Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,4,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), 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: | \(6.37220628062\) |
Analytic rank: | \(0\) |
Dimension: | \(312\) |
Relative dimension: | \(52\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Character | \(\chi\) | \(=\) | 108.11 |
Dual form | 108.4.l.a.59.2 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.81863 | + | 0.235239i | −0.996535 | + | 0.0831695i | ||||
\(3\) | −0.238051 | − | 5.19070i | −0.0458129 | − | 0.998950i | ||||
\(4\) | 7.88933 | − | 1.32610i | 0.986166 | − | 0.165763i | ||||
\(5\) | 5.65263 | − | 15.5305i | 0.505587 | − | 1.38909i | −0.380161 | − | 0.924920i | \(-0.624131\pi\) |
0.885747 | − | 0.464168i | \(-0.153646\pi\) | |||||||
\(6\) | 1.89203 | + | 14.5746i | 0.128736 | + | 0.991679i | ||||
\(7\) | 28.8083 | + | 5.07968i | 1.55550 | + | 0.274277i | 0.884272 | − | 0.466972i | \(-0.154655\pi\) |
0.671230 | + | 0.741249i | \(0.265766\pi\) | |||||||
\(8\) | −21.9251 | + | 5.59366i | −0.968963 | + | 0.247207i | ||||
\(9\) | −26.8867 | + | 2.47130i | −0.995802 | + | 0.0915297i | ||||
\(10\) | −12.2793 | + | 45.1044i | −0.388305 | + | 1.42632i | ||||
\(11\) | 42.0040 | − | 15.2882i | 1.15133 | − | 0.419052i | 0.305340 | − | 0.952243i | \(-0.401230\pi\) |
0.845994 | + | 0.533192i | \(0.179008\pi\) | |||||||
\(12\) | −8.76146 | − | 40.6354i | −0.210768 | − | 0.977536i | ||||
\(13\) | −18.8951 | + | 15.8549i | −0.403120 | + | 0.338258i | −0.821698 | − | 0.569923i | \(-0.806973\pi\) |
0.418578 | + | 0.908181i | \(0.362529\pi\) | |||||||
\(14\) | −82.3949 | − | 7.54090i | −1.57293 | − | 0.143956i | ||||
\(15\) | −81.9596 | − | 25.6440i | −1.41079 | − | 0.441418i | ||||
\(16\) | 60.4829 | − | 20.9241i | 0.945045 | − | 0.326939i | ||||
\(17\) | 20.5873 | − | 11.8861i | 0.293715 | − | 0.169577i | −0.345901 | − | 0.938271i | \(-0.612427\pi\) |
0.639616 | + | 0.768694i | \(0.279093\pi\) | |||||||
\(18\) | 75.2022 | − | 13.2905i | 0.984740 | − | 0.174033i | ||||
\(19\) | −18.5845 | − | 10.7297i | −0.224398 | − | 0.129556i | 0.383587 | − | 0.923505i | \(-0.374689\pi\) |
−0.607985 | + | 0.793948i | \(0.708022\pi\) | |||||||
\(20\) | 24.0005 | − | 130.021i | 0.268333 | − | 1.45368i | ||||
\(21\) | 19.5092 | − | 150.744i | 0.202727 | − | 1.56644i | ||||
\(22\) | −114.797 | + | 52.9727i | −1.11249 | + | 0.513356i | ||||
\(23\) | −27.8252 | − | 157.804i | −0.252259 | − | 1.43063i | −0.803012 | − | 0.595963i | \(-0.796771\pi\) |
0.550753 | − | 0.834668i | \(-0.314341\pi\) | |||||||
\(24\) | 34.2543 | + | 112.475i | 0.291339 | + | 0.956620i | ||||
\(25\) | −113.488 | − | 95.2277i | −0.907903 | − | 0.761821i | ||||
\(26\) | 49.5286 | − | 49.1339i | 0.373591 | − | 0.370614i | ||||
\(27\) | 19.2282 | + | 138.972i | 0.137054 | + | 0.990564i | ||||
\(28\) | 234.014 | + | 1.87251i | 1.57945 | + | 0.0126383i | ||||
\(29\) | −143.625 | + | 171.166i | −0.919675 | + | 1.09603i | 0.0754254 | + | 0.997151i | \(0.475969\pi\) |
−0.995100 | + | 0.0988740i | \(0.968476\pi\) | |||||||
\(30\) | 237.046 | + | 53.0009i | 1.44262 | + | 0.322553i | ||||
\(31\) | −25.3941 | + | 4.47767i | −0.147126 | + | 0.0259424i | −0.246726 | − | 0.969085i | \(-0.579355\pi\) |
0.0995998 | + | 0.995028i | \(0.468244\pi\) | |||||||
\(32\) | −165.557 | + | 73.2052i | −0.914580 | + | 0.404405i | ||||
\(33\) | −89.3555 | − | 214.391i | −0.471358 | − | 1.13093i | ||||
\(34\) | −55.2319 | + | 38.3454i | −0.278594 | + | 0.193417i | ||||
\(35\) | 241.733 | − | 418.693i | 1.16744 | − | 2.02206i | ||||
\(36\) | −208.840 | + | 55.1514i | −0.966854 | + | 0.255330i | ||||
\(37\) | 23.9890 | + | 41.5501i | 0.106588 | + | 0.184616i | 0.914386 | − | 0.404844i | \(-0.132674\pi\) |
−0.807798 | + | 0.589460i | \(0.799341\pi\) | |||||||
\(38\) | 54.9067 | + | 25.8714i | 0.234396 | + | 0.110444i | ||||
\(39\) | 86.7960 | + | 94.3046i | 0.356371 | + | 0.387201i | ||||
\(40\) | −37.0624 | + | 372.127i | −0.146502 | + | 1.47096i | ||||
\(41\) | −210.327 | − | 250.658i | −0.801159 | − | 0.954784i | 0.198521 | − | 0.980097i | \(-0.436386\pi\) |
−0.999680 | + | 0.0253129i | \(0.991942\pi\) | |||||||
\(42\) | −19.5283 | + | 429.482i | −0.0717449 | + | 1.57787i | ||||
\(43\) | 137.642 | + | 378.168i | 0.488144 | + | 1.34116i | 0.902359 | + | 0.430985i | \(0.141834\pi\) |
−0.414215 | + | 0.910179i | \(0.635944\pi\) | |||||||
\(44\) | 311.110 | − | 176.315i | 1.06594 | − | 0.604103i | ||||
\(45\) | −113.600 | + | 431.532i | −0.376322 | + | 1.42953i | ||||
\(46\) | 115.551 | + | 438.247i | 0.370370 | + | 1.40469i | ||||
\(47\) | −37.0973 | + | 210.389i | −0.115132 | + | 0.652946i | 0.871553 | + | 0.490302i | \(0.163113\pi\) |
−0.986685 | + | 0.162644i | \(0.947998\pi\) | |||||||
\(48\) | −123.009 | − | 308.967i | −0.369891 | − | 0.929075i | ||||
\(49\) | 481.801 | + | 175.361i | 1.40467 | + | 0.511257i | ||||
\(50\) | 342.281 | + | 241.715i | 0.968118 | + | 0.683672i | ||||
\(51\) | −66.5979 | − | 104.033i | −0.182854 | − | 0.285638i | ||||
\(52\) | −128.045 | + | 150.141i | −0.341473 | + | 0.400401i | ||||
\(53\) | 493.627i | 1.27934i | 0.768651 | + | 0.639669i | \(0.220928\pi\) | ||||
−0.768651 | + | 0.639669i | \(0.779072\pi\) | |||||||
\(54\) | −86.8887 | − | 387.188i | −0.218964 | − | 0.975733i | ||||
\(55\) | − | 738.761i | − | 1.81117i | ||||||
\(56\) | −660.040 | + | 49.7714i | −1.57503 | + | 0.118767i | ||||
\(57\) | −51.2708 | + | 99.0205i | −0.119140 | + | 0.230098i | ||||
\(58\) | 364.562 | − | 516.240i | 0.825332 | − | 1.16872i | ||||
\(59\) | 216.873 | + | 78.9353i | 0.478550 | + | 0.174178i | 0.570022 | − | 0.821630i | \(-0.306935\pi\) |
−0.0914715 | + | 0.995808i | \(0.529157\pi\) | |||||||
\(60\) | −680.613 | − | 93.6274i | −1.46445 | − | 0.201454i | ||||
\(61\) | 38.2585 | − | 216.975i | 0.0803033 | − | 0.455423i | −0.917968 | − | 0.396654i | \(-0.870171\pi\) |
0.998272 | − | 0.0587689i | \(-0.0187175\pi\) | |||||||
\(62\) | 70.5232 | − | 18.5946i | 0.144459 | − | 0.0380889i | ||||
\(63\) | −787.113 | − | 65.3817i | −1.57408 | − | 0.130751i | ||||
\(64\) | 449.422 | − | 245.284i | 0.877777 | − | 0.479069i | ||||
\(65\) | 139.427 | + | 383.072i | 0.266058 | + | 0.730989i | ||||
\(66\) | 302.293 | + | 583.268i | 0.563783 | + | 1.08781i | ||||
\(67\) | −41.7252 | − | 49.7261i | −0.0760827 | − | 0.0906718i | 0.726660 | − | 0.686997i | \(-0.241071\pi\) |
−0.802743 | + | 0.596325i | \(0.796627\pi\) | |||||||
\(68\) | 146.658 | − | 121.074i | 0.261542 | − | 0.215918i | ||||
\(69\) | −812.491 | + | 181.998i | −1.41757 | + | 0.317535i | ||||
\(70\) | −582.862 | + | 1237.01i | −0.995218 | + | 2.11215i | ||||
\(71\) | −111.513 | − | 193.146i | −0.186396 | − | 0.322848i | 0.757650 | − | 0.652661i | \(-0.226348\pi\) |
−0.944046 | + | 0.329813i | \(0.893014\pi\) | |||||||
\(72\) | 575.670 | − | 204.579i | 0.942268 | − | 0.334859i | ||||
\(73\) | 464.450 | − | 804.451i | 0.744655 | − | 1.28978i | −0.205701 | − | 0.978615i | \(-0.565948\pi\) |
0.950356 | − | 0.311165i | \(-0.100719\pi\) | |||||||
\(74\) | −77.3902 | − | 111.471i | −0.121573 | − | 0.175112i | ||||
\(75\) | −467.282 | + | 611.750i | −0.719428 | + | 0.941851i | ||||
\(76\) | −160.848 | − | 60.0055i | −0.242769 | − | 0.0905672i | ||||
\(77\) | 1287.72 | − | 227.060i | 1.90584 | − | 0.336051i | ||||
\(78\) | −266.830 | − | 245.392i | −0.387340 | − | 0.356220i | ||||
\(79\) | 521.573 | − | 621.586i | 0.742804 | − | 0.885239i | −0.253827 | − | 0.967250i | \(-0.581690\pi\) |
0.996631 | + | 0.0820101i | \(0.0261340\pi\) | |||||||
\(80\) | 16.9263 | − | 1057.60i | 0.0236553 | − | 1.47805i | ||||
\(81\) | 716.785 | − | 132.890i | 0.983245 | − | 0.182291i | ||||
\(82\) | 651.797 | + | 657.033i | 0.877792 | + | 0.884844i | ||||
\(83\) | 772.767 | + | 648.429i | 1.02195 | + | 0.857522i | 0.989872 | − | 0.141963i | \(-0.0453416\pi\) |
0.0320827 | + | 0.999485i | \(0.489786\pi\) | |||||||
\(84\) | −45.9877 | − | 1215.14i | −0.0597342 | − | 1.57837i | ||||
\(85\) | −68.2242 | − | 386.919i | −0.0870583 | − | 0.493732i | ||||
\(86\) | −476.921 | − | 1033.54i | −0.597996 | − | 1.29592i | ||||
\(87\) | 922.661 | + | 704.770i | 1.13701 | + | 0.868497i | ||||
\(88\) | −835.426 | + | 570.152i | −1.01201 | + | 0.690664i | ||||
\(89\) | −768.467 | − | 443.674i | −0.915251 | − | 0.528420i | −0.0331338 | − | 0.999451i | \(-0.510549\pi\) |
−0.882117 | + | 0.471031i | \(0.843882\pi\) | |||||||
\(90\) | 218.683 | − | 1243.05i | 0.256124 | − | 1.45588i | ||||
\(91\) | −624.875 | + | 360.772i | −0.719831 | + | 0.415595i | ||||
\(92\) | −428.787 | − | 1208.07i | −0.485914 | − | 1.36902i | ||||
\(93\) | 29.2873 | + | 130.747i | 0.0326554 | + | 0.145783i | ||||
\(94\) | 55.0718 | − | 601.736i | 0.0604279 | − | 0.660259i | ||||
\(95\) | −271.689 | + | 227.974i | −0.293418 | + | 0.246207i | ||||
\(96\) | 419.397 | + | 841.928i | 0.445880 | + | 0.895093i | ||||
\(97\) | −775.061 | + | 282.099i | −0.811294 | + | 0.295287i | −0.714158 | − | 0.699984i | \(-0.753190\pi\) |
−0.0971357 | + | 0.995271i | \(0.530968\pi\) | |||||||
\(98\) | −1399.27 | − | 380.940i | −1.44232 | − | 0.392661i | ||||
\(99\) | −1091.57 | + | 514.853i | −1.10815 | + | 0.522674i | ||||
\(100\) | −1021.62 | − | 600.786i | −1.02162 | − | 0.600786i | ||||
\(101\) | 1401.66 | + | 247.150i | 1.38089 | + | 0.243489i | 0.814269 | − | 0.580487i | \(-0.197138\pi\) |
0.566625 | + | 0.823976i | \(0.308249\pi\) | |||||||
\(102\) | 212.187 | + | 277.564i | 0.205977 | + | 0.269440i | ||||
\(103\) | −229.312 | + | 630.029i | −0.219367 | + | 0.602705i | −0.999745 | − | 0.0226031i | \(-0.992805\pi\) |
0.780378 | + | 0.625308i | \(0.215027\pi\) | |||||||
\(104\) | 325.591 | − | 453.313i | 0.306989 | − | 0.427414i | ||||
\(105\) | −2230.85 | − | 1155.09i | −2.07342 | − | 1.07357i | ||||
\(106\) | −116.120 | − | 1391.35i | −0.106402 | − | 1.27491i | ||||
\(107\) | 708.383 | 0.640019 | 0.320009 | − | 0.947414i | \(-0.396314\pi\) | ||||
0.320009 | + | 0.947414i | \(0.396314\pi\) | |||||||
\(108\) | 335.989 | + | 1070.90i | 0.299357 | + | 0.954141i | ||||
\(109\) | 1124.74 | 0.988354 | 0.494177 | − | 0.869361i | \(-0.335470\pi\) | ||||
0.494177 | + | 0.869361i | \(0.335470\pi\) | |||||||
\(110\) | 173.785 | + | 2082.29i | 0.150634 | + | 1.80490i | ||||
\(111\) | 209.963 | − | 134.411i | 0.179539 | − | 0.114934i | ||||
\(112\) | 1848.70 | − | 295.554i | 1.55969 | − | 0.249350i | ||||
\(113\) | −701.978 | + | 1928.67i | −0.584395 | + | 1.60561i | 0.196194 | + | 0.980565i | \(0.437142\pi\) |
−0.780588 | + | 0.625046i | \(0.785080\pi\) | |||||||
\(114\) | 121.220 | − | 291.163i | 0.0995901 | − | 0.239210i | ||||
\(115\) | −2608.06 | − | 459.872i | −2.11481 | − | 0.372898i | ||||
\(116\) | −906.124 | + | 1540.85i | −0.725271 | + | 1.23331i | ||||
\(117\) | 468.845 | − | 472.981i | 0.370468 | − | 0.373736i | ||||
\(118\) | −629.853 | − | 171.472i | −0.491379 | − | 0.133774i | ||||
\(119\) | 653.464 | − | 237.841i | 0.503386 | − | 0.183217i | ||||
\(120\) | 1940.42 | + | 103.794i | 1.47613 | + | 0.0789590i | ||||
\(121\) | 511.002 | − | 428.781i | 0.383923 | − | 0.322150i | ||||
\(122\) | −56.7956 | + | 620.571i | −0.0421478 | + | 0.460524i | ||||
\(123\) | −1251.02 | + | 1151.41i | −0.917078 | + | 0.844059i | ||||
\(124\) | −194.405 | + | 69.0010i | −0.140791 | + | 0.0499715i | ||||
\(125\) | −331.316 | + | 191.285i | −0.237070 | + | 0.136873i | ||||
\(126\) | 2233.96 | − | 0.872933i | 1.57950 | − | 0.000617199i | ||||
\(127\) | 1274.53 | + | 735.853i | 0.890525 | + | 0.514145i | 0.874114 | − | 0.485720i | \(-0.161443\pi\) |
0.0164109 | + | 0.999865i | \(0.494776\pi\) | |||||||
\(128\) | −1209.05 | + | 797.084i | −0.834892 | + | 0.550414i | ||||
\(129\) | 1930.19 | − | 804.480i | 1.31739 | − | 0.549074i | ||||
\(130\) | −483.106 | − | 1046.94i | −0.325932 | − | 0.706328i | ||||
\(131\) | −159.090 | − | 902.242i | −0.106105 | − | 0.601750i | −0.990773 | − | 0.135529i | \(-0.956726\pi\) |
0.884669 | − | 0.466220i | \(-0.154385\pi\) | |||||||
\(132\) | −989.259 | − | 1572.90i | −0.652302 | − | 1.03715i | ||||
\(133\) | −480.883 | − | 403.509i | −0.313518 | − | 0.263073i | ||||
\(134\) | 129.305 | + | 130.344i | 0.0833603 | + | 0.0840299i | ||||
\(135\) | 2266.99 | + | 486.936i | 1.44527 | + | 0.310435i | ||||
\(136\) | −384.893 | + | 375.763i | −0.242678 | + | 0.236922i | ||||
\(137\) | −1677.03 | + | 1998.60i | −1.04583 | + | 1.24637i | −0.0774161 | + | 0.996999i | \(0.524667\pi\) |
−0.968409 | + | 0.249367i | \(0.919777\pi\) | |||||||
\(138\) | 2247.30 | − | 704.113i | 1.38625 | − | 0.434334i | ||||
\(139\) | −204.839 | + | 36.1187i | −0.124994 | + | 0.0220399i | −0.235795 | − | 0.971803i | \(-0.575770\pi\) |
0.110801 | + | 0.993843i | \(0.464658\pi\) | |||||||
\(140\) | 1351.88 | − | 3623.77i | 0.816104 | − | 2.18760i | ||||
\(141\) | 1100.90 | + | 142.478i | 0.657535 | + | 0.0850977i | ||||
\(142\) | 359.749 | + | 518.175i | 0.212602 | + | 0.306227i | ||||
\(143\) | −551.278 | + | 954.842i | −0.322379 | + | 0.558377i | ||||
\(144\) | −1574.47 | + | 712.051i | −0.911154 | + | 0.412066i | ||||
\(145\) | 1846.43 | + | 3198.11i | 1.05750 | + | 1.83164i | ||||
\(146\) | −1119.87 | + | 2376.71i | −0.634804 | + | 1.34724i | ||||
\(147\) | 795.554 | − | 2542.63i | 0.446369 | − | 1.42662i | ||||
\(148\) | 244.357 | + | 295.991i | 0.135716 | + | 0.164394i | ||||
\(149\) | 1079.97 | + | 1287.06i | 0.593791 | + | 0.707653i | 0.976330 | − | 0.216287i | \(-0.0693946\pi\) |
−0.382539 | + | 0.923939i | \(0.624950\pi\) | |||||||
\(150\) | 1173.19 | − | 1834.22i | 0.638602 | − | 0.998423i | ||||
\(151\) | −992.068 | − | 2725.68i | −0.534658 | − | 1.46896i | −0.853470 | − | 0.521143i | \(-0.825506\pi\) |
0.318812 | − | 0.947818i | \(-0.396716\pi\) | |||||||
\(152\) | 467.485 | + | 131.296i | 0.249461 | + | 0.0700624i | ||||
\(153\) | −524.150 | + | 370.455i | −0.276961 | + | 0.195748i | ||||
\(154\) | −3576.20 | + | 942.922i | −1.87129 | + | 0.493395i | ||||
\(155\) | −74.0033 | + | 419.693i | −0.0383489 | + | 0.217488i | ||||
\(156\) | 809.819 | + | 628.899i | 0.415624 | + | 0.322771i | ||||
\(157\) | −227.805 | − | 82.9143i | −0.115802 | − | 0.0421483i | 0.283469 | − | 0.958981i | \(-0.408515\pi\) |
−0.399271 | + | 0.916833i | \(0.630737\pi\) | |||||||
\(158\) | −1323.90 | + | 1874.71i | −0.666606 | + | 0.943951i | ||||
\(159\) | 2562.27 | − | 117.508i | 1.27799 | − | 0.0586102i | ||||
\(160\) | 201.081 | + | 2984.98i | 0.0993552 | + | 1.47489i | ||||
\(161\) | − | 4687.42i | − | 2.29454i | ||||||
\(162\) | −1989.09 | + | 543.184i | −0.964677 | + | 0.263435i | ||||
\(163\) | 71.7825i | 0.0344935i | 0.999851 | + | 0.0172467i | \(0.00549008\pi\) | ||||
−0.999851 | + | 0.0172467i | \(0.994510\pi\) | |||||||
\(164\) | −1991.73 | − | 1698.60i | −0.948343 | − | 0.808773i | ||||
\(165\) | −3834.68 | + | 175.863i | −1.80927 | + | 0.0829752i | ||||
\(166\) | −2330.68 | − | 1645.89i | −1.08973 | − | 0.769555i | ||||
\(167\) | 1208.55 | + | 439.877i | 0.560004 | + | 0.203825i | 0.606486 | − | 0.795095i | \(-0.292579\pi\) |
−0.0464820 | + | 0.998919i | \(0.514801\pi\) | |||||||
\(168\) | 415.471 | + | 3414.22i | 0.190799 | + | 1.56793i | ||||
\(169\) | −275.857 | + | 1564.46i | −0.125561 | + | 0.712090i | ||||
\(170\) | 283.317 | + | 1074.53i | 0.127820 | + | 0.484781i | ||||
\(171\) | 526.190 | + | 242.559i | 0.235315 | + | 0.108473i | ||||
\(172\) | 1587.39 | + | 2800.96i | 0.703706 | + | 1.24169i | ||||
\(173\) | 16.2625 | + | 44.6810i | 0.00714693 | + | 0.0196360i | 0.943215 | − | 0.332183i | \(-0.107785\pi\) |
−0.936068 | + | 0.351819i | \(0.885563\pi\) | |||||||
\(174\) | −2766.43 | − | 1769.44i | −1.20530 | − | 0.770923i | ||||
\(175\) | −2785.67 | − | 3319.83i | −1.20330 | − | 1.43403i | ||||
\(176\) | 2220.63 | − | 1803.57i | 0.951059 | − | 0.772439i | ||||
\(177\) | 358.102 | − | 1144.51i | 0.152071 | − | 0.486027i | ||||
\(178\) | 2270.39 | + | 1069.78i | 0.956028 | + | 0.450468i | ||||
\(179\) | −388.114 | − | 672.234i | −0.162062 | − | 0.280699i | 0.773546 | − | 0.633740i | \(-0.218481\pi\) |
−0.935608 | + | 0.353041i | \(0.885148\pi\) | |||||||
\(180\) | −323.971 | + | 3555.14i | −0.134152 | + | 1.47214i | ||||
\(181\) | 1964.21 | − | 3402.10i | 0.806620 | − | 1.39711i | −0.108572 | − | 0.994089i | \(-0.534628\pi\) |
0.915192 | − | 0.403018i | \(-0.132039\pi\) | |||||||
\(182\) | 1676.42 | − | 1163.88i | 0.682773 | − | 0.474023i | ||||
\(183\) | −1135.36 | − | 146.937i | −0.458623 | − | 0.0593547i | ||||
\(184\) | 1492.78 | + | 3304.24i | 0.598092 | + | 1.32387i | ||||
\(185\) | 780.894 | − | 137.693i | 0.310338 | − | 0.0547209i | ||||
\(186\) | −113.307 | − | 361.638i | −0.0446670 | − | 0.142562i | ||||
\(187\) | 683.033 | − | 814.007i | 0.267103 | − | 0.318321i | ||||
\(188\) | −13.6751 | + | 1709.03i | −0.00530510 | + | 0.662997i | ||||
\(189\) | −152.003 | + | 4101.23i | −0.0585007 | + | 1.57842i | ||||
\(190\) | 712.162 | − | 706.486i | 0.271924 | − | 0.269757i | ||||
\(191\) | −592.016 | − | 496.760i | −0.224276 | − | 0.188190i | 0.523725 | − | 0.851887i | \(-0.324542\pi\) |
−0.748001 | + | 0.663697i | \(0.768986\pi\) | |||||||
\(192\) | −1380.18 | − | 2274.42i | −0.518780 | − | 0.854908i | ||||
\(193\) | −793.268 | − | 4498.85i | −0.295858 | − | 1.67790i | −0.663693 | − | 0.748005i | \(-0.731012\pi\) |
0.367834 | − | 0.929891i | \(-0.380099\pi\) | |||||||
\(194\) | 2118.25 | − | 977.457i | 0.783924 | − | 0.361739i | ||||
\(195\) | 1955.22 | − | 814.913i | 0.718032 | − | 0.299268i | ||||
\(196\) | 4033.63 | + | 744.565i | 1.46998 | + | 0.271343i | ||||
\(197\) | −2854.07 | − | 1647.80i | −1.03220 | − | 0.595943i | −0.114588 | − | 0.993413i | \(-0.536555\pi\) |
−0.917615 | + | 0.397471i | \(0.869888\pi\) | |||||||
\(198\) | 2955.60 | − | 1707.96i | 1.06084 | − | 0.613027i | ||||
\(199\) | 1421.21 | − | 820.538i | 0.506267 | − | 0.292294i | −0.225031 | − | 0.974352i | \(-0.572248\pi\) |
0.731298 | + | 0.682058i | \(0.238915\pi\) | |||||||
\(200\) | 3020.91 | + | 1453.06i | 1.06805 | + | 0.513736i | ||||
\(201\) | −248.181 | + | 228.420i | −0.0870911 | + | 0.0801568i | ||||
\(202\) | −4008.89 | − | 366.900i | −1.39636 | − | 0.127797i | ||||
\(203\) | −5007.07 | + | 4201.43i | −1.73117 | + | 1.45263i | ||||
\(204\) | −663.371 | − | 732.435i | −0.227673 | − | 0.251376i | ||||
\(205\) | −5081.73 | + | 1849.60i | −1.73133 | + | 0.630154i | ||||
\(206\) | 498.138 | − | 1829.76i | 0.168480 | − | 0.618862i | ||||
\(207\) | 1138.11 | + | 4174.07i | 0.382145 | + | 1.40154i | ||||
\(208\) | −811.083 | + | 1354.31i | −0.270377 | + | 0.451465i | ||||
\(209\) | −944.660 | − | 166.569i | −0.312648 | − | 0.0551283i | ||||
\(210\) | 6559.67 | + | 2730.99i | 2.15553 | + | 0.897410i | ||||
\(211\) | −981.341 | + | 2696.21i | −0.320182 | + | 0.879692i | 0.670305 | + | 0.742085i | \(0.266163\pi\) |
−0.990487 | + | 0.137606i | \(0.956059\pi\) | |||||||
\(212\) | 654.600 | + | 3894.38i | 0.212067 | + | 1.26164i | ||||
\(213\) | −976.017 | + | 624.808i | −0.313970 | + | 0.200991i | ||||
\(214\) | −1996.67 | + | 166.639i | −0.637801 | + | 0.0532300i | ||||
\(215\) | 6651.16 | 2.10979 | ||||||||
\(216\) | −1198.94 | − | 2939.43i | −0.377675 | − | 0.925938i | ||||
\(217\) | −754.307 | −0.235971 | ||||||||
\(218\) | −3170.22 | + | 264.583i | −0.984930 | + | 0.0822009i | ||||
\(219\) | −4286.23 | − | 2219.32i | −1.32254 | − | 0.684784i | ||||
\(220\) | −979.672 | − | 5828.32i | −0.300225 | − | 1.78612i | ||||
\(221\) | −200.547 | + | 550.999i | −0.0610419 | + | 0.167711i | ||||
\(222\) | −560.190 | + | 428.245i | −0.169358 | + | 0.129468i | ||||
\(223\) | 5251.43 | + | 925.969i | 1.57696 | + | 0.278060i | 0.892519 | − | 0.451010i | \(-0.148936\pi\) |
0.684439 | + | 0.729070i | \(0.260047\pi\) | |||||||
\(224\) | −5141.27 | + | 1267.94i | −1.53355 | + | 0.378205i | ||||
\(225\) | 3286.65 | + | 2279.89i | 0.973822 | + | 0.675523i | ||||
\(226\) | 1524.92 | − | 5601.34i | 0.448832 | − | 1.64865i | ||||
\(227\) | −1767.22 | + | 643.216i | −0.516717 | + | 0.188069i | −0.587198 | − | 0.809444i | \(-0.699769\pi\) |
0.0704810 | + | 0.997513i | \(0.477547\pi\) | |||||||
\(228\) | −273.181 | + | 849.195i | −0.0793501 | + | 0.246664i | ||||
\(229\) | −2466.49 | + | 2069.63i | −0.711749 | + | 0.597228i | −0.925089 | − | 0.379750i | \(-0.876010\pi\) |
0.213340 | + | 0.976978i | \(0.431566\pi\) | |||||||
\(230\) | 7459.34 | + | 682.690i | 2.13850 | + | 0.195718i | ||||
\(231\) | −1485.15 | − | 6630.13i | −0.423011 | − | 1.88844i | ||||
\(232\) | 2191.56 | − | 4556.23i | 0.620185 | − | 1.28936i | ||||
\(233\) | −1841.44 | + | 1063.16i | −0.517755 | + | 0.298926i | −0.736016 | − | 0.676965i | \(-0.763295\pi\) |
0.218261 | + | 0.975891i | \(0.429962\pi\) | |||||||
\(234\) | −1210.24 | + | 1443.45i | −0.338101 | + | 0.403253i | ||||
\(235\) | 3057.75 | + | 1765.39i | 0.848790 | + | 0.490049i | ||||
\(236\) | 1815.66 | + | 335.151i | 0.500802 | + | 0.0924426i | ||||
\(237\) | −3350.63 | − | 2559.36i | −0.918340 | − | 0.701469i | ||||
\(238\) | −1785.92 | + | 824.106i | −0.486404 | + | 0.224449i | ||||
\(239\) | −767.348 | − | 4351.85i | −0.207680 | − | 1.17781i | −0.893166 | − | 0.449728i | \(-0.851521\pi\) |
0.685485 | − | 0.728087i | \(-0.259590\pi\) | |||||||
\(240\) | −5493.73 | + | 163.904i | −1.47758 | + | 0.0440833i | ||||
\(241\) | −305.357 | − | 256.225i | −0.0816174 | − | 0.0684852i | 0.601066 | − | 0.799199i | \(-0.294743\pi\) |
−0.682684 | + | 0.730714i | \(0.739187\pi\) | |||||||
\(242\) | −1339.46 | + | 1328.78i | −0.355800 | + | 0.352964i | ||||
\(243\) | −860.424 | − | 3688.98i | −0.227145 | − | 0.973861i | ||||
\(244\) | 14.1031 | − | 1762.52i | 0.00370025 | − | 0.462433i | ||||
\(245\) | 5446.89 | − | 6491.35i | 1.42036 | − | 1.69272i | ||||
\(246\) | 3255.30 | − | 3539.69i | 0.843701 | − | 0.917408i | ||||
\(247\) | 521.275 | − | 91.9148i | 0.134283 | − | 0.0236777i | ||||
\(248\) | 531.723 | − | 240.220i | 0.136147 | − | 0.0615079i | ||||
\(249\) | 3181.84 | − | 4165.56i | 0.809803 | − | 1.06017i | ||||
\(250\) | 888.859 | − | 617.101i | 0.224865 | − | 0.156116i | ||||
\(251\) | 48.7845 | − | 84.4972i | 0.0122679 | − | 0.0212487i | −0.859826 | − | 0.510587i | \(-0.829428\pi\) |
0.872094 | + | 0.489338i | \(0.162762\pi\) | |||||||
\(252\) | −6296.49 | + | 527.975i | −1.57398 | + | 0.131981i | ||||
\(253\) | −3581.32 | − | 6203.02i | −0.889942 | − | 1.54143i | ||||
\(254\) | −3765.54 | − | 1774.28i | −0.930201 | − | 0.438299i | ||||
\(255\) | −1992.14 | + | 446.237i | −0.489225 | + | 0.109586i | ||||
\(256\) | 3220.36 | − | 2531.10i | 0.786222 | − | 0.617945i | ||||
\(257\) | 1393.76 | + | 1661.02i | 0.338290 | + | 0.403159i | 0.908192 | − | 0.418554i | \(-0.137463\pi\) |
−0.569902 | + | 0.821713i | \(0.693019\pi\) | |||||||
\(258\) | −5251.24 | + | 2721.59i | −1.26716 | + | 0.656738i | ||||
\(259\) | 480.020 | + | 1318.85i | 0.115162 | + | 0.316406i | ||||
\(260\) | 1607.98 | + | 2837.29i | 0.383548 | + | 0.676773i | ||||
\(261\) | 3438.60 | − | 4957.03i | 0.815495 | − | 1.17560i | ||||
\(262\) | 660.657 | + | 2505.66i | 0.155784 | + | 0.590840i | ||||
\(263\) | −163.989 | + | 930.026i | −0.0384486 | + | 0.218053i | −0.997978 | − | 0.0635544i | \(-0.979756\pi\) |
0.959530 | + | 0.281607i | \(0.0908675\pi\) | |||||||
\(264\) | 3158.36 | + | 4200.72i | 0.736302 | + | 0.979304i | ||||
\(265\) | 7666.26 | + | 2790.29i | 1.77711 | + | 0.646816i | ||||
\(266\) | 1450.35 | + | 1024.22i | 0.334311 | + | 0.236086i | ||||
\(267\) | −2120.04 | + | 4094.49i | −0.485935 | + | 0.938498i | ||||
\(268\) | −395.125 | − | 336.974i | −0.0900602 | − | 0.0768058i | ||||
\(269\) | 1446.29i | 0.327814i | 0.986476 | + | 0.163907i | \(0.0524097\pi\) | ||||
−0.986476 | + | 0.163907i | \(0.947590\pi\) | |||||||
\(270\) | −6504.36 | − | 839.206i | −1.46608 | − | 0.189157i | ||||
\(271\) | 8626.74i | 1.93372i | 0.255312 | + | 0.966859i | \(0.417822\pi\) | ||||
−0.255312 | + | 0.966859i | \(0.582178\pi\) | |||||||
\(272\) | 996.475 | − | 1149.68i | 0.222133 | − | 0.256285i | ||||
\(273\) | 2021.41 | + | 3157.65i | 0.448136 | + | 0.700036i | ||||
\(274\) | 4256.76 | − | 6027.82i | 0.938542 | − | 1.32903i | ||||
\(275\) | −6222.81 | − | 2264.92i | −1.36454 | − | 0.496653i | ||||
\(276\) | −6168.66 | + | 2513.28i | −1.34533 | + | 0.548123i | ||||
\(277\) | −482.192 | + | 2734.65i | −0.104592 | + | 0.593173i | 0.886790 | + | 0.462173i | \(0.152930\pi\) |
−0.991382 | + | 0.131000i | \(0.958181\pi\) | |||||||
\(278\) | 568.869 | − | 149.991i | 0.122728 | − | 0.0323593i | ||||
\(279\) | 671.697 | − | 183.146i | 0.144134 | − | 0.0392999i | ||||
\(280\) | −2957.99 | + | 10532.1i | −0.631334 | + | 2.24790i | ||||
\(281\) | −163.822 | − | 450.098i | −0.0347787 | − | 0.0955538i | 0.921088 | − | 0.389355i | \(-0.127302\pi\) |
−0.955867 | + | 0.293801i | \(0.905080\pi\) | |||||||
\(282\) | −3136.54 | − | 142.617i | −0.662334 | − | 0.0301160i | ||||
\(283\) | 3102.93 | + | 3697.92i | 0.651766 | + | 0.776745i | 0.986179 | − | 0.165682i | \(-0.0529824\pi\) |
−0.334413 | + | 0.942427i | \(0.608538\pi\) | |||||||
\(284\) | −1135.89 | − | 1375.91i | −0.237334 | − | 0.287484i | ||||
\(285\) | 1248.02 | + | 1355.99i | 0.259391 | + | 0.281830i | ||||
\(286\) | 1329.23 | − | 2821.03i | 0.274822 | − | 0.583254i | ||||
\(287\) | −4785.90 | − | 8289.41i | −0.984329 | − | 1.70491i | ||||
\(288\) | 4270.35 | − | 2377.38i | 0.873726 | − | 0.486419i | ||||
\(289\) | −2173.94 | + | 3765.38i | −0.442488 | + | 0.766411i | ||||
\(290\) | −5956.72 | − | 8579.93i | −1.20617 | − | 1.73735i | ||||
\(291\) | 1648.80 | + | 3955.95i | 0.332145 | + | 0.796914i | ||||
\(292\) | 2597.41 | − | 6962.49i | 0.520555 | − | 1.39537i | ||||
\(293\) | 1836.64 | − | 323.850i | 0.366204 | − | 0.0645717i | 0.0124817 | − | 0.999922i | \(-0.496027\pi\) |
0.353722 | + | 0.935350i | \(0.384916\pi\) | |||||||
\(294\) | −1644.25 | + | 7353.87i | −0.326171 | + | 1.45880i | ||||
\(295\) | 2451.81 | − | 2921.95i | 0.483897 | − | 0.576686i | ||||
\(296\) | −758.379 | − | 776.805i | −0.148918 | − | 0.152537i | ||||
\(297\) | 2932.30 | + | 5543.43i | 0.572893 | + | 1.08304i | ||||
\(298\) | −3346.81 | − | 3373.70i | −0.650589 | − | 0.655816i | ||||
\(299\) | 3027.73 | + | 2540.57i | 0.585613 | + | 0.491388i | ||||
\(300\) | −2875.30 | + | 5445.96i | −0.553351 | + | 1.04808i | ||||
\(301\) | 2044.26 | + | 11593.6i | 0.391458 | + | 2.22007i | ||||
\(302\) | 3437.46 | + | 7449.32i | 0.654978 | + | 1.41940i | ||||
\(303\) | 949.216 | − | 7334.42i | 0.179970 | − | 1.39060i | ||||
\(304\) | −1348.55 | − | 260.103i | −0.254424 | − | 0.0490721i | ||||
\(305\) | −3153.46 | − | 1820.65i | −0.592022 | − | 0.341804i | ||||
\(306\) | 1390.24 | − | 1167.48i | 0.259721 | − | 0.218105i | ||||
\(307\) | 37.1091 | − | 21.4250i | 0.00689880 | − | 0.00398302i | −0.496547 | − | 0.868010i | \(-0.665399\pi\) |
0.503445 | + | 0.864027i | \(0.332065\pi\) | |||||||
\(308\) | 9858.17 | − | 3499.01i | 1.82377 | − | 0.647320i | ||||
\(309\) | 3324.88 | + | 1040.31i | 0.612122 | + | 0.191525i | ||||
\(310\) | 109.859 | − | 1200.37i | 0.0201277 | − | 0.219924i | ||||
\(311\) | 3824.94 | − | 3209.50i | 0.697403 | − | 0.585190i | −0.223631 | − | 0.974674i | \(-0.571791\pi\) |
0.921033 | + | 0.389484i | \(0.127347\pi\) | |||||||
\(312\) | −2430.52 | − | 1582.13i | −0.441029 | − | 0.287085i | ||||
\(313\) | −5022.25 | + | 1827.95i | −0.906947 | + | 0.330102i | −0.753033 | − | 0.657982i | \(-0.771410\pi\) |
−0.153914 | + | 0.988084i | \(0.549188\pi\) | |||||||
\(314\) | 661.603 | + | 180.116i | 0.118906 | + | 0.0323711i | ||||
\(315\) | −5464.67 | + | 11854.7i | −0.977458 | + | 2.12043i | ||||
\(316\) | 3290.57 | − | 5595.55i | 0.585788 | − | 0.996122i | ||||
\(317\) | 5086.93 | + | 896.963i | 0.901295 | + | 0.158923i | 0.605048 | − | 0.796189i | \(-0.293154\pi\) |
0.296247 | + | 0.955111i | \(0.404265\pi\) | |||||||
\(318\) | −7194.44 | + | 933.958i | −1.26869 | + | 0.164697i | ||||
\(319\) | −3416.02 | + | 9385.43i | −0.599562 | + | 1.64728i | ||||
\(320\) | −1268.95 | − | 8366.23i | −0.221677 | − | 1.46152i | ||||
\(321\) | −168.631 | − | 3677.00i | −0.0293211 | − | 0.639347i | ||||
\(322\) | 1102.66 | + | 13212.1i | 0.190836 | + | 2.28659i | ||||
\(323\) | −510.139 | −0.0878789 | ||||||||
\(324\) | 5478.73 | − | 1998.94i | 0.939425 | − | 0.342754i | ||||
\(325\) | 3654.19 | 0.623687 | ||||||||
\(326\) | −16.8860 | − | 202.328i | −0.00286881 | − | 0.0343740i | ||||
\(327\) | −267.746 | − | 5838.18i | −0.0452794 | − | 0.987316i | ||||
\(328\) | 6013.53 | + | 4319.20i | 1.01232 | + | 0.727097i | ||||
\(329\) | −2137.42 | + | 5872.52i | −0.358176 | + | 0.984081i | ||||
\(330\) | 10767.2 | − | 1397.76i | 1.79610 | − | 0.233164i | ||||
\(331\) | −2550.19 | − | 449.667i | −0.423477 | − | 0.0746705i | −0.0421516 | − | 0.999111i | \(-0.513421\pi\) |
−0.381326 | + | 0.924441i | \(0.624532\pi\) | |||||||
\(332\) | 6956.50 | + | 4090.90i | 1.14996 | + | 0.676256i | ||||
\(333\) | −747.666 | − | 1057.86i | −0.123039 | − | 0.174085i | ||||
\(334\) | −3509.94 | − | 955.551i | −0.575015 | − | 0.156543i | ||||
\(335\) | −1008.13 | + | 366.928i | −0.164418 | + | 0.0598431i | ||||
\(336\) | −1974.22 | − | 9525.68i | −0.320543 | − | 1.54663i | ||||
\(337\) | −1575.64 | + | 1322.12i | −0.254690 | + | 0.213710i | −0.761189 | − | 0.648530i | \(-0.775384\pi\) |
0.506499 | + | 0.862241i | \(0.330940\pi\) | |||||||
\(338\) | 409.515 | − | 4474.53i | 0.0659015 | − | 0.720066i | ||||
\(339\) | 10178.2 | + | 3184.64i | 1.63070 | + | 0.510223i | ||||
\(340\) | −1051.34 | − | 2962.05i | −0.167696 | − | 0.472470i | ||||
\(341\) | −998.199 | + | 576.311i | −0.158521 | + | 0.0915219i | ||||
\(342\) | −1540.19 | − | 559.903i | −0.243521 | − | 0.0885266i | ||||
\(343\) | 4299.68 | + | 2482.42i | 0.676853 | + | 0.390781i | ||||
\(344\) | −5133.16 | − | 7521.45i | −0.804539 | − | 1.17886i | ||||
\(345\) | −1766.20 | + | 13647.1i | −0.275621 | + | 2.12967i | ||||
\(346\) | −56.3488 | − | 122.113i | −0.00875529 | − | 0.0189736i | ||||
\(347\) | 78.1244 | + | 443.065i | 0.0120863 | + | 0.0685447i | 0.990254 | − | 0.139271i | \(-0.0444758\pi\) |
−0.978168 | + | 0.207815i | \(0.933365\pi\) | |||||||
\(348\) | 8213.77 | + | 4336.61i | 1.26524 | + | 0.668008i | ||||
\(349\) | 1672.47 | + | 1403.37i | 0.256519 | + | 0.215245i | 0.761974 | − | 0.647608i | \(-0.224231\pi\) |
−0.505454 | + | 0.862853i | \(0.668675\pi\) | |||||||
\(350\) | 8632.72 | + | 8702.07i | 1.31840 | + | 1.32899i | ||||
\(351\) | −2566.71 | − | 2321.04i | −0.390316 | − | 0.352957i | ||||
\(352\) | −5834.87 | + | 5605.97i | −0.883521 | + | 0.848862i | ||||
\(353\) | 4427.79 | − | 5276.83i | 0.667613 | − | 0.795630i | −0.320844 | − | 0.947132i | \(-0.603967\pi\) |
0.988457 | + | 0.151502i | \(0.0484111\pi\) | |||||||
\(354\) | −740.124 | + | 3310.19i | −0.111122 | + | 0.496991i | ||||
\(355\) | −3629.99 | + | 640.065i | −0.542704 | + | 0.0956934i | ||||
\(356\) | −6651.04 | − | 2481.23i | −0.990181 | − | 0.369395i | ||||
\(357\) | −1390.12 | − | 3335.31i | −0.206087 | − | 0.494464i | ||||
\(358\) | 1252.09 | + | 1803.48i | 0.184846 | + | 0.266248i | ||||
\(359\) | −4311.01 | + | 7466.89i | −0.633778 | + | 1.09774i | 0.352994 | + | 0.935625i | \(0.385164\pi\) |
−0.986773 | + | 0.162111i | \(0.948170\pi\) | |||||||
\(360\) | 76.8461 | − | 10096.8i | 0.0112504 | − | 1.47819i | ||||
\(361\) | −3199.25 | − | 5541.26i | −0.466430 | − | 0.807881i | ||||
\(362\) | −4736.06 | + | 10051.3i | −0.687629 | + | 1.45935i | ||||
\(363\) | −2347.32 | − | 2550.38i | −0.339400 | − | 0.368761i | ||||
\(364\) | −4451.42 | + | 3674.89i | −0.640983 | + | 0.529167i | ||||
\(365\) | −9868.15 | − | 11760.4i | −1.41513 | − | 1.68649i | ||||
\(366\) | 3234.72 | + | 147.081i | 0.461971 | + | 0.0210056i | ||||
\(367\) | 42.5720 | + | 116.966i | 0.00605516 | + | 0.0166364i | 0.942683 | − | 0.333689i | \(-0.108293\pi\) |
−0.936628 | + | 0.350325i | \(0.886071\pi\) | |||||||
\(368\) | −4984.86 | − | 8962.26i | −0.706125 | − | 1.26954i | ||||
\(369\) | 6274.43 | + | 6219.56i | 0.885187 | + | 0.877446i | ||||
\(370\) | −2168.66 | + | 571.801i | −0.304711 | + | 0.0803420i | ||||
\(371\) | −2507.47 | + | 14220.6i | −0.350893 | + | 1.99001i | ||||
\(372\) | 404.441 | + | 992.670i | 0.0563691 | + | 0.138354i | ||||
\(373\) | −73.2169 | − | 26.6488i | −0.0101636 | − | 0.00369925i | 0.336933 | − | 0.941529i | \(-0.390610\pi\) |
−0.347097 | + | 0.937829i | \(0.612833\pi\) | |||||||
\(374\) | −1733.73 | + | 2455.06i | −0.239703 | + | 0.339433i | ||||
\(375\) | 1071.77 | + | 1674.23i | 0.147590 | + | 0.230551i | ||||
\(376\) | −363.484 | − | 4820.32i | −0.0498544 | − | 0.661142i | ||||
\(377\) | − | 5511.37i | − | 0.752918i | ||||||
\(378\) | −536.327 | − | 11595.6i | −0.0729780 | − | 1.57781i | ||||
\(379\) | − | 7686.03i | − | 1.04170i | −0.853648 | − | 0.520851i | \(-0.825615\pi\) | ||
0.853648 | − | 0.520851i | \(-0.174385\pi\) | |||||||
\(380\) | −1841.13 | + | 2158.85i | −0.248547 | + | 0.291439i | ||||
\(381\) | 3516.19 | − | 6790.89i | 0.472807 | − | 0.913145i | ||||
\(382\) | 1785.53 | + | 1260.92i | 0.239151 | + | 0.168885i | ||||
\(383\) | 848.340 | + | 308.770i | 0.113181 | + | 0.0411943i | 0.397990 | − | 0.917390i | \(-0.369708\pi\) |
−0.284809 | + | 0.958584i | \(0.591930\pi\) | |||||||
\(384\) | 4425.24 | + | 6086.08i | 0.588085 | + | 0.808799i | ||||
\(385\) | 3752.67 | − | 21282.5i | 0.496763 | − | 2.81728i | ||||
\(386\) | 3294.23 | + | 12494.0i | 0.434383 | + | 1.64748i | ||||
\(387\) | −4635.30 | − | 9827.51i | −0.608851 | − | 1.29085i | ||||
\(388\) | −5740.62 | + | 3253.38i | −0.751123 | + | 0.425684i | ||||
\(389\) | 881.623 | + | 2422.24i | 0.114910 | + | 0.315713i | 0.983794 | − | 0.179303i | \(-0.0573843\pi\) |
−0.868884 | + | 0.495016i | \(0.835162\pi\) | |||||||
\(390\) | −5319.34 | + | 2756.88i | −0.690655 | + | 0.357949i | ||||
\(391\) | −2448.52 | − | 2918.04i | −0.316694 | − | 0.377421i | ||||
\(392\) | −11544.5 | − | 1149.78i | −1.48746 | − | 0.148145i | ||||
\(393\) | −4645.39 | + | 1040.57i | −0.596257 | + | 0.133561i | ||||
\(394\) | 8432.18 | + | 3973.14i | 1.07819 | + | 0.508030i | ||||
\(395\) | −6705.27 | − | 11613.9i | −0.854124 | − | 1.47939i | ||||
\(396\) | −7928.97 | + | 5509.37i | −1.00618 | + | 0.699132i | ||||
\(397\) | −3211.46 | + | 5562.41i | −0.405992 | + | 0.703198i | −0.994436 | − | 0.105339i | \(-0.966407\pi\) |
0.588445 | + | 0.808537i | \(0.299740\pi\) | |||||||
\(398\) | −3812.85 | + | 2647.12i | −0.480203 | + | 0.333387i | ||||
\(399\) | −1980.02 | + | 2592.17i | −0.248433 | + | 0.325241i | ||||
\(400\) | −8856.63 | − | 3385.01i | −1.10708 | − | 0.423127i | ||||
\(401\) | −11072.4 | + | 1952.37i | −1.37888 | + | 0.243133i | −0.813436 | − | 0.581654i | \(-0.802406\pi\) |
−0.565442 | + | 0.824788i | \(0.691295\pi\) | |||||||
\(402\) | 645.795 | − | 702.213i | 0.0801227 | − | 0.0871224i | ||||
\(403\) | 408.832 | − | 487.227i | 0.0505344 | − | 0.0602246i | ||||
\(404\) | 11385.9 | + | 91.1064i | 1.40215 | + | 0.0112196i | ||||
\(405\) | 1987.88 | − | 11883.2i | 0.243897 | − | 1.45798i | ||||
\(406\) | 13124.7 | − | 13020.1i | 1.60436 | − | 1.59157i | ||||
\(407\) | 1642.86 | + | 1378.52i | 0.200082 | + | 0.167889i | ||||
\(408\) | 2042.09 | + | 1908.41i | 0.247791 | + | 0.231570i | ||||
\(409\) | 563.674 | + | 3196.75i | 0.0681464 | + | 0.386477i | 0.999736 | + | 0.0229662i | \(0.00731100\pi\) |
−0.931590 | + | 0.363511i | \(0.881578\pi\) | |||||||
\(410\) | 13888.4 | − | 6408.75i | 1.67293 | − | 0.771965i | ||||
\(411\) | 10773.4 | + | 8229.17i | 1.29297 | + | 0.987627i | ||||
\(412\) | −973.633 | + | 5274.60i | −0.116426 | + | 0.630730i | ||||
\(413\) | 5846.78 | + | 3375.64i | 0.696613 | + | 0.402190i | ||||
\(414\) | −4189.81 | − | 11497.4i | −0.497386 | − | 1.36490i | ||||
\(415\) | 14438.6 | − | 8336.12i | 1.70786 | − | 0.986033i | ||||
\(416\) | 1967.55 | − | 4008.10i | 0.231892 | − | 0.472388i | ||||
\(417\) | 236.243 | + | 1054.66i | 0.0277431 | + | 0.123853i | ||||
\(418\) | 2701.83 | + | 247.275i | 0.316150 | + | 0.0289345i | ||||
\(419\) | −2651.34 | + | 2224.74i | −0.309132 | + | 0.259393i | −0.784133 | − | 0.620593i | \(-0.786892\pi\) |
0.475001 | + | 0.879985i | \(0.342448\pi\) | |||||||
\(420\) | −19131.7 | − | 6154.55i | −2.22269 | − | 0.715026i | ||||
\(421\) | 6912.88 | − | 2516.08i | 0.800268 | − | 0.291274i | 0.0906707 | − | 0.995881i | \(-0.471099\pi\) |
0.709598 | + | 0.704607i | \(0.248877\pi\) | |||||||
\(422\) | 2131.78 | − | 7830.47i | 0.245909 | − | 0.903273i | ||||
\(423\) | 477.488 | − | 5748.35i | 0.0548847 | − | 0.660743i | ||||
\(424\) | −2761.18 | − | 10822.8i | −0.316262 | − | 1.23963i | ||||
\(425\) | −3468.30 | − | 611.554i | −0.395852 | − | 0.0697994i | ||||
\(426\) | 2604.05 | − | 1990.70i | 0.296166 | − | 0.226408i | ||||
\(427\) | 2204.33 | − | 6056.34i | 0.249824 | − | 0.686386i | ||||
\(428\) | 5588.67 | − | 939.388i | 0.631164 | − | 0.106091i | ||||
\(429\) | 5087.53 | + | 2634.22i | 0.572560 | + | 0.296460i | ||||
\(430\) | −18747.2 | + | 1564.61i | −2.10248 | + | 0.175471i | ||||
\(431\) | 8570.49 | 0.957833 | 0.478917 | − | 0.877860i | \(-0.341030\pi\) | ||||
0.478917 | + | 0.877860i | \(0.341030\pi\) | |||||||
\(432\) | 4070.84 | + | 8003.11i | 0.453376 | + | 0.891319i | ||||
\(433\) | 1823.48 | 0.202381 | 0.101190 | − | 0.994867i | \(-0.467735\pi\) | ||||
0.101190 | + | 0.994867i | \(0.467735\pi\) | |||||||
\(434\) | 2126.11 | − | 177.442i | 0.235153 | − | 0.0196256i | ||||
\(435\) | 16160.9 | − | 10345.6i | 1.78127 | − | 1.14030i | ||||
\(436\) | 8873.44 | − | 1491.52i | 0.974681 | − | 0.163832i | ||||
\(437\) | −1176.09 | + | 3231.27i | −0.128741 | + | 0.353713i | ||||
\(438\) | 12603.3 | + | 5247.15i | 1.37491 | + | 0.572417i | ||||
\(439\) | −14036.7 | − | 2475.06i | −1.52605 | − | 0.269084i | −0.653244 | − | 0.757147i | \(-0.726592\pi\) |
−0.872808 | + | 0.488063i | \(0.837704\pi\) | |||||||
\(440\) | 4132.38 | + | 16197.4i | 0.447735 | + | 1.75496i | ||||
\(441\) | −13387.4 | − | 3524.20i | −1.44557 | − | 0.380543i | ||||
\(442\) | 435.652 | − | 1600.24i | 0.0468820 | − | 0.172207i | ||||
\(443\) | 1914.52 | − | 696.828i | 0.205331 | − | 0.0747343i | −0.237307 | − | 0.971435i | \(-0.576265\pi\) |
0.442638 | + | 0.896700i | \(0.354043\pi\) | |||||||
\(444\) | 1478.23 | − | 1338.84i | 0.158004 | − | 0.143105i | ||||
\(445\) | −11234.3 | + | 9426.73i | −1.19676 | + | 1.00420i | ||||
\(446\) | −15019.6 | − | 1374.62i | −1.59462 | − | 0.145942i | ||||
\(447\) | 6423.66 | − | 5912.20i | 0.679706 | − | 0.625587i | ||||
\(448\) | 14193.0 | − | 4783.28i | 1.49678 | − | 0.504440i | ||||
\(449\) | 3207.91 | − | 1852.09i | 0.337173 | − | 0.194667i | −0.321848 | − | 0.946791i | \(-0.604304\pi\) |
0.659021 | + | 0.752124i | \(0.270971\pi\) | |||||||
\(450\) | −9800.16 | − | 5653.02i | −1.02663 | − | 0.592191i | ||||
\(451\) | −12666.7 | − | 7313.10i | −1.32251 | − | 0.763549i | ||||
\(452\) | −2980.52 | + | 16146.8i | −0.310159 | + | 1.68027i | ||||
\(453\) | −13912.0 | + | 5798.38i | −1.44292 | + | 0.601394i | ||||
\(454\) | 4829.83 | − | 2228.71i | 0.499285 | − | 0.230393i | ||||
\(455\) | 2070.77 | + | 11743.9i | 0.213361 | + | 1.21003i | ||||
\(456\) | 570.231 | − | 2457.83i | 0.0585603 | − | 0.252409i | ||||
\(457\) | −4861.66 | − | 4079.42i | −0.497634 | − | 0.417565i | 0.359119 | − | 0.933292i | \(-0.383077\pi\) |
−0.856753 | + | 0.515727i | \(0.827522\pi\) | |||||||
\(458\) | 6465.27 | − | 6413.75i | 0.659612 | − | 0.654355i | ||||
\(459\) | 2047.69 | + | 2632.52i | 0.208231 | + | 0.267702i | ||||
\(460\) | −21185.7 | − | 169.521i | −2.14737 | − | 0.0171826i | ||||
\(461\) | 3746.46 | − | 4464.85i | 0.378503 | − | 0.451082i | −0.542838 | − | 0.839837i | \(-0.682650\pi\) |
0.921341 | + | 0.388755i | \(0.127095\pi\) | |||||||
\(462\) | 5745.74 | + | 18338.5i | 0.578606 | + | 1.84672i | ||||
\(463\) | −7252.14 | + | 1278.75i | −0.727939 | + | 0.128355i | −0.525323 | − | 0.850903i | \(-0.676055\pi\) |
−0.202616 | + | 0.979258i | \(0.564944\pi\) | |||||||
\(464\) | −5105.38 | + | 13357.9i | −0.510801 | + | 1.33647i | ||||
\(465\) | 2196.12 | + | 284.220i | 0.219016 | + | 0.0283449i | ||||
\(466\) | 4940.24 | − | 3429.82i | 0.491100 | − | 0.340952i | ||||
\(467\) | 5269.57 | − | 9127.17i | 0.522156 | − | 0.904400i | −0.477512 | − | 0.878625i | \(-0.658461\pi\) |
0.999668 | − | 0.0257751i | \(-0.00820539\pi\) | |||||||
\(468\) | 3071.65 | − | 4353.24i | 0.303391 | − | 0.429975i | ||||
\(469\) | −949.439 | − | 1644.48i | −0.0934777 | − | 0.161908i | ||||
\(470\) | −9033.95 | − | 4256.68i | −0.886606 | − | 0.417758i | ||||
\(471\) | −376.154 | + | 1202.21i | −0.0367989 | + | 0.117611i | ||||
\(472\) | −5196.50 | − | 517.552i | −0.506755 | − | 0.0504709i | ||||
\(473\) | 11563.0 | + | 13780.3i | 1.12403 | + | 1.33957i | ||||
\(474\) | 10046.2 | + | 6425.68i | 0.973499 | + | 0.622661i | ||||
\(475\) | 1087.34 | + | 2987.45i | 0.105033 | + | 0.288576i | ||||
\(476\) | 4839.99 | − | 2742.97i | 0.466051 | − | 0.264125i | ||||
\(477\) | −1219.90 | − | 13272.0i | −0.117097 | − | 1.27397i | ||||
\(478\) | 3186.59 | + | 12085.7i | 0.304919 | + | 1.15646i | ||||
\(479\) | 2807.99 | − | 15924.9i | 0.267851 | − | 1.51906i | −0.492942 | − | 0.870062i | \(-0.664079\pi\) |
0.760793 | − | 0.648995i | \(-0.224810\pi\) | |||||||
\(480\) | 15446.2 | − | 1754.33i | 1.46879 | − | 0.166820i | ||||
\(481\) | −1112.05 | − | 404.752i | −0.105416 | − | 0.0383682i | ||||
\(482\) | 920.963 | + | 650.372i | 0.0870305 | + | 0.0614598i | ||||
\(483\) | −24331.0 | + | 1115.85i | −2.29213 | + | 0.105120i | ||||
\(484\) | 3462.85 | − | 4060.44i | 0.325211 | − | 0.381333i | ||||
\(485\) | 13631.7i | 1.27625i | ||||||||
\(486\) | 3293.01 | + | 10195.5i | 0.307353 | + | 0.951595i | ||||
\(487\) | 11989.5i | 1.11560i | 0.829977 | + | 0.557798i | \(0.188354\pi\) | ||||
−0.829977 | + | 0.557798i | \(0.811646\pi\) | |||||||
\(488\) | 374.862 | + | 4971.21i | 0.0347729 | + | 0.461139i | ||||
\(489\) | 372.601 | − | 17.0879i | 0.0344573 | − | 0.00158025i | ||||
\(490\) | −13825.7 | + | 19578.0i | −1.27466 | + | 1.80499i | ||||
\(491\) | −13354.3 | − | 4860.58i | −1.22744 | − | 0.446751i | −0.354719 | − | 0.934973i | \(-0.615423\pi\) |
−0.872719 | + | 0.488222i | \(0.837646\pi\) | |||||||
\(492\) | −8342.81 | + | 10742.8i | −0.764477 | + | 0.984399i | ||||
\(493\) | −922.366 | + | 5231.00i | −0.0842622 | + | 0.477875i | ||||
\(494\) | −1447.66 | + | 381.698i | −0.131849 | + | 0.0347639i | ||||
\(495\) | 1825.70 | + | 19862.8i | 0.165776 | + | 1.80357i | ||||
\(496\) | −1442.22 | + | 802.171i | −0.130560 | + | 0.0726181i | ||||
\(497\) | −2231.38 | − | 6130.66i | −0.201390 | − | 0.553315i | ||||
\(498\) | −7988.52 | + | 12489.7i | −0.718823 | + | 1.12385i | ||||
\(499\) | 4521.17 | + | 5388.12i | 0.405602 | + | 0.483378i | 0.929720 | − | 0.368268i | \(-0.120049\pi\) |
−0.524118 | + | 0.851646i | \(0.675605\pi\) | |||||||
\(500\) | −2360.20 | + | 1948.47i | −0.211102 | + | 0.174277i | ||||
\(501\) | 1995.57 | − | 6377.94i | 0.177955 | − | 0.568753i | ||||
\(502\) | −117.628 | + | 249.642i | −0.0104582 | + | 0.0221954i | ||||
\(503\) | 7314.78 | + | 12669.6i | 0.648409 | + | 1.12308i | 0.983503 | + | 0.180893i | \(0.0578986\pi\) |
−0.335094 | + | 0.942185i | \(0.608768\pi\) | |||||||
\(504\) | 17623.3 | − | 2969.34i | 1.55755 | − | 0.262431i | ||||
\(505\) | 11761.4 | − | 20371.4i | 1.03639 | − | 1.79508i | ||||
\(506\) | 11553.6 | + | 16641.5i | 1.01506 | + | 1.46207i | ||||
\(507\) | 8186.32 | + | 1059.47i | 0.717095 | + | 0.0928059i | ||||
\(508\) | 11031.0 | + | 4115.22i | 0.963431 | + | 0.359416i | ||||
\(509\) | −13834.0 | + | 2439.31i | −1.20468 | + | 0.212417i | −0.739720 | − | 0.672915i | \(-0.765042\pi\) |
−0.464958 | + | 0.885333i | \(0.653931\pi\) | |||||||
\(510\) | 5510.12 | − | 1726.41i | 0.478416 | − | 0.149895i | ||||
\(511\) | 17466.4 | − | 20815.6i | 1.51207 | − | 1.80201i | ||||
\(512\) | −8481.59 | + | 7891.79i | −0.732104 | + | 0.681193i | ||||
\(513\) | 1133.79 | − | 2789.04i | 0.0975791 | − | 0.240037i | ||||
\(514\) | −4319.24 | − | 4353.94i | −0.370649 | − | 0.373626i | ||||
\(515\) | 8488.44 | + | 7122.65i | 0.726302 | + | 0.609440i | ||||
\(516\) | 14161.1 | − | 8906.43i | 1.20815 | − | 0.759852i | ||||
\(517\) | 1658.24 | + | 9404.35i | 0.141063 | + | 0.800005i | ||||
\(518\) | −1663.24 | − | 3604.41i | −0.141079 | − | 0.305731i | ||||
\(519\) | 228.054 | − | 95.0503i | 0.0192880 | − | 0.00803901i | ||||
\(520\) | −5199.73 | − | 7619.00i | −0.438506 | − | 0.642529i | ||||
\(521\) | 3219.74 | + | 1858.92i | 0.270747 | + | 0.156316i | 0.629227 | − | 0.777221i | \(-0.283371\pi\) |
−0.358480 | + | 0.933537i | \(0.616705\pi\) | |||||||
\(522\) | −8526.06 | + | 14780.9i | −0.714896 | + | 1.23935i | ||||
\(523\) | −8421.65 | + | 4862.24i | −0.704116 | + | 0.406522i | −0.808879 | − | 0.587976i | \(-0.799925\pi\) |
0.104762 | + | 0.994497i | \(0.466592\pi\) | |||||||
\(524\) | −2451.57 | − | 6907.11i | −0.204385 | − | 0.575837i | ||||
\(525\) | −16569.1 | + | 15249.9i | −1.37740 | + | 1.26773i | ||||
\(526\) | 243.445 | − | 2659.97i | 0.0201800 | − | 0.220495i | ||||
\(527\) | −469.575 | + | 394.020i | −0.0388140 | + | 0.0325689i | ||||
\(528\) | −9890.41 | − | 11097.3i | −0.815199 | − | 0.914673i | ||||
\(529\) | −12694.8 | + | 4620.52i | −1.04338 | + | 0.379758i | ||||
\(530\) | −22264.7 | − | 6061.39i | −1.82475 | − | 0.496774i | ||||
\(531\) | −6026.06 | − | 1586.35i | −0.492484 | − | 0.129645i | ||||
\(532\) | −4328.94 | − | 2545.71i | −0.352788 | − | 0.207464i | ||||
\(533\) | 7948.30 | + | 1401.50i | 0.645927 | + | 0.113894i | ||||
\(534\) | 5012.43 | − | 12039.6i | 0.406197 | − | 0.975662i | ||||
\(535\) | 4004.23 | − | 11001.5i | 0.323585 | − | 0.889042i | ||||
\(536\) | 1192.98 | + | 856.855i | 0.0961361 | + | 0.0690494i | ||||
\(537\) | −3396.97 | + | 2174.61i | −0.272980 | + | 0.174751i | ||||
\(538\) | −340.224 | − | 4076.56i | −0.0272641 | − | 0.326678i | ||||
\(539\) | 22918.5 | 1.83149 | ||||||||
\(540\) | 18530.8 | + | 835.330i | 1.47674 | + | 0.0665683i | ||||
\(541\) | −7678.15 | −0.610184 | −0.305092 | − | 0.952323i | \(-0.598687\pi\) | ||||
−0.305092 | + | 0.952323i | \(0.598687\pi\) | |||||||
\(542\) | −2029.35 | − | 24315.6i | −0.160826 | − | 1.92702i | ||||
\(543\) | −18126.9 | − | 9385.72i | −1.43259 | − | 0.741767i | ||||
\(544\) | −2538.24 | + | 3474.92i | −0.200048 | + | 0.273871i | ||||
\(545\) | 6357.74 | − | 17467.8i | 0.499699 | − | 1.37291i | ||||
\(546\) | −6440.40 | − | 8424.73i | −0.504805 | − | 0.660339i | ||||
\(547\) | −19156.1 | − | 3377.73i | −1.49736 | − | 0.264025i | −0.635868 | − | 0.771798i | \(-0.719358\pi\) |
−0.861491 | + | 0.507773i | \(0.830469\pi\) | |||||||
\(548\) | −10580.3 | + | 17991.5i | −0.824756 | + | 1.40248i | ||||
\(549\) | −492.434 | + | 5928.28i | −0.0382815 | + | 0.460861i | ||||
\(550\) | 18072.6 | + | 4920.11i | 1.40112 | + | 0.381444i | ||||
\(551\) | 4505.77 | − | 1639.96i | 0.348370 | − | 0.126796i | ||||
\(552\) | 16795.9 | − | 8535.12i | 1.29508 | − | 0.658114i | ||||
\(553\) | 18183.1 | − | 15257.4i | 1.39823 | − | 1.17326i | ||||
\(554\) | 715.825 | − | 7821.38i | 0.0548962 | − | 0.599817i | ||||
\(555\) | −900.614 | − | 4020.61i | −0.0688809 | − | 0.307505i | ||||
\(556\) | −1568.15 | + | 556.589i | −0.119612 | + | 0.0424544i | ||||
\(557\) | 8085.62 | − | 4668.23i | 0.615078 | − | 0.355116i | −0.159872 | − | 0.987138i | \(-0.551108\pi\) |
0.774950 | + | 0.632022i | \(0.217775\pi\) | |||||||
\(558\) | −1850.18 | + | 674.230i | −0.140366 | + | 0.0511513i | ||||
\(559\) | −8596.57 | − | 4963.23i | −0.650440 | − | 0.375532i | ||||
\(560\) | 5859.92 | − | 30381.8i | 0.442190 | − | 2.29262i | ||||
\(561\) | −4387.86 | − | 3351.64i | −0.330224 | − | 0.252240i | ||||
\(562\) | 567.635 | + | 1230.12i | 0.0426054 | + | 0.0923302i | ||||
\(563\) | 949.915 | + | 5387.23i | 0.0711086 | + | 0.403277i | 0.999498 | + | 0.0316690i | \(0.0100823\pi\) |
−0.928390 | + | 0.371608i | \(0.878807\pi\) | |||||||
\(564\) | 8874.29 | − | 335.852i | 0.662544 | − | 0.0250743i | ||||
\(565\) | 25985.1 | + | 21804.1i | 1.93487 | + | 1.62355i | ||||
\(566\) | −9615.89 | − | 9693.14i | −0.714110 | − | 0.719847i | ||||
\(567\) | 21324.4 | − | 187.298i | 1.57944 | − | 0.0138726i | ||||
\(568\) | 3525.33 | + | 3610.98i | 0.260422 | + | 0.266749i | ||||
\(569\) | −12323.7 | + | 14686.9i | −0.907976 | + | 1.08208i | 0.0883200 | + | 0.996092i | \(0.471850\pi\) |
−0.996296 | + | 0.0859914i | \(0.972594\pi\) | |||||||
\(570\) | −3836.69 | − | 3528.44i | −0.281932 | − | 0.259281i | ||||
\(571\) | 11831.8 | − | 2086.26i | 0.867153 | − | 0.152903i | 0.277663 | − | 0.960678i | \(-0.410440\pi\) |
0.589490 | + | 0.807776i | \(0.299329\pi\) | |||||||
\(572\) | −3082.99 | + | 8264.11i | −0.225361 | + | 0.604090i | ||||
\(573\) | −2437.60 | + | 3191.23i | −0.177718 | + | 0.232662i | ||||
\(574\) | 15439.7 | + | 22238.9i | 1.12272 | + | 1.61714i | ||||
\(575\) | −11869.5 | + | 20558.6i | −0.860859 | + | 1.49105i | ||||
\(576\) | −11477.3 | + | 7705.51i | −0.830243 | + | 0.557401i | ||||
\(577\) | −5771.20 | − | 9996.01i | −0.416392 | − | 0.721212i | 0.579182 | − | 0.815199i | \(-0.303372\pi\) |
−0.995573 | + | 0.0939867i | \(0.970039\pi\) | |||||||
\(578\) | 5241.77 | − | 11124.6i | 0.377213 | − | 0.800557i | ||||
\(579\) | −23163.3 | + | 5188.57i | −1.66258 | + | 0.372417i | ||||
\(580\) | 18808.1 | + | 22782.4i | 1.34649 | + | 1.63101i | ||||
\(581\) | 18968.3 | + | 22605.6i | 1.35445 | + | 1.61418i | ||||
\(582\) | −5577.93 | − | 10762.5i | −0.397273 | − | 0.766529i | ||||
\(583\) | 7546.67 | + | 20734.3i | 0.536108 | + | 1.47295i | ||||
\(584\) | −5683.30 | + | 20235.7i | −0.402699 | + | 1.43383i | ||||
\(585\) | −4695.41 | − | 9954.97i | −0.331848 | − | 0.703568i | ||||
\(586\) | −5100.63 | + | 1344.86i | −0.359565 | + | 0.0948050i | ||||
\(587\) | −171.214 | + | 971.005i | −0.0120388 | + | 0.0682754i | −0.990235 | − | 0.139406i | \(-0.955481\pi\) |
0.978196 | + | 0.207682i | \(0.0665918\pi\) | |||||||
\(588\) | 2904.60 | − | 21114.6i | 0.203714 | − | 1.48087i | ||||
\(589\) | 519.980 | + | 189.257i | 0.0363759 | + | 0.0132397i | ||||
\(590\) | −6223.37 | + | 8812.65i | −0.434258 | + | 0.614934i | ||||
\(591\) | −7873.80 | + | 15206.9i | −0.548029 | + | 1.05842i | ||||
\(592\) | 2320.32 | + | 2011.12i | 0.161089 | + | 0.139623i | ||||
\(593\) | 18518.0i | 1.28237i | 0.767388 | + | 0.641183i | \(0.221556\pi\) | ||||
−0.767388 | + | 0.641183i | \(0.778444\pi\) | |||||||
\(594\) | −9569.08 | − | 14935.1i | −0.660983 | − | 1.03164i | ||||
\(595\) | − | 11493.0i | − | 0.791880i | ||||||
\(596\) | 10227.0 | + | 8721.90i | 0.702879 | + | 0.599434i | ||||
\(597\) | −4597.49 | − | 7181.76i | −0.315180 | − | 0.492345i | ||||
\(598\) | −9131.70 | − | 6448.68i | −0.624453 | − | 0.440980i | ||||
\(599\) | −7070.11 | − | 2573.31i | −0.482265 | − | 0.175530i | 0.0894353 | − | 0.995993i | \(-0.471494\pi\) |
−0.571700 | + | 0.820463i | \(0.693716\pi\) | |||||||
\(600\) | 6823.29 | − | 16026.5i | 0.464266 | − | 1.09047i | ||||
\(601\) | 1592.54 | − | 9031.75i | 0.108088 | − | 0.613000i | −0.881853 | − | 0.471524i | \(-0.843704\pi\) |
0.989942 | − | 0.141476i | \(-0.0451847\pi\) | |||||||
\(602\) | −8489.25 | − | 32197.0i | −0.574744 | − | 2.17982i | ||||
\(603\) | 1244.74 | + | 1233.85i | 0.0840625 | + | 0.0833274i | ||||
\(604\) | −11441.3 | − | 20188.2i | −0.770760 | − | 1.36001i | ||||
\(605\) | −3770.68 | − | 10359.8i | −0.253388 | − | 0.696178i | ||||
\(606\) | −950.145 | + | 20896.3i | −0.0636914 | + | 1.40075i | ||||
\(607\) | −9169.69 | − | 10928.0i | −0.613157 | − | 0.730732i | 0.366721 | − | 0.930331i | \(-0.380480\pi\) |
−0.979878 | + | 0.199599i | \(0.936036\pi\) | |||||||
\(608\) | 3862.25 | + | 415.901i | 0.257623 | + | 0.0277418i | ||||
\(609\) | 23000.3 | + | 24990.0i | 1.53041 | + | 1.66280i | ||||
\(610\) | 9316.72 | + | 4389.92i | 0.618398 | + | 0.291382i | ||||
\(611\) | −2634.74 | − | 4563.51i | −0.174452 | − | 0.302160i | ||||
\(612\) | −3643.93 | + | 3617.72i | −0.240682 | + | 0.238950i | ||||
\(613\) | 659.682 | − | 1142.60i | 0.0434655 | − | 0.0752844i | −0.843474 | − | 0.537170i | \(-0.819493\pi\) |
0.886940 | + | 0.461885i | \(0.152827\pi\) | |||||||
\(614\) | −99.5569 | + | 69.1185i | −0.00654363 | + | 0.00454299i | ||||
\(615\) | 10810.4 | + | 25937.4i | 0.708810 | + | 1.70065i | ||||
\(616\) | −26963.4 | + | 12181.4i | −1.76361 | + | 0.796759i | ||||
\(617\) | −10881.8 | + | 1918.75i | −0.710022 | + | 0.125196i | −0.516984 | − | 0.855995i | \(-0.672945\pi\) |
−0.193038 | + | 0.981191i | \(0.561834\pi\) | |||||||
\(618\) | −9616.32 | − | 2150.10i | −0.625931 | − | 0.139951i | ||||
\(619\) | −2511.32 | + | 2992.88i | −0.163067 | + | 0.194336i | −0.841390 | − | 0.540428i | \(-0.818262\pi\) |
0.678323 | + | 0.734764i | \(0.262707\pi\) | |||||||
\(620\) | −27.2796 | + | 3409.23i | −0.00176706 | + | 0.220836i | ||||
\(621\) | 21395.4 | − | 6901.22i | 1.38256 | − | 0.445952i | ||||
\(622\) | −10026.1 | + | 9946.17i | −0.646316 | + | 0.641165i | ||||
\(623\) | −19884.5 | − | 16685.1i | −1.27874 | − | 1.07299i | ||||
\(624\) | 7222.91 | + | 3887.69i | 0.463378 | + | 0.249410i | ||||
\(625\) | −2117.76 | − | 12010.4i | −0.135536 | − | 0.768665i | ||||
\(626\) | 13725.9 | − | 6333.74i | 0.876351 | − | 0.404389i | ||||
\(627\) | −639.732 | + | 4943.10i | −0.0407471 | + | 0.314846i | ||||
\(628\) | −1907.18 | − | 352.045i | −0.121186 | − | 0.0223696i | ||||
\(629\) | 987.737 | + | 570.270i | 0.0626131 | + | 0.0361497i | ||||
\(630\) | 12614.2 | − | 34699.4i | 0.797716 | − | 2.19438i | ||||
\(631\) | −14892.8 | + | 8598.39i | −0.939580 | + | 0.542467i | −0.889829 | − | 0.456295i | \(-0.849176\pi\) |
−0.0497513 | + | 0.998762i | \(0.515843\pi\) | |||||||
\(632\) | −7958.60 | + | 16545.9i | −0.500912 | + | 1.04139i | ||||
\(633\) | 14228.8 | + | 4452.01i | 0.893437 | + | 0.279544i | ||||
\(634\) | −14549.2 | − | 1331.56i | −0.911390 | − | 0.0834118i | ||||
\(635\) | 18632.6 | − | 15634.6i | 1.16443 | − | 0.977073i | ||||
\(636\) | 20058.7 | − | 4324.89i | 1.25060 | − | 0.269643i | ||||
\(637\) | −11884.0 | + | 4325.43i | −0.739188 | + | 0.269042i | ||||
\(638\) | 7420.67 | − | 27257.6i | 0.460481 | − | 1.69144i | ||||
\(639\) | 3475.53 | + | 4917.47i | 0.215164 | + | 0.304432i | ||||
\(640\) | 5544.77 | + | 23282.8i | 0.342463 | + | 1.43802i | ||||
\(641\) | −13154.0 | − | 2319.41i | −0.810534 | − | 0.142919i | −0.247004 | − | 0.969015i | \(-0.579446\pi\) |
−0.563530 | + | 0.826096i | \(0.690557\pi\) | |||||||
\(642\) | 1340.28 | + | 10324.4i | 0.0823937 | + | 0.634693i | ||||
\(643\) | 2185.53 | − | 6004.69i | 0.134042 | − | 0.368277i | −0.854454 | − | 0.519528i | \(-0.826108\pi\) |
0.988495 | + | 0.151251i | \(0.0483301\pi\) | |||||||
\(644\) | −6216.00 | − | 36980.6i | −0.380349 | − | 2.26280i | ||||
\(645\) | −1583.32 | − | 34524.2i | −0.0966559 | − | 2.10758i | ||||
\(646\) | 1437.89 | − | 120.005i | 0.0875744 | − | 0.00730885i | ||||
\(647\) | 4558.28 | 0.276977 | 0.138489 | − | 0.990364i | \(-0.455776\pi\) | ||||
0.138489 | + | 0.990364i | \(0.455776\pi\) | |||||||
\(648\) | −14972.3 | + | 6923.09i | −0.907664 | + | 0.419698i | ||||
\(649\) | 10316.3 | 0.623961 | ||||||||
\(650\) | −10299.8 | + | 859.609i | −0.621526 | + | 0.0518717i | ||||
\(651\) | 179.564 | + | 3915.38i | 0.0108105 | + | 0.235723i | ||||
\(652\) | 95.1909 | + | 566.315i | 0.00571773 | + | 0.0340163i | ||||
\(653\) | 1625.16 | − | 4465.08i | 0.0973924 | − | 0.267584i | −0.881423 | − | 0.472328i | \(-0.843414\pi\) |
0.978816 | + | 0.204744i | \(0.0656362\pi\) | |||||||
\(654\) | 2128.04 | + | 16392.7i | 0.127237 | + | 0.980130i | ||||
\(655\) | −14911.5 | − | 2629.30i | −0.889529 | − | 0.156848i | ||||
\(656\) | −17966.0 | − | 10759.6i | −1.06929 | − | 0.640384i | ||||
\(657\) | −10499.5 | + | 22776.8i | −0.623476 | + | 1.35252i | ||||
\(658\) | 4643.15 | − | 17055.3i | 0.275090 | − | 1.01046i | ||||
\(659\) | 3319.12 | − | 1208.06i | 0.196198 | − | 0.0714102i | −0.242052 | − | 0.970263i | \(-0.577821\pi\) |
0.438250 | + | 0.898853i | \(0.355598\pi\) | |||||||
\(660\) | −30019.9 | + | 6472.62i | −1.77049 | + | 0.381737i | ||||
\(661\) | 21263.4 | − | 17842.1i | 1.25121 | − | 1.04989i | 0.254650 | − | 0.967033i | \(-0.418040\pi\) |
0.996561 | − | 0.0828577i | \(-0.0264047\pi\) | |||||||
\(662\) | 7293.81 | + | 667.540i | 0.428221 | + | 0.0391914i | ||||
\(663\) | 2907.81 | + | 909.814i | 0.170332 | + | 0.0532945i | ||||
\(664\) | −20570.1 | − | 9894.28i | −1.20222 | − | 0.578272i | ||||
\(665\) | −8984.94 | + | 5187.46i | −0.523941 | + | 0.302498i | ||||
\(666\) | 2356.24 | + | 2805.83i | 0.137091 | + | 0.163249i | ||||
\(667\) | 31007.2 | + | 17902.0i | 1.80000 | + | 1.03923i | ||||
\(668\) | 10118.0 | + | 1867.67i | 0.586043 | + | 0.108177i | ||||
\(669\) | 3556.31 | − | 27479.0i | 0.205523 | − | 1.58804i | ||||
\(670\) | 2755.22 | − | 1271.39i | 0.158871 | − | 0.0733103i | ||||
\(671\) | −1710.15 | − | 9698.72i | −0.0983896 | − | 0.557995i | ||||
\(672\) | 7805.39 | + | 26384.9i | 0.448065 | + | 1.51461i | ||||
\(673\) | 11267.7 | + | 9454.73i | 0.645377 | + | 0.541535i | 0.905664 | − | 0.423996i | \(-0.139373\pi\) |
−0.260288 | + | 0.965531i | \(0.583817\pi\) | |||||||
\(674\) | 4130.13 | − | 4097.21i | 0.236034 | − | 0.234152i | ||||
\(675\) | 11051.8 | − | 17602.7i | 0.630201 | − | 1.00375i | ||||
\(676\) | −101.688 | + | 12708.4i | −0.00578564 | + | 0.723052i | ||||
\(677\) | −8924.39 | + | 10635.7i | −0.506636 | + | 0.603785i | −0.957367 | − | 0.288875i | \(-0.906719\pi\) |
0.450731 | + | 0.892660i | \(0.351163\pi\) | |||||||
\(678\) | −29437.8 | − | 6581.98i | −1.66748 | − | 0.372831i | ||||
\(679\) | −23761.2 | + | 4189.74i | −1.34296 | + | 0.236800i | ||||
\(680\) | 3660.12 | + | 8101.61i | 0.206410 | + | 0.456886i | ||||
\(681\) | 3759.43 | + | 9020.00i | 0.211544 | + | 0.507558i | ||||
\(682\) | 2677.98 | − | 1859.22i | 0.150360 | − | 0.104389i | ||||
\(683\) | 6665.35 | − | 11544.7i | 0.373415 | − | 0.646774i | −0.616673 | − | 0.787219i | \(-0.711520\pi\) |
0.990088 | + | 0.140445i | \(0.0448534\pi\) | |||||||
\(684\) | 4472.95 | + | 1215.85i | 0.250040 | + | 0.0679664i | ||||
\(685\) | 21559.6 | + | 37342.4i | 1.20256 | + | 2.08289i | ||||
\(686\) | −12703.1 | − | 5985.56i | −0.707009 | − | 0.333134i | ||||
\(687\) | 11330.0 | + | 12310.1i | 0.629209 | + | 0.683641i | ||||
\(688\) | 16237.8 | + | 19992.7i | 0.899797 | + | 1.10787i | ||||
\(689\) | −7826.40 | − | 9327.15i | −0.432746 | − | 0.515727i | ||||
\(690\) | 1767.93 | − | 38881.7i | 0.0975421 | − | 2.14522i | ||||
\(691\) | 4815.88 | + | 13231.5i | 0.265130 | + | 0.728439i | 0.998802 | + | 0.0489350i | \(0.0155827\pi\) |
−0.733672 | + | 0.679504i | \(0.762195\pi\) | |||||||
\(692\) | 187.552 | + | 330.937i | 0.0103030 | + | 0.0181797i | ||||
\(693\) | −34061.5 | + | 9287.25i | −1.86708 | + | 0.509082i | ||||
\(694\) | −324.430 | − | 1230.46i | −0.0177452 | − | 0.0673020i | ||||
\(695\) | −596.940 | + | 3385.41i | −0.0325802 | + | 0.184771i | ||||
\(696\) | −24171.7 | − | 10291.1i | −1.31642 | − | 0.560464i | ||||
\(697\) | −7309.40 | − | 2660.40i | −0.397221 | − | 0.144577i | ||||
\(698\) | −5044.20 | − | 3562.14i | −0.273533 | − | 0.193165i | ||||
\(699\) | 5956.88 | + | 9305.28i | 0.322332 | + | 0.503517i | ||||
\(700\) | −26379.5 | − | 22497.2i | −1.42436 | − | 1.21473i | ||||
\(701\) | − | 32067.6i | − | 1.72778i | −0.503677 | − | 0.863892i | \(-0.668020\pi\) | ||
0.503677 | − | 0.863892i | \(-0.331980\pi\) | |||||||
\(702\) | 7780.59 | + | 5938.35i | 0.418319 | + | 0.319271i | ||||
\(703\) | − | 1029.58i | − | 0.0552367i | ||||||
\(704\) | 15127.6 | − | 17173.7i | 0.809860 | − | 0.919403i | ||||
\(705\) | 8435.72 | − | 16292.1i | 0.450649 | − | 0.870349i | ||||
\(706\) | −11239.0 | + | 15915.0i | −0.599127 | + | 0.848398i | ||||
\(707\) | 39124.0 | + | 14240.0i | 2.08120 | + | 0.757495i | ||||
\(708\) | 1307.45 | − | 9504.31i | 0.0694023 | − | 0.504511i | ||||
\(709\) | 3326.78 | − | 18867.1i | 0.176220 | − | 0.999393i | −0.760506 | − | 0.649331i | \(-0.775049\pi\) |
0.936726 | − | 0.350063i | \(-0.113840\pi\) | |||||||
\(710\) | 10081.0 | − | 2658.02i | 0.532865 | − | 0.140498i | ||||
\(711\) | −12487.2 | + | 18001.3i | −0.658660 | + | 0.949512i | ||||
\(712\) | 19330.5 | + | 5429.07i | 1.01747 | + | 0.285763i | ||||
\(713\) | 1413.19 | + | 3882.71i | 0.0742279 | + | 0.203939i | ||||
\(714\) | 4702.83 | + | 9074.00i | 0.246497 | + | 0.475610i | ||||
\(715\) | 11713.0 | + | 13959.0i | 0.612644 | + | 0.730121i | ||||
\(716\) | −3953.41 | − | 4788.79i | −0.206349 | − | 0.249952i | ||||
\(717\) | −22406.5 | + | 5019.03i | −1.16706 | + | 0.261422i | ||||
\(718\) | 10394.6 | − | 22060.5i | 0.540284 | − | 1.14664i | ||||
\(719\) | −14421.5 | − | 24978.8i | −0.748029 | − | 1.29562i | −0.948766 | − | 0.315979i | \(-0.897667\pi\) |
0.200737 | − | 0.979645i | \(-0.435666\pi\) | |||||||
\(720\) | 2158.57 | + | 28477.3i | 0.111729 | + | 1.47401i | ||||
\(721\) | −9806.44 | + | 16985.3i | −0.506534 | + | 0.877342i | ||||
\(722\) | 10321.0 | + | 14866.1i | 0.532005 | + | 0.766289i | ||||
\(723\) | −1257.30 | + | 1646.01i | −0.0646741 | + | 0.0846692i | ||||
\(724\) | 10984.7 | − | 29445.0i | 0.563873 | − | 1.51149i | ||||
\(725\) | 32599.5 | − | 5748.17i | 1.66995 | − | 0.294457i | ||||
\(726\) | 7216.17 | + | 6636.40i | 0.368894 | + | 0.339256i | ||||
\(727\) | 779.550 | − | 929.031i | 0.0397688 | − | 0.0473946i | −0.745793 | − | 0.666177i | \(-0.767929\pi\) |
0.785562 | + | 0.618783i | \(0.212374\pi\) | |||||||
\(728\) | 11682.4 | − | 11405.3i | 0.594752 | − | 0.580644i | ||||
\(729\) | −18943.6 | + | 5344.36i | −0.962432 | + | 0.271522i | ||||
\(730\) | 30581.1 | + | 30826.8i | 1.55049 | + | 1.56295i | ||||
\(731\) | 7328.61 | + | 6149.44i | 0.370805 | + | 0.311142i | ||||
\(732\) | −9152.06 | + | 346.365i | −0.462117 | + | 0.0174891i | ||||
\(733\) | −808.521 | − | 4585.35i | −0.0407414 | − | 0.231056i | 0.957637 | − | 0.287977i | \(-0.0929827\pi\) |
−0.998379 | + | 0.0569213i | \(0.981872\pi\) | |||||||
\(734\) | −147.510 | − | 319.668i | −0.00741782 | − | 0.0160752i | ||||
\(735\) | −34991.3 | − | 26727.9i | −1.75602 | − | 1.34132i | ||||
\(736\) | 16158.7 | + | 24088.6i | 0.809266 | + | 1.20641i | ||||
\(737\) | −2512.85 | − | 1450.79i | −0.125593 | − | 0.0725111i | ||||
\(738\) | −19148.4 | − | 16054.6i | −0.955097 | − | 0.800786i | ||||
\(739\) | −15756.5 | + | 9097.04i | −0.784321 | + | 0.452828i | −0.837960 | − | 0.545732i | \(-0.816252\pi\) |
0.0536381 | + | 0.998560i | \(0.482918\pi\) | |||||||
\(740\) | 5978.13 | − | 2121.85i | 0.296974 | − | 0.105406i | ||||
\(741\) | −601.192 | − | 2683.90i | −0.0298048 | − | 0.133057i | ||||
\(742\) | 3722.39 | − | 40672.3i | 0.184169 | − | 2.01230i | ||||
\(743\) | 13563.7 | − | 11381.3i | 0.669723 | − | 0.561964i | −0.243260 | − | 0.969961i | \(-0.578217\pi\) |
0.912983 | + | 0.407997i | \(0.133772\pi\) | |||||||
\(744\) | −1373.48 | − | 2702.83i | −0.0676806 | − | 0.133186i | ||||
\(745\) | 26093.4 | − | 9497.21i | 1.28320 | − | 0.467048i | ||||
\(746\) | 212.640 | + | 57.8895i | 0.0104361 | + | 0.00284113i | ||||
\(747\) | −22379.6 | − | 15524.3i | −1.09615 | − | 0.760383i | ||||
\(748\) | 4309.21 | − | 7327.74i | 0.210642 | − | 0.358193i | ||||
\(749\) | 20407.3 | + | 3598.36i | 0.995551 | + | 0.175542i | ||||
\(750\) | −3414.78 | − | 4466.90i | −0.166253 | − | 0.217477i | ||||
\(751\) | 6138.50 | − | 16865.4i | 0.298265 | − | 0.819476i | −0.696525 | − | 0.717532i | \(-0.745272\pi\) |
0.994790 | − | 0.101944i | \(-0.0325062\pi\) | |||||||
\(752\) | 2158.45 | + | 13501.2i | 0.104669 | + | 0.654705i | ||||
\(753\) | −450.212 | − | 233.111i | −0.0217884 | − | 0.0112816i | ||||
\(754\) | 1296.49 | + | 15534.5i | 0.0626198 | + | 0.750309i | ||||
\(755\) | −47939.0 | −2.31083 | ||||||||
\(756\) | 4239.44 | + | 32557.5i | 0.203951 | + | 1.56628i | ||||
\(757\) | −31364.2 | −1.50588 | −0.752940 | − | 0.658089i | \(-0.771365\pi\) | ||||
−0.752940 | + | 0.658089i | \(0.771365\pi\) | |||||||
\(758\) | 1808.05 | + | 21664.1i | 0.0866378 | + | 1.03809i | ||||
\(759\) | −31345.5 | + | 20066.2i | −1.49904 | + | 0.959625i | ||||
\(760\) | 4681.60 | − | 6518.10i | 0.223447 | − | 0.311100i | ||||
\(761\) | −3675.87 | + | 10099.4i | −0.175099 | + | 0.481079i | −0.995934 | − | 0.0900853i | \(-0.971286\pi\) |
0.820835 | + | 0.571165i | \(0.193508\pi\) | |||||||
\(762\) | −8313.34 | + | 19968.1i | −0.395224 | + | 0.949304i | ||||
\(763\) | 32401.9 | + | 5713.32i | 1.53739 | + | 0.271083i | ||||
\(764\) | −5329.36 | − | 3134.03i | −0.252369 | − | 0.148410i | ||||
\(765\) | 2790.51 | + | 10234.3i | 0.131884 | + | 0.483691i | ||||
\(766\) | −2463.79 | − | 670.747i | −0.116215 | − | 0.0316385i | ||||
\(767\) | −5349.35 | + | 1947.01i | −0.251830 | + | 0.0916588i | ||||
\(768\) | −13904.8 | − | 16113.4i | −0.653315 | − | 0.757086i | ||||
\(769\) | −20571.2 | + | 17261.3i | −0.964651 | + | 0.809438i | −0.981703 | − | 0.190417i | \(-0.939016\pi\) |
0.0170527 | + | 0.999855i | \(0.494572\pi\) | |||||||
\(770\) | −5570.92 | + | 60870.1i | −0.260730 | + | 2.84884i | ||||
\(771\) | 8290.08 | − | 7630.01i | 0.387237 | − | 0.356405i | ||||
\(772\) | −12224.3 | − | 34440.9i | −0.569898 | − | 1.60564i | ||||
\(773\) | −382.963 | + | 221.104i | −0.0178192 | + | 0.0102879i | −0.508883 | − | 0.860836i | \(-0.669941\pi\) |
0.491064 | + | 0.871124i | \(0.336608\pi\) | |||||||
\(774\) | 15377.0 | + | 26609.7i | 0.714101 | + | 1.23574i | ||||
\(775\) | 3308.32 | + | 1910.06i | 0.153340 | + | 0.0885309i | ||||
\(776\) | 15415.3 | − | 10520.5i | 0.713116 | − | 0.486680i | ||||
\(777\) | 6731.46 | − | 2805.59i | 0.310798 | − | 0.129537i | ||||
\(778\) | −3054.77 | − | 6620.00i | −0.140770 | − | 0.305062i | ||||
\(779\) | 1219.32 | + | 6915.08i | 0.0560803 | + | 0.318047i | ||||
\(780\) | 14344.7 | − | 9021.94i | 0.658491 | − | 0.414150i | ||||
\(781\) | −7636.84 | − | 6408.07i | −0.349895 | − | 0.293597i | ||||
\(782\) | 7587.92 | + | 7648.88i | 0.346986 | + | 0.349774i | ||||
\(783\) | −26549.0 | − | 16668.7i | −1.21173 | − | 0.760781i | ||||
\(784\) | 32810.0 | + | 525.105i | 1.49463 | + | 0.0239206i | ||||
\(785\) | −2575.40 | + | 3069.24i | −0.117095 | + | 0.139549i | ||||
\(786\) | 12848.9 | − | 4025.74i | 0.583083 | − | 0.182689i | ||||
\(787\) | 28261.7 | − | 4983.31i | 1.28008 | − | 0.225712i | 0.508065 | − | 0.861318i | \(-0.330361\pi\) |
0.772014 | + | 0.635606i | \(0.219250\pi\) | |||||||
\(788\) | −24701.8 | − | 9215.22i | −1.11671 | − | 0.416597i | ||||
\(789\) | 4866.52 | + | 629.822i | 0.219585 | + | 0.0284186i | ||||
\(790\) | 21631.7 | + | 31157.8i | 0.974204 | + | 1.40322i | ||||
\(791\) | −30019.9 | + | 51995.9i | −1.34941 | + | 2.33725i | ||||
\(792\) | 21052.8 | − | 17394.1i | 0.944543 | − | 0.780393i | ||||
\(793\) | 2717.21 | + | 4706.35i | 0.121679 | + | 0.210753i | ||||
\(794\) | 7743.42 | − | 16433.8i | 0.346100 | − | 0.734528i | ||||
\(795\) | 12658.6 | − | 40457.5i | 0.564722 | − | 1.80488i | ||||
\(796\) | 10124.3 | − | 8358.17i | 0.450812 | − | 0.372170i | ||||
\(797\) | −14762.2 | − | 17592.9i | −0.656091 | − | 0.781899i | 0.330728 | − | 0.943726i | \(-0.392706\pi\) |
−0.986819 | + | 0.161827i | \(0.948261\pi\) | |||||||
\(798\) | 4971.15 | − | 7772.15i | 0.220522 | − | 0.344776i | ||||
\(799\) | 1736.97 | + | 4772.30i | 0.0769083 | + | 0.211304i | ||||
\(800\) | 25759.8 | + | 7457.67i | 1.13843 | + | 0.329586i | ||||
\(801\) | 21758.0 | + | 10029.8i | 0.959775 | + | 0.442429i | ||||
\(802\) | 30749.8 | − | 8107.66i | 1.35388 | − | 0.356972i | ||||
\(803\) | 7210.15 | − | 40890.8i | 0.316863 | − | 1.79702i | ||||
\(804\) | −1655.07 | + | 2131.19i | −0.0725992 | + | 0.0934843i | ||||
\(805\) | −72797.9 | − | 26496.3i | −3.18732 | − | 1.16009i | ||||
\(806\) | −1037.73 | + | 1469.49i | −0.0453505 | + | 0.0642189i | ||||
\(807\) | 7507.26 | − | 344.291i | 0.327470 | − | 0.0150181i | ||||
\(808\) | −32114.0 | + | 2421.61i | −1.39823 | + | 0.105436i | ||||
\(809\) | 861.871i | 0.0374558i | 0.999825 | + | 0.0187279i | \(0.00596163\pi\) | ||||
−0.999825 | + | 0.0187279i | \(0.994038\pi\) | |||||||
\(810\) | −2807.69 | + | 33961.9i | −0.121793 | + | 1.47321i | ||||
\(811\) | − | 33232.6i | − | 1.43891i | −0.694540 | − | 0.719454i | \(-0.744392\pi\) | ||
0.694540 | − | 0.719454i | \(-0.255608\pi\) | |||||||
\(812\) | −33930.9 | + | 39786.4i | −1.46643 | + | 1.71949i | ||||
\(813\) | 44778.8 | − | 2053.61i | 1.93169 | − | 0.0885893i | ||||
\(814\) | −4954.89 | − | 3499.08i | −0.213352 | − | 0.150667i | ||||
\(815\) | 1114.82 | + | 405.760i | 0.0479145 | + | 0.0174394i | ||||
\(816\) | −6204.83 | − | 4898.72i | −0.266192 | − | 0.210159i | ||||
\(817\) | 1499.64 | − | 8504.90i | 0.0642177 | − | 0.364197i | ||||
\(818\) | −2340.79 | − | 8877.86i | −0.100053 | − | 0.379471i | ||||
\(819\) | 15909.2 | − | 11244.2i | 0.678771 | − | 0.479736i | ||||
\(820\) | −37638.7 | + | 21331.0i | −1.60293 | + | 0.908427i | ||||
\(821\) | 14274.2 | + | 39217.9i | 0.606787 | + | 1.66713i | 0.737202 | + | 0.675673i | \(0.236147\pi\) |
−0.130415 | + | 0.991459i | \(0.541631\pi\) | |||||||
\(822\) | −32301.9 | − | 20660.6i | −1.37063 | − | 0.876670i | ||||
\(823\) | 16170.7 | + | 19271.5i | 0.684902 | + | 0.816234i | 0.990729 | − | 0.135853i | \(-0.0433774\pi\) |
−0.305827 | + | 0.952087i | \(0.598933\pi\) | |||||||
\(824\) | 1503.52 | − | 15096.2i | 0.0635650 | − | 0.638228i | ||||
\(825\) | −10275.1 | + | 32839.9i | −0.433618 | + | 1.38586i | ||||
\(826\) | −17274.0 | − | 8139.28i | −0.727650 | − | 0.342859i | ||||
\(827\) | 13669.1 | + | 23675.6i | 0.574754 | + | 0.995502i | 0.996068 | + | 0.0885880i | \(0.0282354\pi\) |
−0.421315 | + | 0.906914i | \(0.638431\pi\) | |||||||
\(828\) | 14514.2 | + | 31421.4i | 0.609181 | + | 1.31880i | ||||
\(829\) | −19858.9 | + | 34396.7i | −0.832001 | + | 1.44107i | 0.0644479 | + | 0.997921i | \(0.479471\pi\) |
−0.896449 | + | 0.443147i | \(0.853862\pi\) | |||||||
\(830\) | −38736.0 | + | 26892.9i | −1.61993 | + | 1.12466i | ||||
\(831\) | 14309.5 | + | 1851.93i | 0.597342 | + | 0.0773076i | ||||
\(832\) | −4602.94 | + | 11760.2i | −0.191801 | + | 0.490038i | ||||
\(833\) | 12003.4 | − | 2116.52i | 0.499270 | − | 0.0880347i | ||||
\(834\) | −913.979 | − | 2917.12i | −0.0379478 | − | 0.121117i | ||||
\(835\) | 13663.0 | − | 16282.9i | 0.566261 | − | 0.674843i | ||||
\(836\) | −7673.62 | − | 61.4019i | −0.317461 | − | 0.00254023i | ||||
\(837\) | −1110.55 | − | 3442.98i | −0.0458618 | − | 0.142183i | ||||
\(838\) | 6949.79 | − | 6894.41i | 0.286488 | − | 0.284204i | ||||
\(839\) | −12496.0 | − | 10485.4i | −0.514197 | − | 0.431463i | 0.348406 | − | 0.937344i | \(-0.386723\pi\) |
−0.862603 | + | 0.505881i | \(0.831167\pi\) | |||||||
\(840\) | 55372.9 | + | 12846.9i | 2.27446 | + | 0.527689i | ||||
\(841\) | −4434.47 | − | 25149.1i | −0.181822 | − | 1.03117i | ||||
\(842\) | −18892.9 | + | 8718.08i | −0.773271 | + | 0.356823i | ||||
\(843\) | −2297.32 | + | 957.498i | −0.0938601 | + | 0.0391198i | ||||
\(844\) | −4166.67 | + | 22572.7i | −0.169932 | + | 0.920596i | ||||
\(845\) | 22737.5 | + | 13127.5i | 0.925674 | + | 0.534438i | ||||
\(846\) | 6.37510 | + | 16314.8i | 0.000259078 | + | 0.663018i | ||||
\(847\) | 16899.2 | − | 9756.74i | 0.685552 | − | 0.395804i | ||||
\(848\) | 10328.7 | + | 29856.0i | 0.418265 | + | 1.20903i | ||||
\(849\) | 18456.2 | − | 16986.6i | 0.746070 | − | 0.686667i | ||||
\(850\) | 9919.70 | + | 907.866i | 0.400286 | + | 0.0366347i | ||||
\(851\) | 5889.30 | − | 4941.71i | 0.237230 | − | 0.199059i | ||||
\(852\) | −6871.55 | + | 6223.61i | −0.276309 | + | 0.250255i | ||||
\(853\) | −44905.7 | + | 16344.4i | −1.80251 | + | 0.656061i | −0.804438 | + | 0.594036i | \(0.797534\pi\) |
−0.998075 | + | 0.0620246i | \(0.980244\pi\) | |||||||
\(854\) | −4788.49 | + | 17589.1i | −0.191872 | + | 0.704786i | ||||
\(855\) | 6741.42 | − | 6800.89i | 0.269651 | − | 0.272030i | ||||
\(856\) | −15531.4 | + | 3962.46i | −0.620154 | + | 0.158217i | ||||
\(857\) | −4545.39 | − | 801.476i | −0.181176 | − | 0.0319462i | 0.0823241 | − | 0.996606i | \(-0.473766\pi\) |
−0.263500 | + | 0.964659i | \(0.584877\pi\) | |||||||
\(858\) | −14959.5 | − | 6228.09i | −0.595232 | − | 0.247813i | ||||
\(859\) | −10115.3 | + | 27791.6i | −0.401781 | + | 1.10388i | 0.559624 | + | 0.828747i | \(0.310946\pi\) |
−0.961405 | + | 0.275138i | \(0.911277\pi\) | |||||||
\(860\) | 52473.2 | − | 8820.12i | 2.08061 | − | 0.349725i | ||||
\(861\) | −41888.5 | + | 26815.4i | −1.65802 | + | 1.06140i | ||||
\(862\) | −24157.0 | + | 2016.11i | −0.954515 | + | 0.0796625i | ||||
\(863\) | 35088.5 | 1.38404 | 0.692021 | − | 0.721878i | \(-0.256721\pi\) | ||||
0.692021 | + | 0.721878i | \(0.256721\pi\) | |||||||
\(864\) | −13356.8 | − | 21600.2i | −0.525936 | − | 0.850524i | ||||
\(865\) | 785.843 | 0.0308896 | ||||||||
\(866\) | −5139.72 | + | 428.954i | −0.201680 | + | 0.0168319i | ||||
\(867\) | 20062.4 | + | 10387.9i | 0.785878 | + | 0.406911i | ||||
\(868\) | −5950.97 | + | 1000.29i | −0.232706 | + | 0.0391152i | ||||
\(869\) | 12405.2 | − | 34083.0i | 0.484255 | − | 1.33048i | ||||
\(870\) | −43117.8 | + | 32962.0i | −1.68026 | + | 1.28450i | ||||
\(871\) | 1576.81 | + | 278.033i | 0.0613410 | + | 0.0108161i | ||||
\(872\) | −24660.1 | + | 6291.42i | −0.957678 | + | 0.244328i | ||||
\(873\) | 20141.7 | − | 9500.11i | 0.780861 | − | 0.368305i | ||||
\(874\) | 2554.83 | − | 9384.40i | 0.0988768 | − | 0.363195i | ||||
\(875\) | −10516.3 | + | 3827.63i | −0.406305 | + | 0.147883i | ||||
\(876\) | −36758.5 | − | 11825.0i | −1.41776 | − | 0.456083i | ||||
\(877\) | 37014.4 | − | 31058.8i | 1.42519 | − | 1.19587i | 0.476696 | − | 0.879068i | \(-0.341834\pi\) |
0.948490 | − | 0.316806i | \(-0.102610\pi\) | |||||||
\(878\) | 40146.6 | + | 3674.27i | 1.54314 | + | 0.141231i | ||||
\(879\) | −2118.22 | − | 9456.36i | −0.0812808 | − | 0.362861i | ||||
\(880\) | −15457.9 | − | 44682.4i | −0.592143 | − | 1.71164i | ||||
\(881\) | −41808.4 | + | 24138.1i | −1.59882 | + | 0.923078i | −0.607103 | + | 0.794623i | \(0.707669\pi\) |
−0.991715 | + | 0.128455i | \(0.958998\pi\) | |||||||
\(882\) | 38563.1 | + | 6784.18i | 1.47221 | + | 0.258997i | ||||
\(883\) | −39675.6 | − | 22906.7i | −1.51211 | − | 0.873016i | −0.999900 | − | 0.0141546i | \(-0.995494\pi\) |
−0.512208 | − | 0.858861i | \(-0.671172\pi\) | |||||||
\(884\) | −851.502 | + | 4612.96i | −0.0323972 | + | 0.175510i | ||||
\(885\) | −15750.6 | − | 12031.0i | −0.598250 | − | 0.456969i | ||||
\(886\) | −5232.39 | + | 2414.47i | −0.198404 | + | 0.0915526i | ||||
\(887\) | 1899.27 | + | 10771.3i | 0.0718954 | + | 0.407739i | 0.999422 | + | 0.0339830i | \(0.0108192\pi\) |
−0.927527 | + | 0.373756i | \(0.878070\pi\) | |||||||
\(888\) | −3851.63 | + | 4121.43i | −0.145554 | + | 0.155750i | ||||
\(889\) | 32979.3 | + | 27672.9i | 1.24420 | + | 1.04400i | ||||
\(890\) | 29447.9 | − | 29213.2i | 1.10910 | − | 1.10026i | ||||
\(891\) | 28076.2 | − | 16540.3i | 1.05565 | − | 0.621908i | ||||
\(892\) | 42658.2 | + | 341.337i | 1.60123 | + | 0.0128126i | ||||
\(893\) | 2946.86 | − | 3511.93i | 0.110429 | − | 0.131604i | ||||
\(894\) | −16715.1 | + | 18175.4i | −0.625322 | + | 0.679951i | ||||
\(895\) | −12634.0 | + | 2227.71i | −0.471852 | + | 0.0832002i | ||||
\(896\) | −38879.7 | + | 16821.1i | −1.44964 | + | 0.627179i | ||||
\(897\) | 12466.6 | − | 16320.8i | 0.464043 | − | 0.607510i | ||||
\(898\) | −8606.22 | + | 5974.97i | −0.319815 | + | 0.222035i | ||||
\(899\) | 2880.82 | − | 4989.72i | 0.106875 | − | 0.185113i | ||||
\(900\) | 28952.8 | + | 13628.4i | 1.07233 | + | 0.504755i | ||||
\(901\) | 5867.30 | + | 10162.5i | 0.216946 | + | 0.375761i | ||||
\(902\) | 37422.9 | + | 17633.2i | 1.38143 | + | 0.650911i | ||||
\(903\) | 59692.0 | − | 13371.0i | 2.19981 | − | 0.492755i | ||||
\(904\) | 4602.63 | − | 46213.0i | 0.169338 | − | 1.70024i | ||||
\(905\) | −41733.4 | − | 49735.9i | −1.53289 | − | 1.82682i | ||||
\(906\) | 37848.9 | − | 19616.1i | 1.38791 | − | 0.719318i | ||||
\(907\) | −1498.49 | − | 4117.08i | −0.0548585 | − | 0.150723i | 0.909237 | − | 0.416280i | \(-0.136666\pi\) |
−0.964095 | + | 0.265557i | \(0.914444\pi\) | |||||||
\(908\) | −13089.2 | + | 7418.06i | −0.478393 | + | 0.271120i | ||||
\(909\) | −38296.7 | − | 3181.12i | −1.39738 | − | 0.116074i | ||||
\(910\) | −8599.35 | − | 32614.6i | −0.313259 | − | 1.18809i | ||||
\(911\) | −2795.66 | + | 15855.0i | −0.101673 | + | 0.576618i | 0.890824 | + | 0.454349i | \(0.150128\pi\) |
−0.992497 | + | 0.122269i | \(0.960983\pi\) | |||||||
\(912\) | −1029.09 | + | 7061.84i | −0.0373647 | + | 0.256405i | ||||
\(913\) | 42372.6 | + | 15422.4i | 1.53596 | + | 0.559043i | ||||
\(914\) | 14662.8 | + | 10354.7i | 0.530639 | + | 0.374730i | ||||
\(915\) | −8699.77 | + | 16802.1i | −0.314323 | + | 0.607059i | ||||
\(916\) | −16714.4 | + | 19598.8i | −0.602904 | + | 0.706948i | ||||
\(917\) | − | 26800.2i | − | 0.965126i | ||||||
\(918\) | −6390.96 | − | 6938.39i | −0.229775 | − | 0.249456i | ||||
\(919\) | − | 8129.39i | − | 0.291800i | −0.989299 | − | 0.145900i | \(-0.953392\pi\) | ||
0.989299 | − | 0.145900i | \(-0.0466077\pi\) | |||||||
\(920\) | 59754.5 | − | 4505.88i | 2.14136 | − | 0.161472i | ||||
\(921\) | −120.044 | − | 187.522i | −0.00429489 | − | 0.00670908i | ||||
\(922\) | −9509.56 | + | 13466.1i | −0.339675 | + | 0.480999i | ||||
\(923\) | 5169.36 | + | 1881.49i | 0.184346 | + | 0.0670965i | ||||
\(924\) | −20509.0 | − | 50337.8i | −0.730192 | − | 1.79220i | ||||
\(925\) | 1234.26 | − | 6999.85i | 0.0438728 | − | 0.248815i | ||||
\(926\) | 20140.3 | − | 5310.30i | 0.714742 | − | 0.188453i | ||||
\(927\) | 4608.44 | − | 17506.1i | 0.163281 | − | 0.620254i | ||||
\(928\) | 11247.9 | − | 38851.8i | 0.397877 | − | 1.37432i | ||||
\(929\) | −10134.2 | − | 27843.5i | −0.357903 | − | 0.983331i | −0.979756 | − | 0.200197i | \(-0.935842\pi\) |
0.621852 | − | 0.783135i | \(-0.286380\pi\) | |||||||
\(930\) | −6256.90 | − | 284.498i | −0.220615 | − | 0.0100313i | ||||
\(931\) | −7072.43 | − | 8428.60i | −0.248968 | − | 0.296709i | ||||
\(932\) | −13117.9 | + | 10829.5i | −0.461041 | + | 0.380615i | ||||
\(933\) | −17570.1 | − | 19090.1i | −0.616526 | − | 0.669861i | ||||
\(934\) | −12705.9 | + | 26965.7i | −0.445128 | + | 0.944694i | ||||
\(935\) | −8780.98 | − | 15209.1i | −0.307132 | − | 0.531969i | ||||
\(936\) | −7633.78 | + | 12992.7i | −0.266579 | + | 0.453718i | ||||
\(937\) | 18453.7 | − | 31962.7i | 0.643389 | − | 1.11438i | −0.341282 | − | 0.939961i | \(-0.610861\pi\) |
0.984671 | − | 0.174422i | \(-0.0558057\pi\) | |||||||
\(938\) | 3062.96 | + | 4411.82i | 0.106620 | + | 0.153573i | ||||
\(939\) | 10683.9 | + | 25633.8i | 0.371305 | + | 0.890872i | ||||
\(940\) | 26464.7 | + | 9872.87i | 0.918279 | + | 0.342572i | ||||
\(941\) | 44514.8 | − | 7849.17i | 1.54213 | − | 0.271919i | 0.663042 | − | 0.748582i | \(-0.269265\pi\) |
0.879086 | + | 0.476664i | \(0.158154\pi\) | |||||||
\(942\) | 777.432 | − | 3477.06i | 0.0268897 | − | 0.120264i | ||||
\(943\) | −33702.5 | + | 40165.1i | −1.16384 | + | 1.38701i | ||||
\(944\) | 14768.8 | + | 236.365i | 0.509197 | + | 0.00814940i | ||||
\(945\) | 62834.8 | + | 25543.4i | 2.16298 | + | 0.879288i | ||||
\(946\) | −35833.5 | − | 36121.4i | −1.23155 | − | 1.24144i | ||||
\(947\) | −33406.6 | − | 28031.5i | −1.14632 | − | 0.961881i | −0.146697 | − | 0.989181i | \(-0.546864\pi\) |
−0.999627 | + | 0.0273007i | \(0.991309\pi\) | |||||||
\(948\) | −29828.1 | − | 15748.3i | −1.02191 | − | 0.539538i | ||||
\(949\) | 3978.65 | + | 22564.0i | 0.136093 | + | 0.771822i | ||||
\(950\) | −3767.58 | − | 8164.73i | −0.128670 | − | 0.278841i | ||||
\(951\) | 3444.92 | − | 26618.2i | 0.117465 | − | 0.907630i | ||||
\(952\) | −12996.9 | + | 8869.96i | −0.442469 | + | 0.301972i | ||||
\(953\) | −48979.1 | − | 28278.1i | −1.66484 | − | 0.961194i | −0.970355 | − | 0.241685i | \(-0.922300\pi\) |
−0.694483 | − | 0.719509i | \(-0.744367\pi\) | |||||||
\(954\) | 6560.54 | + | 37121.8i | 0.222647 | + | 1.25981i | ||||
\(955\) | −11061.4 | + | 6386.29i | −0.374804 | + | 0.216393i | ||||
\(956\) | −11824.9 | − | 33315.6i | −0.400045 | − | 1.12709i | ||||
\(957\) | 49530.1 | + | 15497.3i | 1.67302 | + | 0.523466i | ||||
\(958\) | −4168.53 | + | 45547.0i | −0.140583 | + | 1.53607i | ||||
\(959\) | −58464.6 | + | 49057.6i | −1.96863 | + | 1.65188i | ||||
\(960\) | −43124.5 | + | 8578.35i | −1.44983 | + | 0.288401i | ||||
\(961\) | −27369.6 | + | 9961.71i | −0.918719 | + | 0.334387i | ||||
\(962\) | 3229.66 | + | 879.249i | 0.108242 | + | 0.0294679i | ||||
\(963\) | −19046.1 | + | 1750.63i | −0.637332 | + | 0.0585807i | ||||
\(964\) | −2748.85 | − | 1616.51i | −0.0918406 | − | 0.0540086i | ||||
\(965\) | −74353.3 | − | 13110.5i | −2.48033 | − | 0.437349i | ||||
\(966\) | 68317.5 | − | 8868.75i | 2.27545 | − | 0.295391i | ||||
\(967\) | 6335.86 | − | 17407.6i | 0.210701 | − | 0.578895i | −0.788653 | − | 0.614838i | \(-0.789221\pi\) |
0.999354 | + | 0.0359430i | \(0.0114435\pi\) | |||||||
\(968\) | −8805.32 | + | 12259.5i | −0.292369 | + | 0.407060i | ||||
\(969\) | 121.439 | + | 2647.98i | 0.00402599 | + | 0.0877866i | ||||
\(970\) | −3206.70 | − | 38422.6i | −0.106145 | − | 1.27183i | ||||
\(971\) | −53399.6 | −1.76486 | −0.882428 | − | 0.470447i | \(-0.844093\pi\) | ||||
−0.882428 | + | 0.470447i | \(0.844093\pi\) | |||||||
\(972\) | −11680.1 | − | 27962.6i | −0.385432 | − | 0.922736i | ||||
\(973\) | −6084.54 | −0.200474 | ||||||||
\(974\) | −2820.39 | − | 33793.9i | −0.0927835 | − | 1.11173i | ||||
\(975\) | −869.885 | − | 18967.8i | −0.0285729 | − | 0.623032i | ||||
\(976\) | −2226.02 | − | 13923.8i | −0.0730052 | − | 0.456649i | ||||
\(977\) | −145.351 | + | 399.349i | −0.00475967 | + | 0.0130771i | −0.942050 | − | 0.335473i | \(-0.891104\pi\) |
0.937290 | + | 0.348550i | \(0.113326\pi\) | |||||||
\(978\) | −1046.20 | + | 135.815i | −0.0342065 | + | 0.00444057i | ||||
\(979\) | −39061.7 | − | 6887.62i | −1.27520 | − | 0.224851i | ||||
\(980\) | 34364.1 | − | 58435.5i | 1.12012 | − | 1.90475i | ||||
\(981\) | −30240.5 | + | 2779.57i | −0.984205 | + | 0.0904637i | ||||
\(982\) | 38784.3 | + | 10558.7i | 1.26034 | + | 0.343118i | ||||
\(983\) | −11450.4 | + | 4167.59i | −0.371525 | + | 0.135224i | −0.521033 | − | 0.853536i | \(-0.674453\pi\) |
0.149508 | + | 0.988761i | \(0.452231\pi\) | |||||||
\(984\) | 20988.1 | − | 32242.6i | 0.679956 | − | 1.04457i | ||||
\(985\) | −41724.1 | + | 35010.7i | −1.34968 | + | 1.13252i | ||||
\(986\) | 1369.27 | − | 14961.2i | 0.0442256 | − | 0.483227i | ||||
\(987\) | 30991.3 | + | 9696.76i | 0.999457 | + | 0.312716i | ||||
\(988\) | 3990.62 | − | 1416.41i | 0.128500 | − | 0.0456093i | ||||
\(989\) | 55846.7 | − | 32243.1i | 1.79557 | − | 1.03667i | ||||
\(990\) | −9818.48 | − | 55556.4i | −0.315204 | − | 1.78353i | ||||
\(991\) | −16574.9 | − | 9569.50i | −0.531299 | − | 0.306746i | 0.210246 | − | 0.977648i | \(-0.432573\pi\) |
−0.741545 | + | 0.670903i | \(0.765907\pi\) | |||||||
\(992\) | 3876.38 | − | 2600.29i | 0.124068 | − | 0.0832251i | ||||
\(993\) | −1727.01 | + | 13344.3i | −0.0551913 | + | 0.426454i | ||||
\(994\) | 7731.60 | + | 16755.1i | 0.246712 | + | 0.534649i | ||||
\(995\) | −4709.75 | − | 26710.3i | −0.150060 | − | 0.851030i | ||||
\(996\) | 19578.6 | − | 37082.9i | 0.622863 | − | 1.17974i | ||||
\(997\) | 11876.1 | + | 9965.24i | 0.377252 | + | 0.316552i | 0.811622 | − | 0.584182i | \(-0.198585\pi\) |
−0.434371 | + | 0.900734i | \(0.643029\pi\) | |||||||
\(998\) | −14011.0 | − | 14123.6i | −0.444399 | − | 0.447969i | ||||
\(999\) | −5313.05 | + | 4132.73i | −0.168266 | + | 0.130885i |
(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 | 108.4.l.a.11.2 | ✓ | 312 | |
4.3 | odd | 2 | inner | 108.4.l.a.11.28 | yes | 312 | |
27.5 | odd | 18 | inner | 108.4.l.a.59.28 | yes | 312 | |
108.59 | even | 18 | inner | 108.4.l.a.59.2 | yes | 312 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.4.l.a.11.2 | ✓ | 312 | 1.1 | even | 1 | trivial | |
108.4.l.a.11.28 | yes | 312 | 4.3 | odd | 2 | inner | |
108.4.l.a.59.2 | yes | 312 | 108.59 | even | 18 | inner | |
108.4.l.a.59.28 | yes | 312 | 27.5 | odd | 18 | inner |