Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(9,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bk (of order \(15\), degree \(8\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(280\) |
Relative dimension: | \(35\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 9.10 | ||
Character | \(\chi\) | \(=\) | 403.9 |
Dual form | 403.2.bk.a.224.10 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{15}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.769629 | − | 0.854759i | −0.544210 | − | 0.604406i | 0.406819 | − | 0.913509i | \(-0.366638\pi\) |
−0.951029 | + | 0.309103i | \(0.899971\pi\) | |||||||
\(3\) | 1.59325 | − | 1.76948i | 0.919864 | − | 1.02161i | −0.0798282 | − | 0.996809i | \(-0.525437\pi\) |
0.999692 | − | 0.0248039i | \(-0.00789615\pi\) | |||||||
\(4\) | 0.0707719 | − | 0.673349i | 0.0353859 | − | 0.336675i | ||||
\(5\) | −0.220512 | − | 0.381938i | −0.0986160 | − | 0.170808i | 0.812496 | − | 0.582967i | \(-0.198108\pi\) |
−0.911112 | + | 0.412159i | \(0.864775\pi\) | |||||||
\(6\) | −2.73870 | −1.11807 | ||||||||
\(7\) | −1.17517 | − | 0.853812i | −0.444173 | − | 0.322711i | 0.343118 | − | 0.939292i | \(-0.388517\pi\) |
−0.787291 | + | 0.616582i | \(0.788517\pi\) | |||||||
\(8\) | −2.49107 | + | 1.80987i | −0.880726 | + | 0.639885i | ||||
\(9\) | −0.279042 | − | 2.65490i | −0.0930138 | − | 0.884968i | ||||
\(10\) | −0.156753 | + | 0.482435i | −0.0495696 | + | 0.152559i | ||||
\(11\) | −0.280365 | − | 0.203697i | −0.0845332 | − | 0.0614170i | 0.544716 | − | 0.838621i | \(-0.316637\pi\) |
−0.629249 | + | 0.777204i | \(0.716637\pi\) | |||||||
\(12\) | −1.07872 | − | 1.19804i | −0.311401 | − | 0.345846i | ||||
\(13\) | −3.45786 | − | 1.02137i | −0.959038 | − | 0.283276i | ||||
\(14\) | 0.174642 | + | 1.66161i | 0.0466750 | + | 0.444083i | ||||
\(15\) | −1.02717 | − | 0.218331i | −0.265213 | − | 0.0563727i | ||||
\(16\) | 2.13967 | + | 0.454802i | 0.534919 | + | 0.113700i | ||||
\(17\) | 1.66028 | − | 1.20627i | 0.402678 | − | 0.292562i | −0.367953 | − | 0.929844i | \(-0.619941\pi\) |
0.770631 | + | 0.637282i | \(0.219941\pi\) | |||||||
\(18\) | −2.05454 | + | 2.28180i | −0.484261 | + | 0.537826i | ||||
\(19\) | −0.0393130 | + | 0.120993i | −0.00901901 | + | 0.0277577i | −0.955465 | − | 0.295105i | \(-0.904645\pi\) |
0.946446 | + | 0.322863i | \(0.104645\pi\) | |||||||
\(20\) | −0.272784 | + | 0.121451i | −0.0609963 | + | 0.0271573i | ||||
\(21\) | −3.38315 | + | 0.719111i | −0.738264 | + | 0.156923i | ||||
\(22\) | 0.0416650 | + | 0.396416i | 0.00888300 | + | 0.0845161i | ||||
\(23\) | −0.355874 | − | 3.38592i | −0.0742049 | − | 0.706012i | −0.966866 | − | 0.255284i | \(-0.917831\pi\) |
0.892661 | − | 0.450728i | \(-0.148836\pi\) | |||||||
\(24\) | −0.766366 | + | 7.29148i | −0.156434 | + | 1.48837i | ||||
\(25\) | 2.40275 | − | 4.16168i | 0.480550 | − | 0.832337i | ||||
\(26\) | 1.78825 | + | 3.74171i | 0.350704 | + | 0.733810i | ||||
\(27\) | 0.636601 | + | 0.462518i | 0.122514 | + | 0.0890116i | ||||
\(28\) | −0.658083 | + | 0.730875i | −0.124366 | + | 0.138122i | ||||
\(29\) | 3.11234 | + | 3.45660i | 0.577947 | + | 0.641875i | 0.959245 | − | 0.282577i | \(-0.0911894\pi\) |
−0.381298 | + | 0.924452i | \(0.624523\pi\) | |||||||
\(30\) | 0.603916 | + | 1.04601i | 0.110259 | + | 0.190975i | ||||
\(31\) | 5.45192 | − | 1.12984i | 0.979194 | − | 0.202925i | ||||
\(32\) | 1.82112 | + | 3.15428i | 0.321932 | + | 0.557603i | ||||
\(33\) | −0.807131 | + | 0.171561i | −0.140503 | + | 0.0298649i | ||||
\(34\) | −2.30887 | − | 0.490765i | −0.395968 | − | 0.0841655i | ||||
\(35\) | −0.0669639 | + | 0.637119i | −0.0113190 | + | 0.107693i | ||||
\(36\) | −1.80742 | −0.301237 | ||||||||
\(37\) | −1.91532 | − | 3.31743i | −0.314877 | − | 0.545383i | 0.664534 | − | 0.747258i | \(-0.268630\pi\) |
−0.979411 | + | 0.201875i | \(0.935297\pi\) | |||||||
\(38\) | 0.133676 | − | 0.0595165i | 0.0216851 | − | 0.00965484i | ||||
\(39\) | −7.31654 | + | 4.49134i | −1.17158 | + | 0.719190i | ||||
\(40\) | 1.24057 | + | 0.552337i | 0.196151 | + | 0.0873321i | ||||
\(41\) | −0.476089 | + | 1.46525i | −0.0743525 | + | 0.228834i | −0.981325 | − | 0.192356i | \(-0.938387\pi\) |
0.906973 | + | 0.421189i | \(0.138387\pi\) | |||||||
\(42\) | 3.21844 | + | 2.33833i | 0.496616 | + | 0.360813i | ||||
\(43\) | 0.317389 | − | 0.976823i | 0.0484014 | − | 0.148964i | −0.923935 | − | 0.382550i | \(-0.875046\pi\) |
0.972336 | + | 0.233586i | \(0.0750460\pi\) | |||||||
\(44\) | −0.157001 | + | 0.174368i | −0.0236688 | + | 0.0262869i | ||||
\(45\) | −0.952477 | + | 0.692015i | −0.141987 | + | 0.103159i | ||||
\(46\) | −2.62025 | + | 2.91008i | −0.386335 | + | 0.429069i | ||||
\(47\) | −0.313383 | − | 0.964492i | −0.0457115 | − | 0.140686i | 0.925596 | − | 0.378513i | \(-0.123565\pi\) |
−0.971307 | + | 0.237828i | \(0.923565\pi\) | |||||||
\(48\) | 4.21380 | − | 3.06151i | 0.608210 | − | 0.441891i | ||||
\(49\) | −1.51109 | − | 4.65064i | −0.215869 | − | 0.664378i | ||||
\(50\) | −5.40646 | + | 1.14918i | −0.764589 | + | 0.162518i | ||||
\(51\) | 0.510778 | − | 4.85973i | 0.0715232 | − | 0.680498i | ||||
\(52\) | −0.932455 | + | 2.25606i | −0.129308 | + | 0.312860i | ||||
\(53\) | 2.18662 | + | 0.973544i | 0.300355 | + | 0.133727i | 0.551381 | − | 0.834254i | \(-0.314101\pi\) |
−0.251026 | + | 0.967980i | \(0.580768\pi\) | |||||||
\(54\) | −0.0946052 | − | 0.900108i | −0.0128741 | − | 0.122489i | ||||
\(55\) | −0.0159758 | + | 0.152000i | −0.00215418 | + | 0.0204957i | ||||
\(56\) | 4.47272 | 0.597693 | ||||||||
\(57\) | 0.151460 | + | 0.262336i | 0.0200613 | + | 0.0347472i | ||||
\(58\) | 0.559218 | − | 5.32060i | 0.0734289 | − | 0.698629i | ||||
\(59\) | 0.00245451 | + | 0.00755422i | 0.000319551 | + | 0.000983476i | 0.951216 | − | 0.308525i | \(-0.0998354\pi\) |
−0.950897 | + | 0.309509i | \(0.899835\pi\) | |||||||
\(60\) | −0.219707 | + | 0.676189i | −0.0283641 | + | 0.0872956i | ||||
\(61\) | −0.954694 | − | 1.65358i | −0.122236 | − | 0.211719i | 0.798413 | − | 0.602110i | \(-0.205673\pi\) |
−0.920649 | + | 0.390391i | \(0.872340\pi\) | |||||||
\(62\) | −5.16170 | − | 3.79052i | −0.655536 | − | 0.481397i | ||||
\(63\) | −1.93887 | + | 3.35822i | −0.244274 | + | 0.423095i | ||||
\(64\) | 2.64649 | − | 8.14507i | 0.330812 | − | 1.01813i | ||||
\(65\) | 0.372402 | + | 1.54591i | 0.0461908 | + | 0.191747i | ||||
\(66\) | 0.767834 | + | 0.557864i | 0.0945139 | + | 0.0686684i | ||||
\(67\) | −8.44149 | −1.03129 | −0.515646 | − | 0.856802i | \(-0.672448\pi\) | ||||
−0.515646 | + | 0.856802i | \(0.672448\pi\) | |||||||
\(68\) | −0.694737 | − | 1.20332i | −0.0842492 | − | 0.145924i | ||||
\(69\) | −6.55832 | − | 4.76490i | −0.789529 | − | 0.573627i | ||||
\(70\) | 0.596121 | − | 0.433107i | 0.0712501 | − | 0.0517662i | ||||
\(71\) | 1.14408 | + | 10.8852i | 0.135777 | + | 1.29183i | 0.824106 | + | 0.566435i | \(0.191678\pi\) |
−0.688329 | + | 0.725398i | \(0.741656\pi\) | |||||||
\(72\) | 5.50013 | + | 6.10852i | 0.648197 | + | 0.719896i | ||||
\(73\) | 0.275055 | − | 2.61698i | 0.0321928 | − | 0.306294i | −0.966563 | − | 0.256429i | \(-0.917454\pi\) |
0.998756 | − | 0.0498652i | \(-0.0158792\pi\) | |||||||
\(74\) | −1.36152 | + | 4.19033i | −0.158274 | + | 0.487116i | ||||
\(75\) | −3.53585 | − | 10.8822i | −0.408285 | − | 1.25657i | ||||
\(76\) | 0.0786882 | + | 0.0350342i | 0.00902615 | + | 0.00401870i | ||||
\(77\) | 0.155558 | + | 0.478758i | 0.0177275 | + | 0.0545596i | ||||
\(78\) | 9.47003 | + | 2.79721i | 1.07227 | + | 0.316722i | ||||
\(79\) | −0.315965 | − | 3.00620i | −0.0355488 | − | 0.338224i | −0.997813 | − | 0.0661059i | \(-0.978942\pi\) |
0.962264 | − | 0.272118i | \(-0.0877242\pi\) | |||||||
\(80\) | −0.298118 | − | 0.917513i | −0.0333306 | − | 0.102581i | ||||
\(81\) | 9.66626 | − | 2.05463i | 1.07403 | − | 0.228292i | ||||
\(82\) | 1.61885 | − | 0.720757i | 0.178772 | − | 0.0795943i | ||||
\(83\) | 5.80841 | − | 1.23462i | 0.637556 | − | 0.135517i | 0.122217 | − | 0.992503i | \(-0.461000\pi\) |
0.515338 | + | 0.856987i | \(0.327666\pi\) | |||||||
\(84\) | 0.244781 | + | 2.32894i | 0.0267078 | + | 0.254108i | ||||
\(85\) | −0.826831 | − | 0.368129i | −0.0896825 | − | 0.0399292i | ||||
\(86\) | −1.07922 | + | 0.480500i | −0.116375 | + | 0.0518136i | ||||
\(87\) | 11.0751 | 1.18738 | ||||||||
\(88\) | 1.06707 | 0.113750 | ||||||||
\(89\) | 11.1256 | − | 4.95343i | 1.17931 | − | 0.525062i | 0.278991 | − | 0.960294i | \(-0.410000\pi\) |
0.900319 | + | 0.435231i | \(0.143333\pi\) | |||||||
\(90\) | 1.32456 | + | 0.281544i | 0.139621 | + | 0.0296773i | ||||
\(91\) | 3.19153 | + | 4.15265i | 0.334563 | + | 0.435316i | ||||
\(92\) | −2.30509 | −0.240322 | ||||||||
\(93\) | 6.68705 | − | 11.4472i | 0.693415 | − | 1.18702i | ||||
\(94\) | −0.583221 | + | 1.01017i | −0.0601546 | + | 0.104191i | ||||
\(95\) | 0.0548808 | − | 0.0116653i | 0.00563065 | − | 0.00119683i | ||||
\(96\) | 8.48295 | + | 1.80311i | 0.865787 | + | 0.184029i | ||||
\(97\) | 0.0260009 | − | 0.247382i | 0.00263999 | − | 0.0251178i | −0.993123 | − | 0.117079i | \(-0.962647\pi\) |
0.995763 | + | 0.0919612i | \(0.0293136\pi\) | |||||||
\(98\) | −2.81221 | + | 4.87088i | −0.284076 | + | 0.492033i | ||||
\(99\) | −0.462563 | + | 0.801182i | −0.0464893 | + | 0.0805218i | ||||
\(100\) | −2.63222 | − | 1.91242i | −0.263222 | − | 0.191242i | ||||
\(101\) | 1.31033 | + | 12.4669i | 0.130382 | + | 1.24051i | 0.842597 | + | 0.538544i | \(0.181025\pi\) |
−0.712215 | + | 0.701961i | \(0.752308\pi\) | |||||||
\(102\) | −4.54701 | + | 3.30359i | −0.450221 | + | 0.327105i | ||||
\(103\) | 5.44797 | − | 1.15800i | 0.536804 | − | 0.114101i | 0.0684710 | − | 0.997653i | \(-0.478188\pi\) |
0.468333 | + | 0.883552i | \(0.344855\pi\) | |||||||
\(104\) | 10.4623 | − | 3.71398i | 1.02591 | − | 0.364186i | ||||
\(105\) | 1.02068 | + | 1.13358i | 0.0996084 | + | 0.110626i | ||||
\(106\) | −0.850737 | − | 2.61830i | −0.0826309 | − | 0.254312i | ||||
\(107\) | 11.3514 | + | 5.05395i | 1.09738 | + | 0.488584i | 0.873890 | − | 0.486123i | \(-0.161589\pi\) |
0.223487 | + | 0.974707i | \(0.428256\pi\) | |||||||
\(108\) | 0.356490 | − | 0.395922i | 0.0343032 | − | 0.0380976i | ||||
\(109\) | −0.440840 | − | 1.35677i | −0.0422249 | − | 0.129955i | 0.927722 | − | 0.373272i | \(-0.121764\pi\) |
−0.969947 | + | 0.243318i | \(0.921764\pi\) | |||||||
\(110\) | 0.142219 | − | 0.103328i | 0.0135600 | − | 0.00985193i | ||||
\(111\) | −8.92174 | − | 1.89637i | −0.846814 | − | 0.179996i | ||||
\(112\) | −2.12617 | − | 2.36135i | −0.200904 | − | 0.223127i | ||||
\(113\) | 15.1432 | − | 6.74218i | 1.42455 | − | 0.634251i | 0.457587 | − | 0.889165i | \(-0.348714\pi\) |
0.966964 | + | 0.254914i | \(0.0820471\pi\) | |||||||
\(114\) | 0.107666 | − | 0.331363i | 0.0100839 | − | 0.0310349i | ||||
\(115\) | −1.21474 | + | 0.882557i | −0.113275 | + | 0.0822989i | ||||
\(116\) | 2.54777 | − | 1.85106i | 0.236554 | − | 0.171867i | ||||
\(117\) | −1.74674 | + | 9.46529i | −0.161486 | + | 0.875066i | ||||
\(118\) | 0.00456797 | − | 0.00791196i | 0.000420516 | − | 0.000728355i | ||||
\(119\) | −2.98104 | −0.273272 | ||||||||
\(120\) | 2.95389 | − | 1.31516i | 0.269652 | − | 0.120057i | ||||
\(121\) | −3.36207 | − | 10.3474i | −0.305643 | − | 0.940673i | ||||
\(122\) | −0.678652 | + | 2.08868i | −0.0614422 | + | 0.189100i | ||||
\(123\) | 1.83421 | + | 3.17694i | 0.165385 | + | 0.286455i | ||||
\(124\) | −0.374934 | − | 3.75101i | −0.0336701 | − | 0.336851i | ||||
\(125\) | −4.32446 | −0.386792 | ||||||||
\(126\) | 4.36267 | − | 0.927315i | 0.388658 | − | 0.0826118i | ||||
\(127\) | −12.4489 | + | 13.8259i | −1.10466 | + | 1.22685i | −0.132840 | + | 0.991137i | \(0.542410\pi\) |
−0.971822 | + | 0.235715i | \(0.924257\pi\) | |||||||
\(128\) | −2.34418 | + | 1.04370i | −0.207198 | + | 0.0922505i | ||||
\(129\) | −1.22279 | − | 2.11794i | −0.107661 | − | 0.186474i | ||||
\(130\) | 1.03477 | − | 1.50809i | 0.0907556 | − | 0.132269i | ||||
\(131\) | −5.22680 | + | 2.32712i | −0.456668 | + | 0.203322i | −0.622161 | − | 0.782889i | \(-0.713745\pi\) |
0.165493 | + | 0.986211i | \(0.447078\pi\) | |||||||
\(132\) | 0.0583983 | + | 0.555623i | 0.00508292 | + | 0.0483607i | ||||
\(133\) | 0.149505 | − | 0.108622i | 0.0129637 | − | 0.00941868i | ||||
\(134\) | 6.49681 | + | 7.21544i | 0.561239 | + | 0.623319i | ||||
\(135\) | 0.0362750 | − | 0.345133i | 0.00312205 | − | 0.0297043i | ||||
\(136\) | −1.95270 | + | 6.00978i | −0.167442 | + | 0.515335i | ||||
\(137\) | −4.53970 | − | 0.964942i | −0.387853 | − | 0.0824406i | 0.00985832 | − | 0.999951i | \(-0.496862\pi\) |
−0.397711 | + | 0.917511i | \(0.630195\pi\) | |||||||
\(138\) | 0.974631 | + | 9.27299i | 0.0829661 | + | 0.789369i | ||||
\(139\) | 7.18300 | − | 7.97753i | 0.609254 | − | 0.676645i | −0.357039 | − | 0.934089i | \(-0.616214\pi\) |
0.966293 | + | 0.257444i | \(0.0828804\pi\) | |||||||
\(140\) | 0.424265 | + | 0.0901802i | 0.0358569 | + | 0.00762162i | ||||
\(141\) | −2.20595 | − | 0.982153i | −0.185775 | − | 0.0827122i | ||||
\(142\) | 8.42369 | − | 9.35546i | 0.706901 | − | 0.785093i | ||||
\(143\) | 0.761414 | + | 0.990712i | 0.0636727 | + | 0.0828475i | ||||
\(144\) | 0.610397 | − | 5.80754i | 0.0508664 | − | 0.483961i | ||||
\(145\) | 0.633900 | − | 1.95094i | 0.0526425 | − | 0.162017i | ||||
\(146\) | −2.44857 | + | 1.77899i | −0.202645 | + | 0.147231i | ||||
\(147\) | −10.6368 | − | 4.73580i | −0.877307 | − | 0.390602i | ||||
\(148\) | −2.36934 | + | 1.05490i | −0.194759 | + | 0.0867122i | ||||
\(149\) | 16.8954 | 1.38412 | 0.692061 | − | 0.721839i | \(-0.256703\pi\) | ||||
0.692061 | + | 0.721839i | \(0.256703\pi\) | |||||||
\(150\) | −6.58040 | + | 11.3976i | −0.537287 | + | 0.930609i | ||||
\(151\) | 9.32999 | + | 6.77864i | 0.759264 | + | 0.551638i | 0.898685 | − | 0.438596i | \(-0.144524\pi\) |
−0.139420 | + | 0.990233i | \(0.544524\pi\) | |||||||
\(152\) | −0.121050 | − | 0.372553i | −0.00981843 | − | 0.0302180i | ||||
\(153\) | −3.66581 | − | 4.07129i | −0.296363 | − | 0.329144i | ||||
\(154\) | 0.289501 | − | 0.501431i | 0.0233287 | − | 0.0404064i | ||||
\(155\) | −1.63374 | − | 1.83315i | −0.131225 | − | 0.147243i | ||||
\(156\) | 2.50644 | + | 5.24444i | 0.200676 | + | 0.419892i | ||||
\(157\) | −2.23726 | + | 6.88556i | −0.178552 | + | 0.549528i | −0.999778 | − | 0.0210760i | \(-0.993291\pi\) |
0.821225 | + | 0.570604i | \(0.193291\pi\) | |||||||
\(158\) | −2.32640 | + | 2.58373i | −0.185079 | + | 0.205551i | ||||
\(159\) | 5.20650 | − | 2.31808i | 0.412902 | − | 0.183836i | ||||
\(160\) | 0.803159 | − | 1.39111i | 0.0634953 | − | 0.109977i | ||||
\(161\) | −2.47272 | + | 4.28288i | −0.194878 | + | 0.337538i | ||||
\(162\) | −9.19564 | − | 6.68102i | −0.722478 | − | 0.524911i | ||||
\(163\) | −3.54540 | − | 1.57851i | −0.277697 | − | 0.123639i | 0.263163 | − | 0.964751i | \(-0.415234\pi\) |
−0.540860 | + | 0.841113i | \(0.681901\pi\) | |||||||
\(164\) | 0.952931 | + | 0.424272i | 0.0744114 | + | 0.0331301i | ||||
\(165\) | 0.243508 | + | 0.270443i | 0.0189571 | + | 0.0210540i | ||||
\(166\) | −5.52562 | − | 4.01460i | −0.428871 | − | 0.311593i | ||||
\(167\) | −19.3087 | + | 4.10420i | −1.49415 | + | 0.317592i | −0.881282 | − | 0.472590i | \(-0.843319\pi\) |
−0.612872 | + | 0.790182i | \(0.709986\pi\) | |||||||
\(168\) | 7.12617 | − | 7.91442i | 0.549796 | − | 0.610610i | ||||
\(169\) | 10.9136 | + | 7.06349i | 0.839509 | + | 0.543345i | ||||
\(170\) | 0.321691 | + | 0.990065i | 0.0246726 | + | 0.0759345i | ||||
\(171\) | 0.332194 | + | 0.0706100i | 0.0254035 | + | 0.00539969i | ||||
\(172\) | −0.635281 | − | 0.282845i | −0.0484397 | − | 0.0215667i | ||||
\(173\) | −20.6002 | − | 4.37871i | −1.56620 | − | 0.332907i | −0.658521 | − | 0.752562i | \(-0.728818\pi\) |
−0.907684 | + | 0.419655i | \(0.862151\pi\) | |||||||
\(174\) | −8.52375 | − | 9.46658i | −0.646184 | − | 0.717660i | ||||
\(175\) | −6.37694 | + | 2.83920i | −0.482051 | + | 0.214623i | ||||
\(176\) | −0.507248 | − | 0.563356i | −0.0382353 | − | 0.0424646i | ||||
\(177\) | 0.0172777 | + | 0.00769254i | 0.00129867 | + | 0.000578207i | ||||
\(178\) | −12.7966 | − | 5.69739i | −0.959142 | − | 0.427038i | ||||
\(179\) | −1.48175 | + | 14.0979i | −0.110751 | + | 1.05373i | 0.788122 | + | 0.615519i | \(0.211053\pi\) |
−0.898874 | + | 0.438208i | \(0.855613\pi\) | |||||||
\(180\) | 0.398559 | + | 0.690325i | 0.0297068 | + | 0.0514538i | ||||
\(181\) | 0.396864 | + | 0.687389i | 0.0294987 | + | 0.0510933i | 0.880398 | − | 0.474236i | \(-0.157276\pi\) |
−0.850899 | + | 0.525329i | \(0.823942\pi\) | |||||||
\(182\) | 1.09322 | − | 5.92398i | 0.0810350 | − | 0.439115i | ||||
\(183\) | −4.44705 | − | 0.945250i | −0.328735 | − | 0.0698749i | ||||
\(184\) | 7.01457 | + | 7.79047i | 0.517121 | + | 0.574321i | ||||
\(185\) | −0.844703 | + | 1.46307i | −0.0621038 | + | 0.107567i | ||||
\(186\) | −14.9312 | + | 3.09429i | −1.09481 | + | 0.226884i | ||||
\(187\) | −0.711198 | −0.0520079 | ||||||||
\(188\) | −0.671619 | + | 0.142757i | −0.0489828 | + | 0.0104116i | ||||
\(189\) | −0.353213 | − | 1.08708i | −0.0256924 | − | 0.0790732i | ||||
\(190\) | −0.0522088 | − | 0.0379319i | −0.00378763 | − | 0.00275187i | ||||
\(191\) | −1.71156 | + | 2.96450i | −0.123844 | + | 0.214504i | −0.921280 | − | 0.388899i | \(-0.872856\pi\) |
0.797437 | + | 0.603403i | \(0.206189\pi\) | |||||||
\(192\) | −10.1960 | − | 17.6601i | −0.735836 | − | 1.27451i | ||||
\(193\) | 1.82312 | − | 17.3458i | 0.131231 | − | 1.24858i | −0.708553 | − | 0.705658i | \(-0.750652\pi\) |
0.839784 | − | 0.542921i | \(-0.182682\pi\) | |||||||
\(194\) | −0.231463 | + | 0.168168i | −0.0166181 | + | 0.0120737i | ||||
\(195\) | 3.32880 | + | 1.80407i | 0.238380 | + | 0.129192i | ||||
\(196\) | −3.23845 | + | 0.688354i | −0.231318 | + | 0.0491681i | ||||
\(197\) | −3.29309 | − | 2.39257i | −0.234623 | − | 0.170463i | 0.464261 | − | 0.885698i | \(-0.346320\pi\) |
−0.698884 | + | 0.715235i | \(0.746320\pi\) | |||||||
\(198\) | 1.04082 | − | 0.221233i | 0.0739678 | − | 0.0157223i | ||||
\(199\) | −16.2404 | − | 3.45200i | −1.15125 | − | 0.244706i | −0.407527 | − | 0.913193i | \(-0.633609\pi\) |
−0.743724 | + | 0.668487i | \(0.766942\pi\) | |||||||
\(200\) | 1.54668 | + | 14.7157i | 0.109367 | + | 1.04056i | ||||
\(201\) | −13.4494 | + | 14.9371i | −0.948648 | + | 1.05358i | ||||
\(202\) | 9.64776 | − | 10.7149i | 0.678814 | − | 0.753899i | ||||
\(203\) | −0.706243 | − | 6.71946i | −0.0495686 | − | 0.471613i | ||||
\(204\) | −3.23615 | − | 0.687864i | −0.226576 | − | 0.0481601i | ||||
\(205\) | 0.664618 | − | 0.141269i | 0.0464190 | − | 0.00986665i | ||||
\(206\) | −5.18273 | − | 3.76547i | −0.361098 | − | 0.262353i | ||||
\(207\) | −8.88997 | + | 1.88962i | −0.617896 | + | 0.131338i | ||||
\(208\) | −6.93418 | − | 3.75803i | −0.480799 | − | 0.260573i | ||||
\(209\) | 0.0356679 | − | 0.0259142i | 0.00246720 | − | 0.00179252i | ||||
\(210\) | 0.183394 | − | 1.74488i | 0.0126554 | − | 0.120408i | ||||
\(211\) | 8.19385 | + | 14.1922i | 0.564088 | + | 0.977028i | 0.997134 | + | 0.0756567i | \(0.0241053\pi\) |
−0.433046 | + | 0.901372i | \(0.642561\pi\) | |||||||
\(212\) | 0.810286 | − | 1.40346i | 0.0556507 | − | 0.0963898i | ||||
\(213\) | 21.0840 | + | 15.3184i | 1.44465 | + | 1.04960i | ||||
\(214\) | −4.41642 | − | 13.5923i | −0.301900 | − | 0.929154i | ||||
\(215\) | −0.443074 | + | 0.0941783i | −0.0302174 | + | 0.00642291i | ||||
\(216\) | −2.42292 | −0.164858 | ||||||||
\(217\) | −7.37162 | − | 3.32716i | −0.500418 | − | 0.225863i | ||||
\(218\) | −0.820426 | + | 1.42102i | −0.0555663 | + | 0.0962436i | ||||
\(219\) | −4.19247 | − | 4.65621i | −0.283301 | − | 0.314637i | ||||
\(220\) | 0.101218 | + | 0.0215146i | 0.00682414 | + | 0.00145052i | ||||
\(221\) | −6.97307 | + | 2.47534i | −0.469059 | + | 0.166510i | ||||
\(222\) | 5.24548 | + | 9.08544i | 0.352054 | + | 0.609775i | ||||
\(223\) | −5.02869 | − | 8.70994i | −0.336746 | − | 0.583261i | 0.647073 | − | 0.762428i | \(-0.275993\pi\) |
−0.983819 | + | 0.179167i | \(0.942660\pi\) | |||||||
\(224\) | 0.553028 | − | 5.26171i | 0.0369508 | − | 0.351563i | ||||
\(225\) | −11.7193 | − | 5.21778i | −0.781289 | − | 0.347852i | ||||
\(226\) | −17.4176 | − | 7.75480i | −1.15860 | − | 0.515842i | ||||
\(227\) | 8.73717 | + | 9.70362i | 0.579907 | + | 0.644052i | 0.959702 | − | 0.281019i | \(-0.0906723\pi\) |
−0.379796 | + | 0.925070i | \(0.624006\pi\) | |||||||
\(228\) | 0.187363 | − | 0.0834192i | 0.0124084 | − | 0.00552457i | ||||
\(229\) | 14.6484 | + | 16.2687i | 0.967993 | + | 1.07506i | 0.997147 | + | 0.0754897i | \(0.0240520\pi\) |
−0.0291540 | + | 0.999575i | \(0.509281\pi\) | |||||||
\(230\) | 1.68927 | + | 0.359065i | 0.111387 | + | 0.0236761i | ||||
\(231\) | 1.09500 | + | 0.487525i | 0.0720456 | + | 0.0320768i | ||||
\(232\) | −14.0090 | − | 2.97771i | −0.919739 | − | 0.195497i | ||||
\(233\) | −1.54756 | − | 4.76290i | −0.101384 | − | 0.312028i | 0.887481 | − | 0.460845i | \(-0.152453\pi\) |
−0.988865 | + | 0.148817i | \(0.952453\pi\) | |||||||
\(234\) | 9.43489 | − | 5.79172i | 0.616778 | − | 0.378616i | ||||
\(235\) | −0.299272 | + | 0.332375i | −0.0195223 | + | 0.0216818i | ||||
\(236\) | 0.00526034 | − | 0.00111812i | 0.000342419 | − | 7.27834e-5i | ||||
\(237\) | −5.82284 | − | 4.23054i | −0.378234 | − | 0.274803i | ||||
\(238\) | 2.29430 | + | 2.54807i | 0.148717 | + | 0.165167i | ||||
\(239\) | −9.53302 | − | 4.24437i | −0.616640 | − | 0.274546i | 0.0745521 | − | 0.997217i | \(-0.476247\pi\) |
−0.691192 | + | 0.722671i | \(0.742914\pi\) | |||||||
\(240\) | −2.09850 | − | 0.934313i | −0.135458 | − | 0.0603097i | ||||
\(241\) | 12.3106 | + | 8.94414i | 0.792993 | + | 0.576143i | 0.908850 | − | 0.417123i | \(-0.136962\pi\) |
−0.115857 | + | 0.993266i | \(0.536962\pi\) | |||||||
\(242\) | −6.25699 | + | 10.8374i | −0.402214 | + | 0.696656i | ||||
\(243\) | 10.5848 | − | 18.3335i | 0.679017 | − | 1.17609i | ||||
\(244\) | −1.18100 | + | 0.525816i | −0.0756059 | + | 0.0336619i | ||||
\(245\) | −1.44305 | + | 1.60266i | −0.0921928 | + | 0.102390i | ||||
\(246\) | 1.30386 | − | 4.01287i | 0.0831312 | − | 0.255851i | ||||
\(247\) | 0.259517 | − | 0.378224i | 0.0165127 | − | 0.0240658i | ||||
\(248\) | −11.5363 | + | 12.6818i | −0.732553 | + | 0.805293i | ||||
\(249\) | 7.06962 | − | 12.2449i | 0.448019 | − | 0.775992i | ||||
\(250\) | 3.32823 | + | 3.69637i | 0.210496 | + | 0.233779i | ||||
\(251\) | 2.04678 | + | 6.29935i | 0.129192 | + | 0.397612i | 0.994641 | − | 0.103384i | \(-0.0329672\pi\) |
−0.865450 | + | 0.500996i | \(0.832967\pi\) | |||||||
\(252\) | 2.12404 | + | 1.54320i | 0.133802 | + | 0.0972126i | ||||
\(253\) | −0.589927 | + | 1.02178i | −0.0370884 | + | 0.0642389i | ||||
\(254\) | 21.3989 | 1.34269 | ||||||||
\(255\) | −1.96875 | + | 0.876544i | −0.123288 | + | 0.0548913i | ||||
\(256\) | −12.9514 | − | 5.76632i | −0.809461 | − | 0.360395i | ||||
\(257\) | −11.2602 | + | 8.18100i | −0.702391 | + | 0.510317i | −0.880710 | − | 0.473656i | \(-0.842934\pi\) |
0.178319 | + | 0.983973i | \(0.442934\pi\) | |||||||
\(258\) | −0.869232 | + | 2.67522i | −0.0541160 | + | 0.166552i | ||||
\(259\) | −0.581634 | + | 5.53388i | −0.0361410 | + | 0.343859i | ||||
\(260\) | 1.06730 | − | 0.141349i | 0.0661908 | − | 0.00876612i | ||||
\(261\) | 8.30847 | − | 9.22749i | 0.514281 | − | 0.571167i | ||||
\(262\) | 6.01183 | + | 2.67664i | 0.371412 | + | 0.165363i | ||||
\(263\) | −21.9829 | − | 4.67260i | −1.35552 | − | 0.288125i | −0.527850 | − | 0.849337i | \(-0.677002\pi\) |
−0.827672 | + | 0.561212i | \(0.810335\pi\) | |||||||
\(264\) | 1.70012 | − | 1.88817i | 0.104635 | − | 0.116209i | ||||
\(265\) | −0.110342 | − | 1.04983i | −0.00677823 | − | 0.0644906i | ||||
\(266\) | −0.207908 | − | 0.0441923i | −0.0127477 | − | 0.00270960i | ||||
\(267\) | 8.96083 | − | 27.5786i | 0.548394 | − | 1.68778i | ||||
\(268\) | −0.597420 | + | 5.68407i | −0.0364932 | + | 0.347210i | ||||
\(269\) | 14.7564 | + | 16.3886i | 0.899713 | + | 0.999232i | 0.999991 | + | 0.00427294i | \(0.00136012\pi\) |
−0.100278 | + | 0.994959i | \(0.531973\pi\) | |||||||
\(270\) | −0.322924 | + | 0.234618i | −0.0196525 | + | 0.0142784i | ||||
\(271\) | 0.807245 | + | 7.68042i | 0.0490366 | + | 0.466553i | 0.991294 | + | 0.131664i | \(0.0420320\pi\) |
−0.942258 | + | 0.334889i | \(0.891301\pi\) | |||||||
\(272\) | 4.10108 | − | 1.82592i | 0.248664 | − | 0.110712i | ||||
\(273\) | 12.4330 | + | 0.968849i | 0.752476 | + | 0.0586374i | ||||
\(274\) | 2.66909 | + | 4.62300i | 0.161246 | + | 0.279285i | ||||
\(275\) | −1.52137 | + | 0.677357i | −0.0917420 | + | 0.0408462i | ||||
\(276\) | −3.67259 | + | 4.07882i | −0.221064 | + | 0.245516i | ||||
\(277\) | −1.85053 | + | 0.393342i | −0.111188 | + | 0.0236337i | −0.263169 | − | 0.964750i | \(-0.584768\pi\) |
0.151982 | + | 0.988383i | \(0.451434\pi\) | |||||||
\(278\) | −12.3471 | −0.740530 | ||||||||
\(279\) | −4.52093 | − | 14.1591i | −0.270661 | − | 0.847680i | ||||
\(280\) | −0.986290 | − | 1.70830i | −0.0589421 | − | 0.102091i | ||||
\(281\) | −9.15707 | + | 28.1826i | −0.546265 | + | 1.68123i | 0.171698 | + | 0.985150i | \(0.445075\pi\) |
−0.717963 | + | 0.696081i | \(0.754925\pi\) | |||||||
\(282\) | 0.858260 | + | 2.64145i | 0.0511086 | + | 0.157296i | ||||
\(283\) | 11.3613 | − | 5.05839i | 0.675361 | − | 0.300690i | −0.0402496 | − | 0.999190i | \(-0.512815\pi\) |
0.715610 | + | 0.698500i | \(0.246149\pi\) | |||||||
\(284\) | 7.41050 | 0.439732 | ||||||||
\(285\) | 0.0667974 | − | 0.115696i | 0.00395673 | − | 0.00685326i | ||||
\(286\) | 0.260814 | − | 1.41331i | 0.0154222 | − | 0.0835706i | ||||
\(287\) | 1.81053 | − | 1.31543i | 0.106872 | − | 0.0776474i | ||||
\(288\) | 7.86613 | − | 5.71508i | 0.463516 | − | 0.336764i | ||||
\(289\) | −3.95183 | + | 12.1625i | −0.232460 | + | 0.715440i | ||||
\(290\) | −2.15546 | + | 0.959671i | −0.126573 | + | 0.0563538i | ||||
\(291\) | −0.396312 | − | 0.440149i | −0.0232322 | − | 0.0258020i | ||||
\(292\) | −1.74267 | − | 0.370416i | −0.101982 | − | 0.0216770i | ||||
\(293\) | 17.5149 | − | 12.7253i | 1.02323 | − | 0.743421i | 0.0562882 | − | 0.998415i | \(-0.482073\pi\) |
0.966943 | + | 0.254994i | \(0.0820734\pi\) | |||||||
\(294\) | 4.13840 | + | 12.7367i | 0.241357 | + | 0.742819i | ||||
\(295\) | 0.00234399 | − | 0.00260327i | 0.000136473 | − | 0.000151568i | ||||
\(296\) | 10.7753 | + | 4.79748i | 0.626302 | + | 0.278848i | ||||
\(297\) | −0.0842672 | − | 0.259348i | −0.00488968 | − | 0.0150489i | ||||
\(298\) | −13.0031 | − | 14.4415i | −0.753252 | − | 0.836571i | ||||
\(299\) | −2.22770 | + | 12.0715i | −0.128831 | + | 0.698113i | ||||
\(300\) | −7.57778 | + | 1.61071i | −0.437503 | + | 0.0929942i | ||||
\(301\) | −1.20701 | + | 0.876944i | −0.0695709 | + | 0.0505462i | ||||
\(302\) | −1.38653 | − | 13.1919i | −0.0797857 | − | 0.759110i | ||||
\(303\) | 24.1477 | + | 17.5443i | 1.38725 | + | 1.00790i | ||||
\(304\) | −0.139145 | + | 0.241006i | −0.00798050 | + | 0.0138226i | ||||
\(305\) | −0.421043 | + | 0.729268i | −0.0241089 | + | 0.0417578i | ||||
\(306\) | −0.658663 | + | 6.26676i | −0.0376533 | + | 0.358247i | ||||
\(307\) | 7.24757 | + | 1.54052i | 0.413641 | + | 0.0879221i | 0.410031 | − | 0.912071i | \(-0.365518\pi\) |
0.00360947 | + | 0.999993i | \(0.498851\pi\) | |||||||
\(308\) | 0.333381 | − | 0.0708622i | 0.0189961 | − | 0.00403775i | ||||
\(309\) | 6.63092 | − | 11.4851i | 0.377220 | − | 0.653364i | ||||
\(310\) | −0.309529 | + | 2.80731i | −0.0175801 | + | 0.159444i | ||||
\(311\) | −4.79900 | −0.272126 | −0.136063 | − | 0.990700i | \(-0.543445\pi\) | ||||
−0.136063 | + | 0.990700i | \(0.543445\pi\) | |||||||
\(312\) | 10.0973 | − | 24.4302i | 0.571645 | − | 1.38309i | ||||
\(313\) | 22.6083 | + | 4.80554i | 1.27790 | + | 0.271625i | 0.796372 | − | 0.604808i | \(-0.206750\pi\) |
0.481524 | + | 0.876433i | \(0.340083\pi\) | |||||||
\(314\) | 7.60736 | − | 3.38701i | 0.429308 | − | 0.191140i | ||||
\(315\) | 1.71017 | 0.0963574 | ||||||||
\(316\) | −2.04659 | −0.115129 | ||||||||
\(317\) | 15.4453 | − | 6.87667i | 0.867492 | − | 0.386232i | 0.0757783 | − | 0.997125i | \(-0.475856\pi\) |
0.791714 | + | 0.610892i | \(0.209189\pi\) | |||||||
\(318\) | −5.98848 | − | 2.66624i | −0.335817 | − | 0.149515i | ||||
\(319\) | −0.168491 | − | 1.60308i | −0.00943369 | − | 0.0897555i | ||||
\(320\) | −3.69450 | + | 0.785290i | −0.206529 | + | 0.0438990i | ||||
\(321\) | 27.0285 | − | 12.0338i | 1.50858 | − | 0.671664i | ||||
\(322\) | 5.56391 | − | 1.18265i | 0.310065 | − | 0.0659063i | ||||
\(323\) | 0.0806789 | + | 0.248304i | 0.00448909 | + | 0.0138160i | ||||
\(324\) | −0.699382 | − | 6.65418i | −0.0388546 | − | 0.369676i | ||||
\(325\) | −12.5590 | + | 11.9364i | −0.696647 | + | 0.662115i | ||||
\(326\) | 1.37939 | + | 4.24533i | 0.0763974 | + | 0.235127i | ||||
\(327\) | −3.10315 | − | 1.38161i | −0.171605 | − | 0.0764033i | ||||
\(328\) | −1.46594 | − | 4.51170i | −0.0809429 | − | 0.249117i | ||||
\(329\) | −0.455217 | + | 1.40101i | −0.0250969 | + | 0.0772404i | ||||
\(330\) | 0.0437529 | − | 0.416281i | 0.00240852 | − | 0.0229155i | ||||
\(331\) | −2.62275 | − | 2.91286i | −0.144159 | − | 0.160105i | 0.666741 | − | 0.745290i | \(-0.267689\pi\) |
−0.810900 | + | 0.585184i | \(0.801022\pi\) | |||||||
\(332\) | −0.420255 | − | 3.99846i | −0.0230645 | − | 0.219444i | ||||
\(333\) | −8.27301 | + | 6.01069i | −0.453358 | + | 0.329384i | ||||
\(334\) | 18.3687 | + | 13.3456i | 1.00509 | + | 0.730239i | ||||
\(335\) | 1.86145 | + | 3.22413i | 0.101702 | + | 0.176153i | ||||
\(336\) | −7.56590 | −0.412754 | ||||||||
\(337\) | 21.5453 | + | 15.6536i | 1.17365 | + | 0.852705i | 0.991441 | − | 0.130556i | \(-0.0416761\pi\) |
0.182206 | + | 0.983260i | \(0.441676\pi\) | |||||||
\(338\) | −2.36186 | − | 14.7648i | −0.128468 | − | 0.803098i | ||||
\(339\) | 12.1967 | − | 37.5376i | 0.662435 | − | 2.03876i | ||||
\(340\) | −0.306396 | + | 0.530693i | −0.0166166 | + | 0.0287809i | ||||
\(341\) | −1.75867 | − | 0.793773i | −0.0952375 | − | 0.0429852i | ||||
\(342\) | −0.195312 | − | 0.338290i | −0.0105612 | − | 0.0182926i | ||||
\(343\) | −5.33712 | + | 16.4260i | −0.288177 | + | 0.886919i | ||||
\(344\) | 0.977282 | + | 3.00777i | 0.0526915 | + | 0.162168i | ||||
\(345\) | −0.373708 | + | 3.55559i | −0.0201198 | + | 0.191427i | ||||
\(346\) | 12.1118 | + | 20.9782i | 0.651133 | + | 1.12779i | ||||
\(347\) | 18.3893 | 0.987191 | 0.493596 | − | 0.869692i | \(-0.335682\pi\) | ||||
0.493596 | + | 0.869692i | \(0.335682\pi\) | |||||||
\(348\) | 0.783808 | − | 7.45744i | 0.0420165 | − | 0.399761i | ||||
\(349\) | −2.76778 | − | 26.3337i | −0.148156 | − | 1.40961i | −0.775736 | − | 0.631058i | \(-0.782621\pi\) |
0.627580 | − | 0.778552i | \(-0.284046\pi\) | |||||||
\(350\) | 7.33471 | + | 3.26562i | 0.392057 | + | 0.174555i | ||||
\(351\) | −1.72888 | − | 2.24953i | −0.0922808 | − | 0.120071i | ||||
\(352\) | 0.131938 | − | 1.25531i | 0.00703232 | − | 0.0669080i | ||||
\(353\) | −19.7174 | + | 4.19106i | −1.04945 | + | 0.223068i | −0.700189 | − | 0.713957i | \(-0.746901\pi\) |
−0.349262 | + | 0.937025i | \(0.613568\pi\) | |||||||
\(354\) | −0.00672217 | − | 0.0206887i | −0.000357279 | − | 0.00109959i | ||||
\(355\) | 3.90518 | − | 2.83728i | 0.207266 | − | 0.150587i | ||||
\(356\) | −2.54801 | − | 7.84196i | −0.135044 | − | 0.415623i | ||||
\(357\) | −4.74955 | + | 5.27491i | −0.251373 | + | 0.279178i | ||||
\(358\) | 13.1907 | − | 9.58361i | 0.697151 | − | 0.506510i | ||||
\(359\) | −5.07996 | + | 5.64186i | −0.268110 | + | 0.297766i | −0.862133 | − | 0.506682i | \(-0.830872\pi\) |
0.594023 | + | 0.804448i | \(0.297539\pi\) | |||||||
\(360\) | 1.12023 | − | 3.44771i | 0.0590413 | − | 0.181710i | ||||
\(361\) | 15.3582 | + | 11.1584i | 0.808328 | + | 0.587285i | ||||
\(362\) | 0.282114 | − | 0.868258i | 0.0148276 | − | 0.0456346i | ||||
\(363\) | −23.6662 | − | 10.5369i | −1.24215 | − | 0.553042i | ||||
\(364\) | 3.02205 | − | 1.85512i | 0.158399 | − | 0.0972348i | ||||
\(365\) | −1.06018 | + | 0.472021i | −0.0554921 | + | 0.0247067i | ||||
\(366\) | 2.61462 | + | 4.52865i | 0.136668 | + | 0.236716i | ||||
\(367\) | −10.9631 | −0.572267 | −0.286133 | − | 0.958190i | \(-0.592370\pi\) | ||||
−0.286133 | + | 0.958190i | \(0.592370\pi\) | |||||||
\(368\) | 0.778466 | − | 7.40661i | 0.0405803 | − | 0.386096i | ||||
\(369\) | 4.02294 | + | 0.855103i | 0.209426 | + | 0.0445149i | ||||
\(370\) | 1.90068 | − | 0.404002i | 0.0988116 | − | 0.0210031i | ||||
\(371\) | −1.73843 | − | 3.01104i | −0.0902546 | − | 0.156326i | ||||
\(372\) | −7.23472 | − | 5.31286i | −0.375103 | − | 0.275459i | ||||
\(373\) | 6.89098 | + | 11.9355i | 0.356801 | + | 0.617998i | 0.987425 | − | 0.158091i | \(-0.0505340\pi\) |
−0.630623 | + | 0.776089i | \(0.717201\pi\) | |||||||
\(374\) | 0.547358 | + | 0.607903i | 0.0283032 | + | 0.0314339i | ||||
\(375\) | −6.88996 | + | 7.65207i | −0.355796 | + | 0.395151i | ||||
\(376\) | 2.52626 | + | 1.83544i | 0.130282 | + | 0.0946554i | ||||
\(377\) | −7.23158 | − | 15.1313i | −0.372445 | − | 0.779301i | ||||
\(378\) | −0.657346 | + | 1.13856i | −0.0338102 | + | 0.0585611i | ||||
\(379\) | 0.449850 | − | 4.28004i | 0.0231072 | − | 0.219851i | −0.976875 | − | 0.213813i | \(-0.931412\pi\) |
0.999982 | − | 0.00603738i | \(-0.00192177\pi\) | |||||||
\(380\) | −0.00397079 | − | 0.0377795i | −0.000203697 | − | 0.00193805i | ||||
\(381\) | 4.63051 | + | 44.0563i | 0.237228 | + | 2.25707i | ||||
\(382\) | 3.85120 | − | 0.818597i | 0.197044 | − | 0.0418831i | ||||
\(383\) | 0.766933 | − | 0.341461i | 0.0391884 | − | 0.0174478i | −0.387049 | − | 0.922059i | \(-0.626506\pi\) |
0.426237 | + | 0.904611i | \(0.359839\pi\) | |||||||
\(384\) | −1.88806 | + | 5.81086i | −0.0963498 | + | 0.296534i | ||||
\(385\) | 0.148554 | − | 0.164986i | 0.00757100 | − | 0.00840844i | ||||
\(386\) | −16.2296 | + | 11.7915i | −0.826066 | + | 0.600172i | ||||
\(387\) | −2.68193 | − | 0.570063i | −0.136330 | − | 0.0289779i | ||||
\(388\) | −0.164734 | − | 0.0350153i | −0.00836311 | − | 0.00177763i | ||||
\(389\) | −0.720185 | − | 6.85210i | −0.0365148 | − | 0.347415i | −0.997492 | − | 0.0707861i | \(-0.977449\pi\) |
0.960977 | − | 0.276629i | \(-0.0892174\pi\) | |||||||
\(390\) | −1.01990 | − | 4.23379i | −0.0516444 | − | 0.214386i | ||||
\(391\) | −4.67517 | − | 5.19230i | −0.236433 | − | 0.262586i | ||||
\(392\) | 12.1813 | + | 8.85021i | 0.615247 | + | 0.447003i | ||||
\(393\) | −4.20980 | + | 12.9564i | −0.212356 | + | 0.653566i | ||||
\(394\) | 0.489385 | + | 4.65619i | 0.0246549 | + | 0.234575i | ||||
\(395\) | −1.07851 | + | 0.783583i | −0.0542657 | + | 0.0394263i | ||||
\(396\) | 0.506739 | + | 0.368167i | 0.0254646 | + | 0.0185011i | ||||
\(397\) | 20.9874 | 1.05333 | 0.526664 | − | 0.850074i | \(-0.323443\pi\) | ||||
0.526664 | + | 0.850074i | \(0.323443\pi\) | |||||||
\(398\) | 9.54844 | + | 16.5384i | 0.478620 | + | 0.828994i | ||||
\(399\) | 0.0459944 | − | 0.437608i | 0.00230260 | − | 0.0219078i | ||||
\(400\) | 7.03384 | − | 7.81187i | 0.351692 | − | 0.390594i | ||||
\(401\) | −16.6566 | − | 18.4990i | −0.831789 | − | 0.923795i | 0.166269 | − | 0.986080i | \(-0.446828\pi\) |
−0.998058 | + | 0.0622851i | \(0.980161\pi\) | |||||||
\(402\) | 23.1187 | 1.15305 | ||||||||
\(403\) | −20.0060 | − | 1.66158i | −0.996569 | − | 0.0827691i | ||||
\(404\) | 8.48733 | 0.422260 | ||||||||
\(405\) | −2.91627 | − | 3.23884i | −0.144911 | − | 0.160939i | ||||
\(406\) | −5.19997 | + | 5.77515i | −0.258070 | + | 0.286616i | ||||
\(407\) | −0.138763 | + | 1.32024i | −0.00687821 | + | 0.0654418i | ||||
\(408\) | 7.52308 | + | 13.0304i | 0.372448 | + | 0.645099i | ||||
\(409\) | 7.07600 | 0.349886 | 0.174943 | − | 0.984579i | \(-0.444026\pi\) | ||||
0.174943 | + | 0.984579i | \(0.444026\pi\) | |||||||
\(410\) | −0.632260 | − | 0.459364i | −0.0312251 | − | 0.0226864i | ||||
\(411\) | −8.94033 | + | 6.49553i | −0.440994 | + | 0.320401i | ||||
\(412\) | −0.394177 | − | 3.75034i | −0.0194197 | − | 0.184766i | ||||
\(413\) | 0.00356541 | − | 0.0109732i | 0.000175442 | − | 0.000539956i | ||||
\(414\) | 8.45715 | + | 6.14448i | 0.415646 | + | 0.301985i | ||||
\(415\) | −1.75237 | − | 1.94621i | −0.0860205 | − | 0.0955355i | ||||
\(416\) | −3.07552 | − | 12.7671i | −0.150790 | − | 0.625958i | ||||
\(417\) | −2.67179 | − | 25.4204i | −0.130838 | − | 1.24484i | ||||
\(418\) | −0.0496014 | − | 0.0105431i | −0.00242609 | − | 0.000515681i | ||||
\(419\) | −24.1172 | − | 5.12626i | −1.17820 | − | 0.250434i | −0.423124 | − | 0.906072i | \(-0.639067\pi\) |
−0.755076 | + | 0.655637i | \(0.772400\pi\) | |||||||
\(420\) | 0.835532 | − | 0.607050i | 0.0407698 | − | 0.0296210i | ||||
\(421\) | −20.5952 | + | 22.8733i | −1.00375 | + | 1.11477i | −0.0103620 | + | 0.999946i | \(0.503298\pi\) |
−0.993385 | + | 0.114828i | \(0.963368\pi\) | |||||||
\(422\) | 5.82466 | − | 17.9265i | 0.283540 | − | 0.872646i | ||||
\(423\) | −2.47319 | + | 1.10113i | −0.120250 | + | 0.0535390i | ||||
\(424\) | −7.20900 | + | 1.53232i | −0.350100 | + | 0.0744160i | ||||
\(425\) | −1.03085 | − | 9.80792i | −0.0500038 | − | 0.475754i | ||||
\(426\) | −3.13328 | − | 29.8112i | −0.151808 | − | 1.44436i | ||||
\(427\) | −0.289916 | + | 2.75837i | −0.0140300 | + | 0.133487i | ||||
\(428\) | 4.20643 | − | 7.28575i | 0.203326 | − | 0.352170i | ||||
\(429\) | 2.96617 | + | 0.231142i | 0.143208 | + | 0.0111596i | ||||
\(430\) | 0.421502 | + | 0.306239i | 0.0203266 | + | 0.0147682i | ||||
\(431\) | −13.3077 | + | 14.7797i | −0.641008 | + | 0.711912i | −0.972853 | − | 0.231422i | \(-0.925662\pi\) |
0.331845 | + | 0.943334i | \(0.392329\pi\) | |||||||
\(432\) | 1.15177 | + | 1.27917i | 0.0554144 | + | 0.0615439i | ||||
\(433\) | 0.755003 | + | 1.30770i | 0.0362831 | + | 0.0628442i | 0.883597 | − | 0.468249i | \(-0.155115\pi\) |
−0.847314 | + | 0.531093i | \(0.821782\pi\) | |||||||
\(434\) | 2.82949 | + | 8.86164i | 0.135820 | + | 0.425372i | ||||
\(435\) | −2.44220 | − | 4.23002i | −0.117095 | − | 0.202814i | ||||
\(436\) | −0.944777 | + | 0.200819i | −0.0452466 | + | 0.00961747i | ||||
\(437\) | 0.423662 | + | 0.0900521i | 0.0202665 | + | 0.00430778i | ||||
\(438\) | −0.753292 | + | 7.16710i | −0.0359937 | + | 0.342457i | ||||
\(439\) | −37.1547 | −1.77330 | −0.886648 | − | 0.462445i | \(-0.846972\pi\) | ||||
−0.886648 | + | 0.462445i | \(0.846972\pi\) | |||||||
\(440\) | −0.235303 | − | 0.407556i | −0.0112176 | − | 0.0194295i | ||||
\(441\) | −11.9253 | + | 5.30951i | −0.567874 | + | 0.252834i | ||||
\(442\) | 7.48250 | + | 4.05520i | 0.355906 | + | 0.192886i | ||||
\(443\) | −19.6770 | − | 8.76077i | −0.934884 | − | 0.416237i | −0.117983 | − | 0.993016i | \(-0.537643\pi\) |
−0.816900 | + | 0.576779i | \(0.804310\pi\) | |||||||
\(444\) | −1.90833 | + | 5.87323i | −0.0905653 | + | 0.278731i | ||||
\(445\) | −4.34523 | − | 3.15699i | −0.205984 | − | 0.149656i | ||||
\(446\) | −3.57468 | + | 11.0017i | −0.169266 | + | 0.520947i | ||||
\(447\) | 26.9185 | − | 29.8961i | 1.27320 | − | 1.41404i | ||||
\(448\) | −10.0644 | + | 7.31225i | −0.475500 | + | 0.345471i | ||||
\(449\) | 20.2866 | − | 22.5306i | 0.957385 | − | 1.06328i | −0.0405582 | − | 0.999177i | \(-0.512914\pi\) |
0.997943 | − | 0.0641065i | \(-0.0204197\pi\) | |||||||
\(450\) | 4.55959 | + | 14.0330i | 0.214941 | + | 0.661520i | ||||
\(451\) | 0.431946 | − | 0.313827i | 0.0203395 | − | 0.0147775i | ||||
\(452\) | −3.46813 | − | 10.6738i | −0.163127 | − | 0.502054i | ||||
\(453\) | 26.8597 | − | 5.70921i | 1.26198 | − | 0.268242i | ||||
\(454\) | 1.56987 | − | 14.9364i | 0.0736779 | − | 0.700998i | ||||
\(455\) | 0.882284 | − | 2.13468i | 0.0413621 | − | 0.100075i | ||||
\(456\) | −0.852089 | − | 0.379375i | −0.0399027 | − | 0.0177658i | ||||
\(457\) | 4.33105 | + | 41.2072i | 0.202598 | + | 1.92759i | 0.346595 | + | 0.938015i | \(0.387338\pi\) |
−0.143997 | + | 0.989578i | \(0.545996\pi\) | |||||||
\(458\) | 2.63199 | − | 25.0417i | 0.122985 | − | 1.17012i | ||||
\(459\) | 1.61486 | 0.0753751 | ||||||||
\(460\) | 0.508300 | + | 0.880402i | 0.0236996 | + | 0.0410489i | ||||
\(461\) | −1.40696 | + | 13.3863i | −0.0655285 | + | 0.623462i | 0.911639 | + | 0.410992i | \(0.134818\pi\) |
−0.977168 | + | 0.212470i | \(0.931849\pi\) | |||||||
\(462\) | −0.426026 | − | 1.31117i | −0.0198205 | − | 0.0610013i | ||||
\(463\) | 10.0192 | − | 30.8358i | 0.465631 | − | 1.43306i | −0.392557 | − | 0.919728i | \(-0.628410\pi\) |
0.858188 | − | 0.513336i | \(-0.171590\pi\) | |||||||
\(464\) | 5.08732 | + | 8.81150i | 0.236173 | + | 0.409064i | ||||
\(465\) | −5.84670 | − | 0.0297902i | −0.271134 | − | 0.00138149i | ||||
\(466\) | −2.88008 | + | 4.98845i | −0.133417 | + | 0.231086i | ||||
\(467\) | −7.83302 | + | 24.1076i | −0.362469 | + | 1.11556i | 0.589082 | + | 0.808073i | \(0.299490\pi\) |
−0.951551 | + | 0.307491i | \(0.900510\pi\) | |||||||
\(468\) | 6.24983 | + | 1.84604i | 0.288898 | + | 0.0853333i | ||||
\(469\) | 9.92020 | + | 7.20745i | 0.458072 | + | 0.332809i | ||||
\(470\) | 0.514429 | 0.0237288 | ||||||||
\(471\) | 8.61939 | + | 14.9292i | 0.397161 | + | 0.687902i | ||||
\(472\) | −0.0197865 | − | 0.0143757i | −0.000910748 | − | 0.000661697i | ||||
\(473\) | −0.287961 | + | 0.209216i | −0.0132405 | + | 0.00961975i | ||||
\(474\) | 0.865331 | + | 8.23307i | 0.0397460 | + | 0.378158i | ||||
\(475\) | 0.409075 | + | 0.454323i | 0.0187696 | + | 0.0208458i | ||||
\(476\) | −0.210974 | + | 2.00728i | −0.00966997 | + | 0.0920036i | ||||
\(477\) | 1.97451 | − | 6.07691i | 0.0904065 | − | 0.278243i | ||||
\(478\) | 3.70897 | + | 11.4150i | 0.169644 | + | 0.522111i | ||||
\(479\) | −25.5112 | − | 11.3583i | −1.16563 | − | 0.518974i | −0.269606 | − | 0.962971i | \(-0.586894\pi\) |
−0.896029 | + | 0.443996i | \(0.853560\pi\) | |||||||
\(480\) | −1.18192 | − | 3.63757i | −0.0539469 | − | 0.166032i | ||||
\(481\) | 3.23460 | + | 13.4275i | 0.147485 | + | 0.612240i | ||||
\(482\) | −1.82947 | − | 17.4062i | −0.0833300 | − | 0.792832i | ||||
\(483\) | 3.63883 | + | 11.1992i | 0.165572 | + | 0.509579i | ||||
\(484\) | −7.20536 | + | 1.53155i | −0.327516 | + | 0.0696157i | ||||
\(485\) | −0.100218 | + | 0.0446199i | −0.00455067 | + | 0.00202609i | ||||
\(486\) | −23.8171 | + | 5.06248i | −1.08036 | + | 0.229639i | ||||
\(487\) | −3.51996 | − | 33.4902i | −0.159505 | − | 1.51758i | −0.722643 | − | 0.691222i | \(-0.757073\pi\) |
0.563138 | − | 0.826363i | \(-0.309594\pi\) | |||||||
\(488\) | 5.37097 | + | 2.39131i | 0.243132 | + | 0.108249i | ||||
\(489\) | −8.44186 | + | 3.75856i | −0.381754 | + | 0.169968i | ||||
\(490\) | 2.48050 | 0.112058 | ||||||||
\(491\) | 32.4611 | 1.46495 | 0.732474 | − | 0.680795i | \(-0.238366\pi\) | ||||
0.732474 | + | 0.680795i | \(0.238366\pi\) | |||||||
\(492\) | 2.26900 | − | 1.01022i | 0.102295 | − | 0.0455445i | ||||
\(493\) | 9.33694 | + | 1.98463i | 0.420515 | + | 0.0893832i | ||||
\(494\) | −0.523022 | + | 0.0692674i | −0.0235319 | + | 0.00311649i | ||||
\(495\) | 0.408003 | 0.0183384 | ||||||||
\(496\) | 12.1792 | + | 0.0620555i | 0.546862 | + | 0.00278637i | ||||
\(497\) | 7.94941 | − | 13.7688i | 0.356580 | − | 0.617615i | ||||
\(498\) | −15.9075 | + | 3.38124i | −0.712831 | + | 0.151517i | ||||
\(499\) | 1.79366 | + | 0.381255i | 0.0802954 | + | 0.0170673i | 0.247884 | − | 0.968790i | \(-0.420265\pi\) |
−0.167589 | + | 0.985857i | \(0.553598\pi\) | |||||||
\(500\) | −0.306050 | + | 2.91187i | −0.0136870 | + | 0.130223i | ||||
\(501\) | −23.5013 | + | 40.7055i | −1.04996 | + | 1.81859i | ||||
\(502\) | 3.80917 | − | 6.59767i | 0.170011 | − | 0.294468i | ||||
\(503\) | 0.107969 | + | 0.0784442i | 0.00481410 | + | 0.00349765i | 0.590190 | − | 0.807265i | \(-0.299053\pi\) |
−0.585376 | + | 0.810762i | \(0.699053\pi\) | |||||||
\(504\) | −1.24808 | − | 11.8746i | −0.0555937 | − | 0.528939i | ||||
\(505\) | 4.47265 | − | 3.24957i | 0.199030 | − | 0.144604i | ||||
\(506\) | 1.32740 | − | 0.282148i | 0.0590103 | − | 0.0125430i | ||||
\(507\) | 29.8869 | − | 8.05758i | 1.32732 | − | 0.357850i | ||||
\(508\) | 8.42864 | + | 9.36095i | 0.373960 | + | 0.415325i | ||||
\(509\) | 3.21496 | + | 9.89462i | 0.142500 | + | 0.438571i | 0.996681 | − | 0.0814051i | \(-0.0259407\pi\) |
−0.854181 | + | 0.519976i | \(0.825941\pi\) | |||||||
\(510\) | 2.26444 | + | 1.00819i | 0.100271 | + | 0.0446436i | ||||
\(511\) | −2.55764 | + | 2.84055i | −0.113143 | + | 0.125659i | ||||
\(512\) | 6.62482 | + | 20.3891i | 0.292779 | + | 0.901080i | ||||
\(513\) | −0.0809881 | + | 0.0588413i | −0.00357571 | + | 0.00259791i | ||||
\(514\) | 15.6589 | + | 3.32841i | 0.690686 | + | 0.146810i | ||||
\(515\) | −1.64363 | − | 1.82543i | −0.0724269 | − | 0.0804383i | ||||
\(516\) | −1.51265 | + | 0.673476i | −0.0665908 | + | 0.0296481i | ||||
\(517\) | −0.108603 | + | 0.334245i | −0.00477635 | + | 0.0147001i | ||||
\(518\) | 5.17778 | − | 3.76188i | 0.227499 | − | 0.165287i | ||||
\(519\) | −40.5694 | + | 29.4754i | −1.78080 | + | 1.29383i | ||||
\(520\) | −3.72558 | − | 3.17698i | −0.163377 | − | 0.139320i | ||||
\(521\) | −0.607583 | + | 1.05236i | −0.0266187 | + | 0.0461049i | −0.879028 | − | 0.476770i | \(-0.841807\pi\) |
0.852409 | + | 0.522875i | \(0.175141\pi\) | |||||||
\(522\) | −14.2817 | −0.625094 | ||||||||
\(523\) | −22.4795 | + | 10.0085i | −0.982962 | + | 0.437643i | −0.834339 | − | 0.551251i | \(-0.814151\pi\) |
−0.148622 | + | 0.988894i | \(0.547484\pi\) | |||||||
\(524\) | 1.19706 | + | 3.68416i | 0.0522936 | + | 0.160943i | ||||
\(525\) | −5.13615 | + | 15.8075i | −0.224160 | + | 0.689894i | ||||
\(526\) | 12.9247 | + | 22.3862i | 0.563544 | + | 0.976086i | ||||
\(527\) | 7.68884 | − | 8.45232i | 0.334931 | − | 0.368189i | ||||
\(528\) | −1.80502 | −0.0785536 | ||||||||
\(529\) | 11.1596 | − | 2.37205i | 0.485201 | − | 0.103133i | ||||
\(530\) | −0.812430 | + | 0.902295i | −0.0352897 | + | 0.0391932i | ||||
\(531\) | 0.0193708 | − | 0.00862444i | 0.000840621 | − | 0.000374269i | ||||
\(532\) | −0.0625595 | − | 0.108356i | −0.00271230 | − | 0.00469784i | ||||
\(533\) | 3.14280 | − | 4.58037i | 0.136130 | − | 0.198398i | ||||
\(534\) | −30.4696 | + | 13.5659i | −1.31855 | + | 0.587055i | ||||
\(535\) | −0.572816 | − | 5.44998i | −0.0247650 | − | 0.235623i | ||||
\(536\) | 21.0283 | − | 15.2780i | 0.908285 | − | 0.659908i | ||||
\(537\) | 22.5852 | + | 25.0834i | 0.974624 | + | 1.08243i | ||||
\(538\) | 2.65139 | − | 25.2263i | 0.114310 | − | 1.08758i | ||||
\(539\) | −0.523667 | + | 1.61168i | −0.0225559 | + | 0.0694200i | ||||
\(540\) | −0.229828 | − | 0.0488514i | −0.00989022 | − | 0.00210223i | ||||
\(541\) | 1.55763 | + | 14.8198i | 0.0669676 | + | 0.637154i | 0.975600 | + | 0.219557i | \(0.0704611\pi\) |
−0.908632 | + | 0.417597i | \(0.862872\pi\) | |||||||
\(542\) | 5.94363 | − | 6.60107i | 0.255301 | − | 0.283540i | ||||
\(543\) | 1.84863 | + | 0.392938i | 0.0793323 | + | 0.0168626i | ||||
\(544\) | 6.82847 | + | 3.04023i | 0.292768 | + | 0.130349i | ||||
\(545\) | −0.420991 | + | 0.467558i | −0.0180333 | + | 0.0200280i | ||||
\(546\) | −8.74062 | − | 11.3728i | −0.374064 | − | 0.486712i | ||||
\(547\) | −1.76937 | + | 16.8344i | −0.0756529 | + | 0.719789i | 0.889293 | + | 0.457339i | \(0.151197\pi\) |
−0.964946 | + | 0.262450i | \(0.915469\pi\) | |||||||
\(548\) | −0.971026 | + | 2.98851i | −0.0414802 | + | 0.127663i | ||||
\(549\) | −4.12369 | + | 2.99604i | −0.175995 | + | 0.127868i | ||||
\(550\) | 1.74987 | + | 0.779091i | 0.0746146 | + | 0.0332206i | ||||
\(551\) | −0.540579 | + | 0.240681i | −0.0230295 | + | 0.0102534i | ||||
\(552\) | 24.9611 | 1.06241 | ||||||||
\(553\) | −2.19542 | + | 3.80258i | −0.0933588 | + | 0.161702i | ||||
\(554\) | 1.76043 | + | 1.27903i | 0.0747937 | + | 0.0543408i | ||||
\(555\) | 1.24305 | + | 3.82573i | 0.0527647 | + | 0.162393i | ||||
\(556\) | −4.86331 | − | 5.40125i | −0.206250 | − | 0.229064i | ||||
\(557\) | 9.73482 | − | 16.8612i | 0.412478 | − | 0.714432i | −0.582682 | − | 0.812700i | \(-0.697997\pi\) |
0.995160 | + | 0.0982677i | \(0.0313302\pi\) | |||||||
\(558\) | −8.62315 | + | 14.7615i | −0.365047 | + | 0.624905i | ||||
\(559\) | −2.09518 | + | 3.05355i | −0.0886167 | + | 0.129151i | ||||
\(560\) | −0.433044 | + | 1.33277i | −0.0182994 | + | 0.0563199i | ||||
\(561\) | −1.13312 | + | 1.25845i | −0.0478402 | + | 0.0531320i | ||||
\(562\) | 31.1369 | − | 13.8630i | 1.31343 | − | 0.584776i | ||||
\(563\) | 2.28894 | − | 3.96455i | 0.0964671 | − | 0.167086i | −0.813753 | − | 0.581211i | \(-0.802579\pi\) |
0.910220 | + | 0.414125i | \(0.135912\pi\) | |||||||
\(564\) | −0.817451 | + | 1.41587i | −0.0344209 | + | 0.0596188i | ||||
\(565\) | −5.91435 | − | 4.29703i | −0.248819 | − | 0.180777i | ||||
\(566\) | −13.0677 | − | 5.81812i | −0.549277 | − | 0.244554i | ||||
\(567\) | −13.1138 | − | 5.83863i | −0.550727 | − | 0.245199i | ||||
\(568\) | −22.5507 | − | 25.0451i | −0.946207 | − | 1.05087i | ||||
\(569\) | 4.81303 | + | 3.49687i | 0.201773 | + | 0.146597i | 0.684084 | − | 0.729404i | \(-0.260202\pi\) |
−0.482311 | + | 0.876000i | \(0.660202\pi\) | |||||||
\(570\) | −0.150302 | + | 0.0319476i | −0.00629545 | + | 0.00133814i | ||||
\(571\) | −5.70110 | + | 6.33171i | −0.238584 | + | 0.264974i | −0.850531 | − | 0.525924i | \(-0.823720\pi\) |
0.611948 | + | 0.790898i | \(0.290386\pi\) | |||||||
\(572\) | 0.720982 | − | 0.442583i | 0.0301458 | − | 0.0185053i | ||||
\(573\) | 2.51870 | + | 7.75177i | 0.105220 | + | 0.323835i | ||||
\(574\) | −2.51782 | − | 0.535178i | −0.105092 | − | 0.0223379i | ||||
\(575\) | −14.9462 | − | 6.65447i | −0.623299 | − | 0.277511i | ||||
\(576\) | −22.3628 | − | 4.75337i | −0.931785 | − | 0.198057i | ||||
\(577\) | −12.7293 | − | 14.1374i | −0.529929 | − | 0.588546i | 0.417434 | − | 0.908707i | \(-0.362930\pi\) |
−0.947363 | + | 0.320161i | \(0.896263\pi\) | |||||||
\(578\) | 13.4374 | − | 5.98273i | 0.558923 | − | 0.248849i | ||||
\(579\) | −27.7885 | − | 30.8622i | −1.15485 | − | 1.28259i | ||||
\(580\) | −1.26880 | − | 0.564908i | −0.0526842 | − | 0.0234565i | ||||
\(581\) | −7.88001 | − | 3.50841i | −0.326918 | − | 0.145553i | ||||
\(582\) | −0.0712085 | + | 0.677503i | −0.00295169 | + | 0.0280834i | ||||
\(583\) | −0.414743 | − | 0.718355i | −0.0171769 | − | 0.0297512i | ||||
\(584\) | 4.05120 | + | 7.01688i | 0.167640 | + | 0.290361i | ||||
\(585\) | 4.00033 | − | 1.42006i | 0.165393 | − | 0.0587125i | ||||
\(586\) | −24.3570 | − | 5.17725i | −1.00618 | − | 0.213870i | ||||
\(587\) | −4.59050 | − | 5.09827i | −0.189470 | − | 0.210428i | 0.640924 | − | 0.767604i | \(-0.278551\pi\) |
−0.830394 | + | 0.557176i | \(0.811885\pi\) | |||||||
\(588\) | −3.94163 | + | 6.82711i | −0.162550 | + | 0.281545i | ||||
\(589\) | −0.0776287 | + | 0.704061i | −0.00319863 | + | 0.0290103i | ||||
\(590\) | −0.00402917 | −0.000165878 | ||||||||
\(591\) | −9.48033 | + | 2.01511i | −0.389969 | + | 0.0828904i | ||||
\(592\) | −2.58939 | − | 7.96932i | −0.106423 | − | 0.327537i | ||||
\(593\) | −9.71503 | − | 7.05838i | −0.398949 | − | 0.289853i | 0.370164 | − | 0.928966i | \(-0.379301\pi\) |
−0.769113 | + | 0.639113i | \(0.779301\pi\) | |||||||
\(594\) | −0.156825 | + | 0.271630i | −0.00643463 | + | 0.0111451i | ||||
\(595\) | 0.657356 | + | 1.13857i | 0.0269490 | + | 0.0466770i | ||||
\(596\) | 1.19572 | − | 11.3765i | 0.0489784 | − | 0.465998i | ||||
\(597\) | −31.9833 | + | 23.2372i | −1.30899 | + | 0.951036i | ||||
\(598\) | 12.0327 | − | 7.38644i | 0.492055 | − | 0.302054i | ||||
\(599\) | 23.7330 | − | 5.04460i | 0.969703 | − | 0.206117i | 0.304279 | − | 0.952583i | \(-0.401584\pi\) |
0.665423 | + | 0.746466i | \(0.268251\pi\) | |||||||
\(600\) | 28.5035 | + | 20.7090i | 1.16365 | + | 0.845440i | ||||
\(601\) | 13.1173 | − | 2.78817i | 0.535066 | − | 0.113732i | 0.0675492 | − | 0.997716i | \(-0.478482\pi\) |
0.467517 | + | 0.883984i | \(0.345149\pi\) | |||||||
\(602\) | 1.67853 | + | 0.356782i | 0.0684116 | + | 0.0145413i | ||||
\(603\) | 2.35552 | + | 22.4113i | 0.0959244 | + | 0.912660i | ||||
\(604\) | 5.22469 | − | 5.80261i | 0.212590 | − | 0.236105i | ||||
\(605\) | −3.21069 | + | 3.56583i | −0.130533 | + | 0.144972i | ||||
\(606\) | −3.58859 | − | 34.1431i | −0.145776 | − | 1.38697i | ||||
\(607\) | 3.57541 | + | 0.759978i | 0.145122 | + | 0.0308466i | 0.279900 | − | 0.960029i | \(-0.409699\pi\) |
−0.134778 | + | 0.990876i | \(0.543032\pi\) | |||||||
\(608\) | −0.453239 | + | 0.0963388i | −0.0183813 | + | 0.00390706i | ||||
\(609\) | −13.0152 | − | 9.45610i | −0.527402 | − | 0.383180i | ||||
\(610\) | 0.947396 | − | 0.201375i | 0.0383589 | − | 0.00815344i | ||||
\(611\) | 0.0985341 | + | 3.65516i | 0.00398626 | + | 0.147872i | ||||
\(612\) | −3.00084 | + | 2.18023i | −0.121302 | + | 0.0881308i | ||||
\(613\) | 3.81765 | − | 36.3225i | 0.154193 | − | 1.46705i | −0.594479 | − | 0.804111i | \(-0.702642\pi\) |
0.748672 | − | 0.662940i | \(-0.230692\pi\) | |||||||
\(614\) | −4.26117 | − | 7.38056i | −0.171967 | − | 0.297855i | ||||
\(615\) | 0.808931 | − | 1.40111i | 0.0326192 | − | 0.0564982i | ||||
\(616\) | −1.25400 | − | 0.911081i | −0.0505249 | − | 0.0367085i | ||||
\(617\) | −12.8234 | − | 39.4665i | −0.516252 | − | 1.58886i | −0.780992 | − | 0.624541i | \(-0.785286\pi\) |
0.264740 | − | 0.964320i | \(-0.414714\pi\) | |||||||
\(618\) | −14.9203 | + | 3.17141i | −0.600184 | + | 0.127573i | ||||
\(619\) | 23.5106 | 0.944969 | 0.472485 | − | 0.881339i | \(-0.343357\pi\) | ||||
0.472485 | + | 0.881339i | \(0.343357\pi\) | |||||||
\(620\) | −1.34998 | + | 0.970345i | −0.0542163 | + | 0.0389700i | ||||
\(621\) | 1.33950 | − | 2.32008i | 0.0537522 | − | 0.0931015i | ||||
\(622\) | 3.69345 | + | 4.10199i | 0.148094 | + | 0.164475i | ||||
\(623\) | −17.3038 | − | 3.67803i | −0.693261 | − | 0.147357i | ||||
\(624\) | −17.6977 | + | 6.28244i | −0.708474 | + | 0.251499i | ||||
\(625\) | −11.0601 | − | 19.1567i | −0.442406 | − | 0.766269i | ||||
\(626\) | −13.2924 | − | 23.0231i | −0.531271 | − | 0.920189i | ||||
\(627\) | 0.0109731 | − | 0.104402i | 0.000438222 | − | 0.00416940i | ||||
\(628\) | 4.47805 | + | 1.99376i | 0.178694 | + | 0.0795596i | ||||
\(629\) | −7.18168 | − | 3.19749i | −0.286352 | − | 0.127492i | ||||
\(630\) | −1.31620 | − | 1.46179i | −0.0524387 | − | 0.0582390i | ||||
\(631\) | −31.0733 | + | 13.8347i | −1.23701 | + | 0.550751i | −0.917841 | − | 0.396948i | \(-0.870069\pi\) |
−0.319166 | + | 0.947699i | \(0.603403\pi\) | |||||||
\(632\) | 6.22792 | + | 6.91680i | 0.247733 | + | 0.275136i | ||||
\(633\) | 38.1677 | + | 8.11279i | 1.51703 | + | 0.322454i | ||||
\(634\) | −17.7650 | − | 7.90949i | −0.705539 | − | 0.314126i | ||||
\(635\) | 8.02579 | + | 1.70593i | 0.318494 | + | 0.0676979i | ||||
\(636\) | −1.19241 | − | 3.66985i | −0.0472820 | − | 0.145519i | ||||
\(637\) | 0.475117 | + | 17.6247i | 0.0188248 | + | 0.698314i | ||||
\(638\) | −1.24058 | + | 1.37780i | −0.0491149 | + | 0.0545476i | ||||
\(639\) | 28.5798 | − | 6.07483i | 1.13060 | − | 0.240317i | ||||
\(640\) | 0.915547 | + | 0.665184i | 0.0361902 | + | 0.0262937i | ||||
\(641\) | −3.04670 | − | 3.38371i | −0.120338 | − | 0.133648i | 0.679965 | − | 0.733244i | \(-0.261995\pi\) |
−0.800303 | + | 0.599596i | \(0.795328\pi\) | |||||||
\(642\) | −31.0879 | − | 13.8412i | −1.22694 | − | 0.546270i | ||||
\(643\) | 1.70196 | + | 0.757762i | 0.0671188 | + | 0.0298832i | 0.440021 | − | 0.897987i | \(-0.354971\pi\) |
−0.372903 | + | 0.927870i | \(0.621637\pi\) | |||||||
\(644\) | 2.70888 | + | 1.96811i | 0.106745 | + | 0.0775546i | ||||
\(645\) | −0.539281 | + | 0.934063i | −0.0212342 | + | 0.0367787i | ||||
\(646\) | 0.150147 | − | 0.260063i | 0.00590747 | − | 0.0102320i | ||||
\(647\) | −3.32709 | + | 1.48132i | −0.130801 | + | 0.0582366i | −0.471094 | − | 0.882083i | \(-0.656141\pi\) |
0.340292 | + | 0.940320i | \(0.389474\pi\) | |||||||
\(648\) | −20.3607 | + | 22.6129i | −0.799844 | + | 0.888317i | ||||
\(649\) | 0.000850613 | − | 0.00261792i | 3.33895e−5 | − | 0.000102762i | ||||
\(650\) | 19.8685 | + | 1.54827i | 0.779308 | + | 0.0607283i | ||||
\(651\) | −17.6322 | + | 7.74296i | −0.691061 | + | 0.303471i | ||||
\(652\) | −1.31380 | + | 2.27558i | −0.0514525 | + | 0.0891184i | ||||
\(653\) | −14.4258 | − | 16.0215i | −0.564526 | − | 0.626970i | 0.391526 | − | 0.920167i | \(-0.371947\pi\) |
−0.956052 | + | 0.293197i | \(0.905281\pi\) | |||||||
\(654\) | 1.20733 | + | 3.71577i | 0.0472103 | + | 0.145298i | ||||
\(655\) | 2.04139 | + | 1.48316i | 0.0797637 | + | 0.0579517i | ||||
\(656\) | −1.68507 | + | 2.91863i | −0.0657910 | + | 0.113953i | ||||
\(657\) | −7.02457 | −0.274054 | ||||||||
\(658\) | 1.54788 | − | 0.689160i | 0.0603426 | − | 0.0268662i | ||||
\(659\) | −36.6389 | − | 16.3127i | −1.42725 | − | 0.635453i | −0.459687 | − | 0.888081i | \(-0.652038\pi\) |
−0.967563 | + | 0.252628i | \(0.918705\pi\) | |||||||
\(660\) | 0.199336 | − | 0.144826i | 0.00775914 | − | 0.00563735i | ||||
\(661\) | 10.4264 | − | 32.0890i | 0.405538 | − | 1.24812i | −0.514907 | − | 0.857246i | \(-0.672174\pi\) |
0.920445 | − | 0.390872i | \(-0.127826\pi\) | |||||||
\(662\) | −0.471250 | + | 4.48364i | −0.0183156 | + | 0.174262i | ||||
\(663\) | −6.72976 | + | 16.2826i | −0.261362 | + | 0.632363i | ||||
\(664\) | −12.2347 | + | 13.5880i | −0.474797 | + | 0.527315i | ||||
\(665\) | −0.0744543 | − | 0.0331492i | −0.00288721 | − | 0.00128547i | ||||
\(666\) | 11.5048 | + | 2.44543i | 0.445804 | + | 0.0947585i | ||||
\(667\) | 10.5962 | − | 11.7682i | 0.410285 | − | 0.455668i | ||||
\(668\) | 1.39704 | + | 13.2920i | 0.0540532 | + | 0.514282i | ||||
\(669\) | −23.4241 | − | 4.97894i | −0.905627 | − | 0.192497i | ||||
\(670\) | 1.32323 | − | 4.07247i | 0.0511207 | − | 0.157333i | ||||
\(671\) | −0.0691664 | + | 0.658074i | −0.00267014 | + | 0.0254047i | ||||
\(672\) | −8.42941 | − | 9.36181i | −0.325172 | − | 0.361140i | ||||
\(673\) | 5.39788 | − | 3.92179i | 0.208073 | − | 0.151174i | −0.478869 | − | 0.877887i | \(-0.658953\pi\) |
0.686941 | + | 0.726713i | \(0.258953\pi\) | |||||||
\(674\) | −3.20184 | − | 30.4635i | −0.123330 | − | 1.17341i | ||||
\(675\) | 3.45445 | − | 1.53802i | 0.132962 | − | 0.0591984i | ||||
\(676\) | 5.52857 | − | 6.84878i | 0.212637 | − | 0.263415i | ||||
\(677\) | 18.2423 | + | 31.5965i | 0.701108 | + | 1.21435i | 0.968078 | + | 0.250649i | \(0.0806440\pi\) |
−0.266970 | + | 0.963705i | \(0.586023\pi\) | |||||||
\(678\) | −41.4726 | + | 18.4648i | −1.59274 | + | 0.709136i | ||||
\(679\) | −0.241773 | + | 0.268516i | −0.00927840 | + | 0.0103047i | ||||
\(680\) | 2.72596 | − | 0.579421i | 0.104536 | − | 0.0222198i | ||||
\(681\) | 31.0909 | 1.19141 | ||||||||
\(682\) | 0.675040 | + | 2.11415i | 0.0258486 | + | 0.0809551i | ||||
\(683\) | −2.39172 | − | 4.14259i | −0.0915168 | − | 0.158512i | 0.816633 | − | 0.577158i | \(-0.195838\pi\) |
−0.908150 | + | 0.418646i | \(0.862505\pi\) | |||||||
\(684\) | 0.0710552 | − | 0.218685i | 0.00271686 | − | 0.00836165i | ||||
\(685\) | 0.632510 | + | 1.94667i | 0.0241670 | + | 0.0743783i | ||||
\(686\) | 18.1479 | − | 8.07995i | 0.692888 | − | 0.308494i | ||||
\(687\) | 52.1257 | 1.98872 | ||||||||
\(688\) | 1.12337 | − | 1.94573i | 0.0428281 | − | 0.0741804i | ||||
\(689\) | −6.56667 | − | 5.59972i | −0.250170 | − | 0.213332i | ||||
\(690\) | 3.32679 | − | 2.41706i | 0.126649 | − | 0.0920158i | ||||
\(691\) | 31.1638 | − | 22.6418i | 1.18553 | − | 0.861335i | 0.192742 | − | 0.981250i | \(-0.438262\pi\) |
0.992784 | + | 0.119915i | \(0.0382621\pi\) | |||||||
\(692\) | −4.40631 | + | 13.5612i | −0.167503 | + | 0.515521i | ||||
\(693\) | 1.22765 | − | 0.546585i | 0.0466346 | − | 0.0207630i | ||||
\(694\) | −14.1530 | − | 15.7185i | −0.537239 | − | 0.596664i | ||||
\(695\) | −4.63086 | − | 0.984320i | −0.175659 | − | 0.0373374i | ||||
\(696\) | −27.5890 | + | 20.0445i | −1.04576 | + | 0.759787i | ||||
\(697\) | 0.977039 | + | 3.00702i | 0.0370080 | + | 0.113899i | ||||
\(698\) | −20.3788 | + | 22.6330i | −0.771349 | + | 0.856670i | ||||
\(699\) | −10.8935 | − | 4.85011i | −0.412031 | − | 0.183448i | ||||
\(700\) | 1.46046 | + | 4.49484i | 0.0552003 | + | 0.169889i | ||||
\(701\) | 4.35879 | + | 4.84093i | 0.164629 | + | 0.182839i | 0.819815 | − | 0.572629i | \(-0.194076\pi\) |
−0.655186 | + | 0.755468i | \(0.727410\pi\) | |||||||
\(702\) | −0.592208 | + | 3.20908i | −0.0223515 | + | 0.121119i | ||||
\(703\) | 0.476683 | − | 0.101322i | 0.0179784 | − | 0.00382143i | ||||
\(704\) | −2.40111 | + | 1.74451i | −0.0904953 | + | 0.0657487i | ||||
\(705\) | 0.111317 | + | 1.05911i | 0.00419245 | + | 0.0398885i | ||||
\(706\) | 18.7574 | + | 13.6281i | 0.705945 | + | 0.512899i | ||||
\(707\) | 9.10456 | − | 15.7696i | 0.342412 | − | 0.593075i | ||||
\(708\) | 0.00640254 | − | 0.0110895i | 0.000240622 | − | 0.000416770i | ||||
\(709\) | −4.09415 | + | 38.9532i | −0.153759 | + | 1.46292i | 0.596946 | + | 0.802281i | \(0.296380\pi\) |
−0.750705 | + | 0.660637i | \(0.770286\pi\) | |||||||
\(710\) | −5.43073 | − | 1.15434i | −0.203812 | − | 0.0433215i | ||||
\(711\) | −7.89301 | + | 1.67771i | −0.296011 | + | 0.0629191i | ||||
\(712\) | −18.7495 | + | 32.4752i | −0.702669 | + | 1.21706i | ||||
\(713\) | −5.76574 | − | 18.0577i | −0.215929 | − | 0.676265i | ||||
\(714\) | 8.16417 | 0.305536 | ||||||||
\(715\) | 0.210490 | − | 0.509277i | 0.00787187 | − | 0.0190459i | ||||
\(716\) | 9.38794 | + | 1.99547i | 0.350844 | + | 0.0745742i | ||||
\(717\) | −22.6988 | + | 10.1062i | −0.847704 | + | 0.377422i | ||||
\(718\) | 8.73211 | 0.325880 | ||||||||
\(719\) | 7.25150 | 0.270435 | 0.135218 | − | 0.990816i | \(-0.456827\pi\) | ||||
0.135218 | + | 0.990816i | \(0.456827\pi\) | |||||||
\(720\) | −2.35272 | + | 1.04750i | −0.0876807 | + | 0.0390380i | ||||
\(721\) | −7.39102 | − | 3.29069i | −0.275256 | − | 0.122552i | ||||
\(722\) | −2.28238 | − | 21.7154i | −0.0849415 | − | 0.808164i | ||||
\(723\) | 35.4403 | − | 7.53307i | 1.31804 | − | 0.280158i | ||||
\(724\) | 0.490940 | − | 0.218581i | 0.0182456 | − | 0.00812348i | ||||
\(725\) | 21.8635 | − | 4.64722i | 0.811988 | − | 0.172593i | ||||
\(726\) | 9.20770 | + | 28.3384i | 0.341730 | + | 1.05174i | ||||
\(727\) | −1.78061 | − | 16.9414i | −0.0660392 | − | 0.628321i | −0.976617 | − | 0.214984i | \(-0.931030\pi\) |
0.910578 | − | 0.413337i | \(-0.135637\pi\) | |||||||
\(728\) | −15.4661 | − | 4.56829i | −0.573210 | − | 0.169312i | ||||
\(729\) | −6.41517 | − | 19.7439i | −0.237599 | − | 0.731254i | ||||
\(730\) | 1.21941 | + | 0.542915i | 0.0451322 | + | 0.0200942i | ||||
\(731\) | −0.651353 | − | 2.00466i | −0.0240911 | − | 0.0741449i | ||||
\(732\) | −0.951209 | + | 2.92752i | −0.0351577 | + | 0.108204i | ||||
\(733\) | 0.167048 | − | 1.58936i | 0.00617007 | − | 0.0587043i | −0.991004 | − | 0.133835i | \(-0.957271\pi\) |
0.997174 | + | 0.0751308i | \(0.0239374\pi\) | |||||||
\(734\) | 8.43748 | + | 9.37077i | 0.311433 | + | 0.345882i | ||||
\(735\) | 0.536756 | + | 5.10689i | 0.0197986 | + | 0.188371i | ||||
\(736\) | 10.0320 | − | 7.28869i | 0.369785 | − | 0.268665i | ||||
\(737\) | 2.36670 | + | 1.71951i | 0.0871784 | + | 0.0633388i | ||||
\(738\) | −2.36527 | − | 4.09676i | −0.0870666 | − | 0.150804i | ||||
\(739\) | 6.28632 | 0.231246 | 0.115623 | − | 0.993293i | \(-0.463114\pi\) | ||||
0.115623 | + | 0.993293i | \(0.463114\pi\) | |||||||
\(740\) | 0.925375 | + | 0.672324i | 0.0340175 | + | 0.0247151i | ||||
\(741\) | −0.255786 | − | 1.06182i | −0.00939652 | − | 0.0390068i | ||||
\(742\) | −1.23577 | + | 3.80332i | −0.0453667 | + | 0.139624i | ||||
\(743\) | −8.96476 | + | 15.5274i | −0.328885 | + | 0.569646i | −0.982291 | − | 0.187362i | \(-0.940006\pi\) |
0.653406 | + | 0.757008i | \(0.273340\pi\) | |||||||
\(744\) | 4.06004 | + | 40.6185i | 0.148848 | + | 1.48915i | ||||
\(745\) | −3.72563 | − | 6.45298i | −0.136497 | − | 0.236419i | ||||
\(746\) | 4.89851 | − | 15.0760i | 0.179347 | − | 0.551973i | ||||
\(747\) | −4.89857 | − | 15.0763i | −0.179229 | − | 0.551611i | ||||
\(748\) | −0.0503328 | + | 0.478885i | −0.00184035 | + | 0.0175098i | ||||
\(749\) | −9.02467 | − | 15.6312i | −0.329754 | − | 0.571151i | ||||
\(750\) | 11.8434 | 0.432459 | ||||||||
\(751\) | −3.43265 | + | 32.6595i | −0.125259 | + | 1.19176i | 0.733611 | + | 0.679570i | \(0.237833\pi\) |
−0.858870 | + | 0.512193i | \(0.828833\pi\) | |||||||
\(752\) | −0.231884 | − | 2.20623i | −0.00845593 | − | 0.0804528i | ||||
\(753\) | 14.4076 | + | 6.41470i | 0.525044 | + | 0.233765i | ||||
\(754\) | −7.36798 | + | 17.8267i | −0.268326 | + | 0.649212i | ||||
\(755\) | 0.531644 | − | 5.05825i | 0.0193485 | − | 0.184089i | ||||
\(756\) | −0.756980 | + | 0.160901i | −0.0275311 | + | 0.00585191i | ||||
\(757\) | 15.7690 | + | 48.5321i | 0.573135 | + | 1.76393i | 0.642444 | + | 0.766333i | \(0.277921\pi\) |
−0.0693090 | + | 0.997595i | \(0.522079\pi\) | |||||||
\(758\) | −4.00462 | + | 2.90953i | −0.145454 | + | 0.105679i | ||||
\(759\) | 0.868128 | + | 2.67182i | 0.0315110 | + | 0.0969810i | ||||
\(760\) | −0.115599 | + | 0.128386i | −0.00419322 | + | 0.00465705i | ||||
\(761\) | 17.6203 | − | 12.8019i | 0.638735 | − | 0.464068i | −0.220680 | − | 0.975346i | \(-0.570828\pi\) |
0.859416 | + | 0.511278i | \(0.170828\pi\) | |||||||
\(762\) | 34.0938 | − | 37.8650i | 1.23509 | − | 1.37170i | ||||
\(763\) | −0.640362 | + | 1.97083i | −0.0231826 | + | 0.0713488i | ||||
\(764\) | 1.87501 | + | 1.36228i | 0.0678357 | + | 0.0492855i | ||||
\(765\) | −0.746627 | + | 2.29788i | −0.0269943 | + | 0.0830800i | ||||
\(766\) | −0.882120 | − | 0.392745i | −0.0318723 | − | 0.0141905i | ||||
\(767\) | −0.000771751 | − | 0.0286284i | −2.78663e−5 | − | 0.00103371i | ||||
\(768\) | −30.8382 | + | 13.7301i | −1.11278 | + | 0.495441i | ||||
\(769\) | −16.2186 | − | 28.0915i | −0.584858 | − | 1.01300i | −0.994893 | − | 0.100935i | \(-0.967817\pi\) |
0.410035 | − | 0.912070i | \(-0.365517\pi\) | |||||||
\(770\) | −0.255354 | −0.00920232 | ||||||||
\(771\) | −3.46414 | + | 32.9591i | −0.124758 | + | 1.18699i | ||||
\(772\) | −11.5508 | − | 2.45519i | −0.415721 | − | 0.0883642i | ||||
\(773\) | −4.25679 | + | 0.904810i | −0.153106 | + | 0.0325437i | −0.283827 | − | 0.958875i | \(-0.591604\pi\) |
0.130721 | + | 0.991419i | \(0.458271\pi\) | |||||||
\(774\) | 1.57683 | + | 2.73114i | 0.0566779 | + | 0.0981690i | ||||
\(775\) | 8.39757 | − | 25.4039i | 0.301649 | − | 0.912535i | ||||
\(776\) | 0.382958 | + | 0.663303i | 0.0137474 | + | 0.0238112i | ||||
\(777\) | 8.86543 | + | 9.84606i | 0.318045 | + | 0.353225i | ||||
\(778\) | −5.30262 | + | 5.88916i | −0.190108 | + | 0.211137i | ||||
\(779\) | −0.158568 | − | 0.115207i | −0.00568130 | − | 0.00412771i | ||||
\(780\) | 1.45035 | − | 2.11377i | 0.0519310 | − | 0.0756850i | ||||
\(781\) | 1.89652 | − | 3.28487i | 0.0678628 | − | 0.117542i | ||||
\(782\) | −0.840023 | + | 7.99228i | −0.0300391 | + | 0.285803i | ||||
\(783\) | 0.382578 | + | 3.63999i | 0.0136722 | + | 0.130083i | ||||
\(784\) | −1.11811 | − | 10.6381i | −0.0399325 | − | 0.379932i | ||||
\(785\) | 3.12320 | − | 0.663857i | 0.111472 | − | 0.0236941i | ||||
\(786\) | 14.3146 | − | 6.37328i | 0.510586 | − | 0.227327i | ||||
\(787\) | 0.967236 | − | 2.97685i | 0.0344782 | − | 0.106113i | −0.932336 | − | 0.361592i | \(-0.882233\pi\) |
0.966815 | + | 0.255479i | \(0.0822332\pi\) | |||||||
\(788\) | −1.84409 | + | 2.04807i | −0.0656931 | + | 0.0729595i | ||||
\(789\) | −43.2923 | + | 31.4537i | −1.54125 | + | 1.11978i | ||||
\(790\) | 1.49983 | + | 0.318798i | 0.0533614 | + | 0.0113423i | ||||
\(791\) | −23.5524 | − | 5.00622i | −0.837427 | − | 0.178001i | ||||
\(792\) | −0.297758 | − | 2.83298i | −0.0105804 | − | 0.100665i | ||||
\(793\) | 1.61229 | + | 6.69294i | 0.0572542 | + | 0.237673i | ||||
\(794\) | −16.1525 | − | 17.9392i | −0.573231 | − | 0.636638i | ||||
\(795\) | −2.03346 | − | 1.47740i | −0.0721195 | − | 0.0523978i | ||||
\(796\) | −3.47376 | + | 10.6911i | −0.123124 | + | 0.378938i | ||||
\(797\) | −3.83572 | − | 36.4945i | −0.135868 | − | 1.29270i | −0.823781 | − | 0.566907i | \(-0.808140\pi\) |
0.687913 | − | 0.725793i | \(-0.258527\pi\) | |||||||
\(798\) | −0.409448 | + | 0.297481i | −0.0144943 | + | 0.0105307i | ||||
\(799\) | −1.68374 | − | 1.22331i | −0.0595664 | − | 0.0432775i | ||||
\(800\) | 17.5028 | 0.618817 | ||||||||
\(801\) | −16.2554 | − | 28.1551i | −0.574355 | − | 0.994812i | ||||
\(802\) | −2.99281 | + | 28.4747i | −0.105680 | + | 1.00548i | ||||
\(803\) | −0.610186 | + | 0.677680i | −0.0215330 | + | 0.0239148i | ||||
\(804\) | 9.10603 | + | 10.1133i | 0.321145 | + | 0.356668i | ||||
\(805\) | 2.18106 | 0.0768723 | ||||||||
\(806\) | 13.9769 | + | 18.3791i | 0.492316 | + | 0.647376i | ||||
\(807\) | 52.5101 | 1.84844 | ||||||||
\(808\) | −25.8276 | − | 28.6845i | −0.908612 | − | 1.00912i | ||||
\(809\) | −0.957895 | + | 1.06385i | −0.0336778 | + | 0.0374030i | −0.759748 | − | 0.650217i | \(-0.774678\pi\) |
0.726071 | + | 0.687620i | \(0.241345\pi\) | |||||||
\(810\) | −0.523988 | + | 4.98541i | −0.0184111 | + | 0.175170i | ||||
\(811\) | −26.3602 | − | 45.6571i | −0.925630 | − | 1.60324i | −0.790544 | − | 0.612405i | \(-0.790202\pi\) |
−0.135086 | − | 0.990834i | \(-0.543131\pi\) | |||||||
\(812\) | −4.57452 | −0.160534 | ||||||||
\(813\) | 14.8765 | + | 10.8084i | 0.521743 | + | 0.379068i | ||||
\(814\) | 1.23528 | − | 0.897484i | 0.0432966 | − | 0.0314568i | ||||
\(815\) | 0.178909 | + | 1.70220i | 0.00626690 | + | 0.0596256i | ||||
\(816\) | 3.30311 | − | 10.1659i | 0.115632 | − | 0.355879i | ||||
\(817\) | 0.105711 | + | 0.0768036i | 0.00369836 | + | 0.00268702i | ||||
\(818\) | −5.44589 | − | 6.04828i | −0.190411 | − | 0.211473i | ||||
\(819\) | 10.1343 | − | 9.63196i | 0.354121 | − | 0.336568i | ||||
\(820\) | −0.0480871 | − | 0.457518i | −0.00167927 | − | 0.0159772i | ||||
\(821\) | 23.6069 | + | 5.01780i | 0.823887 | + | 0.175123i | 0.600518 | − | 0.799611i | \(-0.294961\pi\) |
0.223369 | + | 0.974734i | \(0.428295\pi\) | |||||||
\(822\) | 12.4328 | + | 2.64268i | 0.433645 | + | 0.0921742i | ||||
\(823\) | 28.3733 | − | 20.6144i | 0.989031 | − | 0.718573i | 0.0293220 | − | 0.999570i | \(-0.490665\pi\) |
0.959709 | + | 0.280997i | \(0.0906652\pi\) | |||||||
\(824\) | −11.4754 | + | 12.7448i | −0.399766 | + | 0.443985i | ||||
\(825\) | −1.22535 | + | 3.77124i | −0.0426612 | + | 0.131298i | ||||
\(826\) | −0.0121235 | + | 0.00539772i | −0.000421830 | + | 0.000187811i | ||||
\(827\) | 8.39090 | − | 1.78354i | 0.291780 | − | 0.0620198i | −0.0596961 | − | 0.998217i | \(-0.519013\pi\) |
0.351476 | + | 0.936197i | \(0.385680\pi\) | |||||||
\(828\) | 0.643216 | + | 6.11979i | 0.0223533 | + | 0.212677i | ||||
\(829\) | 2.13145 | + | 20.2794i | 0.0740283 | + | 0.704332i | 0.967096 | + | 0.254410i | \(0.0818814\pi\) |
−0.893068 | + | 0.449922i | \(0.851452\pi\) | |||||||
\(830\) | −0.314862 | + | 2.99571i | −0.0109290 | + | 0.103983i | ||||
\(831\) | −2.25235 | + | 3.90118i | −0.0781330 | + | 0.135330i | ||||
\(832\) | −17.4703 | + | 25.4615i | −0.605674 | + | 0.882718i | ||||
\(833\) | −8.11874 | − | 5.89861i | −0.281298 | − | 0.204375i | ||||
\(834\) | −19.6720 | + | 21.8480i | −0.681187 | + | 0.756535i | ||||
\(835\) | 5.82536 | + | 6.46972i | 0.201595 | + | 0.223894i | ||||
\(836\) | −0.0149250 | − | 0.0258509i | −0.000516193 | − | 0.000894073i | ||||
\(837\) | 3.99327 | + | 1.80236i | 0.138028 | + | 0.0622985i | ||||
\(838\) | 14.1795 | + | 24.5597i | 0.489824 | + | 0.848400i | ||||
\(839\) | −15.8261 | + | 3.36394i | −0.546377 | + | 0.116136i | −0.472827 | − | 0.881155i | \(-0.656766\pi\) |
−0.0735506 | + | 0.997291i | \(0.523433\pi\) | |||||||
\(840\) | −4.59423 | − | 0.976533i | −0.158516 | − | 0.0336936i | ||||
\(841\) | 0.769878 | − | 7.32490i | 0.0265475 | − | 0.252583i | ||||
\(842\) | 35.4018 | 1.22003 | ||||||||
\(843\) | 35.2791 | + | 61.1052i | 1.21508 | + | 2.10458i | ||||
\(844\) | 10.1362 | − | 4.51291i | 0.348901 | − | 0.155341i | ||||
\(845\) | 0.291229 | − | 5.72591i | 0.0100186 | − | 0.196977i | ||||
\(846\) | 2.84464 | + | 1.26652i | 0.0978007 | + | 0.0435437i | ||||
\(847\) | −4.88372 | + | 15.0306i | −0.167807 | + | 0.516456i | ||||
\(848\) | 4.23588 | + | 3.07754i | 0.145461 | + | 0.105683i | ||||
\(849\) | 9.15071 | − | 28.1630i | 0.314051 | − | 0.966551i | ||||
\(850\) | −7.59004 | + | 8.42959i | −0.260336 | + | 0.289133i | ||||
\(851\) | −10.5509 | + | 7.66570i | −0.361681 | + | 0.262777i | ||||
\(852\) | 11.8068 | − | 13.1128i | 0.404494 | − | 0.449236i | ||||
\(853\) | −5.72928 | − | 17.6329i | −0.196167 | − | 0.603739i | −0.999961 | − | 0.00883170i | \(-0.997189\pi\) |
0.803794 | − | 0.594907i | \(-0.202811\pi\) | |||||||
\(854\) | 2.58087 | − | 1.87511i | 0.0883155 | − | 0.0641650i | ||||
\(855\) | −0.0462842 | − | 0.142448i | −0.00158289 | − | 0.00487162i | ||||
\(856\) | −37.4240 | + | 7.95472i | −1.27913 | + | 0.271887i | ||||
\(857\) | 1.96128 | − | 18.6603i | 0.0669960 | − | 0.637424i | −0.908572 | − | 0.417728i | \(-0.862827\pi\) |
0.975568 | − | 0.219697i | \(-0.0705068\pi\) | |||||||
\(858\) | −2.08528 | − | 2.71326i | −0.0711904 | − | 0.0926291i | ||||
\(859\) | 50.5022 | + | 22.4850i | 1.72311 | + | 0.767180i | 0.996810 | + | 0.0798054i | \(0.0254299\pi\) |
0.726303 | + | 0.687374i | \(0.241237\pi\) | |||||||
\(860\) | 0.0320577 | + | 0.305009i | 0.00109316 | + | 0.0104007i | ||||
\(861\) | 0.557002 | − | 5.29952i | 0.0189826 | − | 0.180607i | ||||
\(862\) | 22.8750 | 0.779127 | ||||||||
\(863\) | 6.82548 | + | 11.8221i | 0.232342 | + | 0.402428i | 0.958497 | − | 0.285103i | \(-0.0920278\pi\) |
−0.726155 | + | 0.687531i | \(0.758694\pi\) | |||||||
\(864\) | −0.299581 | + | 2.85032i | −0.0101919 | + | 0.0969698i | ||||
\(865\) | 2.87020 | + | 8.83356i | 0.0975897 | + | 0.300350i | ||||
\(866\) | 0.536700 | − | 1.65179i | 0.0182378 | − | 0.0561302i | ||||
\(867\) | 15.2251 | + | 26.3706i | 0.517070 | + | 0.895592i | ||||
\(868\) | −2.76205 | + | 4.72820i | −0.0937500 | + | 0.160486i | ||||
\(869\) | −0.523769 | + | 0.907195i | −0.0177677 | + | 0.0307745i | ||||
\(870\) | −1.73606 | + | 5.34304i | −0.0588579 | + | 0.181146i | ||||
\(871\) | 29.1895 | + | 8.62185i | 0.989048 | + | 0.292140i | ||||
\(872\) | 3.55373 | + | 2.58194i | 0.120345 | + | 0.0874355i | ||||
\(873\) | −0.664030 | −0.0224740 | ||||||||
\(874\) | −0.249090 | − | 0.431436i | −0.00842558 | − | 0.0145935i | ||||
\(875\) | 5.08199 | + | 3.69228i | 0.171803 | + | 0.124822i | ||||
\(876\) | −3.43196 | + | 2.49347i | −0.115955 | + | 0.0842464i | ||||
\(877\) | −1.81605 | − | 17.2785i | −0.0613236 | − | 0.583455i | −0.981435 | − | 0.191797i | \(-0.938568\pi\) |
0.920111 | − | 0.391658i | \(-0.128098\pi\) | |||||||
\(878\) | 28.5953 | + | 31.7583i | 0.965045 | + | 1.07179i | ||||
\(879\) | 5.38837 | − | 51.2670i | 0.181745 | − | 1.72919i | ||||
\(880\) | −0.103313 | + | 0.317964i | −0.00348268 | + | 0.0107186i | ||||
\(881\) | −1.97003 | − | 6.06312i | −0.0663720 | − | 0.204272i | 0.912370 | − | 0.409366i | \(-0.134250\pi\) |
−0.978742 | + | 0.205094i | \(0.934250\pi\) | |||||||
\(882\) | 13.7164 | + | 6.10695i | 0.461857 | + | 0.205632i | ||||
\(883\) | −1.17901 | − | 3.62863i | −0.0396770 | − | 0.122113i | 0.929256 | − | 0.369436i | \(-0.120449\pi\) |
−0.968933 | + | 0.247323i | \(0.920449\pi\) | |||||||
\(884\) | 1.17327 | + | 4.87049i | 0.0394615 | + | 0.163812i | ||||
\(885\) | −0.000871874 | − | 0.00829533i | −2.93077e−5 | − | 0.000278844i | ||||
\(886\) | 7.65565 | + | 23.5617i | 0.257197 | + | 0.791569i | ||||
\(887\) | 40.6269 | − | 8.63552i | 1.36412 | − | 0.289952i | 0.533032 | − | 0.846095i | \(-0.321053\pi\) |
0.831087 | + | 0.556143i | \(0.187719\pi\) | |||||||
\(888\) | 25.6569 | − | 11.4232i | 0.860988 | − | 0.383336i | ||||
\(889\) | 26.4344 | − | 5.61880i | 0.886580 | − | 0.188448i | ||||
\(890\) | 0.645743 | + | 6.14384i | 0.0216454 | + | 0.205942i | ||||
\(891\) | −3.12860 | − | 1.39294i | −0.104812 | − | 0.0466654i | ||||
\(892\) | −6.22072 | + | 2.76964i | −0.208285 | + | 0.0927345i | ||||
\(893\) | 0.129017 | 0.00431738 | ||||||||
\(894\) | −46.2712 | −1.54754 | ||||||||
\(895\) | 5.71127 | − | 2.54282i | 0.190907 | − | 0.0849972i | ||||
\(896\) | 3.64593 | + | 0.774967i | 0.121802 | + | 0.0258898i | ||||
\(897\) | 17.8111 | + | 23.1748i | 0.594694 | + | 0.773785i | ||||
\(898\) | −34.8714 | −1.16367 | ||||||||
\(899\) | 20.8736 | + | 15.3287i | 0.696175 | + | 0.511240i | ||||
\(900\) | −4.34279 | + | 7.52193i | −0.144760 | + | 0.250731i | ||||
\(901\) | 4.80475 | − | 1.02128i | 0.160070 | − | 0.0340238i | ||||
\(902\) | −0.600684 | − | 0.127679i | −0.0200006 | − | 0.00425126i | ||||
\(903\) | −0.371331 | + | 3.53298i | −0.0123571 | + | 0.117570i | ||||
\(904\) | −25.5203 | + | 44.2024i | −0.848791 | + | 1.47015i | ||||
\(905\) | 0.175027 | − | 0.303155i | 0.00581809 | − | 0.0100772i | ||||
\(906\) | −25.5520 | − | 18.5646i | −0.848909 | − | 0.616768i | ||||
\(907\) | 4.03568 | + | 38.3969i | 0.134003 | + | 1.27495i | 0.830349 | + | 0.557243i | \(0.188141\pi\) |
−0.696347 | + | 0.717706i | \(0.745192\pi\) | |||||||
\(908\) | 7.15227 | − | 5.19643i | 0.237356 | − | 0.172449i | ||||
\(909\) | 32.7328 | − | 6.95758i | 1.08568 | − | 0.230768i | ||||
\(910\) | −2.50366 | + | 0.888767i | −0.0829957 | + | 0.0294624i | ||||
\(911\) | 31.1262 | + | 34.5691i | 1.03126 | + | 1.14533i | 0.989254 | + | 0.146208i | \(0.0467069\pi\) |
0.0420020 | + | 0.999118i | \(0.486626\pi\) | |||||||
\(912\) | 0.204763 | + | 0.630197i | 0.00678039 | + | 0.0208679i | ||||
\(913\) | −1.87996 | − | 0.837013i | −0.0622177 | − | 0.0277011i | ||||
\(914\) | 31.8890 | − | 35.4163i | 1.05479 | − | 1.17147i | ||||
\(915\) | 0.619602 | + | 1.90694i | 0.0204834 | + | 0.0630414i | ||||
\(916\) | 11.9912 | − | 8.71211i | 0.396200 | − | 0.287856i | ||||
\(917\) | 8.12932 | + | 1.72794i | 0.268454 | + | 0.0570616i | ||||
\(918\) | −1.24284 | − | 1.38031i | −0.0410199 | − | 0.0455572i | ||||
\(919\) | −46.5031 | + | 20.7045i | −1.53400 | + | 0.682979i | −0.987950 | − | 0.154776i | \(-0.950534\pi\) |
−0.546046 | + | 0.837755i | \(0.683868\pi\) | |||||||
\(920\) | 1.42868 | − | 4.39702i | 0.0471022 | − | 0.144966i | ||||
\(921\) | 14.2731 | − | 10.3700i | 0.470316 | − | 0.341704i | ||||
\(922\) | 12.5249 | − | 9.09987i | 0.412486 | − | 0.299688i | ||||
\(923\) | 7.16169 | − | 38.8080i | 0.235730 | − | 1.27738i | ||||
\(924\) | 0.405770 | − | 0.702813i | 0.0133488 | − | 0.0231209i | ||||
\(925\) | −18.4081 | −0.605256 | ||||||||
\(926\) | −34.0683 | + | 15.1682i | −1.11955 | + | 0.498457i | ||||
\(927\) | −4.59459 | − | 14.1407i | −0.150906 | − | 0.464442i | ||||
\(928\) | −5.23513 | + | 16.1121i | −0.171852 | + | 0.528905i | ||||
\(929\) | −8.16752 | − | 14.1466i | −0.267968 | − | 0.464134i | 0.700369 | − | 0.713781i | \(-0.253019\pi\) |
−0.968337 | + | 0.249647i | \(0.919685\pi\) | |||||||
\(930\) | 4.47433 | + | 5.02045i | 0.146719 | + | 0.164627i | ||||
\(931\) | 0.622100 | 0.0203885 | ||||||||
\(932\) | −3.31662 | + | 0.704969i | −0.108639 | + | 0.0230920i | ||||
\(933\) | −7.64601 | + | 8.49176i | −0.250319 | + | 0.278008i | ||||
\(934\) | 26.6347 | − | 11.8585i | 0.871513 | − | 0.388023i | ||||
\(935\) | 0.156828 | + | 0.271634i | 0.00512882 | + | 0.00888337i | ||||
\(936\) | −12.7797 | − | 26.7401i | −0.417717 | − | 0.874026i | ||||
\(937\) | −55.8527 | + | 24.8672i | −1.82463 | + | 0.812377i | −0.891200 | + | 0.453610i | \(0.850136\pi\) |
−0.933427 | + | 0.358767i | \(0.883197\pi\) | |||||||
\(938\) | −1.47424 | − | 14.0264i | −0.0481356 | − | 0.457979i | ||||
\(939\) | 44.5240 | − | 32.3486i | 1.45299 | − | 1.05566i | ||||
\(940\) | 0.202624 | + | 0.225037i | 0.00660888 | + | 0.00733991i | ||||
\(941\) | 2.68224 | − | 25.5198i | 0.0874386 | − | 0.831922i | −0.859636 | − | 0.510908i | \(-0.829309\pi\) |
0.947074 | − | 0.321015i | \(-0.104024\pi\) | |||||||
\(942\) | 6.12716 | − | 18.8575i | 0.199634 | − | 0.614409i | ||||
\(943\) | 5.13064 | + | 1.09055i | 0.167077 | + | 0.0355132i | ||||
\(944\) | 0.00181619 | + | 0.0172799i | 5.91119e−5 | + | 0.000562412i | ||||
\(945\) | −0.337308 | + | 0.374619i | −0.0109726 | + | 0.0121864i | ||||
\(946\) | 0.400452 | + | 0.0851187i | 0.0130198 | + | 0.00276745i | ||||
\(947\) | 3.38386 | + | 1.50659i | 0.109961 | + | 0.0489576i | 0.460980 | − | 0.887411i | \(-0.347498\pi\) |
−0.351019 | + | 0.936368i | \(0.614165\pi\) | |||||||
\(948\) | −3.26072 | + | 3.62140i | −0.105903 | + | 0.117618i | ||||
\(949\) | −3.62399 | + | 8.76821i | −0.117640 | + | 0.284628i | ||||
\(950\) | 0.0735016 | − | 0.699321i | 0.00238471 | − | 0.0226890i | ||||
\(951\) | 12.4400 | − | 38.2864i | 0.403395 | − | 1.24152i | ||||
\(952\) | 7.42598 | − | 5.39529i | 0.240677 | − | 0.174862i | ||||
\(953\) | −25.8466 | − | 11.5076i | −0.837253 | − | 0.372769i | −0.0571079 | − | 0.998368i | \(-0.518188\pi\) |
−0.780145 | + | 0.625599i | \(0.784855\pi\) | |||||||
\(954\) | −6.71394 | + | 2.98924i | −0.217372 | + | 0.0967801i | ||||
\(955\) | 1.50968 | 0.0488519 | ||||||||
\(956\) | −3.53261 | + | 6.11867i | −0.114253 | + | 0.197892i | ||||
\(957\) | −3.10508 | − | 2.25597i | −0.100373 | − | 0.0729253i | ||||
\(958\) | 9.92551 | + | 30.5476i | 0.320679 | + | 0.986948i | ||||
\(959\) | 4.51105 | + | 5.01002i | 0.145669 | + | 0.161782i | ||||
\(960\) | −4.49670 | + | 7.78852i | −0.145131 | + | 0.251373i | ||||
\(961\) | 28.4469 | − | 12.3196i | 0.917643 | − | 0.397406i | ||||
\(962\) | 8.98781 | − | 13.0990i | 0.289779 | − | 0.422328i | ||||
\(963\) | 10.2502 | − | 31.5470i | 0.330310 | − | 1.01659i | ||||
\(964\) | 6.89377 | − | 7.65631i | 0.222033 | − | 0.246593i | ||||
\(965\) | −7.02705 | + | 3.12864i | −0.226209 | + | 0.100715i | ||||
\(966\) | 6.77204 | − | 11.7295i | 0.217887 | − | 0.377391i | ||||
\(967\) | 18.1484 | − | 31.4339i | 0.583613 | − | 1.01085i | −0.411434 | − | 0.911439i | \(-0.634972\pi\) |
0.995047 | − | 0.0994071i | \(-0.0316946\pi\) | |||||||
\(968\) | 27.1026 | + | 19.6912i | 0.871110 | + | 0.632899i | ||||
\(969\) | 0.567912 | + | 0.252851i | 0.0182440 | + | 0.00812274i | ||||
\(970\) | 0.115270 | + | 0.0513215i | 0.00370110 | + | 0.00164783i | ||||
\(971\) | −29.0262 | − | 32.2368i | −0.931495 | − | 1.03453i | −0.999321 | − | 0.0368324i | \(-0.988273\pi\) |
0.0678269 | − | 0.997697i | \(-0.478393\pi\) | |||||||
\(972\) | −11.5957 | − | 8.42477i | −0.371932 | − | 0.270225i | ||||
\(973\) | −15.2526 | + | 3.24203i | −0.488975 | + | 0.103935i | ||||
\(974\) | −25.9170 | + | 28.7837i | −0.830434 | + | 0.922290i | ||||
\(975\) | 1.11175 | + | 41.2407i | 0.0356044 | + | 1.32076i | ||||
\(976\) | −1.29068 | − | 3.97232i | −0.0413138 | − | 0.127151i | ||||
\(977\) | −29.3106 | − | 6.23016i | −0.937729 | − | 0.199320i | −0.286395 | − | 0.958112i | \(-0.592457\pi\) |
−0.651334 | + | 0.758791i | \(0.725790\pi\) | |||||||
\(978\) | 9.70976 | + | 4.32306i | 0.310484 | + | 0.138236i | ||||
\(979\) | −4.12822 | − | 0.877481i | −0.131939 | − | 0.0280444i | ||||
\(980\) | 0.977026 | + | 1.08510i | 0.0312099 | + | 0.0346622i | ||||
\(981\) | −3.47907 | + | 1.54898i | −0.111078 | + | 0.0494552i | ||||
\(982\) | −24.9830 | − | 27.7464i | −0.797239 | − | 0.885424i | ||||
\(983\) | 4.47732 | + | 1.99343i | 0.142804 | + | 0.0635806i | 0.476895 | − | 0.878961i | \(-0.341762\pi\) |
−0.334090 | + | 0.942541i | \(0.608429\pi\) | |||||||
\(984\) | −10.3190 | − | 4.59431i | −0.328957 | − | 0.146461i | ||||
\(985\) | −0.187648 | + | 1.78535i | −0.00597895 | + | 0.0568859i | ||||
\(986\) | −5.48960 | − | 9.50827i | −0.174824 | − | 0.302805i | ||||
\(987\) | 1.75380 | + | 3.03767i | 0.0558240 | + | 0.0966900i | ||||
\(988\) | −0.236310 | − | 0.201513i | −0.00751803 | − | 0.00641098i | ||||
\(989\) | −3.42039 | − | 0.727026i | −0.108762 | − | 0.0231181i | ||||
\(990\) | −0.314011 | − | 0.348744i | −0.00997991 | − | 0.0110838i | ||||
\(991\) | −5.44451 | + | 9.43017i | −0.172951 | + | 0.299559i | −0.939450 | − | 0.342686i | \(-0.888663\pi\) |
0.766499 | + | 0.642245i | \(0.221997\pi\) | |||||||
\(992\) | 13.4924 | + | 15.1393i | 0.428386 | + | 0.480673i | ||||
\(993\) | −9.33296 | −0.296173 | ||||||||
\(994\) | −17.8871 | + | 3.80202i | −0.567344 | + | 0.120593i | ||||
\(995\) | 2.26275 | + | 6.96403i | 0.0717340 | + | 0.220775i | ||||
\(996\) | −7.74479 | − | 5.62692i | −0.245403 | − | 0.178296i | ||||
\(997\) | 13.6416 | − | 23.6280i | 0.432035 | − | 0.748306i | −0.565014 | − | 0.825082i | \(-0.691129\pi\) |
0.997048 | + | 0.0767752i | \(0.0244624\pi\) | |||||||
\(998\) | −1.05457 | − | 1.82658i | −0.0333820 | − | 0.0578192i | ||||
\(999\) | 0.315077 | − | 2.99775i | 0.00996858 | − | 0.0948447i |
(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 | 403.2.bk.a.9.10 | yes | 280 | |
13.3 | even | 3 | 403.2.bj.a.133.26 | yes | 280 | ||
31.7 | even | 15 | 403.2.bj.a.100.26 | ✓ | 280 | ||
403.224 | even | 15 | inner | 403.2.bk.a.224.10 | yes | 280 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bj.a.100.26 | ✓ | 280 | 31.7 | even | 15 | ||
403.2.bj.a.133.26 | yes | 280 | 13.3 | even | 3 | ||
403.2.bk.a.9.10 | yes | 280 | 1.1 | even | 1 | trivial | |
403.2.bk.a.224.10 | yes | 280 | 403.224 | even | 15 | inner |