Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,3,Mod(5,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([29, 6]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.h (of order \(58\), degree \(28\), 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: | \(9.64580135835\) |
Analytic rank: | \(0\) |
Dimension: | \(1120\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{58})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{58}]$ |
Embedding invariants
Embedding label | 71.15 | ||
Character | \(\chi\) | \(=\) | 354.71 |
Dual form | 354.3.h.a.5.15 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{26}{29}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.451561 | − | 1.34018i | −0.225780 | − | 0.670092i | ||||
\(3\) | 1.69004 | − | 2.47866i | 0.563347 | − | 0.826220i | ||||
\(4\) | −1.59219 | + | 1.21035i | −0.398047 | + | 0.302587i | ||||
\(5\) | −2.80901 | + | 1.11921i | −0.561801 | + | 0.223842i | −0.633712 | − | 0.773569i | \(-0.718470\pi\) |
0.0719108 | + | 0.997411i | \(0.477090\pi\) | |||||||
\(6\) | −4.08502 | − | 1.14570i | −0.680836 | − | 0.190950i | ||||
\(7\) | −7.23899 | − | 3.34911i | −1.03414 | − | 0.478445i | −0.171991 | − | 0.985098i | \(-0.555020\pi\) |
−0.862150 | + | 0.506654i | \(0.830882\pi\) | |||||||
\(8\) | 2.34106 | + | 1.58728i | 0.292632 | + | 0.198410i | ||||
\(9\) | −3.28751 | − | 8.37808i | −0.365279 | − | 0.930898i | ||||
\(10\) | 2.76838 | + | 3.25919i | 0.276838 | + | 0.325919i | ||||
\(11\) | −11.7167 | + | 3.25313i | −1.06516 | + | 0.295739i | −0.755526 | − | 0.655118i | \(-0.772619\pi\) |
−0.309629 | + | 0.950857i | \(0.600205\pi\) | |||||||
\(12\) | 0.309181 | + | 5.99203i | 0.0257651 | + | 0.499336i | ||||
\(13\) | 8.85995 | + | 16.7116i | 0.681535 | + | 1.28551i | 0.946951 | + | 0.321377i | \(0.104146\pi\) |
−0.265417 | + | 0.964134i | \(0.585510\pi\) | |||||||
\(14\) | −1.21959 | + | 11.2139i | −0.0871132 | + | 0.800993i | ||||
\(15\) | −1.97320 | + | 8.85409i | −0.131546 | + | 0.590273i | ||||
\(16\) | 1.07011 | − | 3.85420i | 0.0668821 | − | 0.240887i | ||||
\(17\) | −1.65853 | − | 3.58486i | −0.0975608 | − | 0.210874i | 0.852650 | − | 0.522483i | \(-0.174994\pi\) |
−0.950210 | + | 0.311609i | \(0.899132\pi\) | |||||||
\(18\) | −9.74366 | + | 8.18909i | −0.541314 | + | 0.454949i | ||||
\(19\) | 32.3012 | + | 7.11003i | 1.70006 | + | 0.374212i | 0.955878 | − | 0.293763i | \(-0.0949077\pi\) |
0.744184 | + | 0.667975i | \(0.232839\pi\) | |||||||
\(20\) | 3.11783 | − | 5.18187i | 0.155891 | − | 0.259093i | ||||
\(21\) | −20.5355 | + | 12.2828i | −0.977881 | + | 0.584898i | ||||
\(22\) | 9.65059 | + | 14.2336i | 0.438663 | + | 0.646980i | ||||
\(23\) | −19.9558 | + | 3.27158i | −0.867641 | + | 0.142243i | −0.579131 | − | 0.815234i | \(-0.696608\pi\) |
−0.288510 | + | 0.957477i | \(0.593160\pi\) | |||||||
\(24\) | 7.89081 | − | 3.12012i | 0.328784 | − | 0.130005i | ||||
\(25\) | −11.5120 | + | 10.9047i | −0.460480 | + | 0.436190i | ||||
\(26\) | 18.3959 | − | 19.4203i | 0.707533 | − | 0.746934i | ||||
\(27\) | −26.3225 | − | 6.01068i | −0.974906 | − | 0.222618i | ||||
\(28\) | 15.5794 | − | 3.42929i | 0.556407 | − | 0.122475i | ||||
\(29\) | −9.75748 | + | 28.9592i | −0.336465 | + | 0.998592i | 0.637218 | + | 0.770684i | \(0.280085\pi\) |
−0.973683 | + | 0.227908i | \(0.926811\pi\) | |||||||
\(30\) | 12.7571 | − | 1.35371i | 0.425237 | − | 0.0451236i | ||||
\(31\) | −48.2050 | + | 10.6107i | −1.55500 | + | 0.342281i | −0.907589 | − | 0.419860i | \(-0.862079\pi\) |
−0.647411 | + | 0.762141i | \(0.724148\pi\) | |||||||
\(32\) | −5.64856 | + | 0.306256i | −0.176517 | + | 0.00957050i | ||||
\(33\) | −11.7383 | + | 34.5397i | −0.355707 | + | 1.04666i | ||||
\(34\) | −4.05545 | + | 3.84152i | −0.119278 | + | 0.112986i | ||||
\(35\) | 24.0827 | + | 1.30573i | 0.688078 | + | 0.0373065i | ||||
\(36\) | 15.3747 | + | 9.36043i | 0.427076 | + | 0.260012i | ||||
\(37\) | −28.1831 | − | 41.5670i | −0.761706 | − | 1.12343i | −0.988754 | − | 0.149549i | \(-0.952218\pi\) |
0.227048 | − | 0.973883i | \(-0.427092\pi\) | |||||||
\(38\) | −5.05719 | − | 46.5001i | −0.133084 | − | 1.22369i | ||||
\(39\) | 56.3962 | + | 6.28257i | 1.44606 | + | 0.161092i | ||||
\(40\) | −8.35255 | − | 1.83853i | −0.208814 | − | 0.0459634i | ||||
\(41\) | 25.4489 | + | 4.17214i | 0.620706 | + | 0.101760i | 0.463926 | − | 0.885874i | \(-0.346440\pi\) |
0.156780 | + | 0.987634i | \(0.449889\pi\) | |||||||
\(42\) | 25.7343 | + | 21.9749i | 0.612721 | + | 0.523212i | ||||
\(43\) | 4.05780 | − | 14.6149i | 0.0943675 | − | 0.339881i | −0.901262 | − | 0.433275i | \(-0.857358\pi\) |
0.995629 | + | 0.0933941i | \(0.0297716\pi\) | |||||||
\(44\) | 14.7178 | − | 19.3609i | 0.334495 | − | 0.440020i | ||||
\(45\) | 18.6115 | + | 19.8547i | 0.413589 | + | 0.441215i | ||||
\(46\) | 13.3957 | + | 25.2671i | 0.291212 | + | 0.549284i | ||||
\(47\) | −16.2552 | − | 6.47665i | −0.345855 | − | 0.137801i | 0.190741 | − | 0.981640i | \(-0.438911\pi\) |
−0.536596 | + | 0.843839i | \(0.680290\pi\) | |||||||
\(48\) | −7.74472 | − | 9.16621i | −0.161348 | − | 0.190963i | ||||
\(49\) | 9.46445 | + | 11.1424i | 0.193152 | + | 0.227396i | ||||
\(50\) | 19.8127 | + | 10.5040i | 0.396255 | + | 0.210081i | ||||
\(51\) | −11.6886 | − | 1.94763i | −0.229189 | − | 0.0381887i | ||||
\(52\) | −34.3336 | − | 15.8844i | −0.660261 | − | 0.305469i | ||||
\(53\) | 66.0642 | + | 56.1154i | 1.24649 | + | 1.05878i | 0.995879 | + | 0.0906951i | \(0.0289089\pi\) |
0.250616 | + | 0.968087i | \(0.419367\pi\) | |||||||
\(54\) | 3.83077 | + | 37.9911i | 0.0709401 | + | 0.703539i | ||||
\(55\) | 29.2714 | − | 22.2515i | 0.532207 | − | 0.404573i | ||||
\(56\) | −11.6309 | − | 19.3307i | −0.207695 | − | 0.345192i | ||||
\(57\) | 72.2137 | − | 68.0474i | 1.26691 | − | 1.19381i | ||||
\(58\) | 43.2167 | 0.745115 | ||||||||
\(59\) | −8.66999 | − | 58.3595i | −0.146949 | − | 0.989144i | ||||
\(60\) | −7.57483 | − | 16.4856i | −0.126247 | − | 0.274760i | ||||
\(61\) | −27.2200 | + | 9.17147i | −0.446229 | + | 0.150352i | −0.533440 | − | 0.845838i | \(-0.679101\pi\) |
0.0872112 | + | 0.996190i | \(0.472204\pi\) | |||||||
\(62\) | 35.9878 | + | 59.8122i | 0.580448 | + | 0.964712i | ||||
\(63\) | −4.26086 | + | 71.6591i | −0.0676327 | + | 1.13745i | ||||
\(64\) | 2.96111 | + | 7.43181i | 0.0462673 | + | 0.116122i | ||||
\(65\) | −43.5915 | − | 37.0270i | −0.670639 | − | 0.569646i | ||||
\(66\) | 51.5901 | + | 0.134775i | 0.781668 | + | 0.00204205i | ||||
\(67\) | −60.9785 | + | 89.9365i | −0.910127 | + | 1.34234i | 0.0292942 | + | 0.999571i | \(0.490674\pi\) |
−0.939421 | + | 0.342766i | \(0.888636\pi\) | |||||||
\(68\) | 6.97963 | + | 3.70036i | 0.102642 | + | 0.0544171i | ||||
\(69\) | −25.6169 | + | 54.9926i | −0.371260 | + | 0.796995i | ||||
\(70\) | −9.12489 | − | 32.8649i | −0.130356 | − | 0.469499i | ||||
\(71\) | −116.535 | − | 46.4317i | −1.64133 | − | 0.653967i | −0.647220 | − | 0.762303i | \(-0.724069\pi\) |
−0.994114 | + | 0.108336i | \(0.965448\pi\) | |||||||
\(72\) | 5.60207 | − | 24.8318i | 0.0778066 | − | 0.344886i | ||||
\(73\) | −29.0778 | − | 3.16240i | −0.398326 | − | 0.0433205i | −0.0932357 | − | 0.995644i | \(-0.529721\pi\) |
−0.305090 | + | 0.952324i | \(0.598687\pi\) | |||||||
\(74\) | −42.9810 | + | 56.5406i | −0.580825 | + | 0.764062i | ||||
\(75\) | 7.57339 | + | 46.9638i | 0.100979 | + | 0.626184i | ||||
\(76\) | −60.0351 | + | 27.7752i | −0.789935 | + | 0.365463i | ||||
\(77\) | 95.7122 | + | 15.6912i | 1.24302 | + | 0.203782i | ||||
\(78\) | −17.0465 | − | 78.4182i | −0.218545 | − | 1.00536i | ||||
\(79\) | −84.1459 | − | 50.6289i | −1.06514 | − | 0.640872i | −0.128692 | − | 0.991685i | \(-0.541078\pi\) |
−0.936446 | + | 0.350812i | \(0.885905\pi\) | |||||||
\(80\) | 1.30771 | + | 12.0242i | 0.0163463 | + | 0.150302i | ||||
\(81\) | −59.3845 | + | 55.0861i | −0.733142 | + | 0.680076i | ||||
\(82\) | −5.90030 | − | 35.9902i | −0.0719549 | − | 0.438905i | ||||
\(83\) | 142.006 | + | 7.69934i | 1.71091 | + | 0.0927631i | 0.883382 | − | 0.468654i | \(-0.155261\pi\) |
0.827533 | + | 0.561417i | \(0.189744\pi\) | |||||||
\(84\) | 17.8298 | − | 44.4117i | 0.212260 | − | 0.528711i | ||||
\(85\) | 8.67105 | + | 8.21365i | 0.102012 | + | 0.0966312i | ||||
\(86\) | −21.4190 | + | 1.16130i | −0.249058 | + | 0.0135035i | ||||
\(87\) | 55.2894 | + | 73.1277i | 0.635510 | + | 0.840548i | ||||
\(88\) | −32.5931 | − | 10.9819i | −0.370376 | − | 0.124794i | ||||
\(89\) | 35.8053 | − | 106.266i | 0.402307 | − | 1.19400i | −0.534805 | − | 0.844976i | \(-0.679615\pi\) |
0.937112 | − | 0.349029i | \(-0.113489\pi\) | |||||||
\(90\) | 18.2047 | − | 33.9084i | 0.202274 | − | 0.376760i | ||||
\(91\) | −8.16791 | − | 150.648i | −0.0897573 | − | 1.65548i | ||||
\(92\) | 27.8135 | − | 29.3624i | 0.302321 | − | 0.319156i | ||||
\(93\) | −55.1681 | + | 137.416i | −0.593205 | + | 1.47760i | ||||
\(94\) | −1.33971 | + | 24.7095i | −0.0142522 | + | 0.262867i | ||||
\(95\) | −98.6918 | + | 16.1797i | −1.03886 | + | 0.170313i | ||||
\(96\) | −8.78720 | + | 14.5184i | −0.0915333 | + | 0.151234i | ||||
\(97\) | 77.2459 | − | 8.40099i | 0.796349 | − | 0.0866082i | 0.299107 | − | 0.954220i | \(-0.403311\pi\) |
0.497243 | + | 0.867612i | \(0.334346\pi\) | |||||||
\(98\) | 10.6591 | − | 17.7156i | 0.108766 | − | 0.180771i | ||||
\(99\) | 65.7738 | + | 87.4688i | 0.664382 | + | 0.883524i | ||||
\(100\) | 5.13070 | − | 31.2959i | 0.0513070 | − | 0.312959i | ||||
\(101\) | −20.5989 | − | 44.5238i | −0.203950 | − | 0.440830i | 0.778429 | − | 0.627733i | \(-0.216017\pi\) |
−0.982378 | + | 0.186903i | \(0.940155\pi\) | |||||||
\(102\) | 2.66795 | + | 16.5444i | 0.0261564 | + | 0.162200i | ||||
\(103\) | −121.742 | − | 92.5456i | −1.18196 | − | 0.898501i | −0.185504 | − | 0.982644i | \(-0.559392\pi\) |
−0.996454 | + | 0.0841427i | \(0.973185\pi\) | |||||||
\(104\) | −5.78434 | + | 53.1861i | −0.0556186 | + | 0.511405i | ||||
\(105\) | 43.9373 | − | 57.4862i | 0.418450 | − | 0.547487i | ||||
\(106\) | 45.3730 | − | 113.878i | 0.428047 | − | 1.07432i | ||||
\(107\) | −101.921 | + | 28.2982i | −0.952532 | + | 0.264469i | −0.708829 | − | 0.705381i | \(-0.750776\pi\) |
−0.243703 | + | 0.969850i | \(0.578362\pi\) | |||||||
\(108\) | 49.1853 | − | 22.2892i | 0.455419 | − | 0.206382i | ||||
\(109\) | 33.1341 | − | 62.4975i | 0.303982 | − | 0.573372i | −0.683715 | − | 0.729749i | \(-0.739637\pi\) |
0.987697 | + | 0.156378i | \(0.0499816\pi\) | |||||||
\(110\) | −43.0389 | − | 29.1811i | −0.391263 | − | 0.265283i | ||||
\(111\) | −150.661 | − | 0.393591i | −1.35731 | − | 0.00354587i | ||||
\(112\) | −20.6547 | + | 24.3166i | −0.184417 | + | 0.217112i | ||||
\(113\) | −116.086 | + | 46.2531i | −1.02731 | + | 0.409319i | −0.822067 | − | 0.569391i | \(-0.807179\pi\) |
−0.205247 | + | 0.978710i | \(0.565800\pi\) | |||||||
\(114\) | −123.805 | − | 66.0521i | −1.08601 | − | 0.579405i | ||||
\(115\) | 52.3943 | − | 31.5246i | 0.455602 | − | 0.274127i | ||||
\(116\) | −19.5150 | − | 57.9183i | −0.168232 | − | 0.499296i | ||||
\(117\) | 110.884 | − | 129.169i | 0.947729 | − | 1.10401i | ||||
\(118\) | −74.2974 | + | 37.9722i | −0.629639 | + | 0.321799i | ||||
\(119\) | 31.5054i | 0.264751i | ||||||||
\(120\) | −18.6733 | + | 17.5959i | −0.155610 | + | 0.146633i | ||||
\(121\) | 23.0187 | − | 13.8499i | 0.190237 | − | 0.114462i | ||||
\(122\) | 24.5829 | + | 32.3383i | 0.201499 | + | 0.265068i | ||||
\(123\) | 53.3511 | − | 56.0282i | 0.433749 | − | 0.455514i | ||||
\(124\) | 63.9086 | − | 75.2391i | 0.515392 | − | 0.606767i | ||||
\(125\) | 51.8737 | − | 112.123i | 0.414990 | − | 0.896986i | ||||
\(126\) | 97.9604 | − | 26.6481i | 0.777463 | − | 0.211493i | ||||
\(127\) | 4.13061 | − | 7.79116i | 0.0325245 | − | 0.0613477i | −0.866717 | − | 0.498800i | \(-0.833774\pi\) |
0.899242 | + | 0.437452i | \(0.144119\pi\) | |||||||
\(128\) | 8.62288 | − | 7.32434i | 0.0673662 | − | 0.0572214i | ||||
\(129\) | −29.3675 | − | 34.7577i | −0.227655 | − | 0.269439i | ||||
\(130\) | −29.9387 | + | 75.1406i | −0.230298 | + | 0.578004i | ||||
\(131\) | 91.3820 | − | 48.4477i | 0.697573 | − | 0.369830i | −0.0815775 | − | 0.996667i | \(-0.525996\pi\) |
0.779150 | + | 0.626837i | \(0.215651\pi\) | |||||||
\(132\) | −23.1154 | − | 69.2010i | −0.175117 | − | 0.524250i | ||||
\(133\) | −210.016 | − | 159.650i | −1.57906 | − | 1.20037i | ||||
\(134\) | 148.067 | + | 41.1106i | 1.10498 | + | 0.306796i | ||||
\(135\) | 80.6672 | − | 12.5763i | 0.597535 | − | 0.0931580i | ||||
\(136\) | 1.80744 | − | 11.0249i | 0.0132900 | − | 0.0810656i | ||||
\(137\) | −32.9313 | + | 149.609i | −0.240375 | + | 1.09203i | 0.689537 | + | 0.724250i | \(0.257814\pi\) |
−0.929912 | + | 0.367783i | \(0.880117\pi\) | |||||||
\(138\) | 85.2678 | + | 9.49889i | 0.617883 | + | 0.0688326i | ||||
\(139\) | 20.3950 | − | 2.21809i | 0.146727 | − | 0.0159575i | −0.0344609 | − | 0.999406i | \(-0.510971\pi\) |
0.181188 | + | 0.983449i | \(0.442006\pi\) | |||||||
\(140\) | −39.9246 | + | 27.0695i | −0.285175 | + | 0.193354i | ||||
\(141\) | −43.5254 | + | 29.3452i | −0.308690 | + | 0.208122i | ||||
\(142\) | −9.60451 | + | 177.145i | −0.0676374 | + | 1.24750i | ||||
\(143\) | −158.175 | − | 166.983i | −1.10612 | − | 1.16771i | ||||
\(144\) | −35.8088 | + | 3.70524i | −0.248672 | + | 0.0257308i | ||||
\(145\) | −5.00258 | − | 92.2672i | −0.0345006 | − | 0.636325i | ||||
\(146\) | 8.89218 | + | 40.3976i | 0.0609053 | + | 0.276696i | ||||
\(147\) | 43.6136 | − | 4.62801i | 0.296691 | − | 0.0314831i | ||||
\(148\) | 95.1833 | + | 32.0710i | 0.643131 | + | 0.216696i | ||||
\(149\) | 46.0628 | + | 209.265i | 0.309146 | + | 1.40447i | 0.833290 | + | 0.552836i | \(0.186455\pi\) |
−0.524143 | + | 0.851630i | \(0.675614\pi\) | |||||||
\(150\) | 59.5203 | − | 31.3567i | 0.396802 | − | 0.209045i | ||||
\(151\) | 36.1897 | + | 34.2807i | 0.239667 | + | 0.227025i | 0.798100 | − | 0.602525i | \(-0.205839\pi\) |
−0.558433 | + | 0.829550i | \(0.688597\pi\) | |||||||
\(152\) | 64.3333 | + | 67.9159i | 0.423246 | + | 0.446815i | ||||
\(153\) | −24.5818 | + | 25.6806i | −0.160665 | + | 0.167847i | ||||
\(154\) | −22.1907 | − | 135.357i | −0.144096 | − | 0.878945i | ||||
\(155\) | 123.533 | − | 83.7571i | 0.796984 | − | 0.540368i | ||||
\(156\) | −97.3973 | + | 58.2560i | −0.624342 | + | 0.373436i | ||||
\(157\) | −84.4694 | − | 50.8236i | −0.538022 | − | 0.323717i | 0.220476 | − | 0.975392i | \(-0.429239\pi\) |
−0.758498 | + | 0.651675i | \(0.774066\pi\) | |||||||
\(158\) | −29.8551 | + | 135.633i | −0.188956 | + | 0.858437i | ||||
\(159\) | 250.742 | − | 68.9132i | 1.57700 | − | 0.433417i | ||||
\(160\) | 15.5241 | − | 7.18220i | 0.0970255 | − | 0.0448888i | ||||
\(161\) | 155.416 | + | 43.1511i | 0.965319 | + | 0.268019i | ||||
\(162\) | 100.641 | + | 54.7114i | 0.621242 | + | 0.337725i | ||||
\(163\) | −127.402 | − | 13.8558i | −0.781605 | − | 0.0850047i | −0.291388 | − | 0.956605i | \(-0.594117\pi\) |
−0.490217 | + | 0.871600i | \(0.663083\pi\) | |||||||
\(164\) | −45.5692 | + | 24.1593i | −0.277861 | + | 0.147313i | ||||
\(165\) | −5.68410 | − | 110.160i | −0.0344491 | − | 0.667635i | ||||
\(166\) | −53.8057 | − | 193.791i | −0.324131 | − | 1.16741i | ||||
\(167\) | 72.5415 | − | 61.6173i | 0.434380 | − | 0.368966i | −0.403354 | − | 0.915044i | \(-0.632156\pi\) |
0.837734 | + | 0.546078i | \(0.183880\pi\) | |||||||
\(168\) | −67.5711 | − | 3.84067i | −0.402209 | − | 0.0228611i | ||||
\(169\) | −105.940 | + | 156.249i | −0.626861 | + | 0.924551i | ||||
\(170\) | 7.09230 | − | 15.3298i | 0.0417194 | − | 0.0901751i | ||||
\(171\) | −46.6222 | − | 293.996i | −0.272644 | − | 1.71928i | ||||
\(172\) | 11.2283 | + | 28.1810i | 0.0652810 | + | 0.163843i | ||||
\(173\) | 64.1813 | + | 84.4290i | 0.370990 | + | 0.488029i | 0.943269 | − | 0.332030i | \(-0.107734\pi\) |
−0.572279 | + | 0.820059i | \(0.693940\pi\) | |||||||
\(174\) | 73.0380 | − | 107.120i | 0.419759 | − | 0.615629i | ||||
\(175\) | 119.856 | − | 40.3843i | 0.684894 | − | 0.230768i | ||||
\(176\) | 48.6398i | 0.276362i | ||||||||
\(177\) | −159.306 | − | 77.1401i | −0.900034 | − | 0.435820i | ||||
\(178\) | −158.585 | −0.890926 | ||||||||
\(179\) | −50.8657 | − | 150.964i | −0.284166 | − | 0.843374i | −0.990745 | − | 0.135740i | \(-0.956659\pi\) |
0.706579 | − | 0.707635i | \(-0.250238\pi\) | |||||||
\(180\) | −53.6640 | − | 9.08594i | −0.298133 | − | 0.0504775i | ||||
\(181\) | −148.283 | + | 112.722i | −0.819244 | + | 0.622773i | −0.928538 | − | 0.371236i | \(-0.878934\pi\) |
0.109295 | + | 0.994009i | \(0.465141\pi\) | |||||||
\(182\) | −198.208 | + | 78.9733i | −1.08906 | + | 0.433919i | ||||
\(183\) | −23.2699 | + | 82.9692i | −0.127158 | + | 0.453384i | ||||
\(184\) | −51.9105 | − | 24.0163i | −0.282122 | − | 0.130524i | ||||
\(185\) | 125.689 | + | 85.2191i | 0.679399 | + | 0.460644i | ||||
\(186\) | 209.075 | + | 11.8836i | 1.12406 | + | 0.0638903i | ||||
\(187\) | 31.0946 | + | 36.6074i | 0.166281 | + | 0.195761i | ||||
\(188\) | 33.7203 | − | 9.36239i | 0.179363 | − | 0.0497999i | ||||
\(189\) | 170.417 | + | 131.668i | 0.901680 | + | 0.696657i | ||||
\(190\) | 66.2491 | + | 124.959i | 0.348680 | + | 0.657680i | ||||
\(191\) | 28.5018 | − | 262.070i | 0.149224 | − | 1.37209i | −0.644868 | − | 0.764294i | \(-0.723088\pi\) |
0.794092 | − | 0.607798i | \(-0.207947\pi\) | |||||||
\(192\) | 23.4253 | + | 5.22051i | 0.122007 | + | 0.0271901i | ||||
\(193\) | −9.14625 | + | 32.9418i | −0.0473899 | + | 0.170683i | −0.983458 | − | 0.181135i | \(-0.942023\pi\) |
0.936068 | + | 0.351818i | \(0.114437\pi\) | |||||||
\(194\) | −46.1401 | − | 99.7301i | −0.237835 | − | 0.514073i | ||||
\(195\) | −165.449 | + | 45.4714i | −0.848455 | + | 0.233187i | ||||
\(196\) | −28.5554 | − | 6.28551i | −0.145691 | − | 0.0320689i | ||||
\(197\) | −145.974 | + | 242.610i | −0.740983 | + | 1.23152i | 0.225363 | + | 0.974275i | \(0.427643\pi\) |
−0.966345 | + | 0.257248i | \(0.917184\pi\) | |||||||
\(198\) | 87.5235 | − | 127.646i | 0.442038 | − | 0.644679i | ||||
\(199\) | 165.143 | + | 243.568i | 0.829865 | + | 1.22396i | 0.972203 | + | 0.234141i | \(0.0752278\pi\) |
−0.142338 | + | 0.989818i | \(0.545462\pi\) | |||||||
\(200\) | −44.2591 | + | 7.25591i | −0.221296 | + | 0.0362796i | ||||
\(201\) | 119.866 | + | 303.142i | 0.596348 | + | 1.50817i | ||||
\(202\) | −50.3684 | + | 47.7115i | −0.249349 | + | 0.236196i | ||||
\(203\) | 167.622 | − | 176.956i | 0.825723 | − | 0.871705i | ||||
\(204\) | 20.9678 | − | 11.0464i | 0.102783 | − | 0.0541488i | ||||
\(205\) | −76.1558 | + | 16.7632i | −0.371492 | + | 0.0817715i | ||||
\(206\) | −69.0544 | + | 204.946i | −0.335215 | + | 0.994884i | ||||
\(207\) | 93.0144 | + | 156.436i | 0.449345 | + | 0.755727i | ||||
\(208\) | 73.8912 | − | 16.2647i | 0.355246 | − | 0.0781955i | ||||
\(209\) | −401.593 | + | 21.7738i | −1.92150 | + | 0.104181i | ||||
\(210\) | −96.8824 | − | 32.9256i | −0.461345 | − | 0.156788i | ||||
\(211\) | 126.711 | − | 120.027i | 0.600526 | − | 0.568848i | −0.325863 | − | 0.945417i | \(-0.605655\pi\) |
0.926389 | + | 0.376569i | \(0.122896\pi\) | |||||||
\(212\) | −173.106 | − | 9.38552i | −0.816536 | − | 0.0442713i | ||||
\(213\) | −312.037 | + | 210.379i | −1.46496 | + | 0.987693i | ||||
\(214\) | 83.9483 | + | 123.814i | 0.392282 | + | 0.578572i | ||||
\(215\) | 4.95874 | + | 45.5948i | 0.0230639 | + | 0.212069i | ||||
\(216\) | −52.0818 | − | 55.8524i | −0.241119 | − | 0.258576i | ||||
\(217\) | 384.492 | + | 84.6330i | 1.77185 | + | 0.390014i | ||||
\(218\) | −98.7202 | − | 16.1844i | −0.452845 | − | 0.0742402i | ||||
\(219\) | −56.9812 | + | 66.7293i | −0.260188 | + | 0.304700i | ||||
\(220\) | −19.6734 | + | 70.8571i | −0.0894245 | + | 0.322078i | ||||
\(221\) | 45.2144 | − | 59.4785i | 0.204590 | − | 0.269134i | ||||
\(222\) | 67.5051 | + | 202.091i | 0.304077 | + | 0.910321i | ||||
\(223\) | 85.8201 | + | 161.874i | 0.384843 | + | 0.725892i | 0.997943 | − | 0.0641142i | \(-0.0204222\pi\) |
−0.613099 | + | 0.790006i | \(0.710077\pi\) | |||||||
\(224\) | 41.9155 | + | 16.7007i | 0.187123 | + | 0.0745566i | ||||
\(225\) | 129.207 | + | 60.5990i | 0.574252 | + | 0.269329i | ||||
\(226\) | 114.408 | + | 134.691i | 0.506229 | + | 0.595979i | ||||
\(227\) | 111.561 | + | 59.1458i | 0.491458 | + | 0.260554i | 0.695656 | − | 0.718375i | \(-0.255114\pi\) |
−0.204198 | + | 0.978930i | \(0.565459\pi\) | |||||||
\(228\) | −32.6166 | + | 195.748i | −0.143055 | + | 0.858543i | ||||
\(229\) | 116.671 | + | 53.9779i | 0.509482 | + | 0.235712i | 0.657751 | − | 0.753236i | \(-0.271508\pi\) |
−0.148269 | + | 0.988947i | \(0.547370\pi\) | |||||||
\(230\) | −65.9079 | − | 55.9827i | −0.286556 | − | 0.243403i | ||||
\(231\) | 200.651 | − | 210.719i | 0.868618 | − | 0.912204i | ||||
\(232\) | −68.8090 | + | 52.3073i | −0.296591 | + | 0.225462i | ||||
\(233\) | −164.335 | − | 273.127i | −0.705300 | − | 1.17222i | −0.977695 | − | 0.210031i | \(-0.932643\pi\) |
0.272395 | − | 0.962185i | \(-0.412184\pi\) | |||||||
\(234\) | −223.181 | − | 90.2776i | −0.953767 | − | 0.385802i | ||||
\(235\) | 52.9096 | 0.225147 | ||||||||
\(236\) | 84.4396 | + | 82.4255i | 0.357795 | + | 0.349260i | ||||
\(237\) | −267.702 | + | 123.004i | −1.12954 | + | 0.519005i | ||||
\(238\) | 42.2230 | − | 14.2266i | 0.177408 | − | 0.0597756i | ||||
\(239\) | −36.3927 | − | 60.4851i | −0.152271 | − | 0.253076i | 0.771327 | − | 0.636439i | \(-0.219593\pi\) |
−0.923598 | + | 0.383363i | \(0.874766\pi\) | |||||||
\(240\) | 32.0139 | + | 17.0800i | 0.133391 | + | 0.0711666i | ||||
\(241\) | −9.10443 | − | 22.8504i | −0.0377777 | − | 0.0948149i | 0.908877 | − | 0.417063i | \(-0.136941\pi\) |
−0.946655 | + | 0.322248i | \(0.895561\pi\) | |||||||
\(242\) | −28.9557 | − | 24.5952i | −0.119652 | − | 0.101633i | ||||
\(243\) | 36.1775 | + | 240.292i | 0.148879 | + | 0.988855i | ||||
\(244\) | 32.2386 | − | 47.5483i | 0.132125 | − | 0.194870i | ||||
\(245\) | −39.0564 | − | 20.7064i | −0.159414 | − | 0.0845159i | ||||
\(246\) | −99.1794 | − | 46.2002i | −0.403168 | − | 0.187806i | ||||
\(247\) | 167.367 | + | 602.800i | 0.677598 | + | 2.44049i | ||||
\(248\) | −129.693 | − | 51.6743i | −0.522955 | − | 0.208364i | ||||
\(249\) | 259.080 | − | 338.972i | 1.04048 | − | 1.36133i | ||||
\(250\) | −173.690 | − | 18.8899i | −0.694759 | − | 0.0755596i | ||||
\(251\) | −80.0677 | + | 105.327i | −0.318995 | + | 0.419630i | −0.927444 | − | 0.373963i | \(-0.877999\pi\) |
0.608449 | + | 0.793593i | \(0.291792\pi\) | |||||||
\(252\) | −79.9484 | − | 119.252i | −0.317255 | − | 0.473221i | ||||
\(253\) | 223.173 | − | 103.251i | 0.882106 | − | 0.408106i | ||||
\(254\) | −12.3068 | − | 2.01760i | −0.0484520 | − | 0.00794330i | ||||
\(255\) | 35.0133 | − | 7.61116i | 0.137307 | − | 0.0298477i | ||||
\(256\) | −13.7097 | − | 8.24886i | −0.0535536 | − | 0.0322221i | ||||
\(257\) | −10.3417 | − | 95.0906i | −0.0402402 | − | 0.370002i | −0.996893 | − | 0.0787707i | \(-0.974901\pi\) |
0.956653 | − | 0.291232i | \(-0.0940650\pi\) | |||||||
\(258\) | −33.3205 | + | 55.0530i | −0.129149 | + | 0.213384i | ||||
\(259\) | 64.8047 | + | 395.291i | 0.250211 | + | 1.52622i | ||||
\(260\) | 114.221 | + | 6.19290i | 0.439313 | + | 0.0238188i | ||||
\(261\) | 274.700 | − | 13.4547i | 1.05249 | − | 0.0515506i | ||||
\(262\) | −106.193 | − | 100.592i | −0.405318 | − | 0.383938i | ||||
\(263\) | 325.726 | − | 17.6603i | 1.23850 | − | 0.0671495i | 0.576780 | − | 0.816900i | \(-0.304309\pi\) |
0.661721 | + | 0.749750i | \(0.269826\pi\) | |||||||
\(264\) | −82.3041 | + | 62.2274i | −0.311758 | + | 0.235710i | ||||
\(265\) | −248.380 | − | 83.6889i | −0.937282 | − | 0.315807i | ||||
\(266\) | −119.125 | + | 353.551i | −0.447839 | + | 1.32914i | ||||
\(267\) | −202.886 | − | 268.344i | −0.759872 | − | 1.00503i | ||||
\(268\) | −11.7654 | − | 217.001i | −0.0439009 | − | 0.809705i | ||||
\(269\) | 128.722 | − | 135.890i | 0.478519 | − | 0.505167i | −0.441381 | − | 0.897320i | \(-0.645511\pi\) |
0.919900 | + | 0.392153i | \(0.128270\pi\) | |||||||
\(270\) | −53.2807 | − | 102.430i | −0.197336 | − | 0.379370i | ||||
\(271\) | 3.80032 | − | 70.0927i | 0.0140233 | − | 0.258645i | −0.983112 | − | 0.183005i | \(-0.941417\pi\) |
0.997135 | − | 0.0756394i | \(-0.0240998\pi\) | |||||||
\(272\) | −15.5916 | + | 2.55611i | −0.0573220 | + | 0.00939747i | ||||
\(273\) | −387.210 | − | 234.357i | −1.41835 | − | 0.858449i | ||||
\(274\) | 215.373 | − | 23.4233i | 0.786034 | − | 0.0854864i | ||||
\(275\) | 99.4082 | − | 165.218i | 0.361484 | − | 0.600792i | ||||
\(276\) | −25.7733 | − | 118.564i | −0.0933816 | − | 0.429579i | ||||
\(277\) | −23.4273 | + | 142.900i | −0.0845750 | + | 0.515885i | 0.910231 | + | 0.414100i | \(0.135904\pi\) |
−0.994806 | + | 0.101785i | \(0.967545\pi\) | |||||||
\(278\) | −12.1822 | − | 26.3314i | −0.0438209 | − | 0.0947174i | ||||
\(279\) | 247.372 | + | 368.982i | 0.886638 | + | 1.32252i | ||||
\(280\) | 54.3065 | + | 41.2827i | 0.193952 | + | 0.147438i | ||||
\(281\) | −37.4352 | + | 344.211i | −0.133221 | + | 1.22495i | 0.716451 | + | 0.697637i | \(0.245765\pi\) |
−0.849672 | + | 0.527311i | \(0.823200\pi\) | |||||||
\(282\) | 58.9823 | + | 45.0808i | 0.209157 | + | 0.159861i | ||||
\(283\) | 66.9418 | − | 168.011i | 0.236543 | − | 0.593679i | −0.762003 | − | 0.647573i | \(-0.775784\pi\) |
0.998547 | + | 0.0538940i | \(0.0171633\pi\) | |||||||
\(284\) | 241.744 | − | 67.1198i | 0.851210 | − | 0.236337i | ||||
\(285\) | −126.689 | + | 271.968i | −0.444524 | + | 0.954274i | ||||
\(286\) | −152.362 | + | 287.386i | −0.532735 | + | 1.00485i | ||||
\(287\) | −170.252 | − | 115.433i | −0.593211 | − | 0.402207i | ||||
\(288\) | 21.1356 | + | 46.3173i | 0.0733873 | + | 0.160824i | ||||
\(289\) | 176.994 | − | 208.374i | 0.612436 | − | 0.721016i | ||||
\(290\) | −121.396 | + | 48.3686i | −0.418607 | + | 0.166788i | ||||
\(291\) | 109.726 | − | 205.664i | 0.377064 | − | 0.706750i | ||||
\(292\) | 50.1248 | − | 30.1591i | 0.171660 | − | 0.103285i | ||||
\(293\) | 124.426 | + | 369.283i | 0.424662 | + | 1.26035i | 0.920091 | + | 0.391704i | \(0.128114\pi\) |
−0.495429 | + | 0.868648i | \(0.664989\pi\) | |||||||
\(294\) | −25.8966 | − | 56.3604i | −0.0880835 | − | 0.191702i | ||||
\(295\) | 89.6706 | + | 154.229i | 0.303968 | + | 0.522809i | ||||
\(296\) | − | 142.045i | − | 0.479882i | ||||||
\(297\) | 327.966 | − | 15.2049i | 1.10426 | − | 0.0511951i | ||||
\(298\) | 259.654 | − | 156.229i | 0.871322 | − | 0.524257i | ||||
\(299\) | −231.480 | − | 304.507i | −0.774182 | − | 1.01842i | ||||
\(300\) | −68.9008 | − | 65.6087i | −0.229669 | − | 0.218696i | ||||
\(301\) | −78.3213 | + | 92.2069i | −0.260204 | + | 0.306335i | ||||
\(302\) | 29.6006 | − | 63.9807i | 0.0980153 | − | 0.211857i | ||||
\(303\) | −145.172 | − | 24.1894i | −0.479117 | − | 0.0798331i | ||||
\(304\) | 61.9694 | − | 116.887i | 0.203847 | − | 0.384496i | ||||
\(305\) | 66.1963 | − | 56.2276i | 0.217037 | − | 0.184353i | ||||
\(306\) | 45.5169 | + | 21.3478i | 0.148748 | + | 0.0697640i | ||||
\(307\) | 16.0786 | − | 40.3541i | 0.0523732 | − | 0.131447i | −0.900462 | − | 0.434934i | \(-0.856772\pi\) |
0.952835 | + | 0.303487i | \(0.0981510\pi\) | |||||||
\(308\) | −171.383 | + | 90.8618i | −0.556440 | + | 0.295006i | ||||
\(309\) | −435.138 | + | 145.350i | −1.40821 | + | 0.470389i | ||||
\(310\) | −168.032 | − | 127.735i | −0.542040 | − | 0.412048i | ||||
\(311\) | 261.983 | + | 72.7391i | 0.842388 | + | 0.233888i | 0.661809 | − | 0.749673i | \(-0.269789\pi\) |
0.180579 | + | 0.983560i | \(0.442203\pi\) | |||||||
\(312\) | 122.055 | + | 104.224i | 0.391200 | + | 0.334052i | ||||
\(313\) | 33.0678 | − | 201.705i | 0.105648 | − | 0.644424i | −0.879917 | − | 0.475127i | \(-0.842402\pi\) |
0.985565 | − | 0.169297i | \(-0.0541497\pi\) | |||||||
\(314\) | −29.9699 | + | 136.154i | −0.0954454 | + | 0.433613i | ||||
\(315\) | −68.2328 | − | 206.060i | −0.216612 | − | 0.654158i | ||||
\(316\) | 195.255 | − | 21.2352i | 0.617894 | − | 0.0672000i | ||||
\(317\) | −261.455 | + | 177.271i | −0.824779 | + | 0.559214i | −0.898960 | − | 0.438031i | \(-0.855676\pi\) |
0.0741811 | + | 0.997245i | \(0.476366\pi\) | |||||||
\(318\) | −205.582 | − | 304.922i | −0.646484 | − | 0.958876i | ||||
\(319\) | 20.1177 | − | 371.048i | 0.0630648 | − | 1.16316i | ||||
\(320\) | −16.6355 | − | 17.5619i | −0.0519860 | − | 0.0548810i | ||||
\(321\) | −102.109 | + | 300.453i | −0.318097 | + | 0.935989i | ||||
\(322\) | −12.3494 | − | 227.772i | −0.0383523 | − | 0.707366i | ||||
\(323\) | −28.0841 | − | 127.587i | −0.0869478 | − | 0.395008i | ||||
\(324\) | 27.8778 | − | 159.583i | 0.0860425 | − | 0.492541i | ||||
\(325\) | −284.232 | − | 95.7689i | −0.874560 | − | 0.294673i | ||||
\(326\) | 38.9603 | + | 176.998i | 0.119510 | + | 0.542940i | ||||
\(327\) | −98.9121 | − | 187.752i | −0.302483 | − | 0.574164i | ||||
\(328\) | 52.9551 | + | 50.1618i | 0.161449 | + | 0.152932i | ||||
\(329\) | 95.9799 | + | 101.325i | 0.291732 | + | 0.307978i | ||||
\(330\) | −145.068 | + | 57.3616i | −0.439599 | + | 0.173823i | ||||
\(331\) | −3.59064 | − | 21.9019i | −0.0108479 | − | 0.0661690i | 0.980848 | − | 0.194776i | \(-0.0623978\pi\) |
−0.991696 | + | 0.128607i | \(0.958950\pi\) | |||||||
\(332\) | −235.419 | + | 159.618i | −0.709092 | + | 0.480777i | ||||
\(333\) | −255.599 | + | 372.773i | −0.767565 | + | 1.11944i | ||||
\(334\) | −115.335 | − | 69.3950i | −0.345315 | − | 0.207769i | ||||
\(335\) | 70.6311 | − | 320.880i | 0.210839 | − | 0.957851i | ||||
\(336\) | 25.3652 | + | 92.2920i | 0.0754918 | + | 0.274679i | ||||
\(337\) | −289.394 | + | 133.888i | −0.858735 | + | 0.397293i | −0.799295 | − | 0.600939i | \(-0.794794\pi\) |
−0.0594400 | + | 0.998232i | \(0.518931\pi\) | |||||||
\(338\) | 257.241 | + | 71.4225i | 0.761067 | + | 0.211309i | ||||
\(339\) | −81.5454 | + | 365.909i | −0.240547 | + | 1.07938i | ||||
\(340\) | −23.7473 | − | 2.58267i | −0.0698450 | − | 0.00759610i | ||||
\(341\) | 530.286 | − | 281.140i | 1.55509 | − | 0.824457i | ||||
\(342\) | −372.956 | + | 195.239i | −1.09052 | + | 0.570875i | ||||
\(343\) | 73.3630 | + | 264.230i | 0.213886 | + | 0.770349i | ||||
\(344\) | 32.6974 | − | 27.7734i | 0.0950506 | − | 0.0807367i | ||||
\(345\) | 10.4098 | − | 183.145i | 0.0301733 | − | 0.530856i | ||||
\(346\) | 84.1687 | − | 124.140i | 0.243262 | − | 0.358785i | ||||
\(347\) | 133.685 | − | 288.956i | 0.385261 | − | 0.832727i | −0.613803 | − | 0.789459i | \(-0.710361\pi\) |
0.999064 | − | 0.0432678i | \(-0.0137769\pi\) | |||||||
\(348\) | −176.541 | − | 49.5135i | −0.507302 | − | 0.142280i | ||||
\(349\) | 39.4803 | + | 99.0880i | 0.113124 | + | 0.283920i | 0.974628 | − | 0.223831i | \(-0.0718564\pi\) |
−0.861504 | + | 0.507751i | \(0.830477\pi\) | |||||||
\(350\) | −108.245 | − | 142.394i | −0.309271 | − | 0.406839i | ||||
\(351\) | −132.767 | − | 493.146i | −0.378255 | − | 1.40497i | ||||
\(352\) | 65.1862 | − | 21.9638i | 0.185188 | − | 0.0623971i | ||||
\(353\) | − | 54.8697i | − | 0.155438i | −0.996975 | − | 0.0777192i | \(-0.975236\pi\) | ||
0.996975 | − | 0.0777192i | \(-0.0247637\pi\) | |||||||
\(354\) | −31.4455 | + | 248.333i | −0.0888292 | + | 0.701505i | ||||
\(355\) | 379.314 | 1.06849 | ||||||||
\(356\) | 71.6106 | + | 212.533i | 0.201153 | + | 0.597002i | ||||
\(357\) | 78.0911 | + | 53.2454i | 0.218743 | + | 0.149147i | ||||
\(358\) | −179.351 | + | 136.339i | −0.500979 | + | 0.380835i | ||||
\(359\) | 56.4584 | − | 22.4951i | 0.157266 | − | 0.0626604i | −0.290177 | − | 0.956973i | \(-0.593714\pi\) |
0.447443 | + | 0.894313i | \(0.352335\pi\) | |||||||
\(360\) | 12.0557 | + | 76.0225i | 0.0334881 | + | 0.211174i | ||||
\(361\) | 665.179 | + | 307.744i | 1.84260 | + | 0.852478i | ||||
\(362\) | 218.027 | + | 147.826i | 0.602284 | + | 0.408359i | ||||
\(363\) | 4.57340 | − | 80.4624i | 0.0125989 | − | 0.221660i | ||||
\(364\) | 195.342 | + | 229.974i | 0.536653 | + | 0.631797i | ||||
\(365\) | 85.2191 | − | 23.6610i | 0.233477 | − | 0.0648245i | ||||
\(366\) | 121.702 | − | 6.27965i | 0.332519 | − | 0.0171575i | ||||
\(367\) | 173.539 | + | 327.329i | 0.472858 | + | 0.891905i | 0.999135 | + | 0.0415917i | \(0.0132429\pi\) |
−0.526276 | + | 0.850314i | \(0.676412\pi\) | |||||||
\(368\) | −8.74560 | + | 80.4144i | −0.0237652 | + | 0.218517i | ||||
\(369\) | −48.7092 | − | 226.929i | −0.132003 | − | 0.614985i | ||||
\(370\) | 57.4532 | − | 206.928i | 0.155279 | − | 0.559264i | ||||
\(371\) | −290.301 | − | 627.475i | −0.782482 | − | 1.69131i | ||||
\(372\) | −78.4838 | − | 285.565i | −0.210978 | − | 0.767648i | ||||
\(373\) | −565.850 | − | 124.553i | −1.51702 | − | 0.333922i | −0.623101 | − | 0.782142i | \(-0.714127\pi\) |
−0.893924 | + | 0.448220i | \(0.852058\pi\) | |||||||
\(374\) | 35.0195 | − | 58.2029i | 0.0936351 | − | 0.155623i | ||||
\(375\) | −190.247 | − | 318.070i | −0.507324 | − | 0.848188i | ||||
\(376\) | −27.7741 | − | 40.9637i | −0.0738672 | − | 0.108946i | ||||
\(377\) | −570.406 | + | 93.5133i | −1.51301 | + | 0.248046i | ||||
\(378\) | 99.5056 | − | 287.847i | 0.263242 | − | 0.761500i | ||||
\(379\) | 357.216 | − | 338.373i | 0.942523 | − | 0.892805i | −0.0518596 | − | 0.998654i | \(-0.516515\pi\) |
0.994382 | + | 0.105850i | \(0.0337562\pi\) | |||||||
\(380\) | 137.553 | − | 145.213i | 0.361981 | − | 0.382139i | ||||
\(381\) | −12.3307 | − | 23.4058i | −0.0323641 | − | 0.0614325i | ||||
\(382\) | −364.092 | + | 80.1426i | −0.953120 | + | 0.209797i | ||||
\(383\) | −172.563 | + | 512.149i | −0.450557 | + | 1.33720i | 0.446300 | + | 0.894883i | \(0.352741\pi\) |
−0.896857 | + | 0.442321i | \(0.854155\pi\) | |||||||
\(384\) | −3.58152 | − | 33.7516i | −0.00932688 | − | 0.0878949i | ||||
\(385\) | −286.418 | + | 63.0454i | −0.743943 | + | 0.163754i | ||||
\(386\) | 48.2782 | − | 2.61757i | 0.125073 | − | 0.00678126i | ||||
\(387\) | −135.785 | + | 14.0500i | −0.350865 | + | 0.0363050i | ||||
\(388\) | −112.822 | + | 106.870i | −0.290777 | + | 0.275439i | ||||
\(389\) | 9.87317 | + | 0.535308i | 0.0253809 | + | 0.00137611i | 0.0668250 | − | 0.997765i | \(-0.478713\pi\) |
−0.0414441 | + | 0.999141i | \(0.513196\pi\) | |||||||
\(390\) | 135.650 | + | 201.199i | 0.347821 | + | 0.515894i | ||||
\(391\) | 44.8254 | + | 66.1126i | 0.114643 | + | 0.169086i | ||||
\(392\) | 4.47073 | + | 41.1077i | 0.0114049 | + | 0.104867i | ||||
\(393\) | 34.3541 | − | 308.384i | 0.0874151 | − | 0.784691i | ||||
\(394\) | 391.058 | + | 86.0784i | 0.992533 | + | 0.218473i | ||||
\(395\) | 293.031 | + | 48.0400i | 0.741850 | + | 0.121620i | ||||
\(396\) | −210.592 | − | 59.6574i | −0.531798 | − | 0.150650i | ||||
\(397\) | 4.31251 | − | 15.5322i | 0.0108627 | − | 0.0391240i | −0.957920 | − | 0.287035i | \(-0.907330\pi\) |
0.968783 | + | 0.247911i | \(0.0797441\pi\) | |||||||
\(398\) | 251.854 | − | 331.308i | 0.632798 | − | 0.832432i | ||||
\(399\) | −750.652 | + | 250.742i | −1.88133 | + | 0.628427i | ||||
\(400\) | 29.7099 | + | 56.0389i | 0.0742748 | + | 0.140097i | ||||
\(401\) | 446.440 | + | 177.878i | 1.11332 | + | 0.443586i | 0.852986 | − | 0.521934i | \(-0.174789\pi\) |
0.260330 | + | 0.965520i | \(0.416169\pi\) | |||||||
\(402\) | 352.139 | − | 297.529i | 0.875967 | − | 0.740122i | ||||
\(403\) | −604.416 | − | 711.574i | −1.49979 | − | 1.76569i | ||||
\(404\) | 86.6866 | + | 45.9583i | 0.214571 | + | 0.113758i | ||||
\(405\) | 105.158 | − | 221.201i | 0.259651 | − | 0.546176i | ||||
\(406\) | −312.845 | − | 144.738i | −0.770554 | − | 0.356496i | ||||
\(407\) | 465.436 | + | 395.345i | 1.14358 | + | 0.971364i | ||||
\(408\) | −24.2724 | − | 23.1126i | −0.0594911 | − | 0.0566486i | ||||
\(409\) | 126.239 | − | 95.9641i | 0.308652 | − | 0.234631i | −0.439368 | − | 0.898307i | \(-0.644798\pi\) |
0.748020 | + | 0.663676i | \(0.231005\pi\) | |||||||
\(410\) | 56.8547 | + | 94.4932i | 0.138670 | + | 0.230471i | ||||
\(411\) | 315.173 | + | 334.470i | 0.766845 | + | 0.813796i | ||||
\(412\) | 305.848 | 0.742349 | ||||||||
\(413\) | −132.691 | + | 451.500i | −0.321285 | + | 1.09322i | ||||
\(414\) | 167.651 | − | 195.297i | 0.404954 | − | 0.471731i | ||||
\(415\) | −407.513 | + | 137.307i | −0.981958 | + | 0.330860i | ||||
\(416\) | −55.1640 | − | 91.6833i | −0.132606 | − | 0.220392i | ||||
\(417\) | 28.9705 | − | 54.3009i | 0.0694736 | − | 0.130218i | ||||
\(418\) | 210.525 | + | 528.377i | 0.503647 | + | 1.26406i | ||||
\(419\) | −304.057 | − | 258.268i | −0.725672 | − | 0.616392i | 0.206483 | − | 0.978450i | \(-0.433798\pi\) |
−0.932155 | + | 0.362059i | \(0.882074\pi\) | |||||||
\(420\) | −0.378039 | + | 144.708i | −0.000900093 | + | 0.344543i | ||||
\(421\) | −156.193 | + | 230.367i | −0.371005 | + | 0.547191i | −0.966665 | − | 0.256046i | \(-0.917580\pi\) |
0.595660 | + | 0.803237i | \(0.296891\pi\) | |||||||
\(422\) | −218.076 | − | 115.616i | −0.516767 | − | 0.273973i | ||||
\(423\) | −0.822811 | + | 157.479i | −0.00194518 | + | 0.372291i | ||||
\(424\) | 65.5894 | + | 236.232i | 0.154692 | + | 0.557150i | ||||
\(425\) | 58.1850 | + | 23.1830i | 0.136906 | + | 0.0545483i | ||||
\(426\) | 422.850 | + | 323.188i | 0.992605 | + | 0.758658i | ||||
\(427\) | 227.761 | + | 24.7705i | 0.533399 | + | 0.0580106i | ||||
\(428\) | 128.026 | − | 168.416i | 0.299127 | − | 0.393495i | ||||
\(429\) | −681.215 | + | 109.853i | −1.58791 | + | 0.256067i | ||||
\(430\) | 58.8663 | − | 27.2345i | 0.136898 | − | 0.0633359i | ||||
\(431\) | −538.679 | − | 88.3119i | −1.24983 | − | 0.204900i | −0.499708 | − | 0.866194i | \(-0.666559\pi\) |
−0.750127 | + | 0.661294i | \(0.770008\pi\) | |||||||
\(432\) | −51.3344 | + | 95.0199i | −0.118830 | + | 0.219953i | ||||
\(433\) | −472.354 | − | 284.206i | −1.09089 | − | 0.656365i | −0.147836 | − | 0.989012i | \(-0.547231\pi\) |
−0.943052 | + | 0.332647i | \(0.892058\pi\) | |||||||
\(434\) | −60.1975 | − | 553.507i | −0.138704 | − | 1.27536i | ||||
\(435\) | −237.154 | − | 143.536i | −0.545181 | − | 0.329967i | ||||
\(436\) | 22.8881 | + | 139.611i | 0.0524957 | + | 0.320210i | ||||
\(437\) | −667.855 | − | 36.2101i | −1.52827 | − | 0.0828606i | ||||
\(438\) | 115.160 | + | 46.2329i | 0.262922 | + | 0.105555i | ||||
\(439\) | −411.182 | − | 389.492i | −0.936633 | − | 0.887226i | 0.0571720 | − | 0.998364i | \(-0.481792\pi\) |
−0.993805 | + | 0.111139i | \(0.964550\pi\) | |||||||
\(440\) | 103.845 | − | 5.63033i | 0.236012 | − | 0.0127962i | ||||
\(441\) | 62.2375 | − | 115.925i | 0.141128 | − | 0.262868i | ||||
\(442\) | −100.129 | − | 33.7374i | −0.226537 | − | 0.0763291i | ||||
\(443\) | 170.788 | − | 506.881i | 0.385527 | − | 1.14420i | −0.562715 | − | 0.826651i | \(-0.690243\pi\) |
0.948241 | − | 0.317551i | \(-0.102860\pi\) | |||||||
\(444\) | 240.357 | − | 181.726i | 0.541344 | − | 0.409292i | ||||
\(445\) | 18.3571 | + | 338.577i | 0.0412519 | + | 0.760847i | ||||
\(446\) | 178.188 | − | 188.111i | 0.399524 | − | 0.421773i | ||||
\(447\) | 596.546 | + | 239.493i | 1.33456 | + | 0.535779i | ||||
\(448\) | 3.45457 | − | 63.7159i | 0.00771110 | − | 0.142223i | ||||
\(449\) | 454.006 | − | 74.4304i | 1.01115 | − | 0.165769i | 0.366637 | − | 0.930364i | \(-0.380509\pi\) |
0.644511 | + | 0.764595i | \(0.277061\pi\) | |||||||
\(450\) | 22.8691 | − | 200.525i | 0.0508202 | − | 0.445611i | ||||
\(451\) | −311.750 | + | 33.9049i | −0.691243 | + | 0.0751772i | ||||
\(452\) | 128.849 | − | 214.149i | 0.285064 | − | 0.473780i | ||||
\(453\) | 146.132 | − | 31.7662i | 0.322588 | − | 0.0701240i | ||||
\(454\) | 28.8898 | − | 176.220i | 0.0636339 | − | 0.388150i | ||||
\(455\) | 191.551 | + | 414.031i | 0.420991 | + | 0.909957i | ||||
\(456\) | 277.067 | − | 44.6798i | 0.607602 | − | 0.0979820i | ||||
\(457\) | −9.34338 | − | 7.10265i | −0.0204450 | − | 0.0155419i | 0.594902 | − | 0.803798i | \(-0.297191\pi\) |
−0.615347 | + | 0.788256i | \(0.710984\pi\) | |||||||
\(458\) | 19.6562 | − | 180.735i | 0.0429174 | − | 0.394619i | ||||
\(459\) | 22.1092 | + | 104.331i | 0.0481682 | + | 0.227301i | ||||
\(460\) | −45.2657 | + | 113.608i | −0.0984037 | + | 0.246975i | ||||
\(461\) | 39.4431 | − | 10.9513i | 0.0855598 | − | 0.0237556i | −0.224485 | − | 0.974478i | \(-0.572070\pi\) |
0.310044 | + | 0.950722i | \(0.399656\pi\) | |||||||
\(462\) | −373.008 | − | 173.757i | −0.807378 | − | 0.376096i | ||||
\(463\) | 321.891 | − | 607.150i | 0.695228 | − | 1.31134i | −0.244578 | − | 0.969630i | \(-0.578649\pi\) |
0.939806 | − | 0.341709i | \(-0.111006\pi\) | |||||||
\(464\) | 101.173 | + | 68.5969i | 0.218045 | + | 0.147838i | ||||
\(465\) | 1.16971 | − | 447.748i | 0.00251550 | − | 0.962899i | ||||
\(466\) | −291.833 | + | 343.572i | −0.626250 | + | 0.737279i | ||||
\(467\) | −453.840 | + | 180.826i | −0.971821 | + | 0.387209i | −0.801378 | − | 0.598159i | \(-0.795899\pi\) |
−0.170443 | + | 0.985368i | \(0.554520\pi\) | |||||||
\(468\) | −20.2087 | + | 339.870i | −0.0431810 | + | 0.726218i | ||||
\(469\) | 742.630 | − | 446.826i | 1.58343 | − | 0.952720i | ||||
\(470\) | −23.8919 | − | 70.9086i | −0.0508338 | − | 0.150869i | ||||
\(471\) | −268.731 | + | 123.477i | −0.570555 | + | 0.262159i | ||||
\(472\) | 72.3357 | − | 150.385i | 0.153254 | − | 0.318612i | ||||
\(473\) | 184.439i | 0.389934i | ||||||||
\(474\) | 285.732 | + | 303.226i | 0.602810 | + | 0.639717i | ||||
\(475\) | −449.384 | + | 270.385i | −0.946072 | + | 0.569233i | ||||
\(476\) | −38.1325 | − | 50.1624i | −0.0801103 | − | 0.105383i | ||||
\(477\) | 252.953 | − | 737.972i | 0.530299 | − | 1.54711i | ||||
\(478\) | −64.6276 | + | 76.0855i | −0.135204 | + | 0.159175i | ||||
\(479\) | 246.061 | − | 531.851i | 0.513697 | − | 1.11034i | −0.461122 | − | 0.887337i | \(-0.652553\pi\) |
0.974818 | − | 0.223000i | \(-0.0715850\pi\) | |||||||
\(480\) | 8.43410 | − | 50.6171i | 0.0175710 | − | 0.105452i | ||||
\(481\) | 444.952 | − | 839.268i | 0.925055 | − | 1.74484i | ||||
\(482\) | −26.5125 | + | 22.5200i | −0.0550053 | + | 0.0467219i | ||||
\(483\) | 369.617 | − | 312.297i | 0.765253 | − | 0.646578i | ||||
\(484\) | −19.8869 | + | 49.9122i | −0.0410885 | + | 0.103124i | ||||
\(485\) | −207.582 | + | 110.053i | −0.428003 | + | 0.226913i | ||||
\(486\) | 305.699 | − | 156.991i | 0.629010 | − | 0.323026i | ||||
\(487\) | 692.766 | + | 526.627i | 1.42252 | + | 1.08137i | 0.983096 | + | 0.183088i | \(0.0586094\pi\) |
0.439421 | + | 0.898281i | \(0.355184\pi\) | |||||||
\(488\) | −78.2812 | − | 21.7347i | −0.160412 | − | 0.0445382i | ||||
\(489\) | −249.658 | + | 292.369i | −0.510548 | + | 0.597891i | ||||
\(490\) | −10.1140 | + | 61.6930i | −0.0206409 | + | 0.125904i | ||||
\(491\) | −165.289 | + | 750.918i | −0.336638 | + | 1.52936i | 0.439175 | + | 0.898401i | \(0.355271\pi\) |
−0.775814 | + | 0.630962i | \(0.782660\pi\) | |||||||
\(492\) | −17.1313 | + | 153.781i | −0.0348197 | + | 0.312563i | ||||
\(493\) | 119.998 | − | 13.0505i | 0.243403 | − | 0.0264717i | ||||
\(494\) | 732.287 | − | 496.503i | 1.48236 | − | 1.00507i | ||||
\(495\) | −282.655 | − | 172.086i | −0.571021 | − | 0.347648i | ||||
\(496\) | −10.6890 | + | 197.146i | −0.0215503 | + | 0.397472i | ||||
\(497\) | 688.089 | + | 726.406i | 1.38448 | + | 1.46158i | ||||
\(498\) | −571.275 | − | 194.148i | −1.14714 | − | 0.389856i | ||||
\(499\) | 10.3962 | + | 191.746i | 0.0208340 | + | 0.384261i | 0.990292 | + | 0.139003i | \(0.0443899\pi\) |
−0.969458 | + | 0.245258i | \(0.921127\pi\) | |||||||
\(500\) | 53.1155 | + | 241.306i | 0.106231 | + | 0.482613i | ||||
\(501\) | −30.1302 | − | 283.942i | −0.0601400 | − | 0.566750i | ||||
\(502\) | 177.313 | + | 59.7438i | 0.353214 | + | 0.119012i | ||||
\(503\) | −29.6620 | − | 134.756i | −0.0589701 | − | 0.267904i | 0.937906 | − | 0.346891i | \(-0.112763\pi\) |
−0.996876 | + | 0.0789868i | \(0.974831\pi\) | |||||||
\(504\) | −123.718 | + | 160.995i | −0.245472 | + | 0.319434i | ||||
\(505\) | 107.694 | + | 102.013i | 0.213255 | + | 0.202006i | ||||
\(506\) | −239.151 | − | 252.469i | −0.472631 | − | 0.498950i | ||||
\(507\) | 208.246 | + | 526.656i | 0.410742 | + | 1.03877i | ||||
\(508\) | 2.85332 | + | 17.4045i | 0.00561676 | + | 0.0342607i | ||||
\(509\) | −314.085 | + | 212.955i | −0.617063 | + | 0.418379i | −0.829272 | − | 0.558845i | \(-0.811245\pi\) |
0.212209 | + | 0.977224i | \(0.431934\pi\) | |||||||
\(510\) | −26.0110 | − | 43.4874i | −0.0510019 | − | 0.0852693i | ||||
\(511\) | 199.902 | + | 120.277i | 0.391198 | + | 0.235376i | ||||
\(512\) | −4.86423 | + | 22.0984i | −0.00950044 | + | 0.0431609i | ||||
\(513\) | −807.510 | − | 381.305i | −1.57409 | − | 0.743285i | ||||
\(514\) | −122.769 | + | 56.7990i | −0.238850 | + | 0.110504i | ||||
\(515\) | 445.551 | + | 123.707i | 0.865148 | + | 0.240207i | ||||
\(516\) | 88.8274 | + | 19.7958i | 0.172146 | + | 0.0383640i | ||||
\(517\) | 211.526 | + | 23.0049i | 0.409142 | + | 0.0444969i | ||||
\(518\) | 500.500 | − | 265.348i | 0.966216 | − | 0.512255i | ||||
\(519\) | 317.740 | − | 16.3950i | 0.612216 | − | 0.0315895i | ||||
\(520\) | −43.2782 | − | 155.874i | −0.0832273 | − | 0.299758i | ||||
\(521\) | 327.091 | − | 277.834i | 0.627814 | − | 0.533270i | −0.276021 | − | 0.961152i | \(-0.589016\pi\) |
0.903835 | + | 0.427882i | \(0.140740\pi\) | |||||||
\(522\) | −142.076 | − | 362.073i | −0.272175 | − | 0.693626i | ||||
\(523\) | −17.1454 | + | 25.2875i | −0.0327827 | + | 0.0483509i | −0.843727 | − | 0.536772i | \(-0.819643\pi\) |
0.810945 | + | 0.585123i | \(0.198954\pi\) | |||||||
\(524\) | −86.8586 | + | 187.742i | −0.165761 | + | 0.358286i | ||||
\(525\) | 102.463 | − | 365.335i | 0.195168 | − | 0.695875i | ||||
\(526\) | −170.753 | − | 428.558i | −0.324625 | − | 0.814748i | ||||
\(527\) | 117.988 | + | 155.210i | 0.223885 | + | 0.294516i | ||||
\(528\) | 120.561 | + | 82.2032i | 0.228336 | + | 0.155688i | ||||
\(529\) | −113.780 | + | 38.3369i | −0.215085 | + | 0.0724704i | ||||
\(530\) | 370.665i | 0.699368i | ||||||||
\(531\) | −460.438 | + | 264.496i | −0.867115 | + | 0.498108i | ||||
\(532\) | 527.615 | 0.991758 | ||||||||
\(533\) | 155.753 | + | 462.259i | 0.292220 | + | 0.867277i | ||||
\(534\) | −268.015 | + | 393.078i | −0.501901 | + | 0.736101i | ||||
\(535\) | 254.625 | − | 193.561i | 0.475934 | − | 0.361796i | ||||
\(536\) | −285.508 | + | 113.757i | −0.532665 | + | 0.212233i | ||||
\(537\) | −460.154 | − | 129.057i | −0.856897 | − | 0.240329i | ||||
\(538\) | −240.243 | − | 111.148i | −0.446548 | − | 0.206595i | ||||
\(539\) | −147.140 | − | 99.7633i | −0.272987 | − | 0.185090i | ||||
\(540\) | −113.215 | + | 117.659i | −0.209658 | + | 0.217888i | ||||
\(541\) | 130.583 | + | 153.734i | 0.241373 | + | 0.284166i | 0.869488 | − | 0.493955i | \(-0.164449\pi\) |
−0.628115 | + | 0.778121i | \(0.716173\pi\) | |||||||
\(542\) | −95.6532 | + | 26.5580i | −0.176482 | + | 0.0490000i | ||||
\(543\) | 28.7946 | + | 558.048i | 0.0530287 | + | 1.02771i | ||||
\(544\) | 10.4662 | + | 19.7414i | 0.0192394 | + | 0.0362893i | ||||
\(545\) | −23.1260 | + | 212.640i | −0.0424330 | + | 0.390165i | ||||
\(546\) | −139.232 | + | 624.759i | −0.255004 | + | 1.14425i | ||||
\(547\) | 106.707 | − | 384.323i | 0.195076 | − | 0.702602i | −0.799689 | − | 0.600415i | \(-0.795002\pi\) |
0.994765 | − | 0.102187i | \(-0.0325840\pi\) | |||||||
\(548\) | −128.646 | − | 278.063i | −0.234755 | − | 0.507414i | ||||
\(549\) | 166.325 | + | 197.900i | 0.302961 | + | 0.360473i | ||||
\(550\) | −266.311 | − | 58.6195i | −0.484202 | − | 0.106581i | ||||
\(551\) | −521.078 | + | 866.039i | −0.945696 | + | 1.57176i | ||||
\(552\) | −147.259 | + | 88.0798i | −0.266774 | + | 0.159565i | ||||
\(553\) | 439.569 | + | 648.316i | 0.794881 | + | 1.17236i | ||||
\(554\) | 202.091 | − | 33.1312i | 0.364786 | − | 0.0598036i | ||||
\(555\) | 423.649 | − | 167.516i | 0.763331 | − | 0.301831i | ||||
\(556\) | −29.7880 | + | 28.2167i | −0.0535755 | + | 0.0507494i | ||||
\(557\) | 337.490 | − | 356.284i | 0.605907 | − | 0.639648i | −0.348800 | − | 0.937197i | \(-0.613411\pi\) |
0.954706 | + | 0.297549i | \(0.0961693\pi\) | |||||||
\(558\) | 382.801 | − | 498.142i | 0.686023 | − | 0.892727i | ||||
\(559\) | 280.191 | − | 61.6746i | 0.501235 | − | 0.110330i | ||||
\(560\) | 30.8038 | − | 91.4224i | 0.0550068 | − | 0.163254i | ||||
\(561\) | 143.288 | − | 15.2049i | 0.255416 | − | 0.0271032i | ||||
\(562\) | 478.210 | − | 105.262i | 0.850907 | − | 0.187299i | ||||
\(563\) | −919.776 | + | 49.8688i | −1.63371 | + | 0.0885769i | −0.847990 | − | 0.530011i | \(-0.822188\pi\) |
−0.785715 | + | 0.618588i | \(0.787705\pi\) | |||||||
\(564\) | 33.7825 | − | 99.4039i | 0.0598981 | − | 0.176248i | ||||
\(565\) | 274.321 | − | 259.850i | 0.485524 | − | 0.459912i | ||||
\(566\) | −255.394 | − | 13.8471i | −0.451227 | − | 0.0244648i | ||||
\(567\) | 614.373 | − | 199.882i | 1.08355 | − | 0.352526i | ||||
\(568\) | −199.115 | − | 293.672i | −0.350554 | − | 0.517029i | ||||
\(569\) | −57.9757 | − | 533.077i | −0.101890 | − | 0.936867i | −0.927803 | − | 0.373069i | \(-0.878305\pi\) |
0.825913 | − | 0.563798i | \(-0.190660\pi\) | |||||||
\(570\) | 421.695 | + | 46.9771i | 0.739816 | + | 0.0824160i | ||||
\(571\) | −1105.13 | − | 243.258i | −1.93544 | − | 0.426022i | −0.996678 | − | 0.0814437i | \(-0.974047\pi\) |
−0.938758 | − | 0.344578i | \(-0.888022\pi\) | |||||||
\(572\) | 453.951 | + | 74.4215i | 0.793620 | + | 0.130107i | ||||
\(573\) | −601.412 | − | 513.555i | −1.04958 | − | 0.896256i | ||||
\(574\) | −77.8232 | + | 280.294i | −0.135580 | + | 0.488317i | ||||
\(575\) | 194.055 | − | 255.275i | 0.337487 | − | 0.443956i | ||||
\(576\) | 52.5297 | − | 49.2406i | 0.0911973 | − | 0.0854871i | ||||
\(577\) | 221.575 | + | 417.935i | 0.384013 | + | 0.724325i | 0.997880 | − | 0.0650846i | \(-0.0207317\pi\) |
−0.613867 | + | 0.789409i | \(0.710387\pi\) | |||||||
\(578\) | −359.183 | − | 143.111i | −0.621423 | − | 0.247598i | ||||
\(579\) | 66.1940 | + | 78.3435i | 0.114325 | + | 0.135308i | ||||
\(580\) | 119.640 | + | 140.852i | 0.206277 | + | 0.242848i | ||||
\(581\) | −1002.19 | − | 531.329i | −1.72494 | − | 0.914508i | ||||
\(582\) | −325.176 | − | 54.1826i | −0.558721 | − | 0.0930972i | ||||
\(583\) | −956.606 | − | 442.573i | −1.64083 | − | 0.759130i | ||||
\(584\) | −63.0532 | − | 53.5578i | −0.107968 | − | 0.0917086i | ||||
\(585\) | −166.907 | + | 486.940i | −0.285311 | + | 0.832376i | ||||
\(586\) | 438.722 | − | 333.507i | 0.748672 | − | 0.569125i | ||||
\(587\) | 35.1114 | + | 58.3557i | 0.0598151 | + | 0.0994134i | 0.885322 | − | 0.464979i | \(-0.153938\pi\) |
−0.825507 | + | 0.564392i | \(0.809111\pi\) | |||||||
\(588\) | −63.8394 | + | 60.1563i | −0.108570 | + | 0.102307i | ||||
\(589\) | −1632.52 | −2.77168 | ||||||||
\(590\) | 166.203 | − | 189.819i | 0.281700 | − | 0.321727i | ||||
\(591\) | 354.646 | + | 771.840i | 0.600078 | + | 1.30599i | ||||
\(592\) | −190.367 | + | 64.1420i | −0.321565 | + | 0.108348i | ||||
\(593\) | 132.910 | + | 220.897i | 0.224131 | + | 0.372508i | 0.948435 | − | 0.316973i | \(-0.102666\pi\) |
−0.724304 | + | 0.689481i | \(0.757839\pi\) | |||||||
\(594\) | −168.474 | − | 432.669i | −0.283626 | − | 0.728399i | ||||
\(595\) | −35.2612 | − | 88.4988i | −0.0592624 | − | 0.148738i | ||||
\(596\) | −326.625 | − | 277.438i | −0.548028 | − | 0.465499i | ||||
\(597\) | 882.821 | + | 2.30630i | 1.47876 | + | 0.00386316i | ||||
\(598\) | −303.568 | + | 447.730i | −0.507639 | + | 0.748712i | ||||
\(599\) | −810.978 | − | 429.953i | −1.35389 | − | 0.717785i | −0.375941 | − | 0.926644i | \(-0.622680\pi\) |
−0.977946 | + | 0.208859i | \(0.933025\pi\) | |||||||
\(600\) | −56.8148 | + | 121.966i | −0.0946914 | + | 0.203277i | ||||
\(601\) | 134.656 | + | 484.986i | 0.224053 | + | 0.806966i | 0.987029 | + | 0.160539i | \(0.0513234\pi\) |
−0.762977 | + | 0.646426i | \(0.776263\pi\) | |||||||
\(602\) | 158.941 | + | 63.3279i | 0.264022 | + | 0.105196i | ||||
\(603\) | 953.963 | + | 215.215i | 1.58203 | + | 0.356907i | ||||
\(604\) | −99.1124 | − | 10.7791i | −0.164093 | − | 0.0178462i | ||||
\(605\) | −49.1587 | + | 64.6672i | −0.0812541 | + | 0.106888i | ||||
\(606\) | 33.1359 | + | 205.481i | 0.0546796 | + | 0.339077i | ||||
\(607\) | −341.739 | + | 158.105i | −0.562997 | + | 0.260470i | −0.680680 | − | 0.732581i | \(-0.738315\pi\) |
0.117683 | + | 0.993051i | \(0.462453\pi\) | |||||||
\(608\) | −184.633 | − | 30.2690i | −0.303672 | − | 0.0497845i | ||||
\(609\) | −155.326 | − | 714.541i | −0.255051 | − | 1.17330i | ||||
\(610\) | −105.247 | − | 63.3250i | −0.172536 | − | 0.103811i | ||||
\(611\) | −35.7845 | − | 329.033i | −0.0585672 | − | 0.538516i | ||||
\(612\) | 8.05633 | − | 70.6409i | 0.0131639 | − | 0.115426i | ||||
\(613\) | −0.669616 | − | 4.08448i | −0.00109236 | − | 0.00666310i | 0.986275 | − | 0.165113i | \(-0.0527988\pi\) |
−0.987367 | + | 0.158450i | \(0.949350\pi\) | |||||||
\(614\) | −61.3424 | − | 3.32589i | −0.0999062 | − | 0.00541676i | ||||
\(615\) | −87.1563 | + | 217.095i | −0.141718 | + | 0.353000i | ||||
\(616\) | 199.161 | + | 188.656i | 0.323314 | + | 0.306259i | ||||
\(617\) | −792.260 | + | 42.9551i | −1.28405 | + | 0.0696192i | −0.683490 | − | 0.729960i | \(-0.739539\pi\) |
−0.600561 | + | 0.799579i | \(0.705056\pi\) | |||||||
\(618\) | 391.287 | + | 517.530i | 0.633150 | + | 0.837427i | ||||
\(619\) | 1038.46 | + | 349.898i | 1.67764 | + | 0.565263i | 0.987390 | − | 0.158307i | \(-0.0506036\pi\) |
0.690251 | + | 0.723570i | \(0.257500\pi\) | |||||||
\(620\) | −95.3114 | + | 282.874i | −0.153728 | + | 0.456249i | ||||
\(621\) | 544.949 | + | 33.8316i | 0.877534 | + | 0.0544793i | ||||
\(622\) | −20.8172 | − | 383.951i | −0.0334682 | − | 0.617285i | ||||
\(623\) | −615.092 | + | 649.345i | −0.987307 | + | 1.04229i | ||||
\(624\) | 84.5646 | − | 210.639i | 0.135520 | − | 0.337563i | ||||
\(625\) | 1.23766 | − | 22.8272i | 0.00198025 | − | 0.0365236i | ||||
\(626\) | −285.254 | + | 46.7650i | −0.455677 | + | 0.0747044i | ||||
\(627\) | −624.740 | + | 1032.21i | −0.996395 | + | 1.64627i | ||||
\(628\) | 196.005 | − | 21.3169i | 0.312110 | − | 0.0339440i | ||||
\(629\) | −102.269 | + | 169.973i | −0.162590 | + | 0.270227i | ||||
\(630\) | −245.347 | + | 184.493i | −0.389439 | + | 0.292846i | ||||
\(631\) | −56.8063 | + | 346.503i | −0.0900258 | + | 0.549133i | 0.902848 | + | 0.429961i | \(0.141473\pi\) |
−0.992874 | + | 0.119173i | \(0.961976\pi\) | |||||||
\(632\) | −116.628 | − | 252.088i | −0.184538 | − | 0.398873i | ||||
\(633\) | −83.3592 | − | 516.924i | −0.131689 | − | 0.816625i | ||||
\(634\) | 355.638 | + | 270.349i | 0.560944 | + | 0.426418i | ||||
\(635\) | −2.88297 | + | 26.5084i | −0.00454011 | + | 0.0417456i | ||||
\(636\) | −315.820 | + | 413.208i | −0.496572 | + | 0.649699i | ||||
\(637\) | −102.353 | + | 256.888i | −0.160680 | + | 0.403277i | ||||
\(638\) | −506.357 | + | 140.589i | −0.793664 | + | 0.220360i | ||||
\(639\) | −5.89881 | + | 1128.98i | −0.00923131 | + | 1.76680i | ||||
\(640\) | −16.0242 | + | 30.2249i | −0.0250379 | + | 0.0472265i | ||||
\(641\) | 215.753 | + | 146.284i | 0.336588 | + | 0.228212i | 0.717758 | − | 0.696293i | \(-0.245169\pi\) |
−0.381170 | + | 0.924505i | \(0.624479\pi\) | |||||||
\(642\) | 448.770 | + | 1.17238i | 0.699019 | + | 0.00182614i | ||||
\(643\) | −677.185 | + | 797.244i | −1.05317 | + | 1.23988i | −0.0832273 | + | 0.996531i | \(0.526523\pi\) |
−0.969938 | + | 0.243352i | \(0.921753\pi\) | |||||||
\(644\) | −299.680 | + | 119.403i | −0.465341 | + | 0.185409i | ||||
\(645\) | 121.395 | + | 64.7662i | 0.188209 | + | 0.100413i | ||||
\(646\) | −158.309 | + | 95.2514i | −0.245060 | + | 0.147448i | ||||
\(647\) | 245.107 | + | 727.452i | 0.378836 | + | 1.12435i | 0.952313 | + | 0.305124i | \(0.0986979\pi\) |
−0.573476 | + | 0.819222i | \(0.694406\pi\) | |||||||
\(648\) | −226.459 | + | 34.7002i | −0.349475 | + | 0.0535497i | ||||
\(649\) | 291.435 | + | 655.577i | 0.449052 | + | 1.01013i | ||||
\(650\) | 424.169i | 0.652567i | ||||||||
\(651\) | 859.584 | − | 809.991i | 1.32041 | − | 1.24423i | ||||
\(652\) | 219.617 | − | 132.139i | 0.336837 | − | 0.202668i | ||||
\(653\) | −108.195 | − | 142.328i | −0.165688 | − | 0.217959i | 0.705754 | − | 0.708457i | \(-0.250608\pi\) |
−0.871443 | + | 0.490497i | \(0.836815\pi\) | |||||||
\(654\) | −206.957 | + | 217.342i | −0.316448 | + | 0.332327i | ||||
\(655\) | −202.470 | + | 238.366i | −0.309114 | + | 0.363917i | ||||
\(656\) | 43.3135 | − | 93.6207i | 0.0660267 | − | 0.142714i | ||||
\(657\) | 69.0988 | + | 254.012i | 0.105173 | + | 0.386625i | ||||
\(658\) | 92.4531 | − | 174.385i | 0.140506 | − | 0.265023i | ||||
\(659\) | −53.4108 | + | 45.3675i | −0.0810482 | + | 0.0688430i | −0.686995 | − | 0.726662i | \(-0.741070\pi\) |
0.605946 | + | 0.795505i | \(0.292795\pi\) | |||||||
\(660\) | 142.382 | + | 168.515i | 0.215730 | + | 0.255326i | ||||
\(661\) | 173.925 | − | 436.520i | 0.263125 | − | 0.660393i | −0.736751 | − | 0.676164i | \(-0.763641\pi\) |
0.999876 | + | 0.0157709i | \(0.00502025\pi\) | |||||||
\(662\) | −27.7312 | + | 14.7022i | −0.0418901 | + | 0.0222087i | ||||
\(663\) | −71.0128 | − | 212.592i | −0.107108 | − | 0.320652i | ||||
\(664\) | 320.223 | + | 243.427i | 0.482264 | + | 0.366607i | ||||
\(665\) | 768.617 | + | 213.405i | 1.15581 | + | 0.320910i | ||||
\(666\) | 615.002 | + | 174.221i | 0.923427 | + | 0.261593i | ||||
\(667\) | 99.9756 | − | 609.824i | 0.149888 | − | 0.914279i | ||||
\(668\) | −40.9211 | + | 185.907i | −0.0612592 | + | 0.278303i | ||||
\(669\) | 546.270 | + | 60.8548i | 0.816547 | + | 0.0909639i | ||||
\(670\) | −461.933 | + | 50.2382i | −0.689452 | + | 0.0749824i | ||||
\(671\) | 289.092 | − | 196.010i | 0.430838 | − | 0.292115i | ||||
\(672\) | 112.234 | − | 75.6695i | 0.167015 | − | 0.112603i | ||||
\(673\) | −63.1066 | + | 1163.93i | −0.0937691 | + | 1.72947i | 0.452418 | + | 0.891806i | \(0.350561\pi\) |
−0.546187 | + | 0.837663i | \(0.683921\pi\) | |||||||
\(674\) | 310.113 | + | 327.382i | 0.460108 | + | 0.485731i | ||||
\(675\) | 368.569 | − | 217.845i | 0.546028 | − | 0.322733i | ||||
\(676\) | −20.4404 | − | 377.002i | −0.0302373 | − | 0.557695i | ||||
\(677\) | 88.5496 | + | 402.285i | 0.130797 | + | 0.594217i | 0.995729 | + | 0.0923275i | \(0.0294307\pi\) |
−0.864932 | + | 0.501890i | \(0.832638\pi\) | |||||||
\(678\) | 527.208 | − | 55.9441i | 0.777592 | − | 0.0825134i | ||||
\(679\) | −587.318 | − | 197.890i | −0.864974 | − | 0.291444i | ||||
\(680\) | 7.26209 | + | 32.9920i | 0.0106795 | + | 0.0485176i | ||||
\(681\) | 335.145 | − | 176.563i | 0.492137 | − | 0.259270i | ||||
\(682\) | −616.235 | − | 583.729i | −0.903570 | − | 0.855907i | ||||
\(683\) | −546.618 | − | 577.057i | −0.800319 | − | 0.844886i | 0.190274 | − | 0.981731i | \(-0.439062\pi\) |
−0.990593 | + | 0.136845i | \(0.956304\pi\) | |||||||
\(684\) | 430.069 | + | 411.668i | 0.628756 | + | 0.601853i | ||||
\(685\) | −74.9391 | − | 457.108i | −0.109400 | − | 0.667312i | ||||
\(686\) | 320.989 | − | 217.636i | 0.467914 | − | 0.317253i | ||||
\(687\) | 330.973 | − | 197.964i | 0.481765 | − | 0.288157i | ||||
\(688\) | −51.9864 | − | 31.2792i | −0.0755616 | − | 0.0454639i | ||||
\(689\) | −352.455 | + | 1601.22i | −0.511546 | + | 2.32398i | ||||
\(690\) | −250.149 | + | 68.7502i | −0.362535 | + | 0.0996380i | ||||
\(691\) | 801.516 | − | 370.821i | 1.15994 | − | 0.536644i | 0.256997 | − | 0.966412i | \(-0.417267\pi\) |
0.902939 | + | 0.429768i | \(0.141405\pi\) | |||||||
\(692\) | −204.377 | − | 56.7450i | −0.295343 | − | 0.0820015i | ||||
\(693\) | −183.193 | − | 853.470i | −0.264348 | − | 1.23156i | ||||
\(694\) | −447.622 | − | 48.6818i | −0.644988 | − | 0.0701467i | ||||
\(695\) | −54.8072 | + | 29.0569i | −0.0788592 | + | 0.0418085i | ||||
\(696\) | 13.3618 | + | 258.956i | 0.0191980 | + | 0.372063i | ||||
\(697\) | −27.2514 | − | 98.1506i | −0.0390981 | − | 0.140819i | ||||
\(698\) | 114.968 | − | 97.6551i | 0.164711 | − | 0.139907i | ||||
\(699\) | −954.721 | − | 54.2653i | −1.36584 | − | 0.0776327i | ||||
\(700\) | −141.955 | + | 209.367i | −0.202792 | + | 0.299096i | ||||
\(701\) | −456.603 | + | 986.931i | −0.651359 | + | 1.40789i | 0.247168 | + | 0.968973i | \(0.420500\pi\) |
−0.898527 | + | 0.438918i | \(0.855362\pi\) | |||||||
\(702\) | −600.954 | + | 400.618i | −0.856059 | + | 0.570681i | ||||
\(703\) | −614.806 | − | 1543.05i | −0.874546 | − | 2.19494i | ||||
\(704\) | −58.8710 | − | 77.4435i | −0.0836236 | − | 0.110005i | ||||
\(705\) | 89.4195 | − | 131.145i | 0.126836 | − | 0.186021i | ||||
\(706\) | −73.5355 | + | 24.7770i | −0.104158 | + | 0.0350949i | ||||
\(707\) | 391.295i | 0.553459i | ||||||||
\(708\) | 347.011 | − | 69.9945i | 0.490129 | − | 0.0988623i | ||||
\(709\) | −849.268 | −1.19784 | −0.598920 | − | 0.800809i | \(-0.704403\pi\) | ||||
−0.598920 | + | 0.800809i | \(0.704403\pi\) | |||||||
\(710\) | −171.283 | − | 508.350i | −0.241244 | − | 0.715986i | ||||
\(711\) | −147.542 | + | 871.424i | −0.207514 | + | 1.22563i | ||||
\(712\) | 252.497 | − | 191.943i | 0.354630 | − | 0.269583i | ||||
\(713\) | 927.253 | − | 369.451i | 1.30049 | − | 0.518165i | ||||
\(714\) | 36.0958 | − | 128.700i | 0.0505543 | − | 0.180252i | ||||
\(715\) | 631.202 | + | 292.025i | 0.882801 | + | 0.408427i | ||||
\(716\) | 263.707 | + | 178.798i | 0.368305 | + | 0.249717i | ||||
\(717\) | −211.427 | − | 12.0173i | −0.294877 | − | 0.0167605i | ||||
\(718\) | −55.6419 | − | 65.5067i | −0.0774957 | − | 0.0912350i | ||||
\(719\) | −762.029 | + | 211.576i | −1.05985 | + | 0.294265i | −0.753358 | − | 0.657610i | \(-0.771567\pi\) |
−0.306487 | + | 0.951875i | \(0.599154\pi\) | |||||||
\(720\) | 96.4403 | − | 50.4857i | 0.133945 | − | 0.0701190i | ||||
\(721\) | 571.341 | + | 1077.66i | 0.792428 | + | 1.49468i | ||||
\(722\) | 112.066 | − | 1030.43i | 0.155216 | − | 1.42718i | ||||
\(723\) | −72.0253 | − | 16.0513i | −0.0996200 | − | 0.0222010i | ||||
\(724\) | 99.6616 | − | 358.948i | 0.137654 | − | 0.495785i | ||||
\(725\) | −203.464 | − | 439.781i | −0.280640 | − | 0.606594i | ||||
\(726\) | −109.900 | + | 30.2045i | −0.151377 | + | 0.0416039i | ||||
\(727\) | −1111.04 | − | 244.558i | −1.52825 | − | 0.336393i | −0.630251 | − | 0.776391i | \(-0.717048\pi\) |
−0.897999 | + | 0.439998i | \(0.854979\pi\) | |||||||
\(728\) | 219.999 | − | 365.641i | 0.302196 | − | 0.502254i | ||||
\(729\) | 656.743 | + | 316.432i | 0.900883 | + | 0.434063i | ||||
\(730\) | −70.1916 | − | 103.525i | −0.0961529 | − | 0.141815i | ||||
\(731\) | −59.1223 | + | 9.69262i | −0.0808787 | + | 0.0132594i | ||||
\(732\) | −63.3716 | − | 160.267i | −0.0865733 | − | 0.218944i | ||||
\(733\) | −278.257 | + | 263.579i | −0.379614 | + | 0.359589i | −0.853587 | − | 0.520950i | \(-0.825578\pi\) |
0.473974 | + | 0.880539i | \(0.342819\pi\) | |||||||
\(734\) | 360.318 | − | 380.383i | 0.490896 | − | 0.518233i | ||||
\(735\) | −117.331 | + | 61.8129i | −0.159634 | + | 0.0840992i | ||||
\(736\) | 111.719 | − | 24.5913i | 0.151793 | − | 0.0334121i | ||||
\(737\) | 421.892 | − | 1252.13i | 0.572445 | − | 1.69896i | ||||
\(738\) | −282.132 | + | 167.752i | −0.382293 | + | 0.227306i | ||||
\(739\) | 741.122 | − | 163.133i | 1.00287 | − | 0.220749i | 0.316964 | − | 0.948437i | \(-0.397336\pi\) |
0.685908 | + | 0.727689i | \(0.259405\pi\) | |||||||
\(740\) | −303.265 | + | 16.4425i | −0.409817 | + | 0.0222197i | ||||
\(741\) | 1776.99 | + | 603.913i | 2.39810 | + | 0.814997i | ||||
\(742\) | −709.844 | + | 672.400i | −0.956663 | + | 0.906199i | ||||
\(743\) | 169.237 | + | 9.17574i | 0.227775 | + | 0.0123496i | 0.167673 | − | 0.985843i | \(-0.446375\pi\) |
0.0601018 | + | 0.998192i | \(0.480857\pi\) | |||||||
\(744\) | −347.269 | + | 234.133i | −0.466760 | + | 0.314694i | ||||
\(745\) | −363.603 | − | 536.274i | −0.488058 | − | 0.719831i | ||||
\(746\) | 88.5916 | + | 814.586i | 0.118755 | + | 1.09194i | ||||
\(747\) | −402.341 | − | 1215.05i | −0.538609 | − | 1.62657i | ||||
\(748\) | −93.8160 | − | 20.6505i | −0.125422 | − | 0.0276076i | ||||
\(749\) | 832.578 | + | 136.494i | 1.11159 | + | 0.182235i | ||||
\(750\) | −340.365 | + | 398.593i | −0.453820 | + | 0.531458i | ||||
\(751\) | 106.669 | − | 384.186i | 0.142036 | − | 0.511566i | −0.857962 | − | 0.513713i | \(-0.828270\pi\) |
0.999998 | + | 0.00214698i | \(0.000683404\pi\) | |||||||
\(752\) | −42.3572 | + | 55.7199i | −0.0563261 | + | 0.0740957i | ||||
\(753\) | 125.753 | + | 376.468i | 0.167002 | + | 0.499958i | ||||
\(754\) | 382.898 | + | 722.222i | 0.507822 | + | 0.957854i | ||||
\(755\) | −140.025 | − | 55.7909i | −0.185463 | − | 0.0738952i | ||||
\(756\) | −430.701 | − | 3.37558i | −0.569710 | − | 0.00446506i | ||||
\(757\) | −488.660 | − | 575.295i | −0.645522 | − | 0.759967i | 0.337923 | − | 0.941174i | \(-0.390276\pi\) |
−0.983445 | + | 0.181207i | \(0.942000\pi\) | |||||||
\(758\) | −614.787 | − | 325.939i | −0.811064 | − | 0.429999i | ||||
\(759\) | 121.248 | − | 727.668i | 0.159747 | − | 0.958719i | ||||
\(760\) | −256.725 | − | 118.774i | −0.337796 | − | 0.156281i | ||||
\(761\) | −164.696 | − | 139.894i | −0.216421 | − | 0.183830i | 0.532618 | − | 0.846356i | \(-0.321208\pi\) |
−0.749039 | + | 0.662526i | \(0.769484\pi\) | |||||||
\(762\) | −25.8000 | + | 27.0946i | −0.0338582 | + | 0.0355572i | ||||
\(763\) | −449.168 | + | 341.449i | −0.588687 | + | 0.447508i | ||||
\(764\) | 271.815 | + | 451.761i | 0.355779 | + | 0.591310i | ||||
\(765\) | 40.3085 | − | 99.6492i | 0.0526908 | − | 0.130260i | ||||
\(766\) | 764.297 | 0.997777 | ||||||||
\(767\) | 898.467 | − | 661.952i | 1.17140 | − | 0.863041i | ||||
\(768\) | −43.6161 | + | 20.0408i | −0.0567918 | + | 0.0260948i | ||||
\(769\) | 35.3160 | − | 11.8993i | 0.0459246 | − | 0.0154738i | −0.296246 | − | 0.955112i | \(-0.595735\pi\) |
0.342170 | + | 0.939638i | \(0.388838\pi\) | |||||||
\(770\) | 213.827 | + | 355.384i | 0.277698 | + | 0.461538i | ||||
\(771\) | −253.175 | − | 135.073i | −0.328372 | − | 0.175193i | ||||
\(772\) | −25.3085 | − | 63.5196i | −0.0327831 | − | 0.0822793i | ||||
\(773\) | −16.4867 | − | 14.0040i | −0.0213282 | − | 0.0181164i | 0.636659 | − | 0.771146i | \(-0.280316\pi\) |
−0.657987 | + | 0.753029i | \(0.728592\pi\) | |||||||
\(774\) | 80.1447 | + | 175.632i | 0.103546 | + | 0.226915i | ||||
\(775\) | 439.229 | − | 647.814i | 0.566746 | − | 0.835889i | ||||
\(776\) | 194.172 | + | 102.943i | 0.250221 | + | 0.132659i | ||||
\(777\) | 1089.32 | + | 507.430i | 1.40195 | + | 0.653063i | ||||
\(778\) | −3.74092 | − | 13.4736i | −0.00480839 | − | 0.0173182i | ||||
\(779\) | 792.367 | + | 315.708i | 1.01716 | + | 0.405273i | ||||
\(780\) | 208.389 | − | 272.650i | 0.267165 | − | 0.349551i | ||||
\(781\) | 1516.45 | + | 164.924i | 1.94168 | + | 0.211170i | ||||
\(782\) | 68.3616 | − | 89.9282i | 0.0874190 | − | 0.114998i | ||||
\(783\) | 430.905 | − | 703.627i | 0.550326 | − | 0.898630i | ||||
\(784\) | 53.0731 | − | 24.5542i | 0.0676953 | − | 0.0313192i | ||||
\(785\) | 294.157 | + | 48.2247i | 0.374723 | + | 0.0614327i | ||||
\(786\) | −428.804 | + | 93.2130i | −0.545552 | + | 0.118592i | ||||
\(787\) | 176.636 | + | 106.278i | 0.224442 | + | 0.135042i | 0.623334 | − | 0.781956i | \(-0.285778\pi\) |
−0.398892 | + | 0.916998i | \(0.630605\pi\) | |||||||
\(788\) | −61.2255 | − | 562.959i | −0.0776973 | − | 0.714415i | ||||
\(789\) | 506.716 | − | 837.210i | 0.642226 | − | 1.06110i | ||||
\(790\) | −67.9388 | − | 414.408i | −0.0859984 | − | 0.524567i | ||||
\(791\) | 995.255 | + | 53.9612i | 1.25822 | + | 0.0682189i | ||||
\(792\) | 15.1431 | + | 309.171i | 0.0191201 | + | 0.390367i | ||||
\(793\) | −394.438 | − | 373.631i | −0.497400 | − | 0.471162i | ||||
\(794\) | −22.7634 | + | 1.23420i | −0.0286693 | + | 0.00155440i | ||||
\(795\) | −627.209 | + | 474.211i | −0.788942 | + | 0.596492i | ||||
\(796\) | −557.741 | − | 187.925i | −0.700679 | − | 0.236086i | ||||
\(797\) | 388.382 | − | 1152.68i | 0.487305 | − | 1.44627i | −0.368819 | − | 0.929501i | \(-0.620238\pi\) |
0.856124 | − | 0.516770i | \(-0.172866\pi\) | |||||||
\(798\) | 675.006 | + | 892.787i | 0.845872 | + | 1.11878i | ||||
\(799\) | 3.74185 | + | 69.0143i | 0.00468316 | + | 0.0863758i | ||||
\(800\) | 61.6866 | − | 65.1217i | 0.0771082 | − | 0.0814021i | ||||
\(801\) | −1008.02 | + | 49.3724i | −1.25845 | + | 0.0616385i | ||||
\(802\) | 36.7945 | − | 678.634i | 0.0458784 | − | 0.846177i | ||||
\(803\) | 350.983 | − | 57.5408i | 0.437090 | − | 0.0716573i | ||||
\(804\) | −557.756 | − | 337.578i | −0.693726 | − | 0.419873i | ||||
\(805\) | −484.861 | + | 52.7318i | −0.602311 | + | 0.0655053i | ||||
\(806\) | −680.709 | + | 1131.35i | −0.844552 | + | 1.40366i | ||||
\(807\) | −119.280 | − | 548.717i | −0.147806 | − | 0.679947i | ||||
\(808\) | 22.4484 | − | 136.929i | 0.0277826 | − | 0.169467i | ||||
\(809\) | 165.307 | + | 357.304i | 0.204335 | + | 0.441662i | 0.982467 | − | 0.186439i | \(-0.0596946\pi\) |
−0.778132 | + | 0.628101i | \(0.783833\pi\) | |||||||
\(810\) | −343.936 | − | 41.0460i | −0.424612 | − | 0.0506741i | ||||
\(811\) | 263.186 | + | 200.069i | 0.324520 | + | 0.246694i | 0.754731 | − | 0.656035i | \(-0.227768\pi\) |
−0.430210 | + | 0.902729i | \(0.641561\pi\) | |||||||
\(812\) | −52.7064 | + | 484.628i | −0.0649094 | + | 0.596832i | ||||
\(813\) | −167.313 | − | 127.879i | −0.205797 | − | 0.157293i | ||||
\(814\) | 319.662 | − | 802.292i | 0.392706 | − | 0.985617i | ||||
\(815\) | 373.380 | − | 103.668i | 0.458135 | − | 0.127200i | ||||
\(816\) | −20.0147 | + | 42.9662i | −0.0245278 | + | 0.0526547i | ||||
\(817\) | 234.984 | − | 443.227i | 0.287618 | − | 0.542505i | ||||
\(818\) | −185.614 | − | 125.849i | −0.226912 | − | 0.153850i | ||||
\(819\) | −1235.29 | + | 563.690i | −1.50829 | + | 0.688266i | ||||
\(820\) | 100.965 | − | 118.865i | 0.123128 | − | 0.144957i | ||||
\(821\) | −236.017 | + | 94.0376i | −0.287475 | + | 0.114540i | −0.509418 | − | 0.860519i | \(-0.670139\pi\) |
0.221943 | + | 0.975060i | \(0.428760\pi\) | |||||||
\(822\) | 305.932 | − | 573.424i | 0.372180 | − | 0.697596i | ||||
\(823\) | −756.616 | + | 455.241i | −0.919339 | + | 0.553148i | −0.894759 | − | 0.446550i | \(-0.852653\pi\) |
−0.0245805 | + | 0.999698i | \(0.507825\pi\) | |||||||
\(824\) | −138.109 | − | 409.892i | −0.167608 | − | 0.497442i | ||||
\(825\) | −241.515 | − | 525.624i | −0.292745 | − | 0.637120i | ||||
\(826\) | 665.011 | − | 26.0501i | 0.805099 | − | 0.0315376i | ||||
\(827\) | − | 281.822i | − | 0.340776i | −0.985377 | − | 0.170388i | \(-0.945498\pi\) | ||
0.985377 | − | 0.170388i | \(-0.0545022\pi\) | |||||||
\(828\) | −337.438 | − | 136.495i | −0.407533 | − | 0.164849i | ||||
\(829\) | 1154.32 | − | 694.528i | 1.39242 | − | 0.837791i | 0.395672 | − | 0.918392i | \(-0.370512\pi\) |
0.996746 | + | 0.0806011i | \(0.0256840\pi\) | |||||||
\(830\) | 368.033 | + | 484.140i | 0.443414 | + | 0.583301i | ||||
\(831\) | 314.608 | + | 299.575i | 0.378589 | + | 0.360500i | ||||
\(832\) | −97.9625 | + | 115.330i | −0.117743 | + | 0.138618i | ||||
\(833\) | 24.2469 | − | 52.4088i | 0.0291079 | − | 0.0629157i | ||||
\(834\) | −85.8552 | − | 14.3057i | −0.102944 | − | 0.0171531i | ||||
\(835\) | −134.807 | + | 254.273i | −0.161445 | + | 0.304518i | ||||
\(836\) | 613.057 | − | 520.736i | 0.733322 | − | 0.622890i | ||||
\(837\) | 1332.65 | + | 10.4445i | 1.59218 | + | 0.0124786i | ||||
\(838\) | −208.827 | + | 524.116i | −0.249197 | + | 0.625436i | ||||
\(839\) | −814.698 | + | 431.925i | −0.971034 | + | 0.514810i | −0.876860 | − | 0.480746i | \(-0.840366\pi\) |
−0.0941744 | + | 0.995556i | \(0.530021\pi\) | |||||||
\(840\) | 194.106 | − | 64.8378i | 0.231079 | − | 0.0771879i | ||||
\(841\) | −73.9104 | − | 56.1852i | −0.0878839 | − | 0.0668076i | ||||
\(842\) | 379.265 | + | 105.302i | 0.450434 | + | 0.125062i | ||||
\(843\) | 789.914 | + | 674.520i | 0.937028 | + | 0.800142i | ||||
\(844\) | −56.4729 | + | 344.470i | −0.0669110 | + | 0.408139i | ||||
\(845\) | 122.709 | − | 557.474i | 0.145218 | − | 0.659732i | ||||
\(846\) | 211.423 | − | 70.0087i | 0.249909 | − | 0.0827526i | ||||
\(847\) | −213.017 | + | 23.1670i | −0.251496 | + | 0.0273518i | ||||
\(848\) | 286.976 | − | 194.575i | 0.338415 | − | 0.229451i | ||||
\(849\) | −303.308 | − | 449.872i | −0.357254 | − | 0.529885i | ||||
\(850\) | 4.79547 | − | 88.4472i | 0.00564173 | − | 0.104056i | ||||
\(851\) | 698.405 | + | 737.297i | 0.820688 | + | 0.866389i | ||||
\(852\) | 242.190 | − | 712.635i | 0.284260 | − | 0.836427i | ||||
\(853\) | 19.0890 | + | 352.077i | 0.0223787 | + | 0.412751i | 0.988163 | + | 0.153405i | \(0.0490241\pi\) |
−0.965785 | + | 0.259345i | \(0.916493\pi\) | |||||||
\(854\) | −69.6509 | − | 316.427i | −0.0815585 | − | 0.370524i | ||||
\(855\) | 460.006 | + | 773.657i | 0.538018 | + | 0.904862i | ||||
\(856\) | −283.520 | − | 95.5290i | −0.331215 | − | 0.111599i | ||||
\(857\) | 77.1879 | + | 350.668i | 0.0900675 | + | 0.409181i | 0.999984 | − | 0.00561010i | \(-0.00178576\pi\) |
−0.909917 | + | 0.414791i | \(0.863855\pi\) | |||||||
\(858\) | 454.833 | + | 863.349i | 0.530109 | + | 1.00623i | ||||
\(859\) | −229.250 | − | 217.157i | −0.266880 | − | 0.252802i | 0.542543 | − | 0.840028i | \(-0.317462\pi\) |
−0.809423 | + | 0.587226i | \(0.800220\pi\) | |||||||
\(860\) | −63.0809 | − | 66.5937i | −0.0733499 | − | 0.0774345i | ||||
\(861\) | −573.853 | + | 226.909i | −0.666496 | + | 0.263541i | ||||
\(862\) | 124.892 | + | 761.807i | 0.144886 | + | 0.883766i | ||||
\(863\) | −598.088 | + | 405.514i | −0.693033 | + | 0.469888i | −0.856156 | − | 0.516717i | \(-0.827154\pi\) |
0.163123 | + | 0.986606i | \(0.447843\pi\) | |||||||
\(864\) | 150.525 | + | 25.8903i | 0.174218 | + | 0.0299656i | ||||
\(865\) | −274.780 | − | 165.329i | −0.317664 | − | 0.191132i | ||||
\(866\) | −167.592 | + | 761.378i | −0.193524 | + | 0.879189i | ||||
\(867\) | −217.360 | − | 790.869i | −0.250703 | − | 0.912190i | ||||
\(868\) | −714.618 | + | 330.617i | −0.823292 | + | 0.380896i | ||||
\(869\) | 1150.62 | + | 319.467i | 1.32407 | + | 0.367626i | ||||
\(870\) | −85.2751 | + | 382.644i | −0.0980173 | + | 0.439821i | ||||
\(871\) | −2043.25 | − | 222.217i | −2.34587 | − | 0.255129i | ||||
\(872\) | 176.770 | − | 93.7173i | 0.202717 | − | 0.107474i | ||||
\(873\) | −324.331 | − | 619.554i | −0.371513 | − | 0.709684i | ||||
\(874\) | 253.049 | + | 911.400i | 0.289530 | + | 1.04279i | ||||
\(875\) | −751.026 | + | 637.928i | −0.858316 | + | 0.729060i | ||||
\(876\) | 9.95889 | − | 175.213i | 0.0113686 | − | 0.200014i | ||||
\(877\) | 584.360 | − | 861.867i | 0.666317 | − | 0.982744i | −0.332892 | − | 0.942965i | \(-0.608024\pi\) |
0.999209 | − | 0.0397789i | \(-0.0126654\pi\) | |||||||
\(878\) | −336.318 | + | 726.939i | −0.383050 | + | 0.827948i | ||||
\(879\) | 1125.61 | + | 315.694i | 1.28056 | + | 0.359152i | ||||
\(880\) | −54.4381 | − | 136.629i | −0.0618615 | − | 0.155261i | ||||
\(881\) | −1018.38 | − | 1339.65i | −1.15593 | − | 1.52061i | −0.813983 | − | 0.580889i | \(-0.802705\pi\) |
−0.341952 | − | 0.939717i | \(-0.611088\pi\) | |||||||
\(882\) | −183.465 | − | 31.0627i | −0.208010 | − | 0.0352184i | ||||
\(883\) | 807.731 | − | 272.156i | 0.914757 | − | 0.308218i | 0.177729 | − | 0.984079i | \(-0.443125\pi\) |
0.737028 | + | 0.675862i | \(0.236228\pi\) | |||||||
\(884\) | 149.426i | 0.169034i | ||||||||
\(885\) | 533.828 | + | 38.3899i | 0.603195 | + | 0.0433785i | ||||
\(886\) | −756.436 | −0.853765 | ||||||||
\(887\) | 154.877 | + | 459.659i | 0.174608 | + | 0.518217i | 0.998846 | − | 0.0480258i | \(-0.0152930\pi\) |
−0.824238 | + | 0.566243i | \(0.808396\pi\) | |||||||
\(888\) | −352.082 | − | 240.062i | −0.396488 | − | 0.270340i | ||||
\(889\) | −55.9949 | + | 42.5662i | −0.0629864 | + | 0.0478810i | ||||
\(890\) | 445.466 | − | 177.490i | 0.500523 | − | 0.199427i | ||||
\(891\) | 516.589 | − | 838.613i | 0.579785 | − | 0.941205i | ||||
\(892\) | −332.565 | − | 153.861i | −0.372831 | − | 0.172490i | ||||
\(893\) | −479.012 | − | 324.778i | −0.536408 | − | 0.363693i | ||||
\(894\) | 51.5885 | − | 907.627i | 0.0577053 | − | 1.01524i | ||||
\(895\) | 311.843 | + | 367.130i | 0.348428 | + | 0.410201i | ||||
\(896\) | −86.9509 | + | 24.1418i | −0.0970435 | + | 0.0269440i | ||||
\(897\) | −1145.98 | + | 59.1312i | −1.27757 | + | 0.0659210i | ||||
\(898\) | −304.761 | − | 574.841i | −0.339378 | − | 0.640135i | ||||
\(899\) | 163.082 | − | 1499.51i | 0.181403 | − | 1.66798i | ||||
\(900\) | −279.067 | + | 59.9003i | −0.310074 | + | 0.0665559i | ||||
\(901\) | 91.5964 | − | 329.900i | 0.101661 | − | 0.366149i | ||||
\(902\) | 186.213 | + | 402.493i | 0.206445 | + | 0.446223i | ||||
\(903\) | 96.1834 | + | 349.965i | 0.106515 | + | 0.387559i | ||||
\(904\) | −345.182 | − | 75.9802i | −0.381838 | − | 0.0840489i | ||||
\(905\) | 290.369 | − | 482.597i | 0.320849 | − | 0.533256i | ||||
\(906\) | −108.560 | − | 181.500i | −0.119824 | − | 0.200331i | ||||
\(907\) | −606.478 | − | 894.489i | −0.668664 | − | 0.986206i | −0.999102 | − | 0.0423779i | \(-0.986507\pi\) |
0.330438 | − | 0.943828i | \(-0.392804\pi\) | |||||||
\(908\) | −249.213 | + | 40.8564i | −0.274463 | + | 0.0449960i | ||||
\(909\) | −305.305 | + | 318.952i | −0.335869 | + | 0.350882i | ||||
\(910\) | 468.380 | − | 443.673i | 0.514704 | − | 0.487553i | ||||
\(911\) | −229.145 | + | 241.906i | −0.251531 | + | 0.265539i | −0.839518 | − | 0.543332i | \(-0.817162\pi\) |
0.587986 | + | 0.808871i | \(0.299921\pi\) | |||||||
\(912\) | −184.991 | − | 351.144i | −0.202842 | − | 0.385027i | ||||
\(913\) | −1688.89 | + | 371.753i | −1.84982 | + | 0.407177i | ||||
\(914\) | −5.29976 | + | 15.7291i | −0.00579843 | + | 0.0172091i | ||||
\(915\) | −27.4947 | − | 259.105i | −0.0300488 | − | 0.283175i | ||||
\(916\) | −251.095 | + | 55.2701i | −0.274121 | + | 0.0603386i | ||||
\(917\) | −823.770 | + | 44.6635i | −0.898331 | + | 0.0487061i | ||||
\(918\) | 129.839 | − | 76.7423i | 0.141437 | − | 0.0835973i | ||||
\(919\) | 823.496 | − | 780.057i | 0.896078 | − | 0.848811i | −0.0930807 | − | 0.995659i | \(-0.529671\pi\) |
0.989159 | + | 0.146848i | \(0.0469128\pi\) | |||||||
\(920\) | 172.696 | + | 9.36332i | 0.187713 | + | 0.0101775i | ||||
\(921\) | −72.8508 | − | 108.053i | −0.0790996 | − | 0.117322i | ||||
\(922\) | −32.4877 | − | 47.9158i | −0.0352361 | − | 0.0519694i | ||||
\(923\) | −256.543 | − | 2358.87i | −0.277944 | − | 2.55565i | ||||
\(924\) | −64.4298 | + | 578.362i | −0.0697293 | + | 0.625932i | ||||
\(925\) | 777.722 | + | 171.189i | 0.840780 | + | 0.185070i | ||||
\(926\) | −959.046 | − | 157.228i | −1.03569 | − | 0.169792i | ||||
\(927\) | −375.127 | + | 1324.21i | −0.404668 | + | 1.42849i | ||||
\(928\) | 46.2468 | − | 166.566i | 0.0498349 | − | 0.179489i | ||||
\(929\) | 467.650 | − | 615.183i | 0.503391 | − | 0.662200i | −0.472278 | − | 0.881450i | \(-0.656568\pi\) |
0.975669 | + | 0.219250i | \(0.0703611\pi\) | |||||||
\(930\) | −600.593 | + | 200.618i | −0.645799 | + | 0.215718i | ||||
\(931\) | 226.490 | + | 427.205i | 0.243276 | + | 0.458867i | ||||
\(932\) | 592.230 | + | 235.966i | 0.635440 | + | 0.253182i | ||||
\(933\) | 623.057 | − | 526.434i | 0.667800 | − | 0.564238i | ||||
\(934\) | 447.277 | + | 526.575i | 0.478883 | + | 0.563785i | ||||
\(935\) | −128.316 | − | 68.0289i | −0.137237 | − | 0.0727582i | ||||
\(936\) | 464.614 | − | 126.388i | 0.496382 | − | 0.135030i | ||||
\(937\) | −1006.85 | − | 465.818i | −1.07454 | − | 0.497137i | −0.198864 | − | 0.980027i | \(-0.563725\pi\) |
−0.875681 | + | 0.482890i | \(0.839587\pi\) | |||||||
\(938\) | −934.171 | − | 793.492i | −0.995918 | − | 0.845940i | ||||
\(939\) | −444.072 | − | 422.854i | −0.472920 | − | 0.450323i | ||||
\(940\) | −84.2420 | + | 64.0391i | −0.0896191 | + | 0.0681267i | ||||
\(941\) | −139.171 | − | 231.304i | −0.147897 | − | 0.245807i | 0.774048 | − | 0.633126i | \(-0.218229\pi\) |
−0.921946 | + | 0.387319i | \(0.873401\pi\) | |||||||
\(942\) | 286.830 | + | 304.392i | 0.304491 | + | 0.323134i | ||||
\(943\) | −521.502 | −0.553025 | ||||||||
\(944\) | −234.207 | − | 29.0354i | −0.248101 | − | 0.0307578i | ||||
\(945\) | −626.068 | − | 179.124i | −0.662506 | − | 0.189549i | ||||
\(946\) | 247.182 | − | 83.2853i | 0.261292 | − | 0.0880395i | ||||
\(947\) | −318.077 | − | 528.649i | −0.335879 | − | 0.558235i | 0.642182 | − | 0.766552i | \(-0.278029\pi\) |
−0.978061 | + | 0.208317i | \(0.933202\pi\) | |||||||
\(948\) | 277.354 | − | 519.858i | 0.292567 | − | 0.548373i | ||||
\(949\) | −204.779 | − | 513.956i | −0.215784 | − | 0.541576i | ||||
\(950\) | 565.290 | + | 480.162i | 0.595043 | + | 0.505434i | ||||
\(951\) | −2.47567 | + | 947.653i | −0.00260323 | + | 0.996481i | ||||
\(952\) | −50.0078 | + | 73.7559i | −0.0525292 | + | 0.0774747i | ||||
\(953\) | 919.706 | + | 487.597i | 0.965064 | + | 0.511645i | 0.874911 | − | 0.484283i | \(-0.160920\pi\) |
0.0901528 | + | 0.995928i | \(0.471264\pi\) | |||||||
\(954\) | −1103.24 | − | 5.76431i | −1.15644 | − | 0.00604225i | ||||
\(955\) | 213.249 | + | 768.055i | 0.223298 | + | 0.804246i | ||||
\(956\) | 131.152 | + | 52.2557i | 0.137188 | + | 0.0546608i | ||||
\(957\) | −885.703 | − | 676.952i | −0.925500 | − | 0.707369i | ||||
\(958\) | −823.890 | − | 89.6034i | −0.860010 | − | 0.0935318i | ||||
\(959\) | 739.445 | − | 972.723i | 0.771058 | − | 1.01431i | ||||
\(960\) | −71.6448 | + | 11.5534i | −0.0746300 | + | 0.0120348i | ||||
\(961\) | 1338.95 | − | 619.466i | 1.39329 | − | 0.644605i | ||||
\(962\) | −1325.70 | − | 217.337i | −1.37806 | − | 0.225922i | ||||
\(963\) | 572.151 | + | 760.871i | 0.594134 | + | 0.790105i | ||||
\(964\) | 42.1529 | + | 25.3626i | 0.0437271 | + | 0.0263097i | ||||
\(965\) | −11.1770 | − | 102.770i | −0.0115823 | − | 0.106498i | ||||
\(966\) | −585.440 | − | 354.334i | −0.606045 | − | 0.366805i | ||||
\(967\) | 245.389 | + | 1496.81i | 0.253763 | + | 1.54789i | 0.739122 | + | 0.673571i | \(0.235241\pi\) |
−0.485359 | + | 0.874315i | \(0.661311\pi\) | |||||||
\(968\) | 75.8717 | + | 4.11364i | 0.0783799 | + | 0.00424963i | ||||
\(969\) | −363.709 | − | 146.017i | −0.375345 | − | 0.150689i | ||||
\(970\) | 241.227 | + | 228.502i | 0.248687 | + | 0.235569i | ||||
\(971\) | −783.671 | + | 42.4894i | −0.807077 | + | 0.0437584i | −0.453059 | − | 0.891480i | \(-0.649667\pi\) |
−0.354017 | + | 0.935239i | \(0.615185\pi\) | |||||||
\(972\) | −348.438 | − | 338.802i | −0.358476 | − | 0.348562i | ||||
\(973\) | −155.068 | − | 52.2484i | −0.159371 | − | 0.0536982i | ||||
\(974\) | 392.951 | − | 1166.24i | 0.403441 | − | 1.19737i | ||||
\(975\) | −717.742 | + | 542.661i | −0.736146 | + | 0.556575i | ||||
\(976\) | 6.22025 | + | 114.726i | 0.00637320 | + | 0.117547i | ||||
\(977\) | −734.788 | + | 775.707i | −0.752086 | + | 0.793968i | −0.983886 | − | 0.178796i | \(-0.942780\pi\) |
0.231800 | + | 0.972763i | \(0.425539\pi\) | |||||||
\(978\) | 504.563 | + | 202.565i | 0.515914 | + | 0.207122i | ||||
\(979\) | −73.8223 | + | 1361.57i | −0.0754058 | + | 1.39078i | ||||
\(980\) | 87.2470 | − | 14.3034i | 0.0890276 | − | 0.0145953i | ||||
\(981\) | −632.538 | − | 72.1386i | −0.644789 | − | 0.0735358i | ||||
\(982\) | 1081.01 | − | 117.566i | 1.10082 | − | 0.119721i | ||||
\(983\) | 81.0528 | − | 134.711i | 0.0824546 | − | 0.137041i | −0.812886 | − | 0.582423i | \(-0.802105\pi\) |
0.895340 | + | 0.445383i | \(0.146932\pi\) | |||||||
\(984\) | 213.830 | − | 46.4823i | 0.217307 | − | 0.0472381i | ||||
\(985\) | 138.509 | − | 844.868i | 0.140618 | − | 0.857734i | ||||
\(986\) | −71.6763 | − | 154.926i | −0.0726941 | − | 0.157126i | ||||
\(987\) | 413.360 | − | 66.6585i | 0.418804 | − | 0.0675365i | ||||
\(988\) | −996.077 | − | 757.198i | −1.00818 | − | 0.766395i | ||||
\(989\) | −33.1627 | + | 304.926i | −0.0335316 | + | 0.308318i | ||||
\(990\) | −102.991 | + | 456.517i | −0.104031 | + | 0.461128i | ||||
\(991\) | 184.281 | − | 462.510i | 0.185954 | − | 0.466710i | −0.806213 | − | 0.591625i | \(-0.798486\pi\) |
0.992167 | + | 0.124915i | \(0.0398658\pi\) | |||||||
\(992\) | 269.039 | − | 74.6983i | 0.271209 | − | 0.0753007i | ||||
\(993\) | −60.3558 | − | 28.1152i | −0.0607812 | − | 0.0283134i | ||||
\(994\) | 662.804 | − | 1250.18i | 0.666805 | − | 1.25773i | ||||
\(995\) | −736.492 | − | 499.354i | −0.740193 | − | 0.501863i | ||||
\(996\) | −2.22914 | + | 853.284i | −0.00223809 | + | 0.856711i | ||||
\(997\) | −1007.57 | + | 1186.20i | −1.01060 | + | 1.18977i | −0.0288514 | + | 0.999584i | \(0.509185\pi\) |
−0.981748 | + | 0.190186i | \(0.939091\pi\) | |||||||
\(998\) | 252.281 | − | 100.518i | 0.252787 | − | 0.100719i | ||||
\(999\) | 492.003 | + | 1263.55i | 0.492496 | + | 1.26481i |
(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 | 354.3.h.a.71.15 | yes | 1120 | |
3.2 | odd | 2 | inner | 354.3.h.a.71.39 | yes | 1120 | |
59.5 | even | 29 | inner | 354.3.h.a.5.39 | yes | 1120 | |
177.5 | odd | 58 | inner | 354.3.h.a.5.15 | ✓ | 1120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.3.h.a.5.15 | ✓ | 1120 | 177.5 | odd | 58 | inner | |
354.3.h.a.5.39 | yes | 1120 | 59.5 | even | 29 | inner | |
354.3.h.a.71.15 | yes | 1120 | 1.1 | even | 1 | trivial | |
354.3.h.a.71.39 | yes | 1120 | 3.2 | odd | 2 | inner |