Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,2,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), 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: | \(0.862384341830\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 59.3 | ||
Character | \(\chi\) | \(=\) | 108.59 |
Dual form | 108.2.l.a.11.3 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{5}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.27725 | − | 0.607153i | −0.903151 | − | 0.429322i | ||||
\(3\) | 0.971698 | − | 1.43381i | 0.561010 | − | 0.827809i | ||||
\(4\) | 1.26273 | + | 1.55097i | 0.631365 | + | 0.775486i | ||||
\(5\) | 1.29726 | + | 3.56419i | 0.580152 | + | 1.59395i | 0.787921 | + | 0.615776i | \(0.211157\pi\) |
−0.207769 | + | 0.978178i | \(0.566620\pi\) | |||||||
\(6\) | −2.11164 | + | 1.24136i | −0.862074 | + | 0.506783i | ||||
\(7\) | 2.58045 | − | 0.455003i | 0.975319 | − | 0.171975i | 0.336796 | − | 0.941578i | \(-0.390657\pi\) |
0.638523 | + | 0.769603i | \(0.279546\pi\) | |||||||
\(8\) | −0.671144 | − | 2.74765i | −0.237285 | − | 0.971440i | ||||
\(9\) | −1.11160 | − | 2.78646i | −0.370535 | − | 0.928819i | ||||
\(10\) | 0.507086 | − | 5.33999i | 0.160355 | − | 1.68865i | ||||
\(11\) | −3.39295 | − | 1.23493i | −1.02301 | − | 0.372347i | −0.224597 | − | 0.974452i | \(-0.572107\pi\) |
−0.798417 | + | 0.602105i | \(0.794329\pi\) | |||||||
\(12\) | 3.45079 | − | 0.303435i | 0.996156 | − | 0.0875940i | ||||
\(13\) | −0.819980 | − | 0.688045i | −0.227421 | − | 0.190829i | 0.521956 | − | 0.852973i | \(-0.325203\pi\) |
−0.749377 | + | 0.662143i | \(0.769647\pi\) | |||||||
\(14\) | −3.57213 | − | 0.985577i | −0.954693 | − | 0.263406i | ||||
\(15\) | 6.37090 | + | 1.60330i | 1.64496 | + | 0.413970i | ||||
\(16\) | −0.811025 | + | 3.91692i | −0.202756 | + | 0.979229i | ||||
\(17\) | 0.980503 | + | 0.566093i | 0.237807 | + | 0.137298i | 0.614168 | − | 0.789175i | \(-0.289492\pi\) |
−0.376361 | + | 0.926473i | \(0.622825\pi\) | |||||||
\(18\) | −0.272010 | + | 4.23391i | −0.0641133 | + | 0.997943i | ||||
\(19\) | −0.0627092 | + | 0.0362052i | −0.0143865 | + | 0.00830603i | −0.507176 | − | 0.861843i | \(-0.669311\pi\) |
0.492790 | + | 0.870149i | \(0.335977\pi\) | |||||||
\(20\) | −3.88987 | + | 6.51262i | −0.869801 | + | 1.45627i | ||||
\(21\) | 1.85503 | − | 4.14199i | 0.404801 | − | 0.903857i | ||||
\(22\) | 3.58385 | + | 3.63736i | 0.764080 | + | 0.775488i | ||||
\(23\) | 0.0731435 | − | 0.414817i | 0.0152515 | − | 0.0864954i | −0.976232 | − | 0.216728i | \(-0.930461\pi\) |
0.991483 | + | 0.130233i | \(0.0415725\pi\) | |||||||
\(24\) | −4.59174 | − | 1.70759i | −0.937286 | − | 0.348561i | ||||
\(25\) | −7.19034 | + | 6.03341i | −1.43807 | + | 1.20668i | ||||
\(26\) | 0.629570 | + | 1.37666i | 0.123469 | + | 0.269985i | ||||
\(27\) | −5.07538 | − | 1.11377i | −0.976758 | − | 0.214345i | ||||
\(28\) | 3.96411 | + | 3.42766i | 0.749146 | + | 0.647767i | ||||
\(29\) | −0.192281 | − | 0.229152i | −0.0357057 | − | 0.0425524i | 0.747896 | − | 0.663816i | \(-0.231064\pi\) |
−0.783602 | + | 0.621263i | \(0.786620\pi\) | |||||||
\(30\) | −7.16378 | − | 5.91593i | −1.30792 | − | 1.08010i | ||||
\(31\) | −6.88084 | − | 1.21328i | −1.23583 | − | 0.217911i | −0.482705 | − | 0.875783i | \(-0.660346\pi\) |
−0.753130 | + | 0.657872i | \(0.771457\pi\) | |||||||
\(32\) | 3.41405 | − | 4.51046i | 0.603524 | − | 0.797345i | ||||
\(33\) | −5.06759 | + | 3.66486i | −0.882154 | + | 0.637970i | ||||
\(34\) | −0.908641 | − | 1.31836i | −0.155831 | − | 0.226096i | ||||
\(35\) | 4.96923 | + | 8.60696i | 0.839953 | + | 1.45484i | ||||
\(36\) | 2.91806 | − | 5.24261i | 0.486343 | − | 0.873768i | ||||
\(37\) | 0.377668 | − | 0.654141i | 0.0620883 | − | 0.107540i | −0.833310 | − | 0.552805i | \(-0.813557\pi\) |
0.895399 | + | 0.445265i | \(0.146891\pi\) | |||||||
\(38\) | 0.102077 | − | 0.00816893i | 0.0165591 | − | 0.00132518i | ||||
\(39\) | −1.78330 | + | 0.507121i | −0.285556 | + | 0.0812043i | ||||
\(40\) | 8.92249 | − | 5.95649i | 1.41077 | − | 0.941804i | ||||
\(41\) | 6.36586 | − | 7.58654i | 0.994180 | − | 1.18482i | 0.0114196 | − | 0.999935i | \(-0.496365\pi\) |
0.982761 | − | 0.184883i | \(-0.0591906\pi\) | |||||||
\(42\) | −4.88416 | + | 4.16407i | −0.753643 | + | 0.642530i | ||||
\(43\) | −3.18308 | + | 8.74545i | −0.485416 | + | 1.33367i | 0.419375 | + | 0.907813i | \(0.362249\pi\) |
−0.904791 | + | 0.425856i | \(0.859973\pi\) | |||||||
\(44\) | −2.36904 | − | 6.82177i | −0.357146 | − | 1.02842i | ||||
\(45\) | 8.48942 | − | 7.57672i | 1.26553 | − | 1.12947i | ||||
\(46\) | −0.345280 | + | 0.485416i | −0.0509088 | + | 0.0715706i | ||||
\(47\) | −0.0443203 | − | 0.251353i | −0.00646479 | − | 0.0366636i | 0.981405 | − | 0.191950i | \(-0.0614811\pi\) |
−0.987870 | + | 0.155286i | \(0.950370\pi\) | |||||||
\(48\) | 4.82803 | + | 4.96892i | 0.696866 | + | 0.717201i | ||||
\(49\) | −0.126150 | + | 0.0459147i | −0.0180214 | + | 0.00655925i | ||||
\(50\) | 12.8471 | − | 3.34053i | 1.81685 | − | 0.472423i | ||||
\(51\) | 1.76442 | − | 0.855779i | 0.247068 | − | 0.119833i | ||||
\(52\) | 0.0317246 | − | 2.14058i | 0.00439941 | − | 0.296845i | ||||
\(53\) | 12.0634i | 1.65703i | 0.559967 | + | 0.828515i | \(0.310814\pi\) | ||||
−0.559967 | + | 0.828515i | \(0.689186\pi\) | |||||||
\(54\) | 5.80630 | + | 4.50409i | 0.790137 | + | 0.612930i | ||||
\(55\) | − | 13.6952i | − | 1.84666i | ||||||
\(56\) | −2.98204 | − | 6.78480i | −0.398492 | − | 0.906657i | ||||
\(57\) | −0.00902320 | + | 0.125093i | −0.00119515 | + | 0.0165690i | ||||
\(58\) | 0.106461 | + | 0.409428i | 0.0139790 | + | 0.0537605i | ||||
\(59\) | −11.7359 | + | 4.27153i | −1.52789 | + | 0.556106i | −0.963104 | − | 0.269131i | \(-0.913263\pi\) |
−0.564786 | + | 0.825237i | \(0.691041\pi\) | |||||||
\(60\) | 5.55806 | + | 11.9056i | 0.717543 | + | 1.53701i | ||||
\(61\) | −1.13416 | − | 6.43213i | −0.145214 | − | 0.823550i | −0.967195 | − | 0.254035i | \(-0.918242\pi\) |
0.821981 | − | 0.569515i | \(-0.192869\pi\) | |||||||
\(62\) | 8.05190 | + | 5.72738i | 1.02259 | + | 0.727378i | ||||
\(63\) | −4.13629 | − | 6.68453i | −0.521123 | − | 0.842171i | ||||
\(64\) | −7.09913 | + | 3.68813i | −0.887392 | + | 0.461016i | ||||
\(65\) | 1.38860 | − | 3.81514i | 0.172234 | − | 0.473209i | ||||
\(66\) | 8.69770 | − | 1.60414i | 1.07061 | − | 0.197455i | ||||
\(67\) | 4.37678 | − | 5.21604i | 0.534709 | − | 0.637241i | −0.429284 | − | 0.903170i | \(-0.641234\pi\) |
0.963993 | + | 0.265928i | \(0.0856785\pi\) | |||||||
\(68\) | 0.360115 | + | 2.23555i | 0.0436704 | + | 0.271101i | ||||
\(69\) | −0.523695 | − | 0.507951i | −0.0630454 | − | 0.0611501i | ||||
\(70\) | −1.12120 | − | 14.0103i | −0.134009 | − | 1.67455i | ||||
\(71\) | 6.35108 | − | 11.0004i | 0.753734 | − | 1.30551i | −0.192267 | − | 0.981343i | \(-0.561584\pi\) |
0.946001 | − | 0.324163i | \(-0.105083\pi\) | |||||||
\(72\) | −6.91015 | + | 4.92441i | −0.814369 | + | 0.580347i | ||||
\(73\) | −0.578249 | − | 1.00156i | −0.0676789 | − | 0.117223i | 0.830200 | − | 0.557465i | \(-0.188226\pi\) |
−0.897879 | + | 0.440242i | \(0.854893\pi\) | |||||||
\(74\) | −0.879540 | + | 0.606198i | −0.102244 | + | 0.0704691i | ||||
\(75\) | 1.66391 | + | 16.1722i | 0.192131 | + | 1.86741i | ||||
\(76\) | −0.135338 | − | 0.0515428i | −0.0155243 | − | 0.00591236i | ||||
\(77\) | −9.31725 | − | 1.64288i | −1.06180 | − | 0.187224i | ||||
\(78\) | 2.58561 | + | 0.435015i | 0.292763 | + | 0.0492557i | ||||
\(79\) | 5.09561 | + | 6.07271i | 0.573301 | + | 0.683233i | 0.972305 | − | 0.233716i | \(-0.0750886\pi\) |
−0.399004 | + | 0.916949i | \(0.630644\pi\) | |||||||
\(80\) | −15.0127 | + | 2.19061i | −1.67848 | + | 0.244917i | ||||
\(81\) | −6.52867 | + | 6.19487i | −0.725408 | + | 0.688319i | ||||
\(82\) | −12.7370 | + | 5.82484i | −1.40656 | + | 0.643246i | ||||
\(83\) | 3.00034 | − | 2.51758i | 0.329330 | − | 0.276340i | −0.463097 | − | 0.886308i | \(-0.653262\pi\) |
0.792427 | + | 0.609967i | \(0.208817\pi\) | |||||||
\(84\) | 8.76652 | − | 2.35312i | 0.956506 | − | 0.256746i | ||||
\(85\) | −0.745699 | + | 4.22907i | −0.0808824 | + | 0.458707i | ||||
\(86\) | 9.37542 | − | 9.23750i | 1.01098 | − | 0.996105i | ||||
\(87\) | −0.515398 | + | 0.0530276i | −0.0552565 | + | 0.00568516i | ||||
\(88\) | −1.11601 | + | 10.1515i | −0.118967 | + | 1.08215i | ||||
\(89\) | 2.07380 | − | 1.19731i | 0.219823 | − | 0.126915i | −0.386046 | − | 0.922480i | \(-0.626159\pi\) |
0.605868 | + | 0.795565i | \(0.292826\pi\) | |||||||
\(90\) | −15.4433 | + | 4.52299i | −1.62787 | + | 0.476765i | ||||
\(91\) | −2.42898 | − | 1.40237i | −0.254626 | − | 0.147009i | ||||
\(92\) | 0.735730 | − | 0.410359i | 0.0767052 | − | 0.0427829i | ||||
\(93\) | −8.42570 | + | 8.68685i | −0.873705 | + | 0.900785i | ||||
\(94\) | −0.0960018 | + | 0.347950i | −0.00990183 | + | 0.0358883i | ||||
\(95\) | −0.210392 | − | 0.176540i | −0.0215858 | − | 0.0181126i | ||||
\(96\) | −3.14970 | − | 9.27790i | −0.321465 | − | 0.946921i | ||||
\(97\) | 1.81485 | + | 0.660552i | 0.184270 | + | 0.0670689i | 0.432507 | − | 0.901630i | \(-0.357629\pi\) |
−0.248237 | + | 0.968699i | \(0.579851\pi\) | |||||||
\(98\) | 0.189002 | + | 0.0179476i | 0.0190921 | + | 0.00181299i | ||||
\(99\) | 0.330533 | + | 10.8271i | 0.0332198 | + | 1.08816i | ||||
\(100\) | −18.4371 | − | 3.53344i | −1.84371 | − | 0.353344i | ||||
\(101\) | 4.42993 | − | 0.781117i | 0.440795 | − | 0.0777241i | 0.0511538 | − | 0.998691i | \(-0.483710\pi\) |
0.389641 | + | 0.920967i | \(0.372599\pi\) | |||||||
\(102\) | −2.77319 | + | 0.0217692i | −0.274587 | + | 0.00215547i | ||||
\(103\) | 2.17204 | + | 5.96763i | 0.214017 | + | 0.588008i | 0.999524 | − | 0.0308451i | \(-0.00981984\pi\) |
−0.785507 | + | 0.618853i | \(0.787598\pi\) | |||||||
\(104\) | −1.34018 | + | 2.71479i | −0.131415 | + | 0.266207i | ||||
\(105\) | 17.1693 | + | 1.23845i | 1.67555 | + | 0.120861i | ||||
\(106\) | 7.32430 | − | 15.4079i | 0.711399 | − | 1.49655i | ||||
\(107\) | 9.90677 | 0.957724 | 0.478862 | − | 0.877890i | \(-0.341049\pi\) | ||||
0.478862 | + | 0.877890i | \(0.341049\pi\) | |||||||
\(108\) | −4.68142 | − | 9.27816i | −0.450470 | − | 0.892792i | ||||
\(109\) | 7.94635 | 0.761122 | 0.380561 | − | 0.924756i | \(-0.375731\pi\) | ||||
0.380561 | + | 0.924756i | \(0.375731\pi\) | |||||||
\(110\) | −8.31506 | + | 17.4921i | −0.792810 | + | 1.66781i | ||||
\(111\) | −0.570932 | − | 1.17713i | −0.0541905 | − | 0.111728i | ||||
\(112\) | −0.310602 | + | 10.4764i | −0.0293491 | + | 0.989930i | ||||
\(113\) | −3.44642 | − | 9.46897i | −0.324212 | − | 0.890766i | −0.989546 | − | 0.144219i | \(-0.953933\pi\) |
0.665334 | − | 0.746546i | \(-0.268289\pi\) | |||||||
\(114\) | 0.0874757 | − | 0.154297i | 0.00819285 | − | 0.0144512i | ||||
\(115\) | 1.57337 | − | 0.277428i | 0.146718 | − | 0.0258703i | ||||
\(116\) | 0.112609 | − | 0.587579i | 0.0104554 | − | 0.0545554i | ||||
\(117\) | −1.00571 | + | 3.04967i | −0.0929782 | + | 0.281942i | ||||
\(118\) | 17.5832 | + | 1.66970i | 1.61866 | + | 0.153709i | ||||
\(119\) | 2.78771 | + | 1.01464i | 0.255549 | + | 0.0930123i | ||||
\(120\) | 0.129508 | − | 18.5810i | 0.0118224 | − | 1.69621i | ||||
\(121\) | 1.56059 | + | 1.30949i | 0.141872 | + | 0.119045i | ||||
\(122\) | −2.45669 | + | 8.90404i | −0.222418 | + | 0.806134i | ||||
\(123\) | −4.69193 | − | 16.4992i | −0.423057 | − | 1.48769i | ||||
\(124\) | −6.80688 | − | 12.2040i | −0.611276 | − | 1.09595i | ||||
\(125\) | −14.4081 | − | 8.31852i | −1.28870 | − | 0.744031i | ||||
\(126\) | 1.22454 | + | 11.0492i | 0.109090 | + | 0.984338i | ||||
\(127\) | 11.0681 | − | 6.39020i | 0.982139 | − | 0.567038i | 0.0792237 | − | 0.996857i | \(-0.474756\pi\) |
0.902915 | + | 0.429819i | \(0.141423\pi\) | |||||||
\(128\) | 11.3066 | − | 0.400402i | 0.999374 | − | 0.0353909i | ||||
\(129\) | 9.44629 | + | 13.0619i | 0.831700 | + | 1.15003i | ||||
\(130\) | −4.08995 | + | 4.02979i | −0.358713 | + | 0.353436i | ||||
\(131\) | −1.12042 | + | 6.35420i | −0.0978913 | + | 0.555169i | 0.895932 | + | 0.444192i | \(0.146509\pi\) |
−0.993823 | + | 0.110977i | \(0.964602\pi\) | |||||||
\(132\) | −12.0831 | − | 3.23196i | −1.05170 | − | 0.281306i | ||||
\(133\) | −0.145344 | + | 0.121958i | −0.0126030 | + | 0.0105751i | ||||
\(134\) | −8.75717 | + | 4.00481i | −0.756505 | + | 0.345963i | ||||
\(135\) | −2.61440 | − | 19.5345i | −0.225012 | − | 1.68126i | ||||
\(136\) | 0.897367 | − | 3.07401i | 0.0769486 | − | 0.263594i | ||||
\(137\) | 1.38785 | + | 1.65398i | 0.118572 | + | 0.141309i | 0.822065 | − | 0.569393i | \(-0.192822\pi\) |
−0.703493 | + | 0.710702i | \(0.748377\pi\) | |||||||
\(138\) | 0.360484 | + | 0.966743i | 0.0306865 | + | 0.0822946i | ||||
\(139\) | −6.90717 | − | 1.21792i | −0.585859 | − | 0.103303i | −0.127141 | − | 0.991885i | \(-0.540580\pi\) |
−0.458718 | + | 0.888582i | \(0.651691\pi\) | |||||||
\(140\) | −7.07435 | + | 18.5754i | −0.597892 | + | 1.56991i | ||||
\(141\) | −0.403458 | − | 0.180693i | −0.0339773 | − | 0.0152171i | ||||
\(142\) | −14.7908 | + | 10.1942i | −1.24122 | + | 0.855475i | ||||
\(143\) | 1.93246 | + | 3.34713i | 0.161601 | + | 0.279901i | ||||
\(144\) | 11.8159 | − | 2.09418i | 0.984655 | − | 0.174515i | ||||
\(145\) | 0.567302 | − | 0.982595i | 0.0471118 | − | 0.0816001i | ||||
\(146\) | 0.130470 | + | 1.63032i | 0.0107977 | + | 0.134926i | ||||
\(147\) | −0.0567466 | + | 0.225490i | −0.00468038 | + | 0.0185981i | ||||
\(148\) | 1.49145 | − | 0.240250i | 0.122596 | − | 0.0197485i | ||||
\(149\) | −7.49826 | + | 8.93608i | −0.614282 | + | 0.732072i | −0.980076 | − | 0.198623i | \(-0.936353\pi\) |
0.365794 | + | 0.930696i | \(0.380797\pi\) | |||||||
\(150\) | 7.69379 | − | 21.6662i | 0.628196 | − | 1.76904i | ||||
\(151\) | −0.154723 | + | 0.425097i | −0.0125911 | + | 0.0345939i | −0.945829 | − | 0.324665i | \(-0.894748\pi\) |
0.933238 | + | 0.359259i | \(0.116971\pi\) | |||||||
\(152\) | 0.141566 | + | 0.148004i | 0.0114825 | + | 0.0120047i | ||||
\(153\) | 0.487463 | − | 3.36140i | 0.0394091 | − | 0.271753i | ||||
\(154\) | 10.9030 | + | 7.75537i | 0.878586 | + | 0.624946i | ||||
\(155\) | −4.60188 | − | 26.0985i | −0.369632 | − | 2.09629i | ||||
\(156\) | −3.03835 | − | 2.12549i | −0.243263 | − | 0.170175i | ||||
\(157\) | 17.2816 | − | 6.28998i | 1.37922 | − | 0.501995i | 0.457279 | − | 0.889323i | \(-0.348824\pi\) |
0.921942 | + | 0.387328i | \(0.126602\pi\) | |||||||
\(158\) | −2.82130 | − | 10.8502i | −0.224450 | − | 0.863193i | ||||
\(159\) | 17.2965 | + | 11.7219i | 1.37170 | + | 0.929611i | ||||
\(160\) | 20.5050 | + | 6.31708i | 1.62107 | + | 0.499409i | ||||
\(161\) | − | 1.10370i | − | 0.0869834i | ||||||
\(162\) | 12.1000 | − | 3.94849i | 0.950664 | − | 0.310223i | ||||
\(163\) | 22.5880i | 1.76923i | 0.466320 | + | 0.884616i | \(0.345579\pi\) | ||||
−0.466320 | + | 0.884616i | \(0.654421\pi\) | |||||||
\(164\) | 19.8049 | + | 0.293519i | 1.54650 | + | 0.0229200i | ||||
\(165\) | −19.6362 | − | 13.3076i | −1.52868 | − | 1.03599i | ||||
\(166\) | −5.36073 | + | 1.39391i | −0.416074 | + | 0.108189i | ||||
\(167\) | 4.32888 | − | 1.57558i | 0.334979 | − | 0.121922i | −0.169054 | − | 0.985607i | \(-0.554071\pi\) |
0.504033 | + | 0.863684i | \(0.331849\pi\) | |||||||
\(168\) | −12.6257 | − | 2.31711i | −0.974096 | − | 0.178769i | ||||
\(169\) | −2.05847 | − | 11.6741i | −0.158343 | − | 0.898010i | ||||
\(170\) | 3.52013 | − | 4.94882i | 0.269982 | − | 0.379557i | ||||
\(171\) | 0.170592 | + | 0.134490i | 0.0130455 | + | 0.0102847i | ||||
\(172\) | −17.5833 | + | 6.10627i | −1.34072 | + | 0.465599i | ||||
\(173\) | −2.55462 | + | 7.01876i | −0.194224 | + | 0.533626i | −0.998130 | − | 0.0611306i | \(-0.980529\pi\) |
0.803906 | + | 0.594757i | \(0.202752\pi\) | |||||||
\(174\) | 0.690488 | + | 0.245196i | 0.0523458 | + | 0.0185883i | ||||
\(175\) | −15.8091 | + | 18.8406i | −1.19506 | + | 1.42421i | ||||
\(176\) | 7.58891 | − | 12.2884i | 0.572036 | − | 0.926270i | ||||
\(177\) | −5.27924 | + | 20.9777i | −0.396812 | + | 1.57678i | ||||
\(178\) | −3.37571 | + | 0.270148i | −0.253020 | + | 0.0202484i | ||||
\(179\) | −5.08749 | + | 8.81180i | −0.380257 | + | 0.658625i | −0.991099 | − | 0.133128i | \(-0.957498\pi\) |
0.610842 | + | 0.791753i | \(0.290831\pi\) | |||||||
\(180\) | 22.4711 | + | 3.59949i | 1.67490 | + | 0.268290i | ||||
\(181\) | 8.40432 | + | 14.5567i | 0.624688 | + | 1.08199i | 0.988601 | + | 0.150559i | \(0.0481073\pi\) |
−0.363913 | + | 0.931433i | \(0.618559\pi\) | |||||||
\(182\) | 2.25096 | + | 3.26594i | 0.166852 | + | 0.242088i | ||||
\(183\) | −10.3245 | − | 4.62393i | −0.763209 | − | 0.341811i | ||||
\(184\) | −1.18886 | + | 0.0774295i | −0.0876440 | + | 0.00570818i | ||||
\(185\) | 2.82142 | + | 0.497492i | 0.207435 | + | 0.0365763i | ||||
\(186\) | 16.0360 | − | 5.97958i | 1.17581 | − | 0.438444i | ||||
\(187\) | −2.62771 | − | 3.13159i | −0.192157 | − | 0.229004i | ||||
\(188\) | 0.333877 | − | 0.386131i | 0.0243505 | − | 0.0281615i | ||||
\(189\) | −13.6035 | − | 0.564710i | −0.989512 | − | 0.0410766i | ||||
\(190\) | 0.161536 | + | 0.353226i | 0.0117191 | + | 0.0256257i | ||||
\(191\) | −0.0529445 | + | 0.0444257i | −0.00383093 | + | 0.00321453i | −0.644701 | − | 0.764435i | \(-0.723018\pi\) |
0.640870 | + | 0.767649i | \(0.278574\pi\) | |||||||
\(192\) | −1.61015 | + | 13.7625i | −0.116202 | + | 0.993226i | ||||
\(193\) | 4.64409 | − | 26.3379i | 0.334289 | − | 1.89585i | −0.0998555 | − | 0.995002i | \(-0.531838\pi\) |
0.434144 | − | 0.900843i | \(-0.357051\pi\) | |||||||
\(194\) | −1.91696 | − | 1.94558i | −0.137630 | − | 0.139685i | ||||
\(195\) | −4.12087 | − | 5.69814i | −0.295102 | − | 0.408052i | ||||
\(196\) | −0.230505 | − | 0.137677i | −0.0164647 | − | 0.00983405i | ||||
\(197\) | 3.87890 | − | 2.23948i | 0.276360 | − | 0.159557i | −0.355414 | − | 0.934709i | \(-0.615660\pi\) |
0.631774 | + | 0.775152i | \(0.282327\pi\) | |||||||
\(198\) | 6.15152 | − | 14.0296i | 0.437170 | − | 0.997037i | ||||
\(199\) | 8.51533 | + | 4.91633i | 0.603636 | + | 0.348509i | 0.770470 | − | 0.637476i | \(-0.220021\pi\) |
−0.166835 | + | 0.985985i | \(0.553355\pi\) | |||||||
\(200\) | 21.4034 | + | 15.7072i | 1.51345 | + | 1.11067i | ||||
\(201\) | −3.22589 | − | 11.3439i | −0.227537 | − | 0.800135i | ||||
\(202\) | −6.13239 | − | 1.69197i | −0.431473 | − | 0.119046i | ||||
\(203\) | −0.600437 | − | 0.503826i | −0.0421424 | − | 0.0353617i | ||||
\(204\) | 3.55528 | + | 1.65595i | 0.248919 | + | 0.115940i | ||||
\(205\) | 35.2980 | + | 12.8474i | 2.46532 | + | 0.897303i | ||||
\(206\) | 0.849030 | − | 8.94091i | 0.0591547 | − | 0.622943i | ||||
\(207\) | −1.23718 | + | 0.257302i | −0.0859897 | + | 0.0178837i | ||||
\(208\) | 3.36004 | − | 2.65377i | 0.232977 | − | 0.184006i | ||||
\(209\) | 0.257480 | − | 0.0454007i | 0.0178103 | − | 0.00314043i | ||||
\(210\) | −21.1776 | − | 12.0062i | −1.46139 | − | 0.828507i | ||||
\(211\) | −4.53594 | − | 12.4624i | −0.312267 | − | 0.857947i | −0.992198 | − | 0.124671i | \(-0.960212\pi\) |
0.679931 | − | 0.733276i | \(-0.262010\pi\) | |||||||
\(212\) | −18.7099 | + | 15.2328i | −1.28500 | + | 1.04619i | ||||
\(213\) | −9.60110 | − | 19.7953i | −0.657856 | − | 1.35635i | ||||
\(214\) | −12.6534 | − | 6.01493i | −0.864970 | − | 0.411172i | ||||
\(215\) | −35.2997 | −2.40742 | ||||||||
\(216\) | 0.346068 | + | 14.6929i | 0.0235469 | + | 0.999723i | ||||
\(217\) | −18.3077 | −1.24281 | ||||||||
\(218\) | −10.1495 | − | 4.82465i | −0.687408 | − | 0.326766i | ||||
\(219\) | −1.99792 | − | 0.144114i | −0.135007 | − | 0.00973829i | ||||
\(220\) | 21.2408 | − | 17.2933i | 1.43206 | − | 1.16591i | ||||
\(221\) | −0.414495 | − | 1.13881i | −0.0278819 | − | 0.0766050i | ||||
\(222\) | 0.0145233 | + | 1.85013i | 0.000974739 | + | 0.124173i | ||||
\(223\) | 17.4629 | − | 3.07919i | 1.16940 | − | 0.206198i | 0.444973 | − | 0.895544i | \(-0.353213\pi\) |
0.724432 | + | 0.689346i | \(0.242102\pi\) | |||||||
\(224\) | 6.75751 | − | 13.1924i | 0.451505 | − | 0.881456i | ||||
\(225\) | 24.8047 | + | 13.3288i | 1.65364 | + | 0.888587i | ||||
\(226\) | −1.34717 | + | 14.1867i | −0.0896127 | + | 0.943688i | ||||
\(227\) | −5.66395 | − | 2.06151i | −0.375929 | − | 0.136827i | 0.147143 | − | 0.989115i | \(-0.452992\pi\) |
−0.523073 | + | 0.852288i | \(0.675214\pi\) | |||||||
\(228\) | −0.205410 | + | 0.143964i | −0.0136036 | + | 0.00953427i | ||||
\(229\) | −13.4367 | − | 11.2747i | −0.887922 | − | 0.745055i | 0.0798705 | − | 0.996805i | \(-0.474549\pi\) |
−0.967792 | + | 0.251751i | \(0.918994\pi\) | |||||||
\(230\) | −2.17803 | − | 0.600934i | −0.143615 | − | 0.0396244i | ||||
\(231\) | −11.4091 | + | 11.7628i | −0.750666 | + | 0.773932i | ||||
\(232\) | −0.500580 | + | 0.682114i | −0.0328647 | + | 0.0447830i | ||||
\(233\) | −0.818415 | − | 0.472512i | −0.0536162 | − | 0.0309553i | 0.472952 | − | 0.881088i | \(-0.343188\pi\) |
−0.526568 | + | 0.850133i | \(0.676522\pi\) | |||||||
\(234\) | 3.13616 | − | 3.28457i | 0.205017 | − | 0.214719i | ||||
\(235\) | 0.838375 | − | 0.484036i | 0.0546896 | − | 0.0315750i | ||||
\(236\) | −21.4444 | − | 12.8083i | −1.39591 | − | 0.833750i | ||||
\(237\) | 13.6585 | − | 1.40528i | 0.887214 | − | 0.0912825i | ||||
\(238\) | −2.94456 | − | 2.98852i | −0.190867 | − | 0.193717i | ||||
\(239\) | −1.94169 | + | 11.0119i | −0.125598 | + | 0.712300i | 0.855353 | + | 0.518045i | \(0.173340\pi\) |
−0.980951 | + | 0.194255i | \(0.937771\pi\) | |||||||
\(240\) | −11.4470 | + | 23.6540i | −0.738898 | + | 1.52686i | ||||
\(241\) | −14.8130 | + | 12.4295i | −0.954187 | + | 0.800658i | −0.979998 | − | 0.199009i | \(-0.936228\pi\) |
0.0258110 | + | 0.999667i | \(0.491783\pi\) | |||||||
\(242\) | −1.19820 | − | 2.62006i | −0.0770233 | − | 0.168424i | ||||
\(243\) | 2.53835 | + | 15.3804i | 0.162835 | + | 0.986653i | ||||
\(244\) | 8.54392 | − | 9.88109i | 0.546968 | − | 0.632572i | ||||
\(245\) | −0.327298 | − | 0.390058i | −0.0209103 | − | 0.0249199i | ||||
\(246\) | −4.02480 | + | 23.9224i | −0.256612 | + | 1.52523i | ||||
\(247\) | 0.0763310 | + | 0.0134592i | 0.00485683 | + | 0.000856389i | ||||
\(248\) | 1.28437 | + | 19.7204i | 0.0815577 | + | 1.25225i | ||||
\(249\) | −0.694303 | − | 6.74823i | −0.0439997 | − | 0.427652i | ||||
\(250\) | 13.3521 | + | 19.3727i | 0.844462 | + | 1.22524i | ||||
\(251\) | 3.70756 | + | 6.42169i | 0.234019 | + | 0.405333i | 0.958987 | − | 0.283449i | \(-0.0914788\pi\) |
−0.724968 | + | 0.688783i | \(0.758145\pi\) | |||||||
\(252\) | 5.14450 | − | 14.8560i | 0.324073 | − | 0.935841i | ||||
\(253\) | −0.760445 | + | 1.31713i | −0.0478088 | + | 0.0828072i | ||||
\(254\) | −18.0166 | + | 1.44181i | −1.13046 | + | 0.0904674i | ||||
\(255\) | 5.33907 | + | 5.17857i | 0.334346 | + | 0.324294i | ||||
\(256\) | −14.6845 | − | 6.35344i | −0.917780 | − | 0.397090i | ||||
\(257\) | −14.5395 | + | 17.3275i | −0.906949 | + | 1.08086i | 0.0894438 | + | 0.995992i | \(0.471491\pi\) |
−0.996392 | + | 0.0848673i | \(0.972953\pi\) | |||||||
\(258\) | −4.13471 | − | 22.4186i | −0.257416 | − | 1.39572i | ||||
\(259\) | 0.676919 | − | 1.85982i | 0.0420617 | − | 0.115564i | ||||
\(260\) | 7.67059 | − | 2.66381i | 0.475710 | − | 0.165203i | ||||
\(261\) | −0.424781 | + | 0.790509i | −0.0262933 | + | 0.0489313i | ||||
\(262\) | 5.28903 | − | 7.43563i | 0.326757 | − | 0.459375i | ||||
\(263\) | 4.29886 | + | 24.3800i | 0.265079 | + | 1.50334i | 0.768810 | + | 0.639477i | \(0.220849\pi\) |
−0.503731 | + | 0.863860i | \(0.668040\pi\) | |||||||
\(264\) | 13.4708 | + | 11.4643i | 0.829071 | + | 0.705579i | ||||
\(265\) | −42.9961 | + | 15.6493i | −2.64123 | + | 0.961328i | ||||
\(266\) | 0.259689 | − | 0.0675250i | 0.0159225 | − | 0.00414022i | ||||
\(267\) | 0.298399 | − | 4.13686i | 0.0182617 | − | 0.253172i | ||||
\(268\) | 13.6166 | + | 0.201806i | 0.831768 | + | 0.0123273i | ||||
\(269\) | − | 11.8242i | − | 0.720932i | −0.932772 | − | 0.360466i | \(-0.882618\pi\) | ||
0.932772 | − | 0.360466i | \(-0.117382\pi\) | |||||||
\(270\) | −8.52117 | + | 26.5377i | −0.518582 | + | 1.61503i | ||||
\(271\) | − | 5.20136i | − | 0.315960i | −0.987442 | − | 0.157980i | \(-0.949502\pi\) | ||
0.987442 | − | 0.157980i | \(-0.0504982\pi\) | |||||||
\(272\) | −3.01255 | + | 3.38143i | −0.182663 | + | 0.205029i | ||||
\(273\) | −4.37097 | + | 2.12001i | −0.264543 | + | 0.128309i | ||||
\(274\) | −0.768414 | − | 2.95518i | −0.0464216 | − | 0.178529i | ||||
\(275\) | 31.8474 | − | 11.5915i | 1.92047 | − | 0.698994i | ||||
\(276\) | 0.126533 | − | 1.45364i | 0.00761637 | − | 0.0874989i | ||||
\(277\) | −1.28253 | − | 7.27359i | −0.0770598 | − | 0.437028i | −0.998789 | − | 0.0491944i | \(-0.984335\pi\) |
0.921729 | − | 0.387834i | \(-0.126776\pi\) | |||||||
\(278\) | 8.08271 | + | 5.74930i | 0.484769 | + | 0.344820i | ||||
\(279\) | 4.26803 | + | 20.5218i | 0.255520 | + | 1.22861i | ||||
\(280\) | 20.3138 | − | 19.4302i | 1.21398 | − | 1.16118i | ||||
\(281\) | 4.19816 | − | 11.5344i | 0.250441 | − | 0.688082i | −0.749226 | − | 0.662314i | \(-0.769575\pi\) |
0.999668 | − | 0.0257683i | \(-0.00820323\pi\) | |||||||
\(282\) | 0.405608 | + | 0.475750i | 0.0241536 | + | 0.0283305i | ||||
\(283\) | 7.15737 | − | 8.52982i | 0.425461 | − | 0.507045i | −0.510146 | − | 0.860088i | \(-0.670409\pi\) |
0.935607 | + | 0.353043i | \(0.114853\pi\) | |||||||
\(284\) | 25.0810 | − | 4.04018i | 1.48828 | − | 0.239741i | ||||
\(285\) | −0.457562 | + | 0.130118i | −0.0271036 | + | 0.00770753i | ||||
\(286\) | −0.436020 | − | 5.44842i | −0.0257824 | − | 0.322172i | ||||
\(287\) | 12.9749 | − | 22.4732i | 0.765883 | − | 1.32655i | ||||
\(288\) | −16.3633 | − | 4.49925i | −0.964215 | − | 0.265121i | ||||
\(289\) | −7.85908 | − | 13.6123i | −0.462299 | − | 0.800725i | ||||
\(290\) | −1.32117 | + | 0.910580i | −0.0775818 | + | 0.0534711i | ||||
\(291\) | 2.71059 | − | 1.96029i | 0.158898 | − | 0.114914i | ||||
\(292\) | 0.823213 | − | 2.16154i | 0.0481749 | − | 0.126495i | ||||
\(293\) | 22.9154 | + | 4.04060i | 1.33873 | + | 0.236055i | 0.796737 | − | 0.604327i | \(-0.206558\pi\) |
0.541995 | + | 0.840381i | \(0.317669\pi\) | |||||||
\(294\) | 0.209386 | − | 0.253552i | 0.0122117 | − | 0.0147875i | ||||
\(295\) | −30.4491 | − | 36.2878i | −1.77282 | − | 2.11276i | ||||
\(296\) | −2.05082 | − | 0.598677i | −0.119201 | − | 0.0347974i | ||||
\(297\) | 15.8451 | + | 10.0467i | 0.919427 | + | 0.582971i | ||||
\(298\) | 15.0027 | − | 6.86101i | 0.869084 | − | 0.397448i | ||||
\(299\) | −0.345389 | + | 0.289816i | −0.0199744 | + | 0.0167605i | ||||
\(300\) | −22.9816 | + | 23.0018i | −1.32684 | + | 1.32801i | ||||
\(301\) | −4.23458 | + | 24.0155i | −0.244077 | + | 1.38423i | ||||
\(302\) | 0.455718 | − | 0.449014i | 0.0262236 | − | 0.0258379i | ||||
\(303\) | 3.18459 | − | 7.11068i | 0.182950 | − | 0.408498i | ||||
\(304\) | −0.0909539 | − | 0.274990i | −0.00521656 | − | 0.0157718i | ||||
\(305\) | 21.4540 | − | 12.3865i | 1.22845 | − | 0.709249i | ||||
\(306\) | −2.66350 | + | 3.99738i | −0.152262 | + | 0.228515i | ||||
\(307\) | −12.7201 | − | 7.34397i | −0.725976 | − | 0.419142i | 0.0909723 | − | 0.995853i | \(-0.471003\pi\) |
−0.816948 | + | 0.576711i | \(0.804336\pi\) | |||||||
\(308\) | −9.21711 | − | 16.5253i | −0.525194 | − | 0.941617i | ||||
\(309\) | 10.6670 | + | 2.68445i | 0.606824 | + | 0.152713i | ||||
\(310\) | −9.96807 | + | 36.1284i | −0.566148 | + | 2.05195i | ||||
\(311\) | 1.78694 | + | 1.49942i | 0.101328 | + | 0.0850244i | 0.692044 | − | 0.721855i | \(-0.256710\pi\) |
−0.590716 | + | 0.806879i | \(0.701155\pi\) | |||||||
\(312\) | 2.59024 | + | 4.55952i | 0.146643 | + | 0.258132i | ||||
\(313\) | 6.61824 | + | 2.40884i | 0.374085 | + | 0.136156i | 0.522219 | − | 0.852811i | \(-0.325104\pi\) |
−0.148134 | + | 0.988967i | \(0.547327\pi\) | |||||||
\(314\) | −25.8919 | − | 2.45870i | −1.46116 | − | 0.138752i | ||||
\(315\) | 18.4591 | − | 23.4141i | 1.04005 | − | 1.31923i | ||||
\(316\) | −2.98422 | + | 15.5713i | −0.167876 | + | 0.875956i | ||||
\(317\) | −1.88259 | + | 0.331952i | −0.105737 | + | 0.0186443i | −0.226266 | − | 0.974065i | \(-0.572652\pi\) |
0.120529 | + | 0.992710i | \(0.461541\pi\) | |||||||
\(318\) | −14.9750 | − | 25.4735i | −0.839754 | − | 1.42848i | ||||
\(319\) | 0.369414 | + | 1.01496i | 0.0206832 | + | 0.0568266i | ||||
\(320\) | −22.3546 | − | 20.5182i | −1.24966 | − | 1.14700i | ||||
\(321\) | 9.62639 | − | 14.2044i | 0.537293 | − | 0.792812i | ||||
\(322\) | −0.670113 | + | 1.40969i | −0.0373439 | + | 0.0785592i | ||||
\(323\) | −0.0819820 | −0.00456160 | ||||||||
\(324\) | −17.8520 | − | 2.30333i | −0.991779 | − | 0.127963i | ||||
\(325\) | 10.0472 | 0.557318 | ||||||||
\(326\) | 13.7144 | − | 28.8506i | 0.759570 | − | 1.59788i | ||||
\(327\) | 7.72145 | − | 11.3935i | 0.426997 | − | 0.630063i | ||||
\(328\) | −25.1175 | − | 12.3995i | −1.38688 | − | 0.684647i | ||||
\(329\) | −0.228733 | − | 0.628439i | −0.0126105 | − | 0.0346469i | ||||
\(330\) | 17.0006 | + | 28.9193i | 0.935853 | + | 1.59195i | ||||
\(331\) | 5.64140 | − | 0.994732i | 0.310080 | − | 0.0546754i | −0.0164430 | − | 0.999865i | \(-0.505234\pi\) |
0.326523 | + | 0.945189i | \(0.394123\pi\) | |||||||
\(332\) | 7.69331 | + | 1.47441i | 0.422225 | + | 0.0809188i | ||||
\(333\) | −2.24255 | − | 0.325210i | −0.122891 | − | 0.0178214i | ||||
\(334\) | −6.48568 | − | 0.615880i | −0.354880 | − | 0.0336995i | ||||
\(335\) | 24.2688 | + | 8.83311i | 1.32595 | + | 0.482605i | ||||
\(336\) | 14.7194 | + | 10.6253i | 0.803007 | + | 0.579656i | ||||
\(337\) | 15.9033 | + | 13.3444i | 0.866306 | + | 0.726917i | 0.963317 | − | 0.268366i | \(-0.0864837\pi\) |
−0.0970109 | + | 0.995283i | \(0.530928\pi\) | |||||||
\(338\) | −4.45882 | + | 16.1606i | −0.242528 | + | 0.879020i | ||||
\(339\) | −16.9256 | − | 4.25948i | −0.919270 | − | 0.231343i | ||||
\(340\) | −7.50078 | + | 4.18361i | −0.406787 | + | 0.226888i | ||||
\(341\) | 21.8481 | + | 12.6140i | 1.18314 | + | 0.683085i | ||||
\(342\) | −0.136232 | − | 0.275353i | −0.00736658 | − | 0.0148894i | ||||
\(343\) | −16.1891 | + | 9.34678i | −0.874129 | + | 0.504679i | ||||
\(344\) | 26.1657 | + | 2.87654i | 1.41076 | + | 0.155093i | ||||
\(345\) | 1.13107 | − | 2.52549i | 0.0608946 | − | 0.135968i | ||||
\(346\) | 7.52434 | − | 7.41365i | 0.404511 | − | 0.398561i | ||||
\(347\) | 2.69361 | − | 15.2762i | 0.144601 | − | 0.820071i | −0.823086 | − | 0.567917i | \(-0.807750\pi\) |
0.967687 | − | 0.252155i | \(-0.0811393\pi\) | |||||||
\(348\) | −0.733054 | − | 0.732409i | −0.0392958 | − | 0.0392612i | ||||
\(349\) | −23.0588 | + | 19.3486i | −1.23431 | + | 1.03571i | −0.236360 | + | 0.971666i | \(0.575954\pi\) |
−0.997947 | + | 0.0640413i | \(0.979601\pi\) | |||||||
\(350\) | 31.6313 | − | 14.4655i | 1.69076 | − | 0.773215i | ||||
\(351\) | 3.39539 | + | 4.40536i | 0.181232 | + | 0.235141i | ||||
\(352\) | −17.1538 | + | 11.0877i | −0.914303 | + | 0.590975i | ||||
\(353\) | 7.20122 | + | 8.58208i | 0.383282 | + | 0.456778i | 0.922847 | − | 0.385166i | \(-0.125856\pi\) |
−0.539565 | + | 0.841944i | \(0.681411\pi\) | |||||||
\(354\) | 19.4796 | − | 23.5885i | 1.03533 | − | 1.25371i | ||||
\(355\) | 47.4464 | + | 8.36609i | 2.51820 | + | 0.444026i | ||||
\(356\) | 4.47565 | + | 1.70453i | 0.237209 | + | 0.0903398i | ||||
\(357\) | 4.16362 | − | 3.01111i | 0.220362 | − | 0.159365i | ||||
\(358\) | 11.8481 | − | 8.16597i | 0.626192 | − | 0.431585i | ||||
\(359\) | −9.95142 | − | 17.2364i | −0.525216 | − | 0.909701i | −0.999569 | − | 0.0293659i | \(-0.990651\pi\) |
0.474353 | − | 0.880335i | \(-0.342682\pi\) | |||||||
\(360\) | −26.5158 | − | 18.2409i | −1.39750 | − | 0.961378i | ||||
\(361\) | −9.49738 | + | 16.4499i | −0.499862 | + | 0.865786i | ||||
\(362\) | −1.89626 | − | 23.6953i | −0.0996651 | − | 1.24539i | ||||
\(363\) | 3.39398 | − | 0.965156i | 0.178138 | − | 0.0506575i | ||||
\(364\) | −0.892107 | − | 5.53810i | −0.0467591 | − | 0.290275i | ||||
\(365\) | 2.81960 | − | 3.36027i | 0.147585 | − | 0.175884i | ||||
\(366\) | 10.3795 | + | 12.1745i | 0.542546 | + | 0.636369i | ||||
\(367\) | −5.14389 | + | 14.1327i | −0.268509 | + | 0.737722i | 0.730016 | + | 0.683430i | \(0.239512\pi\) |
−0.998525 | + | 0.0542921i | \(0.982710\pi\) | |||||||
\(368\) | 1.56548 | + | 0.622924i | 0.0816065 | + | 0.0324722i | ||||
\(369\) | −28.2159 | − | 9.30496i | −1.46886 | − | 0.484397i | ||||
\(370\) | −3.30160 | − | 2.34845i | −0.171642 | − | 0.122090i | ||||
\(371\) | 5.48886 | + | 31.1289i | 0.284968 | + | 1.61613i | ||||
\(372\) | −24.1125 | − | 2.09888i | −1.25017 | − | 0.108822i | ||||
\(373\) | 25.1757 | − | 9.16321i | 1.30355 | − | 0.474453i | 0.405398 | − | 0.914140i | \(-0.367133\pi\) |
0.898151 | + | 0.439688i | \(0.144911\pi\) | |||||||
\(374\) | 1.45489 | + | 5.59524i | 0.0752306 | + | 0.289323i | ||||
\(375\) | −25.9275 | + | 12.5753i | −1.33889 | + | 0.649388i | ||||
\(376\) | −0.660885 | + | 0.290471i | −0.0340825 | + | 0.0149799i | ||||
\(377\) | 0.320198i | 0.0164910i | ||||||||
\(378\) | 17.0323 | + | 8.98071i | 0.876044 | + | 0.461918i | ||||
\(379\) | − | 17.1769i | − | 0.882321i | −0.897428 | − | 0.441160i | \(-0.854567\pi\) | ||
0.897428 | − | 0.441160i | \(-0.145433\pi\) | |||||||
\(380\) | 0.00813997 | − | 0.549234i | 0.000417572 | − | 0.0281751i | ||||
\(381\) | 1.59259 | − | 22.0789i | 0.0815909 | − | 1.13114i | ||||
\(382\) | 0.0945966 | − | 0.0245973i | 0.00483998 | − | 0.00125851i | ||||
\(383\) | −33.8259 | + | 12.3116i | −1.72842 | + | 0.629095i | −0.998516 | − | 0.0544509i | \(-0.982659\pi\) |
−0.729908 | + | 0.683546i | \(0.760437\pi\) | |||||||
\(384\) | 10.4125 | − | 16.6006i | 0.531362 | − | 0.847145i | ||||
\(385\) | −6.23134 | − | 35.3397i | −0.317579 | − | 1.80108i | ||||
\(386\) | −21.9228 | + | 30.8204i | −1.11584 | + | 1.56872i | ||||
\(387\) | 27.9071 | − | 0.851960i | 1.41860 | − | 0.0433075i | ||||
\(388\) | 1.26717 | + | 3.64888i | 0.0643308 | + | 0.185244i | ||||
\(389\) | −11.0897 | + | 30.4688i | −0.562271 | + | 1.54483i | 0.254027 | + | 0.967197i | \(0.418245\pi\) |
−0.816298 | + | 0.577631i | \(0.803977\pi\) | |||||||
\(390\) | 1.80374 | + | 9.77994i | 0.0913357 | + | 0.495227i | ||||
\(391\) | 0.306543 | − | 0.365323i | 0.0155025 | − | 0.0184752i | ||||
\(392\) | 0.210822 | + | 0.315800i | 0.0106481 | + | 0.0159503i | ||||
\(393\) | 8.02199 | + | 7.78083i | 0.404656 | + | 0.392491i | ||||
\(394\) | −6.31403 | + | 0.505292i | −0.318096 | + | 0.0254563i | ||||
\(395\) | −15.0340 | + | 26.0396i | −0.756441 | + | 1.31019i | ||||
\(396\) | −16.3751 | + | 14.1843i | −0.822880 | + | 0.712789i | ||||
\(397\) | −9.13398 | − | 15.8205i | −0.458421 | − | 0.794009i | 0.540456 | − | 0.841372i | \(-0.318252\pi\) |
−0.998878 | + | 0.0473630i | \(0.984918\pi\) | |||||||
\(398\) | −7.89123 | − | 11.4495i | −0.395552 | − | 0.573911i | ||||
\(399\) | 0.0336339 | + | 0.326903i | 0.00168380 | + | 0.0163656i | ||||
\(400\) | −17.8008 | − | 33.0572i | −0.890042 | − | 1.65286i | ||||
\(401\) | 18.1056 | + | 3.19251i | 0.904152 | + | 0.159426i | 0.606347 | − | 0.795200i | \(-0.292634\pi\) |
0.297805 | + | 0.954627i | \(0.403745\pi\) | |||||||
\(402\) | −2.76721 | + | 16.4476i | −0.138016 | + | 0.820330i | ||||
\(403\) | 4.80736 | + | 5.72919i | 0.239472 | + | 0.285391i | ||||
\(404\) | 6.80530 | + | 5.88436i | 0.338576 | + | 0.292758i | ||||
\(405\) | −30.5491 | − | 15.2331i | −1.51800 | − | 0.756937i | ||||
\(406\) | 0.461007 | + | 1.00807i | 0.0228794 | + | 0.0500296i | ||||
\(407\) | −2.08923 | + | 1.75307i | −0.103559 | + | 0.0868967i | ||||
\(408\) | −3.53556 | − | 4.27366i | −0.175036 | − | 0.211578i | ||||
\(409\) | −2.54225 | + | 14.4178i | −0.125706 | + | 0.712914i | 0.855180 | + | 0.518331i | \(0.173447\pi\) |
−0.980886 | + | 0.194583i | \(0.937665\pi\) | |||||||
\(410\) | −37.2840 | − | 37.8407i | −1.84133 | − | 1.86882i | ||||
\(411\) | 3.72005 | − | 0.382744i | 0.183497 | − | 0.0188794i | ||||
\(412\) | −6.51292 | + | 10.9043i | −0.320869 | + | 0.537215i | ||||
\(413\) | −28.3405 | + | 16.3624i | −1.39454 | + | 0.805140i | ||||
\(414\) | 1.73640 | + | 0.422517i | 0.0853396 | + | 0.0207656i | ||||
\(415\) | 12.8654 | + | 7.42781i | 0.631535 | + | 0.364617i | ||||
\(416\) | −5.90285 | + | 1.34947i | −0.289411 | + | 0.0661631i | ||||
\(417\) | −8.45795 | + | 8.72010i | −0.414188 | + | 0.427025i | ||||
\(418\) | −0.356432 | − | 0.0983420i | −0.0174336 | − | 0.00481006i | ||||
\(419\) | −5.75834 | − | 4.83182i | −0.281313 | − | 0.236050i | 0.491203 | − | 0.871045i | \(-0.336557\pi\) |
−0.772516 | + | 0.634996i | \(0.781002\pi\) | |||||||
\(420\) | 19.7594 | + | 28.1929i | 0.964160 | + | 1.37567i | ||||
\(421\) | −16.2535 | − | 5.91580i | −0.792149 | − | 0.288319i | −0.0859197 | − | 0.996302i | \(-0.527383\pi\) |
−0.706229 | + | 0.707984i | \(0.749605\pi\) | |||||||
\(422\) | −1.77306 | + | 18.6716i | −0.0863111 | + | 0.908920i | ||||
\(423\) | −0.651118 | + | 0.402902i | −0.0316584 | + | 0.0195898i | ||||
\(424\) | 33.1458 | − | 8.09624i | 1.60970 | − | 0.393188i | ||||
\(425\) | −10.4656 | + | 1.84537i | −0.507657 | + | 0.0895137i | ||||
\(426\) | 0.244231 | + | 31.1128i | 0.0118331 | + | 1.50742i | ||||
\(427\) | −5.85328 | − | 16.0818i | −0.283260 | − | 0.778251i | ||||
\(428\) | 12.5096 | + | 15.3651i | 0.604673 | + | 0.742701i | ||||
\(429\) | 6.67690 | + | 0.481617i | 0.322364 | + | 0.0232527i | ||||
\(430\) | 45.0865 | + | 21.4323i | 2.17427 | + | 1.03356i | ||||
\(431\) | 22.9632 | 1.10610 | 0.553050 | − | 0.833148i | \(-0.313464\pi\) | ||||
0.553050 | + | 0.833148i | \(0.313464\pi\) | |||||||
\(432\) | 8.47880 | − | 18.9766i | 0.407937 | − | 0.913010i | ||||
\(433\) | −2.94287 | −0.141425 | −0.0707126 | − | 0.997497i | \(-0.522527\pi\) | ||||
−0.0707126 | + | 0.997497i | \(0.522527\pi\) | |||||||
\(434\) | 23.3835 | + | 11.1156i | 1.12244 | + | 0.533565i | ||||
\(435\) | −0.857606 | − | 1.76819i | −0.0411190 | − | 0.0847781i | ||||
\(436\) | 10.0341 | + | 12.3246i | 0.480546 | + | 0.590239i | ||||
\(437\) | 0.0104318 | + | 0.0286610i | 0.000499019 | + | 0.00137104i | ||||
\(438\) | 2.46435 | + | 1.39711i | 0.117751 | + | 0.0667567i | ||||
\(439\) | −35.9702 | + | 6.34252i | −1.71676 | + | 0.302712i | −0.943500 | − | 0.331372i | \(-0.892489\pi\) |
−0.773264 | + | 0.634084i | \(0.781377\pi\) | |||||||
\(440\) | −37.6295 | + | 9.19142i | −1.79392 | + | 0.438184i | ||||
\(441\) | 0.268168 | + | 0.300472i | 0.0127699 | + | 0.0143082i | ||||
\(442\) | −0.162022 | + | 1.70621i | −0.00770660 | + | 0.0811562i | ||||
\(443\) | −25.7106 | − | 9.35788i | −1.22155 | − | 0.444606i | −0.350852 | − | 0.936431i | \(-0.614108\pi\) |
−0.870694 | + | 0.491825i | \(0.836330\pi\) | |||||||
\(444\) | 1.10476 | − | 2.37190i | 0.0524298 | − | 0.112565i | ||||
\(445\) | 6.95770 | + | 5.83820i | 0.329827 | + | 0.276757i | ||||
\(446\) | −24.1741 | − | 6.66979i | −1.14467 | − | 0.315824i | ||||
\(447\) | 5.52657 | + | 19.4342i | 0.261398 | + | 0.919208i | ||||
\(448\) | −16.6409 | + | 12.7472i | −0.786206 | + | 0.602247i | ||||
\(449\) | −10.4394 | − | 6.02718i | −0.492665 | − | 0.284440i | 0.233014 | − | 0.972473i | \(-0.425141\pi\) |
−0.725679 | + | 0.688033i | \(0.758474\pi\) | |||||||
\(450\) | −23.5891 | − | 32.0844i | −1.11200 | − | 1.51247i | ||||
\(451\) | −30.9679 | + | 17.8794i | −1.45822 | + | 0.841906i | ||||
\(452\) | 10.3342 | − | 17.3021i | 0.486080 | − | 0.813820i | ||||
\(453\) | 0.459163 | + | 0.634908i | 0.0215734 | + | 0.0298306i | ||||
\(454\) | 5.98262 | + | 6.07194i | 0.280778 | + | 0.284970i | ||||
\(455\) | 1.84730 | − | 10.4766i | 0.0866030 | − | 0.491150i | ||||
\(456\) | 0.349768 | − | 0.0591630i | 0.0163794 | − | 0.00277056i | ||||
\(457\) | 12.1847 | − | 10.2241i | 0.569974 | − | 0.478265i | −0.311663 | − | 0.950193i | \(-0.600886\pi\) |
0.881637 | + | 0.471927i | \(0.156442\pi\) | |||||||
\(458\) | 10.3165 | + | 22.5588i | 0.482059 | + | 1.05410i | ||||
\(459\) | −4.34593 | − | 3.96519i | −0.202851 | − | 0.185079i | ||||
\(460\) | 2.41703 | + | 2.08994i | 0.112695 | + | 0.0974440i | ||||
\(461\) | −9.40166 | − | 11.2045i | −0.437879 | − | 0.521844i | 0.501299 | − | 0.865274i | \(-0.332856\pi\) |
−0.939178 | + | 0.343430i | \(0.888411\pi\) | |||||||
\(462\) | 21.7141 | − | 8.09687i | 1.01023 | − | 0.376701i | ||||
\(463\) | 19.4128 | + | 3.42301i | 0.902191 | + | 0.159081i | 0.605456 | − | 0.795879i | \(-0.292991\pi\) |
0.296735 | + | 0.954960i | \(0.404102\pi\) | |||||||
\(464\) | 1.05351 | − | 0.567301i | 0.0489081 | − | 0.0263363i | ||||
\(465\) | −41.8919 | − | 18.7617i | −1.94269 | − | 0.870053i | ||||
\(466\) | 0.758433 | + | 1.10042i | 0.0351337 | + | 0.0509759i | ||||
\(467\) | −18.2329 | − | 31.5803i | −0.843718 | − | 1.46136i | −0.886730 | − | 0.462287i | \(-0.847029\pi\) |
0.0430124 | − | 0.999075i | \(-0.486304\pi\) | |||||||
\(468\) | −5.99990 | + | 2.29108i | −0.277345 | + | 0.105905i | ||||
\(469\) | 8.92075 | − | 15.4512i | 0.411922 | − | 0.713470i | ||||
\(470\) | −1.36470 | + | 0.109213i | −0.0629488 | + | 0.00503760i | ||||
\(471\) | 7.77387 | − | 30.8904i | 0.358201 | − | 1.42336i | ||||
\(472\) | 19.6132 | + | 29.3794i | 0.902769 | + | 1.35230i | ||||
\(473\) | 21.6001 | − | 25.7420i | 0.993175 | − | 1.18362i | ||||
\(474\) | −18.2985 | − | 6.49790i | −0.840478 | − | 0.298459i | ||||
\(475\) | 0.232460 | − | 0.638678i | 0.0106660 | − | 0.0293045i | ||||
\(476\) | 1.94644 | + | 5.60489i | 0.0892151 | + | 0.256900i | ||||
\(477\) | 33.6140 | − | 13.4097i | 1.53908 | − | 0.613987i | ||||
\(478\) | 9.16592 | − | 12.8860i | 0.419240 | − | 0.589392i | ||||
\(479\) | 1.10609 | + | 6.27294i | 0.0505384 | + | 0.286618i | 0.999594 | − | 0.0284909i | \(-0.00907016\pi\) |
−0.949056 | + | 0.315109i | \(0.897959\pi\) | |||||||
\(480\) | 28.9822 | − | 23.2620i | 1.32285 | − | 1.06176i | ||||
\(481\) | −0.759759 | + | 0.276530i | −0.0346420 | + | 0.0126087i | ||||
\(482\) | 26.4665 | − | 6.88189i | 1.20552 | − | 0.313462i | ||||
\(483\) | −1.58249 | − | 1.07246i | −0.0720057 | − | 0.0487986i | ||||
\(484\) | −0.0603785 | + | 4.07397i | −0.00274448 | + | 0.185180i | ||||
\(485\) | 7.32538i | 0.332628i | ||||||||
\(486\) | 6.09615 | − | 21.1858i | 0.276527 | − | 0.961006i | ||||
\(487\) | 31.5578i | 1.43002i | 0.699115 | + | 0.715009i | \(0.253577\pi\) | ||||
−0.699115 | + | 0.715009i | \(0.746423\pi\) | |||||||
\(488\) | −16.9120 | + | 7.43315i | −0.765572 | + | 0.336483i | ||||
\(489\) | 32.3869 | + | 21.9488i | 1.46459 | + | 0.992557i | ||||
\(490\) | 0.181216 | + | 0.696921i | 0.00818648 | + | 0.0314837i | ||||
\(491\) | 25.0585 | − | 9.12054i | 1.13087 | − | 0.411604i | 0.292264 | − | 0.956338i | \(-0.405591\pi\) |
0.838609 | + | 0.544734i | \(0.183369\pi\) | |||||||
\(492\) | 19.6652 | − | 28.1111i | 0.886576 | − | 1.26735i | ||||
\(493\) | −0.0588108 | − | 0.333533i | −0.00264871 | − | 0.0150216i | ||||
\(494\) | −0.0893219 | − | 0.0635354i | −0.00401878 | − | 0.00285859i | ||||
\(495\) | −38.1610 | + | 15.2236i | −1.71521 | + | 0.684250i | ||||
\(496\) | 10.3328 | − | 25.9677i | 0.463958 | − | 1.16598i | ||||
\(497\) | 11.3834 | − | 31.2757i | 0.510617 | − | 1.40291i | ||||
\(498\) | −3.21041 | + | 9.04072i | −0.143862 | + | 0.405124i | ||||
\(499\) | 14.4331 | − | 17.2006i | 0.646112 | − | 0.770007i | −0.339210 | − | 0.940711i | \(-0.610160\pi\) |
0.985322 | + | 0.170704i | \(0.0546042\pi\) | |||||||
\(500\) | −5.29175 | − | 32.8506i | −0.236654 | − | 1.46912i | ||||
\(501\) | 1.94728 | − | 7.73777i | 0.0869982 | − | 0.345698i | ||||
\(502\) | −0.836533 | − | 10.4532i | −0.0373363 | − | 0.466547i | ||||
\(503\) | −13.0818 | + | 22.6583i | −0.583287 | + | 1.01028i | 0.411799 | + | 0.911274i | \(0.364900\pi\) |
−0.995087 | + | 0.0990084i | \(0.968433\pi\) | |||||||
\(504\) | −15.5907 | + | 15.8513i | −0.694464 | + | 0.706075i | ||||
\(505\) | 8.53082 | + | 14.7758i | 0.379617 | + | 0.657515i | ||||
\(506\) | 1.77098 | − | 1.22060i | 0.0787295 | − | 0.0542621i | ||||
\(507\) | −18.7387 | − | 8.39230i | −0.832213 | − | 0.372715i | ||||
\(508\) | 23.8871 | + | 9.09728i | 1.05982 | + | 0.403627i | ||||
\(509\) | −28.8191 | − | 5.08158i | −1.27738 | − | 0.225237i | −0.506515 | − | 0.862231i | \(-0.669066\pi\) |
−0.770869 | + | 0.636994i | \(0.780178\pi\) | |||||||
\(510\) | −3.67514 | − | 9.85595i | −0.162738 | − | 0.436429i | ||||
\(511\) | −1.94785 | − | 2.32136i | −0.0861680 | − | 0.102691i | ||||
\(512\) | 14.8982 | + | 17.0306i | 0.658415 | + | 0.752655i | ||||
\(513\) | 0.358597 | − | 0.113912i | 0.0158325 | − | 0.00502932i | ||||
\(514\) | 29.0910 | − | 13.3038i | 1.28315 | − | 0.586806i | ||||
\(515\) | −18.4521 | + | 15.4831i | −0.813095 | + | 0.682268i | ||||
\(516\) | −8.33047 | + | 31.1445i | −0.366729 | + | 1.37106i | ||||
\(517\) | −0.160028 | + | 0.907563i | −0.00703801 | + | 0.0399146i | ||||
\(518\) | −1.99379 | + | 1.96446i | −0.0876020 | + | 0.0863133i | ||||
\(519\) | 7.58122 | + | 10.4829i | 0.332779 | + | 0.460150i | ||||
\(520\) | −11.4146 | − | 1.25487i | −0.500563 | − | 0.0550296i | ||||
\(521\) | −12.2522 | + | 7.07379i | −0.536777 | + | 0.309909i | −0.743772 | − | 0.668434i | \(-0.766965\pi\) |
0.206995 | + | 0.978342i | \(0.433632\pi\) | |||||||
\(522\) | 1.02251 | − | 0.751770i | 0.0447541 | − | 0.0329041i | ||||
\(523\) | −7.35440 | − | 4.24607i | −0.321586 | − | 0.185668i | 0.330513 | − | 0.943801i | \(-0.392778\pi\) |
−0.652099 | + | 0.758134i | \(0.726111\pi\) | |||||||
\(524\) | −11.2700 | + | 6.28591i | −0.492331 | + | 0.274601i | ||||
\(525\) | 11.6520 | + | 40.9745i | 0.508537 | + | 1.78828i | ||||
\(526\) | 9.31170 | − | 33.7494i | 0.406010 | − | 1.47155i | ||||
\(527\) | −6.05985 | − | 5.08482i | −0.263971 | − | 0.221498i | ||||
\(528\) | −10.2450 | − | 22.8216i | −0.445857 | − | 0.993183i | ||||
\(529\) | 21.4462 | + | 7.80578i | 0.932444 | + | 0.339382i | ||||
\(530\) | 64.4182 | + | 6.11716i | 2.79815 | + | 0.265712i | ||||
\(531\) | 24.9482 | + | 27.9534i | 1.08266 | + | 1.21308i | ||||
\(532\) | −0.372685 | − | 0.0714245i | −0.0161579 | − | 0.00309664i | ||||
\(533\) | −10.4398 | + | 1.84081i | −0.452196 | + | 0.0797343i | ||||
\(534\) | −2.89283 | + | 5.10262i | −0.125185 | + | 0.220812i | ||||
\(535\) | 12.8516 | + | 35.3096i | 0.555625 | + | 1.52657i | ||||
\(536\) | −17.2693 | − | 8.52513i | −0.745920 | − | 0.368230i | ||||
\(537\) | 7.69090 | + | 15.8569i | 0.331887 | + | 0.684275i | ||||
\(538\) | −7.17907 | + | 15.1024i | −0.309512 | + | 0.651110i | ||||
\(539\) | 0.484722 | 0.0208785 | ||||||||
\(540\) | 26.9961 | − | 28.7216i | 1.16173 | − | 1.23598i | ||||
\(541\) | −26.2456 | −1.12839 | −0.564194 | − | 0.825642i | \(-0.690813\pi\) | ||||
−0.564194 | + | 0.825642i | \(0.690813\pi\) | |||||||
\(542\) | −3.15802 | + | 6.64343i | −0.135649 | + | 0.285360i | ||||
\(543\) | 29.0380 | + | 2.09456i | 1.24614 | + | 0.0898861i | ||||
\(544\) | 5.90083 | − | 2.48985i | 0.252996 | − | 0.106751i | ||||
\(545\) | 10.3085 | + | 28.3223i | 0.441566 | + | 1.21319i | ||||
\(546\) | 6.86998 | − | 0.0539284i | 0.294008 | − | 0.00230792i | ||||
\(547\) | 29.4440 | − | 5.19178i | 1.25894 | − | 0.221984i | 0.495923 | − | 0.868367i | \(-0.334830\pi\) |
0.763014 | + | 0.646382i | \(0.223719\pi\) | |||||||
\(548\) | −0.812789 | + | 4.24104i | −0.0347206 | + | 0.181168i | ||||
\(549\) | −16.6621 | + | 10.3103i | −0.711122 | + | 0.440032i | ||||
\(550\) | −47.7149 | − | 4.53101i | −2.03457 | − | 0.193203i | ||||
\(551\) | 0.0203543 | + | 0.00740834i | 0.000867121 | + | 0.000315606i | ||||
\(552\) | −1.04420 | + | 1.77984i | −0.0444439 | + | 0.0757548i | ||||
\(553\) | 15.9121 | + | 13.3518i | 0.676650 | + | 0.567777i | ||||
\(554\) | −2.77807 | + | 10.0689i | −0.118029 | + | 0.427786i | ||||
\(555\) | 3.45487 | − | 3.56195i | 0.146651 | − | 0.151197i | ||||
\(556\) | −6.83293 | − | 12.2507i | −0.289781 | − | 0.519547i | ||||
\(557\) | 12.1389 | + | 7.00840i | 0.514342 | + | 0.296955i | 0.734617 | − | 0.678482i | \(-0.237362\pi\) |
−0.220275 | + | 0.975438i | \(0.570695\pi\) | |||||||
\(558\) | 7.00856 | − | 28.8028i | 0.296696 | − | 1.21932i | ||||
\(559\) | 8.62733 | − | 4.98099i | 0.364897 | − | 0.210673i | ||||
\(560\) | −37.7429 | + | 12.4836i | −1.59493 | + | 0.527528i | ||||
\(561\) | −7.04343 | + | 0.724675i | −0.297374 | + | 0.0305958i | ||||
\(562\) | −12.3652 | + | 12.1833i | −0.521595 | + | 0.513922i | ||||
\(563\) | 8.08075 | − | 45.8282i | 0.340563 | − | 1.93143i | −0.0226998 | − | 0.999742i | \(-0.507226\pi\) |
0.363263 | − | 0.931687i | \(-0.381663\pi\) | |||||||
\(564\) | −0.229209 | − | 0.853918i | −0.00965145 | − | 0.0359564i | ||||
\(565\) | 29.2783 | − | 24.5674i | 1.23175 | − | 1.03356i | ||||
\(566\) | −14.3206 | + | 6.54908i | −0.601942 | + | 0.275279i | ||||
\(567\) | −14.0282 | + | 18.9561i | −0.589130 | + | 0.796083i | ||||
\(568\) | −34.4877 | − | 10.0677i | −1.44707 | − | 0.422430i | ||||
\(569\) | −8.80061 | − | 10.4882i | −0.368941 | − | 0.439686i | 0.549350 | − | 0.835592i | \(-0.314875\pi\) |
−0.918291 | + | 0.395906i | \(0.870431\pi\) | |||||||
\(570\) | 0.663422 | + | 0.111617i | 0.0277877 | + | 0.00467512i | ||||
\(571\) | −41.0075 | − | 7.23074i | −1.71611 | − | 0.302597i | −0.772836 | − | 0.634606i | \(-0.781163\pi\) |
−0.943276 | + | 0.332009i | \(0.892274\pi\) | |||||||
\(572\) | −2.75112 | + | 7.22371i | −0.115030 | + | 0.302039i | ||||
\(573\) | 0.0122518 | + | 0.119081i | 0.000511827 | + | 0.00497467i | ||||
\(574\) | −30.2168 | + | 20.8261i | −1.26123 | + | 0.869264i | ||||
\(575\) | 1.97684 | + | 3.42398i | 0.0824398 | + | 0.142790i | ||||
\(576\) | 18.1682 | + | 15.6817i | 0.757010 | + | 0.653403i | ||||
\(577\) | 11.9468 | − | 20.6925i | 0.497352 | − | 0.861439i | −0.502643 | − | 0.864494i | \(-0.667639\pi\) |
0.999995 | + | 0.00305510i | \(0.000972470\pi\) | |||||||
\(578\) | 1.77323 | + | 22.1580i | 0.0737568 | + | 0.921651i | ||||
\(579\) | −33.2508 | − | 32.2512i | −1.38186 | − | 1.34032i | ||||
\(580\) | 2.24033 | − | 0.360884i | 0.0930245 | − | 0.0149849i | ||||
\(581\) | 6.59671 | − | 7.86166i | 0.273678 | − | 0.326157i | ||||
\(582\) | −4.65230 | + | 0.858033i | −0.192844 | + | 0.0355666i | ||||
\(583\) | 14.8975 | − | 40.9304i | 0.616990 | − | 1.69516i | ||||
\(584\) | −2.36384 | + | 2.26101i | −0.0978162 | + | 0.0935614i | ||||
\(585\) | −12.1743 | + | 0.371661i | −0.503344 | + | 0.0153663i | ||||
\(586\) | −26.8154 | − | 19.0740i | −1.10773 | − | 0.787940i | ||||
\(587\) | −2.47759 | − | 14.0511i | −0.102261 | − | 0.579952i | −0.992279 | − | 0.124026i | \(-0.960419\pi\) |
0.890018 | − | 0.455926i | \(-0.150692\pi\) | |||||||
\(588\) | −0.421384 | + | 0.196720i | −0.0173776 | + | 0.00811260i | ||||
\(589\) | 0.475418 | − | 0.173038i | 0.0195893 | − | 0.00712991i | ||||
\(590\) | 16.8588 | + | 64.8359i | 0.694067 | + | 2.66925i | ||||
\(591\) | 0.558133 | − | 7.73769i | 0.0229585 | − | 0.318286i | ||||
\(592\) | 2.25592 | + | 2.00982i | 0.0927176 | + | 0.0826031i | ||||
\(593\) | − | 15.2762i | − | 0.627320i | −0.949535 | − | 0.313660i | \(-0.898445\pi\) | ||
0.949535 | − | 0.313660i | \(-0.101555\pi\) | |||||||
\(594\) | −14.1383 | − | 22.4526i | −0.580100 | − | 0.921241i | ||||
\(595\) | 11.2522i | 0.461295i | ||||||||
\(596\) | −23.3279 | − | 0.345733i | −0.955548 | − | 0.0141618i | ||||
\(597\) | 15.3234 | − | 7.43215i | 0.627145 | − | 0.304178i | ||||
\(598\) | 0.617110 | − | 0.160463i | 0.0252355 | − | 0.00656182i | ||||
\(599\) | 14.3465 | − | 5.22168i | 0.586180 | − | 0.213352i | −0.0318684 | − | 0.999492i | \(-0.510146\pi\) |
0.618048 | + | 0.786140i | \(0.287924\pi\) | |||||||
\(600\) | 43.3188 | − | 15.4257i | 1.76848 | − | 0.629752i | ||||
\(601\) | 7.19286 | + | 40.7927i | 0.293403 | + | 1.66397i | 0.673623 | + | 0.739075i | \(0.264737\pi\) |
−0.380220 | + | 0.924896i | \(0.624152\pi\) | |||||||
\(602\) | 19.9897 | − | 28.1028i | 0.814720 | − | 1.14538i | ||||
\(603\) | −19.3995 | − | 6.39753i | −0.790010 | − | 0.260527i | ||||
\(604\) | −0.854686 | + | 0.296812i | −0.0347767 | + | 0.0120771i | ||||
\(605\) | −2.64278 | + | 7.26099i | −0.107444 | + | 0.295201i | ||||
\(606\) | −8.38479 | + | 7.14858i | −0.340609 | + | 0.290391i | ||||
\(607\) | 8.26489 | − | 9.84971i | 0.335461 | − | 0.399787i | −0.571774 | − | 0.820411i | \(-0.693744\pi\) |
0.907235 | + | 0.420624i | \(0.138189\pi\) | |||||||
\(608\) | −0.0507902 | + | 0.406453i | −0.00205982 | + | 0.0164839i | ||||
\(609\) | −1.30583 | + | 0.371343i | −0.0529150 | + | 0.0150476i | ||||
\(610\) | −34.9226 | + | 2.79475i | −1.41398 | + | 0.113156i | ||||
\(611\) | −0.136600 | + | 0.236599i | −0.00552626 | + | 0.00957177i | ||||
\(612\) | 5.82897 | − | 3.48850i | 0.235622 | − | 0.141014i | ||||
\(613\) | −15.8003 | − | 27.3670i | −0.638170 | − | 1.10534i | −0.985834 | − | 0.167723i | \(-0.946358\pi\) |
0.347664 | − | 0.937619i | \(-0.386975\pi\) | |||||||
\(614\) | 11.7879 | + | 17.1031i | 0.475719 | + | 0.690227i | ||||
\(615\) | 52.7198 | − | 38.1267i | 2.12587 | − | 1.53742i | ||||
\(616\) | 1.73915 | + | 26.7031i | 0.0700724 | + | 1.07590i | ||||
\(617\) | −32.9384 | − | 5.80793i | −1.32605 | − | 0.233819i | −0.534628 | − | 0.845088i | \(-0.679548\pi\) |
−0.791423 | + | 0.611269i | \(0.790659\pi\) | |||||||
\(618\) | −11.9945 | − | 9.90521i | −0.482491 | − | 0.398446i | ||||
\(619\) | 21.1853 | + | 25.2477i | 0.851511 | + | 1.01479i | 0.999666 | + | 0.0258272i | \(0.00822196\pi\) |
−0.148155 | + | 0.988964i | \(0.547334\pi\) | |||||||
\(620\) | 34.6672 | − | 40.0928i | 1.39227 | − | 1.61017i | ||||
\(621\) | −0.833242 | + | 2.02389i | −0.0334368 | + | 0.0812160i | ||||
\(622\) | −1.37199 | − | 3.00008i | −0.0550118 | − | 0.120292i | ||||
\(623\) | 4.80656 | − | 4.03319i | 0.192571 | − | 0.161586i | ||||
\(624\) | −0.540051 | − | 7.39631i | −0.0216193 | − | 0.296089i | ||||
\(625\) | 2.80815 | − | 15.9258i | 0.112326 | − | 0.637032i | ||||
\(626\) | −6.99061 | − | 7.09498i | −0.279401 | − | 0.283572i | ||||
\(627\) | 0.185097 | − | 0.413293i | 0.00739208 | − | 0.0165053i | ||||
\(628\) | 31.5776 | + | 18.8607i | 1.26008 | + | 0.752624i | ||||
\(629\) | 0.740610 | − | 0.427591i | 0.0295300 | − | 0.0170492i | ||||
\(630\) | −37.7928 | + | 18.6981i | −1.50570 | + | 0.744950i | ||||
\(631\) | 10.5759 | + | 6.10598i | 0.421018 | + | 0.243075i | 0.695513 | − | 0.718514i | \(-0.255177\pi\) |
−0.274495 | + | 0.961589i | \(0.588511\pi\) | |||||||
\(632\) | 13.2658 | − | 18.0766i | 0.527684 | − | 0.719048i | ||||
\(633\) | −22.2763 | − | 5.60603i | −0.885401 | − | 0.222820i | ||||
\(634\) | 2.60608 | + | 0.719037i | 0.103501 | + | 0.0285566i | ||||
\(635\) | 37.1341 | + | 31.1592i | 1.47362 | + | 1.23652i | ||||
\(636\) | 3.66044 | + | 41.6281i | 0.145146 | + | 1.65066i | ||||
\(637\) | 0.135032 | + | 0.0491475i | 0.00535015 | + | 0.00194729i | ||||
\(638\) | 0.144400 | − | 1.52064i | 0.00571686 | − | 0.0602028i | ||||
\(639\) | −37.7120 | − | 5.46891i | −1.49186 | − | 0.216347i | ||||
\(640\) | 16.0947 | + | 39.7795i | 0.636200 | + | 1.57242i | ||||
\(641\) | −2.91455 | + | 0.513915i | −0.115118 | + | 0.0202984i | −0.230910 | − | 0.972975i | \(-0.574170\pi\) |
0.115792 | + | 0.993273i | \(0.463059\pi\) | |||||||
\(642\) | −20.9195 | + | 12.2979i | −0.825629 | + | 0.485358i | ||||
\(643\) | 1.28689 | + | 3.53570i | 0.0507499 | + | 0.139434i | 0.962478 | − | 0.271360i | \(-0.0874735\pi\) |
−0.911728 | + | 0.410795i | \(0.865251\pi\) | |||||||
\(644\) | 1.71180 | − | 1.39367i | 0.0674544 | − | 0.0549183i | ||||
\(645\) | −34.3007 | + | 50.6130i | −1.35059 | + | 1.99288i | ||||
\(646\) | 0.104711 | + | 0.0497756i | 0.00411982 | + | 0.00195840i | ||||
\(647\) | 17.3248 | 0.681109 | 0.340555 | − | 0.940225i | \(-0.389385\pi\) | ||||
0.340555 | + | 0.940225i | \(0.389385\pi\) | |||||||
\(648\) | 21.4030 | + | 13.7808i | 0.840789 | + | 0.541362i | ||||
\(649\) | 45.0946 | 1.77012 | ||||||||
\(650\) | −12.8328 | − | 6.10019i | −0.503343 | − | 0.239269i | ||||
\(651\) | −17.7896 | + | 26.2497i | −0.697228 | + | 1.02881i | ||||
\(652\) | −35.0334 | + | 28.5226i | −1.37201 | + | 1.11703i | ||||
\(653\) | 7.83529 | + | 21.5273i | 0.306619 | + | 0.842428i | 0.993310 | + | 0.115479i | \(0.0368402\pi\) |
−0.686691 | + | 0.726949i | \(0.740938\pi\) | |||||||
\(654\) | −16.7798 | + | 9.86427i | −0.656143 | + | 0.385723i | ||||
\(655\) | −24.1010 | + | 4.24967i | −0.941706 | + | 0.166048i | ||||
\(656\) | 24.5530 | + | 31.0874i | 0.958632 | + | 1.21376i | ||||
\(657\) | −2.14801 | + | 2.72460i | −0.0838018 | + | 0.106297i | ||||
\(658\) | −0.0894096 | + | 0.941549i | −0.00348555 | + | 0.0367054i | ||||
\(659\) | 29.5497 | + | 10.7552i | 1.15109 | + | 0.418963i | 0.845907 | − | 0.533331i | \(-0.179060\pi\) |
0.305184 | + | 0.952293i | \(0.401282\pi\) | |||||||
\(660\) | −4.15559 | − | 47.2591i | −0.161756 | − | 1.83956i | ||||
\(661\) | −11.3401 | − | 9.51547i | −0.441079 | − | 0.370109i | 0.395034 | − | 0.918666i | \(-0.370733\pi\) |
−0.836113 | + | 0.548557i | \(0.815177\pi\) | |||||||
\(662\) | −7.80943 | − | 2.15468i | −0.303522 | − | 0.0837439i | ||||
\(663\) | −2.03560 | − | 0.512279i | −0.0790563 | − | 0.0198953i | ||||
\(664\) | −8.93108 | − | 6.55421i | −0.346593 | − | 0.254353i | ||||
\(665\) | −0.623232 | − | 0.359823i | −0.0241679 | − | 0.0139534i | ||||
\(666\) | 2.66685 | + | 1.77695i | 0.103338 | + | 0.0688553i | ||||
\(667\) | −0.109120 | + | 0.0630006i | −0.00422515 | + | 0.00243939i | ||||
\(668\) | 7.90989 | + | 4.72443i | 0.306043 | + | 0.182794i | ||||
\(669\) | 12.5537 | − | 28.0305i | 0.485356 | − | 1.08372i | ||||
\(670\) | −25.6342 | − | 26.0170i | −0.990336 | − | 1.00512i | ||||
\(671\) | −4.09511 | + | 23.2245i | −0.158090 | + | 0.896574i | ||||
\(672\) | −12.3491 | − | 22.5080i | −0.476378 | − | 0.868266i | ||||
\(673\) | −6.38737 | + | 5.35964i | −0.246215 | + | 0.206599i | −0.757540 | − | 0.652788i | \(-0.773599\pi\) |
0.511325 | + | 0.859387i | \(0.329155\pi\) | |||||||
\(674\) | −12.2103 | − | 26.6999i | −0.470324 | − | 1.02844i | ||||
\(675\) | 43.2136 | − | 22.6135i | 1.66329 | − | 0.870395i | ||||
\(676\) | 15.5070 | − | 17.9339i | 0.596422 | − | 0.689765i | ||||
\(677\) | −26.9751 | − | 32.1477i | −1.03674 | − | 1.23553i | −0.971345 | − | 0.237675i | \(-0.923615\pi\) |
−0.0653922 | − | 0.997860i | \(-0.520830\pi\) | |||||||
\(678\) | 19.0320 | + | 15.7168i | 0.730919 | + | 0.603601i | ||||
\(679\) | 4.98369 | + | 0.878759i | 0.191256 | + | 0.0337237i | ||||
\(680\) | 12.1205 | − | 0.789394i | 0.464798 | − | 0.0302719i | ||||
\(681\) | −8.45945 | + | 6.11784i | −0.324167 | + | 0.234436i | ||||
\(682\) | −20.2468 | − | 29.3763i | −0.775290 | − | 1.12488i | ||||
\(683\) | 8.40955 | + | 14.5658i | 0.321782 | + | 0.557344i | 0.980856 | − | 0.194735i | \(-0.0623847\pi\) |
−0.659073 | + | 0.752079i | \(0.729051\pi\) | |||||||
\(684\) | 0.00682051 | + | 0.434408i | 0.000260789 | + | 0.0166100i | ||||
\(685\) | −4.09468 | + | 7.09220i | −0.156450 | + | 0.270979i | ||||
\(686\) | 26.3524 | − | 2.10890i | 1.00614 | − | 0.0805184i | ||||
\(687\) | −29.2222 | + | 8.30999i | −1.11490 | + | 0.317046i | ||||
\(688\) | −31.6736 | − | 19.5607i | −1.20755 | − | 0.745743i | ||||
\(689\) | 8.30013 | − | 9.89171i | 0.316210 | − | 0.376844i | ||||
\(690\) | −2.97801 | + | 2.53895i | −0.113371 | + | 0.0966562i | ||||
\(691\) | −11.0161 | + | 30.2664i | −0.419071 | + | 1.15139i | 0.533161 | + | 0.846014i | \(0.321004\pi\) |
−0.952232 | + | 0.305374i | \(0.901218\pi\) | |||||||
\(692\) | −14.1117 | + | 4.90065i | −0.536446 | + | 0.186295i | ||||
\(693\) | 5.77928 | + | 27.7883i | 0.219537 | + | 1.05559i | ||||
\(694\) | −12.7154 | + | 17.8761i | −0.482671 | + | 0.678568i | ||||
\(695\) | −4.61949 | − | 26.1984i | −0.175227 | − | 0.993763i | ||||
\(696\) | 0.491608 | + | 1.38054i | 0.0186343 | + | 0.0523294i | ||||
\(697\) | 10.5364 | − | 3.83495i | 0.399096 | − | 0.145259i | ||||
\(698\) | 41.1993 | − | 10.7128i | 1.55942 | − | 0.405485i | ||||
\(699\) | −1.47274 | + | 0.714310i | −0.0557043 | + | 0.0270177i | ||||
\(700\) | −49.1838 | − | 0.728932i | −1.85897 | − | 0.0275510i | ||||
\(701\) | − | 22.5259i | − | 0.850790i | −0.905008 | − | 0.425395i | \(-0.860135\pi\) | ||
0.905008 | − | 0.425395i | \(-0.139865\pi\) | |||||||
\(702\) | −1.66203 | − | 7.68826i | −0.0627293 | − | 0.290175i | ||||
\(703\) | 0.0546942i | 0.00206283i | ||||||||
\(704\) | 28.6416 | − | 3.74670i | 1.07947 | − | 0.141209i | ||||
\(705\) | 0.120634 | − | 1.67241i | 0.00454332 | − | 0.0629864i | ||||
\(706\) | −3.98711 | − | 15.3337i | −0.150057 | − | 0.577091i | ||||
\(707\) | 11.0758 | − | 4.03127i | 0.416549 | − | 0.151611i | ||||
\(708\) | −39.2021 | + | 18.3012i | −1.47330 | + | 0.687803i | ||||
\(709\) | −1.33870 | − | 7.59217i | −0.0502761 | − | 0.285130i | 0.949296 | − | 0.314384i | \(-0.101798\pi\) |
−0.999572 | + | 0.0292540i | \(0.990687\pi\) | |||||||
\(710\) | −55.5214 | − | 39.4928i | −2.08368 | − | 1.48214i | ||||
\(711\) | 11.2570 | − | 20.9491i | 0.422172 | − | 0.785654i | ||||
\(712\) | −4.68161 | − | 4.89451i | −0.175451 | − | 0.183430i | ||||
\(713\) | −1.00658 | + | 2.76555i | −0.0376966 | + | 0.103571i | ||||
\(714\) | −7.14619 | + | 1.31799i | −0.267439 | + | 0.0493244i | ||||
\(715\) | −9.42288 | + | 11.2298i | −0.352396 | + | 0.419969i | ||||
\(716\) | −20.0910 | + | 3.23636i | −0.750835 | + | 0.120949i | ||||
\(717\) | 13.9022 | + | 13.4842i | 0.519186 | + | 0.503578i | ||||
\(718\) | 2.24533 | + | 28.0572i | 0.0837949 | + | 1.04708i | ||||
\(719\) | 9.44892 | − | 16.3660i | 0.352385 | − | 0.610349i | −0.634282 | − | 0.773102i | \(-0.718704\pi\) |
0.986667 | + | 0.162753i | \(0.0520374\pi\) | |||||||
\(720\) | 22.7923 | + | 39.3973i | 0.849417 | + | 1.46825i | ||||
\(721\) | 8.32013 | + | 14.4109i | 0.309858 | + | 0.536690i | ||||
\(722\) | 22.1182 | − | 15.2443i | 0.823152 | − | 0.567334i | ||||
\(723\) | 3.42784 | + | 33.3167i | 0.127483 | + | 1.23906i | ||||
\(724\) | −11.9647 | + | 31.4161i | −0.444663 | + | 1.16757i | ||||
\(725\) | 2.76513 | + | 0.487568i | 0.102695 | + | 0.0181078i | ||||
\(726\) | −4.92096 | − | 0.827923i | −0.182634 | − | 0.0307271i | ||||
\(727\) | −14.0555 | − | 16.7507i | −0.521289 | − | 0.621248i | 0.439596 | − | 0.898196i | \(-0.355122\pi\) |
−0.960885 | + | 0.276947i | \(0.910677\pi\) | |||||||
\(728\) | −2.22303 | + | 7.61517i | −0.0823910 | + | 0.282237i | ||||
\(729\) | 24.5190 | + | 11.3056i | 0.908113 | + | 0.418726i | ||||
\(730\) | −5.64153 | + | 2.57997i | −0.208802 | + | 0.0954890i | ||||
\(731\) | −8.07177 | + | 6.77302i | −0.298545 | + | 0.250509i | ||||
\(732\) | −5.86547 | − | 21.8518i | −0.216794 | − | 0.807665i | ||||
\(733\) | −3.02175 | + | 17.1372i | −0.111611 | + | 0.632977i | 0.876762 | + | 0.480925i | \(0.159699\pi\) |
−0.988373 | + | 0.152052i | \(0.951412\pi\) | |||||||
\(734\) | 15.1507 | − | 14.9279i | 0.559224 | − | 0.550998i | ||||
\(735\) | −0.877303 | + | 0.0902627i | −0.0323598 | + | 0.00332939i | ||||
\(736\) | −1.62130 | − | 1.74612i | −0.0597620 | − | 0.0643628i | ||||
\(737\) | −21.2917 | + | 12.2928i | −0.784289 | + | 0.452810i | ||||
\(738\) | 30.3891 | + | 29.0161i | 1.11864 | + | 1.06810i | ||||
\(739\) | −24.7291 | − | 14.2773i | −0.909674 | − | 0.525201i | −0.0293479 | − | 0.999569i | \(-0.509343\pi\) |
−0.880326 | + | 0.474369i | \(0.842676\pi\) | |||||||
\(740\) | 2.79109 | + | 5.00413i | 0.102603 | + | 0.183956i | ||||
\(741\) | 0.0934686 | − | 0.0963656i | 0.00343366 | − | 0.00354008i | ||||
\(742\) | 11.8894 | − | 43.0919i | 0.436472 | − | 1.58195i | ||||
\(743\) | −24.1483 | − | 20.2629i | −0.885917 | − | 0.743373i | 0.0814700 | − | 0.996676i | \(-0.474039\pi\) |
−0.967387 | + | 0.253303i | \(0.918483\pi\) | |||||||
\(744\) | 29.5233 | + | 17.3207i | 1.08238 | + | 0.635009i | ||||
\(745\) | −41.5771 | − | 15.1328i | −1.52327 | − | 0.554424i | ||||
\(746\) | −37.7191 | − | 3.58181i | −1.38099 | − | 0.131139i | ||||
\(747\) | −10.3503 | − | 5.56175i | −0.378698 | − | 0.203494i | ||||
\(748\) | 1.53891 | − | 8.02986i | 0.0562681 | − | 0.293601i | ||||
\(749\) | 25.5639 | − | 4.50761i | 0.934086 | − | 0.164705i | ||||
\(750\) | 40.7510 | − | 0.319890i | 1.48802 | − | 0.0116807i | ||||
\(751\) | −9.89995 | − | 27.1999i | −0.361254 | − | 0.992538i | −0.978587 | − | 0.205836i | \(-0.934009\pi\) |
0.617332 | − | 0.786703i | \(-0.288213\pi\) | |||||||
\(752\) | 1.02047 | + | 0.0302547i | 0.0372129 | + | 0.00110327i | ||||
\(753\) | 12.8101 | + | 0.924014i | 0.466826 | + | 0.0336729i | ||||
\(754\) | 0.194409 | − | 0.408972i | 0.00707996 | − | 0.0148939i | ||||
\(755\) | −1.71584 | −0.0624458 | ||||||||
\(756\) | −16.3018 | − | 21.8118i | −0.592889 | − | 0.793287i | ||||
\(757\) | 8.58739 | 0.312114 | 0.156057 | − | 0.987748i | \(-0.450122\pi\) | ||||
0.156057 | + | 0.987748i | \(0.450122\pi\) | |||||||
\(758\) | −10.4290 | + | 21.9392i | −0.378800 | + | 0.796869i | ||||
\(759\) | 1.14959 | + | 2.37018i | 0.0417273 | + | 0.0860322i | ||||
\(760\) | −0.343866 | + | 0.696567i | −0.0124733 | + | 0.0252671i | ||||
\(761\) | −4.64163 | − | 12.7528i | −0.168259 | − | 0.462287i | 0.826691 | − | 0.562655i | \(-0.190220\pi\) |
−0.994950 | + | 0.100368i | \(0.967998\pi\) | |||||||
\(762\) | −15.4394 | + | 27.2333i | −0.559311 | + | 0.986560i | ||||
\(763\) | 20.5052 | − | 3.61561i | 0.742336 | − | 0.130894i | ||||
\(764\) | −0.135758 | − | 0.0260178i | −0.00491154 | − | 0.000941289i | ||||
\(765\) | 12.6130 | − | 2.62319i | 0.456025 | − | 0.0948417i | ||||
\(766\) | 50.6792 | + | 4.81250i | 1.83111 | + | 0.173883i | ||||
\(767\) | 12.5622 | + | 4.57228i | 0.453596 | + | 0.165096i | ||||
\(768\) | −23.3785 | + | 14.8811i | −0.843598 | + | 0.536975i | ||||
\(769\) | −22.9731 | − | 19.2767i | −0.828432 | − | 0.695137i | 0.126499 | − | 0.991967i | \(-0.459626\pi\) |
−0.954930 | + | 0.296830i | \(0.904071\pi\) | |||||||
\(770\) | −13.4976 | + | 48.9210i | −0.486421 | + | 1.76299i | ||||
\(771\) | 10.7163 | + | 37.6839i | 0.385937 | + | 1.35715i | ||||
\(772\) | 46.7136 | − | 26.0548i | 1.68126 | − | 0.937734i | ||||
\(773\) | −4.59241 | − | 2.65143i | −0.165177 | − | 0.0953652i | 0.415132 | − | 0.909761i | \(-0.363735\pi\) |
−0.580310 | + | 0.814396i | \(0.697069\pi\) | |||||||
\(774\) | −36.1616 | − | 15.8557i | −1.29980 | − | 0.569923i | ||||
\(775\) | 56.7958 | − | 32.7911i | 2.04016 | − | 1.17789i | ||||
\(776\) | 0.596938 | − | 5.42990i | 0.0214288 | − | 0.194922i | ||||
\(777\) | −2.00886 | − | 2.77775i | −0.0720675 | − | 0.0996514i | ||||
\(778\) | 32.6635 | − | 32.1830i | 1.17104 | − | 1.15382i | ||||
\(779\) | −0.124526 | + | 0.706222i | −0.00446161 | + | 0.0253030i | ||||
\(780\) | 3.63410 | − | 13.5866i | 0.130122 | − | 0.486477i | ||||
\(781\) | −35.1337 | + | 29.4806i | −1.25718 | + | 1.05490i | ||||
\(782\) | −0.613339 | + | 0.280491i | −0.0219329 | + | 0.0100303i | ||||
\(783\) | 0.720678 | + | 1.37719i | 0.0257549 | + | 0.0492167i | ||||
\(784\) | −0.0775336 | − | 0.531356i | −0.00276906 | − | 0.0189770i | ||||
\(785\) | 44.8374 | + | 53.4351i | 1.60032 | + | 1.90718i | ||||
\(786\) | −5.52192 | − | 14.8086i | −0.196961 | − | 0.528206i | ||||
\(787\) | −21.5184 | − | 3.79428i | −0.767048 | − | 0.135251i | −0.223585 | − | 0.974684i | \(-0.571776\pi\) |
−0.543463 | + | 0.839433i | \(0.682887\pi\) | |||||||
\(788\) | 8.37138 | + | 3.18820i | 0.298218 | + | 0.113575i | ||||
\(789\) | 39.1335 | + | 17.5263i | 1.39319 | + | 0.623953i | ||||
\(790\) | 35.0121 | − | 24.1311i | 1.24568 | − | 0.858547i | ||||
\(791\) | −13.2017 | − | 22.8661i | −0.469400 | − | 0.813024i | ||||
\(792\) | 29.5272 | − | 8.17471i | 1.04920 | − | 0.290476i | ||||
\(793\) | −3.49561 | + | 6.05457i | −0.124133 | + | 0.215004i | ||||
\(794\) | 2.06089 | + | 25.7525i | 0.0731382 | + | 0.913921i | ||||
\(795\) | −19.3412 | + | 76.8545i | −0.685960 | + | 2.72575i | ||||
\(796\) | 3.12748 | + | 19.4150i | 0.110851 | + | 0.688147i | ||||
\(797\) | 1.65407 | − | 1.97124i | 0.0585902 | − | 0.0698251i | −0.735953 | − | 0.677032i | \(-0.763266\pi\) |
0.794544 | + | 0.607207i | \(0.207710\pi\) | |||||||
\(798\) | 0.155521 | − | 0.437957i | 0.00550539 | − | 0.0155035i | ||||
\(799\) | 0.0988332 | − | 0.271542i | 0.00349647 | − | 0.00960646i | ||||
\(800\) | 2.66529 | + | 53.0301i | 0.0942324 | + | 1.87490i | ||||
\(801\) | −5.64150 | − | 4.44762i | −0.199333 | − | 0.157149i | ||||
\(802\) | −21.1871 | − | 15.0705i | −0.748141 | − | 0.532159i | ||||
\(803\) | 0.725116 | + | 4.11234i | 0.0255888 | + | 0.145121i | ||||
\(804\) | 13.5206 | − | 19.3275i | 0.476835 | − | 0.681629i | ||||
\(805\) | 3.93378 | − | 1.43178i | 0.138648 | − | 0.0504636i | ||||
\(806\) | −2.66170 | − | 10.2364i | −0.0937544 | − | 0.360562i | ||||
\(807\) | −16.9536 | − | 11.4895i | −0.596793 | − | 0.404450i | ||||
\(808\) | −5.11936 | − | 11.6477i | −0.180098 | − | 0.409763i | ||||
\(809\) | − | 41.7773i | − | 1.46881i | −0.678710 | − | 0.734407i | \(-0.737461\pi\) | ||
0.678710 | − | 0.734407i | \(-0.262539\pi\) | |||||||
\(810\) | 29.7700 | + | 38.0044i | 1.04601 | + | 1.33534i | ||||
\(811\) | − | 49.5187i | − | 1.73884i | −0.494077 | − | 0.869418i | \(-0.664494\pi\) | ||
0.494077 | − | 0.869418i | \(-0.335506\pi\) | |||||||
\(812\) | 0.0232306 | − | 1.56746i | 0.000815234 | − | 0.0550069i | ||||
\(813\) | −7.45774 | − | 5.05415i | −0.261555 | − | 0.177257i | ||||
\(814\) | 3.73286 | − | 0.970629i | 0.130837 | − | 0.0340205i | ||||
\(815\) | −80.5081 | + | 29.3025i | −2.82007 | + | 1.02642i | ||||
\(816\) | 1.92103 | + | 7.60515i | 0.0672494 | + | 0.266234i | ||||
\(817\) | −0.117022 | − | 0.663664i | −0.00409408 | − | 0.0232187i | ||||
\(818\) | 12.0009 | − | 16.8716i | 0.419601 | − | 0.589901i | ||||
\(819\) | −1.20758 | + | 8.32713i | −0.0421964 | + | 0.290973i | ||||
\(820\) | 24.6459 | + | 70.9690i | 0.860671 | + | 2.47835i | ||||
\(821\) | 4.28022 | − | 11.7598i | 0.149381 | − | 0.410420i | −0.842322 | − | 0.538975i | \(-0.818812\pi\) |
0.991702 | + | 0.128555i | \(0.0410339\pi\) | |||||||
\(822\) | −4.98382 | − | 1.76978i | −0.173831 | − | 0.0617283i | ||||
\(823\) | 3.52799 | − | 4.20450i | 0.122978 | − | 0.146560i | −0.701042 | − | 0.713120i | \(-0.747282\pi\) |
0.824020 | + | 0.566560i | \(0.191726\pi\) | |||||||
\(824\) | 14.9392 | − | 9.97313i | 0.520431 | − | 0.347431i | ||||
\(825\) | 14.3261 | − | 56.9264i | 0.498770 | − | 1.98192i | ||||
\(826\) | 46.1323 | − | 3.69182i | 1.60515 | − | 0.128455i | ||||
\(827\) | −10.0525 | + | 17.4114i | −0.349559 | + | 0.605454i | −0.986171 | − | 0.165730i | \(-0.947002\pi\) |
0.636612 | + | 0.771184i | \(0.280335\pi\) | |||||||
\(828\) | −1.96129 | − | 1.59392i | −0.0681595 | − | 0.0553927i | ||||
\(829\) | 23.9459 | + | 41.4755i | 0.831675 | + | 1.44050i | 0.896709 | + | 0.442620i | \(0.145951\pi\) |
−0.0650348 | + | 0.997883i | \(0.520716\pi\) | |||||||
\(830\) | −11.9224 | − | 17.2984i | −0.413834 | − | 0.600436i | ||||
\(831\) | −11.6752 | − | 5.22884i | −0.405007 | − | 0.181386i | ||||
\(832\) | 8.35874 | + | 1.86033i | 0.289787 | + | 0.0644952i | ||||
\(833\) | −0.149682 | − | 0.0263930i | −0.00518618 | − | 0.000914463i | ||||
\(834\) | 16.0973 | − | 6.00246i | 0.557405 | − | 0.207848i | ||||
\(835\) | 11.2314 | + | 13.3850i | 0.388677 | + | 0.463207i | ||||
\(836\) | 0.395543 | + | 0.342016i | 0.0136802 | + | 0.0118289i | ||||
\(837\) | 33.5716 | + | 13.8215i | 1.16040 | + | 0.477741i | ||||
\(838\) | 4.42118 | + | 9.66763i | 0.152727 | + | 0.333963i | ||||
\(839\) | 34.1645 | − | 28.6674i | 1.17949 | − | 0.989708i | 0.179506 | − | 0.983757i | \(-0.442550\pi\) |
0.999982 | − | 0.00595149i | \(-0.00189443\pi\) | |||||||
\(840\) | −8.12024 | − | 48.0064i | −0.280175 | − | 1.65638i | ||||
\(841\) | 5.02026 | − | 28.4713i | 0.173112 | − | 0.981769i | ||||
\(842\) | 17.1680 | + | 17.4243i | 0.591649 | + | 0.600482i | ||||
\(843\) | −12.4587 | − | 17.2273i | −0.429100 | − | 0.593339i | ||||
\(844\) | 13.6012 | − | 22.7718i | 0.468171 | − | 0.783837i | ||||
\(845\) | 38.9385 | − | 22.4811i | 1.33952 | − | 0.773375i | ||||
\(846\) | 1.07626 | − | 0.119278i | 0.0370027 | − | 0.00410086i | ||||
\(847\) | 4.62285 | + | 2.66900i | 0.158843 | + | 0.0917081i | ||||
\(848\) | −47.2512 | − | 9.78369i | −1.62261 | − | 0.335973i | ||||
\(849\) | −5.27531 | − | 18.5507i | −0.181048 | − | 0.636658i | ||||
\(850\) | 14.4876 | + | 3.99724i | 0.496922 | + | 0.137104i | ||||
\(851\) | −0.243725 | − | 0.204510i | −0.00835479 | − | 0.00701050i | ||||
\(852\) | 18.5783 | − | 39.8871i | 0.636482 | − | 1.36651i | ||||
\(853\) | 4.65044 | + | 1.69262i | 0.159228 | + | 0.0579542i | 0.420404 | − | 0.907337i | \(-0.361888\pi\) |
−0.261176 | + | 0.965291i | \(0.584110\pi\) | |||||||
\(854\) | −2.28799 | + | 24.0942i | −0.0782935 | + | 0.824488i | ||||
\(855\) | −0.258048 | + | 0.782491i | −0.00882505 | + | 0.0267606i | ||||
\(856\) | −6.64887 | − | 27.2203i | −0.227254 | − | 0.930371i | ||||
\(857\) | −54.3261 | + | 9.57915i | −1.85574 | + | 0.327218i | −0.986060 | − | 0.166393i | \(-0.946788\pi\) |
−0.869683 | + | 0.493610i | \(0.835677\pi\) | |||||||
\(858\) | −8.23565 | − | 4.66905i | −0.281161 | − | 0.159399i | ||||
\(859\) | 16.3765 | + | 44.9941i | 0.558759 | + | 1.53518i | 0.821440 | + | 0.570295i | \(0.193171\pi\) |
−0.262681 | + | 0.964883i | \(0.584607\pi\) | |||||||
\(860\) | −44.5740 | − | 54.7489i | −1.51996 | − | 1.86692i | ||||
\(861\) | −19.6145 | − | 40.4406i | −0.668460 | − | 1.37821i | ||||
\(862\) | −29.3297 | − | 13.9422i | −0.998975 | − | 0.474873i | ||||
\(863\) | 29.9620 | 1.01992 | 0.509959 | − | 0.860199i | \(-0.329661\pi\) | ||||
0.509959 | + | 0.860199i | \(0.329661\pi\) | |||||||
\(864\) | −22.3512 | + | 19.0899i | −0.760404 | + | 0.649450i | ||||
\(865\) | −28.3302 | −0.963255 | ||||||||
\(866\) | 3.75878 | + | 1.78677i | 0.127728 | + | 0.0607170i | ||||
\(867\) | −27.1541 | − | 1.95867i | −0.922201 | − | 0.0665200i | ||||
\(868\) | −23.1177 | − | 28.3947i | −0.784666 | − | 0.963780i | ||||
\(869\) | −9.78977 | − | 26.8972i | −0.332095 | − | 0.912424i | ||||
\(870\) | 0.0218157 | + | 2.77911i | 0.000739620 | + | 0.0942208i | ||||
\(871\) | −7.17774 | + | 1.26563i | −0.243208 | + | 0.0428842i | ||||
\(872\) | −5.33314 | − | 21.8338i | −0.180603 | − | 0.739384i | ||||
\(873\) | −0.176798 | − | 5.79128i | −0.00598371 | − | 0.196005i | ||||
\(874\) | 0.00407768 | − | 0.0429409i | 0.000137929 | − | 0.00145250i | ||||
\(875\) | −40.9643 | − | 14.9098i | −1.38485 | − | 0.504043i | ||||
\(876\) | −2.29932 | − | 3.28070i | −0.0776868 | − | 0.110844i | ||||
\(877\) | −22.6770 | − | 19.0283i | −0.765749 | − | 0.642540i | 0.173867 | − | 0.984769i | \(-0.444374\pi\) |
−0.939617 | + | 0.342229i | \(0.888818\pi\) | |||||||
\(878\) | 49.7938 | + | 13.7385i | 1.68046 | + | 0.463650i | ||||
\(879\) | 28.0603 | − | 28.9300i | 0.946451 | − | 0.975785i | ||||
\(880\) | 53.6428 | + | 11.1071i | 1.80830 | + | 0.374421i | ||||
\(881\) | 41.2789 | + | 23.8324i | 1.39072 | + | 0.802934i | 0.993395 | − | 0.114743i | \(-0.0366045\pi\) |
0.397327 | + | 0.917677i | \(0.369938\pi\) | |||||||
\(882\) | −0.160085 | − | 0.546596i | −0.00539034 | − | 0.0184048i | ||||
\(883\) | −27.0065 | + | 15.5922i | −0.908842 | + | 0.524720i | −0.880059 | − | 0.474865i | \(-0.842497\pi\) |
−0.0287839 | + | 0.999586i | \(0.509163\pi\) | |||||||
\(884\) | 1.24287 | − | 2.08089i | 0.0418024 | − | 0.0699877i | ||||
\(885\) | −81.6171 | + | 8.39731i | −2.74353 | + | 0.282272i | ||||
\(886\) | 27.1571 | + | 27.5626i | 0.912362 | + | 0.925984i | ||||
\(887\) | −9.61775 | + | 54.5450i | −0.322932 | + | 1.83144i | 0.200891 | + | 0.979614i | \(0.435616\pi\) |
−0.523824 | + | 0.851827i | \(0.675495\pi\) | |||||||
\(888\) | −2.85116 | + | 2.35874i | −0.0956788 | + | 0.0791543i | ||||
\(889\) | 25.6532 | − | 21.5256i | 0.860382 | − | 0.721946i | ||||
\(890\) | −5.34203 | − | 11.6812i | −0.179065 | − | 0.391556i | ||||
\(891\) | 29.8018 | − | 12.9564i | 0.998396 | − | 0.434057i | ||||
\(892\) | 26.8267 | + | 23.1963i | 0.898225 | + | 0.776671i | ||||
\(893\) | 0.0118796 | + | 0.0141575i | 0.000397535 | + | 0.000473763i | ||||
\(894\) | 4.74076 | − | 28.1778i | 0.158555 | − | 0.942408i | ||||
\(895\) | −38.0067 | − | 6.70161i | −1.27042 | − | 0.224010i | ||||
\(896\) | 28.9940 | − | 6.17776i | 0.968621 | − | 0.206385i | ||||
\(897\) | 0.0799259 | + | 0.776835i | 0.00266865 | + | 0.0259378i | ||||
\(898\) | 9.67427 | + | 14.0365i | 0.322835 | + | 0.468405i | ||||
\(899\) | 1.04503 | + | 1.81005i | 0.0348537 | + | 0.0603684i | ||||
\(900\) | 10.6490 | + | 55.3020i | 0.354967 | + | 1.84340i | ||||
\(901\) | −6.82899 | + | 11.8282i | −0.227507 | + | 0.394053i | ||||
\(902\) | 50.4093 | − | 4.03410i | 1.67845 | − | 0.134321i | ||||
\(903\) | 30.3189 | + | 29.4074i | 1.00895 | + | 0.978618i | ||||
\(904\) | −23.7043 | + | 15.8246i | −0.788395 | + | 0.526318i | ||||
\(905\) | −40.9803 | + | 48.8384i | −1.36223 | + | 1.62344i | ||||
\(906\) | −0.200979 | − | 1.08972i | −0.00667708 | − | 0.0362035i | ||||
\(907\) | −7.14714 | + | 19.6366i | −0.237317 | + | 0.652022i | 0.762670 | + | 0.646788i | \(0.223888\pi\) |
−0.999986 | + | 0.00523411i | \(0.998334\pi\) | |||||||
\(908\) | −3.95469 | − | 11.3877i | −0.131241 | − | 0.377916i | ||||
\(909\) | −7.10088 | − | 11.4755i | −0.235521 | − | 0.380619i | ||||
\(910\) | −8.72036 | + | 12.2596i | −0.289077 | + | 0.406402i | ||||
\(911\) | −0.180967 | − | 1.02631i | −0.00599569 | − | 0.0340033i | 0.981663 | − | 0.190624i | \(-0.0610511\pi\) |
−0.987659 | + | 0.156621i | \(0.949940\pi\) | |||||||
\(912\) | −0.482662 | − | 0.136797i | −0.0159825 | − | 0.00452980i | ||||
\(913\) | −13.2891 | + | 4.83682i | −0.439804 | + | 0.160075i | ||||
\(914\) | −21.7705 | + | 5.66082i | −0.720103 | + | 0.187243i | ||||
\(915\) | 3.08701 | − | 42.7969i | 0.102054 | − | 1.41482i | ||||
\(916\) | 0.519859 | − | 35.0769i | 0.0171766 | − | 1.15897i | ||||
\(917\) | 16.9065i | 0.558302i | ||||||||
\(918\) | 3.14335 | + | 7.70319i | 0.103746 | + | 0.254243i | ||||
\(919\) | 18.6355i | 0.614729i | 0.951592 | + | 0.307365i | \(0.0994471\pi\) | ||||
−0.951592 | + | 0.307365i | \(0.900553\pi\) | |||||||
\(920\) | −1.81823 | − | 4.13688i | −0.0599454 | − | 0.136389i | ||||
\(921\) | −22.8900 | + | 11.1021i | −0.754250 | + | 0.365826i | ||||
\(922\) | 5.20544 | + | 20.0191i | 0.171432 | + | 0.659295i | ||||
\(923\) | −12.7765 | + | 4.65027i | −0.420544 | + | 0.153065i | ||||
\(924\) | −32.6504 | − | 2.84206i | −1.07412 | − | 0.0934970i | ||||
\(925\) | 1.23114 | + | 6.98213i | 0.0404796 | + | 0.229571i | ||||
\(926\) | −22.7167 | − | 16.1586i | −0.746518 | − | 0.531004i | ||||
\(927\) | 14.2141 | − | 12.6859i | 0.466852 | − | 0.416661i | ||||
\(928\) | −1.69004 | + | 0.0849413i | −0.0554782 | + | 0.00278833i | ||||
\(929\) | −14.3578 | + | 39.4478i | −0.471065 | + | 1.29424i | 0.445833 | + | 0.895116i | \(0.352908\pi\) |
−0.916897 | + | 0.399123i | \(0.869315\pi\) | |||||||
\(930\) | 42.1152 | + | 49.3982i | 1.38101 | + | 1.61983i | ||||
\(931\) | 0.00624839 | − | 0.00744654i | 0.000204783 | − | 0.000244051i | ||||
\(932\) | −0.300584 | − | 1.86599i | −0.00984597 | − | 0.0611227i | ||||
\(933\) | 3.88625 | − | 1.10514i | 0.127230 | − | 0.0361808i | ||||
\(934\) | 4.11387 | + | 51.4061i | 0.134610 | + | 1.68206i | ||||
\(935\) | 7.75274 | − | 13.4281i | 0.253542 | − | 0.439147i | ||||
\(936\) | 9.05440 | + | 0.716578i | 0.295952 | + | 0.0234221i | ||||
\(937\) | −2.35834 | − | 4.08476i | −0.0770435 | − | 0.133443i | 0.824930 | − | 0.565235i | \(-0.191215\pi\) |
−0.901973 | + | 0.431792i | \(0.857881\pi\) | |||||||
\(938\) | −20.7753 | + | 14.3188i | −0.678336 | + | 0.467524i | ||||
\(939\) | 9.88475 | − | 7.14861i | 0.322577 | − | 0.233286i | ||||
\(940\) | 1.80937 | + | 0.689089i | 0.0590151 | + | 0.0224756i | ||||
\(941\) | 22.7195 | + | 4.00605i | 0.740633 | + | 0.130594i | 0.531220 | − | 0.847234i | \(-0.321734\pi\) |
0.209413 | + | 0.977827i | \(0.432845\pi\) | |||||||
\(942\) | −28.6844 | + | 34.7348i | −0.934588 | + | 1.13172i | ||||
\(943\) | −2.68141 | − | 3.19557i | −0.0873186 | − | 0.104062i | ||||
\(944\) | −7.21310 | − | 49.4330i | −0.234766 | − | 1.60891i | ||||
\(945\) | −15.6346 | − | 49.2182i | −0.508593 | − | 1.60107i | ||||
\(946\) | −43.2181 | + | 19.7644i | −1.40514 | + | 0.642596i | ||||
\(947\) | −24.2924 | + | 20.3838i | −0.789397 | + | 0.662383i | −0.945596 | − | 0.325343i | \(-0.894520\pi\) |
0.156199 | + | 0.987726i | \(0.450076\pi\) | |||||||
\(948\) | 19.4265 | + | 19.4094i | 0.630944 | + | 0.630389i | ||||
\(949\) | −0.214963 | + | 1.21912i | −0.00697800 | + | 0.0395742i | ||||
\(950\) | −0.684684 | + | 0.674612i | −0.0222141 | + | 0.0218873i | ||||
\(951\) | −1.35336 | + | 3.02183i | −0.0438856 | + | 0.0979896i | ||||
\(952\) | 0.916930 | − | 8.34062i | 0.0297179 | − | 0.270321i | ||||
\(953\) | −38.9248 | + | 22.4732i | −1.26090 | + | 0.727980i | −0.973248 | − | 0.229756i | \(-0.926207\pi\) |
−0.287650 | + | 0.957736i | \(0.592874\pi\) | |||||||
\(954\) | −51.0752 | − | 3.28135i | −1.65362 | − | 0.106238i | ||||
\(955\) | −0.227025 | − | 0.131073i | −0.00734634 | − | 0.00424141i | ||||
\(956\) | −19.5310 | + | 10.8935i | −0.631676 | + | 0.352322i | ||||
\(957\) | 1.81421 | + | 0.456563i | 0.0586451 | + | 0.0147586i | ||||
\(958\) | 2.39588 | − | 8.68367i | 0.0774075 | − | 0.280557i | ||||
\(959\) | 4.33384 | + | 3.63653i | 0.139947 | + | 0.117430i | ||||
\(960\) | −51.1411 | + | 12.1147i | −1.65057 | + | 0.391000i | ||||
\(961\) | 16.7434 | + | 6.09410i | 0.540110 | + | 0.196584i | ||||
\(962\) | 1.13830 | + | 0.108093i | 0.0367002 | + | 0.00348505i | ||||
\(963\) | −11.0124 | − | 27.6048i | −0.354870 | − | 0.889552i | ||||
\(964\) | −37.9826 | − | 7.27931i | −1.22334 | − | 0.234451i | ||||
\(965\) | 99.8979 | − | 17.6147i | 3.21583 | − | 0.567037i | ||||
\(966\) | 1.37008 | + | 2.33061i | 0.0440817 | + | 0.0749862i | ||||
\(967\) | 10.8906 | + | 29.9216i | 0.350217 | + | 0.962215i | 0.982300 | + | 0.187314i | \(0.0599781\pi\) |
−0.632083 | + | 0.774901i | \(0.717800\pi\) | |||||||
\(968\) | 2.55064 | − | 5.16681i | 0.0819807 | − | 0.166068i | ||||
\(969\) | −0.0796618 | + | 0.117546i | −0.00255910 | + | 0.00377613i | ||||
\(970\) | 4.44763 | − | 9.35634i | 0.142805 | − | 0.300414i | ||||
\(971\) | −11.0287 | −0.353929 | −0.176964 | − | 0.984217i | \(-0.556628\pi\) | ||||
−0.176964 | + | 0.984217i | \(0.556628\pi\) | |||||||
\(972\) | −20.6493 | + | 23.3582i | −0.662327 | + | 0.749215i | ||||
\(973\) | −18.3778 | −0.589164 | ||||||||
\(974\) | 19.1604 | − | 40.3071i | 0.613938 | − | 1.29152i | ||||
\(975\) | 9.76284 | − | 14.4057i | 0.312661 | − | 0.461353i | ||||
\(976\) | 26.1140 | + | 0.774218i | 0.835887 | + | 0.0247821i | ||||
\(977\) | 2.46836 | + | 6.78175i | 0.0789697 | + | 0.216968i | 0.972894 | − | 0.231250i | \(-0.0742814\pi\) |
−0.893925 | + | 0.448217i | \(0.852059\pi\) | |||||||
\(978\) | −28.0399 | − | 47.6978i | −0.896616 | − | 1.52521i | ||||
\(979\) | −8.51492 | + | 1.50141i | −0.272138 | + | 0.0479853i | ||||
\(980\) | 0.191680 | − | 1.00017i | 0.00612301 | − | 0.0319492i | ||||
\(981\) | −8.83319 | − | 22.1421i | −0.282022 | − | 0.706944i | ||||
\(982\) | −37.5435 | − | 3.56513i | −1.19806 | − | 0.113768i | ||||
\(983\) | 16.9790 | + | 6.17984i | 0.541545 | + | 0.197106i | 0.598286 | − | 0.801283i | \(-0.295849\pi\) |
−0.0567408 | + | 0.998389i | \(0.518071\pi\) | |||||||
\(984\) | −42.1851 | + | 23.9651i | −1.34481 | + | 0.763980i | ||||
\(985\) | 13.0139 | + | 10.9199i | 0.414657 | + | 0.347938i | ||||
\(986\) | −0.127389 | + | 0.461712i | −0.00405691 | + | 0.0147039i | ||||
\(987\) | −1.12332 | − | 0.282694i | −0.0357556 | − | 0.00899825i | ||||
\(988\) | 0.0755106 | + | 0.135383i | 0.00240231 | + | 0.00430709i | ||||
\(989\) | 3.39494 | + | 1.96007i | 0.107953 | + | 0.0623266i | ||||
\(990\) | 57.9841 | + | 3.72522i | 1.84286 | + | 0.118395i | ||||
\(991\) | 14.8777 | − | 8.58966i | 0.472607 | − | 0.272860i | −0.244724 | − | 0.969593i | \(-0.578697\pi\) |
0.717330 | + | 0.696733i | \(0.245364\pi\) | |||||||
\(992\) | −28.9640 | + | 26.8936i | −0.919607 | + | 0.853871i | ||||
\(993\) | 4.05549 | − | 9.05526i | 0.128697 | − | 0.287360i | ||||
\(994\) | −33.5286 | + | 33.0354i | −1.06346 | + | 1.04782i | ||||
\(995\) | −6.47614 | + | 36.7280i | −0.205307 | + | 1.16436i | ||||
\(996\) | 9.58960 | − | 9.59804i | 0.303858 | − | 0.304126i | ||||
\(997\) | 37.0763 | − | 31.1107i | 1.17422 | − | 0.985286i | 0.174219 | − | 0.984707i | \(-0.444260\pi\) |
1.00000 | 0.000579452i | \(-0.000184445\pi\) | ||||||||
\(998\) | −28.8780 | + | 13.2064i | −0.914118 | + | 0.418042i | ||||
\(999\) | −2.64537 | + | 2.89938i | −0.0836959 | + | 0.0917324i |
(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 | 108.2.l.a.59.3 | yes | 96 | |
3.2 | odd | 2 | 324.2.l.a.287.14 | 96 | |||
4.3 | odd | 2 | inner | 108.2.l.a.59.8 | yes | 96 | |
9.2 | odd | 6 | 972.2.l.b.539.7 | 96 | |||
9.4 | even | 3 | 972.2.l.d.215.13 | 96 | |||
9.5 | odd | 6 | 972.2.l.a.215.4 | 96 | |||
9.7 | even | 3 | 972.2.l.c.539.10 | 96 | |||
12.11 | even | 2 | 324.2.l.a.287.9 | 96 | |||
27.2 | odd | 18 | 972.2.l.c.431.4 | 96 | |||
27.7 | even | 9 | 972.2.l.a.755.2 | 96 | |||
27.11 | odd | 18 | inner | 108.2.l.a.11.8 | yes | 96 | |
27.16 | even | 9 | 324.2.l.a.35.9 | 96 | |||
27.20 | odd | 18 | 972.2.l.d.755.15 | 96 | |||
27.25 | even | 9 | 972.2.l.b.431.13 | 96 | |||
36.7 | odd | 6 | 972.2.l.c.539.4 | 96 | |||
36.11 | even | 6 | 972.2.l.b.539.13 | 96 | |||
36.23 | even | 6 | 972.2.l.a.215.2 | 96 | |||
36.31 | odd | 6 | 972.2.l.d.215.15 | 96 | |||
108.7 | odd | 18 | 972.2.l.a.755.4 | 96 | |||
108.11 | even | 18 | inner | 108.2.l.a.11.3 | ✓ | 96 | |
108.43 | odd | 18 | 324.2.l.a.35.14 | 96 | |||
108.47 | even | 18 | 972.2.l.d.755.13 | 96 | |||
108.79 | odd | 18 | 972.2.l.b.431.7 | 96 | |||
108.83 | even | 18 | 972.2.l.c.431.10 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.2.l.a.11.3 | ✓ | 96 | 108.11 | even | 18 | inner | |
108.2.l.a.11.8 | yes | 96 | 27.11 | odd | 18 | inner | |
108.2.l.a.59.3 | yes | 96 | 1.1 | even | 1 | trivial | |
108.2.l.a.59.8 | yes | 96 | 4.3 | odd | 2 | inner | |
324.2.l.a.35.9 | 96 | 27.16 | even | 9 | |||
324.2.l.a.35.14 | 96 | 108.43 | odd | 18 | |||
324.2.l.a.287.9 | 96 | 12.11 | even | 2 | |||
324.2.l.a.287.14 | 96 | 3.2 | odd | 2 | |||
972.2.l.a.215.2 | 96 | 36.23 | even | 6 | |||
972.2.l.a.215.4 | 96 | 9.5 | odd | 6 | |||
972.2.l.a.755.2 | 96 | 27.7 | even | 9 | |||
972.2.l.a.755.4 | 96 | 108.7 | odd | 18 | |||
972.2.l.b.431.7 | 96 | 108.79 | odd | 18 | |||
972.2.l.b.431.13 | 96 | 27.25 | even | 9 | |||
972.2.l.b.539.7 | 96 | 9.2 | odd | 6 | |||
972.2.l.b.539.13 | 96 | 36.11 | even | 6 | |||
972.2.l.c.431.4 | 96 | 27.2 | odd | 18 | |||
972.2.l.c.431.10 | 96 | 108.83 | even | 18 | |||
972.2.l.c.539.4 | 96 | 36.7 | odd | 6 | |||
972.2.l.c.539.10 | 96 | 9.7 | even | 3 | |||
972.2.l.d.215.13 | 96 | 9.4 | even | 3 | |||
972.2.l.d.215.15 | 96 | 36.31 | odd | 6 | |||
972.2.l.d.755.13 | 96 | 108.47 | even | 18 | |||
972.2.l.d.755.15 | 96 | 27.20 | odd | 18 |