Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(151,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.151");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.i (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2x^{7} + 8x^{6} + 21x^{4} - 4x^{3} + 28x^{2} + 12x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 151.1 | ||
Root | \(-0.758290 + 1.31340i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 525.151 |
Dual form | 525.2.i.h.226.1 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25829 | − | 2.17942i | −0.889745 | − | 1.54108i | −0.840176 | − | 0.542313i | \(-0.817549\pi\) |
−0.0495691 | − | 0.998771i | \(-0.515785\pi\) | |||||||
\(3\) | 0.500000 | − | 0.866025i | 0.288675 | − | 0.500000i | ||||
\(4\) | −2.16659 | + | 3.75264i | −1.08329 | + | 1.87632i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −2.51658 | −1.02739 | ||||||||
\(7\) | 2.29673 | + | 1.31340i | 0.868084 | + | 0.496417i | ||||
\(8\) | 5.87162 | 2.07593 | ||||||||
\(9\) | −0.500000 | − | 0.866025i | −0.166667 | − | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.489068 | + | 0.847090i | −0.147459 | + | 0.255407i | −0.930288 | − | 0.366830i | \(-0.880443\pi\) |
0.782828 | + | 0.622238i | \(0.213776\pi\) | |||||||
\(12\) | 2.16659 | + | 3.75264i | 0.625440 | + | 1.08329i | ||||
\(13\) | 5.14977 | 1.42829 | 0.714144 | − | 0.699998i | \(-0.246816\pi\) | ||||
0.714144 | + | 0.699998i | \(0.246816\pi\) | |||||||
\(14\) | −0.0275122 | − | 6.65819i | −0.00735294 | − | 1.77948i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.05502 | − | 5.29146i | −0.763756 | − | 1.32286i | ||||
\(17\) | 2.07488 | − | 3.59380i | 0.503233 | − | 0.871626i | −0.496760 | − | 0.867888i | \(-0.665477\pi\) |
0.999993 | − | 0.00373753i | \(-0.00118970\pi\) | |||||||
\(18\) | −1.25829 | + | 2.17942i | −0.296582 | + | 0.513695i | ||||
\(19\) | 1.15001 | + | 1.99187i | 0.263830 | + | 0.456967i | 0.967256 | − | 0.253801i | \(-0.0816810\pi\) |
−0.703427 | + | 0.710768i | \(0.748348\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.28580 | − | 1.33233i | 0.498803 | − | 0.290739i | ||||
\(22\) | 2.46156 | 0.524805 | ||||||||
\(23\) | −2.53644 | − | 4.39324i | −0.528884 | − | 0.916054i | −0.999433 | − | 0.0336802i | \(-0.989277\pi\) |
0.470548 | − | 0.882374i | \(-0.344056\pi\) | |||||||
\(24\) | 2.93581 | − | 5.08497i | 0.599270 | − | 1.03797i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −6.47990 | − | 11.2235i | −1.27081 | − | 2.20111i | ||||
\(27\) | −1.00000 | −0.192450 | ||||||||
\(28\) | −9.90478 | + | 5.77323i | −1.87183 | + | 1.09104i | ||||
\(29\) | 5.92664 | 1.10055 | 0.550275 | − | 0.834983i | \(-0.314523\pi\) | ||||
0.550275 | + | 0.834983i | \(0.314523\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.316594 | + | 0.548357i | −0.0568620 | + | 0.0984879i | −0.893055 | − | 0.449947i | \(-0.851443\pi\) |
0.836193 | + | 0.548435i | \(0.184776\pi\) | |||||||
\(32\) | −1.81659 | + | 3.14643i | −0.321132 | + | 0.556216i | ||||
\(33\) | 0.489068 | + | 0.847090i | 0.0851357 | + | 0.147459i | ||||
\(34\) | −10.4432 | −1.79100 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 4.33317 | 0.722196 | ||||||||
\(37\) | −4.52751 | − | 7.84188i | −0.744318 | − | 1.28920i | −0.950513 | − | 0.310686i | \(-0.899441\pi\) |
0.206194 | − | 0.978511i | \(-0.433892\pi\) | |||||||
\(38\) | 2.89408 | − | 5.01270i | 0.469483 | − | 0.813168i | ||||
\(39\) | 2.57488 | − | 4.45983i | 0.412311 | − | 0.714144i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.65505 | 0.414650 | 0.207325 | − | 0.978272i | \(-0.433524\pi\) | ||||
0.207325 | + | 0.978272i | \(0.433524\pi\) | |||||||
\(42\) | −5.77992 | − | 3.30527i | −0.891860 | − | 0.510014i | ||||
\(43\) | 0.344947 | 0.0526039 | 0.0263020 | − | 0.999654i | \(-0.491627\pi\) | ||||
0.0263020 | + | 0.999654i | \(0.491627\pi\) | |||||||
\(44\) | −2.11922 | − | 3.67059i | −0.319484 | − | 0.553362i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −6.38315 | + | 11.0559i | −0.941144 | + | 1.63011i | ||||
\(47\) | 2.11922 | + | 3.67059i | 0.309119 | + | 0.535410i | 0.978170 | − | 0.207806i | \(-0.0666324\pi\) |
−0.669051 | + | 0.743217i | \(0.733299\pi\) | |||||||
\(48\) | −6.11005 | −0.881910 | ||||||||
\(49\) | 3.54998 | + | 6.03305i | 0.507140 | + | 0.861864i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.07488 | − | 3.59380i | −0.290542 | − | 0.503233i | ||||
\(52\) | −11.1574 | + | 19.3252i | −1.54726 | + | 2.67993i | ||||
\(53\) | −3.81659 | + | 6.61053i | −0.524250 | + | 0.908027i | 0.475352 | + | 0.879796i | \(0.342321\pi\) |
−0.999601 | + | 0.0282311i | \(0.991013\pi\) | |||||||
\(54\) | 1.25829 | + | 2.17942i | 0.171232 | + | 0.296582i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 13.4855 | + | 7.71176i | 1.80208 | + | 1.03053i | ||||
\(57\) | 2.30001 | 0.304644 | ||||||||
\(58\) | −7.45743 | − | 12.9167i | −0.979209 | − | 1.69604i | ||||
\(59\) | −0.908297 | + | 1.57322i | −0.118250 | + | 0.204815i | −0.919074 | − | 0.394084i | \(-0.871062\pi\) |
0.800824 | + | 0.598900i | \(0.204395\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.328128 | − | 0.568335i | −0.0420125 | − | 0.0727678i | 0.844255 | − | 0.535942i | \(-0.180044\pi\) |
−0.886267 | + | 0.463175i | \(0.846710\pi\) | |||||||
\(62\) | 1.59347 | 0.202371 | ||||||||
\(63\) | −0.0109324 | − | 2.64573i | −0.00137735 | − | 0.333330i | ||||
\(64\) | −3.07689 | −0.384611 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.23078 | − | 2.13177i | 0.151498 | − | 0.262403i | ||||
\(67\) | 4.62991 | − | 8.01924i | 0.565633 | − | 0.979706i | −0.431357 | − | 0.902181i | \(-0.641965\pi\) |
0.996990 | − | 0.0775244i | \(-0.0247016\pi\) | |||||||
\(68\) | 8.99083 | + | 15.5726i | 1.09030 | + | 1.88845i | ||||
\(69\) | −5.07288 | −0.610703 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −5.49351 | −0.651960 | −0.325980 | − | 0.945377i | \(-0.605694\pi\) | ||||
−0.325980 | + | 0.945377i | \(0.605694\pi\) | |||||||
\(72\) | −2.93581 | − | 5.08497i | −0.345988 | − | 0.599270i | ||||
\(73\) | −2.68905 | + | 4.65758i | −0.314730 | + | 0.545128i | −0.979380 | − | 0.202027i | \(-0.935247\pi\) |
0.664650 | + | 0.747155i | \(0.268581\pi\) | |||||||
\(74\) | −11.3938 | + | 19.7347i | −1.32451 | + | 2.29411i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −9.96636 | −1.14322 | ||||||||
\(77\) | −2.23582 | + | 1.30320i | −0.254796 | + | 0.148514i | ||||
\(78\) | −12.9598 | −1.46741 | ||||||||
\(79\) | 5.44346 | + | 9.42835i | 0.612437 | + | 1.06077i | 0.990828 | + | 0.135127i | \(0.0431441\pi\) |
−0.378391 | + | 0.925646i | \(0.623523\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | −3.34083 | − | 5.78648i | −0.368933 | − | 0.639010i | ||||
\(83\) | 6.62663 | 0.727367 | 0.363683 | − | 0.931523i | \(-0.381519\pi\) | ||||
0.363683 | + | 0.931523i | \(0.381519\pi\) | |||||||
\(84\) | 0.0473719 | + | 11.4644i | 0.00516870 | + | 1.25087i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.434043 | − | 0.751785i | −0.0468041 | − | 0.0810671i | ||||
\(87\) | 2.96332 | − | 5.13262i | 0.317701 | − | 0.550275i | ||||
\(88\) | −2.87162 | + | 4.97379i | −0.306116 | + | 0.530208i | ||||
\(89\) | −8.15542 | − | 14.1256i | −0.864472 | − | 1.49731i | −0.867570 | − | 0.497315i | \(-0.834319\pi\) |
0.00309785 | − | 0.999995i | \(-0.499014\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.8277 | + | 6.76369i | 1.23987 | + | 0.709027i | ||||
\(92\) | 21.9817 | 2.29175 | ||||||||
\(93\) | 0.316594 | + | 0.548357i | 0.0328293 | + | 0.0568620i | ||||
\(94\) | 5.33317 | − | 9.23733i | 0.550075 | − | 0.952758i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.81659 | + | 3.14643i | 0.185405 | + | 0.321132i | ||||
\(97\) | −1.53844 | −0.156205 | −0.0781027 | − | 0.996945i | \(-0.524886\pi\) | ||||
−0.0781027 | + | 0.996945i | \(0.524886\pi\) | |||||||
\(98\) | 8.68165 | − | 15.3282i | 0.876979 | − | 1.54838i | ||||
\(99\) | 0.978135 | 0.0983063 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.75805 | − | 4.77708i | 0.274436 | − | 0.475338i | −0.695556 | − | 0.718471i | \(-0.744842\pi\) |
0.969993 | + | 0.243134i | \(0.0781754\pi\) | |||||||
\(102\) | −5.22161 | + | 9.04410i | −0.517017 | + | 0.895499i | ||||
\(103\) | −8.26066 | − | 14.3079i | −0.813947 | − | 1.40980i | −0.910082 | − | 0.414429i | \(-0.863981\pi\) |
0.0961349 | − | 0.995368i | \(-0.469352\pi\) | |||||||
\(104\) | 30.2375 | 2.96503 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 19.2095 | 1.86579 | ||||||||
\(107\) | 1.19410 | + | 2.06824i | 0.115438 | + | 0.199944i | 0.917955 | − | 0.396685i | \(-0.129840\pi\) |
−0.802517 | + | 0.596630i | \(0.796506\pi\) | |||||||
\(108\) | 2.16659 | − | 3.75264i | 0.208480 | − | 0.361098i | ||||
\(109\) | 9.05479 | − | 15.6833i | 0.867291 | − | 1.50219i | 0.00253705 | − | 0.999997i | \(-0.499192\pi\) |
0.864754 | − | 0.502196i | \(-0.167474\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −9.05502 | −0.859465 | ||||||||
\(112\) | −0.0667973 | − | 16.1655i | −0.00631176 | − | 1.52750i | ||||
\(113\) | 4.04373 | 0.380402 | 0.190201 | − | 0.981745i | \(-0.439086\pi\) | ||||
0.190201 | + | 0.981745i | \(0.439086\pi\) | |||||||
\(114\) | −2.89408 | − | 5.01270i | −0.271056 | − | 0.469483i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −12.8406 | + | 22.2405i | −1.19222 | + | 2.06498i | ||||
\(117\) | −2.57488 | − | 4.45983i | −0.238048 | − | 0.412311i | ||||
\(118\) | 4.57160 | 0.420850 | ||||||||
\(119\) | 9.48555 | − | 5.52887i | 0.869539 | − | 0.506831i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.02163 | + | 8.69771i | 0.456511 | + | 0.790701i | ||||
\(122\) | −0.825761 | + | 1.43026i | −0.0747608 | + | 0.129490i | ||||
\(123\) | 1.32753 | − | 2.29934i | 0.119699 | − | 0.207325i | ||||
\(124\) | −1.37186 | − | 2.37613i | −0.123196 | − | 0.213383i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −5.75240 | + | 3.35292i | −0.512465 | + | 0.298702i | ||||
\(127\) | 6.85023 | 0.607860 | 0.303930 | − | 0.952694i | \(-0.401701\pi\) | ||||
0.303930 | + | 0.952694i | \(0.401701\pi\) | |||||||
\(128\) | 7.50481 | + | 12.9987i | 0.663337 | + | 1.14893i | ||||
\(129\) | 0.172473 | − | 0.298733i | 0.0151854 | − | 0.0263020i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 2.01270 | + | 3.48610i | 0.175850 | + | 0.304582i | 0.940455 | − | 0.339918i | \(-0.110399\pi\) |
−0.764605 | + | 0.644499i | \(0.777066\pi\) | |||||||
\(132\) | −4.23843 | −0.368908 | ||||||||
\(133\) | 0.0251446 | + | 6.08521i | 0.00218031 | + | 0.527655i | ||||
\(134\) | −23.3031 | −2.01308 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 12.1829 | − | 21.1014i | 1.04468 | − | 1.80943i | ||||
\(137\) | −5.61594 | + | 9.72709i | −0.479802 | + | 0.831041i | −0.999732 | − | 0.0231680i | \(-0.992625\pi\) |
0.519930 | + | 0.854209i | \(0.325958\pi\) | |||||||
\(138\) | 6.38315 | + | 11.0559i | 0.543370 | + | 0.941144i | ||||
\(139\) | −4.98991 | −0.423238 | −0.211619 | − | 0.977352i | \(-0.567874\pi\) | ||||
−0.211619 | + | 0.977352i | \(0.567874\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 4.23843 | 0.356940 | ||||||||
\(142\) | 6.91243 | + | 11.9727i | 0.580078 | + | 1.00473i | ||||
\(143\) | −2.51858 | + | 4.36232i | −0.210615 | + | 0.364795i | ||||
\(144\) | −3.05502 | + | 5.29146i | −0.254585 | + | 0.440955i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 13.5344 | 1.12012 | ||||||||
\(147\) | 6.99976 | − | 0.0578482i | 0.577331 | − | 0.00477124i | ||||
\(148\) | 39.2370 | 3.22526 | ||||||||
\(149\) | 7.24712 | + | 12.5524i | 0.593707 | + | 1.02833i | 0.993728 | + | 0.111825i | \(0.0356695\pi\) |
−0.400021 | + | 0.916506i | \(0.630997\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.94346 | + | 6.83028i | −0.320914 | + | 0.555840i | −0.980677 | − | 0.195634i | \(-0.937324\pi\) |
0.659763 | + | 0.751474i | \(0.270657\pi\) | |||||||
\(152\) | 6.75240 | + | 11.6955i | 0.547692 | + | 0.948631i | ||||
\(153\) | −4.14977 | −0.335489 | ||||||||
\(154\) | 5.65354 | + | 3.23300i | 0.455575 | + | 0.260522i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 11.1574 | + | 19.3252i | 0.893309 | + | 1.54726i | ||||
\(157\) | −3.27815 | + | 5.67792i | −0.261625 | + | 0.453147i | −0.966674 | − | 0.256011i | \(-0.917592\pi\) |
0.705049 | + | 0.709159i | \(0.250925\pi\) | |||||||
\(158\) | 13.6989 | − | 23.7272i | 1.08983 | − | 1.88763i | ||||
\(159\) | 3.81659 | + | 6.61053i | 0.302676 | + | 0.524250i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.0554586 | − | 13.4215i | −0.00437075 | − | 1.05776i | ||||
\(162\) | 2.51658 | 0.197721 | ||||||||
\(163\) | 6.12790 | + | 10.6138i | 0.479974 | + | 0.831340i | 0.999736 | − | 0.0229712i | \(-0.00731260\pi\) |
−0.519762 | + | 0.854311i | \(0.673979\pi\) | |||||||
\(164\) | −5.75240 | + | 9.96346i | −0.449187 | + | 0.778015i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −8.33822 | − | 14.4422i | −0.647171 | − | 1.12093i | ||||
\(167\) | −2.13239 | −0.165009 | −0.0825047 | − | 0.996591i | \(-0.526292\pi\) | ||||
−0.0825047 | + | 0.996591i | \(0.526292\pi\) | |||||||
\(168\) | 13.4214 | − | 7.82295i | 1.03548 | − | 0.603553i | ||||
\(169\) | 13.5201 | 1.04001 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.15001 | − | 1.99187i | 0.0879432 | − | 0.152322i | ||||
\(172\) | −0.747358 | + | 1.29446i | −0.0569855 | + | 0.0987017i | ||||
\(173\) | −5.77427 | − | 10.0013i | −0.439009 | − | 0.760387i | 0.558604 | − | 0.829435i | \(-0.311337\pi\) |
−0.997613 | + | 0.0690479i | \(0.978004\pi\) | |||||||
\(174\) | −14.9149 | −1.13069 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 5.97645 | 0.450492 | ||||||||
\(177\) | 0.908297 | + | 1.57322i | 0.0682718 | + | 0.118250i | ||||
\(178\) | −20.5238 | + | 35.5482i | −1.53832 | + | 2.66445i | ||||
\(179\) | −4.44978 | + | 7.70725i | −0.332592 | + | 0.576067i | −0.983019 | − | 0.183502i | \(-0.941257\pi\) |
0.650427 | + | 0.759569i | \(0.274590\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.17940 | −0.236323 | −0.118161 | − | 0.992994i | \(-0.537700\pi\) | ||||
−0.118161 | + | 0.992994i | \(0.537700\pi\) | |||||||
\(182\) | −0.141681 | − | 34.2881i | −0.0105021 | − | 2.54160i | ||||
\(183\) | −0.656256 | −0.0485119 | ||||||||
\(184\) | −14.8930 | − | 25.7954i | −1.09793 | − | 1.90167i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0.796734 | − | 1.37998i | 0.0584194 | − | 0.101185i | ||||
\(187\) | 2.02952 | + | 3.51523i | 0.148413 | + | 0.257059i | ||||
\(188\) | −18.3659 | −1.33947 | ||||||||
\(189\) | −2.29673 | − | 1.31340i | −0.167063 | − | 0.0955355i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 0.311309 | + | 0.539203i | 0.0225255 | + | 0.0390154i | 0.877068 | − | 0.480365i | \(-0.159496\pi\) |
−0.854543 | + | 0.519381i | \(0.826163\pi\) | |||||||
\(192\) | −1.53844 | + | 2.66466i | −0.111028 | + | 0.192306i | ||||
\(193\) | 7.59383 | − | 13.1529i | 0.546616 | − | 0.946767i | −0.451887 | − | 0.892075i | \(-0.649249\pi\) |
0.998503 | − | 0.0546916i | \(-0.0174176\pi\) | |||||||
\(194\) | 1.93581 | + | 3.35292i | 0.138983 | + | 0.240726i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −30.3312 | + | 0.250666i | −2.16651 | + | 0.0179047i | ||||
\(197\) | −23.9410 | −1.70573 | −0.852863 | − | 0.522136i | \(-0.825136\pi\) | ||||
−0.852863 | + | 0.522136i | \(0.825136\pi\) | |||||||
\(198\) | −1.23078 | − | 2.13177i | −0.0874676 | − | 0.151498i | ||||
\(199\) | −6.97662 | + | 12.0839i | −0.494560 | + | 0.856602i | −0.999980 | − | 0.00627071i | \(-0.998004\pi\) |
0.505421 | + | 0.862873i | \(0.331337\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −4.62991 | − | 8.01924i | −0.326569 | − | 0.565633i | ||||
\(202\) | −13.8817 | −0.976714 | ||||||||
\(203\) | 13.6119 | + | 7.78403i | 0.955370 | + | 0.546332i | ||||
\(204\) | 17.9817 | 1.25897 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −20.7886 | + | 36.0069i | −1.44841 | + | 2.50872i | ||||
\(207\) | −2.53644 | + | 4.39324i | −0.176295 | + | 0.305351i | ||||
\(208\) | −15.7327 | − | 27.2498i | −1.09086 | − | 1.88943i | ||||
\(209\) | −2.24973 | −0.155617 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.82315 | 0.332040 | 0.166020 | − | 0.986122i | \(-0.446908\pi\) | ||||
0.166020 | + | 0.986122i | \(0.446908\pi\) | |||||||
\(212\) | −16.5380 | − | 28.6446i | −1.13583 | − | 1.96732i | ||||
\(213\) | −2.74676 | + | 4.75752i | −0.188205 | + | 0.325980i | ||||
\(214\) | 3.00505 | − | 5.20489i | 0.205421 | − | 0.355799i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −5.87162 | −0.399513 | ||||||||
\(217\) | −1.44734 | + | 0.843617i | −0.0982521 | + | 0.0572685i | ||||
\(218\) | −45.5742 | −3.08667 | ||||||||
\(219\) | 2.68905 | + | 4.65758i | 0.181709 | + | 0.314730i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 10.6852 | − | 18.5073i | 0.718762 | − | 1.24493i | ||||
\(222\) | 11.3938 | + | 19.7347i | 0.764705 | + | 1.32451i | ||||
\(223\) | −15.8227 | −1.05956 | −0.529782 | − | 0.848134i | \(-0.677726\pi\) | ||||
−0.529782 | + | 0.848134i | \(0.677726\pi\) | |||||||
\(224\) | −8.30475 | + | 4.84061i | −0.554884 | + | 0.323427i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −5.08818 | − | 8.81299i | −0.338461 | − | 0.586232i | ||||
\(227\) | −10.8492 | + | 18.7913i | −0.720084 | + | 1.24722i | 0.240882 | + | 0.970554i | \(0.422563\pi\) |
−0.960966 | + | 0.276667i | \(0.910770\pi\) | |||||||
\(228\) | −4.98318 | + | 8.63112i | −0.330019 | + | 0.571610i | ||||
\(229\) | 1.03844 | + | 1.79864i | 0.0686223 | + | 0.118857i | 0.898295 | − | 0.439393i | \(-0.144806\pi\) |
−0.829673 | + | 0.558250i | \(0.811473\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.0106933 | + | 2.58788i | 0.000703570 | + | 0.170270i | ||||
\(232\) | 34.7990 | 2.28467 | ||||||||
\(233\) | −3.37951 | − | 5.85348i | −0.221399 | − | 0.383474i | 0.733834 | − | 0.679329i | \(-0.237729\pi\) |
−0.955233 | + | 0.295854i | \(0.904396\pi\) | |||||||
\(234\) | −6.47990 | + | 11.2235i | −0.423604 | + | 0.733704i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −3.93581 | − | 6.81702i | −0.256199 | − | 0.443750i | ||||
\(237\) | 10.8869 | 0.707182 | ||||||||
\(238\) | −23.9853 | − | 13.7161i | −1.55474 | − | 0.889082i | ||||
\(239\) | −2.90478 | −0.187894 | −0.0939472 | − | 0.995577i | \(-0.529949\pi\) | ||||
−0.0939472 | + | 0.995577i | \(0.529949\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.44875 | − | 7.70546i | 0.286569 | − | 0.496352i | −0.686419 | − | 0.727206i | \(-0.740819\pi\) |
0.972988 | + | 0.230854i | \(0.0741519\pi\) | |||||||
\(242\) | 12.6373 | − | 21.8885i | 0.812358 | − | 1.40705i | ||||
\(243\) | 0.500000 | + | 0.866025i | 0.0320750 | + | 0.0555556i | ||||
\(244\) | 2.84367 | 0.182047 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −6.68165 | −0.426007 | ||||||||
\(247\) | 5.92227 | + | 10.2577i | 0.376825 | + | 0.652680i | ||||
\(248\) | −1.85892 | + | 3.21974i | −0.118042 | + | 0.204454i | ||||
\(249\) | 3.31331 | − | 5.73883i | 0.209973 | − | 0.363683i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −21.1747 | −1.33653 | −0.668267 | − | 0.743921i | \(-0.732964\pi\) | ||||
−0.668267 | + | 0.743921i | \(0.732964\pi\) | |||||||
\(252\) | 9.95215 | + | 5.69118i | 0.626927 | + | 0.358510i | ||||
\(253\) | 4.96196 | 0.311956 | ||||||||
\(254\) | −8.61958 | − | 14.9295i | −0.540840 | − | 0.936763i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 15.8096 | − | 27.3830i | 0.988097 | − | 1.71143i | ||||
\(257\) | 3.11721 | + | 5.39917i | 0.194446 | + | 0.336791i | 0.946719 | − | 0.322061i | \(-0.104376\pi\) |
−0.752273 | + | 0.658852i | \(0.771042\pi\) | |||||||
\(258\) | −0.868086 | −0.0540447 | ||||||||
\(259\) | −0.0989929 | − | 23.9571i | −0.00615112 | − | 1.48862i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.96332 | − | 5.13262i | −0.183425 | − | 0.317701i | ||||
\(262\) | 5.06512 | − | 8.77304i | 0.312924 | − | 0.542000i | ||||
\(263\) | −14.0240 | + | 24.2903i | −0.864756 | + | 1.49780i | 0.00253231 | + | 0.999997i | \(0.499194\pi\) |
−0.867289 | + | 0.497805i | \(0.834139\pi\) | |||||||
\(264\) | 2.87162 | + | 4.97379i | 0.176736 | + | 0.306116i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 13.2306 | − | 7.71176i | 0.811221 | − | 0.472839i | ||||
\(267\) | −16.3108 | −0.998207 | ||||||||
\(268\) | 20.0622 | + | 34.7487i | 1.22549 | + | 2.12262i | ||||
\(269\) | −3.70915 | + | 6.42444i | −0.226151 | + | 0.391705i | −0.956664 | − | 0.291194i | \(-0.905948\pi\) |
0.730513 | + | 0.682899i | \(0.239281\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 15.6058 | + | 27.0300i | 0.947985 | + | 1.64196i | 0.749662 | + | 0.661821i | \(0.230216\pi\) |
0.198323 | + | 0.980137i | \(0.436450\pi\) | |||||||
\(272\) | −25.3553 | −1.53739 | ||||||||
\(273\) | 11.7714 | − | 6.86120i | 0.712435 | − | 0.415259i | ||||
\(274\) | 28.2659 | 1.70761 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 10.9908 | − | 19.0367i | 0.661570 | − | 1.14587i | ||||
\(277\) | −6.22629 | + | 10.7843i | −0.374102 | + | 0.647963i | −0.990192 | − | 0.139712i | \(-0.955382\pi\) |
0.616090 | + | 0.787675i | \(0.288716\pi\) | |||||||
\(278\) | 6.27875 | + | 10.8751i | 0.376574 | + | 0.652246i | ||||
\(279\) | 0.633188 | 0.0379080 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.0409225 | −0.00244123 | −0.00122061 | − | 0.999999i | \(-0.500389\pi\) | ||||
−0.00122061 | + | 0.999999i | \(0.500389\pi\) | |||||||
\(282\) | −5.33317 | − | 9.23733i | −0.317586 | − | 0.550075i | ||||
\(283\) | 5.42100 | − | 9.38944i | 0.322245 | − | 0.558144i | −0.658706 | − | 0.752400i | \(-0.728896\pi\) |
0.980951 | + | 0.194256i | \(0.0622293\pi\) | |||||||
\(284\) | 11.9022 | − | 20.6152i | 0.706264 | − | 1.22329i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 12.6764 | 0.749574 | ||||||||
\(287\) | 6.09795 | + | 3.48714i | 0.359951 | + | 0.205839i | ||||
\(288\) | 3.63319 | 0.214088 | ||||||||
\(289\) | −0.110288 | − | 0.191024i | −0.00648752 | − | 0.0112367i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.769222 | + | 1.33233i | −0.0450926 | + | 0.0781027i | ||||
\(292\) | −11.6521 | − | 20.1821i | −0.681890 | − | 1.18107i | ||||
\(293\) | −29.6455 | −1.73191 | −0.865953 | − | 0.500125i | \(-0.833287\pi\) | ||||
−0.865953 | + | 0.500125i | \(0.833287\pi\) | |||||||
\(294\) | −8.93380 | − | 15.1826i | −0.521030 | − | 0.885470i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −26.5838 | − | 46.0445i | −1.54515 | − | 2.67628i | ||||
\(297\) | 0.489068 | − | 0.847090i | 0.0283786 | − | 0.0491531i | ||||
\(298\) | 18.2380 | − | 31.5891i | 1.05650 | − | 1.82991i | ||||
\(299\) | −13.0621 | − | 22.6242i | −0.755399 | − | 1.30839i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.792252 | + | 0.453052i | 0.0456646 | + | 0.0261135i | ||||
\(302\) | 19.8481 | 1.14213 | ||||||||
\(303\) | −2.75805 | − | 4.77708i | −0.158446 | − | 0.274436i | ||||
\(304\) | 7.02660 | − | 12.1704i | 0.403003 | − | 0.698022i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 5.22161 | + | 9.04410i | 0.298500 | + | 0.517017i | ||||
\(307\) | −31.6055 | −1.80382 | −0.901910 | − | 0.431923i | \(-0.857835\pi\) | ||||
−0.901910 | + | 0.431923i | \(0.857835\pi\) | |||||||
\(308\) | −0.0463361 | − | 11.2137i | −0.00264024 | − | 0.638962i | ||||
\(309\) | −16.5213 | −0.939865 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −11.0851 | + | 19.2000i | −0.628581 | + | 1.08873i | 0.359256 | + | 0.933239i | \(0.383031\pi\) |
−0.987837 | + | 0.155495i | \(0.950303\pi\) | |||||||
\(312\) | 15.1187 | − | 26.1864i | 0.855930 | − | 1.48251i | ||||
\(313\) | 3.44286 | + | 5.96321i | 0.194602 | + | 0.337060i | 0.946770 | − | 0.321911i | \(-0.104325\pi\) |
−0.752168 | + | 0.658971i | \(0.770992\pi\) | |||||||
\(314\) | 16.4995 | 0.931118 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −47.1749 | −2.65380 | ||||||||
\(317\) | 6.41935 | + | 11.1186i | 0.360547 | + | 0.624485i | 0.988051 | − | 0.154128i | \(-0.0492568\pi\) |
−0.627504 | + | 0.778613i | \(0.715923\pi\) | |||||||
\(318\) | 9.60476 | − | 16.6359i | 0.538608 | − | 0.932897i | ||||
\(319\) | −2.89853 | + | 5.02040i | −0.162286 | + | 0.281088i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 2.38820 | 0.133296 | ||||||||
\(322\) | −29.1812 | + | 17.0090i | −1.62621 | + | 0.947872i | ||||
\(323\) | 9.54453 | 0.531072 | ||||||||
\(324\) | −2.16659 | − | 3.75264i | −0.120366 | − | 0.208480i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 15.4214 | − | 26.7106i | 0.854110 | − | 1.47936i | ||||
\(327\) | −9.05479 | − | 15.6833i | −0.500731 | − | 0.867291i | ||||
\(328\) | 15.5895 | 0.860784 | ||||||||
\(329\) | 0.0463361 | + | 11.2137i | 0.00255459 | + | 0.618233i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.26678 | + | 7.39028i | 0.234524 | + | 0.406207i | 0.959134 | − | 0.282952i | \(-0.0913137\pi\) |
−0.724611 | + | 0.689159i | \(0.757980\pi\) | |||||||
\(332\) | −14.3572 | + | 24.8673i | −0.787952 | + | 1.36477i | ||||
\(333\) | −4.52751 | + | 7.84188i | −0.248106 | + | 0.429732i | ||||
\(334\) | 2.68317 | + | 4.64738i | 0.146816 | + | 0.254293i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −14.0332 | − | 8.02492i | −0.765572 | − | 0.437795i | ||||
\(337\) | 29.1131 | 1.58589 | 0.792946 | − | 0.609292i | \(-0.208546\pi\) | ||||
0.792946 | + | 0.609292i | \(0.208546\pi\) | |||||||
\(338\) | −17.0122 | − | 29.4660i | −0.925343 | − | 1.60274i | ||||
\(339\) | 2.02186 | − | 3.50197i | 0.109813 | − | 0.190201i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.309672 | − | 0.536367i | −0.0167697 | − | 0.0290459i | ||||
\(342\) | −5.78817 | −0.312988 | ||||||||
\(343\) | 0.229575 | + | 18.5188i | 0.0123959 | + | 0.999923i | ||||
\(344\) | 2.02540 | 0.109202 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −14.5314 | + | 25.1691i | −0.781213 | + | 1.35310i | ||||
\(347\) | −6.72137 | + | 11.6418i | −0.360822 | + | 0.624962i | −0.988096 | − | 0.153836i | \(-0.950837\pi\) |
0.627274 | + | 0.778798i | \(0.284171\pi\) | |||||||
\(348\) | 12.8406 | + | 22.2405i | 0.688328 | + | 1.19222i | ||||
\(349\) | −24.7397 | −1.32429 | −0.662144 | − | 0.749377i | \(-0.730353\pi\) | ||||
−0.662144 | + | 0.749377i | \(0.730353\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −5.14977 | −0.274874 | ||||||||
\(352\) | −1.77687 | − | 3.07764i | −0.0947077 | − | 0.164039i | ||||
\(353\) | 8.37751 | − | 14.5103i | 0.445890 | − | 0.772303i | −0.552224 | − | 0.833696i | \(-0.686221\pi\) |
0.998114 | + | 0.0613923i | \(0.0195541\pi\) | |||||||
\(354\) | 2.28580 | − | 3.95913i | 0.121489 | − | 0.210425i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 70.6777 | 3.74591 | ||||||||
\(357\) | −0.0453668 | − | 10.9792i | −0.00240107 | − | 0.581079i | ||||
\(358\) | 22.3965 | 1.18369 | ||||||||
\(359\) | 16.2462 | + | 28.1393i | 0.857442 | + | 1.48513i | 0.874361 | + | 0.485276i | \(0.161281\pi\) |
−0.0169190 | + | 0.999857i | \(0.505386\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.85497 | − | 11.8732i | 0.360788 | − | 0.624903i | ||||
\(362\) | 4.00060 | + | 6.92925i | 0.210267 | + | 0.364193i | ||||
\(363\) | 10.0433 | 0.527134 | ||||||||
\(364\) | −51.0073 | + | 29.7308i | −2.67351 | + | 1.55832i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0.825761 | + | 1.43026i | 0.0431632 | + | 0.0747608i | ||||
\(367\) | 11.9809 | − | 20.7516i | 0.625400 | − | 1.08322i | −0.363064 | − | 0.931764i | \(-0.618269\pi\) |
0.988463 | − | 0.151460i | \(-0.0483974\pi\) | |||||||
\(368\) | −15.4978 | + | 26.8429i | −0.807877 | + | 1.39928i | ||||
\(369\) | −1.32753 | − | 2.29934i | −0.0691083 | − | 0.119699i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −17.4480 | + | 10.1699i | −0.905853 | + | 0.527997i | ||||
\(372\) | −2.74372 | −0.142255 | ||||||||
\(373\) | −5.53771 | − | 9.59160i | −0.286732 | − | 0.496634i | 0.686296 | − | 0.727323i | \(-0.259236\pi\) |
−0.973028 | + | 0.230688i | \(0.925902\pi\) | |||||||
\(374\) | 5.10744 | − | 8.84635i | 0.264100 | − | 0.457434i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 12.4432 | + | 21.5523i | 0.641710 | + | 1.11147i | ||||
\(377\) | 30.5208 | 1.57190 | ||||||||
\(378\) | 0.0275122 | + | 6.65819i | 0.00141507 | + | 0.342460i | ||||
\(379\) | −32.7423 | −1.68186 | −0.840929 | − | 0.541145i | \(-0.817991\pi\) | ||||
−0.840929 | + | 0.541145i | \(0.817991\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 3.42512 | − | 5.93247i | 0.175474 | − | 0.303930i | ||||
\(382\) | 0.783435 | − | 1.35695i | 0.0400840 | − | 0.0694275i | ||||
\(383\) | 11.6262 | + | 20.1371i | 0.594069 | + | 1.02896i | 0.993678 | + | 0.112271i | \(0.0358125\pi\) |
−0.399609 | + | 0.916686i | \(0.630854\pi\) | |||||||
\(384\) | 15.0096 | 0.765956 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −38.2210 | −1.94540 | ||||||||
\(387\) | −0.172473 | − | 0.298733i | −0.00876732 | − | 0.0151854i | ||||
\(388\) | 3.33317 | − | 5.77323i | 0.169216 | − | 0.293091i | ||||
\(389\) | 18.8131 | − | 32.5852i | 0.953861 | − | 1.65214i | 0.216907 | − | 0.976192i | \(-0.430403\pi\) |
0.736954 | − | 0.675943i | \(-0.236263\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −21.0513 | −1.06461 | ||||||||
\(392\) | 20.8441 | + | 35.4237i | 1.05279 | + | 1.78917i | ||||
\(393\) | 4.02540 | 0.203054 | ||||||||
\(394\) | 30.1247 | + | 52.1775i | 1.51766 | + | 2.62867i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −2.11922 | + | 3.67059i | −0.106495 | + | 0.184454i | ||||
\(397\) | 0.0287870 | + | 0.0498605i | 0.00144478 | + | 0.00250243i | 0.866747 | − | 0.498748i | \(-0.166207\pi\) |
−0.865302 | + | 0.501251i | \(0.832873\pi\) | |||||||
\(398\) | 35.1144 | 1.76013 | ||||||||
\(399\) | 5.28252 | + | 3.02083i | 0.264457 | + | 0.151231i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 4.53797 | + | 7.85999i | 0.226615 | + | 0.392509i | 0.956803 | − | 0.290738i | \(-0.0939007\pi\) |
−0.730188 | + | 0.683247i | \(0.760567\pi\) | |||||||
\(402\) | −11.6515 | + | 20.1810i | −0.581126 | + | 1.00654i | ||||
\(403\) | −1.63039 | + | 2.82391i | −0.0812153 | + | 0.140669i | ||||
\(404\) | 11.9511 | + | 20.6999i | 0.594590 | + | 1.02986i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.163055 | − | 39.4607i | −0.00809228 | − | 1.95840i | ||||
\(407\) | 8.85704 | 0.439027 | ||||||||
\(408\) | −12.1829 | − | 21.1014i | −0.603145 | − | 1.04468i | ||||
\(409\) | −8.30602 | + | 14.3865i | −0.410706 | + | 0.711364i | −0.994967 | − | 0.100202i | \(-0.968051\pi\) |
0.584261 | + | 0.811566i | \(0.301385\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 5.61594 | + | 9.72709i | 0.277014 | + | 0.479802i | ||||
\(412\) | 71.5897 | 3.52697 | ||||||||
\(413\) | −4.15237 | + | 2.42031i | −0.204325 | + | 0.119096i | ||||
\(414\) | 12.7663 | 0.627430 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −9.35504 | + | 16.2034i | −0.458669 | + | 0.794437i | ||||
\(417\) | −2.49495 | + | 4.32139i | −0.122178 | + | 0.211619i | ||||
\(418\) | 2.83081 | + | 4.90310i | 0.138459 | + | 0.239818i | ||||
\(419\) | −29.8759 | −1.45953 | −0.729766 | − | 0.683697i | \(-0.760371\pi\) | ||||
−0.729766 | + | 0.683697i | \(0.760371\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −19.3201 | −0.941602 | −0.470801 | − | 0.882239i | \(-0.656035\pi\) | ||||
−0.470801 | + | 0.882239i | \(0.656035\pi\) | |||||||
\(422\) | −6.06893 | − | 10.5117i | −0.295431 | − | 0.511701i | ||||
\(423\) | 2.11922 | − | 3.67059i | 0.103040 | − | 0.178470i | ||||
\(424\) | −22.4096 | + | 38.8145i | −1.08831 | + | 1.88500i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 13.8249 | 0.669817 | ||||||||
\(427\) | −0.00717444 | − | 1.73628i | −0.000347195 | − | 0.0840243i | ||||
\(428\) | −10.3485 | −0.500213 | ||||||||
\(429\) | 2.51858 | + | 4.36232i | 0.121598 | + | 0.210615i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 10.9981 | − | 19.0493i | 0.529761 | − | 0.917572i | −0.469637 | − | 0.882860i | \(-0.655615\pi\) |
0.999397 | − | 0.0347127i | \(-0.0110516\pi\) | |||||||
\(432\) | 3.05502 | + | 5.29146i | 0.146985 | + | 0.254585i | ||||
\(433\) | −2.72706 | −0.131054 | −0.0655272 | − | 0.997851i | \(-0.520873\pi\) | ||||
−0.0655272 | + | 0.997851i | \(0.520873\pi\) | |||||||
\(434\) | 3.65978 | + | 2.09286i | 0.175675 | + | 0.100460i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 39.2360 | + | 67.9587i | 1.87906 | + | 3.25463i | ||||
\(437\) | 5.83385 | − | 10.1045i | 0.279071 | − | 0.483365i | ||||
\(438\) | 6.76722 | − | 11.7212i | 0.323350 | − | 0.560059i | ||||
\(439\) | 3.77183 | + | 6.53300i | 0.180020 | + | 0.311803i | 0.941887 | − | 0.335930i | \(-0.109051\pi\) |
−0.761867 | + | 0.647733i | \(0.775717\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.44978 | − | 6.09089i | 0.164275 | − | 0.290043i | ||||
\(442\) | −53.7802 | −2.55806 | ||||||||
\(443\) | 5.21917 | + | 9.03987i | 0.247970 | + | 0.429497i | 0.962963 | − | 0.269635i | \(-0.0869031\pi\) |
−0.714992 | + | 0.699132i | \(0.753570\pi\) | |||||||
\(444\) | 19.6185 | − | 33.9802i | 0.931053 | − | 1.61263i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 19.9095 | + | 34.4843i | 0.942743 | + | 1.63288i | ||||
\(447\) | 14.4942 | 0.685554 | ||||||||
\(448\) | −7.06680 | − | 4.04118i | −0.333875 | − | 0.190928i | ||||
\(449\) | −1.73107 | −0.0816944 | −0.0408472 | − | 0.999165i | \(-0.513006\pi\) | ||||
−0.0408472 | + | 0.999165i | \(0.513006\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −1.29850 | + | 2.24907i | −0.0611440 | + | 0.105905i | ||||
\(452\) | −8.76109 | + | 15.1747i | −0.412087 | + | 0.713756i | ||||
\(453\) | 3.94346 | + | 6.83028i | 0.185280 | + | 0.320914i | ||||
\(454\) | 54.6055 | 2.56276 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 13.5048 | 0.632421 | ||||||||
\(457\) | −15.4307 | − | 26.7268i | −0.721819 | − | 1.25023i | −0.960270 | − | 0.279072i | \(-0.909973\pi\) |
0.238452 | − | 0.971154i | \(-0.423360\pi\) | |||||||
\(458\) | 2.61333 | − | 4.52642i | 0.122113 | − | 0.211506i | ||||
\(459\) | −2.07488 | + | 3.59380i | −0.0968473 | + | 0.167744i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 10.7294 | 0.499718 | 0.249859 | − | 0.968282i | \(-0.419616\pi\) | ||||
0.249859 | + | 0.968282i | \(0.419616\pi\) | |||||||
\(462\) | 5.62663 | − | 3.27961i | 0.261774 | − | 0.152581i | ||||
\(463\) | 11.1060 | 0.516141 | 0.258071 | − | 0.966126i | \(-0.416913\pi\) | ||||
0.258071 | + | 0.966126i | \(0.416913\pi\) | |||||||
\(464\) | −18.1060 | − | 31.3606i | −0.840552 | − | 1.45588i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −8.50481 | + | 14.7308i | −0.393978 | + | 0.682389i | ||||
\(467\) | −13.7947 | − | 23.8932i | −0.638344 | − | 1.10564i | −0.985796 | − | 0.167946i | \(-0.946286\pi\) |
0.347452 | − | 0.937698i | \(-0.387047\pi\) | |||||||
\(468\) | 22.3148 | 1.03150 | ||||||||
\(469\) | 21.1661 | − | 12.3372i | 0.977360 | − | 0.569677i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 3.27815 | + | 5.67792i | 0.151049 | + | 0.261625i | ||||
\(472\) | −5.33317 | + | 9.23733i | −0.245479 | + | 0.425182i | ||||
\(473\) | −0.168702 | + | 0.292201i | −0.00775694 | + | 0.0134354i | ||||
\(474\) | −13.6989 | − | 23.7272i | −0.629212 | − | 1.08983i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0.196582 | + | 47.5746i | 0.00901034 | + | 2.18058i | ||||
\(477\) | 7.63319 | 0.349500 | ||||||||
\(478\) | 3.65505 | + | 6.33074i | 0.167178 | + | 0.289561i | ||||
\(479\) | 5.00869 | − | 8.67530i | 0.228853 | − | 0.396385i | −0.728616 | − | 0.684923i | \(-0.759836\pi\) |
0.957468 | + | 0.288538i | \(0.0931692\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −23.3156 | − | 40.3839i | −1.06310 | − | 1.84135i | ||||
\(482\) | −22.3913 | −1.01989 | ||||||||
\(483\) | −11.6511 | − | 6.66270i | −0.530141 | − | 0.303163i | ||||
\(484\) | −43.5192 | −1.97814 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 1.25829 | − | 2.17942i | 0.0570772 | − | 0.0988606i | ||||
\(487\) | 15.3671 | − | 26.6165i | 0.696348 | − | 1.20611i | −0.273376 | − | 0.961907i | \(-0.588140\pi\) |
0.969724 | − | 0.244203i | \(-0.0785264\pi\) | |||||||
\(488\) | −1.92664 | − | 3.33704i | −0.0872150 | − | 0.151061i | ||||
\(489\) | 12.2558 | 0.554227 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 4.14054 | 0.186860 | 0.0934301 | − | 0.995626i | \(-0.470217\pi\) | ||||
0.0934301 | + | 0.995626i | \(0.470217\pi\) | |||||||
\(492\) | 5.75240 | + | 9.96346i | 0.259338 | + | 0.449187i | ||||
\(493\) | 12.2971 | − | 21.2992i | 0.553833 | − | 0.959268i | ||||
\(494\) | 14.9039 | − | 25.8143i | 0.670557 | − | 1.16144i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.86881 | 0.173715 | ||||||||
\(497\) | −12.6171 | − | 7.21516i | −0.565956 | − | 0.323644i | ||||
\(498\) | −16.6764 | −0.747289 | ||||||||
\(499\) | 0.774139 | + | 1.34085i | 0.0346552 | + | 0.0600246i | 0.882833 | − | 0.469687i | \(-0.155633\pi\) |
−0.848178 | + | 0.529712i | \(0.822300\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −1.06620 | + | 1.84671i | −0.0476341 | + | 0.0825047i | ||||
\(502\) | 26.6439 | + | 46.1486i | 1.18918 | + | 2.05971i | ||||
\(503\) | 15.1658 | 0.676210 | 0.338105 | − | 0.941108i | \(-0.390214\pi\) | ||||
0.338105 | + | 0.941108i | \(0.390214\pi\) | |||||||
\(504\) | −0.0641907 | − | 15.5347i | −0.00285928 | − | 0.691971i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −6.24359 | − | 10.8142i | −0.277561 | − | 0.480750i | ||||
\(507\) | 6.76006 | − | 11.7088i | 0.300225 | − | 0.520004i | ||||
\(508\) | −14.8416 | + | 25.7064i | −0.658491 | + | 1.14054i | ||||
\(509\) | 10.2327 | + | 17.7236i | 0.453558 | + | 0.785586i | 0.998604 | − | 0.0528204i | \(-0.0168211\pi\) |
−0.545046 | + | 0.838406i | \(0.683488\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −12.2933 | + | 7.16542i | −0.543823 | + | 0.316980i | ||||
\(512\) | −49.5528 | −2.18994 | ||||||||
\(513\) | −1.15001 | − | 1.99187i | −0.0507741 | − | 0.0879432i | ||||
\(514\) | 7.84471 | − | 13.5874i | 0.346015 | − | 0.599316i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0.747358 | + | 1.29446i | 0.0329006 | + | 0.0569855i | ||||
\(517\) | −4.14576 | −0.182330 | ||||||||
\(518\) | −52.0882 | + | 30.3608i | −2.28862 | + | 1.33398i | ||||
\(519\) | −11.5485 | −0.506924 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −1.37337 | + | 2.37875i | −0.0601685 | + | 0.104215i | −0.894541 | − | 0.446987i | \(-0.852497\pi\) |
0.834372 | + | 0.551202i | \(0.185830\pi\) | |||||||
\(522\) | −7.45743 | + | 12.9167i | −0.326403 | + | 0.565347i | ||||
\(523\) | −19.9335 | − | 34.5258i | −0.871629 | − | 1.50971i | −0.860311 | − | 0.509770i | \(-0.829731\pi\) |
−0.0113184 | − | 0.999936i | \(-0.503603\pi\) | |||||||
\(524\) | −17.4427 | −0.761990 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 70.5850 | 3.07765 | ||||||||
\(527\) | 1.31379 | + | 2.27556i | 0.0572297 | + | 0.0991247i | ||||
\(528\) | 2.98823 | − | 5.17576i | 0.130046 | − | 0.225246i | ||||
\(529\) | −1.36705 | + | 2.36780i | −0.0594370 | + | 0.102948i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.81659 | 0.0788335 | ||||||||
\(532\) | −22.8901 | − | 13.0898i | −0.992411 | − | 0.567514i | ||||
\(533\) | 13.6729 | 0.592239 | ||||||||
\(534\) | 20.5238 | + | 35.5482i | 0.888150 | + | 1.53832i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 27.1851 | − | 47.0859i | 1.17422 | − | 2.03380i | ||||
\(537\) | 4.44978 | + | 7.70725i | 0.192022 | + | 0.332592i | ||||
\(538\) | 18.6688 | 0.804867 | ||||||||
\(539\) | −6.84671 | + | 0.0565834i | −0.294909 | + | 0.00243722i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −13.2493 | − | 22.9485i | −0.569633 | − | 0.986633i | −0.996602 | − | 0.0823667i | \(-0.973752\pi\) |
0.426969 | − | 0.904266i | \(-0.359581\pi\) | |||||||
\(542\) | 39.2732 | − | 68.0232i | 1.68693 | − | 2.92185i | ||||
\(543\) | −1.58970 | + | 2.75344i | −0.0682205 | + | 0.118161i | ||||
\(544\) | 7.53844 | + | 13.0570i | 0.323208 | + | 0.559813i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −29.7652 | − | 17.0214i | −1.27383 | − | 0.728447i | ||||
\(547\) | 12.9090 | 0.551950 | 0.275975 | − | 0.961165i | \(-0.410999\pi\) | ||||
0.275975 | + | 0.961165i | \(0.410999\pi\) | |||||||
\(548\) | −24.3348 | − | 42.1492i | −1.03953 | − | 1.80052i | ||||
\(549\) | −0.328128 | + | 0.568335i | −0.0140042 | + | 0.0242559i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.81568 | + | 11.8051i | 0.290358 | + | 0.502914i | ||||
\(552\) | −29.7860 | −1.26778 | ||||||||
\(553\) | 0.119020 | + | 28.8038i | 0.00506124 | + | 1.22486i | ||||
\(554\) | 31.3379 | 1.33142 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 10.8111 | − | 18.7253i | 0.458492 | − | 0.794131i | ||||
\(557\) | −3.59254 | + | 6.22247i | −0.152221 | + | 0.263654i | −0.932044 | − | 0.362346i | \(-0.881976\pi\) |
0.779823 | + | 0.626000i | \(0.215309\pi\) | |||||||
\(558\) | −0.796734 | − | 1.37998i | −0.0337285 | − | 0.0584194i | ||||
\(559\) | 1.77640 | 0.0751336 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 4.05903 | 0.171373 | ||||||||
\(562\) | 0.0514923 | + | 0.0891873i | 0.00217207 | + | 0.00376214i | ||||
\(563\) | −1.19350 | + | 2.06720i | −0.0502999 | + | 0.0871220i | −0.890079 | − | 0.455806i | \(-0.849351\pi\) |
0.839779 | + | 0.542928i | \(0.182684\pi\) | |||||||
\(564\) | −9.18293 | + | 15.9053i | −0.386671 | + | 0.669734i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −27.2847 | −1.14686 | ||||||||
\(567\) | −2.28580 | + | 1.33233i | −0.0959947 | + | 0.0559527i | ||||
\(568\) | −32.2558 | −1.35342 | ||||||||
\(569\) | −14.9271 | − | 25.8545i | −0.625776 | − | 1.08388i | −0.988390 | − | 0.151936i | \(-0.951449\pi\) |
0.362615 | − | 0.931939i | \(-0.381884\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 9.73170 | − | 16.8558i | 0.407259 | − | 0.705393i | −0.587322 | − | 0.809353i | \(-0.699818\pi\) |
0.994582 | + | 0.103960i | \(0.0331513\pi\) | |||||||
\(572\) | −10.9135 | − | 18.9027i | −0.456315 | − | 0.790361i | ||||
\(573\) | 0.622618 | 0.0260103 | ||||||||
\(574\) | −0.0730463 | − | 17.6778i | −0.00304889 | − | 0.737859i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 1.53844 | + | 2.66466i | 0.0641019 | + | 0.111028i | ||||
\(577\) | −1.98094 | + | 3.43108i | −0.0824675 | + | 0.142838i | −0.904309 | − | 0.426878i | \(-0.859613\pi\) |
0.821842 | + | 0.569716i | \(0.192947\pi\) | |||||||
\(578\) | −0.277548 | + | 0.480727i | −0.0115445 | + | 0.0199956i | ||||
\(579\) | −7.59383 | − | 13.1529i | −0.315589 | − | 0.546616i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 15.2196 | + | 8.70339i | 0.631416 | + | 0.361078i | ||||
\(582\) | 3.87162 | 0.160484 | ||||||||
\(583\) | −3.73315 | − | 6.46600i | −0.154611 | − | 0.267794i | ||||
\(584\) | −15.7891 | + | 27.3475i | −0.653357 | + | 1.13165i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 37.3026 | + | 64.6100i | 1.54096 | + | 2.66901i | ||||
\(587\) | −13.9419 | −0.575446 | −0.287723 | − | 0.957714i | \(-0.592898\pi\) | ||||
−0.287723 | + | 0.957714i | \(0.592898\pi\) | |||||||
\(588\) | −14.9485 | + | 26.3929i | −0.616466 | + | 1.08843i | ||||
\(589\) | −1.45634 | −0.0600075 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −11.9705 | + | 20.7335i | −0.492400 | + | 0.852863i | ||||
\(592\) | −27.6633 | + | 47.9143i | −1.13696 | + | 1.96926i | ||||
\(593\) | −19.2486 | − | 33.3396i | −0.790447 | − | 1.36909i | −0.925690 | − | 0.378282i | \(-0.876515\pi\) |
0.135243 | − | 0.990812i | \(-0.456818\pi\) | |||||||
\(594\) | −2.46156 | −0.100999 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −62.8061 | −2.57264 | ||||||||
\(597\) | 6.97662 | + | 12.0839i | 0.285534 | + | 0.494560i | ||||
\(598\) | −32.8718 | + | 56.9356i | −1.34423 | + | 2.32827i | ||||
\(599\) | −8.74985 | + | 15.1552i | −0.357509 | + | 0.619224i | −0.987544 | − | 0.157343i | \(-0.949707\pi\) |
0.630035 | + | 0.776567i | \(0.283041\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 34.5192 | 1.40807 | 0.704033 | − | 0.710167i | \(-0.251381\pi\) | ||||
0.704033 | + | 0.710167i | \(0.251381\pi\) | |||||||
\(602\) | −0.00949025 | − | 2.29672i | −0.000386794 | − | 0.0936074i | ||||
\(603\) | −9.25982 | −0.377089 | ||||||||
\(604\) | −17.0877 | − | 29.5968i | −0.695289 | − | 1.20428i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −6.94086 | + | 12.0219i | −0.281953 | + | 0.488357i | ||||
\(607\) | 5.45780 | + | 9.45318i | 0.221525 | + | 0.383693i | 0.955271 | − | 0.295731i | \(-0.0955632\pi\) |
−0.733746 | + | 0.679424i | \(0.762230\pi\) | |||||||
\(608\) | −8.35639 | −0.338896 | ||||||||
\(609\) | 13.5471 | − | 7.89626i | 0.548958 | − | 0.319972i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 10.9135 | + | 18.9027i | 0.441512 | + | 0.764721i | ||||
\(612\) | 8.99083 | − | 15.5726i | 0.363433 | − | 0.629484i | ||||
\(613\) | −13.0587 | + | 22.6183i | −0.527435 | + | 0.913543i | 0.472054 | + | 0.881570i | \(0.343513\pi\) |
−0.999489 | + | 0.0319739i | \(0.989821\pi\) | |||||||
\(614\) | 39.7689 | + | 68.8817i | 1.60494 | + | 2.77984i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −13.1279 | + | 7.65190i | −0.528938 | + | 0.308304i | ||||
\(617\) | −11.6689 | −0.469772 | −0.234886 | − | 0.972023i | \(-0.575472\pi\) | ||||
−0.234886 | + | 0.972023i | \(0.575472\pi\) | |||||||
\(618\) | 20.7886 | + | 36.0069i | 0.836240 | + | 1.44841i | ||||
\(619\) | 0.411816 | − | 0.713286i | 0.0165523 | − | 0.0286694i | −0.857631 | − | 0.514266i | \(-0.828064\pi\) |
0.874183 | + | 0.485597i | \(0.161398\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.53644 | + | 4.39324i | 0.101784 | + | 0.176295i | ||||
\(622\) | 55.7933 | 2.23711 | ||||||||
\(623\) | −0.178316 | − | 43.1540i | −0.00714408 | − | 1.72893i | ||||
\(624\) | −31.4653 | −1.25962 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 8.66423 | − | 15.0069i | 0.346292 | − | 0.599796i | ||||
\(627\) | −1.12486 | + | 1.94832i | −0.0449227 | + | 0.0778084i | ||||
\(628\) | −14.2048 | − | 24.6034i | −0.566833 | − | 0.981783i | ||||
\(629\) | −37.5763 | −1.49826 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −20.5920 | −0.819755 | −0.409877 | − | 0.912141i | \(-0.634429\pi\) | ||||
−0.409877 | + | 0.912141i | \(0.634429\pi\) | |||||||
\(632\) | 31.9619 | + | 55.3597i | 1.27138 | + | 2.20209i | ||||
\(633\) | 2.41158 | − | 4.17697i | 0.0958516 | − | 0.166020i | ||||
\(634\) | 16.1548 | − | 27.9810i | 0.641590 | − | 1.11127i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −33.0759 | −1.31155 | ||||||||
\(637\) | 18.2816 | + | 31.0688i | 0.724342 | + | 1.23099i | ||||
\(638\) | 14.5888 | 0.577575 | ||||||||
\(639\) | 2.74676 | + | 4.75752i | 0.108660 | + | 0.188205i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −14.8371 | + | 25.6986i | −0.586029 | + | 1.01503i | 0.408717 | + | 0.912661i | \(0.365976\pi\) |
−0.994746 | + | 0.102371i | \(0.967357\pi\) | |||||||
\(642\) | −3.00505 | − | 5.20489i | −0.118600 | − | 0.205421i | ||||
\(643\) | −11.1286 | −0.438870 | −0.219435 | − | 0.975627i | \(-0.570421\pi\) | ||||
−0.219435 | + | 0.975627i | \(0.570421\pi\) | |||||||
\(644\) | 50.4861 | + | 28.8706i | 1.98943 | + | 1.13766i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −12.0098 | − | 20.8016i | −0.472519 | − | 0.818426i | ||||
\(647\) | −5.46168 | + | 9.45991i | −0.214721 | + | 0.371907i | −0.953186 | − | 0.302384i | \(-0.902217\pi\) |
0.738465 | + | 0.674291i | \(0.235551\pi\) | |||||||
\(648\) | −2.93581 | + | 5.08497i | −0.115329 | + | 0.199757i | ||||
\(649\) | −0.888437 | − | 1.53882i | −0.0348742 | − | 0.0604039i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0.00692225 | + | 1.67524i | 0.000271304 | + | 0.0656580i | ||||
\(652\) | −53.1065 | −2.07981 | ||||||||
\(653\) | −3.58538 | − | 6.21006i | −0.140307 | − | 0.243019i | 0.787305 | − | 0.616563i | \(-0.211476\pi\) |
−0.927612 | + | 0.373545i | \(0.878142\pi\) | |||||||
\(654\) | −22.7871 | + | 39.4684i | −0.891046 | + | 1.54334i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −8.11125 | − | 14.0491i | −0.316691 | − | 0.548525i | ||||
\(657\) | 5.37811 | 0.209820 | ||||||||
\(658\) | 24.3812 | − | 14.2111i | 0.950477 | − | 0.554007i | ||||
\(659\) | 14.1232 | 0.550161 | 0.275080 | − | 0.961421i | \(-0.411296\pi\) | ||||
0.275080 | + | 0.961421i | \(0.411296\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −14.4608 | + | 25.0469i | −0.562461 | + | 0.974212i | 0.434819 | + | 0.900518i | \(0.356812\pi\) |
−0.997281 | + | 0.0736941i | \(0.976521\pi\) | |||||||
\(662\) | 10.7377 | − | 18.5982i | 0.417333 | − | 0.722841i | ||||
\(663\) | −10.6852 | − | 18.5073i | −0.414978 | − | 0.718762i | ||||
\(664\) | 38.9090 | 1.50996 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 22.7877 | 0.883005 | ||||||||
\(667\) | −15.0326 | − | 26.0372i | −0.582063 | − | 1.00816i | ||||
\(668\) | 4.62001 | − | 8.00210i | 0.178754 | − | 0.309610i | ||||
\(669\) | −7.91134 | + | 13.7028i | −0.305870 | + | 0.529782i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.641907 | 0.0247806 | ||||||||
\(672\) | 0.0397194 | + | 9.61243i | 0.00153221 | + | 0.370808i | ||||
\(673\) | 14.4081 | 0.555392 | 0.277696 | − | 0.960669i | \(-0.410429\pi\) | ||||
0.277696 | + | 0.960669i | \(0.410429\pi\) | |||||||
\(674\) | −36.6327 | − | 63.4497i | −1.41104 | − | 2.44399i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −29.2925 | + | 50.7361i | −1.12663 | + | 1.95139i | ||||
\(677\) | −15.0683 | − | 26.0991i | −0.579123 | − | 1.00307i | −0.995580 | − | 0.0939148i | \(-0.970062\pi\) |
0.416457 | − | 0.909155i | \(-0.363271\pi\) | |||||||
\(678\) | −10.1764 | −0.390821 | ||||||||
\(679\) | −3.53340 | − | 2.02059i | −0.135599 | − | 0.0775430i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 10.8492 | + | 18.7913i | 0.415740 | + | 0.720084i | ||||
\(682\) | −0.779314 | + | 1.34981i | −0.0298415 | + | 0.0516870i | ||||
\(683\) | −7.75842 | + | 13.4380i | −0.296868 | + | 0.514190i | −0.975418 | − | 0.220364i | \(-0.929275\pi\) |
0.678550 | + | 0.734554i | \(0.262609\pi\) | |||||||
\(684\) | 4.98318 | + | 8.63112i | 0.190537 | + | 0.330019i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 40.0715 | − | 23.8024i | 1.52994 | − | 0.908780i | ||||
\(687\) | 2.07689 | 0.0792383 | ||||||||
\(688\) | −1.05382 | − | 1.82527i | −0.0401766 | − | 0.0695878i | ||||
\(689\) | −19.6546 | + | 34.0427i | −0.748780 | + | 1.29692i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.8917 | − | 39.6496i | −0.870842 | − | 1.50834i | −0.861127 | − | 0.508391i | \(-0.830241\pi\) |
−0.00971588 | − | 0.999953i | \(-0.503093\pi\) | |||||||
\(692\) | 50.0418 | 1.90230 | ||||||||
\(693\) | 2.24652 | + | 1.28468i | 0.0853381 | + | 0.0488009i | ||||
\(694\) | 33.8297 | 1.28416 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 17.3995 | − | 30.1368i | 0.659526 | − | 1.14233i | ||||
\(697\) | 5.50893 | − | 9.54174i | 0.208666 | − | 0.361419i | ||||
\(698\) | 31.1298 | + | 53.9183i | 1.17828 | + | 2.04084i | ||||
\(699\) | −6.75902 | −0.255650 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 24.0419 | 0.908050 | 0.454025 | − | 0.890989i | \(-0.349988\pi\) | ||||
0.454025 | + | 0.890989i | \(0.349988\pi\) | |||||||
\(702\) | 6.47990 | + | 11.2235i | 0.244568 | + | 0.423604i | ||||
\(703\) | 10.4133 | − | 18.0364i | 0.392747 | − | 0.680257i | ||||
\(704\) | 1.50481 | − | 2.60640i | 0.0567145 | − | 0.0982325i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −42.1653 | −1.58691 | ||||||||
\(707\) | 12.6087 | − | 7.34928i | 0.474200 | − | 0.276398i | ||||
\(708\) | −7.87162 | −0.295834 | ||||||||
\(709\) | −9.19854 | − | 15.9323i | −0.345459 | − | 0.598352i | 0.639978 | − | 0.768393i | \(-0.278943\pi\) |
−0.985437 | + | 0.170041i | \(0.945610\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 5.44346 | − | 9.42835i | 0.204146 | − | 0.353591i | ||||
\(712\) | −47.8855 | − | 82.9401i | −1.79458 | − | 3.10831i | ||||
\(713\) | 3.21209 | 0.120294 | ||||||||
\(714\) | −23.8711 | + | 13.9138i | −0.893355 | + | 0.520712i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −19.2817 | − | 33.3969i | −0.720590 | − | 1.24810i | ||||
\(717\) | −1.45239 | + | 2.51561i | −0.0542405 | + | 0.0939472i | ||||
\(718\) | 40.8849 | − | 70.8147i | 1.52581 | − | 2.64278i | ||||
\(719\) | 8.12275 | + | 14.0690i | 0.302927 | + | 0.524686i | 0.976798 | − | 0.214164i | \(-0.0687027\pi\) |
−0.673870 | + | 0.738850i | \(0.735369\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.180617 | − | 43.7109i | −0.00672654 | − | 1.62788i | ||||
\(722\) | −34.5021 | −1.28404 | ||||||||
\(723\) | −4.44875 | − | 7.70546i | −0.165451 | − | 0.286569i | ||||
\(724\) | 6.88844 | − | 11.9311i | 0.256007 | − | 0.443417i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −12.6373 | − | 21.8885i | −0.469015 | − | 0.812358i | ||||
\(727\) | −42.6977 | −1.58357 | −0.791785 | − | 0.610800i | \(-0.790848\pi\) | ||||
−0.791785 | + | 0.610800i | \(0.790848\pi\) | |||||||
\(728\) | 69.4474 | + | 39.7138i | 2.57389 | + | 1.47189i | ||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.715725 | − | 1.23967i | 0.0264720 | − | 0.0458509i | ||||
\(732\) | 1.42184 | − | 2.46269i | 0.0525526 | − | 0.0910237i | ||||
\(733\) | 23.3560 | + | 40.4538i | 0.862674 | + | 1.49420i | 0.869338 | + | 0.494218i | \(0.164545\pi\) |
−0.00666408 | + | 0.999978i | \(0.502121\pi\) | |||||||
\(734\) | −60.3020 | −2.22579 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 18.4307 | 0.679366 | ||||||||
\(737\) | 4.52868 | + | 7.84390i | 0.166816 | + | 0.288934i | ||||
\(738\) | −3.34083 | + | 5.78648i | −0.122978 | + | 0.213003i | ||||
\(739\) | −3.52410 | + | 6.10393i | −0.129636 | + | 0.224537i | −0.923536 | − | 0.383513i | \(-0.874714\pi\) |
0.793899 | + | 0.608049i | \(0.208048\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 11.8445 | 0.435120 | ||||||||
\(742\) | 44.1192 | + | 25.2297i | 1.61967 | + | 0.926212i | ||||
\(743\) | −8.55510 | −0.313856 | −0.156928 | − | 0.987610i | \(-0.550159\pi\) | ||||
−0.156928 | + | 0.987610i | \(0.550159\pi\) | |||||||
\(744\) | 1.85892 | + | 3.21974i | 0.0681513 | + | 0.118042i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −13.9361 | + | 24.1380i | −0.510237 | + | 0.883756i | ||||
\(747\) | −3.31331 | − | 5.73883i | −0.121228 | − | 0.209973i | ||||
\(748\) | −17.5885 | −0.643099 | ||||||||
\(749\) | 0.0261087 | + | 6.31853i | 0.000953990 | + | 0.230874i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.48823 | + | 2.57768i | 0.0543062 | + | 0.0940611i | 0.891901 | − | 0.452232i | \(-0.149372\pi\) |
−0.837594 | + | 0.546293i | \(0.816039\pi\) | |||||||
\(752\) | 12.9485 | − | 22.4275i | 0.472183 | − | 0.817846i | ||||
\(753\) | −10.5873 | + | 18.3378i | −0.385824 | + | 0.668267i | ||||
\(754\) | −38.4041 | − | 66.5178i | −1.39859 | − | 2.42243i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 9.90478 | − | 5.77323i | 0.360233 | − | 0.209970i | ||||
\(757\) | 43.6750 | 1.58740 | 0.793698 | − | 0.608313i | \(-0.208153\pi\) | ||||
0.793698 | + | 0.608313i | \(0.208153\pi\) | |||||||
\(758\) | 41.1993 | + | 71.3592i | 1.49643 | + | 2.59188i | ||||
\(759\) | 2.48098 | − | 4.29718i | 0.0900539 | − | 0.155978i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −13.3628 | − | 23.1451i | −0.484402 | − | 0.839008i | 0.515438 | − | 0.856927i | \(-0.327629\pi\) |
−0.999839 | + | 0.0179187i | \(0.994296\pi\) | |||||||
\(762\) | −17.2392 | −0.624509 | ||||||||
\(763\) | 41.3949 | − | 24.1280i | 1.49860 | − | 0.873491i | ||||
\(764\) | −2.69791 | −0.0976071 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 29.2581 | − | 50.6766i | 1.05714 | − | 1.83102i | ||||
\(767\) | −4.67752 | + | 8.10170i | −0.168895 | + | 0.292535i | ||||
\(768\) | −15.8096 | − | 27.3830i | −0.570478 | − | 0.988097i | ||||
\(769\) | −4.04661 | −0.145925 | −0.0729623 | − | 0.997335i | \(-0.523245\pi\) | ||||
−0.0729623 | + | 0.997335i | \(0.523245\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 6.23442 | 0.224527 | ||||||||
\(772\) | 32.9054 | + | 56.9938i | 1.18429 | + | 2.05125i | ||||
\(773\) | −3.15553 | + | 5.46553i | −0.113496 | + | 0.196581i | −0.917178 | − | 0.398478i | \(-0.869538\pi\) |
0.803681 | + | 0.595060i | \(0.202872\pi\) | |||||||
\(774\) | −0.434043 | + | 0.751785i | −0.0156014 | + | 0.0270224i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −9.03316 | −0.324272 | ||||||||
\(777\) | −20.7970 | − | 11.8928i | −0.746088 | − | 0.426653i | ||||
\(778\) | −94.6892 | −3.39477 | ||||||||
\(779\) | 3.05333 | + | 5.28852i | 0.109397 | + | 0.189481i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.68670 | − | 4.65350i | 0.0961376 | − | 0.166515i | ||||
\(782\) | 26.4886 | + | 45.8796i | 0.947230 | + | 1.64065i | ||||
\(783\) | −5.92664 | −0.211801 | ||||||||
\(784\) | 21.0783 | − | 37.2157i | 0.752798 | − | 1.32913i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −5.06512 | − | 8.77304i | −0.180667 | − | 0.312924i | ||||
\(787\) | −14.9877 | + | 25.9595i | −0.534256 | + | 0.925358i | 0.464943 | + | 0.885340i | \(0.346075\pi\) |
−0.999199 | + | 0.0400174i | \(0.987259\pi\) | |||||||
\(788\) | 51.8702 | − | 89.8419i | 1.84780 | − | 3.20048i | ||||
\(789\) | 14.0240 | + | 24.2903i | 0.499267 | + | 0.864756i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 9.28737 | + | 5.31102i | 0.330221 | + | 0.188838i | ||||
\(792\) | 5.74324 | 0.204077 | ||||||||
\(793\) | −1.68978 | − | 2.92679i | −0.0600060 | − | 0.103933i | ||||
\(794\) | 0.0724448 | − | 0.125478i | 0.00257097 | − | 0.00445305i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −30.2309 | − | 52.3615i | −1.07151 | − | 1.85590i | ||||
\(797\) | 0.676527 | 0.0239638 | 0.0119819 | − | 0.999928i | \(-0.496186\pi\) | ||||
0.0119819 | + | 0.999928i | \(0.496186\pi\) | |||||||
\(798\) | −0.0632784 | − | 15.3139i | −0.00224003 | − | 0.542107i | ||||
\(799\) | 17.5885 | 0.622236 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −8.15542 | + | 14.1256i | −0.288157 | + | 0.499103i | ||||
\(802\) | 11.4202 | − | 19.7803i | 0.403260 | − | 0.698466i | ||||
\(803\) | −2.63026 | − | 4.55574i | −0.0928198 | − | 0.160769i | ||||
\(804\) | 40.1244 | 1.41508 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 8.20600 | 0.289044 | ||||||||
\(807\) | 3.70915 | + | 6.42444i | 0.130568 | + | 0.226151i | ||||
\(808\) | 16.1942 | − | 28.0492i | 0.569711 | − | 0.986768i | ||||
\(809\) | 25.0612 | − | 43.4072i | 0.881104 | − | 1.52612i | 0.0309881 | − | 0.999520i | \(-0.490135\pi\) |
0.850115 | − | 0.526596i | \(-0.176532\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −36.4884 | −1.28128 | −0.640641 | − | 0.767841i | \(-0.721331\pi\) | ||||
−0.640641 | + | 0.767841i | \(0.721331\pi\) | |||||||
\(812\) | −58.7021 | + | 34.2159i | −2.06004 | + | 1.20074i | ||||
\(813\) | 31.2116 | 1.09464 | ||||||||
\(814\) | −11.1447 | − | 19.3032i | −0.390622 | − | 0.676578i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −12.6776 | + | 21.9583i | −0.443806 | + | 0.768695i | ||||
\(817\) | 0.396691 | + | 0.687090i | 0.0138785 | + | 0.0240382i | ||||
\(818\) | 41.8055 | 1.46170 | ||||||||
\(819\) | −0.0562992 | − | 13.6249i | −0.00196725 | − | 0.476092i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −19.3654 | − | 33.5419i | −0.675858 | − | 1.17062i | −0.976217 | − | 0.216794i | \(-0.930440\pi\) |
0.300359 | − | 0.953826i | \(-0.402893\pi\) | |||||||
\(822\) | 14.1329 | − | 24.4790i | 0.492943 | − | 0.853803i | ||||
\(823\) | −10.4906 | + | 18.1702i | −0.365679 | + | 0.633375i | −0.988885 | − | 0.148683i | \(-0.952497\pi\) |
0.623206 | + | 0.782058i | \(0.285830\pi\) | |||||||
\(824\) | −48.5034 | − | 84.0104i | −1.68970 | − | 2.92664i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 10.4998 | + | 6.00433i | 0.365333 | + | 0.208917i | ||||
\(827\) | 37.8114 | 1.31483 | 0.657416 | − | 0.753528i | \(-0.271650\pi\) | ||||
0.657416 | + | 0.753528i | \(0.271650\pi\) | |||||||
\(828\) | −10.9908 | − | 19.0367i | −0.381958 | − | 0.661570i | ||||
\(829\) | 26.6591 | − | 46.1749i | 0.925908 | − | 1.60372i | 0.135813 | − | 0.990734i | \(-0.456635\pi\) |
0.790095 | − | 0.612985i | \(-0.210031\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 6.22629 | + | 10.7843i | 0.215988 | + | 0.374102i | ||||
\(832\) | −15.8453 | −0.549336 | ||||||||
\(833\) | 29.0474 | − | 0.240057i | 1.00643 | − | 0.00831747i | ||||
\(834\) | 12.5575 | 0.434831 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 4.87423 | − | 8.44241i | 0.168579 | − | 0.291987i | ||||
\(837\) | 0.316594 | − | 0.548357i | 0.0109431 | − | 0.0189540i | ||||
\(838\) | 37.5925 | + | 65.1121i | 1.29861 | + | 2.24926i | ||||
\(839\) | 52.6452 | 1.81752 | 0.908758 | − | 0.417324i | \(-0.137032\pi\) | ||||
0.908758 | + | 0.417324i | \(0.137032\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 6.12510 | 0.211210 | ||||||||
\(842\) | 24.3102 | + | 42.1066i | 0.837786 | + | 1.45109i | ||||
\(843\) | −0.0204612 | + | 0.0354399i | −0.000704722 | + | 0.00122061i | ||||
\(844\) | −10.4498 | + | 18.0996i | −0.359696 | + | 0.623012i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −10.6663 | −0.366717 | ||||||||
\(847\) | 0.109797 | + | 26.5717i | 0.00377266 | + | 0.913015i | ||||
\(848\) | 46.6392 | 1.60160 | ||||||||
\(849\) | −5.42100 | − | 9.38944i | −0.186048 | − | 0.322245i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −22.9675 | + | 39.7809i | −0.787316 | + | 1.36367i | ||||
\(852\) | −11.9022 | − | 20.6152i | −0.407762 | − | 0.706264i | ||||
\(853\) | −5.01225 | −0.171616 | −0.0858081 | − | 0.996312i | \(-0.527347\pi\) | ||||
−0.0858081 | + | 0.996312i | \(0.527347\pi\) | |||||||
\(854\) | −3.77505 | + | 2.20037i | −0.129180 | + | 0.0752953i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 7.01129 | + | 12.1439i | 0.239641 | + | 0.415071i | ||||
\(857\) | 19.2106 | − | 33.2737i | 0.656222 | − | 1.13661i | −0.325364 | − | 0.945589i | \(-0.605487\pi\) |
0.981586 | − | 0.191021i | \(-0.0611798\pi\) | |||||||
\(858\) | 6.33822 | − | 10.9781i | 0.216383 | − | 0.374787i | ||||
\(859\) | −11.6709 | − | 20.2146i | −0.398207 | − | 0.689714i | 0.595298 | − | 0.803505i | \(-0.297034\pi\) |
−0.993505 | + | 0.113791i | \(0.963701\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 6.06893 | − | 3.53741i | 0.206828 | − | 0.120555i | ||||
\(862\) | −55.3553 | −1.88541 | ||||||||
\(863\) | 27.1879 | + | 47.0908i | 0.925486 | + | 1.60299i | 0.790778 | + | 0.612103i | \(0.209676\pi\) |
0.134707 | + | 0.990885i | \(0.456991\pi\) | |||||||
\(864\) | 1.81659 | − | 3.14643i | 0.0618018 | − | 0.107044i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 3.43144 | + | 5.94342i | 0.116605 | + | 0.201966i | ||||
\(867\) | −0.220576 | −0.00749114 | ||||||||
\(868\) | −0.0299953 | − | 7.25913i | −0.00101811 | − | 0.246391i | ||||
\(869\) | −10.6489 | −0.361239 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 23.8430 | − | 41.2972i | 0.807888 | − | 1.39930i | ||||
\(872\) | 53.1662 | − | 92.0866i | 1.80044 | − | 3.11845i | ||||
\(873\) | 0.769222 | + | 1.33233i | 0.0260342 | + | 0.0450926i | ||||
\(874\) | −29.3627 | −0.993208 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −23.3043 | −0.787378 | ||||||||
\(877\) | −14.2279 | − | 24.6434i | −0.480441 | − | 0.832148i | 0.519307 | − | 0.854587i | \(-0.326190\pi\) |
−0.999748 | + | 0.0224397i | \(0.992857\pi\) | |||||||
\(878\) | 9.49211 | − | 16.4408i | 0.320343 | − | 0.554851i | ||||
\(879\) | −14.8227 | + | 25.6737i | −0.499958 | + | 0.865953i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −6.50466 | −0.219148 | −0.109574 | − | 0.993979i | \(-0.534949\pi\) | ||||
−0.109574 | + | 0.993979i | \(0.534949\pi\) | |||||||
\(882\) | −17.6155 | + | 0.145580i | −0.593143 | + | 0.00490192i | ||||
\(883\) | −34.7640 | −1.16990 | −0.584951 | − | 0.811069i | \(-0.698886\pi\) | ||||
−0.584951 | + | 0.811069i | \(0.698886\pi\) | |||||||
\(884\) | 46.3007 | + | 80.1952i | 1.55726 | + | 2.69726i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 13.1345 | − | 22.7496i | 0.441261 | − | 0.764286i | ||||
\(887\) | 14.6770 | + | 25.4214i | 0.492807 | + | 0.853566i | 0.999966 | − | 0.00828615i | \(-0.00263759\pi\) |
−0.507159 | + | 0.861853i | \(0.669304\pi\) | |||||||
\(888\) | −53.1676 | −1.78419 | ||||||||
\(889\) | 15.7332 | + | 8.99707i | 0.527673 | + | 0.301752i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.489068 | − | 0.847090i | −0.0163844 | − | 0.0283786i | ||||
\(892\) | 34.2812 | − | 59.3768i | 1.14782 | − | 1.98808i | ||||
\(893\) | −4.87423 | + | 8.44241i | −0.163110 | + | 0.282514i | ||||
\(894\) | −18.2380 | − | 31.5891i | −0.609968 | − | 1.05650i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0.164091 | + | 39.7114i | 0.00548189 | + | 1.32666i | ||||
\(897\) | −26.1242 | −0.872260 | ||||||||
\(898\) | 2.17819 | + | 3.77274i | 0.0726872 | + | 0.125898i | ||||
\(899\) | −1.87634 | + | 3.24992i | −0.0625795 | + | 0.108391i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 15.8380 | + | 27.4322i | 0.527640 | + | 0.913899i | ||||
\(902\) | 6.53556 | 0.217610 | ||||||||
\(903\) | 0.788480 | − | 0.459584i | 0.0262390 | − | 0.0152940i | ||||
\(904\) | 23.7432 | 0.789688 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 9.92404 | − | 17.1889i | 0.329704 | − | 0.571064i | ||||
\(907\) | 18.1436 | − | 31.4256i | 0.602447 | − | 1.04347i | −0.390002 | − | 0.920814i | \(-0.627526\pi\) |
0.992449 | − | 0.122655i | \(-0.0391410\pi\) | |||||||
\(908\) | −47.0113 | − | 81.4259i | −1.56012 | − | 2.70221i | ||||
\(909\) | −5.51610 | −0.182958 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 51.6732 | 1.71201 | 0.856004 | − | 0.516968i | \(-0.172940\pi\) | ||||
0.856004 | + | 0.516968i | \(0.172940\pi\) | |||||||
\(912\) | −7.02660 | − | 12.1704i | −0.232674 | − | 0.403003i | ||||
\(913\) | −3.24087 | + | 5.61335i | −0.107257 | + | 0.185775i | ||||
\(914\) | −38.8326 | + | 67.2601i | −1.28447 | + | 2.22477i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −8.99952 | −0.297353 | ||||||||
\(917\) | 0.0440071 | + | 10.6501i | 0.00145324 | + | 0.351698i | ||||
\(918\) | 10.4432 | 0.344678 | ||||||||
\(919\) | 20.5188 | + | 35.5397i | 0.676854 | + | 1.17235i | 0.975923 | + | 0.218114i | \(0.0699905\pi\) |
−0.299069 | + | 0.954231i | \(0.596676\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −15.8027 | + | 27.3712i | −0.520718 | + | 0.901910i | ||||
\(922\) | −13.5007 | − | 23.3839i | −0.444621 | − | 0.770107i | ||||
\(923\) | −28.2903 | −0.931187 | ||||||||
\(924\) | −9.73455 | − | 5.56674i | −0.320243 | − | 0.183132i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −13.9746 | − | 24.2047i | −0.459234 | − | 0.795417i | ||||
\(927\) | −8.26066 | + | 14.3079i | −0.271316 | + | 0.469932i | ||||
\(928\) | −10.7663 | + | 18.6478i | −0.353421 | + | 0.612144i | ||||
\(929\) | 1.49260 | + | 2.58526i | 0.0489706 | + | 0.0848196i | 0.889472 | − | 0.456990i | \(-0.151073\pi\) |
−0.840501 | + | 0.541810i | \(0.817739\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −7.93455 | + | 14.0091i | −0.260044 | + | 0.459131i | ||||
\(932\) | 29.2880 | 0.959361 | ||||||||
\(933\) | 11.0851 | + | 19.2000i | 0.362911 | + | 0.628581i | ||||
\(934\) | −34.7155 | + | 60.1291i | −1.13593 | + | 1.96748i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −15.1187 | − | 26.1864i | −0.494171 | − | 0.855930i | ||||
\(937\) | −26.1169 | −0.853201 | −0.426601 | − | 0.904440i | \(-0.640289\pi\) | ||||
−0.426601 | + | 0.904440i | \(0.640289\pi\) | |||||||
\(938\) | −53.5210 | − | 30.6062i | −1.74752 | − | 0.999327i | ||||
\(939\) | 6.88572 | 0.224707 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −5.10580 | + | 8.84351i | −0.166444 | + | 0.288290i | −0.937167 | − | 0.348880i | \(-0.886562\pi\) |
0.770723 | + | 0.637171i | \(0.219895\pi\) | |||||||
\(942\) | 8.24973 | − | 14.2889i | 0.268791 | − | 0.465559i | ||||
\(943\) | −6.73438 | − | 11.6643i | −0.219302 | − | 0.379842i | ||||
\(944\) | 11.0995 | 0.361257 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.849106 | 0.0276068 | ||||||||
\(947\) | 23.2722 | + | 40.3086i | 0.756245 | + | 1.30985i | 0.944753 | + | 0.327783i | \(0.106301\pi\) |
−0.188509 | + | 0.982072i | \(0.560365\pi\) | |||||||
\(948\) | −23.5875 | + | 40.8547i | −0.766085 | + | 1.32690i | ||||
\(949\) | −13.8480 | + | 23.9854i | −0.449525 | + | 0.778600i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 12.8387 | 0.416324 | ||||||||
\(952\) | 55.6955 | − | 32.4634i | 1.80510 | − | 1.05215i | ||||
\(953\) | −30.6348 | −0.992358 | −0.496179 | − | 0.868220i | \(-0.665264\pi\) | ||||
−0.496179 | + | 0.868220i | \(0.665264\pi\) | |||||||
\(954\) | −9.60476 | − | 16.6359i | −0.310966 | − | 0.538608i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 6.29345 | − | 10.9006i | 0.203545 | − | 0.352550i | ||||
\(957\) | 2.89853 | + | 5.02040i | 0.0936961 | + | 0.162286i | ||||
\(958\) | −25.2095 | −0.814483 | ||||||||
\(959\) | −25.6738 | + | 14.9646i | −0.829051 | + | 0.483232i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.2995 | + | 26.4996i | 0.493533 | + | 0.854825i | ||||
\(962\) | −58.6757 | + | 101.629i | −1.89178 | + | 3.27666i | ||||
\(963\) | 1.19410 | − | 2.06824i | 0.0384793 | − | 0.0666481i | ||||
\(964\) | 19.2772 | + | 33.3891i | 0.620877 | + | 1.07539i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0.139566 | + | 33.7762i | 0.00449046 | + | 1.08673i | ||||
\(967\) | −57.4401 | −1.84715 | −0.923575 | − | 0.383419i | \(-0.874747\pi\) | ||||
−0.923575 | + | 0.383419i | \(0.874747\pi\) | |||||||
\(968\) | 29.4851 | + | 51.0696i | 0.947686 | + | 1.64144i | ||||
\(969\) | 4.77226 | − | 8.26580i | 0.153307 | − | 0.265536i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −24.0908 | − | 41.7265i | −0.773110 | − | 1.33907i | −0.935850 | − | 0.352397i | \(-0.885367\pi\) |
0.162740 | − | 0.986669i | \(-0.447967\pi\) | |||||||
\(972\) | −4.33317 | −0.138987 | ||||||||
\(973\) | −11.4605 | − | 6.55373i | −0.367407 | − | 0.210103i | ||||
\(974\) | −77.3449 | −2.47829 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.00488 | + | 3.47255i | −0.0641746 | + | 0.111154i | ||||
\(977\) | −6.87617 | + | 11.9099i | −0.219988 | + | 0.381031i | −0.954804 | − | 0.297236i | \(-0.903935\pi\) |
0.734816 | + | 0.678267i | \(0.237269\pi\) | |||||||
\(978\) | −15.4214 | − | 26.7106i | −0.493121 | − | 0.854110i | ||||
\(979\) | 15.9542 | 0.509898 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −18.1096 | −0.578194 | ||||||||
\(982\) | −5.21001 | − | 9.02399i | −0.166258 | − | 0.287967i | ||||
\(983\) | −19.0972 | + | 33.0773i | −0.609106 | + | 1.05500i | 0.382282 | + | 0.924046i | \(0.375138\pi\) |
−0.991388 | + | 0.130957i | \(0.958195\pi\) | |||||||
\(984\) | 7.79473 | − | 13.5009i | 0.248487 | − | 0.430392i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −61.8933 | −1.97108 | ||||||||
\(987\) | 9.73455 | + | 5.56674i | 0.309854 | + | 0.177191i | ||||
\(988\) | −51.3245 | −1.63285 | ||||||||
\(989\) | −0.874937 | − | 1.51544i | −0.0278214 | − | 0.0481880i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −19.7600 | + | 34.2253i | −0.627697 | + | 1.08720i | 0.360316 | + | 0.932830i | \(0.382669\pi\) |
−0.988013 | + | 0.154372i | \(0.950665\pi\) | |||||||
\(992\) | −1.15025 | − | 1.99228i | −0.0365204 | − | 0.0632551i | ||||
\(993\) | 8.53357 | 0.270805 | ||||||||
\(994\) | 0.151139 | + | 36.5768i | 0.00479382 | + | 1.16015i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 14.3572 | + | 24.8673i | 0.454924 | + | 0.787952i | ||||
\(997\) | 5.76448 | − | 9.98438i | 0.182563 | − | 0.316208i | −0.760190 | − | 0.649701i | \(-0.774894\pi\) |
0.942753 | + | 0.333493i | \(0.108227\pi\) | |||||||
\(998\) | 1.94818 | − | 3.37435i | 0.0616687 | − | 0.106813i | ||||
\(999\) | 4.52751 | + | 7.84188i | 0.143244 | + | 0.248106i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))