Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [162,4,Mod(7,162)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(162, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("162.7");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 162 = 2 \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 162.g (of order \(27\), degree \(18\), 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: | \(9.55830942093\) |
Analytic rank: | \(0\) |
Dimension: | \(234\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 13.5 | ||
Character | \(\chi\) | \(=\) | 162.13 |
Dual form | 162.4.g.a.25.5 |
$q$-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 \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).
\(n\) | \(83\) |
\(\chi(n)\) | \(e\left(\frac{4}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.78727 | + | 0.897598i | 0.631894 | + | 0.317349i | ||||
\(3\) | −2.81153 | − | 4.36982i | −0.541079 | − | 0.840972i | ||||
\(4\) | 2.38863 | + | 3.20849i | 0.298579 | + | 0.401062i | ||||
\(5\) | 5.60704 | + | 18.7288i | 0.501509 | + | 1.67516i | 0.715735 | + | 0.698372i | \(0.246092\pi\) |
−0.214226 | + | 0.976784i | \(0.568723\pi\) | |||||||
\(6\) | −1.10260 | − | 10.3336i | −0.0750227 | − | 0.703116i | ||||
\(7\) | −5.60229 | − | 12.9876i | −0.302495 | − | 0.701263i | 0.697385 | − | 0.716696i | \(-0.254347\pi\) |
−0.999881 | + | 0.0154330i | \(0.995087\pi\) | |||||||
\(8\) | 1.38919 | + | 7.87846i | 0.0613939 | + | 0.348182i | ||||
\(9\) | −11.1906 | + | 24.5717i | −0.414467 | + | 0.910064i | ||||
\(10\) | −6.78969 | + | 38.5062i | −0.214709 | + | 1.21767i | ||||
\(11\) | −56.0898 | + | 13.2935i | −1.53743 | + | 0.364377i | −0.910104 | − | 0.414380i | \(-0.863998\pi\) |
−0.627325 | + | 0.778758i | \(0.715850\pi\) | |||||||
\(12\) | 7.30482 | − | 19.4587i | 0.175727 | − | 0.468103i | ||||
\(13\) | 54.9819 | + | 36.1622i | 1.17302 | + | 0.771507i | 0.977859 | − | 0.209265i | \(-0.0671071\pi\) |
0.195160 | + | 0.980771i | \(0.437477\pi\) | |||||||
\(14\) | 1.64484 | − | 28.2409i | 0.0314002 | − | 0.539120i | ||||
\(15\) | 66.0772 | − | 77.1584i | 1.13740 | − | 1.32815i | ||||
\(16\) | −4.58885 | + | 15.3278i | −0.0717008 | + | 0.239497i | ||||
\(17\) | −83.3537 | + | 30.3383i | −1.18919 | + | 0.432830i | −0.859439 | − | 0.511238i | \(-0.829187\pi\) |
−0.329751 | + | 0.944068i | \(0.606965\pi\) | |||||||
\(18\) | −42.0562 | + | 33.8715i | −0.550707 | + | 0.443533i | ||||
\(19\) | 127.507 | + | 46.4087i | 1.53958 | + | 0.560363i | 0.965946 | − | 0.258745i | \(-0.0833090\pi\) |
0.573639 | + | 0.819108i | \(0.305531\pi\) | |||||||
\(20\) | −46.6981 | + | 62.7265i | −0.522101 | + | 0.701303i | ||||
\(21\) | −41.0023 | + | 60.9959i | −0.426069 | + | 0.633829i | ||||
\(22\) | −112.180 | − | 26.5871i | −1.08713 | − | 0.257654i | ||||
\(23\) | −22.8166 | + | 52.8949i | −0.206852 | + | 0.479536i | −0.989785 | − | 0.142570i | \(-0.954464\pi\) |
0.782933 | + | 0.622106i | \(0.213723\pi\) | |||||||
\(24\) | 30.5217 | − | 28.2210i | 0.259592 | − | 0.240025i | ||||
\(25\) | −214.894 | + | 141.338i | −1.71915 | + | 1.13070i | ||||
\(26\) | 65.8082 | + | 113.983i | 0.496386 | + | 0.859766i | ||||
\(27\) | 138.837 | − | 20.1831i | 0.989598 | − | 0.143861i | ||||
\(28\) | 28.2887 | − | 48.9975i | 0.190931 | − | 0.330702i | ||||
\(29\) | 5.81662 | + | 99.8675i | 0.0372455 | + | 0.639481i | 0.964342 | + | 0.264658i | \(0.0852592\pi\) |
−0.927097 | + | 0.374822i | \(0.877704\pi\) | |||||||
\(30\) | 187.355 | − | 78.5917i | 1.14020 | − | 0.478294i | ||||
\(31\) | 132.595 | − | 15.4981i | 0.768219 | − | 0.0897919i | 0.277049 | − | 0.960856i | \(-0.410644\pi\) |
0.491170 | + | 0.871064i | \(0.336569\pi\) | |||||||
\(32\) | −21.9597 | + | 23.2760i | −0.121312 | + | 0.128583i | ||||
\(33\) | 215.788 | + | 207.727i | 1.13830 | + | 1.09578i | ||||
\(34\) | −176.207 | − | 20.5956i | −0.888800 | − | 0.103886i | ||||
\(35\) | 211.830 | − | 177.746i | 1.02302 | − | 0.858417i | ||||
\(36\) | −105.569 | + | 22.7879i | −0.488743 | + | 0.105499i | ||||
\(37\) | −20.8373 | − | 17.4846i | −0.0925848 | − | 0.0776879i | 0.595320 | − | 0.803488i | \(-0.297025\pi\) |
−0.687905 | + | 0.725801i | \(0.741470\pi\) | |||||||
\(38\) | 186.232 | + | 197.395i | 0.795023 | + | 0.842675i | ||||
\(39\) | 3.43894 | − | 341.932i | 0.0141198 | − | 1.40392i | ||||
\(40\) | −139.765 | + | 70.1927i | −0.552470 | + | 0.277461i | ||||
\(41\) | 75.7145 | − | 38.0253i | 0.288405 | − | 0.144843i | −0.298715 | − | 0.954342i | \(-0.596558\pi\) |
0.587120 | + | 0.809500i | \(0.300262\pi\) | |||||||
\(42\) | −128.032 | + | 72.2123i | −0.470375 | + | 0.265300i | ||||
\(43\) | −162.424 | − | 172.159i | −0.576032 | − | 0.610558i | 0.372194 | − | 0.928155i | \(-0.378606\pi\) |
−0.948226 | + | 0.317597i | \(0.897124\pi\) | |||||||
\(44\) | −176.630 | − | 148.210i | −0.605182 | − | 0.507808i | ||||
\(45\) | −522.946 | − | 71.8124i | −1.73236 | − | 0.237893i | ||||
\(46\) | −88.2577 | + | 74.0570i | −0.282889 | + | 0.237372i | ||||
\(47\) | −388.495 | − | 45.4086i | −1.20570 | − | 0.140926i | −0.510586 | − | 0.859827i | \(-0.670572\pi\) |
−0.695113 | + | 0.718901i | \(0.744646\pi\) | |||||||
\(48\) | 79.8815 | − | 23.0422i | 0.240206 | − | 0.0692886i | ||||
\(49\) | 98.0894 | − | 103.969i | 0.285975 | − | 0.303116i | ||||
\(50\) | −510.937 | + | 59.7200i | −1.44515 | + | 0.168914i | ||||
\(51\) | 366.924 | + | 278.944i | 1.00744 | + | 0.765881i | ||||
\(52\) | 15.3056 | + | 262.787i | 0.0408175 | + | 0.700809i | ||||
\(53\) | 198.384 | − | 343.610i | 0.514152 | − | 0.890538i | −0.485713 | − | 0.874118i | \(-0.661440\pi\) |
0.999865 | − | 0.0164196i | \(-0.00522675\pi\) | |||||||
\(54\) | 266.254 | + | 88.5470i | 0.670975 | + | 0.223143i | ||||
\(55\) | −563.470 | − | 975.959i | −1.38142 | − | 2.39270i | ||||
\(56\) | 94.5395 | − | 62.1796i | 0.225596 | − | 0.148377i | ||||
\(57\) | −155.692 | − | 687.662i | −0.361787 | − | 1.59795i | ||||
\(58\) | −79.2451 | + | 183.711i | −0.179403 | + | 0.415904i | ||||
\(59\) | −45.9039 | − | 10.8794i | −0.101291 | − | 0.0240064i | 0.179658 | − | 0.983729i | \(-0.442501\pi\) |
−0.280949 | + | 0.959723i | \(0.590649\pi\) | |||||||
\(60\) | 405.396 | + | 27.7051i | 0.872274 | + | 0.0596119i | ||||
\(61\) | 526.358 | − | 707.022i | 1.10481 | − | 1.48401i | 0.247729 | − | 0.968829i | \(-0.420316\pi\) |
0.857079 | − | 0.515185i | \(-0.172277\pi\) | |||||||
\(62\) | 250.894 | + | 91.3179i | 0.513928 | + | 0.187055i | ||||
\(63\) | 381.820 | + | 7.68099i | 0.763569 | + | 0.0153605i | ||||
\(64\) | −60.1403 | + | 21.8893i | −0.117462 | + | 0.0427525i | ||||
\(65\) | −368.989 | + | 1232.51i | −0.704115 | + | 2.35191i | ||||
\(66\) | 199.216 | + | 564.955i | 0.371541 | + | 1.05365i | ||||
\(67\) | −1.72918 | + | 29.6889i | −0.00315303 | + | 0.0541355i | −0.999518 | − | 0.0310557i | \(-0.990113\pi\) |
0.996365 | + | 0.0851912i | \(0.0271501\pi\) | |||||||
\(68\) | −296.442 | − | 194.973i | −0.528659 | − | 0.347705i | ||||
\(69\) | 295.290 | − | 49.0109i | 0.515200 | − | 0.0855104i | ||||
\(70\) | 538.141 | − | 127.542i | 0.918859 | − | 0.217774i | ||||
\(71\) | 96.0332 | − | 544.631i | 0.160522 | − | 0.910364i | −0.793041 | − | 0.609169i | \(-0.791503\pi\) |
0.953562 | − | 0.301195i | \(-0.0973856\pi\) | |||||||
\(72\) | −209.133 | − | 54.0302i | −0.342314 | − | 0.0884378i | ||||
\(73\) | 205.105 | + | 1163.21i | 0.328846 | + | 1.86498i | 0.481139 | + | 0.876644i | \(0.340223\pi\) |
−0.152293 | + | 0.988335i | \(0.548666\pi\) | |||||||
\(74\) | −21.5477 | − | 49.9532i | −0.0338496 | − | 0.0784721i | ||||
\(75\) | 1221.80 | + | 541.672i | 1.88109 | + | 0.833958i | ||||
\(76\) | 155.665 | + | 519.959i | 0.234948 | + | 0.784781i | ||||
\(77\) | 486.882 | + | 653.997i | 0.720590 | + | 0.967920i | ||||
\(78\) | 313.064 | − | 608.037i | 0.454455 | − | 0.882648i | ||||
\(79\) | 40.5975 | + | 20.3888i | 0.0578174 | + | 0.0290370i | 0.477473 | − | 0.878646i | \(-0.341553\pi\) |
−0.419656 | + | 0.907683i | \(0.637849\pi\) | |||||||
\(80\) | −312.802 | −0.437154 | ||||||||
\(81\) | −478.540 | − | 549.946i | −0.656433 | − | 0.754384i | ||||
\(82\) | 169.453 | 0.228207 | ||||||||
\(83\) | 523.152 | + | 262.737i | 0.691847 | + | 0.347459i | 0.759734 | − | 0.650234i | \(-0.225329\pi\) |
−0.0678864 | + | 0.997693i | \(0.521626\pi\) | |||||||
\(84\) | −293.645 | + | 14.1413i | −0.381420 | + | 0.0183683i | ||||
\(85\) | −1035.57 | − | 1391.01i | −1.32145 | − | 1.77501i | ||||
\(86\) | −135.764 | − | 453.485i | −0.170231 | − | 0.568611i | ||||
\(87\) | 420.049 | − | 306.198i | 0.517632 | − | 0.377332i | ||||
\(88\) | −182.652 | − | 423.434i | −0.221258 | − | 0.512935i | ||||
\(89\) | 55.0970 | + | 312.471i | 0.0656210 | + | 0.372155i | 0.999879 | + | 0.0155573i | \(0.00495224\pi\) |
−0.934258 | + | 0.356598i | \(0.883937\pi\) | |||||||
\(90\) | −870.184 | − | 597.743i | −1.01917 | − | 0.700085i | ||||
\(91\) | 161.634 | − | 916.673i | 0.186196 | − | 1.05597i | ||||
\(92\) | −224.213 | + | 53.1395i | −0.254085 | + | 0.0602193i | ||||
\(93\) | −440.519 | − | 535.843i | −0.491179 | − | 0.597466i | ||||
\(94\) | −653.586 | − | 429.870i | −0.717151 | − | 0.471678i | ||||
\(95\) | −154.244 | + | 2648.27i | −0.166580 | + | 2.86007i | ||||
\(96\) | 163.452 | + | 30.5190i | 0.173774 | + | 0.0324462i | ||||
\(97\) | −16.3459 | + | 54.5990i | −0.0171100 | + | 0.0571514i | −0.966118 | − | 0.258100i | \(-0.916904\pi\) |
0.949008 | + | 0.315251i | \(0.102089\pi\) | |||||||
\(98\) | 268.634 | − | 97.7747i | 0.276899 | − | 0.100783i | ||||
\(99\) | 301.035 | − | 1526.99i | 0.305607 | − | 1.55018i | ||||
\(100\) | −966.784 | − | 351.881i | −0.966784 | − | 0.351881i | ||||
\(101\) | 232.413 | − | 312.184i | 0.228970 | − | 0.307560i | −0.672759 | − | 0.739861i | \(-0.734891\pi\) |
0.901729 | + | 0.432302i | \(0.142298\pi\) | |||||||
\(102\) | 405.411 | + | 827.897i | 0.393546 | + | 0.803667i | ||||
\(103\) | 14.9014 | + | 3.53171i | 0.0142552 | + | 0.00337854i | 0.237737 | − | 0.971329i | \(-0.423594\pi\) |
−0.223482 | + | 0.974708i | \(0.571742\pi\) | |||||||
\(104\) | −208.522 | + | 483.409i | −0.196609 | + | 0.455790i | ||||
\(105\) | −1372.28 | − | 425.919i | −1.27544 | − | 0.395861i | ||||
\(106\) | 662.988 | − | 436.054i | 0.607501 | − | 0.399560i | ||||
\(107\) | 673.271 | + | 1166.14i | 0.608295 | + | 1.05360i | 0.991521 | + | 0.129943i | \(0.0414795\pi\) |
−0.383227 | + | 0.923654i | \(0.625187\pi\) | |||||||
\(108\) | 396.388 | + | 397.247i | 0.353171 | + | 0.353936i | ||||
\(109\) | −756.574 | + | 1310.43i | −0.664832 | + | 1.15152i | 0.314499 | + | 0.949258i | \(0.398163\pi\) |
−0.979331 | + | 0.202265i | \(0.935170\pi\) | |||||||
\(110\) | −131.051 | − | 2250.07i | −0.113593 | − | 1.95032i | ||||
\(111\) | −17.8198 | + | 140.214i | −0.0152376 | + | 0.119896i | ||||
\(112\) | 224.780 | − | 26.2730i | 0.189640 | − | 0.0221657i | ||||
\(113\) | 430.088 | − | 455.866i | 0.358046 | − | 0.379507i | −0.523163 | − | 0.852232i | \(-0.675248\pi\) |
0.881210 | + | 0.472725i | \(0.156730\pi\) | |||||||
\(114\) | 338.982 | − | 1368.78i | 0.278496 | − | 1.12455i | ||||
\(115\) | −1118.59 | − | 130.745i | −0.907037 | − | 0.106017i | ||||
\(116\) | −306.531 | + | 257.210i | −0.245350 | + | 0.205873i | ||||
\(117\) | −1503.85 | + | 946.324i | −1.18830 | + | 0.747758i | ||||
\(118\) | −72.2770 | − | 60.6476i | −0.0563868 | − | 0.0473141i | ||||
\(119\) | 860.993 | + | 912.599i | 0.663253 | + | 0.703007i | ||||
\(120\) | 699.683 | + | 413.399i | 0.532267 | + | 0.314484i | ||||
\(121\) | 1779.92 | − | 893.912i | 1.33728 | − | 0.671609i | ||||
\(122\) | 1575.36 | − | 791.177i | 1.16907 | − | 0.587130i | ||||
\(123\) | −379.037 | − | 223.950i | −0.277859 | − | 0.164170i | ||||
\(124\) | 366.447 | + | 388.411i | 0.265386 | + | 0.281293i | ||||
\(125\) | −1979.98 | − | 1661.40i | −1.41676 | − | 1.18880i | ||||
\(126\) | 675.520 | + | 356.449i | 0.477620 | + | 0.252024i | ||||
\(127\) | −1098.58 | + | 921.817i | −0.767583 | + | 0.644079i | −0.940089 | − | 0.340930i | \(-0.889258\pi\) |
0.172505 | + | 0.985009i | \(0.444814\pi\) | |||||||
\(128\) | −127.135 | − | 14.8599i | −0.0877907 | − | 0.0102613i | ||||
\(129\) | −295.645 | + | 1193.79i | −0.201783 | + | 0.814786i | ||||
\(130\) | −1765.78 | + | 1871.62i | −1.19130 | + | 1.26271i | ||||
\(131\) | 756.752 | − | 88.4516i | 0.504716 | − | 0.0589928i | 0.140075 | − | 0.990141i | \(-0.455266\pi\) |
0.364641 | + | 0.931148i | \(0.381192\pi\) | |||||||
\(132\) | −151.052 | + | 1188.54i | −0.0996011 | + | 0.783705i | ||||
\(133\) | −111.594 | − | 1916.00i | −0.0727554 | − | 1.24916i | ||||
\(134\) | −29.7392 | + | 51.5098i | −0.0191722 | + | 0.0332073i | ||||
\(135\) | 1156.47 | + | 2487.08i | 0.737282 | + | 1.58558i | ||||
\(136\) | −354.813 | − | 614.554i | −0.223713 | − | 0.387482i | ||||
\(137\) | 858.784 | − | 564.831i | 0.535554 | − | 0.352239i | −0.252744 | − | 0.967533i | \(-0.581333\pi\) |
0.788298 | + | 0.615294i | \(0.210963\pi\) | |||||||
\(138\) | 571.754 | + | 177.457i | 0.352688 | + | 0.109465i | ||||
\(139\) | 24.0071 | − | 55.6547i | 0.0146493 | − | 0.0339609i | −0.910734 | − | 0.412993i | \(-0.864484\pi\) |
0.925384 | + | 0.379032i | \(0.123743\pi\) | |||||||
\(140\) | 1076.28 | + | 255.083i | 0.649731 | + | 0.153989i | ||||
\(141\) | 893.838 | + | 1825.32i | 0.533863 | + | 1.09021i | ||||
\(142\) | 660.497 | − | 887.201i | 0.390336 | − | 0.524312i | ||||
\(143\) | −3564.65 | − | 1297.43i | −2.08455 | − | 0.758715i | ||||
\(144\) | −325.279 | − | 284.284i | −0.188240 | − | 0.164516i | ||||
\(145\) | −1837.79 | + | 668.900i | −1.05255 | + | 0.383097i | ||||
\(146\) | −677.518 | + | 2263.07i | −0.384054 | + | 1.28283i | ||||
\(147\) | −730.105 | − | 136.322i | −0.409647 | − | 0.0764874i | ||||
\(148\) | 6.32644 | − | 108.621i | 0.00351372 | − | 0.0603282i | ||||
\(149\) | 1011.21 | + | 665.080i | 0.555981 | + | 0.365675i | 0.796190 | − | 0.605047i | \(-0.206846\pi\) |
−0.240209 | + | 0.970721i | \(0.577216\pi\) | |||||||
\(150\) | 1697.48 | + | 2064.80i | 0.923991 | + | 1.12393i | ||||
\(151\) | 3327.00 | − | 788.513i | 1.79303 | − | 0.424955i | 0.806865 | − | 0.590735i | \(-0.201162\pi\) |
0.986163 | + | 0.165780i | \(0.0530142\pi\) | |||||||
\(152\) | −188.499 | + | 1069.03i | −0.100587 | + | 0.570459i | ||||
\(153\) | 187.316 | − | 2387.65i | 0.0989778 | − | 1.26163i | ||||
\(154\) | 283.162 | + | 1605.89i | 0.148168 | + | 0.840301i | ||||
\(155\) | 1033.73 | + | 2396.45i | 0.535684 | + | 1.24186i | ||||
\(156\) | 1105.30 | − | 805.717i | 0.567275 | − | 0.413519i | ||||
\(157\) | −91.5747 | − | 305.881i | −0.0465507 | − | 0.155490i | 0.931554 | − | 0.363602i | \(-0.118453\pi\) |
−0.978105 | + | 0.208112i | \(0.933268\pi\) | |||||||
\(158\) | 54.2575 | + | 72.8805i | 0.0273196 | + | 0.0366966i | ||||
\(159\) | −2059.28 | + | 99.1702i | −1.02711 | + | 0.0494636i | ||||
\(160\) | −559.060 | − | 280.771i | −0.276235 | − | 0.138730i | ||||
\(161\) | 814.801 | 0.398853 | ||||||||
\(162\) | −361.647 | − | 1412.44i | −0.175393 | − | 0.685009i | ||||
\(163\) | −3104.98 | −1.49203 | −0.746014 | − | 0.665930i | \(-0.768035\pi\) | ||||
−0.746014 | + | 0.665930i | \(0.768035\pi\) | |||||||
\(164\) | 302.858 | + | 152.101i | 0.144203 | + | 0.0724213i | ||||
\(165\) | −2680.55 | + | 5206.20i | −1.26473 | + | 2.45637i | ||||
\(166\) | 699.179 | + | 939.160i | 0.326908 | + | 0.439114i | ||||
\(167\) | −125.376 | − | 418.784i | −0.0580949 | − | 0.194051i | 0.924016 | − | 0.382354i | \(-0.124886\pi\) |
−0.982111 | + | 0.188303i | \(0.939701\pi\) | |||||||
\(168\) | −537.514 | − | 238.301i | −0.246846 | − | 0.109436i | ||||
\(169\) | 845.122 | + | 1959.21i | 0.384671 | + | 0.891768i | ||||
\(170\) | −602.267 | − | 3415.63i | −0.271716 | − | 1.54098i | ||||
\(171\) | −2567.23 | + | 2613.72i | −1.14807 | + | 1.16887i | ||||
\(172\) | 164.400 | − | 932.359i | 0.0728802 | − | 0.413324i | ||||
\(173\) | −1852.04 | + | 438.942i | −0.813921 | + | 0.192903i | −0.616438 | − | 0.787404i | \(-0.711425\pi\) |
−0.197483 | + | 0.980306i | \(0.563277\pi\) | |||||||
\(174\) | 1025.58 | − | 170.221i | 0.446835 | − | 0.0741635i | ||||
\(175\) | 3039.54 | + | 1999.13i | 1.31296 | + | 0.863545i | ||||
\(176\) | 53.6268 | − | 920.737i | 0.0229675 | − | 0.394336i | ||||
\(177\) | 81.5189 | + | 231.179i | 0.0346177 | + | 0.0981723i | ||||
\(178\) | −182.000 | + | 607.923i | −0.0766375 | + | 0.255987i | ||||
\(179\) | 2221.99 | − | 808.737i | 0.927816 | − | 0.337697i | 0.166472 | − | 0.986046i | \(-0.446762\pi\) |
0.761344 | + | 0.648349i | \(0.224540\pi\) | |||||||
\(180\) | −1018.72 | − | 1849.40i | −0.421837 | − | 0.765813i | ||||
\(181\) | 4023.45 | + | 1464.42i | 1.65227 | + | 0.601377i | 0.989120 | − | 0.147109i | \(-0.0469967\pi\) |
0.663151 | + | 0.748486i | \(0.269219\pi\) | |||||||
\(182\) | 1111.69 | − | 1493.26i | 0.452768 | − | 0.608173i | ||||
\(183\) | −4569.43 | − | 312.278i | −1.84580 | − | 0.126144i | ||||
\(184\) | −448.427 | − | 106.279i | −0.179665 | − | 0.0425815i | ||||
\(185\) | 210.630 | − | 488.296i | 0.0837072 | − | 0.194055i | ||||
\(186\) | −306.352 | − | 1353.10i | −0.120768 | − | 0.533410i | ||||
\(187\) | 4271.99 | − | 2809.73i | 1.67058 | − | 1.09876i | ||||
\(188\) | −782.280 | − | 1354.95i | −0.303477 | − | 0.525637i | ||||
\(189\) | −1039.93 | − | 1690.08i | −0.400233 | − | 0.650451i | ||||
\(190\) | −2652.76 | + | 4594.71i | −1.01290 | + | 1.75440i | ||||
\(191\) | 138.029 | + | 2369.87i | 0.0522903 | + | 0.897789i | 0.917836 | + | 0.396959i | \(0.129935\pi\) |
−0.865546 | + | 0.500830i | \(0.833028\pi\) | |||||||
\(192\) | 264.738 | + | 201.260i | 0.0995096 | + | 0.0756494i | ||||
\(193\) | 2640.62 | − | 308.644i | 0.984850 | − | 0.115112i | 0.391604 | − | 0.920134i | \(-0.371920\pi\) |
0.593246 | + | 0.805021i | \(0.297846\pi\) | |||||||
\(194\) | −78.2223 | + | 82.9108i | −0.0289486 | + | 0.0306838i | ||||
\(195\) | 6423.27 | − | 1852.82i | 2.35887 | − | 0.680427i | ||||
\(196\) | 567.883 | + | 66.3759i | 0.206954 | + | 0.0241895i | ||||
\(197\) | −332.287 | + | 278.822i | −0.120175 | + | 0.100839i | −0.700895 | − | 0.713265i | \(-0.747216\pi\) |
0.580720 | + | 0.814104i | \(0.302771\pi\) | |||||||
\(198\) | 1908.65 | − | 2458.92i | 0.685060 | − | 0.882566i | ||||
\(199\) | 205.253 | + | 172.227i | 0.0731154 | + | 0.0613511i | 0.678613 | − | 0.734496i | \(-0.262581\pi\) |
−0.605498 | + | 0.795847i | \(0.707026\pi\) | |||||||
\(200\) | −1412.05 | − | 1496.69i | −0.499236 | − | 0.529159i | ||||
\(201\) | 134.597 | − | 75.9150i | 0.0472325 | − | 0.0266400i | ||||
\(202\) | 695.599 | − | 349.343i | 0.242288 | − | 0.121682i | ||||
\(203\) | 1264.45 | − | 635.031i | 0.437178 | − | 0.219559i | ||||
\(204\) | −18.5414 | + | 1843.57i | −0.00636353 | + | 0.632723i | ||||
\(205\) | 1136.70 | + | 1204.83i | 0.387272 | + | 0.410484i | ||||
\(206\) | 23.4628 | + | 19.6876i | 0.00793558 | + | 0.00665874i | ||||
\(207\) | −1044.39 | − | 1152.57i | −0.350676 | − | 0.387001i | ||||
\(208\) | −806.592 | + | 676.811i | −0.268880 | + | 0.225617i | ||||
\(209\) | −7768.78 | − | 908.040i | −2.57119 | − | 0.300528i | ||||
\(210\) | −2070.33 | − | 1992.99i | −0.680316 | − | 0.654902i | ||||
\(211\) | −3886.32 | + | 4119.26i | −1.26799 | + | 1.34399i | −0.355612 | + | 0.934634i | \(0.615728\pi\) |
−0.912375 | + | 0.409355i | \(0.865754\pi\) | |||||||
\(212\) | 1576.34 | − | 184.247i | 0.510676 | − | 0.0596894i | ||||
\(213\) | −2649.94 | + | 1111.60i | −0.852445 | + | 0.357584i | ||||
\(214\) | 156.589 | + | 2688.53i | 0.0500196 | + | 0.858804i | ||||
\(215\) | 2313.62 | − | 4007.30i | 0.733895 | − | 1.27114i | ||||
\(216\) | 351.882 | + | 1065.78i | 0.110845 | + | 0.335728i | ||||
\(217\) | −944.120 | − | 1635.26i | −0.295351 | − | 0.511562i | ||||
\(218\) | −2528.43 | + | 1662.98i | −0.785538 | + | 0.516656i | ||||
\(219\) | 4506.36 | − | 4166.67i | 1.39046 | − | 1.28565i | ||||
\(220\) | 1785.43 | − | 4139.10i | 0.547154 | − | 1.26845i | ||||
\(221\) | −5680.05 | − | 1346.20i | −1.72887 | − | 0.409751i | ||||
\(222\) | −157.704 | + | 234.604i | −0.0476776 | + | 0.0709262i | ||||
\(223\) | −253.140 | + | 340.026i | −0.0760156 | + | 0.102107i | −0.838505 | − | 0.544894i | \(-0.816570\pi\) |
0.762489 | + | 0.647001i | \(0.223977\pi\) | |||||||
\(224\) | 425.323 | + | 154.805i | 0.126867 | + | 0.0461756i | ||||
\(225\) | −1068.12 | − | 6861.97i | −0.316480 | − | 2.03318i | ||||
\(226\) | 1177.87 | − | 428.708i | 0.346683 | − | 0.126182i | ||||
\(227\) | 995.455 | − | 3325.05i | 0.291060 | − | 0.972209i | −0.679968 | − | 0.733242i | \(-0.738006\pi\) |
0.971028 | − | 0.238966i | \(-0.0768086\pi\) | |||||||
\(228\) | 1834.47 | − | 2142.11i | 0.532853 | − | 0.622213i | ||||
\(229\) | −130.914 | + | 2247.71i | −0.0377774 | + | 0.648614i | 0.925275 | + | 0.379298i | \(0.123835\pi\) |
−0.963052 | + | 0.269316i | \(0.913203\pi\) | |||||||
\(230\) | −1881.86 | − | 1237.72i | −0.539506 | − | 0.354839i | ||||
\(231\) | 1488.96 | − | 3966.32i | 0.424098 | − | 1.12972i | ||||
\(232\) | −778.722 | + | 184.561i | −0.220369 | + | 0.0522284i | ||||
\(233\) | 987.870 | − | 5602.49i | 0.277758 | − | 1.57524i | −0.452306 | − | 0.891863i | \(-0.649399\pi\) |
0.730064 | − | 0.683379i | \(-0.239490\pi\) | |||||||
\(234\) | −3537.20 | + | 341.479i | −0.988179 | + | 0.0953982i | ||||
\(235\) | −1327.86 | − | 7530.67i | −0.368596 | − | 2.09041i | ||||
\(236\) | −74.7410 | − | 173.269i | −0.0206154 | − | 0.0477918i | ||||
\(237\) | −25.0455 | − | 234.727i | −0.00686448 | − | 0.0643341i | ||||
\(238\) | 719.675 | + | 2403.88i | 0.196007 | + | 0.654708i | ||||
\(239\) | 1654.81 | + | 2222.80i | 0.447871 | + | 0.601595i | 0.967523 | − | 0.252783i | \(-0.0813460\pi\) |
−0.519652 | + | 0.854378i | \(0.673939\pi\) | |||||||
\(240\) | 879.452 | + | 1366.89i | 0.236535 | + | 0.367634i | ||||
\(241\) | −2687.05 | − | 1349.49i | −0.718207 | − | 0.360697i | 0.0518650 | − | 0.998654i | \(-0.483483\pi\) |
−0.770072 | + | 0.637957i | \(0.779780\pi\) | |||||||
\(242\) | 3983.57 | 1.05816 | ||||||||
\(243\) | −1057.73 | + | 3637.32i | −0.279233 | + | 0.960223i | ||||
\(244\) | 3525.75 | 0.925054 | ||||||||
\(245\) | 2497.20 | + | 1254.14i | 0.651185 | + | 0.327038i | ||||
\(246\) | −476.423 | − | 740.480i | −0.123478 | − | 0.191916i | ||||
\(247\) | 5332.34 | + | 7162.57i | 1.37364 | + | 1.84512i | ||||
\(248\) | 306.301 | + | 1023.12i | 0.0784279 | + | 0.261967i | ||||
\(249\) | −322.744 | − | 3024.77i | −0.0821409 | − | 0.769827i | ||||
\(250\) | −2047.48 | − | 4746.58i | −0.517975 | − | 1.20080i | ||||
\(251\) | 172.413 | + | 977.803i | 0.0433570 | + | 0.245890i | 0.998782 | − | 0.0493447i | \(-0.0157133\pi\) |
−0.955425 | + | 0.295235i | \(0.904602\pi\) | |||||||
\(252\) | 887.385 | + | 1243.42i | 0.221825 | + | 0.310825i | ||||
\(253\) | 576.620 | − | 3270.18i | 0.143288 | − | 0.812625i | ||||
\(254\) | −2790.87 | + | 661.449i | −0.689429 | + | 0.163398i | ||||
\(255\) | −3166.93 | + | 8436.10i | −0.777728 | + | 2.07172i | ||||
\(256\) | −213.885 | − | 140.674i | −0.0522180 | − | 0.0343443i | ||||
\(257\) | −332.280 | + | 5705.02i | −0.0806499 | + | 1.38471i | 0.678888 | + | 0.734242i | \(0.262462\pi\) |
−0.759538 | + | 0.650463i | \(0.774575\pi\) | |||||||
\(258\) | −1599.94 | + | 1868.25i | −0.386077 | + | 0.450822i | ||||
\(259\) | −110.346 | + | 368.580i | −0.0264732 | + | 0.0884265i | ||||
\(260\) | −4835.88 | + | 1760.12i | −1.15349 | + | 0.419838i | ||||
\(261\) | −2519.01 | − | 974.655i | −0.597405 | − | 0.231148i | ||||
\(262\) | 1431.91 | + | 521.173i | 0.337648 | + | 0.122894i | ||||
\(263\) | 2325.72 | − | 3123.99i | 0.545286 | − | 0.732447i | −0.440997 | − | 0.897509i | \(-0.645375\pi\) |
0.986283 | + | 0.165062i | \(0.0527824\pi\) | |||||||
\(264\) | −1336.80 | + | 1988.65i | −0.311645 | + | 0.463610i | ||||
\(265\) | 7547.76 | + | 1788.85i | 1.74964 | + | 0.414673i | ||||
\(266\) | 1520.35 | − | 3524.57i | 0.350446 | − | 0.812426i | ||||
\(267\) | 1210.53 | − | 1119.28i | 0.277466 | − | 0.256551i | ||||
\(268\) | −99.3870 | + | 65.3679i | −0.0226531 | + | 0.0148992i | ||||
\(269\) | −2266.24 | − | 3925.24i | −0.513662 | − | 0.889689i | −0.999874 | − | 0.0158482i | \(-0.994955\pi\) |
0.486212 | − | 0.873841i | \(-0.338378\pi\) | |||||||
\(270\) | −165.482 | + | 5483.12i | −0.0372996 | + | 1.23590i | ||||
\(271\) | 1030.10 | − | 1784.18i | 0.230901 | − | 0.399931i | −0.727173 | − | 0.686454i | \(-0.759166\pi\) |
0.958073 | + | 0.286523i | \(0.0924995\pi\) | |||||||
\(272\) | −82.5221 | − | 1416.85i | −0.0183957 | − | 0.315842i | ||||
\(273\) | −4460.14 | + | 1870.94i | −0.988790 | + | 0.414778i | ||||
\(274\) | 2041.87 | − | 238.660i | 0.450196 | − | 0.0526203i | ||||
\(275\) | 10174.5 | − | 10784.3i | 2.23107 | − | 2.36480i | ||||
\(276\) | 862.592 | + | 830.368i | 0.188123 | + | 0.181095i | ||||
\(277\) | −4160.08 | − | 486.244i | −0.902365 | − | 0.105471i | −0.347759 | − | 0.937584i | \(-0.613057\pi\) |
−0.554607 | + | 0.832113i | \(0.687131\pi\) | |||||||
\(278\) | 92.8627 | − | 77.9210i | 0.0200343 | − | 0.0168108i | ||||
\(279\) | −1103.01 | + | 3431.53i | −0.236685 | + | 0.736344i | ||||
\(280\) | 1694.64 | + | 1421.97i | 0.361693 | + | 0.303496i | ||||
\(281\) | 5660.48 | + | 5999.76i | 1.20169 | + | 1.27372i | 0.952246 | + | 0.305333i | \(0.0987676\pi\) |
0.249448 | + | 0.968388i | \(0.419751\pi\) | |||||||
\(282\) | −40.8796 | + | 4064.64i | −0.00863243 | + | 0.858319i | ||||
\(283\) | −4278.30 | + | 2148.64i | −0.898651 | + | 0.451320i | −0.837267 | − | 0.546795i | \(-0.815848\pi\) |
−0.0613845 | + | 0.998114i | \(0.519552\pi\) | |||||||
\(284\) | 1976.83 | − | 992.803i | 0.413041 | − | 0.207437i | ||||
\(285\) | 12006.1 | − | 6771.67i | 2.49537 | − | 1.40744i | ||||
\(286\) | −5206.41 | − | 5518.47i | −1.07644 | − | 1.14096i | ||||
\(287\) | −918.031 | − | 770.320i | −0.188814 | − | 0.158434i | ||||
\(288\) | −326.188 | − | 800.061i | −0.0667388 | − | 0.163695i | ||||
\(289\) | 2263.85 | − | 1899.60i | 0.460789 | − | 0.386647i | ||||
\(290\) | −3885.02 | − | 454.093i | −0.786676 | − | 0.0919492i | ||||
\(291\) | 284.544 | − | 82.0781i | 0.0573206 | − | 0.0165344i | ||||
\(292\) | −3242.23 | + | 3436.56i | −0.649785 | + | 0.688732i | ||||
\(293\) | 61.3772 | − | 7.17397i | 0.0122379 | − | 0.00143040i | −0.109972 | − | 0.993935i | \(-0.535076\pi\) |
0.122210 | + | 0.992504i | \(0.461002\pi\) | |||||||
\(294\) | −1182.53 | − | 898.985i | −0.234580 | − | 0.178333i | ||||
\(295\) | −53.6262 | − | 920.727i | −0.0105839 | − | 0.181718i | ||||
\(296\) | 108.805 | − | 188.456i | 0.0213654 | − | 0.0370059i | ||||
\(297\) | −7519.02 | + | 2977.70i | −1.46902 | + | 0.581763i | ||||
\(298\) | 1210.32 | + | 2096.33i | 0.235275 | + | 0.407508i | ||||
\(299\) | −3167.30 | + | 2083.16i | −0.612607 | + | 0.402918i | ||||
\(300\) | 1180.49 | + | 5213.99i | 0.227185 | + | 1.00343i | ||||
\(301\) | −1325.98 | + | 3073.97i | −0.253915 | + | 0.588641i | ||||
\(302\) | 6654.00 | + | 1577.03i | 1.26786 | + | 0.300489i | ||||
\(303\) | −2017.62 | − | 137.886i | −0.382540 | − | 0.0261430i | ||||
\(304\) | −1296.46 | + | 1741.44i | −0.244595 | + | 0.328548i | ||||
\(305\) | 16193.0 | + | 5893.77i | 3.04003 | + | 1.10648i | ||||
\(306\) | 2477.93 | − | 4099.23i | 0.462922 | − | 0.765808i | ||||
\(307\) | −1711.59 | + | 622.968i | −0.318194 | + | 0.115813i | −0.496180 | − | 0.868220i | \(-0.665264\pi\) |
0.177985 | + | 0.984033i | \(0.443042\pi\) | |||||||
\(308\) | −935.359 | + | 3124.32i | −0.173042 | + | 0.578002i | ||||
\(309\) | −26.4629 | − | 75.0461i | −0.00487191 | − | 0.0138162i | ||||
\(310\) | −303.504 | + | 5210.97i | −0.0556061 | + | 0.954720i | ||||
\(311\) | −5803.20 | − | 3816.83i | −1.05810 | − | 0.695924i | −0.103748 | − | 0.994604i | \(-0.533084\pi\) |
−0.954354 | + | 0.298679i | \(0.903454\pi\) | |||||||
\(312\) | 2698.68 | − | 447.914i | 0.489687 | − | 0.0812760i | ||||
\(313\) | −2502.02 | + | 592.991i | −0.451830 | + | 0.107086i | −0.450229 | − | 0.892913i | \(-0.648658\pi\) |
−0.00160085 | + | 0.999999i | \(0.500510\pi\) | |||||||
\(314\) | 110.890 | − | 628.887i | 0.0199295 | − | 0.113026i | ||||
\(315\) | 1997.03 | + | 7194.11i | 0.357205 | + | 1.28680i | ||||
\(316\) | 31.5552 | + | 178.958i | 0.00561746 | + | 0.0318582i | ||||
\(317\) | 1901.99 | + | 4409.30i | 0.336991 | + | 0.781234i | 0.999483 | + | 0.0321641i | \(0.0102399\pi\) |
−0.662491 | + | 0.749070i | \(0.730501\pi\) | |||||||
\(318\) | −3769.49 | − | 1671.16i | −0.664724 | − | 0.294698i | ||||
\(319\) | −1653.85 | − | 5524.23i | −0.290275 | − | 0.969584i | ||||
\(320\) | −747.170 | − | 1003.62i | −0.130525 | − | 0.175326i | ||||
\(321\) | 3202.90 | − | 6220.71i | 0.556911 | − | 1.08164i | ||||
\(322\) | 1456.27 | + | 731.364i | 0.252033 | + | 0.126576i | ||||
\(323\) | −12036.1 | −2.07340 | ||||||||
\(324\) | 621.440 | − | 2849.01i | 0.106557 | − | 0.488514i | ||||
\(325\) | −16926.4 | −2.88894 | ||||||||
\(326\) | −5549.42 | − | 2787.02i | −0.942804 | − | 0.473494i | ||||
\(327\) | 7853.45 | − | 378.205i | 1.32812 | − | 0.0639595i | ||||
\(328\) | 404.762 | + | 543.690i | 0.0681380 | + | 0.0915252i | ||||
\(329\) | 1586.72 | + | 5300.01i | 0.265892 | + | 0.888142i | ||||
\(330\) | −9463.93 | + | 6898.80i | −1.57870 | + | 1.15081i | ||||
\(331\) | 1769.58 | + | 4102.35i | 0.293852 | + | 0.681225i | 0.999630 | − | 0.0272083i | \(-0.00866173\pi\) |
−0.705778 | + | 0.708433i | \(0.749402\pi\) | |||||||
\(332\) | 406.629 | + | 2306.11i | 0.0672189 | + | 0.381217i | ||||
\(333\) | 662.810 | − | 316.346i | 0.109074 | − | 0.0520590i | ||||
\(334\) | 151.820 | − | 861.014i | 0.0248719 | − | 0.141056i | ||||
\(335\) | −565.734 | + | 134.081i | −0.0922667 | + | 0.0218676i | ||||
\(336\) | −746.782 | − | 908.378i | −0.121251 | − | 0.147488i | ||||
\(337\) | −2078.31 | − | 1366.92i | −0.335942 | − | 0.220953i | 0.370318 | − | 0.928905i | \(-0.379249\pi\) |
−0.706260 | + | 0.707952i | \(0.749619\pi\) | |||||||
\(338\) | −248.129 | + | 4260.21i | −0.0399303 | + | 0.685577i | ||||
\(339\) | −3201.26 | − | 597.724i | −0.512886 | − | 0.0957637i | ||||
\(340\) | 1989.45 | − | 6645.22i | 0.317332 | − | 1.05996i | ||||
\(341\) | −7231.21 | + | 2631.95i | −1.14836 | + | 0.417970i | ||||
\(342\) | −6934.39 | + | 2367.08i | −1.09640 | + | 0.374261i | ||||
\(343\) | −6458.76 | − | 2350.80i | −1.01674 | − | 0.370061i | ||||
\(344\) | 1130.71 | − | 1518.81i | 0.177220 | − | 0.238048i | ||||
\(345\) | 2573.62 | + | 5255.64i | 0.401621 | + | 0.820156i | ||||
\(346\) | −3704.09 | − | 877.885i | −0.575529 | − | 0.136403i | ||||
\(347\) | 1299.12 | − | 3011.71i | 0.200982 | − | 0.465928i | −0.787681 | − | 0.616084i | \(-0.788718\pi\) |
0.988662 | + | 0.150156i | \(0.0479776\pi\) | |||||||
\(348\) | 1985.78 | + | 616.331i | 0.305888 | + | 0.0949390i | ||||
\(349\) | 4555.84 | − | 2996.43i | 0.698764 | − | 0.459584i | −0.149773 | − | 0.988720i | \(-0.547854\pi\) |
0.848537 | + | 0.529136i | \(0.177484\pi\) | |||||||
\(350\) | 3638.04 | + | 6301.26i | 0.555604 | + | 0.962334i | ||||
\(351\) | 8363.38 | + | 3910.93i | 1.27181 | + | 0.594730i | ||||
\(352\) | 922.298 | − | 1597.47i | 0.139655 | − | 0.241890i | ||||
\(353\) | −537.975 | − | 9236.67i | −0.0811148 | − | 1.39269i | −0.755907 | − | 0.654679i | \(-0.772804\pi\) |
0.674792 | − | 0.738008i | \(-0.264233\pi\) | |||||||
\(354\) | −61.8102 | + | 486.350i | −0.00928016 | + | 0.0730204i | ||||
\(355\) | 10738.8 | − | 1255.18i | 1.60551 | − | 0.187657i | ||||
\(356\) | −870.953 | + | 923.156i | −0.129664 | + | 0.137436i | ||||
\(357\) | 1567.19 | − | 6328.18i | 0.232337 | − | 0.938159i | ||||
\(358\) | 4697.20 | + | 549.024i | 0.693449 | + | 0.0810526i | ||||
\(359\) | 3777.09 | − | 3169.35i | 0.555284 | − | 0.465939i | −0.321442 | − | 0.946929i | \(-0.604167\pi\) |
0.876726 | + | 0.480991i | \(0.159723\pi\) | |||||||
\(360\) | −160.697 | − | 4219.77i | −0.0235263 | − | 0.617782i | ||||
\(361\) | 8849.96 | + | 7426.00i | 1.29027 | + | 1.08267i | ||||
\(362\) | 5876.52 | + | 6228.75i | 0.853213 | + | 0.904353i | ||||
\(363\) | −8910.54 | − | 5264.69i | −1.28838 | − | 0.761224i | ||||
\(364\) | 3327.23 | − | 1671.00i | 0.479104 | − | 0.240615i | ||||
\(365\) | −20635.5 | + | 10363.6i | −2.95921 | + | 1.48617i | ||||
\(366\) | −7886.48 | − | 4659.64i | −1.12632 | − | 0.665473i | ||||
\(367\) | 2916.06 | + | 3090.84i | 0.414760 | + | 0.439620i | 0.900746 | − | 0.434347i | \(-0.143021\pi\) |
−0.485986 | + | 0.873967i | \(0.661539\pi\) | |||||||
\(368\) | −706.061 | − | 592.456i | −0.100016 | − | 0.0839236i | ||||
\(369\) | 87.0540 | + | 2285.96i | 0.0122814 | + | 0.322500i | ||||
\(370\) | 814.745 | − | 683.652i | 0.114477 | − | 0.0960578i | ||||
\(371\) | −5574.07 | − | 651.515i | −0.780030 | − | 0.0911725i | ||||
\(372\) | 667.010 | − | 2693.34i | 0.0929647 | − | 0.375384i | ||||
\(373\) | 7368.82 | − | 7810.49i | 1.02290 | − | 1.08421i | 0.0264855 | − | 0.999649i | \(-0.491568\pi\) |
0.996418 | − | 0.0845651i | \(-0.0269501\pi\) | |||||||
\(374\) | 10157.2 | − | 1187.21i | 1.40432 | − | 0.164142i | ||||
\(375\) | −1693.25 | + | 13323.2i | −0.233170 | + | 1.83469i | ||||
\(376\) | −181.942 | − | 3123.83i | −0.0249547 | − | 0.428455i | ||||
\(377\) | −3291.62 | + | 5701.25i | −0.449674 | + | 0.778858i | ||||
\(378\) | −341.624 | − | 3954.07i | −0.0464848 | − | 0.538030i | ||||
\(379\) | 101.747 | + | 176.231i | 0.0137900 | + | 0.0238849i | 0.872838 | − | 0.488010i | \(-0.162277\pi\) |
−0.859048 | + | 0.511895i | \(0.828944\pi\) | |||||||
\(380\) | −8865.39 | + | 5830.86i | −1.19680 | + | 0.787150i | ||||
\(381\) | 7116.86 | + | 2208.87i | 0.956975 | + | 0.297019i | ||||
\(382\) | −1880.50 | + | 4359.48i | −0.251870 | + | 0.583901i | ||||
\(383\) | 13645.7 | + | 3234.08i | 1.82052 | + | 0.431472i | 0.991758 | − | 0.128124i | \(-0.0408955\pi\) |
0.828766 | + | 0.559596i | \(0.189044\pi\) | |||||||
\(384\) | 292.507 | + | 597.334i | 0.0388723 | + | 0.0793817i | ||||
\(385\) | −9518.61 | + | 12785.7i | −1.26004 | + | 1.69252i | ||||
\(386\) | 4996.53 | + | 1818.59i | 0.658851 | + | 0.239802i | ||||
\(387\) | 6047.86 | − | 2064.46i | 0.794393 | − | 0.271169i | ||||
\(388\) | −214.225 | + | 77.9714i | −0.0280299 | + | 0.0102021i | ||||
\(389\) | −1159.78 | + | 3873.94i | −0.151165 | + | 0.504927i | −0.999707 | − | 0.0242013i | \(-0.992296\pi\) |
0.848542 | + | 0.529128i | \(0.177481\pi\) | |||||||
\(390\) | 13143.2 | + | 2454.03i | 1.70649 | + | 0.318628i | ||||
\(391\) | 297.111 | − | 5101.20i | 0.0384285 | − | 0.659792i | ||||
\(392\) | 955.378 | + | 628.362i | 0.123097 | + | 0.0809619i | ||||
\(393\) | −2514.15 | − | 3058.18i | −0.322702 | − | 0.392532i | ||||
\(394\) | −844.155 | + | 200.069i | −0.107939 | + | 0.0255820i | ||||
\(395\) | −154.227 | + | 874.664i | −0.0196456 | + | 0.111416i | ||||
\(396\) | 5618.39 | − | 2681.54i | 0.712966 | − | 0.340285i | ||||
\(397\) | −2203.56 | − | 12497.0i | −0.278573 | − | 1.57987i | −0.727378 | − | 0.686237i | \(-0.759261\pi\) |
0.448805 | − | 0.893630i | \(-0.351850\pi\) | |||||||
\(398\) | 212.250 | + | 492.050i | 0.0267315 | + | 0.0619705i | ||||
\(399\) | −8058.83 | + | 5874.54i | −1.01114 | + | 0.737080i | ||||
\(400\) | −1180.29 | − | 3942.44i | −0.147536 | − | 0.492804i | ||||
\(401\) | −192.053 | − | 257.972i | −0.0239169 | − | 0.0321259i | 0.790004 | − | 0.613102i | \(-0.210078\pi\) |
−0.813921 | + | 0.580976i | \(0.802671\pi\) | |||||||
\(402\) | 308.701 | − | 14.8664i | 0.0383001 | − | 0.00184445i | ||||
\(403\) | 7850.78 | + | 3942.81i | 0.970410 | + | 0.487358i | ||||
\(404\) | 1556.79 | 0.191716 | ||||||||
\(405\) | 7616.64 | − | 12046.1i | 0.934504 | − | 1.47796i | ||||
\(406\) | 2829.91 | 0.345927 | ||||||||
\(407\) | 1401.19 | + | 703.706i | 0.170650 | + | 0.0857037i | ||||
\(408\) | −1687.92 | + | 3278.30i | −0.204815 | + | 0.397794i | ||||
\(409\) | −2267.24 | − | 3045.43i | −0.274102 | − | 0.368183i | 0.643661 | − | 0.765311i | \(-0.277415\pi\) |
−0.917764 | + | 0.397127i | \(0.870007\pi\) | |||||||
\(410\) | 950.132 | + | 3173.66i | 0.114448 | + | 0.382283i | ||||
\(411\) | −4882.70 | − | 2164.69i | −0.586000 | − | 0.259796i | ||||
\(412\) | 24.2626 | + | 56.2471i | 0.00290130 | + | 0.00672596i | ||||
\(413\) | 115.870 | + | 657.130i | 0.0138053 | + | 0.0782936i | ||||
\(414\) | −832.050 | − | 2997.39i | −0.0987754 | − | 0.355830i | ||||
\(415\) | −1987.41 | + | 11271.2i | −0.235080 | + | 1.33321i | ||||
\(416\) | −2049.10 | + | 485.645i | −0.241503 | + | 0.0572373i | ||||
\(417\) | −310.698 | + | 51.5681i | −0.0364866 | + | 0.00605588i | ||||
\(418\) | −13069.8 | − | 8596.15i | −1.52934 | − | 1.00586i | ||||
\(419\) | −85.3117 | + | 1464.74i | −0.00994689 | + | 0.170782i | 0.989676 | + | 0.143323i | \(0.0457786\pi\) |
−0.999623 | + | 0.0274590i | \(0.991258\pi\) | |||||||
\(420\) | −1911.33 | − | 5420.33i | −0.222055 | − | 0.629726i | ||||
\(421\) | 1774.65 | − | 5927.75i | 0.205443 | − | 0.686226i | −0.791716 | − | 0.610890i | \(-0.790812\pi\) |
0.997158 | − | 0.0753360i | \(-0.0240029\pi\) | |||||||
\(422\) | −10643.3 | + | 3873.85i | −1.22775 | + | 0.446863i | ||||
\(423\) | 5463.27 | − | 9037.85i | 0.627975 | − | 1.03885i | ||||
\(424\) | 2982.71 | + | 1085.62i | 0.341635 | + | 0.124345i | ||||
\(425\) | 13624.3 | − | 18300.5i | 1.55500 | − | 2.08872i | ||||
\(426\) | −5733.91 | − | 391.860i | −0.652134 | − | 0.0445673i | ||||
\(427\) | −12131.3 | − | 2875.18i | −1.37488 | − | 0.325854i | ||||
\(428\) | −2133.35 | + | 4945.67i | −0.240933 | + | 0.558546i | ||||
\(429\) | 4352.59 | + | 19224.6i | 0.489849 | + | 2.16357i | ||||
\(430\) | 7732.00 | − | 5085.41i | 0.867139 | − | 0.570327i | ||||
\(431\) | −3537.72 | − | 6127.51i | −0.395373 | − | 0.684807i | 0.597776 | − | 0.801664i | \(-0.296051\pi\) |
−0.993149 | + | 0.116857i | \(0.962718\pi\) | |||||||
\(432\) | −327.738 | + | 2220.68i | −0.0365007 | + | 0.247321i | ||||
\(433\) | 631.789 | − | 1094.29i | 0.0701197 | − | 0.121451i | −0.828834 | − | 0.559495i | \(-0.810995\pi\) |
0.898954 | + | 0.438044i | \(0.144329\pi\) | |||||||
\(434\) | −219.583 | − | 3770.09i | −0.0242864 | − | 0.416982i | ||||
\(435\) | 8089.96 | + | 6150.17i | 0.891687 | + | 0.677880i | ||||
\(436\) | −6011.67 | + | 702.663i | −0.660337 | + | 0.0771823i | ||||
\(437\) | −5364.06 | + | 5685.57i | −0.587180 | + | 0.622375i | ||||
\(438\) | 11794.1 | − | 3402.05i | 1.28663 | − | 0.371133i | ||||
\(439\) | −11643.3 | − | 1360.91i | −1.26584 | − | 0.147956i | −0.543453 | − | 0.839440i | \(-0.682883\pi\) |
−0.722392 | + | 0.691484i | \(0.756957\pi\) | |||||||
\(440\) | 6906.29 | − | 5795.06i | 0.748283 | − | 0.627884i | ||||
\(441\) | 1457.01 | + | 3573.70i | 0.157327 | + | 0.385887i | ||||
\(442\) | −8943.41 | − | 7504.41i | −0.962431 | − | 0.807575i | ||||
\(443\) | −2726.32 | − | 2889.73i | −0.292396 | − | 0.309922i | 0.564477 | − | 0.825449i | \(-0.309078\pi\) |
−0.856874 | + | 0.515527i | \(0.827596\pi\) | |||||||
\(444\) | −492.440 | + | 277.745i | −0.0526355 | + | 0.0296874i | ||||
\(445\) | −5543.27 | + | 2783.94i | −0.590509 | + | 0.296565i | ||||
\(446\) | −757.634 | + | 380.498i | −0.0804373 | + | 0.0403971i | ||||
\(447\) | 63.2475 | − | 6288.68i | 0.00669241 | − | 0.665423i | ||||
\(448\) | 621.213 | + | 658.447i | 0.0655124 | + | 0.0694391i | ||||
\(449\) | −7264.00 | − | 6095.22i | −0.763495 | − | 0.640649i | 0.175539 | − | 0.984473i | \(-0.443833\pi\) |
−0.939034 | + | 0.343824i | \(0.888278\pi\) | |||||||
\(450\) | 4250.28 | − | 13222.9i | 0.445245 | − | 1.38519i | ||||
\(451\) | −3741.32 | + | 3139.34i | −0.390625 | + | 0.327774i | ||||
\(452\) | 2489.97 | + | 291.035i | 0.259111 | + | 0.0302857i | ||||
\(453\) | −12799.6 | − | 12321.4i | −1.32755 | − | 1.27795i | ||||
\(454\) | 4763.70 | − | 5049.23i | 0.492448 | − | 0.521965i | ||||
\(455\) | 18074.5 | − | 2112.61i | 1.86230 | − | 0.217671i | ||||
\(456\) | 5201.43 | − | 2181.90i | 0.534165 | − | 0.224072i | ||||
\(457\) | 164.710 | + | 2827.96i | 0.0168596 | + | 0.289467i | 0.996191 | + | 0.0872032i | \(0.0277929\pi\) |
−0.979331 | + | 0.202264i | \(0.935170\pi\) | |||||||
\(458\) | −2251.51 | + | 3899.74i | −0.229708 | + | 0.397866i | ||||
\(459\) | −10960.2 | + | 5894.41i | −1.11455 | + | 0.599406i | ||||
\(460\) | −2252.41 | − | 3901.30i | −0.228303 | − | 0.395432i | ||||
\(461\) | −11933.7 | + | 7848.91i | −1.20566 | + | 0.792972i | −0.983300 | − | 0.181993i | \(-0.941745\pi\) |
−0.222356 | + | 0.974966i | \(0.571375\pi\) | |||||||
\(462\) | 6221.33 | − | 5752.37i | 0.626499 | − | 0.579274i | ||||
\(463\) | 593.613 | − | 1376.15i | 0.0595844 | − | 0.138132i | −0.885823 | − | 0.464024i | \(-0.846405\pi\) |
0.945407 | + | 0.325892i | \(0.105664\pi\) | |||||||
\(464\) | −1557.44 | − | 369.121i | −0.155824 | − | 0.0369311i | ||||
\(465\) | 7565.70 | − | 11254.9i | 0.754518 | − | 1.12244i | ||||
\(466\) | 6794.37 | − | 9126.42i | 0.675415 | − | 0.907239i | ||||
\(467\) | −6080.97 | − | 2213.29i | −0.602556 | − | 0.219313i | 0.0226867 | − | 0.999743i | \(-0.492778\pi\) |
−0.625243 | + | 0.780430i | \(0.715000\pi\) | |||||||
\(468\) | −6628.42 | − | 2564.67i | −0.654698 | − | 0.253316i | ||||
\(469\) | 395.274 | − | 143.868i | 0.0389170 | − | 0.0141646i | ||||
\(470\) | 4386.28 | − | 14651.2i | 0.430476 | − | 1.43789i | ||||
\(471\) | −1079.18 | + | 1260.16i | −0.105575 | + | 0.123280i | ||||
\(472\) | 21.9441 | − | 376.765i | 0.00213995 | − | 0.0367416i | ||||
\(473\) | 11398.9 | + | 7497.18i | 1.10808 | + | 0.728796i | ||||
\(474\) | 165.928 | − | 442.001i | 0.0160787 | − | 0.0428308i | ||||
\(475\) | −33959.8 | + | 8048.62i | −3.28038 | + | 0.777465i | ||||
\(476\) | −871.470 | + | 4942.35i | −0.0839155 | + | 0.475908i | ||||
\(477\) | 6223.07 | + | 8719.84i | 0.597347 | + | 0.837011i | ||||
\(478\) | 962.409 | + | 5458.10i | 0.0920912 | + | 0.522275i | ||||
\(479\) | 2897.34 | + | 6716.79i | 0.276373 | + | 0.640706i | 0.998707 | − | 0.0508393i | \(-0.0161896\pi\) |
−0.722333 | + | 0.691545i | \(0.756930\pi\) | |||||||
\(480\) | 344.897 | + | 3232.39i | 0.0327965 | + | 0.307370i | ||||
\(481\) | −513.396 | − | 1714.86i | −0.0486670 | − | 0.162559i | ||||
\(482\) | −3591.17 | − | 4823.78i | −0.339364 | − | 0.455844i | ||||
\(483\) | −2290.84 | − | 3560.53i | −0.215811 | − | 0.335424i | ||||
\(484\) | 7119.70 | + | 3575.65i | 0.668642 | + | 0.335804i | ||||
\(485\) | −1114.23 | −0.104318 | ||||||||
\(486\) | −5155.31 | + | 5551.44i | −0.481172 | + | 0.518145i | ||||
\(487\) | 4978.72 | 0.463259 | 0.231630 | − | 0.972804i | \(-0.425594\pi\) | ||||
0.231630 | + | 0.972804i | \(0.425594\pi\) | |||||||
\(488\) | 6301.46 | + | 3164.71i | 0.584536 | + | 0.293565i | ||||
\(489\) | 8729.73 | + | 13568.2i | 0.807305 | + | 1.25475i | ||||
\(490\) | 3337.45 | + | 4482.97i | 0.307695 | + | 0.413306i | ||||
\(491\) | −3144.78 | − | 10504.3i | −0.289047 | − | 0.965484i | −0.971992 | − | 0.235014i | \(-0.924486\pi\) |
0.682945 | − | 0.730470i | \(-0.260699\pi\) | |||||||
\(492\) | −186.840 | − | 1751.07i | −0.0171207 | − | 0.160456i | ||||
\(493\) | −3514.65 | − | 8147.86i | −0.321078 | − | 0.744344i | ||||
\(494\) | 3101.19 | + | 17587.7i | 0.282448 | + | 1.60184i | ||||
\(495\) | 30286.6 | − | 2923.85i | 2.75006 | − | 0.265489i | ||||
\(496\) | −370.906 | + | 2103.51i | −0.0335770 | + | 0.190425i | ||||
\(497\) | −7611.45 | + | 1803.95i | −0.686962 | + | 0.162813i | ||||
\(498\) | 2138.20 | − | 5695.76i | 0.192399 | − | 0.512516i | ||||
\(499\) | 292.394 | + | 192.310i | 0.0262312 | + | 0.0172525i | 0.562557 | − | 0.826759i | \(-0.309818\pi\) |
−0.536326 | + | 0.844011i | \(0.680188\pi\) | |||||||
\(500\) | 601.142 | − | 10321.2i | 0.0537678 | − | 0.923158i | ||||
\(501\) | −1477.51 | + | 1725.29i | −0.131757 | + | 0.153853i | ||||
\(502\) | −569.527 | + | 1902.35i | −0.0506359 | + | 0.169136i | ||||
\(503\) | 4733.36 | − | 1722.80i | 0.419583 | − | 0.152716i | −0.123596 | − | 0.992333i | \(-0.539443\pi\) |
0.543179 | + | 0.839617i | \(0.317220\pi\) | |||||||
\(504\) | 469.905 | + | 3018.83i | 0.0415302 | + | 0.266804i | ||||
\(505\) | 7149.99 | + | 2602.39i | 0.630041 | + | 0.229316i | ||||
\(506\) | 3965.88 | − | 5327.10i | 0.348428 | − | 0.468021i | ||||
\(507\) | 6185.32 | − | 9201.41i | 0.541814 | − | 0.806014i | ||||
\(508\) | −5581.75 | − | 1322.90i | −0.487500 | − | 0.115540i | ||||
\(509\) | −3763.48 | + | 8724.72i | −0.327727 | + | 0.759757i | 0.672087 | + | 0.740472i | \(0.265398\pi\) |
−0.999814 | + | 0.0192849i | \(0.993861\pi\) | |||||||
\(510\) | −13232.4 | + | 12234.9i | −1.14890 | + | 1.06230i | ||||
\(511\) | 13958.2 | − | 9180.47i | 1.20837 | − | 0.794756i | ||||
\(512\) | −256.000 | − | 443.405i | −0.0220971 | − | 0.0382733i | ||||
\(513\) | 18639.3 | + | 3869.75i | 1.60418 | + | 0.333048i | ||||
\(514\) | −5714.69 | + | 9898.13i | −0.490397 | + | 0.849393i | ||||
\(515\) | 17.4083 | + | 298.889i | 0.00148952 | + | 0.0255740i | ||||
\(516\) | −4536.46 | + | 1902.96i | −0.387028 | + | 0.162351i | ||||
\(517\) | 22394.3 | − | 2617.51i | 1.90503 | − | 0.222666i | ||||
\(518\) | −528.054 | + | 559.705i | −0.0447903 | + | 0.0474749i | ||||
\(519\) | 7125.17 | + | 6858.99i | 0.602621 | + | 0.580109i | ||||
\(520\) | −10222.9 | − | 1194.88i | −0.862121 | − | 0.100767i | ||||
\(521\) | 6265.22 | − | 5257.14i | 0.526841 | − | 0.442072i | −0.340168 | − | 0.940365i | \(-0.610484\pi\) |
0.867009 | + | 0.498292i | \(0.166039\pi\) | |||||||
\(522\) | −3627.29 | − | 4003.03i | −0.304142 | − | 0.335647i | ||||
\(523\) | −14534.8 | − | 12196.2i | −1.21523 | − | 1.01970i | −0.999060 | − | 0.0433418i | \(-0.986200\pi\) |
−0.216168 | − | 0.976356i | \(-0.569356\pi\) | |||||||
\(524\) | 2091.40 | + | 2216.76i | 0.174357 | + | 0.184808i | ||||
\(525\) | 190.113 | − | 18902.8i | 0.0158042 | − | 1.57140i | ||||
\(526\) | 6960.77 | − | 3495.83i | 0.577004 | − | 0.289782i | ||||
\(527\) | −10582.1 | + | 5314.53i | −0.874694 | + | 0.439288i | ||||
\(528\) | −4174.23 | + | 2354.34i | −0.344053 | + | 0.194052i | ||||
\(529\) | 6072.23 | + | 6436.19i | 0.499074 | + | 0.528988i | ||||
\(530\) | 11884.2 | + | 9972.01i | 0.973992 | + | 0.817277i | ||||
\(531\) | 781.019 | − | 1006.19i | 0.0638293 | − | 0.0822315i | ||||
\(532\) | 5880.92 | − | 4934.68i | 0.479267 | − | 0.402153i | ||||
\(533\) | 5538.01 | + | 647.300i | 0.450052 | + | 0.0526035i | ||||
\(534\) | 3168.21 | − | 913.884i | 0.256745 | − | 0.0740592i | ||||
\(535\) | −18065.4 | + | 19148.2i | −1.45988 | + | 1.54738i | ||||
\(536\) | −236.305 | + | 27.6201i | −0.0190426 | + | 0.00222576i | ||||
\(537\) | −9781.21 | − | 7435.89i | −0.786016 | − | 0.597546i | ||||
\(538\) | −527.081 | − | 9049.63i | −0.0422380 | − | 0.725199i | ||||
\(539\) | −4119.71 | + | 7135.54i | −0.329218 | + | 0.570222i | ||||
\(540\) | −5217.40 | + | 9651.25i | −0.415780 | + | 0.769118i | ||||
\(541\) | 7124.13 | + | 12339.4i | 0.566156 | + | 0.980611i | 0.996941 | + | 0.0781562i | \(0.0249033\pi\) |
−0.430785 | + | 0.902454i | \(0.641763\pi\) | |||||||
\(542\) | 3442.54 | − | 2264.19i | 0.272822 | − | 0.179438i | ||||
\(543\) | −4912.82 | − | 21699.0i | −0.388267 | − | 1.71491i | ||||
\(544\) | 1124.27 | − | 2606.36i | 0.0886081 | − | 0.205417i | ||||
\(545\) | −28784.9 | − | 6822.14i | −2.26240 | − | 0.536199i | ||||
\(546\) | −9650.80 | − | 659.543i | −0.756440 | − | 0.0516957i | ||||
\(547\) | −4795.57 | + | 6441.57i | −0.374852 | + | 0.503513i | −0.949016 | − | 0.315227i | \(-0.897919\pi\) |
0.574165 | + | 0.818740i | \(0.305327\pi\) | |||||||
\(548\) | 3863.58 | + | 1406.23i | 0.301175 | + | 0.109619i | ||||
\(549\) | 11482.5 | + | 20845.6i | 0.892642 | + | 1.62052i | ||||
\(550\) | 27864.5 | − | 10141.8i | 2.16026 | − | 0.786272i | ||||
\(551\) | −3893.07 | + | 13003.8i | −0.300999 | + | 1.00541i | ||||
\(552\) | 796.344 | + | 2258.35i | 0.0614033 | + | 0.174134i | ||||
\(553\) | 37.3624 | − | 641.487i | 0.00287307 | − | 0.0493288i | ||||
\(554\) | −6998.72 | − | 4603.13i | −0.536728 | − | 0.353011i | ||||
\(555\) | −2725.96 | + | 452.441i | −0.208487 | + | 0.0346037i | ||||
\(556\) | 235.912 | − | 55.9122i | 0.0179944 | − | 0.00426476i | ||||
\(557\) | −606.007 | + | 3436.84i | −0.0460994 | + | 0.261443i | −0.999143 | − | 0.0413903i | \(-0.986821\pi\) |
0.953044 | + | 0.302833i | \(0.0979324\pi\) | |||||||
\(558\) | −5051.50 | + | 5142.99i | −0.383238 | + | 0.390180i | ||||
\(559\) | −2704.72 | − | 15339.2i | −0.204646 | − | 1.16061i | ||||
\(560\) | 1752.41 | + | 4062.54i | 0.132237 | + | 0.306560i | ||||
\(561\) | −24288.8 | − | 10768.2i | −1.82794 | − | 0.810398i | ||||
\(562\) | 4731.41 | + | 15804.0i | 0.355129 | + | 1.18621i | ||||
\(563\) | −11629.1 | − | 15620.6i | −0.870533 | − | 1.16933i | −0.984420 | − | 0.175835i | \(-0.943738\pi\) |
0.113887 | − | 0.993494i | \(-0.463670\pi\) | |||||||
\(564\) | −3721.48 | + | 7227.90i | −0.277841 | + | 0.539627i | ||||
\(565\) | 10949.4 | + | 5498.97i | 0.815297 | + | 0.409458i | ||||
\(566\) | −9575.07 | −0.711078 | ||||||||
\(567\) | −4461.54 | + | 9296.03i | −0.330454 | + | 0.688530i | ||||
\(568\) | 4424.27 | 0.326828 | ||||||||
\(569\) | 8729.55 | + | 4384.14i | 0.643166 | + | 0.323010i | 0.740316 | − | 0.672260i | \(-0.234676\pi\) |
−0.0971491 | + | 0.995270i | \(0.530972\pi\) | |||||||
\(570\) | 27536.4 | − | 1326.09i | 2.02346 | − | 0.0974453i | ||||
\(571\) | −8404.90 | − | 11289.7i | −0.615996 | − | 0.827427i | 0.379201 | − | 0.925314i | \(-0.376199\pi\) |
−0.995197 | + | 0.0978875i | \(0.968791\pi\) | |||||||
\(572\) | −4351.86 | − | 14536.2i | −0.318113 | − | 1.06257i | ||||
\(573\) | 9967.82 | − | 7266.11i | 0.726722 | − | 0.529749i | ||||
\(574\) | −949.328 | − | 2200.79i | −0.0690317 | − | 0.160033i | ||||
\(575\) | −2572.90 | − | 14591.6i | −0.186604 | − | 1.05828i | ||||
\(576\) | 135.150 | − | 1722.71i | 0.00977647 | − | 0.124617i | ||||
\(577\) | −3133.37 | + | 17770.2i | −0.226073 | + | 1.28212i | 0.634551 | + | 0.772881i | \(0.281185\pi\) |
−0.860624 | + | 0.509242i | \(0.829926\pi\) | |||||||
\(578\) | 5751.18 | − | 1363.06i | 0.413872 | − | 0.0980894i | ||||
\(579\) | −8772.90 | − | 10671.3i | −0.629688 | − | 0.765946i | ||||
\(580\) | −6535.96 | − | 4298.77i | −0.467916 | − | 0.307753i | ||||
\(581\) | 481.463 | − | 8266.40i | 0.0343794 | − | 0.590272i | ||||
\(582\) | 582.230 | + | 108.711i | 0.0414677 | + | 0.00774266i | ||||
\(583\) | −6559.50 | + | 21910.3i | −0.465981 | + | 1.55648i | ||||
\(584\) | −8879.38 | + | 3231.83i | −0.629163 | + | 0.228997i | ||||
\(585\) | −26155.7 | − | 22859.3i | −1.84855 | − | 1.61558i | ||||
\(586\) | 116.137 | + | 42.2703i | 0.00818697 | + | 0.00297981i | ||||
\(587\) | 11459.6 | − | 15392.9i | 0.805774 | − | 1.08234i | −0.189173 | − | 0.981944i | \(-0.560581\pi\) |
0.994947 | − | 0.100399i | \(-0.0320118\pi\) | |||||||
\(588\) | −1306.57 | − | 2668.16i | −0.0916359 | − | 0.187131i | ||||
\(589\) | 17626.1 | + | 4177.45i | 1.23305 | + | 0.292239i | ||||
\(590\) | 730.598 | − | 1693.72i | 0.0509801 | − | 0.118185i | ||||
\(591\) | 2152.64 | + | 668.118i | 0.149827 | + | 0.0465021i | ||||
\(592\) | 363.620 | − | 239.157i | 0.0252444 | − | 0.0166035i | ||||
\(593\) | 10014.9 | + | 17346.3i | 0.693528 | + | 1.20123i | 0.970674 | + | 0.240398i | \(0.0772779\pi\) |
−0.277147 | + | 0.960828i | \(0.589389\pi\) | |||||||
\(594\) | −16111.3 | − | 1427.12i | −1.11288 | − | 0.0985785i | ||||
\(595\) | −12264.3 | + | 21242.4i | −0.845019 | + | 1.46362i | ||||
\(596\) | 281.495 | + | 4833.08i | 0.0193464 | + | 0.332166i | ||||
\(597\) | 175.529 | − | 1381.14i | 0.0120334 | − | 0.0946838i | ||||
\(598\) | −7530.64 | + | 880.206i | −0.514968 | + | 0.0601911i | ||||
\(599\) | −6103.89 | + | 6469.74i | −0.416357 | + | 0.441313i | −0.901275 | − | 0.433246i | \(-0.857368\pi\) |
0.484918 | + | 0.874560i | \(0.338849\pi\) | |||||||
\(600\) | −2570.23 | + | 10378.4i | −0.174882 | + | 0.706160i | ||||
\(601\) | −5284.10 | − | 617.623i | −0.358641 | − | 0.0419191i | −0.0651351 | − | 0.997876i | \(-0.520748\pi\) |
−0.293506 | + | 0.955957i | \(0.594822\pi\) | |||||||
\(602\) | −5129.08 | + | 4303.81i | −0.347252 | + | 0.291379i | ||||
\(603\) | −710.157 | − | 374.726i | −0.0479599 | − | 0.0253069i | ||||
\(604\) | 10476.9 | + | 8791.18i | 0.705794 | + | 0.592232i | ||||
\(605\) | 26722.0 | + | 28323.7i | 1.79571 | + | 1.90334i | ||||
\(606\) | −3482.26 | − | 2057.46i | −0.233428 | − | 0.137918i | ||||
\(607\) | −7974.42 | + | 4004.90i | −0.533232 | + | 0.267799i | −0.694975 | − | 0.719034i | \(-0.744585\pi\) |
0.161743 | + | 0.986833i | \(0.448288\pi\) | |||||||
\(608\) | −3880.23 | + | 1948.72i | −0.258822 | + | 0.129985i | ||||
\(609\) | −6330.01 | − | 3740.01i | −0.421190 | − | 0.248855i | ||||
\(610\) | 23651.0 | + | 25068.5i | 1.56983 | + | 1.66393i | ||||
\(611\) | −19718.2 | − | 16545.5i | −1.30558 | − | 1.09551i | ||||
\(612\) | 8108.18 | − | 5102.22i | 0.535546 | − | 0.337002i | ||||
\(613\) | 20129.4 | − | 16890.6i | 1.32630 | − | 1.11290i | 0.341370 | − | 0.939929i | \(-0.389109\pi\) |
0.984928 | − | 0.172967i | \(-0.0553353\pi\) | |||||||
\(614\) | −3618.24 | − | 422.912i | −0.237818 | − | 0.0277969i | ||||
\(615\) | 2069.04 | − | 8354.61i | 0.135661 | − | 0.547789i | ||||
\(616\) | −4476.12 | + | 4744.41i | −0.292773 | + | 0.310321i | ||||
\(617\) | −7712.13 | + | 901.419i | −0.503207 | + | 0.0588164i | −0.363910 | − | 0.931434i | \(-0.618558\pi\) |
−0.139297 | + | 0.990251i | \(0.544484\pi\) | |||||||
\(618\) | 20.0650 | − | 157.880i | 0.00130604 | − | 0.0102765i | ||||
\(619\) | −64.2295 | − | 1102.78i | −0.00417060 | − | 0.0716065i | 0.995581 | − | 0.0939107i | \(-0.0299368\pi\) |
−0.999751 | + | 0.0223042i | \(0.992900\pi\) | |||||||
\(620\) | −5219.80 | + | 9040.96i | −0.338116 | + | 0.585635i | ||||
\(621\) | −2100.20 | + | 7804.26i | −0.135714 | + | 0.504306i | ||||
\(622\) | −6945.89 | − | 12030.6i | −0.447757 | − | 0.775538i | ||||
\(623\) | 3749.57 | − | 2466.13i | 0.241129 | − | 0.158593i | ||||
\(624\) | 5225.30 | + | 1621.79i | 0.335223 | + | 0.104044i | ||||
\(625\) | 7279.87 | − | 16876.6i | 0.465912 | − | 1.08010i | ||||
\(626\) | −5004.05 | − | 1185.98i | −0.319492 | − | 0.0757210i | ||||
\(627\) | 17874.2 | + | 36501.1i | 1.13848 | + | 2.32490i | ||||
\(628\) | 762.678 | − | 1024.45i | 0.0484620 | − | 0.0650958i | ||||
\(629\) | 2267.32 | + | 825.238i | 0.143727 | + | 0.0523122i | ||||
\(630\) | −2888.21 | + | 14650.3i | −0.182649 | + | 0.926480i | ||||
\(631\) | 21471.9 | − | 7815.15i | 1.35465 | − | 0.493053i | 0.440255 | − | 0.897873i | \(-0.354888\pi\) |
0.914396 | + | 0.404820i | \(0.132666\pi\) | |||||||
\(632\) | −104.235 | + | 348.170i | −0.00656053 | + | 0.0219137i | ||||
\(633\) | 28926.9 | + | 5401.10i | 1.81634 | + | 0.339138i | ||||
\(634\) | −558.427 | + | 9587.81i | −0.0349810 | + | 0.600600i | ||||
\(635\) | −23424.3 | − | 15406.4i | −1.46388 | − | 0.962811i | ||||
\(636\) | −5237.04 | − | 6370.29i | −0.326513 | − | 0.397167i | ||||
\(637\) | 9152.88 | − | 2169.27i | 0.569310 | − | 0.134929i | ||||
\(638\) | 2002.68 | − | 11357.8i | 0.124274 | − | 0.704793i | ||||
\(639\) | 12307.9 | + | 8454.46i | 0.761959 | + | 0.523401i | ||||
\(640\) | −434.540 | − | 2464.40i | −0.0268386 | − | 0.152209i | ||||
\(641\) | −3954.14 | − | 9166.73i | −0.243649 | − | 0.564843i | 0.751880 | − | 0.659301i | \(-0.229147\pi\) |
−0.995529 | + | 0.0944579i | \(0.969888\pi\) | |||||||
\(642\) | 11308.1 | − | 8243.13i | 0.695165 | − | 0.506745i | ||||
\(643\) | −173.751 | − | 580.368i | −0.0106564 | − | 0.0355948i | 0.952496 | − | 0.304551i | \(-0.0985065\pi\) |
−0.963152 | + | 0.268956i | \(0.913321\pi\) | |||||||
\(644\) | 1946.26 | + | 2614.28i | 0.119089 | + | 0.159965i | ||||
\(645\) | −24016.0 | + | 1156.56i | −1.46609 | + | 0.0706037i | ||||
\(646\) | −21511.8 | − | 10803.6i | −1.31017 | − | 0.657992i | ||||
\(647\) | 27732.2 | 1.68511 | 0.842553 | − | 0.538613i | \(-0.181052\pi\) | ||||
0.842553 | + | 0.538613i | \(0.181052\pi\) | |||||||
\(648\) | 3667.95 | − | 4534.14i | 0.222362 | − | 0.274873i | ||||
\(649\) | 2719.37 | 0.164475 | ||||||||
\(650\) | −30251.9 | − | 15193.1i | −1.82550 | − | 0.916802i | ||||
\(651\) | −4491.39 | + | 8723.23i | −0.270401 | + | 0.525177i | ||||
\(652\) | −7416.66 | − | 9962.30i | −0.445489 | − | 0.598395i | ||||
\(653\) | 763.867 | + | 2551.49i | 0.0457771 | + | 0.152906i | 0.977822 | − | 0.209435i | \(-0.0671626\pi\) |
−0.932045 | + | 0.362342i | \(0.881977\pi\) | |||||||
\(654\) | 14375.7 | + | 6373.29i | 0.859531 | + | 0.381063i | ||||
\(655\) | 5899.73 | + | 13677.1i | 0.351942 | + | 0.815892i | ||||
\(656\) | 235.402 | + | 1335.03i | 0.0140105 | + | 0.0794577i | ||||
\(657\) | −30877.4 | − | 7977.26i | −1.83355 | − | 0.473702i | ||||
\(658\) | −1921.39 | + | 10896.8i | −0.113835 | + | 0.645592i | ||||
\(659\) | 17087.9 | − | 4049.90i | 1.01009 | − | 0.239395i | 0.307925 | − | 0.951411i | \(-0.400366\pi\) |
0.702164 | + | 0.712015i | \(0.252217\pi\) | |||||||
\(660\) | −23106.9 | + | 3835.17i | −1.36278 | + | 0.226188i | ||||
\(661\) | 4771.99 | + | 3138.59i | 0.280800 | + | 0.184685i | 0.682095 | − | 0.731264i | \(-0.261069\pi\) |
−0.401294 | + | 0.915949i | \(0.631440\pi\) | |||||||
\(662\) | −519.551 | + | 8920.35i | −0.0305029 | + | 0.523715i | ||||
\(663\) | 10087.0 | + | 28605.6i | 0.590868 | + | 1.67564i | ||||
\(664\) | −1343.21 | + | 4486.62i | −0.0785037 | + | 0.262221i | ||||
\(665\) | 35258.8 | − | 12833.1i | 2.05605 | − | 0.748342i | ||||
\(666\) | 1468.57 | + | 29.5428i | 0.0854442 | + | 0.00171886i | ||||
\(667\) | −5415.19 | − | 1970.97i | −0.314359 | − | 0.114417i | ||||
\(668\) | 1044.19 | − | 1402.59i | 0.0604803 | − | 0.0812391i | ||||
\(669\) | 2197.56 | + | 150.183i | 0.126999 | + | 0.00867923i | ||||
\(670\) | −1131.47 | − | 268.163i | −0.0652424 | − | 0.0154627i | ||||
\(671\) | −20124.5 | + | 46653.9i | −1.15782 | + | 2.68413i | ||||
\(672\) | −519.338 | − | 2293.82i | −0.0298124 | − | 0.131676i | ||||
\(673\) | 676.348 | − | 444.841i | 0.0387389 | − | 0.0254790i | −0.529992 | − | 0.848003i | \(-0.677805\pi\) |
0.568731 | + | 0.822524i | \(0.307435\pi\) | |||||||
\(674\) | −2487.54 | − | 4308.54i | −0.142161 | − | 0.246230i | ||||
\(675\) | −26982.5 | + | 23960.1i | −1.53860 | + | 1.36626i | ||||
\(676\) | −4267.43 | + | 7391.41i | −0.242799 | + | 0.420540i | ||||
\(677\) | −1511.51 | − | 25951.6i | −0.0858080 | − | 1.47327i | −0.716693 | − | 0.697389i | \(-0.754345\pi\) |
0.630885 | − | 0.775877i | \(-0.282692\pi\) | |||||||
\(678\) | −5184.98 | − | 3941.73i | −0.293699 | − | 0.223276i | ||||
\(679\) | 800.683 | − | 93.5864i | 0.0452539 | − | 0.00528942i | ||||
\(680\) | 9520.41 | − | 10091.0i | 0.536899 | − | 0.569080i | ||||
\(681\) | −17328.6 | + | 4998.52i | −0.975087 | + | 0.281268i | ||||
\(682\) | −15286.5 | − | 1786.74i | −0.858286 | − | 0.100319i | ||||
\(683\) | 19459.5 | − | 16328.5i | 1.09019 | − | 0.914777i | 0.0934618 | − | 0.995623i | \(-0.470207\pi\) |
0.996727 | + | 0.0808462i | \(0.0257623\pi\) | |||||||
\(684\) | −14518.3 | − | 1993.69i | −0.811579 | − | 0.111448i | ||||
\(685\) | 15393.9 | + | 12917.0i | 0.858641 | + | 0.720485i | ||||
\(686\) | −9433.45 | − | 9998.87i | −0.525030 | − | 0.556499i | ||||
\(687\) | 10190.1 | − | 5747.42i | 0.565906 | − | 0.319181i | ||||
\(688\) | 3384.16 | − | 1699.59i | 0.187529 | − | 0.0941806i | ||||
\(689\) | 23333.2 | − | 11718.4i | 1.29017 | − | 0.647946i | ||||
\(690\) | −117.704 | + | 11703.3i | −0.00649410 | + | 0.645705i | ||||
\(691\) | 4468.16 | + | 4735.98i | 0.245987 | + | 0.260731i | 0.838589 | − | 0.544764i | \(-0.183381\pi\) |
−0.592602 | + | 0.805495i | \(0.701899\pi\) | |||||||
\(692\) | −5832.20 | − | 4893.80i | −0.320386 | − | 0.268836i | ||||
\(693\) | −21518.3 | + | 4644.92i | −1.17953 | + | 0.254611i | ||||
\(694\) | 5025.18 | − | 4216.63i | 0.274861 | − | 0.230635i | ||||
\(695\) | 1176.96 | + | 137.566i | 0.0642367 | + | 0.00750819i | ||||
\(696\) | 2995.90 | + | 2883.98i | 0.163160 | + | 0.157064i | ||||
\(697\) | −5157.47 | + | 5466.60i | −0.280277 | + | 0.297076i | ||||
\(698\) | 10832.1 | − | 1266.09i | 0.587393 | − | 0.0686564i | ||||
\(699\) | −27259.3 | + | 11434.7i | −1.47502 | + | 0.618744i | ||||
\(700\) | 846.132 | + | 14527.5i | 0.0456868 | + | 0.784413i | ||||
\(701\) | −5250.27 | + | 9093.73i | −0.282881 | + | 0.489965i | −0.972093 | − | 0.234595i | \(-0.924624\pi\) |
0.689212 | + | 0.724560i | \(0.257957\pi\) | |||||||
\(702\) | 11437.1 | + | 14496.8i | 0.614910 | + | 0.779413i | ||||
\(703\) | −1845.47 | − | 3196.44i | −0.0990087 | − | 0.171488i | ||||
\(704\) | 3082.27 | − | 2027.24i | 0.165011 | − | 0.108529i | ||||
\(705\) | −29174.3 | + | 26975.2i | −1.55854 | + | 1.44106i | ||||
\(706\) | 7329.32 | − | 16991.3i | 0.390712 | − | 0.905772i | ||||
\(707\) | −5356.56 | − | 1269.53i | −0.284943 | − | 0.0675326i | ||||
\(708\) | −547.018 | + | 813.756i | −0.0290370 | + | 0.0431961i | ||||
\(709\) | 7311.83 | − | 9821.49i | 0.387308 | − | 0.520245i | −0.565120 | − | 0.825009i | \(-0.691170\pi\) |
0.952428 | + | 0.304764i | \(0.0985775\pi\) | |||||||
\(710\) | 20319.7 | + | 7395.76i | 1.07406 | + | 0.390926i | ||||
\(711\) | −955.300 | + | 769.387i | −0.0503890 | + | 0.0405827i | ||||
\(712\) | −2385.25 | + | 868.159i | −0.125549 | + | 0.0456961i | ||||
\(713\) | −2205.60 | + | 7367.21i | −0.115849 | + | 0.386963i | ||||
\(714\) | 8481.14 | − | 9903.43i | 0.444536 | − | 0.519085i | ||||
\(715\) | 4312.13 | − | 74036.4i | 0.225545 | − | 3.87245i | ||||
\(716\) | 7902.34 | + | 5197.45i | 0.412464 | + | 0.271282i | ||||
\(717\) | 5060.68 | − | 13480.7i | 0.263591 | − | 0.702157i | ||||
\(718\) | 9595.46 | − | 2274.17i | 0.498746 | − | 0.118205i | ||||
\(719\) | 1879.53 | − | 10659.3i | 0.0974889 | − | 0.552887i | −0.896467 | − | 0.443110i | \(-0.853875\pi\) |
0.993956 | − | 0.109777i | \(-0.0350137\pi\) | |||||||
\(720\) | 3500.45 | − | 7686.09i | 0.181186 | − | 0.397838i | ||||
\(721\) | −37.6139 | − | 213.319i | −0.00194288 | − | 0.0110186i | ||||
\(722\) | 9151.66 | + | 21215.9i | 0.471731 | + | 1.09360i | ||||
\(723\) | 1657.70 | + | 15536.0i | 0.0852704 | + | 0.799157i | ||||
\(724\) | 4911.99 | + | 16407.2i | 0.252144 | + | 0.842221i | ||||
\(725\) | −15365.0 | − | 20638.8i | −0.787093 | − | 1.05725i | ||||
\(726\) | −11199.9 | − | 17407.5i | −0.572545 | − | 0.889879i | ||||
\(727\) | −21374.2 | − | 10734.5i | −1.09041 | − | 0.547622i | −0.189608 | − | 0.981860i | \(-0.560722\pi\) |
−0.900798 | + | 0.434237i | \(0.857018\pi\) | |||||||
\(728\) | 7446.52 | 0.379102 | ||||||||
\(729\) | 18868.3 | − | 5604.32i | 0.958608 | − | 0.284729i | ||||
\(730\) | −46183.5 | −2.34154 | ||||||||
\(731\) | 18761.6 | + | 9422.43i | 0.949279 | + | 0.476746i | ||||
\(732\) | −9912.75 | − | 15406.9i | −0.500527 | − | 0.777944i | ||||
\(733\) | 8495.65 | + | 11411.6i | 0.428095 | + | 0.575032i | 0.962871 | − | 0.269962i | \(-0.0870112\pi\) |
−0.534775 | + | 0.844994i | \(0.679604\pi\) | |||||||
\(734\) | 2437.43 | + | 8141.59i | 0.122571 | + | 0.409417i | ||||
\(735\) | −1540.58 | − | 14438.4i | −0.0773132 | − | 0.724582i | ||||
\(736\) | −730.132 | − | 1692.64i | −0.0365666 | − | 0.0847709i | ||||
\(737\) | −297.681 | − | 1688.23i | −0.0148782 | − | 0.0843783i | ||||
\(738\) | −1896.29 | + | 4163.76i | −0.0945845 | + | 0.207683i | ||||
\(739\) | 253.677 | − | 1438.67i | 0.0126274 | − | 0.0716136i | −0.977843 | − | 0.209340i | \(-0.932868\pi\) |
0.990470 | + | 0.137727i | \(0.0439795\pi\) | |||||||
\(740\) | 2069.81 | − | 490.554i | 0.102821 | − | 0.0243691i | ||||
\(741\) | 16307.1 | − | 43439.1i | 0.808444 | − | 2.15354i | ||||
\(742\) | −9377.54 | − | 6167.71i | −0.463963 | − | 0.305153i | ||||
\(743\) | −244.524 | + | 4198.32i | −0.0120737 | + | 0.207297i | 0.986876 | + | 0.161479i | \(0.0516264\pi\) |
−0.998950 | + | 0.0458177i | \(0.985411\pi\) | |||||||
\(744\) | 3609.66 | − | 4215.00i | 0.177872 | − | 0.207701i | ||||
\(745\) | −6786.30 | + | 22667.8i | −0.333733 | + | 1.11474i | ||||
\(746\) | 20180.7 | − | 7345.18i | 0.990440 | − | 0.360491i | ||||
\(747\) | −12310.3 | + | 9914.55i | −0.602958 | + | 0.485615i | ||||
\(748\) | 19219.2 | + | 6995.23i | 0.939472 | + | 0.341940i | ||||
\(749\) | 11373.5 | − | 15277.2i | 0.554843 | − | 0.745283i | ||||
\(750\) | −14985.2 | + | 22292.3i | −0.729575 | + | 1.08533i | ||||
\(751\) | −25160.0 | − | 5963.03i | −1.22250 | − | 0.289739i | −0.431818 | − | 0.901961i | \(-0.642128\pi\) |
−0.790686 | + | 0.612222i | \(0.790276\pi\) | |||||||
\(752\) | 2478.76 | − | 5746.42i | 0.120201 | − | 0.278657i | ||||
\(753\) | 3788.08 | − | 3502.53i | 0.183327 | − | 0.169508i | ||||
\(754\) | −11000.4 | + | 7235.10i | −0.531316 | + | 0.349452i | ||||
\(755\) | 33422.5 | + | 57889.5i | 1.61109 | + | 2.79048i | ||||
\(756\) | 2938.59 | − | 7373.61i | 0.141370 | − | 0.354730i | ||||
\(757\) | 14055.9 | − | 24345.5i | 0.674862 | − | 1.16890i | −0.301647 | − | 0.953420i | \(-0.597537\pi\) |
0.976509 | − | 0.215475i | \(-0.0691301\pi\) | |||||||
\(758\) | 23.6643 | + | 406.300i | 0.00113394 | + | 0.0194690i | ||||
\(759\) | −15911.3 | + | 6674.47i | −0.760925 | + | 0.319193i | ||||
\(760\) | −21078.6 | + | 2463.73i | −1.00605 | + | 0.117591i | ||||
\(761\) | 17146.5 | − | 18174.2i | 0.816766 | − | 0.865721i | −0.176172 | − | 0.984359i | \(-0.556371\pi\) |
0.992938 | + | 0.118638i | \(0.0378529\pi\) | |||||||
\(762\) | 10737.0 | + | 10335.9i | 0.510448 | + | 0.491379i | ||||
\(763\) | 21257.8 | + | 2484.68i | 1.00863 | + | 0.117892i | ||||
\(764\) | −7274.01 | + | 6103.62i | −0.344456 | + | 0.289033i | ||||
\(765\) | 45768.1 | − | 9879.44i | 2.16307 | − | 0.466917i | ||||
\(766\) | 21485.5 | + | 18028.5i | 1.01345 | + | 0.850386i | ||||
\(767\) | −2130.46 | − | 2258.16i | −0.100295 | − | 0.106307i | ||||
\(768\) | −13.3778 | + | 1330.15i | −0.000628554 | + | 0.0624968i | ||||
\(769\) | −35410.3 | + | 17783.7i | −1.66051 | + | 0.833937i | −0.664247 | + | 0.747513i | \(0.731248\pi\) |
−0.996258 | + | 0.0864237i | \(0.972456\pi\) | |||||||
\(770\) | −28488.7 | + | 14307.6i | −1.33333 | + | 0.669622i | ||||
\(771\) | 25864.1 | − | 14587.8i | 1.20814 | − | 0.681410i | ||||
\(772\) | 7297.76 | + | 7735.17i | 0.340223 | + | 0.360615i | ||||
\(773\) | −27917.4 | − | 23425.5i | −1.29899 | − | 1.08998i | −0.990319 | − | 0.138811i | \(-0.955672\pi\) |
−0.308669 | − | 0.951169i | \(-0.599884\pi\) | |||||||
\(774\) | 12662.2 | + | 1738.81i | 0.588027 | + | 0.0807496i | ||||
\(775\) | −26303.4 | + | 22071.2i | −1.21916 | + | 1.02299i | ||||
\(776\) | −452.863 | − | 52.9321i | −0.0209495 | − | 0.00244865i | ||||
\(777\) | 1920.87 | − | 554.083i | 0.0886883 | − | 0.0255825i | ||||
\(778\) | −5550.08 | + | 5882.74i | −0.255758 | + | 0.271088i | ||||
\(779\) | 11418.8 | − | 1334.67i | 0.525189 | − | 0.0613858i | ||||
\(780\) | 21287.6 | + | 16183.3i | 0.977203 | + | 0.742891i | ||||
\(781\) | 1853.59 | + | 31824.9i | 0.0849253 | + | 1.45811i | ||||
\(782\) | 5109.84 | − | 8850.51i | 0.233667 | − | 0.404723i | ||||
\(783\) | 2823.20 | + | 13747.9i | 0.128854 | + | 0.627471i | ||||
\(784\) | 1143.50 | + | 1980.59i | 0.0520908 | + | 0.0902239i | ||||
\(785\) | 5215.32 | − | 3430.17i | 0.237125 | − | 0.155959i | ||||
\(786\) | −1748.43 | − | 7722.48i | −0.0793439 | − | 0.350448i | ||||
\(787\) | 8173.43 | − | 18948.1i | 0.370205 | − | 0.858232i | −0.626673 | − | 0.779282i | \(-0.715584\pi\) |
0.996879 | − | 0.0789499i | \(-0.0251567\pi\) | |||||||
\(788\) | −1688.31 | − | 400.137i | −0.0763243 | − | 0.0180892i | ||||
\(789\) | −20190.1 | − | 1379.81i | −0.911010 | − | 0.0622591i | ||||
\(790\) | −1060.74 | + | 1424.82i | −0.0477715 | + | 0.0641683i | ||||
\(791\) | −8330.07 | − | 3031.90i | −0.374442 | − | 0.136286i | ||||
\(792\) | 12448.5 | + | 250.424i | 0.558508 | + | 0.0112354i | ||||
\(793\) | 54507.7 | − | 19839.2i | 2.44089 | − | 0.888410i | ||||
\(794\) | 7278.95 | − | 24313.4i | 0.325341 | − | 1.08671i | ||||
\(795\) | −13403.8 | − | 38011.8i | −0.597966 | − | 1.69577i | ||||
\(796\) | −62.3169 | + | 1069.94i | −0.00277483 | + | 0.0476420i | ||||
\(797\) | 15852.8 | + | 10426.5i | 0.704560 | + | 0.463397i | 0.850553 | − | 0.525889i | \(-0.176267\pi\) |
−0.145993 | + | 0.989286i | \(0.546638\pi\) | |||||||
\(798\) | −19676.2 | + | 3265.77i | −0.872847 | + | 0.144871i | ||||
\(799\) | 33760.1 | − | 8001.30i | 1.49480 | − | 0.354275i | ||||
\(800\) | 1429.24 | − | 8105.60i | 0.0631639 | − | 0.358220i | ||||
\(801\) | −8294.51 | − | 2142.91i | −0.365883 | − | 0.0945269i | ||||
\(802\) | −111.694 | − | 633.451i | −0.00491779 | − | 0.0278902i | ||||
\(803\) | −26967.5 | − | 62517.7i | −1.18513 | − | 2.74745i | ||||
\(804\) | 565.075 | + | 250.520i | 0.0247869 | + | 0.0109890i | ||||
\(805\) | 4568.62 | + | 15260.3i | 0.200028 | + | 0.668141i | ||||
\(806\) | 10492.4 | + | 14093.7i | 0.458534 | + | 0.615917i | ||||
\(807\) | −10781.0 | + | 20939.0i | −0.470272 | + | 0.913367i | ||||
\(808\) | 2782.40 | + | 1397.37i | 0.121144 | + | 0.0608408i | ||||
\(809\) | −26672.0 | −1.15913 | −0.579566 | − | 0.814925i | \(-0.696778\pi\) | ||||
−0.579566 | + | 0.814925i | \(0.696778\pi\) | |||||||
\(810\) | 24425.5 | − | 14692.8i | 1.05954 | − | 0.637349i | ||||
\(811\) | 30342.5 | 1.31377 | 0.656887 | − | 0.753989i | \(-0.271873\pi\) | ||||
0.656887 | + | 0.753989i | \(0.271873\pi\) | |||||||
\(812\) | 5057.80 | + | 2540.12i | 0.218589 | + | 0.109779i | ||||
\(813\) | −10692.7 | + | 514.937i | −0.461267 | + | 0.0222136i | ||||
\(814\) | 1872.66 | + | 2515.42i | 0.0806348 | + | 0.108311i | ||||
\(815\) | −17409.7 | − | 58152.6i | −0.748266 | − | 2.49938i | ||||
\(816\) | −5959.36 | + | 4344.12i | −0.255661 | + | 0.186366i | ||||
\(817\) | −12720.5 | − | 29489.3i | −0.544715 | − | 1.26279i | ||||
\(818\) | −1318.59 | − | 7478.07i | −0.0563609 | − | 0.319639i | ||||
\(819\) | 20715.5 | + | 14229.8i | 0.883830 | + | 0.607117i | ||||
\(820\) | −1150.54 | + | 6525.01i | −0.0489981 | + | 0.277882i | ||||
\(821\) | 29376.5 | − | 6962.36i | 1.24878 | − | 0.295966i | 0.447515 | − | 0.894277i | \(-0.352309\pi\) |
0.801264 | + | 0.598311i | \(0.204161\pi\) | |||||||
\(822\) | −6783.66 | − | 8251.59i | −0.287844 | − | 0.350130i | ||||
\(823\) | −4781.22 | − | 3144.66i | −0.202507 | − | 0.133191i | 0.444205 | − | 0.895925i | \(-0.353486\pi\) |
−0.646712 | + | 0.762734i | \(0.723856\pi\) | |||||||
\(824\) | −7.12355 | + | 122.307i | −0.000301166 | + | 0.00517082i | ||||
\(825\) | −75731.3 | − | 14140.2i | −3.19591 | − | 0.596726i | ||||
\(826\) | −382.749 | + | 1278.47i | −0.0161229 | + | 0.0538543i | ||||
\(827\) | −39503.0 | + | 14377.9i | −1.66101 | + | 0.604558i | −0.990521 | − | 0.137362i | \(-0.956138\pi\) |
−0.670489 | + | 0.741920i | \(0.733915\pi\) | |||||||
\(828\) | 1203.36 | − | 6103.97i | 0.0505067 | − | 0.256193i | ||||
\(829\) | 24903.1 | + | 9063.99i | 1.04333 | + | 0.379741i | 0.806142 | − | 0.591723i | \(-0.201552\pi\) |
0.237188 | + | 0.971464i | \(0.423774\pi\) | |||||||
\(830\) | −13669.0 | + | 18360.7i | −0.571637 | + | 0.767842i | ||||
\(831\) | 9571.39 | + | 19545.9i | 0.399552 | + | 0.815932i | ||||
\(832\) | −4098.20 | − | 971.290i | −0.170768 | − | 0.0404729i | ||||
\(833\) | −5021.89 | + | 11642.0i | −0.208881 | + | 0.484241i | ||||
\(834\) | −601.587 | − | 186.716i | −0.0249775 | − | 0.00775232i | ||||
\(835\) | 7140.34 | − | 4696.27i | 0.295930 | − | 0.194636i | ||||
\(836\) | −15643.3 | − | 27095.0i | −0.647172 | − | 1.12094i | ||||
\(837\) | 18096.3 | − | 4827.90i | 0.747310 | − | 0.199375i | ||||
\(838\) | −1467.23 | + | 2541.31i | −0.0604827 | + | 0.104759i | ||||
\(839\) | 345.924 | + | 5939.29i | 0.0142344 | + | 0.244395i | 0.997918 | + | 0.0644897i | \(0.0205420\pi\) |
−0.983684 | + | 0.179905i | \(0.942421\pi\) | |||||||
\(840\) | 1449.23 | − | 11403.2i | 0.0595275 | − | 0.468389i | ||||
\(841\) | 14284.4 | − | 1669.61i | 0.585690 | − | 0.0684574i | ||||
\(842\) | 8492.52 | − | 9001.54i | 0.347591 | − | 0.368425i | ||||
\(843\) | 10303.3 | − | 41603.8i | 0.420952 | − | 1.69977i | ||||
\(844\) | −22499.6 | − | 2629.83i | −0.917617 | − | 0.107254i | ||||
\(845\) | −31955.1 | + | 26813.5i | −1.30093 | + | 1.09161i | ||||
\(846\) | 17876.7 | − | 11249.2i | 0.726493 | − | 0.457158i | ||||
\(847\) | −21581.4 | − | 18108.9i | −0.875497 | − | 0.734629i | ||||
\(848\) | 4356.45 | + | 4617.57i | 0.176416 | + | 0.186990i | ||||
\(849\) | 21417.7 | + | 12654.4i | 0.865788 | + | 0.511541i | ||||
\(850\) | 40776.7 | − | 20478.8i | 1.64545 | − | 0.826374i | ||||
\(851\) | 1400.28 | − | 703.248i | 0.0564055 | − | 0.0283279i | ||||
\(852\) | −9896.29 | − | 5847.11i | −0.397936 | − | 0.235116i | ||||
\(853\) | −10927.3 | − | 11582.2i | −0.438619 | − | 0.464909i | 0.469920 | − | 0.882709i | \(-0.344283\pi\) |
−0.908539 | + | 0.417800i | \(0.862801\pi\) | |||||||
\(854\) | −19101.1 | − | 16027.8i | −0.765371 | − | 0.642223i | ||||
\(855\) | −63346.5 | − | 33425.8i | −2.53381 | − | 1.33701i | ||||
\(856\) | −8252.09 | + | 6924.32i | −0.329498 | + | 0.276482i | ||||
\(857\) | 10002.0 | + | 1169.07i | 0.398672 | + | 0.0465980i | 0.313067 | − | 0.949731i | \(-0.398644\pi\) |
0.0856048 | + | 0.996329i | \(0.472718\pi\) | |||||||
\(858\) | −9476.75 | + | 38266.4i | −0.377076 | + | 1.52260i | ||||
\(859\) | 15040.5 | − | 15942.0i | 0.597411 | − | 0.633219i | −0.356146 | − | 0.934430i | \(-0.615909\pi\) |
0.953557 | + | 0.301211i | \(0.0973909\pi\) | |||||||
\(860\) | 18383.8 | − | 2148.76i | 0.728933 | − | 0.0852000i | ||||
\(861\) | −785.086 | + | 6177.40i | −0.0310751 | + | 0.244513i | ||||
\(862\) | −822.800 | − | 14126.9i | −0.0325112 | − | 0.558196i | ||||
\(863\) | −18314.3 | + | 31721.4i | −0.722395 | + | 1.25123i | 0.237642 | + | 0.971353i | \(0.423626\pi\) |
−0.960037 | + | 0.279873i | \(0.909708\pi\) | |||||||
\(864\) | −2579.04 | + | 3674.77i | −0.101552 | + | 0.144697i | ||||
\(865\) | −18605.4 | − | 32225.4i | −0.731331 | − | 1.26670i | ||||
\(866\) | 2111.41 | − | 1388.70i | 0.0828506 | − | 0.0544917i | ||||
\(867\) | −14665.8 | − | 4551.85i | −0.574483 | − | 0.178303i | ||||
\(868\) | 2991.58 | − | 6935.25i | 0.116982 | − | 0.271196i | ||||
\(869\) | −2548.15 | − | 603.922i | −0.0994706 | − | 0.0235750i | ||||
\(870\) | 8938.53 | + | 18253.5i | 0.348327 | + | 0.711324i | ||||
\(871\) | −1168.69 | + | 1569.82i | −0.0454645 | + | 0.0610694i | ||||
\(872\) | −11375.2 | − | 4140.22i | −0.441756 | − | 0.160786i | ||||
\(873\) | −1158.67 | − | 1012.64i | −0.0449199 | − | 0.0392586i | ||||
\(874\) | −14690.4 | + | 5346.85i | −0.568546 | + | 0.206934i | ||||
\(875\) | −10485.1 | + | 35022.7i | −0.405099 | + | 1.35313i | ||||
\(876\) | 24132.8 | + | 4505.96i | 0.930789 | + | 0.173793i | ||||
\(877\) | 1860.80 | − | 31948.7i | 0.0716473 | − | 1.23014i | −0.750503 | − | 0.660867i | \(-0.770189\pi\) |
0.822151 | − | 0.569270i | \(-0.192774\pi\) | |||||||
\(878\) | −19588.2 | − | 12883.3i | −0.752926 | − | 0.495207i | ||||
\(879\) | −203.913 | − | 248.038i | −0.00782458 | − | 0.00951774i | ||||
\(880\) | 17545.0 | − | 4158.24i | 0.672093 | − | 0.159289i | ||||
\(881\) | −2430.98 | + | 13786.8i | −0.0929645 | + | 0.527228i | 0.902388 | + | 0.430925i | \(0.141813\pi\) |
−0.995352 | + | 0.0963025i | \(0.969298\pi\) | |||||||
\(882\) | −603.685 | + | 7694.96i | −0.0230467 | + | 0.293767i | ||||
\(883\) | −1805.84 | − | 10241.4i | −0.0688238 | − | 0.390319i | −0.999689 | − | 0.0249551i | \(-0.992056\pi\) |
0.930865 | − | 0.365364i | \(-0.119055\pi\) | |||||||
\(884\) | −9248.30 | − | 21440.0i | −0.351871 | − | 0.815728i | ||||
\(885\) | −3872.64 | + | 2822.99i | −0.147093 | + | 0.107224i | ||||
\(886\) | −2278.84 | − | 7611.86i | −0.0864099 | − | 0.288629i | ||||
\(887\) | 30042.1 | + | 40353.5i | 1.13722 | + | 1.52755i | 0.813656 | + | 0.581347i | \(0.197474\pi\) |
0.323565 | + | 0.946206i | \(0.395119\pi\) | |||||||
\(888\) | −1129.42 | + | 54.3906i | −0.0426813 | + | 0.00205544i | ||||
\(889\) | 18126.7 | + | 9103.59i | 0.683859 | + | 0.343447i | ||||
\(890\) | −12406.2 | −0.467253 | ||||||||
\(891\) | 34151.9 | + | 24484.9i | 1.28410 | + | 0.920622i | ||||
\(892\) | −1695.63 | −0.0636478 | ||||||||
\(893\) | −47428.5 | − | 23819.5i | −1.77731 | − | 0.892597i | ||||
\(894\) | 5757.75 | − | 11182.8i | 0.215400 | − | 0.418353i | ||||
\(895\) | 27605.5 | + | 37080.6i | 1.03100 | + | 1.38488i | ||||
\(896\) | 519.251 | + | 1734.42i | 0.0193604 | + | 0.0646684i | ||||
\(897\) | 18008.0 | + | 7983.63i | 0.670311 | + | 0.297175i | ||||
\(898\) | −7511.64 | − | 17413.9i | −0.279139 | − | 0.647116i | ||||
\(899\) | 2319.02 | + | 13151.8i | 0.0860329 | + | 0.487917i | ||||
\(900\) | 19465.2 | − | 19817.8i | 0.720935 | − | 0.733993i | ||||
\(901\) | −6111.46 | + | 34659.8i | −0.225974 | + | 1.28156i | ||||
\(902\) | −9504.61 | + | 2252.63i | −0.350852 | + | 0.0831535i | ||||
\(903\) | 17160.7 | − | 2848.26i | 0.632418 | − | 0.104966i | ||||
\(904\) | 4189.00 | + | 2755.15i | 0.154119 | + | 0.101366i | ||||
\(905\) | −4867.14 | + | 83565.6i | −0.178773 | + | 3.06941i | ||||
\(906\) | −11816.6 | − | 33510.6i | −0.433311 | − | 1.22882i | ||||
\(907\) | −7082.35 | + | 23656.7i | −0.259278 | + | 0.866050i | 0.724898 | + | 0.688857i | \(0.241887\pi\) |
−0.984176 | + | 0.177193i | \(0.943298\pi\) | |||||||
\(908\) | 13046.2 | − | 4748.42i | 0.476820 | − | 0.173548i | ||||
\(909\) | 5070.07 | + | 9204.32i | 0.184998 | + | 0.335850i | ||||
\(910\) | 34200.2 | + | 12447.9i | 1.24585 | + | 0.453453i | ||||
\(911\) | −455.578 | + | 611.947i | −0.0165686 | + | 0.0222555i | −0.810330 | − | 0.585973i | \(-0.800712\pi\) |
0.793762 | + | 0.608229i | \(0.208120\pi\) | |||||||
\(912\) | 11254.8 | + | 769.162i | 0.408645 | + | 0.0279271i | ||||
\(913\) | −32836.2 | − | 7782.31i | −1.19027 | − | 0.282100i | ||||
\(914\) | −2244.00 | + | 5202.17i | −0.0812087 | + | 0.188263i | ||||
\(915\) | −19772.4 | − | 87331.0i | −0.714376 | − | 3.15527i | ||||
\(916\) | −7524.45 | + | 4948.91i | −0.271414 | + | 0.178512i | ||||
\(917\) | −5388.32 | − | 9332.85i | −0.194044 | − | 0.336093i | ||||
\(918\) | −24879.7 | + | 696.976i | −0.894500 | + | 0.0250584i | ||||
\(919\) | −15717.8 | + | 27224.0i | −0.564180 | + | 0.977188i | 0.432946 | + | 0.901420i | \(0.357474\pi\) |
−0.997125 | + | 0.0757681i | \(0.975859\pi\) | |||||||
\(920\) | −523.865 | − | 8994.41i | −0.0187732 | − | 0.322323i | ||||
\(921\) | 7534.44 | + | 5727.84i | 0.269564 | + | 0.204928i | ||||
\(922\) | −28373.8 | + | 3316.43i | −1.01350 | + | 0.118461i | ||||
\(923\) | 24975.2 | − | 26472.1i | 0.890647 | − | 0.944031i | ||||
\(924\) | 16282.5 | − | 4696.76i | 0.579713 | − | 0.167221i | ||||
\(925\) | 6949.05 | + | 812.228i | 0.247009 | + | 0.0288712i | ||||
\(926\) | 2296.18 | − | 1926.72i | 0.0814870 | − | 0.0683757i | ||||
\(927\) | −253.536 | + | 326.632i | −0.00898299 | + | 0.0115728i | ||||
\(928\) | −2452.24 | − | 2057.68i | −0.0867445 | − | 0.0727872i | ||||
\(929\) | −4349.25 | − | 4609.94i | −0.153600 | − | 0.162806i | 0.646004 | − | 0.763334i | \(-0.276439\pi\) |
−0.799604 | + | 0.600527i | \(0.794957\pi\) | |||||||
\(930\) | 23624.3 | − | 13324.5i | 0.832980 | − | 0.469815i | ||||
\(931\) | 17332.1 | − | 8704.53i | 0.610137 | − | 0.306423i | ||||
\(932\) | 20335.2 | − | 10212.7i | 0.714702 | − | 0.358937i | ||||
\(933\) | −362.971 | + | 36090.1i | −0.0127365 | + | 1.26638i | ||||
\(934\) | −8881.66 | − | 9414.01i | −0.311153 | − | 0.329803i | ||||
\(935\) | 76576.2 | + | 64255.1i | 2.67841 | + | 2.24745i | ||||
\(936\) | −9544.70 | − | 10533.4i | −0.333310 | − | 0.367837i | ||||
\(937\) | −24974.4 | + | 20956.0i | −0.870736 | + | 0.730634i | −0.964253 | − | 0.264984i | \(-0.914633\pi\) |
0.0935170 | + | 0.995618i | \(0.470189\pi\) | |||||||
\(938\) | 835.596 | + | 97.6672i | 0.0290865 | + | 0.00339973i | ||||
\(939\) | 9625.77 | + | 9266.18i | 0.334532 | + | 0.322035i | ||||
\(940\) | 20990.3 | − | 22248.4i | 0.728328 | − | 0.771983i | ||||
\(941\) | −7393.21 | + | 864.142i | −0.256123 | + | 0.0299365i | −0.243185 | − | 0.969980i | \(-0.578192\pi\) |
−0.0129375 | + | 0.999916i | \(0.504118\pi\) | |||||||
\(942\) | −3059.89 | + | 1283.57i | −0.105835 | + | 0.0443958i | ||||
\(943\) | 283.792 | + | 4872.52i | 0.00980014 | + | 0.168262i | ||||
\(944\) | 377.404 | − | 653.683i | 0.0130121 | − | 0.0225377i | ||||
\(945\) | 25822.3 | − | 28953.1i | 0.888887 | − | 0.996661i | ||||
\(946\) | 13643.4 | + | 23631.1i | 0.468907 | + | 0.812170i | ||||
\(947\) | 27585.6 | − | 18143.3i | 0.946579 | − | 0.622575i | 0.0204537 | − | 0.999791i | \(-0.493489\pi\) |
0.926125 | + | 0.377216i | \(0.123119\pi\) | |||||||
\(948\) | 693.297 | − | 641.036i | 0.0237524 | − | 0.0219619i | ||||
\(949\) | −30787.2 | + | 71372.6i | −1.05310 | + | 2.44136i | ||||
\(950\) | −67919.6 | − | 16097.2i | −2.31958 | − | 0.549751i | ||||
\(951\) | 13920.4 | − | 20708.2i | 0.474657 | − | 0.706109i | ||||
\(952\) | −5993.80 | + | 8051.07i | −0.204055 | + | 0.274093i | ||||
\(953\) | −40123.9 | − | 14603.9i | −1.36384 | − | 0.496397i | −0.446601 | − | 0.894733i | \(-0.647366\pi\) |
−0.917240 | + | 0.398336i | \(0.869588\pi\) | |||||||
\(954\) | 3295.36 | + | 21170.5i | 0.111836 | + | 0.718469i | ||||
\(955\) | −43610.9 | + | 15873.1i | −1.47771 | + | 0.537844i | ||||
\(956\) | −3179.10 | + | 10618.9i | −0.107552 | + | 0.359247i | ||||
\(957\) | −19490.0 | + | 22758.5i | −0.658332 | + | 0.768734i | ||||
\(958\) | −850.664 | + | 14605.3i | −0.0286886 | + | 0.492565i | ||||
\(959\) | −12146.9 | − | 7989.17i | −0.409015 | − | 0.269013i | ||||
\(960\) | −2284.96 | + | 6086.71i | −0.0768196 | + | 0.204633i | ||||
\(961\) | −11646.7 | + | 2760.32i | −0.390947 | + | 0.0926562i | ||||
\(962\) | 621.682 | − | 3525.73i | 0.0208356 | − | 0.118164i | ||||
\(963\) | −36188.4 | + | 3493.61i | −1.21096 | + | 0.116905i | ||||
\(964\) | −2088.56 | − | 11844.8i | −0.0697800 | − | 0.395742i | ||||
\(965\) | 20586.6 | + | 47725.1i | 0.686742 | + | 1.59205i | ||||
\(966\) | −898.404 | − | 8419.87i | −0.0299231 | − | 0.280440i | ||||
\(967\) | −2281.88 | − | 7622.02i | −0.0758846 | − | 0.253472i | 0.911627 | − | 0.411018i | \(-0.134827\pi\) |
−0.987512 | + | 0.157546i | \(0.949642\pi\) | |||||||
\(968\) | 9515.29 | + | 12781.3i | 0.315943 | + | 0.424385i | ||||
\(969\) | 33839.9 | + | 52595.8i | 1.12187 | + | 1.74367i | ||||
\(970\) | −1991.42 | − | 1000.13i | −0.0659181 | − | 0.0331053i | ||||
\(971\) | 12674.8 | 0.418903 | 0.209451 | − | 0.977819i | \(-0.432832\pi\) | ||||
0.209451 | + | 0.977819i | \(0.432832\pi\) | |||||||
\(972\) | −14196.9 | + | 5294.49i | −0.468482 | + | 0.174713i | ||||
\(973\) | −857.315 | −0.0282469 | ||||||||
\(974\) | 8898.29 | + | 4468.89i | 0.292731 | + | 0.147015i | ||||
\(975\) | 47589.0 | + | 73965.1i | 1.56314 | + | 2.42952i | ||||
\(976\) | 8421.73 | + | 11312.4i | 0.276202 | + | 0.371004i | ||||
\(977\) | 7744.25 | + | 25867.6i | 0.253593 | + | 0.847060i | 0.986079 | + | 0.166278i | \(0.0531748\pi\) |
−0.732486 | + | 0.680782i | \(0.761640\pi\) | |||||||
\(978\) | 3423.56 | + | 32085.8i | 0.111936 | + | 1.04907i | ||||
\(979\) | −7244.22 | − | 16794.0i | −0.236492 | − | 0.548251i | ||||
\(980\) | 1941.00 | + | 11007.9i | 0.0632682 | + | 0.358812i | ||||
\(981\) | −23732.9 | − | 33254.8i | −0.772408 | − | 1.08231i | ||||
\(982\) | 3808.09 | − | 21596.7i | 0.123748 | − | 0.701812i | ||||
\(983\) | −23984.6 | + | 5684.45i | −0.778219 | + | 0.184441i | −0.600484 | − | 0.799637i | \(-0.705025\pi\) |
−0.177735 | + | 0.984078i | \(0.556877\pi\) | |||||||
\(984\) | 1237.83 | − | 3297.34i | 0.0401021 | − | 0.106824i | ||||
\(985\) | −7085.15 | − | 4659.98i | −0.229190 | − | 0.150740i | ||||
\(986\) | 1031.91 | − | 17717.1i | 0.0333292 | − | 0.572240i | ||||
\(987\) | 18699.0 | − | 21834.8i | 0.603034 | − | 0.704163i | ||||
\(988\) | −10244.1 | + | 34217.5i | −0.329865 | + | 1.10183i | ||||
\(989\) | 12812.3 | − | 4663.29i | 0.411938 | − | 0.149933i | ||||
\(990\) | 56754.6 | + | 21959.5i | 1.82200 | + | 0.704968i | ||||
\(991\) | −20904.3 | − | 7608.53i | −0.670077 | − | 0.243888i | −0.0154957 | − | 0.999880i | \(-0.504933\pi\) |
−0.654581 | + | 0.755992i | \(0.727155\pi\) | |||||||
\(992\) | −2551.02 | + | 3426.61i | −0.0816481 | + | 0.109672i | ||||
\(993\) | 12951.3 | − | 19266.6i | 0.413894 | − | 0.615717i | ||||
\(994\) | −15222.9 | − | 3607.89i | −0.485755 | − | 0.115126i | ||||
\(995\) | −2074.76 | + | 4809.83i | −0.0661047 | + | 0.153248i | ||||
\(996\) | 8934.03 | − | 8260.59i | 0.284222 | − | 0.262798i | ||||
\(997\) | −24887.3 | + | 16368.6i | −0.790559 | + | 0.519959i | −0.879398 | − | 0.476087i | \(-0.842055\pi\) |
0.0888392 | + | 0.996046i | \(0.471684\pi\) | |||||||
\(998\) | 349.968 | + | 606.162i | 0.0111002 | + | 0.0192262i | ||||
\(999\) | −3245.88 | − | 2006.94i | −0.102798 | − | 0.0635604i |
(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 | 162.4.g.a.13.5 | ✓ | 234 | |
81.25 | even | 27 | inner | 162.4.g.a.25.5 | yes | 234 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
162.4.g.a.13.5 | ✓ | 234 | 1.1 | even | 1 | trivial | |
162.4.g.a.25.5 | yes | 234 | 81.25 | even | 27 | inner |