Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,3,Mod(13,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 19]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.k (of order \(20\), 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: | \(4.08720396540\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 13.2 | ||
Character | \(\chi\) | \(=\) | 150.13 |
Dual form | 150.3.k.b.127.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{19}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39680 | + | 0.221232i | −0.698401 | + | 0.110616i | ||||
\(3\) | −0.786335 | + | 1.54327i | −0.262112 | + | 0.514423i | ||||
\(4\) | 1.90211 | − | 0.618034i | 0.475528 | − | 0.154508i | ||||
\(5\) | 0.283257 | − | 4.99197i | 0.0566514 | − | 0.998394i | ||||
\(6\) | 0.756934 | − | 2.32960i | 0.126156 | − | 0.388267i | ||||
\(7\) | −6.64753 | + | 6.64753i | −0.949648 | + | 0.949648i | −0.998792 | − | 0.0491440i | \(-0.984351\pi\) |
0.0491440 | + | 0.998792i | \(0.484351\pi\) | |||||||
\(8\) | −2.52015 | + | 1.28408i | −0.315018 | + | 0.160510i | ||||
\(9\) | −1.76336 | − | 2.42705i | −0.195928 | − | 0.269672i | ||||
\(10\) | 0.708728 | + | 7.03546i | 0.0708728 | + | 0.703546i | ||||
\(11\) | 4.00165 | + | 2.90737i | 0.363787 | + | 0.264307i | 0.754630 | − | 0.656151i | \(-0.227816\pi\) |
−0.390843 | + | 0.920457i | \(0.627816\pi\) | |||||||
\(12\) | −0.541905 | + | 3.42145i | −0.0451587 | + | 0.285121i | ||||
\(13\) | −20.2108 | − | 3.20107i | −1.55467 | − | 0.246236i | −0.680830 | − | 0.732441i | \(-0.738381\pi\) |
−0.873845 | + | 0.486205i | \(0.838381\pi\) | |||||||
\(14\) | 7.81464 | − | 10.7559i | 0.558189 | − | 0.768281i | ||||
\(15\) | 7.48122 | + | 4.36250i | 0.498748 | + | 0.290833i | ||||
\(16\) | 3.23607 | − | 2.35114i | 0.202254 | − | 0.146946i | ||||
\(17\) | −8.04607 | − | 15.7913i | −0.473298 | − | 0.928900i | −0.997030 | − | 0.0770170i | \(-0.975460\pi\) |
0.523731 | − | 0.851883i | \(-0.324540\pi\) | |||||||
\(18\) | 3.00000 | + | 3.00000i | 0.166667 | + | 0.166667i | ||||
\(19\) | −23.0111 | − | 7.47675i | −1.21111 | − | 0.393513i | −0.367272 | − | 0.930114i | \(-0.619708\pi\) |
−0.843836 | + | 0.536601i | \(0.819708\pi\) | |||||||
\(20\) | −2.54642 | − | 9.67035i | −0.127321 | − | 0.483518i | ||||
\(21\) | −5.03174 | − | 15.4861i | −0.239607 | − | 0.737434i | ||||
\(22\) | −6.23272 | − | 3.17573i | −0.283306 | − | 0.144351i | ||||
\(23\) | 0.111675 | + | 0.705088i | 0.00485543 | + | 0.0306560i | 0.989997 | − | 0.141088i | \(-0.0450599\pi\) |
−0.985142 | + | 0.171744i | \(0.945060\pi\) | |||||||
\(24\) | − | 4.89898i | − | 0.204124i | ||||||
\(25\) | −24.8395 | − | 2.82802i | −0.993581 | − | 0.113121i | ||||
\(26\) | 28.9386 | 1.11302 | ||||||||
\(27\) | 5.13218 | − | 0.812857i | 0.190081 | − | 0.0301058i | ||||
\(28\) | −8.53596 | + | 16.7528i | −0.304856 | + | 0.598313i | ||||
\(29\) | −19.2498 | + | 6.25465i | −0.663787 | + | 0.215678i | −0.621484 | − | 0.783427i | \(-0.713470\pi\) |
−0.0423037 | + | 0.999105i | \(0.513470\pi\) | |||||||
\(30\) | −11.4149 | − | 4.43847i | −0.380497 | − | 0.147949i | ||||
\(31\) | 3.15087 | − | 9.69738i | 0.101641 | − | 0.312819i | −0.887286 | − | 0.461219i | \(-0.847412\pi\) |
0.988927 | + | 0.148400i | \(0.0474123\pi\) | |||||||
\(32\) | −4.00000 | + | 4.00000i | −0.125000 | + | 0.125000i | ||||
\(33\) | −7.63350 | + | 3.88946i | −0.231318 | + | 0.117862i | ||||
\(34\) | 14.7323 | + | 20.2773i | 0.433303 | + | 0.596391i | ||||
\(35\) | 31.3013 | + | 35.0673i | 0.894324 | + | 1.00192i | ||||
\(36\) | −4.85410 | − | 3.52671i | −0.134836 | − | 0.0979642i | ||||
\(37\) | −5.87948 | + | 37.1216i | −0.158905 | + | 1.00329i | 0.771360 | + | 0.636398i | \(0.219577\pi\) |
−0.930265 | + | 0.366887i | \(0.880423\pi\) | |||||||
\(38\) | 33.7960 | + | 5.35276i | 0.889368 | + | 0.140862i | ||||
\(39\) | 20.8325 | − | 28.6735i | 0.534168 | − | 0.735219i | ||||
\(40\) | 5.69623 | + | 12.9442i | 0.142406 | + | 0.323606i | ||||
\(41\) | 25.2600 | − | 18.3525i | 0.616099 | − | 0.447622i | −0.235458 | − | 0.971885i | \(-0.575659\pi\) |
0.851557 | + | 0.524263i | \(0.175659\pi\) | |||||||
\(42\) | 10.4544 | + | 20.5179i | 0.248914 | + | 0.488520i | ||||
\(43\) | 53.1919 | + | 53.1919i | 1.23702 | + | 1.23702i | 0.961213 | + | 0.275809i | \(0.0889456\pi\) |
0.275809 | + | 0.961213i | \(0.411054\pi\) | |||||||
\(44\) | 9.40845 | + | 3.05699i | 0.213828 | + | 0.0694771i | ||||
\(45\) | −12.6152 | + | 8.11514i | −0.280339 | + | 0.180336i | ||||
\(46\) | −0.311976 | − | 0.960163i | −0.00678208 | − | 0.0208731i | ||||
\(47\) | −35.6998 | − | 18.1900i | −0.759570 | − | 0.387020i | 0.0308988 | − | 0.999523i | \(-0.490163\pi\) |
−0.790469 | + | 0.612502i | \(0.790163\pi\) | |||||||
\(48\) | 1.08381 | + | 6.84291i | 0.0225794 | + | 0.142561i | ||||
\(49\) | − | 39.3794i | − | 0.803661i | ||||||
\(50\) | 35.3216 | − | 1.54511i | 0.706431 | − | 0.0309021i | ||||
\(51\) | 30.6971 | 0.601905 | ||||||||
\(52\) | −40.4215 | + | 6.40214i | −0.777337 | + | 0.123118i | ||||
\(53\) | 6.16277 | − | 12.0951i | 0.116279 | − | 0.228210i | −0.825531 | − | 0.564357i | \(-0.809124\pi\) |
0.941809 | + | 0.336147i | \(0.109124\pi\) | |||||||
\(54\) | −6.98881 | + | 2.27080i | −0.129422 | + | 0.0420519i | ||||
\(55\) | 15.6470 | − | 19.1526i | 0.284491 | − | 0.348229i | ||||
\(56\) | 8.21680 | − | 25.2887i | 0.146729 | − | 0.451584i | ||||
\(57\) | 29.6330 | − | 29.6330i | 0.519878 | − | 0.519878i | ||||
\(58\) | 25.5045 | − | 12.9952i | 0.439732 | − | 0.224055i | ||||
\(59\) | −41.6075 | − | 57.2678i | −0.705211 | − | 0.970640i | −0.999887 | − | 0.0150428i | \(-0.995212\pi\) |
0.294675 | − | 0.955597i | \(-0.404788\pi\) | |||||||
\(60\) | 16.9263 | + | 3.67432i | 0.282105 | + | 0.0612387i | ||||
\(61\) | 81.3921 | + | 59.1348i | 1.33430 | + | 0.969424i | 0.999633 | + | 0.0270860i | \(0.00862280\pi\) |
0.334664 | + | 0.942338i | \(0.391377\pi\) | |||||||
\(62\) | −2.25577 | + | 14.2424i | −0.0363834 | + | 0.229716i | ||||
\(63\) | 27.8559 | + | 4.41194i | 0.442157 | + | 0.0700307i | ||||
\(64\) | 4.70228 | − | 6.47214i | 0.0734732 | − | 0.101127i | ||||
\(65\) | −21.7045 | + | 99.9849i | −0.333915 | + | 1.53823i | ||||
\(66\) | 9.80201 | − | 7.12158i | 0.148515 | − | 0.107903i | ||||
\(67\) | −14.9377 | − | 29.3169i | −0.222951 | − | 0.437566i | 0.752253 | − | 0.658875i | \(-0.228967\pi\) |
−0.975204 | + | 0.221309i | \(0.928967\pi\) | |||||||
\(68\) | −25.0641 | − | 25.0641i | −0.368590 | − | 0.368590i | ||||
\(69\) | −1.17595 | − | 0.382091i | −0.0170428 | − | 0.00553755i | ||||
\(70\) | −51.4798 | − | 42.0572i | −0.735425 | − | 0.600817i | ||||
\(71\) | 37.2072 | + | 114.512i | 0.524044 | + | 1.61284i | 0.766198 | + | 0.642605i | \(0.222146\pi\) |
−0.242153 | + | 0.970238i | \(0.577854\pi\) | |||||||
\(72\) | 7.56044 | + | 3.85224i | 0.105006 | + | 0.0535033i | ||||
\(73\) | 7.63042 | + | 48.1766i | 0.104526 | + | 0.659953i | 0.983200 | + | 0.182530i | \(0.0584288\pi\) |
−0.878674 | + | 0.477422i | \(0.841571\pi\) | |||||||
\(74\) | − | 53.1522i | − | 0.718273i | ||||||
\(75\) | 23.8966 | − | 36.1103i | 0.318621 | − | 0.481471i | ||||
\(76\) | −48.3905 | −0.636717 | ||||||||
\(77\) | −45.9280 | + | 7.27428i | −0.596467 | + | 0.0944712i | ||||
\(78\) | −22.7554 | + | 44.6601i | −0.291737 | + | 0.572565i | ||||
\(79\) | −116.292 | + | 37.7855i | −1.47205 | + | 0.478297i | −0.931726 | − | 0.363162i | \(-0.881697\pi\) |
−0.540321 | + | 0.841459i | \(0.681697\pi\) | |||||||
\(80\) | −10.8202 | − | 16.8203i | −0.135252 | − | 0.210254i | ||||
\(81\) | −2.78115 | + | 8.55951i | −0.0343352 | + | 0.105673i | ||||
\(82\) | −31.2231 | + | 31.2231i | −0.380770 | + | 0.380770i | ||||
\(83\) | 20.7154 | − | 10.5550i | 0.249583 | − | 0.127169i | −0.324724 | − | 0.945809i | \(-0.605272\pi\) |
0.574307 | + | 0.818640i | \(0.305272\pi\) | |||||||
\(84\) | −19.1419 | − | 26.3466i | −0.227880 | − | 0.313649i | ||||
\(85\) | −81.1088 | + | 35.6928i | −0.954222 | + | 0.419915i | ||||
\(86\) | −86.0663 | − | 62.5308i | −1.00077 | − | 0.727103i | ||||
\(87\) | 5.48420 | − | 34.6259i | 0.0630368 | − | 0.397999i | ||||
\(88\) | −13.8181 | − | 2.18856i | −0.157023 | − | 0.0248701i | ||||
\(89\) | 76.6653 | − | 105.521i | 0.861408 | − | 1.18563i | −0.119824 | − | 0.992795i | \(-0.538233\pi\) |
0.981232 | − | 0.192832i | \(-0.0617671\pi\) | |||||||
\(90\) | 15.8257 | − | 14.1261i | 0.175841 | − | 0.156957i | ||||
\(91\) | 155.631 | − | 113.073i | 1.71023 | − | 1.24256i | ||||
\(92\) | 0.648187 | + | 1.27214i | 0.00704551 | + | 0.0138276i | ||||
\(93\) | 12.4880 | + | 12.4880i | 0.134280 | + | 0.134280i | ||||
\(94\) | 53.8897 | + | 17.5098i | 0.573295 | + | 0.186275i | ||||
\(95\) | −43.8417 | + | 112.753i | −0.461492 | + | 1.18687i | ||||
\(96\) | −3.02774 | − | 9.31841i | −0.0315389 | − | 0.0970668i | ||||
\(97\) | −85.1358 | − | 43.3789i | −0.877689 | − | 0.447205i | −0.0437379 | − | 0.999043i | \(-0.513927\pi\) |
−0.833951 | + | 0.551838i | \(0.813927\pi\) | |||||||
\(98\) | 8.71198 | + | 55.0053i | 0.0888977 | + | 0.561278i | ||||
\(99\) | − | 14.8390i | − | 0.149888i | ||||||
\(100\) | −48.9954 | + | 9.97246i | −0.489954 | + | 0.0997246i | ||||
\(101\) | −136.013 | −1.34666 | −0.673330 | − | 0.739342i | \(-0.735137\pi\) | ||||
−0.673330 | + | 0.739342i | \(0.735137\pi\) | |||||||
\(102\) | −42.8778 | + | 6.79118i | −0.420371 | + | 0.0665802i | ||||
\(103\) | 77.1035 | − | 151.324i | 0.748577 | − | 1.46917i | −0.129973 | − | 0.991517i | \(-0.541489\pi\) |
0.878551 | − | 0.477649i | \(-0.158511\pi\) | |||||||
\(104\) | 55.0446 | − | 17.8851i | 0.529275 | − | 0.171972i | ||||
\(105\) | −78.7315 | + | 20.7318i | −0.749824 | + | 0.197445i | ||||
\(106\) | −5.93235 | + | 18.2579i | −0.0559656 | + | 0.172244i | ||||
\(107\) | 28.1580 | − | 28.1580i | 0.263159 | − | 0.263159i | −0.563177 | − | 0.826336i | \(-0.690421\pi\) |
0.826336 | + | 0.563177i | \(0.190421\pi\) | |||||||
\(108\) | 9.25961 | − | 4.71801i | 0.0857371 | − | 0.0436853i | ||||
\(109\) | −34.4707 | − | 47.4448i | −0.316245 | − | 0.435274i | 0.621071 | − | 0.783754i | \(-0.286698\pi\) |
−0.937316 | + | 0.348480i | \(0.886698\pi\) | |||||||
\(110\) | −17.6186 | + | 30.2140i | −0.160169 | + | 0.274673i | ||||
\(111\) | −52.6653 | − | 38.2636i | −0.474462 | − | 0.344717i | ||||
\(112\) | −5.88258 | + | 37.1412i | −0.0525231 | + | 0.331618i | ||||
\(113\) | −107.077 | − | 16.9593i | −0.947585 | − | 0.150083i | −0.336532 | − | 0.941672i | \(-0.609254\pi\) |
−0.611053 | + | 0.791590i | \(0.709254\pi\) | |||||||
\(114\) | −34.8357 | + | 47.9472i | −0.305576 | + | 0.420590i | ||||
\(115\) | 3.55141 | − | 0.357757i | 0.0308818 | − | 0.00311093i | ||||
\(116\) | −32.7498 | + | 23.7941i | −0.282326 | + | 0.205122i | ||||
\(117\) | 27.8696 | + | 54.6972i | 0.238202 | + | 0.467497i | ||||
\(118\) | 70.7869 | + | 70.7869i | 0.599889 | + | 0.599889i | ||||
\(119\) | 158.460 | + | 51.4867i | 1.33159 | + | 0.432661i | ||||
\(120\) | −24.4556 | − | 1.38767i | −0.203796 | − | 0.0115639i | ||||
\(121\) | −29.8306 | − | 91.8092i | −0.246534 | − | 0.758754i | ||||
\(122\) | −126.771 | − | 64.5932i | −1.03911 | − | 0.529452i | ||||
\(123\) | 8.45998 | + | 53.4142i | 0.0687803 | + | 0.434262i | ||||
\(124\) | − | 20.3929i | − | 0.164458i | ||||||
\(125\) | −21.1534 | + | 123.197i | −0.169227 | + | 0.985577i | ||||
\(126\) | −39.8852 | −0.316549 | ||||||||
\(127\) | 223.472 | − | 35.3945i | 1.75962 | − | 0.278697i | 0.808723 | − | 0.588190i | \(-0.200159\pi\) |
0.950902 | + | 0.309493i | \(0.100159\pi\) | |||||||
\(128\) | −5.13632 | + | 10.0806i | −0.0401275 | + | 0.0787546i | ||||
\(129\) | −123.916 | + | 40.2628i | −0.960589 | + | 0.312114i | ||||
\(130\) | 8.19707 | − | 144.461i | 0.0630544 | − | 1.11124i | ||||
\(131\) | −12.9491 | + | 39.8531i | −0.0988478 | + | 0.304222i | −0.988237 | − | 0.152928i | \(-0.951130\pi\) |
0.889390 | + | 0.457150i | \(0.151130\pi\) | |||||||
\(132\) | −12.1160 | + | 12.1160i | −0.0917875 | + | 0.0917875i | ||||
\(133\) | 202.669 | − | 103.265i | 1.52383 | − | 0.776428i | ||||
\(134\) | 27.3509 | + | 37.6452i | 0.204111 | + | 0.280935i | ||||
\(135\) | −2.60403 | − | 25.8499i | −0.0192891 | − | 0.191481i | ||||
\(136\) | 40.5546 | + | 29.4646i | 0.298195 | + | 0.216652i | ||||
\(137\) | 24.1015 | − | 152.171i | 0.175924 | − | 1.11074i | −0.728796 | − | 0.684731i | \(-0.759920\pi\) |
0.904720 | − | 0.426007i | \(-0.140080\pi\) | |||||||
\(138\) | 1.72711 | + | 0.273547i | 0.0125153 | + | 0.00198222i | ||||
\(139\) | −133.540 | + | 183.802i | −0.960718 | + | 1.32231i | −0.0141189 | + | 0.999900i | \(0.504494\pi\) |
−0.946599 | + | 0.322414i | \(0.895506\pi\) | |||||||
\(140\) | 81.2114 | + | 47.3566i | 0.580082 | + | 0.338261i | ||||
\(141\) | 56.1440 | − | 40.7910i | 0.398184 | − | 0.289298i | ||||
\(142\) | −77.3047 | − | 151.719i | −0.544399 | − | 1.06844i | ||||
\(143\) | −71.5698 | − | 71.5698i | −0.500488 | − | 0.500488i | ||||
\(144\) | −11.4127 | − | 3.70820i | −0.0792547 | − | 0.0257514i | ||||
\(145\) | 25.7704 | + | 97.8663i | 0.177727 | + | 0.674940i | ||||
\(146\) | −21.3164 | − | 65.6050i | −0.146003 | − | 0.449350i | ||||
\(147\) | 60.7730 | + | 30.9654i | 0.413422 | + | 0.210649i | ||||
\(148\) | 11.7590 | + | 74.2432i | 0.0794524 | + | 0.501643i | ||||
\(149\) | 90.8100i | 0.609463i | 0.952438 | + | 0.304732i | \(0.0985668\pi\) | ||||
−0.952438 | + | 0.304732i | \(0.901433\pi\) | |||||||
\(150\) | −25.3901 | + | 55.7256i | −0.169267 | + | 0.371504i | ||||
\(151\) | 74.0123 | 0.490148 | 0.245074 | − | 0.969504i | \(-0.421188\pi\) | ||||
0.245074 | + | 0.969504i | \(0.421188\pi\) | |||||||
\(152\) | 67.5920 | − | 10.7055i | 0.444684 | − | 0.0704311i | ||||
\(153\) | −24.1382 | + | 47.3739i | −0.157766 | + | 0.309633i | ||||
\(154\) | 62.5430 | − | 20.3215i | 0.406123 | − | 0.131958i | ||||
\(155\) | −47.5165 | − | 18.4759i | −0.306558 | − | 0.119199i | ||||
\(156\) | 21.9046 | − | 67.4155i | 0.140414 | − | 0.432151i | ||||
\(157\) | −97.0183 | + | 97.0183i | −0.617951 | + | 0.617951i | −0.945005 | − | 0.327055i | \(-0.893944\pi\) |
0.327055 | + | 0.945005i | \(0.393944\pi\) | |||||||
\(158\) | 154.077 | − | 78.5062i | 0.975172 | − | 0.496875i | ||||
\(159\) | 13.8200 | + | 19.0216i | 0.0869184 | + | 0.119633i | ||||
\(160\) | 18.8349 | + | 21.1009i | 0.117718 | + | 0.131881i | ||||
\(161\) | −5.42946 | − | 3.94473i | −0.0337234 | − | 0.0245014i | ||||
\(162\) | 1.99109 | − | 12.5712i | 0.0122907 | − | 0.0776001i | ||||
\(163\) | −180.694 | − | 28.6191i | −1.10855 | − | 0.175577i | −0.424796 | − | 0.905289i | \(-0.639654\pi\) |
−0.683754 | + | 0.729712i | \(0.739654\pi\) | |||||||
\(164\) | 36.7050 | − | 50.5201i | 0.223811 | − | 0.308049i | ||||
\(165\) | 17.2538 | + | 39.2079i | 0.104569 | + | 0.237624i | ||||
\(166\) | −26.6002 | + | 19.3262i | −0.160242 | + | 0.116423i | ||||
\(167\) | 109.884 | + | 215.660i | 0.657991 | + | 1.29138i | 0.942980 | + | 0.332849i | \(0.108010\pi\) |
−0.284990 | + | 0.958531i | \(0.591990\pi\) | |||||||
\(168\) | 32.5661 | + | 32.5661i | 0.193846 | + | 0.193846i | ||||
\(169\) | 237.500 | + | 77.1684i | 1.40533 | + | 0.456618i | ||||
\(170\) | 105.397 | − | 67.7996i | 0.619980 | − | 0.398821i | ||||
\(171\) | 22.4302 | + | 69.0332i | 0.131171 | + | 0.403703i | ||||
\(172\) | 134.051 | + | 68.3026i | 0.779369 | + | 0.397108i | ||||
\(173\) | −14.8717 | − | 93.8962i | −0.0859636 | − | 0.542753i | −0.992657 | − | 0.120963i | \(-0.961402\pi\) |
0.906693 | − | 0.421790i | \(-0.138598\pi\) | |||||||
\(174\) | 49.5788i | 0.284936i | ||||||||
\(175\) | 183.921 | − | 146.322i | 1.05098 | − | 0.836127i | ||||
\(176\) | 19.7853 | 0.112416 | ||||||||
\(177\) | 121.097 | − | 19.1799i | 0.684164 | − | 0.108361i | ||||
\(178\) | −83.7418 | + | 164.352i | −0.470459 | + | 0.923328i | ||||
\(179\) | 48.1623 | − | 15.6489i | 0.269063 | − | 0.0874239i | −0.171378 | − | 0.985205i | \(-0.554822\pi\) |
0.440441 | + | 0.897781i | \(0.354822\pi\) | |||||||
\(180\) | −18.9802 | + | 23.2326i | −0.105446 | + | 0.129070i | ||||
\(181\) | −11.4810 | + | 35.3348i | −0.0634307 | + | 0.195220i | −0.977750 | − | 0.209775i | \(-0.932727\pi\) |
0.914319 | + | 0.404995i | \(0.132727\pi\) | |||||||
\(182\) | −192.371 | + | 192.371i | −1.05698 | + | 1.05698i | ||||
\(183\) | −155.262 | + | 79.1101i | −0.848428 | + | 0.432296i | ||||
\(184\) | −1.18683 | − | 1.63353i | −0.00645014 | − | 0.00887786i | ||||
\(185\) | 183.644 | + | 39.8651i | 0.992672 | + | 0.215487i | ||||
\(186\) | −20.2060 | − | 14.6805i | −0.108635 | − | 0.0789277i | ||||
\(187\) | 13.7136 | − | 86.5843i | 0.0733348 | − | 0.463018i | ||||
\(188\) | −79.1471 | − | 12.5357i | −0.420995 | − | 0.0666791i | ||||
\(189\) | −28.7128 | + | 39.5198i | −0.151920 | + | 0.209100i | ||||
\(190\) | 36.2938 | − | 167.192i | 0.191020 | − | 0.879960i | ||||
\(191\) | −172.314 | + | 125.193i | −0.902167 | + | 0.655463i | −0.939022 | − | 0.343858i | \(-0.888266\pi\) |
0.0368548 | + | 0.999321i | \(0.488266\pi\) | |||||||
\(192\) | 6.29068 | + | 12.3461i | 0.0327639 | + | 0.0643029i | ||||
\(193\) | −129.728 | − | 129.728i | −0.672166 | − | 0.672166i | 0.286049 | − | 0.958215i | \(-0.407658\pi\) |
−0.958215 | + | 0.286049i | \(0.907658\pi\) | |||||||
\(194\) | 128.515 | + | 41.7570i | 0.662447 | + | 0.215242i | ||||
\(195\) | −137.236 | − | 112.117i | −0.703777 | − | 0.574961i | ||||
\(196\) | −24.3378 | − | 74.9041i | −0.124173 | − | 0.382164i | ||||
\(197\) | −302.859 | − | 154.314i | −1.53736 | − | 0.783322i | −0.539093 | − | 0.842246i | \(-0.681233\pi\) |
−0.998262 | + | 0.0589250i | \(0.981233\pi\) | |||||||
\(198\) | 3.28285 | + | 20.7271i | 0.0165800 | + | 0.104682i | ||||
\(199\) | 3.82532i | 0.0192227i | 0.999954 | + | 0.00961137i | \(0.00305944\pi\) | ||||
−0.999954 | + | 0.00961137i | \(0.996941\pi\) | |||||||
\(200\) | 66.2307 | − | 24.7689i | 0.331153 | − | 0.123844i | ||||
\(201\) | 56.9899 | 0.283532 | ||||||||
\(202\) | 189.983 | − | 30.0903i | 0.940509 | − | 0.148962i | ||||
\(203\) | 86.3859 | − | 169.542i | 0.425546 | − | 0.835182i | ||||
\(204\) | 58.3894 | − | 18.9719i | 0.286223 | − | 0.0929994i | ||||
\(205\) | −84.4600 | − | 131.296i | −0.412000 | − | 0.640467i | ||||
\(206\) | −74.2206 | + | 228.428i | −0.360294 | + | 1.10887i | ||||
\(207\) | 1.51436 | − | 1.51436i | 0.00731576 | − | 0.00731576i | ||||
\(208\) | −72.9296 | + | 37.1595i | −0.350623 | + | 0.178651i | ||||
\(209\) | −70.3446 | − | 96.8211i | −0.336577 | − | 0.463259i | ||||
\(210\) | 105.386 | − | 46.3761i | 0.501837 | − | 0.220838i | ||||
\(211\) | −80.0983 | − | 58.1948i | −0.379613 | − | 0.275805i | 0.381573 | − | 0.924339i | \(-0.375382\pi\) |
−0.761186 | + | 0.648534i | \(0.775382\pi\) | |||||||
\(212\) | 4.24709 | − | 26.8151i | 0.0200335 | − | 0.126486i | ||||
\(213\) | −205.980 | − | 32.6240i | −0.967041 | − | 0.153164i | ||||
\(214\) | −33.1017 | + | 45.5606i | −0.154681 | + | 0.212900i | ||||
\(215\) | 280.599 | − | 250.465i | 1.30511 | − | 1.16496i | ||||
\(216\) | −11.8901 | + | 8.63864i | −0.0550466 | + | 0.0399937i | ||||
\(217\) | 43.5181 | + | 85.4092i | 0.200544 | + | 0.393591i | ||||
\(218\) | 58.6450 | + | 58.6450i | 0.269014 | + | 0.269014i | ||||
\(219\) | −80.3494 | − | 26.1071i | −0.366892 | − | 0.119211i | ||||
\(220\) | 17.9254 | − | 46.1008i | 0.0814792 | − | 0.209549i | ||||
\(221\) | 112.068 | + | 344.911i | 0.507096 | + | 1.56068i | ||||
\(222\) | 82.0282 | + | 41.7954i | 0.369496 | + | 0.188268i | ||||
\(223\) | 24.3724 | + | 153.881i | 0.109293 | + | 0.690049i | 0.980112 | + | 0.198445i | \(0.0635893\pi\) |
−0.870819 | + | 0.491604i | \(0.836411\pi\) | |||||||
\(224\) | − | 53.1803i | − | 0.237412i | ||||||
\(225\) | 36.9372 | + | 65.2736i | 0.164165 | + | 0.290105i | ||||
\(226\) | 153.317 | 0.678396 | ||||||||
\(227\) | −208.452 | + | 33.0156i | −0.918293 | + | 0.145443i | −0.597650 | − | 0.801757i | \(-0.703899\pi\) |
−0.320642 | + | 0.947200i | \(0.603899\pi\) | |||||||
\(228\) | 38.0511 | − | 74.6796i | 0.166891 | − | 0.327542i | ||||
\(229\) | −335.743 | + | 109.089i | −1.46612 | + | 0.476373i | −0.929935 | − | 0.367724i | \(-0.880137\pi\) |
−0.536190 | + | 0.844097i | \(0.680137\pi\) | |||||||
\(230\) | −4.88147 | + | 1.28540i | −0.0212238 | + | 0.00558870i | ||||
\(231\) | 24.8886 | − | 76.5992i | 0.107743 | − | 0.331598i | ||||
\(232\) | 40.4809 | − | 40.4809i | 0.174487 | − | 0.174487i | ||||
\(233\) | 243.060 | − | 123.845i | 1.04317 | − | 0.531524i | 0.153514 | − | 0.988147i | \(-0.450941\pi\) |
0.889660 | + | 0.456623i | \(0.150941\pi\) | |||||||
\(234\) | −51.0291 | − | 70.2355i | −0.218073 | − | 0.300152i | ||||
\(235\) | −100.916 | + | 173.060i | −0.429429 | + | 0.736425i | ||||
\(236\) | −114.536 | − | 83.2149i | −0.485320 | − | 0.352606i | ||||
\(237\) | 33.1311 | − | 209.181i | 0.139794 | − | 0.882621i | ||||
\(238\) | −232.727 | − | 36.8604i | −0.977847 | − | 0.154876i | ||||
\(239\) | −64.2731 | + | 88.4643i | −0.268925 | + | 0.370144i | −0.922026 | − | 0.387127i | \(-0.873468\pi\) |
0.653101 | + | 0.757270i | \(0.273468\pi\) | |||||||
\(240\) | 34.4666 | − | 3.47204i | 0.143611 | − | 0.0144669i | ||||
\(241\) | −69.2117 | + | 50.2853i | −0.287186 | + | 0.208653i | −0.722046 | − | 0.691846i | \(-0.756798\pi\) |
0.434860 | + | 0.900498i | \(0.356798\pi\) | |||||||
\(242\) | 61.9786 | + | 121.640i | 0.256110 | + | 0.502644i | ||||
\(243\) | −11.0227 | − | 11.0227i | −0.0453609 | − | 0.0453609i | ||||
\(244\) | 191.364 | + | 62.1780i | 0.784280 | + | 0.254828i | ||||
\(245\) | −196.581 | − | 11.1545i | −0.802371 | − | 0.0455286i | ||||
\(246\) | −23.6338 | − | 72.7375i | −0.0960725 | − | 0.295681i | ||||
\(247\) | 441.138 | + | 224.771i | 1.78598 | + | 0.910004i | ||||
\(248\) | 4.51155 | + | 28.4848i | 0.0181917 | + | 0.114858i | ||||
\(249\) | 40.2691i | 0.161723i | ||||||||
\(250\) | 2.29196 | − | 176.762i | 0.00916786 | − | 0.707047i | ||||
\(251\) | 10.0677 | 0.0401103 | 0.0200551 | − | 0.999799i | \(-0.493616\pi\) | ||||
0.0200551 | + | 0.999799i | \(0.493616\pi\) | |||||||
\(252\) | 55.7117 | − | 8.82387i | 0.221078 | − | 0.0350154i | ||||
\(253\) | −1.60307 | + | 3.14620i | −0.00633624 | + | 0.0124356i | ||||
\(254\) | −304.316 | + | 98.8783i | −1.19810 | + | 0.389285i | ||||
\(255\) | 8.69518 | − | 153.239i | 0.0340987 | − | 0.600938i | ||||
\(256\) | 4.94427 | − | 15.2169i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | 350.651 | − | 350.651i | 1.36440 | − | 1.36440i | 0.496182 | − | 0.868219i | \(-0.334735\pi\) |
0.868219 | − | 0.496182i | \(-0.165265\pi\) | |||||||
\(258\) | 164.179 | − | 83.6533i | 0.636352 | − | 0.324238i | ||||
\(259\) | −207.683 | − | 285.851i | −0.801864 | − | 1.10367i | ||||
\(260\) | 20.5096 | + | 203.597i | 0.0788832 | + | 0.783064i | ||||
\(261\) | 49.1247 | + | 35.6911i | 0.188217 | + | 0.136748i | ||||
\(262\) | 9.27050 | − | 58.5316i | 0.0353836 | − | 0.223403i | ||||
\(263\) | −465.339 | − | 73.7024i | −1.76935 | − | 0.280237i | −0.815115 | − | 0.579299i | \(-0.803326\pi\) |
−0.954234 | + | 0.299061i | \(0.903326\pi\) | |||||||
\(264\) | 14.2432 | − | 19.6040i | 0.0539513 | − | 0.0742577i | ||||
\(265\) | −58.6328 | − | 34.1904i | −0.221256 | − | 0.129020i | ||||
\(266\) | −260.243 | + | 189.077i | −0.978356 | + | 0.710817i | ||||
\(267\) | 102.562 | + | 201.290i | 0.384128 | + | 0.753895i | ||||
\(268\) | −46.5321 | − | 46.5321i | −0.173627 | − | 0.173627i | ||||
\(269\) | 300.256 | + | 97.5592i | 1.11619 | + | 0.362674i | 0.808314 | − | 0.588751i | \(-0.200380\pi\) |
0.307880 | + | 0.951425i | \(0.400380\pi\) | |||||||
\(270\) | 9.35615 | + | 35.5311i | 0.0346524 | + | 0.131597i | ||||
\(271\) | −16.1526 | − | 49.7125i | −0.0596036 | − | 0.183441i | 0.916822 | − | 0.399297i | \(-0.130746\pi\) |
−0.976425 | + | 0.215856i | \(0.930746\pi\) | |||||||
\(272\) | −63.1652 | − | 32.1843i | −0.232225 | − | 0.118325i | ||||
\(273\) | 52.1233 | + | 329.093i | 0.190928 | + | 1.20547i | ||||
\(274\) | 217.885i | 0.795200i | ||||||||
\(275\) | −91.1771 | − | 83.5345i | −0.331553 | − | 0.303762i | ||||
\(276\) | −2.47294 | −0.00895994 | ||||||||
\(277\) | −79.7386 | + | 12.6294i | −0.287865 | + | 0.0455934i | −0.298697 | − | 0.954348i | \(-0.596552\pi\) |
0.0108319 | + | 0.999941i | \(0.496552\pi\) | |||||||
\(278\) | 145.866 | − | 286.278i | 0.524697 | − | 1.02978i | ||||
\(279\) | −29.0921 | + | 9.45261i | −0.104273 | + | 0.0338803i | ||||
\(280\) | −123.913 | − | 48.1812i | −0.442547 | − | 0.172076i | ||||
\(281\) | −42.5295 | + | 130.892i | −0.151351 | + | 0.465809i | −0.997773 | − | 0.0667029i | \(-0.978752\pi\) |
0.846422 | + | 0.532512i | \(0.178752\pi\) | |||||||
\(282\) | −69.3978 | + | 69.3978i | −0.246091 | + | 0.246091i | ||||
\(283\) | −138.519 | + | 70.5790i | −0.489467 | + | 0.249396i | −0.681263 | − | 0.732039i | \(-0.738569\pi\) |
0.191796 | + | 0.981435i | \(0.438569\pi\) | |||||||
\(284\) | 141.544 | + | 194.819i | 0.498396 | + | 0.685983i | ||||
\(285\) | −139.533 | − | 156.321i | −0.489591 | − | 0.548495i | ||||
\(286\) | 115.802 | + | 84.1354i | 0.404904 | + | 0.294180i | ||||
\(287\) | −45.9181 | + | 289.916i | −0.159994 | + | 1.01016i | ||||
\(288\) | 16.7616 | + | 2.65478i | 0.0582001 | + | 0.00921799i | ||||
\(289\) | −14.7562 | + | 20.3101i | −0.0510594 | + | 0.0702772i | ||||
\(290\) | −57.6472 | − | 130.999i | −0.198784 | − | 0.451719i | ||||
\(291\) | 133.891 | − | 97.2772i | 0.460105 | − | 0.334286i | ||||
\(292\) | 44.2887 | + | 86.9214i | 0.151674 | + | 0.297676i | ||||
\(293\) | −318.416 | − | 318.416i | −1.08674 | − | 1.08674i | −0.995862 | − | 0.0908835i | \(-0.971031\pi\) |
−0.0908835 | − | 0.995862i | \(-0.528969\pi\) | |||||||
\(294\) | −91.7384 | − | 29.8076i | −0.312035 | − | 0.101386i | ||||
\(295\) | −297.665 | + | 191.482i | −1.00903 | + | 0.649091i | ||||
\(296\) | −32.8499 | − | 101.102i | −0.110979 | − | 0.341559i | ||||
\(297\) | 22.9005 | + | 11.6684i | 0.0771060 | + | 0.0392875i | ||||
\(298\) | −20.0901 | − | 126.844i | −0.0674163 | − | 0.425650i | ||||
\(299\) | − | 14.6079i | − | 0.0488557i | ||||||
\(300\) | 23.1366 | − | 83.4548i | 0.0771220 | − | 0.278183i | ||||
\(301\) | −707.190 | −2.34947 | ||||||||
\(302\) | −103.381 | + | 16.3739i | −0.342320 | + | 0.0542181i | ||||
\(303\) | 106.951 | − | 209.904i | 0.352975 | − | 0.692752i | ||||
\(304\) | −92.0443 | + | 29.9070i | −0.302777 | + | 0.0983783i | ||||
\(305\) | 318.254 | − | 389.557i | 1.04346 | − | 1.27723i | ||||
\(306\) | 23.2357 | − | 71.5121i | 0.0759337 | − | 0.233700i | ||||
\(307\) | −9.55594 | + | 9.55594i | −0.0311268 | + | 0.0311268i | −0.722499 | − | 0.691372i | \(-0.757007\pi\) |
0.691372 | + | 0.722499i | \(0.257007\pi\) | |||||||
\(308\) | −82.8645 | + | 42.2216i | −0.269040 | + | 0.137083i | ||||
\(309\) | 172.905 | + | 237.983i | 0.559562 | + | 0.770171i | ||||
\(310\) | 70.4586 | + | 15.2950i | 0.227286 | + | 0.0493387i | ||||
\(311\) | −13.8128 | − | 10.0356i | −0.0444143 | − | 0.0322689i | 0.565357 | − | 0.824847i | \(-0.308739\pi\) |
−0.609771 | + | 0.792578i | \(0.708739\pi\) | |||||||
\(312\) | −15.6820 | + | 99.0122i | −0.0502628 | + | 0.317347i | ||||
\(313\) | 209.085 | + | 33.1158i | 0.668002 | + | 0.105801i | 0.481220 | − | 0.876600i | \(-0.340194\pi\) |
0.186783 | + | 0.982401i | \(0.440194\pi\) | |||||||
\(314\) | 114.052 | − | 156.979i | 0.363222 | − | 0.499933i | ||||
\(315\) | 29.9146 | − | 137.806i | 0.0949671 | − | 0.437479i | ||||
\(316\) | −197.847 | + | 143.744i | −0.626099 | + | 0.454887i | ||||
\(317\) | −113.616 | − | 222.985i | −0.358411 | − | 0.703422i | 0.639447 | − | 0.768835i | \(-0.279163\pi\) |
−0.997858 | + | 0.0654135i | \(0.979163\pi\) | |||||||
\(318\) | −23.5120 | − | 23.5120i | −0.0739372 | − | 0.0739372i | ||||
\(319\) | −95.2158 | − | 30.9375i | −0.298482 | − | 0.0969827i | ||||
\(320\) | −30.9768 | − | 25.3069i | −0.0968024 | − | 0.0790842i | ||||
\(321\) | 21.3137 | + | 65.5969i | 0.0663979 | + | 0.204352i | ||||
\(322\) | 8.45658 | + | 4.30884i | 0.0262627 | + | 0.0133815i | ||||
\(323\) | 67.0811 | + | 423.533i | 0.207681 | + | 1.31125i | ||||
\(324\) | 18.0000i | 0.0555556i | ||||||||
\(325\) | 492.973 | + | 136.670i | 1.51684 | + | 0.420522i | ||||
\(326\) | 258.725 | 0.793634 | ||||||||
\(327\) | 100.326 | − | 15.8900i | 0.306806 | − | 0.0485933i | ||||
\(328\) | −40.0930 | + | 78.6869i | −0.122235 | + | 0.239899i | ||||
\(329\) | 358.234 | − | 116.397i | 1.08886 | − | 0.353791i | ||||
\(330\) | −32.7742 | − | 50.9486i | −0.0993158 | − | 0.154390i | ||||
\(331\) | 96.8056 | − | 297.937i | 0.292464 | − | 0.900111i | −0.691598 | − | 0.722283i | \(-0.743093\pi\) |
0.984062 | − | 0.177828i | \(-0.0569072\pi\) | |||||||
\(332\) | 32.8796 | − | 32.8796i | 0.0990350 | − | 0.0990350i | ||||
\(333\) | 100.464 | − | 51.1887i | 0.301692 | − | 0.153720i | ||||
\(334\) | −201.198 | − | 276.925i | −0.602388 | − | 0.829116i | ||||
\(335\) | −150.580 | + | 66.2644i | −0.449494 | + | 0.197804i | ||||
\(336\) | −52.6931 | − | 38.2838i | −0.156825 | − | 0.113940i | ||||
\(337\) | −57.3976 | + | 362.394i | −0.170319 | + | 1.07535i | 0.743352 | + | 0.668900i | \(0.233235\pi\) |
−0.913672 | + | 0.406453i | \(0.866765\pi\) | |||||||
\(338\) | −348.813 | − | 55.2465i | −1.03199 | − | 0.163451i | ||||
\(339\) | 110.371 | − | 151.913i | 0.325579 | − | 0.448121i | ||||
\(340\) | −132.219 | + | 118.020i | −0.388879 | + | 0.347117i | ||||
\(341\) | 40.8026 | − | 29.6448i | 0.119656 | − | 0.0869349i | ||||
\(342\) | −46.6029 | − | 91.4634i | −0.136266 | − | 0.267437i | ||||
\(343\) | −63.9532 | − | 63.9532i | −0.186452 | − | 0.186452i | ||||
\(344\) | −202.354 | − | 65.7488i | −0.588239 | − | 0.191130i | ||||
\(345\) | −2.24048 | + | 5.76210i | −0.00649415 | + | 0.0167017i | ||||
\(346\) | 41.5456 | + | 127.864i | 0.120074 | + | 0.369550i | ||||
\(347\) | 157.818 | + | 80.4123i | 0.454807 | + | 0.231736i | 0.666359 | − | 0.745631i | \(-0.267852\pi\) |
−0.211552 | + | 0.977367i | \(0.567852\pi\) | |||||||
\(348\) | −10.9684 | − | 69.2518i | −0.0315184 | − | 0.198999i | ||||
\(349\) | − | 20.6139i | − | 0.0590657i | −0.999564 | − | 0.0295329i | \(-0.990598\pi\) | ||
0.999564 | − | 0.0295329i | \(-0.00940197\pi\) | |||||||
\(350\) | −224.530 | + | 245.072i | −0.641515 | + | 0.700207i | ||||
\(351\) | −106.327 | −0.302927 | ||||||||
\(352\) | −27.6361 | + | 4.37713i | −0.0785117 | + | 0.0124350i | ||||
\(353\) | 236.812 | − | 464.771i | 0.670857 | − | 1.31663i | −0.264999 | − | 0.964249i | \(-0.585372\pi\) |
0.935856 | − | 0.352382i | \(-0.114628\pi\) | |||||||
\(354\) | −164.905 | + | 53.5810i | −0.465834 | + | 0.151359i | ||||
\(355\) | 582.179 | − | 153.301i | 1.63994 | − | 0.431833i | ||||
\(356\) | 80.6107 | − | 248.094i | 0.226435 | − | 0.696894i | ||||
\(357\) | −204.060 | + | 204.060i | −0.571597 | + | 0.571597i | ||||
\(358\) | −63.8111 | + | 32.5134i | −0.178243 | + | 0.0908196i | ||||
\(359\) | 119.236 | + | 164.115i | 0.332134 | + | 0.457144i | 0.942124 | − | 0.335266i | \(-0.108826\pi\) |
−0.609989 | + | 0.792410i | \(0.708826\pi\) | |||||||
\(360\) | 21.3718 | − | 36.6503i | 0.0593661 | − | 0.101806i | ||||
\(361\) | 181.552 | + | 131.905i | 0.502914 | + | 0.365389i | ||||
\(362\) | 8.21946 | − | 51.8956i | 0.0227057 | − | 0.143358i | ||||
\(363\) | 165.143 | + | 26.1561i | 0.454940 | + | 0.0720554i | ||||
\(364\) | 226.145 | − | 311.262i | 0.621278 | − | 0.855116i | ||||
\(365\) | 242.657 | − | 24.4445i | 0.664814 | − | 0.0669711i | ||||
\(366\) | 199.369 | − | 144.850i | 0.544724 | − | 0.395766i | ||||
\(367\) | 48.4660 | + | 95.1199i | 0.132060 | + | 0.259182i | 0.947562 | − | 0.319572i | \(-0.103539\pi\) |
−0.815502 | + | 0.578754i | \(0.803539\pi\) | |||||||
\(368\) | 2.01915 | + | 2.01915i | 0.00548682 | + | 0.00548682i | ||||
\(369\) | −89.0849 | − | 28.9454i | −0.241422 | − | 0.0784429i | ||||
\(370\) | −265.334 | − | 15.0557i | −0.717120 | − | 0.0406912i | ||||
\(371\) | 39.4355 | + | 121.370i | 0.106295 | + | 0.327143i | ||||
\(372\) | 31.4716 | + | 16.0356i | 0.0846012 | + | 0.0431065i | ||||
\(373\) | 94.4408 | + | 596.276i | 0.253193 | + | 1.59859i | 0.706813 | + | 0.707400i | \(0.250132\pi\) |
−0.453621 | + | 0.891195i | \(0.649868\pi\) | |||||||
\(374\) | 123.975i | 0.331484i | ||||||||
\(375\) | −173.493 | − | 129.520i | −0.462647 | − | 0.345385i | ||||
\(376\) | 113.326 | 0.301399 | ||||||||
\(377\) | 409.076 | − | 64.7912i | 1.08508 | − | 0.171860i | ||||
\(378\) | 31.3631 | − | 61.5536i | 0.0829712 | − | 0.162840i | ||||
\(379\) | −440.995 | + | 143.288i | −1.16358 | + | 0.378069i | −0.826242 | − | 0.563316i | \(-0.809525\pi\) |
−0.337335 | + | 0.941385i | \(0.609525\pi\) | |||||||
\(380\) | −13.7070 | + | 241.564i | −0.0360709 | + | 0.635695i | ||||
\(381\) | −121.101 | + | 372.710i | −0.317850 | + | 0.978241i | ||||
\(382\) | 212.992 | − | 212.992i | 0.557570 | − | 0.557570i | ||||
\(383\) | −94.1411 | + | 47.9673i | −0.245799 | + | 0.125241i | −0.572551 | − | 0.819869i | \(-0.694046\pi\) |
0.326751 | + | 0.945110i | \(0.394046\pi\) | |||||||
\(384\) | −11.5182 | − | 15.8534i | −0.0299953 | − | 0.0412850i | ||||
\(385\) | 23.3036 | + | 231.332i | 0.0605287 | + | 0.600861i | ||||
\(386\) | 209.904 | + | 152.505i | 0.543794 | + | 0.395089i | ||||
\(387\) | 35.3032 | − | 222.896i | 0.0912228 | − | 0.575958i | ||||
\(388\) | −188.748 | − | 29.8947i | −0.486463 | − | 0.0770482i | ||||
\(389\) | 432.598 | − | 595.421i | 1.11208 | − | 1.53064i | 0.293760 | − | 0.955879i | \(-0.405093\pi\) |
0.818319 | − | 0.574765i | \(-0.194907\pi\) | |||||||
\(390\) | 216.496 | + | 126.245i | 0.555118 | + | 0.323705i | ||||
\(391\) | 10.2357 | − | 7.43668i | 0.0261783 | − | 0.0190197i | ||||
\(392\) | 50.5663 | + | 99.2419i | 0.128996 | + | 0.253168i | ||||
\(393\) | −51.3217 | − | 51.3217i | −0.130590 | − | 0.130590i | ||||
\(394\) | 457.173 | + | 148.545i | 1.16034 | + | 0.377017i | ||||
\(395\) | 155.683 | + | 591.228i | 0.394135 | + | 1.49678i | ||||
\(396\) | −9.17098 | − | 28.2254i | −0.0231590 | − | 0.0712762i | ||||
\(397\) | 30.4423 | + | 15.5111i | 0.0766808 | + | 0.0390708i | 0.491910 | − | 0.870646i | \(-0.336299\pi\) |
−0.415230 | + | 0.909717i | \(0.636299\pi\) | |||||||
\(398\) | −0.846283 | − | 5.34322i | −0.00212634 | − | 0.0134252i | ||||
\(399\) | 393.973i | 0.987401i | ||||||||
\(400\) | −87.0315 | + | 49.2496i | −0.217579 | + | 0.123124i | ||||
\(401\) | 55.9881 | 0.139621 | 0.0698106 | − | 0.997560i | \(-0.477760\pi\) | ||||
0.0698106 | + | 0.997560i | \(0.477760\pi\) | |||||||
\(402\) | −79.6036 | + | 12.6080i | −0.198019 | + | 0.0313631i | ||||
\(403\) | −94.7235 | + | 185.905i | −0.235046 | + | 0.461304i | ||||
\(404\) | −258.711 | + | 84.0604i | −0.640375 | + | 0.208070i | ||||
\(405\) | 41.9410 | + | 16.3080i | 0.103558 | + | 0.0402666i | ||||
\(406\) | −83.1560 | + | 255.928i | −0.204818 | + | 0.630364i | ||||
\(407\) | −131.454 | + | 131.454i | −0.322983 | + | 0.322983i | ||||
\(408\) | −77.3613 | + | 39.4175i | −0.189611 | + | 0.0966116i | ||||
\(409\) | 187.395 | + | 257.928i | 0.458180 | + | 0.630630i | 0.974130 | − | 0.225988i | \(-0.0725611\pi\) |
−0.515950 | + | 0.856618i | \(0.672561\pi\) | |||||||
\(410\) | 147.021 | + | 164.709i | 0.358587 | + | 0.401729i | ||||
\(411\) | 215.889 | + | 156.853i | 0.525277 | + | 0.381636i | ||||
\(412\) | 53.1361 | − | 335.488i | 0.128971 | − | 0.814292i | ||||
\(413\) | 657.277 | + | 104.102i | 1.59147 | + | 0.252064i | ||||
\(414\) | −1.78024 | + | 2.45029i | −0.00430009 | + | 0.00591857i | ||||
\(415\) | −46.8225 | − | 106.400i | −0.112825 | − | 0.256386i | ||||
\(416\) | 93.6474 | − | 68.0388i | 0.225114 | − | 0.163555i | ||||
\(417\) | −178.648 | − | 350.617i | −0.428414 | − | 0.840809i | ||||
\(418\) | 119.677 | + | 119.677i | 0.286310 | + | 0.286310i | ||||
\(419\) | 7.20082 | + | 2.33969i | 0.0171857 | + | 0.00558398i | 0.317597 | − | 0.948226i | \(-0.397124\pi\) |
−0.300412 | + | 0.953810i | \(0.597124\pi\) | |||||||
\(420\) | −136.943 | + | 88.0929i | −0.326055 | + | 0.209745i | ||||
\(421\) | −131.822 | − | 405.706i | −0.313116 | − | 0.963671i | −0.976523 | − | 0.215413i | \(-0.930890\pi\) |
0.663407 | − | 0.748258i | \(-0.269110\pi\) | |||||||
\(422\) | 124.756 | + | 63.5663i | 0.295630 | + | 0.150631i | ||||
\(423\) | 18.8035 | + | 118.721i | 0.0444527 | + | 0.280663i | ||||
\(424\) | 38.3950i | 0.0905542i | ||||||||
\(425\) | 155.203 | + | 415.003i | 0.365182 | + | 0.976478i | ||||
\(426\) | 294.931 | 0.692325 | ||||||||
\(427\) | −934.158 | + | 147.956i | −2.18772 | + | 0.346501i | ||||
\(428\) | 36.1571 | − | 70.9622i | 0.0844791 | − | 0.165800i | ||||
\(429\) | 166.729 | − | 54.1736i | 0.388646 | − | 0.126279i | ||||
\(430\) | −336.531 | + | 411.928i | −0.782630 | + | 0.957973i | ||||
\(431\) | 152.215 | − | 468.470i | 0.353168 | − | 1.08694i | −0.603897 | − | 0.797063i | \(-0.706386\pi\) |
0.957064 | − | 0.289876i | \(-0.0936139\pi\) | |||||||
\(432\) | 14.6969 | − | 14.6969i | 0.0340207 | − | 0.0340207i | ||||
\(433\) | 570.028 | − | 290.444i | 1.31646 | − | 0.670771i | 0.352251 | − | 0.935905i | \(-0.385416\pi\) |
0.964212 | + | 0.265134i | \(0.0854163\pi\) | |||||||
\(434\) | −79.6815 | − | 109.672i | −0.183598 | − | 0.252701i | ||||
\(435\) | −171.298 | − | 37.1850i | −0.393789 | − | 0.0854828i | ||||
\(436\) | −94.8897 | − | 68.9414i | −0.217637 | − | 0.158122i | ||||
\(437\) | 2.70201 | − | 17.0598i | 0.00618308 | − | 0.0390384i | ||||
\(438\) | 118.008 | + | 18.6906i | 0.269425 | + | 0.0426727i | ||||
\(439\) | 215.588 | − | 296.732i | 0.491090 | − | 0.675927i | −0.489499 | − | 0.872004i | \(-0.662820\pi\) |
0.980589 | + | 0.196077i | \(0.0628202\pi\) | |||||||
\(440\) | −14.8393 | + | 68.3594i | −0.0337257 | + | 0.155362i | ||||
\(441\) | −95.5758 | + | 69.4399i | −0.216725 | + | 0.157460i | ||||
\(442\) | −232.842 | − | 456.979i | −0.526793 | − | 1.03389i | ||||
\(443\) | 164.605 | + | 164.605i | 0.371570 | + | 0.371570i | 0.868049 | − | 0.496479i | \(-0.165374\pi\) |
−0.496479 | + | 0.868049i | \(0.665374\pi\) | |||||||
\(444\) | −123.824 | − | 40.2327i | −0.278882 | − | 0.0906143i | ||||
\(445\) | −505.041 | − | 412.601i | −1.13492 | − | 0.927192i | ||||
\(446\) | −68.0867 | − | 209.549i | −0.152661 | − | 0.469842i | ||||
\(447\) | −140.144 | − | 71.4071i | −0.313522 | − | 0.159747i | ||||
\(448\) | 11.7652 | + | 74.2823i | 0.0262615 | + | 0.165809i | ||||
\(449\) | 687.686i | 1.53160i | 0.643081 | + | 0.765798i | \(0.277656\pi\) | ||||
−0.643081 | + | 0.765798i | \(0.722344\pi\) | |||||||
\(450\) | −66.0345 | − | 83.0027i | −0.146743 | − | 0.184450i | ||||
\(451\) | 154.439 | 0.342438 | ||||||||
\(452\) | −214.154 | + | 33.9187i | −0.473792 | + | 0.0750413i | ||||
\(453\) | −58.1984 | + | 114.221i | −0.128473 | + | 0.252143i | ||||
\(454\) | 283.863 | − | 92.2326i | 0.625248 | − | 0.203155i | ||||
\(455\) | −520.371 | − | 808.934i | −1.14367 | − | 1.77788i | ||||
\(456\) | −36.6284 | + | 112.731i | −0.0803255 | + | 0.247216i | ||||
\(457\) | 193.353 | − | 193.353i | 0.423093 | − | 0.423093i | −0.463174 | − | 0.886267i | \(-0.653290\pi\) |
0.886267 | + | 0.463174i | \(0.153290\pi\) | |||||||
\(458\) | 444.832 | − | 226.653i | 0.971249 | − | 0.494876i | ||||
\(459\) | −54.1300 | − | 74.5035i | −0.117930 | − | 0.162317i | ||||
\(460\) | 6.53408 | − | 2.87539i | 0.0142045 | − | 0.00625084i | ||||
\(461\) | −458.589 | − | 333.184i | −0.994769 | − | 0.722742i | −0.0338091 | − | 0.999428i | \(-0.510764\pi\) |
−0.960960 | + | 0.276686i | \(0.910764\pi\) | |||||||
\(462\) | −17.8183 | + | 112.500i | −0.0385677 | + | 0.243507i | ||||
\(463\) | −284.431 | − | 45.0494i | −0.614321 | − | 0.0972989i | −0.158483 | − | 0.987362i | \(-0.550660\pi\) |
−0.455838 | + | 0.890063i | \(0.650660\pi\) | |||||||
\(464\) | −47.5882 | + | 65.4995i | −0.102561 | + | 0.141163i | ||||
\(465\) | 65.8772 | − | 58.8025i | 0.141671 | − | 0.126457i | ||||
\(466\) | −312.108 | + | 226.759i | −0.669759 | + | 0.486608i | ||||
\(467\) | −276.844 | − | 543.336i | −0.592813 | − | 1.16346i | −0.971301 | − | 0.237855i | \(-0.923556\pi\) |
0.378488 | − | 0.925606i | \(-0.376444\pi\) | |||||||
\(468\) | 86.8159 | + | 86.8159i | 0.185504 | + | 0.185504i | ||||
\(469\) | 294.184 | + | 95.5862i | 0.627258 | + | 0.203809i | ||||
\(470\) | 102.673 | − | 264.056i | 0.218454 | − | 0.561822i | ||||
\(471\) | −73.4364 | − | 226.014i | −0.155916 | − | 0.479860i | ||||
\(472\) | 178.393 | + | 90.8959i | 0.377952 | + | 0.192576i | ||||
\(473\) | 58.2070 | + | 367.504i | 0.123059 | + | 0.776965i | ||||
\(474\) | 299.515i | 0.631887i | ||||||||
\(475\) | 550.440 | + | 250.795i | 1.15882 | + | 0.527989i | ||||
\(476\) | 333.229 | 0.700061 | ||||||||
\(477\) | −40.2226 | + | 6.37064i | −0.0843242 | + | 0.0133556i | ||||
\(478\) | 70.2057 | − | 137.786i | 0.146874 | − | 0.288256i | ||||
\(479\) | −555.695 | + | 180.556i | −1.16012 | + | 0.376944i | −0.824945 | − | 0.565213i | \(-0.808794\pi\) |
−0.335171 | + | 0.942157i | \(0.608794\pi\) | |||||||
\(480\) | −47.3749 | + | 12.4749i | −0.0986976 | + | 0.0259893i | ||||
\(481\) | 237.658 | − | 731.435i | 0.494091 | − | 1.52066i | ||||
\(482\) | 85.5504 | − | 85.5504i | 0.177490 | − | 0.177490i | ||||
\(483\) | 10.3572 | − | 5.27723i | 0.0214434 | − | 0.0109260i | ||||
\(484\) | −113.482 | − | 156.195i | −0.234468 | − | 0.322717i | ||||
\(485\) | −240.661 | + | 412.708i | −0.496209 | + | 0.850945i | ||||
\(486\) | 17.8351 | + | 12.9580i | 0.0366978 | + | 0.0266625i | ||||
\(487\) | 23.7109 | − | 149.705i | 0.0486878 | − | 0.307403i | −0.951312 | − | 0.308230i | \(-0.900263\pi\) |
1.00000 | 0.000827440i | \(0.000263382\pi\) | ||||||||
\(488\) | −281.054 | − | 44.5146i | −0.575930 | − | 0.0912184i | ||||
\(489\) | 186.253 | − | 256.355i | 0.380885 | − | 0.524243i | ||||
\(490\) | 277.052 | − | 27.9093i | 0.565413 | − | 0.0569577i | ||||
\(491\) | −156.203 | + | 113.488i | −0.318133 | + | 0.231137i | −0.735378 | − | 0.677657i | \(-0.762996\pi\) |
0.417245 | + | 0.908794i | \(0.362996\pi\) | |||||||
\(492\) | 49.1036 | + | 96.3713i | 0.0998042 | + | 0.195877i | ||||
\(493\) | 253.655 | + | 253.655i | 0.514512 | + | 0.514512i | ||||
\(494\) | −665.909 | − | 216.367i | −1.34799 | − | 0.437990i | ||||
\(495\) | −74.0756 | − | 4.20324i | −0.149648 | − | 0.00849139i | ||||
\(496\) | −12.6035 | − | 38.7895i | −0.0254102 | − | 0.0782047i | ||||
\(497\) | −1008.56 | − | 513.886i | −2.02929 | − | 1.03398i | ||||
\(498\) | −8.90881 | − | 56.2480i | −0.0178892 | − | 0.112948i | ||||
\(499\) | − | 512.872i | − | 1.02780i | −0.857850 | − | 0.513900i | \(-0.828200\pi\) | ||
0.857850 | − | 0.513900i | \(-0.171800\pi\) | |||||||
\(500\) | 35.9039 | + | 247.408i | 0.0718078 | + | 0.494817i | ||||
\(501\) | −419.228 | −0.836782 | ||||||||
\(502\) | −14.0626 | + | 2.22729i | −0.0280131 | + | 0.00443683i | ||||
\(503\) | −324.845 | + | 637.545i | −0.645816 | + | 1.26748i | 0.303401 | + | 0.952863i | \(0.401878\pi\) |
−0.949217 | + | 0.314622i | \(0.898122\pi\) | |||||||
\(504\) | −75.8662 | + | 24.6504i | −0.150528 | + | 0.0489095i | ||||
\(505\) | −38.5265 | + | 678.971i | −0.0762902 | + | 1.34450i | ||||
\(506\) | 1.54313 | − | 4.74927i | 0.00304967 | − | 0.00938591i | ||||
\(507\) | −305.846 | + | 305.846i | −0.603247 | + | 0.603247i | ||||
\(508\) | 403.195 | − | 205.438i | 0.793690 | − | 0.404405i | ||||
\(509\) | −186.330 | − | 256.462i | −0.366072 | − | 0.503854i | 0.585756 | − | 0.810487i | \(-0.300798\pi\) |
−0.951828 | + | 0.306633i | \(0.900798\pi\) | |||||||
\(510\) | 21.7559 | + | 215.968i | 0.0426587 | + | 0.423468i | ||||
\(511\) | −370.979 | − | 269.532i | −0.725986 | − | 0.527460i | ||||
\(512\) | −3.53971 | + | 22.3488i | −0.00691349 | + | 0.0436501i | ||||
\(513\) | −124.174 | − | 19.6673i | −0.242055 | − | 0.0383378i | ||||
\(514\) | −412.215 | + | 567.365i | −0.801974 | + | 1.10382i | ||||
\(515\) | −733.565 | − | 427.762i | −1.42440 | − | 0.830606i | ||||
\(516\) | −210.819 | + | 153.169i | −0.408563 | + | 0.296838i | ||||
\(517\) | −89.9733 | − | 176.582i | −0.174030 | − | 0.341552i | ||||
\(518\) | 353.331 | + | 353.331i | 0.682107 | + | 0.682107i | ||||
\(519\) | 156.601 | + | 50.8828i | 0.301736 | + | 0.0980401i | ||||
\(520\) | −73.6899 | − | 279.847i | −0.141711 | − | 0.538167i | ||||
\(521\) | −28.7112 | − | 88.3641i | −0.0551079 | − | 0.169605i | 0.919714 | − | 0.392588i | \(-0.128420\pi\) |
−0.974822 | + | 0.222984i | \(0.928420\pi\) | |||||||
\(522\) | −76.5134 | − | 38.9855i | −0.146577 | − | 0.0746850i | ||||
\(523\) | 89.3302 | + | 564.008i | 0.170803 | + | 1.07841i | 0.912920 | + | 0.408139i | \(0.133822\pi\) |
−0.742116 | + | 0.670271i | \(0.766178\pi\) | |||||||
\(524\) | 83.8080i | 0.159939i | ||||||||
\(525\) | 81.1911 | + | 398.898i | 0.154650 | + | 0.759805i | ||||
\(526\) | 666.292 | 1.26671 | ||||||||
\(527\) | −178.486 | + | 28.2695i | −0.338684 | + | 0.0536423i | ||||
\(528\) | −15.5578 | + | 30.5340i | −0.0294656 | + | 0.0578295i | ||||
\(529\) | 502.624 | − | 163.313i | 0.950140 | − | 0.308719i | ||||
\(530\) | 89.4625 | + | 34.7858i | 0.168797 | + | 0.0656336i | ||||
\(531\) | −65.6230 | + | 201.967i | −0.123584 | + | 0.380352i | ||||
\(532\) | 321.678 | − | 321.678i | 0.604657 | − | 0.604657i | ||||
\(533\) | −569.273 | + | 290.059i | −1.06805 | + | 0.544201i | ||||
\(534\) | −187.791 | − | 258.472i | −0.351668 | − | 0.484030i | ||||
\(535\) | −132.588 | − | 148.540i | −0.247828 | − | 0.277644i | ||||
\(536\) | 75.2905 | + | 54.7017i | 0.140467 | + | 0.102055i | ||||
\(537\) | −13.7213 | + | 86.6326i | −0.0255517 | + | 0.161327i | ||||
\(538\) | −440.982 | − | 69.8447i | −0.819669 | − | 0.129823i | ||||
\(539\) | 114.491 | − | 157.583i | 0.212413 | − | 0.292361i | ||||
\(540\) | −20.9293 | − | 47.5601i | −0.0387580 | − | 0.0880743i | ||||
\(541\) | 322.155 | − | 234.060i | 0.595481 | − | 0.432642i | −0.248791 | − | 0.968557i | \(-0.580033\pi\) |
0.844272 | + | 0.535915i | \(0.180033\pi\) | |||||||
\(542\) | 33.5600 | + | 65.8651i | 0.0619187 | + | 0.121522i | ||||
\(543\) | −45.5031 | − | 45.5031i | −0.0837995 | − | 0.0837995i | ||||
\(544\) | 95.3495 | + | 30.9809i | 0.175275 | + | 0.0569503i | ||||
\(545\) | −246.607 | + | 158.638i | −0.452490 | + | 0.291078i | ||||
\(546\) | −145.612 | − | 448.147i | −0.266688 | − | 0.820782i | ||||
\(547\) | 373.360 | + | 190.237i | 0.682560 | + | 0.347782i | 0.760648 | − | 0.649165i | \(-0.224881\pi\) |
−0.0780879 | + | 0.996946i | \(0.524881\pi\) | |||||||
\(548\) | −48.2031 | − | 304.342i | −0.0879618 | − | 0.555369i | ||||
\(549\) | − | 301.819i | − | 0.549761i | ||||||
\(550\) | 145.837 | + | 96.5099i | 0.265158 | + | 0.175473i | ||||
\(551\) | 489.723 | 0.888790 | ||||||||
\(552\) | 3.45421 | − | 0.547093i | 0.00625763 | − | 0.000991111i | ||||
\(553\) | 521.873 | − | 1024.23i | 0.943712 | − | 1.85214i | ||||
\(554\) | 108.585 | − | 35.2814i | 0.196002 | − | 0.0636849i | ||||
\(555\) | −205.929 | + | 252.065i | −0.371042 | + | 0.454172i | ||||
\(556\) | −140.412 | + | 432.144i | −0.252540 | + | 0.777237i | ||||
\(557\) | −500.005 | + | 500.005i | −0.897675 | + | 0.897675i | −0.995230 | − | 0.0975556i | \(-0.968898\pi\) |
0.0975556 | + | 0.995230i | \(0.468898\pi\) | |||||||
\(558\) | 38.5447 | − | 19.6395i | 0.0690766 | − | 0.0351963i | ||||
\(559\) | −904.779 | − | 1245.32i | −1.61857 | − | 2.22777i | ||||
\(560\) | 183.741 | + | 39.8862i | 0.328109 | + | 0.0712253i | ||||
\(561\) | 122.839 | + | 89.2480i | 0.218965 | + | 0.159087i | ||||
\(562\) | 30.4478 | − | 192.240i | 0.0541776 | − | 0.342064i | ||||
\(563\) | 423.044 | + | 67.0036i | 0.751410 | + | 0.119012i | 0.520380 | − | 0.853935i | \(-0.325790\pi\) |
0.231030 | + | 0.972947i | \(0.425790\pi\) | |||||||
\(564\) | 81.5820 | − | 112.288i | 0.144649 | − | 0.199092i | ||||
\(565\) | −114.991 | + | 529.722i | −0.203524 | + | 0.937561i | ||||
\(566\) | 177.869 | − | 129.230i | 0.314257 | − | 0.228321i | ||||
\(567\) | −38.4118 | − | 75.3874i | −0.0677457 | − | 0.132958i | ||||
\(568\) | −240.810 | − | 240.810i | −0.423961 | − | 0.423961i | ||||
\(569\) | −415.730 | − | 135.079i | −0.730633 | − | 0.237397i | −0.0800060 | − | 0.996794i | \(-0.525494\pi\) |
−0.650627 | + | 0.759397i | \(0.725494\pi\) | |||||||
\(570\) | 229.484 | + | 187.480i | 0.402603 | + | 0.328913i | ||||
\(571\) | 67.9117 | + | 209.011i | 0.118935 | + | 0.366043i | 0.992747 | − | 0.120219i | \(-0.0383598\pi\) |
−0.873813 | + | 0.486263i | \(0.838360\pi\) | |||||||
\(572\) | −180.366 | − | 91.9013i | −0.315326 | − | 0.160667i | ||||
\(573\) | −57.7106 | − | 364.370i | −0.100717 | − | 0.635900i | ||||
\(574\) | − | 415.114i | − | 0.723194i | ||||||
\(575\) | −0.779949 | − | 17.8299i | −0.00135643 | − | 0.0310085i | ||||
\(576\) | −24.0000 | −0.0416667 | ||||||||
\(577\) | −700.915 | + | 111.014i | −1.21476 | + | 0.192399i | −0.730737 | − | 0.682659i | \(-0.760824\pi\) |
−0.484020 | + | 0.875057i | \(0.660824\pi\) | |||||||
\(578\) | 16.1182 | − | 31.6337i | 0.0278861 | − | 0.0547296i | ||||
\(579\) | 302.215 | − | 98.1956i | 0.521960 | − | 0.169595i | ||||
\(580\) | 109.503 | + | 170.226i | 0.188798 | + | 0.293493i | ||||
\(581\) | −67.5413 | + | 207.871i | −0.116250 | + | 0.357781i | ||||
\(582\) | −165.498 | + | 165.498i | −0.284360 | + | 0.284360i | ||||
\(583\) | 59.8263 | − | 30.4830i | 0.102618 | − | 0.0522865i | ||||
\(584\) | −81.0923 | − | 111.614i | −0.138857 | − | 0.191120i | ||||
\(585\) | 280.941 | − | 123.631i | 0.480241 | − | 0.211335i | ||||
\(586\) | 515.208 | + | 374.321i | 0.879195 | + | 0.638773i | ||||
\(587\) | −109.469 | + | 691.161i | −0.186489 | + | 1.17745i | 0.699809 | + | 0.714330i | \(0.253269\pi\) |
−0.886298 | + | 0.463116i | \(0.846731\pi\) | |||||||
\(588\) | 134.735 | + | 21.3399i | 0.229141 | + | 0.0362923i | ||||
\(589\) | −145.010 | + | 199.589i | −0.246196 | + | 0.338860i | ||||
\(590\) | 373.417 | − | 333.315i | 0.632910 | − | 0.564941i | ||||
\(591\) | 476.297 | − | 346.050i | 0.805917 | − | 0.585533i | ||||
\(592\) | 68.2517 | + | 133.951i | 0.115290 | + | 0.226269i | ||||
\(593\) | −68.7258 | − | 68.7258i | −0.115895 | − | 0.115895i | 0.646781 | − | 0.762676i | \(-0.276115\pi\) |
−0.762676 | + | 0.646781i | \(0.776115\pi\) | |||||||
\(594\) | −34.5689 | − | 11.2321i | −0.0581967 | − | 0.0189093i | ||||
\(595\) | 301.905 | − | 776.443i | 0.507403 | − | 1.30495i | ||||
\(596\) | 56.1237 | + | 172.731i | 0.0941673 | + | 0.289817i | ||||
\(597\) | −5.90350 | − | 3.00798i | −0.00988861 | − | 0.00503850i | ||||
\(598\) | 3.23172 | + | 20.4043i | 0.00540422 | + | 0.0341209i | ||||
\(599\) | 701.657i | 1.17138i | 0.810535 | + | 0.585690i | \(0.199176\pi\) | ||||
−0.810535 | + | 0.585690i | \(0.800824\pi\) | |||||||
\(600\) | −13.8544 | + | 121.688i | −0.0230907 | + | 0.202814i | ||||
\(601\) | −49.0219 | −0.0815673 | −0.0407836 | − | 0.999168i | \(-0.512985\pi\) | ||||
−0.0407836 | + | 0.999168i | \(0.512985\pi\) | |||||||
\(602\) | 987.805 | − | 156.453i | 1.64087 | − | 0.259889i | ||||
\(603\) | −44.8131 | + | 87.9507i | −0.0743170 | + | 0.145855i | ||||
\(604\) | 140.780 | − | 45.7421i | 0.233079 | − | 0.0757320i | ||||
\(605\) | −466.759 | + | 122.908i | −0.771502 | + | 0.203154i | ||||
\(606\) | −102.953 | + | 316.855i | −0.169889 | + | 0.522864i | ||||
\(607\) | −74.2415 | + | 74.2415i | −0.122309 | + | 0.122309i | −0.765612 | − | 0.643303i | \(-0.777564\pi\) |
0.643303 | + | 0.765612i | \(0.277564\pi\) | |||||||
\(608\) | 121.951 | − | 62.1373i | 0.200578 | − | 0.102199i | ||||
\(609\) | 193.720 | + | 266.633i | 0.318096 | + | 0.437822i | ||||
\(610\) | −358.356 | + | 614.542i | −0.587469 | + | 1.00745i | ||||
\(611\) | 663.293 | + | 481.911i | 1.08559 | + | 0.788724i | ||||
\(612\) | −16.6349 | + | 105.029i | −0.0271813 | + | 0.171616i | ||||
\(613\) | −190.189 | − | 30.1230i | −0.310260 | − | 0.0491403i | −0.000636965 | − | 1.00000i | \(-0.500203\pi\) |
−0.309623 | + | 0.950859i | \(0.600203\pi\) | |||||||
\(614\) | 11.2337 | − | 15.4618i | 0.0182959 | − | 0.0251821i | ||||
\(615\) | 269.039 | − | 27.1020i | 0.437461 | − | 0.0440683i | ||||
\(616\) | 106.405 | − | 77.3074i | 0.172735 | − | 0.125499i | ||||
\(617\) | 493.476 | + | 968.501i | 0.799799 | + | 1.56969i | 0.821690 | + | 0.569934i | \(0.193031\pi\) |
−0.0218912 | + | 0.999760i | \(0.506969\pi\) | |||||||
\(618\) | −294.163 | − | 294.163i | −0.475992 | − | 0.475992i | ||||
\(619\) | 371.133 | + | 120.588i | 0.599569 | + | 0.194812i | 0.593048 | − | 0.805167i | \(-0.297924\pi\) |
0.00652080 | + | 0.999979i | \(0.497924\pi\) | |||||||
\(620\) | −101.801 | − | 5.77642i | −0.164194 | − | 0.00931681i | ||||
\(621\) | 1.14627 | + | 3.52786i | 0.00184585 | + | 0.00568094i | ||||
\(622\) | 21.5140 | + | 10.9619i | 0.0345885 | + | 0.0176237i | ||||
\(623\) | 191.818 | + | 1211.09i | 0.307893 | + | 1.94396i | ||||
\(624\) | − | 141.770i | − | 0.227195i | ||||||
\(625\) | 609.005 | + | 140.493i | 0.974407 | + | 0.224790i | ||||
\(626\) | −299.376 | −0.478237 | ||||||||
\(627\) | 204.735 | − | 32.4269i | 0.326532 | − | 0.0517175i | ||||
\(628\) | −124.579 | + | 244.500i | −0.198374 | + | 0.389332i | ||||
\(629\) | 633.505 | − | 205.838i | 1.00716 | − | 0.327247i | ||||
\(630\) | −11.2978 | + | 199.106i | −0.0179330 | + | 0.316041i | ||||
\(631\) | −30.5066 | + | 93.8897i | −0.0483465 | + | 0.148795i | −0.972315 | − | 0.233672i | \(-0.924926\pi\) |
0.923969 | + | 0.382468i | \(0.124926\pi\) | |||||||
\(632\) | 244.553 | − | 244.553i | 0.386950 | − | 0.386950i | ||||
\(633\) | 152.794 | − | 77.8526i | 0.241381 | − | 0.122990i | ||||
\(634\) | 208.031 | + | 286.330i | 0.328124 | + | 0.451625i | ||||
\(635\) | −113.388 | − | 1125.59i | −0.178564 | − | 1.77259i | ||||
\(636\) | 38.0433 | + | 27.6400i | 0.0598164 | + | 0.0434592i | ||||
\(637\) | −126.056 | + | 795.888i | −0.197891 | + | 1.24943i | ||||
\(638\) | 139.842 | + | 22.1488i | 0.219188 | + | 0.0347160i | ||||
\(639\) | 212.317 | − | 292.229i | 0.332264 | − | 0.457322i | ||||
\(640\) | 48.8671 | + | 28.4957i | 0.0763548 | + | 0.0445246i | ||||
\(641\) | 577.692 | − | 419.718i | 0.901235 | − | 0.654786i | −0.0375476 | − | 0.999295i | \(-0.511955\pi\) |
0.938783 | + | 0.344509i | \(0.111955\pi\) | |||||||
\(642\) | −44.2832 | − | 86.9106i | −0.0689769 | − | 0.135375i | ||||
\(643\) | 555.282 | + | 555.282i | 0.863580 | + | 0.863580i | 0.991752 | − | 0.128172i | \(-0.0409108\pi\) |
−0.128172 | + | 0.991752i | \(0.540911\pi\) | |||||||
\(644\) | −12.7654 | − | 4.14774i | −0.0198221 | − | 0.00644059i | ||||
\(645\) | 165.890 | + | 629.990i | 0.257194 | + | 0.976729i | ||||
\(646\) | −187.398 | − | 576.752i | −0.290090 | − | 0.892804i | ||||
\(647\) | 468.499 | + | 238.712i | 0.724110 | + | 0.368952i | 0.776875 | − | 0.629655i | \(-0.216804\pi\) |
−0.0527655 | + | 0.998607i | \(0.516804\pi\) | |||||||
\(648\) | −3.98217 | − | 25.1424i | −0.00614533 | − | 0.0388001i | ||||
\(649\) | − | 350.134i | − | 0.539498i | ||||||
\(650\) | −718.822 | − | 81.8391i | −1.10588 | − | 0.125906i | ||||
\(651\) | −166.029 | −0.255037 | ||||||||
\(652\) | −361.387 | + | 57.2381i | −0.554275 | + | 0.0877885i | ||||
\(653\) | −70.6846 | + | 138.726i | −0.108246 | + | 0.212445i | −0.938775 | − | 0.344530i | \(-0.888038\pi\) |
0.830529 | + | 0.556975i | \(0.188038\pi\) | |||||||
\(654\) | −136.620 | + | 44.3904i | −0.208899 | + | 0.0678753i | ||||
\(655\) | 195.278 | + | 75.9300i | 0.298134 | + | 0.115924i | ||||
\(656\) | 38.5939 | − | 118.780i | 0.0588322 | − | 0.181067i | ||||
\(657\) | 103.472 | − | 103.472i | 0.157491 | − | 0.157491i | ||||
\(658\) | −474.631 | + | 241.837i | −0.721324 | + | 0.367533i | ||||
\(659\) | −439.630 | − | 605.098i | −0.667116 | − | 0.918207i | 0.332574 | − | 0.943077i | \(-0.392083\pi\) |
−0.999691 | + | 0.0248702i | \(0.992083\pi\) | |||||||
\(660\) | 57.0505 | + | 63.9144i | 0.0864402 | + | 0.0968400i | ||||
\(661\) | −150.068 | − | 109.031i | −0.227032 | − | 0.164948i | 0.468455 | − | 0.883488i | \(-0.344811\pi\) |
−0.695486 | + | 0.718539i | \(0.744811\pi\) | |||||||
\(662\) | −69.3051 | + | 437.575i | −0.104691 | + | 0.660990i | ||||
\(663\) | −620.413 | − | 98.2637i | −0.935766 | − | 0.148211i | ||||
\(664\) | −38.6523 | + | 53.2003i | −0.0582113 | + | 0.0801210i | ||||
\(665\) | −458.088 | − | 1040.97i | −0.688854 | − | 1.56536i | ||||
\(666\) | −129.003 | + | 93.7263i | −0.193698 | + | 0.140730i | ||||
\(667\) | −6.55980 | − | 12.8743i | −0.00983479 | − | 0.0193019i | ||||
\(668\) | 342.298 | + | 342.298i | 0.512422 | + | 0.512422i | ||||
\(669\) | −256.645 | − | 83.3889i | −0.383624 | − | 0.124647i | ||||
\(670\) | 195.671 | − | 125.871i | 0.292047 | − | 0.187868i | ||||
\(671\) | 153.776 | + | 473.274i | 0.229175 | + | 0.705327i | ||||
\(672\) | 82.0714 | + | 41.8175i | 0.122130 | + | 0.0622284i | ||||
\(673\) | −154.850 | − | 977.683i | −0.230089 | − | 1.45272i | −0.784318 | − | 0.620359i | \(-0.786987\pi\) |
0.554229 | − | 0.832364i | \(-0.313013\pi\) | |||||||
\(674\) | − | 518.891i | − | 0.769868i | ||||||
\(675\) | −129.780 | + | 5.67708i | −0.192266 | + | 0.00841049i | ||||
\(676\) | 499.444 | 0.738823 | ||||||||
\(677\) | 737.110 | − | 116.747i | 1.08879 | − | 0.172447i | 0.413868 | − | 0.910337i | \(-0.364178\pi\) |
0.674921 | + | 0.737890i | \(0.264178\pi\) | |||||||
\(678\) | −120.559 | + | 236.610i | −0.177815 | + | 0.348982i | ||||
\(679\) | 854.306 | − | 277.581i | 1.25818 | − | 0.408808i | ||||
\(680\) | 158.574 | − | 194.101i | 0.233197 | − | 0.285443i | ||||
\(681\) | 112.961 | − | 347.659i | 0.165876 | − | 0.510513i | ||||
\(682\) | −50.4348 | + | 50.4348i | −0.0739513 | + | 0.0739513i | ||||
\(683\) | −228.773 | + | 116.565i | −0.334952 | + | 0.170667i | −0.613375 | − | 0.789792i | \(-0.710188\pi\) |
0.278422 | + | 0.960459i | \(0.410188\pi\) | |||||||
\(684\) | 85.3297 | + | 117.446i | 0.124751 | + | 0.171705i | ||||
\(685\) | −752.807 | − | 163.418i | −1.09899 | − | 0.238566i | ||||
\(686\) | 103.478 | + | 75.1815i | 0.150843 | + | 0.109594i | ||||
\(687\) | 95.6518 | − | 603.922i | 0.139231 | − | 0.879071i | ||||
\(688\) | 297.194 | + | 47.0710i | 0.431968 | + | 0.0684171i | ||||
\(689\) | −163.272 | + | 224.724i | −0.236969 | + | 0.326160i | ||||
\(690\) | 1.85475 | − | 8.54418i | 0.00268805 | − | 0.0123829i | ||||
\(691\) | 192.742 | − | 140.035i | 0.278932 | − | 0.202656i | −0.439520 | − | 0.898233i | \(-0.644851\pi\) |
0.718451 | + | 0.695577i | \(0.244851\pi\) | |||||||
\(692\) | −86.3187 | − | 169.410i | −0.124738 | − | 0.244812i | ||||
\(693\) | 98.6424 | + | 98.6424i | 0.142341 | + | 0.142341i | ||||
\(694\) | −238.230 | − | 77.4057i | −0.343271 | − | 0.111536i | ||||
\(695\) | 879.707 | + | 718.690i | 1.26576 | + | 1.03409i | ||||
\(696\) | 30.6414 | + | 94.3045i | 0.0440250 | + | 0.135495i | ||||
\(697\) | −493.054 | − | 251.224i | −0.707394 | − | 0.360435i | ||||
\(698\) | 4.56046 | + | 28.7936i | 0.00653361 | + | 0.0412516i | ||||
\(699\) | 472.490i | 0.675951i | ||||||||
\(700\) | 259.406 | − | 391.991i | 0.370581 | − | 0.559987i | ||||
\(701\) | −1054.86 | −1.50479 | −0.752397 | − | 0.658710i | \(-0.771102\pi\) | ||||
−0.752397 | + | 0.658710i | \(0.771102\pi\) | |||||||
\(702\) | 148.518 | − | 23.5230i | 0.211564 | − | 0.0335085i | ||||
\(703\) | 412.842 | − | 810.248i | 0.587257 | − | 1.15256i | ||||
\(704\) | 37.6338 | − | 12.2280i | 0.0534571 | − | 0.0173693i | ||||
\(705\) | −187.724 | − | 291.823i | −0.266275 | − | 0.413934i | ||||
\(706\) | −227.958 | + | 701.583i | −0.322887 | + | 0.993744i | ||||
\(707\) | 904.148 | − | 904.148i | 1.27885 | − | 1.27885i | ||||
\(708\) | 218.486 | − | 111.324i | 0.308596 | − | 0.157238i | ||||
\(709\) | 551.607 | + | 759.222i | 0.778008 | + | 1.07084i | 0.995499 | + | 0.0947733i | \(0.0302126\pi\) |
−0.217491 | + | 0.976062i | \(0.569787\pi\) | |||||||
\(710\) | −779.274 | + | 342.927i | −1.09757 | + | 0.482996i | ||||
\(711\) | 296.771 | + | 215.617i | 0.417399 | + | 0.303258i | ||||
\(712\) | −57.7109 | + | 364.372i | −0.0810546 | + | 0.511759i | ||||
\(713\) | 7.18938 | + | 1.13869i | 0.0100833 | + | 0.00159703i | ||||
\(714\) | 239.887 | − | 330.176i | 0.335976 | − | 0.462432i | ||||
\(715\) | −377.547 | + | 337.002i | −0.528038 | + | 0.471331i | ||||
\(716\) | 81.9386 | − | 59.5318i | 0.114439 | − | 0.0831450i | ||||
\(717\) | −85.9840 | − | 168.753i | −0.119922 | − | 0.235360i | ||||
\(718\) | −202.857 | − | 202.857i | −0.282530 | − | 0.282530i | ||||
\(719\) | −862.326 | − | 280.187i | −1.19934 | − | 0.389689i | −0.359822 | − | 0.933021i | \(-0.617163\pi\) |
−0.839518 | + | 0.543331i | \(0.817163\pi\) | |||||||
\(720\) | −21.7440 | + | 55.9214i | −0.0302000 | + | 0.0776686i | ||||
\(721\) | 493.384 | + | 1518.48i | 0.684305 | + | 2.10608i | ||||
\(722\) | −282.774 | − | 144.081i | −0.391654 | − | 0.199558i | ||||
\(723\) | −23.1801 | − | 146.353i | −0.0320610 | − | 0.202425i | ||||
\(724\) | 74.3063i | 0.102633i | ||||||||
\(725\) | 495.845 | − | 100.924i | 0.683924 | − | 0.139205i | ||||
\(726\) | −236.459 | −0.325701 | ||||||||
\(727\) | −253.332 | + | 40.1239i | −0.348462 | + | 0.0551910i | −0.328212 | − | 0.944604i | \(-0.606446\pi\) |
−0.0202499 | + | 0.999795i | \(0.506446\pi\) | |||||||
\(728\) | −247.019 | + | 484.802i | −0.339312 | + | 0.665937i | ||||
\(729\) | 25.6785 | − | 8.34346i | 0.0352243 | − | 0.0114451i | ||||
\(730\) | −333.536 | + | 87.8276i | −0.456899 | + | 0.120312i | ||||
\(731\) | 411.984 | − | 1267.96i | 0.563589 | − | 1.73455i | ||||
\(732\) | −246.434 | + | 246.434i | −0.336658 | + | 0.336658i | ||||
\(733\) | −306.092 | + | 155.962i | −0.417589 | + | 0.212772i | −0.650144 | − | 0.759811i | \(-0.725291\pi\) |
0.232555 | + | 0.972583i | \(0.425291\pi\) | |||||||
\(734\) | −88.7410 | − | 122.141i | −0.120901 | − | 0.166405i | ||||
\(735\) | 171.793 | − | 294.606i | 0.233732 | − | 0.400824i | ||||
\(736\) | −3.26705 | − | 2.37365i | −0.00443893 | − | 0.00322507i | ||||
\(737\) | 25.4596 | − | 160.746i | 0.0345449 | − | 0.218108i | ||||
\(738\) | 130.838 | + | 20.7226i | 0.177287 | + | 0.0280795i | ||||
\(739\) | −758.928 | + | 1044.57i | −1.02697 | + | 1.41350i | −0.119765 | + | 0.992802i | \(0.538214\pi\) |
−0.907202 | + | 0.420696i | \(0.861786\pi\) | |||||||
\(740\) | 373.950 | − | 37.6705i | 0.505338 | − | 0.0509061i | ||||
\(741\) | −693.764 | + | 504.049i | −0.936253 | + | 0.680228i | ||||
\(742\) | −81.9345 | − | 160.805i | −0.110424 | − | 0.216719i | ||||
\(743\) | −271.117 | − | 271.117i | −0.364894 | − | 0.364894i | 0.500717 | − | 0.865611i | \(-0.333070\pi\) |
−0.865611 | + | 0.500717i | \(0.833070\pi\) | |||||||
\(744\) | −47.5073 | − | 15.4360i | −0.0638538 | − | 0.0207474i | ||||
\(745\) | 453.321 | + | 25.7226i | 0.608485 | + | 0.0345270i | ||||
\(746\) | −263.830 | − | 811.986i | −0.353660 | − | 1.08845i | ||||
\(747\) | −62.1461 | − | 31.6650i | −0.0831943 | − | 0.0423896i | ||||
\(748\) | −27.4272 | − | 173.169i | −0.0366674 | − | 0.231509i | ||||
\(749\) | 374.362i | 0.499816i | ||||||||
\(750\) | 270.989 | + | 142.531i | 0.361318 | + | 0.190041i | ||||
\(751\) | −466.612 | −0.621321 | −0.310661 | − | 0.950521i | \(-0.600550\pi\) | ||||
−0.310661 | + | 0.950521i | \(0.600550\pi\) | |||||||
\(752\) | −158.294 | + | 25.0713i | −0.210497 | + | 0.0333395i | ||||
\(753\) | −7.91657 | + | 15.5371i | −0.0105134 | + | 0.0206336i | ||||
\(754\) | −557.064 | + | 181.001i | −0.738811 | + | 0.240054i | ||||
\(755\) | 20.9645 | − | 369.467i | 0.0277676 | − | 0.489360i | ||||
\(756\) | −30.1905 | + | 92.9167i | −0.0399345 | + | 0.122906i | ||||
\(757\) | 46.2950 | − | 46.2950i | 0.0611559 | − | 0.0611559i | −0.675867 | − | 0.737023i | \(-0.736231\pi\) |
0.737023 | + | 0.675867i | \(0.236231\pi\) | |||||||
\(758\) | 584.283 | − | 297.707i | 0.770822 | − | 0.392754i | ||||
\(759\) | −3.59488 | − | 4.94793i | −0.00473634 | − | 0.00651901i | ||||
\(760\) | −34.2957 | − | 340.450i | −0.0451260 | − | 0.447960i | ||||
\(761\) | −1093.04 | − | 794.139i | −1.43632 | − | 1.04355i | −0.988796 | − | 0.149274i | \(-0.952306\pi\) |
−0.447522 | − | 0.894273i | \(-0.647694\pi\) | |||||||
\(762\) | 86.6986 | − | 547.393i | 0.113778 | − | 0.718364i | ||||
\(763\) | 544.536 | + | 86.2461i | 0.713678 | + | 0.113035i | ||||
\(764\) | −250.387 | + | 344.628i | −0.327731 | + | 0.451083i | ||||
\(765\) | 229.652 | + | 133.916i | 0.300199 | + | 0.175054i | ||||
\(766\) | 120.885 | − | 87.8279i | 0.157813 | − | 0.114658i | ||||
\(767\) | 657.601 | + | 1290.61i | 0.857368 | + | 1.68268i | ||||
\(768\) | 19.5959 | + | 19.5959i | 0.0255155 | + | 0.0255155i | ||||
\(769\) | 820.375 | + | 266.556i | 1.06681 | + | 0.346627i | 0.789244 | − | 0.614080i | \(-0.210473\pi\) |
0.277564 | + | 0.960707i | \(0.410473\pi\) | |||||||
\(770\) | −83.7284 | − | 317.969i | −0.108738 | − | 0.412947i | ||||
\(771\) | 265.420 | + | 816.877i | 0.344254 | + | 1.05950i | ||||
\(772\) | −326.934 | − | 166.581i | −0.423489 | − | 0.215779i | ||||
\(773\) | −0.276856 | − | 1.74800i | −0.000358157 | − | 0.00226132i | 0.987509 | − | 0.157565i | \(-0.0503644\pi\) |
−0.987867 | + | 0.155304i | \(0.950364\pi\) | |||||||
\(774\) | 319.151i | 0.412340i | ||||||||
\(775\) | −105.691 | + | 231.968i | −0.136375 | + | 0.299313i | ||||
\(776\) | 270.257 | 0.348269 | ||||||||
\(777\) | 604.453 | − | 95.7360i | 0.777932 | − | 0.123212i | ||||
\(778\) | −472.528 | + | 927.389i | −0.607363 | + | 1.19202i | ||||
\(779\) | −718.477 | + | 233.447i | −0.922307 | + | 0.299676i | ||||
\(780\) | −330.332 | − | 128.443i | −0.423502 | − | 0.164671i | ||||
\(781\) | −184.038 | + | 566.412i | −0.235645 | + | 0.725239i | ||||
\(782\) | −12.6520 | + | 12.6520i | −0.0161791 | + | 0.0161791i | ||||
\(783\) | −93.7094 | + | 47.7473i | −0.119680 | + | 0.0609800i | ||||
\(784\) | −92.5866 | − | 127.434i | −0.118095 | − | 0.162544i | ||||
\(785\) | 456.831 | + | 511.793i | 0.581951 | + | 0.651966i | ||||
\(786\) | 83.0403 | + | 60.3323i | 0.105649 | + | 0.0767587i | ||||
\(787\) | −93.1551 | + | 588.158i | −0.118367 | + | 0.747342i | 0.855091 | + | 0.518478i | \(0.173501\pi\) |
−0.973458 | + | 0.228864i | \(0.926499\pi\) | |||||||
\(788\) | −671.443 | − | 106.346i | −0.852086 | − | 0.134957i | ||||
\(789\) | 479.655 | − | 660.188i | 0.607927 | − | 0.836740i | ||||
\(790\) | −348.257 | − | 791.386i | −0.440832 | − | 1.00175i | ||||
\(791\) | 824.536 | − | 599.061i | 1.04240 | − | 0.757346i | ||||
\(792\) | 19.0544 | + | 37.3963i | 0.0240586 | + | 0.0472176i | ||||
\(793\) | −1455.70 | − | 1455.70i | −1.83569 | − | 1.83569i | ||||
\(794\) | −45.9534 | − | 14.9312i | −0.0578758 | − | 0.0188050i | ||||
\(795\) | 98.8700 | − | 63.6011i | 0.124365 | − | 0.0800014i | ||||
\(796\) | 2.36418 | + | 7.27620i | 0.00297008 | + | 0.00914095i | ||||
\(797\) | 605.268 | + | 308.399i | 0.759433 | + | 0.386950i | 0.790417 | − | 0.612570i | \(-0.209864\pi\) |
−0.0309840 | + | 0.999520i | \(0.509864\pi\) | |||||||
\(798\) | −87.1593 | − | 550.302i | −0.109222 | − | 0.689602i | ||||
\(799\) | 710.104i | 0.888741i | ||||||||
\(800\) | 110.670 | − | 88.0460i | 0.138338 | − | 0.110058i | ||||
\(801\) | −391.293 | −0.488505 | ||||||||
\(802\) | −78.2043 | + | 12.3864i | −0.0975116 | + | 0.0154443i | ||||
\(803\) | −109.533 | + | 214.970i | −0.136405 | + | 0.267709i | ||||
\(804\) | 108.401 | − | 35.2217i | 0.134827 | − | 0.0438081i | ||||
\(805\) | −21.2299 | + | 25.9863i | −0.0263726 | + | 0.0322812i | ||||
\(806\) | 91.1818 | − | 280.629i | 0.113129 | − | 0.348175i | ||||
\(807\) | −386.662 | + | 386.662i | −0.479135 | + | 0.479135i | ||||
\(808\) | 342.772 | − | 174.651i | 0.424222 | − | 0.216152i | ||||
\(809\) | 492.355 | + | 677.669i | 0.608597 | + | 0.837663i | 0.996461 | − | 0.0840542i | \(-0.0267869\pi\) |
−0.387864 | + | 0.921717i | \(0.626787\pi\) | |||||||
\(810\) | −62.1912 | − | 13.5003i | −0.0767792 | − | 0.0166671i | ||||
\(811\) | −388.274 | − | 282.098i | −0.478760 | − | 0.347839i | 0.322085 | − | 0.946711i | \(-0.395616\pi\) |
−0.800845 | + | 0.598871i | \(0.795616\pi\) | |||||||
\(812\) | 59.5331 | − | 375.877i | 0.0733166 | − | 0.462903i | ||||
\(813\) | 89.4211 | + | 14.1629i | 0.109989 | + | 0.0174206i | ||||
\(814\) | 154.533 | − | 212.697i | 0.189844 | − | 0.261298i | ||||
\(815\) | −194.048 | + | 893.911i | −0.238096 | + | 1.09682i | ||||
\(816\) | 99.3380 | − | 72.1733i | 0.121738 | − | 0.0884477i | ||||
\(817\) | −826.300 | − | 1621.70i | −1.01138 | − | 1.98495i | ||||
\(818\) | −318.816 | − | 318.816i | −0.389751 | − | 0.389751i | ||||
\(819\) | −548.866 | − | 178.337i | −0.670166 | − | 0.217750i | ||||
\(820\) | −241.798 | − | 197.540i | −0.294875 | − | 0.240903i | ||||
\(821\) | −16.1881 | − | 49.8220i | −0.0197176 | − | 0.0606845i | 0.940714 | − | 0.339202i | \(-0.110157\pi\) |
−0.960431 | + | 0.278517i | \(0.910157\pi\) | |||||||
\(822\) | −336.255 | − | 171.330i | −0.409069 | − | 0.208431i | ||||
\(823\) | 149.125 | + | 941.541i | 0.181197 | + | 1.14404i | 0.895784 | + | 0.444489i | \(0.146615\pi\) |
−0.714587 | + | 0.699546i | \(0.753385\pi\) | |||||||
\(824\) | 480.366i | 0.582968i | ||||||||
\(825\) | 200.612 | − | 75.0247i | 0.243166 | − | 0.0909390i | ||||
\(826\) | −941.116 | −1.13937 | ||||||||
\(827\) | 608.804 | − | 96.4250i | 0.736159 | − | 0.116596i | 0.222914 | − | 0.974838i | \(-0.428443\pi\) |
0.513245 | + | 0.858242i | \(0.328443\pi\) | |||||||
\(828\) | 1.94456 | − | 3.81641i | 0.00234850 | − | 0.00460920i | ||||
\(829\) | −1000.36 | + | 325.036i | −1.20671 | + | 0.392082i | −0.842224 | − | 0.539128i | \(-0.818754\pi\) |
−0.364482 | + | 0.931210i | \(0.618754\pi\) | |||||||
\(830\) | 88.9409 | + | 138.262i | 0.107158 | + | 0.166580i | ||||
\(831\) | 43.2108 | − | 132.989i | 0.0519985 | − | 0.160035i | ||||
\(832\) | −115.755 | + | 115.755i | −0.139128 | + | 0.139128i | ||||
\(833\) | −621.852 | + | 316.850i | −0.746521 | + | 0.380372i | ||||
\(834\) | 327.104 | + | 450.220i | 0.392211 | + | 0.539833i | ||||
\(835\) | 1107.70 | − | 487.452i | 1.32658 | − | 0.583775i | ||||
\(836\) | −193.642 | − | 140.689i | −0.231629 | − | 0.168289i | ||||
\(837\) | 8.28824 | − | 52.3299i | 0.00990232 | − | 0.0625208i | ||||
\(838\) | −10.5757 | − | 1.67503i | −0.0126202 | − | 0.00199884i | ||||
\(839\) | 749.097 | − | 1031.04i | 0.892845 | − | 1.22890i | −0.0798491 | − | 0.996807i | \(-0.525444\pi\) |
0.972694 | − | 0.232089i | \(-0.0745562\pi\) | |||||||
\(840\) | 171.794 | − | 153.345i | 0.204516 | − | 0.182553i | ||||
\(841\) | −348.948 | + | 253.526i | −0.414920 | + | 0.301457i | ||||
\(842\) | 273.884 | + | 537.527i | 0.325278 | + | 0.638393i | ||||
\(843\) | −168.560 | − | 168.560i | −0.199952 | − | 0.199952i | ||||
\(844\) | −188.322 | − | 61.1896i | −0.223131 | − | 0.0724996i | ||||
\(845\) | 452.496 | − | 1163.73i | 0.535498 | − | 1.37720i | ||||
\(846\) | −52.5295 | − | 161.669i | −0.0620916 | − | 0.191098i | ||||
\(847\) | 808.605 | + | 412.005i | 0.954670 | + | 0.486428i | ||||
\(848\) | −8.49419 | − | 53.6302i | −0.0100167 | − | 0.0632432i | ||||
\(849\) | − | 269.271i | − | 0.317162i | ||||||
\(850\) | −308.599 | − | 545.342i | −0.363058 | − | 0.641578i | ||||
\(851\) | −26.8306 | −0.0315283 | ||||||||
\(852\) | −411.960 | + | 65.2480i | −0.483521 | + | 0.0765822i | ||||
\(853\) | 328.598 | − | 644.910i | 0.385226 | − | 0.756049i | −0.614226 | − | 0.789130i | \(-0.710532\pi\) |
0.999453 | + | 0.0330806i | \(0.0105318\pi\) | |||||||
\(854\) | 1272.10 | − | 413.331i | 1.48958 | − | 0.483994i | ||||
\(855\) | 350.965 | − | 92.4170i | 0.410486 | − | 0.108090i | ||||
\(856\) | −34.8052 | + | 107.119i | −0.0406603 | + | 0.125139i | ||||
\(857\) | 571.573 | − | 571.573i | 0.666947 | − | 0.666947i | −0.290061 | − | 0.957008i | \(-0.593676\pi\) |
0.957008 | + | 0.290061i | \(0.0936757\pi\) | |||||||
\(858\) | −220.903 | + | 112.556i | −0.257463 | + | 0.131184i | ||||
\(859\) | −153.639 | − | 211.466i | −0.178858 | − | 0.246177i | 0.710170 | − | 0.704031i | \(-0.248618\pi\) |
−0.889027 | + | 0.457854i | \(0.848618\pi\) | |||||||
\(860\) | 378.936 | − | 649.834i | 0.440623 | − | 0.755620i | ||||
\(861\) | −411.311 | − | 298.835i | −0.477713 | − | 0.347079i | ||||
\(862\) | −108.974 | + | 688.035i | −0.126420 | + | 0.798185i | ||||
\(863\) | −360.280 | − | 57.0628i | −0.417474 | − | 0.0661214i | −0.0558360 | − | 0.998440i | \(-0.517782\pi\) |
−0.361638 | + | 0.932319i | \(0.617782\pi\) | |||||||
\(864\) | −17.2773 | + | 23.7801i | −0.0199969 | + | 0.0275233i | ||||
\(865\) | −472.940 | + | 47.6423i | −0.546751 | + | 0.0550778i | ||||
\(866\) | −731.961 | + | 531.801i | −0.845221 | + | 0.614089i | ||||
\(867\) | −19.7407 | − | 38.7432i | −0.0227689 | − | 0.0446866i | ||||
\(868\) | 135.562 | + | 135.562i | 0.156178 | + | 0.156178i | ||||
\(869\) | −575.215 | − | 186.899i | −0.661928 | − | 0.215073i | ||||
\(870\) | 247.496 | + | 14.0436i | 0.284478 | + | 0.0161420i | ||||
\(871\) | 208.057 | + | 640.334i | 0.238872 | + | 0.735171i | ||||
\(872\) | 147.794 | + | 75.3049i | 0.169489 | + | 0.0863588i | ||||
\(873\) | 44.8420 | + | 283.121i | 0.0513654 | + | 0.324309i | ||||
\(874\) | 24.4269i | 0.0279484i | ||||||||
\(875\) | −678.339 | − | 959.575i | −0.775245 | − | 1.09666i | ||||
\(876\) | −168.969 | −0.192887 | ||||||||
\(877\) | −1065.52 | + | 168.761i | −1.21495 | + | 0.192430i | −0.730824 | − | 0.682566i | \(-0.760864\pi\) |
−0.484130 | + | 0.874996i | \(0.660864\pi\) | |||||||
\(878\) | −235.488 | + | 462.171i | −0.268209 | + | 0.526391i | ||||
\(879\) | 741.784 | − | 241.020i | 0.843895 | − | 0.274198i | ||||
\(880\) | 5.60432 | − | 98.7675i | 0.00636854 | − | 0.112236i | ||||
\(881\) | −169.954 | + | 523.063i | −0.192910 | + | 0.593715i | 0.807085 | + | 0.590436i | \(0.201044\pi\) |
−0.999995 | + | 0.00327981i | \(0.998956\pi\) | |||||||
\(882\) | 118.138 | − | 118.138i | 0.133944 | − | 0.133944i | ||||
\(883\) | −514.326 | + | 262.062i | −0.582476 | + | 0.296786i | −0.720291 | − | 0.693672i | \(-0.755992\pi\) |
0.137816 | + | 0.990458i | \(0.455992\pi\) | |||||||
\(884\) | 426.333 | + | 586.797i | 0.482277 | + | 0.663797i | ||||
\(885\) | −61.4438 | − | 609.945i | −0.0694280 | − | 0.689204i | ||||
\(886\) | −266.337 | − | 193.505i | −0.300606 | − | 0.218403i | ||||
\(887\) | 105.718 | − | 667.478i | 0.119186 | − | 0.752511i | −0.853621 | − | 0.520895i | \(-0.825598\pi\) |
0.972807 | − | 0.231617i | \(-0.0744015\pi\) | |||||||
\(888\) | 181.858 | + | 28.8035i | 0.204795 | + | 0.0324363i | ||||
\(889\) | −1250.25 | + | 1720.83i | −1.40636 | + | 1.93569i | ||||
\(890\) | 796.722 | + | 464.590i | 0.895193 | + | 0.522012i | ||||
\(891\) | −36.0149 | + | 26.1663i | −0.0404208 | + | 0.0293674i | ||||
\(892\) | 141.463 | + | 277.636i | 0.158590 | + | 0.311251i | ||||
\(893\) | 685.489 | + | 685.489i | 0.767624 | + | 0.767624i | ||||
\(894\) | 211.551 | + | 68.7372i | 0.236635 | + | 0.0768872i | ||||
\(895\) | −64.4764 | − | 244.857i | −0.0720407 | − | 0.273584i | ||||
\(896\) | −32.8672 | − | 101.155i | −0.0366822 | − | 0.112896i | ||||
\(897\) | 22.5438 | + | 11.4867i | 0.0251325 | + | 0.0128056i | ||||
\(898\) | −152.138 | − | 960.562i | −0.169419 | − | 1.06967i | ||||
\(899\) | 206.380i | 0.229567i | ||||||||
\(900\) | 110.600 | + | 101.329i | 0.122889 | + | 0.112588i | ||||
\(901\) | −240.584 | −0.267019 | ||||||||
\(902\) | −215.721 | + | 34.1669i | −0.239159 | + | 0.0378791i | ||||
\(903\) | 556.088 | − | 1091.38i | 0.615823 | − | 1.20862i | ||||
\(904\) | 291.627 | − | 94.7554i | 0.322596 | − | 0.104818i | ||||
\(905\) | 173.138 | + | 67.3214i | 0.191313 | + | 0.0743883i | ||||
\(906\) | 56.0224 | − | 172.419i | 0.0618349 | − | 0.190308i | ||||
\(907\) | 332.168 | − | 332.168i | 0.366227 | − | 0.366227i | −0.499872 | − | 0.866099i | \(-0.666620\pi\) |
0.866099 | + | 0.499872i | \(0.166620\pi\) | |||||||
\(908\) | −376.095 | + | 191.630i | −0.414202 | + | 0.211046i | ||||
\(909\) | 239.839 | + | 330.110i | 0.263849 | + | 0.363157i | ||||
\(910\) | 905.818 | + | 1014.80i | 0.995404 | + | 1.11516i | ||||
\(911\) | 307.347 | + | 223.300i | 0.337373 | + | 0.245116i | 0.743553 | − | 0.668678i | \(-0.233139\pi\) |
−0.406180 | + | 0.913793i | \(0.633139\pi\) | |||||||
\(912\) | 26.2231 | − | 165.566i | 0.0287534 | − | 0.181542i | ||||
\(913\) | 113.583 | + | 17.9898i | 0.124406 | + | 0.0197040i | ||||
\(914\) | −227.301 | + | 312.852i | −0.248688 | + | 0.342289i | ||||
\(915\) | 350.936 | + | 797.474i | 0.383537 | + | 0.871556i | ||||
\(916\) | −571.199 | + | 415.001i | −0.623580 | + | 0.453058i | ||||
\(917\) | −178.846 | − | 351.004i | −0.195033 | − | 0.382774i | ||||
\(918\) | 92.0914 | + | 92.0914i | 0.100317 | + | 0.100317i | ||||
\(919\) | 669.914 | + | 217.668i | 0.728959 | + | 0.236853i | 0.649903 | − | 0.760017i | \(-0.274809\pi\) |
0.0790560 | + | 0.996870i | \(0.474809\pi\) | |||||||
\(920\) | −8.49069 | + | 5.46189i | −0.00922901 | + | 0.00593684i | ||||
\(921\) | −7.23322 | − | 22.2615i | −0.00785365 | − | 0.0241711i | ||||
\(922\) | 714.269 | + | 363.938i | 0.774695 | + | 0.394727i | ||||
\(923\) | −385.425 | − | 2433.48i | −0.417578 | − | 2.63649i | ||||
\(924\) | − | 161.082i | − | 0.174332i | ||||||
\(925\) | 251.024 | − | 905.455i | 0.271377 | − | 0.978871i | ||||
\(926\) | 407.260 | 0.439805 | ||||||||
\(927\) | −503.232 | + | 79.7041i | −0.542861 | + | 0.0859807i | ||||
\(928\) | 51.9807 | − | 102.018i | 0.0560137 | − | 0.109933i | ||||
\(929\) | −1417.16 | + | 460.465i | −1.52547 | + | 0.495656i | −0.947325 | − | 0.320275i | \(-0.896225\pi\) |
−0.578149 | + | 0.815931i | \(0.696225\pi\) | |||||||
\(930\) | −79.0084 | + | 96.7096i | −0.0849552 | + | 0.103989i | ||||
\(931\) | −294.430 | + | 906.162i | −0.316251 | + | 0.973321i | ||||
\(932\) | 385.786 | − | 385.786i | 0.413934 | − | 0.413934i | ||||
\(933\) | 26.3492 | − | 13.4256i | 0.0282414 | − | 0.0143897i | ||||
\(934\) | 506.899 | + | 697.687i | 0.542719 | + | 0.746988i | ||||
\(935\) | −428.342 | − | 92.9835i | −0.458119 | − | 0.0994476i | ||||
\(936\) | −140.471 | − | 102.058i | −0.150076 | − | 0.109037i | ||||
\(937\) | 141.229 | − | 891.684i | 0.150725 | − | 0.951638i | −0.790158 | − | 0.612904i | \(-0.790001\pi\) |
0.940882 | − | 0.338734i | \(-0.109999\pi\) | |||||||
\(938\) | −432.064 | − | 68.4322i | −0.460622 | − | 0.0729554i | ||||
\(939\) | −215.517 | + | 296.634i | −0.229518 | + | 0.315904i | ||||
\(940\) | −84.9966 | + | 391.549i | −0.0904219 | + | 0.416541i | ||||
\(941\) | −1014.64 | + | 737.180i | −1.07826 | + | 0.783401i | −0.977378 | − | 0.211498i | \(-0.932166\pi\) |
−0.100880 | + | 0.994899i | \(0.532166\pi\) | |||||||
\(942\) | 152.578 | + | 299.451i | 0.161972 | + | 0.317888i | ||||
\(943\) | 15.7610 | + | 15.7610i | 0.0167137 | + | 0.0167137i | ||||
\(944\) | −269.289 | − | 87.4974i | −0.285264 | − | 0.0926879i | ||||
\(945\) | 189.149 | + | 154.528i | 0.200157 | + | 0.163522i | ||||
\(946\) | −162.607 | − | 500.454i | −0.171889 | − | 0.529021i | ||||
\(947\) | −0.308372 | − | 0.157123i | −0.000325630 | − | 0.000165917i | 0.453828 | − | 0.891089i | \(-0.350058\pi\) |
−0.454153 | + | 0.890924i | \(0.650058\pi\) | |||||||
\(948\) | −66.2621 | − | 418.363i | −0.0698968 | − | 0.441311i | ||||
\(949\) | − | 998.111i | − | 1.05175i | ||||||
\(950\) | −824.339 | − | 228.536i | −0.867725 | − | 0.240564i | ||||
\(951\) | 433.466 | 0.455800 | ||||||||
\(952\) | −465.455 | + | 73.7208i | −0.488923 | + | 0.0774378i | ||||
\(953\) | −746.808 | + | 1465.69i | −0.783639 | + | 1.53798i | 0.0582354 | + | 0.998303i | \(0.481453\pi\) |
−0.841874 | + | 0.539674i | \(0.818547\pi\) | |||||||
\(954\) | 54.7737 | − | 17.7971i | 0.0574148 | − | 0.0186552i | ||||
\(955\) | 576.152 | + | 895.648i | 0.603301 | + | 0.937851i | ||||
\(956\) | −67.5807 | + | 207.992i | −0.0706911 | + | 0.217565i | ||||
\(957\) | 122.616 | − | 122.616i | 0.128126 | − | 0.128126i | ||||
\(958\) | 736.252 | − | 375.139i | 0.768530 | − | 0.391586i | ||||
\(959\) | 851.347 | + | 1171.78i | 0.887744 | + | 1.22187i | ||||
\(960\) | 63.4135 | − | 27.9057i | 0.0660557 | − | 0.0290685i | ||||
\(961\) | 693.354 | + | 503.751i | 0.721492 | + | 0.524195i | ||||
\(962\) | −170.144 | + | 1074.25i | −0.176865 | + | 1.11668i | ||||
\(963\) | −117.993 | − | 18.6883i | −0.122527 | − | 0.0194064i | ||||
\(964\) | −100.571 | + | 138.423i | −0.104326 | + | 0.143593i | ||||
\(965\) | −684.345 | + | 610.852i | −0.709166 | + | 0.633008i | ||||
\(966\) | −13.2994 | + | 9.66258i | −0.0137675 | + | 0.0100027i | ||||
\(967\) | −772.907 | − | 1516.91i | −0.799283 | − | 1.56868i | −0.822373 | − | 0.568948i | \(-0.807351\pi\) |
0.0230904 | − | 0.999733i | \(-0.492649\pi\) | |||||||
\(968\) | 193.068 | + | 193.068i | 0.199450 | + | 0.199450i | ||||
\(969\) | −706.374 | − | 229.515i | −0.728972 | − | 0.236857i | ||||
\(970\) | 244.852 | − | 629.714i | 0.252425 | − | 0.649189i | ||||
\(971\) | −33.4239 | − | 102.868i | −0.0344222 | − | 0.105941i | 0.932369 | − | 0.361508i | \(-0.117738\pi\) |
−0.966791 | + | 0.255567i | \(0.917738\pi\) | |||||||
\(972\) | −27.7788 | − | 14.1540i | −0.0285790 | − | 0.0145618i | ||||
\(973\) | −334.118 | − | 2109.54i | −0.343390 | − | 2.16808i | ||||
\(974\) | 214.354i | 0.220076i | ||||||||
\(975\) | −598.560 | + | 653.322i | −0.613908 | + | 0.670074i | ||||
\(976\) | 402.425 | 0.412320 | ||||||||
\(977\) | 1074.62 | − | 170.203i | 1.09992 | − | 0.174210i | 0.420019 | − | 0.907515i | \(-0.362023\pi\) |
0.679900 | + | 0.733305i | \(0.262023\pi\) | |||||||
\(978\) | −203.444 | + | 399.282i | −0.208021 | + | 0.408264i | ||||
\(979\) | 613.576 | − | 199.363i | 0.626738 | − | 0.203639i | ||||
\(980\) | −380.813 | + | 100.277i | −0.388585 | + | 0.102323i | ||||
\(981\) | −54.3669 | + | 167.324i | −0.0554199 | + | 0.170565i | ||||
\(982\) | 193.078 | − | 193.078i | 0.196617 | − | 0.196617i | ||||
\(983\) | 435.149 | − | 221.720i | 0.442674 | − | 0.225554i | −0.218423 | − | 0.975854i | \(-0.570091\pi\) |
0.661097 | + | 0.750300i | \(0.270091\pi\) | |||||||
\(984\) | −89.9085 | − | 123.748i | −0.0913704 | − | 0.125761i | ||||
\(985\) | −856.120 | + | 1468.15i | −0.869157 | + | 1.49051i | ||||
\(986\) | −410.422 | − | 298.189i | −0.416249 | − | 0.302423i | ||||
\(987\) | −102.060 | + | 644.378i | −0.103404 | + | 0.652866i | ||||
\(988\) | 978.010 | + | 154.902i | 0.989889 | + | 0.156783i | ||||
\(989\) | −31.5648 | + | 43.4452i | −0.0319158 | + | 0.0439284i | ||||
\(990\) | 104.399 | − | 10.5168i | 0.105453 | − | 0.0106230i | ||||
\(991\) | 646.001 | − | 469.347i | 0.651867 | − | 0.473609i | −0.212039 | − | 0.977261i | \(-0.568011\pi\) |
0.863907 | + | 0.503652i | \(0.168011\pi\) | |||||||
\(992\) | 26.1860 | + | 51.3930i | 0.0263972 | + | 0.0518074i | ||||
\(993\) | 383.675 | + | 383.675i | 0.386380 | + | 0.386380i | ||||
\(994\) | 1522.44 | + | 494.672i | 1.53163 | + | 0.497658i | ||||
\(995\) | 19.0959 | + | 1.08355i | 0.0191919 | + | 0.00108900i | ||||
\(996\) | 24.8877 | + | 76.5965i | 0.0249877 | + | 0.0769041i | ||||
\(997\) | 1558.07 | + | 793.878i | 1.56276 | + | 0.796266i | 0.999549 | − | 0.0300459i | \(-0.00956535\pi\) |
0.563212 | + | 0.826312i | \(0.309565\pi\) | |||||||
\(998\) | 113.464 | + | 716.381i | 0.113691 | + | 0.717817i | ||||
\(999\) | 195.294i | 0.195489i |
(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 | 150.3.k.b.13.2 | ✓ | 48 | |
25.2 | odd | 20 | inner | 150.3.k.b.127.2 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.3.k.b.13.2 | ✓ | 48 | 1.1 | even | 1 | trivial | |
150.3.k.b.127.2 | yes | 48 | 25.2 | odd | 20 | inner |