Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,3,Mod(17,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.f (of order \(18\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.41418028264\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 54) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 89.2 | ||
Character | \(\chi\) | \(=\) | 162.89 |
Dual form | 162.3.f.a.71.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{1}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39273 | − | 0.245576i | −0.696364 | − | 0.122788i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.87939 | + | 0.684040i | 0.469846 | + | 0.171010i | ||||
\(5\) | −0.379008 | − | 0.451684i | −0.0758015 | − | 0.0903368i | 0.726811 | − | 0.686838i | \(-0.241002\pi\) |
−0.802612 | + | 0.596501i | \(0.796557\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.96297 | − | 1.07843i | 0.423282 | − | 0.154062i | −0.121592 | − | 0.992580i | \(-0.538800\pi\) |
0.544874 | + | 0.838518i | \(0.316578\pi\) | |||||||
\(8\) | −2.44949 | − | 1.41421i | −0.306186 | − | 0.176777i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.416932 | + | 0.722148i | 0.0416932 | + | 0.0722148i | ||||
\(11\) | 6.03341 | − | 7.19034i | 0.548492 | − | 0.653667i | −0.418577 | − | 0.908181i | \(-0.637471\pi\) |
0.967069 | + | 0.254514i | \(0.0819154\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.11998 | + | 12.0230i | 0.163076 | + | 0.924847i | 0.951027 | + | 0.309109i | \(0.100031\pi\) |
−0.787951 | + | 0.615738i | \(0.788858\pi\) | |||||||
\(14\) | −4.39145 | + | 0.774332i | −0.313675 | + | 0.0553094i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.06418 | + | 2.57115i | 0.191511 | + | 0.160697i | ||||
\(17\) | 24.5140 | − | 14.1532i | 1.44200 | − | 0.832539i | 0.444017 | − | 0.896018i | \(-0.353553\pi\) |
0.997983 | + | 0.0634789i | \(0.0202195\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 11.2011 | − | 19.4008i | 0.589530 | − | 1.02110i | −0.404764 | − | 0.914421i | \(-0.632646\pi\) |
0.994294 | − | 0.106675i | \(-0.0340205\pi\) | |||||||
\(20\) | −0.403332 | − | 1.10814i | −0.0201666 | − | 0.0554072i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −10.1687 | + | 8.53254i | −0.462213 | + | 0.387843i | ||||
\(23\) | −3.44380 | + | 9.46175i | −0.149730 | + | 0.411381i | −0.991770 | − | 0.128036i | \(-0.959133\pi\) |
0.842039 | + | 0.539416i | \(0.181355\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.28083 | − | 24.2778i | 0.171233 | − | 0.971112i | ||||
\(26\) | − | 17.2654i | − | 0.664054i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 6.30626 | 0.225224 | ||||||||
\(29\) | 23.6767 | + | 4.17484i | 0.816437 | + | 0.143960i | 0.566246 | − | 0.824237i | \(-0.308395\pi\) |
0.250191 | + | 0.968196i | \(0.419506\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 42.7251 | + | 15.5506i | 1.37823 | + | 0.501634i | 0.921640 | − | 0.388045i | \(-0.126849\pi\) |
0.456587 | + | 0.889679i | \(0.349072\pi\) | |||||||
\(32\) | −3.63616 | − | 4.33340i | −0.113630 | − | 0.135419i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −37.6170 | + | 13.6915i | −1.10638 | + | 0.402691i | ||||
\(35\) | −1.61010 | − | 0.929592i | −0.0460029 | − | 0.0265598i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −15.7500 | − | 27.2799i | −0.425677 | − | 0.737293i | 0.570807 | − | 0.821084i | \(-0.306631\pi\) |
−0.996483 | + | 0.0837909i | \(0.973297\pi\) | |||||||
\(38\) | −20.3644 | + | 24.2694i | −0.535906 | + | 0.638668i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.289598 | + | 1.64239i | 0.00723995 | + | 0.0410598i | ||||
\(41\) | −69.7771 | + | 12.3036i | −1.70188 | + | 0.300087i | −0.938351 | − | 0.345685i | \(-0.887646\pi\) |
−0.763530 | + | 0.645773i | \(0.776535\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −11.1607 | − | 9.36490i | −0.259550 | − | 0.217788i | 0.503722 | − | 0.863866i | \(-0.331964\pi\) |
−0.763272 | + | 0.646078i | \(0.776408\pi\) | |||||||
\(44\) | 16.2576 | − | 9.38633i | 0.369491 | − | 0.213326i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 7.11985 | − | 12.3319i | 0.154779 | − | 0.268086i | ||||
\(47\) | 18.9216 | + | 51.9868i | 0.402588 | + | 1.10610i | 0.961002 | + | 0.276540i | \(0.0891878\pi\) |
−0.558414 | + | 0.829562i | \(0.688590\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −29.9200 | + | 25.1059i | −0.610612 | + | 0.512364i | ||||
\(50\) | −11.9241 | + | 32.7611i | −0.238482 | + | 0.655223i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −4.23996 | + | 24.0460i | −0.0815378 | + | 0.462424i | ||||
\(53\) | 25.4089i | 0.479412i | 0.970845 | + | 0.239706i | \(0.0770511\pi\) | ||||
−0.970845 | + | 0.239706i | \(0.922949\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −5.53447 | −0.100627 | ||||||||
\(56\) | −8.78291 | − | 1.54866i | −0.156838 | − | 0.0276547i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −31.9499 | − | 11.6288i | −0.550861 | − | 0.200497i | ||||
\(59\) | −18.4282 | − | 21.9619i | −0.312343 | − | 0.372236i | 0.586919 | − | 0.809645i | \(-0.300341\pi\) |
−0.899263 | + | 0.437409i | \(0.855896\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −106.265 | + | 38.6772i | −1.74205 | + | 0.634053i | −0.999366 | − | 0.0355933i | \(-0.988668\pi\) |
−0.742680 | + | 0.669646i | \(0.766446\pi\) | |||||||
\(62\) | −55.6855 | − | 32.1501i | −0.898154 | − | 0.518549i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.00000 | + | 6.92820i | 0.0625000 | + | 0.108253i | ||||
\(65\) | 4.62711 | − | 5.51438i | 0.0711863 | − | 0.0848365i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 8.68700 | + | 49.2664i | 0.129657 | + | 0.735320i | 0.978432 | + | 0.206567i | \(0.0662291\pi\) |
−0.848776 | + | 0.528753i | \(0.822660\pi\) | |||||||
\(68\) | 55.7526 | − | 9.83069i | 0.819891 | − | 0.144569i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.01415 | + | 1.69007i | 0.0287735 | + | 0.0241439i | ||||
\(71\) | 7.59817 | − | 4.38680i | 0.107016 | − | 0.0617860i | −0.445536 | − | 0.895264i | \(-0.646987\pi\) |
0.552553 | + | 0.833478i | \(0.313654\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −11.7358 | + | 20.3271i | −0.160765 | + | 0.278453i | −0.935143 | − | 0.354270i | \(-0.884729\pi\) |
0.774378 | + | 0.632723i | \(0.218063\pi\) | |||||||
\(74\) | 15.2363 | + | 41.8613i | 0.205895 | + | 0.565693i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 34.3221 | − | 28.7997i | 0.451606 | − | 0.378943i | ||||
\(77\) | 10.1225 | − | 27.8114i | 0.131461 | − | 0.361187i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 23.0535 | − | 130.743i | 0.291816 | − | 1.65497i | −0.388053 | − | 0.921637i | \(-0.626852\pi\) |
0.679869 | − | 0.733334i | \(-0.262037\pi\) | |||||||
\(80\) | − | 2.35853i | − | 0.0294816i | ||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 100.202 | 1.22198 | ||||||||
\(83\) | 66.1377 | + | 11.6619i | 0.796839 | + | 0.140504i | 0.557223 | − | 0.830363i | \(-0.311867\pi\) |
0.239617 | + | 0.970868i | \(0.422978\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −15.6838 | − | 5.70842i | −0.184515 | − | 0.0671579i | ||||
\(86\) | 13.2440 | + | 15.7835i | 0.154000 | + | 0.183530i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −24.9475 | + | 9.08013i | −0.283494 | + | 0.103183i | ||||
\(89\) | −62.9935 | − | 36.3693i | −0.707792 | − | 0.408644i | 0.102451 | − | 0.994738i | \(-0.467332\pi\) |
−0.810243 | + | 0.586094i | \(0.800665\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 19.2475 | + | 33.3376i | 0.211511 | + | 0.366347i | ||||
\(92\) | −12.9444 | + | 15.4266i | −0.140700 | + | 0.167680i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −13.5860 | − | 77.0502i | −0.144532 | − | 0.819683i | ||||
\(95\) | −13.0083 | + | 2.29372i | −0.136930 | + | 0.0241444i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 120.419 | + | 101.043i | 1.24143 | + | 1.04168i | 0.997411 | + | 0.0719147i | \(0.0229109\pi\) |
0.244021 | + | 0.969770i | \(0.421534\pi\) | |||||||
\(98\) | 47.8358 | − | 27.6180i | 0.488120 | − | 0.281816i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 24.6523 | − | 42.6991i | 0.246523 | − | 0.426991i | ||||
\(101\) | −42.9450 | − | 117.991i | −0.425198 | − | 1.16822i | −0.948694 | − | 0.316195i | \(-0.897595\pi\) |
0.523496 | − | 0.852028i | \(-0.324628\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 72.1665 | − | 60.5548i | 0.700645 | − | 0.587911i | −0.221312 | − | 0.975203i | \(-0.571034\pi\) |
0.921957 | + | 0.387292i | \(0.126589\pi\) | |||||||
\(104\) | 11.8102 | − | 32.4484i | 0.113560 | − | 0.312003i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 6.23979 | − | 35.3876i | 0.0588660 | − | 0.333846i | ||||
\(107\) | 107.896i | 1.00838i | 0.863594 | + | 0.504188i | \(0.168208\pi\) | ||||
−0.863594 | + | 0.504188i | \(0.831792\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −42.9667 | −0.394190 | −0.197095 | − | 0.980384i | \(-0.563151\pi\) | ||||
−0.197095 | + | 0.980384i | \(0.563151\pi\) | |||||||
\(110\) | 7.70802 | + | 1.35913i | 0.0700729 | + | 0.0123557i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 11.8519 | + | 4.31374i | 0.105820 | + | 0.0385155i | ||||
\(113\) | −6.89768 | − | 8.22034i | −0.0610414 | − | 0.0727463i | 0.734660 | − | 0.678436i | \(-0.237342\pi\) |
−0.795701 | + | 0.605689i | \(0.792897\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.57895 | − | 2.03057i | 0.0485126 | − | 0.0176571i | ||||
\(116\) | 41.6418 | + | 24.0419i | 0.358981 | + | 0.207258i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 20.2722 | + | 35.1125i | 0.171799 | + | 0.297564i | ||||
\(119\) | 57.3711 | − | 68.3722i | 0.482110 | − | 0.574556i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.71249 | + | 32.3971i | 0.0472106 | + | 0.267745i | ||||
\(122\) | 157.496 | − | 27.7708i | 1.29095 | − | 0.227630i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 69.6596 | + | 58.4513i | 0.561771 | + | 0.471382i | ||||
\(125\) | −25.3543 | + | 14.6383i | −0.202834 | + | 0.117106i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −49.1507 | + | 85.1315i | −0.387013 | + | 0.670327i | −0.992046 | − | 0.125874i | \(-0.959827\pi\) |
0.605033 | + | 0.796200i | \(0.293160\pi\) | |||||||
\(128\) | −3.86952 | − | 10.6314i | −0.0302306 | − | 0.0830579i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −7.79850 | + | 6.54372i | −0.0599885 | + | 0.0503363i | ||||
\(131\) | 46.8665 | − | 128.765i | 0.357760 | − | 0.982937i | −0.622045 | − | 0.782981i | \(-0.713698\pi\) |
0.979805 | − | 0.199956i | \(-0.0640799\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 12.2660 | − | 69.5638i | 0.0922253 | − | 0.523036i | ||||
\(134\) | − | 70.7481i | − | 0.527971i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −80.0624 | −0.588694 | ||||||||
\(137\) | −197.146 | − | 34.7622i | −1.43902 | − | 0.253739i | −0.600947 | − | 0.799289i | \(-0.705210\pi\) |
−0.838078 | + | 0.545550i | \(0.816321\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.69802 | − | 2.43788i | −0.0481872 | − | 0.0175387i | 0.317814 | − | 0.948153i | \(-0.397051\pi\) |
−0.366001 | + | 0.930614i | \(0.619273\pi\) | |||||||
\(140\) | −2.39012 | − | 2.84844i | −0.0170723 | − | 0.0203460i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −11.6595 | + | 4.24370i | −0.0821090 | + | 0.0298852i | ||||
\(143\) | 99.2403 | + | 57.2964i | 0.693988 | + | 0.400674i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.08794 | − | 12.2767i | −0.0488823 | − | 0.0846666i | ||||
\(146\) | 21.3367 | − | 25.4281i | 0.146142 | − | 0.174165i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −10.9399 | − | 62.0430i | −0.0739180 | − | 0.419210i | ||||
\(149\) | −92.3284 | + | 16.2800i | −0.619654 | + | 0.109262i | −0.474658 | − | 0.880171i | \(-0.657428\pi\) |
−0.144996 | + | 0.989432i | \(0.546317\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 154.567 | + | 129.697i | 1.02362 | + | 0.858921i | 0.990078 | − | 0.140516i | \(-0.0448762\pi\) |
0.0335439 | + | 0.999437i | \(0.489321\pi\) | |||||||
\(152\) | −54.8738 | + | 31.6814i | −0.361012 | + | 0.208430i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −20.9277 | + | 36.2479i | −0.135894 | + | 0.235376i | ||||
\(155\) | −9.16915 | − | 25.1920i | −0.0591558 | − | 0.162529i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −56.2262 | + | 47.1794i | −0.358128 | + | 0.300505i | −0.804044 | − | 0.594569i | \(-0.797323\pi\) |
0.445916 | + | 0.895075i | \(0.352878\pi\) | |||||||
\(158\) | −64.2144 | + | 176.428i | −0.406420 | + | 1.11663i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.579196 | + | 3.28479i | −0.00361998 | + | 0.0205299i | ||||
\(161\) | 31.7488i | 0.197198i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −217.128 | −1.33208 | −0.666038 | − | 0.745918i | \(-0.732011\pi\) | ||||
−0.666038 | + | 0.745918i | \(0.732011\pi\) | |||||||
\(164\) | −139.554 | − | 24.6072i | −0.850940 | − | 0.150044i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −89.2480 | − | 32.4836i | −0.537638 | − | 0.195684i | ||||
\(167\) | 138.533 | + | 165.098i | 0.829541 | + | 0.988609i | 0.999995 | + | 0.00324290i | \(0.00103225\pi\) |
−0.170454 | + | 0.985366i | \(0.554523\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 18.7495 | − | 6.82427i | 0.110944 | − | 0.0403803i | ||||
\(170\) | 20.4414 | + | 11.8018i | 0.120243 | + | 0.0694225i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −14.5692 | − | 25.2346i | −0.0847046 | − | 0.146713i | ||||
\(173\) | −40.5261 | + | 48.2971i | −0.234255 | + | 0.279174i | −0.870347 | − | 0.492439i | \(-0.836105\pi\) |
0.636092 | + | 0.771613i | \(0.280550\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −13.4980 | − | 76.5511i | −0.0771316 | − | 0.437435i | ||||
\(176\) | 36.9749 | − | 6.51967i | 0.210085 | − | 0.0370436i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 78.8015 | + | 66.1223i | 0.442705 | + | 0.371473i | ||||
\(179\) | −172.225 | + | 99.4340i | −0.962150 | + | 0.555497i | −0.896834 | − | 0.442367i | \(-0.854139\pi\) |
−0.0653157 | + | 0.997865i | \(0.520805\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −35.6490 | + | 61.7458i | −0.196956 | + | 0.341137i | −0.947540 | − | 0.319638i | \(-0.896439\pi\) |
0.750584 | + | 0.660775i | \(0.229772\pi\) | |||||||
\(182\) | −18.6196 | − | 51.1569i | −0.102306 | − | 0.281082i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 21.8165 | − | 18.3062i | 0.118568 | − | 0.0994902i | ||||
\(185\) | −6.35249 | + | 17.4533i | −0.0343378 | + | 0.0943422i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 46.1370 | − | 261.656i | 0.246722 | − | 1.39923i | ||||
\(188\) | 110.646i | 0.588545i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 18.6804 | 0.0983177 | ||||||||
\(191\) | 98.1741 | + | 17.3107i | 0.514000 | + | 0.0906322i | 0.424631 | − | 0.905366i | \(-0.360404\pi\) |
0.0893693 | + | 0.995999i | \(0.471515\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −178.750 | − | 65.0595i | −0.926164 | − | 0.337096i | −0.165476 | − | 0.986214i | \(-0.552916\pi\) |
−0.760688 | + | 0.649118i | \(0.775138\pi\) | |||||||
\(194\) | −142.897 | − | 170.298i | −0.736582 | − | 0.877825i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −73.4046 | + | 26.7171i | −0.374513 | + | 0.136312i | ||||
\(197\) | 159.929 | + | 92.3348i | 0.811820 | + | 0.468705i | 0.847588 | − | 0.530656i | \(-0.178054\pi\) |
−0.0357675 | + | 0.999360i | \(0.511388\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −31.0944 | − | 53.8571i | −0.156253 | − | 0.270639i | 0.777261 | − | 0.629178i | \(-0.216608\pi\) |
−0.933515 | + | 0.358539i | \(0.883275\pi\) | |||||||
\(200\) | −44.8199 | + | 53.4142i | −0.224099 | + | 0.267071i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 30.8352 | + | 174.875i | 0.152649 | + | 0.865718i | ||||
\(203\) | 74.6556 | − | 13.1638i | 0.367762 | − | 0.0648463i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 32.0034 | + | 26.8540i | 0.156114 | + | 0.130995i | ||||
\(206\) | −115.379 | + | 66.6141i | −0.560093 | + | 0.323370i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −24.4170 | + | 42.2914i | −0.117389 | + | 0.203324i | ||||
\(209\) | −71.9179 | − | 197.593i | −0.344105 | − | 0.945420i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.60018 | − | 4.69911i | 0.0265411 | − | 0.0222706i | −0.629421 | − | 0.777065i | \(-0.716708\pi\) |
0.655962 | + | 0.754794i | \(0.272263\pi\) | |||||||
\(212\) | −17.3807 | + | 47.7530i | −0.0819843 | + | 0.225250i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 26.4967 | − | 150.270i | 0.123816 | − | 0.702197i | ||||
\(215\) | 8.59045i | 0.0399556i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 143.364 | 0.660661 | ||||||||
\(218\) | 59.8410 | + | 10.5516i | 0.274500 | + | 0.0484017i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −10.4014 | − | 3.78580i | −0.0472791 | − | 0.0172082i | ||||
\(221\) | 222.133 | + | 264.728i | 1.00513 | + | 1.19786i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −80.8775 | + | 29.4370i | −0.362679 | + | 0.132004i | −0.516931 | − | 0.856027i | \(-0.672926\pi\) |
0.154252 | + | 0.988032i | \(0.450703\pi\) | |||||||
\(224\) | −15.4471 | − | 8.91840i | −0.0689604 | − | 0.0398143i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 7.58788 | + | 13.1426i | 0.0335747 | + | 0.0581531i | ||||
\(227\) | −42.0709 | + | 50.1382i | −0.185335 | + | 0.220873i | −0.850709 | − | 0.525636i | \(-0.823827\pi\) |
0.665375 | + | 0.746509i | \(0.268272\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −57.3799 | − | 325.418i | −0.250567 | − | 1.42104i | −0.807199 | − | 0.590279i | \(-0.799018\pi\) |
0.556632 | − | 0.830759i | \(-0.312093\pi\) | |||||||
\(230\) | −8.26862 | + | 1.45798i | −0.0359505 | + | 0.00633904i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −52.0917 | − | 43.7101i | −0.224533 | − | 0.188406i | ||||
\(233\) | 123.820 | − | 71.4877i | 0.531418 | − | 0.306814i | −0.210176 | − | 0.977664i | \(-0.567404\pi\) |
0.741594 | + | 0.670849i | \(0.234070\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 16.3101 | − | 28.2500i | 0.0694049 | − | 0.120213i | ||||
\(236\) | −19.6109 | − | 53.8806i | −0.0830971 | − | 0.228308i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −96.6929 | + | 81.1350i | −0.406273 | + | 0.340903i | ||||
\(239\) | 103.746 | − | 285.040i | 0.434084 | − | 1.19264i | −0.509200 | − | 0.860649i | \(-0.670058\pi\) |
0.943284 | − | 0.331988i | \(-0.107719\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −54.3108 | + | 308.012i | −0.225356 | + | 1.27806i | 0.636647 | + | 0.771155i | \(0.280321\pi\) |
−0.862003 | + | 0.506903i | \(0.830790\pi\) | |||||||
\(242\) | − | 46.5232i | − | 0.192245i | ||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −226.169 | −0.926924 | ||||||||
\(245\) | 22.6798 | + | 3.99906i | 0.0925707 | + | 0.0163227i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 257.003 | + | 93.5413i | 1.04050 | + | 0.378710i | ||||
\(248\) | −82.6626 | − | 98.5135i | −0.333317 | − | 0.397232i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 38.9064 | − | 14.1608i | 0.155626 | − | 0.0566431i | ||||
\(251\) | −116.446 | − | 67.2298i | −0.463926 | − | 0.267848i | 0.249767 | − | 0.968306i | \(-0.419646\pi\) |
−0.713694 | + | 0.700458i | \(0.752979\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 47.2554 | + | 81.8488i | 0.186780 | + | 0.323513i | ||||
\(254\) | 89.3598 | − | 106.495i | 0.351810 | − | 0.419271i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.77837 | + | 15.7569i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −46.8542 | + | 8.26166i | −0.182312 | + | 0.0321465i | −0.264059 | − | 0.964507i | \(-0.585061\pi\) |
0.0817466 | + | 0.996653i | \(0.473950\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −76.0865 | − | 63.8441i | −0.293770 | − | 0.246502i | ||||
\(260\) | 12.4682 | − | 7.19851i | 0.0479545 | − | 0.0276866i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −96.8939 | + | 167.825i | −0.369824 | + | 0.640554i | ||||
\(263\) | 162.251 | + | 445.781i | 0.616924 | + | 1.69498i | 0.714392 | + | 0.699745i | \(0.246703\pi\) |
−0.0974685 | + | 0.995239i | \(0.531075\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 11.4768 | − | 9.63015i | 0.0433085 | − | 0.0363402i | ||||
\(266\) | −34.1663 | + | 93.8712i | −0.128445 | + | 0.352899i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −17.3740 | + | 98.5329i | −0.0648284 | + | 0.367660i | ||||
\(269\) | − | 455.081i | − | 1.69175i | −0.533380 | − | 0.845876i | \(-0.679078\pi\) | ||
0.533380 | − | 0.845876i | \(-0.320922\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 440.939 | 1.62708 | 0.813541 | − | 0.581508i | \(-0.197537\pi\) | ||||
0.813541 | + | 0.581508i | \(0.197537\pi\) | |||||||
\(272\) | 111.505 | + | 19.6614i | 0.409946 | + | 0.0722845i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 266.035 | + | 96.8287i | 0.970929 | + | 0.353389i | ||||
\(275\) | −148.738 | − | 177.259i | −0.540864 | − | 0.644577i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −70.8393 | + | 25.7834i | −0.255738 | + | 0.0930808i | −0.466708 | − | 0.884412i | \(-0.654560\pi\) |
0.210970 | + | 0.977493i | \(0.432338\pi\) | |||||||
\(278\) | 8.72984 | + | 5.04017i | 0.0314023 | + | 0.0181301i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 2.62928 | + | 4.55405i | 0.00939030 | + | 0.0162645i | ||||
\(281\) | −4.98848 | + | 5.94504i | −0.0177526 | + | 0.0211567i | −0.774848 | − | 0.632148i | \(-0.782173\pi\) |
0.757095 | + | 0.653305i | \(0.226618\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 28.3852 | + | 160.981i | 0.100301 | + | 0.568836i | 0.992993 | + | 0.118169i | \(0.0377026\pi\) |
−0.892692 | + | 0.450667i | \(0.851186\pi\) | |||||||
\(284\) | 17.2806 | − | 3.04704i | 0.0608473 | − | 0.0107290i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −124.144 | − | 104.169i | −0.434071 | − | 0.364229i | ||||
\(287\) | −193.479 | + | 111.705i | −0.674143 | + | 0.389217i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 256.124 | − | 443.620i | 0.886244 | − | 1.53502i | ||||
\(290\) | 6.85672 | + | 18.8387i | 0.0236439 | + | 0.0649610i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −35.9607 | + | 30.1746i | −0.123153 | + | 0.103338i | ||||
\(293\) | −18.4986 | + | 50.8246i | −0.0631353 | + | 0.173463i | −0.967249 | − | 0.253829i | \(-0.918310\pi\) |
0.904114 | + | 0.427292i | \(0.140532\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.93540 | + | 16.6475i | −0.00995051 | + | 0.0564321i | ||||
\(296\) | 89.0956i | 0.300999i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 132.586 | 0.444921 | ||||||||
\(299\) | −121.060 | − | 21.3461i | −0.404882 | − | 0.0713915i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −43.1681 | − | 15.7119i | −0.143416 | − | 0.0521991i | ||||
\(302\) | −183.419 | − | 218.591i | −0.607349 | − | 0.723810i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 84.2046 | − | 30.6480i | 0.276989 | − | 0.100816i | ||||
\(305\) | 57.7451 | + | 33.3391i | 0.189328 | + | 0.109309i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 73.1993 | + | 126.785i | 0.238434 | + | 0.412980i | 0.960265 | − | 0.279089i | \(-0.0900325\pi\) |
−0.721831 | + | 0.692069i | \(0.756699\pi\) | |||||||
\(308\) | 38.0483 | − | 45.3442i | 0.123533 | − | 0.147221i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 6.58359 | + | 37.3374i | 0.0212374 | + | 0.120443i | ||||
\(311\) | −272.335 | + | 48.0200i | −0.875676 | + | 0.154405i | −0.593380 | − | 0.804922i | \(-0.702207\pi\) |
−0.282295 | + | 0.959328i | \(0.591096\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −22.9780 | − | 19.2809i | −0.0734123 | − | 0.0616002i | 0.605343 | − | 0.795965i | \(-0.293036\pi\) |
−0.678755 | + | 0.734364i | \(0.737480\pi\) | |||||||
\(314\) | 89.8939 | − | 51.9003i | 0.286286 | − | 0.165287i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 132.760 | − | 229.946i | 0.420125 | − | 0.727678i | ||||
\(317\) | 91.5339 | + | 251.487i | 0.288750 | + | 0.793335i | 0.996242 | + | 0.0866133i | \(0.0276045\pi\) |
−0.707492 | + | 0.706722i | \(0.750173\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 172.870 | − | 145.055i | 0.541911 | − | 0.454717i | ||||
\(320\) | 1.61333 | − | 4.43258i | 0.00504164 | − | 0.0138518i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 7.79674 | − | 44.2175i | 0.0242135 | − | 0.137321i | ||||
\(323\) | − | 634.123i | − | 1.96323i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 300.968 | 0.926055 | ||||||||
\(326\) | 302.401 | + | 53.3214i | 0.927610 | + | 0.163563i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 188.318 | + | 68.5422i | 0.574141 | + | 0.208970i | ||||
\(329\) | 112.129 | + | 133.630i | 0.340817 | + | 0.406169i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −358.351 | + | 130.429i | −1.08263 | + | 0.394045i | −0.820886 | − | 0.571092i | \(-0.806520\pi\) |
−0.261744 | + | 0.965137i | \(0.584298\pi\) | |||||||
\(332\) | 116.321 | + | 67.1580i | 0.350364 | + | 0.202283i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −152.395 | − | 263.957i | −0.456274 | − | 0.790289i | ||||
\(335\) | 18.9604 | − | 22.5961i | 0.0565982 | − | 0.0674511i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 20.7953 | + | 117.936i | 0.0617071 | + | 0.349958i | 0.999992 | + | 0.00409401i | \(0.00130317\pi\) |
−0.938285 | + | 0.345864i | \(0.887586\pi\) | |||||||
\(338\) | −27.7889 | + | 4.89993i | −0.0822156 | + | 0.0144968i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −25.5710 | − | 21.4566i | −0.0752089 | − | 0.0631078i | ||||
\(341\) | 369.592 | − | 213.384i | 1.08385 | − | 0.625760i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −138.829 | + | 240.459i | −0.404749 | + | 0.701045i | ||||
\(344\) | 14.0939 | + | 38.7228i | 0.0409707 | + | 0.112566i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 68.3024 | − | 57.3125i | 0.197406 | − | 0.165643i | ||||
\(347\) | 85.0851 | − | 233.769i | 0.245202 | − | 0.673687i | −0.754644 | − | 0.656135i | \(-0.772190\pi\) |
0.999846 | − | 0.0175526i | \(-0.00558746\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −55.5583 | + | 315.087i | −0.159193 | + | 0.902827i | 0.795659 | + | 0.605745i | \(0.207125\pi\) |
−0.954852 | + | 0.297082i | \(0.903986\pi\) | |||||||
\(350\) | 109.930i | 0.314085i | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −53.0971 | −0.150844 | ||||||||
\(353\) | 326.236 | + | 57.5243i | 0.924182 | + | 0.162958i | 0.615437 | − | 0.788186i | \(-0.288980\pi\) |
0.308746 | + | 0.951145i | \(0.400091\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.86121 | − | 1.76934i | −0.0136936 | − | 0.00498405i | ||||
\(356\) | −93.5110 | − | 111.442i | −0.262671 | − | 0.313040i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 264.281 | − | 96.1904i | 0.738215 | − | 0.268688i | ||||
\(359\) | −277.930 | − | 160.463i | −0.774178 | − | 0.446972i | 0.0601853 | − | 0.998187i | \(-0.480831\pi\) |
−0.834363 | + | 0.551216i | \(0.814164\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −70.4283 | − | 121.985i | −0.195092 | − | 0.337910i | ||||
\(362\) | 64.8126 | − | 77.2407i | 0.179040 | − | 0.213372i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 13.3692 | + | 75.8202i | 0.0367284 | + | 0.208297i | ||||
\(365\) | 13.6294 | − | 2.40323i | 0.0373408 | − | 0.00658419i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −558.217 | − | 468.400i | −1.52103 | − | 1.27629i | −0.837617 | − | 0.546258i | \(-0.816052\pi\) |
−0.683410 | − | 0.730035i | \(-0.739504\pi\) | |||||||
\(368\) | −34.8800 | + | 20.1380i | −0.0947826 | + | 0.0547228i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 13.1334 | − | 22.7477i | 0.0354957 | − | 0.0614803i | ||||
\(371\) | 27.4018 | + | 75.2857i | 0.0738592 | + | 0.202927i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −262.562 | + | 220.316i | −0.703920 | + | 0.590659i | −0.922886 | − | 0.385073i | \(-0.874176\pi\) |
0.218966 | + | 0.975733i | \(0.429732\pi\) | |||||||
\(374\) | −128.513 | + | 353.086i | −0.343617 | + | 0.944079i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 27.1721 | − | 154.100i | 0.0722661 | − | 0.409841i | ||||
\(377\) | 293.516i | 0.778556i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −607.166 | −1.60202 | −0.801011 | − | 0.598650i | \(-0.795704\pi\) | ||||
−0.801011 | + | 0.598650i | \(0.795704\pi\) | |||||||
\(380\) | −26.0167 | − | 4.58744i | −0.0684649 | − | 0.0120722i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −132.479 | − | 48.2183i | −0.346803 | − | 0.126226i | ||||
\(383\) | 97.3839 | + | 116.058i | 0.254266 | + | 0.303023i | 0.878045 | − | 0.478578i | \(-0.158848\pi\) |
−0.623779 | + | 0.781601i | \(0.714403\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −16.3985 | + | 5.96856i | −0.0425935 | + | 0.0155028i | ||||
\(386\) | 232.973 | + | 134.507i | 0.603556 | + | 0.348463i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 157.196 | + | 272.271i | 0.405143 | + | 0.701729i | ||||
\(389\) | −389.211 | + | 463.844i | −1.00054 | + | 1.19240i | −0.0192633 | + | 0.999814i | \(0.506132\pi\) |
−0.981280 | + | 0.192587i | \(0.938312\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 49.4925 | + | 280.686i | 0.126579 | + | 0.717867i | ||||
\(392\) | 108.794 | − | 19.1833i | 0.277535 | − | 0.0489369i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −200.062 | − | 167.872i | −0.507771 | − | 0.426071i | ||||
\(395\) | −67.7918 | + | 39.1396i | −0.171625 | + | 0.0990876i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 301.433 | − | 522.097i | 0.759277 | − | 1.31511i | −0.183942 | − | 0.982937i | \(-0.558886\pi\) |
0.943220 | − | 0.332170i | \(-0.107781\pi\) | |||||||
\(398\) | 30.0801 | + | 82.6444i | 0.0755782 | + | 0.207649i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 75.5391 | − | 63.3849i | 0.188848 | − | 0.158462i | ||||
\(401\) | −151.840 | + | 417.177i | −0.378653 | + | 1.04034i | 0.593262 | + | 0.805010i | \(0.297840\pi\) |
−0.971915 | + | 0.235332i | \(0.924382\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −96.3893 | + | 546.651i | −0.239179 | + | 1.35645i | ||||
\(404\) | − | 251.126i | − | 0.621599i | ||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −107.208 | −0.264058 | ||||||||
\(407\) | −291.178 | − | 51.3425i | −0.715425 | − | 0.126149i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −388.673 | − | 141.465i | −0.950300 | − | 0.345881i | −0.180075 | − | 0.983653i | \(-0.557634\pi\) |
−0.770225 | + | 0.637772i | \(0.779856\pi\) | |||||||
\(410\) | −37.9773 | − | 45.2596i | −0.0926276 | − | 0.110389i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 177.051 | − | 64.4411i | 0.429734 | − | 0.156410i | ||||
\(413\) | −78.2869 | − | 45.1989i | −0.189557 | − | 0.109441i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −19.7992 | − | 34.2932i | −0.0477090 | − | 0.0826343i | ||||
\(416\) | 44.3920 | − | 52.9043i | 0.106711 | − | 0.127174i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 51.6381 | + | 292.854i | 0.123536 | + | 0.700609i | ||||
\(419\) | −606.886 | + | 107.010i | −1.44842 | + | 0.255395i | −0.841881 | − | 0.539662i | \(-0.818552\pi\) |
−0.606534 | + | 0.795057i | \(0.707441\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.88941 | + | 2.42451i | 0.00686322 | + | 0.00575892i | 0.646213 | − | 0.763157i | \(-0.276352\pi\) |
−0.639350 | + | 0.768916i | \(0.720796\pi\) | |||||||
\(422\) | −8.95351 | + | 5.16931i | −0.0212169 | + | 0.0122496i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 35.9335 | − | 62.2387i | 0.0847489 | − | 0.146789i | ||||
\(425\) | −238.668 | − | 655.734i | −0.561571 | − | 1.54290i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −273.149 | + | 229.199i | −0.639693 | + | 0.536766i | ||||
\(428\) | −73.8054 | + | 202.779i | −0.172442 | + | 0.473782i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.10961 | − | 11.9642i | 0.00490606 | − | 0.0278237i | ||||
\(431\) | 658.872i | 1.52871i | 0.644798 | + | 0.764353i | \(0.276941\pi\) | ||||
−0.644798 | + | 0.764353i | \(0.723059\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 170.484 | 0.393728 | 0.196864 | − | 0.980431i | \(-0.436924\pi\) | ||||
0.196864 | + | 0.980431i | \(0.436924\pi\) | |||||||
\(434\) | −199.666 | − | 35.2066i | −0.460061 | − | 0.0811212i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −80.7510 | − | 29.3910i | −0.185209 | − | 0.0674105i | ||||
\(437\) | 144.992 | + | 172.794i | 0.331789 | + | 0.395410i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 805.882 | − | 293.317i | 1.83572 | − | 0.668148i | 0.844566 | − | 0.535452i | \(-0.179859\pi\) |
0.991157 | − | 0.132697i | \(-0.0423636\pi\) | |||||||
\(440\) | 13.5566 | + | 7.82692i | 0.0308105 | + | 0.0177885i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −244.360 | − | 423.244i | −0.552851 | − | 0.957566i | ||||
\(443\) | 160.598 | − | 191.394i | 0.362524 | − | 0.432040i | −0.553693 | − | 0.832721i | \(-0.686782\pi\) |
0.916218 | + | 0.400681i | \(0.131226\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.44759 | + | 42.2374i | 0.0167362 | + | 0.0949155i | ||||
\(446\) | 119.869 | − | 21.1362i | 0.268765 | − | 0.0473906i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 19.3235 | + | 16.2143i | 0.0431328 | + | 0.0361927i | ||||
\(449\) | 208.642 | − | 120.460i | 0.464682 | − | 0.268284i | −0.249329 | − | 0.968419i | \(-0.580210\pi\) |
0.714011 | + | 0.700135i | \(0.246877\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −332.527 | + | 575.954i | −0.737311 | + | 1.27706i | ||||
\(452\) | −7.34036 | − | 20.1675i | −0.0162397 | − | 0.0446183i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 70.9061 | − | 59.4973i | 0.156181 | − | 0.131051i | ||||
\(455\) | 7.76311 | − | 21.3290i | 0.0170618 | − | 0.0468769i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −33.0420 | + | 187.391i | −0.0723020 | + | 0.410045i | 0.927079 | + | 0.374866i | \(0.122311\pi\) |
−0.999381 | + | 0.0351791i | \(0.988800\pi\) | |||||||
\(458\) | 467.310i | 1.02033i | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 11.8740 | 0.0258130 | ||||||||
\(461\) | −282.999 | − | 49.9003i | −0.613880 | − | 0.108244i | −0.141941 | − | 0.989875i | \(-0.545334\pi\) |
−0.471938 | + | 0.881632i | \(0.656446\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 15.8899 | + | 5.78346i | 0.0343195 | + | 0.0124913i | 0.359123 | − | 0.933290i | \(-0.383076\pi\) |
−0.324803 | + | 0.945782i | \(0.605298\pi\) | |||||||
\(464\) | 61.8154 | + | 73.6687i | 0.133223 | + | 0.158769i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −190.004 | + | 69.1557i | −0.407734 | + | 0.148403i | ||||
\(467\) | −590.760 | − | 341.075i | −1.26501 | − | 0.730354i | −0.290971 | − | 0.956732i | \(-0.593978\pi\) |
−0.974040 | + | 0.226378i | \(0.927312\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 78.8699 | + | 136.607i | 0.168166 | + | 0.291272i | ||||
\(470\) | −29.6531 | + | 35.3392i | −0.0630917 | + | 0.0751898i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 14.0809 | + | 79.8570i | 0.0298325 | + | 0.169189i | ||||
\(473\) | −134.674 | + | 23.7466i | −0.284722 | + | 0.0502042i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −423.060 | − | 354.989i | −0.890652 | − | 0.747346i | ||||
\(476\) | 154.592 | − | 89.2536i | 0.324772 | − | 0.187507i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −214.489 | + | 371.506i | −0.448722 | + | 0.777209i | ||||
\(479\) | 191.036 | + | 524.867i | 0.398822 | + | 1.09576i | 0.962859 | + | 0.270005i | \(0.0870255\pi\) |
−0.564037 | + | 0.825750i | \(0.690752\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 294.596 | − | 247.196i | 0.612466 | − | 0.513920i | ||||
\(482\) | 151.280 | − | 415.640i | 0.313860 | − | 0.862323i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −11.4250 | + | 64.7942i | −0.0236053 | + | 0.133872i | ||||
\(485\) | − | 92.6875i | − | 0.191108i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −115.842 | −0.237869 | −0.118935 | − | 0.992902i | \(-0.537948\pi\) | ||||
−0.118935 | + | 0.992902i | \(0.537948\pi\) | |||||||
\(488\) | 314.992 | + | 55.5417i | 0.645476 | + | 0.113815i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −30.6047 | − | 11.1392i | −0.0624587 | − | 0.0227331i | ||||
\(491\) | −79.5701 | − | 94.8280i | −0.162057 | − | 0.193132i | 0.678905 | − | 0.734226i | \(-0.262455\pi\) |
−0.840962 | + | 0.541094i | \(0.818010\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 639.497 | − | 232.758i | 1.29715 | − | 0.472126i | ||||
\(494\) | −334.963 | − | 193.391i | −0.678063 | − | 0.391480i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 90.9341 | + | 157.502i | 0.183335 | + | 0.317545i | ||||
\(497\) | 17.7823 | − | 21.1921i | 0.0357793 | − | 0.0426401i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −65.4282 | − | 371.062i | −0.131119 | − | 0.743610i | −0.977484 | − | 0.211008i | \(-0.932325\pi\) |
0.846366 | − | 0.532602i | \(-0.178786\pi\) | |||||||
\(500\) | −57.6636 | + | 10.1676i | −0.115327 | + | 0.0203353i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 145.667 | + | 122.229i | 0.290173 | + | 0.243484i | ||||
\(503\) | 363.520 | − | 209.878i | 0.722704 | − | 0.417253i | −0.0930432 | − | 0.995662i | \(-0.529659\pi\) |
0.815747 | + | 0.578409i | \(0.196326\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −37.0179 | + | 64.1169i | −0.0733028 | + | 0.126964i | ||||
\(506\) | −45.7139 | − | 125.598i | −0.0903436 | − | 0.248217i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −150.606 | + | 126.374i | −0.296469 | + | 0.248767i | ||||
\(509\) | 41.8155 | − | 114.887i | 0.0821523 | − | 0.225712i | −0.891815 | − | 0.452400i | \(-0.850568\pi\) |
0.973967 | + | 0.226689i | \(0.0727900\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −12.8516 | + | 72.8849i | −0.0251498 | + | 0.142632i | ||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 67.2841 | 0.130903 | ||||||||
\(515\) | −54.7033 | − | 9.64566i | −0.106220 | − | 0.0187294i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 487.965 | + | 177.605i | 0.943840 | + | 0.343530i | ||||
\(518\) | 90.2892 | + | 107.602i | 0.174303 | + | 0.207727i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −19.1326 | + | 6.96368i | −0.0367934 | + | 0.0133917i | ||||
\(521\) | 891.453 | + | 514.680i | 1.71104 | + | 0.987870i | 0.933161 | + | 0.359458i | \(0.117038\pi\) |
0.777880 | + | 0.628412i | \(0.216295\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −131.269 | − | 227.364i | −0.250992 | − | 0.434731i | 0.712807 | − | 0.701360i | \(-0.247423\pi\) |
−0.963799 | + | 0.266629i | \(0.914090\pi\) | |||||||
\(524\) | 176.161 | − | 209.940i | 0.336184 | − | 0.400649i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −116.499 | − | 660.697i | −0.221480 | − | 1.25608i | ||||
\(527\) | 1267.45 | − | 223.486i | 2.40503 | − | 0.424072i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 327.572 | + | 274.866i | 0.619230 | + | 0.519595i | ||||
\(530\) | −18.3489 | + | 10.5938i | −0.0346207 | + | 0.0199882i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 70.6369 | − | 122.347i | 0.132776 | − | 0.229975i | ||||
\(533\) | −295.852 | − | 812.848i | −0.555070 | − | 1.52504i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 48.7350 | − | 40.8935i | 0.0910934 | − | 0.0764364i | ||||
\(536\) | 48.3945 | − | 132.963i | 0.0902883 | − | 0.248065i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −111.757 | + | 633.804i | −0.207726 | + | 1.17808i | ||||
\(539\) | 366.609i | 0.680165i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 14.7044 | 0.0271800 | 0.0135900 | − | 0.999908i | \(-0.495674\pi\) | ||||
0.0135900 | + | 0.999908i | \(0.495674\pi\) | |||||||
\(542\) | −614.109 | − | 108.284i | −1.13304 | − | 0.199786i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −150.468 | − | 54.7659i | −0.276596 | − | 0.100673i | ||||
\(545\) | 16.2847 | + | 19.4074i | 0.0298802 | + | 0.0356098i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 353.812 | − | 128.777i | 0.646823 | − | 0.235424i | 0.00228579 | − | 0.999997i | \(-0.499272\pi\) |
0.644537 | + | 0.764573i | \(0.277050\pi\) | |||||||
\(548\) | −346.735 | − | 200.188i | −0.632729 | − | 0.365306i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 163.621 | + | 283.400i | 0.297492 | + | 0.515272i | ||||
\(551\) | 346.200 | − | 412.585i | 0.628311 | − | 0.748792i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −72.6906 | − | 412.249i | −0.131448 | − | 0.745477i | ||||
\(554\) | 104.992 | − | 18.5129i | 0.189516 | − | 0.0334167i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −10.9205 | − | 9.16343i | −0.0196413 | − | 0.0164810i | ||||
\(557\) | −339.531 | + | 196.028i | −0.609571 | + | 0.351936i | −0.772798 | − | 0.634653i | \(-0.781143\pi\) |
0.163226 | + | 0.986589i | \(0.447810\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 88.9339 | − | 154.038i | 0.159095 | − | 0.275560i | ||||
\(560\) | −2.54351 | − | 6.98825i | −0.00454199 | − | 0.0124790i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.40755 | − | 7.05477i | 0.0149601 | − | 0.0125530i | ||||
\(563\) | 282.488 | − | 776.129i | 0.501754 | − | 1.37856i | −0.387806 | − | 0.921741i | \(-0.626767\pi\) |
0.889560 | − | 0.456818i | \(-0.151011\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.09872 | + | 6.23114i | −0.00194463 | + | 0.0110286i | ||||
\(566\) | − | 231.173i | − | 0.408433i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −24.8155 | −0.0436893 | ||||||||
\(569\) | 820.292 | + | 144.640i | 1.44164 | + | 0.254200i | 0.839138 | − | 0.543919i | \(-0.183060\pi\) |
0.602501 | + | 0.798118i | \(0.294171\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −171.024 | − | 62.2478i | −0.299517 | − | 0.109015i | 0.187890 | − | 0.982190i | \(-0.439835\pi\) |
−0.487407 | + | 0.873175i | \(0.662057\pi\) | |||||||
\(572\) | 147.318 | + | 175.566i | 0.257548 | + | 0.306934i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 296.896 | − | 108.061i | 0.517240 | − | 0.188260i | ||||
\(575\) | 214.968 | + | 124.112i | 0.373858 | + | 0.215847i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −25.3860 | − | 43.9699i | −0.0439966 | − | 0.0762043i | 0.843189 | − | 0.537618i | \(-0.180676\pi\) |
−0.887185 | + | 0.461414i | \(0.847342\pi\) | |||||||
\(578\) | −465.654 | + | 554.945i | −0.805630 | + | 0.960112i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −4.92323 | − | 27.9210i | −0.00848832 | − | 0.0481397i | ||||
\(581\) | 208.541 | − | 36.7713i | 0.358934 | − | 0.0632898i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 182.698 | + | 153.302i | 0.313376 | + | 0.262954i | ||||
\(584\) | 57.4936 | − | 33.1940i | 0.0984480 | − | 0.0568390i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 38.2449 | − | 66.2421i | 0.0652643 | − | 0.113041i | ||||
\(587\) | −29.4058 | − | 80.7919i | −0.0500951 | − | 0.137635i | 0.912122 | − | 0.409919i | \(-0.134443\pi\) |
−0.962217 | + | 0.272284i | \(0.912221\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 780.262 | − | 654.718i | 1.32472 | − | 1.11158i | ||||
\(590\) | 8.17643 | − | 22.4646i | 0.0138584 | − | 0.0380755i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 21.8797 | − | 124.086i | 0.0369590 | − | 0.209605i | ||||
\(593\) | 333.051i | 0.561638i | 0.959761 | + | 0.280819i | \(0.0906060\pi\) | ||||
−0.959761 | + | 0.280819i | \(0.909394\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −52.6267 | −0.0884482 | ||||||||
\(596\) | −184.657 | − | 32.5600i | −0.309827 | − | 0.0546308i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 163.361 | + | 59.4586i | 0.273179 | + | 0.0994290i | ||||
\(599\) | −376.276 | − | 448.428i | −0.628173 | − | 0.748628i | 0.354279 | − | 0.935140i | \(-0.384726\pi\) |
−0.982453 | + | 0.186512i | \(0.940282\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 684.489 | − | 249.134i | 1.13892 | − | 0.414532i | 0.297395 | − | 0.954755i | \(-0.403882\pi\) |
0.841522 | + | 0.540223i | \(0.181660\pi\) | |||||||
\(602\) | 56.2630 | + | 32.4835i | 0.0934602 | + | 0.0539593i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 201.773 | + | 349.481i | 0.334061 | + | 0.578611i | ||||
\(605\) | 12.4682 | − | 14.8590i | 0.0206086 | − | 0.0245603i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 50.2841 | + | 285.175i | 0.0828404 | + | 0.469811i | 0.997802 | + | 0.0662697i | \(0.0211098\pi\) |
−0.914961 | + | 0.403541i | \(0.867779\pi\) | |||||||
\(608\) | −124.800 | + | 22.0057i | −0.205264 | + | 0.0361936i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −72.2359 | − | 60.6131i | −0.118420 | − | 0.0993658i | ||||
\(611\) | −584.925 | + | 337.706i | −0.957323 | + | 0.552711i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −431.468 | + | 747.325i | −0.703864 | + | 1.21913i | 0.263236 | + | 0.964731i | \(0.415210\pi\) |
−0.967100 | + | 0.254396i | \(0.918123\pi\) | |||||||
\(614\) | −70.8115 | − | 194.553i | −0.115328 | − | 0.316862i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −64.1263 | + | 53.8084i | −0.104101 | + | 0.0873513i | ||||
\(617\) | 37.3588 | − | 102.642i | 0.0605491 | − | 0.166357i | −0.905729 | − | 0.423856i | \(-0.860676\pi\) |
0.966279 | + | 0.257499i | \(0.0828984\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 16.5748 | − | 94.0001i | 0.0267767 | − | 0.151858i | −0.968488 | − | 0.249060i | \(-0.919878\pi\) |
0.995265 | + | 0.0972023i | \(0.0309894\pi\) | |||||||
\(620\) | − | 53.6176i | − | 0.0864800i | ||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 391.081 | 0.628748 | ||||||||
\(623\) | −225.870 | − | 39.8270i | −0.362552 | − | 0.0639277i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −562.919 | − | 204.886i | −0.900671 | − | 0.327817i | ||||
\(626\) | 27.2673 | + | 32.4959i | 0.0435579 | + | 0.0519103i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −137.943 | + | 50.2072i | −0.219655 | + | 0.0799478i | ||||
\(629\) | −772.193 | − | 445.826i | −1.22765 | − | 0.708785i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 264.888 | + | 458.800i | 0.419791 | + | 0.727100i | 0.995918 | − | 0.0902603i | \(-0.0287699\pi\) |
−0.576127 | + | 0.817360i | \(0.695437\pi\) | |||||||
\(632\) | −241.367 | + | 287.650i | −0.381910 | + | 0.455143i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −65.7227 | − | 372.732i | −0.103664 | − | 0.587905i | ||||
\(635\) | 57.0810 | − | 10.0649i | 0.0898914 | − | 0.0158503i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −365.278 | − | 306.504i | −0.573435 | − | 0.481169i | ||||
\(638\) | −276.382 | + | 159.569i | −0.433201 | + | 0.250109i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −3.33546 | + | 5.77718i | −0.00521165 | + | 0.00902685i | ||||
\(641\) | 90.7979 | + | 249.465i | 0.141650 | + | 0.389181i | 0.990149 | − | 0.140016i | \(-0.0447154\pi\) |
−0.848499 | + | 0.529197i | \(0.822493\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 111.106 | − | 93.2293i | 0.172794 | − | 0.144991i | −0.552290 | − | 0.833652i | \(-0.686246\pi\) |
0.725083 | + | 0.688661i | \(0.241801\pi\) | |||||||
\(644\) | −21.7175 | + | 59.6683i | −0.0337228 | + | 0.0926526i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −155.725 | + | 883.161i | −0.241061 | + | 1.36712i | ||||
\(647\) | 578.671i | 0.894391i | 0.894436 | + | 0.447196i | \(0.147577\pi\) | ||||
−0.894436 | + | 0.447196i | \(0.852423\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −269.099 | −0.414636 | ||||||||
\(650\) | −419.166 | − | 73.9103i | −0.644871 | − | 0.113708i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −408.068 | − | 148.525i | −0.625871 | − | 0.227798i | ||||
\(653\) | 417.061 | + | 497.034i | 0.638684 | + | 0.761154i | 0.984162 | − | 0.177273i | \(-0.0567275\pi\) |
−0.345477 | + | 0.938427i | \(0.612283\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −75.9237 | + | 27.6340i | −0.115914 | + | 0.0421893i | ||||
\(656\) | −245.444 | − | 141.707i | −0.374152 | − | 0.216017i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −123.349 | − | 213.646i | −0.187460 | − | 0.324690i | ||||
\(659\) | 346.075 | − | 412.436i | 0.525151 | − | 0.625851i | −0.436639 | − | 0.899637i | \(-0.643831\pi\) |
0.961791 | + | 0.273785i | \(0.0882758\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −66.4965 | − | 377.120i | −0.100600 | − | 0.570530i | −0.992887 | − | 0.119061i | \(-0.962011\pi\) |
0.892287 | − | 0.451468i | \(-0.149100\pi\) | |||||||
\(662\) | 531.115 | − | 93.6500i | 0.802289 | − | 0.141465i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −145.511 | − | 122.098i | −0.219143 | − | 0.183883i | ||||
\(665\) | −36.0697 | + | 20.8249i | −0.0542402 | + | 0.0313156i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −121.039 | + | 209.646i | −0.181468 | + | 0.314311i | ||||
\(668\) | 147.424 | + | 405.044i | 0.220695 | + | 0.606354i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −31.9558 | + | 26.8141i | −0.0476952 | + | 0.0400210i | ||||
\(671\) | −363.037 | + | 997.436i | −0.541039 | + | 1.48649i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 28.0045 | − | 158.821i | 0.0416114 | − | 0.235990i | −0.956908 | − | 0.290392i | \(-0.906214\pi\) |
0.998519 | + | 0.0544023i | \(0.0173253\pi\) | |||||||
\(674\) | − | 169.360i | − | 0.251275i | ||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 39.9056 | 0.0590320 | ||||||||
\(677\) | −126.078 | − | 22.2310i | −0.186231 | − | 0.0328375i | 0.0797548 | − | 0.996815i | \(-0.474586\pi\) |
−0.265986 | + | 0.963977i | \(0.585697\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 465.766 | + | 169.525i | 0.685959 | + | 0.249669i | ||||
\(680\) | 30.3443 | + | 36.1629i | 0.0446239 | + | 0.0531807i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −567.144 | + | 206.423i | −0.831589 | + | 0.302674i | ||||
\(683\) | 410.786 | + | 237.168i | 0.601444 | + | 0.347244i | 0.769609 | − | 0.638515i | \(-0.220451\pi\) |
−0.168165 | + | 0.985759i | \(0.553784\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 59.0185 | + | 102.223i | 0.0861583 | + | 0.149231i | ||||
\(686\) | 252.402 | − | 300.800i | 0.367932 | − | 0.438485i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −10.1197 | − | 57.3914i | −0.0147088 | − | 0.0834178i | ||||
\(689\) | −305.491 | + | 53.8663i | −0.443383 | + | 0.0781804i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −218.877 | − | 183.660i | −0.316754 | − | 0.265788i | 0.470523 | − | 0.882388i | \(-0.344065\pi\) |
−0.787277 | + | 0.616600i | \(0.788510\pi\) | |||||||
\(692\) | −109.201 | + | 63.0474i | −0.157805 | + | 0.0911089i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −175.909 | + | 304.683i | −0.253471 | + | 0.439024i | ||||
\(695\) | 1.43745 | + | 3.94936i | 0.00206827 | + | 0.00568253i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1536.38 | + | 1289.18i | −2.20428 | + | 1.84961i | ||||
\(698\) | 154.755 | − | 425.186i | 0.221712 | − | 0.609149i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 26.9960 | − | 153.102i | 0.0385658 | − | 0.218717i | ||||
\(701\) | 320.086i | 0.456613i | 0.973589 | + | 0.228307i | \(0.0733189\pi\) | ||||
−0.973589 | + | 0.228307i | \(0.926681\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −705.669 | −1.00380 | ||||||||
\(704\) | 73.9498 | + | 13.0393i | 0.105042 | + | 0.0185218i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −440.232 | − | 160.231i | −0.623558 | − | 0.226957i | ||||
\(707\) | −254.490 | − | 303.289i | −0.359958 | − | 0.428981i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −796.794 | + | 290.009i | −1.12383 | + | 0.409040i | −0.836048 | − | 0.548657i | \(-0.815139\pi\) |
−0.287780 | + | 0.957697i | \(0.592917\pi\) | |||||||
\(710\) | 6.33584 | + | 3.65800i | 0.00892372 | + | 0.00515211i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 102.868 | + | 178.173i | 0.144478 | + | 0.250242i | ||||
\(713\) | −294.273 | + | 350.701i | −0.412725 | + | 0.491866i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −11.7330 | − | 66.5410i | −0.0164098 | − | 0.0930644i | ||||
\(716\) | −391.694 | + | 69.0662i | −0.547058 | + | 0.0964611i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 347.675 | + | 291.734i | 0.484227 | + | 0.406315i | ||||
\(719\) | −143.869 | + | 83.0628i | −0.200096 | + | 0.115525i | −0.596700 | − | 0.802464i | \(-0.703522\pi\) |
0.396604 | + | 0.917990i | \(0.370189\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 148.523 | − | 257.249i | 0.205996 | − | 0.356795i | ||||
\(722\) | 68.1308 | + | 187.188i | 0.0943640 | + | 0.259263i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −109.235 | + | 91.6589i | −0.150877 | + | 0.126601i | ||||
\(725\) | 202.712 | − | 556.946i | 0.279602 | − | 0.768201i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 136.863 | − | 776.190i | 0.188258 | − | 1.06766i | −0.733440 | − | 0.679754i | \(-0.762087\pi\) |
0.921698 | − | 0.387908i | \(-0.126802\pi\) | |||||||
\(728\) | − | 108.880i | − | 0.149561i | ||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −19.5722 | −0.0268112 | ||||||||
\(731\) | −406.135 | − | 71.6126i | −0.555589 | − | 0.0979653i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 650.225 | + | 236.663i | 0.887074 | + | 0.322869i | 0.745061 | − | 0.666996i | \(-0.232420\pi\) |
0.142013 | + | 0.989865i | \(0.454643\pi\) | |||||||
\(734\) | 662.417 | + | 789.438i | 0.902475 | + | 1.07553i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 53.5238 | − | 19.4811i | 0.0727225 | − | 0.0264688i | ||||
\(737\) | 406.655 | + | 234.782i | 0.551770 | + | 0.318565i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −117.695 | − | 203.854i | −0.159262 | − | 0.275851i | 0.775340 | − | 0.631543i | \(-0.217578\pi\) |
−0.934603 | + | 0.355693i | \(0.884245\pi\) | |||||||
\(740\) | −23.8775 | + | 28.4561i | −0.0322669 | + | 0.0384542i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −19.6749 | − | 111.582i | −0.0265160 | − | 0.150380i | ||||
\(743\) | −600.536 | + | 105.891i | −0.808259 | + | 0.142518i | −0.562483 | − | 0.826809i | \(-0.690154\pi\) |
−0.245776 | + | 0.969327i | \(0.579043\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 42.3466 | + | 35.5330i | 0.0568411 | + | 0.0476953i | ||||
\(746\) | 419.782 | − | 242.361i | 0.562711 | − | 0.324881i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 265.692 | − | 460.193i | 0.355204 | − | 0.615231i | ||||
\(749\) | 116.359 | + | 319.694i | 0.155352 | + | 0.426827i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 163.414 | − | 137.121i | 0.217596 | − | 0.182585i | −0.527474 | − | 0.849571i | \(-0.676861\pi\) |
0.745070 | + | 0.666987i | \(0.232416\pi\) | |||||||
\(752\) | −75.6866 | + | 207.947i | −0.100647 | + | 0.276526i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 72.0803 | − | 408.787i | 0.0955972 | − | 0.542158i | ||||
\(755\) | − | 118.972i | − | 0.157578i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −212.260 | −0.280397 | −0.140198 | − | 0.990123i | \(-0.544774\pi\) | ||||
−0.140198 | + | 0.990123i | \(0.544774\pi\) | |||||||
\(758\) | 845.618 | + | 149.105i | 1.11559 | + | 0.196709i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 35.1076 | + | 12.7781i | 0.0461942 | + | 0.0168133i | ||||
\(761\) | −934.612 | − | 1113.83i | −1.22814 | − | 1.46364i | −0.840488 | − | 0.541830i | \(-0.817732\pi\) |
−0.387649 | − | 0.921807i | \(-0.626713\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −127.309 | + | 46.3368i | −0.166853 | + | 0.0607297i | ||||
\(764\) | 172.666 | + | 99.6886i | 0.226002 | + | 0.130482i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −107.128 | − | 185.552i | −0.139854 | − | 0.242235i | ||||
\(767\) | 224.981 | − | 268.122i | 0.293326 | − | 0.349572i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 150.826 | + | 855.378i | 0.196133 | + | 1.11233i | 0.910796 | + | 0.412856i | \(0.135469\pi\) |
−0.714663 | + | 0.699469i | \(0.753420\pi\) | |||||||
\(770\) | 24.3044 | − | 4.28552i | 0.0315641 | − | 0.00556561i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −291.436 | − | 244.544i | −0.377508 | − | 0.316767i | ||||
\(773\) | 14.6924 | − | 8.48268i | 0.0190070 | − | 0.0109737i | −0.490466 | − | 0.871460i | \(-0.663174\pi\) |
0.509473 | + | 0.860486i | \(0.329840\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 560.435 | − | 970.701i | 0.723141 | − | 1.25252i | ||||
\(776\) | −152.068 | − | 417.803i | −0.195964 | − | 0.538406i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 655.974 | − | 550.428i | 0.843155 | − | 0.707491i | ||||
\(779\) | −542.879 | + | 1491.55i | −0.696892 | + | 1.91469i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 14.3003 | − | 81.1008i | 0.0183102 | − | 0.103842i | ||||
\(782\) | − | 403.074i | − | 0.515440i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −156.231 | −0.199274 | ||||||||
\(785\) | 42.6203 | + | 7.51511i | 0.0542934 | + | 0.00957339i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 382.780 | + | 139.321i | 0.486379 | + | 0.177027i | 0.573557 | − | 0.819165i | \(-0.305563\pi\) |
−0.0871788 | + | 0.996193i | \(0.527785\pi\) | |||||||
\(788\) | 237.407 | + | 282.930i | 0.301277 | + | 0.359048i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 104.027 | − | 37.8628i | 0.131680 | − | 0.0479276i | ||||
\(791\) | −29.3027 | − | 16.9179i | −0.0370452 | − | 0.0213880i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −690.296 | − | 1195.63i | −0.870487 | − | 1.50773i | ||||
\(794\) | −548.029 | + | 653.115i | −0.690213 | + | 0.822563i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −21.5980 | − | 122.488i | −0.0271331 | − | 0.153880i | ||||
\(797\) | −114.221 | + | 20.1403i | −0.143314 | + | 0.0252702i | −0.244845 | − | 0.969562i | \(-0.578737\pi\) |
0.101531 | + | 0.994832i | \(0.467626\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1199.62 | + | 1006.60i | 1.50141 | + | 1.25983i | ||||
\(800\) | −120.771 | + | 69.7273i | −0.150964 | + | 0.0871592i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 313.920 | − | 543.726i | 0.391422 | − | 0.677963i | ||||
\(803\) | 75.3514 | + | 207.026i | 0.0938374 | + | 0.257816i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 14.3404 | − | 12.0331i | 0.0178142 | − | 0.0149479i | ||||
\(806\) | 268.488 | − | 737.666i | 0.333112 | − | 0.915218i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −61.6704 | + | 349.750i | −0.0763247 | + | 0.432859i | ||||
\(809\) | − | 1246.51i | − | 1.54080i | −0.637560 | − | 0.770401i | \(-0.720056\pi\) | ||
0.637560 | − | 0.770401i | \(-0.279944\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 593.707 | 0.732067 | 0.366034 | − | 0.930602i | \(-0.380715\pi\) | ||||
0.366034 | + | 0.930602i | \(0.380715\pi\) | |||||||
\(812\) | 149.311 | + | 26.3276i | 0.183881 | + | 0.0324232i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 392.923 | + | 143.012i | 0.482707 | + | 0.175691i | ||||
\(815\) | 82.2933 | + | 98.0734i | 0.100973 | + | 0.120335i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −306.698 | + | 111.629i | −0.375396 | + | 0.136633i | ||||
\(818\) | 506.575 | + | 292.471i | 0.619285 | + | 0.357544i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 41.7774 | + | 72.3607i | 0.0509481 | + | 0.0882447i | ||||
\(821\) | −291.743 | + | 347.685i | −0.355350 | + | 0.423490i | −0.913874 | − | 0.405999i | \(-0.866924\pi\) |
0.558523 | + | 0.829489i | \(0.311368\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 25.9808 | + | 147.345i | 0.0315685 | + | 0.179034i | 0.996515 | − | 0.0834125i | \(-0.0265819\pi\) |
−0.964947 | + | 0.262446i | \(0.915471\pi\) | |||||||
\(824\) | −262.408 | + | 46.2697i | −0.318457 | + | 0.0561525i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 97.9326 | + | 82.1752i | 0.118562 | + | 0.0994857i | ||||
\(827\) | 858.941 | − | 495.910i | 1.03862 | − | 0.599649i | 0.119180 | − | 0.992873i | \(-0.461973\pi\) |
0.919443 | + | 0.393223i | \(0.128640\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −554.523 | + | 960.463i | −0.668906 | + | 1.15858i | 0.309304 | + | 0.950963i | \(0.399904\pi\) |
−0.978210 | + | 0.207617i | \(0.933429\pi\) | |||||||
\(830\) | 19.1533 | + | 52.6234i | 0.0230763 | + | 0.0634017i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −74.8180 | + | 62.7797i | −0.0899254 | + | 0.0754564i | ||||
\(833\) | −378.131 | + | 1038.91i | −0.453939 | + | 1.24719i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 22.0667 | − | 125.147i | 0.0264272 | − | 0.149876i | ||||
\(836\) | − | 420.548i | − | 0.503048i | ||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 871.507 | 1.03998 | ||||||||
\(839\) | 717.074 | + | 126.440i | 0.854677 | + | 0.150703i | 0.583786 | − | 0.811907i | \(-0.301571\pi\) |
0.270891 | + | 0.962610i | \(0.412682\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −247.126 | − | 89.9465i | −0.293848 | − | 0.106952i | ||||
\(842\) | −3.42877 | − | 4.08625i | −0.00407217 | − | 0.00485303i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 13.7393 | − | 5.00069i | 0.0162788 | − | 0.00592498i | ||||
\(845\) | −10.1886 | − | 5.88240i | −0.0120575 | − | 0.00696142i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 51.8641 | + | 89.8313i | 0.0612327 | + | 0.106058i | ||||
\(848\) | −65.3300 | + | 77.8572i | −0.0770401 | + | 0.0918128i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 171.367 | + | 971.870i | 0.201608 | + | 1.14338i | ||||
\(851\) | 312.355 | − | 55.0767i | 0.367045 | − | 0.0647199i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1035.22 | − | 868.650i | −1.21362 | − | 1.01835i | −0.999134 | − | 0.0416200i | \(-0.986748\pi\) |
−0.214485 | − | 0.976727i | \(-0.568807\pi\) | |||||||
\(854\) | 436.708 | − | 252.134i | 0.511368 | − | 0.295238i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 152.588 | − | 264.291i | 0.178257 | − | 0.308751i | ||||
\(857\) | −469.442 | − | 1289.78i | −0.547774 | − | 1.50500i | −0.836709 | − | 0.547647i | \(-0.815524\pi\) |
0.288936 | − | 0.957348i | \(-0.406699\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −49.4325 | + | 41.4788i | −0.0575466 | + | 0.0482873i | −0.671107 | − | 0.741360i | \(-0.734181\pi\) |
0.613561 | + | 0.789648i | \(0.289737\pi\) | |||||||
\(860\) | −5.87622 | + | 16.1448i | −0.00683281 | + | 0.0187730i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 161.803 | − | 917.630i | 0.187706 | − | 1.06454i | ||||
\(863\) | − | 998.597i | − | 1.15712i | −0.815639 | − | 0.578561i | \(-0.803614\pi\) | ||
0.815639 | − | 0.578561i | \(-0.196386\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 37.1747 | 0.0429765 | ||||||||
\(866\) | −237.438 | − | 41.8667i | −0.274178 | − | 0.0483449i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 269.435 | + | 98.0664i | 0.310409 | + | 0.112980i | ||||
\(869\) | −800.994 | − | 954.587i | −0.921742 | − | 1.09849i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −573.915 | + | 208.888i | −0.658915 | + | 0.239825i | ||||
\(872\) | 105.247 | + | 60.7641i | 0.120696 | + | 0.0696836i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −159.500 | − | 276.262i | −0.182494 | − | 0.316089i | ||||
\(875\) | −59.3375 | + | 70.7157i | −0.0678143 | + | 0.0808180i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 263.675 | + | 1495.37i | 0.300656 | + | 1.70510i | 0.643281 | + | 0.765630i | \(0.277573\pi\) |
−0.342625 | + | 0.939472i | \(0.611316\pi\) | |||||||
\(878\) | −1194.41 | + | 210.606i | −1.36037 | + | 0.239870i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −16.9586 | − | 14.2300i | −0.0192711 | − | 0.0161704i | ||||
\(881\) | −462.122 | + | 266.806i | −0.524543 | + | 0.302845i | −0.738791 | − | 0.673934i | \(-0.764603\pi\) |
0.214249 | + | 0.976779i | \(0.431270\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 268.778 | − | 465.537i | 0.304392 | − | 0.527222i | −0.672734 | − | 0.739885i | \(-0.734880\pi\) |
0.977126 | + | 0.212662i | \(0.0682134\pi\) | |||||||
\(884\) | 236.389 | + | 649.473i | 0.267408 | + | 0.734698i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −270.671 | + | 227.120i | −0.305498 | + | 0.256343i | ||||
\(887\) | 335.258 | − | 921.113i | 0.377968 | − | 1.03846i | −0.594229 | − | 0.804296i | \(-0.702543\pi\) |
0.972197 | − | 0.234163i | \(-0.0752350\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −53.8235 | + | 305.248i | −0.0605439 | + | 0.343361i | ||||
\(890\) | − | 60.6542i | − | 0.0681508i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −172.136 | −0.192978 | ||||||||
\(893\) | 1220.53 | + | 215.212i | 1.36678 | + | 0.240999i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 110.187 | + | 40.1049i | 0.123114 | + | 0.0448099i | ||||
\(896\) | −22.9305 | − | 27.3276i | −0.0255921 | − | 0.0304995i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −320.164 | + | 116.530i | −0.356530 | + | 0.129766i | ||||
\(899\) | 946.666 | + | 546.558i | 1.05302 | + | 0.607962i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 359.616 | + | 622.873i | 0.399130 | + | 0.691313i | ||||
\(902\) | 604.560 | − | 720.487i | 0.670244 | − | 0.798766i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 5.27049 | + | 29.8904i | 0.00583019 | + | 0.0330646i | ||||
\(905\) | 41.4008 | − | 7.30008i | 0.0457468 | − | 0.00806639i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 261.282 | + | 219.241i | 0.288072 | + | 0.241721i | 0.775359 | − | 0.631521i | \(-0.217569\pi\) |
−0.487287 | + | 0.873242i | \(0.662013\pi\) | |||||||
\(908\) | −113.364 | + | 65.4508i | −0.124850 | + | 0.0720823i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −16.0498 | + | 27.7990i | −0.0176371 | + | 0.0305484i | ||||
\(911\) | 468.039 | + | 1285.93i | 0.513764 | + | 1.41156i | 0.877285 | + | 0.479970i | \(0.159352\pi\) |
−0.363520 | + | 0.931586i | \(0.618425\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 482.889 | − | 405.192i | 0.528903 | − | 0.443803i | ||||
\(914\) | 92.0371 | − | 252.870i | 0.100697 | − | 0.276663i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 114.760 | − | 650.835i | 0.125284 | − | 0.710519i | ||||
\(917\) | − | 432.069i | − | 0.471177i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 558.729 | 0.607975 | 0.303987 | − | 0.952676i | \(-0.401682\pi\) | ||||
0.303987 | + | 0.952676i | \(0.401682\pi\) | |||||||
\(920\) | −16.5372 | − | 2.91596i | −0.0179753 | − | 0.00316952i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 381.886 | + | 138.995i | 0.414193 | + | 0.150754i | ||||
\(923\) | 68.8506 | + | 82.0529i | 0.0745944 | + | 0.0888981i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −729.719 | + | 265.596i | −0.788885 | + | 0.287131i | ||||
\(926\) | −20.7101 | − | 11.9570i | −0.0223651 | − | 0.0129125i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −68.0008 | − | 117.781i | −0.0732768 | − | 0.126919i | ||||
\(929\) | 667.609 | − | 795.625i | 0.718632 | − | 0.856432i | −0.275865 | − | 0.961196i | \(-0.588964\pi\) |
0.994497 | + | 0.104764i | \(0.0334088\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 151.938 | + | 861.685i | 0.163199 | + | 0.925548i | ||||
\(932\) | 281.607 | − | 49.6549i | 0.302153 | − | 0.0532778i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 739.008 | + | 620.102i | 0.791230 | + | 0.663920i | ||||
\(935\) | −135.672 | + | 78.3303i | −0.145104 | + | 0.0837757i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 323.576 | − | 560.450i | 0.345332 | − | 0.598132i | −0.640082 | − | 0.768306i | \(-0.721100\pi\) |
0.985414 | + | 0.170174i | \(0.0544330\pi\) | |||||||
\(938\) | −76.2971 | − | 209.625i | −0.0813402 | − | 0.223480i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 49.9772 | − | 41.9358i | 0.0531672 | − | 0.0446126i | ||||
\(941\) | −228.423 | + | 627.587i | −0.242745 | + | 0.666936i | 0.757161 | + | 0.653228i | \(0.226586\pi\) |
−0.999906 | + | 0.0137078i | \(0.995637\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 123.885 | − | 702.585i | 0.131373 | − | 0.745053i | ||||
\(944\) | − | 114.677i | − | 0.121480i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 193.395 | 0.204435 | ||||||||
\(947\) | −1716.52 | − | 302.668i | −1.81258 | − | 0.319607i | −0.838347 | − | 0.545136i | \(-0.816478\pi\) |
−0.974237 | + | 0.225529i | \(0.927589\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −269.272 | − | 98.0071i | −0.283743 | − | 0.103274i | ||||
\(950\) | 502.031 | + | 598.297i | 0.528453 | + | 0.629786i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −237.223 | + | 86.3420i | −0.249184 | + | 0.0906954i | ||||
\(953\) | −671.945 | − | 387.948i | −0.705084 | − | 0.407080i | 0.104154 | − | 0.994561i | \(-0.466786\pi\) |
−0.809238 | + | 0.587481i | \(0.800120\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −29.3898 | − | 50.9045i | −0.0307746 | − | 0.0533032i | ||||
\(956\) | 389.958 | − | 464.734i | 0.407906 | − | 0.486123i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −137.167 | − | 777.911i | −0.143180 | − | 0.812015i | ||||
\(959\) | −621.628 | + | 109.610i | −0.648205 | + | 0.114296i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 847.439 | + | 711.086i | 0.881830 | + | 0.739943i | ||||
\(962\) | −470.998 | + | 271.931i | −0.489603 | + | 0.282672i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −312.764 | + | 541.722i | −0.324444 | + | 0.561953i | ||||
\(965\) | 38.3611 | + | 105.396i | 0.0397525 | + | 0.109219i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −149.339 | + | 125.310i | −0.154435 | + | 0.129586i | −0.716731 | − | 0.697350i | \(-0.754363\pi\) |
0.562296 | + | 0.826936i | \(0.309918\pi\) | |||||||
\(968\) | 31.8238 | − | 87.4351i | 0.0328758 | − | 0.0903255i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −22.7618 | + | 129.088i | −0.0234658 | + | 0.133081i | ||||
\(971\) | − | 1753.94i | − | 1.80633i | −0.429299 | − | 0.903163i | \(-0.641239\pi\) | ||
0.429299 | − | 0.903163i | \(-0.358761\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −22.4751 | −0.0230988 | ||||||||
\(974\) | 161.337 | + | 28.4481i | 0.165644 | + | 0.0292075i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −425.059 | − | 154.709i | −0.435512 | − | 0.158513i | ||||
\(977\) | −88.8872 | − | 105.932i | −0.0909797 | − | 0.108425i | 0.718634 | − | 0.695389i | \(-0.244768\pi\) |
−0.809614 | + | 0.586963i | \(0.800323\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −641.574 | + | 233.514i | −0.655336 | + | 0.238523i | ||||
\(980\) | 39.8886 | + | 23.0297i | 0.0407026 | + | 0.0234997i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 87.5321 | + | 151.610i | 0.0891366 | + | 0.154389i | ||||
\(983\) | 123.405 | − | 147.069i | 0.125540 | − | 0.149612i | −0.699613 | − | 0.714522i | \(-0.746644\pi\) |
0.825153 | + | 0.564909i | \(0.191089\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −18.9080 | − | 107.233i | −0.0191960 | − | 0.108866i | ||||
\(986\) | −947.806 | + | 167.124i | −0.961264 | + | 0.169497i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 419.021 | + | 351.600i | 0.424110 | + | 0.355871i | ||||
\(989\) | 127.043 | − | 73.3485i | 0.128456 | − | 0.0741644i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 193.368 | − | 334.923i | 0.195124 | − | 0.337964i | −0.751817 | − | 0.659372i | \(-0.770822\pi\) |
0.946941 | + | 0.321407i | \(0.104156\pi\) | |||||||
\(992\) | −87.9677 | − | 241.689i | −0.0886772 | − | 0.243639i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −29.9702 | + | 25.1480i | −0.0301511 | + | 0.0252998i | ||||
\(995\) | −12.5414 | + | 34.4571i | −0.0126044 | + | 0.0346303i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 212.742 | − | 1206.52i | 0.213382 | − | 1.21015i | −0.670310 | − | 0.742081i | \(-0.733839\pi\) |
0.883692 | − | 0.468069i | \(-0.155050\pi\) | |||||||
\(998\) | 532.856i | 0.533923i | ||||||||
\(999\) | 0 | 0 |
(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 | 162.3.f.a.89.2 | 36 | ||
3.2 | odd | 2 | 54.3.f.a.29.5 | ✓ | 36 | ||
12.11 | even | 2 | 432.3.bc.c.353.3 | 36 | |||
27.11 | odd | 18 | 1458.3.b.c.1457.27 | 36 | |||
27.13 | even | 9 | 54.3.f.a.41.5 | yes | 36 | ||
27.14 | odd | 18 | inner | 162.3.f.a.71.2 | 36 | ||
27.16 | even | 9 | 1458.3.b.c.1457.10 | 36 | |||
108.67 | odd | 18 | 432.3.bc.c.257.3 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
54.3.f.a.29.5 | ✓ | 36 | 3.2 | odd | 2 | ||
54.3.f.a.41.5 | yes | 36 | 27.13 | even | 9 | ||
162.3.f.a.71.2 | 36 | 27.14 | odd | 18 | inner | ||
162.3.f.a.89.2 | 36 | 1.1 | even | 1 | trivial | ||
432.3.bc.c.257.3 | 36 | 108.67 | odd | 18 | |||
432.3.bc.c.353.3 | 36 | 12.11 | even | 2 | |||
1458.3.b.c.1457.10 | 36 | 27.16 | even | 9 | |||
1458.3.b.c.1457.27 | 36 | 27.11 | odd | 18 |