Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,3,Mod(7,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 7]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.g (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.899184872389\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 3 x^{14} - 4 x^{13} + 77 x^{12} + 88 x^{11} - 577 x^{10} + 578 x^{9} + 1520 x^{8} + 1868 x^{7} - 1619 x^{6} - 16804 x^{5} + 32427 x^{4} + 43316 x^{3} + \cdots + 83521 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 13.3 | ||
Root | \(0.988132 + 0.846795i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.13 |
Dual form | 33.3.g.a.28.3 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.28981 | + | 0.419086i | 0.644907 | + | 0.209543i | 0.613167 | − | 0.789953i | \(-0.289895\pi\) |
0.0317398 | + | 0.999496i | \(0.489895\pi\) | |||||||
\(3\) | 1.40126 | − | 1.01807i | 0.467086 | − | 0.339358i | ||||
\(4\) | −1.74808 | − | 1.27006i | −0.437020 | − | 0.317514i | ||||
\(5\) | 0.708979 | + | 2.18201i | 0.141796 | + | 0.436402i | 0.996585 | − | 0.0825729i | \(-0.0263137\pi\) |
−0.854789 | + | 0.518975i | \(0.826314\pi\) | |||||||
\(6\) | 2.23402 | − | 0.725878i | 0.372337 | − | 0.120980i | ||||
\(7\) | −5.74346 | + | 7.90520i | −0.820495 | + | 1.12931i | 0.169123 | + | 0.985595i | \(0.445906\pi\) |
−0.989618 | + | 0.143720i | \(0.954094\pi\) | |||||||
\(8\) | −4.91103 | − | 6.75946i | −0.613879 | − | 0.844932i | ||||
\(9\) | 0.927051 | − | 2.85317i | 0.103006 | − | 0.317019i | ||||
\(10\) | 3.11151i | 0.311151i | ||||||||
\(11\) | 10.3340 | − | 3.76954i | 0.939450 | − | 0.342686i | ||||
\(12\) | −3.74252 | −0.311877 | ||||||||
\(13\) | −14.6363 | − | 4.75561i | −1.12587 | − | 0.365816i | −0.313862 | − | 0.949468i | \(-0.601623\pi\) |
−0.812004 | + | 0.583652i | \(0.801623\pi\) | |||||||
\(14\) | −10.7210 | + | 7.78923i | −0.765783 | + | 0.556374i | ||||
\(15\) | 3.21491 | + | 2.33577i | 0.214327 | + | 0.155718i | ||||
\(16\) | −0.830695 | − | 2.55662i | −0.0519184 | − | 0.159789i | ||||
\(17\) | 11.2386 | − | 3.65165i | 0.661096 | − | 0.214803i | 0.0407956 | − | 0.999168i | \(-0.487011\pi\) |
0.620300 | + | 0.784364i | \(0.287011\pi\) | |||||||
\(18\) | 2.39145 | − | 3.29154i | 0.132858 | − | 0.182864i | ||||
\(19\) | 7.10329 | + | 9.77683i | 0.373857 | + | 0.514570i | 0.953944 | − | 0.299984i | \(-0.0969814\pi\) |
−0.580087 | + | 0.814555i | \(0.696981\pi\) | |||||||
\(20\) | 1.53192 | − | 4.71477i | 0.0765962 | − | 0.235739i | ||||
\(21\) | 16.9245i | 0.805929i | ||||||||
\(22\) | 14.9086 | − | 0.531195i | 0.677665 | − | 0.0241452i | ||||
\(23\) | 16.6610 | 0.724390 | 0.362195 | − | 0.932102i | \(-0.382027\pi\) | ||||
0.362195 | + | 0.932102i | \(0.382027\pi\) | |||||||
\(24\) | −13.7633 | − | 4.47195i | −0.573469 | − | 0.186331i | ||||
\(25\) | 15.9669 | − | 11.6006i | 0.638676 | − | 0.464025i | ||||
\(26\) | −16.8850 | − | 12.2677i | −0.649425 | − | 0.471835i | ||||
\(27\) | −1.60570 | − | 4.94183i | −0.0594703 | − | 0.183031i | ||||
\(28\) | 20.0801 | − | 6.52441i | 0.717146 | − | 0.233015i | ||||
\(29\) | −15.6013 | + | 21.4734i | −0.537977 | + | 0.740462i | −0.988320 | − | 0.152394i | \(-0.951302\pi\) |
0.450343 | + | 0.892856i | \(0.351302\pi\) | |||||||
\(30\) | 3.16775 | + | 4.36003i | 0.105592 | + | 0.145334i | ||||
\(31\) | 1.28594 | − | 3.95770i | 0.0414818 | − | 0.127668i | −0.928171 | − | 0.372154i | \(-0.878619\pi\) |
0.969653 | + | 0.244486i | \(0.0786193\pi\) | |||||||
\(32\) | 29.7749i | 0.930466i | ||||||||
\(33\) | 10.6429 | − | 15.8028i | 0.322511 | − | 0.478874i | ||||
\(34\) | 16.0261 | 0.471356 | ||||||||
\(35\) | −21.3212 | − | 6.92769i | −0.609178 | − | 0.197934i | ||||
\(36\) | −5.24424 | + | 3.81017i | −0.145673 | + | 0.105838i | ||||
\(37\) | −54.4646 | − | 39.5709i | −1.47202 | − | 1.06948i | −0.980023 | − | 0.198884i | \(-0.936268\pi\) |
−0.491994 | − | 0.870599i | \(-0.663732\pi\) | |||||||
\(38\) | 5.06458 | + | 15.5872i | 0.133279 | + | 0.410189i | ||||
\(39\) | −25.3507 | + | 8.23696i | −0.650019 | + | 0.211204i | ||||
\(40\) | 11.2674 | − | 15.5082i | 0.281685 | − | 0.387706i | ||||
\(41\) | −10.6080 | − | 14.6006i | −0.258731 | − | 0.356113i | 0.659814 | − | 0.751429i | \(-0.270635\pi\) |
−0.918545 | + | 0.395316i | \(0.870635\pi\) | |||||||
\(42\) | −7.09282 | + | 21.8295i | −0.168877 | + | 0.519749i | ||||
\(43\) | 46.3735i | 1.07845i | 0.842160 | + | 0.539227i | \(0.181284\pi\) | ||||
−0.842160 | + | 0.539227i | \(0.818716\pi\) | |||||||
\(44\) | −22.8521 | − | 6.53522i | −0.519366 | − | 0.148528i | ||||
\(45\) | 6.88291 | 0.152954 | ||||||||
\(46\) | 21.4896 | + | 6.98238i | 0.467164 | + | 0.151791i | ||||
\(47\) | −49.2812 | + | 35.8049i | −1.04854 | + | 0.761806i | −0.971934 | − | 0.235255i | \(-0.924407\pi\) |
−0.0766030 | + | 0.997062i | \(0.524407\pi\) | |||||||
\(48\) | −3.76684 | − | 2.73677i | −0.0784759 | − | 0.0570161i | ||||
\(49\) | −14.3630 | − | 44.2047i | −0.293122 | − | 0.902137i | ||||
\(50\) | 25.4560 | − | 8.27115i | 0.509120 | − | 0.165423i | ||||
\(51\) | 12.0306 | − | 16.5587i | 0.235894 | − | 0.324680i | ||||
\(52\) | 19.5455 | + | 26.9020i | 0.375875 | + | 0.517347i | ||||
\(53\) | 31.2773 | − | 96.2616i | 0.590138 | − | 1.81626i | 0.0125594 | − | 0.999921i | \(-0.496002\pi\) |
0.577578 | − | 0.816335i | \(-0.303998\pi\) | |||||||
\(54\) | − | 7.04697i | − | 0.130500i | ||||||
\(55\) | 15.5517 | + | 19.8763i | 0.282759 | + | 0.361387i | ||||
\(56\) | 81.6412 | 1.45788 | ||||||||
\(57\) | 19.9071 | + | 6.46820i | 0.349247 | + | 0.113477i | ||||
\(58\) | −29.1220 | + | 21.1584i | −0.502104 | + | 0.364800i | ||||
\(59\) | 78.7122 | + | 57.1878i | 1.33411 | + | 0.969284i | 0.999639 | + | 0.0268769i | \(0.00855621\pi\) |
0.334467 | + | 0.942408i | \(0.391444\pi\) | |||||||
\(60\) | −2.65337 | − | 8.16623i | −0.0442228 | − | 0.136104i | ||||
\(61\) | 1.19706 | − | 0.388949i | 0.0196240 | − | 0.00637621i | −0.299189 | − | 0.954194i | \(-0.596716\pi\) |
0.318813 | + | 0.947818i | \(0.396716\pi\) | |||||||
\(62\) | 3.31724 | − | 4.56578i | 0.0535038 | − | 0.0736416i | ||||
\(63\) | 17.2304 | + | 23.7156i | 0.273498 | + | 0.376438i | ||||
\(64\) | −15.8010 | + | 48.6305i | −0.246891 | + | 0.759852i | ||||
\(65\) | − | 35.3081i | − | 0.543202i | ||||||
\(66\) | 20.3501 | − | 15.9224i | 0.308334 | − | 0.241249i | ||||
\(67\) | −55.1168 | −0.822638 | −0.411319 | − | 0.911491i | \(-0.634932\pi\) | ||||
−0.411319 | + | 0.911491i | \(0.634932\pi\) | |||||||
\(68\) | −24.2838 | − | 7.89030i | −0.357115 | − | 0.116034i | ||||
\(69\) | 23.3463 | − | 16.9621i | 0.338353 | − | 0.245828i | ||||
\(70\) | −24.5971 | − | 17.8709i | −0.351388 | − | 0.255298i | ||||
\(71\) | −4.62167 | − | 14.2240i | −0.0650939 | − | 0.200338i | 0.913220 | − | 0.407467i | \(-0.133588\pi\) |
−0.978314 | + | 0.207129i | \(0.933588\pi\) | |||||||
\(72\) | −23.8387 | + | 7.74565i | −0.331092 | + | 0.107578i | ||||
\(73\) | −44.6021 | + | 61.3895i | −0.610987 | + | 0.840952i | −0.996658 | − | 0.0816847i | \(-0.973970\pi\) |
0.385671 | + | 0.922636i | \(0.373970\pi\) | |||||||
\(74\) | −53.6656 | − | 73.8644i | −0.725211 | − | 0.998168i | ||||
\(75\) | 10.5635 | − | 32.5110i | 0.140846 | − | 0.433480i | ||||
\(76\) | − | 26.1123i | − | 0.343582i | ||||||
\(77\) | −29.5537 | + | 103.342i | −0.383814 | + | 1.34211i | ||||
\(78\) | −36.1497 | −0.463458 | ||||||||
\(79\) | 27.7900 | + | 9.02950i | 0.351772 | + | 0.114298i | 0.479572 | − | 0.877502i | \(-0.340792\pi\) |
−0.127801 | + | 0.991800i | \(0.540792\pi\) | |||||||
\(80\) | 4.98962 | − | 3.62517i | 0.0623703 | − | 0.0453147i | ||||
\(81\) | −7.28115 | − | 5.29007i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | −7.56341 | − | 23.2778i | −0.0922367 | − | 0.283875i | ||||
\(83\) | −6.06044 | + | 1.96915i | −0.0730173 | + | 0.0237248i | −0.345298 | − | 0.938493i | \(-0.612222\pi\) |
0.272281 | + | 0.962218i | \(0.412222\pi\) | |||||||
\(84\) | 21.4951 | − | 29.5854i | 0.255893 | − | 0.352207i | ||||
\(85\) | 15.9359 | + | 21.9339i | 0.187481 | + | 0.258046i | ||||
\(86\) | −19.4345 | + | 59.8133i | −0.225983 | + | 0.695503i | ||||
\(87\) | 45.9731i | 0.528427i | ||||||||
\(88\) | −76.2304 | − | 51.3395i | −0.866255 | − | 0.583404i | ||||
\(89\) | −3.95503 | −0.0444385 | −0.0222193 | − | 0.999753i | \(-0.507073\pi\) | ||||
−0.0222193 | + | 0.999753i | \(0.507073\pi\) | |||||||
\(90\) | 8.87767 | + | 2.88453i | 0.0986408 | + | 0.0320503i | ||||
\(91\) | 121.657 | − | 88.3889i | 1.33689 | − | 0.971306i | ||||
\(92\) | −29.1247 | − | 21.1604i | −0.316573 | − | 0.230004i | ||||
\(93\) | −2.22731 | − | 6.85494i | −0.0239495 | − | 0.0737090i | ||||
\(94\) | −78.5689 | + | 25.5286i | −0.835840 | + | 0.271581i | ||||
\(95\) | −16.2971 | + | 22.4310i | −0.171548 | + | 0.236116i | ||||
\(96\) | 30.3130 | + | 41.7223i | 0.315761 | + | 0.434608i | ||||
\(97\) | −10.2392 | + | 31.5131i | −0.105559 | + | 0.324877i | −0.989861 | − | 0.142038i | \(-0.954635\pi\) |
0.884302 | + | 0.466915i | \(0.154635\pi\) | |||||||
\(98\) | − | 63.0352i | − | 0.643216i | ||||||
\(99\) | −1.17504 | − | 32.9791i | −0.0118691 | − | 0.333122i | ||||
\(100\) | −42.6449 | −0.426449 | ||||||||
\(101\) | 92.3279 | + | 29.9992i | 0.914138 | + | 0.297021i | 0.728060 | − | 0.685514i | \(-0.240422\pi\) |
0.186078 | + | 0.982535i | \(0.440422\pi\) | |||||||
\(102\) | 22.4567 | − | 16.3158i | 0.220164 | − | 0.159958i | ||||
\(103\) | 150.522 | + | 109.361i | 1.46138 | + | 1.06175i | 0.983001 | + | 0.183602i | \(0.0587757\pi\) |
0.478380 | + | 0.878153i | \(0.341224\pi\) | |||||||
\(104\) | 39.7338 | + | 122.288i | 0.382056 | + | 1.17585i | ||||
\(105\) | −36.9295 | + | 11.9991i | −0.351709 | + | 0.114277i | ||||
\(106\) | 80.6838 | − | 111.052i | 0.761168 | − | 1.04766i | ||||
\(107\) | −112.786 | − | 155.236i | −1.05407 | − | 1.45081i | −0.885224 | − | 0.465165i | \(-0.845995\pi\) |
−0.168849 | − | 0.985642i | \(-0.554005\pi\) | |||||||
\(108\) | −3.46951 | + | 10.6781i | −0.0321251 | + | 0.0988709i | ||||
\(109\) | − | 113.760i | − | 1.04367i | −0.853047 | − | 0.521834i | \(-0.825248\pi\) | ||
0.853047 | − | 0.521834i | \(-0.174752\pi\) | |||||||
\(110\) | 11.7290 | + | 32.1542i | 0.106627 | + | 0.292311i | ||||
\(111\) | −116.605 | −1.05050 | ||||||||
\(112\) | 24.9816 | + | 8.11703i | 0.223050 | + | 0.0724734i | ||||
\(113\) | −13.2504 | + | 9.62696i | −0.117260 | + | 0.0851944i | −0.644870 | − | 0.764293i | \(-0.723088\pi\) |
0.527610 | + | 0.849487i | \(0.323088\pi\) | |||||||
\(114\) | 22.9657 | + | 16.6856i | 0.201453 | + | 0.146365i | ||||
\(115\) | 11.8123 | + | 36.3544i | 0.102715 | + | 0.316125i | ||||
\(116\) | 54.5448 | − | 17.7227i | 0.470214 | − | 0.152782i | ||||
\(117\) | −27.1371 | + | 37.3510i | −0.231941 | + | 0.319240i | ||||
\(118\) | 77.5575 | + | 106.749i | 0.657267 | + | 0.904651i | ||||
\(119\) | −35.6816 | + | 109.817i | −0.299846 | + | 0.922830i | ||||
\(120\) | − | 33.2021i | − | 0.276684i | ||||||
\(121\) | 92.5811 | − | 77.9085i | 0.765133 | − | 0.643872i | ||||
\(122\) | 1.70699 | 0.0139917 | ||||||||
\(123\) | −29.7291 | − | 9.65956i | −0.241700 | − | 0.0785330i | ||||
\(124\) | −7.27442 | + | 5.28518i | −0.0586647 | + | 0.0426224i | ||||
\(125\) | 83.0361 | + | 60.3293i | 0.664289 | + | 0.482634i | ||||
\(126\) | 12.2851 | + | 37.8097i | 0.0975010 | + | 0.300077i | ||||
\(127\) | 5.31423 | − | 1.72670i | 0.0418443 | − | 0.0135960i | −0.288020 | − | 0.957624i | \(-0.592997\pi\) |
0.329864 | + | 0.944028i | \(0.392997\pi\) | |||||||
\(128\) | 29.2442 | − | 40.2512i | 0.228471 | − | 0.314463i | ||||
\(129\) | 47.2117 | + | 64.9813i | 0.365982 | + | 0.503731i | ||||
\(130\) | 14.7971 | − | 45.5409i | 0.113824 | − | 0.350315i | ||||
\(131\) | − | 225.713i | − | 1.72300i | −0.507758 | − | 0.861500i | \(-0.669526\pi\) | ||
0.507758 | − | 0.861500i | \(-0.330474\pi\) | |||||||
\(132\) | −38.6751 | + | 14.1076i | −0.292993 | + | 0.106876i | ||||
\(133\) | −118.085 | −0.887860 | ||||||||
\(134\) | −71.0904 | − | 23.0987i | −0.530525 | − | 0.172378i | ||||
\(135\) | 9.64473 | − | 7.00731i | 0.0714425 | − | 0.0519060i | ||||
\(136\) | −79.8765 | − | 58.0336i | −0.587327 | − | 0.426718i | ||||
\(137\) | 16.1770 | + | 49.7877i | 0.118080 | + | 0.363414i | 0.992577 | − | 0.121618i | \(-0.0388081\pi\) |
−0.874497 | + | 0.485031i | \(0.838808\pi\) | |||||||
\(138\) | 37.2210 | − | 12.0938i | 0.269717 | − | 0.0876365i | ||||
\(139\) | 16.4968 | − | 22.7058i | 0.118682 | − | 0.163351i | −0.745543 | − | 0.666458i | \(-0.767810\pi\) |
0.864224 | + | 0.503106i | \(0.167810\pi\) | |||||||
\(140\) | 28.4727 | + | 39.1893i | 0.203376 | + | 0.279924i | ||||
\(141\) | −32.6037 | + | 100.344i | −0.231232 | + | 0.711659i | ||||
\(142\) | − | 20.2832i | − | 0.142840i | ||||||
\(143\) | −169.177 | + | 6.02777i | −1.18305 | + | 0.0421523i | ||||
\(144\) | −8.06456 | −0.0560039 | ||||||||
\(145\) | −57.9162 | − | 18.8181i | −0.399422 | − | 0.129780i | ||||
\(146\) | −83.2558 | + | 60.4889i | −0.570245 | + | 0.414308i | ||||
\(147\) | −65.1299 | − | 47.3197i | −0.443061 | − | 0.321902i | ||||
\(148\) | 44.9514 | + | 138.346i | 0.303726 | + | 0.934771i | ||||
\(149\) | 10.6920 | − | 3.47406i | 0.0717587 | − | 0.0233158i | −0.272918 | − | 0.962037i | \(-0.587989\pi\) |
0.344676 | + | 0.938722i | \(0.387989\pi\) | |||||||
\(150\) | 27.2498 | − | 37.5061i | 0.181665 | − | 0.250041i | ||||
\(151\) | −59.4636 | − | 81.8446i | −0.393799 | − | 0.542018i | 0.565375 | − | 0.824834i | \(-0.308731\pi\) |
−0.959174 | + | 0.282816i | \(0.908731\pi\) | |||||||
\(152\) | 31.2016 | − | 96.0287i | 0.205274 | − | 0.631768i | ||||
\(153\) | − | 35.4510i | − | 0.231706i | ||||||
\(154\) | −81.4280 | + | 120.907i | −0.528753 | + | 0.785108i | ||||
\(155\) | 9.54745 | 0.0615965 | ||||||||
\(156\) | 54.7765 | + | 17.7980i | 0.351132 | + | 0.114090i | ||||
\(157\) | −15.4295 | + | 11.2102i | −0.0982772 | + | 0.0714025i | −0.635839 | − | 0.771822i | \(-0.719346\pi\) |
0.537561 | + | 0.843225i | \(0.319346\pi\) | |||||||
\(158\) | 32.0597 | + | 23.2928i | 0.202910 | + | 0.147423i | ||||
\(159\) | −54.1739 | − | 166.730i | −0.340716 | − | 1.04862i | ||||
\(160\) | −64.9692 | + | 21.1098i | −0.406057 | + | 0.131936i | ||||
\(161\) | −95.6917 | + | 131.708i | −0.594358 | + | 0.818064i | ||||
\(162\) | −7.17434 | − | 9.87463i | −0.0442860 | − | 0.0609545i | ||||
\(163\) | −4.46584 | + | 13.7444i | −0.0273978 | + | 0.0843217i | −0.963820 | − | 0.266552i | \(-0.914115\pi\) |
0.936423 | + | 0.350874i | \(0.114115\pi\) | |||||||
\(164\) | 38.9958i | 0.237779i | ||||||||
\(165\) | 42.0275 | + | 12.0190i | 0.254712 | + | 0.0728423i | ||||
\(166\) | −8.64208 | −0.0520607 | ||||||||
\(167\) | 125.427 | + | 40.7538i | 0.751062 | + | 0.244035i | 0.659438 | − | 0.751759i | \(-0.270794\pi\) |
0.0916237 | + | 0.995794i | \(0.470794\pi\) | |||||||
\(168\) | 114.400 | − | 83.1168i | 0.680955 | − | 0.494743i | ||||
\(169\) | 54.8803 | + | 39.8729i | 0.324736 | + | 0.235934i | ||||
\(170\) | 11.3622 | + | 34.9691i | 0.0668362 | + | 0.205701i | ||||
\(171\) | 34.4801 | − | 11.2033i | 0.201638 | − | 0.0655161i | ||||
\(172\) | 58.8970 | − | 81.0647i | 0.342424 | − | 0.471306i | ||||
\(173\) | −20.6503 | − | 28.4227i | −0.119366 | − | 0.164293i | 0.745153 | − | 0.666894i | \(-0.232377\pi\) |
−0.864519 | + | 0.502601i | \(0.832377\pi\) | |||||||
\(174\) | −19.2667 | + | 59.2968i | −0.110728 | + | 0.340786i | ||||
\(175\) | 192.849i | 1.10200i | ||||||||
\(176\) | −18.2216 | − | 23.2886i | −0.103532 | − | 0.132322i | ||||
\(177\) | 168.518 | 0.952077 | ||||||||
\(178\) | −5.10125 | − | 1.65750i | −0.0286587 | − | 0.00931178i | ||||
\(179\) | 146.405 | − | 106.370i | 0.817907 | − | 0.594244i | −0.0982054 | − | 0.995166i | \(-0.531310\pi\) |
0.916112 | + | 0.400922i | \(0.131310\pi\) | |||||||
\(180\) | −12.0319 | − | 8.74167i | −0.0668438 | − | 0.0485648i | ||||
\(181\) | 6.29265 | + | 19.3668i | 0.0347660 | + | 0.106999i | 0.966934 | − | 0.255028i | \(-0.0820848\pi\) |
−0.932168 | + | 0.362027i | \(0.882085\pi\) | |||||||
\(182\) | 193.957 | − | 63.0205i | 1.06570 | − | 0.346267i | ||||
\(183\) | 1.28141 | − | 1.76372i | 0.00700226 | − | 0.00963779i | ||||
\(184\) | −81.8226 | − | 112.619i | −0.444688 | − | 0.612060i | ||||
\(185\) | 47.7298 | − | 146.897i | 0.257999 | − | 0.794040i | ||||
\(186\) | − | 9.77503i | − | 0.0525539i | ||||||
\(187\) | 102.374 | − | 80.1005i | 0.547457 | − | 0.428345i | ||||
\(188\) | 131.622 | 0.700116 | ||||||||
\(189\) | 48.2885 | + | 15.6899i | 0.255495 | + | 0.0830152i | ||||
\(190\) | −30.4207 | + | 22.1020i | −0.160109 | + | 0.116326i | ||||
\(191\) | −48.1778 | − | 35.0032i | −0.252240 | − | 0.183263i | 0.454479 | − | 0.890757i | \(-0.349825\pi\) |
−0.706719 | + | 0.707495i | \(0.749825\pi\) | |||||||
\(192\) | 27.3682 | + | 84.2306i | 0.142543 | + | 0.438701i | ||||
\(193\) | −235.929 | + | 76.6578i | −1.22243 | + | 0.397191i | −0.847965 | − | 0.530051i | \(-0.822173\pi\) |
−0.374462 | + | 0.927242i | \(0.622173\pi\) | |||||||
\(194\) | −26.4134 | + | 36.3549i | −0.136151 | + | 0.187396i | ||||
\(195\) | −35.9463 | − | 49.4758i | −0.184340 | − | 0.253722i | ||||
\(196\) | −31.0348 | + | 95.5152i | −0.158341 | + | 0.487323i | ||||
\(197\) | 166.342i | 0.844374i | 0.906509 | + | 0.422187i | \(0.138737\pi\) | ||||
−0.906509 | + | 0.422187i | \(0.861263\pi\) | |||||||
\(198\) | 12.3055 | − | 43.0293i | 0.0621489 | − | 0.217320i | ||||
\(199\) | 97.9933 | 0.492429 | 0.246214 | − | 0.969215i | \(-0.420813\pi\) | ||||
0.246214 | + | 0.969215i | \(0.420813\pi\) | |||||||
\(200\) | −156.828 | − | 50.9565i | −0.784140 | − | 0.254782i | ||||
\(201\) | −77.2328 | + | 56.1129i | −0.384243 | + | 0.279169i | ||||
\(202\) | 106.514 | + | 77.3866i | 0.527295 | + | 0.383102i | ||||
\(203\) | −80.1458 | − | 246.664i | −0.394807 | − | 1.21509i | ||||
\(204\) | −42.0608 | + | 13.6664i | −0.206181 | + | 0.0669921i | ||||
\(205\) | 24.3379 | − | 33.4983i | 0.118722 | − | 0.163406i | ||||
\(206\) | 148.314 | + | 204.137i | 0.719971 | + | 0.990955i | ||||
\(207\) | 15.4456 | − | 47.5366i | 0.0746163 | − | 0.229645i | ||||
\(208\) | 41.3698i | 0.198893i | ||||||||
\(209\) | 110.259 | + | 74.2572i | 0.527556 | + | 0.355298i | ||||
\(210\) | −52.6608 | −0.250766 | ||||||||
\(211\) | −11.0358 | − | 3.58574i | −0.0523023 | − | 0.0169940i | 0.282749 | − | 0.959194i | \(-0.408754\pi\) |
−0.335051 | + | 0.942200i | \(0.608754\pi\) | |||||||
\(212\) | −176.933 | + | 128.549i | −0.834589 | + | 0.606364i | ||||
\(213\) | −20.9573 | − | 15.2263i | −0.0983909 | − | 0.0714852i | ||||
\(214\) | −80.4153 | − | 247.493i | −0.375773 | − | 1.15651i | ||||
\(215\) | −101.188 | + | 32.8778i | −0.470640 | + | 0.152920i | ||||
\(216\) | −25.5185 | + | 35.1232i | −0.118141 | + | 0.162607i | ||||
\(217\) | 23.9007 | + | 32.8965i | 0.110142 | + | 0.151597i | ||||
\(218\) | 47.6751 | − | 146.729i | 0.218693 | − | 0.673069i | ||||
\(219\) | 131.431i | 0.600140i | ||||||||
\(220\) | −1.94172 | − | 54.4969i | −0.00882602 | − | 0.247713i | ||||
\(221\) | −181.857 | −0.822884 | ||||||||
\(222\) | −150.399 | − | 48.8676i | −0.677472 | − | 0.220124i | ||||
\(223\) | −252.345 | + | 183.339i | −1.13159 | + | 0.822149i | −0.985926 | − | 0.167185i | \(-0.946532\pi\) |
−0.145666 | + | 0.989334i | \(0.546532\pi\) | |||||||
\(224\) | −235.377 | − | 171.011i | −1.05079 | − | 0.763442i | ||||
\(225\) | −18.2964 | − | 56.3107i | −0.0813175 | − | 0.250270i | ||||
\(226\) | −21.1251 | + | 6.86395i | −0.0934737 | + | 0.0303714i | ||||
\(227\) | −5.60519 | + | 7.71488i | −0.0246925 | + | 0.0339863i | −0.821185 | − | 0.570662i | \(-0.806686\pi\) |
0.796492 | + | 0.604649i | \(0.206686\pi\) | |||||||
\(228\) | −26.5842 | − | 36.5900i | −0.116597 | − | 0.160483i | ||||
\(229\) | 62.0564 | − | 190.990i | 0.270989 | − | 0.834017i | −0.719264 | − | 0.694737i | \(-0.755521\pi\) |
0.990253 | − | 0.139281i | \(-0.0444791\pi\) | |||||||
\(230\) | 51.8408i | 0.225395i | ||||||||
\(231\) | 63.7976 | + | 174.897i | 0.276180 | + | 0.757130i | ||||
\(232\) | 221.767 | 0.955893 | ||||||||
\(233\) | 228.533 | + | 74.2548i | 0.980827 | + | 0.318690i | 0.755179 | − | 0.655519i | \(-0.227550\pi\) |
0.225648 | + | 0.974209i | \(0.427550\pi\) | |||||||
\(234\) | −50.6551 | + | 36.8031i | −0.216475 | + | 0.157278i | ||||
\(235\) | −113.066 | − | 82.1473i | −0.481132 | − | 0.349563i | ||||
\(236\) | −64.9637 | − | 199.938i | −0.275270 | − | 0.847194i | ||||
\(237\) | 48.1336 | − | 15.6396i | 0.203095 | − | 0.0659897i | ||||
\(238\) | −92.0453 | + | 126.690i | −0.386745 | + | 0.532309i | ||||
\(239\) | 47.4322 | + | 65.2848i | 0.198461 | + | 0.273158i | 0.896636 | − | 0.442769i | \(-0.146004\pi\) |
−0.698174 | + | 0.715928i | \(0.746004\pi\) | |||||||
\(240\) | 3.30106 | − | 10.1596i | 0.0137544 | − | 0.0423317i | ||||
\(241\) | 153.259i | 0.635928i | 0.948103 | + | 0.317964i | \(0.102999\pi\) | ||||
−0.948103 | + | 0.317964i | \(0.897001\pi\) | |||||||
\(242\) | 152.063 | − | 61.6881i | 0.628359 | − | 0.254909i | ||||
\(243\) | −15.5885 | −0.0641500 | ||||||||
\(244\) | −2.58655 | − | 0.840420i | −0.0106006 | − | 0.00344435i | ||||
\(245\) | 86.2722 | − | 62.6804i | 0.352131 | − | 0.255838i | ||||
\(246\) | −34.2968 | − | 24.9181i | −0.139418 | − | 0.101293i | ||||
\(247\) | −57.4707 | − | 176.877i | −0.232675 | − | 0.716100i | ||||
\(248\) | −33.0672 | + | 10.7442i | −0.133335 | + | 0.0433233i | ||||
\(249\) | −6.48749 | + | 8.92927i | −0.0260542 | + | 0.0358605i | ||||
\(250\) | 81.8180 | + | 112.613i | 0.327272 | + | 0.450451i | ||||
\(251\) | −108.893 | + | 335.138i | −0.433836 | + | 1.33521i | 0.460439 | + | 0.887691i | \(0.347692\pi\) |
−0.894275 | + | 0.447518i | \(0.852308\pi\) | |||||||
\(252\) | − | 63.3403i | − | 0.251351i | ||||||
\(253\) | 172.174 | − | 62.8042i | 0.680528 | − | 0.248238i | ||||
\(254\) | 7.57800 | 0.0298347 | ||||||||
\(255\) | 44.6606 | + | 14.5111i | 0.175140 | + | 0.0569063i | ||||
\(256\) | 220.059 | − | 159.882i | 0.859605 | − | 0.624539i | ||||
\(257\) | −104.897 | − | 76.2121i | −0.408159 | − | 0.296545i | 0.364697 | − | 0.931126i | \(-0.381173\pi\) |
−0.772856 | + | 0.634581i | \(0.781173\pi\) | |||||||
\(258\) | 33.6615 | + | 103.600i | 0.130471 | + | 0.401549i | ||||
\(259\) | 625.631 | − | 203.280i | 2.41557 | − | 0.784865i | ||||
\(260\) | −44.8432 | + | 61.7214i | −0.172474 | + | 0.237390i | ||||
\(261\) | 46.8040 | + | 64.4202i | 0.179326 | + | 0.246821i | ||||
\(262\) | 94.5931 | − | 291.128i | 0.361042 | − | 1.11117i | ||||
\(263\) | 180.174i | 0.685072i | 0.939505 | + | 0.342536i | \(0.111286\pi\) | ||||
−0.939505 | + | 0.342536i | \(0.888714\pi\) | |||||||
\(264\) | −159.086 | + | 5.66824i | −0.602598 | + | 0.0214706i | ||||
\(265\) | 232.219 | 0.876297 | ||||||||
\(266\) | −152.308 | − | 49.4879i | −0.572587 | − | 0.186045i | ||||
\(267\) | −5.54202 | + | 4.02651i | −0.0207566 | + | 0.0150806i | ||||
\(268\) | 96.3485 | + | 70.0013i | 0.359509 | + | 0.261199i | ||||
\(269\) | 103.985 | + | 320.033i | 0.386561 | + | 1.18971i | 0.935342 | + | 0.353746i | \(0.115092\pi\) |
−0.548781 | + | 0.835966i | \(0.684908\pi\) | |||||||
\(270\) | 15.3766 | − | 4.99615i | 0.0569503 | − | 0.0185043i | ||||
\(271\) | −129.003 | + | 177.557i | −0.476026 | + | 0.655193i | −0.977735 | − | 0.209843i | \(-0.932705\pi\) |
0.501709 | + | 0.865036i | \(0.332705\pi\) | |||||||
\(272\) | −18.6717 | − | 25.6995i | −0.0686461 | − | 0.0944833i | ||||
\(273\) | 80.4863 | − | 247.711i | 0.294822 | − | 0.907368i | ||||
\(274\) | 70.9964i | 0.259111i | ||||||||
\(275\) | 121.272 | − | 180.068i | 0.440989 | − | 0.654794i | ||||
\(276\) | −62.3541 | −0.225921 | ||||||||
\(277\) | −232.844 | − | 75.6555i | −0.840591 | − | 0.273125i | −0.143091 | − | 0.989709i | \(-0.545704\pi\) |
−0.697500 | + | 0.716585i | \(0.745704\pi\) | |||||||
\(278\) | 30.7934 | − | 22.3727i | 0.110768 | − | 0.0804775i | ||||
\(279\) | −10.0999 | − | 7.33798i | −0.0362002 | − | 0.0263010i | ||||
\(280\) | 57.8819 | + | 178.142i | 0.206721 | + | 0.636222i | ||||
\(281\) | −328.343 | + | 106.685i | −1.16848 | + | 0.379662i | −0.828075 | − | 0.560617i | \(-0.810564\pi\) |
−0.340404 | + | 0.940279i | \(0.610564\pi\) | |||||||
\(282\) | −84.1054 | + | 115.761i | −0.298246 | + | 0.410501i | ||||
\(283\) | −136.711 | − | 188.166i | −0.483077 | − | 0.664898i | 0.496016 | − | 0.868313i | \(-0.334796\pi\) |
−0.979093 | + | 0.203415i | \(0.934796\pi\) | |||||||
\(284\) | −9.98625 | + | 30.7345i | −0.0351629 | + | 0.108220i | ||||
\(285\) | 48.0233i | 0.168503i | ||||||||
\(286\) | −220.733 | − | 63.1249i | −0.771793 | − | 0.220717i | ||||
\(287\) | 176.348 | 0.614452 | ||||||||
\(288\) | 84.9528 | + | 27.6028i | 0.294975 | + | 0.0958432i | ||||
\(289\) | −120.834 | + | 87.7908i | −0.418110 | + | 0.303774i | ||||
\(290\) | −66.8148 | − | 48.5438i | −0.230396 | − | 0.167392i | ||||
\(291\) | 17.7349 | + | 54.5823i | 0.0609445 | + | 0.187568i | ||||
\(292\) | 155.936 | − | 50.6667i | 0.534027 | − | 0.173516i | ||||
\(293\) | 313.718 | − | 431.796i | 1.07071 | − | 1.47371i | 0.201355 | − | 0.979518i | \(-0.435465\pi\) |
0.869355 | − | 0.494188i | \(-0.164535\pi\) | |||||||
\(294\) | −64.1745 | − | 88.3286i | −0.218281 | − | 0.300437i | ||||
\(295\) | −68.9791 | + | 212.296i | −0.233828 | + | 0.719647i | ||||
\(296\) | 562.485i | 1.90029i | ||||||||
\(297\) | −35.2217 | − | 45.0159i | −0.118592 | − | 0.151569i | ||||
\(298\) | 15.2467 | 0.0511633 | ||||||||
\(299\) | −243.854 | − | 79.2331i | −0.815566 | − | 0.264993i | ||||
\(300\) | −59.7565 | + | 43.4156i | −0.199188 | + | 0.144719i | ||||
\(301\) | −366.592 | − | 266.345i | −1.21791 | − | 0.884867i | ||||
\(302\) | −42.3971 | − | 130.485i | −0.140388 | − | 0.432069i | ||||
\(303\) | 159.917 | − | 51.9601i | 0.527778 | − | 0.171485i | ||||
\(304\) | 19.0950 | − | 26.2819i | 0.0628123 | − | 0.0864538i | ||||
\(305\) | 1.69738 | + | 2.33625i | 0.00556519 | + | 0.00765982i | ||||
\(306\) | 14.8570 | − | 45.7252i | 0.0485523 | − | 0.149429i | ||||
\(307\) | − | 142.846i | − | 0.465296i | −0.972561 | − | 0.232648i | \(-0.925261\pi\) | ||
0.972561 | − | 0.232648i | \(-0.0747389\pi\) | |||||||
\(308\) | 182.913 | − | 143.116i | 0.593872 | − | 0.464661i | ||||
\(309\) | 322.258 | 1.04291 | ||||||||
\(310\) | 12.3144 | + | 4.00120i | 0.0397240 | + | 0.0129071i | ||||
\(311\) | 37.1343 | − | 26.9797i | 0.119403 | − | 0.0867514i | −0.526481 | − | 0.850187i | \(-0.676489\pi\) |
0.645884 | + | 0.763435i | \(0.276489\pi\) | |||||||
\(312\) | 180.176 | + | 130.905i | 0.577486 | + | 0.419568i | ||||
\(313\) | 110.168 | + | 339.062i | 0.351975 | + | 1.08327i | 0.957743 | + | 0.287625i | \(0.0928658\pi\) |
−0.605768 | + | 0.795641i | \(0.707134\pi\) | |||||||
\(314\) | −24.5992 | + | 7.99278i | −0.0783415 | + | 0.0254547i | ||||
\(315\) | −39.5317 | + | 54.4108i | −0.125498 | + | 0.172733i | ||||
\(316\) | −37.1111 | − | 51.0791i | −0.117440 | − | 0.161643i | ||||
\(317\) | −19.1154 | + | 58.8312i | −0.0603010 | + | 0.185587i | −0.976669 | − | 0.214749i | \(-0.931107\pi\) |
0.916368 | + | 0.400336i | \(0.131107\pi\) | |||||||
\(318\) | − | 237.754i | − | 0.747655i | ||||||
\(319\) | −80.2786 | + | 280.715i | −0.251657 | + | 0.879985i | ||||
\(320\) | −117.315 | −0.366609 | ||||||||
\(321\) | −316.084 | − | 102.702i | −0.984686 | − | 0.319944i | ||||
\(322\) | −178.622 | + | 129.776i | −0.554726 | + | 0.403032i | ||||
\(323\) | 115.533 | + | 83.9395i | 0.357687 | + | 0.259875i | ||||
\(324\) | 6.00937 | + | 18.4949i | 0.0185474 | + | 0.0570831i | ||||
\(325\) | −288.864 | + | 93.8575i | −0.888812 | + | 0.288792i | ||||
\(326\) | −11.5202 | + | 15.8562i | −0.0353380 | + | 0.0486386i | ||||
\(327\) | −115.816 | − | 159.407i | −0.354177 | − | 0.487483i | ||||
\(328\) | −46.5962 | + | 143.408i | −0.142062 | + | 0.437221i | ||||
\(329\) | − | 595.222i | − | 1.80919i | ||||||
\(330\) | 49.1707 | + | 33.1154i | 0.149002 | + | 0.100350i | ||||
\(331\) | −339.961 | −1.02707 | −0.513536 | − | 0.858068i | \(-0.671665\pi\) | ||||
−0.513536 | + | 0.858068i | \(0.671665\pi\) | |||||||
\(332\) | 13.0951 | + | 4.25485i | 0.0394430 | + | 0.0128158i | ||||
\(333\) | −163.394 | + | 118.713i | −0.490672 | + | 0.356494i | ||||
\(334\) | 144.699 | + | 105.130i | 0.433229 | + | 0.314759i | ||||
\(335\) | −39.0766 | − | 120.265i | −0.116647 | − | 0.359001i | ||||
\(336\) | 43.2695 | − | 14.0591i | 0.128778 | − | 0.0418426i | ||||
\(337\) | −175.877 | + | 242.074i | −0.521890 | + | 0.718320i | −0.985868 | − | 0.167527i | \(-0.946422\pi\) |
0.463977 | + | 0.885847i | \(0.346422\pi\) | |||||||
\(338\) | 54.0753 | + | 74.4282i | 0.159986 | + | 0.220202i | ||||
\(339\) | −8.76625 | + | 26.9797i | −0.0258591 | + | 0.0795862i | ||||
\(340\) | − | 58.5817i | − | 0.172299i | ||||||
\(341\) | −1.62993 | − | 45.7461i | −0.00477986 | − | 0.134153i | ||||
\(342\) | 49.1680 | 0.143766 | ||||||||
\(343\) | −23.4224 | − | 7.61041i | −0.0682870 | − | 0.0221878i | ||||
\(344\) | 313.460 | − | 227.742i | 0.911221 | − | 0.662041i | ||||
\(345\) | 53.5635 | + | 38.9162i | 0.155257 | + | 0.112801i | ||||
\(346\) | −14.7235 | − | 45.3143i | −0.0425535 | − | 0.130966i | ||||
\(347\) | 202.617 | − | 65.8344i | 0.583912 | − | 0.189724i | −0.00214053 | − | 0.999998i | \(-0.500681\pi\) |
0.586052 | + | 0.810273i | \(0.300681\pi\) | |||||||
\(348\) | 58.3884 | − | 80.3647i | 0.167783 | − | 0.230933i | ||||
\(349\) | −44.0593 | − | 60.6425i | −0.126245 | − | 0.173761i | 0.741216 | − | 0.671266i | \(-0.234249\pi\) |
−0.867461 | + | 0.497506i | \(0.834249\pi\) | |||||||
\(350\) | −80.8205 | + | 248.740i | −0.230916 | + | 0.710685i | ||||
\(351\) | 79.9660i | 0.227823i | ||||||||
\(352\) | 112.238 | + | 307.692i | 0.318857 | + | 0.874126i | ||||
\(353\) | −372.860 | −1.05626 | −0.528130 | − | 0.849164i | \(-0.677107\pi\) | ||||
−0.528130 | + | 0.849164i | \(0.677107\pi\) | |||||||
\(354\) | 217.356 | + | 70.6233i | 0.614001 | + | 0.199501i | ||||
\(355\) | 27.7603 | − | 20.1691i | 0.0781981 | − | 0.0568142i | ||||
\(356\) | 6.91371 | + | 5.02310i | 0.0194205 | + | 0.0141098i | ||||
\(357\) | 61.8024 | + | 190.208i | 0.173116 | + | 0.532796i | ||||
\(358\) | 233.414 | − | 75.8407i | 0.651993 | − | 0.211846i | ||||
\(359\) | 156.070 | − | 214.812i | 0.434736 | − | 0.598363i | −0.534296 | − | 0.845297i | \(-0.679423\pi\) |
0.969032 | + | 0.246934i | \(0.0794232\pi\) | |||||||
\(360\) | −33.8022 | − | 46.5247i | −0.0938950 | − | 0.129235i | ||||
\(361\) | 66.4253 | − | 204.436i | 0.184004 | − | 0.566305i | ||||
\(362\) | 27.6167i | 0.0762892i | ||||||||
\(363\) | 50.4134 | − | 203.424i | 0.138880 | − | 0.560398i | ||||
\(364\) | −324.925 | −0.892651 | ||||||||
\(365\) | −165.574 | − | 53.7984i | −0.453629 | − | 0.147393i | ||||
\(366\) | 2.39193 | − | 1.73784i | 0.00653534 | − | 0.00474820i | ||||
\(367\) | −80.4998 | − | 58.4866i | −0.219346 | − | 0.159364i | 0.472686 | − | 0.881231i | \(-0.343284\pi\) |
−0.692032 | + | 0.721867i | \(0.743284\pi\) | |||||||
\(368\) | −13.8402 | − | 42.5957i | −0.0376092 | − | 0.115749i | ||||
\(369\) | −51.4923 | + | 16.7308i | −0.139545 | + | 0.0453411i | ||||
\(370\) | 123.125 | − | 169.467i | 0.332771 | − | 0.458020i | ||||
\(371\) | 581.327 | + | 800.128i | 1.56692 | + | 2.15668i | ||||
\(372\) | −4.81264 | + | 14.8118i | −0.0129372 | + | 0.0398166i | ||||
\(373\) | − | 469.949i | − | 1.25992i | −0.776629 | − | 0.629959i | \(-0.783072\pi\) | ||
0.776629 | − | 0.629959i | \(-0.216928\pi\) | |||||||
\(374\) | 165.613 | − | 60.4111i | 0.442815 | − | 0.161527i | ||||
\(375\) | 177.775 | 0.474066 | ||||||||
\(376\) | 484.043 | + | 157.275i | 1.28735 | + | 0.418285i | ||||
\(377\) | 330.464 | − | 240.096i | 0.876563 | − | 0.636861i | ||||
\(378\) | 55.7077 | + | 40.4740i | 0.147375 | + | 0.107074i | ||||
\(379\) | 89.1943 | + | 274.512i | 0.235341 | + | 0.724305i | 0.997076 | + | 0.0764166i | \(0.0243479\pi\) |
−0.761735 | + | 0.647889i | \(0.775652\pi\) | |||||||
\(380\) | 56.9773 | − | 18.5130i | 0.149940 | − | 0.0487185i | ||||
\(381\) | 5.68870 | − | 7.82983i | 0.0149310 | − | 0.0205507i | ||||
\(382\) | −47.4710 | − | 65.3382i | −0.124270 | − | 0.171042i | ||||
\(383\) | −60.7882 | + | 187.087i | −0.158716 | + | 0.488477i | −0.998518 | − | 0.0544147i | \(-0.982671\pi\) |
0.839803 | + | 0.542892i | \(0.182671\pi\) | |||||||
\(384\) | − | 86.1752i | − | 0.224414i | ||||||
\(385\) | −246.447 | + | 8.78090i | −0.640122 | + | 0.0228075i | ||||
\(386\) | −336.430 | −0.871581 | ||||||||
\(387\) | 132.312 | + | 42.9906i | 0.341890 | + | 0.111087i | ||||
\(388\) | 57.9223 | − | 42.0830i | 0.149284 | − | 0.108461i | ||||
\(389\) | 363.076 | + | 263.790i | 0.933358 | + | 0.678124i | 0.946813 | − | 0.321785i | \(-0.104283\pi\) |
−0.0134546 | + | 0.999909i | \(0.504283\pi\) | |||||||
\(390\) | −25.6294 | − | 78.8791i | −0.0657164 | − | 0.202254i | ||||
\(391\) | 187.247 | − | 60.8401i | 0.478891 | − | 0.155601i | ||||
\(392\) | −228.263 | + | 314.177i | −0.582303 | + | 0.801471i | ||||
\(393\) | −229.792 | − | 316.282i | −0.584714 | − | 0.804789i | ||||
\(394\) | −69.7115 | + | 214.550i | −0.176933 | + | 0.544543i | ||||
\(395\) | 67.0397i | 0.169721i | ||||||||
\(396\) | −39.8312 | + | 59.1425i | −0.100584 | + | 0.149350i | ||||
\(397\) | 608.594 | 1.53298 | 0.766491 | − | 0.642255i | \(-0.222001\pi\) | ||||
0.766491 | + | 0.642255i | \(0.222001\pi\) | |||||||
\(398\) | 126.393 | + | 41.0676i | 0.317571 | + | 0.103185i | ||||
\(399\) | −165.468 | + | 120.220i | −0.414707 | + | 0.301302i | ||||
\(400\) | −42.9220 | − | 31.1847i | −0.107305 | − | 0.0779616i | ||||
\(401\) | −80.0898 | − | 246.491i | −0.199725 | − | 0.614691i | −0.999889 | − | 0.0149093i | \(-0.995254\pi\) |
0.800164 | − | 0.599782i | \(-0.204746\pi\) | |||||||
\(402\) | −123.132 | + | 40.0080i | −0.306299 | + | 0.0995225i | ||||
\(403\) | −37.6426 | + | 51.8105i | −0.0934059 | + | 0.128562i | ||||
\(404\) | −123.296 | − | 169.702i | −0.305188 | − | 0.420056i | ||||
\(405\) | 6.38081 | − | 19.6381i | 0.0157551 | − | 0.0484891i | ||||
\(406\) | − | 351.738i | − | 0.866350i | ||||||
\(407\) | −711.999 | − | 203.617i | −1.74938 | − | 0.500287i | ||||
\(408\) | −171.010 | −0.419142 | ||||||||
\(409\) | 249.341 | + | 81.0159i | 0.609637 | + | 0.198083i | 0.597534 | − | 0.801844i | \(-0.296147\pi\) |
0.0121029 | + | 0.999927i | \(0.496147\pi\) | |||||||
\(410\) | 45.4301 | − | 33.0069i | 0.110805 | − | 0.0805046i | ||||
\(411\) | 73.3557 | + | 53.2961i | 0.178481 | + | 0.129674i | ||||
\(412\) | −124.231 | − | 382.343i | −0.301531 | − | 0.928017i | ||||
\(413\) | −904.162 | + | 293.780i | −2.18925 | + | 0.711332i | ||||
\(414\) | 39.8438 | − | 54.8403i | 0.0962411 | − | 0.132465i | ||||
\(415\) | −8.59344 | − | 11.8279i | −0.0207071 | − | 0.0285008i | ||||
\(416\) | 141.598 | − | 435.793i | 0.340379 | − | 1.04758i | ||||
\(417\) | − | 48.6117i | − | 0.116575i | ||||||
\(418\) | 111.094 | + | 141.986i | 0.265774 | + | 0.339680i | ||||
\(419\) | −650.465 | −1.55242 | −0.776211 | − | 0.630473i | \(-0.782861\pi\) | ||||
−0.776211 | + | 0.630473i | \(0.782861\pi\) | |||||||
\(420\) | 79.7952 | + | 25.9270i | 0.189989 | + | 0.0617310i | ||||
\(421\) | 508.799 | − | 369.664i | 1.20855 | − | 0.878062i | 0.213450 | − | 0.976954i | \(-0.431530\pi\) |
0.995098 | + | 0.0988920i | \(0.0315298\pi\) | |||||||
\(422\) | −12.7314 | − | 9.24988i | −0.0301691 | − | 0.0219191i | ||||
\(423\) | 56.4713 | + | 173.801i | 0.133502 | + | 0.410876i | ||||
\(424\) | −804.280 | + | 261.326i | −1.89689 | + | 0.616336i | ||||
\(425\) | 137.085 | − | 188.681i | 0.322552 | − | 0.443955i | ||||
\(426\) | −20.6498 | − | 28.4220i | −0.0484738 | − | 0.0667184i | ||||
\(427\) | −3.80056 | + | 11.6969i | −0.00890062 | + | 0.0273933i | ||||
\(428\) | 414.610i | 0.968715i | ||||||||
\(429\) | −230.924 | + | 180.681i | −0.538284 | + | 0.421168i | ||||
\(430\) | −144.292 | −0.335562 | ||||||||
\(431\) | 560.194 | + | 182.018i | 1.29975 | + | 0.422316i | 0.875496 | − | 0.483225i | \(-0.160535\pi\) |
0.424258 | + | 0.905541i | \(0.360535\pi\) | |||||||
\(432\) | −11.3005 | + | 8.21031i | −0.0261586 | + | 0.0190054i | ||||
\(433\) | 126.292 | + | 91.7565i | 0.291668 | + | 0.211909i | 0.723990 | − | 0.689810i | \(-0.242306\pi\) |
−0.432323 | + | 0.901719i | \(0.642306\pi\) | |||||||
\(434\) | 17.0410 | + | 52.4468i | 0.0392650 | + | 0.120845i | ||||
\(435\) | −100.314 | + | 32.5940i | −0.230607 | + | 0.0749286i | ||||
\(436\) | −144.481 | + | 198.861i | −0.331379 | + | 0.456104i | ||||
\(437\) | 118.348 | + | 162.892i | 0.270818 | + | 0.372750i | ||||
\(438\) | −55.0808 | + | 169.521i | −0.125755 | + | 0.387035i | ||||
\(439\) | 209.017i | 0.476121i | 0.971250 | + | 0.238060i | \(0.0765116\pi\) | ||||
−0.971250 | + | 0.238060i | \(0.923488\pi\) | |||||||
\(440\) | 57.9777 | − | 202.734i | 0.131768 | − | 0.460760i | ||||
\(441\) | −139.439 | −0.316188 | ||||||||
\(442\) | −234.562 | − | 76.2138i | −0.530683 | − | 0.172430i | ||||
\(443\) | −276.987 | + | 201.242i | −0.625252 | + | 0.454272i | −0.854752 | − | 0.519037i | \(-0.826291\pi\) |
0.229500 | + | 0.973309i | \(0.426291\pi\) | |||||||
\(444\) | 203.835 | + | 148.095i | 0.459088 | + | 0.333547i | ||||
\(445\) | −2.80403 | − | 8.62992i | −0.00630119 | − | 0.0193931i | ||||
\(446\) | −402.313 | + | 130.719i | −0.902047 | + | 0.293093i | ||||
\(447\) | 11.4455 | − | 15.7533i | 0.0256051 | − | 0.0352424i | ||||
\(448\) | −293.682 | − | 404.218i | −0.655539 | − | 0.902273i | ||||
\(449\) | 17.7730 | − | 54.6996i | 0.0395835 | − | 0.121825i | −0.929312 | − | 0.369295i | \(-0.879599\pi\) |
0.968896 | + | 0.247470i | \(0.0795991\pi\) | |||||||
\(450\) | − | 80.2981i | − | 0.178440i | ||||||
\(451\) | −164.660 | − | 110.895i | −0.365100 | − | 0.245887i | ||||
\(452\) | 35.3895 | 0.0782954 | ||||||||
\(453\) | −166.648 | − | 54.1472i | −0.367876 | − | 0.119530i | ||||
\(454\) | −10.4629 | + | 7.60171i | −0.0230459 | + | 0.0167438i | ||||
\(455\) | 279.118 | + | 202.791i | 0.613445 | + | 0.445694i | ||||
\(456\) | −54.0428 | − | 166.327i | −0.118515 | − | 0.364751i | ||||
\(457\) | 608.260 | − | 197.636i | 1.33098 | − | 0.432463i | 0.444731 | − | 0.895664i | \(-0.353299\pi\) |
0.886253 | + | 0.463201i | \(0.153299\pi\) | |||||||
\(458\) | 160.082 | − | 220.335i | 0.349525 | − | 0.481080i | ||||
\(459\) | −36.0917 | − | 49.6760i | −0.0786312 | − | 0.108227i | ||||
\(460\) | 25.5233 | − | 78.5527i | 0.0554855 | − | 0.170767i | ||||
\(461\) | − | 492.084i | − | 1.06743i | −0.845666 | − | 0.533713i | \(-0.820796\pi\) | ||
0.845666 | − | 0.533713i | \(-0.179204\pi\) | |||||||
\(462\) | 8.99021 | + | 252.321i | 0.0194593 | + | 0.546150i | ||||
\(463\) | 366.054 | 0.790614 | 0.395307 | − | 0.918549i | \(-0.370638\pi\) | ||||
0.395307 | + | 0.918549i | \(0.370638\pi\) | |||||||
\(464\) | 67.8592 | + | 22.0488i | 0.146248 | + | 0.0475190i | ||||
\(465\) | 13.3784 | − | 9.72001i | 0.0287709 | − | 0.0209033i | ||||
\(466\) | 263.646 | + | 191.550i | 0.565763 | + | 0.411051i | ||||
\(467\) | 100.584 | + | 309.566i | 0.215383 | + | 0.662882i | 0.999126 | + | 0.0417963i | \(0.0133080\pi\) |
−0.783743 | + | 0.621086i | \(0.786692\pi\) | |||||||
\(468\) | 94.8757 | − | 30.8270i | 0.202726 | − | 0.0658697i | ||||
\(469\) | 316.561 | − | 435.709i | 0.674970 | − | 0.929017i | ||||
\(470\) | −111.407 | − | 153.339i | −0.237037 | − | 0.326253i | ||||
\(471\) | −10.2079 | + | 31.4168i | −0.0216729 | + | 0.0667023i | ||||
\(472\) | − | 812.903i | − | 1.72225i | ||||||
\(473\) | 174.807 | + | 479.222i | 0.369571 | + | 1.01315i | ||||
\(474\) | 68.6377 | 0.144805 | ||||||||
\(475\) | 226.835 | + | 73.7031i | 0.477547 | + | 0.155165i | ||||
\(476\) | 201.848 | − | 146.651i | 0.424050 | − | 0.308090i | ||||
\(477\) | −245.655 | − | 178.479i | −0.515000 | − | 0.374169i | ||||
\(478\) | 33.8188 | + | 104.083i | 0.0707506 | + | 0.217748i | ||||
\(479\) | 312.398 | − | 101.504i | 0.652187 | − | 0.211908i | 0.0358087 | − | 0.999359i | \(-0.488599\pi\) |
0.616378 | + | 0.787450i | \(0.288599\pi\) | |||||||
\(480\) | −69.5473 | + | 95.7237i | −0.144890 | + | 0.199424i | ||||
\(481\) | 608.975 | + | 838.182i | 1.26606 | + | 1.74258i | ||||
\(482\) | −64.2285 | + | 197.675i | −0.133254 | + | 0.410114i | ||||
\(483\) | 281.979i | 0.583807i | ||||||||
\(484\) | −260.787 | + | 18.6073i | −0.538817 | + | 0.0384449i | ||||
\(485\) | −76.0213 | −0.156745 | ||||||||
\(486\) | −20.1062 | − | 6.53290i | −0.0413708 | − | 0.0134422i | ||||
\(487\) | −260.740 | + | 189.439i | −0.535400 | + | 0.388991i | −0.822374 | − | 0.568947i | \(-0.807351\pi\) |
0.286974 | + | 0.957938i | \(0.407351\pi\) | |||||||
\(488\) | −8.50789 | − | 6.18135i | −0.0174342 | − | 0.0126667i | ||||
\(489\) | 7.73506 | + | 23.8061i | 0.0158181 | + | 0.0486831i | ||||
\(490\) | 137.544 | − | 44.6906i | 0.280701 | − | 0.0912053i | ||||
\(491\) | 454.813 | − | 625.997i | 0.926300 | − | 1.27494i | −0.0349859 | − | 0.999388i | \(-0.511139\pi\) |
0.961286 | − | 0.275554i | \(-0.0888614\pi\) | |||||||
\(492\) | 39.7006 | + | 54.6432i | 0.0806924 | + | 0.111064i | ||||
\(493\) | −96.9243 | + | 298.302i | −0.196601 | + | 0.605076i | ||||
\(494\) | − | 252.223i | − | 0.510573i | ||||||
\(495\) | 71.1276 | − | 25.9454i | 0.143692 | − | 0.0524150i | ||||
\(496\) | −11.1865 | −0.0225535 | ||||||||
\(497\) | 138.988 | + | 45.1600i | 0.279654 | + | 0.0908652i | ||||
\(498\) | −12.1098 | + | 8.79828i | −0.0243168 | + | 0.0176672i | ||||
\(499\) | 41.3425 | + | 30.0371i | 0.0828507 | + | 0.0601946i | 0.628440 | − | 0.777858i | \(-0.283694\pi\) |
−0.545589 | + | 0.838053i | \(0.683694\pi\) | |||||||
\(500\) | −68.5324 | − | 210.921i | −0.137065 | − | 0.421842i | ||||
\(501\) | 217.246 | − | 70.5877i | 0.433626 | − | 0.140894i | ||||
\(502\) | −280.903 | + | 386.630i | −0.559568 | + | 0.770179i | ||||
\(503\) | −244.325 | − | 336.284i | −0.485735 | − | 0.668557i | 0.493859 | − | 0.869542i | \(-0.335586\pi\) |
−0.979594 | + | 0.200985i | \(0.935586\pi\) | |||||||
\(504\) | 75.6856 | − | 232.936i | 0.150170 | − | 0.462175i | ||||
\(505\) | 222.729i | 0.441048i | ||||||||
\(506\) | 248.392 | − | 8.85022i | 0.490894 | − | 0.0174906i | ||||
\(507\) | 117.495 | 0.231746 | ||||||||
\(508\) | −11.4827 | − | 3.73096i | −0.0226038 | − | 0.00734441i | ||||
\(509\) | −270.522 | + | 196.546i | −0.531478 | + | 0.386141i | −0.820910 | − | 0.571057i | \(-0.806533\pi\) |
0.289433 | + | 0.957198i | \(0.406533\pi\) | |||||||
\(510\) | 51.5225 | + | 37.4333i | 0.101024 | + | 0.0733986i | ||||
\(511\) | −229.126 | − | 705.177i | −0.448387 | − | 1.37999i | ||||
\(512\) | 161.567 | − | 52.4962i | 0.315560 | − | 0.102532i | ||||
\(513\) | 36.9098 | − | 50.8019i | 0.0719488 | − | 0.0990291i | ||||
\(514\) | −103.358 | − | 142.260i | −0.201086 | − | 0.276771i | ||||
\(515\) | −131.909 | + | 405.976i | −0.256135 | + | 0.788302i | ||||
\(516\) | − | 173.554i | − | 0.336345i | ||||||
\(517\) | −374.302 | + | 555.774i | −0.723988 | + | 1.07500i | ||||
\(518\) | 892.140 | 1.72228 | ||||||||
\(519\) | −57.8729 | − | 18.8040i | −0.111508 | − | 0.0362313i | ||||
\(520\) | −238.664 | + | 173.399i | −0.458968 | + | 0.333460i | ||||
\(521\) | −700.990 | − | 509.299i | −1.34547 | − | 0.977541i | −0.999224 | − | 0.0393970i | \(-0.987456\pi\) |
−0.346246 | − | 0.938144i | \(-0.612544\pi\) | |||||||
\(522\) | 33.3709 | + | 102.705i | 0.0639289 | + | 0.196753i | ||||
\(523\) | −415.392 | + | 134.969i | −0.794248 | + | 0.258067i | −0.677912 | − | 0.735143i | \(-0.737115\pi\) |
−0.116336 | + | 0.993210i | \(0.537115\pi\) | |||||||
\(524\) | −286.668 | + | 394.564i | −0.547076 | + | 0.752986i | ||||
\(525\) | 196.335 | + | 270.232i | 0.373971 | + | 0.514727i | ||||
\(526\) | −75.5083 | + | 232.391i | −0.143552 | + | 0.441808i | ||||
\(527\) | − | 49.1749i | − | 0.0933111i | ||||||
\(528\) | −49.2427 | − | 14.0824i | −0.0932628 | − | 0.0266712i | ||||
\(529\) | −251.412 | −0.475259 | ||||||||
\(530\) | 299.519 | + | 97.3197i | 0.565130 | + | 0.183622i | ||||
\(531\) | 236.137 | − | 171.563i | 0.444702 | − | 0.323095i | ||||
\(532\) | 206.423 | + | 149.975i | 0.388013 | + | 0.281908i | ||||
\(533\) | 85.8263 | + | 264.146i | 0.161025 | + | 0.495584i | ||||
\(534\) | −8.83563 | + | 2.87087i | −0.0165461 | + | 0.00537616i | ||||
\(535\) | 258.765 | − | 356.159i | 0.483672 | − | 0.665718i | ||||
\(536\) | 270.680 | + | 372.559i | 0.505000 | + | 0.695073i | ||||
\(537\) | 96.8595 | − | 298.103i | 0.180371 | − | 0.555126i | ||||
\(538\) | 456.361i | 0.848255i | ||||||||
\(539\) | −315.058 | − | 402.668i | −0.584523 | − | 0.747064i | ||||
\(540\) | −25.7594 | −0.0477027 | ||||||||
\(541\) | −738.226 | − | 239.864i | −1.36456 | − | 0.443372i | −0.466996 | − | 0.884259i | \(-0.654664\pi\) |
−0.897562 | + | 0.440888i | \(0.854664\pi\) | |||||||
\(542\) | −240.802 | + | 174.953i | −0.444283 | + | 0.322791i | ||||
\(543\) | 28.5344 | + | 20.7315i | 0.0525496 | + | 0.0381795i | ||||
\(544\) | 108.728 | + | 334.629i | 0.199867 | + | 0.615127i | ||||
\(545\) | 248.225 | − | 80.6533i | 0.455459 | − | 0.147988i | ||||
\(546\) | 207.625 | − | 285.771i | 0.380265 | − | 0.523390i | ||||
\(547\) | −466.258 | − | 641.749i | −0.852391 | − | 1.17322i | −0.983331 | − | 0.181825i | \(-0.941800\pi\) |
0.130940 | − | 0.991390i | \(-0.458200\pi\) | |||||||
\(548\) | 34.9544 | − | 107.579i | 0.0637854 | − | 0.196311i | ||||
\(549\) | − | 3.77600i | − | 0.00687795i | ||||||
\(550\) | 231.883 | − | 181.431i | 0.421605 | − | 0.329875i | ||||
\(551\) | −320.763 | −0.582147 | ||||||||
\(552\) | −229.309 | − | 74.5071i | −0.415415 | − | 0.134977i | ||||
\(553\) | −230.991 | + | 167.825i | −0.417705 | + | 0.303480i | ||||
\(554\) | −268.619 | − | 195.163i | −0.484872 | − | 0.352280i | ||||
\(555\) | −82.6705 | − | 254.434i | −0.148956 | − | 0.458439i | ||||
\(556\) | −57.6753 | + | 18.7399i | −0.103733 | + | 0.0337048i | ||||
\(557\) | −390.960 | + | 538.111i | −0.701904 | + | 0.966088i | 0.298030 | + | 0.954557i | \(0.403671\pi\) |
−0.999934 | + | 0.0115312i | \(0.996329\pi\) | |||||||
\(558\) | −9.95171 | − | 13.6973i | −0.0178346 | − | 0.0245472i | ||||
\(559\) | 220.534 | − | 678.735i | 0.394516 | − | 1.21420i | ||||
\(560\) | 60.2650i | 0.107616i | ||||||||
\(561\) | 61.9048 | − | 216.466i | 0.110347 | − | 0.385858i | ||||
\(562\) | −468.211 | −0.833116 | ||||||||
\(563\) | −375.847 | − | 122.120i | −0.667579 | − | 0.216910i | −0.0444299 | − | 0.999013i | \(-0.514147\pi\) |
−0.623149 | + | 0.782103i | \(0.714147\pi\) | |||||||
\(564\) | 184.436 | − | 134.001i | 0.327014 | − | 0.237590i | ||||
\(565\) | −30.4004 | − | 22.0872i | −0.0538060 | − | 0.0390923i | ||||
\(566\) | −97.4736 | − | 299.993i | −0.172215 | − | 0.530023i | ||||
\(567\) | 83.6381 | − | 27.1757i | 0.147510 | − | 0.0479289i | ||||
\(568\) | −73.4495 | + | 101.095i | −0.129313 | + | 0.177983i | ||||
\(569\) | −31.1806 | − | 42.9165i | −0.0547990 | − | 0.0754244i | 0.780738 | − | 0.624858i | \(-0.214843\pi\) |
−0.835537 | + | 0.549434i | \(0.814843\pi\) | |||||||
\(570\) | −20.1259 | + | 61.9411i | −0.0353086 | + | 0.108669i | ||||
\(571\) | 878.429i | 1.53840i | 0.639005 | + | 0.769202i | \(0.279346\pi\) | ||||
−0.639005 | + | 0.769202i | \(0.720654\pi\) | |||||||
\(572\) | 303.390 | + | 204.327i | 0.530403 | + | 0.357215i | ||||
\(573\) | −103.145 | −0.180009 | ||||||||
\(574\) | 227.456 | + | 73.9048i | 0.396264 | + | 0.128754i | ||||
\(575\) | 266.024 | − | 193.278i | 0.462651 | − | 0.336135i | ||||
\(576\) | 124.103 | + | 90.1660i | 0.215456 | + | 0.156538i | ||||
\(577\) | 334.518 | + | 1029.54i | 0.579755 | + | 1.78430i | 0.619385 | + | 0.785087i | \(0.287382\pi\) |
−0.0396306 | + | 0.999214i | \(0.512618\pi\) | |||||||
\(578\) | −192.645 | + | 62.5941i | −0.333296 | + | 0.108294i | ||||
\(579\) | −252.554 | + | 347.610i | −0.436189 | + | 0.600363i | ||||
\(580\) | 77.3422 | + | 106.452i | 0.133349 | + | 0.183539i | ||||
\(581\) | 19.2413 | − | 59.2187i | 0.0331176 | − | 0.101926i | ||||
\(582\) | 77.8334i | 0.133734i | ||||||||
\(583\) | −39.6442 | − | 1112.66i | −0.0680004 | − | 1.90851i | ||||
\(584\) | 634.002 | 1.08562 | ||||||||
\(585\) | −100.740 | − | 32.7324i | −0.172205 | − | 0.0559528i | ||||
\(586\) | 585.598 | − | 425.462i | 0.999313 | − | 0.726044i | ||||
\(587\) | −12.3428 | − | 8.96760i | −0.0210270 | − | 0.0152770i | 0.577222 | − | 0.816587i | \(-0.304137\pi\) |
−0.598249 | + | 0.801310i | \(0.704137\pi\) | |||||||
\(588\) | 53.7538 | + | 165.437i | 0.0914180 | + | 0.281356i | ||||
\(589\) | 47.8282 | − | 15.5403i | 0.0812023 | − | 0.0263842i | ||||
\(590\) | −177.940 | + | 244.914i | −0.301594 | + | 0.415109i | ||||
\(591\) | 169.348 | + | 233.088i | 0.286545 | + | 0.394396i | ||||
\(592\) | −55.9240 | + | 172.116i | −0.0944663 | + | 0.290737i | ||||
\(593\) | − | 214.000i | − | 0.360877i | −0.983586 | − | 0.180439i | \(-0.942248\pi\) | ||
0.983586 | − | 0.180439i | \(-0.0577517\pi\) | |||||||
\(594\) | −26.5639 | − | 72.8231i | −0.0447203 | − | 0.122598i | ||||
\(595\) | −264.919 | −0.445242 | ||||||||
\(596\) | −23.1028 | − | 7.50655i | −0.0387631 | − | 0.0125949i | ||||
\(597\) | 137.314 | − | 99.7644i | 0.230007 | − | 0.167110i | ||||
\(598\) | −281.321 | − | 204.392i | −0.470437 | − | 0.341792i | ||||
\(599\) | 192.777 | + | 593.308i | 0.321832 | + | 0.990498i | 0.972850 | + | 0.231435i | \(0.0743422\pi\) |
−0.651018 | + | 0.759062i | \(0.725658\pi\) | |||||||
\(600\) | −271.634 | + | 88.2592i | −0.452723 | + | 0.147099i | ||||
\(601\) | 237.449 | − | 326.821i | 0.395090 | − | 0.543795i | −0.564413 | − | 0.825493i | \(-0.690897\pi\) |
0.959503 | + | 0.281698i | \(0.0908975\pi\) | |||||||
\(602\) | −361.214 | − | 497.169i | −0.600024 | − | 0.825862i | ||||
\(603\) | −51.0960 | + | 157.257i | −0.0847364 | + | 0.260792i | ||||
\(604\) | 218.593i | 0.361909i | ||||||||
\(605\) | 235.635 | + | 146.778i | 0.389480 | + | 0.242607i | ||||
\(606\) | 228.038 | 0.376301 | ||||||||
\(607\) | −349.561 | − | 113.579i | −0.575882 | − | 0.187115i | 0.00657281 | − | 0.999978i | \(-0.497908\pi\) |
−0.582455 | + | 0.812863i | \(0.697908\pi\) | |||||||
\(608\) | −291.104 | + | 211.500i | −0.478790 | + | 0.347861i | ||||
\(609\) | −363.427 | − | 264.045i | −0.596760 | − | 0.433571i | ||||
\(610\) | 1.21022 | + | 3.72467i | 0.00198397 | + | 0.00610602i | ||||
\(611\) | 891.567 | − | 289.688i | 1.45919 | − | 0.474120i | ||||
\(612\) | −45.0247 | + | 61.9712i | −0.0735698 | + | 0.101260i | ||||
\(613\) | 286.364 | + | 394.147i | 0.467152 | + | 0.642980i | 0.975973 | − | 0.217893i | \(-0.0699183\pi\) |
−0.508820 | + | 0.860873i | \(0.669918\pi\) | |||||||
\(614\) | 59.8646 | − | 184.244i | 0.0974994 | − | 0.300072i | ||||
\(615\) | − | 71.7176i | − | 0.116614i | ||||||
\(616\) | 843.676 | − | 307.750i | 1.36960 | − | 0.499594i | ||||
\(617\) | 455.862 | 0.738836 | 0.369418 | − | 0.929263i | \(-0.379557\pi\) | ||||
0.369418 | + | 0.929263i | \(0.379557\pi\) | |||||||
\(618\) | 415.653 | + | 135.054i | 0.672577 | + | 0.218534i | ||||
\(619\) | −463.020 | + | 336.404i | −0.748013 | + | 0.543463i | −0.895210 | − | 0.445644i | \(-0.852975\pi\) |
0.147197 | + | 0.989107i | \(0.452975\pi\) | |||||||
\(620\) | −16.6897 | − | 12.1258i | −0.0269189 | − | 0.0195577i | ||||
\(621\) | −26.7525 | − | 82.3358i | −0.0430797 | − | 0.132586i | ||||
\(622\) | 59.2032 | − | 19.2363i | 0.0951820 | − | 0.0309265i | ||||
\(623\) | 22.7156 | − | 31.2653i | 0.0364616 | − | 0.0501851i | ||||
\(624\) | 42.1175 | + | 57.9697i | 0.0674959 | + | 0.0929002i | ||||
\(625\) | 79.7020 | − | 245.297i | 0.127523 | − | 0.392476i | ||||
\(626\) | 483.497i | 0.772360i | ||||||||
\(627\) | 230.101 | − | 8.19850i | 0.366987 | − | 0.0130758i | ||||
\(628\) | 41.2096 | 0.0656204 | ||||||||
\(629\) | −756.607 | − | 245.836i | −1.20287 | − | 0.390837i | ||||
\(630\) | −73.7914 | + | 53.6126i | −0.117129 | + | 0.0850993i | ||||
\(631\) | −181.250 | − | 131.686i | −0.287243 | − | 0.208694i | 0.434828 | − | 0.900514i | \(-0.356809\pi\) |
−0.722070 | + | 0.691820i | \(0.756809\pi\) | |||||||
\(632\) | −75.4428 | − | 232.189i | −0.119372 | − | 0.367388i | ||||
\(633\) | −19.1145 | + | 6.21069i | −0.0301967 | + | 0.00981151i | ||||
\(634\) | −49.3106 | + | 67.8703i | −0.0777770 | + | 0.107051i | ||||
\(635\) | 7.53535 | + | 10.3715i | 0.0118667 | + | 0.0163331i | ||||
\(636\) | −117.056 | + | 360.261i | −0.184050 | + | 0.566449i | ||||
\(637\) | 715.296i | 1.12291i | ||||||||
\(638\) | −221.188 | + | 328.427i | −0.346690 | + | 0.514775i | ||||
\(639\) | −44.8681 | −0.0702161 | ||||||||
\(640\) | 108.562 | + | 35.2740i | 0.169628 | + | 0.0551156i | ||||
\(641\) | 383.601 | − | 278.702i | 0.598441 | − | 0.434793i | −0.246884 | − | 0.969045i | \(-0.579407\pi\) |
0.845325 | + | 0.534252i | \(0.179407\pi\) | |||||||
\(642\) | −364.649 | − | 264.933i | −0.567989 | − | 0.412668i | ||||
\(643\) | −255.732 | − | 787.063i | −0.397717 | − | 1.22405i | −0.926825 | − | 0.375493i | \(-0.877473\pi\) |
0.529108 | − | 0.848554i | \(-0.322527\pi\) | |||||||
\(644\) | 334.554 | − | 108.703i | 0.519493 | − | 0.168794i | ||||
\(645\) | −108.318 | + | 149.087i | −0.167935 | + | 0.231142i | ||||
\(646\) | 113.838 | + | 156.685i | 0.176220 | + | 0.242546i | ||||
\(647\) | 153.080 | − | 471.133i | 0.236600 | − | 0.728181i | −0.760305 | − | 0.649567i | \(-0.774950\pi\) |
0.996905 | − | 0.0786144i | \(-0.0250496\pi\) | |||||||
\(648\) | 75.1963i | 0.116044i | ||||||||
\(649\) | 1028.98 | + | 294.267i | 1.58549 | + | 0.453415i | ||||
\(650\) | −411.915 | −0.633715 | ||||||||
\(651\) | 66.9821 | + | 21.7638i | 0.102891 | + | 0.0334314i | ||||
\(652\) | 25.2628 | − | 18.3545i | 0.0387467 | − | 0.0281511i | ||||
\(653\) | 543.344 | + | 394.762i | 0.832073 | + | 0.604536i | 0.920145 | − | 0.391578i | \(-0.128071\pi\) |
−0.0880721 | + | 0.996114i | \(0.528071\pi\) | |||||||
\(654\) | −82.5758 | − | 254.142i | −0.126263 | − | 0.388596i | ||||
\(655\) | 492.508 | − | 160.026i | 0.751921 | − | 0.244314i | ||||
\(656\) | −28.5162 | + | 39.2492i | −0.0434699 | + | 0.0598312i | ||||
\(657\) | 133.806 | + | 184.168i | 0.203662 | + | 0.280317i | ||||
\(658\) | 249.449 | − | 767.726i | 0.379102 | − | 1.16676i | ||||
\(659\) | 59.3106i | 0.0900009i | 0.998987 | + | 0.0450004i | \(0.0143289\pi\) | ||||
−0.998987 | + | 0.0450004i | \(0.985671\pi\) | |||||||
\(660\) | −58.2027 | − | 74.3874i | −0.0881860 | − | 0.112708i | ||||
\(661\) | 604.118 | 0.913946 | 0.456973 | − | 0.889481i | \(-0.348934\pi\) | ||||
0.456973 | + | 0.889481i | \(0.348934\pi\) | |||||||
\(662\) | −438.486 | − | 142.473i | −0.662366 | − | 0.215216i | ||||
\(663\) | −254.829 | + | 185.144i | −0.384358 | + | 0.279252i | ||||
\(664\) | 43.0734 | + | 31.2947i | 0.0648696 | + | 0.0471305i | ||||
\(665\) | −83.7200 | − | 257.664i | −0.125895 | − | 0.387464i | ||||
\(666\) | −260.499 | + | 84.6411i | −0.391139 | + | 0.127089i | ||||
\(667\) | −259.934 | + | 357.768i | −0.389705 | + | 0.536384i | ||||
\(668\) | −167.498 | − | 230.541i | −0.250745 | − | 0.345121i | ||||
\(669\) | −166.947 | + | 513.811i | −0.249548 | + | 0.768029i | ||||
\(670\) | − | 171.496i | − | 0.255965i | ||||||
\(671\) | 10.9042 | − | 8.53176i | 0.0162507 | − | 0.0127150i | ||||
\(672\) | −503.925 | −0.749889 | ||||||||
\(673\) | 96.0114 | + | 31.1960i | 0.142662 | + | 0.0463536i | 0.379477 | − | 0.925201i | \(-0.376104\pi\) |
−0.236816 | + | 0.971555i | \(0.576104\pi\) | |||||||
\(674\) | −328.298 | + | 238.523i | −0.487090 | + | 0.353891i | ||||
\(675\) | −82.9665 | − | 60.2787i | −0.122913 | − | 0.0893017i | ||||
\(676\) | −45.2945 | − | 139.402i | −0.0670037 | − | 0.206216i | ||||
\(677\) | 191.488 | − | 62.2184i | 0.282849 | − | 0.0919031i | −0.164157 | − | 0.986434i | \(-0.552490\pi\) |
0.447006 | + | 0.894531i | \(0.352490\pi\) | |||||||
\(678\) | −22.6137 | + | 31.1250i | −0.0333535 | + | 0.0459071i | ||||
\(679\) | −190.309 | − | 261.937i | −0.280278 | − | 0.385769i | ||||
\(680\) | 69.9994 | − | 215.436i | 0.102940 | − | 0.316818i | ||||
\(681\) | 16.5170i | 0.0242541i | ||||||||
\(682\) | 17.0692 | − | 59.6870i | 0.0250282 | − | 0.0875176i | ||||
\(683\) | 381.312 | 0.558290 | 0.279145 | − | 0.960249i | \(-0.409949\pi\) | ||||
0.279145 | + | 0.960249i | \(0.409949\pi\) | |||||||
\(684\) | −74.5027 | − | 24.2074i | −0.108922 | − | 0.0353909i | ||||
\(685\) | −97.1682 | + | 70.5968i | −0.141851 | + | 0.103061i | ||||
\(686\) | −27.0212 | − | 19.6320i | −0.0393895 | − | 0.0286181i | ||||
\(687\) | −107.485 | − | 330.804i | −0.156455 | − | 0.481520i | ||||
\(688\) | 118.559 | − | 38.5223i | 0.172325 | − | 0.0559917i | ||||
\(689\) | −915.565 | + | 1260.17i | −1.32883 | + | 1.82898i | ||||
\(690\) | 52.7778 | + | 72.6424i | 0.0764895 | + | 0.105279i | ||||
\(691\) | −353.424 | + | 1087.73i | −0.511468 | + | 1.57414i | 0.278150 | + | 0.960538i | \(0.410279\pi\) |
−0.789618 | + | 0.613598i | \(0.789721\pi\) | |||||||
\(692\) | 75.9123i | 0.109700i | ||||||||
\(693\) | 267.455 | + | 180.125i | 0.385938 | + | 0.259921i | ||||
\(694\) | 288.929 | 0.416324 | ||||||||
\(695\) | 61.2403 | + | 19.8982i | 0.0881155 | + | 0.0286305i | ||||
\(696\) | 310.753 | − | 225.775i | 0.446485 | − | 0.324390i | ||||
\(697\) | −172.536 | − | 125.355i | −0.247541 | − | 0.179849i | ||||
\(698\) | −31.4139 | − | 96.6822i | −0.0450056 | − | 0.138513i | ||||
\(699\) | 395.830 | − | 128.613i | 0.566281 | − | 0.183996i | ||||
\(700\) | 244.929 | − | 337.116i | 0.349899 | − | 0.481595i | ||||
\(701\) | −302.844 | − | 416.829i | −0.432017 | − | 0.594620i | 0.536398 | − | 0.843965i | \(-0.319785\pi\) |
−0.968415 | + | 0.249345i | \(0.919785\pi\) | |||||||
\(702\) | −33.5126 | + | 103.141i | −0.0477388 | + | 0.146925i | ||||
\(703\) | − | 813.575i | − | 1.15729i | ||||||
\(704\) | 20.0279 | + | 562.108i | 0.0284488 | + | 0.798449i | ||||
\(705\) | −242.067 | −0.343357 | ||||||||
\(706\) | −480.920 | − | 156.260i | −0.681189 | − | 0.221332i | ||||
\(707\) | −767.431 | + | 557.572i | −1.08548 | + | 0.788644i | ||||
\(708\) | −294.582 | − | 214.027i | −0.416077 | − | 0.302297i | ||||
\(709\) | −276.488 | − | 850.942i | −0.389969 | − | 1.20020i | −0.932811 | − | 0.360366i | \(-0.882652\pi\) |
0.542842 | − | 0.839835i | \(-0.317348\pi\) | |||||||
\(710\) | 44.2582 | − | 14.3804i | 0.0623355 | − | 0.0202540i | ||||
\(711\) | 51.5254 | − | 70.9186i | 0.0724689 | − | 0.0997449i | ||||
\(712\) | 19.4233 | + | 26.7338i | 0.0272799 | + | 0.0375475i | ||||
\(713\) | 21.4249 | − | 65.9392i | 0.0300490 | − | 0.0924813i | ||||
\(714\) | 271.234i | 0.379879i | ||||||||
\(715\) | −133.095 | − | 364.872i | −0.186147 | − | 0.510311i | ||||
\(716\) | −391.024 | −0.546122 | ||||||||
\(717\) | 132.930 | + | 43.1914i | 0.185397 | + | 0.0602391i | ||||
\(718\) | 291.326 | − | 211.661i | 0.405747 | − | 0.294793i | ||||
\(719\) | −126.704 | − | 92.0559i | −0.176223 | − | 0.128033i | 0.496177 | − | 0.868221i | \(-0.334737\pi\) |
−0.672400 | + | 0.740188i | \(0.734737\pi\) | |||||||
\(720\) | −5.71760 | − | 17.5970i | −0.00794111 | − | 0.0244402i | ||||
\(721\) | −1729.04 | + | 561.798i | −2.39811 | + | 0.779193i | ||||
\(722\) | 171.353 | − | 235.847i | 0.237330 | − | 0.326657i | ||||
\(723\) | 156.029 | + | 214.755i | 0.215807 | + | 0.297033i | ||||
\(724\) | 13.5968 | − | 41.8467i | 0.0187801 | − | 0.0577993i | ||||
\(725\) | 523.849i | 0.722551i | ||||||||
\(726\) | 150.276 | − | 241.252i | 0.206992 | − | 0.332303i | ||||
\(727\) | 28.5853 | 0.0393195 | 0.0196598 | − | 0.999807i | \(-0.493742\pi\) | ||||
0.0196598 | + | 0.999807i | \(0.493742\pi\) | |||||||
\(728\) | −1194.92 | − | 388.254i | −1.64138 | − | 0.533315i | ||||
\(729\) | −21.8435 | + | 15.8702i | −0.0299636 | + | 0.0217698i | ||||
\(730\) | −191.014 | − | 138.780i | −0.261663 | − | 0.190109i | ||||
\(731\) | 169.340 | + | 521.175i | 0.231655 | + | 0.712962i | ||||
\(732\) | −4.48003 | + | 1.45565i | −0.00612026 | + | 0.00198859i | ||||
\(733\) | 317.269 | − | 436.684i | 0.432837 | − | 0.595749i | −0.535765 | − | 0.844367i | \(-0.679977\pi\) |
0.968601 | + | 0.248619i | \(0.0799766\pi\) | |||||||
\(734\) | −79.3189 | − | 109.173i | −0.108064 | − | 0.148737i | ||||
\(735\) | 57.0763 | − | 175.663i | 0.0776549 | − | 0.238997i | ||||
\(736\) | 496.079i | 0.674020i | ||||||||
\(737\) | −569.574 | + | 207.765i | −0.772827 | + | 0.281906i | ||||
\(738\) | −73.4271 | −0.0994947 | ||||||||
\(739\) | 337.414 | + | 109.632i | 0.456582 | + | 0.148352i | 0.528273 | − | 0.849074i | \(-0.322840\pi\) |
−0.0716913 | + | 0.997427i | \(0.522840\pi\) | |||||||
\(740\) | −270.003 | + | 196.169i | −0.364869 | + | 0.265093i | ||||
\(741\) | −260.605 | − | 189.341i | −0.351694 | − | 0.255520i | ||||
\(742\) | 414.481 | + | 1275.64i | 0.558600 | + | 1.71920i | ||||
\(743\) | 820.225 | − | 266.507i | 1.10394 | − | 0.358691i | 0.300321 | − | 0.953838i | \(-0.402906\pi\) |
0.803617 | + | 0.595147i | \(0.202906\pi\) | |||||||
\(744\) | −35.3973 | + | 48.7202i | −0.0475770 | + | 0.0654842i | ||||
\(745\) | 15.1609 | + | 20.8671i | 0.0203501 | + | 0.0280096i | ||||
\(746\) | 196.949 | − | 606.147i | 0.264007 | − | 0.812529i | ||||
\(747\) | 19.1170i | 0.0255916i | ||||||||
\(748\) | −280.691 | + | 10.0010i | −0.375255 | + | 0.0133703i | ||||
\(749\) | 1874.96 | 2.50328 | ||||||||
\(750\) | 229.296 | + | 74.5029i | 0.305729 | + | 0.0993372i | ||||
\(751\) | −15.0547 | + | 10.9379i | −0.0200462 | + | 0.0145644i | −0.597763 | − | 0.801673i | \(-0.703944\pi\) |
0.577717 | + | 0.816237i | \(0.303944\pi\) | |||||||
\(752\) | 132.477 | + | 96.2502i | 0.176166 | + | 0.127992i | ||||
\(753\) | 188.608 | + | 580.475i | 0.250475 | + | 0.770884i | ||||
\(754\) | 526.859 | − | 171.187i | 0.698752 | − | 0.227038i | ||||
\(755\) | 136.428 | − | 187.776i | 0.180699 | − | 0.248710i | ||||
\(756\) | −64.4852 | − | 88.7562i | −0.0852978 | − | 0.117402i | ||||
\(757\) | 194.396 | − | 598.290i | 0.256798 | − | 0.790343i | −0.736672 | − | 0.676250i | \(-0.763604\pi\) |
0.993470 | − | 0.114093i | \(-0.0363962\pi\) | |||||||
\(758\) | 391.449i | 0.516424i | ||||||||
\(759\) | 177.320 | − | 263.291i | 0.233624 | − | 0.346891i | ||||
\(760\) | 231.657 | 0.304812 | ||||||||
\(761\) | 897.680 | + | 291.674i | 1.17961 | + | 0.383277i | 0.832220 | − | 0.554445i | \(-0.187070\pi\) |
0.347385 | + | 0.937722i | \(0.387070\pi\) | |||||||
\(762\) | 10.6187 | − | 7.71497i | 0.0139354 | − | 0.0101246i | ||||
\(763\) | 899.294 | + | 653.376i | 1.17863 | + | 0.856324i | ||||
\(764\) | 39.7626 | + | 122.377i | 0.0520453 | + | 0.160179i | ||||
\(765\) | 77.3545 | − | 25.1340i | 0.101117 | − | 0.0328549i | ||||
\(766\) | −156.811 | + | 215.832i | −0.204714 | + | 0.281765i | ||||
\(767\) | −880.090 | − | 1211.34i | −1.14744 | − | 1.57932i | ||||
\(768\) | 145.587 | − | 448.072i | 0.189567 | − | 0.583427i | ||||
\(769\) | 332.508i | 0.432390i | 0.976350 | + | 0.216195i | \(0.0693646\pi\) | ||||
−0.976350 | + | 0.216195i | \(0.930635\pi\) | |||||||
\(770\) | −321.550 | − | 91.9567i | −0.417598 | − | 0.119424i | ||||
\(771\) | −224.577 | −0.291281 | ||||||||
\(772\) | 509.782 | + | 165.638i | 0.660339 | + | 0.214557i | ||||
\(773\) | 747.482 | − | 543.077i | 0.966988 | − | 0.702558i | 0.0122246 | − | 0.999925i | \(-0.496109\pi\) |
0.954763 | + | 0.297368i | \(0.0961087\pi\) | |||||||
\(774\) | 152.641 | + | 110.900i | 0.197210 | + | 0.143281i | ||||
\(775\) | −25.3794 | − | 78.1099i | −0.0327477 | − | 0.100787i | ||||
\(776\) | 263.296 | − | 85.5502i | 0.339300 | − | 0.110245i | ||||
\(777\) | 669.717 | − | 921.787i | 0.861927 | − | 1.18634i | ||||
\(778\) | 357.750 | + | 492.401i | 0.459833 | + | 0.632906i | ||||
\(779\) | 67.3965 | − | 207.425i | 0.0865167 | − | 0.266271i | ||||
\(780\) | 132.141i | 0.169412i | ||||||||
\(781\) | −101.378 | − | 129.569i | −0.129806 | − | 0.165901i | ||||
\(782\) | 267.010 | 0.341445 | ||||||||
\(783\) | 131.169 | + | 42.6194i | 0.167521 | + | 0.0544309i | ||||
\(784\) | −101.083 | + | 73.4413i | −0.128933 | + | 0.0936751i | ||||
\(785\) | −35.4000 | − | 25.7196i | −0.0450955 | − | 0.0327638i | ||||
\(786\) | −163.840 | − | 504.248i | −0.208448 | − | 0.641537i | ||||
\(787\) | −1224.73 | + | 397.937i | −1.55619 | + | 0.505638i | −0.955788 | − | 0.294057i | \(-0.904995\pi\) |
−0.600407 | + | 0.799695i | \(0.704995\pi\) | |||||||
\(788\) | 211.263 | − | 290.779i | 0.268100 | − | 0.369009i | ||||
\(789\) | 183.430 | + | 252.470i | 0.232485 | + | 0.319988i | ||||
\(790\) | −28.0954 | + | 86.4688i | −0.0355638 | + | 0.109454i | ||||
\(791\) | − | 160.039i | − | 0.202325i | ||||||
\(792\) | −217.150 | + | 169.904i | −0.274179 | + | 0.214525i | ||||
\(793\) | −19.3702 | −0.0244265 | ||||||||
\(794\) | 784.973 | + | 255.053i | 0.988630 | + | 0.321225i | ||||
\(795\) | 325.399 | − | 236.416i | 0.409306 | − | 0.297379i | ||||
\(796\) | −171.300 | − | 124.457i | −0.215201 | − | 0.156353i | ||||
\(797\) | −67.4452 | − | 207.575i | −0.0846239 | − | 0.260445i | 0.899787 | − | 0.436329i | \(-0.143722\pi\) |
−0.984411 | + | 0.175884i | \(0.943722\pi\) | |||||||
\(798\) | −263.805 | + | 85.7156i | −0.330583 | + | 0.107413i | ||||
\(799\) | −423.106 | + | 582.356i | −0.529545 | + | 0.728856i | ||||
\(800\) | 345.408 | + | 475.413i | 0.431760 | + | 0.594266i | ||||
\(801\) | −3.66651 | + | 11.2844i | −0.00457742 | + | 0.0140878i | ||||
\(802\) | − | 351.492i | − | 0.438270i | ||||||
\(803\) | −229.505 | + | 802.525i | −0.285810 | + | 0.999409i | ||||
\(804\) | 206.276 | 0.256562 | ||||||||
\(805\) | −355.232 | − | 115.422i | −0.441283 | − | 0.143381i | ||||
\(806\) | −70.2650 | + | 51.0505i | −0.0871774 | + | 0.0633381i | ||||
\(807\) | 471.526 | + | 342.584i | 0.584295 | + | 0.424516i | ||||
\(808\) | −250.647 | − | 771.413i | −0.310207 | − | 0.954719i | ||||
\(809\) | −733.095 | + | 238.197i | −0.906174 | + | 0.294434i | −0.724783 | − | 0.688977i | \(-0.758060\pi\) |
−0.181391 | + | 0.983411i | \(0.558060\pi\) | |||||||
\(810\) | 16.4601 | − | 22.6554i | 0.0203211 | − | 0.0279696i | ||||
\(811\) | 929.155 | + | 1278.87i | 1.14569 | + | 1.57691i | 0.754088 | + | 0.656773i | \(0.228079\pi\) |
0.391602 | + | 0.920135i | \(0.371921\pi\) | |||||||
\(812\) | −173.175 | + | 532.977i | −0.213270 | + | 0.656376i | ||||
\(813\) | 380.138i | 0.467575i | ||||||||
\(814\) | −833.013 | − | 561.016i | −1.02336 | − | 0.689209i | ||||
\(815\) | −33.1567 | −0.0406831 | ||||||||
\(816\) | −52.3279 | − | 17.0024i | −0.0641273 | − | 0.0208362i | ||||
\(817\) | −453.387 | + | 329.405i | −0.554941 | + | 0.403188i | ||||
\(818\) | 287.651 | + | 208.991i | 0.351652 | + | 0.255490i | ||||
\(819\) | −139.406 | − | 429.049i | −0.170215 | − | 0.523869i | ||||
\(820\) | −85.0894 | + | 27.6472i | −0.103768 | + | 0.0337161i | ||||
\(821\) | 116.880 | − | 160.872i | 0.142364 | − | 0.195947i | −0.731881 | − | 0.681433i | \(-0.761357\pi\) |
0.874245 | + | 0.485486i | \(0.161357\pi\) | |||||||
\(822\) | 72.2796 | + | 99.4844i | 0.0879314 | + | 0.121027i | ||||
\(823\) | 41.5286 | − | 127.812i | 0.0504600 | − | 0.155300i | −0.922651 | − | 0.385635i | \(-0.873982\pi\) |
0.973111 | + | 0.230335i | \(0.0739823\pi\) | |||||||
\(824\) | − | 1554.52i | − | 1.88656i | ||||||
\(825\) | −13.3893 | − | 375.786i | −0.0162294 | − | 0.455498i | ||||
\(826\) | −1289.32 | −1.56092 | ||||||||
\(827\) | 1136.57 | + | 369.292i | 1.37432 | + | 0.446545i | 0.900799 | − | 0.434236i | \(-0.142982\pi\) |
0.473524 | + | 0.880781i | \(0.342982\pi\) | |||||||
\(828\) | −87.3742 | + | 63.4811i | −0.105524 | + | 0.0766679i | ||||
\(829\) | −1155.60 | − | 839.591i | −1.39397 | − | 1.01278i | −0.995417 | − | 0.0956281i | \(-0.969514\pi\) |
−0.398549 | − | 0.917147i | \(-0.630486\pi\) | |||||||
\(830\) | −6.12705 | − | 18.8571i | −0.00738199 | − | 0.0227194i | ||||
\(831\) | −403.297 | + | 131.039i | −0.485316 | + | 0.157689i | ||||
\(832\) | 462.536 | − | 636.626i | 0.555932 | − | 0.765175i | ||||
\(833\) | −322.841 | − | 444.352i | −0.387564 | − | 0.533436i | ||||
\(834\) | 20.3725 | − | 62.7000i | 0.0244274 | − | 0.0751799i | ||||
\(835\) | 302.577i | 0.362368i | ||||||||
\(836\) | −98.4313 | − | 269.843i | −0.117741 | − | 0.322779i | ||||
\(837\) | −21.6231 | −0.0258341 | ||||||||
\(838\) | −838.979 | − | 272.601i | −1.00117 | − | 0.325299i | ||||
\(839\) | −771.245 | + | 560.342i | −0.919243 | + | 0.667869i | −0.943335 | − | 0.331841i | \(-0.892330\pi\) |
0.0240928 | + | 0.999710i | \(0.492330\pi\) | |||||||
\(840\) | 262.469 | + | 190.695i | 0.312463 | + | 0.227018i | ||||
\(841\) | 42.1780 | + | 129.810i | 0.0501522 | + | 0.154353i | ||||
\(842\) | 811.177 | − | 263.567i | 0.963393 | − | 0.313025i | ||||
\(843\) | −351.480 | + | 483.770i | −0.416939 | + | 0.573867i | ||||
\(844\) | 14.7373 | + | 20.2842i | 0.0174613 | + | 0.0240334i | ||||
\(845\) | −48.0941 | + | 148.019i | −0.0569162 | + | 0.175170i | ||||
\(846\) | 247.837i | 0.292951i | ||||||||
\(847\) | 84.1464 | + | 1179.34i | 0.0993464 | + | 1.39237i | ||||
\(848\) | −272.086 | −0.320856 | ||||||||
\(849\) | −383.134 | − | 124.488i | −0.451277 | − | 0.146629i | ||||
\(850\) | 255.887 | − | 185.913i | 0.301044 | − | 0.218721i | ||||
\(851\) | −907.434 | − | 659.289i | −1.06631 | − | 0.774723i | ||||
\(852\) | 17.2967 | + | 53.2338i | 0.0203013 | + | 0.0624809i | ||||
\(853\) | 926.904 | − | 301.170i | 1.08664 | − | 0.353071i | 0.289693 | − | 0.957120i | \(-0.406447\pi\) |
0.796947 | + | 0.604049i | \(0.206447\pi\) | |||||||
\(854\) | −9.80404 | + | 13.4941i | −0.0114801 | + | 0.0158011i | ||||
\(855\) | 48.8913 | + | 67.2931i | 0.0571828 | + | 0.0787053i | ||||
\(856\) | −495.419 | + | 1524.74i | −0.578760 | + | 1.78124i | ||||
\(857\) | − | 1571.80i | − | 1.83407i | −0.398805 | − | 0.917036i | \(-0.630575\pi\) | ||
0.398805 | − | 0.917036i | \(-0.369425\pi\) | |||||||
\(858\) | −373.570 | + | 136.268i | −0.435396 | + | 0.158820i | ||||
\(859\) | −740.779 | −0.862373 | −0.431187 | − | 0.902263i | \(-0.641905\pi\) | ||||
−0.431187 | + | 0.902263i | \(0.641905\pi\) | |||||||
\(860\) | 218.641 | + | 71.0407i | 0.254234 | + | 0.0826055i | ||||
\(861\) | 247.109 | − | 179.535i | 0.287002 | − | 0.208519i | ||||
\(862\) | 646.265 | + | 469.539i | 0.749727 | + | 0.544709i | ||||
\(863\) | 105.378 | + | 324.320i | 0.122106 | + | 0.375805i | 0.993363 | − | 0.115023i | \(-0.0366943\pi\) |
−0.871256 | + | 0.490828i | \(0.836694\pi\) | |||||||
\(864\) | 147.143 | − | 47.8095i | 0.170304 | − | 0.0553351i | ||||
\(865\) | 47.3781 | − | 65.2103i | 0.0547723 | − | 0.0753877i | ||||
\(866\) | 124.439 | + | 171.276i | 0.143694 | + | 0.197778i | ||||
\(867\) | −79.9417 | + | 246.035i | −0.0922049 | + | 0.283778i | ||||
\(868\) | − | 87.8610i | − | 0.101222i | ||||||
\(869\) | 321.217 | − | 11.4450i | 0.369640 | − | 0.0131703i | ||||
\(870\) | −143.046 | −0.164421 | ||||||||
\(871\) | 806.703 | + | 262.114i | 0.926180 | + | 0.300934i | ||||
\(872\) | −768.955 | + | 558.678i | −0.881829 | + | 0.640686i | ||||
\(873\) | 80.4199 | + | 58.4285i | 0.0921190 | + | 0.0669284i | ||||
\(874\) | 84.3809 | + | 259.698i | 0.0965456 | + | 0.297137i | ||||
\(875\) | −953.830 | + | 309.918i | −1.09009 | + | 0.354192i | ||||
\(876\) | 166.924 | − | 229.752i | 0.190553 | − | 0.262273i | ||||
\(877\) | −601.554 | − | 827.969i | −0.685923 | − | 0.944092i | 0.314063 | − | 0.949402i | \(-0.398310\pi\) |
−0.999986 | + | 0.00531028i | \(0.998310\pi\) | |||||||
\(878\) | −87.5961 | + | 269.593i | −0.0997678 | + | 0.307054i | ||||
\(879\) | − | 924.446i | − | 1.05170i | ||||||
\(880\) | 37.8973 | − | 56.2709i | 0.0430651 | − | 0.0639443i | ||||
\(881\) | −1023.93 | −1.16224 | −0.581121 | − | 0.813817i | \(-0.697386\pi\) | ||||
−0.581121 | + | 0.813817i | \(0.697386\pi\) | |||||||
\(882\) | −179.850 | − | 58.4368i | −0.203912 | − | 0.0662549i | ||||
\(883\) | 1348.73 | − | 979.908i | 1.52744 | − | 1.10975i | 0.569795 | − | 0.821787i | \(-0.307022\pi\) |
0.957642 | − | 0.287961i | \(-0.0929775\pi\) | |||||||
\(884\) | 317.901 | + | 230.969i | 0.359617 | + | 0.261277i | ||||
\(885\) | 119.475 | + | 367.707i | 0.135000 | + | 0.415488i | ||||
\(886\) | −441.599 | + | 143.484i | −0.498419 | + | 0.161946i | ||||
\(887\) | 408.038 | − | 561.617i | 0.460021 | − | 0.633164i | −0.514492 | − | 0.857495i | \(-0.672020\pi\) |
0.974513 | + | 0.224331i | \(0.0720196\pi\) | |||||||
\(888\) | 572.651 | + | 788.187i | 0.644878 | + | 0.887598i | ||||
\(889\) | −16.8722 | + | 51.9273i | −0.0189789 | + | 0.0584109i | ||||
\(890\) | − | 12.3061i | − | 0.0138271i | ||||||
\(891\) | −95.1842 | − | 27.2207i | −0.106829 | − | 0.0305507i | ||||
\(892\) | 673.970 | 0.755572 | ||||||||
\(893\) | −700.117 | − | 227.482i | −0.784006 | − | 0.254739i | ||||
\(894\) | 21.3645 | − | 15.5222i | 0.0238977 | − | 0.0173627i | ||||
\(895\) | 335.898 | + | 244.044i | 0.375305 | + | 0.272675i | ||||
\(896\) | 150.231 | + | 462.363i | 0.167668 | + | 0.516030i | ||||
\(897\) | −422.368 | + | 137.236i | −0.470867 | + | 0.152994i | ||||
\(898\) | 45.8477 | − | 63.1039i | 0.0510553 | − | 0.0702717i | ||||
\(899\) | 64.9230 | + | 89.3589i | 0.0722169 | + | 0.0993981i | ||||
\(900\) | −39.5340 | + | 121.673i | −0.0439266 | + | 0.135192i | ||||
\(901\) | − | 1196.06i | − | 1.32748i | ||||||
\(902\) | −165.906 | − | 212.041i | −0.183932 | − | 0.235078i | ||||
\(903\) | −784.849 | −0.869157 | ||||||||
\(904\) | 130.146 | + | 42.2870i | 0.143967 | + | 0.0467777i | ||||
\(905\) | −37.7972 | + | 27.4613i | −0.0417648 | + | 0.0303439i | ||||
\(906\) | −192.252 | − | 139.680i | −0.212199 | − | 0.154172i | ||||
\(907\) | −249.523 | − | 767.953i | −0.275108 | − | 0.846696i | −0.989191 | − | 0.146635i | \(-0.953156\pi\) |
0.714083 | − | 0.700062i | \(-0.246844\pi\) | |||||||
\(908\) | 19.5967 | − | 6.36734i | 0.0215822 | − | 0.00701249i | ||||
\(909\) | 171.185 | − | 235.616i | 0.188323 | − | 0.259204i | ||||
\(910\) | 275.023 | + | 378.537i | 0.302223 | + | 0.415974i | ||||
\(911\) | −282.696 | + | 870.047i | −0.310313 | + | 0.955046i | 0.667327 | + | 0.744765i | \(0.267438\pi\) |
−0.977641 | + | 0.210282i | \(0.932562\pi\) | |||||||
\(912\) | − | 56.2679i | − | 0.0616972i | ||||||
\(913\) | −55.2054 | + | 43.1942i | −0.0604660 | + | 0.0473102i | ||||
\(914\) | 867.368 | 0.948981 | ||||||||
\(915\) | 4.75694 | + | 1.54562i | 0.00519884 | + | 0.00168921i | ||||
\(916\) | −351.047 | + | 255.051i | −0.383240 | + | 0.278440i | ||||
\(917\) | 1784.31 | + | 1296.37i | 1.94581 | + | 1.41371i | ||||
\(918\) | −25.7331 | − | 79.1983i | −0.0280317 | − | 0.0862727i | ||||
\(919\) | 960.986 | − | 312.243i | 1.04569 | − | 0.339764i | 0.264712 | − | 0.964327i | \(-0.414723\pi\) |
0.780974 | + | 0.624563i | \(0.214723\pi\) | |||||||
\(920\) | 187.726 | − | 258.382i | 0.204050 | − | 0.280850i | ||||
\(921\) | −145.428 | − | 200.164i | −0.157902 | − | 0.217333i | ||||
\(922\) | 206.225 | − | 634.696i | 0.223672 | − | 0.688391i | ||||
\(923\) | 230.165i | 0.249367i | ||||||||
\(924\) | 110.605 | − | 386.761i | 0.119703 | − | 0.418572i | ||||
\(925\) | −1328.68 | −1.43641 | ||||||||
\(926\) | 472.142 | + | 153.408i | 0.509872 | + | 0.165668i | ||||
\(927\) | 451.567 | − | 328.082i | 0.487127 | − | 0.353918i | ||||
\(928\) | −639.369 | − | 464.528i | −0.688975 | − | 0.500569i | ||||
\(929\) | −76.5132 | − | 235.483i | −0.0823608 | − | 0.253480i | 0.901393 | − | 0.433001i | \(-0.142545\pi\) |
−0.983754 | + | 0.179521i | \(0.942545\pi\) | |||||||
\(930\) | 21.3292 | − | 6.93029i | 0.0229347 | − | 0.00745192i | ||||
\(931\) | 330.158 | − | 454.423i | 0.354627 | − | 0.488102i | ||||
\(932\) | −305.186 | − | 420.053i | −0.327453 | − | 0.450700i | ||||
\(933\) | 24.5675 | − | 75.6110i | 0.0263317 | − | 0.0810407i | ||||
\(934\) | 441.436i | 0.472629i | ||||||||
\(935\) | 247.361 | + | 166.593i | 0.264558 | + | 0.178174i | ||||
\(936\) | 385.744 | 0.412120 | ||||||||
\(937\) | 1221.51 | + | 396.891i | 1.30363 | + | 0.423576i | 0.876844 | − | 0.480774i | \(-0.159644\pi\) |
0.426790 | + | 0.904351i | \(0.359644\pi\) | |||||||
\(938\) | 590.904 | − | 429.317i | 0.629962 | − | 0.457694i | ||||
\(939\) | 499.565 | + | 362.955i | 0.532018 | + | 0.386533i | ||||
\(940\) | 93.3170 | + | 287.200i | 0.0992734 | + | 0.305532i | ||||
\(941\) | −1665.76 | + | 541.238i | −1.77020 | + | 0.575173i | −0.998173 | − | 0.0604169i | \(-0.980757\pi\) |
−0.772027 | + | 0.635590i | \(0.780757\pi\) | |||||||
\(942\) | −26.3327 | + | 36.2438i | −0.0279540 | + | 0.0384754i | ||||
\(943\) | −176.739 | − | 243.261i | −0.187422 | − | 0.257965i | ||||
\(944\) | 80.8214 | − | 248.743i | 0.0856159 | − | 0.263498i | ||||
\(945\) | 116.490i | 0.123270i | ||||||||
\(946\) | 24.6334 | + | 691.366i | 0.0260395 | + | 0.730831i | ||||
\(947\) | −87.2570 | −0.0921405 | −0.0460702 | − | 0.998938i | \(-0.514670\pi\) | ||||
−0.0460702 | + | 0.998938i | \(0.514670\pi\) | |||||||
\(948\) | −104.005 | − | 33.7931i | −0.109709 | − | 0.0356468i | ||||
\(949\) | 944.752 | − | 686.402i | 0.995523 | − | 0.723290i | ||||
\(950\) | 261.687 | + | 190.127i | 0.275460 | + | 0.200133i | ||||
\(951\) | 33.1089 | + | 101.899i | 0.0348148 | + | 0.107149i | ||||
\(952\) | 917.535 | − | 298.125i | 0.963798 | − | 0.313157i | ||||
\(953\) | −758.674 | + | 1044.23i | −0.796090 | + | 1.09572i | 0.197233 | + | 0.980357i | \(0.436805\pi\) |
−0.993323 | + | 0.115368i | \(0.963195\pi\) | |||||||
\(954\) | −242.051 | − | 333.155i | −0.253723 | − | 0.349219i | ||||
\(955\) | 42.2204 | − | 129.941i | 0.0442098 | − | 0.136064i | ||||
\(956\) | − | 174.365i | − | 0.182390i | ||||||
\(957\) | 173.298 | + | 475.084i | 0.181084 | + | 0.496430i | ||||
\(958\) | 445.474 | 0.465004 | ||||||||
\(959\) | −486.494 | − | 158.071i | −0.507293 | − | 0.164829i | ||||
\(960\) | −164.389 | + | 119.435i | −0.171238 | + | 0.124412i | ||||
\(961\) | 763.456 | + | 554.683i | 0.794439 | + | 0.577193i | ||||
\(962\) | 434.194 | + | 1336.31i | 0.451345 | + | 1.38910i | ||||
\(963\) | −547.474 | + | 177.885i | −0.568509 | + | 0.184720i | ||||
\(964\) | 194.647 | − | 267.908i | 0.201916 | − | 0.277913i | ||||
\(965\) | −334.536 | − | 460.450i | −0.346670 | − | 0.477150i | ||||
\(966\) | −118.173 | + | 363.700i | −0.122333 | + | 0.376501i | ||||
\(967\) | − | 321.693i | − | 0.332671i | −0.986069 | − | 0.166336i | \(-0.946806\pi\) | ||
0.986069 | − | 0.166336i | \(-0.0531935\pi\) | |||||||
\(968\) | −981.288 | − | 243.187i | −1.01373 | − | 0.251226i | ||||
\(969\) | 247.348 | 0.255261 | ||||||||
\(970\) | −98.0533 | − | 31.8595i | −0.101086 | − | 0.0328448i | ||||
\(971\) | −101.171 | + | 73.5048i | −0.104192 | + | 0.0757001i | −0.638661 | − | 0.769488i | \(-0.720512\pi\) |
0.534469 | + | 0.845188i | \(0.320512\pi\) | |||||||
\(972\) | 27.2499 | + | 19.7982i | 0.0280349 | + | 0.0203685i | ||||
\(973\) | 84.7457 | + | 260.820i | 0.0870973 | + | 0.268058i | ||||
\(974\) | −415.697 | + | 135.068i | −0.426794 | + | 0.138674i | ||||
\(975\) | −309.219 | + | 425.603i | −0.317148 | + | 0.436516i | ||||
\(976\) | −1.98879 | − | 2.73733i | −0.00203769 | − | 0.00280464i | ||||
\(977\) | 435.482 | − | 1340.28i | 0.445734 | − | 1.37183i | −0.435943 | − | 0.899974i | \(-0.643585\pi\) |
0.881677 | − | 0.471854i | \(-0.156415\pi\) | |||||||
\(978\) | 33.9470i | 0.0347107i | ||||||||
\(979\) | −40.8711 | + | 14.9086i | −0.0417478 | + | 0.0152284i | ||||
\(980\) | −230.418 | −0.235121 | ||||||||
\(981\) | −324.576 | − | 105.461i | −0.330862 | − | 0.107504i | ||||
\(982\) | 848.971 | − | 616.813i | 0.864532 | − | 0.628119i | ||||
\(983\) | −14.9478 | − | 10.8602i | −0.0152063 | − | 0.0110480i | 0.580156 | − | 0.814505i | \(-0.302992\pi\) |
−0.595362 | + | 0.803457i | \(0.702992\pi\) | |||||||
\(984\) | 80.7070 | + | 248.391i | 0.0820194 | + | 0.252430i | ||||
\(985\) | −362.960 | + | 117.933i | −0.368487 | + | 0.119729i | ||||
\(986\) | −250.029 | + | 344.135i | −0.253579 | + | 0.349021i | ||||
\(987\) | −605.980 | − | 834.060i | −0.613962 | − | 0.845046i | ||||
\(988\) | −124.180 | + | 382.186i | −0.125688 | + | 0.386828i | ||||
\(989\) | 772.628i | 0.781222i | ||||||||
\(990\) | 102.615 | − | 3.65617i | 0.103651 | − | 0.00369310i | ||||
\(991\) | −212.736 | −0.214668 | −0.107334 | − | 0.994223i | \(-0.534231\pi\) | ||||
−0.107334 | + | 0.994223i | \(0.534231\pi\) | |||||||
\(992\) | 117.840 | + | 38.2886i | 0.118791 | + | 0.0385974i | ||||
\(993\) | −476.373 | + | 346.105i | −0.479731 | + | 0.348545i | ||||
\(994\) | 160.343 | + | 116.496i | 0.161311 | + | 0.117199i | ||||
\(995\) | 69.4751 | + | 213.822i | 0.0698242 | + | 0.214897i | ||||
\(996\) | 22.6813 | − | 7.36961i | 0.0227724 | − | 0.00739920i | ||||
\(997\) | −206.481 | + | 284.197i | −0.207103 | + | 0.285052i | −0.899915 | − | 0.436066i | \(-0.856372\pi\) |
0.692812 | + | 0.721118i | \(0.256372\pi\) | |||||||
\(998\) | 40.7360 | + | 56.0683i | 0.0408177 | + | 0.0561807i | ||||
\(999\) | −108.099 | + | 332.694i | −0.108207 | + | 0.333027i |
(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 | 33.3.g.a.13.3 | ✓ | 16 | |
3.2 | odd | 2 | 99.3.k.c.46.2 | 16 | |||
4.3 | odd | 2 | 528.3.bf.b.145.2 | 16 | |||
11.2 | odd | 10 | 363.3.g.a.118.3 | 16 | |||
11.3 | even | 5 | 363.3.g.a.40.3 | 16 | |||
11.4 | even | 5 | 363.3.c.e.241.11 | 16 | |||
11.5 | even | 5 | 363.3.g.f.94.2 | 16 | |||
11.6 | odd | 10 | inner | 33.3.g.a.28.3 | yes | 16 | |
11.7 | odd | 10 | 363.3.c.e.241.6 | 16 | |||
11.8 | odd | 10 | 363.3.g.g.40.2 | 16 | |||
11.9 | even | 5 | 363.3.g.g.118.2 | 16 | |||
11.10 | odd | 2 | 363.3.g.f.112.2 | 16 | |||
33.17 | even | 10 | 99.3.k.c.28.2 | 16 | |||
33.26 | odd | 10 | 1089.3.c.m.604.6 | 16 | |||
33.29 | even | 10 | 1089.3.c.m.604.11 | 16 | |||
44.39 | even | 10 | 528.3.bf.b.193.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.3.g.a.13.3 | ✓ | 16 | 1.1 | even | 1 | trivial | |
33.3.g.a.28.3 | yes | 16 | 11.6 | odd | 10 | inner | |
99.3.k.c.28.2 | 16 | 33.17 | even | 10 | |||
99.3.k.c.46.2 | 16 | 3.2 | odd | 2 | |||
363.3.c.e.241.6 | 16 | 11.7 | odd | 10 | |||
363.3.c.e.241.11 | 16 | 11.4 | even | 5 | |||
363.3.g.a.40.3 | 16 | 11.3 | even | 5 | |||
363.3.g.a.118.3 | 16 | 11.2 | odd | 10 | |||
363.3.g.f.94.2 | 16 | 11.5 | even | 5 | |||
363.3.g.f.112.2 | 16 | 11.10 | odd | 2 | |||
363.3.g.g.40.2 | 16 | 11.8 | odd | 10 | |||
363.3.g.g.118.2 | 16 | 11.9 | even | 5 | |||
528.3.bf.b.145.2 | 16 | 4.3 | odd | 2 | |||
528.3.bf.b.193.2 | 16 | 44.39 | even | 10 | |||
1089.3.c.m.604.6 | 16 | 33.26 | odd | 10 | |||
1089.3.c.m.604.11 | 16 | 33.29 | even | 10 |