Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(7,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(114))
chi = DirichletCharacter(H, H._module([50]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.i (of order \(57\), degree \(36\), 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(612\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{57})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{57}]$ |
Embedding invariants
Embedding label | 505.2 | ||
Character | \(\chi\) | \(=\) | 722.505 |
Dual form | 722.2.i.b.539.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{47}{57}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.851919 | − | 0.523673i | 0.602398 | − | 0.370293i | ||||
\(3\) | −1.09847 | + | 2.93389i | −0.634204 | + | 1.69388i | 0.0825760 | + | 0.996585i | \(0.473685\pi\) |
−0.716780 | + | 0.697299i | \(0.754385\pi\) | |||||||
\(4\) | 0.451533 | − | 0.892254i | 0.225767 | − | 0.446127i | ||||
\(5\) | −0.462965 | − | 0.629887i | −0.207044 | − | 0.281694i | 0.689837 | − | 0.723964i | \(-0.257682\pi\) |
−0.896882 | + | 0.442270i | \(0.854173\pi\) | |||||||
\(6\) | 0.600589 | + | 3.07468i | 0.245189 | + | 1.25523i | ||||
\(7\) | −0.692601 | + | 1.06010i | −0.261778 | + | 0.400682i | −0.943731 | − | 0.330715i | \(-0.892710\pi\) |
0.681952 | + | 0.731397i | \(0.261131\pi\) | |||||||
\(8\) | −0.0825793 | − | 0.996584i | −0.0291962 | − | 0.352346i | ||||
\(9\) | −5.13876 | − | 4.47535i | −1.71292 | − | 1.49178i | ||||
\(10\) | −0.724264 | − | 0.294171i | −0.229032 | − | 0.0930249i | ||||
\(11\) | −3.67491 | − | 1.26160i | −1.10803 | − | 0.380387i | −0.290848 | − | 0.956769i | \(-0.593937\pi\) |
−0.817180 | + | 0.576383i | \(0.804464\pi\) | |||||||
\(12\) | 2.12178 | + | 2.30487i | 0.612505 | + | 0.665358i | ||||
\(13\) | −4.36389 | − | 5.29878i | −1.21033 | − | 1.46962i | −0.841618 | − | 0.540073i | \(-0.818396\pi\) |
−0.368709 | − | 0.929545i | \(-0.620200\pi\) | |||||||
\(14\) | −0.0348921 | + | 1.26582i | −0.00932530 | + | 0.338304i | ||||
\(15\) | 2.35658 | − | 0.666377i | 0.608466 | − | 0.172058i | ||||
\(16\) | −0.592235 | − | 0.805765i | −0.148059 | − | 0.201441i | ||||
\(17\) | −0.696311 | − | 1.37595i | −0.168880 | − | 0.333716i | 0.792073 | − | 0.610426i | \(-0.209002\pi\) |
−0.960954 | + | 0.276709i | \(0.910756\pi\) | |||||||
\(18\) | −6.72143 | − | 1.12161i | −1.58426 | − | 0.264366i | ||||
\(19\) | 2.87430 | + | 3.27695i | 0.659409 | + | 0.751784i | ||||
\(20\) | −0.771064 | + | 0.128668i | −0.172415 | + | 0.0287710i | ||||
\(21\) | −2.34943 | − | 3.19651i | −0.512687 | − | 0.697536i | ||||
\(22\) | −3.79140 | + | 0.849672i | −0.808328 | + | 0.181151i | ||||
\(23\) | 1.43905 | + | 3.84352i | 0.300062 | + | 0.801430i | 0.996483 | + | 0.0837964i | \(0.0267045\pi\) |
−0.696421 | + | 0.717634i | \(0.745225\pi\) | |||||||
\(24\) | 3.01458 | + | 0.852443i | 0.615349 | + | 0.174004i | ||||
\(25\) | 1.31015 | − | 4.18879i | 0.262031 | − | 0.837759i | ||||
\(26\) | −6.49252 | − | 2.22888i | −1.27329 | − | 0.437120i | ||||
\(27\) | 10.5094 | − | 5.68740i | 2.02253 | − | 1.09454i | ||||
\(28\) | 0.633150 | + | 1.09665i | 0.119654 | + | 0.207247i | ||||
\(29\) | 2.70797 | + | 0.149403i | 0.502858 | + | 0.0277435i | 0.304742 | − | 0.952435i | \(-0.401430\pi\) |
0.198116 | + | 0.980178i | \(0.436518\pi\) | |||||||
\(30\) | 1.65865 | − | 1.80177i | 0.302827 | − | 0.328958i | ||||
\(31\) | −5.57105 | + | 3.01490i | −1.00059 | + | 0.541493i | −0.891732 | − | 0.452565i | \(-0.850509\pi\) |
−0.108859 | + | 0.994057i | \(0.534720\pi\) | |||||||
\(32\) | −0.926494 | − | 0.376309i | −0.163783 | − | 0.0665227i | ||||
\(33\) | 7.73819 | − | 9.39597i | 1.34705 | − | 1.63563i | ||||
\(34\) | −1.31375 | − | 0.807558i | −0.225306 | − | 0.138495i | ||||
\(35\) | 0.988396 | − | 0.0545313i | 0.167069 | − | 0.00921748i | ||||
\(36\) | −6.31348 | + | 2.56431i | −1.05225 | + | 0.427385i | ||||
\(37\) | −1.99304 | − | 0.684210i | −0.327653 | − | 0.112484i | 0.155965 | − | 0.987763i | \(-0.450151\pi\) |
−0.483618 | + | 0.875279i | \(0.660678\pi\) | |||||||
\(38\) | 4.16472 | + | 1.28651i | 0.675607 | + | 0.208699i | ||||
\(39\) | 20.3397 | − | 6.98262i | 3.25696 | − | 1.11811i | ||||
\(40\) | −0.589504 | + | 0.513400i | −0.0932088 | + | 0.0811757i | ||||
\(41\) | −6.74129 | − | 6.55802i | −1.05281 | − | 1.02419i | −0.999672 | − | 0.0256043i | \(-0.991849\pi\) |
−0.0531399 | − | 0.998587i | \(-0.516923\pi\) | |||||||
\(42\) | −3.67545 | − | 1.49284i | −0.567134 | − | 0.230350i | ||||
\(43\) | −7.40614 | + | 3.00811i | −1.12943 | + | 0.458733i | −0.863041 | − | 0.505134i | \(-0.831443\pi\) |
−0.266384 | + | 0.963867i | \(0.585829\pi\) | |||||||
\(44\) | −2.78501 | + | 2.70930i | −0.419857 | + | 0.408443i | ||||
\(45\) | −0.439898 | + | 5.30878i | −0.0655761 | + | 0.791386i | ||||
\(46\) | 3.23870 | + | 2.52078i | 0.477520 | + | 0.371669i | ||||
\(47\) | −1.36937 | − | 7.01043i | −0.199744 | − | 1.02258i | −0.937626 | − | 0.347646i | \(-0.886981\pi\) |
0.737882 | − | 0.674929i | \(-0.235826\pi\) | |||||||
\(48\) | 3.01458 | − | 0.852443i | 0.435118 | − | 0.123040i | ||||
\(49\) | 2.16774 | + | 4.94196i | 0.309678 | + | 0.705994i | ||||
\(50\) | −1.07741 | − | 4.25461i | −0.152369 | − | 0.601692i | ||||
\(51\) | 4.80176 | − | 0.531459i | 0.672381 | − | 0.0744192i | ||||
\(52\) | −6.69831 | + | 1.50113i | −0.928888 | + | 0.208169i | ||||
\(53\) | 2.48283 | + | 12.7107i | 0.341043 | + | 1.74595i | 0.619034 | + | 0.785364i | \(0.287524\pi\) |
−0.277992 | + | 0.960583i | \(0.589669\pi\) | |||||||
\(54\) | 5.97482 | − | 10.3487i | 0.813069 | − | 1.40828i | ||||
\(55\) | 0.906693 | + | 2.89886i | 0.122258 | + | 0.390882i | ||||
\(56\) | 1.11368 | + | 0.602692i | 0.148821 | + | 0.0805381i | ||||
\(57\) | −12.7716 | + | 4.83324i | −1.69164 | + | 0.640178i | ||||
\(58\) | 2.38521 | − | 1.29081i | 0.313194 | − | 0.169492i | ||||
\(59\) | −6.94619 | − | 6.75736i | −0.904317 | − | 0.879733i | 0.0888966 | − | 0.996041i | \(-0.471666\pi\) |
−0.993213 | + | 0.116308i | \(0.962894\pi\) | |||||||
\(60\) | 0.469496 | − | 2.40356i | 0.0606117 | − | 0.310298i | ||||
\(61\) | 7.96701 | − | 3.75972i | 1.02007 | − | 0.481383i | 0.157607 | − | 0.987502i | \(-0.449622\pi\) |
0.862464 | + | 0.506119i | \(0.168920\pi\) | |||||||
\(62\) | −3.16726 | + | 5.48586i | −0.402243 | + | 0.696705i | ||||
\(63\) | 8.30345 | − | 2.34799i | 1.04614 | − | 0.295819i | ||||
\(64\) | −0.986361 | + | 0.164595i | −0.123295 | + | 0.0205743i | ||||
\(65\) | −1.31730 | + | 5.20192i | −0.163391 | + | 0.645218i | ||||
\(66\) | 1.67190 | − | 12.0569i | 0.205797 | − | 1.48410i | ||||
\(67\) | −9.56269 | + | 6.63062i | −1.16827 | + | 0.810060i | −0.984924 | − | 0.172989i | \(-0.944657\pi\) |
−0.183345 | + | 0.983049i | \(0.558693\pi\) | |||||||
\(68\) | −1.54210 | −0.187007 | ||||||||
\(69\) | −12.8572 | −1.54783 | ||||||||
\(70\) | 0.813477 | − | 0.564053i | 0.0972291 | − | 0.0674172i | ||||
\(71\) | −10.9709 | − | 5.17729i | −1.30201 | − | 0.614432i | −0.354766 | − | 0.934955i | \(-0.615439\pi\) |
−0.947241 | + | 0.320523i | \(0.896141\pi\) | |||||||
\(72\) | −4.03571 | + | 5.49078i | −0.475613 | + | 0.647095i | ||||
\(73\) | −2.61609 | − | 5.16954i | −0.306191 | − | 0.605049i | 0.686307 | − | 0.727312i | \(-0.259231\pi\) |
−0.992498 | + | 0.122263i | \(0.960985\pi\) | |||||||
\(74\) | −2.05621 | + | 0.460807i | −0.239029 | + | 0.0535678i | ||||
\(75\) | 10.8503 | + | 8.44513i | 1.25288 | + | 0.975159i | ||||
\(76\) | 4.22172 | − | 1.08495i | 0.484264 | − | 0.124452i | ||||
\(77\) | 3.88267 | − | 3.02201i | 0.442472 | − | 0.344390i | ||||
\(78\) | 13.6712 | − | 16.6000i | 1.54795 | − | 1.87958i | ||||
\(79\) | 8.34364 | − | 3.38889i | 0.938733 | − | 0.381280i | 0.144920 | − | 0.989443i | \(-0.453707\pi\) |
0.793812 | + | 0.608163i | \(0.208093\pi\) | |||||||
\(80\) | −0.233357 | + | 0.746083i | −0.0260901 | + | 0.0834146i | ||||
\(81\) | 2.33399 | + | 16.8315i | 0.259332 | + | 1.87017i | ||||
\(82\) | −9.17729 | − | 2.05668i | −1.01346 | − | 0.227122i | ||||
\(83\) | −2.82188 | − | 6.43324i | −0.309741 | − | 0.706139i | 0.690104 | − | 0.723710i | \(-0.257565\pi\) |
−0.999846 | + | 0.0175706i | \(0.994407\pi\) | |||||||
\(84\) | −3.91295 | + | 0.652955i | −0.426938 | + | 0.0712433i | ||||
\(85\) | −0.544324 | + | 1.07561i | −0.0590402 | + | 0.116667i | ||||
\(86\) | −4.73416 | + | 6.44106i | −0.510498 | + | 0.694558i | ||||
\(87\) | −3.41297 | + | 7.78079i | −0.365909 | + | 0.834188i | ||||
\(88\) | −0.953818 | + | 3.76654i | −0.101677 | + | 0.401515i | ||||
\(89\) | −3.98010 | + | 7.86489i | −0.421889 | + | 0.833676i | 0.577956 | + | 0.816068i | \(0.303851\pi\) |
−0.999845 | + | 0.0176080i | \(0.994395\pi\) | |||||||
\(90\) | 2.40530 | + | 4.75301i | 0.253541 | + | 0.501011i | ||||
\(91\) | 8.63970 | − | 0.956242i | 0.905686 | − | 0.100241i | ||||
\(92\) | 4.07918 | + | 0.451483i | 0.425284 | + | 0.0470704i | ||||
\(93\) | −2.72575 | − | 19.6567i | −0.282647 | − | 2.03830i | ||||
\(94\) | −4.83777 | − | 5.25521i | −0.498977 | − | 0.542034i | ||||
\(95\) | 0.733409 | − | 3.32760i | 0.0752462 | − | 0.341404i | ||||
\(96\) | 2.12178 | − | 2.30487i | 0.216553 | − | 0.235240i | ||||
\(97\) | 2.35349 | + | 1.63187i | 0.238960 | + | 0.165691i | 0.683234 | − | 0.730200i | \(-0.260573\pi\) |
−0.444273 | + | 0.895891i | \(0.646538\pi\) | |||||||
\(98\) | 4.43471 | + | 3.07496i | 0.447973 | + | 0.310618i | ||||
\(99\) | 13.2384 | + | 22.9296i | 1.33051 | + | 2.30451i | ||||
\(100\) | −3.14589 | − | 3.06037i | −0.314589 | − | 0.306037i | ||||
\(101\) | −9.75002 | − | 8.49130i | −0.970163 | − | 0.844916i | 0.0177630 | − | 0.999842i | \(-0.494346\pi\) |
−0.987926 | + | 0.154927i | \(0.950486\pi\) | |||||||
\(102\) | 3.81241 | − | 2.96731i | 0.377484 | − | 0.293808i | ||||
\(103\) | 7.27659 | + | 11.1376i | 0.716983 | + | 1.09742i | 0.990759 | + | 0.135631i | \(0.0433062\pi\) |
−0.273776 | + | 0.961793i | \(0.588273\pi\) | |||||||
\(104\) | −4.92032 | + | 4.78656i | −0.482477 | + | 0.469361i | ||||
\(105\) | −0.925738 | + | 2.95975i | −0.0903428 | + | 0.288842i | ||||
\(106\) | 8.77141 | + | 9.52829i | 0.851955 | + | 0.925470i | ||||
\(107\) | 8.02583 | + | 4.34336i | 0.775886 | + | 0.419889i | 0.815084 | − | 0.579343i | \(-0.196691\pi\) |
−0.0391978 | + | 0.999231i | \(0.512480\pi\) | |||||||
\(108\) | −0.329264 | − | 11.9451i | −0.0316835 | − | 1.14942i | ||||
\(109\) | −1.68804 | + | 8.64184i | −0.161685 | + | 0.827738i | 0.809079 | + | 0.587701i | \(0.199967\pi\) |
−0.970764 | + | 0.240037i | \(0.922840\pi\) | |||||||
\(110\) | 2.29048 | + | 1.99478i | 0.218389 | + | 0.190195i | ||||
\(111\) | 4.19670 | − | 5.09577i | 0.398333 | − | 0.483669i | ||||
\(112\) | 1.26438 | − | 0.0697576i | 0.119472 | − | 0.00659148i | ||||
\(113\) | 5.95229 | + | 9.11066i | 0.559945 | + | 0.857059i | 0.999146 | − | 0.0413299i | \(-0.0131595\pi\) |
−0.439201 | + | 0.898389i | \(0.644738\pi\) | |||||||
\(114\) | −8.34931 | + | 10.8057i | −0.781984 | + | 1.01204i | ||||
\(115\) | 1.75476 | − | 2.68586i | 0.163632 | − | 0.250457i | ||||
\(116\) | 1.35605 | − | 2.34874i | 0.125906 | − | 0.218075i | ||||
\(117\) | −1.28891 | + | 46.7592i | −0.119160 | + | 4.32289i | ||||
\(118\) | −9.45624 | − | 2.11919i | −0.870517 | − | 0.195087i | ||||
\(119\) | 1.94091 | + | 0.214820i | 0.177923 | + | 0.0196925i | ||||
\(120\) | −0.858705 | − | 2.29350i | −0.0783887 | − | 0.209367i | ||||
\(121\) | 3.23281 | + | 2.51620i | 0.293892 | + | 0.228745i | ||||
\(122\) | 4.81839 | − | 7.37509i | 0.436236 | − | 0.667709i | ||||
\(123\) | 26.6457 | − | 12.5744i | 2.40256 | − | 1.13380i | ||||
\(124\) | 0.174544 | + | 6.33212i | 0.0156745 | + | 0.568642i | ||||
\(125\) | −6.94187 | + | 2.38315i | −0.620900 | + | 0.213155i | ||||
\(126\) | 5.84429 | − | 6.34859i | 0.520651 | − | 0.565578i | ||||
\(127\) | 0.648781 | + | 1.12372i | 0.0575700 | + | 0.0997142i | 0.893374 | − | 0.449314i | \(-0.148331\pi\) |
−0.835804 | + | 0.549028i | \(0.814998\pi\) | |||||||
\(128\) | −0.754107 | + | 0.656752i | −0.0666542 | + | 0.0580492i | ||||
\(129\) | −0.690034 | − | 25.0331i | −0.0607541 | − | 2.20405i | ||||
\(130\) | 1.60187 | + | 5.12145i | 0.140493 | + | 0.449181i | ||||
\(131\) | 0.180140 | − | 6.53514i | 0.0157389 | − | 0.570978i | −0.950116 | − | 0.311895i | \(-0.899036\pi\) |
0.965855 | − | 0.259082i | \(-0.0834200\pi\) | |||||||
\(132\) | −4.88954 | − | 11.1470i | −0.425580 | − | 0.970224i | ||||
\(133\) | −5.46465 | + | 0.777437i | −0.473845 | + | 0.0674123i | ||||
\(134\) | −4.67437 | + | 10.6565i | −0.403804 | + | 0.920580i | ||||
\(135\) | −8.44790 | − | 3.98666i | −0.727080 | − | 0.343117i | ||||
\(136\) | −1.31375 | + | 0.807558i | −0.112653 | + | 0.0692475i | ||||
\(137\) | 5.69616 | − | 3.94963i | 0.486656 | − | 0.337440i | −0.300928 | − | 0.953647i | \(-0.597297\pi\) |
0.787584 | + | 0.616207i | \(0.211332\pi\) | |||||||
\(138\) | −10.9533 | + | 6.73299i | −0.932410 | + | 0.573150i | ||||
\(139\) | −0.367720 | + | 2.65180i | −0.0311896 | + | 0.224923i | −0.999712 | − | 0.0240039i | \(-0.992359\pi\) |
0.968522 | + | 0.248927i | \(0.0800779\pi\) | |||||||
\(140\) | 0.397638 | − | 0.906523i | 0.0336065 | − | 0.0766152i | ||||
\(141\) | 22.0721 | + | 3.68317i | 1.85880 | + | 0.310179i | ||||
\(142\) | −12.0575 | + | 1.33453i | −1.01185 | + | 0.111991i | ||||
\(143\) | 9.35199 | + | 24.9781i | 0.782053 | + | 2.08877i | ||||
\(144\) | −0.562726 | + | 6.79110i | −0.0468939 | + | 0.565925i | ||||
\(145\) | −1.15959 | − | 1.77489i | −0.0962988 | − | 0.147396i | ||||
\(146\) | −4.93585 | − | 3.03406i | −0.408494 | − | 0.251100i | ||||
\(147\) | −16.8804 | + | 0.931317i | −1.39227 | + | 0.0768137i | ||||
\(148\) | −1.51041 | + | 1.46935i | −0.124155 | + | 0.120780i | ||||
\(149\) | −5.98510 | − | 1.69242i | −0.490318 | − | 0.138649i | 0.0179651 | − | 0.999839i | \(-0.494281\pi\) |
−0.508284 | + | 0.861190i | \(0.669720\pi\) | |||||||
\(150\) | 13.6661 | + | 1.51256i | 1.11583 | + | 0.123500i | ||||
\(151\) | −1.55699 | − | 6.14841i | −0.126706 | − | 0.500350i | −0.999915 | − | 0.0130053i | \(-0.995860\pi\) |
0.873210 | − | 0.487345i | \(-0.162035\pi\) | |||||||
\(152\) | 3.02840 | − | 3.13509i | 0.245636 | − | 0.254289i | ||||
\(153\) | −2.57968 | + | 10.1869i | −0.208554 | + | 0.823563i | ||||
\(154\) | 1.72518 | − | 4.60776i | 0.139019 | − | 0.371304i | ||||
\(155\) | 4.47825 | + | 2.11334i | 0.359702 | + | 0.169747i | ||||
\(156\) | 2.95377 | − | 21.3011i | 0.236491 | − | 1.70545i | ||||
\(157\) | −5.41784 | + | 14.4704i | −0.432391 | + | 1.15486i | 0.521114 | + | 0.853487i | \(0.325517\pi\) |
−0.953505 | + | 0.301377i | \(0.902554\pi\) | |||||||
\(158\) | 5.33344 | − | 7.25640i | 0.424305 | − | 0.577288i | ||||
\(159\) | −40.0191 | − | 6.67801i | −3.17372 | − | 0.529601i | ||||
\(160\) | 0.191902 | + | 0.757805i | 0.0151712 | + | 0.0599097i | ||||
\(161\) | −5.07122 | − | 1.13649i | −0.399668 | − | 0.0895677i | ||||
\(162\) | 10.8026 | + | 13.1168i | 0.848731 | + | 1.03056i | ||||
\(163\) | 11.8002 | + | 6.38594i | 0.924261 | + | 0.500185i | 0.867075 | − | 0.498178i | \(-0.165998\pi\) |
0.0571866 | + | 0.998364i | \(0.481787\pi\) | |||||||
\(164\) | −8.89534 | + | 3.05377i | −0.694609 | + | 0.238460i | ||||
\(165\) | −9.50092 | − | 0.524180i | −0.739645 | − | 0.0408074i | ||||
\(166\) | −5.77293 | − | 4.00286i | −0.448066 | − | 0.310682i | ||||
\(167\) | 8.30210 | + | 0.458040i | 0.642436 | + | 0.0354442i | 0.373377 | − | 0.927680i | \(-0.378200\pi\) |
0.269059 | + | 0.963124i | \(0.413287\pi\) | |||||||
\(168\) | −2.99158 | + | 2.60537i | −0.230805 | + | 0.201009i | ||||
\(169\) | −6.54130 | + | 33.4878i | −0.503177 | + | 2.57598i | ||||
\(170\) | 0.0995495 | + | 1.20138i | 0.00763510 | + | 0.0921420i | ||||
\(171\) | −0.104823 | − | 29.7030i | −0.00801601 | − | 2.27144i | ||||
\(172\) | −0.660116 | + | 7.96642i | −0.0503334 | + | 0.607434i | ||||
\(173\) | −9.81612 | − | 2.77573i | −0.746306 | − | 0.211035i | −0.122342 | − | 0.992488i | \(-0.539040\pi\) |
−0.623964 | + | 0.781453i | \(0.714479\pi\) | |||||||
\(174\) | 1.16701 | + | 8.41589i | 0.0884710 | + | 0.638007i | ||||
\(175\) | 3.53314 | + | 4.29006i | 0.267081 | + | 0.324298i | ||||
\(176\) | 1.15986 | + | 3.70828i | 0.0874278 | + | 0.279522i | ||||
\(177\) | 27.4556 | − | 12.9566i | 2.06369 | − | 0.973877i | ||||
\(178\) | 0.727906 | + | 8.78452i | 0.0545589 | + | 0.658427i | ||||
\(179\) | −3.27526 | + | 2.54924i | −0.244804 | + | 0.190539i | −0.729181 | − | 0.684320i | \(-0.760099\pi\) |
0.484377 | + | 0.874859i | \(0.339046\pi\) | |||||||
\(180\) | 4.53815 | + | 2.78959i | 0.338254 | + | 0.207924i | ||||
\(181\) | −8.93352 | − | 5.49141i | −0.664023 | − | 0.408173i | 0.150256 | − | 0.988647i | \(-0.451990\pi\) |
−0.814279 | + | 0.580474i | \(0.802867\pi\) | |||||||
\(182\) | 6.85957 | − | 5.33902i | 0.508465 | − | 0.395754i | ||||
\(183\) | 2.27907 | + | 27.5043i | 0.168474 | + | 2.03318i | ||||
\(184\) | 3.71156 | − | 1.75153i | 0.273620 | − | 0.129124i | ||||
\(185\) | 0.491732 | + | 1.57215i | 0.0361528 | + | 0.115587i | ||||
\(186\) | −12.6158 | − | 15.3185i | −0.925034 | − | 1.12321i | ||||
\(187\) | 0.822988 | + | 5.93496i | 0.0601828 | + | 0.434007i | ||||
\(188\) | −6.87340 | − | 1.94361i | −0.501294 | − | 0.141752i | ||||
\(189\) | −1.24958 | + | 15.0801i | −0.0908933 | + | 1.09692i | ||||
\(190\) | −1.11777 | − | 3.21891i | −0.0810914 | − | 0.233524i | ||||
\(191\) | 0.0737188 | + | 0.889654i | 0.00533410 | + | 0.0643731i | 0.998732 | − | 0.0503497i | \(-0.0160336\pi\) |
−0.993398 | + | 0.114723i | \(0.963402\pi\) | |||||||
\(192\) | 0.600589 | − | 3.07468i | 0.0433438 | − | 0.221896i | ||||
\(193\) | 15.0036 | − | 13.0667i | 1.07999 | − | 0.940560i | 0.0815607 | − | 0.996668i | \(-0.474010\pi\) |
0.998425 | + | 0.0561082i | \(0.0178692\pi\) | |||||||
\(194\) | 2.85955 | + | 0.157766i | 0.205304 | + | 0.0113269i | ||||
\(195\) | −13.8148 | − | 9.57900i | −0.989301 | − | 0.685966i | ||||
\(196\) | 5.38829 | + | 0.297280i | 0.384878 | + | 0.0212343i | ||||
\(197\) | −16.2980 | + | 5.59510i | −1.16118 | + | 0.398634i | −0.836916 | − | 0.547332i | \(-0.815644\pi\) |
−0.324266 | + | 0.945966i | \(0.605117\pi\) | |||||||
\(198\) | 23.2857 | + | 12.6016i | 1.65484 | + | 0.895555i | ||||
\(199\) | −11.3697 | − | 13.8054i | −0.805975 | − | 0.978641i | 0.194022 | − | 0.980997i | \(-0.437847\pi\) |
−0.999997 | + | 0.00235597i | \(0.999250\pi\) | |||||||
\(200\) | −4.28268 | − | 0.959771i | −0.302831 | − | 0.0678660i | ||||
\(201\) | −8.94917 | − | 35.3395i | −0.631226 | − | 2.49265i | ||||
\(202\) | −12.7529 | − | 2.12808i | −0.897290 | − | 0.149731i | ||||
\(203\) | −2.03393 | + | 2.76726i | −0.142754 | + | 0.194223i | ||||
\(204\) | 1.69396 | − | 4.52437i | 0.118601 | − | 0.316769i | ||||
\(205\) | −1.00983 | + | 7.28239i | −0.0705298 | + | 0.508624i | ||||
\(206\) | 12.0315 | + | 5.67782i | 0.838278 | + | 0.395593i | ||||
\(207\) | 9.80620 | − | 26.1912i | 0.681578 | − | 1.82041i | ||||
\(208\) | −1.68512 | + | 6.65440i | −0.116842 | + | 0.461400i | ||||
\(209\) | −6.42860 | − | 15.6687i | −0.444675 | − | 1.08383i | ||||
\(210\) | 0.761286 | + | 3.00625i | 0.0525338 | + | 0.207451i | ||||
\(211\) | 1.76355 | + | 0.195190i | 0.121408 | + | 0.0134374i | 0.170507 | − | 0.985356i | \(-0.445460\pi\) |
−0.0490989 | + | 0.998794i | \(0.515635\pi\) | |||||||
\(212\) | 12.4622 | + | 3.52399i | 0.855911 | + | 0.242028i | ||||
\(213\) | 27.2409 | − | 26.5003i | 1.86651 | − | 1.81577i | ||||
\(214\) | 9.11186 | − | 0.502715i | 0.622874 | − | 0.0343649i | ||||
\(215\) | 5.32356 | + | 3.27238i | 0.363064 | + | 0.223174i | ||||
\(216\) | −6.53583 | − | 10.0038i | −0.444707 | − | 0.680674i | ||||
\(217\) | 0.662403 | − | 7.99402i | 0.0449669 | − | 0.542669i | ||||
\(218\) | 3.08742 | + | 8.24613i | 0.209106 | + | 0.558498i | ||||
\(219\) | 18.0406 | − | 1.99673i | 1.21907 | − | 0.134927i | ||||
\(220\) | 2.99592 | + | 0.499931i | 0.201985 | + | 0.0337053i | ||||
\(221\) | −4.25222 | + | 9.69409i | −0.286036 | + | 0.652095i | ||||
\(222\) | 0.906733 | − | 6.53888i | 0.0608559 | − | 0.438861i | ||||
\(223\) | 7.60711 | − | 4.67607i | 0.509410 | − | 0.313133i | −0.245015 | − | 0.969519i | \(-0.578793\pi\) |
0.754425 | + | 0.656386i | \(0.227916\pi\) | |||||||
\(224\) | 1.04062 | − | 0.721548i | 0.0695292 | − | 0.0482105i | ||||
\(225\) | −25.4789 | + | 15.6618i | −1.69859 | + | 1.04412i | ||||
\(226\) | 9.84188 | + | 4.64449i | 0.654672 | + | 0.308947i | ||||
\(227\) | 9.85643 | − | 22.4704i | 0.654194 | − | 1.49141i | −0.204470 | − | 0.978873i | \(-0.565547\pi\) |
0.858664 | − | 0.512539i | \(-0.171295\pi\) | |||||||
\(228\) | −1.45431 | + | 13.5779i | −0.0963141 | + | 0.899215i | ||||
\(229\) | 7.44273 | + | 16.9677i | 0.491830 | + | 1.12126i | 0.970025 | + | 0.243005i | \(0.0781331\pi\) |
−0.478196 | + | 0.878253i | \(0.658709\pi\) | |||||||
\(230\) | 0.0884018 | − | 3.20705i | 0.00582904 | − | 0.211467i | ||||
\(231\) | 4.60123 | + | 14.7109i | 0.302739 | + | 0.967909i | ||||
\(232\) | −0.0747299 | − | 2.71106i | −0.00490626 | − | 0.177990i | ||||
\(233\) | 13.5240 | − | 11.7781i | 0.885989 | − | 0.771609i | −0.0884924 | − | 0.996077i | \(-0.528205\pi\) |
0.974481 | + | 0.224468i | \(0.0720645\pi\) | |||||||
\(234\) | 23.3885 | + | 40.5100i | 1.52895 | + | 2.64822i | ||||
\(235\) | −3.78180 | + | 4.10814i | −0.246698 | + | 0.267985i | ||||
\(236\) | −9.16571 | + | 3.14659i | −0.596637 | + | 0.204826i | ||||
\(237\) | 0.777381 | + | 28.2019i | 0.0504963 | + | 1.83191i | ||||
\(238\) | 1.76600 | − | 0.833394i | 0.114473 | − | 0.0540209i | ||||
\(239\) | 12.2769 | − | 18.7912i | 0.794129 | − | 1.21550i | −0.178683 | − | 0.983907i | \(-0.557184\pi\) |
0.972812 | − | 0.231598i | \(-0.0743953\pi\) | |||||||
\(240\) | −1.93259 | − | 1.50420i | −0.124748 | − | 0.0970954i | ||||
\(241\) | −7.34228 | − | 19.6104i | −0.472958 | − | 1.26321i | −0.927945 | − | 0.372716i | \(-0.878426\pi\) |
0.454987 | − | 0.890498i | \(-0.349644\pi\) | |||||||
\(242\) | 4.07176 | + | 0.450662i | 0.261743 | + | 0.0289697i | ||||
\(243\) | −16.9645 | − | 3.80182i | −1.08827 | − | 0.243887i | ||||
\(244\) | 0.242742 | − | 8.80624i | 0.0155400 | − | 0.563762i | ||||
\(245\) | 2.10928 | − | 3.65339i | 0.134757 | − | 0.233406i | ||||
\(246\) | 16.1151 | − | 24.6660i | 1.02746 | − | 1.57265i | ||||
\(247\) | 4.82072 | − | 29.5306i | 0.306735 | − | 1.87898i | ||||
\(248\) | 3.46466 | + | 5.30306i | 0.220006 | + | 0.336744i | ||||
\(249\) | 21.9742 | − | 1.21235i | 1.39256 | − | 0.0768295i | ||||
\(250\) | −4.66592 | + | 5.66552i | −0.295099 | + | 0.358319i | ||||
\(251\) | −7.73728 | − | 6.73840i | −0.488373 | − | 0.425324i | 0.377181 | − | 0.926139i | \(-0.376893\pi\) |
−0.865554 | + | 0.500815i | \(0.833034\pi\) | |||||||
\(252\) | 1.65428 | − | 8.46899i | 0.104210 | − | 0.533496i | ||||
\(253\) | −0.439386 | − | 15.9401i | −0.0276240 | − | 1.00215i | ||||
\(254\) | 1.14117 | + | 0.617571i | 0.0716035 | + | 0.0387499i | ||||
\(255\) | −2.55781 | − | 2.77852i | −0.160176 | − | 0.173998i | ||||
\(256\) | −0.298515 | + | 0.954405i | −0.0186572 | + | 0.0596503i | ||||
\(257\) | 18.1063 | − | 17.6141i | 1.12944 | − | 1.09873i | 0.135280 | − | 0.990807i | \(-0.456807\pi\) |
0.994159 | − | 0.107928i | \(-0.0344215\pi\) | |||||||
\(258\) | −13.6970 | − | 20.9649i | −0.852740 | − | 1.30522i | ||||
\(259\) | 2.10571 | − | 1.63894i | 0.130843 | − | 0.101839i | ||||
\(260\) | 4.04662 | + | 3.52421i | 0.250961 | + | 0.218562i | ||||
\(261\) | −13.2470 | − | 12.8869i | −0.819969 | − | 0.797678i | ||||
\(262\) | −3.26881 | − | 5.66174i | −0.201948 | − | 0.349784i | ||||
\(263\) | −3.72331 | − | 2.58168i | −0.229589 | − | 0.159193i | 0.449427 | − | 0.893317i | \(-0.351628\pi\) |
−0.679016 | + | 0.734124i | \(0.737593\pi\) | |||||||
\(264\) | −10.0029 | − | 6.93585i | −0.615635 | − | 0.426872i | ||||
\(265\) | 6.85684 | − | 7.44851i | 0.421212 | − | 0.457558i | ||||
\(266\) | −4.24832 | + | 3.52400i | −0.260481 | + | 0.216070i | ||||
\(267\) | −18.7027 | − | 20.3166i | −1.14459 | − | 1.24335i | ||||
\(268\) | 1.59833 | + | 11.5263i | 0.0976334 | + | 0.704081i | ||||
\(269\) | 10.2766 | + | 1.13742i | 0.626576 | + | 0.0693495i | 0.417689 | − | 0.908590i | \(-0.362840\pi\) |
0.208888 | + | 0.977940i | \(0.433016\pi\) | |||||||
\(270\) | −9.28464 | + | 1.02762i | −0.565045 | + | 0.0625392i | ||||
\(271\) | 2.21412 | + | 4.37522i | 0.134498 | + | 0.265776i | 0.949552 | − | 0.313609i | \(-0.101538\pi\) |
−0.815054 | + | 0.579385i | \(0.803293\pi\) | |||||||
\(272\) | −0.696311 | + | 1.37595i | −0.0422201 | + | 0.0834291i | ||||
\(273\) | −6.68497 | + | 26.3984i | −0.404593 | + | 1.59770i | ||||
\(274\) | 2.78435 | − | 6.34769i | 0.168209 | − | 0.383478i | ||||
\(275\) | −10.0993 | + | 13.7406i | −0.609009 | + | 0.828587i | ||||
\(276\) | −5.80547 | + | 11.4719i | −0.349448 | + | 0.690529i | ||||
\(277\) | −7.97483 | + | 1.33076i | −0.479161 | + | 0.0799579i | −0.399246 | − | 0.916844i | \(-0.630728\pi\) |
−0.0799152 | + | 0.996802i | \(0.525465\pi\) | |||||||
\(278\) | 1.07541 | + | 2.45169i | 0.0644988 | + | 0.147042i | ||||
\(279\) | 42.1211 | + | 9.43955i | 2.52172 | + | 0.565131i | ||||
\(280\) | −0.135966 | − | 0.980517i | −0.00812553 | − | 0.0585971i | ||||
\(281\) | 0.0478260 | − | 0.152908i | 0.00285306 | − | 0.00912173i | −0.952968 | − | 0.303072i | \(-0.901988\pi\) |
0.955821 | + | 0.293951i | \(0.0949701\pi\) | |||||||
\(282\) | 20.7324 | − | 8.42077i | 1.23460 | − | 0.501450i | ||||
\(283\) | −8.35476 | + | 10.1446i | −0.496639 | + | 0.603035i | −0.958912 | − | 0.283702i | \(-0.908437\pi\) |
0.462274 | + | 0.886737i | \(0.347034\pi\) | |||||||
\(284\) | −9.57319 | + | 7.45111i | −0.568064 | + | 0.442142i | ||||
\(285\) | 8.95719 | + | 5.80702i | 0.530578 | + | 0.343978i | ||||
\(286\) | 21.0475 | + | 16.3819i | 1.24456 | + | 0.968683i | ||||
\(287\) | 11.6212 | − | 2.60437i | 0.685978 | − | 0.153731i | ||||
\(288\) | 3.07692 | + | 6.08015i | 0.181309 | + | 0.358276i | ||||
\(289\) | 8.65962 | − | 11.7818i | 0.509389 | − | 0.693049i | ||||
\(290\) | −1.91734 | − | 0.904814i | −0.112590 | − | 0.0531325i | ||||
\(291\) | −7.37298 | + | 5.11231i | −0.432212 | + | 0.299689i | ||||
\(292\) | −5.79380 | −0.339057 | ||||||||
\(293\) | −22.2422 | −1.29941 | −0.649703 | − | 0.760188i | \(-0.725107\pi\) | ||||
−0.649703 | + | 0.760188i | \(0.725107\pi\) | |||||||
\(294\) | −13.8930 | + | 9.63320i | −0.810257 | + | 0.561820i | ||||
\(295\) | −1.04053 | + | 7.50374i | −0.0605818 | + | 0.436884i | ||||
\(296\) | −0.517290 | + | 2.04273i | −0.0300669 | + | 0.118731i | ||||
\(297\) | −45.7963 | + | 7.64205i | −2.65737 | + | 0.443437i | ||||
\(298\) | −5.98510 | + | 1.69242i | −0.346707 | + | 0.0980395i | ||||
\(299\) | 14.0862 | − | 24.3979i | 0.814623 | − | 1.41097i | ||||
\(300\) | 12.4345 | − | 5.86797i | 0.717905 | − | 0.338787i | ||||
\(301\) | 1.94058 | − | 9.93469i | 0.111853 | − | 0.572626i | ||||
\(302\) | −4.54618 | − | 4.42260i | −0.261603 | − | 0.254492i | ||||
\(303\) | 35.6227 | − | 19.2780i | 2.04647 | − | 1.10749i | ||||
\(304\) | 0.938193 | − | 4.25674i | 0.0538090 | − | 0.244141i | ||||
\(305\) | −6.05665 | − | 3.27770i | −0.346803 | − | 0.187680i | ||||
\(306\) | 3.13693 | + | 10.0293i | 0.179327 | + | 0.573339i | ||||
\(307\) | −17.3344 | + | 30.0241i | −0.989327 | + | 1.71356i | −0.368470 | + | 0.929640i | \(0.620118\pi\) |
−0.620856 | + | 0.783924i | \(0.713215\pi\) | |||||||
\(308\) | −0.943241 | − | 4.82887i | −0.0537462 | − | 0.275150i | ||||
\(309\) | −40.6698 | + | 9.11432i | −2.31362 | + | 0.518495i | ||||
\(310\) | 4.92181 | − | 0.544746i | 0.279540 | − | 0.0309395i | ||||
\(311\) | −3.17107 | − | 12.5223i | −0.179815 | − | 0.710074i | −0.991953 | − | 0.126608i | \(-0.959591\pi\) |
0.812138 | − | 0.583466i | \(-0.198304\pi\) | |||||||
\(312\) | −8.63841 | − | 19.6936i | −0.489054 | − | 1.11493i | ||||
\(313\) | 24.2988 | − | 6.87104i | 1.37345 | − | 0.388374i | 0.496115 | − | 0.868257i | \(-0.334759\pi\) |
0.877333 | + | 0.479883i | \(0.159321\pi\) | |||||||
\(314\) | 2.96220 | + | 15.1648i | 0.167166 | + | 0.855799i | ||||
\(315\) | −5.32318 | − | 4.14320i | −0.299927 | − | 0.233443i | ||||
\(316\) | 0.743677 | − | 8.97484i | 0.0418351 | − | 0.504874i | ||||
\(317\) | −15.3261 | + | 14.9094i | −0.860797 | + | 0.837396i | −0.987996 | − | 0.154481i | \(-0.950629\pi\) |
0.127199 | + | 0.991877i | \(0.459401\pi\) | |||||||
\(318\) | −37.5902 | + | 15.2678i | −2.10795 | + | 0.856176i | ||||
\(319\) | −9.76308 | − | 3.96542i | −0.546628 | − | 0.222021i | ||||
\(320\) | 0.560327 | + | 0.545095i | 0.0313232 | + | 0.0304717i | ||||
\(321\) | −21.5591 | + | 18.7759i | −1.20331 | + | 1.04797i | ||||
\(322\) | −4.91542 | + | 1.68746i | −0.273925 | + | 0.0940387i | ||||
\(323\) | 2.50751 | − | 6.23666i | 0.139522 | − | 0.347017i | ||||
\(324\) | 16.0719 | + | 5.51748i | 0.892881 | + | 0.306526i | ||||
\(325\) | −27.9129 | + | 11.3372i | −1.54833 | + | 0.628877i | ||||
\(326\) | 13.3969 | − | 0.739130i | 0.741988 | − | 0.0409366i | ||||
\(327\) | −23.5000 | − | 14.4454i | −1.29955 | − | 0.798831i | ||||
\(328\) | −5.97893 | + | 7.25982i | −0.330131 | + | 0.400856i | ||||
\(329\) | 8.38021 | + | 3.40375i | 0.462016 | + | 0.187655i | ||||
\(330\) | −8.36852 | + | 4.52881i | −0.460672 | + | 0.249303i | ||||
\(331\) | −15.8027 | + | 17.1663i | −0.868597 | + | 0.943548i | −0.998851 | − | 0.0479331i | \(-0.984737\pi\) |
0.130254 | + | 0.991481i | \(0.458421\pi\) | |||||||
\(332\) | −7.01425 | − | 0.386987i | −0.384957 | − | 0.0212387i | ||||
\(333\) | 7.17966 | + | 12.4355i | 0.393443 | + | 0.681463i | ||||
\(334\) | 7.31258 | − | 3.95737i | 0.400127 | − | 0.216538i | ||||
\(335\) | 8.60374 | + | 2.95367i | 0.470073 | + | 0.161376i | ||||
\(336\) | −1.18422 | + | 3.78617i | −0.0646047 | + | 0.206553i | ||||
\(337\) | 26.6069 | + | 7.52371i | 1.44937 | + | 0.409842i | 0.903703 | − | 0.428160i | \(-0.140838\pi\) |
0.545666 | + | 0.838003i | \(0.316277\pi\) | |||||||
\(338\) | 11.9640 | + | 31.9544i | 0.650756 | + | 1.73809i | ||||
\(339\) | −33.2681 | + | 7.45557i | −1.80688 | + | 0.404931i | ||||
\(340\) | 0.713941 | + | 0.971351i | 0.0387189 | + | 0.0526789i | ||||
\(341\) | 24.2767 | − | 4.05107i | 1.31466 | − | 0.219378i | ||||
\(342\) | −15.6439 | − | 25.2497i | −0.845928 | − | 1.36534i | ||||
\(343\) | −15.4836 | − | 2.58375i | −0.836034 | − | 0.139509i | ||||
\(344\) | 3.60943 | + | 7.13243i | 0.194608 | + | 0.384555i | ||||
\(345\) | 5.95246 | + | 8.09861i | 0.320470 | + | 0.436015i | ||||
\(346\) | −9.81612 | + | 2.77573i | −0.527718 | + | 0.149224i | ||||
\(347\) | 0.0756247 | − | 2.74353i | 0.00405975 | − | 0.147280i | −0.994874 | − | 0.101120i | \(-0.967758\pi\) |
0.998934 | − | 0.0461606i | \(-0.0146986\pi\) | |||||||
\(348\) | 5.40137 | + | 6.55852i | 0.289544 | + | 0.351574i | ||||
\(349\) | −13.0186 | − | 14.1420i | −0.696870 | − | 0.757002i | 0.282459 | − | 0.959279i | \(-0.408850\pi\) |
−0.979328 | + | 0.202277i | \(0.935166\pi\) | |||||||
\(350\) | 5.25654 | + | 1.80457i | 0.280974 | + | 0.0964585i | ||||
\(351\) | −75.9981 | − | 30.8678i | −4.05648 | − | 1.64760i | ||||
\(352\) | 2.93003 | + | 2.55177i | 0.156171 | + | 0.136010i | ||||
\(353\) | −1.82479 | − | 22.0219i | −0.0971237 | − | 1.17211i | −0.854614 | − | 0.519263i | \(-0.826206\pi\) |
0.757491 | − | 0.652846i | \(-0.226425\pi\) | |||||||
\(354\) | 16.6049 | − | 25.4157i | 0.882541 | − | 1.35083i | ||||
\(355\) | 1.81804 | + | 9.30734i | 0.0964914 | + | 0.493982i | ||||
\(356\) | 5.22033 | + | 7.10252i | 0.276677 | + | 0.376433i | ||||
\(357\) | −2.76230 | + | 5.45846i | −0.146197 | + | 0.288892i | ||||
\(358\) | −1.45529 | + | 3.88691i | −0.0769145 | + | 0.205430i | ||||
\(359\) | −18.0343 | + | 11.0856i | −0.951811 | + | 0.585076i | −0.910250 | − | 0.414060i | \(-0.864110\pi\) |
−0.0415617 | + | 0.999136i | \(0.513233\pi\) | |||||||
\(360\) | 5.32697 | 0.280756 | ||||||||
\(361\) | −2.47682 | + | 18.8379i | −0.130359 | + | 0.991467i | ||||
\(362\) | −10.4863 | −0.551150 | ||||||||
\(363\) | −10.9334 | + | 6.72075i | −0.573855 | + | 0.352748i | ||||
\(364\) | 3.04790 | − | 8.14058i | 0.159753 | − | 0.426682i | ||||
\(365\) | −2.04507 | + | 4.04117i | −0.107044 | + | 0.211524i | ||||
\(366\) | 16.3449 | + | 22.2380i | 0.854359 | + | 1.16240i | ||||
\(367\) | −0.259944 | − | 1.33077i | −0.0135690 | − | 0.0694655i | 0.974052 | − | 0.226323i | \(-0.0726706\pi\) |
−0.987621 | + | 0.156858i | \(0.949864\pi\) | |||||||
\(368\) | 2.24472 | − | 3.43580i | 0.117014 | − | 0.179104i | ||||
\(369\) | 5.29240 | + | 63.8698i | 0.275511 | + | 3.32493i | ||||
\(370\) | 1.24221 | + | 1.08184i | 0.0645795 | + | 0.0562423i | ||||
\(371\) | −15.1943 | − | 6.17138i | −0.788847 | − | 0.320402i | ||||
\(372\) | −18.7695 | − | 6.44358i | −0.973154 | − | 0.334084i | ||||
\(373\) | 9.01990 | + | 9.79822i | 0.467033 | + | 0.507333i | 0.924127 | − | 0.382085i | \(-0.124794\pi\) |
−0.457094 | + | 0.889418i | \(0.651110\pi\) | |||||||
\(374\) | 3.80909 | + | 4.62513i | 0.196964 | + | 0.239160i | ||||
\(375\) | 0.633564 | − | 22.9845i | 0.0327171 | − | 1.18692i | ||||
\(376\) | −6.87340 | + | 1.94361i | −0.354468 | + | 0.100234i | ||||
\(377\) | −11.0257 | − | 15.0009i | −0.567850 | − | 0.772588i | ||||
\(378\) | 6.83252 | + | 13.5014i | 0.351427 | + | 0.694439i | ||||
\(379\) | 11.4260 | + | 1.90667i | 0.586915 | + | 0.0979389i | 0.450599 | − | 0.892726i | \(-0.351210\pi\) |
0.136316 | + | 0.990665i | \(0.456474\pi\) | |||||||
\(380\) | −2.63791 | − | 2.15691i | −0.135322 | − | 0.110647i | ||||
\(381\) | −4.00955 | + | 0.669075i | −0.205415 | + | 0.0342778i | ||||
\(382\) | 0.528690 | + | 0.719309i | 0.0270501 | + | 0.0368030i | ||||
\(383\) | −4.74126 | + | 1.06254i | −0.242267 | + | 0.0542933i | −0.338123 | − | 0.941102i | \(-0.609792\pi\) |
0.0958562 | + | 0.995395i | \(0.469441\pi\) | |||||||
\(384\) | −1.09847 | − | 2.93389i | −0.0560563 | − | 0.149720i | ||||
\(385\) | −3.70107 | − | 1.04656i | −0.188624 | − | 0.0533377i | ||||
\(386\) | 5.93922 | − | 18.9888i | 0.302299 | − | 0.966502i | ||||
\(387\) | 51.5208 | + | 17.6871i | 2.61895 | + | 0.899086i | ||||
\(388\) | 2.51872 | − | 1.36306i | 0.127869 | − | 0.0691991i | ||||
\(389\) | −7.44848 | − | 12.9011i | −0.377653 | − | 0.654114i | 0.613067 | − | 0.790031i | \(-0.289935\pi\) |
−0.990720 | + | 0.135917i | \(0.956602\pi\) | |||||||
\(390\) | −16.7854 | − | 0.926076i | −0.849961 | − | 0.0468937i | ||||
\(391\) | 4.28646 | − | 4.65634i | 0.216776 | − | 0.235481i | ||||
\(392\) | 4.74607 | − | 2.56844i | 0.239713 | − | 0.129726i | ||||
\(393\) | 18.9755 | + | 7.70719i | 0.957188 | + | 0.388776i | ||||
\(394\) | −10.9545 | + | 13.3014i | −0.551882 | + | 0.670113i | ||||
\(395\) | −5.99744 | − | 3.68661i | −0.301764 | − | 0.185494i | ||||
\(396\) | 26.4366 | − | 1.45855i | 1.32849 | − | 0.0732948i | ||||
\(397\) | 33.1685 | − | 13.4719i | 1.66468 | − | 0.676134i | 0.667054 | − | 0.745009i | \(-0.267555\pi\) |
0.997625 | + | 0.0688751i | \(0.0219410\pi\) | |||||||
\(398\) | −16.9156 | − | 5.80713i | −0.847901 | − | 0.291085i | ||||
\(399\) | 3.72186 | − | 16.8867i | 0.186326 | − | 0.845392i | ||||
\(400\) | −4.15110 | + | 1.42508i | −0.207555 | + | 0.0712538i | ||||
\(401\) | 9.06993 | − | 7.89901i | 0.452931 | − | 0.394458i | −0.399972 | − | 0.916527i | \(-0.630980\pi\) |
0.852903 | + | 0.522070i | \(0.174840\pi\) | |||||||
\(402\) | −26.1303 | − | 25.4200i | −1.30326 | − | 1.26783i | ||||
\(403\) | 40.2868 | + | 16.3631i | 2.00683 | + | 0.815103i | ||||
\(404\) | −11.9789 | + | 4.86539i | −0.595970 | + | 0.242062i | ||||
\(405\) | 9.52140 | − | 9.26256i | 0.473122 | − | 0.460260i | ||||
\(406\) | −0.283604 | + | 3.42259i | −0.0140750 | + | 0.169860i | ||||
\(407\) | 6.46104 | + | 5.02883i | 0.320262 | + | 0.249270i | ||||
\(408\) | −0.926170 | − | 4.74148i | −0.0458523 | − | 0.234738i | ||||
\(409\) | 8.87869 | − | 2.51065i | 0.439023 | − | 0.124144i | −0.0454175 | − | 0.998968i | \(-0.514462\pi\) |
0.484440 | + | 0.874824i | \(0.339023\pi\) | |||||||
\(410\) | 2.95329 | + | 6.73283i | 0.145853 | + | 0.332511i | ||||
\(411\) | 5.33071 | + | 21.0505i | 0.262944 | + | 1.03834i | ||||
\(412\) | 13.2232 | − | 1.46355i | 0.651462 | − | 0.0721038i | ||||
\(413\) | 11.9744 | − | 2.68353i | 0.589223 | − | 0.132048i | ||||
\(414\) | −5.36153 | − | 27.4480i | −0.263505 | − | 1.34900i | ||||
\(415\) | −2.74578 | + | 4.75583i | −0.134785 | + | 0.233455i | ||||
\(416\) | 2.04914 | + | 6.55147i | 0.100467 | + | 0.321212i | ||||
\(417\) | −7.37617 | − | 3.99179i | −0.361213 | − | 0.195479i | ||||
\(418\) | −13.6819 | − | 9.98201i | −0.669205 | − | 0.488236i | ||||
\(419\) | −4.51690 | + | 2.44443i | −0.220665 | + | 0.119418i | −0.582520 | − | 0.812817i | \(-0.697933\pi\) |
0.361855 | + | 0.932235i | \(0.382144\pi\) | |||||||
\(420\) | 2.22285 | + | 2.16242i | 0.108464 | + | 0.105515i | ||||
\(421\) | 1.54926 | − | 7.93133i | 0.0755061 | − | 0.386549i | −0.924480 | − | 0.381231i | \(-0.875500\pi\) |
0.999986 | − | 0.00531805i | \(-0.00169280\pi\) | |||||||
\(422\) | 1.60462 | − | 0.757238i | 0.0781117 | − | 0.0368618i | ||||
\(423\) | −24.3372 | + | 42.1533i | −1.18332 | + | 2.04957i | ||||
\(424\) | 12.4622 | − | 3.52399i | 0.605220 | − | 0.171140i | ||||
\(425\) | −6.67584 | + | 1.11400i | −0.323826 | + | 0.0540369i | ||||
\(426\) | 9.32952 | − | 36.8415i | 0.452017 | − | 1.78497i | ||||
\(427\) | −1.53226 | + | 11.0498i | −0.0741512 | + | 0.534740i | ||||
\(428\) | 7.49931 | − | 5.19991i | 0.362493 | − | 0.251347i | ||||
\(429\) | −83.5559 | −4.03412 | ||||||||
\(430\) | 6.24890 | 0.301349 | ||||||||
\(431\) | −12.3436 | + | 8.55886i | −0.594570 | + | 0.412266i | −0.828501 | − | 0.559987i | \(-0.810806\pi\) |
0.233931 | + | 0.972253i | \(0.424841\pi\) | |||||||
\(432\) | −10.8067 | − | 5.09982i | −0.519939 | − | 0.245365i | ||||
\(433\) | −6.40827 | + | 8.71877i | −0.307962 | + | 0.418997i | −0.932035 | − | 0.362369i | \(-0.881968\pi\) |
0.624073 | + | 0.781366i | \(0.285477\pi\) | |||||||
\(434\) | −3.62194 | − | 7.15714i | −0.173859 | − | 0.343554i | ||||
\(435\) | 6.48111 | − | 1.45245i | 0.310745 | − | 0.0696397i | ||||
\(436\) | 6.94851 | + | 5.40824i | 0.332773 | + | 0.259008i | ||||
\(437\) | −8.45879 | + | 15.7631i | −0.404639 | + | 0.754052i | ||||
\(438\) | 14.3235 | − | 11.1484i | 0.684403 | − | 0.532693i | ||||
\(439\) | −12.5569 | + | 15.2470i | −0.599309 | + | 0.727701i | −0.980440 | − | 0.196820i | \(-0.936938\pi\) |
0.381130 | + | 0.924521i | \(0.375535\pi\) | |||||||
\(440\) | 2.81408 | − | 1.14298i | 0.134156 | − | 0.0544895i | ||||
\(441\) | 10.9775 | − | 35.0970i | 0.522737 | − | 1.67128i | ||||
\(442\) | 1.45398 | + | 10.4854i | 0.0691589 | + | 0.498738i | ||||
\(443\) | 7.09487 | + | 1.59000i | 0.337087 | + | 0.0755430i | 0.383938 | − | 0.923359i | \(-0.374568\pi\) |
−0.0468507 | + | 0.998902i | \(0.514919\pi\) | |||||||
\(444\) | −2.65177 | − | 6.04543i | −0.125848 | − | 0.286904i | ||||
\(445\) | 6.79664 | − | 1.13416i | 0.322192 | − | 0.0537643i | ||||
\(446\) | 4.03191 | − | 7.96727i | 0.190917 | − | 0.377261i | ||||
\(447\) | 11.5399 | − | 15.7006i | 0.545817 | − | 0.742611i | ||||
\(448\) | 0.508667 | − | 1.15964i | 0.0240323 | − | 0.0547880i | ||||
\(449\) | 4.02317 | − | 15.8872i | 0.189865 | − | 0.749761i | −0.799048 | − | 0.601267i | \(-0.794663\pi\) |
0.988913 | − | 0.148494i | \(-0.0474425\pi\) | |||||||
\(450\) | −13.5043 | + | 26.6852i | −0.636599 | + | 1.25795i | ||||
\(451\) | 16.5000 | + | 32.6050i | 0.776957 | + | 1.53531i | ||||
\(452\) | 10.8167 | − | 1.19719i | 0.508774 | − | 0.0563111i | ||||
\(453\) | 19.7491 | + | 2.18583i | 0.927893 | + | 0.102699i | ||||
\(454\) | −3.37025 | − | 24.3045i | −0.158174 | − | 1.14067i | ||||
\(455\) | −4.60221 | − | 4.99933i | −0.215755 | − | 0.234372i | ||||
\(456\) | 5.87140 | + | 12.3288i | 0.274953 | + | 0.577350i | ||||
\(457\) | −15.0613 | + | 16.3609i | −0.704536 | + | 0.765330i | −0.980645 | − | 0.195796i | \(-0.937271\pi\) |
0.276108 | + | 0.961127i | \(0.410955\pi\) | |||||||
\(458\) | 15.2261 | + | 10.5576i | 0.711471 | + | 0.493323i | ||||
\(459\) | −15.1434 | − | 10.5002i | −0.706832 | − | 0.490106i | ||||
\(460\) | −1.60413 | − | 2.77844i | −0.0747932 | − | 0.129546i | ||||
\(461\) | −15.3886 | − | 14.9703i | −0.716720 | − | 0.697236i | 0.245534 | − | 0.969388i | \(-0.421037\pi\) |
−0.962254 | + | 0.272152i | \(0.912265\pi\) | |||||||
\(462\) | 11.6236 | + | 10.1230i | 0.540779 | + | 0.470965i | ||||
\(463\) | 5.83835 | − | 4.54417i | 0.271331 | − | 0.211185i | −0.469403 | − | 0.882984i | \(-0.655531\pi\) |
0.740734 | + | 0.671799i | \(0.234478\pi\) | |||||||
\(464\) | −1.48337 | − | 2.27047i | −0.0688639 | − | 0.105404i | ||||
\(465\) | −11.1196 | + | 10.8173i | −0.515657 | + | 0.501639i | ||||
\(466\) | 5.35352 | − | 17.1162i | 0.247997 | − | 0.792891i | ||||
\(467\) | 6.01529 | + | 6.53435i | 0.278355 | + | 0.302374i | 0.859200 | − | 0.511640i | \(-0.170962\pi\) |
−0.580845 | + | 0.814014i | \(0.697278\pi\) | |||||||
\(468\) | 41.1391 | + | 22.2634i | 1.90165 | + | 1.02912i | ||||
\(469\) | −0.406025 | − | 14.7298i | −0.0187485 | − | 0.680160i | ||||
\(470\) | −1.07047 | + | 5.48023i | −0.0493773 | + | 0.252784i | ||||
\(471\) | −36.5033 | − | 31.7907i | −1.68198 | − | 1.46484i | ||||
\(472\) | −6.16066 | + | 7.48048i | −0.283568 | + | 0.344317i | ||||
\(473\) | 31.0119 | − | 1.71098i | 1.42593 | − | 0.0786708i | ||||
\(474\) | 15.4309 | + | 23.6187i | 0.708763 | + | 1.08484i | ||||
\(475\) | 17.4922 | − | 7.74653i | 0.802599 | − | 0.355435i | ||||
\(476\) | 1.06806 | − | 1.63479i | 0.0489545 | − | 0.0749305i | ||||
\(477\) | 44.1262 | − | 76.4288i | 2.02040 | − | 3.49943i | ||||
\(478\) | 0.618492 | − | 22.4377i | 0.0282891 | − | 1.02628i | ||||
\(479\) | −12.2181 | − | 2.73815i | −0.558261 | − | 0.125109i | −0.0695874 | − | 0.997576i | \(-0.522168\pi\) |
−0.488674 | + | 0.872467i | \(0.662519\pi\) | |||||||
\(480\) | −2.43412 | − | 0.269408i | −0.111102 | − | 0.0122967i | ||||
\(481\) | 5.07192 | + | 13.5465i | 0.231260 | + | 0.617667i | ||||
\(482\) | −16.5244 | − | 12.8615i | −0.752668 | − | 0.585825i | ||||
\(483\) | 8.90493 | − | 13.6300i | 0.405188 | − | 0.620187i | ||||
\(484\) | 3.70481 | − | 1.74834i | 0.168400 | − | 0.0794701i | ||||
\(485\) | −0.0616882 | − | 2.23793i | −0.00280112 | − | 0.101619i | ||||
\(486\) | −16.4433 | + | 5.64498i | −0.745881 | + | 0.256061i | ||||
\(487\) | 1.83195 | − | 1.99003i | 0.0830135 | − | 0.0901767i | −0.692834 | − | 0.721097i | \(-0.743638\pi\) |
0.775848 | + | 0.630920i | \(0.217322\pi\) | |||||||
\(488\) | −4.40479 | − | 7.62932i | −0.199396 | − | 0.345363i | ||||
\(489\) | −31.6978 | + | 27.6057i | −1.43343 | + | 1.24837i | ||||
\(490\) | −0.116240 | − | 4.21697i | −0.00525118 | − | 0.190503i | ||||
\(491\) | −7.49617 | − | 23.9666i | −0.338297 | − | 1.08160i | −0.955549 | − | 0.294831i | \(-0.904737\pi\) |
0.617252 | − | 0.786766i | \(-0.288246\pi\) | |||||||
\(492\) | 0.811852 | − | 29.4525i | 0.0366011 | − | 1.32782i | ||||
\(493\) | −1.68002 | − | 3.83006i | −0.0756644 | − | 0.172497i | ||||
\(494\) | −11.3575 | − | 27.6821i | −0.510997 | − | 1.24548i | ||||
\(495\) | 8.31414 | − | 18.9543i | 0.373693 | − | 0.851933i | ||||
\(496\) | 5.72868 | + | 2.70343i | 0.257225 | + | 0.121387i | ||||
\(497\) | 13.0869 | − | 8.04450i | 0.587029 | − | 0.360845i | ||||
\(498\) | 18.0854 | − | 12.5401i | 0.810424 | − | 0.561936i | ||||
\(499\) | 14.2532 | − | 8.76144i | 0.638063 | − | 0.392216i | −0.166535 | − | 0.986036i | \(-0.553258\pi\) |
0.804598 | + | 0.593820i | \(0.202381\pi\) | |||||||
\(500\) | −1.00811 | + | 7.26998i | −0.0450842 | + | 0.325124i | ||||
\(501\) | −10.4635 | + | 23.8543i | −0.467474 | + | 1.06573i | ||||
\(502\) | −10.1203 | − | 1.68877i | −0.451689 | − | 0.0753736i | ||||
\(503\) | −16.5000 | + | 1.82622i | −0.735698 | + | 0.0814270i | −0.470046 | − | 0.882642i | \(-0.655763\pi\) |
−0.265652 | + | 0.964069i | \(0.585587\pi\) | |||||||
\(504\) | −3.02567 | − | 8.08119i | −0.134774 | − | 0.359965i | ||||
\(505\) | −0.834638 | + | 10.0726i | −0.0371409 | + | 0.448224i | ||||
\(506\) | −8.72173 | − | 13.3496i | −0.387728 | − | 0.593462i | ||||
\(507\) | −91.0642 | − | 55.9769i | −4.04430 | − | 2.48602i | ||||
\(508\) | 1.29559 | − | 0.0714798i | 0.0574826 | − | 0.00317140i | ||||
\(509\) | 24.0222 | − | 23.3691i | 1.06476 | − | 1.03582i | 0.0654841 | − | 0.997854i | \(-0.479141\pi\) |
0.999279 | − | 0.0379640i | \(-0.0120872\pi\) | |||||||
\(510\) | −3.63409 | − | 1.02762i | −0.160920 | − | 0.0455038i | ||||
\(511\) | 7.29216 | + | 0.807096i | 0.322586 | + | 0.0357038i | ||||
\(512\) | 0.245485 | + | 0.969400i | 0.0108490 | + | 0.0428418i | ||||
\(513\) | 48.8444 | + | 18.0915i | 2.15653 | + | 0.798758i | ||||
\(514\) | 6.20108 | − | 24.4875i | 0.273518 | − | 1.08010i | ||||
\(515\) | 3.64665 | − | 9.73977i | 0.160691 | − | 0.429186i | ||||
\(516\) | −22.6475 | − | 10.6876i | −0.997001 | − | 0.470496i | ||||
\(517\) | −3.81202 | + | 27.4903i | −0.167653 | + | 1.20902i | ||||
\(518\) | 0.935628 | − | 2.49895i | 0.0411091 | − | 0.109798i | ||||
\(519\) | 18.9265 | − | 25.7504i | 0.830780 | − | 1.13032i | ||||
\(520\) | 5.29293 | + | 0.883234i | 0.232110 | + | 0.0387324i | ||||
\(521\) | 8.44323 | + | 33.3415i | 0.369904 | + | 1.46072i | 0.822378 | + | 0.568942i | \(0.192647\pi\) |
−0.452473 | + | 0.891778i | \(0.649458\pi\) | |||||||
\(522\) | −18.0339 | − | 4.04149i | −0.789322 | − | 0.176891i | ||||
\(523\) | 12.0391 | + | 14.6183i | 0.526433 | + | 0.639212i | 0.965860 | − | 0.259066i | \(-0.0834148\pi\) |
−0.439426 | + | 0.898279i | \(0.644818\pi\) | |||||||
\(524\) | −5.74966 | − | 3.11156i | −0.251175 | − | 0.135929i | ||||
\(525\) | −16.4676 | + | 5.65335i | −0.718707 | + | 0.246732i | ||||
\(526\) | −4.52391 | − | 0.249591i | −0.197252 | − | 0.0108827i | ||||
\(527\) | 8.02754 | + | 5.56617i | 0.349685 | + | 0.242466i | ||||
\(528\) | −12.1538 | − | 0.670543i | −0.528925 | − | 0.0291816i | ||||
\(529\) | 4.64264 | − | 4.04328i | 0.201854 | − | 0.175795i | ||||
\(530\) | 1.94089 | − | 9.93627i | 0.0843069 | − | 0.431604i | ||||
\(531\) | 5.45326 | + | 65.8111i | 0.236651 | + | 2.85596i | ||||
\(532\) | −1.77380 | + | 5.22690i | −0.0769040 | + | 0.226615i | ||||
\(533\) | −5.33129 | + | 64.3392i | −0.230924 | + | 2.78684i | ||||
\(534\) | −26.5724 | − | 7.51397i | −1.14990 | − | 0.325161i | ||||
\(535\) | −0.979854 | − | 7.06619i | −0.0423628 | − | 0.305498i | ||||
\(536\) | 7.39766 | + | 8.98248i | 0.319530 | + | 0.387984i | ||||
\(537\) | −3.88140 | − | 12.4095i | −0.167495 | − | 0.535511i | ||||
\(538\) | 9.35048 | − | 4.41260i | 0.403128 | − | 0.190241i | ||||
\(539\) | −1.73150 | − | 20.8961i | −0.0745809 | − | 0.900058i | ||||
\(540\) | −7.37162 | + | 5.73757i | −0.317224 | + | 0.246905i | ||||
\(541\) | 13.6408 | + | 8.38497i | 0.586464 | + | 0.360498i | 0.784906 | − | 0.619615i | \(-0.212711\pi\) |
−0.198442 | + | 0.980113i | \(0.563588\pi\) | |||||||
\(542\) | 4.17744 | + | 2.56786i | 0.179436 | + | 0.110299i | ||||
\(543\) | 25.9245 | − | 20.1778i | 1.11252 | − | 0.865913i | ||||
\(544\) | 0.127346 | + | 1.53684i | 0.00545991 | + | 0.0658913i | ||||
\(545\) | 6.22489 | − | 2.93760i | 0.266645 | − | 0.125833i | ||||
\(546\) | 8.12905 | + | 25.9900i | 0.347891 | + | 1.11227i | ||||
\(547\) | −25.0721 | − | 30.4433i | −1.07200 | − | 1.30166i | −0.951061 | − | 0.309004i | \(-0.900004\pi\) |
−0.120944 | − | 0.992659i | \(-0.538592\pi\) | |||||||
\(548\) | −0.952067 | − | 6.86581i | −0.0406703 | − | 0.293293i | ||||
\(549\) | −57.7667 | − | 16.3349i | −2.46542 | − | 0.697155i | ||||
\(550\) | −1.40821 | + | 16.9946i | −0.0600463 | + | 0.724651i | ||||
\(551\) | 7.29394 | + | 9.30333i | 0.310732 | + | 0.396335i | ||||
\(552\) | 1.06174 | + | 12.8133i | 0.0451908 | + | 0.545371i | ||||
\(553\) | −2.18623 | + | 11.1923i | −0.0929679 | + | 0.475944i | ||||
\(554\) | −6.09703 | + | 5.30991i | −0.259038 | + | 0.225596i | ||||
\(555\) | −5.15269 | − | 0.284282i | −0.218719 | − | 0.0120671i | ||||
\(556\) | 2.20004 | + | 1.52548i | 0.0933026 | + | 0.0646946i | ||||
\(557\) | 21.6598 | + | 1.19500i | 0.917753 | + | 0.0506338i | 0.507802 | − | 0.861474i | \(-0.330458\pi\) |
0.409951 | + | 0.912108i | \(0.365546\pi\) | |||||||
\(558\) | 40.8270 | − | 14.0159i | 1.72834 | − | 0.593342i | ||||
\(559\) | 48.2589 | + | 26.1164i | 2.04114 | + | 1.10461i | ||||
\(560\) | −0.629302 | − | 0.764120i | −0.0265929 | − | 0.0322900i | ||||
\(561\) | −18.3166 | − | 4.10484i | −0.773326 | − | 0.173306i | ||||
\(562\) | −0.0393300 | − | 0.155311i | −0.00165903 | − | 0.00655138i | ||||
\(563\) | 17.4284 | + | 2.90829i | 0.734521 | + | 0.122570i | 0.520020 | − | 0.854154i | \(-0.325924\pi\) |
0.214501 | + | 0.976724i | \(0.431188\pi\) | |||||||
\(564\) | 13.2526 | − | 18.0308i | 0.558035 | − | 0.759234i | ||||
\(565\) | 2.98298 | − | 7.96719i | 0.125495 | − | 0.335182i | ||||
\(566\) | −1.80512 | + | 13.0176i | −0.0758747 | + | 0.547169i | ||||
\(567\) | −19.4597 | − | 9.18324i | −0.817229 | − | 0.385660i | ||||
\(568\) | −4.25364 | + | 11.3610i | −0.178479 | + | 0.476696i | ||||
\(569\) | −3.27255 | + | 12.9230i | −0.137192 | + | 0.541761i | 0.862189 | + | 0.506587i | \(0.169093\pi\) |
−0.999381 | + | 0.0351735i | \(0.988802\pi\) | |||||||
\(570\) | 10.6718 | + | 0.256480i | 0.446992 | + | 0.0107427i | ||||
\(571\) | 0.0311715 | + | 0.123093i | 0.00130449 | + | 0.00515130i | 0.970049 | − | 0.242909i | \(-0.0781016\pi\) |
−0.968745 | + | 0.248060i | \(0.920207\pi\) | |||||||
\(572\) | 26.5095 | + | 2.93407i | 1.10842 | + | 0.122680i | ||||
\(573\) | −2.69113 | − | 0.760978i | −0.112423 | − | 0.0317903i | ||||
\(574\) | 8.53649 | − | 8.30443i | 0.356306 | − | 0.346620i | ||||
\(575\) | 17.9851 | − | 0.992265i | 0.750030 | − | 0.0413803i | ||||
\(576\) | 5.80530 | + | 3.56850i | 0.241887 | + | 0.148688i | ||||
\(577\) | 18.8545 | + | 28.8589i | 0.784921 | + | 1.20141i | 0.975556 | + | 0.219751i | \(0.0705244\pi\) |
−0.190635 | + | 0.981661i | \(0.561055\pi\) | |||||||
\(578\) | 1.20747 | − | 14.5720i | 0.0502241 | − | 0.606114i | ||||
\(579\) | 21.8551 | + | 58.3725i | 0.908268 | + | 2.42588i | ||||
\(580\) | −2.10724 | + | 0.233230i | −0.0874986 | + | 0.00968434i | ||||
\(581\) | 8.77433 | + | 1.46418i | 0.364021 | + | 0.0607443i | ||||
\(582\) | −3.60401 | + | 8.21631i | −0.149391 | + | 0.340577i | ||||
\(583\) | 6.91162 | − | 49.8430i | 0.286250 | − | 2.06429i | ||||
\(584\) | −4.93585 | + | 3.03406i | −0.204247 | + | 0.125550i | ||||
\(585\) | 30.0497 | − | 20.8360i | 1.24240 | − | 0.861463i | ||||
\(586\) | −18.9486 | + | 11.6477i | −0.782760 | + | 0.481160i | ||||
\(587\) | −20.2804 | − | 9.57055i | −0.837062 | − | 0.395019i | −0.0402081 | − | 0.999191i | \(-0.512802\pi\) |
−0.796854 | + | 0.604172i | \(0.793504\pi\) | |||||||
\(588\) | −6.79108 | + | 15.4821i | −0.280060 | + | 0.638471i | ||||
\(589\) | −25.8926 | − | 9.59034i | −1.06688 | − | 0.395163i | ||||
\(590\) | 3.04306 | + | 6.93748i | 0.125281 | + | 0.285611i | ||||
\(591\) | 1.48747 | − | 53.9625i | 0.0611862 | − | 2.21972i | ||||
\(592\) | 0.629034 | + | 2.01113i | 0.0258531 | + | 0.0826571i | ||||
\(593\) | −1.09518 | − | 39.7310i | −0.0449736 | − | 1.63156i | −0.600194 | − | 0.799854i | \(-0.704910\pi\) |
0.555220 | − | 0.831703i | \(-0.312634\pi\) | |||||||
\(594\) | −35.0128 | + | 30.4927i | −1.43659 | + | 1.25113i | ||||
\(595\) | −0.763263 | − | 1.32201i | −0.0312908 | − | 0.0541972i | ||||
\(596\) | −4.21254 | + | 4.57604i | −0.172553 | + | 0.187442i | ||||
\(597\) | 52.9930 | − | 18.1925i | 2.16886 | − | 0.744570i | ||||
\(598\) | −0.776269 | − | 28.1616i | −0.0317440 | − | 1.15161i | ||||
\(599\) | 2.26498 | − | 1.06887i | 0.0925445 | − | 0.0436728i | −0.379945 | − | 0.925009i | \(-0.624057\pi\) |
0.472490 | + | 0.881336i | \(0.343355\pi\) | |||||||
\(600\) | 7.52027 | − | 11.5106i | 0.307014 | − | 0.469920i | ||||
\(601\) | −20.5552 | − | 15.9987i | −0.838463 | − | 0.652602i | 0.101138 | − | 0.994872i | \(-0.467751\pi\) |
−0.939601 | + | 0.342270i | \(0.888804\pi\) | |||||||
\(602\) | −3.54931 | − | 9.47979i | −0.144659 | − | 0.386367i | ||||
\(603\) | 78.8148 | + | 8.72322i | 3.20959 | + | 0.355237i | ||||
\(604\) | −6.18898 | − | 1.38698i | −0.251826 | − | 0.0564355i | ||||
\(605\) | 0.0882410 | − | 3.20122i | 0.00358751 | − | 0.130148i | ||||
\(606\) | 20.2523 | − | 35.0780i | 0.822693 | − | 1.42495i | ||||
\(607\) | −8.67610 | + | 13.2798i | −0.352152 | + | 0.539009i | −0.968676 | − | 0.248327i | \(-0.920119\pi\) |
0.616524 | + | 0.787336i | \(0.288540\pi\) | |||||||
\(608\) | −1.42987 | − | 4.11770i | −0.0579890 | − | 0.166995i | ||||
\(609\) | −5.88462 | − | 9.00708i | −0.238457 | − | 0.364985i | ||||
\(610\) | −6.87622 | + | 0.379372i | −0.278410 | + | 0.0153603i | ||||
\(611\) | −31.1709 | + | 37.8488i | −1.26104 | + | 1.53120i | ||||
\(612\) | 7.92450 | + | 6.90146i | 0.320329 | + | 0.278975i | ||||
\(613\) | −2.97528 | + | 15.2318i | −0.120170 | + | 0.615206i | 0.871917 | + | 0.489654i | \(0.162877\pi\) |
−0.992087 | + | 0.125551i | \(0.959930\pi\) | |||||||
\(614\) | 0.955276 | + | 34.6556i | 0.0385518 | + | 1.39859i | ||||
\(615\) | −20.2565 | − | 10.9623i | −0.816820 | − | 0.442041i | ||||
\(616\) | −3.33231 | − | 3.61986i | −0.134263 | − | 0.145848i | ||||
\(617\) | 7.58434 | − | 24.2485i | 0.305334 | − | 0.976208i | −0.667481 | − | 0.744626i | \(-0.732628\pi\) |
0.972816 | − | 0.231581i | \(-0.0743899\pi\) | |||||||
\(618\) | −29.8745 | + | 29.0623i | −1.20173 | + | 1.16906i | ||||
\(619\) | −7.28034 | − | 11.1434i | −0.292622 | − | 0.447891i | 0.660347 | − | 0.750961i | \(-0.270409\pi\) |
−0.952968 | + | 0.303070i | \(0.901988\pi\) | |||||||
\(620\) | 3.90772 | − | 3.04150i | 0.156938 | − | 0.122149i | ||||
\(621\) | 36.9831 | + | 32.2086i | 1.48408 | + | 1.29249i | ||||
\(622\) | −9.25908 | − | 9.00737i | −0.371255 | − | 0.361163i | ||||
\(623\) | −5.58098 | − | 9.66654i | −0.223597 | − | 0.387282i | ||||
\(624\) | −17.6722 | − | 12.2537i | −0.707456 | − | 0.490539i | ||||
\(625\) | −13.3186 | − | 9.23489i | −0.532743 | − | 0.369395i | ||||
\(626\) | 17.1024 | − | 18.5782i | 0.683550 | − | 0.742533i | ||||
\(627\) | 53.0320 | − | 1.64913i | 2.11789 | − | 0.0658599i | ||||
\(628\) | 10.4649 | + | 11.3680i | 0.417597 | + | 0.453631i | ||||
\(629\) | 0.446336 | + | 3.21874i | 0.0177966 | + | 0.128340i | ||||
\(630\) | −6.70460 | − | 0.742065i | −0.267118 | − | 0.0295646i | ||||
\(631\) | −32.8316 | + | 3.63380i | −1.30701 | + | 0.144659i | −0.736390 | − | 0.676557i | \(-0.763471\pi\) |
−0.570616 | + | 0.821217i | \(0.693296\pi\) | |||||||
\(632\) | −4.06633 | − | 8.03529i | −0.161750 | − | 0.319627i | ||||
\(633\) | −2.50988 | + | 4.95966i | −0.0997589 | + | 0.197129i | ||||
\(634\) | −5.24891 | + | 20.7275i | −0.208461 | + | 0.823193i | ||||
\(635\) | 0.407455 | − | 0.928903i | 0.0161693 | − | 0.0368624i | ||||
\(636\) | −24.0285 | + | 32.6919i | −0.952790 | + | 1.29632i | ||||
\(637\) | 16.7266 | − | 33.0526i | 0.662730 | − | 1.30959i | ||||
\(638\) | −10.3939 | + | 1.73444i | −0.411500 | + | 0.0686672i | ||||
\(639\) | 33.2067 | + | 75.7036i | 1.31364 | + | 2.99479i | ||||
\(640\) | 0.762805 | + | 0.170949i | 0.0301525 | + | 0.00675734i | ||||
\(641\) | −0.690596 | − | 4.98022i | −0.0272769 | − | 0.196707i | 0.971989 | − | 0.235028i | \(-0.0755183\pi\) |
−0.999265 | + | 0.0383213i | \(0.987799\pi\) | |||||||
\(642\) | −8.53423 | + | 27.2854i | −0.336819 | + | 1.07687i | ||||
\(643\) | 10.3927 | − | 4.22116i | 0.409849 | − | 0.166466i | −0.162065 | − | 0.986780i | \(-0.551815\pi\) |
0.571913 | + | 0.820314i | \(0.306201\pi\) | |||||||
\(644\) | −3.30386 | + | 4.01165i | −0.130190 | + | 0.158081i | ||||
\(645\) | −15.4486 | + | 12.0241i | −0.608288 | + | 0.473449i | ||||
\(646\) | −1.12977 | − | 6.62625i | −0.0444504 | − | 0.260706i | ||||
\(647\) | −12.5155 | − | 9.74121i | −0.492035 | − | 0.382966i | 0.337584 | − | 0.941295i | \(-0.390390\pi\) |
−0.829620 | + | 0.558329i | \(0.811443\pi\) | |||||||
\(648\) | 16.5813 | − | 3.71595i | 0.651374 | − | 0.145976i | ||||
\(649\) | 17.0016 | + | 33.5960i | 0.667370 | + | 1.31876i | ||||
\(650\) | −17.8425 | + | 24.2756i | −0.699841 | + | 0.952168i | ||||
\(651\) | 22.7260 | + | 10.7246i | 0.890701 | + | 0.420332i | ||||
\(652\) | 11.0261 | − | 7.64529i | 0.431814 | − | 0.299413i | ||||
\(653\) | 8.22120 | 0.321720 | 0.160860 | − | 0.986977i | \(-0.448573\pi\) | ||||
0.160860 | + | 0.986977i | \(0.448573\pi\) | |||||||
\(654\) | −27.5847 | −1.07865 | ||||||||
\(655\) | −4.19980 | + | 2.91208i | −0.164100 | + | 0.113784i | ||||
\(656\) | −1.29180 | + | 9.31579i | −0.0504363 | + | 0.363720i | ||||
\(657\) | −9.69204 | + | 38.2730i | −0.378123 | + | 1.49317i | ||||
\(658\) | 8.92171 | − | 1.48877i | 0.347805 | − | 0.0580383i | ||||
\(659\) | 5.77899 | − | 1.63414i | 0.225118 | − | 0.0636572i | −0.157677 | − | 0.987491i | \(-0.550400\pi\) |
0.382794 | + | 0.923834i | \(0.374962\pi\) | |||||||
\(660\) | −4.75768 | + | 8.24055i | −0.185193 | + | 0.320763i | ||||
\(661\) | −39.0722 | + | 18.4386i | −1.51973 | + | 0.717180i | −0.991279 | − | 0.131781i | \(-0.957930\pi\) |
−0.528455 | + | 0.848961i | \(0.677229\pi\) | |||||||
\(662\) | −4.47311 | + | 22.8998i | −0.173852 | + | 0.890026i | ||||
\(663\) | −23.7705 | − | 23.1243i | −0.923169 | − | 0.898073i | ||||
\(664\) | −6.17823 | + | 3.34349i | −0.239762 | + | 0.129753i | ||||
\(665\) | 3.01964 | + | 3.08219i | 0.117097 | + | 0.119522i | ||||
\(666\) | 12.6287 | + | 6.83428i | 0.489350 | + | 0.264823i | ||||
\(667\) | 3.32267 | + | 10.6232i | 0.128654 | + | 0.411330i | ||||
\(668\) | 4.15736 | − | 7.20076i | 0.160853 | − | 0.278606i | ||||
\(669\) | 5.36289 | + | 27.4550i | 0.207341 | + | 1.06147i | ||||
\(670\) | 8.87645 | − | 1.98926i | 0.342927 | − | 0.0768518i | ||||
\(671\) | −34.0213 | + | 3.76548i | −1.31338 | + | 0.145365i | ||||
\(672\) | 0.973854 | + | 3.84566i | 0.0375672 | + | 0.148350i | ||||
\(673\) | −1.23915 | − | 2.82498i | −0.0477657 | − | 0.108895i | 0.890270 | − | 0.455432i | \(-0.150515\pi\) |
−0.938036 | + | 0.346537i | \(0.887357\pi\) | |||||||
\(674\) | 26.6069 | − | 7.52371i | 1.02486 | − | 0.289802i | ||||
\(675\) | −10.0544 | − | 51.4730i | −0.386995 | − | 1.98120i | ||||
\(676\) | 26.9260 | + | 20.9574i | 1.03562 | + | 0.806052i | ||||
\(677\) | −0.0598986 | + | 0.722869i | −0.00230209 | + | 0.0277821i | −0.997639 | − | 0.0686803i | \(-0.978121\pi\) |
0.995337 | + | 0.0964624i | \(0.0307527\pi\) | |||||||
\(678\) | −24.4375 | + | 23.7732i | −0.938516 | + | 0.913003i | ||||
\(679\) | −3.35998 | + | 1.36471i | −0.128944 | + | 0.0523726i | ||||
\(680\) | 1.11689 | + | 0.453642i | 0.0428308 | + | 0.0173964i | ||||
\(681\) | 55.0987 | + | 53.6008i | 2.11139 | + | 2.05399i | ||||
\(682\) | 18.5604 | − | 16.1643i | 0.710714 | − | 0.618961i | ||||
\(683\) | −33.3461 | + | 11.4477i | −1.27595 | + | 0.438035i | −0.877687 | − | 0.479235i | \(-0.840914\pi\) |
−0.398266 | + | 0.917270i | \(0.630388\pi\) | |||||||
\(684\) | −26.5499 | − | 13.3184i | −1.01516 | − | 0.509240i | ||||
\(685\) | −5.12494 | − | 1.75940i | −0.195814 | − | 0.0672231i | ||||
\(686\) | −14.5438 | + | 5.90718i | −0.555285 | + | 0.225537i | ||||
\(687\) | −57.9571 | + | 3.19758i | −2.21120 | + | 0.121995i | ||||
\(688\) | 6.81001 | + | 4.18610i | 0.259629 | + | 0.159593i | ||||
\(689\) | 56.5164 | − | 68.6241i | 2.15310 | − | 2.61437i | ||||
\(690\) | 9.31204 | + | 3.78222i | 0.354503 | + | 0.143987i | ||||
\(691\) | −13.3981 | + | 7.25071i | −0.509689 | + | 0.275830i | −0.710372 | − | 0.703826i | \(-0.751473\pi\) |
0.200683 | + | 0.979656i | \(0.435684\pi\) | |||||||
\(692\) | −6.90897 | + | 7.50514i | −0.262640 | + | 0.285303i | ||||
\(693\) | −33.4767 | − | 1.84696i | −1.27167 | − | 0.0701602i | ||||
\(694\) | −1.37228 | − | 2.37686i | −0.0520912 | − | 0.0902246i | ||||
\(695\) | 1.84058 | − | 0.996071i | 0.0698171 | − | 0.0377831i | ||||
\(696\) | 8.03606 | + | 2.75878i | 0.304606 | + | 0.104571i | ||||
\(697\) | −4.32947 | + | 13.8421i | −0.163990 | + | 0.524306i | ||||
\(698\) | −18.4966 | − | 5.23033i | −0.700105 | − | 0.197971i | ||||
\(699\) | 19.6999 | + | 52.6160i | 0.745117 | + | 1.99012i | ||||
\(700\) | 5.42316 | − | 1.21536i | 0.204976 | − | 0.0459362i | ||||
\(701\) | −6.27935 | − | 8.54337i | −0.237168 | − | 0.322678i | 0.670863 | − | 0.741581i | \(-0.265924\pi\) |
−0.908031 | + | 0.418902i | \(0.862415\pi\) | |||||||
\(702\) | −80.9089 | + | 13.5013i | −3.05371 | + | 0.509574i | ||||
\(703\) | −3.48646 | − | 8.49771i | −0.131494 | − | 0.320497i | ||||
\(704\) | 3.83245 | + | 0.639522i | 0.144441 | + | 0.0241029i | ||||
\(705\) | −7.89862 | − | 15.6081i | −0.297479 | − | 0.587835i | ||||
\(706\) | −13.0869 | − | 17.8053i | −0.492531 | − | 0.670112i | ||||
\(707\) | 15.7545 | − | 4.45496i | 0.592510 | − | 0.167546i | ||||
\(708\) | 0.836528 | − | 30.3477i | 0.0314386 | − | 1.14054i | ||||
\(709\) | −20.0142 | − | 24.3019i | −0.751648 | − | 0.912675i | 0.246760 | − | 0.969077i | \(-0.420634\pi\) |
−0.998408 | + | 0.0564011i | \(0.982037\pi\) | |||||||
\(710\) | 6.42282 | + | 6.97705i | 0.241044 | + | 0.261844i | ||||
\(711\) | −58.0425 | − | 19.9260i | −2.17676 | − | 0.747284i | ||||
\(712\) | 8.16670 | + | 3.31703i | 0.306060 | + | 0.124311i | ||||
\(713\) | −19.6049 | − | 17.0739i | −0.734208 | − | 0.639422i | ||||
\(714\) | 0.505188 | + | 6.09671i | 0.0189062 | + | 0.228164i | ||||
\(715\) | 11.4037 | − | 17.4547i | 0.426475 | − | 0.652768i | ||||
\(716\) | 0.795678 | + | 4.07343i | 0.0297359 | + | 0.152231i | ||||
\(717\) | 41.6456 | + | 56.6609i | 1.55528 | + | 2.11604i | ||||
\(718\) | −9.55849 | + | 18.8881i | −0.356720 | + | 0.704898i | ||||
\(719\) | 5.28464 | − | 14.1146i | 0.197084 | − | 0.526387i | −0.800225 | − | 0.599700i | \(-0.795287\pi\) |
0.997309 | + | 0.0733122i | \(0.0233569\pi\) | |||||||
\(720\) | 4.53815 | − | 2.78959i | 0.169127 | − | 0.103962i | ||||
\(721\) | −16.8468 | −0.627409 | ||||||||
\(722\) | 7.75483 | + | 17.3454i | 0.288605 | + | 0.645529i | ||||
\(723\) | 65.6000 | 2.43969 | ||||||||
\(724\) | −8.93352 | + | 5.49141i | −0.332012 | + | 0.204087i | ||||
\(725\) | 4.17368 | − | 11.1474i | 0.155007 | − | 0.414004i | ||||
\(726\) | −5.79492 | + | 11.4511i | −0.215070 | + | 0.424989i | ||||
\(727\) | 16.4068 | + | 22.3223i | 0.608496 | + | 0.827888i | 0.995557 | − | 0.0941659i | \(-0.0300184\pi\) |
−0.387061 | + | 0.922054i | \(0.626510\pi\) | |||||||
\(728\) | −1.66644 | − | 8.53122i | −0.0617622 | − | 0.316188i | ||||
\(729\) | 1.90700 | − | 2.91888i | 0.0706297 | − | 0.108107i | ||||
\(730\) | 0.374015 | + | 4.51369i | 0.0138429 | + | 0.167059i | ||||
\(731\) | 9.29598 | + | 8.09588i | 0.343824 | + | 0.299437i | ||||
\(732\) | 25.5699 | + | 10.3856i | 0.945091 | + | 0.383863i | ||||
\(733\) | −29.6150 | − | 10.1669i | −1.09386 | − | 0.375521i | −0.282021 | − | 0.959408i | \(-0.591005\pi\) |
−0.811835 | + | 0.583887i | \(0.801531\pi\) | |||||||
\(734\) | −0.918339 | − | 0.997582i | −0.0338965 | − | 0.0368214i | ||||
\(735\) | 8.40166 | + | 10.2016i | 0.309900 | + | 0.376291i | ||||
\(736\) | 0.113085 | − | 4.10253i | 0.00416838 | − | 0.151221i | ||||
\(737\) | 43.5073 | − | 12.3027i | 1.60261 | − | 0.453175i | ||||
\(738\) | 37.9556 | + | 51.6404i | 1.39716 | + | 1.90091i | ||||
\(739\) | 5.60928 | + | 11.0842i | 0.206341 | + | 0.407740i | 0.971821 | − | 0.235719i | \(-0.0757444\pi\) |
−0.765481 | + | 0.643459i | \(0.777499\pi\) | |||||||
\(740\) | 1.62479 | + | 0.271130i | 0.0597286 | + | 0.00996695i | ||||
\(741\) | 81.3441 | + | 46.5820i | 2.98825 | + | 1.71123i | ||||
\(742\) | −16.1761 | + | 2.69931i | −0.593842 | + | 0.0990947i | ||||
\(743\) | 7.51205 | + | 10.2205i | 0.275590 | + | 0.374954i | 0.921447 | − | 0.388505i | \(-0.127008\pi\) |
−0.645856 | + | 0.763459i | \(0.723500\pi\) | |||||||
\(744\) | −19.3644 | + | 4.33967i | −0.709935 | + | 0.159100i | ||||
\(745\) | 1.70486 | + | 4.55347i | 0.0624611 | + | 0.166826i | ||||
\(746\) | 12.8153 | + | 3.62382i | 0.469201 | + | 0.132677i | ||||
\(747\) | −14.2900 | + | 45.6878i | −0.522845 | + | 1.67163i | ||||
\(748\) | 5.66710 | + | 1.94552i | 0.207210 | + | 0.0711351i | ||||
\(749\) | −10.1631 | + | 5.50000i | −0.371352 | + | 0.200966i | ||||
\(750\) | −11.4966 | − | 19.9127i | −0.419798 | − | 0.727111i | ||||
\(751\) | 12.1502 | + | 0.670345i | 0.443367 | + | 0.0244612i | 0.275396 | − | 0.961331i | \(-0.411191\pi\) |
0.167971 | + | 0.985792i | \(0.446279\pi\) | |||||||
\(752\) | −4.83777 | + | 5.25521i | −0.176415 | + | 0.191638i | ||||
\(753\) | 28.2690 | − | 15.2984i | 1.03018 | − | 0.557504i | ||||
\(754\) | −17.2486 | − | 7.00576i | −0.628156 | − | 0.255135i | ||||
\(755\) | −3.15197 | + | 3.82723i | −0.114712 | + | 0.139287i | ||||
\(756\) | 12.8911 | + | 7.92412i | 0.468844 | + | 0.288198i | ||||
\(757\) | −47.2139 | + | 2.60487i | −1.71602 | + | 0.0946755i | −0.886184 | − | 0.463333i | \(-0.846654\pi\) |
−0.829836 | + | 0.558008i | \(0.811566\pi\) | |||||||
\(758\) | 10.7325 | − | 4.35917i | 0.389823 | − | 0.158332i | ||||
\(759\) | 47.2493 | + | 16.2207i | 1.71504 | + | 0.588774i | ||||
\(760\) | −3.37680 | − | 0.456113i | −0.122489 | − | 0.0165450i | ||||
\(761\) | −4.65540 | + | 1.59820i | −0.168758 | + | 0.0579347i | −0.407784 | − | 0.913079i | \(-0.633698\pi\) |
0.239026 | + | 0.971013i | \(0.423172\pi\) | |||||||
\(762\) | −3.06544 | + | 2.66969i | −0.111049 | + | 0.0967127i | ||||
\(763\) | −7.99211 | − | 7.77484i | −0.289334 | − | 0.281468i | ||||
\(764\) | 0.827084 | + | 0.335932i | 0.0299228 | + | 0.0121536i | ||||
\(765\) | 7.61091 | − | 3.09128i | 0.275173 | − | 0.111766i | ||||
\(766\) | −3.48274 | + | 3.38807i | −0.125837 | + | 0.122416i | ||||
\(767\) | −5.49334 | + | 66.2947i | −0.198353 | + | 2.39376i | ||||
\(768\) | −2.47221 | − | 1.92420i | −0.0892082 | − | 0.0694336i | ||||
\(769\) | 4.30243 | + | 22.0260i | 0.155150 | + | 0.794279i | 0.975086 | + | 0.221825i | \(0.0712014\pi\) |
−0.819937 | + | 0.572454i | \(0.805992\pi\) | |||||||
\(770\) | −3.70107 | + | 1.04656i | −0.133377 | + | 0.0377155i | ||||
\(771\) | 31.7885 | + | 72.4705i | 1.14483 | + | 2.60996i | ||||
\(772\) | −4.88416 | − | 19.2871i | −0.175785 | − | 0.694158i | ||||
\(773\) | −27.6738 | + | 3.06294i | −0.995358 | + | 0.110166i | −0.592903 | − | 0.805274i | \(-0.702018\pi\) |
−0.402455 | + | 0.915440i | \(0.631843\pi\) | |||||||
\(774\) | 53.1538 | − | 11.9120i | 1.91057 | − | 0.428169i | ||||
\(775\) | 5.32987 | + | 27.2860i | 0.191455 | + | 0.980141i | ||||
\(776\) | 1.43195 | − | 2.48021i | 0.0514040 | − | 0.0890343i | ||||
\(777\) | 2.49541 | + | 7.97827i | 0.0895223 | + | 0.286219i | ||||
\(778\) | −13.1015 | − | 7.09017i | −0.469711 | − | 0.254195i | ||||
\(779\) | 2.11386 | − | 40.9406i | 0.0757370 | − | 1.46685i | ||||
\(780\) | −14.7848 | + | 8.00111i | −0.529379 | + | 0.286486i | ||||
\(781\) | 33.7854 | + | 32.8670i | 1.20894 | + | 1.17607i | ||||
\(782\) | 1.21332 | − | 6.21153i | 0.0433883 | − | 0.222124i | ||||
\(783\) | 29.3089 | − | 13.8312i | 1.04741 | − | 0.494286i | ||||
\(784\) | 2.69824 | − | 4.67349i | 0.0963658 | − | 0.166910i | ||||
\(785\) | 11.6230 | − | 3.28667i | 0.414843 | − | 0.117306i | ||||
\(786\) | 20.2017 | − | 3.37106i | 0.720569 | − | 0.120242i | ||||
\(787\) | −10.4964 | + | 41.4493i | −0.374156 | + | 1.47751i | 0.440599 | + | 0.897704i | \(0.354766\pi\) |
−0.814755 | + | 0.579805i | \(0.803129\pi\) | |||||||
\(788\) | −2.36682 | + | 17.0683i | −0.0843146 | + | 0.608033i | ||||
\(789\) | 11.6643 | − | 8.08787i | 0.415261 | − | 0.287936i | ||||
\(790\) | −7.03991 | −0.250469 | ||||||||
\(791\) | −13.7808 | −0.489989 | ||||||||
\(792\) | 21.7581 | − | 15.0867i | 0.773139 | − | 0.536083i | ||||
\(793\) | −54.6892 | − | 25.8084i | −1.94207 | − | 0.916484i | ||||
\(794\) | 21.2020 | − | 28.8464i | 0.752432 | − | 1.02372i | ||||
\(795\) | 14.3211 | + | 28.2992i | 0.507916 | + | 1.00367i | ||||
\(796\) | −17.4517 | + | 3.91103i | −0.618561 | + | 0.138623i | ||||
\(797\) | 5.97068 | + | 4.64717i | 0.211492 | + | 0.164611i | 0.714419 | − | 0.699718i | \(-0.246691\pi\) |
−0.502927 | + | 0.864329i | \(0.667744\pi\) | |||||||
\(798\) | −5.67238 | − | 16.3351i | −0.200800 | − | 0.578258i | ||||
\(799\) | −8.69247 | + | 6.76562i | −0.307518 | + | 0.239351i | ||||
\(800\) | −2.79013 | + | 3.38787i | −0.0986460 | + | 0.119779i | ||||
\(801\) | 55.6509 | − | 22.6035i | 1.96633 | − | 0.798654i | ||||
\(802\) | 3.59035 | − | 11.4790i | 0.126780 | − | 0.405337i | ||||
\(803\) | 3.09203 | + | 22.2981i | 0.109115 | + | 0.786883i | ||||
\(804\) | −35.5727 | − | 7.97202i | −1.25455 | − | 0.281151i | ||||
\(805\) | 1.63194 | + | 3.72045i | 0.0575184 | + | 0.131129i | ||||
\(806\) | 42.8900 | − | 7.15708i | 1.51074 | − | 0.252097i | ||||
\(807\) | −14.6257 | + | 28.9011i | −0.514847 | + | 1.01737i | ||||
\(808\) | −7.65715 | + | 10.4179i | −0.269377 | + | 0.366501i | ||||
\(809\) | 12.7158 | − | 28.9890i | 0.447063 | − | 1.01920i | −0.537355 | − | 0.843356i | \(-0.680577\pi\) |
0.984418 | − | 0.175844i | \(-0.0562656\pi\) | |||||||
\(810\) | 3.26091 | − | 12.8771i | 0.114577 | − | 0.452453i | ||||
\(811\) | 19.6746 | − | 38.8781i | 0.690870 | − | 1.36520i | −0.229176 | − | 0.973385i | \(-0.573603\pi\) |
0.920046 | − | 0.391811i | \(-0.128151\pi\) | |||||||
\(812\) | 1.55071 | + | 3.06429i | 0.0544193 | + | 0.107535i | ||||
\(813\) | −15.2686 | + | 1.68993i | −0.535493 | + | 0.0592683i | ||||
\(814\) | 8.13775 | + | 0.900686i | 0.285228 | + | 0.0315690i | ||||
\(815\) | −1.44065 | − | 10.3892i | −0.0504639 | − | 0.363920i | ||||
\(816\) | −3.27201 | − | 3.55435i | −0.114543 | − | 0.124427i | ||||
\(817\) | −31.1449 | − | 15.6233i | −1.08962 | − | 0.546591i | ||||
\(818\) | 6.24917 | − | 6.78840i | 0.218497 | − | 0.237351i | ||||
\(819\) | −48.6769 | − | 33.7518i | −1.70091 | − | 1.17938i | ||||
\(820\) | 6.04177 | + | 4.18927i | 0.210988 | + | 0.146296i | ||||
\(821\) | −2.36633 | − | 4.09860i | −0.0825855 | − | 0.143042i | 0.821774 | − | 0.569813i | \(-0.192984\pi\) |
−0.904360 | + | 0.426771i | \(0.859651\pi\) | |||||||
\(822\) | 15.5649 | + | 15.1418i | 0.542888 | + | 0.528130i | ||||
\(823\) | −31.5922 | − | 27.5137i | −1.10123 | − | 0.959066i | −0.101873 | − | 0.994797i | \(-0.532484\pi\) |
−0.999361 | + | 0.0357313i | \(0.988624\pi\) | |||||||
\(824\) | 10.4987 | − | 8.17147i | 0.365740 | − | 0.284667i | ||||
\(825\) | −29.2196 | − | 44.7239i | −1.01729 | − | 1.55708i | ||||
\(826\) | 8.79596 | − | 8.55684i | 0.306051 | − | 0.297731i | ||||
\(827\) | 1.05394 | − | 3.36964i | 0.0366491 | − | 0.117174i | −0.934281 | − | 0.356539i | \(-0.883957\pi\) |
0.970930 | + | 0.239365i | \(0.0769392\pi\) | |||||||
\(828\) | −18.9414 | − | 20.5758i | −0.658259 | − | 0.715059i | ||||
\(829\) | −33.9150 | − | 18.3539i | −1.17792 | − | 0.637456i | −0.235492 | − | 0.971876i | \(-0.575670\pi\) |
−0.942424 | + | 0.334420i | \(0.891460\pi\) | |||||||
\(830\) | 0.151316 | + | 5.48948i | 0.00525227 | + | 0.190543i | ||||
\(831\) | 4.85583 | − | 24.8591i | 0.168447 | − | 0.862353i | ||||
\(832\) | 5.17653 | + | 4.50824i | 0.179464 | + | 0.156295i | ||||
\(833\) | 5.29045 | − | 6.42384i | 0.183303 | − | 0.222573i | ||||
\(834\) | −8.37430 | + | 0.462023i | −0.289978 | + | 0.0159985i | ||||
\(835\) | −3.55507 | − | 5.44144i | −0.123028 | − | 0.188309i | ||||
\(836\) | −16.8832 | − | 1.33901i | −0.583918 | − | 0.0463106i | ||||
\(837\) | −41.4014 | + | 63.3696i | −1.43104 | + | 2.19037i | ||||
\(838\) | −2.56796 | + | 4.44784i | −0.0887087 | + | 0.153648i | ||||
\(839\) | −0.795903 | + | 28.8739i | −0.0274776 | + | 0.996837i | 0.852760 | + | 0.522304i | \(0.174927\pi\) |
−0.880237 | + | 0.474534i | \(0.842617\pi\) | |||||||
\(840\) | 3.02609 | + | 0.678162i | 0.104410 | + | 0.0233988i | ||||
\(841\) | −21.5132 | − | 2.38108i | −0.741834 | − | 0.0821062i | ||||
\(842\) | −2.83358 | − | 7.56816i | −0.0976516 | − | 0.260816i | ||||
\(843\) | 0.396080 | + | 0.308282i | 0.0136417 | + | 0.0106178i | ||||
\(844\) | 0.970462 | − | 1.48540i | 0.0334047 | − | 0.0511297i | ||||
\(845\) | 24.1219 | − | 11.3834i | 0.829820 | − | 0.391601i | ||||
\(846\) | 1.34119 | + | 48.6560i | 0.0461112 | + | 1.67283i | ||||
\(847\) | −4.90648 | + | 1.68440i | −0.168589 | + | 0.0578765i | ||||
\(848\) | 8.77141 | − | 9.52829i | 0.301212 | − | 0.327203i | ||||
\(849\) | −20.5857 | − | 35.6556i | −0.706501 | − | 1.22370i | ||||
\(850\) | −5.10390 | + | 4.44499i | −0.175062 | + | 0.152462i | ||||
\(851\) | −0.238295 | − | 8.64490i | −0.00816864 | − | 0.296343i | ||||
\(852\) | −11.3449 | − | 36.2716i | −0.388669 | − | 1.24264i | ||||
\(853\) | 0.956546 | − | 34.7017i | 0.0327515 | − | 1.18816i | −0.787557 | − | 0.616242i | \(-0.788654\pi\) |
0.820308 | − | 0.571922i | \(-0.193802\pi\) | |||||||
\(854\) | 4.48114 | + | 10.2160i | 0.153342 | + | 0.349584i | ||||
\(855\) | −18.6610 | + | 13.8175i | −0.638193 | + | 0.472548i | ||||
\(856\) | 3.66576 | − | 8.35709i | 0.125293 | − | 0.285639i | ||||
\(857\) | −43.7050 | − | 20.6249i | −1.49293 | − | 0.704532i | −0.505538 | − | 0.862805i | \(-0.668706\pi\) |
−0.987395 | + | 0.158272i | \(0.949408\pi\) | |||||||
\(858\) | −71.1829 | + | 43.7560i | −2.43014 | + | 1.49380i | ||||
\(859\) | 14.0186 | − | 9.72030i | 0.478310 | − | 0.331653i | −0.305990 | − | 0.952035i | \(-0.598987\pi\) |
0.784300 | + | 0.620382i | \(0.213023\pi\) | |||||||
\(860\) | 5.32356 | − | 3.27238i | 0.181532 | − | 0.111587i | ||||
\(861\) | −5.12464 | + | 36.9562i | −0.174647 | + | 1.25946i | ||||
\(862\) | −6.03371 | + | 13.7555i | −0.205509 | + | 0.468513i | ||||
\(863\) | −7.81565 | − | 1.30420i | −0.266048 | − | 0.0443955i | 0.0300670 | − | 0.999548i | \(-0.490428\pi\) |
−0.296115 | + | 0.955152i | \(0.595691\pi\) | |||||||
\(864\) | −11.8771 | + | 1.31456i | −0.404067 | + | 0.0447222i | ||||
\(865\) | 2.79613 | + | 7.46812i | 0.0950711 | + | 0.253924i | ||||
\(866\) | −0.893548 | + | 10.7835i | −0.0303640 | + | 0.366439i | ||||
\(867\) | 25.0543 | + | 38.3484i | 0.850888 | + | 1.30238i | ||||
\(868\) | −6.83360 | − | 4.20060i | −0.231947 | − | 0.142578i | ||||
\(869\) | −34.9376 | + | 1.92756i | −1.18518 | + | 0.0653880i | ||||
\(870\) | 4.76077 | − | 4.63135i | 0.161405 | − | 0.157018i | ||||
\(871\) | 76.8648 | + | 21.7353i | 2.60447 | + | 0.736473i | ||||
\(872\) | 8.75172 | + | 0.968640i | 0.296371 | + | 0.0328023i | ||||
\(873\) | −4.79081 | − | 18.9185i | −0.162144 | − | 0.640294i | ||||
\(874\) | 1.04851 | + | 17.8585i | 0.0354664 | + | 0.604074i | ||||
\(875\) | 2.28156 | − | 9.00967i | 0.0771308 | − | 0.304583i | ||||
\(876\) | 6.36434 | − | 16.9984i | 0.215031 | − | 0.574323i | ||||
\(877\) | −27.4797 | − | 12.9680i | −0.927923 | − | 0.437897i | −0.0976287 | − | 0.995223i | \(-0.531126\pi\) |
−0.830294 | + | 0.557326i | \(0.811828\pi\) | |||||||
\(878\) | −2.71303 | + | 19.5650i | −0.0915604 | + | 0.660286i | ||||
\(879\) | 24.4325 | − | 65.2564i | 0.824089 | − | 2.20104i | ||||
\(880\) | 1.79882 | − | 2.44739i | 0.0606383 | − | 0.0825014i | ||||
\(881\) | 13.8363 | + | 2.30887i | 0.466156 | + | 0.0777877i | 0.393011 | − | 0.919534i | \(-0.371433\pi\) |
0.0731449 | + | 0.997321i | \(0.476696\pi\) | |||||||
\(882\) | −9.02740 | − | 35.6484i | −0.303968 | − | 1.20034i | ||||
\(883\) | −1.52689 | − | 0.342184i | −0.0513839 | − | 0.0115154i | 0.192913 | − | 0.981216i | \(-0.438206\pi\) |
−0.244297 | + | 0.969700i | \(0.578557\pi\) | |||||||
\(884\) | 6.72958 | + | 8.17127i | 0.226340 | + | 0.274830i | ||||
\(885\) | −20.8722 | − | 11.2955i | −0.701610 | − | 0.379693i | ||||
\(886\) | 6.87689 | − | 2.36084i | 0.231034 | − | 0.0793140i | ||||
\(887\) | 3.74612 | + | 0.206679i | 0.125782 | + | 0.00693961i | 0.117870 | − | 0.993029i | \(-0.462394\pi\) |
0.00791285 | + | 0.999969i | \(0.497481\pi\) | |||||||
\(888\) | −5.42493 | − | 3.76156i | −0.182049 | − | 0.126230i | ||||
\(889\) | −1.64061 | − | 0.0905149i | −0.0550242 | − | 0.00303577i | ||||
\(890\) | 5.19626 | − | 4.52543i | 0.174179 | − | 0.151693i | ||||
\(891\) | 12.6574 | − | 64.7989i | 0.424039 | − | 2.17084i | ||||
\(892\) | −0.737382 | − | 8.89888i | −0.0246894 | − | 0.297956i | ||||
\(893\) | 19.0368 | − | 24.6374i | 0.637043 | − | 0.824460i | ||||
\(894\) | 1.60908 | − | 19.4187i | 0.0538157 | − | 0.649459i | ||||
\(895\) | 3.12206 | + | 0.882835i | 0.104359 | + | 0.0295099i | ||||
\(896\) | −0.173931 | − | 1.25430i | −0.00581062 | − | 0.0419032i | ||||
\(897\) | 56.1076 | + | 68.1277i | 1.87338 | + | 2.27472i | ||||
\(898\) | −4.89225 | − | 15.6414i | −0.163257 | − | 0.521960i | ||||
\(899\) | −15.5367 | + | 7.33195i | −0.518178 | + | 0.244534i | ||||
\(900\) | 2.46975 | + | 29.8055i | 0.0823251 | + | 0.993516i | ||||
\(901\) | 15.7604 | − | 12.2668i | 0.525056 | − | 0.408668i | ||||
\(902\) | 31.1311 | + | 19.1362i | 1.03655 | + | 0.637165i | ||||
\(903\) | 27.0157 | + | 16.6065i | 0.899025 | + | 0.552628i | ||||
\(904\) | 8.58801 | − | 6.68431i | 0.285633 | − | 0.222317i | ||||
\(905\) | 0.676939 | + | 8.16944i | 0.0225022 | + | 0.271561i | ||||
\(906\) | 17.9693 | − | 8.47991i | 0.596990 | − | 0.281726i | ||||
\(907\) | 11.4845 | + | 36.7179i | 0.381336 | + | 1.21920i | 0.925023 | + | 0.379911i | \(0.124045\pi\) |
−0.543687 | + | 0.839288i | \(0.682972\pi\) | |||||||
\(908\) | −15.5988 | − | 18.9406i | −0.517664 | − | 0.628565i | ||||
\(909\) | 12.1015 | + | 87.2695i | 0.401381 | + | 2.89455i | ||||
\(910\) | −6.53872 | − | 1.84897i | −0.216757 | − | 0.0612929i | ||||
\(911\) | 3.74468 | − | 45.1915i | 0.124067 | − | 1.49726i | −0.595790 | − | 0.803140i | \(-0.703161\pi\) |
0.719857 | − | 0.694123i | \(-0.244207\pi\) | |||||||
\(912\) | 11.4582 | + | 7.42847i | 0.379420 | + | 0.245981i | ||||
\(913\) | 2.25399 | + | 27.2017i | 0.0745963 | + | 0.900244i | ||||
\(914\) | −4.26323 | + | 21.8253i | −0.141015 | + | 0.721918i | ||||
\(915\) | 16.2695 | − | 14.1691i | 0.537853 | − | 0.468416i | ||||
\(916\) | 18.5002 | + | 1.02068i | 0.611262 | + | 0.0337243i | ||||
\(917\) | 6.80316 | + | 4.71721i | 0.224660 | + | 0.155776i | ||||
\(918\) | −18.3996 | − | 1.01513i | −0.607277 | − | 0.0335044i | ||||
\(919\) | −8.88602 | + | 3.05057i | −0.293123 | + | 0.100629i | −0.467339 | − | 0.884078i | \(-0.654787\pi\) |
0.174216 | + | 0.984707i | \(0.444261\pi\) | |||||||
\(920\) | −2.82159 | − | 1.52697i | −0.0930250 | − | 0.0503426i | ||||
\(921\) | −69.0460 | − | 83.8379i | −2.27514 | − | 2.76255i | ||||
\(922\) | −20.9494 | − | 4.69488i | −0.689932 | − | 0.154617i | ||||
\(923\) | 20.4425 | + | 80.7256i | 0.672873 | + | 2.65712i | ||||
\(924\) | 15.2035 | + | 2.53702i | 0.500159 | + | 0.0834617i | ||||
\(925\) | −5.47720 | + | 7.45200i | −0.180089 | + | 0.245020i | ||||
\(926\) | 2.59414 | − | 6.92865i | 0.0852488 | − | 0.227689i | ||||
\(927\) | 12.4522 | − | 89.7990i | 0.408985 | − | 2.94939i | ||||
\(928\) | −2.45270 | − | 1.15746i | −0.0805138 | − | 0.0379954i | ||||
\(929\) | −4.41376 | + | 11.7886i | −0.144811 | + | 0.386772i | −0.988732 | − | 0.149694i | \(-0.952171\pi\) |
0.843922 | + | 0.536466i | \(0.180241\pi\) | |||||||
\(930\) | −3.80825 | + | 15.0385i | −0.124878 | + | 0.493130i | ||||
\(931\) | −9.96381 | + | 21.3082i | −0.326551 | + | 0.698349i | ||||
\(932\) | −4.40250 | − | 17.3851i | −0.144209 | − | 0.569467i | ||||
\(933\) | 40.2224 | + | 4.45181i | 1.31682 | + | 0.145746i | ||||
\(934\) | 8.54641 | + | 2.41669i | 0.279647 | + | 0.0790766i | ||||
\(935\) | 3.35734 | − | 3.26607i | 0.109797 | − | 0.106812i | ||||
\(936\) | 46.7059 | − | 2.57684i | 1.52663 | − | 0.0842265i | ||||
\(937\) | −4.60502 | − | 2.83069i | −0.150439 | − | 0.0924747i | 0.446408 | − | 0.894830i | \(-0.352703\pi\) |
−0.596847 | + | 0.802355i | \(0.703580\pi\) | |||||||
\(938\) | −8.05951 | − | 12.3360i | −0.263152 | − | 0.402785i | ||||
\(939\) | −6.53267 | + | 78.8376i | −0.213186 | + | 2.57277i | ||||
\(940\) | 1.95789 | + | 5.22929i | 0.0638593 | + | 0.170561i | ||||
\(941\) | −5.17866 | + | 0.573174i | −0.168820 | + | 0.0186849i | −0.194021 | − | 0.980997i | \(-0.562153\pi\) |
0.0252010 | + | 0.999682i | \(0.491977\pi\) | |||||||
\(942\) | −47.7458 | − | 7.96736i | −1.55564 | − | 0.259591i | ||||
\(943\) | 15.5049 | − | 35.3476i | 0.504909 | − | 1.15108i | ||||
\(944\) | −1.33106 | + | 9.59894i | −0.0433224 | + | 0.312419i | ||||
\(945\) | 10.0773 | − | 6.19449i | 0.327814 | − | 0.201507i | ||||
\(946\) | 25.5237 | − | 17.6977i | 0.829847 | − | 0.575403i | ||||
\(947\) | −16.4084 | + | 10.0862i | −0.533202 | + | 0.327758i | −0.763971 | − | 0.645250i | \(-0.776753\pi\) |
0.230769 | + | 0.973009i | \(0.425876\pi\) | |||||||
\(948\) | 25.5143 | + | 12.0405i | 0.828667 | + | 0.391057i | ||||
\(949\) | −15.9759 | + | 36.4215i | −0.518601 | + | 1.18229i | ||||
\(950\) | 10.8453 | − | 15.7596i | 0.351869 | − | 0.511310i | ||||
\(951\) | −26.9074 | − | 61.3426i | −0.872531 | − | 1.98917i | ||||
\(952\) | 0.0538072 | − | 1.95202i | 0.00174390 | − | 0.0632655i | ||||
\(953\) | −3.37035 | − | 10.7756i | −0.109176 | − | 0.349056i | 0.883724 | − | 0.468009i | \(-0.155029\pi\) |
−0.992900 | + | 0.118953i | \(0.962046\pi\) | |||||||
\(954\) | −2.43174 | − | 88.2188i | −0.0787303 | − | 2.85619i | ||||
\(955\) | 0.526252 | − | 0.458313i | 0.0170291 | − | 0.0148307i | ||||
\(956\) | −11.2231 | − | 19.4390i | −0.362982 | − | 0.628703i | ||||
\(957\) | 22.3586 | − | 24.2879i | 0.722751 | − | 0.785117i | ||||
\(958\) | −11.8428 | + | 4.06563i | −0.382622 | + | 0.131354i | ||||
\(959\) | 0.241855 | + | 8.77403i | 0.00780989 | + | 0.283328i | ||||
\(960\) | −2.21475 | + | 1.04517i | −0.0714809 | + | 0.0337326i | ||||
\(961\) | 4.99159 | − | 7.64020i | 0.161019 | − | 0.246458i | ||||
\(962\) | 11.4148 | + | 8.88450i | 0.368028 | + | 0.286448i | ||||
\(963\) | −21.8048 | − | 58.2379i | −0.702649 | − | 1.87669i | ||||
\(964\) | −20.8127 | − | 2.30355i | −0.670332 | − | 0.0741924i | ||||
\(965\) | −15.1767 | − | 3.40118i | −0.488555 | − | 0.109488i | ||||
\(966\) | 0.448616 | − | 16.2749i | 0.0144340 | − | 0.523638i | ||||
\(967\) | 17.7801 | − | 30.7960i | 0.571769 | − | 0.990332i | −0.424616 | − | 0.905374i | \(-0.639591\pi\) |
0.996384 | − | 0.0849587i | \(-0.0270758\pi\) | |||||||
\(968\) | 2.24064 | − | 3.42956i | 0.0720169 | − | 0.110230i | ||||
\(969\) | 15.5433 | + | 14.2076i | 0.499322 | + | 0.456413i | ||||
\(970\) | −1.22450 | − | 1.87423i | −0.0393163 | − | 0.0601780i | ||||
\(971\) | 2.26164 | − | 0.124778i | 0.0725796 | − | 0.00400433i | −0.0187616 | − | 0.999824i | \(-0.505972\pi\) |
0.0913412 | + | 0.995820i | \(0.470885\pi\) | |||||||
\(972\) | −11.0522 | + | 13.4200i | −0.354500 | + | 0.430445i | ||||
\(973\) | −2.55650 | − | 2.22646i | −0.0819577 | − | 0.0713771i | ||||
\(974\) | 0.518550 | − | 2.65469i | 0.0166154 | − | 0.0850616i | ||||
\(975\) | −2.60066 | − | 94.3471i | −0.0832877 | − | 3.02152i | ||||
\(976\) | −7.74780 | − | 4.19290i | −0.248001 | − | 0.134211i | ||||
\(977\) | −12.0116 | − | 13.0481i | −0.384285 | − | 0.417444i | 0.513354 | − | 0.858177i | \(-0.328403\pi\) |
−0.897638 | + | 0.440733i | \(0.854719\pi\) | |||||||
\(978\) | −12.5477 | + | 40.1171i | −0.401230 | + | 1.28280i | ||||
\(979\) | 24.5488 | − | 23.8815i | 0.784585 | − | 0.763256i | ||||
\(980\) | −2.30734 | − | 3.53165i | −0.0737052 | − | 0.112814i | ||||
\(981\) | 47.3497 | − | 36.8538i | 1.51176 | − | 1.17665i | ||||
\(982\) | −18.9368 | − | 16.4921i | −0.604297 | − | 0.526283i | ||||
\(983\) | 31.2054 | + | 30.3571i | 0.995299 | + | 0.968242i | 0.999496 | − | 0.0317494i | \(-0.0101078\pi\) |
−0.00419689 | + | 0.999991i | \(0.501336\pi\) | |||||||
\(984\) | −14.7318 | − | 25.5163i | −0.469634 | − | 0.813429i | ||||
\(985\) | 11.0697 | + | 7.67554i | 0.352709 | + | 0.244563i | ||||
\(986\) | −3.43694 | − | 2.38312i | −0.109455 | − | 0.0758941i | ||||
\(987\) | −19.1917 | + | 20.8477i | −0.610877 | + | 0.663590i | ||||
\(988\) | −24.1720 | − | 17.6353i | −0.769015 | − | 0.561055i | ||||
\(989\) | −22.2195 | − | 24.1368i | −0.706540 | − | 0.767507i | ||||
\(990\) | −2.84289 | − | 20.5014i | −0.0903530 | − | 0.651579i | ||||
\(991\) | 45.0930 | + | 4.99089i | 1.43243 | + | 0.158541i | 0.792489 | − | 0.609886i | \(-0.208785\pi\) |
0.639937 | + | 0.768427i | \(0.278960\pi\) | |||||||
\(992\) | 6.29608 | − | 0.696850i | 0.199901 | − | 0.0221250i | ||||
\(993\) | −33.0053 | − | 65.2203i | −1.04739 | − | 2.06970i | ||||
\(994\) | 6.93632 | − | 13.7065i | 0.220007 | − | 0.434745i | ||||
\(995\) | −3.43210 | + | 13.5531i | −0.108805 | + | 0.429661i | ||||
\(996\) | 8.84035 | − | 20.1540i | 0.280117 | − | 0.638603i | ||||
\(997\) | 27.5381 | − | 37.4669i | 0.872139 | − | 1.18659i | −0.109145 | − | 0.994026i | \(-0.534811\pi\) |
0.981285 | − | 0.192563i | \(-0.0616798\pi\) | |||||||
\(998\) | 7.55449 | − | 14.9281i | 0.239133 | − | 0.472540i | ||||
\(999\) | −24.8370 | + | 4.14456i | −0.785807 | + | 0.131128i |
(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 | 722.2.i.b.505.2 | ✓ | 612 | |
361.178 | even | 57 | inner | 722.2.i.b.539.2 | yes | 612 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
722.2.i.b.505.2 | ✓ | 612 | 1.1 | even | 1 | trivial | |
722.2.i.b.539.2 | yes | 612 | 361.178 | even | 57 | inner |