Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,3,Mod(14,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 8]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.14");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.k (of order \(22\), degree \(10\), 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: | \(5.47685331364\) |
Analytic rank: | \(0\) |
Dimension: | \(440\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 14.15 | ||
Character | \(\chi\) | \(=\) | 201.14 |
Dual form | 201.3.k.a.158.15 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30691 | + | 0.596845i | −0.653455 | + | 0.298423i | −0.714420 | − | 0.699717i | \(-0.753309\pi\) |
0.0609653 | + | 0.998140i | \(0.480582\pi\) | |||||||
\(3\) | −1.63302 | + | 2.51659i | −0.544341 | + | 0.838864i | ||||
\(4\) | −1.26766 | + | 1.46295i | −0.316914 | + | 0.365738i | ||||
\(5\) | 7.35419 | − | 1.05737i | 1.47084 | − | 0.211475i | 0.640166 | − | 0.768237i | \(-0.278866\pi\) |
0.830672 | + | 0.556762i | \(0.187956\pi\) | |||||||
\(6\) | 0.632194 | − | 4.26362i | 0.105366 | − | 0.710603i | ||||
\(7\) | −4.35656 | − | 9.53954i | −0.622366 | − | 1.36279i | −0.913786 | − | 0.406197i | \(-0.866855\pi\) |
0.291419 | − | 0.956595i | \(-0.405873\pi\) | |||||||
\(8\) | 2.40267 | − | 8.18273i | 0.300333 | − | 1.02284i | ||||
\(9\) | −3.66648 | − | 8.21930i | −0.407387 | − | 0.913256i | ||||
\(10\) | −8.98017 | + | 5.77121i | −0.898017 | + | 0.577121i | ||||
\(11\) | 14.8759 | − | 2.13883i | 1.35235 | − | 0.194439i | 0.572245 | − | 0.820083i | \(-0.306073\pi\) |
0.780109 | + | 0.625644i | \(0.215164\pi\) | |||||||
\(12\) | −1.61155 | − | 5.57921i | −0.134296 | − | 0.464934i | ||||
\(13\) | 7.35659 | − | 2.16009i | 0.565892 | − | 0.166161i | 0.0137417 | − | 0.999906i | \(-0.495626\pi\) |
0.552150 | + | 0.833745i | \(0.313808\pi\) | |||||||
\(14\) | 11.3873 | + | 9.86712i | 0.813376 | + | 0.704795i | ||||
\(15\) | −9.34857 | + | 20.2342i | −0.623238 | + | 1.34895i | ||||
\(16\) | 0.641807 | + | 4.46386i | 0.0401129 | + | 0.278991i | ||||
\(17\) | −20.5847 | + | 17.8368i | −1.21087 | + | 1.04922i | −0.213480 | + | 0.976947i | \(0.568480\pi\) |
−0.997385 | + | 0.0722734i | \(0.976975\pi\) | |||||||
\(18\) | 9.69741 | + | 8.55356i | 0.538745 | + | 0.475198i | ||||
\(19\) | 6.56461 | − | 14.3745i | 0.345506 | − | 0.756552i | −0.654494 | − | 0.756067i | \(-0.727118\pi\) |
1.00000 | 0.000484878i | \(-0.000154341\pi\) | ||||||||
\(20\) | −7.77569 | + | 12.0992i | −0.388785 | + | 0.604961i | ||||
\(21\) | 31.1215 | + | 4.61458i | 1.48198 | + | 0.219742i | ||||
\(22\) | −18.1649 | + | 11.6739i | −0.825677 | + | 0.530630i | ||||
\(23\) | 12.9814 | − | 20.1995i | 0.564410 | − | 0.878239i | −0.435347 | − | 0.900263i | \(-0.643374\pi\) |
0.999757 | + | 0.0220233i | \(0.00701079\pi\) | |||||||
\(24\) | 16.6690 | + | 19.4091i | 0.694541 | + | 0.808713i | ||||
\(25\) | 28.9788 | − | 8.50893i | 1.15915 | − | 0.340357i | ||||
\(26\) | −8.32516 | + | 7.21379i | −0.320198 | + | 0.277453i | ||||
\(27\) | 26.6721 | + | 4.19525i | 0.987855 | + | 0.155380i | ||||
\(28\) | 19.4785 | + | 5.71941i | 0.695662 | + | 0.204265i | ||||
\(29\) | − | 5.16179i | − | 0.177993i | −0.996032 | − | 0.0889964i | \(-0.971634\pi\) | ||
0.996032 | − | 0.0889964i | \(-0.0283660\pi\) | |||||||
\(30\) | 0.141037 | − | 32.0239i | 0.00470123 | − | 1.06746i | ||||
\(31\) | 44.4005 | + | 13.0372i | 1.43228 | + | 0.420554i | 0.903639 | − | 0.428295i | \(-0.140885\pi\) |
0.528636 | + | 0.848849i | \(0.322704\pi\) | |||||||
\(32\) | 14.9397 | + | 23.2466i | 0.466866 | + | 0.726457i | ||||
\(33\) | −18.9101 | + | 40.9293i | −0.573033 | + | 1.24028i | ||||
\(34\) | 16.2566 | − | 35.5969i | 0.478134 | − | 1.04697i | ||||
\(35\) | −42.1259 | − | 65.5491i | −1.20360 | − | 1.87283i | ||||
\(36\) | 16.6723 | + | 5.05535i | 0.463119 | + | 0.140427i | ||||
\(37\) | −42.7731 | −1.15603 | −0.578015 | − | 0.816026i | \(-0.696172\pi\) | ||||
−0.578015 | + | 0.816026i | \(0.696172\pi\) | |||||||
\(38\) | 22.7042i | 0.597479i | ||||||||
\(39\) | −6.57740 | + | 22.0410i | −0.168651 | + | 0.565154i | ||||
\(40\) | 9.01747 | − | 62.7179i | 0.225437 | − | 1.56795i | ||||
\(41\) | 12.0516 | − | 10.4428i | 0.293941 | − | 0.254702i | −0.495388 | − | 0.868672i | \(-0.664974\pi\) |
0.789329 | + | 0.613970i | \(0.210429\pi\) | |||||||
\(42\) | −43.4272 | + | 12.5439i | −1.03398 | + | 0.298664i | ||||
\(43\) | −26.3936 | − | 30.4599i | −0.613806 | − | 0.708370i | 0.360713 | − | 0.932677i | \(-0.382533\pi\) |
−0.974518 | + | 0.224307i | \(0.927988\pi\) | |||||||
\(44\) | −15.7285 | + | 24.4740i | −0.357466 | + | 0.556228i | ||||
\(45\) | −35.6549 | − | 56.5695i | −0.792330 | − | 1.25710i | ||||
\(46\) | −4.90957 | + | 34.1468i | −0.106730 | + | 0.742322i | ||||
\(47\) | 4.55899 | − | 7.09393i | 0.0969999 | − | 0.150935i | −0.789362 | − | 0.613928i | \(-0.789588\pi\) |
0.886362 | + | 0.462994i | \(0.153225\pi\) | |||||||
\(48\) | −12.2818 | − | 5.67442i | −0.255871 | − | 0.118217i | ||||
\(49\) | −39.9351 | + | 46.0875i | −0.815002 | + | 0.940562i | ||||
\(50\) | −32.7941 | + | 28.4162i | −0.655882 | + | 0.568325i | ||||
\(51\) | −11.2726 | − | 80.9311i | −0.221031 | − | 1.58689i | ||||
\(52\) | −6.16552 | + | 13.5006i | −0.118568 | + | 0.259627i | ||||
\(53\) | 64.8875 | + | 56.2254i | 1.22429 | + | 1.06086i | 0.996189 | + | 0.0872190i | \(0.0277980\pi\) |
0.228104 | + | 0.973637i | \(0.426747\pi\) | |||||||
\(54\) | −37.3619 | + | 10.4363i | −0.691887 | + | 0.193265i | ||||
\(55\) | 107.139 | − | 31.4587i | 1.94797 | − | 0.571977i | ||||
\(56\) | −88.5269 | + | 12.7282i | −1.58084 | + | 0.227290i | ||||
\(57\) | 25.4546 | + | 39.9943i | 0.446572 | + | 0.701654i | ||||
\(58\) | 3.08079 | + | 6.74600i | 0.0531171 | + | 0.116310i | ||||
\(59\) | −10.3270 | + | 35.1705i | −0.175034 | + | 0.596110i | 0.824508 | + | 0.565850i | \(0.191452\pi\) |
−0.999542 | + | 0.0302603i | \(0.990366\pi\) | |||||||
\(60\) | −17.7509 | − | 39.3265i | −0.295849 | − | 0.655442i | ||||
\(61\) | 4.27952 | − | 29.7647i | 0.0701561 | − | 0.487946i | −0.924205 | − | 0.381897i | \(-0.875271\pi\) |
0.994361 | − | 0.106049i | \(-0.0338200\pi\) | |||||||
\(62\) | −65.8086 | + | 9.46185i | −1.06143 | + | 0.152611i | ||||
\(63\) | −62.4351 | + | 70.7845i | −0.991034 | + | 1.12356i | ||||
\(64\) | −48.5749 | − | 31.2172i | −0.758983 | − | 0.487769i | ||||
\(65\) | 51.8178 | − | 23.6644i | 0.797196 | − | 0.364067i | ||||
\(66\) | 0.285286 | − | 64.7773i | 0.00432252 | − | 0.981474i | ||||
\(67\) | 13.3248 | − | 65.6616i | 0.198877 | − | 0.980024i | ||||
\(68\) | − | 52.7253i | − | 0.775372i | ||||||
\(69\) | 29.6350 | + | 65.6552i | 0.429492 | + | 0.951525i | ||||
\(70\) | 94.1774 | + | 60.5241i | 1.34539 | + | 0.864630i | ||||
\(71\) | −79.0775 | − | 68.5210i | −1.11377 | − | 0.965085i | −0.114170 | − | 0.993461i | \(-0.536421\pi\) |
−0.999597 | + | 0.0283765i | \(0.990966\pi\) | |||||||
\(72\) | −76.0656 | + | 10.2536i | −1.05647 | + | 0.142411i | ||||
\(73\) | 1.43235 | − | 9.96222i | 0.0196212 | − | 0.136469i | −0.977656 | − | 0.210211i | \(-0.932585\pi\) |
0.997277 | + | 0.0737419i | \(0.0234941\pi\) | |||||||
\(74\) | 55.9006 | − | 25.5289i | 0.755413 | − | 0.344986i | ||||
\(75\) | −25.9094 | + | 86.8230i | −0.345459 | + | 1.15764i | ||||
\(76\) | 12.7075 | + | 27.8256i | 0.167204 | + | 0.366126i | ||||
\(77\) | −85.2113 | − | 132.591i | −1.10664 | − | 1.72196i | ||||
\(78\) | −4.55901 | − | 32.7313i | −0.0584489 | − | 0.419632i | ||||
\(79\) | 121.302 | − | 35.6175i | 1.53547 | − | 0.450854i | 0.598749 | − | 0.800937i | \(-0.295665\pi\) |
0.936719 | + | 0.350083i | \(0.113847\pi\) | |||||||
\(80\) | 9.43994 | + | 32.1495i | 0.117999 | + | 0.401868i | ||||
\(81\) | −54.1138 | + | 60.2718i | −0.668072 | + | 0.744097i | ||||
\(82\) | −9.51762 | + | 20.8407i | −0.116069 | + | 0.254155i | ||||
\(83\) | 75.5751 | − | 10.8661i | 0.910543 | − | 0.130916i | 0.328904 | − | 0.944363i | \(-0.393321\pi\) |
0.581639 | + | 0.813447i | \(0.302412\pi\) | |||||||
\(84\) | −46.2023 | + | 39.6796i | −0.550027 | + | 0.472376i | ||||
\(85\) | −132.524 | + | 152.941i | −1.55910 | + | 1.79930i | ||||
\(86\) | 52.6740 | + | 24.0554i | 0.612488 | + | 0.279714i | ||||
\(87\) | 12.9901 | + | 8.42932i | 0.149312 | + | 0.0968887i | ||||
\(88\) | 18.2403 | − | 126.864i | 0.207276 | − | 1.44164i | ||||
\(89\) | 48.9382 | + | 76.1493i | 0.549867 | + | 0.855610i | 0.999289 | − | 0.0377095i | \(-0.0120062\pi\) |
−0.449421 | + | 0.893320i | \(0.648370\pi\) | |||||||
\(90\) | 80.3609 | + | 52.6507i | 0.892899 | + | 0.585008i | ||||
\(91\) | −52.6557 | − | 60.7680i | −0.578635 | − | 0.667780i | ||||
\(92\) | 13.0949 | + | 44.5972i | 0.142336 | + | 0.484753i | ||||
\(93\) | −105.316 | + | 90.4481i | −1.13243 | + | 0.972560i | ||||
\(94\) | −1.72421 | + | 11.9921i | −0.0183427 | + | 0.127576i | ||||
\(95\) | 33.0782 | − | 112.654i | 0.348191 | − | 1.18583i | ||||
\(96\) | −82.8992 | − | 0.365097i | −0.863533 | − | 0.00380309i | ||||
\(97\) | −11.6706 | −0.120316 | −0.0601579 | − | 0.998189i | \(-0.519160\pi\) | ||||
−0.0601579 | + | 0.998189i | \(0.519160\pi\) | |||||||
\(98\) | 24.6844 | − | 84.0673i | 0.251882 | − | 0.857830i | ||||
\(99\) | −72.1219 | − | 114.427i | −0.728504 | − | 1.15583i | ||||
\(100\) | −24.2869 | + | 53.1809i | −0.242869 | + | 0.531809i | ||||
\(101\) | 51.7177 | + | 23.6187i | 0.512056 | + | 0.233848i | 0.654649 | − | 0.755933i | \(-0.272817\pi\) |
−0.142593 | + | 0.989781i | \(0.545544\pi\) | |||||||
\(102\) | 63.0356 | + | 99.0417i | 0.617996 | + | 0.970997i | ||||
\(103\) | −71.1887 | − | 20.9029i | −0.691152 | − | 0.202941i | −0.0827510 | − | 0.996570i | \(-0.526371\pi\) |
−0.608401 | + | 0.793630i | \(0.708189\pi\) | |||||||
\(104\) | − | 65.3870i | − | 0.628721i | ||||||
\(105\) | 233.753 | + | 1.02947i | 2.22622 | + | 0.00980450i | ||||
\(106\) | −118.360 | − | 34.7536i | −1.11660 | − | 0.327864i | ||||
\(107\) | −149.569 | − | 21.5048i | −1.39784 | − | 0.200980i | −0.598149 | − | 0.801385i | \(-0.704097\pi\) |
−0.799696 | + | 0.600405i | \(0.795006\pi\) | |||||||
\(108\) | −39.9485 | + | 33.7018i | −0.369893 | + | 0.312054i | ||||
\(109\) | 16.9234 | − | 4.96916i | 0.155261 | − | 0.0455886i | −0.203179 | − | 0.979142i | \(-0.565127\pi\) |
0.358439 | + | 0.933553i | \(0.383309\pi\) | |||||||
\(110\) | −121.244 | + | 105.059i | −1.10222 | + | 0.955081i | ||||
\(111\) | 69.8494 | − | 107.643i | 0.629274 | − | 0.969752i | ||||
\(112\) | 39.7871 | − | 25.5696i | 0.355242 | − | 0.228300i | ||||
\(113\) | 80.5320 | + | 11.5788i | 0.712672 | + | 0.102467i | 0.489109 | − | 0.872223i | \(-0.337322\pi\) |
0.223563 | + | 0.974689i | \(0.428231\pi\) | |||||||
\(114\) | −57.1372 | − | 37.0765i | −0.501204 | − | 0.325232i | ||||
\(115\) | 74.1095 | − | 162.277i | 0.644431 | − | 1.41111i | ||||
\(116\) | 7.55146 | + | 6.54338i | 0.0650988 | + | 0.0564084i | ||||
\(117\) | −44.7272 | − | 52.5461i | −0.382284 | − | 0.449112i | ||||
\(118\) | −7.49491 | − | 52.1283i | −0.0635162 | − | 0.441765i | ||||
\(119\) | 259.833 | + | 118.662i | 2.18347 | + | 0.997158i | ||||
\(120\) | 143.110 | + | 125.113i | 1.19258 | + | 1.04261i | ||||
\(121\) | 100.619 | − | 29.5444i | 0.831562 | − | 0.244168i | ||||
\(122\) | 12.1720 | + | 41.4540i | 0.0997704 | + | 0.339787i | ||||
\(123\) | 6.59968 | + | 47.3822i | 0.0536559 | + | 0.385221i | ||||
\(124\) | −75.3573 | + | 48.4292i | −0.607720 | + | 0.390558i | ||||
\(125\) | 35.1583 | − | 16.0562i | 0.281266 | − | 0.128450i | ||||
\(126\) | 39.3497 | − | 129.773i | 0.312299 | − | 1.02994i | ||||
\(127\) | 56.4953 | + | 123.707i | 0.444845 | + | 0.974074i | 0.990684 | + | 0.136184i | \(0.0434837\pi\) |
−0.545839 | + | 0.837890i | \(0.683789\pi\) | |||||||
\(128\) | −27.2934 | − | 3.92420i | −0.213230 | − | 0.0306578i | ||||
\(129\) | 119.757 | − | 16.6804i | 0.928345 | − | 0.129306i | ||||
\(130\) | −53.5971 | + | 61.8544i | −0.412286 | + | 0.475803i | ||||
\(131\) | −29.9453 | + | 46.5958i | −0.228590 | + | 0.355693i | −0.936535 | − | 0.350575i | \(-0.885986\pi\) |
0.707945 | + | 0.706268i | \(0.249623\pi\) | |||||||
\(132\) | −35.9062 | − | 79.5488i | −0.272017 | − | 0.602643i | ||||
\(133\) | −165.725 | −1.24605 | ||||||||
\(134\) | 21.7756 | + | 93.7666i | 0.162504 | + | 0.699751i | ||||
\(135\) | 200.588 | + | 2.65036i | 1.48583 | + | 0.0196323i | ||||
\(136\) | 96.4951 | + | 211.295i | 0.709523 | + | 1.55364i | ||||
\(137\) | 4.39446 | − | 6.83792i | 0.0320764 | − | 0.0499118i | −0.824845 | − | 0.565359i | \(-0.808738\pi\) |
0.856921 | + | 0.515447i | \(0.172374\pi\) | |||||||
\(138\) | −77.9162 | − | 68.1179i | −0.564610 | − | 0.493608i | ||||
\(139\) | 3.93456 | + | 27.3655i | 0.0283062 | + | 0.196874i | 0.999068 | − | 0.0431724i | \(-0.0137465\pi\) |
−0.970761 | + | 0.240046i | \(0.922837\pi\) | |||||||
\(140\) | 149.296 | + | 21.4656i | 1.06640 | + | 0.153326i | ||||
\(141\) | 10.4076 | + | 23.0577i | 0.0738128 | + | 0.163530i | ||||
\(142\) | 144.244 | + | 42.3537i | 1.01580 | + | 0.298266i | ||||
\(143\) | 104.816 | − | 47.8678i | 0.732978 | − | 0.334740i | ||||
\(144\) | 34.3367 | − | 21.6419i | 0.238449 | − | 0.150291i | ||||
\(145\) | −5.45794 | − | 37.9608i | −0.0376410 | − | 0.261799i | ||||
\(146\) | 4.07395 | + | 13.8746i | 0.0279038 | + | 0.0950316i | ||||
\(147\) | −50.7687 | − | 175.762i | −0.345366 | − | 1.19566i | ||||
\(148\) | 54.2216 | − | 62.5750i | 0.366362 | − | 0.422804i | ||||
\(149\) | −102.252 | − | 46.6970i | −0.686256 | − | 0.313403i | 0.0415982 | − | 0.999134i | \(-0.486755\pi\) |
−0.727854 | + | 0.685732i | \(0.759482\pi\) | |||||||
\(150\) | −17.9587 | − | 128.934i | −0.119724 | − | 0.859558i | ||||
\(151\) | 44.5848 | + | 51.4536i | 0.295264 | + | 0.340752i | 0.883926 | − | 0.467626i | \(-0.154891\pi\) |
−0.588663 | + | 0.808379i | \(0.700345\pi\) | |||||||
\(152\) | −101.850 | − | 88.2535i | −0.670065 | − | 0.580615i | ||||
\(153\) | 222.079 | + | 103.794i | 1.45150 | + | 0.678391i | ||||
\(154\) | 190.500 | + | 122.427i | 1.23701 | + | 0.794980i | ||||
\(155\) | 340.315 | + | 48.9299i | 2.19558 | + | 0.315677i | ||||
\(156\) | −23.9071 | − | 37.5629i | −0.153251 | − | 0.240788i | ||||
\(157\) | −206.172 | − | 132.499i | −1.31320 | − | 0.843942i | −0.318616 | − | 0.947884i | \(-0.603218\pi\) |
−0.994583 | + | 0.103942i | \(0.966854\pi\) | |||||||
\(158\) | −137.272 | + | 118.947i | −0.868813 | + | 0.752831i | ||||
\(159\) | −247.459 | + | 71.4783i | −1.55635 | + | 0.449549i | ||||
\(160\) | 134.450 | + | 155.163i | 0.840311 | + | 0.969771i | ||||
\(161\) | −249.249 | − | 35.8365i | −1.54813 | − | 0.222587i | ||||
\(162\) | 34.7489 | − | 111.067i | 0.214499 | − | 0.685601i | ||||
\(163\) | −60.1436 | −0.368979 | −0.184490 | − | 0.982834i | \(-0.559063\pi\) | ||||
−0.184490 | + | 0.982834i | \(0.559063\pi\) | |||||||
\(164\) | 30.8687i | 0.188224i | ||||||||
\(165\) | −95.7908 | + | 320.997i | −0.580550 | + | 1.94544i | ||||
\(166\) | −92.2844 | + | 59.3076i | −0.555930 | + | 0.357275i | ||||
\(167\) | −53.3708 | − | 24.3736i | −0.319586 | − | 0.145950i | 0.249162 | − | 0.968462i | \(-0.419845\pi\) |
−0.568748 | + | 0.822512i | \(0.692572\pi\) | |||||||
\(168\) | 112.534 | − | 243.572i | 0.669848 | − | 1.44983i | ||||
\(169\) | −92.7184 | + | 59.5865i | −0.548630 | + | 0.352583i | ||||
\(170\) | 81.9147 | − | 278.976i | 0.481851 | − | 1.64103i | ||||
\(171\) | −142.217 | − | 1.25270i | −0.831680 | − | 0.00732575i | ||||
\(172\) | 78.0194 | 0.453601 | ||||||||
\(173\) | −51.6876 | + | 176.032i | −0.298772 | + | 1.01753i | 0.664117 | + | 0.747629i | \(0.268808\pi\) |
−0.962889 | + | 0.269897i | \(0.913011\pi\) | |||||||
\(174\) | −22.0079 | − | 3.26325i | −0.126482 | − | 0.0187543i | ||||
\(175\) | −207.419 | − | 239.374i | −1.18525 | − | 1.36785i | ||||
\(176\) | 19.0949 | + | 65.0312i | 0.108494 | + | 0.369496i | ||||
\(177\) | −71.6456 | − | 83.4230i | −0.404778 | − | 0.471316i | ||||
\(178\) | −109.407 | − | 70.3117i | −0.614647 | − | 0.395010i | ||||
\(179\) | −31.7214 | − | 49.3595i | −0.177214 | − | 0.275751i | 0.741271 | − | 0.671206i | \(-0.234223\pi\) |
−0.918485 | + | 0.395455i | \(0.870587\pi\) | |||||||
\(180\) | 127.957 | + | 19.5492i | 0.710870 | + | 0.108607i | ||||
\(181\) | 187.029 | + | 120.197i | 1.03331 | + | 0.664069i | 0.943324 | − | 0.331874i | \(-0.107681\pi\) |
0.0899880 | + | 0.995943i | \(0.471317\pi\) | |||||||
\(182\) | 105.085 | + | 47.9909i | 0.577392 | + | 0.263686i | ||||
\(183\) | 67.9171 | + | 59.3762i | 0.371132 | + | 0.324460i | ||||
\(184\) | −134.097 | − | 154.756i | −0.728788 | − | 0.841066i | ||||
\(185\) | −314.562 | + | 45.2271i | −1.70033 | + | 0.244471i | ||||
\(186\) | 83.6553 | − | 181.065i | 0.449760 | − | 0.973468i | ||||
\(187\) | −268.066 | + | 309.365i | −1.43351 | + | 1.65436i | ||||
\(188\) | 4.59885 | + | 15.6623i | 0.0244620 | + | 0.0833099i | ||||
\(189\) | −76.1778 | − | 272.716i | −0.403057 | − | 1.44294i | ||||
\(190\) | 24.0068 | + | 166.971i | 0.126352 | + | 0.878795i | ||||
\(191\) | 99.1835 | + | 154.333i | 0.519286 | + | 0.808024i | 0.997533 | − | 0.0702011i | \(-0.0223641\pi\) |
−0.478247 | + | 0.878225i | \(0.658728\pi\) | |||||||
\(192\) | 157.885 | − | 71.2649i | 0.822317 | − | 0.371172i | ||||
\(193\) | −248.622 | − | 73.0019i | −1.28820 | − | 0.378248i | −0.435279 | − | 0.900296i | \(-0.643350\pi\) |
−0.852916 | + | 0.522047i | \(0.825168\pi\) | |||||||
\(194\) | 15.2525 | − | 6.96557i | 0.0786209 | − | 0.0359050i | ||||
\(195\) | −25.0659 | + | 169.049i | −0.128543 | + | 0.866916i | ||||
\(196\) | −16.8000 | − | 116.846i | −0.0857141 | − | 0.596154i | ||||
\(197\) | 7.51438 | + | 6.51125i | 0.0381441 | + | 0.0330520i | 0.673724 | − | 0.738983i | \(-0.264694\pi\) |
−0.635580 | + | 0.772035i | \(0.719239\pi\) | |||||||
\(198\) | 162.552 | + | 106.501i | 0.820971 | + | 0.537882i | ||||
\(199\) | 164.003 | + | 359.117i | 0.824136 | + | 1.80461i | 0.527307 | + | 0.849675i | \(0.323202\pi\) |
0.296829 | + | 0.954931i | \(0.404071\pi\) | |||||||
\(200\) | − | 257.569i | − | 1.28785i | ||||||
\(201\) | 143.484 | + | 140.760i | 0.713851 | + | 0.700298i | ||||
\(202\) | −81.6870 | −0.404391 | ||||||||
\(203\) | −49.2412 | + | 22.4877i | −0.242567 | + | 0.110777i | ||||
\(204\) | 132.688 | + | 86.1016i | 0.650432 | + | 0.422066i | ||||
\(205\) | 77.5878 | − | 89.5411i | 0.378477 | − | 0.436786i | ||||
\(206\) | 105.513 | − | 15.1705i | 0.512199 | − | 0.0736431i | ||||
\(207\) | −213.622 | − | 32.6372i | −1.03199 | − | 0.157668i | ||||
\(208\) | 14.3639 | + | 31.4525i | 0.0690570 | + | 0.151214i | ||||
\(209\) | 66.9098 | − | 227.874i | 0.320143 | − | 1.09031i | ||||
\(210\) | −306.108 | + | 138.169i | −1.45766 | + | 0.657947i | ||||
\(211\) | 314.195 | − | 201.921i | 1.48907 | − | 0.956970i | 0.492853 | − | 0.870113i | \(-0.335954\pi\) |
0.996221 | − | 0.0868569i | \(-0.0276823\pi\) | |||||||
\(212\) | −164.510 | + | 23.6530i | −0.775991 | + | 0.111571i | ||||
\(213\) | 301.575 | − | 87.1095i | 1.41584 | − | 0.408965i | ||||
\(214\) | 208.309 | − | 61.1649i | 0.973405 | − | 0.285817i | ||||
\(215\) | −226.311 | − | 196.100i | −1.05261 | − | 0.912093i | ||||
\(216\) | 98.4127 | − | 208.171i | 0.455614 | − | 0.963753i | ||||
\(217\) | −69.0651 | − | 480.358i | −0.318272 | − | 2.21363i | ||||
\(218\) | −19.1515 | + | 16.5949i | −0.0878511 | + | 0.0761234i | ||||
\(219\) | 22.7318 | + | 19.8732i | 0.103798 | + | 0.0907451i | ||||
\(220\) | −89.7922 | + | 196.618i | −0.408146 | + | 0.893716i | ||||
\(221\) | −112.904 | + | 175.683i | −0.510879 | + | 0.794944i | ||||
\(222\) | −27.0409 | + | 182.368i | −0.121806 | + | 0.821479i | ||||
\(223\) | −279.023 | + | 179.317i | −1.25123 | + | 0.804114i | −0.987058 | − | 0.160363i | \(-0.948734\pi\) |
−0.264168 | + | 0.964477i | \(0.585097\pi\) | |||||||
\(224\) | 156.677 | − | 243.793i | 0.699449 | − | 1.08836i | ||||
\(225\) | −176.188 | − | 206.987i | −0.783056 | − | 0.919944i | ||||
\(226\) | −112.159 | + | 32.9328i | −0.496278 | + | 0.145720i | ||||
\(227\) | −55.5963 | + | 48.1745i | −0.244918 | + | 0.212222i | −0.768666 | − | 0.639651i | \(-0.779079\pi\) |
0.523748 | + | 0.851873i | \(0.324533\pi\) | |||||||
\(228\) | −90.7774 | − | 13.4601i | −0.398146 | − | 0.0590357i | ||||
\(229\) | −58.0946 | − | 17.0581i | −0.253688 | − | 0.0744896i | 0.152416 | − | 0.988316i | \(-0.451295\pi\) |
−0.406104 | + | 0.913827i | \(0.633113\pi\) | |||||||
\(230\) | 256.314i | 1.11441i | ||||||||
\(231\) | 472.830 | + | 2.08239i | 2.04688 | + | 0.00901469i | ||||
\(232\) | −42.2375 | − | 12.4021i | −0.182058 | − | 0.0534572i | ||||
\(233\) | −16.8153 | − | 26.1651i | −0.0721687 | − | 0.112297i | 0.803293 | − | 0.595584i | \(-0.203079\pi\) |
−0.875462 | + | 0.483287i | \(0.839443\pi\) | |||||||
\(234\) | 89.8164 | + | 41.9778i | 0.383831 | + | 0.179392i | ||||
\(235\) | 26.0268 | − | 56.9907i | 0.110752 | − | 0.242514i | ||||
\(236\) | −38.3617 | − | 59.6920i | −0.162550 | − | 0.252932i | ||||
\(237\) | −108.454 | + | 363.432i | −0.457612 | + | 1.53347i | ||||
\(238\) | −410.401 | −1.72437 | ||||||||
\(239\) | 4.78144i | 0.0200060i | 0.999950 | + | 0.0100030i | \(0.00318411\pi\) | ||||
−0.999950 | + | 0.0100030i | \(0.996816\pi\) | |||||||
\(240\) | −96.3227 | − | 28.7443i | −0.401345 | − | 0.119768i | ||||
\(241\) | −16.3685 | + | 113.846i | −0.0679192 | + | 0.472389i | 0.927268 | + | 0.374398i | \(0.122151\pi\) |
−0.995187 | + | 0.0979907i | \(0.968758\pi\) | |||||||
\(242\) | −113.866 | + | 98.6658i | −0.470522 | + | 0.407710i | ||||
\(243\) | −63.3106 | − | 234.608i | −0.260538 | − | 0.965464i | ||||
\(244\) | 38.1194 | + | 43.9921i | 0.156227 | + | 0.180296i | ||||
\(245\) | −244.959 | + | 381.163i | −0.999831 | + | 1.55577i | ||||
\(246\) | −36.9050 | − | 57.9853i | −0.150021 | − | 0.235712i | ||||
\(247\) | 17.2430 | − | 119.927i | 0.0698095 | − | 0.485536i | ||||
\(248\) | 213.359 | − | 331.993i | 0.860320 | − | 1.33868i | ||||
\(249\) | −96.0703 | + | 207.936i | −0.385825 | + | 0.835085i | ||||
\(250\) | −36.3656 | + | 41.9681i | −0.145462 | + | 0.167872i | ||||
\(251\) | −203.467 | + | 176.305i | −0.810626 | + | 0.702411i | −0.958031 | − | 0.286665i | \(-0.907453\pi\) |
0.147405 | + | 0.989076i | \(0.452908\pi\) | |||||||
\(252\) | −24.4081 | − | 181.070i | −0.0968575 | − | 0.718532i | ||||
\(253\) | 149.907 | − | 328.251i | 0.592518 | − | 1.29743i | ||||
\(254\) | −147.668 | − | 127.955i | −0.581371 | − | 0.503761i | ||||
\(255\) | −168.475 | − | 583.264i | −0.660687 | − | 2.28731i | ||||
\(256\) | 259.621 | − | 76.2316i | 1.01414 | − | 0.297780i | ||||
\(257\) | −18.4676 | + | 2.65524i | −0.0718583 | + | 0.0103317i | −0.178150 | − | 0.984003i | \(-0.557011\pi\) |
0.106292 | + | 0.994335i | \(0.466102\pi\) | |||||||
\(258\) | −146.555 | + | 93.2759i | −0.568044 | + | 0.361535i | ||||
\(259\) | 186.344 | + | 408.036i | 0.719474 | + | 1.57543i | ||||
\(260\) | −31.0672 | + | 105.805i | −0.119489 | + | 0.406943i | ||||
\(261\) | −42.4263 | + | 18.9256i | −0.162553 | + | 0.0725119i | ||||
\(262\) | 11.3253 | − | 78.7692i | 0.0432263 | − | 0.300646i | ||||
\(263\) | −237.337 | + | 34.1240i | −0.902424 | + | 0.129749i | −0.577880 | − | 0.816122i | \(-0.696120\pi\) |
−0.324544 | + | 0.945871i | \(0.605211\pi\) | |||||||
\(264\) | 289.479 | + | 253.076i | 1.09651 | + | 0.958620i | ||||
\(265\) | 536.646 | + | 344.882i | 2.02508 | + | 1.30144i | ||||
\(266\) | 216.588 | − | 98.9123i | 0.814240 | − | 0.371851i | ||||
\(267\) | −271.554 | − | 1.19595i | −1.01706 | − | 0.00447922i | ||||
\(268\) | 79.1686 | + | 102.730i | 0.295405 | + | 0.383320i | ||||
\(269\) | 317.885i | 1.18173i | 0.806771 | + | 0.590864i | \(0.201213\pi\) | ||||
−0.806771 | + | 0.590864i | \(0.798787\pi\) | |||||||
\(270\) | −263.732 | + | 116.256i | −0.976784 | + | 0.430578i | ||||
\(271\) | 15.2431 | + | 9.79617i | 0.0562478 | + | 0.0361482i | 0.568462 | − | 0.822709i | \(-0.307538\pi\) |
−0.512215 | + | 0.858857i | \(0.671175\pi\) | |||||||
\(272\) | −92.8322 | − | 80.4396i | −0.341295 | − | 0.295734i | ||||
\(273\) | 238.916 | − | 33.2777i | 0.875151 | − | 0.121896i | ||||
\(274\) | −1.66198 | + | 11.5594i | −0.00606563 | + | 0.0421874i | ||||
\(275\) | 412.886 | − | 188.559i | 1.50140 | − | 0.685668i | ||||
\(276\) | −133.617 | − | 39.8736i | −0.484121 | − | 0.144470i | ||||
\(277\) | 58.1091 | + | 127.241i | 0.209780 | + | 0.459354i | 0.985048 | − | 0.172278i | \(-0.0551126\pi\) |
−0.775268 | + | 0.631632i | \(0.782385\pi\) | |||||||
\(278\) | −21.4751 | − | 33.4159i | −0.0772485 | − | 0.120201i | ||||
\(279\) | −55.6373 | − | 412.742i | −0.199417 | − | 1.47936i | ||||
\(280\) | −637.585 | + | 187.212i | −2.27709 | + | 0.668614i | ||||
\(281\) | −59.6691 | − | 203.214i | −0.212346 | − | 0.723183i | −0.994924 | − | 0.100630i | \(-0.967914\pi\) |
0.782578 | − | 0.622552i | \(-0.213904\pi\) | |||||||
\(282\) | −27.3637 | − | 23.9226i | −0.0970343 | − | 0.0848318i | ||||
\(283\) | 110.493 | − | 241.946i | 0.390435 | − | 0.854934i | −0.607716 | − | 0.794154i | \(-0.707914\pi\) |
0.998151 | − | 0.0607793i | \(-0.0193586\pi\) | |||||||
\(284\) | 200.486 | − | 28.8255i | 0.705937 | − | 0.101498i | ||||
\(285\) | 229.487 | + | 267.211i | 0.805217 | + | 0.937581i | ||||
\(286\) | −108.415 | + | 125.118i | −0.379074 | + | 0.437474i | ||||
\(287\) | −152.123 | − | 69.4721i | −0.530045 | − | 0.242063i | ||||
\(288\) | 136.295 | − | 208.027i | 0.473246 | − | 0.722317i | ||||
\(289\) | 64.4515 | − | 448.270i | 0.223016 | − | 1.55111i | ||||
\(290\) | 29.7898 | + | 46.3538i | 0.102723 | + | 0.159841i | ||||
\(291\) | 19.0584 | − | 29.3702i | 0.0654928 | − | 0.100929i | ||||
\(292\) | 12.7585 | + | 14.7241i | 0.0436936 | + | 0.0504251i | ||||
\(293\) | −21.7236 | − | 73.9836i | −0.0741418 | − | 0.252504i | 0.914080 | − | 0.405535i | \(-0.132915\pi\) |
−0.988221 | + | 0.153031i | \(0.951097\pi\) | |||||||
\(294\) | 171.253 | + | 199.404i | 0.582494 | + | 0.678246i | ||||
\(295\) | −38.7583 | + | 269.570i | −0.131384 | + | 0.913797i | ||||
\(296\) | −102.769 | + | 350.001i | −0.347194 | + | 1.18243i | ||||
\(297\) | 405.744 | + | 5.36109i | 1.36614 | + | 0.0180508i | ||||
\(298\) | 161.505 | 0.541964 | ||||||||
\(299\) | 51.8664 | − | 176.641i | 0.173466 | − | 0.590771i | ||||
\(300\) | −94.1737 | − | 147.966i | −0.313912 | − | 0.493220i | ||||
\(301\) | −175.588 | + | 384.484i | −0.583348 | + | 1.27735i | ||||
\(302\) | −88.9782 | − | 40.6350i | −0.294630 | − | 0.134553i | ||||
\(303\) | −143.895 | + | 91.5825i | −0.474900 | + | 0.302253i | ||||
\(304\) | 68.3789 | + | 20.0779i | 0.224931 | + | 0.0660456i | ||||
\(305\) | − | 223.420i | − | 0.732526i | ||||||
\(306\) | −352.186 | − | 3.10219i | −1.15093 | − | 0.0101379i | ||||
\(307\) | −84.0375 | − | 24.6756i | −0.273738 | − | 0.0803767i | 0.141983 | − | 0.989869i | \(-0.454652\pi\) |
−0.415720 | + | 0.909493i | \(0.636470\pi\) | |||||||
\(308\) | 301.993 | + | 43.4201i | 0.980498 | + | 0.140974i | ||||
\(309\) | 168.857 | − | 145.018i | 0.546462 | − | 0.469314i | ||||
\(310\) | −473.965 | + | 139.169i | −1.52892 | + | 0.448931i | ||||
\(311\) | −388.101 | + | 336.291i | −1.24791 | + | 1.08132i | −0.254460 | + | 0.967083i | \(0.581898\pi\) |
−0.993453 | + | 0.114240i | \(0.963557\pi\) | |||||||
\(312\) | 164.552 | + | 106.778i | 0.527411 | + | 0.342238i | ||||
\(313\) | −55.8794 | + | 35.9115i | −0.178529 | + | 0.114733i | −0.626853 | − | 0.779138i | \(-0.715657\pi\) |
0.448324 | + | 0.893871i | \(0.352021\pi\) | |||||||
\(314\) | 348.530 | + | 50.1110i | 1.10997 | + | 0.159589i | ||||
\(315\) | −384.314 | + | 586.580i | −1.22005 | + | 1.86216i | ||||
\(316\) | −101.662 | + | 222.610i | −0.321716 | + | 0.704461i | ||||
\(317\) | 127.177 | + | 110.199i | 0.401189 | + | 0.347632i | 0.831966 | − | 0.554826i | \(-0.187215\pi\) |
−0.430778 | + | 0.902458i | \(0.641761\pi\) | |||||||
\(318\) | 280.745 | − | 241.110i | 0.882846 | − | 0.758209i | ||||
\(319\) | −11.0402 | − | 76.7863i | −0.0346088 | − | 0.240709i | ||||
\(320\) | −390.237 | − | 178.215i | −1.21949 | − | 0.556923i | ||||
\(321\) | 298.369 | − | 341.287i | 0.929498 | − | 1.06320i | ||||
\(322\) | 347.134 | − | 101.928i | 1.07806 | − | 0.316546i | ||||
\(323\) | 121.264 | + | 412.986i | 0.375429 | + | 1.27859i | ||||
\(324\) | −19.5771 | − | 155.570i | −0.0604232 | − | 0.480154i | ||||
\(325\) | 194.805 | − | 125.193i | 0.599400 | − | 0.385211i | ||||
\(326\) | 78.6023 | − | 35.8964i | 0.241111 | − | 0.110112i | ||||
\(327\) | −15.1309 | + | 50.7041i | −0.0462720 | + | 0.155058i | ||||
\(328\) | −56.4944 | − | 123.705i | −0.172239 | − | 0.377151i | ||||
\(329\) | −87.5344 | − | 12.5856i | −0.266062 | − | 0.0382540i | ||||
\(330\) | −66.3957 | − | 476.686i | −0.201199 | − | 1.44450i | ||||
\(331\) | 308.060 | − | 355.520i | 0.930695 | − | 1.07408i | −0.0663911 | − | 0.997794i | \(-0.521148\pi\) |
0.997086 | − | 0.0762855i | \(-0.0243061\pi\) | |||||||
\(332\) | −79.9067 | + | 124.337i | −0.240683 | + | 0.374510i | ||||
\(333\) | 156.827 | + | 351.565i | 0.470951 | + | 1.05575i | ||||
\(334\) | 84.2981 | 0.252390 | ||||||||
\(335\) | 28.5641 | − | 496.977i | 0.0852661 | − | 1.48351i | ||||
\(336\) | −0.624871 | + | 141.884i | −0.00185974 | + | 0.422273i | ||||
\(337\) | −22.7076 | − | 49.7227i | −0.0673816 | − | 0.147545i | 0.872945 | − | 0.487819i | \(-0.162207\pi\) |
−0.940326 | + | 0.340274i | \(0.889480\pi\) | |||||||
\(338\) | 85.6106 | − | 133.213i | 0.253286 | − | 0.394120i | ||||
\(339\) | −160.649 | + | 183.758i | −0.473892 | + | 0.542059i | ||||
\(340\) | −55.7503 | − | 387.752i | −0.163972 | − | 1.14045i | ||||
\(341\) | 688.382 | + | 98.9744i | 2.01871 | + | 0.290247i | ||||
\(342\) | 186.613 | − | 83.2445i | 0.545651 | − | 0.243405i | ||||
\(343\) | 120.574 | + | 35.4037i | 0.351528 | + | 0.103218i | ||||
\(344\) | −312.660 | + | 142.787i | −0.908896 | + | 0.415079i | ||||
\(345\) | 287.363 | + | 451.506i | 0.832937 | + | 1.30871i | ||||
\(346\) | −37.5128 | − | 260.907i | −0.108418 | − | 0.754067i | ||||
\(347\) | 35.1578 | + | 119.736i | 0.101319 | + | 0.345062i | 0.994513 | − | 0.104610i | \(-0.0333593\pi\) |
−0.893194 | + | 0.449671i | \(0.851541\pi\) | |||||||
\(348\) | −28.7987 | + | 8.31847i | −0.0827549 | + | 0.0239037i | ||||
\(349\) | 65.3653 | − | 75.4356i | 0.187293 | − | 0.216148i | −0.654336 | − | 0.756204i | \(-0.727052\pi\) |
0.841629 | + | 0.540056i | \(0.181597\pi\) | |||||||
\(350\) | 413.948 | + | 189.044i | 1.18271 | + | 0.540124i | ||||
\(351\) | 205.278 | − | 26.7513i | 0.584837 | − | 0.0762146i | ||||
\(352\) | 271.962 | + | 313.861i | 0.772620 | + | 0.891651i | ||||
\(353\) | 419.783 | + | 363.744i | 1.18919 | + | 1.03044i | 0.998812 | + | 0.0487262i | \(0.0155162\pi\) |
0.190376 | + | 0.981711i | \(0.439029\pi\) | |||||||
\(354\) | 143.425 | + | 66.2649i | 0.405155 | + | 0.187189i | ||||
\(355\) | −654.003 | − | 420.302i | −1.84226 | − | 1.18395i | ||||
\(356\) | −173.440 | − | 24.9369i | −0.487190 | − | 0.0700473i | ||||
\(357\) | −722.937 | + | 460.117i | −2.02503 | + | 1.28884i | ||||
\(358\) | 70.9170 | + | 45.5756i | 0.198092 | + | 0.127306i | ||||
\(359\) | 142.702 | − | 123.652i | 0.397499 | − | 0.344435i | −0.433060 | − | 0.901365i | \(-0.642566\pi\) |
0.830559 | + | 0.556930i | \(0.188021\pi\) | |||||||
\(360\) | −548.559 | + | 155.837i | −1.52378 | + | 0.432879i | ||||
\(361\) | 72.8730 | + | 84.0999i | 0.201864 | + | 0.232964i | ||||
\(362\) | −316.169 | − | 45.4583i | −0.873396 | − | 0.125575i | ||||
\(363\) | −89.9617 | + | 301.464i | −0.247828 | + | 0.830478i | ||||
\(364\) | 155.650 | 0.427610 | ||||||||
\(365\) | − | 74.7786i | − | 0.204873i | ||||||
\(366\) | −124.200 | − | 37.0633i | −0.339344 | − | 0.101266i | ||||
\(367\) | 47.8106 | − | 30.7260i | 0.130274 | − | 0.0837221i | −0.473881 | − | 0.880589i | \(-0.657147\pi\) |
0.604155 | + | 0.796867i | \(0.293511\pi\) | |||||||
\(368\) | 98.4994 | + | 44.9832i | 0.267661 | + | 0.122237i | ||||
\(369\) | −130.019 | − | 60.7675i | −0.352356 | − | 0.164682i | ||||
\(370\) | 384.110 | − | 246.852i | 1.03813 | − | 0.667169i | ||||
\(371\) | 253.678 | − | 863.947i | 0.683767 | − | 2.32870i | ||||
\(372\) | 1.18351 | − | 268.730i | 0.00318149 | − | 0.722392i | ||||
\(373\) | 307.670 | 0.824852 | 0.412426 | − | 0.910991i | \(-0.364682\pi\) | ||||
0.412426 | + | 0.910991i | \(0.364682\pi\) | |||||||
\(374\) | 165.695 | − | 564.306i | 0.443035 | − | 1.50884i | ||||
\(375\) | −17.0072 | + | 114.699i | −0.0453525 | + | 0.305865i | ||||
\(376\) | −47.0940 | − | 54.3494i | −0.125250 | − | 0.144546i | ||||
\(377\) | −11.1499 | − | 37.9732i | −0.0295754 | − | 0.100725i | ||||
\(378\) | 262.327 | + | 310.949i | 0.693987 | + | 0.822617i | ||||
\(379\) | −548.160 | − | 352.281i | −1.44633 | − | 0.929501i | −0.999389 | − | 0.0349376i | \(-0.988877\pi\) |
−0.446942 | − | 0.894563i | \(-0.647487\pi\) | |||||||
\(380\) | 122.876 | + | 191.198i | 0.323357 | + | 0.503153i | ||||
\(381\) | −403.579 | − | 59.8412i | −1.05926 | − | 0.157064i | ||||
\(382\) | −221.737 | − | 142.501i | −0.580462 | − | 0.373040i | ||||
\(383\) | −259.630 | − | 118.569i | −0.677884 | − | 0.309579i | 0.0465575 | − | 0.998916i | \(-0.485175\pi\) |
−0.724441 | + | 0.689336i | \(0.757902\pi\) | |||||||
\(384\) | 54.4463 | − | 62.2781i | 0.141787 | − | 0.162183i | ||||
\(385\) | −766.858 | − | 885.002i | −1.99184 | − | 2.29871i | ||||
\(386\) | 368.497 | − | 52.9819i | 0.954655 | − | 0.137259i | ||||
\(387\) | −153.587 | + | 328.618i | −0.396866 | + | 0.849142i | ||||
\(388\) | 14.7943 | − | 17.0736i | 0.0381298 | − | 0.0440041i | ||||
\(389\) | 115.555 | + | 393.543i | 0.297056 | + | 1.01168i | 0.963852 | + | 0.266439i | \(0.0858471\pi\) |
−0.666796 | + | 0.745240i | \(0.732335\pi\) | |||||||
\(390\) | −68.1371 | − | 235.892i | −0.174710 | − | 0.604851i | ||||
\(391\) | 93.0745 | + | 647.348i | 0.238042 | + | 1.65562i | ||||
\(392\) | 281.171 | + | 437.511i | 0.717273 | + | 1.11610i | ||||
\(393\) | −68.3613 | − | 151.452i | −0.173947 | − | 0.385374i | ||||
\(394\) | −13.7068 | − | 4.02469i | −0.0347889 | − | 0.0102149i | ||||
\(395\) | 854.416 | − | 390.199i | 2.16308 | − | 0.987845i | ||||
\(396\) | 258.828 | + | 39.5437i | 0.653605 | + | 0.0998579i | ||||
\(397\) | 8.24425 | + | 57.3400i | 0.0207664 | + | 0.144433i | 0.997567 | − | 0.0697189i | \(-0.0222102\pi\) |
−0.976800 | + | 0.214152i | \(0.931301\pi\) | |||||||
\(398\) | −428.674 | − | 371.448i | −1.07707 | − | 0.933287i | ||||
\(399\) | 270.633 | − | 417.063i | 0.678278 | − | 1.04527i | ||||
\(400\) | 56.5815 | + | 123.896i | 0.141454 | + | 0.309740i | ||||
\(401\) | 506.500i | 1.26309i | 0.775338 | + | 0.631546i | \(0.217579\pi\) | ||||
−0.775338 | + | 0.631546i | \(0.782421\pi\) | |||||||
\(402\) | −271.532 | − | 98.3227i | −0.675454 | − | 0.244584i | ||||
\(403\) | 354.798 | 0.880392 | ||||||||
\(404\) | −100.113 | + | 45.7202i | −0.247805 | + | 0.113169i | ||||
\(405\) | −334.234 | + | 500.469i | −0.825268 | + | 1.23573i | ||||
\(406\) | 50.9321 | − | 58.7787i | 0.125448 | − | 0.144775i | ||||
\(407\) | −636.288 | + | 91.4844i | −1.56336 | + | 0.224777i | ||||
\(408\) | −689.322 | − | 102.210i | −1.68951 | − | 0.250515i | ||||
\(409\) | −318.315 | − | 697.013i | −0.778276 | − | 1.70419i | −0.707520 | − | 0.706694i | \(-0.750186\pi\) |
−0.0707567 | − | 0.997494i | \(-0.522541\pi\) | |||||||
\(410\) | −47.9580 | + | 163.330i | −0.116971 | + | 0.398366i | ||||
\(411\) | 10.0320 | + | 22.2255i | 0.0244088 | + | 0.0540767i | ||||
\(412\) | 120.823 | − | 77.6480i | 0.293259 | − | 0.188466i | ||||
\(413\) | 380.501 | − | 54.7077i | 0.921309 | − | 0.132464i | ||||
\(414\) | 298.664 | − | 84.8455i | 0.721410 | − | 0.204941i | ||||
\(415\) | 544.304 | − | 159.822i | 1.31158 | − | 0.385114i | ||||
\(416\) | 160.120 | + | 138.745i | 0.384904 | + | 0.333521i | ||||
\(417\) | −75.2930 | − | 34.7867i | −0.180559 | − | 0.0834214i | ||||
\(418\) | 48.5604 | + | 337.745i | 0.116173 | + | 0.808003i | ||||
\(419\) | 208.097 | − | 180.317i | 0.496652 | − | 0.430351i | −0.370174 | − | 0.928962i | \(-0.620702\pi\) |
0.866826 | + | 0.498611i | \(0.166156\pi\) | |||||||
\(420\) | −297.824 | + | 340.664i | −0.709105 | + | 0.811106i | ||||
\(421\) | −275.144 | + | 602.482i | −0.653550 | + | 1.43107i | 0.234863 | + | 0.972028i | \(0.424536\pi\) |
−0.888413 | + | 0.459045i | \(0.848192\pi\) | |||||||
\(422\) | −290.108 | + | 451.417i | −0.687461 | + | 1.06971i | ||||
\(423\) | −75.0226 | − | 11.4620i | −0.177359 | − | 0.0270969i | ||||
\(424\) | 615.980 | − | 395.866i | 1.45278 | − | 0.933647i | ||||
\(425\) | −444.748 | + | 692.041i | −1.04647 | + | 1.62833i | ||||
\(426\) | −342.140 | + | 293.838i | −0.803145 | + | 0.689760i | ||||
\(427\) | −302.586 | + | 88.8472i | −0.708632 | + | 0.208073i | ||||
\(428\) | 221.063 | − | 191.552i | 0.516502 | − | 0.447552i | ||||
\(429\) | −50.7028 | + | 341.948i | −0.118188 | + | 0.797081i | ||||
\(430\) | 412.810 | + | 121.212i | 0.960023 | + | 0.281888i | ||||
\(431\) | − | 131.321i | − | 0.304690i | −0.988327 | − | 0.152345i | \(-0.951318\pi\) | ||
0.988327 | − | 0.152345i | \(-0.0486824\pi\) | |||||||
\(432\) | −1.60872 | + | 121.753i | −0.00372389 | + | 0.281836i | ||||
\(433\) | 540.776 | + | 158.786i | 1.24891 | + | 0.366712i | 0.838354 | − | 0.545126i | \(-0.183518\pi\) |
0.410551 | + | 0.911838i | \(0.365336\pi\) | |||||||
\(434\) | 376.961 | + | 586.563i | 0.868575 | + | 1.35153i | ||||
\(435\) | 104.445 | + | 48.2554i | 0.240103 | + | 0.110932i | ||||
\(436\) | −14.1834 | + | 31.0573i | −0.0325308 | + | 0.0712324i | ||||
\(437\) | −205.139 | − | 319.203i | −0.469427 | − | 0.730442i | ||||
\(438\) | −41.5696 | − | 12.4051i | −0.0949078 | − | 0.0283220i | ||||
\(439\) | 550.425 | 1.25382 | 0.626908 | − | 0.779094i | \(-0.284320\pi\) | ||||
0.626908 | + | 0.779094i | \(0.284320\pi\) | |||||||
\(440\) | − | 952.271i | − | 2.16425i | ||||||
\(441\) | 525.229 | + | 159.259i | 1.19099 | + | 0.361132i | ||||
\(442\) | 42.7004 | − | 296.988i | 0.0966072 | − | 0.671918i | ||||
\(443\) | 251.521 | − | 217.944i | 0.567768 | − | 0.491974i | −0.323021 | − | 0.946392i | \(-0.604698\pi\) |
0.890788 | + | 0.454418i | \(0.150153\pi\) | |||||||
\(444\) | 68.9309 | + | 238.640i | 0.155250 | + | 0.537477i | ||||
\(445\) | 440.419 | + | 508.271i | 0.989706 | + | 1.14218i | ||||
\(446\) | 257.633 | − | 400.885i | 0.577653 | − | 0.898846i | ||||
\(447\) | 284.497 | − | 181.070i | 0.636459 | − | 0.405078i | ||||
\(448\) | −86.1782 | + | 599.382i | −0.192362 | + | 1.33791i | ||||
\(449\) | −61.5180 | + | 95.7239i | −0.137011 | + | 0.213193i | −0.902978 | − | 0.429686i | \(-0.858624\pi\) |
0.765967 | + | 0.642880i | \(0.222261\pi\) | |||||||
\(450\) | 353.801 | + | 165.357i | 0.786224 | + | 0.367460i | ||||
\(451\) | 156.943 | − | 181.122i | 0.347989 | − | 0.401600i | ||||
\(452\) | −119.026 | + | 103.137i | −0.263332 | + | 0.228178i | ||||
\(453\) | −202.296 | + | 28.1770i | −0.446569 | + | 0.0622008i | ||||
\(454\) | 43.9066 | − | 96.1421i | 0.0967107 | − | 0.211767i | ||||
\(455\) | −451.495 | − | 391.222i | −0.992296 | − | 0.859830i | ||||
\(456\) | 388.421 | − | 112.195i | 0.851801 | − | 0.246042i | ||||
\(457\) | 383.596 | − | 112.634i | 0.839379 | − | 0.246464i | 0.166338 | − | 0.986069i | \(-0.446806\pi\) |
0.673041 | + | 0.739605i | \(0.264988\pi\) | |||||||
\(458\) | 86.1054 | − | 12.3801i | 0.188003 | − | 0.0270308i | ||||
\(459\) | −623.867 | + | 389.385i | −1.35919 | + | 0.848334i | ||||
\(460\) | 143.459 | + | 314.130i | 0.311866 | + | 0.682892i | ||||
\(461\) | 166.254 | − | 566.208i | 0.360637 | − | 1.22822i | −0.556904 | − | 0.830577i | \(-0.688011\pi\) |
0.917541 | − | 0.397640i | \(-0.130171\pi\) | |||||||
\(462\) | −619.189 | + | 279.485i | −1.34024 | + | 0.604946i | ||||
\(463\) | −38.4045 | + | 267.109i | −0.0829471 | + | 0.576910i | 0.905385 | + | 0.424592i | \(0.139583\pi\) |
−0.988332 | + | 0.152317i | \(0.951326\pi\) | |||||||
\(464\) | 23.0415 | − | 3.31287i | 0.0496585 | − | 0.00713981i | ||||
\(465\) | −678.879 | + | 776.531i | −1.45995 | + | 1.66996i | ||||
\(466\) | 37.5926 | + | 24.1593i | 0.0806709 | + | 0.0518440i | ||||
\(467\) | −321.219 | + | 146.696i | −0.687834 | + | 0.314123i | −0.728497 | − | 0.685050i | \(-0.759781\pi\) |
0.0406621 | + | 0.999173i | \(0.487053\pi\) | |||||||
\(468\) | 133.571 | + | 1.17655i | 0.285409 | + | 0.00251399i | ||||
\(469\) | −684.432 | + | 158.947i | −1.45934 | + | 0.338906i | ||||
\(470\) | 90.0156i | 0.191523i | ||||||||
\(471\) | 670.130 | − | 302.478i | 1.42278 | − | 0.642204i | ||||
\(472\) | 262.978 | + | 169.006i | 0.557157 | + | 0.358063i | ||||
\(473\) | −457.778 | − | 396.667i | −0.967817 | − | 0.838619i | ||||
\(474\) | −75.1730 | − | 539.702i | −0.158593 | − | 1.13861i | ||||
\(475\) | 67.9227 | − | 472.413i | 0.142995 | − | 0.994553i | ||||
\(476\) | −502.975 | + | 229.701i | −1.05667 | + | 0.482566i | ||||
\(477\) | 224.224 | − | 739.479i | 0.470072 | − | 1.55027i | ||||
\(478\) | −2.85378 | − | 6.24890i | −0.00597025 | − | 0.0130730i | ||||
\(479\) | −133.310 | − | 207.434i | −0.278309 | − | 0.433057i | 0.673756 | − | 0.738954i | \(-0.264680\pi\) |
−0.952065 | + | 0.305897i | \(0.901044\pi\) | |||||||
\(480\) | −610.043 | + | 84.9704i | −1.27092 | + | 0.177022i | ||||
\(481\) | −314.664 | + | 92.3938i | −0.654188 | + | 0.192087i | ||||
\(482\) | −46.5561 | − | 158.555i | −0.0965894 | − | 0.328953i | ||||
\(483\) | 497.214 | − | 568.735i | 1.02943 | − | 1.17751i | ||||
\(484\) | −84.3281 | + | 184.653i | −0.174232 | + | 0.381514i | ||||
\(485\) | −85.8281 | + | 12.3402i | −0.176965 | + | 0.0254437i | ||||
\(486\) | 222.766 | + | 268.824i | 0.458366 | + | 0.553136i | ||||
\(487\) | −628.630 | + | 725.478i | −1.29082 | + | 1.48969i | −0.517487 | + | 0.855691i | \(0.673132\pi\) |
−0.773335 | + | 0.633997i | \(0.781413\pi\) | |||||||
\(488\) | −233.274 | − | 106.533i | −0.478021 | − | 0.218305i | ||||
\(489\) | 98.2158 | − | 151.357i | 0.200850 | − | 0.309524i | ||||
\(490\) | 92.6432 | − | 644.348i | 0.189068 | − | 1.31500i | ||||
\(491\) | 346.077 | + | 538.507i | 0.704842 | + | 1.09675i | 0.990378 | + | 0.138387i | \(0.0441918\pi\) |
−0.285537 | + | 0.958368i | \(0.592172\pi\) | |||||||
\(492\) | −77.6841 | − | 50.4093i | −0.157894 | − | 0.102458i | ||||
\(493\) | 92.0696 | + | 106.254i | 0.186754 | + | 0.215525i | ||||
\(494\) | 49.0431 | + | 167.026i | 0.0992776 | + | 0.338108i | ||||
\(495\) | −651.391 | − | 765.262i | −1.31594 | − | 1.54598i | ||||
\(496\) | −29.6996 | + | 206.565i | −0.0598782 | + | 0.416462i | ||||
\(497\) | −309.153 | + | 1052.88i | −0.622039 | + | 2.11847i | ||||
\(498\) | 1.44936 | − | 329.093i | 0.00291036 | − | 0.660829i | ||||
\(499\) | −812.640 | −1.62854 | −0.814268 | − | 0.580489i | \(-0.802861\pi\) | ||||
−0.814268 | + | 0.580489i | \(0.802861\pi\) | |||||||
\(500\) | −21.0791 | + | 71.7887i | −0.0421581 | + | 0.143577i | ||||
\(501\) | 148.494 | − | 94.5100i | 0.296396 | − | 0.188643i | ||||
\(502\) | 160.686 | − | 351.853i | 0.320092 | − | 0.700903i | ||||
\(503\) | 372.699 | + | 170.206i | 0.740953 | + | 0.338382i | 0.749876 | − | 0.661578i | \(-0.230113\pi\) |
−0.00892323 | + | 0.999960i | \(0.502840\pi\) | |||||||
\(504\) | 429.199 | + | 680.961i | 0.851586 | + | 1.35111i | ||||
\(505\) | 405.315 | + | 119.011i | 0.802605 | + | 0.235666i | ||||
\(506\) | 518.465i | 1.02464i | ||||||||
\(507\) | 1.45618 | − | 330.640i | 0.00287214 | − | 0.652151i | ||||
\(508\) | −252.595 | − | 74.1684i | −0.497233 | − | 0.146001i | ||||
\(509\) | 586.904 | + | 84.3841i | 1.15305 | + | 0.165784i | 0.692209 | − | 0.721697i | \(-0.256638\pi\) |
0.460844 | + | 0.887481i | \(0.347547\pi\) | |||||||
\(510\) | 568.300 | + | 661.719i | 1.11431 | + | 1.29749i | ||||
\(511\) | −101.275 | + | 29.7371i | −0.198190 | + | 0.0581939i | ||||
\(512\) | −210.446 | + | 182.353i | −0.411028 | + | 0.356158i | ||||
\(513\) | 235.396 | − | 355.857i | 0.458862 | − | 0.693679i | ||||
\(514\) | 22.5507 | − | 14.4924i | 0.0438729 | − | 0.0281954i | ||||
\(515\) | −545.637 | − | 78.4508i | −1.05949 | − | 0.152332i | ||||
\(516\) | −127.407 | + | 196.343i | −0.246914 | + | 0.380510i | ||||
\(517\) | 52.6464 | − | 115.280i | 0.101831 | − | 0.222978i | ||||
\(518\) | −487.069 | − | 422.048i | −0.940287 | − | 0.814764i | ||||
\(519\) | −358.594 | − | 417.541i | −0.690932 | − | 0.804510i | ||||
\(520\) | −69.1384 | − | 480.868i | −0.132958 | − | 0.924747i | ||||
\(521\) | −548.352 | − | 250.424i | −1.05250 | − | 0.480660i | −0.187412 | − | 0.982281i | \(-0.560010\pi\) |
−0.865087 | + | 0.501621i | \(0.832737\pi\) | |||||||
\(522\) | 44.1517 | − | 50.0560i | 0.0845818 | − | 0.0958928i | ||||
\(523\) | 518.071 | − | 152.119i | 0.990575 | − | 0.290859i | 0.253992 | − | 0.967206i | \(-0.418256\pi\) |
0.736583 | + | 0.676347i | \(0.236438\pi\) | |||||||
\(524\) | −30.2071 | − | 102.876i | −0.0576472 | − | 0.196328i | ||||
\(525\) | 941.128 | − | 131.086i | 1.79262 | − | 0.249688i | ||||
\(526\) | 289.812 | − | 186.251i | 0.550973 | − | 0.354089i | ||||
\(527\) | −1146.51 | + | 523.595i | −2.17555 | + | 0.993539i | ||||
\(528\) | −194.839 | − | 58.1433i | −0.369014 | − | 0.110120i | ||||
\(529\) | −19.7478 | − | 43.2417i | −0.0373305 | − | 0.0817423i | ||||
\(530\) | −907.189 | − | 130.434i | −1.71168 | − | 0.246102i | ||||
\(531\) | 326.941 | − | 44.0713i | 0.615707 | − | 0.0829969i | ||||
\(532\) | 210.082 | − | 242.448i | 0.394892 | − | 0.455729i | ||||
\(533\) | 66.1013 | − | 102.856i | 0.124018 | − | 0.192975i | ||||
\(534\) | 355.610 | − | 160.513i | 0.665937 | − | 0.300586i | ||||
\(535\) | −1122.70 | −2.09851 | ||||||||
\(536\) | −505.276 | − | 266.796i | −0.942680 | − | 0.497754i | ||||
\(537\) | 176.019 | + | 0.775208i | 0.327783 | + | 0.00144359i | ||||
\(538\) | −189.728 | − | 415.447i | −0.352655 | − | 0.772206i | ||||
\(539\) | −495.497 | + | 771.008i | −0.919289 | + | 1.43044i | ||||
\(540\) | −258.153 | + | 290.090i | −0.478062 | + | 0.537204i | ||||
\(541\) | −22.4769 | − | 156.330i | −0.0415469 | − | 0.288965i | −0.999993 | − | 0.00369214i | \(-0.998825\pi\) |
0.958446 | − | 0.285273i | \(-0.0920843\pi\) | |||||||
\(542\) | −25.7682 | − | 3.70491i | −0.0475428 | − | 0.00683562i | ||||
\(543\) | −607.909 | + | 274.393i | −1.11954 | + | 0.505329i | ||||
\(544\) | −722.174 | − | 212.049i | −1.32753 | − | 0.389797i | ||||
\(545\) | 119.204 | − | 54.4385i | 0.218722 | − | 0.0998872i | ||||
\(546\) | −292.380 | + | 186.087i | −0.535495 | + | 0.340819i | ||||
\(547\) | −83.0189 | − | 577.409i | −0.151771 | − | 1.05559i | −0.913249 | − | 0.407402i | \(-0.866435\pi\) |
0.761478 | − | 0.648191i | \(-0.224474\pi\) | |||||||
\(548\) | 4.43288 | + | 15.0970i | 0.00808920 | + | 0.0275493i | ||||
\(549\) | −260.336 | + | 73.9571i | −0.474200 | + | 0.134712i | ||||
\(550\) | −427.064 | + | 492.858i | −0.776480 | + | 0.896105i | ||||
\(551\) | −74.1981 | − | 33.8851i | −0.134661 | − | 0.0614975i | ||||
\(552\) | 608.442 | − | 84.7474i | 1.10225 | − | 0.153528i | ||||
\(553\) | −868.234 | − | 1002.00i | −1.57004 | − | 1.81193i | ||||
\(554\) | −151.887 | − | 131.611i | −0.274164 | − | 0.237564i | ||||
\(555\) | 399.868 | − | 865.480i | 0.720482 | − | 1.55942i | ||||
\(556\) | −45.0221 | − | 28.9339i | −0.0809749 | − | 0.0520394i | ||||
\(557\) | −203.384 | − | 29.2422i | −0.365141 | − | 0.0524994i | −0.0426977 | − | 0.999088i | \(-0.513595\pi\) |
−0.322444 | + | 0.946589i | \(0.604504\pi\) | |||||||
\(558\) | 319.056 | + | 506.209i | 0.571785 | + | 0.907185i | ||||
\(559\) | −259.963 | − | 167.068i | −0.465051 | − | 0.298870i | ||||
\(560\) | 265.566 | − | 230.114i | 0.474224 | − | 0.410918i | ||||
\(561\) | −340.788 | − | 1179.81i | −0.607465 | − | 2.10305i | ||||
\(562\) | 199.270 | + | 229.969i | 0.354572 | + | 0.409198i | ||||
\(563\) | 122.350 | + | 17.5912i | 0.217317 | + | 0.0312455i | 0.250113 | − | 0.968217i | \(-0.419532\pi\) |
−0.0327962 | + | 0.999462i | \(0.510441\pi\) | |||||||
\(564\) | −46.9256 | − | 14.0034i | −0.0832013 | − | 0.0248287i | ||||
\(565\) | 604.491 | 1.06990 | ||||||||
\(566\) | 382.149i | 0.675175i | ||||||||
\(567\) | 810.716 | + | 253.643i | 1.42983 | + | 0.447342i | ||||
\(568\) | −750.686 | + | 482.436i | −1.32163 | + | 0.849360i | ||||
\(569\) | −258.062 | − | 117.853i | −0.453536 | − | 0.207123i | 0.175531 | − | 0.984474i | \(-0.443836\pi\) |
−0.629067 | + | 0.777351i | \(0.716563\pi\) | |||||||
\(570\) | −459.402 | − | 212.252i | −0.805968 | − | 0.372372i | ||||
\(571\) | −138.815 | + | 89.2109i | −0.243108 | + | 0.156236i | −0.656521 | − | 0.754307i | \(-0.727973\pi\) |
0.413413 | + | 0.910544i | \(0.364337\pi\) | |||||||
\(572\) | −62.8421 | + | 214.020i | −0.109864 | + | 0.374162i | ||||
\(573\) | −550.361 | − | 2.42385i | −0.960491 | − | 0.00423010i | ||||
\(574\) | 240.275 | 0.418597 | ||||||||
\(575\) | 204.310 | − | 695.815i | 0.355321 | − | 1.21011i | ||||
\(576\) | −78.4846 | + | 513.709i | −0.136258 | + | 0.891856i | ||||
\(577\) | −212.966 | − | 245.776i | −0.369093 | − | 0.425956i | 0.540573 | − | 0.841297i | \(-0.318208\pi\) |
−0.909666 | + | 0.415342i | \(0.863662\pi\) | |||||||
\(578\) | 183.316 | + | 624.316i | 0.317155 | + | 1.08013i | ||||
\(579\) | 589.721 | − | 506.466i | 1.01852 | − | 0.874725i | ||||
\(580\) | 62.4536 | + | 40.1365i | 0.107679 | + | 0.0692009i | ||||
\(581\) | −432.905 | − | 673.613i | −0.745103 | − | 1.15940i | ||||
\(582\) | −7.37810 | + | 49.7592i | −0.0126772 | + | 0.0854968i | ||||
\(583\) | 1085.52 | + | 697.619i | 1.86195 | + | 1.19660i | ||||
\(584\) | −78.0767 | − | 35.6564i | −0.133693 | − | 0.0610555i | ||||
\(585\) | −384.494 | − | 339.141i | −0.657254 | − | 0.579728i | ||||
\(586\) | 72.5475 | + | 83.7243i | 0.123801 | + | 0.142874i | ||||
\(587\) | 703.427 | − | 101.138i | 1.19834 | − | 0.172296i | 0.485893 | − | 0.874018i | \(-0.338495\pi\) |
0.712450 | + | 0.701723i | \(0.247586\pi\) | |||||||
\(588\) | 321.489 | + | 148.534i | 0.546750 | + | 0.252609i | ||||
\(589\) | 478.875 | − | 552.651i | 0.813030 | − | 0.938287i | ||||
\(590\) | −110.238 | − | 375.436i | −0.186844 | − | 0.636333i | ||||
\(591\) | −28.6573 | + | 8.27763i | −0.0484895 | + | 0.0140061i | ||||
\(592\) | −27.4521 | − | 190.933i | −0.0463717 | − | 0.322522i | ||||
\(593\) | 492.474 | + | 766.304i | 0.830478 | + | 1.29225i | 0.953970 | + | 0.299904i | \(0.0969545\pi\) |
−0.123491 | + | 0.992346i | \(0.539409\pi\) | |||||||
\(594\) | −533.470 | + | 235.160i | −0.898098 | + | 0.395892i | ||||
\(595\) | 2036.33 | + | 597.921i | 3.42241 | + | 1.00491i | ||||
\(596\) | 197.936 | − | 90.3944i | 0.332107 | − | 0.151668i | ||||
\(597\) | −1171.57 | − | 173.716i | −1.96243 | − | 0.290982i | ||||
\(598\) | 37.6425 | + | 261.809i | 0.0629473 | + | 0.437808i | ||||
\(599\) | 865.763 | + | 750.188i | 1.44535 | + | 1.25240i | 0.914287 | + | 0.405067i | \(0.132752\pi\) |
0.531061 | + | 0.847334i | \(0.321793\pi\) | |||||||
\(600\) | 648.197 | + | 420.616i | 1.08033 | + | 0.701027i | ||||
\(601\) | 46.0323 | + | 100.797i | 0.0765929 | + | 0.167715i | 0.944055 | − | 0.329788i | \(-0.106977\pi\) |
−0.867462 | + | 0.497504i | \(0.834250\pi\) | |||||||
\(602\) | − | 607.284i | − | 1.00878i | ||||||
\(603\) | −588.548 | + | 131.227i | −0.976033 | + | 0.217623i | ||||
\(604\) | −131.792 | −0.218199 | ||||||||
\(605\) | 708.731 | − | 323.667i | 1.17146 | − | 0.534986i | ||||
\(606\) | 133.397 | − | 205.573i | 0.220126 | − | 0.339229i | ||||
\(607\) | 397.625 | − | 458.884i | 0.655066 | − | 0.755986i | −0.326897 | − | 0.945060i | \(-0.606003\pi\) |
0.981963 | + | 0.189074i | \(0.0605486\pi\) | |||||||
\(608\) | 432.232 | − | 62.1456i | 0.710908 | − | 0.102213i | ||||
\(609\) | 23.8195 | − | 160.643i | 0.0391125 | − | 0.263781i | ||||
\(610\) | 133.347 | + | 291.990i | 0.218602 | + | 0.478672i | ||||
\(611\) | 18.2151 | − | 62.0350i | 0.0298120 | − | 0.101530i | ||||
\(612\) | −433.365 | + | 193.316i | −0.708113 | + | 0.315876i | ||||
\(613\) | −496.552 | + | 319.114i | −0.810035 | + | 0.520578i | −0.878876 | − | 0.477050i | \(-0.841706\pi\) |
0.0688410 | + | 0.997628i | \(0.478070\pi\) | |||||||
\(614\) | 124.557 | − | 17.9086i | 0.202861 | − | 0.0291671i | ||||
\(615\) | 98.6360 | + | 341.480i | 0.160384 | + | 0.555251i | ||||
\(616\) | −1289.69 | + | 378.688i | −2.09366 | + | 0.614753i | ||||
\(617\) | 616.248 | + | 533.982i | 0.998781 | + | 0.865449i | 0.990911 | − | 0.134520i | \(-0.0429493\pi\) |
0.00787051 | + | 0.999969i | \(0.497495\pi\) | |||||||
\(618\) | −134.127 | + | 290.307i | −0.217034 | + | 0.469752i | ||||
\(619\) | 133.631 | + | 929.427i | 0.215883 | + | 1.50150i | 0.753017 | + | 0.658001i | \(0.228598\pi\) |
−0.537134 | + | 0.843497i | \(0.680493\pi\) | |||||||
\(620\) | −502.984 | + | 435.839i | −0.811265 | + | 0.702965i | ||||
\(621\) | 430.984 | − | 484.302i | 0.694016 | − | 0.779875i | ||||
\(622\) | 306.499 | − | 671.139i | 0.492763 | − | 1.07900i | ||||
\(623\) | 513.228 | − | 798.598i | 0.823800 | − | 1.28186i | ||||
\(624\) | −102.610 | − | 15.2146i | −0.164438 | − | 0.0243823i | ||||
\(625\) | −393.609 | + | 252.957i | −0.629774 | + | 0.404731i | ||||
\(626\) | 51.5957 | − | 80.2845i | 0.0824213 | − | 0.128250i | ||||
\(627\) | 464.201 | + | 540.508i | 0.740352 | + | 0.862054i | ||||
\(628\) | 455.195 | − | 133.657i | 0.724833 | − | 0.212830i | ||||
\(629\) | 880.472 | − | 762.933i | 1.39980 | − | 1.21293i | ||||
\(630\) | 152.166 | − | 995.983i | 0.241534 | − | 1.58093i | ||||
\(631\) | −219.099 | − | 64.3333i | −0.347225 | − | 0.101954i | 0.103470 | − | 0.994633i | \(-0.467006\pi\) |
−0.450695 | + | 0.892678i | \(0.648824\pi\) | |||||||
\(632\) | − | 1078.16i | − | 1.70595i | ||||||
\(633\) | −4.93454 | + | 1120.44i | −0.00779548 | + | 1.77005i | ||||
\(634\) | −231.981 | − | 68.1156i | −0.365900 | − | 0.107438i | ||||
\(635\) | 546.282 | + | 850.031i | 0.860286 | + | 1.33863i | ||||
\(636\) | 209.124 | − | 452.631i | 0.328811 | − | 0.711683i | ||||
\(637\) | −194.233 | + | 425.311i | −0.304918 | + | 0.667678i | ||||
\(638\) | 60.2581 | + | 93.7634i | 0.0944484 | + | 0.146965i | ||||
\(639\) | −273.259 | + | 901.193i | −0.427635 | + | 1.41032i | ||||
\(640\) | −204.870 | −0.320110 | ||||||||
\(641\) | 383.963i | 0.599006i | 0.954095 | + | 0.299503i | \(0.0968208\pi\) | ||||
−0.954095 | + | 0.299503i | \(0.903179\pi\) | |||||||
\(642\) | −186.245 | + | 624.112i | −0.290102 | + | 0.972137i | ||||
\(643\) | −153.632 | + | 1068.54i | −0.238931 | + | 1.66180i | 0.418449 | + | 0.908240i | \(0.362574\pi\) |
−0.657380 | + | 0.753559i | \(0.728335\pi\) | |||||||
\(644\) | 368.388 | − | 319.210i | 0.572032 | − | 0.495668i | ||||
\(645\) | 863.075 | − | 249.298i | 1.33810 | − | 0.386509i | ||||
\(646\) | −404.969 | − | 467.359i | −0.626887 | − | 0.723467i | ||||
\(647\) | 36.6260 | − | 56.9912i | 0.0566090 | − | 0.0880853i | −0.811795 | − | 0.583942i | \(-0.801510\pi\) |
0.868404 | + | 0.495857i | \(0.165146\pi\) | |||||||
\(648\) | 363.171 | + | 587.612i | 0.560448 | + | 0.906808i | ||||
\(649\) | −78.3995 | + | 545.280i | −0.120800 | + | 0.840185i | ||||
\(650\) | −179.871 | + | 279.885i | −0.276725 | + | 0.430592i | ||||
\(651\) | 1321.65 | + | 610.626i | 2.03019 | + | 0.937982i | ||||
\(652\) | 76.2414 | − | 87.9873i | 0.116935 | − | 0.134950i | ||||
\(653\) | −130.957 | + | 113.475i | −0.200546 | + | 0.173774i | −0.749344 | − | 0.662181i | \(-0.769631\pi\) |
0.548798 | + | 0.835955i | \(0.315086\pi\) | |||||||
\(654\) | −10.4877 | − | 75.2965i | −0.0160363 | − | 0.115132i | ||||
\(655\) | −170.954 | + | 374.338i | −0.260999 | + | 0.571508i | ||||
\(656\) | 54.3499 | + | 47.0944i | 0.0828504 | + | 0.0717903i | ||||
\(657\) | −87.1342 | + | 24.7534i | −0.132624 | + | 0.0376764i | ||||
\(658\) | 121.911 | − | 35.7964i | 0.185275 | − | 0.0544018i | ||||
\(659\) | −923.909 | + | 132.838i | −1.40199 | + | 0.201575i | −0.801469 | − | 0.598037i | \(-0.795948\pi\) |
−0.600517 | + | 0.799612i | \(0.705039\pi\) | |||||||
\(660\) | −348.174 | − | 547.051i | −0.527536 | − | 0.828865i | ||||
\(661\) | −200.280 | − | 438.552i | −0.302995 | − | 0.663467i | 0.695487 | − | 0.718539i | \(-0.255189\pi\) |
−0.998482 | + | 0.0550713i | \(0.982461\pi\) | |||||||
\(662\) | −190.416 | + | 648.497i | −0.287637 | + | 0.979603i | ||||
\(663\) | −257.746 | − | 571.028i | −0.388758 | − | 0.861278i | ||||
\(664\) | 92.6677 | − | 644.518i | 0.139560 | − | 0.970660i | ||||
\(665\) | −1218.77 | + | 175.233i | −1.83274 | + | 0.263509i | ||||
\(666\) | −414.788 | − | 365.862i | −0.622805 | − | 0.549343i | ||||
\(667\) | −104.266 | − | 67.0075i | −0.156320 | − | 0.100461i | ||||
\(668\) | 103.313 | − | 47.1816i | 0.154661 | − | 0.0706311i | ||||
\(669\) | 4.38216 | − | 995.017i | 0.00655031 | − | 1.48732i | ||||
\(670\) | 259.288 | + | 666.553i | 0.386997 | + | 0.994855i | ||||
\(671\) | − | 451.930i | − | 0.673517i | ||||||
\(672\) | 357.673 | + | 792.411i | 0.532251 | + | 1.17918i | ||||
\(673\) | 738.249 | + | 474.444i | 1.09695 | + | 0.704969i | 0.958412 | − | 0.285388i | \(-0.0921224\pi\) |
0.138541 | + | 0.990357i | \(0.455759\pi\) | |||||||
\(674\) | 59.3535 | + | 51.4301i | 0.0880616 | + | 0.0763058i | ||||
\(675\) | 808.621 | − | 105.378i | 1.19796 | − | 0.156115i | ||||
\(676\) | 30.3628 | − | 211.178i | 0.0449153 | − | 0.312393i | ||||
\(677\) | 1041.98 | − | 475.859i | 1.53912 | − | 0.702893i | 0.548077 | − | 0.836428i | \(-0.315360\pi\) |
0.991044 | + | 0.133535i | \(0.0426328\pi\) | |||||||
\(678\) | 100.279 | − | 336.038i | 0.147904 | − | 0.495631i | ||||
\(679\) | 50.8439 | + | 111.333i | 0.0748805 | + | 0.163965i | ||||
\(680\) | 933.061 | + | 1451.87i | 1.37215 | + | 2.13510i | ||||
\(681\) | −30.4456 | − | 218.583i | −0.0447072 | − | 0.320974i | ||||
\(682\) | −958.725 | + | 281.507i | −1.40576 | + | 0.412767i | ||||
\(683\) | −20.4895 | − | 69.7807i | −0.0299992 | − | 0.102168i | 0.943133 | − | 0.332417i | \(-0.107864\pi\) |
−0.973132 | + | 0.230249i | \(0.926046\pi\) | |||||||
\(684\) | 182.115 | − | 206.469i | 0.266250 | − | 0.301855i | ||||
\(685\) | 25.0875 | − | 54.9339i | 0.0366241 | − | 0.0801955i | ||||
\(686\) | −178.710 | + | 25.6946i | −0.260510 | + | 0.0374557i | ||||
\(687\) | 137.798 | − | 118.344i | 0.200579 | − | 0.172262i | ||||
\(688\) | 119.029 | − | 137.367i | 0.173007 | − | 0.199661i | ||||
\(689\) | 598.803 | + | 273.464i | 0.869090 | + | 0.396900i | ||||
\(690\) | −645.037 | − | 418.566i | −0.934836 | − | 0.606617i | ||||
\(691\) | −67.3736 | + | 468.594i | −0.0975017 | + | 0.678139i | 0.881184 | + | 0.472774i | \(0.156747\pi\) |
−0.978685 | + | 0.205365i | \(0.934162\pi\) | |||||||
\(692\) | −192.004 | − | 298.764i | −0.277463 | − | 0.431740i | ||||
\(693\) | −777.382 | + | 1186.52i | −1.12176 | + | 1.71215i | ||||
\(694\) | −117.412 | − | 135.501i | −0.169182 | − | 0.195246i | ||||
\(695\) | 57.8710 | + | 197.091i | 0.0832677 | + | 0.283584i | ||||
\(696\) | 100.186 | − | 86.0419i | 0.143945 | − | 0.123623i | ||||
\(697\) | −61.8135 | + | 429.923i | −0.0886851 | + | 0.616819i | ||||
\(698\) | −40.4031 | + | 137.600i | −0.0578841 | + | 0.197135i | ||||
\(699\) | 93.3068 | + | 0.410933i | 0.133486 | + | 0.000587887i | ||||
\(700\) | 613.130 | 0.875899 | ||||||||
\(701\) | 106.074 | − | 361.255i | 0.151318 | − | 0.515343i | −0.848588 | − | 0.529055i | \(-0.822547\pi\) |
0.999906 | + | 0.0137120i | \(0.00436480\pi\) | |||||||
\(702\) | −252.313 | + | 157.481i | −0.359420 | + | 0.224331i | ||||
\(703\) | −280.789 | + | 614.841i | −0.399415 | + | 0.874597i | ||||
\(704\) | −789.364 | − | 360.490i | −1.12126 | − | 0.512060i | ||||
\(705\) | 100.920 | + | 158.566i | 0.143149 | + | 0.224916i | ||||
\(706\) | −765.718 | − | 224.835i | −1.08459 | − | 0.318463i | ||||
\(707\) | − | 596.259i | − | 0.843365i | ||||||
\(708\) | 212.866 | + | 0.937484i | 0.300658 | + | 0.00132413i | ||||
\(709\) | −337.586 | − | 99.1243i | −0.476144 | − | 0.139809i | 0.0348501 | − | 0.999393i | \(-0.488905\pi\) |
−0.510995 | + | 0.859584i | \(0.670723\pi\) | |||||||
\(710\) | 1105.58 | + | 158.958i | 1.55715 | + | 0.223885i | ||||
\(711\) | −737.502 | − | 866.426i | −1.03727 | − | 1.21860i | ||||
\(712\) | 740.691 | − | 217.487i | 1.04030 | − | 0.305459i | ||||
\(713\) | 839.727 | − | 727.627i | 1.17774 | − | 1.02052i | ||||
\(714\) | 670.194 | − | 1032.81i | 0.938647 | − | 1.44652i | ||||
\(715\) | 720.221 | − | 462.858i | 1.00730 | − | 0.647354i | ||||
\(716\) | 112.422 | + | 16.1639i | 0.157014 | + | 0.0225753i | ||||
\(717\) | −12.0329 | − | 7.80819i | −0.0167823 | − | 0.0108901i | ||||
\(718\) | −112.698 | + | 246.773i | −0.156960 | + | 0.343695i | ||||
\(719\) | −945.066 | − | 818.905i | −1.31442 | − | 1.13895i | −0.980537 | − | 0.196334i | \(-0.937096\pi\) |
−0.333881 | − | 0.942615i | \(-0.608358\pi\) | |||||||
\(720\) | 229.635 | − | 195.465i | 0.318937 | − | 0.271479i | ||||
\(721\) | 110.734 | + | 770.172i | 0.153584 | + | 1.06820i | ||||
\(722\) | −145.433 | − | 66.4170i | −0.201431 | − | 0.0919903i | ||||
\(723\) | −259.773 | − | 227.105i | −0.359299 | − | 0.314115i | ||||
\(724\) | −412.931 | + | 121.247i | −0.570346 | + | 0.167469i | ||||
\(725\) | −43.9213 | − | 149.582i | −0.0605812 | − | 0.206321i | ||||
\(726\) | −62.3554 | − | 447.679i | −0.0858890 | − | 0.616637i | ||||
\(727\) | 254.589 | − | 163.615i | 0.350191 | − | 0.225054i | −0.353705 | − | 0.935357i | \(-0.615078\pi\) |
0.703896 | + | 0.710303i | \(0.251442\pi\) | |||||||
\(728\) | −623.762 | + | 284.863i | −0.856816 | + | 0.391295i | ||||
\(729\) | 693.800 | + | 223.792i | 0.951714 | + | 0.306985i | ||||
\(730\) | 44.6313 | + | 97.7289i | 0.0611387 | + | 0.133875i | ||||
\(731\) | 1086.61 | + | 156.231i | 1.48647 | + | 0.213722i | ||||
\(732\) | −172.960 | + | 24.0909i | −0.236284 | + | 0.0329111i | ||||
\(733\) | 81.7077 | − | 94.2957i | 0.111470 | − | 0.128644i | −0.697272 | − | 0.716806i | \(-0.745603\pi\) |
0.808743 | + | 0.588163i | \(0.200149\pi\) | |||||||
\(734\) | −44.1454 | + | 68.6916i | −0.0601436 | + | 0.0935853i | ||||
\(735\) | −559.209 | − | 1238.91i | −0.760829 | − | 1.68559i | ||||
\(736\) | 663.509 | 0.901507 | ||||||||
\(737\) | 57.7789 | − | 1005.27i | 0.0783974 | − | 1.36401i | ||||
\(738\) | 206.192 | + | 1.81622i | 0.279393 | + | 0.00246100i | ||||
\(739\) | 222.087 | + | 486.303i | 0.300524 | + | 0.658055i | 0.998301 | − | 0.0582593i | \(-0.0185550\pi\) |
−0.697778 | + | 0.716314i | \(0.745828\pi\) | |||||||
\(740\) | 332.591 | − | 517.521i | 0.449447 | − | 0.699353i | ||||
\(741\) | 273.650 | + | 239.237i | 0.369299 | + | 0.322858i | ||||
\(742\) | 184.109 | + | 1280.51i | 0.248125 | + | 1.72575i | ||||
\(743\) | −451.168 | − | 64.8681i | −0.607224 | − | 0.0873057i | −0.168158 | − | 0.985760i | \(-0.553782\pi\) |
−0.439067 | + | 0.898454i | \(0.644691\pi\) | |||||||
\(744\) | 487.072 | + | 1079.09i | 0.654667 | + | 1.45039i | ||||
\(745\) | −801.358 | − | 235.300i | −1.07565 | − | 0.315839i | ||||
\(746\) | −402.096 | + | 183.631i | −0.539003 | + | 0.246154i | ||||
\(747\) | −366.406 | − | 581.334i | −0.490503 | − | 0.778225i | ||||
\(748\) | −112.770 | − | 784.336i | −0.150763 | − | 1.04858i | ||||
\(749\) | 446.462 | + | 1520.51i | 0.596078 | + | 2.03005i | ||||
\(750\) | −46.2309 | − | 160.052i | −0.0616412 | − | 0.213403i | ||||
\(751\) | 39.8024 | − | 45.9344i | 0.0529992 | − | 0.0611644i | −0.728631 | − | 0.684907i | \(-0.759843\pi\) |
0.781630 | + | 0.623742i | \(0.214388\pi\) | |||||||
\(752\) | 34.5923 | + | 15.7978i | 0.0460004 | + | 0.0210077i | ||||
\(753\) | −111.422 | − | 799.954i | −0.147971 | − | 1.06236i | ||||
\(754\) | 37.2361 | + | 42.9727i | 0.0493847 | + | 0.0569930i | ||||
\(755\) | 382.291 | + | 331.257i | 0.506345 | + | 0.438751i | ||||
\(756\) | 495.538 | + | 234.266i | 0.655474 | + | 0.309876i | ||||
\(757\) | −317.102 | − | 203.789i | −0.418893 | − | 0.269206i | 0.314170 | − | 0.949367i | \(-0.398274\pi\) |
−0.733063 | + | 0.680161i | \(0.761910\pi\) | |||||||
\(758\) | 926.652 | + | 133.232i | 1.22250 | + | 0.175768i | ||||
\(759\) | 581.272 | + | 913.296i | 0.765839 | + | 1.20329i | ||||
\(760\) | −842.341 | − | 541.340i | −1.10834 | − | 0.712289i | ||||
\(761\) | −692.346 | + | 599.921i | −0.909784 | + | 0.788332i | −0.977841 | − | 0.209349i | \(-0.932865\pi\) |
0.0680571 | + | 0.997681i | \(0.478320\pi\) | |||||||
\(762\) | 563.157 | − | 162.667i | 0.739051 | − | 0.213474i | ||||
\(763\) | −121.131 | − | 139.793i | −0.158757 | − | 0.183215i | ||||
\(764\) | −351.512 | − | 50.5398i | −0.460094 | − | 0.0661515i | ||||
\(765\) | 1742.96 | + | 528.499i | 2.27838 | + | 0.690848i | ||||
\(766\) | 410.080 | 0.535352 | ||||||||
\(767\) | 281.042i | 0.366418i | ||||||||
\(768\) | −232.123 | + | 777.848i | −0.302243 | + | 1.01282i | ||||
\(769\) | 259.987 | − | 167.083i | 0.338084 | − | 0.217273i | −0.360572 | − | 0.932732i | \(-0.617418\pi\) |
0.698656 | + | 0.715458i | \(0.253782\pi\) | |||||||
\(770\) | 1530.42 | + | 698.921i | 1.98756 | + | 0.907690i | ||||
\(771\) | 23.4758 | − | 50.8114i | 0.0304485 | − | 0.0659033i | ||||
\(772\) | 421.965 | − | 271.180i | 0.546587 | − | 0.351270i | ||||
\(773\) | 45.8960 | − | 156.307i | 0.0593739 | − | 0.202209i | −0.924464 | − | 0.381269i | \(-0.875487\pi\) |
0.983838 | + | 0.179060i | \(0.0573055\pi\) | |||||||
\(774\) | 4.59041 | − | 521.142i | 0.00593077 | − | 0.673310i | ||||
\(775\) | 1397.60 | 1.80336 | ||||||||
\(776\) | −28.0406 | + | 95.4976i | −0.0361348 | + | 0.123064i | ||||
\(777\) | −1331.16 | − | 197.380i | −1.71321 | − | 0.254028i | ||||
\(778\) | −385.904 | − | 445.357i | −0.496021 | − | 0.572439i | ||||
\(779\) | −70.9954 | − | 241.788i | −0.0911366 | − | 0.310383i | ||||
\(780\) | −215.535 | − | 250.966i | −0.276327 | − | 0.321751i | ||||
\(781\) | −1322.90 | − | 850.178i | −1.69386 | − | 1.08858i | ||||
\(782\) | −508.006 | − | 790.473i | −0.649625 | − | 1.01084i | ||||
\(783\) | 21.6550 | − | 137.676i | 0.0276565 | − | 0.175831i | ||||
\(784\) | −231.359 | − | 148.685i | −0.295101 | − | 0.189650i | ||||
\(785\) | −1656.33 | − | 756.421i | −2.10998 | − | 0.963594i | ||||
\(786\) | 179.736 | + | 157.133i | 0.228671 | + | 0.199915i | ||||
\(787\) | 631.503 | + | 728.793i | 0.802418 | + | 0.926040i | 0.998511 | − | 0.0545453i | \(-0.0173709\pi\) |
−0.196093 | + | 0.980585i | \(0.562825\pi\) | |||||||
\(788\) | −19.0513 | + | 2.73916i | −0.0241768 | + | 0.00347609i | ||||
\(789\) | 301.701 | − | 653.007i | 0.382384 | − | 0.827639i | ||||
\(790\) | −883.756 | + | 1019.91i | −1.11868 | + | 1.29102i | ||||
\(791\) | −240.387 | − | 818.682i | −0.303902 | − | 1.03500i | ||||
\(792\) | −1109.61 | + | 315.223i | −1.40103 | + | 0.398009i | ||||
\(793\) | −32.8118 | − | 228.211i | −0.0413768 | − | 0.287782i | ||||
\(794\) | −44.9976 | − | 70.0176i | −0.0566720 | − | 0.0881834i | ||||
\(795\) | −1744.28 | + | 787.321i | −2.19407 | + | 0.990341i | ||||
\(796\) | −733.270 | − | 215.307i | −0.921193 | − | 0.270487i | ||||
\(797\) | 407.671 | − | 186.177i | 0.511507 | − | 0.233597i | −0.142904 | − | 0.989737i | \(-0.545644\pi\) |
0.654411 | + | 0.756139i | \(0.272917\pi\) | |||||||
\(798\) | −104.770 | + | 706.589i | −0.131291 | + | 0.885450i | ||||
\(799\) | 32.6872 | + | 227.344i | 0.0409101 | + | 0.284536i | ||||
\(800\) | 630.738 | + | 546.538i | 0.788423 | + | 0.683172i | ||||
\(801\) | 446.463 | − | 681.438i | 0.557382 | − | 0.850734i | ||||
\(802\) | −302.302 | − | 661.950i | −0.376935 | − | 0.825374i | ||||
\(803\) | − | 151.260i | − | 0.188369i | ||||||
\(804\) | −387.813 | + | 31.4751i | −0.482355 | + | 0.0391482i | ||||
\(805\) | −1870.91 | −2.32412 | ||||||||
\(806\) | −463.689 | + | 211.760i | −0.575296 | + | 0.262729i | ||||
\(807\) | −799.987 | − | 519.113i | −0.991310 | − | 0.643263i | ||||
\(808\) | 317.525 | − | 366.444i | 0.392977 | − | 0.453520i | ||||
\(809\) | 331.538 | − | 47.6679i | 0.409812 | − | 0.0589221i | 0.0656739 | − | 0.997841i | \(-0.479080\pi\) |
0.344138 | + | 0.938919i | \(0.388171\pi\) | |||||||
\(810\) | 138.110 | − | 853.553i | 0.170507 | − | 1.05377i | ||||
\(811\) | −84.9900 | − | 186.102i | −0.104797 | − | 0.229472i | 0.849969 | − | 0.526833i | \(-0.176621\pi\) |
−0.954765 | + | 0.297361i | \(0.903894\pi\) | |||||||
\(812\) | 29.5224 | − | 100.544i | 0.0363577 | − | 0.123823i | ||||
\(813\) | −49.5454 | + | 22.3634i | −0.0609414 | + | 0.0275073i | ||||
\(814\) | 776.969 | − | 499.328i | 0.954507 | − | 0.613425i | ||||
\(815\) | −442.308 | + | 63.5942i | −0.542709 | + | 0.0780297i | ||||
\(816\) | 354.031 | − | 102.261i | 0.433861 | − | 0.125320i | ||||
\(817\) | −611.109 | + | 179.438i | −0.747992 | + | 0.219630i | ||||
\(818\) | 832.018 | + | 720.947i | 1.01714 | + | 0.881354i | ||||
\(819\) | −306.409 | + | 655.598i | −0.374126 | + | 0.800486i | ||||
\(820\) | 32.6398 | + | 227.015i | 0.0398046 | + | 0.276847i | ||||
\(821\) | −1190.84 | + | 1031.87i | −1.45047 | + | 1.25684i | −0.541039 | + | 0.840998i | \(0.681969\pi\) |
−0.909435 | + | 0.415845i | \(0.863486\pi\) | |||||||
\(822\) | −26.3761 | − | 23.0592i | −0.0320877 | − | 0.0280526i | ||||
\(823\) | 403.255 | − | 883.006i | 0.489982 | − | 1.07291i | −0.489615 | − | 0.871939i | \(-0.662863\pi\) |
0.979597 | − | 0.200973i | \(-0.0644102\pi\) | |||||||
\(824\) | −342.085 | + | 532.295i | −0.415152 | + | 0.645989i | ||||
\(825\) | −199.726 | + | 1346.99i | −0.242092 | + | 1.63271i | ||||
\(826\) | −464.628 | + | 298.598i | −0.562503 | + | 0.361499i | ||||
\(827\) | −535.446 | + | 833.170i | −0.647455 | + | 1.00746i | 0.350040 | + | 0.936735i | \(0.386168\pi\) |
−0.997496 | + | 0.0707256i | \(0.977469\pi\) | |||||||
\(828\) | 318.546 | − | 271.146i | 0.384717 | − | 0.327471i | ||||
\(829\) | 435.773 | − | 127.954i | 0.525660 | − | 0.154348i | −0.00812626 | − | 0.999967i | \(-0.502587\pi\) |
0.533787 | + | 0.845619i | \(0.320769\pi\) | |||||||
\(830\) | −615.967 | + | 533.739i | −0.742129 | + | 0.643058i | ||||
\(831\) | −415.108 | − | 61.5506i | −0.499528 | − | 0.0740681i | ||||
\(832\) | −424.778 | − | 124.726i | −0.510550 | − | 0.149911i | ||||
\(833\) | − | 1661.01i | − | 1.99401i | ||||||
\(834\) | 119.163 | + | 0.524808i | 0.142882 | + | 0.000629266i | ||||
\(835\) | −418.271 | − | 122.816i | −0.500924 | − | 0.147084i | ||||
\(836\) | 248.550 | + | 386.751i | 0.297309 | + | 0.462621i | ||||
\(837\) | 1129.56 | + | 534.000i | 1.34953 | + | 0.637993i | ||||
\(838\) | −164.343 | + | 359.860i | −0.196113 | + | 0.429427i | ||||
\(839\) | −380.257 | − | 591.691i | −0.453226 | − | 0.705233i | 0.537173 | − | 0.843472i | \(-0.319492\pi\) |
−0.990399 | + | 0.138239i | \(0.955856\pi\) | |||||||
\(840\) | 570.054 | − | 1910.26i | 0.678636 | − | 2.27412i | ||||
\(841\) | 814.356 | 0.968319 | ||||||||
\(842\) | − | 951.608i | − | 1.13018i | ||||||
\(843\) | 608.849 | + | 181.690i | 0.722240 | + | 0.215528i | ||||
\(844\) | −102.890 | + | 715.617i | −0.121908 | + | 0.847888i | ||||
\(845\) | −618.864 | + | 536.248i | −0.732383 | + | 0.634613i | ||||
\(846\) | 104.889 | − | 29.7972i | 0.123982 | − | 0.0352212i | ||||
\(847\) | −720.193 | − | 831.147i | −0.850287 | − | 0.981283i | ||||
\(848\) | −209.337 | + | 325.735i | −0.246860 | + | 0.384121i | ||||
\(849\) | 428.443 | + | 673.170i | 0.504644 | + | 0.792897i | ||||
\(850\) | 168.203 | − | 1169.88i | 0.197886 | − | 1.37633i | ||||
\(851\) | −555.256 | + | 863.996i | −0.652475 | + | 1.01527i | ||||
\(852\) | −254.856 | + | 551.614i | −0.299127 | + | 0.647435i | ||||
\(853\) | −757.042 | + | 873.673i | −0.887505 | + | 1.02424i | 0.112029 | + | 0.993705i | \(0.464265\pi\) |
−0.999534 | + | 0.0305303i | \(0.990280\pi\) | |||||||
\(854\) | 342.424 | − | 296.712i | 0.400965 | − | 0.347438i | ||||
\(855\) | −1047.22 | + | 141.164i | −1.22482 | + | 0.165104i | ||||
\(856\) | −535.333 | + | 1172.22i | −0.625389 | + | 1.36941i | ||||
\(857\) | 176.203 | + | 152.681i | 0.205605 | + | 0.178158i | 0.751576 | − | 0.659646i | \(-0.229294\pi\) |
−0.545971 | + | 0.837804i | \(0.683839\pi\) | |||||||
\(858\) | −137.826 | − | 477.157i | −0.160637 | − | 0.556126i | ||||
\(859\) | 790.388 | − | 232.079i | 0.920125 | − | 0.270173i | 0.212828 | − | 0.977090i | \(-0.431733\pi\) |
0.707297 | + | 0.706916i | \(0.249914\pi\) | |||||||
\(860\) | 573.770 | − | 82.4956i | 0.667174 | − | 0.0959252i | ||||
\(861\) | 423.253 | − | 269.382i | 0.491583 | − | 0.312871i | ||||
\(862\) | 78.3785 | + | 171.625i | 0.0909263 | + | 0.199101i | ||||
\(863\) | 81.8583 | − | 278.784i | 0.0948532 | − | 0.323040i | −0.898374 | − | 0.439232i | \(-0.855251\pi\) |
0.993227 | + | 0.116192i | \(0.0370688\pi\) | |||||||
\(864\) | 300.948 | + | 682.712i | 0.348319 | + | 0.790176i | ||||
\(865\) | −193.989 | + | 1349.22i | −0.224265 | + | 1.55980i | ||||
\(866\) | −801.516 | + | 115.241i | −0.925538 | + | 0.133072i | ||||
\(867\) | 1022.86 | + | 894.233i | 1.17977 | + | 1.03141i | ||||
\(868\) | 790.292 | + | 507.890i | 0.910474 | + | 0.585126i | ||||
\(869\) | 1728.29 | − | 789.286i | 1.98883 | − | 0.908269i | ||||
\(870\) | −165.301 | − | 0.728003i | −0.190001 | − | 0.000836785i | ||||
\(871\) | −43.8101 | − | 511.829i | −0.0502986 | − | 0.587633i | ||||
\(872\) | − | 150.419i | − | 0.172499i | ||||||
\(873\) | 42.7902 | + | 95.9245i | 0.0490151 | + | 0.109879i | ||||
\(874\) | 458.614 | + | 294.733i | 0.524730 | + | 0.337223i | ||||
\(875\) | −306.339 | − | 265.444i | −0.350101 | − | 0.303364i | ||||
\(876\) | −57.8896 | + | 8.06321i | −0.0660840 | + | 0.00920458i | ||||
\(877\) | −61.0104 | + | 424.337i | −0.0695672 | + | 0.483850i | 0.925018 | + | 0.379924i | \(0.124050\pi\) |
−0.994585 | + | 0.103927i | \(0.966859\pi\) | |||||||
\(878\) | −719.355 | + | 328.519i | −0.819311 | + | 0.374167i | ||||
\(879\) | 221.662 | + | 66.1475i | 0.252175 | + | 0.0752532i | ||||
\(880\) | 209.190 | + | 458.062i | 0.237716 | + | 0.520525i | ||||
\(881\) | −284.181 | − | 442.194i | −0.322566 | − | 0.501922i | 0.641665 | − | 0.766985i | \(-0.278244\pi\) |
−0.964231 | + | 0.265062i | \(0.914607\pi\) | |||||||
\(882\) | −781.480 | + | 105.343i | −0.886031 | + | 0.119436i | ||||
\(883\) | 678.642 | − | 199.267i | 0.768564 | − | 0.225671i | 0.126132 | − | 0.992013i | \(-0.459744\pi\) |
0.642432 | + | 0.766343i | \(0.277926\pi\) | |||||||
\(884\) | −113.891 | − | 387.879i | −0.128836 | − | 0.438777i | ||||
\(885\) | −615.105 | − | 537.753i | −0.695034 | − | 0.607630i | ||||
\(886\) | −198.636 | + | 434.953i | −0.224194 | + | 0.490917i | ||||
\(887\) | −467.341 | + | 67.1935i | −0.526878 | + | 0.0757537i | −0.400621 | − | 0.916244i | \(-0.631206\pi\) |
−0.126257 | + | 0.991998i | \(0.540296\pi\) | |||||||
\(888\) | −712.985 | − | 830.188i | −0.802911 | − | 0.934896i | ||||
\(889\) | 933.987 | − | 1077.88i | 1.05060 | − | 1.21246i | ||||
\(890\) | −878.947 | − | 401.402i | −0.987581 | − | 0.451013i | ||||
\(891\) | −676.080 | + | 1012.34i | −0.758788 | + | 1.13618i | ||||
\(892\) | 91.3726 | − | 635.511i | 0.102436 | − | 0.712456i | ||||
\(893\) | −72.0436 | − | 112.102i | −0.0806760 | − | 0.125534i | ||||
\(894\) | −263.741 | + | 406.443i | −0.295013 | + | 0.454634i | ||||
\(895\) | −285.477 | − | 329.457i | −0.318968 | − | 0.368109i | ||||
\(896\) | 81.4704 | + | 277.463i | 0.0909268 | + | 0.309668i | ||||
\(897\) | 359.834 | + | 418.984i | 0.401152 | + | 0.467095i | ||||
\(898\) | 23.2661 | − | 161.819i | 0.0259088 | − | 0.180199i | ||||
\(899\) | 67.2952 | − | 229.186i | 0.0748556 | − | 0.254935i | ||||
\(900\) | 526.158 | + | 4.63460i | 0.584620 | + | 0.00514955i | ||||
\(901\) | −2338.57 | −2.59553 | ||||||||
\(902\) | −97.0084 | + | 330.380i | −0.107548 | + | 0.366275i | ||||
\(903\) | −680.851 | − | 1069.75i | −0.753987 | − | 1.18467i | ||||
\(904\) | 288.237 | − | 631.152i | 0.318847 | − | 0.698176i | ||||
\(905\) | 1502.54 | + | 686.188i | 1.66027 | + | 0.758219i | ||||
\(906\) | 247.565 | − | 157.564i | 0.273250 | − | 0.173912i | ||||
\(907\) | −1293.66 | − | 379.852i | −1.42630 | − | 0.418801i | −0.524672 | − | 0.851304i | \(-0.675812\pi\) |
−0.901632 | + | 0.432504i | \(0.857630\pi\) | |||||||
\(908\) | − | 142.403i | − | 0.156832i | ||||||
\(909\) | 4.50708 | − | 511.680i | 0.00495828 | − | 0.562905i | ||||
\(910\) | 823.562 | + | 241.820i | 0.905013 | + | 0.265736i | ||||
\(911\) | 1082.67 | + | 155.664i | 1.18844 | + | 0.170872i | 0.708035 | − | 0.706177i | \(-0.249582\pi\) |
0.480402 | + | 0.877048i | \(0.340491\pi\) | |||||||
\(912\) | −162.192 | + | 139.294i | −0.177842 | + | 0.152735i | ||||
\(913\) | 1101.01 | − | 323.285i | 1.20592 | − | 0.354091i | ||||
\(914\) | −434.100 | + | 376.150i | −0.474946 | + | 0.411543i | ||||
\(915\) | 562.258 | + | 364.850i | 0.614490 | + | 0.398744i | ||||
\(916\) | 98.5991 | − | 63.3658i | 0.107641 | − | 0.0691766i | ||||
\(917\) | 574.961 | + | 82.6669i | 0.627002 | + | 0.0901493i | ||||
\(918\) | 582.934 | − | 881.243i | 0.635005 | − | 0.959960i | ||||
\(919\) | −297.430 | + | 651.280i | −0.323645 | + | 0.708684i | −0.999601 | − | 0.0282586i | \(-0.991004\pi\) |
0.675956 | + | 0.736942i | \(0.263731\pi\) | |||||||
\(920\) | −1149.81 | − | 996.316i | −1.24979 | − | 1.08295i | ||||
\(921\) | 199.334 | − | 171.192i | 0.216432 | − | 0.185877i | ||||
\(922\) | 120.660 | + | 839.210i | 0.130868 | + | 0.910206i | ||||
\(923\) | −729.752 | − | 333.267i | −0.790631 | − | 0.361069i | ||||
\(924\) | −602.432 | + | 689.088i | −0.651983 | + | 0.745767i | ||||
\(925\) | −1239.51 | + | 363.953i | −1.34001 | + | 0.393463i | ||||
\(926\) | −109.232 | − | 372.009i | −0.117961 | − | 0.401738i | ||||
\(927\) | 89.2049 | + | 661.761i | 0.0962296 | + | 0.713874i | ||||
\(928\) | 119.994 | − | 77.1157i | 0.129304 | − | 0.0830988i | ||||
\(929\) | 643.658 | − | 293.949i | 0.692850 | − | 0.316414i | −0.0376846 | − | 0.999290i | \(-0.511998\pi\) |
0.730535 | + | 0.682876i | \(0.239271\pi\) | |||||||
\(930\) | 423.764 | − | 1420.04i | 0.455660 | − | 1.52693i | ||||
\(931\) | 400.327 | + | 876.593i | 0.429996 | + | 0.941561i | ||||
\(932\) | 59.5944 | + | 8.56838i | 0.0639425 | + | 0.00919354i | ||||
\(933\) | −212.531 | − | 1525.86i | −0.227794 | − | 1.63544i | ||||
\(934\) | 332.249 | − | 383.436i | 0.355727 | − | 0.410531i | ||||
\(935\) | −1644.30 | + | 2558.57i | −1.75860 | + | 2.73644i | ||||
\(936\) | −537.435 | + | 239.740i | −0.574183 | + | 0.256133i | ||||
\(937\) | 1081.80 | 1.15454 | 0.577268 | − | 0.816555i | \(-0.304119\pi\) | ||||
0.577268 | + | 0.816555i | \(0.304119\pi\) | |||||||
\(938\) | 799.624 | − | 616.229i | 0.852478 | − | 0.656961i | ||||
\(939\) | 0.877606 | − | 199.270i | 0.000934618 | − | 0.212215i | ||||
\(940\) | 50.3817 | + | 110.321i | 0.0535975 | + | 0.117362i | ||||
\(941\) | −273.818 | + | 426.069i | −0.290986 | + | 0.452783i | −0.955712 | − | 0.294304i | \(-0.904912\pi\) |
0.664726 | + | 0.747088i | \(0.268548\pi\) | |||||||
\(942\) | −695.266 | + | 795.276i | −0.738074 | + | 0.844242i | ||||
\(943\) | −54.4917 | − | 378.998i | −0.0577855 | − | 0.401907i | ||||
\(944\) | −163.624 | − | 23.5256i | −0.173331 | − | 0.0249212i | ||||
\(945\) | −848.589 | − | 1925.06i | −0.897978 | − | 2.03710i | ||||
\(946\) | 835.022 | + | 245.185i | 0.882688 | + | 0.259180i | ||||
\(947\) | −1020.05 | + | 465.841i | −1.07714 | + | 0.491913i | −0.873345 | − | 0.487101i | \(-0.838054\pi\) |
−0.203793 | + | 0.979014i | \(0.565327\pi\) | |||||||
\(948\) | −394.201 | − | 619.369i | −0.415824 | − | 0.653343i | ||||
\(949\) | −10.9821 | − | 76.3820i | −0.0115723 | − | 0.0804868i | ||||
\(950\) | 193.189 | + | 657.940i | 0.203356 | + | 0.692568i | ||||
\(951\) | −485.009 | + | 140.094i | −0.509999 | + | 0.147313i | ||||
\(952\) | 1595.27 | − | 1841.04i | 1.67570 | − | 1.93386i | ||||
\(953\) | 64.9087 | + | 29.6428i | 0.0681099 | + | 0.0311047i | 0.449179 | − | 0.893442i | \(-0.351717\pi\) |
−0.381069 | + | 0.924547i | \(0.624444\pi\) | |||||||
\(954\) | 148.314 | + | 1100.26i | 0.155466 | + | 1.15331i | ||||
\(955\) | 892.602 | + | 1030.12i | 0.934662 | + | 1.07866i | ||||
\(956\) | −6.99501 | − | 6.06121i | −0.00731696 | − | 0.00634018i | ||||
\(957\) | 211.269 | + | 97.6100i | 0.220761 | + | 0.101996i | ||||
\(958\) | 298.030 | + | 191.532i | 0.311096 | + | 0.199929i | ||||
\(959\) | −84.3754 | − | 12.1313i | −0.0879827 | − | 0.0126500i | ||||
\(960\) | 1085.76 | − | 691.039i | 1.13100 | − | 0.719832i | ||||
\(961\) | 992.994 | + | 638.159i | 1.03329 | + | 0.664057i | ||||
\(962\) | 356.093 | − | 308.556i | 0.370159 | − | 0.320745i | ||||
\(963\) | 371.639 | + | 1308.20i | 0.385918 | + | 1.35847i | ||||
\(964\) | −145.801 | − | 168.263i | −0.151246 | − | 0.174547i | ||||
\(965\) | −1905.60 | − | 273.984i | −1.97472 | − | 0.283921i | ||||
\(966\) | −310.367 | + | 1040.05i | −0.321291 | + | 1.07665i | ||||
\(967\) | −340.837 | −0.352468 | −0.176234 | − | 0.984348i | \(-0.556392\pi\) | ||||
−0.176234 | + | 0.984348i | \(0.556392\pi\) | |||||||
\(968\) | − | 894.323i | − | 0.923887i | ||||||
\(969\) | −1237.34 | − | 369.244i | −1.27693 | − | 0.381056i | ||||
\(970\) | 104.804 | − | 67.3536i | 0.108046 | − | 0.0694367i | ||||
\(971\) | 713.624 | + | 325.901i | 0.734937 | + | 0.335634i | 0.747478 | − | 0.664287i | \(-0.231265\pi\) |
−0.0125409 | + | 0.999921i | \(0.503992\pi\) | |||||||
\(972\) | 423.476 | + | 204.781i | 0.435675 | + | 0.210680i | ||||
\(973\) | 243.913 | − | 156.753i | 0.250681 | − | 0.161103i | ||||
\(974\) | 388.565 | − | 1323.33i | 0.398937 | − | 1.35865i | ||||
\(975\) | −3.05948 | + | 694.688i | −0.00313793 | + | 0.712501i | ||||
\(976\) | 135.612 | 0.138947 | ||||||||
\(977\) | 163.454 | − | 556.674i | 0.167302 | − | 0.569779i | −0.832572 | − | 0.553917i | \(-0.813133\pi\) |
0.999874 | − | 0.0158621i | \(-0.00504927\pi\) | |||||||
\(978\) | −38.0224 | + | 256.430i | −0.0388777 | + | 0.262198i | ||||
\(979\) | 890.870 | + | 1028.12i | 0.909980 | + | 1.05017i | ||||
\(980\) | −247.100 | − | 841.546i | −0.252143 | − | 0.858720i | ||||
\(981\) | −102.892 | − | 120.879i | −0.104885 | − | 0.123220i | ||||
\(982\) | −773.697 | − | 497.225i | −0.787879 | − | 0.506339i | ||||
\(983\) | −855.602 | − | 1331.34i | −0.870399 | − | 1.35437i | −0.934329 | − | 0.356413i | \(-0.884000\pi\) |
0.0639296 | − | 0.997954i | \(-0.479637\pi\) | |||||||
\(984\) | 403.573 | + | 59.8403i | 0.410135 | + | 0.0608133i | ||||
\(985\) | 62.1470 | + | 39.9395i | 0.0630934 | + | 0.0405477i | ||||
\(986\) | −183.744 | − | 83.9130i | −0.186353 | − | 0.0851045i | ||||
\(987\) | 174.618 | − | 199.736i | 0.176918 | − | 0.202367i | ||||
\(988\) | 153.590 | + | 177.252i | 0.155455 | + | 0.179405i | ||||
\(989\) | −957.902 | + | 137.726i | −0.968556 | + | 0.139257i | ||||
\(990\) | 1308.05 | + | 611.348i | 1.32126 | + | 0.617523i | ||||
\(991\) | 396.990 | − | 458.151i | 0.400595 | − | 0.462311i | −0.519233 | − | 0.854633i | \(-0.673782\pi\) |
0.919828 | + | 0.392321i | \(0.128328\pi\) | |||||||
\(992\) | 360.260 | + | 1226.93i | 0.363166 | + | 1.23683i | ||||
\(993\) | 391.631 | + | 1355.83i | 0.394392 | + | 1.36539i | ||||
\(994\) | −224.371 | − | 1560.53i | −0.225725 | − | 1.56995i | ||||
\(995\) | 1585.83 | + | 2467.60i | 1.59380 | + | 2.48000i | ||||
\(996\) | −182.417 | − | 404.138i | −0.183149 | − | 0.405761i | ||||
\(997\) | 1453.88 | + | 426.898i | 1.45826 | + | 0.428183i | 0.912262 | − | 0.409607i | \(-0.134334\pi\) |
0.545994 | + | 0.837789i | \(0.316152\pi\) | |||||||
\(998\) | 1062.05 | − | 485.020i | 1.06417 | − | 0.485992i | ||||
\(999\) | −1140.85 | − | 179.444i | −1.14199 | − | 0.179624i |
(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 | 201.3.k.a.14.15 | ✓ | 440 | |
3.2 | odd | 2 | inner | 201.3.k.a.14.30 | yes | 440 | |
67.24 | even | 11 | inner | 201.3.k.a.158.30 | yes | 440 | |
201.158 | odd | 22 | inner | 201.3.k.a.158.15 | yes | 440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.3.k.a.14.15 | ✓ | 440 | 1.1 | even | 1 | trivial | |
201.3.k.a.14.30 | yes | 440 | 3.2 | odd | 2 | inner | |
201.3.k.a.158.15 | yes | 440 | 201.158 | odd | 22 | inner | |
201.3.k.a.158.30 | yes | 440 | 67.24 | even | 11 | inner |