Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(11,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(72))
chi = DirichletCharacter(H, H._module([36, 45, 52]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.bt (of order \(72\), degree \(24\), 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: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(3408\) |
Relative dimension: | \(142\) over \(\Q(\zeta_{72})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{72}]$ |
Embedding invariants
Embedding label | 11.17 | ||
Character | \(\chi\) | \(=\) | 864.11 |
Dual form | 864.2.bt.a.707.17 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32493 | + | 0.494525i | −0.936868 | + | 0.349682i | ||||
\(3\) | 1.65521 | + | 0.510185i | 0.955634 | + | 0.294555i | ||||
\(4\) | 1.51089 | − | 1.31042i | 0.755445 | − | 0.655212i | ||||
\(5\) | −1.77522 | − | 1.62669i | −0.793902 | − | 0.727477i | 0.172361 | − | 0.985034i | \(-0.444860\pi\) |
−0.966263 | + | 0.257557i | \(0.917083\pi\) | |||||||
\(6\) | −2.44534 | + | 0.142581i | −0.998304 | + | 0.0582085i | ||||
\(7\) | −2.52489 | − | 3.60592i | −0.954320 | − | 1.36291i | −0.931725 | − | 0.363165i | \(-0.881696\pi\) |
−0.0225950 | − | 0.999745i | \(-0.507193\pi\) | |||||||
\(8\) | −1.35379 | + | 2.48340i | −0.478637 | + | 0.878013i | ||||
\(9\) | 2.47942 | + | 1.68892i | 0.826474 | + | 0.562975i | ||||
\(10\) | 3.15648 | + | 1.27736i | 0.998167 | + | 0.403937i | ||||
\(11\) | −4.87964 | − | 0.213050i | −1.47127 | − | 0.0642369i | −0.706120 | − | 0.708092i | \(-0.749556\pi\) |
−0.765148 | + | 0.643855i | \(0.777334\pi\) | |||||||
\(12\) | 3.16939 | − | 1.39819i | 0.914925 | − | 0.403623i | ||||
\(13\) | 1.16003 | + | 0.603872i | 0.321733 | + | 0.167484i | 0.614958 | − | 0.788560i | \(-0.289173\pi\) |
−0.293225 | + | 0.956044i | \(0.594728\pi\) | |||||||
\(14\) | 5.12853 | + | 3.52898i | 1.37066 | + | 0.943159i | ||||
\(15\) | −2.10844 | − | 3.59820i | −0.544398 | − | 0.929050i | ||||
\(16\) | 0.565577 | − | 3.95981i | 0.141394 | − | 0.989953i | ||||
\(17\) | 2.98248 | + | 5.16581i | 0.723357 | + | 1.25289i | 0.959647 | + | 0.281209i | \(0.0907354\pi\) |
−0.236289 | + | 0.971683i | \(0.575931\pi\) | |||||||
\(18\) | −4.12028 | − | 1.01157i | −0.971160 | − | 0.238430i | ||||
\(19\) | −0.579709 | + | 4.40332i | −0.132994 | + | 1.01019i | 0.786639 | + | 0.617413i | \(0.211819\pi\) |
−0.919633 | + | 0.392778i | \(0.871514\pi\) | |||||||
\(20\) | −4.81381 | − | 0.131457i | −1.07640 | − | 0.0293948i | ||||
\(21\) | −2.33953 | − | 7.25671i | −0.510528 | − | 1.58354i | ||||
\(22\) | 6.57055 | − | 2.13083i | 1.40085 | − | 0.454294i | ||||
\(23\) | −4.83326 | − | 3.38429i | −1.00781 | − | 0.705673i | −0.0516899 | − | 0.998663i | \(-0.516461\pi\) |
−0.956115 | + | 0.292990i | \(0.905350\pi\) | |||||||
\(24\) | −3.50779 | + | 3.41985i | −0.716025 | + | 0.698074i | ||||
\(25\) | 0.0695078 | + | 0.794478i | 0.0139016 | + | 0.158896i | ||||
\(26\) | −1.83559 | − | 0.226427i | −0.359988 | − | 0.0444059i | ||||
\(27\) | 3.24230 | + | 4.06048i | 0.623980 | + | 0.781440i | ||||
\(28\) | −8.54012 | − | 2.13947i | −1.61393 | − | 0.404322i | ||||
\(29\) | −1.73049 | + | 5.48842i | −0.321344 | + | 1.01917i | 0.645490 | + | 0.763769i | \(0.276653\pi\) |
−0.966834 | + | 0.255405i | \(0.917791\pi\) | |||||||
\(30\) | 4.57294 | + | 3.72469i | 0.834901 | + | 0.680032i | ||||
\(31\) | −7.05551 | + | 1.24408i | −1.26721 | + | 0.223443i | −0.766539 | − | 0.642197i | \(-0.778023\pi\) |
−0.500667 | + | 0.865640i | \(0.666912\pi\) | |||||||
\(32\) | 1.20888 | + | 5.52618i | 0.213701 | + | 0.976899i | ||||
\(33\) | −7.96813 | − | 2.84216i | −1.38707 | − | 0.494757i | ||||
\(34\) | −6.50620 | − | 5.36943i | −1.11580 | − | 0.920850i | ||||
\(35\) | −1.38347 | + | 10.5085i | −0.233849 | + | 1.77626i | ||||
\(36\) | 5.95934 | − | 0.697317i | 0.993224 | − | 0.116220i | ||||
\(37\) | −1.08442 | + | 0.142766i | −0.178277 | + | 0.0234707i | −0.219136 | − | 0.975694i | \(-0.570324\pi\) |
0.0408589 | + | 0.999165i | \(0.486991\pi\) | |||||||
\(38\) | −1.40948 | − | 6.12079i | −0.228648 | − | 0.992923i | ||||
\(39\) | 1.61200 | + | 1.59136i | 0.258126 | + | 0.254822i | ||||
\(40\) | 6.44298 | − | 2.20638i | 1.01872 | − | 0.348859i | ||||
\(41\) | −8.76085 | − | 0.766475i | −1.36821 | − | 0.119703i | −0.620752 | − | 0.784007i | \(-0.713173\pi\) |
−0.747463 | + | 0.664304i | \(0.768728\pi\) | |||||||
\(42\) | 6.68835 | + | 8.45769i | 1.03203 | + | 1.30505i | ||||
\(43\) | 0.148091 | − | 3.39184i | 0.0225837 | − | 0.517251i | −0.953700 | − | 0.300758i | \(-0.902760\pi\) |
0.976284 | − | 0.216493i | \(-0.0694619\pi\) | |||||||
\(44\) | −7.65179 | + | 6.07251i | −1.15355 | + | 0.915465i | ||||
\(45\) | −1.65416 | − | 7.03145i | −0.246588 | − | 1.04819i | ||||
\(46\) | 8.07736 | + | 2.09378i | 1.19094 | + | 0.308711i | ||||
\(47\) | −0.994210 | − | 0.175306i | −0.145020 | − | 0.0255710i | 0.100667 | − | 0.994920i | \(-0.467902\pi\) |
−0.245687 | + | 0.969349i | \(0.579014\pi\) | |||||||
\(48\) | 2.95638 | − | 6.26576i | 0.426717 | − | 0.904385i | ||||
\(49\) | −4.23344 | + | 11.6313i | −0.604777 | + | 1.66161i | ||||
\(50\) | −0.484983 | − | 1.01826i | −0.0685869 | − | 0.144003i | ||||
\(51\) | 2.30111 | + | 10.0721i | 0.322219 | + | 1.41038i | ||||
\(52\) | 2.54400 | − | 0.607743i | 0.352789 | − | 0.0842788i | ||||
\(53\) | −3.87895 | + | 9.36461i | −0.532815 | + | 1.28633i | 0.396837 | + | 0.917889i | \(0.370108\pi\) |
−0.929652 | + | 0.368439i | \(0.879892\pi\) | |||||||
\(54\) | −6.30383 | − | 3.77647i | −0.857843 | − | 0.513912i | ||||
\(55\) | 8.31587 | + | 8.31587i | 1.12131 | + | 1.12131i | ||||
\(56\) | 12.3731 | − | 1.38865i | 1.65343 | − | 0.185567i | ||||
\(57\) | −3.20605 | + | 6.99266i | −0.424651 | + | 0.926200i | ||||
\(58\) | −0.421377 | − | 8.12756i | −0.0553295 | − | 1.06720i | ||||
\(59\) | 8.82988 | − | 9.63612i | 1.14955 | − | 1.25452i | 0.187316 | − | 0.982300i | \(-0.440021\pi\) |
0.962236 | − | 0.272216i | \(-0.0877567\pi\) | |||||||
\(60\) | −7.90079 | − | 2.67352i | −1.01999 | − | 0.345150i | ||||
\(61\) | −0.690281 | − | 3.11365i | −0.0883814 | − | 0.398663i | 0.911540 | − | 0.411212i | \(-0.134894\pi\) |
−0.999921 | + | 0.0125491i | \(0.996005\pi\) | |||||||
\(62\) | 8.73284 | − | 5.13744i | 1.10907 | − | 0.652456i | ||||
\(63\) | −0.170151 | − | 13.2050i | −0.0214371 | − | 1.66367i | ||||
\(64\) | −4.33451 | − | 6.72399i | −0.541814 | − | 0.840498i | ||||
\(65\) | −1.07699 | − | 2.95900i | −0.133584 | − | 0.367019i | ||||
\(66\) | 11.9627 | − | 0.174766i | 1.47251 | − | 0.0215122i | ||||
\(67\) | −2.84139 | − | 1.47913i | −0.347131 | − | 0.180705i | 0.279257 | − | 0.960216i | \(-0.409912\pi\) |
−0.626388 | + | 0.779512i | \(0.715467\pi\) | |||||||
\(68\) | 11.2756 | + | 3.89665i | 1.36737 | + | 0.472538i | ||||
\(69\) | −6.27344 | − | 8.06756i | −0.755234 | − | 0.971220i | ||||
\(70\) | −3.36372 | − | 14.6072i | −0.402041 | − | 1.74590i | ||||
\(71\) | 1.31286 | − | 4.89968i | 0.155808 | − | 0.581485i | −0.843226 | − | 0.537559i | \(-0.819347\pi\) |
0.999035 | − | 0.0439262i | \(-0.0139866\pi\) | |||||||
\(72\) | −7.55088 | + | 3.87094i | −0.889880 | + | 0.456195i | ||||
\(73\) | −1.28514 | − | 4.79622i | −0.150415 | − | 0.561355i | −0.999454 | − | 0.0330260i | \(-0.989486\pi\) |
0.849040 | − | 0.528329i | \(-0.177181\pi\) | |||||||
\(74\) | 1.36618 | − | 0.725428i | 0.158815 | − | 0.0843293i | ||||
\(75\) | −0.290281 | + | 1.35049i | −0.0335188 | + | 0.155941i | ||||
\(76\) | 4.89435 | + | 7.41260i | 0.561420 | + | 0.850284i | ||||
\(77\) | 11.5523 | + | 18.1335i | 1.31651 | + | 2.06651i | ||||
\(78\) | −2.92276 | − | 1.31127i | −0.330937 | − | 0.148472i | ||||
\(79\) | 4.87418 | + | 4.08992i | 0.548388 | + | 0.460152i | 0.874395 | − | 0.485215i | \(-0.161259\pi\) |
−0.326007 | + | 0.945367i | \(0.605703\pi\) | |||||||
\(80\) | −7.44540 | + | 6.10952i | −0.832421 | + | 0.683065i | ||||
\(81\) | 3.29507 | + | 8.37511i | 0.366119 | + | 0.930568i | ||||
\(82\) | 11.9866 | − | 3.31693i | 1.32370 | − | 0.366294i | ||||
\(83\) | −4.01268 | + | 12.7266i | −0.440449 | + | 1.39693i | 0.429180 | + | 0.903219i | \(0.358803\pi\) |
−0.869629 | + | 0.493706i | \(0.835642\pi\) | |||||||
\(84\) | −13.0441 | − | 7.89831i | −1.42323 | − | 0.861776i | ||||
\(85\) | 3.10860 | − | 14.0220i | 0.337175 | − | 1.52090i | ||||
\(86\) | 1.48114 | + | 4.56719i | 0.159715 | + | 0.492493i | ||||
\(87\) | −5.66443 | + | 8.20161i | −0.607291 | + | 0.879304i | ||||
\(88\) | 7.13509 | − | 11.8297i | 0.760604 | − | 1.26105i | ||||
\(89\) | −2.74504 | − | 10.2446i | −0.290974 | − | 1.08593i | −0.944362 | − | 0.328907i | \(-0.893320\pi\) |
0.653388 | − | 0.757023i | \(-0.273347\pi\) | |||||||
\(90\) | 5.66889 | + | 8.49817i | 0.597553 | + | 0.895786i | ||||
\(91\) | −0.751430 | − | 5.70767i | −0.0787712 | − | 0.598327i | ||||
\(92\) | −11.7374 | + | 1.22034i | −1.22371 | + | 0.127229i | ||||
\(93\) | −12.3130 | − | 1.54041i | −1.27680 | − | 0.159733i | ||||
\(94\) | 1.40395 | − | 0.259393i | 0.144807 | − | 0.0267544i | ||||
\(95\) | 8.19194 | − | 6.87386i | 0.840476 | − | 0.705243i | ||||
\(96\) | −0.818431 | + | 9.76372i | −0.0835308 | + | 0.996505i | ||||
\(97\) | 4.29599 | − | 1.56361i | 0.436191 | − | 0.158761i | −0.114585 | − | 0.993413i | \(-0.536554\pi\) |
0.550777 | + | 0.834653i | \(0.314332\pi\) | |||||||
\(98\) | −0.142939 | − | 17.5042i | −0.0144391 | − | 1.76819i | ||||
\(99\) | −11.7389 | − | 8.76959i | −1.17980 | − | 0.881377i | ||||
\(100\) | 1.14612 | + | 1.10928i | 0.114612 | + | 0.110928i | ||||
\(101\) | 2.23175 | − | 3.50314i | 0.222067 | − | 0.348575i | −0.714153 | − | 0.699990i | \(-0.753188\pi\) |
0.936220 | + | 0.351414i | \(0.114299\pi\) | |||||||
\(102\) | −8.02971 | − | 12.2069i | −0.795060 | − | 1.20866i | ||||
\(103\) | −2.92670 | + | 1.36474i | −0.288377 | + | 0.134472i | −0.561424 | − | 0.827528i | \(-0.689746\pi\) |
0.273047 | + | 0.962001i | \(0.411968\pi\) | |||||||
\(104\) | −3.07008 | + | 2.06329i | −0.301046 | + | 0.202322i | ||||
\(105\) | −7.65121 | + | 16.6879i | −0.746682 | + | 1.62858i | ||||
\(106\) | 0.508309 | − | 14.3257i | 0.0493713 | − | 1.39144i | ||||
\(107\) | −4.84689 | − | 2.00765i | −0.468567 | − | 0.194087i | 0.135891 | − | 0.990724i | \(-0.456610\pi\) |
−0.604458 | + | 0.796637i | \(0.706610\pi\) | |||||||
\(108\) | 10.2197 | + | 1.88616i | 0.983392 | + | 0.181496i | ||||
\(109\) | −2.09438 | − | 5.05629i | −0.200606 | − | 0.484305i | 0.791278 | − | 0.611457i | \(-0.209416\pi\) |
−0.991883 | + | 0.127152i | \(0.959416\pi\) | |||||||
\(110\) | −15.1304 | − | 6.90555i | −1.44262 | − | 0.658419i | ||||
\(111\) | −1.86777 | − | 0.316946i | −0.177281 | − | 0.0300832i | ||||
\(112\) | −15.7068 | + | 7.95868i | −1.48415 | + | 0.752025i | ||||
\(113\) | −11.7506 | − | 4.27686i | −1.10540 | − | 0.402333i | −0.276096 | − | 0.961130i | \(-0.589041\pi\) |
−0.829304 | + | 0.558797i | \(0.811263\pi\) | |||||||
\(114\) | 0.789752 | − | 10.8503i | 0.0739671 | − | 1.01622i | ||||
\(115\) | 3.07492 | + | 13.8701i | 0.286738 | + | 1.29339i | ||||
\(116\) | 4.57758 | + | 10.5601i | 0.425017 | + | 0.980479i | ||||
\(117\) | 1.85630 | + | 3.45645i | 0.171615 | + | 0.319549i | ||||
\(118\) | −6.93369 | + | 17.1338i | −0.638297 | + | 1.57729i | ||||
\(119\) | 11.0970 | − | 23.7977i | 1.01726 | − | 2.18153i | ||||
\(120\) | 11.7901 | − | 0.364901i | 1.07629 | − | 0.0333107i | ||||
\(121\) | 12.8074 | + | 1.12050i | 1.16431 | + | 0.101864i | ||||
\(122\) | 2.45435 | + | 3.78402i | 0.222207 | + | 0.342589i | ||||
\(123\) | −14.1100 | − | 5.73833i | −1.27225 | − | 0.517408i | ||||
\(124\) | −9.02983 | + | 11.1254i | −0.810902 | + | 0.999088i | ||||
\(125\) | −6.15991 | + | 8.02775i | −0.550959 | + | 0.718024i | ||||
\(126\) | 6.75562 | + | 17.4115i | 0.601838 | + | 1.55114i | ||||
\(127\) | −8.69021 | − | 5.01730i | −0.771132 | − | 0.445213i | 0.0621465 | − | 0.998067i | \(-0.480205\pi\) |
−0.833278 | + | 0.552854i | \(0.813539\pi\) | |||||||
\(128\) | 9.06811 | + | 6.76530i | 0.801516 | + | 0.597974i | ||||
\(129\) | 1.97559 | − | 5.53865i | 0.173941 | − | 0.487651i | ||||
\(130\) | 2.89024 | + | 3.38788i | 0.253491 | + | 0.297137i | ||||
\(131\) | −11.8683 | − | 18.6295i | −1.03694 | − | 1.62767i | −0.739793 | − | 0.672834i | \(-0.765077\pi\) |
−0.297144 | − | 0.954833i | \(-0.596034\pi\) | |||||||
\(132\) | −15.7634 | + | 6.14743i | −1.37203 | + | 0.535065i | ||||
\(133\) | 17.3417 | − | 9.02754i | 1.50372 | − | 0.782787i | ||||
\(134\) | 4.49611 | + | 0.554613i | 0.388405 | + | 0.0479113i | ||||
\(135\) | 0.849357 | − | 12.4824i | 0.0731010 | − | 1.07432i | ||||
\(136\) | −16.8664 | + | 0.413266i | −1.44628 | + | 0.0354373i | ||||
\(137\) | 0.834562 | + | 9.53909i | 0.0713014 | + | 0.814979i | 0.944692 | + | 0.327959i | \(0.106361\pi\) |
−0.873391 | + | 0.487020i | \(0.838084\pi\) | |||||||
\(138\) | 12.3015 | + | 7.58659i | 1.04717 | + | 0.645814i | ||||
\(139\) | −4.18024 | − | 0.926737i | −0.354563 | − | 0.0786048i | 0.0355597 | − | 0.999368i | \(-0.488679\pi\) |
−0.390123 | + | 0.920763i | \(0.627567\pi\) | |||||||
\(140\) | 11.6803 | + | 17.6901i | 0.987168 | + | 1.49509i | ||||
\(141\) | −1.55618 | − | 0.797399i | −0.131054 | − | 0.0671531i | ||||
\(142\) | 0.683557 | + | 7.14098i | 0.0573628 | + | 0.599258i | ||||
\(143\) | −5.53186 | − | 3.19382i | −0.462597 | − | 0.267081i | ||||
\(144\) | 8.09013 | − | 8.86283i | 0.674177 | − | 0.738570i | ||||
\(145\) | 12.0000 | − | 6.92818i | 0.996542 | − | 0.575354i | ||||
\(146\) | 4.07458 | + | 5.71913i | 0.337214 | + | 0.473318i | ||||
\(147\) | −12.9413 | + | 17.0923i | −1.06738 | + | 1.40975i | ||||
\(148\) | −1.45135 | + | 1.63675i | −0.119300 | + | 0.134540i | ||||
\(149\) | 1.75754 | + | 5.57420i | 0.143983 | + | 0.456656i | 0.997973 | − | 0.0636328i | \(-0.0202686\pi\) |
−0.853990 | + | 0.520289i | \(0.825824\pi\) | |||||||
\(150\) | −0.283248 | − | 1.93286i | −0.0231271 | − | 0.157817i | ||||
\(151\) | 9.35798 | + | 4.36370i | 0.761542 | + | 0.355113i | 0.764281 | − | 0.644883i | \(-0.223094\pi\) |
−0.00273906 | + | 0.999996i | \(0.500872\pi\) | |||||||
\(152\) | −10.1504 | − | 7.40082i | −0.823306 | − | 0.600286i | ||||
\(153\) | −1.32983 | + | 17.8454i | −0.107510 | + | 1.44271i | ||||
\(154\) | −24.2735 | − | 18.3128i | −1.95602 | − | 1.47569i | ||||
\(155\) | 14.5488 | + | 9.26860i | 1.16859 | + | 0.744472i | ||||
\(156\) | 4.52091 | + | 0.291969i | 0.361962 | + | 0.0233763i | ||||
\(157\) | 1.46220 | − | 0.0638408i | 0.116696 | − | 0.00509505i | 0.0148030 | − | 0.999890i | \(-0.495288\pi\) |
0.101893 | + | 0.994795i | \(0.467510\pi\) | |||||||
\(158\) | −8.48052 | − | 3.00846i | −0.674674 | − | 0.239341i | ||||
\(159\) | −11.1982 | + | 13.5214i | −0.888071 | + | 1.07232i | ||||
\(160\) | 6.84334 | − | 11.7766i | 0.541014 | − | 0.931025i | ||||
\(161\) | 25.9733i | 2.04699i | ||||||||
\(162\) | −8.50745 | − | 9.46696i | −0.668408 | − | 0.743794i | ||||
\(163\) | 4.64869 | + | 11.2229i | 0.364113 | + | 0.879047i | 0.994690 | + | 0.102920i | \(0.0328186\pi\) |
−0.630576 | + | 0.776127i | \(0.717181\pi\) | |||||||
\(164\) | −14.2411 | + | 10.3224i | −1.11204 | + | 0.806042i | ||||
\(165\) | 9.52185 | + | 18.0071i | 0.741275 | + | 1.40185i | ||||
\(166\) | −0.977092 | − | 18.8462i | −0.0758370 | − | 1.46275i | ||||
\(167\) | −7.06777 | − | 15.1569i | −0.546921 | − | 1.17287i | −0.964463 | − | 0.264217i | \(-0.914886\pi\) |
0.417543 | − | 0.908657i | \(-0.362891\pi\) | |||||||
\(168\) | 21.1885 | + | 4.01406i | 1.63473 | + | 0.309692i | ||||
\(169\) | −6.47549 | − | 9.24796i | −0.498115 | − | 0.711382i | ||||
\(170\) | 2.81554 | + | 20.1155i | 0.215942 | + | 1.54279i | ||||
\(171\) | −8.87422 | + | 9.93862i | −0.678629 | + | 0.760025i | ||||
\(172\) | −4.22100 | − | 5.31876i | −0.321848 | − | 0.405552i | ||||
\(173\) | 18.8525 | − | 17.2752i | 1.43333 | − | 1.31341i | 0.558036 | − | 0.829816i | \(-0.311555\pi\) |
0.875295 | − | 0.483590i | \(-0.160667\pi\) | |||||||
\(174\) | 3.44909 | − | 13.6678i | 0.261475 | − | 1.03615i | ||||
\(175\) | 2.68933 | − | 2.25661i | 0.203294 | − | 0.170584i | ||||
\(176\) | −3.60345 | + | 19.2020i | −0.271620 | + | 1.44740i | ||||
\(177\) | 19.5315 | − | 11.4449i | 1.46808 | − | 0.860252i | ||||
\(178\) | 8.70323 | + | 12.2160i | 0.652334 | + | 0.915625i | ||||
\(179\) | 6.80037 | − | 8.86242i | 0.508284 | − | 0.662408i | −0.466770 | − | 0.884379i | \(-0.654582\pi\) |
0.975053 | + | 0.221971i | \(0.0712490\pi\) | |||||||
\(180\) | −11.7134 | − | 8.45610i | −0.873069 | − | 0.630280i | ||||
\(181\) | 5.56135 | − | 4.26738i | 0.413372 | − | 0.317192i | −0.381054 | − | 0.924553i | \(-0.624439\pi\) |
0.794426 | + | 0.607361i | \(0.207772\pi\) | |||||||
\(182\) | 3.81818 | + | 7.19068i | 0.283022 | + | 0.533009i | ||||
\(183\) | 0.445982 | − | 5.50591i | 0.0329679 | − | 0.407009i | ||||
\(184\) | 14.9477 | − | 7.42130i | 1.10196 | − | 0.547105i | ||||
\(185\) | 2.15732 | + | 1.51057i | 0.158609 | + | 0.111059i | ||||
\(186\) | 17.0757 | − | 4.04817i | 1.25205 | − | 0.296826i | ||||
\(187\) | −13.4529 | − | 25.8427i | −0.983770 | − | 1.88981i | ||||
\(188\) | −1.73187 | + | 1.03797i | −0.126309 | + | 0.0757016i | ||||
\(189\) | 6.45533 | − | 21.9437i | 0.469556 | − | 1.59617i | ||||
\(190\) | −7.45447 | + | 13.1585i | −0.540804 | + | 0.954619i | ||||
\(191\) | −0.575064 | − | 0.482536i | −0.0416102 | − | 0.0349151i | 0.621745 | − | 0.783219i | \(-0.286424\pi\) |
−0.663356 | + | 0.748304i | \(0.730868\pi\) | |||||||
\(192\) | −3.74404 | − | 13.3410i | −0.270203 | − | 0.962803i | ||||
\(193\) | 3.90013 | + | 22.1187i | 0.280737 | + | 1.59214i | 0.720126 | + | 0.693843i | \(0.244084\pi\) |
−0.439389 | + | 0.898297i | \(0.644805\pi\) | |||||||
\(194\) | −4.91865 | + | 4.19615i | −0.353138 | + | 0.301266i | ||||
\(195\) | −0.273001 | − | 5.44723i | −0.0195500 | − | 0.390084i | ||||
\(196\) | 8.84565 | + | 23.1212i | 0.631832 | + | 1.65151i | ||||
\(197\) | 7.01023 | − | 5.37914i | 0.499458 | − | 0.383248i | −0.328086 | − | 0.944648i | \(-0.606404\pi\) |
0.827545 | + | 0.561400i | \(0.189737\pi\) | |||||||
\(198\) | 19.8900 | + | 5.81394i | 1.41352 | + | 0.413179i | ||||
\(199\) | −13.8531 | − | 3.71193i | −0.982020 | − | 0.263132i | −0.268125 | − | 0.963384i | \(-0.586404\pi\) |
−0.713895 | + | 0.700252i | \(0.753071\pi\) | |||||||
\(200\) | −2.06710 | − | 0.902940i | −0.146166 | − | 0.0638475i | ||||
\(201\) | −3.94845 | − | 3.89790i | −0.278503 | − | 0.274937i | ||||
\(202\) | −1.22452 | + | 5.74508i | −0.0861570 | + | 0.404222i | ||||
\(203\) | 24.1601 | − | 7.61766i | 1.69571 | − | 0.534655i | ||||
\(204\) | 16.6754 | + | 12.2024i | 1.16751 | + | 0.854339i | ||||
\(205\) | 14.3056 | + | 15.6118i | 0.999147 | + | 1.09038i | ||||
\(206\) | 3.20278 | − | 3.25552i | 0.223148 | − | 0.226823i | ||||
\(207\) | −6.26790 | − | 16.5541i | −0.435649 | − | 1.15059i | ||||
\(208\) | 3.04730 | − | 4.25195i | 0.211292 | − | 0.294820i | ||||
\(209\) | 3.76690 | − | 21.3631i | 0.260562 | − | 1.47772i | ||||
\(210\) | 1.88474 | − | 25.8941i | 0.130059 | − | 1.78686i | ||||
\(211\) | 18.1341 | − | 0.791751i | 1.24840 | − | 0.0545064i | 0.590143 | − | 0.807298i | \(-0.299071\pi\) |
0.658258 | + | 0.752792i | \(0.271293\pi\) | |||||||
\(212\) | 6.41095 | + | 19.2320i | 0.440306 | + | 1.32086i | ||||
\(213\) | 4.67281 | − | 7.44018i | 0.320175 | − | 0.509793i | ||||
\(214\) | 7.41463 | + | 0.263088i | 0.506854 | + | 0.0179843i | ||||
\(215\) | −5.78036 | + | 5.78036i | −0.394217 | + | 0.394217i | ||||
\(216\) | −14.4732 | + | 2.55487i | −0.984775 | + | 0.173837i | ||||
\(217\) | 22.3004 | + | 22.3004i | 1.51385 | + | 1.51385i | ||||
\(218\) | 5.27538 | + | 5.66352i | 0.357294 | + | 0.383582i | ||||
\(219\) | 0.319780 | − | 8.59439i | 0.0216088 | − | 0.580755i | ||||
\(220\) | 23.4617 | + | 1.66705i | 1.58179 | + | 0.112392i | ||||
\(221\) | 0.340272 | + | 7.79350i | 0.0228892 | + | 0.524248i | ||||
\(222\) | 2.63141 | − | 0.503729i | 0.176609 | − | 0.0338081i | ||||
\(223\) | −14.5067 | − | 2.55791i | −0.971437 | − | 0.171291i | −0.334660 | − | 0.942339i | \(-0.608622\pi\) |
−0.636777 | + | 0.771048i | \(0.719733\pi\) | |||||||
\(224\) | 16.8747 | − | 18.3121i | 1.12749 | − | 1.22353i | ||||
\(225\) | −1.16947 | + | 2.08724i | −0.0779649 | + | 0.139149i | ||||
\(226\) | 17.6837 | − | 0.144405i | 1.17630 | − | 0.00960569i | ||||
\(227\) | 0.286867 | − | 0.262866i | 0.0190401 | − | 0.0174470i | −0.666014 | − | 0.745939i | \(-0.732001\pi\) |
0.685054 | + | 0.728492i | \(0.259779\pi\) | |||||||
\(228\) | 4.31936 | + | 14.7664i | 0.286057 | + | 0.977930i | ||||
\(229\) | 3.91652 | + | 12.4216i | 0.258811 | + | 0.820843i | 0.990295 | + | 0.138984i | \(0.0443837\pi\) |
−0.731484 | + | 0.681859i | \(0.761172\pi\) | |||||||
\(230\) | −10.9332 | − | 16.8563i | −0.720911 | − | 1.11147i | ||||
\(231\) | 9.87005 | + | 35.9086i | 0.649402 | + | 2.36261i | ||||
\(232\) | −11.2872 | − | 11.7277i | −0.741041 | − | 0.769959i | ||||
\(233\) | 0.857656 | − | 3.20082i | 0.0561869 | − | 0.209693i | −0.932125 | − | 0.362136i | \(-0.882048\pi\) |
0.988312 | + | 0.152444i | \(0.0487142\pi\) | |||||||
\(234\) | −4.16878 | − | 3.66157i | −0.272521 | − | 0.239364i | ||||
\(235\) | 1.47977 | + | 1.92848i | 0.0965296 | + | 0.125800i | ||||
\(236\) | 0.713568 | − | 26.1300i | 0.0464493 | − | 1.70092i | ||||
\(237\) | 5.98116 | + | 9.25640i | 0.388518 | + | 0.601268i | ||||
\(238\) | −2.93428 | + | 37.0181i | −0.190201 | + | 2.39953i | ||||
\(239\) | 19.3252 | − | 3.40755i | 1.25004 | − | 0.220416i | 0.490827 | − | 0.871257i | \(-0.336695\pi\) |
0.759214 | + | 0.650841i | \(0.225583\pi\) | |||||||
\(240\) | −15.4407 | + | 6.31398i | −0.996691 | + | 0.407566i | ||||
\(241\) | −1.54020 | + | 1.83554i | −0.0992132 | + | 0.118238i | −0.813366 | − | 0.581752i | \(-0.802368\pi\) |
0.714153 | + | 0.699989i | \(0.246812\pi\) | |||||||
\(242\) | −17.5230 | + | 4.84898i | −1.12642 | + | 0.311705i | ||||
\(243\) | 1.18117 | + | 15.5436i | 0.0757723 | + | 0.997125i | ||||
\(244\) | −5.12315 | − | 3.79983i | −0.327976 | − | 0.243259i | ||||
\(245\) | 26.4357 | − | 13.7616i | 1.68892 | − | 0.879195i | ||||
\(246\) | 21.5325 | + | 0.625158i | 1.37286 | + | 0.0398586i | ||||
\(247\) | −3.33152 | + | 4.75790i | −0.211980 | + | 0.302738i | ||||
\(248\) | 6.46213 | − | 19.2058i | 0.410346 | − | 1.21957i | ||||
\(249\) | −13.1347 | + | 19.0179i | −0.832380 | + | 1.20521i | ||||
\(250\) | 4.19154 | − | 13.6825i | 0.265096 | − | 0.865354i | ||||
\(251\) | −1.17606 | − | 1.53267i | −0.0742323 | − | 0.0967414i | 0.754761 | − | 0.656000i | \(-0.227753\pi\) |
−0.828994 | + | 0.559258i | \(0.811086\pi\) | |||||||
\(252\) | −17.5612 | − | 19.7283i | −1.10625 | − | 1.24276i | ||||
\(253\) | 22.8636 | + | 17.5438i | 1.43742 | + | 1.10297i | ||||
\(254\) | 13.9951 | + | 2.35005i | 0.878132 | + | 0.147455i | ||||
\(255\) | 12.2992 | − | 21.6233i | 0.770205 | − | 1.35411i | ||||
\(256\) | −15.3602 | − | 4.47916i | −0.960015 | − | 0.279947i | ||||
\(257\) | −13.8561 | − | 16.5130i | −0.864318 | − | 1.03005i | −0.999232 | − | 0.0391969i | \(-0.987520\pi\) |
0.134913 | − | 0.990857i | \(-0.456924\pi\) | |||||||
\(258\) | 0.121480 | + | 8.31531i | 0.00756302 | + | 0.517689i | ||||
\(259\) | 3.25284 | + | 3.54986i | 0.202122 | + | 0.220577i | ||||
\(260\) | −5.50476 | − | 3.05942i | −0.341391 | − | 0.189737i | ||||
\(261\) | −13.5601 | + | 10.6854i | −0.839352 | + | 0.661413i | ||||
\(262\) | 24.9374 | + | 18.8136i | 1.54064 | + | 1.16231i | ||||
\(263\) | −3.72996 | + | 2.61175i | −0.229999 | + | 0.161047i | −0.682896 | − | 0.730516i | \(-0.739280\pi\) |
0.452896 | + | 0.891563i | \(0.350391\pi\) | |||||||
\(264\) | 17.8454 | − | 15.9403i | 1.09831 | − | 0.981059i | ||||
\(265\) | 22.1193 | − | 10.3144i | 1.35878 | − | 0.633608i | ||||
\(266\) | −18.5123 | + | 20.5368i | −1.13506 | + | 1.25919i | ||||
\(267\) | 0.683046 | − | 18.3575i | 0.0418017 | − | 1.12346i | ||||
\(268\) | −6.23132 | + | 1.48862i | −0.380638 | + | 0.0909317i | ||||
\(269\) | −6.93173 | + | 2.87122i | −0.422635 | + | 0.175061i | −0.583856 | − | 0.811857i | \(-0.698457\pi\) |
0.161221 | + | 0.986918i | \(0.448457\pi\) | |||||||
\(270\) | 5.04754 | + | 16.9584i | 0.307184 | + | 1.03206i | ||||
\(271\) | 3.70365 | 0.224980 | 0.112490 | − | 0.993653i | \(-0.464117\pi\) | ||||
0.112490 | + | 0.993653i | \(0.464117\pi\) | |||||||
\(272\) | 22.1424 | − | 8.88840i | 1.34258 | − | 0.538938i | ||||
\(273\) | 1.66820 | − | 9.83075i | 0.100964 | − | 0.594984i | ||||
\(274\) | −5.82305 | − | 12.2259i | −0.351784 | − | 0.738595i | ||||
\(275\) | −0.169910 | − | 3.89158i | −0.0102460 | − | 0.234671i | ||||
\(276\) | −20.0504 | − | 3.96832i | −1.20689 | − | 0.238865i | ||||
\(277\) | −16.4970 | + | 25.8952i | −0.991211 | + | 1.55589i | −0.169858 | + | 0.985469i | \(0.554331\pi\) |
−0.821353 | + | 0.570421i | \(0.806780\pi\) | |||||||
\(278\) | 5.99683 | − | 0.839370i | 0.359666 | − | 0.0503420i | ||||
\(279\) | −19.5947 | − | 8.83162i | −1.17311 | − | 0.528735i | ||||
\(280\) | −24.2239 | − | 17.6620i | −1.44765 | − | 1.05551i | ||||
\(281\) | 10.9940 | − | 23.5768i | 0.655850 | − | 1.40647i | −0.243784 | − | 0.969829i | \(-0.578389\pi\) |
0.899634 | − | 0.436645i | \(-0.143833\pi\) | |||||||
\(282\) | 2.45617 | + | 0.286927i | 0.146263 | + | 0.0170862i | ||||
\(283\) | −15.8106 | + | 4.98505i | −0.939841 | + | 0.296331i | −0.731590 | − | 0.681745i | \(-0.761221\pi\) |
−0.208251 | + | 0.978075i | \(0.566777\pi\) | |||||||
\(284\) | −4.43706 | − | 9.12328i | −0.263291 | − | 0.541367i | ||||
\(285\) | 17.0663 | − | 7.19825i | 1.01092 | − | 0.426388i | ||||
\(286\) | 8.90876 | + | 1.49595i | 0.526786 | + | 0.0884575i | ||||
\(287\) | 19.3564 | + | 33.5262i | 1.14257 | + | 1.97899i | ||||
\(288\) | −6.33597 | + | 15.7434i | −0.373351 | + | 0.927690i | ||||
\(289\) | −9.29036 | + | 16.0914i | −0.546492 | + | 0.946552i | ||||
\(290\) | −12.4730 | + | 15.1136i | −0.732438 | + | 0.887503i | ||||
\(291\) | 7.90848 | − | 0.396353i | 0.463603 | − | 0.0232346i | ||||
\(292\) | −8.22679 | − | 5.56247i | −0.481436 | − | 0.325519i | ||||
\(293\) | −5.86364 | + | 26.4492i | −0.342558 | + | 1.54518i | 0.425597 | + | 0.904913i | \(0.360064\pi\) |
−0.768154 | + | 0.640265i | \(0.778825\pi\) | |||||||
\(294\) | 8.69378 | − | 29.0460i | 0.507032 | − | 1.69400i | ||||
\(295\) | −31.3499 | + | 2.74276i | −1.82526 | + | 0.159690i | ||||
\(296\) | 1.11353 | − | 2.88632i | 0.0647225 | − | 0.167764i | ||||
\(297\) | −14.9562 | − | 20.5045i | −0.867844 | − | 1.18979i | ||||
\(298\) | −5.08520 | − | 6.51629i | −0.294578 | − | 0.377479i | ||||
\(299\) | −3.56304 | − | 6.84454i | −0.206056 | − | 0.395830i | ||||
\(300\) | 1.33113 | + | 2.42083i | 0.0768528 | + | 0.139767i | ||||
\(301\) | −12.6046 | + | 8.03003i | −0.726519 | + | 0.462843i | ||||
\(302\) | −14.5567 | − | 1.15385i | −0.837641 | − | 0.0663965i | ||||
\(303\) | 5.48125 | − | 4.65982i | 0.314890 | − | 0.267700i | ||||
\(304\) | 17.1085 | + | 4.78596i | 0.981238 | + | 0.274493i | ||||
\(305\) | −3.83954 | + | 6.65029i | −0.219852 | + | 0.380794i | ||||
\(306\) | −7.06307 | − | 24.3016i | −0.403769 | − | 1.38923i | ||||
\(307\) | 24.7451 | + | 18.9876i | 1.41228 | + | 1.08368i | 0.983629 | + | 0.180207i | \(0.0576767\pi\) |
0.428648 | + | 0.903471i | \(0.358990\pi\) | |||||||
\(308\) | 41.2169 | + | 12.2593i | 2.34855 | + | 0.698539i | ||||
\(309\) | −5.54057 | + | 0.765775i | −0.315192 | + | 0.0435634i | ||||
\(310\) | −23.8597 | − | 5.08553i | −1.35514 | − | 0.288838i | ||||
\(311\) | −1.94414 | + | 22.2216i | −0.110242 | + | 1.26007i | 0.716540 | + | 0.697546i | \(0.245725\pi\) |
−0.826782 | + | 0.562523i | \(0.809831\pi\) | |||||||
\(312\) | −6.13428 | + | 1.84886i | −0.347285 | + | 0.104671i | ||||
\(313\) | −24.6288 | − | 11.4846i | −1.39210 | − | 0.649148i | −0.425389 | − | 0.905011i | \(-0.639863\pi\) |
−0.966713 | + | 0.255863i | \(0.917640\pi\) | |||||||
\(314\) | −1.90574 | + | 0.807677i | −0.107547 | + | 0.0455798i | ||||
\(315\) | −21.1783 | + | 23.7185i | −1.19326 | + | 1.33638i | ||||
\(316\) | 12.7239 | − | 0.207820i | 0.715774 | − | 0.0116908i | ||||
\(317\) | −19.5979 | + | 4.34475i | −1.10073 | + | 0.244025i | −0.729135 | − | 0.684370i | \(-0.760077\pi\) |
−0.371593 | + | 0.928396i | \(0.621188\pi\) | |||||||
\(318\) | 8.15012 | − | 23.4527i | 0.457036 | − | 1.31516i | ||||
\(319\) | 9.61349 | − | 26.4129i | 0.538252 | − | 1.47884i | ||||
\(320\) | −3.24313 | + | 18.9874i | −0.181296 | + | 1.06143i | ||||
\(321\) | −6.99834 | − | 5.79588i | −0.390609 | − | 0.323495i | ||||
\(322\) | −12.8445 | − | 34.4129i | −0.715794 | − | 1.91776i | ||||
\(323\) | −24.4757 | + | 10.1382i | −1.36186 | + | 0.564102i | ||||
\(324\) | 15.9534 | + | 8.33593i | 0.886302 | + | 0.463107i | ||||
\(325\) | −0.399132 | + | 0.963590i | −0.0221399 | + | 0.0534503i | ||||
\(326\) | −11.7092 | − | 12.5707i | −0.648513 | − | 0.696228i | ||||
\(327\) | −0.886997 | − | 9.43774i | −0.0490510 | − | 0.521908i | ||||
\(328\) | 13.7638 | − | 20.7190i | 0.759979 | − | 1.14402i | ||||
\(329\) | 1.87813 | + | 4.02767i | 0.103545 | + | 0.222053i | ||||
\(330\) | −21.5208 | − | 19.1494i | −1.18468 | − | 1.05414i | ||||
\(331\) | −12.2674 | − | 7.81517i | −0.674275 | − | 0.429561i | 0.155366 | − | 0.987857i | \(-0.450344\pi\) |
−0.829642 | + | 0.558296i | \(0.811455\pi\) | |||||||
\(332\) | 10.6145 | + | 24.4868i | 0.582548 | + | 1.34389i | ||||
\(333\) | −2.92985 | − | 1.47752i | −0.160555 | − | 0.0809677i | ||||
\(334\) | 16.8598 | + | 16.5867i | 0.922526 | + | 0.907581i | ||||
\(335\) | 2.63800 | + | 7.24783i | 0.144129 | + | 0.395992i | ||||
\(336\) | −30.0584 | + | 5.15989i | −1.63982 | + | 0.281495i | ||||
\(337\) | −3.72483 | − | 4.43908i | −0.202905 | − | 0.241812i | 0.654991 | − | 0.755637i | \(-0.272673\pi\) |
−0.857895 | + | 0.513825i | \(0.828228\pi\) | |||||||
\(338\) | 13.1529 | + | 9.05063i | 0.715425 | + | 0.492289i | ||||
\(339\) | −17.2676 | − | 13.0740i | −0.937849 | − | 0.710084i | ||||
\(340\) | −13.6780 | − | 25.2593i | −0.741794 | − | 1.36988i | ||||
\(341\) | 34.6934 | − | 4.56747i | 1.87875 | − | 0.247343i | ||||
\(342\) | 6.84285 | − | 17.5565i | 0.370019 | − | 0.949348i | ||||
\(343\) | 22.8663 | − | 6.12701i | 1.23466 | − | 0.330827i | ||||
\(344\) | 8.22280 | + | 4.95961i | 0.443344 | + | 0.267404i | ||||
\(345\) | −1.98667 | + | 24.5266i | −0.106959 | + | 1.32047i | ||||
\(346\) | −16.4353 | + | 32.2115i | −0.883568 | + | 1.73170i | ||||
\(347\) | −4.56266 | − | 1.01152i | −0.244937 | − | 0.0543012i | 0.0922616 | − | 0.995735i | \(-0.470590\pi\) |
−0.337198 | + | 0.941434i | \(0.609479\pi\) | |||||||
\(348\) | 2.18924 | + | 19.8145i | 0.117356 | + | 1.06217i | ||||
\(349\) | 9.64209 | + | 3.04014i | 0.516129 | + | 0.162735i | 0.547553 | − | 0.836771i | \(-0.315560\pi\) |
−0.0314233 | + | 0.999506i | \(0.510004\pi\) | |||||||
\(350\) | −2.44722 | + | 4.31980i | −0.130810 | + | 0.230903i | ||||
\(351\) | 1.30914 | + | 6.66820i | 0.0698766 | + | 0.355922i | ||||
\(352\) | −4.72153 | − | 27.2233i | −0.251659 | − | 1.45101i | ||||
\(353\) | 2.51557 | − | 2.99793i | 0.133890 | − | 0.159564i | −0.694934 | − | 0.719074i | \(-0.744566\pi\) |
0.828824 | + | 0.559510i | \(0.189011\pi\) | |||||||
\(354\) | −20.2181 | + | 24.8225i | −1.07458 | + | 1.31930i | ||||
\(355\) | −10.3009 | + | 6.56238i | −0.546713 | + | 0.348295i | ||||
\(356\) | −17.5723 | − | 11.8814i | −0.931329 | − | 0.629710i | ||||
\(357\) | 30.5091 | − | 33.7286i | 1.61471 | − | 1.78510i | ||||
\(358\) | −4.62734 | + | 15.1051i | −0.244563 | + | 0.798327i | ||||
\(359\) | −0.225976 | + | 0.0605501i | −0.0119266 | + | 0.00319571i | −0.264777 | − | 0.964310i | \(-0.585298\pi\) |
0.252851 | + | 0.967505i | \(0.418632\pi\) | |||||||
\(360\) | 19.7013 | + | 5.41116i | 1.03835 | + | 0.285193i | ||||
\(361\) | −0.700615 | − | 0.187729i | −0.0368745 | − | 0.00988048i | ||||
\(362\) | −5.25809 | + | 8.40421i | −0.276359 | + | 0.441716i | ||||
\(363\) | 20.6272 | + | 8.38880i | 1.08265 | + | 0.440298i | ||||
\(364\) | −8.61480 | − | 7.63898i | −0.451538 | − | 0.400391i | ||||
\(365\) | −5.52054 | + | 10.6049i | −0.288958 | + | 0.555084i | ||||
\(366\) | 2.13192 | + | 7.51551i | 0.111437 | + | 0.392842i | ||||
\(367\) | −21.5854 | + | 7.85644i | −1.12675 | + | 0.410103i | −0.837111 | − | 0.547033i | \(-0.815757\pi\) |
−0.289638 | + | 0.957136i | \(0.593535\pi\) | |||||||
\(368\) | −16.1347 | + | 17.2248i | −0.841081 | + | 0.897902i | ||||
\(369\) | −20.4273 | − | 16.6968i | −1.06340 | − | 0.869202i | ||||
\(370\) | −3.60531 | − | 0.934554i | −0.187431 | − | 0.0485852i | ||||
\(371\) | 43.5620 | − | 9.65746i | 2.26163 | − | 0.501390i | ||||
\(372\) | −20.6222 | + | 13.8079i | −1.06921 | + | 0.715907i | ||||
\(373\) | −1.73907 | − | 1.59356i | −0.0900456 | − | 0.0825116i | 0.629307 | − | 0.777157i | \(-0.283339\pi\) |
−0.719352 | + | 0.694646i | \(0.755561\pi\) | |||||||
\(374\) | 30.6040 | + | 27.5870i | 1.58249 | + | 1.42649i | ||||
\(375\) | −14.2916 | + | 10.1449i | −0.738013 | + | 0.523880i | ||||
\(376\) | 1.78130 | − | 2.23169i | 0.0918637 | − | 0.115091i | ||||
\(377\) | −5.32172 | + | 5.32172i | −0.274083 | + | 0.274083i | ||||
\(378\) | 2.29885 | + | 32.2663i | 0.118240 | + | 1.65960i | ||||
\(379\) | −7.09675 | − | 2.93957i | −0.364536 | − | 0.150996i | 0.192894 | − | 0.981220i | \(-0.438213\pi\) |
−0.557430 | + | 0.830224i | \(0.688213\pi\) | |||||||
\(380\) | 3.36946 | − | 21.1206i | 0.172849 | − | 1.08346i | ||||
\(381\) | −11.8244 | − | 12.7383i | −0.605780 | − | 0.652602i | ||||
\(382\) | 1.00055 | + | 0.354944i | 0.0511924 | + | 0.0181605i | ||||
\(383\) | −27.8935 | − | 10.1524i | −1.42529 | − | 0.518763i | −0.489712 | − | 0.871884i | \(-0.662898\pi\) |
−0.935577 | + | 0.353122i | \(0.885120\pi\) | |||||||
\(384\) | 11.5581 | + | 15.8244i | 0.589819 | + | 0.807535i | ||||
\(385\) | 8.98968 | − | 50.9830i | 0.458157 | − | 2.59834i | ||||
\(386\) | −16.1057 | − | 27.3771i | −0.819757 | − | 1.39346i | ||||
\(387\) | 6.09574 | − | 8.15970i | 0.309864 | − | 0.414781i | ||||
\(388\) | 4.44177 | − | 7.99201i | 0.225497 | − | 0.405733i | ||||
\(389\) | 26.3522 | + | 1.15056i | 1.33611 | + | 0.0583358i | 0.700488 | − | 0.713665i | \(-0.252966\pi\) |
0.635622 | + | 0.772000i | \(0.280744\pi\) | |||||||
\(390\) | 3.05550 | + | 7.08220i | 0.154721 | + | 0.358621i | ||||
\(391\) | 3.06746 | − | 35.0613i | 0.155128 | − | 1.77312i | ||||
\(392\) | −23.1539 | − | 26.2596i | −1.16945 | − | 1.32631i | ||||
\(393\) | −10.1400 | − | 36.8907i | −0.511496 | − | 1.86089i | ||||
\(394\) | −6.62796 | + | 10.5937i | −0.333912 | + | 0.533705i | ||||
\(395\) | −1.99971 | − | 15.1893i | −0.100616 | − | 0.764255i | ||||
\(396\) | −29.2280 | + | 2.13302i | −1.46876 | + | 0.107188i | ||||
\(397\) | −1.65828 | − | 0.218317i | −0.0832269 | − | 0.0109570i | 0.0887977 | − | 0.996050i | \(-0.471698\pi\) |
−0.172025 | + | 0.985093i | \(0.555031\pi\) | |||||||
\(398\) | 20.1901 | − | 1.93265i | 1.01204 | − | 0.0968752i | ||||
\(399\) | 33.3099 | − | 6.09495i | 1.66758 | − | 0.305129i | ||||
\(400\) | 3.18530 | + | 0.174100i | 0.159265 | + | 0.00870502i | ||||
\(401\) | −0.00121463 | − | 0.00688853i | −6.06560e−5 | − | 0.000343997i | 0.984777 | − | 0.173820i | \(-0.0556111\pi\) |
−0.984838 | + | 0.173476i | \(0.944500\pi\) | |||||||
\(402\) | 7.15905 | + | 3.21185i | 0.357061 | + | 0.160192i | ||||
\(403\) | −8.93584 | − | 2.81746i | −0.445126 | − | 0.140348i | ||||
\(404\) | −1.21868 | − | 8.21739i | −0.0606314 | − | 0.408831i | ||||
\(405\) | 7.77422 | − | 20.2277i | 0.386304 | − | 1.00512i | ||||
\(406\) | −28.2434 | + | 22.0407i | −1.40170 | + | 1.09386i | ||||
\(407\) | 5.32199 | − | 0.465614i | 0.263801 | − | 0.0230796i | ||||
\(408\) | −28.1282 | − | 7.92094i | −1.39255 | − | 0.392145i | ||||
\(409\) | −19.9312 | + | 28.4647i | −0.985536 | + | 1.40749i | −0.0735393 | + | 0.997292i | \(0.523429\pi\) |
−0.911996 | + | 0.410198i | \(0.865459\pi\) | |||||||
\(410\) | −26.6744 | − | 13.6101i | −1.31735 | − | 0.672157i | ||||
\(411\) | −3.48533 | + | 16.2149i | −0.171918 | + | 0.799824i | ||||
\(412\) | −2.63353 | + | 5.89720i | −0.129745 | + | 0.290534i | ||||
\(413\) | −57.0416 | − | 7.50967i | −2.80683 | − | 0.369527i | ||||
\(414\) | 16.4910 | + | 18.8334i | 0.810486 | + | 0.925612i | ||||
\(415\) | 27.8256 | − | 16.0651i | 1.36590 | − | 0.788605i | ||||
\(416\) | −1.93477 | + | 7.14052i | −0.0948600 | + | 0.350093i | ||||
\(417\) | −6.44635 | − | 3.66664i | −0.315679 | − | 0.179556i | ||||
\(418\) | 5.57373 | + | 30.1675i | 0.272620 | + | 1.47554i | ||||
\(419\) | 12.0957 | − | 23.2357i | 0.590916 | − | 1.13514i | −0.386197 | − | 0.922416i | \(-0.626212\pi\) |
0.977113 | − | 0.212722i | \(-0.0682329\pi\) | |||||||
\(420\) | 10.3081 | + | 35.2400i | 0.502985 | + | 1.71953i | ||||
\(421\) | 0.150443 | − | 3.44571i | 0.00733214 | − | 0.167934i | −0.991847 | − | 0.127432i | \(-0.959327\pi\) |
0.999179 | − | 0.0405018i | \(-0.0128957\pi\) | |||||||
\(422\) | −23.6349 | + | 10.0168i | −1.15053 | + | 0.487609i | ||||
\(423\) | −2.16899 | − | 2.11380i | −0.105460 | − | 0.102777i | ||||
\(424\) | −18.0048 | − | 22.3107i | −0.874389 | − | 1.08350i | ||||
\(425\) | −3.89681 | + | 2.72858i | −0.189023 | + | 0.132356i | ||||
\(426\) | −2.51179 | + | 12.1686i | −0.121697 | + | 0.589568i | ||||
\(427\) | −9.48471 | + | 10.3507i | −0.458997 | + | 0.500907i | ||||
\(428\) | −9.95399 | + | 3.31815i | −0.481144 | + | 0.160389i | ||||
\(429\) | −7.52694 | − | 8.10871i | −0.363404 | − | 0.391492i | ||||
\(430\) | 4.80005 | − | 10.5171i | 0.231479 | − | 0.507181i | ||||
\(431\) | − | 13.1247i | − | 0.632197i | −0.948726 | − | 0.316098i | \(-0.897627\pi\) | ||
0.948726 | − | 0.316098i | \(-0.102373\pi\) | |||||||
\(432\) | 17.9125 | − | 10.5424i | 0.861817 | − | 0.507220i | ||||
\(433\) | 3.89901i | 0.187375i | 0.995602 | + | 0.0936873i | \(0.0298654\pi\) | ||||
−0.995602 | + | 0.0936873i | \(0.970135\pi\) | |||||||
\(434\) | −40.5747 | − | 18.5184i | −1.94765 | − | 0.888914i | ||||
\(435\) | 23.3971 | − | 5.34537i | 1.12180 | − | 0.256291i | ||||
\(436\) | −9.79027 | − | 4.89497i | −0.468869 | − | 0.234426i | ||||
\(437\) | 17.7040 | − | 19.3205i | 0.846897 | − | 0.924226i | ||||
\(438\) | 3.82646 | + | 11.5451i | 0.182835 | + | 0.551647i | ||||
\(439\) | −2.23924 | + | 1.56794i | −0.106873 | + | 0.0748335i | −0.625791 | − | 0.779991i | \(-0.715224\pi\) |
0.518918 | + | 0.854824i | \(0.326335\pi\) | |||||||
\(440\) | −31.9095 | + | 9.39366i | −1.52123 | + | 0.447825i | ||||
\(441\) | −30.1408 | + | 21.6889i | −1.43528 | + | 1.03280i | ||||
\(442\) | −4.30492 | − | 10.1576i | −0.204764 | − | 0.483147i | ||||
\(443\) | −0.398933 | + | 9.13706i | −0.0189539 | + | 0.434115i | 0.965707 | + | 0.259635i | \(0.0836022\pi\) |
−0.984661 | + | 0.174480i | \(0.944176\pi\) | |||||||
\(444\) | −3.23734 | + | 1.96871i | −0.153637 | + | 0.0934307i | ||||
\(445\) | −11.7918 | + | 22.6518i | −0.558984 | + | 1.07380i | ||||
\(446\) | 20.4853 | − | 3.78484i | 0.970006 | − | 0.179217i | ||||
\(447\) | 0.0652177 | + | 10.1231i | 0.00308469 | + | 0.478808i | ||||
\(448\) | −13.3020 | + | 32.6073i | −0.628460 | + | 1.54055i | ||||
\(449\) | 4.79013 | − | 2.76558i | 0.226060 | − | 0.130516i | −0.382693 | − | 0.923876i | \(-0.625003\pi\) |
0.608753 | + | 0.793360i | \(0.291670\pi\) | |||||||
\(450\) | 0.517281 | − | 3.34379i | 0.0243848 | − | 0.157628i | ||||
\(451\) | 42.5865 | + | 5.60662i | 2.00532 | + | 0.264006i | ||||
\(452\) | −23.3583 | + | 8.93636i | −1.09868 | + | 0.420331i | ||||
\(453\) | 13.2631 | + | 11.9971i | 0.623155 | + | 0.563674i | ||||
\(454\) | −0.250086 | + | 0.490142i | −0.0117371 | + | 0.0230035i | ||||
\(455\) | −7.95065 | + | 11.3547i | −0.372732 | + | 0.532317i | ||||
\(456\) | −13.0252 | − | 17.4285i | −0.609962 | − | 0.816163i | ||||
\(457\) | 25.6433 | − | 2.24349i | 1.19954 | − | 0.104946i | 0.530181 | − | 0.847884i | \(-0.322124\pi\) |
0.669360 | + | 0.742938i | \(0.266568\pi\) | |||||||
\(458\) | −11.3319 | − | 14.5210i | −0.529506 | − | 0.678521i | ||||
\(459\) | −11.3056 | + | 28.8594i | −0.527700 | + | 1.34704i | ||||
\(460\) | 22.8215 | + | 16.9267i | 1.06406 | + | 0.789211i | ||||
\(461\) | 1.16486 | + | 0.367280i | 0.0542531 | + | 0.0171060i | 0.327711 | − | 0.944778i | \(-0.393723\pi\) |
−0.273458 | + | 0.961884i | \(0.588167\pi\) | |||||||
\(462\) | −30.8348 | − | 42.6954i | −1.43457 | − | 1.98637i | ||||
\(463\) | −2.55023 | − | 14.4631i | −0.118519 | − | 0.672155i | −0.984947 | − | 0.172854i | \(-0.944701\pi\) |
0.866428 | − | 0.499301i | \(-0.166410\pi\) | |||||||
\(464\) | 20.7544 | + | 9.95655i | 0.963499 | + | 0.462221i | ||||
\(465\) | 19.3526 | + | 22.7640i | 0.897453 | + | 1.05566i | ||||
\(466\) | 0.446548 | + | 4.66500i | 0.0206859 | + | 0.216102i | ||||
\(467\) | 36.9571 | + | 4.86549i | 1.71017 | + | 0.225148i | 0.921147 | − | 0.389216i | \(-0.127254\pi\) |
0.789023 | + | 0.614364i | \(0.210587\pi\) | |||||||
\(468\) | 7.33408 | + | 2.78977i | 0.339018 | + | 0.128957i | ||||
\(469\) | 1.84056 | + | 13.9805i | 0.0849893 | + | 0.645558i | ||||
\(470\) | −2.91428 | − | 1.82331i | −0.134425 | − | 0.0841032i | ||||
\(471\) | 2.45281 | + | 0.640320i | 0.113019 | + | 0.0295044i | ||||
\(472\) | 11.9765 | + | 34.9734i | 0.551264 | + | 1.60978i | ||||
\(473\) | −1.44526 | + | 16.5194i | −0.0664532 | + | 0.759564i | ||||
\(474\) | −12.5022 | − | 9.30627i | −0.574243 | − | 0.427451i | ||||
\(475\) | −3.53864 | − | 0.154500i | −0.162364 | − | 0.00708896i | ||||
\(476\) | −14.4187 | − | 50.4975i | −0.660878 | − | 2.31455i | ||||
\(477\) | −25.4337 | + | 16.6676i | −1.16453 | + | 0.763156i | ||||
\(478\) | −23.9194 | + | 14.0716i | −1.09405 | + | 0.643618i | ||||
\(479\) | 5.20502 | − | 29.5191i | 0.237823 | − | 1.34876i | −0.598762 | − | 0.800927i | \(-0.704340\pi\) |
0.836585 | − | 0.547836i | \(-0.184548\pi\) | |||||||
\(480\) | 17.3354 | − | 16.0014i | 0.791250 | − | 0.730360i | ||||
\(481\) | −1.34417 | − | 0.489237i | −0.0612887 | − | 0.0223073i | ||||
\(482\) | 1.13294 | − | 3.19364i | 0.0516041 | − | 0.145466i | ||||
\(483\) | −13.2512 | + | 42.9913i | −0.602951 | + | 1.95617i | ||||
\(484\) | 20.8189 | − | 15.0902i | 0.946313 | − | 0.685916i | ||||
\(485\) | −10.1698 | − | 4.21248i | −0.461788 | − | 0.191279i | ||||
\(486\) | −9.25170 | − | 20.0102i | −0.419665 | − | 0.907679i | ||||
\(487\) | −26.6113 | + | 26.6113i | −1.20587 | + | 1.20587i | −0.233520 | + | 0.972352i | \(0.575024\pi\) |
−0.972352 | + | 0.233520i | \(0.924976\pi\) | |||||||
\(488\) | 8.66693 | + | 2.50099i | 0.392334 | + | 0.113215i | ||||
\(489\) | 1.96877 | + | 20.9480i | 0.0890311 | + | 0.947299i | ||||
\(490\) | −28.2201 | + | 31.3063i | −1.27485 | + | 1.41427i | ||||
\(491\) | 19.0401 | + | 17.4471i | 0.859269 | + | 0.787375i | 0.978663 | − | 0.205472i | \(-0.0658730\pi\) |
−0.119394 | + | 0.992847i | \(0.538095\pi\) | |||||||
\(492\) | −28.8383 | + | 9.82008i | −1.30013 | + | 0.442723i | ||||
\(493\) | −33.5133 | + | 7.42971i | −1.50936 | + | 0.334618i | ||||
\(494\) | 2.06114 | − | 7.95142i | 0.0927349 | − | 0.357751i | ||||
\(495\) | 6.57368 | + | 34.6634i | 0.295465 | + | 1.55800i | ||||
\(496\) | 0.935878 | + | 28.6421i | 0.0420222 | + | 1.28607i | ||||
\(497\) | −20.9827 | + | 7.63708i | −0.941202 | + | 0.342570i | ||||
\(498\) | 7.99778 | − | 31.6929i | 0.358389 | − | 1.42019i | ||||
\(499\) | 6.90107 | − | 13.2568i | 0.308934 | − | 0.593457i | −0.681440 | − | 0.731874i | \(-0.738646\pi\) |
0.990374 | + | 0.138417i | \(0.0442015\pi\) | |||||||
\(500\) | 1.21281 | + | 20.2011i | 0.0542386 | + | 0.903423i | ||||
\(501\) | −3.96581 | − | 28.6937i | −0.177179 | − | 1.28194i | ||||
\(502\) | 2.31614 | + | 1.44909i | 0.103375 | + | 0.0646762i | ||||
\(503\) | −8.09049 | − | 2.16784i | −0.360737 | − | 0.0966592i | 0.0738981 | − | 0.997266i | \(-0.476456\pi\) |
−0.434635 | + | 0.900607i | \(0.643123\pi\) | |||||||
\(504\) | 33.0235 | + | 17.4542i | 1.47098 | + | 0.777470i | ||||
\(505\) | −9.66035 | + | 2.58848i | −0.429880 | + | 0.115186i | ||||
\(506\) | −38.9686 | − | 11.9378i | −1.73236 | − | 0.530699i | ||||
\(507\) | −6.00011 | − | 18.6110i | −0.266474 | − | 0.826543i | ||||
\(508\) | −19.7047 | + | 3.80728i | −0.874256 | + | 0.168921i | ||||
\(509\) | 11.9009 | − | 7.58173i | 0.527499 | − | 0.336054i | −0.246601 | − | 0.969117i | \(-0.579314\pi\) |
0.774100 | + | 0.633063i | \(0.218203\pi\) | |||||||
\(510\) | −5.60230 | + | 34.7317i | −0.248074 | + | 1.53795i | ||||
\(511\) | −14.0499 | + | 16.7441i | −0.621532 | + | 0.740713i | ||||
\(512\) | 22.5663 | − | 1.66145i | 0.997301 | − | 0.0734263i | ||||
\(513\) | −19.7592 | + | 11.9230i | −0.872391 | + | 0.526412i | ||||
\(514\) | 26.5245 | + | 15.0265i | 1.16994 | + | 0.662789i | ||||
\(515\) | 7.41555 | + | 2.33811i | 0.326768 | + | 0.103030i | ||||
\(516\) | −4.27308 | − | 10.9571i | −0.188112 | − | 0.482361i | ||||
\(517\) | 4.81404 | + | 1.06725i | 0.211721 | + | 0.0469375i | ||||
\(518\) | −6.06529 | − | 3.09471i | −0.266494 | − | 0.135974i | ||||
\(519\) | 40.0184 | − | 18.9757i | 1.75661 | − | 0.832941i | ||||
\(520\) | 8.80640 | + | 1.33128i | 0.386186 | + | 0.0583803i | ||||
\(521\) | −22.3705 | + | 5.99416i | −0.980070 | + | 0.262609i | −0.713074 | − | 0.701089i | \(-0.752698\pi\) |
−0.266996 | + | 0.963698i | \(0.586031\pi\) | |||||||
\(522\) | 12.6821 | − | 20.8633i | 0.555078 | − | 0.913163i | ||||
\(523\) | 5.24623 | − | 0.690680i | 0.229402 | − | 0.0302013i | −0.0149488 | − | 0.999888i | \(-0.504759\pi\) |
0.244351 | + | 0.969687i | \(0.421425\pi\) | |||||||
\(524\) | −42.3442 | − | 12.5946i | −1.84982 | − | 0.550198i | ||||
\(525\) | 5.60268 | − | 2.36311i | 0.244521 | − | 0.103134i | ||||
\(526\) | 3.65037 | − | 5.30494i | 0.159164 | − | 0.231307i | ||||
\(527\) | −27.4696 | − | 32.7369i | −1.19659 | − | 1.42604i | ||||
\(528\) | −15.7610 | + | 29.9448i | −0.685910 | + | 1.30318i | ||||
\(529\) | 4.04058 | + | 11.1014i | 0.175677 | + | 0.482669i | ||||
\(530\) | −24.2058 | + | 24.6044i | −1.05143 | + | 1.06875i | ||||
\(531\) | 38.1677 | − | 8.97903i | 1.65634 | − | 0.389657i | ||||
\(532\) | 14.3716 | − | 36.3647i | 0.623086 | − | 1.57661i | ||||
\(533\) | −9.69997 | − | 6.17956i | −0.420152 | − | 0.267666i | ||||
\(534\) | 8.17324 | + | 24.6602i | 0.353691 | + | 1.06715i | ||||
\(535\) | 5.33847 | + | 11.4484i | 0.230802 | + | 0.494957i | ||||
\(536\) | 7.51991 | − | 5.05386i | 0.324811 | − | 0.218293i | ||||
\(537\) | 15.7775 | − | 11.1997i | 0.680849 | − | 0.483302i | ||||
\(538\) | 7.76419 | − | 7.23209i | 0.334738 | − | 0.311797i | ||||
\(539\) | 23.1357 | − | 55.8546i | 0.996526 | − | 2.40583i | ||||
\(540\) | −15.0740 | − | 19.9726i | −0.648682 | − | 0.859485i | ||||
\(541\) | 24.1150 | − | 9.98876i | 1.03678 | − | 0.429450i | 0.201628 | − | 0.979462i | \(-0.435377\pi\) |
0.835157 | + | 0.550012i | \(0.185377\pi\) | |||||||
\(542\) | −4.90708 | + | 1.83155i | −0.210777 | + | 0.0786716i | ||||
\(543\) | 11.3823 | − | 4.22607i | 0.488463 | − | 0.181358i | ||||
\(544\) | −24.9417 | + | 22.7265i | −1.06937 | + | 0.974392i | ||||
\(545\) | −4.50702 | + | 12.3829i | −0.193059 | + | 0.530427i | ||||
\(546\) | 2.65130 | + | 13.8500i | 0.113465 | + | 0.592727i | ||||
\(547\) | 32.1056 | − | 7.11765i | 1.37274 | − | 0.304329i | 0.532446 | − | 0.846464i | \(-0.321273\pi\) |
0.840291 | + | 0.542135i | \(0.182384\pi\) | |||||||
\(548\) | 13.7612 | + | 13.3189i | 0.587848 | + | 0.568954i | ||||
\(549\) | 3.54723 | − | 8.88590i | 0.151392 | − | 0.379241i | ||||
\(550\) | 2.14960 | + | 5.07205i | 0.0916594 | + | 0.216273i | ||||
\(551\) | −23.1641 | − | 10.8016i | −0.986825 | − | 0.460164i | ||||
\(552\) | 28.5279 | − | 4.65767i | 1.21423 | − | 0.198244i | ||||
\(553\) | 2.44115 | − | 27.9025i | 0.103808 | − | 1.18654i | ||||
\(554\) | 9.05165 | − | 42.4675i | 0.384568 | − | 1.80427i | ||||
\(555\) | 2.80014 | + | 3.60093i | 0.118859 | + | 0.152851i | ||||
\(556\) | −7.53030 | + | 4.07769i | −0.319356 | + | 0.172933i | ||||
\(557\) | −14.9614 | − | 11.4803i | −0.633937 | − | 0.486437i | 0.241095 | − | 0.970501i | \(-0.422493\pi\) |
−0.875032 | + | 0.484065i | \(0.839160\pi\) | |||||||
\(558\) | 30.3291 | + | 2.01121i | 1.28394 | + | 0.0851414i | ||||
\(559\) | 2.22003 | − | 3.84520i | 0.0938971 | − | 0.162635i | ||||
\(560\) | 40.8293 | + | 11.4217i | 1.72535 | + | 0.482653i | ||||
\(561\) | −9.08271 | − | 49.6385i | −0.383472 | − | 2.09574i | ||||
\(562\) | −2.90704 | + | 36.6745i | −0.122626 | + | 1.54702i | ||||
\(563\) | −14.2868 | + | 9.10169i | −0.602117 | + | 0.383591i | −0.802960 | − | 0.596033i | \(-0.796743\pi\) |
0.200843 | + | 0.979623i | \(0.435632\pi\) | |||||||
\(564\) | −3.39615 | + | 0.834481i | −0.143004 | + | 0.0351380i | ||||
\(565\) | 13.9027 | + | 26.7068i | 0.584891 | + | 1.12357i | ||||
\(566\) | 18.4827 | − | 14.4236i | 0.776886 | − | 0.606268i | ||||
\(567\) | 21.8803 | − | 33.0280i | 0.918885 | − | 1.38705i | ||||
\(568\) | 10.3905 | + | 9.89349i | 0.435976 | + | 0.415122i | ||||
\(569\) | −13.3809 | + | 1.17068i | −0.560958 | + | 0.0490775i | −0.364109 | − | 0.931356i | \(-0.618626\pi\) |
−0.196849 | + | 0.980434i | \(0.563071\pi\) | |||||||
\(570\) | −19.0520 | + | 17.9769i | −0.798000 | + | 0.752970i | ||||
\(571\) | −7.40718 | + | 33.4116i | −0.309981 | + | 1.39823i | 0.526471 | + | 0.850193i | \(0.323515\pi\) |
−0.836452 | + | 0.548040i | \(0.815374\pi\) | |||||||
\(572\) | −12.5433 | + | 2.42357i | −0.524461 | + | 0.101335i | ||||
\(573\) | −0.705668 | − | 1.09209i | −0.0294797 | − | 0.0456226i | ||||
\(574\) | −42.2254 | − | 34.8477i | −1.76245 | − | 1.45452i | ||||
\(575\) | 2.35279 | − | 4.07516i | 0.0981183 | − | 0.169946i | ||||
\(576\) | 0.609218 | − | 23.9923i | 0.0253841 | − | 0.999678i | ||||
\(577\) | 11.9477 | + | 20.6941i | 0.497390 | + | 0.861506i | 0.999995 | − | 0.00301061i | \(-0.000958307\pi\) |
−0.502605 | + | 0.864516i | \(0.667625\pi\) | |||||||
\(578\) | 4.35151 | − | 25.9143i | 0.180999 | − | 1.07789i | ||||
\(579\) | −4.82912 | + | 38.6009i | −0.200691 | + | 1.60420i | ||||
\(580\) | 9.05176 | − | 26.1927i | 0.375854 | − | 1.08759i | ||||
\(581\) | 56.0227 | − | 17.6639i | 2.32421 | − | 0.732822i | ||||
\(582\) | −10.2822 | + | 4.43608i | −0.426211 | + | 0.183882i | ||||
\(583\) | 20.9230 | − | 44.8696i | 0.866543 | − | 1.85831i | ||||
\(584\) | 13.6507 | + | 3.30155i | 0.564871 | + | 0.136619i | ||||
\(585\) | 2.32722 | − | 9.15558i | 0.0962187 | − | 0.378537i | ||||
\(586\) | −5.31085 | − | 37.9431i | −0.219389 | − | 1.56741i | ||||
\(587\) | 2.49803 | − | 3.92113i | 0.103105 | − | 0.161842i | −0.787948 | − | 0.615742i | \(-0.788856\pi\) |
0.891053 | + | 0.453900i | \(0.149968\pi\) | |||||||
\(588\) | 2.84530 | + | 42.7833i | 0.117338 | + | 1.76435i | ||||
\(589\) | −1.38793 | − | 31.7889i | −0.0571888 | − | 1.30984i | ||||
\(590\) | 40.1802 | − | 19.1373i | 1.65419 | − | 0.787870i | ||||
\(591\) | 14.3477 | − | 5.32708i | 0.590187 | − | 0.219127i | ||||
\(592\) | −0.0479937 | + | 4.37484i | −0.00197253 | + | 0.179805i | ||||
\(593\) | 14.1608 | 0.581514 | 0.290757 | − | 0.956797i | \(-0.406093\pi\) | ||||
0.290757 | + | 0.956797i | \(0.406093\pi\) | |||||||
\(594\) | 29.9559 | + | 19.7708i | 1.22910 | + | 0.811208i | ||||
\(595\) | −58.4111 | + | 24.1947i | −2.39462 | + | 0.991884i | ||||
\(596\) | 9.96002 | + | 6.11888i | 0.407978 | + | 0.250639i | ||||
\(597\) | −21.0360 | − | 13.2117i | −0.860946 | − | 0.540717i | ||||
\(598\) | 8.10558 | + | 7.30653i | 0.331462 | + | 0.298786i | ||||
\(599\) | −32.7266 | + | 15.2607i | −1.33717 | + | 0.623535i | −0.953907 | − | 0.300103i | \(-0.902979\pi\) |
−0.383268 | + | 0.923637i | \(0.625201\pi\) | |||||||
\(600\) | −2.96082 | − | 2.54916i | −0.120875 | − | 0.104069i | ||||
\(601\) | 22.4386 | − | 15.7117i | 0.915292 | − | 0.640894i | −0.0180680 | − | 0.999837i | \(-0.505752\pi\) |
0.933360 | + | 0.358943i | \(0.116863\pi\) | |||||||
\(602\) | 12.7292 | − | 16.8726i | 0.518804 | − | 0.687674i | ||||
\(603\) | −4.54686 | − | 8.46628i | −0.185162 | − | 0.344774i | ||||
\(604\) | 19.8572 | − | 5.66986i | 0.807977 | − | 0.230703i | ||||
\(605\) | −20.9132 | − | 22.8228i | −0.850242 | − | 0.927877i | ||||
\(606\) | −4.95789 | + | 8.88456i | −0.201400 | + | 0.360911i | ||||
\(607\) | 3.77619 | + | 4.50029i | 0.153271 | + | 0.182661i | 0.837216 | − | 0.546872i | \(-0.184182\pi\) |
−0.683945 | + | 0.729533i | \(0.739737\pi\) | |||||||
\(608\) | −25.0343 | + | 2.11950i | −1.01528 | + | 0.0859571i | ||||
\(609\) | 43.8764 | − | 0.282671i | 1.77796 | − | 0.0114544i | ||||
\(610\) | 1.79840 | − | 10.7099i | 0.0728152 | − | 0.433632i | ||||
\(611\) | −1.04745 | − | 0.803735i | −0.0423752 | − | 0.0325156i | ||||
\(612\) | 21.3758 | + | 28.7051i | 0.864066 | + | 1.16033i | ||||
\(613\) | 10.9447 | + | 14.2633i | 0.442050 | + | 0.576091i | 0.960240 | − | 0.279174i | \(-0.0900607\pi\) |
−0.518190 | + | 0.855265i | \(0.673394\pi\) | |||||||
\(614\) | −42.1754 | − | 12.9202i | −1.70206 | − | 0.521416i | ||||
\(615\) | 15.7138 | + | 33.1393i | 0.633643 | + | 1.33631i | ||||
\(616\) | −60.6722 | + | 4.14004i | −2.44455 | + | 0.166807i | ||||
\(617\) | 24.5917 | − | 35.1205i | 0.990023 | − | 1.41390i | 0.0812089 | − | 0.996697i | \(-0.474122\pi\) |
0.908814 | − | 0.417202i | \(-0.136989\pi\) | |||||||
\(618\) | 6.96219 | − | 3.75455i | 0.280060 | − | 0.151030i | ||||
\(619\) | −30.3335 | + | 15.7906i | −1.21921 | + | 0.634679i | −0.945025 | − | 0.326998i | \(-0.893963\pi\) |
−0.274183 | + | 0.961678i | \(0.588407\pi\) | |||||||
\(620\) | 34.1274 | − | 5.06125i | 1.37059 | − | 0.203265i | ||||
\(621\) | −1.92902 | − | 30.5983i | −0.0774091 | − | 1.22787i | ||||
\(622\) | −8.41327 | − | 30.4035i | −0.337342 | − | 1.21907i | ||||
\(623\) | −30.0104 | + | 35.7650i | −1.20234 | + | 1.43290i | ||||
\(624\) | 7.21320 | − | 5.48318i | 0.288759 | − | 0.219503i | ||||
\(625\) | 27.9208 | − | 4.92319i | 1.11683 | − | 0.196928i | ||||
\(626\) | 38.3109 | + | 3.03675i | 1.53121 | + | 0.121373i | ||||
\(627\) | 17.1342 | − | 33.4386i | 0.684272 | − | 1.33541i | ||||
\(628\) | 2.12556 | − | 2.01255i | 0.0848190 | − | 0.0803096i | ||||
\(629\) | −3.97176 | − | 5.17610i | −0.158364 | − | 0.206384i | ||||
\(630\) | 16.3304 | − | 41.8985i | 0.650619 | − | 1.66928i | ||||
\(631\) | 0.503283 | − | 1.87828i | 0.0200354 | − | 0.0747730i | −0.955184 | − | 0.296012i | \(-0.904343\pi\) |
0.975220 | + | 0.221239i | \(0.0710100\pi\) | |||||||
\(632\) | −16.7555 | + | 6.56763i | −0.666498 | + | 0.261246i | ||||
\(633\) | 30.4196 | + | 7.94122i | 1.20907 | + | 0.315635i | ||||
\(634\) | 23.8173 | − | 15.4481i | 0.945905 | − | 0.613524i | ||||
\(635\) | 7.26545 | + | 23.0431i | 0.288321 | + | 0.914436i | ||||
\(636\) | 0.799589 | + | 35.1037i | 0.0317058 | + | 1.39195i | ||||
\(637\) | −11.9347 | + | 10.9361i | −0.472870 | + | 0.433306i | ||||
\(638\) | 0.324593 | + | 39.7494i | 0.0128508 | + | 1.57369i | ||||
\(639\) | 11.5303 | − | 9.93104i | 0.456133 | − | 0.392866i | ||||
\(640\) | −5.09284 | − | 26.7609i | −0.201312 | − | 1.05782i | ||||
\(641\) | −22.2808 | − | 3.92870i | −0.880038 | − | 0.155175i | −0.284668 | − | 0.958626i | \(-0.591883\pi\) |
−0.595370 | + | 0.803452i | \(0.702995\pi\) | |||||||
\(642\) | 12.1385 | + | 4.21830i | 0.479070 | + | 0.166483i | ||||
\(643\) | 1.44322 | + | 33.0552i | 0.0569151 | + | 1.30357i | 0.785606 | + | 0.618727i | \(0.212351\pi\) |
−0.728691 | + | 0.684843i | \(0.759871\pi\) | |||||||
\(644\) | 34.0361 | + | 39.2429i | 1.34121 | + | 1.54638i | ||||
\(645\) | −12.5168 | + | 6.61864i | −0.492847 | + | 0.260609i | ||||
\(646\) | 27.4150 | − | 25.5362i | 1.07863 | − | 1.00471i | ||||
\(647\) | −10.6613 | − | 10.6613i | −0.419139 | − | 0.419139i | 0.465768 | − | 0.884907i | \(-0.345778\pi\) |
−0.884907 | + | 0.465768i | \(0.845778\pi\) | |||||||
\(648\) | −25.2596 | − | 3.15516i | −0.992289 | − | 0.123946i | ||||
\(649\) | −45.1396 | + | 45.1396i | −1.77189 | + | 1.77189i | ||||
\(650\) | 0.0523034 | − | 1.47407i | 0.00205151 | − | 0.0578178i | ||||
\(651\) | 25.5345 | + | 48.2892i | 1.00078 | + | 1.89260i | ||||
\(652\) | 21.7304 | + | 10.8649i | 0.851030 | + | 0.425500i | ||||
\(653\) | 3.49644 | − | 0.152658i | 0.136826 | − | 0.00597397i | 0.0248962 | − | 0.999690i | \(-0.492074\pi\) |
0.111930 | + | 0.993716i | \(0.464297\pi\) | |||||||
\(654\) | 5.84241 | + | 12.0657i | 0.228456 | + | 0.471807i | ||||
\(655\) | −9.23555 | + | 52.3774i | −0.360863 | + | 2.04656i | ||||
\(656\) | −7.99003 | + | 34.2578i | −0.311958 | + | 1.33754i | ||||
\(657\) | 4.91403 | − | 14.0624i | 0.191715 | − | 0.548625i | ||||
\(658\) | −4.48018 | − | 4.40761i | −0.174656 | − | 0.171826i | ||||
\(659\) | −24.4560 | − | 26.6890i | −0.952671 | − | 1.03966i | −0.999170 | − | 0.0407393i | \(-0.987029\pi\) |
0.0464991 | − | 0.998918i | \(-0.485194\pi\) | |||||||
\(660\) | 37.9834 | + | 14.7291i | 1.47850 | + | 0.573329i | ||||
\(661\) | 7.97612 | − | 2.51486i | 0.310235 | − | 0.0978167i | −0.141584 | − | 0.989926i | \(-0.545220\pi\) |
0.451819 | + | 0.892109i | \(0.350775\pi\) | |||||||
\(662\) | 20.1182 | + | 4.28805i | 0.781917 | + | 0.166660i | ||||
\(663\) | −3.41291 | + | 13.0735i | −0.132546 | + | 0.507731i | ||||
\(664\) | −26.1729 | − | 27.1942i | −1.01570 | − | 1.05534i | ||||
\(665\) | −45.4704 | − | 12.1837i | −1.76327 | − | 0.472465i | ||||
\(666\) | 4.61253 | + | 0.508730i | 0.178732 | + | 0.0197129i | ||||
\(667\) | 26.9383 | − | 20.6705i | 1.04306 | − | 0.800365i | ||||
\(668\) | −30.5406 | − | 13.6386i | −1.18165 | − | 0.527693i | ||||
\(669\) | −22.7065 | − | 11.6350i | −0.877884 | − | 0.449833i | ||||
\(670\) | −7.07940 | − | 8.29833i | −0.273501 | − | 0.320593i | ||||
\(671\) | 2.70496 | + | 15.3406i | 0.104424 | + | 0.592217i | ||||
\(672\) | 37.2736 | − | 21.7011i | 1.43786 | − | 0.837140i | ||||
\(673\) | −13.0418 | − | 10.9434i | −0.502725 | − | 0.421837i | 0.355835 | − | 0.934549i | \(-0.384196\pi\) |
−0.858561 | + | 0.512712i | \(0.828641\pi\) | |||||||
\(674\) | 7.13039 | + | 4.03946i | 0.274652 | + | 0.155594i | ||||
\(675\) | −3.00060 | + | 2.85817i | −0.115493 | + | 0.110011i | ||||
\(676\) | −21.9025 | − | 5.48701i | −0.842404 | − | 0.211039i | ||||
\(677\) | 13.9547 | + | 26.8067i | 0.536323 | + | 1.03027i | 0.990260 | + | 0.139233i | \(0.0444636\pi\) |
−0.453937 | + | 0.891034i | \(0.649981\pi\) | |||||||
\(678\) | 29.3439 | + | 8.78294i | 1.12694 | + | 0.337307i | ||||
\(679\) | −16.4852 | − | 11.5430i | −0.632643 | − | 0.442981i | ||||
\(680\) | 30.6138 | + | 26.7027i | 1.17398 | + | 1.02400i | ||||
\(681\) | 0.608935 | − | 0.288742i | 0.0233344 | − | 0.0110646i | ||||
\(682\) | −43.7077 | + | 23.2083i | −1.67365 | + | 0.888694i | ||||
\(683\) | −20.2869 | + | 15.5667i | −0.776258 | + | 0.595644i | −0.919065 | − | 0.394107i | \(-0.871054\pi\) |
0.142806 | + | 0.989751i | \(0.454387\pi\) | |||||||
\(684\) | −0.384167 | + | 26.6452i | −0.0146890 | + | 1.01880i | ||||
\(685\) | 14.0356 | − | 18.2915i | 0.536272 | − | 0.698883i | ||||
\(686\) | −27.2663 | + | 19.4258i | −1.04103 | + | 0.741681i | ||||
\(687\) | 0.145332 | + | 22.5585i | 0.00554475 | + | 0.860660i | ||||
\(688\) | −13.3473 | − | 2.50476i | −0.508861 | − | 0.0954931i | ||||
\(689\) | −10.1547 | + | 8.52081i | −0.386864 | + | 0.324617i | ||||
\(690\) | −9.49682 | − | 33.4785i | −0.361538 | − | 1.27451i | ||||
\(691\) | −25.1264 | + | 23.0241i | −0.955852 | + | 0.875877i | −0.992350 | − | 0.123457i | \(-0.960602\pi\) |
0.0364981 | + | 0.999334i | \(0.488380\pi\) | |||||||
\(692\) | 5.84631 | − | 50.8057i | 0.222243 | − | 1.93134i | ||||
\(693\) | −1.98303 | + | 64.4717i | −0.0753293 | + | 2.44908i | ||||
\(694\) | 6.54544 | − | 0.916159i | 0.248462 | − | 0.0347769i | ||||
\(695\) | 5.91332 | + | 8.44510i | 0.224305 | + | 0.320341i | ||||
\(696\) | −12.6994 | − | 25.1703i | −0.481369 | − | 0.954077i | ||||
\(697\) | −22.1696 | − | 47.5428i | −0.839733 | − | 1.80081i | ||||
\(698\) | −14.2785 | + | 0.740277i | −0.540451 | + | 0.0280199i | ||||
\(699\) | 3.05261 | − | 4.86045i | 0.115460 | − | 0.183839i | ||||
\(700\) | 1.10616 | − | 6.93365i | 0.0418088 | − | 0.262067i | ||||
\(701\) | −11.4284 | − | 27.5907i | −0.431646 | − | 1.04208i | −0.978757 | − | 0.205025i | \(-0.934273\pi\) |
0.547111 | − | 0.837060i | \(-0.315727\pi\) | |||||||
\(702\) | −5.03211 | − | 8.18751i | −0.189925 | − | 0.309018i | ||||
\(703\) | − | 4.85781i | − | 0.183216i | ||||||
\(704\) | 19.7183 | + | 33.7341i | 0.743162 | + | 1.27140i | ||||
\(705\) | 1.46545 | + | 3.94698i | 0.0551920 | + | 0.148652i | ||||
\(706\) | −1.85040 | + | 5.21607i | −0.0696407 | + | 0.196309i | ||||
\(707\) | −18.2670 | + | 0.797553i | −0.687000 | + | 0.0299951i | ||||
\(708\) | 14.5122 | − | 42.8865i | 0.545403 | − | 1.61177i | ||||
\(709\) | −12.2470 | − | 7.80220i | −0.459946 | − | 0.293018i | 0.286966 | − | 0.957941i | \(-0.407353\pi\) |
−0.746912 | + | 0.664923i | \(0.768464\pi\) | |||||||
\(710\) | 10.4027 | − | 13.7887i | 0.390406 | − | 0.517482i | ||||
\(711\) | 5.17758 | + | 18.3728i | 0.194175 | + | 0.689032i | ||||
\(712\) | 29.1577 | + | 7.05205i | 1.09273 | + | 0.264287i | ||||
\(713\) | 38.3114 | + | 17.8649i | 1.43477 | + | 0.669046i | ||||
\(714\) | −23.7429 | + | 59.7756i | −0.888556 | + | 2.23704i | ||||
\(715\) | 4.62491 | + | 14.6683i | 0.172962 | + | 0.548565i | ||||
\(716\) | −1.33891 | − | 22.3015i | −0.0500375 | − | 0.833446i | ||||
\(717\) | 33.7256 | + | 4.21921i | 1.25951 | + | 0.157569i | ||||
\(718\) | 0.269459 | − | 0.191975i | 0.0100561 | − | 0.00716446i | ||||
\(719\) | 41.5723 | − | 24.0018i | 1.55038 | − | 0.895115i | 0.552274 | − | 0.833663i | \(-0.313760\pi\) |
0.998110 | − | 0.0614519i | \(-0.0195731\pi\) | |||||||
\(720\) | −28.7788 | + | 2.57336i | −1.07252 | + | 0.0959033i | ||||
\(721\) | 12.3108 | + | 7.10763i | 0.458477 | + | 0.264702i | ||||
\(722\) | 1.02110 | − | 0.0977432i | 0.0380015 | − | 0.00363762i | ||||
\(723\) | −3.48582 | + | 2.25241i | −0.129639 | + | 0.0837682i | ||||
\(724\) | 2.81052 | − | 13.7353i | 0.104452 | − | 0.510467i | ||||
\(725\) | −4.48071 | − | 0.993351i | −0.166410 | − | 0.0368921i | ||||
\(726\) | −31.4781 | − | 0.913911i | −1.16826 | − | 0.0339184i | ||||
\(727\) | −2.59458 | − | 29.6562i | −0.0962276 | − | 1.09989i | −0.878756 | − | 0.477271i | \(-0.841626\pi\) |
0.782528 | − | 0.622615i | \(-0.213930\pi\) | |||||||
\(728\) | 15.1917 | + | 5.86089i | 0.563042 | + | 0.217219i | ||||
\(729\) | −5.97505 | + | 26.3306i | −0.221298 | + | 0.975206i | ||||
\(730\) | 2.06997 | − | 16.7808i | 0.0766131 | − | 0.621084i | ||||
\(731\) | 17.9633 | − | 9.35109i | 0.664396 | − | 0.345862i | ||||
\(732\) | −6.54125 | − | 8.90326i | −0.241772 | − | 0.329074i | ||||
\(733\) | −13.1299 | − | 20.6099i | −0.484966 | − | 0.761244i | 0.510137 | − | 0.860093i | \(-0.329595\pi\) |
−0.995102 | + | 0.0988497i | \(0.968484\pi\) | |||||||
\(734\) | 24.7140 | − | 21.0838i | 0.912210 | − | 0.778216i | ||||
\(735\) | 50.7776 | − | 9.29114i | 1.87296 | − | 0.342709i | ||||
\(736\) | 12.8594 | − | 30.8007i | 0.474002 | − | 1.13533i | ||||
\(737\) | 13.5498 | + | 7.82300i | 0.499114 | + | 0.288164i | ||||
\(738\) | 35.3218 | + | 12.0203i | 1.30021 | + | 0.442474i | ||||
\(739\) | 19.4495 | − | 25.3471i | 0.715463 | − | 0.932409i | −0.284190 | − | 0.958768i | \(-0.591725\pi\) |
0.999653 | + | 0.0263589i | \(0.00839126\pi\) | |||||||
\(740\) | 5.23895 | − | 0.544696i | 0.192588 | − | 0.0200234i | ||||
\(741\) | −7.94177 | + | 6.17563i | −0.291748 | + | 0.226867i | ||||
\(742\) | −52.9408 | + | 34.3380i | −1.94352 | + | 1.26059i | ||||
\(743\) | −30.1129 | − | 2.63454i | −1.10474 | − | 0.0966519i | −0.479837 | − | 0.877358i | \(-0.659304\pi\) |
−0.624899 | + | 0.780706i | \(0.714860\pi\) | |||||||
\(744\) | 20.4947 | − | 28.4928i | 0.751372 | − | 1.04459i | ||||
\(745\) | 5.94747 | − | 12.7544i | 0.217898 | − | 0.467285i | ||||
\(746\) | 3.09221 | + | 1.25135i | 0.113214 | + | 0.0458152i | ||||
\(747\) | −31.4434 | + | 24.7775i | −1.15045 | + | 0.906561i | ||||
\(748\) | −54.1907 | − | 21.4165i | −1.98141 | − | 0.783066i | ||||
\(749\) | 4.99846 | + | 22.5466i | 0.182640 | + | 0.823835i | ||||
\(750\) | 13.9184 | − | 20.5088i | 0.508230 | − | 0.748877i | ||||
\(751\) | −44.3067 | − | 16.1263i | −1.61678 | − | 0.588458i | −0.634012 | − | 0.773323i | \(-0.718593\pi\) |
−0.982764 | + | 0.184865i | \(0.940815\pi\) | |||||||
\(752\) | −1.25648 | + | 3.83774i | −0.0458191 | + | 0.139948i | ||||
\(753\) | −1.16468 | − | 3.13690i | −0.0424432 | − | 0.114315i | ||||
\(754\) | 4.41919 | − | 9.68264i | 0.160938 | − | 0.352621i | ||||
\(755\) | −9.51409 | − | 22.9690i | −0.346253 | − | 0.835929i | ||||
\(756\) | −19.0023 | − | 41.6138i | −0.691108 | − | 1.51348i | ||||
\(757\) | −0.102334 | − | 0.0423881i | −0.00371939 | − | 0.00154062i | 0.380823 | − | 0.924648i | \(-0.375641\pi\) |
−0.384542 | + | 0.923107i | \(0.625641\pi\) | |||||||
\(758\) | 10.8564 | + | 0.385210i | 0.394322 | + | 0.0139915i | ||||
\(759\) | 28.8934 | + | 40.7034i | 1.04876 | + | 1.47744i | ||||
\(760\) | 5.98035 | + | 29.6496i | 0.216930 | + | 1.07550i | ||||
\(761\) | −42.6263 | + | 19.8770i | −1.54520 | + | 0.720540i | −0.993535 | − | 0.113524i | \(-0.963786\pi\) |
−0.551668 | + | 0.834064i | \(0.686008\pi\) | |||||||
\(762\) | 21.9659 | + | 11.0299i | 0.795739 | + | 0.399572i | ||||
\(763\) | −12.9445 | + | 20.3188i | −0.468622 | + | 0.735589i | ||||
\(764\) | −1.50119 | + | 0.0245190i | −0.0543110 | + | 0.000887067i | ||||
\(765\) | 31.3896 | − | 29.5163i | 1.13489 | − | 1.06716i | ||||
\(766\) | 41.9775 | − | 0.342789i | 1.51671 | − | 0.0123855i | ||||
\(767\) | 16.0619 | − | 5.84604i | 0.579961 | − | 0.211088i | ||||
\(768\) | −23.1392 | − | 15.2505i | −0.834964 | − | 0.550305i | ||||
\(769\) | 26.3951 | − | 22.1481i | 0.951833 | − | 0.798683i | −0.0277725 | − | 0.999614i | \(-0.508841\pi\) |
0.979605 | + | 0.200932i | \(0.0643969\pi\) | |||||||
\(770\) | 13.3017 | + | 71.9947i | 0.479359 | + | 2.59451i | ||||
\(771\) | −14.5100 | − | 34.4016i | −0.522564 | − | 1.23894i | ||||
\(772\) | 34.8776 | + | 28.3081i | 1.25527 | + | 1.01883i | ||||
\(773\) | 1.08339 | + | 8.22920i | 0.0389670 | + | 0.295984i | 0.999821 | + | 0.0189280i | \(0.00602534\pi\) |
−0.960854 | + | 0.277056i | \(0.910641\pi\) | |||||||
\(774\) | −4.04127 | + | 13.8255i | −0.145260 | + | 0.496949i | ||||
\(775\) | −1.47880 | − | 5.51897i | −0.0531202 | − | 0.198247i | ||||
\(776\) | −1.93279 | + | 12.7854i | −0.0693832 | + | 0.458970i | ||||
\(777\) | 3.57305 | + | 7.53530i | 0.128182 | + | 0.270327i | ||||
\(778\) | −35.4839 | + | 11.5074i | −1.27216 | + | 0.412561i | ||||
\(779\) | 8.45378 | − | 38.1325i | 0.302888 | − | 1.36624i | ||||
\(780\) | −7.55066 | − | 7.87242i | −0.270357 | − | 0.281878i | ||||
\(781\) | −7.45019 | + | 23.6290i | −0.266589 | + | 0.845511i | ||||
\(782\) | 13.2745 | + | 47.9707i | 0.474695 | + | 1.71543i | ||||
\(783\) | −27.8964 | + | 10.7684i | −0.996937 | + | 0.384833i | ||||
\(784\) | 43.6634 | + | 23.3420i | 1.55941 | + | 0.833643i | ||||
\(785\) | −2.69956 | − | 2.26520i | −0.0963516 | − | 0.0808486i | ||||
\(786\) | 31.6782 | + | 43.8632i | 1.12992 | + | 1.56455i | ||||
\(787\) | 22.0517 | + | 34.6142i | 0.786058 | + | 1.23386i | 0.968098 | + | 0.250572i | \(0.0806187\pi\) |
−0.182040 | + | 0.983291i | \(0.558270\pi\) | |||||||
\(788\) | 3.54273 | − | 17.3137i | 0.126205 | − | 0.616774i | ||||
\(789\) | −7.50633 | + | 2.42001i | −0.267232 | + | 0.0861547i | ||||
\(790\) | 10.1609 | + | 19.1358i | 0.361510 | + | 0.680823i | ||||
\(791\) | 14.2469 | + | 53.1702i | 0.506562 | + | 1.89051i | ||||
\(792\) | 37.6703 | − | 17.2801i | 1.33856 | − | 0.614022i | ||||
\(793\) | 1.07950 | − | 4.02876i | 0.0383343 | − | 0.143066i | ||||
\(794\) | 2.30508 | − | 0.530808i | 0.0818042 | − | 0.0188377i | ||||
\(795\) | 41.8742 | − | 5.78753i | 1.48513 | − | 0.205263i | ||||
\(796\) | −25.7947 | + | 12.5451i | −0.914269 | + | 0.444650i | ||||
\(797\) | 5.96239 | + | 3.10383i | 0.211199 | + | 0.109943i | 0.564064 | − | 0.825731i | \(-0.309237\pi\) |
−0.352865 | + | 0.935674i | \(0.614793\pi\) | |||||||
\(798\) | −41.1192 | + | 24.5480i | −1.45561 | + | 0.868989i | ||||
\(799\) | −2.05961 | − | 5.65874i | −0.0728639 | − | 0.200192i | ||||
\(800\) | −4.30640 | + | 1.34454i | −0.152254 | + | 0.0475366i | ||||
\(801\) | 10.4963 | − | 30.0370i | 0.370868 | − | 1.06130i | ||||
\(802\) | 0.00501586 | + | 0.00852617i | 0.000177116 | + | 0.000301070i | ||||
\(803\) | 5.24920 | + | 23.6776i | 0.185240 | + | 0.835565i | ||||
\(804\) | −11.0736 | − | 0.715155i | −0.390535 | − | 0.0252216i | ||||
\(805\) | 42.2505 | − | 46.1083i | 1.48913 | − | 1.62511i | ||||
\(806\) | 13.2327 | − | 0.686054i | 0.466101 | − | 0.0241652i | ||||
\(807\) | −12.9383 | + | 1.21600i | −0.455450 | + | 0.0428051i | ||||
\(808\) | 5.67837 | + | 10.2848i | 0.199764 | + | 0.361819i | ||||
\(809\) | 9.08565 | + | 9.08565i | 0.319434 | + | 0.319434i | 0.848550 | − | 0.529115i | \(-0.177476\pi\) |
−0.529115 | + | 0.848550i | \(0.677476\pi\) | |||||||
\(810\) | −0.297203 | + | 30.6449i | −0.0104427 | + | 1.07675i | ||||
\(811\) | 7.02378 | − | 16.9569i | 0.246638 | − | 0.595438i | −0.751276 | − | 0.659988i | \(-0.770561\pi\) |
0.997914 | + | 0.0645504i | \(0.0205613\pi\) | |||||||
\(812\) | 26.5209 | − | 43.1695i | 0.930702 | − | 1.51495i | ||||
\(813\) | 6.13030 | + | 1.88954i | 0.214999 | + | 0.0662692i | ||||
\(814\) | −6.82102 | + | 3.24876i | −0.239077 | + | 0.113869i | ||||
\(815\) | 10.0038 | − | 27.4851i | 0.350416 | − | 0.962761i | ||||
\(816\) | 41.1851 | − | 3.41540i | 1.44177 | − | 0.119563i | ||||
\(817\) | 14.8495 | + | 2.61837i | 0.519519 | + | 0.0916053i | ||||
\(818\) | 12.3310 | − | 47.5703i | 0.431143 | − | 1.66326i | ||||
\(819\) | 7.77672 | − | 15.4208i | 0.271740 | − | 0.538848i | ||||
\(820\) | 42.0723 | + | 4.84134i | 1.46923 | + | 0.169067i | ||||
\(821\) | −1.93969 | + | 44.4263i | −0.0676957 | + | 1.55049i | 0.596307 | + | 0.802757i | \(0.296634\pi\) |
−0.664003 | + | 0.747730i | \(0.731144\pi\) | |||||||
\(822\) | −3.40088 | − | 23.2073i | −0.118619 | − | 0.809447i | ||||
\(823\) | 45.7788 | + | 4.00513i | 1.59575 | + | 0.139610i | 0.850061 | − | 0.526684i | \(-0.176565\pi\) |
0.745689 | + | 0.666294i | \(0.232120\pi\) | |||||||
\(824\) | 0.572938 | − | 9.11574i | 0.0199593 | − | 0.317562i | ||||
\(825\) | 1.70419 | − | 6.52806i | 0.0593322 | − | 0.227278i | ||||
\(826\) | 79.2899 | − | 18.2587i | 2.75885 | − | 0.635301i | ||||
\(827\) | −33.3630 | + | 4.39232i | −1.16015 | + | 0.152736i | −0.685927 | − | 0.727671i | \(-0.740603\pi\) |
−0.474219 | + | 0.880407i | \(0.657270\pi\) | |||||||
\(828\) | −31.1630 | − | 16.7978i | −1.08299 | − | 0.583764i | ||||
\(829\) | 6.10341 | − | 46.3600i | 0.211980 | − | 1.61015i | −0.472644 | − | 0.881253i | \(-0.656700\pi\) |
0.684624 | − | 0.728896i | \(-0.259966\pi\) | |||||||
\(830\) | −28.9224 | + | 35.0456i | −1.00391 | + | 1.21645i | ||||
\(831\) | −40.5173 | + | 34.4453i | −1.40553 | + | 1.19489i | ||||
\(832\) | −0.967722 | − | 10.4175i | −0.0335497 | − | 0.361162i | ||||
\(833\) | −72.7111 | + | 12.8209i | −2.51929 | + | 0.444219i | ||||
\(834\) | 10.3542 | + | 1.67016i | 0.358537 | + | 0.0578329i | ||||
\(835\) | −12.1087 | + | 38.4038i | −0.419038 | + | 1.32902i | ||||
\(836\) | −22.3034 | − | 37.2136i | −0.771380 | − | 1.28706i | ||||
\(837\) | −27.9276 | − | 24.6151i | −0.965318 | − | 0.850822i | ||||
\(838\) | −4.53540 | + | 36.7674i | −0.156673 | + | 1.27011i | ||||
\(839\) | 3.74535 | + | 42.8095i | 0.129304 | + | 1.47795i | 0.732724 | + | 0.680526i | \(0.238248\pi\) |
−0.603421 | + | 0.797423i | \(0.706196\pi\) | |||||||
\(840\) | −31.0846 | − | 41.5929i | −1.07252 | − | 1.43509i | ||||
\(841\) | −3.37276 | − | 2.36163i | −0.116302 | − | 0.0814357i | ||||
\(842\) | 1.50466 | + | 4.63973i | 0.0518541 | + | 0.159896i | ||||
\(843\) | 30.2260 | − | 33.4155i | 1.04104 | − | 1.15089i | ||||
\(844\) | 26.3611 | − | 24.9596i | 0.907386 | − | 0.859145i | ||||
\(845\) | −3.54813 | + | 26.9508i | −0.122060 | + | 0.927134i | ||||
\(846\) | 3.91909 | + | 1.72803i | 0.134741 | + | 0.0594107i | ||||
\(847\) | −28.2968 | − | 49.0116i | −0.972291 | − | 1.68406i | ||||
\(848\) | 34.8883 | + | 20.6563i | 1.19807 | + | 0.709341i | ||||
\(849\) | −28.7131 | + | 0.184982i | −0.985430 | + | 0.00634858i | ||||
\(850\) | 3.81366 | − | 5.54225i | 0.130808 | − | 0.190098i | ||||
\(851\) | 5.72444 | + | 2.97996i | 0.196231 | + | 0.102152i | ||||
\(852\) | −2.68970 | − | 17.3646i | −0.0921475 | − | 0.594903i | ||||
\(853\) | 7.07259 | + | 0.308796i | 0.242161 | + | 0.0105730i | 0.164378 | − | 0.986397i | \(-0.447438\pi\) |
0.0777826 | + | 0.996970i | \(0.475216\pi\) | |||||||
\(854\) | 7.44789 | − | 18.4045i | 0.254862 | − | 0.629787i | ||||
\(855\) | 31.9207 | − | 3.20763i | 1.09167 | − | 0.109699i | ||||
\(856\) | 11.5475 | − | 9.31882i | 0.394684 | − | 0.318511i | ||||
\(857\) | −6.09481 | − | 8.70429i | −0.208195 | − | 0.297333i | 0.701451 | − | 0.712718i | \(-0.252536\pi\) |
−0.909646 | + | 0.415385i | \(0.863647\pi\) | |||||||
\(858\) | 13.9826 | + | 7.02123i | 0.477359 | + | 0.239701i | ||||
\(859\) | 5.46424 | + | 5.00706i | 0.186438 | + | 0.170839i | 0.763387 | − | 0.645941i | \(-0.223535\pi\) |
−0.576950 | + | 0.816780i | \(0.695757\pi\) | |||||||
\(860\) | −1.15876 | + | 16.3082i | −0.0395135 | + | 0.556106i | ||||
\(861\) | 14.9342 | + | 65.3681i | 0.508957 | + | 2.22774i | ||||
\(862\) | 6.49052 | + | 17.3894i | 0.221068 | + | 0.592285i | ||||
\(863\) | 30.1955 | 1.02787 | 0.513933 | − | 0.857830i | \(-0.328188\pi\) | ||||
0.513933 | + | 0.857830i | \(0.328188\pi\) | |||||||
\(864\) | −18.5194 | + | 22.8261i | −0.630043 | + | 0.776560i | ||||
\(865\) | −61.5686 | −2.09340 | ||||||||
\(866\) | −1.92816 | − | 5.16592i | −0.0655215 | − | 0.175545i | ||||
\(867\) | −23.5871 | + | 21.8948i | −0.801058 | + | 0.743585i | ||||
\(868\) | 62.9165 | + | 4.47047i | 2.13553 | + | 0.151738i | ||||
\(869\) | −22.9129 | − | 20.9958i | −0.777267 | − | 0.712234i | ||||
\(870\) | −28.3561 | + | 18.6527i | −0.961362 | + | 0.632385i | ||||
\(871\) | −2.40288 | − | 3.43167i | −0.0814184 | − | 0.116278i | ||||
\(872\) | 15.3921 | + | 1.64397i | 0.521243 | + | 0.0556717i | ||||
\(873\) | 13.2924 | + | 3.37874i | 0.449879 | + | 0.114353i | ||||
\(874\) | −13.9021 | + | 34.3535i | −0.470246 | + | 1.16202i | ||||
\(875\) | 44.5005 | + | 1.94294i | 1.50439 | + | 0.0656832i | ||||
\(876\) | −10.7791 | − | 13.4042i | −0.364194 | − | 0.452887i | ||||
\(877\) | −40.7338 | − | 21.2047i | −1.37548 | − | 0.716031i | −0.396131 | − | 0.918194i | \(-0.629647\pi\) |
−0.979352 | + | 0.202163i | \(0.935203\pi\) | |||||||
\(878\) | 2.19146 | − | 3.18477i | 0.0739583 | − | 0.107481i | ||||
\(879\) | −23.1995 | + | 40.7873i | −0.782500 | + | 1.37572i | ||||
\(880\) | 37.6325 | − | 28.2260i | 1.26859 | − | 0.951499i | ||||
\(881\) | 1.46617 | + | 2.53949i | 0.0493966 | + | 0.0855575i | 0.889667 | − | 0.456611i | \(-0.150937\pi\) |
−0.840270 | + | 0.542168i | \(0.817604\pi\) | |||||||
\(882\) | 29.2088 | − | 43.6417i | 0.983513 | − | 1.46949i | ||||
\(883\) | 0.911248 | − | 6.92162i | 0.0306659 | − | 0.232931i | −0.969248 | − | 0.246088i | \(-0.920855\pi\) |
0.999913 | + | 0.0131570i | \(0.00418813\pi\) | |||||||
\(884\) | 10.7269 | + | 11.3292i | 0.360785 | + | 0.381043i | ||||
\(885\) | −53.2899 | − | 11.4544i | −1.79132 | − | 0.385036i | ||||
\(886\) | −3.98995 | − | 12.3033i | −0.134045 | − | 0.413336i | ||||
\(887\) | 38.1182 | + | 26.6906i | 1.27988 | + | 0.896183i | 0.997997 | − | 0.0632648i | \(-0.0201513\pi\) |
0.281885 | + | 0.959448i | \(0.409040\pi\) | |||||||
\(888\) | 3.31567 | − | 4.20935i | 0.111267 | − | 0.141256i | ||||
\(889\) | 3.84988 | + | 44.0044i | 0.129121 | + | 1.47586i | ||||
\(890\) | 4.42143 | − | 35.8434i | 0.148207 | − | 1.20147i | ||||
\(891\) | −14.2945 | − | 41.5696i | −0.478883 | − | 1.39263i | ||||
\(892\) | −25.2699 | + | 15.1451i | −0.846099 | + | 0.507097i | ||||
\(893\) | 1.34828 | − | 4.27620i | 0.0451185 | − | 0.143098i | ||||
\(894\) | −5.09255 | − | 13.3802i | −0.170320 | − | 0.447501i | ||||
\(895\) | −26.4885 | + | 4.67064i | −0.885414 | + | 0.156122i | ||||
\(896\) | 1.49913 | − | 49.7806i | 0.0500825 | − | 1.66305i | ||||
\(897\) | −2.40559 | − | 13.1469i | −0.0803203 | − | 0.438963i | ||||
\(898\) | −4.97894 | + | 6.03305i | −0.166150 | + | 0.201325i | ||||
\(899\) | 5.38149 | − | 40.8765i | 0.179483 | − | 1.36331i | ||||
\(900\) | 0.968225 | + | 4.68610i | 0.0322742 | + | 0.156203i | ||||
\(901\) | −59.9446 | + | 7.89186i | −1.99705 | + | 0.262916i | ||||
\(902\) | −59.1969 | + | 13.6317i | −1.97104 | + | 0.453886i | ||||
\(903\) | −24.9601 | + | 6.86068i | −0.830619 | + | 0.228309i | ||||
\(904\) | 26.5289 | − | 23.3913i | 0.882338 | − | 0.777984i | ||||
\(905\) | −16.8143 | − | 1.47106i | −0.558926 | − | 0.0488997i | ||||
\(906\) | −23.5056 | − | 9.33644i | −0.780921 | − | 0.310182i | ||||
\(907\) | 1.30232 | − | 29.8281i | 0.0432429 | − | 0.990425i | −0.846055 | − | 0.533096i | \(-0.821028\pi\) |
0.889298 | − | 0.457329i | \(-0.151194\pi\) | |||||||
\(908\) | 0.0889597 | − | 0.773079i | 0.00295223 | − | 0.0256555i | ||||
\(909\) | 11.4500 | − | 4.91651i | 0.379772 | − | 0.163070i | ||||
\(910\) | 4.91889 | − | 18.9760i | 0.163060 | − | 0.629049i | ||||
\(911\) | 4.99752 | + | 0.881197i | 0.165575 | + | 0.0291954i | 0.255821 | − | 0.966724i | \(-0.417654\pi\) |
−0.0902459 | + | 0.995920i | \(0.528765\pi\) | |||||||
\(912\) | 25.8763 | + | 16.6502i | 0.856852 | + | 0.551344i | ||||
\(913\) | 22.2918 | − | 61.2464i | 0.737753 | − | 2.02696i | ||||
\(914\) | −32.8661 | + | 15.6537i | −1.08711 | + | 0.517779i | ||||
\(915\) | −9.74812 | + | 9.04873i | −0.322263 | + | 0.299142i | ||||
\(916\) | 22.1950 | + | 13.6354i | 0.733344 | + | 0.450526i | ||||
\(917\) | −37.2103 | + | 89.8336i | −1.22879 | + | 2.96657i | ||||
\(918\) | 0.707454 | − | 43.8276i | 0.0233495 | − | 1.44653i | ||||
\(919\) | −25.5326 | − | 25.5326i | −0.842243 | − | 0.842243i | 0.146907 | − | 0.989150i | \(-0.453068\pi\) |
−0.989150 | + | 0.146907i | \(0.953068\pi\) | |||||||
\(920\) | −38.6077 | − | 11.1409i | −1.27286 | − | 0.367304i | ||||
\(921\) | 31.2711 | + | 44.0529i | 1.03042 | + | 1.45159i | ||||
\(922\) | −1.72500 | + | 0.0894331i | −0.0568097 | + | 0.00294532i | ||||
\(923\) | 4.48173 | − | 4.89095i | 0.147518 | − | 0.160988i | ||||
\(924\) | 61.9680 | + | 41.3200i | 2.03860 | + | 1.35933i | ||||
\(925\) | −0.188800 | − | 0.851623i | −0.00620772 | − | 0.0280012i | ||||
\(926\) | 10.5312 | + | 17.9014i | 0.346077 | + | 0.588277i | ||||
\(927\) | −9.56148 | − | 1.55920i | −0.314040 | − | 0.0512109i | ||||
\(928\) | −32.4219 | − | 2.92819i | −1.06430 | − | 0.0961224i | ||||
\(929\) | −15.0193 | − | 41.2653i | −0.492769 | − | 1.35387i | −0.898136 | − | 0.439717i | \(-0.855079\pi\) |
0.405368 | − | 0.914154i | \(-0.367144\pi\) | |||||||
\(930\) | −36.8982 | − | 20.5905i | −1.20994 | − | 0.675188i | ||||
\(931\) | −48.7621 | − | 25.3840i | −1.59811 | − | 0.831926i | ||||
\(932\) | −2.89860 | − | 5.95998i | −0.0949469 | − | 0.195226i | ||||
\(933\) | −14.5551 | + | 35.7894i | −0.476511 | + | 1.17169i | ||||
\(934\) | −51.3717 | + | 11.8298i | −1.68093 | + | 0.387081i | ||||
\(935\) | −18.1562 | + | 67.7600i | −0.593773 | + | 2.21599i | ||||
\(936\) | −11.0968 | − | 0.0693675i | −0.362709 | − | 0.00226735i | ||||
\(937\) | 4.61286 | + | 17.2154i | 0.150696 | + | 0.562403i | 0.999436 | + | 0.0335931i | \(0.0106950\pi\) |
−0.848740 | + | 0.528810i | \(0.822638\pi\) | |||||||
\(938\) | −9.35232 | − | 17.6130i | −0.305364 | − | 0.575084i | ||||
\(939\) | −34.9065 | − | 31.5746i | −1.13913 | − | 1.03040i | ||||
\(940\) | 4.76289 | + | 0.974586i | 0.155348 | + | 0.0317875i | ||||
\(941\) | 22.1497 | + | 34.7681i | 0.722060 | + | 1.13341i | 0.985655 | + | 0.168774i | \(0.0539808\pi\) |
−0.263595 | + | 0.964634i | \(0.584908\pi\) | |||||||
\(942\) | −3.56646 | + | 0.364594i | −0.116201 | + | 0.0118791i | ||||
\(943\) | 39.7495 | + | 33.3538i | 1.29442 | + | 1.08615i | ||||
\(944\) | −33.1633 | − | 40.4146i | −1.07937 | − | 1.31538i | ||||
\(945\) | −47.1552 | + | 28.4541i | −1.53396 | + | 0.925613i | ||||
\(946\) | −6.25440 | − | 22.6018i | −0.203348 | − | 0.734849i | ||||
\(947\) | −4.63372 | + | 14.6963i | −0.150576 | + | 0.477565i | −0.998629 | − | 0.0523457i | \(-0.983330\pi\) |
0.848053 | + | 0.529911i | \(0.177775\pi\) | |||||||
\(948\) | 21.1667 | + | 6.14755i | 0.687462 | + | 0.199663i | ||||
\(949\) | 1.40550 | − | 6.33980i | 0.0456244 | − | 0.205799i | ||||
\(950\) | 4.76486 | − | 1.54524i | 0.154593 | − | 0.0501343i | ||||
\(951\) | −34.6552 | − | 2.80709i | −1.12377 | − | 0.0910262i | ||||
\(952\) | 44.0760 | + | 59.7754i | 1.42851 | + | 1.93733i | ||||
\(953\) | −4.95872 | − | 18.5062i | −0.160629 | − | 0.599474i | −0.998557 | − | 0.0536945i | \(-0.982900\pi\) |
0.837929 | − | 0.545779i | \(-0.183766\pi\) | |||||||
\(954\) | 25.4554 | − | 34.6610i | 0.824147 | − | 1.12219i | ||||
\(955\) | 0.235929 | + | 1.79206i | 0.00763448 | + | 0.0579896i | ||||
\(956\) | 24.7329 | − | 30.4726i | 0.799918 | − | 0.985554i | ||||
\(957\) | 29.3878 | − | 38.8141i | 0.949972 | − | 1.25468i | ||||
\(958\) | 7.70165 | + | 41.6849i | 0.248829 | + | 1.34678i | ||||
\(959\) | 32.2900 | − | 27.0945i | 1.04270 | − | 0.874928i | ||||
\(960\) | −15.0552 | + | 29.7736i | −0.485903 | + | 0.960937i | ||||
\(961\) | 19.1020 | − | 6.95255i | 0.616193 | − | 0.224276i | ||||
\(962\) | 2.02287 | − | 0.0165188i | 0.0652199 | − | 0.000532586i | ||||
\(963\) | −8.62673 | − | 13.1638i | −0.277992 | − | 0.424199i | ||||
\(964\) | 0.0782620 | + | 4.79162i | 0.00252065 | + | 0.154328i | ||||
\(965\) | 29.0567 | − | 45.6098i | 0.935367 | − | 1.46823i | ||||
\(966\) | −3.70331 | − | 63.5135i | −0.119152 | − | 2.04351i | ||||
\(967\) | −35.0633 | + | 16.3503i | −1.12756 | + | 0.525789i | −0.894676 | − | 0.446716i | \(-0.852594\pi\) |
−0.232882 | + | 0.972505i | \(0.574816\pi\) | |||||||
\(968\) | −20.1211 | + | 30.2889i | −0.646718 | + | 0.973522i | ||||
\(969\) | −45.6847 | + | 4.29363i | −1.46760 | + | 0.137931i | ||||
\(970\) | 15.5575 | + | 0.552016i | 0.499521 | + | 0.0177242i | ||||
\(971\) | 3.64680 | + | 1.51055i | 0.117031 | + | 0.0484760i | 0.440431 | − | 0.897787i | \(-0.354826\pi\) |
−0.323399 | + | 0.946263i | \(0.604826\pi\) | |||||||
\(972\) | 22.1534 | + | 21.9369i | 0.710570 | + | 0.703626i | ||||
\(973\) | 7.21292 | + | 17.4135i | 0.231235 | + | 0.558252i | ||||
\(974\) | 22.0982 | − | 48.4181i | 0.708071 | − | 1.55141i | ||||
\(975\) | −1.15225 | + | 1.39131i | −0.0369017 | + | 0.0445576i | ||||
\(976\) | −12.7199 | + | 0.972371i | −0.407154 | + | 0.0311248i | ||||
\(977\) | 9.80488 | + | 3.56868i | 0.313686 | + | 0.114172i | 0.494065 | − | 0.869425i | \(-0.335510\pi\) |
−0.180379 | + | 0.983597i | \(0.557733\pi\) | |||||||
\(978\) | −12.9678 | − | 26.7810i | −0.414664 | − | 0.856362i | ||||
\(979\) | 11.2122 | + | 50.5750i | 0.358344 | + | 1.61638i | ||||
\(980\) | 21.9080 | − | 55.4343i | 0.699825 | − | 1.77078i | ||||
\(981\) | 3.34683 | − | 16.0739i | 0.106856 | − | 0.513201i | ||||
\(982\) | −33.8549 | − | 13.7003i | −1.08035 | − | 0.437196i | ||||
\(983\) | −12.1487 | + | 26.0530i | −0.387484 | + | 0.830961i | 0.611721 | + | 0.791074i | \(0.290478\pi\) |
−0.999204 | + | 0.0398874i | \(0.987300\pi\) | |||||||
\(984\) | 33.3525 | − | 27.2722i | 1.06324 | − | 0.869405i | ||||
\(985\) | −21.1949 | − | 1.85431i | −0.675325 | − | 0.0590833i | ||||
\(986\) | 40.7286 | − | 26.4170i | 1.29706 | − | 0.841289i | ||||
\(987\) | 1.05384 | + | 7.62482i | 0.0335442 | + | 0.242701i | ||||
\(988\) | 1.20131 | + | 11.5544i | 0.0382188 | + | 0.367594i | ||||
\(989\) | −12.1947 | + | 15.8925i | −0.387770 | + | 0.505352i | ||||
\(990\) | −25.8516 | − | 42.6758i | −0.821618 | − | 1.35633i | ||||
\(991\) | −13.9756 | − | 8.06881i | −0.443949 | − | 0.256314i | 0.261322 | − | 0.965252i | \(-0.415842\pi\) |
−0.705271 | + | 0.708937i | \(0.749175\pi\) | |||||||
\(992\) | −15.4042 | − | 37.4860i | −0.489084 | − | 1.19018i | ||||
\(993\) | −16.3178 | − | 19.1944i | −0.517831 | − | 0.609114i | ||||
\(994\) | 24.0239 | − | 20.4951i | 0.761992 | − | 0.650064i | ||||
\(995\) | 18.5541 | + | 29.1242i | 0.588206 | + | 0.923298i | ||||
\(996\) | 5.07644 | + | 45.9461i | 0.160853 | + | 1.45586i | ||||
\(997\) | 10.0932 | − | 5.25418i | 0.319654 | − | 0.166401i | −0.294364 | − | 0.955693i | \(-0.595108\pi\) |
0.614018 | + | 0.789292i | \(0.289552\pi\) | |||||||
\(998\) | −2.58761 | + | 20.9771i | −0.0819094 | + | 0.664020i | ||||
\(999\) | −4.09570 | − | 3.94037i | −0.129582 | − | 0.124668i |
(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 | 864.2.bt.a.11.17 | ✓ | 3408 | |
27.5 | odd | 18 | inner | 864.2.bt.a.491.63 | yes | 3408 | |
32.3 | odd | 8 | inner | 864.2.bt.a.227.63 | yes | 3408 | |
864.707 | even | 72 | inner | 864.2.bt.a.707.17 | yes | 3408 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.bt.a.11.17 | ✓ | 3408 | 1.1 | even | 1 | trivial | |
864.2.bt.a.227.63 | yes | 3408 | 32.3 | odd | 8 | inner | |
864.2.bt.a.491.63 | yes | 3408 | 27.5 | odd | 18 | inner | |
864.2.bt.a.707.17 | yes | 3408 | 864.707 | even | 72 | inner |