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: | \( x^{16} - 2 x^{15} + 3 x^{14} - 4 x^{13} + 77 x^{12} + 88 x^{11} - 577 x^{10} + 578 x^{9} + 1520 x^{8} + \cdots + 83521 \) |
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 | 28.4 | ||
Root | \(1.64608 - 1.06057i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 33.28 |
Dual form | 33.3.g.a.13.4 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.35440 | − | 0.764990i | 1.17720 | − | 0.382495i | 0.345873 | − | 0.938281i | \(-0.387583\pi\) |
0.831325 | + | 0.555786i | \(0.187583\pi\) | |||||||
\(3\) | −1.40126 | − | 1.01807i | −0.467086 | − | 0.339358i | ||||
\(4\) | 1.72190 | − | 1.25104i | 0.430476 | − | 0.312759i | ||||
\(5\) | −0.789076 | + | 2.42853i | −0.157815 | + | 0.485705i | −0.998435 | − | 0.0559199i | \(-0.982191\pi\) |
0.840620 | + | 0.541625i | \(0.182191\pi\) | |||||||
\(6\) | −4.07793 | − | 1.32500i | −0.679656 | − | 0.220834i | ||||
\(7\) | −0.100159 | − | 0.137856i | −0.0143084 | − | 0.0196938i | 0.801803 | − | 0.597589i | \(-0.203874\pi\) |
−0.816111 | + | 0.577895i | \(0.803874\pi\) | |||||||
\(8\) | −2.72337 | + | 3.74840i | −0.340422 | + | 0.468550i | ||||
\(9\) | 0.927051 | + | 2.85317i | 0.103006 | + | 0.317019i | ||||
\(10\) | 6.32135i | 0.632135i | ||||||||
\(11\) | −7.69573 | − | 7.85976i | −0.699612 | − | 0.714523i | ||||
\(12\) | −3.68648 | −0.307207 | ||||||||
\(13\) | 18.3310 | − | 5.95611i | 1.41008 | − | 0.458163i | 0.497643 | − | 0.867382i | \(-0.334199\pi\) |
0.912436 | + | 0.409219i | \(0.134199\pi\) | |||||||
\(14\) | −0.341272 | − | 0.247948i | −0.0243766 | − | 0.0177106i | ||||
\(15\) | 3.57812 | − | 2.59966i | 0.238541 | − | 0.173310i | ||||
\(16\) | −6.17525 | + | 19.0055i | −0.385953 | + | 1.18784i | ||||
\(17\) | −19.3014 | − | 6.27142i | −1.13538 | − | 0.368907i | −0.319761 | − | 0.947498i | \(-0.603603\pi\) |
−0.815618 | + | 0.578591i | \(0.803603\pi\) | |||||||
\(18\) | 4.36529 | + | 6.00831i | 0.242516 | + | 0.333795i | ||||
\(19\) | 8.57343 | − | 11.8003i | 0.451233 | − | 0.621069i | −0.521429 | − | 0.853295i | \(-0.674601\pi\) |
0.972662 | + | 0.232226i | \(0.0746008\pi\) | |||||||
\(20\) | 1.67946 | + | 5.16886i | 0.0839732 | + | 0.258443i | ||||
\(21\) | 0.295141i | 0.0140543i | ||||||||
\(22\) | −24.1314 | − | 12.6178i | −1.09688 | − | 0.573538i | ||||
\(23\) | 7.74583 | 0.336775 | 0.168388 | − | 0.985721i | \(-0.446144\pi\) | ||||
0.168388 | + | 0.985721i | \(0.446144\pi\) | |||||||
\(24\) | 7.63230 | − | 2.47988i | 0.318012 | − | 0.103328i | ||||
\(25\) | 14.9503 | + | 10.8620i | 0.598013 | + | 0.434482i | ||||
\(26\) | 38.6022 | − | 28.0461i | 1.48470 | − | 1.07870i | ||||
\(27\) | 1.60570 | − | 4.94183i | 0.0594703 | − | 0.183031i | ||||
\(28\) | −0.344927 | − | 0.112074i | −0.0123188 | − | 0.00400263i | ||||
\(29\) | 22.4904 | + | 30.9554i | 0.775532 | + | 1.06743i | 0.995761 | + | 0.0919801i | \(0.0293196\pi\) |
−0.220229 | + | 0.975448i | \(0.570680\pi\) | |||||||
\(30\) | 6.43560 | − | 8.85785i | 0.214520 | − | 0.295262i | ||||
\(31\) | −13.0940 | − | 40.2993i | −0.422389 | − | 1.29998i | −0.905473 | − | 0.424405i | \(-0.860483\pi\) |
0.483084 | − | 0.875574i | \(-0.339517\pi\) | |||||||
\(32\) | 30.9373i | 0.966789i | ||||||||
\(33\) | 2.78189 | + | 18.8484i | 0.0842997 | + | 0.571163i | ||||
\(34\) | −50.2408 | −1.47767 | ||||||||
\(35\) | 0.413821 | − | 0.134459i | 0.0118235 | − | 0.00384167i | ||||
\(36\) | 5.16571 | + | 3.75311i | 0.143492 | + | 0.104253i | ||||
\(37\) | −41.7807 | + | 30.3554i | −1.12921 | + | 0.820417i | −0.985579 | − | 0.169214i | \(-0.945877\pi\) |
−0.143628 | + | 0.989632i | \(0.545877\pi\) | |||||||
\(38\) | 11.1581 | − | 34.3412i | 0.293635 | − | 0.903716i | ||||
\(39\) | −31.7503 | − | 10.3163i | −0.814110 | − | 0.264520i | ||||
\(40\) | −6.95414 | − | 9.57156i | −0.173854 | − | 0.239289i | ||||
\(41\) | −27.1820 | + | 37.4128i | −0.662976 | + | 0.912508i | −0.999575 | − | 0.0291401i | \(-0.990723\pi\) |
0.336600 | + | 0.941648i | \(0.390723\pi\) | |||||||
\(42\) | 0.225780 | + | 0.694880i | 0.00537572 | + | 0.0165448i | ||||
\(43\) | 59.7836i | 1.39032i | 0.718857 | + | 0.695158i | \(0.244666\pi\) | ||||
−0.718857 | + | 0.695158i | \(0.755334\pi\) | |||||||
\(44\) | −23.0842 | − | 3.90611i | −0.524640 | − | 0.0887753i | ||||
\(45\) | −7.66051 | −0.170234 | ||||||||
\(46\) | 18.2367 | − | 5.92548i | 0.396451 | − | 0.128815i | ||||
\(47\) | −27.6137 | − | 20.0626i | −0.587526 | − | 0.426863i | 0.253903 | − | 0.967230i | \(-0.418286\pi\) |
−0.841430 | + | 0.540367i | \(0.818286\pi\) | |||||||
\(48\) | 28.0021 | − | 20.3447i | 0.583377 | − | 0.423848i | ||||
\(49\) | 15.1329 | − | 46.5742i | 0.308834 | − | 0.950493i | ||||
\(50\) | 43.5083 | + | 14.1367i | 0.870167 | + | 0.282734i | ||||
\(51\) | 20.6615 | + | 28.4382i | 0.405128 | + | 0.557611i | ||||
\(52\) | 24.1130 | − | 33.1887i | 0.463711 | − | 0.638244i | ||||
\(53\) | −4.70489 | − | 14.4801i | −0.0887714 | − | 0.273210i | 0.896809 | − | 0.442418i | \(-0.145879\pi\) |
−0.985580 | + | 0.169208i | \(0.945879\pi\) | |||||||
\(54\) | − | 12.8634i | − | 0.238211i | ||||||
\(55\) | 25.1602 | − | 12.4873i | 0.457457 | − | 0.227042i | ||||
\(56\) | 0.789510 | 0.0140984 | ||||||||
\(57\) | −24.0272 | + | 7.80690i | −0.421529 | + | 0.136963i | ||||
\(58\) | 76.6320 | + | 55.6764i | 1.32124 | + | 0.959938i | ||||
\(59\) | 21.3110 | − | 15.4833i | 0.361203 | − | 0.262430i | −0.392350 | − | 0.919816i | \(-0.628338\pi\) |
0.753554 | + | 0.657386i | \(0.228338\pi\) | |||||||
\(60\) | 2.90892 | − | 8.95272i | 0.0484819 | − | 0.149212i | ||||
\(61\) | 60.2698 | + | 19.5828i | 0.988029 | + | 0.321030i | 0.758072 | − | 0.652171i | \(-0.226142\pi\) |
0.229957 | + | 0.973201i | \(0.426142\pi\) | |||||||
\(62\) | −61.6572 | − | 84.8638i | −0.994470 | − | 1.36877i | ||||
\(63\) | 0.300476 | − | 0.413569i | 0.00476946 | − | 0.00656459i | ||||
\(64\) | −1.03430 | − | 3.18325i | −0.0161609 | − | 0.0497382i | ||||
\(65\) | 49.2172i | 0.757188i | ||||||||
\(66\) | 20.9685 | + | 42.2484i | 0.317704 | + | 0.640128i | ||||
\(67\) | −2.91469 | −0.0435028 | −0.0217514 | − | 0.999763i | \(-0.506924\pi\) | ||||
−0.0217514 | + | 0.999763i | \(0.506924\pi\) | |||||||
\(68\) | −41.0810 | + | 13.3480i | −0.604133 | + | 0.196295i | ||||
\(69\) | −10.8539 | − | 7.88583i | −0.157303 | − | 0.114287i | ||||
\(70\) | 0.871439 | − | 0.633137i | 0.0124491 | − | 0.00904482i | ||||
\(71\) | 29.9080 | − | 92.0473i | 0.421239 | − | 1.29644i | −0.485311 | − | 0.874342i | \(-0.661293\pi\) |
0.906550 | − | 0.422099i | \(-0.138707\pi\) | |||||||
\(72\) | −13.2195 | − | 4.29528i | −0.183605 | − | 0.0596567i | ||||
\(73\) | −10.1852 | − | 14.0187i | −0.139523 | − | 0.192037i | 0.733537 | − | 0.679649i | \(-0.237868\pi\) |
−0.873060 | + | 0.487612i | \(0.837868\pi\) | |||||||
\(74\) | −75.1467 | + | 103.431i | −1.01550 | + | 1.39771i | ||||
\(75\) | −9.89090 | − | 30.4411i | −0.131879 | − | 0.405881i | ||||
\(76\) | − | 31.0447i | − | 0.408483i | ||||||
\(77\) | −0.312725 | + | 1.84813i | −0.00406136 | + | 0.0240017i | ||||
\(78\) | −82.6446 | −1.05955 | ||||||||
\(79\) | −50.1945 | + | 16.3092i | −0.635374 | + | 0.206445i | −0.608954 | − | 0.793205i | \(-0.708411\pi\) |
−0.0264197 | + | 0.999651i | \(0.508411\pi\) | |||||||
\(80\) | −41.2825 | − | 29.9935i | −0.516031 | − | 0.374919i | ||||
\(81\) | −7.28115 | + | 5.29007i | −0.0898908 | + | 0.0653095i | ||||
\(82\) | −35.3768 | + | 108.879i | −0.431424 | + | 1.32779i | ||||
\(83\) | 22.3267 | + | 7.25438i | 0.268996 | + | 0.0874021i | 0.440409 | − | 0.897797i | \(-0.354833\pi\) |
−0.171413 | + | 0.985199i | \(0.554833\pi\) | |||||||
\(84\) | 0.369233 | + | 0.508205i | 0.00439563 | + | 0.00605006i | ||||
\(85\) | 30.4606 | − | 41.9255i | 0.358360 | − | 0.493241i | ||||
\(86\) | 45.7338 | + | 140.754i | 0.531789 | + | 1.63668i | ||||
\(87\) | − | 66.2735i | − | 0.761764i | ||||||
\(88\) | 50.4198 | − | 7.44162i | 0.572953 | − | 0.0845639i | ||||
\(89\) | 97.1861 | 1.09198 | 0.545989 | − | 0.837792i | \(-0.316154\pi\) | ||||
0.545989 | + | 0.837792i | \(0.316154\pi\) | |||||||
\(90\) | −18.0359 | + | 5.86021i | −0.200399 | + | 0.0651135i | ||||
\(91\) | −2.65710 | − | 1.93050i | −0.0291989 | − | 0.0212142i | ||||
\(92\) | 13.3376 | − | 9.69032i | 0.144974 | − | 0.105330i | ||||
\(93\) | −22.6796 | + | 69.8005i | −0.243866 | + | 0.750543i | ||||
\(94\) | −80.3613 | − | 26.1110i | −0.854908 | − | 0.277776i | ||||
\(95\) | 21.8923 | + | 30.1321i | 0.230445 | + | 0.317180i | ||||
\(96\) | 31.4964 | − | 43.3511i | 0.328088 | − | 0.451574i | ||||
\(97\) | −15.6408 | − | 48.1375i | −0.161246 | − | 0.496263i | 0.837494 | − | 0.546446i | \(-0.184020\pi\) |
−0.998740 | + | 0.0501828i | \(0.984020\pi\) | |||||||
\(98\) | − | 121.230i | − | 1.23705i | ||||||
\(99\) | 15.2909 | − | 29.2436i | 0.154453 | − | 0.295390i | ||||
\(100\) | 39.3318 | 0.393318 | ||||||||
\(101\) | 62.5858 | − | 20.3354i | 0.619662 | − | 0.201340i | 0.0176716 | − | 0.999844i | \(-0.494375\pi\) |
0.601990 | + | 0.798504i | \(0.294375\pi\) | |||||||
\(102\) | 70.4004 | + | 51.1489i | 0.690200 | + | 0.501460i | ||||
\(103\) | −112.599 | + | 81.8082i | −1.09320 | + | 0.794254i | −0.979936 | − | 0.199311i | \(-0.936130\pi\) |
−0.113261 | + | 0.993565i | \(0.536130\pi\) | |||||||
\(104\) | −27.5963 | + | 84.9328i | −0.265349 | + | 0.816661i | ||||
\(105\) | −0.716759 | − | 0.232889i | −0.00682627 | − | 0.00221799i | ||||
\(106\) | −22.1543 | − | 30.4928i | −0.209003 | − | 0.287668i | ||||
\(107\) | −7.57953 | + | 10.4323i | −0.0708367 | + | 0.0974984i | −0.842965 | − | 0.537968i | \(-0.819192\pi\) |
0.772129 | + | 0.635466i | \(0.219192\pi\) | |||||||
\(108\) | −3.41756 | − | 10.5182i | −0.0316440 | − | 0.0973903i | ||||
\(109\) | − | 117.681i | − | 1.07964i | −0.841780 | − | 0.539821i | \(-0.818492\pi\) | ||
0.841780 | − | 0.539821i | \(-0.181508\pi\) | |||||||
\(110\) | 49.6843 | − | 48.6474i | 0.451675 | − | 0.442249i | ||||
\(111\) | 89.4496 | 0.805852 | ||||||||
\(112\) | 3.23853 | − | 1.05226i | 0.0289154 | − | 0.00939519i | ||||
\(113\) | −142.095 | − | 103.238i | −1.25748 | − | 0.913614i | −0.258850 | − | 0.965918i | \(-0.583344\pi\) |
−0.998631 | + | 0.0523039i | \(0.983344\pi\) | |||||||
\(114\) | −50.5973 | + | 36.7611i | −0.443836 | + | 0.322466i | ||||
\(115\) | −6.11205 | + | 18.8110i | −0.0531483 | + | 0.163574i | ||||
\(116\) | 77.4528 | + | 25.1659i | 0.667696 | + | 0.216948i | ||||
\(117\) | 33.9876 | + | 46.7799i | 0.290492 | + | 0.399828i | ||||
\(118\) | 38.3299 | − | 52.7566i | 0.324830 | − | 0.447090i | ||||
\(119\) | 1.06865 | + | 3.28896i | 0.00898025 | + | 0.0276384i | ||||
\(120\) | 20.4921i | 0.170767i | ||||||||
\(121\) | −2.55156 | + | 120.973i | −0.0210872 | + | 0.999778i | ||||
\(122\) | 156.880 | 1.28590 | ||||||||
\(123\) | 76.1780 | − | 24.7517i | 0.619334 | − | 0.201234i | ||||
\(124\) | −72.9627 | − | 53.0105i | −0.588408 | − | 0.427504i | ||||
\(125\) | −89.8214 | + | 65.2591i | −0.718571 | + | 0.522073i | ||||
\(126\) | 0.391063 | − | 1.20357i | 0.00310367 | − | 0.00955212i | ||||
\(127\) | −56.9179 | − | 18.4937i | −0.448172 | − | 0.145620i | 0.0762307 | − | 0.997090i | \(-0.475711\pi\) |
−0.524403 | + | 0.851470i | \(0.675711\pi\) | |||||||
\(128\) | −77.6082 | − | 106.818i | −0.606314 | − | 0.834519i | ||||
\(129\) | 60.8641 | − | 83.7722i | 0.471815 | − | 0.649397i | ||||
\(130\) | 37.6507 | + | 115.877i | 0.289621 | + | 0.891361i | ||||
\(131\) | 27.1623i | 0.207346i | 0.994611 | + | 0.103673i | \(0.0330595\pi\) | ||||
−0.994611 | + | 0.103673i | \(0.966940\pi\) | |||||||
\(132\) | 28.3702 | + | 28.9748i | 0.214925 | + | 0.219506i | ||||
\(133\) | −2.48545 | −0.0186876 | ||||||||
\(134\) | −6.86233 | + | 2.22971i | −0.0512114 | + | 0.0166396i | ||||
\(135\) | 10.7344 | + | 7.79897i | 0.0795138 | + | 0.0577701i | ||||
\(136\) | 76.0728 | − | 55.2701i | 0.559359 | − | 0.406398i | ||||
\(137\) | −25.0824 | + | 77.1956i | −0.183083 | + | 0.563472i | −0.999910 | − | 0.0134110i | \(-0.995731\pi\) |
0.816827 | + | 0.576883i | \(0.195731\pi\) | |||||||
\(138\) | −31.5870 | − | 10.2632i | −0.228891 | − | 0.0743712i | ||||
\(139\) | 114.273 | + | 157.283i | 0.822108 | + | 1.13153i | 0.989341 | + | 0.145617i | \(0.0465167\pi\) |
−0.167233 | + | 0.985917i | \(0.553483\pi\) | |||||||
\(140\) | 0.544347 | − | 0.749230i | 0.00388820 | − | 0.00535164i | ||||
\(141\) | 18.2688 | + | 56.2257i | 0.129566 | + | 0.398764i | ||||
\(142\) | − | 239.595i | − | 1.68729i | ||||||
\(143\) | −187.884 | − | 98.2408i | −1.31388 | − | 0.686999i | ||||
\(144\) | −59.9505 | −0.416323 | ||||||||
\(145\) | −92.9228 | + | 30.1924i | −0.640847 | + | 0.208224i | ||||
\(146\) | −34.7041 | − | 25.2140i | −0.237699 | − | 0.172699i | ||||
\(147\) | −68.6210 | + | 49.8561i | −0.466809 | + | 0.339157i | ||||
\(148\) | −33.9666 | + | 104.538i | −0.229504 | + | 0.706340i | ||||
\(149\) | 115.358 | + | 37.4820i | 0.774212 | + | 0.251557i | 0.669367 | − | 0.742932i | \(-0.266565\pi\) |
0.104845 | + | 0.994489i | \(0.466565\pi\) | |||||||
\(150\) | −46.5742 | − | 64.1039i | −0.310495 | − | 0.427359i | ||||
\(151\) | −60.2816 | + | 82.9704i | −0.399216 | + | 0.549473i | −0.960547 | − | 0.278118i | \(-0.910289\pi\) |
0.561331 | + | 0.827591i | \(0.310289\pi\) | |||||||
\(152\) | 20.8837 | + | 64.2733i | 0.137392 | + | 0.422850i | ||||
\(153\) | − | 60.8842i | − | 0.397936i | ||||||
\(154\) | 0.677520 | + | 4.59046i | 0.00439948 | + | 0.0298082i | ||||
\(155\) | 108.200 | 0.698066 | ||||||||
\(156\) | −67.5770 | + | 21.9571i | −0.433186 | + | 0.140751i | ||||
\(157\) | −143.464 | − | 104.232i | −0.913781 | − | 0.663901i | 0.0281874 | − | 0.999603i | \(-0.491026\pi\) |
−0.941968 | + | 0.335702i | \(0.891026\pi\) | |||||||
\(158\) | −105.701 | + | 76.7966i | −0.668997 | + | 0.486054i | ||||
\(159\) | −8.14910 | + | 25.0804i | −0.0512522 | + | 0.157738i | ||||
\(160\) | −75.1320 | − | 24.4119i | −0.469575 | − | 0.152574i | ||||
\(161\) | −0.775811 | − | 1.06781i | −0.00481870 | − | 0.00663237i | ||||
\(162\) | −13.0959 | + | 18.0249i | −0.0808387 | + | 0.111265i | ||||
\(163\) | 32.5033 | + | 100.035i | 0.199407 | + | 0.613711i | 0.999897 | + | 0.0143648i | \(0.00457262\pi\) |
−0.800490 | + | 0.599346i | \(0.795427\pi\) | |||||||
\(164\) | 98.4270i | 0.600165i | ||||||||
\(165\) | −47.9689 | − | 8.11691i | −0.290721 | − | 0.0491934i | ||||
\(166\) | 58.1154 | 0.350093 | ||||||||
\(167\) | −123.073 | + | 39.9889i | −0.736965 | + | 0.239454i | −0.653363 | − | 0.757045i | \(-0.726642\pi\) |
−0.0836021 | + | 0.996499i | \(0.526642\pi\) | |||||||
\(168\) | −1.10631 | − | 0.803780i | −0.00658517 | − | 0.00478440i | ||||
\(169\) | 163.828 | − | 119.028i | 0.969394 | − | 0.704306i | ||||
\(170\) | 39.6438 | − | 122.011i | 0.233199 | − | 0.717713i | ||||
\(171\) | 41.6163 | + | 13.5220i | 0.243370 | + | 0.0790757i | ||||
\(172\) | 74.7915 | + | 102.942i | 0.434834 | + | 0.598498i | ||||
\(173\) | 26.3311 | − | 36.2416i | 0.152203 | − | 0.209489i | −0.726106 | − | 0.687583i | \(-0.758672\pi\) |
0.878309 | + | 0.478093i | \(0.158672\pi\) | |||||||
\(174\) | −50.6985 | − | 156.034i | −0.291371 | − | 0.896747i | ||||
\(175\) | − | 3.14892i | − | 0.0179939i | ||||||
\(176\) | 196.901 | − | 97.7249i | 1.11876 | − | 0.555255i | ||||
\(177\) | −45.6254 | −0.257771 | ||||||||
\(178\) | 228.815 | − | 74.3464i | 1.28548 | − | 0.417676i | ||||
\(179\) | 257.046 | + | 186.755i | 1.43601 | + | 1.04332i | 0.988857 | + | 0.148867i | \(0.0475627\pi\) |
0.447155 | + | 0.894457i | \(0.352437\pi\) | |||||||
\(180\) | −13.1907 | + | 9.58359i | −0.0732815 | + | 0.0532421i | ||||
\(181\) | 102.216 | − | 314.588i | 0.564729 | − | 1.73806i | −0.104027 | − | 0.994574i | \(-0.533173\pi\) |
0.668756 | − | 0.743482i | \(-0.266827\pi\) | |||||||
\(182\) | −7.73267 | − | 2.51250i | −0.0424872 | − | 0.0138049i | ||||
\(183\) | −64.5167 | − | 88.7997i | −0.352550 | − | 0.485244i | ||||
\(184\) | −21.0948 | + | 29.0345i | −0.114646 | + | 0.157796i | ||||
\(185\) | −40.7509 | − | 125.418i | −0.220275 | − | 0.677937i | ||||
\(186\) | 181.688i | 0.976815i | ||||||||
\(187\) | 99.2468 | + | 199.968i | 0.530732 | + | 1.06935i | ||||
\(188\) | −72.6472 | −0.386421 | ||||||||
\(189\) | −0.842088 | + | 0.273611i | −0.00445549 | + | 0.00144768i | ||||
\(190\) | 74.5939 | + | 54.1956i | 0.392599 | + | 0.285240i | ||||
\(191\) | 102.778 | − | 74.6723i | 0.538103 | − | 0.390955i | −0.285277 | − | 0.958445i | \(-0.592086\pi\) |
0.823380 | + | 0.567490i | \(0.192086\pi\) | |||||||
\(192\) | −1.79146 | + | 5.51355i | −0.00933052 | + | 0.0287164i | ||||
\(193\) | 201.049 | + | 65.3248i | 1.04171 | + | 0.338471i | 0.779408 | − | 0.626517i | \(-0.215520\pi\) |
0.262297 | + | 0.964987i | \(0.415520\pi\) | |||||||
\(194\) | −73.6494 | − | 101.370i | −0.379636 | − | 0.522524i | ||||
\(195\) | 50.1068 | − | 68.9661i | 0.256958 | − | 0.353672i | ||||
\(196\) | −32.2086 | − | 99.1280i | −0.164330 | − | 0.505755i | ||||
\(197\) | − | 2.87439i | − | 0.0145908i | −0.999973 | − | 0.00729541i | \(-0.997678\pi\) | ||
0.999973 | − | 0.00729541i | \(-0.00232222\pi\) | |||||||
\(198\) | 13.6297 | − | 80.5484i | 0.0688371 | − | 0.406810i | ||||
\(199\) | −158.546 | −0.796713 | −0.398357 | − | 0.917231i | \(-0.630419\pi\) | ||||
−0.398357 | + | 0.917231i | \(0.630419\pi\) | |||||||
\(200\) | −81.4306 | + | 26.4584i | −0.407153 | + | 0.132292i | ||||
\(201\) | 4.08423 | + | 2.96737i | 0.0203196 | + | 0.0147630i | ||||
\(202\) | 131.795 | − | 95.7550i | 0.652453 | − | 0.474035i | ||||
\(203\) | 2.01479 | − | 6.20090i | 0.00992510 | − | 0.0305463i | ||||
\(204\) | 71.1544 | + | 23.1195i | 0.348796 | + | 0.113331i | ||||
\(205\) | −69.4094 | − | 95.5338i | −0.338582 | − | 0.466019i | ||||
\(206\) | −202.521 | + | 278.746i | −0.983112 | + | 1.35314i | ||||
\(207\) | 7.18078 | + | 22.1002i | 0.0346897 | + | 0.106764i | ||||
\(208\) | 385.170i | 1.85178i | ||||||||
\(209\) | −158.726 | + | 23.4269i | −0.759456 | + | 0.112091i | ||||
\(210\) | −1.86569 | −0.00888425 | ||||||||
\(211\) | −338.566 | + | 110.007i | −1.60458 | + | 0.521359i | −0.968234 | − | 0.250045i | \(-0.919554\pi\) |
−0.636345 | + | 0.771405i | \(0.719554\pi\) | |||||||
\(212\) | −26.2166 | − | 19.0474i | −0.123663 | − | 0.0898465i | ||||
\(213\) | −135.620 | + | 98.5335i | −0.636713 | + | 0.462599i | ||||
\(214\) | −9.86459 | + | 30.3601i | −0.0460962 | + | 0.141870i | ||||
\(215\) | −145.186 | − | 47.1738i | −0.675284 | − | 0.219413i | ||||
\(216\) | 14.1511 | + | 19.4773i | 0.0655142 | + | 0.0901725i | ||||
\(217\) | −4.24404 | + | 5.84142i | −0.0195578 | + | 0.0269190i | ||||
\(218\) | −90.0247 | − | 277.067i | −0.412957 | − | 1.27095i | ||||
\(219\) | 30.0131i | 0.137046i | ||||||||
\(220\) | 27.7013 | − | 52.9783i | 0.125915 | − | 0.240810i | ||||
\(221\) | −391.169 | −1.76999 | ||||||||
\(222\) | 210.600 | − | 68.4280i | 0.948648 | − | 0.308234i | ||||
\(223\) | 172.623 | + | 125.418i | 0.774092 | + | 0.562411i | 0.903200 | − | 0.429219i | \(-0.141211\pi\) |
−0.129108 | + | 0.991631i | \(0.541211\pi\) | |||||||
\(224\) | 4.26490 | − | 3.09863i | 0.0190397 | − | 0.0138332i | ||||
\(225\) | −17.1315 | + | 52.7255i | −0.0761402 | + | 0.234335i | ||||
\(226\) | −413.525 | − | 134.362i | −1.82976 | − | 0.594524i | ||||
\(227\) | 103.890 | + | 142.993i | 0.457666 | + | 0.629923i | 0.974023 | − | 0.226451i | \(-0.0727122\pi\) |
−0.516357 | + | 0.856374i | \(0.672712\pi\) | |||||||
\(228\) | −31.6058 | + | 43.5016i | −0.138622 | + | 0.190797i | ||||
\(229\) | −19.4570 | − | 59.8825i | −0.0849650 | − | 0.261495i | 0.899544 | − | 0.436831i | \(-0.143899\pi\) |
−0.984509 | + | 0.175335i | \(0.943899\pi\) | |||||||
\(230\) | 48.9641i | 0.212887i | ||||||||
\(231\) | 2.31974 | − | 2.27133i | 0.0100422 | − | 0.00983259i | ||||
\(232\) | −177.283 | −0.764151 | ||||||||
\(233\) | 292.304 | − | 94.9755i | 1.25453 | − | 0.407620i | 0.394985 | − | 0.918688i | \(-0.370750\pi\) |
0.859541 | + | 0.511067i | \(0.170750\pi\) | |||||||
\(234\) | 115.806 | + | 84.1383i | 0.494899 | + | 0.359565i | ||||
\(235\) | 70.5118 | − | 51.2298i | 0.300050 | − | 0.217999i | ||||
\(236\) | 17.3253 | − | 53.3217i | 0.0734122 | − | 0.225939i | ||||
\(237\) | 86.9395 | + | 28.2483i | 0.366833 | + | 0.119191i | ||||
\(238\) | 5.03205 | + | 6.92602i | 0.0211431 | + | 0.0291009i | ||||
\(239\) | 219.365 | − | 301.930i | 0.917847 | − | 1.26331i | −0.0465686 | − | 0.998915i | \(-0.514829\pi\) |
0.964415 | − | 0.264392i | \(-0.0851714\pi\) | |||||||
\(240\) | 27.3119 | + | 84.0573i | 0.113799 | + | 0.350239i | ||||
\(241\) | 13.0743i | 0.0542501i | 0.999632 | + | 0.0271250i | \(0.00863523\pi\) | ||||
−0.999632 | + | 0.0271250i | \(0.991365\pi\) | |||||||
\(242\) | 86.5358 | + | 286.771i | 0.357586 | + | 1.18500i | ||||
\(243\) | 15.5885 | 0.0641500 | ||||||||
\(244\) | 128.278 | − | 41.6799i | 0.525728 | − | 0.170819i | ||||
\(245\) | 101.166 | + | 73.5011i | 0.412921 | + | 0.300005i | ||||
\(246\) | 160.418 | − | 116.551i | 0.652107 | − | 0.473784i | ||||
\(247\) | 86.8758 | − | 267.376i | 0.351724 | − | 1.08249i | ||||
\(248\) | 186.718 | + | 60.6684i | 0.752895 | + | 0.244630i | ||||
\(249\) | −23.8999 | − | 32.8955i | −0.0959837 | − | 0.132110i | ||||
\(250\) | −161.553 | + | 222.358i | −0.646211 | + | 0.889433i | ||||
\(251\) | 42.7719 | + | 131.638i | 0.170406 | + | 0.524456i | 0.999394 | − | 0.0348107i | \(-0.0110828\pi\) |
−0.828988 | + | 0.559267i | \(0.811083\pi\) | |||||||
\(252\) | − | 1.08803i | − | 0.00431759i | ||||||
\(253\) | −59.6098 | − | 60.8803i | −0.235612 | − | 0.240634i | ||||
\(254\) | −148.155 | −0.583286 | ||||||||
\(255\) | −85.3664 | + | 27.7372i | −0.334770 | + | 0.108773i | ||||
\(256\) | −253.604 | − | 184.254i | −0.990641 | − | 0.719743i | ||||
\(257\) | 232.910 | − | 169.219i | 0.906264 | − | 0.658439i | −0.0338032 | − | 0.999429i | \(-0.510762\pi\) |
0.940067 | + | 0.340989i | \(0.110762\pi\) | |||||||
\(258\) | 79.2133 | − | 243.793i | 0.307028 | − | 0.944936i | ||||
\(259\) | 8.36939 | + | 2.71938i | 0.0323142 | + | 0.0104995i | ||||
\(260\) | 61.5726 | + | 84.7474i | 0.236818 | + | 0.325952i | ||||
\(261\) | −67.4713 | + | 92.8663i | −0.258511 | + | 0.355809i | ||||
\(262\) | 20.7789 | + | 63.9508i | 0.0793087 | + | 0.244087i | ||||
\(263\) | 338.296i | 1.28629i | 0.765742 | + | 0.643147i | \(0.222372\pi\) | ||||
−0.765742 | + | 0.643147i | \(0.777628\pi\) | |||||||
\(264\) | −78.2274 | − | 40.9035i | −0.296316 | − | 0.154937i | ||||
\(265\) | 38.8779 | 0.146709 | ||||||||
\(266\) | −5.85174 | + | 1.90134i | −0.0219990 | + | 0.00714791i | ||||
\(267\) | −136.183 | − | 98.9426i | −0.510048 | − | 0.370572i | ||||
\(268\) | −5.01881 | + | 3.64638i | −0.0187269 | + | 0.0136059i | ||||
\(269\) | −19.5161 | + | 60.0645i | −0.0725507 | + | 0.223288i | −0.980756 | − | 0.195236i | \(-0.937453\pi\) |
0.908206 | + | 0.418524i | \(0.137453\pi\) | |||||||
\(270\) | 31.2391 | + | 10.1502i | 0.115700 | + | 0.0375933i | ||||
\(271\) | −97.9877 | − | 134.868i | −0.361578 | − | 0.497670i | 0.589009 | − | 0.808126i | \(-0.299518\pi\) |
−0.950588 | + | 0.310457i | \(0.899518\pi\) | |||||||
\(272\) | 238.382 | − | 328.105i | 0.876406 | − | 1.20627i | ||||
\(273\) | 1.75790 | + | 5.41025i | 0.00643918 | + | 0.0198178i | ||||
\(274\) | 200.937i | 0.733346i | ||||||||
\(275\) | −29.6806 | − | 201.097i | −0.107929 | − | 0.731263i | ||||
\(276\) | −28.5549 | −0.103460 | ||||||||
\(277\) | 40.3083 | − | 13.0970i | 0.145517 | − | 0.0472815i | −0.235353 | − | 0.971910i | \(-0.575625\pi\) |
0.380870 | + | 0.924629i | \(0.375625\pi\) | |||||||
\(278\) | 389.364 | + | 282.889i | 1.40059 | + | 1.01759i | ||||
\(279\) | 102.842 | − | 74.7191i | 0.368609 | − | 0.267810i | ||||
\(280\) | −0.622984 | + | 1.91735i | −0.00222494 | + | 0.00684767i | ||||
\(281\) | −135.807 | − | 44.1263i | −0.483298 | − | 0.157033i | 0.0572268 | − | 0.998361i | \(-0.481774\pi\) |
−0.540525 | + | 0.841328i | \(0.681774\pi\) | |||||||
\(282\) | 86.0241 | + | 118.402i | 0.305050 | + | 0.419865i | ||||
\(283\) | 152.286 | − | 209.604i | 0.538114 | − | 0.740650i | −0.450226 | − | 0.892915i | \(-0.648657\pi\) |
0.988340 | + | 0.152264i | \(0.0486565\pi\) | |||||||
\(284\) | −63.6559 | − | 195.913i | −0.224140 | − | 0.689833i | ||||
\(285\) | − | 64.5109i | − | 0.226354i | ||||||
\(286\) | −517.507 | − | 87.5684i | −1.80947 | − | 0.306183i | ||||
\(287\) | 7.88011 | 0.0274568 | ||||||||
\(288\) | −88.2692 | + | 28.6804i | −0.306490 | + | 0.0995848i | ||||
\(289\) | 99.4092 | + | 72.2250i | 0.343976 | + | 0.249914i | ||||
\(290\) | −195.680 | + | 142.170i | −0.674759 | + | 0.490241i | ||||
\(291\) | −27.0907 | + | 83.3766i | −0.0930952 | + | 0.286518i | ||||
\(292\) | −35.0758 | − | 11.3968i | −0.120123 | − | 0.0390302i | ||||
\(293\) | 67.6072 | + | 93.0533i | 0.230741 | + | 0.317588i | 0.908651 | − | 0.417557i | \(-0.137114\pi\) |
−0.677909 | + | 0.735146i | \(0.737114\pi\) | |||||||
\(294\) | −123.422 | + | 169.875i | −0.419801 | + | 0.577807i | ||||
\(295\) | 20.7857 | + | 63.9719i | 0.0704601 | + | 0.216854i | ||||
\(296\) | − | 239.280i | − | 0.808378i | ||||||
\(297\) | −51.1986 | + | 25.4106i | −0.172386 | + | 0.0855576i | ||||
\(298\) | 300.271 | 1.00762 | ||||||||
\(299\) | 141.989 | − | 46.1350i | 0.474880 | − | 0.154298i | ||||
\(300\) | −55.1141 | − | 40.0427i | −0.183714 | − | 0.133476i | ||||
\(301\) | 8.24155 | − | 5.98784i | 0.0273806 | − | 0.0198931i | ||||
\(302\) | −78.4551 | + | 241.460i | −0.259785 | + | 0.799537i | ||||
\(303\) | −108.402 | − | 35.2219i | −0.357762 | − | 0.116244i | ||||
\(304\) | 171.327 | + | 235.812i | 0.563576 | + | 0.775696i | ||||
\(305\) | −95.1149 | + | 130.914i | −0.311852 | + | 0.429227i | ||||
\(306\) | −46.5758 | − | 143.346i | −0.152209 | − | 0.468450i | ||||
\(307\) | 22.9819i | 0.0748596i | 0.999299 | + | 0.0374298i | \(0.0119171\pi\) | ||||
−0.999299 | + | 0.0374298i | \(0.988083\pi\) | |||||||
\(308\) | 1.77359 | + | 3.57353i | 0.00575842 | + | 0.0116024i | ||||
\(309\) | 241.068 | 0.780154 | ||||||||
\(310\) | 254.746 | − | 82.7721i | 0.821762 | − | 0.267007i | ||||
\(311\) | −481.079 | − | 349.524i | −1.54688 | − | 1.12387i | −0.945831 | − | 0.324659i | \(-0.894750\pi\) |
−0.601047 | − | 0.799214i | \(-0.705250\pi\) | |||||||
\(312\) | 125.137 | − | 90.9177i | 0.401082 | − | 0.291403i | ||||
\(313\) | −161.264 | + | 496.318i | −0.515219 | + | 1.58568i | 0.267664 | + | 0.963512i | \(0.413748\pi\) |
−0.782883 | + | 0.622169i | \(0.786252\pi\) | |||||||
\(314\) | −417.507 | − | 135.656i | −1.32964 | − | 0.432026i | ||||
\(315\) | 0.767266 | + | 1.05605i | 0.00243577 | + | 0.00335254i | ||||
\(316\) | −66.0268 | + | 90.8781i | −0.208946 | + | 0.287589i | ||||
\(317\) | 47.4779 | + | 146.122i | 0.149773 | + | 0.460953i | 0.997594 | − | 0.0693294i | \(-0.0220859\pi\) |
−0.847821 | + | 0.530282i | \(0.822086\pi\) | |||||||
\(318\) | 65.2831i | 0.205293i | ||||||||
\(319\) | 70.2219 | − | 414.994i | 0.220131 | − | 1.30092i | ||||
\(320\) | 8.54675 | 0.0267086 | ||||||||
\(321\) | 21.2418 | − | 6.90187i | 0.0661737 | − | 0.0215011i | ||||
\(322\) | −2.64343 | − | 1.92057i | −0.00820942 | − | 0.00596449i | ||||
\(323\) | −239.484 | + | 173.995i | −0.741437 | + | 0.538686i | ||||
\(324\) | −5.91938 | + | 18.2180i | −0.0182697 | + | 0.0562283i | ||||
\(325\) | 338.750 | + | 110.067i | 1.04231 | + | 0.338667i | ||||
\(326\) | 153.051 | + | 210.657i | 0.469482 | + | 0.646187i | ||||
\(327\) | −119.808 | + | 164.901i | −0.366385 | + | 0.504285i | ||||
\(328\) | −66.2115 | − | 203.778i | −0.201864 | − | 0.621275i | ||||
\(329\) | 5.81617i | 0.0176783i | ||||||||
\(330\) | −119.147 | + | 17.5853i | −0.361052 | + | 0.0532888i | ||||
\(331\) | 297.441 | 0.898613 | 0.449306 | − | 0.893378i | \(-0.351671\pi\) | ||||
0.449306 | + | 0.893378i | \(0.351671\pi\) | |||||||
\(332\) | 47.5199 | − | 15.4401i | 0.143132 | − | 0.0465065i | ||||
\(333\) | −125.342 | − | 91.0663i | −0.376402 | − | 0.273472i | ||||
\(334\) | −259.172 | + | 188.299i | −0.775964 | + | 0.563771i | ||||
\(335\) | 2.29991 | − | 7.07840i | 0.00686540 | − | 0.0211295i | ||||
\(336\) | −5.60929 | − | 1.82257i | −0.0166943 | − | 0.00542432i | ||||
\(337\) | 2.45661 | + | 3.38123i | 0.00728964 | + | 0.0100333i | 0.812646 | − | 0.582757i | \(-0.198026\pi\) |
−0.805357 | + | 0.592791i | \(0.798026\pi\) | |||||||
\(338\) | 294.660 | − | 405.565i | 0.871776 | − | 1.19990i | ||||
\(339\) | 94.0081 | + | 289.327i | 0.277310 | + | 0.853473i | ||||
\(340\) | − | 110.299i | − | 0.324409i | ||||||
\(341\) | −215.975 | + | 413.049i | −0.633357 | + | 1.21129i | ||||
\(342\) | 108.325 | 0.316741 | ||||||||
\(343\) | −15.8772 | + | 5.15881i | −0.0462891 | + | 0.0150402i | ||||
\(344\) | −224.093 | − | 162.813i | −0.651433 | − | 0.473293i | ||||
\(345\) | 27.7155 | − | 20.1365i | 0.0803348 | − | 0.0583666i | ||||
\(346\) | 34.2693 | − | 105.470i | 0.0990443 | − | 0.304827i | ||||
\(347\) | −557.200 | − | 181.045i | −1.60576 | − | 0.521745i | −0.637241 | − | 0.770665i | \(-0.719924\pi\) |
−0.968524 | + | 0.248920i | \(0.919924\pi\) | |||||||
\(348\) | −82.9106 | − | 114.117i | −0.238249 | − | 0.327921i | ||||
\(349\) | −135.909 | + | 187.062i | −0.389424 | + | 0.535996i | −0.958050 | − | 0.286600i | \(-0.907475\pi\) |
0.568627 | + | 0.822596i | \(0.307475\pi\) | |||||||
\(350\) | −2.40890 | − | 7.41382i | −0.00688256 | − | 0.0211823i | ||||
\(351\) | − | 100.153i | − | 0.285335i | ||||||
\(352\) | 243.159 | − | 238.085i | 0.690794 | − | 0.676377i | ||||
\(353\) | −416.133 | −1.17885 | −0.589423 | − | 0.807824i | \(-0.700645\pi\) | ||||
−0.589423 | + | 0.807824i | \(0.700645\pi\) | |||||||
\(354\) | −107.420 | + | 34.9030i | −0.303447 | + | 0.0985960i | ||||
\(355\) | 199.940 | + | 145.265i | 0.563210 | + | 0.409196i | ||||
\(356\) | 167.345 | − | 121.583i | 0.470071 | − | 0.341526i | ||||
\(357\) | 1.85096 | − | 5.69665i | 0.00518475 | − | 0.0159570i | ||||
\(358\) | 748.054 | + | 243.058i | 2.08954 | + | 0.678932i | ||||
\(359\) | 22.2795 | + | 30.6650i | 0.0620598 | + | 0.0854179i | 0.838919 | − | 0.544257i | \(-0.183188\pi\) |
−0.776859 | + | 0.629675i | \(0.783188\pi\) | |||||||
\(360\) | 20.8624 | − | 28.7147i | 0.0579512 | − | 0.0797630i | ||||
\(361\) | 45.8115 | + | 140.993i | 0.126902 | + | 0.390563i | ||||
\(362\) | − | 818.859i | − | 2.26204i | ||||||
\(363\) | 126.735 | − | 166.917i | 0.349132 | − | 0.459826i | ||||
\(364\) | −6.99039 | −0.0192044 | ||||||||
\(365\) | 42.0817 | − | 13.6732i | 0.115292 | − | 0.0374607i | ||||
\(366\) | −219.829 | − | 159.715i | −0.600625 | − | 0.436380i | ||||
\(367\) | −177.269 | + | 128.793i | −0.483021 | + | 0.350935i | −0.802494 | − | 0.596660i | \(-0.796494\pi\) |
0.319473 | + | 0.947595i | \(0.396494\pi\) | |||||||
\(368\) | −47.8324 | + | 147.213i | −0.129979 | + | 0.400035i | ||||
\(369\) | −131.944 | − | 42.8713i | −0.357572 | − | 0.116182i | ||||
\(370\) | −191.887 | − | 264.110i | −0.518615 | − | 0.713812i | ||||
\(371\) | −1.52495 | + | 2.09891i | −0.00411037 | + | 0.00565744i | ||||
\(372\) | 48.2710 | + | 148.563i | 0.129761 | + | 0.399362i | ||||
\(373\) | 17.9491i | 0.0481209i | 0.999711 | + | 0.0240605i | \(0.00765942\pi\) | ||||
−0.999711 | + | 0.0240605i | \(0.992341\pi\) | |||||||
\(374\) | 386.640 | + | 394.881i | 1.03380 | + | 1.05583i | ||||
\(375\) | 192.302 | 0.512804 | ||||||||
\(376\) | 150.405 | − | 48.8695i | 0.400013 | − | 0.129972i | ||||
\(377\) | 596.647 | + | 433.489i | 1.58262 | + | 1.14984i | ||||
\(378\) | −1.77330 | + | 1.28838i | −0.00469127 | + | 0.00340841i | ||||
\(379\) | −14.1040 | + | 43.4075i | −0.0372136 | + | 0.114532i | −0.967938 | − | 0.251190i | \(-0.919178\pi\) |
0.930724 | + | 0.365722i | \(0.119178\pi\) | |||||||
\(380\) | 75.3929 | + | 24.4966i | 0.198402 | + | 0.0644648i | ||||
\(381\) | 60.9287 | + | 83.8611i | 0.159918 | + | 0.220108i | ||||
\(382\) | 184.856 | − | 254.432i | 0.483916 | − | 0.666053i | ||||
\(383\) | −8.70857 | − | 26.8022i | −0.0227378 | − | 0.0699797i | 0.939044 | − | 0.343798i | \(-0.111713\pi\) |
−0.961782 | + | 0.273818i | \(0.911713\pi\) | |||||||
\(384\) | 228.691i | 0.595550i | ||||||||
\(385\) | −4.24146 | − | 2.21778i | −0.0110168 | − | 0.00576045i | ||||
\(386\) | 523.322 | 1.35576 | ||||||||
\(387\) | −170.573 | + | 55.4224i | −0.440756 | + | 0.143210i | ||||
\(388\) | −87.1538 | − | 63.3210i | −0.224623 | − | 0.163198i | ||||
\(389\) | 456.950 | − | 331.994i | 1.17468 | − | 0.853454i | 0.183118 | − | 0.983091i | \(-0.441381\pi\) |
0.991562 | + | 0.129637i | \(0.0413811\pi\) | |||||||
\(390\) | 65.2129 | − | 200.705i | 0.167213 | − | 0.514627i | ||||
\(391\) | −149.506 | − | 48.5773i | −0.382367 | − | 0.124239i | ||||
\(392\) | 133.366 | + | 183.563i | 0.340220 | + | 0.468272i | ||||
\(393\) | 27.6532 | − | 38.0614i | 0.0703645 | − | 0.0968484i | ||||
\(394\) | −2.19888 | − | 6.76745i | −0.00558091 | − | 0.0171763i | ||||
\(395\) | − | 134.768i | − | 0.341185i | ||||||
\(396\) | −10.2554 | − | 69.4842i | −0.0258974 | − | 0.175465i | ||||
\(397\) | 6.35093 | 0.0159973 | 0.00799866 | − | 0.999968i | \(-0.497454\pi\) | ||||
0.00799866 | + | 0.999968i | \(0.497454\pi\) | |||||||
\(398\) | −373.280 | + | 121.286i | −0.937889 | + | 0.304739i | ||||
\(399\) | 3.48276 | + | 2.53037i | 0.00872872 | + | 0.00634179i | ||||
\(400\) | −298.760 | + | 217.062i | −0.746900 | + | 0.542655i | ||||
\(401\) | −51.2418 | + | 157.706i | −0.127785 | + | 0.393282i | −0.994398 | − | 0.105698i | \(-0.966292\pi\) |
0.866613 | + | 0.498981i | \(0.166292\pi\) | |||||||
\(402\) | 11.8859 | + | 3.86196i | 0.0295669 | + | 0.00960687i | ||||
\(403\) | −480.055 | − | 660.739i | −1.19120 | − | 1.63955i | ||||
\(404\) | 82.3265 | − | 113.313i | 0.203779 | − | 0.280477i | ||||
\(405\) | −7.10169 | − | 21.8567i | −0.0175350 | − | 0.0539673i | ||||
\(406\) | − | 16.1407i | − | 0.0397554i | ||||||
\(407\) | 560.119 | + | 94.7788i | 1.37621 | + | 0.232872i | ||||
\(408\) | −162.867 | −0.399183 | ||||||||
\(409\) | 36.1697 | − | 11.7523i | 0.0884346 | − | 0.0287341i | −0.264466 | − | 0.964395i | \(-0.585196\pi\) |
0.352900 | + | 0.935661i | \(0.385196\pi\) | |||||||
\(410\) | −236.500 | − | 171.827i | −0.576828 | − | 0.419090i | ||||
\(411\) | 113.738 | − | 82.6353i | 0.276734 | − | 0.201059i | ||||
\(412\) | −91.5402 | + | 281.732i | −0.222185 | + | 0.683815i | ||||
\(413\) | −4.26896 | − | 1.38707i | −0.0103365 | − | 0.00335852i | ||||
\(414\) | 33.8128 | + | 46.5393i | 0.0816734 | + | 0.112414i | ||||
\(415\) | −35.2349 | + | 48.4967i | −0.0849034 | + | 0.116859i | ||||
\(416\) | 184.266 | + | 567.112i | 0.442947 | + | 1.36325i | ||||
\(417\) | − | 336.733i | − | 0.807513i | ||||||
\(418\) | −355.783 | + | 176.580i | −0.851156 | + | 0.422441i | ||||
\(419\) | −254.746 | −0.607985 | −0.303993 | − | 0.952674i | \(-0.598320\pi\) | ||||
−0.303993 | + | 0.952674i | \(0.598320\pi\) | |||||||
\(420\) | −1.52554 | + | 0.495679i | −0.00363225 | + | 0.00118019i | ||||
\(421\) | −448.793 | − | 326.067i | −1.06602 | − | 0.774507i | −0.0908248 | − | 0.995867i | \(-0.528950\pi\) |
−0.975192 | + | 0.221360i | \(0.928950\pi\) | |||||||
\(422\) | −712.965 | + | 517.999i | −1.68949 | + | 1.22749i | ||||
\(423\) | 31.6425 | − | 97.3857i | 0.0748050 | − | 0.230226i | ||||
\(424\) | 67.0905 | + | 21.7990i | 0.158232 | + | 0.0514128i | ||||
\(425\) | −220.442 | − | 303.413i | −0.518688 | − | 0.713913i | ||||
\(426\) | −243.926 | + | 335.735i | −0.572595 | + | 0.788110i | ||||
\(427\) | −3.33691 | − | 10.2700i | −0.00781478 | − | 0.0240514i | ||||
\(428\) | 27.4457i | 0.0641256i | ||||||||
\(429\) | 163.258 | + | 328.941i | 0.380555 | + | 0.766762i | ||||
\(430\) | −377.913 | −0.878867 | ||||||||
\(431\) | 29.9493 | − | 9.73111i | 0.0694879 | − | 0.0225780i | −0.274067 | − | 0.961711i | \(-0.588369\pi\) |
0.343555 | + | 0.939133i | \(0.388369\pi\) | |||||||
\(432\) | 84.0062 | + | 61.0341i | 0.194459 | + | 0.141283i | ||||
\(433\) | −512.897 | + | 372.641i | −1.18452 | + | 0.860604i | −0.992674 | − | 0.120821i | \(-0.961447\pi\) |
−0.191845 | + | 0.981425i | \(0.561447\pi\) | |||||||
\(434\) | −5.52353 | + | 16.9997i | −0.0127270 | + | 0.0391697i | ||||
\(435\) | 160.947 | + | 52.2948i | 0.369993 | + | 0.120218i | ||||
\(436\) | −147.223 | − | 202.635i | −0.337668 | − | 0.464760i | ||||
\(437\) | 66.4083 | − | 91.4032i | 0.151964 | − | 0.209161i | ||||
\(438\) | 22.9597 | + | 70.6627i | 0.0524194 | + | 0.161330i | ||||
\(439\) | − | 336.283i | − | 0.766021i | −0.923744 | − | 0.383010i | \(-0.874887\pi\) | ||
0.923744 | − | 0.383010i | \(-0.125113\pi\) | |||||||
\(440\) | −21.7129 | + | 128.318i | −0.0493475 | + | 0.291632i | ||||
\(441\) | 146.913 | 0.333136 | ||||||||
\(442\) | −920.966 | + | 299.240i | −2.08363 | + | 0.677014i | ||||
\(443\) | 394.592 | + | 286.688i | 0.890728 | + | 0.647152i | 0.936068 | − | 0.351820i | \(-0.114437\pi\) |
−0.0453398 | + | 0.998972i | \(0.514437\pi\) | |||||||
\(444\) | 154.024 | − | 111.905i | 0.346900 | − | 0.252038i | ||||
\(445\) | −76.6873 | + | 236.019i | −0.172331 | + | 0.530380i | ||||
\(446\) | 502.365 | + | 163.228i | 1.12638 | + | 0.365983i | ||||
\(447\) | −123.486 | − | 169.964i | −0.276256 | − | 0.380234i | ||||
\(448\) | −0.335237 | + | 0.461414i | −0.000748297 | + | 0.00102994i | ||||
\(449\) | −206.541 | − | 635.666i | −0.460001 | − | 1.41574i | −0.865162 | − | 0.501493i | \(-0.832784\pi\) |
0.405161 | − | 0.914245i | \(-0.367216\pi\) | |||||||
\(450\) | 137.242i | 0.304982i | ||||||||
\(451\) | 503.241 | − | 74.2749i | 1.11583 | − | 0.164689i | ||||
\(452\) | −373.830 | −0.827057 | ||||||||
\(453\) | 168.940 | − | 54.8920i | 0.372936 | − | 0.121174i | ||||
\(454\) | 353.986 | + | 257.186i | 0.779706 | + | 0.566489i | ||||
\(455\) | 6.78491 | − | 4.92953i | 0.0149119 | − | 0.0108341i | ||||
\(456\) | 36.1715 | − | 111.325i | 0.0793236 | − | 0.244133i | ||||
\(457\) | 486.453 | + | 158.058i | 1.06445 | + | 0.345860i | 0.788323 | − | 0.615262i | \(-0.210950\pi\) |
0.276125 | + | 0.961122i | \(0.410950\pi\) | |||||||
\(458\) | −91.6189 | − | 126.103i | −0.200041 | − | 0.275333i | ||||
\(459\) | −61.9846 | + | 85.3145i | −0.135043 | + | 0.185870i | ||||
\(460\) | 13.0088 | + | 40.0371i | 0.0282801 | + | 0.0870371i | ||||
\(461\) | 75.7082i | 0.164226i | 0.996623 | + | 0.0821131i | \(0.0261669\pi\) | ||||
−0.996623 | + | 0.0821131i | \(0.973833\pi\) | |||||||
\(462\) | 3.72404 | − | 7.12218i | 0.00806070 | − | 0.0154160i | ||||
\(463\) | 292.607 | 0.631980 | 0.315990 | − | 0.948763i | \(-0.397663\pi\) | ||||
0.315990 | + | 0.948763i | \(0.397663\pi\) | |||||||
\(464\) | −727.206 | + | 236.283i | −1.56725 | + | 0.509232i | ||||
\(465\) | −151.616 | − | 110.156i | −0.326057 | − | 0.236894i | ||||
\(466\) | 615.545 | − | 447.220i | 1.32091 | − | 0.959699i | ||||
\(467\) | 239.339 | − | 736.611i | 0.512504 | − | 1.57733i | −0.275273 | − | 0.961366i | \(-0.588768\pi\) |
0.787778 | − | 0.615960i | \(-0.211232\pi\) | |||||||
\(468\) | 117.047 | + | 38.0308i | 0.250100 | + | 0.0812624i | ||||
\(469\) | 0.291931 | + | 0.401808i | 0.000622454 | + | 0.000856734i | ||||
\(470\) | 126.822 | − | 174.556i | 0.269835 | − | 0.371396i | ||||
\(471\) | 94.9133 | + | 292.113i | 0.201514 | + | 0.620198i | ||||
\(472\) | 122.049i | 0.258579i | ||||||||
\(473\) | 469.884 | − | 460.078i | 0.993413 | − | 0.972681i | ||||
\(474\) | 226.300 | 0.477425 | ||||||||
\(475\) | 256.351 | − | 83.2935i | 0.539686 | − | 0.175355i | ||||
\(476\) | 5.95473 | + | 4.32636i | 0.0125099 | + | 0.00908900i | ||||
\(477\) | 36.9526 | − | 26.8477i | 0.0774689 | − | 0.0562844i | ||||
\(478\) | 285.499 | − | 878.676i | 0.597279 | − | 1.83823i | ||||
\(479\) | 62.4240 | + | 20.2828i | 0.130322 | + | 0.0423440i | 0.373452 | − | 0.927650i | \(-0.378174\pi\) |
−0.243130 | + | 0.969994i | \(0.578174\pi\) | |||||||
\(480\) | 80.4262 | + | 110.697i | 0.167555 | + | 0.230619i | ||||
\(481\) | −585.083 | + | 805.297i | −1.21639 | + | 1.67421i | ||||
\(482\) | 10.0017 | + | 30.7820i | 0.0207504 | + | 0.0638631i | ||||
\(483\) | 2.28611i | 0.00473316i | ||||||||
\(484\) | 146.948 | + | 211.496i | 0.303612 | + | 0.436976i | ||||
\(485\) | 129.245 | 0.266485 | ||||||||
\(486\) | 36.7014 | − | 11.9250i | 0.0755173 | − | 0.0245371i | ||||
\(487\) | 14.6563 | + | 10.6484i | 0.0300951 | + | 0.0218653i | 0.602731 | − | 0.797944i | \(-0.294079\pi\) |
−0.572636 | + | 0.819810i | \(0.694079\pi\) | |||||||
\(488\) | −237.541 | + | 172.584i | −0.486765 | + | 0.353655i | ||||
\(489\) | 56.2974 | − | 173.265i | 0.115128 | − | 0.354326i | ||||
\(490\) | 294.412 | + | 95.6601i | 0.600840 | + | 0.195225i | ||||
\(491\) | 250.927 | + | 345.371i | 0.511053 | + | 0.703404i | 0.984096 | − | 0.177635i | \(-0.0568447\pi\) |
−0.473043 | + | 0.881039i | \(0.656845\pi\) | |||||||
\(492\) | 100.206 | − | 137.922i | 0.203671 | − | 0.280329i | ||||
\(493\) | −239.963 | − | 738.531i | −0.486741 | − | 1.49804i | ||||
\(494\) | − | 695.969i | − | 1.40884i | ||||||
\(495\) | 58.9532 | + | 60.2098i | 0.119097 | + | 0.121636i | ||||
\(496\) | 846.766 | 1.70719 | ||||||||
\(497\) | −15.6849 | + | 5.09632i | −0.0315591 | + | 0.0102542i | ||||
\(498\) | −81.4346 | − | 59.1657i | −0.163523 | − | 0.118807i | ||||
\(499\) | −230.872 | + | 167.738i | −0.462669 | + | 0.336149i | −0.794577 | − | 0.607163i | \(-0.792307\pi\) |
0.331908 | + | 0.943312i | \(0.392307\pi\) | |||||||
\(500\) | −73.0224 | + | 224.740i | −0.146045 | + | 0.449480i | ||||
\(501\) | 213.169 | + | 69.2628i | 0.425487 | + | 0.138249i | ||||
\(502\) | 201.404 | + | 277.209i | 0.401203 | + | 0.552209i | ||||
\(503\) | −319.511 | + | 439.769i | −0.635210 | + | 0.874292i | −0.998349 | − | 0.0574435i | \(-0.981705\pi\) |
0.363139 | + | 0.931735i | \(0.381705\pi\) | |||||||
\(504\) | 0.731916 | + | 2.25261i | 0.00145221 | + | 0.00446946i | ||||
\(505\) | 168.038i | 0.332748i | ||||||||
\(506\) | −186.918 | − | 97.7355i | −0.369403 | − | 0.193153i | ||||
\(507\) | −350.744 | −0.691803 | ||||||||
\(508\) | −121.143 | + | 39.3619i | −0.238471 | + | 0.0774841i | ||||
\(509\) | −158.973 | − | 115.501i | −0.312324 | − | 0.226917i | 0.420569 | − | 0.907261i | \(-0.361830\pi\) |
−0.732893 | + | 0.680344i | \(0.761830\pi\) | |||||||
\(510\) | −179.768 | + | 130.609i | −0.352486 | + | 0.256096i | ||||
\(511\) | −0.912435 | + | 2.80819i | −0.00178559 | + | 0.00549547i | ||||
\(512\) | −235.746 | − | 76.5987i | −0.460442 | − | 0.149607i | ||||
\(513\) | −44.5488 | − | 61.3162i | −0.0868398 | − | 0.119525i | ||||
\(514\) | 418.911 | − | 576.582i | 0.815003 | − | 1.12175i | ||||
\(515\) | −109.824 | − | 338.003i | −0.213250 | − | 0.656317i | ||||
\(516\) | − | 220.391i | − | 0.427114i | ||||||
\(517\) | 54.8210 | + | 371.433i | 0.106037 | + | 0.718440i | ||||
\(518\) | 21.7851 | 0.0420563 | ||||||||
\(519\) | −73.7933 | + | 23.9769i | −0.142184 | + | 0.0461983i | ||||
\(520\) | −184.486 | − | 134.037i | −0.354781 | − | 0.257763i | ||||
\(521\) | 463.782 | − | 336.958i | 0.890178 | − | 0.646752i | −0.0457468 | − | 0.998953i | \(-0.514567\pi\) |
0.935924 | + | 0.352201i | \(0.114567\pi\) | |||||||
\(522\) | −87.8124 | + | 270.259i | −0.168223 | + | 0.517737i | ||||
\(523\) | −945.004 | − | 307.050i | −1.80689 | − | 0.587094i | −0.806897 | − | 0.590693i | \(-0.798855\pi\) |
−0.999994 | + | 0.00359838i | \(0.998855\pi\) | |||||||
\(524\) | 33.9811 | + | 46.7709i | 0.0648493 | + | 0.0892575i | ||||
\(525\) | −3.20584 | + | 4.41246i | −0.00610636 | + | 0.00840468i | ||||
\(526\) | 258.793 | + | 796.482i | 0.492001 | + | 1.51422i | ||||
\(527\) | 859.954i | 1.63179i | ||||||||
\(528\) | −375.401 | − | 63.5222i | −0.710986 | − | 0.120307i | ||||
\(529\) | −469.002 | −0.886583 | ||||||||
\(530\) | 91.5341 | − | 29.7412i | 0.172706 | − | 0.0561155i | ||||
\(531\) | 63.9330 | + | 46.4500i | 0.120401 | + | 0.0874765i | ||||
\(532\) | −4.27971 | + | 3.10939i | −0.00804457 | + | 0.00584472i | ||||
\(533\) | −275.439 | + | 847.715i | −0.516772 | + | 1.59046i | ||||
\(534\) | −396.319 | − | 128.772i | −0.742170 | − | 0.241146i | ||||
\(535\) | −19.3544 | − | 26.6390i | −0.0361764 | − | 0.0497925i | ||||
\(536\) | 7.93778 | − | 10.9254i | 0.0148093 | − | 0.0203832i | ||||
\(537\) | −170.058 | − | 523.384i | −0.316681 | − | 0.974644i | ||||
\(538\) | 156.345i | 0.290604i | ||||||||
\(539\) | −482.520 | + | 239.481i | −0.895213 | + | 0.444307i | ||||
\(540\) | 28.2403 | 0.0522969 | ||||||||
\(541\) | 215.044 | − | 69.8719i | 0.397493 | − | 0.129153i | −0.103448 | − | 0.994635i | \(-0.532987\pi\) |
0.500941 | + | 0.865482i | \(0.332987\pi\) | |||||||
\(542\) | −333.875 | − | 242.574i | −0.616005 | − | 0.447554i | ||||
\(543\) | −463.505 | + | 336.756i | −0.853600 | + | 0.620177i | ||||
\(544\) | 194.021 | − | 597.134i | 0.356655 | − | 1.09767i | ||||
\(545\) | 285.791 | + | 92.8592i | 0.524388 | + | 0.170384i | ||||
\(546\) | 8.27757 | + | 11.3931i | 0.0151604 | + | 0.0208665i | ||||
\(547\) | 268.871 | − | 370.069i | 0.491538 | − | 0.676543i | −0.489133 | − | 0.872209i | \(-0.662687\pi\) |
0.980671 | + | 0.195666i | \(0.0626868\pi\) | |||||||
\(548\) | 53.3851 | + | 164.302i | 0.0974181 | + | 0.299822i | ||||
\(549\) | 190.114i | 0.346292i | ||||||||
\(550\) | −223.717 | − | 450.757i | −0.406758 | − | 0.819559i | ||||
\(551\) | 558.104 | 1.01289 | ||||||||
\(552\) | 59.1185 | − | 19.2088i | 0.107099 | − | 0.0347985i | ||||
\(553\) | 7.27574 | + | 5.28613i | 0.0131569 | + | 0.00955901i | ||||
\(554\) | 84.8827 | − | 61.6709i | 0.153218 | − | 0.111319i | ||||
\(555\) | −70.5826 | + | 217.231i | −0.127176 | + | 0.391407i | ||||
\(556\) | 393.534 | + | 127.867i | 0.707796 | + | 0.229977i | ||||
\(557\) | −165.248 | − | 227.445i | −0.296676 | − | 0.408339i | 0.634492 | − | 0.772929i | \(-0.281209\pi\) |
−0.931168 | + | 0.364590i | \(0.881209\pi\) | |||||||
\(558\) | 184.971 | − | 254.591i | 0.331490 | − | 0.456257i | ||||
\(559\) | 356.078 | + | 1095.89i | 0.636991 | + | 1.96046i | ||||
\(560\) | 8.69517i | 0.0155271i | ||||||||
\(561\) | 64.5115 | − | 381.247i | 0.114994 | − | 0.679585i | ||||
\(562\) | −353.499 | −0.629002 | ||||||||
\(563\) | 214.219 | − | 69.6039i | 0.380495 | − | 0.123630i | −0.112524 | − | 0.993649i | \(-0.535893\pi\) |
0.493019 | + | 0.870019i | \(0.335893\pi\) | |||||||
\(564\) | 101.798 | + | 73.9603i | 0.180492 | + | 0.131135i | ||||
\(565\) | 362.841 | − | 263.620i | 0.642197 | − | 0.466583i | ||||
\(566\) | 198.197 | − | 609.988i | 0.350172 | − | 1.07772i | ||||
\(567\) | 1.45854 | + | 0.473908i | 0.00257238 | + | 0.000835817i | ||||
\(568\) | 263.580 | + | 362.786i | 0.464049 | + | 0.638708i | ||||
\(569\) | −87.1966 | + | 120.016i | −0.153245 | + | 0.210924i | −0.878736 | − | 0.477308i | \(-0.841613\pi\) |
0.725491 | + | 0.688232i | \(0.241613\pi\) | |||||||
\(570\) | −49.3502 | − | 151.884i | −0.0865792 | − | 0.266464i | ||||
\(571\) | − | 111.405i | − | 0.195106i | −0.995230 | − | 0.0975528i | \(-0.968899\pi\) | ||
0.995230 | − | 0.0975528i | \(-0.0311015\pi\) | |||||||
\(572\) | −446.422 | + | 65.8888i | −0.780458 | + | 0.115190i | ||||
\(573\) | −220.040 | −0.384014 | ||||||||
\(574\) | 18.5529 | − | 6.02820i | 0.0323221 | − | 0.0105021i | ||||
\(575\) | 115.803 | + | 84.1355i | 0.201396 | + | 0.146323i | ||||
\(576\) | 8.12350 | − | 5.90207i | 0.0141033 | − | 0.0102466i | ||||
\(577\) | −167.056 | + | 514.146i | −0.289526 | + | 0.891068i | 0.695480 | + | 0.718545i | \(0.255192\pi\) |
−0.985006 | + | 0.172523i | \(0.944808\pi\) | |||||||
\(578\) | 289.300 | + | 93.9993i | 0.500519 | + | 0.162629i | ||||
\(579\) | −215.216 | − | 296.220i | −0.371703 | − | 0.511606i | ||||
\(580\) | −122.232 | + | 168.238i | −0.210745 | + | 0.290066i | ||||
\(581\) | −1.23615 | − | 3.80446i | −0.00212762 | − | 0.00654813i | ||||
\(582\) | 217.026i | 0.372896i | ||||||||
\(583\) | −77.6029 | + | 148.415i | −0.133110 | + | 0.254570i | ||||
\(584\) | 80.2858 | 0.137476 | ||||||||
\(585\) | −140.425 | + | 45.6269i | −0.240043 | + | 0.0779947i | ||||
\(586\) | 230.359 | + | 167.366i | 0.393104 | + | 0.285607i | ||||
\(587\) | −278.485 | + | 202.331i | −0.474420 | + | 0.344687i | −0.799162 | − | 0.601116i | \(-0.794723\pi\) |
0.324741 | + | 0.945803i | \(0.394723\pi\) | |||||||
\(588\) | −55.7870 | + | 171.695i | −0.0948759 | + | 0.291998i | ||||
\(589\) | −587.805 | − | 190.990i | −0.997972 | − | 0.324261i | ||||
\(590\) | 97.8757 | + | 134.714i | 0.165891 | + | 0.228329i | ||||
\(591\) | −2.92634 | + | 4.02776i | −0.00495151 | + | 0.00681517i | ||||
\(592\) | −318.913 | − | 981.513i | −0.538704 | − | 1.65796i | ||||
\(593\) | − | 723.311i | − | 1.21975i | −0.792498 | − | 0.609874i | \(-0.791220\pi\) | ||
0.792498 | − | 0.609874i | \(-0.208780\pi\) | |||||||
\(594\) | −101.103 | + | 98.9931i | −0.170207 | + | 0.166655i | ||||
\(595\) | −8.83059 | −0.0148413 | ||||||||
\(596\) | 245.526 | − | 79.7763i | 0.411956 | − | 0.133853i | ||||
\(597\) | 222.164 | + | 161.411i | 0.372134 | + | 0.270371i | ||||
\(598\) | 299.006 | − | 217.240i | 0.500009 | − | 0.363278i | ||||
\(599\) | −87.6892 | + | 269.880i | −0.146393 | + | 0.450550i | −0.997187 | − | 0.0749478i | \(-0.976121\pi\) |
0.850795 | + | 0.525498i | \(0.176121\pi\) | |||||||
\(600\) | 141.042 | + | 45.8273i | 0.235070 | + | 0.0763788i | ||||
\(601\) | 604.280 | + | 831.720i | 1.00546 | + | 1.38389i | 0.921916 | + | 0.387390i | \(0.126623\pi\) |
0.0835420 | + | 0.996504i | \(0.473377\pi\) | |||||||
\(602\) | 14.8232 | − | 20.4024i | 0.0246233 | − | 0.0338911i | ||||
\(603\) | −2.70206 | − | 8.31610i | −0.00448103 | − | 0.0137912i | ||||
\(604\) | 218.282i | 0.361393i | ||||||||
\(605\) | −291.773 | − | 101.654i | −0.482270 | − | 0.168022i | ||||
\(606\) | −282.165 | −0.465619 | ||||||||
\(607\) | 599.620 | − | 194.828i | 0.987842 | − | 0.320969i | 0.229845 | − | 0.973227i | \(-0.426178\pi\) |
0.757997 | + | 0.652258i | \(0.226178\pi\) | |||||||
\(608\) | 365.069 | + | 265.238i | 0.600443 | + | 0.436247i | ||||
\(609\) | −9.13622 | + | 6.63786i | −0.0150020 | + | 0.0108996i | ||||
\(610\) | −123.790 | + | 380.986i | −0.202934 | + | 0.624568i | ||||
\(611\) | −625.683 | − | 203.297i | −1.02403 | − | 0.332728i | ||||
\(612\) | −76.1684 | − | 104.837i | −0.124458 | − | 0.171302i | ||||
\(613\) | 330.524 | − | 454.927i | 0.539190 | − | 0.742132i | −0.449306 | − | 0.893378i | \(-0.648329\pi\) |
0.988496 | + | 0.151246i | \(0.0483286\pi\) | |||||||
\(614\) | 17.5809 | + | 54.1085i | 0.0286334 | + | 0.0881246i | ||||
\(615\) | 204.531i | 0.332571i | ||||||||
\(616\) | −6.07586 | − | 6.20536i | −0.00986340 | − | 0.0100736i | ||||
\(617\) | −892.792 | −1.44699 | −0.723494 | − | 0.690331i | \(-0.757465\pi\) | ||||
−0.723494 | + | 0.690331i | \(0.757465\pi\) | |||||||
\(618\) | 567.569 | − | 184.414i | 0.918396 | − | 0.298405i | ||||
\(619\) | −524.551 | − | 381.109i | −0.847417 | − | 0.615684i | 0.0770159 | − | 0.997030i | \(-0.475461\pi\) |
−0.924433 | + | 0.381346i | \(0.875461\pi\) | |||||||
\(620\) | 186.310 | − | 135.362i | 0.300501 | − | 0.218327i | ||||
\(621\) | 12.4375 | − | 38.2786i | 0.0200281 | − | 0.0616403i | ||||
\(622\) | −1400.03 | − | 454.898i | −2.25086 | − | 0.731348i | ||||
\(623\) | −9.73402 | − | 13.3977i | −0.0156244 | − | 0.0215052i | ||||
\(624\) | 392.132 | − | 539.723i | 0.628416 | − | 0.864940i | ||||
\(625\) | 55.1554 | + | 169.751i | 0.0882486 | + | 0.271601i | ||||
\(626\) | 1291.89i | 2.06373i | ||||||||
\(627\) | 246.267 | + | 128.768i | 0.392770 | + | 0.205372i | ||||
\(628\) | −377.429 | −0.601002 | ||||||||
\(629\) | 996.799 | − | 323.880i | 1.58474 | − | 0.514912i | ||||
\(630\) | 2.61432 | + | 1.89941i | 0.00414971 | + | 0.00301494i | ||||
\(631\) | 824.719 | − | 599.193i | 1.30700 | − | 0.949593i | 0.307005 | − | 0.951708i | \(-0.400673\pi\) |
0.999998 | + | 0.00211458i | \(0.000673092\pi\) | |||||||
\(632\) | 75.5650 | − | 232.565i | 0.119565 | − | 0.367983i | ||||
\(633\) | 586.414 | + | 190.537i | 0.926404 | + | 0.301007i | ||||
\(634\) | 223.564 | + | 307.709i | 0.352624 | + | 0.485346i | ||||
\(635\) | 89.8251 | − | 123.634i | 0.141457 | − | 0.194699i | ||||
\(636\) | 17.3445 | + | 53.3808i | 0.0272712 | + | 0.0839321i | ||||
\(637\) | − | 943.885i | − | 1.48177i | ||||||
\(638\) | −152.136 | − | 1030.78i | −0.238458 | − | 1.61564i | ||||
\(639\) | 290.353 | 0.454386 | ||||||||
\(640\) | 320.650 | − | 104.186i | 0.501016 | − | 0.162790i | ||||
\(641\) | −353.056 | − | 256.510i | −0.550789 | − | 0.400172i | 0.277287 | − | 0.960787i | \(-0.410565\pi\) |
−0.828076 | + | 0.560615i | \(0.810565\pi\) | |||||||
\(642\) | 44.7317 | − | 32.4995i | 0.0696755 | − | 0.0506222i | ||||
\(643\) | −159.050 | + | 489.507i | −0.247357 | + | 0.761285i | 0.747883 | + | 0.663830i | \(0.231070\pi\) |
−0.995240 | + | 0.0974552i | \(0.968930\pi\) | |||||||
\(644\) | −2.67175 | − | 0.868103i | −0.00414867 | − | 0.00134799i | ||||
\(645\) | 155.417 | + | 213.913i | 0.240956 | + | 0.331648i | ||||
\(646\) | −430.736 | + | 592.857i | −0.666774 | + | 0.917736i | ||||
\(647\) | 74.4847 | + | 229.240i | 0.115123 | + | 0.354313i | 0.991973 | − | 0.126452i | \(-0.0403590\pi\) |
−0.876849 | + | 0.480765i | \(0.840359\pi\) | |||||||
\(648\) | − | 41.6995i | − | 0.0643511i | ||||||
\(649\) | −285.699 | − | 48.3437i | −0.440214 | − | 0.0744895i | ||||
\(650\) | 881.753 | 1.35654 | ||||||||
\(651\) | 11.8940 | − | 3.86459i | 0.0182704 | − | 0.00593640i | ||||
\(652\) | 181.115 | + | 131.588i | 0.277784 | + | 0.201822i | ||||
\(653\) | 131.498 | − | 95.5386i | 0.201374 | − | 0.146307i | −0.482528 | − | 0.875881i | \(-0.660281\pi\) |
0.683903 | + | 0.729573i | \(0.260281\pi\) | |||||||
\(654\) | −155.927 | + | 479.895i | −0.238421 | + | 0.733784i | ||||
\(655\) | −65.9644 | − | 21.4331i | −0.100709 | − | 0.0327223i | ||||
\(656\) | −543.192 | − | 747.640i | −0.828037 | − | 1.13969i | ||||
\(657\) | 30.5556 | − | 42.0561i | 0.0465077 | − | 0.0640123i | ||||
\(658\) | 4.44931 | + | 13.6936i | 0.00676187 | + | 0.0208109i | ||||
\(659\) | 1078.94i | 1.63724i | 0.574332 | + | 0.818622i | \(0.305262\pi\) | ||||
−0.574332 | + | 0.818622i | \(0.694738\pi\) | |||||||
\(660\) | −92.7524 | + | 46.0343i | −0.140534 | + | 0.0697490i | ||||
\(661\) | 428.584 | 0.648387 | 0.324193 | − | 0.945991i | \(-0.394907\pi\) | ||||
0.324193 | + | 0.945991i | \(0.394907\pi\) | |||||||
\(662\) | 700.293 | − | 227.539i | 1.05785 | − | 0.343715i | ||||
\(663\) | 548.129 | + | 398.239i | 0.826740 | + | 0.600662i | ||||
\(664\) | −87.9961 | + | 63.9329i | −0.132524 | + | 0.0962845i | ||||
\(665\) | 1.96121 | − | 6.03599i | 0.00294919 | − | 0.00907667i | ||||
\(666\) | −364.770 | − | 118.521i | −0.547702 | − | 0.177959i | ||||
\(667\) | 174.207 | + | 239.775i | 0.261180 | + | 0.359483i | ||||
\(668\) | −161.893 | + | 222.826i | −0.242354 | + | 0.333572i | ||||
\(669\) | −114.204 | − | 351.485i | −0.170709 | − | 0.525389i | ||||
\(670\) | − | 18.4248i | − | 0.0274996i | ||||||
\(671\) | −309.903 | − | 624.410i | −0.461853 | − | 0.930566i | ||||
\(672\) | −9.13086 | −0.0135876 | ||||||||
\(673\) | −249.836 | + | 81.1765i | −0.371227 | + | 0.120619i | −0.488688 | − | 0.872459i | \(-0.662524\pi\) |
0.117461 | + | 0.993077i | \(0.462524\pi\) | |||||||
\(674\) | 8.37044 | + | 6.08148i | 0.0124191 | + | 0.00902297i | ||||
\(675\) | 77.6842 | − | 56.4408i | 0.115088 | − | 0.0836161i | ||||
\(676\) | 133.187 | − | 409.909i | 0.197023 | − | 0.606374i | ||||
\(677\) | 142.544 | + | 46.3152i | 0.210552 | + | 0.0684125i | 0.412394 | − | 0.911006i | \(-0.364693\pi\) |
−0.201842 | + | 0.979418i | \(0.564693\pi\) | |||||||
\(678\) | 442.665 | + | 609.276i | 0.652898 | + | 0.898637i | ||||
\(679\) | −5.06950 | + | 6.97757i | −0.00746613 | + | 0.0102762i | ||||
\(680\) | 74.1978 | + | 228.357i | 0.109114 | + | 0.335819i | ||||
\(681\) | − | 306.137i | − | 0.449541i | ||||||
\(682\) | −192.512 | + | 1137.70i | −0.282276 | + | 1.66818i | ||||
\(683\) | −52.4276 | −0.0767608 | −0.0383804 | − | 0.999263i | \(-0.512220\pi\) | ||||
−0.0383804 | + | 0.999263i | \(0.512220\pi\) | |||||||
\(684\) | 88.5757 | − | 28.7800i | 0.129497 | − | 0.0420760i | ||||
\(685\) | −167.680 | − | 121.826i | −0.244788 | − | 0.177849i | ||||
\(686\) | −33.4347 | + | 24.2917i | −0.0487387 | + | 0.0354107i | ||||
\(687\) | −33.7005 | + | 103.719i | −0.0490546 | + | 0.150974i | ||||
\(688\) | −1136.21 | − | 369.178i | −1.65147 | − | 0.536596i | ||||
\(689\) | −172.491 | − | 237.413i | −0.250350 | − | 0.344577i | ||||
\(690\) | 49.8491 | − | 68.6114i | 0.0722450 | − | 0.0994368i | ||||
\(691\) | −60.7905 | − | 187.094i | −0.0879747 | − | 0.270758i | 0.897385 | − | 0.441249i | \(-0.145465\pi\) |
−0.985359 | + | 0.170491i | \(0.945465\pi\) | |||||||
\(692\) | − | 95.3458i | − | 0.137783i | ||||||
\(693\) | −5.56293 | + | 0.821051i | −0.00802732 | + | 0.00118478i | ||||
\(694\) | −1450.37 | −2.08987 | ||||||||
\(695\) | −472.137 | + | 153.407i | −0.679334 | + | 0.220729i | ||||
\(696\) | 248.419 | + | 180.487i | 0.356925 | + | 0.259321i | ||||
\(697\) | 759.283 | − | 551.652i | 1.08936 | − | 0.791466i | ||||
\(698\) | −176.882 | + | 544.388i | −0.253413 | + | 0.779925i | ||||
\(699\) | −506.286 | − | 164.502i | −0.724301 | − | 0.235340i | ||||
\(700\) | −3.93942 | − | 5.42215i | −0.00562774 | − | 0.00774593i | ||||
\(701\) | −521.017 | + | 717.119i | −0.743248 | + | 1.02299i | 0.255177 | + | 0.966894i | \(0.417866\pi\) |
−0.998425 | + | 0.0560992i | \(0.982134\pi\) | |||||||
\(702\) | −76.6158 | − | 235.799i | −0.109139 | − | 0.335896i | ||||
\(703\) | 753.275i | 1.07152i | ||||||||
\(704\) | −17.0599 | + | 32.6268i | −0.0242328 | + | 0.0463448i | ||||
\(705\) | −150.961 | −0.214129 | ||||||||
\(706\) | −979.741 | + | 318.337i | −1.38774 | + | 0.450903i | ||||
\(707\) | −9.07187 | − | 6.59110i | −0.0128315 | − | 0.00932263i | ||||
\(708\) | −78.5626 | + | 57.0791i | −0.110964 | + | 0.0806202i | ||||
\(709\) | 95.8971 | − | 295.141i | 0.135257 | − | 0.416278i | −0.860373 | − | 0.509665i | \(-0.829769\pi\) |
0.995630 | + | 0.0933872i | \(0.0297694\pi\) | |||||||
\(710\) | 581.863 | + | 189.059i | 0.819526 | + | 0.266280i | ||||
\(711\) | −93.0658 | − | 128.094i | −0.130894 | − | 0.180160i | ||||
\(712\) | −264.674 | + | 364.292i | −0.371733 | + | 0.511647i | ||||
\(713\) | −101.424 | − | 312.152i | −0.142250 | − | 0.437800i | ||||
\(714\) | − | 14.8281i | − | 0.0207677i | ||||||
\(715\) | 386.836 | − | 378.763i | 0.541029 | − | 0.529738i | ||||
\(716\) | 676.246 | 0.944478 | ||||||||
\(717\) | −614.775 | + | 199.753i | −0.857427 | + | 0.278595i | ||||
\(718\) | 75.9131 | + | 55.1541i | 0.105729 | + | 0.0768163i | ||||
\(719\) | −364.996 | + | 265.185i | −0.507644 | + | 0.368825i | −0.811929 | − | 0.583756i | \(-0.801582\pi\) |
0.304285 | + | 0.952581i | \(0.401582\pi\) | |||||||
\(720\) | 47.3056 | − | 145.592i | 0.0657022 | − | 0.202210i | ||||
\(721\) | 22.5556 | + | 7.32875i | 0.0312837 | + | 0.0101647i | ||||
\(722\) | 215.717 | + | 296.909i | 0.298777 | + | 0.411231i | ||||
\(723\) | 13.3106 | − | 18.3204i | 0.0184102 | − | 0.0253395i | ||||
\(724\) | −217.555 | − | 669.567i | −0.300491 | − | 0.924816i | ||||
\(725\) | 707.086i | 0.975290i | ||||||||
\(726\) | 170.695 | − | 489.939i | 0.235116 | − | 0.674848i | ||||
\(727\) | −89.6851 | −0.123363 | −0.0616817 | − | 0.998096i | \(-0.519646\pi\) | ||||
−0.0616817 | + | 0.998096i | \(0.519646\pi\) | |||||||
\(728\) | 14.4725 | − | 4.70241i | 0.0198799 | − | 0.00645936i | ||||
\(729\) | −21.8435 | − | 15.8702i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | 88.6171 | − | 64.3841i | 0.121393 | − | 0.0881974i | ||||
\(731\) | 374.928 | − | 1153.91i | 0.512897 | − | 1.57854i | ||||
\(732\) | −222.183 | − | 72.1917i | −0.303529 | − | 0.0986226i | ||||
\(733\) | −327.682 | − | 451.016i | −0.447042 | − | 0.615301i | 0.524716 | − | 0.851277i | \(-0.324171\pi\) |
−0.971759 | + | 0.235976i | \(0.924171\pi\) | |||||||
\(734\) | −318.835 | + | 438.839i | −0.434381 | + | 0.597874i | ||||
\(735\) | −66.9296 | − | 205.988i | −0.0910607 | − | 0.280256i | ||||
\(736\) | 239.635i | 0.325591i | ||||||||
\(737\) | 22.4306 | + | 22.9087i | 0.0304351 | + | 0.0310838i | ||||
\(738\) | −343.445 | −0.465373 | ||||||||
\(739\) | 91.0451 | − | 29.5823i | 0.123200 | − | 0.0400302i | −0.246768 | − | 0.969075i | \(-0.579369\pi\) |
0.369968 | + | 0.929044i | \(0.379369\pi\) | |||||||
\(740\) | −227.072 | − | 164.977i | −0.306854 | − | 0.222943i | ||||
\(741\) | −393.944 | + | 286.217i | −0.531639 | + | 0.386258i | ||||
\(742\) | −1.98469 | + | 6.10823i | −0.00267478 | + | 0.00823212i | ||||
\(743\) | 1066.46 | + | 346.515i | 1.43535 | + | 0.466373i | 0.920444 | − | 0.390876i | \(-0.127828\pi\) |
0.514904 | + | 0.857248i | \(0.327828\pi\) | |||||||
\(744\) | −199.875 | − | 275.105i | −0.268650 | − | 0.369764i | ||||
\(745\) | −182.052 | + | 250.573i | −0.244365 | + | 0.336339i | ||||
\(746\) | 13.7309 | + | 42.2593i | 0.0184060 | + | 0.0566479i | ||||
\(747\) | 70.4270i | 0.0942797i | ||||||||
\(748\) | 421.061 | + | 220.164i | 0.562915 | + | 0.294337i | ||||
\(749\) | 2.19732 | 0.00293367 | ||||||||
\(750\) | 452.754 | − | 147.109i | 0.603672 | − | 0.196145i | ||||
\(751\) | 206.616 | + | 150.115i | 0.275121 | + | 0.199887i | 0.716786 | − | 0.697293i | \(-0.245612\pi\) |
−0.441666 | + | 0.897180i | \(0.645612\pi\) | |||||||
\(752\) | 551.820 | − | 400.920i | 0.733803 | − | 0.533139i | ||||
\(753\) | 74.0831 | − | 228.004i | 0.0983840 | − | 0.302795i | ||||
\(754\) | 1736.36 | + | 564.177i | 2.30286 | + | 0.748245i | ||||
\(755\) | −153.929 | − | 211.865i | −0.203880 | − | 0.280616i | ||||
\(756\) | −1.10770 | + | 1.52462i | −0.00146521 | + | 0.00201669i | ||||
\(757\) | 38.2727 | + | 117.791i | 0.0505584 | + | 0.155603i | 0.973148 | − | 0.230180i | \(-0.0739314\pi\) |
−0.922590 | + | 0.385783i | \(0.873931\pi\) | |||||||
\(758\) | 112.988i | 0.149061i | ||||||||
\(759\) | 21.5480 | + | 145.996i | 0.0283900 | + | 0.192353i | ||||
\(760\) | −172.568 | −0.227063 | ||||||||
\(761\) | −331.927 | + | 107.850i | −0.436172 | + | 0.141721i | −0.518869 | − | 0.854854i | \(-0.673647\pi\) |
0.0826967 | + | 0.996575i | \(0.473647\pi\) | |||||||
\(762\) | 207.603 | + | 150.832i | 0.272445 | + | 0.197943i | ||||
\(763\) | −16.2231 | + | 11.7867i | −0.0212622 | + | 0.0154479i | ||||
\(764\) | 83.5555 | − | 257.157i | 0.109366 | − | 0.336593i | ||||
\(765\) | 147.859 | + | 48.0423i | 0.193280 | + | 0.0628004i | ||||
\(766\) | −41.0068 | − | 56.4411i | −0.0535337 | − | 0.0736829i | ||||
\(767\) | 298.432 | − | 410.757i | 0.389090 | − | 0.535537i | ||||
\(768\) | 167.781 | + | 516.375i | 0.218464 | + | 0.672364i | ||||
\(769\) | − | 867.000i | − | 1.12744i | −0.825966 | − | 0.563719i | \(-0.809370\pi\) | ||
0.825966 | − | 0.563719i | \(-0.190630\pi\) | |||||||
\(770\) | −11.6827 | − | 1.97684i | −0.0151723 | − | 0.00256733i | ||||
\(771\) | −498.644 | −0.646750 | ||||||||
\(772\) | 427.911 | − | 139.037i | 0.554289 | − | 0.180099i | ||||
\(773\) | 140.552 | + | 102.117i | 0.181827 | + | 0.132105i | 0.674976 | − | 0.737840i | \(-0.264154\pi\) |
−0.493149 | + | 0.869945i | \(0.664154\pi\) | |||||||
\(774\) | −359.198 | + | 260.973i | −0.464080 | + | 0.337174i | ||||
\(775\) | 241.973 | − | 744.716i | 0.312223 | − | 0.960924i | ||||
\(776\) | 223.034 | + | 72.4683i | 0.287416 | + | 0.0933870i | ||||
\(777\) | −8.95914 | − | 12.3312i | −0.0115304 | − | 0.0158703i | ||||
\(778\) | 821.870 | − | 1131.21i | 1.05639 | − | 1.45399i | ||||
\(779\) | 208.440 | + | 641.512i | 0.267574 | + | 0.823507i | ||||
\(780\) | − | 181.438i | − | 0.232613i | ||||||
\(781\) | −953.633 | + | 473.302i | −1.22104 | + | 0.606020i | ||||
\(782\) | −389.157 | −0.497643 | ||||||||
\(783\) | 189.089 | − | 61.4389i | 0.241494 | − | 0.0784660i | ||||
\(784\) | 791.714 | + | 575.214i | 1.00984 | + | 0.733691i | ||||
\(785\) | 366.335 | − | 266.158i | 0.466669 | − | 0.339055i | ||||
\(786\) | 35.9901 | − | 110.766i | 0.0457889 | − | 0.140924i | ||||
\(787\) | 43.0442 | + | 13.9859i | 0.0546940 | + | 0.0177712i | 0.336236 | − | 0.941778i | \(-0.390846\pi\) |
−0.281542 | + | 0.959549i | \(0.590846\pi\) | |||||||
\(788\) | −3.59597 | − | 4.94943i | −0.00456341 | − | 0.00628100i | ||||
\(789\) | 344.410 | − | 474.040i | 0.436514 | − | 0.600811i | ||||
\(790\) | −103.096 | − | 317.297i | −0.130501 | − | 0.401642i | ||||
\(791\) | 29.9290i | 0.0378369i | ||||||||
\(792\) | 67.9740 | + | 136.958i | 0.0858257 | + | 0.172926i | ||||
\(793\) | 1221.44 | 1.54028 | ||||||||
\(794\) | 14.9526 | − | 4.85840i | 0.0188320 | − | 0.00611889i | ||||
\(795\) | −54.4781 | − | 39.5806i | −0.0685259 | − | 0.0497869i | ||||
\(796\) | −273.001 | + | 198.347i | −0.342966 | + | 0.249179i | ||||
\(797\) | 291.551 | − | 897.301i | 0.365810 | − | 1.12585i | −0.583662 | − | 0.811997i | \(-0.698381\pi\) |
0.949472 | − | 0.313852i | \(-0.101619\pi\) | |||||||
\(798\) | 10.1355 | + | 3.29323i | 0.0127011 | + | 0.00412685i | ||||
\(799\) | 407.164 | + | 560.414i | 0.509593 | + | 0.701394i | ||||
\(800\) | −336.042 | + | 462.522i | −0.420052 | + | 0.578152i | ||||
\(801\) | 90.0965 | + | 277.288i | 0.112480 | + | 0.346178i | ||||
\(802\) | 410.502i | 0.511848i | ||||||||
\(803\) | −31.8012 | + | 187.937i | −0.0396030 | + | 0.234044i | ||||
\(804\) | 10.7449 | 0.0133644 | ||||||||
\(805\) | 3.20539 | − | 1.04149i | 0.00398185 | − | 0.00129378i | ||||
\(806\) | −1635.70 | − | 1188.40i | −2.02940 | − | 1.47445i | ||||
\(807\) | 88.4972 | − | 64.2970i | 0.109662 | − | 0.0796741i | ||||
\(808\) | −94.2194 | + | 289.977i | −0.116608 | + | 0.358883i | ||||
\(809\) | 502.635 | + | 163.316i | 0.621304 | + | 0.201874i | 0.602719 | − | 0.797953i | \(-0.294084\pi\) |
0.0185847 | + | 0.999827i | \(0.494084\pi\) | |||||||
\(810\) | −33.4404 | − | 46.0267i | −0.0412844 | − | 0.0568231i | ||||
\(811\) | 430.074 | − | 591.946i | 0.530301 | − | 0.729896i | −0.456876 | − | 0.889531i | \(-0.651032\pi\) |
0.987176 | + | 0.159634i | \(0.0510316\pi\) | |||||||
\(812\) | −4.28827 | − | 13.1979i | −0.00528112 | − | 0.0162536i | ||||
\(813\) | 288.744i | 0.355159i | ||||||||
\(814\) | 1391.25 | − | 205.339i | 1.70915 | − | 0.252259i | ||||
\(815\) | −268.585 | −0.329552 | ||||||||
\(816\) | −668.071 | + | 217.069i | −0.818714 | + | 0.266016i | ||||
\(817\) | 705.465 | + | 512.550i | 0.863482 | + | 0.627356i | ||||
\(818\) | 76.1675 | − | 55.3390i | 0.0931143 | − | 0.0676515i | ||||
\(819\) | 3.04476 | − | 9.37082i | 0.00371766 | − | 0.0114418i | ||||
\(820\) | −239.033 | − | 77.6664i | −0.291503 | − | 0.0947151i | ||||
\(821\) | −661.205 | − | 910.071i | −0.805366 | − | 1.10849i | −0.992022 | − | 0.126066i | \(-0.959765\pi\) |
0.186656 | − | 0.982425i | \(-0.440235\pi\) | |||||||
\(822\) | 204.569 | − | 281.564i | 0.248867 | − | 0.342536i | ||||
\(823\) | 73.6727 | + | 226.741i | 0.0895172 | + | 0.275506i | 0.985786 | − | 0.168005i | \(-0.0537326\pi\) |
−0.896269 | + | 0.443511i | \(0.853733\pi\) | |||||||
\(824\) | − | 644.861i | − | 0.782599i | ||||||
\(825\) | −163.142 | + | 312.006i | −0.197748 | + | 0.378189i | ||||
\(826\) | −11.1119 | −0.0134527 | ||||||||
\(827\) | −1461.01 | + | 474.709i | −1.76663 | + | 0.574014i | −0.997853 | − | 0.0654992i | \(-0.979136\pi\) |
−0.768780 | + | 0.639513i | \(0.779136\pi\) | |||||||
\(828\) | 40.0127 | + | 29.0710i | 0.0483246 | + | 0.0351098i | ||||
\(829\) | −1275.44 | + | 926.658i | −1.53852 | + | 1.11780i | −0.587269 | + | 0.809392i | \(0.699797\pi\) |
−0.951253 | + | 0.308410i | \(0.900203\pi\) | |||||||
\(830\) | −45.8575 | + | 141.135i | −0.0552499 | + | 0.170042i | ||||
\(831\) | −69.8161 | − | 22.6846i | −0.0840145 | − | 0.0272980i | ||||
\(832\) | −37.9196 | − | 52.1918i | −0.0455764 | − | 0.0627306i | ||||
\(833\) | −584.172 | + | 804.044i | −0.701287 | + | 0.965239i | ||||
\(834\) | −257.597 | − | 792.803i | −0.308870 | − | 0.950603i | ||||
\(835\) | − | 330.441i | − | 0.395738i | ||||||
\(836\) | −244.004 | + | 238.911i | −0.291870 | + | 0.285779i | ||||
\(837\) | −220.178 | −0.263056 | ||||||||
\(838\) | −599.773 | + | 194.878i | −0.715719 | + | 0.232551i | ||||
\(839\) | 38.4075 | + | 27.9047i | 0.0457777 | + | 0.0332595i | 0.610439 | − | 0.792063i | \(-0.290993\pi\) |
−0.564661 | + | 0.825323i | \(0.690993\pi\) | |||||||
\(840\) | 2.82496 | − | 2.05246i | 0.00336305 | − | 0.00244340i | ||||
\(841\) | −192.535 | + | 592.563i | −0.228936 | + | 0.704593i | ||||
\(842\) | −1306.07 | − | 424.369i | −1.55116 | − | 0.504002i | ||||
\(843\) | 145.376 | + | 200.094i | 0.172451 | + | 0.237359i | ||||
\(844\) | −445.356 | + | 612.980i | −0.527673 | + | 0.726280i | ||||
\(845\) | 159.790 | + | 491.782i | 0.189100 | + | 0.581990i | ||||
\(846\) | − | 253.491i | − | 0.299634i | ||||||
\(847\) | 16.9325 | − | 11.7647i | 0.0199911 | − | 0.0138899i | ||||
\(848\) | 304.256 | 0.358792 | ||||||||
\(849\) | −426.785 | + | 138.671i | −0.502691 | + | 0.163334i | ||||
\(850\) | −751.116 | − | 545.718i | −0.883666 | − | 0.642021i | ||||
\(851\) | −323.626 | + | 235.128i | −0.380289 | + | 0.276296i | ||||
\(852\) | −110.255 | + | 339.331i | −0.129408 | + | 0.398275i | ||||
\(853\) | 706.895 | + | 229.684i | 0.828716 | + | 0.269266i | 0.692505 | − | 0.721413i | \(-0.256507\pi\) |
0.136212 | + | 0.990680i | \(0.456507\pi\) | |||||||
\(854\) | −15.7128 | − | 21.6269i | −0.0183991 | − | 0.0253242i | ||||
\(855\) | −65.6769 | + | 90.3964i | −0.0768150 | + | 0.105727i | ||||
\(856\) | −18.4627 | − | 56.8222i | −0.0215685 | − | 0.0663811i | ||||
\(857\) | − | 572.262i | − | 0.667750i | −0.942617 | − | 0.333875i | \(-0.891644\pi\) | ||
0.942617 | − | 0.333875i | \(-0.108356\pi\) | |||||||
\(858\) | 636.010 | + | 649.567i | 0.741271 | + | 0.757071i | ||||
\(859\) | −792.198 | −0.922233 | −0.461117 | − | 0.887340i | \(-0.652551\pi\) | ||||
−0.461117 | + | 0.887340i | \(0.652551\pi\) | |||||||
\(860\) | −309.013 | + | 100.404i | −0.359317 | + | 0.116749i | ||||
\(861\) | −11.0421 | − | 8.02253i | −0.0128247 | − | 0.00931769i | ||||
\(862\) | 63.0682 | − | 45.8218i | 0.0731650 | − | 0.0531575i | ||||
\(863\) | 325.355 | − | 1001.34i | 0.377005 | − | 1.16030i | −0.565111 | − | 0.825015i | \(-0.691167\pi\) |
0.942116 | − | 0.335287i | \(-0.108833\pi\) | |||||||
\(864\) | 152.887 | + | 49.6759i | 0.176952 | + | 0.0574953i | ||||
\(865\) | 67.2365 | + | 92.5432i | 0.0777301 | + | 0.106986i | ||||
\(866\) | −922.496 | + | 1269.71i | −1.06524 | + | 1.46617i | ||||
\(867\) | −65.7676 | − | 202.412i | −0.0758565 | − | 0.233462i | ||||
\(868\) | 15.3678i | 0.0177049i | ||||||||
\(869\) | 514.470 | + | 269.006i | 0.592025 | + | 0.309558i | ||||
\(870\) | 418.938 | 0.481538 | ||||||||
\(871\) | −53.4292 | + | 17.3602i | −0.0613424 | + | 0.0199314i | ||||
\(872\) | 441.115 | + | 320.489i | 0.505866 | + | 0.367533i | ||||
\(873\) | 122.845 | − | 89.2519i | 0.140716 | − | 0.102236i | ||||
\(874\) | 86.4290 | − | 266.001i | 0.0988890 | − | 0.304349i | ||||
\(875\) | 17.9928 | + | 5.84621i | 0.0205632 | + | 0.00668138i | ||||
\(876\) | 37.5475 | + | 51.6797i | 0.0428624 | + | 0.0589951i | ||||
\(877\) | 834.571 | − | 1148.69i | 0.951621 | − | 1.30979i | 0.000816940 | − | 1.00000i | \(-0.499740\pi\) |
0.950804 | − | 0.309794i | \(-0.100260\pi\) | |||||||
\(878\) | −257.253 | − | 791.744i | −0.292999 | − | 0.901758i | ||||
\(879\) | − | 199.221i | − | 0.226645i | ||||||
\(880\) | 81.9574 | + | 555.292i | 0.0931334 | + | 0.631014i | ||||
\(881\) | 952.550 | 1.08121 | 0.540607 | − | 0.841275i | \(-0.318195\pi\) | ||||
0.540607 | + | 0.841275i | \(0.318195\pi\) | |||||||
\(882\) | 345.891 | − | 112.387i | 0.392167 | − | 0.127423i | ||||
\(883\) | −287.851 | − | 209.136i | −0.325992 | − | 0.236847i | 0.412736 | − | 0.910851i | \(-0.364573\pi\) |
−0.738728 | + | 0.674004i | \(0.764573\pi\) | |||||||
\(884\) | −673.555 | + | 489.367i | −0.761940 | + | 0.553582i | ||||
\(885\) | 36.0019 | − | 110.803i | 0.0406802 | − | 0.125201i | ||||
\(886\) | 1148.34 | + | 373.118i | 1.29610 | + | 0.421127i | ||||
\(887\) | 606.794 | + | 835.180i | 0.684097 | + | 0.941578i | 0.999974 | − | 0.00722178i | \(-0.00229878\pi\) |
−0.315877 | + | 0.948800i | \(0.602299\pi\) | |||||||
\(888\) | −243.605 | + | 335.293i | −0.274329 | + | 0.377582i | ||||
\(889\) | 3.15133 | + | 9.69880i | 0.00354480 | + | 0.0109098i | ||||
\(890\) | 614.348i | 0.690278i | ||||||||
\(891\) | 97.6124 | + | 16.5172i | 0.109554 | + | 0.0185378i | ||||
\(892\) | 454.142 | 0.509128 | ||||||||
\(893\) | −473.489 | + | 153.846i | −0.530223 | + | 0.172280i | ||||
\(894\) | −420.757 | − | 305.698i | −0.470645 | − | 0.341944i | ||||
\(895\) | −656.368 | + | 476.880i | −0.733373 | + | 0.532826i | ||||
\(896\) | −6.95249 | + | 21.3976i | −0.00775948 | + | 0.0238812i | ||||
\(897\) | −245.932 | − | 79.9082i | −0.274172 | − | 0.0890839i | ||||
\(898\) | −972.557 | − | 1338.61i | −1.08303 | − | 1.49066i | ||||
\(899\) | 952.992 | − | 1311.68i | 1.06006 | − | 1.45904i | ||||
\(900\) | 36.4626 | + | 112.220i | 0.0405140 | + | 0.124689i | ||||
\(901\) | 308.994i | 0.342946i | ||||||||
\(902\) | 1128.01 | − | 559.847i | 1.25056 | − | 0.620673i | ||||
\(903\) | −17.6446 | −0.0195400 | ||||||||
\(904\) | 773.957 | − | 251.474i | 0.856147 | − | 0.278179i | ||||
\(905\) | 683.330 | + | 496.468i | 0.755061 | + | 0.548584i | ||||
\(906\) | 355.760 | − | 258.475i | 0.392671 | − | 0.285292i | ||||
\(907\) | −335.921 | + | 1033.86i | −0.370365 | + | 1.13987i | 0.576188 | + | 0.817317i | \(0.304540\pi\) |
−0.946553 | + | 0.322549i | \(0.895460\pi\) | |||||||
\(908\) | 357.778 | + | 116.249i | 0.394028 | + | 0.128028i | ||||
\(909\) | 116.041 | + | 159.716i | 0.127657 | + | 0.175705i | ||||
\(910\) | 12.2033 | − | 16.7965i | 0.0134103 | − | 0.0184576i | ||||
\(911\) | 123.647 | + | 380.547i | 0.135727 | + | 0.417724i | 0.995702 | − | 0.0926112i | \(-0.0295214\pi\) |
−0.859976 | + | 0.510335i | \(0.829521\pi\) | |||||||
\(912\) | − | 504.857i | − | 0.553571i | ||||||
\(913\) | −114.802 | − | 231.310i | −0.125742 | − | 0.253351i | ||||
\(914\) | 1266.21 | 1.38536 | ||||||||
\(915\) | 266.561 | − | 86.6109i | 0.291324 | − | 0.0946568i | ||||
\(916\) | −108.418 | − | 78.7705i | −0.118361 | − | 0.0859940i | ||||
\(917\) | 3.74450 | − | 2.72054i | 0.00408342 | − | 0.00296678i | ||||
\(918\) | −80.6717 | + | 248.282i | −0.0878776 | + | 0.270460i | ||||
\(919\) | −1281.48 | − | 416.379i | −1.39443 | − | 0.453079i | −0.487047 | − | 0.873376i | \(-0.661926\pi\) |
−0.907387 | + | 0.420297i | \(0.861926\pi\) | |||||||
\(920\) | −53.8656 | − | 74.1396i | −0.0585496 | − | 0.0805866i | ||||
\(921\) | 23.3973 | − | 32.2036i | 0.0254042 | − | 0.0349659i | ||||
\(922\) | 57.9160 | + | 178.247i | 0.0628156 | + | 0.193327i | ||||
\(923\) | − | 1865.46i | − | 2.02108i | ||||||
\(924\) | 1.15286 | − | 6.81309i | 0.00124768 | − | 0.00737347i | ||||
\(925\) | −954.357 | −1.03174 | ||||||||
\(926\) | 688.912 | − | 223.841i | 0.743966 | − | 0.241729i | ||||
\(927\) | −337.798 | − | 245.425i | −0.364399 | − | 0.264751i | ||||
\(928\) | −957.676 | + | 695.792i | −1.03198 | + | 0.749776i | ||||
\(929\) | −461.399 | + | 1420.04i | −0.496662 | + | 1.52857i | 0.317689 | + | 0.948195i | \(0.397093\pi\) |
−0.814351 | + | 0.580373i | \(0.802907\pi\) | |||||||
\(930\) | −441.233 | − | 143.365i | −0.474445 | − | 0.154156i | ||||
\(931\) | −419.849 | − | 577.873i | −0.450966 | − | 0.620701i | ||||
\(932\) | 384.503 | − | 529.222i | 0.412556 | − | 0.567835i | ||||
\(933\) | 318.274 | + | 979.548i | 0.341130 | + | 1.04989i | ||||
\(934\) | − | 1917.37i | − | 2.05286i | ||||||
\(935\) | −563.941 | + | 83.2338i | −0.603145 | + | 0.0890201i | ||||
\(936\) | −267.911 | −0.286229 | ||||||||
\(937\) | −529.343 | + | 171.994i | −0.564934 | + | 0.183558i | −0.577540 | − | 0.816362i | \(-0.695987\pi\) |
0.0126060 | + | 0.999921i | \(0.495987\pi\) | |||||||
\(938\) | 0.994700 | + | 0.722692i | 0.00106045 | + | 0.000770461i | ||||
\(939\) | 731.261 | − | 531.292i | 0.778765 | − | 0.565806i | ||||
\(940\) | 57.3242 | − | 176.426i | 0.0609832 | − | 0.187687i | ||||
\(941\) | 801.454 | + | 260.408i | 0.851704 | + | 0.276735i | 0.702160 | − | 0.712020i | \(-0.252219\pi\) |
0.149544 | + | 0.988755i | \(0.452219\pi\) | |||||||
\(942\) | 446.927 | + | 615.142i | 0.474445 | + | 0.653017i | ||||
\(943\) | −210.547 | + | 289.793i | −0.223274 | + | 0.307310i | ||||
\(944\) | 162.667 | + | 500.639i | 0.172317 | + | 0.530338i | ||||
\(945\) | − | 2.26093i | − | 0.00239252i | ||||||
\(946\) | 754.339 | − | 1442.66i | 0.797399 | − | 1.52501i | ||||
\(947\) | 789.960 | 0.834171 | 0.417085 | − | 0.908867i | \(-0.363052\pi\) | ||||
0.417085 | + | 0.908867i | \(0.363052\pi\) | |||||||
\(948\) | 185.041 | − | 60.1235i | 0.195191 | − | 0.0634214i | ||||
\(949\) | −270.202 | − | 196.313i | −0.284723 | − | 0.206863i | ||||
\(950\) | 539.833 | − | 392.212i | 0.568245 | − | 0.412854i | ||||
\(951\) | 82.2342 | − | 253.091i | 0.0864713 | − | 0.266131i | ||||
\(952\) | −15.2387 | − | 4.95135i | −0.0160070 | − | 0.00520100i | ||||
\(953\) | 686.198 | + | 944.471i | 0.720040 | + | 0.991050i | 0.999522 | + | 0.0308995i | \(0.00983719\pi\) |
−0.279482 | + | 0.960151i | \(0.590163\pi\) | |||||||
\(954\) | 66.4630 | − | 91.4785i | 0.0696677 | − | 0.0958894i | ||||
\(955\) | 100.244 | + | 308.520i | 0.104968 | + | 0.323058i | ||||
\(956\) | − | 794.330i | − | 0.830889i | ||||||
\(957\) | −520.893 | + | 510.023i | −0.544298 | + | 0.532939i | ||||
\(958\) | 162.487 | 0.169611 | ||||||||
\(959\) | 13.1541 | − | 4.27404i | 0.0137165 | − | 0.00445676i | ||||
\(960\) | −11.9762 | − | 8.70122i | −0.0124752 | − | 0.00906377i | ||||
\(961\) | −675.117 | + | 490.501i | −0.702515 | + | 0.510407i | ||||
\(962\) | −761.472 | + | 2343.57i | −0.791551 | + | 2.43614i | ||||
\(963\) | −36.7918 | − | 11.9544i | −0.0382054 | − | 0.0124137i | ||||
\(964\) | 16.3564 | + | 22.5127i | 0.0169672 | + | 0.0233534i | ||||
\(965\) | −317.286 | + | 436.707i | −0.328794 | + | 0.452546i | ||||
\(966\) | 1.74885 | + | 5.38242i | 0.00181041 | + | 0.00557186i | ||||
\(967\) | 840.359i | 0.869037i | 0.900663 | + | 0.434518i | \(0.143081\pi\) | ||||
−0.900663 | + | 0.434518i | \(0.856919\pi\) | |||||||
\(968\) | −446.507 | − | 339.019i | −0.461267 | − | 0.350226i | ||||
\(969\) | 512.720 | 0.529122 | ||||||||
\(970\) | 304.294 | − | 98.8712i | 0.313705 | − | 0.101929i | ||||
\(971\) | −1011.70 | − | 735.040i | −1.04191 | − | 0.756993i | −0.0712535 | − | 0.997458i | \(-0.522700\pi\) |
−0.970658 | + | 0.240465i | \(0.922700\pi\) | |||||||
\(972\) | 26.8418 | − | 19.5017i | 0.0276151 | − | 0.0200635i | ||||
\(973\) | 10.2371 | − | 31.5065i | 0.0105212 | − | 0.0323808i | ||||
\(974\) | 42.6527 | + | 13.8587i | 0.0437912 | + | 0.0142286i | ||||
\(975\) | −362.621 | − | 499.105i | −0.371919 | − | 0.511902i | ||||
\(976\) | −744.361 | + | 1024.53i | −0.762665 | + | 1.04972i | ||||
\(977\) | 35.4053 | + | 108.966i | 0.0362388 | + | 0.111532i | 0.967540 | − | 0.252720i | \(-0.0813250\pi\) |
−0.931301 | + | 0.364251i | \(0.881325\pi\) | |||||||
\(978\) | − | 451.002i | − | 0.461148i | ||||||
\(979\) | −747.918 | − | 763.859i | −0.763961 | − | 0.780244i | ||||
\(980\) | 266.150 | 0.271582 | ||||||||
\(981\) | 335.763 | − | 109.096i | 0.342267 | − | 0.111209i | ||||
\(982\) | 854.987 | + | 621.185i | 0.870659 | + | 0.632571i | ||||
\(983\) | 690.929 | − | 501.989i | 0.702878 | − | 0.510670i | −0.177991 | − | 0.984032i | \(-0.556960\pi\) |
0.880868 | + | 0.473362i | \(0.156960\pi\) | |||||||
\(984\) | −114.682 | + | 352.954i | −0.116546 | + | 0.358693i | ||||
\(985\) | 6.98053 | + | 2.26811i | 0.00708684 | + | 0.00230265i | ||||
\(986\) | −1129.94 | − | 1555.23i | −1.14598 | − | 1.57731i | ||||
\(987\) | 5.92129 | − | 8.14996i | 0.00599928 | − | 0.00825730i | ||||
\(988\) | −184.906 | − | 569.081i | −0.187151 | − | 0.575993i | ||||
\(989\) | 463.073i | 0.468224i | ||||||||
\(990\) | 184.859 | + | 96.6591i | 0.186726 | + | 0.0976354i | ||||
\(991\) | 1236.21 | 1.24743 | 0.623716 | − | 0.781651i | \(-0.285622\pi\) | ||||
0.623716 | + | 0.781651i | \(0.285622\pi\) | |||||||
\(992\) | 1246.75 | − | 405.094i | 1.25681 | − | 0.408361i | ||||
\(993\) | −416.791 | − | 302.817i | −0.419730 | − | 0.304951i | ||||
\(994\) | −33.0297 | + | 23.9975i | −0.0332291 | + | 0.0241424i | ||||
\(995\) | 125.105 | − | 385.033i | 0.125733 | − | 0.386968i | ||||
\(996\) | −82.3069 | − | 26.7431i | −0.0826374 | − | 0.0268505i | ||||
\(997\) | 414.382 | + | 570.347i | 0.415628 | + | 0.572063i | 0.964580 | − | 0.263791i | \(-0.0849729\pi\) |
−0.548952 | + | 0.835854i | \(0.684973\pi\) | |||||||
\(998\) | −415.246 | + | 571.537i | −0.416078 | + | 0.572682i | ||||
\(999\) | 82.9244 | + | 255.215i | 0.0830074 | + | 0.255470i |
(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.28.4 | yes | 16 | |
3.2 | odd | 2 | 99.3.k.c.28.1 | 16 | |||
4.3 | odd | 2 | 528.3.bf.b.193.3 | 16 | |||
11.2 | odd | 10 | inner | 33.3.g.a.13.4 | ✓ | 16 | |
11.3 | even | 5 | 363.3.c.e.241.4 | 16 | |||
11.4 | even | 5 | 363.3.g.a.118.4 | 16 | |||
11.5 | even | 5 | 363.3.g.g.40.1 | 16 | |||
11.6 | odd | 10 | 363.3.g.a.40.4 | 16 | |||
11.7 | odd | 10 | 363.3.g.g.118.1 | 16 | |||
11.8 | odd | 10 | 363.3.c.e.241.13 | 16 | |||
11.9 | even | 5 | 363.3.g.f.112.1 | 16 | |||
11.10 | odd | 2 | 363.3.g.f.94.1 | 16 | |||
33.2 | even | 10 | 99.3.k.c.46.1 | 16 | |||
33.8 | even | 10 | 1089.3.c.m.604.4 | 16 | |||
33.14 | odd | 10 | 1089.3.c.m.604.13 | 16 | |||
44.35 | even | 10 | 528.3.bf.b.145.3 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.3.g.a.13.4 | ✓ | 16 | 11.2 | odd | 10 | inner | |
33.3.g.a.28.4 | yes | 16 | 1.1 | even | 1 | trivial | |
99.3.k.c.28.1 | 16 | 3.2 | odd | 2 | |||
99.3.k.c.46.1 | 16 | 33.2 | even | 10 | |||
363.3.c.e.241.4 | 16 | 11.3 | even | 5 | |||
363.3.c.e.241.13 | 16 | 11.8 | odd | 10 | |||
363.3.g.a.40.4 | 16 | 11.6 | odd | 10 | |||
363.3.g.a.118.4 | 16 | 11.4 | even | 5 | |||
363.3.g.f.94.1 | 16 | 11.10 | odd | 2 | |||
363.3.g.f.112.1 | 16 | 11.9 | even | 5 | |||
363.3.g.g.40.1 | 16 | 11.5 | even | 5 | |||
363.3.g.g.118.1 | 16 | 11.7 | odd | 10 | |||
528.3.bf.b.145.3 | 16 | 44.35 | even | 10 | |||
528.3.bf.b.193.3 | 16 | 4.3 | odd | 2 | |||
1089.3.c.m.604.4 | 16 | 33.8 | even | 10 | |||
1089.3.c.m.604.13 | 16 | 33.14 | odd | 10 |