Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,3,Mod(5,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.h (of order \(54\), degree \(18\), 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: | \(324\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Character | \(\chi\) | \(=\) | 162.11 |
Dual form | 162.3.h.a.59.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{13}{54}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.02866 | − | 0.970492i | −0.514331 | − | 0.485246i | ||||
\(3\) | −2.72678 | + | 1.25087i | −0.908926 | + | 0.416958i | ||||
\(4\) | 0.116290 | + | 1.99662i | 0.0290724 | + | 0.499154i | ||||
\(5\) | 0.295075 | − | 2.52452i | 0.0590149 | − | 0.504905i | −0.931112 | − | 0.364733i | \(-0.881160\pi\) |
0.990127 | − | 0.140172i | \(-0.0447656\pi\) | |||||||
\(6\) | 4.01889 | + | 1.35959i | 0.669816 | + | 0.226599i | ||||
\(7\) | −6.23888 | + | 3.13328i | −0.891269 | + | 0.447612i | −0.834648 | − | 0.550784i | \(-0.814329\pi\) |
−0.0566208 | + | 0.998396i | \(0.518033\pi\) | |||||||
\(8\) | 1.81808 | − | 2.16670i | 0.227260 | − | 0.270838i | ||||
\(9\) | 5.87063 | − | 6.82170i | 0.652293 | − | 0.757967i | ||||
\(10\) | −2.75356 | + | 2.31051i | −0.275356 | + | 0.231051i | ||||
\(11\) | 10.3778 | + | 4.47654i | 0.943436 | + | 0.406959i | 0.811535 | − | 0.584304i | \(-0.198633\pi\) |
0.131901 | + | 0.991263i | \(0.457892\pi\) | |||||||
\(12\) | −2.81461 | − | 5.29887i | −0.234551 | − | 0.441572i | ||||
\(13\) | 5.22076 | − | 1.23734i | 0.401597 | − | 0.0951802i | −0.0248536 | − | 0.999691i | \(-0.507912\pi\) |
0.426451 | + | 0.904511i | \(0.359764\pi\) | |||||||
\(14\) | 9.45853 | + | 2.83170i | 0.675609 | + | 0.202264i | ||||
\(15\) | 2.35326 | + | 7.25292i | 0.156884 | + | 0.483528i | ||||
\(16\) | −3.97295 | + | 0.464372i | −0.248310 | + | 0.0290232i | ||||
\(17\) | 26.6621 | − | 4.70125i | 1.56836 | − | 0.276544i | 0.679134 | − | 0.734015i | \(-0.262356\pi\) |
0.889225 | + | 0.457471i | \(0.151244\pi\) | |||||||
\(18\) | −12.6593 | + | 1.31982i | −0.703295 | + | 0.0733234i | ||||
\(19\) | 4.51377 | − | 25.5989i | 0.237567 | − | 1.34731i | −0.599573 | − | 0.800320i | \(-0.704663\pi\) |
0.837140 | − | 0.546989i | \(-0.184226\pi\) | |||||||
\(20\) | 5.07482 | + | 0.295575i | 0.253741 | + | 0.0147787i | ||||
\(21\) | 13.0927 | − | 16.3478i | 0.623462 | − | 0.778467i | ||||
\(22\) | −6.33079 | − | 14.6764i | −0.287763 | − | 0.667110i | ||||
\(23\) | 0.334113 | − | 0.665273i | 0.0145266 | − | 0.0289249i | −0.886252 | − | 0.463203i | \(-0.846700\pi\) |
0.900779 | + | 0.434278i | \(0.142996\pi\) | |||||||
\(24\) | −2.24723 | + | 8.18230i | −0.0936345 | + | 0.340929i | ||||
\(25\) | 18.0400 | + | 4.27555i | 0.721599 | + | 0.171022i | ||||
\(26\) | −6.57123 | − | 3.79390i | −0.252739 | − | 0.145919i | ||||
\(27\) | −7.47483 | + | 25.9447i | −0.276846 | + | 0.960914i | ||||
\(28\) | −6.98148 | − | 12.0923i | −0.249339 | − | 0.431867i | ||||
\(29\) | 29.3530 | − | 8.78772i | 1.01217 | − | 0.303025i | 0.262570 | − | 0.964913i | \(-0.415430\pi\) |
0.749603 | + | 0.661888i | \(0.230245\pi\) | |||||||
\(30\) | 4.61820 | − | 9.74462i | 0.153940 | − | 0.324821i | ||||
\(31\) | −2.15112 | + | 1.41481i | −0.0693908 | + | 0.0456391i | −0.583730 | − | 0.811948i | \(-0.698407\pi\) |
0.514340 | + | 0.857587i | \(0.328037\pi\) | |||||||
\(32\) | 4.53749 | + | 3.37804i | 0.141797 | + | 0.105564i | ||||
\(33\) | −33.8975 | + | 0.774761i | −1.02720 | + | 0.0234776i | ||||
\(34\) | −31.9888 | − | 21.0394i | −0.940847 | − | 0.618805i | ||||
\(35\) | 6.06912 | + | 16.6748i | 0.173403 | + | 0.476422i | ||||
\(36\) | 14.3030 | + | 10.9281i | 0.397306 | + | 0.303559i | ||||
\(37\) | −55.2668 | − | 20.1155i | −1.49370 | − | 0.543661i | −0.539276 | − | 0.842129i | \(-0.681302\pi\) |
−0.954420 | + | 0.298468i | \(0.903524\pi\) | |||||||
\(38\) | −29.4867 | + | 21.9520i | −0.775965 | + | 0.577684i | ||||
\(39\) | −12.6881 | + | 9.90446i | −0.325336 | + | 0.253961i | ||||
\(40\) | −4.93342 | − | 5.22912i | −0.123336 | − | 0.130728i | ||||
\(41\) | 18.9929 | − | 17.9189i | 0.463242 | − | 0.437047i | −0.418898 | − | 0.908033i | \(-0.637583\pi\) |
0.882140 | + | 0.470987i | \(0.156102\pi\) | |||||||
\(42\) | −29.3334 | + | 4.11000i | −0.698414 | + | 0.0978573i | ||||
\(43\) | 39.2683 | + | 52.7465i | 0.913216 | + | 1.22666i | 0.973548 | + | 0.228483i | \(0.0733767\pi\) |
−0.0603319 | + | 0.998178i | \(0.519216\pi\) | |||||||
\(44\) | −7.73111 | + | 21.2411i | −0.175707 | + | 0.482751i | ||||
\(45\) | −15.4893 | − | 16.8335i | −0.344206 | − | 0.374077i | ||||
\(46\) | −0.989331 | + | 0.360087i | −0.0215072 | + | 0.00782798i | ||||
\(47\) | −26.6495 | + | 40.5186i | −0.567011 | + | 0.862099i | −0.999212 | − | 0.0396786i | \(-0.987367\pi\) |
0.432201 | + | 0.901777i | \(0.357737\pi\) | |||||||
\(48\) | 10.2525 | − | 6.23590i | 0.213594 | − | 0.129915i | ||||
\(49\) | −0.154599 | + | 0.207663i | −0.00315508 | + | 0.00423801i | ||||
\(50\) | −14.4076 | − | 21.9057i | −0.288153 | − | 0.438115i | ||||
\(51\) | −66.8209 | + | 46.1701i | −1.31021 | + | 0.905297i | ||||
\(52\) | 3.07762 | + | 10.2800i | 0.0591850 | + | 0.197692i | ||||
\(53\) | 16.6439 | − | 9.60938i | 0.314036 | − | 0.181309i | −0.334695 | − | 0.942327i | \(-0.608633\pi\) |
0.648731 | + | 0.761018i | \(0.275300\pi\) | |||||||
\(54\) | 32.8682 | − | 19.4340i | 0.608670 | − | 0.359890i | ||||
\(55\) | 14.3634 | − | 24.8781i | 0.261152 | − | 0.452329i | ||||
\(56\) | −4.55388 | + | 19.2143i | −0.0813193 | + | 0.343113i | ||||
\(57\) | 19.7129 | + | 75.4486i | 0.345840 | + | 1.32366i | ||||
\(58\) | −38.7227 | − | 19.4473i | −0.667633 | − | 0.335298i | ||||
\(59\) | 87.7875 | − | 37.8678i | 1.48792 | − | 0.641827i | 0.511812 | − | 0.859098i | \(-0.328974\pi\) |
0.976112 | + | 0.217270i | \(0.0697152\pi\) | |||||||
\(60\) | −14.2076 | + | 5.54199i | −0.236794 | + | 0.0923665i | ||||
\(61\) | −2.75461 | + | 47.2949i | −0.0451576 | + | 0.775326i | 0.897387 | + | 0.441245i | \(0.145463\pi\) |
−0.942544 | + | 0.334081i | \(0.891574\pi\) | |||||||
\(62\) | 3.58583 | + | 0.632279i | 0.0578360 | + | 0.0101981i | ||||
\(63\) | −15.2519 | + | 60.9542i | −0.242093 | + | 0.967526i | ||||
\(64\) | −1.38919 | − | 7.87846i | −0.0217060 | − | 0.123101i | ||||
\(65\) | −1.58319 | − | 13.5450i | −0.0243567 | − | 0.208385i | ||||
\(66\) | 35.6210 | + | 32.1003i | 0.539712 | + | 0.486369i | ||||
\(67\) | −0.127901 | + | 0.427218i | −0.00190896 | + | 0.00637638i | −0.958939 | − | 0.283613i | \(-0.908467\pi\) |
0.957030 | + | 0.289990i | \(0.0936519\pi\) | |||||||
\(68\) | 12.4871 | + | 52.6873i | 0.183634 | + | 0.774813i | ||||
\(69\) | −0.0788791 | + | 2.23198i | −0.00114317 | + | 0.0323476i | ||||
\(70\) | 9.93966 | − | 23.0427i | 0.141995 | − | 0.329182i | ||||
\(71\) | −42.0686 | − | 50.1354i | −0.592515 | − | 0.706132i | 0.383572 | − | 0.923511i | \(-0.374694\pi\) |
−0.976087 | + | 0.217379i | \(0.930249\pi\) | |||||||
\(72\) | −4.10732 | − | 25.1223i | −0.0570461 | − | 0.348921i | ||||
\(73\) | −75.1252 | − | 63.0375i | −1.02911 | − | 0.863528i | −0.0383675 | − | 0.999264i | \(-0.512216\pi\) |
−0.990745 | + | 0.135736i | \(0.956660\pi\) | |||||||
\(74\) | 37.3289 | + | 74.3279i | 0.504445 | + | 1.00443i | ||||
\(75\) | −54.5392 | + | 10.9072i | −0.727189 | + | 0.145430i | ||||
\(76\) | 51.6360 | + | 6.03539i | 0.679422 | + | 0.0794130i | ||||
\(77\) | −78.7721 | + | 4.58795i | −1.02301 | + | 0.0595838i | ||||
\(78\) | 22.6640 | + | 2.12535i | 0.290564 | + | 0.0272481i | ||||
\(79\) | 38.4502 | − | 40.7549i | 0.486712 | − | 0.515884i | −0.436746 | − | 0.899585i | \(-0.643869\pi\) |
0.923458 | + | 0.383701i | \(0.125351\pi\) | |||||||
\(80\) | 10.1668i | 0.127086i | ||||||||
\(81\) | −12.0713 | − | 80.0955i | −0.149028 | − | 0.988833i | ||||
\(82\) | −36.9275 | −0.450335 | ||||||||
\(83\) | −42.1787 | − | 39.7935i | −0.508177 | − | 0.479440i | 0.388922 | − | 0.921271i | \(-0.372848\pi\) |
−0.897098 | + | 0.441831i | \(0.854329\pi\) | |||||||
\(84\) | 34.1629 | + | 24.2400i | 0.406701 | + | 0.288572i | ||||
\(85\) | −4.00111 | − | 68.6963i | −0.0470718 | − | 0.808192i | ||||
\(86\) | 10.7963 | − | 92.3678i | 0.125538 | − | 1.07404i | ||||
\(87\) | −69.0468 | + | 60.6790i | −0.793642 | + | 0.697460i | ||||
\(88\) | 28.5670 | − | 14.3469i | 0.324625 | − | 0.163033i | ||||
\(89\) | 59.8660 | − | 71.3456i | 0.672652 | − | 0.801636i | −0.316490 | − | 0.948596i | \(-0.602504\pi\) |
0.989142 | + | 0.146960i | \(0.0469489\pi\) | |||||||
\(90\) | −0.403520 | + | 32.3482i | −0.00448356 | + | 0.359424i | ||||
\(91\) | −28.6948 | + | 24.0778i | −0.315327 | + | 0.264591i | ||||
\(92\) | 1.36715 | + | 0.589730i | 0.0148603 | + | 0.00641011i | ||||
\(93\) | 4.09587 | − | 6.54865i | 0.0440416 | − | 0.0704156i | ||||
\(94\) | 66.7364 | − | 15.8168i | 0.709961 | − | 0.168264i | ||||
\(95\) | −63.2931 | − | 18.9487i | −0.666243 | − | 0.199460i | ||||
\(96\) | −16.5982 | − | 3.53533i | −0.172898 | − | 0.0368264i | ||||
\(97\) | 75.6964 | − | 8.84764i | 0.780376 | − | 0.0912128i | 0.283428 | − | 0.958993i | \(-0.408528\pi\) |
0.496947 | + | 0.867781i | \(0.334454\pi\) | |||||||
\(98\) | 0.360565 | − | 0.0635774i | 0.00367924 | − | 0.000648749i | ||||
\(99\) | 91.4619 | − | 44.5141i | 0.923858 | − | 0.449637i | ||||
\(100\) | −6.43877 | + | 36.5161i | −0.0643877 | + | 0.365161i | ||||
\(101\) | 51.4621 | + | 2.99732i | 0.509525 | + | 0.0296765i | 0.310982 | − | 0.950416i | \(-0.399342\pi\) |
0.198543 | + | 0.980092i | \(0.436379\pi\) | |||||||
\(102\) | 113.544 | + | 17.3558i | 1.11318 | + | 0.170154i | ||||
\(103\) | 11.7091 | + | 27.1448i | 0.113681 | + | 0.263542i | 0.965552 | − | 0.260209i | \(-0.0837915\pi\) |
−0.851871 | + | 0.523751i | \(0.824532\pi\) | |||||||
\(104\) | 6.81080 | − | 13.5614i | 0.0654884 | − | 0.130398i | ||||
\(105\) | −37.4071 | − | 37.8767i | −0.356258 | − | 0.360730i | ||||
\(106\) | −26.4468 | − | 6.26800i | −0.249498 | − | 0.0591321i | ||||
\(107\) | 64.9420 | + | 37.4943i | 0.606935 | + | 0.350414i | 0.771765 | − | 0.635908i | \(-0.219374\pi\) |
−0.164830 | + | 0.986322i | \(0.552708\pi\) | |||||||
\(108\) | −52.6708 | − | 11.9073i | −0.487693 | − | 0.110253i | ||||
\(109\) | 68.2905 | + | 118.283i | 0.626518 | + | 1.08516i | 0.988245 | + | 0.152877i | \(0.0488538\pi\) |
−0.361727 | + | 0.932284i | \(0.617813\pi\) | |||||||
\(110\) | −38.9190 | + | 11.6516i | −0.353809 | + | 0.105924i | ||||
\(111\) | 175.862 | − | 14.2813i | 1.58434 | − | 0.128660i | ||||
\(112\) | 23.3318 | − | 15.3456i | 0.208319 | − | 0.137014i | ||||
\(113\) | −79.0324 | − | 58.8374i | −0.699402 | − | 0.520685i | 0.187719 | − | 0.982223i | \(-0.439891\pi\) |
−0.887121 | + | 0.461538i | \(0.847298\pi\) | |||||||
\(114\) | 52.9444 | − | 96.7423i | 0.464424 | − | 0.848616i | ||||
\(115\) | −1.58091 | − | 1.03978i | −0.0137470 | − | 0.00904157i | ||||
\(116\) | 20.9591 | + | 57.5848i | 0.180682 | + | 0.496421i | ||||
\(117\) | 22.2084 | − | 42.8785i | 0.189815 | − | 0.366483i | ||||
\(118\) | −127.054 | − | 46.2439i | −1.07673 | − | 0.391897i | ||||
\(119\) | −151.611 | + | 112.870i | −1.27404 | + | 0.948491i | ||||
\(120\) | 19.9933 | + | 8.08757i | 0.166611 | + | 0.0673964i | ||||
\(121\) | 4.62396 | + | 4.90112i | 0.0382146 | + | 0.0405051i | ||||
\(122\) | 48.7329 | − | 45.9771i | 0.399450 | − | 0.376861i | ||||
\(123\) | −29.3752 | + | 72.6187i | −0.238823 | + | 0.590396i | ||||
\(124\) | −3.07499 | − | 4.13043i | −0.0247983 | − | 0.0333099i | ||||
\(125\) | 37.8498 | − | 103.991i | 0.302798 | − | 0.831931i | ||||
\(126\) | 74.8445 | − | 47.8994i | 0.594004 | − | 0.380154i | ||||
\(127\) | 111.688 | − | 40.6511i | 0.879434 | − | 0.320088i | 0.137453 | − | 0.990508i | \(-0.456109\pi\) |
0.741981 | + | 0.670421i | \(0.233886\pi\) | |||||||
\(128\) | −6.21698 | + | 9.45247i | −0.0485702 | + | 0.0738474i | ||||
\(129\) | −173.055 | − | 94.7082i | −1.34151 | − | 0.734172i | ||||
\(130\) | −11.5168 | + | 15.4697i | −0.0885907 | + | 0.118998i | ||||
\(131\) | −33.9455 | − | 51.6117i | −0.259126 | − | 0.393982i | 0.682369 | − | 0.731008i | \(-0.260950\pi\) |
−0.941496 | + | 0.337025i | \(0.890579\pi\) | |||||||
\(132\) | −5.48883 | − | 67.5903i | −0.0415821 | − | 0.512047i | ||||
\(133\) | 52.0477 | + | 173.851i | 0.391336 | + | 1.30715i | ||||
\(134\) | 0.546178 | − | 0.315336i | 0.00407595 | − | 0.00235325i | ||||
\(135\) | 63.2924 | + | 26.5260i | 0.468832 | + | 0.196489i | ||||
\(136\) | 38.2876 | − | 66.3160i | 0.281526 | − | 0.487618i | ||||
\(137\) | −35.6560 | + | 150.444i | −0.260263 | + | 1.09813i | 0.673200 | + | 0.739460i | \(0.264919\pi\) |
−0.933463 | + | 0.358674i | \(0.883229\pi\) | |||||||
\(138\) | 2.24726 | − | 2.21940i | 0.0162845 | − | 0.0160826i | ||||
\(139\) | 59.2668 | + | 29.7649i | 0.426380 | + | 0.214136i | 0.649031 | − | 0.760762i | \(-0.275175\pi\) |
−0.222651 | + | 0.974898i | \(0.571471\pi\) | |||||||
\(140\) | −32.5873 | + | 14.0568i | −0.232767 | + | 0.100406i | ||||
\(141\) | 21.9837 | − | 143.820i | 0.155913 | − | 1.02000i | ||||
\(142\) | −5.38166 | + | 92.3996i | −0.0378990 | + | 0.650701i | ||||
\(143\) | 59.7190 | + | 10.5301i | 0.417615 | + | 0.0736369i | ||||
\(144\) | −20.1560 | + | 29.8285i | −0.139972 | + | 0.207142i | ||||
\(145\) | −13.5235 | − | 76.6954i | −0.0932654 | − | 0.528934i | ||||
\(146\) | 16.1010 | + | 137.753i | 0.110281 | + | 0.943512i | ||||
\(147\) | 0.161798 | − | 0.759634i | 0.00110067 | − | 0.00516758i | ||||
\(148\) | 33.7359 | − | 112.686i | 0.227945 | − | 0.761390i | ||||
\(149\) | −20.0336 | − | 84.5283i | −0.134454 | − | 0.567304i | −0.998010 | − | 0.0630524i | \(-0.979916\pi\) |
0.863557 | − | 0.504252i | \(-0.168232\pi\) | |||||||
\(150\) | 66.6877 | + | 41.7100i | 0.444585 | + | 0.278067i | ||||
\(151\) | −99.9473 | + | 231.704i | −0.661903 | + | 1.53446i | 0.173505 | + | 0.984833i | \(0.444491\pi\) |
−0.835408 | + | 0.549630i | \(0.814769\pi\) | |||||||
\(152\) | −47.2587 | − | 56.3207i | −0.310913 | − | 0.370531i | ||||
\(153\) | 124.453 | − | 209.480i | 0.813418 | − | 1.36915i | ||||
\(154\) | 85.4824 | + | 71.7283i | 0.555081 | + | 0.465768i | ||||
\(155\) | 2.93699 | + | 5.84802i | 0.0189483 | + | 0.0377292i | ||||
\(156\) | −21.2509 | − | 24.1815i | −0.136224 | − | 0.155009i | ||||
\(157\) | 248.074 | + | 28.9956i | 1.58009 | + | 0.184686i | 0.860402 | − | 0.509616i | \(-0.170213\pi\) |
0.719684 | + | 0.694302i | \(0.244287\pi\) | |||||||
\(158\) | −79.1046 | + | 4.60732i | −0.500662 | + | 0.0291602i | ||||
\(159\) | −33.3642 | + | 47.0221i | −0.209838 | + | 0.295736i | ||||
\(160\) | 9.86684 | − | 10.4582i | 0.0616678 | − | 0.0653640i | ||||
\(161\) | 5.19743i | 0.0322822i | ||||||||
\(162\) | −65.3147 | + | 94.1062i | −0.403177 | + | 0.580903i | ||||
\(163\) | −183.742 | −1.12725 | −0.563627 | − | 0.826030i | \(-0.690594\pi\) | ||||
−0.563627 | + | 0.826030i | \(0.690594\pi\) | |||||||
\(164\) | 37.9859 | + | 35.8378i | 0.231621 | + | 0.218523i | ||||
\(165\) | −8.04640 | + | 85.8038i | −0.0487660 | + | 0.520023i | ||||
\(166\) | 4.76828 | + | 81.8682i | 0.0287246 | + | 0.493182i | ||||
\(167\) | 2.97218 | − | 25.4286i | 0.0177975 | − | 0.152267i | −0.981417 | − | 0.191885i | \(-0.938540\pi\) |
0.999215 | + | 0.0396178i | \(0.0126140\pi\) | |||||||
\(168\) | −11.6173 | − | 58.0896i | −0.0691504 | − | 0.345771i | ||||
\(169\) | −125.299 | + | 62.9273i | −0.741412 | + | 0.372351i | ||||
\(170\) | −62.5535 | + | 74.5483i | −0.367962 | + | 0.438520i | ||||
\(171\) | −148.129 | − | 181.073i | −0.866253 | − | 1.05891i | ||||
\(172\) | −100.748 | + | 84.5376i | −0.585744 | + | 0.491497i | ||||
\(173\) | −126.939 | − | 54.7561i | −0.733750 | − | 0.316509i | −0.00378467 | − | 0.999993i | \(-0.501205\pi\) |
−0.729966 | + | 0.683484i | \(0.760464\pi\) | |||||||
\(174\) | 129.914 | + | 4.59122i | 0.746634 | + | 0.0263863i | ||||
\(175\) | −125.946 | + | 29.8497i | −0.719690 | + | 0.170570i | ||||
\(176\) | −43.3093 | − | 12.9659i | −0.246075 | − | 0.0736702i | ||||
\(177\) | −192.009 | + | 213.068i | −1.08480 | + | 1.20377i | ||||
\(178\) | −130.822 | + | 15.2909i | −0.734956 | + | 0.0859041i | ||||
\(179\) | 247.037 | − | 43.5593i | 1.38009 | − | 0.243348i | 0.566155 | − | 0.824299i | \(-0.308430\pi\) |
0.813939 | + | 0.580951i | \(0.197319\pi\) | |||||||
\(180\) | 31.8087 | − | 32.8837i | 0.176715 | − | 0.182687i | ||||
\(181\) | −6.60913 | + | 37.4822i | −0.0365145 | + | 0.207084i | −0.997607 | − | 0.0691437i | \(-0.977973\pi\) |
0.961092 | + | 0.276228i | \(0.0890844\pi\) | |||||||
\(182\) | 52.8845 | + | 3.08017i | 0.290574 | + | 0.0169240i | ||||
\(183\) | −51.6487 | − | 132.408i | −0.282233 | − | 0.723543i | ||||
\(184\) | −0.834005 | − | 1.93344i | −0.00453263 | − | 0.0105078i | ||||
\(185\) | −67.0898 | + | 133.587i | −0.362647 | + | 0.722090i | ||||
\(186\) | −10.5687 | + | 2.76134i | −0.0568208 | + | 0.0148459i | ||||
\(187\) | 297.739 | + | 70.5655i | 1.59219 | + | 0.377355i | ||||
\(188\) | −83.9992 | − | 48.4970i | −0.446804 | − | 0.257963i | ||||
\(189\) | −34.6575 | − | 185.287i | −0.183373 | − | 0.980352i | ||||
\(190\) | 46.7176 | + | 80.9173i | 0.245882 | + | 0.425880i | ||||
\(191\) | −279.165 | + | 83.5764i | −1.46160 | + | 0.437573i | −0.916239 | − | 0.400632i | \(-0.868791\pi\) |
−0.545356 | + | 0.838204i | \(0.683606\pi\) | |||||||
\(192\) | 13.6430 | + | 19.7451i | 0.0710571 | + | 0.102839i | ||||
\(193\) | −272.919 | + | 179.501i | −1.41409 | + | 0.930059i | −0.414284 | + | 0.910148i | \(0.635968\pi\) |
−0.999802 | + | 0.0199114i | \(0.993662\pi\) | |||||||
\(194\) | −86.4526 | − | 64.3616i | −0.445632 | − | 0.331761i | ||||
\(195\) | 21.2601 | + | 34.9540i | 0.109026 | + | 0.179251i | ||||
\(196\) | −0.432601 | − | 0.284526i | −0.00220715 | − | 0.00145166i | ||||
\(197\) | 121.680 | + | 334.312i | 0.617663 | + | 1.69702i | 0.712634 | + | 0.701536i | \(0.247502\pi\) |
−0.0949705 | + | 0.995480i | \(0.530276\pi\) | |||||||
\(198\) | −137.284 | − | 42.9731i | −0.693353 | − | 0.217036i | ||||
\(199\) | −146.742 | − | 53.4098i | −0.737398 | − | 0.268391i | −0.0541051 | − | 0.998535i | \(-0.517231\pi\) |
−0.683293 | + | 0.730144i | \(0.739453\pi\) | |||||||
\(200\) | 42.0619 | − | 31.3139i | 0.210310 | − | 0.156570i | ||||
\(201\) | −0.185639 | − | 1.32491i | −0.000923575 | − | 0.00659162i | ||||
\(202\) | −50.0282 | − | 53.0268i | −0.247664 | − | 0.262509i | ||||
\(203\) | −155.596 | + | 146.797i | −0.766481 | + | 0.723137i | ||||
\(204\) | −99.9546 | − | 128.047i | −0.489974 | − | 0.627680i | ||||
\(205\) | −39.6324 | − | 53.2356i | −0.193329 | − | 0.259686i | ||||
\(206\) | 14.2991 | − | 39.2864i | 0.0694131 | − | 0.190711i | ||||
\(207\) | −2.57684 | − | 6.18479i | −0.0124485 | − | 0.0298782i | ||||
\(208\) | −20.1672 | + | 7.34028i | −0.0969579 | + | 0.0352898i | ||||
\(209\) | 161.438 | − | 245.454i | 0.772428 | − | 1.17442i | ||||
\(210\) | 1.72027 | + | 75.2656i | 0.00819176 | + | 0.358408i | ||||
\(211\) | 166.048 | − | 223.041i | 0.786957 | − | 1.05707i | −0.209891 | − | 0.977725i | \(-0.567311\pi\) |
0.996847 | − | 0.0793415i | \(-0.0252818\pi\) | |||||||
\(212\) | 21.1218 | + | 32.1141i | 0.0996309 | + | 0.151481i | ||||
\(213\) | 177.425 | + | 84.0856i | 0.832979 | + | 0.394768i | ||||
\(214\) | −30.4155 | − | 101.595i | −0.142128 | − | 0.474741i | ||||
\(215\) | 144.747 | − | 83.5696i | 0.673241 | − | 0.388696i | ||||
\(216\) | 42.6246 | + | 63.3652i | 0.197336 | + | 0.293357i | ||||
\(217\) | 8.98755 | − | 15.5669i | 0.0414173 | − | 0.0717369i | ||||
\(218\) | 44.5445 | − | 187.948i | 0.204333 | − | 0.862147i | ||||
\(219\) | 283.702 | + | 77.9173i | 1.29544 | + | 0.355787i | ||||
\(220\) | 51.3423 | + | 25.7851i | 0.233374 | + | 0.117205i | ||||
\(221\) | 133.379 | − | 57.5342i | 0.603526 | − | 0.260336i | ||||
\(222\) | −194.762 | − | 155.982i | −0.877308 | − | 0.702622i | ||||
\(223\) | −2.76369 | + | 47.4507i | −0.0123932 | + | 0.212783i | 0.986426 | + | 0.164205i | \(0.0525060\pi\) |
−0.998819 | + | 0.0485780i | \(0.984531\pi\) | |||||||
\(224\) | −38.8932 | − | 6.85793i | −0.173631 | − | 0.0306158i | ||||
\(225\) | 135.073 | − | 97.9631i | 0.600323 | − | 0.435392i | ||||
\(226\) | 24.1963 | + | 137.224i | 0.107063 | + | 0.607186i | ||||
\(227\) | −44.8118 | − | 383.389i | −0.197409 | − | 1.68894i | −0.621574 | − | 0.783355i | \(-0.713507\pi\) |
0.424166 | − | 0.905585i | \(-0.360567\pi\) | |||||||
\(228\) | −148.349 | + | 48.1330i | −0.650656 | + | 0.211109i | ||||
\(229\) | 35.4429 | − | 118.388i | 0.154773 | − | 0.516976i | −0.845071 | − | 0.534654i | \(-0.820442\pi\) |
0.999844 | + | 0.0176774i | \(0.00562718\pi\) | |||||||
\(230\) | 0.617122 | + | 2.60384i | 0.00268314 | + | 0.0113211i | ||||
\(231\) | 209.055 | − | 111.044i | 0.905001 | − | 0.480711i | ||||
\(232\) | 34.3257 | − | 79.5760i | 0.147956 | − | 0.343000i | ||||
\(233\) | −89.6048 | − | 106.787i | −0.384570 | − | 0.458312i | 0.538681 | − | 0.842510i | \(-0.318923\pi\) |
−0.923251 | + | 0.384197i | \(0.874478\pi\) | |||||||
\(234\) | −64.4581 | + | 22.5544i | −0.275462 | + | 0.0963862i | ||||
\(235\) | 94.4267 | + | 79.2334i | 0.401816 | + | 0.337163i | ||||
\(236\) | 85.8163 | + | 170.874i | 0.363628 | + | 0.724044i | ||||
\(237\) | −53.8661 | + | 159.226i | −0.227283 | + | 0.671839i | ||||
\(238\) | 265.497 | + | 31.0321i | 1.11553 | + | 0.130387i | ||||
\(239\) | −404.834 | + | 23.5789i | −1.69387 | + | 0.0986565i | −0.877715 | − | 0.479182i | \(-0.840933\pi\) |
−0.816151 | + | 0.577839i | \(0.803896\pi\) | |||||||
\(240\) | −12.7174 | − | 27.7227i | −0.0529893 | − | 0.115511i | ||||
\(241\) | −148.183 | + | 157.064i | −0.614865 | + | 0.651719i | −0.957731 | − | 0.287665i | \(-0.907121\pi\) |
0.342866 | + | 0.939384i | \(0.388602\pi\) | |||||||
\(242\) | − | 9.52911i | − | 0.0393765i | ||||||
\(243\) | 133.105 | + | 203.303i | 0.547757 | + | 0.836637i | ||||
\(244\) | −94.7501 | −0.388320 | ||||||||
\(245\) | 0.478631 | + | 0.451565i | 0.00195360 | + | 0.00184312i | ||||
\(246\) | 100.693 | − | 46.1916i | 0.409321 | − | 0.187771i | ||||
\(247\) | −8.10926 | − | 139.231i | −0.0328310 | − | 0.563687i | ||||
\(248\) | −0.845424 | + | 7.23306i | −0.00340897 | + | 0.0291656i | ||||
\(249\) | 164.789 | + | 55.7480i | 0.661801 | + | 0.223887i | ||||
\(250\) | −139.857 | + | 70.2391i | −0.559430 | + | 0.280956i | ||||
\(251\) | −315.635 | + | 376.159i | −1.25751 | + | 1.49864i | −0.469564 | + | 0.882898i | \(0.655589\pi\) |
−0.787946 | + | 0.615744i | \(0.788855\pi\) | |||||||
\(252\) | −123.476 | − | 23.3638i | −0.489983 | − | 0.0927133i | ||||
\(253\) | 6.44548 | − | 5.40840i | 0.0254762 | − | 0.0213771i | ||||
\(254\) | −154.341 | − | 66.5762i | −0.607641 | − | 0.262111i | ||||
\(255\) | 96.8405 | + | 182.315i | 0.379767 | + | 0.714960i | ||||
\(256\) | 15.5687 | − | 3.68985i | 0.0608153 | − | 0.0144135i | ||||
\(257\) | −32.0258 | − | 9.58791i | −0.124614 | − | 0.0373070i | 0.223889 | − | 0.974615i | \(-0.428125\pi\) |
−0.348503 | + | 0.937308i | \(0.613310\pi\) | |||||||
\(258\) | 86.1014 | + | 265.371i | 0.333726 | + | 1.02857i | ||||
\(259\) | 407.830 | − | 47.6685i | 1.57463 | − | 0.184048i | ||||
\(260\) | 26.8601 | − | 4.73617i | 0.103308 | − | 0.0182160i | ||||
\(261\) | 112.374 | − | 251.827i | 0.430550 | − | 0.964855i | ||||
\(262\) | −15.1703 | + | 86.0349i | −0.0579018 | + | 0.328377i | ||||
\(263\) | 123.894 | + | 7.21602i | 0.471081 | + | 0.0274373i | 0.292044 | − | 0.956405i | \(-0.405665\pi\) |
0.179037 | + | 0.983842i | \(0.442702\pi\) | |||||||
\(264\) | −59.9497 | + | 74.8544i | −0.227082 | + | 0.283539i | ||||
\(265\) | −19.3479 | − | 44.8535i | −0.0730110 | − | 0.169258i | ||||
\(266\) | 115.182 | − | 229.346i | 0.433015 | − | 0.862203i | ||||
\(267\) | −73.9972 | + | 269.428i | −0.277143 | + | 1.00909i | ||||
\(268\) | −0.867863 | − | 0.205687i | −0.00323830 | − | 0.000767490i | ||||
\(269\) | 380.179 | + | 219.497i | 1.41331 | + | 0.815973i | 0.995698 | − | 0.0926549i | \(-0.0295353\pi\) |
0.417608 | + | 0.908627i | \(0.362869\pi\) | |||||||
\(270\) | −39.3631 | − | 88.7110i | −0.145789 | − | 0.328559i | ||||
\(271\) | −66.4360 | − | 115.070i | −0.245151 | − | 0.424614i | 0.717023 | − | 0.697050i | \(-0.245504\pi\) |
−0.962174 | + | 0.272435i | \(0.912171\pi\) | |||||||
\(272\) | −103.744 | + | 31.0590i | −0.381412 | + | 0.114187i | ||||
\(273\) | 48.1260 | − | 101.548i | 0.176286 | − | 0.371971i | ||||
\(274\) | 182.683 | − | 120.153i | 0.666726 | − | 0.438513i | ||||
\(275\) | 168.075 | + | 125.127i | 0.611183 | + | 0.455009i | ||||
\(276\) | −4.46559 | + | 0.102065i | −0.0161797 | + | 0.000369802i | ||||
\(277\) | −379.065 | − | 249.315i | −1.36846 | − | 0.900053i | −0.368897 | − | 0.929470i | \(-0.620265\pi\) |
−0.999567 | + | 0.0294167i | \(0.990635\pi\) | |||||||
\(278\) | −32.0789 | − | 88.1361i | −0.115392 | − | 0.317036i | ||||
\(279\) | −2.97699 | + | 22.9801i | −0.0106702 | + | 0.0823660i | ||||
\(280\) | 47.1633 | + | 17.1661i | 0.168441 | + | 0.0613073i | ||||
\(281\) | 253.445 | − | 188.682i | 0.901938 | − | 0.671468i | −0.0428743 | − | 0.999080i | \(-0.513651\pi\) |
0.944812 | + | 0.327613i | \(0.106244\pi\) | |||||||
\(282\) | −162.190 | + | 126.608i | −0.575143 | + | 0.448963i | ||||
\(283\) | −30.3383 | − | 32.1567i | −0.107202 | − | 0.113628i | 0.671550 | − | 0.740959i | \(-0.265629\pi\) |
−0.778753 | + | 0.627331i | \(0.784147\pi\) | |||||||
\(284\) | 95.2090 | − | 89.8250i | 0.335243 | − | 0.316285i | ||||
\(285\) | 196.289 | − | 27.5027i | 0.688732 | − | 0.0965007i | ||||
\(286\) | −51.2113 | − | 68.7887i | −0.179060 | − | 0.240520i | ||||
\(287\) | −62.3497 | + | 171.304i | −0.217246 | + | 0.596879i | ||||
\(288\) | 49.6820 | − | 11.1222i | 0.172507 | − | 0.0386188i | ||||
\(289\) | 417.194 | − | 151.846i | 1.44358 | − | 0.525420i | ||||
\(290\) | −60.5213 | + | 92.0181i | −0.208694 | + | 0.317304i | ||||
\(291\) | −195.340 | + | 118.812i | −0.671272 | + | 0.408289i | ||||
\(292\) | 117.126 | − | 157.327i | 0.401115 | − | 0.538791i | ||||
\(293\) | 270.469 | + | 411.229i | 0.923104 | + | 1.40351i | 0.914960 | + | 0.403544i | \(0.132222\pi\) |
0.00814323 | + | 0.999967i | \(0.497408\pi\) | |||||||
\(294\) | −0.903654 | + | 0.624382i | −0.00307365 | + | 0.00212375i | ||||
\(295\) | −69.6944 | − | 232.795i | −0.236252 | − | 0.789137i | ||||
\(296\) | −144.063 | + | 83.1751i | −0.486701 | + | 0.280997i | ||||
\(297\) | −193.715 | + | 235.787i | −0.652238 | + | 0.793897i | ||||
\(298\) | −61.4263 | + | 106.394i | −0.206129 | + | 0.357025i | ||||
\(299\) | 0.921151 | − | 3.88664i | 0.00308077 | − | 0.0129988i | ||||
\(300\) | −28.1199 | − | 107.625i | −0.0937330 | − | 0.358751i | ||||
\(301\) | −410.260 | − | 206.040i | −1.36299 | − | 0.684519i | ||||
\(302\) | 327.679 | − | 141.347i | 1.08503 | − | 0.468036i | ||||
\(303\) | −144.075 | + | 56.1994i | −0.475495 | + | 0.185477i | ||||
\(304\) | −6.04562 | + | 103.799i | −0.0198869 | + | 0.341445i | ||||
\(305\) | 118.584 | + | 20.9096i | 0.388801 | + | 0.0685561i | ||||
\(306\) | −331.319 | + | 94.7037i | −1.08274 | + | 0.309489i | ||||
\(307\) | −47.3359 | − | 268.455i | −0.154189 | − | 0.874447i | −0.959524 | − | 0.281627i | \(-0.909126\pi\) |
0.805335 | − | 0.592820i | \(-0.201985\pi\) | |||||||
\(308\) | −18.3208 | − | 156.744i | −0.0594830 | − | 0.508910i | ||||
\(309\) | −65.8829 | − | 59.3712i | −0.213213 | − | 0.192140i | ||||
\(310\) | 2.65429 | − | 8.86596i | 0.00856224 | − | 0.0285999i | ||||
\(311\) | 37.8086 | + | 159.527i | 0.121571 | + | 0.512948i | 0.999421 | + | 0.0340134i | \(0.0108289\pi\) |
−0.877850 | + | 0.478935i | \(0.841023\pi\) | |||||||
\(312\) | −1.60793 | + | 45.4984i | −0.00515362 | + | 0.145828i | ||||
\(313\) | 80.3748 | − | 186.330i | 0.256788 | − | 0.595302i | −0.740240 | − | 0.672343i | \(-0.765288\pi\) |
0.997028 | + | 0.0770408i | \(0.0245472\pi\) | |||||||
\(314\) | −227.044 | − | 270.580i | −0.723069 | − | 0.861720i | ||||
\(315\) | 149.380 | + | 56.4897i | 0.474222 | + | 0.179332i | ||||
\(316\) | 85.8432 | + | 72.0310i | 0.271656 | + | 0.227946i | ||||
\(317\) | 98.1453 | + | 195.423i | 0.309607 | + | 0.616478i | 0.993593 | − | 0.113017i | \(-0.0360515\pi\) |
−0.683986 | + | 0.729495i | \(0.739755\pi\) | |||||||
\(318\) | 79.9550 | − | 15.9901i | 0.251431 | − | 0.0502834i | ||||
\(319\) | 343.958 | + | 40.2029i | 1.07824 | + | 0.126028i | ||||
\(320\) | −20.2993 | + | 1.18230i | −0.0634353 | + | 0.00369468i | ||||
\(321\) | −223.983 | − | 21.0044i | −0.697767 | − | 0.0654343i | ||||
\(322\) | 5.04406 | − | 5.34639i | 0.0156648 | − | 0.0166037i | ||||
\(323\) | − | 703.740i | − | 2.17876i | ||||||
\(324\) | 158.516 | − | 33.4160i | 0.489247 | − | 0.103136i | ||||
\(325\) | 99.4726 | 0.306070 | ||||||||
\(326\) | 189.009 | + | 178.320i | 0.579781 | + | 0.546995i | ||||
\(327\) | −334.169 | − | 237.108i | −1.02192 | − | 0.725100i | ||||
\(328\) | −4.29428 | − | 73.7300i | −0.0130923 | − | 0.224787i | ||||
\(329\) | 39.3068 | − | 336.291i | 0.119474 | − | 1.02216i | ||||
\(330\) | 91.5489 | − | 80.4541i | 0.277421 | − | 0.243800i | ||||
\(331\) | 19.7436 | − | 9.91560i | 0.0596483 | − | 0.0299565i | −0.418725 | − | 0.908113i | \(-0.637523\pi\) |
0.478373 | + | 0.878157i | \(0.341227\pi\) | |||||||
\(332\) | 74.5475 | − | 88.8422i | 0.224541 | − | 0.267597i | ||||
\(333\) | −461.673 | + | 258.923i | −1.38640 | + | 0.777546i | ||||
\(334\) | −27.7356 | + | 23.2730i | −0.0830408 | + | 0.0696795i | ||||
\(335\) | 1.04078 | + | 0.448949i | 0.00310681 | + | 0.00134015i | ||||
\(336\) | −44.4252 | + | 71.0290i | −0.132218 | + | 0.211396i | ||||
\(337\) | −418.901 | + | 99.2814i | −1.24303 | + | 0.294603i | −0.798957 | − | 0.601388i | \(-0.794615\pi\) |
−0.444072 | + | 0.895991i | \(0.646467\pi\) | |||||||
\(338\) | 189.960 | + | 56.8704i | 0.562013 | + | 0.168256i | ||||
\(339\) | 289.102 | + | 61.5771i | 0.852808 | + | 0.181643i | ||||
\(340\) | 136.695 | − | 15.9773i | 0.402044 | − | 0.0469922i | ||||
\(341\) | −28.6573 | + | 5.05306i | −0.0840390 | + | 0.0148183i | ||||
\(342\) | −23.3553 | + | 330.021i | −0.0682904 | + | 0.964975i | ||||
\(343\) | 59.7176 | − | 338.676i | 0.174104 | − | 0.987392i | ||||
\(344\) | 185.679 | + | 10.8145i | 0.539763 | + | 0.0314376i | ||||
\(345\) | 5.61142 | + | 0.857734i | 0.0162650 | + | 0.00248618i | ||||
\(346\) | 77.4368 | + | 179.519i | 0.223806 | + | 0.518840i | ||||
\(347\) | −153.214 | + | 305.074i | −0.441538 | + | 0.879175i | 0.557268 | + | 0.830332i | \(0.311849\pi\) |
−0.998807 | + | 0.0488423i | \(0.984447\pi\) | |||||||
\(348\) | −129.182 | − | 130.804i | −0.371213 | − | 0.375873i | ||||
\(349\) | 477.116 | + | 113.079i | 1.36710 | + | 0.324008i | 0.847677 | − | 0.530512i | \(-0.178000\pi\) |
0.519419 | + | 0.854520i | \(0.326149\pi\) | |||||||
\(350\) | 158.524 | + | 91.5241i | 0.452927 | + | 0.261497i | ||||
\(351\) | −6.92182 | + | 144.700i | −0.0197203 | + | 0.412250i | ||||
\(352\) | 31.9672 | + | 55.3689i | 0.0908160 | + | 0.157298i | ||||
\(353\) | −40.5965 | + | 12.1538i | −0.115004 | + | 0.0344300i | −0.343788 | − | 0.939047i | \(-0.611710\pi\) |
0.228784 | + | 0.973477i | \(0.426525\pi\) | |||||||
\(354\) | 404.293 | − | 32.8316i | 1.14207 | − | 0.0927447i | ||||
\(355\) | −138.981 | + | 91.4095i | −0.391497 | + | 0.257491i | ||||
\(356\) | 149.412 | + | 111.233i | 0.419695 | + | 0.312452i | ||||
\(357\) | 272.224 | − | 497.419i | 0.762532 | − | 1.39333i | ||||
\(358\) | −296.391 | − | 194.940i | −0.827909 | − | 0.544524i | ||||
\(359\) | −33.3924 | − | 91.7449i | −0.0930151 | − | 0.255557i | 0.884457 | − | 0.466622i | \(-0.154529\pi\) |
−0.977472 | + | 0.211065i | \(0.932307\pi\) | |||||||
\(360\) | −64.6338 | + | 2.95608i | −0.179538 | + | 0.00821134i | ||||
\(361\) | −295.699 | − | 107.626i | −0.819111 | − | 0.298132i | ||||
\(362\) | 43.1748 | − | 32.1424i | 0.119267 | − | 0.0887912i | ||||
\(363\) | −18.7392 | − | 7.58026i | −0.0516231 | − | 0.0208823i | ||||
\(364\) | −51.4109 | − | 54.4924i | −0.141239 | − | 0.149704i | ||||
\(365\) | −181.307 | + | 171.055i | −0.496733 | + | 0.468643i | ||||
\(366\) | −75.3722 | + | 186.328i | −0.205935 | + | 0.509093i | ||||
\(367\) | −413.282 | − | 555.134i | −1.12611 | − | 1.51263i | −0.830245 | − | 0.557398i | \(-0.811800\pi\) |
−0.295864 | − | 0.955230i | \(-0.595608\pi\) | |||||||
\(368\) | −1.01848 | + | 2.79825i | −0.00276761 | + | 0.00760394i | ||||
\(369\) | −10.7369 | − | 234.760i | −0.0290974 | − | 0.636205i | ||||
\(370\) | 198.658 | − | 72.3054i | 0.536912 | − | 0.195420i | ||||
\(371\) | −73.7306 | + | 112.102i | −0.198735 | + | 0.302161i | ||||
\(372\) | 13.5514 | + | 7.41633i | 0.0364286 | + | 0.0199364i | ||||
\(373\) | −273.618 | + | 367.533i | −0.733561 | + | 0.985344i | 0.266209 | + | 0.963915i | \(0.414229\pi\) |
−0.999770 | + | 0.0214284i | \(0.993179\pi\) | |||||||
\(374\) | −237.790 | − | 361.541i | −0.635801 | − | 0.966688i | ||||
\(375\) | 26.8721 | + | 330.907i | 0.0716589 | + | 0.882418i | ||||
\(376\) | 39.3408 | + | 131.408i | 0.104630 | + | 0.349488i | ||||
\(377\) | 142.372 | − | 82.1983i | 0.377644 | − | 0.218033i | ||||
\(378\) | −144.168 | + | 224.232i | −0.381398 | + | 0.593207i | ||||
\(379\) | −153.732 | + | 266.272i | −0.405625 | + | 0.702564i | −0.994394 | − | 0.105738i | \(-0.966280\pi\) |
0.588769 | + | 0.808302i | \(0.299613\pi\) | |||||||
\(380\) | 30.4730 | − | 128.576i | 0.0801920 | − | 0.338357i | ||||
\(381\) | −253.699 | + | 250.554i | −0.665877 | + | 0.657623i | ||||
\(382\) | 368.276 | + | 184.955i | 0.964074 | + | 0.484176i | ||||
\(383\) | 119.721 | − | 51.6427i | 0.312588 | − | 0.134837i | −0.234006 | − | 0.972235i | \(-0.575183\pi\) |
0.546594 | + | 0.837398i | \(0.315924\pi\) | |||||||
\(384\) | 5.12850 | − | 33.5514i | 0.0133555 | − | 0.0873735i | ||||
\(385\) | −11.6613 | + | 200.216i | −0.0302890 | + | 0.520041i | ||||
\(386\) | 454.946 | + | 80.2192i | 1.17862 | + | 0.207822i | ||||
\(387\) | 590.350 | + | 41.7786i | 1.52545 | + | 0.107955i | ||||
\(388\) | 26.4681 | + | 150.108i | 0.0682166 | + | 0.386876i | ||||
\(389\) | 21.3065 | + | 182.289i | 0.0547726 | + | 0.468609i | 0.992593 | + | 0.121488i | \(0.0387666\pi\) |
−0.937820 | + | 0.347121i | \(0.887159\pi\) | |||||||
\(390\) | 12.0531 | − | 56.5886i | 0.0309053 | − | 0.145099i | ||||
\(391\) | 5.78053 | − | 19.3083i | 0.0147840 | − | 0.0493819i | ||||
\(392\) | 0.168870 | + | 0.712517i | 0.000430790 | + | 0.00181764i | ||||
\(393\) | 157.122 | + | 98.2721i | 0.399801 | + | 0.250056i | ||||
\(394\) | 199.280 | − | 461.983i | 0.505787 | − | 1.17255i | ||||
\(395\) | −91.5410 | − | 109.094i | −0.231749 | − | 0.276188i | ||||
\(396\) | 99.5137 | + | 177.438i | 0.251297 | + | 0.448075i | ||||
\(397\) | −304.882 | − | 255.826i | −0.767964 | − | 0.644398i | 0.172223 | − | 0.985058i | \(-0.444905\pi\) |
−0.940187 | + | 0.340660i | \(0.889350\pi\) | |||||||
\(398\) | 99.1143 | + | 197.353i | 0.249031 | + | 0.495861i | ||||
\(399\) | −359.388 | − | 408.949i | −0.900722 | − | 1.02493i | ||||
\(400\) | −73.6574 | − | 8.60931i | −0.184143 | − | 0.0215233i | ||||
\(401\) | −50.2733 | + | 2.92808i | −0.125370 | + | 0.00730196i | −0.120715 | − | 0.992687i | \(-0.538519\pi\) |
−0.00465479 | + | 0.999989i | \(0.501482\pi\) | |||||||
\(402\) | −1.09486 | + | 1.54305i | −0.00272353 | + | 0.00383843i | ||||
\(403\) | −9.47985 | + | 10.0481i | −0.0235232 | + | 0.0249331i | ||||
\(404\) | 103.099i | 0.255194i | ||||||||
\(405\) | −205.765 | + | 6.84016i | −0.508061 | + | 0.0168893i | ||||
\(406\) | 302.520 | 0.745124 | ||||||||
\(407\) | −483.499 | − | 456.158i | −1.18796 | − | 1.12078i | ||||
\(408\) | −21.4488 | + | 228.722i | −0.0525706 | + | 0.560593i | ||||
\(409\) | 40.8839 | + | 701.950i | 0.0999607 | + | 1.71626i | 0.560110 | + | 0.828418i | \(0.310759\pi\) |
−0.460150 | + | 0.887841i | \(0.652204\pi\) | |||||||
\(410\) | −10.8964 | + | 93.2243i | −0.0265765 | + | 0.227376i | ||||
\(411\) | −90.9609 | − | 454.830i | −0.221316 | − | 1.10664i | ||||
\(412\) | −52.8361 | + | 26.5353i | −0.128243 | + | 0.0644060i | ||||
\(413\) | −429.045 | + | 511.316i | −1.03885 | + | 1.23805i | ||||
\(414\) | −3.35159 | + | 8.86286i | −0.00809564 | + | 0.0214079i | ||||
\(415\) | −112.906 | + | 94.7390i | −0.272062 | + | 0.228287i | ||||
\(416\) | 27.8690 | + | 12.0215i | 0.0669927 | + | 0.0288978i | ||||
\(417\) | −198.840 | − | 7.02706i | −0.476834 | − | 0.0168515i | ||||
\(418\) | −404.276 | + | 95.8151i | −0.967166 | + | 0.229223i | ||||
\(419\) | 340.805 | + | 102.030i | 0.813377 | + | 0.243509i | 0.666365 | − | 0.745626i | \(-0.267849\pi\) |
0.147012 | + | 0.989135i | \(0.453035\pi\) | |||||||
\(420\) | 71.2751 | − | 79.0924i | 0.169703 | − | 0.188315i | ||||
\(421\) | −538.749 | + | 62.9707i | −1.27969 | + | 0.149574i | −0.728639 | − | 0.684898i | \(-0.759847\pi\) |
−0.551050 | + | 0.834472i | \(0.685773\pi\) | |||||||
\(422\) | −387.267 | + | 68.2856i | −0.917693 | + | 0.161814i | ||||
\(423\) | 119.957 | + | 419.665i | 0.283585 | + | 0.992116i | ||||
\(424\) | 9.43931 | − | 53.5330i | 0.0222625 | − | 0.126257i | ||||
\(425\) | 501.084 | + | 29.1848i | 1.17902 | + | 0.0686701i | ||||
\(426\) | −100.905 | − | 258.685i | −0.236867 | − | 0.607241i | ||||
\(427\) | −131.003 | − | 303.698i | −0.306798 | − | 0.711237i | ||||
\(428\) | −67.3096 | + | 134.025i | −0.157266 | + | 0.313141i | ||||
\(429\) | −176.012 | + | 45.9877i | −0.410285 | + | 0.107197i | ||||
\(430\) | −229.999 | − | 54.5108i | −0.534882 | − | 0.126769i | ||||
\(431\) | −266.537 | − | 153.885i | −0.618416 | − | 0.357043i | 0.157836 | − | 0.987465i | \(-0.449548\pi\) |
−0.776252 | + | 0.630423i | \(0.782882\pi\) | |||||||
\(432\) | 17.6492 | − | 106.548i | 0.0408546 | − | 0.246639i | ||||
\(433\) | 231.362 | + | 400.731i | 0.534324 | + | 0.925476i | 0.999196 | + | 0.0400978i | \(0.0127669\pi\) |
−0.464872 | + | 0.885378i | \(0.653900\pi\) | |||||||
\(434\) | −24.3527 | + | 7.29072i | −0.0561122 | + | 0.0167989i | ||||
\(435\) | 132.812 | + | 192.215i | 0.305314 | + | 0.441874i | ||||
\(436\) | −228.223 | + | 150.105i | −0.523448 | + | 0.344277i | ||||
\(437\) | −15.5221 | − | 11.5558i | −0.0355197 | − | 0.0264435i | ||||
\(438\) | −216.215 | − | 355.481i | −0.493641 | − | 0.811600i | ||||
\(439\) | −662.202 | − | 435.537i | −1.50843 | − | 0.992112i | −0.990624 | − | 0.136616i | \(-0.956377\pi\) |
−0.517809 | − | 0.855496i | \(-0.673252\pi\) | |||||||
\(440\) | −27.7896 | − | 76.3514i | −0.0631583 | − | 0.173526i | ||||
\(441\) | 0.509018 | + | 2.27374i | 0.00115424 | + | 0.00515587i | ||||
\(442\) | −193.039 | − | 70.2603i | −0.436739 | − | 0.158960i | ||||
\(443\) | 283.259 | − | 210.879i | 0.639411 | − | 0.476024i | −0.227970 | − | 0.973668i | \(-0.573209\pi\) |
0.867381 | + | 0.497644i | \(0.165801\pi\) | |||||||
\(444\) | 48.9652 | + | 349.468i | 0.110282 | + | 0.787091i | ||||
\(445\) | −162.449 | − | 172.186i | −0.365053 | − | 0.386934i | ||||
\(446\) | 48.8934 | − | 46.1286i | 0.109627 | − | 0.103427i | ||||
\(447\) | 160.361 | + | 205.431i | 0.358750 | + | 0.459576i | ||||
\(448\) | 33.3524 | + | 44.8001i | 0.0744474 | + | 0.100000i | ||||
\(449\) | −152.670 | + | 419.456i | −0.340021 | + | 0.934201i | 0.645366 | + | 0.763873i | \(0.276705\pi\) |
−0.985387 | + | 0.170328i | \(0.945517\pi\) | |||||||
\(450\) | −234.016 | − | 30.3160i | −0.520037 | − | 0.0673689i | ||||
\(451\) | 277.320 | − | 100.936i | 0.614900 | − | 0.223805i | ||||
\(452\) | 108.285 | − | 164.640i | 0.239569 | − | 0.364247i | ||||
\(453\) | −17.2980 | − | 756.826i | −0.0381855 | − | 1.67070i | ||||
\(454\) | −325.980 | + | 437.867i | −0.718018 | + | 0.964466i | ||||
\(455\) | 52.3178 | + | 79.5453i | 0.114984 | + | 0.174825i | ||||
\(456\) | 199.314 | + | 94.4595i | 0.437092 | + | 0.207148i | ||||
\(457\) | 217.113 | + | 725.208i | 0.475083 | + | 1.58689i | 0.774375 | + | 0.632726i | \(0.218064\pi\) |
−0.299292 | + | 0.954161i | \(0.596751\pi\) | |||||||
\(458\) | −151.353 | + | 87.3837i | −0.330465 | + | 0.190794i | ||||
\(459\) | −77.3223 | + | 726.881i | −0.168458 | + | 1.58362i | ||||
\(460\) | 1.89220 | − | 3.27739i | 0.00411348 | − | 0.00712475i | ||||
\(461\) | −147.856 | + | 623.853i | −0.320729 | + | 1.35326i | 0.538912 | + | 0.842362i | \(0.318835\pi\) |
−0.859641 | + | 0.510899i | \(0.829313\pi\) | |||||||
\(462\) | −322.815 | − | 88.6594i | −0.698733 | − | 0.191904i | ||||
\(463\) | −256.889 | − | 129.015i | −0.554837 | − | 0.278650i | 0.149207 | − | 0.988806i | \(-0.452328\pi\) |
−0.704044 | + | 0.710156i | \(0.748624\pi\) | |||||||
\(464\) | −112.537 | + | 48.5439i | −0.242538 | + | 0.104620i | ||||
\(465\) | −15.3236 | − | 12.2725i | −0.0329541 | − | 0.0263924i | ||||
\(466\) | −11.4628 | + | 196.808i | −0.0245982 | + | 0.422335i | ||||
\(467\) | 284.284 | + | 50.1270i | 0.608746 | + | 0.107338i | 0.469519 | − | 0.882922i | \(-0.344427\pi\) |
0.139227 | + | 0.990261i | \(0.455538\pi\) | |||||||
\(468\) | 88.1944 | + | 39.3553i | 0.188450 | + | 0.0840925i | ||||
\(469\) | −0.540638 | − | 3.06611i | −0.00115275 | − | 0.00653755i | ||||
\(470\) | −20.2377 | − | 173.145i | −0.0430590 | − | 0.368393i | ||||
\(471\) | −712.711 | + | 231.244i | −1.51319 | + | 0.490963i | ||||
\(472\) | 77.5562 | − | 259.056i | 0.164314 | − | 0.548847i | ||||
\(473\) | 171.396 | + | 723.178i | 0.362360 | + | 1.52892i | ||||
\(474\) | 209.937 | − | 111.513i | 0.442906 | − | 0.235259i | ||||
\(475\) | 190.878 | − | 442.504i | 0.401848 | − | 0.931587i | ||||
\(476\) | −242.990 | − | 289.584i | −0.510483 | − | 0.608370i | ||||
\(477\) | 32.1581 | − | 169.953i | 0.0674174 | − | 0.356296i | ||||
\(478\) | 439.320 | + | 368.634i | 0.919080 | + | 0.771200i | ||||
\(479\) | −243.992 | − | 485.829i | −0.509379 | − | 1.01426i | −0.990488 | − | 0.137596i | \(-0.956062\pi\) |
0.481110 | − | 0.876661i | \(-0.340234\pi\) | |||||||
\(480\) | −13.8228 | + | 40.8595i | −0.0287974 | + | 0.0851239i | ||||
\(481\) | −313.424 | − | 36.6340i | −0.651609 | − | 0.0761622i | ||||
\(482\) | 304.859 | − | 17.7560i | 0.632488 | − | 0.0368383i | ||||
\(483\) | −6.50132 | − | 14.1722i | −0.0134603 | − | 0.0293421i | ||||
\(484\) | −9.24793 | + | 9.80223i | −0.0191073 | + | 0.0202525i | ||||
\(485\) | − | 193.708i | − | 0.399398i | ||||||
\(486\) | 60.3839 | − | 338.307i | 0.124247 | − | 0.696105i | ||||
\(487\) | 309.778 | 0.636095 | 0.318047 | − | 0.948075i | \(-0.396973\pi\) | ||||
0.318047 | + | 0.948075i | \(0.396973\pi\) | |||||||
\(488\) | 97.4658 | + | 91.9542i | 0.199725 | + | 0.188431i | ||||
\(489\) | 501.024 | − | 229.838i | 1.02459 | − | 0.470017i | ||||
\(490\) | −0.0541090 | − | 0.929016i | −0.000110427 | − | 0.00189595i | ||||
\(491\) | 4.63428 | − | 39.6488i | 0.00943846 | − | 0.0807512i | −0.987698 | − | 0.156373i | \(-0.950020\pi\) |
0.997137 | + | 0.0756214i | \(0.0240940\pi\) | |||||||
\(492\) | −148.408 | − | 50.2063i | −0.301642 | − | 0.102045i | ||||
\(493\) | 741.300 | − | 372.295i | 1.50365 | − | 0.755162i | ||||
\(494\) | −126.781 | + | 151.091i | −0.256641 | + | 0.305853i | ||||
\(495\) | −85.3889 | − | 244.033i | −0.172503 | − | 0.492996i | ||||
\(496\) | 7.88929 | − | 6.61990i | 0.0159058 | − | 0.0133466i | ||||
\(497\) | 419.549 | + | 180.976i | 0.844163 | + | 0.364137i | ||||
\(498\) | −115.409 | − | 217.272i | −0.231744 | − | 0.436289i | ||||
\(499\) | 385.291 | − | 91.3157i | 0.772127 | − | 0.182997i | 0.174376 | − | 0.984679i | \(-0.444209\pi\) |
0.597751 | + | 0.801682i | \(0.296061\pi\) | |||||||
\(500\) | 212.032 | + | 63.4784i | 0.424065 | + | 0.126957i | ||||
\(501\) | 23.7035 | + | 73.0560i | 0.0473124 | + | 0.145820i | ||||
\(502\) | 689.741 | − | 80.6192i | 1.37399 | − | 0.160596i | ||||
\(503\) | −274.933 | + | 48.4781i | −0.546586 | + | 0.0963779i | −0.440121 | − | 0.897939i | \(-0.645064\pi\) |
−0.106465 | + | 0.994316i | \(0.533953\pi\) | |||||||
\(504\) | 104.340 | + | 143.866i | 0.207025 | + | 0.285448i | ||||
\(505\) | 22.7520 | − | 129.033i | 0.0450534 | − | 0.255510i | ||||
\(506\) | −11.8790 | − | 0.691874i | −0.0234763 | − | 0.00136734i | ||||
\(507\) | 262.947 | − | 328.321i | 0.518634 | − | 0.647577i | ||||
\(508\) | 94.1529 | + | 218.271i | 0.185340 | + | 0.429667i | ||||
\(509\) | 224.820 | − | 447.653i | 0.441689 | − | 0.879475i | −0.557108 | − | 0.830440i | \(-0.688089\pi\) |
0.998797 | − | 0.0490351i | \(-0.0156146\pi\) | |||||||
\(510\) | 77.3189 | − | 281.523i | 0.151606 | − | 0.552006i | ||||
\(511\) | 666.212 | + | 157.895i | 1.30374 | + | 0.308992i | ||||
\(512\) | −19.5959 | − | 11.3137i | −0.0382733 | − | 0.0220971i | ||||
\(513\) | 630.415 | + | 308.456i | 1.22888 | + | 0.601278i | ||||
\(514\) | 23.6388 | + | 40.9435i | 0.0459898 | + | 0.0796567i | ||||
\(515\) | 71.9828 | − | 21.5502i | 0.139772 | − | 0.0418451i | ||||
\(516\) | 168.972 | − | 356.538i | 0.327464 | − | 0.690965i | ||||
\(517\) | −457.947 | + | 301.196i | −0.885777 | + | 0.582585i | ||||
\(518\) | −465.781 | − | 346.761i | −0.899191 | − | 0.669423i | ||||
\(519\) | 414.627 | − | 9.47670i | 0.798896 | − | 0.0182595i | ||||
\(520\) | −32.2264 | − | 21.1956i | −0.0619739 | − | 0.0407609i | ||||
\(521\) | −176.480 | − | 484.875i | −0.338734 | − | 0.930663i | −0.985754 | − | 0.168191i | \(-0.946208\pi\) |
0.647021 | − | 0.762472i | \(-0.276015\pi\) | |||||||
\(522\) | −359.991 | + | 149.987i | −0.689637 | + | 0.287332i | ||||
\(523\) | 821.160 | + | 298.878i | 1.57010 | + | 0.571468i | 0.973021 | − | 0.230717i | \(-0.0741071\pi\) |
0.597075 | + | 0.802185i | \(0.296329\pi\) | |||||||
\(524\) | 99.1012 | − | 73.7781i | 0.189125 | − | 0.140798i | ||||
\(525\) | 306.088 | − | 238.936i | 0.583024 | − | 0.455115i | ||||
\(526\) | −120.442 | − | 127.661i | −0.228977 | − | 0.242702i | ||||
\(527\) | −50.7019 | + | 47.8348i | −0.0962085 | + | 0.0907681i | ||||
\(528\) | 134.314 | − | 18.8191i | 0.254382 | − | 0.0356423i | ||||
\(529\) | 315.566 | + | 423.879i | 0.596533 | + | 0.801283i | ||||
\(530\) | −23.6275 | + | 64.9160i | −0.0445802 | + | 0.122483i | ||||
\(531\) | 257.045 | − | 821.168i | 0.484077 | − | 1.54646i | ||||
\(532\) | −341.062 | + | 124.136i | −0.641093 | + | 0.233339i | ||||
\(533\) | 76.9857 | − | 117.051i | 0.144439 | − | 0.219608i | ||||
\(534\) | 337.596 | − | 205.337i | 0.632202 | − | 0.384526i | ||||
\(535\) | 113.818 | − | 152.884i | 0.212744 | − | 0.285765i | ||||
\(536\) | 0.693120 | + | 1.05384i | 0.00129313 | + | 0.00196611i | ||||
\(537\) | −619.128 | + | 427.788i | −1.15294 | + | 0.796626i | ||||
\(538\) | −178.056 | − | 594.749i | −0.330959 | − | 1.10548i | ||||
\(539\) | −2.53401 | + | 1.46301i | −0.00470131 | + | 0.00271431i | ||||
\(540\) | −45.6020 | + | 129.455i | −0.0844482 | + | 0.239732i | ||||
\(541\) | −206.464 | + | 357.606i | −0.381634 | + | 0.661009i | −0.991296 | − | 0.131652i | \(-0.957972\pi\) |
0.609662 | + | 0.792661i | \(0.291305\pi\) | |||||||
\(542\) | −43.3349 | + | 182.844i | −0.0799536 | + | 0.337351i | ||||
\(543\) | −28.8639 | − | 110.473i | −0.0531563 | − | 0.203449i | ||||
\(544\) | 136.860 | + | 68.7337i | 0.251581 | + | 0.126349i | ||||
\(545\) | 318.758 | − | 137.499i | 0.584877 | − | 0.252291i | ||||
\(546\) | −148.057 | + | 57.7528i | −0.271167 | + | 0.105774i | ||||
\(547\) | 0.656011 | − | 11.2633i | 0.00119929 | − | 0.0205910i | −0.997655 | − | 0.0684372i | \(-0.978199\pi\) |
0.998855 | + | 0.0478462i | \(0.0152357\pi\) | |||||||
\(548\) | −304.526 | − | 53.6962i | −0.555705 | − | 0.0979857i | ||||
\(549\) | 306.460 | + | 296.442i | 0.558216 | + | 0.539967i | ||||
\(550\) | −51.4575 | − | 291.830i | −0.0935590 | − | 0.530600i | ||||
\(551\) | −92.4628 | − | 791.070i | −0.167809 | − | 1.43570i | ||||
\(552\) | 4.69263 | + | 4.22883i | 0.00850115 | + | 0.00766092i | ||||
\(553\) | −112.190 | + | 374.740i | −0.202875 | + | 0.677650i | ||||
\(554\) | 147.971 | + | 624.340i | 0.267096 | + | 1.12697i | ||||
\(555\) | 15.8389 | − | 448.182i | 0.0285386 | − | 0.807535i | ||||
\(556\) | −52.5370 | + | 121.795i | −0.0944910 | + | 0.219055i | ||||
\(557\) | −478.408 | − | 570.144i | −0.858901 | − | 1.02360i | −0.999438 | − | 0.0335228i | \(-0.989327\pi\) |
0.140537 | − | 0.990075i | \(-0.455117\pi\) | |||||||
\(558\) | 25.3643 | − | 20.7496i | 0.0454558 | − | 0.0371857i | ||||
\(559\) | 270.276 | + | 226.788i | 0.483499 | + | 0.405703i | ||||
\(560\) | −31.8556 | − | 63.4297i | −0.0568850 | − | 0.113267i | ||||
\(561\) | −900.137 | + | 180.017i | −1.60452 | + | 0.320887i | ||||
\(562\) | −443.824 | − | 51.8755i | −0.789722 | − | 0.0923052i | ||||
\(563\) | −607.335 | + | 35.3733i | −1.07875 | + | 0.0628299i | −0.588302 | − | 0.808641i | \(-0.700203\pi\) |
−0.490447 | + | 0.871471i | \(0.663166\pi\) | |||||||
\(564\) | 289.711 | + | 27.1681i | 0.513672 | + | 0.0481704i | ||||
\(565\) | −171.857 | + | 182.158i | −0.304172 | + | 0.322403i | ||||
\(566\) | 62.5215i | 0.110462i | ||||||||
\(567\) | 326.273 | + | 461.883i | 0.575438 | + | 0.814609i | ||||
\(568\) | −185.112 | −0.325902 | ||||||||
\(569\) | −446.717 | − | 421.456i | −0.785091 | − | 0.740695i | 0.185183 | − | 0.982704i | \(-0.440712\pi\) |
−0.970274 | + | 0.242009i | \(0.922194\pi\) | |||||||
\(570\) | −228.606 | − | 162.206i | −0.401063 | − | 0.284571i | ||||
\(571\) | 47.1157 | + | 808.945i | 0.0825143 | + | 1.41672i | 0.744712 | + | 0.667387i | \(0.232587\pi\) |
−0.662197 | + | 0.749330i | \(0.730376\pi\) | |||||||
\(572\) | −14.0798 | + | 120.460i | −0.0246150 | + | 0.210595i | ||||
\(573\) | 656.677 | − | 577.094i | 1.14603 | − | 1.00714i | ||||
\(574\) | 230.386 | − | 115.704i | 0.401370 | − | 0.201575i | ||||
\(575\) | 8.87179 | − | 10.5730i | 0.0154292 | − | 0.0183878i | ||||
\(576\) | −61.8999 | − | 36.7750i | −0.107465 | − | 0.0638454i | ||||
\(577\) | 695.756 | − | 583.808i | 1.20582 | − | 1.01180i | 0.206371 | − | 0.978474i | \(-0.433834\pi\) |
0.999445 | − | 0.0333260i | \(-0.0106100\pi\) | |||||||
\(578\) | −576.518 | − | 248.685i | −0.997435 | − | 0.430252i | ||||
\(579\) | 519.655 | − | 830.847i | 0.897504 | − | 1.43497i | ||||
\(580\) | 151.559 | − | 35.9201i | 0.261308 | − | 0.0619312i | ||||
\(581\) | 387.832 | + | 116.109i | 0.667525 | + | 0.199844i | ||||
\(582\) | 316.245 | + | 67.3585i | 0.543376 | + | 0.115736i | ||||
\(583\) | 215.744 | − | 25.2169i | 0.370058 | − | 0.0432536i | ||||
\(584\) | −273.167 | + | 48.1667i | −0.467752 | + | 0.0824772i | ||||
\(585\) | −101.695 | − | 68.7180i | −0.173837 | − | 0.117467i | ||||
\(586\) | 120.873 | − | 685.504i | 0.206268 | − | 1.16980i | ||||
\(587\) | −74.9869 | − | 4.36749i | −0.127746 | − | 0.00744036i | −0.00584734 | − | 0.999983i | \(-0.501861\pi\) |
−0.121899 | + | 0.992543i | \(0.538898\pi\) | |||||||
\(588\) | 1.53551 | + | 0.234711i | 0.00261142 | + | 0.000399168i | ||||
\(589\) | 26.5079 | + | 61.4523i | 0.0450050 | + | 0.104333i | ||||
\(590\) | −154.234 | + | 307.106i | −0.261414 | + | 0.520518i | ||||
\(591\) | −749.976 | − | 759.389i | −1.26899 | − | 1.28492i | ||||
\(592\) | 228.913 | + | 54.2534i | 0.386678 | + | 0.0916443i | ||||
\(593\) | 177.676 | + | 102.582i | 0.299623 | + | 0.172987i | 0.642273 | − | 0.766476i | \(-0.277991\pi\) |
−0.342651 | + | 0.939463i | \(0.611325\pi\) | |||||||
\(594\) | 428.097 | − | 54.5466i | 0.720702 | − | 0.0918293i | ||||
\(595\) | 240.208 | + | 416.052i | 0.403710 | + | 0.699247i | ||||
\(596\) | 166.441 | − | 49.8292i | 0.279263 | − | 0.0836060i | ||||
\(597\) | 466.942 | − | 37.9192i | 0.782148 | − | 0.0635162i | ||||
\(598\) | −4.71951 | + | 3.10407i | −0.00789215 | + | 0.00519075i | ||||
\(599\) | 554.346 | + | 412.695i | 0.925452 | + | 0.688973i | 0.950504 | − | 0.310713i | \(-0.100568\pi\) |
−0.0250519 | + | 0.999686i | \(0.507975\pi\) | |||||||
\(600\) | −75.5237 | + | 138.000i | −0.125873 | + | 0.230000i | ||||
\(601\) | −13.1422 | − | 8.64375i | −0.0218672 | − | 0.0143823i | 0.538528 | − | 0.842607i | \(-0.318980\pi\) |
−0.560396 | + | 0.828225i | \(0.689351\pi\) | |||||||
\(602\) | 222.058 | + | 610.100i | 0.368867 | + | 1.01345i | ||||
\(603\) | 2.16350 | + | 3.38054i | 0.00358789 | + | 0.00560620i | ||||
\(604\) | −474.247 | − | 172.612i | −0.785177 | − | 0.285781i | ||||
\(605\) | 13.7374 | − | 10.2271i | 0.0227064 | − | 0.0169043i | ||||
\(606\) | 202.745 | + | 82.0133i | 0.334563 | + | 0.135335i | ||||
\(607\) | 256.269 | + | 271.629i | 0.422189 | + | 0.447494i | 0.903200 | − | 0.429221i | \(-0.141212\pi\) |
−0.481011 | + | 0.876715i | \(0.659730\pi\) | |||||||
\(608\) | 106.955 | − | 100.907i | 0.175913 | − | 0.165966i | ||||
\(609\) | 240.650 | − | 594.913i | 0.395157 | − | 0.976868i | ||||
\(610\) | −101.690 | − | 136.594i | −0.166706 | − | 0.223925i | ||||
\(611\) | −88.9953 | + | 244.513i | −0.145655 | + | 0.400184i | ||||
\(612\) | 432.724 | + | 224.124i | 0.707066 | + | 0.366216i | ||||
\(613\) | −721.940 | + | 262.765i | −1.17772 | + | 0.428653i | −0.855395 | − | 0.517977i | \(-0.826685\pi\) |
−0.322321 | + | 0.946630i | \(0.604463\pi\) | |||||||
\(614\) | −211.841 | + | 322.089i | −0.345018 | + | 0.524574i | ||||
\(615\) | 174.660 | + | 95.5864i | 0.283999 | + | 0.155425i | ||||
\(616\) | −133.273 | + | 179.017i | −0.216352 | + | 0.290612i | ||||
\(617\) | −167.271 | − | 254.323i | −0.271103 | − | 0.412193i | 0.674117 | − | 0.738624i | \(-0.264524\pi\) |
−0.945221 | + | 0.326431i | \(0.894154\pi\) | |||||||
\(618\) | 10.1519 | + | 125.012i | 0.0164270 | + | 0.202284i | ||||
\(619\) | −139.459 | − | 465.827i | −0.225298 | − | 0.752547i | −0.993650 | − | 0.112519i | \(-0.964108\pi\) |
0.768352 | − | 0.640028i | \(-0.221077\pi\) | |||||||
\(620\) | −11.3347 | + | 6.54410i | −0.0182818 | + | 0.0105550i | ||||
\(621\) | 14.7629 | + | 13.6412i | 0.0237727 | + | 0.0219666i | ||||
\(622\) | 115.927 | − | 200.792i | 0.186379 | − | 0.322817i | ||||
\(623\) | −149.951 | + | 632.694i | −0.240692 | + | 1.01556i | ||||
\(624\) | 45.8098 | − | 45.2420i | 0.0734132 | − | 0.0725032i | ||||
\(625\) | 162.832 | + | 81.7772i | 0.260531 | + | 0.130844i | ||||
\(626\) | −263.510 | + | 113.667i | −0.420942 | + | 0.181577i | ||||
\(627\) | −133.173 | + | 871.236i | −0.212397 | + | 1.38953i | ||||
\(628\) | −29.0448 | + | 498.680i | −0.0462496 | + | 0.794076i | ||||
\(629\) | −1568.10 | − | 276.497i | −2.49300 | − | 0.439583i | ||||
\(630\) | −98.8385 | − | 203.081i | −0.156887 | − | 0.322350i | ||||
\(631\) | −100.912 | − | 572.299i | −0.159924 | − | 0.906972i | −0.954145 | − | 0.299344i | \(-0.903232\pi\) |
0.794222 | − | 0.607628i | \(-0.207879\pi\) | |||||||
\(632\) | −18.3981 | − | 157.406i | −0.0291109 | − | 0.249060i | ||||
\(633\) | −173.780 | + | 815.888i | −0.274534 | + | 1.28892i | ||||
\(634\) | 88.6986 | − | 296.274i | 0.139903 | − | 0.467309i | ||||
\(635\) | −69.6685 | − | 293.954i | −0.109714 | − | 0.462920i | ||||
\(636\) | −97.7649 | − | 61.1473i | −0.153718 | − | 0.0961435i | ||||
\(637\) | −0.550175 | + | 1.27545i | −0.000863697 | + | 0.00200227i | ||||
\(638\) | −314.800 | − | 375.164i | −0.493417 | − | 0.588031i | ||||
\(639\) | −588.978 | − | 7.34708i | −0.921718 | − | 0.0114978i | ||||
\(640\) | 22.0285 | + | 18.4841i | 0.0344195 | + | 0.0288814i | ||||
\(641\) | 50.7543 | + | 101.060i | 0.0791799 | + | 0.157660i | 0.929739 | − | 0.368220i | \(-0.120033\pi\) |
−0.850559 | + | 0.525880i | \(0.823736\pi\) | |||||||
\(642\) | 210.018 | + | 238.980i | 0.327131 | + | 0.372243i | ||||
\(643\) | 924.056 | + | 108.007i | 1.43710 | + | 0.167973i | 0.798700 | − | 0.601730i | \(-0.205522\pi\) |
0.638402 | + | 0.769703i | \(0.279596\pi\) | |||||||
\(644\) | −10.3773 | + | 0.604407i | −0.0161138 | + | 0.000938520i | ||||
\(645\) | −290.157 | + | 408.936i | −0.449856 | + | 0.634009i | ||||
\(646\) | −682.974 | + | 723.910i | −1.05724 | + | 1.12060i | ||||
\(647\) | − | 1.29317i | − | 0.00199871i | −1.00000 | 0.000999355i | \(-0.999682\pi\) | |||
1.00000 | 0.000999355i | \(-0.000318105\pi\) | ||||||||
\(648\) | −195.489 | − | 119.465i | −0.301681 | − | 0.184359i | ||||
\(649\) | 1080.56 | 1.66496 | ||||||||
\(650\) | −102.324 | − | 96.5374i | −0.157421 | − | 0.148519i | ||||
\(651\) | −5.03485 | + | 53.6898i | −0.00773403 | + | 0.0824727i | ||||
\(652\) | −21.3673 | − | 366.863i | −0.0327720 | − | 0.562673i | ||||
\(653\) | 96.8391 | − | 828.511i | 0.148299 | − | 1.26878i | −0.690098 | − | 0.723716i | \(-0.742432\pi\) |
0.838397 | − | 0.545061i | \(-0.183493\pi\) | |||||||
\(654\) | 113.636 | + | 568.212i | 0.173756 | + | 0.868826i | ||||
\(655\) | −140.311 | + | 70.4671i | −0.214216 | + | 0.107583i | ||||
\(656\) | −67.1370 | + | 80.0108i | −0.102343 | + | 0.121968i | ||||
\(657\) | −871.056 | + | 142.412i | −1.32581 | + | 0.216761i | ||||
\(658\) | −366.802 | + | 307.783i | −0.557449 | + | 0.467756i | ||||
\(659\) | −340.463 | − | 146.861i | −0.516635 | − | 0.222855i | 0.121765 | − | 0.992559i | \(-0.461144\pi\) |
−0.638401 | + | 0.769704i | \(0.720404\pi\) | |||||||
\(660\) | −172.253 | − | 6.08748i | −0.260989 | − | 0.00922345i | ||||
\(661\) | 113.060 | − | 26.7958i | 0.171045 | − | 0.0405383i | −0.144201 | − | 0.989548i | \(-0.546061\pi\) |
0.315246 | + | 0.949010i | \(0.397913\pi\) | |||||||
\(662\) | −29.9325 | − | 8.96120i | −0.0452152 | − | 0.0135365i | ||||
\(663\) | −291.728 | + | 323.724i | −0.440012 | + | 0.488271i | ||||
\(664\) | −162.905 | + | 19.0408i | −0.245339 | + | 0.0286760i | ||||
\(665\) | 454.250 | − | 80.0965i | 0.683082 | − | 0.120446i | ||||
\(666\) | 726.188 | + | 181.705i | 1.09037 | + | 0.272831i | ||||
\(667\) | 3.96098 | − | 22.4639i | 0.00593851 | − | 0.0336789i | ||||
\(668\) | 51.1168 | + | 2.97722i | 0.0765222 | + | 0.00445691i | ||||
\(669\) | −51.8188 | − | 132.845i | −0.0774571 | − | 0.198572i | ||||
\(670\) | −0.634910 | − | 1.47189i | −0.000947627 | − | 0.00219685i | ||||
\(671\) | −240.304 | + | 478.486i | −0.358129 | + | 0.713093i | ||||
\(672\) | 114.632 | − | 29.9505i | 0.170583 | − | 0.0445691i | ||||
\(673\) | 160.102 | + | 37.9449i | 0.237893 | + | 0.0563817i | 0.347833 | − | 0.937557i | \(-0.386918\pi\) |
−0.109940 | + | 0.993938i | \(0.535066\pi\) | |||||||
\(674\) | 527.259 | + | 304.413i | 0.782284 | + | 0.451652i | ||||
\(675\) | −245.774 | + | 436.082i | −0.364109 | + | 0.646048i | ||||
\(676\) | −140.213 | − | 242.855i | −0.207415 | − | 0.359254i | ||||
\(677\) | 124.013 | − | 37.1272i | 0.183181 | − | 0.0548407i | −0.193899 | − | 0.981021i | \(-0.562113\pi\) |
0.377080 | + | 0.926181i | \(0.376928\pi\) | |||||||
\(678\) | −237.628 | − | 343.913i | −0.350484 | − | 0.507247i | ||||
\(679\) | −444.539 | + | 292.378i | −0.654696 | + | 0.430601i | ||||
\(680\) | −156.119 | − | 116.226i | −0.229586 | − | 0.170921i | ||||
\(681\) | 601.763 | + | 989.364i | 0.883646 | + | 1.45281i | ||||
\(682\) | 34.3826 | + | 22.6138i | 0.0504144 | + | 0.0331581i | ||||
\(683\) | −59.7782 | − | 164.239i | −0.0875230 | − | 0.240468i | 0.888207 | − | 0.459443i | \(-0.151951\pi\) |
−0.975730 | + | 0.218975i | \(0.929729\pi\) | |||||||
\(684\) | 344.308 | − | 316.814i | 0.503374 | − | 0.463179i | ||||
\(685\) | 369.279 | + | 134.407i | 0.539094 | + | 0.196214i | ||||
\(686\) | −390.111 | + | 290.427i | −0.568675 | + | 0.423363i | ||||
\(687\) | 51.4429 | + | 367.151i | 0.0748804 | + | 0.534427i | ||||
\(688\) | −180.505 | − | 191.324i | −0.262362 | − | 0.278087i | ||||
\(689\) | 75.0038 | − | 70.7625i | 0.108859 | − | 0.102703i | ||||
\(690\) | −4.93983 | − | 6.32816i | −0.00715918 | − | 0.00917125i | ||||
\(691\) | −590.414 | − | 793.064i | −0.854434 | − | 1.14770i | −0.987659 | − | 0.156618i | \(-0.949941\pi\) |
0.133225 | − | 0.991086i | \(-0.457467\pi\) | |||||||
\(692\) | 94.5652 | − | 259.816i | 0.136655 | − | 0.375456i | ||||
\(693\) | −431.145 | + | 564.294i | −0.622142 | + | 0.814278i | ||||
\(694\) | 453.677 | − | 165.125i | 0.653713 | − | 0.237932i | ||||
\(695\) | 92.6304 | − | 140.838i | 0.133281 | − | 0.202644i | ||||
\(696\) | 5.94080 | + | 259.923i | 0.00853563 | + | 0.373453i | ||||
\(697\) | 422.150 | − | 567.046i | 0.605668 | − | 0.813553i | ||||
\(698\) | −381.049 | − | 579.358i | −0.545916 | − | 0.830025i | ||||
\(699\) | 377.909 | + | 179.100i | 0.540642 | + | 0.256223i | ||||
\(700\) | −74.2446 | − | 247.994i | −0.106064 | − | 0.354277i | ||||
\(701\) | −50.7388 | + | 29.2941i | −0.0723806 | + | 0.0417890i | −0.535754 | − | 0.844374i | \(-0.679972\pi\) |
0.463373 | + | 0.886163i | \(0.346639\pi\) | |||||||
\(702\) | 147.550 | − | 142.130i | 0.210186 | − | 0.202464i | ||||
\(703\) | −764.394 | + | 1323.97i | −1.08733 | + | 1.88331i | ||||
\(704\) | 20.8516 | − | 87.9798i | 0.0296188 | − | 0.124971i | ||||
\(705\) | −356.591 | − | 97.9361i | −0.505804 | − | 0.138916i | ||||
\(706\) | 53.5552 | + | 26.8965i | 0.0758573 | + | 0.0380970i | ||||
\(707\) | −330.457 | + | 142.545i | −0.467407 | + | 0.201620i | ||||
\(708\) | −447.744 | − | 358.591i | −0.632407 | − | 0.506484i | ||||
\(709\) | −80.4158 | + | 1380.69i | −0.113421 | + | 1.94737i | 0.163642 | + | 0.986520i | \(0.447676\pi\) |
−0.277064 | + | 0.960852i | \(0.589361\pi\) | |||||||
\(710\) | 231.677 | + | 40.8509i | 0.326306 | + | 0.0575365i | ||||
\(711\) | −52.2904 | − | 501.553i | −0.0735449 | − | 0.705419i | ||||
\(712\) | −45.7434 | − | 259.424i | −0.0642463 | − | 0.364359i | ||||
\(713\) | 0.222521 | + | 1.90379i | 0.000312091 | + | 0.00267011i | ||||
\(714\) | −762.768 | + | 247.485i | −1.06830 | + | 0.346617i | ||||
\(715\) | 44.2050 | − | 147.655i | 0.0618251 | − | 0.206510i | ||||
\(716\) | 115.699 | + | 488.172i | 0.161591 | + | 0.681805i | ||||
\(717\) | 1074.40 | − | 570.690i | 1.49846 | − | 0.795942i | ||||
\(718\) | −54.6882 | + | 126.782i | −0.0761674 | + | 0.176576i | ||||
\(719\) | −41.9049 | − | 49.9403i | −0.0582822 | − | 0.0694580i | 0.736116 | − | 0.676856i | \(-0.236658\pi\) |
−0.794398 | + | 0.607398i | \(0.792213\pi\) | |||||||
\(720\) | 69.3552 | + | 59.6858i | 0.0963267 | + | 0.0828970i | ||||
\(721\) | −158.104 | − | 132.665i | −0.219285 | − | 0.184002i | ||||
\(722\) | 199.725 | + | 397.684i | 0.276627 | + | 0.550809i | ||||
\(723\) | 207.593 | − | 613.637i | 0.287128 | − | 0.848737i | ||||
\(724\) | −75.6062 | − | 8.83709i | −0.104428 | − | 0.0122059i | ||||
\(725\) | 567.100 | − | 33.0298i | 0.782207 | − | 0.0455583i | ||||
\(726\) | 11.9197 | + | 25.9838i | 0.0164183 | + | 0.0357903i | ||||
\(727\) | 156.631 | − | 166.020i | 0.215449 | − | 0.228362i | −0.610631 | − | 0.791915i | \(-0.709084\pi\) |
0.826080 | + | 0.563553i | \(0.190566\pi\) | |||||||
\(728\) | 105.948i | 0.145533i | ||||||||
\(729\) | −617.254 | − | 387.864i | −0.846713 | − | 0.532050i | ||||
\(730\) | 352.511 | 0.482892 | ||||||||
\(731\) | 1294.95 | + | 1221.72i | 1.77148 | + | 1.67130i | ||||
\(732\) | 258.362 | − | 118.520i | 0.352954 | − | 0.161913i | ||||
\(733\) | −26.5397 | − | 455.670i | −0.0362070 | − | 0.621650i | −0.966790 | − | 0.255570i | \(-0.917737\pi\) |
0.930583 | − | 0.366080i | \(-0.119300\pi\) | |||||||
\(734\) | −113.626 | + | 972.133i | −0.154804 | + | 1.32443i | ||||
\(735\) | −1.86997 | − | 0.632611i | −0.00254418 | − | 0.000860696i | ||||
\(736\) | 3.76335 | − | 1.89003i | 0.00511325 | − | 0.00256797i | ||||
\(737\) | −3.23978 | + | 3.86103i | −0.00439591 | + | 0.00523884i | ||||
\(738\) | −216.788 | + | 251.908i | −0.293750 | + | 0.341339i | ||||
\(739\) | −678.325 | + | 569.183i | −0.917896 | + | 0.770206i | −0.973605 | − | 0.228241i | \(-0.926703\pi\) |
0.0557085 | + | 0.998447i | \(0.482258\pi\) | |||||||
\(740\) | −274.523 | − | 118.418i | −0.370977 | − | 0.160024i | ||||
\(741\) | 196.272 | + | 369.507i | 0.264874 | + | 0.498660i | ||||
\(742\) | 184.638 | − | 43.7600i | 0.248838 | − | 0.0589757i | ||||
\(743\) | −82.6756 | − | 24.7515i | −0.111273 | − | 0.0333129i | 0.230683 | − | 0.973029i | \(-0.425904\pi\) |
−0.341956 | + | 0.939716i | \(0.611089\pi\) | |||||||
\(744\) | −6.74236 | − | 20.7805i | −0.00906231 | − | 0.0279307i | ||||
\(745\) | −219.305 | + | 25.6331i | −0.294369 | + | 0.0344069i | ||||
\(746\) | 638.149 | − | 112.523i | 0.855427 | − | 0.150835i | ||||
\(747\) | −519.075 | + | 54.1172i | −0.694880 | + | 0.0724461i | ||||
\(748\) | −106.268 | + | 602.677i | −0.142070 | + | 0.805718i | ||||
\(749\) | −522.646 | − | 30.4407i | −0.697792 | − | 0.0406417i | ||||
\(750\) | 293.500 | − | 366.470i | 0.391333 | − | 0.488627i | ||||
\(751\) | 234.301 | + | 543.170i | 0.311985 | + | 0.723263i | 0.999997 | − | 0.00243659i | \(-0.000775593\pi\) |
−0.688012 | + | 0.725699i | \(0.741516\pi\) | |||||||
\(752\) | 87.0616 | − | 173.354i | 0.115773 | − | 0.230524i | ||||
\(753\) | 390.139 | − | 1420.52i | 0.518113 | − | 1.88648i | ||||
\(754\) | −226.225 | − | 53.6163i | −0.300033 | − | 0.0711092i | ||||
\(755\) | 555.450 | + | 320.689i | 0.735696 | + | 0.424754i | ||||
\(756\) | 365.916 | − | 90.7446i | 0.484016 | − | 0.120033i | ||||
\(757\) | −387.136 | − | 670.539i | −0.511408 | − | 0.885785i | −0.999913 | − | 0.0132236i | \(-0.995791\pi\) |
0.488504 | − | 0.872562i | \(-0.337543\pi\) | |||||||
\(758\) | 416.553 | − | 124.708i | 0.549542 | − | 0.164522i | ||||
\(759\) | −10.8102 | + | 22.8100i | −0.0142426 | + | 0.0300527i | ||||
\(760\) | −156.128 | + | 102.687i | −0.205432 | + | 0.135114i | ||||
\(761\) | −419.944 | − | 312.637i | −0.551832 | − | 0.410824i | 0.284802 | − | 0.958586i | \(-0.408072\pi\) |
−0.836634 | + | 0.547763i | \(0.815480\pi\) | |||||||
\(762\) | 504.132 | − | 11.5224i | 0.661590 | − | 0.0151213i | ||||
\(763\) | −796.669 | − | 523.977i | −1.04413 | − | 0.686733i | ||||
\(764\) | −199.334 | − | 547.666i | −0.260908 | − | 0.716840i | ||||
\(765\) | −492.115 | − | 375.997i | −0.643288 | − | 0.491499i | ||||
\(766\) | −173.272 | − | 63.0657i | −0.226203 | − | 0.0823312i | ||||
\(767\) | 411.462 | − | 306.322i | 0.536456 | − | 0.399377i | ||||
\(768\) | −37.8369 | + | 29.5359i | −0.0492668 | + | 0.0384582i | ||||
\(769\) | −281.715 | − | 298.601i | −0.366340 | − | 0.388298i | 0.517814 | − | 0.855493i | \(-0.326746\pi\) |
−0.884154 | + | 0.467196i | \(0.845264\pi\) | |||||||
\(770\) | 206.304 | − | 194.637i | 0.267927 | − | 0.252776i | ||||
\(771\) | 99.3206 | − | 13.9162i | 0.128820 | − | 0.0180495i | ||||
\(772\) | −390.133 | − | 524.040i | −0.505354 | − | 0.678808i | ||||
\(773\) | −468.354 | + | 1286.79i | −0.605892 | + | 1.66467i | 0.133217 | + | 0.991087i | \(0.457469\pi\) |
−0.739108 | + | 0.673586i | \(0.764753\pi\) | |||||||
\(774\) | −566.725 | − | 615.907i | −0.732203 | − | 0.795745i | ||||
\(775\) | −44.8552 | + | 16.3259i | −0.0578776 | + | 0.0210657i | ||||
\(776\) | 118.452 | − | 180.097i | 0.152644 | − | 0.232084i | ||||
\(777\) | −1052.43 | + | 640.125i | −1.35449 | + | 0.823842i | ||||
\(778\) | 154.993 | − | 208.191i | 0.199220 | − | 0.267598i | ||||
\(779\) | −372.974 | − | 567.080i | −0.478786 | − | 0.727959i | ||||
\(780\) | −67.3173 | + | 46.5131i | −0.0863042 | + | 0.0596322i | ||||
\(781\) | −212.146 | − | 708.616i | −0.271634 | − | 0.907319i | ||||
\(782\) | −24.6848 | + | 14.2518i | −0.0315662 | + | 0.0182248i | ||||
\(783\) | 8.58572 | + | 827.242i | 0.0109652 | + | 1.05650i | ||||
\(784\) | 0.517782 | − | 0.896825i | 0.000660437 | − | 0.00114391i | ||||
\(785\) | 146.400 | − | 617.712i | 0.186497 | − | 0.786894i | ||||
\(786\) | −66.2527 | − | 253.574i | −0.0842910 | − | 0.322613i | ||||
\(787\) | 237.489 | + | 119.271i | 0.301765 | + | 0.151552i | 0.593238 | − | 0.805027i | \(-0.297849\pi\) |
−0.291474 | + | 0.956579i | \(0.594146\pi\) | |||||||
\(788\) | −653.343 | + | 281.825i | −0.829116 | + | 0.357646i | ||||
\(789\) | −346.858 | + | 135.299i | −0.439618 | + | 0.171482i | ||||
\(790\) | −11.7105 | + | 201.061i | −0.0148234 | + | 0.254508i | ||||
\(791\) | 677.428 | + | 119.449i | 0.856420 | + | 0.151010i | ||||
\(792\) | 69.8361 | − | 279.101i | 0.0881769 | − | 0.352400i | ||||
\(793\) | 44.1388 | + | 250.324i | 0.0556605 | + | 0.315667i | ||||
\(794\) | 65.3429 | + | 559.044i | 0.0822958 | + | 0.704085i | ||||
\(795\) | 108.863 | + | 98.1037i | 0.136935 | + | 0.123401i | ||||
\(796\) | 89.5743 | − | 299.199i | 0.112530 | − | 0.375878i | ||||
\(797\) | −266.457 | − | 1124.27i | −0.334325 | − | 1.41063i | −0.837498 | − | 0.546441i | \(-0.815982\pi\) |
0.503173 | − | 0.864186i | \(-0.332166\pi\) | |||||||
\(798\) | −27.1927 | + | 769.453i | −0.0340761 | + | 0.964227i | ||||
\(799\) | −520.044 | + | 1205.60i | −0.650869 | + | 1.50888i | ||||
\(800\) | 67.4133 | + | 80.3400i | 0.0842666 | + | 0.100425i | ||||
\(801\) | −135.247 | − | 827.232i | −0.168847 | − | 1.03275i | ||||
\(802\) | 54.5559 | + | 45.7778i | 0.0680248 | + | 0.0570796i | ||||
\(803\) | −497.444 | − | 990.492i | −0.619482 | − | 1.23349i | ||||
\(804\) | 2.62376 | − | 0.524723i | 0.00326338 | − | 0.000652640i | ||||
\(805\) | 13.1210 | + | 1.53363i | 0.0162994 | + | 0.00190513i | ||||
\(806\) | 19.5031 | − | 1.13593i | 0.0241974 | − | 0.00140934i | ||||
\(807\) | −1311.23 | − | 122.963i | −1.62482 | − | 0.152370i | ||||
\(808\) | 100.056 | − | 106.054i | 0.123832 | − | 0.131254i | ||||
\(809\) | − | 236.649i | − | 0.292520i | −0.989246 | − | 0.146260i | \(-0.953276\pi\) | ||
0.989246 | − | 0.146260i | \(-0.0467236\pi\) | |||||||
\(810\) | 218.301 | + | 192.657i | 0.269507 | + | 0.237848i | ||||
\(811\) | −1299.86 | −1.60278 | −0.801392 | − | 0.598139i | \(-0.795907\pi\) | ||||
−0.801392 | + | 0.598139i | \(0.795907\pi\) | |||||||
\(812\) | −311.191 | − | 293.594i | −0.383240 | − | 0.361569i | ||||
\(813\) | 325.095 | + | 230.669i | 0.399870 | + | 0.283725i | ||||
\(814\) | 54.6593 | + | 938.465i | 0.0671491 | + | 1.15291i | ||||
\(815\) | −54.2177 | + | 463.862i | −0.0665248 | + | 0.569156i | ||||
\(816\) | 244.036 | − | 214.462i | 0.299064 | − | 0.262821i | ||||
\(817\) | 1527.50 | − | 767.138i | 1.86964 | − | 0.938970i | ||||
\(818\) | 639.181 | − | 761.747i | 0.781395 | − | 0.931231i | ||||
\(819\) | −4.20507 | + | 337.099i | −0.00513439 | + | 0.411598i | ||||
\(820\) | 101.682 | − | 85.3215i | 0.124003 | − | 0.104051i | ||||
\(821\) | 936.536 | + | 403.982i | 1.14073 | + | 0.492061i | 0.880763 | − | 0.473558i | \(-0.157030\pi\) |
0.259963 | + | 0.965619i | \(0.416290\pi\) | |||||||
\(822\) | −347.841 | + | 556.143i | −0.423164 | + | 0.676572i | ||||
\(823\) | 714.521 | − | 169.345i | 0.868190 | − | 0.205765i | 0.227700 | − | 0.973731i | \(-0.426879\pi\) |
0.640490 | + | 0.767966i | \(0.278731\pi\) | |||||||
\(824\) | 80.1028 | + | 23.9812i | 0.0972121 | + | 0.0291034i | ||||
\(825\) | −614.823 | − | 130.954i | −0.745240 | − | 0.158732i | ||||
\(826\) | 937.570 | − | 109.586i | 1.13507 | − | 0.132671i | ||||
\(827\) | 1377.11 | − | 242.821i | 1.66519 | − | 0.293617i | 0.739851 | − | 0.672770i | \(-0.234896\pi\) |
0.925334 | + | 0.379153i | \(0.123785\pi\) | |||||||
\(828\) | 12.0490 | − | 5.86419i | 0.0145519 | − | 0.00708236i | ||||
\(829\) | 116.871 | − | 662.810i | 0.140979 | − | 0.799530i | −0.829530 | − | 0.558463i | \(-0.811391\pi\) |
0.970508 | − | 0.241067i | \(-0.0774975\pi\) | |||||||
\(830\) | 208.085 | + | 12.1196i | 0.250705 | + | 0.0146019i | ||||
\(831\) | 1345.49 | + | 205.664i | 1.61912 | + | 0.247490i | ||||
\(832\) | −17.0010 | − | 39.4127i | −0.0204338 | − | 0.0473710i | ||||
\(833\) | −3.14566 | + | 6.26353i | −0.00377631 | + | 0.00751924i | ||||
\(834\) | 197.719 | + | 200.201i | 0.237073 | + | 0.240049i | ||||
\(835\) | −63.3182 | − | 15.0067i | −0.0758301 | − | 0.0179721i | ||||
\(836\) | 508.851 | + | 293.785i | 0.608673 | + | 0.351417i | ||||
\(837\) | −20.6276 | − | 66.3855i | −0.0246447 | − | 0.0793136i | ||||
\(838\) | −251.553 | − | 435.703i | −0.300183 | − | 0.519932i | ||||
\(839\) | −1461.70 | + | 437.605i | −1.74220 | + | 0.521579i | −0.990450 | − | 0.137873i | \(-0.955974\pi\) |
−0.751747 | + | 0.659452i | \(0.770788\pi\) | |||||||
\(840\) | −150.077 | + | 12.1873i | −0.178663 | + | 0.0145087i | ||||
\(841\) | 81.7304 | − | 53.7549i | 0.0971824 | − | 0.0639178i | ||||
\(842\) | 615.303 | + | 458.076i | 0.730764 | + | 0.544033i | ||||
\(843\) | −455.069 | + | 831.522i | −0.539821 | + | 0.986384i | ||||
\(844\) | 464.637 | + | 305.597i | 0.550518 | + | 0.362081i | ||||
\(845\) | 121.889 | + | 334.888i | 0.144248 | + | 0.396317i | ||||
\(846\) | 283.887 | − | 548.110i | 0.335564 | − | 0.647885i | ||||
\(847\) | −44.2049 | − | 16.0893i | −0.0521900 | − | 0.0189956i | ||||
\(848\) | −61.6632 | + | 45.9066i | −0.0727161 | + | 0.0541351i | ||||
\(849\) | 122.950 | + | 49.7349i | 0.144817 | + | 0.0585805i | ||||
\(850\) | −487.122 | − | 516.319i | −0.573085 | − | 0.607434i | ||||
\(851\) | −31.8476 | + | 30.0466i | −0.0374237 | + | 0.0353075i | ||||
\(852\) | −147.254 | + | 364.027i | −0.172833 | + | 0.427262i | ||||
\(853\) | −358.556 | − | 481.624i | −0.420347 | − | 0.564624i | 0.540627 | − | 0.841262i | \(-0.318187\pi\) |
−0.960974 | + | 0.276638i | \(0.910780\pi\) | |||||||
\(854\) | −159.979 | + | 439.540i | −0.187329 | + | 0.514683i | ||||
\(855\) | −500.833 | + | 320.526i | −0.585770 | + | 0.374884i | ||||
\(856\) | 199.309 | − | 72.5424i | 0.232837 | − | 0.0847458i | ||||
\(857\) | 256.835 | − | 390.499i | 0.299691 | − | 0.455658i | −0.653979 | − | 0.756513i | \(-0.726902\pi\) |
0.953670 | + | 0.300855i | \(0.0972719\pi\) | |||||||
\(858\) | 225.688 | + | 123.513i | 0.263039 | + | 0.143954i | ||||
\(859\) | 98.0601 | − | 131.718i | 0.114156 | − | 0.153338i | −0.741373 | − | 0.671094i | \(-0.765825\pi\) |
0.855529 | + | 0.517755i | \(0.173232\pi\) | |||||||
\(860\) | 183.689 | + | 279.286i | 0.213592 | + | 0.324751i | ||||
\(861\) | −44.2662 | − | 545.100i | −0.0514125 | − | 0.633101i | ||||
\(862\) | 124.832 | + | 416.969i | 0.144817 | + | 0.483722i | ||||
\(863\) | 632.764 | − | 365.326i | 0.733214 | − | 0.423322i | −0.0863825 | − | 0.996262i | \(-0.527531\pi\) |
0.819597 | + | 0.572940i | \(0.194197\pi\) | |||||||
\(864\) | −121.559 | + | 92.4736i | −0.140693 | + | 0.107030i | ||||
\(865\) | −175.689 | + | 304.303i | −0.203109 | + | 0.351795i | ||||
\(866\) | 150.913 | − | 636.752i | 0.174264 | − | 0.735279i | ||||
\(867\) | −947.656 | + | 935.908i | −1.09303 | + | 1.07948i | ||||
\(868\) | 32.1263 | + | 16.1344i | 0.0370118 | + | 0.0185880i | ||||
\(869\) | 581.470 | − | 250.822i | 0.669125 | − | 0.288632i | ||||
\(870\) | 49.9251 | − | 326.617i | 0.0573851 | − | 0.375422i | ||||
\(871\) | −0.139123 | + | 2.38866i | −0.000159728 | + | 0.00274243i | ||||
\(872\) | 380.440 | + | 67.0819i | 0.436285 | + | 0.0769288i | ||||
\(873\) | 384.030 | − | 568.320i | 0.439897 | − | 0.650996i | ||||
\(874\) | 4.75221 | + | 26.9511i | 0.00543731 | + | 0.0308365i | ||||
\(875\) | 89.6943 | + | 767.384i | 0.102508 | + | 0.877010i | ||||
\(876\) | −122.579 | + | 575.504i | −0.139931 | + | 0.656969i | ||||
\(877\) | 384.024 | − | 1282.73i | 0.437884 | − | 1.46263i | −0.399863 | − | 0.916575i | \(-0.630942\pi\) |
0.837747 | − | 0.546058i | \(-0.183872\pi\) | |||||||
\(878\) | 258.497 | + | 1090.68i | 0.294415 | + | 1.24224i | ||||
\(879\) | −1251.90 | − | 783.006i | −1.42424 | − | 0.890792i | ||||
\(880\) | −45.5123 | + | 105.509i | −0.0517185 | + | 0.119897i | ||||
\(881\) | 41.3583 | + | 49.2889i | 0.0469447 | + | 0.0559465i | 0.789006 | − | 0.614386i | \(-0.210596\pi\) |
−0.742061 | + | 0.670332i | \(0.766152\pi\) | |||||||
\(882\) | 1.68304 | − | 2.83291i | 0.00190821 | − | 0.00321191i | ||||
\(883\) | −717.063 | − | 601.687i | −0.812076 | − | 0.681412i | 0.139027 | − | 0.990289i | \(-0.455603\pi\) |
−0.951102 | + | 0.308876i | \(0.900047\pi\) | |||||||
\(884\) | 130.384 | + | 259.617i | 0.147494 | + | 0.293684i | ||||
\(885\) | 481.239 | + | 547.603i | 0.543772 | + | 0.618760i | ||||
\(886\) | −496.034 | − | 57.9781i | −0.559858 | − | 0.0654380i | ||||
\(887\) | 988.204 | − | 57.5563i | 1.11410 | − | 0.0648887i | 0.508797 | − | 0.860887i | \(-0.330090\pi\) |
0.605299 | + | 0.795998i | \(0.293053\pi\) | |||||||
\(888\) | 288.788 | − | 407.005i | 0.325211 | − | 0.458339i | ||||
\(889\) | −569.437 | + | 603.568i | −0.640537 | + | 0.678929i | ||||
\(890\) | 334.776i | 0.376153i | ||||||||
\(891\) | 233.277 | − | 885.252i | 0.261815 | − | 0.993549i | ||||
\(892\) | −95.0622 | −0.106572 | ||||||||
\(893\) | 916.942 | + | 865.090i | 1.02681 | + | 0.968745i | ||||
\(894\) | 34.4112 | − | 366.948i | 0.0384913 | − | 0.410456i | ||||
\(895\) | −37.0721 | − | 636.504i | −0.0414214 | − | 0.711177i | ||||
\(896\) | 9.16977 | − | 78.4524i | 0.0102341 | − | 0.0875585i | ||||
\(897\) | 2.34992 | + | 11.7502i | 0.00261975 | + | 0.0130995i | ||||
\(898\) | 564.125 | − | 283.314i | 0.628201 | − | 0.315494i | ||||
\(899\) | −50.7088 | + | 60.4324i | −0.0564058 | + | 0.0672218i | ||||
\(900\) | 211.302 | + | 258.296i | 0.234780 | + | 0.286996i | ||||
\(901\) | 398.586 | − | 334.453i | 0.442382 | − | 0.371202i | ||||
\(902\) | −383.226 | − | 165.307i | −0.424862 | − | 0.183268i | ||||
\(903\) | 1376.42 | + | 48.6431i | 1.52427 | + | 0.0538683i | ||||
\(904\) | −271.170 | + | 64.2685i | −0.299967 | + | 0.0710935i | ||||
\(905\) | 92.6746 | + | 27.7450i | 0.102403 | + | 0.0306574i | ||||
\(906\) | −716.700 | + | 795.306i | −0.791060 | + | 0.877821i | ||||
\(907\) | −165.844 | + | 19.3844i | −0.182849 | + | 0.0213720i | −0.207025 | − | 0.978336i | \(-0.566378\pi\) |
0.0241753 | + | 0.999708i | \(0.492304\pi\) | |||||||
\(908\) | 760.270 | − | 134.056i | 0.837302 | − | 0.147639i | ||||
\(909\) | 322.562 | − | 333.463i | 0.354853 | − | 0.366846i | ||||
\(910\) | 23.3808 | − | 132.599i | 0.0256932 | − | 0.145713i | ||||
\(911\) | −15.5837 | − | 0.907645i | −0.0171061 | − | 0.000996317i | 0.0495896 | − | 0.998770i | \(-0.484209\pi\) |
−0.0666957 | + | 0.997773i | \(0.521246\pi\) | |||||||
\(912\) | −113.355 | − | 290.600i | −0.124292 | − | 0.318640i | ||||
\(913\) | −259.584 | − | 601.784i | −0.284320 | − | 0.659128i | ||||
\(914\) | 480.473 | − | 956.700i | 0.525681 | − | 1.04672i | ||||
\(915\) | −349.508 | + | 91.3180i | −0.381976 | + | 0.0998011i | ||||
\(916\) | 240.496 | + | 56.9987i | 0.262551 | + | 0.0622256i | ||||
\(917\) | 373.496 | + | 215.638i | 0.407302 | + | 0.235156i | ||||
\(918\) | 784.971 | − | 672.674i | 0.855088 | − | 0.732760i | ||||
\(919\) | 654.421 | + | 1133.49i | 0.712101 | + | 1.23340i | 0.964067 | + | 0.265659i | \(0.0855895\pi\) |
−0.251966 | + | 0.967736i | \(0.581077\pi\) | |||||||
\(920\) | −5.12711 | + | 1.53496i | −0.00557295 | + | 0.00166843i | ||||
\(921\) | 464.878 | + | 672.806i | 0.504753 | + | 0.730517i | ||||
\(922\) | 757.538 | − | 498.241i | 0.821625 | − | 0.540391i | ||||
\(923\) | −281.665 | − | 209.691i | −0.305162 | − | 0.227185i | ||||
\(924\) | 246.024 | + | 404.490i | 0.266259 | + | 0.437759i | ||||
\(925\) | −911.006 | − | 599.178i | −0.984871 | − | 0.647760i | ||||
\(926\) | 139.045 | + | 382.022i | 0.150156 | + | 0.412550i | ||||
\(927\) | 253.914 | + | 79.4810i | 0.273909 | + | 0.0857400i | ||||
\(928\) | 162.874 | + | 59.2814i | 0.175511 | + | 0.0638808i | ||||
\(929\) | 584.002 | − | 434.773i | 0.628635 | − | 0.468001i | −0.235084 | − | 0.971975i | \(-0.575537\pi\) |
0.863719 | + | 0.503974i | \(0.168129\pi\) | |||||||
\(930\) | 3.85252 | + | 27.4957i | 0.00414249 | + | 0.0295652i | ||||
\(931\) | 4.61810 | + | 4.89490i | 0.00496037 | + | 0.00525768i | ||||
\(932\) | 202.792 | − | 191.325i | 0.217588 | − | 0.205284i | ||||
\(933\) | −302.644 | − | 387.701i | −0.324377 | − | 0.415542i | ||||
\(934\) | −243.785 | − | 327.460i | −0.261011 | − | 0.350599i | ||||
\(935\) | 266.000 | − | 730.828i | 0.284491 | − | 0.781634i | ||||
\(936\) | −52.5282 | − | 126.075i | −0.0561199 | − | 0.134696i | ||||
\(937\) | 100.458 | − | 36.5638i | 0.107212 | − | 0.0390222i | −0.287857 | − | 0.957673i | \(-0.592943\pi\) |
0.395069 | + | 0.918651i | \(0.370721\pi\) | |||||||
\(938\) | −2.41950 | + | 3.67867i | −0.00257943 | + | 0.00392183i | ||||
\(939\) | 13.9106 | + | 608.618i | 0.0148142 | + | 0.648156i | ||||
\(940\) | −147.218 | + | 197.748i | −0.156615 | + | 0.210370i | ||||
\(941\) | 43.6330 | + | 66.3408i | 0.0463688 | + | 0.0705003i | 0.857928 | − | 0.513770i | \(-0.171751\pi\) |
−0.811559 | + | 0.584270i | \(0.801381\pi\) | |||||||
\(942\) | 957.559 | + | 453.809i | 1.01652 | + | 0.481751i | ||||
\(943\) | −5.57519 | − | 18.6224i | −0.00591218 | − | 0.0197481i | ||||
\(944\) | −331.191 | + | 191.213i | −0.350838 | + | 0.202556i | ||||
\(945\) | −477.987 | + | 32.8203i | −0.505806 | + | 0.0347305i | ||||
\(946\) | 525.530 | − | 910.245i | 0.555528 | − | 0.962204i | ||||
\(947\) | −236.435 | + | 997.597i | −0.249667 | + | 1.05343i | 0.693328 | + | 0.720622i | \(0.256144\pi\) |
−0.942995 | + | 0.332807i | \(0.892004\pi\) | |||||||
\(948\) | −324.177 | − | 89.0336i | −0.341959 | − | 0.0939173i | ||||
\(949\) | −470.210 | − | 236.148i | −0.495479 | − | 0.248839i | ||||
\(950\) | −625.795 | + | 269.942i | −0.658732 | + | 0.284149i | ||||
\(951\) | −512.070 | − | 410.109i | −0.538455 | − | 0.431240i | ||||
\(952\) | −31.0847 | + | 533.704i | −0.0326520 | + | 0.560613i | ||||
\(953\) | −344.297 | − | 60.7089i | −0.361277 | − | 0.0637029i | −0.00993668 | − | 0.999951i | \(-0.503163\pi\) |
−0.351341 | + | 0.936248i | \(0.614274\pi\) | |||||||
\(954\) | −198.018 | + | 143.615i | −0.207566 | + | 0.150540i | ||||
\(955\) | 128.616 | + | 729.419i | 0.134677 | + | 0.763790i | ||||
\(956\) | −94.1560 | − | 805.556i | −0.0984896 | − | 0.842632i | ||||
\(957\) | −988.186 | + | 320.623i | −1.03259 | + | 0.335030i | ||||
\(958\) | −220.508 | + | 736.546i | −0.230175 | + | 0.768838i | ||||
\(959\) | −248.932 | − | 1050.32i | −0.259574 | − | 1.09523i | ||||
\(960\) | 53.8727 | − | 28.6157i | 0.0561174 | − | 0.0298080i | ||||
\(961\) | −378.007 | + | 876.319i | −0.393348 | + | 0.911882i | ||||
\(962\) | 286.854 | + | 341.860i | 0.298185 | + | 0.355363i | ||||
\(963\) | 637.026 | − | 222.900i | 0.661501 | − | 0.231464i | ||||
\(964\) | −330.829 | − | 277.599i | −0.343184 | − | 0.287965i | ||||
\(965\) | 372.624 | + | 741.956i | 0.386139 | + | 0.768866i | ||||
\(966\) | −7.06638 | + | 20.8879i | −0.00731509 | + | 0.0216231i | ||||
\(967\) | −1446.40 | − | 169.060i | −1.49576 | − | 0.174829i | −0.671484 | − | 0.741019i | \(-0.734343\pi\) |
−0.824275 | + | 0.566190i | \(0.808417\pi\) | |||||||
\(968\) | 19.0260 | − | 1.10814i | 0.0196549 | − | 0.00114477i | ||||
\(969\) | 880.289 | + | 1918.94i | 0.908451 | + | 1.98033i | ||||
\(970\) | −187.992 | + | 199.260i | −0.193806 | + | 0.205423i | ||||
\(971\) | − | 256.443i | − | 0.264102i | −0.991243 | − | 0.132051i | \(-0.957844\pi\) | ||
0.991243 | − | 0.132051i | \(-0.0421562\pi\) | |||||||
\(972\) | −390.439 | + | 289.402i | −0.401686 | + | 0.297738i | ||||
\(973\) | −463.021 | −0.475869 | ||||||||
\(974\) | −318.657 | − | 300.637i | −0.327163 | − | 0.308663i | ||||
\(975\) | −271.240 | + | 124.428i | −0.278195 | + | 0.127618i | ||||
\(976\) | −11.0185 | − | 189.180i | −0.0112894 | − | 0.193831i | ||||
\(977\) | 172.847 | − | 1478.80i | 0.176916 | − | 1.51361i | −0.554788 | − | 0.831992i | \(-0.687201\pi\) |
0.731704 | − | 0.681622i | \(-0.238725\pi\) | |||||||
\(978\) | −738.441 | − | 249.814i | −0.755052 | − | 0.255434i | ||||
\(979\) | 940.659 | − | 472.417i | 0.960837 | − | 0.482550i | ||||
\(980\) | −0.845943 | + | 1.00816i | −0.000863207 | + | 0.00102873i | ||||
\(981\) | 1207.80 | + | 228.536i | 1.23119 | + | 0.232963i | ||||
\(982\) | −43.2460 | + | 36.2877i | −0.0440387 | + | 0.0369528i | ||||
\(983\) | 240.598 | + | 103.784i | 0.244759 | + | 0.105579i | 0.514926 | − | 0.857235i | \(-0.327820\pi\) |
−0.270167 | + | 0.962814i | \(0.587079\pi\) | |||||||
\(984\) | 103.936 | + | 195.674i | 0.105626 | + | 0.198855i | ||||
\(985\) | 879.884 | − | 208.536i | 0.893283 | − | 0.211712i | ||||
\(986\) | −1123.86 | − | 336.460i | −1.13981 | − | 0.341238i | ||||
\(987\) | 313.477 | + | 966.160i | 0.317606 | + | 0.978885i | ||||
\(988\) | 277.047 | − | 32.3822i | 0.280412 | − | 0.0327755i | ||||
\(989\) | 48.2108 | − | 8.50087i | 0.0487470 | − | 0.00859542i | ||||
\(990\) | −148.996 | + | 333.896i | −0.150501 | + | 0.337269i | ||||
\(991\) | −140.350 | + | 795.965i | −0.141625 | + | 0.803194i | 0.828391 | + | 0.560151i | \(0.189257\pi\) |
−0.970015 | + | 0.243043i | \(0.921854\pi\) | |||||||
\(992\) | −14.5400 | − | 0.846857i | −0.0146572 | − | 0.000853686i | ||||
\(993\) | −41.4332 | + | 51.7343i | −0.0417253 | + | 0.0520990i | ||||
\(994\) | −255.938 | − | 593.332i | −0.257483 | − | 0.596914i | ||||
\(995\) | −178.134 | + | 354.694i | −0.179029 | + | 0.356477i | ||||
\(996\) | −92.1441 | + | 335.502i | −0.0925141 | + | 0.336850i | ||||
\(997\) | −271.333 | − | 64.3072i | −0.272150 | − | 0.0645007i | 0.0922748 | − | 0.995734i | \(-0.470586\pi\) |
−0.364425 | + | 0.931233i | \(0.618734\pi\) | |||||||
\(998\) | −484.955 | − | 279.989i | −0.485927 | − | 0.280550i | ||||
\(999\) | 934.999 | − | 1283.52i | 0.935935 | − | 1.28480i |
(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.h.a.11.2 | ✓ | 324 | |
81.59 | odd | 54 | inner | 162.3.h.a.59.2 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
162.3.h.a.11.2 | ✓ | 324 | 1.1 | even | 1 | trivial | |
162.3.h.a.59.2 | yes | 324 | 81.59 | odd | 54 | inner |