(-0.403812\pi\) |
−0.0468655 | + | 0.998901i | \(0.514923\pi\) | |||||||
\(318\) | −3710.04 | + | 5701.09i | −0.654241 | + | 1.00535i | ||||
\(319\) | −411.714 | + | 1131.17i | −0.0722619 | + | 0.198538i | ||||
\(320\) | −6013.92 | − | 4906.66i | −1.05059 | − | 0.857159i | ||||
\(321\) | −792.523 | − | 2927.61i | −0.137802 | − | 0.509045i | ||||
\(322\) | 246.408 | + | 275.609i | 0.0426452 | + | 0.0476990i | ||||
\(323\) | 3100.94 | 0.534182 | ||||||||
\(324\) | −4729.27 | − | 3412.66i | −0.810917 | − | 0.585161i | ||||
\(325\) | −6135.04 | −1.04711 | ||||||||
\(326\) | −863.648 | − | 965.997i | −0.146727 | − | 0.164115i | ||||
\(327\) | −2199.33 | − | 8124.40i | −0.371936 | − | 1.37395i | ||||
\(328\) | −1751.39 | + | 6721.18i | −0.294830 | + | 1.13145i | ||||
\(329\) | −736.605 | + | 2023.80i | −0.123436 | + | 0.339137i | ||||
\(330\) | −7676.63 | + | 11796.4i | −1.28056 | + | 1.96779i | ||||
\(331\) | −976.067 | − | 172.107i | −0.162083 | − | 0.0285796i | 0.0920177 | − | 0.995757i | \(-0.470668\pi\) |
−0.254101 | + | 0.967178i | \(0.581779\pi\) | |||||||
\(332\) | −6768.89 | + | 6445.14i | −1.11895 | + | 1.06543i | ||||
\(333\) | −4754.17 | − | 2712.33i | −0.782363 | − | 0.446351i | ||||
\(334\) | 5141.59 | − | 2056.31i | 0.842321 | − | 0.336875i | ||||
\(335\) | 3550.19 | − | 1292.16i | 0.579008 | − | 0.210742i | ||||
\(336\) | 414.876 | − | 3084.84i | 0.0673611 | − | 0.500868i | ||||
\(337\) | 2064.80 | − | 1732.58i | 0.333760 | − | 0.280058i | −0.460470 | − | 0.887675i | \(-0.652319\pi\) |
0.794230 | + | 0.607618i | \(0.207875\pi\) | |||||||
\(338\) | 1832.43 | + | 2955.61i | 0.294885 | + | 0.475633i | ||||
\(339\) | −3555.87 | − | 301.890i | −0.569700 | − | 0.0483670i | ||||
\(340\) | 7040.57 | − | 442.526i | 1.12302 | − | 0.0705862i | ||||
\(341\) | 10981.1 | − | 6339.91i | 1.74386 | − | 1.00682i | ||||
\(342\) | 3020.99 | − | 2728.98i | 0.477650 | − | 0.431481i | ||||
\(343\) | 4850.45 | + | 2800.41i | 0.763555 | + | 0.440839i | ||||
\(344\) | 6854.21 | − | 9933.81i | 1.07429 | − | 1.55696i | ||||
\(345\) | 98.6903 | + | 1095.59i | 0.0154009 | + | 0.170970i | ||||
\(346\) | 1498.41 | + | 803.499i | 0.232818 | + | 0.124845i | ||||
\(347\) | −968.098 | − | 5490.36i | −0.149770 | − | 0.849389i | −0.963413 | − | 0.268023i | \(-0.913630\pi\) |
0.813642 | − | 0.581366i | \(-0.197481\pi\) | |||||||
\(348\) | 411.010 | − | 677.159i | 0.0633117 | − | 0.104309i | ||||
\(349\) | −3668.78 | − | 3078.47i | −0.562709 | − | 0.472169i | 0.316508 | − | 0.948590i | \(-0.397489\pi\) |
−0.879217 | + | 0.476421i | \(0.841934\pi\) | |||||||
\(350\) | −2746.22 | − | 395.821i | −0.419404 | − | 0.0604501i | ||||
\(351\) | 8186.45 | + | 652.649i | 1.24490 | + | 0.0992474i | ||||
\(352\) | 7503.46 | − | 8629.10i | 1.13618 | − | 1.30663i | ||||
\(353\) | −396.883 | + | 472.987i | −0.0598412 | + | 0.0713160i | −0.795135 | − | 0.606433i | \(-0.792600\pi\) |
0.735293 | + | 0.677749i | \(0.237044\pi\) | |||||||
\(354\) | 529.796 | + | 704.455i | 0.0795434 | + | 0.105767i | ||||
\(355\) | −15927.0 | + | 2808.35i | −2.38117 | + | 0.419865i | ||||
\(356\) | −626.080 | + | 849.087i | −0.0932084 | + | 0.126409i | ||||
\(357\) | 1628.61 | + | 2313.22i | 0.241443 | + | 0.342937i | ||||
\(358\) | 12480.7 | + | 4103.87i | 1.84253 | + | 0.605856i | ||||
\(359\) | 1335.22 | − | 2312.67i | 0.196296 | − | 0.339994i | −0.751029 | − | 0.660269i | \(-0.770442\pi\) |
0.947324 | + | 0.320275i | \(0.103775\pi\) | |||||||
\(360\) | 6469.60 | − | 6627.18i | 0.947160 | − | 0.970230i | ||||
\(361\) | −2008.57 | − | 3478.95i | −0.292838 | − | 0.507209i | ||||
\(362\) | −248.515 | − | 1189.76i | −0.0360819 | − | 0.172741i | ||||
\(363\) | −11340.7 | − | 7897.46i | −1.63976 | − | 1.14190i | ||||
\(364\) | 1754.51 | + | 4016.59i | 0.252641 | + | 0.578369i | ||||
\(365\) | 4456.06 | + | 5310.53i | 0.639016 | + | 0.761550i | ||||
\(366\) | −2604.17 | + | 2787.32i | −0.371919 | + | 0.398075i | ||||
\(367\) | 269.268 | + | 739.808i | 0.0382988 | + | 0.105225i | 0.957368 | − | 0.288871i | \(-0.0932799\pi\) |
−0.919069 | + | 0.394096i | \(0.871058\pi\) | |||||||
\(368\) | 43.7683 | − | 892.685i | 0.00619995 | − | 0.126452i | ||||
\(369\) | −7802.47 | − | 2794.52i | −1.10076 | − | 0.394247i | ||||
\(370\) | 5375.49 | − | 6830.60i | 0.755293 | − | 0.959746i | ||||
\(371\) | 752.213 | − | 4266.01i | 0.105264 | − | 0.596982i | ||||
\(372\) | −7901.34 | + | 2681.19i | −1.10125 | + | 0.373692i | ||||
\(373\) | −1529.41 | − | 556.660i | −0.212305 | − | 0.0772728i | 0.233678 | − | 0.972314i | \(-0.424924\pi\) |
−0.445984 | + | 0.895041i | \(0.647146\pi\) | |||||||
\(374\) | 326.147 | + | 10388.2i | 0.0450927 | + | 1.43626i | ||||
\(375\) | 1127.60 | + | 1121.82i | 0.155277 | + | 0.154481i | ||||
\(376\) | 4703.52 | − | 2232.87i | 0.645121 | − | 0.306254i | ||||
\(377\) | 1115.45i | 0.152384i | ||||||||
\(378\) | 3622.37 | + | 820.318i | 0.492896 | + | 0.111621i | ||||
\(379\) | 4570.49i | 0.619447i | 0.950827 | + | 0.309724i | \(0.100237\pi\) | ||||
−0.950827 | + | 0.309724i | \(0.899763\pi\) | |||||||
\(380\) | 3577.39 | + | 5385.11i | 0.482937 | + | 0.726974i | ||||
\(381\) | 163.735 | − | 617.412i | 0.0220168 | − | 0.0830210i | ||||
\(382\) | −10598.4 | + | 332.747i | −1.41954 | + | 0.0445676i | ||||
\(383\) | −7161.59 | − | 2606.61i | −0.955457 | − | 0.347758i | −0.183205 | − | 0.983075i | \(-0.558647\pi\) |
−0.772252 | + | 0.635317i | \(0.780870\pi\) | |||||||
\(384\) | −5951.00 | + | 4605.29i | −0.790849 | + | 0.612012i | ||||
\(385\) | 1556.44 | − | 8827.02i | 0.206035 | − | 1.16848i | ||||
\(386\) | 1336.11 | + | 1051.48i | 0.176181 | + | 0.138650i | ||||
\(387\) | 11079.4 | + | 9200.10i | 1.45530 | + | 1.20844i | ||||
\(388\) | −2036.70 | − | 8420.95i | −0.266489 | − | 1.10183i | ||||
\(389\) | −1460.10 | − | 4011.58i | −0.190308 | − | 0.522867i | 0.807439 | − | 0.589951i | \(-0.200853\pi\) |
−0.997747 | + | 0.0670836i | \(0.978631\pi\) | |||||||
\(390\) | −2945.82 | + | 12704.7i | −0.382481 | + | 1.64955i | ||||
\(391\) | 522.154 | + | 622.279i | 0.0675358 | + | 0.0804860i | ||||
\(392\) | −1534.13 | − | 5571.59i | −0.197666 | − | 0.717878i | ||||
\(393\) | 7027.36 | − | 3298.93i | 0.901993 | − | 0.423432i | ||||
\(394\) | 11620.6 | − | 2427.31i | 1.48589 | − | 0.310371i | ||||
\(395\) | 5208.47 | + | 9021.33i | 0.663459 | + | 1.14915i | ||||
\(396\) | 9459.90 | + | 9833.35i | 1.20045 | + | 1.24784i | ||||
\(397\) | 396.638 | − | 686.998i | 0.0501428 | − | 0.0868499i | −0.839865 | − | 0.542796i | \(-0.817366\pi\) |
0.890007 | + | 0.455946i | \(0.150699\pi\) | |||||||
\(398\) | −1874.40 | + | 5700.45i | −0.236069 | + | 0.717934i | ||||
\(399\) | −1089.66 | + | 2352.56i | −0.136720 | + | 0.295176i | ||||
\(400\) | 4054.80 | + | 5343.36i | 0.506851 | + | 0.667919i | ||||
\(401\) | 3089.21 | − | 544.711i | 0.384708 | − | 0.0678344i | 0.0220504 | − | 0.999757i | \(-0.492981\pi\) |
0.362658 | + | 0.931922i | \(0.381869\pi\) | |||||||
\(402\) | −442.925 | − | 3635.90i | −0.0549530 | − | 0.451100i | ||||
\(403\) | 7552.46 | − | 9000.67i | 0.933535 | − | 1.11254i | ||||
\(404\) | −2817.68 | + | 9571.50i | −0.346992 | + | 1.17871i | ||||
\(405\) | 7190.24 | + | 8392.23i | 0.882188 | + | 1.02966i | ||||
\(406\) | −71.9669 | + | 499.308i | −0.00879718 | + | 0.0610351i | ||||
\(407\) | 9810.04 | + | 8231.60i | 1.19476 | + | 1.00252i | ||||
\(408\) | 1123.85 | − | 6746.28i | 0.136370 | − | 0.818605i | ||||
\(409\) | 1647.08 | + | 9341.04i | 0.199127 | + | 1.12930i | 0.906418 | + | 0.422381i | \(0.138806\pi\) |
−0.707292 | + | 0.706922i | \(0.750083\pi\) | |||||||
\(410\) | 6219.80 | − | 11599.0i | 0.749205 | − | 1.39716i | ||||
\(411\) | 4231.70 | + | 1960.05i | 0.507870 | + | 0.235236i | ||||
\(412\) | 1387.04 | + | 688.640i | 0.165861 | + | 0.0823467i | ||||
\(413\) | −486.139 | − | 280.673i | −0.0579209 | − | 0.0334407i | ||||
\(414\) | 1056.33 | + | 146.713i | 0.125400 | + | 0.0174168i | ||||
\(415\) | 15338.2 | − | 8855.49i | 1.81427 | − | 1.04747i | ||||
\(416\) | 3798.84 | − | 9891.84i | 0.447725 | − | 1.16583i | ||||
\(417\) | 2098.54 | + | 4470.30i | 0.246441 | + | 0.524968i | ||||
\(418\) | −8095.36 | + | 5019.00i | −0.947266 | + | 0.587290i | ||||
\(419\) | 5196.25 | − | 4360.17i | 0.605856 | − | 0.508373i | −0.287466 | − | 0.957791i | \(-0.592813\pi\) |
0.893322 | + | 0.449417i | \(0.148368\pi\) | |||||||
\(420\) | −2138.31 | + | 5496.90i | −0.248426 | + | 0.638622i | ||||
\(421\) | −418.761 | + | 152.417i | −0.0484779 | + | 0.0176445i | −0.366145 | − | 0.930558i | \(-0.619323\pi\) |
0.317667 | + | 0.948202i | \(0.397100\pi\) | |||||||
\(422\) | −5304.78 | − | 13264.1i | −0.611925 | − | 1.53006i | ||||
\(423\) | 2154.87 | + | 5827.07i | 0.247691 | + | 0.669792i | ||||
\(424\) | −8536.83 | + | 6065.64i | −0.977795 | + | 0.694749i | ||||
\(425\) | −6003.92 | − | 1058.65i | −0.685254 | − | 0.120829i | ||||
\(426\) | −835.473 | + | 15657.0i | −0.0950207 | + | 1.78072i | ||||
\(427\) | 830.868 | − | 2282.79i | 0.0941651 | − | 0.258717i | ||||
\(428\) | 520.796 | − | 4640.46i | 0.0588169 | − | 0.524077i | ||||
\(429\) | −18572.3 | − | 4925.31i | −2.09017 | − | 0.554304i | ||||
\(430\) | −17049.4 | + | 15243.0i | −1.91208 | + | 1.70949i | ||||
\(431\) | −8404.19 | −0.939247 | −0.469624 | − | 0.882867i | \(-0.655610\pi\) | ||||
−0.469624 | + | 0.882867i | \(0.655610\pi\) | |||||||
\(432\) | −4842.20 | − | 7561.39i | −0.539284 | − | 0.842124i | ||||
\(433\) | 10685.9 | 1.18599 | 0.592993 | − | 0.805208i | \(-0.297946\pi\) | ||||
0.592993 | + | 0.805208i | \(0.297946\pi\) | |||||||
\(434\) | 3961.40 | − | 3541.68i | 0.438141 | − | 0.391719i | ||||
\(435\) | −1058.66 | + | 1064.11i | −0.116687 | + | 0.117288i | ||||
\(436\) | 1445.26 | − | 12877.7i | 0.158751 | − | 1.41452i | ||||
\(437\) | −254.620 | + | 699.562i | −0.0278721 | + | 0.0765781i | ||||
\(438\) | 5991.28 | − | 3045.54i | 0.653595 | − | 0.332241i | ||||
\(439\) | 2048.91 | + | 361.277i | 0.222754 | + | 0.0392775i | 0.283911 | − | 0.958851i | \(-0.408368\pi\) |
−0.0611572 | + | 0.998128i | \(0.519479\pi\) | |||||||
\(440\) | −17664.0 | + | 12550.7i | −1.91386 | + | 1.35985i | ||||
\(441\) | 6784.68 | − | 1232.32i | 0.732607 | − | 0.133066i | ||||
\(442\) | 3576.30 | + | 8942.17i | 0.384858 | + | 0.962298i | ||||
\(443\) | −490.463 | + | 178.514i | −0.0526018 | + | 0.0191455i | −0.368187 | − | 0.929752i | \(-0.620021\pi\) |
0.315585 | + | 0.948897i | \(0.397799\pi\) | |||||||
\(444\) | −5273.92 | − | 6572.62i | −0.563714 | − | 0.702529i | ||||
\(445\) | 1531.37 | − | 1284.97i | 0.163132 | − | 0.136884i | ||||
\(446\) | 2707.61 | − | 1678.67i | 0.287464 | − | 0.178223i | ||||
\(447\) | 9021.49 | − | 12954.8i | 0.954590 | − | 1.37078i | ||||
\(448\) | 2338.67 | − | 4182.77i | 0.246634 | − | 0.441110i | ||||
\(449\) | −7005.08 | + | 4044.38i | −0.736281 | + | 0.425092i | −0.820715 | − | 0.571337i | \(-0.806425\pi\) |
0.0844347 | + | 0.996429i | \(0.473092\pi\) | |||||||
\(450\) | −6780.80 | + | 4252.40i | −0.710333 | + | 0.445467i | ||||
\(451\) | 16792.9 | + | 9695.36i | 1.75331 | + | 1.01228i | ||||
\(452\) | −4921.17 | − | 2443.26i | −0.512107 | − | 0.254251i | ||||
\(453\) | −10249.7 | + | 7216.28i | −1.06308 | + | 0.748455i | ||||
\(454\) | 4097.64 | − | 7641.51i | 0.423594 | − | 0.789942i | ||||
\(455\) | −1442.25 | − | 8179.40i | −0.148602 | − | 0.842761i | ||||
\(456\) | 5869.30 | − | 2199.35i | 0.602752 | − | 0.225864i | ||||
\(457\) | 10880.4 | + | 9129.76i | 1.11371 | + | 0.934513i | 0.998270 | − | 0.0588017i | \(-0.0187280\pi\) |
0.115439 | + | 0.993315i | \(0.463172\pi\) | |||||||
\(458\) | 1161.83 | − | 8060.81i | 0.118534 | − | 0.822395i | ||||
\(459\) | 7898.87 | + | 2051.34i | 0.803241 | + | 0.208602i | ||||
\(460\) | −478.273 | + | 1624.67i | −0.0484774 | + | 0.164675i | ||||
\(461\) | −5523.90 | + | 6583.13i | −0.558078 | + | 0.665091i | −0.969139 | − | 0.246517i | \(-0.920714\pi\) |
0.411061 | + | 0.911608i | \(0.365158\pi\) | |||||||
\(462\) | −7995.73 | − | 3402.96i | −0.805184 | − | 0.342684i | ||||
\(463\) | −7384.89 | + | 1302.16i | −0.741264 | + | 0.130705i | −0.531513 | − | 0.847050i | \(-0.678376\pi\) |
−0.209751 | + | 0.977755i | \(0.567265\pi\) | |||||||
\(464\) | 971.512 | − | 737.231i | 0.0972011 | − | 0.0737610i | ||||
\(465\) | 15747.2 | − | 1418.50i | 1.57045 | − | 0.141466i | ||||
\(466\) | −3192.19 | + | 9708.10i | −0.317329 | + | 0.965062i | ||||
\(467\) | −1979.88 | + | 3429.26i | −0.196184 | + | 0.339801i | −0.947288 | − | 0.320383i | \(-0.896188\pi\) |
0.751104 | + | 0.660184i | \(0.229522\pi\) | |||||||
\(468\) | 11353.7 | + | 5564.29i | 1.12142 | + | 0.549593i | ||||
\(469\) | 1166.32 | + | 2020.12i | 0.114831 | + | 0.198892i | ||||
\(470\) | −9657.70 | + | 2017.29i | −0.947822 | + | 0.197980i | ||||
\(471\) | 307.801 | − | 3625.49i | 0.0301119 | − | 0.354679i | ||||
\(472\) | 360.259 | + | 1308.38i | 0.0351319 | + | 0.127591i | ||||
\(473\) | −21658.2 | − | 25811.2i | −2.10538 | − | 2.50909i | ||||
\(474\) | 9660.67 | − | 2943.52i | 0.936137 | − | 0.285233i | ||||
\(475\) | −1910.93 | − | 5250.23i | −0.184588 | − | 0.507152i | ||||
\(476\) | 1023.92 | + | 4233.50i | 0.0985951 | + | 0.407652i | ||||
\(477\) | −6303.56 | − | 10789.6i | −0.605074 | − | 1.03569i | ||||
\(478\) | 5902.47 | + | 4645.07i | 0.564796 | + | 0.444479i | ||||
\(479\) | −1901.74 | + | 10785.3i | −0.181404 | + | 1.02880i | 0.749084 | + | 0.662475i | \(0.230494\pi\) |
−0.930489 | + | 0.366321i | \(0.880617\pi\) | |||||||
\(480\) | 13012.2 | − | 5831.14i | 1.23734 | − | 0.554488i | ||||
\(481\) | 11150.9 | + | 4058.60i | 1.05704 | + | 0.384732i | ||||
\(482\) | −16436.0 | + | 516.023i | −1.55320 | + | 0.0487639i | ||||
\(483\) | −655.583 | + | 177.470i | −0.0617599 | + | 0.0167188i | ||||
\(484\) | −11773.2 | − | 17722.5i | −1.10568 | − | 1.66439i | ||||
\(485\) | 16417.2i | 1.53704i | ||||||||
\(486\) | 9500.50 | − | 4952.95i | 0.886731 | − | 0.462285i | ||||
\(487\) | − | 13593.2i | − | 1.26482i | −0.774633 | − | 0.632410i | \(-0.782066\pi\) | ||
0.774633 | − | 0.632410i | \(-0.217934\pi\) | |||||||
\(488\) | −5305.43 | + | 2518.61i | −0.492142 | + | 0.233631i | ||||
\(489\) | 2297.79 | − | 622.026i | 0.212494 | − | 0.0575235i | ||||
\(490\) | 343.636 | + | 10945.3i | 0.0316814 | + | 1.00910i | ||||
\(491\) | 16201.9 | + | 5897.01i | 1.48917 | + | 0.542012i | 0.953230 | − | 0.302246i | \(-0.0977362\pi\) |
0.535937 | + | 0.844258i | \(0.319958\pi\) | |||||||
\(492\) | −9592.51 | − | 8414.24i | −0.878991 | − | 0.771023i | ||||
\(493\) | −192.481 | + | 1091.61i | −0.0175840 | + | 0.0997238i | ||||
\(494\) | −5458.38 | + | 6935.93i | −0.497134 | + | 0.631705i | ||||
\(495\) | −13043.0 | − | 22325.3i | −1.18432 | − | 2.02717i | ||||
\(496\) | −12830.8 | − | 629.093i | −1.16153 | − | 0.0569499i | ||||
\(497\) | −3415.18 | − | 9383.14i | −0.308233 | − | 0.846864i | ||||
\(498\) | −5004.61 | − | 16425.2i | −0.450325 | − | 1.47797i | ||||
\(499\) | −9571.89 | − | 11407.3i | −0.858711 | − | 1.02337i | −0.999445 | − | 0.0333245i | \(-0.989391\pi\) |
0.140733 | − | 0.990048i | \(-0.455054\pi\) | |||||||
\(500\) | 980.263 | + | 2244.10i | 0.0876774 | + | 0.200719i | ||||
\(501\) | −860.591 | + | 10136.6i | −0.0767433 | + | 0.903936i | ||||
\(502\) | −1150.88 | − | 5509.77i | −0.102323 | − | 0.489867i | ||||
\(503\) | −2523.88 | − | 4371.49i | −0.223726 | − | 0.387505i | 0.732210 | − | 0.681078i | \(-0.238489\pi\) |
−0.955936 | + | 0.293574i | \(0.905155\pi\) | |||||||
\(504\) | 4723.22 | + | 3223.25i | 0.417438 | + | 0.284871i | ||||
\(505\) | 9453.42 | − | 16373.8i | 0.833013 | − | 1.44282i | ||||
\(506\) | −2370.33 | − | 779.405i | −0.208249 | − | 0.0684759i | ||||
\(507\) | −6362.92 | + | 573.168i | −0.557371 | + | 0.0502077i | ||||
\(508\) | 583.632 | − | 791.519i | 0.0509734 | − | 0.0691298i | ||||
\(509\) | −3003.06 | + | 529.520i | −0.261509 | + | 0.0461112i | −0.302865 | − | 0.953033i | \(-0.597943\pi\) |
0.0413561 | + | 0.999144i | \(0.486832\pi\) | |||||||
\(510\) | −5075.16 | + | 11924.8i | −0.440651 | + | 1.03537i | ||||
\(511\) | −2751.26 | + | 3278.83i | −0.238177 | + | 0.283849i | ||||
\(512\) | −11126.1 | + | 3229.14i | −0.960370 | + | 0.278729i | ||||
\(513\) | 1991.37 | + | 7209.07i | 0.171387 | + | 0.620445i | ||||
\(514\) | 4408.66 | + | 635.435i | 0.378322 | + | 0.0545288i | ||||
\(515\) | −2247.92 | − | 1886.23i | −0.192340 | − | 0.161393i | ||||
\(516\) | 10662.5 | + | 19440.1i | 0.909668 | + | 1.65853i | ||||
\(517\) | −2524.11 | − | 14314.9i | −0.214720 | − | 1.21774i | ||||
\(518\) | 4729.61 | + | 2536.18i | 0.401172 | + | 0.215122i | ||||
\(519\) | −2554.05 | + | 1798.17i | −0.216013 | + | 0.152083i | ||||
\(520\) | −11403.3 | + | 16526.7i | −0.961665 | + | 1.39374i | ||||
\(521\) | −17344.6 | − | 10013.9i | −1.45850 | − | 0.842066i | −0.459563 | − | 0.888145i | \(-0.651994\pi\) |
−0.998938 | + | 0.0460794i | \(0.985327\pi\) | |||||||
\(522\) | 773.158 | + | 1232.86i | 0.0648280 | + | 0.103373i | ||||
\(523\) | −15266.3 | + | 8813.97i | −1.27638 | + | 0.736918i | −0.976181 | − | 0.216959i | \(-0.930386\pi\) |
−0.300199 | + | 0.953877i | \(0.597053\pi\) | |||||||
\(524\) | 11928.6 | − | 749.758i | 0.994474 | − | 0.0625064i | ||||
\(525\) | 2912.92 | − | 4182.93i | 0.242153 | − | 0.347730i | ||||
\(526\) | −5133.11 | − | 8279.42i | −0.425503 | − | 0.686312i | ||||
\(527\) | 8944.19 | − | 7505.07i | 0.739307 | − | 0.620353i | ||||
\(528\) | 7985.20 | + | 19431.0i | 0.658165 | + | 1.60156i | ||||
\(529\) | 11250.0 | − | 4094.66i | 0.924631 | − | 0.336538i | ||||
\(530\) | 18425.3 | − | 7368.96i | 1.51009 | − | 0.603938i | ||||
\(531\) | −1593.25 | + | 289.386i | −0.130209 | + | 0.0236502i | ||||
\(532\) | −2890.82 | + | 2752.55i | −0.235588 | + | 0.224320i | ||||
\(533\) | 17695.1 | + | 3120.12i | 1.43801 | + | 0.253560i | ||||
\(534\) | −878.224 | − | 1727.67i | −0.0711695 | − | 0.140007i | ||||
\(535\) | −3026.37 | + | 8314.89i | −0.244564 | + | 0.671933i | ||||
\(536\) | 1421.97 | − | 5457.00i | 0.114589 | − | 0.439751i | ||||
\(537\) | −17023.0 | + | 17110.7i | −1.36796 | + | 1.37501i | ||||
\(538\) | −6133.27 | − | 6860.10i | −0.491494 | − | 0.549740i | ||||
\(539\) | −16133.6 | −1.28928 | ||||||||
\(540\) | 5550.13 | + | 16083.8i | 0.442295 | + | 1.28173i | ||||
\(541\) | 2484.05 | 0.197408 | 0.0987039 | − | 0.995117i | \(-0.468530\pi\) | ||||
0.0987039 | + | 0.995117i | \(0.468530\pi\) | |||||||
\(542\) | −7166.65 | − | 8015.95i | −0.567959 | − | 0.635267i | ||||
\(543\) | 2158.29 | + | 572.369i | 0.170573 | + | 0.0452352i | ||||
\(544\) | 5424.58 | − | 9024.91i | 0.427531 | − | 0.711286i | ||||
\(545\) | −8398.47 | + | 23074.6i | −0.660093 | + | 1.81359i | ||||
\(546\) | −8040.77 | − | 429.063i | −0.630244 | − | 0.0336304i | ||||
\(547\) | 16666.3 | + | 2938.71i | 1.30274 | + | 0.229708i | 0.781609 | − | 0.623769i | \(-0.214399\pi\) |
0.521131 | + | 0.853477i | \(0.325510\pi\) | |||||||
\(548\) | 4951.20 | + | 5199.91i | 0.385958 | + | 0.405345i | ||||
\(549\) | −2430.63 | − | 6572.76i | −0.188956 | − | 0.510963i | ||||
\(550\) | 17387.4 | − | 6953.87i | 1.34800 | − | 0.539116i | ||||
\(551\) | −954.581 | + | 347.439i | −0.0738049 | + | 0.0268628i | ||||
\(552\) | 1429.66 | + | 807.479i | 0.110236 | + | 0.0622620i | ||||
\(553\) | −4926.91 | + | 4134.17i | −0.378867 | + | 0.317907i | ||||
\(554\) | 3364.39 | + | 5426.58i | 0.258013 | + | 0.416161i | ||||
\(555\) | 6785.74 | + | 14454.9i | 0.518988 | + | 1.10555i | ||||
\(556\) | 476.943 | + | 7588.14i | 0.0363793 | + | 0.578793i | ||||
\(557\) | 11651.7 | − | 6727.11i | 0.886353 | − | 0.511736i | 0.0136051 | − | 0.999907i | \(-0.495669\pi\) |
0.872748 | + | 0.488171i | \(0.162336\pi\) | |||||||
\(558\) | 2108.74 | − | 15182.9i | 0.159982 | − | 1.15187i | ||||
\(559\) | −27039.1 | − | 15611.0i | −2.04585 | − | 1.18117i | ||||
\(560\) | −6170.69 | + | 6662.11i | −0.465641 | + | 0.502724i | ||||
\(561\) | −17325.5 | − | 8024.87i | −1.30389 | − | 0.603940i | ||||
\(562\) | 2191.85 | + | 1175.35i | 0.164515 | + | 0.0882187i | ||||
\(563\) | −57.4211 | − | 325.651i | −0.00429842 | − | 0.0243776i | 0.982583 | − | 0.185824i | \(-0.0594953\pi\) |
−0.986882 | + | 0.161446i | \(0.948384\pi\) | |||||||
\(564\) | −209.697 | + | 9562.86i | −0.0156558 | + | 0.713952i | ||||
\(565\) | 7975.53 | + | 6692.26i | 0.593864 | + | 0.498311i | ||||
\(566\) | 16206.0 | + | 2335.83i | 1.20352 | + | 0.173467i | ||||
\(567\) | −4331.91 | + | 5271.72i | −0.320852 | + | 0.390461i | ||||
\(568\) | −10051.0 | + | 21947.9i | −0.742480 | + | 1.62133i | ||||
\(569\) | 4492.95 | − | 5354.48i | 0.331027 | − | 0.394502i | −0.574700 | − | 0.818364i | \(-0.694881\pi\) |
0.905727 | + | 0.423862i | \(0.139326\pi\) | |||||||
\(570\) | −11789.9 | + | 1436.25i | −0.866361 | + | 0.105540i | ||||
\(571\) | 9805.65 | − | 1729.00i | 0.718658 | − | 0.126719i | 0.197652 | − | 0.980272i | \(-0.436668\pi\) |
0.521005 | + | 0.853553i | \(0.325557\pi\) | |||||||
\(572\) | −23809.6 | − | 17556.2i | −1.74044 | − | 1.28332i | ||||
\(573\) | 8187.27 | − | 17676.1i | 0.596907 | − | 1.28871i | ||||
\(574\) | 7719.52 | + | 2538.31i | 0.561335 | + | 0.184577i | ||||
\(575\) | 731.816 | − | 1267.54i | 0.0530762 | − | 0.0919307i | ||||
\(576\) | −2657.66 | − | 13566.1i | −0.192250 | − | 0.981346i | ||||
\(577\) | 1949.65 | + | 3376.90i | 0.140667 | + | 0.243643i | 0.927748 | − | 0.373207i | \(-0.121742\pi\) |
−0.787081 | + | 0.616850i | \(0.788409\pi\) | |||||||
\(578\) | −884.459 | − | 4234.31i | −0.0636482 | − | 0.304713i | ||||
\(579\) | −2827.47 | + | 1327.33i | −0.202946 | + | 0.0952711i | ||||
\(580\) | −2117.76 | + | 925.074i | −0.151612 | + | 0.0662269i | ||||
\(581\) | 7028.95 | + | 8376.78i | 0.501911 | + | 0.598154i | ||||
\(582\) | 15505.0 | + | 3595.13i | 1.10430 | + | 0.256053i | ||||
\(583\) | 9999.49 | + | 27473.4i | 0.710354 | + | 1.95168i | ||||
\(584\) | 10301.7 | − | 972.850i | 0.729944 | − | 0.0689329i | ||||
\(585\) | −18432.7 | − | 15306.1i | −1.30273 | − | 1.08176i | ||||
\(586\) | −4098.88 | + | 5208.42i | −0.288947 | + | 0.367164i | ||||
\(587\) | −1555.36 | + | 8820.90i | −0.109364 | + | 0.620234i | 0.880023 | + | 0.474931i | \(0.157527\pi\) |
−0.989387 | + | 0.145303i | \(0.953584\pi\) | |||||||
\(588\) | 10412.4 | + | 2072.32i | 0.730271 | + | 0.145342i | ||||
\(589\) | 10055.0 | + | 3659.72i | 0.703411 | + | 0.256021i | ||||
\(590\) | −80.6962 | − | 2570.28i | −0.00563086 | − | 0.179350i | ||||
\(591\) | −5590.47 | + | 21080.5i | −0.389105 | + | 1.46724i | ||||
\(592\) | −3835.06 | − | 12394.4i | −0.266250 | − | 0.860484i | ||||
\(593\) | 24542.7i | 1.69957i | 0.527127 | + | 0.849787i | \(0.323269\pi\) | ||||
−0.527127 | + | 0.849787i | \(0.676731\pi\) | |||||||
\(594\) | −23941.1 | + | 7429.38i | −1.65373 | + | 0.513184i | ||||
\(595\) | − | 8253.47i | − | 0.568671i | ||||||
\(596\) | 20244.9 | − | 13448.9i | 1.39138 | − | 0.924309i | ||||
\(597\) | −7815.16 | − | 7775.08i | −0.535767 | − | 0.533020i | ||||
\(598\) | −2310.98 | + | 72.5552i | −0.158032 | + | 0.00496155i | ||||
\(599\) | −7589.25 | − | 2762.26i | −0.517677 | − | 0.188419i | 0.0699509 | − | 0.997550i | \(-0.477716\pi\) |
−0.587628 | + | 0.809132i | \(0.699938\pi\) | |||||||
\(600\) | −12114.8 | + | 2254.54i | −0.824307 | + | 0.153402i | ||||
\(601\) | 4190.81 | − | 23767.3i | 0.284437 | − | 1.61312i | −0.422852 | − | 0.906199i | \(-0.638971\pi\) |
0.707289 | − | 0.706924i | \(-0.249918\pi\) | |||||||
\(602\) | −11096.3 | − | 8732.45i | −0.751246 | − | 0.591209i | ||||
\(603\) | 6334.90 | + | 2268.90i | 0.427823 | + | 0.153229i | ||||
\(604\) | −18758.4 | + | 4536.92i | −1.26369 | + | 0.305637i | ||||
\(605\) | 13789.4 | + | 37886.2i | 0.926645 | + | 2.54594i | ||||
\(606\) | −13393.9 | − | 12513.8i | −0.897836 | − | 0.838843i | ||||
\(607\) | 555.210 | + | 661.673i | 0.0371256 | + | 0.0442446i | 0.784288 | − | 0.620397i | \(-0.213029\pi\) |
−0.747162 | + | 0.664642i | \(0.768584\pi\) | |||||||
\(608\) | 9648.47 | + | 169.880i | 0.643581 | + | 0.0113315i | ||||
\(609\) | −760.527 | − | 529.618i | −0.0506044 | − | 0.0352401i | ||||
\(610\) | 10893.6 | − | 2275.44i | 0.723063 | − | 0.151033i | ||||
\(611\) | −6734.66 | − | 11664.8i | −0.445917 | − | 0.772351i | ||||
\(612\) | 10150.8 | + | 7404.54i | 0.670463 | + | 0.489070i | ||||
\(613\) | −14128.3 | + | 24470.9i | −0.930891 | + | 1.61235i | −0.149089 | + | 0.988824i | \(0.547634\pi\) |
−0.781802 | + | 0.623526i | \(0.785699\pi\) | |||||||
\(614\) | 4102.80 | − | 12477.5i | 0.269667 | − | 0.820113i | ||||
\(615\) | 13919.4 | + | 19770.6i | 0.912659 | + | 1.29631i | ||||
\(616\) | −9525.16 | − | 9394.80i | −0.623019 | − | 0.614492i | ||||
\(617\) | 17730.5 | − | 3126.37i | 1.15690 | − | 0.203992i | 0.437912 | − | 0.899018i | \(-0.355718\pi\) |
0.718985 | + | 0.695026i | \(0.244607\pi\) | |||||||
\(618\) | −2273.69 | + | 1709.96i | −0.147996 | + | 0.111302i | ||||
\(619\) | −6128.15 | + | 7303.24i | −0.397918 | + | 0.474220i | −0.927384 | − | 0.374111i | \(-0.877948\pi\) |
0.529466 | + | 0.848331i | \(0.322392\pi\) | |||||||
\(620\) | 23351.8 | + | 6874.35i | 1.51263 | + | 0.445291i | ||||
\(621\) | −1111.36 | + | 1613.53i | −0.0718153 | + | 0.104265i | ||||
\(622\) | 3332.50 | − | 23121.0i | 0.214825 | − | 1.49046i | ||||
\(623\) | 945.496 | + | 793.365i | 0.0608034 | + | 0.0510201i | ||||
\(624\) | 13111.3 | + | 14388.8i | 0.841142 | + | 0.923097i | ||||
\(625\) | −3080.75 | − | 17471.8i | −0.197168 | − | 1.11820i | ||||
\(626\) | 12707.8 | − | 23698.2i | 0.811352 | − | 1.51305i | ||||
\(627\) | −1569.90 | − | 17427.9i | −0.0999932 | − | 1.11006i | ||||
\(628\) | 2491.10 | − | 5017.53i | 0.158289 | − | 0.318823i | ||||
\(629\) | 10212.2 | + | 5896.04i | 0.647359 | + | 0.373753i | ||||
\(630\) | −7263.47 | − | 8040.67i | −0.459339 | − | 0.508489i | ||||
\(631\) | 13250.3 | − | 7650.06i | 0.835952 | − | 0.482637i | −0.0199339 | − | 0.999801i | \(-0.506346\pi\) |
0.855886 | + | 0.517164i | \(0.173012\pi\) | |||||||
\(632\) | 15498.5 | + | 1248.40i | 0.975468 | + | 0.0785737i | ||||
\(633\) | 26150.1 | + | 2220.12i | 1.64198 | + | 0.139402i | ||||
\(634\) | −3454.44 | + | 2141.70i | −0.216393 | + | 0.134160i | ||||
\(635\) | −1427.54 | + | 1197.85i | −0.0892128 | + | 0.0748585i | ||||
\(636\) | −2924.63 | − | 19015.3i | −0.182341 | − | 1.18554i | ||||
\(637\) | −14048.3 | + | 5113.18i | −0.873808 | + | 0.318040i | ||||
\(638\) | −1264.33 | − | 3161.33i | −0.0784565 | − | 0.196173i | ||||
\(639\) | −25019.3 | − | 14273.9i | −1.54890 | − | 0.883674i | ||||
\(640\) | 21930.8 | − | 991.198i | 1.35452 | − | 0.0612196i | ||||
\(641\) | −28261.5 | − | 4983.26i | −1.74144 | − | 0.307063i | −0.789590 | − | 0.613634i | \(-0.789707\pi\) |
−0.951848 | + | 0.306572i | \(0.900818\pi\) | |||||||
\(642\) | 7190.16 | + | 4679.07i | 0.442014 | + | 0.287645i | ||||
\(643\) | 2511.32 | − | 6899.78i | 0.154023 | − | 0.423174i | −0.838550 | − | 0.544824i | \(-0.816596\pi\) |
0.992573 | + | 0.121650i | \(0.0388186\pi\) | |||||||
\(644\) | −1039.14 | − | 116.622i | −0.0635837 | − | 0.00713596i | ||||
\(645\) | −10978.5 | − | 40554.9i | −0.670196 | − | 2.47573i | ||||
\(646\) | −6538.58 | + | 5845.80i | −0.398230 | + | 0.356037i | ||||
\(647\) | 17871.7 | 1.08595 | 0.542975 | − | 0.839749i | \(-0.317298\pi\) | ||||
0.542975 | + | 0.839749i | \(0.317298\pi\) | |||||||
\(648\) | 16405.5 | − | 1719.63i | 0.994551 | − | 0.104249i | ||||
\(649\) | 3788.66 | 0.229149 | ||||||||
\(650\) | 12936.2 | − | 11565.6i | 0.780617 | − | 0.697909i | ||||
\(651\) | 2550.83 | + | 9422.86i | 0.153571 | + | 0.567298i | ||||
\(652\) | 3642.14 | + | 408.756i | 0.218769 | + | 0.0245523i | ||||
\(653\) | −3855.07 | + | 10591.7i | −0.231027 | + | 0.634741i | −0.999990 | − | 0.00455228i | \(-0.998551\pi\) |
0.768963 | + | 0.639294i | \(0.220773\pi\) | |||||||
\(654\) | 19953.4 | + | 12984.9i | 1.19303 | + | 0.776373i | ||||
\(655\) | −22304.4 | − | 3932.86i | −1.33054 | − | 0.234610i | ||||
\(656\) | −8977.65 | − | 17473.8i | −0.534327 | − | 1.04000i | ||||
\(657\) | 63.4771 | + | 12347.0i | 0.00376937 | + | 0.733182i | ||||
\(658\) | −2262.03 | − | 5655.99i | −0.134017 | − | 0.335096i | ||||
\(659\) | 8320.77 | − | 3028.51i | 0.491853 | − | 0.179020i | −0.0841731 | − | 0.996451i | \(-0.526825\pi\) |
0.576026 | + | 0.817431i | \(0.304603\pi\) | |||||||
\(660\) | −6051.49 | − | 39345.5i | −0.356900 | − | 2.32049i | ||||
\(661\) | −19281.3 | + | 16178.9i | −1.13458 | + | 0.952023i | −0.999248 | − | 0.0387774i | \(-0.987654\pi\) |
−0.135329 | + | 0.990801i | \(0.543209\pi\) | |||||||
\(662\) | 2382.57 | − | 1477.16i | 0.139881 | − | 0.0867240i | ||||
\(663\) | −17629.5 | − | 1496.73i | −1.03269 | − | 0.0876743i | ||||
\(664\) | 2122.54 | − | 26350.6i | 0.124052 | − | 1.54006i | ||||
\(665\) | 6550.53 | − | 3781.95i | 0.381983 | − | 0.220538i | ||||
\(666\) | 15137.8 | − | 3243.27i | 0.880746 | − | 0.188700i | ||||
\(667\) | −230.460 | − | 133.056i | −0.0133785 | − | 0.00772408i | ||||
\(668\) | −6964.96 | + | 14028.7i | −0.403417 | + | 0.812554i | ||||
\(669\) | 525.075 | + | 5829.02i | 0.0303446 | + | 0.336865i | ||||
\(670\) | −5049.92 | + | 9417.37i | −0.291187 | + | 0.543022i | ||||
\(671\) | 2847.12 | + | 16146.8i | 0.163803 | + | 0.928973i | ||||
\(672\) | 4940.65 | + | 7286.74i | 0.283616 | + | 0.418292i | ||||
\(673\) | 2344.08 | + | 1966.91i | 0.134261 | + | 0.112658i | 0.707445 | − | 0.706768i | \(-0.249848\pi\) |
−0.573184 | + | 0.819426i | \(0.694292\pi\) | |||||||
\(674\) | −1087.60 | + | 7545.79i | −0.0621554 | + | 0.431236i | ||||
\(675\) | −1394.47 | − | 14637.8i | −0.0795156 | − | 0.834680i | ||||
\(676\) | −9435.66 | − | 2777.69i | −0.536849 | − | 0.158039i | ||||
\(677\) | 6212.47 | − | 7403.74i | 0.352681 | − | 0.420308i | −0.560314 | − | 0.828280i | \(-0.689319\pi\) |
0.912994 | + | 0.407972i | \(0.133764\pi\) | |||||||
\(678\) | 8066.95 | − | 6066.87i | 0.456946 | − | 0.343653i | ||||
\(679\) | −9982.29 | + | 1760.15i | −0.564190 | + | 0.0994819i | ||||
\(680\) | −14011.4 | + | 14205.8i | −0.790164 | + | 0.801129i | ||||
\(681\) | 9170.20 | + | 13025.0i | 0.516010 | + | 0.732922i | ||||
\(682\) | −11202.6 | + | 34069.4i | −0.628988 | + | 1.91288i | ||||
\(683\) | −8538.58 | + | 14789.3i | −0.478360 | + | 0.828543i | −0.999692 | − | 0.0248103i | \(-0.992102\pi\) |
0.521332 | + | 0.853354i | \(0.325435\pi\) | |||||||
\(684\) | −1225.39 | + | 11449.4i | −0.0684998 | + | 0.640026i | ||||
\(685\) | −6802.85 | − | 11782.9i | −0.379450 | − | 0.657227i | ||||
\(686\) | −15506.8 | + | 3239.05i | −0.863051 | + | 0.180273i | ||||
\(687\) | 12277.9 | + | 8550.14i | 0.681851 | + | 0.474830i | ||||
\(688\) | 4274.30 | + | 33867.6i | 0.236855 | + | 1.87673i | ||||
\(689\) | 17414.1 | + | 20753.3i | 0.962880 | + | 1.14752i | ||||
\(690\) | −2273.48 | − | 2124.10i | −0.125435 | − | 0.117193i | ||||
\(691\) | −2833.14 | − | 7784.00i | −0.155974 | − | 0.428534i | 0.836951 | − | 0.547277i | \(-0.184336\pi\) |
−0.992925 | + | 0.118743i | \(0.962113\pi\) | |||||||
\(692\) | −4674.26 | + | 1130.52i | −0.256775 | + | 0.0621040i | ||||
\(693\) | 12176.3 | − | 10324.3i | 0.667445 | − | 0.565925i | ||||
\(694\) | 12391.6 | + | 9751.83i | 0.677779 | + | 0.533393i | ||||
\(695\) | 2501.81 | − | 14188.5i | 0.136545 | − | 0.774387i | ||||
\(696\) | 409.914 | + | 2202.67i | 0.0223243 | + | 0.119960i | ||||
\(697\) | 16778.5 | + | 6106.88i | 0.911810 | + | 0.331872i | ||||
\(698\) | 13539.4 | − | 425.081i | 0.734203 | − | 0.0230509i | ||||
\(699\) | −13309.5 | − | 13241.3i | −0.720190 | − | 0.716497i | ||||
\(700\) | 6536.81 | − | 4342.48i | 0.352955 | − | 0.234472i | ||||
\(701\) | − | 17448.4i | − | 0.940112i | −0.882637 | − | 0.470056i | \(-0.844234\pi\) | ||
0.882637 | − | 0.470056i | \(-0.155766\pi\) | |||||||
\(702\) | −18492.1 | + | 14056.7i | −0.994218 | + | 0.755750i | ||||
\(703\) | 10806.9i | 0.579785i | ||||||||
\(704\) | 445.693 | + | 32340.5i | 0.0238604 | + | 1.73136i | ||||
\(705\) | 4646.14 | − | 17519.6i | 0.248204 | − | 0.935926i | ||||
\(706\) | −54.8022 | − | 1745.52i | −0.00292140 | − | 0.0930505i | ||||
\(707\) | 10969.5 | + | 3992.56i | 0.583521 | + | 0.212384i | ||||
\(708\) | −2445.14 | − | 486.644i | −0.129794 | − | 0.0258322i | ||||
\(709\) | 1380.68 | − | 7830.22i | 0.0731347 | − | 0.414767i | −0.926157 | − | 0.377138i | \(-0.876908\pi\) |
0.999292 | − | 0.0376293i | \(-0.0119806\pi\) | |||||||
\(710\) | 28289.1 | − | 35946.8i | 1.49531 | − | 1.90008i | ||||
\(711\) | −3127.77 | + | 18287.8i | −0.164980 | + | 0.964620i | ||||
\(712\) | −280.535 | − | 2970.64i | −0.0147661 | − | 0.156362i | ||||
\(713\) | 958.709 | + | 2634.03i | 0.0503561 | + | 0.138352i | ||||
\(714\) | −7794.89 | − | 1807.40i | −0.408566 | − | 0.0947341i | ||||
\(715\) | 36032.4 | + | 42941.7i | 1.88466 | + | 2.24606i | ||||
\(716\) | −34053.1 | + | 14875.0i | −1.77741 | + | 0.776403i | ||||
\(717\) | −12490.8 | + | 5863.70i | −0.650597 | + | 0.305417i | ||||
\(718\) | 1544.36 | + | 7393.56i | 0.0802717 | + | 0.384297i | ||||
\(719\) | −815.729 | − | 1412.88i | −0.0423109 | − | 0.0732847i | 0.844094 | − | 0.536195i | \(-0.180139\pi\) |
−0.886405 | + | 0.462910i | \(0.846805\pi\) | |||||||
\(720\) | −1148.29 | + | 26170.3i | −0.0594366 | + | 1.35459i | ||||
\(721\) | 905.895 | − | 1569.06i | 0.0467924 | − | 0.0810467i | ||||
\(722\) | 10793.7 | + | 3549.14i | 0.556369 | + | 0.182944i | ||||
\(723\) | 12696.8 | − | 27412.1i | 0.653110 | − | 1.41005i | ||||
\(724\) | 2766.91 | + | 2040.20i | 0.142032 | + | 0.104729i | ||||
\(725\) | 1966.84 | − | 346.807i | 0.100754 | − | 0.0177656i | ||||
\(726\) | 38800.8 | − | 4726.71i | 1.98352 | − | 0.241632i | ||||
\(727\) | −14797.2 | + | 17634.6i | −0.754879 | + | 0.899630i | −0.997513 | − | 0.0704878i | \(-0.977544\pi\) |
0.242633 | + | 0.970118i | \(0.421989\pi\) | |||||||
\(728\) | −11271.5 | − | 5161.74i | −0.573832 | − | 0.262784i | ||||
\(729\) | 303.563 | + | 19680.7i | 0.0154226 | + | 0.999881i | ||||
\(730\) | −19407.2 | − | 2797.23i | −0.983965 | − | 0.141822i | ||||
\(731\) | −23767.4 | − | 19943.2i | −1.20256 | − | 1.00907i | ||||
\(732\) | 236.532 | − | 10786.6i | 0.0119433 | − | 0.544651i | ||||
\(733\) | −2733.57 | − | 15502.9i | −0.137745 | − | 0.781188i | −0.972909 | − | 0.231188i | \(-0.925739\pi\) |
0.835164 | − | 0.550000i | \(-0.185372\pi\) | |||||||
\(734\) | −1962.44 | − | 1052.33i | −0.0986853 | − | 0.0529184i | ||||
\(735\) | −18254.6 | − | 8455.20i | −0.916096 | − | 0.424319i | ||||
\(736\) | 1590.58 | + | 1964.81i | 0.0796596 | + | 0.0984020i | ||||
\(737\) | −13634.3 | − | 7871.77i | −0.681446 | − | 0.393433i | ||||
\(738\) | 21720.3 | − | 8816.53i | 1.08338 | − | 0.439757i | ||||
\(739\) | 1877.41 | − | 1083.92i | 0.0934527 | − | 0.0539549i | −0.452545 | − | 0.891741i | \(-0.649484\pi\) |
0.545998 | + | 0.837786i | \(0.316151\pi\) | |||||||
\(740\) | 1542.22 | + | 24536.6i | 0.0766122 | + | 1.21890i | ||||
\(741\) | −6890.37 | − | 14677.8i | −0.341598 | − | 0.727670i | ||||
\(742\) | 6456.07 | + | 10413.3i | 0.319420 | + | 0.515207i | ||||
\(743\) | −16277.1 | + | 13658.1i | −0.803699 | + | 0.674384i | −0.949095 | − | 0.314990i | \(-0.897999\pi\) |
0.145396 | + | 0.989374i | \(0.453554\pi\) | |||||||
\(744\) | 11606.1 | − | 20548.9i | 0.571910 | − | 1.01258i | ||||
\(745\) | −43278.4 | + | 15752.1i | −2.12832 | + | 0.774645i | ||||
\(746\) | 4274.29 | − | 1709.44i | 0.209776 | − | 0.0838970i | ||||
\(747\) | 31093.1 | + | 5317.87i | 1.52294 | + | 0.260470i | ||||
\(748\) | −20271.3 | − | 21289.6i | −0.990899 | − | 1.04067i | ||||
\(749\) | −5380.25 | − | 948.684i | −0.262470 | − | 0.0462806i | ||||
\(750\) | −4492.45 | − | 239.722i | −0.218722 | − | 0.0116712i | ||||
\(751\) | 11592.4 | − | 31850.0i | 0.563268 | − | 1.54757i | −0.251547 | − | 0.967845i | \(-0.580939\pi\) |
0.814815 | − | 0.579721i | \(-0.196838\pi\) | |||||||
\(752\) | −5708.40 | + | 13575.1i | −0.276814 | + | 0.658291i | ||||
\(753\) | 9995.05 | + | 2650.65i | 0.483718 | + | 0.128280i | ||||
\(754\) | −2102.82 | − | 2352.02i | −0.101565 | − | 0.113602i | ||||
\(755\) | 36570.6 | 1.76283 | ||||||||
\(756\) | −9184.52 | + | 5099.10i | −0.441849 | + | 0.245308i | ||||
\(757\) | −27413.8 | −1.31621 | −0.658104 | − | 0.752927i | \(-0.728641\pi\) | ||||
−0.658104 | + | 0.752927i | \(0.728641\pi\) | |||||||
\(758\) | −8616.18 | − | 9637.26i | −0.412868 | − | 0.461795i | ||||
\(759\) | 3233.00 | − | 3249.66i | 0.154612 | − | 0.155409i | ||||
\(760\) | −17695.1 | − | 4610.94i | −0.844563 | − | 0.220074i | ||||
\(761\) | 5560.22 | − | 15276.6i | 0.264859 | − | 0.727694i | −0.733964 | − | 0.679189i | \(-0.762332\pi\) |
0.998823 | − | 0.0485057i | \(-0.0154459\pi\) | |||||||
\(762\) | 818.681 | + | 1610.53i | 0.0389208 | + | 0.0765663i | ||||
\(763\) | −14930.7 | − | 2632.69i | −0.708425 | − | 0.124914i | ||||
\(764\) | 21720.4 | − | 20681.5i | 1.02856 | − | 0.979361i | ||||
\(765\) | −15397.6 | − | 18159.7i | −0.727713 | − | 0.858254i | ||||
\(766\) | 20014.7 | − | 8004.60i | 0.944074 | − | 0.377569i | ||||
\(767\) | 3298.97 | − | 1200.73i | 0.155305 | − | 0.0565264i | ||||
\(768\) | 3866.41 | − | 20929.3i | 0.181663 | − | 0.983361i | ||||
\(769\) | 23594.1 | − | 19797.8i | 1.10640 | − | 0.928383i | 0.108565 | − | 0.994089i | \(-0.465375\pi\) |
0.997839 | + | 0.0657066i | \(0.0209301\pi\) | |||||||
\(770\) | 13358.6 | + | 21546.7i | 0.625208 | + | 1.00843i | ||||
\(771\) | −4676.29 | + | 6715.10i | −0.218434 | + | 0.313669i | ||||
\(772\) | −4799.50 | + | 301.667i | −0.223754 | + | 0.0140638i | ||||
\(773\) | −4641.72 | + | 2679.90i | −0.215978 | + | 0.124695i | −0.604087 | − | 0.796919i | \(-0.706462\pi\) |
0.388108 | + | 0.921614i | \(0.373129\pi\) | |||||||
\(774\) | −40705.7 | + | 1487.50i | −1.89036 | + | 0.0690791i | ||||
\(775\) | −18218.7 | − | 10518.6i | −0.844433 | − | 0.487534i | ||||
\(776\) | 20169.5 | + | 13916.7i | 0.933045 | + | 0.643790i | ||||
\(777\) | −8061.66 | + | 5675.77i | −0.372214 | + | 0.262056i | ||||
\(778\) | 10641.3 | + | 5706.21i | 0.490370 | + | 0.262953i | ||||
\(779\) | 2841.50 | + | 16114.9i | 0.130690 | + | 0.741178i | ||||
\(780\) | −17739.0 | − | 32342.2i | −0.814304 | − | 1.48466i | ||||
\(781\) | 51626.4 | + | 43319.7i | 2.36535 | + | 1.98476i | ||||
\(782\) | −2274.11 | − | 327.775i | −0.103992 | − | 0.0149888i | ||||
\(783\) | −2661.40 | + | 253.537i | −0.121469 | + | 0.0115717i | ||||
\(784\) | 13738.3 | + | 8856.07i | 0.625832 | + | 0.403429i | ||||
\(785\) | −6823.29 | + | 8131.68i | −0.310234 | + | 0.369723i | ||||
\(786\) | −8598.70 | + | 20203.9i | −0.390211 | + | 0.916855i | ||||
\(787\) | 36211.2 | − | 6385.02i | 1.64014 | − | 0.289201i | 0.723923 | − | 0.689881i | \(-0.242337\pi\) |
0.916218 | + | 0.400679i | \(0.131226\pi\) | |||||||
\(788\) | −19927.2 | + | 27025.1i | −0.900857 | + | 1.22174i | ||||
\(789\) | 17824.2 | − | 1605.59i | 0.804256 | − | 0.0724470i | ||||
\(790\) | −27989.3 | − | 9203.34i | −1.26052 | − | 0.414481i | ||||
\(791\) | −3214.08 | + | 5566.94i | −0.144475 | + | 0.250237i | ||||
\(792\) | −38484.6 | − | 2900.87i | −1.72663 | − | 0.130149i | ||||
\(793\) | 7596.49 | + | 13157.5i | 0.340176 | + | 0.589202i | ||||
\(794\) | 458.766 | + | 2196.32i | 0.0205050 | + | 0.0981670i | ||||
\(795\) | −3084.00 | + | 36325.6i | −0.137583 | + | 1.62055i | ||||
\(796\) | −6794.00 | − | 15553.4i | −0.302521 | − | 0.692559i | ||||
\(797\) | −15522.7 | − | 18499.3i | −0.689892 | − | 0.822181i | 0.301451 | − | 0.953482i | \(-0.402529\pi\) |
−0.991343 | + | 0.131301i | \(0.958085\pi\) | |||||||
\(798\) | −2137.34 | − | 7014.76i | −0.0948132 | − | 0.311178i | ||||
\(799\) | −4577.87 | − | 12577.6i | −0.202695 | − | 0.556900i | ||||
\(800\) | −18623.0 | − | 3622.89i | −0.823030 | − | 0.160111i | ||||
\(801\) | 3560.42 | − | 18.3045i | 0.157055 | − | 0.000807438i | ||||
\(802\) | −5486.98 | + | 6972.27i | −0.241586 | + | 0.306982i | ||||
\(803\) | 5016.37 | − | 28449.3i | 0.220453 | − | 1.25025i | ||||
\(804\) | 7788.26 | + | 6831.61i | 0.341630 | + | 0.299667i | ||||
\(805\) | 1861.96 | + | 677.698i | 0.0815223 | + | 0.0296717i | ||||
\(806\) | 1042.86 | + | 33216.3i | 0.0455745 | + | 1.45161i | ||||
\(807\) | 16317.9 | − | 4417.37i | 0.711795 | − | 0.192687i | ||||
\(808\) | −12102.6 | − | 25494.1i | −0.526942 | − | 1.11000i | ||||
\(809\) | − | 14069.4i | − | 0.611438i | −0.952122 | − | 0.305719i | \(-0.901103\pi\) | ||
0.952122 | − | 0.305719i | \(-0.0988967\pi\) | |||||||
\(810\) | −30982.0 | − | 4140.83i | −1.34395 | − | 0.179622i | ||||
\(811\) | − | 8926.48i | − | 0.386499i | −0.981150 | − | 0.193250i | \(-0.938097\pi\) | ||
0.981150 | − | 0.193250i | \(-0.0619027\pi\) | |||||||
\(812\) | −789.535 | − | 1188.50i | −0.0341222 | − | 0.0513648i | ||||
\(813\) | 19067.3 | − | 5161.64i | 0.822534 | − | 0.222665i | ||||
\(814\) | −36203.3 | + | 1136.63i | −1.55888 | + | 0.0489422i | ||||
\(815\) | −6526.09 | − | 2375.30i | −0.280490 | − | 0.102090i | ||||
\(816\) | 10348.2 | + | 16343.7i | 0.443945 | + | 0.701159i | ||||
\(817\) | 4937.50 | − | 28002.0i | 0.211434 | − | 1.19910i | ||||
\(818\) | −21082.5 | − | 16591.3i | −0.901139 | − | 0.709171i | ||||
\(819\) | 7330.47 | − | 12848.8i | 0.312756 | − | 0.548199i | ||||
\(820\) | 8751.24 | + | 36182.9i | 0.372691 | + | 1.54093i | ||||
\(821\) | −12675.9 | − | 34826.7i | −0.538844 | − | 1.48046i | −0.848283 | − | 0.529543i | \(-0.822364\pi\) |
0.309439 | − | 0.950919i | \(-0.399859\pi\) | |||||||
\(822\) | −12617.9 | + | 3844.58i | −0.535402 | + | 0.163133i | ||||
\(823\) | 7034.11 | + | 8382.93i | 0.297927 | + | 0.355055i | 0.894153 | − | 0.447761i | \(-0.147778\pi\) |
−0.596227 | + | 0.802816i | \(0.703334\pi\) | |||||||
\(824\) | −4222.90 | + | 1162.77i | −0.178534 | + | 0.0491589i | ||||
\(825\) | −2910.28 | + | 34279.3i | −0.122816 | + | 1.44661i | ||||
\(826\) | 1554.18 | − | 324.636i | 0.0654684 | − | 0.0136750i | ||||
\(827\) | −4566.30 | − | 7909.06i | −0.192002 | − | 0.332557i | 0.753912 | − | 0.656976i | \(-0.228165\pi\) |
−0.945914 | + | 0.324419i | \(0.894831\pi\) | |||||||
\(828\) | −2503.94 | + | 1682.01i | −0.105094 | + | 0.0705965i | ||||
\(829\) | 8953.62 | − | 15508.1i | 0.375117 | − | 0.649722i | −0.615228 | − | 0.788350i | \(-0.710936\pi\) |
0.990345 | + | 0.138628i | \(0.0442692\pi\) | |||||||
\(830\) | −15647.6 | + | 47587.6i | −0.654382 | + | 1.99011i | ||||
\(831\) | −11682.5 | + | 1052.35i | −0.487679 | + | 0.0439299i | ||||
\(832\) | 10637.7 | + | 28019.2i | 0.443263 | + | 1.16754i | ||||
\(833\) | −14630.4 | + | 2579.74i | −0.608540 | + | 0.107302i | ||||
\(834\) | −12852.2 | − | 5469.88i | −0.533617 | − | 0.227106i | ||||
\(835\) | 19077.5 | − | 22735.7i | 0.790663 | − | 0.942276i | ||||
\(836\) | 7608.05 | − | 25844.1i | 0.314749 | − | 1.06918i | ||||
\(837\) | 23191.6 | + | 15973.9i | 0.957730 | + | 0.659662i | ||||
\(838\) | −2737.04 | + | 18989.6i | −0.112827 | + | 0.782799i | ||||
\(839\) | −17218.5 | − | 14448.0i | −0.708519 | − | 0.594518i | 0.215664 | − | 0.976468i | \(-0.430808\pi\) |
−0.924183 | + | 0.381950i | \(0.875253\pi\) | |||||||
\(840\) | −5853.81 | − | 15621.8i | −0.240447 | − | 0.641669i | ||||
\(841\) | 4172.05 | + | 23660.9i | 0.171063 | + | 0.970145i | ||||
\(842\) | 595.661 | − | 1110.82i | 0.0243798 | − | 0.0454649i | ||||
\(843\) | −3736.03 | + | 2630.33i | −0.152640 | + | 0.107466i | ||||
\(844\) | 36190.6 | + | 17967.9i | 1.47599 | + | 0.732798i | ||||
\(845\) | 16141.4 | + | 9319.26i | 0.657139 | + | 0.379399i | ||||
\(846\) | −15528.8 | − | 8224.55i | −0.631076 | − | 0.334239i | ||||
\(847\) | −21557.9 | + | 12446.5i | −0.874543 | + | 0.504918i | ||||
\(848\) | 6565.82 | − | 28883.3i | 0.265886 | − | 1.16964i | ||||
\(849\) | −17189.8 | + | 24684.4i | −0.694879 | + | 0.997840i | ||||
\(850\) | 14655.5 | − | 9086.19i | 0.591388 | − | 0.366651i | ||||
\(851\) | −2168.67 | + | 1819.73i | −0.0873571 | + | 0.0733013i | ||||
\(852\) | −27754.6 | − | 34589.1i | −1.11603 | − | 1.39085i | ||||
\(853\) | −45342.4 | + | 16503.3i | −1.82004 | + | 0.662441i | −0.824752 | + | 0.565495i | \(0.808685\pi\) |
−0.995290 | + | 0.0969461i | \(0.969093\pi\) | |||||||
\(854\) | 2551.51 | + | 6379.78i | 0.102237 | + | 0.255634i | ||||
\(855\) | 7357.23 | − | 20541.8i | 0.294283 | − | 0.821655i | ||||
\(856\) | 7649.93 | + | 10766.6i | 0.305455 | + | 0.429899i | ||||
\(857\) | 15536.6 | + | 2739.52i | 0.619276 | + | 0.109195i | 0.474480 | − | 0.880267i | \(-0.342636\pi\) |
0.144796 | + | 0.989462i | \(0.453747\pi\) | |||||||
\(858\) | 48446.4 | − | 24626.7i | 1.92766 | − | 0.979885i | ||||
\(859\) | 5503.74 | − | 15121.4i | 0.218609 | − | 0.600624i | −0.781108 | − | 0.624396i | \(-0.785345\pi\) |
0.999717 | + | 0.0237719i | \(0.00756755\pi\) | |||||||
\(860\) | 7214.35 | − | 64282.1i | 0.286055 | − | 2.54884i | ||||
\(861\) | −10529.0 | + | 10583.3i | −0.416756 | + | 0.418904i | ||||
\(862\) | 17720.9 | − | 15843.4i | 0.700205 | − | 0.626018i | ||||
\(863\) | −27123.9 | −1.06988 | −0.534942 | − | 0.844889i | \(-0.679666\pi\) | ||||
−0.534942 | + | 0.844889i | \(0.679666\pi\) | |||||||
\(864\) | 24464.7 | + | 6815.42i | 0.963318 | + | 0.268363i | ||||
\(865\) | 9112.75 | 0.358200 | ||||||||
\(866\) | −22532.1 | + | 20144.8i | −0.884148 | + | 0.790471i | ||||
\(867\) | 7681.29 | + | 2037.05i | 0.300889 | + | 0.0797944i | ||||
\(868\) | −1676.24 | + | 14935.8i | −0.0655477 | + | 0.584050i | ||||
\(869\) | 14846.6 | − | 40790.7i | 0.579559 | − | 1.59233i | ||||
\(870\) | 226.225 | − | 4239.53i | 0.00881580 | − | 0.165211i | ||||
\(871\) | −14366.8 | − | 2533.26i | −0.558900 | − | 0.0985491i | ||||
\(872\) | 21229.3 | + | 29878.3i | 0.824443 | + | 1.16033i | ||||
\(873\) | −18679.8 | + | 22495.6i | −0.724187 | + | 0.872119i | ||||
\(874\) | −781.910 | − | 1955.09i | −0.0302615 | − | 0.0756657i | ||||
\(875\) | 2692.29 | − | 979.915i | 0.104018 | − | 0.0378596i | ||||
\(876\) | −6891.73 | + | 17716.4i | −0.265810 | + | 0.683312i | ||||
\(877\) | −35557.1 | + | 29836.0i | −1.36908 | + | 1.14879i | −0.396014 | + | 0.918244i | \(0.629607\pi\) |
−0.973061 | + | 0.230546i | \(0.925949\pi\) | |||||||
\(878\) | −5001.35 | + | 3100.76i | −0.192241 | + | 0.119186i | ||||
\(879\) | −5174.21 | − | 11022.1i | −0.198546 | − | 0.422941i | ||||
\(880\) | 13585.7 | − | 59763.9i | 0.520424 | − | 2.28937i | ||||
\(881\) | −19888.2 | + | 11482.5i | −0.760557 | + | 0.439108i | −0.829496 | − | 0.558513i | \(-0.811372\pi\) |
0.0689389 | + | 0.997621i | \(0.478039\pi\) | |||||||
\(882\) | −11982.9 | + | 15388.7i | −0.457467 | + | 0.587490i | ||||
\(883\) | −21483.5 | − | 12403.5i | −0.818773 | − | 0.472719i | 0.0312204 | − | 0.999513i | \(-0.490061\pi\) |
−0.849993 | + | 0.526794i | \(0.823394\pi\) | |||||||
\(884\) | −24398.5 | − | 12113.3i | −0.928291 | − | 0.460878i | ||||
\(885\) | 4286.73 | + | 1985.53i | 0.162821 | + | 0.0754158i | ||||
\(886\) | 697.651 | − | 1301.02i | 0.0264538 | − | 0.0493325i | ||||
\(887\) | 844.468 | + | 4789.22i | 0.0319667 | + | 0.181292i | 0.996610 | − | 0.0822649i | \(-0.0262154\pi\) |
−0.964644 | + | 0.263557i | \(0.915104\pi\) | |||||||
\(888\) | 23511.0 | + | 3916.66i | 0.888490 | + | 0.148012i | ||||
\(889\) | −881.391 | − | 739.575i | −0.0332519 | − | 0.0279016i | ||||
\(890\) | −806.620 | + | 5596.35i | −0.0303797 | + | 0.210775i | ||||
\(891\) | 7530.06 | − | 45431.9i | 0.283127 | − | 1.70822i | ||||
\(892\) | −2544.62 | + | 8643.93i | −0.0955158 | + | 0.324462i | ||||
\(893\) | 7884.76 | − | 9396.69i | 0.295469 | − | 0.352126i | ||||
\(894\) | 5399.45 | + | 44323.3i | 0.201996 | + | 1.65816i | ||||
\(895\) | 69346.0 | − | 12227.6i | 2.58992 | − | 0.456673i | ||||
\(896\) | 2953.97 | + | 13228.5i | 0.110140 | + | 0.493229i | ||||
\(897\) | 1785.23 | − | 3854.27i | 0.0664515 | − | 0.143467i | ||||
\(898\) | 7146.41 | − | 21733.7i | 0.265567 | − | 0.807643i | ||||
\(899\) | −1912.45 | + | 3312.47i | −0.0709499 | + | 0.122889i | ||||
\(900\) | 6281.35 | − | 21749.5i | 0.232642 | − | 0.805538i | ||||
\(901\) | 13460.8 | + | 23314.7i | 0.497717 | + | 0.862071i | ||||
\(902\) | −53686.6 | + | 11214.0i | −1.98178 | + | 0.413953i | ||||
\(903\) | 23481.9 | − | 11023.4i | 0.865371 | − | 0.406241i | ||||
\(904\) | 14982.7 | − | 4125.45i | 0.551235 | − | 0.151781i | ||||
\(905\) | −4187.31 | − | 4990.25i | −0.153802 | − | 0.183294i | ||||
\(906\) | 8008.46 | − | 34538.6i | 0.293668 | − | 1.26652i | ||||
\(907\) | 13152.9 | + | 36137.4i | 0.481517 | + | 1.32296i | 0.908193 | + | 0.418552i | \(0.137462\pi\) |
−0.426676 | + | 0.904405i | \(0.640315\pi\) | |||||||
\(908\) | 5765.37 | + | 23837.5i | 0.210716 | + | 0.871228i | ||||
\(909\) | 31584.0 | − | 11679.9i | 1.15245 | − | 0.426179i | ||||
\(910\) | 18460.7 | + | 14528.0i | 0.672491 | + | 0.529231i | ||||
\(911\) | 7885.82 | − | 44722.7i | 0.286793 | − | 1.62649i | −0.412015 | − | 0.911177i | \(-0.635175\pi\) |
0.698808 | − | 0.715309i | \(-0.253714\pi\) | |||||||
\(912\) | −8229.73 | + | 15702.2i | −0.298809 | + | 0.570121i | ||||
\(913\) | −69352.9 | − | 25242.4i | −2.51396 | − | 0.915006i | ||||
\(914\) | −40153.5 | + | 1260.65i | −1.45313 | + | 0.0456222i | ||||
\(915\) | −5240.70 | + | 19761.6i | −0.189347 | + | 0.713988i | ||||
\(916\) | 12746.2 | + | 19187.1i | 0.459768 | + | 0.692097i | ||||
\(917\) | − | 13983.6i | − | 0.503576i | ||||||
\(918\) | −20522.5 | + | 10565.3i | −0.737848 | + | 0.379856i | ||||
\(919\) | 49422.9i | 1.77401i | 0.461763 | + | 0.887003i | \(0.347217\pi\) | ||||
−0.461763 | + | 0.887003i | \(0.652783\pi\) | |||||||
\(920\) | −2054.31 | − | 4327.37i | −0.0736179 | − | 0.155075i | ||||
\(921\) | 17106.3 | + | 17018.5i | 0.612020 | + | 0.608882i | ||||
\(922\) | −762.750 | − | 24294.6i | −0.0272449 | − | 0.867787i | ||||
\(923\) | 58682.8 | + | 21358.8i | 2.09271 | + | 0.761683i | ||||
\(924\) | 23274.8 | − | 7897.93i | 0.828664 | − | 0.281194i | ||||
\(925\) | 3689.45 | − | 20923.9i | 0.131144 | − | 0.743755i | ||||
\(926\) | 13116.9 | − | 16667.5i | 0.465493 | − | 0.591500i | ||||
\(927\) | −934.017 | − | 5142.34i | −0.0330929 | − | 0.182197i | ||||
\(928\) | −658.702 | + | 3385.98i | −0.0233006 | + | 0.119774i | ||||
\(929\) | −5682.38 | − | 15612.2i | −0.200681 | − | 0.551367i | 0.798003 | − | 0.602654i | \(-0.205890\pi\) |
−0.998684 | + | 0.0512868i | \(0.983668\pi\) | |||||||
\(930\) | −30530.2 | + | 32677.3i | −1.07648 | + | 1.15218i | ||||
\(931\) | −8751.49 | − | 10429.6i | −0.308076 | − | 0.367150i | ||||
\(932\) | −11570.5 | − | 26488.1i | −0.406656 | − | 0.930953i | ||||
\(933\) | 35217.0 | + | 24524.5i | 1.23575 | + | 0.860555i | ||||
\(934\) | −2290.01 | − | 10963.3i | −0.0802262 | − | 0.384079i | ||||
\(935\) | 27852.3 | + | 48241.7i | 0.974192 | + | 1.68735i | ||||
\(936\) | −34429.8 | + | 9670.86i | −1.20232 | + | 0.337716i | ||||
\(937\) | −471.688 | + | 816.988i | −0.0164454 | + | 0.0284844i | −0.874131 | − | 0.485690i | \(-0.838568\pi\) |
0.857686 | + | 0.514175i | \(0.171902\pi\) | |||||||
\(938\) | −6267.56 | − | 2060.88i | −0.218170 | − | 0.0717378i | ||||
\(939\) | 28439.1 | + | 40393.9i | 0.988365 | + | 1.40384i | ||||
\(940\) | 16561.1 | − | 22460.1i | 0.574642 | − | 0.779327i | ||||
\(941\) | 2705.96 | − | 477.134i | 0.0937425 | − | 0.0165293i | −0.126580 | − | 0.991956i | \(-0.540400\pi\) |
0.220323 | + | 0.975427i | \(0.429289\pi\) | |||||||
\(942\) | 6185.66 | + | 8224.90i | 0.213949 | + | 0.284482i | ||||
\(943\) | −2755.39 | + | 3283.75i | −0.0951515 | + | 0.113397i | ||||
\(944\) | −3226.16 | − | 2079.67i | −0.111231 | − | 0.0717029i | ||||
\(945\) | 19187.7 | − | 5300.25i | 0.660504 | − | 0.182452i | ||||
\(946\) | 94326.6 | + | 13595.6i | 3.24188 | + | 0.467263i | ||||
\(947\) | 6466.15 | + | 5425.75i | 0.221882 | + | 0.186181i | 0.746952 | − | 0.664878i | \(-0.231517\pi\) |
−0.525070 | + | 0.851059i | \(0.675961\pi\) | |||||||
\(948\) | −14821.2 | + | 24418.7i | −0.507776 | + | 0.836585i | ||||
\(949\) | −4648.34 | − | 26362.0i | −0.159000 | − | 0.901736i | ||||
\(950\) | 13927.0 | + | 7468.11i | 0.475632 | + | 0.255050i | ||||
\(951\) | −669.905 | − | 7436.82i | −0.0228424 | − | 0.253581i | ||||
\(952\) | −10139.9 | − | 6996.42i | −0.345206 | − | 0.238188i | ||||
\(953\) | 14788.5 | + | 8538.17i | 0.502673 | + | 0.290219i | 0.729817 | − | 0.683643i | \(-0.239605\pi\) |
−0.227143 | + | 0.973861i | \(0.572939\pi\) | |||||||
\(954\) | 33631.9 | + | 10867.5i | 1.14138 | + | 0.368812i | ||||
\(955\) | −49218.0 | + | 28416.0i | −1.66770 | + | 0.962848i | ||||
\(956\) | −21202.6 | + | 1332.66i | −0.717303 | + | 0.0450851i | ||||
\(957\) | 6232.56 | + | 529.138i | 0.210522 | + | 0.0178731i | ||||
\(958\) | −16322.2 | − | 26326.8i | −0.550466 | − | 0.887871i | ||||
\(959\) | 6435.10 | − | 5399.69i | 0.216684 | − | 0.181820i | ||||
\(960\) | −16444.5 | + | 36825.7i | −0.552859 | + | 1.23807i | ||||
\(961\) | 9865.24 | − | 3590.65i | 0.331148 | − | 0.120528i | ||||
\(962\) | −31163.8 | + | 12463.5i | −1.04445 | + | 0.417713i | ||||
\(963\) | −13607.7 | + | 7949.99i | −0.455352 | + | 0.266028i | ||||
\(964\) | 33683.9 | − | 32072.9i | 1.12540 | − | 1.07157i | ||||
\(965\) | 8974.21 | + | 1582.39i | 0.299368 | + | 0.0527866i | ||||
\(966\) | 1047.79 | − | 1610.10i | 0.0348985 | − | 0.0536274i | ||||
\(967\) | 2894.98 | − | 7953.90i | 0.0962734 | − | 0.264509i | −0.882202 | − | 0.470870i | \(-0.843940\pi\) |
0.978476 | + | 0.206361i | \(0.0661622\pi\) | |||||||
\(968\) | 58234.8 | + | 15174.7i | 1.93361 | + | 0.503857i | ||||
\(969\) | −4210.33 | − | 15553.1i | −0.139582 | − | 0.515623i | ||||
\(970\) | −30949.2 | − | 34616.9i | −1.02445 | − | 1.14586i | ||||
\(971\) | −24889.4 | −0.822593 | −0.411296 | − | 0.911502i | \(-0.634924\pi\) | ||||
−0.411296 | + | 0.911502i | \(0.634924\pi\) | |||||||
\(972\) | −10695.4 | + | 28353.8i | −0.352937 | + | 0.935647i | ||||
\(973\) | 8895.37 | 0.293086 | ||||||||
\(974\) | 25625.6 | + | 28662.4i | 0.843016 | + | 0.942919i | ||||
\(975\) | 8329.92 | + | 30771.1i | 0.273611 | + | 1.01073i | ||||
\(976\) | 6438.91 | − | 15312.3i | 0.211173 | − | 0.502189i | ||||
\(977\) | 9425.45 | − | 25896.2i | 0.308646 | − | 0.847997i | −0.684276 | − | 0.729223i | \(-0.739882\pi\) |
0.992921 | − | 0.118774i | \(-0.0378963\pi\) | |||||||
\(978\) | −3672.45 | + | 5643.33i | −0.120074 | + | 0.184513i | ||||
\(979\) | −8203.75 | − | 1446.54i | −0.267817 | − | 0.0472234i | ||||
\(980\) | −21358.3 | − | 22431.2i | −0.696191 | − | 0.731161i | ||||
\(981\) | −37762.8 | + | 22062.0i | −1.22902 | + | 0.718027i | ||||
\(982\) | −45279.9 | + | 18109.1i | −1.47143 | + | 0.588476i | ||||
\(983\) | −26457.7 | + | 9629.80i | −0.858462 | + | 0.312455i | −0.733486 | − | 0.679705i | \(-0.762108\pi\) |
−0.124977 | + | 0.992160i | \(0.539886\pi\) | |||||||
\(984\) | 36088.9 | − | 341.438i | 1.16918 | − | 0.0110616i | ||||
\(985\) | 48741.0 | − | 40898.5i | 1.57667 | − | 1.32298i | ||||
\(986\) | −1652.02 | − | 2664.62i | −0.0533581 | − | 0.0860636i | ||||
\(987\) | 11150.8 | + | 946.690i | 0.359608 | + | 0.0305304i | ||||
\(988\) | −1566.00 | − | 24915.0i | −0.0504261 | − | 0.802278i | ||||
\(989\) | 6450.70 | − | 3724.31i | 0.207402 | − | 0.119743i | ||||
\(990\) | 69589.4 | + | 22486.4i | 2.23404 | + | 0.721883i | ||||
\(991\) | 2071.25 | + | 1195.84i | 0.0663929 | + | 0.0383320i | 0.532829 | − | 0.846223i | \(-0.321129\pi\) |
−0.466436 | + | 0.884555i | \(0.654462\pi\) | |||||||
\(992\) | 28240.7 | − | 22861.8i | 0.903876 | − | 0.731717i | ||||
\(993\) | 462.042 | + | 5129.27i | 0.0147658 | + | 0.163920i | ||||
\(994\) | 24890.0 | + | 13346.9i | 0.794230 | + | 0.425893i | ||||
\(995\) | 5584.83 | + | 31673.1i | 0.177941 | + | 1.00915i | ||||
\(996\) | 41516.9 | + | 25199.2i | 1.32080 | + | 0.801675i | ||||
\(997\) | −10413.2 | − | 8737.68i | −0.330781 | − | 0.277558i | 0.462237 | − | 0.886756i | \(-0.347047\pi\) |
−0.793018 | + | 0.609198i | \(0.791491\pi\) | |||||||
\(998\) | 41687.9 | + | 6008.62i | 1.32225 | + | 0.190581i | ||||
\(999\) | −7149.00 | + | 27527.8i | −0.226411 | + | 0.871814i |
(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 | 108.4.l.a.11.11 | ✓ | 312 | |
4.3 | odd | 2 | inner | 108.4.l.a.11.18 | yes | 312 | |
27.5 | odd | 18 | inner | 108.4.l.a.59.18 | yes | 312 | |
108.59 | even | 18 | inner | 108.4.l.a.59.11 | yes | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.4.l.a.11.11 | ✓ | 312 | 1.1 | even | 1 | trivial | |
108.4.l.a.11.18 | yes | 312 | 4.3 | odd | 2 | inner | |
108.4.l.a.59.11 | yes | 312 | 108.59 | even | 18 | inner | |
108.4.l.a.59.18 | yes | 312 | 27.5 | odd | 18 | inner |