Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 130.40 | ||
Character | \(\chi\) | \(=\) | 441.130 |
Dual form | 441.2.z.a.268.40 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{2}{21}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.19380 | − | 0.813921i | 0.844146 | − | 0.575529i | −0.0622007 | − | 0.998064i | \(-0.519812\pi\) |
0.906347 | + | 0.422535i | \(0.138859\pi\) | |||||||
\(3\) | 1.71916 | + | 0.210914i | 0.992558 | + | 0.121771i | ||||
\(4\) | 0.0320159 | − | 0.0815752i | 0.0160080 | − | 0.0407876i | ||||
\(5\) | −0.000507118 | − | 0.00222183i | −0.000226790 | − | 0.000993632i | 0.974814 | − | 0.223018i | \(-0.0715908\pi\) |
−0.975041 | + | 0.222024i | \(0.928734\pi\) | |||||||
\(6\) | 2.22401 | − | 1.14747i | 0.907947 | − | 0.468453i | ||||
\(7\) | 0.314524 | + | 2.62699i | 0.118879 | + | 0.992909i | ||||
\(8\) | 0.614850 | + | 2.69383i | 0.217382 | + | 0.952414i | ||||
\(9\) | 2.91103 | + | 0.725191i | 0.970343 | + | 0.241730i | ||||
\(10\) | −0.00241379 | − | 0.00223967i | −0.000763308 | − | 0.000708246i | ||||
\(11\) | −2.93257 | − | 1.41225i | −0.884203 | − | 0.425810i | −0.0640452 | − | 0.997947i | \(-0.520400\pi\) |
−0.820158 | + | 0.572137i | \(0.806114\pi\) | |||||||
\(12\) | 0.0722459 | − | 0.133488i | 0.0208556 | − | 0.0385348i | ||||
\(13\) | 1.97136 | − | 1.34405i | 0.546758 | − | 0.372773i | −0.258213 | − | 0.966088i | \(-0.583134\pi\) |
0.804970 | + | 0.593315i | \(0.202181\pi\) | |||||||
\(14\) | 2.51364 | + | 2.88011i | 0.671799 | + | 0.769742i | ||||
\(15\) | −0.000403202 | − | 0.00392664i | −0.000104106 | − | 0.00101385i | ||||
\(16\) | 3.05506 | + | 2.83468i | 0.763764 | + | 0.708670i | ||||
\(17\) | 0.0598202 | + | 0.152419i | 0.0145085 | + | 0.0369672i | 0.937944 | − | 0.346785i | \(-0.112727\pi\) |
−0.923436 | + | 0.383753i | \(0.874632\pi\) | |||||||
\(18\) | 4.06544 | − | 1.50361i | 0.958235 | − | 0.354405i | ||||
\(19\) | −1.97578 | − | 3.42215i | −0.453275 | − | 0.785095i | 0.545313 | − | 0.838233i | \(-0.316411\pi\) |
−0.998587 | + | 0.0531381i | \(0.983078\pi\) | |||||||
\(20\) | −0.000197482 | 0 | 2.97656e-5i | −4.41583e−5 | 0 | 6.65579e-6i | ||||
\(21\) | −0.0133511 | + | 4.58256i | −0.00291345 | + | 0.999996i | ||||
\(22\) | −4.65037 | + | 0.700931i | −0.991463 | + | 0.149439i | ||||
\(23\) | −4.65452 | − | 5.83659i | −0.970535 | − | 1.21701i | −0.976165 | − | 0.217029i | \(-0.930364\pi\) |
0.00562997 | − | 0.999984i | \(-0.498208\pi\) | |||||||
\(24\) | 0.488858 | + | 4.76082i | 0.0997878 | + | 0.971797i | ||||
\(25\) | 4.50484 | − | 2.16942i | 0.900968 | − | 0.433883i | ||||
\(26\) | 1.25947 | − | 3.20907i | 0.247002 | − | 0.629350i | ||||
\(27\) | 4.85158 | + | 1.86070i | 0.933687 | + | 0.358091i | ||||
\(28\) | 0.224367 | + | 0.0584481i | 0.0424014 | + | 0.0110456i | ||||
\(29\) | −3.91333 | − | 0.589839i | −0.726687 | − | 0.109530i | −0.224727 | − | 0.974422i | \(-0.572149\pi\) |
−0.501959 | + | 0.864891i | \(0.667387\pi\) | |||||||
\(30\) | −0.00367732 | − | 0.00435946i | −0.000671383 | − | 0.000795924i | ||||
\(31\) | −2.86923 | − | 4.96966i | −0.515330 | − | 0.892577i | −0.999842 | − | 0.0177927i | \(-0.994336\pi\) |
0.484512 | − | 0.874785i | \(-0.338997\pi\) | |||||||
\(32\) | 0.489842 | + | 0.0738318i | 0.0865927 | + | 0.0130517i | ||||
\(33\) | −4.74370 | − | 3.04641i | −0.825772 | − | 0.530312i | ||||
\(34\) | 0.195471 | + | 0.133270i | 0.0335230 | + | 0.0228556i | ||||
\(35\) | 0.00567722 | − | 0.00203101i | 0.000959625 | − | 0.000343304i | ||||
\(36\) | 0.152357 | − | 0.214250i | 0.0253928 | − | 0.0357084i | ||||
\(37\) | 5.85601 | + | 0.882652i | 0.962723 | + | 0.145107i | 0.611552 | − | 0.791204i | \(-0.290546\pi\) |
0.351171 | + | 0.936311i | \(0.385784\pi\) | |||||||
\(38\) | −5.14405 | − | 2.47724i | −0.834475 | − | 0.401862i | ||||
\(39\) | 3.67257 | − | 1.89485i | 0.588082 | − | 0.303419i | ||||
\(40\) | 0.00567343 | − | 0.00273218i | 0.000897049 | − | 0.000431996i | ||||
\(41\) | 2.43244 | + | 0.750308i | 0.379883 | + | 0.117178i | 0.478815 | − | 0.877916i | \(-0.341066\pi\) |
−0.0989320 | + | 0.995094i | \(0.531543\pi\) | |||||||
\(42\) | 3.71390 | + | 5.48154i | 0.573067 | + | 0.845819i | ||||
\(43\) | −2.71093 | + | 0.836211i | −0.413413 | + | 0.127521i | −0.494483 | − | 0.869187i | \(-0.664642\pi\) |
0.0810700 | + | 0.996708i | \(0.474166\pi\) | |||||||
\(44\) | −0.209094 | + | 0.194011i | −0.0315220 | + | 0.0292482i | ||||
\(45\) | 0.000135015 | − | 0.00683557i | 2.01268e−5 | − | 0.00101899i | ||||
\(46\) | −10.3071 | − | 3.17932i | −1.51970 | − | 0.468765i | ||||
\(47\) | 0.462999 | − | 0.315667i | 0.0675353 | − | 0.0460448i | −0.529082 | − | 0.848571i | \(-0.677464\pi\) |
0.596617 | + | 0.802526i | \(0.296511\pi\) | |||||||
\(48\) | 4.65426 | + | 5.51762i | 0.671785 | + | 0.796400i | ||||
\(49\) | −6.80215 | + | 1.65251i | −0.971736 | + | 0.236072i | ||||
\(50\) | 3.61216 | − | 6.25644i | 0.510836 | − | 0.884794i | ||||
\(51\) | 0.0706932 | + | 0.274651i | 0.00989903 | + | 0.0384588i | ||||
\(52\) | −0.0465264 | − | 0.203845i | −0.00645205 | − | 0.0282683i | ||||
\(53\) | −8.34764 | + | 1.25820i | −1.14664 | + | 0.172828i | −0.694753 | − | 0.719249i | \(-0.744486\pi\) |
−0.451884 | + | 0.892076i | \(0.649248\pi\) | |||||||
\(54\) | 7.30629 | − | 1.72749i | 0.994260 | − | 0.235082i | ||||
\(55\) | −0.00165062 | + | 0.00723184i | −0.000222570 | + | 0.000975141i | ||||
\(56\) | −6.88329 | + | 2.46248i | −0.919818 | + | 0.329063i | ||||
\(57\) | −2.67490 | − | 6.29994i | −0.354299 | − | 0.834448i | ||||
\(58\) | −5.15182 | + | 2.48099i | −0.676468 | + | 0.325770i | ||||
\(59\) | 4.53031 | − | 1.39742i | 0.589797 | − | 0.181928i | 0.0145304 | − | 0.999894i | \(-0.495375\pi\) |
0.575266 | + | 0.817966i | \(0.304898\pi\) | |||||||
\(60\) | −0.000333225 | 0 | 9.28236e-5i | −4.30192e−5 | 0 | 1.19835e-5i | ||||
\(61\) | 5.47970 | + | 13.9620i | 0.701604 | + | 1.78766i | 0.610795 | + | 0.791788i | \(0.290850\pi\) |
0.0908082 | + | 0.995868i | \(0.471055\pi\) | |||||||
\(62\) | −7.47021 | − | 3.59746i | −0.948718 | − | 0.456878i | ||||
\(63\) | −0.989479 | + | 7.87534i | −0.124663 | + | 0.992199i | ||||
\(64\) | −6.86486 | + | 3.30594i | −0.858108 | + | 0.413243i | ||||
\(65\) | −0.00398596 | − | 0.00369843i | −0.000494398 | − | 0.000458734i | ||||
\(66\) | −8.14257 | + | 0.224184i | −1.00228 | + | 0.0275951i | ||||
\(67\) | −2.35445 | − | 4.07802i | −0.287641 | − | 0.498209i | 0.685605 | − | 0.727974i | \(-0.259538\pi\) |
−0.973246 | + | 0.229764i | \(0.926204\pi\) | |||||||
\(68\) | 0.0143489 | 0.00174005 | ||||||||
\(69\) | −6.77086 | − | 11.0157i | −0.815115 | − | 1.32614i | ||||
\(70\) | 0.00512440 | − | 0.00704544i | 0.000612482 | − | 0.000842091i | ||||
\(71\) | −4.98539 | − | 6.25148i | −0.591657 | − | 0.741914i | 0.392395 | − | 0.919797i | \(-0.371647\pi\) |
−0.984052 | + | 0.177883i | \(0.943075\pi\) | |||||||
\(72\) | −0.163697 | + | 8.28772i | −0.0192919 | + | 0.976717i | ||||
\(73\) | −0.543147 | + | 7.24779i | −0.0635705 | + | 0.848290i | 0.870720 | + | 0.491778i | \(0.163653\pi\) |
−0.934291 | + | 0.356511i | \(0.883966\pi\) | |||||||
\(74\) | 7.70934 | − | 3.71262i | 0.896192 | − | 0.431583i | ||||
\(75\) | 8.20211 | − | 2.77944i | 0.947098 | − | 0.320942i | ||||
\(76\) | −0.342419 | + | 0.0516113i | −0.0392781 | + | 0.00592023i | ||||
\(77\) | 2.78760 | − | 8.14802i | 0.317677 | − | 0.928553i | ||||
\(78\) | 2.84206 | − | 5.25126i | 0.321800 | − | 0.594588i | ||||
\(79\) | 6.21598 | − | 10.7664i | 0.699353 | − | 1.21131i | −0.269338 | − | 0.963046i | \(-0.586805\pi\) |
0.968691 | − | 0.248269i | \(-0.0798617\pi\) | |||||||
\(80\) | 0.00474889 | − | 0.00822533i | 0.000530943 | − | 0.000919619i | ||||
\(81\) | 7.94820 | + | 4.22211i | 0.883133 | + | 0.469123i | ||||
\(82\) | 3.51454 | − | 1.08409i | 0.388116 | − | 0.119718i | ||||
\(83\) | 13.3293 | + | 9.08779i | 1.46309 | + | 0.997515i | 0.993403 | + | 0.114679i | \(0.0365840\pi\) |
0.469683 | + | 0.882835i | \(0.344368\pi\) | |||||||
\(84\) | 0.373396 | + | 0.147804i | 0.0407408 | + | 0.0161267i | ||||
\(85\) | 0.000308314 | 0 | 0.000210205i | 3.34413e−5 | 0 | 2.27999e-5i | ||||
\(86\) | −2.55570 | + | 3.20475i | −0.275589 | + | 0.345577i | ||||
\(87\) | −6.60324 | − | 1.83941i | −0.707941 | − | 0.197205i | ||||
\(88\) | 2.00128 | − | 8.76818i | 0.213337 | − | 0.934691i | ||||
\(89\) | −6.52467 | − | 4.44845i | −0.691614 | − | 0.471534i | 0.165802 | − | 0.986159i | \(-0.446979\pi\) |
−0.857416 | + | 0.514625i | \(0.827931\pi\) | |||||||
\(90\) | −0.00540243 | − | 0.00827021i | −0.000569466 | − | 0.000871757i | ||||
\(91\) | 4.15085 | + | 4.75601i | 0.435128 | + | 0.498565i | ||||
\(92\) | −0.625140 | + | 0.192830i | −0.0651753 | + | 0.0201039i | ||||
\(93\) | −3.88450 | − | 9.14881i | −0.402804 | − | 0.948687i | ||||
\(94\) | 0.295801 | − | 0.753689i | 0.0305095 | − | 0.0777370i | ||||
\(95\) | −0.00660147 | + | 0.00612527i | −0.000677297 | + | 0.000628440i | ||||
\(96\) | 0.826545 | + | 0.230243i | 0.0843589 | + | 0.0234991i | ||||
\(97\) | 3.00257 | + | 5.20060i | 0.304865 | + | 0.528041i | 0.977231 | − | 0.212177i | \(-0.0680554\pi\) |
−0.672367 | + | 0.740218i | \(0.734722\pi\) | |||||||
\(98\) | −6.77542 | + | 7.50918i | −0.684420 | + | 0.758541i | ||||
\(99\) | −7.51265 | − | 6.23778i | −0.755050 | − | 0.626920i | ||||
\(100\) | −0.0327441 | − | 0.436939i | −0.00327441 | − | 0.0436939i | ||||
\(101\) | −2.76172 | − | 12.0999i | −0.274802 | − | 1.20399i | −0.904271 | − | 0.426959i | \(-0.859585\pi\) |
0.629469 | − | 0.777026i | \(-0.283272\pi\) | |||||||
\(102\) | 0.307938 | + | 0.270340i | 0.0304904 | + | 0.0267676i | ||||
\(103\) | 2.19413 | + | 9.61313i | 0.216194 | + | 0.947210i | 0.960261 | + | 0.279104i | \(0.0900375\pi\) |
−0.744066 | + | 0.668106i | \(0.767105\pi\) | |||||||
\(104\) | 4.83275 | + | 4.48413i | 0.473890 | + | 0.439705i | ||||
\(105\) | 0.0101884 | − | 0.00229423i | 0.000994288 | − | 0.000223894i | ||||
\(106\) | −8.94136 | + | 8.29637i | −0.868462 | + | 0.805815i | ||||
\(107\) | −4.57265 | − | 3.11758i | −0.442055 | − | 0.301388i | 0.321763 | − | 0.946820i | \(-0.395725\pi\) |
−0.763817 | + | 0.645433i | \(0.776677\pi\) | |||||||
\(108\) | 0.307115 | − | 0.336197i | 0.0295521 | − | 0.0323505i | ||||
\(109\) | −14.7506 | + | 10.0568i | −1.41285 | + | 0.963266i | −0.414263 | + | 0.910157i | \(0.635961\pi\) |
−0.998589 | + | 0.0531091i | \(0.983087\pi\) | |||||||
\(110\) | 0.00391563 | + | 0.00997687i | 0.000373341 | + | 0.000951257i | ||||
\(111\) | 9.88127 | + | 2.75254i | 0.937889 | + | 0.261259i | ||||
\(112\) | −6.48578 | + | 8.91718i | −0.612849 | + | 0.842594i | ||||
\(113\) | −1.07586 | + | 14.3564i | −0.101209 | + | 1.35054i | 0.683172 | + | 0.730257i | \(0.260600\pi\) |
−0.784381 | + | 0.620279i | \(0.787019\pi\) | |||||||
\(114\) | −8.32096 | − | 5.34373i | −0.779330 | − | 0.500487i | ||||
\(115\) | −0.0106075 | + | 0.0133014i | −0.000989155 | + | 0.00124036i | ||||
\(116\) | −0.173405 | + | 0.300346i | −0.0161003 | + | 0.0278865i | ||||
\(117\) | 6.71339 | − | 2.48296i | 0.620653 | − | 0.229550i | ||||
\(118\) | 4.27091 | − | 5.35556i | 0.393170 | − | 0.493019i | ||||
\(119\) | −0.381589 | + | 0.205087i | −0.0349802 | + | 0.0188003i | ||||
\(120\) | 0.0103298 | − | 0.00350045i | 0.000942978 | − | 0.000319546i | ||||
\(121\) | −0.252875 | − | 0.317095i | −0.0229887 | − | 0.0288269i | ||||
\(122\) | 17.9057 | + | 12.2079i | 1.62110 | + | 1.10525i | ||||
\(123\) | 4.02350 | + | 1.80294i | 0.362787 | + | 0.162565i | ||||
\(124\) | −0.497262 | + | 0.0749502i | −0.0446555 | + | 0.00673073i | ||||
\(125\) | −0.0142091 | − | 0.0178177i | −0.00127090 | − | 0.00159366i | ||||
\(126\) | 5.22866 | + | 10.2070i | 0.465806 | + | 0.909308i | ||||
\(127\) | −9.96604 | + | 12.4970i | −0.884343 | + | 1.10893i | 0.109035 | + | 0.994038i | \(0.465224\pi\) |
−0.993378 | + | 0.114893i | \(0.963347\pi\) | |||||||
\(128\) | −5.99989 | + | 10.3921i | −0.530320 | + | 0.918542i | ||||
\(129\) | −4.83689 | + | 0.865808i | −0.425865 | + | 0.0762301i | ||||
\(130\) | −0.00776869 | − | 0.00117094i | −0.000681359 | − | 0.000102698i | ||||
\(131\) | 3.66116 | − | 16.0406i | 0.319877 | − | 1.40147i | −0.517890 | − | 0.855447i | \(-0.673282\pi\) |
0.837767 | − | 0.546027i | \(-0.183861\pi\) | |||||||
\(132\) | −0.400385 | + | 0.289435i | −0.0348491 | + | 0.0251920i | ||||
\(133\) | 8.36852 | − | 6.26670i | 0.725643 | − | 0.543392i | ||||
\(134\) | −6.12993 | − | 2.95202i | −0.529545 | − | 0.255016i | ||||
\(135\) | 0.00167383 | − | 0.0117230i | 0.000144060 | − | 0.00100895i | ||||
\(136\) | −0.373812 | + | 0.254861i | −0.0320541 | + | 0.0218541i | ||||
\(137\) | 0.683786 | − | 2.99586i | 0.0584197 | − | 0.255954i | −0.937282 | − | 0.348572i | \(-0.886667\pi\) |
0.995702 | + | 0.0926186i | \(0.0295237\pi\) | |||||||
\(138\) | −17.0490 | − | 7.63968i | −1.45131 | − | 0.650333i | ||||
\(139\) | 5.05582 | + | 1.55951i | 0.428829 | + | 0.132276i | 0.501654 | − | 0.865069i | \(-0.332725\pi\) |
−0.0728248 | + | 0.997345i | \(0.523201\pi\) | |||||||
\(140\) | 1.60810e−5 | 0 | 0.000528145i | 1.35910e−6 | 0 | 4.46364e-5i | ||||
\(141\) | 0.862548 | − | 0.445030i | 0.0726396 | − | 0.0374783i | ||||
\(142\) | −11.0398 | − | 3.40532i | −0.926438 | − | 0.285768i | ||||
\(143\) | −7.67930 | + | 1.15747i | −0.642175 | + | 0.0967923i | ||||
\(144\) | 6.83768 | + | 10.4673i | 0.569807 | + | 0.872278i | ||||
\(145\) | 0.000673996 | 0.00899386i | 5.59724e−5 | 0.000746899i | ||||||
\(146\) | 5.25072 | + | 9.09451i | 0.434553 | + | 0.752667i | ||||
\(147\) | −12.0425 | + | 1.40625i | −0.993251 | + | 0.115986i | ||||
\(148\) | 0.259488 | − | 0.449447i | 0.0213298 | − | 0.0369443i | ||||
\(149\) | −6.66191 | − | 3.20821i | −0.545765 | − | 0.262826i | 0.140622 | − | 0.990063i | \(-0.455090\pi\) |
−0.686387 | + | 0.727237i | \(0.740804\pi\) | |||||||
\(150\) | 7.52945 | − | 9.99397i | 0.614777 | − | 0.816004i | ||||
\(151\) | 2.05452 | + | 2.57629i | 0.167194 | + | 0.209655i | 0.858369 | − | 0.513032i | \(-0.171478\pi\) |
−0.691175 | + | 0.722688i | \(0.742907\pi\) | |||||||
\(152\) | 8.00389 | − | 7.42653i | 0.649201 | − | 0.602371i | ||||
\(153\) | 0.0636053 | + | 0.487079i | 0.00514218 | + | 0.0393780i | ||||
\(154\) | −3.30399 | − | 11.9960i | −0.266243 | − | 0.966667i | ||||
\(155\) | −0.00958669 | + | 0.00889515i | −0.000770021 | + | 0.000714475i | ||||
\(156\) | −0.0369925 | − | 0.360256i | −0.00296177 | − | 0.0288436i | ||||
\(157\) | −6.65538 | + | 2.05291i | −0.531157 | + | 0.163840i | −0.548721 | − | 0.836005i | \(-0.684885\pi\) |
0.0175640 | + | 0.999846i | \(0.494409\pi\) | |||||||
\(158\) | −1.34234 | − | 17.9123i | −0.106791 | − | 1.42502i | ||||
\(159\) | −14.6163 | + | 0.402420i | −1.15915 | + | 0.0319140i | ||||
\(160\) | −8.43660e−5 | − | 0.00112579i | −6.66972e−6 | − | 8.90012e-5i | ||||
\(161\) | 13.8687 | − | 14.0631i | 1.09301 | − | 1.10833i | ||||
\(162\) | 12.9250 | − | 1.42884i | 1.01549 | − | 0.112260i | ||||
\(163\) | −1.12078 | + | 0.345716i | −0.0877865 | + | 0.0270785i | −0.338337 | − | 0.941025i | \(-0.609864\pi\) |
0.250551 | + | 0.968103i | \(0.419388\pi\) | |||||||
\(164\) | 0.139083 | − | 0.174405i | 0.0108606 | − | 0.0136187i | ||||
\(165\) | −0.00436298 | + | 0.0120846i | −0.000339658 | + | 0.000940782i | ||||
\(166\) | 23.3093 | 1.80916 | ||||||||
\(167\) | 5.38927 | + | 13.7316i | 0.417034 | + | 1.06259i | 0.972882 | + | 0.231302i | \(0.0742984\pi\) |
−0.555848 | + | 0.831284i | \(0.687606\pi\) | |||||||
\(168\) | −12.3529 | + | 2.78162i | −0.953043 | + | 0.214607i | ||||
\(169\) | −2.66964 | + | 6.80213i | −0.205357 | + | 0.523241i | ||||
\(170\) | 0.000196976 | 0 | 0.000501886i | 1.51074e−5 | 0 | 3.84929e-5i | ||||
\(171\) | −3.26984 | − | 11.3948i | −0.250051 | − | 0.871382i | ||||
\(172\) | −0.0185788 | + | 0.247917i | −0.00141662 | + | 0.0189035i | ||||
\(173\) | 0.597153 | − | 0.0900064i | 0.0454007 | − | 0.00684306i | −0.126303 | − | 0.991992i | \(-0.540311\pi\) |
0.171703 | + | 0.985149i | \(0.445073\pi\) | |||||||
\(174\) | −9.38009 | + | 3.17863i | −0.711103 | + | 0.240971i | ||||
\(175\) | 7.11592 | + | 11.1518i | 0.537913 | + | 0.842999i | ||||
\(176\) | −4.95589 | − | 12.6274i | −0.373564 | − | 0.951826i | ||||
\(177\) | 8.08307 | − | 1.44688i | 0.607561 | − | 0.108754i | ||||
\(178\) | −11.4099 | −0.855205 | ||||||||
\(179\) | −2.69071 | − | 6.85581i | −0.201113 | − | 0.512428i | 0.794363 | − | 0.607444i | \(-0.207805\pi\) |
−0.995476 | + | 0.0950161i | \(0.969710\pi\) | |||||||
\(180\) | −0.000553290 | 0 | 0.000229861i | −4.12398e−5 | 0 | 1.71328e-5i | ||||
\(181\) | 7.06015 | − | 3.39999i | 0.524777 | − | 0.252719i | −0.152688 | − | 0.988274i | \(-0.548793\pi\) |
0.677465 | + | 0.735555i | \(0.263079\pi\) | |||||||
\(182\) | 8.82632 | + | 2.29927i | 0.654250 | + | 0.170433i | ||||
\(183\) | 6.47569 | + | 25.1588i | 0.478697 | + | 1.85979i | ||||
\(184\) | 12.8610 | − | 16.1271i | 0.948123 | − | 1.18891i | ||||
\(185\) | −0.00100859 | − | 0.0134587i | −7.41528e−5 | − | 0.000989501i | ||||
\(186\) | −12.0837 | − | 7.76019i | −0.886023 | − | 0.569005i | ||||
\(187\) | 0.0398276 | − | 0.531462i | 0.00291248 | − | 0.0388644i | ||||
\(188\) | −0.0109273 | − | 0.0478756i | −0.000796954 | − | 0.00349169i | ||||
\(189\) | −3.36209 | + | 13.3303i | −0.244556 | + | 0.969635i | ||||
\(190\) | −0.00289537 | + | 0.0126854i | −0.000210052 | + | 0.000920299i | ||||
\(191\) | −3.70395 | − | 1.14252i | −0.268009 | − | 0.0826697i | 0.157838 | − | 0.987465i | \(-0.449548\pi\) |
−0.425847 | + | 0.904795i | \(0.640024\pi\) | |||||||
\(192\) | −12.4991 | + | 4.23555i | −0.902043 | + | 0.305675i | ||||
\(193\) | 5.48283 | − | 5.08732i | 0.394663 | − | 0.366193i | −0.457734 | − | 0.889089i | \(-0.651339\pi\) |
0.852397 | + | 0.522896i | \(0.175148\pi\) | |||||||
\(194\) | 7.81735 | + | 3.76464i | 0.561253 | + | 0.270285i | ||||
\(195\) | −0.00607246 | − | 0.00719890i | −0.000434858 | − | 0.000515524i | ||||
\(196\) | −0.0829735 | + | 0.607793i | −0.00592668 | + | 0.0434138i | ||||
\(197\) | 15.5025 | 1.10451 | 0.552255 | − | 0.833675i | \(-0.313767\pi\) | ||||
0.552255 | + | 0.833675i | \(0.313767\pi\) | |||||||
\(198\) | −14.0457 | − | 1.33198i | −0.998183 | − | 0.0946595i | ||||
\(199\) | −2.90501 | − | 0.896077i | −0.205931 | − | 0.0635212i | 0.190074 | − | 0.981770i | \(-0.439127\pi\) |
−0.396004 | + | 0.918249i | \(0.629604\pi\) | |||||||
\(200\) | 8.61385 | + | 10.8014i | 0.609091 | + | 0.763776i | ||||
\(201\) | −3.18756 | − | 7.50736i | −0.224833 | − | 0.529528i | ||||
\(202\) | −13.1453 | − | 12.1971i | −0.924901 | − | 0.858183i | ||||
\(203\) | 0.318664 | − | 10.4658i | 0.0223658 | − | 0.734554i | ||||
\(204\) | 0.0246680 | + | 0.00302638i | 0.00172710 | + | 0.000211889i | ||||
\(205\) | 0.000433522 | − | 0.00578495i | 3.02785e−5 | − | 0.000404039i | ||||
\(206\) | 10.4437 | + | 9.69033i | 0.727647 | + | 0.675157i | ||||
\(207\) | −9.31682 | − | 20.3659i | −0.647564 | − | 1.41553i | ||||
\(208\) | 9.83258 | + | 1.48202i | 0.681767 | + | 0.102760i | ||||
\(209\) | 0.961175 | + | 12.8260i | 0.0664858 | + | 0.887192i | ||||
\(210\) | 0.0102956 | − | 0.0110314i | 0.000710467 | − | 0.000761241i | ||||
\(211\) | 0.649031 | − | 8.66072i | 0.0446811 | − | 0.596228i | −0.929260 | − | 0.369427i | \(-0.879554\pi\) |
0.973941 | − | 0.226802i | \(-0.0728269\pi\) | |||||||
\(212\) | −0.164619 | + | 0.721243i | −0.0113061 | + | 0.0495352i | ||||
\(213\) | −7.25216 | − | 11.7988i | −0.496910 | − | 0.808440i | ||||
\(214\) | −7.99630 | −0.546616 | ||||||||
\(215\) | 0.00323268 | + | 0.00559916i | 0.000220467 | + | 0.000381859i | ||||
\(216\) | −2.02942 | + | 14.2134i | −0.138084 | + | 0.967099i | ||||
\(217\) | 12.1528 | − | 9.10053i | 0.824986 | − | 0.617784i | ||||
\(218\) | −9.42388 | + | 24.0117i | −0.638266 | + | 1.62627i | ||||
\(219\) | −2.46242 | + | 12.3456i | −0.166395 | + | 0.834236i | ||||
\(220\) | 0.000537093 | 0 | 0.000366184i | 3.62108e−5 | 0 | 2.46881e-5i | ||||
\(221\) | 0.322787 | + | 0.220073i | 0.0217130 | + | 0.0148037i | ||||
\(222\) | 14.0366 | − | 4.75659i | 0.942077 | − | 0.319241i | ||||
\(223\) | 6.15520 | − | 15.6832i | 0.412183 | − | 1.05023i | −0.562532 | − | 0.826775i | \(-0.690173\pi\) |
0.974715 | − | 0.223450i | \(-0.0717319\pi\) | |||||||
\(224\) | −0.0398881 | + | 1.31003i | −0.00266513 | + | 0.0875302i | ||||
\(225\) | 14.6870 | − | 3.04837i | 0.979131 | − | 0.203225i | ||||
\(226\) | 10.4006 | + | 18.0144i | 0.691838 | + | 1.19830i | ||||
\(227\) | 27.9557 | 1.85548 | 0.927742 | − | 0.373221i | \(-0.121747\pi\) | ||||
0.927742 | + | 0.373221i | \(0.121747\pi\) | |||||||
\(228\) | −0.599559 | + | 0.0165072i | −0.0397068 | + | 0.00109322i | ||||
\(229\) | 1.75675 | − | 7.69683i | 0.116089 | − | 0.508621i | −0.883131 | − | 0.469127i | \(-0.844569\pi\) |
0.999220 | − | 0.0394932i | \(-0.0125743\pi\) | |||||||
\(230\) | −0.00183699 | + | 0.0245129i | −0.000121127 | + | 0.00161633i | ||||
\(231\) | 6.51087 | − | 13.4198i | 0.428384 | − | 0.882959i | ||||
\(232\) | −0.817181 | − | 10.9045i | −0.0536505 | − | 0.715917i | ||||
\(233\) | −12.2620 | − | 1.84820i | −0.803312 | − | 0.121080i | −0.265463 | − | 0.964121i | \(-0.585525\pi\) |
−0.537849 | + | 0.843041i | \(0.680763\pi\) | |||||||
\(234\) | 5.99353 | − | 8.42834i | 0.391809 | − | 0.550978i | ||||
\(235\) | −0.000936153 | 0 | 0.000868623i | −6.10679e−5 | 0 | 5.66627e-5i | ||||
\(236\) | 0.0310476 | − | 0.414301i | 0.00202102 | − | 0.0269687i | ||||
\(237\) | 12.9571 | − | 17.1981i | 0.841652 | − | 1.11714i | ||||
\(238\) | −0.288618 | + | 0.555417i | −0.0187083 | + | 0.0360023i | ||||
\(239\) | 6.49531 | + | 6.02677i | 0.420147 | + | 0.389839i | 0.861718 | − | 0.507387i | \(-0.169388\pi\) |
−0.441572 | + | 0.897226i | \(0.645579\pi\) | |||||||
\(240\) | 0.00989895 | − | 0.0131391i | 0.000638975 | − | 0.000848122i | ||||
\(241\) | 17.5920 | + | 22.0597i | 1.13320 | + | 1.42099i | 0.892881 | + | 0.450293i | \(0.148681\pi\) |
0.240319 | + | 0.970694i | \(0.422748\pi\) | |||||||
\(242\) | −0.559974 | − | 0.172729i | −0.0359965 | − | 0.0111034i | ||||
\(243\) | 12.7737 | + | 8.93487i | 0.819435 | + | 0.573172i | ||||
\(244\) | 1.31439 | 0.0841455 | ||||||||
\(245\) | 0.00712107 | + | 0.0142752i | 0.000454949 | + | 0.000912008i | ||||
\(246\) | 6.27072 | − | 1.12246i | 0.399806 | − | 0.0715657i | ||||
\(247\) | −8.49452 | − | 4.09075i | −0.540493 | − | 0.260288i | ||||
\(248\) | 11.6233 | − | 10.7848i | 0.738080 | − | 0.684838i | ||||
\(249\) | 20.9985 | + | 18.4347i | 1.33073 | + | 1.16825i | ||||
\(250\) | −0.0314651 | − | 0.00970568i | −0.00199002 | − | 0.000613841i | ||||
\(251\) | −0.385575 | + | 1.68931i | −0.0243373 | + | 0.106628i | −0.985638 | − | 0.168874i | \(-0.945987\pi\) |
0.961300 | + | 0.275502i | \(0.0888441\pi\) | |||||||
\(252\) | 0.610753 | + | 0.332853i | 0.0384738 | + | 0.0209678i | ||||
\(253\) | 5.40699 | + | 23.6896i | 0.339934 | + | 1.48935i | ||||
\(254\) | −1.72590 | + | 23.0305i | −0.108293 | + | 1.44507i | ||||
\(255\) | 0.000574377 | 0 | 0.000296348i | 3.59689e−5 | 0 | 1.85581e-5i | ||||
\(256\) | 0.156874 | + | 2.09334i | 0.00980464 | + | 0.130834i | ||||
\(257\) | −11.2865 | + | 14.1528i | −0.704031 | + | 0.882828i | −0.997317 | − | 0.0731972i | \(-0.976680\pi\) |
0.293286 | + | 0.956025i | \(0.405251\pi\) | |||||||
\(258\) | −5.06960 | + | 4.97045i | −0.315619 | + | 0.309447i | ||||
\(259\) | −0.476858 | + | 15.6613i | −0.0296305 | + | 0.973146i | ||||
\(260\) | −0.000429315 | 0 | 0.000206747i | −2.66250e−5 | 0 | 1.28219e-5i | ||||
\(261\) | −10.9641 | − | 4.55495i | −0.678659 | − | 0.281944i | ||||
\(262\) | −8.68508 | − | 22.1292i | −0.536566 | − | 1.36715i | ||||
\(263\) | −25.2485 | −1.55689 | −0.778444 | − | 0.627714i | \(-0.783991\pi\) | ||||
−0.778444 | + | 0.627714i | \(0.783991\pi\) | |||||||
\(264\) | 5.28986 | − | 14.6518i | 0.325568 | − | 0.901757i | ||||
\(265\) | 0.00702875 | + | 0.0179090i | 0.000431773 | + | 0.00110014i | ||||
\(266\) | 4.88976 | − | 14.2925i | 0.299811 | − | 0.876330i | ||||
\(267\) | −10.2787 | − | 9.02374i | −0.629048 | − | 0.552244i | ||||
\(268\) | −0.408045 | + | 0.0615029i | −0.0249253 | + | 0.00375689i | ||||
\(269\) | 0.682492 | − | 9.10723i | 0.0416123 | − | 0.555278i | −0.936968 | − | 0.349414i | \(-0.886381\pi\) |
0.978581 | − | 0.205863i | \(-0.0660003\pi\) | |||||||
\(270\) | −0.00754334 | − | 0.0153573i | −0.000459073 | − | 0.000934614i | ||||
\(271\) | −1.35361 | + | 3.44893i | −0.0822258 | + | 0.209508i | −0.966074 | − | 0.258266i | \(-0.916849\pi\) |
0.883848 | + | 0.467774i | \(0.154944\pi\) | |||||||
\(272\) | −0.249306 | + | 0.635221i | −0.0151164 | + | 0.0385160i | ||||
\(273\) | 6.13287 | + | 9.05182i | 0.371178 | + | 0.547841i | ||||
\(274\) | −1.62209 | − | 4.13301i | −0.0979939 | − | 0.249685i | ||||
\(275\) | −16.2745 | −0.981390 | ||||||||
\(276\) | −1.11539 | + | 0.199655i | −0.0671384 | + | 0.0120178i | ||||
\(277\) | 19.2474 | − | 24.1354i | 1.15646 | − | 1.45016i | 0.285791 | − | 0.958292i | \(-0.407744\pi\) |
0.870671 | − | 0.491866i | \(-0.163685\pi\) | |||||||
\(278\) | 7.30497 | − | 2.25329i | 0.438123 | − | 0.135143i | ||||
\(279\) | −4.74848 | − | 16.5476i | −0.284284 | − | 0.990677i | ||||
\(280\) | 0.00896185 | + | 0.0140447i | 0.000535573 | + | 0.000839332i | ||||
\(281\) | 0.631155 | + | 8.42218i | 0.0376516 | + | 0.502425i | 0.983869 | + | 0.178893i | \(0.0572514\pi\) |
−0.946217 | + | 0.323532i | \(0.895130\pi\) | |||||||
\(282\) | 0.667493 | − | 1.23332i | 0.0397486 | − | 0.0734433i | ||||
\(283\) | −2.09419 | − | 27.9450i | −0.124486 | − | 1.66116i | −0.614108 | − | 0.789222i | \(-0.710484\pi\) |
0.489622 | − | 0.871935i | \(-0.337135\pi\) | |||||||
\(284\) | −0.669577 | + | 0.206537i | −0.0397321 | + | 0.0122557i | ||||
\(285\) | −0.0126409 | + | 0.00913798i | −0.000748782 | + | 0.000541288i | ||||
\(286\) | −8.22548 | + | 7.63213i | −0.486383 | + | 0.451297i | ||||
\(287\) | −1.20599 | + | 6.62598i | −0.0711873 | + | 0.391119i | ||||
\(288\) | 1.37240 | + | 0.570156i | 0.0808696 | + | 0.0335967i | ||||
\(289\) | 12.4422 | − | 11.5447i | 0.731896 | − | 0.679100i | ||||
\(290\) | 0.00812491 | + | 0.0101883i | 0.000477111 | + | 0.000598278i | ||||
\(291\) | 4.06502 | + | 9.57396i | 0.238296 | + | 0.561235i | ||||
\(292\) | 0.573851 | + | 0.276352i | 0.0335821 | + | 0.0161723i | ||||
\(293\) | −14.9722 | + | 25.9326i | −0.874685 | + | 1.51500i | −0.0175868 | + | 0.999845i | \(0.505598\pi\) |
−0.857098 | + | 0.515153i | \(0.827735\pi\) | |||||||
\(294\) | −13.2318 | + | 11.4805i | −0.771696 | + | 0.669554i | ||||
\(295\) | −0.00540222 | − | 0.00935692i | −0.000314529 | − | 0.000544781i | ||||
\(296\) | 1.22285 | + | 16.3178i | 0.0710768 | + | 0.948455i | ||||
\(297\) | −11.5998 | − | 12.3083i | −0.673090 | − | 0.714198i | ||||
\(298\) | −10.5642 | + | 1.59230i | −0.611970 | + | 0.0922396i | ||||
\(299\) | −17.0204 | − | 5.25011i | −0.984317 | − | 0.303622i | ||||
\(300\) | 0.0358643 | − | 0.758075i | 0.00207063 | − | 0.0437675i | ||||
\(301\) | −3.04937 | − | 6.85857i | −0.175763 | − | 0.395321i | ||||
\(302\) | 4.54958 | + | 1.40336i | 0.261799 | + | 0.0807544i | ||||
\(303\) | −2.19581 | − | 21.3842i | −0.126146 | − | 1.22849i | ||||
\(304\) | 3.66458 | − | 16.0556i | 0.210178 | − | 0.920849i | ||||
\(305\) | 0.0282424 | − | 0.0192553i | 0.00161716 | − | 0.00110256i | ||||
\(306\) | 0.472376 | + | 0.529706i | 0.0270039 | + | 0.0302813i | ||||
\(307\) | −1.02144 | − | 0.491900i | −0.0582967 | − | 0.0280742i | 0.404508 | − | 0.914534i | \(-0.367443\pi\) |
−0.462805 | + | 0.886460i | \(0.653157\pi\) | |||||||
\(308\) | −0.575429 | − | 0.488266i | −0.0327881 | − | 0.0278215i | ||||
\(309\) | 1.74452 | + | 16.9893i | 0.0992425 | + | 0.966487i | ||||
\(310\) | −0.00420467 | + | 0.0184219i | −0.000238809 | + | 0.00104629i | ||||
\(311\) | 22.1209 | + | 3.33419i | 1.25436 | + | 0.189065i | 0.742408 | − | 0.669948i | \(-0.233684\pi\) |
0.511954 | + | 0.859013i | \(0.328922\pi\) | |||||||
\(312\) | 7.36250 | + | 8.72824i | 0.416820 | + | 0.494139i | ||||
\(313\) | −4.98386 | + | 8.63230i | −0.281704 | + | 0.487926i | −0.971805 | − | 0.235787i | \(-0.924233\pi\) |
0.690100 | + | 0.723714i | \(0.257566\pi\) | |||||||
\(314\) | −6.27430 | + | 7.86773i | −0.354079 | + | 0.444002i | ||||
\(315\) | 0.0179994 | − | 0.00179527i | 0.00101415 | − | 0.000101152i | ||||
\(316\) | −0.679261 | − | 0.851766i | −0.0382114 | − | 0.0479156i | ||||
\(317\) | −3.96456 | + | 0.597561i | −0.222672 | + | 0.0335624i | −0.259430 | − | 0.965762i | \(-0.583535\pi\) |
0.0367586 | + | 0.999324i | \(0.488297\pi\) | |||||||
\(318\) | −17.1215 | + | 12.3769i | −0.960124 | + | 0.694064i | ||||
\(319\) | 10.6431 | + | 7.25635i | 0.595899 | + | 0.406277i | ||||
\(320\) | 0.0108265 | + | 0.0135760i | 0.000605221 | + | 0.000758924i | ||||
\(321\) | −7.20358 | − | 6.32406i | −0.402065 | − | 0.352974i | ||||
\(322\) | 5.11021 | − | 28.0766i | 0.284781 | − | 1.56465i | ||||
\(323\) | 0.403411 | − | 0.505861i | 0.0224464 | − | 0.0281469i | ||||
\(324\) | 0.598888 | − | 0.513201i | 0.0332716 | − | 0.0285112i | ||||
\(325\) | 5.96486 | − | 10.3314i | 0.330871 | − | 0.573085i | ||||
\(326\) | −1.05661 | + | 1.32494i | −0.0585201 | + | 0.0733819i | ||||
\(327\) | −27.4798 | + | 14.1781i | −1.51964 | + | 0.784053i | ||||
\(328\) | −0.525620 | + | 7.01391i | −0.0290225 | + | 0.387279i | ||||
\(329\) | 0.974879 | + | 1.11701i | 0.0537468 | + | 0.0615826i | ||||
\(330\) | 0.00462734 | + | 0.0179777i | 0.000254727 | + | 0.000989640i | ||||
\(331\) | −1.68793 | − | 4.30077i | −0.0927769 | − | 0.236392i | 0.876951 | − | 0.480580i | \(-0.159574\pi\) |
−0.969728 | + | 0.244188i | \(0.921479\pi\) | |||||||
\(332\) | 1.16809 | − | 0.796390i | 0.0641072 | − | 0.0437076i | ||||
\(333\) | 16.4069 | + | 6.81616i | 0.899095 | + | 0.373523i | ||||
\(334\) | 17.6102 | + | 12.0064i | 0.963587 | + | 0.656962i | ||||
\(335\) | −0.00786668 | + | 0.00729921i | −0.000429802 | + | 0.000398798i | ||||
\(336\) | −13.0309 | + | 13.9621i | −0.710892 | + | 0.761696i | ||||
\(337\) | 22.8979 | + | 21.2461i | 1.24733 | + | 1.15735i | 0.981113 | + | 0.193437i | \(0.0619636\pi\) |
0.266215 | + | 0.963914i | \(0.414227\pi\) | |||||||
\(338\) | 2.34937 | + | 10.2933i | 0.127789 | + | 0.559881i | ||||
\(339\) | −4.87755 | + | 24.4541i | −0.264912 | + | 1.32816i | ||||
\(340\) | −7.27656e−6 | 0 | 3.18807e-5i | −3.94627e−7 | 0 | 1.72897e-6i | ||||
\(341\) | 1.39582 | + | 18.6260i | 0.0755880 | + | 1.00865i | ||||
\(342\) | −13.1780 | − | 10.9417i | −0.712585 | − | 0.591662i | ||||
\(343\) | −6.48056 | − | 17.3494i | −0.349917 | − | 0.936781i | ||||
\(344\) | −3.91943 | − | 6.78865i | −0.211321 | − | 0.366019i | ||||
\(345\) | −0.0210415 | + | 0.0206300i | −0.00113283 | + | 0.00111068i | ||||
\(346\) | 0.639625 | − | 0.593485i | 0.0343865 | − | 0.0319060i | ||||
\(347\) | 8.85079 | − | 22.5514i | 0.475135 | − | 1.21062i | −0.469626 | − | 0.882865i | \(-0.655611\pi\) |
0.944761 | − | 0.327759i | \(-0.106293\pi\) | |||||||
\(348\) | −0.361458 | + | 0.479770i | −0.0193762 | + | 0.0257184i | ||||
\(349\) | −15.1797 | + | 4.68233i | −0.812553 | + | 0.250639i | −0.673064 | − | 0.739584i | \(-0.735022\pi\) |
−0.139489 | + | 0.990224i | \(0.544546\pi\) | |||||||
\(350\) | 17.5717 | + | 7.52130i | 0.939248 | + | 0.402030i | ||||
\(351\) | 12.0651 | − | 2.85266i | 0.643987 | − | 0.152264i | ||||
\(352\) | −1.33223 | − | 0.908297i | −0.0710079 | − | 0.0484124i | ||||
\(353\) | −2.40817 | + | 10.5509i | −0.128174 | + | 0.561568i | 0.869532 | + | 0.493876i | \(0.164420\pi\) |
−0.997706 | + | 0.0676914i | \(0.978437\pi\) | |||||||
\(354\) | 8.47195 | − | 8.30627i | 0.450279 | − | 0.441473i | ||||
\(355\) | −0.0113615 | + | 0.0142469i | −0.000603007 | + | 0.000756147i | ||||
\(356\) | −0.571776 | + | 0.389831i | −0.0303041 | + | 0.0206610i | ||||
\(357\) | −0.699270 | + | 0.272095i | −0.0370093 | + | 0.0144008i | ||||
\(358\) | −8.79227 | − | 5.99447i | −0.464686 | − | 0.316817i | ||||
\(359\) | −15.6297 | + | 4.82114i | −0.824906 | + | 0.254450i | −0.678337 | − | 0.734751i | \(-0.737299\pi\) |
−0.146569 | + | 0.989200i | \(0.546823\pi\) | |||||||
\(360\) | 0.0184969 | − | 0.00383914i | 0.000974872 | − | 0.000202340i | ||||
\(361\) | 1.69260 | − | 2.93167i | 0.0890842 | − | 0.154298i | ||||
\(362\) | 5.66110 | − | 9.80532i | 0.297541 | − | 0.515356i | ||||
\(363\) | −0.367853 | − | 0.598473i | −0.0193073 | − | 0.0314117i | ||||
\(364\) | 0.520866 | − | 0.186339i | 0.0273008 | − | 0.00976680i | ||||
\(365\) | 0.0163788 | − | 0.00246870i | 0.000857305 | − | 0.000129218i | ||||
\(366\) | 28.2079 | + | 24.7639i | 1.47445 | + | 1.29443i | ||||
\(367\) | 2.76808 | − | 1.33304i | 0.144493 | − | 0.0695840i | −0.360240 | − | 0.932860i | \(-0.617305\pi\) |
0.504733 | + | 0.863276i | \(0.331591\pi\) | |||||||
\(368\) | 2.32502 | − | 31.0252i | 0.121200 | − | 1.61730i | ||||
\(369\) | 6.53679 | + | 3.94815i | 0.340291 | + | 0.205533i | ||||
\(370\) | −0.0121583 | − | 0.0152461i | −0.000632082 | − | 0.000792606i | ||||
\(371\) | −5.93083 | − | 21.5334i | −0.307913 | − | 1.11796i | ||||
\(372\) | −0.870682 | + | 0.0239718i | −0.0451428 | + | 0.00124288i | ||||
\(373\) | 9.87595 | 0.511357 | 0.255679 | − | 0.966762i | \(-0.417701\pi\) | ||||
0.255679 | + | 0.966762i | \(0.417701\pi\) | |||||||
\(374\) | −0.385022 | − | 0.666877i | −0.0199090 | − | 0.0344834i | ||||
\(375\) | −0.0206698 | − | 0.0336283i | −0.00106738 | − | 0.00173656i | ||||
\(376\) | 1.13503 | + | 1.05315i | 0.0585347 | + | 0.0543122i | ||||
\(377\) | −8.50736 | + | 4.09693i | −0.438151 | + | 0.211003i | ||||
\(378\) | 6.83612 | + | 18.6502i | 0.351612 | + | 0.959263i | ||||
\(379\) | 21.7945 | + | 10.4957i | 1.11951 | + | 0.539128i | 0.899741 | − | 0.436424i | \(-0.143755\pi\) |
0.219769 | + | 0.975552i | \(0.429470\pi\) | |||||||
\(380\) | 0.000288318 | 0 | 0.000734623i | 1.47904e−5 | 0 | 3.76854e-5i | ||||
\(381\) | −19.7690 | + | 19.3824i | −1.01280 | + | 0.992991i | ||||
\(382\) | −5.35171 | + | 1.65078i | −0.273817 | + | 0.0844614i | ||||
\(383\) | −30.9733 | + | 14.9160i | −1.58266 | + | 0.762170i | −0.998766 | − | 0.0496584i | \(-0.984187\pi\) |
−0.583896 | + | 0.811828i | \(0.698472\pi\) | |||||||
\(384\) | −12.5066 | + | 16.6003i | −0.638226 | + | 0.847129i | ||||
\(385\) | −0.0195171 | − | 0.00206157i | −0.000994685 | − | 0.000105067i | ||||
\(386\) | 2.40474 | − | 10.5358i | 0.122398 | − | 0.536260i | ||||
\(387\) | −8.49801 | + | 0.468294i | −0.431978 | + | 0.0238047i | ||||
\(388\) | 0.520370 | − | 0.0784332i | 0.0264178 | − | 0.00398184i | ||||
\(389\) | 7.89183 | + | 34.5764i | 0.400132 | + | 1.75309i | 0.626858 | + | 0.779133i | \(0.284340\pi\) |
−0.226727 | + | 0.973958i | \(0.572802\pi\) | |||||||
\(390\) | −0.0131087 | − | 0.00365156i | −0.000663783 | − | 0.000184904i | ||||
\(391\) | 0.611175 | − | 1.05859i | 0.0309084 | − | 0.0535350i | ||||
\(392\) | −8.63388 | − | 17.3078i | −0.436077 | − | 0.874177i | ||||
\(393\) | 9.67732 | − | 26.8042i | 0.488156 | − | 1.35209i | ||||
\(394\) | 18.5070 | − | 12.6178i | 0.932368 | − | 0.635678i | ||||
\(395\) | −0.0270733 | − | 0.00835102i | −0.00136221 | − | 0.000420185i | ||||
\(396\) | −0.749373 | + | 0.413138i | −0.0376574 | + | 0.0207610i | ||||
\(397\) | 5.56236 | − | 5.16112i | 0.279167 | − | 0.259029i | −0.528145 | − | 0.849154i | \(-0.677112\pi\) |
0.807312 | + | 0.590125i | \(0.200922\pi\) | |||||||
\(398\) | −4.19735 | + | 1.29471i | −0.210394 | + | 0.0648979i | ||||
\(399\) | 15.7086 | − | 9.00843i | 0.786412 | − | 0.450985i | ||||
\(400\) | 19.9121 | + | 6.14208i | 0.995607 | + | 0.307104i | ||||
\(401\) | −10.4649 | + | 5.03963i | −0.522592 | + | 0.251667i | −0.676532 | − | 0.736413i | \(-0.736518\pi\) |
0.153940 | + | 0.988080i | \(0.450804\pi\) | |||||||
\(402\) | −9.91572 | − | 6.36789i | −0.494551 | − | 0.317601i | ||||
\(403\) | −12.3358 | − | 5.94060i | −0.614489 | − | 0.295922i | ||||
\(404\) | −1.07547 | − | 0.162101i | −0.0535067 | − | 0.00806484i | ||||
\(405\) | 0.00535012 | − | 0.0198006i | 0.000265850 | − | 0.000983901i | ||||
\(406\) | −8.13790 | − | 12.7535i | −0.403877 | − | 0.632943i | ||||
\(407\) | −15.9266 | − | 10.8586i | −0.789455 | − | 0.538241i | ||||
\(408\) | −0.696397 | + | 0.359305i | −0.0344768 | + | 0.0177882i | ||||
\(409\) | −17.3069 | − | 2.60860i | −0.855773 | − | 0.128987i | −0.293521 | − | 0.955953i | \(-0.594827\pi\) |
−0.562252 | + | 0.826966i | \(0.690065\pi\) | |||||||
\(410\) | −0.00419096 | − | 0.00725895i | −0.000206977 | − | 0.000358494i | ||||
\(411\) | 1.80741 | − | 5.00615i | 0.0891528 | − | 0.246935i | ||||
\(412\) | 0.854440 | + | 0.128786i | 0.0420953 | + | 0.00634484i | ||||
\(413\) | 5.09589 | + | 11.4616i | 0.250753 | + | 0.563987i | ||||
\(414\) | −27.6987 | − | 16.7297i | −1.36132 | − | 0.822221i | ||||
\(415\) | 0.0134320 | − | 0.0342241i | 0.000659349 | − | 0.00167999i | ||||
\(416\) | 1.06489 | − | 0.512824i | 0.0522105 | − | 0.0251433i | ||||
\(417\) | 8.36284 | + | 3.74740i | 0.409530 | + | 0.183511i | ||||
\(418\) | 11.5868 | + | 14.5294i | 0.566729 | + | 0.710655i | ||||
\(419\) | −4.02999 | + | 0.607423i | −0.196878 | + | 0.0296745i | −0.246741 | − | 0.969082i | \(-0.579360\pi\) |
0.0498630 | + | 0.998756i | \(0.484122\pi\) | |||||||
\(420\) | 0.000139039 | 0 | 0.000904575i | 6.78442e−6 | 0 | 4.41387e-5i | ||||
\(421\) | −24.8727 | − | 3.74896i | −1.21222 | − | 0.182713i | −0.488351 | − | 0.872647i | \(-0.662401\pi\) |
−0.723872 | + | 0.689934i | \(0.757639\pi\) | |||||||
\(422\) | −6.27432 | − | 10.8674i | −0.305429 | − | 0.529019i | ||||
\(423\) | 1.57672 | − | 0.583154i | 0.0766628 | − | 0.0283539i | ||||
\(424\) | −8.52194 | − | 21.7136i | −0.413862 | − | 1.05450i | ||||
\(425\) | 0.600142 | + | 0.556850i | 0.0291112 | + | 0.0270112i | ||||
\(426\) | −18.2609 | − | 8.18274i | −0.884745 | − | 0.396455i | ||||
\(427\) | −34.9547 | + | 18.7865i | −1.69157 | + | 0.909143i | ||||
\(428\) | −0.400715 | + | 0.273203i | −0.0193693 | + | 0.0132057i | ||||
\(429\) | −13.4461 | + | 0.370201i | −0.649183 | + | 0.0178735i | ||||
\(430\) | 0.00841645 | + | 0.00405315i | 0.000405877 | + | 0.000195460i | ||||
\(431\) | 17.6631 | + | 16.3890i | 0.850803 | + | 0.789430i | 0.979329 | − | 0.202276i | \(-0.0648338\pi\) |
−0.128525 | + | 0.991706i | \(0.541024\pi\) | |||||||
\(432\) | 9.54736 | + | 19.4372i | 0.459348 | + | 0.935173i | ||||
\(433\) | −6.24218 | − | 27.3488i | −0.299980 | − | 1.31430i | −0.870156 | − | 0.492776i | \(-0.835982\pi\) |
0.570176 | − | 0.821522i | \(-0.306875\pi\) | |||||||
\(434\) | 7.10094 | − | 20.7557i | 0.340856 | − | 0.996304i | ||||
\(435\) | −0.000738224 | 0.0156040i | −3.53951e−5 | 0.000748157i | ||||||
\(436\) | 0.348131 | + | 1.52526i | 0.0166724 | + | 0.0730468i | ||||
\(437\) | −10.7774 | + | 27.4603i | −0.515551 | + | 1.31360i | ||||
\(438\) | 7.10867 | + | 16.7424i | 0.339665 | + | 0.799982i | ||||
\(439\) | −30.8346 | + | 21.0227i | −1.47166 | + | 1.00336i | −0.479611 | + | 0.877481i | \(0.659222\pi\) |
−0.992046 | + | 0.125877i | \(0.959825\pi\) | |||||||
\(440\) | −0.0204963 | −0.000977121 | ||||||||
\(441\) | −20.9996 | − | 0.122364i | −0.999983 | − | 0.00582687i | ||||
\(442\) | 0.564466 | 0.0268489 | ||||||||
\(443\) | 2.75842 | − | 1.88066i | 0.131056 | − | 0.0893527i | −0.496017 | − | 0.868313i | \(-0.665205\pi\) |
0.627074 | + | 0.778960i | \(0.284252\pi\) | |||||||
\(444\) | 0.540897 | − | 0.717942i | 0.0256698 | − | 0.0340720i | ||||
\(445\) | −0.00657491 | + | 0.0167526i | −0.000311680 | + | 0.000794149i | ||||
\(446\) | −5.41679 | − | 23.7325i | −0.256492 | − | 1.12377i | ||||
\(447\) | −10.7762 | − | 6.92051i | −0.509699 | − | 0.327329i | ||||
\(448\) | −10.8438 | − | 16.9941i | −0.512324 | − | 0.802897i | ||||
\(449\) | 3.12388 | + | 13.6866i | 0.147425 | + | 0.645910i | 0.993595 | + | 0.112998i | \(0.0360453\pi\) |
−0.846170 | + | 0.532912i | \(0.821098\pi\) | |||||||
\(450\) | 15.0522 | − | 15.5932i | 0.709568 | − | 0.735070i | ||||
\(451\) | −6.07367 | − | 5.63554i | −0.285998 | − | 0.265367i | ||||
\(452\) | 1.13668 | + | 0.547397i | 0.0534650 | + | 0.0257474i | ||||
\(453\) | 2.98867 | + | 4.86238i | 0.140420 | + | 0.228454i | ||||
\(454\) | 33.3736 | − | 22.7537i | 1.56630 | − | 1.06789i | ||||
\(455\) | 0.00846207 | − | 0.0116343i | 0.000396708 | − | 0.000545426i | ||||
\(456\) | 15.3263 | − | 11.0793i | 0.717722 | − | 0.518834i | ||||
\(457\) | 17.0692 | + | 15.8379i | 0.798464 | + | 0.740866i | 0.969683 | − | 0.244367i | \(-0.0785801\pi\) |
−0.171219 | + | 0.985233i | \(0.554771\pi\) | |||||||
\(458\) | −4.16740 | − | 10.6184i | −0.194730 | − | 0.496163i | ||||
\(459\) | 0.00661591 | + | 0.850782i | 0.000308804 | + | 0.0397111i | ||||
\(460\) | 0.000745455 | 0.00129117i | 3.47570e−5 | 6.02009e-5i | ||||||
\(461\) | 28.1656 | + | 4.24528i | 1.31180 | + | 0.197722i | 0.767436 | − | 0.641125i | \(-0.221532\pi\) |
0.544366 | + | 0.838848i | \(0.316770\pi\) | |||||||
\(462\) | −3.14997 | − | 21.3199i | −0.146550 | − | 0.991894i | ||||
\(463\) | −32.4776 | + | 4.89521i | −1.50936 | + | 0.227500i | −0.850986 | − | 0.525188i | \(-0.823995\pi\) |
−0.658377 | + | 0.752688i | \(0.728757\pi\) | |||||||
\(464\) | −10.2834 | − | 12.8950i | −0.477396 | − | 0.598636i | ||||
\(465\) | −0.0183572 | + | 0.0132702i | −0.000851294 | + | 0.000615392i | ||||
\(466\) | −16.1427 | + | 7.77393i | −0.747798 | + | 0.360121i | ||||
\(467\) | −5.20585 | + | 13.2643i | −0.240898 | + | 0.613798i | −0.999277 | − | 0.0380159i | \(-0.987896\pi\) |
0.758379 | + | 0.651813i | \(0.225991\pi\) | |||||||
\(468\) | 0.0123871 | − | 0.627141i | 0.000572595 | − | 0.0289896i | ||||
\(469\) | 9.97238 | − | 7.46774i | 0.460482 | − | 0.344828i | ||||
\(470\) | −0.00182457 | 0.000275010i | −8.41612e−5 | 1.26853e-5i | ||||||
\(471\) | −11.8747 | + | 2.12557i | −0.547155 | + | 0.0979413i | ||||
\(472\) | 6.54987 | + | 11.3447i | 0.301482 | + | 0.522183i | ||||
\(473\) | 9.13093 | + | 1.37627i | 0.419840 | + | 0.0632808i | ||||
\(474\) | 1.47026 | − | 31.0772i | 0.0675311 | − | 1.42742i | ||||
\(475\) | −16.3246 | − | 11.1299i | −0.749025 | − | 0.510677i | ||||
\(476\) | 0.00451307 | + | 0.0376943i | 0.000206856 | + | 0.00172771i | ||||
\(477\) | −25.2127 | − | 2.39096i | −1.15441 | − | 0.109475i | ||||
\(478\) | 12.6594 | + | 1.90810i | 0.579029 | + | 0.0872746i | ||||
\(479\) | −29.2725 | − | 14.0969i | −1.33749 | − | 0.644104i | −0.377994 | − | 0.925808i | \(-0.623386\pi\) |
−0.959501 | + | 0.281705i | \(0.909100\pi\) | |||||||
\(480\) | 9.24055e−5 | − | 0.00195320i | 4.21772e−6 | − | 8.91511e-5i | ||||
\(481\) | 12.7307 | − | 6.13076i | 0.580468 | − | 0.279539i | ||||
\(482\) | 38.9562 | + | 12.0164i | 1.77441 | + | 0.547332i | ||||
\(483\) | 26.8086 | − | 21.2517i | 1.21984 | − | 0.966985i | ||||
\(484\) | −0.0339632 | + | 0.0104762i | −0.00154378 | + | 0.000476193i | ||||
\(485\) | 0.0100322 | − | 0.00930851i | 0.000455538 | − | 0.000422678i | ||||
\(486\) | 22.5216 | + | 0.269666i | 1.02160 | + | 0.0122323i | ||||
\(487\) | −8.33379 | − | 2.57063i | −0.377640 | − | 0.116487i | 0.100123 | − | 0.994975i | \(-0.468076\pi\) |
−0.477764 | + | 0.878488i | \(0.658552\pi\) | |||||||
\(488\) | −34.2422 | + | 23.3460i | −1.55007 | + | 1.05682i | ||||
\(489\) | −1.99972 | + | 0.357952i | −0.0904306 | + | 0.0161871i | ||||
\(490\) | 0.0201200 | + | 0.0112458i | 0.000908930 | + | 0.000508032i | ||||
\(491\) | 9.43845 | − | 16.3479i | 0.425951 | − | 0.737769i | −0.570557 | − | 0.821258i | \(-0.693273\pi\) |
0.996509 | + | 0.0834883i | \(0.0266061\pi\) | |||||||
\(492\) | 0.275891 | − | 0.270495i | 0.0124381 | − | 0.0121949i | ||||
\(493\) | −0.144193 | − | 0.631752i | −0.00649414 | − | 0.0284527i | ||||
\(494\) | −13.4703 | + | 2.03033i | −0.606059 | + | 0.0913487i | ||||
\(495\) | −0.0100495 | + | 0.0198551i | −0.000451690 | + | 0.000892420i | ||||
\(496\) | 5.32171 | − | 23.3160i | 0.238952 | − | 1.04692i | ||||
\(497\) | 14.8545 | − | 15.0628i | 0.666317 | − | 0.675659i | ||||
\(498\) | 40.0725 | + | 4.91627i | 1.79569 | + | 0.220303i | ||||
\(499\) | −19.1671 | + | 9.23041i | −0.858039 | + | 0.413210i | −0.810555 | − | 0.585662i | \(-0.800835\pi\) |
−0.0474839 | + | 0.998872i | \(0.515120\pi\) | |||||||
\(500\) | −0.00190840 | 0.000588663i | −8.53461e−5 | 2.63258e-5i | ||||||
\(501\) | 6.36883 | + | 24.7436i | 0.284538 | + | 1.10546i | ||||
\(502\) | 0.914667 | + | 2.33053i | 0.0408236 | + | 0.104017i | ||||
\(503\) | −9.41255 | − | 4.53285i | −0.419685 | − | 0.202110i | 0.212109 | − | 0.977246i | \(-0.431967\pi\) |
−0.631794 | + | 0.775136i | \(0.717681\pi\) | |||||||
\(504\) | −21.8232 | + | 2.17666i | −0.972084 | + | 0.0969561i | ||||
\(505\) | −0.0254834 | + | 0.0122721i | −0.00113400 | + | 0.000546103i | ||||
\(506\) | 25.7363 | + | 23.8798i | 1.14412 | + | 1.06159i | ||||
\(507\) | −6.02421 | + | 11.1309i | −0.267544 | + | 0.494340i | ||||
\(508\) | 0.700375 | + | 1.21309i | 0.0310741 | + | 0.0538220i | ||||
\(509\) | −19.7042 | −0.873373 | −0.436687 | − | 0.899614i | \(-0.643848\pi\) | ||||
−0.436687 | + | 0.899614i | \(0.643848\pi\) | |||||||
\(510\) | 0.000444488 | 0 | 0.000821279i | 1.96823e−5 | 0 | 3.63668e-5i | ||||
\(511\) | −19.2107 | + | 0.852767i | −0.849831 | + | 0.0377242i | ||||
\(512\) | −13.0724 | − | 16.3923i | −0.577724 | − | 0.724442i | ||||
\(513\) | −3.21806 | − | 20.2791i | −0.142081 | − | 0.895346i | ||||
\(514\) | −1.95457 | + | 26.0820i | −0.0862125 | + | 1.15043i | ||||
\(515\) | 0.0202460 | − | 0.00974998i | 0.000892147 | − | 0.000429635i | ||||
\(516\) | −0.0842290 | + | 0.422290i | −0.00370798 | + | 0.0185903i | ||||
\(517\) | −1.80358 | + | 0.271845i | −0.0793212 | + | 0.0119558i | ||||
\(518\) | 12.1778 | + | 19.0846i | 0.535061 | + | 0.838531i | ||||
\(519\) | 1.04559 | − | 0.0287874i | 0.0458961 | − | 0.00126362i | ||||
\(520\) | 0.00751220 | − | 0.0130115i | 0.000329432 | − | 0.000570592i | ||||
\(521\) | 7.01682 | − | 12.1535i | 0.307412 | − | 0.532454i | −0.670383 | − | 0.742015i | \(-0.733870\pi\) |
0.977796 | + | 0.209561i | \(0.0672036\pi\) | |||||||
\(522\) | −16.7963 | + | 3.48617i | −0.735154 | + | 0.152586i | ||||
\(523\) | −31.6589 | + | 9.76547i | −1.38435 | + | 0.427014i | −0.895386 | − | 0.445292i | \(-0.853100\pi\) |
−0.488960 | + | 0.872306i | \(0.662624\pi\) | |||||||
\(524\) | −1.19130 | − | 0.812215i | −0.0520422 | − | 0.0354818i | ||||
\(525\) | 9.88133 | + | 20.6726i | 0.431257 | + | 0.902228i | ||||
\(526\) | −30.1417 | + | 20.5503i | −1.31424 | + | 0.896035i | ||||
\(527\) | 0.585835 | − | 0.734614i | 0.0255194 | − | 0.0320003i | ||||
\(528\) | −5.85668 | − | 22.7538i | −0.254879 | − | 0.990232i | ||||
\(529\) | −7.28319 | + | 31.9097i | −0.316660 | + | 1.38738i | ||||
\(530\) | 0.0229674 | + | 0.0156589i | 0.000997641 | + | 0.000680180i | ||||
\(531\) | 14.2013 | − | 0.782580i | 0.616283 | − | 0.0339611i | ||||
\(532\) | −0.243282 | − | 0.883298i | −0.0105476 | − | 0.0382958i | ||||
\(533\) | 5.80367 | − | 1.79020i | 0.251385 | − | 0.0775420i | ||||
\(534\) | −19.6154 | − | 2.40650i | −0.848841 | − | 0.104139i | ||||
\(535\) | −0.00460785 | + | 0.0117406i | −0.000199215 | + | 0.000507591i | ||||
\(536\) | 9.53788 | − | 8.84986i | 0.411974 | − | 0.382256i | ||||
\(537\) | −3.17977 | − | 12.3538i | −0.137217 | − | 0.533104i | ||||
\(538\) | −6.59780 | − | 11.4277i | −0.284452 | − | 0.492684i | ||||
\(539\) | 22.2815 | + | 4.76026i | 0.959733 | + | 0.205039i | ||||
\(540\) | −0.000902714 | 0 | 0.000511864i | −3.88466e−5 | 0 | 2.20271e-5i | ||||
\(541\) | 1.43509 | + | 19.1499i | 0.0616993 | + | 0.823320i | 0.939118 | + | 0.343595i | \(0.111645\pi\) |
−0.877419 | + | 0.479725i | \(0.840736\pi\) | |||||||
\(542\) | 1.19122 | + | 5.21908i | 0.0511673 | + | 0.224179i | ||||
\(543\) | 12.8546 | − | 4.35604i | 0.551645 | − | 0.186936i | ||||
\(544\) | 0.0180491 | + | 0.0790781i | 0.000773847 | + | 0.00339045i | ||||
\(545\) | 0.0298248 | + | 0.0276733i | 0.00127755 | + | 0.00118540i | ||||
\(546\) | 14.6889 | + | 5.81442i | 0.628627 | + | 0.248834i | ||||
\(547\) | 19.8549 | − | 18.4226i | 0.848933 | − | 0.787695i | −0.130077 | − | 0.991504i | \(-0.541523\pi\) |
0.979011 | + | 0.203809i | \(0.0653321\pi\) | |||||||
\(548\) | −0.222496 | − | 0.151695i | −0.00950455 | − | 0.00648010i | ||||
\(549\) | 5.82642 | + | 44.6178i | 0.248666 | + | 1.90424i | ||||
\(550\) | −19.4286 | + | 13.2462i | −0.828437 | + | 0.564819i | ||||
\(551\) | 5.71335 | + | 14.5574i | 0.243397 | + | 0.620165i | ||||
\(552\) | 25.5115 | − | 25.0126i | 1.08584 | − | 1.06461i | ||||
\(553\) | 30.2383 | + | 12.9430i | 1.28586 | + | 0.550394i | ||||
\(554\) | 3.33322 | − | 44.4788i | 0.141615 | − | 1.88972i | ||||
\(555\) | 0.00110470 | − | 0.0233503i | 4.68919e−5 | − | 0.000991167i | ||||
\(556\) | 0.289084 | − | 0.362500i | 0.0122599 | − | 0.0153734i | ||||
\(557\) | −16.7633 | + | 29.0349i | −0.710284 | + | 1.23025i | 0.254466 | + | 0.967082i | \(0.418100\pi\) |
−0.964750 | + | 0.263167i | \(0.915233\pi\) | |||||||
\(558\) | −19.1372 | − | 15.8897i | −0.810141 | − | 0.672663i | ||||
\(559\) | −4.22031 | + | 5.29210i | −0.178500 | + | 0.223832i | ||||
\(560\) | 0.0231015 | + | 0.00988823i | 0.000976216 | + | 0.000417854i | ||||
\(561\) | 0.180563 | − | 0.905269i | 0.00762337 | − | 0.0382205i | ||||
\(562\) | 7.60846 | + | 9.54071i | 0.320944 | + | 0.402451i | ||||
\(563\) | 13.1495 | + | 8.96521i | 0.554187 | + | 0.377838i | 0.807790 | − | 0.589470i | \(-0.200663\pi\) |
−0.253603 | + | 0.967308i | \(0.581616\pi\) | |||||||
\(564\) | −0.00868813 | − | 0.0846106i | −0.000365836 | − | 0.00356275i | ||||
\(565\) | 0.0324430 | − | 0.00489000i | 0.00136489 | − | 0.000205724i | ||||
\(566\) | −25.2451 | − | 31.6563i | −1.06113 | − | 1.33061i | ||||
\(567\) | −8.59153 | + | 22.2078i | −0.360810 | + | 0.932639i | ||||
\(568\) | 13.7752 | − | 17.2735i | 0.577994 | − | 0.724781i | ||||
\(569\) | 22.9608 | − | 39.7692i | 0.962566 | − | 1.66721i | 0.246548 | − | 0.969130i | \(-0.420704\pi\) |
0.716017 | − | 0.698082i | \(-0.245963\pi\) | |||||||
\(570\) | −0.00765315 | + | 0.0211976i | −0.000320555 | + | 0.000887872i | ||||
\(571\) | 7.87441 | + | 1.18688i | 0.329534 | + | 0.0496692i | 0.311725 | − | 0.950172i | \(-0.399093\pi\) |
0.0178082 | + | 0.999841i | \(0.494331\pi\) | |||||||
\(572\) | −0.151439 | + | 0.663498i | −0.00633198 | + | 0.0277422i | ||||
\(573\) | −6.12672 | − | 2.74539i | −0.255947 | − | 0.114690i | ||||
\(574\) | 3.95331 | + | 8.89170i | 0.165008 | + | 0.371132i | ||||
\(575\) | −33.6299 | − | 16.1953i | −1.40246 | − | 0.675390i | ||||
\(576\) | −22.3813 | + | 4.64537i | −0.932553 | + | 0.193557i | ||||
\(577\) | 20.3416 | − | 13.8687i | 0.846833 | − | 0.577361i | −0.0603117 | − | 0.998180i | \(-0.519209\pi\) |
0.907145 | + | 0.420819i | \(0.138257\pi\) | |||||||
\(578\) | 5.45709 | − | 23.9091i | 0.226985 | − | 0.994487i | ||||
\(579\) | 10.4989 | − | 7.58952i | 0.436317 | − | 0.315410i | ||||
\(580\) | 0.000755254 | 0 | 0.000232965i | 3.13602e−5 | 0 | 9.67335e-6i | ||||
\(581\) | −19.6811 | + | 37.8744i | −0.816511 | + | 1.57129i | ||||
\(582\) | 12.6453 | + | 8.12081i | 0.524164 | + | 0.336619i | ||||
\(583\) | 26.2569 | + | 8.09920i | 1.08745 | + | 0.335434i | ||||
\(584\) | −19.8583 | + | 2.99316i | −0.821742 | + | 0.123858i | ||||
\(585\) | −0.00892119 | − | 0.0136568i | −0.000368846 | − | 0.000564641i | ||||
\(586\) | 3.23324 | + | 43.1446i | 0.133564 | + | 1.78229i | ||||
\(587\) | −11.1669 | − | 19.3416i | −0.460906 | − | 0.798312i | 0.538100 | − | 0.842881i | \(-0.319142\pi\) |
−0.999006 | + | 0.0445683i | \(0.985809\pi\) | |||||||
\(588\) | −0.270837 | + | 1.02739i | −0.0111691 | + | 0.0423690i | ||||
\(589\) | −11.3379 | + | 19.6379i | −0.467172 | + | 0.809165i | ||||
\(590\) | −0.0140650 | − | 0.00677334i | −0.000579046 | − | 0.000278854i | ||||
\(591\) | 26.6514 | + | 3.26971i | 1.09629 | + | 0.134498i | ||||
\(592\) | 15.3884 | + | 19.2965i | 0.632460 | + | 0.793080i | ||||
\(593\) | 30.0346 | − | 27.8680i | 1.23337 | − | 1.14440i | 0.248964 | − | 0.968513i | \(-0.419910\pi\) |
0.984410 | − | 0.175891i | \(-0.0562805\pi\) | |||||||
\(594\) | −23.8659 | − | 5.25232i | −0.979228 | − | 0.215505i | ||||
\(595\) | 0.000649178 | 0 | 0.000743823i | 2.66137e−5 | 0 | 3.04938e-5i | ||||
\(596\) | −0.474997 | + | 0.440733i | −0.0194566 | + | 0.0180531i | ||||
\(597\) | −4.80519 | − | 2.15321i | −0.196663 | − | 0.0881250i | ||||
\(598\) | −24.5922 | + | 7.58569i | −1.00565 | + | 0.310202i | ||||
\(599\) | −0.805020 | − | 10.7422i | −0.0328922 | − | 0.438916i | −0.989202 | − | 0.146560i | \(-0.953180\pi\) |
0.956310 | − | 0.292356i | \(-0.0944392\pi\) | |||||||
\(600\) | 12.5304 | + | 20.3862i | 0.511552 | + | 0.832262i | ||||
\(601\) | 1.30186 | + | 17.3721i | 0.0531039 | + | 0.708623i | 0.958689 | + | 0.284457i | \(0.0918134\pi\) |
−0.905585 | + | 0.424165i | \(0.860568\pi\) | |||||||
\(602\) | −9.22268 | − | 5.70584i | −0.375888 | − | 0.232553i | ||||
\(603\) | −3.89652 | − | 13.5787i | −0.158679 | − | 0.552966i | ||||
\(604\) | 0.275938 | − | 0.0851157i | 0.0112278 | − | 0.00346331i | ||||
\(605\) | −0.000576294 | 0 | 0.000722650i | −2.34297e−5 | 0 | 2.93799e-5i | ||||
\(606\) | −20.0264 | − | 23.7413i | −0.813516 | − | 0.964423i | ||||
\(607\) | 3.10012 | 0.125830 | 0.0629151 | − | 0.998019i | \(-0.479960\pi\) | ||||
0.0629151 | + | 0.998019i | \(0.479960\pi\) | |||||||
\(608\) | −0.715156 | − | 1.82219i | −0.0290034 | − | 0.0738995i | ||||
\(609\) | 2.75522 | − | 17.9252i | 0.111647 | − | 0.726364i | ||||
\(610\) | 0.0180435 | − | 0.0459742i | 0.000730561 | − | 0.00186144i | ||||
\(611\) | 0.488465 | − | 1.24459i | 0.0197612 | − | 0.0503507i | ||||
\(612\) | 0.0417699 | + | 0.0104057i | 0.00168845 | + | 0.000420624i | ||||
\(613\) | −0.259045 | + | 3.45672i | −0.0104627 | + | 0.139615i | −0.999989 | − | 0.00473903i | \(-0.998492\pi\) |
0.989526 | + | 0.144354i | \(0.0461106\pi\) | |||||||
\(614\) | −1.61977 | + | 0.244141i | −0.0653685 | + | 0.00985272i | ||||
\(615\) | 0.00196542 | − | 0.00985383i | 7.92535e−5 | − | 0.000397345i | ||||
\(616\) | 23.6634 | + | 2.49953i | 0.953424 | + | 0.100709i | ||||
\(617\) | 5.23285 | + | 13.3331i | 0.210667 | + | 0.536770i | 0.996678 | − | 0.0814420i | \(-0.0259525\pi\) |
−0.786011 | + | 0.618212i | \(0.787857\pi\) | |||||||
\(618\) | 15.9106 | + | 18.8620i | 0.640017 | + | 0.758739i | ||||
\(619\) | 21.7113 | 0.872650 | 0.436325 | − | 0.899789i | \(-0.356280\pi\) | ||||
0.436325 | + | 0.899789i | \(0.356280\pi\) | |||||||
\(620\) | 0.000418697 | 0.00106682i | 1.68153e−5 | 4.28446e-5i | ||||||
\(621\) | −11.7217 | − | 36.9773i | −0.470374 | − | 1.48385i | ||||
\(622\) | 29.1218 | − | 14.0243i | 1.16768 | − | 0.562324i | ||||
\(623\) | 9.63385 | − | 18.5394i | 0.385972 | − | 0.742765i | ||||
\(624\) | 16.5912 | + | 4.62167i | 0.664180 | + | 0.185015i | ||||
\(625\) | 15.5872 | − | 19.5457i | 0.623488 | − | 0.781829i | ||||
\(626\) | 1.07626 | + | 14.3617i | 0.0430161 | + | 0.574010i | ||||
\(627\) | −1.05277 | + | 22.2527i | −0.0420435 | + | 0.888686i | ||||
\(628\) | −0.0456113 | + | 0.608640i | −0.00182009 | + | 0.0242874i | ||||
\(629\) | 0.215775 | + | 0.945371i | 0.00860350 | + | 0.0376944i | ||||
\(630\) | 0.0200266 | − | 0.0167933i | 0.000797877 | − | 0.000669062i | ||||
\(631\) | −8.51568 | + | 37.3096i | −0.339004 | + | 1.48527i | 0.462143 | + | 0.886806i | \(0.347081\pi\) |
−0.801147 | + | 0.598468i | \(0.795776\pi\) | |||||||
\(632\) | 32.8248 | + | 10.1251i | 1.30570 | + | 0.402755i | ||||
\(633\) | 2.94246 | − | 14.7523i | 0.116952 | − | 0.586350i | ||||
\(634\) | −4.24654 | + | 3.94021i | −0.168652 | + | 0.156486i | ||||
\(635\) | 0.0328202 | + | 0.0158054i | 0.00130243 | + | 0.000627217i | ||||
\(636\) | −0.435127 | + | 1.20521i | −0.0172539 | + | 0.0477898i | ||||
\(637\) | −11.1884 | + | 12.4001i | −0.443302 | + | 0.491311i | ||||
\(638\) | 18.6119 | 0.736851 | ||||||||
\(639\) | −9.97910 | − | 21.8136i | −0.394767 | − | 0.862933i | ||||
\(640\) | 0.0261321 | + | 0.00806070i | 0.00103296 | + | 0.000318627i | ||||
\(641\) | −22.9975 | − | 28.8379i | −0.908346 | − | 1.13903i | −0.989816 | − | 0.142354i | \(-0.954533\pi\) |
0.0814702 | − | 0.996676i | \(-0.474038\pi\) | |||||||
\(642\) | −13.7469 | − | 1.68653i | −0.542548 | − | 0.0665622i | ||||
\(643\) | 17.5130 | + | 16.2497i | 0.690644 | + | 0.640824i | 0.945298 | − | 0.326208i | \(-0.105771\pi\) |
−0.254654 | + | 0.967032i | \(0.581961\pi\) | |||||||
\(644\) | −0.703184 | − | 1.58159i | −0.0277093 | − | 0.0623232i | ||||
\(645\) | 0.00437655 | + | 0.0103077i | 0.000172326 | + | 0.000405864i | ||||
\(646\) | 0.0698619 | − | 0.932243i | 0.00274868 | − | 0.0366786i | ||||
\(647\) | 27.7151 | + | 25.7159i | 1.08959 | + | 1.01100i | 0.999887 | + | 0.0150273i | \(0.00478351\pi\) |
0.0897069 | + | 0.995968i | \(0.471407\pi\) | |||||||
\(648\) | −6.48670 | + | 24.0071i | −0.254822 | + | 0.943087i | ||||
\(649\) | −15.2590 | − | 2.29992i | −0.598967 | − | 0.0902797i | ||||
\(650\) | −1.28811 | − | 17.1886i | −0.0505238 | − | 0.674194i | ||||
\(651\) | 22.8121 | − | 13.0821i | 0.894075 | − | 0.512727i | ||||
\(652\) | −0.00768105 | + | 0.102496i | −0.000300813 | + | 0.00401407i | ||||
\(653\) | −4.65927 | + | 20.4136i | −0.182331 | + | 0.798846i | 0.798186 | + | 0.602412i | \(0.205793\pi\) |
−0.980517 | + | 0.196434i | \(0.937064\pi\) | |||||||
\(654\) | −21.2656 | + | 39.2923i | −0.831550 | + | 1.53645i | ||||
\(655\) | −0.0374961 | −0.00146509 | ||||||||
\(656\) | 5.30436 | + | 9.18741i | 0.207100 | + | 0.358708i | ||||
\(657\) | −6.83715 | + | 20.7047i | −0.266743 | + | 0.807765i | ||||
\(658\) | 2.07297 | + | 0.540013i | 0.0808127 | + | 0.0210519i | ||||
\(659\) | −0.524069 | + | 1.33531i | −0.0204148 | + | 0.0520162i | −0.940718 | − | 0.339190i | \(-0.889847\pi\) |
0.920303 | + | 0.391206i | \(0.127942\pi\) | |||||||
\(660\) | 0.000846116 | 0 | 0.000742810i | 3.29350e−5 | 0 | 2.89138e-5i | ||||
\(661\) | −14.9246 | − | 10.1754i | −0.580500 | − | 0.395778i | 0.237168 | − | 0.971469i | \(-0.423781\pi\) |
−0.817668 | + | 0.575690i | \(0.804733\pi\) | |||||||
\(662\) | −5.51554 | − | 3.76043i | −0.214368 | − | 0.146153i | ||||
\(663\) | 0.508507 | + | 0.446420i | 0.0197488 | + | 0.0173375i | ||||
\(664\) | −16.2855 | + | 41.4947i | −0.631998 | + | 1.61030i | ||||
\(665\) | −0.0181673 | − | 0.0154155i | −0.000704500 | − | 0.000597786i | ||||
\(666\) | 25.1345 | − | 5.21681i | 0.973941 | − | 0.202147i | ||||
\(667\) | 14.7720 | + | 25.5859i | 0.571975 | + | 0.990690i | ||||
\(668\) | 1.29270 | 0.0500162 | ||||||||
\(669\) | 13.8896 | − | 25.6637i | 0.537003 | − | 0.992217i | ||||
\(670\) | −0.00345028 | + | 0.0151167i | −0.000133296 | + | 0.000584008i | ||||
\(671\) | 3.64832 | − | 48.6834i | 0.140842 | − | 1.87940i | ||||
\(672\) | −0.344878 | + | 2.24374i | −0.0133040 | + | 0.0865543i | ||||
\(673\) | −3.71567 | − | 49.5822i | −0.143229 | − | 1.91125i | −0.356559 | − | 0.934273i | \(-0.616050\pi\) |
0.213330 | − | 0.976980i | \(-0.431569\pi\) | |||||||
\(674\) | 44.6282 | + | 6.72663i | 1.71902 | + | 0.259100i | ||||
\(675\) | 25.8922 | − | 2.14295i | 0.996592 | − | 0.0824820i | ||||
\(676\) | 0.469414 | + | 0.435553i | 0.0180544 | + | 0.0167520i | ||||
\(677\) | 2.26839 | − | 30.2696i | 0.0871814 | − | 1.16335i | −0.766389 | − | 0.642377i | \(-0.777948\pi\) |
0.853570 | − | 0.520978i | \(-0.174433\pi\) | |||||||
\(678\) | 14.0808 | + | 33.1633i | 0.540771 | + | 1.27363i | ||||
\(679\) | −12.7175 | + | 9.52343i | −0.488055 | + | 0.365476i | ||||
\(680\) | 0.000755824 | 0 | 0.000701302i | 2.89845e−5 | 0 | 2.68937e-5i | ||||
\(681\) | 48.0604 | + | 5.89625i | 1.84168 | + | 0.225945i | ||||
\(682\) | 16.8264 | + | 21.0996i | 0.644316 | + | 0.807947i | ||||
\(683\) | 21.2928 | + | 6.56797i | 0.814747 | + | 0.251316i | 0.674002 | − | 0.738730i | \(-0.264574\pi\) |
0.140745 | + | 0.990046i | \(0.455050\pi\) | |||||||
\(684\) | −1.03422 | − | 0.0980769i | −0.0395444 | − | 0.00375006i | ||||
\(685\) | −0.00700305 | −0.000267573 | ||||||||
\(686\) | −21.8576 | − | 15.4371i | −0.834526 | − | 0.589392i | ||||
\(687\) | 4.64351 | − | 12.8616i | 0.177161 | − | 0.490699i | ||||
\(688\) | −10.6524 | − | 5.12994i | −0.406120 | − | 0.195577i | ||||
\(689\) | −14.7651 | + | 13.7000i | −0.562507 | + | 0.521930i | ||||
\(690\) | −0.00832820 | + | 0.0417542i | −0.000317049 | + | 0.00158955i | ||||
\(691\) | 13.7690 | + | 4.24717i | 0.523797 | + | 0.161570i | 0.545367 | − | 0.838197i | \(-0.316390\pi\) |
−0.0215702 | + | 0.999767i | \(0.506867\pi\) | |||||||
\(692\) | 0.0117761 | − | 0.0515945i | 0.000447661 | − | 0.00196133i | ||||
\(693\) | 14.0237 | − | 21.6976i | 0.532715 | − | 0.824223i | ||||
\(694\) | −7.78899 | − | 34.1258i | −0.295666 | − | 1.29540i | ||||
\(695\) | 0.000901075 | − | 0.0120240i | 3.41797e−5 | − | 0.000456097i | ||||
\(696\) | 0.895052 | − | 18.9190i | 0.0339269 | − | 0.717122i | ||||
\(697\) | 0.0311475 | + | 0.415635i | 0.00117980 | + | 0.0157433i | ||||
\(698\) | −14.3106 | + | 17.9449i | −0.541663 | + | 0.679224i | ||||
\(699\) | −20.6906 | − | 5.76360i | −0.782590 | − | 0.217999i | ||||
\(700\) | 1.13754 | − | 0.223446i | 0.0429948 | − | 0.00844548i | ||||
\(701\) | 19.0167 | − | 9.15794i | 0.718249 | − | 0.345891i | −0.0388011 | − | 0.999247i | \(-0.512354\pi\) |
0.757051 | + | 0.653356i | \(0.226640\pi\) | |||||||
\(702\) | 12.0815 | − | 13.2255i | 0.455987 | − | 0.499166i | ||||
\(703\) | −8.54962 | − | 21.7841i | −0.322455 | − | 0.821602i | ||||
\(704\) | 24.8005 | 0.934705 | ||||||||
\(705\) | −0.00142619 | − | 0.00169075i | −5.37135e−5 | − | 6.36773e-5i | ||||
\(706\) | 5.71272 | + | 14.5558i | 0.215001 | + | 0.547813i | ||||
\(707\) | 30.9177 | − | 11.0607i | 1.16278 | − | 0.415982i | ||||
\(708\) | 0.140758 | − | 0.705702i | 0.00529000 | − | 0.0265219i | ||||
\(709\) | 2.99187 | − | 0.450952i | 0.112362 | − | 0.0169359i | −0.0926205 | − | 0.995701i | \(-0.529524\pi\) |
0.204983 | + | 0.978766i | \(0.434286\pi\) | |||||||
\(710\) | −0.00196757 | + | 0.0262554i | −7.38416e−5 | + | 0.000985347i | ||||
\(711\) | 25.9026 | − | 26.8335i | 0.971424 | − | 1.00634i | ||||
\(712\) | 7.97168 | − | 20.3115i | 0.298751 | − | 0.761206i | ||||
\(713\) | −15.6509 | + | 39.8779i | −0.586132 | + | 1.49344i | ||||
\(714\) | −0.613326 | + | 0.893978i | −0.0229532 | + | 0.0334563i | ||||
\(715\) | 0.00646600 | + | 0.0164751i | 0.000241815 | + | 0.000616134i | ||||
\(716\) | −0.645410 | −0.0241201 | ||||||||
\(717\) | 9.89535 | + | 11.7309i | 0.369549 | + | 0.438100i | ||||
\(718\) | −14.7348 | + | 18.4769i | −0.549898 | + | 0.689550i | ||||
\(719\) | 10.8142 | − | 3.33574i | 0.403302 | − | 0.124402i | −0.0864663 | − | 0.996255i | \(-0.527557\pi\) |
0.489769 | + | 0.871853i | \(0.337081\pi\) | |||||||
\(720\) | 0.0197891 | − | 0.0205003i | 0.000737497 | − | 0.000764002i | ||||
\(721\) | −24.5635 | + | 8.78753i | −0.914792 | + | 0.327265i | ||||
\(722\) | −0.365516 | − | 4.87748i | −0.0136031 | − | 0.181521i | ||||
\(723\) | 25.5908 | + | 41.6345i | 0.951731 | + | 1.54840i | ||||
\(724\) | −0.0513177 | − | 0.684787i | −0.00190721 | − | 0.0254499i | ||||
\(725\) | −18.9085 | + | 5.83251i | −0.702245 | + | 0.216614i | ||||
\(726\) | −0.926254 | − | 0.415055i | −0.0343765 | − | 0.0154042i | ||||
\(727\) | 17.5285 | − | 16.2641i | 0.650098 | − | 0.603202i | −0.284600 | − | 0.958646i | \(-0.591861\pi\) |
0.934698 | + | 0.355444i | \(0.115670\pi\) | |||||||
\(728\) | −10.2598 | + | 14.1059i | −0.380252 | + | 0.522801i | ||||
\(729\) | 20.0756 | + | 18.0546i | 0.743541 | + | 0.668690i | ||||
\(730\) | 0.0175437 | − | 0.0162782i | 0.000649322 | − | 0.000602483i | ||||
\(731\) | −0.289623 | − | 0.363176i | −0.0107121 | − | 0.0134325i | ||||
\(732\) | 2.25966 | + | 0.277224i | 0.0835193 | + | 0.0102465i | ||||
\(733\) | −31.9843 | − | 15.4028i | −1.18137 | − | 0.568916i | −0.263057 | − | 0.964780i | \(-0.584731\pi\) |
−0.918309 | + | 0.395864i | \(0.870445\pi\) | |||||||
\(734\) | 2.21956 | − | 3.84439i | 0.0819253 | − | 0.141899i | ||||
\(735\) | 0.00923143 | + | 0.0260433i | 0.000340506 | + | 0.000960621i | ||||
\(736\) | −1.84906 | − | 3.20266i | −0.0681571 | − | 0.118052i | ||||
\(737\) | 1.14539 | + | 15.2841i | 0.0421909 | + | 0.562999i | ||||
\(738\) | 11.0171 | − | 0.607113i | 0.405546 | − | 0.0223481i | ||||
\(739\) | −8.27160 | + | 1.24674i | −0.304276 | + | 0.0458622i | −0.299405 | − | 0.954126i | \(-0.596788\pi\) |
−0.00487014 | + | 0.999988i | \(0.501550\pi\) | |||||||
\(740\) | −0.00113018 | 0.000348616i | −4.15464e−5 | 1.28154e-5i | ||||||
\(741\) | −13.7407 | − | 8.82427i | −0.504776 | − | 0.324168i | ||||
\(742\) | −24.6068 | − | 20.8795i | −0.903343 | − | 0.766509i | ||||
\(743\) | 14.5201 | + | 4.47885i | 0.532690 | + | 0.164313i | 0.549419 | − | 0.835547i | \(-0.314849\pi\) |
−0.0167289 | + | 0.999860i | \(0.505325\pi\) | |||||||
\(744\) | 22.2570 | − | 16.0894i | 0.815981 | − | 0.589864i | ||||
\(745\) | −0.00374971 | + | 0.0164286i | −0.000137379 | + | 0.000601896i | ||||
\(746\) | 11.7899 | − | 8.03825i | 0.431660 | − | 0.294301i | ||||
\(747\) | 32.2117 | + | 36.1212i | 1.17857 | + | 1.32160i | ||||
\(748\) | −0.0420790 | − | 0.0202642i | −0.00153856 | − | 0.000740932i | ||||
\(749\) | 6.75164 | − | 12.9929i | 0.246699 | − | 0.474749i | ||||
\(750\) | −0.0520464 | − | 0.0233221i | −0.00190047 | − | 0.000851601i | ||||
\(751\) | −3.15022 | + | 13.8020i | −0.114953 | + | 0.503643i | 0.884368 | + | 0.466791i | \(0.154590\pi\) |
−0.999321 | + | 0.0368517i | \(0.988267\pi\) | |||||||
\(752\) | 2.30930 | + | 0.348071i | 0.0842116 | + | 0.0126929i | ||||
\(753\) | −1.01917 | + | 2.82288i | −0.0371404 | + | 0.102871i | ||||
\(754\) | −6.82154 | + | 11.8152i | −0.248426 | + | 0.430286i | ||||
\(755\) | 0.00468218 | − | 0.00587127i | 0.000170402 | − | 0.000213677i | ||||
\(756\) | 0.979780 | + | 0.701045i | 0.0356342 | + | 0.0254967i | ||||
\(757\) | 12.5366 | + | 15.7204i | 0.455650 | + | 0.571367i | 0.955592 | − | 0.294692i | \(-0.0952170\pi\) |
−0.499943 | + | 0.866059i | \(0.666646\pi\) | |||||||
\(758\) | 34.5610 | − | 5.20924i | 1.25531 | − | 0.189208i | ||||
\(759\) | 4.29902 | + | 41.8666i | 0.156044 | + | 1.51966i | ||||
\(760\) | −0.0205594 | − | 0.0140171i | −0.000745767 | − | 0.000508455i | ||||
\(761\) | −3.00734 | − | 3.77109i | −0.109016 | − | 0.136702i | 0.724330 | − | 0.689453i | \(-0.242149\pi\) |
−0.833346 | + | 0.552752i | \(0.813578\pi\) | |||||||
\(762\) | −7.82457 | + | 39.2292i | −0.283454 | + | 1.42112i | ||||
\(763\) | −31.0585 | − | 35.5866i | −1.12439 | − | 1.28832i | ||||
\(764\) | −0.211787 | + | 0.265572i | −0.00766217 | + | 0.00960806i | ||||
\(765\) | 0.00104995 | 0.000388326i | 3.79610e−5 | 1.40400e-5i | ||||||
\(766\) | −24.8356 | + | 43.0165i | −0.897347 | + | 1.55425i | ||||
\(767\) | 7.05269 | − | 8.84379i | 0.254658 | − | 0.319331i | ||||
\(768\) | −0.171823 | + | 3.63188i | −0.00620014 | + | 0.131054i | ||||
\(769\) | 1.23636 | − | 16.4981i | 0.0445844 | − | 0.594938i | −0.929510 | − | 0.368797i | \(-0.879770\pi\) |
0.974095 | − | 0.226141i | \(-0.0726110\pi\) | |||||||
\(770\) | −0.0249776 | + | 0.0134243i | −0.000900129 | + | 0.000483778i | ||||
\(771\) | −22.3883 | + | 21.9505i | −0.806295 | + | 0.790527i | ||||
\(772\) | −0.239462 | − | 0.610138i | −0.00861841 | − | 0.0219593i | ||||
\(773\) | 31.8802 | − | 21.7355i | 1.14665 | − | 0.781772i | 0.167693 | − | 0.985839i | \(-0.446368\pi\) |
0.978957 | + | 0.204067i | \(0.0654160\pi\) | |||||||
\(774\) | −9.76379 | + | 7.47576i | −0.350952 | + | 0.268711i | ||||
\(775\) | −23.7067 | − | 16.1630i | −0.851570 | − | 0.580591i | ||||
\(776\) | −12.1634 | + | 11.2860i | −0.436642 | + | 0.405144i | ||||
\(777\) | −4.12299 | + | 26.8237i | −0.147911 | + | 0.962296i | ||||
\(778\) | 37.5637 | + | 34.8540i | 1.34672 | + | 1.24958i | ||||
\(779\) | −2.23829 | − | 9.80661i | −0.0801952 | − | 0.351358i | ||||
\(780\) | −0.000781667 | 0 | 0.000264883i | −2.79882e−5 | 0 | 9.48434e-6i | ||||
\(781\) | 5.79134 | + | 25.3735i | 0.207230 | + | 0.907936i | ||||
\(782\) | −0.131983 | − | 1.76119i | −0.00471970 | − | 0.0629801i | ||||
\(783\) | −17.8883 | − | 10.1432i | −0.639276 | − | 0.362487i | ||||
\(784\) | −25.4653 | − | 14.2334i | −0.909474 | − | 0.508336i | ||||
\(785\) | 0.00793628 | + | 0.0137460i | 0.000283258 | + | 0.000490617i | ||||
\(786\) | −10.2637 | − | 39.8755i | −0.366094 | − | 1.42231i | ||||
\(787\) | 29.5294 | − | 27.3993i | 1.05261 | − | 0.976680i | 0.0528512 | − | 0.998602i | \(-0.483169\pi\) |
0.999760 | + | 0.0219222i | \(0.00697862\pi\) | |||||||
\(788\) | 0.496328 | − | 1.26462i | 0.0176810 | − | 0.0450504i | ||||
\(789\) | −43.4062 | − | 5.32526i | −1.54530 | − | 0.189584i | ||||
\(790\) | −0.0391173 | + | 0.0120661i | −0.00139173 | + | 0.000429292i | ||||
\(791\) | −38.0525 | + | 1.68916i | −1.35299 | + | 0.0600595i | ||||
\(792\) | 12.1844 | − | 24.0731i | 0.432953 | − | 0.855401i | ||||
\(793\) | 29.5682 | + | 20.1592i | 1.05000 | + | 0.715876i | ||||
\(794\) | 2.43962 | − | 10.6887i | 0.0865790 | − | 0.379327i | ||||
\(795\) | 0.00830630 | + | 0.0322709i | 0.000294594 | + | 0.00114453i | ||||
\(796\) | −0.166104 | + | 0.208288i | −0.00588741 | + | 0.00738258i | ||||
\(797\) | 31.6209 | − | 21.5588i | 1.12007 | − | 0.763652i | 0.145864 | − | 0.989305i | \(-0.453404\pi\) |
0.974208 | + | 0.225653i | \(0.0724516\pi\) | |||||||
\(798\) | 11.4208 | − | 23.5398i | 0.404291 | − | 0.833301i | ||||
\(799\) | 0.0758105 | + | 0.0516867i | 0.00268198 | + | 0.00182854i | ||||
\(800\) | 2.36683 | − | 0.730071i | 0.0836802 | − | 0.0258119i | ||||
\(801\) | −15.7675 | − | 17.6812i | −0.557119 | − | 0.624734i | ||||
\(802\) | −8.39117 | + | 14.5339i | −0.296302 | + | 0.513211i | ||||
\(803\) | 11.8285 | − | 20.4876i | 0.417419 | − | 0.722991i | ||||
\(804\) | −0.714467 | + | 0.0196709i | −0.0251973 | + | 0.000693739i | ||||
\(805\) | −0.0382789 | − | 0.0236822i | −0.00134915 | − | 0.000834687i | ||||
\(806\) | −19.5617 | + | 2.94845i | −0.689031 | + | 0.103855i | ||||
\(807\) | 3.09416 | − | 15.5128i | 0.108920 | − | 0.546078i | ||||
\(808\) | 30.8971 | − | 14.8792i | 1.08696 | − | 0.523450i | ||||
\(809\) | −3.28287 | + | 43.8069i | −0.115420 | + | 1.54017i | 0.575841 | + | 0.817562i | \(0.304675\pi\) |
−0.691261 | + | 0.722606i | \(0.742944\pi\) | |||||||
\(810\) | −0.00972916 | − | 0.0279926i | −0.000341848 | − | 0.000983561i | ||||
\(811\) | 1.42262 | + | 1.78391i | 0.0499550 | + | 0.0626416i | 0.806181 | − | 0.591669i | \(-0.201531\pi\) |
−0.756226 | + | 0.654310i | \(0.772959\pi\) | |||||||
\(812\) | −0.843547 | − | 0.361067i | −0.0296027 | − | 0.0126710i | ||||
\(813\) | −3.05450 | + | 5.64378i | −0.107126 | + | 0.197936i | ||||
\(814\) | −27.8513 | −0.976188 | ||||||||
\(815\) | 0.00133649 | + | 0.00231487i | 4.68152e−5 | + | 8.10863e-5i | ||||
\(816\) | −0.562574 | + | 1.03947i | −0.0196940 | + | 0.0363886i | ||||
\(817\) | 8.21783 | + | 7.62503i | 0.287505 | + | 0.266766i | ||||
\(818\) | −22.7843 | + | 10.9723i | −0.796633 | + | 0.383638i | ||||
\(819\) | 8.63424 | + | 16.8551i | 0.301705 | + | 0.588963i | ||||
\(820\) | −0.000458029 | 0 | 0.000220575i | −1.59951e−5 | 0 | 7.70282e-6i | ||||
\(821\) | −9.82867 | − | 25.0430i | −0.343023 | − | 0.874008i | −0.993432 | − | 0.114424i | \(-0.963498\pi\) |
0.650409 | − | 0.759584i | \(-0.274597\pi\) | |||||||
\(822\) | −1.91692 | − | 7.44744i | −0.0668603 | − | 0.259759i | ||||
\(823\) | −37.2568 | + | 11.4922i | −1.29869 | + | 0.400593i | −0.865591 | − | 0.500752i | \(-0.833057\pi\) |
−0.433101 | + | 0.901346i | \(0.642581\pi\) | |||||||
\(824\) | −24.5471 | + | 11.8213i | −0.855139 | + | 0.411813i | ||||
\(825\) | −27.9785 | − | 3.43253i | −0.974087 | − | 0.119505i | ||||
\(826\) | 15.4123 | + | 9.53519i | 0.536263 | + | 0.331772i | ||||
\(827\) | 9.56539 | − | 41.9087i | 0.332621 | − | 1.45731i | −0.481414 | − | 0.876493i | \(-0.659877\pi\) |
0.814035 | − | 0.580815i | \(-0.197266\pi\) | |||||||
\(828\) | −1.95964 | + | 0.107988i | −0.0681022 | + | 0.00375286i | ||||
\(829\) | 22.0283 | − | 3.32024i | 0.765076 | − | 0.115317i | 0.245100 | − | 0.969498i | \(-0.421179\pi\) |
0.519975 | + | 0.854181i | \(0.325941\pi\) | |||||||
\(830\) | −0.0118206 | − | 0.0517894i | −0.000410298 | − | 0.00179763i | ||||
\(831\) | 38.1798 | − | 37.4332i | 1.32444 | − | 1.29854i | ||||
\(832\) | −9.08977 | + | 15.7439i | −0.315131 | + | 0.545823i | ||||
\(833\) | −0.658780 | − | 0.937927i | −0.0228254 | − | 0.0324972i | ||||
\(834\) | 13.0337 | − | 2.33304i | 0.451319 | − | 0.0807865i | ||||
\(835\) | 0.0277763 | − | 0.0189376i | 0.000961240 | − | 0.000655362i | ||||
\(836\) | 1.07706 | + | 0.332228i | 0.0372507 | + | 0.0114903i | ||||
\(837\) | −4.67328 | − | 29.4495i | −0.161532 | − | 1.01792i | ||||
\(838\) | −4.31661 | + | 4.00523i | −0.149115 | + | 0.138358i | ||||
\(839\) | −4.18744 | + | 1.29165i | −0.144567 | + | 0.0445929i | −0.366194 | − | 0.930539i | \(-0.619339\pi\) |
0.221627 | + | 0.975131i | \(0.428863\pi\) | |||||||
\(840\) | 0.0124446 | + | 0.0260353i | 0.000429381 | + | 0.000898303i | ||||
\(841\) | −12.7454 | − | 3.93143i | −0.439496 | − | 0.135567i | ||||
\(842\) | −32.7445 | + | 15.7689i | −1.12845 | + | 0.543433i | ||||
\(843\) | −0.691300 | + | 14.6122i | −0.0238096 | + | 0.503271i | ||||
\(844\) | −0.685721 | − | 0.330226i | −0.0236035 | − | 0.0113668i | ||||
\(845\) | 0.0164670 | + | 0.00248200i | 0.000566482 | + | 8.53834e-5i | ||||
\(846\) | 1.40765 | − | 1.97950i | 0.0483961 | − | 0.0680565i | ||||
\(847\) | 0.753471 | − | 0.764035i | 0.0258896 | − | 0.0262525i | ||||
\(848\) | −29.0691 | − | 19.8190i | −0.998238 | − | 0.680587i | ||||
\(849\) | 2.29375 | − | 48.4836i | 0.0787212 | − | 1.66395i | ||||
\(850\) | 1.16968 | + | 0.176301i | 0.0401198 | + | 0.00604709i | ||||
\(851\) | −22.1053 | − | 38.2875i | −0.757759 | − | 1.31248i | ||||
\(852\) | −1.19467 | + | 0.213847i | −0.0409288 | + | 0.00732629i | ||||
\(853\) | 10.9606 | + | 1.65205i | 0.375285 | + | 0.0565651i | 0.333977 | − | 0.942581i | \(-0.391609\pi\) |
0.0413083 | + | 0.999146i | \(0.486847\pi\) | |||||||
\(854\) | −26.4382 | + | 50.8777i | −0.904697 | + | 1.74100i | ||||
\(855\) | −0.0236591 | + | 0.0130435i | −0.000809123 | + | 0.000446079i | ||||
\(856\) | 5.58675 | − | 14.2348i | 0.190951 | − | 0.486535i | ||||
\(857\) | 17.1284 | − | 8.24863i | 0.585097 | − | 0.281768i | −0.117826 | − | 0.993034i | \(-0.537592\pi\) |
0.702922 | + | 0.711267i | \(0.251878\pi\) | |||||||
\(858\) | −15.7506 | + | 11.3860i | −0.537718 | + | 0.388711i | ||||
\(859\) | −20.6928 | − | 25.9480i | −0.706029 | − | 0.885333i | 0.291428 | − | 0.956593i | \(-0.405870\pi\) |
−0.997458 | + | 0.0712597i | \(0.977298\pi\) | |||||||
\(860\) | 0.000560250 | 0 | 8.44440e-5i | 1.91044e−5 | 0 | 2.87952e-6i | ||||
\(861\) | −3.47080 | + | 11.1368i | −0.118285 | + | 0.379540i | ||||
\(862\) | 34.4257 | + | 5.18883i | 1.17254 | + | 0.176732i | ||||
\(863\) | −3.02196 | − | 5.23419i | −0.102869 | − | 0.178174i | 0.809997 | − | 0.586434i | \(-0.199469\pi\) |
−0.912865 | + | 0.408261i | \(0.866136\pi\) | |||||||
\(864\) | 2.23913 | + | 1.26965i | 0.0761767 | + | 0.0431943i | ||||
\(865\) | −0.000502806 | − | 0.00128113i | −1.70959e−5 | − | 4.35597e-5i | ||||
\(866\) | −29.7117 | − | 27.5684i | −1.00964 | − | 0.936813i | ||||
\(867\) | 23.8251 | − | 17.2230i | 0.809144 | − | 0.584922i | ||||
\(868\) | −0.353295 | − | 1.28273i | −0.0119916 | − | 0.0435387i | ||||
\(869\) | −33.4337 | + | 22.7947i | −1.13416 | + | 0.773257i | ||||
\(870\) | 0.0118192 | + | 0.0192290i | 0.000400707 | + | 0.000651925i | ||||
\(871\) | −10.1225 | − | 4.87476i | −0.342989 | − | 0.165175i | ||||
\(872\) | −36.1607 | − | 33.5523i | −1.22456 | − | 1.13622i | ||||
\(873\) | 4.96914 | + | 17.3165i | 0.168180 | + | 0.586076i | ||||
\(874\) | 9.48445 | + | 41.5541i | 0.320816 | + | 1.40559i | ||||
\(875\) | 0.0423377 | − | 0.0429313i | 0.00143128 | − | 0.00145134i | ||||
\(876\) | 0.928255 | + | 0.596127i | 0.0313628 | + | 0.0201413i | ||||
\(877\) | −8.79982 | − | 38.5545i | −0.297149 | − | 1.30189i | −0.874352 | − | 0.485293i | \(-0.838713\pi\) |
0.577203 | − | 0.816601i | \(-0.304144\pi\) | |||||||
\(878\) | −19.6997 | + | 50.1939i | −0.664831 | + | 1.69396i | ||||
\(879\) | −31.2092 | + | 41.4245i | −1.05266 | + | 1.39721i | ||||
\(880\) | −0.0255427 | + | 0.0174147i | −0.000861044 | + | 0.000587050i | ||||
\(881\) | 1.64405 | 0.0553895 | 0.0276947 | − | 0.999616i | \(-0.491183\pi\) | ||||
0.0276947 | + | 0.999616i | \(0.491183\pi\) | |||||||
\(882\) | −25.1690 | + | 16.9460i | −0.847485 | + | 0.570601i | ||||
\(883\) | −17.2170 | −0.579398 | −0.289699 | − | 0.957118i | \(-0.593555\pi\) | ||||
−0.289699 | + | 0.957118i | \(0.593555\pi\) | |||||||
\(884\) | 0.0282868 | − | 0.0192856i | 0.000951388 | − | 0.000648645i | ||||
\(885\) | −0.00731378 | − | 0.0172255i | −0.000245850 | − | 0.000579028i | ||||
\(886\) | 1.76230 | − | 4.49027i | 0.0592056 | − | 0.150853i | ||||
\(887\) | 7.36424 | + | 32.2648i | 0.247267 | + | 1.08335i | 0.934235 | + | 0.356659i | \(0.116084\pi\) |
−0.686968 | + | 0.726688i | \(0.741059\pi\) | |||||||
\(888\) | −1.33938 | + | 28.3109i | −0.0449467 | + | 0.950051i | ||||
\(889\) | −35.9641 | − | 22.2501i | −1.20620 | − | 0.746243i | ||||
\(890\) | 0.00578614 | + | 0.0253507i | 0.000193952 | + | 0.000849759i | ||||
\(891\) | −17.3460 | − | 23.6065i | −0.581112 | − | 0.790847i | ||||
\(892\) | −1.08230 | − | 1.00422i | −0.0362380 | − | 0.0336239i | ||||
\(893\) | −1.99504 | − | 0.960762i | −0.0667615 | − | 0.0321507i | ||||
\(894\) | −18.4975 | + | 0.509277i | −0.618648 | + | 0.0170328i | ||||
\(895\) | −0.0138679 | + | 0.00945500i | −0.000463554 | + | 0.000316046i | ||||
\(896\) | −29.1871 | − | 12.4931i | −0.975072 | − | 0.417364i | ||||
\(897\) | −28.1535 | − | 12.6156i | −0.940019 | − | 0.421224i | ||||
\(898\) | 14.8691 | + | 13.7965i | 0.496188 | + | 0.460395i | ||||
\(899\) | 8.29695 | + | 21.1403i | 0.276719 | + | 0.705068i | ||||
\(900\) | 0.221545 | − | 1.29569i | 0.00738485 | − | 0.0431896i | ||||
\(901\) | −0.691133 | − | 1.19708i | −0.0230250 | − | 0.0398804i | ||||
\(902\) | −11.8377 | − | 1.78424i | −0.394151 | − | 0.0594087i | ||||
\(903\) | −3.79579 | − | 12.4341i | −0.126316 | − | 0.413782i | ||||
\(904\) | −39.3353 | + | 5.92884i | −1.30827 | + | 0.197190i | ||||
\(905\) | −0.0111345 | − | 0.0139622i | −0.000370124 | − | 0.000464120i | ||||
\(906\) | 7.52548 | + | 3.37218i | 0.250017 | + | 0.112033i | ||||
\(907\) | −25.1055 | + | 12.0902i | −0.833615 | + | 0.401448i | −0.801470 | − | 0.598035i | \(-0.795948\pi\) |
−0.0321452 | + | 0.999483i | \(0.510234\pi\) | |||||||
\(908\) | 0.895027 | − | 2.28049i | 0.0297025 | − | 0.0756808i | ||||
\(909\) | 0.735278 | − | 37.2260i | 0.0243876 | − | 1.23471i | ||||
\(910\) | 0.000632608 | − | 0.0207766i | 2.09708e−5 | − | 0.000688736i | ||||
\(911\) | −27.7326 | − | 4.18001i | −0.918822 | − | 0.138490i | −0.327431 | − | 0.944875i | \(-0.606183\pi\) |
−0.591391 | + | 0.806385i | \(0.701421\pi\) | |||||||
\(912\) | 9.68634 | − | 26.8292i | 0.320747 | − | 0.888403i | ||||
\(913\) | −26.2550 | − | 45.4750i | −0.868913 | − | 1.50500i | ||||
\(914\) | 33.2681 | + | 5.01436i | 1.10041 | + | 0.165860i | ||||
\(915\) | 0.0526145 | − | 0.0271463i | 0.00173938 | − | 0.000897430i | ||||
\(916\) | −0.571626 | − | 0.389728i | −0.0188871 | − | 0.0128770i | ||||
\(917\) | 43.2900 | + | 4.57268i | 1.42956 | + | 0.151003i | ||||
\(918\) | 0.700368 | + | 1.01028i | 0.0231156 | + | 0.0333443i | ||||
\(919\) | −46.5251 | − | 7.01254i | −1.53472 | − | 0.231322i | −0.673361 | − | 0.739314i | \(-0.735150\pi\) |
−0.861362 | + | 0.507992i | \(0.830388\pi\) | |||||||
\(920\) | −0.0423538 | − | 0.0203965i | −0.00139636 | − | 0.000672452i | ||||
\(921\) | −1.65227 | − | 1.06109i | −0.0544443 | − | 0.0349642i | ||||
\(922\) | 37.0795 | − | 17.8565i | 1.22115 | − | 0.588074i | ||||
\(923\) | −18.2303 | − | 5.62331i | −0.600058 | − | 0.185093i | ||||
\(924\) | −0.886272 | − | 0.960773i | −0.0291562 | − | 0.0316071i | ||||
\(925\) | 28.2952 | − | 8.72793i | 0.930342 | − | 0.286972i | ||||
\(926\) | −34.7876 | + | 32.2781i | −1.14319 | + | 1.06073i | ||||
\(927\) | −0.584164 | + | 29.5753i | −0.0191865 | + | 0.971380i | ||||
\(928\) | −1.87336 | − | 0.577856i | −0.0614962 | − | 0.0189691i | ||||
\(929\) | −14.8755 | + | 10.1419i | −0.488049 | + | 0.332746i | −0.782215 | − | 0.623008i | \(-0.785910\pi\) |
0.294166 | + | 0.955754i | \(0.404958\pi\) | |||||||
\(930\) | −0.0111139 | + | 0.0307833i | −0.000364440 | + | 0.00100943i | ||||
\(931\) | 19.0947 | + | 20.0130i | 0.625802 | + | 0.655899i | ||||
\(932\) | −0.543348 | + | 0.941106i | −0.0177979 | + | 0.0308269i | ||||
\(933\) | 37.3262 | + | 10.3976i | 1.22201 | + | 0.340403i | ||||
\(934\) | 4.58132 | + | 20.0721i | 0.149905 | + | 0.656779i | ||||
\(935\) | −0.00120101 | 0.000181024i | −3.92774e−5 | 5.92011e-6i | ||||||
\(936\) | 10.8164 | + | 16.5581i | 0.353546 | + | 0.541219i | ||||
\(937\) | 11.4663 | − | 50.2371i | 0.374587 | − | 1.64117i | −0.339129 | − | 0.940740i | \(-0.610132\pi\) |
0.713716 | − | 0.700435i | \(-0.247011\pi\) | |||||||
\(938\) | 5.82691 | − | 17.0317i | 0.190255 | − | 0.556106i | ||||
\(939\) | −10.3887 | + | 13.7891i | −0.339023 | + | 0.449992i | ||||
\(940\) | −0.000100830 | 0 | 4.85571e-5i | −3.28871e−6 | 0 | 1.58376e-6i | ||||
\(941\) | −3.30579 | + | 1.01970i | −0.107766 | + | 0.0332413i | −0.348169 | − | 0.937432i | \(-0.613196\pi\) |
0.240403 | + | 0.970673i | \(0.422720\pi\) | |||||||
\(942\) | −12.4460 | + | 12.2026i | −0.405511 | + | 0.397581i | ||||
\(943\) | −6.94260 | − | 17.6895i | −0.226082 | − | 0.576048i | ||||
\(944\) | 17.8016 | + | 8.57279i | 0.579392 | + | 0.279021i | ||||
\(945\) | 0.0313226 | 0.000709974i | 0.00101892 | 2.30955e-5i | ||||||
\(946\) | 12.0207 | − | 5.78886i | 0.390827 | − | 0.188212i | ||||
\(947\) | −14.0111 | − | 13.0004i | −0.455298 | − | 0.422455i | 0.418894 | − | 0.908035i | \(-0.362418\pi\) |
−0.874192 | + | 0.485580i | \(0.838608\pi\) | |||||||
\(948\) | −0.988110 | − | 1.60759i | −0.0320923 | − | 0.0522121i | ||||
\(949\) | 8.67067 | + | 15.0180i | 0.281462 | + | 0.487506i | ||||
\(950\) | −28.5473 | −0.926196 | ||||||||
\(951\) | −6.94175 | + | 0.191122i | −0.225102 | + | 0.00619756i | ||||
\(952\) | −0.787090 | − | 0.901841i | −0.0255097 | − | 0.0292288i | ||||
\(953\) | −1.08969 | − | 1.36643i | −0.0352987 | − | 0.0442631i | 0.763869 | − | 0.645372i | \(-0.223297\pi\) |
−0.799168 | + | 0.601108i | \(0.794726\pi\) | |||||||
\(954\) | −32.0450 | + | 17.6668i | −1.03750 | + | 0.571984i | ||||
\(955\) | −0.000660138 | 0.00880893i | −2.13616e−5 | 0.000285050i | ||||||
\(956\) | 0.699588 | − | 0.336904i | 0.0226263 | − | 0.0108962i | ||||
\(957\) | 16.7667 | + | 14.7196i | 0.541992 | + | 0.475817i | ||||
\(958\) | −46.4194 | + | 6.99659i | −1.49974 | + | 0.226050i | ||||
\(959\) | 8.08516 | + | 0.854026i | 0.261083 | + | 0.0275779i | ||||
\(960\) | 0.0157492 | + | 0.0256229i | 0.000508302 | + | 0.000826975i | ||||
\(961\) | −0.965014 | + | 1.67145i | −0.0311295 | + | 0.0539179i | ||||
\(962\) | 10.2079 | − | 17.6807i | 0.329117 | − | 0.570048i | ||||
\(963\) | −11.0503 | − | 12.3914i | −0.356090 | − | 0.399308i | ||||
\(964\) | 2.36274 | − | 0.728810i | 0.0760989 | − | 0.0234734i | ||||
\(965\) | −0.0140836 | − | 0.00960203i | −0.000453367 | − | 0.000309100i | ||||
\(966\) | 14.7070 | − | 47.1904i | 0.473191 | − | 1.51833i | ||||
\(967\) | 30.4234 | − | 20.7423i | 0.978351 | − | 0.667028i | 0.0351953 | − | 0.999380i | \(-0.488795\pi\) |
0.943155 | + | 0.332352i | \(0.107842\pi\) | |||||||
\(968\) | 0.698722 | − | 0.876170i | 0.0224578 | − | 0.0281612i | ||||
\(969\) | 0.800221 | − | 0.784571i | 0.0257068 | − | 0.0252041i | ||||
\(970\) | 0.00440006 | − | 0.0192779i | 0.000141277 | − | 0.000618977i | ||||
\(971\) | −21.6488 | − | 14.7599i | −0.694742 | − | 0.473667i | 0.163745 | − | 0.986503i | \(-0.447643\pi\) |
−0.858487 | + | 0.512836i | \(0.828595\pi\) | |||||||
\(972\) | 1.13783 | − | 0.755962i | 0.0364958 | − | 0.0242475i | ||||
\(973\) | −2.50665 | + | 13.7721i | −0.0803594 | + | 0.441513i | ||||
\(974\) | −12.0412 | + | 3.71422i | −0.385825 | + | 0.119011i | ||||
\(975\) | 12.4336 | − | 16.5033i | 0.398194 | − | 0.528530i | ||||
\(976\) | −22.8371 | + | 58.1880i | −0.730998 | + | 1.86255i | ||||
\(977\) | 18.7056 | − | 17.3562i | 0.598444 | − | 0.555275i | −0.321707 | − | 0.946839i | \(-0.604257\pi\) |
0.920151 | + | 0.391565i | \(0.128066\pi\) | |||||||
\(978\) | −2.09593 | + | 2.05494i | −0.0670204 | + | 0.0657097i | ||||
\(979\) | 12.8517 | + | 22.2599i | 0.410743 | + | 0.711428i | ||||
\(980\) | 0.00139249 | 0.000123870i | 4.44814e−5 | 3.95688e-6i | ||||||
\(981\) | −50.2326 | + | 18.5786i | −1.60380 | + | 0.593170i | ||||
\(982\) | −2.03823 | − | 27.1983i | −0.0650426 | − | 0.867933i | ||||
\(983\) | −2.28770 | − | 10.0231i | −0.0729664 | − | 0.319686i | 0.925252 | − | 0.379353i | \(-0.123853\pi\) |
−0.998218 | + | 0.0596665i | \(0.980996\pi\) | |||||||
\(984\) | −2.38296 | + | 11.9472i | −0.0759660 | + | 0.380862i | ||||
\(985\) | −0.00786162 | − | 0.0344440i | −0.000250492 | − | 0.00109748i | ||||
\(986\) | −0.686334 | − | 0.636825i | −0.0218573 | − | 0.0202806i | ||||
\(987\) | 1.44038 | + | 2.12593i | 0.0458478 | + | 0.0676691i | ||||
\(988\) | −0.605663 | + | 0.561973i | −0.0192687 | + | 0.0178788i | ||||
\(989\) | 17.4987 | + | 11.9304i | 0.556426 | + | 0.379365i | ||||
\(990\) | 0.00416339 | + | 0.0318826i | 0.000132321 | + | 0.00101329i | ||||
\(991\) | −5.53569 | + | 3.77417i | −0.175847 | + | 0.119890i | −0.648045 | − | 0.761602i | \(-0.724413\pi\) |
0.472198 | + | 0.881492i | \(0.343461\pi\) | |||||||
\(992\) | −1.03855 | − | 2.64619i | −0.0329741 | − | 0.0840166i | ||||
\(993\) | −1.99473 | − | 7.74972i | −0.0633007 | − | 0.245930i | ||||
\(994\) | 5.47346 | − | 30.0724i | 0.173608 | − | 0.953840i | ||||
\(995\) | −0.000517747 | 0.00690885i | −1.64137e−5 | 0.000219025i | ||||||
\(996\) | 2.17610 | − | 1.12276i | 0.0689525 | − | 0.0355759i | ||||
\(997\) | 25.9228 | − | 32.5062i | 0.820984 | − | 1.02948i | −0.177983 | − | 0.984034i | \(-0.556957\pi\) |
0.998967 | − | 0.0454477i | \(-0.0144714\pi\) | |||||||
\(998\) | −15.3690 | + | 26.6198i | −0.486496 | + | 0.842636i | ||||
\(999\) | 26.7686 | + | 15.1785i | 0.846920 | + | 0.480227i |
(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 | 441.2.z.a.130.40 | yes | 648 | |
9.7 | even | 3 | 441.2.y.a.277.15 | yes | 648 | ||
49.23 | even | 21 | 441.2.y.a.121.15 | ✓ | 648 | ||
441.268 | even | 21 | inner | 441.2.z.a.268.40 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.121.15 | ✓ | 648 | 49.23 | even | 21 | ||
441.2.y.a.277.15 | yes | 648 | 9.7 | even | 3 | ||
441.2.z.a.130.40 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.268.40 | yes | 648 | 441.268 | even | 21 | inner |