Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(20,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([30, 36, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.20");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bv (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(832\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 20.10 | ||
Character | \(\chi\) | \(=\) | 429.20 |
Dual form | 429.2.bv.a.236.10 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{3}{5}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.99540 | − | 0.104575i | −1.41096 | − | 0.0739454i | −0.668440 | − | 0.743766i | \(-0.733038\pi\) |
−0.742523 | + | 0.669821i | \(0.766371\pi\) | |||||||
\(3\) | 1.06644 | + | 1.36481i | 0.615708 | + | 0.787974i | ||||
\(4\) | 1.98165 | + | 0.208280i | 0.990825 | + | 0.104140i | ||||
\(5\) | −2.39161 | − | 1.21859i | −1.06956 | − | 0.544969i | −0.171657 | − | 0.985157i | \(-0.554912\pi\) |
−0.897906 | + | 0.440188i | \(0.854912\pi\) | |||||||
\(6\) | −1.98525 | − | 2.83487i | −0.810474 | − | 1.15733i | ||||
\(7\) | −0.280750 | − | 0.346697i | −0.106114 | − | 0.131039i | 0.721322 | − | 0.692600i | \(-0.243535\pi\) |
−0.827436 | + | 0.561560i | \(0.810201\pi\) | |||||||
\(8\) | 0.0146712 | + | 0.00232369i | 0.00518705 | + | 0.000821548i | ||||
\(9\) | −0.725421 | + | 2.91097i | −0.241807 | + | 0.970324i | ||||
\(10\) | 4.64480 | + | 2.68168i | 1.46881 | + | 0.848020i | ||||
\(11\) | −2.03583 | − | 2.61828i | −0.613827 | − | 0.789440i | ||||
\(12\) | 1.82904 | + | 2.92670i | 0.528000 | + | 0.844865i | ||||
\(13\) | 3.56305 | + | 0.551950i | 0.988213 | + | 0.153083i | ||||
\(14\) | 0.523954 | + | 0.721160i | 0.140032 | + | 0.192738i | ||||
\(15\) | −0.887364 | − | 4.56365i | −0.229116 | − | 1.17833i | ||||
\(16\) | −3.92708 | − | 0.834726i | −0.981770 | − | 0.208682i | ||||
\(17\) | 0.551154 | − | 0.612119i | 0.133675 | − | 0.148461i | −0.672591 | − | 0.740014i | \(-0.734819\pi\) |
0.806265 | + | 0.591554i | \(0.201485\pi\) | |||||||
\(18\) | 1.75192 | − | 5.73270i | 0.412932 | − | 1.35121i | ||||
\(19\) | −1.63336 | − | 4.25506i | −0.374719 | − | 0.976177i | −0.983187 | − | 0.182599i | \(-0.941549\pi\) |
0.608468 | − | 0.793578i | \(-0.291784\pi\) | |||||||
\(20\) | −4.48554 | − | 2.91294i | −1.00300 | − | 0.651354i | ||||
\(21\) | 0.173774 | − | 0.752902i | 0.0379206 | − | 0.164297i | ||||
\(22\) | 3.78850 | + | 5.43741i | 0.807712 | + | 1.15926i | ||||
\(23\) | 4.15235 | − | 7.19209i | 0.865825 | − | 1.49965i | −0.000399713 | − | 1.00000i | \(-0.500127\pi\) |
0.866225 | − | 0.499654i | \(-0.166539\pi\) | |||||||
\(24\) | 0.0124745 | + | 0.0225015i | 0.00254635 | + | 0.00459310i | ||||
\(25\) | 1.29594 | + | 1.78370i | 0.259187 | + | 0.356740i | ||||
\(26\) | −7.05201 | − | 1.47397i | −1.38301 | − | 0.289069i | ||||
\(27\) | −4.74655 | + | 2.11431i | −0.913473 | + | 0.406899i | ||||
\(28\) | −0.484138 | − | 0.745508i | −0.0914936 | − | 0.140888i | ||||
\(29\) | 2.65777 | + | 5.96945i | 0.493536 | + | 1.10850i | 0.972972 | + | 0.230923i | \(0.0741744\pi\) |
−0.479437 | + | 0.877577i | \(0.659159\pi\) | |||||||
\(30\) | 1.29341 | + | 9.19912i | 0.236143 | + | 1.67952i | ||||
\(31\) | 4.57729 | − | 2.33224i | 0.822105 | − | 0.418883i | 0.00826031 | − | 0.999966i | \(-0.497371\pi\) |
0.813845 | + | 0.581082i | \(0.197371\pi\) | |||||||
\(32\) | 7.72012 | + | 2.06860i | 1.36474 | + | 0.365680i | ||||
\(33\) | 1.40236 | − | 5.57076i | 0.244120 | − | 0.969745i | ||||
\(34\) | −1.16379 | + | 1.16379i | −0.199588 | + | 0.199588i | ||||
\(35\) | 0.248964 | + | 1.17129i | 0.0420827 | + | 0.197983i | ||||
\(36\) | −2.04383 | + | 5.61744i | −0.340638 | + | 0.936240i | ||||
\(37\) | 1.78250 | − | 4.64358i | 0.293042 | − | 0.763400i | −0.705464 | − | 0.708746i | \(-0.749261\pi\) |
0.998505 | − | 0.0546538i | \(-0.0174055\pi\) | |||||||
\(38\) | 2.81425 | + | 8.66136i | 0.456531 | + | 1.40506i | ||||
\(39\) | 3.04647 | + | 5.45152i | 0.487825 | + | 0.872941i | ||||
\(40\) | −0.0322562 | − | 0.0234355i | −0.00510016 | − | 0.00370548i | ||||
\(41\) | 3.57022 | + | 2.89111i | 0.557575 | + | 0.451516i | 0.866221 | − | 0.499662i | \(-0.166542\pi\) |
−0.308645 | + | 0.951177i | \(0.599876\pi\) | |||||||
\(42\) | −0.425484 | + | 1.48417i | −0.0656536 | + | 0.229012i | ||||
\(43\) | 7.29386 | − | 4.21111i | 1.11230 | − | 0.642188i | 0.172878 | − | 0.984943i | \(-0.444693\pi\) |
0.939425 | + | 0.342755i | \(0.111360\pi\) | |||||||
\(44\) | −3.48898 | − | 5.61253i | −0.525983 | − | 0.846121i | ||||
\(45\) | 5.28221 | − | 6.07794i | 0.787425 | − | 0.906045i | ||||
\(46\) | −9.03772 | + | 13.9169i | −1.33254 | + | 2.05193i | ||||
\(47\) | −5.83595 | − | 0.924323i | −0.851260 | − | 0.134826i | −0.284466 | − | 0.958686i | \(-0.591816\pi\) |
−0.566794 | + | 0.823860i | \(0.691816\pi\) | |||||||
\(48\) | −3.04874 | − | 6.24991i | −0.440048 | − | 0.902096i | ||||
\(49\) | 1.41400 | − | 6.65236i | 0.202000 | − | 0.950338i | ||||
\(50\) | −2.39938 | − | 3.69472i | −0.339324 | − | 0.522513i | ||||
\(51\) | 1.42320 | + | 0.0994351i | 0.199288 | + | 0.0139237i | ||||
\(52\) | 6.94577 | + | 1.83588i | 0.963205 | + | 0.254591i | ||||
\(53\) | −7.27331 | − | 2.36324i | −0.999066 | − | 0.324616i | −0.236574 | − | 0.971614i | \(-0.576025\pi\) |
−0.762492 | + | 0.646997i | \(0.776025\pi\) | |||||||
\(54\) | 9.69237 | − | 3.72253i | 1.31896 | − | 0.506572i | ||||
\(55\) | 1.67833 | + | 8.74275i | 0.226306 | + | 1.17887i | ||||
\(56\) | −0.00331332 | − | 0.00573884i | −0.000442761 | − | 0.000766885i | ||||
\(57\) | 4.06547 | − | 6.76699i | 0.538485 | − | 0.896310i | ||||
\(58\) | −4.67907 | − | 12.1894i | −0.614392 | − | 1.60055i | ||||
\(59\) | 11.4235 | − | 9.25061i | 1.48722 | − | 1.20433i | 0.560733 | − | 0.827996i | \(-0.310519\pi\) |
0.926486 | − | 0.376330i | \(-0.122814\pi\) | |||||||
\(60\) | −0.807929 | − | 9.22838i | −0.104303 | − | 1.19138i | ||||
\(61\) | 4.79430 | − | 5.32460i | 0.613847 | − | 0.681746i | −0.353433 | − | 0.935460i | \(-0.614986\pi\) |
0.967279 | + | 0.253714i | \(0.0816523\pi\) | |||||||
\(62\) | −9.37742 | + | 4.17510i | −1.19093 | + | 0.530238i | ||||
\(63\) | 1.21289 | − | 0.565754i | 0.152810 | − | 0.0712783i | ||||
\(64\) | −7.55179 | − | 2.45372i | −0.943973 | − | 0.306716i | ||||
\(65\) | −7.84885 | − | 5.66195i | −0.973530 | − | 0.702278i | ||||
\(66\) | −3.38084 | + | 10.9693i | −0.416153 | + | 1.35022i | ||||
\(67\) | −3.11297 | + | 0.834117i | −0.380309 | + | 0.101904i | −0.443909 | − | 0.896072i | \(-0.646409\pi\) |
0.0635996 | + | 0.997975i | \(0.479742\pi\) | |||||||
\(68\) | 1.21969 | − | 1.09821i | 0.147909 | − | 0.133178i | ||||
\(69\) | 14.2441 | − | 2.00273i | 1.71478 | − | 0.241101i | ||||
\(70\) | −0.374297 | − | 2.36322i | −0.0447371 | − | 0.282459i | ||||
\(71\) | 0.256322 | + | 4.89091i | 0.0304198 | + | 0.580445i | 0.970737 | + | 0.240145i | \(0.0771951\pi\) |
−0.940317 | + | 0.340299i | \(0.889472\pi\) | |||||||
\(72\) | −0.0174070 | + | 0.0410218i | −0.00205143 | + | 0.00483447i | ||||
\(73\) | −7.96795 | + | 1.26200i | −0.932578 | + | 0.147706i | −0.604193 | − | 0.796838i | \(-0.706504\pi\) |
−0.328385 | + | 0.944544i | \(0.606504\pi\) | |||||||
\(74\) | −4.04241 | + | 9.07941i | −0.469921 | + | 1.05546i | ||||
\(75\) | −1.05238 | + | 3.67091i | −0.121519 | + | 0.423881i | ||||
\(76\) | −2.35051 | − | 8.77224i | −0.269622 | − | 1.00624i | ||||
\(77\) | −0.336190 | + | 1.44090i | −0.0383124 | + | 0.164206i | ||||
\(78\) | −5.50884 | − | 11.1966i | −0.623753 | − | 1.26776i | ||||
\(79\) | −0.755592 | + | 2.32547i | −0.0850108 | + | 0.261636i | −0.984522 | − | 0.175262i | \(-0.943923\pi\) |
0.899511 | + | 0.436898i | \(0.143923\pi\) | |||||||
\(80\) | 8.37487 | + | 6.78184i | 0.936339 | + | 0.758232i | ||||
\(81\) | −7.94753 | − | 4.22336i | −0.883059 | − | 0.469263i | ||||
\(82\) | −6.82170 | − | 6.14228i | −0.753330 | − | 0.678302i | ||||
\(83\) | 8.74621 | + | 4.45642i | 0.960021 | + | 0.489155i | 0.862488 | − | 0.506077i | \(-0.168905\pi\) |
0.0975330 | + | 0.995232i | \(0.468905\pi\) | |||||||
\(84\) | 0.501174 | − | 1.45580i | 0.0546826 | − | 0.158840i | ||||
\(85\) | −2.06407 | + | 0.792322i | −0.223880 | + | 0.0859394i | ||||
\(86\) | −14.9946 | + | 7.64011i | −1.61690 | + | 0.823854i | ||||
\(87\) | −5.31283 | + | 9.99340i | −0.569595 | + | 1.07141i | ||||
\(88\) | −0.0237841 | − | 0.0431439i | −0.00253539 | − | 0.00459916i | ||||
\(89\) | −8.18563 | + | 2.19333i | −0.867675 | + | 0.232493i | −0.665082 | − | 0.746770i | \(-0.731603\pi\) |
−0.202593 | + | 0.979263i | \(0.564937\pi\) | |||||||
\(90\) | −11.1757 | + | 11.5755i | −1.17802 | + | 1.22017i | ||||
\(91\) | −0.808968 | − | 1.39026i | −0.0848029 | − | 0.145739i | ||||
\(92\) | 9.72648 | − | 13.3874i | 1.01406 | − | 1.39573i | ||||
\(93\) | 8.06447 | + | 3.75994i | 0.836246 | + | 0.389888i | ||||
\(94\) | 11.5484 | + | 2.45469i | 1.19113 | + | 0.253182i | ||||
\(95\) | −1.27879 | + | 12.1669i | −0.131201 | + | 1.24829i | ||||
\(96\) | 5.40978 | + | 12.7425i | 0.552133 | + | 1.30053i | ||||
\(97\) | −12.5445 | − | 8.14648i | −1.27370 | − | 0.827150i | −0.282466 | − | 0.959277i | \(-0.591152\pi\) |
−0.991233 | + | 0.132128i | \(0.957819\pi\) | |||||||
\(98\) | −3.51717 | + | 13.1263i | −0.355288 | + | 1.32595i | ||||
\(99\) | 9.09857 | − | 4.02691i | 0.914441 | − | 0.404719i | ||||
\(100\) | 2.19658 | + | 3.80459i | 0.219658 | + | 0.380459i | ||||
\(101\) | −0.807796 | − | 0.897149i | −0.0803787 | − | 0.0892696i | 0.701614 | − | 0.712557i | \(-0.252463\pi\) |
−0.781993 | + | 0.623288i | \(0.785797\pi\) | |||||||
\(102\) | −2.82946 | − | 0.347243i | −0.280158 | − | 0.0343822i | ||||
\(103\) | −8.91242 | + | 12.2669i | −0.878167 | + | 1.20869i | 0.0987588 | + | 0.995111i | \(0.468513\pi\) |
−0.976925 | + | 0.213581i | \(0.931487\pi\) | |||||||
\(104\) | 0.0509917 | + | 0.0163772i | 0.00500015 | + | 0.00160592i | ||||
\(105\) | −1.33308 | + | 1.58889i | −0.130095 | + | 0.155060i | ||||
\(106\) | 14.2660 | + | 5.47622i | 1.38564 | + | 0.531898i | ||||
\(107\) | −1.01530 | + | 0.106712i | −0.0981525 | + | 0.0103162i | −0.153477 | − | 0.988152i | \(-0.549047\pi\) |
0.0553249 | + | 0.998468i | \(0.482381\pi\) | |||||||
\(108\) | −9.84636 | + | 3.20121i | −0.947467 | + | 0.308037i | ||||
\(109\) | 0.0313750 | + | 0.0313750i | 0.00300518 | + | 0.00300518i | 0.708608 | − | 0.705603i | \(-0.249324\pi\) |
−0.705603 | + | 0.708608i | \(0.749324\pi\) | |||||||
\(110\) | −2.43467 | − | 17.6208i | −0.232137 | − | 1.68008i | ||||
\(111\) | 8.23854 | − | 2.51931i | 0.781968 | − | 0.239122i | ||||
\(112\) | 0.813130 | + | 1.59586i | 0.0768336 | + | 0.150794i | ||||
\(113\) | 4.08785 | − | 9.18146i | 0.384552 | − | 0.863719i | −0.612747 | − | 0.790279i | \(-0.709936\pi\) |
0.997300 | − | 0.0734399i | \(-0.0233977\pi\) | |||||||
\(114\) | −8.81991 | + | 13.0777i | −0.826060 | + | 1.22484i | ||||
\(115\) | −18.6950 | + | 12.1407i | −1.74332 | + | 1.13213i | ||||
\(116\) | 4.02346 | + | 12.3829i | 0.373569 | + | 1.14973i | ||||
\(117\) | −4.19143 | + | 9.97156i | −0.387497 | + | 0.921871i | ||||
\(118\) | −23.7619 | + | 17.2641i | −2.18746 | + | 1.58929i | ||||
\(119\) | −0.366957 | − | 0.0192314i | −0.0336389 | − | 0.00176294i | ||||
\(120\) | −0.00241419 | − | 0.0690162i | −0.000220384 | − | 0.00630029i | ||||
\(121\) | −2.71076 | + | 10.6608i | −0.246432 | + | 0.969160i | ||||
\(122\) | −10.1234 | + | 10.1234i | −0.916526 | + | 0.916526i | ||||
\(123\) | −0.138399 | + | 7.95587i | −0.0124790 | + | 0.717357i | ||||
\(124\) | 9.55634 | − | 3.66834i | 0.858185 | − | 0.329426i | ||||
\(125\) | 1.17371 | + | 7.41049i | 0.104979 | + | 0.662814i | ||||
\(126\) | −2.47936 | + | 1.00207i | −0.220879 | + | 0.0892715i | ||||
\(127\) | 0.170711 | − | 0.803134i | 0.0151482 | − | 0.0712666i | −0.969924 | − | 0.243407i | \(-0.921735\pi\) |
0.985072 | + | 0.172140i | \(0.0550683\pi\) | |||||||
\(128\) | −0.110939 | − | 0.0425855i | −0.00980571 | − | 0.00376406i | ||||
\(129\) | 13.5258 | + | 5.46385i | 1.19088 | + | 0.481066i | ||||
\(130\) | 15.0695 | + | 12.1187i | 1.32168 | + | 1.06288i | ||||
\(131\) | − | 2.71318i | − | 0.237052i | −0.992951 | − | 0.118526i | \(-0.962183\pi\) | ||
0.992951 | − | 0.118526i | \(-0.0378168\pi\) | |||||||
\(132\) | 3.93927 | − | 10.7472i | 0.342870 | − | 0.935425i | ||||
\(133\) | −1.01665 | + | 1.76089i | −0.0881548 | + | 0.152689i | ||||
\(134\) | 6.29885 | − | 1.33886i | 0.544137 | − | 0.115660i | ||||
\(135\) | 13.9284 | + | 0.727476i | 1.19876 | + | 0.0626111i | ||||
\(136\) | 0.00950846 | − | 0.00769980i | 0.000815344 | − | 0.000660253i | ||||
\(137\) | −10.3500 | + | 0.542420i | −0.884260 | + | 0.0463421i | −0.489057 | − | 0.872252i | \(-0.662659\pi\) |
−0.395203 | + | 0.918594i | \(0.629326\pi\) | |||||||
\(138\) | −28.6321 | + | 2.50669i | −2.43732 | + | 0.213384i | ||||
\(139\) | 0.183769 | − | 1.74844i | 0.0155871 | − | 0.148301i | −0.983960 | − | 0.178388i | \(-0.942912\pi\) |
0.999547 | + | 0.0300870i | \(0.00957843\pi\) | |||||||
\(140\) | 0.249405 | + | 2.37293i | 0.0210786 | + | 0.200549i | ||||
\(141\) | −4.96215 | − | 8.95070i | −0.417888 | − | 0.753785i | ||||
\(142\) | − | 9.78615i | − | 0.821235i | ||||||
\(143\) | −5.80863 | − | 10.4527i | −0.485742 | − | 0.874102i | ||||
\(144\) | 5.27865 | − | 10.8261i | 0.439888 | − | 0.902174i | ||||
\(145\) | 0.917941 | − | 17.5154i | 0.0762308 | − | 1.45457i | ||||
\(146\) | 16.0312 | − | 1.68495i | 1.32675 | − | 0.139448i | ||||
\(147\) | 10.5872 | − | 5.16448i | 0.873215 | − | 0.425959i | ||||
\(148\) | 4.49946 | − | 8.83069i | 0.369854 | − | 0.725879i | ||||
\(149\) | −0.712890 | − | 13.6028i | −0.0584022 | − | 1.11438i | −0.857935 | − | 0.513758i | \(-0.828253\pi\) |
0.799533 | − | 0.600622i | \(-0.205081\pi\) | |||||||
\(150\) | 2.48381 | − | 7.21490i | 0.202802 | − | 0.589094i | ||||
\(151\) | −2.95558 | + | 18.6608i | −0.240522 | + | 1.51859i | 0.511400 | + | 0.859343i | \(0.329127\pi\) |
−0.751922 | + | 0.659252i | \(0.770873\pi\) | |||||||
\(152\) | −0.0140760 | − | 0.0662222i | −0.00114171 | − | 0.00537133i | ||||
\(153\) | 1.38204 | + | 2.04844i | 0.111732 | + | 0.165606i | ||||
\(154\) | 0.821515 | − | 2.84002i | 0.0661996 | − | 0.228855i | ||||
\(155\) | −13.7892 | −1.10757 | ||||||||
\(156\) | 4.90159 | + | 11.4375i | 0.392441 | + | 0.915734i | ||||
\(157\) | −7.64239 | + | 5.55252i | −0.609929 | + | 0.443139i | −0.849389 | − | 0.527767i | \(-0.823029\pi\) |
0.239460 | + | 0.970906i | \(0.423029\pi\) | |||||||
\(158\) | 1.75090 | − | 4.56124i | 0.139294 | − | 0.362873i | ||||
\(159\) | −4.53115 | − | 12.4470i | −0.359344 | − | 0.987107i | ||||
\(160\) | −15.9428 | − | 14.3549i | −1.26039 | − | 1.13486i | ||||
\(161\) | −3.65925 | + | 0.579568i | −0.288389 | + | 0.0456764i | ||||
\(162\) | 15.4169 | + | 9.25842i | 1.21126 | + | 0.727410i | ||||
\(163\) | −4.21379 | + | 6.48867i | −0.330049 | + | 0.508232i | −0.964270 | − | 0.264920i | \(-0.914654\pi\) |
0.634221 | + | 0.773152i | \(0.281321\pi\) | |||||||
\(164\) | 6.47278 | + | 6.47278i | 0.505439 | + | 0.505439i | ||||
\(165\) | −10.1424 | + | 11.6142i | −0.789583 | + | 0.904165i | ||||
\(166\) | −16.9862 | − | 9.80697i | −1.31838 | − | 0.761169i | ||||
\(167\) | 0.821019 | − | 15.6660i | 0.0635324 | − | 1.21227i | −0.761872 | − | 0.647728i | \(-0.775719\pi\) |
0.825404 | − | 0.564542i | \(-0.190947\pi\) | |||||||
\(168\) | 0.00429899 | − | 0.0106422i | 0.000331674 | − | 0.000821062i | ||||
\(169\) | 12.3907 | + | 3.93326i | 0.953131 | + | 0.302558i | ||||
\(170\) | 4.20151 | − | 1.36515i | 0.322241 | − | 0.104702i | ||||
\(171\) | 13.5712 | − | 1.66797i | 1.03782 | − | 0.127553i | ||||
\(172\) | 15.3310 | − | 6.82579i | 1.16898 | − | 0.520461i | ||||
\(173\) | −5.51980 | − | 2.45758i | −0.419663 | − | 0.186846i | 0.186031 | − | 0.982544i | \(-0.440438\pi\) |
−0.605694 | + | 0.795698i | \(0.707104\pi\) | |||||||
\(174\) | 11.6463 | − | 19.3853i | 0.882903 | − | 1.46959i | ||||
\(175\) | 0.254571 | − | 0.950072i | 0.0192438 | − | 0.0718187i | ||||
\(176\) | 5.80934 | + | 11.9815i | 0.437895 | + | 0.903143i | ||||
\(177\) | 24.8078 | + | 5.72579i | 1.86467 | + | 0.430377i | ||||
\(178\) | 16.5630 | − | 3.52057i | 1.24145 | − | 0.263878i | ||||
\(179\) | −1.42247 | − | 13.5339i | −0.106321 | − | 1.01157i | −0.909463 | − | 0.415786i | \(-0.863507\pi\) |
0.803142 | − | 0.595788i | \(-0.203160\pi\) | |||||||
\(180\) | 11.7334 | − | 10.9442i | 0.874556 | − | 0.815730i | ||||
\(181\) | −11.8427 | + | 3.84793i | −0.880261 | + | 0.286014i | −0.714066 | − | 0.700079i | \(-0.753148\pi\) |
−0.166195 | + | 0.986093i | \(0.553148\pi\) | |||||||
\(182\) | 1.46883 | + | 2.85873i | 0.108877 | + | 0.211903i | ||||
\(183\) | 12.3799 | + | 0.864951i | 0.915148 | + | 0.0639390i | ||||
\(184\) | 0.0776321 | − | 0.0958677i | 0.00572312 | − | 0.00706746i | ||||
\(185\) | −9.92167 | + | 8.93352i | −0.729456 | + | 0.656805i | ||||
\(186\) | −15.6987 | − | 8.34593i | −1.15108 | − | 0.611953i | ||||
\(187\) | −2.72476 | − | 0.196902i | −0.199254 | − | 0.0143989i | ||||
\(188\) | −11.3723 | − | 3.04720i | −0.829409 | − | 0.222240i | ||||
\(189\) | 2.06562 | + | 1.05202i | 0.150252 | + | 0.0765234i | ||||
\(190\) | 3.82404 | − | 24.1440i | 0.277425 | − | 1.75159i | ||||
\(191\) | 13.7573 | + | 1.44595i | 0.995444 | + | 0.104625i | 0.588218 | − | 0.808702i | \(-0.299830\pi\) |
0.407226 | + | 0.913328i | \(0.366496\pi\) | |||||||
\(192\) | −4.70464 | − | 12.9235i | −0.339528 | − | 0.932674i | ||||
\(193\) | 20.9415 | − | 13.5996i | 1.50740 | − | 0.978918i | 0.514826 | − | 0.857295i | \(-0.327857\pi\) |
0.992576 | − | 0.121623i | \(-0.0388100\pi\) | |||||||
\(194\) | 24.1794 | + | 17.5673i | 1.73598 | + | 1.26126i | ||||
\(195\) | −0.642819 | − | 16.7503i | −0.0460332 | − | 1.19952i | ||||
\(196\) | 4.18761 | − | 12.8881i | 0.299115 | − | 0.920582i | ||||
\(197\) | 0.115816 | + | 0.432230i | 0.00825153 | + | 0.0307951i | 0.969929 | − | 0.243389i | \(-0.0782590\pi\) |
−0.961677 | + | 0.274184i | \(0.911592\pi\) | |||||||
\(198\) | −18.5764 | + | 7.08382i | −1.32017 | + | 0.503425i | ||||
\(199\) | 14.8850 | − | 8.59388i | 1.05517 | − | 0.609204i | 0.131079 | − | 0.991372i | \(-0.458156\pi\) |
0.924093 | + | 0.382168i | \(0.124823\pi\) | |||||||
\(200\) | 0.0148681 | + | 0.0291804i | 0.00105134 | + | 0.00206336i | ||||
\(201\) | −4.45820 | − | 3.35908i | −0.314457 | − | 0.236931i | ||||
\(202\) | 1.51806 | + | 1.87465i | 0.106810 | + | 0.131900i | ||||
\(203\) | 1.32342 | − | 2.59737i | 0.0928861 | − | 0.182299i | ||||
\(204\) | 2.79957 | + | 0.493469i | 0.196009 | + | 0.0345498i | ||||
\(205\) | −5.01552 | − | 11.2651i | −0.350299 | − | 0.786785i | ||||
\(206\) | 19.0667 | − | 23.5454i | 1.32844 | − | 1.64048i | ||||
\(207\) | 17.9238 | + | 17.3047i | 1.24579 | + | 1.20276i | ||||
\(208\) | −13.5317 | − | 5.14173i | −0.938252 | − | 0.356515i | ||||
\(209\) | −7.81567 | + | 12.9392i | −0.540621 | + | 0.895023i | ||||
\(210\) | 2.82619 | − | 3.03107i | 0.195025 | − | 0.209164i | ||||
\(211\) | 0.723115 | + | 0.803101i | 0.0497813 | + | 0.0552877i | 0.767521 | − | 0.641024i | \(-0.221490\pi\) |
−0.717740 | + | 0.696311i | \(0.754823\pi\) | |||||||
\(212\) | −13.9209 | − | 6.19800i | −0.956095 | − | 0.425681i | ||||
\(213\) | −6.40183 | + | 5.56569i | −0.438646 | + | 0.381355i | ||||
\(214\) | 2.03709 | − | 0.106759i | 0.139252 | − | 0.00729791i | ||||
\(215\) | −22.5757 | + | 1.18314i | −1.53965 | + | 0.0806897i | ||||
\(216\) | −0.0745505 | + | 0.0199899i | −0.00507252 | + | 0.00136014i | ||||
\(217\) | −2.09366 | − | 0.932156i | −0.142127 | − | 0.0632789i | ||||
\(218\) | −0.0593247 | − | 0.0658867i | −0.00401797 | − | 0.00446241i | ||||
\(219\) | −10.2197 | − | 9.52891i | −0.690584 | − | 0.643904i | ||||
\(220\) | 1.50492 | + | 17.6746i | 0.101462 | + | 1.19162i | ||||
\(221\) | 2.30165 | − | 1.87680i | 0.154826 | − | 0.126247i | ||||
\(222\) | −16.7027 | + | 4.16549i | −1.12101 | + | 0.279569i | ||||
\(223\) | −4.48671 | + | 5.54062i | −0.300452 | + | 0.371028i | −0.904905 | − | 0.425613i | \(-0.860058\pi\) |
0.604453 | + | 0.796641i | \(0.293392\pi\) | |||||||
\(224\) | −1.45025 | − | 3.25730i | −0.0968986 | − | 0.217638i | ||||
\(225\) | −6.13241 | + | 2.47850i | −0.408827 | + | 0.165233i | ||||
\(226\) | −9.11705 | + | 17.8932i | −0.606457 | + | 1.19024i | ||||
\(227\) | 10.2855 | + | 12.7016i | 0.682675 | + | 0.843033i | 0.994238 | − | 0.107192i | \(-0.0341860\pi\) |
−0.311563 | + | 0.950225i | \(0.600853\pi\) | |||||||
\(228\) | 9.46577 | − | 12.5631i | 0.626886 | − | 0.832008i | ||||
\(229\) | 8.82252 | + | 17.3152i | 0.583008 | + | 1.14422i | 0.974574 | + | 0.224068i | \(0.0719337\pi\) |
−0.391565 | + | 0.920150i | \(0.628066\pi\) | |||||||
\(230\) | 38.5737 | − | 22.2705i | 2.54347 | − | 1.46848i | ||||
\(231\) | −2.32508 | + | 1.07779i | −0.152979 | + | 0.0709137i | ||||
\(232\) | 0.0251215 | + | 0.0937548i | 0.00164931 | + | 0.00615530i | ||||
\(233\) | 1.19609 | − | 3.68118i | 0.0783582 | − | 0.241162i | −0.904202 | − | 0.427104i | \(-0.859534\pi\) |
0.982561 | + | 0.185942i | \(0.0595338\pi\) | |||||||
\(234\) | 9.40635 | − | 19.4590i | 0.614913 | − | 1.27207i | ||||
\(235\) | 12.8310 | + | 9.32224i | 0.837000 | + | 0.608116i | ||||
\(236\) | 24.5642 | − | 15.9522i | 1.59899 | − | 1.03840i | ||||
\(237\) | −3.97963 | + | 1.44873i | −0.258504 | + | 0.0941053i | ||||
\(238\) | 0.730215 | + | 0.0767487i | 0.0473328 | + | 0.00497488i | ||||
\(239\) | −4.11423 | + | 25.9762i | −0.266128 | + | 1.68026i | 0.386269 | + | 0.922386i | \(0.373764\pi\) |
−0.652397 | + | 0.757878i | \(0.726236\pi\) | |||||||
\(240\) | −0.324651 | + | 18.6625i | −0.0209561 | + | 1.20466i | ||||
\(241\) | −23.1610 | − | 6.20598i | −1.49193 | − | 0.399763i | −0.581544 | − | 0.813515i | \(-0.697551\pi\) |
−0.910390 | + | 0.413752i | \(0.864218\pi\) | |||||||
\(242\) | 6.52389 | − | 20.9890i | 0.419372 | − | 1.34923i | ||||
\(243\) | −2.71145 | − | 15.3508i | −0.173940 | − | 0.984756i | ||||
\(244\) | 10.6096 | − | 9.55295i | 0.679212 | − | 0.611565i | ||||
\(245\) | −11.4882 | + | 14.1868i | −0.733957 | + | 0.906361i | ||||
\(246\) | 1.10814 | − | 15.8607i | 0.0706527 | − | 1.01124i | ||||
\(247\) | −3.47118 | − | 16.0625i | −0.220866 | − | 1.02203i | ||||
\(248\) | 0.0725737 | − | 0.0235806i | 0.00460843 | − | 0.00149737i | ||||
\(249\) | 3.24512 | + | 16.6894i | 0.205651 | + | 1.05765i | ||||
\(250\) | −1.56707 | − | 14.9096i | −0.0991100 | − | 0.942968i | ||||
\(251\) | 24.2848 | − | 5.16189i | 1.53284 | − | 0.325816i | 0.637238 | − | 0.770667i | \(-0.280077\pi\) |
0.895604 | + | 0.444852i | \(0.146744\pi\) | |||||||
\(252\) | 2.52136 | − | 0.868507i | 0.158831 | − | 0.0547108i | ||||
\(253\) | −27.2844 | + | 3.76988i | −1.71535 | + | 0.237011i | ||||
\(254\) | −0.424625 | + | 1.58472i | −0.0266434 | + | 0.0994344i | ||||
\(255\) | −3.28257 | − | 1.97210i | −0.205563 | − | 0.123498i | ||||
\(256\) | 14.7248 | + | 6.55589i | 0.920299 | + | 0.409743i | ||||
\(257\) | −1.13873 | + | 0.506995i | −0.0710320 | + | 0.0316255i | −0.441945 | − | 0.897042i | \(-0.645711\pi\) |
0.370913 | + | 0.928668i | \(0.379045\pi\) | |||||||
\(258\) | −26.4181 | − | 12.3170i | −1.64472 | − | 0.766826i | ||||
\(259\) | −2.11036 | + | 0.685696i | −0.131131 | + | 0.0426071i | ||||
\(260\) | −14.3744 | − | 12.8548i | −0.891463 | − | 0.797218i | ||||
\(261\) | −19.3049 | + | 3.40633i | −1.19494 | + | 0.210847i | ||||
\(262\) | −0.283730 | + | 5.41389i | −0.0175289 | + | 0.334471i | ||||
\(263\) | −6.67543 | − | 3.85406i | −0.411625 | − | 0.237652i | 0.279863 | − | 0.960040i | \(-0.409711\pi\) |
−0.691488 | + | 0.722388i | \(0.743044\pi\) | |||||||
\(264\) | 0.0335191 | − | 0.0784710i | 0.00206296 | − | 0.00482956i | ||||
\(265\) | 14.5151 | + | 14.5151i | 0.891658 | + | 0.891658i | ||||
\(266\) | 2.21277 | − | 3.40737i | 0.135674 | − | 0.208919i | ||||
\(267\) | −11.7229 | − | 8.83279i | −0.717433 | − | 0.540558i | ||||
\(268\) | −6.34254 | + | 1.00456i | −0.387432 | + | 0.0613633i | ||||
\(269\) | 17.3552 | + | 15.6267i | 1.05816 | + | 0.952775i | 0.998966 | − | 0.0454716i | \(-0.0144790\pi\) |
0.0591979 | + | 0.998246i | \(0.481146\pi\) | |||||||
\(270\) | −27.7166 | − | 2.90816i | −1.68678 | − | 0.176985i | ||||
\(271\) | −2.33130 | + | 6.07325i | −0.141617 | + | 0.368924i | −0.985984 | − | 0.166841i | \(-0.946643\pi\) |
0.844367 | + | 0.535765i | \(0.179977\pi\) | |||||||
\(272\) | −2.67538 | + | 1.94378i | −0.162219 | + | 0.117859i | ||||
\(273\) | 1.03473 | − | 2.58672i | 0.0626248 | − | 0.156555i | ||||
\(274\) | 20.7091 | 1.25108 | ||||||||
\(275\) | 2.03192 | − | 7.02444i | 0.122529 | − | 0.423590i | ||||
\(276\) | 28.6439 | − | 1.00196i | 1.72416 | − | 0.0603112i | ||||
\(277\) | −1.44670 | − | 6.80620i | −0.0869240 | − | 0.408945i | −0.999999 | − | 0.00115429i | \(-0.999633\pi\) |
0.913075 | − | 0.407791i | \(-0.133701\pi\) | |||||||
\(278\) | −0.549536 | + | 3.46963i | −0.0329590 | + | 0.208095i | ||||
\(279\) | 3.46864 | + | 15.0162i | 0.207662 | + | 0.898997i | ||||
\(280\) | 0.000930902 | 0.0177627i | 5.56320e−5 | 0.00106152i | ||||||
\(281\) | 5.93276 | − | 11.6437i | 0.353919 | − | 0.694605i | −0.643573 | − | 0.765385i | \(-0.722549\pi\) |
0.997492 | + | 0.0707798i | \(0.0225488\pi\) | |||||||
\(282\) | 8.96546 | + | 18.3792i | 0.533885 | + | 1.09446i | ||||
\(283\) | 19.5091 | − | 2.05049i | 1.15970 | − | 0.121889i | 0.494926 | − | 0.868935i | \(-0.335195\pi\) |
0.664772 | + | 0.747046i | \(0.268528\pi\) | |||||||
\(284\) | −0.510738 | + | 9.74547i | −0.0303068 | + | 0.578287i | ||||
\(285\) | −17.9692 | + | 11.2299i | −1.06440 | + | 0.665201i | ||||
\(286\) | 10.4975 | + | 21.4649i | 0.620728 | + | 1.26924i | ||||
\(287\) | − | 2.04947i | − | 0.120976i | ||||||
\(288\) | −11.6220 | + | 20.9724i | −0.684831 | + | 1.23581i | ||||
\(289\) | 1.70607 | + | 16.2321i | 0.100357 | + | 0.954831i | ||||
\(290\) | −3.66332 | + | 34.8542i | −0.215118 | + | 2.04671i | ||||
\(291\) | −2.25950 | − | 25.8086i | −0.132454 | − | 1.51292i | ||||
\(292\) | −16.0525 | + | 0.841278i | −0.939404 | + | 0.0492321i | ||||
\(293\) | −11.0700 | + | 8.96430i | −0.646716 | + | 0.523700i | −0.895615 | − | 0.444829i | \(-0.853264\pi\) |
0.248900 | + | 0.968529i | \(0.419931\pi\) | |||||||
\(294\) | −21.6657 | + | 9.19807i | −1.26357 | + | 0.536442i | ||||
\(295\) | −38.5934 | + | 8.20328i | −2.24699 | + | 0.477613i | ||||
\(296\) | 0.0369417 | − | 0.0639849i | 0.00214719 | − | 0.00371905i | ||||
\(297\) | 15.1990 | + | 8.12339i | 0.881937 | + | 0.471367i | ||||
\(298\) | 27.2175i | 1.57667i | ||||||||
\(299\) | 18.7647 | − | 23.3339i | 1.08519 | − | 1.34943i | ||||
\(300\) | −2.85003 | + | 7.05528i | −0.164547 | + | 0.407337i | ||||
\(301\) | −3.50773 | − | 1.34649i | −0.202182 | − | 0.0776105i | ||||
\(302\) | 7.84902 | − | 36.9267i | 0.451660 | − | 2.12489i | ||||
\(303\) | 0.362974 | − | 2.05924i | 0.0208523 | − | 0.118300i | ||||
\(304\) | 2.86254 | + | 18.0734i | 0.164178 | + | 1.03658i | ||||
\(305\) | −17.9546 | + | 6.89213i | −1.02808 | + | 0.394642i | ||||
\(306\) | −2.54352 | − | 4.23199i | −0.145403 | − | 0.241927i | ||||
\(307\) | 18.1499 | − | 18.1499i | 1.03587 | − | 1.03587i | 0.0365348 | − | 0.999332i | \(-0.488368\pi\) |
0.999332 | − | 0.0365348i | \(-0.0116320\pi\) | |||||||
\(308\) | −0.966321 | + | 2.78534i | −0.0550612 | + | 0.158709i | ||||
\(309\) | −26.2465 | + | 0.918104i | −1.49311 | + | 0.0522291i | ||||
\(310\) | 27.5149 | + | 1.44199i | 1.56274 | + | 0.0818998i | ||||
\(311\) | 1.85674 | − | 1.34900i | 0.105286 | − | 0.0764946i | −0.533897 | − | 0.845550i | \(-0.679273\pi\) |
0.639182 | + | 0.769055i | \(0.279273\pi\) | |||||||
\(312\) | 0.0320277 | + | 0.0870593i | 0.00181321 | + | 0.00492876i | ||||
\(313\) | −4.06484 | − | 12.5103i | −0.229759 | − | 0.707124i | −0.997774 | − | 0.0666924i | \(-0.978755\pi\) |
0.768015 | − | 0.640432i | \(-0.221245\pi\) | |||||||
\(314\) | 15.8303 | − | 10.2803i | 0.893355 | − | 0.580151i | ||||
\(315\) | −3.59018 | − | 0.124947i | −0.202284 | − | 0.00703994i | ||||
\(316\) | −1.98167 | + | 4.45090i | −0.111478 | + | 0.250383i | ||||
\(317\) | −3.09990 | − | 6.08389i | −0.174107 | − | 0.341705i | 0.787419 | − | 0.616419i | \(-0.211417\pi\) |
−0.961526 | + | 0.274713i | \(0.911417\pi\) | |||||||
\(318\) | 7.73984 | + | 25.3105i | 0.434029 | + | 1.41934i | ||||
\(319\) | 10.2189 | − | 19.1116i | 0.572148 | − | 1.07004i | ||||
\(320\) | 15.0709 | + | 15.0709i | 0.842488 | + | 0.842488i | ||||
\(321\) | −1.22839 | − | 1.27189i | −0.0685622 | − | 0.0709899i | ||||
\(322\) | 7.36229 | − | 0.773808i | 0.410284 | − | 0.0431226i | ||||
\(323\) | −3.50484 | − | 1.34538i | −0.195014 | − | 0.0748590i | ||||
\(324\) | −14.8696 | − | 10.0245i | −0.826088 | − | 0.556919i | ||||
\(325\) | 3.63297 | + | 7.07072i | 0.201521 | + | 0.392213i | ||||
\(326\) | 9.08675 | − | 12.5068i | 0.503269 | − | 0.692690i | ||||
\(327\) | −0.00936147 | + | 0.0762804i | −0.000517691 | + | 0.00421832i | ||||
\(328\) | 0.0456614 | + | 0.0507121i | 0.00252123 | + | 0.00280011i | ||||
\(329\) | 1.31798 | + | 2.28281i | 0.0726627 | + | 0.125855i | ||||
\(330\) | 21.4527 | − | 22.1144i | 1.18093 | − | 1.21736i | ||||
\(331\) | 1.81184 | − | 6.76186i | 0.0995875 | − | 0.371665i | −0.898088 | − | 0.439817i | \(-0.855043\pi\) |
0.997675 | + | 0.0681513i | \(0.0217101\pi\) | |||||||
\(332\) | 16.4037 | + | 10.6527i | 0.900273 | + | 0.584644i | ||||
\(333\) | 12.2243 | + | 8.55737i | 0.669886 | + | 0.468941i | ||||
\(334\) | −3.27653 | + | 31.1741i | −0.179284 | + | 1.70577i | ||||
\(335\) | 8.46146 | + | 1.79854i | 0.462299 | + | 0.0982647i | ||||
\(336\) | −1.31089 | + | 2.81165i | −0.0715150 | + | 0.153388i | ||||
\(337\) | 14.9325 | − | 20.5529i | 0.813426 | − | 1.11959i | −0.177359 | − | 0.984146i | \(-0.556756\pi\) |
0.990786 | − | 0.135439i | \(-0.0432445\pi\) | |||||||
\(338\) | −24.3131 | − | 9.14418i | −1.32246 | − | 0.497378i | ||||
\(339\) | 16.8904 | − | 4.21231i | 0.917360 | − | 0.228781i | ||||
\(340\) | −4.25529 | + | 1.14020i | −0.230775 | + | 0.0618361i | ||||
\(341\) | −15.4251 | − | 7.23655i | −0.835314 | − | 0.391881i | ||||
\(342\) | −27.2545 | + | 1.90906i | −1.47375 | + | 0.103230i | ||||
\(343\) | −5.48579 | + | 2.79515i | −0.296205 | + | 0.150924i | ||||
\(344\) | 0.116795 | − | 0.0448334i | 0.00629716 | − | 0.00241725i | ||||
\(345\) | −36.5068 | − | 12.5679i | −1.96546 | − | 0.676633i | ||||
\(346\) | 10.7572 | + | 5.48108i | 0.578312 | + | 0.294665i | ||||
\(347\) | 3.73590 | + | 3.36382i | 0.200553 | + | 0.180579i | 0.763288 | − | 0.646059i | \(-0.223584\pi\) |
−0.562734 | + | 0.826638i | \(0.690251\pi\) | |||||||
\(348\) | −12.6096 | + | 18.6969i | −0.675945 | + | 1.00226i | ||||
\(349\) | 15.4214 | + | 12.4880i | 0.825489 | + | 0.668468i | 0.945972 | − | 0.324248i | \(-0.105111\pi\) |
−0.120484 | + | 0.992715i | \(0.538445\pi\) | |||||||
\(350\) | −0.607325 | + | 1.86915i | −0.0324629 | + | 0.0999105i | ||||
\(351\) | −18.0792 | + | 4.91354i | −0.964996 | + | 0.262265i | ||||
\(352\) | −10.3007 | − | 24.4247i | −0.549030 | − | 1.30184i | ||||
\(353\) | −1.32053 | − | 4.92829i | −0.0702848 | − | 0.262307i | 0.921838 | − | 0.387575i | \(-0.126687\pi\) |
−0.992123 | + | 0.125269i | \(0.960021\pi\) | |||||||
\(354\) | −48.9028 | − | 14.0195i | −2.59916 | − | 0.745130i | ||||
\(355\) | 5.34699 | − | 12.0095i | 0.283789 | − | 0.637400i | ||||
\(356\) | −16.6779 | + | 2.64152i | −0.883926 | + | 0.140000i | ||||
\(357\) | −0.365089 | − | 0.521336i | −0.0193226 | − | 0.0275920i | ||||
\(358\) | 1.42310 | + | 27.1544i | 0.0752132 | + | 1.43515i | ||||
\(359\) | 0.483010 | + | 3.04961i | 0.0254923 | + | 0.160952i | 0.997150 | − | 0.0754383i | \(-0.0240356\pi\) |
−0.971658 | + | 0.236390i | \(0.924036\pi\) | |||||||
\(360\) | 0.0916195 | − | 0.0768964i | 0.00482877 | − | 0.00405279i | ||||
\(361\) | −1.31789 | + | 1.18664i | −0.0693628 | + | 0.0624545i | ||||
\(362\) | 24.0334 | − | 6.43972i | 1.26316 | − | 0.338464i | ||||
\(363\) | −17.4408 | + | 7.66937i | −0.915404 | + | 0.402537i | ||||
\(364\) | −1.31353 | − | 2.92350i | −0.0688476 | − | 0.153233i | ||||
\(365\) | 20.5941 | + | 6.69143i | 1.07795 | + | 0.350246i | ||||
\(366\) | −24.6124 | − | 3.02055i | −1.28651 | − | 0.157887i | ||||
\(367\) | 11.6582 | − | 5.19059i | 0.608555 | − | 0.270946i | −0.0792346 | − | 0.996856i | \(-0.525248\pi\) |
0.687790 | + | 0.725910i | \(0.258581\pi\) | |||||||
\(368\) | −22.3100 | + | 24.7778i | −1.16299 | + | 1.29163i | ||||
\(369\) | −11.0059 | + | 8.29555i | −0.572942 | + | 0.431849i | ||||
\(370\) | 20.7319 | − | 16.7884i | 1.07780 | − | 0.872787i | ||||
\(371\) | 1.22265 | + | 3.18512i | 0.0634770 | + | 0.165363i | ||||
\(372\) | 15.1978 | + | 9.13055i | 0.787971 | + | 0.473397i | ||||
\(373\) | 4.39972 | + | 7.62054i | 0.227809 | + | 0.394577i | 0.957158 | − | 0.289565i | \(-0.0935105\pi\) |
−0.729349 | + | 0.684141i | \(0.760177\pi\) | |||||||
\(374\) | 5.41639 | + | 0.677840i | 0.280075 | + | 0.0350502i | ||||
\(375\) | −8.86223 | + | 9.50471i | −0.457644 | + | 0.490821i | ||||
\(376\) | −0.0834724 | − | 0.0271218i | −0.00430476 | − | 0.00139870i | ||||
\(377\) | 6.17494 | + | 22.7364i | 0.318026 | + | 1.17099i | ||||
\(378\) | −4.01172 | − | 2.31522i | −0.206341 | − | 0.119082i | ||||
\(379\) | −3.44152 | − | 5.29948i | −0.176779 | − | 0.272216i | 0.739163 | − | 0.673527i | \(-0.235221\pi\) |
−0.915942 | + | 0.401311i | \(0.868555\pi\) | |||||||
\(380\) | −5.06822 | + | 23.8441i | −0.259994 | + | 1.22318i | ||||
\(381\) | 1.27818 | − | 0.623503i | 0.0654831 | − | 0.0319431i | ||||
\(382\) | −27.3002 | − | 4.32392i | −1.39680 | − | 0.221231i | ||||
\(383\) | 9.70905 | − | 14.9506i | 0.496109 | − | 0.763941i | −0.498582 | − | 0.866842i | \(-0.666146\pi\) |
0.994692 | + | 0.102901i | \(0.0328125\pi\) | |||||||
\(384\) | −0.0601884 | − | 0.196826i | −0.00307147 | − | 0.0100442i | ||||
\(385\) | 2.55990 | − | 3.03640i | 0.130465 | − | 0.154749i | ||||
\(386\) | −43.2089 | + | 24.9467i | −2.19927 | + | 1.26975i | ||||
\(387\) | 6.96731 | + | 24.2871i | 0.354168 | + | 1.23458i | ||||
\(388\) | −23.1620 | − | 18.7562i | −1.17587 | − | 0.952204i | ||||
\(389\) | 11.2768 | + | 8.19305i | 0.571754 | + | 0.415404i | 0.835742 | − | 0.549122i | \(-0.185038\pi\) |
−0.263988 | + | 0.964526i | \(0.585038\pi\) | |||||||
\(390\) | −0.468976 | + | 33.4908i | −0.0237475 | + | 1.69587i | ||||
\(391\) | −2.11382 | − | 6.50568i | −0.106901 | − | 0.329006i | ||||
\(392\) | 0.0362031 | − | 0.0943124i | 0.00182853 | − | 0.00476350i | ||||
\(393\) | 3.70298 | − | 2.89344i | 0.186791 | − | 0.145955i | ||||
\(394\) | −0.185899 | − | 0.874584i | −0.00936544 | − | 0.0440609i | ||||
\(395\) | 4.64088 | − | 4.64088i | 0.233508 | − | 0.233508i | ||||
\(396\) | 18.8689 | − | 6.08487i | 0.948199 | − | 0.305776i | ||||
\(397\) | 13.5590 | + | 3.63312i | 0.680506 | + | 0.182341i | 0.582483 | − | 0.812843i | \(-0.302081\pi\) |
0.0980231 | + | 0.995184i | \(0.468748\pi\) | |||||||
\(398\) | −30.6003 | + | 15.5916i | −1.53386 | + | 0.781538i | ||||
\(399\) | −3.48748 | + | 0.490344i | −0.174592 | + | 0.0245479i | ||||
\(400\) | −3.60034 | − | 8.08649i | −0.180017 | − | 0.404325i | ||||
\(401\) | 15.8426 | + | 24.3955i | 0.791143 | + | 1.21825i | 0.972055 | + | 0.234754i | \(0.0754286\pi\) |
−0.180912 | + | 0.983499i | \(0.557905\pi\) | |||||||
\(402\) | 8.54462 | + | 7.16893i | 0.426167 | + | 0.357554i | ||||
\(403\) | 17.5964 | − | 5.78348i | 0.876539 | − | 0.288096i | ||||
\(404\) | −1.41391 | − | 1.94608i | −0.0703448 | − | 0.0968213i | ||||
\(405\) | 13.8609 | + | 19.7854i | 0.688753 | + | 0.983145i | ||||
\(406\) | −2.91238 | + | 5.04439i | −0.144539 | + | 0.250349i | ||||
\(407\) | −15.7871 | + | 4.78647i | −0.782536 | + | 0.237257i | ||||
\(408\) | 0.0206490 | + | 0.00476590i | 0.00102228 | + | 0.000235947i | ||||
\(409\) | 16.1289 | + | 10.4742i | 0.797523 | + | 0.517918i | 0.877898 | − | 0.478847i | \(-0.158945\pi\) |
−0.0803750 | + | 0.996765i | \(0.525612\pi\) | |||||||
\(410\) | 8.82995 | + | 23.0028i | 0.436080 | + | 1.13603i | ||||
\(411\) | −11.7779 | − | 13.5473i | −0.580962 | − | 0.668241i | ||||
\(412\) | −20.2162 | + | 22.4524i | −0.995983 | + | 1.10615i | ||||
\(413\) | −6.41432 | − | 1.36341i | −0.315628 | − | 0.0670888i | ||||
\(414\) | −33.9555 | − | 36.4042i | −1.66882 | − | 1.78917i | ||||
\(415\) | −15.4870 | − | 21.3161i | −0.760228 | − | 1.04636i | ||||
\(416\) | 26.3654 | + | 11.6316i | 1.29267 | + | 0.570288i | ||||
\(417\) | 2.58227 | − | 1.61380i | 0.126455 | − | 0.0790280i | ||||
\(418\) | 16.9485 | − | 25.0016i | 0.828979 | − | 1.22287i | ||||
\(419\) | 5.10316 | + | 2.94631i | 0.249306 | + | 0.143937i | 0.619446 | − | 0.785039i | \(-0.287357\pi\) |
−0.370141 | + | 0.928976i | \(0.620691\pi\) | |||||||
\(420\) | −2.97263 | + | 2.87098i | −0.145050 | + | 0.140089i | ||||
\(421\) | −26.5998 | − | 4.21299i | −1.29639 | − | 0.205329i | −0.530164 | − | 0.847895i | \(-0.677870\pi\) |
−0.766230 | + | 0.642566i | \(0.777870\pi\) | |||||||
\(422\) | −1.35892 | − | 1.67813i | −0.0661513 | − | 0.0816900i | ||||
\(423\) | 6.92420 | − | 16.3178i | 0.336666 | − | 0.793396i | ||||
\(424\) | −0.101217 | − | 0.0515725i | −0.00491552 | − | 0.00250458i | ||||
\(425\) | 1.80610 | + | 0.189829i | 0.0876086 | + | 0.00920804i | ||||
\(426\) | 13.3562 | − | 10.4363i | 0.647112 | − | 0.505641i | ||||
\(427\) | −3.19203 | − | 0.167287i | −0.154473 | − | 0.00809558i | ||||
\(428\) | −2.03419 | −0.0983263 | ||||||||
\(429\) | 8.07148 | − | 19.0749i | 0.389695 | − | 0.920944i | ||||
\(430\) | 45.1713 | 2.17836 | ||||||||
\(431\) | −2.29038 | − | 0.120034i | −0.110324 | − | 0.00578182i | −0.00290579 | − | 0.999996i | \(-0.500925\pi\) |
−0.107418 | + | 0.994214i | \(0.534258\pi\) | |||||||
\(432\) | 20.4049 | − | 4.34099i | 0.981733 | − | 0.208856i | ||||
\(433\) | −27.8659 | − | 2.92883i | −1.33915 | − | 0.140751i | −0.592287 | − | 0.805727i | \(-0.701775\pi\) |
−0.746864 | + | 0.664976i | \(0.768442\pi\) | |||||||
\(434\) | 4.08021 | + | 2.07897i | 0.195856 | + | 0.0997937i | ||||
\(435\) | 24.8841 | − | 17.4262i | 1.19310 | − | 0.835523i | ||||
\(436\) | 0.0556395 | + | 0.0687090i | 0.00266465 | + | 0.00329057i | ||||
\(437\) | −37.3851 | − | 5.92121i | −1.78837 | − | 0.283250i | ||||
\(438\) | 19.3960 | + | 20.0827i | 0.926775 | + | 0.959590i | ||||
\(439\) | −9.95847 | − | 5.74952i | −0.475292 | − | 0.274410i | 0.243161 | − | 0.969986i | \(-0.421816\pi\) |
−0.718452 | + | 0.695576i | \(0.755149\pi\) | |||||||
\(440\) | 0.00430764 | + | 0.132167i | 0.000205358 | + | 0.00630079i | ||||
\(441\) | 18.3391 | + | 8.94189i | 0.873290 | + | 0.425804i | ||||
\(442\) | −4.78899 | + | 3.50428i | −0.227789 | + | 0.166682i | ||||
\(443\) | −6.27655 | − | 8.63893i | −0.298208 | − | 0.410448i | 0.633451 | − | 0.773783i | \(-0.281638\pi\) |
−0.931659 | + | 0.363335i | \(0.881638\pi\) | |||||||
\(444\) | 16.8506 | − | 3.27647i | 0.799696 | − | 0.155494i | ||||
\(445\) | 22.2496 | + | 4.72931i | 1.05473 | + | 0.224191i | ||||
\(446\) | 9.53219 | − | 10.5866i | 0.451363 | − | 0.501289i | ||||
\(447\) | 17.8049 | − | 15.4794i | 0.842145 | − | 0.732153i | ||||
\(448\) | 1.26946 | + | 3.30707i | 0.0599766 | + | 0.156244i | ||||
\(449\) | −18.7742 | − | 12.1921i | −0.886008 | − | 0.575381i | 0.0194523 | − | 0.999811i | \(-0.493808\pi\) |
−0.905461 | + | 0.424430i | \(0.860474\pi\) | |||||||
\(450\) | 12.4958 | − | 4.30431i | 0.589058 | − | 0.202907i | ||||
\(451\) | 0.301345 | − | 15.2337i | 0.0141898 | − | 0.717325i | ||||
\(452\) | 10.0130 | − | 17.3430i | 0.470972 | − | 0.815747i | ||||
\(453\) | −28.6204 | + | 15.8668i | −1.34470 | + | 0.745486i | ||||
\(454\) | −19.1955 | − | 26.4204i | −0.900890 | − | 1.23997i | ||||
\(455\) | 0.240582 | + | 4.31077i | 0.0112787 | + | 0.202092i | ||||
\(456\) | 0.0753697 | − | 0.0898329i | 0.00352951 | − | 0.00420681i | ||||
\(457\) | 11.0801 | + | 17.0618i | 0.518305 | + | 0.798119i | 0.996797 | − | 0.0799725i | \(-0.0254833\pi\) |
−0.478492 | + | 0.878092i | \(0.658817\pi\) | |||||||
\(458\) | −15.7937 | − | 35.4733i | −0.737993 | − | 1.65756i | ||||
\(459\) | −1.32187 | + | 4.07076i | −0.0616997 | + | 0.190007i | ||||
\(460\) | −39.5757 | + | 20.1648i | −1.84522 | + | 0.940189i | ||||
\(461\) | −3.76396 | − | 1.00855i | −0.175305 | − | 0.0469728i | 0.170099 | − | 0.985427i | \(-0.445591\pi\) |
−0.345404 | + | 0.938454i | \(0.612258\pi\) | |||||||
\(462\) | 4.75218 | − | 1.90749i | 0.221092 | − | 0.0887445i | ||||
\(463\) | −14.3095 | + | 14.3095i | −0.665019 | + | 0.665019i | −0.956559 | − | 0.291540i | \(-0.905832\pi\) |
0.291540 | + | 0.956559i | \(0.405832\pi\) | |||||||
\(464\) | −5.45442 | − | 25.6610i | −0.253215 | − | 1.19128i | ||||
\(465\) | −14.7053 | − | 18.8196i | −0.681941 | − | 0.872738i | ||||
\(466\) | −2.77163 | + | 7.22035i | −0.128393 | + | 0.334476i | ||||
\(467\) | −2.02330 | − | 6.22708i | −0.0936271 | − | 0.288155i | 0.893266 | − | 0.449528i | \(-0.148408\pi\) |
−0.986893 | + | 0.161373i | \(0.948408\pi\) | |||||||
\(468\) | −10.3828 | + | 18.8872i | −0.479946 | + | 0.873059i | ||||
\(469\) | 1.16315 | + | 0.845079i | 0.0537093 | + | 0.0390221i | ||||
\(470\) | −24.6281 | − | 19.9434i | −1.13601 | − | 0.919921i | ||||
\(471\) | −15.7283 | − | 4.50900i | −0.724721 | − | 0.207764i | ||||
\(472\) | 0.189093 | − | 0.109173i | 0.00870369 | − | 0.00502508i | ||||
\(473\) | −25.8749 | − | 10.5242i | −1.18973 | − | 0.483904i | ||||
\(474\) | 8.09245 | − | 2.47464i | 0.371699 | − | 0.113664i | ||||
\(475\) | 5.47302 | − | 8.42771i | 0.251119 | − | 0.386690i | ||||
\(476\) | −0.723174 | − | 0.114540i | −0.0331466 | − | 0.00524991i | ||||
\(477\) | 12.1555 | − | 19.4581i | 0.556564 | − | 0.890924i | ||||
\(478\) | 10.9260 | − | 51.4028i | 0.499744 | − | 2.35111i | ||||
\(479\) | 6.97857 | + | 10.7460i | 0.318859 | + | 0.490999i | 0.961363 | − | 0.275282i | \(-0.0887713\pi\) |
−0.642505 | + | 0.766282i | \(0.722105\pi\) | |||||||
\(480\) | 2.58981 | − | 37.0675i | 0.118208 | − | 1.69189i | ||||
\(481\) | 8.91418 | − | 15.5615i | 0.406452 | − | 0.709542i | ||||
\(482\) | 45.5666 | + | 14.8055i | 2.07550 | + | 0.674372i | ||||
\(483\) | −4.69337 | − | 4.37611i | −0.213556 | − | 0.199120i | ||||
\(484\) | −7.59219 | + | 20.5613i | −0.345100 | + | 0.934605i | ||||
\(485\) | 20.0743 | + | 34.7698i | 0.911529 | + | 1.57882i | ||||
\(486\) | 3.80513 | + | 30.9146i | 0.172604 | + | 1.40232i | ||||
\(487\) | 4.28606 | + | 11.1656i | 0.194220 | + | 0.505960i | 0.995761 | − | 0.0919796i | \(-0.0293194\pi\) |
−0.801541 | + | 0.597940i | \(0.795986\pi\) | |||||||
\(488\) | 0.0827108 | − | 0.0669778i | 0.00374414 | − | 0.00303194i | ||||
\(489\) | −13.3496 | + | 1.16873i | −0.603688 | + | 0.0528518i | ||||
\(490\) | 24.4072 | − | 27.1070i | 1.10261 | − | 1.22457i | ||||
\(491\) | 3.28434 | − | 1.46228i | 0.148220 | − | 0.0659918i | −0.331286 | − | 0.943530i | \(-0.607483\pi\) |
0.479506 | + | 0.877539i | \(0.340816\pi\) | |||||||
\(492\) | −1.93131 | + | 15.7369i | −0.0870700 | + | 0.709476i | ||||
\(493\) | 5.11885 | + | 1.66322i | 0.230542 | + | 0.0749075i | ||||
\(494\) | 5.24667 | + | 32.4142i | 0.236059 | + | 1.45838i | ||||
\(495\) | −26.6674 | − | 1.45661i | −1.19861 | − | 0.0654698i | ||||
\(496\) | −19.9222 | + | 5.33813i | −0.894531 | + | 0.239689i | ||||
\(497\) | 1.62371 | − | 1.46199i | 0.0728331 | − | 0.0655792i | ||||
\(498\) | −4.73003 | − | 33.6415i | −0.211958 | − | 1.50751i | ||||
\(499\) | −1.61097 | − | 10.1712i | −0.0721167 | − | 0.455327i | −0.997150 | − | 0.0754415i | \(-0.975963\pi\) |
0.925034 | − | 0.379886i | \(-0.124037\pi\) | |||||||
\(500\) | 0.782419 | + | 14.9295i | 0.0349909 | + | 0.667665i | ||||
\(501\) | 22.2567 | − | 15.5863i | 0.994355 | − | 0.696343i | ||||
\(502\) | −48.9977 | + | 7.76047i | −2.18687 | + | 0.346367i | ||||
\(503\) | −17.2771 | + | 38.8050i | −0.770348 | + | 1.73023i | −0.0916737 | + | 0.995789i | \(0.529222\pi\) |
−0.678674 | + | 0.734440i | \(0.737445\pi\) | |||||||
\(504\) | 0.0191092 | − | 0.00548191i | 0.000851190 | − | 0.000244184i | ||||
\(505\) | 0.838682 | + | 3.13001i | 0.0373209 | + | 0.139283i | ||||
\(506\) | 54.8376 | − | 4.66918i | 2.43783 | − | 0.207570i | ||||
\(507\) | 7.84576 | + | 21.1055i | 0.348442 | + | 0.937330i | ||||
\(508\) | 0.505567 | − | 1.55598i | 0.0224309 | − | 0.0690352i | ||||
\(509\) | 3.43176 | + | 2.77898i | 0.152110 | + | 0.123176i | 0.702354 | − | 0.711827i | \(-0.252132\pi\) |
−0.550245 | + | 0.835004i | \(0.685465\pi\) | |||||||
\(510\) | 6.34382 | + | 4.27841i | 0.280909 | + | 0.189451i | ||||
\(511\) | 2.67453 | + | 2.40816i | 0.118314 | + | 0.106531i | ||||
\(512\) | −28.4845 | − | 14.5136i | −1.25885 | − | 0.641416i | ||||
\(513\) | 16.7493 | + | 16.7434i | 0.739502 | + | 0.739239i | ||||
\(514\) | 2.32524 | − | 0.892577i | 0.102562 | − | 0.0393699i | ||||
\(515\) | 36.2634 | − | 18.4771i | 1.59795 | − | 0.814198i | ||||
\(516\) | 25.6654 | + | 13.6446i | 1.12986 | + | 0.600670i | ||||
\(517\) | 9.46088 | + | 17.1619i | 0.416089 | + | 0.754779i | ||||
\(518\) | 4.28271 | − | 1.14755i | 0.188172 | − | 0.0504204i | ||||
\(519\) | −2.53240 | − | 10.1543i | −0.111160 | − | 0.445726i | ||||
\(520\) | −0.101995 | − | 0.101306i | −0.00447279 | − | 0.00444255i | ||||
\(521\) | 1.75826 | − | 2.42004i | 0.0770310 | − | 0.106024i | −0.768763 | − | 0.639534i | \(-0.779127\pi\) |
0.845794 | + | 0.533510i | \(0.179127\pi\) | |||||||
\(522\) | 38.8773 | − | 4.77820i | 1.70161 | − | 0.209136i | ||||
\(523\) | 30.1507 | + | 6.40873i | 1.31840 | + | 0.280234i | 0.812804 | − | 0.582538i | \(-0.197940\pi\) |
0.505594 | + | 0.862772i | \(0.331273\pi\) | |||||||
\(524\) | 0.565101 | − | 5.37657i | 0.0246865 | − | 0.234877i | ||||
\(525\) | 1.56815 | − | 0.665751i | 0.0684398 | − | 0.0290558i | ||||
\(526\) | 12.9171 | + | 8.38848i | 0.563214 | + | 0.365755i | ||||
\(527\) | 1.09518 | − | 4.08727i | 0.0477068 | − | 0.178044i | ||||
\(528\) | −10.1573 | + | 20.7062i | −0.442038 | + | 0.901123i | ||||
\(529\) | −22.9841 | − | 39.8096i | −0.999308 | − | 1.73085i | ||||
\(530\) | −27.4456 | − | 30.4815i | −1.19216 | − | 1.32403i | ||||
\(531\) | 18.6414 | + | 39.9642i | 0.808967 | + | 1.73430i | ||||
\(532\) | −2.38140 | + | 3.27772i | −0.103247 | + | 0.142107i | ||||
\(533\) | 11.1251 | + | 12.2718i | 0.481884 | + | 0.531549i | ||||
\(534\) | 22.4683 | + | 18.8509i | 0.972299 | + | 0.815758i | ||||
\(535\) | 2.55824 | + | 0.982015i | 0.110602 | + | 0.0424562i | ||||
\(536\) | −0.0476092 | + | 0.00500392i | −0.00205640 | + | 0.000216137i | ||||
\(537\) | 16.9543 | − | 16.3745i | 0.731631 | − | 0.706612i | ||||
\(538\) | −32.9964 | − | 32.9964i | −1.42258 | − | 1.42258i | ||||
\(539\) | −20.2964 | + | 9.84086i | −0.874228 | + | 0.423876i | ||||
\(540\) | 27.4497 | + | 4.34260i | 1.18125 | + | 0.186876i | ||||
\(541\) | 14.6085 | + | 28.6708i | 0.628069 | + | 1.23266i | 0.957488 | + | 0.288472i | \(0.0931471\pi\) |
−0.329419 | + | 0.944184i | \(0.606853\pi\) | |||||||
\(542\) | 5.28700 | − | 11.8748i | 0.227096 | − | 0.510066i | ||||
\(543\) | −17.8812 | − | 12.0595i | −0.767356 | − | 0.517522i | ||||
\(544\) | 5.52120 | − | 3.58551i | 0.236720 | − | 0.153728i | ||||
\(545\) | −0.0368037 | − | 0.113270i | −0.00157650 | − | 0.00485196i | ||||
\(546\) | −2.33521 | + | 5.05333i | −0.0999378 | + | 0.216263i | ||||
\(547\) | −15.1684 | + | 11.0205i | −0.648552 | + | 0.471201i | −0.862778 | − | 0.505584i | \(-0.831277\pi\) |
0.214226 | + | 0.976784i | \(0.431277\pi\) | |||||||
\(548\) | −20.6231 | − | 1.08081i | −0.880973 | − | 0.0461698i | ||||
\(549\) | 12.0219 | + | 17.8186i | 0.513082 | + | 0.760481i | ||||
\(550\) | −4.78907 | + | 13.8041i | −0.204207 | + | 0.588609i | ||||
\(551\) | 21.0593 | − | 21.0593i | 0.897154 | − | 0.897154i | ||||
\(552\) | 0.213631 | + | 0.00371630i | 0.00909275 | + | 0.000158176i | ||||
\(553\) | 1.01837 | − | 0.390915i | 0.0433054 | − | 0.0166234i | ||||
\(554\) | 2.17500 | + | 13.7324i | 0.0924069 | + | 0.583434i | ||||
\(555\) | −22.7734 | − | 4.01418i | −0.966678 | − | 0.170392i | ||||
\(556\) | 0.728331 | − | 3.42653i | 0.0308881 | − | 0.145317i | ||||
\(557\) | −28.7182 | − | 11.0239i | −1.21683 | − | 0.467097i | −0.336602 | − | 0.941647i | \(-0.609278\pi\) |
−0.880229 | + | 0.474550i | \(0.842611\pi\) | |||||||
\(558\) | −5.35102 | − | 30.3261i | −0.226527 | − | 1.28381i | ||||
\(559\) | 28.3127 | − | 10.9786i | 1.19750 | − | 0.464344i | ||||
\(560\) | − | 4.80755i | − | 0.203156i | ||||||
\(561\) | −2.63705 | − | 3.92876i | −0.111336 | − | 0.165872i | ||||
\(562\) | −13.0559 | + | 22.6134i | −0.550729 | + | 0.953891i | ||||
\(563\) | −38.9034 | + | 8.26917i | −1.63958 | + | 0.348504i | −0.933209 | − | 0.359335i | \(-0.883003\pi\) |
−0.706374 | + | 0.707839i | \(0.749670\pi\) | |||||||
\(564\) | −7.96899 | − | 18.7707i | −0.335555 | − | 0.790388i | ||||
\(565\) | −20.9650 | + | 16.9771i | −0.882003 | + | 0.714232i | ||||
\(566\) | −39.1430 | + | 2.05140i | −1.64530 | + | 0.0862267i | ||||
\(567\) | 0.767040 | + | 3.94110i | 0.0322127 | + | 0.165511i | ||||
\(568\) | −0.00760441 | + | 0.0723512i | −0.000319074 | + | 0.00303579i | ||||
\(569\) | 0.343988 | + | 3.27283i | 0.0144207 | + | 0.137204i | 0.999363 | − | 0.0356775i | \(-0.0113589\pi\) |
−0.984943 | + | 0.172881i | \(0.944692\pi\) | |||||||
\(570\) | 37.0302 | − | 20.5290i | 1.55102 | − | 0.859866i | ||||
\(571\) | 16.4635i | 0.688974i | 0.938791 | + | 0.344487i | \(0.111947\pi\) | ||||
−0.938791 | + | 0.344487i | \(0.888053\pi\) | |||||||
\(572\) | −9.33358 | − | 21.9235i | −0.390256 | − | 0.916668i | ||||
\(573\) | 12.6979 | + | 20.3182i | 0.530461 | + | 0.848803i | ||||
\(574\) | −0.214322 | + | 4.08951i | −0.00894563 | + | 0.170693i | ||||
\(575\) | 18.2097 | − | 1.91392i | 0.759398 | − | 0.0798159i | ||||
\(576\) | 12.6210 | − | 20.2031i | 0.525873 | − | 0.841794i | ||||
\(577\) | −12.3660 | + | 24.2696i | −0.514803 | + | 1.01036i | 0.476551 | + | 0.879147i | \(0.341887\pi\) |
−0.991354 | + | 0.131211i | \(0.958113\pi\) | |||||||
\(578\) | −1.70682 | − | 32.5680i | −0.0709943 | − | 1.35465i | ||||
\(579\) | 40.8936 | + | 14.0781i | 1.69948 | + | 0.585066i | ||||
\(580\) | 5.46713 | − | 34.5181i | 0.227010 | − | 1.43329i | ||||
\(581\) | −0.910471 | − | 4.28343i | −0.0377727 | − | 0.177707i | ||||
\(582\) | 1.80968 | + | 51.7348i | 0.0750138 | + | 2.14447i | ||||
\(583\) | 8.61963 | + | 23.8547i | 0.356989 | + | 0.987962i | ||||
\(584\) | −0.119832 | −0.00495868 | ||||||||
\(585\) | 22.1755 | − | 18.7405i | 0.916844 | − | 0.774824i | ||||
\(586\) | 23.0265 | − | 16.7297i | 0.951217 | − | 0.691099i | ||||
\(587\) | −5.90206 | + | 15.3754i | −0.243604 | + | 0.634611i | −0.999805 | − | 0.0197285i | \(-0.993720\pi\) |
0.756201 | + | 0.654339i | \(0.227053\pi\) | |||||||
\(588\) | 22.0557 | − | 8.02911i | 0.909563 | − | 0.331115i | ||||
\(589\) | −17.4002 | − | 15.6672i | −0.716963 | − | 0.645557i | ||||
\(590\) | 77.8672 | − | 12.3330i | 3.20574 | − | 0.507740i | ||||
\(591\) | −0.466402 | + | 0.619013i | −0.0191852 | + | 0.0254628i | ||||
\(592\) | −10.8762 | + | 16.7478i | −0.447007 | + | 0.688331i | ||||
\(593\) | 10.4722 | + | 10.4722i | 0.430041 | + | 0.430041i | 0.888642 | − | 0.458601i | \(-0.151649\pi\) |
−0.458601 | + | 0.888642i | \(0.651649\pi\) | |||||||
\(594\) | −29.4787 | − | 17.7989i | −1.20952 | − | 0.730297i | ||||
\(595\) | 0.854184 | + | 0.493163i | 0.0350181 | + | 0.0202177i | ||||
\(596\) | 1.42048 | − | 27.1044i | 0.0581851 | − | 1.11024i | ||||
\(597\) | 27.6030 | + | 11.1504i | 1.12971 | + | 0.456357i | ||||
\(598\) | −39.8833 | + | 44.5982i | −1.63095 | + | 1.82376i | ||||
\(599\) | −14.1215 | + | 4.58835i | −0.576989 | + | 0.187475i | −0.582951 | − | 0.812507i | \(-0.698102\pi\) |
0.00596233 | + | 0.999982i | \(0.498102\pi\) | |||||||
\(600\) | −0.0239698 | + | 0.0514113i | −0.000978562 | + | 0.00209886i | ||||
\(601\) | −33.5370 | + | 14.9316i | −1.36800 | + | 0.609074i | −0.953616 | − | 0.301027i | \(-0.902671\pi\) |
−0.414387 | + | 0.910101i | \(0.636004\pi\) | |||||||
\(602\) | 6.85853 | + | 3.05361i | 0.279533 | + | 0.124456i | ||||
\(603\) | −0.169880 | − | 9.66685i | −0.00691805 | − | 0.393664i | ||||
\(604\) | −9.74360 | + | 36.3636i | −0.396461 | + | 1.47961i | ||||
\(605\) | 19.4742 | − | 22.1931i | 0.791737 | − | 0.902279i | ||||
\(606\) | −0.939625 | + | 4.07106i | −0.0381696 | + | 0.165376i | ||||
\(607\) | −35.8686 | + | 7.62411i | −1.45586 | + | 0.309453i | −0.866808 | − | 0.498641i | \(-0.833832\pi\) |
−0.589053 | + | 0.808094i | \(0.700499\pi\) | |||||||
\(608\) | −3.80775 | − | 36.2283i | −0.154425 | − | 1.46925i | ||||
\(609\) | 4.95626 | − | 0.963704i | 0.200838 | − | 0.0390513i | ||||
\(610\) | 36.5474 | − | 11.8750i | 1.47976 | − | 0.480804i | ||||
\(611\) | −20.2836 | − | 6.51456i | −0.820587 | − | 0.263551i | ||||
\(612\) | 2.31208 | + | 4.34714i | 0.0934602 | + | 0.175723i | ||||
\(613\) | 27.0711 | − | 33.4300i | 1.09339 | − | 1.35022i | 0.161755 | − | 0.986831i | \(-0.448285\pi\) |
0.931636 | − | 0.363394i | \(-0.118382\pi\) | |||||||
\(614\) | −38.1143 | + | 34.3183i | −1.53817 | + | 1.38497i | ||||
\(615\) | 10.0259 | − | 18.8587i | 0.404285 | − | 0.760457i | ||||
\(616\) | −0.00828051 | + | 0.0203585i | −0.000333631 | + | 0.000820268i | ||||
\(617\) | −33.8145 | − | 9.06057i | −1.36132 | − | 0.364765i | −0.497019 | − | 0.867739i | \(-0.665572\pi\) |
−0.864301 | + | 0.502975i | \(0.832239\pi\) | |||||||
\(618\) | 52.4684 | + | 0.912733i | 2.11059 | + | 0.0367155i | ||||
\(619\) | −6.50049 | + | 41.0425i | −0.261277 | + | 1.64964i | 0.412687 | + | 0.910873i | \(0.364590\pi\) |
−0.673964 | + | 0.738764i | \(0.735410\pi\) | |||||||
\(620\) | −27.3253 | − | 2.87200i | −1.09741 | − | 0.115342i | ||||
\(621\) | −4.50305 | + | 42.9169i | −0.180701 | + | 1.72220i | ||||
\(622\) | −3.84601 | + | 2.49762i | −0.154211 | + | 0.100146i | ||||
\(623\) | 3.05854 | + | 2.22216i | 0.122538 | + | 0.0890289i | ||||
\(624\) | −7.41319 | − | 23.9515i | −0.296765 | − | 0.958828i | ||||
\(625\) | 9.62985 | − | 29.6376i | 0.385194 | − | 1.18551i | ||||
\(626\) | 6.80274 | + | 25.3882i | 0.271892 | + | 1.01472i | ||||
\(627\) | −25.9945 | + | 3.13193i | −1.03812 | + | 0.125077i | ||||
\(628\) | −16.3010 | + | 9.41140i | −0.650481 | + | 0.375556i | ||||
\(629\) | −1.85999 | − | 3.65043i | −0.0741626 | − | 0.145552i | ||||
\(630\) | 7.15080 | + | 0.624761i | 0.284894 | + | 0.0248911i | ||||
\(631\) | −3.59462 | − | 4.43898i | −0.143099 | − | 0.176713i | 0.700557 | − | 0.713596i | \(-0.252935\pi\) |
−0.843657 | + | 0.536883i | \(0.819602\pi\) | |||||||
\(632\) | −0.0164891 | + | 0.0323617i | −0.000655902 | + | 0.00128728i | ||||
\(633\) | −0.324924 | + | 1.84337i | −0.0129146 | + | 0.0732675i | ||||
\(634\) | 5.54932 | + | 12.4640i | 0.220392 | + | 0.495008i | ||||
\(635\) | −1.38697 | + | 1.71276i | −0.0550400 | + | 0.0679688i | ||||
\(636\) | −6.38671 | − | 25.6093i | −0.253250 | − | 1.01547i | ||||
\(637\) | 8.70994 | − | 22.9223i | 0.345100 | − | 0.908213i | ||||
\(638\) | −22.3894 | + | 37.0667i | −0.886405 | + | 1.46748i | ||||
\(639\) | −14.4233 | − | 2.80183i | −0.570575 | − | 0.110839i | ||||
\(640\) | 0.213429 | + | 0.237037i | 0.00843653 | + | 0.00936971i | ||||
\(641\) | −2.07937 | − | 0.925794i | −0.0821301 | − | 0.0365667i | 0.365260 | − | 0.930905i | \(-0.380980\pi\) |
−0.447391 | + | 0.894339i | \(0.647647\pi\) | |||||||
\(642\) | 2.31813 | + | 2.66639i | 0.0914893 | + | 0.105234i | ||||
\(643\) | 34.6512 | − | 1.81599i | 1.36651 | − | 0.0716158i | 0.645087 | − | 0.764109i | \(-0.276821\pi\) |
0.721424 | + | 0.692493i | \(0.243488\pi\) | |||||||
\(644\) | −7.37207 | + | 0.386354i | −0.290500 | + | 0.0152245i | ||||
\(645\) | −25.6904 | − | 29.5498i | −1.01156 | − | 1.16352i | ||||
\(646\) | 6.85287 | + | 3.05109i | 0.269622 | + | 0.120044i | ||||
\(647\) | 16.3798 | + | 18.1917i | 0.643958 | + | 0.715188i | 0.973432 | − | 0.228977i | \(-0.0735379\pi\) |
−0.329474 | + | 0.944165i | \(0.606871\pi\) | |||||||
\(648\) | −0.106786 | − | 0.0804294i | −0.00419495 | − | 0.00315956i | ||||
\(649\) | −47.4771 | − | 11.0773i | −1.86364 | − | 0.434823i | ||||
\(650\) | −6.50982 | − | 14.4888i | −0.255336 | − | 0.568299i | ||||
\(651\) | −0.960537 | − | 3.85153i | −0.0376464 | − | 0.150953i | ||||
\(652\) | −9.70172 | + | 11.9806i | −0.379949 | + | 0.469197i | ||||
\(653\) | 8.47212 | + | 19.0287i | 0.331540 | + | 0.744650i | 1.00000 | 0.000901968i | \(0.000287105\pi\) | |
−0.668460 | + | 0.743748i | \(0.733046\pi\) | |||||||
\(654\) | 0.0266569 | − | 0.151231i | 0.00104237 | − | 0.00591360i | ||||
\(655\) | −3.30625 | + | 6.48888i | −0.129186 | + | 0.253542i | ||||
\(656\) | −11.6073 | − | 14.3338i | −0.453188 | − | 0.559640i | ||||
\(657\) | 2.10647 | − | 24.1100i | 0.0821813 | − | 0.940619i | ||||
\(658\) | −2.39118 | − | 4.69295i | −0.0932179 | − | 0.182950i | ||||
\(659\) | 30.0583 | − | 17.3542i | 1.17090 | − | 0.676022i | 0.217011 | − | 0.976169i | \(-0.430369\pi\) |
0.953893 | + | 0.300147i | \(0.0970358\pi\) | |||||||
\(660\) | −22.5177 | + | 20.9028i | −0.876499 | + | 0.813642i | ||||
\(661\) | −3.93487 | − | 14.6851i | −0.153049 | − | 0.571186i | −0.999265 | − | 0.0383456i | \(-0.987791\pi\) |
0.846216 | − | 0.532840i | \(-0.178875\pi\) | |||||||
\(662\) | −4.32246 | + | 13.3032i | −0.167997 | + | 0.517042i | ||||
\(663\) | 5.01605 | + | 1.13983i | 0.194807 | + | 0.0442672i | ||||
\(664\) | 0.117962 | + | 0.0857044i | 0.00457781 | + | 0.00332598i | ||||
\(665\) | 4.57724 | − | 2.97249i | 0.177498 | − | 0.115268i | ||||
\(666\) | −23.4975 | − | 18.3537i | −0.910508 | − | 0.711193i | ||||
\(667\) | 53.9688 | + | 5.67235i | 2.08968 | + | 0.219634i | ||||
\(668\) | 4.88988 | − | 30.8735i | 0.189195 | − | 1.19453i | ||||
\(669\) | −12.3467 | − | 0.214781i | −0.477351 | − | 0.00830393i | ||||
\(670\) | −16.6959 | − | 4.47366i | −0.645020 | − | 0.172833i | ||||
\(671\) | −23.7017 | − | 1.71278i | −0.914993 | − | 0.0661213i | ||||
\(672\) | 2.89901 | − | 5.45302i | 0.111832 | − | 0.210355i | ||||
\(673\) | −18.2357 | + | 16.4195i | −0.702934 | + | 0.632925i | −0.941032 | − | 0.338316i | \(-0.890143\pi\) |
0.238098 | + | 0.971241i | \(0.423476\pi\) | |||||||
\(674\) | −31.9457 | + | 39.4496i | −1.23050 | + | 1.51954i | ||||
\(675\) | −9.92251 | − | 5.72642i | −0.381918 | − | 0.220410i | ||||
\(676\) | 23.7348 | + | 10.3751i | 0.912878 | + | 0.399041i | ||||
\(677\) | 5.42273 | − | 1.76195i | 0.208412 | − | 0.0677173i | −0.202950 | − | 0.979189i | \(-0.565053\pi\) |
0.411363 | + | 0.911472i | \(0.365053\pi\) | |||||||
\(678\) | −34.1436 | + | 6.63895i | −1.31128 | + | 0.254967i | ||||
\(679\) | 0.697499 | + | 6.63626i | 0.0267676 | + | 0.254676i | ||||
\(680\) | −0.0321235 | + | 0.00682805i | −0.00123188 | + | 0.000261844i | ||||
\(681\) | −6.36638 | + | 27.5833i | −0.243960 | + | 1.05699i | ||||
\(682\) | 30.0224 | + | 16.0529i | 1.14962 | + | 0.614697i | ||||
\(683\) | 4.77003 | − | 17.8020i | 0.182520 | − | 0.681175i | −0.812628 | − | 0.582783i | \(-0.801964\pi\) |
0.995148 | − | 0.0983913i | \(-0.0313697\pi\) | |||||||
\(684\) | 27.2409 | − | 0.478716i | 1.04158 | − | 0.0183042i | ||||
\(685\) | 25.4142 | + | 11.3151i | 0.971026 | + | 0.432329i | ||||
\(686\) | 11.2387 | − | 5.00377i | 0.429094 | − | 0.191045i | ||||
\(687\) | −14.2233 | + | 30.5066i | −0.542652 | + | 1.16390i | ||||
\(688\) | −32.1587 | + | 10.4490i | −1.22604 | + | 0.398364i | ||||
\(689\) | −24.6108 | − | 12.4349i | −0.937597 | − | 0.473731i | ||||
\(690\) | 71.5315 | + | 28.8957i | 2.72316 | + | 1.10004i | ||||
\(691\) | 1.77059 | − | 33.7848i | 0.0673563 | − | 1.28523i | −0.730720 | − | 0.682678i | \(-0.760815\pi\) |
0.798076 | − | 0.602557i | \(-0.205851\pi\) | |||||||
\(692\) | −10.4265 | − | 6.01972i | −0.396355 | − | 0.228835i | ||||
\(693\) | −3.95054 | − | 2.02390i | −0.150069 | − | 0.0768815i | ||||
\(694\) | −7.10285 | − | 7.10285i | −0.269620 | − | 0.269620i | ||||
\(695\) | −2.57014 | + | 3.95766i | −0.0974909 | + | 0.150123i | ||||
\(696\) | −0.101167 | + | 0.134270i | −0.00383473 | + | 0.00508948i | ||||
\(697\) | 3.73745 | − | 0.591953i | 0.141566 | − | 0.0224218i | ||||
\(698\) | −29.4660 | − | 26.5313i | −1.11530 | − | 1.00422i | ||||
\(699\) | 6.29966 | − | 2.29331i | 0.238275 | − | 0.0867410i | ||||
\(700\) | 0.702352 | − | 1.82969i | 0.0265464 | − | 0.0691557i | ||||
\(701\) | 22.9192 | − | 16.6518i | 0.865646 | − | 0.628928i | −0.0637694 | − | 0.997965i | \(-0.520312\pi\) |
0.929415 | + | 0.369036i | \(0.120312\pi\) | |||||||
\(702\) | 36.5891 | − | 7.91386i | 1.38097 | − | 0.298689i | ||||
\(703\) | −22.6702 | −0.855022 | ||||||||
\(704\) | 8.94966 | + | 24.7681i | 0.337303 | + | 0.933481i | ||||
\(705\) | 0.960322 | + | 27.4534i | 0.0361678 | + | 1.03396i | ||||
\(706\) | 2.11962 | + | 9.97202i | 0.0797729 | + | 0.375302i | ||||
\(707\) | −0.0842503 | + | 0.531936i | −0.00316856 | + | 0.0200055i | ||||
\(708\) | 47.9679 | + | 16.5135i | 1.80274 | + | 0.620615i | ||||
\(709\) | 0.930440 | + | 17.7539i | 0.0349434 | + | 0.666760i | 0.958810 | + | 0.284047i | \(0.0916771\pi\) |
−0.923867 | + | 0.382714i | \(0.874990\pi\) | |||||||
\(710\) | −11.9253 | + | 23.4047i | −0.447548 | + | 0.878362i | ||||
\(711\) | −6.22127 | − | 3.88646i | −0.233316 | − | 0.145754i | ||||
\(712\) | −0.125190 | + | 0.0131580i | −0.00469168 | + | 0.000493115i | ||||
\(713\) | 2.23281 | − | 42.6045i | 0.0836194 | − | 1.59555i | ||||
\(714\) | 0.673981 | + | 1.07845i | 0.0252231 | + | 0.0403601i | ||||
\(715\) | 1.15441 | + | 32.0773i | 0.0431724 | + | 1.19962i | ||||
\(716\) | − | 27.1158i | − | 1.01336i | ||||||
\(717\) | −39.8403 | + | 22.0869i | −1.48786 | + | 0.824850i | ||||
\(718\) | −0.644888 | − | 6.13570i | −0.0240670 | − | 0.228982i | ||||
\(719\) | −2.20805 | + | 21.0082i | −0.0823462 | + | 0.783472i | 0.872948 | + | 0.487814i | \(0.162206\pi\) |
−0.955294 | + | 0.295658i | \(0.904461\pi\) | |||||||
\(720\) | −25.8171 | + | 19.4593i | −0.962145 | + | 0.725207i | ||||
\(721\) | 6.75506 | − | 0.354018i | 0.251572 | − | 0.0131843i | ||||
\(722\) | 2.75382 | − | 2.23000i | 0.102487 | − | 0.0829919i | ||||
\(723\) | −16.2298 | − | 38.2288i | −0.603593 | − | 1.42174i | ||||
\(724\) | −24.2695 | + | 5.15865i | −0.901971 | + | 0.191720i | ||||
\(725\) | −7.20342 | + | 12.4767i | −0.267528 | + | 0.463373i | ||||
\(726\) | 35.6034 | − | 13.4796i | 1.32137 | − | 0.500275i | ||||
\(727\) | − | 46.5047i | − | 1.72476i | −0.506257 | − | 0.862382i | \(-0.668971\pi\) | ||
0.506257 | − | 0.862382i | \(-0.331029\pi\) | |||||||
\(728\) | −0.00863799 | − | 0.0222766i | −0.000320145 | − | 0.000825625i | ||||
\(729\) | 18.0594 | − | 20.0713i | 0.668867 | − | 0.743382i | ||||
\(730\) | −40.3938 | − | 15.5057i | −1.49504 | − | 0.573893i | ||||
\(731\) | 1.44234 | − | 6.78568i | 0.0533469 | − | 0.250977i | ||||
\(732\) | 24.3525 | + | 4.29251i | 0.900094 | + | 0.158656i | ||||
\(733\) | 0.810261 | + | 5.11578i | 0.0299277 | + | 0.188956i | 0.998123 | − | 0.0612392i | \(-0.0195053\pi\) |
−0.968195 | + | 0.250195i | \(0.919505\pi\) | |||||||
\(734\) | −23.8057 | + | 9.13815i | −0.878684 | + | 0.337295i | ||||
\(735\) | −31.6138 | − | 0.549949i | −1.16609 | − | 0.0202852i | ||||
\(736\) | 46.9342 | − | 46.9342i | 1.73002 | − | 1.73002i | ||||
\(737\) | 8.52143 | + | 6.45249i | 0.313891 | + | 0.237680i | ||||
\(738\) | 22.8286 | − | 15.4020i | 0.840333 | − | 0.566957i | ||||
\(739\) | 53.1479 | + | 2.78536i | 1.95508 | + | 0.102461i | 0.988238 | − | 0.152924i | \(-0.0488691\pi\) |
0.966839 | + | 0.255386i | \(0.0822024\pi\) | |||||||
\(740\) | −21.5220 | + | 15.6366i | −0.791163 | + | 0.574814i | ||||
\(741\) | 18.2205 | − | 21.8672i | 0.669348 | − | 0.803312i | ||||
\(742\) | −2.10660 | − | 6.48345i | −0.0773358 | − | 0.238015i | ||||
\(743\) | −18.9640 | + | 12.3154i | −0.695722 | + | 0.451807i | −0.843441 | − | 0.537222i | \(-0.819474\pi\) |
0.147719 | + | 0.989029i | \(0.452807\pi\) | |||||||
\(744\) | 0.109578 | + | 0.0739021i | 0.00401734 | + | 0.00270938i | ||||
\(745\) | −14.8712 | + | 33.4013i | −0.544838 | + | 1.22373i | ||||
\(746\) | −7.98230 | − | 15.6661i | −0.292253 | − | 0.573578i | ||||
\(747\) | −19.3172 | + | 22.2272i | −0.706779 | + | 0.813251i | ||||
\(748\) | −5.35850 | − | 0.957703i | −0.195926 | − | 0.0350171i | ||||
\(749\) | 0.322042 | + | 0.322042i | 0.0117671 | + | 0.0117671i | ||||
\(750\) | 18.6777 | − | 18.0390i | 0.682012 | − | 0.658689i | ||||
\(751\) | 51.7300 | − | 5.43704i | 1.88765 | − | 0.198400i | 0.910879 | − | 0.412673i | \(-0.135405\pi\) |
0.976774 | + | 0.214272i | \(0.0687379\pi\) | |||||||
\(752\) | 22.1467 | + | 8.50131i | 0.807606 | + | 0.310011i | ||||
\(753\) | 32.9432 | + | 27.6393i | 1.20052 | + | 1.00723i | ||||
\(754\) | −9.94384 | − | 46.0141i | −0.362133 | − | 1.67573i | ||||
\(755\) | 29.8084 | − | 41.0278i | 1.08484 | − | 1.49315i | ||||
\(756\) | 3.87422 | + | 2.51497i | 0.140904 | + | 0.0914685i | ||||
\(757\) | −18.5330 | − | 20.5829i | −0.673592 | − | 0.748100i | 0.305349 | − | 0.952240i | \(-0.401227\pi\) |
−0.978942 | + | 0.204141i | \(0.934560\pi\) | |||||||
\(758\) | 6.31303 | + | 10.9345i | 0.229299 | + | 0.397158i | ||||
\(759\) | −34.2423 | − | 33.2177i | −1.24292 | − | 1.20573i | ||||
\(760\) | −0.0470333 | + | 0.175531i | −0.00170608 | + | 0.00636717i | ||||
\(761\) | 9.12350 | + | 5.92487i | 0.330726 | + | 0.214776i | 0.699310 | − | 0.714818i | \(-0.253491\pi\) |
−0.368584 | + | 0.929595i | \(0.620157\pi\) | |||||||
\(762\) | −2.61569 | + | 1.11048i | −0.0947563 | + | 0.0402283i | ||||
\(763\) | 0.00206910 | − | 0.0196862i | 7.49064e−5 | − | 0.000712687i | ||||
\(764\) | 26.9610 | + | 5.73074i | 0.975416 | + | 0.207331i | ||||
\(765\) | −0.809108 | − | 6.58322i | −0.0292534 | − | 0.238017i | ||||
\(766\) | −20.9369 | + | 28.8172i | −0.756482 | + | 1.04121i | ||||
\(767\) | 45.8086 | − | 26.6552i | 1.65405 | − | 0.962463i | ||||
\(768\) | 6.75550 | + | 27.0880i | 0.243768 | + | 0.977454i | ||||
\(769\) | 20.9843 | − | 5.62272i | 0.756713 | − | 0.202761i | 0.140219 | − | 0.990121i | \(-0.455219\pi\) |
0.616494 | + | 0.787360i | \(0.288553\pi\) | |||||||
\(770\) | −5.42556 | + | 5.79114i | −0.195524 | + | 0.208698i | ||||
\(771\) | −1.90634 | − | 1.01347i | −0.0686551 | − | 0.0364993i | ||||
\(772\) | 44.3312 | − | 22.5879i | 1.59552 | − | 0.812956i | ||||
\(773\) | −16.4487 | + | 6.31407i | −0.591619 | + | 0.227101i | −0.635712 | − | 0.771926i | \(-0.719294\pi\) |
0.0440930 | + | 0.999027i | \(0.485960\pi\) | |||||||
\(774\) | −11.3628 | − | 49.1910i | −0.408427 | − | 1.76814i | ||||
\(775\) | 10.0919 | + | 5.14208i | 0.362512 | + | 0.184709i | ||||
\(776\) | −0.165113 | − | 0.148668i | −0.00592720 | − | 0.00533687i | ||||
\(777\) | −3.18641 | − | 2.14899i | −0.114312 | − | 0.0770944i | ||||
\(778\) | −21.6449 | − | 17.5277i | −0.776007 | − | 0.628398i | ||||
\(779\) | 6.47037 | − | 19.9137i | 0.231825 | − | 0.713484i | ||||
\(780\) | 2.21491 | − | 33.3272i | 0.0793066 | − | 1.19330i | ||||
\(781\) | 12.2839 | − | 10.6282i | 0.439554 | − | 0.380307i | ||||
\(782\) | 3.53760 | + | 13.2025i | 0.126504 | + | 0.472121i | ||||
\(783\) | −25.2365 | − | 22.7149i | −0.901879 | − | 0.811765i | ||||
\(784\) | −11.1058 | + | 24.9440i | −0.396636 | + | 0.890859i | ||||
\(785\) | 25.0439 | − | 3.96656i | 0.893854 | − | 0.141573i | ||||
\(786\) | −7.69151 | + | 5.38633i | −0.274347 | + | 0.192124i | ||||
\(787\) | −1.18351 | − | 22.5827i | −0.0421876 | − | 0.804988i | −0.935019 | − | 0.354597i | \(-0.884618\pi\) |
0.892832 | − | 0.450391i | \(-0.148715\pi\) | |||||||
\(788\) | 0.139481 | + | 0.880651i | 0.00496882 | + | 0.0313719i | ||||
\(789\) | −1.85886 | − | 13.2208i | −0.0661773 | − | 0.470674i | ||||
\(790\) | −9.74574 | + | 8.77511i | −0.346738 | + | 0.312204i | ||||
\(791\) | −4.33085 | + | 1.16045i | −0.153987 | + | 0.0412608i | ||||
\(792\) | 0.142844 | − | 0.0379373i | 0.00507575 | − | 0.00134804i | ||||
\(793\) | 20.0212 | − | 16.3256i | 0.710975 | − | 0.579740i | ||||
\(794\) | −26.6757 | − | 8.66746i | −0.946685 | − | 0.307596i | ||||
\(795\) | −4.33094 | + | 35.2899i | −0.153603 | + | 1.25160i | ||||
\(796\) | 31.2869 | − | 13.9298i | 1.10893 | − | 0.493729i | ||||
\(797\) | 16.2886 | − | 18.0903i | 0.576972 | − | 0.640792i | −0.382044 | − | 0.924144i | \(-0.624780\pi\) |
0.959016 | + | 0.283352i | \(0.0914465\pi\) | |||||||
\(798\) | 7.01020 | − | 0.613731i | 0.248158 | − | 0.0217258i | ||||
\(799\) | −3.78230 | + | 3.06285i | −0.133808 | + | 0.108356i | ||||
\(800\) | 6.31501 | + | 16.4512i | 0.223269 | + | 0.581636i | ||||
\(801\) | −0.446704 | − | 25.4192i | −0.0157835 | − | 0.898144i | ||||
\(802\) | −29.0613 | − | 50.3356i | −1.02619 | − | 1.77741i | ||||
\(803\) | 19.5257 | + | 18.2931i | 0.689047 | + | 0.645549i | ||||
\(804\) | −8.13496 | − | 7.58507i | −0.286898 | − | 0.267505i | ||||
\(805\) | 9.45777 | + | 3.07302i | 0.333343 | + | 0.108310i | ||||
\(806\) | −35.7167 | + | 9.70023i | −1.25807 | + | 0.341676i | ||||
\(807\) | −2.81925 | + | 40.3514i | −0.0992421 | + | 1.42044i | ||||
\(808\) | −0.00976664 | − | 0.0150393i | −0.000343589 | − | 0.000529081i | ||||
\(809\) | 2.28537 | − | 10.7518i | 0.0803495 | − | 0.378015i | −0.919538 | − | 0.393001i | \(-0.871437\pi\) |
0.999888 | + | 0.0149860i | \(0.00477037\pi\) | |||||||
\(810\) | −25.5890 | − | 40.9294i | −0.899105 | − | 1.43811i | ||||
\(811\) | 13.0379 | + | 2.06501i | 0.457824 | + | 0.0725122i | 0.381087 | − | 0.924539i | \(-0.375550\pi\) |
0.0767369 | + | 0.997051i | \(0.475550\pi\) | |||||||
\(812\) | 3.16354 | − | 4.87143i | 0.111019 | − | 0.170954i | ||||
\(813\) | −10.7750 | + | 3.29496i | −0.377897 | + | 0.115559i | ||||
\(814\) | 32.0021 | − | 7.90001i | 1.12167 | − | 0.276895i | ||||
\(815\) | 17.9848 | − | 10.3835i | 0.629979 | − | 0.363719i | ||||
\(816\) | −5.50601 | − | 1.57847i | −0.192749 | − | 0.0552575i | ||||
\(817\) | −29.8320 | − | 24.1575i | −1.04369 | − | 0.845165i | ||||
\(818\) | −31.0883 | − | 22.5870i | −1.08698 | − | 0.789736i | ||||
\(819\) | 4.63386 | − | 1.34636i | 0.161920 | − | 0.0470456i | ||||
\(820\) | −7.59273 | − | 23.3680i | −0.265150 | − | 0.816047i | ||||
\(821\) | −18.1060 | + | 47.1678i | −0.631904 | + | 1.64617i | 0.124623 | + | 0.992204i | \(0.460228\pi\) |
−0.756527 | + | 0.653962i | \(0.773106\pi\) | |||||||
\(822\) | 22.0850 | + | 28.2641i | 0.770303 | + | 0.985822i | ||||
\(823\) | 6.99148 | + | 32.8923i | 0.243708 | + | 1.14655i | 0.914398 | + | 0.404817i | \(0.132665\pi\) |
−0.670690 | + | 0.741738i | \(0.734002\pi\) | |||||||
\(824\) | −0.159260 | + | 0.159260i | −0.00554809 | + | 0.00554809i | ||||
\(825\) | 11.7540 | − | 4.71794i | 0.409220 | − | 0.164258i | ||||
\(826\) | 12.6566 | + | 3.39132i | 0.440379 | + | 0.117999i | ||||
\(827\) | 43.7123 | − | 22.2725i | 1.52002 | − | 0.774491i | 0.523056 | − | 0.852298i | \(-0.324792\pi\) |
0.996968 | + | 0.0778074i | \(0.0247919\pi\) | |||||||
\(828\) | 31.9144 | + | 38.0250i | 1.10910 | + | 1.32146i | ||||
\(829\) | 4.18819 | + | 9.40683i | 0.145462 | + | 0.326713i | 0.971552 | − | 0.236825i | \(-0.0761067\pi\) |
−0.826090 | + | 0.563538i | \(0.809440\pi\) | |||||||
\(830\) | 28.6737 | + | 44.1537i | 0.995279 | + | 1.53260i | ||||
\(831\) | 7.74637 | − | 9.23287i | 0.268718 | − | 0.320285i | ||||
\(832\) | −25.5531 | − | 12.9110i | −0.885894 | − | 0.447607i | ||||
\(833\) | −3.29270 | − | 4.53202i | −0.114085 | − | 0.157025i | ||||
\(834\) | −5.32144 | + | 2.95013i | −0.184266 | + | 0.102155i | ||||
\(835\) | −21.0539 | + | 36.4665i | −0.728602 | + | 1.26198i | ||||
\(836\) | −18.1829 | + | 24.0131i | −0.628868 | + | 0.830511i | ||||
\(837\) | −16.7952 | + | 20.7479i | −0.580528 | + | 0.717152i | ||||
\(838\) | −9.87474 | − | 6.41273i | −0.341117 | − | 0.221524i | ||||
\(839\) | −0.00522152 | − | 0.0136025i | −0.000180267 | − | 0.000469611i | 0.933490 | − | 0.358603i | \(-0.116747\pi\) |
−0.933671 | + | 0.358133i | \(0.883413\pi\) | |||||||
\(840\) | −0.0232499 | + | 0.0202133i | −0.000802199 | + | 0.000697425i | ||||
\(841\) | −9.16580 | + | 10.1797i | −0.316062 | + | 0.351023i | ||||
\(842\) | 52.6367 | + | 11.1883i | 1.81398 | + | 0.385573i | ||||
\(843\) | 22.2184 | − | 4.32018i | 0.765242 | − | 0.148795i | ||||
\(844\) | 1.26569 | + | 1.74208i | 0.0435669 | + | 0.0599647i | ||||
\(845\) | −24.8408 | − | 24.5060i | −0.854548 | − | 0.843032i | ||||
\(846\) | −15.5230 | + | 31.8364i | −0.533691 | + | 1.09456i | ||||
\(847\) | 4.45710 | − | 2.05320i | 0.153148 | − | 0.0705487i | ||||
\(848\) | 26.5902 | + | 15.3519i | 0.913112 | + | 0.527185i | ||||
\(849\) | 23.6038 | + | 24.4396i | 0.810081 | + | 0.838764i | ||||
\(850\) | −3.58404 | − | 0.567656i | −0.122932 | − | 0.0194704i | ||||
\(851\) | −25.9954 | − | 32.1017i | −0.891112 | − | 1.10043i | ||||
\(852\) | −13.8454 | + | 9.69588i | −0.474336 | + | 0.332175i | ||||
\(853\) | 9.04920 | + | 4.61080i | 0.309839 | + | 0.157871i | 0.601995 | − | 0.798500i | \(-0.294373\pi\) |
−0.292156 | + | 0.956371i | \(0.594373\pi\) | |||||||
\(854\) | 6.35188 | + | 0.667610i | 0.217357 | + | 0.0228451i | ||||
\(855\) | −34.4897 | − | 12.5486i | −1.17952 | − | 0.429154i | ||||
\(856\) | −0.0151436 | 0.000793642i | −0.000517597 | 2.71261e-5i | ||||||
\(857\) | −20.5452 | −0.701810 | −0.350905 | − | 0.936411i | \(-0.614126\pi\) | ||||
−0.350905 | + | 0.936411i | \(0.614126\pi\) | |||||||
\(858\) | −18.1006 | + | 37.2180i | −0.617944 | + | 1.27060i | ||||
\(859\) | −49.0548 | −1.67373 | −0.836864 | − | 0.547411i | \(-0.815613\pi\) | ||||
−0.836864 | + | 0.547411i | \(0.815613\pi\) | |||||||
\(860\) | −44.9836 | − | 2.35749i | −1.53393 | − | 0.0803897i | ||||
\(861\) | 2.79714 | − | 2.18563i | 0.0953261 | − | 0.0744860i | ||||
\(862\) | 4.55767 | + | 0.479031i | 0.155235 | + | 0.0163159i | ||||
\(863\) | −28.1465 | − | 14.3413i | −0.958117 | − | 0.488185i | −0.0962710 | − | 0.995355i | \(-0.530692\pi\) |
−0.861846 | + | 0.507170i | \(0.830692\pi\) | |||||||
\(864\) | −41.0175 | + | 6.50401i | −1.39545 | + | 0.221271i | ||||
\(865\) | 10.2065 | + | 12.6039i | 0.347030 | + | 0.428547i | ||||
\(866\) | 55.2975 | + | 8.75826i | 1.87908 | + | 0.297618i | ||||
\(867\) | −20.3344 | + | 19.6390i | −0.690592 | + | 0.666976i | ||||
\(868\) | −3.95475 | − | 2.28327i | −0.134233 | − | 0.0774994i | ||||
\(869\) | 7.62700 | − | 2.75593i | 0.258728 | − | 0.0934885i | ||||
\(870\) | −51.4761 | + | 32.1701i | −1.74520 | + | 1.09067i | ||||
\(871\) | −11.5521 | + | 1.25380i | −0.391426 | + | 0.0424834i | ||||
\(872\) | 0.000387403 | 0 | 0.000533214i | 1.31191e−5 | 0 | 1.80569e-5i | ||||
\(873\) | 32.8142 | − | 30.6070i | 1.11059 | − | 1.03589i | ||||
\(874\) | 73.9790 | + | 15.7247i | 2.50238 | + | 0.531897i | ||||
\(875\) | 2.23968 | − | 2.48742i | 0.0757150 | − | 0.0840900i | ||||
\(876\) | −18.2672 | − | 21.0115i | −0.617192 | − | 0.709913i | ||||
\(877\) | −13.6623 | − | 35.5914i | −0.461342 | − | 1.20184i | −0.945142 | − | 0.326659i | \(-0.894077\pi\) |
0.483800 | − | 0.875179i | \(-0.339256\pi\) | |||||||
\(878\) | 19.2699 | + | 12.5140i | 0.650327 | + | 0.422328i | ||||
\(879\) | −24.0400 | − | 5.54858i | −0.810850 | − | 0.187149i | ||||
\(880\) | 0.706881 | − | 35.7344i | 0.0238290 | − | 1.20461i | ||||
\(881\) | 5.41857 | − | 9.38524i | 0.182556 | − | 0.316197i | −0.760194 | − | 0.649696i | \(-0.774896\pi\) |
0.942750 | + | 0.333499i | \(0.108230\pi\) | |||||||
\(882\) | −35.6588 | − | 19.7605i | −1.20069 | − | 0.665370i | ||||
\(883\) | −2.77235 | − | 3.81581i | −0.0932970 | − | 0.128412i | 0.759817 | − | 0.650137i | \(-0.225289\pi\) |
−0.853114 | + | 0.521725i | \(0.825289\pi\) | |||||||
\(884\) | 4.95197 | − | 3.23978i | 0.166553 | − | 0.108966i | ||||
\(885\) | −52.3534 | − | 43.9244i | −1.75984 | − | 1.47650i | ||||
\(886\) | 11.6208 | + | 17.8945i | 0.390410 | + | 0.601178i | ||||
\(887\) | 22.1294 | + | 49.7034i | 0.743032 | + | 1.66888i | 0.743372 | + | 0.668878i | \(0.233225\pi\) |
−0.000339775 | 1.00000i | \(0.500108\pi\) | ||||||||
\(888\) | 0.126723 | − | 0.0178174i | 0.00425256 | − | 0.000597914i | ||||
\(889\) | −0.326372 | + | 0.166295i | −0.0109462 | + | 0.00557735i | ||||
\(890\) | −43.9024 | − | 11.7636i | −1.47161 | − | 0.394317i | ||||
\(891\) | 5.12192 | + | 29.4069i | 0.171591 | + | 0.985168i | ||||
\(892\) | −10.0451 | + | 10.0451i | −0.336334 | + | 0.336334i | ||||
\(893\) | 5.59917 | + | 26.3420i | 0.187369 | + | 0.881503i | ||||
\(894\) | −37.1468 | + | 29.0258i | −1.24237 | + | 0.970767i | ||||
\(895\) | −13.0903 | + | 34.1014i | −0.437560 | + | 1.13988i | ||||
\(896\) | 0.0163818 | + | 0.0504181i | 0.000547279 | + | 0.00168435i | ||||
\(897\) | 51.8578 | + | 0.726170i | 1.73148 | + | 0.0242461i | ||||
\(898\) | 36.1871 | + | 26.2914i | 1.20758 | + | 0.877357i | ||||
\(899\) | 26.0876 | + | 21.1253i | 0.870070 | + | 0.704569i | ||||
\(900\) | −12.6685 | + | 3.63426i | −0.422284 | + | 0.121142i | ||||
\(901\) | −5.45530 | + | 3.14962i | −0.181742 | + | 0.104929i | ||||
\(902\) | −2.19436 | + | 30.3658i | −0.0730641 | + | 1.01107i | ||||
\(903\) | −1.90307 | − | 6.22334i | −0.0633302 | − | 0.207100i | ||||
\(904\) | 0.0813085 | − | 0.125204i | 0.00270428 | − | 0.00416423i | ||||
\(905\) | 33.0122 | + | 5.22862i | 1.09736 | + | 0.173805i | ||||
\(906\) | 58.7685 | − | 28.6676i | 1.95245 | − | 0.952418i | ||||
\(907\) | −2.45028 | + | 11.5277i | −0.0813601 | + | 0.382769i | −0.999922 | − | 0.0125084i | \(-0.996018\pi\) |
0.918562 | + | 0.395278i | \(0.129352\pi\) | |||||||
\(908\) | 17.7369 | + | 27.3124i | 0.588618 | + | 0.906393i | ||||
\(909\) | 3.19757 | − | 1.70066i | 0.106057 | − | 0.0564074i | ||||
\(910\) | −0.0292618 | − | 8.62688i | −0.000970019 | − | 0.285978i | ||||
\(911\) | −12.1291 | − | 3.94100i | −0.401856 | − | 0.130571i | 0.101114 | − | 0.994875i | \(-0.467759\pi\) |
−0.502970 | + | 0.864304i | \(0.667759\pi\) | |||||||
\(912\) | −21.6140 | + | 23.1809i | −0.715712 | + | 0.767598i | ||||
\(913\) | −6.13770 | − | 31.9725i | −0.203128 | − | 1.05814i | ||||
\(914\) | −20.3250 | − | 35.2039i | −0.672291 | − | 1.16444i | ||||
\(915\) | −28.5539 | − | 17.1546i | −0.943964 | − | 0.567115i | ||||
\(916\) | 13.8767 | + | 36.1502i | 0.458501 | + | 1.19443i | ||||
\(917\) | −0.940653 | + | 0.761725i | −0.0310631 | + | 0.0251544i | ||||
\(918\) | 3.06336 | − | 7.98457i | 0.101106 | − | 0.263530i | ||||
\(919\) | −2.35536 | + | 2.61589i | −0.0776960 | + | 0.0862902i | −0.780739 | − | 0.624857i | \(-0.785157\pi\) |
0.703043 | + | 0.711147i | \(0.251824\pi\) | |||||||
\(920\) | −0.302489 | + | 0.134677i | −0.00997278 | + | 0.00444017i | ||||
\(921\) | 44.1268 | + | 5.41544i | 1.45403 | + | 0.178445i | ||||
\(922\) | 7.40514 | + | 2.40608i | 0.243875 | + | 0.0792399i | ||||
\(923\) | −1.78625 | + | 17.5681i | −0.0587952 | + | 0.578260i | ||||
\(924\) | −4.83198 | + | 1.65155i | −0.158961 | + | 0.0543318i | ||||
\(925\) | 10.5928 | − | 2.83832i | 0.348288 | − | 0.0933235i | ||||
\(926\) | 30.0496 | − | 27.0568i | 0.987491 | − | 0.889141i | ||||
\(927\) | −29.2433 | − | 34.8425i | −0.960477 | − | 1.14438i | ||||
\(928\) | 8.16990 | + | 51.5827i | 0.268190 | + | 1.69329i | ||||
\(929\) | 1.03653 | + | 19.7781i | 0.0340074 | + | 0.648899i | 0.961458 | + | 0.274953i | \(0.0886623\pi\) |
−0.927450 | + | 0.373946i | \(0.878004\pi\) | |||||||
\(930\) | 27.3749 | + | 39.0905i | 0.897658 | + | 1.28183i | ||||
\(931\) | −30.6158 | + | 4.84906i | −1.00339 | + | 0.158922i | ||||
\(932\) | 3.13694 | − | 7.04568i | 0.102754 | − | 0.230789i | ||||
\(933\) | 3.82122 | + | 1.09547i | 0.125101 | + | 0.0358642i | ||||
\(934\) | 3.38610 | + | 12.6371i | 0.110797 | + | 0.413499i | ||||
\(935\) | 6.27662 | + | 3.79127i | 0.205267 | + | 0.123988i | ||||
\(936\) | −0.0846640 | + | 0.136555i | −0.00276733 | + | 0.00446344i | ||||
\(937\) | 7.26589 | − | 22.3621i | 0.237366 | − | 0.730539i | −0.759432 | − | 0.650586i | \(-0.774523\pi\) |
0.996799 | − | 0.0799523i | \(-0.0254768\pi\) | |||||||
\(938\) | −2.23258 | − | 1.80791i | −0.0728964 | − | 0.0590303i | ||||
\(939\) | 12.7393 | − | 18.8892i | 0.415732 | − | 0.616426i | ||||
\(940\) | 23.4848 | + | 21.1459i | 0.765991 | + | 0.689702i | ||||
\(941\) | −16.0983 | − | 8.20249i | −0.524790 | − | 0.267394i | 0.171463 | − | 0.985191i | \(-0.445151\pi\) |
−0.696253 | + | 0.717797i | \(0.745151\pi\) | |||||||
\(942\) | 30.9127 | + | 10.6421i | 1.00719 | + | 0.346737i | ||||
\(943\) | 35.6179 | − | 13.6724i | 1.15988 | − | 0.445236i | ||||
\(944\) | −52.5829 | + | 26.7923i | −1.71143 | + | 0.872016i | ||||
\(945\) | −3.65818 | − | 5.03317i | −0.119001 | − | 0.163729i | ||||
\(946\) | 50.5304 | + | 23.7059i | 1.64288 | + | 0.770746i | ||||
\(947\) | −27.3555 | + | 7.32988i | −0.888933 | + | 0.238189i | −0.674257 | − | 0.738496i | \(-0.735536\pi\) |
−0.214676 | + | 0.976685i | \(0.568870\pi\) | |||||||
\(948\) | −8.18797 | + | 2.04200i | −0.265933 | + | 0.0663212i | ||||
\(949\) | −29.0868 | + | 0.0986605i | −0.944197 | + | 0.00320265i | ||||
\(950\) | −11.8022 | + | 16.2443i | −0.382914 | + | 0.527036i | ||||
\(951\) | 4.99751 | − | 10.7189i | 0.162055 | − | 0.347583i | ||||
\(952\) | −0.00533900 | − | 0.00113484i | −0.000173038 | − | 3.67804e-5i | ||||
\(953\) | 5.62138 | − | 53.4839i | 0.182094 | − | 1.73251i | −0.397495 | − | 0.917604i | \(-0.630121\pi\) |
0.579590 | − | 0.814908i | \(-0.303213\pi\) | |||||||
\(954\) | −26.2900 | + | 37.5555i | −0.851171 | + | 1.21590i | ||||
\(955\) | −31.1402 | − | 20.2227i | −1.00767 | − | 0.654390i | ||||
\(956\) | −13.5633 | + | 50.6189i | −0.438669 | + | 1.63713i | ||||
\(957\) | 36.9815 | − | 6.43445i | 1.19544 | − | 0.207996i | ||||
\(958\) | −12.8013 | − | 22.1725i | −0.413591 | − | 0.716360i | ||||
\(959\) | 3.09382 | + | 3.43603i | 0.0999046 | + | 0.110955i | ||||
\(960\) | −4.49676 | + | 36.6411i | −0.145132 | + | 1.18259i | ||||
\(961\) | −2.70915 | + | 3.72883i | −0.0873920 | + | 0.120285i | ||||
\(962\) | −19.4147 | + | 30.1192i | −0.625955 | + | 0.971082i | ||||
\(963\) | 0.425882 | − | 3.03291i | 0.0137239 | − | 0.0977343i | ||||
\(964\) | −44.6045 | − | 17.1221i | −1.43661 | − | 0.551465i | ||||
\(965\) | −66.6563 | + | 7.00586i | −2.14574 | + | 0.225526i | ||||
\(966\) | 8.90752 | + | 9.22292i | 0.286595 | + | 0.296742i | ||||
\(967\) | 31.3623 | + | 31.3623i | 1.00854 | + | 1.00854i | 0.999963 | + | 0.00857908i | \(0.00273084\pi\) |
0.00857908 | + | 0.999963i | \(0.497269\pi\) | |||||||
\(968\) | −0.0645423 | + | 0.150107i | −0.00207447 | + | 0.00482463i | ||||
\(969\) | −1.90150 | − | 6.21821i | −0.0610849 | − | 0.199758i | ||||
\(970\) | −36.4204 | − | 71.4790i | −1.16939 | − | 2.29505i | ||||
\(971\) | −10.2283 | + | 22.9731i | −0.328241 | + | 0.737242i | −0.999994 | − | 0.00353382i | \(-0.998875\pi\) |
0.671753 | + | 0.740776i | \(0.265542\pi\) | |||||||
\(972\) | −2.17588 | − | 30.9847i | −0.0697913 | − | 0.993836i | ||||
\(973\) | −0.657774 | + | 0.427164i | −0.0210873 | + | 0.0136942i | ||||
\(974\) | −7.38478 | − | 22.7280i | −0.236624 | − | 0.728253i | ||||
\(975\) | −5.77586 | + | 12.4988i | −0.184975 | + | 0.400282i | ||||
\(976\) | −23.2722 | + | 16.9082i | −0.744924 | + | 0.541219i | ||||
\(977\) | −51.6613 | − | 2.70746i | −1.65279 | − | 0.0866192i | −0.797014 | − | 0.603961i | \(-0.793588\pi\) |
−0.855779 | + | 0.517342i | \(0.826922\pi\) | |||||||
\(978\) | 26.7599 | − | 0.936063i | 0.855689 | − | 0.0299320i | ||||
\(979\) | 22.4073 | + | 16.9670i | 0.716142 | + | 0.542267i | ||||
\(980\) | −25.7205 | + | 25.7205i | −0.821611 | + | 0.821611i | ||||
\(981\) | −0.114092 | + | 0.0685716i | −0.00364267 | + | 0.00218932i | ||||
\(982\) | −6.70649 | + | 2.57438i | −0.214013 | + | 0.0821518i | ||||
\(983\) | 1.95124 | + | 12.3197i | 0.0622349 | + | 0.392936i | 0.999068 | + | 0.0431596i | \(0.0137424\pi\) |
−0.936833 | + | 0.349776i | \(0.886258\pi\) | |||||||
\(984\) | −0.0205175 | + | 0.116401i | −0.000654072 | + | 0.00371071i | ||||
\(985\) | 0.249724 | − | 1.17486i | 0.00795687 | − | 0.0374341i | ||||
\(986\) | −10.0402 | − | 3.85409i | −0.319746 | − | 0.122739i | ||||
\(987\) | −1.71006 | + | 4.23327i | −0.0544319 | + | 0.134747i | ||||
\(988\) | −3.53317 | − | 32.5533i | −0.112405 | − | 1.03566i | ||||
\(989\) | − | 69.9441i | − | 2.22409i | ||||||
\(990\) | 53.0599 | + | 5.69526i | 1.68635 | + | 0.181007i | ||||
\(991\) | 20.4641 | − | 35.4448i | 0.650062 | − | 1.12594i | −0.333045 | − | 0.942911i | \(-0.608076\pi\) |
0.983107 | − | 0.183030i | \(-0.0585906\pi\) | |||||||
\(992\) | 40.1617 | − | 8.53662i | 1.27513 | − | 0.271038i | ||||
\(993\) | 11.1609 | − | 4.73829i | 0.354180 | − | 0.150365i | ||||
\(994\) | −3.39283 | + | 2.74746i | −0.107614 | + | 0.0871442i | ||||
\(995\) | −46.0716 | + | 2.41451i | −1.46057 | + | 0.0765452i | ||||
\(996\) | 2.95462 | + | 33.7485i | 0.0936208 | + | 1.06936i | ||||
\(997\) | −3.09389 | + | 29.4364i | −0.0979844 | + | 0.932260i | 0.829527 | + | 0.558466i | \(0.188610\pi\) |
−0.927512 | + | 0.373794i | \(0.878057\pi\) | |||||||
\(998\) | 2.15087 | + | 20.4642i | 0.0680846 | + | 0.647782i | ||||
\(999\) | 1.35723 | + | 25.8097i | 0.0429407 | + | 0.816584i |
(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 | 429.2.bv.a.20.10 | ✓ | 832 | |
3.2 | odd | 2 | inner | 429.2.bv.a.20.43 | yes | 832 | |
11.5 | even | 5 | inner | 429.2.bv.a.137.43 | yes | 832 | |
13.2 | odd | 12 | inner | 429.2.bv.a.119.10 | yes | 832 | |
33.5 | odd | 10 | inner | 429.2.bv.a.137.10 | yes | 832 | |
39.2 | even | 12 | inner | 429.2.bv.a.119.43 | yes | 832 | |
143.93 | odd | 60 | inner | 429.2.bv.a.236.43 | yes | 832 | |
429.236 | even | 60 | inner | 429.2.bv.a.236.10 | yes | 832 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bv.a.20.10 | ✓ | 832 | 1.1 | even | 1 | trivial | |
429.2.bv.a.20.43 | yes | 832 | 3.2 | odd | 2 | inner | |
429.2.bv.a.119.10 | yes | 832 | 13.2 | odd | 12 | inner | |
429.2.bv.a.119.43 | yes | 832 | 39.2 | even | 12 | inner | |
429.2.bv.a.137.10 | yes | 832 | 33.5 | odd | 10 | inner | |
429.2.bv.a.137.43 | yes | 832 | 11.5 | even | 5 | inner | |
429.2.bv.a.236.10 | yes | 832 | 429.236 | even | 60 | inner | |
429.2.bv.a.236.43 | yes | 832 | 143.93 | odd | 60 | inner |