Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,4,Mod(38,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.38");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.f (of order \(6\), degree \(2\), 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: | \(11.8593839112\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(66\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 38.19 | ||
Character | \(\chi\) | \(=\) | 201.38 |
Dual form | 201.4.f.a.164.19 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41509 | + | 2.45101i | −0.500310 | + | 0.866562i | 0.499690 | + | 0.866204i | \(0.333447\pi\) |
−1.00000 | 0.000357445i | \(0.999886\pi\) | ||||||||
\(3\) | −3.33481 | − | 3.98485i | −0.641785 | − | 0.766885i | ||||
\(4\) | −0.00495393 | − | 0.00858046i | −0.000619241 | − | 0.00107256i | ||||
\(5\) | −13.4714 | −1.20492 | −0.602460 | − | 0.798149i | \(-0.705813\pi\) | ||||
−0.602460 | + | 0.798149i | \(0.705813\pi\) | |||||||
\(6\) | 14.4859 | − | 2.53472i | 0.985644 | − | 0.172466i | ||||
\(7\) | −13.0426 | + | 7.53016i | −0.704236 | + | 0.406591i | −0.808923 | − | 0.587915i | \(-0.799949\pi\) |
0.104687 | + | 0.994505i | \(0.466616\pi\) | |||||||
\(8\) | −22.6134 | −0.999380 | ||||||||
\(9\) | −4.75808 | + | 26.5774i | −0.176225 | + | 0.984350i | ||||
\(10\) | 19.0632 | − | 33.0185i | 0.602833 | − | 1.04414i | ||||
\(11\) | 13.2779 | + | 22.9980i | 0.363949 | + | 0.630378i | 0.988607 | − | 0.150520i | \(-0.0480949\pi\) |
−0.624658 | + | 0.780899i | \(0.714762\pi\) | |||||||
\(12\) | −0.0176714 | + | 0.0483549i | −0.000425109 | + | 0.00116324i | ||||
\(13\) | 8.31020 | + | 4.79790i | 0.177295 | + | 0.102361i | 0.586021 | − | 0.810296i | \(-0.300694\pi\) |
−0.408726 | + | 0.912657i | \(0.634027\pi\) | |||||||
\(14\) | − | 42.6234i | − | 0.813685i | ||||||
\(15\) | 44.9246 | + | 53.6816i | 0.773299 | + | 0.924035i | ||||
\(16\) | 32.0396 | − | 55.4942i | 0.500618 | − | 0.867097i | ||||
\(17\) | −35.4527 | − | 20.4686i | −0.505797 | − | 0.292022i | 0.225308 | − | 0.974288i | \(-0.427661\pi\) |
−0.731104 | + | 0.682266i | \(0.760995\pi\) | |||||||
\(18\) | −58.4084 | − | 49.2715i | −0.764833 | − | 0.645190i | ||||
\(19\) | 48.5460 | − | 84.0841i | 0.586169 | − | 1.01527i | −0.408559 | − | 0.912732i | \(-0.633969\pi\) |
0.994729 | − | 0.102543i | \(-0.0326980\pi\) | |||||||
\(20\) | 0.0667364 | + | 0.115591i | 0.000746136 | + | 0.00129235i | ||||
\(21\) | 73.5013 | + | 26.8613i | 0.763776 | + | 0.279124i | ||||
\(22\) | −75.1577 | −0.728349 | ||||||||
\(23\) | −63.8718 | − | 36.8764i | −0.579051 | − | 0.334316i | 0.181705 | − | 0.983353i | \(-0.441838\pi\) |
−0.760756 | + | 0.649038i | \(0.775172\pi\) | |||||||
\(24\) | 75.4113 | + | 90.1110i | 0.641387 | + | 0.766409i | ||||
\(25\) | 56.4790 | 0.451832 | ||||||||
\(26\) | −23.5194 | + | 13.5789i | −0.177405 | + | 0.102425i | ||||
\(27\) | 121.774 | − | 69.6705i | 0.867982 | − | 0.496596i | ||||
\(28\) | 0.129225 | + | 0.0746078i | 0.000872184 | + | 0.000503555i | ||||
\(29\) | 249.019 | − | 143.771i | 1.59454 | − | 0.920608i | 0.602026 | − | 0.798477i | \(-0.294360\pi\) |
0.992514 | − | 0.122131i | \(-0.0389729\pi\) | |||||||
\(30\) | −195.146 | + | 34.1463i | −1.18762 | + | 0.207808i | ||||
\(31\) | 92.7892 | − | 53.5718i | 0.537594 | − | 0.310380i | −0.206509 | − | 0.978445i | \(-0.566210\pi\) |
0.744103 | + | 0.668064i | \(0.232877\pi\) | |||||||
\(32\) | 0.224189 | + | 0.388307i | 0.00123848 | + | 0.00214511i | ||||
\(33\) | 47.3644 | − | 129.605i | 0.249851 | − | 0.683674i | ||||
\(34\) | 100.337 | − | 57.9298i | 0.506110 | − | 0.292203i | ||||
\(35\) | 175.703 | − | 101.442i | 0.848548 | − | 0.489909i | ||||
\(36\) | 0.251618 | − | 0.0908363i | 0.00116490 | − | 0.000420539i | ||||
\(37\) | −105.443 | + | 182.632i | −0.468505 | + | 0.811475i | −0.999352 | − | 0.0359927i | \(-0.988541\pi\) |
0.530847 | + | 0.847468i | \(0.321874\pi\) | |||||||
\(38\) | 137.394 | + | 237.973i | 0.586532 | + | 1.01590i | ||||
\(39\) | −8.59404 | − | 49.1150i | −0.0352859 | − | 0.201659i | ||||
\(40\) | 304.634 | 1.20417 | ||||||||
\(41\) | 92.8379 | + | 160.800i | 0.353630 | + | 0.612506i | 0.986883 | − | 0.161440i | \(-0.0516137\pi\) |
−0.633252 | + | 0.773946i | \(0.718280\pi\) | |||||||
\(42\) | −169.848 | + | 142.141i | −0.624003 | + | 0.522210i | ||||
\(43\) | 211.707i | 0.750813i | 0.926860 | + | 0.375407i | \(0.122497\pi\) | ||||
−0.926860 | + | 0.375407i | \(0.877503\pi\) | |||||||
\(44\) | 0.131556 | − | 0.227861i | 0.000450745 | − | 0.000780713i | ||||
\(45\) | 64.0980 | − | 358.036i | 0.212337 | − | 1.18606i | ||||
\(46\) | 180.768 | − | 104.367i | 0.579410 | − | 0.334522i | ||||
\(47\) | 165.401 | − | 95.4942i | 0.513323 | − | 0.296367i | −0.220876 | − | 0.975302i | \(-0.570891\pi\) |
0.734199 | + | 0.678935i | \(0.237558\pi\) | |||||||
\(48\) | −327.982 | + | 57.3896i | −0.986253 | + | 0.172572i | ||||
\(49\) | −58.0932 | + | 100.620i | −0.169368 | + | 0.293354i | ||||
\(50\) | −79.9228 | + | 138.430i | −0.226056 | + | 0.391540i | ||||
\(51\) | 36.6636 | + | 209.533i | 0.100665 | + | 0.575303i | ||||
\(52\) | − | 0.0950738i | − | 0.000253545i | ||||||
\(53\) | 51.4981 | 0.133468 | 0.0667341 | − | 0.997771i | \(-0.478742\pi\) | ||||
0.0667341 | + | 0.997771i | \(0.478742\pi\) | |||||||
\(54\) | −1.55886 | + | 397.060i | −0.00392841 | + | 1.00061i | ||||
\(55\) | −178.872 | − | 309.816i | −0.438530 | − | 0.759555i | ||||
\(56\) | 294.938 | − | 170.283i | 0.703799 | − | 0.406339i | ||||
\(57\) | −496.954 | + | 86.9561i | −1.15479 | + | 0.202063i | ||||
\(58\) | 813.796i | 1.84236i | ||||||||
\(59\) | − | 798.917i | − | 1.76288i | −0.472292 | − | 0.881442i | \(-0.656573\pi\) | ||
0.472292 | − | 0.881442i | \(-0.343427\pi\) | |||||||
\(60\) | 0.238059 | − | 0.651409i | 0.000512222 | − | 0.00140161i | ||||
\(61\) | −105.852 | − | 61.1136i | −0.222179 | − | 0.128275i | 0.384780 | − | 0.923008i | \(-0.374277\pi\) |
−0.606959 | + | 0.794733i | \(0.707611\pi\) | |||||||
\(62\) | 303.236i | 0.621145i | ||||||||
\(63\) | −138.075 | − | 382.469i | −0.276123 | − | 0.764866i | ||||
\(64\) | 511.364 | 0.998758 | ||||||||
\(65\) | −111.950 | − | 64.6345i | −0.213626 | − | 0.123337i | ||||
\(66\) | 250.637 | + | 299.492i | 0.467443 | + | 0.558560i | ||||
\(67\) | −70.0189 | + | 543.930i | −0.127674 | + | 0.991816i | ||||
\(68\) | 0.405601i | 0.000723328i | ||||||||
\(69\) | 66.0533 | + | 377.495i | 0.115245 | + | 0.658624i | ||||
\(70\) | 574.198i | 0.980425i | ||||||||
\(71\) | −614.652 | + | 354.870i | −1.02741 | + | 0.593173i | −0.916240 | − | 0.400629i | \(-0.868792\pi\) |
−0.111165 | + | 0.993802i | \(0.535458\pi\) | |||||||
\(72\) | 107.596 | − | 601.006i | 0.176116 | − | 0.983739i | ||||
\(73\) | 324.458 | − | 561.978i | 0.520205 | − | 0.901021i | −0.479519 | − | 0.877531i | \(-0.659189\pi\) |
0.999724 | − | 0.0234899i | \(-0.00747776\pi\) | |||||||
\(74\) | −298.422 | − | 516.882i | −0.468795 | − | 0.811977i | ||||
\(75\) | −188.347 | − | 225.060i | −0.289979 | − | 0.346503i | ||||
\(76\) | −0.961974 | −0.00145192 | ||||||||
\(77\) | −346.358 | − | 199.970i | −0.512612 | − | 0.295957i | ||||
\(78\) | 132.543 | + | 48.4381i | 0.192404 | + | 0.0703145i | ||||
\(79\) | 718.162 | − | 414.631i | 1.02278 | − | 0.590502i | 0.107871 | − | 0.994165i | \(-0.465597\pi\) |
0.914908 | + | 0.403663i | \(0.132263\pi\) | |||||||
\(80\) | −431.618 | + | 747.585i | −0.603205 | + | 1.04478i | ||||
\(81\) | −683.721 | − | 252.915i | −0.937889 | − | 0.346934i | ||||
\(82\) | −525.496 | −0.707699 | ||||||||
\(83\) | 186.992 | + | 107.960i | 0.247289 | + | 0.142773i | 0.618522 | − | 0.785767i | \(-0.287732\pi\) |
−0.371233 | + | 0.928540i | \(0.621065\pi\) | |||||||
\(84\) | −0.133638 | − | 0.763743i | −0.000173585 | − | 0.000992039i | ||||
\(85\) | 477.598 | + | 275.741i | 0.609444 | + | 0.351863i | ||||
\(86\) | −518.895 | − | 299.584i | −0.650626 | − | 0.375639i | ||||
\(87\) | −1403.34 | − | 512.854i | −1.72935 | − | 0.631997i | ||||
\(88\) | −300.258 | − | 520.063i | −0.363723 | − | 0.629987i | ||||
\(89\) | − | 813.215i | − | 0.968546i | −0.874917 | − | 0.484273i | \(-0.839084\pi\) | ||
0.874917 | − | 0.484273i | \(-0.160916\pi\) | |||||||
\(90\) | 786.843 | + | 663.757i | 0.921562 | + | 0.777402i | ||||
\(91\) | −144.516 | −0.166477 | ||||||||
\(92\) | 0.730732i | 0.000828088i | ||||||||
\(93\) | −522.910 | − | 191.099i | −0.583046 | − | 0.213076i | ||||
\(94\) | 540.531i | 0.593101i | ||||||||
\(95\) | −653.983 | + | 1132.73i | −0.706287 | + | 1.22332i | ||||
\(96\) | 0.799717 | − | 2.18829i | 0.000850217 | − | 0.00232647i | ||||
\(97\) | −1605.68 | − | 927.039i | −1.68074 | − | 0.970377i | −0.961169 | − | 0.275961i | \(-0.911004\pi\) |
−0.719574 | − | 0.694416i | \(-0.755663\pi\) | |||||||
\(98\) | −164.414 | − | 284.774i | −0.169473 | − | 0.293536i | ||||
\(99\) | −674.406 | + | 243.467i | −0.684650 | + | 0.247165i | ||||
\(100\) | −0.279793 | − | 0.484616i | −0.000279793 | − | 0.000484616i | ||||
\(101\) | −515.464 | − | 892.810i | −0.507827 | − | 0.879583i | −0.999959 | − | 0.00906205i | \(-0.997115\pi\) |
0.492131 | − | 0.870521i | \(-0.336218\pi\) | |||||||
\(102\) | −565.448 | − | 206.645i | −0.548899 | − | 0.200597i | ||||
\(103\) | 183.127 | + | 317.185i | 0.175185 | + | 0.303429i | 0.940225 | − | 0.340553i | \(-0.110614\pi\) |
−0.765040 | + | 0.643982i | \(0.777281\pi\) | |||||||
\(104\) | −187.922 | − | 108.497i | −0.177185 | − | 0.102298i | ||||
\(105\) | −990.166 | − | 361.859i | −0.920289 | − | 0.336322i | ||||
\(106\) | −72.8744 | + | 126.222i | −0.0667754 | + | 0.115658i | ||||
\(107\) | − | 881.762i | − | 0.796665i | −0.917241 | − | 0.398332i | \(-0.869589\pi\) | ||
0.917241 | − | 0.398332i | \(-0.130411\pi\) | |||||||
\(108\) | −1.20107 | − | 0.699738i | −0.00107012 | − | 0.000623447i | ||||
\(109\) | 863.351i | 0.758660i | 0.925261 | + | 0.379330i | \(0.123846\pi\) | ||||
−0.925261 | + | 0.379330i | \(0.876154\pi\) | |||||||
\(110\) | 1012.48 | 0.877602 | ||||||||
\(111\) | 1079.39 | − | 188.870i | 0.922988 | − | 0.161502i | ||||
\(112\) | 965.053i | 0.814187i | ||||||||
\(113\) | 122.055 | + | 211.406i | 0.101611 | + | 0.175995i | 0.912348 | − | 0.409415i | \(-0.134267\pi\) |
−0.810738 | + | 0.585409i | \(0.800934\pi\) | |||||||
\(114\) | 490.105 | − | 1341.09i | 0.402654 | − | 1.10179i | ||||
\(115\) | 860.443 | + | 496.777i | 0.697711 | + | 0.402823i | ||||
\(116\) | −2.46724 | − | 1.42446i | −0.00197481 | − | 0.00114016i | ||||
\(117\) | −167.056 | + | 198.035i | −0.132003 | + | 0.156482i | ||||
\(118\) | 1958.15 | + | 1130.54i | 1.52765 | + | 0.881988i | ||||
\(119\) | 616.528 | 0.474933 | ||||||||
\(120\) | −1015.90 | − | 1213.92i | −0.772819 | − | 0.923462i | ||||
\(121\) | 312.894 | − | 541.949i | 0.235082 | − | 0.407174i | ||||
\(122\) | 299.580 | − | 172.962i | 0.222317 | − | 0.128355i | ||||
\(123\) | 331.167 | − | 906.183i | 0.242767 | − | 0.664291i | ||||
\(124\) | −0.919342 | − | 0.530782i | −0.000665801 | − | 0.000384401i | ||||
\(125\) | 923.075 | 0.660499 | ||||||||
\(126\) | 1132.82 | + | 202.806i | 0.800950 | + | 0.143392i | ||||
\(127\) | 949.820 | + | 1645.14i | 0.663645 | + | 1.14947i | 0.979651 | + | 0.200709i | \(0.0643246\pi\) |
−0.316006 | + | 0.948757i | \(0.602342\pi\) | |||||||
\(128\) | −725.420 | + | 1256.46i | −0.500927 | + | 0.867631i | ||||
\(129\) | 843.620 | − | 706.002i | 0.575788 | − | 0.481860i | ||||
\(130\) | 316.839 | − | 182.927i | 0.213759 | − | 0.123414i | ||||
\(131\) | 2304.99i | 1.53731i | 0.639664 | + | 0.768655i | \(0.279074\pi\) | ||||
−0.639664 | + | 0.768655i | \(0.720926\pi\) | |||||||
\(132\) | −1.34671 | + | 0.235644i | −0.000887998 | + | 0.000155380i | ||||
\(133\) | 1462.24i | 0.953324i | ||||||||
\(134\) | −1234.09 | − | 941.327i | −0.795593 | − | 0.606853i | ||||
\(135\) | −1640.47 | + | 938.560i | −1.04585 | + | 0.598359i | ||||
\(136\) | 801.705 | + | 462.865i | 0.505483 | + | 0.291841i | ||||
\(137\) | 1277.77 | 0.796839 | 0.398420 | − | 0.917203i | \(-0.369559\pi\) | ||||
0.398420 | + | 0.917203i | \(0.369559\pi\) | |||||||
\(138\) | −1018.71 | − | 372.292i | −0.628397 | − | 0.229649i | ||||
\(139\) | − | 150.179i | − | 0.0916403i | −0.998950 | − | 0.0458202i | \(-0.985410\pi\) | ||
0.998950 | − | 0.0458202i | \(-0.0145901\pi\) | |||||||
\(140\) | −1.74084 | − | 1.00507i | −0.00105091 | − | 0.000606744i | ||||
\(141\) | −932.110 | − | 340.642i | −0.556722 | − | 0.203456i | ||||
\(142\) | − | 2008.69i | − | 1.18708i | ||||||
\(143\) | 254.824i | 0.149017i | ||||||||
\(144\) | 1322.45 | + | 1115.58i | 0.765305 | + | 0.645588i | ||||
\(145\) | −3354.64 | + | 1936.80i | −1.92129 | + | 1.10926i | ||||
\(146\) | 918.274 | + | 1590.50i | 0.520527 | + | 0.901579i | ||||
\(147\) | 594.687 | − | 104.057i | 0.333667 | − | 0.0583843i | ||||
\(148\) | 2.08943 | 0.00116047 | ||||||||
\(149\) | − | 837.187i | − | 0.460302i | −0.973155 | − | 0.230151i | \(-0.926078\pi\) | ||
0.973155 | − | 0.230151i | \(-0.0739220\pi\) | |||||||
\(150\) | 818.152 | − | 143.158i | 0.445345 | − | 0.0779256i | ||||
\(151\) | 682.436 | − | 1182.01i | 0.367787 | − | 0.637026i | −0.621432 | − | 0.783468i | \(-0.713449\pi\) |
0.989219 | + | 0.146442i | \(0.0467822\pi\) | |||||||
\(152\) | −1097.79 | + | 1901.43i | −0.585806 | + | 1.01465i | ||||
\(153\) | 712.690 | − | 844.851i | 0.376586 | − | 0.446419i | ||||
\(154\) | 980.254 | − | 565.950i | 0.512929 | − | 0.296140i | ||||
\(155\) | −1250.00 | + | 721.689i | −0.647758 | + | 0.373983i | ||||
\(156\) | −0.378855 | + | 0.317053i | −0.000194440 | + | 0.000162722i | ||||
\(157\) | 1073.18 | − | 1858.81i | 0.545537 | − | 0.944897i | −0.453036 | − | 0.891492i | \(-0.649659\pi\) |
0.998573 | − | 0.0534050i | \(-0.0170074\pi\) | |||||||
\(158\) | 2346.96i | 1.18173i | ||||||||
\(159\) | −171.737 | − | 205.212i | −0.0856578 | − | 0.102355i | ||||
\(160\) | −3.02014 | − | 5.23104i | −0.00149227 | − | 0.00258469i | ||||
\(161\) | 1110.74 | 0.543718 | ||||||||
\(162\) | 1587.42 | − | 1317.91i | 0.769875 | − | 0.639164i | ||||
\(163\) | −1262.47 | − | 2186.67i | −0.606654 | − | 1.05075i | −0.991788 | − | 0.127894i | \(-0.959178\pi\) |
0.385134 | − | 0.922861i | \(-0.374155\pi\) | |||||||
\(164\) | 0.919825 | − | 1.59318i | 0.000437965 | − | 0.000758578i | ||||
\(165\) | −638.065 | + | 1745.96i | −0.301050 | + | 0.823773i | ||||
\(166\) | −529.220 | + | 305.545i | −0.247442 | + | 0.142861i | ||||
\(167\) | −57.3562 | + | 33.1146i | −0.0265770 | + | 0.0153442i | −0.513230 | − | 0.858251i | \(-0.671551\pi\) |
0.486653 | + | 0.873596i | \(0.338218\pi\) | |||||||
\(168\) | −1662.11 | − | 607.424i | −0.763302 | − | 0.278951i | ||||
\(169\) | −1052.46 | − | 1822.91i | −0.479044 | − | 0.829729i | ||||
\(170\) | −1351.69 | + | 780.397i | −0.609822 | + | 0.352081i | ||||
\(171\) | 2003.76 | + | 1690.31i | 0.896088 | + | 0.755913i | ||||
\(172\) | 1.81654 | − | 1.04878i | 0.000805290 | − | 0.000464935i | ||||
\(173\) | 2498.16 | + | 1442.31i | 1.09787 | + | 0.633855i | 0.935661 | − | 0.352901i | \(-0.114805\pi\) |
0.162209 | + | 0.986756i | \(0.448138\pi\) | |||||||
\(174\) | 3242.86 | − | 2713.85i | 1.41287 | − | 1.18240i | ||||
\(175\) | −736.634 | + | 425.296i | −0.318196 | + | 0.183711i | ||||
\(176\) | 1701.67 | 0.728799 | ||||||||
\(177\) | −3183.57 | + | 2664.24i | −1.35193 | + | 1.13139i | ||||
\(178\) | 1993.19 | + | 1150.77i | 0.839305 | + | 0.484573i | ||||
\(179\) | 1303.66 | 0.544358 | 0.272179 | − | 0.962247i | \(-0.412256\pi\) | ||||
0.272179 | + | 0.962247i | \(0.412256\pi\) | |||||||
\(180\) | −3.38965 | + | 1.22369i | −0.00140361 | + | 0.000506715i | ||||
\(181\) | −195.870 | − | 339.257i | −0.0804360 | − | 0.139319i | 0.823001 | − | 0.568039i | \(-0.192298\pi\) |
−0.903437 | + | 0.428720i | \(0.858965\pi\) | |||||||
\(182\) | 204.503 | − | 354.209i | 0.0832899 | − | 0.144262i | ||||
\(183\) | 109.467 | + | 625.606i | 0.0442189 | + | 0.252711i | ||||
\(184\) | 1444.36 | + | 833.900i | 0.578692 | + | 0.334108i | ||||
\(185\) | 1420.46 | − | 2460.32i | 0.564511 | − | 0.977763i | ||||
\(186\) | 1208.35 | − | 1011.23i | 0.476347 | − | 0.398641i | ||||
\(187\) | − | 1087.12i | − | 0.425124i | ||||||
\(188\) | −1.63877 | − | 0.946143i | −0.000635742 | − | 0.000367046i | ||||
\(189\) | −1063.63 | + | 1825.67i | −0.409352 | + | 0.702634i | ||||
\(190\) | −1850.89 | − | 3205.83i | −0.706724 | − | 1.22408i | ||||
\(191\) | 635.992 | − | 1101.57i | 0.240936 | − | 0.417313i | −0.720045 | − | 0.693927i | \(-0.755879\pi\) |
0.960981 | + | 0.276614i | \(0.0892123\pi\) | |||||||
\(192\) | −1705.30 | − | 2037.71i | −0.640988 | − | 0.765933i | ||||
\(193\) | 507.444 | 0.189257 | 0.0946286 | − | 0.995513i | \(-0.469834\pi\) | ||||
0.0946286 | + | 0.995513i | \(0.469834\pi\) | |||||||
\(194\) | 4544.36 | − | 2623.69i | 1.68178 | − | 0.970978i | ||||
\(195\) | 115.774 | + | 661.649i | 0.0425166 | + | 0.242983i | ||||
\(196\) | 1.15116 | 0.000419519 | ||||||||
\(197\) | −1281.36 | − | 2219.38i | −0.463417 | − | 0.802661i | 0.535712 | − | 0.844401i | \(-0.320043\pi\) |
−0.999129 | + | 0.0417397i | \(0.986710\pi\) | |||||||
\(198\) | 357.606 | − | 1997.50i | 0.128353 | − | 0.716950i | ||||
\(199\) | 1983.89 | − | 3436.19i | 0.706703 | − | 1.22405i | −0.259370 | − | 0.965778i | \(-0.583515\pi\) |
0.966073 | − | 0.258268i | \(-0.0831517\pi\) | |||||||
\(200\) | −1277.18 | −0.451552 | ||||||||
\(201\) | 2400.98 | − | 1534.89i | 0.842548 | − | 0.538621i | ||||
\(202\) | 2917.71 | 1.01628 | ||||||||
\(203\) | −2165.24 | + | 3750.31i | −0.748621 | + | 1.29665i | ||||
\(204\) | 1.61626 | − | 1.35260i | 0.000554709 | − | 0.000464221i | ||||
\(205\) | −1250.66 | − | 2166.20i | −0.426096 | − | 0.738020i | ||||
\(206\) | −1036.56 | −0.350587 | ||||||||
\(207\) | 1283.99 | − | 1522.09i | 0.431127 | − | 0.511074i | ||||
\(208\) | 532.511 | − | 307.445i | 0.177514 | − | 0.102488i | ||||
\(209\) | 2578.36 | 0.853343 | ||||||||
\(210\) | 2288.09 | − | 1914.84i | 0.751873 | − | 0.629222i | ||||
\(211\) | 225.737 | − | 390.987i | 0.0736509 | − | 0.127567i | −0.826848 | − | 0.562426i | \(-0.809868\pi\) |
0.900499 | + | 0.434858i | \(0.143202\pi\) | |||||||
\(212\) | −0.255118 | − | 0.441878i | −8.26490e−5 | − | 0.000143152i | ||||
\(213\) | 3463.85 | + | 1265.88i | 1.11427 | + | 0.407213i | ||||
\(214\) | 2161.20 | + | 1247.77i | 0.690359 | + | 0.398579i | ||||
\(215\) | − | 2851.99i | − | 0.904670i | ||||||
\(216\) | −2753.73 | + | 1575.49i | −0.867443 | + | 0.496288i | ||||
\(217\) | −806.810 | + | 1397.44i | −0.252395 | + | 0.437162i | ||||
\(218\) | −2116.08 | − | 1221.72i | −0.657426 | − | 0.379565i | ||||
\(219\) | −3321.41 | + | 581.173i | −1.02484 | + | 0.179324i | ||||
\(220\) | −1.77224 | + | 3.06961i | −0.000543111 | + | 0.000940696i | ||||
\(221\) | −196.413 | − | 340.197i | −0.0597835 | − | 0.103548i | ||||
\(222\) | −1064.52 | + | 2912.87i | −0.321828 | + | 0.880627i | ||||
\(223\) | −2029.81 | −0.609535 | −0.304767 | − | 0.952427i | \(-0.598579\pi\) | ||||
−0.304767 | + | 0.952427i | \(0.598579\pi\) | |||||||
\(224\) | −5.84803 | − | 3.37636i | −0.00174437 | − | 0.00100711i | ||||
\(225\) | −268.731 | + | 1501.07i | −0.0796241 | + | 0.444761i | ||||
\(226\) | −690.876 | −0.203347 | ||||||||
\(227\) | −582.153 | + | 336.106i | −0.170215 | + | 0.0982737i | −0.582687 | − | 0.812696i | \(-0.697999\pi\) |
0.412472 | + | 0.910970i | \(0.364665\pi\) | |||||||
\(228\) | 3.20800 | + | 3.83332i | 0.000931820 | + | 0.00111346i | ||||
\(229\) | −4310.23 | − | 2488.51i | −1.24379 | − | 0.718103i | −0.273926 | − | 0.961751i | \(-0.588322\pi\) |
−0.969864 | + | 0.243648i | \(0.921656\pi\) | |||||||
\(230\) | −2435.21 | + | 1405.97i | −0.698143 | + | 0.403073i | ||||
\(231\) | 358.188 | + | 2047.04i | 0.102022 | + | 0.583055i | ||||
\(232\) | −5631.16 | + | 3251.15i | −1.59355 | + | 0.920037i | ||||
\(233\) | −2325.52 | − | 4027.93i | −0.653864 | − | 1.13252i | −0.982177 | − | 0.187956i | \(-0.939814\pi\) |
0.328314 | − | 0.944569i | \(-0.393520\pi\) | |||||||
\(234\) | −248.986 | − | 689.694i | −0.0695586 | − | 0.192678i | ||||
\(235\) | −2228.18 | + | 1286.44i | −0.618513 | + | 0.357099i | ||||
\(236\) | −6.85508 | + | 3.95778i | −0.00189079 | + | 0.00109165i | ||||
\(237\) | −4047.18 | − | 1479.05i | −1.10925 | − | 0.405379i | ||||
\(238\) | −872.443 | + | 1511.11i | −0.237614 | + | 0.411559i | ||||
\(239\) | 2321.74 | + | 4021.38i | 0.628373 | + | 1.08837i | 0.987878 | + | 0.155231i | \(0.0496122\pi\) |
−0.359505 | + | 0.933143i | \(0.617054\pi\) | |||||||
\(240\) | 4418.38 | − | 773.119i | 1.18836 | − | 0.207936i | ||||
\(241\) | 3448.91 | 0.921842 | 0.460921 | − | 0.887441i | \(-0.347519\pi\) | ||||
0.460921 | + | 0.887441i | \(0.347519\pi\) | |||||||
\(242\) | 885.546 | + | 1533.81i | 0.235228 | + | 0.407426i | ||||
\(243\) | 1272.25 | + | 3567.95i | 0.335864 | + | 0.941910i | ||||
\(244\) | 1.21101i | 0.000317733i | ||||||||
\(245\) | 782.598 | − | 1355.50i | 0.204075 | − | 0.353468i | ||||
\(246\) | 1752.43 | + | 2094.02i | 0.454190 | + | 0.542723i | ||||
\(247\) | 806.854 | − | 465.837i | 0.207850 | − | 0.120002i | ||||
\(248\) | −2098.28 | + | 1211.44i | −0.537261 | + | 0.310188i | ||||
\(249\) | −193.379 | − | 1105.16i | −0.0492163 | − | 0.281272i | ||||
\(250\) | −1306.23 | + | 2262.46i | −0.330454 | + | 0.572363i | ||||
\(251\) | −2978.55 | + | 5159.00i | −0.749021 | + | 1.29734i | 0.199271 | + | 0.979944i | \(0.436142\pi\) |
−0.948292 | + | 0.317398i | \(0.897191\pi\) | |||||||
\(252\) | −2.59775 | + | 3.07947i | −0.000649375 | + | 0.000769795i | ||||
\(253\) | − | 1958.57i | − | 0.486695i | ||||||
\(254\) | −5376.32 | −1.32811 | ||||||||
\(255\) | −493.911 | − | 2822.70i | −0.121294 | − | 0.693194i | ||||
\(256\) | −7.60923 | − | 13.1796i | −0.00185772 | − | 0.00321767i | ||||
\(257\) | 1664.71 | − | 961.123i | 0.404054 | − | 0.233281i | −0.284178 | − | 0.958772i | \(-0.591721\pi\) |
0.688232 | + | 0.725491i | \(0.258387\pi\) | |||||||
\(258\) | 536.618 | + | 3066.77i | 0.129490 | + | 0.740035i | ||||
\(259\) | − | 3176.01i | − | 0.761960i | ||||||
\(260\) | 1.28078i | 0.000305502i | ||||||||
\(261\) | 2636.22 | + | 7302.36i | 0.625202 | + | 1.73182i | ||||
\(262\) | −5649.53 | − | 3261.76i | −1.33217 | − | 0.769131i | ||||
\(263\) | − | 7697.82i | − | 1.80482i | −0.430878 | − | 0.902410i | \(-0.641796\pi\) | ||
0.430878 | − | 0.902410i | \(-0.358204\pi\) | |||||||
\(264\) | −1071.07 | + | 2930.80i | −0.249696 | + | 0.683250i | ||||
\(265\) | −693.753 | −0.160818 | ||||||||
\(266\) | −3583.95 | − | 2069.20i | −0.826114 | − | 0.476957i | ||||
\(267\) | −3240.54 | + | 2711.92i | −0.742764 | + | 0.621598i | ||||
\(268\) | 5.01404 | − | 2.09380i | 0.00114284 | − | 0.000477236i | ||||
\(269\) | − | 3366.83i | − | 0.763119i | −0.924344 | − | 0.381560i | \(-0.875387\pi\) | ||
0.924344 | − | 0.381560i | \(-0.124613\pi\) | |||||||
\(270\) | 21.0001 | − | 5348.96i | 0.00473342 | − | 1.20566i | ||||
\(271\) | 7537.73i | 1.68961i | 0.535074 | + | 0.844805i | \(0.320284\pi\) | ||||
−0.535074 | + | 0.844805i | \(0.679716\pi\) | |||||||
\(272\) | −2271.78 | + | 1311.61i | −0.506422 | + | 0.292383i | ||||
\(273\) | 481.933 | + | 575.874i | 0.106842 | + | 0.127668i | ||||
\(274\) | −1808.15 | + | 3131.81i | −0.398666 | + | 0.690510i | ||||
\(275\) | 749.923 | + | 1298.90i | 0.164444 | + | 0.284825i | ||||
\(276\) | 2.91186 | − | 2.43685i | 0.000635048 | − | 0.000531454i | ||||
\(277\) | 3682.50 | 0.798773 | 0.399386 | − | 0.916783i | \(-0.369223\pi\) | ||||
0.399386 | + | 0.916783i | \(0.369223\pi\) | |||||||
\(278\) | 368.089 | + | 212.516i | 0.0794120 | + | 0.0458485i | ||||
\(279\) | 982.305 | + | 2721.00i | 0.210785 | + | 0.583878i | ||||
\(280\) | −3973.23 | + | 2293.95i | −0.848021 | + | 0.489605i | ||||
\(281\) | 1159.76 | − | 2008.76i | 0.246212 | − | 0.426451i | −0.716260 | − | 0.697834i | \(-0.754148\pi\) |
0.962472 | + | 0.271383i | \(0.0874809\pi\) | |||||||
\(282\) | 2153.94 | − | 1802.57i | 0.454840 | − | 0.380643i | ||||
\(283\) | 4335.37 | 0.910639 | 0.455320 | − | 0.890328i | \(-0.349525\pi\) | ||||
0.455320 | + | 0.890328i | \(0.349525\pi\) | |||||||
\(284\) | 6.08989 | + | 3.51600i | 0.00127242 | + | 0.000734634i | ||||
\(285\) | 6694.68 | − | 1171.42i | 1.39143 | − | 0.243470i | ||||
\(286\) | −624.576 | − | 360.599i | −0.129133 | − | 0.0745548i | ||||
\(287\) | −2421.70 | − | 1398.17i | −0.498078 | − | 0.287566i | ||||
\(288\) | −11.3869 | + | 4.11078i | −0.00232979 | + | 0.000841077i | ||||
\(289\) | −1618.57 | − | 2803.45i | −0.329447 | − | 0.570618i | ||||
\(290\) | − | 10963.0i | − | 2.21989i | ||||||
\(291\) | 1660.52 | + | 9489.89i | 0.334507 | + | 1.91171i | ||||
\(292\) | −6.42937 | −0.00128853 | ||||||||
\(293\) | 93.8585i | 0.0187142i | 0.999956 | + | 0.00935712i | \(0.00297851\pi\) | ||||
−0.999956 | + | 0.00935712i | \(0.997021\pi\) | |||||||
\(294\) | −586.491 | + | 1604.83i | −0.116343 | + | 0.318353i | ||||
\(295\) | 10762.5i | 2.12413i | ||||||||
\(296\) | 2384.42 | − | 4129.94i | 0.468215 | − | 0.810972i | ||||
\(297\) | 3219.19 | + | 1875.49i | 0.628945 | + | 0.366421i | ||||
\(298\) | 2051.95 | + | 1184.69i | 0.398880 | + | 0.230294i | ||||
\(299\) | −353.858 | − | 612.900i | −0.0684420 | − | 0.118545i | ||||
\(300\) | −0.998065 | + | 2.73103i | −0.000192078 | + | 0.000525588i | ||||
\(301\) | −1594.19 | − | 2761.21i | −0.305274 | − | 0.528750i | ||||
\(302\) | 1931.41 | + | 3345.31i | 0.368015 | + | 0.637420i | ||||
\(303\) | −1838.74 | + | 5031.40i | −0.348623 | + | 0.953948i | ||||
\(304\) | −3110.79 | − | 5388.04i | −0.586894 | − | 1.01653i | ||||
\(305\) | 1425.97 | + | 823.286i | 0.267708 | + | 0.154561i | ||||
\(306\) | 1062.21 | + | 2942.35i | 0.198440 | + | 0.549682i | ||||
\(307\) | 639.599 | − | 1107.82i | 0.118905 | − | 0.205950i | −0.800429 | − | 0.599428i | \(-0.795395\pi\) |
0.919334 | + | 0.393478i | \(0.128728\pi\) | |||||||
\(308\) | 3.96254i | 0.000733074i | ||||||||
\(309\) | 653.242 | − | 1787.49i | 0.120264 | − | 0.329083i | ||||
\(310\) | − | 4085.01i | − | 0.748430i | ||||||
\(311\) | 9190.42 | 1.67569 | 0.837847 | − | 0.545905i | \(-0.183814\pi\) | ||||
0.837847 | + | 0.545905i | \(0.183814\pi\) | |||||||
\(312\) | 194.340 | + | 1110.66i | 0.0352640 | + | 0.201534i | ||||
\(313\) | − | 3224.46i | − | 0.582292i | −0.956679 | − | 0.291146i | \(-0.905963\pi\) | ||
0.956679 | − | 0.291146i | \(-0.0940365\pi\) | |||||||
\(314\) | 3037.30 | + | 5260.75i | 0.545874 | + | 0.945482i | ||||
\(315\) | 1860.06 | + | 5152.40i | 0.332707 | + | 0.921602i | ||||
\(316\) | −7.11545 | − | 4.10811i | −0.00126669 | − | 0.000731326i | ||||
\(317\) | −3423.34 | − | 1976.47i | −0.606543 | − | 0.350188i | 0.165068 | − | 0.986282i | \(-0.447215\pi\) |
−0.771611 | + | 0.636095i | \(0.780549\pi\) | |||||||
\(318\) | 745.999 | − | 130.533i | 0.131552 | − | 0.0230187i | ||||
\(319\) | 6612.90 | + | 3817.96i | 1.16066 | + | 0.670109i | ||||
\(320\) | −6888.80 | −1.20342 | ||||||||
\(321\) | −3513.69 | + | 2940.51i | −0.610950 | + | 0.511287i | ||||
\(322\) | −1571.80 | + | 2722.43i | −0.272027 | + | 0.471165i | ||||
\(323\) | −3442.17 | + | 1987.34i | −0.592965 | + | 0.342348i | ||||
\(324\) | 1.21698 | + | 7.11957i | 0.000208673 | + | 0.00122078i | ||||
\(325\) | 469.352 | + | 270.980i | 0.0801075 | + | 0.0462501i | ||||
\(326\) | 7146.05 | 1.21406 | ||||||||
\(327\) | 3440.32 | − | 2879.11i | 0.581805 | − | 0.486897i | ||||
\(328\) | −2099.38 | − | 3636.23i | −0.353411 | − | 0.612126i | ||||
\(329\) | −1438.17 | + | 2490.99i | −0.241000 | + | 0.417425i | ||||
\(330\) | −3376.43 | − | 4034.58i | −0.563231 | − | 0.673020i | ||||
\(331\) | −9446.50 | + | 5453.94i | −1.56866 | + | 0.905667i | −0.572335 | + | 0.820020i | \(0.693962\pi\) |
−0.996326 | + | 0.0856465i | \(0.972704\pi\) | |||||||
\(332\) | − | 2.13930i | − | 0.000353643i | ||||||
\(333\) | −4352.20 | − | 3671.38i | −0.716213 | − | 0.604176i | ||||
\(334\) | − | 187.440i | − | 0.0307074i | ||||||
\(335\) | 943.254 | − | 7327.51i | 0.153837 | − | 1.19506i | ||||
\(336\) | 3845.59 | − | 3218.27i | 0.624388 | − | 0.522533i | ||||
\(337\) | −7674.62 | − | 4430.94i | −1.24054 | − | 0.716228i | −0.271338 | − | 0.962484i | \(-0.587466\pi\) |
−0.969205 | + | 0.246256i | \(0.920800\pi\) | |||||||
\(338\) | 5957.30 | 0.958682 | ||||||||
\(339\) | 435.390 | − | 1191.37i | 0.0697555 | − | 0.190874i | ||||
\(340\) | − | 5.46401i | − | 0.000871552i | ||||||
\(341\) | 2464.09 | + | 1422.64i | 0.391314 | + | 0.225925i | ||||
\(342\) | −6978.45 | + | 2519.28i | −1.10337 | + | 0.398325i | ||||
\(343\) | − | 6915.50i | − | 1.08864i | ||||||
\(344\) | − | 4787.41i | − | 0.750348i | ||||||
\(345\) | −889.832 | − | 5085.39i | −0.138861 | − | 0.793590i | ||||
\(346\) | −7070.23 | + | 4082.00i | −1.09855 | + | 0.634248i | ||||
\(347\) | 167.833 | + | 290.695i | 0.0259646 | + | 0.0449721i | 0.878716 | − | 0.477345i | \(-0.158401\pi\) |
−0.852751 | + | 0.522317i | \(0.825068\pi\) | |||||||
\(348\) | 2.55151 | + | 14.5819i | 0.000393033 | + | 0.00224619i | ||||
\(349\) | −10323.1 | −1.58333 | −0.791664 | − | 0.610956i | \(-0.790785\pi\) | ||||
−0.791664 | + | 0.610956i | \(0.790785\pi\) | |||||||
\(350\) | − | 2407.33i | − | 0.367649i | ||||||
\(351\) | 1346.24 | + | 5.28536i | 0.204721 | + | 0.000803737i | ||||
\(352\) | −5.95353 | + | 10.3118i | −0.000901489 | + | 0.00156142i | ||||
\(353\) | −205.713 | + | 356.305i | −0.0310169 | + | 0.0537229i | −0.881117 | − | 0.472898i | \(-0.843208\pi\) |
0.850100 | + | 0.526621i | \(0.176541\pi\) | |||||||
\(354\) | −2025.03 | − | 11573.1i | −0.304038 | − | 1.73758i | ||||
\(355\) | 8280.24 | − | 4780.60i | 1.23794 | − | 0.714726i | ||||
\(356\) | −6.97776 | + | 4.02861i | −0.00103882 | + | 0.000599764i | ||||
\(357\) | −2056.01 | − | 2456.77i | −0.304805 | − | 0.364219i | ||||
\(358\) | −1844.79 | + | 3195.28i | −0.272348 | + | 0.471720i | ||||
\(359\) | 5843.17i | 0.859027i | 0.903060 | + | 0.429513i | \(0.141315\pi\) | ||||
−0.903060 | + | 0.429513i | \(0.858685\pi\) | |||||||
\(360\) | −1449.47 | + | 8096.40i | −0.212205 | + | 1.18533i | ||||
\(361\) | −1283.93 | − | 2223.83i | −0.187189 | − | 0.324220i | ||||
\(362\) | 1108.69 | 0.160972 | ||||||||
\(363\) | −3203.03 | + | 560.459i | −0.463128 | + | 0.0810371i | ||||
\(364\) | 0.715921 | + | 1.24001i | 0.000103089 | + | 0.000178556i | ||||
\(365\) | −4370.91 | + | 7570.64i | −0.626805 | + | 1.08566i | ||||
\(366\) | −1688.27 | − | 616.983i | −0.241113 | − | 0.0881154i | ||||
\(367\) | 10730.5 | − | 6195.25i | 1.52623 | − | 0.881171i | 0.526717 | − | 0.850041i | \(-0.323423\pi\) |
0.999515 | − | 0.0311298i | \(-0.00991051\pi\) | |||||||
\(368\) | −4092.85 | + | 2363.01i | −0.579768 | + | 0.334729i | ||||
\(369\) | −4715.38 | + | 1702.30i | −0.665239 | + | 0.240157i | ||||
\(370\) | 4020.17 | + | 6963.13i | 0.564861 | + | 0.978368i | ||||
\(371\) | −671.671 | + | 387.789i | −0.0939931 | + | 0.0542669i | ||||
\(372\) | 0.950743 | + | 5.43350i | 0.000132510 | + | 0.000757295i | ||||
\(373\) | 7146.79 | − | 4126.20i | 0.992082 | − | 0.572779i | 0.0861861 | − | 0.996279i | \(-0.472532\pi\) |
0.905896 | + | 0.423500i | \(0.139199\pi\) | |||||||
\(374\) | 2664.54 | + | 1538.37i | 0.368396 | + | 0.212694i | ||||
\(375\) | −3078.28 | − | 3678.32i | −0.423898 | − | 0.506527i | ||||
\(376\) | −3740.27 | + | 2159.45i | −0.513005 | + | 0.296183i | ||||
\(377\) | 2759.20 | 0.376939 | ||||||||
\(378\) | −2969.60 | − | 5190.44i | −0.404073 | − | 0.706263i | ||||
\(379\) | −7740.68 | − | 4469.08i | −1.04911 | − | 0.605703i | −0.126709 | − | 0.991940i | \(-0.540441\pi\) |
−0.922400 | + | 0.386237i | \(0.873775\pi\) | |||||||
\(380\) | 12.9591 | 0.00174945 | ||||||||
\(381\) | 3388.15 | − | 9271.11i | 0.455592 | − | 1.24665i | ||||
\(382\) | 1799.97 | + | 3117.64i | 0.241085 | + | 0.417572i | ||||
\(383\) | −6159.47 | + | 10668.5i | −0.821760 | + | 1.42333i | 0.0826107 | + | 0.996582i | \(0.473674\pi\) |
−0.904371 | + | 0.426748i | \(0.859659\pi\) | |||||||
\(384\) | 7425.96 | − | 1299.38i | 0.986860 | − | 0.172679i | ||||
\(385\) | 4665.93 | + | 2693.87i | 0.617656 | + | 0.356604i | ||||
\(386\) | −718.079 | + | 1243.75i | −0.0946872 | + | 0.164003i | ||||
\(387\) | −5626.62 | − | 1007.32i | −0.739063 | − | 0.132312i | ||||
\(388\) | 18.3700i | 0.00240359i | ||||||||
\(389\) | 3187.76 | + | 1840.46i | 0.415491 | + | 0.239884i | 0.693146 | − | 0.720797i | \(-0.256224\pi\) |
−0.277655 | + | 0.960681i | \(0.589557\pi\) | |||||||
\(390\) | −1785.53 | − | 652.529i | −0.231831 | − | 0.0847233i | ||||
\(391\) | 1509.62 | + | 2614.73i | 0.195255 | + | 0.338191i | ||||
\(392\) | 1313.68 | − | 2275.37i | 0.169263 | − | 0.293172i | ||||
\(393\) | 9185.03 | − | 7686.69i | 1.17894 | − | 0.986621i | ||||
\(394\) | 7252.95 | 0.927407 | ||||||||
\(395\) | −9674.66 | + | 5585.67i | −1.23237 | + | 0.711507i | ||||
\(396\) | 5.43001 | + | 4.58060i | 0.000689062 | + | 0.000581272i | ||||
\(397\) | 14320.9 | 1.81045 | 0.905224 | − | 0.424935i | \(-0.139703\pi\) | ||||
0.905224 | + | 0.424935i | \(0.139703\pi\) | |||||||
\(398\) | 5614.75 | + | 9725.03i | 0.707141 | + | 1.22480i | ||||
\(399\) | 5826.80 | − | 4876.28i | 0.731090 | − | 0.611828i | ||||
\(400\) | 1809.56 | − | 3134.25i | 0.226195 | − | 0.391782i | ||||
\(401\) | 2872.85 | 0.357764 | 0.178882 | − | 0.983871i | \(-0.442752\pi\) | ||||
0.178882 | + | 0.983871i | \(0.442752\pi\) | |||||||
\(402\) | 364.421 | + | 8056.83i | 0.0452132 | + | 0.999597i | ||||
\(403\) | 1028.13 | 0.127084 | ||||||||
\(404\) | −5.10714 | + | 8.84583i | −0.000628935 | + | 0.00108935i | ||||
\(405\) | 9210.69 | + | 3407.12i | 1.13008 | + | 0.418028i | ||||
\(406\) | −6128.02 | − | 10614.0i | −0.749085 | − | 1.29745i | ||||
\(407\) | −5600.24 | −0.682049 | ||||||||
\(408\) | −829.088 | − | 4738.24i | −0.100603 | − | 0.574946i | ||||
\(409\) | 5935.25 | − | 3426.72i | 0.717553 | − | 0.414280i | −0.0962982 | − | 0.995353i | \(-0.530700\pi\) |
0.813851 | + | 0.581073i | \(0.197367\pi\) | |||||||
\(410\) | 7079.17 | 0.852720 | ||||||||
\(411\) | −4261.11 | − | 5091.71i | −0.511399 | − | 0.611084i | ||||
\(412\) | 1.81440 | − | 3.14263i | 0.000216963 | − | 0.000375792i | ||||
\(413\) | 6015.98 | + | 10420.0i | 0.716772 | + | 1.24149i | ||||
\(414\) | 1913.69 | + | 5300.95i | 0.227181 | + | 0.629293i | ||||
\(415\) | −2519.04 | − | 1454.37i | −0.297964 | − | 0.172029i | ||||
\(416\) | 4.30255i | 0.000507091i | ||||||||
\(417\) | −598.440 | + | 500.818i | −0.0702776 | + | 0.0588133i | ||||
\(418\) | −3648.61 | + | 6319.57i | −0.426936 | + | 0.739474i | ||||
\(419\) | −9635.69 | − | 5563.17i | −1.12347 | − | 0.648636i | −0.181186 | − | 0.983449i | \(-0.557994\pi\) |
−0.942285 | + | 0.334813i | \(0.891327\pi\) | |||||||
\(420\) | 1.80030 | + | 10.2887i | 0.000209156 | + | 0.00119533i | ||||
\(421\) | 5843.61 | − | 10121.4i | 0.676485 | − | 1.17171i | −0.299547 | − | 0.954081i | \(-0.596836\pi\) |
0.976032 | − | 0.217625i | \(-0.0698311\pi\) | |||||||
\(422\) | 638.875 | + | 1106.56i | 0.0736965 | + | 0.127646i | ||||
\(423\) | 1751.00 | + | 4850.30i | 0.201269 | + | 0.557517i | ||||
\(424\) | −1164.55 | −0.133385 | ||||||||
\(425\) | −2002.33 | − | 1156.05i | −0.228535 | − | 0.131945i | ||||
\(426\) | −8004.33 | + | 6698.60i | −0.910354 | + | 0.761850i | ||||
\(427\) | 1840.78 | 0.208622 | ||||||||
\(428\) | −7.56592 | + | 4.36819i | −0.000854468 | + | 0.000493328i | ||||
\(429\) | 1015.44 | − | 849.791i | 0.114279 | − | 0.0956370i | ||||
\(430\) | 6990.24 | + | 4035.82i | 0.783952 | + | 0.452615i | ||||
\(431\) | −4712.21 | + | 2720.60i | −0.526634 | + | 0.304052i | −0.739645 | − | 0.672998i | \(-0.765006\pi\) |
0.213011 | + | 0.977050i | \(0.431673\pi\) | |||||||
\(432\) | 35.2948 | − | 8989.99i | 0.00393084 | − | 1.00123i | ||||
\(433\) | 1366.12 | − | 788.729i | 0.151620 | − | 0.0875379i | −0.422271 | − | 0.906470i | \(-0.638767\pi\) |
0.573891 | + | 0.818932i | \(0.305433\pi\) | |||||||
\(434\) | −2283.42 | − | 3954.99i | −0.252552 | − | 0.437432i | ||||
\(435\) | 18904.9 | + | 6908.87i | 2.08373 | + | 0.761505i | ||||
\(436\) | 7.40794 | − | 4.27698i | 0.000813707 | − | 0.000469794i | ||||
\(437\) | −6201.44 | + | 3580.40i | −0.678844 | + | 0.391931i | ||||
\(438\) | 3275.63 | − | 8963.20i | 0.357341 | − | 0.977804i | ||||
\(439\) | 2579.07 | − | 4467.08i | 0.280392 | − | 0.485654i | −0.691089 | − | 0.722770i | \(-0.742869\pi\) |
0.971481 | + | 0.237116i | \(0.0762021\pi\) | |||||||
\(440\) | 4044.91 | + | 7005.98i | 0.438258 | + | 0.759084i | ||||
\(441\) | −2397.82 | − | 2022.73i | −0.258916 | − | 0.218414i | ||||
\(442\) | 1111.77 | 0.119641 | ||||||||
\(443\) | −1745.80 | − | 3023.81i | −0.187235 | − | 0.324301i | 0.757092 | − | 0.653308i | \(-0.226619\pi\) |
−0.944328 | + | 0.329007i | \(0.893286\pi\) | |||||||
\(444\) | −6.96784 | − | 8.32605i | −0.000744773 | − | 0.000889948i | ||||
\(445\) | 10955.2i | 1.16702i | ||||||||
\(446\) | 2872.36 | − | 4975.08i | 0.304956 | − | 0.528199i | ||||
\(447\) | −3336.06 | + | 2791.86i | −0.352999 | + | 0.295415i | ||||
\(448\) | −6669.53 | + | 3850.66i | −0.703361 | + | 0.406086i | ||||
\(449\) | 6550.99 | − | 3782.22i | 0.688553 | − | 0.397537i | −0.114516 | − | 0.993421i | \(-0.536532\pi\) |
0.803070 | + | 0.595885i | \(0.203199\pi\) | |||||||
\(450\) | −3298.85 | − | 2782.81i | −0.345576 | − | 0.291517i | ||||
\(451\) | −2465.39 | + | 4270.18i | −0.257407 | + | 0.445842i | ||||
\(452\) | 1.20931 | − | 2.09458i | 0.000125843 | − | 0.000217966i | ||||
\(453\) | −6985.94 | + | 1222.39i | −0.724565 | + | 0.126783i | ||||
\(454\) | − | 1902.48i | − | 0.196669i | ||||||
\(455\) | 1946.83 | 0.200591 | ||||||||
\(456\) | 11237.8 | − | 1966.37i | 1.15408 | − | 0.201938i | ||||
\(457\) | −5946.10 | − | 10298.9i | −0.608636 | − | 1.05419i | −0.991465 | − | 0.130370i | \(-0.958383\pi\) |
0.382829 | − | 0.923819i | \(-0.374950\pi\) | |||||||
\(458\) | 12198.7 | − | 7042.93i | 1.24456 | − | 0.718547i | ||||
\(459\) | −5743.29 | − | 22.5482i | −0.584039 | − | 0.00229294i | ||||
\(460\) | − | 9.84399i | − | 0.000997780i | ||||||
\(461\) | 693.575i | 0.0700716i | 0.999386 | + | 0.0350358i | \(0.0111545\pi\) | ||||
−0.999386 | + | 0.0350358i | \(0.988845\pi\) | |||||||
\(462\) | −5524.19 | − | 2018.83i | −0.556295 | − | 0.203300i | ||||
\(463\) | 9611.63 | + | 5549.28i | 0.964774 | + | 0.557012i | 0.897639 | − | 0.440731i | \(-0.145281\pi\) |
0.0671349 | + | 0.997744i | \(0.478614\pi\) | |||||||
\(464\) | − | 18425.5i | − | 1.84349i | ||||||
\(465\) | 7044.34 | + | 2574.37i | 0.702523 | + | 0.256739i | ||||
\(466\) | 13163.3 | 1.30854 | ||||||||
\(467\) | −8781.63 | − | 5070.08i | −0.870162 | − | 0.502388i | −0.00275984 | − | 0.999996i | \(-0.500878\pi\) |
−0.867402 | + | 0.497608i | \(0.834212\pi\) | |||||||
\(468\) | 2.52682 | + | 0.452369i | 0.000249577 | + | 4.46811e-5i | ||||
\(469\) | −3182.66 | − | 7621.54i | −0.313350 | − | 0.750384i | ||||
\(470\) | − | 7281.72i | − | 0.714639i | ||||||
\(471\) | −10985.9 | + | 1922.29i | −1.07474 | + | 0.188057i | ||||
\(472\) | 18066.2i | 1.76179i | ||||||||
\(473\) | −4868.84 | + | 2811.02i | −0.473297 | + | 0.273258i | ||||
\(474\) | 9352.28 | − | 7826.66i | 0.906255 | − | 0.758419i | ||||
\(475\) | 2741.83 | − | 4748.99i | 0.264850 | − | 0.458733i | ||||
\(476\) | −3.05424 | − | 5.29010i | −0.000294098 | − | 0.000509393i | ||||
\(477\) | −245.032 | + | 1368.69i | −0.0235204 | + | 0.131379i | ||||
\(478\) | −13141.9 | −1.25752 | ||||||||
\(479\) | −5371.25 | − | 3101.09i | −0.512356 | − | 0.295809i | 0.221445 | − | 0.975173i | \(-0.428923\pi\) |
−0.733802 | + | 0.679364i | \(0.762256\pi\) | |||||||
\(480\) | −10.7733 | + | 29.4794i | −0.00102444 | + | 0.00280321i | ||||
\(481\) | −1752.50 | + | 1011.81i | −0.166127 | + | 0.0959137i | ||||
\(482\) | −4880.52 | + | 8453.30i | −0.461206 | + | 0.798833i | ||||
\(483\) | −3704.11 | − | 4426.14i | −0.348950 | − | 0.416969i | ||||
\(484\) | −6.20022 | −0.000582290 | ||||||||
\(485\) | 21630.8 | + | 12488.5i | 2.02516 | + | 1.16923i | ||||
\(486\) | −10545.4 | − | 1930.67i | −0.984259 | − | 0.180200i | ||||
\(487\) | −4902.52 | − | 2830.47i | −0.456169 | − | 0.263369i | 0.254263 | − | 0.967135i | \(-0.418167\pi\) |
−0.710432 | + | 0.703766i | \(0.751500\pi\) | |||||||
\(488\) | 2393.67 | + | 1381.99i | 0.222042 | + | 0.128196i | ||||
\(489\) | −4503.44 | + | 12322.9i | −0.416467 | + | 1.13959i | ||||
\(490\) | 2214.89 | + | 3836.31i | 0.204201 | + | 0.353687i | ||||
\(491\) | 15457.4i | 1.42074i | 0.703829 | + | 0.710370i | \(0.251472\pi\) | ||||
−0.703829 | + | 0.710370i | \(0.748528\pi\) | |||||||
\(492\) | −9.41604 | + | 1.64760i | −0.000862821 | + | 0.000150975i | ||||
\(493\) | −11771.2 | −1.07535 | ||||||||
\(494\) | 2636.81i | 0.240153i | ||||||||
\(495\) | 9085.20 | − | 3279.84i | 0.824948 | − | 0.297814i | ||||
\(496\) | − | 6865.68i | − | 0.621528i | ||||||
\(497\) | 5344.45 | − | 9256.87i | 0.482357 | − | 0.835467i | ||||
\(498\) | 2982.40 | + | 1089.93i | 0.268363 | + | 0.0980739i | ||||
\(499\) | 15935.6 | + | 9200.45i | 1.42961 | + | 0.825388i | 0.997090 | − | 0.0762341i | \(-0.0242896\pi\) |
0.432524 | + | 0.901622i | \(0.357623\pi\) | |||||||
\(500\) | −4.57285 | − | 7.92041i | −0.000409008 | − | 0.000708423i | ||||
\(501\) | 323.229 | + | 118.125i | 0.0288239 | + | 0.0105338i | ||||
\(502\) | −8429.82 | − | 14600.9i | −0.749485 | − | 1.29815i | ||||
\(503\) | 1373.67 | + | 2379.27i | 0.121767 | + | 0.210907i | 0.920465 | − | 0.390826i | \(-0.127810\pi\) |
−0.798697 | + | 0.601733i | \(0.794477\pi\) | |||||||
\(504\) | 3122.34 | + | 8648.92i | 0.275952 | + | 0.764391i | ||||
\(505\) | 6944.03 | + | 12027.4i | 0.611891 | + | 1.05983i | ||||
\(506\) | 4800.45 | + | 2771.54i | 0.421751 | + | 0.243498i | ||||
\(507\) | −3754.29 | + | 10273.0i | −0.328864 | + | 0.899879i | ||||
\(508\) | 9.41068 | − | 16.2998i | 0.000821912 | − | 0.00142359i | ||||
\(509\) | 18133.7i | 1.57910i | 0.613684 | + | 0.789552i | \(0.289687\pi\) | ||||
−0.613684 | + | 0.789552i | \(0.710313\pi\) | |||||||
\(510\) | 7617.39 | + | 2783.80i | 0.661379 | + | 0.241703i | ||||
\(511\) | 9772.89i | 0.846042i | ||||||||
\(512\) | −11563.6 | −0.998136 | ||||||||
\(513\) | 53.4782 | − | 13621.5i | 0.00460258 | − | 1.17233i | ||||
\(514\) | 5440.30i | 0.466851i | ||||||||
\(515\) | −2466.98 | − | 4272.93i | −0.211084 | − | 0.365608i | ||||
\(516\) | −10.2371 | − | 3.74116i | −0.000873374 | − | 0.000319177i | ||||
\(517\) | 4392.35 | + | 2535.93i | 0.373647 | + | 0.215725i | ||||
\(518\) | 7784.42 | + | 4494.33i | 0.660285 | + | 0.381216i | ||||
\(519\) | −2583.48 | − | 14764.6i | −0.218502 | − | 1.24874i | ||||
\(520\) | 2531.57 | + | 1461.60i | 0.213494 | + | 0.123261i | ||||
\(521\) | 17105.1 | 1.43836 | 0.719182 | − | 0.694822i | \(-0.244517\pi\) | ||||
0.719182 | + | 0.694822i | \(0.244517\pi\) | |||||||
\(522\) | −21628.6 | − | 3872.10i | −1.81352 | − | 0.324669i | ||||
\(523\) | 2660.12 | − | 4607.46i | 0.222407 | − | 0.385220i | −0.733131 | − | 0.680087i | \(-0.761942\pi\) |
0.955538 | + | 0.294867i | \(0.0952753\pi\) | |||||||
\(524\) | 19.7778 | − | 11.4187i | 0.00164885 | − | 0.000951965i | ||||
\(525\) | 4151.28 | + | 1517.10i | 0.345098 | + | 0.126117i | ||||
\(526\) | 18867.4 | + | 10893.1i | 1.56399 | + | 0.902969i | ||||
\(527\) | −4386.17 | −0.362551 | ||||||||
\(528\) | −5674.76 | − | 6780.92i | −0.467732 | − | 0.558905i | ||||
\(529\) | −3363.77 | − | 5826.21i | −0.276466 | − | 0.478854i | ||||
\(530\) | 981.722 | − | 1700.39i | 0.0804590 | − | 0.139359i | ||||
\(531\) | 21233.2 | + | 3801.31i | 1.73530 | + | 0.310665i | ||||
\(532\) | 12.5467 | − | 7.24382i | 0.00102249 | − | 0.000590337i | ||||
\(533\) | 1781.71i | 0.144792i | ||||||||
\(534\) | −2061.27 | − | 11780.2i | −0.167041 | − | 0.954642i | ||||
\(535\) | 11878.6i | 0.959917i | ||||||||
\(536\) | 1583.37 | − | 12300.1i | 0.127595 | − | 0.991201i | ||||
\(537\) | −4347.46 | − | 5194.89i | −0.349361 | − | 0.417460i | ||||
\(538\) | 8252.11 | + | 4764.36i | 0.661290 | + | 0.381796i | ||||
\(539\) | −3085.43 | −0.246565 | ||||||||
\(540\) | 16.1801 | + | 9.42646i | 0.00128941 | + | 0.000751204i | ||||
\(541\) | − | 4285.41i | − | 0.340562i | −0.985396 | − | 0.170281i | \(-0.945532\pi\) | ||
0.985396 | − | 0.170281i | \(-0.0544675\pi\) | |||||||
\(542\) | −18475.0 | − | 10666.6i | −1.46415 | − | 0.845328i | ||||
\(543\) | −698.699 | + | 1911.87i | −0.0552192 | + | 0.151098i | ||||
\(544\) | − | 18.3554i | − | 0.00144665i | ||||||
\(545\) | − | 11630.6i | − | 0.914125i | ||||||
\(546\) | −2093.45 | + | 366.307i | −0.164087 | + | 0.0287116i | ||||
\(547\) | −9555.72 | + | 5517.00i | −0.746935 | + | 0.431243i | −0.824585 | − | 0.565738i | \(-0.808591\pi\) |
0.0776506 | + | 0.996981i | \(0.475258\pi\) | |||||||
\(548\) | −6.32997 | − | 10.9638i | −0.000493436 | − | 0.000854656i | ||||
\(549\) | 2127.89 | − | 2522.49i | 0.165421 | − | 0.196097i | ||||
\(550\) | −4244.83 | −0.329091 | ||||||||
\(551\) | − | 27918.0i | − | 2.15853i | ||||||
\(552\) | −1493.69 | − | 8536.44i | −0.115173 | − | 0.658216i | ||||
\(553\) | −6244.48 | + | 10815.8i | −0.480185 | + | 0.831705i | ||||
\(554\) | −5211.07 | + | 9025.83i | −0.399634 | + | 0.692186i | ||||
\(555\) | −14541.0 | + | 2544.35i | −1.11213 | + | 0.194598i | ||||
\(556\) | −1.28860 | + | 0.743976i | −9.82895e−5 | + | 5.67475e-5i | ||||
\(557\) | 2163.92 | − | 1249.34i | 0.164611 | − | 0.0950382i | −0.415431 | − | 0.909625i | \(-0.636369\pi\) |
0.580042 | + | 0.814586i | \(0.303036\pi\) | |||||||
\(558\) | −8059.23 | − | 1442.82i | −0.611424 | − | 0.109461i | ||||
\(559\) | −1015.75 | + | 1759.33i | −0.0768543 | + | 0.133116i | ||||
\(560\) | − | 13000.6i | − | 0.981030i | ||||||
\(561\) | −4332.02 | + | 3625.35i | −0.326021 | + | 0.272838i | ||||
\(562\) | 3282.33 | + | 5685.15i | 0.246364 | + | 0.426715i | ||||
\(563\) | −6328.08 | −0.473706 | −0.236853 | − | 0.971545i | \(-0.576116\pi\) | ||||
−0.236853 | + | 0.971545i | \(0.576116\pi\) | |||||||
\(564\) | 1.69474 | + | 9.68545i | 0.000126527 | + | 0.000723105i | ||||
\(565\) | −1644.26 | − | 2847.94i | −0.122433 | − | 0.212059i | ||||
\(566\) | −6134.93 | + | 10626.0i | −0.455602 | + | 0.789125i | ||||
\(567\) | 10822.0 | − | 1849.86i | 0.801555 | − | 0.137013i | ||||
\(568\) | 13899.4 | − | 8024.80i | 1.02677 | − | 0.592805i | ||||
\(569\) | 9824.61 | − | 5672.24i | 0.723847 | − | 0.417913i | −0.0923197 | − | 0.995729i | \(-0.529428\pi\) |
0.816167 | + | 0.577816i | \(0.196095\pi\) | |||||||
\(570\) | −6602.41 | + | 18066.4i | −0.485166 | + | 1.32757i | ||||
\(571\) | −6405.74 | − | 11095.1i | −0.469478 | − | 0.813160i | 0.529913 | − | 0.848052i | \(-0.322225\pi\) |
−0.999391 | + | 0.0348922i | \(0.988891\pi\) | |||||||
\(572\) | 2.18651 | − | 1.26238i | 0.000159830 | − | 9.22777e-5i | ||||
\(573\) | −6510.51 | + | 1139.19i | −0.474660 | + | 0.0830551i | ||||
\(574\) | 6853.84 | − | 3957.07i | 0.498387 | − | 0.287744i | ||||
\(575\) | −3607.41 | − | 2082.74i | −0.261634 | − | 0.151054i | ||||
\(576\) | −2433.11 | + | 13590.8i | −0.176006 | + | 0.983128i | ||||
\(577\) | −7263.33 | + | 4193.49i | −0.524049 | + | 0.302560i | −0.738590 | − | 0.674155i | \(-0.764508\pi\) |
0.214541 | + | 0.976715i | \(0.431175\pi\) | |||||||
\(578\) | 9161.69 | 0.659301 | ||||||||
\(579\) | −1692.23 | − | 2022.09i | −0.121462 | − | 0.145138i | ||||
\(580\) | 33.2373 | + | 19.1895i | 0.00237949 | + | 0.00137380i | ||||
\(581\) | −3251.82 | −0.232200 | ||||||||
\(582\) | −25609.6 | − | 9359.09i | −1.82397 | − | 0.666576i | ||||
\(583\) | 683.788 | + | 1184.35i | 0.0485756 | + | 0.0841355i | ||||
\(584\) | −7337.10 | + | 12708.2i | −0.519882 | + | 0.900462i | ||||
\(585\) | 2250.49 | − | 2667.81i | 0.159053 | − | 0.188548i | ||||
\(586\) | −230.048 | − | 132.818i | −0.0162170 | − | 0.00936292i | ||||
\(587\) | −4333.87 | + | 7506.49i | −0.304733 | + | 0.527812i | −0.977202 | − | 0.212313i | \(-0.931900\pi\) |
0.672469 | + | 0.740125i | \(0.265234\pi\) | |||||||
\(588\) | −3.83890 | − | 4.58720i | −0.000269241 | − | 0.000321723i | ||||
\(589\) | − | 10402.8i | − | 0.727741i | ||||||
\(590\) | −26379.1 | − | 15230.0i | −1.84069 | − | 1.06272i | ||||
\(591\) | −4570.81 | + | 12507.2i | −0.318135 | + | 0.870523i | ||||
\(592\) | 6756.69 | + | 11702.9i | 0.469085 | + | 0.812479i | ||||
\(593\) | −2041.40 | + | 3535.81i | −0.141366 | + | 0.244854i | −0.928011 | − | 0.372552i | \(-0.878483\pi\) |
0.786645 | + | 0.617406i | \(0.211816\pi\) | |||||||
\(594\) | −9152.29 | + | 5236.28i | −0.632194 | + | 0.361695i | ||||
\(595\) | −8305.51 | −0.572257 | ||||||||
\(596\) | −7.18345 | + | 4.14736i | −0.000493700 | + | 0.000285038i | ||||
\(597\) | −20308.6 | + | 3553.56i | −1.39225 | + | 0.243614i | ||||
\(598\) | 2002.96 | 0.136969 | ||||||||
\(599\) | 12473.6 | + | 21604.9i | 0.850846 | + | 1.47371i | 0.880446 | + | 0.474147i | \(0.157244\pi\) |
−0.0295994 | + | 0.999562i | \(0.509423\pi\) | |||||||
\(600\) | 4259.16 | + | 5089.38i | 0.289799 | + | 0.346288i | ||||
\(601\) | −10142.7 | + | 17567.7i | −0.688403 | + | 1.19235i | 0.283952 | + | 0.958838i | \(0.408354\pi\) |
−0.972354 | + | 0.233510i | \(0.924979\pi\) | |||||||
\(602\) | 9023.66 | 0.610925 | ||||||||
\(603\) | −14123.1 | − | 4448.99i | −0.953795 | − | 0.300459i | ||||
\(604\) | −13.5230 | −0.000910995 | ||||||||
\(605\) | −4215.13 | + | 7300.81i | −0.283255 | + | 0.490612i | ||||
\(606\) | −9730.01 | − | 11626.6i | −0.652235 | − | 0.779373i | ||||
\(607\) | 6727.77 | + | 11652.8i | 0.449871 | + | 0.779199i | 0.998377 | − | 0.0569472i | \(-0.0181367\pi\) |
−0.548506 | + | 0.836146i | \(0.684803\pi\) | |||||||
\(608\) | 43.5339 | 0.00290384 | ||||||||
\(609\) | 22165.1 | − | 3878.40i | 1.47483 | − | 0.258064i | ||||
\(610\) | −4035.76 | + | 2330.05i | −0.267874 | + | 0.154657i | ||||
\(611\) | 1832.69 | 0.121346 | ||||||||
\(612\) | −10.7798 | − | 1.92988i | −0.000712008 | − | 0.000127469i | ||||
\(613\) | 3079.07 | − | 5333.11i | 0.202875 | − | 0.351391i | −0.746578 | − | 0.665298i | \(-0.768305\pi\) |
0.949454 | + | 0.313907i | \(0.101638\pi\) | |||||||
\(614\) | 1810.18 | + | 3135.32i | 0.118979 | + | 0.206077i | ||||
\(615\) | −4461.29 | + | 12207.6i | −0.292515 | + | 0.800417i | ||||
\(616\) | 7832.32 | + | 4521.99i | 0.512294 | + | 0.295773i | ||||
\(617\) | − | 2721.97i | − | 0.177605i | −0.996049 | − | 0.0888026i | \(-0.971696\pi\) | ||
0.996049 | − | 0.0888026i | \(-0.0283040\pi\) | |||||||
\(618\) | 3456.74 | + | 4130.55i | 0.225001 | + | 0.268860i | ||||
\(619\) | 180.787 | − | 313.133i | 0.0117390 | − | 0.0203326i | −0.860096 | − | 0.510132i | \(-0.829597\pi\) |
0.871835 | + | 0.489799i | \(0.162930\pi\) | |||||||
\(620\) | 12.3848 | + | 7.15039i | 0.000802237 | + | 0.000463172i | ||||
\(621\) | −10347.1 | − | 40.6230i | −0.668626 | − | 0.00262503i | ||||
\(622\) | −13005.3 | + | 22525.8i | −0.838366 | + | 1.45209i | ||||
\(623\) | 6123.64 | + | 10606.5i | 0.393802 | + | 0.682085i | ||||
\(624\) | −3000.95 | − | 1096.70i | −0.192522 | − | 0.0703579i | ||||
\(625\) | −19495.0 | −1.24768 | ||||||||
\(626\) | 7903.17 | + | 4562.90i | 0.504592 | + | 0.291326i | ||||
\(627\) | −8598.33 | − | 10274.4i | −0.547662 | − | 0.654416i | ||||
\(628\) | −21.2659 | −0.00135127 | ||||||||
\(629\) | 7476.47 | − | 4316.54i | 0.473937 | − | 0.273628i | ||||
\(630\) | −15260.7 | − | 2732.08i | −0.965081 | − | 0.172776i | ||||
\(631\) | −10409.8 | − | 6010.13i | −0.656750 | − | 0.379175i | 0.134288 | − | 0.990942i | \(-0.457125\pi\) |
−0.791038 | + | 0.611768i | \(0.790459\pi\) | |||||||
\(632\) | −16240.1 | + | 9376.21i | −1.02214 | + | 0.590136i | ||||
\(633\) | −2310.81 | + | 404.342i | −0.145097 | + | 0.0253888i | ||||
\(634\) | 9688.67 | − | 5593.75i | 0.606918 | − | 0.350404i | ||||
\(635\) | −12795.4 | − | 22162.3i | −0.799639 | − | 1.38501i | ||||
\(636\) | −0.910046 | + | 2.49019i | −5.67385e−5 | + | 0.000155255i | ||||
\(637\) | −965.533 | + | 557.451i | −0.0600562 | + | 0.0346735i | ||||
\(638\) | −18715.7 | + | 10805.5i | −1.16138 | + | 0.670524i | ||||
\(639\) | −6506.97 | − | 18024.4i | −0.402835 | − | 1.11586i | ||||
\(640\) | 9772.43 | − | 16926.3i | 0.603577 | − | 1.04543i | ||||
\(641\) | −11016.5 | − | 19081.1i | −0.678821 | − | 1.17575i | −0.975336 | − | 0.220724i | \(-0.929158\pi\) |
0.296516 | − | 0.955028i | \(-0.404175\pi\) | |||||||
\(642\) | −2235.02 | − | 12773.2i | −0.137398 | − | 0.785228i | ||||
\(643\) | 8921.14 | 0.547147 | 0.273574 | − | 0.961851i | \(-0.411794\pi\) | ||||
0.273574 | + | 0.961851i | \(0.411794\pi\) | |||||||
\(644\) | −5.50253 | − | 9.53067i | −0.000336693 | − | 0.000583169i | ||||
\(645\) | −11364.8 | + | 9510.84i | −0.693778 | + | 0.580603i | ||||
\(646\) | − | 11249.0i | − | 0.685121i | ||||||
\(647\) | 13547.1 | − | 23464.3i | 0.823172 | − | 1.42578i | −0.0801370 | − | 0.996784i | \(-0.525536\pi\) |
0.903309 | − | 0.428991i | \(-0.141131\pi\) | |||||||
\(648\) | 15461.3 | + | 5719.27i | 0.937308 | + | 0.346719i | ||||
\(649\) | 18373.5 | − | 10608.0i | 1.11128 | − | 0.641600i | ||||
\(650\) | −1328.35 | + | 766.923i | −0.0801571 | + | 0.0462787i | ||||
\(651\) | 8259.13 | − | 1445.17i | 0.497236 | − | 0.0870054i | ||||
\(652\) | −12.5084 | + | 21.6652i | −0.000751330 | + | 0.00130134i | ||||
\(653\) | −13446.8 | + | 23290.5i | −0.805839 | + | 1.39575i | 0.109884 | + | 0.993944i | \(0.464952\pi\) |
−0.915723 | + | 0.401810i | \(0.868381\pi\) | |||||||
\(654\) | 2188.35 | + | 12506.5i | 0.130843 | + | 0.747769i | ||||
\(655\) | − | 31051.4i | − | 1.85233i | ||||||
\(656\) | 11898.0 | 0.708136 | ||||||||
\(657\) | 13392.1 | + | 11297.2i | 0.795247 | + | 0.670846i | ||||
\(658\) | −4070.29 | − | 7049.94i | −0.241149 | − | 0.417683i | ||||
\(659\) | −20479.3 | + | 11823.7i | −1.21056 | + | 0.698918i | −0.962882 | − | 0.269924i | \(-0.913001\pi\) |
−0.247680 | + | 0.968842i | \(0.579668\pi\) | |||||||
\(660\) | 18.1420 | − | 3.17446i | 0.00106997 | − | 0.000187220i | ||||
\(661\) | 31195.8i | 1.83567i | 0.396966 | + | 0.917834i | \(0.370063\pi\) | ||||
−0.396966 | + | 0.917834i | \(0.629937\pi\) | |||||||
\(662\) | − | 30871.2i | − | 1.81245i | ||||||
\(663\) | −700.635 | + | 1917.17i | −0.0410413 | + | 0.112303i | ||||
\(664\) | −4228.52 | − | 2441.33i | −0.247136 | − | 0.142684i | ||||
\(665\) | − | 19698.4i | − | 1.14868i | ||||||
\(666\) | 15157.3 | − | 5471.93i | 0.881883 | − | 0.318368i | ||||
\(667\) | −21207.0 | −1.23109 | ||||||||
\(668\) | 0.568277 | + | 0.328095i | 3.29151e−5 | + | 1.90035e-5i | ||||
\(669\) | 6769.04 | + | 8088.50i | 0.391190 | + | 0.467443i | ||||
\(670\) | 16625.0 | + | 12681.0i | 0.958626 | + | 0.731209i | ||||
\(671\) | − | 3245.84i | − | 0.186743i | ||||||
\(672\) | 6.04777 | + | 34.5631i | 0.000347170 | + | 0.00198408i | ||||
\(673\) | − | 25418.0i | − | 1.45586i | −0.685652 | − | 0.727930i | \(-0.740483\pi\) | ||
0.685652 | − | 0.727930i | \(-0.259517\pi\) | |||||||
\(674\) | 21720.5 | − | 12540.4i | 1.24131 | − | 0.716671i | ||||
\(675\) | 6877.70 | − | 3934.92i | 0.392182 | − | 0.224378i | ||||
\(676\) | −10.4276 | + | 18.0612i | −0.000593288 | + | 0.00102760i | ||||
\(677\) | −9590.23 | − | 16610.8i | −0.544435 | − | 0.942989i | −0.998642 | − | 0.0520932i | \(-0.983411\pi\) |
0.454207 | − | 0.890896i | \(-0.349923\pi\) | |||||||
\(678\) | 2303.94 | + | 2753.04i | 0.130505 | + | 0.155944i | ||||
\(679\) | 27923.0 | 1.57819 | ||||||||
\(680\) | −10800.1 | − | 6235.44i | −0.609066 | − | 0.351645i | ||||
\(681\) | 3280.70 | + | 1198.94i | 0.184606 | + | 0.0674648i | ||||
\(682\) | −6973.82 | + | 4026.34i | −0.391556 | + | 0.226065i | ||||
\(683\) | 15900.3 | − | 27540.1i | 0.890786 | − | 1.54289i | 0.0518515 | − | 0.998655i | \(-0.483488\pi\) |
0.838935 | − | 0.544232i | \(-0.183179\pi\) | |||||||
\(684\) | 4.57715 | − | 25.5668i | 0.000255865 | − | 0.00142920i | ||||
\(685\) | −17213.3 | −0.960127 | ||||||||
\(686\) | 16949.9 | + | 9786.05i | 0.943369 | + | 0.544655i | ||||
\(687\) | 4457.45 | + | 25474.3i | 0.247543 | + | 1.41471i | ||||
\(688\) | 11748.5 | + | 6783.00i | 0.651028 | + | 0.375871i | ||||
\(689\) | 427.960 | + | 247.083i | 0.0236632 | + | 0.0136620i | ||||
\(690\) | 13723.5 | + | 5015.30i | 0.757168 | + | 0.276709i | ||||
\(691\) | 321.358 | + | 556.609i | 0.0176918 | + | 0.0306431i | 0.874736 | − | 0.484600i | \(-0.161035\pi\) |
−0.857044 | + | 0.515243i | \(0.827702\pi\) | |||||||
\(692\) | − | 28.5805i | − | 0.00157004i | ||||||
\(693\) | 6962.68 | − | 8253.83i | 0.381660 | − | 0.452435i | ||||
\(694\) | −949.993 | −0.0519614 | ||||||||
\(695\) | 2023.12i | 0.110419i | ||||||||
\(696\) | 31734.2 | + | 11597.4i | 1.72828 | + | 0.631605i | ||||
\(697\) | − | 7601.06i | − | 0.413071i | ||||||
\(698\) | 14608.1 | − | 25301.9i | 0.792154 | − | 1.37205i | ||||
\(699\) | −8295.51 | + | 22699.2i | −0.448877 | + | 1.22828i | ||||
\(700\) | 7.29847 | + | 4.21377i | 0.000394080 | + | 0.000227522i | ||||
\(701\) | −2606.67 | − | 4514.89i | −0.140446 | − | 0.243260i | 0.787219 | − | 0.616674i | \(-0.211520\pi\) |
−0.927665 | + | 0.373414i | \(0.878187\pi\) | |||||||
\(702\) | −1918.01 | + | 3292.17i | −0.103120 | + | 0.177001i | ||||
\(703\) | 10237.7 | + | 17732.1i | 0.549247 | + | 0.951323i | ||||
\(704\) | 6789.85 | + | 11760.4i | 0.363497 | + | 0.629596i | ||||
\(705\) | 12556.8 | + | 4588.94i | 0.670806 | + | 0.245148i | ||||
\(706\) | −582.203 | − | 1008.41i | −0.0310361 | − | 0.0537562i | ||||
\(707\) | 13446.0 | + | 7763.06i | 0.715260 | + | 0.412956i | ||||
\(708\) | 38.6316 | + | 14.1180i | 0.00205065 | + | 0.000749417i | ||||
\(709\) | −11796.1 | + | 20431.5i | −0.624843 | + | 1.08226i | 0.363728 | + | 0.931505i | \(0.381504\pi\) |
−0.988571 | + | 0.150755i | \(0.951830\pi\) | |||||||
\(710\) | 27059.9i | 1.43034i | ||||||||
\(711\) | 7602.76 | + | 21059.8i | 0.401021 | + | 1.11083i | ||||
\(712\) | 18389.5i | 0.967946i | ||||||||
\(713\) | −7902.14 | −0.415060 | ||||||||
\(714\) | 8931.00 | − | 1562.73i | 0.468115 | − | 0.0819098i | ||||
\(715\) | − | 3432.84i | − | 0.179554i | ||||||
\(716\) | −6.45824 | − | 11.1860i | −0.000337089 | − | 0.000583855i | ||||
\(717\) | 8282.02 | − | 22662.3i | 0.431378 | − | 1.18039i | ||||
\(718\) | −14321.6 | − | 8268.60i | −0.744400 | − | 0.429779i | ||||
\(719\) | 2773.23 | + | 1601.12i | 0.143844 | + | 0.0830485i | 0.570195 | − | 0.821509i | \(-0.306868\pi\) |
−0.426351 | + | 0.904558i | \(0.640201\pi\) | |||||||
\(720\) | −17815.2 | − | 15028.4i | −0.922131 | − | 0.777882i | ||||
\(721\) | −4776.91 | − | 2757.95i | −0.246743 | − | 0.142457i | ||||
\(722\) | 7267.48 | 0.374609 | ||||||||
\(723\) | −11501.5 | − | 13743.4i | −0.591624 | − | 0.706947i | ||||
\(724\) | −1.94065 | + | 3.36131i | −9.96185e−5 | + | 0.000172544i | ||||
\(725\) | 14064.3 | − | 8120.05i | 0.720464 | − | 0.415960i | ||||
\(726\) | 3158.88 | − | 8643.74i | 0.161484 | − | 0.441872i | ||||
\(727\) | 5016.95 | + | 2896.54i | 0.255940 | + | 0.147767i | 0.622481 | − | 0.782635i | \(-0.286125\pi\) |
−0.366541 | + | 0.930402i | \(0.619458\pi\) | |||||||
\(728\) | 3267.99 | 0.166373 | ||||||||
\(729\) | 9975.04 | − | 16968.2i | 0.506785 | − | 0.862073i | ||||
\(730\) | −12370.5 | − | 21426.3i | −0.627193 | − | 1.08633i | ||||
\(731\) | 4333.35 | − | 7505.57i | 0.219254 | − | 0.379759i | ||||
\(732\) | 4.82569 | − | 4.03849i | 0.000243665 | − | 0.000203916i | ||||
\(733\) | 548.959 | − | 316.942i | 0.0276620 | − | 0.0159707i | −0.486105 | − | 0.873900i | \(-0.661583\pi\) |
0.513767 | + | 0.857930i | \(0.328249\pi\) | |||||||
\(734\) | 35067.3i | 1.76343i | ||||||||
\(735\) | −8011.28 | + | 1401.80i | −0.402042 | + | 0.0703484i | ||||
\(736\) | − | 33.0691i | − | 0.00165617i | ||||||
\(737\) | −13439.0 | + | 5611.96i | −0.671686 | + | 0.280488i | ||||
\(738\) | 2500.35 | − | 13966.3i | 0.124714 | − | 0.696623i | ||||
\(739\) | 19110.0 | + | 11033.2i | 0.951251 | + | 0.549205i | 0.893469 | − | 0.449124i | \(-0.148264\pi\) |
0.0577817 | + | 0.998329i | \(0.481597\pi\) | |||||||
\(740\) | −28.1475 | −0.00139828 | ||||||||
\(741\) | −4547.00 | − | 1661.71i | −0.225423 | − | 0.0823814i | ||||
\(742\) | − | 2195.03i | − | 0.108601i | ||||||
\(743\) | −5938.43 | − | 3428.55i | −0.293216 | − | 0.169289i | 0.346175 | − | 0.938170i | \(-0.387480\pi\) |
−0.639391 | + | 0.768881i | \(0.720814\pi\) | |||||||
\(744\) | 11824.8 | + | 4321.40i | 0.582684 | + | 0.212944i | ||||
\(745\) | 11278.1i | 0.554627i | ||||||||
\(746\) | 23355.8i | 1.14627i | ||||||||
\(747\) | −3759.02 | + | 4456.08i | −0.184117 | + | 0.218259i | ||||
\(748\) | −9.32801 | + | 5.38553i | −0.000455970 | + | 0.000263255i | ||||
\(749\) | 6639.81 | + | 11500.5i | 0.323916 | + | 0.561040i | ||||
\(750\) | 13371.6 | − | 2339.74i | 0.651017 | − | 0.113914i | ||||
\(751\) | 12502.8 | 0.607504 | 0.303752 | − | 0.952751i | \(-0.401761\pi\) | ||||
0.303752 | + | 0.952751i | \(0.401761\pi\) | |||||||
\(752\) | − | 12238.4i | − | 0.593467i | ||||||
\(753\) | 30490.7 | − | 5335.20i | 1.47562 | − | 0.258201i | ||||
\(754\) | −3904.51 | + | 6762.81i | −0.188586 | + | 0.326641i | ||||
\(755\) | −9193.37 | + | 15923.4i | −0.443154 | + | 0.767565i | ||||
\(756\) | 20.9342 | + | 0.0821879i | 0.00100710 | + | 3.95390e-6i | ||||
\(757\) | −19137.2 | + | 11048.9i | −0.918830 | + | 0.530487i | −0.883262 | − | 0.468880i | \(-0.844658\pi\) |
−0.0355685 | + | 0.999367i | \(0.511324\pi\) | |||||||
\(758\) | 21907.5 | − | 12648.3i | 1.04976 | − | 0.606078i | ||||
\(759\) | −7804.59 | + | 6531.44i | −0.373239 | + | 0.312354i | ||||
\(760\) | 14788.8 | − | 25614.9i | 0.705849 | − | 1.22257i | ||||
\(761\) | − | 34934.4i | − | 1.66409i | −0.554711 | − | 0.832043i | \(-0.687171\pi\) | ||
0.554711 | − | 0.832043i | \(-0.312829\pi\) | |||||||
\(762\) | 17929.0 | + | 21423.8i | 0.852361 | + | 1.01851i | ||||
\(763\) | −6501.17 | − | 11260.4i | −0.308464 | − | 0.534276i | ||||
\(764\) | −12.6026 | −0.000596790 | ||||||||
\(765\) | −9600.95 | + | 11381.3i | −0.453756 | + | 0.537899i | ||||
\(766\) | −17432.4 | − | 30193.8i | −0.822269 | − | 1.42421i | ||||
\(767\) | 3833.12 | − | 6639.17i | 0.180451 | − | 0.312551i | ||||
\(768\) | −27.1433 | + | 74.2730i | −0.00127532 | + | 0.00348971i | ||||
\(769\) | 15072.0 | − | 8701.83i | 0.706776 | − | 0.408057i | −0.103090 | − | 0.994672i | \(-0.532873\pi\) |
0.809866 | + | 0.586615i | \(0.199540\pi\) | |||||||
\(770\) | −13205.4 | + | 7624.14i | −0.618039 | + | 0.356825i | ||||
\(771\) | −9381.43 | − | 3428.47i | −0.438215 | − | 0.160147i | ||||
\(772\) | −2.51384 | − | 4.35410i | −0.000117196 | − | 0.000202989i | ||||
\(773\) | 10098.1 | − | 5830.15i | 0.469863 | − | 0.271275i | −0.246319 | − | 0.969189i | \(-0.579221\pi\) |
0.716182 | + | 0.697913i | \(0.245888\pi\) | |||||||
\(774\) | 10431.1 | − | 12365.4i | 0.484417 | − | 0.574247i | ||||
\(775\) | 5240.64 | − | 3025.68i | 0.242902 | − | 0.140240i | ||||
\(776\) | 36309.8 | + | 20963.5i | 1.67970 | + | 0.969775i | ||||
\(777\) | −12655.9 | + | 10591.4i | −0.584335 | + | 0.489014i | ||||
\(778\) | −9021.94 | + | 5208.82i | −0.415748 | + | 0.240032i | ||||
\(779\) | 18027.6 | 0.829149 | ||||||||
\(780\) | 5.10371 | − | 4.27115i | 0.000234285 | − | 0.000196066i | ||||
\(781\) | −16322.6 | − | 9423.86i | −0.747847 | − | 0.431770i | ||||
\(782\) | −8544.97 | −0.390751 | ||||||||
\(783\) | 20307.5 | − | 34856.9i | 0.926861 | − | 1.59091i | ||||
\(784\) | 3722.57 | + | 6447.67i | 0.169578 | + | 0.293717i | ||||
\(785\) | −14457.3 | + | 25040.7i | −0.657328 | + | 1.13853i | ||||
\(786\) | 5842.50 | + | 33389.9i | 0.265134 | + | 1.51524i | ||||
\(787\) | −24250.2 | − | 14000.8i | −1.09838 | − | 0.634150i | −0.162585 | − | 0.986695i | \(-0.551983\pi\) |
−0.935795 | + | 0.352545i | \(0.885316\pi\) | |||||||
\(788\) | −12.6955 | + | 21.9893i | −0.000573933 | + | 0.000994082i | ||||
\(789\) | −30674.7 | + | 25670.8i | −1.38409 | + | 1.15831i | ||||
\(790\) | − | 31616.9i | − | 1.42390i | ||||||
\(791\) | −3183.84 | − | 1838.19i | −0.143116 | − | 0.0826278i | ||||
\(792\) | 15250.6 | − | 5505.60i | 0.684225 | − | 0.247011i | ||||
\(793\) | −586.434 | − | 1015.73i | −0.0262609 | − | 0.0454852i | ||||
\(794\) | −20265.4 | + | 35100.7i | −0.905784 | + | 1.56886i | ||||
\(795\) | 2313.53 | + | 2764.50i | 0.103211 | + | 0.123329i | ||||
\(796\) | −39.3121 | −0.00175048 | ||||||||
\(797\) | −17581.6 | + | 10150.7i | −0.781394 | + | 0.451138i | −0.836924 | − | 0.547319i | \(-0.815649\pi\) |
0.0555299 | + | 0.998457i | \(0.482315\pi\) | |||||||
\(798\) | 3706.36 | + | 21181.9i | 0.164416 | + | 0.939638i | ||||
\(799\) | −7818.54 | −0.346183 | ||||||||
\(800\) | 12.6620 | + | 21.9312i | 0.000559586 | + | 0.000969231i | ||||
\(801\) | 21613.2 | + | 3869.34i | 0.953388 | + | 0.170682i | ||||
\(802\) | −4065.34 | + | 7041.37i | −0.178993 | + | 0.310024i | ||||
\(803\) | 17232.5 | 0.757312 | ||||||||
\(804\) | −25.0644 | − | 12.9978i | −0.00109944 | − | 0.000570145i | ||||
\(805\) | −14963.2 | −0.655137 | ||||||||
\(806\) | −1454.89 | + | 2519.95i | −0.0635812 | + | 0.110126i | ||||
\(807\) | −13416.3 | + | 11227.7i | −0.585225 | + | 0.489758i | ||||
\(808\) | 11656.4 | + | 20189.4i | 0.507512 | + | 0.879037i | ||||
\(809\) | −22104.3 | −0.960623 | −0.480312 | − | 0.877098i | \(-0.659476\pi\) | ||||
−0.480312 | + | 0.877098i | \(0.659476\pi\) | |||||||
\(810\) | −21384.8 | + | 17754.1i | −0.927638 | + | 0.770142i | ||||
\(811\) | 19310.4 | − | 11148.8i | 0.836102 | − | 0.482724i | −0.0198356 | − | 0.999803i | \(-0.506314\pi\) |
0.855937 | + | 0.517080i | \(0.172981\pi\) | |||||||
\(812\) | 42.9058 | 0.00185431 | ||||||||
\(813\) | 30036.7 | − | 25136.9i | 1.29574 | − | 1.08437i | ||||
\(814\) | 7924.84 | − | 13726.2i | 0.341235 | − | 0.591037i | ||||
\(815\) | 17007.3 | + | 29457.5i | 0.730969 | + | 1.26608i | ||||
\(816\) | 12802.5 | + | 4678.72i | 0.549238 | + | 0.200721i | ||||
\(817\) | 17801.2 | + | 10277.5i | 0.762282 | + | 0.440104i | ||||
\(818\) | 19396.5i | 0.829072i | ||||||||
\(819\) | 687.618 | − | 3840.86i | 0.0293374 | − | 0.163871i | ||||
\(820\) | −12.3913 | + | 21.4624i | −0.000527713 | + | 0.000914025i | ||||
\(821\) | −18153.1 | − | 10480.7i | −0.771679 | − | 0.445529i | 0.0617939 | − | 0.998089i | \(-0.480318\pi\) |
−0.833473 | + | 0.552560i | \(0.813651\pi\) | |||||||
\(822\) | 18509.7 | − | 3238.78i | 0.785400 | − | 0.137428i | ||||
\(823\) | −2542.07 | + | 4402.99i | −0.107668 | + | 0.186487i | −0.914825 | − | 0.403850i | \(-0.867672\pi\) |
0.807157 | + | 0.590337i | \(0.201005\pi\) | |||||||
\(824\) | −4141.12 | − | 7172.63i | −0.175076 | − | 0.303241i | ||||
\(825\) | 2675.09 | − | 7319.93i | 0.112891 | − | 0.308906i | ||||
\(826\) | −34052.6 | −1.43443 | ||||||||
\(827\) | −26104.2 | − | 15071.3i | −1.09762 | − | 0.633712i | −0.162026 | − | 0.986786i | \(-0.551803\pi\) |
−0.935595 | + | 0.353074i | \(0.885136\pi\) | |||||||
\(828\) | −19.4210 | − | 3.47688i | −0.000815128 | − | 0.000145930i | ||||
\(829\) | −11104.6 | −0.465234 | −0.232617 | − | 0.972568i | \(-0.574729\pi\) | ||||
−0.232617 | + | 0.972568i | \(0.574729\pi\) | |||||||
\(830\) | 7129.34 | − | 4116.13i | 0.298148 | − | 0.172136i | ||||
\(831\) | −12280.4 | − | 14674.2i | −0.512640 | − | 0.612567i | ||||
\(832\) | 4249.54 | + | 2453.47i | 0.177075 | + | 0.102234i | ||||
\(833\) | 4119.12 | − | 2378.18i | 0.171332 | − | 0.0989183i | ||||
\(834\) | −380.662 | − | 2175.48i | −0.0158048 | − | 0.0903247i | ||||
\(835\) | 772.669 | − | 446.100i | 0.0320231 | − | 0.0184886i | ||||
\(836\) | −12.7730 | − | 22.1235i | −0.000528425 | − | 0.000915259i | ||||
\(837\) | 7566.97 | − | 12988.4i | 0.312488 | − | 0.536372i | ||||
\(838\) | 27270.7 | − | 15744.8i | 1.12417 | − | 0.649037i | ||||
\(839\) | 20264.5 | − | 11699.7i | 0.833860 | − | 0.481429i | −0.0213125 | − | 0.999773i | \(-0.506784\pi\) |
0.855172 | + | 0.518344i | \(0.173451\pi\) | |||||||
\(840\) | 22391.0 | + | 8182.86i | 0.919718 | + | 0.336114i | ||||
\(841\) | 29145.8 | − | 50482.0i | 1.19504 | − | 2.06987i | ||||
\(842\) | 16538.5 | + | 28645.5i | 0.676904 | + | 1.17243i | ||||
\(843\) | −11872.2 | + | 2077.37i | −0.485054 | + | 0.0848737i | ||||
\(844\) | −4.47313 | −0.000182431 | ||||||||
\(845\) | 14178.1 | + | 24557.2i | 0.577210 | + | 0.999757i | ||||
\(846\) | −14365.9 | − | 2571.89i | −0.583819 | − | 0.104519i | ||||
\(847\) | 9424.58i | 0.382329i | ||||||||
\(848\) | 1649.98 | − | 2857.85i | 0.0668166 | − | 0.115730i | ||||
\(849\) | −14457.6 | − | 17275.8i | −0.584434 | − | 0.698356i | ||||
\(850\) | 5666.96 | − | 3271.82i | 0.228676 | − | 0.132026i | ||||
\(851\) | 13469.6 | − | 7776.70i | 0.542577 | − | 0.313257i | ||||
\(852\) | −6.29789 | − | 35.9925i | −0.000253242 | − | 0.00144728i | ||||
\(853\) | 21453.4 | − | 37158.3i | 0.861137 | − | 1.49153i | −0.00969564 | − | 0.999953i | \(-0.503086\pi\) |
0.870833 | − | 0.491580i | \(-0.163580\pi\) | |||||||
\(854\) | −2604.87 | + | 4511.77i | −0.104376 | + | 0.180784i | ||||
\(855\) | −26993.4 | − | 22770.8i | −1.07971 | − | 0.910814i | ||||
\(856\) | 19939.6i | 0.796170i | ||||||||
\(857\) | −23821.2 | −0.949493 | −0.474746 | − | 0.880123i | \(-0.657460\pi\) | ||||
−0.474746 | + | 0.880123i | \(0.657460\pi\) | |||||||
\(858\) | 645.908 | + | 3691.37i | 0.0257004 | + | 0.146878i | ||||
\(859\) | 5235.54 | + | 9068.22i | 0.207956 | + | 0.360191i | 0.951071 | − | 0.308974i | \(-0.0999856\pi\) |
−0.743114 | + | 0.669164i | \(0.766652\pi\) | |||||||
\(860\) | −24.4714 | + | 14.1286i | −0.000970310 | + | 0.000560209i | ||||
\(861\) | 2504.42 | + | 14312.7i | 0.0991292 | + | 0.566524i | ||||
\(862\) | − | 15399.5i | − | 0.608481i | ||||||
\(863\) | 38202.9i | 1.50688i | 0.657514 | + | 0.753442i | \(0.271608\pi\) | ||||
−0.657514 | + | 0.753442i | \(0.728392\pi\) | |||||||
\(864\) | 54.3541 | + | 31.6665i | 0.00214023 | + | 0.00124689i | ||||
\(865\) | −33653.7 | − | 19430.0i | −1.32284 | − | 0.763745i | ||||
\(866\) | 4464.49i | 0.175184i | ||||||||
\(867\) | −5773.69 | + | 15798.7i | −0.226165 | + | 0.618862i | ||||
\(868\) | 15.9875 | 0.000625175 | ||||||||
\(869\) | 19071.4 | + | 11010.9i | 0.744479 | + | 0.429825i | ||||
\(870\) | −43685.8 | + | 36559.5i | −1.70240 | + | 1.42469i | ||||
\(871\) | −3191.59 | + | 4184.23i | −0.124160 | + | 0.162775i | ||||
\(872\) | − | 19523.3i | − | 0.758190i | ||||||
\(873\) | 32278.3 | − | 38263.9i | 1.25138 | − | 1.48343i | ||||
\(874\) | − | 20266.3i | − | 0.784347i | ||||||
\(875\) | −12039.3 | + | 6950.91i | −0.465147 | + | 0.268553i | ||||
\(876\) | 21.4407 | + | 25.6201i | 0.000826958 | + | 0.000988154i | ||||
\(877\) | −13111.7 | + | 22710.2i | −0.504848 | + | 0.874423i | 0.495136 | + | 0.868815i | \(0.335118\pi\) |
−0.999984 | + | 0.00560733i | \(0.998215\pi\) | |||||||
\(878\) | 7299.23 | + | 12642.6i | 0.280566 | + | 0.485955i | ||||
\(879\) | 374.012 | − | 313.000i | 0.0143517 | − | 0.0120105i | ||||
\(880\) | −22924.0 | −0.878144 | ||||||||
\(881\) | −34462.2 | − | 19896.8i | −1.31789 | − | 0.760885i | −0.334502 | − | 0.942395i | \(-0.608568\pi\) |
−0.983389 | + | 0.181511i | \(0.941901\pi\) | |||||||
\(882\) | 8350.86 | − | 3014.73i | 0.318807 | − | 0.115092i | ||||
\(883\) | −27025.1 | + | 15603.0i | −1.02998 | + | 0.594656i | −0.916978 | − | 0.398939i | \(-0.869379\pi\) |
−0.112998 | + | 0.993595i | \(0.536045\pi\) | |||||||
\(884\) | −1.94603 | + | 3.37062i | −7.40408e−5 | + | 0.000128242i | ||||
\(885\) | 42887.1 | − | 35891.0i | 1.62897 | − | 1.36324i | ||||
\(886\) | 9881.83 | 0.374703 | ||||||||
\(887\) | 7932.01 | + | 4579.55i | 0.300260 | + | 0.173355i | 0.642560 | − | 0.766236i | \(-0.277872\pi\) |
−0.342300 | + | 0.939591i | \(0.611206\pi\) | |||||||
\(888\) | −24408.8 | + | 4271.00i | −0.922415 | + | 0.161402i | ||||
\(889\) | −24776.3 | − | 14304.6i | −0.934725 | − | 0.539663i | ||||
\(890\) | −26851.2 | − | 15502.5i | −1.01130 | − | 0.583872i | ||||
\(891\) | −3261.84 | − | 19082.4i | −0.122644 | − | 0.717492i | ||||
\(892\) | 10.0555 | + | 17.4167i | 0.000377449 | + | 0.000653761i | ||||
\(893\) | − | 18543.4i | − | 0.694885i | ||||||
\(894\) | −2122.04 | − | 12127.4i | −0.0793864 | − | 0.453694i | ||||
\(895\) | −17562.1 | −0.655908 | ||||||||
\(896\) | − | 21850.1i | − | 0.814689i | ||||||
\(897\) | −1262.27 | + | 3453.98i | −0.0469854 | + | 0.128567i | ||||
\(898\) | 21408.7i | 0.795565i | ||||||||
\(899\) | 15404.2 | − | 26680.8i | 0.571477 | − | 0.989827i | ||||
\(900\) | 14.2111 | − | 5.13034i | 0.000526338 | − | 0.000190013i | ||||
\(901\) | −1825.75 | − | 1054.10i | −0.0675077 | − | 0.0389756i | ||||
\(902\) | −6977.48 | − | 12085.4i | −0.257566 | − | 0.446118i | ||||
\(903\) | −5686.71 | + | 15560.7i | −0.209570 | + | 0.573453i | ||||
\(904\) | −2760.08 | − | 4780.60i | −0.101547 | − | 0.175885i | ||||
\(905\) | 2638.65 | + | 4570.27i | 0.0969189 | + | 0.167868i | ||||
\(906\) | 6889.65 | − | 18852.4i | 0.252642 | − | 0.691311i | ||||
\(907\) | 25027.3 | + | 43348.5i | 0.916226 | + | 1.58695i | 0.805096 | + | 0.593145i | \(0.202114\pi\) |
0.111131 | + | 0.993806i | \(0.464553\pi\) | |||||||
\(908\) | 5.76789 | + | 3.33009i | 0.000210808 | + | 0.000121710i | ||||
\(909\) | 26181.2 | − | 9451.65i | 0.955309 | − | 0.344875i | ||||
\(910\) | −2754.94 | + | 4771.70i | −0.100358 | + | 0.173824i | ||||
\(911\) | 27655.8i | 1.00579i | 0.864347 | + | 0.502896i | \(0.167732\pi\) | ||||
−0.864347 | + | 0.502896i | \(0.832268\pi\) | |||||||
\(912\) | −11096.7 | + | 30364.1i | −0.402902 | + | 1.10247i | ||||
\(913\) | 5733.92i | 0.207848i | ||||||||
\(914\) | 33657.0 | 1.21803 | ||||||||
\(915\) | −1474.68 | − | 8427.80i | −0.0532802 | − | 0.304497i | ||||
\(916\) | 49.3117i | 0.00177872i | ||||||||
\(917\) | −17356.9 | − | 30063.1i | −0.625056 | − | 1.08263i | ||||
\(918\) | 8182.54 | − | 14044.9i | 0.294187 | − | 0.504959i | ||||
\(919\) | −37471.0 | − | 21633.9i | −1.34500 | − | 0.776535i | −0.357463 | − | 0.933927i | \(-0.616358\pi\) |
−0.987536 | + | 0.157392i | \(0.949691\pi\) | |||||||
\(920\) | −19457.5 | − | 11233.8i | −0.697278 | − | 0.402574i | ||||
\(921\) | −6547.44 | + | 1145.66i | −0.234251 | + | 0.0409888i | ||||
\(922\) | −1699.96 | − | 981.471i | −0.0607214 | − | 0.0350575i | ||||
\(923\) | −6810.51 | −0.242872 | ||||||||
\(924\) | 15.7901 | − | 13.2143i | 0.000562184 | − | 0.000470476i | ||||
\(925\) | −5955.31 | + | 10314.9i | −0.211686 | + | 0.366650i | ||||
\(926\) | −27202.6 | + | 15705.4i | −0.965371 | + | 0.557357i | ||||
\(927\) | −9301.31 | + | 3357.86i | −0.329552 | + | 0.118971i | ||||
\(928\) | 111.655 | + | 64.4639i | 0.00394962 | + | 0.00228031i | ||||
\(929\) | 46807.0 | 1.65306 | 0.826528 | − | 0.562896i | \(-0.190313\pi\) | ||||
0.826528 | + | 0.562896i | \(0.190313\pi\) | |||||||
\(930\) | −16278.2 | + | 13622.7i | −0.573960 | + | 0.480331i | ||||
\(931\) | 5640.39 | + | 9769.44i | 0.198557 | + | 0.343910i | ||||
\(932\) | −23.0410 | + | 39.9081i | −0.000809799 | + | 0.00140261i | ||||
\(933\) | −30648.3 | − | 36622.5i | −1.07544 | − | 1.28507i | ||||
\(934\) | 24853.6 | − | 14349.2i | 0.870701 | − | 0.502699i | ||||
\(935\) | 14645.1i | 0.512241i | ||||||||
\(936\) | 3777.71 | − | 4478.25i | 0.131921 | − | 0.156385i | ||||
\(937\) | 29640.4i | 1.03341i | 0.856162 | + | 0.516707i | \(0.172842\pi\) | ||||
−0.856162 | + | 0.516707i | \(0.827158\pi\) | |||||||
\(938\) | 23184.2 | + | 2984.45i | 0.807026 | + | 0.103887i | ||||
\(939\) | −12849.0 | + | 10753.0i | −0.446551 | + | 0.373706i | ||||
\(940\) | 22.0765 | + | 12.7459i | 0.000766018 | + | 0.000442260i | ||||
\(941\) | −49685.4 | −1.72125 | −0.860626 | − | 0.509238i | \(-0.829927\pi\) | ||||
−0.860626 | + | 0.509238i | \(0.829927\pi\) | |||||||
\(942\) | 10834.5 | − | 29646.8i | 0.374742 | − | 1.02542i | ||||
\(943\) | − | 13694.1i | − | 0.472897i | ||||||
\(944\) | −44335.3 | − | 25597.0i | −1.52859 | − | 0.882532i | ||||
\(945\) | 14328.6 | − | 24594.3i | 0.493237 | − | 0.846618i | ||||
\(946\) | − | 15911.4i | − | 0.546854i | ||||||
\(947\) | 19042.6i | 0.653433i | 0.945122 | + | 0.326716i | \(0.105942\pi\) | ||||
−0.945122 | + | 0.326716i | \(0.894058\pi\) | |||||||
\(948\) | 7.35848 | + | 42.0538i | 0.000252102 | + | 0.00144076i | ||||
\(949\) | 5392.63 | − | 3113.43i | 0.184460 | − | 0.106498i | ||||
\(950\) | 7759.86 | + | 13440.5i | 0.265014 | + | 0.459017i | ||||
\(951\) | 3540.27 | + | 20232.7i | 0.120716 | + | 0.689893i | ||||
\(952\) | −13941.8 | −0.474639 | ||||||||
\(953\) | − | 33564.3i | − | 1.14087i | −0.821341 | − | 0.570437i | \(-0.806774\pi\) | ||
0.821341 | − | 0.570437i | \(-0.193226\pi\) | |||||||
\(954\) | −3007.92 | − | 2537.39i | −0.102081 | − | 0.0861123i | ||||
\(955\) | −8567.71 | + | 14839.7i | −0.290308 | + | 0.502829i | ||||
\(956\) | 23.0035 | − | 39.8433i | 0.000778229 | − | 0.00134793i | ||||
\(957\) | −6838.77 | − | 39083.6i | −0.230999 | − | 1.32016i | ||||
\(958\) | 15201.6 | − | 8776.64i | 0.512673 | − | 0.295992i | ||||
\(959\) | −16665.4 | + | 9621.79i | −0.561163 | + | 0.323987i | ||||
\(960\) | 22972.8 | + | 27450.8i | 0.772339 | + | 0.922888i | ||||
\(961\) | −9155.61 | + | 15858.0i | −0.307328 | + | 0.532308i | ||||
\(962\) | − | 5727.19i | − | 0.191946i | ||||||
\(963\) | 23435.0 | + | 4195.49i | 0.784197 | + | 0.140392i | ||||
\(964\) | −17.0857 | − | 29.5932i | −0.000570843 | − | 0.000988728i | ||||
\(965\) | −6835.99 | −0.228040 | ||||||||
\(966\) | 16090.1 | − | 2815.42i | 0.535913 | − | 0.0937729i | ||||
\(967\) | 18955.1 | + | 32831.3i | 0.630358 | + | 1.09181i | 0.987479 | + | 0.157754i | \(0.0504252\pi\) |
−0.357121 | + | 0.934058i | \(0.616241\pi\) | |||||||
\(968\) | −7075.60 | + | 12255.3i | −0.234936 | + | 0.406922i | ||||
\(969\) | 19398.2 | + | 7089.15i | 0.643097 | + | 0.235022i | ||||
\(970\) | −61218.9 | + | 35344.8i | −2.02641 | + | 1.16995i | ||||
\(971\) | 44964.9 | − | 25960.5i | 1.48609 | − | 0.857994i | 0.486215 | − | 0.873839i | \(-0.338377\pi\) |
0.999874 | + | 0.0158449i | \(0.00504380\pi\) | |||||||
\(972\) | 24.3120 | − | 28.5919i | 0.000802272 | − | 0.000943503i | ||||
\(973\) | 1130.87 | + | 1958.73i | 0.0372601 | + | 0.0645364i | ||||
\(974\) | 13875.0 | − | 8010.73i | 0.456451 | − | 0.263532i | ||||
\(975\) | −485.383 | − | 2773.97i | −0.0159433 | − | 0.0911159i | ||||
\(976\) | −6782.90 | + | 3916.11i | −0.222454 | + | 0.128434i | ||||
\(977\) | 35282.9 | + | 20370.6i | 1.15537 | + | 0.667055i | 0.950191 | − | 0.311668i | \(-0.100888\pi\) |
0.205183 | + | 0.978724i | \(0.434221\pi\) | |||||||
\(978\) | −23830.7 | − | 28475.9i | −0.779164 | − | 0.931043i | ||||
\(979\) | 18702.3 | − | 10797.8i | 0.610551 | − | 0.352502i | ||||
\(980\) | −15.5077 | −0.000505486 | ||||||||
\(981\) | −22945.7 | − | 4107.89i | −0.746787 | − | 0.133695i | ||||
\(982\) | −37886.2 | − | 21873.6i | −1.23116 | − | 0.710809i | ||||
\(983\) | −2184.96 | −0.0708948 | −0.0354474 | − | 0.999372i | \(-0.511286\pi\) | ||||
−0.0354474 | + | 0.999372i | \(0.511286\pi\) | |||||||
\(984\) | −7488.81 | + | 20491.9i | −0.242616 | + | 0.663879i | ||||
\(985\) | 17261.7 | + | 29898.2i | 0.558380 | + | 0.967142i | ||||
\(986\) | 16657.3 | − | 28851.3i | 0.538008 | − | 0.931857i | ||||
\(987\) | 14722.3 | − | 2576.07i | 0.474787 | − | 0.0830772i | ||||
\(988\) | −7.99420 | − | 4.61545i | −0.000257418 | − | 0.000148621i | ||||
\(989\) | 7806.98 | − | 13522.1i | 0.251009 | − | 0.434760i | ||||
\(990\) | −4817.46 | + | 26909.1i | −0.154656 | + | 0.863867i | ||||
\(991\) | − | 47234.0i | − | 1.51406i | −0.653378 | − | 0.757032i | \(-0.726649\pi\) | ||
0.653378 | − | 0.757032i | \(-0.273351\pi\) | |||||||
\(992\) | 41.6047 | + | 24.0205i | 0.00133160 | + | 0.000768801i | ||||
\(993\) | 53235.4 | + | 19455.0i | 1.70128 | + | 0.621739i | ||||
\(994\) | 15125.8 | + | 26198.6i | 0.482656 | + | 0.835984i | ||||
\(995\) | −26725.7 | + | 46290.3i | −0.851521 | + | 1.47488i | ||||
\(996\) | −8.52479 | + | 7.13416i | −0.000271203 | + | 0.000226962i | ||||
\(997\) | 30730.0 | 0.976157 | 0.488078 | − | 0.872800i | \(-0.337698\pi\) | ||||
0.488078 | + | 0.872800i | \(0.337698\pi\) | |||||||
\(998\) | −45100.7 | + | 26038.9i | −1.43050 | + | 0.825899i | ||||
\(999\) | −116.156 | + | 29586.2i | −0.00367869 | + | 0.937004i |
(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 | 201.4.f.a.38.19 | ✓ | 132 | |
3.2 | odd | 2 | inner | 201.4.f.a.38.48 | yes | 132 | |
67.30 | odd | 6 | inner | 201.4.f.a.164.48 | yes | 132 | |
201.164 | even | 6 | inner | 201.4.f.a.164.19 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.4.f.a.38.19 | ✓ | 132 | 1.1 | even | 1 | trivial | |
201.4.f.a.38.48 | yes | 132 | 3.2 | odd | 2 | inner | |
201.4.f.a.164.19 | yes | 132 | 201.164 | even | 6 | inner | |
201.4.f.a.164.48 | yes | 132 | 67.30 | odd | 6 | inner |