Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [49,2,Mod(2,49)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(49, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([26]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("49.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 49 = 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 49.g (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: | \(0.391266969904\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 39.4 | ||
Character | \(\chi\) | \(=\) | 49.39 |
Dual form | 49.2.g.a.44.4 |
$q$-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 \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{17}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.78609 | + | 0.269210i | 1.26296 | + | 0.190360i | 0.746170 | − | 0.665755i | \(-0.231890\pi\) |
0.516786 | + | 0.856115i | \(0.327128\pi\) | |||||||
\(3\) | −1.92585 | + | 1.31302i | −1.11189 | + | 0.758072i | −0.972671 | − | 0.232189i | \(-0.925411\pi\) |
−0.139217 | + | 0.990262i | \(0.544459\pi\) | |||||||
\(4\) | 1.20650 | + | 0.372155i | 0.603248 | + | 0.186077i | ||||
\(5\) | −0.264371 | − | 3.52778i | −0.118230 | − | 1.57767i | −0.669158 | − | 0.743120i | \(-0.733345\pi\) |
0.550928 | − | 0.834553i | \(-0.314274\pi\) | |||||||
\(6\) | −3.79321 | + | 1.82671i | −1.54857 | + | 0.745753i | ||||
\(7\) | 0.675443 | + | 2.55808i | 0.255293 | + | 0.966864i | ||||
\(8\) | −1.20005 | − | 0.577915i | −0.424283 | − | 0.204324i | ||||
\(9\) | 0.888840 | − | 2.26473i | 0.296280 | − | 0.754909i | ||||
\(10\) | 0.477524 | − | 6.37211i | 0.151006 | − | 2.01504i | ||||
\(11\) | −0.164829 | − | 0.419977i | −0.0496977 | − | 0.126628i | 0.903869 | − | 0.427809i | \(-0.140714\pi\) |
−0.953567 | + | 0.301181i | \(0.902619\pi\) | |||||||
\(12\) | −2.81217 | + | 0.867441i | −0.811804 | + | 0.250409i | ||||
\(13\) | −0.882307 | + | 1.10638i | −0.244708 | + | 0.306854i | −0.888983 | − | 0.457940i | \(-0.848588\pi\) |
0.644275 | + | 0.764793i | \(0.277159\pi\) | |||||||
\(14\) | 0.517742 | + | 4.75080i | 0.138372 | + | 1.26970i | ||||
\(15\) | 5.14119 | + | 6.44685i | 1.32745 | + | 1.66457i | ||||
\(16\) | −4.07422 | − | 2.77776i | −1.01856 | − | 0.694439i | ||||
\(17\) | 4.25405 | + | 3.94718i | 1.03176 | + | 0.957331i | 0.999112 | − | 0.0421359i | \(-0.0134162\pi\) |
0.0326457 | + | 0.999467i | \(0.489607\pi\) | |||||||
\(18\) | 2.19723 | − | 3.80572i | 0.517893 | − | 0.897017i | ||||
\(19\) | 0.677680 | + | 1.17378i | 0.155471 | + | 0.269283i | 0.933230 | − | 0.359279i | \(-0.116977\pi\) |
−0.777760 | + | 0.628562i | \(0.783644\pi\) | |||||||
\(20\) | 0.993919 | − | 4.35465i | 0.222247 | − | 0.973728i | ||||
\(21\) | −4.65961 | − | 4.03960i | −1.01681 | − | 0.881513i | ||||
\(22\) | −0.181337 | − | 0.794490i | −0.0386612 | − | 0.169386i | ||||
\(23\) | 0.724896 | − | 0.672605i | 0.151151 | − | 0.140248i | −0.600973 | − | 0.799270i | \(-0.705220\pi\) |
0.752124 | + | 0.659022i | \(0.229029\pi\) | |||||||
\(24\) | 3.06993 | − | 0.462718i | 0.626647 | − | 0.0944518i | ||||
\(25\) | −7.43121 | + | 1.12008i | −1.48624 | + | 0.224015i | ||||
\(26\) | −1.87373 | + | 1.73856i | −0.367468 | + | 0.340960i | ||||
\(27\) | −0.294132 | − | 1.28868i | −0.0566058 | − | 0.248006i | ||||
\(28\) | −0.137083 | + | 3.33768i | −0.0259062 | + | 0.630763i | ||||
\(29\) | 0.913633 | − | 4.00289i | 0.169657 | − | 0.743318i | −0.816478 | − | 0.577376i | \(-0.804077\pi\) |
0.986136 | − | 0.165942i | \(-0.0530663\pi\) | |||||||
\(30\) | 7.44707 | + | 12.8987i | 1.35964 | + | 2.35497i | ||||
\(31\) | 1.11685 | − | 1.93444i | 0.200592 | − | 0.347436i | −0.748127 | − | 0.663555i | \(-0.769047\pi\) |
0.948719 | + | 0.316120i | \(0.102380\pi\) | |||||||
\(32\) | −4.57634 | − | 4.24622i | −0.808990 | − | 0.750633i | ||||
\(33\) | 0.868873 | + | 0.592388i | 0.151251 | + | 0.103121i | ||||
\(34\) | 6.53549 | + | 8.19524i | 1.12083 | + | 1.40547i | ||||
\(35\) | 8.84579 | − | 3.05910i | 1.49521 | − | 0.517082i | ||||
\(36\) | 1.91521 | − | 2.40160i | 0.319202 | − | 0.400267i | ||||
\(37\) | 2.68333 | − | 0.827696i | 0.441136 | − | 0.136072i | −0.0662275 | − | 0.997805i | \(-0.521096\pi\) |
0.507364 | + | 0.861732i | \(0.330620\pi\) | |||||||
\(38\) | 0.894406 | + | 2.27891i | 0.145092 | + | 0.369688i | ||||
\(39\) | 0.246491 | − | 3.28920i | 0.0394702 | − | 0.526693i | ||||
\(40\) | −1.72150 | + | 4.38631i | −0.272193 | + | 0.693537i | ||||
\(41\) | −7.49293 | − | 3.60841i | −1.17020 | − | 0.563538i | −0.255159 | − | 0.966899i | \(-0.582128\pi\) |
−0.915041 | + | 0.403361i | \(0.867842\pi\) | |||||||
\(42\) | −7.23498 | − | 8.46950i | −1.11638 | − | 1.30687i | ||||
\(43\) | −4.88385 | + | 2.35194i | −0.744781 | + | 0.358668i | −0.767478 | − | 0.641075i | \(-0.778489\pi\) |
0.0226976 | + | 0.999742i | \(0.492775\pi\) | |||||||
\(44\) | −0.0425689 | − | 0.568042i | −0.00641750 | − | 0.0856356i | ||||
\(45\) | −8.22445 | − | 2.53691i | −1.22603 | − | 0.378180i | ||||
\(46\) | 1.47580 | − | 1.00618i | 0.217595 | − | 0.148354i | ||||
\(47\) | 1.01007 | + | 0.152244i | 0.147334 | + | 0.0222071i | 0.222295 | − | 0.974979i | \(-0.428645\pi\) |
−0.0749610 | + | 0.997186i | \(0.523883\pi\) | |||||||
\(48\) | 11.4936 | 1.65895 | ||||||||
\(49\) | −6.08755 | + | 3.45568i | −0.869651 | + | 0.493668i | ||||
\(50\) | −13.5743 | −1.91970 | ||||||||
\(51\) | −13.3754 | − | 2.01601i | −1.87293 | − | 0.282298i | ||||
\(52\) | −1.47624 | + | 1.00649i | −0.204718 | + | 0.139574i | ||||
\(53\) | 10.0871 | + | 3.11147i | 1.38558 | + | 0.427393i | 0.895801 | − | 0.444456i | \(-0.146603\pi\) |
0.489775 | + | 0.871849i | \(0.337079\pi\) | |||||||
\(54\) | −0.178422 | − | 2.38088i | −0.0242802 | − | 0.323996i | ||||
\(55\) | −1.43801 | + | 0.692510i | −0.193901 | + | 0.0933780i | ||||
\(56\) | 0.667786 | − | 3.46018i | 0.0892366 | − | 0.462386i | ||||
\(57\) | −2.84630 | − | 1.37071i | −0.377002 | − | 0.181554i | ||||
\(58\) | 2.70945 | − | 6.90356i | 0.355768 | − | 0.906482i | ||||
\(59\) | 0.382261 | − | 5.10091i | 0.0497661 | − | 0.664082i | −0.915417 | − | 0.402507i | \(-0.868139\pi\) |
0.965183 | − | 0.261575i | \(-0.0842420\pi\) | |||||||
\(60\) | 3.80360 | + | 9.69141i | 0.491043 | + | 1.25116i | ||||
\(61\) | 3.43657 | − | 1.06004i | 0.440008 | − | 0.135724i | −0.0668330 | − | 0.997764i | \(-0.521289\pi\) |
0.506841 | + | 0.862040i | \(0.330813\pi\) | |||||||
\(62\) | 2.51556 | − | 3.15442i | 0.319477 | − | 0.400611i | ||||
\(63\) | 6.39372 | + | 0.744030i | 0.805533 | + | 0.0937390i | ||||
\(64\) | −0.881710 | − | 1.10563i | −0.110214 | − | 0.138204i | ||||
\(65\) | 4.13632 | + | 2.82009i | 0.513047 | + | 0.349789i | ||||
\(66\) | 1.39241 | + | 1.29197i | 0.171394 | + | 0.159030i | ||||
\(67\) | −7.60585 | + | 13.1737i | −0.929202 | + | 1.60943i | −0.144543 | + | 0.989499i | \(0.546171\pi\) |
−0.784659 | + | 0.619927i | \(0.787162\pi\) | |||||||
\(68\) | 3.66353 | + | 6.34542i | 0.444268 | + | 0.769495i | ||||
\(69\) | −0.512895 | + | 2.24714i | −0.0617452 | + | 0.270524i | ||||
\(70\) | 16.6229 | − | 3.08245i | 1.98682 | − | 0.368424i | ||||
\(71\) | 2.56178 | + | 11.2239i | 0.304027 | + | 1.33203i | 0.863989 | + | 0.503511i | \(0.167959\pi\) |
−0.559962 | + | 0.828519i | \(0.689184\pi\) | |||||||
\(72\) | −2.37547 | + | 2.20412i | −0.279952 | + | 0.259758i | ||||
\(73\) | −1.27840 | + | 0.192688i | −0.149625 | + | 0.0225524i | −0.223428 | − | 0.974720i | \(-0.571725\pi\) |
0.0738025 | + | 0.997273i | \(0.476487\pi\) | |||||||
\(74\) | 5.01548 | − | 0.755963i | 0.583038 | − | 0.0878789i | ||||
\(75\) | 12.8407 | − | 11.9144i | 1.48272 | − | 1.37576i | ||||
\(76\) | 0.380792 | + | 1.66836i | 0.0436799 | + | 0.191374i | ||||
\(77\) | 0.963002 | − | 0.705316i | 0.109744 | − | 0.0803782i | ||||
\(78\) | 1.32574 | − | 5.80845i | 0.150110 | − | 0.657677i | ||||
\(79\) | −3.99295 | − | 6.91600i | −0.449242 | − | 0.778111i | 0.549095 | − | 0.835760i | \(-0.314973\pi\) |
−0.998337 | + | 0.0576497i | \(0.981639\pi\) | |||||||
\(80\) | −8.72222 | + | 15.1073i | −0.975174 | + | 1.68905i | ||||
\(81\) | 7.60885 | + | 7.05998i | 0.845428 | + | 0.784442i | ||||
\(82\) | −12.4116 | − | 8.46211i | −1.37064 | − | 0.934483i | ||||
\(83\) | −5.09487 | − | 6.38876i | −0.559234 | − | 0.701258i | 0.419182 | − | 0.907902i | \(-0.362317\pi\) |
−0.978416 | + | 0.206645i | \(0.933746\pi\) | |||||||
\(84\) | −4.11845 | − | 6.60786i | −0.449359 | − | 0.720977i | ||||
\(85\) | 12.8001 | − | 16.0509i | 1.38837 | − | 1.74096i | ||||
\(86\) | −9.35617 | + | 2.88600i | −1.00890 | + | 0.311205i | ||||
\(87\) | 3.49636 | + | 8.90857i | 0.374849 | + | 0.955099i | ||||
\(88\) | −0.0449077 | + | 0.599251i | −0.00478717 | + | 0.0638804i | ||||
\(89\) | −1.13122 | + | 2.88231i | −0.119909 | + | 0.305524i | −0.978208 | − | 0.207626i | \(-0.933426\pi\) |
0.858299 | + | 0.513150i | \(0.171522\pi\) | |||||||
\(90\) | −14.0067 | − | 6.74525i | −1.47643 | − | 0.711012i | ||||
\(91\) | −3.42615 | − | 1.50972i | −0.359158 | − | 0.158261i | ||||
\(92\) | 1.12490 | − | 0.541722i | 0.117279 | − | 0.0564785i | ||||
\(93\) | 0.389078 | + | 5.19188i | 0.0403455 | + | 0.538373i | ||||
\(94\) | 1.76309 | + | 0.543843i | 0.181849 | + | 0.0560931i | ||||
\(95\) | 3.96167 | − | 2.70102i | 0.406459 | − | 0.277119i | ||||
\(96\) | 14.3887 | + | 2.16875i | 1.46854 | + | 0.221347i | ||||
\(97\) | 15.6655 | 1.59059 | 0.795294 | − | 0.606224i | \(-0.207316\pi\) | ||||
0.795294 | + | 0.606224i | \(0.207316\pi\) | |||||||
\(98\) | −11.8032 | + | 4.53332i | −1.19230 | + | 0.457934i | ||||
\(99\) | −1.09764 | −0.110317 | ||||||||
\(100\) | −9.38257 | − | 1.41420i | −0.938257 | − | 0.141420i | ||||
\(101\) | −9.84411 | + | 6.71160i | −0.979525 | + | 0.667829i | −0.943448 | − | 0.331520i | \(-0.892439\pi\) |
−0.0360771 | + | 0.999349i | \(0.511486\pi\) | |||||||
\(102\) | −23.3469 | − | 7.20155i | −2.31168 | − | 0.713060i | ||||
\(103\) | 0.625142 | + | 8.34194i | 0.0615971 | + | 0.821956i | 0.939376 | + | 0.342890i | \(0.111406\pi\) |
−0.877779 | + | 0.479066i | \(0.840975\pi\) | |||||||
\(104\) | 1.69821 | − | 0.817813i | 0.166523 | − | 0.0801932i | ||||
\(105\) | −13.0190 | + | 17.5061i | −1.27052 | + | 1.70842i | ||||
\(106\) | 17.1789 | + | 8.27292i | 1.66856 | + | 0.803537i | ||||
\(107\) | 3.79618 | − | 9.67252i | 0.366991 | − | 0.935078i | −0.621448 | − | 0.783456i | \(-0.713455\pi\) |
0.988439 | − | 0.151622i | \(-0.0484496\pi\) | |||||||
\(108\) | 0.124718 | − | 1.66425i | 0.0120010 | − | 0.160142i | ||||
\(109\) | −3.46174 | − | 8.82036i | −0.331574 | − | 0.844837i | −0.995298 | − | 0.0968594i | \(-0.969120\pi\) |
0.663724 | − | 0.747978i | \(-0.268975\pi\) | |||||||
\(110\) | −2.75485 | + | 0.849758i | −0.262664 | + | 0.0810213i | ||||
\(111\) | −4.08089 | + | 5.11728i | −0.387341 | + | 0.485710i | ||||
\(112\) | 4.35382 | − | 12.2984i | 0.411398 | − | 1.16209i | ||||
\(113\) | −8.96794 | − | 11.2454i | −0.843633 | − | 1.05788i | −0.997561 | − | 0.0698004i | \(-0.977764\pi\) |
0.153928 | − | 0.988082i | \(-0.450808\pi\) | |||||||
\(114\) | −4.71474 | − | 3.21446i | −0.441576 | − | 0.301061i | ||||
\(115\) | −2.56445 | − | 2.37946i | −0.239136 | − | 0.221886i | ||||
\(116\) | 2.59199 | − | 4.48946i | 0.240660 | − | 0.416836i | ||||
\(117\) | 1.72141 | + | 2.98158i | 0.159145 | + | 0.275647i | ||||
\(118\) | 2.05597 | − | 9.00778i | 0.189267 | − | 0.829233i | ||||
\(119\) | −7.22383 | + | 13.5483i | −0.662208 | + | 1.24197i | ||||
\(120\) | −2.44397 | − | 10.7077i | −0.223103 | − | 0.977477i | ||||
\(121\) | 7.91436 | − | 7.34345i | 0.719487 | − | 0.667587i | ||||
\(122\) | 6.42339 | − | 0.968171i | 0.581547 | − | 0.0876541i | ||||
\(123\) | 19.1681 | − | 2.88913i | 1.72833 | − | 0.260504i | ||||
\(124\) | 2.06739 | − | 1.91825i | 0.185657 | − | 0.172264i | ||||
\(125\) | 1.97995 | + | 8.67471i | 0.177092 | + | 0.775889i | ||||
\(126\) | 11.2195 | + | 3.05016i | 0.999508 | + | 0.271729i | ||||
\(127\) | −0.596431 | + | 2.61314i | −0.0529247 | + | 0.231878i | −0.994472 | − | 0.105003i | \(-0.966515\pi\) |
0.941547 | + | 0.336881i | \(0.109372\pi\) | |||||||
\(128\) | 4.96569 | + | 8.60083i | 0.438909 | + | 0.760213i | ||||
\(129\) | 6.31741 | − | 10.9421i | 0.556217 | − | 0.963396i | ||||
\(130\) | 6.62864 | + | 6.15048i | 0.581370 | + | 0.539432i | ||||
\(131\) | 3.02442 | + | 2.06202i | 0.264245 | + | 0.180159i | 0.688194 | − | 0.725527i | \(-0.258404\pi\) |
−0.423949 | + | 0.905686i | \(0.639356\pi\) | |||||||
\(132\) | 0.827832 | + | 1.03807i | 0.0720535 | + | 0.0903523i | ||||
\(133\) | −2.54488 | + | 2.52638i | −0.220669 | + | 0.219065i | ||||
\(134\) | −17.1312 | + | 21.4819i | −1.47991 | + | 1.85575i | ||||
\(135\) | −4.46841 | + | 1.37832i | −0.384580 | + | 0.118627i | ||||
\(136\) | −2.82395 | − | 7.19530i | −0.242151 | − | 0.616992i | ||||
\(137\) | −0.118909 | + | 1.58673i | −0.0101591 | + | 0.135564i | −0.999977 | − | 0.00677546i | \(-0.997843\pi\) |
0.989818 | + | 0.142339i | \(0.0454623\pi\) | |||||||
\(138\) | −1.52103 | + | 3.87551i | −0.129478 | + | 0.329906i | ||||
\(139\) | −4.63173 | − | 2.23052i | −0.392858 | − | 0.189190i | 0.227017 | − | 0.973891i | \(-0.427103\pi\) |
−0.619875 | + | 0.784700i | \(0.712817\pi\) | |||||||
\(140\) | 11.8109 | − | 0.398789i | 0.998201 | − | 0.0337038i | ||||
\(141\) | −2.14514 | + | 1.03305i | −0.180654 | + | 0.0869983i | ||||
\(142\) | 1.55399 | + | 20.7365i | 0.130408 | + | 1.74017i | ||||
\(143\) | 0.610082 | + | 0.188186i | 0.0510177 | + | 0.0157369i | ||||
\(144\) | −9.91220 | + | 6.75802i | −0.826016 | + | 0.563168i | ||||
\(145\) | −14.3629 | − | 2.16485i | −1.19277 | − | 0.179781i | ||||
\(146\) | −2.33521 | −0.193263 | ||||||||
\(147\) | 7.18632 | − | 14.6482i | 0.592718 | − | 1.20816i | ||||
\(148\) | 3.54545 | 0.291435 | ||||||||
\(149\) | 3.13359 | + | 0.472313i | 0.256714 | + | 0.0386934i | 0.276138 | − | 0.961118i | \(-0.410945\pi\) |
−0.0194245 | + | 0.999811i | \(0.506183\pi\) | |||||||
\(150\) | 26.1421 | − | 17.8234i | 2.13449 | − | 1.45527i | ||||
\(151\) | −3.43361 | − | 1.05913i | −0.279423 | − | 0.0861907i | 0.151876 | − | 0.988400i | \(-0.451469\pi\) |
−0.431299 | + | 0.902209i | \(0.641945\pi\) | |||||||
\(152\) | −0.134909 | − | 1.80024i | −0.0109426 | − | 0.146018i | ||||
\(153\) | 12.7204 | − | 6.12585i | 1.02839 | − | 0.495245i | ||||
\(154\) | 1.90989 | − | 1.00051i | 0.153903 | − | 0.0806232i | ||||
\(155\) | −7.11955 | − | 3.42859i | −0.571856 | − | 0.275391i | ||||
\(156\) | 1.52148 | − | 3.87667i | 0.121816 | − | 0.310382i | ||||
\(157\) | −0.508377 | + | 6.78382i | −0.0405729 | + | 0.541408i | 0.939471 | + | 0.342628i | \(0.111317\pi\) |
−0.980044 | + | 0.198780i | \(0.936302\pi\) | |||||||
\(158\) | −5.26992 | − | 13.4275i | −0.419252 | − | 1.06824i | ||||
\(159\) | −23.5117 | + | 7.25240i | −1.86460 | + | 0.575153i | ||||
\(160\) | −13.7699 | + | 17.2669i | −1.08861 | + | 1.36507i | ||||
\(161\) | 2.21020 | + | 1.40004i | 0.174189 | + | 0.110338i | ||||
\(162\) | 11.6895 | + | 14.6581i | 0.918412 | + | 1.15165i | ||||
\(163\) | 12.2656 | + | 8.36258i | 0.960719 | + | 0.655007i | 0.938695 | − | 0.344750i | \(-0.112036\pi\) |
0.0220249 | + | 0.999757i | \(0.492989\pi\) | |||||||
\(164\) | −7.69731 | − | 7.14206i | −0.601059 | − | 0.557701i | ||||
\(165\) | 1.86011 | − | 3.22181i | 0.144809 | − | 0.250817i | ||||
\(166\) | −7.37997 | − | 12.7825i | −0.572797 | − | 0.992113i | ||||
\(167\) | 2.03740 | − | 8.92642i | 0.157659 | − | 0.690747i | −0.832873 | − | 0.553464i | \(-0.813306\pi\) |
0.990532 | − | 0.137283i | \(-0.0438371\pi\) | |||||||
\(168\) | 3.25723 | + | 7.54059i | 0.251301 | + | 0.581769i | ||||
\(169\) | 2.44717 | + | 10.7217i | 0.188244 | + | 0.824749i | ||||
\(170\) | 27.1833 | − | 25.2224i | 2.08486 | − | 1.93447i | ||||
\(171\) | 3.26063 | − | 0.491462i | 0.249347 | − | 0.0375830i | ||||
\(172\) | −6.76764 | + | 1.02006i | −0.516028 | + | 0.0777786i | ||||
\(173\) | −9.64968 | + | 8.95359i | −0.733652 | + | 0.680729i | −0.955712 | − | 0.294304i | \(-0.904912\pi\) |
0.222060 | + | 0.975033i | \(0.428722\pi\) | |||||||
\(174\) | 3.84653 | + | 16.8528i | 0.291605 | + | 1.27760i | ||||
\(175\) | −7.88460 | − | 18.2531i | −0.596020 | − | 1.37980i | ||||
\(176\) | −0.495045 | + | 2.16893i | −0.0373154 | + | 0.163490i | ||||
\(177\) | 5.96142 | + | 10.3255i | 0.448088 | + | 0.776111i | ||||
\(178\) | −2.79641 | + | 4.84353i | −0.209600 | + | 0.363038i | ||||
\(179\) | −16.1510 | − | 14.9859i | −1.20718 | − | 1.12010i | −0.989568 | − | 0.144065i | \(-0.953983\pi\) |
−0.217612 | − | 0.976035i | \(-0.569827\pi\) | |||||||
\(180\) | −8.97865 | − | 6.12154i | −0.669229 | − | 0.456273i | ||||
\(181\) | 2.98235 | + | 3.73974i | 0.221676 | + | 0.277973i | 0.880216 | − | 0.474572i | \(-0.157397\pi\) |
−0.658540 | + | 0.752545i | \(0.728826\pi\) | |||||||
\(182\) | −5.71298 | − | 3.61884i | −0.423474 | − | 0.268246i | ||||
\(183\) | −5.22645 | + | 6.55376i | −0.386350 | + | 0.484468i | ||||
\(184\) | −1.25862 | + | 0.388234i | −0.0927869 | + | 0.0286210i | ||||
\(185\) | −3.62933 | − | 9.24738i | −0.266833 | − | 0.679881i | ||||
\(186\) | −0.702777 | + | 9.37791i | −0.0515301 | + | 0.687622i | ||||
\(187\) | 0.956534 | − | 2.43721i | 0.0699487 | − | 0.178226i | ||||
\(188\) | 1.16199 | + | 0.559585i | 0.0847469 | + | 0.0408119i | ||||
\(189\) | 3.09787 | − | 1.62284i | 0.225337 | − | 0.118044i | ||||
\(190\) | 7.80304 | − | 3.75775i | 0.566092 | − | 0.272616i | ||||
\(191\) | −0.336280 | − | 4.48734i | −0.0243323 | − | 0.324693i | −0.996066 | − | 0.0886132i | \(-0.971757\pi\) |
0.971734 | − | 0.236079i | \(-0.0758625\pi\) | |||||||
\(192\) | 3.14975 | + | 0.971570i | 0.227314 | + | 0.0701170i | ||||
\(193\) | −2.93733 | + | 2.00264i | −0.211433 | + | 0.144153i | −0.664407 | − | 0.747371i | \(-0.731316\pi\) |
0.452973 | + | 0.891524i | \(0.350363\pi\) | |||||||
\(194\) | 27.9799 | + | 4.21730i | 2.00884 | + | 0.302784i | ||||
\(195\) | −11.6687 | −0.835616 | ||||||||
\(196\) | −8.63066 | + | 1.90375i | −0.616475 | + | 0.135982i | ||||
\(197\) | 14.2934 | 1.01836 | 0.509182 | − | 0.860659i | \(-0.329948\pi\) | ||||
0.509182 | + | 0.860659i | \(0.329948\pi\) | |||||||
\(198\) | −1.96048 | − | 0.295495i | −0.139325 | − | 0.0209999i | ||||
\(199\) | 4.36464 | − | 2.97576i | 0.309401 | − | 0.210946i | −0.398657 | − | 0.917100i | \(-0.630524\pi\) |
0.708059 | + | 0.706154i | \(0.249571\pi\) | |||||||
\(200\) | 9.56516 | + | 2.95046i | 0.676359 | + | 0.208629i | ||||
\(201\) | −2.64965 | − | 35.3572i | −0.186892 | − | 2.49390i | ||||
\(202\) | −19.3893 | + | 9.33739i | −1.36423 | + | 0.656976i | ||||
\(203\) | 10.8568 | − | 0.366576i | 0.761999 | − | 0.0257286i | ||||
\(204\) | −15.3871 | − | 7.41001i | −1.07731 | − | 0.518805i | ||||
\(205\) | −10.7488 | + | 27.3874i | −0.750726 | + | 1.91282i | ||||
\(206\) | −1.12917 | + | 15.0678i | −0.0786731 | + | 1.04982i | ||||
\(207\) | −0.878951 | − | 2.23953i | −0.0610913 | − | 0.155658i | ||||
\(208\) | 6.66796 | − | 2.05679i | 0.462340 | − | 0.142613i | ||||
\(209\) | 0.381258 | − | 0.478082i | 0.0263722 | − | 0.0330696i | ||||
\(210\) | −27.9658 | + | 27.7625i | −1.92983 | + | 1.91580i | ||||
\(211\) | −6.42413 | − | 8.05560i | −0.442255 | − | 0.554571i | 0.509881 | − | 0.860245i | \(-0.329689\pi\) |
−0.952136 | + | 0.305675i | \(0.901118\pi\) | |||||||
\(212\) | 11.0121 | + | 7.50796i | 0.756318 | + | 0.515649i | ||||
\(213\) | −19.6708 | − | 18.2518i | −1.34782 | − | 1.25059i | ||||
\(214\) | 9.38426 | − | 16.2540i | 0.641495 | − | 1.11110i | ||||
\(215\) | 9.58829 | + | 16.6074i | 0.653916 | + | 1.13262i | ||||
\(216\) | −0.391772 | + | 1.71646i | −0.0266567 | + | 0.116791i | ||||
\(217\) | 5.70282 | + | 1.55039i | 0.387133 | + | 0.105247i | ||||
\(218\) | −3.80844 | − | 16.6859i | −0.257940 | − | 1.13011i | ||||
\(219\) | 2.20900 | − | 2.04965i | 0.149270 | − | 0.138503i | ||||
\(220\) | −1.99268 | + | 0.300348i | −0.134346 | + | 0.0202494i | ||||
\(221\) | −8.12044 | + | 1.22396i | −0.546240 | + | 0.0823324i | ||||
\(222\) | −8.66646 | + | 8.04130i | −0.581655 | + | 0.539697i | ||||
\(223\) | −0.402994 | − | 1.76563i | −0.0269865 | − | 0.118236i | 0.959641 | − | 0.281229i | \(-0.0907421\pi\) |
−0.986627 | + | 0.162994i | \(0.947885\pi\) | |||||||
\(224\) | 7.77112 | − | 14.5747i | 0.519230 | − | 0.973814i | ||||
\(225\) | −4.06850 | + | 17.8252i | −0.271233 | + | 1.18835i | ||||
\(226\) | −12.9902 | − | 22.4996i | −0.864093 | − | 1.49665i | ||||
\(227\) | 8.47547 | − | 14.6799i | 0.562536 | − | 0.974342i | −0.434738 | − | 0.900557i | \(-0.643159\pi\) |
0.997274 | − | 0.0737846i | \(-0.0235077\pi\) | |||||||
\(228\) | −2.92394 | − | 2.71302i | −0.193642 | − | 0.179674i | ||||
\(229\) | 17.4987 | + | 11.9304i | 1.15635 | + | 0.788384i | 0.980594 | − | 0.196050i | \(-0.0628115\pi\) |
0.175753 | + | 0.984434i | \(0.443764\pi\) | |||||||
\(230\) | −3.93976 | − | 4.94030i | −0.259780 | − | 0.325754i | ||||
\(231\) | −0.928501 | + | 2.62277i | −0.0610909 | + | 0.172566i | ||||
\(232\) | −3.40974 | + | 4.27568i | −0.223860 | + | 0.280712i | ||||
\(233\) | −10.1147 | + | 3.11997i | −0.662635 | + | 0.204396i | −0.607788 | − | 0.794099i | \(-0.707943\pi\) |
−0.0548464 | + | 0.998495i | \(0.517467\pi\) | |||||||
\(234\) | 2.27193 | + | 5.78878i | 0.148521 | + | 0.378425i | ||||
\(235\) | 0.270050 | − | 3.60357i | 0.0176161 | − | 0.235071i | ||||
\(236\) | 2.35953 | − | 6.01197i | 0.153592 | − | 0.391346i | ||||
\(237\) | 16.7707 | + | 8.07632i | 1.08937 | + | 0.524614i | ||||
\(238\) | −16.5497 | + | 22.2537i | −1.07276 | + | 1.44249i | ||||
\(239\) | 23.5566 | − | 11.3443i | 1.52375 | − | 0.733801i | 0.530275 | − | 0.847826i | \(-0.322089\pi\) |
0.993478 | + | 0.114025i | \(0.0363744\pi\) | |||||||
\(240\) | −3.03857 | − | 40.5469i | −0.196139 | − | 2.61729i | ||||
\(241\) | 19.8025 | + | 6.10826i | 1.27559 | + | 0.393468i | 0.857287 | − | 0.514839i | \(-0.172148\pi\) |
0.418304 | + | 0.908307i | \(0.362625\pi\) | |||||||
\(242\) | 16.1127 | − | 10.9854i | 1.03576 | − | 0.706171i | ||||
\(243\) | −20.0022 | − | 3.01485i | −1.28314 | − | 0.193403i | ||||
\(244\) | 4.54071 | 0.290689 | ||||||||
\(245\) | 13.8002 | + | 20.5620i | 0.881665 | + | 1.31366i | ||||
\(246\) | 35.0138 | 2.23240 | ||||||||
\(247\) | −1.89656 | − | 0.285861i | −0.120675 | − | 0.0181889i | ||||
\(248\) | −2.45822 | + | 1.67599i | −0.156097 | + | 0.106425i | ||||
\(249\) | 18.2005 | + | 5.61411i | 1.15341 | + | 0.355780i | ||||
\(250\) | 1.20104 | + | 16.0268i | 0.0759607 | + | 1.01363i | ||||
\(251\) | −13.0986 | + | 6.30797i | −0.826778 | + | 0.398155i | −0.798906 | − | 0.601456i | \(-0.794587\pi\) |
−0.0278723 | + | 0.999611i | \(0.508873\pi\) | |||||||
\(252\) | 7.43710 | + | 3.27712i | 0.468493 | + | 0.206439i | ||||
\(253\) | −0.401962 | − | 0.193575i | −0.0252712 | − | 0.0121700i | ||||
\(254\) | −1.76876 | + | 4.50673i | −0.110982 | + | 0.282777i | ||||
\(255\) | −3.57600 | + | 47.7184i | −0.223938 | + | 2.98824i | ||||
\(256\) | 7.58704 | + | 19.3315i | 0.474190 | + | 1.20822i | ||||
\(257\) | −9.21608 | + | 2.84279i | −0.574884 | + | 0.177328i | −0.568545 | − | 0.822652i | \(-0.692494\pi\) |
−0.00633805 | + | 0.999980i | \(0.502017\pi\) | |||||||
\(258\) | 14.2292 | − | 17.8428i | 0.885869 | − | 1.11085i | ||||
\(259\) | 3.92975 | + | 6.30510i | 0.244183 | + | 0.391780i | ||||
\(260\) | 3.94094 | + | 4.94178i | 0.244407 | + | 0.306476i | ||||
\(261\) | −8.25338 | − | 5.62706i | −0.510871 | − | 0.348306i | ||||
\(262\) | 4.84677 | + | 4.49715i | 0.299435 | + | 0.277835i | ||||
\(263\) | −1.15056 | + | 1.99284i | −0.0709469 | + | 0.122884i | −0.899317 | − | 0.437298i | \(-0.855935\pi\) |
0.828370 | + | 0.560182i | \(0.189269\pi\) | |||||||
\(264\) | −0.700344 | − | 1.21303i | −0.0431032 | − | 0.0746569i | ||||
\(265\) | 8.30985 | − | 36.4078i | 0.510470 | − | 2.23652i | ||||
\(266\) | −5.22551 | + | 3.82723i | −0.320397 | + | 0.234663i | ||||
\(267\) | −1.60597 | − | 7.03620i | −0.0982836 | − | 0.430609i | ||||
\(268\) | −14.0791 | + | 13.0635i | −0.860017 | + | 0.797979i | ||||
\(269\) | −8.66602 | + | 1.30619i | −0.528377 | + | 0.0796400i | −0.407813 | − | 0.913066i | \(-0.633708\pi\) |
−0.120564 | + | 0.992706i | \(0.538470\pi\) | |||||||
\(270\) | −8.35205 | + | 1.25887i | −0.508289 | + | 0.0766123i | ||||
\(271\) | 19.1964 | − | 17.8116i | 1.16610 | − | 1.08198i | 0.170780 | − | 0.985309i | \(-0.445371\pi\) |
0.995316 | − | 0.0966704i | \(-0.0308193\pi\) | |||||||
\(272\) | −6.36762 | − | 27.8984i | −0.386094 | − | 1.69159i | ||||
\(273\) | 8.58053 | − | 1.59112i | 0.519317 | − | 0.0962991i | ||||
\(274\) | −0.639546 | + | 2.80203i | −0.0386364 | + | 0.169277i | ||||
\(275\) | 1.69528 | + | 2.93632i | 0.102229 | + | 0.177067i | ||||
\(276\) | −1.45509 | + | 2.52029i | −0.0875860 | + | 0.151703i | ||||
\(277\) | 10.2913 | + | 9.54893i | 0.618344 | + | 0.573740i | 0.925890 | − | 0.377794i | \(-0.123317\pi\) |
−0.307546 | + | 0.951533i | \(0.599508\pi\) | |||||||
\(278\) | −7.67220 | − | 5.23082i | −0.460148 | − | 0.313724i | ||||
\(279\) | −3.38828 | − | 4.24877i | −0.202851 | − | 0.254367i | ||||
\(280\) | −12.3833 | − | 1.44103i | −0.740044 | − | 0.0861182i | ||||
\(281\) | 7.22040 | − | 9.05410i | 0.430733 | − | 0.540122i | −0.518341 | − | 0.855174i | \(-0.673450\pi\) |
0.949075 | + | 0.315051i | \(0.102022\pi\) | |||||||
\(282\) | −4.10953 | + | 1.26762i | −0.244719 | + | 0.0754857i | ||||
\(283\) | −5.56583 | − | 14.1815i | −0.330854 | − | 0.843003i | −0.995405 | − | 0.0957591i | \(-0.969472\pi\) |
0.664550 | − | 0.747243i | \(-0.268623\pi\) | |||||||
\(284\) | −1.08625 | + | 14.4949i | −0.0644569 | + | 0.860117i | ||||
\(285\) | −4.08308 | + | 10.4035i | −0.241861 | + | 0.616251i | ||||
\(286\) | 1.03900 | + | 0.500356i | 0.0614374 | + | 0.0295867i | ||||
\(287\) | 4.16955 | − | 21.6048i | 0.246121 | − | 1.27529i | ||||
\(288\) | −13.6842 | + | 6.58995i | −0.806347 | + | 0.388316i | ||||
\(289\) | 1.24628 | + | 16.6305i | 0.0733107 | + | 0.978263i | ||||
\(290\) | −25.0706 | − | 7.73325i | −1.47219 | − | 0.454112i | ||||
\(291\) | −30.1693 | + | 20.5691i | −1.76856 | + | 1.20578i | ||||
\(292\) | −1.61409 | − | 0.243285i | −0.0944577 | − | 0.0142372i | ||||
\(293\) | −32.7724 | −1.91458 | −0.957292 | − | 0.289124i | \(-0.906636\pi\) | ||||
−0.957292 | + | 0.289124i | \(0.906636\pi\) | |||||||
\(294\) | 16.7788 | − | 24.2283i | 0.978562 | − | 1.41302i | ||||
\(295\) | −18.0960 | −1.05359 | ||||||||
\(296\) | −3.69847 | − | 0.557455i | −0.214969 | − | 0.0324014i | ||||
\(297\) | −0.492733 | + | 0.335940i | −0.0285913 | + | 0.0194932i | ||||
\(298\) | 5.46972 | + | 1.68719i | 0.316852 | + | 0.0977360i | ||||
\(299\) | 0.104575 | + | 1.39545i | 0.00604771 | + | 0.0807011i | ||||
\(300\) | 19.9263 | − | 9.59598i | 1.15044 | − | 0.554024i | ||||
\(301\) | −9.31522 | − | 10.9047i | −0.536920 | − | 0.628536i | ||||
\(302\) | −5.84761 | − | 2.81606i | −0.336492 | − | 0.162046i | ||||
\(303\) | 10.1458 | − | 25.8510i | 0.582860 | − | 1.48510i | ||||
\(304\) | 0.499447 | − | 6.66466i | 0.0286453 | − | 0.382244i | ||||
\(305\) | −4.64813 | − | 11.8432i | −0.266151 | − | 0.678141i | ||||
\(306\) | 24.3690 | − | 7.51684i | 1.39308 | − | 0.429709i | ||||
\(307\) | −17.7303 | + | 22.2331i | −1.01192 | + | 1.26891i | −0.0490953 | + | 0.998794i | \(0.515634\pi\) |
−0.962828 | + | 0.270117i | \(0.912938\pi\) | |||||||
\(308\) | 1.42435 | − | 0.492575i | 0.0811596 | − | 0.0280671i | ||||
\(309\) | −12.1571 | − | 15.2445i | −0.691591 | − | 0.867228i | ||||
\(310\) | −11.7931 | − | 8.04043i | −0.669806 | − | 0.456666i | ||||
\(311\) | 20.7212 | + | 19.2264i | 1.17499 | + | 1.09023i | 0.994292 | + | 0.106692i | \(0.0340259\pi\) |
0.180697 | + | 0.983539i | \(0.442165\pi\) | |||||||
\(312\) | −2.19668 | + | 3.80476i | −0.124362 | + | 0.215402i | ||||
\(313\) | −6.22203 | − | 10.7769i | −0.351690 | − | 0.609144i | 0.634856 | − | 0.772631i | \(-0.281059\pi\) |
−0.986546 | + | 0.163486i | \(0.947726\pi\) | |||||||
\(314\) | −2.73428 | + | 11.9797i | −0.154304 | + | 0.676051i | ||||
\(315\) | 0.934466 | − | 22.7524i | 0.0526512 | − | 1.28195i | ||||
\(316\) | −2.24366 | − | 9.83012i | −0.126216 | − | 0.552988i | ||||
\(317\) | −18.0226 | + | 16.7225i | −1.01225 | + | 0.939228i | −0.998158 | − | 0.0606723i | \(-0.980676\pi\) |
−0.0140897 | + | 0.999901i | \(0.504485\pi\) | |||||||
\(318\) | −43.9464 | + | 6.62386i | −2.46439 | + | 0.371448i | ||||
\(319\) | −1.83171 | + | 0.276086i | −0.102556 | + | 0.0154579i | ||||
\(320\) | −3.66732 | + | 3.40278i | −0.205010 | + | 0.190221i | ||||
\(321\) | 5.38934 | + | 23.6123i | 0.300804 | + | 1.31791i | ||||
\(322\) | 3.57072 | + | 3.09560i | 0.198988 | + | 0.172511i | ||||
\(323\) | −1.75022 | + | 7.66822i | −0.0973850 | + | 0.426671i | ||||
\(324\) | 6.55264 | + | 11.3495i | 0.364036 | + | 0.630528i | ||||
\(325\) | 5.31738 | − | 9.20998i | 0.294955 | − | 0.510878i | ||||
\(326\) | 19.6563 | + | 18.2383i | 1.08866 | + | 1.01013i | ||||
\(327\) | 18.2481 | + | 12.4413i | 1.00912 | + | 0.688007i | ||||
\(328\) | 6.90656 | + | 8.66055i | 0.381351 | + | 0.478199i | ||||
\(329\) | 0.292794 | + | 2.68668i | 0.0161423 | + | 0.148121i | ||||
\(330\) | 4.18967 | − | 5.25367i | 0.230633 | − | 0.289205i | ||||
\(331\) | 24.2299 | − | 7.47394i | 1.33180 | − | 0.410805i | 0.454497 | − | 0.890748i | \(-0.349819\pi\) |
0.877299 | + | 0.479944i | \(0.159343\pi\) | |||||||
\(332\) | −3.76933 | − | 9.60410i | −0.206869 | − | 0.527093i | ||||
\(333\) | 0.510541 | − | 6.81269i | 0.0279775 | − | 0.373333i | ||||
\(334\) | 6.04205 | − | 15.3949i | 0.330606 | − | 0.842371i | ||||
\(335\) | 48.4848 | + | 23.3490i | 2.64901 | + | 1.27569i | ||||
\(336\) | 7.76326 | + | 29.4015i | 0.423520 | + | 1.60398i | ||||
\(337\) | −24.8082 | + | 11.9470i | −1.35139 | + | 0.650794i | −0.962699 | − | 0.270575i | \(-0.912786\pi\) |
−0.388689 | + | 0.921369i | \(0.627072\pi\) | |||||||
\(338\) | 1.48446 | + | 19.8088i | 0.0807441 | + | 1.07746i | ||||
\(339\) | 32.0364 | + | 9.88191i | 1.73998 | + | 0.536712i | ||||
\(340\) | 21.4167 | − | 14.6017i | 1.16149 | − | 0.791887i | ||||
\(341\) | −0.996509 | − | 0.150200i | −0.0539640 | − | 0.00813376i | ||||
\(342\) | 5.95609 | 0.322069 | ||||||||
\(343\) | −12.9517 | − | 13.2383i | −0.699326 | − | 0.714803i | ||||
\(344\) | 7.22010 | 0.389282 | ||||||||
\(345\) | 8.06301 | + | 1.21530i | 0.434098 | + | 0.0654297i | ||||
\(346\) | −19.6456 | + | 13.3941i | −1.05615 | + | 0.720073i | ||||
\(347\) | −19.6622 | − | 6.06498i | −1.05552 | − | 0.325585i | −0.282039 | − | 0.959403i | \(-0.591011\pi\) |
−0.773483 | + | 0.633818i | \(0.781487\pi\) | |||||||
\(348\) | 0.902973 | + | 12.0493i | 0.0484044 | + | 0.645912i | ||||
\(349\) | 27.7821 | − | 13.3792i | 1.48714 | − | 0.716170i | 0.498561 | − | 0.866855i | \(-0.333862\pi\) |
0.988582 | + | 0.150684i | \(0.0481477\pi\) | |||||||
\(350\) | −9.16870 | − | 34.7243i | −0.490088 | − | 1.85609i | ||||
\(351\) | 1.68528 | + | 0.811587i | 0.0899535 | + | 0.0433193i | ||||
\(352\) | −1.02900 | + | 2.62186i | −0.0548460 | + | 0.139745i | ||||
\(353\) | 0.936425 | − | 12.4957i | 0.0498409 | − | 0.665080i | −0.915203 | − | 0.402993i | \(-0.867970\pi\) |
0.965044 | − | 0.262087i | \(-0.0844109\pi\) | |||||||
\(354\) | 7.86792 | + | 20.0471i | 0.418175 | + | 1.06549i | ||||
\(355\) | 38.9182 | − | 12.0047i | 2.06556 | − | 0.637142i | ||||
\(356\) | −2.43748 | + | 3.05651i | −0.129186 | + | 0.161994i | ||||
\(357\) | −3.87717 | − | 35.5770i | −0.205202 | − | 1.88293i | ||||
\(358\) | −24.8127 | − | 31.1142i | −1.31139 | − | 1.64444i | ||||
\(359\) | −13.3138 | − | 9.07722i | −0.702677 | − | 0.479077i | 0.158515 | − | 0.987357i | \(-0.449329\pi\) |
−0.861192 | + | 0.508279i | \(0.830282\pi\) | |||||||
\(360\) | 8.40366 | + | 7.79746i | 0.442912 | + | 0.410962i | ||||
\(361\) | 8.58150 | − | 14.8636i | 0.451658 | − | 0.782294i | ||||
\(362\) | 4.31996 | + | 7.48239i | 0.227052 | + | 0.393266i | ||||
\(363\) | −5.59974 | + | 24.5341i | −0.293910 | + | 1.28770i | ||||
\(364\) | −3.57179 | − | 3.09653i | −0.187213 | − | 0.162302i | ||||
\(365\) | 1.01773 | + | 4.45897i | 0.0532705 | + | 0.233393i | ||||
\(366\) | −11.0992 | + | 10.2986i | −0.580167 | + | 0.538316i | ||||
\(367\) | 7.54998 | − | 1.13798i | 0.394106 | − | 0.0594019i | 0.0509999 | − | 0.998699i | \(-0.483759\pi\) |
0.343106 | + | 0.939297i | \(0.388521\pi\) | |||||||
\(368\) | −4.82172 | + | 0.726758i | −0.251350 | + | 0.0378849i | ||||
\(369\) | −14.8321 | + | 13.7622i | −0.772127 | + | 0.716429i | ||||
\(370\) | −3.99282 | − | 17.4937i | −0.207577 | − | 0.909454i | ||||
\(371\) | −1.14611 | + | 27.9053i | −0.0595028 | + | 1.44877i | ||||
\(372\) | −1.46276 | + | 6.40878i | −0.0758407 | + | 0.332280i | ||||
\(373\) | −3.71749 | − | 6.43888i | −0.192484 | − | 0.333392i | 0.753589 | − | 0.657346i | \(-0.228321\pi\) |
−0.946073 | + | 0.323954i | \(0.894988\pi\) | |||||||
\(374\) | 2.36458 | − | 4.09557i | 0.122269 | − | 0.211777i | ||||
\(375\) | −15.2031 | − | 14.1064i | −0.785087 | − | 0.728454i | ||||
\(376\) | −1.12416 | − | 0.766437i | −0.0579739 | − | 0.0395260i | ||||
\(377\) | 3.62260 | + | 4.54260i | 0.186573 | + | 0.233956i | ||||
\(378\) | 5.96996 | − | 2.06456i | 0.307062 | − | 0.106190i | ||||
\(379\) | −19.5138 | + | 24.4695i | −1.00236 | + | 1.25691i | −0.0360947 | + | 0.999348i | \(0.511492\pi\) |
−0.966261 | + | 0.257566i | \(0.917080\pi\) | |||||||
\(380\) | 5.78494 | − | 1.78442i | 0.296761 | − | 0.0915387i | ||||
\(381\) | −2.28246 | − | 5.81563i | −0.116934 | − | 0.297944i | ||||
\(382\) | 0.607410 | − | 8.10532i | 0.0310778 | − | 0.414704i | ||||
\(383\) | −4.65715 | + | 11.8662i | −0.237969 | + | 0.606336i | −0.999107 | − | 0.0422544i | \(-0.986546\pi\) |
0.761137 | + | 0.648591i | \(0.224641\pi\) | |||||||
\(384\) | −20.8562 | − | 10.0438i | −1.06431 | − | 0.512547i | ||||
\(385\) | −2.74279 | − | 3.21080i | −0.139786 | − | 0.163637i | ||||
\(386\) | −5.78546 | + | 2.78613i | −0.294472 | + | 0.141810i | ||||
\(387\) | 0.985539 | + | 13.1511i | 0.0500977 | + | 0.668508i | ||||
\(388\) | 18.9003 | + | 5.82998i | 0.959519 | + | 0.295972i | ||||
\(389\) | −5.05583 | + | 3.44700i | −0.256341 | + | 0.174770i | −0.684671 | − | 0.728852i | \(-0.740054\pi\) |
0.428331 | + | 0.903622i | \(0.359102\pi\) | |||||||
\(390\) | −20.8414 | − | 3.14134i | −1.05535 | − | 0.159068i | ||||
\(391\) | 5.73863 | 0.290215 | ||||||||
\(392\) | 9.30247 | − | 0.628904i | 0.469846 | − | 0.0317645i | ||||
\(393\) | −8.53204 | −0.430384 | ||||||||
\(394\) | 25.5293 | + | 3.84793i | 1.28615 | + | 0.193856i | ||||
\(395\) | −23.3425 | + | 15.9147i | −1.17449 | + | 0.800754i | ||||
\(396\) | −1.32430 | − | 0.408492i | −0.0665485 | − | 0.0205275i | ||||
\(397\) | 2.40123 | + | 32.0422i | 0.120514 | + | 1.60815i | 0.650068 | + | 0.759876i | \(0.274740\pi\) |
−0.529554 | + | 0.848276i | \(0.677641\pi\) | |||||||
\(398\) | 8.59675 | − | 4.13998i | 0.430916 | − | 0.207518i | ||||
\(399\) | 1.58386 | − | 8.20690i | 0.0792923 | − | 0.410859i | ||||
\(400\) | 33.3877 | + | 16.0787i | 1.66939 | + | 0.803934i | ||||
\(401\) | 5.63677 | − | 14.3623i | 0.281487 | − | 0.717217i | −0.718283 | − | 0.695751i | \(-0.755072\pi\) |
0.999770 | − | 0.0214655i | \(-0.00683320\pi\) | |||||||
\(402\) | 4.78598 | − | 63.8644i | 0.238703 | − | 3.18527i | ||||
\(403\) | 1.15482 | + | 2.94243i | 0.0575256 | + | 0.146573i | ||||
\(404\) | −14.3746 | + | 4.43399i | −0.715165 | + | 0.220599i | ||||
\(405\) | 22.8945 | − | 28.7088i | 1.13764 | − | 1.42655i | ||||
\(406\) | 19.4899 | + | 2.26802i | 0.967269 | + | 0.112560i | ||||
\(407\) | −0.789903 | − | 0.990507i | −0.0391540 | − | 0.0490976i | ||||
\(408\) | 14.8861 | + | 10.1491i | 0.736969 | + | 0.502457i | ||||
\(409\) | −5.21695 | − | 4.84062i | −0.257961 | − | 0.239353i | 0.540581 | − | 0.841292i | \(-0.318205\pi\) |
−0.798542 | + | 0.601939i | \(0.794395\pi\) | |||||||
\(410\) | −26.5712 | + | 46.0227i | −1.31226 | + | 2.27290i | ||||
\(411\) | −1.85441 | − | 3.21193i | −0.0914713 | − | 0.158433i | ||||
\(412\) | −2.35026 | + | 10.2972i | −0.115789 | + | 0.507305i | ||||
\(413\) | 13.3067 | − | 2.46752i | 0.654782 | − | 0.121419i | ||||
\(414\) | −0.966982 | − | 4.23663i | −0.0475246 | − | 0.208219i | ||||
\(415\) | −21.1912 | + | 19.6626i | −1.04024 | + | 0.965199i | ||||
\(416\) | 8.73566 | − | 1.31669i | 0.428301 | − | 0.0645559i | ||||
\(417\) | 11.8487 | − | 1.78591i | 0.580234 | − | 0.0874562i | ||||
\(418\) | 0.809665 | − | 0.751259i | 0.0396020 | − | 0.0367453i | ||||
\(419\) | 1.49334 | + | 6.54274i | 0.0729543 | + | 0.319634i | 0.998217 | − | 0.0596938i | \(-0.0190124\pi\) |
−0.925262 | + | 0.379328i | \(0.876155\pi\) | |||||||
\(420\) | −22.2223 | + | 16.2759i | −1.08434 | + | 0.794183i | ||||
\(421\) | 1.57074 | − | 6.88188i | 0.0765534 | − | 0.335402i | −0.922119 | − | 0.386905i | \(-0.873544\pi\) |
0.998673 | + | 0.0515029i | \(0.0164011\pi\) | |||||||
\(422\) | −9.30542 | − | 16.1175i | −0.452981 | − | 0.784586i | ||||
\(423\) | 1.24258 | − | 2.15222i | 0.0604165 | − | 0.104644i | ||||
\(424\) | −10.3069 | − | 9.56344i | −0.500549 | − | 0.464442i | ||||
\(425\) | −36.0339 | − | 24.5675i | −1.74790 | − | 1.19170i | ||||
\(426\) | −30.2202 | − | 37.8949i | −1.46417 | − | 1.83602i | ||||
\(427\) | 5.03288 | + | 8.07502i | 0.243558 | + | 0.390778i | ||||
\(428\) | 8.17976 | − | 10.2571i | 0.395383 | − | 0.495795i | ||||
\(429\) | −1.42202 | + | 0.438634i | −0.0686556 | + | 0.0211774i | ||||
\(430\) | 12.6547 | + | 32.2436i | 0.610262 | + | 1.55492i | ||||
\(431\) | 1.20472 | − | 16.0759i | 0.0580292 | − | 0.774346i | −0.889959 | − | 0.456041i | \(-0.849267\pi\) |
0.947988 | − | 0.318306i | \(-0.103114\pi\) | |||||||
\(432\) | −2.38127 | + | 6.06738i | −0.114569 | + | 0.291917i | ||||
\(433\) | −29.3462 | − | 14.1324i | −1.41029 | − | 0.679159i | −0.435069 | − | 0.900397i | \(-0.643276\pi\) |
−0.975220 | + | 0.221237i | \(0.928990\pi\) | |||||||
\(434\) | 9.76837 | + | 4.30439i | 0.468897 | + | 0.206617i | ||||
\(435\) | 30.5032 | − | 14.6896i | 1.46252 | − | 0.704310i | ||||
\(436\) | −0.894032 | − | 11.9300i | −0.0428164 | − | 0.571345i | ||||
\(437\) | 1.28074 | + | 0.395055i | 0.0612659 | + | 0.0188980i | ||||
\(438\) | 4.49725 | − | 3.06617i | 0.214887 | − | 0.146507i | ||||
\(439\) | −11.1178 | − | 1.67574i | −0.530625 | − | 0.0799789i | −0.121735 | − | 0.992563i | \(-0.538846\pi\) |
−0.408890 | + | 0.912584i | \(0.634084\pi\) | |||||||
\(440\) | 2.12590 | 0.101348 | ||||||||
\(441\) | 2.41530 | + | 16.8582i | 0.115014 | + | 0.802771i | ||||
\(442\) | −14.8333 | −0.705550 | ||||||||
\(443\) | 6.01455 | + | 0.906547i | 0.285760 | + | 0.0430714i | 0.290358 | − | 0.956918i | \(-0.406226\pi\) |
−0.00459828 | + | 0.999989i | \(0.501464\pi\) | |||||||
\(444\) | −6.82800 | + | 4.65525i | −0.324043 | + | 0.220928i | ||||
\(445\) | 10.4672 | + | 3.22871i | 0.496194 | + | 0.153056i | ||||
\(446\) | −0.244458 | − | 3.26207i | −0.0115754 | − | 0.154464i | ||||
\(447\) | −6.65497 | + | 3.20486i | −0.314769 | + | 0.151585i | ||||
\(448\) | 2.23274 | − | 3.00228i | 0.105487 | − | 0.141844i | ||||
\(449\) | −5.94996 | − | 2.86535i | −0.280796 | − | 0.135224i | 0.288185 | − | 0.957575i | \(-0.406948\pi\) |
−0.568981 | + | 0.822350i | \(0.692662\pi\) | |||||||
\(450\) | −12.0654 | + | 30.7422i | −0.568770 | + | 1.44920i | ||||
\(451\) | −0.280396 | + | 3.74163i | −0.0132033 | + | 0.176186i | ||||
\(452\) | −6.63474 | − | 16.9051i | −0.312072 | − | 0.795147i | ||||
\(453\) | 8.00327 | − | 2.46868i | 0.376026 | − | 0.115989i | ||||
\(454\) | 19.0899 | − | 23.9380i | 0.895934 | − | 1.12347i | ||||
\(455\) | −4.42018 | + | 12.4858i | −0.207221 | + | 0.585345i | ||||
\(456\) | 2.62356 | + | 3.28984i | 0.122859 | + | 0.154061i | ||||
\(457\) | −21.7030 | − | 14.7968i | −1.01522 | − | 0.692167i | −0.0631390 | − | 0.998005i | \(-0.520111\pi\) |
−0.952084 | + | 0.305838i | \(0.901064\pi\) | |||||||
\(458\) | 28.0425 | + | 26.0196i | 1.31034 | + | 1.21582i | ||||
\(459\) | 3.83539 | − | 6.64308i | 0.179020 | − | 0.310073i | ||||
\(460\) | −2.20847 | − | 3.82518i | −0.102970 | − | 0.178350i | ||||
\(461\) | −3.21905 | + | 14.1036i | −0.149926 | + | 0.656870i | 0.842978 | + | 0.537949i | \(0.180801\pi\) |
−0.992904 | + | 0.118921i | \(0.962057\pi\) | |||||||
\(462\) | −2.36446 | + | 4.43454i | −0.110005 | + | 0.206314i | ||||
\(463\) | 7.78614 | + | 34.1133i | 0.361853 | + | 1.58538i | 0.748489 | + | 0.663147i | \(0.230780\pi\) |
−0.386636 | + | 0.922232i | \(0.626363\pi\) | |||||||
\(464\) | −14.8414 | + | 13.7708i | −0.688995 | + | 0.639294i | ||||
\(465\) | 18.2130 | − | 2.74516i | 0.844606 | − | 0.127304i | ||||
\(466\) | −18.9057 | + | 2.84957i | −0.875787 | + | 0.132004i | ||||
\(467\) | 8.52351 | − | 7.90866i | 0.394421 | − | 0.365969i | −0.457886 | − | 0.889011i | \(-0.651393\pi\) |
0.852307 | + | 0.523042i | \(0.175203\pi\) | |||||||
\(468\) | 0.967272 | + | 4.23789i | 0.0447121 | + | 0.195897i | ||||
\(469\) | −38.8367 | − | 10.5583i | −1.79331 | − | 0.487536i | ||||
\(470\) | 1.45245 | − | 6.36359i | 0.0669965 | − | 0.293531i | ||||
\(471\) | −7.92824 | − | 13.7321i | −0.365314 | − | 0.632742i | ||||
\(472\) | −3.40663 | + | 5.90045i | −0.156803 | + | 0.271590i | ||||
\(473\) | 1.79276 | + | 1.66344i | 0.0824312 | + | 0.0764850i | ||||
\(474\) | 27.7797 | + | 18.9399i | 1.27596 | + | 0.869936i | ||||
\(475\) | −6.35071 | − | 7.96353i | −0.291390 | − | 0.365392i | ||||
\(476\) | −13.7576 | + | 13.6576i | −0.630578 | + | 0.625994i | ||||
\(477\) | 16.0125 | − | 20.0790i | 0.733162 | − | 0.919356i | ||||
\(478\) | 45.1283 | − | 13.9202i | 2.06412 | − | 0.636696i | ||||
\(479\) | −1.86312 | − | 4.74716i | −0.0851283 | − | 0.216903i | 0.881970 | − | 0.471305i | \(-0.156217\pi\) |
−0.967099 | + | 0.254401i | \(0.918122\pi\) | |||||||
\(480\) | 3.84692 | − | 51.3336i | 0.175587 | − | 2.34305i | ||||
\(481\) | −1.45177 | + | 3.69905i | −0.0661951 | + | 0.168662i | ||||
\(482\) | 33.7246 | + | 16.2409i | 1.53612 | + | 0.739754i | ||||
\(483\) | −6.09479 | + | 0.205788i | −0.277323 | + | 0.00936367i | ||||
\(484\) | 12.2815 | − | 5.91448i | 0.558252 | − | 0.268840i | ||||
\(485\) | −4.14150 | − | 55.2644i | −0.188056 | − | 2.50943i | ||||
\(486\) | −34.9141 | − | 10.7696i | −1.58374 | − | 0.488518i | ||||
\(487\) | 16.3386 | − | 11.1395i | 0.740375 | − | 0.504779i | −0.133429 | − | 0.991058i | \(-0.542599\pi\) |
0.873803 | + | 0.486280i | \(0.161646\pi\) | |||||||
\(488\) | −4.73668 | − | 0.713939i | −0.214419 | − | 0.0323185i | ||||
\(489\) | −34.6020 | −1.56476 | ||||||||
\(490\) | 19.1130 | + | 40.4407i | 0.863437 | + | 1.82693i | ||||
\(491\) | −9.54322 | −0.430680 | −0.215340 | − | 0.976539i | \(-0.569086\pi\) | ||||
−0.215340 | + | 0.976539i | \(0.569086\pi\) | |||||||
\(492\) | 24.2015 | + | 3.64779i | 1.09109 | + | 0.164455i | ||||
\(493\) | 19.6868 | − | 13.4222i | 0.886647 | − | 0.604505i | ||||
\(494\) | −3.31047 | − | 1.02115i | −0.148945 | − | 0.0459435i | ||||
\(495\) | 0.290184 | + | 3.87224i | 0.0130428 | + | 0.174044i | ||||
\(496\) | −9.92370 | + | 4.77900i | −0.445587 | + | 0.214584i | ||||
\(497\) | −26.9813 | + | 14.1343i | −1.21027 | + | 0.634011i | ||||
\(498\) | 30.9964 | + | 14.9271i | 1.38898 | + | 0.668897i | ||||
\(499\) | −6.99767 | + | 17.8298i | −0.313259 | + | 0.798170i | 0.684356 | + | 0.729148i | \(0.260083\pi\) |
−0.997615 | + | 0.0690224i | \(0.978012\pi\) | |||||||
\(500\) | −0.839538 | + | 11.2028i | −0.0375453 | + | 0.501007i | ||||
\(501\) | 7.79685 | + | 19.8661i | 0.348338 | + | 0.887550i | ||||
\(502\) | −25.0935 | + | 7.74032i | −1.11998 | + | 0.345467i | ||||
\(503\) | −9.58470 | + | 12.0188i | −0.427361 | + | 0.535893i | −0.948163 | − | 0.317784i | \(-0.897061\pi\) |
0.520802 | + | 0.853677i | \(0.325633\pi\) | |||||||
\(504\) | −7.24281 | − | 4.58790i | −0.322620 | − | 0.204361i | ||||
\(505\) | 26.2796 | + | 32.9535i | 1.16943 | + | 1.46641i | ||||
\(506\) | −0.665829 | − | 0.453954i | −0.0295997 | − | 0.0201807i | ||||
\(507\) | −18.7907 | − | 17.4352i | −0.834525 | − | 0.774326i | ||||
\(508\) | −1.69208 | + | 2.93077i | −0.0750741 | + | 0.130032i | ||||
\(509\) | −13.2541 | − | 22.9567i | −0.587476 | − | 1.01754i | −0.994562 | − | 0.104148i | \(-0.966788\pi\) |
0.407086 | − | 0.913390i | \(-0.366545\pi\) | |||||||
\(510\) | −19.2333 | + | 84.2666i | −0.851665 | + | 3.73139i | ||||
\(511\) | −1.35640 | − | 3.14010i | −0.0600034 | − | 0.138910i | ||||
\(512\) | 3.92703 | + | 17.2055i | 0.173552 | + | 0.760381i | ||||
\(513\) | 1.31329 | − | 1.21856i | 0.0579832 | − | 0.0538006i | ||||
\(514\) | −17.2261 | + | 2.59641i | −0.759809 | + | 0.114523i | ||||
\(515\) | 29.2633 | − | 4.41073i | 1.28950 | − | 0.194360i | ||||
\(516\) | 11.6941 | − | 10.8505i | 0.514803 | − | 0.477667i | ||||
\(517\) | −0.102550 | − | 0.449301i | −0.00451015 | − | 0.0197603i | ||||
\(518\) | 5.32149 | + | 12.3194i | 0.233813 | + | 0.541284i | ||||
\(519\) | 6.82755 | − | 29.9135i | 0.299696 | − | 1.31306i | ||||
\(520\) | −3.33402 | − | 5.77470i | −0.146207 | − | 0.253237i | ||||
\(521\) | 2.47584 | − | 4.28828i | 0.108468 | − | 0.187873i | −0.806682 | − | 0.590986i | \(-0.798739\pi\) |
0.915150 | + | 0.403114i | \(0.132072\pi\) | |||||||
\(522\) | −13.2264 | − | 12.2723i | −0.578905 | − | 0.537145i | ||||
\(523\) | 6.80604 | + | 4.64028i | 0.297608 | + | 0.202905i | 0.702913 | − | 0.711276i | \(-0.251882\pi\) |
−0.405305 | + | 0.914181i | \(0.632835\pi\) | |||||||
\(524\) | 2.88156 | + | 3.61337i | 0.125882 | + | 0.157851i | ||||
\(525\) | 39.1512 | + | 24.8000i | 1.70870 | + | 1.08236i | ||||
\(526\) | −2.59150 | + | 3.24964i | −0.112995 | + | 0.141691i | ||||
\(527\) | 12.3867 | − | 3.82079i | 0.539574 | − | 0.166436i | ||||
\(528\) | −1.89447 | − | 4.82704i | −0.0824463 | − | 0.210070i | ||||
\(529\) | −1.64572 | + | 21.9605i | −0.0715529 | + | 0.954806i | ||||
\(530\) | 24.6435 | − | 62.7906i | 1.07044 | − | 2.72745i | ||||
\(531\) | −11.2124 | − | 5.39961i | −0.486577 | − | 0.234323i | ||||
\(532\) | −4.01059 | + | 2.10098i | −0.173881 | + | 0.0910890i | ||||
\(533\) | 10.6033 | − | 5.10629i | 0.459281 | − | 0.221178i | ||||
\(534\) | −0.974188 | − | 12.9996i | −0.0421572 | − | 0.562549i | ||||
\(535\) | −35.1262 | − | 10.8350i | −1.51864 | − | 0.468437i | ||||
\(536\) | 16.7407 | − | 11.4136i | 0.723088 | − | 0.492993i | ||||
\(537\) | 50.7811 | + | 7.65402i | 2.19137 | + | 0.330295i | ||||
\(538\) | −15.8299 | −0.682477 | ||||||||
\(539\) | 2.45471 | + | 1.98704i | 0.105732 | + | 0.0855877i | ||||
\(540\) | −5.90408 | −0.254071 | ||||||||
\(541\) | 22.5353 | + | 3.39665i | 0.968867 | + | 0.146033i | 0.614365 | − | 0.789022i | \(-0.289412\pi\) |
0.354502 | + | 0.935055i | \(0.384650\pi\) | |||||||
\(542\) | 39.0815 | − | 26.6453i | 1.67869 | − | 1.14451i | ||||
\(543\) | −10.6539 | − | 3.28629i | −0.457202 | − | 0.141028i | ||||
\(544\) | −2.70736 | − | 36.1272i | −0.116077 | − | 1.54894i | ||||
\(545\) | −30.2011 | + | 14.5441i | −1.29367 | + | 0.623001i | ||||
\(546\) | 15.7539 | − | 0.531924i | 0.674206 | − | 0.0227643i | ||||
\(547\) | −37.1562 | − | 17.8935i | −1.58868 | − | 0.765070i | −0.589594 | − | 0.807700i | \(-0.700712\pi\) |
−0.999091 | + | 0.0426300i | \(0.986426\pi\) | |||||||
\(548\) | −0.733973 | + | 1.87013i | −0.0313538 | + | 0.0798881i | ||||
\(549\) | 0.653856 | − | 8.72510i | 0.0279059 | − | 0.372378i | ||||
\(550\) | 2.23744 | + | 5.70091i | 0.0954049 | + | 0.243088i | ||||
\(551\) | 5.31765 | − | 1.64028i | 0.226539 | − | 0.0698782i | ||||
\(552\) | 1.91415 | − | 2.40027i | 0.0814718 | − | 0.102162i | ||||
\(553\) | 14.9947 | − | 14.8857i | 0.637638 | − | 0.633003i | ||||
\(554\) | 15.8105 | + | 19.8258i | 0.671725 | + | 0.842316i | ||||
\(555\) | 19.1315 | + | 13.0436i | 0.812088 | + | 0.553672i | ||||
\(556\) | −4.75806 | − | 4.41484i | −0.201787 | − | 0.187231i | ||||
\(557\) | −21.1079 | + | 36.5600i | −0.894372 | + | 1.54910i | −0.0597929 | + | 0.998211i | \(0.519044\pi\) |
−0.834579 | + | 0.550888i | \(0.814289\pi\) | |||||||
\(558\) | −4.90796 | − | 8.50084i | −0.207771 | − | 0.359869i | ||||
\(559\) | 1.70692 | − | 7.47852i | 0.0721952 | − | 0.316308i | ||||
\(560\) | −44.5371 | − | 12.1080i | −1.88204 | − | 0.511657i | ||||
\(561\) | 1.35797 | + | 5.94964i | 0.0573334 | + | 0.251194i | ||||
\(562\) | 15.3337 | − | 14.2276i | 0.646815 | − | 0.600156i | ||||
\(563\) | 22.6242 | − | 3.41006i | 0.953498 | − | 0.143717i | 0.346174 | − | 0.938170i | \(-0.387481\pi\) |
0.607325 | + | 0.794454i | \(0.292243\pi\) | |||||||
\(564\) | −2.97256 | + | 0.448042i | −0.125167 | + | 0.0188660i | ||||
\(565\) | −37.3006 | + | 34.6099i | −1.56925 | + | 1.45605i | ||||
\(566\) | −6.12327 | − | 26.8278i | −0.257380 | − | 1.12766i | ||||
\(567\) | −12.9207 | + | 24.2327i | −0.542617 | + | 1.01768i | ||||
\(568\) | 3.41218 | − | 14.9497i | 0.143172 | − | 0.627277i | ||||
\(569\) | 18.9217 | + | 32.7734i | 0.793240 | + | 1.37393i | 0.923951 | + | 0.382512i | \(0.124941\pi\) |
−0.130711 | + | 0.991421i | \(0.541726\pi\) | |||||||
\(570\) | −10.0935 | + | 17.4824i | −0.422769 | + | 0.732257i | ||||
\(571\) | 14.2785 | + | 13.2485i | 0.597538 | + | 0.554434i | 0.919885 | − | 0.392187i | \(-0.128281\pi\) |
−0.322348 | + | 0.946621i | \(0.604472\pi\) | |||||||
\(572\) | 0.666028 | + | 0.454090i | 0.0278480 | + | 0.0189865i | ||||
\(573\) | 6.53959 | + | 8.20039i | 0.273195 | + | 0.342576i | ||||
\(574\) | 13.2634 | − | 37.4656i | 0.553604 | − | 1.56378i | ||||
\(575\) | −4.63349 | + | 5.81021i | −0.193230 | + | 0.242303i | ||||
\(576\) | −3.28765 | + | 1.01411i | −0.136985 | + | 0.0422544i | ||||
\(577\) | 12.7947 | + | 32.6004i | 0.532651 | + | 1.35717i | 0.903543 | + | 0.428497i | \(0.140957\pi\) |
−0.370892 | + | 0.928676i | \(0.620948\pi\) | |||||||
\(578\) | −2.25111 | + | 30.0390i | −0.0936340 | + | 1.24946i | ||||
\(579\) | 3.02734 | − | 7.71354i | 0.125812 | − | 0.320564i | ||||
\(580\) | −16.5231 | − | 7.95710i | −0.686084 | − | 0.330401i | ||||
\(581\) | 12.9017 | − | 17.3483i | 0.535252 | − | 0.719730i | ||||
\(582\) | −59.4225 | + | 28.6164i | −2.46314 | + | 1.18619i | ||||
\(583\) | −0.355905 | − | 4.74923i | −0.0147401 | − | 0.196693i | ||||
\(584\) | 1.64550 | + | 0.507570i | 0.0680914 | + | 0.0210034i | ||||
\(585\) | 10.0633 | − | 6.86102i | 0.416065 | − | 0.283668i | ||||
\(586\) | −58.5344 | − | 8.82264i | −2.41803 | − | 0.364460i | ||||
\(587\) | 37.5954 | 1.55173 | 0.775864 | − | 0.630900i | \(-0.217314\pi\) | ||||
0.775864 | + | 0.630900i | \(0.217314\pi\) | |||||||
\(588\) | 14.1217 | − | 14.9985i | 0.582368 | − | 0.618530i | ||||
\(589\) | 3.02747 | 0.124745 | ||||||||
\(590\) | −32.3210 | − | 4.87161i | −1.33064 | − | 0.200561i | ||||
\(591\) | −27.5270 | + | 18.7676i | −1.13231 | + | 0.771994i | ||||
\(592\) | −13.2316 | − | 4.08141i | −0.543816 | − | 0.167745i | ||||
\(593\) | 0.650948 | + | 8.68630i | 0.0267312 | + | 0.356704i | 0.994491 | + | 0.104827i | \(0.0334288\pi\) |
−0.967759 | + | 0.251877i | \(0.918952\pi\) | |||||||
\(594\) | −0.970504 | + | 0.467370i | −0.0398203 | + | 0.0191764i | ||||
\(595\) | 49.7052 | + | 21.9024i | 2.03771 | + | 0.897909i | ||||
\(596\) | 3.60489 | + | 1.73602i | 0.147662 | + | 0.0711103i | ||||
\(597\) | −4.49840 | + | 11.4617i | −0.184107 | + | 0.469097i | ||||
\(598\) | −0.188890 | + | 2.52056i | −0.00772427 | + | 0.103073i | ||||
\(599\) | −5.00174 | − | 12.7442i | −0.204366 | − | 0.520715i | 0.791540 | − | 0.611118i | \(-0.209280\pi\) |
−0.995905 | + | 0.0904028i | \(0.971185\pi\) | |||||||
\(600\) | −22.2950 | + | 6.87711i | −0.910191 | + | 0.280757i | ||||
\(601\) | 2.24775 | − | 2.81859i | 0.0916876 | − | 0.114973i | −0.733871 | − | 0.679288i | \(-0.762289\pi\) |
0.825559 | + | 0.564316i | \(0.190860\pi\) | |||||||
\(602\) | −13.7022 | − | 21.9845i | −0.558459 | − | 0.896021i | ||||
\(603\) | 23.0745 | + | 28.9345i | 0.939666 | + | 1.17830i | ||||
\(604\) | −3.74848 | − | 2.55567i | −0.152524 | − | 0.103989i | ||||
\(605\) | −27.9984 | − | 25.9788i | −1.13830 | − | 1.05619i | ||||
\(606\) | 25.0806 | − | 43.4409i | 1.01883 | − | 1.76467i | ||||
\(607\) | −20.9119 | − | 36.2205i | −0.848789 | − | 1.47015i | −0.882289 | − | 0.470708i | \(-0.843999\pi\) |
0.0334999 | − | 0.999439i | \(-0.489335\pi\) | |||||||
\(608\) | 1.88282 | − | 8.24918i | 0.0763585 | − | 0.334548i | ||||
\(609\) | −20.4272 | + | 14.9612i | −0.827754 | + | 0.606258i | ||||
\(610\) | −5.11366 | − | 22.4044i | −0.207046 | − | 0.907127i | ||||
\(611\) | −1.05963 | + | 0.983196i | −0.0428682 | + | 0.0397758i | ||||
\(612\) | 17.6269 | − | 2.65683i | 0.712527 | − | 0.107396i | ||||
\(613\) | −21.4186 | + | 3.22833i | −0.865089 | + | 0.130391i | −0.566571 | − | 0.824013i | \(-0.691730\pi\) |
−0.298518 | + | 0.954404i | \(0.596492\pi\) | |||||||
\(614\) | −37.6533 | + | 34.9372i | −1.51956 | + | 1.40995i | ||||
\(615\) | −15.2597 | − | 66.8573i | −0.615332 | − | 2.69595i | ||||
\(616\) | −1.56327 | + | 0.289883i | −0.0629858 | + | 0.0116797i | ||||
\(617\) | 0.123935 | − | 0.542996i | 0.00498945 | − | 0.0218602i | −0.972372 | − | 0.233437i | \(-0.925003\pi\) |
0.977361 | + | 0.211577i | \(0.0678599\pi\) | |||||||
\(618\) | −17.6096 | − | 30.5008i | −0.708364 | − | 1.22692i | ||||
\(619\) | −8.72651 | + | 15.1148i | −0.350748 | + | 0.607513i | −0.986381 | − | 0.164478i | \(-0.947406\pi\) |
0.635633 | + | 0.771992i | \(0.280739\pi\) | |||||||
\(620\) | −7.31374 | − | 6.78616i | −0.293727 | − | 0.272539i | ||||
\(621\) | −1.07999 | − | 0.736322i | −0.0433384 | − | 0.0295476i | ||||
\(622\) | 31.8339 | + | 39.9185i | 1.27642 | + | 1.60058i | ||||
\(623\) | −8.13726 | − | 0.946924i | −0.326012 | − | 0.0379377i | ||||
\(624\) | −10.1409 | + | 12.7162i | −0.405959 | + | 0.509057i | ||||
\(625\) | −5.82732 | + | 1.79749i | −0.233093 | + | 0.0718996i | ||||
\(626\) | −8.21186 | − | 20.9235i | −0.328212 | − | 0.836270i | ||||
\(627\) | −0.106513 | + | 1.42131i | −0.00425370 | + | 0.0567617i | ||||
\(628\) | −3.13799 | + | 7.99546i | −0.125219 | + | 0.319054i | ||||
\(629\) | 14.6821 | + | 7.07051i | 0.585412 | + | 0.281919i | ||||
\(630\) | 7.79419 | − | 40.3862i | 0.310528 | − | 1.60902i | ||||
\(631\) | 28.2950 | − | 13.6262i | 1.12641 | − | 0.542450i | 0.224542 | − | 0.974464i | \(-0.427912\pi\) |
0.901866 | + | 0.432015i | \(0.142197\pi\) | |||||||
\(632\) | 0.794896 | + | 10.6071i | 0.0316193 | + | 0.421930i | ||||
\(633\) | 22.9491 | + | 7.07884i | 0.912143 | + | 0.281359i | ||||
\(634\) | −36.6917 | + | 25.0160i | −1.45722 | + | 0.993513i | ||||
\(635\) | 9.37626 | + | 1.41324i | 0.372086 | + | 0.0560829i | ||||
\(636\) | −31.0658 | −1.23184 | ||||||||
\(637\) | 1.54781 | − | 9.78410i | 0.0613264 | − | 0.387660i | ||||
\(638\) | −3.34593 | −0.132467 | ||||||||
\(639\) | 27.6960 | + | 4.17451i | 1.09564 | + | 0.165141i | ||||
\(640\) | 29.0291 | − | 19.7917i | 1.14747 | − | 0.782335i | ||||
\(641\) | 18.2749 | + | 5.63705i | 0.721814 | + | 0.222650i | 0.633831 | − | 0.773472i | \(-0.281482\pi\) |
0.0879835 | + | 0.996122i | \(0.471958\pi\) | |||||||
\(642\) | 3.26920 | + | 43.6245i | 0.129025 | + | 1.72172i | ||||
\(643\) | 25.9778 | − | 12.5103i | 1.02447 | − | 0.493356i | 0.155294 | − | 0.987868i | \(-0.450367\pi\) |
0.869171 | + | 0.494512i | \(0.164653\pi\) | |||||||
\(644\) | 2.14557 | + | 2.51168i | 0.0845474 | + | 0.0989739i | ||||
\(645\) | −40.2714 | − | 19.3937i | −1.58569 | − | 0.763626i | ||||
\(646\) | −5.19041 | + | 13.2250i | −0.204214 | + | 0.520329i | ||||
\(647\) | 2.37440 | − | 31.6841i | 0.0933472 | − | 1.24563i | −0.732117 | − | 0.681178i | \(-0.761468\pi\) |
0.825465 | − | 0.564454i | \(-0.190913\pi\) | |||||||
\(648\) | −5.05095 | − | 12.8696i | −0.198420 | − | 0.505566i | ||||
\(649\) | −2.20527 | + | 0.680237i | −0.0865645 | + | 0.0267016i | ||||
\(650\) | 11.9767 | − | 15.0184i | 0.469766 | − | 0.589068i | ||||
\(651\) | −13.0185 | + | 4.50211i | −0.510233 | + | 0.176452i | ||||
\(652\) | 11.6863 | + | 14.6541i | 0.457670 | + | 0.573900i | ||||
\(653\) | 7.27298 | + | 4.95863i | 0.284614 | + | 0.194046i | 0.697209 | − | 0.716868i | \(-0.254425\pi\) |
−0.412595 | + | 0.910915i | \(0.635378\pi\) | |||||||
\(654\) | 29.2434 | + | 27.1339i | 1.14351 | + | 1.06102i | ||||
\(655\) | 6.47478 | − | 11.2146i | 0.252991 | − | 0.438192i | ||||
\(656\) | 20.5046 | + | 35.5150i | 0.800570 | + | 1.38663i | ||||
\(657\) | −0.699907 | + | 3.06649i | −0.0273060 | + | 0.119635i | ||||
\(658\) | −0.200324 | + | 4.87747i | −0.00780943 | + | 0.190144i | ||||
\(659\) | −2.14561 | − | 9.40054i | −0.0835812 | − | 0.366193i | 0.915790 | − | 0.401658i | \(-0.131566\pi\) |
−0.999371 | + | 0.0354649i | \(0.988709\pi\) | |||||||
\(660\) | 3.44323 | − | 3.19485i | 0.134027 | − | 0.124359i | ||||
\(661\) | −22.9443 | + | 3.45830i | −0.892431 | + | 0.134512i | −0.579220 | − | 0.815171i | \(-0.696643\pi\) |
−0.313211 | + | 0.949684i | \(0.601405\pi\) | |||||||
\(662\) | 45.2888 | − | 6.82619i | 1.76020 | − | 0.265308i | ||||
\(663\) | 14.0316 | − | 13.0195i | 0.544944 | − | 0.505634i | ||||
\(664\) | 2.42195 | + | 10.6112i | 0.0939898 | + | 0.411796i | ||||
\(665\) | 9.58532 | + | 8.30989i | 0.371703 | + | 0.322244i | ||||
\(666\) | 2.74591 | − | 12.0306i | 0.106402 | − | 0.466178i | ||||
\(667\) | −2.03008 | − | 3.51619i | −0.0786048 | − | 0.136148i | ||||
\(668\) | 5.78012 | − | 10.0115i | 0.223640 | − | 0.387355i | ||||
\(669\) | 3.09442 | + | 2.87120i | 0.119637 | + | 0.111007i | ||||
\(670\) | 80.3124 | + | 54.7561i | 3.10274 | + | 2.11541i | ||||
\(671\) | −1.01164 | − | 1.26855i | −0.0390539 | − | 0.0489720i | ||||
\(672\) | 4.17091 | + | 38.2723i | 0.160896 | + | 1.47639i | ||||
\(673\) | 22.0430 | − | 27.6411i | 0.849696 | − | 1.06549i | −0.147381 | − | 0.989080i | \(-0.547084\pi\) |
0.997077 | − | 0.0764054i | \(-0.0243443\pi\) | |||||||
\(674\) | −47.5259 | + | 14.6598i | −1.83063 | + | 0.564674i | ||||
\(675\) | 3.62917 | + | 9.24699i | 0.139687 | + | 0.355917i | ||||
\(676\) | −1.03765 | + | 13.8465i | −0.0399096 | + | 0.532556i | ||||
\(677\) | 7.43593 | − | 18.9464i | 0.285786 | − | 0.728171i | −0.713826 | − | 0.700323i | \(-0.753039\pi\) |
0.999612 | − | 0.0278480i | \(-0.00886545\pi\) | |||||||
\(678\) | 54.5595 | + | 26.2745i | 2.09535 | + | 1.00907i | ||||
\(679\) | 10.5811 | + | 40.0735i | 0.406067 | + | 1.53788i | ||||
\(680\) | −24.6369 | + | 11.8645i | −0.944781 | + | 0.454983i | ||||
\(681\) | 2.95260 | + | 39.3998i | 0.113144 | + | 1.50980i | ||||
\(682\) | −1.73942 | − | 0.536540i | −0.0666058 | − | 0.0205452i | ||||
\(683\) | −20.3411 | + | 13.8683i | −0.778329 | + | 0.530656i | −0.886086 | − | 0.463522i | \(-0.846586\pi\) |
0.107757 | + | 0.994177i | \(0.465633\pi\) | |||||||
\(684\) | 4.11684 | + | 0.620514i | 0.157411 | + | 0.0237260i | ||||
\(685\) | 5.62908 | 0.215076 | ||||||||
\(686\) | −19.5690 | − | 27.1316i | −0.747148 | − | 1.03589i | ||||
\(687\) | −49.3647 | −1.88338 | ||||||||
\(688\) | 26.4310 | + | 3.98384i | 1.00767 | + | 0.151882i | ||||
\(689\) | −12.3424 | + | 8.41491i | −0.470208 | + | 0.320583i | ||||
\(690\) | 14.0741 | + | 4.34128i | 0.535791 | + | 0.165270i | ||||
\(691\) | −0.0378570 | − | 0.505166i | −0.00144015 | − | 0.0192174i | 0.996437 | − | 0.0843353i | \(-0.0268767\pi\) |
−0.997878 | + | 0.0651179i | \(0.979258\pi\) | |||||||
\(692\) | −14.9744 | + | 7.21130i | −0.569242 | + | 0.274133i | ||||
\(693\) | −0.741393 | − | 2.80785i | −0.0281632 | − | 0.106661i | ||||
\(694\) | −33.4857 | − | 16.1259i | −1.27110 | − | 0.612129i | ||||
\(695\) | −6.64431 | + | 16.9294i | −0.252033 | + | 0.642169i | ||||
\(696\) | 0.952584 | − | 12.7113i | 0.0361076 | − | 0.481822i | ||||
\(697\) | −17.6323 | − | 44.9263i | −0.667869 | − | 1.70170i | ||||
\(698\) | 53.2232 | − | 16.4172i | 2.01453 | − | 0.621399i | ||||
\(699\) | 15.3827 | − | 19.2894i | 0.581829 | − | 0.729590i | ||||
\(700\) | −2.71977 | − | 24.9566i | −0.102798 | − | 0.943270i | ||||
\(701\) | 6.84039 | + | 8.57758i | 0.258358 | + | 0.323971i | 0.894046 | − | 0.447976i | \(-0.147855\pi\) |
−0.635688 | + | 0.771946i | \(0.719283\pi\) | |||||||
\(702\) | 2.79157 | + | 1.90326i | 0.105361 | + | 0.0718339i | ||||
\(703\) | 2.78997 | + | 2.58871i | 0.105226 | + | 0.0976351i | ||||
\(704\) | −0.319008 | + | 0.552537i | −0.0120231 | + | 0.0208245i | ||||
\(705\) | 4.21148 | + | 7.29450i | 0.158614 | + | 0.274727i | ||||
\(706\) | 5.03651 | − | 22.0664i | 0.189551 | − | 0.830479i | ||||
\(707\) | −23.8179 | − | 20.6487i | −0.895766 | − | 0.776575i | ||||
\(708\) | 3.34976 | + | 14.6762i | 0.125892 | + | 0.551567i | ||||
\(709\) | 28.0515 | − | 26.0280i | 1.05350 | − | 0.977502i | 0.0537179 | − | 0.998556i | \(-0.482893\pi\) |
0.999778 | + | 0.0210545i | \(0.00670234\pi\) | |||||||
\(710\) | 72.7431 | − | 10.9643i | 2.73000 | − | 0.411481i | ||||
\(711\) | −19.2119 | + | 2.89574i | −0.720504 | + | 0.108599i | ||||
\(712\) | 3.02326 | − | 2.80517i | 0.113301 | − | 0.105128i | ||||
\(713\) | −0.491515 | − | 2.15347i | −0.0184074 | − | 0.0806480i | ||||
\(714\) | 2.65268 | − | 64.5874i | 0.0992741 | − | 2.41712i | ||||
\(715\) | 0.502590 | − | 2.20199i | 0.0187958 | − | 0.0823498i | ||||
\(716\) | −13.9090 | − | 24.0911i | −0.519804 | − | 0.900327i | ||||
\(717\) | −30.4712 | + | 52.7777i | −1.13797 | + | 1.97102i | ||||
\(718\) | −21.3360 | − | 19.7969i | −0.796253 | − | 0.738815i | ||||
\(719\) | −19.9238 | − | 13.5838i | −0.743033 | − | 0.506591i | 0.131645 | − | 0.991297i | \(-0.457974\pi\) |
−0.874677 | + | 0.484706i | \(0.838927\pi\) | |||||||
\(720\) | 26.4613 | + | 33.1815i | 0.986156 | + | 1.23660i | ||||
\(721\) | −20.9171 | + | 7.23367i | −0.778994 | + | 0.269396i | ||||
\(722\) | 19.3287 | − | 24.2375i | 0.719341 | − | 0.902026i | ||||
\(723\) | −46.1568 | + | 14.2375i | −1.71659 | + | 0.529498i | ||||
\(724\) | 2.20643 | + | 5.62188i | 0.0820012 | + | 0.208936i | ||||
\(725\) | −2.30587 | + | 30.7697i | −0.0856378 | + | 1.14276i | ||||
\(726\) | −16.6064 | + | 42.3125i | −0.616323 | + | 1.57037i | ||||
\(727\) | 2.53479 | + | 1.22069i | 0.0940100 | + | 0.0452728i | 0.480298 | − | 0.877105i | \(-0.340529\pi\) |
−0.386288 | + | 0.922378i | \(0.626243\pi\) | |||||||
\(728\) | 3.23907 | + | 3.79176i | 0.120048 | + | 0.140532i | ||||
\(729\) | 14.4244 | − | 6.94643i | 0.534237 | − | 0.257275i | ||||
\(730\) | 0.617361 | + | 8.23811i | 0.0228496 | + | 0.304906i | ||||
\(731\) | −30.0597 | − | 9.27218i | −1.11180 | − | 0.342944i | ||||
\(732\) | −8.74470 | + | 5.96204i | −0.323214 | + | 0.220363i | ||||
\(733\) | 18.9189 | + | 2.85156i | 0.698785 | + | 0.105325i | 0.488821 | − | 0.872384i | \(-0.337427\pi\) |
0.209964 | + | 0.977709i | \(0.432665\pi\) | |||||||
\(734\) | 13.7913 | 0.509046 | ||||||||
\(735\) | −53.5755 | − | 21.4792i | −1.97616 | − | 0.792274i | ||||
\(736\) | −6.17340 | −0.227555 | ||||||||
\(737\) | 6.78632 | + | 1.02287i | 0.249977 | + | 0.0376780i | ||||
\(738\) | −30.1963 | + | 20.5875i | −1.11154 | + | 0.757837i | ||||
\(739\) | −13.5155 | − | 4.16899i | −0.497177 | − | 0.153359i | 0.0360181 | − | 0.999351i | \(-0.488533\pi\) |
−0.533195 | + | 0.845992i | \(0.679009\pi\) | |||||||
\(740\) | −0.937315 | − | 12.5076i | −0.0344564 | − | 0.459788i | ||||
\(741\) | 4.02783 | − | 1.93970i | 0.147966 | − | 0.0712566i | ||||
\(742\) | −9.55943 | + | 49.5329i | −0.350938 | + | 1.81841i | ||||
\(743\) | 44.3325 | + | 21.3494i | 1.62640 | + | 0.783235i | 0.999993 | + | 0.00374113i | \(0.00119084\pi\) |
0.626410 | + | 0.779493i | \(0.284523\pi\) | |||||||
\(744\) | 2.53355 | − | 6.45538i | 0.0928845 | − | 0.236666i | ||||
\(745\) | 0.837787 | − | 11.1795i | 0.0306941 | − | 0.409585i | ||||
\(746\) | −4.90636 | − | 12.5012i | −0.179635 | − | 0.457701i | ||||
\(747\) | −18.9973 | + | 5.85990i | −0.695076 | + | 0.214403i | ||||
\(748\) | 2.06107 | − | 2.58451i | 0.0753603 | − | 0.0944989i | ||||
\(749\) | 27.3072 | + | 3.17771i | 0.997783 | + | 0.116111i | ||||
\(750\) | −23.3566 | − | 29.2882i | −0.852861 | − | 1.06945i | ||||
\(751\) | −29.0936 | − | 19.8357i | −1.06164 | − | 0.723814i | −0.0991338 | − | 0.995074i | \(-0.531607\pi\) |
−0.962506 | + | 0.271260i | \(0.912560\pi\) | |||||||
\(752\) | −3.69236 | − | 3.42601i | −0.134647 | − | 0.124934i | ||||
\(753\) | 16.9435 | − | 29.3469i | 0.617454 | − | 1.06946i | ||||
\(754\) | 5.24738 | + | 9.08873i | 0.191098 | + | 0.330992i | ||||
\(755\) | −2.82863 | + | 12.3930i | −0.102944 | + | 0.451029i | ||||
\(756\) | 4.34152 | − | 0.805065i | 0.157899 | − | 0.0292799i | ||||
\(757\) | −6.77214 | − | 29.6707i | −0.246137 | − | 1.07840i | −0.935318 | − | 0.353809i | \(-0.884886\pi\) |
0.689180 | − | 0.724590i | \(-0.257971\pi\) | |||||||
\(758\) | −41.4408 | + | 38.4514i | −1.50520 | + | 1.39662i | ||||
\(759\) | 1.02829 | − | 0.154989i | 0.0373244 | − | 0.00562575i | ||||
\(760\) | −6.31518 | + | 0.951860i | −0.229076 | + | 0.0345276i | ||||
\(761\) | 6.50842 | − | 6.03893i | 0.235930 | − | 0.218911i | −0.553343 | − | 0.832954i | \(-0.686648\pi\) |
0.789273 | + | 0.614042i | \(0.210458\pi\) | |||||||
\(762\) | −2.51106 | − | 11.0017i | −0.0909662 | − | 0.398549i | ||||
\(763\) | 20.2250 | − | 14.8130i | 0.732193 | − | 0.536268i | ||||
\(764\) | 1.26427 | − | 5.53911i | 0.0457395 | − | 0.200398i | ||||
\(765\) | −24.9736 | − | 43.2555i | −0.902921 | − | 1.56391i | ||||
\(766\) | −11.5126 | + | 19.9404i | −0.415967 | + | 0.720476i | ||||
\(767\) | 5.30626 | + | 4.92349i | 0.191598 | + | 0.177777i | ||||
\(768\) | −39.9940 | − | 27.2675i | −1.44316 | − | 0.983930i | ||||
\(769\) | −20.0771 | − | 25.1759i | −0.724000 | − | 0.907868i | 0.274557 | − | 0.961571i | \(-0.411469\pi\) |
−0.998557 | + | 0.0537033i | \(0.982897\pi\) | |||||||
\(770\) | −4.03449 | − | 6.47316i | −0.145393 | − | 0.233277i | ||||
\(771\) | 14.0161 | − | 17.5757i | 0.504779 | − | 0.632972i | ||||
\(772\) | −4.28916 | + | 1.32303i | −0.154370 | + | 0.0476170i | ||||
\(773\) | 11.7813 | + | 30.0183i | 0.423745 | + | 1.07968i | 0.970224 | + | 0.242211i | \(0.0778727\pi\) |
−0.546479 | + | 0.837473i | \(0.684032\pi\) | |||||||
\(774\) | −1.78014 | + | 23.7544i | −0.0639859 | + | 0.853833i | ||||
\(775\) | −6.13283 | + | 15.6262i | −0.220298 | + | 0.561310i | ||||
\(776\) | −18.7994 | − | 9.05331i | −0.674859 | − | 0.324995i | ||||
\(777\) | −15.8468 | − | 6.98282i | −0.568501 | − | 0.250507i | ||||
\(778\) | −9.95813 | + | 4.79558i | −0.357016 | + | 0.171930i | ||||
\(779\) | −0.842350 | − | 11.2404i | −0.0301803 | − | 0.402728i | ||||
\(780\) | −14.0783 | − | 4.34258i | −0.504084 | − | 0.155489i | ||||
\(781\) | 4.29152 | − | 2.92591i | 0.153563 | − | 0.104697i | ||||
\(782\) | 10.2497 | + | 1.54490i | 0.366529 | + | 0.0552454i | ||||
\(783\) | −5.42716 | −0.193951 | ||||||||
\(784\) | 34.4011 | + | 2.83056i | 1.22861 | + | 0.101091i | ||||
\(785\) | 24.0663 | 0.858962 | ||||||||
\(786\) | −15.2390 | − | 2.29691i | −0.543557 | − | 0.0819280i | ||||
\(787\) | −10.0738 | + | 6.86823i | −0.359094 | + | 0.244826i | −0.729406 | − | 0.684082i | \(-0.760203\pi\) |
0.370312 | + | 0.928908i | \(0.379251\pi\) | |||||||
\(788\) | 17.2450 | + | 5.31937i | 0.614327 | + | 0.189495i | ||||
\(789\) | −0.400823 | − | 5.34861i | −0.0142697 | − | 0.190416i | ||||
\(790\) | −45.9762 | + | 22.1410i | −1.63576 | + | 0.787741i | ||||
\(791\) | 22.7094 | − | 30.5364i | 0.807454 | − | 1.08575i | ||||
\(792\) | 1.31723 | + | 0.634342i | 0.0468056 | + | 0.0225404i | ||||
\(793\) | −1.85930 | + | 4.73742i | −0.0660257 | + | 0.168231i | ||||
\(794\) | −4.33726 | + | 57.8767i | −0.153923 | + | 2.05397i | ||||
\(795\) | 31.8007 | + | 81.0269i | 1.12786 | + | 2.87373i | ||||
\(796\) | 6.37337 | − | 1.96593i | 0.225898 | − | 0.0696804i | ||||
\(797\) | 23.6735 | − | 29.6856i | 0.838559 | − | 1.05152i | −0.159372 | − | 0.987219i | \(-0.550947\pi\) |
0.997931 | − | 0.0643010i | \(-0.0204818\pi\) | |||||||
\(798\) | 5.03830 | − | 14.2319i | 0.178354 | − | 0.503803i | ||||
\(799\) | 3.69596 | + | 4.63459i | 0.130754 | + | 0.163960i | ||||
\(800\) | 38.7638 | + | 26.4287i | 1.37051 | + | 0.934397i | ||||
\(801\) | 5.52217 | + | 5.12382i | 0.195116 | + | 0.181041i | ||||
\(802\) | 13.9342 | − | 24.1348i | 0.492035 | − | 0.852229i | ||||
\(803\) | 0.291641 | + | 0.505138i | 0.0102918 | + | 0.0178259i | ||||
\(804\) | 9.96155 | − | 43.6444i | 0.351317 | − | 1.53922i | ||||
\(805\) | 4.35471 | − | 8.16725i | 0.153483 | − | 0.287858i | ||||
\(806\) | 1.27048 | + | 5.56633i | 0.0447507 | + | 0.196065i | ||||
\(807\) | 14.9744 | − | 13.8942i | 0.527123 | − | 0.489099i | ||||
\(808\) | 15.6922 | − | 2.36522i | 0.552049 | − | 0.0832080i | ||||
\(809\) | −10.5748 | + | 1.59389i | −0.371789 | + | 0.0560381i | −0.332279 | − | 0.943181i | \(-0.607818\pi\) |
−0.0395095 | + | 0.999219i | \(0.512580\pi\) | |||||||
\(810\) | 48.6204 | − | 45.1131i | 1.70835 | − | 1.58511i | ||||
\(811\) | 4.21109 | + | 18.4500i | 0.147871 | + | 0.647866i | 0.993475 | + | 0.114054i | \(0.0363838\pi\) |
−0.845603 | + | 0.533812i | \(0.820759\pi\) | |||||||
\(812\) | 13.2351 | + | 3.59815i | 0.464462 | + | 0.126270i | ||||
\(813\) | −13.5822 | + | 59.5077i | −0.476350 | + | 2.08703i | ||||
\(814\) | −1.14418 | − | 1.98178i | −0.0401036 | − | 0.0694615i | ||||
\(815\) | 26.2587 | − | 45.4814i | 0.919801 | − | 1.59314i | ||||
\(816\) | 48.8942 | + | 45.3672i | 1.71164 | + | 1.58817i | ||||
\(817\) | −6.07035 | − | 4.13869i | −0.212374 | − | 0.144794i | ||||
\(818\) | −8.01479 | − | 10.0502i | −0.280231 | − | 0.351398i | ||||
\(819\) | −6.46440 | + | 6.41740i | −0.225884 | + | 0.224242i | ||||
\(820\) | −23.1607 | + | 29.0426i | −0.808807 | + | 1.01421i | ||||
\(821\) | 18.1826 | − | 5.60858i | 0.634576 | − | 0.195741i | 0.0392554 | − | 0.999229i | \(-0.487501\pi\) |
0.595320 | + | 0.803489i | \(0.297025\pi\) | |||||||
\(822\) | −2.44746 | − | 6.23602i | −0.0853649 | − | 0.217506i | ||||
\(823\) | −2.23135 | + | 29.7754i | −0.0777801 | + | 1.03790i | 0.812641 | + | 0.582765i | \(0.198029\pi\) |
−0.890421 | + | 0.455138i | \(0.849590\pi\) | |||||||
\(824\) | 4.07073 | − | 10.3720i | 0.141811 | − | 0.361327i | ||||
\(825\) | −7.12030 | − | 3.42896i | −0.247897 | − | 0.119381i | ||||
\(826\) | 24.4313 | − | 0.824912i | 0.850074 | − | 0.0287024i | ||||
\(827\) | −25.5992 | + | 12.3279i | −0.890171 | + | 0.428684i | −0.822329 | − | 0.569012i | \(-0.807326\pi\) |
−0.0678419 | + | 0.997696i | \(0.521611\pi\) | |||||||
\(828\) | −0.226999 | − | 3.02909i | −0.00788876 | − | 0.105268i | ||||
\(829\) | −18.1542 | − | 5.59984i | −0.630523 | − | 0.194491i | −0.0370099 | − | 0.999315i | \(-0.511783\pi\) |
−0.593513 | + | 0.804824i | \(0.702259\pi\) | |||||||
\(830\) | −43.1428 | + | 29.4143i | −1.49751 | + | 1.02098i | ||||
\(831\) | −32.3574 | − | 4.87709i | −1.12247 | − | 0.169184i | ||||
\(832\) | 2.00118 | 0.0693785 | ||||||||
\(833\) | −39.5369 | − | 9.32805i | −1.36987 | − | 0.323198i | ||||
\(834\) | 21.6437 | 0.749458 | ||||||||
\(835\) | −32.0291 | − | 4.82761i | −1.10841 | − | 0.167066i | ||||
\(836\) | 0.637907 | − | 0.434918i | 0.0220625 | − | 0.0150419i | ||||
\(837\) | −2.82137 | − | 0.870278i | −0.0975208 | − | 0.0300812i | ||||
\(838\) | 0.905866 | + | 12.0879i | 0.0312926 | + | 0.417571i | ||||
\(839\) | 2.88511 | − | 1.38940i | 0.0996051 | − | 0.0479673i | −0.383418 | − | 0.923575i | \(-0.625253\pi\) |
0.483023 | + | 0.875608i | \(0.339539\pi\) | |||||||
\(840\) | 25.7405 | − | 13.4843i | 0.888130 | − | 0.465253i | ||||
\(841\) | 10.9397 | + | 5.26828i | 0.377231 | + | 0.181665i | ||||
\(842\) | 4.65816 | − | 11.8688i | 0.160531 | − | 0.409026i | ||||
\(843\) | −2.01718 | + | 26.9173i | −0.0694752 | + | 0.927083i | ||||
\(844\) | −4.75276 | − | 12.1098i | −0.163597 | − | 0.416837i | ||||
\(845\) | 37.1770 | − | 11.4676i | 1.27893 | − | 0.394497i | ||||
\(846\) | 2.79877 | − | 3.50954i | 0.0962235 | − | 0.120660i | ||||
\(847\) | 24.1308 | + | 15.2855i | 0.829145 | + | 0.525215i | ||||
\(848\) | −32.4543 | − | 40.6965i | −1.11449 | − | 1.39752i | ||||
\(849\) | 29.3395 | + | 20.0033i | 1.00693 | + | 0.686513i | ||||
\(850\) | −57.7459 | − | 53.5804i | −1.98067 | − | 1.83779i | ||||
\(851\) | 1.38842 | − | 2.40481i | 0.0475944 | − | 0.0824359i | ||||
\(852\) | −16.9402 | − | 29.3413i | −0.580362 | − | 1.00522i | ||||
\(853\) | −6.65688 | + | 29.1657i | −0.227927 | + | 0.998614i | 0.723399 | + | 0.690430i | \(0.242579\pi\) |
−0.951327 | + | 0.308184i | \(0.900279\pi\) | |||||||
\(854\) | 6.81529 | + | 15.7776i | 0.233215 | + | 0.539899i | ||||
\(855\) | −2.59579 | − | 11.3729i | −0.0887740 | − | 0.388944i | ||||
\(856\) | −10.1455 | + | 9.41366i | −0.346767 | + | 0.321752i | ||||
\(857\) | −34.1556 | + | 5.14813i | −1.16673 | + | 0.175857i | −0.703709 | − | 0.710488i | \(-0.748474\pi\) |
−0.463025 | + | 0.886345i | \(0.653236\pi\) | |||||||
\(858\) | −2.65793 | + | 0.400619i | −0.0907403 | + | 0.0136769i | ||||
\(859\) | −14.2997 | + | 13.2682i | −0.487900 | + | 0.452705i | −0.885354 | − | 0.464917i | \(-0.846084\pi\) |
0.397454 | + | 0.917622i | \(0.369894\pi\) | |||||||
\(860\) | 5.38771 | + | 23.6051i | 0.183719 | + | 0.804927i | ||||
\(861\) | 20.3376 | + | 47.0822i | 0.693104 | + | 1.60456i | ||||
\(862\) | 6.47951 | − | 28.3886i | 0.220693 | − | 0.966919i | ||||
\(863\) | −7.03734 | − | 12.1890i | −0.239554 | − | 0.414920i | 0.721032 | − | 0.692901i | \(-0.243668\pi\) |
−0.960586 | + | 0.277982i | \(0.910335\pi\) | |||||||
\(864\) | −4.12596 | + | 7.14637i | −0.140368 | + | 0.243124i | ||||
\(865\) | 34.1374 | + | 31.6749i | 1.16071 | + | 1.07698i | ||||
\(866\) | −48.6104 | − | 33.1420i | −1.65185 | − | 1.12621i | ||||
\(867\) | −24.2363 | − | 30.3914i | −0.823108 | − | 1.03214i | ||||
\(868\) | 6.30345 | + | 3.99287i | 0.213953 | + | 0.135527i | ||||
\(869\) | −2.24641 | + | 2.81690i | −0.0762041 | + | 0.0955569i | ||||
\(870\) | 58.4360 | − | 18.0251i | 1.98116 | − | 0.611108i | ||||
\(871\) | −7.86441 | − | 20.0382i | −0.266475 | − | 0.678968i | ||||
\(872\) | −0.943151 | + | 12.5855i | −0.0319391 | + | 0.426198i | ||||
\(873\) | 13.9241 | − | 35.4780i | 0.471259 | − | 1.20075i | ||||
\(874\) | 2.18116 | + | 1.05039i | 0.0737788 | + | 0.0355300i | ||||
\(875\) | −20.8533 | + | 10.9241i | −0.704969 | + | 0.369303i | ||||
\(876\) | 3.42793 | − | 1.65081i | 0.115819 | − | 0.0557756i | ||||
\(877\) | −3.48168 | − | 46.4598i | −0.117568 | − | 1.56884i | −0.674498 | − | 0.738277i | \(-0.735640\pi\) |
0.556930 | − | 0.830560i | \(-0.311979\pi\) | |||||||
\(878\) | −19.4063 | − | 5.98605i | −0.654931 | − | 0.202020i | ||||
\(879\) | 63.1146 | − | 43.0308i | 2.12880 | − | 1.45139i | ||||
\(880\) | 7.78240 | + | 1.17301i | 0.262345 | + | 0.0395421i | ||||
\(881\) | −21.2165 | −0.714802 | −0.357401 | − | 0.933951i | \(-0.616337\pi\) | ||||
−0.357401 | + | 0.933951i | \(0.616337\pi\) | |||||||
\(882\) | −0.224444 | + | 30.7605i | −0.00755743 | + | 1.03576i | ||||
\(883\) | 17.0167 | 0.572656 | 0.286328 | − | 0.958132i | \(-0.407565\pi\) | ||||
0.286328 | + | 0.958132i | \(0.407565\pi\) | |||||||
\(884\) | −10.2528 | − | 1.54536i | −0.344838 | − | 0.0519760i | ||||
\(885\) | 34.8501 | − | 23.7604i | 1.17147 | − | 0.798696i | ||||
\(886\) | 10.4985 | + | 3.23835i | 0.352703 | + | 0.108794i | ||||
\(887\) | 0.309110 | + | 4.12479i | 0.0103789 | + | 0.138497i | 0.999986 | − | 0.00530121i | \(-0.00168744\pi\) |
−0.989607 | + | 0.143798i | \(0.954068\pi\) | |||||||
\(888\) | 7.85463 | − | 3.78259i | 0.263584 | − | 0.126936i | ||||
\(889\) | −7.08747 | + | 0.239305i | −0.237706 | + | 0.00802604i | ||||
\(890\) | 17.8262 | + | 8.58465i | 0.597536 | + | 0.287758i | ||||
\(891\) | 1.71087 | − | 4.35923i | 0.0573163 | − | 0.146040i | ||||
\(892\) | 0.170878 | − | 2.28021i | 0.00572142 | − | 0.0763470i | ||||
\(893\) | 0.505806 | + | 1.28877i | 0.0169262 | + | 0.0431271i | ||||
\(894\) | −12.7491 | + | 3.93259i | −0.426395 | + | 0.131526i | ||||
\(895\) | −48.5972 | + | 60.9390i | −1.62443 | + | 2.03697i | ||||
\(896\) | −18.6476 | + | 18.5120i | −0.622972 | + | 0.618443i | ||||
\(897\) | −2.03365 | − | 2.55012i | −0.0679017 | − | 0.0851460i | ||||
\(898\) | −9.85579 | − | 6.71956i | −0.328892 | − | 0.224235i | ||||
\(899\) | −6.72296 | − | 6.23799i | −0.224223 | − | 0.208049i | ||||
\(900\) | −11.5424 | + | 19.9920i | −0.384746 | + | 0.666399i | ||||
\(901\) | 30.6296 | + | 53.0521i | 1.02042 | + | 1.76742i | ||||
\(902\) | −1.50810 | + | 6.60740i | −0.0502141 | + | 0.220002i | ||||
\(903\) | 32.2578 | + | 8.76970i | 1.07347 | + | 0.291837i | ||||
\(904\) | 4.26309 | + | 18.6778i | 0.141788 | + | 0.621215i | ||||
\(905\) | 12.4046 | − | 11.5098i | 0.412342 | − | 0.382597i | ||||
\(906\) | 14.9591 | − | 2.25473i | 0.496984 | − | 0.0749083i | ||||
\(907\) | 36.5199 | − | 5.50449i | 1.21262 | − | 0.182774i | 0.488575 | − | 0.872522i | \(-0.337517\pi\) |
0.724049 | + | 0.689748i | \(0.242279\pi\) | |||||||
\(908\) | 15.6888 | − | 14.5571i | 0.520652 | − | 0.483094i | ||||
\(909\) | 6.45011 | + | 28.2598i | 0.213937 | + | 0.937317i | ||||
\(910\) | −11.2561 | + | 21.1109i | −0.373138 | + | 0.699819i | ||||
\(911\) | −0.995566 | + | 4.36186i | −0.0329846 | + | 0.144515i | −0.988739 | − | 0.149651i | \(-0.952185\pi\) |
0.955754 | + | 0.294166i | \(0.0950420\pi\) | |||||||
\(912\) | 7.78897 | + | 13.4909i | 0.257919 | + | 0.446728i | ||||
\(913\) | −1.84335 | + | 3.19278i | −0.0610060 | + | 0.105666i | ||||
\(914\) | −34.7800 | − | 32.2711i | −1.15042 | − | 1.06743i | ||||
\(915\) | 24.5020 | + | 16.7052i | 0.810010 | + | 0.552256i | ||||
\(916\) | 16.6722 | + | 20.9062i | 0.550864 | + | 0.690761i | ||||
\(917\) | −3.23198 | + | 9.12949i | −0.106729 | + | 0.301482i | ||||
\(918\) | 8.63872 | − | 10.8326i | 0.285120 | − | 0.357530i | ||||
\(919\) | 20.9454 | − | 6.46079i | 0.690924 | − | 0.213122i | 0.0706431 | − | 0.997502i | \(-0.477495\pi\) |
0.620281 | + | 0.784380i | \(0.287019\pi\) | |||||||
\(920\) | 1.70235 | + | 4.33751i | 0.0561247 | + | 0.143003i | ||||
\(921\) | 4.95335 | − | 66.0978i | 0.163218 | − | 2.17800i | ||||
\(922\) | −9.54634 | + | 24.3237i | −0.314392 | + | 0.801057i | ||||
\(923\) | −14.6781 | − | 7.06861i | −0.483136 | − | 0.232666i | ||||
\(924\) | −2.09631 | + | 2.81882i | −0.0689635 | + | 0.0927323i | ||||
\(925\) | −19.0133 | + | 9.15632i | −0.625153 | + | 0.301058i | ||||
\(926\) | 4.72311 | + | 63.0255i | 0.155211 | + | 2.07115i | ||||
\(927\) | 19.4479 | + | 5.99888i | 0.638752 | + | 0.197029i | ||||
\(928\) | −21.1782 | + | 14.4391i | −0.695210 | + | 0.473986i | ||||
\(929\) | 14.2691 | + | 2.15072i | 0.468153 | + | 0.0705627i | 0.378883 | − | 0.925445i | \(-0.376308\pi\) |
0.0892704 | + | 0.996007i | \(0.471546\pi\) | |||||||
\(930\) | 33.2690 | 1.09093 | ||||||||
\(931\) | −8.18161 | − | 4.80359i | −0.268141 | − | 0.157431i | ||||
\(932\) | −13.3644 | −0.437767 | ||||||||
\(933\) | −65.1505 | − | 9.81985i | −2.13293 | − | 0.321487i | ||||
\(934\) | 17.3528 | − | 11.8310i | 0.567802 | − | 0.387121i | ||||
\(935\) | −8.85083 | − | 2.73012i | −0.289453 | − | 0.0892844i | ||||
\(936\) | −0.342690 | − | 4.57288i | −0.0112012 | − | 0.149469i | ||||
\(937\) | 20.6735 | − | 9.95585i | 0.675375 | − | 0.325244i | −0.0645676 | − | 0.997913i | \(-0.520567\pi\) |
0.739943 | + | 0.672670i | \(0.234853\pi\) | |||||||
\(938\) | −66.5235 | − | 29.3133i | −2.17207 | − | 0.957112i | ||||
\(939\) | 26.1329 | + | 12.5849i | 0.852815 | + | 0.410694i | ||||
\(940\) | 1.66690 | − | 4.24719i | 0.0543683 | − | 0.138528i | ||||
\(941\) | −4.41605 | + | 58.9281i | −0.143959 | + | 1.92100i | 0.196077 | + | 0.980589i | \(0.437180\pi\) |
−0.340036 | + | 0.940413i | \(0.610439\pi\) | |||||||
\(942\) | −10.4637 | − | 26.6611i | −0.340927 | − | 0.868667i | ||||
\(943\) | −7.85863 | + | 2.42407i | −0.255912 | + | 0.0789385i | ||||
\(944\) | −15.7265 | + | 19.7204i | −0.511854 | + | 0.641845i | ||||
\(945\) | −6.54402 | − | 10.4996i | −0.212877 | − | 0.341552i | ||||
\(946\) | 2.75422 | + | 3.45368i | 0.0895473 | + | 0.112289i | ||||
\(947\) | −0.565846 | − | 0.385787i | −0.0183875 | − | 0.0125364i | 0.554091 | − | 0.832456i | \(-0.313066\pi\) |
−0.572479 | + | 0.819919i | \(0.694018\pi\) | |||||||
\(948\) | 17.2281 | + | 15.9853i | 0.559542 | + | 0.519179i | ||||
\(949\) | 0.914754 | − | 1.58440i | 0.0296942 | − | 0.0514318i | ||||
\(950\) | −9.19907 | − | 15.9333i | −0.298457 | − | 0.516943i | ||||
\(951\) | 12.7517 | − | 55.8689i | 0.413503 | − | 1.81167i | ||||
\(952\) | 16.4987 | − | 12.0839i | 0.534727 | − | 0.391641i | ||||
\(953\) | 0.779818 | + | 3.41660i | 0.0252608 | + | 0.110675i | 0.985987 | − | 0.166825i | \(-0.0533514\pi\) |
−0.960726 | + | 0.277500i | \(0.910494\pi\) | |||||||
\(954\) | 34.0052 | − | 31.5522i | 1.10096 | − | 1.02154i | ||||
\(955\) | −15.7415 | + | 2.37264i | −0.509382 | + | 0.0767770i | ||||
\(956\) | 32.6428 | − | 4.92012i | 1.05574 | − | 0.159128i | ||||
\(957\) | 3.16509 | − | 2.93678i | 0.102313 | − | 0.0949325i | ||||
\(958\) | −2.04972 | − | 8.98043i | −0.0662236 | − | 0.290145i | ||||
\(959\) | −4.13930 | + | 0.767568i | −0.133665 | + | 0.0247860i | ||||
\(960\) | 2.59479 | − | 11.3685i | 0.0837463 | − | 0.366917i | ||||
\(961\) | 13.0053 | + | 22.5258i | 0.419526 | + | 0.726640i | ||||
\(962\) | −3.58881 | + | 6.21601i | −0.115708 | + | 0.200412i | ||||
\(963\) | −18.5314 | − | 17.1946i | −0.597167 | − | 0.554090i | ||||
\(964\) | 21.6184 | + | 14.7392i | 0.696283 | + | 0.474717i | ||||
\(965\) | 7.84141 | + | 9.83281i | 0.252424 | + | 0.316530i | ||||
\(966\) | −10.9412 | − | 1.27322i | −0.352029 | − | 0.0409652i | ||||
\(967\) | 19.8683 | − | 24.9140i | 0.638920 | − | 0.801180i | −0.351947 | − | 0.936020i | \(-0.614480\pi\) |
0.990867 | + | 0.134839i | \(0.0430518\pi\) | |||||||
\(968\) | −13.7415 | + | 4.23870i | −0.441670 | + | 0.136237i | ||||
\(969\) | −6.69787 | − | 17.0659i | −0.215167 | − | 0.548236i | ||||
\(970\) | 7.48063 | − | 99.8221i | 0.240189 | − | 3.20510i | ||||
\(971\) | −12.4764 | + | 31.7895i | −0.400388 | + | 1.02017i | 0.578483 | + | 0.815695i | \(0.303645\pi\) |
−0.978871 | + | 0.204478i | \(0.934450\pi\) | |||||||
\(972\) | −23.0106 | − | 11.0813i | −0.738065 | − | 0.355434i | ||||
\(973\) | 2.57739 | − | 13.3549i | 0.0826273 | − | 0.428139i | ||||
\(974\) | 32.1811 | − | 15.4976i | 1.03115 | − | 0.496576i | ||||
\(975\) | 1.85242 | + | 24.7188i | 0.0593249 | + | 0.791636i | ||||
\(976\) | −16.9459 | − | 5.22711i | −0.542424 | − | 0.167316i | ||||
\(977\) | 5.42917 | − | 3.70154i | 0.173695 | − | 0.118423i | −0.473352 | − | 0.880873i | \(-0.656956\pi\) |
0.647047 | + | 0.762450i | \(0.276004\pi\) | |||||||
\(978\) | −61.8022 | − | 9.31519i | −1.97622 | − | 0.297867i | ||||
\(979\) | 1.39696 | 0.0446471 | ||||||||
\(980\) | 8.99770 | + | 29.9438i | 0.287421 | + | 0.956520i | ||||
\(981\) | −23.0526 | −0.736014 | ||||||||
\(982\) | −17.0450 | − | 2.56913i | −0.543929 | − | 0.0819842i | ||||
\(983\) | 40.5545 | − | 27.6496i | 1.29349 | − | 0.881885i | 0.296174 | − | 0.955134i | \(-0.404289\pi\) |
0.997314 | + | 0.0732492i | \(0.0233368\pi\) | |||||||
\(984\) | −24.6725 | − | 7.61045i | −0.786529 | − | 0.242612i | ||||
\(985\) | −3.77877 | − | 50.4241i | −0.120402 | − | 1.60665i | ||||
\(986\) | 38.7757 | − | 18.6734i | 1.23487 | − | 0.594682i | ||||
\(987\) | −4.09154 | − | 4.78969i | −0.130235 | − | 0.152457i | ||||
\(988\) | −2.18181 | − | 1.05070i | −0.0694126 | − | 0.0334274i | ||||
\(989\) | −1.95836 | + | 4.98982i | −0.0622722 | + | 0.158667i | ||||
\(990\) | −0.524149 | + | 6.99428i | −0.0166585 | + | 0.222293i | ||||
\(991\) | 6.53748 | + | 16.6572i | 0.207670 | + | 0.529134i | 0.996320 | − | 0.0857076i | \(-0.0273151\pi\) |
−0.788650 | + | 0.614842i | \(0.789220\pi\) | |||||||
\(992\) | −13.3251 | + | 4.11026i | −0.423074 | + | 0.130501i | ||||
\(993\) | −36.8496 | + | 46.2080i | −1.16939 | + | 1.46637i | ||||
\(994\) | −51.9960 | + | 17.9816i | −1.64921 | + | 0.570340i | ||||
\(995\) | −11.6517 | − | 14.6108i | −0.369385 | − | 0.463194i | ||||
\(996\) | 19.8695 | + | 13.5468i | 0.629590 | + | 0.429247i | ||||
\(997\) | 28.0407 | + | 26.0180i | 0.888058 | + | 0.823997i | 0.985224 | − | 0.171271i | \(-0.0547874\pi\) |
−0.0971663 | + | 0.995268i | \(0.530978\pi\) | |||||||
\(998\) | −17.2984 | + | 29.9617i | −0.547572 | + | 0.948422i | ||||
\(999\) | −1.85589 | − | 3.21449i | −0.0587176 | − | 0.101702i |
(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 | 49.2.g.a.39.4 | ✓ | 48 | |
3.2 | odd | 2 | 441.2.bb.d.235.1 | 48 | |||
4.3 | odd | 2 | 784.2.bg.c.529.3 | 48 | |||
7.2 | even | 3 | 343.2.g.i.226.1 | 48 | |||
7.3 | odd | 6 | 343.2.e.c.295.2 | 48 | |||
7.4 | even | 3 | 343.2.e.d.295.2 | 48 | |||
7.5 | odd | 6 | 343.2.g.h.226.1 | 48 | |||
7.6 | odd | 2 | 343.2.g.g.165.4 | 48 | |||
49.3 | odd | 42 | 343.2.e.c.50.2 | 48 | |||
49.5 | odd | 42 | 343.2.g.g.79.4 | 48 | |||
49.8 | even | 7 | 343.2.g.i.214.1 | 48 | |||
49.17 | odd | 42 | 2401.2.a.i.1.6 | 24 | |||
49.32 | even | 21 | 2401.2.a.h.1.6 | 24 | |||
49.41 | odd | 14 | 343.2.g.h.214.1 | 48 | |||
49.44 | even | 21 | inner | 49.2.g.a.44.4 | yes | 48 | |
49.46 | even | 21 | 343.2.e.d.50.2 | 48 | |||
147.44 | odd | 42 | 441.2.bb.d.289.1 | 48 | |||
196.191 | odd | 42 | 784.2.bg.c.289.3 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
49.2.g.a.39.4 | ✓ | 48 | 1.1 | even | 1 | trivial | |
49.2.g.a.44.4 | yes | 48 | 49.44 | even | 21 | inner | |
343.2.e.c.50.2 | 48 | 49.3 | odd | 42 | |||
343.2.e.c.295.2 | 48 | 7.3 | odd | 6 | |||
343.2.e.d.50.2 | 48 | 49.46 | even | 21 | |||
343.2.e.d.295.2 | 48 | 7.4 | even | 3 | |||
343.2.g.g.79.4 | 48 | 49.5 | odd | 42 | |||
343.2.g.g.165.4 | 48 | 7.6 | odd | 2 | |||
343.2.g.h.214.1 | 48 | 49.41 | odd | 14 | |||
343.2.g.h.226.1 | 48 | 7.5 | odd | 6 | |||
343.2.g.i.214.1 | 48 | 49.8 | even | 7 | |||
343.2.g.i.226.1 | 48 | 7.2 | even | 3 | |||
441.2.bb.d.235.1 | 48 | 3.2 | odd | 2 | |||
441.2.bb.d.289.1 | 48 | 147.44 | odd | 42 | |||
784.2.bg.c.289.3 | 48 | 196.191 | odd | 42 | |||
784.2.bg.c.529.3 | 48 | 4.3 | odd | 2 | |||
2401.2.a.h.1.6 | 24 | 49.32 | even | 21 | |||
2401.2.a.i.1.6 | 24 | 49.17 | odd | 42 |