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 | 143.6 | ||
Character | \(\chi\) | \(=\) | 162.143 |
Dual form | 162.3.f.a.17.6 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.483690 | + | 1.32893i | 0.241845 | + | 0.664463i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.53209 | + | 1.28558i | −0.383022 | + | 0.321394i | ||||
\(5\) | 7.71206 | − | 1.35984i | 1.54241 | − | 0.271969i | 0.663216 | − | 0.748428i | \(-0.269191\pi\) |
0.879197 | + | 0.476459i | \(0.158080\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.690206 | − | 0.579152i | −0.0986009 | − | 0.0827360i | 0.592155 | − | 0.805824i | \(-0.298277\pi\) |
−0.690756 | + | 0.723088i | \(0.742722\pi\) | |||||||
\(8\) | −2.44949 | − | 1.41421i | −0.306186 | − | 0.176777i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 5.53738 | + | 9.59102i | 0.553738 | + | 0.959102i | ||||
\(11\) | 15.2420 | + | 2.68757i | 1.38564 | + | 0.244325i | 0.816228 | − | 0.577730i | \(-0.196062\pi\) |
0.569408 | + | 0.822055i | \(0.307173\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.854187 | − | 0.310899i | −0.0657067 | − | 0.0239153i | 0.308958 | − | 0.951076i | \(-0.400020\pi\) |
−0.374664 | + | 0.927160i | \(0.622242\pi\) | |||||||
\(14\) | 0.435804 | − | 1.19736i | 0.0311289 | − | 0.0855259i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.694593 | − | 3.93923i | 0.0434120 | − | 0.246202i | ||||
\(17\) | −10.6672 | + | 6.15869i | −0.627480 | + | 0.362276i | −0.779776 | − | 0.626059i | \(-0.784667\pi\) |
0.152295 | + | 0.988335i | \(0.451334\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −5.40619 | + | 9.36379i | −0.284536 | + | 0.492831i | −0.972497 | − | 0.232917i | \(-0.925173\pi\) |
0.687960 | + | 0.725748i | \(0.258506\pi\) | |||||||
\(20\) | −10.0674 | + | 11.9978i | −0.503369 | + | 0.599892i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.80080 | + | 21.5554i | 0.172764 | + | 0.979792i | ||||
\(23\) | 21.0966 | + | 25.1419i | 0.917241 | + | 1.09313i | 0.995364 | + | 0.0961819i | \(0.0306631\pi\) |
−0.0781224 | + | 0.996944i | \(0.524892\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 34.1344 | − | 12.4239i | 1.36538 | − | 0.496956i | ||||
\(26\) | − | 1.28553i | − | 0.0494435i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.80200 | 0.0643571 | ||||||||
\(29\) | −19.3495 | − | 53.1622i | −0.667222 | − | 1.83318i | −0.540701 | − | 0.841215i | \(-0.681841\pi\) |
−0.126521 | − | 0.991964i | \(-0.540381\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −37.9518 | + | 31.8453i | −1.22425 | + | 1.02727i | −0.225660 | + | 0.974206i | \(0.572454\pi\) |
−0.998591 | + | 0.0530624i | \(0.983102\pi\) | |||||||
\(32\) | 5.57091 | − | 0.982302i | 0.174091 | − | 0.0306970i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −13.3440 | − | 11.1970i | −0.392472 | − | 0.329323i | ||||
\(35\) | −6.11047 | − | 3.52788i | −0.174585 | − | 0.100797i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −17.4417 | − | 30.2099i | −0.471398 | − | 0.816485i | 0.528067 | − | 0.849203i | \(-0.322917\pi\) |
−0.999465 | + | 0.0327181i | \(0.989584\pi\) | |||||||
\(38\) | −15.0587 | − | 2.65526i | −0.396282 | − | 0.0698751i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −20.8137 | − | 7.57558i | −0.520343 | − | 0.189389i | ||||
\(41\) | 12.2490 | − | 33.6538i | 0.298756 | − | 0.820824i | −0.695953 | − | 0.718087i | \(-0.745018\pi\) |
0.994709 | − | 0.102737i | \(-0.0327600\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.20864 | − | 40.8822i | 0.167643 | − | 0.950750i | −0.778655 | − | 0.627453i | \(-0.784098\pi\) |
0.946298 | − | 0.323297i | \(-0.104791\pi\) | |||||||
\(44\) | −26.8072 | + | 15.4771i | −0.609254 | + | 0.351753i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −23.2075 | + | 40.1966i | −0.504512 | + | 0.873840i | ||||
\(47\) | 15.9152 | − | 18.9670i | 0.338622 | − | 0.403554i | −0.569682 | − | 0.821865i | \(-0.692933\pi\) |
0.908304 | + | 0.418311i | \(0.137378\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −8.36779 | − | 47.4561i | −0.170771 | − | 0.968492i | ||||
\(50\) | 33.0209 | + | 39.3528i | 0.660418 | + | 0.787056i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.70837 | − | 0.621797i | 0.0328533 | − | 0.0119576i | ||||
\(53\) | 50.3340i | 0.949699i | 0.880067 | + | 0.474850i | \(0.157498\pi\) | ||||
−0.880067 | + | 0.474850i | \(0.842502\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 121.202 | 2.20367 | ||||||||
\(56\) | 0.871609 | + | 2.39472i | 0.0155644 | + | 0.0427629i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 61.2895 | − | 51.4280i | 1.05672 | − | 0.886689i | ||||
\(59\) | −65.7126 | + | 11.5869i | −1.11377 | + | 0.196388i | −0.700105 | − | 0.714040i | \(-0.746863\pi\) |
−0.413667 | + | 0.910428i | \(0.635752\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −18.7893 | − | 15.7661i | −0.308021 | − | 0.258460i | 0.475653 | − | 0.879633i | \(-0.342212\pi\) |
−0.783673 | + | 0.621173i | \(0.786656\pi\) | |||||||
\(62\) | −60.6770 | − | 35.0319i | −0.978661 | − | 0.565030i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.00000 | + | 6.92820i | 0.0625000 | + | 0.108253i | ||||
\(65\) | −7.01032 | − | 1.23611i | −0.107851 | − | 0.0190170i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −61.2882 | − | 22.3071i | −0.914750 | − | 0.332942i | −0.158602 | − | 0.987343i | \(-0.550699\pi\) |
−0.756148 | + | 0.654401i | \(0.772921\pi\) | |||||||
\(68\) | 8.42558 | − | 23.1491i | 0.123906 | − | 0.340428i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.73272 | − | 9.82676i | 0.0247532 | − | 0.140382i | ||||
\(71\) | −24.4496 | + | 14.1160i | −0.344361 | + | 0.198817i | −0.662199 | − | 0.749328i | \(-0.730377\pi\) |
0.317838 | + | 0.948145i | \(0.397043\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −10.7760 | + | 18.6646i | −0.147617 | + | 0.255680i | −0.930346 | − | 0.366682i | \(-0.880494\pi\) |
0.782729 | + | 0.622362i | \(0.213827\pi\) | |||||||
\(74\) | 31.7104 | − | 37.7910i | 0.428519 | − | 0.510689i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.75510 | − | 21.2962i | −0.0494092 | − | 0.280213i | ||||
\(77\) | −8.96360 | − | 10.6824i | −0.116410 | − | 0.138732i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −27.2240 | + | 9.90872i | −0.344608 | + | 0.125427i | −0.508525 | − | 0.861047i | \(-0.669809\pi\) |
0.163918 | + | 0.986474i | \(0.447587\pi\) | |||||||
\(80\) | − | 31.3241i | − | 0.391552i | ||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 50.6481 | 0.617660 | ||||||||
\(83\) | 0.0509121 | + | 0.139880i | 0.000613399 | + | 0.00168530i | 0.939999 | − | 0.341177i | \(-0.110826\pi\) |
−0.939386 | + | 0.342863i | \(0.888603\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −73.8910 | + | 62.0019i | −0.869306 | + | 0.729434i | ||||
\(86\) | 57.8162 | − | 10.1946i | 0.672282 | − | 0.118541i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −33.5343 | − | 28.1386i | −0.381071 | − | 0.319757i | ||||
\(89\) | 79.3008 | + | 45.7843i | 0.891020 | + | 0.514431i | 0.874276 | − | 0.485429i | \(-0.161337\pi\) |
0.0167439 | + | 0.999860i | \(0.494670\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.409508 | + | 0.709288i | 0.00450008 | + | 0.00779437i | ||||
\(92\) | −64.6436 | − | 11.3984i | −0.702648 | − | 0.123896i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 32.9038 | + | 11.9760i | 0.350041 | + | 0.127404i | ||||
\(95\) | −28.9595 | + | 79.5657i | −0.304837 | + | 0.837534i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −17.4501 | + | 98.9646i | −0.179898 | + | 1.02025i | 0.752439 | + | 0.658662i | \(0.228877\pi\) |
−0.932337 | + | 0.361591i | \(0.882234\pi\) | |||||||
\(98\) | 59.0182 | − | 34.0742i | 0.602227 | − | 0.347696i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −36.3251 | + | 62.9169i | −0.363251 | + | 0.629169i | ||||
\(101\) | 67.8785 | − | 80.8944i | 0.672064 | − | 0.800935i | −0.316999 | − | 0.948426i | \(-0.602675\pi\) |
0.989063 | + | 0.147491i | \(0.0471198\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 15.1042 | + | 85.6604i | 0.146643 | + | 0.831654i | 0.966033 | + | 0.258418i | \(0.0832011\pi\) |
−0.819390 | + | 0.573236i | \(0.805688\pi\) | |||||||
\(104\) | 1.65265 | + | 1.96955i | 0.0158908 | + | 0.0189379i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −66.8902 | + | 24.3461i | −0.631040 | + | 0.229680i | ||||
\(107\) | 24.5062i | 0.229030i | 0.993422 | + | 0.114515i | \(0.0365313\pi\) | ||||
−0.993422 | + | 0.114515i | \(0.963469\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −33.5716 | −0.307996 | −0.153998 | − | 0.988071i | \(-0.549215\pi\) | ||||
−0.153998 | + | 0.988071i | \(0.549215\pi\) | |||||||
\(110\) | 58.6241 | + | 161.068i | 0.532946 | + | 1.46426i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.76082 | + | 2.31661i | −0.0246502 | + | 0.0206840i | ||||
\(113\) | −120.158 | + | 21.1870i | −1.06334 | + | 0.187496i | −0.677839 | − | 0.735211i | \(-0.737083\pi\) |
−0.385503 | + | 0.922707i | \(0.625972\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 196.887 | + | 165.208i | 1.71206 | + | 1.43659i | ||||
\(116\) | 97.9891 | + | 56.5740i | 0.844733 | + | 0.487707i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −47.1826 | − | 81.7227i | −0.399853 | − | 0.692565i | ||||
\(119\) | 10.9294 | + | 1.92714i | 0.0918433 | + | 0.0161945i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 111.392 | + | 40.5435i | 0.920598 | + | 0.335070i | ||||
\(122\) | 11.8638 | − | 32.5954i | 0.0972440 | − | 0.267176i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 17.2059 | − | 97.5797i | 0.138758 | − | 0.786933i | ||||
\(125\) | 76.8053 | − | 44.3435i | 0.614442 | − | 0.354748i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −52.2314 | + | 90.4674i | −0.411271 | + | 0.712342i | −0.995029 | − | 0.0995859i | \(-0.968248\pi\) |
0.583758 | + | 0.811927i | \(0.301582\pi\) | |||||||
\(128\) | −7.27231 | + | 8.66680i | −0.0568149 | + | 0.0677094i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.74812 | − | 9.91409i | −0.0134471 | − | 0.0762622i | ||||
\(131\) | 0.587532 | + | 0.700193i | 0.00448497 | + | 0.00534498i | 0.768282 | − | 0.640111i | \(-0.221112\pi\) |
−0.763797 | + | 0.645456i | \(0.776667\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 9.15444 | − | 3.33194i | 0.0688304 | − | 0.0250522i | ||||
\(134\) | − | 92.2372i | − | 0.688337i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 34.8388 | 0.256168 | ||||||||
\(137\) | −4.80632 | − | 13.2053i | −0.0350826 | − | 0.0963887i | 0.920915 | − | 0.389764i | \(-0.127444\pi\) |
−0.955997 | + | 0.293376i | \(0.905221\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 142.580 | − | 119.639i | 1.02576 | − | 0.860714i | 0.0354184 | − | 0.999373i | \(-0.488724\pi\) |
0.990340 | + | 0.138659i | \(0.0442792\pi\) | |||||||
\(140\) | 13.8971 | − | 2.45044i | 0.0992653 | − | 0.0175031i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −30.5851 | − | 25.6640i | −0.215388 | − | 0.180732i | ||||
\(143\) | −12.1839 | − | 7.03440i | −0.0852024 | − | 0.0491916i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −221.516 | − | 383.678i | −1.52770 | − | 2.64605i | ||||
\(146\) | −30.0162 | − | 5.29267i | −0.205590 | − | 0.0362511i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 65.5594 | + | 23.8617i | 0.442969 | + | 0.161227i | ||||
\(149\) | 43.3633 | − | 119.140i | 0.291029 | − | 0.799595i | −0.704888 | − | 0.709319i | \(-0.749003\pi\) |
0.995917 | − | 0.0902764i | \(-0.0287750\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −23.8651 | + | 135.346i | −0.158047 | + | 0.896331i | 0.797899 | + | 0.602791i | \(0.205945\pi\) |
−0.955947 | + | 0.293540i | \(0.905167\pi\) | |||||||
\(152\) | 26.4848 | − | 15.2910i | 0.174242 | − | 0.100599i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 9.86052 | − | 17.0789i | 0.0640294 | − | 0.110902i | ||||
\(155\) | −249.382 | + | 297.202i | −1.60891 | + | 1.91743i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 4.03656 | + | 22.8925i | 0.0257106 | + | 0.145812i | 0.994961 | − | 0.100266i | \(-0.0319693\pi\) |
−0.969250 | + | 0.246078i | \(0.920858\pi\) | |||||||
\(158\) | −26.3359 | − | 31.3859i | −0.166683 | − | 0.198645i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 41.6275 | − | 15.1512i | 0.260172 | − | 0.0946947i | ||||
\(161\) | − | 29.5712i | − | 0.183672i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 157.977 | 0.969187 | 0.484593 | − | 0.874740i | \(-0.338968\pi\) | ||||
0.484593 | + | 0.874740i | \(0.338968\pi\) | |||||||
\(164\) | 24.4980 | + | 67.3076i | 0.149378 | + | 0.410412i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.161264 | + | 0.135317i | −0.000971472 | + | 0.000815162i | ||||
\(167\) | 93.0755 | − | 16.4117i | 0.557338 | − | 0.0982737i | 0.112118 | − | 0.993695i | \(-0.464237\pi\) |
0.445220 | + | 0.895421i | \(0.353125\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −128.829 | − | 108.100i | −0.762299 | − | 0.639645i | ||||
\(170\) | −118.136 | − | 68.2060i | −0.694919 | − | 0.401212i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 41.5129 | + | 71.9025i | 0.241354 | + | 0.418038i | ||||
\(173\) | 286.053 | + | 50.4388i | 1.65348 | + | 0.291554i | 0.921097 | − | 0.389334i | \(-0.127295\pi\) |
0.732388 | + | 0.680888i | \(0.238406\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −30.7551 | − | 11.1939i | −0.175743 | − | 0.0639654i | ||||
\(176\) | 21.1739 | − | 58.1749i | 0.120307 | − | 0.330539i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −22.4870 | + | 127.530i | −0.126332 | + | 0.716462i | ||||
\(179\) | −9.64834 | + | 5.57047i | −0.0539013 | + | 0.0311200i | −0.526709 | − | 0.850046i | \(-0.676574\pi\) |
0.472807 | + | 0.881166i | \(0.343241\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −95.2763 | + | 165.023i | −0.526389 | + | 0.911732i | 0.473139 | + | 0.880988i | \(0.343121\pi\) |
−0.999527 | + | 0.0307438i | \(0.990212\pi\) | |||||||
\(182\) | −0.744517 | + | 0.887281i | −0.00409075 | + | 0.00487517i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −16.1198 | − | 91.4198i | −0.0876075 | − | 0.496847i | ||||
\(185\) | −175.592 | − | 209.263i | −0.949148 | − | 1.13115i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −179.141 | + | 65.2019i | −0.957972 | + | 0.348673i | ||||
\(188\) | 49.5194i | 0.263401i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −119.744 | −0.630233 | ||||||||
\(191\) | −5.86380 | − | 16.1107i | −0.0307005 | − | 0.0843490i | 0.923395 | − | 0.383850i | \(-0.125402\pi\) |
−0.954096 | + | 0.299501i | \(0.903180\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 118.098 | − | 99.0962i | 0.611908 | − | 0.513452i | −0.283340 | − | 0.959019i | \(-0.591443\pi\) |
0.895248 | + | 0.445568i | \(0.146998\pi\) | |||||||
\(194\) | −139.957 | + | 24.6782i | −0.721428 | + | 0.127207i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 73.8286 | + | 61.9496i | 0.376677 | + | 0.316069i | ||||
\(197\) | −107.213 | − | 61.8996i | −0.544230 | − | 0.314211i | 0.202561 | − | 0.979270i | \(-0.435073\pi\) |
−0.746792 | + | 0.665058i | \(0.768407\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −117.239 | − | 203.063i | −0.589139 | − | 1.02042i | −0.994345 | − | 0.106193i | \(-0.966134\pi\) |
0.405207 | − | 0.914225i | \(-0.367200\pi\) | |||||||
\(200\) | −101.182 | − | 17.8411i | −0.505910 | − | 0.0892055i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 140.335 | + | 51.0777i | 0.694727 | + | 0.252860i | ||||
\(203\) | −17.4339 | + | 47.8991i | −0.0858811 | + | 0.235956i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 48.7010 | − | 276.197i | 0.237566 | − | 1.34730i | ||||
\(206\) | −106.531 | + | 61.5054i | −0.517139 | + | 0.298570i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −1.81801 | + | 3.14889i | −0.00874045 | + | 0.0151389i | ||||
\(209\) | −107.567 | + | 128.193i | −0.514674 | + | 0.613365i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.24958 | − | 52.4570i | −0.0438369 | − | 0.248611i | 0.955013 | − | 0.296565i | \(-0.0958411\pi\) |
−0.998850 | + | 0.0479537i | \(0.984730\pi\) | |||||||
\(212\) | −64.7082 | − | 77.1162i | −0.305227 | − | 0.363756i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −32.5669 | + | 11.8534i | −0.152182 | + | 0.0553896i | ||||
\(215\) | − | 325.089i | − | 1.51204i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 44.6378 | 0.205704 | ||||||||
\(218\) | −16.2382 | − | 44.6142i | −0.0744873 | − | 0.204652i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −185.692 | + | 155.814i | −0.844054 | + | 0.708246i | ||||
\(221\) | 11.0265 | − | 1.94427i | 0.0498936 | − | 0.00879759i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −45.9011 | − | 38.5156i | −0.205835 | − | 0.172716i | 0.534043 | − | 0.845457i | \(-0.320672\pi\) |
−0.739878 | + | 0.672742i | \(0.765117\pi\) | |||||||
\(224\) | −4.41398 | − | 2.54841i | −0.0197053 | − | 0.0113768i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −86.2750 | − | 149.433i | −0.381748 | − | 0.661206i | ||||
\(227\) | 62.7048 | + | 11.0565i | 0.276232 | + | 0.0487072i | 0.310048 | − | 0.950721i | \(-0.399655\pi\) |
−0.0338157 | + | 0.999428i | \(0.510766\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −201.212 | − | 73.2350i | −0.878653 | − | 0.319804i | −0.136987 | − | 0.990573i | \(-0.543742\pi\) |
−0.741666 | + | 0.670769i | \(0.765964\pi\) | |||||||
\(230\) | −124.317 | + | 341.558i | −0.540508 | + | 1.48503i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −27.7864 | + | 157.584i | −0.119769 | + | 0.679243i | ||||
\(233\) | 186.691 | − | 107.786i | 0.801248 | − | 0.462601i | −0.0426593 | − | 0.999090i | \(-0.513583\pi\) |
0.843907 | + | 0.536489i | \(0.180250\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 96.9470 | − | 167.917i | 0.412541 | − | 0.714541i | ||||
\(236\) | 85.7817 | − | 102.231i | 0.363482 | − | 0.433180i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.72539 | + | 15.4564i | 0.0114512 | + | 0.0649431i | ||||
\(239\) | −26.8944 | − | 32.0515i | −0.112529 | − | 0.134107i | 0.706840 | − | 0.707374i | \(-0.250120\pi\) |
−0.819369 | + | 0.573267i | \(0.805676\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 421.281 | − | 153.334i | 1.74805 | − | 0.636240i | 0.748418 | − | 0.663227i | \(-0.230814\pi\) |
0.999636 | + | 0.0269874i | \(0.00859139\pi\) | |||||||
\(242\) | 167.643i | 0.692738i | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 49.0553 | 0.201046 | ||||||||
\(245\) | −129.066 | − | 354.606i | −0.526800 | − | 1.44737i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 7.52908 | − | 6.31765i | 0.0304821 | − | 0.0255775i | ||||
\(248\) | 137.999 | − | 24.3329i | 0.556446 | − | 0.0981164i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 96.0792 | + | 80.6200i | 0.384317 | + | 0.322480i | ||||
\(251\) | 222.273 | + | 128.329i | 0.885549 | + | 0.511272i | 0.872484 | − | 0.488643i | \(-0.162508\pi\) |
0.0130650 | + | 0.999915i | \(0.495841\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 253.983 | + | 439.911i | 1.00388 | + | 1.73878i | ||||
\(254\) | −145.488 | − | 25.6535i | −0.572788 | − | 0.100998i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.0351 | − | 5.47232i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | −134.312 | + | 369.019i | −0.522614 | + | 1.43587i | 0.344986 | + | 0.938608i | \(0.387884\pi\) |
−0.867600 | + | 0.497262i | \(0.834339\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.45776 | + | 30.9525i | −0.0210724 | + | 0.119508i | ||||
\(260\) | 12.3295 | − | 7.11846i | 0.0474213 | − | 0.0273787i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.646322 | + | 1.11946i | −0.00246688 | + | 0.00427276i | ||||
\(263\) | −78.9273 | + | 94.0619i | −0.300104 | + | 0.357650i | −0.894932 | − | 0.446203i | \(-0.852776\pi\) |
0.594828 | + | 0.803853i | \(0.297220\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 68.4465 | + | 388.179i | 0.258289 | + | 1.46483i | ||||
\(266\) | 8.85581 | + | 10.5539i | 0.0332925 | + | 0.0396765i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 122.576 | − | 44.6142i | 0.457375 | − | 0.166471i | ||||
\(269\) | 392.295i | 1.45835i | 0.684329 | + | 0.729173i | \(0.260095\pi\) | ||||
−0.684329 | + | 0.729173i | \(0.739905\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −43.9569 | −0.162203 | −0.0811013 | − | 0.996706i | \(-0.525844\pi\) | ||||
−0.0811013 | + | 0.996706i | \(0.525844\pi\) | |||||||
\(272\) | 16.8512 | + | 46.2982i | 0.0619528 | + | 0.170214i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 15.2240 | − | 12.7745i | 0.0555622 | − | 0.0466222i | ||||
\(275\) | 553.666 | − | 97.6263i | 2.01333 | − | 0.355005i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −253.346 | − | 212.582i | −0.914606 | − | 0.767446i | 0.0583836 | − | 0.998294i | \(-0.481405\pi\) |
−0.972990 | + | 0.230849i | \(0.925850\pi\) | |||||||
\(278\) | 227.956 | + | 131.611i | 0.819987 | + | 0.473420i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 9.97835 | + | 17.2830i | 0.0356370 | + | 0.0617251i | ||||
\(281\) | 252.252 | + | 44.4788i | 0.897692 | + | 0.158287i | 0.603410 | − | 0.797431i | \(-0.293808\pi\) |
0.294282 | + | 0.955719i | \(0.404919\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 146.361 | + | 53.2711i | 0.517177 | + | 0.188237i | 0.587404 | − | 0.809294i | \(-0.300150\pi\) |
−0.0702267 | + | 0.997531i | \(0.522372\pi\) | |||||||
\(284\) | 19.3118 | − | 53.0588i | 0.0679993 | − | 0.186827i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.45496 | − | 19.5940i | 0.0120803 | − | 0.0685106i | ||||
\(287\) | −27.9450 | + | 16.1340i | −0.0973693 | + | 0.0562162i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −68.6411 | + | 118.890i | −0.237512 | + | 0.411383i | ||||
\(290\) | 402.734 | − | 479.960i | 1.38874 | − | 1.65503i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −7.48496 | − | 42.4493i | −0.0256334 | − | 0.145374i | ||||
\(293\) | 131.430 | + | 156.632i | 0.448566 | + | 0.534580i | 0.942183 | − | 0.335100i | \(-0.108770\pi\) |
−0.493617 | + | 0.869679i | \(0.664326\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −491.023 | + | 178.718i | −1.66448 | + | 0.605823i | ||||
\(296\) | 98.6652i | 0.333328i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 179.302 | 0.601685 | ||||||||
\(299\) | −10.2038 | − | 28.0348i | −0.0341265 | − | 0.0937618i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −28.6525 | + | 24.0423i | −0.0951909 | + | 0.0798747i | ||||
\(302\) | −191.408 | + | 33.7504i | −0.633801 | + | 0.111756i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 33.1310 | + | 27.8002i | 0.108984 | + | 0.0914482i | ||||
\(305\) | −166.343 | − | 96.0384i | −0.545388 | − | 0.314880i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 284.956 | + | 493.559i | 0.928196 | + | 1.60768i | 0.786339 | + | 0.617796i | \(0.211974\pi\) |
0.141857 | + | 0.989887i | \(0.454693\pi\) | |||||||
\(308\) | 27.4661 | + | 4.84301i | 0.0891755 | + | 0.0157241i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −515.582 | − | 187.657i | −1.66317 | − | 0.605344i | ||||
\(311\) | 152.905 | − | 420.102i | 0.491654 | − | 1.35081i | −0.407511 | − | 0.913200i | \(-0.633603\pi\) |
0.899165 | − | 0.437609i | \(-0.144175\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −50.5690 | + | 286.791i | −0.161562 | + | 0.916265i | 0.790976 | + | 0.611847i | \(0.209573\pi\) |
−0.952538 | + | 0.304418i | \(0.901538\pi\) | |||||||
\(314\) | −28.4700 | + | 16.4371i | −0.0906686 | + | 0.0523476i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 28.9712 | − | 50.1795i | 0.0916809 | − | 0.158796i | ||||
\(317\) | 216.870 | − | 258.455i | 0.684131 | − | 0.815316i | −0.306501 | − | 0.951870i | \(-0.599158\pi\) |
0.990633 | + | 0.136554i | \(0.0436028\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −152.047 | − | 862.300i | −0.476636 | − | 2.70314i | ||||
\(320\) | 40.2695 | + | 47.9914i | 0.125842 | + | 0.149973i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 39.2979 | − | 14.3033i | 0.122043 | − | 0.0444201i | ||||
\(323\) | − | 133.180i | − | 0.412322i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −33.0197 | −0.101599 | ||||||||
\(326\) | 76.4120 | + | 209.940i | 0.234393 | + | 0.643989i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −77.5974 | + | 65.1120i | −0.236577 | + | 0.198512i | ||||
\(329\) | −21.9696 | + | 3.87383i | −0.0667768 | + | 0.0117746i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 116.755 | + | 97.9694i | 0.352735 | + | 0.295980i | 0.801887 | − | 0.597475i | \(-0.203829\pi\) |
−0.449152 | + | 0.893455i | \(0.648274\pi\) | |||||||
\(332\) | −0.257828 | − | 0.148857i | −0.000776590 | − | 0.000448365i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 66.8296 | + | 115.752i | 0.200089 | + | 0.346564i | ||||
\(335\) | −502.993 | − | 88.6912i | −1.50147 | − | 0.264750i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 219.421 | + | 79.8628i | 0.651102 | + | 0.236982i | 0.646390 | − | 0.763007i | \(-0.276278\pi\) |
0.00471178 | + | 0.999989i | \(0.498500\pi\) | |||||||
\(338\) | 81.3439 | − | 223.490i | 0.240662 | − | 0.661214i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 33.4994 | − | 189.985i | 0.0985278 | − | 0.558779i | ||||
\(341\) | −664.047 | + | 383.388i | −1.94735 | + | 1.12430i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −43.7833 | + | 75.8349i | −0.127648 | + | 0.221093i | ||||
\(344\) | −75.4737 | + | 89.9461i | −0.219400 | + | 0.261471i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 71.3313 | + | 404.540i | 0.206160 | + | 1.16919i | ||||
\(347\) | 409.259 | + | 487.736i | 1.17942 | + | 1.40558i | 0.894523 | + | 0.447022i | \(0.147516\pi\) |
0.284899 | + | 0.958558i | \(0.408040\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 268.471 | − | 97.7153i | 0.769257 | − | 0.279987i | 0.0725714 | − | 0.997363i | \(-0.476879\pi\) |
0.696686 | + | 0.717377i | \(0.254657\pi\) | |||||||
\(350\) | − | 46.2857i | − | 0.132245i | ||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 87.5518 | 0.248727 | ||||||||
\(353\) | 112.137 | + | 308.094i | 0.317669 | + | 0.872788i | 0.991050 | + | 0.133492i | \(0.0426191\pi\) |
−0.673381 | + | 0.739296i | \(0.735159\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −169.361 | + | 142.111i | −0.477074 | + | 0.400313i | ||||
\(356\) | −180.355 | + | 31.8015i | −0.506615 | + | 0.0893299i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −12.0695 | − | 10.1276i | −0.0337138 | − | 0.0282893i | ||||
\(359\) | −484.455 | − | 279.700i | −1.34946 | − | 0.779109i | −0.361284 | − | 0.932456i | \(-0.617661\pi\) |
−0.988172 | + | 0.153347i | \(0.950995\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 122.046 | + | 211.390i | 0.338078 | + | 0.585569i | ||||
\(362\) | −265.388 | − | 46.7951i | −0.733116 | − | 0.129268i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −1.53925 | − | 0.560239i | −0.00422870 | − | 0.00153912i | ||||
\(365\) | −57.7245 | + | 158.597i | −0.158149 | + | 0.434511i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 83.2991 | − | 472.413i | 0.226973 | − | 1.28723i | −0.631904 | − | 0.775047i | \(-0.717726\pi\) |
0.858877 | − | 0.512182i | \(-0.171163\pi\) | |||||||
\(368\) | 113.693 | − | 65.6408i | 0.308949 | − | 0.178372i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 193.163 | − | 334.568i | 0.522061 | − | 0.904237i | ||||
\(371\) | 29.1510 | − | 34.7409i | 0.0785743 | − | 0.0936411i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 59.7262 | + | 338.724i | 0.160124 | + | 0.908107i | 0.953951 | + | 0.299964i | \(0.0969745\pi\) |
−0.793827 | + | 0.608144i | \(0.791914\pi\) | |||||||
\(374\) | −173.297 | − | 206.527i | −0.463361 | − | 0.552212i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −65.8076 | + | 23.9520i | −0.175020 | + | 0.0637022i | ||||
\(377\) | 51.4262i | 0.136409i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −104.156 | −0.274817 | −0.137408 | − | 0.990514i | \(-0.543877\pi\) | ||||
−0.137408 | + | 0.990514i | \(0.543877\pi\) | |||||||
\(380\) | −57.9191 | − | 159.131i | −0.152419 | − | 0.418767i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 18.5736 | − | 15.5851i | 0.0486220 | − | 0.0407987i | ||||
\(383\) | 63.8855 | − | 11.2647i | 0.166803 | − | 0.0294118i | −0.0896229 | − | 0.995976i | \(-0.528566\pi\) |
0.256426 | + | 0.966564i | \(0.417455\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −83.6542 | − | 70.1942i | −0.217284 | − | 0.182323i | ||||
\(386\) | 188.814 | + | 109.012i | 0.489156 | + | 0.282415i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −100.491 | − | 174.056i | −0.258998 | − | 0.448598i | ||||
\(389\) | −232.365 | − | 40.9722i | −0.597339 | − | 0.105327i | −0.133200 | − | 0.991089i | \(-0.542525\pi\) |
−0.464139 | + | 0.885762i | \(0.653636\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −379.882 | − | 138.266i | −0.971564 | − | 0.353620i | ||||
\(392\) | −46.6163 | + | 128.077i | −0.118919 | + | 0.326727i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 30.4021 | − | 172.419i | 0.0771627 | − | 0.437611i | ||||
\(395\) | −196.479 | + | 113.437i | −0.497415 | + | 0.287183i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.59349 | + | 4.49206i | −0.00653272 | + | 0.0113150i | −0.869273 | − | 0.494332i | \(-0.835413\pi\) |
0.862741 | + | 0.505647i | \(0.168746\pi\) | |||||||
\(398\) | 213.149 | − | 254.021i | 0.535550 | − | 0.638244i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −25.2311 | − | 143.093i | −0.0630778 | − | 0.357732i | ||||
\(401\) | −103.381 | − | 123.205i | −0.257808 | − | 0.307244i | 0.621579 | − | 0.783352i | \(-0.286492\pi\) |
−0.879387 | + | 0.476108i | \(0.842047\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 42.3186 | − | 15.4027i | 0.105009 | − | 0.0382201i | ||||
\(404\) | 211.200i | 0.522773i | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −72.0870 | −0.177554 | ||||||||
\(407\) | −184.655 | − | 507.335i | −0.453698 | − | 1.24652i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −132.217 | + | 110.943i | −0.323269 | + | 0.271255i | −0.789950 | − | 0.613171i | \(-0.789894\pi\) |
0.466682 | + | 0.884425i | \(0.345449\pi\) | |||||||
\(410\) | 390.601 | − | 68.8736i | 0.952686 | − | 0.167984i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −133.264 | − | 111.822i | −0.323456 | − | 0.271412i | ||||
\(413\) | 52.0658 | + | 30.0602i | 0.126067 | + | 0.0727850i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.582852 | + | 1.00953i | 0.00140446 | + | 0.00243260i | ||||
\(416\) | −5.06400 | − | 0.892920i | −0.0121731 | − | 0.00214644i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −222.388 | − | 80.9427i | −0.532029 | − | 0.193643i | ||||
\(419\) | −97.9330 | + | 269.069i | −0.233730 | + | 0.642169i | −1.00000 | 0.000350278i | \(-0.999889\pi\) | |
0.766270 | + | 0.642519i | \(0.222111\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 117.029 | − | 663.704i | 0.277979 | − | 1.57649i | −0.451360 | − | 0.892342i | \(-0.649061\pi\) |
0.729339 | − | 0.684153i | \(-0.239828\pi\) | |||||||
\(422\) | 65.2375 | − | 37.6649i | 0.154591 | − | 0.0892533i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 71.1831 | − | 123.293i | 0.167885 | − | 0.290785i | ||||
\(425\) | −287.602 | + | 342.751i | −0.676711 | + | 0.806473i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.83752 | + | 21.7637i | 0.00898717 | + | 0.0509688i | ||||
\(428\) | −31.5045 | − | 37.5456i | −0.0736087 | − | 0.0877234i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 432.019 | − | 157.242i | 1.00470 | − | 0.365679i | ||||
\(431\) | − | 539.138i | − | 1.25090i | −0.780264 | − | 0.625450i | \(-0.784915\pi\) | ||
0.780264 | − | 0.625450i | \(-0.215085\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −802.991 | −1.85448 | −0.927241 | − | 0.374466i | \(-0.877826\pi\) | ||||
−0.927241 | + | 0.374466i | \(0.877826\pi\) | |||||||
\(434\) | 21.5908 | + | 59.3204i | 0.0497485 | + | 0.136683i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 51.4347 | − | 43.1588i | 0.117969 | − | 0.0989881i | ||||
\(437\) | −349.475 | + | 61.6219i | −0.799715 | + | 0.141011i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −59.9232 | − | 50.2816i | −0.136499 | − | 0.114537i | 0.571982 | − | 0.820266i | \(-0.306175\pi\) |
−0.708481 | + | 0.705730i | \(0.750619\pi\) | |||||||
\(440\) | −296.883 | − | 171.405i | −0.674733 | − | 0.389557i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 7.91718 | + | 13.7130i | 0.0179122 | + | 0.0310248i | ||||
\(443\) | 537.994 | + | 94.8628i | 1.21443 | + | 0.214137i | 0.743928 | − | 0.668260i | \(-0.232961\pi\) |
0.470505 | + | 0.882397i | \(0.344072\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 673.832 | + | 245.255i | 1.51423 | + | 0.551134i | ||||
\(446\) | 28.9825 | − | 79.6288i | 0.0649832 | − | 0.178540i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.25166 | − | 7.09849i | 0.00279388 | − | 0.0158449i | ||||
\(449\) | 592.342 | − | 341.989i | 1.31925 | − | 0.761667i | 0.335639 | − | 0.941991i | \(-0.391048\pi\) |
0.983607 | + | 0.180323i | \(0.0577144\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 277.146 | − | 480.031i | 0.614514 | − | 1.06437i | ||||
\(452\) | 156.855 | − | 186.932i | 0.347024 | − | 0.413567i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 15.6363 | + | 88.6779i | 0.0344412 | + | 0.195326i | ||||
\(455\) | 4.12267 | + | 4.91321i | 0.00906081 | + | 0.0107983i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −80.6475 | + | 29.3533i | −0.176472 | + | 0.0642304i | −0.428745 | − | 0.903426i | \(-0.641044\pi\) |
0.252273 | + | 0.967656i | \(0.418822\pi\) | |||||||
\(458\) | − | 302.818i | − | 0.661175i | ||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −514.035 | −1.11747 | ||||||||
\(461\) | −1.94941 | − | 5.35597i | −0.00422866 | − | 0.0116181i | 0.937560 | − | 0.347823i | \(-0.113079\pi\) |
−0.941789 | + | 0.336205i | \(0.890857\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −247.066 | + | 207.313i | −0.533620 | + | 0.447760i | −0.869349 | − | 0.494198i | \(-0.835462\pi\) |
0.335729 | + | 0.941959i | \(0.391017\pi\) | |||||||
\(464\) | −222.858 | + | 39.2959i | −0.480298 | + | 0.0846894i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 233.540 | + | 195.963i | 0.501159 | + | 0.420522i | ||||
\(467\) | −32.7859 | − | 18.9290i | −0.0702054 | − | 0.0405331i | 0.464486 | − | 0.885580i | \(-0.346239\pi\) |
−0.534692 | + | 0.845047i | \(0.679572\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 29.3823 | + | 50.8917i | 0.0626489 | + | 0.108511i | ||||
\(470\) | 270.042 | + | 47.6157i | 0.574557 | + | 0.101310i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 177.349 | + | 64.5496i | 0.375739 | + | 0.136758i | ||||
\(473\) | 219.748 | − | 603.753i | 0.464584 | − | 1.27643i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −68.2021 | + | 386.793i | −0.143583 | + | 0.814302i | ||||
\(476\) | −19.2222 | + | 11.0980i | −0.0403828 | + | 0.0233150i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 29.5855 | − | 51.2436i | 0.0618944 | − | 0.107204i | ||||
\(479\) | −461.346 | + | 549.811i | −0.963145 | + | 1.14783i | 0.0258182 | + | 0.999667i | \(0.491781\pi\) |
−0.988963 | + | 0.148164i | \(0.952664\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.50626 | + | 31.2275i | 0.0114475 | + | 0.0649221i | ||||
\(482\) | 407.538 | + | 485.685i | 0.845515 | + | 1.00765i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −222.785 | + | 81.0870i | −0.460299 | + | 0.167535i | ||||
\(485\) | 786.950i | 1.62258i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 52.1558 | 0.107096 | 0.0535480 | − | 0.998565i | \(-0.482947\pi\) | ||||
0.0535480 | + | 0.998565i | \(0.482947\pi\) | |||||||
\(488\) | 23.7275 | + | 65.1909i | 0.0486220 | + | 0.133588i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 408.817 | − | 343.038i | 0.834320 | − | 0.700078i | ||||
\(491\) | −77.8114 | + | 13.7202i | −0.158475 | + | 0.0279435i | −0.252323 | − | 0.967643i | \(-0.581194\pi\) |
0.0938475 | + | 0.995587i | \(0.470083\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 533.813 | + | 447.922i | 1.08279 | + | 0.908565i | ||||
\(494\) | 12.0374 | + | 6.94981i | 0.0243673 | + | 0.0140685i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 99.0851 | + | 171.620i | 0.199768 | + | 0.346009i | ||||
\(497\) | 25.0506 | + | 4.41709i | 0.0504036 | + | 0.00888751i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 27.9915 | + | 10.1881i | 0.0560952 | + | 0.0204170i | 0.369915 | − | 0.929065i | \(-0.379387\pi\) |
−0.313820 | + | 0.949482i | \(0.601609\pi\) | |||||||
\(500\) | −60.6655 | + | 166.677i | −0.121331 | + | 0.333354i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −63.0291 | + | 357.456i | −0.125556 | + | 0.712063i | ||||
\(503\) | 146.080 | − | 84.3394i | 0.290418 | − | 0.167673i | −0.347713 | − | 0.937601i | \(-0.613041\pi\) |
0.638130 | + | 0.769928i | \(0.279708\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 413.479 | − | 716.167i | 0.818771 | − | 1.41815i | ||||
\(506\) | −461.760 | + | 550.305i | −0.912570 | + | 1.08756i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −36.2795 | − | 205.751i | −0.0714164 | − | 0.405022i | ||||
\(509\) | −223.993 | − | 266.945i | −0.440066 | − | 0.524450i | 0.499733 | − | 0.866180i | \(-0.333432\pi\) |
−0.939798 | + | 0.341730i | \(0.888987\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 18.2474 | − | 6.64149i | 0.0357091 | − | 0.0129971i | ||||
\(512\) | − | 22.6274i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −555.364 | −1.08047 | ||||||||
\(515\) | 232.970 | + | 640.079i | 0.452368 | + | 1.24287i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 293.555 | − | 246.322i | 0.567805 | − | 0.476445i | ||||
\(518\) | −43.7734 | + | 7.71843i | −0.0845047 | + | 0.0149005i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 15.4236 | + | 12.9419i | 0.0296607 | + | 0.0248883i | ||||
\(521\) | 95.9710 | + | 55.4089i | 0.184205 | + | 0.106351i | 0.589267 | − | 0.807938i | \(-0.299417\pi\) |
−0.405062 | + | 0.914289i | \(0.632750\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 280.197 | + | 485.316i | 0.535750 | + | 0.927946i | 0.999127 | + | 0.0417848i | \(0.0133044\pi\) |
−0.463377 | + | 0.886161i | \(0.653362\pi\) | |||||||
\(524\) | −1.80030 | − | 0.317442i | −0.00343569 | − | 0.000605805i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −163.178 | − | 59.3918i | −0.310224 | − | 0.112912i | ||||
\(527\) | 208.712 | − | 573.433i | 0.396039 | − | 1.08811i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −95.1903 | + | 539.851i | −0.179944 | + | 1.02051i | ||||
\(530\) | −482.755 | + | 278.719i | −0.910858 | + | 0.525884i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −9.74195 | + | 16.8736i | −0.0183119 | + | 0.0317172i | ||||
\(533\) | −20.9258 | + | 24.9384i | −0.0392605 | + | 0.0467888i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 33.3246 | + | 188.993i | 0.0622889 | + | 0.353258i | ||||
\(536\) | 118.578 | + | 141.316i | 0.221227 | + | 0.263649i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −521.331 | + | 189.749i | −0.969018 | + | 0.352694i | ||||
\(539\) | − | 745.814i | − | 1.38370i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −313.055 | −0.578660 | −0.289330 | − | 0.957229i | \(-0.593433\pi\) | ||||
−0.289330 | + | 0.957229i | \(0.593433\pi\) | |||||||
\(542\) | −21.2615 | − | 58.4155i | −0.0392279 | − | 0.107778i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −53.3762 | + | 44.7879i | −0.0981179 | + | 0.0823307i | ||||
\(545\) | −258.906 | + | 45.6522i | −0.475057 | + | 0.0837654i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −564.255 | − | 473.466i | −1.03155 | − | 0.865569i | −0.0405113 | − | 0.999179i | \(-0.512899\pi\) |
−0.991034 | + | 0.133610i | \(0.957343\pi\) | |||||||
\(548\) | 24.3401 | + | 14.0527i | 0.0444162 | + | 0.0256437i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 397.541 | + | 688.561i | 0.722801 | + | 1.25193i | ||||
\(551\) | 602.406 | + | 106.220i | 1.09330 | + | 0.192778i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 24.5288 | + | 8.92776i | 0.0443559 | + | 0.0161442i | ||||
\(554\) | 159.966 | − | 439.502i | 0.288747 | − | 0.793325i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −64.6407 | + | 366.596i | −0.116260 | + | 0.659345i | ||||
\(557\) | 552.604 | − | 319.046i | 0.992108 | − | 0.572794i | 0.0862045 | − | 0.996277i | \(-0.472526\pi\) |
0.905904 | + | 0.423483i | \(0.139193\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −18.8678 | + | 32.6799i | −0.0337527 | + | 0.0584614i | ||||
\(560\) | −18.1414 | + | 21.6201i | −0.0323954 | + | 0.0386073i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 62.9025 | + | 356.738i | 0.111926 | + | 0.634764i | ||||
\(563\) | −224.179 | − | 267.166i | −0.398187 | − | 0.474541i | 0.529279 | − | 0.848448i | \(-0.322462\pi\) |
−0.927466 | + | 0.373907i | \(0.878018\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −897.852 | + | 326.791i | −1.58912 | + | 0.578392i | ||||
\(566\) | 220.270i | 0.389169i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 79.8521 | 0.140585 | ||||||||
\(569\) | −187.157 | − | 514.209i | −0.328922 | − | 0.903707i | −0.988385 | − | 0.151970i | \(-0.951438\pi\) |
0.659463 | − | 0.751737i | \(-0.270784\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 534.384 | − | 448.402i | 0.935874 | − | 0.785292i | −0.0409882 | − | 0.999160i | \(-0.513051\pi\) |
0.976863 | + | 0.213868i | \(0.0686062\pi\) | |||||||
\(572\) | 27.7101 | − | 4.88605i | 0.0484443 | − | 0.00854204i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −34.9576 | − | 29.3329i | −0.0609018 | − | 0.0511027i | ||||
\(575\) | 1032.48 | + | 596.102i | 1.79562 | + | 1.03670i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −193.884 | − | 335.816i | −0.336020 | − | 0.582004i | 0.647660 | − | 0.761929i | \(-0.275748\pi\) |
−0.983680 | + | 0.179925i | \(0.942414\pi\) | |||||||
\(578\) | −191.197 | − | 33.7131i | −0.330790 | − | 0.0583272i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 832.630 | + | 303.052i | 1.43557 | + | 0.522504i | ||||
\(581\) | 0.0458718 | − | 0.126032i | 7.89532e−5 | − | 0.000216922i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −135.276 | + | 767.191i | −0.232035 | + | 1.31594i | ||||
\(584\) | 52.7916 | − | 30.4792i | 0.0903966 | − | 0.0521905i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −144.581 | + | 250.422i | −0.246725 | + | 0.427341i | ||||
\(587\) | 229.618 | − | 273.648i | 0.391173 | − | 0.466181i | −0.534135 | − | 0.845399i | \(-0.679363\pi\) |
0.925307 | + | 0.379218i | \(0.123807\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −93.0185 | − | 527.534i | −0.157926 | − | 0.895644i | ||||
\(590\) | −475.005 | − | 566.089i | −0.805094 | − | 0.959473i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −131.119 | + | 47.7233i | −0.221484 | + | 0.0806137i | ||||
\(593\) | 828.411i | 1.39698i | 0.715618 | + | 0.698492i | \(0.246145\pi\) | ||||
−0.715618 | + | 0.698492i | \(0.753855\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 86.9085 | 0.146065 | ||||||||
\(596\) | 86.7266 | + | 238.279i | 0.145514 | + | 0.399798i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 32.3207 | − | 27.1202i | 0.0540479 | − | 0.0453516i | ||||
\(599\) | −863.376 | + | 152.237i | −1.44136 | + | 0.254151i | −0.839026 | − | 0.544091i | \(-0.816875\pi\) |
−0.602337 | + | 0.798242i | \(0.705763\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 627.682 | + | 526.688i | 1.04440 | + | 0.876353i | 0.992493 | − | 0.122299i | \(-0.0390267\pi\) |
0.0519035 | + | 0.998652i | \(0.483471\pi\) | |||||||
\(602\) | −45.8093 | − | 26.4480i | −0.0760952 | − | 0.0439336i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −137.434 | − | 238.042i | −0.227540 | − | 0.394110i | ||||
\(605\) | 914.197 | + | 161.198i | 1.51107 | + | 0.266442i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −544.372 | − | 198.135i | −0.896823 | − | 0.326417i | −0.147844 | − | 0.989011i | \(-0.547233\pi\) |
−0.748979 | + | 0.662594i | \(0.769456\pi\) | |||||||
\(608\) | −20.9193 | + | 57.4754i | −0.0344068 | + | 0.0945319i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 47.1694 | − | 267.511i | 0.0773268 | − | 0.438542i | ||||
\(611\) | −19.4914 | + | 11.2534i | −0.0319008 | + | 0.0184180i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −163.781 | + | 283.677i | −0.267179 | + | 0.462768i | −0.968132 | − | 0.250439i | \(-0.919425\pi\) |
0.700953 | + | 0.713207i | \(0.252758\pi\) | |||||||
\(614\) | −518.073 | + | 617.415i | −0.843766 | + | 1.00556i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 6.84905 | + | 38.8429i | 0.0111186 | + | 0.0630566i | ||||
\(617\) | 685.484 | + | 816.928i | 1.11099 | + | 1.32403i | 0.940931 | + | 0.338599i | \(0.109953\pi\) |
0.170064 | + | 0.985433i | \(0.445603\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 835.904 | − | 304.244i | 1.35041 | − | 0.491509i | 0.437335 | − | 0.899299i | \(-0.355922\pi\) |
0.913076 | + | 0.407789i | \(0.133700\pi\) | |||||||
\(620\) | − | 775.938i | − | 1.25151i | ||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 632.242 | 1.01647 | ||||||||
\(623\) | −28.2178 | − | 77.5278i | −0.0452934 | − | 0.124443i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −163.639 | + | 137.309i | −0.261822 | + | 0.219695i | ||||
\(626\) | −405.584 | + | 71.5153i | −0.647897 | + | 0.114242i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −35.6144 | − | 29.8840i | −0.0567108 | − | 0.0475860i | ||||
\(629\) | 372.107 | + | 214.836i | 0.591585 | + | 0.341552i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −477.341 | − | 826.778i | −0.756483 | − | 1.31027i | −0.944634 | − | 0.328126i | \(-0.893583\pi\) |
0.188151 | − | 0.982140i | \(-0.439750\pi\) | |||||||
\(632\) | 80.6979 | + | 14.2292i | 0.127687 | + | 0.0225146i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 448.365 | + | 163.192i | 0.707201 | + | 0.257400i | ||||
\(635\) | −279.790 | + | 768.717i | −0.440614 | + | 1.21058i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −7.60638 | + | 43.1379i | −0.0119409 | + | 0.0677205i | ||||
\(638\) | 1072.39 | − | 619.145i | 1.68086 | − | 0.970446i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −44.2990 | + | 76.7281i | −0.0692172 | + | 0.119888i | ||||
\(641\) | 456.345 | − | 543.850i | 0.711926 | − | 0.848440i | −0.281894 | − | 0.959446i | \(-0.590963\pi\) |
0.993820 | + | 0.111005i | \(0.0354070\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 8.61807 | + | 48.8755i | 0.0134029 | + | 0.0760116i | 0.990776 | − | 0.135513i | \(-0.0432683\pi\) |
−0.977373 | + | 0.211525i | \(0.932157\pi\) | |||||||
\(644\) | 38.0160 | + | 45.3057i | 0.0590310 | + | 0.0703505i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 176.987 | − | 64.4178i | 0.273973 | − | 0.0997180i | ||||
\(647\) | − | 918.622i | − | 1.41982i | −0.704294 | − | 0.709909i | \(-0.748736\pi\) | ||
0.704294 | − | 0.709909i | \(-0.251264\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1032.73 | −1.59126 | ||||||||
\(650\) | −15.9713 | − | 43.8808i | −0.0245712 | − | 0.0675089i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −242.035 | + | 203.092i | −0.371220 | + | 0.311491i | ||||
\(653\) | −342.395 | + | 60.3734i | −0.524341 | + | 0.0924555i | −0.429552 | − | 0.903042i | \(-0.641329\pi\) |
−0.0947886 | + | 0.995497i | \(0.530218\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.48323 | + | 4.60098i | 0.00837135 | + | 0.00702440i | ||||
\(656\) | −124.062 | − | 71.6272i | −0.189119 | − | 0.109188i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −15.7745 | − | 27.3222i | −0.0239734 | − | 0.0415231i | ||||
\(659\) | −1263.48 | − | 222.786i | −1.91728 | − | 0.338068i | −0.918873 | − | 0.394554i | \(-0.870899\pi\) |
−0.998403 | + | 0.0564864i | \(0.982010\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −126.358 | − | 45.9904i | −0.191161 | − | 0.0695770i | 0.244666 | − | 0.969608i | \(-0.421322\pi\) |
−0.435827 | + | 0.900030i | \(0.643544\pi\) | |||||||
\(662\) | −73.7207 | + | 202.546i | −0.111361 | + | 0.305961i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0.0731113 | − | 0.414635i | 0.000110107 | − | 0.000624450i | ||||
\(665\) | 66.0687 | − | 38.1448i | 0.0993514 | − | 0.0573605i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 928.391 | − | 1608.02i | 1.39189 | − | 2.41083i | ||||
\(668\) | −121.501 | + | 144.800i | −0.181888 | + | 0.216766i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −125.428 | − | 711.339i | −0.187206 | − | 1.06170i | ||||
\(671\) | −244.013 | − | 290.804i | −0.363656 | − | 0.433389i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 522.659 | − | 190.232i | 0.776610 | − | 0.282663i | 0.0768517 | − | 0.997043i | \(-0.475513\pi\) |
0.699758 | + | 0.714380i | \(0.253291\pi\) | |||||||
\(674\) | 330.223i | 0.489946i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 336.347 | 0.497555 | ||||||||
\(677\) | 116.809 | + | 320.931i | 0.172540 | + | 0.474049i | 0.995578 | − | 0.0939369i | \(-0.0299452\pi\) |
−0.823039 | + | 0.567985i | \(0.807723\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 69.3597 | − | 58.1997i | 0.102150 | − | 0.0857138i | ||||
\(680\) | 268.679 | − | 47.3754i | 0.395116 | − | 0.0696697i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −830.687 | − | 697.029i | −1.21802 | − | 1.02204i | ||||
\(683\) | −181.638 | − | 104.869i | −0.265942 | − | 0.153542i | 0.361100 | − | 0.932527i | \(-0.382401\pi\) |
−0.627042 | + | 0.778985i | \(0.715735\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −55.0237 | − | 95.3039i | −0.0803266 | − | 0.139130i | ||||
\(686\) | −121.956 | − | 21.5042i | −0.177779 | − | 0.0313473i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −156.038 | − | 56.7930i | −0.226799 | − | 0.0825480i | ||||
\(689\) | 15.6488 | − | 42.9947i | 0.0227123 | − | 0.0624016i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −50.5894 | + | 286.907i | −0.0732119 | + | 0.415205i | 0.926071 | + | 0.377349i | \(0.123164\pi\) |
−0.999283 | + | 0.0378567i | \(0.987947\pi\) | |||||||
\(692\) | −503.101 | + | 290.466i | −0.727025 | + | 0.419748i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −450.211 | + | 779.788i | −0.648719 | + | 1.12361i | ||||
\(695\) | 936.899 | − | 1116.55i | 1.34806 | − | 1.60655i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 76.6014 | + | 434.428i | 0.109902 | + | 0.623283i | ||||
\(698\) | 259.713 | + | 309.514i | 0.372082 | + | 0.443430i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 61.5102 | − | 22.3879i | 0.0878717 | − | 0.0319827i | ||||
\(701\) | 445.528i | 0.635560i | 0.948164 | + | 0.317780i | \(0.102937\pi\) | ||||
−0.948164 | + | 0.317780i | \(0.897063\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 377.173 | 0.536519 | ||||||||
\(704\) | 42.3479 | + | 116.350i | 0.0601533 | + | 0.165270i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −355.195 | + | 298.044i | −0.503109 | + | 0.422158i | ||||
\(707\) | −93.7003 | + | 16.5219i | −0.132532 | + | 0.0233690i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −112.307 | − | 94.2371i | −0.158402 | − | 0.132915i | 0.560142 | − | 0.828397i | \(-0.310747\pi\) |
−0.718544 | + | 0.695481i | \(0.755191\pi\) | |||||||
\(710\) | −270.773 | − | 156.331i | −0.381371 | − | 0.220185i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −129.498 | − | 224.296i | −0.181879 | − | 0.315023i | ||||
\(713\) | −1601.30 | − | 282.353i | −2.24587 | − | 0.396007i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −103.529 | − | 37.6815i | −0.144796 | − | 0.0527014i | ||||
\(716\) | 7.62086 | − | 20.9381i | 0.0106437 | − | 0.0292432i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 137.375 | − | 779.092i | 0.191330 | − | 1.08509i | ||||
\(719\) | −442.793 | + | 255.647i | −0.615845 | + | 0.355559i | −0.775250 | − | 0.631655i | \(-0.782376\pi\) |
0.159404 | + | 0.987213i | \(0.449043\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 39.1853 | − | 67.8710i | 0.0543486 | − | 0.0941345i | ||||
\(722\) | −221.890 | + | 264.438i | −0.307326 | + | 0.366257i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −66.1782 | − | 375.315i | −0.0914064 | − | 0.518392i | ||||
\(725\) | −1320.96 | − | 1574.26i | −1.82202 | − | 2.17140i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −233.836 | + | 85.1092i | −0.321644 | + | 0.117069i | −0.497796 | − | 0.867294i | \(-0.665857\pi\) |
0.176152 | + | 0.984363i | \(0.443635\pi\) | |||||||
\(728\) | − | 2.31653i | − | 0.00318204i | ||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −238.684 | −0.326964 | ||||||||
\(731\) | 174.885 | + | 480.493i | 0.239241 | + | 0.657310i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 645.868 | − | 541.947i | 0.881129 | − | 0.739355i | −0.0852818 | − | 0.996357i | \(-0.527179\pi\) |
0.966411 | + | 0.257002i | \(0.0827346\pi\) | |||||||
\(734\) | 668.092 | − | 117.803i | 0.910208 | − | 0.160494i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 142.224 | + | 119.340i | 0.193239 | + | 0.162147i | ||||
\(737\) | −874.202 | − | 504.721i | −1.18616 | − | 0.684832i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 339.638 | + | 588.271i | 0.459592 | + | 0.796036i | 0.998939 | − | 0.0460469i | \(-0.0146624\pi\) |
−0.539347 | + | 0.842083i | \(0.681329\pi\) | |||||||
\(740\) | 538.046 | + | 94.8721i | 0.727090 | + | 0.128206i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 60.2681 | + | 21.9358i | 0.0812239 | + | 0.0295631i | ||||
\(743\) | −215.273 | + | 591.458i | −0.289735 | + | 0.796040i | 0.706368 | + | 0.707845i | \(0.250332\pi\) |
−0.996103 | + | 0.0881957i | \(0.971890\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 172.409 | − | 977.780i | 0.231421 | − | 1.31246i | ||||
\(746\) | −421.250 | + | 243.209i | −0.564679 | + | 0.326017i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 190.638 | − | 330.194i | 0.254863 | − | 0.441436i | ||||
\(749\) | 14.1928 | − | 16.9143i | 0.0189490 | − | 0.0225825i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 123.896 | + | 702.649i | 0.164975 | + | 0.935618i | 0.949090 | + | 0.315004i | \(0.102006\pi\) |
−0.784116 | + | 0.620615i | \(0.786883\pi\) | |||||||
\(752\) | −63.6609 | − | 75.8681i | −0.0846555 | − | 0.100888i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −68.3416 | + | 24.8743i | −0.0906387 | + | 0.0329898i | ||||
\(755\) | 1076.25i | 1.42550i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1327.86 | 1.75411 | 0.877055 | − | 0.480390i | \(-0.159505\pi\) | ||||
0.877055 | + | 0.480390i | \(0.159505\pi\) | |||||||
\(758\) | −50.3790 | − | 138.415i | −0.0664631 | − | 0.182606i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 183.459 | − | 153.940i | 0.241393 | − | 0.202553i | ||||
\(761\) | 928.015 | − | 163.634i | 1.21947 | − | 0.215025i | 0.473371 | − | 0.880863i | \(-0.343037\pi\) |
0.746096 | + | 0.665838i | \(0.231926\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 23.1713 | + | 19.4430i | 0.0303687 | + | 0.0254824i | ||||
\(764\) | 29.6953 | + | 17.1446i | 0.0388682 | + | 0.0224406i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 45.8707 | + | 79.4505i | 0.0598835 | + | 0.103721i | ||||
\(767\) | 59.7332 | + | 10.5326i | 0.0778790 | + | 0.0137322i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −999.812 | − | 363.902i | −1.30015 | − | 0.473214i | −0.403102 | − | 0.915155i | \(-0.632068\pi\) |
−0.897044 | + | 0.441941i | \(0.854290\pi\) | |||||||
\(770\) | 52.8203 | − | 145.123i | 0.0685978 | − | 0.188471i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −53.5414 | + | 303.648i | −0.0693541 | + | 0.393327i | ||||
\(773\) | −250.289 | + | 144.504i | −0.323789 | + | 0.186939i | −0.653080 | − | 0.757289i | \(-0.726523\pi\) |
0.329291 | + | 0.944228i | \(0.393190\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −899.818 | + | 1558.53i | −1.16106 | + | 2.01101i | ||||
\(776\) | 182.701 | − | 217.734i | 0.235439 | − | 0.280586i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −57.9434 | − | 328.613i | −0.0744774 | − | 0.422382i | ||||
\(779\) | 248.907 | + | 296.636i | 0.319521 | + | 0.380790i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −410.598 | + | 149.446i | −0.525734 | + | 0.191352i | ||||
\(782\) | − | 571.712i | − | 0.731090i | ||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −192.753 | −0.245858 | ||||||||
\(785\) | 62.2604 | + | 171.059i | 0.0793126 | + | 0.217910i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −513.070 | + | 430.517i | −0.651931 | + | 0.547035i | −0.907656 | − | 0.419714i | \(-0.862130\pi\) |
0.255725 | + | 0.966750i | \(0.417686\pi\) | |||||||
\(788\) | 243.837 | − | 42.9950i | 0.309438 | − | 0.0545622i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −245.784 | − | 206.237i | −0.311119 | − | 0.261060i | ||||
\(791\) | 95.2040 | + | 54.9661i | 0.120359 | + | 0.0694893i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 11.1479 | + | 19.3087i | 0.0140579 | + | 0.0243490i | ||||
\(794\) | −7.22406 | − | 1.27380i | −0.00909831 | − | 0.00160428i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 440.673 | + | 160.392i | 0.553609 | + | 0.201497i | ||||
\(797\) | −96.3773 | + | 264.795i | −0.120925 | + | 0.332239i | −0.985355 | − | 0.170514i | \(-0.945457\pi\) |
0.864430 | + | 0.502753i | \(0.167679\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −52.9583 | + | 300.342i | −0.0662807 | + | 0.375897i | ||||
\(800\) | 177.956 | − | 102.743i | 0.222445 | − | 0.128429i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 113.726 | − | 196.979i | 0.141803 | − | 0.245610i | ||||
\(803\) | −214.411 | + | 255.525i | −0.267012 | + | 0.318213i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −40.2122 | − | 228.055i | −0.0499531 | − | 0.283298i | ||||
\(806\) | 40.9381 | + | 48.7881i | 0.0507917 | + | 0.0605312i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −280.670 | + | 102.155i | −0.347363 | + | 0.126430i | ||||
\(809\) | − | 747.542i | − | 0.924032i | −0.886872 | − | 0.462016i | \(-0.847126\pi\) | ||
0.886872 | − | 0.462016i | \(-0.152874\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1416.36 | −1.74644 | −0.873218 | − | 0.487330i | \(-0.837971\pi\) | ||||
−0.873218 | + | 0.487330i | \(0.837971\pi\) | |||||||
\(812\) | −34.8677 | − | 95.7983i | −0.0429405 | − | 0.117978i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 584.895 | − | 490.786i | 0.718545 | − | 0.602931i | ||||
\(815\) | 1218.33 | − | 214.825i | 1.49489 | − | 0.263589i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 343.841 | + | 288.517i | 0.420859 | + | 0.353142i | ||||
\(818\) | −211.387 | − | 122.044i | −0.258420 | − | 0.149199i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 280.458 | + | 485.767i | 0.342022 | + | 0.592399i | ||||
\(821\) | −91.5752 | − | 16.1472i | −0.111541 | − | 0.0196677i | 0.117599 | − | 0.993061i | \(-0.462480\pi\) |
−0.229140 | + | 0.973393i | \(0.573591\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 35.2640 | + | 12.8350i | 0.0428481 | + | 0.0155954i | 0.363355 | − | 0.931651i | \(-0.381631\pi\) |
−0.320507 | + | 0.947246i | \(0.603853\pi\) | |||||||
\(824\) | 84.1444 | − | 231.185i | 0.102117 | − | 0.280564i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −14.7641 | + | 83.7314i | −0.0178742 | + | 0.101370i | ||||
\(827\) | −1138.29 | + | 657.194i | −1.37641 | + | 0.794673i | −0.991726 | − | 0.128374i | \(-0.959024\pi\) |
−0.384688 | + | 0.923047i | \(0.625691\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −27.7172 | + | 48.0077i | −0.0334346 | + | 0.0579103i | −0.882258 | − | 0.470765i | \(-0.843978\pi\) |
0.848824 | + | 0.528676i | \(0.177311\pi\) | |||||||
\(830\) | −1.05967 | + | 1.26287i | −0.00127671 | + | 0.00152153i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −1.26278 | − | 7.16158i | −0.00151776 | − | 0.00860766i | ||||
\(833\) | 381.528 | + | 454.688i | 0.458017 | + | 0.545843i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 695.486 | − | 253.136i | 0.832918 | − | 0.303157i | ||||
\(836\) | − | 334.689i | − | 0.400345i | ||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −404.942 | −0.483224 | ||||||||
\(839\) | 192.782 | + | 529.664i | 0.229776 | + | 0.631305i | 0.999979 | − | 0.00649448i | \(-0.00206727\pi\) |
−0.770203 | + | 0.637799i | \(0.779845\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1807.57 | + | 1516.73i | −2.14931 | + | 1.80349i | ||||
\(842\) | 938.620 | − | 165.504i | 1.11475 | − | 0.196561i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 81.6085 | + | 68.4777i | 0.0966926 | + | 0.0811347i | ||||
\(845\) | −1140.53 | − | 658.487i | −1.34974 | − | 0.779274i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −53.4028 | − | 92.4964i | −0.0630494 | − | 0.109205i | ||||
\(848\) | 198.277 | + | 34.9617i | 0.233818 | + | 0.0412284i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −594.601 | − | 216.417i | −0.699531 | − | 0.254608i | ||||
\(851\) | 391.575 | − | 1075.84i | 0.460135 | − | 1.26421i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 82.4484 | − | 467.588i | 0.0966570 | − | 0.548169i | −0.897570 | − | 0.440872i | \(-0.854669\pi\) |
0.994227 | − | 0.107297i | \(-0.0342196\pi\) | |||||||
\(854\) | −27.0661 | + | 15.6266i | −0.0316934 | + | 0.0182982i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 34.6569 | − | 60.0276i | 0.0404871 | − | 0.0701257i | ||||
\(857\) | 478.426 | − | 570.166i | 0.558257 | − | 0.665305i | −0.410920 | − | 0.911672i | \(-0.634792\pi\) |
0.969177 | + | 0.246367i | \(0.0792368\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 72.5615 | + | 411.517i | 0.0844721 | + | 0.479065i | 0.997469 | + | 0.0710990i | \(0.0226506\pi\) |
−0.912997 | + | 0.407966i | \(0.866238\pi\) | |||||||
\(860\) | 417.926 | + | 498.065i | 0.485961 | + | 0.579146i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 716.475 | − | 260.776i | 0.831177 | − | 0.302524i | ||||
\(863\) | 816.761i | 0.946420i | 0.880950 | + | 0.473210i | \(0.156905\pi\) | ||||
−0.880950 | + | 0.473210i | \(0.843095\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 2274.65 | 2.62965 | ||||||||
\(866\) | −388.398 | − | 1067.12i | −0.448497 | − | 1.23223i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −68.3891 | + | 57.3853i | −0.0787893 | + | 0.0661121i | ||||
\(869\) | −441.578 | + | 77.8621i | −0.508145 | + | 0.0895997i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 45.4164 | + | 38.1089i | 0.0521428 | + | 0.0437530i | ||||
\(872\) | 82.2333 | + | 47.4774i | 0.0943042 | + | 0.0544466i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −250.929 | − | 434.621i | −0.287104 | − | 0.497278i | ||||
\(875\) | −78.6931 | − | 13.8757i | −0.0899350 | − | 0.0158580i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 518.635 | + | 188.768i | 0.591374 | + | 0.215242i | 0.620333 | − | 0.784338i | \(-0.286997\pi\) |
−0.0289599 | + | 0.999581i | \(0.509220\pi\) | |||||||
\(878\) | 37.8362 | − | 103.954i | 0.0430937 | − | 0.118399i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 84.1859 | − | 477.442i | 0.0956658 | − | 0.542548i | ||||
\(881\) | 1220.85 | − | 704.859i | 1.38576 | − | 0.800067i | 0.392923 | − | 0.919571i | \(-0.371464\pi\) |
0.992834 | + | 0.119504i | \(0.0381304\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −804.703 | + | 1393.79i | −0.911328 | + | 1.57847i | −0.0991386 | + | 0.995074i | \(0.531609\pi\) |
−0.812190 | + | 0.583393i | \(0.801725\pi\) | |||||||
\(884\) | −14.3941 | + | 17.1542i | −0.0162829 | + | 0.0194052i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 134.156 | + | 760.838i | 0.151418 | + | 0.858734i | ||||
\(887\) | 761.451 | + | 907.462i | 0.858457 | + | 1.02307i | 0.999453 | + | 0.0330591i | \(0.0105250\pi\) |
−0.140996 | + | 0.990010i | \(0.545031\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 88.4447 | − | 32.1913i | 0.0994879 | − | 0.0362106i | ||||
\(890\) | 1014.10i | 1.13944i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 119.839 | 0.134349 | ||||||||
\(893\) | 91.5626 | + | 251.566i | 0.102534 | + | 0.281709i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −66.8336 | + | 56.0801i | −0.0746745 | + | 0.0626593i | ||||
\(896\) | 10.0388 | − | 1.77011i | 0.0112040 | − | 0.00197557i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 740.987 | + | 621.762i | 0.825153 | + | 0.692385i | ||||
\(899\) | 2427.31 | + | 1401.41i | 2.70001 | + | 1.55885i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −309.992 | − | 536.922i | −0.344053 | − | 0.595917i | ||||
\(902\) | 771.978 | + | 136.121i | 0.855851 | + | 0.150910i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 324.288 | + | 118.031i | 0.358726 | + | 0.130565i | ||||
\(905\) | −510.371 | + | 1402.23i | −0.563946 | + | 1.54943i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 69.1106 | − | 391.946i | 0.0761969 | − | 0.432134i | −0.922714 | − | 0.385484i | \(-0.874034\pi\) |
0.998911 | − | 0.0466499i | \(-0.0148545\pi\) | |||||||
\(908\) | −110.283 | + | 63.6721i | −0.121457 | + | 0.0701235i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −4.53520 | + | 7.85519i | −0.00498373 | + | 0.00863208i | ||||
\(911\) | −521.570 | + | 621.583i | −0.572524 | + | 0.682308i | −0.972147 | − | 0.234372i | \(-0.924697\pi\) |
0.399623 | + | 0.916680i | \(0.369141\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.400064 | + | 2.26888i | 0.000438186 | + | 0.00248508i | ||||
\(914\) | −78.0167 | − | 92.9767i | −0.0853574 | − | 0.101725i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 402.423 | − | 146.470i | 0.439327 | − | 0.159902i | ||||
\(917\) | − | 0.823547i | − | 0.000898089i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1571.44 | 1.70994 | 0.854972 | − | 0.518674i | \(-0.173574\pi\) | ||||
0.854972 | + | 0.518674i | \(0.173574\pi\) | |||||||
\(920\) | −248.634 | − | 683.115i | −0.270254 | − | 0.742516i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 6.17477 | − | 5.18125i | 0.00669715 | − | 0.00561958i | ||||
\(923\) | 25.2732 | − | 4.45635i | 0.0273816 | − | 0.00482811i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −970.688 | − | 814.504i | −1.04939 | − | 0.880545i | ||||
\(926\) | −395.007 | − | 228.057i | −0.426574 | − | 0.246282i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −160.015 | − | 277.155i | −0.172430 | − | 0.298658i | ||||
\(929\) | 509.792 | + | 89.8902i | 0.548754 | + | 0.0967601i | 0.441149 | − | 0.897434i | \(-0.354571\pi\) |
0.107605 | + | 0.994194i | \(0.465682\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 489.607 | + | 178.202i | 0.525894 | + | 0.191410i | ||||
\(932\) | −147.460 | + | 405.143i | −0.158219 | + | 0.434703i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 9.29698 | − | 52.7258i | 0.00995394 | − | 0.0564516i | ||||
\(935\) | −1292.88 | + | 746.445i | −1.38276 | + | 0.798336i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −171.737 | + | 297.457i | −0.183284 | + | 0.317457i | −0.942997 | − | 0.332801i | \(-0.892006\pi\) |
0.759713 | + | 0.650259i | \(0.225339\pi\) | |||||||
\(938\) | −53.4193 | + | 63.6627i | −0.0569503 | + | 0.0678707i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 67.3387 | + | 381.897i | 0.0716369 | + | 0.406273i | ||||
\(941\) | 538.505 | + | 641.766i | 0.572269 | + | 0.682004i | 0.972095 | − | 0.234587i | \(-0.0753739\pi\) |
−0.399826 | + | 0.916591i | \(0.630929\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1104.53 | − | 402.017i | 1.17130 | − | 0.426317i | ||||
\(944\) | 266.905i | 0.282738i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 908.633 | 0.960500 | ||||||||
\(947\) | −493.939 | − | 1357.09i | −0.521583 | − | 1.43304i | −0.868757 | − | 0.495238i | \(-0.835081\pi\) |
0.347174 | − | 0.937801i | \(-0.387141\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 15.0076 | − | 12.5928i | 0.0158141 | − | 0.0132696i | ||||
\(950\) | −547.008 | + | 96.4524i | −0.575798 | + | 0.101529i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −24.0460 | − | 20.1770i | −0.0252584 | − | 0.0211943i | ||||
\(953\) | −1132.07 | − | 653.600i | −1.18790 | − | 0.685835i | −0.230072 | − | 0.973174i | \(-0.573896\pi\) |
−0.957829 | + | 0.287339i | \(0.907229\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −67.1300 | − | 116.273i | −0.0702932 | − | 0.121751i | ||||
\(956\) | 82.4092 | + | 14.5310i | 0.0862021 | + | 0.0151998i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −953.807 | − | 347.157i | −0.995623 | − | 0.362377i | ||||
\(959\) | −4.33049 | + | 11.8979i | −0.00451564 | + | 0.0124066i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 259.337 | − | 1470.77i | 0.269862 | − | 1.53046i | ||||
\(962\) | −38.8358 | + | 22.4218i | −0.0403698 | + | 0.0233075i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −448.318 | + | 776.509i | −0.465060 | + | 0.805508i | ||||
\(965\) | 776.025 | − | 924.831i | 0.804171 | − | 0.958374i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 117.727 | + | 667.665i | 0.121745 | + | 0.690450i | 0.983188 | + | 0.182596i | \(0.0584499\pi\) |
−0.861443 | + | 0.507854i | \(0.830439\pi\) | |||||||
\(968\) | −215.517 | − | 256.843i | −0.222642 | − | 0.265334i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1045.80 | + | 380.640i | −1.07814 | + | 0.392412i | ||||
\(971\) | − | 172.492i | − | 0.177644i | −0.996048 | − | 0.0888219i | \(-0.971690\pi\) | ||
0.996048 | − | 0.0888219i | \(-0.0283102\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −167.699 | −0.172353 | ||||||||
\(974\) | 25.2272 | + | 69.3112i | 0.0259006 | + | 0.0711614i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −75.1571 | + | 63.0643i | −0.0770052 | + | 0.0646150i | ||||
\(977\) | 1622.94 | − | 286.168i | 1.66115 | − | 0.292905i | 0.737271 | − | 0.675597i | \(-0.236114\pi\) |
0.923876 | + | 0.382692i | \(0.125003\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1085.65 | + | 910.971i | 1.10894 | + | 0.930511i | ||||
\(980\) | 653.613 | + | 377.363i | 0.666952 | + | 0.385065i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −55.8698 | − | 96.7693i | −0.0568938 | − | 0.0985430i | ||||
\(983\) | −764.198 | − | 134.749i | −0.777414 | − | 0.137079i | −0.229157 | − | 0.973389i | \(-0.573597\pi\) |
−0.548256 | + | 0.836310i | \(0.684708\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −911.010 | − | 331.580i | −0.924883 | − | 0.336630i | ||||
\(986\) | −337.056 | + | 926.054i | −0.341842 | + | 0.939202i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −3.41341 | + | 19.3584i | −0.00345487 | + | 0.0195935i | ||||
\(989\) | 1179.93 | − | 681.235i | 1.19306 | − | 0.688812i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −191.688 | + | 332.014i | −0.193429 | + | 0.335029i | −0.946384 | − | 0.323043i | \(-0.895294\pi\) |
0.752955 | + | 0.658072i | \(0.228628\pi\) | |||||||
\(992\) | −180.144 | + | 214.688i | −0.181597 | + | 0.216419i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 6.24671 | + | 35.4269i | 0.00628442 | + | 0.0356407i | ||||
\(995\) | −1180.29 | − | 1406.61i | −1.18622 | − | 1.41368i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −1455.50 | + | 529.759i | −1.45988 | + | 0.531353i | −0.945333 | − | 0.326108i | \(-0.894263\pi\) |
−0.514549 | + | 0.857461i | \(0.672041\pi\) | |||||||
\(998\) | 42.1265i | 0.0422109i | ||||||||
\(999\) | 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.143.6 | 36 | ||
3.2 | odd | 2 | 54.3.f.a.47.1 | yes | 36 | ||
12.11 | even | 2 | 432.3.bc.c.209.6 | 36 | |||
27.2 | odd | 18 | 1458.3.b.c.1457.34 | 36 | |||
27.4 | even | 9 | 54.3.f.a.23.1 | ✓ | 36 | ||
27.23 | odd | 18 | inner | 162.3.f.a.17.6 | 36 | ||
27.25 | even | 9 | 1458.3.b.c.1457.3 | 36 | |||
108.31 | odd | 18 | 432.3.bc.c.401.6 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
54.3.f.a.23.1 | ✓ | 36 | 27.4 | even | 9 | ||
54.3.f.a.47.1 | yes | 36 | 3.2 | odd | 2 | ||
162.3.f.a.17.6 | 36 | 27.23 | odd | 18 | inner | ||
162.3.f.a.143.6 | 36 | 1.1 | even | 1 | trivial | ||
432.3.bc.c.209.6 | 36 | 12.11 | even | 2 | |||
432.3.bc.c.401.6 | 36 | 108.31 | odd | 18 | |||
1458.3.b.c.1457.3 | 36 | 27.25 | even | 9 | |||
1458.3.b.c.1457.34 | 36 | 27.2 | odd | 18 |