Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,4,Mod(4,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.m (of order \(33\), degree \(20\), 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: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 10.3 | ||
Character | \(\chi\) | \(=\) | 201.10 |
Dual form | 201.4.m.a.181.3 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{8}{33}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.14869 | − | 3.00227i | −1.11323 | − | 1.06146i | −0.997674 | − | 0.0681611i | \(-0.978287\pi\) |
−0.115555 | − | 0.993301i | \(-0.536865\pi\) | |||||||
\(3\) | −0.426945 | − | 2.96946i | −0.0821655 | − | 0.571474i | ||||
\(4\) | 0.519968 | + | 10.9155i | 0.0649960 | + | 1.36443i | ||||
\(5\) | −2.82594 | + | 6.18794i | −0.252760 | + | 0.553466i | −0.992895 | − | 0.118991i | \(-0.962034\pi\) |
0.740136 | + | 0.672458i | \(0.234761\pi\) | |||||||
\(6\) | −7.57081 | + | 10.6317i | −0.515129 | + | 0.723397i | ||||
\(7\) | −4.75860 | + | 19.6152i | −0.256940 | + | 1.05912i | 0.686382 | + | 0.727242i | \(0.259198\pi\) |
−0.943322 | + | 0.331880i | \(0.892317\pi\) | |||||||
\(8\) | 8.34160 | − | 9.62671i | 0.368650 | − | 0.425445i | ||||
\(9\) | −8.63544 | + | 2.53559i | −0.319831 | + | 0.0939109i | ||||
\(10\) | 27.4759 | − | 10.9997i | 0.868863 | − | 0.347840i | ||||
\(11\) | −7.75381 | − | 10.8887i | −0.212533 | − | 0.298461i | 0.694523 | − | 0.719470i | \(-0.255615\pi\) |
−0.907056 | + | 0.421009i | \(0.861676\pi\) | |||||||
\(12\) | 32.1911 | − | 6.20433i | 0.774398 | − | 0.149253i | ||||
\(13\) | 3.78263 | − | 10.9292i | 0.0807011 | − | 0.233170i | −0.897431 | − | 0.441155i | \(-0.854569\pi\) |
0.978132 | + | 0.207984i | \(0.0666903\pi\) | |||||||
\(14\) | 73.8735 | − | 47.4756i | 1.41025 | − | 0.906313i | ||||
\(15\) | 19.5814 | + | 5.74962i | 0.337060 | + | 0.0989696i | ||||
\(16\) | 31.8599 | − | 3.04225i | 0.497811 | − | 0.0475352i | ||||
\(17\) | 3.93644 | − | 82.6360i | 0.0561604 | − | 1.17895i | −0.778303 | − | 0.627888i | \(-0.783919\pi\) |
0.834464 | − | 0.551063i | \(-0.185778\pi\) | |||||||
\(18\) | 34.8028 | + | 17.9421i | 0.455728 | + | 0.234944i | ||||
\(19\) | 1.89473 | + | 7.81017i | 0.0228779 | + | 0.0943040i | 0.982106 | − | 0.188329i | \(-0.0603072\pi\) |
−0.959228 | + | 0.282633i | \(0.908792\pi\) | |||||||
\(20\) | −69.0138 | − | 27.6289i | −0.771597 | − | 0.308901i | ||||
\(21\) | 60.2783 | + | 5.75588i | 0.626372 | + | 0.0598112i | ||||
\(22\) | −8.27648 | + | 57.5642i | −0.0802068 | + | 0.557851i | ||||
\(23\) | 85.7402 | − | 67.4269i | 0.777307 | − | 0.611281i | −0.148658 | − | 0.988889i | \(-0.547495\pi\) |
0.925966 | + | 0.377607i | \(0.123253\pi\) | |||||||
\(24\) | −32.1476 | − | 20.6600i | −0.273421 | − | 0.175717i | ||||
\(25\) | 51.5529 | + | 59.4952i | 0.412423 | + | 0.475962i | ||||
\(26\) | −44.7227 | + | 23.0562i | −0.337340 | + | 0.173911i | ||||
\(27\) | 11.2162 | + | 24.5601i | 0.0799467 | + | 0.175059i | ||||
\(28\) | −216.584 | − | 41.7431i | −1.46180 | − | 0.281739i | ||||
\(29\) | 79.6891 | − | 138.025i | 0.510272 | − | 0.883817i | −0.489657 | − | 0.871915i | \(-0.662878\pi\) |
0.999929 | − | 0.0119019i | \(-0.00378857\pi\) | |||||||
\(30\) | −44.3938 | − | 76.8924i | −0.270172 | − | 0.467952i | ||||
\(31\) | −7.94746 | − | 22.9627i | −0.0460454 | − | 0.133039i | 0.919634 | − | 0.392776i | \(-0.128485\pi\) |
−0.965679 | + | 0.259737i | \(0.916364\pi\) | |||||||
\(32\) | −189.552 | − | 149.066i | −1.04714 | − | 0.823479i | ||||
\(33\) | −29.0232 | + | 27.6735i | −0.153100 | + | 0.145980i | ||||
\(34\) | −260.490 | + | 248.377i | −1.31393 | + | 1.25283i | ||||
\(35\) | −107.930 | − | 84.8773i | −0.521244 | − | 0.409911i | ||||
\(36\) | −32.1674 | − | 92.9415i | −0.148923 | − | 0.430285i | ||||
\(37\) | −7.51852 | − | 13.0225i | −0.0334064 | − | 0.0578616i | 0.848839 | − | 0.528652i | \(-0.177302\pi\) |
−0.882245 | + | 0.470790i | \(0.843969\pi\) | |||||||
\(38\) | 17.4823 | − | 30.2803i | 0.0746318 | − | 0.129266i | ||||
\(39\) | −34.0688 | − | 6.56623i | −0.139882 | − | 0.0269600i | ||||
\(40\) | 35.9967 | + | 78.8218i | 0.142290 | + | 0.311571i | ||||
\(41\) | 18.0959 | − | 9.32906i | 0.0689292 | − | 0.0355355i | −0.423417 | − | 0.905935i | \(-0.639170\pi\) |
0.492347 | + | 0.870399i | \(0.336139\pi\) | |||||||
\(42\) | −172.517 | − | 199.095i | −0.633808 | − | 0.731453i | ||||
\(43\) | −92.6626 | − | 59.5506i | −0.328626 | − | 0.211195i | 0.365915 | − | 0.930648i | \(-0.380756\pi\) |
−0.694541 | + | 0.719453i | \(0.744392\pi\) | |||||||
\(44\) | 114.824 | − | 90.2983i | 0.393416 | − | 0.309386i | ||||
\(45\) | 8.71311 | − | 60.6010i | 0.0288639 | − | 0.200753i | ||||
\(46\) | −472.403 | − | 45.1090i | −1.51417 | − | 0.144586i | ||||
\(47\) | 4.00144 | + | 1.60193i | 0.0124185 | + | 0.00497162i | 0.377863 | − | 0.925861i | \(-0.376659\pi\) |
−0.365445 | + | 0.930833i | \(0.619083\pi\) | |||||||
\(48\) | −22.6363 | − | 93.3080i | −0.0680680 | − | 0.280580i | ||||
\(49\) | −57.2415 | − | 29.5100i | −0.166885 | − | 0.0860351i | ||||
\(50\) | 16.2966 | − | 342.107i | 0.0460937 | − | 0.967626i | ||||
\(51\) | −247.065 | + | 23.5919i | −0.678354 | + | 0.0647750i | ||||
\(52\) | 121.264 | + | 35.6064i | 0.323391 | + | 0.0949562i | ||||
\(53\) | 32.9791 | − | 21.1944i | 0.0854722 | − | 0.0549296i | −0.497207 | − | 0.867632i | \(-0.665641\pi\) |
0.582679 | + | 0.812703i | \(0.302005\pi\) | |||||||
\(54\) | 38.4196 | − | 111.006i | 0.0968193 | − | 0.279741i | ||||
\(55\) | 89.2905 | − | 17.2093i | 0.218908 | − | 0.0421910i | ||||
\(56\) | 149.136 | + | 209.432i | 0.355877 | + | 0.499759i | ||||
\(57\) | 22.3831 | − | 8.96084i | 0.0520125 | − | 0.0208227i | ||||
\(58\) | −665.306 | + | 195.351i | −1.50619 | + | 0.442257i | ||||
\(59\) | 517.829 | − | 597.606i | 1.14264 | − | 1.31867i | 0.201951 | − | 0.979396i | \(-0.435272\pi\) |
0.940686 | − | 0.339278i | \(-0.110183\pi\) | |||||||
\(60\) | −52.5781 | + | 216.730i | −0.113130 | + | 0.466328i | ||||
\(61\) | 202.543 | − | 284.432i | 0.425131 | − | 0.597013i | −0.545344 | − | 0.838212i | \(-0.683601\pi\) |
0.970476 | + | 0.241199i | \(0.0775405\pi\) | |||||||
\(62\) | −43.9161 | + | 96.1628i | −0.0899572 | + | 0.196979i | ||||
\(63\) | −8.64361 | − | 181.452i | −0.0172856 | − | 0.362869i | ||||
\(64\) | 112.868 | + | 785.016i | 0.220446 | + | 1.53323i | ||||
\(65\) | 56.9398 | + | 54.2920i | 0.108654 | + | 0.103601i | ||||
\(66\) | 174.468 | 0.325387 | ||||||||
\(67\) | −25.6205 | + | 547.820i | −0.0467170 | + | 0.998908i | ||||
\(68\) | 904.058 | 1.61225 | ||||||||
\(69\) | −236.828 | − | 225.815i | −0.413199 | − | 0.393985i | ||||
\(70\) | 85.0144 | + | 591.288i | 0.145159 | + | 1.00961i | ||||
\(71\) | 17.0047 | + | 356.973i | 0.0284238 | + | 0.596689i | 0.967483 | + | 0.252935i | \(0.0813958\pi\) |
−0.939060 | + | 0.343755i | \(0.888301\pi\) | |||||||
\(72\) | −47.6239 | + | 104.282i | −0.0779518 | + | 0.170691i | ||||
\(73\) | 42.4714 | − | 59.6427i | 0.0680945 | − | 0.0956254i | −0.779124 | − | 0.626870i | \(-0.784336\pi\) |
0.847219 | + | 0.531244i | \(0.178275\pi\) | |||||||
\(74\) | −15.4234 | + | 63.5762i | −0.0242289 | + | 0.0998728i | ||||
\(75\) | 154.659 | − | 178.486i | 0.238113 | − | 0.274797i | ||||
\(76\) | −84.2666 | + | 24.7429i | −0.127185 | + | 0.0373448i | ||||
\(77\) | 250.481 | − | 100.278i | 0.370714 | − | 0.148412i | ||||
\(78\) | 87.5586 | + | 122.959i | 0.127103 | + | 0.178492i | ||||
\(79\) | 1358.41 | − | 261.812i | 1.93459 | − | 0.372862i | 0.934747 | − | 0.355313i | \(-0.115626\pi\) |
0.999846 | − | 0.0175492i | \(-0.00558636\pi\) | |||||||
\(80\) | −71.2089 | + | 205.745i | −0.0995174 | + | 0.287537i | ||||
\(81\) | 68.1415 | − | 43.7919i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | −84.9865 | − | 24.9543i | −0.114454 | − | 0.0336066i | ||||
\(83\) | 578.515 | − | 55.2415i | 0.765063 | − | 0.0730547i | 0.294774 | − | 0.955567i | \(-0.404756\pi\) |
0.470289 | + | 0.882512i | \(0.344150\pi\) | |||||||
\(84\) | −31.4854 | + | 660.959i | −0.0408969 | + | 0.858531i | ||||
\(85\) | 500.223 | + | 257.883i | 0.638315 | + | 0.329074i | ||||
\(86\) | 112.979 | + | 465.704i | 0.141660 | + | 0.583932i | ||||
\(87\) | −443.885 | − | 177.705i | −0.547005 | − | 0.218988i | ||||
\(88\) | −169.502 | − | 16.1854i | −0.205329 | − | 0.0196065i | ||||
\(89\) | −30.6215 | + | 212.977i | −0.0364705 | + | 0.253658i | −0.999898 | − | 0.0143128i | \(-0.995444\pi\) |
0.963427 | + | 0.267971i | \(0.0863530\pi\) | |||||||
\(90\) | −209.375 | + | 164.655i | −0.245223 | + | 0.192846i | ||||
\(91\) | 196.379 | + | 126.205i | 0.226220 | + | 0.145383i | ||||
\(92\) | 780.578 | + | 900.836i | 0.884575 | + | 1.02085i | ||||
\(93\) | −64.7938 | + | 33.4035i | −0.0722452 | + | 0.0372450i | ||||
\(94\) | −7.78985 | − | 17.0574i | −0.00854746 | − | 0.0187163i | ||||
\(95\) | −53.6833 | − | 10.3466i | −0.0579767 | − | 0.0111741i | ||||
\(96\) | −361.717 | + | 626.512i | −0.384558 | + | 0.666074i | ||||
\(97\) | −33.8167 | − | 58.5723i | −0.0353976 | − | 0.0613105i | 0.847784 | − | 0.530342i | \(-0.177936\pi\) |
−0.883181 | + | 0.469031i | \(0.844603\pi\) | |||||||
\(98\) | 91.6385 | + | 264.772i | 0.0944581 | + | 0.272919i | ||||
\(99\) | 94.5669 | + | 74.3682i | 0.0960033 | + | 0.0754978i | ||||
\(100\) | −622.613 | + | 593.660i | −0.622613 | + | 0.593660i | ||||
\(101\) | 571.749 | − | 545.161i | 0.563278 | − | 0.537085i | −0.354045 | − | 0.935229i | \(-0.615194\pi\) |
0.917323 | + | 0.398144i | \(0.130345\pi\) | |||||||
\(102\) | 848.761 | + | 667.473i | 0.823920 | + | 0.647938i | ||||
\(103\) | −374.358 | − | 1081.64i | −0.358122 | − | 1.03473i | −0.969859 | − | 0.243665i | \(-0.921650\pi\) |
0.611737 | − | 0.791061i | \(-0.290471\pi\) | |||||||
\(104\) | −73.6591 | − | 127.581i | −0.0694507 | − | 0.120292i | ||||
\(105\) | −205.960 | + | 356.733i | −0.191425 | + | 0.331558i | ||||
\(106\) | −167.472 | − | 32.2776i | −0.153456 | − | 0.0295762i | ||||
\(107\) | −40.5718 | − | 88.8398i | −0.0366563 | − | 0.0802660i | 0.890418 | − | 0.455144i | \(-0.150412\pi\) |
−0.927074 | + | 0.374877i | \(0.877685\pi\) | |||||||
\(108\) | −262.253 | + | 135.201i | −0.233660 | + | 0.120460i | ||||
\(109\) | 37.9894 | + | 43.8421i | 0.0333828 | + | 0.0385258i | 0.772195 | − | 0.635385i | \(-0.219159\pi\) |
−0.738813 | + | 0.673911i | \(0.764613\pi\) | |||||||
\(110\) | −332.815 | − | 213.887i | −0.288479 | − | 0.185394i | ||||
\(111\) | −35.4597 | + | 27.8858i | −0.0303215 | + | 0.0238451i | ||||
\(112\) | −91.9341 | + | 639.416i | −0.0775621 | + | 0.539456i | ||||
\(113\) | −920.591 | − | 87.9058i | −0.766389 | − | 0.0731813i | −0.295463 | − | 0.955354i | \(-0.595474\pi\) |
−0.470926 | + | 0.882173i | \(0.656080\pi\) | |||||||
\(114\) | −97.3802 | − | 38.9851i | −0.0800043 | − | 0.0320289i | ||||
\(115\) | 174.937 | + | 721.100i | 0.141852 | + | 0.584721i | ||||
\(116\) | 1548.05 | + | 798.075i | 1.23908 | + | 0.638788i | ||||
\(117\) | −4.95268 | + | 103.970i | −0.00391347 | + | 0.0821538i | ||||
\(118\) | −3424.66 | + | 327.015i | −2.67174 | + | 0.255120i | ||||
\(119\) | 1602.19 | + | 470.445i | 1.23422 | + | 0.362400i | ||||
\(120\) | 218.690 | − | 140.544i | 0.166363 | − | 0.106915i | ||||
\(121\) | 376.885 | − | 1088.94i | 0.283159 | − | 0.818135i | ||||
\(122\) | −1491.69 | + | 287.499i | −1.10698 | + | 0.213352i | ||||
\(123\) | −35.4282 | − | 49.7520i | −0.0259712 | − | 0.0364714i | ||||
\(124\) | 246.516 | − | 98.6902i | 0.178531 | − | 0.0714729i | ||||
\(125\) | −1329.73 | + | 390.444i | −0.951477 | + | 0.279379i | ||||
\(126\) | −517.551 | + | 597.285i | −0.365929 | + | 0.422305i | ||||
\(127\) | 412.933 | − | 1702.13i | 0.288519 | − | 1.18929i | −0.624385 | − | 0.781116i | \(-0.714651\pi\) |
0.912904 | − | 0.408174i | \(-0.133834\pi\) | |||||||
\(128\) | 882.421 | − | 1239.19i | 0.609342 | − | 0.855700i | ||||
\(129\) | −137.272 | + | 300.583i | −0.0936907 | + | 0.205154i | ||||
\(130\) | −16.2866 | − | 341.897i | −0.0109879 | − | 0.230664i | ||||
\(131\) | 160.787 | + | 1118.30i | 0.107237 | + | 0.745847i | 0.970501 | + | 0.241096i | \(0.0775068\pi\) |
−0.863265 | + | 0.504752i | \(0.831584\pi\) | |||||||
\(132\) | −317.161 | − | 302.412i | −0.209131 | − | 0.199406i | ||||
\(133\) | −162.214 | −0.105758 | ||||||||
\(134\) | 1725.37 | − | 1647.99i | 1.11231 | − | 1.06243i | ||||
\(135\) | −183.673 | −0.117096 | ||||||||
\(136\) | −762.677 | − | 727.211i | −0.480875 | − | 0.458513i | ||||
\(137\) | −177.655 | − | 1235.62i | −0.110789 | − | 0.770555i | −0.967155 | − | 0.254186i | \(-0.918192\pi\) |
0.856366 | − | 0.516369i | \(-0.172717\pi\) | |||||||
\(138\) | 67.7402 | + | 1422.04i | 0.0417857 | + | 0.877190i | ||||
\(139\) | 568.039 | − | 1243.83i | 0.346622 | − | 0.758997i | −0.653376 | − | 0.757034i | \(-0.726648\pi\) |
0.999998 | − | 0.00196301i | \(-0.000624845\pi\) | |||||||
\(140\) | 870.356 | − | 1222.24i | 0.525418 | − | 0.737846i | ||||
\(141\) | 3.04850 | − | 12.5661i | 0.00182078 | − | 0.00750535i | ||||
\(142\) | 1018.19 | − | 1175.05i | 0.601721 | − | 0.694423i | ||||
\(143\) | −148.335 | + | 43.5550i | −0.0867438 | + | 0.0254703i | ||||
\(144\) | −267.410 | + | 107.055i | −0.154751 | + | 0.0619531i | ||||
\(145\) | 628.897 | + | 883.163i | 0.360187 | + | 0.505812i | ||||
\(146\) | −312.793 | + | 60.2858i | −0.177308 | + | 0.0341732i | ||||
\(147\) | −63.1901 | + | 182.576i | −0.0354546 | + | 0.102439i | ||||
\(148\) | 138.237 | − | 88.8394i | 0.0767770 | − | 0.0493416i | ||||
\(149\) | −1681.38 | − | 493.699i | −0.924459 | − | 0.271446i | −0.215344 | − | 0.976538i | \(-0.569087\pi\) |
−0.709115 | + | 0.705093i | \(0.750905\pi\) | |||||||
\(150\) | −1022.83 | + | 97.6688i | −0.556760 | + | 0.0531641i | ||||
\(151\) | −57.4041 | + | 1205.06i | −0.0309369 | + | 0.649446i | 0.929143 | + | 0.369720i | \(0.120547\pi\) |
−0.960080 | + | 0.279726i | \(0.909756\pi\) | |||||||
\(152\) | 90.9913 | + | 46.9093i | 0.0485551 | + | 0.0250319i | ||||
\(153\) | 175.538 | + | 723.579i | 0.0927545 | + | 0.382339i | ||||
\(154\) | −1089.75 | − | 436.269i | −0.570224 | − | 0.228283i | ||||
\(155\) | 164.551 | + | 15.7127i | 0.0852713 | + | 0.00814242i | ||||
\(156\) | 53.9588 | − | 375.292i | 0.0276934 | − | 0.192612i | ||||
\(157\) | 2271.97 | − | 1786.70i | 1.15492 | − | 0.908241i | 0.158063 | − | 0.987429i | \(-0.449475\pi\) |
0.996860 | + | 0.0791878i | \(0.0252327\pi\) | |||||||
\(158\) | −5063.23 | − | 3253.94i | −2.54943 | − | 1.63842i | ||||
\(159\) | −77.0162 | − | 88.8814i | −0.0384137 | − | 0.0443318i | ||||
\(160\) | 1458.07 | − | 751.689i | 0.720442 | − | 0.371414i | ||||
\(161\) | 914.588 | + | 2002.67i | 0.447700 | + | 0.980326i | ||||
\(162\) | −346.032 | − | 66.6921i | −0.167820 | − | 0.0323446i | ||||
\(163\) | 1000.80 | − | 1733.44i | 0.480913 | − | 0.832966i | −0.518847 | − | 0.854867i | \(-0.673638\pi\) |
0.999760 | + | 0.0219009i | \(0.00697183\pi\) | |||||||
\(164\) | 111.240 | + | 192.674i | 0.0529660 | + | 0.0917397i | ||||
\(165\) | −89.2246 | − | 257.797i | −0.0420977 | − | 0.121633i | ||||
\(166\) | −1987.41 | − | 1562.92i | −0.929236 | − | 0.730759i | ||||
\(167\) | 283.774 | − | 270.578i | 0.131492 | − | 0.125377i | −0.621480 | − | 0.783430i | \(-0.713468\pi\) |
0.752972 | + | 0.658053i | \(0.228620\pi\) | |||||||
\(168\) | 558.227 | − | 532.269i | 0.256358 | − | 0.244437i | ||||
\(169\) | 1621.82 | + | 1275.41i | 0.738197 | + | 0.580525i | ||||
\(170\) | −800.812 | − | 2313.79i | −0.361291 | − | 1.04388i | ||||
\(171\) | −36.1652 | − | 62.6400i | −0.0161732 | − | 0.0280129i | ||||
\(172\) | 601.842 | − | 1042.42i | 0.266802 | − | 0.462115i | ||||
\(173\) | −3336.93 | − | 643.140i | −1.46648 | − | 0.282642i | −0.607368 | − | 0.794421i | \(-0.707774\pi\) |
−0.859117 | + | 0.511779i | \(0.828987\pi\) | |||||||
\(174\) | 864.137 | + | 1892.20i | 0.376495 | + | 0.824408i | ||||
\(175\) | −1412.33 | + | 728.107i | −0.610069 | + | 0.314513i | ||||
\(176\) | −280.162 | − | 323.324i | −0.119989 | − | 0.138474i | ||||
\(177\) | −1995.65 | − | 1282.53i | −0.847472 | − | 0.544637i | ||||
\(178\) | 735.833 | − | 578.665i | 0.309848 | − | 0.243667i | ||||
\(179\) | −607.177 | + | 4223.01i | −0.253534 | + | 1.76337i | 0.323100 | + | 0.946365i | \(0.395275\pi\) |
−0.576634 | + | 0.817002i | \(0.695634\pi\) | |||||||
\(180\) | 666.020 | + | 63.5972i | 0.275790 | + | 0.0263347i | ||||
\(181\) | −706.353 | − | 282.781i | −0.290071 | − | 0.116127i | 0.222064 | − | 0.975032i | \(-0.428721\pi\) |
−0.512134 | + | 0.858905i | \(0.671145\pi\) | |||||||
\(182\) | −239.434 | − | 986.961i | −0.0975167 | − | 0.401969i | ||||
\(183\) | −931.086 | − | 480.008i | −0.376109 | − | 0.193897i | ||||
\(184\) | 66.1112 | − | 1387.84i | 0.0264879 | − | 0.556050i | ||||
\(185\) | 101.829 | − | 9.72350i | 0.0404682 | − | 0.00386425i | ||||
\(186\) | 304.302 | + | 89.3510i | 0.119960 | + | 0.0352233i | ||||
\(187\) | −930.321 | + | 597.881i | −0.363807 | + | 0.233804i | ||||
\(188\) | −15.4053 | + | 44.5106i | −0.00597630 | + | 0.0172674i | ||||
\(189\) | −535.124 | + | 103.137i | −0.205950 | + | 0.0396936i | ||||
\(190\) | 137.969 | + | 193.750i | 0.0526805 | + | 0.0739794i | ||||
\(191\) | −539.176 | + | 215.854i | −0.204259 | + | 0.0817729i | −0.471536 | − | 0.881847i | \(-0.656300\pi\) |
0.267277 | + | 0.963620i | \(0.413876\pi\) | |||||||
\(192\) | 2282.89 | − | 670.316i | 0.858090 | − | 0.251958i | ||||
\(193\) | −2185.75 | + | 2522.49i | −0.815200 | + | 0.940791i | −0.999111 | − | 0.0421518i | \(-0.986579\pi\) |
0.183911 | + | 0.982943i | \(0.441124\pi\) | |||||||
\(194\) | −69.3714 | + | 285.953i | −0.0256731 | + | 0.105826i | ||||
\(195\) | 136.908 | − | 192.260i | 0.0502779 | − | 0.0706054i | ||||
\(196\) | 292.352 | − | 640.162i | 0.106542 | − | 0.233295i | ||||
\(197\) | 2.14225 | + | 44.9714i | 0.000774767 | + | 0.0162644i | 0.999222 | − | 0.0394482i | \(-0.0125600\pi\) |
−0.998447 | + | 0.0557125i | \(0.982257\pi\) | |||||||
\(198\) | −74.4883 | − | 518.077i | −0.0267356 | − | 0.185950i | ||||
\(199\) | 1563.11 | + | 1490.43i | 0.556815 | + | 0.530922i | 0.915384 | − | 0.402581i | \(-0.131887\pi\) |
−0.358569 | + | 0.933503i | \(0.616735\pi\) | |||||||
\(200\) | 1002.78 | 0.354535 | ||||||||
\(201\) | 1637.67 | − | 157.810i | 0.574688 | − | 0.0553783i | ||||
\(202\) | −3436.98 | −1.19715 | ||||||||
\(203\) | 2328.19 | + | 2219.92i | 0.804960 | + | 0.767528i | ||||
\(204\) | −385.983 | − | 2684.57i | −0.132472 | − | 0.921360i | ||||
\(205\) | 6.58992 | + | 138.339i | 0.00224517 | + | 0.0471319i | ||||
\(206\) | −2068.63 | + | 4529.66i | −0.699651 | + | 1.53202i | ||||
\(207\) | −569.437 | + | 799.663i | −0.191201 | + | 0.268504i | ||||
\(208\) | 87.2650 | − | 359.711i | 0.0290901 | − | 0.119911i | ||||
\(209\) | 70.3513 | − | 81.1897i | 0.0232837 | − | 0.0268709i | ||||
\(210\) | 1719.51 | − | 504.894i | 0.565036 | − | 0.165910i | ||||
\(211\) | 2483.45 | − | 994.223i | 0.810274 | − | 0.324385i | 0.0707319 | − | 0.997495i | \(-0.477467\pi\) |
0.739542 | + | 0.673111i | \(0.235042\pi\) | |||||||
\(212\) | 248.495 | + | 348.962i | 0.0805032 | + | 0.113051i | ||||
\(213\) | 1052.76 | − | 202.903i | 0.338657 | − | 0.0652707i | ||||
\(214\) | −138.973 | + | 401.536i | −0.0443925 | + | 0.128264i | ||||
\(215\) | 630.355 | − | 405.104i | 0.199953 | − | 0.128502i | ||||
\(216\) | 329.994 | + | 96.8949i | 0.103950 | + | 0.0305225i | ||||
\(217\) | 488.237 | − | 46.6209i | 0.152736 | − | 0.0145845i | ||||
\(218\) | 12.0090 | − | 252.100i | 0.00373097 | − | 0.0783227i | ||||
\(219\) | −195.240 | − | 100.653i | −0.0602424 | − | 0.0310571i | ||||
\(220\) | 234.276 | + | 965.700i | 0.0717950 | + | 0.295943i | ||||
\(221\) | −888.255 | − | 355.604i | −0.270364 | − | 0.108238i | ||||
\(222\) | 195.372 | + | 18.6558i | 0.0590655 | + | 0.00564007i | ||||
\(223\) | −127.594 | + | 887.438i | −0.0383155 | + | 0.266490i | −0.999970 | − | 0.00777450i | \(-0.997525\pi\) |
0.961654 | + | 0.274264i | \(0.0884344\pi\) | |||||||
\(224\) | 3825.96 | − | 3008.77i | 1.14122 | − | 0.897462i | ||||
\(225\) | −596.037 | − | 383.050i | −0.176604 | − | 0.113496i | ||||
\(226\) | 2634.74 | + | 3040.65i | 0.775488 | + | 0.894960i | ||||
\(227\) | 2901.68 | − | 1495.92i | 0.848418 | − | 0.437390i | 0.0215380 | − | 0.999768i | \(-0.493144\pi\) |
0.826880 | + | 0.562378i | \(0.190113\pi\) | |||||||
\(228\) | 109.450 | + | 239.663i | 0.0317918 | + | 0.0696142i | ||||
\(229\) | −2185.02 | − | 421.128i | −0.630525 | − | 0.121524i | −0.136031 | − | 0.990705i | \(-0.543435\pi\) |
−0.494494 | + | 0.869181i | \(0.664647\pi\) | |||||||
\(230\) | 1614.11 | − | 2795.73i | 0.462746 | − | 0.801499i | ||||
\(231\) | −404.713 | − | 700.983i | −0.115273 | − | 0.199659i | ||||
\(232\) | −663.998 | − | 1918.50i | −0.187903 | − | 0.542911i | ||||
\(233\) | 1994.50 | + | 1568.49i | 0.560789 | + | 0.441009i | 0.857887 | − | 0.513838i | \(-0.171777\pi\) |
−0.297099 | + | 0.954847i | \(0.596019\pi\) | |||||||
\(234\) | 327.739 | − | 312.499i | 0.0915598 | − | 0.0873021i | ||||
\(235\) | −21.2205 | + | 20.2337i | −0.00589052 | + | 0.00561660i | ||||
\(236\) | 6792.41 | + | 5341.61i | 1.87351 | + | 1.47334i | ||||
\(237\) | −1357.41 | − | 3921.97i | −0.372038 | − | 1.07493i | ||||
\(238\) | −3632.39 | − | 6291.49i | −0.989299 | − | 1.71352i | ||||
\(239\) | 1919.84 | − | 3325.25i | 0.519598 | − | 0.899970i | −0.480143 | − | 0.877190i | \(-0.659415\pi\) |
0.999741 | − | 0.0227795i | \(-0.00725158\pi\) | |||||||
\(240\) | 641.353 | + | 123.611i | 0.172497 | + | 0.0332460i | ||||
\(241\) | 2440.05 | + | 5342.96i | 0.652189 | + | 1.42809i | 0.889626 | + | 0.456691i | \(0.150965\pi\) |
−0.237437 | + | 0.971403i | \(0.576307\pi\) | |||||||
\(242\) | −4455.98 | + | 2297.22i | −1.18364 | + | 0.610209i | ||||
\(243\) | −159.131 | − | 183.647i | −0.0420093 | − | 0.0484814i | ||||
\(244\) | 3210.03 | + | 2062.96i | 0.842218 | + | 0.541260i | ||||
\(245\) | 344.367 | − | 270.813i | 0.0897993 | − | 0.0706189i | ||||
\(246\) | −37.8164 | + | 263.019i | −0.00980115 | + | 0.0681685i | ||||
\(247\) | 92.5260 | + | 8.83516i | 0.0238352 | + | 0.00227598i | ||||
\(248\) | −287.350 | − | 115.037i | −0.0735755 | − | 0.0294552i | ||||
\(249\) | −411.031 | − | 1694.29i | −0.104611 | − | 0.431211i | ||||
\(250\) | 5359.12 | + | 2762.82i | 1.35576 | + | 0.698944i | ||||
\(251\) | −371.220 | + | 7792.86i | −0.0933514 | + | 1.95969i | 0.147343 | + | 0.989085i | \(0.452928\pi\) |
−0.240695 | + | 0.970601i | \(0.577375\pi\) | |||||||
\(252\) | 1976.14 | − | 188.698i | 0.493988 | − | 0.0471701i | ||||
\(253\) | −1399.00 | − | 410.785i | −0.347647 | − | 0.102078i | ||||
\(254\) | −6410.46 | + | 4119.75i | −1.58357 | + | 1.01770i | ||||
\(255\) | 552.206 | − | 1595.49i | 0.135610 | − | 0.391819i | ||||
\(256\) | −268.790 | + | 51.8051i | −0.0656227 | + | 0.0126477i | ||||
\(257\) | −1809.19 | − | 2540.65i | −0.439121 | − | 0.616659i | 0.534407 | − | 0.845227i | \(-0.320535\pi\) |
−0.973528 | + | 0.228568i | \(0.926596\pi\) | |||||||
\(258\) | 1334.66 | − | 534.316i | 0.322062 | − | 0.128934i | ||||
\(259\) | 291.216 | − | 85.5086i | 0.0698659 | − | 0.0205145i | ||||
\(260\) | −563.016 | + | 649.755i | −0.134295 | + | 0.154985i | ||||
\(261\) | −338.173 | + | 1393.97i | −0.0802008 | + | 0.330592i | ||||
\(262\) | 2851.16 | − | 4003.89i | 0.672310 | − | 0.944127i | ||||
\(263\) | −741.502 | + | 1623.66i | −0.173852 | + | 0.380682i | −0.976420 | − | 0.215878i | \(-0.930739\pi\) |
0.802569 | + | 0.596560i | \(0.203466\pi\) | |||||||
\(264\) | 24.3057 | + | 510.239i | 0.00566633 | + | 0.118951i | ||||
\(265\) | 37.9527 | + | 263.967i | 0.00879779 | + | 0.0611900i | ||||
\(266\) | 510.763 | + | 487.011i | 0.117733 | + | 0.112258i | ||||
\(267\) | 645.502 | 0.147955 | ||||||||
\(268\) | −5993.04 | + | 5.18924i | −1.36598 | + | 0.00118277i | ||||
\(269\) | 143.717 | 0.0325746 | 0.0162873 | − | 0.999867i | \(-0.494815\pi\) | ||||
0.0162873 | + | 0.999867i | \(0.494815\pi\) | |||||||
\(270\) | 578.328 | + | 551.434i | 0.130355 | + | 0.124293i | ||||
\(271\) | 543.263 | + | 3778.47i | 0.121774 | + | 0.846959i | 0.955544 | + | 0.294847i | \(0.0952688\pi\) |
−0.833770 | + | 0.552112i | \(0.813822\pi\) | |||||||
\(272\) | −125.985 | − | 2644.75i | −0.0280844 | − | 0.589565i | ||||
\(273\) | 290.918 | − | 637.021i | 0.0644951 | − | 0.141225i | ||||
\(274\) | −3150.28 | + | 4423.95i | −0.694581 | + | 0.975403i | ||||
\(275\) | 248.094 | − | 1022.66i | 0.0544024 | − | 0.224250i | ||||
\(276\) | 2341.74 | − | 2702.51i | 0.510710 | − | 0.589391i | ||||
\(277\) | 2.58181 | − | 0.758088i | 0.000560022 | − | 0.000164437i | −0.281453 | − | 0.959575i | \(-0.590816\pi\) |
0.282013 | + | 0.959411i | \(0.408998\pi\) | |||||||
\(278\) | −5522.90 | + | 2211.04i | −1.19152 | + | 0.477011i | ||||
\(279\) | 126.854 | + | 178.141i | 0.0272206 | + | 0.0382260i | ||||
\(280\) | −1717.40 | + | 331.002i | −0.366551 | + | 0.0706469i | ||||
\(281\) | −619.498 | + | 1789.92i | −0.131516 | + | 0.379992i | −0.991462 | − | 0.130393i | \(-0.958376\pi\) |
0.859946 | + | 0.510385i | \(0.170497\pi\) | |||||||
\(282\) | −47.3255 | + | 30.4142i | −0.00999358 | + | 0.00642249i | ||||
\(283\) | 173.161 | + | 50.8445i | 0.0363722 | + | 0.0106798i | 0.299868 | − | 0.953981i | \(-0.403057\pi\) |
−0.263496 | + | 0.964661i | \(0.584876\pi\) | |||||||
\(284\) | −3887.69 | + | 371.230i | −0.812296 | + | 0.0775649i | ||||
\(285\) | −7.80409 | + | 163.828i | −0.00162202 | + | 0.0340503i | ||||
\(286\) | 597.823 | + | 308.199i | 0.123602 | + | 0.0637210i | ||||
\(287\) | 96.8806 | + | 399.347i | 0.0199257 | + | 0.0821349i | ||||
\(288\) | 2014.84 | + | 806.619i | 0.412241 | + | 0.165036i | ||||
\(289\) | −1922.46 | − | 183.572i | −0.391300 | − | 0.0373646i | ||||
\(290\) | 671.290 | − | 4668.92i | 0.135929 | − | 0.945409i | ||||
\(291\) | −159.490 | + | 125.425i | −0.0321289 | + | 0.0252664i | ||||
\(292\) | 673.113 | + | 432.583i | 0.134900 | + | 0.0866953i | ||||
\(293\) | −5149.39 | − | 5942.71i | −1.02673 | − | 1.18490i | −0.982573 | − | 0.185879i | \(-0.940487\pi\) |
−0.0441526 | − | 0.999025i | \(-0.514059\pi\) | |||||||
\(294\) | 747.107 | − | 385.160i | 0.148205 | − | 0.0764048i | ||||
\(295\) | 2234.60 | + | 4893.09i | 0.441029 | + | 0.965719i | ||||
\(296\) | −188.080 | − | 36.2494i | −0.0369322 | − | 0.00711809i | ||||
\(297\) | 180.459 | − | 312.564i | 0.0352569 | − | 0.0610667i | ||||
\(298\) | 3811.94 | + | 6602.47i | 0.741006 | + | 1.28346i | ||||
\(299\) | −412.598 | − | 1192.12i | −0.0798032 | − | 0.230576i | ||||
\(300\) | 2028.67 | + | 1595.37i | 0.390418 | + | 0.307028i | ||||
\(301\) | 1609.04 | − | 1534.22i | 0.308118 | − | 0.293790i | ||||
\(302\) | 3798.66 | − | 3622.01i | 0.723802 | − | 0.690144i | ||||
\(303\) | −1862.94 | − | 1465.03i | −0.353212 | − | 0.277769i | ||||
\(304\) | 84.1264 | + | 243.067i | 0.0158716 | + | 0.0458581i | ||||
\(305\) | 1187.68 | + | 2057.11i | 0.222971 | + | 0.386197i | ||||
\(306\) | 1619.66 | − | 2805.34i | 0.302582 | − | 0.524087i | ||||
\(307\) | −5823.94 | − | 1122.47i | −1.08270 | − | 0.208674i | −0.383460 | − | 0.923558i | \(-0.625268\pi\) |
−0.699243 | + | 0.714884i | \(0.746480\pi\) | |||||||
\(308\) | 1224.82 | + | 2681.98i | 0.226593 | + | 0.496169i | ||||
\(309\) | −3052.05 | + | 1573.44i | −0.561893 | + | 0.289676i | ||||
\(310\) | −470.946 | − | 543.500i | −0.0862836 | − | 0.0995766i | ||||
\(311\) | 2840.84 | + | 1825.70i | 0.517972 | + | 0.332881i | 0.773369 | − | 0.633956i | \(-0.218570\pi\) |
−0.255397 | + | 0.966836i | \(0.582206\pi\) | |||||||
\(312\) | −347.400 | + | 273.198i | −0.0630373 | + | 0.0495731i | ||||
\(313\) | −56.8750 | + | 395.574i | −0.0102708 | + | 0.0714351i | −0.994312 | − | 0.106505i | \(-0.966034\pi\) |
0.984041 | + | 0.177940i | \(0.0569432\pi\) | |||||||
\(314\) | −12517.9 | − | 1195.31i | −2.24976 | − | 0.214826i | ||||
\(315\) | 1147.24 | + | 459.285i | 0.205205 | + | 0.0821517i | ||||
\(316\) | 3564.13 | + | 14691.5i | 0.634487 | + | 2.61539i | ||||
\(317\) | −8819.96 | − | 4547.01i | −1.56271 | − | 0.805632i | −0.562926 | − | 0.826507i | \(-0.690325\pi\) |
−0.999782 | + | 0.0208750i | \(0.993355\pi\) | |||||||
\(318\) | −24.3459 | + | 511.083i | −0.00429324 | + | 0.0901261i | ||||
\(319\) | −2120.81 | + | 202.513i | −0.372234 | + | 0.0355441i | ||||
\(320\) | −5176.59 | − | 1519.98i | −0.904313 | − | 0.265530i | ||||
\(321\) | −246.485 | + | 158.406i | −0.0428581 | + | 0.0275432i | ||||
\(322\) | 3132.80 | − | 9051.62i | 0.542186 | − | 1.56654i | ||||
\(323\) | 652.860 | − | 125.828i | 0.112465 | − | 0.0216758i | ||||
\(324\) | 513.441 | + | 721.027i | 0.0880386 | + | 0.123633i | ||||
\(325\) | 845.241 | − | 338.383i | 0.144263 | − | 0.0577542i | ||||
\(326\) | −8355.47 | + | 2453.39i | −1.41953 | + | 0.416811i | ||||
\(327\) | 113.968 | − | 131.526i | 0.0192736 | − | 0.0222429i | ||||
\(328\) | 61.1401 | − | 252.023i | 0.0102924 | − | 0.0424257i | ||||
\(329\) | −50.4635 | + | 70.8661i | −0.00845636 | + | 0.0118753i | ||||
\(330\) | −493.037 | + | 1079.60i | −0.0822448 | + | 0.180091i | ||||
\(331\) | −227.226 | − | 4770.05i | −0.0377325 | − | 0.792102i | −0.935861 | − | 0.352369i | \(-0.885376\pi\) |
0.898129 | − | 0.439733i | \(-0.144927\pi\) | |||||||
\(332\) | 903.796 | + | 6286.04i | 0.149404 | + | 1.03913i | ||||
\(333\) | 97.9453 | + | 93.3907i | 0.0161182 | + | 0.0153687i | ||||
\(334\) | −1705.87 | −0.279464 | ||||||||
\(335\) | −3317.48 | − | 1706.64i | −0.541054 | − | 0.278340i | ||||
\(336\) | 1937.97 | 0.314658 | ||||||||
\(337\) | −5110.24 | − | 4872.60i | −0.826031 | − | 0.787619i | 0.153662 | − | 0.988124i | \(-0.450893\pi\) |
−0.979693 | + | 0.200505i | \(0.935742\pi\) | |||||||
\(338\) | −1277.47 | − | 8885.02i | −0.205578 | − | 1.42983i | ||||
\(339\) | 132.008 | + | 2771.19i | 0.0211496 | + | 0.443984i | ||||
\(340\) | −2554.81 | + | 5594.26i | −0.407512 | + | 0.892327i | ||||
\(341\) | −188.411 | + | 264.586i | −0.0299209 | + | 0.0420180i | ||||
\(342\) | −74.1891 | + | 305.811i | −0.0117301 | + | 0.0483520i | ||||
\(343\) | −3682.48 | + | 4249.80i | −0.579694 | + | 0.669003i | ||||
\(344\) | −1346.23 | + | 395.289i | −0.211000 | + | 0.0619551i | ||||
\(345\) | 2066.59 | − | 827.339i | 0.322497 | − | 0.129108i | ||||
\(346\) | 8576.06 | + | 12043.4i | 1.33252 | + | 1.87126i | ||||
\(347\) | 9780.88 | − | 1885.11i | 1.51316 | − | 0.291637i | 0.635943 | − | 0.771736i | \(-0.280611\pi\) |
0.877214 | + | 0.480099i | \(0.159399\pi\) | |||||||
\(348\) | 1708.92 | − | 4937.61i | 0.263241 | − | 0.760586i | ||||
\(349\) | 921.762 | − | 592.380i | 0.141378 | − | 0.0908579i | −0.468040 | − | 0.883707i | \(-0.655040\pi\) |
0.609418 | + | 0.792849i | \(0.291403\pi\) | |||||||
\(350\) | 6632.96 | + | 1947.61i | 1.01299 | + | 0.297441i | ||||
\(351\) | 310.849 | − | 29.6824i | 0.0472703 | − | 0.00451377i | ||||
\(352\) | −153.378 | + | 3219.81i | −0.0232247 | + | 0.487546i | ||||
\(353\) | 4008.91 | + | 2066.74i | 0.604456 | + | 0.311619i | 0.733151 | − | 0.680065i | \(-0.238049\pi\) |
−0.128695 | + | 0.991684i | \(0.541079\pi\) | |||||||
\(354\) | 2433.20 | + | 10029.8i | 0.365319 | + | 1.50587i | ||||
\(355\) | −2256.99 | − | 903.561i | −0.337432 | − | 0.135087i | ||||
\(356\) | −2340.67 | − | 223.507i | −0.348470 | − | 0.0332749i | ||||
\(357\) | 712.925 | − | 4958.50i | 0.105692 | − | 0.735103i | ||||
\(358\) | 14590.4 | − | 11474.0i | 2.15399 | − | 1.69392i | ||||
\(359\) | 474.056 | + | 304.657i | 0.0696928 | + | 0.0447889i | 0.575023 | − | 0.818137i | \(-0.304993\pi\) |
−0.505330 | + | 0.862926i | \(0.668629\pi\) | |||||||
\(360\) | −510.707 | − | 589.388i | −0.0747685 | − | 0.0862874i | ||||
\(361\) | 6039.11 | − | 3113.38i | 0.880466 | − | 0.453912i | ||||
\(362\) | 1375.10 | + | 3011.05i | 0.199651 | + | 0.437175i | ||||
\(363\) | −3394.47 | − | 654.231i | −0.490809 | − | 0.0945956i | ||||
\(364\) | −1275.47 | + | 2209.19i | −0.183662 | + | 0.318112i | ||||
\(365\) | 249.044 | + | 431.357i | 0.0357139 | + | 0.0618583i | ||||
\(366\) | 1490.59 | + | 4306.77i | 0.212880 | + | 0.615077i | ||||
\(367\) | −2750.24 | − | 2162.81i | −0.391176 | − | 0.307624i | 0.403129 | − | 0.915143i | \(-0.367922\pi\) |
−0.794305 | + | 0.607519i | \(0.792165\pi\) | |||||||
\(368\) | 2526.55 | − | 2409.06i | 0.357895 | − | 0.341252i | ||||
\(369\) | −132.611 | + | 126.444i | −0.0187085 | + | 0.0178385i | ||||
\(370\) | −349.821 | − | 275.102i | −0.0491522 | − | 0.0386537i | ||||
\(371\) | 258.798 | + | 747.747i | 0.0362159 | + | 0.104639i | ||||
\(372\) | −398.306 | − | 689.886i | −0.0555140 | − | 0.0961530i | ||||
\(373\) | 3843.96 | − | 6657.93i | 0.533600 | − | 0.924222i | −0.465630 | − | 0.884979i | \(-0.654172\pi\) |
0.999230 | − | 0.0392422i | \(-0.0124944\pi\) | |||||||
\(374\) | 4724.29 | + | 910.532i | 0.653174 | + | 0.125889i | ||||
\(375\) | 1727.13 | + | 3781.89i | 0.237836 | + | 0.520789i | ||||
\(376\) | 48.7998 | − | 25.1580i | 0.00669323 | − | 0.00345060i | ||||
\(377\) | −1207.07 | − | 1393.04i | −0.164900 | − | 0.190305i | ||||
\(378\) | 1994.58 | + | 1281.84i | 0.271403 | + | 0.174420i | ||||
\(379\) | −1521.21 | + | 1196.29i | −0.206172 | + | 0.162135i | −0.715906 | − | 0.698197i | \(-0.753986\pi\) |
0.509734 | + | 0.860332i | \(0.329744\pi\) | |||||||
\(380\) | 85.0245 | − | 591.359i | 0.0114781 | − | 0.0798317i | ||||
\(381\) | −5230.72 | − | 499.473i | −0.703354 | − | 0.0671622i | ||||
\(382\) | 2345.75 | + | 939.096i | 0.314186 | + | 0.125781i | ||||
\(383\) | 1924.78 | + | 7934.07i | 0.256793 | + | 1.05852i | 0.943445 | + | 0.331530i | \(0.107565\pi\) |
−0.686651 | + | 0.726987i | \(0.740920\pi\) | |||||||
\(384\) | −4056.47 | − | 2091.25i | −0.539077 | − | 0.277914i | ||||
\(385\) | −87.3329 | + | 1833.34i | −0.0115608 | + | 0.242690i | ||||
\(386\) | 14455.4 | − | 1380.33i | 1.90612 | − | 0.182012i | ||||
\(387\) | 951.178 | + | 279.291i | 0.124938 | + | 0.0366852i | ||||
\(388\) | 621.761 | − | 399.581i | 0.0813534 | − | 0.0522827i | ||||
\(389\) | 1823.66 | − | 5269.11i | 0.237694 | − | 0.686772i | −0.761558 | − | 0.648097i | \(-0.775565\pi\) |
0.999252 | − | 0.0386751i | \(-0.0123137\pi\) | |||||||
\(390\) | −1008.30 | + | 194.333i | −0.130916 | + | 0.0252319i | ||||
\(391\) | −5234.37 | − | 7350.65i | −0.677017 | − | 0.950737i | ||||
\(392\) | −761.570 | + | 304.887i | −0.0981252 | + | 0.0392834i | ||||
\(393\) | 3252.09 | − | 954.901i | 0.417421 | − | 0.122566i | ||||
\(394\) | 128.271 | − | 148.032i | 0.0164015 | − | 0.0189283i | ||||
\(395\) | −2218.70 | + | 9145.62i | −0.282620 | + | 1.16498i | ||||
\(396\) | −762.593 | + | 1070.91i | −0.0967720 | + | 0.135897i | ||||
\(397\) | 6389.88 | − | 13991.9i | 0.807806 | − | 1.76885i | 0.191244 | − | 0.981543i | \(-0.438748\pi\) |
0.616563 | − | 0.787306i | \(-0.288525\pi\) | |||||||
\(398\) | −447.099 | − | 9385.77i | −0.0563092 | − | 1.18208i | ||||
\(399\) | 69.2565 | + | 481.690i | 0.00868963 | + | 0.0604377i | ||||
\(400\) | 1823.47 | + | 1738.67i | 0.227934 | + | 0.217334i | ||||
\(401\) | 162.301 | 0.0202118 | 0.0101059 | − | 0.999949i | \(-0.496783\pi\) | ||||
0.0101059 | + | 0.999949i | \(0.496783\pi\) | |||||||
\(402\) | −5630.30 | − | 4419.83i | −0.698542 | − | 0.548361i | ||||
\(403\) | −281.026 | −0.0347368 | ||||||||
\(404\) | 6247.99 | + | 5957.44i | 0.769428 | + | 0.733648i | ||||
\(405\) | 78.4180 | + | 545.409i | 0.00962129 | + | 0.0669175i | ||||
\(406\) | −665.935 | − | 13979.7i | −0.0814035 | − | 1.70887i | ||||
\(407\) | −83.5005 | + | 182.841i | −0.0101694 | + | 0.0222680i | ||||
\(408\) | −1833.81 | + | 2575.22i | −0.222517 | + | 0.312481i | ||||
\(409\) | 2344.51 | − | 9664.21i | 0.283444 | − | 1.16837i | −0.634901 | − | 0.772593i | \(-0.718959\pi\) |
0.918345 | − | 0.395780i | \(-0.129526\pi\) | |||||||
\(410\) | 394.583 | − | 455.373i | 0.0475294 | − | 0.0548518i | ||||
\(411\) | −3593.28 | + | 1055.08i | −0.431249 | + | 0.126626i | ||||
\(412\) | 11611.9 | − | 4648.71i | 1.38854 | − | 0.555887i | ||||
\(413\) | 9258.03 | + | 13001.1i | 1.10305 | + | 1.54901i | ||||
\(414\) | 4193.78 | − | 808.285i | 0.497858 | − | 0.0959542i | ||||
\(415\) | −1293.02 | + | 3735.93i | −0.152944 | + | 0.441902i | ||||
\(416\) | −2346.18 | + | 1507.80i | −0.276516 | + | 0.177706i | ||||
\(417\) | −3936.04 | − | 1155.73i | −0.462227 | − | 0.135722i | ||||
\(418\) | −465.268 | + | 44.4277i | −0.0544425 | + | 0.00519863i | ||||
\(419\) | 212.120 | − | 4452.95i | 0.0247321 | − | 0.519190i | −0.952179 | − | 0.305542i | \(-0.901162\pi\) |
0.976911 | − | 0.213648i | \(-0.0685346\pi\) | |||||||
\(420\) | −4001.00 | − | 2062.66i | −0.464831 | − | 0.239637i | ||||
\(421\) | −1570.52 | − | 6473.79i | −0.181812 | − | 0.749437i | −0.987568 | − | 0.157191i | \(-0.949756\pi\) |
0.805757 | − | 0.592247i | \(-0.201759\pi\) | |||||||
\(422\) | −10804.5 | − | 4325.48i | −1.24634 | − | 0.498960i | ||||
\(423\) | −38.6160 | − | 3.68738i | −0.00443871 | − | 0.000423846i | ||||
\(424\) | 71.0660 | − | 494.275i | 0.00813979 | − | 0.0566135i | ||||
\(425\) | 5119.38 | − | 4025.92i | 0.584297 | − | 0.459496i | ||||
\(426\) | −3923.98 | − | 2521.79i | −0.446285 | − | 0.286810i | ||||
\(427\) | 4615.38 | + | 5326.43i | 0.523076 | + | 0.603662i | ||||
\(428\) | 948.633 | − | 489.054i | 0.107135 | − | 0.0552321i | ||||
\(429\) | 192.666 | + | 421.879i | 0.0216829 | + | 0.0474790i | ||||
\(430\) | −3201.02 | − | 616.947i | −0.358993 | − | 0.0691902i | ||||
\(431\) | −7189.92 | + | 12453.3i | −0.803541 | + | 1.39177i | 0.113730 | + | 0.993512i | \(0.463720\pi\) |
−0.917272 | + | 0.398262i | \(0.869613\pi\) | |||||||
\(432\) | 432.065 | + | 748.359i | 0.0481198 | + | 0.0833459i | ||||
\(433\) | −2584.94 | − | 7468.70i | −0.286892 | − | 0.828921i | −0.992710 | − | 0.120527i | \(-0.961541\pi\) |
0.705818 | − | 0.708393i | \(-0.250580\pi\) | |||||||
\(434\) | −1677.27 | − | 1319.02i | −0.185511 | − | 0.145887i | ||||
\(435\) | 2354.02 | − | 2244.55i | 0.259463 | − | 0.247398i | ||||
\(436\) | −458.805 | + | 437.469i | −0.0503962 | + | 0.0480527i | ||||
\(437\) | 689.070 | + | 541.890i | 0.0754295 | + | 0.0593184i | ||||
\(438\) | 312.562 | + | 903.088i | 0.0340977 | + | 0.0985188i | ||||
\(439\) | −3695.37 | − | 6400.58i | −0.401755 | − | 0.695861i | 0.592182 | − | 0.805804i | \(-0.298266\pi\) |
−0.993938 | + | 0.109943i | \(0.964933\pi\) | |||||||
\(440\) | 579.156 | − | 1003.13i | 0.0627504 | − | 0.108687i | ||||
\(441\) | 569.131 | + | 109.691i | 0.0614546 | + | 0.0118444i | ||||
\(442\) | 1729.22 | + | 3786.47i | 0.186087 | + | 0.407475i | ||||
\(443\) | −15928.8 | + | 8211.87i | −1.70835 | + | 0.880718i | −0.727466 | + | 0.686144i | \(0.759302\pi\) |
−0.980888 | + | 0.194574i | \(0.937668\pi\) | |||||||
\(444\) | −322.825 | − | 372.560i | −0.0345059 | − | 0.0398219i | ||||
\(445\) | −1231.36 | − | 791.345i | −0.131173 | − | 0.0842997i | ||||
\(446\) | 3066.08 | − | 2411.19i | 0.325523 | − | 0.255994i | ||||
\(447\) | −748.164 | + | 5203.59i | −0.0791654 | + | 0.550608i | ||||
\(448\) | −15935.3 | − | 1521.64i | −1.68052 | − | 0.160470i | ||||
\(449\) | 3594.50 | + | 1439.02i | 0.377806 | + | 0.151251i | 0.552790 | − | 0.833321i | \(-0.313563\pi\) |
−0.174984 | + | 0.984571i | \(0.555987\pi\) | |||||||
\(450\) | 726.717 | + | 2995.57i | 0.0761284 | + | 0.313805i | ||||
\(451\) | −241.893 | − | 124.705i | −0.0252557 | − | 0.0130202i | ||||
\(452\) | 480.856 | − | 10094.4i | 0.0500388 | − | 1.05044i | ||||
\(453\) | 3602.89 | − | 344.034i | 0.373683 | − | 0.0356824i | ||||
\(454\) | −13627.6 | − | 4001.43i | −1.40876 | − | 0.413648i | ||||
\(455\) | −1335.90 | + | 858.532i | −0.137644 | + | 0.0884585i | ||||
\(456\) | 100.447 | − | 290.223i | 0.0103155 | − | 0.0298047i | ||||
\(457\) | −4183.59 | + | 806.321i | −0.428228 | + | 0.0825342i | −0.398811 | − | 0.917033i | \(-0.630577\pi\) |
−0.0294168 | + | 0.999567i | \(0.509365\pi\) | |||||||
\(458\) | 5615.61 | + | 7886.02i | 0.572926 | + | 0.804562i | ||||
\(459\) | 2073.70 | − | 830.183i | 0.210876 | − | 0.0844218i | ||||
\(460\) | −7780.19 | + | 2284.47i | −0.788594 | + | 0.231552i | ||||
\(461\) | −8037.92 | + | 9276.25i | −0.812067 | + | 0.937176i | −0.998978 | − | 0.0452012i | \(-0.985607\pi\) |
0.186910 | + | 0.982377i | \(0.440153\pi\) | |||||||
\(462\) | −830.224 | + | 3422.23i | −0.0836051 | + | 0.344625i | ||||
\(463\) | −7615.08 | + | 10693.9i | −0.764369 | + | 1.07341i | 0.230583 | + | 0.973053i | \(0.425937\pi\) |
−0.994952 | + | 0.100353i | \(0.968003\pi\) | |||||||
\(464\) | 2118.98 | − | 4639.91i | 0.212007 | − | 0.464230i | ||||
\(465\) | −23.5958 | − | 495.336i | −0.00235318 | − | 0.0493993i | ||||
\(466\) | −1571.02 | − | 10926.7i | −0.156172 | − | 1.08620i | ||||
\(467\) | 148.432 | + | 141.529i | 0.0147079 | + | 0.0140240i | 0.697397 | − | 0.716685i | \(-0.254341\pi\) |
−0.682689 | + | 0.730709i | \(0.739190\pi\) | |||||||
\(468\) | −1137.45 | −0.112348 | ||||||||
\(469\) | −10623.7 | − | 3109.40i | −1.04596 | − | 0.306139i | ||||
\(470\) | 127.564 | 0.0125193 | ||||||||
\(471\) | −6275.54 | − | 5983.71i | −0.613931 | − | 0.585382i | ||||
\(472\) | −1433.47 | − | 9969.98i | −0.139790 | − | 0.972258i | ||||
\(473\) | 70.0590 | + | 1470.72i | 0.00681040 | + | 0.142968i | ||||
\(474\) | −7500.75 | + | 16424.3i | −0.726837 | + | 1.59155i | ||||
\(475\) | −366.989 | + | 515.364i | −0.0354497 | + | 0.0497822i | ||||
\(476\) | −4302.05 | + | 17733.3i | −0.414252 | + | 1.70757i | ||||
\(477\) | −231.048 | + | 266.644i | −0.0221782 | + | 0.0255950i | ||||
\(478\) | −16028.3 | + | 4706.33i | −1.53372 | + | 0.450340i | ||||
\(479\) | 19196.3 | − | 7685.03i | 1.83111 | − | 0.733064i | 0.854013 | − | 0.520252i | \(-0.174162\pi\) |
0.977093 | − | 0.212812i | \(-0.0682623\pi\) | |||||||
\(480\) | −2854.63 | − | 4008.77i | −0.271449 | − | 0.381197i | ||||
\(481\) | −170.765 | + | 32.9122i | −0.0161875 | + | 0.00311989i | ||||
\(482\) | 8358.06 | − | 24149.0i | 0.789832 | − | 2.28207i | ||||
\(483\) | 5556.38 | − | 3570.87i | 0.523445 | − | 0.336398i | ||||
\(484\) | 12082.2 | + | 3547.67i | 1.13470 | + | 0.333177i | ||||
\(485\) | 458.006 | − | 43.7343i | 0.0428804 | − | 0.00409458i | ||||
\(486\) | −50.3036 | + | 1056.00i | −0.00469510 | + | 0.0985622i | ||||
\(487\) | 2017.79 | + | 1040.24i | 0.187751 | + | 0.0967924i | 0.549539 | − | 0.835468i | \(-0.314803\pi\) |
−0.361788 | + | 0.932260i | \(0.617834\pi\) | |||||||
\(488\) | −1048.61 | − | 4322.45i | −0.0972716 | − | 0.400959i | ||||
\(489\) | −5574.68 | − | 2231.76i | −0.515533 | − | 0.206388i | ||||
\(490\) | −1897.36 | − | 181.176i | −0.174927 | − | 0.0167035i | ||||
\(491\) | 1405.37 | − | 9774.57i | 0.129172 | − | 0.898412i | −0.817435 | − | 0.576021i | \(-0.804604\pi\) |
0.946607 | − | 0.322391i | \(-0.104486\pi\) | |||||||
\(492\) | 524.645 | − | 412.586i | 0.0480749 | − | 0.0378065i | ||||
\(493\) | −11092.2 | − | 7128.51i | −1.01332 | − | 0.651221i | ||||
\(494\) | −264.810 | − | 305.607i | −0.0241182 | − | 0.0278338i | ||||
\(495\) | −727.426 | + | 375.014i | −0.0660513 | + | 0.0340518i | ||||
\(496\) | −323.064 | − | 707.411i | −0.0292460 | − | 0.0640397i | ||||
\(497\) | −7083.02 | − | 1365.14i | −0.639270 | − | 0.123209i | ||||
\(498\) | −3792.52 | + | 6568.83i | −0.341258 | + | 0.591077i | ||||
\(499\) | −3092.87 | − | 5357.00i | −0.277466 | − | 0.480586i | 0.693288 | − | 0.720661i | \(-0.256161\pi\) |
−0.970754 | + | 0.240075i | \(0.922828\pi\) | |||||||
\(500\) | −4953.30 | − | 14311.6i | −0.443036 | − | 1.28007i | ||||
\(501\) | −924.629 | − | 727.136i | −0.0824538 | − | 0.0648424i | ||||
\(502\) | 24565.1 | − | 23422.8i | 2.18405 | − | 2.08249i | ||||
\(503\) | −1369.02 | + | 1305.36i | −0.121355 | + | 0.115712i | −0.748327 | − | 0.663330i | \(-0.769143\pi\) |
0.626972 | + | 0.779042i | \(0.284294\pi\) | |||||||
\(504\) | −1818.89 | − | 1430.39i | −0.160753 | − | 0.126418i | ||||
\(505\) | 1757.70 | + | 5078.54i | 0.154884 | + | 0.447509i | ||||
\(506\) | 3171.74 | + | 5493.62i | 0.278658 | + | 0.482651i | ||||
\(507\) | 3094.87 | − | 5360.47i | 0.271100 | − | 0.469559i | ||||
\(508\) | 18794.3 | + | 3622.31i | 1.64146 | + | 0.316366i | ||||
\(509\) | −1269.79 | − | 2780.46i | −0.110575 | − | 0.242125i | 0.846252 | − | 0.532782i | \(-0.178853\pi\) |
−0.956827 | + | 0.290657i | \(0.906126\pi\) | |||||||
\(510\) | −6528.83 | + | 3365.85i | −0.566866 | + | 0.292239i | ||||
\(511\) | 967.800 | + | 1116.90i | 0.0837827 | + | 0.0966904i | ||||
\(512\) | −9236.29 | − | 5935.80i | −0.797247 | − | 0.512359i | ||||
\(513\) | −170.567 | + | 134.135i | −0.0146797 | + | 0.0115443i | ||||
\(514\) | −1931.14 | + | 13431.4i | −0.165718 | + | 1.15259i | ||||
\(515\) | 7751.02 | + | 740.132i | 0.663205 | + | 0.0633284i | ||||
\(516\) | −3352.38 | − | 1342.09i | −0.286009 | − | 0.114501i | ||||
\(517\) | −13.5834 | − | 55.9916i | −0.00115551 | − | 0.00476307i | ||||
\(518\) | −1173.67 | − | 605.068i | −0.0995521 | − | 0.0513227i | ||||
\(519\) | −485.098 | + | 10183.5i | −0.0410279 | + | 0.861281i | ||||
\(520\) | 997.622 | − | 95.2614i | 0.0841320 | − | 0.00803363i | ||||
\(521\) | −1444.73 | − | 424.212i | −0.121487 | − | 0.0356719i | 0.220424 | − | 0.975404i | \(-0.429256\pi\) |
−0.341911 | + | 0.939732i | \(0.611074\pi\) | |||||||
\(522\) | 5249.87 | − | 3373.89i | 0.440193 | − | 0.282895i | ||||
\(523\) | −3983.04 | + | 11508.2i | −0.333013 | + | 0.962179i | 0.646869 | + | 0.762601i | \(0.276078\pi\) |
−0.979882 | + | 0.199578i | \(0.936043\pi\) | |||||||
\(524\) | −12123.1 | + | 2336.54i | −1.01069 | + | 0.194795i | ||||
\(525\) | 2765.07 | + | 3883.00i | 0.229862 | + | 0.322796i | ||||
\(526\) | 7209.43 | − | 2886.22i | 0.597616 | − | 0.239249i | ||||
\(527\) | −1928.83 | + | 566.355i | −0.159433 | + | 0.0468137i | ||||
\(528\) | −840.486 | + | 969.972i | −0.0692755 | + | 0.0799482i | ||||
\(529\) | −63.4744 | + | 261.645i | −0.00521693 | + | 0.0215045i | ||||
\(530\) | 672.998 | − | 945.093i | 0.0551569 | − | 0.0774570i | ||||
\(531\) | −2956.39 | + | 6473.60i | −0.241613 | + | 0.529059i | ||||
\(532\) | −84.3463 | − | 1770.65i | −0.00687383 | − | 0.144299i | ||||
\(533\) | −33.5092 | − | 233.062i | −0.00272316 | − | 0.0189400i | ||||
\(534\) | −2032.49 | − | 1937.97i | −0.164708 | − | 0.157049i | ||||
\(535\) | 664.389 | 0.0536898 | ||||||||
\(536\) | 5059.99 | + | 4816.33i | 0.407758 | + | 0.388123i | ||||
\(537\) | 12799.3 | 1.02855 | ||||||||
\(538\) | −452.519 | − | 431.476i | −0.0362630 | − | 0.0345767i | ||||
\(539\) | 122.514 | + | 852.101i | 0.00979041 | + | 0.0680938i | ||||
\(540\) | −95.5039 | − | 2004.87i | −0.00761080 | − | 0.159770i | ||||
\(541\) | −2398.25 | + | 5251.43i | −0.190589 | + | 0.417332i | −0.980670 | − | 0.195671i | \(-0.937311\pi\) |
0.790080 | + | 0.613003i | \(0.210039\pi\) | |||||||
\(542\) | 9633.43 | − | 13528.3i | 0.763453 | − | 1.07212i | ||||
\(543\) | −538.135 | + | 2218.22i | −0.0425296 | + | 0.175309i | ||||
\(544\) | −13064.3 | + | 15077.1i | −1.02965 | + | 1.18828i | ||||
\(545\) | −378.648 | + | 111.181i | −0.0297606 | + | 0.00873850i | ||||
\(546\) | −2828.52 | + | 1132.37i | −0.221702 | + | 0.0887562i | ||||
\(547\) | 4717.30 | + | 6624.53i | 0.368734 | + | 0.517814i | 0.956702 | − | 0.291070i | \(-0.0940113\pi\) |
−0.587968 | + | 0.808884i | \(0.700072\pi\) | |||||||
\(548\) | 13395.0 | − | 2581.67i | 1.04417 | − | 0.201247i | ||||
\(549\) | −1027.85 | + | 2969.76i | −0.0799041 | + | 0.230868i | ||||
\(550\) | −3851.47 | + | 2475.19i | −0.298595 | + | 0.191895i | ||||
\(551\) | 1228.99 | + | 360.865i | 0.0950214 | + | 0.0279008i | ||||
\(552\) | −4149.38 | + | 396.218i | −0.319944 | + | 0.0305510i | ||||
\(553\) | −1328.63 | + | 27891.3i | −0.102168 | + | 2.14477i | ||||
\(554\) | −10.4053 | − | 5.36431i | −0.000797976 | − | 0.000411385i | ||||
\(555\) | −72.3489 | − | 298.226i | −0.00553341 | − | 0.0228090i | ||||
\(556\) | 13872.4 | + | 5553.67i | 1.05813 | + | 0.423611i | ||||
\(557\) | −1537.00 | − | 146.765i | −0.116920 | − | 0.0111645i | 0.0364318 | − | 0.999336i | \(-0.488401\pi\) |
−0.153352 | + | 0.988172i | \(0.549007\pi\) | |||||||
\(558\) | 135.405 | − | 941.761i | 0.0102727 | − | 0.0714479i | ||||
\(559\) | −1001.35 | + | 787.470i | −0.0757649 | + | 0.0595822i | ||||
\(560\) | −3696.87 | − | 2375.83i | −0.278966 | − | 0.179281i | ||||
\(561\) | 2172.58 | + | 2507.29i | 0.163505 | + | 0.188695i | ||||
\(562\) | 7324.43 | − | 3776.00i | 0.549755 | − | 0.283418i | ||||
\(563\) | 10119.9 | + | 22159.6i | 0.757557 | + | 1.65882i | 0.752290 | + | 0.658833i | \(0.228949\pi\) |
0.00526758 | + | 0.999986i | \(0.498323\pi\) | |||||||
\(564\) | 138.750 | + | 26.7418i | 0.0103589 | + | 0.00199651i | ||||
\(565\) | 3145.49 | − | 5448.15i | 0.234216 | − | 0.405673i | ||||
\(566\) | −392.580 | − | 679.968i | −0.0291543 | − | 0.0504968i | ||||
\(567\) | 534.729 | + | 1545.00i | 0.0396058 | + | 0.114434i | ||||
\(568\) | 3578.33 | + | 2814.03i | 0.264337 | + | 0.207877i | ||||
\(569\) | 14075.6 | − | 13421.0i | 1.03704 | − | 0.988819i | 0.0370987 | − | 0.999312i | \(-0.488188\pi\) |
0.999945 | + | 0.0104924i | \(0.00333991\pi\) | |||||||
\(570\) | 516.428 | − | 492.413i | 0.0379488 | − | 0.0361841i | ||||
\(571\) | 17874.7 | + | 14056.8i | 1.31004 | + | 1.03023i | 0.996749 | + | 0.0805713i | \(0.0256745\pi\) |
0.313293 | + | 0.949657i | \(0.398568\pi\) | |||||||
\(572\) | −552.553 | − | 1596.50i | −0.0403905 | − | 0.116701i | ||||
\(573\) | 871.168 | + | 1508.91i | 0.0635141 | + | 0.110010i | ||||
\(574\) | 893.900 | − | 1548.28i | 0.0650012 | − | 0.112585i | ||||
\(575\) | 8431.73 | + | 1625.08i | 0.611526 | + | 0.117862i | ||||
\(576\) | −2965.15 | − | 6492.77i | −0.214493 | − | 0.469673i | ||||
\(577\) | −22365.7 | + | 11530.3i | −1.61369 | + | 0.831913i | −0.614616 | + | 0.788827i | \(0.710689\pi\) |
−0.999071 | + | 0.0430866i | \(0.986281\pi\) | |||||||
\(578\) | 5502.08 | + | 6349.74i | 0.395945 | + | 0.456945i | ||||
\(579\) | 8423.63 | + | 5413.54i | 0.604619 | + | 0.388565i | ||||
\(580\) | −9313.14 | + | 7323.93i | −0.666736 | + | 0.524327i | ||||
\(581\) | −1669.35 | + | 11610.6i | −0.119202 | + | 0.829066i | ||||
\(582\) | 878.744 | + | 83.9099i | 0.0625861 | + | 0.00597625i | ||||
\(583\) | −486.493 | − | 194.762i | −0.0345600 | − | 0.0138357i | ||||
\(584\) | −219.884 | − | 906.375i | −0.0155803 | − | 0.0642227i | ||||
\(585\) | −629.362 | − | 324.459i | −0.0444802 | − | 0.0229311i | ||||
\(586\) | −1627.79 | + | 34171.6i | −0.114750 | + | 2.40890i | ||||
\(587\) | 19803.7 | − | 1891.03i | 1.39248 | − | 0.132966i | 0.628302 | − | 0.777969i | \(-0.283750\pi\) |
0.764180 | + | 0.645004i | \(0.223144\pi\) | |||||||
\(588\) | −2025.76 | − | 594.816i | −0.142076 | − | 0.0417173i | ||||
\(589\) | 164.284 | − | 105.579i | 0.0114927 | − | 0.00738593i | ||||
\(590\) | 7654.32 | − | 22115.7i | 0.534107 | − | 1.54320i | ||||
\(591\) | 132.626 | − | 25.5616i | 0.00923099 | − | 0.00177913i | ||||
\(592\) | −279.157 | − | 392.021i | −0.0193805 | − | 0.0272162i | ||||
\(593\) | −5208.65 | + | 2085.23i | −0.360698 | + | 0.144402i | −0.544931 | − | 0.838481i | \(-0.683444\pi\) |
0.184233 | + | 0.982883i | \(0.441020\pi\) | |||||||
\(594\) | −1506.61 | + | 442.381i | −0.104069 | + | 0.0305574i | ||||
\(595\) | −7438.78 | + | 8584.81i | −0.512538 | + | 0.591501i | ||||
\(596\) | 4514.69 | − | 18609.8i | 0.310284 | − | 1.27901i | ||||
\(597\) | 3758.40 | − | 5277.94i | 0.257657 | − | 0.361828i | ||||
\(598\) | −2279.93 | + | 4992.35i | −0.155909 | + | 0.341392i | ||||
\(599\) | −1250.64 | − | 26254.2i | −0.0853084 | − | 1.79084i | −0.485322 | − | 0.874335i | \(-0.661298\pi\) |
0.400014 | − | 0.916509i | \(-0.369005\pi\) | |||||||
\(600\) | −428.130 | − | 2977.71i | −0.0291305 | − | 0.202607i | ||||
\(601\) | −18952.7 | − | 18071.3i | −1.28635 | − | 1.22653i | −0.959583 | − | 0.281426i | \(-0.909192\pi\) |
−0.326766 | − | 0.945105i | \(-0.605959\pi\) | |||||||
\(602\) | −9672.51 | −0.654854 | ||||||||
\(603\) | −1167.80 | − | 4795.63i | −0.0788668 | − | 0.323869i | ||||
\(604\) | −13183.6 | −0.888138 | ||||||||
\(605\) | 5673.23 | + | 5409.42i | 0.381239 | + | 0.363511i | ||||
\(606\) | 1467.40 | + | 10206.0i | 0.0983647 | + | 0.684142i | ||||
\(607\) | 89.8767 | + | 1886.74i | 0.00600985 | + | 0.126162i | 0.999878 | + | 0.0155943i | \(0.00496401\pi\) |
−0.993869 | + | 0.110568i | \(0.964733\pi\) | |||||||
\(608\) | 805.078 | − | 1762.88i | 0.0537010 | − | 0.117589i | ||||
\(609\) | 5597.98 | − | 7861.26i | 0.372482 | − | 0.523078i | ||||
\(610\) | 2436.39 | − | 10042.9i | 0.161716 | − | 0.666601i | ||||
\(611\) | 32.6438 | − | 37.6730i | 0.00216142 | − | 0.00249441i | ||||
\(612\) | −7806.94 | + | 2292.32i | −0.515648 | + | 0.151408i | ||||
\(613\) | 5809.65 | − | 2325.83i | 0.382789 | − | 0.153246i | −0.172284 | − | 0.985047i | \(-0.555115\pi\) |
0.555073 | + | 0.831802i | \(0.312690\pi\) | |||||||
\(614\) | 14967.8 | + | 21019.4i | 0.983798 | + | 1.38155i | ||||
\(615\) | 407.981 | − | 78.6318i | 0.0267502 | − | 0.00515568i | ||||
\(616\) | 1124.07 | − | 3247.79i | 0.0735229 | − | 0.212430i | ||||
\(617\) | 5800.35 | − | 3727.66i | 0.378466 | − | 0.243225i | −0.337552 | − | 0.941307i | \(-0.609599\pi\) |
0.716018 | + | 0.698081i | \(0.245963\pi\) | |||||||
\(618\) | 14333.8 | + | 4208.80i | 0.932997 | + | 0.273953i | ||||
\(619\) | 23150.1 | − | 2210.56i | 1.50320 | − | 0.143538i | 0.689270 | − | 0.724505i | \(-0.257931\pi\) |
0.813927 | + | 0.580967i | \(0.197325\pi\) | |||||||
\(620\) | −85.9504 | + | 1804.32i | −0.00556750 | + | 0.116876i | ||||
\(621\) | 2617.69 | + | 1349.51i | 0.169153 | + | 0.0872046i | ||||
\(622\) | −3463.69 | − | 14277.5i | −0.223282 | − | 0.920380i | ||||
\(623\) | −4031.88 | − | 1614.12i | −0.259284 | − | 0.103802i | ||||
\(624\) | −1105.41 | − | 105.554i | −0.0709162 | − | 0.00677167i | ||||
\(625\) | −58.7483 | + | 408.603i | −0.00375989 | + | 0.0261506i | ||||
\(626\) | 1366.70 | − | 1074.79i | 0.0872594 | − | 0.0686215i | ||||
\(627\) | −271.126 | − | 174.242i | −0.0172691 | − | 0.0110982i | ||||
\(628\) | 20684.0 | + | 23870.6i | 1.31430 | + | 1.51678i | ||||
\(629\) | −1105.72 | + | 570.038i | −0.0700921 | + | 0.0361350i | ||||
\(630\) | −2233.40 | − | 4890.47i | −0.141239 | − | 0.309271i | ||||
\(631\) | −5210.35 | − | 1004.21i | −0.328718 | − | 0.0633551i | 0.0222224 | − | 0.999753i | \(-0.492926\pi\) |
−0.350940 | + | 0.936398i | \(0.614138\pi\) | |||||||
\(632\) | 8810.91 | − | 15260.9i | 0.554555 | − | 0.960518i | ||||
\(633\) | −4012.61 | − | 6950.04i | −0.251954 | − | 0.436397i | ||||
\(634\) | 14120.0 | + | 40797.0i | 0.884505 | + | 2.55561i | ||||
\(635\) | 9365.78 | + | 7365.33i | 0.585306 | + | 0.460290i | ||||
\(636\) | 930.137 | − | 886.884i | 0.0579911 | − | 0.0552944i | ||||
\(637\) | −539.045 | + | 513.978i | −0.0335286 | + | 0.0319695i | ||||
\(638\) | 7285.78 | + | 5729.60i | 0.452111 | + | 0.355544i | ||||
\(639\) | −1051.98 | − | 3039.50i | −0.0651264 | − | 0.188170i | ||||
\(640\) | 5174.35 | + | 8962.24i | 0.319585 | + | 0.553537i | ||||
\(641\) | −14424.1 | + | 24983.3i | −0.888798 | + | 1.53944i | −0.0474999 | + | 0.998871i | \(0.515125\pi\) |
−0.841298 | + | 0.540572i | \(0.818208\pi\) | |||||||
\(642\) | 1251.68 | + | 241.242i | 0.0769469 | + | 0.0148303i | ||||
\(643\) | 6886.79 | + | 15080.0i | 0.422377 | + | 0.924877i | 0.994503 | + | 0.104711i | \(0.0333917\pi\) |
−0.572126 | + | 0.820166i | \(0.693881\pi\) | |||||||
\(644\) | −21384.5 | + | 11024.5i | −1.30849 | + | 0.674574i | ||||
\(645\) | −1472.07 | − | 1698.86i | −0.0898646 | − | 0.103709i | ||||
\(646\) | −2433.42 | − | 1563.87i | −0.148207 | − | 0.0952469i | ||||
\(647\) | −10806.9 | + | 8498.60i | −0.656663 | + | 0.516406i | −0.889983 | − | 0.455994i | \(-0.849284\pi\) |
0.233319 | + | 0.972400i | \(0.425041\pi\) | |||||||
\(648\) | 146.837 | − | 1021.27i | 0.00890170 | − | 0.0619127i | ||||
\(649\) | −10522.3 | − | 1004.76i | −0.636420 | − | 0.0607707i | ||||
\(650\) | −3677.32 | − | 1472.18i | −0.221902 | − | 0.0888361i | ||||
\(651\) | −346.889 | − | 1429.90i | −0.0208843 | − | 0.0860861i | ||||
\(652\) | 19441.7 | + | 10022.9i | 1.16779 | + | 0.602035i | ||||
\(653\) | 38.8826 | − | 816.247i | 0.00233016 | − | 0.0489161i | −0.997403 | − | 0.0720257i | \(-0.977054\pi\) |
0.999733 | + | 0.0231096i | \(0.00735667\pi\) | |||||||
\(654\) | −753.728 | + | 71.9723i | −0.0450659 | + | 0.00430327i | ||||
\(655\) | −7374.33 | − | 2165.30i | −0.439907 | − | 0.129168i | ||||
\(656\) | 548.151 | − | 352.275i | 0.0326245 | − | 0.0209665i | ||||
\(657\) | −215.529 | + | 622.731i | −0.0127985 | + | 0.0369788i | ||||
\(658\) | 371.653 | − | 71.6302i | 0.0220191 | − | 0.00424383i | ||||
\(659\) | −5256.81 | − | 7382.16i | −0.310738 | − | 0.436371i | 0.629442 | − | 0.777047i | \(-0.283283\pi\) |
−0.940181 | + | 0.340676i | \(0.889344\pi\) | |||||||
\(660\) | 2767.59 | − | 1107.98i | 0.163225 | − | 0.0653453i | ||||
\(661\) | 16530.1 | − | 4853.67i | 0.972687 | − | 0.285607i | 0.243485 | − | 0.969905i | \(-0.421709\pi\) |
0.729202 | + | 0.684298i | \(0.239891\pi\) | |||||||
\(662\) | −13605.5 | + | 15701.6i | −0.798782 | + | 0.921843i | ||||
\(663\) | −676.717 | + | 2789.47i | −0.0396403 | + | 0.163399i | ||||
\(664\) | 4293.94 | − | 6030.00i | 0.250960 | − | 0.352424i | ||||
\(665\) | 458.408 | − | 1003.77i | 0.0267313 | − | 0.0585333i | ||||
\(666\) | −28.0154 | − | 588.116i | −0.00162999 | − | 0.0342178i | ||||
\(667\) | −2474.07 | − | 17207.5i | −0.143623 | − | 0.998917i | ||||
\(668\) | 3101.05 | + | 2956.84i | 0.179615 | + | 0.171263i | ||||
\(669\) | 2689.69 | 0.155440 | ||||||||
\(670\) | 5321.90 | + | 15333.6i | 0.306870 | + | 0.884165i | ||||
\(671\) | −4667.58 | −0.268539 | ||||||||
\(672\) | −10567.9 | − | 10076.5i | −0.606645 | − | 0.578435i | ||||
\(673\) | 589.613 | + | 4100.85i | 0.0337710 | + | 0.234883i | 0.999715 | − | 0.0238683i | \(-0.00759823\pi\) |
−0.965944 | + | 0.258751i | \(0.916689\pi\) | |||||||
\(674\) | 1461.69 | + | 30684.6i | 0.0835343 | + | 1.75360i | ||||
\(675\) | −882.978 | + | 1933.45i | −0.0503494 | + | 0.110250i | ||||
\(676\) | −13078.4 | + | 18366.1i | −0.744108 | + | 1.04495i | ||||
\(677\) | 2510.65 | − | 10349.1i | 0.142529 | − | 0.587513i | −0.855086 | − | 0.518487i | \(-0.826496\pi\) |
0.997615 | − | 0.0690266i | \(-0.0219893\pi\) | |||||||
\(678\) | 7904.21 | − | 9121.95i | 0.447728 | − | 0.516706i | ||||
\(679\) | 1309.83 | − | 384.600i | 0.0740303 | − | 0.0217373i | ||||
\(680\) | 6655.22 | − | 2664.35i | 0.375318 | − | 0.150254i | ||||
\(681\) | −5680.93 | − | 7977.75i | −0.319668 | − | 0.448910i | ||||
\(682\) | 1387.60 | − | 267.439i | 0.0779093 | − | 0.0150158i | ||||
\(683\) | 8703.31 | − | 25146.6i | 0.487588 | − | 1.40879i | −0.386168 | − | 0.922429i | \(-0.626201\pi\) |
0.873756 | − | 0.486365i | \(-0.161677\pi\) | |||||||
\(684\) | 664.941 | − | 427.331i | 0.0371705 | − | 0.0238880i | ||||
\(685\) | 8147.98 | + | 2392.46i | 0.454479 | + | 0.133447i | ||||
\(686\) | 24354.0 | − | 2325.53i | 1.35545 | − | 0.129430i | ||||
\(687\) | −317.642 | + | 6668.14i | −0.0176402 | + | 0.370313i | ||||
\(688\) | −3133.39 | − | 1615.37i | −0.173633 | − | 0.0895139i | ||||
\(689\) | −106.890 | − | 440.606i | −0.00591027 | − | 0.0243625i | ||||
\(690\) | −8990.95 | − | 3599.43i | −0.496057 | − | 0.198591i | ||||
\(691\) | −21386.9 | − | 2042.20i | −1.17742 | − | 0.112430i | −0.512056 | − | 0.858952i | \(-0.671116\pi\) |
−0.665360 | + | 0.746522i | \(0.731722\pi\) | |||||||
\(692\) | 5285.08 | − | 36758.6i | 0.290331 | − | 2.01929i | ||||
\(693\) | −1908.75 | + | 1501.06i | −0.104628 | + | 0.0822807i | ||||
\(694\) | −36456.6 | − | 23429.2i | −1.99405 | − | 1.28150i | ||||
\(695\) | 6091.52 | + | 7029.99i | 0.332467 | + | 0.383687i | ||||
\(696\) | −5413.42 | + | 2790.81i | −0.294820 | + | 0.151990i | ||||
\(697\) | −699.683 | − | 1532.09i | −0.0380235 | − | 0.0832599i | ||||
\(698\) | −4680.83 | − | 902.155i | −0.253828 | − | 0.0489213i | ||||
\(699\) | 3806.03 | − | 6592.24i | 0.205948 | − | 0.356712i | ||||
\(700\) | −8682.00 | − | 15037.7i | −0.468784 | − | 0.811957i | ||||
\(701\) | −5982.08 | − | 17284.1i | −0.322311 | − | 0.931256i | −0.983480 | − | 0.181019i | \(-0.942061\pi\) |
0.661169 | − | 0.750237i | \(-0.270061\pi\) | |||||||
\(702\) | −1067.88 | − | 839.790i | −0.0574139 | − | 0.0451508i | ||||
\(703\) | 87.4621 | − | 83.3949i | 0.00469231 | − | 0.00447411i | ||||
\(704\) | 7672.64 | − | 7315.85i | 0.410758 | − | 0.391657i | ||||
\(705\) | 69.1433 | + | 54.3749i | 0.00369374 | + | 0.00290479i | ||||
\(706\) | −6417.92 | − | 18543.4i | −0.342127 | − | 0.988510i | ||||
\(707\) | 7972.73 | + | 13809.2i | 0.424109 | + | 0.734579i | ||||
\(708\) | 12961.7 | − | 22450.4i | 0.688040 | − | 1.19172i | ||||
\(709\) | −23705.7 | − | 4568.91i | −1.25570 | − | 0.242015i | −0.482338 | − | 0.875985i | \(-0.660212\pi\) |
−0.773358 | + | 0.633970i | \(0.781424\pi\) | |||||||
\(710\) | 4393.81 | + | 9621.11i | 0.232249 | + | 0.508555i | ||||
\(711\) | −11066.6 | + | 5705.23i | −0.583727 | + | 0.300932i | ||||
\(712\) | 1794.84 | + | 2071.36i | 0.0944726 | + | 0.109027i | ||||
\(713\) | −2229.72 | − | 1432.95i | −0.117116 | − | 0.0752658i | ||||
\(714\) | −17131.5 | + | 13472.4i | −0.897943 | + | 0.706150i | ||||
\(715\) | 149.669 | − | 1040.97i | 0.00782839 | − | 0.0544477i | ||||
\(716\) | −46411.9 | − | 4431.80i | −2.42248 | − | 0.231319i | ||||
\(717\) | −10693.9 | − | 4281.19i | −0.557002 | − | 0.222990i | ||||
\(718\) | −577.992 | − | 2382.52i | −0.0300424 | − | 0.123837i | ||||
\(719\) | −5630.52 | − | 2902.74i | −0.292049 | − | 0.150562i | 0.305976 | − | 0.952039i | \(-0.401017\pi\) |
−0.598025 | + | 0.801478i | \(0.704048\pi\) | |||||||
\(720\) | 93.2354 | − | 1957.25i | 0.00482594 | − | 0.101309i | ||||
\(721\) | 22997.9 | − | 2196.04i | 1.18792 | − | 0.113432i | ||||
\(722\) | −28362.5 | − | 8327.98i | −1.46197 | − | 0.429273i | ||||
\(723\) | 14824.0 | − | 9526.79i | 0.762531 | − | 0.490049i | ||||
\(724\) | 2719.41 | − | 7857.22i | 0.139594 | − | 0.403330i | ||||
\(725\) | 12320.1 | − | 2374.50i | 0.631111 | − | 0.121637i | ||||
\(726\) | 8723.96 | + | 12251.1i | 0.445973 | + | 0.626282i | ||||
\(727\) | −3925.87 | + | 1571.68i | −0.200278 | + | 0.0801794i | −0.469633 | − | 0.882862i | \(-0.655614\pi\) |
0.269355 | + | 0.963041i | \(0.413190\pi\) | |||||||
\(728\) | 2853.05 | − | 837.730i | 0.145249 | − | 0.0426488i | ||||
\(729\) | −477.393 | + | 550.941i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 510.888 | − | 2105.91i | 0.0259025 | − | 0.106771i | ||||
\(731\) | −5285.78 | + | 7422.85i | −0.267444 | + | 0.375573i | ||||
\(732\) | 4755.38 | − | 10412.8i | 0.240115 | − | 0.525778i | ||||
\(733\) | −993.443 | − | 20854.9i | −0.0500596 | − | 1.05088i | −0.874529 | − | 0.484973i | \(-0.838829\pi\) |
0.824469 | − | 0.565906i | \(-0.191474\pi\) | |||||||
\(734\) | 2166.31 | + | 15067.0i | 0.108937 | + | 0.757674i | ||||
\(735\) | −951.197 | − | 906.964i | −0.0477353 | − | 0.0455155i | ||||
\(736\) | −26303.3 | −1.31733 | ||||||||
\(737\) | 6163.70 | − | 3968.72i | 0.308064 | − | 0.198358i | ||||
\(738\) | 797.170 | 0.0397618 | ||||||||
\(739\) | 12971.0 | + | 12367.9i | 0.645666 | + | 0.615642i | 0.940454 | − | 0.339921i | \(-0.110400\pi\) |
−0.294787 | + | 0.955563i | \(0.595249\pi\) | |||||||
\(740\) | 159.084 | + | 1106.46i | 0.00790279 | + | 0.0549651i | ||||
\(741\) | −13.2678 | − | 278.525i | −0.000657765 | − | 0.0138082i | ||||
\(742\) | 1430.06 | − | 3131.40i | 0.0707538 | − | 0.154929i | ||||
\(743\) | 17601.5 | − | 24717.8i | 0.869091 | − | 1.22047i | −0.105036 | − | 0.994468i | \(-0.533496\pi\) |
0.974127 | − | 0.226000i | \(-0.0725648\pi\) | |||||||
\(744\) | −218.917 | + | 902.389i | −0.0107875 | + | 0.0444667i | ||||
\(745\) | 7806.47 | − | 9009.15i | 0.383902 | − | 0.443047i | ||||
\(746\) | −32092.3 | + | 9423.16i | −1.57505 | + | 0.462475i | ||||
\(747\) | −4855.66 | + | 1943.91i | −0.237830 | + | 0.0952129i | ||||
\(748\) | −7009.89 | − | 9844.02i | −0.342657 | − | 0.481194i | ||||
\(749\) | 1935.68 | − | 373.071i | 0.0944300 | − | 0.0181999i | ||||
\(750\) | 5916.05 | − | 17093.3i | 0.288031 | − | 0.832212i | ||||
\(751\) | 544.210 | − | 349.742i | 0.0264427 | − | 0.0169937i | −0.527353 | − | 0.849646i | \(-0.676815\pi\) |
0.553795 | + | 0.832653i | \(0.313179\pi\) | |||||||
\(752\) | 132.359 | + | 38.8641i | 0.00641840 | + | 0.00188461i | ||||
\(753\) | 23299.1 | − | 2224.80i | 1.12758 | − | 0.107671i | ||||
\(754\) | −381.573 | + | 8010.20i | −0.0184298 | + | 0.386889i | ||||
\(755\) | −7294.62 | − | 3760.64i | −0.351627 | − | 0.181276i | ||||
\(756\) | −1404.03 | − | 5787.51i | −0.0675453 | − | 0.278425i | ||||
\(757\) | −27807.0 | − | 11132.3i | −1.33509 | − | 0.534490i | −0.409257 | − | 0.912419i | \(-0.634212\pi\) |
−0.925834 | + | 0.377929i | \(0.876636\pi\) | |||||||
\(758\) | 8381.38 | + | 800.325i | 0.401617 | + | 0.0383497i | ||||
\(759\) | −622.513 | + | 4329.68i | −0.0297705 | + | 0.207058i | ||||
\(760\) | −547.408 | + | 430.486i | −0.0261271 | + | 0.0205466i | ||||
\(761\) | −10417.7 | − | 6695.03i | −0.496242 | − | 0.318916i | 0.268469 | − | 0.963288i | \(-0.413482\pi\) |
−0.764712 | + | 0.644373i | \(0.777119\pi\) | |||||||
\(762\) | 14970.4 | + | 17276.7i | 0.711705 | + | 0.821351i | ||||
\(763\) | −1040.75 | + | 536.543i | −0.0493809 | + | 0.0254576i | ||||
\(764\) | −2636.50 | − | 5773.13i | −0.124850 | − | 0.273383i | ||||
\(765\) | −4973.53 | − | 958.569i | −0.235057 | − | 0.0453034i | ||||
\(766\) | 17759.7 | − | 30760.6i | 0.837706 | − | 1.45095i | ||||
\(767\) | −4572.60 | − | 7919.98i | −0.215264 | − | 0.372847i | ||||
\(768\) | 268.592 | + | 776.046i | 0.0126198 | + | 0.0364624i | ||||
\(769\) | −4607.42 | − | 3623.32i | −0.216057 | − | 0.169909i | 0.504265 | − | 0.863549i | \(-0.331763\pi\) |
−0.720322 | + | 0.693640i | \(0.756006\pi\) | |||||||
\(770\) | 5779.17 | − | 5510.43i | 0.270477 | − | 0.257899i | ||||
\(771\) | −6771.95 | + | 6457.04i | −0.316324 | + | 0.301614i | ||||
\(772\) | −28670.7 | − | 22546.9i | −1.33663 | − | 1.05114i | ||||
\(773\) | 7720.47 | + | 22306.8i | 0.359232 | + | 1.03793i | 0.969363 | + | 0.245631i | \(0.0789953\pi\) |
−0.610132 | + | 0.792300i | \(0.708883\pi\) | |||||||
\(774\) | −2156.46 | − | 3735.09i | −0.100145 | − | 0.173456i | ||||
\(775\) | 956.455 | − | 1656.63i | 0.0443315 | − | 0.0767843i | ||||
\(776\) | −845.944 | − | 163.042i | −0.0391335 | − | 0.00754237i | ||||
\(777\) | −378.248 | − | 828.247i | −0.0174640 | − | 0.0382409i | ||||
\(778\) | −21561.4 | + | 11115.7i | −0.993591 | + | 0.512232i | ||||
\(779\) | 107.148 | + | 123.656i | 0.00492809 | + | 0.00568732i | ||||
\(780\) | 2169.80 | + | 1394.45i | 0.0996043 | + | 0.0640118i | ||||
\(781\) | 3755.13 | − | 2953.06i | 0.172047 | − | 0.135300i | ||||
\(782\) | −5587.21 | + | 38859.9i | −0.255496 | + | 1.77702i | ||||
\(783\) | 4283.72 | + | 409.046i | 0.195514 | + | 0.0186694i | ||||
\(784\) | −1913.49 | − | 766.044i | −0.0871668 | − | 0.0348963i | ||||
\(785\) | 4635.53 | + | 19107.9i | 0.210763 | + | 0.868778i | ||||
\(786\) | −13106.7 | − | 6756.97i | −0.594784 | − | 0.306633i | ||||
\(787\) | 1164.73 | − | 24450.6i | 0.0527548 | − | 1.10746i | −0.804959 | − | 0.593331i | \(-0.797813\pi\) |
0.857713 | − | 0.514128i | \(-0.171884\pi\) | |||||||
\(788\) | −489.770 | + | 46.7674i | −0.0221413 | + | 0.00211424i | ||||
\(789\) | 5137.99 | + | 1508.65i | 0.231834 | + | 0.0680727i | ||||
\(790\) | 34443.6 | − | 22135.6i | 1.55120 | − | 0.996896i | ||||
\(791\) | 6105.01 | − | 17639.3i | 0.274424 | − | 0.792896i | ||||
\(792\) | 1504.76 | − | 290.019i | 0.0675118 | − | 0.0130118i | ||||
\(793\) | −2342.47 | − | 3289.54i | −0.104897 | − | 0.147308i | ||||
\(794\) | −62127.2 | + | 24872.0i | −2.77684 | + | 1.11168i | ||||
\(795\) | 767.636 | − | 225.398i | 0.0342456 | − | 0.0100554i | ||||
\(796\) | −15455.9 | + | 17837.1i | −0.688217 | + | 0.794245i | ||||
\(797\) | 1208.28 | − | 4980.58i | 0.0537005 | − | 0.221357i | −0.938638 | − | 0.344903i | \(-0.887912\pi\) |
0.992339 | + | 0.123547i | \(0.0394269\pi\) | |||||||
\(798\) | 1228.09 | − | 1724.62i | 0.0544788 | − | 0.0765048i | ||||
\(799\) | 148.129 | − | 324.357i | 0.00655873 | − | 0.0143616i | ||||
\(800\) | −903.282 | − | 18962.2i | −0.0399198 | − | 0.838019i | ||||
\(801\) | −275.594 | − | 1916.80i | −0.0121568 | − | 0.0845526i | ||||
\(802\) | −511.036 | − | 487.272i | −0.0225004 | − | 0.0214541i | ||||
\(803\) | −978.747 | −0.0430127 | ||||||||
\(804\) | 2574.10 | + | 17793.9i | 0.112912 | + | 0.780525i | ||||
\(805\) | −14977.0 | −0.655738 | ||||||||
\(806\) | 884.864 | + | 843.716i | 0.0386700 | + | 0.0368717i | ||||
\(807\) | −61.3591 | − | 426.762i | −0.00267651 | − | 0.0186155i | ||||
\(808\) | −478.816 | − | 10051.6i | −0.0208474 | − | 0.437640i | ||||
\(809\) | 9075.54 | − | 19872.7i | 0.394412 | − | 0.863641i | −0.603395 | − | 0.797443i | \(-0.706186\pi\) |
0.997806 | − | 0.0661984i | \(-0.0210870\pi\) | |||||||
\(810\) | 1390.55 | − | 1952.76i | 0.0603197 | − | 0.0847072i | ||||
\(811\) | 6545.65 | − | 26981.5i | 0.283414 | − | 1.16825i | −0.634963 | − | 0.772543i | \(-0.718985\pi\) |
0.918377 | − | 0.395707i | \(-0.129500\pi\) | |||||||
\(812\) | −23021.0 | + | 26567.6i | −0.994922 | + | 1.14820i | ||||
\(813\) | 10988.1 | − | 3226.40i | 0.474009 | − | 0.139182i | ||||
\(814\) | 811.853 | − | 325.017i | 0.0349575 | − | 0.0139949i | ||||
\(815\) | 7898.22 | + | 11091.5i | 0.339463 | + | 0.476710i | ||||
\(816\) | −7799.70 | + | 1503.27i | −0.334613 | + | 0.0644914i | ||||
\(817\) | 289.530 | − | 836.543i | 0.0123983 | − | 0.0358224i | ||||
\(818\) | −36396.7 | + | 23390.7i | −1.55572 | + | 0.999802i | ||||
\(819\) | −2015.82 | − | 591.898i | −0.0860054 | − | 0.0252535i | ||||
\(820\) | −1506.61 | + | 143.864i | −0.0641625 | + | 0.00612678i | ||||
\(821\) | −497.313 | + | 10439.9i | −0.0211405 | + | 0.443794i | 0.963338 | + | 0.268290i | \(0.0864585\pi\) |
−0.984479 | + | 0.175504i | \(0.943845\pi\) | |||||||
\(822\) | 14481.7 | + | 7465.86i | 0.614488 | + | 0.316790i | ||||
\(823\) | 4895.44 | + | 20179.3i | 0.207344 | + | 0.854685i | 0.976482 | + | 0.215601i | \(0.0691711\pi\) |
−0.769137 | + | 0.639084i | \(0.779314\pi\) | |||||||
\(824\) | −13535.3 | − | 5418.74i | −0.572240 | − | 0.229091i | ||||
\(825\) | −3142.67 | − | 300.089i | −0.132623 | − | 0.0126639i | ||||
\(826\) | 9882.09 | − | 68731.5i | 0.416274 | − | 2.89525i | ||||
\(827\) | 25311.8 | − | 19905.4i | 1.06430 | − | 0.836977i | 0.0771925 | − | 0.997016i | \(-0.475404\pi\) |
0.987111 | + | 0.160039i | \(0.0511620\pi\) | |||||||
\(828\) | −9024.79 | − | 5799.88i | −0.378784 | − | 0.243430i | ||||
\(829\) | 28273.7 | + | 32629.6i | 1.18454 | + | 1.36704i | 0.914700 | + | 0.404133i | \(0.132427\pi\) |
0.269844 | + | 0.962904i | \(0.413028\pi\) | |||||||
\(830\) | 15287.6 | − | 7881.29i | 0.639324 | − | 0.329594i | ||||
\(831\) | −3.35341 | − | 7.34293i | −0.000139986 | − | 0.000306527i | ||||
\(832\) | 9006.53 | + | 1735.87i | 0.375295 | + | 0.0723322i | ||||
\(833\) | −2663.92 | + | 4614.04i | −0.110803 | + | 0.191917i | ||||
\(834\) | 8923.56 | + | 15456.1i | 0.370501 | + | 0.641726i | ||||
\(835\) | 872.394 | + | 2520.62i | 0.0361562 | + | 0.104467i | ||||
\(836\) | 922.805 | + | 725.702i | 0.0381769 | + | 0.0300226i | ||||
\(837\) | 474.825 | − | 452.744i | 0.0196085 | − | 0.0186967i | ||||
\(838\) | −14036.8 | + | 13384.1i | −0.578633 | + | 0.551726i | ||||
\(839\) | −12571.9 | − | 9886.64i | −0.517318 | − | 0.406823i | 0.325074 | − | 0.945689i | \(-0.394611\pi\) |
−0.842392 | + | 0.538865i | \(0.818853\pi\) | |||||||
\(840\) | 1716.13 | + | 4958.44i | 0.0704907 | + | 0.203670i | ||||
\(841\) | −506.189 | − | 876.746i | −0.0207548 | − | 0.0359484i | ||||
\(842\) | −14491.0 | + | 25099.1i | −0.593102 | + | 1.02728i | ||||
\(843\) | 5579.60 | + | 1075.38i | 0.227961 | + | 0.0439360i | ||||
\(844\) | 12143.7 | + | 26591.1i | 0.495266 | + | 1.08448i | ||||
\(845\) | −12475.3 | + | 6431.49i | −0.507888 | + | 0.261834i | ||||
\(846\) | 110.519 | + | 127.546i | 0.00449141 | + | 0.00518336i | ||||
\(847\) | 19566.3 | + | 12574.5i | 0.793750 | + | 0.510112i | ||||
\(848\) | 986.232 | − | 775.582i | 0.0399379 | − | 0.0314075i | ||||
\(849\) | 77.0511 | − | 535.902i | 0.00311471 | − | 0.0216633i | ||||
\(850\) | −28206.2 | − | 2693.37i | −1.13819 | − | 0.108684i | ||||
\(851\) | −1522.70 | − | 609.598i | −0.0613367 | − | 0.0245555i | ||||
\(852\) | 2762.18 | + | 11385.9i | 0.111069 | + | 0.457833i | ||||
\(853\) | 22498.8 | + | 11598.9i | 0.903101 | + | 0.465581i | 0.846240 | − | 0.532801i | \(-0.178861\pi\) |
0.0568603 | + | 0.998382i | \(0.481891\pi\) | |||||||
\(854\) | 1458.98 | − | 30627.9i | 0.0584607 | − | 1.22724i | ||||
\(855\) | 489.813 | − | 46.7715i | 0.0195921 | − | 0.00187082i | ||||
\(856\) | −1193.67 | − | 350.493i | −0.0476621 | − | 0.0139949i | ||||
\(857\) | −18710.2 | + | 12024.3i | −0.745776 | + | 0.479281i | −0.857516 | − | 0.514457i | \(-0.827994\pi\) |
0.111741 | + | 0.993737i | \(0.464357\pi\) | |||||||
\(858\) | 659.950 | − | 1906.80i | 0.0262591 | − | 0.0758707i | ||||
\(859\) | 48295.2 | − | 9308.13i | 1.91829 | − | 0.369720i | 0.918613 | − | 0.395158i | \(-0.129310\pi\) |
0.999676 | + | 0.0254385i | \(0.00809818\pi\) | |||||||
\(860\) | 4749.67 | + | 6669.98i | 0.188328 | + | 0.264470i | ||||
\(861\) | 1144.48 | − | 458.182i | 0.0453007 | − | 0.0181357i | ||||
\(862\) | 60027.0 | − | 17625.5i | 2.37184 | − | 0.696435i | ||||
\(863\) | −14207.5 | + | 16396.3i | −0.560405 | + | 0.646741i | −0.963275 | − | 0.268515i | \(-0.913467\pi\) |
0.402871 | + | 0.915257i | \(0.368012\pi\) | |||||||
\(864\) | 1535.00 | − | 6327.37i | 0.0604420 | − | 0.249145i | ||||
\(865\) | 13409.7 | − | 18831.2i | 0.527101 | − | 0.740210i | ||||
\(866\) | −14283.9 | + | 31277.3i | −0.560491 | + | 1.22730i | ||||
\(867\) | 275.671 | + | 5787.04i | 0.0107985 | + | 0.226688i | ||||
\(868\) | 762.757 | + | 5305.09i | 0.0298268 | + | 0.207450i | ||||
\(869\) | −13383.6 | − | 12761.3i | −0.522449 | − | 0.498155i | ||||
\(870\) | −14150.8 | −0.551445 | ||||||||
\(871\) | 5890.32 | + | 2352.21i | 0.229146 | + | 0.0915060i | ||||
\(872\) | 738.948 | 0.0286972 | ||||||||
\(873\) | 440.538 | + | 420.052i | 0.0170790 | + | 0.0162848i | ||||
\(874\) | −542.765 | − | 3775.02i | −0.0210061 | − | 0.146100i | ||||
\(875\) | −1330.99 | − | 27940.9i | −0.0514236 | − | 1.07951i | ||||
\(876\) | 997.159 | − | 2183.47i | 0.0384599 | − | 0.0842154i | ||||
\(877\) | 14589.6 | − | 20488.3i | 0.561753 | − | 0.788871i | −0.431833 | − | 0.901954i | \(-0.642133\pi\) |
0.993586 | + | 0.113082i | \(0.0360724\pi\) | |||||||
\(878\) | −7580.67 | + | 31247.9i | −0.291384 | + | 1.20110i | ||||
\(879\) | −15448.2 | + | 17828.1i | −0.592780 | + | 0.684105i | ||||
\(880\) | 2792.43 | − | 819.932i | 0.106969 | − | 0.0314090i | ||||
\(881\) | 21032.5 | − | 8420.13i | 0.804316 | − | 0.321999i | 0.0671772 | − | 0.997741i | \(-0.478601\pi\) |
0.737139 | + | 0.675742i | \(0.236176\pi\) | |||||||
\(882\) | −1462.69 | − | 2054.07i | −0.0558406 | − | 0.0784172i | ||||
\(883\) | −17436.1 | + | 3360.53i | −0.664519 | + | 0.128076i | −0.510347 | − | 0.859968i | \(-0.670483\pi\) |
−0.154172 | + | 0.988044i | \(0.549271\pi\) | |||||||
\(884\) | 3419.72 | − | 9880.63i | 0.130110 | − | 0.375929i | ||||
\(885\) | 13575.8 | − | 8724.65i | 0.515645 | − | 0.331385i | ||||
\(886\) | 74809.1 | + | 21965.9i | 2.83664 | + | 0.832912i | ||||
\(887\) | 47065.9 | − | 4494.25i | 1.78164 | − | 0.170126i | 0.848396 | − | 0.529362i | \(-0.177569\pi\) |
0.933247 | + | 0.359236i | \(0.116963\pi\) | |||||||
\(888\) | −27.3417 | + | 573.973i | −0.00103325 | + | 0.0216906i | ||||
\(889\) | 31422.7 | + | 16199.5i | 1.18547 | + | 0.611153i | ||||
\(890\) | 1501.33 | + | 6188.56i | 0.0565446 | + | 0.233080i | ||||
\(891\) | −1005.19 | − | 402.419i | −0.0377949 | − | 0.0151308i | ||||
\(892\) | −9753.16 | − | 931.314i | −0.366098 | − | 0.0349582i | ||||
\(893\) | −4.92975 | + | 34.2872i | −0.000184734 | + | 0.00128486i | ||||
\(894\) | 17978.3 | − | 14138.3i | 0.672578 | − | 0.528921i | ||||
\(895\) | −24415.9 | − | 15691.2i | −0.911881 | − | 0.586031i | ||||
\(896\) | 20107.8 | + | 23205.7i | 0.749726 | + | 0.865230i | ||||
\(897\) | −3363.81 | + | 1734.17i | −0.125211 | + | 0.0645508i | ||||
\(898\) | −6997.63 | − | 15322.7i | −0.260038 | − | 0.569403i | ||||
\(899\) | −3802.76 | − | 732.922i | −0.141078 | − | 0.0271906i | ||||
\(900\) | 3871.25 | − | 6705.20i | 0.143380 | − | 0.248341i | ||||
\(901\) | −1621.60 | − | 2808.69i | −0.0599592 | − | 0.103852i | ||||
\(902\) | 387.250 | + | 1118.88i | 0.0142949 | + | 0.0413024i | ||||
\(903\) | −5242.78 | − | 4122.97i | −0.193210 | − | 0.151942i | ||||
\(904\) | −8525.44 | + | 8128.99i | −0.313664 | + | 0.299078i | ||||
\(905\) | 3745.94 | − | 3571.75i | 0.137591 | − | 0.131192i | ||||
\(906\) | −12377.3 | − | 9733.59i | −0.453871 | − | 0.356928i | ||||
\(907\) | 6368.08 | + | 18399.4i | 0.233130 | + | 0.673584i | 0.999513 | + | 0.0312006i | \(0.00993306\pi\) |
−0.766383 | + | 0.642383i | \(0.777946\pi\) | |||||||
\(908\) | 17837.4 | + | 30895.3i | 0.651934 | + | 1.12918i | ||||
\(909\) | −3554.99 | + | 6157.43i | −0.129716 | + | 0.224674i | ||||
\(910\) | 6783.88 | + | 1307.49i | 0.247125 | + | 0.0476294i | ||||
\(911\) | −13023.9 | − | 28518.3i | −0.473655 | − | 1.03716i | −0.984160 | − | 0.177285i | \(-0.943269\pi\) |
0.510504 | − | 0.859875i | \(-0.329459\pi\) | |||||||
\(912\) | 685.862 | − | 353.586i | 0.0249026 | − | 0.0128382i | ||||
\(913\) | −5087.20 | − | 5870.95i | −0.184405 | − | 0.212815i | ||||
\(914\) | 15593.6 | + | 10021.4i | 0.564323 | + | 0.362668i | ||||
\(915\) | 5601.46 | − | 4405.03i | 0.202381 | − | 0.159154i | ||||
\(916\) | 3460.67 | − | 24069.5i | 0.124829 | − | 0.868208i | ||||
\(917\) | −22700.7 | − | 2167.66i | −0.817496 | − | 0.0780614i | ||||
\(918\) | −9021.86 | − | 3611.81i | −0.324363 | − | 0.129856i | ||||
\(919\) | 3154.39 | + | 13002.6i | 0.113225 | + | 0.466719i | 0.999990 | + | 0.00449879i | \(0.00143201\pi\) |
−0.886765 | + | 0.462221i | \(0.847053\pi\) | |||||||
\(920\) | 8401.07 | + | 4331.06i | 0.301060 | + | 0.155207i | ||||
\(921\) | −846.643 | + | 17773.2i | −0.0302908 | + | 0.635882i | ||||
\(922\) | 53158.7 | − | 5076.04i | 1.89879 | − | 0.181313i | ||||
\(923\) | 3965.76 | + | 1164.45i | 0.141424 | + | 0.0415259i | ||||
\(924\) | 7441.12 | − | 4782.12i | 0.264930 | − | 0.170260i | ||||
\(925\) | 387.172 | − | 1118.66i | 0.0137623 | − | 0.0397636i | ||||
\(926\) | 56083.4 | − | 10809.2i | 1.99030 | − | 0.383598i | ||||
\(927\) | 5975.33 | + | 8391.18i | 0.211711 | + | 0.297306i | ||||
\(928\) | −35680.1 | + | 14284.2i | −1.26213 | + | 0.505281i | ||||
\(929\) | −38852.9 | + | 11408.2i | −1.37214 | + | 0.402898i | −0.883028 | − | 0.469321i | \(-0.844499\pi\) |
−0.489116 | + | 0.872219i | \(0.662681\pi\) | |||||||
\(930\) | −1412.84 | + | 1630.50i | −0.0498159 | + | 0.0574906i | ||||
\(931\) | 122.021 | − | 502.979i | 0.00429548 | − | 0.0177062i | ||||
\(932\) | −16083.7 | + | 22586.4i | −0.565279 | + | 0.793823i | ||||
\(933\) | 4208.46 | − | 9215.25i | 0.147673 | − | 0.323359i | ||||
\(934\) | −42.4561 | − | 891.264i | −0.00148737 | − | 0.0312238i | ||||
\(935\) | −1070.62 | − | 7446.35i | −0.0374472 | − | 0.260451i | ||||
\(936\) | 959.573 | + | 914.951i | 0.0335092 | + | 0.0319510i | ||||
\(937\) | 30930.7 | 1.07840 | 0.539201 | − | 0.842177i | \(-0.318726\pi\) | ||||
0.539201 | + | 0.842177i | \(0.318726\pi\) | |||||||
\(938\) | 24115.4 | + | 41685.7i | 0.839441 | + | 1.45105i | ||||
\(939\) | 1198.93 | 0.0416672 | ||||||||
\(940\) | −231.895 | − | 221.111i | −0.00804635 | − | 0.00767218i | ||||
\(941\) | −4054.47 | − | 28199.5i | −0.140459 | − | 0.976915i | −0.931134 | − | 0.364678i | \(-0.881179\pi\) |
0.790675 | − | 0.612237i | \(-0.209730\pi\) | |||||||
\(942\) | 1795.00 | + | 37681.7i | 0.0620852 | + | 1.30333i | ||||
\(943\) | 922.513 | − | 2020.02i | 0.0318570 | − | 0.0697571i | ||||
\(944\) | 14679.9 | − | 20615.1i | 0.506134 | − | 0.710766i | ||||
\(945\) | 874.024 | − | 3602.78i | 0.0300868 | − | 0.124019i | ||||
\(946\) | 4194.90 | − | 4841.17i | 0.144173 | − | 0.166385i | ||||
\(947\) | −22821.1 | + | 6700.87i | −0.783089 | + | 0.229936i | −0.648752 | − | 0.761000i | \(-0.724709\pi\) |
−0.134337 | + | 0.990936i | \(0.542890\pi\) | |||||||
\(948\) | 42104.3 | − | 16856.0i | 1.44249 | − | 0.577488i | ||||
\(949\) | −491.194 | − | 689.785i | −0.0168017 | − | 0.0235947i | ||||
\(950\) | 2702.80 | − | 520.921i | 0.0923055 | − | 0.0177904i | ||||
\(951\) | −9736.54 | + | 28131.9i | −0.331997 | + | 0.959242i | ||||
\(952\) | 17893.7 | − | 11499.6i | 0.609177 | − | 0.391495i | ||||
\(953\) | −50446.5 | − | 14812.4i | −1.71472 | − | 0.503486i | −0.730872 | − | 0.682515i | \(-0.760886\pi\) |
−0.983844 | + | 0.179029i | \(0.942704\pi\) | |||||||
\(954\) | 1528.04 | − | 145.910i | 0.0518575 | − | 0.00495179i | ||||
\(955\) | 187.989 | − | 3946.38i | 0.00636984 | − | 0.133719i | ||||
\(956\) | 37295.0 | + | 19226.9i | 1.26172 | + | 0.650463i | ||||
\(957\) | 1506.82 | + | 6211.21i | 0.0508973 | + | 0.209802i | ||||
\(958\) | −83515.6 | − | 33434.6i | −2.81656 | − | 1.12758i | ||||
\(959\) | 25082.3 | + | 2395.07i | 0.844577 | + | 0.0806473i | ||||
\(960\) | −2303.42 | + | 16020.7i | −0.0774402 | + | 0.538609i | ||||
\(961\) | 22953.2 | − | 18050.6i | 0.770474 | − | 0.605907i | ||||
\(962\) | 636.496 | + | 409.051i | 0.0213321 | + | 0.0137093i | ||||
\(963\) | 575.617 | + | 664.297i | 0.0192617 | + | 0.0222291i | ||||
\(964\) | −57052.3 | + | 29412.5i | −1.90615 | + | 0.982689i | ||||
\(965\) | −9432.22 | − | 20653.7i | −0.314647 | − | 0.688980i | ||||
\(966\) | −28216.0 | − | 5438.19i | −0.939788 | − | 0.181129i | ||||
\(967\) | −12927.2 | + | 22390.5i | −0.429896 | + | 0.744602i | −0.996864 | − | 0.0791384i | \(-0.974783\pi\) |
0.566968 | + | 0.823740i | \(0.308116\pi\) | |||||||
\(968\) | −7339.07 | − | 12711.6i | −0.243685 | − | 0.422074i | ||||
\(969\) | −652.378 | − | 1884.92i | −0.0216279 | − | 0.0624896i | ||||
\(970\) | −1573.42 | − | 1237.35i | −0.0520819 | − | 0.0409577i | ||||
\(971\) | −20220.3 | + | 19280.1i | −0.668282 | + | 0.637205i | −0.946269 | − | 0.323379i | \(-0.895181\pi\) |
0.277988 | + | 0.960585i | \(0.410333\pi\) | |||||||
\(972\) | 1921.85 | − | 1832.48i | 0.0634192 | − | 0.0604701i | ||||
\(973\) | 21695.0 | + | 17061.1i | 0.714809 | + | 0.562132i | ||||
\(974\) | −3230.30 | − | 9333.34i | −0.106269 | − | 0.307043i | ||||
\(975\) | −1365.69 | − | 2365.44i | −0.0448585 | − | 0.0776972i | ||||
\(976\) | 5587.70 | − | 9678.18i | 0.183256 | − | 0.317409i | ||||
\(977\) | −5464.86 | − | 1053.26i | −0.178952 | − | 0.0344902i | 0.0989878 | − | 0.995089i | \(-0.468440\pi\) |
−0.277940 | + | 0.960598i | \(0.589652\pi\) | |||||||
\(978\) | 10852.6 | + | 23763.8i | 0.354833 | + | 0.776976i | ||||
\(979\) | 2556.48 | − | 1317.96i | 0.0834581 | − | 0.0430256i | ||||
\(980\) | 3135.12 | + | 3618.12i | 0.102192 | + | 0.117935i | ||||
\(981\) | −439.221 | − | 282.270i | −0.0142949 | − | 0.00918674i | ||||
\(982\) | −33771.0 | + | 26557.8i | −1.09743 | + | 0.863027i | ||||
\(983\) | −3094.86 | + | 21525.2i | −0.100418 | + | 0.698421i | 0.875965 | + | 0.482374i | \(0.160226\pi\) |
−0.976383 | + | 0.216047i | \(0.930684\pi\) | |||||||
\(984\) | −774.476 | − | 73.9535i | −0.0250909 | − | 0.00239589i | ||||
\(985\) | −284.334 | − | 113.830i | −0.00919760 | − | 0.00368217i | ||||
\(986\) | 13524.1 | + | 55747.2i | 0.436811 | + | 1.80056i | ||||
\(987\) | 231.979 | + | 119.594i | 0.00748124 | + | 0.00385685i | ||||
\(988\) | −48.3294 | + | 1014.56i | −0.00155624 | + | 0.0326695i | ||||
\(989\) | −11960.2 | + | 1142.06i | −0.384543 | + | 0.0367194i | ||||
\(990\) | 3416.33 | + | 1003.13i | 0.109675 | + | 0.0322035i | ||||
\(991\) | −39688.3 | + | 25506.1i | −1.27219 | + | 0.817587i | −0.989903 | − | 0.141743i | \(-0.954729\pi\) |
−0.282287 | + | 0.959330i | \(0.591093\pi\) | |||||||
\(992\) | −1916.49 | + | 5537.33i | −0.0613392 | + | 0.177228i | ||||
\(993\) | −14067.5 | + | 2711.29i | −0.449565 | + | 0.0866466i | ||||
\(994\) | 18203.7 | + | 25563.5i | 0.580872 | + | 0.815721i | ||||
\(995\) | −13639.9 | + | 5460.60i | −0.434588 | + | 0.173983i | ||||
\(996\) | 18280.3 | − | 5367.58i | 0.581560 | − | 0.170761i | ||||
\(997\) | 13375.9 | − | 15436.6i | 0.424893 | − | 0.490352i | −0.502429 | − | 0.864619i | \(-0.667560\pi\) |
0.927321 | + | 0.374266i | \(0.122105\pi\) | |||||||
\(998\) | −6344.68 | + | 26153.1i | −0.201240 | + | 0.829522i | ||||
\(999\) | 235.503 | − | 330.718i | 0.00745844 | − | 0.0104739i |
(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.m.a.10.3 | ✓ | 320 | |
67.47 | even | 33 | inner | 201.4.m.a.181.3 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.4.m.a.10.3 | ✓ | 320 | 1.1 | even | 1 | trivial | |
201.4.m.a.181.3 | yes | 320 | 67.47 | even | 33 | inner |