Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,3,Mod(7,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.j (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.94278685509\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 7.17 | ||
Character | \(\chi\) | \(=\) | 108.7 |
Dual form | 108.3.j.a.31.17 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.103865 | + | 1.99730i | 0.0519327 | + | 0.998651i | ||||
\(3\) | 0.204519 | + | 2.99302i | 0.0681730 | + | 0.997674i | ||||
\(4\) | −3.97842 | + | 0.414901i | −0.994606 | + | 0.103725i | ||||
\(5\) | 1.50670 | + | 8.54492i | 0.301340 | + | 1.70898i | 0.640252 | + | 0.768165i | \(0.278830\pi\) |
−0.338912 | + | 0.940818i | \(0.610059\pi\) | |||||||
\(6\) | −5.95672 | + | 0.719357i | −0.992787 | + | 0.119893i | ||||
\(7\) | 7.53806 | − | 8.98351i | 1.07687 | − | 1.28336i | 0.120017 | − | 0.992772i | \(-0.461705\pi\) |
0.956849 | − | 0.290587i | \(-0.0938505\pi\) | |||||||
\(8\) | −1.24190 | − | 7.90302i | −0.155238 | − | 0.987877i | ||||
\(9\) | −8.91634 | + | 1.22426i | −0.990705 | + | 0.136029i | ||||
\(10\) | −16.9103 | + | 3.89685i | −1.69103 | + | 0.389685i | ||||
\(11\) | −2.27133 | − | 0.400497i | −0.206485 | − | 0.0364089i | 0.0694489 | − | 0.997586i | \(-0.477876\pi\) |
−0.275934 | + | 0.961177i | \(0.588987\pi\) | |||||||
\(12\) | −2.05547 | − | 11.8226i | −0.171289 | − | 0.985221i | ||||
\(13\) | −4.42594 | − | 1.61091i | −0.340457 | − | 0.123916i | 0.166133 | − | 0.986103i | \(-0.446872\pi\) |
−0.506590 | + | 0.862187i | \(0.669094\pi\) | |||||||
\(14\) | 18.7257 | + | 14.1227i | 1.33755 | + | 1.00876i | ||||
\(15\) | −25.2670 | + | 6.25718i | −1.68446 | + | 0.417145i | ||||
\(16\) | 15.6557 | − | 3.30130i | 0.978482 | − | 0.206331i | ||||
\(17\) | 6.77412 | + | 11.7331i | 0.398478 | + | 0.690183i | 0.993538 | − | 0.113497i | \(-0.0362053\pi\) |
−0.595061 | + | 0.803681i | \(0.702872\pi\) | |||||||
\(18\) | −3.37131 | − | 17.6815i | −0.187295 | − | 0.982304i | ||||
\(19\) | 13.9009 | + | 8.02568i | 0.731626 | + | 0.422404i | 0.819017 | − | 0.573770i | \(-0.194520\pi\) |
−0.0873908 | + | 0.996174i | \(0.527853\pi\) | |||||||
\(20\) | −9.53958 | − | 33.3702i | −0.476979 | − | 1.66851i | ||||
\(21\) | 28.4295 | + | 20.7243i | 1.35379 | + | 0.986870i | ||||
\(22\) | 0.564001 | − | 4.57813i | 0.0256364 | − | 0.208097i | ||||
\(23\) | −3.20904 | − | 3.82439i | −0.139524 | − | 0.166278i | 0.691758 | − | 0.722130i | \(-0.256837\pi\) |
−0.831281 | + | 0.555852i | \(0.812392\pi\) | |||||||
\(24\) | 23.3999 | − | 5.33336i | 0.974996 | − | 0.222223i | ||||
\(25\) | −47.2531 | + | 17.1987i | −1.89013 | + | 0.687949i | ||||
\(26\) | 2.75777 | − | 9.00726i | 0.106068 | − | 0.346433i | ||||
\(27\) | −5.48779 | − | 26.4364i | −0.203252 | − | 0.979127i | ||||
\(28\) | −26.2623 | + | 38.8678i | −0.937940 | + | 1.38813i | ||||
\(29\) | 34.0967 | − | 12.4102i | 1.17575 | − | 0.427937i | 0.321049 | − | 0.947063i | \(-0.395965\pi\) |
0.854698 | + | 0.519126i | \(0.173742\pi\) | |||||||
\(30\) | −15.1218 | − | 49.8158i | −0.504061 | − | 1.66053i | ||||
\(31\) | −0.283047 | − | 0.337322i | −0.00913054 | − | 0.0108813i | 0.761460 | − | 0.648212i | \(-0.224483\pi\) |
−0.770590 | + | 0.637331i | \(0.780039\pi\) | |||||||
\(32\) | 8.21978 | + | 30.9263i | 0.256868 | + | 0.966446i | ||||
\(33\) | 0.734166 | − | 6.88006i | 0.0222475 | − | 0.208487i | ||||
\(34\) | −22.7310 | + | 14.7486i | −0.668558 | + | 0.433783i | ||||
\(35\) | 88.1209 | + | 50.8766i | 2.51774 | + | 1.45362i | ||||
\(36\) | 34.9651 | − | 8.57002i | 0.971251 | − | 0.238056i | ||||
\(37\) | 18.9267 | + | 32.7821i | 0.511533 | + | 0.886002i | 0.999911 | + | 0.0133691i | \(0.00425565\pi\) |
−0.488377 | + | 0.872633i | \(0.662411\pi\) | |||||||
\(38\) | −14.5859 | + | 28.5979i | −0.383839 | + | 0.752575i | ||||
\(39\) | 3.91630 | − | 13.5764i | 0.100418 | − | 0.348113i | ||||
\(40\) | 65.6594 | − | 22.5194i | 1.64149 | − | 0.562986i | ||||
\(41\) | 2.35960 | + | 0.858824i | 0.0575512 | + | 0.0209469i | 0.370635 | − | 0.928778i | \(-0.379140\pi\) |
−0.313084 | + | 0.949725i | \(0.601362\pi\) | |||||||
\(42\) | −38.4398 | + | 58.9348i | −0.915233 | + | 1.40321i | ||||
\(43\) | −17.5866 | − | 3.10099i | −0.408990 | − | 0.0721160i | −0.0346317 | − | 0.999400i | \(-0.511026\pi\) |
−0.374358 | + | 0.927284i | \(0.622137\pi\) | |||||||
\(44\) | 9.20249 | + | 0.650970i | 0.209148 | + | 0.0147948i | ||||
\(45\) | −23.8954 | − | 74.3448i | −0.531010 | − | 1.65211i | ||||
\(46\) | 7.30515 | − | 6.80665i | 0.158808 | − | 0.147971i | ||||
\(47\) | 5.64102 | − | 6.72271i | 0.120022 | − | 0.143036i | −0.702688 | − | 0.711498i | \(-0.748017\pi\) |
0.822710 | + | 0.568462i | \(0.192461\pi\) | |||||||
\(48\) | 13.0828 | + | 46.1827i | 0.272557 | + | 0.962140i | ||||
\(49\) | −15.3723 | − | 87.1809i | −0.313721 | − | 1.77920i | ||||
\(50\) | −39.2590 | − | 92.5924i | −0.785180 | − | 1.85185i | ||||
\(51\) | −33.7320 | + | 22.6747i | −0.661412 | + | 0.444602i | ||||
\(52\) | 18.2767 | + | 4.57256i | 0.351474 | + | 0.0879339i | ||||
\(53\) | −41.4639 | −0.782338 | −0.391169 | − | 0.920319i | \(-0.627929\pi\) | ||||
−0.391169 | + | 0.920319i | \(0.627929\pi\) | |||||||
\(54\) | 52.2315 | − | 13.7066i | 0.967250 | − | 0.253826i | ||||
\(55\) | − | 20.0118i | − | 0.363851i | ||||||
\(56\) | −80.3584 | − | 48.4168i | −1.43497 | − | 0.864585i | ||||
\(57\) | −21.1780 | + | 43.2471i | −0.371545 | + | 0.758720i | ||||
\(58\) | 28.3283 | + | 66.8123i | 0.488419 | + | 1.15194i | ||||
\(59\) | 25.5867 | − | 4.51163i | 0.433674 | − | 0.0764684i | 0.0474502 | − | 0.998874i | \(-0.484890\pi\) |
0.386224 | + | 0.922405i | \(0.373779\pi\) | |||||||
\(60\) | 97.9266 | − | 35.3770i | 1.63211 | − | 0.589617i | ||||
\(61\) | 51.1770 | + | 42.9426i | 0.838967 | + | 0.703977i | 0.957331 | − | 0.288993i | \(-0.0933206\pi\) |
−0.118364 | + | 0.992970i | \(0.537765\pi\) | |||||||
\(62\) | 0.644335 | − | 0.600365i | 0.0103925 | − | 0.00968331i | ||||
\(63\) | −56.2138 | + | 89.3286i | −0.892282 | + | 1.41791i | ||||
\(64\) | −60.9154 | + | 19.6296i | −0.951802 | + | 0.306712i | ||||
\(65\) | 7.09654 | − | 40.2465i | 0.109178 | − | 0.619177i | ||||
\(66\) | 13.8178 | + | 0.751752i | 0.209361 | + | 0.0113902i | ||||
\(67\) | 32.3784 | − | 88.9589i | 0.483260 | − | 1.32775i | −0.423423 | − | 0.905932i | \(-0.639172\pi\) |
0.906683 | − | 0.421813i | \(-0.138606\pi\) | |||||||
\(68\) | −31.8184 | − | 43.8687i | −0.467918 | − | 0.645128i | ||||
\(69\) | 10.7902 | − | 10.3869i | 0.156379 | − | 0.150535i | ||||
\(70\) | −92.4633 | + | 181.288i | −1.32090 | + | 2.58983i | ||||
\(71\) | −100.208 | + | 57.8552i | −1.41138 | + | 0.814862i | −0.995519 | − | 0.0945652i | \(-0.969854\pi\) |
−0.415863 | + | 0.909427i | \(0.636521\pi\) | |||||||
\(72\) | 20.7486 | + | 68.9456i | 0.288174 | + | 0.957578i | ||||
\(73\) | 22.5335 | − | 39.0292i | 0.308678 | − | 0.534646i | −0.669395 | − | 0.742906i | \(-0.733447\pi\) |
0.978073 | + | 0.208260i | \(0.0667801\pi\) | |||||||
\(74\) | −63.5098 | + | 41.2073i | −0.858241 | + | 0.556855i | ||||
\(75\) | −61.1403 | − | 137.912i | −0.815204 | − | 1.83883i | ||||
\(76\) | −58.6335 | − | 26.1621i | −0.771494 | − | 0.344238i | ||||
\(77\) | −20.7193 | + | 17.3856i | −0.269082 | + | 0.225787i | ||||
\(78\) | 27.5229 | + | 6.41192i | 0.352858 | + | 0.0822041i | ||||
\(79\) | −19.8334 | − | 54.4917i | −0.251055 | − | 0.689769i | −0.999643 | − | 0.0267327i | \(-0.991490\pi\) |
0.748587 | − | 0.663036i | \(-0.230733\pi\) | |||||||
\(80\) | 51.7978 | + | 128.803i | 0.647473 | + | 1.61003i | ||||
\(81\) | 78.0024 | − | 21.8318i | 0.962992 | − | 0.269529i | ||||
\(82\) | −1.47025 | + | 4.80203i | −0.0179299 | + | 0.0585614i | ||||
\(83\) | −22.8909 | − | 62.8923i | −0.275794 | − | 0.757738i | −0.997828 | − | 0.0658799i | \(-0.979015\pi\) |
0.722033 | − | 0.691858i | \(-0.243208\pi\) | |||||||
\(84\) | −121.703 | − | 70.6545i | −1.44885 | − | 0.841125i | ||||
\(85\) | −90.0519 | + | 75.5626i | −1.05943 | + | 0.888971i | ||||
\(86\) | 4.36697 | − | 35.4478i | 0.0507787 | − | 0.412183i | ||||
\(87\) | 44.1173 | + | 99.5139i | 0.507095 | + | 1.14384i | ||||
\(88\) | −0.344363 | + | 18.4478i | −0.00391322 | + | 0.209634i | ||||
\(89\) | 54.3190 | − | 94.0833i | 0.610326 | − | 1.05712i | −0.380860 | − | 0.924633i | \(-0.624372\pi\) |
0.991185 | − | 0.132482i | \(-0.0422948\pi\) | |||||||
\(90\) | 146.007 | − | 55.4482i | 1.62230 | − | 0.616091i | ||||
\(91\) | −47.8347 | + | 27.6174i | −0.525656 | + | 0.303487i | ||||
\(92\) | 14.3537 | + | 13.8836i | 0.156018 | + | 0.150909i | ||||
\(93\) | 0.951723 | − | 0.916153i | 0.0102336 | − | 0.00985111i | ||||
\(94\) | 14.0132 | + | 10.5686i | 0.149076 | + | 0.112432i | ||||
\(95\) | −47.6343 | + | 130.874i | −0.501414 | + | 1.37762i | ||||
\(96\) | −90.8819 | + | 30.9270i | −0.946687 | + | 0.322156i | ||||
\(97\) | 30.2853 | − | 171.757i | 0.312220 | − | 1.77069i | −0.275183 | − | 0.961392i | \(-0.588738\pi\) |
0.587403 | − | 0.809295i | \(-0.300150\pi\) | |||||||
\(98\) | 172.530 | − | 39.7583i | 1.76051 | − | 0.405697i | ||||
\(99\) | 20.7423 | + | 0.790274i | 0.209518 | + | 0.00798256i | ||||
\(100\) | 180.857 | − | 88.0292i | 1.80857 | − | 0.880292i | ||||
\(101\) | −57.1968 | − | 47.9938i | −0.566305 | − | 0.475186i | 0.314112 | − | 0.949386i | \(-0.398293\pi\) |
−0.880417 | + | 0.474200i | \(0.842738\pi\) | |||||||
\(102\) | −48.7918 | − | 65.0179i | −0.478351 | − | 0.637430i | ||||
\(103\) | 137.158 | − | 24.1847i | 1.33163 | − | 0.234803i | 0.537868 | − | 0.843029i | \(-0.319230\pi\) |
0.793764 | + | 0.608226i | \(0.208119\pi\) | |||||||
\(104\) | −7.23447 | + | 36.9789i | −0.0695622 | + | 0.355566i | ||||
\(105\) | −134.252 | + | 274.153i | −1.27859 | + | 2.61098i | ||||
\(106\) | −4.30667 | − | 82.8160i | −0.0406289 | − | 0.781283i | ||||
\(107\) | − | 28.1004i | − | 0.262621i | −0.991341 | − | 0.131310i | \(-0.958082\pi\) | ||
0.991341 | − | 0.131310i | \(-0.0419185\pi\) | |||||||
\(108\) | 32.8013 | + | 102.898i | 0.303715 | + | 0.952763i | ||||
\(109\) | 12.7869 | 0.117311 | 0.0586555 | − | 0.998278i | \(-0.481319\pi\) | ||||
0.0586555 | + | 0.998278i | \(0.481319\pi\) | |||||||
\(110\) | 39.9696 | − | 2.07853i | 0.363360 | − | 0.0188957i | ||||
\(111\) | −94.2465 | + | 63.3526i | −0.849068 | + | 0.570745i | ||||
\(112\) | 88.3564 | − | 165.529i | 0.788897 | − | 1.47793i | ||||
\(113\) | 36.5416 | + | 207.238i | 0.323377 | + | 1.83396i | 0.520842 | + | 0.853653i | \(0.325618\pi\) |
−0.197465 | + | 0.980310i | \(0.563271\pi\) | |||||||
\(114\) | −88.5771 | − | 37.8071i | −0.776992 | − | 0.331641i | ||||
\(115\) | 27.8440 | − | 33.1832i | 0.242122 | − | 0.288550i | ||||
\(116\) | −130.502 | + | 63.5196i | −1.12502 | + | 0.547583i | ||||
\(117\) | 41.4354 | + | 8.94495i | 0.354149 | + | 0.0764525i | ||||
\(118\) | 11.6687 | + | 50.6358i | 0.0988870 | + | 0.429117i | ||||
\(119\) | 156.468 | + | 27.5896i | 1.31486 | + | 0.231845i | ||||
\(120\) | 80.8297 | + | 191.914i | 0.673581 | + | 1.59929i | ||||
\(121\) | −108.704 | − | 39.5651i | −0.898382 | − | 0.326984i | ||||
\(122\) | −80.4538 | + | 106.676i | −0.659457 | + | 0.874394i | ||||
\(123\) | −2.08790 | + | 7.23798i | −0.0169748 | + | 0.0588453i | ||||
\(124\) | 1.26603 | + | 1.22457i | 0.0102100 | + | 0.00987559i | ||||
\(125\) | −109.699 | − | 190.004i | −0.877590 | − | 1.52003i | ||||
\(126\) | −184.255 | − | 102.998i | −1.46234 | − | 0.817442i | ||||
\(127\) | 96.5648 | + | 55.7517i | 0.760353 | + | 0.438990i | 0.829422 | − | 0.558622i | \(-0.188670\pi\) |
−0.0690695 | + | 0.997612i | \(0.522003\pi\) | |||||||
\(128\) | −45.5331 | − | 119.627i | −0.355728 | − | 0.934590i | ||||
\(129\) | 5.68453 | − | 53.2712i | 0.0440661 | − | 0.412955i | ||||
\(130\) | 81.1214 | + | 9.99371i | 0.624011 | + | 0.0768747i | ||||
\(131\) | −10.1474 | − | 12.0932i | −0.0774612 | − | 0.0923146i | 0.725922 | − | 0.687777i | \(-0.241413\pi\) |
−0.803383 | + | 0.595462i | \(0.796969\pi\) | |||||||
\(132\) | −0.0662835 | + | 27.6764i | −0.000502147 | + | 0.209670i | ||||
\(133\) | 176.885 | − | 64.3807i | 1.32996 | − | 0.484066i | ||||
\(134\) | 181.041 | + | 55.4297i | 1.35105 | + | 0.413654i | ||||
\(135\) | 217.629 | − | 86.7244i | 1.61206 | − | 0.642403i | ||||
\(136\) | 84.3142 | − | 68.1074i | 0.619958 | − | 0.500789i | ||||
\(137\) | 99.8901 | − | 36.3570i | 0.729125 | − | 0.265380i | 0.0493306 | − | 0.998783i | \(-0.484291\pi\) |
0.679794 | + | 0.733403i | \(0.262069\pi\) | |||||||
\(138\) | 21.8665 | + | 20.4724i | 0.158453 | + | 0.148351i | ||||
\(139\) | −36.3183 | − | 43.2824i | −0.261283 | − | 0.311385i | 0.619415 | − | 0.785064i | \(-0.287370\pi\) |
−0.880697 | + | 0.473679i | \(0.842926\pi\) | |||||||
\(140\) | −371.691 | − | 165.847i | −2.65494 | − | 1.18462i | ||||
\(141\) | 21.2749 | + | 15.5088i | 0.150886 | + | 0.109991i | ||||
\(142\) | −125.962 | − | 194.137i | −0.887059 | − | 1.36716i | ||||
\(143\) | 9.40763 | + | 5.43150i | 0.0657876 | + | 0.0379825i | ||||
\(144\) | −135.550 | + | 48.6022i | −0.941320 | + | 0.337515i | ||||
\(145\) | 157.417 | + | 272.655i | 1.08564 | + | 1.88038i | ||||
\(146\) | 80.2935 | + | 40.9524i | 0.549955 | + | 0.280496i | ||||
\(147\) | 257.790 | − | 63.8399i | 1.75368 | − | 0.434285i | ||||
\(148\) | −88.8999 | − | 122.568i | −0.600675 | − | 0.828164i | ||||
\(149\) | 110.073 | + | 40.0635i | 0.738748 | + | 0.268882i | 0.683863 | − | 0.729610i | \(-0.260299\pi\) |
0.0548851 | + | 0.998493i | \(0.482521\pi\) | |||||||
\(150\) | 269.102 | − | 136.440i | 1.79401 | − | 0.909599i | ||||
\(151\) | −244.777 | − | 43.1607i | −1.62104 | − | 0.285832i | −0.711884 | − | 0.702297i | \(-0.752158\pi\) |
−0.909152 | + | 0.416464i | \(0.863269\pi\) | |||||||
\(152\) | 46.1636 | − | 119.826i | 0.303708 | − | 0.788330i | ||||
\(153\) | −74.7647 | − | 96.3232i | −0.488658 | − | 0.629564i | ||||
\(154\) | −36.8762 | − | 39.5770i | −0.239456 | − | 0.256993i | ||||
\(155\) | 2.45592 | − | 2.92685i | 0.0158446 | − | 0.0188829i | ||||
\(156\) | −9.94785 | + | 55.6376i | −0.0637683 | + | 0.356651i | ||||
\(157\) | 32.2061 | + | 182.650i | 0.205134 | + | 1.16337i | 0.897228 | + | 0.441567i | \(0.145577\pi\) |
−0.692094 | + | 0.721807i | \(0.743312\pi\) | |||||||
\(158\) | 106.776 | − | 45.2730i | 0.675800 | − | 0.286538i | ||||
\(159\) | −8.48016 | − | 124.102i | −0.0533343 | − | 0.780518i | ||||
\(160\) | −251.878 | + | 116.834i | −1.57424 | + | 0.730212i | ||||
\(161\) | −58.5464 | −0.363642 | ||||||||
\(162\) | 51.7065 | + | 153.527i | 0.319176 | + | 0.947696i | ||||
\(163\) | 3.07052i | 0.0188375i | 0.999956 | + | 0.00941877i | \(0.00299813\pi\) | ||||
−0.999956 | + | 0.00941877i | \(0.997002\pi\) | |||||||
\(164\) | −9.74381 | − | 2.43777i | −0.0594135 | − | 0.0148644i | ||||
\(165\) | 59.8957 | − | 4.09279i | 0.363004 | − | 0.0248048i | ||||
\(166\) | 123.237 | − | 52.2524i | 0.742393 | − | 0.314773i | ||||
\(167\) | −90.6052 | + | 15.9761i | −0.542546 | + | 0.0956655i | −0.438203 | − | 0.898876i | \(-0.644385\pi\) |
−0.104343 | + | 0.994541i | \(0.533274\pi\) | |||||||
\(168\) | 128.478 | − | 250.416i | 0.764748 | − | 1.49057i | ||||
\(169\) | −112.468 | − | 94.3715i | −0.665489 | − | 0.558411i | ||||
\(170\) | −160.274 | − | 172.013i | −0.942791 | − | 1.01184i | ||||
\(171\) | −133.771 | − | 54.5415i | −0.782285 | − | 0.318956i | ||||
\(172\) | 71.2534 | + | 5.04036i | 0.414264 | + | 0.0293044i | ||||
\(173\) | −49.4146 | + | 280.244i | −0.285633 | + | 1.61991i | 0.417381 | + | 0.908732i | \(0.362948\pi\) |
−0.703014 | + | 0.711176i | \(0.748163\pi\) | |||||||
\(174\) | −194.177 | + | 98.4516i | −1.11596 | + | 0.565814i | ||||
\(175\) | −201.692 | + | 554.144i | −1.15253 | + | 3.16654i | ||||
\(176\) | −36.8815 | + | 1.22829i | −0.209554 | + | 0.00697891i | ||||
\(177\) | 18.7364 | + | 75.6590i | 0.105855 | + | 0.427452i | ||||
\(178\) | 193.554 | + | 98.7194i | 1.08738 | + | 0.554603i | ||||
\(179\) | −37.3404 | + | 21.5585i | −0.208606 | + | 0.120438i | −0.600663 | − | 0.799502i | \(-0.705097\pi\) |
0.392058 | + | 0.919941i | \(0.371763\pi\) | |||||||
\(180\) | 125.912 | + | 285.861i | 0.699511 | + | 1.58812i | ||||
\(181\) | −52.2292 | + | 90.4636i | −0.288559 | + | 0.499799i | −0.973466 | − | 0.228832i | \(-0.926509\pi\) |
0.684907 | + | 0.728630i | \(0.259843\pi\) | |||||||
\(182\) | −60.1286 | − | 92.6718i | −0.330377 | − | 0.509186i | ||||
\(183\) | −118.061 | + | 161.956i | −0.645144 | + | 0.885007i | ||||
\(184\) | −26.2389 | + | 30.1107i | −0.142603 | + | 0.163645i | ||||
\(185\) | −251.603 | + | 211.120i | −1.36002 | + | 1.14119i | ||||
\(186\) | 1.92868 | + | 1.80572i | 0.0103693 | + | 0.00970817i | ||||
\(187\) | −10.6872 | − | 29.3628i | −0.0571508 | − | 0.157021i | ||||
\(188\) | −19.6531 | + | 29.0863i | −0.104538 | + | 0.154714i | ||||
\(189\) | −278.859 | − | 149.980i | −1.47544 | − | 0.793543i | ||||
\(190\) | −266.343 | − | 81.5468i | −1.40180 | − | 0.429194i | ||||
\(191\) | −86.7947 | − | 238.466i | −0.454422 | − | 1.24852i | −0.929582 | − | 0.368616i | \(-0.879832\pi\) |
0.475160 | − | 0.879900i | \(-0.342390\pi\) | |||||||
\(192\) | −71.2100 | − | 178.306i | −0.370885 | − | 0.928679i | ||||
\(193\) | −0.204011 | + | 0.171186i | −0.00105705 | + | 0.000886973i | −0.643316 | − | 0.765601i | \(-0.722442\pi\) |
0.642259 | + | 0.766488i | \(0.277997\pi\) | |||||||
\(194\) | 346.195 | + | 42.6493i | 1.78451 | + | 0.219842i | ||||
\(195\) | 121.910 | + | 13.0089i | 0.625179 | + | 0.0667124i | ||||
\(196\) | 97.3291 | + | 340.465i | 0.496577 | + | 1.73706i | ||||
\(197\) | 25.6282 | − | 44.3894i | 0.130093 | − | 0.225327i | −0.793620 | − | 0.608414i | \(-0.791806\pi\) |
0.923712 | + | 0.383087i | \(0.125139\pi\) | |||||||
\(198\) | 0.575993 | + | 41.5107i | 0.00290905 | + | 0.209650i | ||||
\(199\) | 86.0717 | − | 49.6935i | 0.432521 | − | 0.249716i | −0.267899 | − | 0.963447i | \(-0.586329\pi\) |
0.700420 | + | 0.713731i | \(0.252996\pi\) | |||||||
\(200\) | 194.606 | + | 352.083i | 0.973028 | + | 1.76042i | ||||
\(201\) | 272.878 | + | 78.7154i | 1.35760 | + | 0.391619i | ||||
\(202\) | 89.9173 | − | 119.224i | 0.445135 | − | 0.590218i | ||||
\(203\) | 145.536 | − | 399.856i | 0.716925 | − | 1.96974i | ||||
\(204\) | 124.793 | − | 104.205i | 0.611728 | − | 0.510809i | ||||
\(205\) | −3.78337 | + | 21.4566i | −0.0184555 | + | 0.104666i | ||||
\(206\) | 62.5501 | + | 271.434i | 0.303641 | + | 1.31764i | ||||
\(207\) | 33.2950 | + | 30.1709i | 0.160845 | + | 0.145753i | ||||
\(208\) | −74.6094 | − | 10.6086i | −0.358699 | − | 0.0510029i | ||||
\(209\) | −28.3593 | − | 23.7963i | −0.135690 | − | 0.113858i | ||||
\(210\) | −561.510 | − | 239.668i | −2.67386 | − | 1.14127i | ||||
\(211\) | 100.532 | − | 17.7265i | 0.476456 | − | 0.0840120i | 0.0697369 | − | 0.997565i | \(-0.477784\pi\) |
0.406719 | + | 0.913553i | \(0.366673\pi\) | |||||||
\(212\) | 164.961 | − | 17.2034i | 0.778119 | − | 0.0811482i | ||||
\(213\) | −193.656 | − | 288.093i | −0.909184 | − | 1.35255i | ||||
\(214\) | 56.1250 | − | 2.91866i | 0.262267 | − | 0.0136386i | ||||
\(215\) | − | 154.948i | − | 0.720688i | ||||||
\(216\) | −202.112 | + | 76.2016i | −0.935704 | + | 0.352785i | ||||
\(217\) | −5.16396 | −0.0237970 | ||||||||
\(218\) | 1.32811 | + | 25.5393i | 0.00609227 | + | 0.117153i | ||||
\(219\) | 121.424 | + | 59.4610i | 0.554446 | + | 0.271512i | ||||
\(220\) | 8.30291 | + | 79.6154i | 0.0377405 | + | 0.361888i | ||||
\(221\) | −11.0809 | − | 62.8426i | −0.0501396 | − | 0.284356i | ||||
\(222\) | −136.323 | − | 181.659i | −0.614069 | − | 0.818282i | ||||
\(223\) | −211.508 | + | 252.065i | −0.948464 | + | 1.13034i | 0.0428842 | + | 0.999080i | \(0.486345\pi\) |
−0.991349 | + | 0.131256i | \(0.958099\pi\) | |||||||
\(224\) | 339.788 | + | 159.282i | 1.51691 | + | 0.711079i | ||||
\(225\) | 400.269 | − | 211.200i | 1.77898 | − | 0.938666i | ||||
\(226\) | −410.121 | + | 94.5095i | −1.81469 | + | 0.418183i | ||||
\(227\) | −339.879 | − | 59.9299i | −1.49727 | − | 0.264008i | −0.635812 | − | 0.771844i | \(-0.719335\pi\) |
−0.861454 | + | 0.507836i | \(0.830446\pi\) | |||||||
\(228\) | 66.3120 | − | 180.842i | 0.290842 | − | 0.793166i | ||||
\(229\) | −273.587 | − | 99.5776i | −1.19470 | − | 0.434837i | −0.333331 | − | 0.942810i | \(-0.608173\pi\) |
−0.861373 | + | 0.507973i | \(0.830395\pi\) | |||||||
\(230\) | 69.1689 | + | 52.1663i | 0.300734 | + | 0.226810i | ||||
\(231\) | −56.2729 | − | 58.4577i | −0.243605 | − | 0.253064i | ||||
\(232\) | −140.422 | − | 254.054i | −0.605269 | − | 1.09506i | ||||
\(233\) | 49.5426 | + | 85.8104i | 0.212629 | + | 0.368285i | 0.952537 | − | 0.304424i | \(-0.0984640\pi\) |
−0.739907 | + | 0.672709i | \(0.765131\pi\) | |||||||
\(234\) | −13.5620 | + | 83.6881i | −0.0579575 | + | 0.357641i | ||||
\(235\) | 65.9443 | + | 38.0730i | 0.280614 | + | 0.162013i | ||||
\(236\) | −99.9231 | + | 28.5652i | −0.423403 | + | 0.121039i | ||||
\(237\) | 159.039 | − | 70.5063i | 0.671049 | − | 0.297495i | ||||
\(238\) | −38.8531 | + | 315.380i | −0.163248 | + | 1.32513i | ||||
\(239\) | 74.1713 | + | 88.3940i | 0.310340 | + | 0.369849i | 0.898559 | − | 0.438853i | \(-0.144615\pi\) |
−0.588219 | + | 0.808702i | \(0.700171\pi\) | |||||||
\(240\) | −374.915 | + | 181.374i | −1.56215 | + | 0.755727i | ||||
\(241\) | 109.908 | − | 40.0034i | 0.456051 | − | 0.165989i | −0.103772 | − | 0.994601i | \(-0.533091\pi\) |
0.559823 | + | 0.828612i | \(0.310869\pi\) | |||||||
\(242\) | 67.7328 | − | 221.225i | 0.279888 | − | 0.914151i | ||||
\(243\) | 81.2960 | + | 228.998i | 0.334552 | + | 0.942377i | ||||
\(244\) | −221.421 | − | 149.610i | −0.907462 | − | 0.613158i | ||||
\(245\) | 721.792 | − | 262.711i | 2.94609 | − | 1.07229i | ||||
\(246\) | −14.6733 | − | 3.41838i | −0.0596475 | − | 0.0138959i | ||||
\(247\) | −48.5959 | − | 57.9143i | −0.196745 | − | 0.234471i | ||||
\(248\) | −2.31434 | + | 2.65584i | −0.00933203 | + | 0.0107090i | ||||
\(249\) | 183.556 | − | 81.3756i | 0.737173 | − | 0.326810i | ||||
\(250\) | 368.101 | − | 238.836i | 1.47240 | − | 0.955345i | ||||
\(251\) | −127.608 | − | 73.6744i | −0.508397 | − | 0.293523i | 0.223777 | − | 0.974640i | \(-0.428161\pi\) |
−0.732175 | + | 0.681117i | \(0.761495\pi\) | |||||||
\(252\) | 186.580 | − | 378.710i | 0.740396 | − | 1.50282i | ||||
\(253\) | 5.75715 | + | 9.97168i | 0.0227555 | + | 0.0394138i | ||||
\(254\) | −101.323 | + | 198.660i | −0.398910 | + | 0.782125i | ||||
\(255\) | −244.578 | − | 254.073i | −0.959128 | − | 0.996366i | ||||
\(256\) | 234.203 | − | 103.369i | 0.914855 | − | 0.403783i | ||||
\(257\) | −294.633 | − | 107.238i | −1.14643 | − | 0.417267i | −0.302199 | − | 0.953245i | \(-0.597721\pi\) |
−0.844232 | + | 0.535978i | \(0.819943\pi\) | |||||||
\(258\) | 106.989 | + | 5.82069i | 0.414686 | + | 0.0225608i | ||||
\(259\) | 437.169 | + | 77.0847i | 1.68791 | + | 0.297624i | ||||
\(260\) | −11.5347 | + | 163.062i | −0.0443644 | + | 0.627161i | ||||
\(261\) | −288.824 | + | 152.396i | −1.10661 | + | 0.583894i | ||||
\(262\) | 23.0998 | − | 21.5235i | 0.0881673 | − | 0.0821508i | ||||
\(263\) | −131.924 | + | 157.221i | −0.501613 | + | 0.597799i | −0.956131 | − | 0.292938i | \(-0.905367\pi\) |
0.454518 | + | 0.890737i | \(0.349811\pi\) | |||||||
\(264\) | −55.2850 | + | 2.74223i | −0.209413 | + | 0.0103872i | ||||
\(265\) | −62.4737 | − | 354.306i | −0.235750 | − | 1.33700i | ||||
\(266\) | 146.960 | + | 346.605i | 0.552481 | + | 1.30303i | ||||
\(267\) | 292.702 | + | 143.336i | 1.09626 | + | 0.536839i | ||||
\(268\) | −91.9059 | + | 367.350i | −0.342932 | + | 1.37071i | ||||
\(269\) | −270.423 | −1.00529 | −0.502645 | − | 0.864493i | \(-0.667640\pi\) | ||||
−0.502645 | + | 0.864493i | \(0.667640\pi\) | |||||||
\(270\) | 195.819 | + | 425.662i | 0.725255 | + | 1.57653i | ||||
\(271\) | − | 232.697i | − | 0.858661i | −0.903148 | − | 0.429330i | \(-0.858750\pi\) | ||
0.903148 | − | 0.429330i | \(-0.141250\pi\) | |||||||
\(272\) | 144.788 | + | 161.327i | 0.532310 | + | 0.593114i | ||||
\(273\) | −92.4424 | − | 137.522i | −0.338617 | − | 0.503743i | ||||
\(274\) | 82.9911 | + | 195.734i | 0.302887 | + | 0.714359i | ||||
\(275\) | 114.216 | − | 20.1393i | 0.415330 | − | 0.0732338i | ||||
\(276\) | −38.6183 | + | 45.8003i | −0.139921 | + | 0.165943i | ||||
\(277\) | −57.6704 | − | 48.3912i | −0.208196 | − | 0.174698i | 0.532727 | − | 0.846287i | \(-0.321167\pi\) |
−0.740923 | + | 0.671590i | \(0.765612\pi\) | |||||||
\(278\) | 82.6759 | − | 77.0341i | 0.297395 | − | 0.277101i | ||||
\(279\) | 2.93671 | + | 2.66116i | 0.0105258 | + | 0.00953819i | ||||
\(280\) | 292.641 | − | 759.605i | 1.04515 | − | 2.71287i | ||||
\(281\) | 24.3783 | − | 138.256i | 0.0867556 | − | 0.492015i | −0.910208 | − | 0.414151i | \(-0.864079\pi\) |
0.996964 | − | 0.0778647i | \(-0.0248102\pi\) | |||||||
\(282\) | −28.7660 | + | 44.1032i | −0.102007 | + | 0.156394i | ||||
\(283\) | −48.0225 | + | 131.941i | −0.169691 | + | 0.466221i | −0.995165 | − | 0.0982185i | \(-0.968686\pi\) |
0.825474 | + | 0.564440i | \(0.190908\pi\) | |||||||
\(284\) | 374.666 | − | 271.749i | 1.31925 | − | 0.956862i | ||||
\(285\) | −401.451 | − | 115.804i | −1.40860 | − | 0.406331i | ||||
\(286\) | −9.87121 | + | 19.3540i | −0.0345147 | + | 0.0676714i | ||||
\(287\) | 25.5021 | − | 14.7236i | 0.0888573 | − | 0.0513018i | ||||
\(288\) | −111.152 | − | 265.686i | −0.385945 | − | 0.922522i | ||||
\(289\) | 52.7226 | − | 91.3183i | 0.182431 | − | 0.315980i | ||||
\(290\) | −528.223 | + | 342.729i | −1.82146 | + | 1.18182i | ||||
\(291\) | 520.265 | + | 55.5171i | 1.78785 | + | 0.190780i | ||||
\(292\) | −73.4546 | + | 164.624i | −0.251557 | + | 0.563780i | ||||
\(293\) | 255.034 | − | 213.999i | 0.870422 | − | 0.730371i | −0.0937648 | − | 0.995594i | \(-0.529890\pi\) |
0.964187 | + | 0.265223i | \(0.0854457\pi\) | |||||||
\(294\) | 154.283 | + | 508.254i | 0.524772 | + | 1.72876i | ||||
\(295\) | 77.1031 | + | 211.839i | 0.261366 | + | 0.718098i | ||||
\(296\) | 235.572 | − | 190.290i | 0.795851 | − | 0.642873i | ||||
\(297\) | 1.87689 | + | 62.2438i | 0.00631949 | + | 0.209575i | ||||
\(298\) | −68.5860 | + | 224.011i | −0.230154 | + | 0.751715i | ||||
\(299\) | 8.04230 | + | 22.0960i | 0.0268973 | + | 0.0738997i | ||||
\(300\) | 300.462 | + | 523.306i | 1.00154 | + | 1.74435i | ||||
\(301\) | −160.426 | + | 134.614i | −0.532978 | + | 0.447221i | ||||
\(302\) | 60.7811 | − | 493.375i | 0.201262 | − | 1.63369i | ||||
\(303\) | 131.949 | − | 181.007i | 0.435474 | − | 0.597382i | ||||
\(304\) | 244.124 | + | 79.7568i | 0.803038 | + | 0.262358i | ||||
\(305\) | −289.832 | + | 502.005i | −0.950270 | + | 1.64592i | ||||
\(306\) | 184.621 | − | 159.332i | 0.603337 | − | 0.520694i | ||||
\(307\) | −176.337 | + | 101.808i | −0.574387 | + | 0.331622i | −0.758900 | − | 0.651208i | \(-0.774263\pi\) |
0.184513 | + | 0.982830i | \(0.440929\pi\) | |||||||
\(308\) | 75.2169 | − | 77.7636i | 0.244211 | − | 0.252479i | ||||
\(309\) | 100.437 | + | 405.571i | 0.325038 | + | 1.31253i | ||||
\(310\) | 6.10089 | + | 4.60121i | 0.0196803 | + | 0.0148426i | ||||
\(311\) | −63.2509 | + | 173.780i | −0.203379 | + | 0.558779i | −0.998887 | − | 0.0471636i | \(-0.984982\pi\) |
0.795508 | + | 0.605943i | \(0.207204\pi\) | |||||||
\(312\) | −112.158 | − | 14.0900i | −0.359481 | − | 0.0451604i | ||||
\(313\) | −19.2606 | + | 109.232i | −0.0615355 | + | 0.348985i | 0.938458 | + | 0.345393i | \(0.112254\pi\) |
−0.999994 | + | 0.00359201i | \(0.998857\pi\) | |||||||
\(314\) | −361.462 | + | 83.2963i | −1.15115 | + | 0.265275i | ||||
\(315\) | −848.003 | − | 345.751i | −2.69207 | − | 1.09762i | ||||
\(316\) | 101.514 | + | 208.562i | 0.321248 | + | 0.660008i | ||||
\(317\) | 104.031 | + | 87.2920i | 0.328172 | + | 0.275369i | 0.791955 | − | 0.610580i | \(-0.209064\pi\) |
−0.463783 | + | 0.885949i | \(0.653508\pi\) | |||||||
\(318\) | 246.989 | − | 29.8274i | 0.776695 | − | 0.0937968i | ||||
\(319\) | −82.4151 | + | 14.5320i | −0.258355 | + | 0.0455549i | ||||
\(320\) | −259.514 | − | 490.941i | −0.810981 | − | 1.53419i | ||||
\(321\) | 84.1052 | − | 5.74707i | 0.262010 | − | 0.0179036i | ||||
\(322\) | −6.08094 | − | 116.935i | −0.0188849 | − | 0.363152i | ||||
\(323\) | 217.468i | 0.673275i | ||||||||
\(324\) | −301.269 | + | 119.219i | −0.929841 | + | 0.367961i | ||||
\(325\) | 236.845 | 0.728755 | ||||||||
\(326\) | −6.13275 | + | 0.318920i | −0.0188121 | + | 0.000978284i | ||||
\(327\) | 2.61516 | + | 38.2714i | 0.00799743 | + | 0.117038i | ||||
\(328\) | 3.85691 | − | 19.7145i | 0.0117589 | − | 0.0601053i | ||||
\(329\) | −17.8712 | − | 101.352i | −0.0543196 | − | 0.308062i | ||||
\(330\) | 14.3956 | + | 119.205i | 0.0436231 | + | 0.361226i | ||||
\(331\) | 114.419 | − | 136.359i | 0.345677 | − | 0.411962i | −0.564993 | − | 0.825095i | \(-0.691121\pi\) |
0.910670 | + | 0.413133i | \(0.135566\pi\) | |||||||
\(332\) | 117.164 | + | 240.715i | 0.352903 | + | 0.725044i | ||||
\(333\) | −208.891 | − | 269.125i | −0.627300 | − | 0.808183i | ||||
\(334\) | −41.3199 | − | 179.307i | −0.123712 | − | 0.536846i | ||||
\(335\) | 808.931 | + | 142.636i | 2.41472 | + | 0.425780i | ||||
\(336\) | 513.501 | + | 230.599i | 1.52828 | + | 0.686306i | ||||
\(337\) | 547.261 | + | 199.187i | 1.62392 | + | 0.591059i | 0.984123 | − | 0.177486i | \(-0.0567963\pi\) |
0.639797 | + | 0.768544i | \(0.279019\pi\) | |||||||
\(338\) | 176.807 | − | 234.434i | 0.523097 | − | 0.693590i | ||||
\(339\) | −612.794 | + | 151.754i | −1.80765 | + | 0.447652i | ||||
\(340\) | 326.914 | − | 337.983i | 0.961511 | − | 0.994066i | ||||
\(341\) | 0.507797 | + | 0.879530i | 0.00148914 | + | 0.00257927i | ||||
\(342\) | 95.0416 | − | 272.845i | 0.277899 | − | 0.797793i | ||||
\(343\) | −401.424 | − | 231.762i | −1.17033 | − | 0.675692i | ||||
\(344\) | −2.66635 | + | 142.838i | −0.00775101 | + | 0.415227i | ||||
\(345\) | 105.013 | + | 76.5512i | 0.304385 | + | 0.221887i | ||||
\(346\) | −564.864 | − | 69.5881i | −1.63255 | − | 0.201122i | ||||
\(347\) | 174.936 | + | 208.480i | 0.504138 | + | 0.600808i | 0.956754 | − | 0.290897i | \(-0.0939538\pi\) |
−0.452616 | + | 0.891705i | \(0.649509\pi\) | |||||||
\(348\) | −216.806 | − | 377.604i | −0.623005 | − | 1.08507i | ||||
\(349\) | 239.597 | − | 87.2061i | 0.686524 | − | 0.249874i | 0.0248779 | − | 0.999690i | \(-0.492080\pi\) |
0.661646 | + | 0.749816i | \(0.269858\pi\) | |||||||
\(350\) | −1127.74 | − | 345.283i | −3.22212 | − | 0.986523i | ||||
\(351\) | −18.2981 | + | 125.846i | −0.0521313 | + | 0.358537i | ||||
\(352\) | −6.28397 | − | 73.5359i | −0.0178522 | − | 0.208909i | ||||
\(353\) | −216.192 | + | 78.6876i | −0.612443 | + | 0.222911i | −0.629572 | − | 0.776942i | \(-0.716770\pi\) |
0.0171289 | + | 0.999853i | \(0.494547\pi\) | |||||||
\(354\) | −149.168 | + | 45.2806i | −0.421378 | + | 0.127911i | ||||
\(355\) | −645.351 | − | 769.100i | −1.81789 | − | 2.16648i | ||||
\(356\) | −177.069 | + | 396.840i | −0.497384 | + | 1.11472i | ||||
\(357\) | −50.5755 | + | 473.955i | −0.141668 | + | 1.32761i | ||||
\(358\) | −46.9372 | − | 72.3408i | −0.131109 | − | 0.202069i | ||||
\(359\) | −513.681 | − | 296.574i | −1.43087 | − | 0.826112i | −0.433680 | − | 0.901067i | \(-0.642785\pi\) |
−0.997187 | + | 0.0749550i | \(0.976119\pi\) | |||||||
\(360\) | −557.873 | + | 281.175i | −1.54965 | + | 0.781042i | ||||
\(361\) | −51.6768 | − | 89.5068i | −0.143149 | − | 0.247941i | ||||
\(362\) | −186.108 | − | 94.9214i | −0.514110 | − | 0.262214i | ||||
\(363\) | 96.1871 | − | 333.446i | 0.264978 | − | 0.918584i | ||||
\(364\) | 178.848 | − | 129.720i | 0.491341 | − | 0.356374i | ||||
\(365\) | 367.452 | + | 133.742i | 1.00672 | + | 0.366415i | ||||
\(366\) | −335.738 | − | 218.982i | −0.917317 | − | 0.598313i | ||||
\(367\) | 328.288 | + | 57.8861i | 0.894519 | + | 0.157728i | 0.601966 | − | 0.798522i | \(-0.294384\pi\) |
0.292553 | + | 0.956249i | \(0.405495\pi\) | |||||||
\(368\) | −62.8654 | − | 49.2795i | −0.170830 | − | 0.133912i | ||||
\(369\) | −22.0904 | − | 4.76881i | −0.0598657 | − | 0.0129236i | ||||
\(370\) | −447.803 | − | 480.599i | −1.21028 | − | 1.29892i | ||||
\(371\) | −312.558 | + | 372.492i | −0.842473 | + | 1.00402i | ||||
\(372\) | −3.40624 | + | 4.03972i | −0.00915657 | + | 0.0108595i | ||||
\(373\) | 10.8367 | + | 61.4578i | 0.0290527 | + | 0.164766i | 0.995882 | − | 0.0906564i | \(-0.0288965\pi\) |
−0.966829 | + | 0.255423i | \(0.917785\pi\) | |||||||
\(374\) | 57.5364 | − | 24.3953i | 0.153841 | − | 0.0652282i | ||||
\(375\) | 546.250 | − | 367.190i | 1.45667 | − | 0.979174i | ||||
\(376\) | −60.1353 | − | 36.2322i | −0.159934 | − | 0.0963621i | ||||
\(377\) | −170.902 | −0.453320 | ||||||||
\(378\) | 270.591 | − | 572.543i | 0.715849 | − | 1.51466i | ||||
\(379\) | 341.891i | 0.902088i | 0.892502 | + | 0.451044i | \(0.148948\pi\) | ||||
−0.892502 | + | 0.451044i | \(0.851052\pi\) | |||||||
\(380\) | 135.210 | − | 540.437i | 0.355815 | − | 1.42220i | ||||
\(381\) | −147.117 | + | 300.423i | −0.386133 | + | 0.788511i | ||||
\(382\) | 467.274 | − | 198.124i | 1.22323 | − | 0.518648i | ||||
\(383\) | 173.175 | − | 30.5355i | 0.452155 | − | 0.0797272i | 0.0570670 | − | 0.998370i | \(-0.481825\pi\) |
0.395088 | + | 0.918643i | \(0.370714\pi\) | |||||||
\(384\) | 348.735 | − | 160.748i | 0.908164 | − | 0.418614i | ||||
\(385\) | −179.776 | − | 150.850i | −0.466951 | − | 0.391818i | ||||
\(386\) | −0.363099 | − | 0.389692i | −0.000940672 | − | 0.00100956i | ||||
\(387\) | 160.604 | + | 6.11896i | 0.414998 | + | 0.0158113i | ||||
\(388\) | −49.2259 | + | 695.886i | −0.126871 | + | 1.79352i | ||||
\(389\) | 18.0397 | − | 102.308i | 0.0463746 | − | 0.263003i | −0.952801 | − | 0.303595i | \(-0.901813\pi\) |
0.999176 | + | 0.0405915i | \(0.0129242\pi\) | |||||||
\(390\) | −13.3205 | + | 244.842i | −0.0341552 | + | 0.627800i | ||||
\(391\) | 23.1336 | − | 63.5590i | 0.0591651 | − | 0.162555i | ||||
\(392\) | −669.901 | + | 229.758i | −1.70893 | + | 0.586117i | ||||
\(393\) | 34.1199 | − | 32.8447i | 0.0868191 | − | 0.0835743i | ||||
\(394\) | 91.3209 | + | 46.5768i | 0.231779 | + | 0.118215i | ||||
\(395\) | 435.744 | − | 251.577i | 1.10315 | − | 0.636904i | ||||
\(396\) | −82.8496 | + | 5.46196i | −0.209216 | + | 0.0137928i | ||||
\(397\) | −309.052 | + | 535.294i | −0.778469 | + | 1.34835i | 0.154354 | + | 0.988016i | \(0.450670\pi\) |
−0.932824 | + | 0.360333i | \(0.882663\pi\) | |||||||
\(398\) | 108.193 | + | 166.750i | 0.271841 | + | 0.418969i | ||||
\(399\) | 228.869 | + | 516.252i | 0.573607 | + | 1.29386i | ||||
\(400\) | −683.003 | + | 425.255i | −1.70751 | + | 1.06314i | ||||
\(401\) | −157.870 | + | 132.468i | −0.393690 | + | 0.330345i | −0.818048 | − | 0.575149i | \(-0.804944\pi\) |
0.424359 | + | 0.905494i | \(0.360500\pi\) | |||||||
\(402\) | −128.876 | + | 553.195i | −0.320587 | + | 1.37611i | ||||
\(403\) | 0.709353 | + | 1.94893i | 0.00176018 | + | 0.00483606i | ||||
\(404\) | 247.466 | + | 167.209i | 0.612539 | + | 0.413883i | ||||
\(405\) | 304.077 | + | 633.630i | 0.750808 | + | 1.56452i | ||||
\(406\) | 813.749 | + | 249.148i | 2.00431 | + | 0.613664i | ||||
\(407\) | −29.8598 | − | 82.0391i | −0.0733656 | − | 0.201570i | ||||
\(408\) | 221.091 | + | 238.425i | 0.541889 | + | 0.584375i | ||||
\(409\) | −197.638 | + | 165.838i | −0.483222 | + | 0.405472i | −0.851590 | − | 0.524208i | \(-0.824361\pi\) |
0.368368 | + | 0.929680i | \(0.379917\pi\) | |||||||
\(410\) | −43.2482 | − | 5.32794i | −0.105483 | − | 0.0129950i | ||||
\(411\) | 129.247 | + | 291.538i | 0.314469 | + | 0.709337i | ||||
\(412\) | −535.639 | + | 153.124i | −1.30009 | + | 0.371660i | ||||
\(413\) | 152.344 | − | 263.868i | 0.368872 | − | 0.638905i | ||||
\(414\) | −56.8021 | + | 69.6338i | −0.137203 | + | 0.168198i | ||||
\(415\) | 502.919 | − | 290.361i | 1.21185 | − | 0.699664i | ||||
\(416\) | 13.4392 | − | 150.119i | 0.0323058 | − | 0.360864i | ||||
\(417\) | 122.117 | − | 117.553i | 0.292848 | − | 0.281903i | ||||
\(418\) | 44.5828 | − | 59.1137i | 0.106657 | − | 0.141420i | ||||
\(419\) | −41.7733 | + | 114.771i | −0.0996975 | + | 0.273917i | −0.979507 | − | 0.201410i | \(-0.935448\pi\) |
0.879810 | + | 0.475326i | \(0.157670\pi\) | |||||||
\(420\) | 420.367 | − | 1146.40i | 1.00087 | − | 2.72952i | ||||
\(421\) | −19.2591 | + | 109.224i | −0.0457461 | + | 0.259439i | −0.999100 | − | 0.0424156i | \(-0.986495\pi\) |
0.953354 | + | 0.301855i | \(0.0976058\pi\) | |||||||
\(422\) | 45.8470 | + | 198.952i | 0.108642 | + | 0.471450i | ||||
\(423\) | −42.0670 | + | 66.8481i | −0.0994491 | + | 0.158033i | ||||
\(424\) | 51.4942 | + | 327.690i | 0.121449 | + | 0.772854i | ||||
\(425\) | −521.893 | − | 437.920i | −1.22798 | − | 1.03040i | ||||
\(426\) | 555.293 | − | 416.713i | 1.30351 | − | 0.978199i | ||||
\(427\) | 771.550 | − | 136.045i | 1.80691 | − | 0.318607i | ||||
\(428\) | 11.6589 | + | 111.795i | 0.0272404 | + | 0.261204i | ||||
\(429\) | −14.3325 | + | 29.2681i | −0.0334092 | + | 0.0682239i | ||||
\(430\) | 309.478 | − | 16.0937i | 0.719716 | − | 0.0374273i | ||||
\(431\) | 697.944i | 1.61936i | 0.586872 | + | 0.809679i | \(0.300359\pi\) | ||||
−0.586872 | + | 0.809679i | \(0.699641\pi\) | |||||||
\(432\) | −173.190 | − | 395.764i | −0.400903 | − | 0.916121i | ||||
\(433\) | −599.940 | −1.38554 | −0.692772 | − | 0.721157i | \(-0.743611\pi\) | ||||
−0.692772 | + | 0.721157i | \(0.743611\pi\) | |||||||
\(434\) | −0.536356 | − | 10.3140i | −0.00123584 | − | 0.0237649i | ||||
\(435\) | −783.866 | + | 526.916i | −1.80199 | + | 1.21130i | ||||
\(436\) | −50.8717 | + | 5.30529i | −0.116678 | + | 0.0121681i | ||||
\(437\) | −13.9152 | − | 78.9172i | −0.0318426 | − | 0.180589i | ||||
\(438\) | −106.150 | + | 248.695i | −0.242351 | + | 0.567798i | ||||
\(439\) | 501.455 | − | 597.611i | 1.14227 | − | 1.36130i | 0.219652 | − | 0.975578i | \(-0.429508\pi\) |
0.922615 | − | 0.385722i | \(-0.126048\pi\) | |||||||
\(440\) | −158.153 | + | 24.8527i | −0.359440 | + | 0.0564834i | ||||
\(441\) | 243.797 | + | 758.515i | 0.552828 | + | 1.71999i | ||||
\(442\) | 124.365 | − | 28.6590i | 0.281368 | − | 0.0648393i | ||||
\(443\) | −682.883 | − | 120.411i | −1.54150 | − | 0.271807i | −0.662656 | − | 0.748924i | \(-0.730571\pi\) |
−0.878840 | + | 0.477117i | \(0.841682\pi\) | |||||||
\(444\) | 348.668 | − | 291.147i | 0.785287 | − | 0.655736i | ||||
\(445\) | 885.776 | + | 322.396i | 1.99051 | + | 0.724485i | ||||
\(446\) | −525.418 | − | 396.263i | −1.17807 | − | 0.888483i | ||||
\(447\) | −97.3987 | + | 337.646i | −0.217894 | + | 0.755360i | ||||
\(448\) | −282.841 | + | 695.202i | −0.631342 | + | 1.55179i | ||||
\(449\) | −263.993 | − | 457.250i | −0.587959 | − | 1.01837i | −0.994499 | − | 0.104742i | \(-0.966598\pi\) |
0.406541 | − | 0.913633i | \(-0.366735\pi\) | |||||||
\(450\) | 463.404 | + | 777.522i | 1.02979 | + | 1.72783i | ||||
\(451\) | −5.01548 | − | 2.89569i | −0.0111208 | − | 0.00642060i | ||||
\(452\) | −231.361 | − | 809.319i | −0.511861 | − | 1.79053i | ||||
\(453\) | 79.1195 | − | 741.448i | 0.174657 | − | 1.63675i | ||||
\(454\) | 84.3964 | − | 685.066i | 0.185895 | − | 1.50896i | ||||
\(455\) | −308.060 | − | 367.132i | −0.677056 | − | 0.806884i | ||||
\(456\) | 368.083 | + | 113.662i | 0.807200 | + | 0.249258i | ||||
\(457\) | 125.330 | − | 45.6162i | 0.274244 | − | 0.0998167i | −0.201237 | − | 0.979543i | \(-0.564496\pi\) |
0.475481 | + | 0.879726i | \(0.342274\pi\) | |||||||
\(458\) | 170.470 | − | 556.779i | 0.372206 | − | 1.21567i | ||||
\(459\) | 273.007 | − | 243.472i | 0.594786 | − | 0.530441i | ||||
\(460\) | −97.0076 | + | 143.569i | −0.210886 | + | 0.312107i | ||||
\(461\) | −497.956 | + | 181.241i | −1.08017 | + | 0.393148i | −0.819969 | − | 0.572408i | \(-0.806009\pi\) |
−0.260196 | + | 0.965556i | \(0.583787\pi\) | |||||||
\(462\) | 110.913 | − | 118.466i | 0.240071 | − | 0.256419i | ||||
\(463\) | 314.968 | + | 375.364i | 0.680277 | + | 0.810722i | 0.990143 | − | 0.140058i | \(-0.0447289\pi\) |
−0.309867 | + | 0.950780i | \(0.600284\pi\) | |||||||
\(464\) | 492.838 | − | 306.853i | 1.06215 | − | 0.661322i | ||||
\(465\) | 9.26241 | + | 6.75202i | 0.0199192 | + | 0.0145205i | ||||
\(466\) | −166.243 | + | 107.864i | −0.356745 | + | 0.231468i | ||||
\(467\) | 168.249 | + | 97.1384i | 0.360276 | + | 0.208005i | 0.669202 | − | 0.743081i | \(-0.266636\pi\) |
−0.308926 | + | 0.951086i | \(0.599970\pi\) | |||||||
\(468\) | −168.559 | − | 18.3952i | −0.360169 | − | 0.0393060i | ||||
\(469\) | −555.093 | − | 961.449i | −1.18357 | − | 2.05000i | ||||
\(470\) | −69.1939 | + | 135.665i | −0.147221 | + | 0.288649i | ||||
\(471\) | −540.088 | + | 133.749i | −1.14668 | + | 0.283968i | ||||
\(472\) | −67.4318 | − | 196.610i | −0.142864 | − | 0.416546i | ||||
\(473\) | 38.7030 | + | 14.0867i | 0.0818246 | + | 0.0297817i | ||||
\(474\) | 157.341 | + | 310.325i | 0.331943 | + | 0.654694i | ||||
\(475\) | −794.892 | − | 140.161i | −1.67346 | − | 0.295076i | ||||
\(476\) | −633.944 | − | 44.8442i | −1.33182 | − | 0.0942106i | ||||
\(477\) | 369.707 | − | 50.7626i | 0.775067 | − | 0.106420i | ||||
\(478\) | −168.846 | + | 157.324i | −0.353233 | + | 0.329129i | ||||
\(479\) | −13.8081 | + | 16.4559i | −0.0288270 | + | 0.0343547i | −0.780265 | − | 0.625449i | \(-0.784916\pi\) |
0.751438 | + | 0.659803i | \(0.229360\pi\) | |||||||
\(480\) | −401.200 | − | 729.981i | −0.835834 | − | 1.52079i | ||||
\(481\) | −30.9596 | − | 175.581i | −0.0643652 | − | 0.365033i | ||||
\(482\) | 91.3144 | + | 215.365i | 0.189449 | + | 0.446815i | ||||
\(483\) | −11.9738 | − | 175.231i | −0.0247906 | − | 0.362796i | ||||
\(484\) | 448.887 | + | 112.305i | 0.927453 | + | 0.232036i | ||||
\(485\) | 1513.28 | 3.12016 | ||||||||
\(486\) | −448.934 | + | 186.158i | −0.923732 | + | 0.383040i | ||||
\(487\) | − | 669.554i | − | 1.37485i | −0.726254 | − | 0.687427i | \(-0.758740\pi\) | ||
0.726254 | − | 0.687427i | \(-0.241260\pi\) | |||||||
\(488\) | 275.819 | − | 457.783i | 0.565203 | − | 0.938080i | ||||
\(489\) | −9.19012 | + | 0.627979i | −0.0187937 | + | 0.00128421i | ||||
\(490\) | 599.682 | + | 1414.35i | 1.22384 | + | 2.88643i | ||||
\(491\) | 571.962 | − | 100.852i | 1.16489 | − | 0.205402i | 0.442424 | − | 0.896806i | \(-0.354119\pi\) |
0.722468 | + | 0.691404i | \(0.243007\pi\) | |||||||
\(492\) | 5.30349 | − | 29.6620i | 0.0107795 | − | 0.0602886i | ||||
\(493\) | 376.585 | + | 315.992i | 0.763864 | + | 0.640958i | ||||
\(494\) | 110.625 | − | 103.076i | 0.223937 | − | 0.208656i | ||||
\(495\) | 24.4996 | + | 178.432i | 0.0494941 | + | 0.360469i | ||||
\(496\) | −5.54490 | − | 4.34659i | −0.0111792 | − | 0.00876329i | ||||
\(497\) | −235.632 | + | 1336.34i | −0.474109 | + | 2.68881i | ||||
\(498\) | 181.597 | + | 358.165i | 0.364652 | + | 0.719207i | ||||
\(499\) | −164.520 | + | 452.016i | −0.329700 | + | 0.905844i | 0.658487 | + | 0.752592i | \(0.271197\pi\) |
−0.988187 | + | 0.153252i | \(0.951025\pi\) | |||||||
\(500\) | 515.261 | + | 710.402i | 1.03052 | + | 1.42080i | ||||
\(501\) | −66.3474 | − | 267.916i | −0.132430 | − | 0.534762i | ||||
\(502\) | 133.896 | − | 262.523i | 0.266725 | − | 0.522955i | ||||
\(503\) | 373.012 | − | 215.359i | 0.741575 | − | 0.428148i | −0.0810668 | − | 0.996709i | \(-0.525833\pi\) |
0.822642 | + | 0.568560i | \(0.192499\pi\) | |||||||
\(504\) | 775.777 | + | 333.321i | 1.53924 | + | 0.661352i | ||||
\(505\) | 323.925 | − | 561.054i | 0.641435 | − | 1.11100i | ||||
\(506\) | −19.3185 | + | 12.5345i | −0.0381788 | + | 0.0247717i | ||||
\(507\) | 259.454 | − | 355.918i | 0.511744 | − | 0.702009i | ||||
\(508\) | −407.307 | − | 181.739i | −0.801786 | − | 0.357754i | ||||
\(509\) | 444.761 | − | 373.199i | 0.873793 | − | 0.733200i | −0.0911001 | − | 0.995842i | \(-0.529038\pi\) |
0.964893 | + | 0.262642i | \(0.0845939\pi\) | |||||||
\(510\) | 482.058 | − | 514.885i | 0.945212 | − | 1.00958i | ||||
\(511\) | −180.760 | − | 496.634i | −0.353738 | − | 0.971887i | ||||
\(512\) | 230.784 | + | 457.037i | 0.450749 | + | 0.892651i | ||||
\(513\) | 135.885 | − | 411.533i | 0.264883 | − | 0.802209i | ||||
\(514\) | 183.584 | − | 599.609i | 0.357167 | − | 1.16655i | ||||
\(515\) | 413.312 | + | 1135.57i | 0.802548 | + | 2.20498i | ||||
\(516\) | −0.513222 | + | 214.294i | −0.000994616 | + | 0.415298i | ||||
\(517\) | −15.5051 | + | 13.0103i | −0.0299905 | + | 0.0251650i | ||||
\(518\) | −108.555 | + | 881.164i | −0.209565 | + | 1.70109i | ||||
\(519\) | −848.882 | − | 90.5836i | −1.63561 | − | 0.174535i | ||||
\(520\) | −326.882 | − | 6.10188i | −0.628619 | − | 0.0117344i | ||||
\(521\) | 193.570 | − | 335.273i | 0.371535 | − | 0.643517i | −0.618267 | − | 0.785968i | \(-0.712165\pi\) |
0.989802 | + | 0.142451i | \(0.0454983\pi\) | |||||||
\(522\) | −334.380 | − | 561.040i | −0.640576 | − | 1.07479i | ||||
\(523\) | 142.838 | − | 82.4674i | 0.273112 | − | 0.157681i | −0.357189 | − | 0.934032i | \(-0.616265\pi\) |
0.630301 | + | 0.776351i | \(0.282931\pi\) | |||||||
\(524\) | 45.3882 | + | 43.9018i | 0.0866187 | + | 0.0837820i | ||||
\(525\) | −1699.81 | − | 490.335i | −3.23774 | − | 0.933972i | ||||
\(526\) | −327.720 | − | 247.163i | −0.623043 | − | 0.469891i | ||||
\(527\) | 2.04045 | − | 5.60608i | 0.00387181 | − | 0.0106377i | ||||
\(528\) | −11.2193 | − | 110.136i | −0.0212486 | − | 0.208591i | ||||
\(529\) | 87.5319 | − | 496.418i | 0.165467 | − | 0.938408i | ||||
\(530\) | 701.167 | − | 161.579i | 1.32296 | − | 0.304866i | ||||
\(531\) | −222.617 | + | 71.5521i | −0.419241 | + | 0.134750i | ||||
\(532\) | −677.010 | + | 329.523i | −1.27258 | + | 0.619405i | ||||
\(533\) | −9.05997 | − | 7.60221i | −0.0169981 | − | 0.0142631i | ||||
\(534\) | −255.884 | + | 599.502i | −0.479183 | + | 1.12266i | ||||
\(535\) | 240.116 | − | 42.3389i | 0.448815 | − | 0.0791382i | ||||
\(536\) | −743.255 | − | 145.409i | −1.38667 | − | 0.271285i | ||||
\(537\) | −72.1618 | − | 107.351i | −0.134380 | − | 0.199910i | ||||
\(538\) | −28.0876 | − | 540.116i | −0.0522074 | − | 1.00393i | ||||
\(539\) | 204.173i | 0.378800i | ||||||||
\(540\) | −829.836 | + | 435.321i | −1.53673 | + | 0.806150i | ||||
\(541\) | 543.641 | 1.00488 | 0.502441 | − | 0.864612i | \(-0.332436\pi\) | ||||
0.502441 | + | 0.864612i | \(0.332436\pi\) | |||||||
\(542\) | 464.766 | − | 24.1692i | 0.857502 | − | 0.0445926i | ||||
\(543\) | −281.441 | − | 137.821i | −0.518308 | − | 0.253815i | ||||
\(544\) | −307.180 | + | 305.942i | −0.564669 | + | 0.562393i | ||||
\(545\) | 19.2660 | + | 109.263i | 0.0353504 | + | 0.200482i | ||||
\(546\) | 265.071 | − | 198.919i | 0.485478 | − | 0.364321i | ||||
\(547\) | −557.244 | + | 664.097i | −1.01873 | + | 1.21407i | −0.0421038 | + | 0.999113i | \(0.513406\pi\) |
−0.976623 | + | 0.214958i | \(0.931038\pi\) | |||||||
\(548\) | −382.321 | + | 186.088i | −0.697666 | + | 0.339577i | ||||
\(549\) | −508.884 | − | 320.237i | −0.926930 | − | 0.583310i | ||||
\(550\) | 52.0873 | + | 226.031i | 0.0947042 | + | 0.410966i | ||||
\(551\) | 573.574 | + | 101.137i | 1.04097 | + | 0.183551i | ||||
\(552\) | −95.4882 | − | 72.3754i | −0.172986 | − | 0.131115i | ||||
\(553\) | −639.032 | − | 232.589i | −1.15557 | − | 0.420594i | ||||
\(554\) | 90.6619 | − | 120.211i | 0.163650 | − | 0.216988i | ||||
\(555\) | −683.344 | − | 709.875i | −1.23125 | − | 1.27905i | ||||
\(556\) | 162.447 | + | 157.127i | 0.292172 | + | 0.282603i | ||||
\(557\) | 251.191 | + | 435.076i | 0.450972 | + | 0.781106i | 0.998447 | − | 0.0557163i | \(-0.0177442\pi\) |
−0.547475 | + | 0.836822i | \(0.684411\pi\) | |||||||
\(558\) | −5.01011 | + | 6.14190i | −0.00897868 | + | 0.0110070i | ||||
\(559\) | 72.8417 | + | 42.0552i | 0.130307 | + | 0.0752329i | ||||
\(560\) | 1547.56 | + | 505.596i | 2.76349 | + | 0.902850i | ||||
\(561\) | 85.6979 | − | 37.9923i | 0.152759 | − | 0.0677224i | ||||
\(562\) | 278.672 | + | 34.3308i | 0.495857 | + | 0.0610868i | ||||
\(563\) | −34.7389 | − | 41.4002i | −0.0617032 | − | 0.0735351i | 0.734310 | − | 0.678814i | \(-0.237506\pi\) |
−0.796013 | + | 0.605279i | \(0.793061\pi\) | |||||||
\(564\) | −91.0752 | − | 52.8735i | −0.161481 | − | 0.0937474i | ||||
\(565\) | −1715.77 | + | 624.490i | −3.03677 | + | 1.10529i | ||||
\(566\) | −268.513 | − | 82.2113i | −0.474405 | − | 0.145250i | ||||
\(567\) | 391.860 | − | 865.305i | 0.691112 | − | 1.52611i | ||||
\(568\) | 581.679 | + | 720.096i | 1.02408 | + | 1.26777i | ||||
\(569\) | 216.377 | − | 78.7548i | 0.380276 | − | 0.138409i | −0.144808 | − | 0.989460i | \(-0.546256\pi\) |
0.525083 | + | 0.851051i | \(0.324034\pi\) | |||||||
\(570\) | 189.599 | − | 813.848i | 0.332630 | − | 1.42780i | ||||
\(571\) | −305.971 | − | 364.642i | −0.535850 | − | 0.638602i | 0.428402 | − | 0.903588i | \(-0.359077\pi\) |
−0.964252 | + | 0.264987i | \(0.914632\pi\) | |||||||
\(572\) | −39.6811 | − | 17.7056i | −0.0693725 | − | 0.0309538i | ||||
\(573\) | 695.984 | − | 308.549i | 1.21463 | − | 0.538480i | ||||
\(574\) | 32.0563 | + | 49.4060i | 0.0558472 | + | 0.0860732i | ||||
\(575\) | 217.412 | + | 125.523i | 0.378108 | + | 0.218301i | ||||
\(576\) | 519.111 | − | 249.600i | 0.901234 | − | 0.433333i | ||||
\(577\) | −146.058 | − | 252.980i | −0.253133 | − | 0.438440i | 0.711253 | − | 0.702936i | \(-0.248128\pi\) |
−0.964387 | + | 0.264496i | \(0.914795\pi\) | |||||||
\(578\) | 187.866 | + | 95.8182i | 0.325028 | + | 0.165775i | ||||
\(579\) | −0.554087 | − | 0.575600i | −0.000956972 | − | 0.000994127i | ||||
\(580\) | −739.397 | − | 1019.42i | −1.27482 | − | 1.75763i | ||||
\(581\) | −737.546 | − | 268.445i | −1.26944 | − | 0.462039i | ||||
\(582\) | −56.8469 | + | 1044.89i | −0.0976751 | + | 1.79535i | ||||
\(583\) | 94.1784 | + | 16.6062i | 0.161541 | + | 0.0284840i | ||||
\(584\) | −336.433 | − | 129.612i | −0.576083 | − | 0.221939i | ||||
\(585\) | −14.0031 | + | 367.539i | −0.0239369 | + | 0.628273i | ||||
\(586\) | 453.909 | + | 487.152i | 0.774589 | + | 0.831318i | ||||
\(587\) | 536.993 | − | 639.963i | 0.914809 | − | 1.09023i | −0.0808107 | − | 0.996729i | \(-0.525751\pi\) |
0.995620 | − | 0.0934972i | \(-0.0298046\pi\) | |||||||
\(588\) | −999.112 | + | 360.939i | −1.69917 | + | 0.613843i | ||||
\(589\) | −1.22736 | − | 6.96072i | −0.00208381 | − | 0.0118179i | ||||
\(590\) | −415.098 | + | 176.001i | −0.703556 | + | 0.298306i | ||||
\(591\) | 138.100 | + | 67.6274i | 0.233672 | + | 0.114429i | ||||
\(592\) | 404.535 | + | 450.744i | 0.683336 | + | 0.761391i | ||||
\(593\) | −253.977 | −0.428292 | −0.214146 | − | 0.976802i | \(-0.568697\pi\) | ||||
−0.214146 | + | 0.976802i | \(0.568697\pi\) | |||||||
\(594\) | −124.125 | + | 10.2137i | −0.208964 | + | 0.0171947i | ||||
\(595\) | 1378.58i | 2.31694i | ||||||||
\(596\) | −454.541 | − | 113.720i | −0.762653 | − | 0.190805i | ||||
\(597\) | 166.337 | + | 247.451i | 0.278621 | + | 0.414491i | ||||
\(598\) | −43.2971 | + | 18.3579i | −0.0724032 | + | 0.0306988i | ||||
\(599\) | −1092.94 | + | 192.715i | −1.82460 | + | 0.321727i | −0.977698 | − | 0.210015i | \(-0.932649\pi\) |
−0.846907 | + | 0.531742i | \(0.821538\pi\) | |||||||
\(600\) | −1013.99 | + | 654.466i | −1.68999 | + | 1.09078i | ||||
\(601\) | 303.355 | + | 254.545i | 0.504750 | + | 0.423536i | 0.859277 | − | 0.511510i | \(-0.170914\pi\) |
−0.354527 | + | 0.935046i | \(0.615358\pi\) | |||||||
\(602\) | −285.527 | − | 306.438i | −0.474297 | − | 0.509033i | ||||
\(603\) | −179.788 | + | 832.828i | −0.298156 | + | 1.38114i | ||||
\(604\) | 991.732 | + | 70.1536i | 1.64194 | + | 0.116148i | ||||
\(605\) | 174.296 | − | 988.481i | 0.288092 | − | 1.63385i | ||||
\(606\) | 375.230 | + | 244.741i | 0.619192 | + | 0.403863i | ||||
\(607\) | −185.277 | + | 509.044i | −0.305234 | + | 0.838622i | 0.688335 | + | 0.725393i | \(0.258342\pi\) |
−0.993569 | + | 0.113230i | \(0.963880\pi\) | |||||||
\(608\) | −133.942 | + | 495.872i | −0.220300 | + | 0.815580i | ||||
\(609\) | 1226.54 | + | 353.813i | 2.01403 | + | 0.580974i | ||||
\(610\) | −1032.76 | − | 526.742i | −1.69305 | − | 0.863511i | ||||
\(611\) | −35.7965 | + | 20.6671i | −0.0585868 | + | 0.0338251i | ||||
\(612\) | 337.410 | + | 352.195i | 0.551324 | + | 0.575482i | ||||
\(613\) | −343.368 | + | 594.730i | −0.560143 | + | 0.970196i | 0.437341 | + | 0.899296i | \(0.355920\pi\) |
−0.997483 | + | 0.0709000i | \(0.977413\pi\) | |||||||
\(614\) | −221.657 | − | 341.623i | −0.361004 | − | 0.556390i | ||||
\(615\) | −64.9937 | − | 6.93544i | −0.105681 | − | 0.0112771i | ||||
\(616\) | 163.130 | + | 142.154i | 0.264821 | + | 0.230769i | ||||
\(617\) | 657.785 | − | 551.947i | 1.06610 | − | 0.894566i | 0.0714083 | − | 0.997447i | \(-0.477251\pi\) |
0.994694 | + | 0.102881i | \(0.0328062\pi\) | |||||||
\(618\) | −799.615 | + | 242.727i | −1.29388 | + | 0.392762i | ||||
\(619\) | 80.2415 | + | 220.462i | 0.129631 | + | 0.356158i | 0.987480 | − | 0.157743i | \(-0.0504219\pi\) |
−0.857849 | + | 0.513901i | \(0.828200\pi\) | |||||||
\(620\) | −8.55634 | + | 12.6632i | −0.0138005 | + | 0.0204246i | ||||
\(621\) | −83.4926 | + | 105.823i | −0.134449 | + | 0.170408i | ||||
\(622\) | −353.661 | − | 108.281i | −0.568587 | − | 0.174086i | ||||
\(623\) | −435.738 | − | 1197.18i | −0.699419 | − | 1.92164i | ||||
\(624\) | 16.4927 | − | 225.477i | 0.0264306 | − | 0.361342i | ||||
\(625\) | 495.256 | − | 415.569i | 0.792410 | − | 0.664911i | ||||
\(626\) | −220.171 | − | 27.1238i | −0.351710 | − | 0.0433287i | ||||
\(627\) | 65.4227 | − | 89.7468i | 0.104342 | − | 0.143137i | ||||
\(628\) | −203.911 | − | 713.296i | −0.324699 | − | 1.13582i | ||||
\(629\) | −256.424 | + | 444.139i | −0.407669 | + | 0.706104i | ||||
\(630\) | 602.490 | − | 1729.63i | 0.956334 | − | 2.74544i | ||||
\(631\) | −124.225 | + | 71.7213i | −0.196870 | + | 0.113663i | −0.595195 | − | 0.803582i | \(-0.702925\pi\) |
0.398325 | + | 0.917244i | \(0.369592\pi\) | |||||||
\(632\) | −406.018 | + | 224.417i | −0.642434 | + | 0.355090i | ||||
\(633\) | 73.6166 | + | 297.269i | 0.116298 | + | 0.469620i | ||||
\(634\) | −163.543 | + | 216.847i | −0.257955 | + | 0.342030i | ||||
\(635\) | −330.900 | + | 909.139i | −0.521102 | + | 1.43172i | ||||
\(636\) | 85.2279 | + | 490.214i | 0.134006 | + | 0.770776i | ||||
\(637\) | −72.4036 | + | 410.621i | −0.113663 | + | 0.644617i | ||||
\(638\) | −37.5849 | − | 163.098i | −0.0589105 | − | 0.255640i | ||||
\(639\) | 822.660 | − | 638.537i | 1.28742 | − | 0.999276i | ||||
\(640\) | 953.602 | − | 569.319i | 1.49000 | − | 0.889561i | ||||
\(641\) | 334.138 | + | 280.375i | 0.521276 | + | 0.437403i | 0.865076 | − | 0.501640i | \(-0.167270\pi\) |
−0.343800 | + | 0.939043i | \(0.611714\pi\) | |||||||
\(642\) | 20.2142 | + | 167.386i | 0.0314864 | + | 0.260727i | ||||
\(643\) | 1138.09 | − | 200.676i | 1.76997 | − | 0.312094i | 0.808809 | − | 0.588072i | \(-0.200113\pi\) |
0.961164 | + | 0.275978i | \(0.0890017\pi\) | |||||||
\(644\) | 232.922 | − | 24.2910i | 0.361681 | − | 0.0377189i | ||||
\(645\) | 463.762 | − | 31.6898i | 0.719012 | − | 0.0491314i | ||||
\(646\) | −434.349 | + | 22.5874i | −0.672366 | + | 0.0349650i | ||||
\(647\) | − | 935.380i | − | 1.44572i | −0.690995 | − | 0.722859i | \(-0.742827\pi\) | ||
0.690995 | − | 0.722859i | \(-0.257173\pi\) | |||||||
\(648\) | −269.409 | − | 589.341i | −0.415754 | − | 0.909477i | ||||
\(649\) | −59.9229 | −0.0923312 | ||||||||
\(650\) | 24.6000 | + | 473.052i | 0.0378462 | + | 0.727772i | ||||
\(651\) | −1.05613 | − | 15.4558i | −0.00162231 | − | 0.0237417i | ||||
\(652\) | −1.27396 | − | 12.2158i | −0.00195393 | − | 0.0187359i | ||||
\(653\) | −140.779 | − | 798.399i | −0.215588 | − | 1.22266i | −0.879882 | − | 0.475191i | \(-0.842379\pi\) |
0.664294 | − | 0.747471i | \(-0.268732\pi\) | |||||||
\(654\) | −76.1679 | + | 9.19834i | −0.116465 | + | 0.0140647i | ||||
\(655\) | 88.0464 | − | 104.930i | 0.134422 | − | 0.160198i | ||||
\(656\) | 39.7765 | + | 5.65575i | 0.0606348 | + | 0.00862157i | ||||
\(657\) | −153.135 | + | 375.584i | −0.233082 | + | 0.571666i | ||||
\(658\) | 200.575 | − | 46.2211i | 0.304825 | − | 0.0702448i | ||||
\(659\) | 209.650 | + | 36.9669i | 0.318133 | + | 0.0560954i | 0.330435 | − | 0.943829i | \(-0.392805\pi\) |
−0.0123016 | + | 0.999924i | \(0.503916\pi\) | |||||||
\(660\) | −236.592 | + | 41.1336i | −0.358473 | + | 0.0623237i | ||||
\(661\) | −88.9075 | − | 32.3597i | −0.134505 | − | 0.0489556i | 0.273891 | − | 0.961761i | \(-0.411689\pi\) |
−0.408395 | + | 0.912805i | \(0.633912\pi\) | |||||||
\(662\) | 284.235 | + | 214.366i | 0.429358 | + | 0.323816i | ||||
\(663\) | 185.823 | − | 46.0177i | 0.280276 | − | 0.0694083i | ||||
\(664\) | −468.610 | + | 259.013i | −0.705738 | + | 0.390080i | ||||
\(665\) | 816.640 | + | 1414.46i | 1.22803 | + | 2.12701i | ||||
\(666\) | 515.827 | − | 445.171i | 0.774515 | − | 0.668425i | ||||
\(667\) | −156.879 | − | 90.5741i | −0.235201 | − | 0.135793i | ||||
\(668\) | 353.837 | − | 101.152i | 0.529697 | − | 0.151425i | ||||
\(669\) | −797.693 | − | 581.494i | −1.19237 | − | 0.869199i | ||||
\(670\) | −200.868 | + | 1630.49i | −0.299803 | + | 2.43357i | ||||
\(671\) | −99.0416 | − | 118.033i | −0.147603 | − | 0.175906i | ||||
\(672\) | −407.240 | + | 1049.57i | −0.606012 | + | 1.56186i | ||||
\(673\) | −635.081 | + | 231.150i | −0.943656 | + | 0.343463i | −0.767609 | − | 0.640919i | \(-0.778553\pi\) |
−0.176048 | + | 0.984382i | \(0.556331\pi\) | |||||||
\(674\) | −340.994 | + | 1113.73i | −0.505926 | + | 1.65242i | ||||
\(675\) | 713.988 | + | 1154.82i | 1.05776 | + | 1.71085i | ||||
\(676\) | 486.598 | + | 328.787i | 0.719820 | + | 0.486371i | ||||
\(677\) | −916.610 | + | 333.619i | −1.35393 | + | 0.492790i | −0.914172 | − | 0.405327i | \(-0.867158\pi\) |
−0.439757 | + | 0.898117i | \(0.644935\pi\) | |||||||
\(678\) | −366.746 | − | 1208.17i | −0.540924 | − | 1.78196i | ||||
\(679\) | −1314.68 | − | 1566.78i | −1.93621 | − | 2.30748i | ||||
\(680\) | 709.008 | + | 617.841i | 1.04266 | + | 0.908589i | ||||
\(681\) | 109.860 | − | 1029.52i | 0.161321 | − | 1.51178i | ||||
\(682\) | −1.70394 | + | 1.10558i | −0.00249845 | + | 0.00162108i | ||||
\(683\) | −193.748 | − | 111.861i | −0.283672 | − | 0.163778i | 0.351412 | − | 0.936221i | \(-0.385701\pi\) |
−0.635085 | + | 0.772442i | \(0.719035\pi\) | |||||||
\(684\) | 554.826 | + | 161.488i | 0.811149 | + | 0.236093i | ||||
\(685\) | 461.172 | + | 798.774i | 0.673244 | + | 1.16609i | ||||
\(686\) | 421.205 | − | 825.837i | 0.614001 | − | 1.20384i | ||||
\(687\) | 242.084 | − | 839.218i | 0.352379 | − | 1.22157i | ||||
\(688\) | −285.568 | + | 9.51043i | −0.415069 | + | 0.0138233i | ||||
\(689\) | 183.517 | + | 66.7948i | 0.266353 | + | 0.0969445i | ||||
\(690\) | −141.989 | + | 217.693i | −0.205780 | + | 0.315497i | ||||
\(691\) | 204.026 | + | 35.9752i | 0.295262 | + | 0.0520626i | 0.319317 | − | 0.947648i | \(-0.396547\pi\) |
−0.0240551 | + | 0.999711i | \(0.507658\pi\) | |||||||
\(692\) | 80.3186 | − | 1135.43i | 0.116067 | − | 1.64080i | ||||
\(693\) | 163.456 | − | 180.382i | 0.235867 | − | 0.260291i | ||||
\(694\) | −398.228 | + | 371.053i | −0.573816 | + | 0.534659i | ||||
\(695\) | 315.124 | − | 375.550i | 0.453416 | − | 0.540360i | ||||
\(696\) | 731.671 | − | 472.246i | 1.05125 | − | 0.678515i | ||||
\(697\) | 5.90752 | + | 33.5032i | 0.00847565 | + | 0.0480678i | ||||
\(698\) | 199.063 | + | 469.489i | 0.285190 | + | 0.672621i | ||||
\(699\) | −246.700 | + | 165.832i | −0.352932 | + | 0.237242i | ||||
\(700\) | 572.501 | − | 2288.30i | 0.817859 | − | 3.26900i | ||||
\(701\) | −318.924 | −0.454955 | −0.227478 | − | 0.973783i | \(-0.573048\pi\) | ||||
−0.227478 | + | 0.973783i | \(0.573048\pi\) | |||||||
\(702\) | −253.254 | − | 23.4757i | −0.360760 | − | 0.0334412i | ||||
\(703\) | 607.600i | 0.864296i | ||||||||
\(704\) | 146.221 | − | 20.1888i | 0.207700 | − | 0.0286773i | ||||
\(705\) | −100.466 | + | 205.159i | −0.142505 | + | 0.291006i | ||||
\(706\) | −179.618 | − | 423.628i | −0.254416 | − | 0.600040i | ||||
\(707\) | −862.306 | + | 152.048i | −1.21967 | + | 0.215060i | ||||
\(708\) | −105.932 | − | 293.230i | −0.149622 | − | 0.414166i | ||||
\(709\) | 469.253 | + | 393.750i | 0.661852 | + | 0.555360i | 0.910641 | − | 0.413198i | \(-0.135588\pi\) |
−0.248789 | + | 0.968558i | \(0.580033\pi\) | |||||||
\(710\) | 1469.09 | − | 1368.84i | 2.06915 | − | 1.92795i | ||||
\(711\) | 243.553 | + | 461.586i | 0.342550 | + | 0.649207i | ||||
\(712\) | −811.000 | − | 312.442i | −1.13905 | − | 0.438823i | ||||
\(713\) | −0.381741 | + | 2.16496i | −0.000535401 | + | 0.00303641i | ||||
\(714\) | −951.885 | − | 51.7869i | −1.33317 | − | 0.0725307i | ||||
\(715\) | −32.2372 | + | 88.5710i | −0.0450870 | + | 0.123876i | ||||
\(716\) | 139.611 | − | 101.261i | 0.194988 | − | 0.141426i | ||||
\(717\) | −249.396 | + | 240.075i | −0.347832 | + | 0.334832i | ||||
\(718\) | 538.994 | − | 1056.78i | 0.750688 | − | 1.47184i | ||||
\(719\) | −983.957 | + | 568.088i | −1.36851 | + | 0.790108i | −0.990737 | − | 0.135792i | \(-0.956642\pi\) |
−0.377770 | + | 0.925900i | \(0.623309\pi\) | |||||||
\(720\) | −619.535 | − | 1085.04i | −0.860465 | − | 1.50699i | ||||
\(721\) | 816.643 | − | 1414.47i | 1.13265 | − | 1.96181i | ||||
\(722\) | 173.405 | − | 112.511i | 0.240173 | − | 0.155832i | ||||
\(723\) | 142.209 | + | 320.776i | 0.196693 | + | 0.443674i | ||||
\(724\) | 170.256 | − | 381.572i | 0.235161 | − | 0.527034i | ||||
\(725\) | −1397.73 | + | 1172.84i | −1.92791 | + | 1.61771i | ||||
\(726\) | 675.982 | + | 157.481i | 0.931105 | + | 0.216916i | ||||
\(727\) | 393.913 | + | 1082.27i | 0.541834 | + | 1.48868i | 0.844487 | + | 0.535576i | \(0.179905\pi\) |
−0.302653 | + | 0.953101i | \(0.597872\pi\) | |||||||
\(728\) | 277.666 | + | 343.740i | 0.381410 | + | 0.472171i | ||||
\(729\) | −668.768 | + | 290.155i | −0.917378 | + | 0.398018i | ||||
\(730\) | −228.957 | + | 747.804i | −0.313639 | + | 1.02439i | ||||
\(731\) | −82.7492 | − | 227.352i | −0.113200 | − | 0.311015i | ||||
\(732\) | 402.502 | − | 693.315i | 0.549867 | − | 0.947151i | ||||
\(733\) | 405.935 | − | 340.620i | 0.553800 | − | 0.464693i | −0.322426 | − | 0.946595i | \(-0.604498\pi\) |
0.876225 | + | 0.481902i | \(0.160054\pi\) | |||||||
\(734\) | −81.5182 | + | 661.703i | −0.111060 | + | 0.901503i | ||||
\(735\) | 933.919 | + | 2106.61i | 1.27064 | + | 2.86613i | ||||
\(736\) | 91.8965 | − | 130.679i | 0.124859 | − | 0.177554i | ||||
\(737\) | −109.170 | + | 189.088i | −0.148127 | + | 0.256564i | ||||
\(738\) | 7.23032 | − | 44.6165i | 0.00979718 | − | 0.0604560i | ||||
\(739\) | −1010.52 | + | 583.424i | −1.36742 | + | 0.789478i | −0.990597 | − | 0.136809i | \(-0.956315\pi\) |
−0.376819 | + | 0.926287i | \(0.622982\pi\) | |||||||
\(740\) | 913.390 | − | 944.315i | 1.23431 | − | 1.27610i | ||||
\(741\) | 163.400 | − | 157.293i | 0.220513 | − | 0.212271i | ||||
\(742\) | −776.442 | − | 585.583i | −1.04642 | − | 0.789195i | ||||
\(743\) | 297.963 | − | 818.648i | 0.401028 | − | 1.10181i | −0.560751 | − | 0.827985i | \(-0.689487\pi\) |
0.961778 | − | 0.273829i | \(-0.0882904\pi\) | |||||||
\(744\) | −8.42232 | − | 6.38371i | −0.0113203 | − | 0.00858025i | ||||
\(745\) | −176.491 | + | 1000.93i | −0.236901 | + | 1.34353i | ||||
\(746\) | −121.624 | + | 28.0274i | −0.163035 | + | 0.0375703i | ||||
\(747\) | 281.100 | + | 532.745i | 0.376305 | + | 0.713179i | ||||
\(748\) | 54.7009 | + | 112.384i | 0.0731295 | + | 0.150246i | ||||
\(749\) | −252.441 | − | 211.823i | −0.337037 | − | 0.282807i | ||||
\(750\) | 790.126 | + | 1052.89i | 1.05350 | + | 1.40385i | ||||
\(751\) | 925.603 | − | 163.209i | 1.23249 | − | 0.217322i | 0.480798 | − | 0.876832i | \(-0.340347\pi\) |
0.751696 | + | 0.659510i | \(0.229236\pi\) | |||||||
\(752\) | 66.1205 | − | 123.872i | 0.0879263 | − | 0.164723i | ||||
\(753\) | 194.411 | − | 397.000i | 0.258182 | − | 0.527225i | ||||
\(754\) | −17.7508 | − | 341.342i | −0.0235421 | − | 0.452708i | ||||
\(755\) | − | 2156.62i | − | 2.85646i | ||||||
\(756\) | 1171.65 | + | 480.984i | 1.54980 | + | 0.636222i | ||||
\(757\) | 1407.53 | 1.85935 | 0.929677 | − | 0.368376i | \(-0.120086\pi\) | ||||
0.929677 | + | 0.368376i | \(0.120086\pi\) | |||||||
\(758\) | −682.860 | + | 35.5107i | −0.900871 | + | 0.0468478i | ||||
\(759\) | −28.6680 | + | 19.2707i | −0.0377707 | + | 0.0253896i | ||||
\(760\) | 1093.46 | + | 213.922i | 1.43876 | + | 0.281476i | ||||
\(761\) | −40.6037 | − | 230.275i | −0.0533558 | − | 0.302596i | 0.946438 | − | 0.322884i | \(-0.104653\pi\) |
−0.999794 | + | 0.0202889i | \(0.993541\pi\) | |||||||
\(762\) | −615.315 | − | 262.633i | −0.807500 | − | 0.344663i | ||||
\(763\) | 96.3883 | − | 114.871i | 0.126328 | − | 0.150552i | ||||
\(764\) | 444.246 | + | 912.709i | 0.581474 | + | 1.19465i | ||||
\(765\) | 710.426 | − | 783.989i | 0.928662 | − | 1.02482i | ||||
\(766\) | 78.9755 | + | 342.712i | 0.103101 | + | 0.447405i | ||||
\(767\) | −120.513 | − | 21.2498i | −0.157123 | − | 0.0277050i | ||||
\(768\) | 357.283 | + | 679.833i | 0.465212 | + | 0.885199i | ||||
\(769\) | 352.803 | + | 128.410i | 0.458781 | + | 0.166983i | 0.561064 | − | 0.827773i | \(-0.310392\pi\) |
−0.102282 | + | 0.994755i | \(0.532615\pi\) | |||||||
\(770\) | 282.620 | − | 374.735i | 0.367039 | − | 0.486669i | ||||
\(771\) | 260.706 | − | 903.774i | 0.338141 | − | 1.17221i | ||||
\(772\) | 0.740619 | − | 0.765694i | 0.000959351 | − | 0.000991832i | ||||
\(773\) | 82.5621 | + | 143.002i | 0.106807 | + | 0.184996i | 0.914475 | − | 0.404642i | \(-0.132604\pi\) |
−0.807668 | + | 0.589638i | \(0.799271\pi\) | |||||||
\(774\) | 4.45982 | + | 321.411i | 0.00576204 | + | 0.415259i | ||||
\(775\) | 19.1763 | + | 11.0715i | 0.0247437 | + | 0.0142858i | ||||
\(776\) | −1395.01 | − | 26.0405i | −1.79769 | − | 0.0335573i | ||||
\(777\) | −141.307 | + | 1324.22i | −0.181862 | + | 1.70427i | ||||
\(778\) | 206.214 | + | 25.4044i | 0.265057 | + | 0.0326535i | ||||
\(779\) | 25.9079 | + | 30.8758i | 0.0332579 | + | 0.0396352i | ||||
\(780\) | −490.407 | − | 1.17450i | −0.628727 | − | 0.00150577i | ||||
\(781\) | 250.777 | − | 91.2753i | 0.321097 | − | 0.116870i | ||||
\(782\) | 129.349 | + | 39.6031i | 0.165408 | + | 0.0506434i | ||||
\(783\) | −515.196 | − | 833.289i | −0.657977 | − | 1.06423i | ||||
\(784\) | −528.476 | − | 1314.13i | −0.674076 | − | 1.67619i | ||||
\(785\) | −1512.20 | + | 550.397i | −1.92637 | + | 0.701142i | ||||
\(786\) | 69.1446 | + | 64.7363i | 0.0879703 | + | 0.0823617i | ||||
\(787\) | 681.597 | + | 812.295i | 0.866070 | + | 1.03214i | 0.999158 | + | 0.0410374i | \(0.0130663\pi\) |
−0.133088 | + | 0.991104i | \(0.542489\pi\) | |||||||
\(788\) | −83.5428 | + | 187.233i | −0.106019 | + | 0.237605i | ||||
\(789\) | −497.547 | − | 362.697i | −0.630605 | − | 0.459692i | ||||
\(790\) | 547.734 | + | 844.183i | 0.693334 | + | 1.06859i | ||||
\(791\) | 2137.18 | + | 1233.90i | 2.70187 | + | 1.55992i | ||||
\(792\) | −19.5144 | − | 164.908i | −0.0246394 | − | 0.208217i | ||||
\(793\) | −157.330 | − | 272.503i | −0.198398 | − | 0.343636i | ||||
\(794\) | −1101.24 | − | 561.672i | −1.38696 | − | 0.707396i | ||||
\(795\) | 1047.67 | − | 259.447i | 1.31782 | − | 0.326349i | ||||
\(796\) | −321.812 | + | 233.413i | −0.404286 | + | 0.293233i | ||||
\(797\) | 649.352 | + | 236.345i | 0.814745 | + | 0.296543i | 0.715583 | − | 0.698528i | \(-0.246161\pi\) |
0.0991628 | + | 0.995071i | \(0.468384\pi\) | |||||||
\(798\) | −1007.34 | + | 510.741i | −1.26233 | + | 0.640026i | ||||
\(799\) | 117.091 | + | 20.6464i | 0.146547 | + | 0.0258402i | ||||
\(800\) | −920.303 | − | 1319.99i | −1.15038 | − | 1.64999i | ||||
\(801\) | −369.145 | + | 905.379i | −0.460855 | + | 1.13031i | ||||
\(802\) | −280.976 | − | 301.554i | −0.350344 | − | 0.376003i | ||||
\(803\) | −66.8122 | + | 79.6236i | −0.0832032 | + | 0.0991577i | ||||
\(804\) | −1118.28 | − | 199.946i | −1.39090 | − | 0.248689i | ||||
\(805\) | −88.2118 | − | 500.274i | −0.109580 | − | 0.621459i | ||||
\(806\) | −3.81892 | + | 1.61922i | −0.00473812 | + | 0.00200895i | ||||
\(807\) | −55.3066 | − | 809.381i | −0.0685336 | − | 1.00295i | ||||
\(808\) | −308.263 | + | 511.631i | −0.381514 | + | 0.633207i | ||||
\(809\) | 10.7246 | 0.0132566 | 0.00662832 | − | 0.999978i | \(-0.497890\pi\) | ||||
0.00662832 | + | 0.999978i | \(0.497890\pi\) | |||||||
\(810\) | −1233.97 | + | 673.146i | −1.52342 | + | 0.831044i | ||||
\(811\) | − | 1400.90i | − | 1.72738i | −0.504026 | − | 0.863688i | \(-0.668148\pi\) | ||
0.504026 | − | 0.863688i | \(-0.331852\pi\) | |||||||
\(812\) | −413.102 | + | 1651.18i | −0.508747 | + | 2.03347i | ||||
\(813\) | 696.467 | − | 47.5909i | 0.856663 | − | 0.0585374i | ||||
\(814\) | 160.755 | − | 68.1600i | 0.197488 | − | 0.0837347i | ||||
\(815\) | −26.2373 | + | 4.62635i | −0.0321930 | + | 0.00567650i | ||||
\(816\) | −453.243 | + | 466.349i | −0.555445 | + | 0.571506i | ||||
\(817\) | −219.581 | − | 184.251i | −0.268766 | − | 0.225521i | ||||
\(818\) | −351.756 | − | 377.518i | −0.430020 | − | 0.461513i | ||||
\(819\) | 392.700 | − | 304.808i | 0.479487 | − | 0.372171i | ||||
\(820\) | 6.14951 | − | 86.9331i | 0.00749940 | − | 0.106016i | ||||
\(821\) | 142.689 | − | 809.228i | 0.173799 | − | 0.985661i | −0.765723 | − | 0.643171i | \(-0.777619\pi\) |
0.939521 | − | 0.342490i | \(-0.111270\pi\) | |||||||
\(822\) | −568.864 | + | 288.425i | −0.692049 | + | 0.350882i | ||||
\(823\) | −321.791 | + | 884.112i | −0.390997 | + | 1.07426i | 0.575550 | + | 0.817767i | \(0.304788\pi\) |
−0.966547 | + | 0.256489i | \(0.917434\pi\) | |||||||
\(824\) | −361.469 | − | 1053.93i | −0.438676 | − | 1.27904i | ||||
\(825\) | 83.6366 | + | 337.731i | 0.101378 | + | 0.409371i | ||||
\(826\) | 542.847 | + | 276.870i | 0.657199 | + | 0.335194i | ||||
\(827\) | −876.335 | + | 505.952i | −1.05965 | + | 0.611792i | −0.925337 | − | 0.379146i | \(-0.876218\pi\) |
−0.134318 | + | 0.990938i | \(0.542884\pi\) | |||||||
\(828\) | −144.979 | − | 106.218i | −0.175096 | − | 0.128283i | ||||
\(829\) | −460.400 | + | 797.436i | −0.555368 | + | 0.961925i | 0.442507 | + | 0.896765i | \(0.354089\pi\) |
−0.997875 | + | 0.0651600i | \(0.979244\pi\) | |||||||
\(830\) | 632.173 | + | 974.323i | 0.761655 | + | 1.17388i | ||||
\(831\) | 133.041 | − | 182.506i | 0.160098 | − | 0.219622i | ||||
\(832\) | 301.229 | + | 11.2500i | 0.362055 | + | 0.0135216i | ||||
\(833\) | 918.770 | − | 770.939i | 1.10296 | − | 0.925497i | ||||
\(834\) | 247.473 | + | 231.696i | 0.296731 | + | 0.277813i | ||||
\(835\) | −273.030 | − | 750.143i | −0.326982 | − | 0.898375i | ||||
\(836\) | 122.698 | + | 82.9054i | 0.146768 | + | 0.0991691i | ||||
\(837\) | −7.36428 | + | 9.33389i | −0.00879842 | + | 0.0111516i | ||||
\(838\) | −233.571 | − | 71.5130i | −0.278725 | − | 0.0853377i | ||||
\(839\) | 139.473 | + | 383.198i | 0.166237 | + | 0.456732i | 0.994640 | − | 0.103401i | \(-0.0329723\pi\) |
−0.828403 | + | 0.560133i | \(0.810750\pi\) | |||||||
\(840\) | 2333.36 | + | 720.528i | 2.77781 | + | 0.857771i | ||||
\(841\) | 364.326 | − | 305.706i | 0.433206 | − | 0.363503i | ||||
\(842\) | −220.153 | − | 27.1217i | −0.261465 | − | 0.0322110i | ||||
\(843\) | 418.790 | + | 44.6888i | 0.496785 | + | 0.0530116i | ||||
\(844\) | −392.605 | + | 112.235i | −0.465171 | + | 0.132979i | ||||
\(845\) | 636.942 | − | 1103.22i | 0.753777 | − | 1.30558i | ||||
\(846\) | −137.885 | − | 77.0772i | −0.162985 | − | 0.0911078i | ||||
\(847\) | −1174.85 | + | 678.302i | −1.38708 | + | 0.800828i | ||||
\(848\) | −649.148 | + | 136.885i | −0.765504 | + | 0.161421i | ||||
\(849\) | −404.723 | − | 116.748i | −0.476705 | − | 0.137512i | ||||
\(850\) | 820.452 | − | 1087.86i | 0.965238 | − | 1.27984i | ||||
\(851\) | 64.6347 | − | 177.582i | 0.0759514 | − | 0.208675i | ||||
\(852\) | 889.976 | + | 1065.81i | 1.04457 | + | 1.25095i | ||||
\(853\) | −199.253 | + | 1130.02i | −0.233591 | + | 1.32476i | 0.611970 | + | 0.790881i | \(0.290377\pi\) |
−0.845561 | + | 0.533879i | \(0.820734\pi\) | |||||||
\(854\) | 351.860 | + | 1526.89i | 0.412015 | + | 1.78792i | ||||
\(855\) | 264.500 | − | 1225.24i | 0.309357 | − | 1.43303i | ||||
\(856\) | −222.078 | + | 34.8980i | −0.259437 | + | 0.0407687i | ||||
\(857\) | 248.410 | + | 208.441i | 0.289861 | + | 0.243222i | 0.776109 | − | 0.630599i | \(-0.217191\pi\) |
−0.486249 | + | 0.873821i | \(0.661635\pi\) | |||||||
\(858\) | −59.9458 | − | 25.5865i | −0.0698669 | − | 0.0298211i | ||||
\(859\) | −978.617 | + | 172.557i | −1.13925 | + | 0.200881i | −0.711278 | − | 0.702910i | \(-0.751883\pi\) |
−0.427974 | + | 0.903791i | \(0.640772\pi\) | |||||||
\(860\) | 64.2880 | + | 616.449i | 0.0747535 | + | 0.716801i | ||||
\(861\) | 49.2837 | + | 73.3169i | 0.0572401 | + | 0.0851532i | ||||
\(862\) | −1394.00 | + | 72.4922i | −1.61717 | + | 0.0840976i | ||||
\(863\) | 1635.75i | 1.89543i | 0.319121 | + | 0.947714i | \(0.396613\pi\) | ||||
−0.319121 | + | 0.947714i | \(0.603387\pi\) | |||||||
\(864\) | 772.472 | − | 387.019i | 0.894065 | − | 0.447938i | ||||
\(865\) | −2469.11 | −2.85447 | ||||||||
\(866\) | −62.3130 | − | 1198.26i | −0.0719550 | − | 1.38367i | ||||
\(867\) | 284.100 | + | 139.124i | 0.327682 | + | 0.160466i | ||||
\(868\) | 20.5444 | − | 2.14253i | 0.0236687 | − | 0.00246835i | ||||
\(869\) | 23.2244 | + | 131.712i | 0.0267254 | + | 0.151567i | ||||
\(870\) | −1133.83 | − | 1510.89i | −1.30325 | − | 1.73665i | ||||
\(871\) | −286.610 | + | 341.568i | −0.329059 | + | 0.392157i | ||||
\(872\) | −15.8801 | − | 101.055i | −0.0182111 | − | 0.115889i | ||||
\(873\) | −59.7599 | + | 1568.52i | −0.0684535 | + | 1.79670i | ||||
\(874\) | 156.176 | − | 35.9897i | 0.178691 | − | 0.0411781i | ||||
\(875\) | −2533.82 | − | 446.780i | −2.89579 | − | 0.510606i | ||||
\(876\) | −507.745 | − | 186.182i | −0.579618 | − | 0.212537i | ||||
\(877\) | 1496.49 | + | 544.677i | 1.70637 | + | 0.621068i | 0.996525 | − | 0.0832905i | \(-0.0265429\pi\) |
0.709845 | + | 0.704358i | \(0.248765\pi\) | |||||||
\(878\) | 1245.69 | + | 939.486i | 1.41878 | + | 1.07003i | ||||
\(879\) | 692.662 | + | 719.554i | 0.788011 | + | 0.818606i | ||||
\(880\) | −66.0650 | − | 313.299i | −0.0750738 | − | 0.356021i | ||||
\(881\) | −418.502 | − | 724.867i | −0.475031 | − | 0.822777i | 0.524560 | − | 0.851373i | \(-0.324230\pi\) |
−0.999591 | + | 0.0285961i | \(0.990896\pi\) | |||||||
\(882\) | −1489.66 | + | 565.719i | −1.68896 | + | 0.641405i | ||||
\(883\) | 951.790 | + | 549.516i | 1.07791 | + | 0.622329i | 0.930331 | − | 0.366722i | \(-0.119520\pi\) |
0.147575 | + | 0.989051i | \(0.452853\pi\) | |||||||
\(884\) | 70.1578 | + | 245.417i | 0.0793640 | + | 0.277621i | ||||
\(885\) | −618.269 | + | 274.096i | −0.698609 | + | 0.309713i | ||||
\(886\) | 169.568 | − | 1376.43i | 0.191387 | − | 1.55353i | ||||
\(887\) | −607.213 | − | 723.649i | −0.684570 | − | 0.815838i | 0.306118 | − | 0.951994i | \(-0.400970\pi\) |
−0.990688 | + | 0.136155i | \(0.956525\pi\) | |||||||
\(888\) | 617.722 | + | 666.154i | 0.695633 | + | 0.750173i | ||||
\(889\) | 1228.76 | − | 447.231i | 1.38218 | − | 0.503072i | ||||
\(890\) | −551.921 | + | 1802.65i | −0.620135 | + | 2.02545i | ||||
\(891\) | −185.913 | + | 18.3476i | −0.208657 | + | 0.0205921i | ||||
\(892\) | 736.885 | − | 1090.58i | 0.826104 | − | 1.22262i | ||||
\(893\) | 132.370 | − | 48.1786i | 0.148230 | − | 0.0539514i | ||||
\(894\) | −684.497 | − | 159.465i | −0.765657 | − | 0.178372i | ||||
\(895\) | −240.476 | − | 286.588i | −0.268688 | − | 0.320210i | ||||
\(896\) | −1417.91 | − | 492.712i | −1.58248 | − | 0.549902i | ||||
\(897\) | −64.4891 | + | 28.5898i | −0.0718942 | + | 0.0318727i | ||||
\(898\) | 885.846 | − | 574.767i | 0.986466 | − | 0.640052i | ||||
\(899\) | −13.8372 | − | 7.98889i | −0.0153917 | − | 0.00888642i | ||||
\(900\) | −1504.81 | + | 1006.31i | −1.67202 | + | 1.11813i | ||||
\(901\) | −280.882 | − | 486.501i | −0.311744 | − | 0.539957i | ||||
\(902\) | 5.26263 | − | 10.3182i | 0.00583440 | − | 0.0114392i | ||||
\(903\) | −435.712 | − | 452.628i | −0.482516 | − | 0.501249i | ||||
\(904\) | 1592.42 | − | 546.158i | 1.76153 | − | 0.604157i | ||||
\(905\) | −851.697 | − | 309.992i | −0.941102 | − | 0.342533i | ||||
\(906\) | 1489.11 | + | 81.0146i | 1.64361 | + | 0.0894201i | ||||
\(907\) | −1707.97 | − | 301.161i | −1.88310 | − | 0.332041i | −0.890647 | − | 0.454696i | \(-0.849748\pi\) |
−0.992449 | + | 0.122655i | \(0.960859\pi\) | |||||||
\(908\) | 1377.05 | + | 97.4103i | 1.51657 | + | 0.107280i | ||||
\(909\) | 568.743 | + | 357.906i | 0.625680 | + | 0.393736i | ||||
\(910\) | 701.277 | − | 653.422i | 0.770634 | − | 0.718046i | ||||
\(911\) | −242.902 | + | 289.479i | −0.266632 | + | 0.317760i | −0.882703 | − | 0.469931i | \(-0.844279\pi\) |
0.616071 | + | 0.787691i | \(0.288723\pi\) | |||||||
\(912\) | −188.786 | + | 746.979i | −0.207002 | + | 0.819056i | ||||
\(913\) | 26.8047 | + | 152.017i | 0.0293589 | + | 0.166503i | ||||
\(914\) | 104.127 | + | 245.583i | 0.113924 | + | 0.268690i | ||||
\(915\) | −1561.79 | − | 764.805i | −1.70687 | − | 0.835853i | ||||
\(916\) | 1129.76 | + | 282.650i | 1.23336 | + | 0.308570i | ||||
\(917\) | −185.131 | −0.201888 | ||||||||
\(918\) | 514.644 | + | 519.988i | 0.560614 | + | 0.566436i | ||||
\(919\) | 577.379i | 0.628268i | 0.949379 | + | 0.314134i | \(0.101714\pi\) | ||||
−0.949379 | + | 0.314134i | \(0.898286\pi\) | |||||||
\(920\) | −296.827 | − | 178.842i | −0.322638 | − | 0.194393i | ||||
\(921\) | −340.778 | − | 506.958i | −0.370009 | − | 0.550443i | ||||
\(922\) | −413.714 | − | 975.744i | −0.448713 | − | 1.05829i | ||||
\(923\) | 536.715 | − | 94.6374i | 0.581490 | − | 0.102532i | ||||
\(924\) | 248.131 | + | 209.222i | 0.268541 | + | 0.226430i | ||||
\(925\) | −1458.16 | − | 1223.54i | −1.57639 | − | 1.32275i | ||||
\(926\) | −717.001 | + | 668.074i | −0.774300 | + | 0.721462i | ||||
\(927\) | −1193.34 | + | 383.556i | −1.28731 | + | 0.413760i | ||||
\(928\) | 664.068 | + | 952.474i | 0.715590 | + | 1.02637i | ||||
\(929\) | 58.9907 | − | 334.553i | 0.0634991 | − | 0.360121i | −0.936457 | − | 0.350782i | \(-0.885916\pi\) |
0.999956 | − | 0.00933976i | \(-0.00297298\pi\) | |||||||
\(930\) | −12.5238 | + | 19.2011i | −0.0134664 | + | 0.0206464i | ||||
\(931\) | 485.997 | − | 1335.27i | 0.522016 | − | 1.43423i | ||||
\(932\) | −232.704 | − | 320.835i | −0.249683 | − | 0.344243i | ||||
\(933\) | −533.064 | − | 153.770i | −0.571344 | − | 0.164812i | ||||
\(934\) | −176.539 | + | 346.133i | −0.189014 | + | 0.370592i | ||||
\(935\) | 234.801 | − | 135.562i | 0.251124 | − | 0.144986i | ||||
\(936\) | 19.2333 | − | 338.574i | 0.0205484 | − | 0.361724i | ||||
\(937\) | 583.029 | − | 1009.84i | 0.622230 | − | 1.07773i | −0.366840 | − | 0.930284i | \(-0.619560\pi\) |
0.989070 | − | 0.147449i | \(-0.0471063\pi\) | |||||||
\(938\) | 1862.65 | − | 1208.55i | 1.98577 | − | 1.28843i | ||||
\(939\) | −330.874 | − | 35.3073i | −0.352368 | − | 0.0376010i | ||||
\(940\) | −278.151 | − | 124.110i | −0.295905 | − | 0.132032i | ||||
\(941\) | 398.127 | − | 334.068i | 0.423089 | − | 0.355014i | −0.406248 | − | 0.913763i | \(-0.633163\pi\) |
0.829337 | + | 0.558749i | \(0.188718\pi\) | |||||||
\(942\) | −323.233 | − | 1064.83i | −0.343135 | − | 1.13039i | ||||
\(943\) | −4.28758 | − | 11.7800i | −0.00454675 | − | 0.0124921i | ||||
\(944\) | 385.685 | − | 155.102i | 0.408564 | − | 0.164303i | ||||
\(945\) | 861.407 | − | 2608.80i | 0.911542 | − | 2.76064i | ||||
\(946\) | −24.1156 | + | 78.7647i | −0.0254921 | + | 0.0832608i | ||||
\(947\) | 456.322 | + | 1253.73i | 0.481861 | + | 1.32390i | 0.907896 | + | 0.419195i | \(0.137688\pi\) |
−0.426036 | + | 0.904706i | \(0.640090\pi\) | |||||||
\(948\) | −603.470 | + | 346.489i | −0.636572 | + | 0.365495i | ||||
\(949\) | −162.605 | + | 136.441i | −0.171343 | + | 0.143774i | ||||
\(950\) | 197.382 | − | 1602.20i | 0.207770 | − | 1.68652i | ||||
\(951\) | −239.990 | + | 329.218i | −0.252356 | + | 0.346181i | ||||
\(952\) | 23.7226 | − | 1270.84i | 0.0249187 | − | 1.33491i | ||||
\(953\) | 8.15378 | − | 14.1228i | 0.00855591 | − | 0.0148193i | −0.861716 | − | 0.507391i | \(-0.830610\pi\) |
0.870272 | + | 0.492572i | \(0.163943\pi\) | |||||||
\(954\) | 139.788 | + | 733.143i | 0.146528 | + | 0.768494i | ||||
\(955\) | 1906.90 | − | 1100.95i | 1.99676 | − | 1.15283i | ||||
\(956\) | −331.760 | − | 320.895i | −0.347029 | − | 0.335664i | ||||
\(957\) | −60.3500 | − | 243.698i | −0.0630617 | − | 0.254648i | ||||
\(958\) | −34.3016 | − | 25.8698i | −0.0358054 | − | 0.0270040i | ||||
\(959\) | 426.364 | − | 1171.43i | 0.444592 | − | 1.22151i | ||||
\(960\) | 1416.32 | − | 877.137i | 1.47533 | − | 0.913685i | ||||
\(961\) | 166.842 | − | 946.209i | 0.173613 | − | 0.984609i | ||||
\(962\) | 347.472 | − | 80.0725i | 0.361198 | − | 0.0832355i | ||||
\(963\) | 34.4022 | + | 250.553i | 0.0357240 | + | 0.260180i | ||||
\(964\) | −420.664 | + | 204.751i | −0.436374 | + | 0.212398i | ||||
\(965\) | −1.77015 | − | 1.48533i | −0.00183436 | − | 0.00153921i | ||||
\(966\) | 348.745 | − | 42.1158i | 0.361019 | − | 0.0435981i | ||||
\(967\) | −817.785 | + | 144.198i | −0.845693 | + | 0.149118i | −0.579673 | − | 0.814849i | \(-0.696820\pi\) |
−0.266020 | + | 0.963968i | \(0.585709\pi\) | |||||||
\(968\) | −177.684 | + | 908.228i | −0.183558 | + | 0.938252i | ||||
\(969\) | −650.885 | + | 44.4763i | −0.671708 | + | 0.0458991i | ||||
\(970\) | 157.177 | + | 3022.47i | 0.162038 | + | 3.11595i | ||||
\(971\) | − | 308.493i | − | 0.317706i | −0.987302 | − | 0.158853i | \(-0.949220\pi\) | ||
0.987302 | − | 0.158853i | \(-0.0507796\pi\) | |||||||
\(972\) | −418.441 | − | 877.320i | −0.430495 | − | 0.902593i | ||||
\(973\) | −662.598 | −0.680984 | ||||||||
\(974\) | 1337.30 | − | 69.5434i | 1.37300 | − | 0.0713998i | ||||
\(975\) | 48.4393 | + | 708.883i | 0.0496814 | + | 0.727059i | ||||
\(976\) | 942.979 | + | 503.346i | 0.966167 | + | 0.515723i | ||||
\(977\) | 98.4489 | + | 558.332i | 0.100767 | + | 0.571476i | 0.992827 | + | 0.119560i | \(0.0381482\pi\) |
−0.892060 | + | 0.451916i | \(0.850741\pi\) | |||||||
\(978\) | −2.20880 | − | 18.2902i | −0.00225848 | − | 0.0187017i | ||||
\(979\) | −161.057 | + | 191.940i | −0.164511 | + | 0.196057i | ||||
\(980\) | −2762.59 | + | 1344.65i | −2.81897 | + | 1.37209i | ||||
\(981\) | −114.012 | + | 15.6545i | −0.116220 | + | 0.0159576i | ||||
\(982\) | 260.840 | + | 1131.91i | 0.265621 | + | 1.15265i | ||||
\(983\) | 36.2725 | + | 6.39583i | 0.0368998 | + | 0.00650644i | 0.192068 | − | 0.981382i | \(-0.438481\pi\) |
−0.155168 | + | 0.987888i | \(0.549592\pi\) | |||||||
\(984\) | 59.7948 | + | 7.51181i | 0.0607671 | + | 0.00763396i | ||||
\(985\) | 417.918 | + | 152.110i | 0.424282 | + | 0.154426i | ||||
\(986\) | −592.017 | + | 784.974i | −0.600423 | + | 0.796120i | ||||
\(987\) | 299.695 | − | 74.2172i | 0.303642 | − | 0.0751947i | ||||
\(988\) | 217.364 | + | 210.245i | 0.220004 | + | 0.212799i | ||||
\(989\) | 44.5767 | + | 77.2091i | 0.0450725 | + | 0.0780678i | ||||
\(990\) | −353.838 | + | 67.4660i | −0.357412 | + | 0.0681474i | ||||
\(991\) | −988.565 | − | 570.748i | −0.997543 | − | 0.575932i | −0.0900228 | − | 0.995940i | \(-0.528694\pi\) |
−0.907520 | + | 0.420008i | \(0.862027\pi\) | |||||||
\(992\) | 8.10553 | − | 11.5263i | 0.00817090 | − | 0.0116192i | ||||
\(993\) | 431.527 | + | 314.571i | 0.434569 | + | 0.316788i | ||||
\(994\) | −2693.54 | − | 331.829i | −2.70980 | − | 0.333832i | ||||
\(995\) | 554.311 | + | 660.602i | 0.557097 | + | 0.663922i | ||||
\(996\) | −696.502 | + | 399.904i | −0.699299 | + | 0.401510i | ||||
\(997\) | 1263.46 | − | 459.861i | 1.26726 | − | 0.461245i | 0.381060 | − | 0.924550i | \(-0.375559\pi\) |
0.886199 | + | 0.463306i | \(0.153337\pi\) | |||||||
\(998\) | −919.900 | − | 281.648i | −0.921744 | − | 0.282212i | ||||
\(999\) | 762.774 | − | 680.256i | 0.763538 | − | 0.680937i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 108.3.j.a.7.17 | yes | 204 | |
3.2 | odd | 2 | 324.3.j.a.19.18 | 204 | |||
4.3 | odd | 2 | inner | 108.3.j.a.7.10 | ✓ | 204 | |
12.11 | even | 2 | 324.3.j.a.19.25 | 204 | |||
27.4 | even | 9 | inner | 108.3.j.a.31.10 | yes | 204 | |
27.23 | odd | 18 | 324.3.j.a.307.25 | 204 | |||
108.23 | even | 18 | 324.3.j.a.307.18 | 204 | |||
108.31 | odd | 18 | inner | 108.3.j.a.31.17 | yes | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.10 | ✓ | 204 | 4.3 | odd | 2 | inner | |
108.3.j.a.7.17 | yes | 204 | 1.1 | even | 1 | trivial | |
108.3.j.a.31.10 | yes | 204 | 27.4 | even | 9 | inner | |
108.3.j.a.31.17 | yes | 204 | 108.31 | odd | 18 | inner | |
324.3.j.a.19.18 | 204 | 3.2 | odd | 2 | |||
324.3.j.a.19.25 | 204 | 12.11 | even | 2 | |||
324.3.j.a.307.18 | 204 | 108.23 | even | 18 | |||
324.3.j.a.307.25 | 204 | 27.23 | odd | 18 |