Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [297,2,Mod(37,297)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(297, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("297.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 297 = 3^{3} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 297.n (of order \(15\), degree \(8\), 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: | \(2.37155694003\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{15})\) |
Twist minimal: | no (minimal twist has level 99) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 289.8 | ||
Character | \(\chi\) | \(=\) | 297.289 |
Dual form | 297.2.n.b.37.8 |
$q$-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 \(\left(\mathbb{Z}/297\mathbb{Z}\right)^\times\).
\(n\) | \(56\) | \(244\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.161615 | + | 1.53767i | 0.114279 | + | 1.08729i | 0.889919 | + | 0.456119i | \(0.150761\pi\) |
−0.775640 | + | 0.631176i | \(0.782573\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.382004 | + | 0.0811974i | −0.191002 | + | 0.0405987i | ||||
\(5\) | 0.0618842 | − | 0.588789i | 0.0276755 | − | 0.263314i | −0.971931 | − | 0.235266i | \(-0.924404\pi\) |
0.999607 | − | 0.0280487i | \(-0.00892935\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.483079 | + | 0.536514i | 0.182587 | + | 0.202783i | 0.827489 | − | 0.561482i | \(-0.189769\pi\) |
−0.644902 | + | 0.764265i | \(0.723102\pi\) | |||||||
\(8\) | 0.768973 | + | 2.36665i | 0.271873 | + | 0.836739i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.915362 | 0.289463 | ||||||||
\(11\) | 2.56419 | + | 2.10355i | 0.773134 | + | 0.634243i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.43880 | − | 0.640596i | −0.399052 | − | 0.177669i | 0.197391 | − | 0.980325i | \(-0.436753\pi\) |
−0.596443 | + | 0.802656i | \(0.703420\pi\) | |||||||
\(14\) | −0.746906 | + | 0.829524i | −0.199619 | + | 0.221699i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −4.22840 | + | 1.88260i | −1.05710 | + | 0.470651i | ||||
\(17\) | 3.71501 | + | 2.69911i | 0.901022 | + | 0.654631i | 0.938728 | − | 0.344658i | \(-0.112005\pi\) |
−0.0377065 | + | 0.999289i | \(0.512005\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.775200 | + | 2.38582i | 0.177843 | + | 0.547345i | 0.999752 | − | 0.0222743i | \(-0.00709072\pi\) |
−0.821909 | + | 0.569619i | \(0.807091\pi\) | |||||||
\(20\) | 0.0241681 | + | 0.229944i | 0.00540416 | + | 0.0514171i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.82014 | + | 4.28284i | −0.601256 | + | 0.913105i | ||||
\(23\) | −2.22600 | − | 3.85554i | −0.464153 | − | 0.803937i | 0.535010 | − | 0.844846i | \(-0.320308\pi\) |
−0.999163 | + | 0.0409092i | \(0.986975\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.54790 | + | 0.966685i | 0.909579 | + | 0.193337i | ||||
\(26\) | 0.752490 | − | 2.31593i | 0.147576 | − | 0.454191i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.228102 | − | 0.165726i | −0.0431072 | − | 0.0313192i | ||||
\(29\) | −4.66961 | − | 5.18613i | −0.867125 | − | 0.963039i | 0.132479 | − | 0.991186i | \(-0.457706\pi\) |
−0.999604 | + | 0.0281463i | \(0.991040\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −8.33906 | − | 3.71279i | −1.49774 | − | 0.666837i | −0.515917 | − | 0.856638i | \(-0.672549\pi\) |
−0.981822 | + | 0.189802i | \(0.939216\pi\) | |||||||
\(32\) | −1.08974 | − | 1.88749i | −0.192641 | − | 0.333664i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.54993 | + | 6.14866i | −0.608808 | + | 1.05449i | ||||
\(35\) | 0.345788 | − | 0.251230i | 0.0584489 | − | 0.0424656i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.893583 | − | 2.75017i | 0.146904 | − | 0.452125i | −0.850347 | − | 0.526223i | \(-0.823608\pi\) |
0.997251 | + | 0.0740981i | \(0.0236078\pi\) | |||||||
\(38\) | −3.54331 | + | 1.57758i | −0.574801 | + | 0.255918i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.44105 | − | 0.306304i | 0.227850 | − | 0.0484309i | ||||
\(41\) | 0.772257 | − | 0.857678i | 0.120606 | − | 0.133947i | −0.679818 | − | 0.733381i | \(-0.737941\pi\) |
0.800424 | + | 0.599434i | \(0.204608\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.10724 | − | 3.64985i | 0.321351 | − | 0.556596i | −0.659416 | − | 0.751778i | \(-0.729196\pi\) |
0.980767 | + | 0.195182i | \(0.0625297\pi\) | |||||||
\(44\) | −1.15033 | − | 0.595357i | −0.173419 | − | 0.0897534i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 5.56879 | − | 4.04596i | 0.821073 | − | 0.596544i | ||||
\(47\) | −0.222583 | − | 0.0473114i | −0.0324670 | − | 0.00690108i | 0.191650 | − | 0.981463i | \(-0.438616\pi\) |
−0.224117 | + | 0.974562i | \(0.571950\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.677218 | − | 6.44330i | 0.0967454 | − | 0.920471i | ||||
\(50\) | −0.751430 | + | 7.14938i | −0.106268 | + | 1.01107i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.601643 | + | 0.127883i | 0.0834328 | + | 0.0177342i | ||||
\(53\) | −4.61430 | + | 3.35249i | −0.633823 | + | 0.460500i | −0.857723 | − | 0.514113i | \(-0.828121\pi\) |
0.223899 | + | 0.974612i | \(0.428121\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.39723 | − | 1.37959i | 0.188402 | − | 0.186024i | ||||
\(56\) | −0.898268 | + | 1.55585i | −0.120036 | + | 0.207909i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 7.21985 | − | 8.01846i | 0.948013 | − | 1.05288i | ||||
\(59\) | 6.97767 | − | 1.48315i | 0.908415 | − | 0.193090i | 0.270071 | − | 0.962841i | \(-0.412953\pi\) |
0.638344 | + | 0.769751i | \(0.279620\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.16481 | − | 1.85429i | 0.533250 | − | 0.237418i | −0.122403 | − | 0.992480i | \(-0.539060\pi\) |
0.655653 | + | 0.755062i | \(0.272393\pi\) | |||||||
\(62\) | 4.36131 | − | 13.4227i | 0.553887 | − | 1.70469i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.76295 | + | 3.46049i | −0.595369 | + | 0.432561i | ||||
\(65\) | −0.466215 | + | 0.807507i | −0.0578268 | + | 0.100159i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.04571 | + | 7.00738i | 0.494262 | + | 0.856087i | 0.999978 | − | 0.00661279i | \(-0.00210493\pi\) |
−0.505716 | + | 0.862700i | \(0.668772\pi\) | |||||||
\(68\) | −1.63831 | − | 0.729422i | −0.198674 | − | 0.0884554i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.442192 | + | 0.491104i | 0.0528521 | + | 0.0586982i | ||||
\(71\) | −9.95852 | − | 7.23528i | −1.18186 | − | 0.858670i | −0.189478 | − | 0.981885i | \(-0.560680\pi\) |
−0.992380 | + | 0.123215i | \(0.960680\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.78461 | − | 14.7255i | 0.559996 | − | 1.72349i | −0.122373 | − | 0.992484i | \(-0.539050\pi\) |
0.682370 | − | 0.731007i | \(-0.260950\pi\) | |||||||
\(74\) | 4.37326 | + | 0.929564i | 0.508381 | + | 0.108060i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.489852 | − | 0.848448i | −0.0561899 | − | 0.0973237i | ||||
\(77\) | 0.110128 | + | 2.39191i | 0.0125502 | + | 0.272583i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.52816 | + | 14.5395i | 0.171931 | + | 1.63582i | 0.651738 | + | 0.758444i | \(0.274040\pi\) |
−0.479807 | + | 0.877374i | \(0.659293\pi\) | |||||||
\(80\) | 0.846785 | + | 2.60614i | 0.0946734 | + | 0.291375i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.44363 | + | 1.04886i | 0.159422 | + | 0.115827i | ||||
\(83\) | 6.35188 | − | 2.82804i | 0.697210 | − | 0.310418i | −0.0273537 | − | 0.999626i | \(-0.508708\pi\) |
0.724564 | + | 0.689208i | \(0.242041\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.81911 | − | 2.02032i | 0.197310 | − | 0.219135i | ||||
\(86\) | 5.95281 | + | 2.65036i | 0.641908 | + | 0.285796i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.00657 | + | 7.68613i | −0.320502 | + | 0.819344i | ||||
\(89\) | −12.4803 | −1.32291 | −0.661453 | − | 0.749986i | \(-0.730060\pi\) | ||||
−0.661453 | + | 0.749986i | \(0.730060\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.351367 | − | 1.08140i | −0.0368332 | − | 0.113361i | ||||
\(92\) | 1.16340 | + | 1.29209i | 0.121293 | + | 0.134709i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.0367764 | − | 0.349904i | 0.00379320 | − | 0.0360899i | ||||
\(95\) | 1.45272 | − | 0.308785i | 0.149046 | − | 0.0316806i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.48226 | − | 14.1028i | −0.150501 | − | 1.43192i | −0.765522 | − | 0.643410i | \(-0.777519\pi\) |
0.615021 | − | 0.788511i | \(-0.289148\pi\) | |||||||
\(98\) | 10.0171 | 1.01188 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.81581 | −0.181581 | ||||||||
\(101\) | −1.50192 | − | 14.2898i | −0.149447 | − | 1.42189i | −0.770159 | − | 0.637852i | \(-0.779823\pi\) |
0.620712 | − | 0.784039i | \(-0.286844\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.33207 | − | 0.920810i | 0.426852 | − | 0.0907301i | 0.0105237 | − | 0.999945i | \(-0.496650\pi\) |
0.416328 | + | 0.909214i | \(0.363317\pi\) | |||||||
\(104\) | 0.409670 | − | 3.89775i | 0.0401714 | − | 0.382206i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −5.90075 | − | 6.55345i | −0.573132 | − | 0.636527i | ||||
\(107\) | 4.86529 | + | 14.9738i | 0.470345 | + | 1.44757i | 0.852134 | + | 0.523324i | \(0.175308\pi\) |
−0.381788 | + | 0.924250i | \(0.624692\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −13.6970 | −1.31194 | −0.655969 | − | 0.754788i | \(-0.727740\pi\) | ||||
−0.655969 | + | 0.754788i | \(0.727740\pi\) | |||||||
\(110\) | 2.34717 | + | 1.92551i | 0.223794 | + | 0.183590i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.05269 | − | 1.35915i | −0.288452 | − | 0.128427i | ||||
\(113\) | −5.37321 | + | 5.96755i | −0.505469 | + | 0.561380i | −0.940831 | − | 0.338875i | \(-0.889954\pi\) |
0.435363 | + | 0.900255i | \(0.356620\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.40786 | + | 1.07205i | −0.224534 | + | 0.0999688i | ||||
\(116\) | 2.20491 | + | 1.60196i | 0.204721 | + | 0.148738i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.40829 | + | 10.4896i | 0.313758 | + | 0.965648i | ||||
\(119\) | 0.346533 | + | 3.29704i | 0.0317666 | + | 0.302239i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.15019 | + | 10.7878i | 0.195472 | + | 0.980709i | ||||
\(122\) | 3.52438 | + | 6.10441i | 0.319083 | + | 0.552668i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 3.48702 | + | 0.741190i | 0.313144 | + | 0.0665608i | ||||
\(125\) | 1.76536 | − | 5.43321i | 0.157898 | − | 0.485961i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 9.70522 | + | 7.05126i | 0.861199 | + | 0.625698i | 0.928211 | − | 0.372054i | \(-0.121347\pi\) |
−0.0670118 | + | 0.997752i | \(0.521347\pi\) | |||||||
\(128\) | −9.00756 | − | 10.0039i | −0.796163 | − | 0.884229i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.31702 | − | 0.586377i | −0.115511 | − | 0.0514287i | ||||
\(131\) | −3.44555 | − | 5.96786i | −0.301039 | − | 0.521414i | 0.675333 | − | 0.737513i | \(-0.264000\pi\) |
−0.976372 | + | 0.216099i | \(0.930667\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.905543 | + | 1.56845i | −0.0785205 | + | 0.136002i | ||||
\(134\) | −10.1212 | + | 7.35345i | −0.874335 | + | 0.635242i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.53112 | + | 10.8677i | −0.302791 | + | 0.931896i | ||||
\(137\) | −8.44714 | + | 3.76091i | −0.721688 | + | 0.321316i | −0.734507 | − | 0.678602i | \(-0.762586\pi\) |
0.0128184 | + | 0.999918i | \(0.495920\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −21.1390 | + | 4.49324i | −1.79299 | + | 0.381112i | −0.979656 | − | 0.200685i | \(-0.935683\pi\) |
−0.813334 | + | 0.581797i | \(0.802350\pi\) | |||||||
\(140\) | −0.111693 | + | 0.124048i | −0.00943980 | + | 0.0104840i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 9.51601 | − | 16.4822i | 0.798566 | − | 1.38316i | ||||
\(143\) | −2.34184 | − | 4.66920i | −0.195835 | − | 0.390458i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −3.34251 | + | 2.42847i | −0.277580 | + | 0.201674i | ||||
\(146\) | 23.4162 | + | 4.97727i | 1.93794 | + | 0.411922i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.118046 | + | 1.12313i | −0.00970331 | + | 0.0923208i | ||||
\(149\) | −0.119835 | + | 1.14015i | −0.00981725 | + | 0.0934049i | −0.998333 | − | 0.0577107i | \(-0.981620\pi\) |
0.988516 | + | 0.151116i | \(0.0482866\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.861396 | − | 0.183095i | −0.0700994 | − | 0.0149001i | 0.172728 | − | 0.984969i | \(-0.444742\pi\) |
−0.242828 | + | 0.970069i | \(0.578075\pi\) | |||||||
\(152\) | −5.05031 | + | 3.66926i | −0.409634 | + | 0.297616i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.66015 | + | 0.555908i | −0.294944 | + | 0.0447963i | ||||
\(155\) | −2.70211 | + | 4.68018i | −0.217038 | + | 0.375921i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −6.54825 | + | 7.27257i | −0.522608 | + | 0.580415i | −0.945441 | − | 0.325793i | \(-0.894369\pi\) |
0.422834 | + | 0.906207i | \(0.361035\pi\) | |||||||
\(158\) | −22.1099 | + | 4.69960i | −1.75897 | + | 0.373880i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.17877 | + | 0.524822i | −0.0931899 | + | 0.0414908i | ||||
\(161\) | 0.993219 | − | 3.05681i | 0.0782766 | − | 0.240911i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.74555 | + | 2.72130i | −0.293374 | + | 0.213149i | −0.724730 | − | 0.689033i | \(-0.758035\pi\) |
0.431355 | + | 0.902182i | \(0.358035\pi\) | |||||||
\(164\) | −0.225364 | + | 0.390342i | −0.0175980 | + | 0.0304806i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.37515 | + | 9.31002i | 0.417192 | + | 0.722598i | ||||
\(167\) | 15.5187 | + | 6.90939i | 1.20088 | + | 0.534665i | 0.906980 | − | 0.421173i | \(-0.138381\pi\) |
0.293896 | + | 0.955837i | \(0.405048\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.03891 | − | 7.81750i | −0.541455 | − | 0.601346i | ||||
\(170\) | 3.40058 | + | 2.47066i | 0.260812 | + | 0.189491i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.508616 | + | 1.56536i | −0.0387816 | + | 0.119357i | ||||
\(173\) | −0.578140 | − | 0.122887i | −0.0439551 | − | 0.00934296i | 0.185882 | − | 0.982572i | \(-0.440486\pi\) |
−0.229837 | + | 0.973229i | \(0.573819\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.67835 | + | 2.90699i | 0.126872 | + | 0.219748i | ||||
\(176\) | −14.8026 | − | 4.06727i | −1.11579 | − | 0.306582i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.01700 | − | 19.1905i | −0.151181 | − | 1.43839i | ||||
\(179\) | 2.97921 | + | 9.16907i | 0.222677 | + | 0.685328i | 0.998519 | + | 0.0544017i | \(0.0173251\pi\) |
−0.775842 | + | 0.630927i | \(0.782675\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.85243 | + | 2.79896i | 0.286349 | + | 0.208045i | 0.721682 | − | 0.692225i | \(-0.243369\pi\) |
−0.435333 | + | 0.900270i | \(0.643369\pi\) | |||||||
\(182\) | 1.60604 | − | 0.715055i | 0.119048 | − | 0.0530034i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 7.41301 | − | 8.23298i | 0.546494 | − | 0.606943i | ||||
\(185\) | −1.56397 | − | 0.696324i | −0.114985 | − | 0.0511947i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.84830 | + | 14.7357i | 0.281415 | + | 1.07758i | ||||
\(188\) | 0.0888691 | 0.00648144 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.709589 | + | 2.18389i | 0.0514790 | + | 0.158436i | ||||
\(191\) | 3.47816 | + | 3.86289i | 0.251671 | + | 0.279509i | 0.855721 | − | 0.517438i | \(-0.173114\pi\) |
−0.604050 | + | 0.796946i | \(0.706447\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.341604 | + | 3.25014i | −0.0245892 | + | 0.233950i | 0.975324 | + | 0.220778i | \(0.0708597\pi\) |
−0.999913 | + | 0.0131723i | \(0.995807\pi\) | |||||||
\(194\) | 21.4458 | − | 4.55845i | 1.53972 | − | 0.327278i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.264479 | + | 2.51635i | 0.0188914 | + | 0.179739i | ||||
\(197\) | 22.4626 | 1.60039 | 0.800197 | − | 0.599737i | \(-0.204728\pi\) | ||||
0.800197 | + | 0.599737i | \(0.204728\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −20.8291 | −1.47654 | −0.738269 | − | 0.674507i | \(-0.764356\pi\) | ||||
−0.738269 | + | 0.674507i | \(0.764356\pi\) | |||||||
\(200\) | 1.20940 | + | 11.5067i | 0.0855173 | + | 0.813643i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 21.7303 | − | 4.61891i | 1.52894 | − | 0.324985i | ||||
\(203\) | 0.526637 | − | 5.01062i | 0.0369627 | − | 0.351677i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.457201 | − | 0.507773i | −0.0319323 | − | 0.0354644i | ||||
\(206\) | 2.11603 | + | 6.51246i | 0.147431 | + | 0.453745i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 7.28981 | 0.505457 | ||||||||
\(209\) | −3.03092 | + | 7.74838i | −0.209653 | + | 0.535966i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.09877 | + | 1.37966i | 0.213328 | + | 0.0949797i | 0.510619 | − | 0.859807i | \(-0.329416\pi\) |
−0.297291 | + | 0.954787i | \(0.596083\pi\) | |||||||
\(212\) | 1.49047 | − | 1.65533i | 0.102366 | − | 0.113689i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −22.2384 | + | 9.90119i | −1.52019 | + | 0.676831i | ||||
\(215\) | −2.01858 | − | 1.46659i | −0.137666 | − | 0.100020i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.03646 | − | 6.26759i | −0.138244 | − | 0.425472i | ||||
\(218\) | −2.21365 | − | 21.0615i | −0.149927 | − | 1.42646i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.421727 | + | 0.640461i | −0.0284328 | + | 0.0431799i | ||||
\(221\) | −3.61612 | − | 6.26330i | −0.243247 | − | 0.421315i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 10.7854 | + | 2.29252i | 0.722246 | + | 0.153518i | 0.554347 | − | 0.832286i | \(-0.312968\pi\) |
0.167900 | + | 0.985804i | \(0.446302\pi\) | |||||||
\(224\) | 0.486232 | − | 1.49647i | 0.0324877 | − | 0.0999870i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −10.0445 | − | 7.29775i | −0.668150 | − | 0.485439i | ||||
\(227\) | 3.99263 | + | 4.43426i | 0.265000 | + | 0.294312i | 0.860929 | − | 0.508725i | \(-0.169883\pi\) |
−0.595929 | + | 0.803037i | \(0.703216\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 22.6109 | + | 10.0670i | 1.49417 | + | 0.665246i | 0.981171 | − | 0.193144i | \(-0.0618683\pi\) |
0.512998 | + | 0.858390i | \(0.328535\pi\) | |||||||
\(230\) | −2.03760 | − | 3.52922i | −0.134355 | − | 0.232710i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 8.68297 | − | 15.0393i | 0.570065 | − | 0.987381i | ||||
\(233\) | 3.38850 | − | 2.46189i | 0.221988 | − | 0.161284i | −0.471233 | − | 0.882009i | \(-0.656191\pi\) |
0.693221 | + | 0.720725i | \(0.256191\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.0416308 | + | 0.128126i | −0.00271569 | + | 0.00835805i | ||||
\(236\) | −2.54507 | + | 1.13314i | −0.165670 | + | 0.0737610i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −5.01374 | + | 1.06570i | −0.324992 | + | 0.0690793i | ||||
\(239\) | 4.93340 | − | 5.47909i | 0.319115 | − | 0.354413i | −0.562150 | − | 0.827035i | \(-0.690026\pi\) |
0.881265 | + | 0.472622i | \(0.156692\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.41462 | − | 7.64634i | 0.284371 | − | 0.492544i | −0.688086 | − | 0.725629i | \(-0.741549\pi\) |
0.972456 | + | 0.233085i | \(0.0748821\pi\) | |||||||
\(242\) | −16.2405 | + | 5.04975i | −1.04398 | + | 0.324610i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.44041 | + | 1.04652i | −0.0922129 | + | 0.0669966i | ||||
\(245\) | −3.75183 | − | 0.797476i | −0.239696 | − | 0.0509489i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.412987 | − | 3.92931i | 0.0262778 | − | 0.250016i | ||||
\(248\) | 2.37438 | − | 22.5907i | 0.150773 | − | 1.43451i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 8.63977 | + | 1.83644i | 0.546427 | + | 0.116147i | ||||
\(251\) | 16.6439 | − | 12.0925i | 1.05056 | − | 0.763274i | 0.0782385 | − | 0.996935i | \(-0.475070\pi\) |
0.972318 | + | 0.233661i | \(0.0750704\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 2.40242 | − | 14.5689i | 0.151039 | − | 0.915936i | ||||
\(254\) | −9.27397 | + | 16.0630i | −0.581901 | + | 1.00788i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 6.04813 | − | 6.71713i | 0.378008 | − | 0.419820i | ||||
\(257\) | −3.30847 | + | 0.703238i | −0.206377 | + | 0.0438668i | −0.309940 | − | 0.950756i | \(-0.600309\pi\) |
0.103563 | + | 0.994623i | \(0.466976\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.90717 | − | 0.849129i | 0.118506 | − | 0.0527623i | ||||
\(260\) | 0.112528 | − | 0.346326i | 0.00697871 | − | 0.0214783i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.61973 | − | 6.26260i | 0.532528 | − | 0.386905i | ||||
\(263\) | −7.14112 | + | 12.3688i | −0.440341 | + | 0.762692i | −0.997715 | − | 0.0675692i | \(-0.978476\pi\) |
0.557374 | + | 0.830262i | \(0.311809\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.68836 | + | 2.92432i | 0.103715 | + | 0.179639i | ||||
\(266\) | −2.55810 | − | 1.13894i | −0.156847 | − | 0.0698328i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −2.11446 | − | 2.34834i | −0.129161 | − | 0.143448i | ||||
\(269\) | 5.43693 | + | 3.95016i | 0.331495 | + | 0.240845i | 0.741065 | − | 0.671433i | \(-0.234321\pi\) |
−0.409570 | + | 0.912279i | \(0.634321\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −1.23000 | + | 3.78554i | −0.0747170 | + | 0.229955i | −0.981439 | − | 0.191773i | \(-0.938576\pi\) |
0.906722 | + | 0.421728i | \(0.138576\pi\) | |||||||
\(272\) | −20.7899 | − | 4.41903i | −1.26057 | − | 0.267943i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.14821 | − | 12.3811i | −0.431839 | − | 0.747968i | ||||
\(275\) | 9.62822 | + | 12.0455i | 0.580604 | + | 0.726370i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.37267 | + | 13.0601i | 0.0824756 | + | 0.784703i | 0.955094 | + | 0.296301i | \(0.0957533\pi\) |
−0.872619 | + | 0.488402i | \(0.837580\pi\) | |||||||
\(278\) | −10.3255 | − | 31.7786i | −0.619282 | − | 1.90595i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.860476 | + | 0.625172i | 0.0514233 | + | 0.0373612i | ||||
\(281\) | 2.71128 | − | 1.20714i | 0.161742 | − | 0.0720120i | −0.324269 | − | 0.945965i | \(-0.605118\pi\) |
0.486011 | + | 0.873953i | \(0.338452\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.41512 | − | 6.01410i | 0.321896 | − | 0.357501i | −0.560379 | − | 0.828236i | \(-0.689345\pi\) |
0.882275 | + | 0.470735i | \(0.156011\pi\) | |||||||
\(284\) | 4.39168 | + | 1.95530i | 0.260598 | + | 0.116026i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 6.80119 | − | 4.35559i | 0.402163 | − | 0.257551i | ||||
\(287\) | 0.833217 | 0.0491833 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.26279 | + | 3.88648i | 0.0742820 | + | 0.228616i | ||||
\(290\) | −4.27438 | − | 4.74718i | −0.251000 | − | 0.278764i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.632066 | + | 6.01370i | −0.0369888 | + | 0.351925i | ||||
\(293\) | −15.3722 | + | 3.26745i | −0.898051 | + | 0.190887i | −0.633736 | − | 0.773550i | \(-0.718479\pi\) |
−0.264315 | + | 0.964436i | \(0.585146\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.441454 | − | 4.20016i | −0.0257025 | − | 0.244543i | ||||
\(296\) | 7.19584 | 0.418249 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −1.77254 | −0.102681 | ||||||||
\(299\) | 0.732926 | + | 6.97333i | 0.0423862 | + | 0.403278i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.97616 | − | 0.632602i | 0.171543 | − | 0.0364626i | ||||
\(302\) | 0.142325 | − | 1.35413i | 0.00818988 | − | 0.0779215i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −7.76941 | − | 8.62880i | −0.445606 | − | 0.494896i | ||||
\(305\) | −0.834052 | − | 2.56695i | −0.0477577 | − | 0.146983i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.51315 | −0.200506 | −0.100253 | − | 0.994962i | \(-0.531965\pi\) | ||||
−0.100253 | + | 0.994962i | \(0.531965\pi\) | |||||||
\(308\) | −0.236286 | − | 0.904775i | −0.0134636 | − | 0.0515543i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −7.63326 | − | 3.39855i | −0.433540 | − | 0.193025i | ||||
\(311\) | −17.6212 | + | 19.5703i | −0.999205 | + | 1.10973i | −0.00524459 | + | 0.999986i | \(0.501669\pi\) |
−0.993960 | + | 0.109743i | \(0.964997\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.24836 | + | 1.00104i | −0.127085 | + | 0.0565819i | −0.469294 | − | 0.883042i | \(-0.655492\pi\) |
0.342209 | + | 0.939624i | \(0.388825\pi\) | |||||||
\(314\) | −12.2411 | − | 8.89367i | −0.690805 | − | 0.501899i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.76433 | − | 5.43005i | −0.0992513 | − | 0.305464i | ||||
\(317\) | −2.77075 | − | 26.3619i | −0.155621 | − | 1.48063i | −0.741892 | − | 0.670519i | \(-0.766071\pi\) |
0.586271 | − | 0.810115i | \(-0.300595\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.06453 | − | 23.1210i | −0.0596023 | − | 1.29453i | ||||
\(320\) | 1.74274 | + | 3.01852i | 0.0974224 | + | 0.168741i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 4.86088 | + | 1.03321i | 0.270886 | + | 0.0575786i | ||||
\(323\) | −3.55972 | + | 10.9557i | −0.198068 | + | 0.609591i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.92427 | − | 4.30423i | −0.328619 | − | 0.238756i | ||||
\(326\) | −4.78980 | − | 5.31961i | −0.265282 | − | 0.294626i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.62367 | + | 1.16813i | 0.144868 | + | 0.0644994i | ||||
\(329\) | −0.0821419 | − | 0.142274i | −0.00452863 | − | 0.00784382i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.05198 | + | 7.01824i | −0.222717 | + | 0.385757i | −0.955632 | − | 0.294563i | \(-0.904826\pi\) |
0.732915 | + | 0.680320i | \(0.238159\pi\) | |||||||
\(332\) | −2.19681 | + | 1.59608i | −0.120566 | + | 0.0875962i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −8.11627 | + | 24.9793i | −0.444103 | + | 1.36681i | ||||
\(335\) | 4.37623 | − | 1.94842i | 0.239099 | − | 0.106454i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −24.1804 | + | 5.13971i | −1.31719 | + | 0.279978i | −0.812318 | − | 0.583215i | \(-0.801794\pi\) |
−0.504874 | + | 0.863193i | \(0.668461\pi\) | |||||||
\(338\) | 10.8831 | − | 12.0869i | 0.591964 | − | 0.657442i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.530861 | + | 0.919478i | −0.0287900 | + | 0.0498657i | ||||
\(341\) | −13.5730 | − | 27.0619i | −0.735017 | − | 1.46549i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.87256 | − | 5.71975i | 0.425078 | − | 0.308837i | ||||
\(344\) | 10.2583 | + | 2.18048i | 0.553092 | + | 0.117563i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.0955236 | − | 0.908847i | 0.00513538 | − | 0.0488599i | ||||
\(347\) | −0.216337 | + | 2.05831i | −0.0116136 | + | 0.110496i | −0.998793 | − | 0.0491192i | \(-0.984359\pi\) |
0.987179 | + | 0.159615i | \(0.0510252\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.10032 | + | 1.08411i | 0.273014 | + | 0.0580309i | 0.342384 | − | 0.939560i | \(-0.388766\pi\) |
−0.0693701 | + | 0.997591i | \(0.522099\pi\) | |||||||
\(350\) | −4.19874 | + | 3.05056i | −0.224432 | + | 0.163059i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.17611 | − | 7.13221i | 0.0626868 | − | 0.380148i | ||||
\(353\) | 10.8363 | − | 18.7689i | 0.576756 | − | 0.998970i | −0.419093 | − | 0.907943i | \(-0.637652\pi\) |
0.995848 | − | 0.0910266i | \(-0.0290148\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.87633 | + | 5.41571i | −0.258809 | + | 0.287436i | ||||
\(356\) | 4.76751 | − | 1.01337i | 0.252678 | − | 0.0537083i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −13.6175 | + | 6.06290i | −0.719706 | + | 0.320434i | ||||
\(359\) | −2.70478 | + | 8.32446i | −0.142753 | + | 0.439348i | −0.996715 | − | 0.0809868i | \(-0.974193\pi\) |
0.853962 | + | 0.520335i | \(0.174193\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.2801 | − | 7.46894i | 0.541059 | − | 0.393102i | ||||
\(362\) | −3.68125 | + | 6.37611i | −0.193482 | + | 0.335121i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.222030 | + | 0.384567i | 0.0116375 | + | 0.0201568i | ||||
\(365\) | −8.37413 | − | 3.72840i | −0.438322 | − | 0.195153i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −4.52749 | − | 5.02829i | −0.236333 | − | 0.262474i | 0.613298 | − | 0.789851i | \(-0.289842\pi\) |
−0.849631 | + | 0.527377i | \(0.823176\pi\) | |||||||
\(368\) | 16.6709 | + | 12.1121i | 0.869029 | + | 0.631387i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.817952 | − | 2.51740i | 0.0425233 | − | 0.130873i | ||||
\(371\) | −4.02773 | − | 0.856121i | −0.209109 | − | 0.0444476i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.9467 | + | 18.9602i | 0.566797 | + | 0.981722i | 0.996880 | + | 0.0789323i | \(0.0251511\pi\) |
−0.430083 | + | 0.902790i | \(0.641516\pi\) | |||||||
\(374\) | −22.0367 | + | 8.29892i | −1.13949 | + | 0.429127i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.0591903 | − | 0.563158i | −0.00305251 | − | 0.0290426i | ||||
\(377\) | 3.39643 | + | 10.4531i | 0.174925 | + | 0.538364i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 27.3639 | + | 19.8810i | 1.40559 | + | 1.02122i | 0.993946 | + | 0.109873i | \(0.0350445\pi\) |
0.411642 | + | 0.911346i | \(0.364955\pi\) | |||||||
\(380\) | −0.529871 | + | 0.235914i | −0.0271818 | + | 0.0121021i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.37771 | + | 5.97255i | −0.275147 | + | 0.305582i | ||||
\(383\) | 16.7854 | + | 7.47333i | 0.857693 | + | 0.381869i | 0.787982 | − | 0.615698i | \(-0.211126\pi\) |
0.0697105 | + | 0.997567i | \(0.477792\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.41514 | + | 0.0831793i | 0.0721223 | + | 0.00423921i | ||||
\(386\) | −5.05284 | −0.257183 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.71134 | + | 5.26696i | 0.0868801 | + | 0.267390i | ||||
\(389\) | 20.6136 | + | 22.8937i | 1.04515 | + | 1.16076i | 0.986714 | + | 0.162467i | \(0.0519450\pi\) |
0.0584370 | + | 0.998291i | \(0.481388\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.13694 | − | 20.3316i | 0.108070 | − | 1.02821i | ||||
\(392\) | 15.7698 | − | 3.35198i | 0.796496 | − | 0.169300i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 3.63030 | + | 34.5400i | 0.182892 | + | 1.74010i | ||||
\(395\) | 8.65524 | 0.435493 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.29578 | −0.416353 | −0.208177 | − | 0.978091i | \(-0.566753\pi\) | ||||
−0.208177 | + | 0.978091i | \(0.566753\pi\) | |||||||
\(398\) | −3.36630 | − | 32.0282i | −0.168738 | − | 1.60543i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −21.0502 | + | 4.47436i | −1.05251 | + | 0.223718i | ||||
\(401\) | −0.411175 | + | 3.91207i | −0.0205331 | + | 0.195360i | −0.999980 | − | 0.00634326i | \(-0.997981\pi\) |
0.979447 | + | 0.201703i | \(0.0646475\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.61986 | + | 10.6839i | 0.479199 | + | 0.532205i | ||||
\(404\) | 1.73404 | + | 5.33682i | 0.0862716 | + | 0.265517i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 7.78977 | 0.386600 | ||||||||
\(407\) | 8.07642 | − | 5.17227i | 0.400333 | − | 0.256380i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.28775 | − | 1.01857i | −0.113122 | − | 0.0503651i | 0.349395 | − | 0.936975i | \(-0.386387\pi\) |
−0.462517 | + | 0.886610i | \(0.653054\pi\) | |||||||
\(410\) | 0.706895 | − | 0.785086i | 0.0349110 | − | 0.0387726i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −1.58010 | + | 0.703506i | −0.0778460 | + | 0.0346593i | ||||
\(413\) | 4.16650 | + | 3.02714i | 0.205020 | + | 0.148956i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.27204 | − | 3.91493i | −0.0624419 | − | 0.192176i | ||||
\(416\) | 0.358805 | + | 3.41381i | 0.0175919 | + | 0.167376i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −12.4043 | − | 3.40829i | −0.606712 | − | 0.166705i | ||||
\(419\) | 5.36970 | + | 9.30060i | 0.262327 | + | 0.454364i | 0.966860 | − | 0.255307i | \(-0.0821767\pi\) |
−0.704533 | + | 0.709672i | \(0.748843\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −21.7026 | − | 4.61303i | −1.05772 | − | 0.224825i | −0.353958 | − | 0.935261i | \(-0.615164\pi\) |
−0.703762 | + | 0.710436i | \(0.748498\pi\) | |||||||
\(422\) | −1.62065 | + | 4.98785i | −0.0788920 | + | 0.242805i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −11.4825 | − | 8.34249i | −0.557637 | − | 0.405147i | ||||
\(425\) | 14.2863 | + | 15.8665i | 0.692986 | + | 0.769639i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.00679 | + | 1.33871i | 0.145509 | + | 0.0647847i | ||||
\(428\) | −3.07440 | − | 5.32501i | −0.148606 | − | 0.257394i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.92889 | − | 3.34093i | 0.0930192 | − | 0.161114i | ||||
\(431\) | −14.9330 | + | 10.8495i | −0.719297 | + | 0.522600i | −0.886160 | − | 0.463380i | \(-0.846636\pi\) |
0.166862 | + | 0.985980i | \(0.446636\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4.67130 | − | 14.3768i | 0.224488 | − | 0.690904i | −0.773855 | − | 0.633363i | \(-0.781674\pi\) |
0.998343 | − | 0.0575408i | \(-0.0183259\pi\) | |||||||
\(434\) | 9.30835 | − | 4.14434i | 0.446815 | − | 0.198935i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 5.23232 | − | 1.11216i | 0.250583 | − | 0.0532630i | ||||
\(437\) | 7.47304 | − | 8.29965i | 0.357484 | − | 0.397026i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −11.9777 | + | 20.7459i | −0.571663 | + | 0.990150i | 0.424732 | + | 0.905319i | \(0.360368\pi\) |
−0.996395 | + | 0.0848306i | \(0.972965\pi\) | |||||||
\(440\) | 4.33945 | + | 2.24589i | 0.206875 | + | 0.107068i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.04645 | − | 6.57263i | 0.430296 | − | 0.312628i | ||||
\(443\) | 24.9405 | + | 5.30127i | 1.18496 | + | 0.251871i | 0.757911 | − | 0.652358i | \(-0.226220\pi\) |
0.427049 | + | 0.904229i | \(0.359553\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −0.772332 | + | 7.34825i | −0.0366120 | + | 0.348340i | ||||
\(446\) | −1.78203 | + | 16.9549i | −0.0843817 | + | 0.802838i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −4.15748 | − | 0.883700i | −0.196423 | − | 0.0417509i | ||||
\(449\) | −18.1886 | + | 13.2148i | −0.858375 | + | 0.623646i | −0.927442 | − | 0.373966i | \(-0.877998\pi\) |
0.0690672 | + | 0.997612i | \(0.477998\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.78438 | − | 0.574776i | 0.178200 | − | 0.0270651i | ||||
\(452\) | 1.56804 | − | 2.71592i | 0.0737542 | − | 0.127746i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −6.17315 | + | 6.85598i | −0.289720 | + | 0.321767i | ||||
\(455\) | −0.658458 | + | 0.139959i | −0.0308690 | + | 0.00656140i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 19.8144 | − | 8.82195i | 0.926879 | − | 0.412673i | 0.112926 | − | 0.993603i | \(-0.463978\pi\) |
0.813953 | + | 0.580930i | \(0.197311\pi\) | |||||||
\(458\) | −11.8254 | + | 36.3950i | −0.552566 | + | 1.70062i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.832763 | − | 0.605037i | 0.0388278 | − | 0.0282100i | ||||
\(461\) | −6.05182 | + | 10.4821i | −0.281861 | + | 0.488198i | −0.971843 | − | 0.235629i | \(-0.924285\pi\) |
0.689982 | + | 0.723827i | \(0.257618\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −10.0154 | − | 17.3472i | −0.465455 | − | 0.806192i | 0.533767 | − | 0.845632i | \(-0.320776\pi\) |
−0.999222 | + | 0.0394398i | \(0.987443\pi\) | |||||||
\(464\) | 29.5084 | + | 13.1380i | 1.36989 | + | 0.609915i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.33320 | + | 4.81250i | 0.200731 | + | 0.222935i | ||||
\(467\) | 4.90871 | + | 3.56639i | 0.227148 | + | 0.165033i | 0.695538 | − | 0.718489i | \(-0.255166\pi\) |
−0.468390 | + | 0.883522i | \(0.655166\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.80516 | + | 5.55570i | −0.0833543 | + | 0.256538i | ||||
\(470\) | −0.203744 | − | 0.0433071i | −0.00939801 | − | 0.00199761i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 8.87574 | + | 15.3732i | 0.408539 | + | 0.707610i | ||||
\(473\) | 13.0810 | − | 4.92624i | 0.601465 | − | 0.226509i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.21919 | + | 11.5998i | 0.0559404 | + | 0.532237i | ||||
\(476\) | −0.400088 | − | 1.23134i | −0.0183380 | − | 0.0564385i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 9.22233 | + | 6.70041i | 0.421819 | + | 0.306470i | ||||
\(479\) | −33.1369 | + | 14.7535i | −1.51406 | + | 0.674104i | −0.984695 | − | 0.174289i | \(-0.944237\pi\) |
−0.529367 | + | 0.848393i | \(0.677571\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.04743 | + | 3.38452i | −0.138951 | + | 0.154321i | ||||
\(482\) | 12.4710 | + | 5.55244i | 0.568038 | + | 0.252907i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.69732 | − | 3.94639i | −0.0771510 | − | 0.179381i | ||||
\(485\) | −8.39529 | −0.381211 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.68379 | − | 8.25986i | −0.121614 | − | 0.374290i | 0.871655 | − | 0.490120i | \(-0.163047\pi\) |
−0.993269 | + | 0.115830i | \(0.963047\pi\) | |||||||
\(488\) | 7.59110 | + | 8.43077i | 0.343633 | + | 0.381643i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.619900 | − | 5.89795i | 0.0280042 | − | 0.266442i | ||||
\(491\) | −32.4719 | + | 6.90211i | −1.46544 | + | 0.311488i | −0.870453 | − | 0.492251i | \(-0.836174\pi\) |
−0.594982 | + | 0.803739i | \(0.702841\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.34970 | − | 31.8703i | −0.150863 | − | 1.43537i | ||||
\(494\) | 6.10872 | 0.274844 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 42.2506 | 1.89711 | ||||||||
\(497\) | −0.928921 | − | 8.83810i | −0.0416678 | − | 0.396443i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −20.4207 | + | 4.34055i | −0.914155 | + | 0.194310i | −0.640893 | − | 0.767630i | \(-0.721436\pi\) |
−0.273262 | + | 0.961940i | \(0.588103\pi\) | |||||||
\(500\) | −0.233210 | + | 2.21885i | −0.0104295 | + | 0.0992299i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 21.2842 | + | 23.6385i | 0.949961 | + | 1.05504i | ||||
\(503\) | −7.20593 | − | 22.1776i | −0.321297 | − | 0.988850i | −0.973085 | − | 0.230448i | \(-0.925981\pi\) |
0.651788 | − | 0.758401i | \(-0.274019\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.50663 | −0.378540 | ||||||||
\(506\) | 22.7903 | + | 1.33957i | 1.01315 | + | 0.0595511i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −4.27998 | − | 1.90557i | −0.189893 | − | 0.0845459i | ||||
\(509\) | −4.33678 | + | 4.81648i | −0.192224 | + | 0.213487i | −0.831551 | − | 0.555449i | \(-0.812547\pi\) |
0.639327 | + | 0.768935i | \(0.279213\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.2118 | − | 4.54658i | 0.451743 | − | 0.201129i | ||||
\(512\) | −10.4751 | − | 7.61063i | −0.462940 | − | 0.336346i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −1.61605 | − | 4.97368i | −0.0712807 | − | 0.219379i | ||||
\(515\) | −0.274076 | − | 2.60766i | −0.0120772 | − | 0.114907i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.471224 | − | 0.589529i | −0.0207244 | − | 0.0259275i | ||||
\(518\) | 1.61390 | + | 2.79537i | 0.0709109 | + | 0.122821i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −2.26960 | − | 0.482418i | −0.0995284 | − | 0.0211554i | ||||
\(521\) | 10.2625 | − | 31.5848i | 0.449610 | − | 1.38376i | −0.427738 | − | 0.903903i | \(-0.640689\pi\) |
0.877348 | − | 0.479855i | \(-0.159311\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 32.4728 | + | 23.5929i | 1.41994 | + | 1.03164i | 0.991782 | + | 0.127938i | \(0.0408359\pi\) |
0.428154 | + | 0.903706i | \(0.359164\pi\) | |||||||
\(524\) | 1.80079 | + | 1.99998i | 0.0786677 | + | 0.0873694i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −20.1732 | − | 8.98168i | −0.879593 | − | 0.391620i | ||||
\(527\) | −20.9585 | − | 36.3011i | −0.912965 | − | 1.58130i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.58985 | − | 2.75370i | 0.0691240 | − | 0.119726i | ||||
\(530\) | −4.22376 | + | 3.06874i | −0.183468 | + | 0.133298i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.218567 | − | 0.672680i | 0.00947608 | − | 0.0291644i | ||||
\(533\) | −1.66055 | + | 0.739324i | −0.0719264 | + | 0.0320237i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 9.11750 | − | 1.93798i | 0.394184 | − | 0.0837864i | ||||
\(536\) | −13.4730 | + | 14.9633i | −0.581945 | + | 0.646315i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −5.19534 | + | 8.99859i | −0.223987 | + | 0.387957i | ||||
\(539\) | 15.2903 | − | 15.0973i | 0.658599 | − | 0.650287i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −19.9410 | + | 14.4880i | −0.857332 | + | 0.622888i | −0.927158 | − | 0.374671i | \(-0.877756\pi\) |
0.0698260 | + | 0.997559i | \(0.477756\pi\) | |||||||
\(542\) | −6.01969 | − | 1.27952i | −0.258568 | − | 0.0549602i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.04614 | − | 9.95337i | 0.0448529 | − | 0.426747i | ||||
\(545\) | −0.847630 | + | 8.06466i | −0.0363085 | + | 0.345452i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −25.1583 | − | 5.34756i | −1.07569 | − | 0.228645i | −0.364186 | − | 0.931326i | \(-0.618653\pi\) |
−0.711505 | + | 0.702681i | \(0.751986\pi\) | |||||||
\(548\) | 2.92147 | − | 2.12257i | 0.124799 | − | 0.0906716i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −16.9659 | + | 16.7517i | −0.723427 | + | 0.714296i | ||||
\(551\) | 8.75329 | − | 15.1611i | 0.372902 | − | 0.645886i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.06240 | + | 7.84359i | −0.300324 | + | 0.333543i | ||||
\(554\) | −19.8602 | + | 4.22141i | −0.843778 | + | 0.179351i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 7.71035 | − | 3.43287i | 0.326992 | − | 0.145586i | ||||
\(557\) | −3.60979 | + | 11.1098i | −0.152952 | + | 0.470737i | −0.997948 | − | 0.0640357i | \(-0.979603\pi\) |
0.844996 | + | 0.534773i | \(0.179603\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.36998 | + | 3.90152i | −0.227126 | + | 0.165017i | ||||
\(560\) | −0.989164 | + | 1.71328i | −0.0417998 | + | 0.0723994i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.29436 | + | 3.97396i | 0.0967819 | + | 0.167631i | ||||
\(563\) | −7.41991 | − | 3.30356i | −0.312712 | − | 0.139228i | 0.244379 | − | 0.969680i | \(-0.421416\pi\) |
−0.557091 | + | 0.830451i | \(0.688083\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.18111 | + | 3.53298i | 0.133830 | + | 0.148634i | ||||
\(566\) | 10.1229 | + | 7.35468i | 0.425495 | + | 0.309140i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 9.46559 | − | 29.1321i | 0.397167 | − | 1.22236i | ||||
\(569\) | −17.6131 | − | 3.74379i | −0.738381 | − | 0.156948i | −0.176657 | − | 0.984272i | \(-0.556528\pi\) |
−0.561724 | + | 0.827325i | \(0.689862\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.30322 | + | 2.25725i | 0.0545382 | + | 0.0944629i | 0.892006 | − | 0.452024i | \(-0.149298\pi\) |
−0.837467 | + | 0.546487i | \(0.815965\pi\) | |||||||
\(572\) | 1.27372 | + | 1.59350i | 0.0532569 | + | 0.0666276i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.134661 | + | 1.28121i | 0.00562063 | + | 0.0534767i | ||||
\(575\) | −6.39652 | − | 19.6865i | −0.266753 | − | 0.820982i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −28.4684 | − | 20.6835i | −1.18515 | − | 0.861064i | −0.192409 | − | 0.981315i | \(-0.561630\pi\) |
−0.992744 | + | 0.120251i | \(0.961630\pi\) | |||||||
\(578\) | −5.77202 | + | 2.56987i | −0.240084 | + | 0.106893i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 1.07967 | − | 1.19909i | 0.0448307 | − | 0.0497895i | ||||
\(581\) | 4.58575 | + | 2.04171i | 0.190249 | + | 0.0847042i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −18.8841 | − | 1.10997i | −0.782099 | − | 0.0459702i | ||||
\(584\) | 38.5294 | 1.59436 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −7.50863 | − | 23.1092i | −0.310179 | − | 0.954631i | ||||
\(587\) | −15.7596 | − | 17.5029i | −0.650470 | − | 0.722420i | 0.324220 | − | 0.945982i | \(-0.394898\pi\) |
−0.974690 | + | 0.223562i | \(0.928232\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.39361 | − | 22.7737i | 0.0986269 | − | 0.938372i | ||||
\(590\) | 6.38709 | − | 1.35762i | 0.262952 | − | 0.0558923i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.39905 | + | 13.3111i | 0.0575005 | + | 0.547081i | ||||
\(593\) | −13.1828 | −0.541354 | −0.270677 | − | 0.962670i | \(-0.587248\pi\) | ||||
−0.270677 | + | 0.962670i | \(0.587248\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.96270 | 0.0804630 | ||||||||
\(596\) | −0.0468001 | − | 0.445273i | −0.00191701 | − | 0.0182391i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −10.6042 | + | 2.25399i | −0.433638 | + | 0.0921726i | ||||
\(599\) | 3.57659 | − | 34.0290i | 0.146135 | − | 1.39039i | −0.638115 | − | 0.769941i | \(-0.720285\pi\) |
0.784250 | − | 0.620445i | \(-0.213048\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 19.4239 | + | 21.5724i | 0.792316 | + | 0.879956i | 0.995060 | − | 0.0992759i | \(-0.0316526\pi\) |
−0.202744 | + | 0.979232i | \(0.564986\pi\) | |||||||
\(602\) | 1.45372 | + | 4.47410i | 0.0592493 | + | 0.182351i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.343924 | 0.0139941 | ||||||||
\(605\) | 6.48480 | − | 0.598412i | 0.263645 | − | 0.0243289i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −2.88347 | − | 1.28380i | −0.117037 | − | 0.0521080i | 0.347383 | − | 0.937723i | \(-0.387070\pi\) |
−0.464420 | + | 0.885615i | \(0.653737\pi\) | |||||||
\(608\) | 3.65844 | − | 4.06311i | 0.148369 | − | 0.164781i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.81231 | − | 1.69735i | 0.154356 | − | 0.0687238i | ||||
\(611\) | 0.289945 | + | 0.210657i | 0.0117299 | + | 0.00852229i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 10.4884 | + | 32.2798i | 0.423620 | + | 1.30377i | 0.904309 | + | 0.426878i | \(0.140387\pi\) |
−0.480689 | + | 0.876891i | \(0.659613\pi\) | |||||||
\(614\) | −0.567779 | − | 5.40206i | −0.0229137 | − | 0.218009i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −5.57613 | + | 2.09994i | −0.224669 | + | 0.0846091i | ||||
\(617\) | −10.8039 | − | 18.7129i | −0.434948 | − | 0.753351i | 0.562344 | − | 0.826904i | \(-0.309900\pi\) |
−0.997291 | + | 0.0735523i | \(0.976566\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −20.0643 | − | 4.26481i | −0.806454 | − | 0.171417i | −0.213803 | − | 0.976877i | \(-0.568585\pi\) |
−0.592651 | + | 0.805460i | \(0.701919\pi\) | |||||||
\(620\) | 0.652196 | − | 2.00725i | 0.0261928 | − | 0.0806132i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −32.9404 | − | 23.9326i | −1.32079 | − | 0.959611i | ||||
\(623\) | −6.02896 | − | 6.69584i | −0.241545 | − | 0.268263i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 18.1479 | + | 8.07996i | 0.725915 | + | 0.323198i | ||||
\(626\) | −1.90263 | − | 3.29545i | −0.0760444 | − | 0.131713i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 1.91094 | − | 3.30985i | 0.0762550 | − | 0.132078i | ||||
\(629\) | 10.7427 | − | 7.80501i | 0.428339 | − | 0.311206i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 9.22863 | − | 28.4028i | 0.367386 | − | 1.13070i | −0.581087 | − | 0.813841i | \(-0.697372\pi\) |
0.948473 | − | 0.316857i | \(-0.102628\pi\) | |||||||
\(632\) | −33.2348 | + | 14.7971i | −1.32201 | + | 0.588596i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 40.0881 | − | 8.52098i | 1.59210 | − | 0.338411i | ||||
\(635\) | 4.75230 | − | 5.27796i | 0.188589 | − | 0.209450i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5.10193 | + | 8.83680i | −0.202146 | + | 0.350127i | ||||
\(638\) | 35.3803 | − | 5.37360i | 1.40072 | − | 0.212743i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −6.44762 | + | 4.68447i | −0.254864 | + | 0.185170i | ||||
\(641\) | −37.2870 | − | 7.92561i | −1.47275 | − | 0.313043i | −0.599523 | − | 0.800357i | \(-0.704643\pi\) |
−0.873226 | + | 0.487315i | \(0.837976\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.75871 | − | 16.7330i | 0.0693566 | − | 0.659884i | −0.903518 | − | 0.428550i | \(-0.859024\pi\) |
0.972875 | − | 0.231333i | \(-0.0743088\pi\) | |||||||
\(644\) | −0.131208 | + | 1.24836i | −0.00517032 | + | 0.0491923i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −17.4215 | − | 3.70306i | −0.685440 | − | 0.145695i | ||||
\(647\) | −16.9687 | + | 12.3285i | −0.667109 | + | 0.484683i | −0.869056 | − | 0.494713i | \(-0.835273\pi\) |
0.201947 | + | 0.979396i | \(0.435273\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 21.0120 | + | 10.8748i | 0.824792 | + | 0.426872i | ||||
\(650\) | 5.66102 | − | 9.80517i | 0.222043 | − | 0.384591i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.20985 | − | 1.34368i | 0.0473815 | − | 0.0526225i | ||||
\(653\) | 19.3345 | − | 4.10968i | 0.756619 | − | 0.160824i | 0.186577 | − | 0.982440i | \(-0.440261\pi\) |
0.570041 | + | 0.821616i | \(0.306927\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.72703 | + | 1.65938i | −0.145627 | + | 0.0648374i | ||||
\(656\) | −1.65074 | + | 5.08046i | −0.0644506 | + | 0.198358i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.205494 | − | 0.149300i | 0.00801101 | − | 0.00582034i | ||||
\(659\) | −5.90277 | + | 10.2239i | −0.229939 | + | 0.398267i | −0.957790 | − | 0.287469i | \(-0.907186\pi\) |
0.727851 | + | 0.685736i | \(0.240519\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.90382 | − | 15.4219i | −0.346318 | − | 0.599841i | 0.639274 | − | 0.768979i | \(-0.279235\pi\) |
−0.985592 | + | 0.169138i | \(0.945902\pi\) | |||||||
\(662\) | −11.4466 | − | 5.09634i | −0.444884 | − | 0.198075i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 11.5774 | + | 12.8580i | 0.449291 | + | 0.498988i | ||||
\(665\) | 0.867445 | + | 0.630235i | 0.0336381 | + | 0.0244395i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.60079 | + | 29.5482i | −0.371744 | + | 1.14411i | ||||
\(668\) | −6.48925 | − | 1.37933i | −0.251076 | − | 0.0533679i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.70329 | + | 6.41429i | 0.143071 | + | 0.247806i | ||||
\(671\) | 14.5800 | + | 4.00611i | 0.562854 | + | 0.154654i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −2.05976 | − | 19.5973i | −0.0793980 | − | 0.755422i | −0.959704 | − | 0.281014i | \(-0.909329\pi\) |
0.880306 | − | 0.474407i | \(-0.157338\pi\) | |||||||
\(674\) | −11.8111 | − | 36.3508i | −0.454946 | − | 1.40018i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.32365 | + | 2.41477i | 0.127833 | + | 0.0928760i | ||||
\(677\) | 11.3407 | − | 5.04919i | 0.435857 | − | 0.194056i | −0.177065 | − | 0.984199i | \(-0.556660\pi\) |
0.612923 | + | 0.790143i | \(0.289994\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.85029 | − | 7.60802i | 0.262890 | − | 0.291969i | ||||
\(680\) | 6.18025 | + | 2.75162i | 0.237002 | + | 0.105520i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 39.4186 | − | 25.2443i | 1.50942 | − | 0.966654i | ||||
\(683\) | −2.02837 | −0.0776135 | −0.0388068 | − | 0.999247i | \(-0.512356\pi\) | ||||
−0.0388068 | + | 0.999247i | \(0.512356\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.69164 | + | 5.20632i | 0.0646341 | + | 0.198923i | ||||
\(686\) | 10.0674 | + | 11.1810i | 0.384375 | + | 0.426891i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.03903 | + | 19.4001i | −0.0777374 | + | 0.739622i | ||||
\(689\) | 8.78666 | − | 1.86766i | 0.334745 | − | 0.0711523i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.244897 | − | 2.33004i | −0.00931631 | − | 0.0886387i | 0.988876 | − | 0.148744i | \(-0.0475230\pi\) |
−0.998192 | + | 0.0601053i | \(0.980856\pi\) | |||||||
\(692\) | 0.230830 | 0.00877483 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.19995 | −0.121469 | ||||||||
\(695\) | 1.33740 | + | 12.7245i | 0.0507304 | + | 0.482667i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 5.18391 | − | 1.10187i | 0.196355 | − | 0.0417364i | ||||
\(698\) | −0.842705 | + | 8.01780i | −0.0318969 | + | 0.303478i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.877178 | − | 0.974205i | −0.0331542 | − | 0.0368215i | ||||
\(701\) | 1.37008 | + | 4.21668i | 0.0517473 | + | 0.159262i | 0.973591 | − | 0.228301i | \(-0.0733170\pi\) |
−0.921843 | + | 0.387563i | \(0.873317\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.25411 | 0.273594 | ||||||||
\(704\) | −19.4924 | − | 1.14573i | −0.734649 | − | 0.0431812i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 30.6117 | + | 13.6292i | 1.15209 | + | 0.512942i | ||||
\(707\) | 6.94114 | − | 7.70892i | 0.261049 | − | 0.289924i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 27.2990 | − | 12.1543i | 1.02524 | − | 0.456465i | 0.175952 | − | 0.984399i | \(-0.443700\pi\) |
0.849286 | + | 0.527934i | \(0.177033\pi\) | |||||||
\(710\) | −9.11565 | − | 6.62291i | −0.342104 | − | 0.248553i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −9.59699 | − | 29.5365i | −0.359662 | − | 1.10693i | ||||
\(713\) | 4.24792 | + | 40.4163i | 0.159086 | + | 1.51360i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.89409 | + | 1.08990i | −0.108233 | + | 0.0407600i | ||||
\(716\) | −1.88258 | − | 3.26072i | −0.0703551 | − | 0.121859i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −13.2374 | − | 2.81369i | −0.494014 | − | 0.105006i | ||||
\(719\) | 6.68469 | − | 20.5734i | 0.249297 | − | 0.767257i | −0.745603 | − | 0.666390i | \(-0.767838\pi\) |
0.994900 | − | 0.100867i | \(-0.0321616\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.58676 | + | 1.87939i | 0.0963360 | + | 0.0699922i | ||||
\(722\) | 13.1462 | + | 14.6003i | 0.489250 | + | 0.543367i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.69891 | − | 0.756405i | −0.0631396 | − | 0.0281116i | ||||
\(725\) | −16.2235 | − | 28.1000i | −0.602527 | − | 1.04361i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.22109 | − | 10.7752i | 0.230727 | − | 0.399631i | −0.727295 | − | 0.686325i | \(-0.759223\pi\) |
0.958022 | + | 0.286694i | \(0.0925561\pi\) | |||||||
\(728\) | 2.28910 | − | 1.66313i | 0.0848396 | − | 0.0616396i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 4.37965 | − | 13.4792i | 0.162098 | − | 0.498887i | ||||
\(731\) | 17.6798 | − | 7.87154i | 0.653909 | − | 0.291139i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 51.2082 | − | 10.8846i | 1.89142 | − | 0.402033i | 0.892609 | − | 0.450832i | \(-0.148873\pi\) |
0.998809 | + | 0.0487988i | \(0.0155393\pi\) | |||||||
\(734\) | 7.00012 | − | 7.77442i | 0.258379 | − | 0.286959i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.85153 | + | 8.40310i | −0.178830 | + | 0.309742i | ||||
\(737\) | −4.36635 | + | 26.4786i | −0.160837 | + | 0.975352i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 37.7617 | − | 27.4355i | 1.38909 | − | 1.00923i | 0.393122 | − | 0.919486i | \(-0.371395\pi\) |
0.995965 | − | 0.0897445i | \(-0.0286051\pi\) | |||||||
\(740\) | 0.653982 | + | 0.139008i | 0.0240408 | + | 0.00511004i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.665485 | − | 6.33167i | 0.0244307 | − | 0.232443i | ||||
\(743\) | −2.28623 | + | 21.7521i | −0.0838738 | + | 0.798006i | 0.869035 | + | 0.494750i | \(0.164740\pi\) |
−0.952909 | + | 0.303256i | \(0.901926\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.663893 | + | 0.141115i | 0.0243232 | + | 0.00517005i | ||||
\(746\) | −27.3853 | + | 19.8966i | −1.00265 | + | 0.728466i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −2.66657 | − | 5.31664i | −0.0974994 | − | 0.194395i | ||||
\(749\) | −5.68334 | + | 9.84384i | −0.207665 | + | 0.359686i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 26.4923 | − | 29.4227i | 0.966718 | − | 1.07365i | −0.0305318 | − | 0.999534i | \(-0.509720\pi\) |
0.997250 | − | 0.0741152i | \(-0.0236132\pi\) | |||||||
\(752\) | 1.03024 | − | 0.218984i | 0.0375689 | − | 0.00798551i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −15.5245 | + | 6.91196i | −0.565370 | + | 0.251719i | ||||
\(755\) | −0.161111 | + | 0.495850i | −0.00586344 | + | 0.0180458i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −18.7253 | + | 13.6047i | −0.680583 | + | 0.494472i | −0.873551 | − | 0.486733i | \(-0.838189\pi\) |
0.192968 | + | 0.981205i | \(0.438189\pi\) | |||||||
\(758\) | −26.1480 | + | 45.2896i | −0.949736 | + | 1.64499i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.84789 | + | 3.20063i | 0.0670299 | + | 0.116099i | ||||
\(761\) | 13.6053 | + | 6.05747i | 0.493192 | + | 0.219583i | 0.638234 | − | 0.769842i | \(-0.279665\pi\) |
−0.145042 | + | 0.989425i | \(0.546332\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −6.61675 | − | 7.34864i | −0.239542 | − | 0.266039i | ||||
\(764\) | −1.64233 | − | 1.19322i | −0.0594173 | − | 0.0431692i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −8.77872 | + | 27.0181i | −0.317188 | + | 0.976204i | ||||
\(767\) | −10.9896 | − | 2.33591i | −0.396811 | − | 0.0843447i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10.8117 | − | 18.7264i | −0.389879 | − | 0.675290i | 0.602554 | − | 0.798078i | \(-0.294150\pi\) |
−0.992433 | + | 0.122788i | \(0.960816\pi\) | |||||||
\(770\) | 0.100807 | + | 2.18946i | 0.00363282 | + | 0.0789026i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.133409 | − | 1.26930i | −0.00480151 | − | 0.0456833i | ||||
\(773\) | 1.87664 | + | 5.77569i | 0.0674979 | + | 0.207737i | 0.979117 | − | 0.203300i | \(-0.0651666\pi\) |
−0.911619 | + | 0.411037i | \(0.865167\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −34.3361 | − | 24.9466i | −1.23339 | − | 0.896109i | ||||
\(776\) | 32.2366 | − | 14.3527i | 1.15723 | − | 0.515231i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −31.8714 | + | 35.3968i | −1.14265 | + | 1.26904i | ||||
\(779\) | 2.64492 | + | 1.17759i | 0.0947641 | + | 0.0421917i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10.3158 | − | 39.5009i | −0.369129 | − | 1.41345i | ||||
\(782\) | 31.6086 | 1.13032 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 9.26663 | + | 28.5197i | 0.330951 | + | 1.01856i | ||||
\(785\) | 3.87678 | + | 4.30560i | 0.138368 | + | 0.153673i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −5.34719 | + | 50.8751i | −0.190607 | + | 1.81350i | 0.313201 | + | 0.949687i | \(0.398599\pi\) |
−0.503808 | + | 0.863816i | \(0.668068\pi\) | |||||||
\(788\) | −8.58080 | + | 1.82391i | −0.305678 | + | 0.0649739i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1.39882 | + | 13.3089i | 0.0497678 | + | 0.473509i | ||||
\(791\) | −5.79736 | −0.206130 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.18019 | −0.254976 | ||||||||
\(794\) | −1.34072 | − | 12.7561i | −0.0475805 | − | 0.452699i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 7.95681 | − | 1.69127i | 0.282022 | − | 0.0599455i | ||||
\(797\) | −2.64052 | + | 25.1228i | −0.0935319 | + | 0.889897i | 0.842669 | + | 0.538432i | \(0.180983\pi\) |
−0.936201 | + | 0.351465i | \(0.885684\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.699198 | − | 0.776538i | −0.0247359 | − | 0.0274719i | ||||
\(800\) | −3.13143 | − | 9.63754i | −0.110713 | − | 0.340738i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −6.08192 | −0.214760 | ||||||||
\(803\) | 43.2445 | − | 27.6944i | 1.52606 | − | 0.977316i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.73835 | − | 0.773964i | −0.0612689 | − | 0.0272787i | ||||
\(806\) | −14.8736 | + | 16.5188i | −0.523901 | + | 0.581851i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 32.6641 | − | 14.5430i | 1.14912 | − | 0.511621i | ||||
\(809\) | 41.5248 | + | 30.1696i | 1.45994 | + | 1.06071i | 0.983380 | + | 0.181561i | \(0.0581150\pi\) |
0.476556 | + | 0.879144i | \(0.341885\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1.40476 | + | 4.32339i | 0.0493276 | + | 0.151815i | 0.972686 | − | 0.232124i | \(-0.0745674\pi\) |
−0.923359 | + | 0.383939i | \(0.874567\pi\) | |||||||
\(812\) | 0.205672 | + | 1.95684i | 0.00721767 | + | 0.0686715i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 9.25850 | + | 11.5829i | 0.324510 | + | 0.405981i | ||||
\(815\) | 1.37048 | + | 2.37375i | 0.0480059 | + | 0.0831487i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 10.3414 | + | 2.19814i | 0.361800 | + | 0.0769030i | ||||
\(818\) | 1.19649 | − | 3.68241i | 0.0418342 | − | 0.128753i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.215882 | + | 0.156848i | 0.00753894 | + | 0.00547736i | ||||
\(821\) | −7.27599 | − | 8.08080i | −0.253934 | − | 0.282022i | 0.602677 | − | 0.797985i | \(-0.294101\pi\) |
−0.856611 | + | 0.515963i | \(0.827434\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −21.5744 | − | 9.60555i | −0.752037 | − | 0.334828i | −0.00533378 | − | 0.999986i | \(-0.501698\pi\) |
−0.746703 | + | 0.665157i | \(0.768364\pi\) | |||||||
\(824\) | 5.51048 | + | 9.54444i | 0.191967 | + | 0.332496i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −3.98136 | + | 6.89591i | −0.138529 | + | 0.239940i | ||||
\(827\) | −22.3321 | + | 16.2252i | −0.776564 | + | 0.564207i | −0.903946 | − | 0.427647i | \(-0.859343\pi\) |
0.127382 | + | 0.991854i | \(0.459343\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −4.97546 | + | 15.3129i | −0.172805 | + | 0.531839i | −0.999526 | − | 0.0307727i | \(-0.990203\pi\) |
0.826722 | + | 0.562611i | \(0.190203\pi\) | |||||||
\(830\) | 5.81427 | − | 2.58868i | 0.201816 | − | 0.0898545i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 9.06972 | − | 1.92783i | 0.314436 | − | 0.0668354i | ||||
\(833\) | 19.9070 | − | 22.1090i | 0.689738 | − | 0.766032i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 5.02854 | − | 8.70968i | 0.174020 | − | 0.301411i | ||||
\(836\) | 0.528675 | − | 3.20601i | 0.0182846 | − | 0.110882i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −13.4334 | + | 9.75993i | −0.464049 | + | 0.337151i | ||||
\(839\) | −19.0073 | − | 4.04012i | −0.656205 | − | 0.139481i | −0.132236 | − | 0.991218i | \(-0.542216\pi\) |
−0.523968 | + | 0.851738i | \(0.675549\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.05933 | + | 19.5932i | −0.0710114 | + | 0.675629i | ||||
\(842\) | 3.58583 | − | 34.1169i | 0.123576 | − | 1.17575i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.29577 | − | 0.275424i | −0.0446021 | − | 0.00948047i | ||||
\(845\) | −5.03845 | + | 3.66065i | −0.173328 | + | 0.125930i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −4.74909 | + | 6.36497i | −0.163181 | + | 0.218703i | ||||
\(848\) | 13.1997 | − | 22.8626i | 0.453280 | − | 0.785103i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −22.0885 | + | 24.5318i | −0.757631 | + | 0.841434i | ||||
\(851\) | −12.5925 | + | 2.67662i | −0.431666 | + | 0.0917533i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −18.0750 | + | 8.04749i | −0.618875 | + | 0.275541i | −0.692131 | − | 0.721772i | \(-0.743328\pi\) |
0.0732555 | + | 0.997313i | \(0.476661\pi\) | |||||||
\(854\) | −1.57255 | + | 4.83980i | −0.0538114 | + | 0.165614i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −31.6966 | + | 23.0289i | −1.08337 | + | 0.787112i | ||||
\(857\) | −2.17032 | + | 3.75911i | −0.0741369 | + | 0.128409i | −0.900711 | − | 0.434420i | \(-0.856953\pi\) |
0.826574 | + | 0.562828i | \(0.190287\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 2.58967 | + | 4.48545i | 0.0883586 | + | 0.153042i | 0.906817 | − | 0.421524i | \(-0.138505\pi\) |
−0.818459 | + | 0.574565i | \(0.805171\pi\) | |||||||
\(860\) | 0.890190 | + | 0.396338i | 0.0303552 | + | 0.0135150i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −19.0963 | − | 21.2085i | −0.650421 | − | 0.722366i | ||||
\(863\) | −2.17943 | − | 1.58345i | −0.0741886 | − | 0.0539011i | 0.550073 | − | 0.835117i | \(-0.314600\pi\) |
−0.624261 | + | 0.781216i | \(0.714600\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.108132 | + | 0.332797i | −0.00367661 | + | 0.0113155i | ||||
\(866\) | 22.8616 | + | 4.85939i | 0.776870 | + | 0.165129i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.28685 | + | 2.22889i | 0.0436785 | + | 0.0756534i | ||||
\(869\) | −26.6659 | + | 40.4966i | −0.904580 | + | 1.37375i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.33208 | − | 12.6739i | −0.0451358 | − | 0.429438i | ||||
\(872\) | −10.5326 | − | 32.4161i | −0.356680 | − | 1.09775i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 13.9699 | + | 10.1497i | 0.472538 | + | 0.343319i | ||||
\(875\) | 3.76780 | − | 1.67753i | 0.127375 | − | 0.0567109i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −13.9479 | + | 15.4907i | −0.470986 | + | 0.523083i | −0.931094 | − | 0.364780i | \(-0.881144\pi\) |
0.460107 | + | 0.887863i | \(0.347811\pi\) | |||||||
\(878\) | −33.8361 | − | 15.0648i | −1.14191 | − | 0.508413i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −3.31081 | + | 8.46389i | −0.111607 | + | 0.285318i | ||||
\(881\) | −11.5843 | −0.390286 | −0.195143 | − | 0.980775i | \(-0.562517\pi\) | ||||
−0.195143 | + | 0.980775i | \(0.562517\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 4.75801 | + | 14.6437i | 0.160120 | + | 0.492798i | 0.998644 | − | 0.0520667i | \(-0.0165808\pi\) |
−0.838524 | + | 0.544865i | \(0.816581\pi\) | |||||||
\(884\) | 1.88994 | + | 2.09899i | 0.0635654 | + | 0.0705966i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −4.12082 | + | 39.2070i | −0.138442 | + | 1.31718i | ||||
\(887\) | −5.78081 | + | 1.22875i | −0.194101 | + | 0.0412574i | −0.303936 | − | 0.952692i | \(-0.598301\pi\) |
0.109835 | + | 0.993950i | \(0.464968\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.905294 | + | 8.61330i | 0.0303626 | + | 0.288881i | ||||
\(890\) | −11.4240 | −0.382932 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −4.30623 | −0.144183 | ||||||||
\(893\) | −0.0596696 | − | 0.567719i | −0.00199677 | − | 0.0189980i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 5.58301 | − | 1.18671i | 0.186619 | − | 0.0396672i | ||||
\(896\) | 1.01587 | − | 9.66536i | 0.0339378 | − | 0.322897i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −23.2596 | − | 25.8324i | −0.776182 | − | 0.862037i | ||||
\(899\) | 19.6852 | + | 60.5847i | 0.656537 | + | 2.02061i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −26.1909 | −0.872546 | ||||||||
\(902\) | 1.49543 | + | 5.72622i | 0.0497923 | + | 0.190662i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −18.2550 | − | 8.12764i | −0.607152 | − | 0.270321i | ||||
\(905\) | 1.88640 | − | 2.09506i | 0.0627060 | − | 0.0696421i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −6.75413 | + | 3.00713i | −0.224267 | + | 0.0998502i | −0.515795 | − | 0.856712i | \(-0.672503\pi\) |
0.291527 | + | 0.956562i | \(0.405837\pi\) | |||||||
\(908\) | −1.88525 | − | 1.36971i | −0.0625642 | − | 0.0454556i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.321628 | − | 0.989869i | −0.0106619 | − | 0.0328138i | ||||
\(911\) | −1.48418 | − | 14.1210i | −0.0491730 | − | 0.467850i | −0.991206 | − | 0.132329i | \(-0.957754\pi\) |
0.942033 | − | 0.335521i | \(-0.108912\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 22.2364 | + | 6.10983i | 0.735917 | + | 0.202206i | ||||
\(914\) | 16.7675 | + | 29.0422i | 0.554620 | + | 0.960631i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −9.45485 | − | 2.00969i | −0.312397 | − | 0.0664021i | ||||
\(917\) | 1.53737 | − | 4.73153i | 0.0507684 | − | 0.156249i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 33.6895 | + | 24.4769i | 1.11132 | + | 0.807418i | 0.982870 | − | 0.184299i | \(-0.0590013\pi\) |
0.128445 | + | 0.991717i | \(0.459001\pi\) | |||||||
\(920\) | −4.38874 | − | 4.87419i | −0.144692 | − | 0.160697i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −17.0960 | − | 7.61162i | −0.563026 | − | 0.250675i | ||||
\(923\) | 9.69344 | + | 16.7895i | 0.319063 | + | 0.552634i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6.72247 | − | 11.6437i | 0.221033 | − | 0.382841i | ||||
\(926\) | 25.0555 | − | 18.2039i | 0.823376 | − | 0.598218i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.70008 | + | 14.4654i | −0.154288 | + | 0.474849i | ||||
\(929\) | 31.1818 | − | 13.8830i | 1.02304 | − | 0.455488i | 0.174524 | − | 0.984653i | \(-0.444161\pi\) |
0.848519 | + | 0.529165i | \(0.177495\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 15.8975 | − | 3.37912i | 0.521020 | − | 0.110746i | ||||
\(932\) | −1.09452 | + | 1.21559i | −0.0358522 | + | 0.0398179i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −4.69059 | + | 8.12434i | −0.153481 | + | 0.265837i | ||||
\(935\) | 8.91439 | − | 1.35393i | 0.291532 | − | 0.0442781i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −41.8118 | + | 30.3780i | −1.36593 | + | 0.992407i | −0.367889 | + | 0.929870i | \(0.619919\pi\) |
−0.998043 | + | 0.0625376i | \(0.980081\pi\) | |||||||
\(938\) | −8.83455 | − | 1.87784i | −0.288458 | − | 0.0613137i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.00549959 | − | 0.0523251i | 0.000179377 | − | 0.00170666i | ||||
\(941\) | 1.88216 | − | 17.9075i | 0.0613566 | − | 0.583769i | −0.920046 | − | 0.391810i | \(-0.871849\pi\) |
0.981403 | − | 0.191959i | \(-0.0614842\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −5.02586 | − | 1.06828i | −0.163664 | − | 0.0347880i | ||||
\(944\) | −26.7122 | + | 19.4075i | −0.869407 | + | 0.631661i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 9.68901 | + | 19.3181i | 0.315017 | + | 0.628084i | ||||
\(947\) | 14.3151 | − | 24.7946i | 0.465180 | − | 0.805715i | −0.534030 | − | 0.845466i | \(-0.679323\pi\) |
0.999210 | + | 0.0397506i | \(0.0126563\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −16.3172 | + | 18.1221i | −0.529679 | + | 0.588268i | ||||
\(950\) | −17.6396 | + | 3.74942i | −0.572306 | + | 0.121647i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −7.53647 | + | 3.35545i | −0.244259 | + | 0.108751i | ||||
\(953\) | −5.15728 | + | 15.8725i | −0.167061 | + | 0.514160i | −0.999182 | − | 0.0404331i | \(-0.987126\pi\) |
0.832121 | + | 0.554594i | \(0.187126\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.48967 | − | 1.80885i | 0.0805637 | − | 0.0585330i | ||||
\(956\) | −1.43969 | + | 2.49361i | −0.0465628 | + | 0.0806492i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −28.0414 | − | 48.5690i | −0.905975 | − | 1.56919i | ||||
\(959\) | −6.09842 | − | 2.71519i | −0.196928 | − | 0.0876781i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 35.0121 | + | 38.8849i | 1.12942 | + | 1.25435i | ||||
\(962\) | −5.69677 | − | 4.13895i | −0.183671 | − | 0.133445i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −1.06554 | + | 3.27939i | −0.0343187 | + | 0.105622i | ||||
\(965\) | 1.89251 | + | 0.402265i | 0.0609220 | + | 0.0129494i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.1597 | − | 21.0612i | −0.391029 | − | 0.677281i | 0.601557 | − | 0.798830i | \(-0.294547\pi\) |
−0.992585 | + | 0.121549i | \(0.961214\pi\) | |||||||
\(968\) | −23.8776 | + | 13.3843i | −0.767454 | + | 0.430187i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.35681 | − | 12.9092i | −0.0435645 | − | 0.414488i | ||||
\(971\) | −2.33367 | − | 7.18229i | −0.0748910 | − | 0.230491i | 0.906603 | − | 0.421985i | \(-0.138667\pi\) |
−0.981494 | + | 0.191495i | \(0.938667\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −12.6225 | − | 9.17079i | −0.404659 | − | 0.294002i | ||||
\(974\) | 12.2672 | − | 5.46169i | 0.393065 | − | 0.175004i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −14.1196 | + | 15.6814i | −0.451957 | + | 0.501949i | ||||
\(977\) | −1.85659 | − | 0.826605i | −0.0593974 | − | 0.0264454i | 0.376823 | − | 0.926285i | \(-0.377017\pi\) |
−0.436220 | + | 0.899840i | \(0.643683\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −32.0019 | − | 26.2528i | −1.02278 | − | 0.839044i | ||||
\(980\) | 1.49797 | 0.0478508 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −15.8611 | − | 48.8154i | −0.506148 | − | 1.55776i | ||||
\(983\) | −22.3755 | − | 24.8505i | −0.713666 | − | 0.792607i | 0.271822 | − | 0.962347i | \(-0.412374\pi\) |
−0.985489 | + | 0.169741i | \(0.945707\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.39008 | − | 13.2257i | 0.0442916 | − | 0.421407i | ||||
\(986\) | 48.4645 | − | 10.3015i | 1.54342 | − | 0.328065i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.161287 | + | 1.53455i | 0.00513123 | + | 0.0488204i | ||||
\(989\) | −18.7629 | −0.596624 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 40.1009 | 1.27385 | 0.636923 | − | 0.770927i | \(-0.280207\pi\) | ||||
0.636923 | + | 0.770927i | \(0.280207\pi\) | |||||||
\(992\) | 2.07958 | + | 19.7859i | 0.0660267 | + | 0.628202i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 13.4399 | − | 2.85674i | 0.426288 | − | 0.0906104i | ||||
\(995\) | −1.28899 | + | 12.2640i | −0.0408638 | + | 0.388793i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 10.7931 | + | 11.9870i | 0.341822 | + | 0.379632i | 0.889405 | − | 0.457119i | \(-0.151119\pi\) |
−0.547583 | + | 0.836751i | \(0.684452\pi\) | |||||||
\(998\) | −9.97461 | − | 30.6987i | −0.315741 | − | 0.971750i | ||||
\(999\) | 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 | 297.2.n.b.289.8 | 72 | ||
3.2 | odd | 2 | 99.2.m.b.25.2 | yes | 72 | ||
9.2 | odd | 6 | 891.2.f.f.487.2 | 36 | |||
9.4 | even | 3 | inner | 297.2.n.b.91.2 | 72 | ||
9.5 | odd | 6 | 99.2.m.b.58.8 | yes | 72 | ||
9.7 | even | 3 | 891.2.f.e.487.8 | 36 | |||
11.4 | even | 5 | inner | 297.2.n.b.235.2 | 72 | ||
33.2 | even | 10 | 1089.2.e.o.727.15 | 36 | |||
33.20 | odd | 10 | 1089.2.e.p.727.4 | 36 | |||
33.26 | odd | 10 | 99.2.m.b.70.8 | yes | 72 | ||
99.2 | even | 30 | 9801.2.a.co.1.4 | 18 | |||
99.4 | even | 15 | inner | 297.2.n.b.37.8 | 72 | ||
99.20 | odd | 30 | 9801.2.a.cm.1.15 | 18 | |||
99.59 | odd | 30 | 99.2.m.b.4.2 | ✓ | 72 | ||
99.68 | even | 30 | 1089.2.e.o.364.15 | 36 | |||
99.70 | even | 15 | 891.2.f.e.730.8 | 36 | |||
99.79 | odd | 30 | 9801.2.a.cn.1.15 | 18 | |||
99.86 | odd | 30 | 1089.2.e.p.364.4 | 36 | |||
99.92 | odd | 30 | 891.2.f.f.730.2 | 36 | |||
99.97 | even | 15 | 9801.2.a.cp.1.4 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.b.4.2 | ✓ | 72 | 99.59 | odd | 30 | ||
99.2.m.b.25.2 | yes | 72 | 3.2 | odd | 2 | ||
99.2.m.b.58.8 | yes | 72 | 9.5 | odd | 6 | ||
99.2.m.b.70.8 | yes | 72 | 33.26 | odd | 10 | ||
297.2.n.b.37.8 | 72 | 99.4 | even | 15 | inner | ||
297.2.n.b.91.2 | 72 | 9.4 | even | 3 | inner | ||
297.2.n.b.235.2 | 72 | 11.4 | even | 5 | inner | ||
297.2.n.b.289.8 | 72 | 1.1 | even | 1 | trivial | ||
891.2.f.e.487.8 | 36 | 9.7 | even | 3 | |||
891.2.f.e.730.8 | 36 | 99.70 | even | 15 | |||
891.2.f.f.487.2 | 36 | 9.2 | odd | 6 | |||
891.2.f.f.730.2 | 36 | 99.92 | odd | 30 | |||
1089.2.e.o.364.15 | 36 | 99.68 | even | 30 | |||
1089.2.e.o.727.15 | 36 | 33.2 | even | 10 | |||
1089.2.e.p.364.4 | 36 | 99.86 | odd | 30 | |||
1089.2.e.p.727.4 | 36 | 33.20 | odd | 10 | |||
9801.2.a.cm.1.15 | 18 | 99.20 | odd | 30 | |||
9801.2.a.cn.1.15 | 18 | 99.79 | odd | 30 | |||
9801.2.a.co.1.4 | 18 | 99.2 | even | 30 | |||
9801.2.a.cp.1.4 | 18 | 99.97 | even | 15 |