Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,3,Mod(599,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.599");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.b (of order \(2\), degree \(1\), 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: | \(18.8011382409\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 599.16 | ||
Character | \(\chi\) | \(=\) | 690.599 |
Dual form | 690.3.b.a.599.15 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41421 | −0.707107 | ||||||||
\(3\) | −1.42652 | + | 2.63914i | −0.475506 | + | 0.879713i | ||||
\(4\) | 2.00000 | 0.500000 | ||||||||
\(5\) | −3.84011 | + | 3.20212i | −0.768021 | + | 0.640424i | ||||
\(6\) | 2.01740 | − | 3.73230i | 0.336233 | − | 0.622051i | ||||
\(7\) | − | 12.7200i | − | 1.81714i | −0.417730 | − | 0.908571i | \(-0.637174\pi\) | ||
0.417730 | − | 0.908571i | \(-0.362826\pi\) | |||||||
\(8\) | −2.82843 | −0.353553 | ||||||||
\(9\) | −4.93010 | − | 7.52955i | −0.547789 | − | 0.836617i | ||||
\(10\) | 5.43073 | − | 4.52848i | 0.543073 | − | 0.452848i | ||||
\(11\) | 2.23541i | 0.203219i | 0.994824 | + | 0.101610i | \(0.0323993\pi\) | ||||
−0.994824 | + | 0.101610i | \(0.967601\pi\) | |||||||
\(12\) | −2.85303 | + | 5.27828i | −0.237753 | + | 0.439856i | ||||
\(13\) | 0.635761i | 0.0489047i | 0.999701 | + | 0.0244523i | \(0.00778420\pi\) | ||||
−0.999701 | + | 0.0244523i | \(0.992216\pi\) | |||||||
\(14\) | 17.9888i | 1.28491i | ||||||||
\(15\) | −2.97286 | − | 14.7025i | −0.198191 | − | 0.980164i | ||||
\(16\) | 4.00000 | 0.250000 | ||||||||
\(17\) | −9.66062 | −0.568272 | −0.284136 | − | 0.958784i | \(-0.591707\pi\) | ||||
−0.284136 | + | 0.958784i | \(0.591707\pi\) | |||||||
\(18\) | 6.97221 | + | 10.6484i | 0.387345 | + | 0.591577i | ||||
\(19\) | 3.49572 | 0.183985 | 0.0919926 | − | 0.995760i | \(-0.470676\pi\) | ||||
0.0919926 | + | 0.995760i | \(0.470676\pi\) | |||||||
\(20\) | −7.68021 | + | 6.40424i | −0.384011 | + | 0.320212i | ||||
\(21\) | 33.5698 | + | 18.1453i | 1.59856 | + | 0.864062i | ||||
\(22\) | − | 3.16135i | − | 0.143698i | ||||||
\(23\) | 4.79583 | 0.208514 | ||||||||
\(24\) | 4.03480 | − | 7.46461i | 0.168117 | − | 0.311025i | ||||
\(25\) | 4.49285 | − | 24.5930i | 0.179714 | − | 0.983719i | ||||
\(26\) | − | 0.899101i | − | 0.0345808i | ||||||
\(27\) | 26.9044 | − | 2.27017i | 0.996459 | − | 0.0840805i | ||||
\(28\) | − | 25.4400i | − | 0.908571i | ||||||
\(29\) | 36.8343i | 1.27015i | 0.772451 | + | 0.635075i | \(0.219031\pi\) | ||||
−0.772451 | + | 0.635075i | \(0.780969\pi\) | |||||||
\(30\) | 4.20426 | + | 20.7924i | 0.140142 | + | 0.693080i | ||||
\(31\) | 38.8991 | 1.25481 | 0.627405 | − | 0.778693i | \(-0.284117\pi\) | ||||
0.627405 | + | 0.778693i | \(0.284117\pi\) | |||||||
\(32\) | −5.65685 | −0.176777 | ||||||||
\(33\) | −5.89957 | − | 3.18886i | −0.178775 | − | 0.0966320i | ||||
\(34\) | 13.6622 | 0.401829 | ||||||||
\(35\) | 40.7310 | + | 48.8462i | 1.16374 | + | 1.39560i | ||||
\(36\) | −9.86020 | − | 15.0591i | −0.273894 | − | 0.418308i | ||||
\(37\) | 2.05039i | 0.0554160i | 0.999616 | + | 0.0277080i | \(0.00882086\pi\) | ||||
−0.999616 | + | 0.0277080i | \(0.991179\pi\) | |||||||
\(38\) | −4.94369 | −0.130097 | ||||||||
\(39\) | −1.67786 | − | 0.906924i | −0.0430221 | − | 0.0232544i | ||||
\(40\) | 10.8615 | − | 9.05696i | 0.271537 | − | 0.226424i | ||||
\(41\) | − | 20.9083i | − | 0.509957i | −0.966947 | − | 0.254979i | \(-0.917932\pi\) | ||
0.966947 | − | 0.254979i | \(-0.0820685\pi\) | |||||||
\(42\) | −47.4749 | − | 25.6613i | −1.13035 | − | 0.610984i | ||||
\(43\) | 44.3973i | 1.03250i | 0.856439 | + | 0.516248i | \(0.172672\pi\) | ||||
−0.856439 | + | 0.516248i | \(0.827328\pi\) | |||||||
\(44\) | 4.47083i | 0.101610i | ||||||||
\(45\) | 43.0426 | + | 13.1275i | 0.956503 | + | 0.291723i | ||||
\(46\) | −6.78233 | −0.147442 | ||||||||
\(47\) | −12.6819 | −0.269828 | −0.134914 | − | 0.990857i | \(-0.543076\pi\) | ||||
−0.134914 | + | 0.990857i | \(0.543076\pi\) | |||||||
\(48\) | −5.70607 | + | 10.5566i | −0.118876 | + | 0.219928i | ||||
\(49\) | −112.798 | −2.30201 | ||||||||
\(50\) | −6.35385 | + | 34.7797i | −0.127077 | + | 0.695594i | ||||
\(51\) | 13.7810 | − | 25.4957i | 0.270217 | − | 0.499916i | ||||
\(52\) | 1.27152i | 0.0244523i | ||||||||
\(53\) | −32.1430 | −0.606472 | −0.303236 | − | 0.952915i | \(-0.598067\pi\) | ||||
−0.303236 | + | 0.952915i | \(0.598067\pi\) | |||||||
\(54\) | −38.0486 | + | 3.21051i | −0.704603 | + | 0.0594539i | ||||
\(55\) | −7.15807 | − | 8.58423i | −0.130147 | − | 0.156077i | ||||
\(56\) | 35.9776i | 0.642457i | ||||||||
\(57\) | −4.98670 | + | 9.22568i | −0.0874860 | + | 0.161854i | ||||
\(58\) | − | 52.0916i | − | 0.898131i | ||||||
\(59\) | 34.6353i | 0.587038i | 0.955953 | + | 0.293519i | \(0.0948264\pi\) | ||||
−0.955953 | + | 0.293519i | \(0.905174\pi\) | |||||||
\(60\) | −5.94572 | − | 29.4049i | −0.0990953 | − | 0.490082i | ||||
\(61\) | 15.4050 | 0.252541 | 0.126271 | − | 0.991996i | \(-0.459699\pi\) | ||||
0.126271 | + | 0.991996i | \(0.459699\pi\) | |||||||
\(62\) | −55.0116 | −0.887284 | ||||||||
\(63\) | −95.7759 | + | 62.7108i | −1.52025 | + | 0.995410i | ||||
\(64\) | 8.00000 | 0.125000 | ||||||||
\(65\) | −2.03578 | − | 2.44139i | −0.0313197 | − | 0.0375598i | ||||
\(66\) | 8.34325 | + | 4.50972i | 0.126413 | + | 0.0683292i | ||||
\(67\) | 103.378i | 1.54296i | 0.636255 | + | 0.771479i | \(0.280483\pi\) | ||||
−0.636255 | + | 0.771479i | \(0.719517\pi\) | |||||||
\(68\) | −19.3212 | −0.284136 | ||||||||
\(69\) | −6.84134 | + | 12.6569i | −0.0991498 | + | 0.183433i | ||||
\(70\) | −57.6023 | − | 69.0789i | −0.822890 | − | 0.986841i | ||||
\(71\) | − | 103.333i | − | 1.45539i | −0.685899 | − | 0.727697i | \(-0.740591\pi\) | ||
0.685899 | − | 0.727697i | \(-0.259409\pi\) | |||||||
\(72\) | 13.9444 | + | 21.2968i | 0.193673 | + | 0.295789i | ||||
\(73\) | 66.4287i | 0.909982i | 0.890496 | + | 0.454991i | \(0.150358\pi\) | ||||
−0.890496 | + | 0.454991i | \(0.849642\pi\) | |||||||
\(74\) | − | 2.89969i | − | 0.0391850i | ||||||
\(75\) | 58.4951 | + | 46.9395i | 0.779935 | + | 0.625861i | ||||
\(76\) | 6.99144 | 0.0919926 | ||||||||
\(77\) | 28.4345 | 0.369279 | ||||||||
\(78\) | 2.37285 | + | 1.28258i | 0.0304212 | + | 0.0164434i | ||||
\(79\) | −62.2728 | −0.788263 | −0.394131 | − | 0.919054i | \(-0.628955\pi\) | ||||
−0.394131 | + | 0.919054i | \(0.628955\pi\) | |||||||
\(80\) | −15.3604 | + | 12.8085i | −0.192005 | + | 0.160106i | ||||
\(81\) | −32.3883 | + | 74.2428i | −0.399855 | + | 0.916578i | ||||
\(82\) | 29.5687i | 0.360594i | ||||||||
\(83\) | −21.9860 | −0.264892 | −0.132446 | − | 0.991190i | \(-0.542283\pi\) | ||||
−0.132446 | + | 0.991190i | \(0.542283\pi\) | |||||||
\(84\) | 67.1397 | + | 36.2906i | 0.799282 | + | 0.432031i | ||||
\(85\) | 37.0978 | − | 30.9345i | 0.436445 | − | 0.363935i | ||||
\(86\) | − | 62.7873i | − | 0.730085i | ||||||
\(87\) | −97.2109 | − | 52.5448i | −1.11737 | − | 0.603963i | ||||
\(88\) | − | 6.32271i | − | 0.0718489i | ||||||
\(89\) | 12.4162i | 0.139507i | 0.997564 | + | 0.0697537i | \(0.0222213\pi\) | ||||
−0.997564 | + | 0.0697537i | \(0.977779\pi\) | |||||||
\(90\) | −60.8715 | − | 18.5651i | −0.676350 | − | 0.206279i | ||||
\(91\) | 8.08687 | 0.0888668 | ||||||||
\(92\) | 9.59166 | 0.104257 | ||||||||
\(93\) | −55.4902 | + | 102.660i | −0.596669 | + | 1.10387i | ||||
\(94\) | 17.9349 | 0.190797 | ||||||||
\(95\) | −13.4239 | + | 11.1937i | −0.141305 | + | 0.117829i | ||||
\(96\) | 8.06960 | − | 14.9292i | 0.0840583 | − | 0.155513i | ||||
\(97\) | 110.069i | 1.13473i | 0.823467 | + | 0.567364i | \(0.192037\pi\) | ||||
−0.823467 | + | 0.567364i | \(0.807963\pi\) | |||||||
\(98\) | 159.521 | 1.62776 | ||||||||
\(99\) | 16.8317 | − | 11.0208i | 0.170017 | − | 0.111321i | ||||
\(100\) | 8.98570 | − | 49.1859i | 0.0898570 | − | 0.491859i | ||||
\(101\) | 64.4166i | 0.637788i | 0.947790 | + | 0.318894i | \(0.103311\pi\) | ||||
−0.947790 | + | 0.318894i | \(0.896689\pi\) | |||||||
\(102\) | −19.4893 | + | 36.0564i | −0.191072 | + | 0.353494i | ||||
\(103\) | 144.898i | 1.40677i | 0.710808 | + | 0.703386i | \(0.248329\pi\) | ||||
−0.710808 | + | 0.703386i | \(0.751671\pi\) | |||||||
\(104\) | − | 1.79820i | − | 0.0172904i | ||||||
\(105\) | −187.015 | + | 37.8147i | −1.78110 | + | 0.360140i | ||||
\(106\) | 45.4571 | 0.428841 | ||||||||
\(107\) | 166.897 | 1.55979 | 0.779893 | − | 0.625912i | \(-0.215273\pi\) | ||||
0.779893 | + | 0.625912i | \(0.215273\pi\) | |||||||
\(108\) | 53.8088 | − | 4.54035i | 0.498229 | − | 0.0420403i | ||||
\(109\) | 69.4580 | 0.637229 | 0.318615 | − | 0.947884i | \(-0.396782\pi\) | ||||
0.318615 | + | 0.947884i | \(0.396782\pi\) | |||||||
\(110\) | 10.1230 | + | 12.1399i | 0.0920276 | + | 0.110363i | ||||
\(111\) | −5.41127 | − | 2.92492i | −0.0487502 | − | 0.0263506i | ||||
\(112\) | − | 50.8800i | − | 0.454286i | ||||||
\(113\) | 96.8045 | 0.856677 | 0.428339 | − | 0.903618i | \(-0.359099\pi\) | ||||
0.428339 | + | 0.903618i | \(0.359099\pi\) | |||||||
\(114\) | 7.05226 | − | 13.0471i | 0.0618619 | − | 0.114448i | ||||
\(115\) | −18.4165 | + | 15.3568i | −0.160144 | + | 0.133538i | ||||
\(116\) | 73.6687i | 0.635075i | ||||||||
\(117\) | 4.78699 | − | 3.13436i | 0.0409145 | − | 0.0267894i | ||||
\(118\) | − | 48.9816i | − | 0.415099i | ||||||
\(119\) | 122.883i | 1.03263i | ||||||||
\(120\) | 8.40851 | + | 41.5848i | 0.0700709 | + | 0.346540i | ||||
\(121\) | 116.003 | 0.958702 | ||||||||
\(122\) | −21.7860 | −0.178573 | ||||||||
\(123\) | 55.1798 | + | 29.8260i | 0.448616 | + | 0.242488i | ||||
\(124\) | 77.7982 | 0.627405 | ||||||||
\(125\) | 61.4966 | + | 108.826i | 0.491973 | + | 0.870610i | ||||
\(126\) | 135.448 | − | 88.6865i | 1.07498 | − | 0.703861i | ||||
\(127\) | − | 122.722i | − | 0.966313i | −0.875534 | − | 0.483156i | \(-0.839490\pi\) | ||
0.875534 | − | 0.483156i | \(-0.160510\pi\) | |||||||
\(128\) | −11.3137 | −0.0883883 | ||||||||
\(129\) | −117.171 | − | 63.3336i | −0.908300 | − | 0.490958i | ||||
\(130\) | 2.87903 | + | 3.45265i | 0.0221464 | + | 0.0265588i | ||||
\(131\) | 217.468i | 1.66006i | 0.557719 | + | 0.830030i | \(0.311677\pi\) | ||||
−0.557719 | + | 0.830030i | \(0.688323\pi\) | |||||||
\(132\) | −11.7991 | − | 6.37771i | −0.0893874 | − | 0.0483160i | ||||
\(133\) | − | 44.4655i | − | 0.334327i | ||||||
\(134\) | − | 146.199i | − | 1.09104i | ||||||
\(135\) | −96.0464 | + | 94.8688i | −0.711455 | + | 0.702732i | ||||
\(136\) | 27.3244 | 0.200914 | ||||||||
\(137\) | −89.8051 | −0.655512 | −0.327756 | − | 0.944762i | \(-0.606292\pi\) | ||||
−0.327756 | + | 0.944762i | \(0.606292\pi\) | |||||||
\(138\) | 9.67511 | − | 17.8995i | 0.0701095 | − | 0.129707i | ||||
\(139\) | −250.096 | −1.79925 | −0.899626 | − | 0.436661i | \(-0.856161\pi\) | ||||
−0.899626 | + | 0.436661i | \(0.856161\pi\) | |||||||
\(140\) | 81.4619 | + | 97.6923i | 0.581871 | + | 0.697802i | ||||
\(141\) | 18.0910 | − | 33.4693i | 0.128305 | − | 0.237371i | ||||
\(142\) | 146.135i | 1.02912i | ||||||||
\(143\) | −1.42119 | −0.00993838 | ||||||||
\(144\) | −19.7204 | − | 30.1182i | −0.136947 | − | 0.209154i | ||||
\(145\) | −117.948 | − | 141.448i | −0.813434 | − | 0.975502i | ||||
\(146\) | − | 93.9444i | − | 0.643455i | ||||||
\(147\) | 160.909 | − | 297.690i | 1.09462 | − | 2.02510i | ||||
\(148\) | 4.10078i | 0.0277080i | ||||||||
\(149\) | − | 252.216i | − | 1.69272i | −0.532609 | − | 0.846361i | \(-0.678788\pi\) | ||
0.532609 | − | 0.846361i | \(-0.321212\pi\) | |||||||
\(150\) | −82.7246 | − | 66.3825i | −0.551497 | − | 0.442550i | ||||
\(151\) | −209.187 | −1.38535 | −0.692673 | − | 0.721252i | \(-0.743567\pi\) | ||||
−0.692673 | + | 0.721252i | \(0.743567\pi\) | |||||||
\(152\) | −9.88738 | −0.0650486 | ||||||||
\(153\) | 47.6278 | + | 72.7402i | 0.311293 | + | 0.475426i | ||||
\(154\) | −40.2124 | −0.261120 | ||||||||
\(155\) | −149.377 | + | 124.560i | −0.963721 | + | 0.803610i | ||||
\(156\) | −3.35572 | − | 1.81385i | −0.0215110 | − | 0.0116272i | ||||
\(157\) | 159.472i | 1.01574i | 0.861433 | + | 0.507872i | \(0.169568\pi\) | ||||
−0.861433 | + | 0.507872i | \(0.830432\pi\) | |||||||
\(158\) | 88.0670 | 0.557386 | ||||||||
\(159\) | 45.8526 | − | 84.8299i | 0.288381 | − | 0.533521i | ||||
\(160\) | 21.7229 | − | 18.1139i | 0.135768 | − | 0.113212i | ||||
\(161\) | − | 61.0030i | − | 0.378900i | ||||||
\(162\) | 45.8039 | − | 104.995i | 0.282740 | − | 0.648119i | ||||
\(163\) | 55.1297i | 0.338219i | 0.985597 | + | 0.169110i | \(0.0540892\pi\) | ||||
−0.985597 | + | 0.169110i | \(0.945911\pi\) | |||||||
\(164\) | − | 41.8165i | − | 0.254979i | ||||||
\(165\) | 32.8661 | − | 6.64557i | 0.199188 | − | 0.0402762i | ||||
\(166\) | 31.0929 | 0.187307 | ||||||||
\(167\) | 303.620 | 1.81808 | 0.909042 | − | 0.416704i | \(-0.136815\pi\) | ||||
0.909042 | + | 0.416704i | \(0.136815\pi\) | |||||||
\(168\) | −94.9498 | − | 51.3226i | −0.565177 | − | 0.305492i | ||||
\(169\) | 168.596 | 0.997608 | ||||||||
\(170\) | −52.4643 | + | 43.7480i | −0.308613 | + | 0.257341i | ||||
\(171\) | −17.2342 | − | 26.3212i | −0.100785 | − | 0.153925i | ||||
\(172\) | 88.7947i | 0.516248i | ||||||||
\(173\) | −88.9298 | −0.514045 | −0.257022 | − | 0.966405i | \(-0.582741\pi\) | ||||
−0.257022 | + | 0.966405i | \(0.582741\pi\) | |||||||
\(174\) | 137.477 | + | 74.3096i | 0.790097 | + | 0.427067i | ||||
\(175\) | −312.823 | − | 57.1491i | −1.78756 | − | 0.326566i | ||||
\(176\) | 8.94166i | 0.0508049i | ||||||||
\(177\) | −91.4072 | − | 49.4078i | −0.516425 | − | 0.279140i | ||||
\(178\) | − | 17.5591i | − | 0.0986467i | ||||||
\(179\) | 40.6656i | 0.227182i | 0.993528 | + | 0.113591i | \(0.0362354\pi\) | ||||
−0.993528 | + | 0.113591i | \(0.963765\pi\) | |||||||
\(180\) | 86.0853 | + | 26.2550i | 0.478251 | + | 0.145861i | ||||
\(181\) | 210.241 | 1.16155 | 0.580776 | − | 0.814064i | \(-0.302749\pi\) | ||||
0.580776 | + | 0.814064i | \(0.302749\pi\) | |||||||
\(182\) | −11.4366 | −0.0628383 | ||||||||
\(183\) | −21.9755 | + | 40.6559i | −0.120085 | + | 0.222164i | ||||
\(184\) | −13.5647 | −0.0737210 | ||||||||
\(185\) | −6.56560 | − | 7.87373i | −0.0354897 | − | 0.0425607i | ||||
\(186\) | 78.4750 | − | 145.183i | 0.421909 | − | 0.780555i | ||||
\(187\) | − | 21.5955i | − | 0.115484i | ||||||
\(188\) | −25.3638 | −0.134914 | ||||||||
\(189\) | −28.8766 | − | 342.224i | −0.152786 | − | 1.81071i | ||||
\(190\) | 18.9843 | − | 15.8303i | 0.0999174 | − | 0.0833174i | ||||
\(191\) | 318.625i | 1.66820i | 0.551617 | + | 0.834098i | \(0.314011\pi\) | ||||
−0.551617 | + | 0.834098i | \(0.685989\pi\) | |||||||
\(192\) | −11.4121 | + | 21.1131i | −0.0594382 | + | 0.109964i | ||||
\(193\) | − | 113.876i | − | 0.590032i | −0.955492 | − | 0.295016i | \(-0.904675\pi\) | ||
0.955492 | − | 0.295016i | \(-0.0953249\pi\) | |||||||
\(194\) | − | 155.660i | − | 0.802373i | ||||||
\(195\) | 9.34724 | − | 1.89003i | 0.0479346 | − | 0.00969244i | ||||
\(196\) | −225.597 | −1.15100 | ||||||||
\(197\) | 116.479 | 0.591265 | 0.295633 | − | 0.955302i | \(-0.404470\pi\) | ||||
0.295633 | + | 0.955302i | \(0.404470\pi\) | |||||||
\(198\) | −23.8036 | + | 15.5858i | −0.120220 | + | 0.0787161i | ||||
\(199\) | 370.323 | 1.86092 | 0.930460 | − | 0.366393i | \(-0.119407\pi\) | ||||
0.930460 | + | 0.366393i | \(0.119407\pi\) | |||||||
\(200\) | −12.7077 | + | 69.5594i | −0.0635385 | + | 0.347797i | ||||
\(201\) | −272.829 | − | 147.471i | −1.35736 | − | 0.733686i | ||||
\(202\) | − | 91.0988i | − | 0.450984i | ||||||
\(203\) | 468.533 | 2.30804 | ||||||||
\(204\) | 27.5621 | − | 50.9914i | 0.135108 | − | 0.249958i | ||||
\(205\) | 66.9507 | + | 80.2899i | 0.326589 | + | 0.391658i | ||||
\(206\) | − | 204.916i | − | 0.994738i | ||||||
\(207\) | −23.6439 | − | 36.1105i | −0.114222 | − | 0.174447i | ||||
\(208\) | 2.54304i | 0.0122262i | ||||||||
\(209\) | 7.81438i | 0.0373894i | ||||||||
\(210\) | 264.479 | − | 53.4781i | 1.25943 | − | 0.254658i | ||||
\(211\) | −224.564 | −1.06429 | −0.532143 | − | 0.846654i | \(-0.678613\pi\) | ||||
−0.532143 | + | 0.846654i | \(0.678613\pi\) | |||||||
\(212\) | −64.2860 | −0.303236 | ||||||||
\(213\) | 272.710 | + | 147.406i | 1.28033 | + | 0.692048i | ||||
\(214\) | −236.028 | −1.10294 | ||||||||
\(215\) | −142.166 | − | 170.491i | −0.661236 | − | 0.792980i | ||||
\(216\) | −76.0971 | + | 6.42102i | −0.352301 | + | 0.0297270i | ||||
\(217\) | − | 494.796i | − | 2.28017i | ||||||
\(218\) | −98.2285 | −0.450589 | ||||||||
\(219\) | −175.314 | − | 94.7617i | −0.800523 | − | 0.432702i | ||||
\(220\) | −14.3161 | − | 17.1685i | −0.0650733 | − | 0.0780385i | ||||
\(221\) | − | 6.14184i | − | 0.0277912i | ||||||
\(222\) | 7.65269 | + | 4.13646i | 0.0344716 | + | 0.0186327i | ||||
\(223\) | 197.151i | 0.884087i | 0.896994 | + | 0.442043i | \(0.145746\pi\) | ||||
−0.896994 | + | 0.442043i | \(0.854254\pi\) | |||||||
\(224\) | 71.9552i | 0.321228i | ||||||||
\(225\) | −207.324 | + | 87.4166i | −0.921441 | + | 0.388518i | ||||
\(226\) | −136.902 | −0.605762 | ||||||||
\(227\) | −128.576 | −0.566413 | −0.283206 | − | 0.959059i | \(-0.591398\pi\) | ||||
−0.283206 | + | 0.959059i | \(0.591398\pi\) | |||||||
\(228\) | −9.97340 | + | 18.4514i | −0.0437430 | + | 0.0809270i | ||||
\(229\) | 105.653 | 0.461366 | 0.230683 | − | 0.973029i | \(-0.425904\pi\) | ||||
0.230683 | + | 0.973029i | \(0.425904\pi\) | |||||||
\(230\) | 26.0449 | − | 21.7178i | 0.113239 | − | 0.0944254i | ||||
\(231\) | −40.5623 | + | 75.0425i | −0.175594 | + | 0.324859i | ||||
\(232\) | − | 104.183i | − | 0.449066i | ||||||
\(233\) | 198.584 | 0.852292 | 0.426146 | − | 0.904654i | \(-0.359871\pi\) | ||||
0.426146 | + | 0.904654i | \(0.359871\pi\) | |||||||
\(234\) | −6.76983 | + | 4.43266i | −0.0289309 | + | 0.0189430i | ||||
\(235\) | 48.6999 | − | 40.6090i | 0.207233 | − | 0.172804i | ||||
\(236\) | 69.2705i | 0.293519i | ||||||||
\(237\) | 88.8332 | − | 164.346i | 0.374824 | − | 0.693445i | ||||
\(238\) | − | 173.783i | − | 0.730180i | ||||||
\(239\) | 91.1474i | 0.381370i | 0.981651 | + | 0.190685i | \(0.0610709\pi\) | ||||
−0.981651 | + | 0.190685i | \(0.938929\pi\) | |||||||
\(240\) | −11.8914 | − | 58.8098i | −0.0495476 | − | 0.245041i | ||||
\(241\) | 347.855 | 1.44338 | 0.721691 | − | 0.692215i | \(-0.243365\pi\) | ||||
0.721691 | + | 0.692215i | \(0.243365\pi\) | |||||||
\(242\) | −164.053 | −0.677905 | ||||||||
\(243\) | −149.735 | − | 191.386i | −0.616192 | − | 0.787596i | ||||
\(244\) | 30.8100 | 0.126271 | ||||||||
\(245\) | 433.158 | − | 361.194i | 1.76799 | − | 1.47426i | ||||
\(246\) | −78.0360 | − | 42.1803i | −0.317219 | − | 0.171465i | ||||
\(247\) | 2.22244i | 0.00899773i | ||||||||
\(248\) | −110.023 | −0.443642 | ||||||||
\(249\) | 31.3634 | − | 58.0241i | 0.125957 | − | 0.233028i | ||||
\(250\) | −86.9694 | − | 153.904i | −0.347877 | − | 0.615615i | ||||
\(251\) | − | 34.9738i | − | 0.139338i | −0.997570 | − | 0.0696689i | \(-0.977806\pi\) | ||
0.997570 | − | 0.0696689i | \(-0.0221943\pi\) | |||||||
\(252\) | −191.552 | + | 125.422i | −0.760126 | + | 0.497705i | ||||
\(253\) | 10.7207i | 0.0423742i | ||||||||
\(254\) | 173.555i | 0.683286i | ||||||||
\(255\) | 28.7197 | + | 142.035i | 0.112626 | + | 0.556999i | ||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | −386.706 | −1.50469 | −0.752347 | − | 0.658767i | \(-0.771078\pi\) | ||||
−0.752347 | + | 0.658767i | \(0.771078\pi\) | |||||||
\(258\) | 165.704 | + | 89.5672i | 0.642265 | + | 0.347160i | ||||
\(259\) | 26.0810 | 0.100699 | ||||||||
\(260\) | −4.07156 | − | 4.88278i | −0.0156599 | − | 0.0187799i | ||||
\(261\) | 277.346 | − | 181.597i | 1.06263 | − | 0.695773i | ||||
\(262\) | − | 307.546i | − | 1.17384i | ||||||
\(263\) | 194.450 | 0.739353 | 0.369676 | − | 0.929161i | \(-0.379469\pi\) | ||||
0.369676 | + | 0.929161i | \(0.379469\pi\) | |||||||
\(264\) | 16.6865 | + | 9.01945i | 0.0632064 | + | 0.0341646i | ||||
\(265\) | 123.433 | − | 102.926i | 0.465784 | − | 0.388399i | ||||
\(266\) | 62.8838i | 0.236405i | ||||||||
\(267\) | −32.7680 | − | 17.7119i | −0.122726 | − | 0.0663366i | ||||
\(268\) | 206.756i | 0.771479i | ||||||||
\(269\) | − | 218.046i | − | 0.810578i | −0.914189 | − | 0.405289i | \(-0.867171\pi\) | ||
0.914189 | − | 0.405289i | \(-0.132829\pi\) | |||||||
\(270\) | 135.830 | − | 134.165i | 0.503074 | − | 0.496907i | ||||
\(271\) | 71.7319 | 0.264693 | 0.132347 | − | 0.991203i | \(-0.457749\pi\) | ||||
0.132347 | + | 0.991203i | \(0.457749\pi\) | |||||||
\(272\) | −38.6425 | −0.142068 | ||||||||
\(273\) | −11.5361 | + | 21.3424i | −0.0422566 | + | 0.0781772i | ||||
\(274\) | 127.004 | 0.463517 | ||||||||
\(275\) | 54.9755 | + | 10.0434i | 0.199911 | + | 0.0365214i | ||||
\(276\) | −13.6827 | + | 25.3137i | −0.0495749 | + | 0.0917164i | ||||
\(277\) | 349.558i | 1.26194i | 0.775807 | + | 0.630971i | \(0.217343\pi\) | ||||
−0.775807 | + | 0.630971i | \(0.782657\pi\) | |||||||
\(278\) | 353.689 | 1.27226 | ||||||||
\(279\) | −191.776 | − | 292.893i | −0.687371 | − | 1.04979i | ||||
\(280\) | −115.205 | − | 138.158i | −0.411445 | − | 0.493421i | ||||
\(281\) | − | 211.507i | − | 0.752695i | −0.926479 | − | 0.376348i | \(-0.877180\pi\) | ||
0.926479 | − | 0.376348i | \(-0.122820\pi\) | |||||||
\(282\) | −25.5845 | + | 47.3327i | −0.0907251 | + | 0.167847i | ||||
\(283\) | 372.989i | 1.31798i | 0.752151 | + | 0.658991i | \(0.229017\pi\) | ||||
−0.752151 | + | 0.658991i | \(0.770983\pi\) | |||||||
\(284\) | − | 206.666i | − | 0.727697i | ||||||
\(285\) | −10.3923 | − | 51.3956i | −0.0364641 | − | 0.180336i | ||||
\(286\) | 2.00986 | 0.00702750 | ||||||||
\(287\) | −265.953 | −0.926665 | ||||||||
\(288\) | 27.8888 | + | 42.5936i | 0.0968363 | + | 0.147894i | ||||
\(289\) | −195.672 | −0.677067 | ||||||||
\(290\) | 166.804 | + | 200.037i | 0.575185 | + | 0.689784i | ||||
\(291\) | −290.486 | − | 157.015i | −0.998234 | − | 0.539569i | ||||
\(292\) | 132.857i | 0.454991i | ||||||||
\(293\) | 396.910 | 1.35464 | 0.677321 | − | 0.735688i | \(-0.263141\pi\) | ||||
0.677321 | + | 0.735688i | \(0.263141\pi\) | |||||||
\(294\) | −227.559 | + | 420.998i | −0.774011 | + | 1.43197i | ||||
\(295\) | −110.906 | − | 133.003i | −0.375953 | − | 0.450858i | ||||
\(296\) | − | 5.79939i | − | 0.0195925i | ||||||
\(297\) | 5.07478 | + | 60.1425i | 0.0170868 | + | 0.202500i | ||||
\(298\) | 356.687i | 1.19694i | ||||||||
\(299\) | 3.04900i | 0.0101973i | ||||||||
\(300\) | 116.990 | + | 93.8791i | 0.389967 | + | 0.312930i | ||||
\(301\) | 564.734 | 1.87619 | ||||||||
\(302\) | 295.835 | 0.979587 | ||||||||
\(303\) | −170.004 | − | 91.8914i | −0.561070 | − | 0.303272i | ||||
\(304\) | 13.9829 | 0.0459963 | ||||||||
\(305\) | −59.1569 | + | 49.3287i | −0.193957 | + | 0.161733i | ||||
\(306\) | −67.3559 | − | 102.870i | −0.220117 | − | 0.336177i | ||||
\(307\) | − | 286.658i | − | 0.933738i | −0.884326 | − | 0.466869i | \(-0.845382\pi\) | ||
0.884326 | − | 0.466869i | \(-0.154618\pi\) | |||||||
\(308\) | 56.8689 | 0.184639 | ||||||||
\(309\) | −382.405 | − | 206.699i | −1.23756 | − | 0.668928i | ||||
\(310\) | 211.251 | − | 176.154i | 0.681454 | − | 0.568238i | ||||
\(311\) | 97.0383i | 0.312020i | 0.987755 | + | 0.156010i | \(0.0498632\pi\) | ||||
−0.987755 | + | 0.156010i | \(0.950137\pi\) | |||||||
\(312\) | 4.74571 | + | 2.56517i | 0.0152106 | + | 0.00822169i | ||||
\(313\) | − | 250.556i | − | 0.800497i | −0.916407 | − | 0.400249i | \(-0.868924\pi\) | ||
0.916407 | − | 0.400249i | \(-0.131076\pi\) | |||||||
\(314\) | − | 225.527i | − | 0.718239i | ||||||
\(315\) | 166.982 | − | 547.502i | 0.530102 | − | 1.73810i | ||||
\(316\) | −124.546 | −0.394131 | ||||||||
\(317\) | −375.250 | −1.18375 | −0.591877 | − | 0.806029i | \(-0.701613\pi\) | ||||
−0.591877 | + | 0.806029i | \(0.701613\pi\) | |||||||
\(318\) | −64.8453 | + | 119.968i | −0.203916 | + | 0.377256i | ||||
\(319\) | −82.3400 | −0.258119 | ||||||||
\(320\) | −30.7209 | + | 25.6170i | −0.0960027 | + | 0.0800530i | ||||
\(321\) | −238.082 | + | 440.465i | −0.741687 | + | 1.37216i | ||||
\(322\) | 86.2712i | 0.267923i | ||||||||
\(323\) | −33.7708 | −0.104554 | ||||||||
\(324\) | −64.7765 | + | 148.486i | −0.199928 | + | 0.458289i | ||||
\(325\) | 15.6352 | + | 2.85638i | 0.0481084 | + | 0.00878886i | ||||
\(326\) | − | 77.9652i | − | 0.239157i | ||||||
\(327\) | −99.0830 | + | 183.309i | −0.303006 | + | 0.560579i | ||||
\(328\) | 59.1375i | 0.180297i | ||||||||
\(329\) | 161.314i | 0.490315i | ||||||||
\(330\) | −46.4797 | + | 9.39825i | −0.140847 | + | 0.0284796i | ||||
\(331\) | −388.785 | −1.17458 | −0.587288 | − | 0.809378i | \(-0.699804\pi\) | ||||
−0.587288 | + | 0.809378i | \(0.699804\pi\) | |||||||
\(332\) | −43.9720 | −0.132446 | ||||||||
\(333\) | 15.4385 | − | 10.1086i | 0.0463620 | − | 0.0303563i | ||||
\(334\) | −429.384 | −1.28558 | ||||||||
\(335\) | −331.029 | − | 396.983i | −0.988148 | − | 1.18503i | ||||
\(336\) | 134.279 | + | 72.5812i | 0.399641 | + | 0.216015i | ||||
\(337\) | 12.3879i | 0.0367594i | 0.999831 | + | 0.0183797i | \(0.00585077\pi\) | ||||
−0.999831 | + | 0.0183797i | \(0.994149\pi\) | |||||||
\(338\) | −238.430 | −0.705416 | ||||||||
\(339\) | −138.093 | + | 255.480i | −0.407355 | + | 0.753630i | ||||
\(340\) | 74.1957 | − | 61.8690i | 0.218223 | − | 0.181968i | ||||
\(341\) | 86.9556i | 0.255002i | ||||||||
\(342\) | 24.3729 | + | 37.2238i | 0.0712657 | + | 0.108841i | ||||
\(343\) | 811.515i | 2.36593i | ||||||||
\(344\) | − | 125.575i | − | 0.365043i | ||||||
\(345\) | −14.2573 | − | 70.5105i | −0.0413256 | − | 0.204378i | ||||
\(346\) | 125.766 | 0.363485 | ||||||||
\(347\) | 229.016 | 0.659989 | 0.329995 | − | 0.943983i | \(-0.392953\pi\) | ||||
0.329995 | + | 0.943983i | \(0.392953\pi\) | |||||||
\(348\) | −194.422 | − | 105.090i | −0.558683 | − | 0.301982i | ||||
\(349\) | 319.299 | 0.914896 | 0.457448 | − | 0.889236i | \(-0.348764\pi\) | ||||
0.457448 | + | 0.889236i | \(0.348764\pi\) | |||||||
\(350\) | 442.398 | + | 80.8210i | 1.26399 | + | 0.230917i | ||||
\(351\) | 1.44329 | + | 17.1048i | 0.00411193 | + | 0.0487315i | ||||
\(352\) | − | 12.6454i | − | 0.0359245i | ||||||
\(353\) | 570.384 | 1.61582 | 0.807909 | − | 0.589308i | \(-0.200599\pi\) | ||||
0.807909 | + | 0.589308i | \(0.200599\pi\) | |||||||
\(354\) | 129.269 | + | 69.8732i | 0.365168 | + | 0.197382i | ||||
\(355\) | 330.885 | + | 396.810i | 0.932069 | + | 1.11777i | ||||
\(356\) | 24.8323i | 0.0697537i | ||||||||
\(357\) | −324.305 | − | 175.295i | −0.908419 | − | 0.491022i | ||||
\(358\) | − | 57.5099i | − | 0.160642i | ||||||
\(359\) | 589.158i | 1.64111i | 0.571569 | + | 0.820554i | \(0.306335\pi\) | ||||
−0.571569 | + | 0.820554i | \(0.693665\pi\) | |||||||
\(360\) | −121.743 | − | 37.1302i | −0.338175 | − | 0.103140i | ||||
\(361\) | −348.780 | −0.966149 | ||||||||
\(362\) | −297.325 | −0.821341 | ||||||||
\(363\) | −165.480 | + | 306.148i | −0.455868 | + | 0.843382i | ||||
\(364\) | 16.1737 | 0.0444334 | ||||||||
\(365\) | −212.713 | − | 255.093i | −0.582774 | − | 0.698886i | ||||
\(366\) | 31.0781 | − | 57.4962i | 0.0849127 | − | 0.157093i | ||||
\(367\) | − | 306.861i | − | 0.836134i | −0.908416 | − | 0.418067i | \(-0.862708\pi\) | ||
0.908416 | − | 0.418067i | \(-0.137292\pi\) | |||||||
\(368\) | 19.1833 | 0.0521286 | ||||||||
\(369\) | −157.430 | + | 103.080i | −0.426639 | + | 0.279349i | ||||
\(370\) | 9.28516 | + | 11.1351i | 0.0250950 | + | 0.0300950i | ||||
\(371\) | 408.859i | 1.10205i | ||||||||
\(372\) | −110.980 | + | 205.320i | −0.298335 | + | 0.551936i | ||||
\(373\) | 543.484i | 1.45706i | 0.685013 | + | 0.728531i | \(0.259796\pi\) | ||||
−0.685013 | + | 0.728531i | \(0.740204\pi\) | |||||||
\(374\) | 30.5406i | 0.0816595i | ||||||||
\(375\) | −374.934 | + | 7.05548i | −0.999823 | + | 0.0188146i | ||||
\(376\) | 35.8698 | 0.0953985 | ||||||||
\(377\) | −23.4178 | −0.0621162 | ||||||||
\(378\) | 40.8377 | + | 483.978i | 0.108036 | + | 1.28036i | ||||
\(379\) | −73.5844 | −0.194154 | −0.0970770 | − | 0.995277i | \(-0.530949\pi\) | ||||
−0.0970770 | + | 0.995277i | \(0.530949\pi\) | |||||||
\(380\) | −26.8479 | + | 22.3874i | −0.0706523 | + | 0.0589143i | ||||
\(381\) | 323.880 | + | 175.065i | 0.850078 | + | 0.459487i | ||||
\(382\) | − | 450.604i | − | 1.17959i | ||||||
\(383\) | 20.0331 | 0.0523056 | 0.0261528 | − | 0.999658i | \(-0.491674\pi\) | ||||
0.0261528 | + | 0.999658i | \(0.491674\pi\) | |||||||
\(384\) | 16.1392 | − | 29.8584i | 0.0420292 | − | 0.0777563i | ||||
\(385\) | −109.191 | + | 91.0506i | −0.283614 | + | 0.236495i | ||||
\(386\) | 161.045i | 0.417215i | ||||||||
\(387\) | 334.292 | − | 218.883i | 0.863804 | − | 0.565590i | ||||
\(388\) | 220.137i | 0.567364i | ||||||||
\(389\) | 209.712i | 0.539105i | 0.962986 | + | 0.269552i | \(0.0868758\pi\) | ||||
−0.962986 | + | 0.269552i | \(0.913124\pi\) | |||||||
\(390\) | −13.2190 | + | 2.67290i | −0.0338949 | + | 0.00685359i | ||||
\(391\) | −46.3307 | −0.118493 | ||||||||
\(392\) | 319.042 | 0.813882 | ||||||||
\(393\) | −573.928 | − | 310.222i | −1.46038 | − | 0.789368i | ||||
\(394\) | −164.727 | −0.418088 | ||||||||
\(395\) | 239.134 | − | 199.405i | 0.605403 | − | 0.504823i | ||||
\(396\) | 33.6633 | − | 22.0416i | 0.0850084 | − | 0.0556607i | ||||
\(397\) | − | 157.646i | − | 0.397094i | −0.980091 | − | 0.198547i | \(-0.936378\pi\) | ||
0.980091 | − | 0.198547i | \(-0.0636222\pi\) | |||||||
\(398\) | −523.716 | −1.31587 | ||||||||
\(399\) | 117.351 | + | 63.4308i | 0.294112 | + | 0.158975i | ||||
\(400\) | 17.9714 | − | 98.3719i | 0.0449285 | − | 0.245930i | ||||
\(401\) | 322.191i | 0.803469i | 0.915756 | + | 0.401735i | \(0.131593\pi\) | ||||
−0.915756 | + | 0.401735i | \(0.868407\pi\) | |||||||
\(402\) | 385.839 | + | 208.555i | 0.959798 | + | 0.518794i | ||||
\(403\) | 24.7305i | 0.0613661i | ||||||||
\(404\) | 128.833i | 0.318894i | ||||||||
\(405\) | −113.360 | − | 388.812i | −0.279901 | − | 0.960029i | ||||
\(406\) | −662.605 | −1.63203 | ||||||||
\(407\) | −4.58348 | −0.0112616 | ||||||||
\(408\) | −38.9787 | + | 72.1128i | −0.0955360 | + | 0.176747i | ||||
\(409\) | 435.863 | 1.06568 | 0.532839 | − | 0.846216i | \(-0.321125\pi\) | ||||
0.532839 | + | 0.846216i | \(0.321125\pi\) | |||||||
\(410\) | −94.6827 | − | 113.547i | −0.230933 | − | 0.276944i | ||||
\(411\) | 128.109 | − | 237.008i | 0.311700 | − | 0.576662i | ||||
\(412\) | 289.795i | 0.703386i | ||||||||
\(413\) | 440.560 | 1.06673 | ||||||||
\(414\) | 33.4375 | + | 51.0679i | 0.0807670 | + | 0.123352i | ||||
\(415\) | 84.4286 | − | 70.4018i | 0.203442 | − | 0.169643i | ||||
\(416\) | − | 3.59641i | − | 0.00864521i | ||||||
\(417\) | 356.766 | − | 660.038i | 0.855555 | − | 1.58283i | ||||
\(418\) | − | 11.0512i | − | 0.0264383i | ||||||
\(419\) | − | 80.0264i | − | 0.190994i | −0.995430 | − | 0.0954970i | \(-0.969556\pi\) | ||
0.995430 | − | 0.0954970i | \(-0.0304440\pi\) | |||||||
\(420\) | −374.030 | + | 75.6295i | −0.890548 | + | 0.180070i | ||||
\(421\) | 374.853 | 0.890388 | 0.445194 | − | 0.895434i | \(-0.353135\pi\) | ||||
0.445194 | + | 0.895434i | \(0.353135\pi\) | |||||||
\(422\) | 317.582 | 0.752564 | ||||||||
\(423\) | 62.5230 | + | 95.4890i | 0.147809 | + | 0.225742i | ||||
\(424\) | 90.9142 | 0.214420 | ||||||||
\(425\) | −43.4037 | + | 237.583i | −0.102126 | + | 0.559020i | ||||
\(426\) | −385.670 | − | 208.464i | −0.905329 | − | 0.489352i | ||||
\(427\) | − | 195.952i | − | 0.458903i | ||||||
\(428\) | 333.794 | 0.779893 | ||||||||
\(429\) | 2.02735 | − | 3.75071i | 0.00472576 | − | 0.00874292i | ||||
\(430\) | 201.053 | + | 241.110i | 0.467564 | + | 0.560721i | ||||
\(431\) | 773.014i | 1.79354i | 0.442501 | + | 0.896768i | \(0.354091\pi\) | ||||
−0.442501 | + | 0.896768i | \(0.645909\pi\) | |||||||
\(432\) | 107.618 | − | 9.08070i | 0.249115 | − | 0.0210201i | ||||
\(433\) | − | 415.396i | − | 0.959344i | −0.877448 | − | 0.479672i | \(-0.840756\pi\) | ||
0.877448 | − | 0.479672i | \(-0.159244\pi\) | |||||||
\(434\) | 699.748i | 1.61232i | ||||||||
\(435\) | 541.555 | − | 109.503i | 1.24495 | − | 0.251732i | ||||
\(436\) | 138.916 | 0.318615 | ||||||||
\(437\) | 16.7649 | 0.0383636 | ||||||||
\(438\) | 247.932 | + | 134.013i | 0.566055 | + | 0.305966i | ||||
\(439\) | −262.230 | −0.597335 | −0.298668 | − | 0.954357i | \(-0.596542\pi\) | ||||
−0.298668 | + | 0.954357i | \(0.596542\pi\) | |||||||
\(440\) | 20.2461 | + | 24.2799i | 0.0460138 | + | 0.0551815i | ||||
\(441\) | 556.107 | + | 849.321i | 1.26101 | + | 1.92590i | ||||
\(442\) | 8.68588i | 0.0196513i | ||||||||
\(443\) | −771.627 | −1.74182 | −0.870910 | − | 0.491442i | \(-0.836470\pi\) | ||||
−0.870910 | + | 0.491442i | \(0.836470\pi\) | |||||||
\(444\) | −10.8225 | − | 5.84984i | −0.0243751 | − | 0.0131753i | ||||
\(445\) | −39.7580 | − | 47.6794i | −0.0893439 | − | 0.107145i | ||||
\(446\) | − | 278.814i | − | 0.625144i | ||||||
\(447\) | 665.632 | + | 359.790i | 1.48911 | + | 0.804899i | ||||
\(448\) | − | 101.760i | − | 0.227143i | ||||||
\(449\) | − | 166.554i | − | 0.370943i | −0.982650 | − | 0.185472i | \(-0.940619\pi\) | ||
0.982650 | − | 0.185472i | \(-0.0593813\pi\) | |||||||
\(450\) | 293.201 | − | 123.626i | 0.651557 | − | 0.274724i | ||||
\(451\) | 46.7386 | 0.103633 | ||||||||
\(452\) | 193.609 | 0.428339 | ||||||||
\(453\) | 298.409 | − | 552.074i | 0.658740 | − | 1.21871i | ||||
\(454\) | 181.833 | 0.400514 | ||||||||
\(455\) | −31.0545 | + | 25.8951i | −0.0682516 | + | 0.0569124i | ||||
\(456\) | 14.1045 | − | 26.0942i | 0.0309310 | − | 0.0572241i | ||||
\(457\) | − | 324.543i | − | 0.710159i | −0.934836 | − | 0.355079i | \(-0.884454\pi\) | ||
0.934836 | − | 0.355079i | \(-0.115546\pi\) | |||||||
\(458\) | −149.416 | −0.326235 | ||||||||
\(459\) | −259.913 | + | 21.9313i | −0.566260 | + | 0.0477806i | ||||
\(460\) | −36.8330 | + | 30.7137i | −0.0800718 | + | 0.0667688i | ||||
\(461\) | − | 575.072i | − | 1.24744i | −0.781646 | − | 0.623722i | \(-0.785620\pi\) | ||
0.781646 | − | 0.623722i | \(-0.214380\pi\) | |||||||
\(462\) | 57.3637 | − | 106.126i | 0.124164 | − | 0.229710i | ||||
\(463\) | 768.386i | 1.65958i | 0.558074 | + | 0.829791i | \(0.311540\pi\) | ||||
−0.558074 | + | 0.829791i | \(0.688460\pi\) | |||||||
\(464\) | 147.337i | 0.317537i | ||||||||
\(465\) | −115.642 | − | 571.912i | −0.248691 | − | 1.22992i | ||||
\(466\) | −280.840 | −0.602662 | ||||||||
\(467\) | 619.812 | 1.32722 | 0.663610 | − | 0.748079i | \(-0.269023\pi\) | ||||
0.663610 | + | 0.748079i | \(0.269023\pi\) | |||||||
\(468\) | 9.57398 | − | 6.26872i | 0.0204572 | − | 0.0133947i | ||||
\(469\) | 1314.97 | 2.80378 | ||||||||
\(470\) | −68.8720 | + | 57.4298i | −0.146536 | + | 0.122191i | ||||
\(471\) | −420.868 | − | 227.489i | −0.893563 | − | 0.482992i | ||||
\(472\) | − | 97.9633i | − | 0.207549i | ||||||
\(473\) | −99.2465 | −0.209823 | ||||||||
\(474\) | −125.629 | + | 232.421i | −0.265040 | + | 0.490340i | ||||
\(475\) | 15.7057 | − | 85.9701i | 0.0330647 | − | 0.180990i | ||||
\(476\) | 245.766i | 0.516316i | ||||||||
\(477\) | 158.468 | + | 242.023i | 0.332219 | + | 0.507385i | ||||
\(478\) | − | 128.902i | − | 0.269669i | ||||||
\(479\) | − | 330.303i | − | 0.689568i | −0.938682 | − | 0.344784i | \(-0.887952\pi\) | ||
0.938682 | − | 0.344784i | \(-0.112048\pi\) | |||||||
\(480\) | 16.8170 | + | 83.1696i | 0.0350355 | + | 0.173270i | ||||
\(481\) | −1.30356 | −0.00271010 | ||||||||
\(482\) | −491.942 | −1.02063 | ||||||||
\(483\) | 160.995 | + | 87.0218i | 0.333323 | + | 0.180169i | ||||
\(484\) | 232.006 | 0.479351 | ||||||||
\(485\) | −352.453 | − | 422.675i | −0.726707 | − | 0.871495i | ||||
\(486\) | 211.757 | + | 270.660i | 0.435714 | + | 0.556914i | ||||
\(487\) | 766.837i | 1.57461i | 0.616562 | + | 0.787307i | \(0.288525\pi\) | ||||
−0.616562 | + | 0.787307i | \(0.711475\pi\) | |||||||
\(488\) | −43.5719 | −0.0892867 | ||||||||
\(489\) | −145.495 | − | 78.6435i | −0.297536 | − | 0.160825i | ||||
\(490\) | −612.578 | + | 510.805i | −1.25016 | + | 1.04246i | ||||
\(491\) | − | 171.008i | − | 0.348286i | −0.984720 | − | 0.174143i | \(-0.944285\pi\) | ||
0.984720 | − | 0.174143i | \(-0.0557154\pi\) | |||||||
\(492\) | 110.360 | + | 59.6520i | 0.224308 | + | 0.121244i | ||||
\(493\) | − | 355.843i | − | 0.721790i | ||||||
\(494\) | − | 3.14301i | − | 0.00636236i | ||||||
\(495\) | −29.3454 | + | 96.2181i | −0.0592837 | + | 0.194380i | ||||
\(496\) | 155.596 | 0.313702 | ||||||||
\(497\) | −1314.39 | −2.64466 | ||||||||
\(498\) | −44.3546 | + | 82.0585i | −0.0890654 | + | 0.164776i | ||||
\(499\) | 659.800 | 1.32224 | 0.661122 | − | 0.750278i | \(-0.270081\pi\) | ||||
0.661122 | + | 0.750278i | \(0.270081\pi\) | |||||||
\(500\) | 122.993 | + | 217.653i | 0.245987 | + | 0.435305i | ||||
\(501\) | −433.119 | + | 801.295i | −0.864509 | + | 1.59939i | ||||
\(502\) | 49.4604i | 0.0985268i | ||||||||
\(503\) | −398.315 | −0.791879 | −0.395939 | − | 0.918277i | \(-0.629581\pi\) | ||||
−0.395939 | + | 0.918277i | \(0.629581\pi\) | |||||||
\(504\) | 270.895 | − | 177.373i | 0.537490 | − | 0.351931i | ||||
\(505\) | −206.270 | − | 247.367i | −0.408455 | − | 0.489835i | ||||
\(506\) | − | 15.1613i | − | 0.0299631i | ||||||
\(507\) | −240.505 | + | 444.948i | −0.474368 | + | 0.877609i | ||||
\(508\) | − | 245.443i | − | 0.483156i | ||||||
\(509\) | 380.104i | 0.746765i | 0.927677 | + | 0.373383i | \(0.121802\pi\) | ||||
−0.927677 | + | 0.373383i | \(0.878198\pi\) | |||||||
\(510\) | −40.6157 | − | 200.868i | −0.0796387 | − | 0.393858i | ||||
\(511\) | 844.973 | 1.65357 | ||||||||
\(512\) | −22.6274 | −0.0441942 | ||||||||
\(513\) | 94.0502 | − | 7.93589i | 0.183334 | − | 0.0154696i | ||||
\(514\) | 546.885 | 1.06398 | ||||||||
\(515\) | −463.979 | − | 556.422i | −0.900931 | − | 1.08043i | ||||
\(516\) | −234.341 | − | 126.667i | −0.454150 | − | 0.245479i | ||||
\(517\) | − | 28.3493i | − | 0.0548343i | ||||||
\(518\) | −36.8841 | −0.0712048 | ||||||||
\(519\) | 126.860 | − | 234.698i | 0.244431 | − | 0.452212i | ||||
\(520\) | 5.75806 | + | 6.90529i | 0.0110732 | + | 0.0132794i | ||||
\(521\) | − | 66.7813i | − | 0.128179i | −0.997944 | − | 0.0640895i | \(-0.979586\pi\) | ||
0.997944 | − | 0.0640895i | \(-0.0204143\pi\) | |||||||
\(522\) | −392.226 | + | 256.817i | −0.751392 | + | 0.491986i | ||||
\(523\) | 496.177i | 0.948713i | 0.880333 | + | 0.474357i | \(0.157319\pi\) | ||||
−0.880333 | + | 0.474357i | \(0.842681\pi\) | |||||||
\(524\) | 434.936i | 0.830030i | ||||||||
\(525\) | 597.071 | − | 744.058i | 1.13728 | − | 1.41725i | ||||
\(526\) | −274.993 | −0.522801 | ||||||||
\(527\) | −375.790 | −0.713073 | ||||||||
\(528\) | −23.5983 | − | 12.7554i | −0.0446937 | − | 0.0241580i | ||||
\(529\) | 23.0000 | 0.0434783 | ||||||||
\(530\) | −174.560 | + | 145.559i | −0.329359 | + | 0.274640i | ||||
\(531\) | 260.788 | − | 170.755i | 0.491126 | − | 0.321573i | ||||
\(532\) | − | 88.9311i | − | 0.167164i | ||||||
\(533\) | 13.2926 | 0.0249393 | ||||||||
\(534\) | 46.3409 | + | 25.0484i | 0.0867807 | + | 0.0469071i | ||||
\(535\) | −640.903 | + | 534.425i | −1.19795 | + | 0.998925i | ||||
\(536\) | − | 292.398i | − | 0.545518i | ||||||
\(537\) | −107.322 | − | 58.0102i | −0.199855 | − | 0.108026i | ||||
\(538\) | 308.363i | 0.573166i | ||||||||
\(539\) | − | 252.151i | − | 0.467813i | ||||||
\(540\) | −192.093 | + | 189.738i | −0.355727 | + | 0.351366i | ||||
\(541\) | −146.067 | −0.269994 | −0.134997 | − | 0.990846i | \(-0.543102\pi\) | ||||
−0.134997 | + | 0.990846i | \(0.543102\pi\) | |||||||
\(542\) | −101.444 | −0.187167 | ||||||||
\(543\) | −299.912 | + | 554.854i | −0.552324 | + | 1.02183i | ||||
\(544\) | 54.6487 | 0.100457 | ||||||||
\(545\) | −266.726 | + | 222.413i | −0.489406 | + | 0.408097i | ||||
\(546\) | 16.3145 | − | 30.1827i | 0.0298800 | − | 0.0552796i | ||||
\(547\) | − | 243.641i | − | 0.445414i | −0.974885 | − | 0.222707i | \(-0.928511\pi\) | ||
0.974885 | − | 0.222707i | \(-0.0714893\pi\) | |||||||
\(548\) | −179.610 | −0.327756 | ||||||||
\(549\) | −75.9482 | − | 115.993i | −0.138339 | − | 0.211280i | ||||
\(550\) | −77.7471 | − | 14.2035i | −0.141358 | − | 0.0258245i | ||||
\(551\) | 128.762i | 0.233689i | ||||||||
\(552\) | 19.3502 | − | 35.7990i | 0.0350547 | − | 0.0648533i | ||||
\(553\) | 792.110i | 1.43239i | ||||||||
\(554\) | − | 494.349i | − | 0.892327i | ||||||
\(555\) | 30.1458 | − | 6.09553i | 0.0543168 | − | 0.0109829i | ||||
\(556\) | −500.192 | −0.899626 | ||||||||
\(557\) | −994.901 | −1.78618 | −0.893089 | − | 0.449880i | \(-0.851467\pi\) | ||||
−0.893089 | + | 0.449880i | \(0.851467\pi\) | |||||||
\(558\) | 271.213 | + | 414.213i | 0.486044 | + | 0.742317i | ||||
\(559\) | −28.2261 | −0.0504939 | ||||||||
\(560\) | 162.924 | + | 195.385i | 0.290935 | + | 0.348901i | ||||
\(561\) | 56.9935 | + | 30.8063i | 0.101593 | + | 0.0549133i | ||||
\(562\) | 299.117i | 0.532236i | ||||||||
\(563\) | 290.294 | 0.515620 | 0.257810 | − | 0.966196i | \(-0.416999\pi\) | ||||
0.257810 | + | 0.966196i | \(0.416999\pi\) | |||||||
\(564\) | 36.1819 | − | 66.9386i | 0.0641523 | − | 0.118685i | ||||
\(565\) | −371.740 | + | 309.980i | −0.657946 | + | 0.548637i | ||||
\(566\) | − | 527.486i | − | 0.931954i | ||||||
\(567\) | 944.369 | + | 411.979i | 1.66555 | + | 0.726594i | ||||
\(568\) | 292.270i | 0.514559i | ||||||||
\(569\) | 20.8696i | 0.0366777i | 0.999832 | + | 0.0183388i | \(0.00583776\pi\) | ||||
−0.999832 | + | 0.0183388i | \(0.994162\pi\) | |||||||
\(570\) | 14.6969 | + | 72.6844i | 0.0257840 | + | 0.127516i | ||||
\(571\) | 296.178 | 0.518700 | 0.259350 | − | 0.965783i | \(-0.416492\pi\) | ||||
0.259350 | + | 0.965783i | \(0.416492\pi\) | |||||||
\(572\) | −2.84238 | −0.00496919 | ||||||||
\(573\) | −840.896 | − | 454.525i | −1.46753 | − | 0.793237i | ||||
\(574\) | 376.114 | 0.655251 | ||||||||
\(575\) | 21.5470 | − | 117.944i | 0.0374730 | − | 0.205120i | ||||
\(576\) | −39.4408 | − | 60.2364i | −0.0684736 | − | 0.104577i | ||||
\(577\) | − | 48.7618i | − | 0.0845093i | −0.999107 | − | 0.0422546i | \(-0.986546\pi\) | ||
0.999107 | − | 0.0422546i | \(-0.0134541\pi\) | |||||||
\(578\) | 276.723 | 0.478759 | ||||||||
\(579\) | 300.535 | + | 162.446i | 0.519058 | + | 0.280563i | ||||
\(580\) | −235.896 | − | 282.896i | −0.406717 | − | 0.487751i | ||||
\(581\) | 279.662i | 0.481346i | ||||||||
\(582\) | 410.809 | + | 222.052i | 0.705858 | + | 0.381533i | ||||
\(583\) | − | 71.8530i | − | 0.123247i | ||||||
\(584\) | − | 187.889i | − | 0.321727i | ||||||
\(585\) | −8.34596 | + | 27.3648i | −0.0142666 | + | 0.0467775i | ||||
\(586\) | −561.316 | −0.957876 | ||||||||
\(587\) | −151.973 | −0.258897 | −0.129448 | − | 0.991586i | \(-0.541321\pi\) | ||||
−0.129448 | + | 0.991586i | \(0.541321\pi\) | |||||||
\(588\) | 321.818 | − | 595.381i | 0.547309 | − | 1.01255i | ||||
\(589\) | 135.980 | 0.230866 | ||||||||
\(590\) | 156.845 | + | 188.095i | 0.265839 | + | 0.318805i | ||||
\(591\) | −166.160 | + | 307.405i | −0.281150 | + | 0.520144i | ||||
\(592\) | 8.20157i | 0.0138540i | ||||||||
\(593\) | −392.414 | −0.661744 | −0.330872 | − | 0.943676i | \(-0.607343\pi\) | ||||
−0.330872 | + | 0.943676i | \(0.607343\pi\) | |||||||
\(594\) | −7.17682 | − | 85.0543i | −0.0120822 | − | 0.143189i | ||||
\(595\) | −393.486 | − | 471.884i | −0.661322 | − | 0.793083i | ||||
\(596\) | − | 504.431i | − | 0.846361i | ||||||
\(597\) | −528.272 | + | 977.334i | −0.884878 | + | 1.63708i | ||||
\(598\) | − | 4.31194i | − | 0.00721060i | ||||||
\(599\) | − | 569.828i | − | 0.951298i | −0.879635 | − | 0.475649i | \(-0.842213\pi\) | ||
0.879635 | − | 0.475649i | \(-0.157787\pi\) | |||||||
\(600\) | −165.449 | − | 132.765i | −0.275749 | − | 0.221275i | ||||
\(601\) | −1040.37 | −1.73107 | −0.865536 | − | 0.500846i | \(-0.833022\pi\) | ||||
−0.865536 | + | 0.500846i | \(0.833022\pi\) | |||||||
\(602\) | −798.655 | −1.32667 | ||||||||
\(603\) | 778.392 | − | 509.665i | 1.29086 | − | 0.845215i | ||||
\(604\) | −418.374 | −0.692673 | ||||||||
\(605\) | −445.464 | + | 371.455i | −0.736304 | + | 0.613976i | ||||
\(606\) | 240.422 | + | 129.954i | 0.396737 | + | 0.214446i | ||||
\(607\) | − | 835.820i | − | 1.37697i | −0.725252 | − | 0.688484i | \(-0.758277\pi\) | ||
0.725252 | − | 0.688484i | \(-0.241723\pi\) | |||||||
\(608\) | −19.7748 | −0.0325243 | ||||||||
\(609\) | −668.370 | + | 1236.52i | −1.09749 | + | 2.03041i | ||||
\(610\) | 83.6604 | − | 69.7613i | 0.137148 | − | 0.114363i | ||||
\(611\) | − | 8.06265i | − | 0.0131958i | ||||||
\(612\) | 95.2556 | + | 145.480i | 0.155646 | + | 0.237713i | ||||
\(613\) | − | 254.053i | − | 0.414442i | −0.978294 | − | 0.207221i | \(-0.933558\pi\) | ||
0.978294 | − | 0.207221i | \(-0.0664419\pi\) | |||||||
\(614\) | 405.395i | 0.660253i | ||||||||
\(615\) | −307.403 | + | 62.1573i | −0.499842 | + | 0.101069i | ||||
\(616\) | −80.4248 | −0.130560 | ||||||||
\(617\) | −1014.01 | −1.64345 | −0.821727 | − | 0.569882i | \(-0.806989\pi\) | ||||
−0.821727 | + | 0.569882i | \(0.806989\pi\) | |||||||
\(618\) | 540.802 | + | 292.316i | 0.875084 | + | 0.473004i | ||||
\(619\) | 334.784 | 0.540846 | 0.270423 | − | 0.962742i | \(-0.412836\pi\) | ||||
0.270423 | + | 0.962742i | \(0.412836\pi\) | |||||||
\(620\) | −298.753 | + | 249.119i | −0.481860 | + | 0.401805i | ||||
\(621\) | 129.029 | − | 10.8874i | 0.207776 | − | 0.0175320i | ||||
\(622\) | − | 137.233i | − | 0.220632i | ||||||
\(623\) | 157.934 | 0.253505 | ||||||||
\(624\) | −6.71144 | − | 3.62769i | −0.0107555 | − | 0.00581361i | ||||
\(625\) | −584.629 | − | 220.985i | −0.935406 | − | 0.353576i | ||||
\(626\) | 354.339i | 0.566037i | ||||||||
\(627\) | −20.6232 | − | 11.1473i | −0.0328919 | − | 0.0177789i | ||||
\(628\) | 318.944i | 0.507872i | ||||||||
\(629\) | − | 19.8081i | − | 0.0314914i | ||||||
\(630\) | −236.148 | + | 774.285i | −0.374838 | + | 1.22902i | ||||
\(631\) | 936.585 | 1.48429 | 0.742144 | − | 0.670241i | \(-0.233809\pi\) | ||||
0.742144 | + | 0.670241i | \(0.233809\pi\) | |||||||
\(632\) | 176.134 | 0.278693 | ||||||||
\(633\) | 320.345 | − | 592.656i | 0.506074 | − | 0.936266i | ||||
\(634\) | 530.683 | 0.837040 | ||||||||
\(635\) | 392.970 | + | 471.265i | 0.618850 | + | 0.742149i | ||||
\(636\) | 91.7051 | − | 169.660i | 0.144190 | − | 0.266761i | ||||
\(637\) | − | 71.7127i | − | 0.112579i | ||||||
\(638\) | 116.446 | 0.182518 | ||||||||
\(639\) | −778.051 | + | 509.442i | −1.21761 | + | 0.797248i | ||||
\(640\) | 43.4459 | − | 36.2279i | 0.0678842 | − | 0.0566060i | ||||
\(641\) | − | 247.737i | − | 0.386486i | −0.981151 | − | 0.193243i | \(-0.938100\pi\) | ||
0.981151 | − | 0.193243i | \(-0.0619005\pi\) | |||||||
\(642\) | 336.698 | − | 622.911i | 0.524452 | − | 0.970266i | ||||
\(643\) | − | 721.358i | − | 1.12186i | −0.827862 | − | 0.560932i | \(-0.810443\pi\) | ||
0.827862 | − | 0.560932i | \(-0.189557\pi\) | |||||||
\(644\) | − | 122.006i | − | 0.189450i | ||||||
\(645\) | 652.750 | − | 131.987i | 1.01202 | − | 0.204631i | ||||
\(646\) | 47.7591 | 0.0739306 | ||||||||
\(647\) | −505.748 | −0.781682 | −0.390841 | − | 0.920458i | \(-0.627816\pi\) | ||||
−0.390841 | + | 0.920458i | \(0.627816\pi\) | |||||||
\(648\) | 91.6079 | − | 209.990i | 0.141370 | − | 0.324059i | ||||
\(649\) | −77.4241 | −0.119298 | ||||||||
\(650\) | −22.1116 | − | 4.03953i | −0.0340178 | − | 0.00621466i | ||||
\(651\) | 1305.84 | + | 705.836i | 2.00589 | + | 1.08423i | ||||
\(652\) | 110.259i | 0.169110i | ||||||||
\(653\) | −937.577 | −1.43580 | −0.717900 | − | 0.696146i | \(-0.754896\pi\) | ||||
−0.717900 | + | 0.696146i | \(0.754896\pi\) | |||||||
\(654\) | 140.125 | − | 259.238i | 0.214258 | − | 0.396389i | ||||
\(655\) | −696.358 | − | 835.100i | −1.06314 | − | 1.27496i | ||||
\(656\) | − | 83.6330i | − | 0.127489i | ||||||
\(657\) | 500.178 | − | 327.500i | 0.761306 | − | 0.498478i | ||||
\(658\) | − | 228.132i | − | 0.346705i | ||||||
\(659\) | − | 194.845i | − | 0.295668i | −0.989012 | − | 0.147834i | \(-0.952770\pi\) | ||
0.989012 | − | 0.147834i | \(-0.0472301\pi\) | |||||||
\(660\) | 65.7322 | − | 13.2911i | 0.0995942 | − | 0.0201381i | ||||
\(661\) | −1079.58 | −1.63325 | −0.816627 | − | 0.577166i | \(-0.804159\pi\) | ||||
−0.816627 | + | 0.577166i | \(0.804159\pi\) | |||||||
\(662\) | 549.824 | 0.830551 | ||||||||
\(663\) | 16.2092 | + | 8.76145i | 0.0244482 | + | 0.0132149i | ||||
\(664\) | 62.1858 | 0.0936533 | ||||||||
\(665\) | 142.384 | + | 170.752i | 0.214111 | + | 0.256771i | ||||
\(666\) | −21.8334 | + | 14.2958i | −0.0327829 | + | 0.0214651i | ||||
\(667\) | 176.651i | 0.264844i | ||||||||
\(668\) | 607.240 | 0.909042 | ||||||||
\(669\) | −520.310 | − | 281.240i | −0.777742 | − | 0.420388i | ||||
\(670\) | 468.146 | + | 561.419i | 0.698726 | + | 0.837939i | ||||
\(671\) | 34.4366i | 0.0513213i | ||||||||
\(672\) | −189.900 | − | 102.645i | −0.282589 | − | 0.152746i | ||||
\(673\) | − | 1017.14i | − | 1.51135i | −0.654949 | − | 0.755673i | \(-0.727310\pi\) | ||
0.654949 | − | 0.755673i | \(-0.272690\pi\) | |||||||
\(674\) | − | 17.5192i | − | 0.0259928i | ||||||
\(675\) | 65.0471 | − | 671.859i | 0.0963661 | − | 0.995346i | ||||
\(676\) | 337.192 | 0.498804 | ||||||||
\(677\) | 1006.78 | 1.48712 | 0.743560 | − | 0.668669i | \(-0.233136\pi\) | ||||
0.743560 | + | 0.668669i | \(0.233136\pi\) | |||||||
\(678\) | 195.293 | − | 361.304i | 0.288043 | − | 0.532897i | ||||
\(679\) | 1400.07 | 2.06196 | ||||||||
\(680\) | −104.929 | + | 87.4959i | −0.154307 | + | 0.128670i | ||||
\(681\) | 183.415 | − | 339.329i | 0.269332 | − | 0.498280i | ||||
\(682\) | − | 122.974i | − | 0.180314i | ||||||
\(683\) | 75.4398 | 0.110454 | 0.0552268 | − | 0.998474i | \(-0.482412\pi\) | ||||
0.0552268 | + | 0.998474i | \(0.482412\pi\) | |||||||
\(684\) | −34.4685 | − | 52.6424i | −0.0503925 | − | 0.0769625i | ||||
\(685\) | 344.861 | − | 287.567i | 0.503447 | − | 0.419805i | ||||
\(686\) | − | 1147.66i | − | 1.67297i | ||||||
\(687\) | −150.715 | + | 278.832i | −0.219382 | + | 0.405869i | ||||
\(688\) | 177.589i | 0.258124i | ||||||||
\(689\) | − | 20.4353i | − | 0.0296593i | ||||||
\(690\) | 20.1629 | + | 99.7169i | 0.0292216 | + | 0.144517i | ||||
\(691\) | −983.980 | −1.42399 | −0.711997 | − | 0.702182i | \(-0.752209\pi\) | ||||
−0.711997 | + | 0.702182i | \(0.752209\pi\) | |||||||
\(692\) | −177.860 | −0.257022 | ||||||||
\(693\) | −140.185 | − | 214.099i | −0.202287 | − | 0.308945i | ||||
\(694\) | −323.878 | −0.466683 | ||||||||
\(695\) | 960.396 | − | 800.838i | 1.38186 | − | 1.15228i | ||||
\(696\) | 274.954 | + | 148.619i | 0.395049 | + | 0.213533i | ||||
\(697\) | 201.987i | 0.289795i | ||||||||
\(698\) | −451.556 | −0.646929 | ||||||||
\(699\) | −283.284 | + | 524.091i | −0.405270 | + | 0.749772i | ||||
\(700\) | −625.645 | − | 114.298i | −0.893779 | − | 0.163283i | ||||
\(701\) | − | 667.926i | − | 0.952819i | −0.879224 | − | 0.476409i | \(-0.841938\pi\) | ||
0.879224 | − | 0.476409i | \(-0.158062\pi\) | |||||||
\(702\) | −2.04112 | − | 24.1898i | −0.00290757 | − | 0.0344584i | ||||
\(703\) | 7.16759i | 0.0101957i | ||||||||
\(704\) | 17.8833i | 0.0254024i | ||||||||
\(705\) | 37.7015 | + | 186.455i | 0.0534773 | + | 0.264475i | ||||
\(706\) | −806.644 | −1.14256 | ||||||||
\(707\) | 819.379 | 1.15895 | ||||||||
\(708\) | −182.814 | − | 98.8156i | −0.258212 | − | 0.139570i | ||||
\(709\) | −322.487 | −0.454848 | −0.227424 | − | 0.973796i | \(-0.573030\pi\) | ||||
−0.227424 | + | 0.973796i | \(0.573030\pi\) | |||||||
\(710\) | −467.941 | − | 561.174i | −0.659072 | − | 0.790385i | ||||
\(711\) | 307.011 | + | 468.886i | 0.431801 | + | 0.659474i | ||||
\(712\) | − | 35.1182i | − | 0.0493233i | ||||||
\(713\) | 186.554 | 0.261646 | ||||||||
\(714\) | 458.637 | + | 247.904i | 0.642349 | + | 0.347205i | ||||
\(715\) | 5.45752 | − | 4.55082i | 0.00763289 | − | 0.00636478i | ||||
\(716\) | 81.3313i | 0.113591i | ||||||||
\(717\) | −240.551 | − | 130.023i | −0.335496 | − | 0.181344i | ||||
\(718\) | − | 833.195i | − | 1.16044i | ||||||
\(719\) | 787.862i | 1.09577i | 0.836552 | + | 0.547887i | \(0.184568\pi\) | ||||
−0.836552 | + | 0.547887i | \(0.815432\pi\) | |||||||
\(720\) | 172.171 | + | 52.5101i | 0.239126 | + | 0.0729307i | ||||
\(721\) | 1843.10 | 2.55631 | ||||||||
\(722\) | 493.249 | 0.683171 | ||||||||
\(723\) | −496.221 | + | 918.038i | −0.686337 | + | 1.26976i | ||||
\(724\) | 420.482 | 0.580776 | ||||||||
\(725\) | 905.866 | + | 165.491i | 1.24947 | + | 0.228264i | ||||
\(726\) | 234.024 | − | 432.958i | 0.322347 | − | 0.596361i | ||||
\(727\) | 518.452i | 0.713139i | 0.934269 | + | 0.356569i | \(0.116054\pi\) | ||||
−0.934269 | + | 0.356569i | \(0.883946\pi\) | |||||||
\(728\) | −22.8731 | −0.0314191 | ||||||||
\(729\) | 718.693 | − | 122.155i | 0.985861 | − | 0.167566i | ||||
\(730\) | 300.821 | + | 360.756i | 0.412084 | + | 0.494187i | ||||
\(731\) | − | 428.906i | − | 0.586739i | ||||||
\(732\) | −43.9510 | + | 81.3119i | −0.0600424 | + | 0.111082i | ||||
\(733\) | − | 541.297i | − | 0.738468i | −0.929336 | − | 0.369234i | \(-0.879620\pi\) | ||
0.929336 | − | 0.369234i | \(-0.120380\pi\) | |||||||
\(734\) | 433.967i | 0.591236i | ||||||||
\(735\) | 335.333 | + | 1658.41i | 0.456236 | + | 2.25634i | ||||
\(736\) | −27.1293 | −0.0368605 | ||||||||
\(737\) | −231.093 | −0.313559 | ||||||||
\(738\) | 222.639 | − | 145.777i | 0.301679 | − | 0.197529i | ||||
\(739\) | −1010.45 | −1.36732 | −0.683661 | − | 0.729799i | \(-0.739613\pi\) | ||||
−0.683661 | + | 0.729799i | \(0.739613\pi\) | |||||||
\(740\) | −13.1312 | − | 15.7475i | −0.0177449 | − | 0.0212803i | ||||
\(741\) | −5.86533 | − | 3.17035i | −0.00791542 | − | 0.00427847i | ||||
\(742\) | − | 578.214i | − | 0.779264i | ||||||
\(743\) | 630.503 | 0.848591 | 0.424296 | − | 0.905524i | \(-0.360522\pi\) | ||||
0.424296 | + | 0.905524i | \(0.360522\pi\) | |||||||
\(744\) | 156.950 | − | 290.367i | 0.210954 | − | 0.390278i | ||||
\(745\) | 807.625 | + | 968.535i | 1.08406 | + | 1.30005i | ||||
\(746\) | − | 768.602i | − | 1.03030i | ||||||
\(747\) | 108.393 | + | 165.545i | 0.145105 | + | 0.221613i | ||||
\(748\) | − | 43.1910i | − | 0.0577420i | ||||||
\(749\) | − | 2122.93i | − | 2.83435i | ||||||
\(750\) | 530.236 | − | 9.97796i | 0.706982 | − | 0.0133039i | ||||
\(751\) | −1188.40 | −1.58243 | −0.791213 | − | 0.611540i | \(-0.790550\pi\) | ||||
−0.791213 | + | 0.611540i | \(0.790550\pi\) | |||||||
\(752\) | −50.7276 | −0.0674569 | ||||||||
\(753\) | 92.3007 | + | 49.8907i | 0.122577 | + | 0.0662560i | ||||
\(754\) | 33.1178 | 0.0439228 | ||||||||
\(755\) | 803.301 | − | 669.842i | 1.06397 | − | 0.887208i | ||||
\(756\) | −57.7532 | − | 684.448i | −0.0763932 | − | 0.905354i | ||||
\(757\) | 319.200i | 0.421665i | 0.977522 | + | 0.210832i | \(0.0676174\pi\) | ||||
−0.977522 | + | 0.210832i | \(0.932383\pi\) | |||||||
\(758\) | 104.064 | 0.137288 | ||||||||
\(759\) | −28.2933 | − | 15.2932i | −0.0372771 | − | 0.0201492i | ||||
\(760\) | 37.9686 | − | 31.6606i | 0.0499587 | − | 0.0416587i | ||||
\(761\) | − | 124.010i | − | 0.162956i | −0.996675 | − | 0.0814782i | \(-0.974036\pi\) | ||
0.996675 | − | 0.0814782i | \(-0.0259641\pi\) | |||||||
\(762\) | −458.035 | − | 247.579i | −0.601096 | − | 0.324907i | ||||
\(763\) | − | 883.506i | − | 1.15794i | ||||||
\(764\) | 637.251i | 0.834098i | ||||||||
\(765\) | −415.819 | − | 126.820i | −0.543554 | − | 0.165778i | ||||
\(766\) | −28.3310 | −0.0369857 | ||||||||
\(767\) | −22.0197 | −0.0287089 | ||||||||
\(768\) | −22.8243 | + | 42.2262i | −0.0297191 | + | 0.0549820i | ||||
\(769\) | 1004.95 | 1.30683 | 0.653413 | − | 0.757002i | \(-0.273337\pi\) | ||||
0.653413 | + | 0.757002i | \(0.273337\pi\) | |||||||
\(770\) | 154.420 | − | 128.765i | 0.200545 | − | 0.167227i | ||||
\(771\) | 551.643 | − | 1020.57i | 0.715491 | − | 1.32370i | ||||
\(772\) | − | 227.752i | − | 0.295016i | ||||||
\(773\) | −943.044 | −1.21998 | −0.609990 | − | 0.792409i | \(-0.708826\pi\) | ||||
−0.609990 | + | 0.792409i | \(0.708826\pi\) | |||||||
\(774\) | −472.760 | + | 309.548i | −0.610802 | + | 0.399932i | ||||
\(775\) | 174.768 | − | 956.645i | 0.225507 | − | 1.23438i | ||||
\(776\) | − | 311.321i | − | 0.401187i | ||||||
\(777\) | −37.2050 | + | 68.8313i | −0.0478828 | + | 0.0885860i | ||||
\(778\) | − | 296.577i | − | 0.381205i | ||||||
\(779\) | − | 73.0894i | − | 0.0938246i | ||||||
\(780\) | 18.6945 | − | 3.78005i | 0.0239673 | − | 0.00484622i | ||||
\(781\) | 230.992 | 0.295764 | ||||||||
\(782\) | 65.5215 | 0.0837871 | ||||||||
\(783\) | 83.6204 | + | 991.005i | 0.106795 | + | 1.26565i | ||||
\(784\) | −451.193 | −0.575502 | ||||||||
\(785\) | −510.648 | − | 612.389i | −0.650507 | − | 0.780113i | ||||
\(786\) | 811.656 | + | 438.720i | 1.03264 | + | 0.558167i | ||||
\(787\) | 672.308i | 0.854266i | 0.904189 | + | 0.427133i | \(0.140476\pi\) | ||||
−0.904189 | + | 0.427133i | \(0.859524\pi\) | |||||||
\(788\) | 232.959 | 0.295633 | ||||||||
\(789\) | −277.386 | + | 513.180i | −0.351566 | + | 0.650418i | ||||
\(790\) | −338.187 | + | 282.001i | −0.428084 | + | 0.356963i | ||||
\(791\) | − | 1231.35i | − | 1.55670i | ||||||
\(792\) | −47.6071 | + | 31.1716i | −0.0601100 | + | 0.0393580i | ||||
\(793\) | 9.79390i | 0.0123504i | ||||||||
\(794\) | 222.945i | 0.280788i | ||||||||
\(795\) | 95.5566 | + | 472.581i | 0.120197 | + | 0.594442i | ||||
\(796\) | 740.646 | 0.930460 | ||||||||
\(797\) | 170.910 | 0.214442 | 0.107221 | − | 0.994235i | \(-0.465805\pi\) | ||||
0.107221 | + | 0.994235i | \(0.465805\pi\) | |||||||
\(798\) | −165.959 | − | 89.7048i | −0.207969 | − | 0.112412i | ||||
\(799\) | 122.515 | 0.153336 | ||||||||
\(800\) | −25.4154 | + | 139.119i | −0.0317693 | + | 0.173899i | ||||
\(801\) | 93.4881 | − | 61.2129i | 0.116714 | − | 0.0764206i | ||||
\(802\) | − | 455.647i | − | 0.568138i | ||||||
\(803\) | −148.496 | −0.184926 | ||||||||
\(804\) | −545.659 | − | 294.942i | −0.678680 | − | 0.366843i | ||||
\(805\) | 195.339 | + | 234.258i | 0.242657 | + | 0.291004i | ||||
\(806\) | − | 34.9742i | − | 0.0433924i | ||||||
\(807\) | 575.452 | + | 311.046i | 0.713076 | + | 0.385435i | ||||
\(808\) | − | 182.198i | − | 0.225492i | ||||||
\(809\) | 152.854i | 0.188942i | 0.995528 | + | 0.0944711i | \(0.0301160\pi\) | ||||
−0.995528 | + | 0.0944711i | \(0.969884\pi\) | |||||||
\(810\) | 160.315 | + | 549.863i | 0.197920 | + | 0.678843i | ||||
\(811\) | −98.8175 | −0.121846 | −0.0609232 | − | 0.998142i | \(-0.519404\pi\) | ||||
−0.0609232 | + | 0.998142i | \(0.519404\pi\) | |||||||
\(812\) | 937.065 | 1.15402 | ||||||||
\(813\) | −102.327 | + | 189.310i | −0.125863 | + | 0.232854i | ||||
\(814\) | 6.48202 | 0.00796316 | ||||||||
\(815\) | −176.532 | − | 211.704i | −0.216604 | − | 0.259760i | ||||
\(816\) | 55.1242 | − | 101.983i | 0.0675541 | − | 0.124979i | ||||
\(817\) | 155.201i | 0.189964i | ||||||||
\(818\) | −616.403 | −0.753549 | ||||||||
\(819\) | −39.8691 | − | 60.8905i | −0.0486802 | − | 0.0743474i | ||||
\(820\) | 133.901 | + | 160.580i | 0.163295 | + | 0.195829i | ||||
\(821\) | 53.3391i | 0.0649685i | 0.999472 | + | 0.0324842i | \(0.0103419\pi\) | ||||
−0.999472 | + | 0.0324842i | \(0.989658\pi\) | |||||||
\(822\) | −181.173 | + | 335.180i | −0.220405 | + | 0.407762i | ||||
\(823\) | − | 1259.90i | − | 1.53087i | −0.643515 | − | 0.765434i | \(-0.722524\pi\) | ||
0.643515 | − | 0.765434i | \(-0.277476\pi\) | |||||||
\(824\) | − | 409.832i | − | 0.497369i | ||||||
\(825\) | −104.929 | + | 130.761i | −0.127187 | + | 0.158498i | ||||
\(826\) | −623.046 | −0.754293 | ||||||||
\(827\) | −756.863 | −0.915191 | −0.457595 | − | 0.889161i | \(-0.651289\pi\) | ||||
−0.457595 | + | 0.889161i | \(0.651289\pi\) | |||||||
\(828\) | −47.2878 | − | 72.2209i | −0.0571109 | − | 0.0872233i | ||||
\(829\) | −724.181 | −0.873560 | −0.436780 | − | 0.899568i | \(-0.643881\pi\) | ||||
−0.436780 | + | 0.899568i | \(0.643881\pi\) | |||||||
\(830\) | −119.400 | + | 99.5632i | −0.143856 | + | 0.119956i | ||||
\(831\) | −922.531 | − | 498.650i | −1.11015 | − | 0.600060i | ||||
\(832\) | 5.08609i | 0.00611308i | ||||||||
\(833\) | 1089.70 | 1.30817 | ||||||||
\(834\) | −504.544 | + | 933.435i | −0.604969 | + | 1.11923i | ||||
\(835\) | −1165.93 | + | 972.228i | −1.39633 | + | 1.16434i | ||||
\(836\) | 15.6288i | 0.0186947i | ||||||||
\(837\) | 1046.56 | − | 88.3077i | 1.25037 | − | 0.105505i | ||||
\(838\) | 113.174i | 0.135053i | ||||||||
\(839\) | − | 1028.47i | − | 1.22583i | −0.790149 | − | 0.612915i | \(-0.789997\pi\) | ||
0.790149 | − | 0.612915i | \(-0.210003\pi\) | |||||||
\(840\) | 528.959 | − | 106.956i | 0.629713 | − | 0.127329i | ||||
\(841\) | −515.768 | −0.613280 | ||||||||
\(842\) | −530.123 | −0.629599 | ||||||||
\(843\) | 558.197 | + | 301.719i | 0.662155 | + | 0.357911i | ||||
\(844\) | −449.129 | −0.532143 | ||||||||
\(845\) | −647.426 | + | 539.864i | −0.766185 | + | 0.638892i | ||||
\(846\) | −88.4209 | − | 135.042i | −0.104516 | − | 0.159624i | ||||
\(847\) | − | 1475.56i | − | 1.74210i | ||||||
\(848\) | −128.572 | −0.151618 | ||||||||
\(849\) | −984.369 | − | 532.075i | −1.15945 | − | 0.626708i | ||||
\(850\) | 61.3822 | − | 335.994i | 0.0722143 | − | 0.395287i | ||||
\(851\) | 9.83334i | 0.0115550i | ||||||||
\(852\) | 545.420 | + | 294.812i | 0.640164 | + | 0.346024i | ||||
\(853\) | − | 668.115i | − | 0.783254i | −0.920124 | − | 0.391627i | \(-0.871912\pi\) | ||
0.920124 | − | 0.391627i | \(-0.128088\pi\) | |||||||
\(854\) | 277.117i | 0.324493i | ||||||||
\(855\) | 150.465 | + | 45.8901i | 0.175982 | + | 0.0536726i | ||||
\(856\) | −472.056 | −0.551468 | ||||||||
\(857\) | −23.2624 | −0.0271439 | −0.0135720 | − | 0.999908i | \(-0.504320\pi\) | ||||
−0.0135720 | + | 0.999908i | \(0.504320\pi\) | |||||||
\(858\) | −2.86711 | + | 5.30431i | −0.00334162 | + | 0.00618218i | ||||
\(859\) | −601.480 | −0.700209 | −0.350105 | − | 0.936711i | \(-0.613854\pi\) | ||||
−0.350105 | + | 0.936711i | \(0.613854\pi\) | |||||||
\(860\) | −284.331 | − | 340.981i | −0.330618 | − | 0.396490i | ||||
\(861\) | 379.386 | − | 701.887i | 0.440635 | − | 0.815199i | ||||
\(862\) | − | 1093.21i | − | 1.26822i | ||||||
\(863\) | 619.688 | 0.718063 | 0.359031 | − | 0.933326i | \(-0.383107\pi\) | ||||
0.359031 | + | 0.933326i | \(0.383107\pi\) | |||||||
\(864\) | −152.194 | + | 12.8420i | −0.176151 | + | 0.0148635i | ||||
\(865\) | 341.500 | − | 284.764i | 0.394798 | − | 0.329207i | ||||
\(866\) | 587.459i | 0.678359i | ||||||||
\(867\) | 279.130 | − | 516.406i | 0.321949 | − | 0.595624i | ||||
\(868\) | − | 989.593i | − | 1.14008i | ||||||
\(869\) | − | 139.205i | − | 0.160190i | ||||||
\(870\) | −765.874 | + | 154.861i | −0.880315 | + | 0.178001i | ||||
\(871\) | −65.7238 | −0.0754579 | ||||||||
\(872\) | −196.457 | −0.225295 | ||||||||
\(873\) | 828.767 | − | 542.649i | 0.949332 | − | 0.621591i | ||||
\(874\) | −23.7091 | −0.0271271 | ||||||||
\(875\) | 1384.27 | − | 782.237i | 1.58202 | − | 0.893985i | ||||
\(876\) | −350.629 | − | 189.523i | −0.400261 | − | 0.216351i | ||||
\(877\) | 1244.05i | 1.41853i | 0.704943 | + | 0.709264i | \(0.250973\pi\) | ||||
−0.704943 | + | 0.709264i | \(0.749027\pi\) | |||||||
\(878\) | 370.849 | 0.422380 | ||||||||
\(879\) | −566.199 | + | 1047.50i | −0.644140 | + | 1.19170i | ||||
\(880\) | −28.6323 | − | 34.3369i | −0.0325367 | − | 0.0390192i | ||||
\(881\) | 104.891i | 0.119059i | 0.998227 | + | 0.0595293i | \(0.0189600\pi\) | ||||
−0.998227 | + | 0.0595293i | \(0.981040\pi\) | |||||||
\(882\) | −786.454 | − | 1201.12i | −0.891671 | − | 1.36182i | ||||
\(883\) | 1204.44i | 1.36403i | 0.731339 | + | 0.682014i | \(0.238896\pi\) | ||||
−0.731339 | + | 0.682014i | \(0.761104\pi\) | |||||||
\(884\) | − | 12.2837i | − | 0.0138956i | ||||||
\(885\) | 509.223 | − | 102.966i | 0.575393 | − | 0.116345i | ||||
\(886\) | 1091.24 | 1.23165 | ||||||||
\(887\) | 1206.02 | 1.35966 | 0.679831 | − | 0.733369i | \(-0.262053\pi\) | ||||
0.679831 | + | 0.733369i | \(0.262053\pi\) | |||||||
\(888\) | 15.3054 | + | 8.27292i | 0.0172358 | + | 0.00931635i | ||||
\(889\) | −1561.02 | −1.75593 | ||||||||
\(890\) | 56.2264 | + | 67.4289i | 0.0631757 | + | 0.0757628i | ||||
\(891\) | −165.964 | − | 72.4012i | −0.186267 | − | 0.0812584i | ||||
\(892\) | 394.303i | 0.442043i | ||||||||
\(893\) | −44.3324 | −0.0496443 | ||||||||
\(894\) | −941.346 | − | 508.820i | −1.05296 | − | 0.569150i | ||||
\(895\) | −130.216 | − | 156.160i | −0.145493 | − | 0.174481i | ||||
\(896\) | 143.910i | 0.160614i | ||||||||
\(897\) | −8.04673 | − | 4.34945i | −0.00897072 | − | 0.00484889i | ||||
\(898\) | 235.542i | 0.262297i | ||||||||
\(899\) | 1432.82i | 1.59380i | ||||||||
\(900\) | −414.648 | + | 174.833i | −0.460721 | + | 0.194259i | ||||
\(901\) | 310.522 | 0.344641 | ||||||||
\(902\) | −66.0984 | −0.0732798 | ||||||||
\(903\) | −805.603 | + | 1490.41i | −0.892141 | + | 1.65051i | ||||
\(904\) | −273.805 | −0.302881 | ||||||||
\(905\) | −807.347 | + | 673.216i | −0.892096 | + | 0.743885i | ||||
\(906\) | −422.014 | + | 780.750i | −0.465799 | + | 0.861755i | ||||
\(907\) | 265.356i | 0.292565i | 0.989243 | + | 0.146282i | \(0.0467308\pi\) | ||||
−0.989243 | + | 0.146282i | \(0.953269\pi\) | |||||||
\(908\) | −257.151 | −0.283206 | ||||||||
\(909\) | 485.028 | − | 317.580i | 0.533584 | − | 0.349373i | ||||
\(910\) | 43.9176 | − | 36.6213i | 0.0482612 | − | 0.0402431i | ||||
\(911\) | 1286.84i | 1.41256i | 0.707933 | + | 0.706279i | \(0.249628\pi\) | ||||
−0.707933 | + | 0.706279i | \(0.750372\pi\) | |||||||
\(912\) | −19.9468 | + | 36.9027i | −0.0218715 | + | 0.0404635i | ||||
\(913\) | − | 49.1478i | − | 0.0538311i | ||||||
\(914\) | 458.973i | 0.502158i | ||||||||
\(915\) | −45.7969 | − | 226.491i | −0.0500512 | − | 0.247532i | ||||
\(916\) | 211.305 | 0.230683 | ||||||||
\(917\) | 2766.19 | 3.01657 | ||||||||
\(918\) | 367.573 | − | 31.0155i | 0.400406 | − | 0.0337860i | ||||
\(919\) | 318.329 | 0.346386 | 0.173193 | − | 0.984888i | \(-0.444592\pi\) | ||||
0.173193 | + | 0.984888i | \(0.444592\pi\) | |||||||
\(920\) | 52.0898 | − | 43.4357i | 0.0566193 | − | 0.0472127i | ||||
\(921\) | 756.529 | + | 408.922i | 0.821421 | + | 0.443998i | ||||
\(922\) | 813.275i | 0.882077i | ||||||||
\(923\) | 65.6950 | 0.0711755 | ||||||||
\(924\) | −81.1245 | + | 150.085i | −0.0877971 | + | 0.162430i | ||||
\(925\) | 50.4252 | + | 9.21211i | 0.0545138 | + | 0.00995904i | ||||
\(926\) | − | 1086.66i | − | 1.17350i | ||||||
\(927\) | 1091.01 | − | 714.359i | 1.17693 | − | 0.770614i | ||||
\(928\) | − | 208.366i | − | 0.224533i | ||||||
\(929\) | − | 513.188i | − | 0.552409i | −0.961099 | − | 0.276205i | \(-0.910923\pi\) | ||
0.961099 | − | 0.276205i | \(-0.0890768\pi\) | |||||||
\(930\) | 163.542 | + | 808.806i | 0.175851 | + | 0.869684i | ||||
\(931\) | −394.311 | −0.423535 | ||||||||
\(932\) | 397.168 | 0.426146 | ||||||||
\(933\) | −256.097 | − | 138.427i | −0.274488 | − | 0.148367i | ||||
\(934\) | −876.546 | −0.938486 | ||||||||
\(935\) | 69.1514 | + | 82.9290i | 0.0739587 | + | 0.0886941i | ||||
\(936\) | −13.5397 | + | 8.86532i | −0.0144654 | + | 0.00947149i | ||||
\(937\) | 1772.15i | 1.89130i | 0.325181 | + | 0.945652i | \(0.394575\pi\) | ||||
−0.325181 | + | 0.945652i | \(0.605425\pi\) | |||||||
\(938\) | −1859.65 | −1.98257 | ||||||||
\(939\) | 661.251 | + | 357.422i | 0.704207 | + | 0.380641i | ||||
\(940\) | 97.3997 | − | 81.2180i | 0.103617 | − | 0.0864021i | ||||
\(941\) | 818.895i | 0.870239i | 0.900373 | + | 0.435120i | \(0.143294\pi\) | ||||
−0.900373 | + | 0.435120i | \(0.856706\pi\) | |||||||
\(942\) | 595.197 | + | 321.718i | 0.631844 | + | 0.341527i | ||||
\(943\) | − | 100.272i | − | 0.106333i | ||||||
\(944\) | 138.541i | 0.146760i | ||||||||
\(945\) | 1206.73 | + | 1221.71i | 1.27696 | + | 1.29281i | ||||
\(946\) | 140.356 | 0.148368 | ||||||||
\(947\) | −1576.72 | −1.66496 | −0.832482 | − | 0.554051i | \(-0.813081\pi\) | ||||
−0.832482 | + | 0.554051i | \(0.813081\pi\) | |||||||
\(948\) | 177.666 | − | 328.693i | 0.187412 | − | 0.346722i | ||||
\(949\) | −42.2328 | −0.0445024 | ||||||||
\(950\) | −22.2113 | + | 121.580i | −0.0233803 | + | 0.127979i | ||||
\(951\) | 535.300 | − | 990.336i | 0.562882 | − | 1.04136i | ||||
\(952\) | − | 347.566i | − | 0.365090i | ||||||
\(953\) | 275.660 | 0.289255 | 0.144627 | − | 0.989486i | \(-0.453802\pi\) | ||||
0.144627 | + | 0.989486i | \(0.453802\pi\) | |||||||
\(954\) | −224.108 | − | 342.272i | −0.234914 | − | 0.358775i | ||||
\(955\) | −1020.28 | − | 1223.56i | −1.06835 | − | 1.28121i | ||||
\(956\) | 182.295i | 0.190685i | ||||||||
\(957\) | 117.459 | − | 217.307i | 0.122737 | − | 0.227071i | ||||
\(958\) | 467.119i | 0.487598i | ||||||||
\(959\) | 1142.32i | 1.19116i | ||||||||
\(960\) | −23.7829 | − | 117.620i | −0.0247738 | − | 0.122520i | ||||
\(961\) | 552.140 | 0.574547 | ||||||||
\(962\) | 1.84351 | 0.00191633 | ||||||||
\(963\) | −822.819 | − | 1256.66i | −0.854433 | − | 1.30494i | ||||
\(964\) | 695.711 | 0.721691 | ||||||||
\(965\) | 364.645 | + | 437.296i | 0.377870 | + | 0.453157i | ||||
\(966\) | −227.682 | − | 123.067i | −0.235695 | − | 0.127399i | ||||
\(967\) | 1032.64i | 1.06788i | 0.845521 | + | 0.533942i | \(0.179290\pi\) | ||||
−0.845521 | + | 0.533942i | \(0.820710\pi\) | |||||||
\(968\) | −328.106 | −0.338952 | ||||||||
\(969\) | 48.1746 | − | 89.1258i | 0.0497158 | − | 0.0919771i | ||||
\(970\) | 498.443 | + | 597.753i | 0.513859 | + | 0.616240i | ||||
\(971\) | − | 506.126i | − | 0.521242i | −0.965441 | − | 0.260621i | \(-0.916073\pi\) | ||
0.965441 | − | 0.260621i | \(-0.0839273\pi\) | |||||||
\(972\) | −299.469 | − | 382.772i | −0.308096 | − | 0.393798i | ||||
\(973\) | 3181.22i | 3.26950i | ||||||||
\(974\) | − | 1084.47i | − | 1.11342i | ||||||
\(975\) | −29.8423 | + | 37.1889i | −0.0306075 | + | 0.0381425i | ||||
\(976\) | 61.6200 | 0.0631353 | ||||||||
\(977\) | −156.675 | −0.160363 | −0.0801815 | − | 0.996780i | \(-0.525550\pi\) | ||||
−0.0801815 | + | 0.996780i | \(0.525550\pi\) | |||||||
\(978\) | 205.761 | + | 111.219i | 0.210390 | + | 0.113721i | ||||
\(979\) | −27.7553 | −0.0283506 | ||||||||
\(980\) | 866.315 | − | 722.388i | 0.883995 | − | 0.737130i | ||||
\(981\) | −342.435 | − | 522.988i | −0.349067 | − | 0.533117i | ||||
\(982\) | 241.842i | 0.246275i | ||||||||
\(983\) | 1322.31 | 1.34517 | 0.672587 | − | 0.740018i | \(-0.265183\pi\) | ||||
0.672587 | + | 0.740018i | \(0.265183\pi\) | |||||||
\(984\) | −156.072 | − | 84.3606i | −0.158610 | − | 0.0857323i | ||||
\(985\) | −447.293 | + | 372.981i | −0.454105 | + | 0.378661i | ||||
\(986\) | 503.237i | 0.510383i | ||||||||
\(987\) | −425.729 | − | 230.117i | −0.431337 | − | 0.233148i | ||||
\(988\) | 4.44488i | 0.00449887i | ||||||||
\(989\) | 212.922i | 0.215290i | ||||||||
\(990\) | 41.5007 | − | 136.073i | 0.0419199 | − | 0.137447i | ||||
\(991\) | −1535.49 | −1.54943 | −0.774717 | − | 0.632308i | \(-0.782108\pi\) | ||||
−0.774717 | + | 0.632308i | \(0.782108\pi\) | |||||||
\(992\) | −220.047 | −0.221821 | ||||||||
\(993\) | 554.608 | − | 1026.06i | 0.558518 | − | 1.03329i | ||||
\(994\) | 1858.83 | 1.87006 | ||||||||
\(995\) | −1422.08 | + | 1185.82i | −1.42923 | + | 1.19178i | ||||
\(996\) | 62.7268 | − | 116.048i | 0.0629787 | − | 0.116514i | ||||
\(997\) | − | 1275.00i | − | 1.27883i | −0.768861 | − | 0.639417i | \(-0.779176\pi\) | ||
0.768861 | − | 0.639417i | \(-0.220824\pi\) | |||||||
\(998\) | −933.098 | −0.934968 | ||||||||
\(999\) | 4.65475 | + | 55.1646i | 0.00465941 | + | 0.0552198i |
(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 | 690.3.b.a.599.16 | yes | 88 | |
3.2 | odd | 2 | inner | 690.3.b.a.599.74 | yes | 88 | |
5.4 | even | 2 | inner | 690.3.b.a.599.73 | yes | 88 | |
15.14 | odd | 2 | inner | 690.3.b.a.599.15 | ✓ | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.3.b.a.599.15 | ✓ | 88 | 15.14 | odd | 2 | inner | |
690.3.b.a.599.16 | yes | 88 | 1.1 | even | 1 | trivial | |
690.3.b.a.599.73 | yes | 88 | 5.4 | even | 2 | inner | |
690.3.b.a.599.74 | yes | 88 | 3.2 | odd | 2 | inner |