Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [17,3,Mod(3,17)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(17, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("17.3");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 17 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 17.e (of order \(16\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.463216449413\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{16})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 12.1 | ||
Root | \(0.382683 - 0.923880i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 17.12 |
Dual form | 17.3.e.b.10.1 |
$q$-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 \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{13}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.324423 | + | 0.783227i | 0.162212 | + | 0.391614i | 0.983997 | − | 0.178183i | \(-0.0570219\pi\) |
−0.821786 | + | 0.569797i | \(0.807022\pi\) | |||||||
\(3\) | −1.35595 | + | 0.906019i | −0.451984 | + | 0.302006i | −0.760648 | − | 0.649165i | \(-0.775118\pi\) |
0.308663 | + | 0.951171i | \(0.400118\pi\) | |||||||
\(4\) | 2.32023 | − | 2.32023i | 0.580058 | − | 0.580058i | ||||
\(5\) | −6.70292 | − | 1.33329i | −1.34058 | − | 0.266659i | −0.527871 | − | 0.849324i | \(-0.677010\pi\) |
−0.812712 | + | 0.582666i | \(0.802010\pi\) | |||||||
\(6\) | −1.14952 | − | 0.768086i | −0.191587 | − | 0.128014i | ||||
\(7\) | 0.886687 | − | 0.176373i | 0.126670 | − | 0.0251962i | −0.131348 | − | 0.991336i | \(-0.541931\pi\) |
0.258018 | + | 0.966140i | \(0.416931\pi\) | |||||||
\(8\) | 5.70292 | + | 2.36223i | 0.712865 | + | 0.295278i | ||||
\(9\) | −2.42641 | + | 5.85788i | −0.269601 | + | 0.650875i | ||||
\(10\) | −1.13031 | − | 5.68246i | −0.113031 | − | 0.568246i | ||||
\(11\) | 3.73690 | − | 5.59267i | 0.339718 | − | 0.508424i | −0.621796 | − | 0.783179i | \(-0.713597\pi\) |
0.961514 | + | 0.274755i | \(0.0885967\pi\) | |||||||
\(12\) | −1.04395 | + | 5.24830i | −0.0869960 | + | 0.437359i | ||||
\(13\) | 10.5602 | + | 10.5602i | 0.812320 | + | 0.812320i | 0.984981 | − | 0.172662i | \(-0.0552367\pi\) |
−0.172662 | + | 0.984981i | \(0.555237\pi\) | |||||||
\(14\) | 0.425802 | + | 0.637258i | 0.0304144 | + | 0.0455184i | ||||
\(15\) | 10.2968 | − | 4.26509i | 0.686455 | − | 0.284339i | ||||
\(16\) | − | 7.89218i | − | 0.493261i | ||||||
\(17\) | −14.7921 | + | 8.37823i | −0.870122 | + | 0.492837i | ||||
\(18\) | −5.37523 | −0.298624 | ||||||||
\(19\) | −12.9821 | − | 31.3415i | −0.683268 | − | 1.64955i | −0.757922 | − | 0.652345i | \(-0.773785\pi\) |
0.0746542 | − | 0.997209i | \(-0.476215\pi\) | |||||||
\(20\) | −18.6459 | + | 12.4588i | −0.932294 | + | 0.622939i | ||||
\(21\) | −1.04251 | + | 1.04251i | −0.0496433 | + | 0.0496433i | ||||
\(22\) | 5.59267 | + | 1.11245i | 0.254212 | + | 0.0505659i | ||||
\(23\) | 15.4758 | + | 10.3406i | 0.672860 | + | 0.449590i | 0.844490 | − | 0.535571i | \(-0.179904\pi\) |
−0.171631 | + | 0.985161i | \(0.554904\pi\) | |||||||
\(24\) | −9.87311 | + | 1.96388i | −0.411380 | + | 0.0818285i | ||||
\(25\) | 20.0544 | + | 8.30682i | 0.802177 | + | 0.332273i | ||||
\(26\) | −4.84504 | + | 11.6970i | −0.186348 | + | 0.449883i | ||||
\(27\) | −4.88061 | − | 24.5365i | −0.180763 | − | 0.908759i | ||||
\(28\) | 1.64809 | − | 2.46655i | 0.0588605 | − | 0.0880910i | ||||
\(29\) | 4.13027 | − | 20.7643i | 0.142423 | − | 0.716009i | −0.841900 | − | 0.539634i | \(-0.818563\pi\) |
0.984323 | − | 0.176376i | \(-0.0564373\pi\) | |||||||
\(30\) | 6.68107 | + | 6.68107i | 0.222702 | + | 0.222702i | ||||
\(31\) | 21.1305 | + | 31.6240i | 0.681629 | + | 1.02013i | 0.997454 | + | 0.0713127i | \(0.0227188\pi\) |
−0.315825 | + | 0.948818i | \(0.602281\pi\) | |||||||
\(32\) | 28.9930 | − | 12.0093i | 0.906032 | − | 0.375291i | ||||
\(33\) | 10.9691i | 0.332397i | ||||||||
\(34\) | −11.3609 | − | 8.86746i | −0.334146 | − | 0.260808i | ||||
\(35\) | −6.17855 | −0.176530 | ||||||||
\(36\) | 7.96180 | + | 19.2215i | 0.221161 | + | 0.533930i | ||||
\(37\) | −33.3284 | + | 22.2693i | −0.900767 | + | 0.601873i | −0.917390 | − | 0.397988i | \(-0.869708\pi\) |
0.0166233 | + | 0.999862i | \(0.494708\pi\) | |||||||
\(38\) | 20.3359 | − | 20.3359i | 0.535154 | − | 0.535154i | ||||
\(39\) | −23.8868 | − | 4.75138i | −0.612482 | − | 0.121830i | ||||
\(40\) | −35.0766 | − | 23.4375i | −0.876916 | − | 0.585936i | ||||
\(41\) | −3.70199 | + | 0.736372i | −0.0902925 | + | 0.0179603i | −0.240030 | − | 0.970766i | \(-0.577157\pi\) |
0.149737 | + | 0.988726i | \(0.452157\pi\) | |||||||
\(42\) | −1.15474 | − | 0.478307i | −0.0274937 | − | 0.0113883i | ||||
\(43\) | −5.21542 | + | 12.5911i | −0.121289 | + | 0.292817i | −0.972849 | − | 0.231439i | \(-0.925657\pi\) |
0.851561 | + | 0.524256i | \(0.175657\pi\) | |||||||
\(44\) | −4.30581 | − | 21.6468i | −0.0978593 | − | 0.491972i | ||||
\(45\) | 24.0743 | − | 36.0297i | 0.534984 | − | 0.800661i | ||||
\(46\) | −3.07832 | + | 15.4758i | −0.0669201 | + | 0.336430i | ||||
\(47\) | −9.20504 | − | 9.20504i | −0.195852 | − | 0.195852i | 0.602367 | − | 0.798219i | \(-0.294224\pi\) |
−0.798219 | + | 0.602367i | \(0.794224\pi\) | |||||||
\(48\) | 7.15046 | + | 10.7014i | 0.148968 | + | 0.222946i | ||||
\(49\) | −44.5150 | + | 18.4387i | −0.908469 | + | 0.376300i | ||||
\(50\) | 18.4021i | 0.368042i | ||||||||
\(51\) | 12.4665 | − | 24.7624i | 0.244442 | − | 0.485537i | ||||
\(52\) | 49.0040 | 0.942385 | ||||||||
\(53\) | 0.763466 | + | 1.84317i | 0.0144050 | + | 0.0347768i | 0.930918 | − | 0.365227i | \(-0.119009\pi\) |
−0.916513 | + | 0.400004i | \(0.869009\pi\) | |||||||
\(54\) | 17.6343 | − | 11.7828i | 0.326560 | − | 0.218201i | ||||
\(55\) | −32.5048 | + | 32.5048i | −0.590996 | + | 0.590996i | ||||
\(56\) | 5.47334 | + | 1.08871i | 0.0977381 | + | 0.0194413i | ||||
\(57\) | 45.9991 | + | 30.7356i | 0.807002 | + | 0.539222i | ||||
\(58\) | 17.6031 | − | 3.50147i | 0.303502 | − | 0.0603703i | ||||
\(59\) | 31.7838 | + | 13.1653i | 0.538708 | + | 0.223140i | 0.635412 | − | 0.772173i | \(-0.280830\pi\) |
−0.0967043 | + | 0.995313i | \(0.530830\pi\) | |||||||
\(60\) | 13.9951 | − | 33.7870i | 0.233251 | − | 0.563117i | ||||
\(61\) | 6.92641 | + | 34.8214i | 0.113548 | + | 0.570843i | 0.995110 | + | 0.0987749i | \(0.0314924\pi\) |
−0.881562 | + | 0.472068i | \(0.843508\pi\) | |||||||
\(62\) | −17.9136 | + | 26.8096i | −0.288929 | + | 0.432412i | ||||
\(63\) | −1.11830 | + | 5.62206i | −0.0177507 | + | 0.0892390i | ||||
\(64\) | −3.51042 | − | 3.51042i | −0.0548503 | − | 0.0548503i | ||||
\(65\) | −56.7040 | − | 84.8636i | −0.872370 | − | 1.30559i | ||||
\(66\) | −8.59130 | + | 3.55863i | −0.130171 | + | 0.0539187i | ||||
\(67\) | − | 31.9912i | − | 0.477480i | −0.971084 | − | 0.238740i | \(-0.923266\pi\) | ||
0.971084 | − | 0.238740i | \(-0.0767344\pi\) | |||||||
\(68\) | −14.8816 | + | 53.7605i | −0.218847 | + | 0.790595i | ||||
\(69\) | −30.3532 | −0.439901 | ||||||||
\(70\) | −2.00446 | − | 4.83921i | −0.0286352 | − | 0.0691315i | ||||
\(71\) | 86.1606 | − | 57.5707i | 1.21353 | − | 0.810854i | 0.226913 | − | 0.973915i | \(-0.427137\pi\) |
0.986616 | + | 0.163061i | \(0.0521366\pi\) | |||||||
\(72\) | −27.6752 | + | 27.6752i | −0.384378 | + | 0.384378i | ||||
\(73\) | 61.7546 | + | 12.2837i | 0.845953 | + | 0.168270i | 0.598992 | − | 0.800755i | \(-0.295568\pi\) |
0.246961 | + | 0.969025i | \(0.420568\pi\) | |||||||
\(74\) | −28.2544 | − | 18.8790i | −0.381817 | − | 0.255122i | ||||
\(75\) | −34.7190 | + | 6.90604i | −0.462920 | + | 0.0920805i | ||||
\(76\) | −102.841 | − | 42.5982i | −1.35317 | − | 0.560502i | ||||
\(77\) | 2.32707 | − | 5.61804i | 0.0302216 | − | 0.0729615i | ||||
\(78\) | −4.02802 | − | 20.2502i | −0.0516413 | − | 0.259618i | ||||
\(79\) | −36.2984 | + | 54.3244i | −0.459474 | + | 0.687651i | −0.986788 | − | 0.162020i | \(-0.948199\pi\) |
0.527314 | + | 0.849671i | \(0.323199\pi\) | |||||||
\(80\) | −10.5226 | + | 52.9006i | −0.131532 | + | 0.661258i | ||||
\(81\) | −11.5024 | − | 11.5024i | −0.142005 | − | 0.142005i | ||||
\(82\) | −1.77776 | − | 2.66060i | −0.0216800 | − | 0.0324464i | ||||
\(83\) | −39.7149 | + | 16.4505i | −0.478493 | + | 0.198198i | −0.608876 | − | 0.793265i | \(-0.708379\pi\) |
0.130383 | + | 0.991464i | \(0.458379\pi\) | |||||||
\(84\) | 4.83773i | 0.0575920i | ||||||||
\(85\) | 110.321 | − | 36.4364i | 1.29789 | − | 0.428664i | ||||
\(86\) | −11.5537 | −0.134346 | ||||||||
\(87\) | 13.2124 | + | 31.8975i | 0.151866 | + | 0.366638i | ||||
\(88\) | 34.5224 | − | 23.0671i | 0.392300 | − | 0.262126i | ||||
\(89\) | 49.5695 | − | 49.5695i | 0.556961 | − | 0.556961i | −0.371480 | − | 0.928441i | \(-0.621150\pi\) |
0.928441 | + | 0.371480i | \(0.121150\pi\) | |||||||
\(90\) | 36.0297 | + | 7.16676i | 0.400330 | + | 0.0796307i | ||||
\(91\) | 11.2261 | + | 7.50103i | 0.123364 | + | 0.0824289i | ||||
\(92\) | 59.9000 | − | 11.9148i | 0.651086 | − | 0.129509i | ||||
\(93\) | −57.3040 | − | 23.7361i | −0.616172 | − | 0.255227i | ||||
\(94\) | 4.22331 | − | 10.1960i | 0.0449288 | − | 0.108468i | ||||
\(95\) | 45.2304 | + | 227.389i | 0.476110 | + | 2.39356i | ||||
\(96\) | −28.4325 | + | 42.5523i | −0.296172 | + | 0.443253i | ||||
\(97\) | 24.9233 | − | 125.298i | 0.256941 | − | 1.29173i | −0.609633 | − | 0.792684i | \(-0.708683\pi\) |
0.866574 | − | 0.499048i | \(-0.166317\pi\) | |||||||
\(98\) | −28.8834 | − | 28.8834i | −0.294729 | − | 0.294729i | ||||
\(99\) | 23.6939 | + | 35.4604i | 0.239332 | + | 0.358186i | ||||
\(100\) | 65.8047 | − | 27.2572i | 0.658047 | − | 0.272572i | ||||
\(101\) | − | 37.1128i | − | 0.367453i | −0.982977 | − | 0.183727i | \(-0.941184\pi\) | ||
0.982977 | − | 0.183727i | \(-0.0588162\pi\) | |||||||
\(102\) | 23.4390 | + | 1.73062i | 0.229794 | + | 0.0169669i | ||||
\(103\) | −54.9138 | −0.533144 | −0.266572 | − | 0.963815i | \(-0.585891\pi\) | ||||
−0.266572 | + | 0.963815i | \(0.585891\pi\) | |||||||
\(104\) | 35.2782 | + | 85.1691i | 0.339214 | + | 0.818934i | ||||
\(105\) | 8.37782 | − | 5.59788i | 0.0797888 | − | 0.0533132i | ||||
\(106\) | −1.19594 | + | 1.19594i | −0.0112824 | + | 0.0112824i | ||||
\(107\) | −145.657 | − | 28.9729i | −1.36128 | − | 0.270775i | −0.540173 | − | 0.841554i | \(-0.681641\pi\) |
−0.821104 | + | 0.570779i | \(0.806641\pi\) | |||||||
\(108\) | −68.2545 | − | 45.6062i | −0.631986 | − | 0.422280i | ||||
\(109\) | 23.4177 | − | 4.65808i | 0.214842 | − | 0.0427347i | −0.0864958 | − | 0.996252i | \(-0.527567\pi\) |
0.301338 | + | 0.953518i | \(0.402567\pi\) | |||||||
\(110\) | −36.0040 | − | 14.9133i | −0.327309 | − | 0.135576i | ||||
\(111\) | 25.0153 | − | 60.3923i | 0.225363 | − | 0.544075i | ||||
\(112\) | −1.39197 | − | 6.99789i | −0.0124283 | − | 0.0624812i | ||||
\(113\) | −26.9507 | + | 40.3346i | −0.238502 | + | 0.356943i | −0.931341 | − | 0.364149i | \(-0.881360\pi\) |
0.692839 | + | 0.721093i | \(0.256360\pi\) | |||||||
\(114\) | −9.14980 | + | 45.9991i | −0.0802614 | + | 0.403501i | ||||
\(115\) | −89.9458 | − | 89.9458i | −0.782137 | − | 0.782137i | ||||
\(116\) | −38.5948 | − | 57.7611i | −0.332713 | − | 0.497941i | ||||
\(117\) | −87.4834 | + | 36.2368i | −0.747721 | + | 0.309716i | ||||
\(118\) | 29.1650i | 0.247161i | ||||||||
\(119\) | −11.6382 | + | 10.0378i | −0.0978004 | + | 0.0843512i | ||||
\(120\) | 68.7971 | 0.573309 | ||||||||
\(121\) | 28.9912 | + | 69.9909i | 0.239597 | + | 0.578437i | ||||
\(122\) | −25.0260 | + | 16.7218i | −0.205131 | + | 0.137064i | ||||
\(123\) | 4.35256 | − | 4.35256i | 0.0353867 | − | 0.0353867i | ||||
\(124\) | 122.403 | + | 24.3474i | 0.987120 | + | 0.196350i | ||||
\(125\) | 18.7137 | + | 12.5041i | 0.149710 | + | 0.100033i | ||||
\(126\) | −4.76615 | + | 0.948046i | −0.0378266 | + | 0.00752418i | ||||
\(127\) | 44.5892 | + | 18.4694i | 0.351096 | + | 0.145429i | 0.551260 | − | 0.834334i | \(-0.314147\pi\) |
−0.200164 | + | 0.979762i | \(0.564147\pi\) | |||||||
\(128\) | 49.6478 | − | 119.860i | 0.387874 | − | 0.936410i | ||||
\(129\) | −4.33594 | − | 21.7982i | −0.0336119 | − | 0.168979i | ||||
\(130\) | 48.0714 | − | 71.9439i | 0.369780 | − | 0.553415i | ||||
\(131\) | 0.637092 | − | 3.20288i | 0.00486330 | − | 0.0244495i | −0.978277 | − | 0.207300i | \(-0.933532\pi\) |
0.983141 | + | 0.182850i | \(0.0585324\pi\) | |||||||
\(132\) | 25.4509 | + | 25.4509i | 0.192810 | + | 0.192810i | ||||
\(133\) | −17.0389 | − | 25.5004i | −0.128112 | − | 0.191733i | ||||
\(134\) | 25.0563 | − | 10.3787i | 0.186988 | − | 0.0774528i | ||||
\(135\) | 170.973i | 1.26647i | ||||||||
\(136\) | −104.149 | + | 12.8381i | −0.765803 | + | 0.0943981i | ||||
\(137\) | −89.9517 | −0.656581 | −0.328291 | − | 0.944577i | \(-0.606473\pi\) | ||||
−0.328291 | + | 0.944577i | \(0.606473\pi\) | |||||||
\(138\) | −9.84728 | − | 23.7734i | −0.0713571 | − | 0.172271i | ||||
\(139\) | 108.219 | − | 72.3095i | 0.778553 | − | 0.520212i | −0.101644 | − | 0.994821i | \(-0.532410\pi\) |
0.880197 | + | 0.474608i | \(0.157410\pi\) | |||||||
\(140\) | −14.3357 | + | 14.3357i | −0.102398 | + | 0.102398i | ||||
\(141\) | 20.8216 | + | 4.14166i | 0.147671 | + | 0.0293735i | ||||
\(142\) | 73.0434 | + | 48.8061i | 0.514390 | + | 0.343705i | ||||
\(143\) | 98.5217 | − | 19.5972i | 0.688963 | − | 0.137043i | ||||
\(144\) | 46.2314 | + | 19.1497i | 0.321051 | + | 0.132984i | ||||
\(145\) | −55.3697 | + | 133.674i | −0.381860 | + | 0.921892i | ||||
\(146\) | 10.4137 | + | 52.3530i | 0.0713264 | + | 0.358582i | ||||
\(147\) | 43.6544 | − | 65.3335i | 0.296969 | − | 0.444445i | ||||
\(148\) | −25.6596 | + | 129.000i | −0.173376 | + | 0.871619i | ||||
\(149\) | 149.894 | + | 149.894i | 1.00600 | + | 1.00600i | 0.999982 | + | 0.00602015i | \(0.00191628\pi\) |
0.00602015 | + | 0.999982i | \(0.498084\pi\) | |||||||
\(150\) | −16.6727 | − | 24.9524i | −0.111151 | − | 0.166349i | ||||
\(151\) | −55.2876 | + | 22.9009i | −0.366143 | + | 0.151661i | −0.558167 | − | 0.829729i | \(-0.688495\pi\) |
0.192023 | + | 0.981390i | \(0.438495\pi\) | |||||||
\(152\) | − | 209.405i | − | 1.37766i | ||||||
\(153\) | −13.1870 | − | 106.979i | −0.0861894 | − | 0.699210i | ||||
\(154\) | 5.15515 | 0.0334750 | ||||||||
\(155\) | −99.4719 | − | 240.146i | −0.641754 | − | 1.54933i | ||||
\(156\) | −66.4472 | + | 44.3986i | −0.425944 | + | 0.284606i | ||||
\(157\) | −104.330 | + | 104.330i | −0.664524 | + | 0.664524i | −0.956443 | − | 0.291919i | \(-0.905706\pi\) |
0.291919 | + | 0.956443i | \(0.405706\pi\) | |||||||
\(158\) | −54.3244 | − | 10.8058i | −0.343826 | − | 0.0683912i | ||||
\(159\) | −2.70517 | − | 1.80754i | −0.0170137 | − | 0.0113682i | ||||
\(160\) | −210.350 | + | 41.8412i | −1.31469 | + | 0.261507i | ||||
\(161\) | 15.5460 | + | 6.43935i | 0.0965588 | + | 0.0399960i | ||||
\(162\) | 5.27735 | − | 12.7406i | 0.0325762 | − | 0.0786460i | ||||
\(163\) | −63.2704 | − | 318.082i | −0.388162 | − | 1.95142i | −0.293727 | − | 0.955889i | \(-0.594896\pi\) |
−0.0944348 | − | 0.995531i | \(-0.530104\pi\) | |||||||
\(164\) | −6.88093 | + | 10.2980i | −0.0419569 | + | 0.0627929i | ||||
\(165\) | 14.6250 | − | 73.5250i | 0.0886365 | − | 0.445606i | ||||
\(166\) | −25.7689 | − | 25.7689i | −0.155234 | − | 0.155234i | ||||
\(167\) | 87.6108 | + | 131.119i | 0.524615 | + | 0.785142i | 0.995267 | − | 0.0971767i | \(-0.0309812\pi\) |
−0.470652 | + | 0.882319i | \(0.655981\pi\) | |||||||
\(168\) | −8.40798 | + | 3.48270i | −0.0500475 | + | 0.0207304i | ||||
\(169\) | 54.0337i | 0.319726i | ||||||||
\(170\) | 64.3286 | + | 74.5853i | 0.378403 | + | 0.438737i | ||||
\(171\) | 215.095 | 1.25786 | ||||||||
\(172\) | 17.1134 | + | 41.3153i | 0.0994963 | + | 0.240205i | ||||
\(173\) | −136.654 | + | 91.3096i | −0.789910 | + | 0.527801i | −0.883846 | − | 0.467777i | \(-0.845055\pi\) |
0.0939363 | + | 0.995578i | \(0.470055\pi\) | |||||||
\(174\) | −20.6966 | + | 20.6966i | −0.118946 | + | 0.118946i | ||||
\(175\) | 19.2471 | + | 3.82849i | 0.109983 | + | 0.0218771i | ||||
\(176\) | −44.1383 | − | 29.4923i | −0.250786 | − | 0.167570i | ||||
\(177\) | −55.0253 | + | 10.9452i | −0.310877 | + | 0.0618374i | ||||
\(178\) | 54.9057 | + | 22.7427i | 0.308459 | + | 0.127768i | ||||
\(179\) | −74.2691 | + | 179.301i | −0.414911 | + | 1.00168i | 0.568889 | + | 0.822414i | \(0.307373\pi\) |
−0.983800 | + | 0.179269i | \(0.942627\pi\) | |||||||
\(180\) | −27.7394 | − | 139.455i | −0.154108 | − | 0.774752i | ||||
\(181\) | 27.7497 | − | 41.5304i | 0.153313 | − | 0.229450i | −0.746860 | − | 0.664981i | \(-0.768440\pi\) |
0.900173 | + | 0.435532i | \(0.143440\pi\) | |||||||
\(182\) | −2.23301 | + | 11.2261i | −0.0122693 | + | 0.0616818i | ||||
\(183\) | −40.9408 | − | 40.9408i | −0.223720 | − | 0.223720i | ||||
\(184\) | 63.8303 | + | 95.5287i | 0.346904 | + | 0.519178i | ||||
\(185\) | 253.089 | − | 104.833i | 1.36805 | − | 0.566664i | ||||
\(186\) | − | 52.5826i | − | 0.282702i | ||||||
\(187\) | −8.41985 | + | 114.036i | −0.0450259 | + | 0.609817i | ||||
\(188\) | −42.7157 | −0.227211 | ||||||||
\(189\) | −8.65515 | − | 20.8954i | −0.0457944 | − | 0.110558i | ||||
\(190\) | −163.423 | + | 109.196i | −0.860122 | + | 0.574715i | ||||
\(191\) | 210.946 | − | 210.946i | 1.10443 | − | 1.10443i | 0.110561 | − | 0.993869i | \(-0.464735\pi\) |
0.993869 | − | 0.110561i | \(-0.0352646\pi\) | |||||||
\(192\) | 7.94047 | + | 1.57946i | 0.0413566 | + | 0.00822634i | ||||
\(193\) | 46.8606 | + | 31.3112i | 0.242801 | + | 0.162234i | 0.671017 | − | 0.741442i | \(-0.265858\pi\) |
−0.428216 | + | 0.903676i | \(0.640858\pi\) | |||||||
\(194\) | 106.223 | − | 21.1290i | 0.547539 | − | 0.108912i | ||||
\(195\) | 153.776 | + | 63.6961i | 0.788595 | + | 0.326647i | ||||
\(196\) | −60.5030 | + | 146.067i | −0.308689 | + | 0.745241i | ||||
\(197\) | 0.730502 | + | 3.67248i | 0.00370813 | + | 0.0186420i | 0.982595 | − | 0.185760i | \(-0.0594749\pi\) |
−0.978887 | + | 0.204403i | \(0.934475\pi\) | |||||||
\(198\) | −20.0867 | + | 30.0619i | −0.101448 | + | 0.151828i | ||||
\(199\) | 29.0628 | − | 146.108i | 0.146044 | − | 0.734213i | −0.836468 | − | 0.548016i | \(-0.815383\pi\) |
0.982512 | − | 0.186198i | \(-0.0596165\pi\) | |||||||
\(200\) | 94.7461 | + | 94.7461i | 0.473731 | + | 0.473731i | ||||
\(201\) | 28.9846 | + | 43.3785i | 0.144202 | + | 0.215814i | ||||
\(202\) | 29.0678 | − | 12.0403i | 0.143900 | − | 0.0596052i | ||||
\(203\) | − | 19.1399i | − | 0.0942851i | ||||||
\(204\) | −28.5293 | − | 86.3797i | −0.139849 | − | 0.423430i | ||||
\(205\) | 25.7959 | 0.125834 | ||||||||
\(206\) | −17.8153 | − | 43.0100i | −0.0864821 | − | 0.208786i | ||||
\(207\) | −98.1244 | + | 65.5647i | −0.474031 | + | 0.316737i | ||||
\(208\) | 83.3426 | − | 83.3426i | 0.400686 | − | 0.400686i | ||||
\(209\) | −223.796 | − | 44.5157i | −1.07079 | − | 0.212994i | ||||
\(210\) | 7.10237 | + | 4.74566i | 0.0338208 | + | 0.0225984i | ||||
\(211\) | −291.187 | + | 57.9207i | −1.38003 | + | 0.274506i | −0.828660 | − | 0.559752i | \(-0.810896\pi\) |
−0.551374 | + | 0.834258i | \(0.685896\pi\) | |||||||
\(212\) | 6.04800 | + | 2.50517i | 0.0285283 | + | 0.0118168i | ||||
\(213\) | −64.6696 | + | 156.126i | −0.303613 | + | 0.732987i | ||||
\(214\) | −24.5620 | − | 123.482i | −0.114776 | − | 0.577017i | ||||
\(215\) | 51.7462 | − | 77.4436i | 0.240680 | − | 0.360203i | ||||
\(216\) | 30.1270 | − | 151.459i | 0.139477 | − | 0.701197i | ||||
\(217\) | 24.3138 | + | 24.3138i | 0.112045 | + | 0.112045i | ||||
\(218\) | 11.2456 | + | 16.8302i | 0.0515853 | + | 0.0772029i | ||||
\(219\) | −94.8656 | + | 39.2946i | −0.433176 | + | 0.179428i | ||||
\(220\) | 150.837i | 0.685625i | ||||||||
\(221\) | −244.682 | − | 67.7311i | −1.10716 | − | 0.306476i | ||||
\(222\) | 55.4165 | 0.249624 | ||||||||
\(223\) | −34.4629 | − | 83.2008i | −0.154542 | − | 0.373098i | 0.827579 | − | 0.561350i | \(-0.189718\pi\) |
−0.982121 | + | 0.188252i | \(0.939718\pi\) | |||||||
\(224\) | 23.5896 | − | 15.7621i | 0.105311 | − | 0.0703665i | ||||
\(225\) | −97.3206 | + | 97.3206i | −0.432536 | + | 0.432536i | ||||
\(226\) | −40.3346 | − | 8.02305i | −0.178472 | − | 0.0355002i | ||||
\(227\) | −124.031 | − | 82.8747i | −0.546391 | − | 0.365087i | 0.251529 | − | 0.967850i | \(-0.419066\pi\) |
−0.797920 | + | 0.602763i | \(0.794066\pi\) | |||||||
\(228\) | 178.043 | − | 35.4149i | 0.780888 | − | 0.155328i | ||||
\(229\) | 126.494 | + | 52.3955i | 0.552375 | + | 0.228801i | 0.641371 | − | 0.767231i | \(-0.278366\pi\) |
−0.0889961 | + | 0.996032i | \(0.528366\pi\) | |||||||
\(230\) | 41.2675 | − | 99.6285i | 0.179424 | − | 0.433167i | ||||
\(231\) | 1.93465 | + | 9.72616i | 0.00837512 | + | 0.0421046i | ||||
\(232\) | 72.6045 | − | 108.660i | 0.312950 | − | 0.468363i | ||||
\(233\) | −69.6099 | + | 349.953i | −0.298755 | + | 1.50194i | 0.481480 | + | 0.876457i | \(0.340099\pi\) |
−0.780235 | + | 0.625486i | \(0.784901\pi\) | |||||||
\(234\) | −56.7633 | − | 56.7633i | −0.242578 | − | 0.242578i | ||||
\(235\) | 49.4276 | + | 73.9736i | 0.210330 | + | 0.314781i | ||||
\(236\) | 104.292 | − | 43.1993i | 0.441916 | − | 0.183048i | ||||
\(237\) | − | 106.548i | − | 0.449572i | ||||||
\(238\) | −11.6376 | − | 5.85890i | −0.0488974 | − | 0.0246172i | ||||
\(239\) | −398.078 | −1.66560 | −0.832800 | − | 0.553574i | \(-0.813264\pi\) | ||||
−0.832800 | + | 0.553574i | \(0.813264\pi\) | |||||||
\(240\) | −33.6608 | − | 81.2644i | −0.140253 | − | 0.338602i | ||||
\(241\) | −65.9725 | + | 44.0814i | −0.273745 | + | 0.182910i | −0.684863 | − | 0.728671i | \(-0.740138\pi\) |
0.411119 | + | 0.911582i | \(0.365138\pi\) | |||||||
\(242\) | −45.4134 | + | 45.4134i | −0.187659 | + | 0.187659i | ||||
\(243\) | 246.847 | + | 49.1008i | 1.01583 | + | 0.202061i | ||||
\(244\) | 96.8647 | + | 64.7229i | 0.396987 | + | 0.265258i | ||||
\(245\) | 322.964 | − | 64.2416i | 1.31822 | − | 0.262211i | ||||
\(246\) | 4.82112 | + | 1.99697i | 0.0195980 | + | 0.00811777i | ||||
\(247\) | 193.879 | − | 468.064i | 0.784934 | − | 1.89500i | ||||
\(248\) | 45.8024 | + | 230.264i | 0.184687 | + | 0.928485i | ||||
\(249\) | 38.9471 | − | 58.2885i | 0.156414 | − | 0.234090i | ||||
\(250\) | −3.72239 | + | 18.7137i | −0.0148896 | + | 0.0748549i | ||||
\(251\) | 320.583 | + | 320.583i | 1.27722 | + | 1.27722i | 0.942215 | + | 0.335010i | \(0.108740\pi\) |
0.335010 | + | 0.942215i | \(0.391260\pi\) | |||||||
\(252\) | 10.4498 | + | 15.6392i | 0.0414674 | + | 0.0620603i | ||||
\(253\) | 115.663 | − | 47.9091i | 0.457166 | − | 0.189364i | ||||
\(254\) | 40.9154i | 0.161084i | ||||||||
\(255\) | −116.578 | + | 149.359i | −0.457167 | + | 0.585720i | ||||
\(256\) | 90.1270 | 0.352058 | ||||||||
\(257\) | 37.6834 | + | 90.9757i | 0.146628 | + | 0.353991i | 0.980081 | − | 0.198600i | \(-0.0636393\pi\) |
−0.833453 | + | 0.552591i | \(0.813639\pi\) | |||||||
\(258\) | 15.6663 | − | 10.4679i | 0.0607221 | − | 0.0405732i | ||||
\(259\) | −25.6241 | + | 25.6241i | −0.0989349 | + | 0.0989349i | ||||
\(260\) | −328.470 | − | 65.3367i | −1.26335 | − | 0.251295i | ||||
\(261\) | 111.613 | + | 74.5773i | 0.427635 | + | 0.285737i | ||||
\(262\) | 2.71527 | − | 0.540101i | 0.0103636 | − | 0.00206145i | ||||
\(263\) | −83.1206 | − | 34.4297i | −0.316048 | − | 0.130911i | 0.219020 | − | 0.975720i | \(-0.429714\pi\) |
−0.535068 | + | 0.844809i | \(0.679714\pi\) | |||||||
\(264\) | −25.9115 | + | 62.5559i | −0.0981496 | + | 0.236954i | ||||
\(265\) | −2.65996 | − | 13.3725i | −0.0100376 | − | 0.0504624i | ||||
\(266\) | 14.4448 | − | 21.6182i | 0.0543039 | − | 0.0812716i | ||||
\(267\) | −22.3030 | + | 112.125i | −0.0835319 | + | 0.419943i | ||||
\(268\) | −74.2269 | − | 74.2269i | −0.276966 | − | 0.276966i | ||||
\(269\) | −262.976 | − | 393.571i | −0.977605 | − | 1.46309i | −0.884004 | − | 0.467480i | \(-0.845162\pi\) |
−0.0936016 | − | 0.995610i | \(-0.529838\pi\) | |||||||
\(270\) | −133.911 | + | 55.4677i | −0.495967 | + | 0.205436i | ||||
\(271\) | − | 61.4406i | − | 0.226718i | −0.993554 | − | 0.113359i | \(-0.963839\pi\) | ||
0.993554 | − | 0.113359i | \(-0.0361611\pi\) | |||||||
\(272\) | 66.1225 | + | 116.742i | 0.243097 | + | 0.429197i | ||||
\(273\) | −22.0181 | −0.0806524 | ||||||||
\(274\) | −29.1824 | − | 70.4526i | −0.106505 | − | 0.257126i | ||||
\(275\) | 121.399 | − | 81.1160i | 0.441450 | − | 0.294967i | ||||
\(276\) | −70.4265 | + | 70.4265i | −0.255168 | + | 0.255168i | ||||
\(277\) | 146.302 | + | 29.1012i | 0.528165 | + | 0.105058i | 0.451968 | − | 0.892034i | \(-0.350722\pi\) |
0.0761970 | + | 0.997093i | \(0.475722\pi\) | |||||||
\(278\) | 91.7435 | + | 61.3011i | 0.330013 | + | 0.220507i | ||||
\(279\) | −236.521 | + | 47.0470i | −0.847746 | + | 0.168627i | ||||
\(280\) | −35.2357 | − | 14.5951i | −0.125842 | − | 0.0521254i | ||||
\(281\) | −12.9932 | + | 31.3685i | −0.0462393 | + | 0.111632i | −0.945312 | − | 0.326169i | \(-0.894242\pi\) |
0.899072 | + | 0.437800i | \(0.144242\pi\) | |||||||
\(282\) | 3.51113 | + | 17.6517i | 0.0124508 | + | 0.0625945i | ||||
\(283\) | −105.039 | + | 157.202i | −0.371162 | + | 0.555484i | −0.969291 | − | 0.245916i | \(-0.920911\pi\) |
0.598129 | + | 0.801400i | \(0.295911\pi\) | |||||||
\(284\) | 66.3353 | − | 333.490i | 0.233575 | − | 1.17426i | ||||
\(285\) | −267.349 | − | 267.349i | −0.938066 | − | 0.938066i | ||||
\(286\) | 47.3118 | + | 70.8071i | 0.165426 | + | 0.247577i | ||||
\(287\) | −3.15263 | + | 1.30586i | −0.0109848 | + | 0.00455005i | ||||
\(288\) | 198.977i | 0.690893i | ||||||||
\(289\) | 148.611 | − | 247.863i | 0.514223 | − | 0.857656i | ||||
\(290\) | −122.661 | −0.422968 | ||||||||
\(291\) | 79.7275 | + | 192.479i | 0.273978 | + | 0.661441i | ||||
\(292\) | 171.786 | − | 114.784i | 0.588309 | − | 0.393095i | ||||
\(293\) | 125.147 | − | 125.147i | 0.427121 | − | 0.427121i | −0.460525 | − | 0.887647i | \(-0.652339\pi\) |
0.887647 | + | 0.460525i | \(0.152339\pi\) | |||||||
\(294\) | 65.3335 | + | 12.9956i | 0.222223 | + | 0.0442028i | ||||
\(295\) | −195.491 | − | 130.623i | −0.662681 | − | 0.442789i | ||||
\(296\) | −242.674 | + | 48.2709i | −0.819845 | + | 0.163077i | ||||
\(297\) | −155.463 | − | 64.3948i | −0.523444 | − | 0.216817i | ||||
\(298\) | −68.7721 | + | 166.031i | −0.230779 | + | 0.557149i | ||||
\(299\) | 54.2284 | + | 272.625i | 0.181366 | + | 0.911788i | ||||
\(300\) | −64.5325 | + | 96.5798i | −0.215108 | + | 0.321933i | ||||
\(301\) | −2.40371 | + | 12.0843i | −0.00798574 | + | 0.0401470i | ||||
\(302\) | −35.8732 | − | 35.8732i | −0.118785 | − | 0.118785i | ||||
\(303\) | 33.6249 | + | 50.3232i | 0.110973 | + | 0.166083i | ||||
\(304\) | −247.353 | + | 102.457i | −0.813661 | + | 0.337029i | ||||
\(305\) | − | 242.640i | − | 0.795541i | ||||||
\(306\) | 79.5108 | − | 45.0349i | 0.259839 | − | 0.147173i | ||||
\(307\) | 368.138 | 1.19914 | 0.599572 | − | 0.800320i | \(-0.295337\pi\) | ||||
0.599572 | + | 0.800320i | \(0.295337\pi\) | |||||||
\(308\) | −7.63581 | − | 18.4345i | −0.0247916 | − | 0.0598522i | ||||
\(309\) | 74.4606 | − | 49.7530i | 0.240973 | − | 0.161013i | ||||
\(310\) | 155.818 | − | 155.818i | 0.502639 | − | 0.502639i | ||||
\(311\) | 103.068 | + | 20.5015i | 0.331408 | + | 0.0659211i | 0.357990 | − | 0.933726i | \(-0.383462\pi\) |
−0.0265819 | + | 0.999647i | \(0.508462\pi\) | |||||||
\(312\) | −125.000 | − | 83.5227i | −0.400643 | − | 0.267701i | ||||
\(313\) | 425.555 | − | 84.6482i | 1.35960 | − | 0.270441i | 0.539175 | − | 0.842194i | \(-0.318736\pi\) |
0.820426 | + | 0.571752i | \(0.193736\pi\) | |||||||
\(314\) | −115.562 | − | 47.8672i | −0.368030 | − | 0.152443i | ||||
\(315\) | 14.9917 | − | 36.1932i | 0.0475927 | − | 0.114899i | ||||
\(316\) | 41.8245 | + | 210.266i | 0.132356 | + | 0.665399i | ||||
\(317\) | −291.124 | + | 435.698i | −0.918372 | + | 1.37444i | 0.00886288 | + | 0.999961i | \(0.497179\pi\) |
−0.927235 | + | 0.374480i | \(0.877821\pi\) | |||||||
\(318\) | 0.538092 | − | 2.70517i | 0.00169211 | − | 0.00850683i | ||||
\(319\) | −100.693 | − | 100.693i | −0.315653 | − | 0.315653i | ||||
\(320\) | 18.8496 | + | 28.2104i | 0.0589050 | + | 0.0881576i | ||||
\(321\) | 223.754 | − | 92.6818i | 0.697052 | − | 0.288728i | ||||
\(322\) | 14.2651i | 0.0443016i | ||||||||
\(323\) | 454.619 | + | 354.839i | 1.40749 | + | 1.09857i | ||||
\(324\) | −53.3765 | −0.164742 | ||||||||
\(325\) | 124.057 | + | 299.499i | 0.381713 | + | 0.921536i | ||||
\(326\) | 228.604 | − | 152.748i | 0.701238 | − | 0.468553i | ||||
\(327\) | −27.5331 | + | 27.5331i | −0.0841990 | + | 0.0841990i | ||||
\(328\) | −22.8516 | − | 4.54547i | −0.0696696 | − | 0.0138581i | ||||
\(329\) | −9.78551 | − | 6.53847i | −0.0297432 | − | 0.0198738i | ||||
\(330\) | 62.3315 | − | 12.3985i | 0.188883 | − | 0.0375712i | ||||
\(331\) | −325.078 | − | 134.652i | −0.982109 | − | 0.406803i | −0.166903 | − | 0.985973i | \(-0.553377\pi\) |
−0.815206 | + | 0.579171i | \(0.803377\pi\) | |||||||
\(332\) | −53.9790 | + | 130.317i | −0.162587 | + | 0.392520i | ||||
\(333\) | −49.5825 | − | 249.268i | −0.148896 | − | 0.748553i | ||||
\(334\) | −74.2728 | + | 111.157i | −0.222374 | + | 0.332806i | ||||
\(335\) | −42.6536 | + | 214.434i | −0.127324 | + | 0.640102i | ||||
\(336\) | 8.22767 | + | 8.22767i | 0.0244871 | + | 0.0244871i | ||||
\(337\) | −86.3544 | − | 129.239i | −0.256245 | − | 0.383497i | 0.680935 | − | 0.732344i | \(-0.261573\pi\) |
−0.937180 | + | 0.348846i | \(0.886573\pi\) | |||||||
\(338\) | −42.3207 | + | 17.5298i | −0.125209 | + | 0.0518633i | ||||
\(339\) | − | 79.1097i | − | 0.233362i | ||||||
\(340\) | 171.429 | − | 340.510i | 0.504202 | − | 1.00150i | ||||
\(341\) | 255.825 | 0.750221 | ||||||||
\(342\) | 69.7818 | + | 168.468i | 0.204040 | + | 0.492597i | ||||
\(343\) | −73.0519 | + | 48.8117i | −0.212979 | + | 0.142308i | ||||
\(344\) | −59.4862 | + | 59.4862i | −0.172925 | + | 0.172925i | ||||
\(345\) | 203.455 | + | 40.4697i | 0.589724 | + | 0.117303i | ||||
\(346\) | −115.850 | − | 77.4085i | −0.334827 | − | 0.223724i | ||||
\(347\) | −262.388 | + | 52.1922i | −0.756161 | + | 0.150410i | −0.558093 | − | 0.829779i | \(-0.688467\pi\) |
−0.198068 | + | 0.980188i | \(0.563467\pi\) | |||||||
\(348\) | 104.665 | + | 43.3538i | 0.300763 | + | 0.124580i | ||||
\(349\) | 75.5583 | − | 182.414i | 0.216499 | − | 0.522676i | −0.777897 | − | 0.628392i | \(-0.783713\pi\) |
0.994396 | + | 0.105716i | \(0.0337135\pi\) | |||||||
\(350\) | 3.24563 | + | 16.3169i | 0.00927324 | + | 0.0466197i | ||||
\(351\) | 207.569 | − | 310.649i | 0.591365 | − | 0.885040i | ||||
\(352\) | 41.1800 | − | 207.026i | 0.116989 | − | 0.588142i | ||||
\(353\) | −303.609 | − | 303.609i | −0.860081 | − | 0.860081i | 0.131266 | − | 0.991347i | \(-0.458096\pi\) |
−0.991347 | + | 0.131266i | \(0.958096\pi\) | |||||||
\(354\) | −26.4241 | − | 39.5464i | −0.0746443 | − | 0.111713i | ||||
\(355\) | −654.286 | + | 271.014i | −1.84306 | + | 0.763420i | ||||
\(356\) | − | 230.026i | − | 0.646139i | ||||||
\(357\) | 6.68649 | − | 24.1552i | 0.0187297 | − | 0.0676618i | ||||
\(358\) | −164.528 | −0.459576 | ||||||||
\(359\) | 21.7296 | + | 52.4599i | 0.0605281 | + | 0.146128i | 0.951250 | − | 0.308421i | \(-0.0998005\pi\) |
−0.890722 | + | 0.454549i | \(0.849801\pi\) | |||||||
\(360\) | 222.404 | − | 148.606i | 0.617789 | − | 0.412793i | ||||
\(361\) | −558.492 | + | 558.492i | −1.54707 | + | 1.54707i | ||||
\(362\) | 41.5304 | + | 8.26091i | 0.114725 | + | 0.0228202i | ||||
\(363\) | −102.724 | − | 68.6379i | −0.282986 | − | 0.189085i | ||||
\(364\) | 43.4512 | − | 8.64299i | 0.119372 | − | 0.0237445i | ||||
\(365\) | −397.558 | − | 164.674i | −1.08920 | − | 0.451161i | ||||
\(366\) | 18.7838 | − | 45.3481i | 0.0513218 | − | 0.123902i | ||||
\(367\) | 44.3636 | + | 223.031i | 0.120882 | + | 0.607714i | 0.992970 | + | 0.118365i | \(0.0377654\pi\) |
−0.872088 | + | 0.489348i | \(0.837235\pi\) | |||||||
\(368\) | 81.6097 | − | 122.138i | 0.221766 | − | 0.331896i | ||||
\(369\) | 4.66898 | − | 23.4726i | 0.0126531 | − | 0.0636113i | ||||
\(370\) | 164.216 | + | 164.216i | 0.443827 | + | 0.443827i | ||||
\(371\) | 1.00204 | + | 1.49966i | 0.00270092 | + | 0.00404221i | ||||
\(372\) | −188.032 | + | 77.8853i | −0.505462 | + | 0.209369i | ||||
\(373\) | 460.172i | 1.23370i | 0.787079 | + | 0.616852i | \(0.211592\pi\) | ||||
−0.787079 | + | 0.616852i | \(0.788408\pi\) | |||||||
\(374\) | −92.0475 | + | 30.4012i | −0.246116 | + | 0.0812866i | ||||
\(375\) | −36.7039 | −0.0978771 | ||||||||
\(376\) | −30.7512 | − | 74.2400i | −0.0817851 | − | 0.197447i | ||||
\(377\) | 262.890 | − | 175.658i | 0.697322 | − | 0.465935i | ||||
\(378\) | 13.5579 | − | 13.5579i | 0.0358675 | − | 0.0358675i | ||||
\(379\) | 60.3712 | + | 12.0086i | 0.159291 | + | 0.0316849i | 0.274091 | − | 0.961704i | \(-0.411623\pi\) |
−0.114801 | + | 0.993389i | \(0.536623\pi\) | |||||||
\(380\) | 632.540 | + | 422.649i | 1.66458 | + | 1.11224i | ||||
\(381\) | −77.1945 | + | 15.3549i | −0.202610 | + | 0.0403017i | ||||
\(382\) | 233.655 | + | 96.7829i | 0.611661 | + | 0.253358i | ||||
\(383\) | 235.671 | − | 568.960i | 0.615329 | − | 1.48554i | −0.241744 | − | 0.970340i | \(-0.577719\pi\) |
0.857073 | − | 0.515196i | \(-0.172281\pi\) | |||||||
\(384\) | 41.2757 | + | 207.507i | 0.107489 | + | 0.540383i | ||||
\(385\) | −23.0886 | + | 34.5546i | −0.0599704 | + | 0.0897521i | ||||
\(386\) | −9.32115 | + | 46.8606i | −0.0241481 | + | 0.121400i | ||||
\(387\) | −61.1025 | − | 61.1025i | −0.157888 | − | 0.157888i | ||||
\(388\) | −232.893 | − | 348.548i | −0.600239 | − | 0.898321i | ||||
\(389\) | 336.723 | − | 139.475i | 0.865613 | − | 0.358549i | 0.0947127 | − | 0.995505i | \(-0.469807\pi\) |
0.770900 | + | 0.636956i | \(0.219807\pi\) | |||||||
\(390\) | 141.106i | 0.361811i | ||||||||
\(391\) | −315.554 | − | 23.2990i | −0.807045 | − | 0.0595883i | ||||
\(392\) | −297.422 | −0.758729 | ||||||||
\(393\) | 2.03800 | + | 4.92017i | 0.00518576 | + | 0.0125195i | ||||
\(394\) | −2.63940 | + | 1.76359i | −0.00669898 | + | 0.00447611i | ||||
\(395\) | 315.736 | − | 315.736i | 0.799331 | − | 0.799331i | ||||
\(396\) | 137.252 | + | 27.3011i | 0.346595 | + | 0.0689421i | ||||
\(397\) | −50.0566 | − | 33.4467i | −0.126087 | − | 0.0842487i | 0.490927 | − | 0.871200i | \(-0.336658\pi\) |
−0.617015 | + | 0.786952i | \(0.711658\pi\) | |||||||
\(398\) | 123.865 | − | 24.6382i | 0.311218 | − | 0.0619051i | ||||
\(399\) | 46.2078 | + | 19.1399i | 0.115809 | + | 0.0479697i | ||||
\(400\) | 65.5589 | − | 158.273i | 0.163897 | − | 0.395683i | ||||
\(401\) | 3.79806 | + | 19.0941i | 0.00947147 | + | 0.0476163i | 0.985232 | − | 0.171225i | \(-0.0547724\pi\) |
−0.975761 | + | 0.218841i | \(0.929772\pi\) | |||||||
\(402\) | −24.5720 | + | 36.7745i | −0.0611243 | + | 0.0914789i | ||||
\(403\) | −110.813 | + | 557.096i | −0.274971 | + | 1.38237i | ||||
\(404\) | −86.1103 | − | 86.1103i | −0.213144 | − | 0.213144i | ||||
\(405\) | 61.7636 | + | 92.4358i | 0.152503 | + | 0.228236i | ||||
\(406\) | 14.9909 | − | 6.20943i | 0.0369233 | − | 0.0152942i | ||||
\(407\) | 269.613i | 0.662439i | ||||||||
\(408\) | 129.590 | − | 111.769i | 0.317622 | − | 0.273944i | ||||
\(409\) | 434.868 | 1.06325 | 0.531623 | − | 0.846981i | \(-0.321582\pi\) | ||||
0.531623 | + | 0.846981i | \(0.321582\pi\) | |||||||
\(410\) | 8.36881 | + | 20.2041i | 0.0204117 | + | 0.0492783i | ||||
\(411\) | 121.970 | − | 81.4979i | 0.296765 | − | 0.198292i | ||||
\(412\) | −127.413 | + | 127.413i | −0.309254 | + | 0.309254i | ||||
\(413\) | 30.5043 | + | 6.06768i | 0.0738602 | + | 0.0146917i | ||||
\(414\) | −83.1859 | − | 55.5830i | −0.200932 | − | 0.134259i | ||||
\(415\) | 288.139 | − | 57.3144i | 0.694311 | − | 0.138107i | ||||
\(416\) | 432.991 | + | 179.351i | 1.04084 | + | 0.431132i | ||||
\(417\) | −81.2259 | + | 196.097i | −0.194786 | + | 0.470256i | ||||
\(418\) | −37.7386 | − | 189.725i | −0.0902837 | − | 0.453887i | ||||
\(419\) | −44.9826 | + | 67.3212i | −0.107357 | + | 0.160671i | −0.881258 | − | 0.472635i | \(-0.843303\pi\) |
0.773901 | + | 0.633307i | \(0.218303\pi\) | |||||||
\(420\) | 6.45011 | − | 32.4269i | 0.0153574 | − | 0.0772069i | ||||
\(421\) | 211.099 | + | 211.099i | 0.501423 | + | 0.501423i | 0.911880 | − | 0.410457i | \(-0.134631\pi\) |
−0.410457 | + | 0.911880i | \(0.634631\pi\) | |||||||
\(422\) | −139.833 | − | 209.275i | −0.331358 | − | 0.495912i | ||||
\(423\) | 76.2572 | − | 31.5868i | 0.180277 | − | 0.0746732i | ||||
\(424\) | 12.3149i | 0.0290446i | ||||||||
\(425\) | −366.243 | + | 45.1456i | −0.861748 | + | 0.106225i | ||||
\(426\) | −143.263 | −0.336297 | ||||||||
\(427\) | 12.2831 | + | 29.6541i | 0.0287661 | + | 0.0694475i | ||||
\(428\) | −405.181 | + | 270.733i | −0.946685 | + | 0.632555i | ||||
\(429\) | −115.835 | + | 115.835i | −0.270013 | + | 0.270013i | ||||
\(430\) | 77.4436 | + | 15.4045i | 0.180101 | + | 0.0358244i | ||||
\(431\) | −499.936 | − | 334.047i | −1.15994 | − | 0.775050i | −0.181873 | − | 0.983322i | \(-0.558216\pi\) |
−0.978071 | + | 0.208272i | \(0.933216\pi\) | |||||||
\(432\) | −193.646 | + | 38.5187i | −0.448255 | + | 0.0891635i | ||||
\(433\) | −405.728 | − | 168.058i | −0.937017 | − | 0.388125i | −0.138681 | − | 0.990337i | \(-0.544286\pi\) |
−0.798336 | + | 0.602212i | \(0.794286\pi\) | |||||||
\(434\) | −11.1553 | + | 26.9312i | −0.0257034 | + | 0.0620534i | ||||
\(435\) | −46.0327 | − | 231.422i | −0.105822 | − | 0.532005i | ||||
\(436\) | 43.5268 | − | 65.1425i | 0.0998321 | − | 0.149409i | ||||
\(437\) | 123.182 | − | 619.277i | 0.281881 | − | 1.41711i | ||||
\(438\) | −61.5532 | − | 61.5532i | −0.140533 | − | 0.140533i | ||||
\(439\) | 354.911 | + | 531.162i | 0.808453 | + | 1.20994i | 0.974626 | + | 0.223839i | \(0.0718589\pi\) |
−0.166173 | + | 0.986097i | \(0.553141\pi\) | |||||||
\(440\) | −262.156 | + | 108.588i | −0.595809 | + | 0.246792i | ||||
\(441\) | − | 305.503i | − | 0.692751i | ||||||
\(442\) | −26.3317 | − | 213.615i | −0.0595739 | − | 0.483292i | ||||
\(443\) | −79.9030 | −0.180368 | −0.0901839 | − | 0.995925i | \(-0.528745\pi\) | ||||
−0.0901839 | + | 0.995925i | \(0.528745\pi\) | |||||||
\(444\) | −82.0829 | − | 198.166i | −0.184871 | − | 0.446319i | ||||
\(445\) | −398.351 | + | 266.170i | −0.895170 | + | 0.598134i | ||||
\(446\) | 53.9846 | − | 53.9846i | 0.121042 | − | 0.121042i | ||||
\(447\) | −339.057 | − | 67.4426i | −0.758516 | − | 0.150878i | ||||
\(448\) | −3.73178 | − | 2.49350i | −0.00832987 | − | 0.00556584i | ||||
\(449\) | 144.414 | − | 28.7257i | 0.321634 | − | 0.0639770i | −0.0316329 | − | 0.999500i | \(-0.510071\pi\) |
0.353267 | + | 0.935523i | \(0.385071\pi\) | |||||||
\(450\) | −107.797 | − | 44.6511i | −0.239549 | − | 0.0992246i | ||||
\(451\) | −9.71569 | + | 23.4558i | −0.0215426 | + | 0.0520083i | ||||
\(452\) | 31.0537 | + | 156.118i | 0.0687029 | + | 0.345393i | ||||
\(453\) | 54.2188 | − | 81.1442i | 0.119688 | − | 0.179126i | ||||
\(454\) | 24.6712 | − | 124.031i | 0.0543420 | − | 0.273195i | ||||
\(455\) | −65.2464 | − | 65.2464i | −0.143399 | − | 0.143399i | ||||
\(456\) | 189.725 | + | 283.943i | 0.416063 | + | 0.622682i | ||||
\(457\) | 595.804 | − | 246.790i | 1.30373 | − | 0.540022i | 0.380681 | − | 0.924706i | \(-0.375690\pi\) |
0.923048 | + | 0.384684i | \(0.125690\pi\) | |||||||
\(458\) | 116.072i | 0.253432i | ||||||||
\(459\) | 277.767 | + | 322.055i | 0.605156 | + | 0.701644i | ||||
\(460\) | −417.390 | −0.907370 | ||||||||
\(461\) | 98.1211 | + | 236.885i | 0.212844 | + | 0.513851i | 0.993858 | − | 0.110663i | \(-0.0352973\pi\) |
−0.781014 | + | 0.624513i | \(0.785297\pi\) | |||||||
\(462\) | −6.99015 | + | 4.67067i | −0.0151302 | + | 0.0101097i | ||||
\(463\) | 422.873 | − | 422.873i | 0.913332 | − | 0.913332i | −0.0832008 | − | 0.996533i | \(-0.526514\pi\) |
0.996533 | + | 0.0832008i | \(0.0265143\pi\) | |||||||
\(464\) | −163.875 | − | 32.5968i | −0.353180 | − | 0.0702518i | ||||
\(465\) | 352.457 | + | 235.504i | 0.757971 | + | 0.506460i | ||||
\(466\) | −296.676 | + | 59.0124i | −0.636643 | + | 0.126636i | ||||
\(467\) | 469.394 | + | 194.429i | 1.00513 | + | 0.416337i | 0.823674 | − | 0.567063i | \(-0.191920\pi\) |
0.181452 | + | 0.983400i | \(0.441920\pi\) | |||||||
\(468\) | −118.904 | + | 287.060i | −0.254068 | + | 0.613375i | ||||
\(469\) | −5.64238 | − | 28.3661i | −0.0120307 | − | 0.0604822i | ||||
\(470\) | −41.9027 | + | 62.7118i | −0.0891547 | + | 0.133429i | ||||
\(471\) | 46.9418 | − | 235.992i | 0.0996641 | − | 0.501045i | ||||
\(472\) | 150.161 | + | 150.161i | 0.318137 | + | 0.318137i | ||||
\(473\) | 50.9285 | + | 76.2199i | 0.107671 | + | 0.161141i | ||||
\(474\) | 83.4517 | − | 34.5668i | 0.176058 | − | 0.0729258i | ||||
\(475\) | − | 736.376i | − | 1.55027i | ||||||
\(476\) | −3.71343 | + | 50.2934i | −0.00780131 | + | 0.105658i | ||||
\(477\) | −12.6495 | −0.0265190 | ||||||||
\(478\) | −129.146 | − | 311.786i | −0.270180 | − | 0.652272i | ||||
\(479\) | −329.863 | + | 220.407i | −0.688649 | + | 0.460141i | −0.850018 | − | 0.526753i | \(-0.823409\pi\) |
0.161369 | + | 0.986894i | \(0.448409\pi\) | |||||||
\(480\) | 247.316 | − | 247.316i | 0.515241 | − | 0.515241i | ||||
\(481\) | −587.120 | − | 116.785i | −1.22062 | − | 0.242797i | ||||
\(482\) | −55.9288 | − | 37.3704i | −0.116035 | − | 0.0775320i | ||||
\(483\) | −26.9138 | + | 5.35349i | −0.0557221 | + | 0.0110838i | ||||
\(484\) | 229.662 | + | 95.1289i | 0.474507 | + | 0.196547i | ||||
\(485\) | −334.118 | + | 806.632i | −0.688903 | + | 1.66316i | ||||
\(486\) | 41.6257 | + | 209.266i | 0.0856495 | + | 0.430589i | ||||
\(487\) | 214.400 | − | 320.872i | 0.440246 | − | 0.658875i | −0.543299 | − | 0.839539i | \(-0.682825\pi\) |
0.983545 | + | 0.180665i | \(0.0578249\pi\) | |||||||
\(488\) | −42.7553 | + | 214.945i | −0.0876133 | + | 0.440462i | ||||
\(489\) | 373.980 | + | 373.980i | 0.764784 | + | 0.764784i | ||||
\(490\) | 155.093 | + | 232.113i | 0.316516 | + | 0.473700i | ||||
\(491\) | 430.764 | − | 178.428i | 0.877319 | − | 0.363398i | 0.101863 | − | 0.994798i | \(-0.467520\pi\) |
0.775457 | + | 0.631401i | \(0.217520\pi\) | |||||||
\(492\) | − | 20.1979i | − | 0.0410527i | ||||||
\(493\) | 112.873 | + | 341.751i | 0.228950 | + | 0.693207i | ||||
\(494\) | 429.499 | 0.869432 | ||||||||
\(495\) | −111.539 | − | 269.279i | −0.225331 | − | 0.543998i | ||||
\(496\) | 249.583 | − | 166.766i | 0.503191 | − | 0.336221i | ||||
\(497\) | 66.2436 | − | 66.2436i | 0.133287 | − | 0.133287i | ||||
\(498\) | 58.2885 | + | 11.5943i | 0.117045 | + | 0.0232817i | ||||
\(499\) | 152.031 | + | 101.584i | 0.304671 | + | 0.203574i | 0.698502 | − | 0.715608i | \(-0.253850\pi\) |
−0.393831 | + | 0.919183i | \(0.628850\pi\) | |||||||
\(500\) | 72.4327 | − | 14.4078i | 0.144865 | − | 0.0288155i | ||||
\(501\) | −237.592 | − | 98.4139i | −0.474236 | − | 0.196435i | ||||
\(502\) | −147.085 | + | 355.094i | −0.292998 | + | 0.707359i | ||||
\(503\) | −125.290 | − | 629.877i | −0.249086 | − | 1.25224i | −0.879469 | − | 0.475956i | \(-0.842102\pi\) |
0.630383 | − | 0.776284i | \(-0.282898\pi\) | |||||||
\(504\) | −19.6581 | + | 29.4205i | −0.0390042 | + | 0.0583739i | ||||
\(505\) | −49.4822 | + | 248.764i | −0.0979846 | + | 0.492602i | ||||
\(506\) | 75.0475 | + | 75.0475i | 0.148315 | + | 0.148315i | ||||
\(507\) | −48.9556 | − | 73.2672i | −0.0965593 | − | 0.144511i | ||||
\(508\) | 146.311 | − | 60.6039i | 0.288013 | − | 0.119299i | ||||
\(509\) | 177.040i | 0.347819i | 0.984762 | + | 0.173909i | \(0.0556400\pi\) | ||||
−0.984762 | + | 0.173909i | \(0.944360\pi\) | |||||||
\(510\) | −154.802 | − | 42.8513i | −0.303534 | − | 0.0840221i | ||||
\(511\) | 56.9235 | 0.111396 | ||||||||
\(512\) | −169.352 | − | 408.852i | −0.330766 | − | 0.798539i | ||||
\(513\) | −705.651 | + | 471.501i | −1.37554 | + | 0.919105i | ||||
\(514\) | −59.0293 | + | 59.0293i | −0.114843 | + | 0.114843i | ||||
\(515\) | 368.083 | + | 73.2162i | 0.714724 | + | 0.142167i | ||||
\(516\) | −60.6374 | − | 40.5166i | −0.117514 | − | 0.0785206i | ||||
\(517\) | −85.8791 | + | 17.0824i | −0.166110 | + | 0.0330414i | ||||
\(518\) | −28.3826 | − | 11.7565i | −0.0547927 | − | 0.0226959i | ||||
\(519\) | 102.569 | − | 247.623i | 0.197628 | − | 0.477116i | ||||
\(520\) | −122.911 | − | 617.918i | −0.236368 | − | 1.18830i | ||||
\(521\) | −169.681 | + | 253.946i | −0.325684 | + | 0.487420i | −0.957793 | − | 0.287459i | \(-0.907189\pi\) |
0.632109 | + | 0.774879i | \(0.282189\pi\) | |||||||
\(522\) | −22.2012 | + | 111.613i | −0.0425310 | + | 0.213818i | ||||
\(523\) | −291.958 | − | 291.958i | −0.558238 | − | 0.558238i | 0.370568 | − | 0.928806i | \(-0.379163\pi\) |
−0.928806 | + | 0.370568i | \(0.879163\pi\) | |||||||
\(524\) | −5.95322 | − | 8.90963i | −0.0113611 | − | 0.0170031i | ||||
\(525\) | −29.5669 | + | 12.2470i | −0.0563178 | + | 0.0233276i | ||||
\(526\) | − | 76.2721i | − | 0.145004i | ||||||
\(527\) | −577.517 | − | 290.749i | −1.09586 | − | 0.551705i | ||||
\(528\) | 86.5701 | 0.163959 | ||||||||
\(529\) | −69.8676 | − | 168.675i | −0.132075 | − | 0.318857i | ||||
\(530\) | 9.61078 | − | 6.42172i | 0.0181336 | − | 0.0121165i | ||||
\(531\) | −154.241 | + | 154.241i | −0.290473 | + | 0.290473i | ||||
\(532\) | −98.7011 | − | 19.6329i | −0.185528 | − | 0.0369039i | ||||
\(533\) | −46.8698 | − | 31.3174i | −0.0879359 | − | 0.0587569i | ||||
\(534\) | −95.0549 | + | 18.9076i | −0.178005 | + | 0.0354075i | ||||
\(535\) | 937.695 | + | 388.406i | 1.75270 | + | 0.725992i | ||||
\(536\) | 75.5703 | − | 182.443i | 0.140989 | − | 0.340379i | ||||
\(537\) | −61.7451 | − | 310.413i | −0.114982 | − | 0.578051i | ||||
\(538\) | 222.940 | − | 333.653i | 0.414387 | − | 0.620174i | ||||
\(539\) | −63.2265 | + | 317.861i | −0.117303 | + | 0.589724i | ||||
\(540\) | 396.698 | + | 396.698i | 0.734626 | + | 0.734626i | ||||
\(541\) | −397.133 | − | 594.351i | −0.734072 | − | 1.09862i | −0.991217 | − | 0.132243i | \(-0.957782\pi\) |
0.257145 | − | 0.966373i | \(-0.417218\pi\) | |||||||
\(542\) | 48.1220 | − | 19.9328i | 0.0887859 | − | 0.0367763i | ||||
\(543\) | 81.4550i | 0.150009i | ||||||||
\(544\) | −328.250 | + | 420.553i | −0.603401 | + | 0.773075i | ||||
\(545\) | −163.178 | −0.299409 | ||||||||
\(546\) | −7.14319 | − | 17.2452i | −0.0130828 | − | 0.0315846i | ||||
\(547\) | 251.742 | − | 168.209i | 0.460223 | − | 0.307511i | −0.303759 | − | 0.952749i | \(-0.598242\pi\) |
0.763982 | + | 0.645238i | \(0.223242\pi\) | |||||||
\(548\) | −208.709 | + | 208.709i | −0.380855 | + | 0.380855i | ||||
\(549\) | −220.786 | − | 43.9171i | −0.402160 | − | 0.0799946i | ||||
\(550\) | 102.917 | + | 68.7668i | 0.187121 | + | 0.125031i | ||||
\(551\) | −704.404 | + | 140.115i | −1.27841 | + | 0.254292i | ||||
\(552\) | −173.102 | − | 71.7011i | −0.313590 | − | 0.129893i | ||||
\(553\) | −22.6040 | + | 54.5708i | −0.0408752 | + | 0.0986815i | ||||
\(554\) | 24.6708 | + | 124.029i | 0.0445321 | + | 0.223878i | ||||
\(555\) | −248.196 | + | 371.452i | −0.447200 | + | 0.669283i | ||||
\(556\) | 83.3180 | − | 418.868i | 0.149853 | − | 0.753360i | ||||
\(557\) | 708.431 | + | 708.431i | 1.27187 | + | 1.27187i | 0.945107 | + | 0.326762i | \(0.105958\pi\) |
0.326762 | + | 0.945107i | \(0.394042\pi\) | |||||||
\(558\) | −113.581 | − | 169.987i | −0.203551 | − | 0.304635i | ||||
\(559\) | −188.040 | + | 77.8887i | −0.336386 | + | 0.139336i | ||||
\(560\) | 48.7622i | 0.0870753i | ||||||||
\(561\) | −91.9016 | − | 162.256i | −0.163818 | − | 0.289226i | ||||
\(562\) | −28.7839 | −0.0512170 | ||||||||
\(563\) | −314.331 | − | 758.863i | −0.558315 | − | 1.34789i | −0.911099 | − | 0.412187i | \(-0.864765\pi\) |
0.352784 | − | 0.935705i | \(-0.385235\pi\) | |||||||
\(564\) | 57.9205 | − | 38.7012i | 0.102696 | − | 0.0686192i | ||||
\(565\) | 234.426 | − | 234.426i | 0.414914 | − | 0.414914i | ||||
\(566\) | −157.202 | − | 31.2694i | −0.277742 | − | 0.0552463i | ||||
\(567\) | −12.2278 | − | 8.17032i | −0.0215657 | − | 0.0144097i | ||||
\(568\) | 627.361 | − | 124.790i | 1.10451 | − | 0.219701i | ||||
\(569\) | 395.568 | + | 163.849i | 0.695198 | + | 0.287960i | 0.702164 | − | 0.712015i | \(-0.252217\pi\) |
−0.00696604 | + | 0.999976i | \(0.502217\pi\) | |||||||
\(570\) | 122.661 | − | 296.129i | 0.215194 | − | 0.519525i | ||||
\(571\) | 78.3724 | + | 394.005i | 0.137255 | + | 0.690026i | 0.986726 | + | 0.162392i | \(0.0519208\pi\) |
−0.849472 | + | 0.527634i | \(0.823079\pi\) | |||||||
\(572\) | 183.123 | − | 274.063i | 0.320145 | − | 0.479132i | ||||
\(573\) | −94.9119 | + | 477.154i | −0.165640 | + | 0.832730i | ||||
\(574\) | −2.04558 | − | 2.04558i | −0.00356372 | − | 0.00356372i | ||||
\(575\) | 224.460 | + | 335.929i | 0.390366 | + | 0.584224i | ||||
\(576\) | 29.0813 | − | 12.0459i | 0.0504884 | − | 0.0209130i | ||||
\(577\) | 324.254i | 0.561965i | 0.959713 | + | 0.280982i | \(0.0906602\pi\) | ||||
−0.959713 | + | 0.280982i | \(0.909340\pi\) | |||||||
\(578\) | 242.346 | + | 35.9834i | 0.419283 | + | 0.0622550i | ||||
\(579\) | −91.9094 | −0.158738 | ||||||||
\(580\) | 181.685 | + | 438.626i | 0.313250 | + | 0.756252i | ||||
\(581\) | −32.3133 | + | 21.5910i | −0.0556167 | + | 0.0371619i | ||||
\(582\) | −124.890 | + | 124.890i | −0.214587 | + | 0.214587i | ||||
\(583\) | 13.1612 | + | 2.61793i | 0.0225750 | + | 0.00449045i | ||||
\(584\) | 323.164 | + | 215.931i | 0.553363 | + | 0.369745i | ||||
\(585\) | 634.708 | − | 126.251i | 1.08497 | − | 0.215814i | ||||
\(586\) | 138.619 | + | 57.4177i | 0.236551 | + | 0.0979825i | ||||
\(587\) | −103.107 | + | 248.922i | −0.175651 | + | 0.424058i | −0.987046 | − | 0.160440i | \(-0.948709\pi\) |
0.811395 | + | 0.584498i | \(0.198709\pi\) | |||||||
\(588\) | −50.3004 | − | 252.877i | −0.0855449 | − | 0.430063i | ||||
\(589\) | 716.828 | − | 1072.81i | 1.21703 | − | 1.82141i | ||||
\(590\) | 38.8855 | − | 195.491i | 0.0659077 | − | 0.331340i | ||||
\(591\) | −4.31787 | − | 4.31787i | −0.00730603 | − | 0.00730603i | ||||
\(592\) | 175.753 | + | 263.034i | 0.296881 | + | 0.444313i | ||||
\(593\) | −662.174 | + | 274.282i | −1.11665 | + | 0.462532i | −0.863223 | − | 0.504822i | \(-0.831558\pi\) |
−0.253428 | + | 0.967354i | \(0.581558\pi\) | |||||||
\(594\) | − | 142.654i | − | 0.240158i | ||||||
\(595\) | 91.3935 | − | 51.7653i | 0.153603 | − | 0.0870005i | ||||
\(596\) | 695.579 | 1.16708 | ||||||||
\(597\) | 92.9693 | + | 224.448i | 0.155727 | + | 0.375959i | ||||
\(598\) | −195.934 | + | 130.919i | −0.327649 | + | 0.218928i | ||||
\(599\) | −330.421 | + | 330.421i | −0.551622 | + | 0.551622i | −0.926909 | − | 0.375287i | \(-0.877544\pi\) |
0.375287 | + | 0.926909i | \(0.377544\pi\) | |||||||
\(600\) | −214.313 | − | 42.6295i | −0.357189 | − | 0.0710492i | ||||
\(601\) | −26.7271 | − | 17.8585i | −0.0444710 | − | 0.0297146i | 0.533136 | − | 0.846030i | \(-0.321013\pi\) |
−0.577607 | + | 0.816315i | \(0.696013\pi\) | |||||||
\(602\) | −10.2445 | + | 2.03776i | −0.0170175 | + | 0.00338499i | ||||
\(603\) | 187.400 | + | 77.6237i | 0.310780 | + | 0.128729i | ||||
\(604\) | −75.1448 | + | 181.416i | −0.124412 | + | 0.300357i | ||||
\(605\) | −101.007 | − | 507.797i | −0.166954 | − | 0.839334i | ||||
\(606\) | −28.5058 | + | 42.6620i | −0.0470393 | + | 0.0703993i | ||||
\(607\) | −51.7408 | + | 260.119i | −0.0852402 | + | 0.428531i | 0.914474 | + | 0.404644i | \(0.132604\pi\) |
−0.999715 | + | 0.0238877i | \(0.992396\pi\) | |||||||
\(608\) | −752.780 | − | 752.780i | −1.23813 | − | 1.23813i | ||||
\(609\) | 17.3411 | + | 25.9528i | 0.0284747 | + | 0.0426154i | ||||
\(610\) | 190.042 | − | 78.7181i | 0.311545 | − | 0.129046i | ||||
\(611\) | − | 194.413i | − | 0.318189i | ||||||
\(612\) | −278.813 | − | 217.620i | −0.455577 | − | 0.355588i | ||||
\(613\) | −700.076 | −1.14205 | −0.571025 | − | 0.820933i | \(-0.693454\pi\) | ||||
−0.571025 | + | 0.820933i | \(0.693454\pi\) | |||||||
\(614\) | 119.432 | + | 288.335i | 0.194515 | + | 0.469602i | ||||
\(615\) | −34.9781 | + | 23.3716i | −0.0568750 | + | 0.0380026i | ||||
\(616\) | 26.5421 | − | 26.5421i | 0.0430879 | − | 0.0430879i | ||||
\(617\) | 703.990 | + | 140.032i | 1.14099 | + | 0.226957i | 0.729185 | − | 0.684316i | \(-0.239899\pi\) |
0.411803 | + | 0.911273i | \(0.364899\pi\) | |||||||
\(618\) | 63.1246 | + | 42.1785i | 0.102143 | + | 0.0682500i | ||||
\(619\) | −898.874 | + | 178.797i | −1.45214 | + | 0.288848i | −0.857225 | − | 0.514941i | \(-0.827814\pi\) |
−0.594913 | + | 0.803790i | \(0.702814\pi\) | |||||||
\(620\) | −787.994 | − | 326.398i | −1.27096 | − | 0.526448i | ||||
\(621\) | 178.190 | − | 430.190i | 0.286941 | − | 0.692737i | ||||
\(622\) | 17.3803 | + | 87.3767i | 0.0279426 | + | 0.140477i | ||||
\(623\) | 35.2099 | − | 52.6954i | 0.0565167 | − | 0.0845833i | ||||
\(624\) | −37.4987 | + | 188.519i | −0.0600941 | + | 0.302113i | ||||
\(625\) | −492.490 | − | 492.490i | −0.787984 | − | 0.787984i | ||||
\(626\) | 204.359 | + | 305.845i | 0.326452 | + | 0.488570i | ||||
\(627\) | 343.788 | − | 142.402i | 0.548307 | − | 0.227116i | ||||
\(628\) | 484.141i | 0.770926i | ||||||||
\(629\) | 306.418 | − | 608.642i | 0.487152 | − | 0.967634i | ||||
\(630\) | 33.2111 | 0.0527161 | ||||||||
\(631\) | 313.464 | + | 756.768i | 0.496773 | + | 1.19932i | 0.951212 | + | 0.308538i | \(0.0998397\pi\) |
−0.454439 | + | 0.890778i | \(0.650160\pi\) | |||||||
\(632\) | −335.333 | + | 224.063i | −0.530591 | + | 0.354529i | ||||
\(633\) | 342.359 | − | 342.359i | 0.540852 | − | 0.540852i | ||||
\(634\) | −435.698 | − | 86.6657i | −0.687220 | − | 0.136697i | ||||
\(635\) | −274.252 | − | 183.250i | −0.431893 | − | 0.288582i | ||||
\(636\) | −10.4705 | + | 2.08272i | −0.0164631 | + | 0.00327472i | ||||
\(637\) | −664.801 | − | 275.370i | −1.04364 | − | 0.432291i | ||||
\(638\) | 46.1985 | − | 111.533i | 0.0724114 | − | 0.174817i | ||||
\(639\) | 128.181 | + | 644.408i | 0.200596 | + | 1.00846i | ||||
\(640\) | −492.594 | + | 737.219i | −0.769679 | + | 1.15191i | ||||
\(641\) | 206.112 | − | 1036.19i | 0.321547 | − | 1.61653i | −0.394790 | − | 0.918771i | \(-0.629183\pi\) |
0.716337 | − | 0.697754i | \(-0.245817\pi\) | |||||||
\(642\) | 145.182 | + | 145.182i | 0.226140 | + | 0.226140i | ||||
\(643\) | 198.642 | + | 297.289i | 0.308931 | + | 0.462347i | 0.953152 | − | 0.302492i | \(-0.0978185\pi\) |
−0.644221 | + | 0.764839i | \(0.722818\pi\) | |||||||
\(644\) | 51.0111 | − | 21.1295i | 0.0792097 | − | 0.0328097i | ||||
\(645\) | 151.893i | 0.235493i | ||||||||
\(646\) | −130.431 | + | 471.188i | −0.201905 | + | 0.729393i | ||||
\(647\) | 414.046 | 0.639947 | 0.319973 | − | 0.947427i | \(-0.396326\pi\) | ||||
0.319973 | + | 0.947427i | \(0.396326\pi\) | |||||||
\(648\) | −38.4260 | − | 92.7686i | −0.0592994 | − | 0.143161i | ||||
\(649\) | 192.402 | − | 128.559i | 0.296459 | − | 0.198088i | ||||
\(650\) | −194.329 | + | 194.329i | −0.298968 | + | 0.298968i | ||||
\(651\) | −54.9971 | − | 10.9396i | −0.0844810 | − | 0.0168043i | ||||
\(652\) | −884.825 | − | 591.221i | −1.35709 | − | 0.906781i | ||||
\(653\) | 714.568 | − | 142.136i | 1.09428 | − | 0.217667i | 0.385230 | − | 0.922821i | \(-0.374122\pi\) |
0.709054 | + | 0.705154i | \(0.249122\pi\) | |||||||
\(654\) | −30.4970 | − | 12.6323i | −0.0466315 | − | 0.0193154i | ||||
\(655\) | −8.54075 | + | 20.6192i | −0.0130393 | + | 0.0314797i | ||||
\(656\) | 5.81158 | + | 29.2168i | 0.00885911 | + | 0.0445378i | ||||
\(657\) | −221.799 | + | 331.945i | −0.337593 | + | 0.505244i | ||||
\(658\) | 1.94646 | − | 9.78551i | 0.00295815 | − | 0.0148716i | ||||
\(659\) | −310.871 | − | 310.871i | −0.471731 | − | 0.471731i | 0.430743 | − | 0.902474i | \(-0.358251\pi\) |
−0.902474 | + | 0.430743i | \(0.858251\pi\) | |||||||
\(660\) | −136.662 | − | 204.528i | −0.207063 | − | 0.309892i | ||||
\(661\) | −163.337 | + | 67.6563i | −0.247105 | + | 0.102354i | −0.502799 | − | 0.864404i | \(-0.667696\pi\) |
0.255693 | + | 0.966758i | \(0.417696\pi\) | |||||||
\(662\) | − | 298.294i | − | 0.450595i | ||||||
\(663\) | 393.143 | − | 129.846i | 0.592976 | − | 0.195846i | ||||
\(664\) | −265.351 | −0.399624 | ||||||||
\(665\) | 80.2104 | + | 193.645i | 0.120617 | + | 0.291196i | ||||
\(666\) | 179.148 | − | 119.703i | 0.268991 | − | 0.179734i | ||||
\(667\) | 278.634 | − | 278.634i | 0.417742 | − | 0.417742i | ||||
\(668\) | 507.503 | + | 100.949i | 0.759736 | + | 0.151121i | ||||
\(669\) | 122.112 | + | 81.5924i | 0.182529 | + | 0.121962i | ||||
\(670\) | −181.788 | + | 36.1600i | −0.271326 | + | 0.0539701i | ||||
\(671\) | 220.628 | + | 91.3871i | 0.328805 | + | 0.136195i | ||||
\(672\) | −17.7057 | + | 42.7453i | −0.0263478 | + | 0.0636091i | ||||
\(673\) | 121.389 | + | 610.263i | 0.180370 | + | 0.906780i | 0.959884 | + | 0.280396i | \(0.0904658\pi\) |
−0.779515 | + | 0.626384i | \(0.784534\pi\) | |||||||
\(674\) | 73.2077 | − | 109.563i | 0.108617 | − | 0.162557i | ||||
\(675\) | 105.942 | − | 532.608i | 0.156951 | − | 0.789048i | ||||
\(676\) | 125.371 | + | 125.371i | 0.185460 | + | 0.185460i | ||||
\(677\) | −26.5471 | − | 39.7306i | −0.0392129 | − | 0.0586862i | 0.811345 | − | 0.584567i | \(-0.198736\pi\) |
−0.850558 | + | 0.525881i | \(0.823736\pi\) | |||||||
\(678\) | 61.9609 | − | 25.6650i | 0.0913878 | − | 0.0378540i | ||||
\(679\) | − | 115.496i | − | 0.170097i | ||||||
\(680\) | 715.220 | + | 52.8084i | 1.05179 | + | 0.0776594i | ||||
\(681\) | 243.266 | 0.357219 | ||||||||
\(682\) | 82.9957 | + | 200.369i | 0.121695 | + | 0.293797i | ||||
\(683\) | 618.830 | − | 413.489i | 0.906048 | − | 0.605402i | −0.0128416 | − | 0.999918i | \(-0.504088\pi\) |
0.918889 | + | 0.394516i | \(0.129088\pi\) | |||||||
\(684\) | 499.070 | − | 499.070i | 0.729634 | − | 0.729634i | ||||
\(685\) | 602.938 | + | 119.932i | 0.880202 | + | 0.175083i | ||||
\(686\) | −61.9304 | − | 41.3806i | −0.0902776 | − | 0.0603216i | ||||
\(687\) | −218.991 | + | 43.5600i | −0.318764 | + | 0.0634062i | ||||
\(688\) | 99.3714 | + | 41.1610i | 0.144435 | + | 0.0598270i | ||||
\(689\) | −11.4018 | + | 27.5265i | −0.0165484 | + | 0.0399514i | ||||
\(690\) | 34.3086 | + | 172.481i | 0.0497225 | + | 0.249972i | ||||
\(691\) | −713.306 | + | 1067.54i | −1.03228 | + | 1.54492i | −0.208489 | + | 0.978025i | \(0.566855\pi\) |
−0.823792 | + | 0.566893i | \(0.808145\pi\) | |||||||
\(692\) | −105.211 | + | 528.930i | −0.152038 | + | 0.764349i | ||||
\(693\) | 27.2633 | + | 27.2633i | 0.0393410 | + | 0.0393410i | ||||
\(694\) | −126.003 | − | 188.577i | −0.181561 | − | 0.271725i | ||||
\(695\) | −821.792 | + | 340.397i | −1.18243 | + | 0.489780i | ||||
\(696\) | 213.119i | 0.306206i | ||||||||
\(697\) | 48.5906 | − | 41.9086i | 0.0697140 | − | 0.0601271i | ||||
\(698\) | 167.384 | 0.239806 | ||||||||
\(699\) | −222.676 | − | 537.588i | −0.318564 | − | 0.769081i | ||||
\(700\) | 53.5407 | − | 35.7748i | 0.0764868 | − | 0.0511068i | ||||
\(701\) | −895.228 | + | 895.228i | −1.27707 | + | 1.27707i | −0.334774 | + | 0.942298i | \(0.608660\pi\) |
−0.942298 | + | 0.334774i | \(0.891340\pi\) | |||||||
\(702\) | 310.649 | + | 61.7920i | 0.442520 | + | 0.0880227i | ||||
\(703\) | 1130.63 | + | 755.461i | 1.60829 | + | 1.07462i | ||||
\(704\) | −32.7507 | + | 6.51451i | −0.0465208 | + | 0.00925357i | ||||
\(705\) | −134.043 | − | 55.5225i | −0.190132 | − | 0.0787553i | ||||
\(706\) | 139.297 | − | 336.292i | 0.197304 | − | 0.476335i | ||||
\(707\) | −6.54570 | − | 32.9074i | −0.00925841 | − | 0.0465452i | ||||
\(708\) | −102.276 | + | 153.067i | −0.144458 | + | 0.216196i | ||||
\(709\) | 145.154 | − | 729.738i | 0.204730 | − | 1.02925i | −0.732561 | − | 0.680702i | \(-0.761675\pi\) |
0.937291 | − | 0.348547i | \(-0.113325\pi\) | |||||||
\(710\) | −424.531 | − | 424.531i | −0.597931 | − | 0.597931i | ||||
\(711\) | −230.151 | − | 344.445i | −0.323700 | − | 0.484452i | ||||
\(712\) | 399.785 | − | 165.596i | 0.561496 | − | 0.232579i | ||||
\(713\) | 707.908i | 0.992859i | ||||||||
\(714\) | 21.0883 | − | 2.59949i | 0.0295354 | − | 0.00364074i | ||||
\(715\) | −686.511 | −0.960156 | ||||||||
\(716\) | 243.699 | + | 588.342i | 0.340362 | + | 0.821707i | ||||
\(717\) | 539.776 | − | 360.667i | 0.752826 | − | 0.503022i | ||||
\(718\) | −34.0384 | + | 34.0384i | −0.0474073 | + | 0.0474073i | ||||
\(719\) | 141.631 | + | 28.1722i | 0.196984 | + | 0.0391825i | 0.292596 | − | 0.956236i | \(-0.405481\pi\) |
−0.0956124 | + | 0.995419i | \(0.530481\pi\) | |||||||
\(720\) | −284.353 | − | 189.999i | −0.394935 | − | 0.263887i | ||||
\(721\) | −48.6914 | + | 9.68532i | −0.0675331 | + | 0.0134332i | ||||
\(722\) | −618.614 | − | 256.238i | −0.856806 | − | 0.354901i | ||||
\(723\) | 49.5170 | − | 119.545i | 0.0684883 | − | 0.165345i | ||||
\(724\) | −31.9744 | − | 160.746i | −0.0441635 | − | 0.222025i | ||||
\(725\) | 255.315 | − | 382.106i | 0.352159 | − | 0.527043i | ||||
\(726\) | 20.4330 | − | 102.724i | 0.0281447 | − | 0.141493i | ||||
\(727\) | 33.3667 | + | 33.3667i | 0.0458965 | + | 0.0458965i | 0.729683 | − | 0.683786i | \(-0.239668\pi\) |
−0.683786 | + | 0.729683i | \(0.739668\pi\) | |||||||
\(728\) | 46.3023 | + | 69.2963i | 0.0636020 | + | 0.0951872i | ||||
\(729\) | −243.941 | + | 101.044i | −0.334624 | + | 0.138606i | ||||
\(730\) | − | 364.802i | − | 0.499729i | ||||||
\(731\) | −28.3446 | − | 229.945i | −0.0387750 | − | 0.314562i | ||||
\(732\) | −189.984 | −0.259541 | ||||||||
\(733\) | −250.284 | − | 604.239i | −0.341452 | − | 0.824337i | −0.997569 | − | 0.0696787i | \(-0.977803\pi\) |
0.656118 | − | 0.754658i | \(-0.272197\pi\) | |||||||
\(734\) | −160.291 | + | 107.103i | −0.218381 | + | 0.145917i | ||||
\(735\) | −379.721 | + | 379.721i | −0.516627 | + | 0.516627i | ||||
\(736\) | 572.873 | + | 113.951i | 0.778360 | + | 0.154825i | ||||
\(737\) | −178.916 | − | 119.548i | −0.242762 | − | 0.162209i | ||||
\(738\) | 19.8991 | − | 3.95817i | 0.0269635 | − | 0.00536338i | ||||
\(739\) | −1135.07 | − | 470.162i | −1.53596 | − | 0.636214i | −0.555247 | − | 0.831685i | \(-0.687376\pi\) |
−0.980709 | + | 0.195472i | \(0.937376\pi\) | |||||||
\(740\) | 343.988 | − | 830.462i | 0.464849 | − | 1.12225i | ||||
\(741\) | 161.185 | + | 810.331i | 0.217523 | + | 1.09356i | ||||
\(742\) | −0.849490 | + | 1.27135i | −0.00114486 | + | 0.00171341i | ||||
\(743\) | −219.382 | + | 1102.91i | −0.295266 | + | 1.48440i | 0.493521 | + | 0.869734i | \(0.335710\pi\) |
−0.788787 | + | 0.614667i | \(0.789290\pi\) | |||||||
\(744\) | −270.730 | − | 270.730i | −0.363884 | − | 0.363884i | ||||
\(745\) | −804.876 | − | 1204.58i | −1.08037 | − | 1.61689i | ||||
\(746\) | −360.419 | + | 149.290i | −0.483135 | + | 0.200121i | ||||
\(747\) | − | 272.561i | − | 0.364874i | ||||||
\(748\) | 245.053 | + | 284.125i | 0.327612 | + | 0.379847i | ||||
\(749\) | −134.262 | −0.179255 | ||||||||
\(750\) | −11.9076 | − | 28.7475i | −0.0158768 | − | 0.0383300i | ||||
\(751\) | 1063.32 | − | 710.490i | 1.41588 | − | 0.946059i | 0.416560 | − | 0.909108i | \(-0.363236\pi\) |
0.999317 | − | 0.0369501i | \(-0.0117643\pi\) | |||||||
\(752\) | −72.6478 | + | 72.6478i | −0.0966061 | + | 0.0966061i | ||||
\(753\) | −725.151 | − | 144.241i | −0.963016 | − | 0.191556i | ||||
\(754\) | 222.868 | + | 148.915i | 0.295580 | + | 0.197500i | ||||
\(755\) | 401.122 | − | 79.7881i | 0.531287 | − | 0.105680i | ||||
\(756\) | −68.5641 | − | 28.4002i | −0.0906933 | − | 0.0375664i | ||||
\(757\) | −75.7752 | + | 182.937i | −0.100099 | + | 0.241661i | −0.965994 | − | 0.258566i | \(-0.916750\pi\) |
0.865894 | + | 0.500227i | \(0.166750\pi\) | |||||||
\(758\) | 10.1804 | + | 51.1802i | 0.0134306 | + | 0.0675201i | ||||
\(759\) | −113.427 | + | 169.755i | −0.149443 | + | 0.223657i | ||||
\(760\) | −279.198 | + | 1403.62i | −0.367366 | + | 1.84687i | ||||
\(761\) | 380.948 | + | 380.948i | 0.500588 | + | 0.500588i | 0.911621 | − | 0.411032i | \(-0.134832\pi\) |
−0.411032 | + | 0.911621i | \(0.634832\pi\) | |||||||
\(762\) | −37.0701 | − | 55.4793i | −0.0486484 | − | 0.0728075i | ||||
\(763\) | 19.9427 | − | 8.26052i | 0.0261372 | − | 0.0108264i | ||||
\(764\) | − | 978.888i | − | 1.28127i | ||||||
\(765\) | −54.2433 | + | 734.654i | −0.0709063 | + | 0.960332i | ||||
\(766\) | 522.082 | 0.681570 | ||||||||
\(767\) | 196.614 | + | 474.669i | 0.256342 | + | 0.618864i | ||||
\(768\) | −122.208 | + | 81.6568i | −0.159125 | + | 0.106324i | ||||
\(769\) | −90.3571 | + | 90.3571i | −0.117500 | + | 0.117500i | −0.763412 | − | 0.645912i | \(-0.776477\pi\) |
0.645912 | + | 0.763412i | \(0.276477\pi\) | |||||||
\(770\) | −34.5546 | − | 6.87333i | −0.0448761 | − | 0.00892640i | ||||
\(771\) | −133.523 | − | 89.2169i | −0.173181 | − | 0.115716i | ||||
\(772\) | 181.377 | − | 36.0781i | 0.234944 | − | 0.0467333i | ||||
\(773\) | 134.981 | + | 55.9110i | 0.174620 | + | 0.0723298i | 0.468281 | − | 0.883580i | \(-0.344874\pi\) |
−0.293661 | + | 0.955910i | \(0.594874\pi\) | |||||||
\(774\) | 28.0341 | − | 67.6802i | 0.0362197 | − | 0.0874422i | ||||
\(775\) | 161.065 | + | 809.729i | 0.207826 | + | 1.04481i | ||||
\(776\) | 438.118 | − | 655.689i | 0.564585 | − | 0.844961i | ||||
\(777\) | 11.5292 | − | 57.9611i | 0.0148381 | − | 0.0745960i | ||||
\(778\) | 218.482 | + | 218.482i | 0.280825 | + | 0.280825i | ||||
\(779\) | 71.1386 | + | 106.466i | 0.0913204 | + | 0.136671i | ||||
\(780\) | 504.586 | − | 209.006i | 0.646905 | − | 0.267957i | ||||
\(781\) | − | 697.003i | − | 0.892450i | ||||||
\(782\) | −84.1248 | − | 254.710i | −0.107576 | − | 0.325716i | ||||
\(783\) | −529.641 | −0.676425 | ||||||||
\(784\) | 145.522 | + | 351.320i | 0.185614 | + | 0.448113i | ||||
\(785\) | 838.420 | − | 560.215i | 1.06805 | − | 0.713649i | ||||
\(786\) | −3.19244 | + | 3.19244i | −0.00406163 | + | 0.00406163i | ||||
\(787\) | −678.506 | − | 134.963i | −0.862142 | − | 0.171491i | −0.255834 | − | 0.966721i | \(-0.582350\pi\) |
−0.606308 | + | 0.795230i | \(0.707350\pi\) | |||||||
\(788\) | 10.2159 | + | 6.82608i | 0.0129644 | + | 0.00866254i | ||||
\(789\) | 143.902 | − | 28.6238i | 0.182385 | − | 0.0362786i | ||||
\(790\) | 349.725 | + | 144.861i | 0.442690 | + | 0.183368i | ||||
\(791\) | −16.7829 | + | 40.5176i | −0.0212174 | + | 0.0512232i | ||||
\(792\) | 51.3588 | + | 258.198i | 0.0648470 | + | 0.326008i | ||||
\(793\) | −294.576 | + | 440.864i | −0.371470 | + | 0.555944i | ||||
\(794\) | 9.95687 | − | 50.0566i | 0.0125401 | − | 0.0630436i | ||||
\(795\) | 15.7226 | + | 15.7226i | 0.0197768 | + | 0.0197768i | ||||
\(796\) | −271.573 | − | 406.438i | −0.341172 | − | 0.510601i | ||||
\(797\) | −997.012 | + | 412.976i | −1.25096 | + | 0.518163i | −0.907122 | − | 0.420867i | \(-0.861726\pi\) |
−0.343834 | + | 0.939030i | \(0.611726\pi\) | |||||||
\(798\) | 42.4006i | 0.0531336i | ||||||||
\(799\) | 213.284 | + | 59.0397i | 0.266938 | + | 0.0738919i | ||||
\(800\) | 681.198 | 0.851497 | ||||||||
\(801\) | 170.096 | + | 410.648i | 0.212355 | + | 0.512669i | ||||
\(802\) | −13.7229 | + | 9.16932i | −0.0171108 | + | 0.0114331i | ||||
\(803\) | 299.470 | − | 299.470i | 0.372938 | − | 0.372938i | ||||
\(804\) | 167.899 | + | 33.3972i | 0.208830 | + | 0.0415389i | ||||
\(805\) | −95.6178 | − | 63.8898i | −0.118780 | − | 0.0793662i | ||||
\(806\) | −472.283 | + | 93.9430i | −0.585959 | + | 0.116555i | ||||
\(807\) | 713.166 | + | 295.403i | 0.883725 | + | 0.366051i | ||||
\(808\) | 87.6688 | − | 211.651i | 0.108501 | − | 0.261945i | ||||
\(809\) | −111.178 | − | 558.928i | −0.137426 | − | 0.690887i | −0.986650 | − | 0.162855i | \(-0.947930\pi\) |
0.849224 | − | 0.528033i | \(-0.177070\pi\) | |||||||
\(810\) | −52.3607 | + | 78.3633i | −0.0646428 | + | 0.0967448i | ||||
\(811\) | 221.750 | − | 1114.81i | 0.273428 | − | 1.37461i | −0.562964 | − | 0.826481i | \(-0.690339\pi\) |
0.836392 | − | 0.548132i | \(-0.184661\pi\) | |||||||
\(812\) | −44.4090 | − | 44.4090i | −0.0546909 | − | 0.0546909i | ||||
\(813\) | 55.6664 | + | 83.3106i | 0.0684703 | + | 0.102473i | ||||
\(814\) | −211.168 | + | 87.4687i | −0.259420 | + | 0.107455i | ||||
\(815\) | 2216.43i | 2.71955i | ||||||||
\(816\) | −195.429 | − | 98.3880i | −0.239497 | − | 0.120574i | ||||
\(817\) | 462.332 | 0.565890 | ||||||||
\(818\) | 141.081 | + | 340.600i | 0.172471 | + | 0.416382i | ||||
\(819\) | −71.1792 | + | 47.5604i | −0.0869099 | + | 0.0580713i | ||||
\(820\) | 59.8526 | − | 59.8526i | 0.0729910 | − | 0.0729910i | ||||
\(821\) | −20.5375 | − | 4.08517i | −0.0250153 | − | 0.00497585i | 0.182567 | − | 0.983193i | \(-0.441559\pi\) |
−0.207582 | + | 0.978218i | \(0.566559\pi\) | |||||||
\(822\) | 103.401 | + | 69.0906i | 0.125792 | + | 0.0840518i | ||||
\(823\) | 1543.55 | − | 307.031i | 1.87551 | − | 0.373063i | 0.880606 | − | 0.473850i | \(-0.157136\pi\) |
0.994908 | + | 0.100787i | \(0.0321361\pi\) | |||||||
\(824\) | −313.169 | − | 129.719i | −0.380059 | − | 0.157426i | ||||
\(825\) | −91.1183 | + | 219.979i | −0.110446 | + | 0.266641i | ||||
\(826\) | 5.14393 | + | 25.8603i | 0.00622752 | + | 0.0313078i | ||||
\(827\) | 299.622 | − | 448.417i | 0.362300 | − | 0.542221i | −0.604878 | − | 0.796318i | \(-0.706778\pi\) |
0.967179 | + | 0.254097i | \(0.0817783\pi\) | |||||||
\(828\) | −75.5463 | + | 379.797i | −0.0912395 | + | 0.458692i | ||||
\(829\) | −145.931 | − | 145.931i | −0.176032 | − | 0.176032i | 0.613591 | − | 0.789624i | \(-0.289724\pi\) |
−0.789624 | + | 0.613591i | \(0.789724\pi\) | |||||||
\(830\) | 138.369 | + | 207.084i | 0.166710 | + | 0.249499i | ||||
\(831\) | −224.744 | + | 93.0922i | −0.270451 | + | 0.112024i | ||||
\(832\) | − | 74.1411i | − | 0.0891119i | ||||||
\(833\) | 503.985 | − | 645.703i | 0.605024 | − | 0.775154i | ||||
\(834\) | −179.940 | −0.215755 | ||||||||
\(835\) | −412.428 | − | 995.689i | −0.493926 | − | 1.19244i | ||||
\(836\) | −622.545 | + | 415.971i | −0.744671 | + | 0.497573i | ||||
\(837\) | 672.813 | − | 672.813i | 0.803839 | − | 0.803839i | ||||
\(838\) | −67.3212 | − | 13.3910i | −0.0803355 | − | 0.0159797i | ||||
\(839\) | −587.153 | − | 392.323i | −0.699824 | − | 0.467608i | 0.154066 | − | 0.988061i | \(-0.450763\pi\) |
−0.853890 | + | 0.520453i | \(0.825763\pi\) | |||||||
\(840\) | 61.0015 | − | 12.1339i | 0.0726208 | − | 0.0144452i | ||||
\(841\) | 362.887 | + | 150.313i | 0.431494 | + | 0.178731i | ||||
\(842\) | −96.8532 | + | 233.824i | −0.115028 | + | 0.277701i | ||||
\(843\) | −10.8022 | − | 54.3063i | −0.0128140 | − | 0.0644203i | ||||
\(844\) | −541.233 | + | 810.012i | −0.641271 | + | 0.959730i | ||||
\(845\) | 72.0428 | − | 362.183i | 0.0852577 | − | 0.428620i | ||||
\(846\) | 49.4792 | + | 49.4792i | 0.0584861 | + | 0.0584861i | ||||
\(847\) | 38.0506 | + | 56.9468i | 0.0449240 | + | 0.0672335i | ||||
\(848\) | 14.5466 | − | 6.02541i | 0.0171540 | − | 0.00710544i | ||||
\(849\) | − | 308.326i | − | 0.363163i | ||||||
\(850\) | −154.177 | − | 272.205i | −0.181385 | − | 0.320241i | ||||
\(851\) | −746.060 | −0.876686 | ||||||||
\(852\) | 212.201 | + | 512.298i | 0.249062 | + | 0.601289i | ||||
\(853\) | −940.733 | + | 628.578i | −1.10285 | + | 0.736903i | −0.967241 | − | 0.253860i | \(-0.918300\pi\) |
−0.135612 | + | 0.990762i | \(0.543300\pi\) | |||||||
\(854\) | −19.2410 | + | 19.2410i | −0.0225304 | + | 0.0225304i | ||||
\(855\) | −1441.76 | − | 286.784i | −1.68627 | − | 0.335420i | ||||
\(856\) | −762.227 | − | 509.304i | −0.890452 | − | 0.594981i | ||||
\(857\) | −1477.19 | + | 293.831i | −1.72368 | + | 0.342860i | −0.954961 | − | 0.296732i | \(-0.904103\pi\) |
−0.768715 | + | 0.639592i | \(0.779103\pi\) | |||||||
\(858\) | −128.305 | − | 53.1457i | −0.149540 | − | 0.0619414i | ||||
\(859\) | −39.2673 | + | 94.7998i | −0.0457129 | + | 0.110361i | −0.945087 | − | 0.326820i | \(-0.894023\pi\) |
0.899374 | + | 0.437181i | \(0.144023\pi\) | |||||||
\(860\) | −59.6240 | − | 299.750i | −0.0693303 | − | 0.348547i | ||||
\(861\) | 3.09169 | − | 4.62704i | 0.00359081 | − | 0.00537403i | ||||
\(862\) | 99.4434 | − | 499.936i | 0.115364 | − | 0.579972i | ||||
\(863\) | −533.064 | − | 533.064i | −0.617687 | − | 0.617687i | 0.327250 | − | 0.944938i | \(-0.393878\pi\) |
−0.944938 | + | 0.327250i | \(0.893878\pi\) | |||||||
\(864\) | −436.170 | − | 652.774i | −0.504826 | − | 0.755526i | ||||
\(865\) | 1037.73 | − | 429.840i | 1.19968 | − | 0.496925i | ||||
\(866\) | − | 372.300i | − | 0.429907i | ||||||
\(867\) | 23.0593 | + | 470.734i | 0.0265966 | + | 0.542946i | ||||
\(868\) | 112.827 | 0.129985 | ||||||||
\(869\) | 168.175 | + | 406.010i | 0.193527 | + | 0.467215i | ||||
\(870\) | 166.322 | − | 111.133i | 0.191175 | − | 0.127739i | ||||
\(871\) | 337.832 | − | 337.832i | 0.387866 | − | 0.387866i | ||||
\(872\) | 144.553 | + | 28.7534i | 0.165772 | + | 0.0329740i | ||||
\(873\) | 673.506 | + | 450.022i | 0.771484 | + | 0.515489i | ||||
\(874\) | 524.998 | − | 104.429i | 0.600684 | − | 0.119483i | ||||
\(875\) | 18.7986 | + | 7.78664i | 0.0214841 | + | 0.00889902i | ||||
\(876\) | −128.938 | + | 311.283i | −0.147189 | + | 0.355346i | ||||
\(877\) | 173.231 | + | 870.893i | 0.197527 | + | 0.993036i | 0.944582 | + | 0.328274i | \(0.106467\pi\) |
−0.747055 | + | 0.664762i | \(0.768533\pi\) | |||||||
\(878\) | −300.879 | + | 450.297i | −0.342687 | + | 0.512867i | ||||
\(879\) | −56.3077 | + | 283.078i | −0.0640589 | + | 0.322046i | ||||
\(880\) | 256.534 | + | 256.534i | 0.291516 | + | 0.291516i | ||||
\(881\) | 850.061 | + | 1272.21i | 0.964882 | + | 1.44405i | 0.894780 | + | 0.446508i | \(0.147333\pi\) |
0.0701022 | + | 0.997540i | \(0.477667\pi\) | |||||||
\(882\) | 239.278 | − | 99.1124i | 0.271291 | − | 0.112372i | ||||
\(883\) | − | 625.063i | − | 0.707885i | −0.935267 | − | 0.353943i | \(-0.884841\pi\) | ||
0.935267 | − | 0.353943i | \(-0.115159\pi\) | |||||||
\(884\) | −724.871 | + | 410.567i | −0.819990 | + | 0.464442i | ||||
\(885\) | 383.423 | 0.433247 | ||||||||
\(886\) | −25.9224 | − | 62.5822i | −0.0292578 | − | 0.0706345i | ||||
\(887\) | −24.3095 | + | 16.2431i | −0.0274064 | + | 0.0183124i | −0.569198 | − | 0.822200i | \(-0.692746\pi\) |
0.541792 | + | 0.840513i | \(0.317746\pi\) | |||||||
\(888\) | 285.320 | − | 285.320i | 0.321307 | − | 0.321307i | ||||
\(889\) | 42.7942 | + | 8.51229i | 0.0481374 | + | 0.00957513i | ||||
\(890\) | −337.706 | − | 225.648i | −0.379444 | − | 0.253537i | ||||
\(891\) | −107.313 | + | 21.3458i | −0.120441 | + | 0.0239571i | ||||
\(892\) | −273.007 | − | 113.083i | −0.306062 | − | 0.126775i | ||||
\(893\) | −168.999 | + | 408.001i | −0.189249 | + | 0.456888i | ||||
\(894\) | −57.1751 | − | 287.438i | −0.0639542 | − | 0.321520i | ||||
\(895\) | 736.880 | − | 1102.82i | 0.823330 | − | 1.23220i | ||||
\(896\) | 22.8819 | − | 115.035i | 0.0255379 | − | 0.128388i | ||||
\(897\) | −320.534 | − | 320.534i | −0.357340 | − | 0.357340i | ||||
\(898\) | 69.3499 | + | 103.789i | 0.0772271 | + | 0.115578i | ||||
\(899\) | 743.925 | − | 308.144i | 0.827503 | − | 0.342763i | ||||
\(900\) | 451.613i | 0.501792i | ||||||||
\(901\) | −26.7357 | − | 20.8678i | −0.0296734 | − | 0.0231607i | ||||
\(902\) | −21.5232 | −0.0238616 | ||||||||
\(903\) | −7.68925 | − | 18.5635i | −0.00851522 | − | 0.0205576i | ||||
\(904\) | −248.977 | + | 166.361i | −0.275417 | + | 0.184028i | ||||
\(905\) | −241.376 | + | 241.376i | −0.266714 | + | 0.266714i | ||||
\(906\) | 81.1442 | + | 16.1406i | 0.0895631 | + | 0.0178152i | ||||
\(907\) | 848.139 | + | 566.708i | 0.935104 | + | 0.624816i | 0.926964 | − | 0.375151i | \(-0.122409\pi\) |
0.00813978 | + | 0.999967i | \(0.497409\pi\) | |||||||
\(908\) | −480.069 | + | 95.4916i | −0.528710 | + | 0.105167i | ||||
\(909\) | 217.402 | + | 90.0509i | 0.239166 | + | 0.0990659i | ||||
\(910\) | 29.9353 | − | 72.2702i | 0.0328959 | − | 0.0794178i | ||||
\(911\) | −281.322 | − | 1414.30i | −0.308805 | − | 1.55247i | −0.753902 | − | 0.656987i | \(-0.771831\pi\) |
0.445097 | − | 0.895483i | \(-0.353169\pi\) | |||||||
\(912\) | 242.571 | − | 363.033i | 0.265977 | − | 0.398063i | ||||
\(913\) | −56.4088 | + | 283.586i | −0.0617840 | + | 0.310609i | ||||
\(914\) | 386.586 | + | 386.586i | 0.422960 | + | 0.422960i | ||||
\(915\) | 219.837 | + | 329.009i | 0.240259 | + | 0.359572i | ||||
\(916\) | 415.065 | − | 171.926i | 0.453128 | − | 0.187692i | ||||
\(917\) | − | 2.95232i | − | 0.00321954i | ||||||
\(918\) | −162.128 | + | 322.036i | −0.176610 | + | 0.350802i | ||||
\(919\) | 811.637 | 0.883175 | 0.441587 | − | 0.897218i | \(-0.354416\pi\) | ||||
0.441587 | + | 0.897218i | \(0.354416\pi\) | |||||||
\(920\) | −300.481 | − | 725.426i | −0.326610 | − | 0.788506i | ||||
\(921\) | −499.177 | + | 333.540i | −0.541995 | + | 0.362149i | ||||
\(922\) | −153.702 | + | 153.702i | −0.166705 | + | 0.166705i | ||||
\(923\) | 1517.82 | + | 301.914i | 1.64445 | + | 0.327101i | ||||
\(924\) | 27.0558 | + | 18.0781i | 0.0292812 | + | 0.0195651i | ||||
\(925\) | −853.369 | + | 169.746i | −0.922561 | + | 0.183509i | ||||
\(926\) | 468.395 | + | 194.016i | 0.505826 | + | 0.209520i | ||||
\(927\) | 133.244 | − | 321.678i | 0.143736 | − | 0.347010i | ||||
\(928\) | −129.615 | − | 651.621i | −0.139672 | − | 0.702178i | ||||
\(929\) | −32.1049 | + | 48.0484i | −0.0345586 | + | 0.0517206i | −0.848347 | − | 0.529441i | \(-0.822402\pi\) |
0.813788 | + | 0.581162i | \(0.197402\pi\) | |||||||
\(930\) | −70.1080 | + | 352.457i | −0.0753849 | + | 0.378986i | ||||
\(931\) | 1155.80 | + | 1155.80i | 1.24146 | + | 1.24146i | ||||
\(932\) | 650.461 | + | 973.483i | 0.697919 | + | 1.04451i | ||||
\(933\) | −158.330 | + | 65.5824i | −0.169700 | + | 0.0702920i | ||||
\(934\) | 430.720i | 0.461156i | ||||||||
\(935\) | 208.481 | − | 753.146i | 0.222974 | − | 0.805504i | ||||
\(936\) | −584.510 | −0.624476 | ||||||||
\(937\) | −571.943 | − | 1380.79i | −0.610398 | − | 1.47363i | −0.862565 | − | 0.505946i | \(-0.831143\pi\) |
0.252167 | − | 0.967684i | \(-0.418857\pi\) | |||||||
\(938\) | 20.3866 | − | 13.6219i | 0.0217341 | − | 0.0145223i | ||||
\(939\) | −500.340 | + | 500.340i | −0.532844 | + | 0.532844i | ||||
\(940\) | 286.320 | + | 56.9525i | 0.304595 | + | 0.0605878i | ||||
\(941\) | 834.402 | + | 557.530i | 0.886719 | + | 0.592487i | 0.913357 | − | 0.407159i | \(-0.133480\pi\) |
−0.0266387 | + | 0.999645i | \(0.508480\pi\) | |||||||
\(942\) | 200.065 | − | 39.7953i | 0.212383 | − | 0.0422456i | ||||
\(943\) | −64.9057 | − | 26.8848i | −0.0688290 | − | 0.0285099i | ||||
\(944\) | 103.903 | − | 250.843i | 0.110066 | − | 0.265724i | ||||
\(945\) | 30.1551 | + | 151.600i | 0.0319101 | + | 0.160423i | ||||
\(946\) | −43.1751 | + | 64.6161i | −0.0456396 | + | 0.0683045i | ||||
\(947\) | 271.675 | − | 1365.80i | 0.286879 | − | 1.44224i | −0.521336 | − | 0.853352i | \(-0.674566\pi\) |
0.808215 | − | 0.588888i | \(-0.200434\pi\) | |||||||
\(948\) | −247.217 | − | 247.217i | −0.260778 | − | 0.260778i | ||||
\(949\) | 522.419 | + | 781.856i | 0.550495 | + | 0.823873i | ||||
\(950\) | 576.750 | − | 238.898i | 0.607105 | − | 0.251471i | ||||
\(951\) | − | 854.550i | − | 0.898580i | ||||||
\(952\) | −90.0835 | + | 29.7525i | −0.0946255 | + | 0.0312527i | ||||
\(953\) | −1378.59 | −1.44658 | −0.723292 | − | 0.690543i | \(-0.757372\pi\) | ||||
−0.723292 | + | 0.690543i | \(0.757372\pi\) | |||||||
\(954\) | −4.10381 | − | 9.90747i | −0.00430169 | − | 0.0103852i | ||||
\(955\) | −1695.21 | + | 1132.70i | −1.77509 | + | 1.18607i | ||||
\(956\) | −923.635 | + | 923.635i | −0.966145 | + | 0.966145i | ||||
\(957\) | 227.765 | + | 45.3054i | 0.237999 | + | 0.0473410i | ||||
\(958\) | −279.644 | − | 186.852i | −0.291904 | − | 0.195044i | ||||
\(959\) | −79.7590 | + | 15.8650i | −0.0831689 | + | 0.0165433i | ||||
\(960\) | −51.1184 | − | 21.1739i | −0.0532483 | − | 0.0220562i | ||||
\(961\) | −185.823 | + | 448.616i | −0.193364 | + | 0.466822i | ||||
\(962\) | −99.0060 | − | 497.737i | −0.102917 | − | 0.517398i | ||||
\(963\) | 523.143 | − | 782.938i | 0.543243 | − | 0.813020i | ||||
\(964\) | −50.7924 | + | 255.351i | −0.0526892 | + | 0.264887i | ||||
\(965\) | −272.356 | − | 272.356i | −0.282234 | − | 0.282234i | ||||
\(966\) | −12.9245 | − | 19.3428i | −0.0133794 | − | 0.0200236i | ||||
\(967\) | −964.483 | + | 399.502i | −0.997398 | + | 0.413136i | −0.820842 | − | 0.571155i | \(-0.806495\pi\) |
−0.176555 | + | 0.984291i | \(0.556495\pi\) | |||||||
\(968\) | 467.636i | 0.483095i | ||||||||
\(969\) | −937.933 | − | 69.2524i | −0.967939 | − | 0.0714679i | ||||
\(970\) | −740.172 | −0.763064 | ||||||||
\(971\) | −68.3025 | − | 164.897i | −0.0703424 | − | 0.169822i | 0.884798 | − | 0.465975i | \(-0.154296\pi\) |
−0.955141 | + | 0.296153i | \(0.904296\pi\) | |||||||
\(972\) | 686.667 | − | 458.816i | 0.706447 | − | 0.472033i | ||||
\(973\) | 83.2028 | − | 83.2028i | 0.0855116 | − | 0.0855116i | ||||
\(974\) | 320.872 | + | 63.8254i | 0.329437 | + | 0.0655292i | ||||
\(975\) | −439.567 | − | 293.709i | −0.450838 | − | 0.301240i | ||||
\(976\) | 274.817 | − | 54.6645i | 0.281575 | − | 0.0560087i | ||||
\(977\) | 1094.70 | + | 453.439i | 1.12047 | + | 0.464113i | 0.864531 | − | 0.502580i | \(-0.167616\pi\) |
0.255938 | + | 0.966693i | \(0.417616\pi\) | |||||||
\(978\) | −171.583 | + | 414.239i | −0.175443 | + | 0.423557i | ||||
\(979\) | −91.9894 | − | 462.462i | −0.0939626 | − | 0.472382i | ||||
\(980\) | 600.297 | − | 898.408i | 0.612548 | − | 0.916743i | ||||
\(981\) | −29.5346 | + | 148.481i | −0.0301067 | + | 0.151356i | ||||
\(982\) | 279.500 | + | 279.500i | 0.284623 | + | 0.284623i | ||||
\(983\) | −876.560 | − | 1311.86i | −0.891719 | − | 1.33455i | −0.941929 | − | 0.335813i | \(-0.890989\pi\) |
0.0502093 | − | 0.998739i | \(-0.484011\pi\) | |||||||
\(984\) | 35.1040 | − | 14.5406i | 0.0356748 | − | 0.0147770i | ||||
\(985\) | − | 25.5903i | − | 0.0259800i | ||||||
\(986\) | −231.050 | + | 199.277i | −0.234331 | + | 0.202106i | ||||
\(987\) | 19.1927 | 0.0194455 | ||||||||
\(988\) | −636.175 | − | 1535.86i | −0.643902 | − | 1.55452i | ||||
\(989\) | −210.912 | + | 140.927i | −0.213258 | + | 0.142494i | ||||
\(990\) | 174.721 | − | 174.721i | 0.176486 | − | 0.176486i | ||||
\(991\) | −891.097 | − | 177.250i | −0.899190 | − | 0.178860i | −0.276209 | − | 0.961098i | \(-0.589078\pi\) |
−0.622980 | + | 0.782238i | \(0.714078\pi\) | |||||||
\(992\) | 992.420 | + | 663.114i | 1.00042 | + | 0.668462i | ||||
\(993\) | 562.788 | − | 111.945i | 0.566755 | − | 0.112735i | ||||
\(994\) | 73.3747 | + | 30.3928i | 0.0738176 | + | 0.0305763i | ||||
\(995\) | −389.611 | + | 940.604i | −0.391569 | + | 0.945330i | ||||
\(996\) | −44.8765 | − | 225.609i | −0.0450567 | − | 0.226515i | ||||
\(997\) | −965.850 | + | 1445.50i | −0.968757 | + | 1.44985i | −0.0771586 | + | 0.997019i | \(0.524585\pi\) |
−0.891598 | + | 0.452828i | \(0.850415\pi\) | |||||||
\(998\) | −30.2408 | + | 152.031i | −0.0303014 | + | 0.152335i | ||||
\(999\) | 709.074 | + | 709.074i | 0.709783 | + | 0.709783i |
(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 | 17.3.e.b.12.1 | yes | 8 | |
3.2 | odd | 2 | 153.3.p.a.46.1 | 8 | |||
4.3 | odd | 2 | 272.3.bh.b.97.1 | 8 | |||
5.2 | odd | 4 | 425.3.t.b.199.1 | 8 | |||
5.3 | odd | 4 | 425.3.t.d.199.1 | 8 | |||
5.4 | even | 2 | 425.3.u.a.301.1 | 8 | |||
17.2 | even | 8 | 289.3.e.a.65.1 | 8 | |||
17.3 | odd | 16 | 289.3.e.j.40.1 | 8 | |||
17.4 | even | 4 | 289.3.e.f.158.1 | 8 | |||
17.5 | odd | 16 | 289.3.e.a.249.1 | 8 | |||
17.6 | odd | 16 | 289.3.e.h.75.1 | 8 | |||
17.7 | odd | 16 | 289.3.e.g.214.1 | 8 | |||
17.8 | even | 8 | 289.3.e.n.224.1 | 8 | |||
17.9 | even | 8 | 289.3.e.j.224.1 | 8 | |||
17.10 | odd | 16 | inner | 17.3.e.b.10.1 | ✓ | 8 | |
17.11 | odd | 16 | 289.3.e.f.75.1 | 8 | |||
17.12 | odd | 16 | 289.3.e.e.249.1 | 8 | |||
17.13 | even | 4 | 289.3.e.h.158.1 | 8 | |||
17.14 | odd | 16 | 289.3.e.n.40.1 | 8 | |||
17.15 | even | 8 | 289.3.e.e.65.1 | 8 | |||
17.16 | even | 2 | 289.3.e.g.131.1 | 8 | |||
51.44 | even | 16 | 153.3.p.a.10.1 | 8 | |||
68.27 | even | 16 | 272.3.bh.b.129.1 | 8 | |||
85.27 | even | 16 | 425.3.t.d.299.1 | 8 | |||
85.44 | odd | 16 | 425.3.u.a.401.1 | 8 | |||
85.78 | even | 16 | 425.3.t.b.299.1 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
17.3.e.b.10.1 | ✓ | 8 | 17.10 | odd | 16 | inner | |
17.3.e.b.12.1 | yes | 8 | 1.1 | even | 1 | trivial | |
153.3.p.a.10.1 | 8 | 51.44 | even | 16 | |||
153.3.p.a.46.1 | 8 | 3.2 | odd | 2 | |||
272.3.bh.b.97.1 | 8 | 4.3 | odd | 2 | |||
272.3.bh.b.129.1 | 8 | 68.27 | even | 16 | |||
289.3.e.a.65.1 | 8 | 17.2 | even | 8 | |||
289.3.e.a.249.1 | 8 | 17.5 | odd | 16 | |||
289.3.e.e.65.1 | 8 | 17.15 | even | 8 | |||
289.3.e.e.249.1 | 8 | 17.12 | odd | 16 | |||
289.3.e.f.75.1 | 8 | 17.11 | odd | 16 | |||
289.3.e.f.158.1 | 8 | 17.4 | even | 4 | |||
289.3.e.g.131.1 | 8 | 17.16 | even | 2 | |||
289.3.e.g.214.1 | 8 | 17.7 | odd | 16 | |||
289.3.e.h.75.1 | 8 | 17.6 | odd | 16 | |||
289.3.e.h.158.1 | 8 | 17.13 | even | 4 | |||
289.3.e.j.40.1 | 8 | 17.3 | odd | 16 | |||
289.3.e.j.224.1 | 8 | 17.9 | even | 8 | |||
289.3.e.n.40.1 | 8 | 17.14 | odd | 16 | |||
289.3.e.n.224.1 | 8 | 17.8 | even | 8 | |||
425.3.t.b.199.1 | 8 | 5.2 | odd | 4 | |||
425.3.t.b.299.1 | 8 | 85.78 | even | 16 | |||
425.3.t.d.199.1 | 8 | 5.3 | odd | 4 | |||
425.3.t.d.299.1 | 8 | 85.27 | even | 16 | |||
425.3.u.a.301.1 | 8 | 5.4 | even | 2 | |||
425.3.u.a.401.1 | 8 | 85.44 | odd | 16 |