Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(5,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 3, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.ba (of order \(6\), degree \(2\), 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: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.20 | ||
Character | \(\chi\) | \(=\) | 168.5 |
Dual form | 168.2.ba.c.101.20 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.26535 | − | 0.631567i | 0.894741 | − | 0.446585i | ||||
\(3\) | −1.69273 | − | 0.366975i | −0.977297 | − | 0.211873i | ||||
\(4\) | 1.20225 | − | 1.59831i | 0.601123 | − | 0.799157i | ||||
\(5\) | −2.66818 | − | 1.54047i | −1.19325 | − | 0.688921i | −0.234205 | − | 0.972187i | \(-0.575249\pi\) |
−0.959041 | + | 0.283266i | \(0.908582\pi\) | |||||||
\(6\) | −2.37367 | + | 0.604718i | −0.969047 | + | 0.246875i | ||||
\(7\) | −1.46307 | − | 2.20441i | −0.552987 | − | 0.833190i | ||||
\(8\) | 0.511826 | − | 2.78173i | 0.180958 | − | 0.983491i | ||||
\(9\) | 2.73066 | + | 1.24238i | 0.910220 | + | 0.414126i | ||||
\(10\) | −4.34911 | − | 0.264112i | −1.37531 | − | 0.0835195i | ||||
\(11\) | 0.621780 | + | 1.07696i | 0.187474 | + | 0.324714i | 0.944407 | − | 0.328778i | \(-0.106637\pi\) |
−0.756933 | + | 0.653492i | \(0.773303\pi\) | |||||||
\(12\) | −2.62162 | + | 2.26432i | −0.756796 | + | 0.653652i | ||||
\(13\) | 5.98957 | 1.66121 | 0.830604 | − | 0.556864i | \(-0.187995\pi\) | ||||
0.830604 | + | 0.556864i | \(0.187995\pi\) | |||||||
\(14\) | −3.24353 | − | 1.86534i | −0.866871 | − | 0.498533i | ||||
\(15\) | 3.95119 | + | 3.58676i | 1.02019 | + | 0.926098i | ||||
\(16\) | −1.10921 | − | 3.84313i | −0.277302 | − | 0.960783i | ||||
\(17\) | 0.595854 | + | 1.03205i | 0.144516 | + | 0.250309i | 0.929192 | − | 0.369597i | \(-0.120504\pi\) |
−0.784676 | + | 0.619906i | \(0.787171\pi\) | |||||||
\(18\) | 4.23990 | − | 0.152545i | 0.999353 | − | 0.0359552i | ||||
\(19\) | −0.614126 | + | 1.06370i | −0.140890 | + | 0.244029i | −0.927832 | − | 0.372998i | \(-0.878330\pi\) |
0.786942 | + | 0.617027i | \(0.211663\pi\) | |||||||
\(20\) | −5.66997 | + | 2.41256i | −1.26784 | + | 0.539464i | ||||
\(21\) | 1.66761 | + | 4.26838i | 0.363902 | + | 0.931437i | ||||
\(22\) | 1.46694 | + | 0.970035i | 0.312753 | + | 0.206812i | ||||
\(23\) | −2.56956 | − | 1.48354i | −0.535791 | − | 0.309339i | 0.207581 | − | 0.978218i | \(-0.433441\pi\) |
−0.743371 | + | 0.668879i | \(0.766774\pi\) | |||||||
\(24\) | −1.88721 | + | 4.52089i | −0.385225 | + | 0.922823i | ||||
\(25\) | 2.24612 | + | 3.89040i | 0.449225 | + | 0.778080i | ||||
\(26\) | 7.57893 | − | 3.78282i | 1.48635 | − | 0.741871i | ||||
\(27\) | −4.16634 | − | 3.10509i | −0.801813 | − | 0.597575i | ||||
\(28\) | −5.28231 | − | 0.311808i | −0.998262 | − | 0.0589262i | ||||
\(29\) | 3.19900 | 0.594040 | 0.297020 | − | 0.954871i | \(-0.404007\pi\) | ||||
0.297020 | + | 0.954871i | \(0.404007\pi\) | |||||||
\(30\) | 7.26494 | + | 2.04308i | 1.32639 | + | 0.373014i | ||||
\(31\) | 1.33987 | − | 0.773574i | 0.240648 | − | 0.138938i | −0.374827 | − | 0.927095i | \(-0.622298\pi\) |
0.615474 | + | 0.788157i | \(0.288964\pi\) | |||||||
\(32\) | −3.83074 | − | 4.16238i | −0.677185 | − | 0.735812i | ||||
\(33\) | −0.657290 | − | 2.05117i | −0.114419 | − | 0.357063i | ||||
\(34\) | 1.40578 | + | 0.929587i | 0.241088 | + | 0.159423i | ||||
\(35\) | 0.507883 | + | 8.13559i | 0.0858478 | + | 1.37517i | ||||
\(36\) | 5.26863 | − | 2.87080i | 0.878105 | − | 0.478467i | ||||
\(37\) | 0.334978 | + | 0.193399i | 0.0550700 | + | 0.0317947i | 0.527282 | − | 0.849690i | \(-0.323211\pi\) |
−0.472212 | + | 0.881485i | \(0.656544\pi\) | |||||||
\(38\) | −0.105291 | + | 1.73382i | −0.0170804 | + | 0.281262i | ||||
\(39\) | −10.1387 | − | 2.19802i | −1.62349 | − | 0.351965i | ||||
\(40\) | −5.65083 | + | 6.63371i | −0.893475 | + | 1.04888i | ||||
\(41\) | 9.44060 | 1.47437 | 0.737187 | − | 0.675689i | \(-0.236154\pi\) | ||||
0.737187 | + | 0.675689i | \(0.236154\pi\) | |||||||
\(42\) | 4.80589 | + | 4.34781i | 0.741564 | + | 0.670882i | ||||
\(43\) | 8.29057i | 1.26430i | 0.774846 | + | 0.632150i | \(0.217827\pi\) | ||||
−0.774846 | + | 0.632150i | \(0.782173\pi\) | |||||||
\(44\) | 2.46884 | + | 0.300965i | 0.372192 | + | 0.0453722i | ||||
\(45\) | −5.37204 | − | 7.52140i | −0.800816 | − | 1.12122i | ||||
\(46\) | −4.18836 | − | 0.254350i | −0.617540 | − | 0.0375019i | ||||
\(47\) | 3.34244 | − | 5.78928i | 0.487546 | − | 0.844454i | −0.512352 | − | 0.858776i | \(-0.671226\pi\) |
0.999897 | + | 0.0143219i | \(0.00455895\pi\) | |||||||
\(48\) | 0.467258 | + | 6.91243i | 0.0674429 | + | 0.997723i | ||||
\(49\) | −2.71887 | + | 6.45041i | −0.388410 | + | 0.921486i | ||||
\(50\) | 5.29919 | + | 3.50416i | 0.749419 | + | 0.495563i | ||||
\(51\) | −0.629882 | − | 1.96564i | −0.0882012 | − | 0.275245i | ||||
\(52\) | 7.20094 | − | 9.57321i | 0.998590 | − | 1.32757i | ||||
\(53\) | −5.25317 | − | 9.09875i | −0.721578 | − | 1.24981i | −0.960367 | − | 0.278738i | \(-0.910084\pi\) |
0.238789 | − | 0.971071i | \(-0.423250\pi\) | |||||||
\(54\) | −7.23297 | − | 1.29772i | −0.984283 | − | 0.176597i | ||||
\(55\) | − | 3.83135i | − | 0.516619i | ||||||
\(56\) | −6.88092 | + | 2.94158i | −0.919502 | + | 0.393086i | ||||
\(57\) | 1.42990 | − | 1.57518i | 0.189395 | − | 0.208638i | ||||
\(58\) | 4.04788 | − | 2.02039i | 0.531512 | − | 0.265290i | ||||
\(59\) | 3.22898 | − | 1.86425i | 0.420377 | − | 0.242705i | −0.274862 | − | 0.961484i | \(-0.588632\pi\) |
0.695238 | + | 0.718779i | \(0.255299\pi\) | |||||||
\(60\) | 10.4831 | − | 2.00307i | 1.35336 | − | 0.258595i | ||||
\(61\) | −3.16493 | + | 5.48181i | −0.405227 | + | 0.701874i | −0.994348 | − | 0.106171i | \(-0.966141\pi\) |
0.589121 | + | 0.808045i | \(0.299474\pi\) | |||||||
\(62\) | 1.20685 | − | 1.82506i | 0.153270 | − | 0.231783i | ||||
\(63\) | −1.25642 | − | 7.83718i | −0.158294 | − | 0.987392i | ||||
\(64\) | −7.47607 | − | 2.84752i | −0.934509 | − | 0.355940i | ||||
\(65\) | −15.9813 | − | 9.22678i | −1.98223 | − | 1.14444i | ||||
\(66\) | −2.12716 | − | 2.18034i | −0.261835 | − | 0.268381i | ||||
\(67\) | 10.7324 | − | 6.19634i | 1.31117 | − | 0.757003i | 0.328878 | − | 0.944372i | \(-0.393329\pi\) |
0.982290 | + | 0.187369i | \(0.0599961\pi\) | |||||||
\(68\) | 2.36590 | + | 0.288416i | 0.286908 | + | 0.0349755i | ||||
\(69\) | 3.80515 | + | 3.45419i | 0.458086 | + | 0.415836i | ||||
\(70\) | 5.78082 | + | 9.97364i | 0.690940 | + | 1.19208i | ||||
\(71\) | 6.21100i | 0.737110i | 0.929606 | + | 0.368555i | \(0.120147\pi\) | ||||
−0.929606 | + | 0.368555i | \(0.879853\pi\) | |||||||
\(72\) | 4.85358 | − | 6.96008i | 0.572000 | − | 0.820253i | ||||
\(73\) | −8.92963 | + | 5.15552i | −1.04513 | + | 0.603408i | −0.921283 | − | 0.388893i | \(-0.872858\pi\) |
−0.123851 | + | 0.992301i | \(0.539524\pi\) | |||||||
\(74\) | 0.546010 | + | 0.0331580i | 0.0634724 | + | 0.00385454i | ||||
\(75\) | −2.37440 | − | 7.40966i | −0.274172 | − | 0.855594i | ||||
\(76\) | 0.961791 | + | 2.26039i | 0.110325 | + | 0.259285i | ||||
\(77\) | 1.46435 | − | 2.94632i | 0.166878 | − | 0.335764i | ||||
\(78\) | −14.2173 | + | 3.62200i | −1.60979 | + | 0.410111i | ||||
\(79\) | −6.41425 | + | 11.1098i | −0.721660 | + | 1.24995i | 0.238674 | + | 0.971100i | \(0.423287\pi\) |
−0.960334 | + | 0.278852i | \(0.910046\pi\) | |||||||
\(80\) | −2.96067 | + | 11.9629i | −0.331013 | + | 1.33749i | ||||
\(81\) | 5.91299 | + | 6.78502i | 0.656999 | + | 0.753891i | ||||
\(82\) | 11.9457 | − | 5.96237i | 1.31918 | − | 0.658434i | ||||
\(83\) | 5.22882i | 0.573938i | 0.957940 | + | 0.286969i | \(0.0926476\pi\) | ||||
−0.957940 | + | 0.286969i | \(0.907352\pi\) | |||||||
\(84\) | 8.82709 | + | 2.46628i | 0.963114 | + | 0.269093i | ||||
\(85\) | − | 3.67159i | − | 0.398240i | ||||||
\(86\) | 5.23605 | + | 10.4905i | 0.564618 | + | 1.13122i | ||||
\(87\) | −5.41505 | − | 1.17396i | −0.580554 | − | 0.125861i | ||||
\(88\) | 3.31404 | − | 1.17841i | 0.353278 | − | 0.125619i | ||||
\(89\) | −6.94090 | + | 12.0220i | −0.735734 | + | 1.27433i | 0.218666 | + | 0.975800i | \(0.429829\pi\) |
−0.954400 | + | 0.298529i | \(0.903504\pi\) | |||||||
\(90\) | −11.5478 | − | 6.12444i | −1.21725 | − | 0.645572i | ||||
\(91\) | −8.76314 | − | 13.2035i | −0.918627 | − | 1.38410i | ||||
\(92\) | −5.46040 | + | 2.32339i | −0.569286 | + | 0.242230i | ||||
\(93\) | −2.55192 | + | 0.817752i | −0.264621 | + | 0.0847969i | ||||
\(94\) | 0.573057 | − | 9.43648i | 0.0591063 | − | 0.973298i | ||||
\(95\) | 3.27720 | − | 1.89209i | 0.336233 | − | 0.194124i | ||||
\(96\) | 4.95691 | + | 8.45157i | 0.505913 | + | 0.862585i | ||||
\(97\) | − | 17.1489i | − | 1.74120i | −0.491989 | − | 0.870601i | \(-0.663730\pi\) | ||
0.491989 | − | 0.870601i | \(-0.336270\pi\) | |||||||
\(98\) | 0.633524 | + | 9.87920i | 0.0639956 | + | 0.997950i | ||||
\(99\) | 0.359884 | + | 3.71328i | 0.0361697 | + | 0.373199i | ||||
\(100\) | 8.91847 | + | 1.08721i | 0.891847 | + | 0.108721i | ||||
\(101\) | −2.87413 | + | 1.65938i | −0.285986 | + | 0.165114i | −0.636130 | − | 0.771582i | \(-0.719466\pi\) |
0.350144 | + | 0.936696i | \(0.386133\pi\) | |||||||
\(102\) | −2.03846 | − | 2.08942i | −0.201838 | − | 0.206884i | ||||
\(103\) | 10.7667 | + | 6.21615i | 1.06087 | + | 0.612496i | 0.925674 | − | 0.378322i | \(-0.123499\pi\) |
0.135200 | + | 0.990818i | \(0.456832\pi\) | |||||||
\(104\) | 3.06561 | − | 16.6614i | 0.300608 | − | 1.63378i | ||||
\(105\) | 2.12585 | − | 13.9577i | 0.207462 | − | 1.36213i | ||||
\(106\) | −12.3936 | − | 8.19542i | −1.20377 | − | 0.796010i | ||||
\(107\) | 4.79031 | − | 8.29706i | 0.463097 | − | 0.802107i | −0.536017 | − | 0.844207i | \(-0.680072\pi\) |
0.999113 | + | 0.0421002i | \(0.0134049\pi\) | |||||||
\(108\) | −9.97188 | + | 2.92603i | −0.959544 | + | 0.281558i | ||||
\(109\) | 0.510424 | − | 0.294693i | 0.0488898 | − | 0.0282265i | −0.475356 | − | 0.879794i | \(-0.657681\pi\) |
0.524246 | + | 0.851567i | \(0.324347\pi\) | |||||||
\(110\) | −2.41975 | − | 4.84801i | −0.230714 | − | 0.462240i | ||||
\(111\) | −0.496053 | − | 0.450301i | −0.0470833 | − | 0.0427407i | ||||
\(112\) | −6.84900 | + | 8.06791i | −0.647170 | + | 0.762346i | ||||
\(113\) | 7.02041i | 0.660425i | 0.943907 | + | 0.330212i | \(0.107120\pi\) | ||||
−0.943907 | + | 0.330212i | \(0.892880\pi\) | |||||||
\(114\) | 0.814496 | − | 2.89624i | 0.0762845 | − | 0.271258i | ||||
\(115\) | 4.57070 | + | 7.91669i | 0.426220 | + | 0.738235i | ||||
\(116\) | 3.84599 | − | 5.11301i | 0.357091 | − | 0.474731i | ||||
\(117\) | 16.3555 | + | 7.44131i | 1.51206 | + | 0.687950i | ||||
\(118\) | 2.90840 | − | 4.39825i | 0.267740 | − | 0.404892i | ||||
\(119\) | 1.40329 | − | 2.82346i | 0.128639 | − | 0.258827i | ||||
\(120\) | 11.9997 | − | 9.15535i | 1.09542 | − | 0.835766i | ||||
\(121\) | 4.72678 | − | 8.18702i | 0.429707 | − | 0.744275i | ||||
\(122\) | −0.542622 | + | 8.93530i | −0.0491267 | + | 0.808964i | ||||
\(123\) | −15.9804 | − | 3.46446i | −1.44090 | − | 0.312380i | ||||
\(124\) | 0.374439 | − | 3.07156i | 0.0336256 | − | 0.275834i | ||||
\(125\) | 1.56436i | 0.139921i | ||||||||
\(126\) | −6.53952 | − | 9.12330i | −0.582587 | − | 0.812768i | ||||
\(127\) | −5.88744 | −0.522426 | −0.261213 | − | 0.965281i | \(-0.584123\pi\) | ||||
−0.261213 | + | 0.965281i | \(0.584123\pi\) | |||||||
\(128\) | −11.2583 | + | 1.11851i | −0.995101 | + | 0.0988635i | ||||
\(129\) | 3.04243 | − | 14.0337i | 0.267871 | − | 1.23560i | ||||
\(130\) | −26.0493 | − | 1.58192i | −2.28467 | − | 0.138743i | ||||
\(131\) | 3.67922 | + | 2.12420i | 0.321455 | + | 0.185592i | 0.652041 | − | 0.758184i | \(-0.273913\pi\) |
−0.330586 | + | 0.943776i | \(0.607246\pi\) | |||||||
\(132\) | −4.06864 | − | 1.41546i | −0.354129 | − | 0.123200i | ||||
\(133\) | 3.24333 | − | 0.202473i | 0.281233 | − | 0.0175566i | ||||
\(134\) | 9.66685 | − | 14.6188i | 0.835089 | − | 1.26287i | ||||
\(135\) | 6.33323 | + | 14.7031i | 0.545078 | + | 1.26544i | ||||
\(136\) | 3.17586 | − | 1.12928i | 0.272328 | − | 0.0968347i | ||||
\(137\) | −0.674838 | + | 0.389618i | −0.0576553 | + | 0.0332873i | −0.528551 | − | 0.848902i | \(-0.677264\pi\) |
0.470895 | + | 0.882189i | \(0.343931\pi\) | |||||||
\(138\) | 6.99642 | + | 1.96757i | 0.595574 | + | 0.167491i | ||||
\(139\) | −5.54714 | −0.470502 | −0.235251 | − | 0.971935i | \(-0.575591\pi\) | ||||
−0.235251 | + | 0.971935i | \(0.575591\pi\) | |||||||
\(140\) | 13.6138 | + | 8.96922i | 1.15058 | + | 0.758037i | ||||
\(141\) | −7.78237 | + | 8.57309i | −0.655394 | + | 0.721984i | ||||
\(142\) | 3.92266 | + | 7.85911i | 0.329182 | + | 0.659522i | ||||
\(143\) | 3.72420 | + | 6.45050i | 0.311433 | + | 0.539418i | ||||
\(144\) | 1.74575 | − | 11.8723i | 0.145479 | − | 0.989361i | ||||
\(145\) | −8.53552 | − | 4.92798i | −0.708836 | − | 0.409247i | ||||
\(146\) | −8.04309 | + | 12.1632i | −0.665651 | + | 1.00664i | ||||
\(147\) | 6.96945 | − | 9.92102i | 0.574831 | − | 0.818272i | ||||
\(148\) | 0.711838 | − | 0.302886i | 0.0585128 | − | 0.0248970i | ||||
\(149\) | −2.07219 | + | 3.58914i | −0.169761 | + | 0.294034i | −0.938336 | − | 0.345726i | \(-0.887633\pi\) |
0.768575 | + | 0.639760i | \(0.220966\pi\) | |||||||
\(150\) | −7.68415 | − | 7.87626i | −0.627408 | − | 0.643094i | ||||
\(151\) | 2.16486 | + | 3.74965i | 0.176174 | + | 0.305142i | 0.940567 | − | 0.339608i | \(-0.110295\pi\) |
−0.764393 | + | 0.644751i | \(0.776961\pi\) | |||||||
\(152\) | 2.64459 | + | 2.25276i | 0.214505 | + | 0.182723i | ||||
\(153\) | 0.344878 | + | 3.55845i | 0.0278817 | + | 0.287684i | ||||
\(154\) | −0.00787757 | − | 4.65297i | −0.000634793 | − | 0.374947i | ||||
\(155\) | −4.76668 | −0.382869 | ||||||||
\(156\) | −15.7024 | + | 13.5623i | −1.25719 | + | 1.08585i | ||||
\(157\) | 3.21017 | + | 5.56018i | 0.256200 | + | 0.443751i | 0.965221 | − | 0.261437i | \(-0.0841963\pi\) |
−0.709021 | + | 0.705187i | \(0.750863\pi\) | |||||||
\(158\) | −1.09971 | + | 18.1089i | −0.0874885 | + | 1.44067i | ||||
\(159\) | 5.55317 | + | 17.3295i | 0.440395 | + | 1.37432i | ||||
\(160\) | 3.80906 | + | 17.0071i | 0.301132 | + | 1.34453i | ||||
\(161\) | 0.489111 | + | 7.83489i | 0.0385473 | + | 0.617476i | ||||
\(162\) | 11.7672 | + | 4.85101i | 0.924521 | + | 0.381131i | ||||
\(163\) | 9.18195 | + | 5.30120i | 0.719186 | + | 0.415222i | 0.814453 | − | 0.580230i | \(-0.197037\pi\) |
−0.0952672 | + | 0.995452i | \(0.530371\pi\) | |||||||
\(164\) | 11.3499 | − | 15.0890i | 0.886280 | − | 1.17826i | ||||
\(165\) | −1.40601 | + | 6.48543i | −0.109458 | + | 0.504890i | ||||
\(166\) | 3.30235 | + | 6.61631i | 0.256312 | + | 0.513526i | ||||
\(167\) | 15.5718 | 1.20498 | 0.602492 | − | 0.798125i | \(-0.294175\pi\) | ||||
0.602492 | + | 0.798125i | \(0.294175\pi\) | |||||||
\(168\) | 12.7270 | − | 2.45418i | 0.981911 | − | 0.189344i | ||||
\(169\) | 22.8750 | 1.75961 | ||||||||
\(170\) | −2.31886 | − | 4.64587i | −0.177848 | − | 0.356322i | ||||
\(171\) | −2.99848 | + | 2.14162i | −0.229300 | + | 0.163774i | ||||
\(172\) | 13.2509 | + | 9.96730i | 1.01037 | + | 0.759999i | ||||
\(173\) | 1.61807 | + | 0.934192i | 0.123019 | + | 0.0710253i | 0.560247 | − | 0.828326i | \(-0.310706\pi\) |
−0.437228 | + | 0.899351i | \(0.644040\pi\) | |||||||
\(174\) | −7.59339 | + | 1.93450i | −0.575653 | + | 0.146654i | ||||
\(175\) | 5.28982 | − | 10.6433i | 0.399873 | − | 0.804558i | ||||
\(176\) | 3.44920 | − | 3.58415i | 0.259993 | − | 0.270166i | ||||
\(177\) | −6.14991 | + | 1.97071i | −0.462256 | + | 0.148128i | ||||
\(178\) | −1.19001 | + | 19.5957i | −0.0891948 | + | 1.46876i | ||||
\(179\) | 7.73124 | + | 13.3909i | 0.577860 | + | 1.00088i | 0.995724 | + | 0.0923734i | \(0.0294454\pi\) |
−0.417864 | + | 0.908509i | \(0.637221\pi\) | |||||||
\(180\) | −18.4801 | − | 0.456373i | −1.37742 | − | 0.0340161i | ||||
\(181\) | −16.6129 | −1.23483 | −0.617415 | − | 0.786638i | \(-0.711820\pi\) | ||||
−0.617415 | + | 0.786638i | \(0.711820\pi\) | |||||||
\(182\) | −19.4274 | − | 11.1726i | −1.44005 | − | 0.828167i | ||||
\(183\) | 7.36905 | − | 8.11777i | 0.544736 | − | 0.600083i | ||||
\(184\) | −5.44197 | + | 6.38852i | −0.401187 | + | 0.470968i | ||||
\(185\) | −0.595854 | − | 1.03205i | −0.0438081 | − | 0.0758778i | ||||
\(186\) | −2.71262 | + | 2.64645i | −0.198899 | + | 0.194047i | ||||
\(187\) | −0.740981 | + | 1.28342i | −0.0541859 | + | 0.0938527i | ||||
\(188\) | −5.23465 | − | 12.3024i | −0.381776 | − | 0.897246i | ||||
\(189\) | −0.749273 | + | 13.7273i | −0.0545016 | + | 0.998514i | ||||
\(190\) | 2.95183 | − | 4.46393i | 0.214149 | − | 0.323848i | ||||
\(191\) | 0.391130 | + | 0.225819i | 0.0283012 | + | 0.0163397i | 0.514084 | − | 0.857740i | \(-0.328132\pi\) |
−0.485783 | + | 0.874080i | \(0.661465\pi\) | |||||||
\(192\) | 11.6100 | + | 7.56361i | 0.837878 | + | 0.545857i | ||||
\(193\) | 0.859277 | + | 1.48831i | 0.0618521 | + | 0.107131i | 0.895293 | − | 0.445477i | \(-0.146966\pi\) |
−0.833441 | + | 0.552608i | \(0.813633\pi\) | |||||||
\(194\) | −10.8307 | − | 21.6994i | −0.777596 | − | 1.55793i | ||||
\(195\) | 23.6659 | + | 21.4832i | 1.69475 | + | 1.53844i | ||||
\(196\) | 7.04101 | + | 12.1006i | 0.502930 | + | 0.864327i | ||||
\(197\) | −16.4222 | −1.17003 | −0.585017 | − | 0.811021i | \(-0.698912\pi\) | ||||
−0.585017 | + | 0.811021i | \(0.698912\pi\) | |||||||
\(198\) | 2.80057 | + | 4.47133i | 0.199028 | + | 0.317764i | ||||
\(199\) | 0.839396 | − | 0.484625i | 0.0595032 | − | 0.0343542i | −0.469953 | − | 0.882691i | \(-0.655729\pi\) |
0.529456 | + | 0.848337i | \(0.322396\pi\) | |||||||
\(200\) | 11.9717 | − | 4.25691i | 0.846525 | − | 0.301009i | ||||
\(201\) | −20.4409 | + | 6.55020i | −1.44179 | + | 0.462016i | ||||
\(202\) | −2.58878 | + | 3.91491i | −0.182146 | + | 0.275452i | ||||
\(203\) | −4.68036 | − | 7.05193i | −0.328497 | − | 0.494948i | ||||
\(204\) | −3.89899 | − | 1.35644i | −0.272984 | − | 0.0949695i | ||||
\(205\) | −25.1892 | − | 14.5430i | −1.75929 | − | 1.01573i | ||||
\(206\) | 17.5496 | + | 1.06575i | 1.22274 | + | 0.0742543i | ||||
\(207\) | −5.17348 | − | 7.24340i | −0.359582 | − | 0.503451i | ||||
\(208\) | −6.64369 | − | 23.0187i | −0.460657 | − | 1.59606i | ||||
\(209\) | −1.52741 | −0.105653 | ||||||||
\(210\) | −6.12528 | − | 19.0041i | −0.422685 | − | 1.31141i | ||||
\(211\) | − | 9.99340i | − | 0.687974i | −0.938974 | − | 0.343987i | \(-0.888222\pi\) | ||
0.938974 | − | 0.343987i | \(-0.111778\pi\) | |||||||
\(212\) | −20.8583 | − | 2.54273i | −1.43255 | − | 0.174635i | ||||
\(213\) | 2.27928 | − | 10.5135i | 0.156174 | − | 0.720375i | ||||
\(214\) | 0.821291 | − | 13.5241i | 0.0561423 | − | 0.924491i | ||||
\(215\) | 12.7714 | − | 22.1207i | 0.871003 | − | 1.50862i | ||||
\(216\) | −10.7700 | + | 10.0004i | −0.732804 | + | 0.680440i | ||||
\(217\) | −3.66559 | − | 1.82184i | −0.248837 | − | 0.123674i | ||||
\(218\) | 0.459749 | − | 0.695259i | 0.0311381 | − | 0.0470889i | ||||
\(219\) | 17.0074 | − | 5.44995i | 1.14925 | − | 0.368273i | ||||
\(220\) | −6.12369 | − | 4.60622i | −0.412859 | − | 0.310551i | ||||
\(221\) | 3.56891 | + | 6.18153i | 0.240071 | + | 0.415815i | ||||
\(222\) | −0.912079 | − | 0.256500i | −0.0612147 | − | 0.0172151i | ||||
\(223\) | − | 13.7534i | − | 0.920996i | −0.887661 | − | 0.460498i | \(-0.847671\pi\) | ||
0.887661 | − | 0.460498i | \(-0.152329\pi\) | |||||||
\(224\) | −3.57099 | + | 14.5344i | −0.238597 | + | 0.971119i | ||||
\(225\) | 1.30005 | + | 13.4139i | 0.0866699 | + | 0.894259i | ||||
\(226\) | 4.43386 | + | 8.88331i | 0.294936 | + | 0.590909i | ||||
\(227\) | −4.13075 | + | 2.38489i | −0.274167 | + | 0.158291i | −0.630780 | − | 0.775962i | \(-0.717265\pi\) |
0.356613 | + | 0.934252i | \(0.383932\pi\) | |||||||
\(228\) | −0.798543 | − | 4.17918i | −0.0528848 | − | 0.276773i | ||||
\(229\) | −0.743202 | + | 1.28726i | −0.0491122 | + | 0.0850648i | −0.889536 | − | 0.456864i | \(-0.848973\pi\) |
0.840424 | + | 0.541929i | \(0.182306\pi\) | |||||||
\(230\) | 10.7835 | + | 7.13071i | 0.711042 | + | 0.470185i | ||||
\(231\) | −3.55997 | + | 4.44994i | −0.234229 | + | 0.292784i | ||||
\(232\) | 1.63733 | − | 8.89877i | 0.107496 | − | 0.584233i | ||||
\(233\) | −2.00188 | − | 1.15579i | −0.131148 | − | 0.0757182i | 0.432991 | − | 0.901398i | \(-0.357458\pi\) |
−0.564139 | + | 0.825680i | \(0.690792\pi\) | |||||||
\(234\) | 25.3952 | − | 0.913678i | 1.66013 | − | 0.0597290i | ||||
\(235\) | −17.8365 | + | 10.2979i | −1.16352 | + | 0.671761i | ||||
\(236\) | 0.902367 | − | 7.40220i | 0.0587391 | − | 0.481842i | ||||
\(237\) | 14.9346 | − | 16.4520i | 0.970108 | − | 1.06867i | ||||
\(238\) | −0.00754910 | − | 4.45896i | −0.000489335 | − | 0.289031i | ||||
\(239\) | 21.6031i | 1.39739i | 0.715420 | + | 0.698695i | \(0.246235\pi\) | ||||
−0.715420 | + | 0.698695i | \(0.753765\pi\) | |||||||
\(240\) | 9.40169 | − | 19.1634i | 0.606877 | − | 1.23699i | ||||
\(241\) | 3.38489 | − | 1.95427i | 0.218040 | − | 0.125885i | −0.387002 | − | 0.922079i | \(-0.626489\pi\) |
0.605042 | + | 0.796193i | \(0.293156\pi\) | |||||||
\(242\) | 0.810399 | − | 13.3448i | 0.0520944 | − | 0.857834i | ||||
\(243\) | −7.51916 | − | 13.6551i | −0.482354 | − | 0.875976i | ||||
\(244\) | 4.95663 | + | 11.6490i | 0.317316 | + | 0.745753i | ||||
\(245\) | 17.1911 | − | 13.0225i | 1.09830 | − | 0.831976i | ||||
\(246\) | −22.4089 | + | 5.70890i | −1.42874 | + | 0.363986i | ||||
\(247\) | −3.67835 | + | 6.37109i | −0.234048 | + | 0.405383i | ||||
\(248\) | −1.46610 | − | 4.12309i | −0.0930972 | − | 0.261817i | ||||
\(249\) | 1.91885 | − | 8.85097i | 0.121602 | − | 0.560908i | ||||
\(250\) | 0.988000 | + | 1.97947i | 0.0624866 | + | 0.125193i | ||||
\(251\) | − | 15.6528i | − | 0.987995i | −0.869463 | − | 0.493997i | \(-0.835535\pi\) | ||
0.869463 | − | 0.493997i | \(-0.164465\pi\) | |||||||
\(252\) | −14.0368 | − | 7.41407i | −0.884235 | − | 0.467042i | ||||
\(253\) | − | 3.68974i | − | 0.231972i | ||||||
\(254\) | −7.44970 | + | 3.71832i | −0.467436 | + | 0.233308i | ||||
\(255\) | −1.34738 | + | 6.21501i | −0.0843764 | + | 0.389199i | ||||
\(256\) | −13.5393 | + | 8.52568i | −0.846207 | + | 0.532855i | ||||
\(257\) | 6.53148 | − | 11.3128i | 0.407422 | − | 0.705676i | −0.587178 | − | 0.809458i | \(-0.699761\pi\) |
0.994600 | + | 0.103782i | \(0.0330944\pi\) | |||||||
\(258\) | −5.01345 | − | 19.6791i | −0.312124 | − | 1.22517i | ||||
\(259\) | −0.0637623 | − | 1.02139i | −0.00396200 | − | 0.0634658i | ||||
\(260\) | −33.9607 | + | 14.4502i | −2.10615 | + | 0.896163i | ||||
\(261\) | 8.73539 | + | 3.97437i | 0.540707 | + | 0.246008i | ||||
\(262\) | 5.99710 | + | 0.364191i | 0.370502 | + | 0.0224998i | ||||
\(263\) | −26.2857 | + | 15.1761i | −1.62085 | + | 0.935796i | −0.634151 | + | 0.773209i | \(0.718650\pi\) |
−0.986694 | + | 0.162586i | \(0.948016\pi\) | |||||||
\(264\) | −6.04223 | + | 0.778562i | −0.371873 | + | 0.0479172i | ||||
\(265\) | 32.3695i | 1.98844i | ||||||||
\(266\) | 3.97609 | − | 2.30458i | 0.243790 | − | 0.141303i | ||||
\(267\) | 16.1608 | − | 17.8028i | 0.989027 | − | 1.08952i | ||||
\(268\) | 2.99926 | − | 24.6032i | 0.183209 | − | 1.50288i | ||||
\(269\) | −0.684713 | + | 0.395319i | −0.0417477 | + | 0.0241030i | −0.520729 | − | 0.853722i | \(-0.674340\pi\) |
0.478981 | + | 0.877825i | \(0.341006\pi\) | |||||||
\(270\) | 17.2998 | + | 14.6048i | 1.05283 | + | 0.888818i | ||||
\(271\) | −4.95134 | − | 2.85866i | −0.300773 | − | 0.173651i | 0.342017 | − | 0.939694i | \(-0.388890\pi\) |
−0.642790 | + | 0.766043i | \(0.722223\pi\) | |||||||
\(272\) | 3.30537 | − | 3.43470i | 0.200418 | − | 0.208259i | ||||
\(273\) | 9.98826 | + | 25.5658i | 0.604517 | + | 1.54731i | ||||
\(274\) | −0.607840 | + | 0.919211i | −0.0367209 | + | 0.0555315i | ||||
\(275\) | −2.79319 | + | 4.83795i | −0.168436 | + | 0.291739i | ||||
\(276\) | 10.0956 | − | 1.92903i | 0.607684 | − | 0.116114i | ||||
\(277\) | 15.4143 | − | 8.89945i | 0.926156 | − | 0.534716i | 0.0405619 | − | 0.999177i | \(-0.487085\pi\) |
0.885594 | + | 0.464461i | \(0.153752\pi\) | |||||||
\(278\) | −7.01910 | + | 3.50339i | −0.420977 | + | 0.210119i | ||||
\(279\) | 4.61980 | − | 0.447742i | 0.276580 | − | 0.0268056i | ||||
\(280\) | 22.8910 | + | 2.75121i | 1.36800 | + | 0.164416i | ||||
\(281\) | − | 27.9140i | − | 1.66521i | −0.553866 | − | 0.832606i | \(-0.686848\pi\) | ||
0.553866 | − | 0.832606i | \(-0.313152\pi\) | |||||||
\(282\) | −4.43298 | + | 15.7631i | −0.263980 | + | 0.938679i | ||||
\(283\) | −1.81190 | − | 3.13830i | −0.107706 | − | 0.186552i | 0.807134 | − | 0.590368i | \(-0.201017\pi\) |
−0.914841 | + | 0.403815i | \(0.867684\pi\) | |||||||
\(284\) | 9.92712 | + | 7.46714i | 0.589066 | + | 0.443094i | ||||
\(285\) | −6.24175 | + | 2.00015i | −0.369729 | + | 0.118478i | ||||
\(286\) | 8.78636 | + | 5.81009i | 0.519548 | + | 0.343558i | ||||
\(287\) | −13.8122 | − | 20.8110i | −0.815309 | − | 1.22843i | ||||
\(288\) | −5.28919 | − | 16.1253i | −0.311668 | − | 0.950191i | ||||
\(289\) | 7.78992 | − | 13.4925i | 0.458230 | − | 0.793678i | ||||
\(290\) | −13.9128 | − | 0.844895i | −0.816989 | − | 0.0496140i | ||||
\(291\) | −6.29320 | + | 29.0284i | −0.368914 | + | 1.70167i | ||||
\(292\) | −2.49547 | + | 20.4705i | −0.146036 | + | 1.19795i | ||||
\(293\) | 9.77037i | 0.570791i | 0.958410 | + | 0.285396i | \(0.0921250\pi\) | ||||
−0.958410 | + | 0.285396i | \(0.907875\pi\) | |||||||
\(294\) | 2.55304 | − | 16.9553i | 0.148896 | − | 0.988853i | ||||
\(295\) | −11.4873 | −0.668817 | ||||||||
\(296\) | 0.709436 | − | 0.832832i | 0.0412351 | − | 0.0484074i | ||||
\(297\) | 0.753496 | − | 6.41765i | 0.0437223 | − | 0.372390i | ||||
\(298\) | −0.355274 | + | 5.85026i | −0.0205805 | + | 0.338897i | ||||
\(299\) | −15.3906 | − | 8.88575i | −0.890059 | − | 0.513876i | ||||
\(300\) | −14.6976 | − | 5.11320i | −0.848564 | − | 0.295211i | ||||
\(301\) | 18.2758 | − | 12.1296i | 1.05340 | − | 0.699141i | ||||
\(302\) | 5.10747 | + | 3.37738i | 0.293902 | + | 0.194347i | ||||
\(303\) | 5.47407 | − | 1.75414i | 0.314477 | − | 0.100773i | ||||
\(304\) | 4.76912 | + | 1.18030i | 0.273528 | + | 0.0676950i | ||||
\(305\) | 16.8892 | − | 9.75098i | 0.967072 | − | 0.558339i | ||||
\(306\) | 2.68379 | + | 4.28489i | 0.153422 | + | 0.244951i | ||||
\(307\) | −9.56907 | −0.546136 | −0.273068 | − | 0.961995i | \(-0.588038\pi\) | ||||
−0.273068 | + | 0.961995i | \(0.588038\pi\) | |||||||
\(308\) | −2.94863 | − | 5.88269i | −0.168014 | − | 0.335197i | ||||
\(309\) | −15.9439 | − | 14.4734i | −0.907018 | − | 0.823361i | ||||
\(310\) | −6.03155 | + | 3.01048i | −0.342569 | + | 0.170984i | ||||
\(311\) | −8.85168 | − | 15.3316i | −0.501933 | − | 0.869373i | −0.999998 | − | 0.00223345i | \(-0.999289\pi\) |
0.498065 | − | 0.867140i | \(-0.334044\pi\) | |||||||
\(312\) | −11.3036 | + | 27.0782i | −0.639938 | + | 1.53300i | ||||
\(313\) | −9.93451 | − | 5.73569i | −0.561532 | − | 0.324200i | 0.192228 | − | 0.981350i | \(-0.438429\pi\) |
−0.753760 | + | 0.657150i | \(0.771762\pi\) | |||||||
\(314\) | 7.57363 | + | 5.00816i | 0.427405 | + | 0.282627i | ||||
\(315\) | −8.72062 | + | 22.8465i | −0.491351 | + | 1.28725i | ||||
\(316\) | 10.0455 | + | 23.6087i | 0.565101 | + | 1.32809i | ||||
\(317\) | −1.15640 | + | 2.00294i | −0.0649499 | + | 0.112497i | −0.896672 | − | 0.442696i | \(-0.854022\pi\) |
0.831722 | + | 0.555193i | \(0.187355\pi\) | |||||||
\(318\) | 17.9715 | + | 18.4208i | 1.00779 | + | 1.03299i | ||||
\(319\) | 1.98908 | + | 3.44519i | 0.111367 | + | 0.192893i | ||||
\(320\) | 15.5610 | + | 19.1144i | 0.869884 | + | 1.06853i | ||||
\(321\) | −11.1535 | + | 12.2867i | −0.622528 | + | 0.685779i | ||||
\(322\) | 5.56716 | + | 9.60501i | 0.310245 | + | 0.535266i | ||||
\(323\) | −1.46372 | −0.0814434 | ||||||||
\(324\) | 17.9535 | − | 1.29355i | 0.997414 | − | 0.0718639i | ||||
\(325\) | 13.4533 | + | 23.3018i | 0.746256 | + | 1.29255i | ||||
\(326\) | 14.9665 | + | 0.908883i | 0.828917 | + | 0.0503383i | ||||
\(327\) | −0.972154 | + | 0.311523i | −0.0537603 | + | 0.0172273i | ||||
\(328\) | 4.83194 | − | 26.2612i | 0.266799 | − | 1.45003i | ||||
\(329\) | −17.6522 | + | 1.10198i | −0.973197 | + | 0.0607540i | ||||
\(330\) | 2.31688 | + | 9.09436i | 0.127540 | + | 0.500628i | ||||
\(331\) | −20.7165 | − | 11.9607i | −1.13868 | − | 0.657418i | −0.192578 | − | 0.981282i | \(-0.561685\pi\) |
−0.946104 | + | 0.323863i | \(0.895018\pi\) | |||||||
\(332\) | 8.35729 | + | 6.28633i | 0.458666 | + | 0.345007i | ||||
\(333\) | 0.674434 | + | 0.944277i | 0.0369588 | + | 0.0517461i | ||||
\(334\) | 19.7039 | − | 9.83465i | 1.07815 | − | 0.538128i | ||||
\(335\) | −38.1812 | −2.08606 | ||||||||
\(336\) | 14.5542 | − | 11.1434i | 0.793998 | − | 0.607921i | ||||
\(337\) | −25.6463 | −1.39704 | −0.698522 | − | 0.715589i | \(-0.746159\pi\) | ||||
−0.698522 | + | 0.715589i | \(0.746159\pi\) | |||||||
\(338\) | 28.9449 | − | 14.4471i | 1.57440 | − | 0.785817i | ||||
\(339\) | 2.57632 | − | 11.8836i | 0.139926 | − | 0.645431i | ||||
\(340\) | −5.86835 | − | 4.41415i | −0.318256 | − | 0.239391i | ||||
\(341\) | 1.66621 | + | 0.961986i | 0.0902303 | + | 0.0520945i | ||||
\(342\) | −2.44157 | + | 4.60365i | −0.132025 | + | 0.248937i | ||||
\(343\) | 18.1972 | − | 3.44385i | 0.982559 | − | 0.185950i | ||||
\(344\) | 23.0621 | + | 4.24332i | 1.24343 | + | 0.228785i | ||||
\(345\) | −4.83173 | − | 15.0781i | −0.260132 | − | 0.811779i | ||||
\(346\) | 2.63744 | + | 0.160166i | 0.141789 | + | 0.00861057i | ||||
\(347\) | 0.473950 | + | 0.820906i | 0.0254430 | + | 0.0440686i | 0.878467 | − | 0.477804i | \(-0.158567\pi\) |
−0.853024 | + | 0.521872i | \(0.825234\pi\) | |||||||
\(348\) | −8.38656 | + | 7.24356i | −0.449567 | + | 0.388295i | ||||
\(349\) | −14.1965 | −0.759919 | −0.379960 | − | 0.925003i | \(-0.624062\pi\) | ||||
−0.379960 | + | 0.925003i | \(0.624062\pi\) | |||||||
\(350\) | −0.0284570 | − | 16.8084i | −0.00152109 | − | 0.898448i | ||||
\(351\) | −24.9546 | − | 18.5982i | −1.33198 | − | 0.992697i | ||||
\(352\) | 2.10082 | − | 6.71362i | 0.111974 | − | 0.357837i | ||||
\(353\) | 7.75978 | + | 13.4403i | 0.413011 | + | 0.715356i | 0.995217 | − | 0.0976847i | \(-0.0311437\pi\) |
−0.582206 | + | 0.813041i | \(0.697810\pi\) | |||||||
\(354\) | −6.53718 | + | 6.37774i | −0.347447 | + | 0.338973i | ||||
\(355\) | 9.56788 | − | 16.5721i | 0.507810 | − | 0.879553i | ||||
\(356\) | 10.8702 | + | 25.5471i | 0.576122 | + | 1.35400i | ||||
\(357\) | −3.41153 | + | 4.26439i | −0.180557 | + | 0.225695i | ||||
\(358\) | 18.2400 | + | 12.0614i | 0.964015 | + | 0.637467i | ||||
\(359\) | 12.2735 | + | 7.08613i | 0.647772 | + | 0.373991i | 0.787602 | − | 0.616184i | \(-0.211322\pi\) |
−0.139830 | + | 0.990176i | \(0.544656\pi\) | |||||||
\(360\) | −23.6721 | + | 11.0939i | −1.24763 | + | 0.584701i | ||||
\(361\) | 8.74570 | + | 15.1480i | 0.460300 | + | 0.797263i | ||||
\(362\) | −21.0213 | + | 10.4922i | −1.10485 | + | 0.551457i | ||||
\(363\) | −11.0056 | + | 12.1238i | −0.577643 | + | 0.636334i | ||||
\(364\) | −31.6388 | − | 1.86760i | −1.65832 | − | 0.0978886i | ||||
\(365\) | 31.7678 | 1.66280 | ||||||||
\(366\) | 4.19754 | − | 14.9259i | 0.219409 | − | 0.780190i | ||||
\(367\) | −11.5602 | + | 6.67430i | −0.603439 | + | 0.348396i | −0.770393 | − | 0.637569i | \(-0.779940\pi\) |
0.166954 | + | 0.985965i | \(0.446607\pi\) | |||||||
\(368\) | −2.85124 | + | 11.5207i | −0.148631 | + | 0.600559i | ||||
\(369\) | 25.7790 | + | 11.7288i | 1.34200 | + | 0.610576i | ||||
\(370\) | −1.40578 | − | 0.929587i | −0.0730828 | − | 0.0483269i | ||||
\(371\) | −12.3717 | + | 24.8922i | −0.642305 | + | 1.29234i | ||||
\(372\) | −1.76101 | + | 5.06190i | −0.0913040 | + | 0.262447i | ||||
\(373\) | 4.56967 | + | 2.63830i | 0.236609 | + | 0.136606i | 0.613617 | − | 0.789604i | \(-0.289714\pi\) |
−0.377008 | + | 0.926210i | \(0.623047\pi\) | |||||||
\(374\) | −0.127040 | + | 2.09196i | −0.00656908 | + | 0.108172i | ||||
\(375\) | 0.574082 | − | 2.64804i | 0.0296455 | − | 0.136744i | ||||
\(376\) | −14.3935 | − | 12.2609i | −0.742287 | − | 0.632307i | ||||
\(377\) | 19.1607 | 0.986824 | ||||||||
\(378\) | 7.72161 | + | 17.8431i | 0.397157 | + | 0.917751i | ||||
\(379\) | 15.3619i | 0.789086i | 0.918877 | + | 0.394543i | \(0.129097\pi\) | ||||
−0.918877 | + | 0.394543i | \(0.870903\pi\) | |||||||
\(380\) | 0.915843 | − | 7.51274i | 0.0469817 | − | 0.385396i | ||||
\(381\) | 9.96584 | + | 2.16054i | 0.510565 | + | 0.110688i | ||||
\(382\) | 0.637538 | + | 0.0387163i | 0.0326193 | + | 0.00198090i | ||||
\(383\) | 1.35424 | − | 2.34561i | 0.0691983 | − | 0.119855i | −0.829350 | − | 0.558729i | \(-0.811289\pi\) |
0.898549 | + | 0.438874i | \(0.144623\pi\) | |||||||
\(384\) | 19.4677 | + | 2.23817i | 0.993456 | + | 0.114216i | ||||
\(385\) | −8.44587 | + | 5.60552i | −0.430442 | + | 0.285684i | ||||
\(386\) | 2.02726 | + | 1.34055i | 0.103185 | + | 0.0682323i | ||||
\(387\) | −10.3000 | + | 22.6387i | −0.523579 | + | 1.15079i | ||||
\(388\) | −27.4092 | − | 20.6171i | −1.39149 | − | 1.04668i | ||||
\(389\) | −6.35306 | − | 11.0038i | −0.322113 | − | 0.557916i | 0.658811 | − | 0.752308i | \(-0.271060\pi\) |
−0.980924 | + | 0.194393i | \(0.937726\pi\) | |||||||
\(390\) | 43.5138 | + | 12.2372i | 2.20341 | + | 0.619654i | ||||
\(391\) | − | 3.53589i | − | 0.178817i | ||||||
\(392\) | 16.5517 | + | 10.8647i | 0.835988 | + | 0.548748i | ||||
\(393\) | −5.44840 | − | 4.94588i | −0.274835 | − | 0.249487i | ||||
\(394\) | −20.7799 | + | 10.3717i | −1.04688 | + | 0.522520i | ||||
\(395\) | 34.2288 | − | 19.7620i | 1.72224 | − | 0.994334i | ||||
\(396\) | 6.36766 | + | 3.88907i | 0.319987 | + | 0.195433i | ||||
\(397\) | −11.9617 | + | 20.7184i | −0.600343 | + | 1.03982i | 0.392426 | + | 0.919784i | \(0.371636\pi\) |
−0.992769 | + | 0.120041i | \(0.961697\pi\) | |||||||
\(398\) | 0.756060 | − | 1.14336i | 0.0378979 | − | 0.0573113i | ||||
\(399\) | −5.56439 | − | 0.847492i | −0.278568 | − | 0.0424277i | ||||
\(400\) | 12.4599 | − | 12.9474i | 0.622995 | − | 0.647371i | ||||
\(401\) | 23.5968 | + | 13.6236i | 1.17837 | + | 0.680331i | 0.955636 | − | 0.294549i | \(-0.0951694\pi\) |
0.222731 | + | 0.974880i | \(0.428503\pi\) | |||||||
\(402\) | −21.7281 | + | 21.1981i | −1.08370 | + | 1.05727i | ||||
\(403\) | 8.02524 | − | 4.63338i | 0.399766 | − | 0.230805i | ||||
\(404\) | −0.803202 | + | 6.58874i | −0.0399608 | + | 0.327802i | ||||
\(405\) | −5.32478 | − | 27.2125i | −0.264590 | − | 1.35220i | ||||
\(406\) | −10.3761 | − | 5.96723i | −0.514956 | − | 0.296149i | ||||
\(407\) | 0.481008i | 0.0238427i | ||||||||
\(408\) | −5.79028 | + | 0.746098i | −0.286662 | + | 0.0369374i | ||||
\(409\) | 6.82328 | − | 3.93942i | 0.337390 | − | 0.194792i | −0.321727 | − | 0.946832i | \(-0.604263\pi\) |
0.659117 | + | 0.752040i | \(0.270930\pi\) | |||||||
\(410\) | −41.0582 | − | 2.49337i | −2.02772 | − | 0.123139i | ||||
\(411\) | 1.28530 | − | 0.411869i | 0.0633991 | − | 0.0203160i | ||||
\(412\) | 22.8796 | − | 9.73520i | 1.12720 | − | 0.479619i | ||||
\(413\) | −8.83378 | − | 4.39047i | −0.434682 | − | 0.216041i | ||||
\(414\) | −11.1210 | − | 5.89807i | −0.546566 | − | 0.289874i | ||||
\(415\) | 8.05487 | − | 13.9514i | 0.395398 | − | 0.684849i | ||||
\(416\) | −22.9445 | − | 24.9309i | −1.12495 | − | 1.22234i | ||||
\(417\) | 9.38980 | + | 2.03566i | 0.459820 | + | 0.0996868i | ||||
\(418\) | −1.93271 | + | 0.964659i | −0.0945319 | + | 0.0471830i | ||||
\(419\) | − | 19.8589i | − | 0.970173i | −0.874466 | − | 0.485086i | \(-0.838788\pi\) | ||
0.874466 | − | 0.485086i | \(-0.161212\pi\) | |||||||
\(420\) | −19.7530 | − | 20.1784i | −0.963848 | − | 0.984604i | ||||
\(421\) | 16.6507i | 0.811505i | 0.913983 | + | 0.405753i | \(0.132991\pi\) | ||||
−0.913983 | + | 0.405753i | \(0.867009\pi\) | |||||||
\(422\) | −6.31150 | − | 12.6452i | −0.307239 | − | 0.615559i | ||||
\(423\) | 16.3196 | − | 11.6560i | 0.793484 | − | 0.566733i | ||||
\(424\) | −27.9990 | + | 9.95593i | −1.35975 | + | 0.483503i | ||||
\(425\) | −2.67672 | + | 4.63622i | −0.129840 | + | 0.224890i | ||||
\(426\) | −3.75590 | − | 14.7429i | −0.181974 | − | 0.714294i | ||||
\(427\) | 16.7147 | − | 1.04345i | 0.808880 | − | 0.0504962i | ||||
\(428\) | −7.50217 | − | 17.6315i | −0.362631 | − | 0.852252i | ||||
\(429\) | −3.93688 | − | 12.2856i | −0.190074 | − | 0.593156i | ||||
\(430\) | 2.18964 | − | 36.0566i | 0.105594 | − | 1.73880i | ||||
\(431\) | 19.8541 | − | 11.4628i | 0.956339 | − | 0.552142i | 0.0612944 | − | 0.998120i | \(-0.480477\pi\) |
0.895044 | + | 0.445977i | \(0.147144\pi\) | |||||||
\(432\) | −7.31193 | + | 19.4560i | −0.351795 | + | 0.936077i | ||||
\(433\) | − | 10.5825i | − | 0.508564i | −0.967130 | − | 0.254282i | \(-0.918161\pi\) | ||
0.967130 | − | 0.254282i | \(-0.0818392\pi\) | |||||||
\(434\) | −5.78889 | + | 0.00980070i | −0.277876 | + | 0.000470449i | ||||
\(435\) | 12.6399 | + | 11.4741i | 0.606035 | + | 0.550139i | ||||
\(436\) | 0.142643 | − | 1.17011i | 0.00683135 | − | 0.0560382i | ||||
\(437\) | 3.15607 | − | 1.82216i | 0.150975 | − | 0.0871656i | ||||
\(438\) | 18.0784 | − | 17.6374i | 0.863818 | − | 0.842749i | ||||
\(439\) | −6.69332 | − | 3.86439i | −0.319455 | − | 0.184437i | 0.331695 | − | 0.943387i | \(-0.392380\pi\) |
−0.651150 | + | 0.758949i | \(0.725713\pi\) | |||||||
\(440\) | −10.6578 | − | 1.96098i | −0.508090 | − | 0.0934861i | ||||
\(441\) | −15.4382 | + | 14.2360i | −0.735150 | + | 0.677904i | ||||
\(442\) | 8.41999 | + | 5.56783i | 0.400498 | + | 0.264834i | ||||
\(443\) | −2.28548 | + | 3.95856i | −0.108586 | + | 0.188077i | −0.915198 | − | 0.403005i | \(-0.867966\pi\) |
0.806611 | + | 0.591082i | \(0.201299\pi\) | |||||||
\(444\) | −1.31610 | + | 0.251476i | −0.0624594 | + | 0.0119345i | ||||
\(445\) | 37.0392 | − | 21.3846i | 1.75582 | − | 1.01373i | ||||
\(446\) | −8.68620 | − | 17.4029i | −0.411303 | − | 0.824053i | ||||
\(447\) | 4.82478 | − | 5.31500i | 0.228204 | − | 0.251391i | ||||
\(448\) | 4.66087 | + | 20.6465i | 0.220205 | + | 0.975454i | ||||
\(449\) | − | 4.33700i | − | 0.204676i | −0.994750 | − | 0.102338i | \(-0.967368\pi\) | ||
0.994750 | − | 0.102338i | \(-0.0326323\pi\) | |||||||
\(450\) | 10.1168 | + | 16.1523i | 0.476910 | + | 0.761425i | ||||
\(451\) | 5.86998 | + | 10.1671i | 0.276406 | + | 0.478750i | ||||
\(452\) | 11.2208 | + | 8.44026i | 0.527783 | + | 0.396996i | ||||
\(453\) | −2.28849 | − | 7.14159i | −0.107523 | − | 0.335541i | ||||
\(454\) | −3.72065 | + | 5.62658i | −0.174619 | + | 0.264068i | ||||
\(455\) | 3.04200 | + | 48.7287i | 0.142611 | + | 2.28444i | ||||
\(456\) | −3.64987 | − | 4.78381i | −0.170921 | − | 0.224023i | ||||
\(457\) | −9.88462 | + | 17.1207i | −0.462383 | + | 0.800871i | −0.999079 | − | 0.0429048i | \(-0.986339\pi\) |
0.536696 | + | 0.843776i | \(0.319672\pi\) | |||||||
\(458\) | −0.127421 | + | 2.09823i | −0.00595398 | + | 0.0980437i | ||||
\(459\) | 0.722078 | − | 6.15005i | 0.0337037 | − | 0.287060i | ||||
\(460\) | 18.1485 | + | 2.21239i | 0.846176 | + | 0.103153i | ||||
\(461\) | 25.3326i | 1.17986i | 0.807455 | + | 0.589929i | \(0.200844\pi\) | ||||
−0.807455 | + | 0.589929i | \(0.799156\pi\) | |||||||
\(462\) | −1.69419 | + | 7.87911i | −0.0788209 | + | 0.366569i | ||||
\(463\) | 20.9574 | 0.973975 | 0.486988 | − | 0.873409i | \(-0.338096\pi\) | ||||
0.486988 | + | 0.873409i | \(0.338096\pi\) | |||||||
\(464\) | −3.54837 | − | 12.2942i | −0.164729 | − | 0.570744i | ||||
\(465\) | 8.06870 | + | 1.74925i | 0.374177 | + | 0.0811197i | ||||
\(466\) | −3.26305 | − | 0.198158i | −0.151158 | − | 0.00917950i | ||||
\(467\) | 26.9170 | + | 15.5406i | 1.24557 | + | 0.719131i | 0.970223 | − | 0.242214i | \(-0.0778735\pi\) |
0.275348 | + | 0.961345i | \(0.411207\pi\) | |||||||
\(468\) | 31.5568 | − | 17.1949i | 1.45872 | − | 0.794834i | ||||
\(469\) | −29.3615 | − | 14.5929i | −1.35579 | − | 0.673839i | ||||
\(470\) | −16.0657 | + | 24.2954i | −0.741054 | + | 1.12066i | ||||
\(471\) | −3.39350 | − | 10.5899i | −0.156364 | − | 0.487958i | ||||
\(472\) | −3.53317 | − | 9.93632i | −0.162627 | − | 0.457356i | ||||
\(473\) | −8.92857 | + | 5.15491i | −0.410536 | + | 0.237023i | ||||
\(474\) | 8.50703 | − | 30.2499i | 0.390741 | − | 1.38942i | ||||
\(475\) | −5.51761 | −0.253165 | ||||||||
\(476\) | −2.82568 | − | 5.63739i | −0.129515 | − | 0.258390i | ||||
\(477\) | −3.04051 | − | 31.3720i | −0.139216 | − | 1.43643i | ||||
\(478\) | 13.6438 | + | 27.3356i | 0.624054 | + | 1.25030i | ||||
\(479\) | 17.0894 | + | 29.5997i | 0.780835 | + | 1.35245i | 0.931456 | + | 0.363855i | \(0.118540\pi\) |
−0.150620 | + | 0.988592i | \(0.548127\pi\) | |||||||
\(480\) | −0.206500 | − | 30.1863i | −0.00942537 | − | 1.37781i | ||||
\(481\) | 2.00637 | + | 1.15838i | 0.0914827 | + | 0.0528176i | ||||
\(482\) | 3.04884 | − | 4.61063i | 0.138871 | − | 0.210008i | ||||
\(483\) | 2.04728 | − | 13.4418i | 0.0931543 | − | 0.611624i | ||||
\(484\) | −7.40267 | − | 17.3977i | −0.336485 | − | 0.790804i | ||||
\(485\) | −26.4174 | + | 45.7562i | −1.19955 | + | 2.07768i | ||||
\(486\) | −18.1385 | − | 12.5297i | −0.822780 | − | 0.568360i | ||||
\(487\) | −12.3371 | − | 21.3684i | −0.559046 | − | 0.968296i | −0.997576 | − | 0.0695795i | \(-0.977834\pi\) |
0.438531 | − | 0.898716i | \(-0.355499\pi\) | |||||||
\(488\) | 13.6290 | + | 11.6097i | 0.616958 | + | 0.525547i | ||||
\(489\) | −13.5971 | − | 12.3430i | −0.614884 | − | 0.558171i | ||||
\(490\) | 13.5283 | − | 27.3354i | 0.611146 | − | 1.23489i | ||||
\(491\) | −43.3064 | −1.95439 | −0.977196 | − | 0.212339i | \(-0.931892\pi\) | ||||
−0.977196 | + | 0.212339i | \(0.931892\pi\) | |||||||
\(492\) | −24.7496 | + | 21.3765i | −1.11580 | + | 0.963727i | ||||
\(493\) | 1.90614 | + | 3.30153i | 0.0858482 | + | 0.148693i | ||||
\(494\) | −0.630647 | + | 10.3848i | −0.0283742 | + | 0.467235i | ||||
\(495\) | 4.75998 | − | 10.4621i | 0.213945 | − | 0.470237i | ||||
\(496\) | −4.45914 | − | 4.29124i | −0.200221 | − | 0.192682i | ||||
\(497\) | 13.6916 | − | 9.08710i | 0.614152 | − | 0.407612i | ||||
\(498\) | −3.16196 | − | 12.4115i | −0.141691 | − | 0.556173i | ||||
\(499\) | 32.3258 | + | 18.6633i | 1.44710 | + | 0.835485i | 0.998308 | − | 0.0581497i | \(-0.0185201\pi\) |
0.448795 | + | 0.893635i | \(0.351853\pi\) | |||||||
\(500\) | 2.50034 | + | 1.88075i | 0.111819 | + | 0.0841096i | ||||
\(501\) | −26.3589 | − | 5.71447i | −1.17763 | − | 0.255304i | ||||
\(502\) | −9.88578 | − | 19.8063i | −0.441224 | − | 0.883999i | ||||
\(503\) | −34.2432 | −1.52683 | −0.763414 | − | 0.645910i | \(-0.776478\pi\) | ||||
−0.763414 | + | 0.645910i | \(0.776478\pi\) | |||||||
\(504\) | −22.4440 | − | 0.516245i | −0.999736 | − | 0.0229954i | ||||
\(505\) | 10.2249 | 0.455003 | ||||||||
\(506\) | −2.33032 | − | 4.66883i | −0.103595 | − | 0.207555i | ||||
\(507\) | −38.7211 | − | 8.39454i | −1.71966 | − | 0.372814i | ||||
\(508\) | −7.07815 | + | 9.40998i | −0.314042 | + | 0.417500i | ||||
\(509\) | −24.1054 | − | 13.9173i | −1.06845 | − | 0.616871i | −0.140694 | − | 0.990053i | \(-0.544933\pi\) |
−0.927758 | + | 0.373182i | \(0.878267\pi\) | |||||||
\(510\) | 2.22028 | + | 8.71515i | 0.0983155 | + | 0.385913i | ||||
\(511\) | 24.4295 | + | 12.1417i | 1.08070 | + | 0.537118i | ||||
\(512\) | −11.7475 | + | 19.3390i | −0.519171 | + | 0.854671i | ||||
\(513\) | 5.86153 | − | 2.52481i | 0.258793 | − | 0.111473i | ||||
\(514\) | 1.11981 | − | 18.4398i | 0.0493928 | − | 0.813346i | ||||
\(515\) | −19.1517 | − | 33.1716i | −0.843923 | − | 1.46172i | ||||
\(516\) | −18.7725 | − | 21.7347i | −0.826411 | − | 0.956816i | ||||
\(517\) | 8.31307 | 0.365608 | ||||||||
\(518\) | −0.725756 | − | 1.25214i | −0.0318879 | − | 0.0550161i | ||||
\(519\) | −2.39612 | − | 2.17512i | −0.105178 | − | 0.0954774i | ||||
\(520\) | −33.8460 | + | 39.7331i | −1.48425 | + | 1.74241i | ||||
\(521\) | 8.13261 | + | 14.0861i | 0.356296 | + | 0.617123i | 0.987339 | − | 0.158625i | \(-0.0507061\pi\) |
−0.631043 | + | 0.775748i | \(0.717373\pi\) | |||||||
\(522\) | 13.5635 | − | 0.487992i | 0.593656 | − | 0.0213588i | ||||
\(523\) | −6.98922 | + | 12.1057i | −0.305617 | + | 0.529345i | −0.977399 | − | 0.211405i | \(-0.932196\pi\) |
0.671781 | + | 0.740750i | \(0.265530\pi\) | |||||||
\(524\) | 7.81847 | − | 3.32674i | 0.341551 | − | 0.145329i | ||||
\(525\) | −12.8601 | + | 16.0750i | −0.561259 | + | 0.701570i | ||||
\(526\) | −23.6760 | + | 35.8043i | −1.03232 | + | 1.56114i | ||||
\(527\) | 1.59673 | + | 0.921874i | 0.0695548 | + | 0.0401575i | ||||
\(528\) | −7.15385 | + | 4.80123i | −0.311331 | + | 0.208947i | ||||
\(529\) | −7.09824 | − | 12.2945i | −0.308619 | − | 0.534544i | ||||
\(530\) | 20.4435 | + | 40.9589i | 0.888009 | + | 1.77914i | ||||
\(531\) | 11.1333 | − | 1.07902i | 0.483145 | − | 0.0468255i | ||||
\(532\) | 3.57567 | − | 5.42729i | 0.155025 | − | 0.235303i | ||||
\(533\) | 56.5451 | 2.44924 | ||||||||
\(534\) | 9.20551 | − | 32.7336i | 0.398361 | − | 1.41652i | ||||
\(535\) | −25.5628 | + | 14.7587i | −1.10518 | + | 0.638074i | ||||
\(536\) | −11.7435 | − | 33.0260i | −0.507240 | − | 1.42651i | ||||
\(537\) | −8.17276 | − | 25.5043i | −0.352681 | − | 1.10059i | ||||
\(538\) | −0.616734 | + | 0.932661i | −0.0265893 | + | 0.0402099i | ||||
\(539\) | −8.63734 | + | 1.08263i | −0.372037 | + | 0.0466322i | ||||
\(540\) | 31.1142 | + | 7.55424i | 1.33894 | + | 0.325083i | ||||
\(541\) | 18.9287 | + | 10.9285i | 0.813810 | + | 0.469853i | 0.848277 | − | 0.529552i | \(-0.177640\pi\) |
−0.0344673 | + | 0.999406i | \(0.510973\pi\) | |||||||
\(542\) | −8.07064 | − | 0.490112i | −0.346664 | − | 0.0210521i | ||||
\(543\) | 28.1212 | + | 6.09653i | 1.20680 | + | 0.261627i | ||||
\(544\) | 2.01322 | − | 6.43368i | 0.0863163 | − | 0.275842i | ||||
\(545\) | −1.81587 | −0.0777834 | ||||||||
\(546\) | 28.7852 | + | 26.0415i | 1.23189 | + | 1.11447i | ||||
\(547\) | 9.11111i | 0.389563i | 0.980847 | + | 0.194782i | \(0.0623998\pi\) | ||||
−0.980847 | + | 0.194782i | \(0.937600\pi\) | |||||||
\(548\) | −0.188590 | + | 1.54702i | −0.00805616 | + | 0.0660854i | ||||
\(549\) | −15.4528 | + | 11.0369i | −0.659510 | + | 0.471044i | ||||
\(550\) | −0.478888 | + | 7.88581i | −0.0204199 | + | 0.336252i | ||||
\(551\) | −1.96459 | + | 3.40277i | −0.0836944 | + | 0.144963i | ||||
\(552\) | 11.5562 | − | 8.81696i | 0.491865 | − | 0.375275i | ||||
\(553\) | 33.8751 | − | 2.11473i | 1.44052 | − | 0.0899275i | ||||
\(554\) | 13.8840 | − | 20.9961i | 0.589873 | − | 0.892040i | ||||
\(555\) | 0.629882 | + | 1.96564i | 0.0267370 | + | 0.0834369i | ||||
\(556\) | −6.66902 | + | 8.86606i | −0.282830 | + | 0.376005i | ||||
\(557\) | 2.14436 | + | 3.71415i | 0.0908596 | + | 0.157373i | 0.907873 | − | 0.419245i | \(-0.137705\pi\) |
−0.817013 | + | 0.576619i | \(0.804372\pi\) | |||||||
\(558\) | 5.56290 | − | 3.48426i | 0.235497 | − | 0.147501i | ||||
\(559\) | 49.6569i | 2.10026i | ||||||||
\(560\) | 30.7028 | − | 10.9759i | 1.29743 | − | 0.463818i | ||||
\(561\) | 1.72526 | − | 1.90055i | 0.0728406 | − | 0.0802414i | ||||
\(562\) | −17.6296 | − | 35.3212i | −0.743659 | − | 1.48993i | ||||
\(563\) | −27.2512 | + | 15.7335i | −1.14850 | + | 0.663087i | −0.948521 | − | 0.316713i | \(-0.897421\pi\) |
−0.199979 | + | 0.979800i | \(0.564087\pi\) | |||||||
\(564\) | 4.34616 | + | 22.7456i | 0.183006 | + | 0.957764i | ||||
\(565\) | 10.8148 | − | 18.7317i | 0.454981 | − | 0.788049i | ||||
\(566\) | −4.27474 | − | 2.82673i | −0.179681 | − | 0.118816i | ||||
\(567\) | 6.30589 | − | 22.9616i | 0.264822 | − | 0.964297i | ||||
\(568\) | 17.2773 | + | 3.17895i | 0.724941 | + | 0.133386i | ||||
\(569\) | −8.62592 | − | 4.98018i | −0.361617 | − | 0.208780i | 0.308173 | − | 0.951330i | \(-0.400283\pi\) |
−0.669790 | + | 0.742551i | \(0.733616\pi\) | |||||||
\(570\) | −6.63481 | + | 6.47298i | −0.277901 | + | 0.271123i | ||||
\(571\) | 29.5465 | − | 17.0587i | 1.23648 | − | 0.713883i | 0.268108 | − | 0.963389i | \(-0.413601\pi\) |
0.968373 | + | 0.249506i | \(0.0802681\pi\) | |||||||
\(572\) | 14.7873 | + | 1.80265i | 0.618289 | + | 0.0753727i | ||||
\(573\) | −0.579206 | − | 0.525785i | −0.0241967 | − | 0.0219650i | ||||
\(574\) | −30.6209 | − | 17.6099i | −1.27809 | − | 0.735024i | ||||
\(575\) | − | 13.3288i | − | 0.555851i | ||||||
\(576\) | −16.8769 | − | 17.0637i | −0.703204 | − | 0.710988i | ||||
\(577\) | 0.843668 | − | 0.487092i | 0.0351224 | − | 0.0202779i | −0.482336 | − | 0.875986i | \(-0.660212\pi\) |
0.517458 | + | 0.855708i | \(0.326878\pi\) | |||||||
\(578\) | 1.33557 | − | 21.9927i | 0.0555523 | − | 0.914775i | ||||
\(579\) | −0.908350 | − | 2.83464i | −0.0377497 | − | 0.117804i | ||||
\(580\) | −18.1383 | + | 7.71779i | −0.753150 | + | 0.320464i | ||||
\(581\) | 11.5265 | − | 7.65011i | 0.478199 | − | 0.317380i | ||||
\(582\) | 10.3702 | + | 40.7058i | 0.429860 | + | 1.68731i | ||||
\(583\) | 6.53263 | − | 11.3149i | 0.270554 | − | 0.468613i | ||||
\(584\) | 9.77087 | + | 27.4786i | 0.404322 | + | 1.13707i | ||||
\(585\) | −32.1762 | − | 45.0499i | −1.33032 | − | 1.86259i | ||||
\(586\) | 6.17064 | + | 12.3630i | 0.254907 | + | 0.510710i | ||||
\(587\) | − | 25.9212i | − | 1.06988i | −0.844890 | − | 0.534940i | \(-0.820334\pi\) | ||
0.844890 | − | 0.534940i | \(-0.179666\pi\) | |||||||
\(588\) | −7.47791 | − | 23.0669i | −0.308384 | − | 0.951262i | ||||
\(589\) | 1.90029i | 0.0782999i | ||||||||
\(590\) | −14.5355 | + | 7.25501i | −0.598418 | + | 0.298684i | ||||
\(591\) | 27.7983 | + | 6.02654i | 1.14347 | + | 0.247899i | ||||
\(592\) | 0.371699 | − | 1.50188i | 0.0152767 | − | 0.0617270i | ||||
\(593\) | −22.1118 | + | 38.2987i | −0.908022 | + | 1.57274i | −0.0912135 | + | 0.995831i | \(0.529075\pi\) |
−0.816808 | + | 0.576909i | \(0.804259\pi\) | |||||||
\(594\) | −3.09974 | − | 8.59649i | −0.127184 | − | 0.352718i | ||||
\(595\) | −8.09370 | + | 5.37178i | −0.331809 | + | 0.220222i | ||||
\(596\) | 3.24529 | + | 7.62704i | 0.132932 | + | 0.312416i | ||||
\(597\) | −1.59871 | + | 0.512302i | −0.0654310 | + | 0.0209671i | ||||
\(598\) | −25.0865 | − | 1.52345i | −1.02586 | − | 0.0622984i | ||||
\(599\) | 8.58632 | − | 4.95731i | 0.350827 | − | 0.202550i | −0.314222 | − | 0.949349i | \(-0.601744\pi\) |
0.665050 | + | 0.746799i | \(0.268410\pi\) | |||||||
\(600\) | −21.8270 | + | 2.81248i | −0.891082 | + | 0.114819i | ||||
\(601\) | 11.8235i | 0.482292i | 0.970489 | + | 0.241146i | \(0.0775233\pi\) | ||||
−0.970489 | + | 0.241146i | \(0.922477\pi\) | |||||||
\(602\) | 15.4647 | − | 26.8907i | 0.630295 | − | 1.09598i | ||||
\(603\) | 37.0046 | − | 3.58642i | 1.50695 | − | 0.146050i | ||||
\(604\) | 8.59581 | + | 1.04787i | 0.349759 | + | 0.0426374i | ||||
\(605\) | −25.2238 | + | 14.5630i | −1.02549 | + | 0.592069i | ||||
\(606\) | 5.81878 | − | 5.67685i | 0.236372 | − | 0.230606i | ||||
\(607\) | 5.56281 | + | 3.21169i | 0.225788 | + | 0.130359i | 0.608627 | − | 0.793456i | \(-0.291721\pi\) |
−0.382840 | + | 0.923815i | \(0.625054\pi\) | |||||||
\(608\) | 6.78007 | − | 1.51852i | 0.274968 | − | 0.0615841i | ||||
\(609\) | 5.33469 | + | 13.6546i | 0.216173 | + | 0.553311i | ||||
\(610\) | 15.2124 | − | 23.0051i | 0.615933 | − | 0.931449i | ||||
\(611\) | 20.0198 | − | 34.6753i | 0.809915 | − | 1.40281i | ||||
\(612\) | 6.10215 | + | 3.72691i | 0.246665 | + | 0.150651i | ||||
\(613\) | −17.5740 | + | 10.1463i | −0.709805 | + | 0.409806i | −0.810989 | − | 0.585061i | \(-0.801070\pi\) |
0.101184 | + | 0.994868i | \(0.467737\pi\) | |||||||
\(614\) | −12.1083 | + | 6.04351i | −0.488650 | + | 0.243896i | ||||
\(615\) | 37.3016 | + | 33.8612i | 1.50414 | + | 1.36541i | ||||
\(616\) | −7.44638 | − | 5.58143i | −0.300023 | − | 0.224882i | ||||
\(617\) | − | 26.7202i | − | 1.07571i | −0.843036 | − | 0.537856i | \(-0.819234\pi\) | ||
0.843036 | − | 0.537856i | \(-0.180766\pi\) | |||||||
\(618\) | −29.3156 | − | 8.24429i | −1.17925 | − | 0.331634i | ||||
\(619\) | 7.12358 | + | 12.3384i | 0.286321 | + | 0.495922i | 0.972929 | − | 0.231106i | \(-0.0742343\pi\) |
−0.686608 | + | 0.727028i | \(0.740901\pi\) | |||||||
\(620\) | −5.73073 | + | 7.61865i | −0.230151 | + | 0.305972i | ||||
\(621\) | 6.09915 | + | 14.1596i | 0.244750 | + | 0.568207i | ||||
\(622\) | −20.8834 | − | 13.8094i | −0.837350 | − | 0.553708i | ||||
\(623\) | 36.6564 | − | 2.28836i | 1.46861 | − | 0.0916813i | ||||
\(624\) | 2.79867 | + | 41.4025i | 0.112037 | + | 1.65743i | ||||
\(625\) | 13.6405 | − | 23.6260i | 0.545619 | − | 0.945040i | ||||
\(626\) | −16.1932 | − | 0.983375i | −0.647209 | − | 0.0393036i | ||||
\(627\) | 2.58548 | + | 0.560520i | 0.103254 | + | 0.0223850i | ||||
\(628\) | 12.7463 | + | 1.55384i | 0.508634 | + | 0.0620051i | ||||
\(629\) | 0.460951i | 0.0183793i | ||||||||
\(630\) | 3.39441 | + | 34.4166i | 0.135237 | + | 1.37119i | ||||
\(631\) | −13.9775 | −0.556436 | −0.278218 | − | 0.960518i | \(-0.589744\pi\) | ||||
−0.278218 | + | 0.960518i | \(0.589744\pi\) | |||||||
\(632\) | 27.6216 | + | 23.5290i | 1.09873 | + | 0.935934i | ||||
\(633\) | −3.66733 | + | 16.9161i | −0.145763 | + | 0.672355i | ||||
\(634\) | −0.198263 | + | 3.26478i | −0.00787403 | + | 0.129661i | ||||
\(635\) | 15.7088 | + | 9.06945i | 0.623383 | + | 0.359910i | ||||
\(636\) | 34.3742 | + | 11.9586i | 1.36303 | + | 0.474190i | ||||
\(637\) | −16.2849 | + | 38.6352i | −0.645231 | + | 1.53078i | ||||
\(638\) | 4.69276 | + | 3.10315i | 0.185788 | + | 0.122855i | ||||
\(639\) | −7.71641 | + | 16.9601i | −0.305256 | + | 0.670932i | ||||
\(640\) | 31.7622 | + | 14.3587i | 1.25551 | + | 0.567578i | ||||
\(641\) | −6.31225 | + | 3.64438i | −0.249319 | + | 0.143944i | −0.619452 | − | 0.785034i | \(-0.712645\pi\) |
0.370133 | + | 0.928979i | \(0.379312\pi\) | |||||||
\(642\) | −6.35324 | + | 22.5913i | −0.250742 | + | 0.891607i | ||||
\(643\) | −25.1189 | −0.990594 | −0.495297 | − | 0.868724i | \(-0.664941\pi\) | ||||
−0.495297 | + | 0.868724i | \(0.664941\pi\) | |||||||
\(644\) | 13.1106 | + | 8.63771i | 0.516631 | + | 0.340373i | ||||
\(645\) | −29.7363 | + | 32.7576i | −1.17086 | + | 1.28983i | ||||
\(646\) | −1.85212 | + | 0.924435i | −0.0728707 | + | 0.0363714i | ||||
\(647\) | −20.2246 | − | 35.0301i | −0.795112 | − | 1.37717i | −0.922768 | − | 0.385355i | \(-0.874079\pi\) |
0.127657 | − | 0.991818i | \(-0.459254\pi\) | |||||||
\(648\) | 21.9005 | − | 12.9756i | 0.860334 | − | 0.509730i | ||||
\(649\) | 4.01543 | + | 2.31831i | 0.157619 | + | 0.0910016i | ||||
\(650\) | 31.7399 | + | 20.9884i | 1.24494 | + | 0.823233i | ||||
\(651\) | 5.53629 | + | 4.42905i | 0.216984 | + | 0.173588i | ||||
\(652\) | 19.5119 | − | 8.30228i | 0.764146 | − | 0.325142i | ||||
\(653\) | 22.0316 | − | 38.1599i | 0.862164 | − | 1.49331i | −0.00767187 | − | 0.999971i | \(-0.502442\pi\) |
0.869836 | − | 0.493341i | \(-0.164225\pi\) | |||||||
\(654\) | −1.03337 | + | 1.00817i | −0.0404081 | + | 0.0394225i | ||||
\(655\) | −6.54455 | − | 11.3355i | −0.255717 | − | 0.442915i | ||||
\(656\) | −10.4716 | − | 36.2814i | −0.408847 | − | 1.41655i | ||||
\(657\) | −30.7889 | + | 2.98400i | −1.20119 | + | 0.116417i | ||||
\(658\) | −21.6403 | + | 12.5429i | −0.843627 | + | 0.488975i | ||||
\(659\) | 5.89051 | 0.229462 | 0.114731 | − | 0.993397i | \(-0.463399\pi\) | ||||
0.114731 | + | 0.993397i | \(0.463399\pi\) | |||||||
\(660\) | 8.67538 | + | 10.0443i | 0.337689 | + | 0.390975i | ||||
\(661\) | −21.0993 | − | 36.5450i | −0.820667 | − | 1.42144i | −0.905186 | − | 0.425015i | \(-0.860269\pi\) |
0.0845192 | − | 0.996422i | \(-0.473065\pi\) | |||||||
\(662\) | −33.7677 | − | 2.05064i | −1.31242 | − | 0.0797004i | ||||
\(663\) | −3.77273 | − | 11.7734i | −0.146521 | − | 0.457239i | ||||
\(664\) | 14.5452 | + | 2.67624i | 0.564462 | + | 0.103858i | ||||
\(665\) | −8.96570 | − | 4.45604i | −0.347675 | − | 0.172798i | ||||
\(666\) | 1.44977 | + | 0.768895i | 0.0561776 | + | 0.0297941i | ||||
\(667\) | −8.22004 | − | 4.74584i | −0.318281 | − | 0.183760i | ||||
\(668\) | 18.7212 | − | 24.8887i | 0.724344 | − | 0.962971i | ||||
\(669\) | −5.04716 | + | 23.2808i | −0.195134 | + | 0.900087i | ||||
\(670\) | −48.3128 | + | 24.1140i | −1.86648 | + | 0.931605i | ||||
\(671\) | −7.87156 | −0.303878 | ||||||||
\(672\) | 11.3785 | − | 23.2923i | 0.438934 | − | 0.898519i | ||||
\(673\) | −46.7729 | −1.80296 | −0.901481 | − | 0.432818i | \(-0.857519\pi\) | ||||
−0.901481 | + | 0.432818i | \(0.857519\pi\) | |||||||
\(674\) | −32.4517 | + | 16.1974i | −1.24999 | + | 0.623899i | ||||
\(675\) | 2.72193 | − | 23.1832i | 0.104767 | − | 0.892320i | ||||
\(676\) | 27.5013 | − | 36.5613i | 1.05774 | − | 1.40621i | ||||
\(677\) | 35.7518 | + | 20.6413i | 1.37405 | + | 0.793310i | 0.991436 | − | 0.130596i | \(-0.0416892\pi\) |
0.382618 | + | 0.923907i | \(0.375023\pi\) | |||||||
\(678\) | −4.24537 | − | 16.6641i | −0.163042 | − | 0.639983i | ||||
\(679\) | −37.8032 | + | 25.0899i | −1.45075 | + | 0.962863i | ||||
\(680\) | −10.2134 | − | 1.87921i | −0.391665 | − | 0.0720646i | ||||
\(681\) | 7.86743 | − | 2.52109i | 0.301481 | − | 0.0966083i | ||||
\(682\) | 2.71591 | + | 0.164931i | 0.103997 | + | 0.00631554i | ||||
\(683\) | 17.1346 | + | 29.6781i | 0.655638 | + | 1.13560i | 0.981733 | + | 0.190262i | \(0.0609338\pi\) |
−0.326095 | + | 0.945337i | \(0.605733\pi\) | |||||||
\(684\) | −0.181938 | + | 7.36726i | −0.00695657 | + | 0.281694i | ||||
\(685\) | 2.40079 | 0.0917293 | ||||||||
\(686\) | 20.8510 | − | 15.8505i | 0.796093 | − | 0.605174i | ||||
\(687\) | 1.73043 | − | 1.90625i | 0.0660201 | − | 0.0727280i | ||||
\(688\) | 31.8617 | − | 9.19598i | 1.21472 | − | 0.350593i | ||||
\(689\) | −31.4642 | − | 54.4976i | −1.19869 | − | 2.07619i | ||||
\(690\) | −15.6367 | − | 16.0276i | −0.595279 | − | 0.610161i | ||||
\(691\) | 3.57575 | − | 6.19338i | 0.136028 | − | 0.235607i | −0.789962 | − | 0.613156i | \(-0.789900\pi\) |
0.925990 | + | 0.377549i | \(0.123233\pi\) | |||||||
\(692\) | 3.43845 | − | 1.46305i | 0.130710 | − | 0.0556169i | ||||
\(693\) | 7.65908 | − | 6.22611i | 0.290944 | − | 0.236511i | ||||
\(694\) | 1.11817 | + | 0.739406i | 0.0424453 | + | 0.0280675i | ||||
\(695\) | 14.8008 | + | 8.54522i | 0.561425 | + | 0.324139i | ||||
\(696\) | −6.03719 | + | 14.4623i | −0.228839 | + | 0.548194i | ||||
\(697\) | 5.62522 | + | 9.74316i | 0.213070 | + | 0.369048i | ||||
\(698\) | −17.9636 | + | 8.96602i | −0.679931 | + | 0.339369i | ||||
\(699\) | 2.96450 | + | 2.69108i | 0.112128 | + | 0.101786i | ||||
\(700\) | −10.6517 | − | 21.2506i | −0.402595 | − | 0.803199i | ||||
\(701\) | −12.4116 | −0.468778 | −0.234389 | − | 0.972143i | \(-0.575309\pi\) | ||||
−0.234389 | + | 0.972143i | \(0.575309\pi\) | |||||||
\(702\) | −43.3224 | − | 7.77278i | −1.63510 | − | 0.293365i | ||||
\(703\) | −0.411437 | + | 0.237543i | −0.0155176 | + | 0.00895911i | ||||
\(704\) | −1.58182 | − | 9.82193i | −0.0596170 | − | 0.370178i | ||||
\(705\) | 33.9714 | − | 10.8860i | 1.27944 | − | 0.409991i | ||||
\(706\) | 18.3073 | + | 12.1060i | 0.689006 | + | 0.455614i | ||||
\(707\) | 7.86299 | + | 3.90798i | 0.295718 | + | 0.146975i | ||||
\(708\) | −4.24389 | + | 12.1988i | −0.159495 | + | 0.458458i | ||||
\(709\) | 30.5908 | + | 17.6616i | 1.14886 | + | 0.663295i | 0.948609 | − | 0.316450i | \(-0.102491\pi\) |
0.200251 | + | 0.979745i | \(0.435824\pi\) | |||||||
\(710\) | 1.64040 | − | 27.0123i | 0.0615631 | − | 1.01375i | ||||
\(711\) | −31.3177 | + | 22.3682i | −1.17451 | + | 0.838872i | ||||
\(712\) | 29.8894 | + | 25.4609i | 1.12015 | + | 0.954187i | ||||
\(713\) | −4.59050 | −0.171916 | ||||||||
\(714\) | −1.62355 | + | 7.55057i | −0.0607597 | + | 0.282573i | ||||
\(715\) | − | 22.9481i | − | 0.858211i | ||||||
\(716\) | 30.6977 | + | 3.74221i | 1.14723 | + | 0.139853i | ||||
\(717\) | 7.92780 | − | 36.5682i | 0.296069 | − | 1.36566i | ||||
\(718\) | 20.0057 | + | 1.21491i | 0.746607 | + | 0.0453399i | ||||
\(719\) | −12.1803 | + | 21.0969i | −0.454250 | + | 0.786783i | −0.998645 | − | 0.0520455i | \(-0.983426\pi\) |
0.544395 | + | 0.838829i | \(0.316759\pi\) | |||||||
\(720\) | −22.9470 | + | 28.9882i | −0.855184 | + | 1.08033i | ||||
\(721\) | −2.04942 | − | 32.8289i | −0.0763243 | − | 1.22261i | ||||
\(722\) | 20.6334 | + | 13.6441i | 0.767895 | + | 0.507781i | ||||
\(723\) | −6.44687 | + | 2.06587i | −0.239762 | + | 0.0768307i | ||||
\(724\) | −19.9728 | + | 26.5527i | −0.742284 | + | 0.986822i | ||||
\(725\) | 7.18536 | + | 12.4454i | 0.266858 | + | 0.462211i | ||||
\(726\) | −6.26898 | + | 22.2917i | −0.232664 | + | 0.827321i | ||||
\(727\) | − | 5.15142i | − | 0.191055i | −0.995427 | − | 0.0955277i | \(-0.969546\pi\) | ||
0.995427 | − | 0.0955277i | \(-0.0304539\pi\) | |||||||
\(728\) | −41.2138 | + | 17.6188i | −1.52748 | + | 0.652997i | ||||
\(729\) | 7.71680 | + | 25.8738i | 0.285807 | + | 0.958287i | ||||
\(730\) | 40.1975 | − | 20.0635i | 1.48778 | − | 0.742583i | ||||
\(731\) | −8.55627 | + | 4.93997i | −0.316465 | + | 0.182711i | ||||
\(732\) | −4.11533 | − | 21.5376i | −0.152107 | − | 0.796053i | ||||
\(733\) | −3.74171 | + | 6.48083i | −0.138203 | + | 0.239375i | −0.926817 | − | 0.375514i | \(-0.877466\pi\) |
0.788613 | + | 0.614889i | \(0.210799\pi\) | |||||||
\(734\) | −10.4125 | + | 15.7464i | −0.384333 | + | 0.581211i | ||||
\(735\) | −33.8788 | + | 15.7348i | −1.24964 | + | 0.580388i | ||||
\(736\) | 3.66827 | + | 16.3785i | 0.135214 | + | 0.603721i | ||||
\(737\) | 13.3464 | + | 7.70552i | 0.491619 | + | 0.283837i | ||||
\(738\) | 40.0272 | − | 1.44011i | 1.47342 | − | 0.0530114i | ||||
\(739\) | −2.26360 | + | 1.30689i | −0.0832679 | + | 0.0480747i | −0.541056 | − | 0.840987i | \(-0.681975\pi\) |
0.457788 | + | 0.889061i | \(0.348642\pi\) | |||||||
\(740\) | −2.36590 | − | 0.288416i | −0.0869722 | − | 0.0106024i | ||||
\(741\) | 8.56448 | − | 9.43466i | 0.314624 | − | 0.346591i | ||||
\(742\) | 0.0665544 | + | 39.3110i | 0.00244329 | + | 1.44315i | ||||
\(743\) | − | 23.6093i | − | 0.866140i | −0.901360 | − | 0.433070i | \(-0.857430\pi\) | ||
0.901360 | − | 0.433070i | \(-0.142570\pi\) | |||||||
\(744\) | 0.968630 | + | 7.51730i | 0.0355117 | + | 0.275597i | ||||
\(745\) | 11.0580 | − | 6.38431i | 0.405132 | − | 0.233903i | ||||
\(746\) | 7.44852 | + | 0.452332i | 0.272710 | + | 0.0165611i | ||||
\(747\) | −6.49617 | + | 14.2781i | −0.237683 | + | 0.522409i | ||||
\(748\) | 1.16046 | + | 2.72730i | 0.0424306 | + | 0.0997200i | ||||
\(749\) | −25.2987 | + | 1.57933i | −0.924394 | + | 0.0577074i | ||||
\(750\) | −0.945998 | − | 3.71328i | −0.0345430 | − | 0.135590i | ||||
\(751\) | 0.504993 | − | 0.874673i | 0.0184275 | − | 0.0319173i | −0.856665 | − | 0.515874i | \(-0.827467\pi\) |
0.875092 | + | 0.483956i | \(0.160801\pi\) | |||||||
\(752\) | −25.9564 | − | 6.42392i | −0.946534 | − | 0.234256i | ||||
\(753\) | −5.74418 | + | 26.4959i | −0.209330 | + | 0.965564i | ||||
\(754\) | 24.2450 | − | 12.1012i | 0.882952 | − | 0.440701i | ||||
\(755\) | − | 13.3397i | − | 0.485480i | ||||||
\(756\) | 21.0397 | + | 17.7012i | 0.765207 | + | 0.643785i | ||||
\(757\) | − | 11.1837i | − | 0.406478i | −0.979129 | − | 0.203239i | \(-0.934853\pi\) | ||
0.979129 | − | 0.203239i | \(-0.0651469\pi\) | |||||||
\(758\) | 9.70205 | + | 19.4382i | 0.352394 | + | 0.706028i | ||||
\(759\) | −1.35404 | + | 6.24572i | −0.0491486 | + | 0.226705i | ||||
\(760\) | −3.58594 | − | 10.0847i | −0.130076 | − | 0.365811i | ||||
\(761\) | 3.99009 | − | 6.91104i | 0.144641 | − | 0.250525i | −0.784598 | − | 0.620005i | \(-0.787131\pi\) |
0.929239 | + | 0.369480i | \(0.120464\pi\) | |||||||
\(762\) | 13.9749 | − | 3.56024i | 0.506256 | − | 0.128974i | ||||
\(763\) | −1.39641 | − | 0.694029i | −0.0505534 | − | 0.0251255i | ||||
\(764\) | 0.831163 | − | 0.353658i | 0.0300704 | − | 0.0127949i | ||||
\(765\) | 4.56150 | − | 10.0259i | 0.164922 | − | 0.362486i | ||||
\(766\) | 0.232182 | − | 3.82332i | 0.00838907 | − | 0.138142i | ||||
\(767\) | 19.3402 | − | 11.1661i | 0.698333 | − | 0.403183i | ||||
\(768\) | 26.0471 | − | 9.46307i | 0.939893 | − | 0.341469i | ||||
\(769\) | − | 11.8900i | − | 0.428766i | −0.976750 | − | 0.214383i | \(-0.931226\pi\) | ||
0.976750 | − | 0.214383i | \(-0.0687740\pi\) | |||||||
\(770\) | −7.14677 | + | 12.4271i | −0.257552 | + | 0.447842i | ||||
\(771\) | −15.2075 | + | 16.7527i | −0.547686 | + | 0.603333i | ||||
\(772\) | 3.41185 | + | 0.415923i | 0.122795 | + | 0.0149694i | ||||
\(773\) | −31.4449 | + | 18.1547i | −1.13099 | + | 0.652979i | −0.944185 | − | 0.329417i | \(-0.893148\pi\) |
−0.186809 | + | 0.982396i | \(0.559814\pi\) | |||||||
\(774\) | 1.26468 | + | 35.1511i | 0.0454581 | + | 1.26348i | ||||
\(775\) | 6.01902 | + | 3.47508i | 0.216210 | + | 0.124829i | ||||
\(776\) | −47.7035 | − | 8.77722i | −1.71246 | − | 0.315084i | ||||
\(777\) | −0.266891 | + | 1.75233i | −0.00957465 | + | 0.0628644i | ||||
\(778\) | −14.9885 | − | 9.91135i | −0.537364 | − | 0.355339i | ||||
\(779\) | −5.79771 | + | 10.0419i | −0.207725 | + | 0.359790i | ||||
\(780\) | 62.7891 | − | 11.9975i | 2.24821 | − | 0.429580i | ||||
\(781\) | −6.68897 | + | 3.86188i | −0.239350 | + | 0.138189i | ||||
\(782\) | −2.23315 | − | 4.47415i | −0.0798572 | − | 0.159995i | ||||
\(783\) | −13.3281 | − | 9.93321i | −0.476309 | − | 0.354984i | ||||
\(784\) | 27.8056 | + | 3.29413i | 0.993055 | + | 0.117648i | ||||
\(785\) | − | 19.7807i | − | 0.706005i | ||||||
\(786\) | −10.0178 | − | 2.81726i | −0.357323 | − | 0.100488i | ||||
\(787\) | 6.73055 | + | 11.6577i | 0.239918 | + | 0.415551i | 0.960691 | − | 0.277621i | \(-0.0895460\pi\) |
−0.720772 | + | 0.693172i | \(0.756213\pi\) | |||||||
\(788\) | −19.7435 | + | 26.2478i | −0.703334 | + | 0.935040i | ||||
\(789\) | 50.0638 | − | 16.0427i | 1.78232 | − | 0.571137i | ||||
\(790\) | 30.8305 | − | 46.6237i | 1.09690 | − | 1.65880i | ||||
\(791\) | 15.4759 | − | 10.2713i | 0.550259 | − | 0.365206i | ||||
\(792\) | 10.5136 | + | 0.899452i | 0.373583 | + | 0.0319606i | ||||
\(793\) | −18.9565 | + | 32.8337i | −0.673167 | + | 1.16596i | ||||
\(794\) | −2.05082 | + | 33.7707i | −0.0727810 | + | 1.19848i | ||||
\(795\) | 11.8788 | − | 54.7927i | 0.421297 | − | 1.94330i | ||||
\(796\) | 0.234577 | − | 1.92426i | 0.00831436 | − | 0.0682034i | ||||
\(797\) | 13.9811i | 0.495236i | 0.968858 | + | 0.247618i | \(0.0796479\pi\) | ||||
−0.968858 | + | 0.247618i | \(0.920352\pi\) | |||||||
\(798\) | −7.57617 | + | 2.44191i | −0.268194 | + | 0.0864425i | ||||
\(799\) | 7.96643 | 0.281832 | ||||||||
\(800\) | 7.58902 | − | 24.2523i | 0.268312 | − | 0.857449i | ||||
\(801\) | −33.8891 | + | 24.2047i | −1.19741 | + | 0.855232i | ||||
\(802\) | 38.4625 | + | 2.33575i | 1.35816 | + | 0.0824781i | ||||
\(803\) | −11.1045 | − | 6.41121i | −0.391871 | − | 0.226247i | ||||
\(804\) | −14.1057 | + | 40.5459i | −0.497470 | + | 1.42994i | ||||
\(805\) | 10.7644 | − | 21.6584i | 0.379396 | − | 0.763357i | ||||
\(806\) | 7.22849 | − | 10.9313i | 0.254613 | − | 0.385040i | ||||
\(807\) | 1.30411 | − | 0.417895i | 0.0459067 | − | 0.0147106i | ||||
\(808\) | 3.14489 | + | 8.84436i | 0.110637 | + | 0.311144i | ||||
\(809\) | 2.99316 | − | 1.72810i | 0.105234 | − | 0.0607569i | −0.446459 | − | 0.894804i | \(-0.647315\pi\) |
0.551693 | + | 0.834047i | \(0.313982\pi\) | |||||||
\(810\) | −23.9242 | − | 31.0705i | −0.840612 | − | 1.09171i | ||||
\(811\) | 45.3167 | 1.59129 | 0.795643 | − | 0.605766i | \(-0.207133\pi\) | ||||
0.795643 | + | 0.605766i | \(0.207133\pi\) | |||||||
\(812\) | −16.8981 | − | 0.997475i | −0.593008 | − | 0.0350045i | ||||
\(813\) | 7.33222 | + | 6.65595i | 0.257152 | + | 0.233434i | ||||
\(814\) | 0.303789 | + | 0.608646i | 0.0106478 | + | 0.0213330i | ||||
\(815\) | −16.3327 | − | 28.2891i | −0.572111 | − | 0.990924i | ||||
\(816\) | −6.85555 | + | 4.60103i | −0.239992 | + | 0.161068i | ||||
\(817\) | −8.81865 | − | 5.09145i | −0.308525 | − | 0.178127i | ||||
\(818\) | 6.14586 | − | 9.29413i | 0.214885 | − | 0.324962i | ||||
\(819\) | −7.52542 | − | 46.9413i | −0.262959 | − | 1.64026i | ||||
\(820\) | −53.5279 | + | 22.7760i | −1.86927 | + | 0.795372i | ||||
\(821\) | 22.3394 | − | 38.6931i | 0.779652 | − | 1.35040i | −0.152490 | − | 0.988305i | \(-0.548729\pi\) |
0.932142 | − | 0.362092i | \(-0.117937\pi\) | |||||||
\(822\) | 1.36624 | − | 1.33291i | 0.0476529 | − | 0.0464906i | ||||
\(823\) | 21.1932 | + | 36.7076i | 0.738747 | + | 1.27955i | 0.953060 | + | 0.302783i | \(0.0979157\pi\) |
−0.214312 | + | 0.976765i | \(0.568751\pi\) | |||||||
\(824\) | 22.8023 | − | 26.7685i | 0.794357 | − | 0.932524i | ||||
\(825\) | 6.50352 | − | 7.16430i | 0.226424 | − | 0.249429i | ||||
\(826\) | −13.9507 | + | 0.0236189i | −0.485409 | + | 0.000821806i | ||||
\(827\) | 9.18843 | 0.319513 | 0.159757 | − | 0.987156i | \(-0.448929\pi\) | ||||
0.159757 | + | 0.987156i | \(0.448929\pi\) | |||||||
\(828\) | −17.7970 | − | 0.439505i | −0.618489 | − | 0.0152739i | ||||
\(829\) | −13.0225 | − | 22.5556i | −0.452290 | − | 0.783389i | 0.546238 | − | 0.837630i | \(-0.316059\pi\) |
−0.998528 | + | 0.0542413i | \(0.982726\pi\) | |||||||
\(830\) | 1.38099 | − | 22.7407i | 0.0479350 | − | 0.789341i | ||||
\(831\) | −29.3581 | + | 9.40769i | −1.01842 | + | 0.326349i | ||||
\(832\) | −44.7784 | − | 17.0554i | −1.55241 | − | 0.591291i | ||||
\(833\) | −8.27719 | + | 1.03749i | −0.286788 | + | 0.0359468i | ||||
\(834\) | 13.1671 | − | 3.35445i | 0.455939 | − | 0.116155i | ||||
\(835\) | −41.5484 | − | 23.9880i | −1.43784 | − | 0.830139i | ||||
\(836\) | −1.83632 | + | 2.44127i | −0.0635103 | + | 0.0844332i | ||||
\(837\) | −7.98437 | − | 0.937445i | −0.275980 | − | 0.0324029i | ||||
\(838\) | −12.5423 | − | 25.1286i | −0.433265 | − | 0.868053i | ||||
\(839\) | 31.2096 | 1.07748 | 0.538738 | − | 0.842473i | \(-0.318901\pi\) | ||||
0.538738 | + | 0.842473i | \(0.318901\pi\) | |||||||
\(840\) | −37.7386 | − | 13.0575i | −1.30210 | − | 0.450525i | ||||
\(841\) | −18.7664 | −0.647116 | ||||||||
\(842\) | 10.5160 | + | 21.0690i | 0.362406 | + | 0.726087i | ||||
\(843\) | −10.2438 | + | 47.2509i | −0.352814 | + | 1.62741i | ||||
\(844\) | −15.9726 | − | 12.0145i | −0.549799 | − | 0.413557i | ||||
\(845\) | −61.0345 | − | 35.2383i | −2.09965 | − | 1.21223i | ||||
\(846\) | 13.2885 | − | 25.0558i | 0.456868 | − | 0.861438i | ||||
\(847\) | −24.9632 | + | 1.55838i | −0.857744 | + | 0.0535467i | ||||
\(848\) | −29.1408 | + | 30.2810i | −1.00070 | + | 1.03985i | ||||
\(849\) | 1.91537 | + | 5.97721i | 0.0657354 | + | 0.205137i | ||||
\(850\) | −0.458920 | + | 7.55699i | −0.0157408 | + | 0.259203i | ||||
\(851\) | −0.573831 | − | 0.993904i | −0.0196707 | − | 0.0340706i | ||||
\(852\) | −14.0637 | − | 16.2829i | −0.481813 | − | 0.557841i | ||||
\(853\) | −4.78201 | −0.163733 | −0.0818665 | − | 0.996643i | \(-0.526088\pi\) | ||||
−0.0818665 | + | 0.996643i | \(0.526088\pi\) | |||||||
\(854\) | 20.4910 | − | 11.8768i | 0.701187 | − | 0.406415i | ||||
\(855\) | 11.2996 | − | 1.09513i | 0.386438 | − | 0.0374528i | ||||
\(856\) | −20.6284 | − | 17.5720i | −0.705064 | − | 0.600599i | ||||
\(857\) | 15.2965 | + | 26.4944i | 0.522520 | + | 0.905031i | 0.999657 | + | 0.0262016i | \(0.00834119\pi\) |
−0.477137 | + | 0.878829i | \(0.658325\pi\) | |||||||
\(858\) | −12.7408 | − | 13.0593i | −0.434962 | − | 0.445836i | ||||
\(859\) | −12.2711 | + | 21.2542i | −0.418684 | + | 0.725183i | −0.995807 | − | 0.0914746i | \(-0.970842\pi\) |
0.577123 | + | 0.816657i | \(0.304175\pi\) | |||||||
\(860\) | −20.0015 | − | 47.0072i | −0.682045 | − | 1.60293i | ||||
\(861\) | 15.7432 | + | 40.2961i | 0.536528 | + | 1.37329i | ||||
\(862\) | 17.8830 | − | 27.0437i | 0.609097 | − | 0.921111i | ||||
\(863\) | −32.1415 | − | 18.5569i | −1.09411 | − | 0.631684i | −0.159441 | − | 0.987207i | \(-0.550969\pi\) |
−0.934667 | + | 0.355523i | \(0.884303\pi\) | |||||||
\(864\) | 3.03558 | + | 29.2367i | 0.103273 | + | 0.994653i | ||||
\(865\) | −2.87820 | − | 4.98519i | −0.0978617 | − | 0.169501i | ||||
\(866\) | −6.68358 | − | 13.3907i | −0.227117 | − | 0.455033i | ||||
\(867\) | −18.1376 | + | 19.9805i | −0.615986 | + | 0.678573i | ||||
\(868\) | −7.31881 | + | 3.66847i | −0.248417 | + | 0.124516i | ||||
\(869\) | −15.9530 | −0.541170 | ||||||||
\(870\) | 23.2406 | + | 6.53584i | 0.787929 | + | 0.221586i | ||||
\(871\) | 64.2823 | − | 37.1134i | 2.17812 | − | 1.25754i | ||||
\(872\) | −0.558510 | − | 1.57069i | −0.0189135 | − | 0.0531904i | ||||
\(873\) | 21.3054 | − | 46.8277i | 0.721078 | − | 1.58488i | ||||
\(874\) | 2.84273 | − | 4.29894i | 0.0961568 | − | 0.145414i | ||||
\(875\) | 3.44850 | − | 2.28877i | 0.116581 | − | 0.0773744i | ||||
\(876\) | 11.7363 | − | 33.7353i | 0.396534 | − | 1.13981i | ||||
\(877\) | −28.4107 | − | 16.4029i | −0.959360 | − | 0.553887i | −0.0633837 | − | 0.997989i | \(-0.520189\pi\) |
−0.895976 | + | 0.444103i | \(0.853523\pi\) | |||||||
\(878\) | −10.9101 | − | 0.662544i | −0.368196 | − | 0.0223598i | ||||
\(879\) | 3.58548 | − | 16.5386i | 0.120935 | − | 0.557832i | ||||
\(880\) | −14.7244 | + | 4.24977i | −0.496358 | + | 0.143260i | ||||
\(881\) | −27.1405 | −0.914385 | −0.457193 | − | 0.889368i | \(-0.651145\pi\) | ||||
−0.457193 | + | 0.889368i | \(0.651145\pi\) | |||||||
\(882\) | −10.5438 | + | 27.7638i | −0.355027 | + | 0.934856i | ||||
\(883\) | − | 47.9537i | − | 1.61377i | −0.590709 | − | 0.806884i | \(-0.701152\pi\) | ||
0.590709 | − | 0.806884i | \(-0.298848\pi\) | |||||||
\(884\) | 14.1707 | + | 1.72749i | 0.476613 | + | 0.0581017i | ||||
\(885\) | 19.4449 | + | 4.21556i | 0.653633 | + | 0.141704i | ||||
\(886\) | −0.391841 | + | 6.45242i | −0.0131642 | + | 0.216773i | ||||
\(887\) | −14.5502 | + | 25.2017i | −0.488548 | + | 0.846190i | −0.999913 | − | 0.0131735i | \(-0.995807\pi\) |
0.511365 | + | 0.859364i | \(0.329140\pi\) | |||||||
\(888\) | −1.50651 | + | 1.14941i | −0.0505552 | + | 0.0385718i | ||||
\(889\) | 8.61372 | + | 12.9784i | 0.288895 | + | 0.435280i | ||||
\(890\) | 33.3619 | − | 50.4518i | 1.11829 | − | 1.69115i | ||||
\(891\) | −3.63058 | + | 10.5868i | −0.121629 | + | 0.354672i | ||||
\(892\) | −21.9823 | − | 16.5350i | −0.736020 | − | 0.553632i | ||||
\(893\) | 4.10536 | + | 7.11070i | 0.137381 | + | 0.237950i | ||||
\(894\) | 2.74828 | − | 9.77253i | 0.0919163 | − | 0.326842i | ||||
\(895\) | − | 47.6391i | − | 1.59240i | ||||||
\(896\) | 18.9373 | + | 23.1814i | 0.632650 | + | 0.774438i | ||||
\(897\) | 22.7912 | + | 20.6891i | 0.760976 | + | 0.690789i | ||||
\(898\) | −2.73911 | − | 5.48784i | −0.0914051 | − | 0.183132i | ||||
\(899\) | 4.28625 | − | 2.47467i | 0.142954 | − | 0.0825348i | ||||
\(900\) | 23.0026 | + | 14.0489i | 0.766752 | + | 0.468297i | ||||
\(901\) | 6.26024 | − | 10.8431i | 0.208559 | − | 0.361235i | ||||
\(902\) | 13.8488 | + | 9.15770i | 0.461115 | + | 0.304918i | ||||
\(903\) | −35.3873 | + | 13.8254i | −1.17762 | + | 0.460081i | ||||
\(904\) | 19.5289 | + | 3.59323i | 0.649522 | + | 0.119509i | ||||
\(905\) | 44.3263 | + | 25.5918i | 1.47346 | + | 0.850700i | ||||
\(906\) | −7.40615 | − | 7.59131i | −0.246053 | − | 0.252204i | ||||
\(907\) | −1.60692 | + | 0.927757i | −0.0533570 | + | 0.0308057i | −0.526441 | − | 0.850212i | \(-0.676474\pi\) |
0.473084 | + | 0.881017i | \(0.343141\pi\) | |||||||
\(908\) | −1.15438 | + | 9.46945i | −0.0383093 | + | 0.314255i | ||||
\(909\) | −9.90984 | + | 0.960442i | −0.328688 | + | 0.0318558i | ||||
\(910\) | 34.6246 | + | 59.7378i | 1.14780 | + | 1.98029i | ||||
\(911\) | 12.2209i | 0.404896i | 0.979293 | + | 0.202448i | \(0.0648897\pi\) | ||||
−0.979293 | + | 0.202448i | \(0.935110\pi\) | |||||||
\(912\) | −7.63968 | − | 3.74808i | −0.252975 | − | 0.124111i | ||||
\(913\) | −5.63121 | + | 3.25118i | −0.186366 | + | 0.107598i | ||||
\(914\) | −1.69470 | + | 27.9065i | −0.0560558 | + | 0.923065i | ||||
\(915\) | −32.1672 | + | 10.3078i | −1.06341 | + | 0.340767i | ||||
\(916\) | 1.16394 | + | 2.73548i | 0.0384576 | + | 0.0903827i | ||||
\(917\) | −0.700333 | − | 11.2184i | −0.0231270 | − | 0.370463i | ||||
\(918\) | −2.97049 | − | 8.23804i | −0.0980406 | − | 0.271896i | ||||
\(919\) | 14.5126 | − | 25.1365i | 0.478726 | − | 0.829177i | −0.520977 | − | 0.853571i | \(-0.674432\pi\) |
0.999702 | + | 0.0243939i | \(0.00776558\pi\) | |||||||
\(920\) | 24.3615 | − | 8.66251i | 0.803175 | − | 0.285594i | ||||
\(921\) | 16.1978 | + | 3.51161i | 0.533737 | + | 0.115712i | ||||
\(922\) | 15.9993 | + | 32.0548i | 0.526907 | + | 1.05567i | ||||
\(923\) | 37.2012i | 1.22449i | ||||||||
\(924\) | 2.83243 | + | 11.0399i | 0.0931803 | + | 0.363185i | ||||
\(925\) | 1.73760i | 0.0571318i | ||||||||
\(926\) | 26.5186 | − | 13.2360i | 0.871456 | − | 0.434963i | ||||
\(927\) | 21.6774 | + | 30.3505i | 0.711978 | + | 0.996841i | ||||
\(928\) | −12.2546 | − | 13.3155i | −0.402275 | − | 0.437102i | ||||
\(929\) | 14.7335 | − | 25.5191i | 0.483390 | − | 0.837255i | −0.516428 | − | 0.856330i | \(-0.672739\pi\) |
0.999818 | + | 0.0190749i | \(0.00607211\pi\) | |||||||
\(930\) | 11.3145 | − | 2.88250i | 0.371018 | − | 0.0945209i | ||||
\(931\) | −5.19155 | − | 6.85342i | −0.170146 | − | 0.224612i | ||||
\(932\) | −4.25407 | + | 1.81010i | −0.139347 | + | 0.0592917i | ||||
\(933\) | 9.35719 | + | 29.2005i | 0.306341 | + | 0.955982i | ||||
\(934\) | 43.8745 | + | 2.66440i | 1.43562 | + | 0.0871819i | ||||
\(935\) | 3.95414 | − | 2.28292i | 0.129314 | − | 0.0746596i | ||||
\(936\) | 29.0709 | − | 41.6879i | 0.950212 | − | 1.36261i | ||||
\(937\) | − | 23.9964i | − | 0.783929i | −0.919980 | − | 0.391965i | \(-0.871796\pi\) | ||
0.919980 | − | 0.391965i | \(-0.128204\pi\) | |||||||
\(938\) | −46.3691 | + | 0.0785037i | −1.51400 | + | 0.00256324i | ||||
\(939\) | 14.7116 | + | 13.3547i | 0.480094 | + | 0.435814i | ||||
\(940\) | −4.98457 | + | 40.8889i | −0.162579 | + | 1.33365i | ||||
\(941\) | 37.8505 | − | 21.8530i | 1.23389 | − | 0.712387i | 0.266052 | − | 0.963959i | \(-0.414281\pi\) |
0.967839 | + | 0.251571i | \(0.0809473\pi\) | |||||||
\(942\) | −10.9822 | − | 11.2568i | −0.357820 | − | 0.366766i | ||||
\(943\) | −24.2582 | − | 14.0055i | −0.789955 | − | 0.456081i | ||||
\(944\) | −10.7462 | − | 10.3415i | −0.349758 | − | 0.336588i | ||||
\(945\) | 23.1457 | − | 35.4727i | 0.752931 | − | 1.15393i | ||||
\(946\) | −8.04214 | + | 12.1618i | −0.261472 | + | 0.395414i | ||||
\(947\) | −15.9345 | + | 27.5994i | −0.517802 | + | 0.896859i | 0.481984 | + | 0.876180i | \(0.339916\pi\) |
−0.999786 | + | 0.0206793i | \(0.993417\pi\) | |||||||
\(948\) | −8.34041 | − | 43.6496i | −0.270884 | − | 1.41767i | ||||
\(949\) | −53.4846 | + | 30.8794i | −1.73618 | + | 1.00239i | ||||
\(950\) | −6.98173 | + | 3.48474i | −0.226517 | + | 0.113060i | ||||
\(951\) | 2.69250 | − | 2.96607i | 0.0873103 | − | 0.0961814i | ||||
\(952\) | −7.13588 | − | 5.34870i | −0.231275 | − | 0.173352i | ||||
\(953\) | 49.4699i | 1.60249i | 0.598338 | + | 0.801243i | \(0.295828\pi\) | ||||
−0.598338 | + | 0.801243i | \(0.704172\pi\) | |||||||
\(954\) | −23.6609 | − | 37.7764i | −0.766049 | − | 1.22306i | ||||
\(955\) | −0.695736 | − | 1.20505i | −0.0225135 | − | 0.0389945i | ||||
\(956\) | 34.5285 | + | 25.9723i | 1.11673 | + | 0.840003i | ||||
\(957\) | −2.10267 | − | 6.56171i | −0.0679698 | − | 0.212110i | ||||
\(958\) | 40.3184 | + | 26.6611i | 1.30263 | + | 0.861380i | ||||
\(959\) | 1.84621 | + | 0.917585i | 0.0596173 | + | 0.0296304i | ||||
\(960\) | −19.3260 | − | 38.0660i | −0.623743 | − | 1.22857i | ||||
\(961\) | −14.3032 | + | 24.7738i | −0.461392 | + | 0.799155i | ||||
\(962\) | 3.27037 | + | 0.198602i | 0.105441 | + | 0.00640320i | ||||
\(963\) | 23.3888 | − | 16.7051i | 0.753693 | − | 0.538313i | ||||
\(964\) | 0.945939 | − | 7.75963i | 0.0304667 | − | 0.249921i | ||||
\(965\) | − | 5.29478i | − | 0.170445i | ||||||
\(966\) | −5.89889 | − | 18.3017i | −0.189794 | − | 0.588847i | ||||
\(967\) | 18.5748 | 0.597324 | 0.298662 | − | 0.954359i | \(-0.403460\pi\) | ||||
0.298662 | + | 0.954359i | \(0.403460\pi\) | |||||||
\(968\) | −20.3548 | − | 17.3390i | −0.654228 | − | 0.557295i | ||||
\(969\) | 2.47767 | + | 0.537148i | 0.0795944 | + | 0.0172557i | ||||
\(970\) | −4.52922 | + | 74.5822i | −0.145424 | + | 2.39469i | ||||
\(971\) | 41.9333 | + | 24.2102i | 1.34570 | + | 0.776943i | 0.987638 | − | 0.156753i | \(-0.0501026\pi\) |
0.358067 | + | 0.933696i | \(0.383436\pi\) | |||||||
\(972\) | −30.8650 | − | 4.39884i | −0.989996 | − | 0.141093i | ||||
\(973\) | 8.11583 | + | 12.2282i | 0.260182 | + | 0.392018i | ||||
\(974\) | −29.1064 | − | 19.2470i | −0.932628 | − | 0.616712i | ||||
\(975\) | −14.2216 | − | 44.3807i | −0.455456 | − | 1.42132i | ||||
\(976\) | 24.5779 | + | 6.08274i | 0.786719 | + | 0.194704i | ||||
\(977\) | −46.0630 | + | 26.5945i | −1.47369 | + | 0.850833i | −0.999561 | − | 0.0296250i | \(-0.990569\pi\) |
−0.474125 | + | 0.880458i | \(0.657235\pi\) | |||||||
\(978\) | −25.0007 | − | 7.03082i | −0.799433 | − | 0.224821i | ||||
\(979\) | −17.2629 | −0.551724 | ||||||||
\(980\) | −0.146051 | − | 43.1330i | −0.00466541 | − | 1.37783i | ||||
\(981\) | 1.75991 | − | 0.170567i | 0.0561897 | − | 0.00544580i | ||||
\(982\) | −54.7980 | + | 27.3509i | −1.74867 | + | 0.872803i | ||||
\(983\) | 7.97962 | + | 13.8211i | 0.254510 | + | 0.440825i | 0.964762 | − | 0.263123i | \(-0.0847524\pi\) |
−0.710252 | + | 0.703947i | \(0.751419\pi\) | |||||||
\(984\) | −17.8164 | + | 42.6799i | −0.567965 | + | 1.36059i | ||||
\(985\) | 43.8174 | + | 25.2980i | 1.39614 | + | 0.806061i | ||||
\(986\) | 4.49708 | + | 2.97375i | 0.143216 | + | 0.0947036i | ||||
\(987\) | 30.2848 | + | 4.61256i | 0.963975 | + | 0.146820i | ||||
\(988\) | 5.76071 | + | 13.5388i | 0.183273 | + | 0.430726i | ||||
\(989\) | 12.2994 | − | 21.3031i | 0.391097 | − | 0.677400i | ||||
\(990\) | −0.584453 | − | 16.2445i | −0.0185751 | − | 0.516285i | ||||
\(991\) | −4.26387 | − | 7.38524i | −0.135446 | − | 0.234600i | 0.790322 | − | 0.612692i | \(-0.209914\pi\) |
−0.925768 | + | 0.378092i | \(0.876580\pi\) | |||||||
\(992\) | −8.35260 | − | 2.61369i | −0.265195 | − | 0.0829847i | ||||
\(993\) | 30.6781 | + | 27.8486i | 0.973541 | + | 0.883749i | ||||
\(994\) | 11.5856 | − | 20.1456i | 0.367474 | − | 0.638979i | ||||
\(995\) | −2.98621 | −0.0946693 | ||||||||
\(996\) | −11.8397 | − | 13.7080i | −0.375155 | − | 0.434353i | ||||
\(997\) | 13.8974 | + | 24.0710i | 0.440136 | + | 0.762337i | 0.997699 | − | 0.0677970i | \(-0.0215970\pi\) |
−0.557564 | + | 0.830134i | \(0.688264\pi\) | |||||||
\(998\) | 52.6908 | + | 3.19980i | 1.66790 | + | 0.101288i | ||||
\(999\) | −0.795108 | − | 1.84591i | −0.0251561 | − | 0.0584019i |
(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 | 168.2.ba.c.5.20 | yes | 48 | |
3.2 | odd | 2 | inner | 168.2.ba.c.5.5 | ✓ | 48 | |
4.3 | odd | 2 | 672.2.bi.c.593.22 | 48 | |||
7.3 | odd | 6 | inner | 168.2.ba.c.101.12 | yes | 48 | |
8.3 | odd | 2 | 672.2.bi.c.593.3 | 48 | |||
8.5 | even | 2 | inner | 168.2.ba.c.5.13 | yes | 48 | |
12.11 | even | 2 | 672.2.bi.c.593.10 | 48 | |||
21.17 | even | 6 | inner | 168.2.ba.c.101.13 | yes | 48 | |
24.5 | odd | 2 | inner | 168.2.ba.c.5.12 | yes | 48 | |
24.11 | even | 2 | 672.2.bi.c.593.15 | 48 | |||
28.3 | even | 6 | 672.2.bi.c.17.15 | 48 | |||
56.3 | even | 6 | 672.2.bi.c.17.10 | 48 | |||
56.45 | odd | 6 | inner | 168.2.ba.c.101.5 | yes | 48 | |
84.59 | odd | 6 | 672.2.bi.c.17.3 | 48 | |||
168.59 | odd | 6 | 672.2.bi.c.17.22 | 48 | |||
168.101 | even | 6 | inner | 168.2.ba.c.101.20 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.ba.c.5.5 | ✓ | 48 | 3.2 | odd | 2 | inner | |
168.2.ba.c.5.12 | yes | 48 | 24.5 | odd | 2 | inner | |
168.2.ba.c.5.13 | yes | 48 | 8.5 | even | 2 | inner | |
168.2.ba.c.5.20 | yes | 48 | 1.1 | even | 1 | trivial | |
168.2.ba.c.101.5 | yes | 48 | 56.45 | odd | 6 | inner | |
168.2.ba.c.101.12 | yes | 48 | 7.3 | odd | 6 | inner | |
168.2.ba.c.101.13 | yes | 48 | 21.17 | even | 6 | inner | |
168.2.ba.c.101.20 | yes | 48 | 168.101 | even | 6 | inner | |
672.2.bi.c.17.3 | 48 | 84.59 | odd | 6 | |||
672.2.bi.c.17.10 | 48 | 56.3 | even | 6 | |||
672.2.bi.c.17.15 | 48 | 28.3 | even | 6 | |||
672.2.bi.c.17.22 | 48 | 168.59 | odd | 6 | |||
672.2.bi.c.593.3 | 48 | 8.3 | odd | 2 | |||
672.2.bi.c.593.10 | 48 | 12.11 | even | 2 | |||
672.2.bi.c.593.15 | 48 | 24.11 | even | 2 | |||
672.2.bi.c.593.22 | 48 | 4.3 | odd | 2 |