Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [177,4,Mod(4,177)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(177, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("177.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 177 = 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 177.e (of order \(29\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(10.4433380710\) |
Analytic rank: | \(0\) |
Dimension: | \(420\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 4.9 | ||
Character | \(\chi\) | \(=\) | 177.4 |
Dual form | 177.4.e.b.133.9 |
$q$-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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{1}{29}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.24705 | + | 0.135624i | 0.440897 | + | 0.0479505i | 0.325876 | − | 0.945413i | \(-0.394341\pi\) |
0.115021 | + | 0.993363i | \(0.463306\pi\) | |||||||
\(3\) | 1.94216 | − | 2.28649i | 0.373769 | − | 0.440034i | ||||
\(4\) | −6.27623 | − | 1.38150i | −0.784529 | − | 0.172688i | ||||
\(5\) | 16.4405 | + | 12.4978i | 1.47048 | + | 1.11783i | 0.967294 | + | 0.253658i | \(0.0816339\pi\) |
0.503191 | + | 0.864175i | \(0.332159\pi\) | |||||||
\(6\) | 2.73207 | − | 2.58795i | 0.185894 | − | 0.176088i | ||||
\(7\) | −11.4144 | + | 28.6480i | −0.616321 | + | 1.54685i | 0.206439 | + | 0.978459i | \(0.433812\pi\) |
−0.822760 | + | 0.568389i | \(0.807567\pi\) | |||||||
\(8\) | −17.1493 | − | 5.77826i | −0.757898 | − | 0.255366i | ||||
\(9\) | −1.45604 | − | 8.88144i | −0.0539273 | − | 0.328942i | ||||
\(10\) | 18.8071 | + | 17.8150i | 0.594732 | + | 0.563360i | ||||
\(11\) | −49.2402 | + | 22.7810i | −1.34968 | + | 0.624429i | −0.955605 | − | 0.294650i | \(-0.904797\pi\) |
−0.394075 | + | 0.919078i | \(0.628935\pi\) | |||||||
\(12\) | −15.3482 | + | 11.6674i | −0.369221 | + | 0.280675i | ||||
\(13\) | 0.101299 | − | 0.617895i | 0.00216117 | − | 0.0131826i | −0.985724 | − | 0.168370i | \(-0.946150\pi\) |
0.987885 | + | 0.155187i | \(0.0495980\pi\) | |||||||
\(14\) | −18.1197 | + | 34.1774i | −0.345906 | + | 0.652449i | ||||
\(15\) | 60.5061 | − | 13.3184i | 1.04151 | − | 0.229253i | ||||
\(16\) | 26.0579 | + | 12.0557i | 0.407154 | + | 0.188370i | ||||
\(17\) | −27.7891 | − | 69.7455i | −0.396462 | − | 0.995045i | −0.982750 | − | 0.184942i | \(-0.940790\pi\) |
0.586288 | − | 0.810103i | \(-0.300589\pi\) | |||||||
\(18\) | −0.611206 | − | 11.2730i | −0.00800349 | − | 0.147616i | ||||
\(19\) | 45.0158 | + | 66.3933i | 0.543544 | + | 0.801667i | 0.995928 | − | 0.0901563i | \(-0.0287367\pi\) |
−0.452384 | + | 0.891823i | \(0.649426\pi\) | |||||||
\(20\) | −85.9189 | − | 101.152i | −0.960602 | − | 1.13091i | ||||
\(21\) | 43.3347 | + | 81.7380i | 0.450305 | + | 0.849366i | ||||
\(22\) | −64.4945 | + | 21.7307i | −0.625012 | + | 0.210591i | ||||
\(23\) | −8.73367 | + | 161.083i | −0.0791781 | + | 1.46035i | 0.641521 | + | 0.767106i | \(0.278304\pi\) |
−0.720699 | + | 0.693248i | \(0.756179\pi\) | |||||||
\(24\) | −46.5185 | + | 27.9893i | −0.395648 | + | 0.238054i | ||||
\(25\) | 80.6557 | + | 290.496i | 0.645246 | + | 2.32397i | ||||
\(26\) | 0.210126 | − | 0.756806i | 0.00158497 | − | 0.00570853i | ||||
\(27\) | −23.1351 | − | 13.9200i | −0.164902 | − | 0.0992184i | ||||
\(28\) | 111.217 | − | 164.033i | 0.750644 | − | 1.10712i | ||||
\(29\) | 213.866 | − | 23.2594i | 1.36945 | − | 0.148936i | 0.606339 | − | 0.795206i | \(-0.292638\pi\) |
0.763109 | + | 0.646270i | \(0.223672\pi\) | |||||||
\(30\) | 77.2602 | − | 8.40255i | 0.470190 | − | 0.0511363i | ||||
\(31\) | 120.151 | − | 177.210i | 0.696124 | − | 1.02671i | −0.301198 | − | 0.953562i | \(-0.597386\pi\) |
0.997321 | − | 0.0731439i | \(-0.0233032\pi\) | |||||||
\(32\) | 154.910 | + | 93.2061i | 0.855764 | + | 0.514896i | ||||
\(33\) | −43.5440 | + | 156.831i | −0.229698 | + | 0.827298i | ||||
\(34\) | −25.1951 | − | 90.7447i | −0.127086 | − | 0.457723i | ||||
\(35\) | −545.695 | + | 328.334i | −2.63541 | + | 1.58567i | ||||
\(36\) | −3.13130 | + | 57.7535i | −0.0144968 | + | 0.267377i | ||||
\(37\) | −166.688 | + | 56.1636i | −0.740629 | + | 0.249547i | −0.664228 | − | 0.747530i | \(-0.731240\pi\) |
−0.0764011 | + | 0.997077i | \(0.524343\pi\) | |||||||
\(38\) | 47.1322 | + | 88.9008i | 0.201207 | + | 0.379516i | ||||
\(39\) | −1.21607 | − | 1.43167i | −0.00499300 | − | 0.00587822i | ||||
\(40\) | −209.728 | − | 309.325i | −0.829021 | − | 1.22272i | ||||
\(41\) | −12.6394 | − | 233.120i | −0.0481449 | − | 0.887980i | −0.918467 | − | 0.395497i | \(-0.870572\pi\) |
0.870322 | − | 0.492483i | \(-0.163910\pi\) | |||||||
\(42\) | 42.9547 | + | 107.808i | 0.157811 | + | 0.396076i | ||||
\(43\) | −31.6715 | − | 14.6528i | −0.112322 | − | 0.0519657i | 0.362923 | − | 0.931819i | \(-0.381779\pi\) |
−0.475245 | + | 0.879853i | \(0.657641\pi\) | |||||||
\(44\) | 340.515 | − | 74.9530i | 1.16670 | − | 0.256809i | ||||
\(45\) | 87.0601 | − | 164.213i | 0.288403 | − | 0.543986i | ||||
\(46\) | −32.7381 | + | 199.694i | −0.104934 | + | 0.640070i | ||||
\(47\) | 97.4073 | − | 74.0471i | 0.302304 | − | 0.229806i | −0.443014 | − | 0.896515i | \(-0.646091\pi\) |
0.745318 | + | 0.666709i | \(0.232298\pi\) | |||||||
\(48\) | 78.1736 | − | 36.1670i | 0.235071 | − | 0.108755i | ||||
\(49\) | −441.404 | − | 418.121i | −1.28689 | − | 1.21901i | ||||
\(50\) | 61.1831 | + | 373.200i | 0.173052 | + | 1.05557i | ||||
\(51\) | −213.443 | − | 71.9173i | −0.586039 | − | 0.197460i | ||||
\(52\) | −1.48940 | + | 3.73811i | −0.00397197 | + | 0.00996890i | ||||
\(53\) | 177.141 | − | 167.797i | 0.459097 | − | 0.434880i | −0.422870 | − | 0.906190i | \(-0.638977\pi\) |
0.881967 | + | 0.471310i | \(0.156219\pi\) | |||||||
\(54\) | −26.9627 | − | 20.4965i | −0.0679474 | − | 0.0516523i | ||||
\(55\) | −1094.25 | − | 240.862i | −2.68269 | − | 0.590505i | ||||
\(56\) | 361.285 | − | 425.338i | 0.862120 | − | 1.01497i | ||||
\(57\) | 239.235 | + | 26.0184i | 0.555921 | + | 0.0604600i | ||||
\(58\) | 269.856 | 0.610928 | ||||||||
\(59\) | 401.395 | + | 210.384i | 0.885714 | + | 0.464231i | ||||
\(60\) | −398.150 | −0.856682 | ||||||||
\(61\) | 439.961 | + | 47.8487i | 0.923463 | + | 0.100433i | 0.557482 | − | 0.830189i | \(-0.311768\pi\) |
0.365982 | + | 0.930622i | \(0.380733\pi\) | |||||||
\(62\) | 173.868 | − | 204.694i | 0.356150 | − | 0.419292i | ||||
\(63\) | 271.056 | + | 59.6639i | 0.542060 | + | 0.119316i | ||||
\(64\) | −2.31769 | − | 1.76186i | −0.00452673 | − | 0.00344113i | ||||
\(65\) | 9.38771 | − | 8.89251i | 0.0179139 | − | 0.0169689i | ||||
\(66\) | −75.5715 | + | 189.670i | −0.140943 | + | 0.353739i | ||||
\(67\) | −21.5298 | − | 7.25424i | −0.0392580 | − | 0.0132276i | 0.299604 | − | 0.954064i | \(-0.403145\pi\) |
−0.338862 | + | 0.940836i | \(0.610042\pi\) | |||||||
\(68\) | 78.0575 | + | 476.130i | 0.139204 | + | 0.849106i | ||||
\(69\) | 351.352 | + | 332.818i | 0.613012 | + | 0.580675i | ||||
\(70\) | −725.037 | + | 335.438i | −1.23798 | + | 0.572750i | ||||
\(71\) | −416.198 | + | 316.386i | −0.695685 | + | 0.528846i | −0.892192 | − | 0.451656i | \(-0.850833\pi\) |
0.196507 | + | 0.980502i | \(0.437040\pi\) | |||||||
\(72\) | −26.3493 | + | 160.724i | −0.0431291 | + | 0.263076i | ||||
\(73\) | −217.541 | + | 410.327i | −0.348785 | + | 0.657878i | −0.994388 | − | 0.105795i | \(-0.966261\pi\) |
0.645603 | + | 0.763673i | \(0.276606\pi\) | |||||||
\(74\) | −215.484 | + | 47.4317i | −0.338507 | + | 0.0745111i | ||||
\(75\) | 820.860 | + | 379.770i | 1.26380 | + | 0.584695i | ||||
\(76\) | −190.807 | − | 478.889i | −0.287988 | − | 0.722795i | ||||
\(77\) | −90.5809 | − | 1670.67i | −0.134060 | − | 2.47260i | ||||
\(78\) | −1.32233 | − | 1.95029i | −0.00191954 | − | 0.00283111i | ||||
\(79\) | 334.530 | + | 393.840i | 0.476425 | + | 0.560891i | 0.946902 | − | 0.321521i | \(-0.104194\pi\) |
−0.470477 | + | 0.882412i | \(0.655918\pi\) | |||||||
\(80\) | 277.736 | + | 523.866i | 0.388148 | + | 0.732125i | ||||
\(81\) | −76.7599 | + | 25.8634i | −0.105295 | + | 0.0354779i | ||||
\(82\) | 15.8548 | − | 292.425i | 0.0213521 | − | 0.393817i | ||||
\(83\) | −457.260 | + | 275.124i | −0.604708 | + | 0.363841i | −0.784745 | − | 0.619819i | \(-0.787206\pi\) |
0.180037 | + | 0.983660i | \(0.442378\pi\) | |||||||
\(84\) | −159.058 | − | 572.874i | −0.206602 | − | 0.744115i | ||||
\(85\) | 414.794 | − | 1493.95i | 0.529303 | − | 1.90638i | ||||
\(86\) | −37.5085 | − | 22.5681i | −0.0470308 | − | 0.0282975i | ||||
\(87\) | 362.180 | − | 534.176i | 0.446319 | − | 0.658272i | ||||
\(88\) | 976.068 | − | 106.154i | 1.18238 | − | 0.128591i | ||||
\(89\) | −590.213 | + | 64.1896i | −0.702949 | + | 0.0764503i | −0.452611 | − | 0.891708i | \(-0.649507\pi\) |
−0.250338 | + | 0.968158i | \(0.580542\pi\) | |||||||
\(90\) | 130.839 | − | 192.973i | 0.153241 | − | 0.226013i | ||||
\(91\) | 16.5452 | + | 9.95493i | 0.0190595 | + | 0.0114677i | ||||
\(92\) | 277.351 | − | 998.929i | 0.314303 | − | 1.13202i | ||||
\(93\) | −171.835 | − | 618.895i | −0.191597 | − | 0.690069i | ||||
\(94\) | 131.514 | − | 79.1293i | 0.144305 | − | 0.0868252i | ||||
\(95\) | −89.6847 | + | 1654.14i | −0.0968575 | + | 1.78643i | ||||
\(96\) | 513.974 | − | 173.178i | 0.546430 | − | 0.184114i | ||||
\(97\) | −744.698 | − | 1404.65i | −0.779511 | − | 1.47031i | −0.879794 | − | 0.475356i | \(-0.842319\pi\) |
0.100282 | − | 0.994959i | \(-0.468025\pi\) | |||||||
\(98\) | −493.744 | − | 581.281i | −0.508936 | − | 0.599166i | ||||
\(99\) | 274.023 | + | 404.154i | 0.278186 | + | 0.410293i | ||||
\(100\) | −104.893 | − | 1934.64i | −0.104893 | − | 1.93464i | ||||
\(101\) | 2.51717 | + | 6.31763i | 0.00247988 | + | 0.00622403i | 0.930211 | − | 0.367024i | \(-0.119623\pi\) |
−0.927732 | + | 0.373248i | \(0.878244\pi\) | |||||||
\(102\) | −256.419 | − | 118.632i | −0.248915 | − | 0.115160i | ||||
\(103\) | 695.933 | − | 153.186i | 0.665750 | − | 0.146543i | 0.130777 | − | 0.991412i | \(-0.458253\pi\) |
0.534973 | + | 0.844869i | \(0.320322\pi\) | |||||||
\(104\) | −5.30756 | + | 10.0111i | −0.00500432 | + | 0.00943915i | ||||
\(105\) | −309.096 | + | 1885.40i | −0.287283 | + | 1.75235i | ||||
\(106\) | 243.660 | − | 185.226i | 0.223267 | − | 0.169724i | ||||
\(107\) | 1402.33 | − | 648.786i | 1.26699 | − | 0.586173i | 0.332818 | − | 0.942991i | \(-0.392000\pi\) |
0.934174 | + | 0.356818i | \(0.116138\pi\) | |||||||
\(108\) | 125.971 | + | 119.326i | 0.112237 | + | 0.106316i | ||||
\(109\) | −39.5722 | − | 241.380i | −0.0347736 | − | 0.212110i | 0.963724 | − | 0.266900i | \(-0.0859993\pi\) |
−0.998498 | + | 0.0547901i | \(0.982551\pi\) | |||||||
\(110\) | −1331.91 | − | 448.772i | −1.15448 | − | 0.388989i | ||||
\(111\) | −195.317 | + | 490.207i | −0.167015 | + | 0.419175i | ||||
\(112\) | −642.806 | + | 608.898i | −0.542317 | + | 0.513710i | ||||
\(113\) | 537.811 | + | 408.833i | 0.447726 | + | 0.340352i | 0.804617 | − | 0.593793i | \(-0.202370\pi\) |
−0.356892 | + | 0.934146i | \(0.616163\pi\) | |||||||
\(114\) | 294.809 | + | 64.8923i | 0.242205 | + | 0.0533133i | ||||
\(115\) | −2156.76 | + | 2539.14i | −1.74886 | + | 2.05892i | ||||
\(116\) | −1374.41 | − | 149.476i | −1.10009 | − | 0.119642i | ||||
\(117\) | −5.63529 | −0.00445285 | ||||||||
\(118\) | 472.025 | + | 316.797i | 0.368249 | + | 0.247149i | ||||
\(119\) | 2315.27 | 1.78353 | ||||||||
\(120\) | −1114.59 | − | 121.219i | −0.847899 | − | 0.0922146i | ||||
\(121\) | 1043.96 | − | 1229.04i | 0.784340 | − | 0.923396i | ||||
\(122\) | 542.163 | + | 119.339i | 0.402337 | + | 0.0885610i | ||||
\(123\) | −557.573 | − | 423.856i | −0.408737 | − | 0.310714i | ||||
\(124\) | −998.915 | + | 946.222i | −0.723429 | + | 0.685268i | ||||
\(125\) | −1349.03 | + | 3385.82i | −0.965290 | + | 2.42270i | ||||
\(126\) | 329.927 | + | 111.165i | 0.233272 | + | 0.0785984i | ||||
\(127\) | −344.395 | − | 2100.72i | −0.240631 | − | 1.46778i | −0.780035 | − | 0.625735i | \(-0.784799\pi\) |
0.539405 | − | 0.842047i | \(-0.318649\pi\) | |||||||
\(128\) | −1052.66 | − | 997.136i | −0.726900 | − | 0.688556i | ||||
\(129\) | −95.0144 | + | 43.9583i | −0.0648492 | + | 0.0300024i | ||||
\(130\) | 12.9130 | − | 9.81617i | 0.00871185 | − | 0.00662258i | ||||
\(131\) | −172.914 | + | 1054.73i | −0.115325 | + | 0.703452i | 0.864354 | + | 0.502883i | \(0.167727\pi\) |
−0.979680 | + | 0.200569i | \(0.935721\pi\) | |||||||
\(132\) | 489.955 | − | 924.154i | 0.323069 | − | 0.609373i | ||||
\(133\) | −2415.87 | + | 531.773i | −1.57505 | + | 0.346696i | ||||
\(134\) | −25.8648 | − | 11.9664i | −0.0166745 | − | 0.00771444i | ||||
\(135\) | −206.386 | − | 517.989i | −0.131577 | − | 0.330232i | ||||
\(136\) | 73.5558 | + | 1356.66i | 0.0463776 | + | 0.855385i | ||||
\(137\) | 1179.25 | + | 1739.27i | 0.735404 | + | 1.08464i | 0.992969 | + | 0.118378i | \(0.0377695\pi\) |
−0.257565 | + | 0.966261i | \(0.582920\pi\) | |||||||
\(138\) | 393.014 | + | 462.692i | 0.242432 | + | 0.285413i | ||||
\(139\) | 864.355 | + | 1630.35i | 0.527436 | + | 0.994851i | 0.993897 | + | 0.110309i | \(0.0351840\pi\) |
−0.466461 | + | 0.884542i | \(0.654471\pi\) | |||||||
\(140\) | 3878.51 | − | 1306.82i | 2.34138 | − | 0.788904i | ||||
\(141\) | 19.8728 | − | 366.532i | 0.0118694 | − | 0.218919i | ||||
\(142\) | −561.928 | + | 338.101i | −0.332084 | + | 0.199809i | ||||
\(143\) | 9.08827 | + | 32.7330i | 0.00531468 | + | 0.0191417i | ||||
\(144\) | 69.1303 | − | 248.985i | 0.0400060 | − | 0.144088i | ||||
\(145\) | 3806.76 | + | 2290.45i | 2.18024 | + | 1.31181i | ||||
\(146\) | −326.935 | + | 482.192i | −0.185324 | + | 0.273332i | ||||
\(147\) | −1813.30 | + | 197.209i | −1.01741 | + | 0.110650i | ||||
\(148\) | 1123.76 | − | 122.216i | 0.624139 | − | 0.0678792i | ||||
\(149\) | −965.079 | + | 1423.39i | −0.530620 | + | 0.782606i | −0.994660 | − | 0.103208i | \(-0.967089\pi\) |
0.464040 | + | 0.885814i | \(0.346399\pi\) | |||||||
\(150\) | 972.145 | + | 584.920i | 0.529169 | + | 0.318390i | ||||
\(151\) | 56.4900 | − | 203.458i | 0.0304443 | − | 0.109650i | −0.946767 | − | 0.321920i | \(-0.895672\pi\) |
0.977211 | + | 0.212270i | \(0.0680855\pi\) | |||||||
\(152\) | −388.350 | − | 1398.71i | −0.207233 | − | 0.746384i | ||||
\(153\) | −578.978 | + | 348.359i | −0.305932 | + | 0.184073i | ||||
\(154\) | 113.625 | − | 2095.68i | 0.0594554 | − | 1.09659i | ||||
\(155\) | 4190.08 | − | 1411.80i | 2.17133 | − | 0.731605i | ||||
\(156\) | 5.65449 | + | 10.6655i | 0.00290206 | + | 0.00547387i | ||||
\(157\) | −1554.23 | − | 1829.78i | −0.790070 | − | 0.930142i | 0.208786 | − | 0.977961i | \(-0.433049\pi\) |
−0.998856 | + | 0.0478192i | \(0.984773\pi\) | |||||||
\(158\) | 363.761 | + | 536.507i | 0.183160 | + | 0.270140i | ||||
\(159\) | −39.6292 | − | 730.917i | −0.0197660 | − | 0.364563i | ||||
\(160\) | 1381.93 | + | 3468.38i | 0.682820 | + | 1.71375i | ||||
\(161\) | −4515.02 | − | 2088.87i | −2.21015 | − | 1.02252i | ||||
\(162\) | −99.2309 | + | 21.8424i | −0.0481254 | + | 0.0105932i | ||||
\(163\) | −587.743 | + | 1108.60i | −0.282427 | + | 0.532713i | −0.983619 | − | 0.180259i | \(-0.942307\pi\) |
0.701193 | + | 0.712972i | \(0.252651\pi\) | |||||||
\(164\) | −242.728 | + | 1480.57i | −0.115572 | + | 0.704960i | ||||
\(165\) | −2675.93 | + | 2034.19i | −1.26255 | + | 0.959765i | ||||
\(166\) | −607.538 | + | 281.077i | −0.284061 | + | 0.131420i | ||||
\(167\) | 1666.73 | + | 1578.81i | 0.772310 | + | 0.731571i | 0.968505 | − | 0.248994i | \(-0.0801000\pi\) |
−0.196195 | + | 0.980565i | \(0.562859\pi\) | |||||||
\(168\) | −270.856 | − | 1652.15i | −0.124387 | − | 0.758725i | ||||
\(169\) | 2081.62 | + | 701.380i | 0.947484 | + | 0.319245i | ||||
\(170\) | 719.884 | − | 1806.77i | 0.324780 | − | 0.815136i | ||||
\(171\) | 524.124 | − | 496.476i | 0.234390 | − | 0.222026i | ||||
\(172\) | 178.535 | + | 135.718i | 0.0791461 | + | 0.0601653i | ||||
\(173\) | 2437.54 | + | 536.544i | 1.07123 | + | 0.235796i | 0.715372 | − | 0.698744i | \(-0.246257\pi\) |
0.355859 | + | 0.934540i | \(0.384188\pi\) | |||||||
\(174\) | 524.103 | − | 617.021i | 0.228346 | − | 0.268829i | ||||
\(175\) | −9242.77 | − | 1005.21i | −3.99250 | − | 0.434211i | ||||
\(176\) | −1557.73 | −0.667151 | ||||||||
\(177\) | 1260.61 | − | 509.185i | 0.535330 | − | 0.216230i | ||||
\(178\) | −744.729 | −0.313594 | ||||||||
\(179\) | 2586.30 | + | 281.277i | 1.07994 | + | 0.117450i | 0.630749 | − | 0.775987i | \(-0.282748\pi\) |
0.449189 | + | 0.893437i | \(0.351713\pi\) | |||||||
\(180\) | −773.270 | + | 910.364i | −0.320201 | + | 0.376969i | ||||
\(181\) | −1896.54 | − | 417.460i | −0.778833 | − | 0.171434i | −0.192275 | − | 0.981341i | \(-0.561587\pi\) |
−0.586558 | + | 0.809907i | \(0.699518\pi\) | |||||||
\(182\) | 19.2825 | + | 14.6582i | 0.00785338 | + | 0.00596999i | ||||
\(183\) | 963.880 | − | 913.036i | 0.389356 | − | 0.368817i | ||||
\(184\) | 1080.56 | − | 2711.99i | 0.432933 | − | 1.08658i | ||||
\(185\) | −3442.35 | − | 1159.86i | −1.36804 | − | 0.460945i | ||||
\(186\) | −130.349 | − | 795.095i | −0.0513853 | − | 0.313437i | ||||
\(187\) | 2957.21 | + | 2801.22i | 1.15643 | + | 1.09543i | ||||
\(188\) | −713.647 | + | 330.168i | −0.276851 | + | 0.128085i | ||||
\(189\) | 662.854 | − | 503.888i | 0.255108 | − | 0.193928i | ||||
\(190\) | −336.182 | + | 2050.62i | −0.128364 | + | 0.782988i | ||||
\(191\) | −1376.97 | + | 2597.23i | −0.521643 | + | 0.983923i | 0.473050 | + | 0.881035i | \(0.343153\pi\) |
−0.994693 | + | 0.102887i | \(0.967192\pi\) | |||||||
\(192\) | −8.52978 | + | 1.87755i | −0.00320617 | + | 0.000705731i | ||||
\(193\) | −1075.46 | − | 497.559i | −0.401103 | − | 0.185570i | 0.208958 | − | 0.977925i | \(-0.432993\pi\) |
−0.610061 | + | 0.792355i | \(0.708855\pi\) | |||||||
\(194\) | −738.168 | − | 1852.66i | −0.273182 | − | 0.685636i | ||||
\(195\) | −2.10018 | − | 38.7355i | −0.000771267 | − | 0.0142252i | ||||
\(196\) | 2192.72 | + | 3234.02i | 0.799097 | + | 1.17858i | ||||
\(197\) | 607.249 | + | 714.909i | 0.219618 | + | 0.258554i | 0.860927 | − | 0.508728i | \(-0.169884\pi\) |
−0.641309 | + | 0.767283i | \(0.721608\pi\) | |||||||
\(198\) | 286.907 | + | 541.163i | 0.102978 | + | 0.194236i | ||||
\(199\) | 2329.30 | − | 784.832i | 0.829747 | − | 0.279574i | 0.127797 | − | 0.991800i | \(-0.459209\pi\) |
0.701950 | + | 0.712226i | \(0.252313\pi\) | |||||||
\(200\) | 295.373 | − | 5447.84i | 0.104430 | − | 1.92610i | ||||
\(201\) | −58.4011 | + | 35.1388i | −0.0204940 | + | 0.0123308i | ||||
\(202\) | 2.28221 | + | 8.21976i | 0.000794928 | + | 0.00286307i | ||||
\(203\) | −1774.83 | + | 6392.34i | −0.613637 | + | 2.21012i | ||||
\(204\) | 1240.26 | + | 746.242i | 0.425666 | + | 0.256115i | ||||
\(205\) | 2705.68 | − | 3990.57i | 0.921817 | − | 1.35958i | ||||
\(206\) | 888.636 | − | 96.6450i | 0.300554 | − | 0.0326873i | ||||
\(207\) | 1443.37 | − | 156.975i | 0.484642 | − | 0.0527080i | ||||
\(208\) | 10.0888 | − | 14.8798i | 0.00336312 | − | 0.00496024i | ||||
\(209\) | −3729.09 | − | 2243.72i | −1.23419 | − | 0.742590i | ||||
\(210\) | −641.163 | + | 2309.26i | −0.210688 | + | 0.758830i | ||||
\(211\) | −170.250 | − | 613.184i | −0.0555473 | − | 0.200063i | 0.930570 | − | 0.366114i | \(-0.119312\pi\) |
−0.986117 | + | 0.166051i | \(0.946898\pi\) | |||||||
\(212\) | −1343.59 | + | 808.410i | −0.435274 | + | 0.261895i | ||||
\(213\) | −84.9117 | + | 1566.10i | −0.0273148 | + | 0.503792i | ||||
\(214\) | 1836.76 | − | 618.876i | 0.586721 | − | 0.197689i | ||||
\(215\) | −337.568 | − | 636.721i | −0.107079 | − | 0.201972i | ||||
\(216\) | 316.318 | + | 372.398i | 0.0996421 | + | 0.117308i | ||||
\(217\) | 3705.26 | + | 5464.85i | 1.15912 | + | 1.70958i | ||||
\(218\) | −16.6114 | − | 306.378i | −0.00516084 | − | 0.0951861i | ||||
\(219\) | 515.706 | + | 1294.33i | 0.159124 | + | 0.399372i | ||||
\(220\) | 6534.99 | + | 3023.41i | 2.00268 | + | 0.926537i | ||||
\(221\) | −45.9104 | + | 10.1056i | −0.0139741 | + | 0.00307592i | ||||
\(222\) | −310.053 | + | 584.822i | −0.0937360 | + | 0.176805i | ||||
\(223\) | 851.893 | − | 5196.32i | 0.255816 | − | 1.56041i | −0.476333 | − | 0.879265i | \(-0.658034\pi\) |
0.732149 | − | 0.681144i | \(-0.238517\pi\) | |||||||
\(224\) | −4438.38 | + | 3373.97i | −1.32389 | + | 1.00640i | ||||
\(225\) | 2462.58 | − | 1139.31i | 0.729654 | − | 0.337574i | ||||
\(226\) | 615.228 | + | 582.774i | 0.181081 | + | 0.171529i | ||||
\(227\) | 378.840 | + | 2310.82i | 0.110769 | + | 0.675658i | 0.982583 | + | 0.185823i | \(0.0594950\pi\) |
−0.871815 | + | 0.489836i | \(0.837057\pi\) | |||||||
\(228\) | −1465.55 | − | 493.802i | −0.425695 | − | 0.143433i | ||||
\(229\) | −762.899 | + | 1914.73i | −0.220148 | + | 0.552529i | −0.997021 | − | 0.0771277i | \(-0.975425\pi\) |
0.776874 | + | 0.629657i | \(0.216804\pi\) | |||||||
\(230\) | −3033.95 | + | 2873.91i | −0.869795 | + | 0.823914i | ||||
\(231\) | −3995.88 | − | 3037.59i | −1.13814 | − | 0.865189i | ||||
\(232\) | −3802.05 | − | 836.895i | −1.07593 | − | 0.236831i | ||||
\(233\) | 2170.17 | − | 2554.93i | 0.610184 | − | 0.718364i | −0.367128 | − | 0.930171i | \(-0.619659\pi\) |
0.977312 | + | 0.211807i | \(0.0679347\pi\) | |||||||
\(234\) | −7.02747 | − | 0.764284i | −0.00196325 | − | 0.000213516i | ||||
\(235\) | 2526.85 | 0.701419 | ||||||||
\(236\) | −2228.60 | − | 1874.95i | −0.614702 | − | 0.517155i | ||||
\(237\) | 1550.22 | 0.424884 | ||||||||
\(238\) | 2887.25 | + | 314.007i | 0.786354 | + | 0.0855212i | ||||
\(239\) | 3685.39 | − | 4338.77i | 0.997438 | − | 1.17428i | 0.0127557 | − | 0.999919i | \(-0.495940\pi\) |
0.984683 | − | 0.174356i | \(-0.0557845\pi\) | |||||||
\(240\) | 1737.22 | + | 382.391i | 0.467238 | + | 0.102847i | ||||
\(241\) | 805.465 | + | 612.299i | 0.215289 | + | 0.163658i | 0.707261 | − | 0.706953i | \(-0.249931\pi\) |
−0.491972 | + | 0.870611i | \(0.663724\pi\) | |||||||
\(242\) | 1468.55 | − | 1391.08i | 0.390091 | − | 0.369514i | ||||
\(243\) | −89.9436 | + | 225.741i | −0.0237444 | + | 0.0595939i | ||||
\(244\) | −2695.20 | − | 908.117i | −0.707140 | − | 0.238263i | ||||
\(245\) | −2031.35 | − | 12390.7i | −0.529707 | − | 3.23107i | ||||
\(246\) | −637.834 | − | 604.188i | −0.165312 | − | 0.156592i | ||||
\(247\) | 45.5842 | − | 21.0895i | 0.0117427 | − | 0.00543276i | ||||
\(248\) | −3084.48 | + | 2344.76i | −0.789776 | + | 0.600372i | ||||
\(249\) | −259.004 | + | 1579.85i | −0.0659184 | + | 0.402085i | ||||
\(250\) | −2141.51 | + | 4039.31i | −0.541763 | + | 1.02187i | ||||
\(251\) | 1126.44 | − | 247.947i | 0.283267 | − | 0.0623518i | −0.0710642 | − | 0.997472i | \(-0.522640\pi\) |
0.354331 | + | 0.935120i | \(0.384708\pi\) | |||||||
\(252\) | −1618.78 | − | 748.929i | −0.404658 | − | 0.187215i | ||||
\(253\) | −3239.58 | − | 8130.72i | −0.805022 | − | 2.02045i | ||||
\(254\) | −144.568 | − | 2666.40i | −0.0357126 | − | 0.658680i | ||||
\(255\) | −2610.31 | − | 3849.92i | −0.641035 | − | 0.945455i | ||||
\(256\) | −1162.41 | − | 1368.49i | −0.283790 | − | 0.334104i | ||||
\(257\) | −1332.39 | − | 2513.15i | −0.323393 | − | 0.609984i | 0.667504 | − | 0.744606i | \(-0.267363\pi\) |
−0.990897 | + | 0.134622i | \(0.957018\pi\) | |||||||
\(258\) | −124.449 | + | 41.9318i | −0.0300305 | + | 0.0101184i | ||||
\(259\) | 293.666 | − | 5416.35i | 0.0704537 | − | 1.29944i | ||||
\(260\) | −71.2045 | + | 42.8423i | −0.0169843 | + | 0.0102191i | ||||
\(261\) | −517.974 | − | 1865.57i | −0.122842 | − | 0.442437i | ||||
\(262\) | −358.680 | + | 1291.85i | −0.0845775 | + | 0.304620i | ||||
\(263\) | −120.763 | − | 72.6605i | −0.0283139 | − | 0.0170359i | 0.501327 | − | 0.865258i | \(-0.332846\pi\) |
−0.529640 | + | 0.848222i | \(0.677673\pi\) | |||||||
\(264\) | 1652.96 | − | 2437.93i | 0.385351 | − | 0.568350i | ||||
\(265\) | 5009.37 | − | 544.801i | 1.16122 | − | 0.126290i | ||||
\(266\) | −3084.82 | + | 335.494i | −0.711062 | + | 0.0773326i | ||||
\(267\) | −999.519 | + | 1474.18i | −0.229100 | + | 0.337897i | ||||
\(268\) | 125.104 | + | 75.2729i | 0.0285148 | + | 0.0171568i | ||||
\(269\) | −422.825 | + | 1522.88i | −0.0958367 | + | 0.345173i | −0.995886 | − | 0.0906156i | \(-0.971117\pi\) |
0.900049 | + | 0.435788i | \(0.143530\pi\) | |||||||
\(270\) | −187.120 | − | 673.947i | −0.0421770 | − | 0.151908i | ||||
\(271\) | −1535.57 | + | 923.922i | −0.344204 | + | 0.207101i | −0.677150 | − | 0.735845i | \(-0.736785\pi\) |
0.332946 | + | 0.942946i | \(0.391957\pi\) | |||||||
\(272\) | 116.702 | − | 2152.43i | 0.0260150 | − | 0.479818i | ||||
\(273\) | 54.8953 | − | 18.4964i | 0.0121700 | − | 0.00410055i | ||||
\(274\) | 1234.69 | + | 2328.88i | 0.272229 | + | 0.513478i | ||||
\(275\) | −10589.3 | − | 12466.7i | −2.32203 | − | 2.73370i | ||||
\(276\) | −1745.38 | − | 2574.24i | −0.380650 | − | 0.561417i | ||||
\(277\) | 184.671 | + | 3406.07i | 0.0400572 | + | 0.738811i | 0.947718 | + | 0.319108i | \(0.103383\pi\) |
−0.907661 | + | 0.419703i | \(0.862134\pi\) | |||||||
\(278\) | 856.776 | + | 2150.35i | 0.184842 | + | 0.463918i | ||||
\(279\) | −1748.83 | − | 809.093i | −0.375267 | − | 0.173617i | ||||
\(280\) | 11255.5 | − | 2477.52i | 2.40230 | − | 0.528786i | ||||
\(281\) | −58.1452 | + | 109.674i | −0.0123440 | + | 0.0232832i | −0.889607 | − | 0.456726i | \(-0.849022\pi\) |
0.877263 | + | 0.480009i | \(0.159367\pi\) | |||||||
\(282\) | 74.4929 | − | 454.387i | 0.0157305 | − | 0.0959515i | ||||
\(283\) | −6383.52 | + | 4852.63i | −1.34085 | + | 1.01929i | −0.344084 | + | 0.938939i | \(0.611811\pi\) |
−0.996767 | + | 0.0803496i | \(0.974396\pi\) | |||||||
\(284\) | 3049.25 | − | 1410.73i | 0.637111 | − | 0.294759i | ||||
\(285\) | 3607.98 | + | 3417.66i | 0.749889 | + | 0.710332i | ||||
\(286\) | 6.89410 | + | 42.0521i | 0.00142537 | + | 0.00869439i | ||||
\(287\) | 6822.69 | + | 2298.83i | 1.40324 | + | 0.472808i | ||||
\(288\) | 602.250 | − | 1511.53i | 0.123222 | − | 0.309264i | ||||
\(289\) | −525.377 | + | 497.663i | −0.106936 | + | 0.101295i | ||||
\(290\) | 4436.57 | + | 3372.59i | 0.898360 | + | 0.682915i | ||||
\(291\) | −4658.03 | − | 1025.31i | −0.938346 | − | 0.206546i | ||||
\(292\) | 1932.21 | − | 2274.77i | 0.387240 | − | 0.455894i | ||||
\(293\) | 6207.65 | + | 675.123i | 1.23773 | + | 0.134611i | 0.703480 | − | 0.710715i | \(-0.251629\pi\) |
0.534250 | + | 0.845326i | \(0.320594\pi\) | |||||||
\(294\) | −2288.02 | −0.453878 | ||||||||
\(295\) | 3969.81 | + | 8475.35i | 0.783496 | + | 1.67273i | ||||
\(296\) | 3183.10 | 0.625047 | ||||||||
\(297\) | 1456.29 | + | 158.381i | 0.284520 | + | 0.0309434i | ||||
\(298\) | −1396.54 | + | 1644.14i | −0.271475 | + | 0.319606i | ||||
\(299\) | 98.6477 | + | 21.7140i | 0.0190801 | + | 0.00419984i | ||||
\(300\) | −4627.26 | − | 3517.55i | −0.890516 | − | 0.676953i | ||||
\(301\) | 781.285 | − | 740.072i | 0.149610 | − | 0.141718i | ||||
\(302\) | 98.0395 | − | 246.061i | 0.0186806 | − | 0.0468848i | ||||
\(303\) | 19.3339 | + | 6.51435i | 0.00366569 | + | 0.00123512i | ||||
\(304\) | 372.601 | + | 2272.76i | 0.0702964 | + | 0.428789i | ||||
\(305\) | 6635.19 | + | 6285.19i | 1.24567 | + | 1.17996i | ||||
\(306\) | −769.258 | + | 355.897i | −0.143711 | + | 0.0664878i | ||||
\(307\) | −615.958 | + | 468.239i | −0.114510 | + | 0.0870483i | −0.660862 | − | 0.750507i | \(-0.729809\pi\) |
0.546352 | + | 0.837556i | \(0.316016\pi\) | |||||||
\(308\) | −1739.53 | + | 10610.6i | −0.321814 | + | 1.96298i | ||||
\(309\) | 1001.35 | − | 1888.75i | 0.184353 | − | 0.347726i | ||||
\(310\) | 5416.70 | − | 1192.31i | 0.992413 | − | 0.218447i | ||||
\(311\) | −3402.94 | − | 1574.37i | −0.620461 | − | 0.287056i | 0.0843665 | − | 0.996435i | \(-0.473113\pi\) |
−0.704827 | + | 0.709379i | \(0.748975\pi\) | |||||||
\(312\) | 12.5822 | + | 31.5789i | 0.00228309 | + | 0.00573013i | ||||
\(313\) | −459.010 | − | 8465.93i | −0.0828906 | − | 1.52883i | −0.683894 | − | 0.729581i | \(-0.739715\pi\) |
0.601004 | − | 0.799246i | \(-0.294768\pi\) | |||||||
\(314\) | −1690.03 | − | 2492.61i | −0.303739 | − | 0.447982i | ||||
\(315\) | 3710.63 | + | 4368.49i | 0.663715 | + | 0.781386i | ||||
\(316\) | −1555.50 | − | 2933.98i | −0.276910 | − | 0.522309i | ||||
\(317\) | 6819.79 | − | 2297.86i | 1.20832 | − | 0.407131i | 0.358163 | − | 0.933659i | \(-0.383403\pi\) |
0.850158 | + | 0.526528i | \(0.176507\pi\) | |||||||
\(318\) | 49.7108 | − | 916.863i | 0.00876618 | − | 0.161683i | ||||
\(319\) | −10001.0 | + | 6017.37i | −1.75532 | + | 1.05614i | ||||
\(320\) | −16.0847 | − | 57.9318i | −0.00280988 | − | 0.0101203i | ||||
\(321\) | 1240.10 | − | 4466.45i | 0.215626 | − | 0.776613i | ||||
\(322\) | −5347.14 | − | 3217.27i | −0.925418 | − | 0.556805i | ||||
\(323\) | 3379.68 | − | 4984.66i | 0.582200 | − | 0.858681i | ||||
\(324\) | 517.494 | − | 56.2808i | 0.0887335 | − | 0.00965035i | ||||
\(325\) | 187.666 | − | 20.4099i | 0.0320303 | − | 0.00348351i | ||||
\(326\) | −883.296 | + | 1302.76i | −0.150065 | + | 0.221329i | ||||
\(327\) | −628.766 | − | 378.316i | −0.106333 | − | 0.0639784i | ||||
\(328\) | −1130.27 | + | 4070.87i | −0.190271 | + | 0.685293i | ||||
\(329\) | 1009.46 | + | 3635.73i | 0.169158 | + | 0.609253i | ||||
\(330\) | −3612.89 | + | 2173.80i | −0.602676 | + | 0.362618i | ||||
\(331\) | −209.752 | + | 3868.65i | −0.0348309 | + | 0.642418i | 0.928044 | + | 0.372470i | \(0.121489\pi\) |
−0.962875 | + | 0.269947i | \(0.912994\pi\) | |||||||
\(332\) | 3249.95 | − | 1095.04i | 0.537242 | − | 0.181018i | ||||
\(333\) | 741.517 | + | 1398.65i | 0.122027 | + | 0.230167i | ||||
\(334\) | 1864.37 | + | 2194.90i | 0.305430 | + | 0.359580i | ||||
\(335\) | −263.300 | − | 388.338i | −0.0429421 | − | 0.0633349i | ||||
\(336\) | 143.806 | + | 2652.34i | 0.0233490 | + | 0.430647i | ||||
\(337\) | 4049.22 | + | 10162.8i | 0.654525 | + | 1.64273i | 0.761260 | + | 0.648446i | \(0.224581\pi\) |
−0.106735 | + | 0.994287i | \(0.534040\pi\) | |||||||
\(338\) | 2500.76 | + | 1156.97i | 0.402435 | + | 0.186186i | ||||
\(339\) | 1979.31 | − | 435.678i | 0.317113 | − | 0.0698018i | ||||
\(340\) | −4667.25 | + | 8803.36i | −0.744462 | + | 1.40420i | ||||
\(341\) | −1879.27 | + | 11463.0i | −0.298440 | + | 1.82040i | ||||
\(342\) | 720.941 | − | 548.045i | 0.113988 | − | 0.0866517i | ||||
\(343\) | 7416.81 | − | 3431.38i | 1.16755 | − | 0.540166i | ||||
\(344\) | 458.475 | + | 434.290i | 0.0718585 | + | 0.0680679i | ||||
\(345\) | 1616.93 | + | 9862.82i | 0.252326 | + | 1.53912i | ||||
\(346\) | 2966.96 | + | 999.685i | 0.460996 | + | 0.155328i | ||||
\(347\) | −1811.74 | + | 4547.12i | −0.280286 | + | 0.703465i | 0.719672 | + | 0.694314i | \(0.244292\pi\) |
−0.999958 | + | 0.00915065i | \(0.997087\pi\) | |||||||
\(348\) | −3011.09 | + | 2852.26i | −0.463826 | + | 0.439360i | ||||
\(349\) | −5759.63 | − | 4378.35i | −0.883398 | − | 0.671541i | 0.0617830 | − | 0.998090i | \(-0.480321\pi\) |
−0.945181 | + | 0.326548i | \(0.894114\pi\) | |||||||
\(350\) | −11389.8 | − | 2507.09i | −1.73946 | − | 0.382885i | ||||
\(351\) | −10.9446 | + | 12.8850i | −0.00166433 | + | 0.00195941i | ||||
\(352\) | −9751.11 | − | 1060.50i | −1.47652 | − | 0.160582i | ||||
\(353\) | −4947.16 | −0.745923 | −0.372961 | − | 0.927847i | \(-0.621658\pi\) | ||||
−0.372961 | + | 0.927847i | \(0.621658\pi\) | |||||||
\(354\) | 1641.10 | − | 464.007i | 0.246394 | − | 0.0696658i | ||||
\(355\) | −10796.6 | −1.61416 | ||||||||
\(356\) | 3792.99 | + | 412.513i | 0.564686 | + | 0.0614133i | ||||
\(357\) | 4496.62 | − | 5293.83i | 0.666628 | − | 0.784815i | ||||
\(358\) | 3187.08 | + | 701.530i | 0.470510 | + | 0.103567i | ||||
\(359\) | −6671.00 | − | 5071.17i | −0.980730 | − | 0.745532i | −0.0136247 | − | 0.999907i | \(-0.504337\pi\) |
−0.967106 | + | 0.254375i | \(0.918130\pi\) | |||||||
\(360\) | −2441.88 | + | 2313.07i | −0.357496 | + | 0.338638i | ||||
\(361\) | 157.126 | − | 394.356i | 0.0229080 | − | 0.0574947i | ||||
\(362\) | −2308.46 | − | 777.810i | −0.335165 | − | 0.112930i | ||||
\(363\) | −782.655 | − | 4773.98i | −0.113165 | − | 0.690273i | ||||
\(364\) | −90.0889 | − | 85.3367i | −0.0129724 | − | 0.0122881i | ||||
\(365\) | −8704.66 | + | 4027.20i | −1.24828 | + | 0.577516i | ||||
\(366\) | 1325.83 | − | 1007.87i | 0.189351 | − | 0.143941i | ||||
\(367\) | 1955.28 | − | 11926.7i | 0.278106 | − | 1.69637i | −0.365335 | − | 0.930876i | \(-0.619045\pi\) |
0.643441 | − | 0.765496i | \(-0.277506\pi\) | |||||||
\(368\) | −2169.54 | + | 4092.19i | −0.307324 | + | 0.579674i | ||||
\(369\) | −2052.03 | + | 451.687i | −0.289498 | + | 0.0637233i | ||||
\(370\) | −4135.46 | − | 1913.27i | −0.581061 | − | 0.268827i | ||||
\(371\) | 2785.08 | + | 6990.03i | 0.389742 | + | 0.978179i | ||||
\(372\) | 223.473 | + | 4121.72i | 0.0311466 | + | 0.574466i | ||||
\(373\) | 682.292 | + | 1006.31i | 0.0947124 | + | 0.139690i | 0.872093 | − | 0.489340i | \(-0.162762\pi\) |
−0.777381 | + | 0.629031i | \(0.783452\pi\) | |||||||
\(374\) | 3307.86 | + | 3894.32i | 0.457341 | + | 0.538424i | ||||
\(375\) | 5121.59 | + | 9660.35i | 0.705274 | + | 1.33029i | ||||
\(376\) | −2098.33 | + | 707.009i | −0.287800 | + | 0.0969713i | ||||
\(377\) | 7.29255 | − | 134.503i | 0.000996248 | − | 0.0183747i | ||||
\(378\) | 894.949 | − | 538.473i | 0.121776 | − | 0.0732700i | ||||
\(379\) | −2248.84 | − | 8099.59i | −0.304789 | − | 1.09775i | −0.944331 | − | 0.328996i | \(-0.893290\pi\) |
0.639542 | − | 0.768756i | \(-0.279124\pi\) | |||||||
\(380\) | 2848.08 | − | 10257.9i | 0.384483 | − | 1.38478i | ||||
\(381\) | −5472.13 | − | 3292.47i | −0.735815 | − | 0.442725i | ||||
\(382\) | −2069.39 | + | 3052.12i | −0.277171 | + | 0.408796i | ||||
\(383\) | −3701.08 | + | 402.517i | −0.493776 | + | 0.0537014i | −0.351620 | − | 0.936143i | \(-0.614369\pi\) |
−0.142156 | + | 0.989844i | \(0.545404\pi\) | |||||||
\(384\) | −4324.38 | + | 470.304i | −0.574681 | + | 0.0625003i | ||||
\(385\) | 19390.4 | − | 28598.7i | 2.56682 | − | 3.78578i | ||||
\(386\) | −1273.66 | − | 766.337i | −0.167947 | − | 0.101051i | ||||
\(387\) | −84.0229 | + | 302.623i | −0.0110365 | + | 0.0397499i | ||||
\(388\) | 2733.37 | + | 9844.71i | 0.357644 | + | 1.28812i | ||||
\(389\) | 3274.89 | − | 1970.44i | 0.426848 | − | 0.256826i | −0.285882 | − | 0.958265i | \(-0.592286\pi\) |
0.712729 | + | 0.701439i | \(0.247459\pi\) | |||||||
\(390\) | 2.63447 | − | 48.5899i | 0.000342055 | − | 0.00630883i | ||||
\(391\) | 11477.5 | − | 3867.22i | 1.48451 | − | 0.500189i | ||||
\(392\) | 5153.76 | + | 9721.02i | 0.664041 | + | 1.25251i | ||||
\(393\) | 2075.80 | + | 2443.82i | 0.266438 | + | 0.313676i | ||||
\(394\) | 660.309 | + | 973.882i | 0.0844311 | + | 0.124527i | ||||
\(395\) | 577.741 | + | 10655.8i | 0.0735932 | + | 1.35735i | ||||
\(396\) | −1161.49 | − | 2915.13i | −0.147392 | − | 0.369926i | ||||
\(397\) | −7432.94 | − | 3438.85i | −0.939669 | − | 0.434737i | −0.110589 | − | 0.993866i | \(-0.535274\pi\) |
−0.829081 | + | 0.559129i | \(0.811136\pi\) | |||||||
\(398\) | 3011.19 | − | 662.812i | 0.379239 | − | 0.0834768i | ||||
\(399\) | −3476.11 | + | 6556.63i | −0.436148 | + | 0.822662i | ||||
\(400\) | −1400.40 | + | 8542.05i | −0.175050 | + | 1.06776i | ||||
\(401\) | 6652.79 | − | 5057.32i | 0.828490 | − | 0.629802i | −0.102546 | − | 0.994728i | \(-0.532699\pi\) |
0.931036 | + | 0.364927i | \(0.118906\pi\) | |||||||
\(402\) | −77.5945 | + | 35.8991i | −0.00962702 | + | 0.00445394i | ||||
\(403\) | −97.3261 | − | 92.1922i | −0.0120302 | − | 0.0113956i | ||||
\(404\) | −7.07054 | − | 43.1284i | −0.000870724 | − | 0.00531118i | ||||
\(405\) | −1585.21 | − | 534.119i | −0.194493 | − | 0.0655323i | ||||
\(406\) | −3080.25 | + | 7730.84i | −0.376527 | + | 0.945012i | ||||
\(407\) | 6928.27 | − | 6562.81i | 0.843788 | − | 0.799279i | ||||
\(408\) | 3244.83 | + | 2466.66i | 0.393733 | + | 0.299308i | ||||
\(409\) | 10802.5 | + | 2377.82i | 1.30599 | + | 0.287471i | 0.812848 | − | 0.582477i | \(-0.197916\pi\) |
0.493145 | + | 0.869947i | \(0.335847\pi\) | |||||||
\(410\) | 3915.32 | − | 4609.47i | 0.471619 | − | 0.555233i | ||||
\(411\) | 6267.10 | + | 681.589i | 0.752149 | + | 0.0818012i | ||||
\(412\) | −4579.46 | −0.547607 | ||||||||
\(413\) | −10608.8 | + | 9097.76i | −1.26398 | + | 1.08395i | ||||
\(414\) | 1821.23 | 0.216205 | ||||||||
\(415\) | −10956.0 | − | 1191.54i | −1.29593 | − | 0.140941i | ||||
\(416\) | 73.2838 | − | 86.2764i | 0.00863710 | − | 0.0101684i | ||||
\(417\) | 5406.48 | + | 1190.06i | 0.634908 | + | 0.139754i | ||||
\(418\) | −4346.05 | − | 3303.78i | −0.508545 | − | 0.386586i | ||||
\(419\) | 1052.08 | − | 996.582i | 0.122667 | − | 0.116196i | −0.623908 | − | 0.781498i | \(-0.714456\pi\) |
0.746574 | + | 0.665302i | \(0.231697\pi\) | |||||||
\(420\) | 4544.65 | − | 11406.2i | 0.527991 | − | 1.32516i | ||||
\(421\) | −4966.02 | − | 1673.25i | −0.574890 | − | 0.193703i | 0.0168133 | − | 0.999859i | \(-0.494648\pi\) |
−0.591704 | + | 0.806156i | \(0.701544\pi\) | |||||||
\(422\) | −129.147 | − | 787.759i | −0.0148975 | − | 0.0908709i | ||||
\(423\) | −799.473 | − | 757.301i | −0.0918953 | − | 0.0870479i | ||||
\(424\) | −4007.41 | + | 1854.02i | −0.459002 | + | 0.212357i | ||||
\(425\) | 18019.4 | − | 13698.0i | 2.05663 | − | 1.56341i | ||||
\(426\) | −318.291 | + | 1941.49i | −0.0362001 | + | 0.220811i | ||||
\(427\) | −6392.67 | + | 12057.9i | −0.724504 | + | 1.36656i | ||||
\(428\) | −9697.64 | + | 2134.61i | −1.09522 | + | 0.241076i | ||||
\(429\) | 92.4944 | + | 42.7925i | 0.0104095 | + | 0.00481594i | ||||
\(430\) | −334.608 | − | 839.804i | −0.0375262 | − | 0.0941836i | ||||
\(431\) | 766.289 | + | 14133.4i | 0.0856400 | + | 1.57954i | 0.653832 | + | 0.756640i | \(0.273160\pi\) |
−0.568192 | + | 0.822896i | \(0.692357\pi\) | |||||||
\(432\) | −435.038 | − | 641.634i | −0.0484509 | − | 0.0714597i | ||||
\(433\) | −6003.02 | − | 7067.30i | −0.666251 | − | 0.784371i | 0.320389 | − | 0.947286i | \(-0.396186\pi\) |
−0.986640 | + | 0.162915i | \(0.947910\pi\) | |||||||
\(434\) | 3879.47 | + | 7317.45i | 0.429079 | + | 0.809329i | ||||
\(435\) | 12630.4 | − | 4255.69i | 1.39214 | − | 0.469068i | ||||
\(436\) | −85.1025 | + | 1569.62i | −0.00934787 | + | 0.172411i | ||||
\(437\) | −11088.0 | + | 6671.42i | −1.21375 | + | 0.730292i | ||||
\(438\) | 467.567 | + | 1684.03i | 0.0510074 | + | 0.183712i | ||||
\(439\) | 2106.61 | − | 7587.32i | 0.229027 | − | 0.824881i | −0.756303 | − | 0.654222i | \(-0.772996\pi\) |
0.985330 | − | 0.170660i | \(-0.0545899\pi\) | |||||||
\(440\) | 17373.8 | + | 10453.4i | 1.88241 | + | 1.13261i | ||||
\(441\) | −3070.81 | + | 4529.11i | −0.331585 | + | 0.489052i | ||||
\(442\) | −58.6230 | + | 6.37563i | −0.00630862 | + | 0.000686104i | ||||
\(443\) | −12816.4 | + | 1393.87i | −1.37455 | + | 0.149491i | −0.765395 | − | 0.643560i | \(-0.777456\pi\) |
−0.609154 | + | 0.793052i | \(0.708491\pi\) | |||||||
\(444\) | 1903.08 | − | 2806.83i | 0.203414 | − | 0.300014i | ||||
\(445\) | −10505.6 | − | 6321.03i | −1.11914 | − | 0.673361i | ||||
\(446\) | 1767.10 | − | 6364.51i | 0.187611 | − | 0.675714i | ||||
\(447\) | 1380.21 | + | 4971.08i | 0.146044 | + | 0.526005i | ||||
\(448\) | 76.9288 | − | 46.2865i | 0.00811283 | − | 0.00488133i | ||||
\(449\) | 109.003 | − | 2010.44i | 0.0114570 | − | 0.211311i | −0.987199 | − | 0.159491i | \(-0.949015\pi\) |
0.998656 | − | 0.0518206i | \(-0.0165024\pi\) | |||||||
\(450\) | 3225.47 | − | 1086.79i | 0.337889 | − | 0.113848i | ||||
\(451\) | 5933.05 | + | 11190.9i | 0.619460 | + | 1.16843i | ||||
\(452\) | −2810.62 | − | 3308.92i | −0.292479 | − | 0.344333i | ||||
\(453\) | −355.492 | − | 524.312i | −0.0368708 | − | 0.0543804i | ||||
\(454\) | 159.027 | + | 2933.08i | 0.0164394 | + | 0.303207i | ||||
\(455\) | 147.598 | + | 370.442i | 0.0152077 | + | 0.0381684i | ||||
\(456\) | −3952.37 | − | 1828.56i | −0.405892 | − | 0.187786i | ||||
\(457\) | 3330.55 | − | 733.109i | 0.340911 | − | 0.0750403i | −0.0412151 | − | 0.999150i | \(-0.513123\pi\) |
0.382127 | + | 0.924110i | \(0.375192\pi\) | |||||||
\(458\) | −1211.06 | + | 2284.29i | −0.123557 | + | 0.233052i | ||||
\(459\) | −327.948 | + | 2000.39i | −0.0333492 | + | 0.203421i | ||||
\(460\) | 17044.2 | − | 12956.6i | 1.72758 | − | 1.31328i | ||||
\(461\) | 463.874 | − | 214.611i | 0.0468650 | − | 0.0216821i | −0.396317 | − | 0.918114i | \(-0.629712\pi\) |
0.443182 | + | 0.896432i | \(0.353850\pi\) | |||||||
\(462\) | −4571.08 | − | 4329.95i | −0.460315 | − | 0.436034i | ||||
\(463\) | −651.578 | − | 3974.45i | −0.0654025 | − | 0.398938i | −0.999158 | − | 0.0410264i | \(-0.986937\pi\) |
0.933756 | − | 0.357911i | \(-0.116511\pi\) | |||||||
\(464\) | 5853.31 | + | 1972.21i | 0.585631 | + | 0.197322i | ||||
\(465\) | 4909.74 | − | 12322.5i | 0.489642 | − | 1.22891i | ||||
\(466\) | 3052.82 | − | 2891.78i | 0.303474 | − | 0.287466i | ||||
\(467\) | −8658.21 | − | 6581.80i | −0.857932 | − | 0.652183i | 0.0808383 | − | 0.996727i | \(-0.474240\pi\) |
−0.938770 | + | 0.344545i | \(0.888033\pi\) | |||||||
\(468\) | 35.3684 | + | 7.78518i | 0.00349339 | + | 0.000768953i | ||||
\(469\) | 453.570 | − | 533.984i | 0.0446566 | − | 0.0525738i | ||||
\(470\) | 3151.10 | + | 342.703i | 0.309254 | + | 0.0336334i | ||||
\(471\) | −7202.33 | −0.704598 | ||||||||
\(472\) | −5667.98 | − | 5927.29i | −0.552732 | − | 0.578021i | ||||
\(473\) | 1893.31 | 0.184048 | ||||||||
\(474\) | 1933.20 | + | 210.248i | 0.187330 | + | 0.0203734i | ||||
\(475\) | −15656.2 | + | 18431.9i | −1.51233 | + | 1.78045i | ||||
\(476\) | −14531.2 | − | 3198.55i | −1.39923 | − | 0.307994i | ||||
\(477\) | −1748.20 | − | 1328.95i | −0.167808 | − | 0.127564i | ||||
\(478\) | 5184.29 | − | 4910.82i | 0.496075 | − | 0.469907i | ||||
\(479\) | −899.777 | + | 2258.27i | −0.0858285 | + | 0.215413i | −0.965626 | − | 0.259935i | \(-0.916299\pi\) |
0.879798 | + | 0.475349i | \(0.157678\pi\) | |||||||
\(480\) | 10614.3 | + | 3576.39i | 1.00932 | + | 0.340081i | ||||
\(481\) | 17.8180 | + | 108.685i | 0.00168904 | + | 0.0103027i | ||||
\(482\) | 921.410 | + | 872.806i | 0.0870727 | + | 0.0824797i | ||||
\(483\) | −13545.1 | + | 6266.62i | −1.27603 | + | 0.590354i | ||||
\(484\) | −8250.04 | + | 6271.51i | −0.774797 | + | 0.588985i | ||||
\(485\) | 5311.75 | − | 32400.2i | 0.497307 | − | 3.03344i | ||||
\(486\) | −142.780 | + | 269.311i | −0.0133264 | + | 0.0251362i | ||||
\(487\) | −4664.89 | + | 1026.82i | −0.434058 | + | 0.0955434i | −0.426624 | − | 0.904429i | \(-0.640297\pi\) |
−0.00743377 | + | 0.999972i | \(0.502366\pi\) | |||||||
\(488\) | −7268.53 | − | 3362.78i | −0.674244 | − | 0.311939i | ||||
\(489\) | 1393.31 | + | 3496.94i | 0.128850 | + | 0.323389i | ||||
\(490\) | −852.707 | − | 15727.3i | −0.0786151 | − | 1.44997i | ||||
\(491\) | 2870.13 | + | 4233.13i | 0.263803 | + | 0.389080i | 0.936403 | − | 0.350926i | \(-0.114133\pi\) |
−0.672600 | + | 0.740006i | \(0.734823\pi\) | |||||||
\(492\) | 2913.90 | + | 3430.51i | 0.267009 | + | 0.314348i | ||||
\(493\) | −7565.39 | − | 14269.8i | −0.691132 | − | 1.30361i | ||||
\(494\) | 59.7058 | − | 20.1172i | 0.00543784 | − | 0.00183222i | ||||
\(495\) | −545.935 | + | 10069.2i | −0.0495716 | + | 0.914295i | ||||
\(496\) | 5267.27 | − | 3169.21i | 0.476830 | − | 0.286899i | ||||
\(497\) | −4313.17 | − | 15534.6i | −0.389280 | − | 1.40206i | ||||
\(498\) | −537.256 | + | 1935.02i | −0.0483434 | + | 0.174117i | ||||
\(499\) | 12610.8 | + | 7587.68i | 1.13134 | + | 0.680704i | 0.952911 | − | 0.303249i | \(-0.0980713\pi\) |
0.178428 | + | 0.983953i | \(0.442899\pi\) | |||||||
\(500\) | 13144.4 | − | 19386.5i | 1.17567 | − | 1.73398i | ||||
\(501\) | 6847.00 | − | 744.656i | 0.610582 | − | 0.0664047i | ||||
\(502\) | 1438.35 | − | 156.430i | 0.127882 | − | 0.0139080i | ||||
\(503\) | −10729.2 | + | 15824.4i | −0.951078 | + | 1.40274i | −0.0360485 | + | 0.999350i | \(0.511477\pi\) |
−0.915030 | + | 0.403386i | \(0.867833\pi\) | |||||||
\(504\) | −4303.65 | − | 2589.42i | −0.380357 | − | 0.228853i | ||||
\(505\) | −37.5726 | + | 135.324i | −0.00331081 | + | 0.0119244i | ||||
\(506\) | −2937.18 | − | 10578.8i | −0.258050 | − | 0.929413i | ||||
\(507\) | 5646.54 | − | 3397.41i | 0.494618 | − | 0.297602i | ||||
\(508\) | −740.643 | + | 13660.4i | −0.0646865 | + | 1.19307i | ||||
\(509\) | 10418.0 | − | 3510.22i | 0.907207 | − | 0.305674i | 0.173256 | − | 0.984877i | \(-0.444571\pi\) |
0.733950 | + | 0.679203i | \(0.237675\pi\) | |||||||
\(510\) | −2733.03 | − | 5155.05i | −0.237295 | − | 0.447587i | ||||
\(511\) | −9271.94 | − | 10915.8i | −0.802674 | − | 0.944981i | ||||
\(512\) | 5245.61 | + | 7736.70i | 0.452784 | + | 0.667806i | ||||
\(513\) | −117.255 | − | 2162.64i | −0.0100915 | − | 0.186126i | ||||
\(514\) | −1320.70 | − | 3314.72i | −0.113334 | − | 0.284447i | ||||
\(515\) | 13356.0 | + | 6179.14i | 1.14279 | + | 0.528709i | ||||
\(516\) | 657.061 | − | 144.630i | 0.0560572 | − | 0.0123391i | ||||
\(517\) | −3109.49 | + | 5865.12i | −0.264517 | + | 0.498932i | ||||
\(518\) | 1100.80 | − | 6714.61i | 0.0933717 | − | 0.569542i | ||||
\(519\) | 5960.89 | − | 4531.35i | 0.504151 | − | 0.383245i | ||||
\(520\) | −212.376 | + | 98.2555i | −0.0179102 | + | 0.00828613i | ||||
\(521\) | 8054.47 | + | 7629.60i | 0.677299 | + | 0.641572i | 0.946948 | − | 0.321387i | \(-0.104149\pi\) |
−0.269649 | + | 0.962959i | \(0.586908\pi\) | |||||||
\(522\) | −392.920 | − | 2396.71i | −0.0329457 | − | 0.200960i | ||||
\(523\) | −20632.8 | − | 6952.01i | −1.72507 | − | 0.581243i | −0.730275 | − | 0.683153i | \(-0.760608\pi\) |
−0.994794 | + | 0.101909i | \(0.967505\pi\) | |||||||
\(524\) | 2542.37 | − | 6380.86i | 0.211954 | − | 0.531964i | ||||
\(525\) | −20249.3 | + | 19181.2i | −1.68334 | + | 1.59454i | ||||
\(526\) | −140.742 | − | 106.989i | −0.0116666 | − | 0.00886874i | ||||
\(527\) | −15698.5 | − | 3455.50i | −1.29760 | − | 0.285624i | ||||
\(528\) | −3025.37 | + | 3561.74i | −0.249360 | + | 0.293570i | ||||
\(529\) | −13775.8 | − | 1498.21i | −1.13223 | − | 0.123137i | ||||
\(530\) | 6320.80 | 0.518034 | ||||||||
\(531\) | 1284.06 | − | 3871.29i | 0.104941 | − | 0.316383i | ||||
\(532\) | 15897.2 | 1.29555 | ||||||||
\(533\) | −145.324 | − | 15.8049i | −0.0118099 | − | 0.00128440i | ||||
\(534\) | −1446.38 | + | 1702.81i | −0.117212 | + | 0.137992i | ||||
\(535\) | 31163.4 | + | 6859.58i | 2.51834 | + | 0.554328i | ||||
\(536\) | 327.304 | + | 248.810i | 0.0263757 | + | 0.0200503i | ||||
\(537\) | 5666.13 | − | 5367.25i | 0.455329 | − | 0.431311i | ||||
\(538\) | −733.821 | + | 1841.75i | −0.0588054 | + | 0.147590i | ||||
\(539\) | 31260.0 | + | 10532.7i | 2.49808 | + | 0.841701i | ||||
\(540\) | 579.721 | + | 3536.14i | 0.0461985 | + | 0.281799i | ||||
\(541\) | 5326.97 | + | 5045.98i | 0.423335 | + | 0.401005i | 0.869489 | − | 0.493952i | \(-0.164448\pi\) |
−0.446154 | + | 0.894956i | \(0.647207\pi\) | |||||||
\(542\) | −2040.23 | + | 943.913i | −0.161689 | + | 0.0748054i | ||||
\(543\) | −4637.90 | + | 3525.64i | −0.366540 | + | 0.278637i | ||||
\(544\) | 2195.90 | − | 13394.4i | 0.173067 | − | 1.05566i | ||||
\(545\) | 2366.12 | − | 4462.97i | 0.185969 | − | 0.350775i | ||||
\(546\) | 70.9655 | − | 15.6207i | 0.00556235 | − | 0.00122437i | ||||
\(547\) | 5691.53 | + | 2633.18i | 0.444886 | + | 0.205826i | 0.629525 | − | 0.776980i | \(-0.283250\pi\) |
−0.184639 | + | 0.982806i | \(0.559112\pi\) | |||||||
\(548\) | −4998.46 | − | 12545.2i | −0.389642 | − | 0.977926i | ||||
\(549\) | −215.635 | − | 3977.16i | −0.0167634 | − | 0.309182i | ||||
\(550\) | −11514.5 | − | 16982.7i | −0.892693 | − | 1.31662i | ||||
\(551\) | 11171.6 | + | 13152.3i | 0.863752 | + | 1.01689i | ||||
\(552\) | −4102.32 | − | 7737.80i | −0.316316 | − | 0.596635i | ||||
\(553\) | −15101.2 | + | 5088.19i | −1.16124 | + | 0.391269i | ||||
\(554\) | −231.652 | + | 4272.57i | −0.0177652 | + | 0.327661i | ||||
\(555\) | −9337.60 | + | 5618.25i | −0.714160 | + | 0.429696i | ||||
\(556\) | −3172.57 | − | 11426.5i | −0.241991 | − | 0.871571i | ||||
\(557\) | −6294.78 | + | 22671.7i | −0.478848 | + | 1.72465i | 0.190483 | + | 0.981690i | \(0.438995\pi\) |
−0.669331 | + | 0.742964i | \(0.733419\pi\) | |||||||
\(558\) | −2071.13 | − | 1246.16i | −0.157129 | − | 0.0945415i | ||||
\(559\) | −12.2622 | + | 18.0853i | −0.000927789 | + | 0.00136839i | ||||
\(560\) | −18177.9 | + | 1976.97i | −1.37171 | + | 0.149183i | ||||
\(561\) | 12148.3 | − | 1321.21i | 0.914265 | − | 0.0994323i | ||||
\(562\) | −87.3842 | + | 128.882i | −0.00655886 | + | 0.00967360i | ||||
\(563\) | 6870.92 | + | 4134.09i | 0.514342 | + | 0.309469i | 0.748957 | − | 0.662619i | \(-0.230555\pi\) |
−0.234614 | + | 0.972089i | \(0.575383\pi\) | |||||||
\(564\) | −631.091 | + | 2272.98i | −0.0471165 | + | 0.169698i | ||||
\(565\) | 3732.39 | + | 13442.9i | 0.277917 | + | 1.00097i | ||||
\(566\) | −8618.68 | + | 5185.69i | −0.640053 | + | 0.385107i | ||||
\(567\) | 135.234 | − | 2494.24i | 0.0100164 | − | 0.184741i | ||||
\(568\) | 8965.66 | − | 3020.88i | 0.662308 | − | 0.223157i | ||||
\(569\) | 865.586 | + | 1632.67i | 0.0637737 | + | 0.120290i | 0.913349 | − | 0.407177i | \(-0.133487\pi\) |
−0.849576 | + | 0.527467i | \(0.823142\pi\) | |||||||
\(570\) | 4035.80 | + | 4751.31i | 0.296563 | + | 0.349141i | ||||
\(571\) | −9618.04 | − | 14185.6i | −0.704908 | − | 1.03966i | −0.996539 | − | 0.0831308i | \(-0.973508\pi\) |
0.291630 | − | 0.956531i | \(-0.405802\pi\) | |||||||
\(572\) | −11.8194 | − | 217.995i | −0.000863973 | − | 0.0159350i | ||||
\(573\) | 3264.25 | + | 8192.65i | 0.237986 | + | 0.597300i | ||||
\(574\) | 8196.44 | + | 3792.07i | 0.596015 | + | 0.275746i | ||||
\(575\) | −47498.3 | + | 10455.2i | −3.44490 | + | 0.758280i | ||||
\(576\) | −12.2732 | + | 23.1497i | −0.000887819 | + | 0.00167460i | ||||
\(577\) | 4145.21 | − | 25284.7i | 0.299077 | − | 1.82429i | −0.227051 | − | 0.973883i | \(-0.572908\pi\) |
0.526128 | − | 0.850406i | \(-0.323643\pi\) | |||||||
\(578\) | −722.665 | + | 549.355i | −0.0520050 | + | 0.0395332i | ||||
\(579\) | −3226.37 | + | 1492.68i | −0.231577 | + | 0.107139i | ||||
\(580\) | −20727.9 | − | 19634.5i | −1.48393 | − | 1.40565i | ||||
\(581\) | −2662.41 | − | 16240.0i | −0.190112 | − | 1.15963i | ||||
\(582\) | −5669.73 | − | 1910.35i | −0.403810 | − | 0.136060i | ||||
\(583\) | −4899.88 | + | 12297.8i | −0.348083 | + | 0.873622i | ||||
\(584\) | 6101.65 | − | 5779.79i | 0.432343 | − | 0.409537i | ||||
\(585\) | −92.6472 | − | 70.4286i | −0.00654785 | − | 0.00497754i | ||||
\(586\) | 7649.67 | + | 1683.82i | 0.539257 | + | 0.118700i | ||||
\(587\) | −8502.60 | + | 10010.0i | −0.597853 | + | 0.703847i | −0.974975 | − | 0.222317i | \(-0.928638\pi\) |
0.377121 | + | 0.926164i | \(0.376914\pi\) | |||||||
\(588\) | 11653.2 | + | 1267.36i | 0.817293 | + | 0.0888860i | ||||
\(589\) | 17174.3 | 1.20145 | ||||||||
\(590\) | 3801.07 | + | 11107.6i | 0.265234 | + | 0.775070i | ||||
\(591\) | 2814.00 | 0.195859 | ||||||||
\(592\) | −5020.61 | − | 546.024i | −0.348557 | − | 0.0379079i | ||||
\(593\) | −7120.54 | + | 8382.94i | −0.493095 | + | 0.580516i | −0.951275 | − | 0.308343i | \(-0.900226\pi\) |
0.458180 | + | 0.888859i | \(0.348501\pi\) | |||||||
\(594\) | 1794.58 | + | 395.017i | 0.123960 | + | 0.0272858i | ||||
\(595\) | 38064.2 | + | 28935.7i | 2.62266 | + | 1.99369i | ||||
\(596\) | 8023.48 | − | 7600.24i | 0.551434 | − | 0.522346i | ||||
\(597\) | 2729.36 | − | 6850.18i | 0.187111 | − | 0.469613i | ||||
\(598\) | 120.073 | + | 40.4574i | 0.00821098 | + | 0.00276660i | ||||
\(599\) | −233.032 | − | 1421.43i | −0.0158955 | − | 0.0969585i | 0.977687 | − | 0.210066i | \(-0.0673679\pi\) |
−0.993583 | + | 0.113107i | \(0.963920\pi\) | |||||||
\(600\) | −11882.7 | − | 11255.9i | −0.808519 | − | 0.765869i | ||||
\(601\) | −1961.28 | + | 907.387i | −0.133116 | + | 0.0615858i | −0.485316 | − | 0.874339i | \(-0.661296\pi\) |
0.352201 | + | 0.935925i | \(0.385433\pi\) | |||||||
\(602\) | 1074.67 | − | 816.943i | 0.0727579 | − | 0.0553091i | ||||
\(603\) | −33.0799 | + | 201.778i | −0.00223402 | + | 0.0136269i | ||||
\(604\) | −635.623 | + | 1198.91i | −0.0428197 | + | 0.0807666i | ||||
\(605\) | 32523.4 | − | 7158.95i | 2.18556 | − | 0.481079i | ||||
\(606\) | 23.2268 | + | 10.7459i | 0.00155697 | + | 0.000720331i | ||||
\(607\) | −391.822 | − | 983.398i | −0.0262002 | − | 0.0657577i | 0.915295 | − | 0.402785i | \(-0.131958\pi\) |
−0.941495 | + | 0.337027i | \(0.890578\pi\) | |||||||
\(608\) | 785.122 | + | 14480.7i | 0.0523699 | + | 0.965906i | ||||
\(609\) | 11169.0 | + | 16473.1i | 0.743171 | + | 1.09610i | ||||
\(610\) | 7421.97 | + | 8737.81i | 0.492634 | + | 0.579973i | ||||
\(611\) | −35.8861 | − | 67.6884i | −0.00237610 | − | 0.00448180i | ||||
\(612\) | 4115.06 | − | 1386.53i | 0.271800 | − | 0.0915800i | ||||
\(613\) | 1596.75 | − | 29450.3i | 0.105207 | − | 1.94043i | −0.183505 | − | 0.983019i | \(-0.558744\pi\) |
0.288713 | − | 0.957416i | \(-0.406773\pi\) | |||||||
\(614\) | −831.633 | + | 500.377i | −0.0546612 | + | 0.0328886i | ||||
\(615\) | −3869.54 | − | 13936.8i | −0.253715 | − | 0.913800i | ||||
\(616\) | −8100.16 | + | 29174.1i | −0.529813 | + | 1.90821i | ||||
\(617\) | 4570.74 | + | 2750.12i | 0.298235 | + | 0.179442i | 0.656804 | − | 0.754061i | \(-0.271908\pi\) |
−0.358569 | + | 0.933503i | \(0.616735\pi\) | |||||||
\(618\) | 1504.90 | − | 2219.55i | 0.0979543 | − | 0.144472i | ||||
\(619\) | 13024.5 | − | 1416.49i | 0.845714 | − | 0.0919770i | 0.325006 | − | 0.945712i | \(-0.394634\pi\) |
0.520708 | + | 0.853735i | \(0.325668\pi\) | |||||||
\(620\) | −28248.3 | + | 3072.19i | −1.82981 | + | 0.199004i | ||||
\(621\) | 2444.32 | − | 3605.11i | 0.157951 | − | 0.232960i | ||||
\(622\) | −4030.11 | − | 2424.83i | −0.259795 | − | 0.156313i | ||||
\(623\) | 4898.04 | − | 17641.1i | 0.314985 | − | 1.13447i | ||||
\(624\) | −14.4285 | − | 51.9668i | −0.000925645 | − | 0.00333387i | ||||
\(625\) | −32202.8 | + | 19375.8i | −2.06098 | + | 1.24005i | ||||
\(626\) | 575.782 | − | 10619.7i | 0.0367618 | − | 0.678031i | ||||
\(627\) | −12372.7 | + | 4168.85i | −0.788068 | + | 0.265531i | ||||
\(628\) | 7226.86 | + | 13631.3i | 0.459209 | + | 0.866159i | ||||
\(629\) | 8549.26 | + | 10065.0i | 0.541942 | + | 0.638023i | ||||
\(630\) | 4034.85 | + | 5950.97i | 0.255163 | + | 0.376337i | ||||
\(631\) | −106.265 | − | 1959.95i | −0.00670422 | − | 0.123652i | −0.999970 | − | 0.00779098i | \(-0.997520\pi\) |
0.993265 | − | 0.115861i | \(-0.0369627\pi\) | |||||||
\(632\) | −3461.24 | − | 8687.07i | −0.217850 | − | 0.546761i | ||||
\(633\) | −1732.69 | − | 801.627i | −0.108797 | − | 0.0503346i | ||||
\(634\) | 8816.24 | − | 1940.60i | 0.552268 | − | 0.121563i | ||||
\(635\) | 20592.2 | − | 38841.0i | 1.28689 | − | 2.42734i | ||||
\(636\) | −761.043 | + | 4642.16i | −0.0474486 | + | 0.289424i | ||||
\(637\) | −303.068 | + | 230.387i | −0.0188509 | + | 0.0143301i | ||||
\(638\) | −13287.8 | + | 6147.57i | −0.824557 | + | 0.381481i | ||||
\(639\) | 3415.96 | + | 3235.77i | 0.211476 | + | 0.200321i | ||||
\(640\) | −4844.37 | − | 29549.4i | −0.299204 | − | 1.82506i | ||||
\(641\) | −1475.24 | − | 497.066i | −0.0909024 | − | 0.0306286i | 0.273483 | − | 0.961877i | \(-0.411824\pi\) |
−0.364385 | + | 0.931248i | \(0.618721\pi\) | |||||||
\(642\) | 2152.23 | − | 5401.68i | 0.132308 | − | 0.332067i | ||||
\(643\) | −18128.8 | + | 17172.5i | −1.11187 | + | 1.05322i | −0.113652 | + | 0.993521i | \(0.536255\pi\) |
−0.998217 | + | 0.0596973i | \(0.980986\pi\) | |||||||
\(644\) | 25451.6 | + | 19347.8i | 1.55735 | + | 1.18386i | ||||
\(645\) | −2111.47 | − | 464.769i | −0.128898 | − | 0.0283725i | ||||
\(646\) | 4890.66 | − | 5757.73i | 0.297865 | − | 0.350673i | ||||
\(647\) | 6847.34 | + | 744.693i | 0.416069 | + | 0.0452502i | 0.313760 | − | 0.949502i | \(-0.398411\pi\) |
0.102309 | + | 0.994753i | \(0.467377\pi\) | |||||||
\(648\) | 1465.82 | 0.0888626 | ||||||||
\(649\) | −24557.5 | − | 1215.19i | −1.48531 | − | 0.0734982i | ||||
\(650\) | 236.797 | 0.0142891 | ||||||||
\(651\) | 19691.5 | + | 2141.58i | 1.18552 | + | 0.128933i | ||||
\(652\) | 5220.35 | − | 6145.87i | 0.313565 | − | 0.369157i | ||||
\(653\) | −6222.50 | − | 1369.68i | −0.372902 | − | 0.0820820i | 0.0245652 | − | 0.999698i | \(-0.492180\pi\) |
−0.397468 | + | 0.917616i | \(0.630111\pi\) | |||||||
\(654\) | −732.792 | − | 557.054i | −0.0438141 | − | 0.0333066i | ||||
\(655\) | −16024.6 | + | 15179.3i | −0.955927 | + | 0.905502i | ||||
\(656\) | 2481.05 | − | 6226.98i | 0.147666 | − | 0.370614i | ||||
\(657\) | 3961.04 | + | 1334.63i | 0.235213 | + | 0.0792525i | ||||
\(658\) | 765.744 | + | 4670.83i | 0.0453675 | + | 0.276729i | ||||
\(659\) | −9583.08 | − | 9077.57i | −0.566470 | − | 0.536589i | 0.349970 | − | 0.936761i | \(-0.386192\pi\) |
−0.916440 | + | 0.400172i | \(0.868950\pi\) | |||||||
\(660\) | 19605.0 | − | 9070.23i | 1.15625 | − | 0.534936i | ||||
\(661\) | −5744.19 | + | 4366.62i | −0.338008 | + | 0.256947i | −0.760384 | − | 0.649474i | \(-0.774989\pi\) |
0.422376 | + | 0.906421i | \(0.361196\pi\) | |||||||
\(662\) | −786.254 | + | 4795.94i | −0.0461611 | + | 0.281570i | ||||
\(663\) | −66.0589 | + | 124.600i | −0.00386955 | + | 0.00729875i | ||||
\(664\) | 9431.41 | − | 2076.01i | 0.551220 | − | 0.121333i | ||||
\(665\) | −46364.1 | − | 21450.3i | −2.70364 | − | 1.25084i | ||||
\(666\) | 735.015 | + | 1844.75i | 0.0427646 | + | 0.107331i | ||||
\(667\) | 1878.85 | + | 34653.4i | 0.109070 | + | 2.01167i | ||||
\(668\) | −8279.67 | − | 12211.6i | −0.479566 | − | 0.707307i | ||||
\(669\) | −10226.8 | − | 12039.9i | −0.591018 | − | 0.695800i | ||||
\(670\) | −275.679 | − | 519.986i | −0.0158961 | − | 0.0299833i | ||||
\(671\) | −22753.8 | + | 7666.66i | −1.30909 | + | 0.441085i | ||||
\(672\) | −905.506 | + | 16701.1i | −0.0519801 | + | 0.958717i | ||||
\(673\) | 8989.24 | − | 5408.64i | 0.514873 | − | 0.309789i | −0.234299 | − | 0.972165i | \(-0.575279\pi\) |
0.749172 | + | 0.662376i | \(0.230452\pi\) | |||||||
\(674\) | 3671.24 | + | 13222.6i | 0.209809 | + | 0.755662i | ||||
\(675\) | 2177.70 | − | 7843.38i | 0.124178 | − | 0.447247i | ||||
\(676\) | −12095.8 | − | 7277.80i | −0.688199 | − | 0.414076i | ||||
\(677\) | 11791.3 | − | 17390.9i | 0.669391 | − | 0.987278i | −0.329676 | − | 0.944094i | \(-0.606939\pi\) |
0.999067 | − | 0.0431841i | \(-0.0137502\pi\) | |||||||
\(678\) | 2527.38 | − | 274.869i | 0.143161 | − | 0.0155697i | ||||
\(679\) | 48740.7 | − | 5300.87i | 2.75478 | − | 0.299601i | ||||
\(680\) | −15745.9 | + | 23223.4i | −0.887981 | + | 1.30967i | ||||
\(681\) | 6019.42 | + | 3621.77i | 0.338715 | + | 0.203798i | ||||
\(682\) | −3898.20 | + | 14040.1i | −0.218871 | + | 0.788301i | ||||
\(683\) | −7044.42 | − | 25371.7i | −0.394652 | − | 1.42141i | −0.847963 | − | 0.530056i | \(-0.822171\pi\) |
0.453311 | − | 0.891353i | \(-0.350243\pi\) | |||||||
\(684\) | −3975.41 | + | 2391.92i | −0.222227 | + | 0.133710i | ||||
\(685\) | −2349.42 | + | 43332.5i | −0.131046 | + | 2.41700i | ||||
\(686\) | 9714.48 | − | 3273.19i | 0.540671 | − | 0.182173i | ||||
\(687\) | 2896.34 | + | 5463.07i | 0.160847 | + | 0.303390i | ||||
\(688\) | −648.642 | − | 763.640i | −0.0359437 | − | 0.0423161i | ||||
\(689\) | −85.7366 | − | 126.452i | −0.00474064 | − | 0.00699193i | ||||
\(690\) | 678.743 | + | 12518.7i | 0.0374483 | + | 0.690693i | ||||
\(691\) | −8713.93 | − | 21870.3i | −0.479730 | − | 1.20403i | −0.947378 | − | 0.320117i | \(-0.896278\pi\) |
0.467648 | − | 0.883915i | \(-0.345102\pi\) | |||||||
\(692\) | −14557.3 | − | 6734.95i | −0.799693 | − | 0.369977i | ||||
\(693\) | −14706.0 | + | 3237.04i | −0.806113 | + | 0.177439i | ||||
\(694\) | −2876.02 | + | 5424.75i | −0.157309 | + | 0.296716i | ||||
\(695\) | −6165.23 | + | 37606.3i | −0.336490 | + | 2.05250i | ||||
\(696\) | −9297.74 | + | 7067.95i | −0.506365 | + | 0.384928i | ||||
\(697\) | −15907.8 | + | 7359.73i | −0.864492 | + | 0.399957i | ||||
\(698\) | −6588.71 | − | 6241.16i | −0.357287 | − | 0.338440i | ||||
\(699\) | −1626.98 | − | 9924.15i | −0.0880373 | − | 0.537004i | ||||
\(700\) | 56621.1 | + | 19077.9i | 3.05725 | + | 1.03011i | ||||
\(701\) | 1743.95 | − | 4376.99i | 0.0939632 | − | 0.235830i | −0.874481 | − | 0.485059i | \(-0.838798\pi\) |
0.968444 | + | 0.249229i | \(0.0801773\pi\) | |||||||
\(702\) | −15.3960 | + | 14.5839i | −0.000827755 | + | 0.000784092i | ||||
\(703\) | −11232.5 | − | 8538.69i | −0.602618 | − | 0.458098i | ||||
\(704\) | 154.260 | + | 33.9552i | 0.00825838 | + | 0.00181781i | ||||
\(705\) | 4907.54 | − | 5777.60i | 0.262168 | − | 0.308648i | ||||
\(706\) | −6169.34 | − | 670.956i | −0.328875 | − | 0.0357673i | ||||
\(707\) | −209.720 | −0.0111560 | ||||||||
\(708\) | −8615.33 | + | 1454.22i | −0.457322 | + | 0.0771936i | ||||
\(709\) | 24098.6 | 1.27650 | 0.638252 | − | 0.769827i | \(-0.279658\pi\) | ||||
0.638252 | + | 0.769827i | \(0.279658\pi\) | |||||||
\(710\) | −13463.9 | − | 1464.29i | −0.711678 | − | 0.0773996i | ||||
\(711\) | 3010.77 | − | 3544.56i | 0.158808 | − | 0.186964i | ||||
\(712\) | 10492.6 | + | 2309.60i | 0.552287 | + | 0.121567i | ||||
\(713\) | 27496.2 | + | 20902.1i | 1.44424 | + | 1.09788i | ||||
\(714\) | 6325.46 | − | 5991.80i | 0.331547 | − | 0.314058i | ||||
\(715\) | −259.673 | + | 651.730i | −0.0135821 | + | 0.0340886i | ||||
\(716\) | −15843.6 | − | 5338.34i | −0.826961 | − | 0.278635i | ||||
\(717\) | −2762.94 | − | 16853.2i | −0.143910 | − | 0.877814i | ||||
\(718\) | −7631.28 | − | 7228.73i | −0.396653 | − | 0.375730i | ||||
\(719\) | −11448.8 | + | 5296.76i | −0.593834 | + | 0.274737i | −0.693700 | − | 0.720264i | \(-0.744021\pi\) |
0.0998660 | + | 0.995001i | \(0.468159\pi\) | |||||||
\(720\) | 4248.29 | − | 3229.47i | 0.219895 | − | 0.167160i | ||||
\(721\) | −3555.18 | + | 21685.6i | −0.183636 | + | 1.12013i | ||||
\(722\) | 249.428 | − | 470.470i | 0.0128570 | − | 0.0242508i | ||||
\(723\) | 2964.35 | − | 652.504i | 0.152483 | − | 0.0335641i | ||||
\(724\) | 11326.4 | + | 5240.16i | 0.581413 | + | 0.268990i | ||||
\(725\) | 24006.3 | + | 60251.2i | 1.22975 | + | 3.08645i | ||||
\(726\) | −328.538 | − | 6059.52i | −0.0167950 | − | 0.309766i | ||||
\(727\) | −10494.4 | − | 15478.0i | −0.535370 | − | 0.789612i | 0.459774 | − | 0.888036i | \(-0.347930\pi\) |
−0.995145 | + | 0.0984238i | \(0.968620\pi\) | |||||||
\(728\) | −226.216 | − | 266.322i | −0.0115167 | − | 0.0135585i | ||||
\(729\) | 341.470 | + | 644.080i | 0.0173485 | + | 0.0327227i | ||||
\(730\) | −11401.3 | + | 3841.55i | −0.578056 | + | 0.194770i | ||||
\(731\) | −141.842 | + | 2616.13i | −0.00717678 | + | 0.132368i | ||||
\(732\) | −7310.90 | + | 4398.82i | −0.369151 | + | 0.222111i | ||||
\(733\) | 4468.08 | + | 16092.6i | 0.225146 | + | 0.810904i | 0.986665 | + | 0.162761i | \(0.0520401\pi\) |
−0.761519 | + | 0.648143i | \(0.775546\pi\) | |||||||
\(734\) | 4055.88 | − | 14608.0i | 0.203958 | − | 0.734591i | ||||
\(735\) | −32276.3 | − | 19420.0i | −1.61977 | − | 0.974583i | ||||
\(736\) | −16366.9 | + | 24139.3i | −0.819688 | + | 1.20895i | ||||
\(737\) | 1225.39 | − | 133.269i | 0.0612455 | − | 0.00666084i | ||||
\(738\) | −2620.24 | + | 284.969i | −0.130694 | + | 0.0142139i | ||||
\(739\) | 15810.4 | − | 23318.6i | 0.787003 | − | 1.16074i | −0.196616 | − | 0.980481i | \(-0.562995\pi\) |
0.983619 | − | 0.180261i | \(-0.0576944\pi\) | |||||||
\(740\) | 20002.6 | + | 12035.2i | 0.993664 | + | 0.597868i | ||||
\(741\) | 40.3109 | − | 145.187i | 0.00199846 | − | 0.00719780i | ||||
\(742\) | 2525.11 | + | 9094.62i | 0.124932 | + | 0.449965i | ||||
\(743\) | 14508.7 | − | 8729.60i | 0.716384 | − | 0.431034i | −0.110154 | − | 0.993914i | \(-0.535135\pi\) |
0.826538 | + | 0.562881i | \(0.190307\pi\) | |||||||
\(744\) | −629.286 | + | 11606.5i | −0.0310091 | + | 0.571929i | ||||
\(745\) | −33655.5 | + | 11339.9i | −1.65509 | + | 0.557665i | ||||
\(746\) | 714.370 | + | 1347.44i | 0.0350602 | + | 0.0661306i | ||||
\(747\) | 3109.29 | + | 3660.53i | 0.152293 | + | 0.179293i | ||||
\(748\) | −14690.3 | − | 21666.5i | −0.718087 | − | 1.05910i | ||||
\(749\) | 2579.68 | + | 47579.5i | 0.125847 | + | 2.32112i | ||||
\(750\) | 5076.68 | + | 12741.5i | 0.247166 | + | 0.620339i | ||||
\(751\) | 25886.1 | + | 11976.2i | 1.25778 | + | 0.581913i | 0.931632 | − | 0.363404i | \(-0.118385\pi\) |
0.326153 | + | 0.945317i | \(0.394248\pi\) | |||||||
\(752\) | 3430.91 | − | 755.201i | 0.166373 | − | 0.0366215i | ||||
\(753\) | 1620.79 | − | 3057.13i | 0.0784394 | − | 0.147952i | ||||
\(754\) | 27.3361 | − | 166.743i | 0.00132032 | − | 0.00805359i | ||||
\(755\) | 3471.50 | − | 2638.96i | 0.167339 | − | 0.127208i | ||||
\(756\) | −4856.35 | + | 2246.79i | −0.233629 | + | 0.108088i | ||||
\(757\) | 23090.7 | + | 21872.7i | 1.10865 | + | 1.05017i | 0.998416 | + | 0.0562598i | \(0.0179175\pi\) |
0.110230 | + | 0.993906i | \(0.464841\pi\) | |||||||
\(758\) | −1705.91 | − | 10405.6i | −0.0817431 | − | 0.498611i | ||||
\(759\) | −24882.6 | − | 8383.91i | −1.18996 | − | 0.400944i | ||||
\(760\) | 11096.1 | − | 27849.0i | 0.529601 | − | 1.32920i | ||||
\(761\) | −21520.3 | + | 20385.1i | −1.02511 | + | 0.971037i | −0.999590 | − | 0.0286376i | \(-0.990883\pi\) |
−0.0255211 | + | 0.999674i | \(0.508125\pi\) | |||||||
\(762\) | −6377.45 | − | 4848.02i | −0.303190 | − | 0.230479i | ||||
\(763\) | 7366.74 | + | 1621.54i | 0.349533 | + | 0.0769381i | ||||
\(764\) | 12230.2 | − | 14398.6i | 0.579156 | − | 0.681835i | ||||
\(765\) | −13872.4 | − | 1508.72i | −0.655632 | − | 0.0713042i | ||||
\(766\) | −4670.01 | −0.220280 | ||||||||
\(767\) | 170.656 | − | 226.708i | 0.00803394 | − | 0.0106727i | ||||
\(768\) | −5386.61 | −0.253089 | ||||||||
\(769\) | −13669.1 | − | 1486.61i | −0.640991 | − | 0.0697119i | −0.218149 | − | 0.975916i | \(-0.570002\pi\) |
−0.422842 | + | 0.906204i | \(0.638967\pi\) | |||||||
\(770\) | 28059.4 | − | 33034.1i | 1.31323 | − | 1.54606i | ||||
\(771\) | −8333.99 | − | 1834.45i | −0.389288 | − | 0.0856888i | ||||
\(772\) | 6062.43 | + | 4608.54i | 0.282632 | + | 0.214851i | ||||
\(773\) | 22241.4 | − | 21068.2i | 1.03489 | − | 0.980298i | 0.0350699 | − | 0.999385i | \(-0.488835\pi\) |
0.999818 | + | 0.0190871i | \(0.00607600\pi\) | |||||||
\(774\) | −145.824 | + | 365.989i | −0.00677199 | + | 0.0169964i | ||||
\(775\) | 61169.7 | + | 20610.5i | 2.83520 | + | 0.955290i | ||||
\(776\) | 4654.60 | + | 28391.8i | 0.215322 | + | 1.31341i | ||||
\(777\) | −11814.1 | − | 11190.9i | −0.545466 | − | 0.516693i | ||||
\(778\) | 4351.19 | − | 2013.07i | 0.200511 | − | 0.0927663i | ||||
\(779\) | 14908.6 | − | 11333.2i | 0.685695 | − | 0.521252i | ||||
\(780\) | −40.3321 | + | 246.015i | −0.00185144 | + | 0.0112933i | ||||
\(781\) | 13286.1 | − | 25060.3i | 0.608726 | − | 1.14818i | ||||
\(782\) | 14837.5 | − | 3265.98i | 0.678500 | − | 0.149349i | ||||
\(783\) | −5271.60 | − | 2438.90i | −0.240602 | − | 0.111314i | ||||
\(784\) | −6461.34 | − | 16216.7i | −0.294340 | − | 0.738737i | ||||
\(785\) | −2684.19 | − | 49506.9i | −0.122042 | − | 2.25093i | ||||
\(786\) | 2257.18 | + | 3329.09i | 0.102431 | + | 0.151075i | ||||
\(787\) | −17015.1 | − | 20031.7i | −0.770676 | − | 0.907310i | 0.227107 | − | 0.973870i | \(-0.427073\pi\) |
−0.997782 | + | 0.0665602i | \(0.978798\pi\) | |||||||
\(788\) | −2823.59 | − | 5325.85i | −0.127647 | − | 0.240769i | ||||
\(789\) | −400.677 | + | 135.004i | −0.0180792 | + | 0.00609159i | ||||
\(790\) | −724.718 | + | 13366.6i | −0.0326384 | + | 0.601980i | ||||
\(791\) | −17851.1 | + | 10740.6i | −0.802416 | + | 0.482798i | ||||
\(792\) | −2363.99 | − | 8514.33i | −0.106062 | − | 0.381999i | ||||
\(793\) | 74.1330 | − | 267.003i | 0.00331972 | − | 0.0119566i | ||||
\(794\) | −8802.83 | − | 5296.49i | −0.393452 | − | 0.236732i | ||||
\(795\) | 8483.31 | − | 12511.9i | 0.378455 | − | 0.558180i | ||||
\(796\) | −15703.5 | + | 1707.86i | −0.699240 | + | 0.0760469i | ||||
\(797\) | 1629.30 | − | 177.197i | 0.0724125 | − | 0.00787533i | −0.0718411 | − | 0.997416i | \(-0.522887\pi\) |
0.144254 | + | 0.989541i | \(0.453922\pi\) | |||||||
\(798\) | −5224.11 | + | 7704.98i | −0.231744 | + | 0.341796i | ||||
\(799\) | −7871.31 | − | 4736.01i | −0.348519 | − | 0.209697i | ||||
\(800\) | −14581.6 | + | 52518.2i | −0.644422 | + | 2.32100i | ||||
\(801\) | 1429.47 | + | 5148.48i | 0.0630559 | + | 0.227107i | ||||
\(802\) | 8982.23 | − | 5404.43i | 0.395478 | − | 0.237951i | ||||
\(803\) | 1364.16 | − | 25160.4i | 0.0599502 | − | 1.10572i | ||||
\(804\) | 415.083 | − | 139.858i | 0.0182075 | − | 0.00613483i | ||||
\(805\) | −48123.1 | − | 90769.8i | −2.10698 | − | 3.97418i | ||||
\(806\) | −108.867 | − | 128.168i | −0.00475765 | − | 0.00560114i | ||||
\(807\) | 2660.84 | + | 3924.45i | 0.116067 | + | 0.171186i | ||||
\(808\) | −6.66277 | − | 122.888i | −0.000290093 | − | 0.00535046i | ||||
\(809\) | −9457.42 | − | 23736.3i | −0.411008 | − | 1.03155i | −0.978144 | − | 0.207928i | \(-0.933328\pi\) |
0.567136 | − | 0.823624i | \(-0.308051\pi\) | |||||||
\(810\) | −1904.39 | − | 881.064i | −0.0826091 | − | 0.0382190i | ||||
\(811\) | −4458.70 | + | 981.434i | −0.193053 | + | 0.0424942i | −0.310444 | − | 0.950592i | \(-0.600478\pi\) |
0.117391 | + | 0.993086i | \(0.462547\pi\) | |||||||
\(812\) | 19970.3 | − | 37667.9i | 0.863077 | − | 1.62794i | ||||
\(813\) | −869.787 | + | 5305.46i | −0.0375212 | + | 0.228869i | ||||
\(814\) | 9529.95 | − | 7244.48i | 0.410350 | − | 0.311940i | ||||
\(815\) | −23517.8 | + | 10880.5i | −1.01079 | + | 0.467641i | ||||
\(816\) | −4694.86 | − | 4447.20i | −0.201413 | − | 0.190788i | ||||
\(817\) | −452.869 | − | 2762.38i | −0.0193928 | − | 0.118291i | ||||
\(818\) | 13148.8 | + | 4430.34i | 0.562024 | + | 0.189368i | ||||
\(819\) | 64.3236 | − | 161.440i | 0.00274438 | − | 0.00688788i | ||||
\(820\) | −22494.4 | + | 21307.9i | −0.957976 | + | 0.907443i | ||||
\(821\) | 25577.8 | + | 19443.8i | 1.08730 | + | 0.826543i | 0.985738 | − | 0.168286i | \(-0.0538233\pi\) |
0.101561 | + | 0.994829i | \(0.467616\pi\) | |||||||
\(822\) | 7722.93 | + | 1699.95i | 0.327698 | + | 0.0721319i | ||||
\(823\) | −844.712 | + | 994.472i | −0.0357774 | + | 0.0421204i | −0.779760 | − | 0.626079i | \(-0.784659\pi\) |
0.743982 | + | 0.668199i | \(0.232935\pi\) | |||||||
\(824\) | −12819.9 | − | 1394.25i | −0.541993 | − | 0.0589453i | ||||
\(825\) | −49070.9 | −2.07082 | ||||||||
\(826\) | −14463.5 | + | 9906.52i | −0.609261 | + | 0.417303i | ||||
\(827\) | 10519.4 | 0.442315 | 0.221157 | − | 0.975238i | \(-0.429017\pi\) | ||||
0.221157 | + | 0.975238i | \(0.429017\pi\) | |||||||
\(828\) | −9275.76 | − | 1008.80i | −0.389318 | − | 0.0423408i | ||||
\(829\) | 5277.82 | − | 6213.53i | 0.221117 | − | 0.260319i | −0.640407 | − | 0.768036i | \(-0.721234\pi\) |
0.861524 | + | 0.507716i | \(0.169510\pi\) | |||||||
\(830\) | −13501.1 | − | 2971.81i | −0.564613 | − | 0.124281i | ||||
\(831\) | 8146.58 | + | 6192.87i | 0.340074 | + | 0.258518i | ||||
\(832\) | −1.32342 | + | 1.25361i | −5.51460e−5 | + | 5.22370e-5i | ||||
\(833\) | −16895.8 | + | 42405.2i | −0.702765 | + | 1.76381i | ||||
\(834\) | 6580.73 | + | 2217.31i | 0.273228 | + | 0.0920612i | ||||
\(835\) | 7670.33 | + | 46787.0i | 0.317896 | + | 1.93908i | ||||
\(836\) | 20304.9 | + | 19233.9i | 0.840025 | + | 0.795714i | ||||
\(837\) | −5246.48 | + | 2427.28i | −0.216660 | + | 0.100238i | ||||
\(838\) | 1447.15 | − | 1100.10i | 0.0596552 | − | 0.0453487i | ||||
\(839\) | 6146.59 | − | 37492.6i | 0.252925 | − | 1.54277i | −0.488996 | − | 0.872286i | \(-0.662637\pi\) |
0.741921 | − | 0.670488i | \(-0.233915\pi\) | |||||||
\(840\) | 16195.1 | − | 30547.2i | 0.665220 | − | 1.25474i | ||||
\(841\) | 21379.0 | − | 4705.87i | 0.876584 | − | 0.192951i | ||||
\(842\) | −5965.92 | − | 2760.13i | −0.244180 | − | 0.112970i | ||||
\(843\) | 137.840 | + | 345.952i | 0.00563162 | + | 0.0141343i | ||||
\(844\) | 221.411 | + | 4083.69i | 0.00902996 | + | 0.166548i | ||||
\(845\) | 25457.3 | + | 37546.7i | 1.03640 | + | 1.52857i | ||||
\(846\) | −894.272 | − | 1052.82i | −0.0363424 | − | 0.0427856i | ||||
\(847\) | 23293.4 | + | 43936.1i | 0.944949 | + | 1.78236i | ||||
\(848\) | 6638.81 | − | 2236.87i | 0.268841 | − | 0.0905832i | ||||
\(849\) | −1302.35 | + | 24020.4i | −0.0526460 | + | 0.970999i | ||||
\(850\) | 24328.8 | − | 14638.2i | 0.981731 | − | 0.590688i | ||||
\(851\) | −7591.21 | − | 27341.1i | −0.305785 | − | 1.10134i | ||||
\(852\) | 2696.50 | − | 9711.92i | 0.108428 | − | 0.390522i | ||||
\(853\) | 25726.2 | + | 15478.9i | 1.03265 | + | 0.621322i | 0.927766 | − | 0.373163i | \(-0.121727\pi\) |
0.104880 | + | 0.994485i | \(0.466554\pi\) | |||||||
\(854\) | −9607.30 | + | 14169.7i | −0.384959 | + | 0.567772i | ||||
\(855\) | 14821.7 | − | 1611.96i | 0.592856 | − | 0.0644769i | ||||
\(856\) | −27797.8 | + | 3023.19i | −1.10994 | + | 0.120713i | ||||
\(857\) | 5686.88 | − | 8387.53i | 0.226675 | − | 0.334320i | −0.697296 | − | 0.716783i | \(-0.745614\pi\) |
0.923971 | + | 0.382463i | \(0.124924\pi\) | |||||||
\(858\) | 109.541 | + | 65.9087i | 0.00435859 | + | 0.00262248i | ||||
\(859\) | 11871.2 | − | 42756.0i | 0.471523 | − | 1.69827i | −0.219644 | − | 0.975580i | \(-0.570490\pi\) |
0.691168 | − | 0.722694i | \(-0.257096\pi\) | |||||||
\(860\) | 1239.03 | + | 4462.56i | 0.0491284 | + | 0.176944i | ||||
\(861\) | 18507.0 | − | 11135.3i | 0.732540 | − | 0.440755i | ||||
\(862\) | −961.232 | + | 17728.9i | −0.0379811 | + | 0.700520i | ||||
\(863\) | −15711.9 | + | 5293.95i | −0.619744 | + | 0.208816i | −0.611621 | − | 0.791151i | \(-0.709482\pi\) |
−0.00812311 | + | 0.999967i | \(0.502586\pi\) | |||||||
\(864\) | −2286.43 | − | 4312.67i | −0.0900302 | − | 0.169815i | ||||
\(865\) | 33368.9 | + | 39284.9i | 1.31165 | + | 1.54419i | ||||
\(866\) | −6527.54 | − | 9627.41i | −0.256137 | − | 0.377774i | ||||
\(867\) | 117.535 | + | 2167.81i | 0.00460404 | + | 0.0849165i | ||||
\(868\) | −15705.4 | − | 39417.5i | −0.614142 | − | 1.54138i | ||||
\(869\) | −25444.4 | − | 11771.8i | −0.993259 | − | 0.459530i | ||||
\(870\) | 16327.9 | − | 3594.04i | 0.636285 | − | 0.140057i | ||||
\(871\) | −6.66331 | + | 12.5683i | −0.000259217 | + | 0.000488934i | ||||
\(872\) | −716.121 | + | 4368.14i | −0.0278107 | + | 0.169638i | ||||
\(873\) | −11391.0 | + | 8659.21i | −0.441612 | + | 0.335704i | ||||
\(874\) | −14732.0 | + | 6815.77i | −0.570159 | + | 0.263784i | ||||
\(875\) | −81598.6 | − | 77294.3i | −3.15261 | − | 2.98631i | ||||
\(876\) | −1448.58 | − | 8835.94i | −0.0558709 | − | 0.340798i | ||||
\(877\) | 28532.8 | + | 9613.82i | 1.09861 | + | 0.370166i | 0.809495 | − | 0.587127i | \(-0.199741\pi\) |
0.289119 | + | 0.957293i | \(0.406638\pi\) | |||||||
\(878\) | 3656.06 | − | 9176.03i | 0.140531 | − | 0.352706i | ||||
\(879\) | 13599.9 | − | 12882.5i | 0.521858 | − | 0.494330i | ||||
\(880\) | −25610.0 | − | 19468.2i | −0.981036 | − | 0.745764i | ||||
\(881\) | 31245.8 | + | 6877.72i | 1.19489 | + | 0.263015i | 0.767498 | − | 0.641052i | \(-0.221502\pi\) |
0.427392 | + | 0.904067i | \(0.359433\pi\) | |||||||
\(882\) | −4443.70 | + | 5231.53i | −0.169645 | + | 0.199722i | ||||
\(883\) | −39597.2 | − | 4306.45i | −1.50912 | − | 0.164126i | −0.684164 | − | 0.729328i | \(-0.739833\pi\) |
−0.824953 | + | 0.565202i | \(0.808798\pi\) | |||||||
\(884\) | 302.105 | 0.0114942 | ||||||||
\(885\) | 27088.8 | + | 7383.56i | 1.02890 | + | 0.280447i | ||||
\(886\) | −16171.7 | −0.613204 | ||||||||
\(887\) | −24215.1 | − | 2633.55i | −0.916645 | − | 0.0996912i | −0.362379 | − | 0.932031i | \(-0.618035\pi\) |
−0.554266 | + | 0.832340i | \(0.687001\pi\) | |||||||
\(888\) | 6182.08 | − | 7278.11i | 0.233623 | − | 0.275042i | ||||
\(889\) | 64112.4 | + | 14112.2i | 2.41874 | + | 0.532405i | ||||
\(890\) | −12243.7 | − | 9307.44i | −0.461136 | − | 0.350546i | ||||
\(891\) | 3190.48 | − | 3022.18i | 0.119961 | − | 0.113633i | ||||
\(892\) | −12525.4 | + | 31436.4i | −0.470159 | + | 1.18001i | ||||
\(893\) | 9301.10 | + | 3133.90i | 0.348543 | + | 0.117438i | ||||
\(894\) | 1046.99 | + | 6386.36i | 0.0391685 | + | 0.238917i | ||||
\(895\) | 39004.7 | + | 36947.3i | 1.45674 | + | 1.37990i | ||||
\(896\) | 40581.5 | − | 18775.0i | 1.51310 | − | 0.700032i | ||||
\(897\) | 241.238 | − | 183.385i | 0.00897962 | − | 0.00682613i | ||||
\(898\) | 408.597 | − | 2492.33i | 0.0151838 | − | 0.0926172i | ||||
\(899\) | 21574.5 | − | 40693.9i | 0.800391 | − | 1.50970i | ||||
\(900\) | −17029.7 | + | 3748.52i | −0.630730 | + | 0.138834i | ||||
\(901\) | −16625.6 | − | 7691.84i | −0.614739 | − | 0.284409i | ||||
\(902\) | 5881.03 | + | 14760.3i | 0.217092 | + | 0.544860i | ||||
\(903\) | −174.786 | − | 3223.73i | −0.00644131 | − | 0.118803i | ||||
\(904\) | −6860.72 | − | 10118.8i | −0.252416 | − | 0.372286i | ||||
\(905\) | −25962.8 | − | 30565.8i | −0.953628 | − | 1.12270i | ||||
\(906\) | −372.206 | − | 702.055i | −0.0136487 | − | 0.0257442i | ||||
\(907\) | −18784.6 | + | 6329.28i | −0.687688 | + | 0.231709i | −0.641386 | − | 0.767218i | \(-0.721640\pi\) |
−0.0463021 | + | 0.998927i | \(0.514744\pi\) | |||||||
\(908\) | 814.719 | − | 15026.6i | 0.0297769 | − | 0.549202i | ||||
\(909\) | 52.4445 | − | 31.5548i | 0.00191361 | − | 0.00115138i | ||||
\(910\) | 133.820 | + | 481.977i | 0.00487483 | + | 0.0175576i | ||||
\(911\) | 11104.4 | − | 39994.5i | 0.403849 | − | 1.45453i | −0.430146 | − | 0.902759i | \(-0.641538\pi\) |
0.833995 | − | 0.551772i | \(-0.186048\pi\) | |||||||
\(912\) | 5920.29 | + | 3562.12i | 0.214957 | + | 0.129335i | ||||
\(913\) | 16248.0 | − | 23964.0i | 0.588970 | − | 0.868666i | ||||
\(914\) | 4252.78 | − | 462.517i | 0.153905 | − | 0.0167382i | ||||
\(915\) | 27257.6 | − | 2964.44i | 0.984818 | − | 0.107105i | ||||
\(916\) | 7433.34 | − | 10963.4i | 0.268127 | − | 0.395458i | ||||
\(917\) | −28242.3 | − | 16992.8i | −1.01706 | − | 0.611943i | ||||
\(918\) | −680.269 | + | 2450.11i | −0.0244578 | + | 0.0880889i | ||||
\(919\) | 4658.28 | + | 16777.6i | 0.167206 | + | 0.602222i | 0.998896 | + | 0.0469810i | \(0.0149600\pi\) |
−0.831690 | + | 0.555241i | \(0.812626\pi\) | |||||||
\(920\) | 51658.7 | − | 31082.0i | 1.85124 | − | 1.11385i | ||||
\(921\) | −125.666 | + | 2317.78i | −0.00449603 | + | 0.0829243i | ||||
\(922\) | 607.579 | − | 204.717i | 0.0217023 | − | 0.00731236i | ||||
\(923\) | 153.333 | + | 289.217i | 0.00546805 | + | 0.0103138i | ||||
\(924\) | 20882.6 | + | 24584.9i | 0.743494 | + | 0.875308i | ||||
\(925\) | −29759.6 | − | 43892.1i | −1.05783 | − | 1.56018i | ||||
\(926\) | −273.515 | − | 5044.69i | −0.00970655 | − | 0.179027i | ||||
\(927\) | −2373.82 | − | 5957.84i | −0.0841062 | − | 0.211091i | ||||
\(928\) | 35297.9 | + | 16330.5i | 1.24861 | + | 0.577669i | ||||
\(929\) | −34019.9 | + | 7488.34i | −1.20146 | + | 0.264461i | −0.770221 | − | 0.637777i | \(-0.779854\pi\) |
−0.431238 | + | 0.902238i | \(0.641923\pi\) | |||||||
\(930\) | 7793.90 | − | 14700.9i | 0.274809 | − | 0.518344i | ||||
\(931\) | 7890.24 | − | 48128.3i | 0.277757 | − | 1.69425i | ||||
\(932\) | −17150.2 | + | 13037.2i | −0.602760 | + | 0.458206i | ||||
\(933\) | −10208.8 | + | 4723.11i | −0.358223 | + | 0.165732i | ||||
\(934\) | −9904.53 | − | 9382.07i | −0.346987 | − | 0.328684i | ||||
\(935\) | 13609.1 | + | 83012.0i | 0.476006 | + | 2.90351i | ||||
\(936\) | 96.6412 | + | 32.5622i | 0.00337480 | + | 0.00113710i | ||||
\(937\) | 3112.61 | − | 7812.06i | 0.108521 | − | 0.272368i | −0.864680 | − | 0.502323i | \(-0.832479\pi\) |
0.973201 | + | 0.229955i | \(0.0738580\pi\) | |||||||
\(938\) | 638.045 | − | 604.388i | 0.0222099 | − | 0.0210383i | ||||
\(939\) | −20248.7 | − | 15392.7i | −0.703719 | − | 0.534953i | ||||
\(940\) | −15859.1 | − | 3490.85i | −0.550284 | − | 0.121127i | ||||
\(941\) | −10463.0 | + | 12318.0i | −0.362471 | + | 0.426734i | −0.912922 | − | 0.408133i | \(-0.866180\pi\) |
0.550451 | + | 0.834867i | \(0.314456\pi\) | |||||||
\(942\) | −8981.63 | − | 976.811i | −0.310655 | − | 0.0337858i | ||||
\(943\) | 37662.0 | 1.30058 | ||||||||
\(944\) | 7923.18 | + | 10321.2i | 0.273175 | + | 0.355855i | ||||
\(945\) | 17195.1 | 0.591913 | ||||||||
\(946\) | 2361.05 | + | 256.780i | 0.0811462 | + | 0.00882519i | ||||
\(947\) | 7191.20 | − | 8466.13i | 0.246761 | − | 0.290509i | −0.624812 | − | 0.780775i | \(-0.714824\pi\) |
0.871573 | + | 0.490266i | \(0.163100\pi\) | |||||||
\(948\) | −9729.54 | − | 2141.63i | −0.333334 | − | 0.0733724i | ||||
\(949\) | 231.502 | + | 175.983i | 0.00791874 | + | 0.00601967i | ||||
\(950\) | −22023.8 | + | 20862.1i | −0.752154 | + | 0.712479i | ||||
\(951\) | 7991.11 | − | 20056.2i | 0.272481 | − | 0.683876i | ||||
\(952\) | −39705.2 | − | 13378.2i | −1.35173 | − | 0.455452i | ||||
\(953\) | 6871.03 | + | 41911.4i | 0.233551 | + | 1.42460i | 0.799751 | + | 0.600332i | \(0.204965\pi\) |
−0.566199 | + | 0.824268i | \(0.691587\pi\) | |||||||
\(954\) | −1999.85 | − | 1894.36i | −0.0678694 | − | 0.0642893i | ||||
\(955\) | −55097.6 | + | 25490.9i | −1.86693 | + | 0.863734i | ||||
\(956\) | −29124.4 | + | 22139.8i | −0.985303 | + | 0.749008i | ||||
\(957\) | −5664.80 | + | 34553.7i | −0.191345 | + | 1.16715i | ||||
\(958\) | −1428.34 | + | 2694.13i | −0.0481707 | + | 0.0908596i | ||||
\(959\) | −63287.0 | + | 13930.5i | −2.13102 | + | 0.469072i | ||||
\(960\) | −163.699 | − | 75.7353i | −0.00550351 | − | 0.00254619i | ||||
\(961\) | −5940.27 | − | 14908.9i | −0.199398 | − | 0.500451i | ||||
\(962\) | 7.47951 | + | 137.952i | 0.000250675 | + | 0.00462343i | ||||
\(963\) | −7804.00 | − | 11510.0i | −0.261143 | − | 0.385156i | ||||
\(964\) | −4209.39 | − | 4955.68i | −0.140638 | − | 0.165572i | ||||
\(965\) | −11462.7 | − | 21620.9i | −0.382380 | − | 0.721245i | ||||
\(966\) | −17741.2 | + | 5977.72i | −0.590906 | + | 0.199099i | ||||
\(967\) | −349.046 | + | 6437.77i | −0.0116076 | + | 0.214090i | 0.986975 | + | 0.160872i | \(0.0514306\pi\) |
−0.998583 | + | 0.0532179i | \(0.983052\pi\) | |||||||
\(968\) | −25004.8 | + | 15044.9i | −0.830253 | + | 0.499547i | ||||
\(969\) | −4833.47 | − | 17408.6i | −0.160241 | − | 0.577136i | ||||
\(970\) | 11018.3 | − | 39684.2i | 0.364716 | − | 1.31359i | ||||
\(971\) | −24649.6 | − | 14831.1i | −0.814667 | − | 0.490169i | 0.0462405 | − | 0.998930i | \(-0.485276\pi\) |
−0.860908 | + | 0.508761i | \(0.830104\pi\) | |||||||
\(972\) | 876.369 | − | 1292.55i | 0.0289193 | − | 0.0426528i | ||||
\(973\) | −56572.4 | + | 6152.61i | −1.86395 | + | 0.202717i | ||||
\(974\) | −5956.59 | + | 647.819i | −0.195956 | + | 0.0213115i | ||||
\(975\) | 317.811 | − | 468.736i | 0.0104391 | − | 0.0153965i | ||||
\(976\) | 10887.6 | + | 6550.85i | 0.357073 | + | 0.214844i | ||||
\(977\) | 6664.84 | − | 24004.6i | 0.218247 | − | 0.786054i | −0.770626 | − | 0.637288i | \(-0.780056\pi\) |
0.988872 | − | 0.148766i | \(-0.0475301\pi\) | |||||||
\(978\) | 1263.25 | + | 4549.82i | 0.0413030 | + | 0.148760i | ||||
\(979\) | 27599.9 | − | 16606.3i | 0.901019 | − | 0.542125i | ||||
\(980\) | −4368.55 | + | 80573.2i | −0.142396 | + | 2.62634i | ||||
\(981\) | −2086.18 | + | 702.916i | −0.0678966 | + | 0.0228770i | ||||
\(982\) | 3005.07 | + | 5668.17i | 0.0976535 | + | 0.184194i | ||||
\(983\) | −8900.49 | − | 10478.5i | −0.288791 | − | 0.339991i | 0.598566 | − | 0.801073i | \(-0.295737\pi\) |
−0.887358 | + | 0.461082i | \(0.847461\pi\) | |||||||
\(984\) | 7112.82 | + | 10490.6i | 0.230435 | + | 0.339867i | ||||
\(985\) | 1048.73 | + | 19342.7i | 0.0339242 | + | 0.625696i | ||||
\(986\) | −7499.06 | − | 18821.2i | −0.242210 | − | 0.607900i | ||||
\(987\) | 10273.6 | + | 4753.06i | 0.331319 | + | 0.153284i | ||||
\(988\) | −315.232 | + | 69.3878i | −0.0101507 | + | 0.00223433i | ||||
\(989\) | 2636.92 | − | 4973.76i | 0.0847818 | − | 0.159915i | ||||
\(990\) | −2046.43 | + | 12482.7i | −0.0656969 | + | 0.400733i | ||||
\(991\) | −19901.5 | + | 15128.7i | −0.637934 | + | 0.484945i | −0.873442 | − | 0.486928i | \(-0.838118\pi\) |
0.235509 | + | 0.971872i | \(0.424324\pi\) | |||||||
\(992\) | 35129.7 | − | 16252.7i | 1.12436 | − | 0.520186i | ||||
\(993\) | 8438.24 | + | 7993.13i | 0.269667 | + | 0.255442i | ||||
\(994\) | −3271.84 | − | 19957.4i | −0.104403 | − | 0.636830i | ||||
\(995\) | 48103.5 | + | 16208.0i | 1.53265 | + | 0.516409i | ||||
\(996\) | 3808.14 | − | 9557.71i | 0.121150 | − | 0.304064i | ||||
\(997\) | 11274.6 | − | 10679.9i | 0.358145 | − | 0.339253i | −0.487379 | − | 0.873191i | \(-0.662047\pi\) |
0.845524 | + | 0.533937i | \(0.179288\pi\) | |||||||
\(998\) | 14697.2 | + | 11172.5i | 0.466164 | + | 0.354369i | ||||
\(999\) | 4638.14 | + | 1020.93i | 0.146891 | + | 0.0323332i |
(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 | 177.4.e.b.4.9 | ✓ | 420 | |
59.15 | even | 29 | inner | 177.4.e.b.133.9 | yes | 420 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
177.4.e.b.4.9 | ✓ | 420 | 1.1 | even | 1 | trivial | |
177.4.e.b.133.9 | yes | 420 | 59.15 | even | 29 | inner |