Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [189,3,Mod(10,189)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(189, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("189.10");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 189 = 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 189.k (of order \(6\), degree \(2\), not 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: | \(5.14987699641\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{6})\) |
Twist minimal: | no (minimal twist has level 63) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 19.1 | ||
Character | \(\chi\) | \(=\) | 189.19 |
Dual form | 189.3.k.a.10.1 |
$q$-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 \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(136\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.91801 | − | 3.32210i | −0.959007 | − | 1.66105i | −0.724920 | − | 0.688833i | \(-0.758123\pi\) |
−0.234087 | − | 0.972216i | \(-0.575210\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −5.35756 | + | 9.27956i | −1.33939 | + | 2.31989i | ||||
\(5\) | − | 0.216546i | − | 0.0433092i | −0.999766 | − | 0.0216546i | \(-0.993107\pi\) | ||
0.999766 | − | 0.0216546i | \(-0.00689340\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 6.73498 | + | 1.90790i | 0.962140 | + | 0.272557i | ||||
\(8\) | 25.7594 | 3.21992 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.719386 | + | 0.415338i | −0.0719386 | + | 0.0415338i | ||||
\(11\) | −4.44949 | −0.404499 | −0.202250 | − | 0.979334i | \(-0.564825\pi\) | ||||
−0.202250 | + | 0.979334i | \(0.564825\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 14.9299 | − | 8.61978i | 1.14845 | − | 0.663060i | 0.199944 | − | 0.979807i | \(-0.435924\pi\) |
0.948510 | + | 0.316747i | \(0.102591\pi\) | |||||||
\(14\) | −6.57956 | − | 26.0336i | −0.469969 | − | 1.85954i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −27.9766 | − | 48.4569i | −1.74854 | − | 3.02856i | ||||
\(17\) | 4.66285 | − | 2.69210i | 0.274285 | − | 0.158359i | −0.356548 | − | 0.934277i | \(-0.616046\pi\) |
0.630834 | + | 0.775918i | \(0.282713\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −6.88143 | − | 3.97300i | −0.362181 | − | 0.209105i | 0.307856 | − | 0.951433i | \(-0.400388\pi\) |
−0.670037 | + | 0.742328i | \(0.733722\pi\) | |||||||
\(20\) | 2.00945 | + | 1.16016i | 0.100472 | + | 0.0580078i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 8.53419 | + | 14.7817i | 0.387918 | + | 0.671893i | ||||
\(23\) | 19.0646 | 0.828897 | 0.414449 | − | 0.910073i | \(-0.363974\pi\) | ||||
0.414449 | + | 0.910073i | \(0.363974\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 24.9531 | 0.998124 | ||||||||
\(26\) | −57.2715 | − | 33.0657i | −2.20275 | − | 1.27176i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −53.7875 | + | 52.2760i | −1.92098 | + | 1.86700i | ||||
\(29\) | −3.57302 | + | 6.18865i | −0.123208 | + | 0.213402i | −0.921031 | − | 0.389490i | \(-0.872651\pi\) |
0.797823 | + | 0.602891i | \(0.205985\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −20.0333 | − | 11.5662i | −0.646236 | − | 0.373104i | 0.140777 | − | 0.990041i | \(-0.455040\pi\) |
−0.787013 | + | 0.616937i | \(0.788373\pi\) | |||||||
\(32\) | −55.8003 | + | 96.6489i | −1.74376 | + | 3.02028i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −17.8868 | − | 10.3270i | −0.526083 | − | 0.303734i | ||||
\(35\) | 0.413147 | − | 1.45843i | 0.0118042 | − | 0.0416695i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.16805 | − | 8.95133i | 0.139677 | − | 0.241928i | −0.787697 | − | 0.616062i | \(-0.788727\pi\) |
0.927374 | + | 0.374135i | \(0.122060\pi\) | |||||||
\(38\) | 30.4811i | 0.802133i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | − | 5.57808i | − | 0.139452i | ||||||
\(41\) | −3.32321 | + | 1.91866i | −0.0810540 | + | 0.0467965i | −0.539979 | − | 0.841678i | \(-0.681568\pi\) |
0.458925 | + | 0.888475i | \(0.348235\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 30.1335 | − | 52.1928i | 0.700779 | − | 1.21379i | −0.267414 | − | 0.963582i | \(-0.586169\pi\) |
0.968193 | − | 0.250204i | \(-0.0804976\pi\) | |||||||
\(44\) | 23.8384 | − | 41.2893i | 0.541782 | − | 0.938394i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −36.5662 | − | 63.3346i | −0.794918 | − | 1.37684i | ||||
\(47\) | 42.4184 | − | 24.4902i | 0.902518 | − | 0.521069i | 0.0245019 | − | 0.999700i | \(-0.492200\pi\) |
0.878016 | + | 0.478631i | \(0.158867\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 41.7199 | + | 25.6993i | 0.851426 | + | 0.524475i | ||||
\(50\) | −47.8604 | − | 82.8967i | −0.957208 | − | 1.65793i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 184.724i | 3.55238i | ||||||||
\(53\) | −25.0404 | − | 43.3713i | −0.472461 | − | 0.818326i | 0.527043 | − | 0.849839i | \(-0.323301\pi\) |
−0.999503 | + | 0.0315128i | \(0.989967\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.963519i | 0.0175185i | ||||||||
\(56\) | 173.489 | + | 49.1462i | 3.09801 | + | 0.877611i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 27.4124 | 0.472628 | ||||||||
\(59\) | 75.2337 | + | 43.4362i | 1.27515 | + | 0.736207i | 0.975952 | − | 0.217985i | \(-0.0699484\pi\) |
0.299196 | + | 0.954192i | \(0.403282\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 35.6207 | − | 20.5656i | 0.583946 | − | 0.337141i | −0.178754 | − | 0.983894i | \(-0.557207\pi\) |
0.762700 | + | 0.646752i | \(0.223873\pi\) | |||||||
\(62\) | 88.7368i | 1.43124i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 204.290 | 3.19203 | ||||||||
\(65\) | −1.86658 | − | 3.23301i | −0.0287166 | − | 0.0497386i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −32.1806 | + | 55.7384i | −0.480307 | + | 0.831916i | −0.999745 | − | 0.0225922i | \(-0.992808\pi\) |
0.519438 | + | 0.854508i | \(0.326141\pi\) | |||||||
\(68\) | 57.6923i | 0.848416i | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −5.63747 | + | 1.42478i | −0.0805353 | + | 0.0203540i | ||||
\(71\) | 11.8036 | 0.166247 | 0.0831237 | − | 0.996539i | \(-0.473510\pi\) | ||||
0.0831237 | + | 0.996539i | \(0.473510\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −27.7422 | + | 16.0170i | −0.380030 | + | 0.219411i | −0.677831 | − | 0.735217i | \(-0.737080\pi\) |
0.297801 | + | 0.954628i | \(0.403747\pi\) | |||||||
\(74\) | −39.6496 | −0.535805 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 73.7353 | − | 42.5711i | 0.970202 | − | 0.560146i | ||||
\(77\) | −29.9672 | − | 8.48917i | −0.389185 | − | 0.110249i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −7.26004 | − | 12.5748i | −0.0918992 | − | 0.159174i | 0.816411 | − | 0.577471i | \(-0.195960\pi\) |
−0.908310 | + | 0.418297i | \(0.862627\pi\) | |||||||
\(80\) | −10.4931 | + | 6.05821i | −0.131164 | + | 0.0757277i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 12.7479 | + | 7.36003i | 0.155463 | + | 0.0897564i | ||||
\(83\) | −94.9566 | − | 54.8232i | −1.14406 | − | 0.660521i | −0.196624 | − | 0.980479i | \(-0.562998\pi\) |
−0.947432 | + | 0.319958i | \(0.896331\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.582963 | − | 1.00972i | −0.00685839 | − | 0.0118791i | ||||
\(86\) | −231.186 | −2.68821 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −114.616 | −1.30246 | ||||||||
\(89\) | 111.515 | + | 64.3830i | 1.25297 | + | 0.723405i | 0.971699 | − | 0.236222i | \(-0.0759094\pi\) |
0.281275 | + | 0.959627i | \(0.409243\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 116.998 | − | 29.5693i | 1.28569 | − | 0.324938i | ||||
\(92\) | −102.140 | + | 176.911i | −1.11022 | + | 1.92295i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −162.718 | − | 93.9453i | −1.73104 | − | 0.999418i | ||||
\(95\) | −0.860336 | + | 1.49015i | −0.00905616 | + | 0.0156857i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 63.3289 | + | 36.5629i | 0.652875 | + | 0.376938i | 0.789557 | − | 0.613677i | \(-0.210310\pi\) |
−0.136682 | + | 0.990615i | \(0.543644\pi\) | |||||||
\(98\) | 5.35626 | − | 187.889i | 0.0546557 | − | 1.91724i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −133.688 | + | 231.554i | −1.33688 | + | 2.31554i | ||||
\(101\) | 8.68191i | 0.0859595i | 0.999076 | + | 0.0429797i | \(0.0136851\pi\) | ||||
−0.999076 | + | 0.0429797i | \(0.986315\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 121.454i | 1.17917i | 0.807708 | + | 0.589583i | \(0.200708\pi\) | ||||
−0.807708 | + | 0.589583i | \(0.799292\pi\) | |||||||
\(104\) | 384.585 | − | 222.040i | 3.69793 | − | 2.13500i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −96.0558 | + | 166.373i | −0.906186 | + | 1.56956i | ||||
\(107\) | −94.5629 | + | 163.788i | −0.883766 | + | 1.53073i | −0.0366442 | + | 0.999328i | \(0.511667\pi\) |
−0.847122 | + | 0.531399i | \(0.821667\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −58.4112 | − | 101.171i | −0.535883 | − | 0.928176i | −0.999120 | − | 0.0419419i | \(-0.986646\pi\) |
0.463237 | − | 0.886234i | \(-0.346688\pi\) | |||||||
\(110\) | 3.20090 | − | 1.84804i | 0.0290991 | − | 0.0168004i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −95.9710 | − | 379.732i | −0.856884 | − | 3.39047i | ||||
\(113\) | −0.633432 | − | 1.09714i | −0.00560559 | − | 0.00970917i | 0.863209 | − | 0.504847i | \(-0.168451\pi\) |
−0.868815 | + | 0.495138i | \(0.835118\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | − | 4.12837i | − | 0.0358988i | ||||||
\(116\) | −38.2853 | − | 66.3121i | −0.330046 | − | 0.571656i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 333.245i | − | 2.82411i | ||||||
\(119\) | 36.5405 | − | 9.23499i | 0.307063 | − | 0.0776050i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −101.202 | −0.836380 | ||||||||
\(122\) | −136.642 | − | 78.8903i | −1.12002 | − | 0.646642i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 214.659 | − | 123.934i | 1.73112 | − | 0.999464i | ||||
\(125\) | − | 10.8171i | − | 0.0865371i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −92.8864 | −0.731389 | −0.365694 | − | 0.930735i | \(-0.619168\pi\) | ||||
−0.365694 | + | 0.930735i | \(0.619168\pi\) | |||||||
\(128\) | −168.630 | − | 292.076i | −1.31742 | − | 2.28185i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −7.16025 | + | 12.4019i | −0.0550788 | + | 0.0953993i | ||||
\(131\) | 174.694i | 1.33354i | 0.745264 | + | 0.666769i | \(0.232323\pi\) | ||||
−0.745264 | + | 0.666769i | \(0.767677\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −38.7662 | − | 39.8871i | −0.291475 | − | 0.299903i | ||||
\(134\) | 246.891 | 1.84247 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 120.112 | − | 69.3468i | 0.883177 | − | 0.509903i | ||||
\(137\) | −24.0716 | −0.175705 | −0.0878527 | − | 0.996133i | \(-0.528000\pi\) | ||||
−0.0878527 | + | 0.996133i | \(0.528000\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −153.847 | + | 88.8239i | −1.10682 | + | 0.639021i | −0.938003 | − | 0.346627i | \(-0.887327\pi\) |
−0.168814 | + | 0.985648i | \(0.553994\pi\) | |||||||
\(140\) | 11.3201 | + | 11.6474i | 0.0808581 | + | 0.0831961i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −22.6394 | − | 39.2126i | −0.159432 | − | 0.276145i | ||||
\(143\) | −66.4305 | + | 38.3537i | −0.464549 | + | 0.268207i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.34013 | + | 0.773722i | 0.00924225 | + | 0.00533601i | ||||
\(146\) | 106.420 | + | 61.4416i | 0.728904 | + | 0.420833i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 55.3763 | + | 95.9145i | 0.374164 | + | 0.648071i | ||||
\(149\) | 102.143 | 0.685521 | 0.342760 | − | 0.939423i | \(-0.388638\pi\) | ||||
0.342760 | + | 0.939423i | \(0.388638\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −133.141 | −0.881730 | −0.440865 | − | 0.897573i | \(-0.645328\pi\) | ||||
−0.440865 | + | 0.897573i | \(0.645328\pi\) | |||||||
\(152\) | −177.261 | − | 102.342i | −1.16619 | − | 0.673302i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 29.2757 | + | 115.836i | 0.190102 | + | 0.752185i | ||||
\(155\) | −2.50462 | + | 4.33813i | −0.0161588 | + | 0.0279879i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 87.6068 | + | 50.5798i | 0.558005 | + | 0.322164i | 0.752344 | − | 0.658770i | \(-0.228923\pi\) |
−0.194339 | + | 0.980934i | \(0.562256\pi\) | |||||||
\(158\) | −27.8497 | + | 48.2371i | −0.176264 | + | 0.305298i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 20.9289 | + | 12.0833i | 0.130806 | + | 0.0755207i | ||||
\(161\) | 128.400 | + | 36.3734i | 0.797515 | + | 0.225921i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −83.7340 | + | 145.032i | −0.513706 | + | 0.889764i | 0.486168 | + | 0.873865i | \(0.338394\pi\) |
−0.999874 | + | 0.0158987i | \(0.994939\pi\) | |||||||
\(164\) | − | 41.1173i | − | 0.250715i | ||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 420.607i | 2.53378i | ||||||||
\(167\) | −103.598 | + | 59.8122i | −0.620346 | + | 0.358157i | −0.777004 | − | 0.629496i | \(-0.783261\pi\) |
0.156657 | + | 0.987653i | \(0.449928\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 64.1014 | − | 111.027i | 0.379298 | − | 0.656963i | ||||
\(170\) | −2.23626 | + | 3.87332i | −0.0131545 | + | 0.0227842i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 322.884 | + | 559.252i | 1.87723 | + | 3.25146i | ||||
\(173\) | 190.599 | − | 110.043i | 1.10173 | − | 0.636084i | 0.165055 | − | 0.986284i | \(-0.447220\pi\) |
0.936675 | + | 0.350200i | \(0.113886\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 168.059 | + | 47.6080i | 0.960335 | + | 0.272045i | ||||
\(176\) | 124.482 | + | 215.609i | 0.707282 | + | 1.22505i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | − | 493.950i | − | 2.77500i | ||||||
\(179\) | −81.8994 | − | 141.854i | −0.457538 | − | 0.792480i | 0.541292 | − | 0.840835i | \(-0.317935\pi\) |
−0.998830 | + | 0.0483550i | \(0.984602\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 152.286i | − | 0.841359i | −0.907209 | − | 0.420680i | \(-0.861792\pi\) | ||
0.907209 | − | 0.420680i | \(-0.138208\pi\) | |||||||
\(182\) | −322.637 | − | 331.965i | −1.77273 | − | 1.82398i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 491.093 | 2.66898 | ||||||||
\(185\) | −1.93837 | − | 1.11912i | −0.0104777 | − | 0.00604930i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −20.7473 | + | 11.9785i | −0.110948 | + | 0.0640560i | ||||
\(188\) | 524.832i | 2.79166i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 6.60054 | 0.0347397 | ||||||||
\(191\) | 6.15506 | + | 10.6609i | 0.0322254 | + | 0.0558161i | 0.881688 | − | 0.471832i | \(-0.156407\pi\) |
−0.849463 | + | 0.527648i | \(0.823074\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 134.599 | − | 233.132i | 0.697402 | − | 1.20794i | −0.271963 | − | 0.962308i | \(-0.587673\pi\) |
0.969364 | − | 0.245627i | \(-0.0789940\pi\) | |||||||
\(194\) | − | 280.513i | − | 1.44594i | ||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −461.995 | + | 249.457i | −2.35712 | + | 1.27274i | ||||
\(197\) | −302.183 | −1.53392 | −0.766962 | − | 0.641692i | \(-0.778233\pi\) | ||||
−0.766962 | + | 0.641692i | \(0.778233\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −83.0117 | + | 47.9268i | −0.417144 | + | 0.240838i | −0.693855 | − | 0.720115i | \(-0.744089\pi\) |
0.276710 | + | 0.960953i | \(0.410756\pi\) | |||||||
\(200\) | 642.776 | 3.21388 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 28.8421 | − | 16.6520i | 0.142783 | − | 0.0824358i | ||||
\(203\) | −35.8715 | + | 34.8635i | −0.176707 | + | 0.171741i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.415477 | + | 0.719628i | 0.00202672 | + | 0.00351038i | ||||
\(206\) | 403.482 | − | 232.951i | 1.95865 | − | 1.13083i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −835.376 | − | 482.304i | −4.01623 | − | 2.31877i | ||||
\(209\) | 30.6189 | + | 17.6778i | 0.146502 | + | 0.0845829i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −45.2108 | − | 78.3074i | −0.214269 | − | 0.371125i | 0.738777 | − | 0.673950i | \(-0.235404\pi\) |
−0.953046 | + | 0.302825i | \(0.902070\pi\) | |||||||
\(212\) | 536.622 | 2.53124 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 725.492 | 3.39015 | ||||||||
\(215\) | −11.3021 | − | 6.52529i | −0.0525680 | − | 0.0303502i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −112.857 | − | 116.120i | −0.520077 | − | 0.535115i | ||||
\(218\) | −224.067 | + | 388.096i | −1.02783 | + | 1.78026i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −8.94103 | − | 5.16211i | −0.0406410 | − | 0.0234641i | ||||
\(221\) | 46.4106 | − | 80.3856i | 0.210003 | − | 0.363736i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 204.519 | + | 118.079i | 0.917128 | + | 0.529504i | 0.882718 | − | 0.469904i | \(-0.155711\pi\) |
0.0344100 | + | 0.999408i | \(0.489045\pi\) | |||||||
\(224\) | −560.210 | + | 544.467i | −2.50094 | + | 2.43066i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.42986 | + | 4.20865i | −0.0107516 | + | 0.0186223i | ||||
\(227\) | − | 88.9796i | − | 0.391981i | −0.980606 | − | 0.195990i | \(-0.937208\pi\) | ||
0.980606 | − | 0.195990i | \(-0.0627921\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 49.5079i | − | 0.216192i | −0.994140 | − | 0.108096i | \(-0.965525\pi\) | ||
0.994140 | − | 0.108096i | \(-0.0344753\pi\) | |||||||
\(230\) | −13.7148 | + | 7.91826i | −0.0596297 | + | 0.0344272i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −92.0387 | + | 159.416i | −0.396718 | + | 0.687136i | ||||
\(233\) | 65.4443 | − | 113.353i | 0.280877 | − | 0.486493i | −0.690724 | − | 0.723119i | \(-0.742708\pi\) |
0.971601 | + | 0.236625i | \(0.0760414\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.30326 | − | 9.18552i | −0.0225671 | − | 0.0390873i | ||||
\(236\) | −806.138 | + | 465.424i | −3.41584 | + | 1.97213i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −100.765 | − | 103.678i | −0.423381 | − | 0.435622i | ||||
\(239\) | 25.0661 | + | 43.4158i | 0.104879 | + | 0.181656i | 0.913689 | − | 0.406415i | \(-0.133221\pi\) |
−0.808810 | + | 0.588070i | \(0.799888\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 297.883i | 1.23603i | 0.786166 | + | 0.618015i | \(0.212063\pi\) | ||||
−0.786166 | + | 0.618015i | \(0.787937\pi\) | |||||||
\(242\) | 194.107 | + | 336.203i | 0.802095 | + | 1.38927i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 440.726i | 1.80625i | ||||||||
\(245\) | 5.56507 | − | 9.03426i | 0.0227146 | − | 0.0368745i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −136.985 | −0.554597 | ||||||||
\(248\) | −516.045 | − | 297.939i | −2.08083 | − | 1.20137i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −35.9356 | + | 20.7474i | −0.143742 | + | 0.0829897i | ||||
\(251\) | − | 450.825i | − | 1.79612i | −0.439876 | − | 0.898059i | \(-0.644978\pi\) | ||
0.439876 | − | 0.898059i | \(-0.355022\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −84.8280 | −0.335288 | ||||||||
\(254\) | 178.157 | + | 308.578i | 0.701407 | + | 1.21487i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −238.290 | + | 412.731i | −0.930821 | + | 1.61223i | ||||
\(257\) | − | 413.145i | − | 1.60757i | −0.594922 | − | 0.803784i | \(-0.702817\pi\) | ||
0.594922 | − | 0.803784i | \(-0.297183\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 51.8849 | − | 50.4269i | 0.200328 | − | 0.194698i | ||||
\(260\) | 40.0012 | 0.153851 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 580.349 | − | 335.065i | 2.21507 | − | 1.27887i | ||||
\(263\) | −448.072 | −1.70370 | −0.851848 | − | 0.523789i | \(-0.824518\pi\) | ||||
−0.851848 | + | 0.523789i | \(0.824518\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −9.39187 | + | 5.42240i | −0.0354410 | + | 0.0204619i | ||||
\(266\) | −58.1547 | + | 205.289i | −0.218627 | + | 0.771764i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −344.818 | − | 597.243i | −1.28664 | − | 2.22852i | ||||
\(269\) | −438.590 | + | 253.220i | −1.63044 | + | 0.941338i | −0.646489 | + | 0.762923i | \(0.723763\pi\) |
−0.983955 | + | 0.178414i | \(0.942903\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 313.473 | + | 180.984i | 1.15673 | + | 0.667837i | 0.950518 | − | 0.310671i | \(-0.100554\pi\) |
0.206210 | + | 0.978508i | \(0.433887\pi\) | |||||||
\(272\) | −260.902 | − | 150.632i | −0.959197 | − | 0.553792i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 46.1698 | + | 79.9684i | 0.168503 | + | 0.291855i | ||||
\(275\) | −111.029 | −0.403741 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −85.4610 | −0.308523 | −0.154262 | − | 0.988030i | \(-0.549300\pi\) | ||||
−0.154262 | + | 0.988030i | \(0.549300\pi\) | |||||||
\(278\) | 590.163 | + | 340.731i | 2.12289 | + | 1.22565i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 10.6424 | − | 37.5683i | 0.0380086 | − | 0.134172i | ||||
\(281\) | 100.522 | − | 174.109i | 0.357729 | − | 0.619605i | −0.629852 | − | 0.776715i | \(-0.716884\pi\) |
0.987581 | + | 0.157110i | \(0.0502177\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −40.7414 | − | 23.5220i | −0.143962 | − | 0.0831168i | 0.426289 | − | 0.904587i | \(-0.359821\pi\) |
−0.570251 | + | 0.821470i | \(0.693154\pi\) | |||||||
\(284\) | −63.2383 | + | 109.532i | −0.222670 | + | 0.385676i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 254.829 | + | 147.126i | 0.891011 | + | 0.514426i | ||||
\(287\) | −26.0424 | + | 6.58177i | −0.0907400 | + | 0.0229330i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −130.005 | + | 225.176i | −0.449845 | + | 0.779154i | ||||
\(290\) | − | 5.93604i | − | 0.0204691i | ||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | − | 343.247i | − | 1.17550i | ||||||
\(293\) | 418.946 | − | 241.878i | 1.42985 | − | 0.825524i | 0.432741 | − | 0.901518i | \(-0.357546\pi\) |
0.997108 | + | 0.0759945i | \(0.0242132\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.40593 | − | 16.2915i | 0.0318845 | − | 0.0552256i | ||||
\(296\) | 133.126 | − | 230.581i | 0.449749 | − | 0.778988i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −195.911 | − | 339.328i | −0.657419 | − | 1.13868i | ||||
\(299\) | 284.633 | − | 164.333i | 0.951950 | − | 0.549609i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 302.527 | − | 294.026i | 1.00507 | − | 0.976829i | ||||
\(302\) | 255.367 | + | 442.308i | 0.845585 | + | 1.46460i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 444.604i | 1.46251i | ||||||||
\(305\) | −4.45340 | − | 7.71351i | −0.0146013 | − | 0.0252902i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 53.9925i | 0.175871i | 0.996126 | + | 0.0879356i | \(0.0280270\pi\) | ||||
−0.996126 | + | 0.0879356i | \(0.971973\pi\) | |||||||
\(308\) | 239.327 | − | 232.602i | 0.777035 | − | 0.755200i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 19.2156 | 0.0619858 | ||||||||
\(311\) | −128.833 | − | 74.3816i | −0.414253 | − | 0.239169i | 0.278362 | − | 0.960476i | \(-0.410208\pi\) |
−0.692616 | + | 0.721307i | \(0.743542\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −379.730 | + | 219.237i | −1.21320 | + | 0.700439i | −0.963454 | − | 0.267873i | \(-0.913679\pi\) |
−0.249742 | + | 0.968312i | \(0.580346\pi\) | |||||||
\(314\) | − | 388.051i | − | 1.23583i | ||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 155.584 | 0.492355 | ||||||||
\(317\) | 175.901 | + | 304.669i | 0.554893 | + | 0.961102i | 0.997912 | + | 0.0645901i | \(0.0205740\pi\) |
−0.443019 | + | 0.896512i | \(0.646093\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 15.8981 | − | 27.5363i | 0.0498374 | − | 0.0863208i | ||||
\(320\) | − | 44.2382i | − | 0.138244i | ||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −125.437 | − | 496.322i | −0.389556 | − | 1.54137i | ||||
\(323\) | −42.7828 | −0.132455 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 372.548 | − | 215.090i | 1.14630 | − | 0.661817i | ||||
\(326\) | 642.412 | 1.97059 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −85.6038 | + | 49.4234i | −0.260987 | + | 0.150681i | ||||
\(329\) | 332.412 | − | 84.0115i | 1.01037 | − | 0.255354i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −11.4830 | − | 19.8891i | −0.0346918 | − | 0.0600879i | 0.848158 | − | 0.529743i | \(-0.177712\pi\) |
−0.882850 | + | 0.469655i | \(0.844378\pi\) | |||||||
\(332\) | 1017.47 | − | 587.437i | 3.06467 | − | 1.76939i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 397.404 | + | 229.441i | 1.18983 | + | 0.686950i | ||||
\(335\) | 12.0699 | + | 6.96857i | 0.0360296 | + | 0.0208017i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −27.9036 | − | 48.3305i | −0.0828000 | − | 0.143414i | 0.821652 | − | 0.569990i | \(-0.193053\pi\) |
−0.904452 | + | 0.426576i | \(0.859720\pi\) | |||||||
\(338\) | −491.789 | −1.45500 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 12.4930 | 0.0367442 | ||||||||
\(341\) | 89.1381 | + | 51.4639i | 0.261402 | + | 0.150921i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 231.951 | + | 252.681i | 0.676241 | + | 0.736680i | ||||
\(344\) | 776.220 | − | 1344.45i | 2.25645 | − | 3.90829i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −731.144 | − | 422.126i | −2.11313 | − | 1.22002i | ||||
\(347\) | −27.5470 | + | 47.7128i | −0.0793862 | + | 0.137501i | −0.902985 | − | 0.429672i | \(-0.858629\pi\) |
0.823599 | + | 0.567172i | \(0.191963\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −253.798 | − | 146.530i | −0.727213 | − | 0.419857i | 0.0901884 | − | 0.995925i | \(-0.471253\pi\) |
−0.817402 | + | 0.576068i | \(0.804586\pi\) | |||||||
\(350\) | −164.181 | − | 649.620i | −0.469087 | − | 1.85606i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 248.283 | − | 430.039i | 0.705349 | − | 1.22170i | ||||
\(353\) | 189.862i | 0.537852i | 0.963161 | + | 0.268926i | \(0.0866687\pi\) | ||||
−0.963161 | + | 0.268926i | \(0.913331\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | − | 2.55601i | − | 0.00720004i | ||||||
\(356\) | −1194.89 | + | 689.871i | −3.35644 | + | 1.93784i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −314.168 | + | 544.156i | −0.877565 | + | 1.51999i | ||||
\(359\) | −203.897 | + | 353.160i | −0.567959 | + | 0.983734i | 0.428809 | + | 0.903395i | \(0.358933\pi\) |
−0.996768 | + | 0.0803384i | \(0.974400\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −148.931 | − | 257.955i | −0.412550 | − | 0.714558i | ||||
\(362\) | −505.909 | + | 292.087i | −1.39754 | + | 0.806869i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −352.434 | + | 1244.11i | −0.968226 | + | 3.41789i | ||||
\(365\) | 3.46841 | + | 6.00746i | 0.00950249 | + | 0.0164588i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 418.942i | 1.14153i | 0.821113 | + | 0.570765i | \(0.193353\pi\) | ||||
−0.821113 | + | 0.570765i | \(0.806647\pi\) | |||||||
\(368\) | −533.364 | − | 923.813i | −1.44936 | − | 2.51036i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 8.58595i | 0.0232053i | ||||||||
\(371\) | −85.8988 | − | 339.879i | −0.231533 | − | 0.916116i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −322.093 | −0.863520 | −0.431760 | − | 0.901989i | \(-0.642107\pi\) | ||||
−0.431760 | + | 0.901989i | \(0.642107\pi\) | |||||||
\(374\) | 79.5873 | + | 45.9498i | 0.212800 | + | 0.122860i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1092.67 | − | 630.853i | 2.90604 | − | 1.67780i | ||||
\(377\) | 123.195i | 0.326776i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −191.824 | −0.506131 | −0.253066 | − | 0.967449i | \(-0.581439\pi\) | ||||
−0.253066 | + | 0.967449i | \(0.581439\pi\) | |||||||
\(380\) | −9.21859 | − | 15.9671i | −0.0242595 | − | 0.0420186i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 23.6110 | − | 40.8954i | 0.0618088 | − | 0.107056i | ||||
\(383\) | 653.441i | 1.70611i | 0.521819 | + | 0.853056i | \(0.325254\pi\) | ||||
−0.521819 | + | 0.853056i | \(0.674746\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.83829 | + | 6.48928i | −0.00477479 | + | 0.0168553i | ||||
\(386\) | −1032.65 | −2.67525 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −678.576 | + | 391.776i | −1.74891 | + | 1.00973i | ||||
\(389\) | −358.510 | −0.921620 | −0.460810 | − | 0.887499i | \(-0.652441\pi\) | ||||
−0.460810 | + | 0.887499i | \(0.652441\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 88.8956 | − | 51.3239i | 0.227354 | − | 0.131263i | ||||
\(392\) | 1074.68 | + | 661.997i | 2.74152 | + | 1.68877i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 579.591 | + | 1003.88i | 1.47104 | + | 2.54792i | ||||
\(395\) | −2.72301 | + | 1.57213i | −0.00689369 | + | 0.00398008i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 357.921 | + | 206.646i | 0.901564 | + | 0.520518i | 0.877707 | − | 0.479197i | \(-0.159072\pi\) |
0.0238567 | + | 0.999715i | \(0.492405\pi\) | |||||||
\(398\) | 318.435 | + | 183.849i | 0.800089 | + | 0.461931i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −698.103 | − | 1209.15i | −1.74526 | − | 3.02287i | ||||
\(401\) | 142.265 | 0.354775 | 0.177387 | − | 0.984141i | \(-0.443235\pi\) | ||||
0.177387 | + | 0.984141i | \(0.443235\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −398.794 | −0.989563 | ||||||||
\(404\) | −80.5643 | − | 46.5138i | −0.199417 | − | 0.115133i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 184.622 | + | 52.3000i | 0.454734 | + | 0.128818i | ||||
\(407\) | −22.9952 | + | 39.8289i | −0.0564993 | + | 0.0978596i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −67.1314 | − | 38.7583i | −0.164135 | − | 0.0947636i | 0.415682 | − | 0.909510i | \(-0.363543\pi\) |
−0.579818 | + | 0.814746i | \(0.696876\pi\) | |||||||
\(410\) | 1.59378 | − | 2.76051i | 0.00388727 | − | 0.00673296i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −1127.04 | − | 650.697i | −2.73553 | − | 1.57936i | ||||
\(413\) | 423.826 | + | 436.080i | 1.02621 | + | 1.05588i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −11.8717 | + | 20.5624i | −0.0286066 | + | 0.0495481i | ||||
\(416\) | 1923.95i | 4.62487i | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | − | 135.625i | − | 0.324462i | ||||||
\(419\) | −579.375 | + | 334.502i | −1.38276 | + | 0.798335i | −0.992485 | − | 0.122364i | \(-0.960952\pi\) |
−0.390272 | + | 0.920700i | \(0.627619\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 224.704 | − | 389.199i | 0.533738 | − | 0.924462i | −0.465485 | − | 0.885056i | \(-0.654120\pi\) |
0.999223 | − | 0.0394062i | \(-0.0125466\pi\) | |||||||
\(422\) | −173.430 | + | 300.390i | −0.410972 | + | 0.711824i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −645.025 | − | 1117.22i | −1.52129 | − | 2.63494i | ||||
\(425\) | 116.353 | − | 67.1763i | 0.273771 | − | 0.158062i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 279.142 | − | 70.5484i | 0.653728 | − | 0.165219i | ||||
\(428\) | −1013.25 | − | 1755.01i | −2.36741 | − | 4.10048i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 50.0624i | 0.116424i | ||||||||
\(431\) | −184.361 | − | 319.323i | −0.427753 | − | 0.740889i | 0.568920 | − | 0.822393i | \(-0.307361\pi\) |
−0.996673 | + | 0.0815032i | \(0.974028\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 67.7473i | − | 0.156460i | −0.996935 | − | 0.0782302i | \(-0.975073\pi\) | ||
0.996935 | − | 0.0782302i | \(-0.0249269\pi\) | |||||||
\(434\) | −169.301 | + | 597.641i | −0.390094 | + | 1.37705i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1251.77 | 2.87102 | ||||||||
\(437\) | −131.192 | − | 75.7437i | −0.300211 | − | 0.173327i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 117.191 | − | 67.6602i | 0.266950 | − | 0.154123i | −0.360551 | − | 0.932740i | \(-0.617411\pi\) |
0.627501 | + | 0.778616i | \(0.284078\pi\) | |||||||
\(440\) | 24.8196i | 0.0564082i | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −356.065 | −0.805577 | ||||||||
\(443\) | −305.064 | − | 528.386i | −0.688632 | − | 1.19275i | −0.972281 | − | 0.233817i | \(-0.924878\pi\) |
0.283649 | − | 0.958928i | \(-0.408455\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 13.9419 | − | 24.1480i | 0.0313301 | − | 0.0542652i | ||||
\(446\) | − | 905.912i | − | 2.03119i | ||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1375.89 | + | 389.764i | 3.07118 | + | 0.870010i | ||||
\(449\) | 724.781 | 1.61421 | 0.807105 | − | 0.590408i | \(-0.201033\pi\) | ||||
0.807105 | + | 0.590408i | \(0.201033\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 14.7866 | − | 8.53705i | 0.0327863 | − | 0.0189292i | ||||
\(452\) | 13.5746 | 0.0300323 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −295.599 | + | 170.664i | −0.651099 | + | 0.375912i | ||||
\(455\) | −6.40312 | − | 25.3355i | −0.0140728 | − | 0.0556824i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −163.923 | − | 283.922i | −0.358693 | − | 0.621274i | 0.629050 | − | 0.777365i | \(-0.283444\pi\) |
−0.987743 | + | 0.156091i | \(0.950111\pi\) | |||||||
\(458\) | −164.470 | + | 94.9568i | −0.359105 | + | 0.207329i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 38.3094 | + | 22.1180i | 0.0832813 | + | 0.0480825i | ||||
\(461\) | −14.8524 | − | 8.57502i | −0.0322177 | − | 0.0186009i | 0.483805 | − | 0.875176i | \(-0.339255\pi\) |
−0.516022 | + | 0.856575i | \(0.672588\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 114.904 | + | 199.020i | 0.248173 | + | 0.429848i | 0.963019 | − | 0.269434i | \(-0.0868365\pi\) |
−0.714846 | + | 0.699282i | \(0.753503\pi\) | |||||||
\(464\) | 399.843 | 0.861732 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −502.093 | −1.07745 | ||||||||
\(467\) | 249.369 | + | 143.973i | 0.533981 | + | 0.308294i | 0.742636 | − | 0.669695i | \(-0.233575\pi\) |
−0.208655 | + | 0.977989i | \(0.566909\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −323.078 | + | 314.000i | −0.688867 | + | 0.669509i | ||||
\(470\) | −20.3435 | + | 35.2359i | −0.0432839 | + | 0.0749700i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1937.97 | + | 1118.89i | 4.10587 | + | 2.37053i | ||||
\(473\) | −134.079 | + | 232.231i | −0.283465 | + | 0.490975i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −171.713 | − | 99.1386i | −0.361501 | − | 0.208713i | ||||
\(476\) | −110.071 | + | 388.556i | −0.231241 | + | 0.816295i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 96.1543 | − | 166.544i | 0.201160 | − | 0.348419i | ||||
\(479\) | 794.476i | 1.65861i | 0.558793 | + | 0.829307i | \(0.311265\pi\) | ||||
−0.558793 | + | 0.829307i | \(0.688735\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 178.190i | − | 0.370457i | ||||||
\(482\) | 989.598 | − | 571.344i | 2.05311 | − | 1.18536i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 542.195 | − | 939.110i | 1.12024 | − | 1.94031i | ||||
\(485\) | 7.91755 | − | 13.7136i | 0.0163248 | − | 0.0282755i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 270.679 | + | 468.830i | 0.555809 | + | 0.962689i | 0.997840 | + | 0.0656896i | \(0.0209247\pi\) |
−0.442031 | + | 0.897000i | \(0.645742\pi\) | |||||||
\(488\) | 917.567 | − | 529.757i | 1.88026 | − | 1.08557i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −40.6866 | − | 1.15987i | −0.0830338 | − | 0.00236709i | ||||
\(491\) | 138.981 | + | 240.722i | 0.283057 | + | 0.490269i | 0.972136 | − | 0.234417i | \(-0.0753181\pi\) |
−0.689079 | + | 0.724686i | \(0.741985\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 38.4757i | 0.0780440i | ||||||||
\(494\) | 262.740 | + | 455.079i | 0.531863 | + | 0.921213i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1294.34i | 2.60955i | ||||||||
\(497\) | 79.4968 | + | 22.5200i | 0.159953 | + | 0.0453118i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −484.244 | −0.970429 | −0.485215 | − | 0.874395i | \(-0.661259\pi\) | ||||
−0.485215 | + | 0.874395i | \(0.661259\pi\) | |||||||
\(500\) | 100.378 | + | 57.9534i | 0.200756 | + | 0.115907i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1497.69 | + | 864.690i | −2.98344 | + | 1.72249i | ||||
\(503\) | 328.342i | 0.652768i | 0.945237 | + | 0.326384i | \(0.105830\pi\) | ||||
−0.945237 | + | 0.326384i | \(0.894170\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.88003 | 0.00372283 | ||||||||
\(506\) | 162.701 | + | 281.807i | 0.321544 | + | 0.556930i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 497.644 | − | 861.945i | 0.979614 | − | 1.69674i | ||||
\(509\) | 168.117i | 0.330288i | 0.986269 | + | 0.165144i | \(0.0528089\pi\) | ||||
−0.986269 | + | 0.165144i | \(0.947191\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −217.402 | + | 54.9447i | −0.425444 | + | 0.107524i | ||||
\(512\) | 479.134 | 0.935808 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −1372.51 | + | 792.418i | −2.67025 | + | 1.54167i | ||||
\(515\) | 26.3004 | 0.0510687 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −188.740 | + | 108.969i | −0.365068 | + | 0.210772i | ||||
\(518\) | −267.039 | − | 75.6473i | −0.515520 | − | 0.146037i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −48.0819 | − | 83.2802i | −0.0924651 | − | 0.160154i | ||||
\(521\) | 418.280 | − | 241.494i | 0.802841 | − | 0.463520i | −0.0416227 | − | 0.999133i | \(-0.513253\pi\) |
0.844464 | + | 0.535613i | \(0.179919\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 421.384 | + | 243.286i | 0.805705 | + | 0.465174i | 0.845462 | − | 0.534036i | \(-0.179325\pi\) |
−0.0397574 | + | 0.999209i | \(0.512658\pi\) | |||||||
\(524\) | −1621.08 | − | 935.930i | −3.09366 | − | 1.78613i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 859.409 | + | 1488.54i | 1.63386 | + | 2.82992i | ||||
\(527\) | −124.550 | −0.236338 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −165.540 | −0.312929 | ||||||||
\(530\) | 36.0275 | + | 20.8005i | 0.0679764 | + | 0.0392462i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 577.827 | − | 146.036i | 1.08614 | − | 0.274504i | ||||
\(533\) | −33.0768 | + | 57.2908i | −0.0620578 | + | 0.107487i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 35.4676 | + | 20.4772i | 0.0662945 | + | 0.0382752i | ||||
\(536\) | −828.951 | + | 1435.79i | −1.54655 | + | 2.67870i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1682.44 | + | 971.358i | 3.12722 | + | 1.80550i | ||||
\(539\) | −185.632 | − | 114.349i | −0.344401 | − | 0.212150i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 434.207 | − | 752.069i | 0.802602 | − | 1.39015i | −0.115297 | − | 0.993331i | \(-0.536782\pi\) |
0.917898 | − | 0.396816i | \(-0.129885\pi\) | |||||||
\(542\) | − | 1388.52i | − | 2.56184i | ||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 600.880i | 1.10456i | ||||||||
\(545\) | −21.9082 | + | 12.6487i | −0.0401985 | + | 0.0232086i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 224.548 | − | 388.928i | 0.410507 | − | 0.711020i | −0.584438 | − | 0.811438i | \(-0.698685\pi\) |
0.994945 | + | 0.100419i | \(0.0320183\pi\) | |||||||
\(548\) | 128.965 | − | 223.374i | 0.235338 | − | 0.407617i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 212.955 | + | 368.848i | 0.387190 | + | 0.670633i | ||||
\(551\) | 49.1750 | − | 28.3912i | 0.0892468 | − | 0.0515266i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −24.9049 | − | 98.5421i | −0.0450359 | − | 0.178195i | ||||
\(554\) | 163.915 | + | 283.910i | 0.295876 | + | 0.512472i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | − | 1903.52i | − | 3.42359i | ||||||
\(557\) | 230.561 | + | 399.343i | 0.413933 | + | 0.716953i | 0.995316 | − | 0.0966773i | \(-0.0308215\pi\) |
−0.581383 | + | 0.813630i | \(0.697488\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 1038.98i | − | 1.85864i | ||||||
\(560\) | −82.2295 | + | 20.7821i | −0.146838 | + | 0.0371109i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −771.210 | −1.37226 | ||||||||
\(563\) | 611.178 | + | 352.864i | 1.08557 | + | 0.626756i | 0.932395 | − | 0.361442i | \(-0.117715\pi\) |
0.153179 | + | 0.988198i | \(0.451049\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.237580 | + | 0.137167i | −0.000420496 | + | 0.000242774i | ||||
\(566\) | 180.462i | 0.318838i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 304.052 | 0.535303 | ||||||||
\(569\) | −86.8202 | − | 150.377i | −0.152584 | − | 0.264283i | 0.779593 | − | 0.626287i | \(-0.215426\pi\) |
−0.932177 | + | 0.362004i | \(0.882093\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −456.905 | + | 791.383i | −0.800185 | + | 1.38596i | 0.119310 | + | 0.992857i | \(0.461932\pi\) |
−0.919494 | + | 0.393103i | \(0.871401\pi\) | |||||||
\(572\) | − | 821.928i | − | 1.43694i | ||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 71.8149 | + | 73.8914i | 0.125113 | + | 0.128731i | ||||
\(575\) | 475.722 | 0.827342 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −151.096 | + | 87.2355i | −0.261865 | + | 0.151188i | −0.625185 | − | 0.780476i | \(-0.714977\pi\) |
0.363320 | + | 0.931664i | \(0.381643\pi\) | |||||||
\(578\) | 997.407 | 1.72562 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −14.3596 | + | 8.29052i | −0.0247579 | + | 0.0142940i | ||||
\(581\) | −534.934 | − | 550.401i | −0.920712 | − | 0.947333i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 111.417 | + | 192.980i | 0.191110 | + | 0.331012i | ||||
\(584\) | −714.622 | + | 412.587i | −1.22367 | + | 0.706485i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1607.09 | − | 927.853i | −2.74247 | − | 1.58337i | ||||
\(587\) | 674.901 | + | 389.654i | 1.14975 | + | 0.663807i | 0.948825 | − | 0.315801i | \(-0.102273\pi\) |
0.200921 | + | 0.979607i | \(0.435606\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 91.9053 | + | 159.185i | 0.156036 | + | 0.270262i | ||||
\(590\) | −72.1628 | −0.122310 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −578.338 | −0.976922 | ||||||||
\(593\) | −957.562 | − | 552.849i | −1.61478 | − | 0.932291i | −0.988242 | − | 0.152897i | \(-0.951140\pi\) |
−0.626534 | − | 0.779394i | \(-0.715527\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.99980 | − | 7.91268i | −0.00336101 | − | 0.0132986i | ||||
\(596\) | −547.235 | + | 947.838i | −0.918179 | + | 1.59033i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1091.86 | − | 630.386i | −1.82585 | − | 1.05416i | ||||
\(599\) | 401.941 | − | 696.183i | 0.671021 | − | 1.16224i | −0.306594 | − | 0.951840i | \(-0.599190\pi\) |
0.977615 | − | 0.210402i | \(-0.0674772\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 714.013 | + | 412.236i | 1.18804 | + | 0.685916i | 0.957861 | − | 0.287231i | \(-0.0927349\pi\) |
0.230181 | + | 0.973148i | \(0.426068\pi\) | |||||||
\(602\) | −1557.03 | − | 441.079i | −2.58643 | − | 0.732689i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 713.312 | − | 1235.49i | 1.18098 | − | 2.04552i | ||||
\(605\) | 21.9149i | 0.0362229i | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 1110.30i | − | 1.82915i | −0.404414 | − | 0.914576i | \(-0.632525\pi\) | ||
0.404414 | − | 0.914576i | \(-0.367475\pi\) | |||||||
\(608\) | 767.972 | − | 443.389i | 1.26311 | − | 0.729258i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −17.0834 | + | 29.5893i | −0.0280055 | + | 0.0485070i | ||||
\(611\) | 422.201 | − | 731.274i | 0.691001 | − | 1.19685i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 423.537 | + | 733.587i | 0.690925 | + | 1.19672i | 0.971535 | + | 0.236895i | \(0.0761298\pi\) |
−0.280610 | + | 0.959822i | \(0.590537\pi\) | |||||||
\(614\) | 179.368 | − | 103.558i | 0.292131 | − | 0.168662i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −771.937 | − | 218.676i | −1.25314 | − | 0.354993i | ||||
\(617\) | −69.2750 | − | 119.988i | −0.112277 | − | 0.194470i | 0.804411 | − | 0.594073i | \(-0.202481\pi\) |
−0.916688 | + | 0.399604i | \(0.869148\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 266.433i | − | 0.430425i | −0.976567 | − | 0.215213i | \(-0.930956\pi\) | ||
0.976567 | − | 0.215213i | \(-0.0690445\pi\) | |||||||
\(620\) | −26.8373 | − | 46.4835i | −0.0432859 | − | 0.0749735i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 570.660i | 0.917460i | ||||||||
\(623\) | 628.213 | + | 646.377i | 1.00837 | + | 1.03752i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 621.485 | 0.994376 | ||||||||
\(626\) | 1456.66 | + | 841.001i | 2.32693 | + | 1.34345i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −938.717 | + | 541.968i | −1.49477 | + | 0.863007i | ||||
\(629\) | − | 55.6516i | − | 0.0884764i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −336.916 | −0.533940 | −0.266970 | − | 0.963705i | \(-0.586022\pi\) | ||||
−0.266970 | + | 0.963705i | \(0.586022\pi\) | |||||||
\(632\) | −187.014 | − | 323.918i | −0.295908 | − | 0.512528i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 674.761 | − | 1168.72i | 1.06429 | − | 1.84341i | ||||
\(635\) | 20.1142i | 0.0316758i | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 844.396 | + | 24.0717i | 1.32558 | + | 0.0377891i | ||||
\(638\) | −121.971 | −0.191178 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −63.2479 | + | 36.5162i | −0.0988248 | + | 0.0570565i | ||||
\(641\) | −329.423 | −0.513920 | −0.256960 | − | 0.966422i | \(-0.582721\pi\) | ||||
−0.256960 | + | 0.966422i | \(0.582721\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −83.9635 | + | 48.4763i | −0.130581 | + | 0.0753909i | −0.563867 | − | 0.825865i | \(-0.690687\pi\) |
0.433287 | + | 0.901256i | \(0.357354\pi\) | |||||||
\(644\) | −1025.44 | + | 996.622i | −1.59230 | + | 1.54755i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 82.0580 | + | 142.129i | 0.127025 | + | 0.220013i | ||||
\(647\) | −256.523 | + | 148.104i | −0.396481 | + | 0.228908i | −0.684964 | − | 0.728577i | \(-0.740182\pi\) |
0.288484 | + | 0.957485i | \(0.406849\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −334.752 | − | 193.269i | −0.515796 | − | 0.297795i | ||||
\(650\) | −1429.10 | − | 825.093i | −2.19862 | − | 1.26937i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −897.219 | − | 1554.03i | −1.37610 | − | 2.38348i | ||||
\(653\) | 255.473 | 0.391230 | 0.195615 | − | 0.980681i | \(-0.437330\pi\) | ||||
0.195615 | + | 0.980681i | \(0.437330\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 37.8291 | 0.0577544 | ||||||||
\(656\) | 185.944 | + | 107.355i | 0.283452 | + | 0.163651i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −916.664 | − | 943.169i | −1.39311 | − | 1.43339i | ||||
\(659\) | 232.879 | − | 403.358i | 0.353382 | − | 0.612075i | −0.633458 | − | 0.773777i | \(-0.718365\pi\) |
0.986840 | + | 0.161702i | \(0.0516983\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 778.126 | + | 449.251i | 1.17719 | + | 0.679654i | 0.955364 | − | 0.295432i | \(-0.0954635\pi\) |
0.221831 | + | 0.975085i | \(0.428797\pi\) | |||||||
\(662\) | −44.0490 | + | 76.2951i | −0.0665393 | + | 0.115249i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2446.02 | − | 1412.21i | −3.68377 | − | 2.12682i | ||||
\(665\) | −8.63738 | + | 8.39466i | −0.0129885 | + | 0.0126236i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −68.1183 | + | 117.984i | −0.102126 | + | 0.176888i | ||||
\(668\) | − | 1281.79i | − | 1.91885i | ||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | − | 53.4632i | − | 0.0797959i | ||||||
\(671\) | −158.494 | + | 91.5066i | −0.236206 | + | 0.136373i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 119.363 | − | 206.742i | 0.177359 | − | 0.307195i | −0.763616 | − | 0.645671i | \(-0.776578\pi\) |
0.940975 | + | 0.338475i | \(0.109911\pi\) | |||||||
\(674\) | −107.039 | + | 185.397i | −0.158812 | + | 0.275070i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 686.853 | + | 1189.66i | 1.01606 | + | 1.75986i | ||||
\(677\) | −766.619 | + | 442.607i | −1.13238 | + | 0.653778i | −0.944531 | − | 0.328421i | \(-0.893483\pi\) |
−0.187845 | + | 0.982199i | \(0.560150\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 356.760 | + | 367.076i | 0.525420 | + | 0.540612i | ||||
\(680\) | −15.0167 | − | 26.0098i | −0.0220835 | − | 0.0382497i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | − | 394.834i | − | 0.578935i | ||||||
\(683\) | −634.213 | − | 1098.49i | −0.928569 | − | 1.60833i | −0.785718 | − | 0.618585i | \(-0.787706\pi\) |
−0.142851 | − | 0.989744i | \(-0.545627\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.21261i | 0.00760965i | ||||||||
\(686\) | 394.547 | − | 1255.21i | 0.575142 | − | 1.82975i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −3372.13 | −4.90136 | ||||||||
\(689\) | −747.702 | − | 431.686i | −1.08520 | − | 0.626540i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 269.030 | − | 155.325i | 0.389335 | − | 0.224782i | −0.292537 | − | 0.956254i | \(-0.594500\pi\) |
0.681872 | + | 0.731472i | \(0.261166\pi\) | |||||||
\(692\) | 2358.24i | 3.40786i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 211.342 | 0.304528 | ||||||||
\(695\) | 19.2344 | + | 33.3150i | 0.0276755 | + | 0.0479353i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −10.3304 | + | 17.8928i | −0.0148213 | + | 0.0256712i | ||||
\(698\) | 1124.19i | 1.61058i | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −1342.16 | + | 1304.45i | −1.91738 | + | 1.86350i | ||||
\(701\) | 701.901 | 1.00129 | 0.500643 | − | 0.865654i | \(-0.333097\pi\) | ||||
0.500643 | + | 0.865654i | \(0.333097\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −71.1272 | + | 41.0653i | −0.101177 | + | 0.0584144i | ||||
\(704\) | −908.988 | −1.29118 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 630.739 | − | 364.158i | 0.893398 | − | 0.515804i | ||||
\(707\) | −16.5642 | + | 58.4725i | −0.0234288 | + | 0.0827050i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 192.709 | + | 333.782i | 0.271804 | + | 0.470779i | 0.969324 | − | 0.245787i | \(-0.0790463\pi\) |
−0.697520 | + | 0.716566i | \(0.745713\pi\) | |||||||
\(710\) | −8.49132 | + | 4.90247i | −0.0119596 | + | 0.00690489i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2872.55 | + | 1658.47i | 4.03448 | + | 2.32931i | ||||
\(713\) | −381.928 | − | 220.506i | −0.535663 | − | 0.309265i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 8.30532 | + | 14.3852i | 0.0116158 | + | 0.0201192i | ||||
\(716\) | 1755.12 | 2.45129 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1564.31 | 2.17871 | ||||||||
\(719\) | −272.086 | − | 157.089i | −0.378424 | − | 0.218483i | 0.298709 | − | 0.954344i | \(-0.403444\pi\) |
−0.677132 | + | 0.735861i | \(0.736777\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −231.722 | + | 817.991i | −0.321389 | + | 1.13452i | ||||
\(722\) | −571.302 | + | 989.524i | −0.791277 | + | 1.37053i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1413.15 | + | 815.881i | 1.95186 | + | 1.12691i | ||||
\(725\) | −89.1579 | + | 154.426i | −0.122976 | + | 0.213001i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 528.017 | + | 304.851i | 0.726295 | + | 0.419327i | 0.817065 | − | 0.576545i | \(-0.195599\pi\) |
−0.0907700 | + | 0.995872i | \(0.528933\pi\) | |||||||
\(728\) | 3013.80 | − | 761.687i | 4.13983 | − | 1.04627i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 13.3049 | − | 23.0448i | 0.0182259 | − | 0.0315682i | ||||
\(731\) | − | 324.490i | − | 0.443898i | ||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 294.374i | − | 0.401602i | −0.979632 | − | 0.200801i | \(-0.935646\pi\) | ||
0.979632 | − | 0.200801i | \(-0.0643544\pi\) | |||||||
\(734\) | 1391.77 | − | 803.536i | 1.89614 | − | 1.09474i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1063.81 | + | 1842.58i | −1.44540 | + | 2.50350i | ||||
\(737\) | 143.187 | − | 248.008i | 0.194284 | − | 0.336509i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −98.9144 | − | 171.325i | −0.133849 | − | 0.231833i | 0.791308 | − | 0.611418i | \(-0.209400\pi\) |
−0.925157 | + | 0.379584i | \(0.876067\pi\) | |||||||
\(740\) | 20.7699 | − | 11.9915i | 0.0280674 | − | 0.0162047i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −964.357 | + | 937.257i | −1.29967 | + | 1.26315i | ||||
\(743\) | −488.580 | − | 846.245i | −0.657577 | − | 1.13896i | −0.981241 | − | 0.192785i | \(-0.938248\pi\) |
0.323664 | − | 0.946172i | \(-0.395085\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 22.1185i | − | 0.0296893i | ||||||
\(746\) | 617.779 | + | 1070.02i | 0.828121 | + | 1.43435i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 256.701i | − | 0.343184i | ||||||
\(749\) | −949.370 | + | 922.691i | −1.26752 | + | 1.23190i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1205.90 | 1.60573 | 0.802864 | − | 0.596162i | \(-0.203308\pi\) | ||||
0.802864 | + | 0.596162i | \(0.203308\pi\) | |||||||
\(752\) | −2373.44 | − | 1370.31i | −3.15617 | − | 1.82222i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 409.264 | − | 236.289i | 0.542791 | − | 0.313381i | ||||
\(755\) | 28.8312i | 0.0381870i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1037.16 | −1.37010 | −0.685048 | − | 0.728498i | \(-0.740219\pi\) | ||||
−0.685048 | + | 0.728498i | \(0.740219\pi\) | |||||||
\(758\) | 367.921 | + | 637.257i | 0.485383 | + | 0.840709i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −22.1617 | + | 38.3852i | −0.0291601 | + | 0.0505068i | ||||
\(761\) | − | 424.556i | − | 0.557893i | −0.960307 | − | 0.278946i | \(-0.910015\pi\) | ||
0.960307 | − | 0.278946i | \(-0.0899852\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −200.374 | − | 792.828i | −0.262614 | − | 1.03909i | ||||
\(764\) | −131.904 | −0.172650 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2170.79 | − | 1253.31i | 2.83394 | − | 1.63617i | ||||
\(767\) | 1497.64 | 1.95260 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1247.99 | + | 720.527i | −1.62287 | + | 0.936967i | −0.636728 | + | 0.771089i | \(0.719713\pi\) |
−0.986146 | + | 0.165878i | \(0.946954\pi\) | |||||||
\(770\) | 25.0839 | − | 6.33953i | 0.0325765 | − | 0.00823316i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1442.24 | + | 2498.03i | 1.86818 | + | 3.23579i | ||||
\(773\) | 274.651 | − | 158.570i | 0.355306 | − | 0.205136i | −0.311714 | − | 0.950176i | \(-0.600903\pi\) |
0.667020 | + | 0.745040i | \(0.267570\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −499.893 | − | 288.614i | −0.645024 | − | 0.372405i | ||||
\(776\) | 1631.31 | + | 941.838i | 2.10221 | + | 1.21371i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 687.628 | + | 1191.01i | 0.883840 | + | 1.53086i | ||||
\(779\) | 30.4913 | 0.0391416 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −52.5199 | −0.0672470 | ||||||||
\(782\) | −341.006 | − | 196.880i | −0.436069 | − | 0.251765i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 78.1276 | − | 2740.59i | 0.0996525 | − | 3.49565i | ||||
\(785\) | 10.9528 | − | 18.9709i | 0.0139527 | − | 0.0241667i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1078.90 | − | 622.903i | −1.37090 | − | 0.791490i | −0.379860 | − | 0.925044i | \(-0.624028\pi\) |
−0.991042 | + | 0.133553i | \(0.957361\pi\) | |||||||
\(788\) | 1618.96 | − | 2804.13i | 2.05452 | − | 3.55854i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 10.4455 | + | 6.03074i | 0.0132222 | + | 0.00763384i | ||||
\(791\) | −2.17293 | − | 8.59771i | −0.00274706 | − | 0.0108694i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 354.542 | − | 614.086i | 0.447090 | − | 0.774383i | ||||
\(794\) | − | 1585.40i | − | 1.99672i | ||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | − | 1027.08i | − | 1.29031i | ||||||
\(797\) | 111.463 | − | 64.3530i | 0.139853 | − | 0.0807440i | −0.428441 | − | 0.903570i | \(-0.640937\pi\) |
0.568294 | + | 0.822826i | \(0.307604\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 131.860 | − | 228.389i | 0.165032 | − | 0.285843i | ||||
\(800\) | −1392.39 | + | 2411.69i | −1.74049 | + | 3.01461i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −272.866 | − | 472.617i | −0.340231 | − | 0.589298i | ||||
\(803\) | 123.439 | − | 71.2674i | 0.153722 | − | 0.0887514i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 7.87650 | − | 27.8045i | 0.00978447 | − | 0.0345397i | ||||
\(806\) | 764.892 | + | 1324.83i | 0.948998 | + | 1.64371i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 223.640i | 0.276783i | ||||||||
\(809\) | 517.683 | + | 896.653i | 0.639904 | + | 1.10835i | 0.985453 | + | 0.169946i | \(0.0543594\pi\) |
−0.345549 | + | 0.938401i | \(0.612307\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 1195.01i | − | 1.47350i | −0.676165 | − | 0.736751i | \(-0.736359\pi\) | ||
0.676165 | − | 0.736751i | \(-0.263641\pi\) | |||||||
\(812\) | −131.334 | − | 519.655i | −0.161741 | − | 0.639969i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 176.421 | 0.216733 | ||||||||
\(815\) | 31.4060 | + | 18.1322i | 0.0385349 | + | 0.0222482i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −414.723 | + | 239.441i | −0.507617 | + | 0.293073i | ||||
\(818\) | 297.356i | 0.363516i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −8.90377 | −0.0108583 | ||||||||
\(821\) | −633.626 | − | 1097.47i | −0.771773 | − | 1.33675i | −0.936590 | − | 0.350427i | \(-0.886037\pi\) |
0.164817 | − | 0.986324i | \(-0.447297\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −296.052 | + | 512.778i | −0.359723 | + | 0.623059i | −0.987914 | − | 0.155000i | \(-0.950462\pi\) |
0.628191 | + | 0.778059i | \(0.283796\pi\) | |||||||
\(824\) | 3128.58i | 3.79682i | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 635.797 | − | 2244.40i | 0.769730 | − | 2.71719i | ||||
\(827\) | 265.260 | 0.320749 | 0.160375 | − | 0.987056i | \(-0.448730\pi\) | ||||
0.160375 | + | 0.987056i | \(0.448730\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 449.714 | − | 259.643i | 0.542478 | − | 0.313200i | −0.203605 | − | 0.979053i | \(-0.565266\pi\) |
0.746083 | + | 0.665853i | \(0.231932\pi\) | |||||||
\(830\) | 91.0806 | 0.109736 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 3050.03 | − | 1760.94i | 3.66590 | − | 2.11651i | ||||
\(833\) | 263.719 | + | 7.51797i | 0.316589 | + | 0.00902517i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 12.9521 | + | 22.4337i | 0.0155115 | + | 0.0268667i | ||||
\(836\) | −328.085 | + | 189.420i | −0.392446 | + | 0.226579i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 2222.50 | + | 1283.16i | 2.65215 | + | 1.53122i | ||||
\(839\) | 469.432 | + | 271.026i | 0.559513 | + | 0.323035i | 0.752950 | − | 0.658078i | \(-0.228630\pi\) |
−0.193437 | + | 0.981113i | \(0.561963\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 394.967 | + | 684.103i | 0.469640 | + | 0.813440i | ||||
\(842\) | −1723.94 | −2.04744 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 968.878 | 1.14796 | ||||||||
\(845\) | −24.0424 | − | 13.8809i | −0.0284525 | − | 0.0164271i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −681.593 | − | 193.083i | −0.804715 | − | 0.227961i | ||||
\(848\) | −1401.09 | + | 2426.76i | −1.65223 | + | 2.86175i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −446.332 | − | 257.690i | −0.525097 | − | 0.303165i | ||||
\(851\) | 98.5270 | − | 170.654i | 0.115778 | − | 0.200533i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 168.797 | + | 97.4552i | 0.197887 | + | 0.114250i | 0.595669 | − | 0.803230i | \(-0.296887\pi\) |
−0.397783 | + | 0.917480i | \(0.630220\pi\) | |||||||
\(854\) | −769.767 | − | 792.023i | −0.901366 | − | 0.927428i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2435.88 | + | 4219.07i | −2.84566 | + | 4.92882i | ||||
\(857\) | 1323.66i | 1.54453i | 0.635300 | + | 0.772265i | \(0.280876\pi\) | ||||
−0.635300 | + | 0.772265i | \(0.719124\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 480.658i | − | 0.559555i | −0.960065 | − | 0.279778i | \(-0.909739\pi\) | ||
0.960065 | − | 0.279778i | \(-0.0902607\pi\) | |||||||
\(860\) | 121.104 | − | 69.9192i | 0.140818 | − | 0.0813014i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −707.216 | + | 1224.93i | −0.820436 | + | 1.42104i | ||||
\(863\) | −620.991 | + | 1075.59i | −0.719572 | + | 1.24634i | 0.241597 | + | 0.970377i | \(0.422329\pi\) |
−0.961169 | + | 0.275959i | \(0.911005\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −23.8293 | − | 41.2735i | −0.0275483 | − | 0.0477150i | ||||
\(866\) | −225.063 | + | 129.940i | −0.259888 | + | 0.150047i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1682.18 | − | 425.142i | 1.93799 | − | 0.489795i | ||||
\(869\) | 32.3035 | + | 55.9513i | 0.0371732 | + | 0.0643858i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1109.56i | 1.27389i | ||||||||
\(872\) | −1504.64 | − | 2606.11i | −1.72550 | − | 2.98865i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 581.110i | 0.664886i | ||||||||
\(875\) | 20.6380 | − | 72.8532i | 0.0235863 | − | 0.0832608i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1041.91 | −1.18804 | −0.594019 | − | 0.804451i | \(-0.702459\pi\) | ||||
−0.594019 | + | 0.804451i | \(0.702459\pi\) | |||||||
\(878\) | −449.548 | − | 259.546i | −0.512013 | − | 0.295611i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 46.6891 | − | 26.9560i | 0.0530558 | − | 0.0306318i | ||||
\(881\) | − | 332.498i | − | 0.377409i | −0.982034 | − | 0.188705i | \(-0.939571\pi\) | ||
0.982034 | − | 0.188705i | \(-0.0604289\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −651.814 | −0.738181 | −0.369091 | − | 0.929393i | \(-0.620331\pi\) | ||||
−0.369091 | + | 0.929393i | \(0.620331\pi\) | |||||||
\(884\) | 497.295 | + | 861.341i | 0.562551 | + | 0.974367i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −1170.23 | + | 2026.90i | −1.32081 | + | 2.28770i | ||||
\(887\) | 842.321i | 0.949629i | 0.880086 | + | 0.474815i | \(0.157485\pi\) | ||||
−0.880086 | + | 0.474815i | \(0.842515\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −625.588 | − | 177.218i | −0.703698 | − | 0.199345i | ||||
\(890\) | −106.963 | −0.120183 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −2191.45 | + | 1265.23i | −2.45678 | + | 1.41842i | ||||
\(893\) | −389.199 | −0.435833 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −30.7179 | + | 17.7350i | −0.0343216 | + | 0.0198156i | ||||
\(896\) | −578.470 | − | 2288.86i | −0.645614 | − | 2.55453i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −1390.14 | − | 2407.79i | −1.54804 | − | 2.68128i | ||||
\(899\) | 143.159 | − | 82.6528i | 0.159242 | − | 0.0919386i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −233.520 | − | 134.823i | −0.259178 | − | 0.149637i | ||||
\(902\) | −56.7219 | − | 32.7484i | −0.0628845 | − | 0.0363064i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −16.3168 | − | 28.2615i | −0.0180496 | − | 0.0312628i | ||||
\(905\) | −32.9769 | −0.0364385 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −719.847 | −0.793658 | −0.396829 | − | 0.917893i | \(-0.629889\pi\) | ||||
−0.396829 | + | 0.917893i | \(0.629889\pi\) | |||||||
\(908\) | 825.691 | + | 476.713i | 0.909352 | + | 0.525015i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −71.8857 | + | 69.8656i | −0.0789952 | + | 0.0767754i | ||||
\(911\) | −178.178 | + | 308.613i | −0.195585 | + | 0.338763i | −0.947092 | − | 0.320962i | \(-0.895994\pi\) |
0.751507 | + | 0.659725i | \(0.229327\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 422.509 | + | 243.935i | 0.462770 | + | 0.267180i | ||||
\(914\) | −628.812 | + | 1089.13i | −0.687978 | + | 1.19161i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 459.411 | + | 265.241i | 0.501540 | + | 0.289565i | ||||
\(917\) | −333.297 | + | 1176.56i | −0.363465 | + | 1.28305i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 125.952 | − | 218.156i | 0.137054 | − | 0.237384i | −0.789326 | − | 0.613974i | \(-0.789570\pi\) |
0.926380 | + | 0.376590i | \(0.122903\pi\) | |||||||
\(920\) | − | 106.344i | − | 0.115591i | ||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 65.7881i | 0.0713537i | ||||||||
\(923\) | 176.226 | − | 101.744i | 0.190928 | − | 0.110232i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 128.959 | − | 223.363i | 0.139415 | − | 0.241474i | ||||
\(926\) | 440.775 | − | 763.445i | 0.475999 | − | 0.824455i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −398.751 | − | 690.657i | −0.429688 | − | 0.744242i | ||||
\(929\) | −225.282 | + | 130.066i | −0.242499 | + | 0.140007i | −0.616325 | − | 0.787492i | \(-0.711379\pi\) |
0.373826 | + | 0.927499i | \(0.378046\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −184.989 | − | 342.601i | −0.198699 | − | 0.367992i | ||||
\(932\) | 701.244 | + | 1214.59i | 0.752407 | + | 1.30321i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 1104.57i | − | 1.18262i | ||||||
\(935\) | 2.59389 | + | 4.49275i | 0.00277421 | + | 0.00480508i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 1274.73i | 1.36044i | 0.733008 | + | 0.680220i | \(0.238116\pi\) | ||||
−0.733008 | + | 0.680220i | \(0.761884\pi\) | |||||||
\(938\) | 1662.81 | + | 471.043i | 1.77271 | + | 0.502178i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 113.650 | 0.120904 | ||||||||
\(941\) | −1120.44 | − | 646.884i | −1.19069 | − | 0.687443i | −0.232224 | − | 0.972662i | \(-0.574600\pi\) |
−0.958462 | + | 0.285219i | \(0.907934\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −63.3558 | + | 36.5785i | −0.0671854 | + | 0.0387895i | ||||
\(944\) | − | 4860.79i | − | 5.14914i | ||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1028.66 | 1.08738 | ||||||||
\(947\) | −237.044 | − | 410.572i | −0.250310 | − | 0.433550i | 0.713301 | − | 0.700858i | \(-0.247199\pi\) |
−0.963611 | + | 0.267308i | \(0.913866\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −276.126 | + | 478.264i | −0.290965 | + | 0.503966i | ||||
\(950\) | 760.597i | 0.800628i | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 941.259 | − | 237.887i | 0.988717 | − | 0.249882i | ||||
\(953\) | 140.452 | 0.147379 | 0.0736893 | − | 0.997281i | \(-0.476523\pi\) | ||||
0.0736893 | + | 0.997281i | \(0.476523\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.30857 | − | 1.33285i | 0.00241735 | − | 0.00139566i | ||||
\(956\) | −537.172 | −0.561896 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 2639.33 | − | 1523.82i | 2.75504 | − | 1.59062i | ||||
\(959\) | −162.122 | − | 45.9262i | −0.169053 | − | 0.0478897i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −212.944 | − | 368.830i | −0.221586 | − | 0.383798i | ||||
\(962\) | −591.965 | + | 341.771i | −0.615348 | + | 0.355271i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −2764.23 | − | 1595.93i | −2.86745 | − | 1.65553i | ||||
\(965\) | −50.4836 | − | 29.1467i | −0.0523147 | − | 0.0302039i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 577.643 | + | 1000.51i | 0.597356 | + | 1.03465i | 0.993210 | + | 0.116337i | \(0.0371153\pi\) |
−0.395854 | + | 0.918313i | \(0.629551\pi\) | |||||||
\(968\) | −2606.90 | −2.69308 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −60.7439 | −0.0626226 | ||||||||
\(971\) | −645.071 | − | 372.432i | −0.664337 | − | 0.383555i | 0.129590 | − | 0.991568i | \(-0.458634\pi\) |
−0.793928 | + | 0.608012i | \(0.791967\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −1205.63 | + | 304.702i | −1.23908 | + | 0.313157i | ||||
\(974\) | 1038.33 | − | 1798.44i | 1.06605 | − | 1.84645i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1993.09 | − | 1150.71i | −2.04210 | − | 1.17901i | ||||
\(977\) | −720.133 | + | 1247.31i | −0.737086 | + | 1.27667i | 0.216716 | + | 0.976235i | \(0.430466\pi\) |
−0.953802 | + | 0.300436i | \(0.902868\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −496.184 | − | 286.472i | −0.506827 | − | 0.292617i | ||||
\(980\) | 54.0188 | + | 100.043i | 0.0551212 | + | 0.102085i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 533.135 | − | 923.417i | 0.542907 | − | 0.940343i | ||||
\(983\) | − | 586.281i | − | 0.596421i | −0.954500 | − | 0.298210i | \(-0.903610\pi\) | ||
0.954500 | − | 0.298210i | \(-0.0963897\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 65.4365i | 0.0664330i | ||||||||
\(986\) | 127.820 | − | 73.7969i | 0.129635 | − | 0.0748447i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 733.908 | − | 1271.17i | 0.742821 | − | 1.28660i | ||||
\(989\) | 574.485 | − | 995.036i | 0.580874 | − | 1.00610i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −390.134 | − | 675.732i | −0.393677 | − | 0.681868i | 0.599254 | − | 0.800559i | \(-0.295464\pi\) |
−0.992931 | + | 0.118690i | \(0.962130\pi\) | |||||||
\(992\) | 2235.73 | − | 1290.80i | 2.25376 | − | 1.30121i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −77.6623 | − | 307.290i | −0.0781311 | − | 0.309145i | ||||
\(995\) | 10.3784 | + | 17.9758i | 0.0104305 | + | 0.0180662i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 215.003i | 0.215650i | 0.994170 | + | 0.107825i | \(0.0343886\pi\) | ||||
−0.994170 | + | 0.107825i | \(0.965611\pi\) | |||||||
\(998\) | 928.787 | + | 1608.71i | 0.930649 | + | 1.61193i | ||||
\(999\) | 0 | 0 |
(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 | 189.3.k.a.19.1 | 28 | ||
3.2 | odd | 2 | 63.3.k.a.61.14 | yes | 28 | ||
7.3 | odd | 6 | 189.3.t.a.73.14 | 28 | |||
9.4 | even | 3 | 189.3.t.a.145.14 | 28 | |||
9.5 | odd | 6 | 63.3.t.a.40.1 | yes | 28 | ||
21.2 | odd | 6 | 441.3.l.a.97.14 | 28 | |||
21.5 | even | 6 | 441.3.l.b.97.14 | 28 | |||
21.11 | odd | 6 | 441.3.t.a.178.1 | 28 | |||
21.17 | even | 6 | 63.3.t.a.52.1 | yes | 28 | ||
21.20 | even | 2 | 441.3.k.b.313.14 | 28 | |||
63.5 | even | 6 | 441.3.l.a.391.14 | 28 | |||
63.23 | odd | 6 | 441.3.l.b.391.14 | 28 | |||
63.31 | odd | 6 | inner | 189.3.k.a.10.1 | 28 | ||
63.32 | odd | 6 | 441.3.k.b.31.14 | 28 | |||
63.41 | even | 6 | 441.3.t.a.166.1 | 28 | |||
63.59 | even | 6 | 63.3.k.a.31.14 | ✓ | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
63.3.k.a.31.14 | ✓ | 28 | 63.59 | even | 6 | ||
63.3.k.a.61.14 | yes | 28 | 3.2 | odd | 2 | ||
63.3.t.a.40.1 | yes | 28 | 9.5 | odd | 6 | ||
63.3.t.a.52.1 | yes | 28 | 21.17 | even | 6 | ||
189.3.k.a.10.1 | 28 | 63.31 | odd | 6 | inner | ||
189.3.k.a.19.1 | 28 | 1.1 | even | 1 | trivial | ||
189.3.t.a.73.14 | 28 | 7.3 | odd | 6 | |||
189.3.t.a.145.14 | 28 | 9.4 | even | 3 | |||
441.3.k.b.31.14 | 28 | 63.32 | odd | 6 | |||
441.3.k.b.313.14 | 28 | 21.20 | even | 2 | |||
441.3.l.a.97.14 | 28 | 21.2 | odd | 6 | |||
441.3.l.a.391.14 | 28 | 63.5 | even | 6 | |||
441.3.l.b.97.14 | 28 | 21.5 | even | 6 | |||
441.3.l.b.391.14 | 28 | 63.23 | odd | 6 | |||
441.3.t.a.166.1 | 28 | 63.41 | even | 6 | |||
441.3.t.a.178.1 | 28 | 21.11 | odd | 6 |