Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [920,2,Mod(17,920)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(920, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 0, 11, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("920.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 920 = 2^{3} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 920.bv (of order \(44\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.34623698596\) |
Analytic rank: | \(0\) |
Dimension: | \(720\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 433.4 | ||
Character | \(\chi\) | \(=\) | 920.433 |
Dual form | 920.2.bv.a.17.4 |
$q$-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 \(\left(\mathbb{Z}/920\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(281\) | \(461\) | \(737\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{15}{22}\right)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −2.47093 | − | 1.34923i | −1.42659 | − | 0.778978i | −0.434051 | − | 0.900888i | \(-0.642916\pi\) |
−0.992541 | + | 0.121910i | \(0.961098\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.998659 | − | 2.00067i | −0.446614 | − | 0.894727i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.191158 | − | 0.255357i | 0.0722509 | − | 0.0965159i | −0.762960 | − | 0.646446i | \(-0.776255\pi\) |
0.835211 | + | 0.549930i | \(0.185346\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 2.66315 | + | 4.14394i | 0.887717 | + | 1.38131i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −4.15304 | − | 1.89663i | −1.25219 | − | 0.571855i | −0.324739 | − | 0.945804i | \(-0.605276\pi\) |
−0.927449 | + | 0.373949i | \(0.878004\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −4.13246 | + | 3.09352i | −1.14614 | + | 0.857989i | −0.991516 | − | 0.129984i | \(-0.958507\pi\) |
−0.154623 | + | 0.987974i | \(0.549416\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.231747 | + | 6.29094i | −0.0598369 | + | 1.62431i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.227137 | + | 3.17579i | −0.0550889 | + | 0.770243i | 0.892560 | + | 0.450929i | \(0.148907\pi\) |
−0.947649 | + | 0.319314i | \(0.896547\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.00031 | − | 3.46254i | 0.688319 | − | 0.794362i | −0.298806 | − | 0.954314i | \(-0.596588\pi\) |
0.987125 | + | 0.159952i | \(0.0511339\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.816873 | + | 0.373054i | −0.178256 | + | 0.0814070i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −3.40605 | − | 3.37622i | −0.710210 | − | 0.703990i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.00536 | + | 3.99597i | −0.601072 | + | 0.799195i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.386803 | − | 5.40822i | −0.0744404 | − | 1.04081i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 5.27704 | − | 4.57258i | 0.979921 | − | 0.849107i | −0.00863436 | − | 0.999963i | \(-0.502748\pi\) |
0.988556 | + | 0.150856i | \(0.0482030\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.08214 | + | 0.317745i | 0.194358 | + | 0.0570687i | 0.377463 | − | 0.926025i | \(-0.376797\pi\) |
−0.183105 | + | 0.983093i | \(0.558615\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 7.70288 | + | 10.2898i | 1.34090 | + | 1.79123i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.701787 | − | 0.127429i | −0.118624 | − | 0.0215395i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.74880 | + | 1.03304i | 0.780698 | + | 0.169830i | 0.585217 | − | 0.810877i | \(-0.301010\pi\) |
0.195481 | + | 0.980707i | \(0.437373\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 14.3849 | − | 2.06824i | 2.30343 | − | 0.331183i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.580499 | − | 0.373064i | −0.0906587 | − | 0.0582628i | 0.494526 | − | 0.869163i | \(-0.335342\pi\) |
−0.585185 | + | 0.810900i | \(0.698978\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.90880 | + | 3.49571i | −0.291090 | + | 0.533091i | −0.981771 | − | 0.190068i | \(-0.939129\pi\) |
0.690681 | + | 0.723160i | \(0.257311\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 5.63109 | − | 9.46647i | 0.839433 | − | 1.41118i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −3.43722 | + | 3.43722i | −0.501370 | + | 0.501370i | −0.911864 | − | 0.410493i | \(-0.865357\pi\) |
0.410493 | + | 0.911864i | \(0.365357\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.94346 | + | 6.61882i | 0.277637 | + | 0.945546i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4.84612 | − | 7.54070i | 0.678592 | − | 1.05591i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.05640 | + | 3.03658i | 0.557189 | + | 0.417107i | 0.840412 | − | 0.541947i | \(-0.182313\pi\) |
−0.283223 | + | 0.959054i | \(0.591404\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.352940 | + | 10.2029i | 0.0475905 | + | 1.37576i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −12.0853 | + | 4.50759i | −1.60074 | + | 0.597045i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 2.01165 | + | 0.289231i | 0.261894 | + | 0.0376547i | 0.272011 | − | 0.962294i | \(-0.412311\pi\) |
−0.0101170 | + | 0.999949i | \(0.503220\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.29502 | + | 4.41043i | −0.165810 | + | 0.564698i | 0.834104 | + | 0.551607i | \(0.185985\pi\) |
−0.999914 | + | 0.0130906i | \(0.995833\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.56727 | + | 0.112093i | 0.197457 | + | 0.0141224i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 10.3160 | + | 5.17832i | 1.27955 | + | 0.642292i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.262976 | + | 0.705066i | −0.0321276 | + | 0.0861375i | −0.952023 | − | 0.306026i | \(-0.901001\pi\) |
0.919896 | + | 0.392164i | \(0.128273\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 3.86081 | + | 12.9379i | 0.464787 | + | 1.55754i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 3.29427 | + | 7.21344i | 0.390958 | + | 0.856078i | 0.998108 | + | 0.0614909i | \(0.0195855\pi\) |
−0.607150 | + | 0.794587i | \(0.707687\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.11789 | − | 0.509081i | 0.833086 | − | 0.0595835i | 0.351722 | − | 0.936104i | \(-0.385596\pi\) |
0.481364 | + | 0.876521i | \(0.340142\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 12.8175 | − | 5.81885i | 1.48004 | − | 0.671903i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.27820 | + | 0.697952i | −0.145665 | + | 0.0795390i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.450734 | − | 3.13492i | 0.0507115 | − | 0.352706i | −0.948629 | − | 0.316391i | \(-0.897529\pi\) |
0.999340 | − | 0.0363153i | \(-0.0115621\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.202267 | + | 0.442902i | −0.0224741 | + | 0.0492114i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.313966 | + | 1.44328i | −0.0344622 | + | 0.158420i | −0.991162 | − | 0.132656i | \(-0.957650\pi\) |
0.956700 | + | 0.291076i | \(0.0940132\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.58055 | − | 2.71711i | 0.713761 | − | 0.294712i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −19.2087 | + | 4.17859i | −2.05938 | + | 0.447992i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 11.8297 | − | 3.47350i | 1.25394 | − | 0.368191i | 0.413706 | − | 0.910411i | \(-0.364234\pi\) |
0.840236 | + | 0.542220i | \(0.182416\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.64661i | 0.172611i | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −2.24518 | − | 2.24518i | −0.232814 | − | 0.232814i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −9.92369 | − | 2.54473i | −1.01815 | − | 0.261084i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.86140 | + | 17.7506i | 0.392066 | + | 1.80230i | 0.573850 | + | 0.818960i | \(0.305449\pi\) |
−0.181784 | + | 0.983338i | \(0.558187\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.20064 | − | 22.2610i | −0.321677 | − | 2.23731i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.78246 | + | 1.78818i | −0.276865 | + | 0.177930i | −0.671703 | − | 0.740820i | \(-0.734437\pi\) |
0.394838 | + | 0.918751i | \(0.370801\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.88377 | + | 10.4128i | 0.382679 | + | 1.02600i | 0.975371 | + | 0.220572i | \(0.0707925\pi\) |
−0.592692 | + | 0.805429i | \(0.701935\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 1.56213 | + | 1.26174i | 0.152449 | + | 0.123133i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −9.19283 | − | 16.8354i | −0.888704 | − | 1.62754i | −0.773136 | − | 0.634241i | \(-0.781313\pi\) |
−0.115569 | − | 0.993299i | \(-0.536869\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.4592 | − | 14.3786i | −1.19337 | − | 1.37722i | −0.908088 | − | 0.418780i | \(-0.862458\pi\) |
−0.285283 | − | 0.958443i | \(-0.592088\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −10.3401 | − | 8.95979i | −0.981443 | − | 0.850425i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −16.3985 | − | 6.11631i | −1.54264 | − | 0.575374i | −0.572922 | − | 0.819610i | \(-0.694190\pi\) |
−0.969716 | + | 0.244236i | \(0.921463\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.35322 | + | 10.1861i | −0.312689 | + | 0.949856i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −23.8248 | − | 8.88618i | −2.20260 | − | 0.821527i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.767542 | + | 0.665079i | 0.0703605 | + | 0.0609677i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.44706 | + | 7.44030i | 0.586096 | + | 0.676391i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.931023 | + | 1.70504i | 0.0839476 | + | 0.153738i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 10.9960 | + | 2.02212i | 0.983508 | + | 0.180864i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.27483 | − | 11.4613i | −0.379330 | − | 1.01702i | −0.976615 | − | 0.214994i | \(-0.931027\pi\) |
0.597285 | − | 0.802029i | \(-0.296246\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 9.43304 | − | 6.06225i | 0.830533 | − | 0.533751i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.56280 | + | 10.8695i | 0.136542 | + | 0.949673i | 0.936762 | + | 0.349967i | \(0.113807\pi\) |
−0.800220 | + | 0.599707i | \(0.795284\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.310652 | − | 1.42804i | −0.0269369 | − | 0.123827i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −10.4338 | + | 6.17483i | −0.897996 | + | 0.531445i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −16.3201 | − | 16.3201i | −1.39432 | − | 1.39432i | −0.815354 | − | 0.578963i | \(-0.803458\pi\) |
−0.578963 | − | 0.815354i | \(-0.696542\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 13.8056i | 1.17098i | 0.810681 | + | 0.585488i | \(0.199097\pi\) | ||||
−0.810681 | + | 0.585488i | \(0.800903\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 13.1307 | − | 3.85553i | 1.10581 | − | 0.324694i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 23.0295 | − | 5.00977i | 1.92583 | − | 0.418938i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −14.4182 | − | 5.99116i | −1.19737 | − | 0.497539i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 4.12816 | − | 18.9768i | 0.340485 | − | 1.56518i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −8.02048 | + | 17.5624i | −0.657064 | + | 1.43877i | 0.228170 | + | 0.973621i | \(0.426726\pi\) |
−0.885233 | + | 0.465147i | \(0.846001\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.62791 | + | 11.3223i | −0.132477 | + | 0.921399i | 0.809833 | + | 0.586660i | \(0.199557\pi\) |
−0.942311 | + | 0.334740i | \(0.891352\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −13.7652 | + | 7.51638i | −1.11285 | + | 0.607663i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.444986 | − | 2.48232i | −0.0357421 | − | 0.199385i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.04579 | + | 0.217839i | −0.243081 | + | 0.0173855i | −0.192348 | − | 0.981327i | \(-0.561610\pi\) |
−0.0507328 | + | 0.998712i | \(0.516156\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −5.92603 | − | 12.9762i | −0.469965 | − | 1.02908i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.51323 | + | 0.224368i | −0.119260 | + | 0.0176826i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.06826 | + | 16.2696i | −0.475302 | + | 1.27434i | 0.449293 | + | 0.893385i | \(0.351676\pi\) |
−0.924595 | + | 0.380951i | \(0.875597\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 12.8940 | − | 25.6870i | 1.00380 | − | 1.99973i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 16.4315 | + | 1.17521i | 1.27151 | + | 0.0909402i | 0.690726 | − | 0.723117i | \(-0.257291\pi\) |
0.580785 | + | 0.814057i | \(0.302746\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.84484 | − | 13.0943i | 0.295757 | − | 1.00726i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 22.3389 | + | 3.21184i | 1.70830 | + | 0.245616i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −18.2117 | + | 6.79263i | −1.38461 | + | 0.516434i | −0.927783 | − | 0.373120i | \(-0.878288\pi\) |
−0.456830 | + | 0.889554i | \(0.651015\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.445902 | + | 1.53130i | 0.0337070 | + | 0.115756i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −4.58040 | − | 3.42884i | −0.344284 | − | 0.257728i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −3.70390 | + | 5.76338i | −0.276843 | + | 0.430775i | −0.951634 | − | 0.307233i | \(-0.900597\pi\) |
0.674792 | + | 0.738008i | \(0.264233\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.70057 | − | 12.6030i | −0.275061 | − | 0.936772i | −0.974932 | − | 0.222503i | \(-0.928577\pi\) |
0.699871 | − | 0.714269i | \(-0.253241\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 9.15058 | − | 9.15058i | 0.676431 | − | 0.676431i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −2.67566 | − | 10.5324i | −0.196719 | − | 0.774360i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 6.96661 | − | 12.7584i | 0.509449 | − | 0.932987i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.45497 | − | 0.935051i | −0.105833 | − | 0.0680149i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 7.90289 | − | 1.13626i | 0.571833 | − | 0.0822172i | 0.149668 | − | 0.988736i | \(-0.452179\pi\) |
0.422165 | + | 0.906519i | \(0.361270\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.8218 | − | 3.22428i | −1.06689 | − | 0.232089i | −0.355352 | − | 0.934732i | \(-0.615639\pi\) |
−0.711542 | + | 0.702644i | \(0.752003\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −18.5035 | − | 26.7140i | −1.32506 | − | 1.91303i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 11.2972 | + | 15.0913i | 0.804893 | + | 1.07521i | 0.995613 | + | 0.0935664i | \(0.0298267\pi\) |
−0.190720 | + | 0.981644i | \(0.561082\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 8.94437 | + | 2.62631i | 0.634050 | + | 0.186174i | 0.582935 | − | 0.812519i | \(-0.301904\pi\) |
0.0511151 | + | 0.998693i | \(0.483722\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.60109 | − | 1.38735i | 0.112932 | − | 0.0978564i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.158893 | − | 2.22161i | −0.0111521 | − | 0.155927i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.166658 | + | 1.53395i | −0.0116399 | + | 0.107136i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 4.92004 | − | 23.1058i | 0.341966 | − | 1.60597i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −19.0276 | + | 8.68960i | −1.31616 | + | 0.601072i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −15.1346 | + | 17.4663i | −1.04191 | + | 1.20243i | −0.0630253 | + | 0.998012i | \(0.520075\pi\) |
−0.978884 | + | 0.204416i | \(0.934471\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 1.59268 | − | 22.2686i | 0.109129 | − | 1.52582i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 8.90001 | + | 0.327861i | 0.606976 | + | 0.0223599i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.287998 | − | 0.215593i | 0.0195506 | − | 0.0146354i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −18.2747 | − | 8.34576i | −1.23489 | − | 0.563954i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −8.88576 | − | 13.8265i | −0.597721 | − | 0.930072i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −15.0593 | + | 20.1169i | −1.00844 | + | 1.34712i | −0.0715786 | + | 0.997435i | \(0.522804\pi\) |
−0.936866 | + | 0.349689i | \(0.886287\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −24.5628 | − | 1.81216i | −1.63752 | − | 0.120811i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 2.01279 | + | 1.09907i | 0.133594 | + | 0.0729478i | 0.544656 | − | 0.838660i | \(-0.316660\pi\) |
−0.411062 | + | 0.911607i | \(0.634842\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −19.5250 | −1.29025 | −0.645125 | − | 0.764077i | \(-0.723195\pi\) | ||||
−0.645125 | + | 0.764077i | \(0.723195\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 4.10005 | 0.269763 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 7.68616 | + | 4.19696i | 0.503537 | + | 0.274952i | 0.710876 | − | 0.703317i | \(-0.248299\pi\) |
−0.207339 | + | 0.978269i | \(0.566480\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 10.3094 | + | 3.44413i | 0.672508 | + | 0.224671i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −5.34346 | + | 7.13803i | −0.347095 | + | 0.463665i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 5.19130 | + | 8.07783i | 0.335798 | + | 0.522511i | 0.967557 | − | 0.252653i | \(-0.0813032\pi\) |
−0.631759 | + | 0.775165i | \(0.717667\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.0367 | + | 4.58359i | 0.646519 | + | 0.295255i | 0.711558 | − | 0.702628i | \(-0.247990\pi\) |
−0.0650392 | + | 0.997883i | \(0.520717\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −11.9243 | + | 8.92643i | −0.764945 | + | 0.572631i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 11.3012 | − | 10.4982i | 0.722009 | − | 0.670704i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.68722 | + | 23.5904i | −0.107355 | + | 1.50102i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 2.72310 | − | 3.14262i | 0.172569 | − | 0.199156i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −16.1155 | + | 7.35971i | −1.01720 | + | 0.464540i | −0.853014 | − | 0.521889i | \(-0.825228\pi\) |
−0.164188 | + | 0.986429i | \(0.552500\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 7.74201 | + | 20.4816i | 0.486736 | + | 1.28767i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −19.9261 | − | 2.16489i | −1.24782 | − | 0.135571i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 0.638793 | + | 8.93150i | 0.0398468 | + | 0.557131i | 0.977687 | + | 0.210065i | \(0.0673676\pi\) |
−0.937841 | + | 0.347066i | \(0.887178\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.17156 | − | 1.01517i | 0.0727975 | − | 0.0630793i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 33.0021 | + | 9.69028i | 2.04278 | + | 0.599813i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −13.2070 | − | 17.6425i | −0.814378 | − | 1.08788i | −0.994551 | − | 0.104247i | \(-0.966757\pi\) |
0.180173 | − | 0.983635i | \(-0.442334\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.02424 | − | 11.1480i | 0.124348 | − | 0.684818i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −33.9168 | − | 7.37815i | −2.07568 | − | 0.451536i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 9.10920 | − | 1.30971i | 0.555398 | − | 0.0798541i | 0.141100 | − | 0.989995i | \(-0.454936\pi\) |
0.414298 | + | 0.910141i | \(0.364027\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −14.0938 | − | 9.05752i | −0.856136 | − | 0.550205i | 0.0373468 | − | 0.999302i | \(-0.488109\pi\) |
−0.893483 | + | 0.449097i | \(0.851746\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 2.22165 | − | 4.06865i | 0.134460 | − | 0.246246i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 20.0603 | − | 10.8954i | 1.20968 | − | 0.657016i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 17.1195 | − | 17.1195i | 1.02861 | − | 1.02861i | 0.0290345 | − | 0.999578i | \(-0.490757\pi\) |
0.999578 | − | 0.0290345i | \(-0.00924325\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.56519 | + | 5.33053i | 0.0937052 | + | 0.319131i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.80305 | + | 10.5858i | −0.405836 | + | 0.631493i | −0.982669 | − | 0.185369i | \(-0.940652\pi\) |
0.576833 | + | 0.816862i | \(0.304288\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.5763 | + | 8.66593i | 0.688141 | + | 0.515136i | 0.885174 | − | 0.465261i | \(-0.154039\pi\) |
−0.197032 | + | 0.980397i | \(0.563130\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 21.0873 | + | 19.6772i | 1.24911 | + | 1.16558i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.206232 | + | 0.0769204i | −0.0121735 | + | 0.00454047i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 6.79289 | + | 0.976670i | 0.399582 | + | 0.0574512i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 14.4084 | − | 49.0704i | 0.844633 | − | 2.87656i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 17.8800 | + | 1.27881i | 1.04456 | + | 0.0747086i | 0.583059 | − | 0.812430i | \(-0.301856\pi\) |
0.461504 | + | 0.887138i | \(0.347310\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.43029 | − | 4.31348i | −0.0832748 | − | 0.251141i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −8.65097 | + | 23.1942i | −0.501980 | + | 1.34586i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 24.5198 | + | 3.41541i | 1.41802 | + | 0.197518i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.527772 | + | 1.15566i | 0.0304203 | + | 0.0666111i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 9.28792 | − | 0.664285i | 0.533577 | − | 0.0381622i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 10.1171 | − | 1.81361i | 0.579303 | − | 0.103847i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.05467 | − | 4.39818i | 0.459704 | − | 0.251018i | −0.232670 | − | 0.972556i | \(-0.574746\pi\) |
0.692375 | + | 0.721538i | \(0.256565\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4.45272 | − | 30.9693i | 0.253306 | − | 1.76178i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.77141 | − | 21.3964i | 0.554086 | − | 1.21328i | −0.400761 | − | 0.916183i | \(-0.631254\pi\) |
0.954847 | − | 0.297097i | \(-0.0960184\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.41447 | + | 11.0992i | −0.136474 | + | 0.627361i | 0.857193 | + | 0.514996i | \(0.172206\pi\) |
−0.993667 | + | 0.112366i | \(0.964157\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −1.34090 | − | 3.24753i | −0.0755514 | − | 0.182978i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 24.3390 | − | 5.29462i | 1.36701 | − | 0.297375i | 0.531598 | − | 0.846997i | \(-0.321592\pi\) |
0.835414 | + | 0.549621i | \(0.185228\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −30.5882 | + | 8.98151i | −1.71261 | + | 0.502868i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 54.0024i | 3.01412i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 10.3148 | + | 10.3148i | 0.573933 | + | 0.573933i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.0579034 | − | 25.8104i | 0.00321191 | − | 1.43170i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 11.3856 | + | 52.3389i | 0.629626 | + | 2.89435i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.220667 | + | 1.53477i | 0.0121658 | + | 0.0846147i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −28.1933 | + | 18.1187i | −1.54964 | + | 0.995895i | −0.564250 | + | 0.825604i | \(0.690834\pi\) |
−0.985394 | + | 0.170291i | \(0.945529\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 8.36592 | + | 22.4299i | 0.458450 | + | 1.22915i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.67323 | − | 0.177992i | 0.0914182 | − | 0.00972476i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.33800 | + | 2.45036i | 0.0728855 | + | 0.133480i | 0.911581 | − | 0.411122i | \(-0.134863\pi\) |
−0.838695 | + | 0.544601i | \(0.816681\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 32.2671 | + | 37.2383i | 1.75251 | + | 2.02251i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −3.89152 | − | 3.37203i | −0.210738 | − | 0.182605i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 4.15375 | + | 1.54927i | 0.224282 | + | 0.0836527i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 22.0289 | − | 20.6448i | 1.18600 | − | 1.11148i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −30.2838 | − | 11.2953i | −1.62572 | − | 0.606361i | −0.639058 | − | 0.769159i | \(-0.720675\pi\) |
−0.986659 | + | 0.162798i | \(0.947948\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −24.6327 | − | 21.3444i | −1.31856 | − | 1.14254i | −0.979427 | − | 0.201799i | \(-0.935321\pi\) |
−0.339132 | − | 0.940739i | \(-0.610133\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 18.3289 | + | 21.1527i | 0.978324 | + | 1.12905i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −11.9250 | − | 21.8390i | −0.634702 | − | 1.16237i | −0.975032 | − | 0.222064i | \(-0.928721\pi\) |
0.340330 | − | 0.940306i | \(-0.389461\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 11.1419 | − | 13.7945i | 0.591349 | − | 0.732137i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.999199 | − | 2.67896i | −0.0528832 | − | 0.141785i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −3.41487 | + | 2.19460i | −0.180230 | + | 0.115827i | −0.627645 | − | 0.778500i | \(-0.715981\pi\) |
0.447415 | + | 0.894326i | \(0.352345\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −0.283360 | − | 1.97081i | −0.0149137 | − | 0.103727i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −5.89155 | − | 27.0830i | −0.309226 | − | 1.42149i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −8.12685 | − | 13.7321i | −0.425379 | − | 0.718773i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 9.76278 | + | 9.76278i | 0.509613 | + | 0.509613i | 0.914408 | − | 0.404795i | \(-0.132657\pi\) |
−0.404795 | + | 0.914408i | \(0.632657\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 3.39908i | − | 0.176949i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.55083 | − | 0.455363i | 0.0805148 | − | 0.0236413i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.16402 | − | 1.77597i | 0.422717 | − | 0.0919564i | 0.00382530 | − | 0.999993i | \(-0.498782\pi\) |
0.418892 | + | 0.908036i | \(0.362419\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −24.4419 | − | 19.8326i | −1.26218 | − | 1.02415i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −7.66179 | + | 35.2207i | −0.394602 | + | 1.81396i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.67661 | + | 10.2403i | −0.240221 | + | 0.526011i | −0.990891 | − | 0.134666i | \(-0.957004\pi\) |
0.750670 | + | 0.660678i | \(0.229731\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −4.90107 | + | 34.0877i | −0.251090 | + | 1.74637i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 8.16491 | − | 4.45838i | 0.417207 | − | 0.227812i | −0.256912 | − | 0.966435i | \(-0.582705\pi\) |
0.674119 | + | 0.738622i | \(0.264523\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.67286 | + | 1.86025i | 0.136222 | + | 0.0948070i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −19.5695 | + | 1.39964i | −0.994772 | + | 0.0711475i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −0.628717 | − | 1.37670i | −0.0318772 | − | 0.0698013i | 0.893024 | − | 0.450010i | \(-0.148580\pi\) |
−0.924901 | + | 0.380208i | \(0.875852\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 11.4958 | − | 10.0500i | 0.581368 | − | 0.508252i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 10.8039 | − | 28.9664i | 0.544985 | − | 1.46116i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −6.72207 | + | 2.22895i | −0.338224 | + | 0.112151i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.9626 | + | 0.784061i | 0.550197 | + | 0.0393509i | 0.343671 | − | 0.939090i | \(-0.388330\pi\) |
0.206526 | + | 0.978441i | \(0.433784\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.15916 | + | 3.94774i | −0.0580306 | + | 0.197634i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −6.84218 | − | 0.983757i | −0.341682 | − | 0.0491265i | −0.0306620 | − | 0.999530i | \(-0.509762\pi\) |
−0.311020 | + | 0.950403i | \(0.600671\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −5.45486 | + | 2.03456i | −0.271726 | + | 0.101348i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 1.08810 | − | 0.0376394i | 0.0540680 | − | 0.00187032i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −17.7627 | − | 13.2970i | −0.880462 | − | 0.659106i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −6.24459 | + | 9.71677i | −0.308775 | + | 0.480464i | −0.960611 | − | 0.277897i | \(-0.910363\pi\) |
0.651836 | + | 0.758360i | \(0.273999\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 18.3062 | + | 62.3452i | 0.902979 | + | 3.07526i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.458399 | − | 0.458399i | 0.0225563 | − | 0.0225563i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.20106 | − | 0.813200i | 0.157134 | − | 0.0399184i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 18.6269 | − | 34.1127i | 0.912165 | − | 1.67050i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −5.72563 | − | 3.67964i | −0.279715 | − | 0.179762i | 0.393260 | − | 0.919427i | \(-0.371347\pi\) |
−0.672975 | + | 0.739666i | \(0.734984\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 24.1849 | − | 3.47726i | 1.17870 | − | 0.169471i | 0.475011 | − | 0.879980i | \(-0.342444\pi\) |
0.703688 | + | 0.710509i | \(0.251535\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −23.3975 | − | 5.08981i | −1.13763 | − | 0.247475i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −12.0078 | − | 10.4520i | −0.582462 | − | 0.506998i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.878681 | + | 1.17378i | 0.0425224 | + | 0.0568032i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −63.6637 | − | 18.6934i | −3.07371 | − | 0.902524i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 13.4728 | − | 11.6743i | 0.648962 | − | 0.562329i | −0.266949 | − | 0.963711i | \(-0.586015\pi\) |
0.915911 | + | 0.401382i | \(0.131470\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 2.39587 | + | 33.4986i | 0.115138 | + | 1.60984i | 0.646647 | + | 0.762789i | \(0.276171\pi\) |
−0.531509 | + | 0.847053i | \(0.678375\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 27.5429 | + | 34.2572i | 1.32058 | + | 1.64251i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −21.9095 | + | 1.66388i | −1.04807 | + | 0.0795944i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −3.19723 | + | 1.46013i | −0.152596 | + | 0.0696881i | −0.490249 | − | 0.871582i | \(-0.663094\pi\) |
0.337653 | + | 0.941271i | \(0.390367\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −22.2523 | + | 25.6805i | −1.05963 | + | 1.22288i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −1.85444 | + | 25.9285i | −0.0881072 | + | 1.23190i | 0.740495 | + | 0.672062i | \(0.234591\pi\) |
−0.828602 | + | 0.559838i | \(0.810863\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −18.7631 | − | 20.1984i | −0.889458 | − | 0.957497i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 43.5138 | − | 32.5740i | 2.05813 | − | 1.54070i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −12.6424 | − | 5.77358i | −0.596631 | − | 0.272472i | 0.0941247 | − | 0.995560i | \(-0.469995\pi\) |
−0.690756 | + | 0.723088i | \(0.742722\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.70327 | + | 2.65034i | 0.0802039 | + | 0.124800i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 19.2989 | − | 25.7803i | 0.906741 | − | 1.21126i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 3.29431 | − | 1.64440i | 0.154440 | − | 0.0770905i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 13.5683 | + | 7.40886i | 0.634699 | + | 0.346572i | 0.764173 | − | 0.645011i | \(-0.223147\pi\) |
−0.129474 | + | 0.991583i | \(0.541329\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 17.2632 | 0.805779 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −19.1442 | −0.891635 | −0.445818 | − | 0.895124i | \(-0.647087\pi\) | ||||
−0.445818 | + | 0.895124i | \(0.647087\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.9635 | − | 6.53256i | −0.555991 | − | 0.303594i | 0.176578 | − | 0.984287i | \(-0.443497\pi\) |
−0.732569 | + | 0.680693i | \(0.761679\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −2.24970 | + | 6.73404i | −0.104327 | + | 0.312284i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −10.1700 | + | 13.5855i | −0.470612 | + | 0.628664i | −0.971554 | − | 0.236817i | \(-0.923896\pi\) |
0.500942 | + | 0.865481i | \(0.332987\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.129774 | + | 0.201932i | 0.00599239 | + | 0.00932434i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 7.81986 | + | 3.57121i | 0.360320 | + | 0.164553i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 14.5574 | − | 10.8975i | 0.669350 | − | 0.501069i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.81922 | + | 22.3954i | 0.221121 | + | 1.02757i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.78062 | + | 24.8964i | −0.0815291 | + | 1.13993i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −28.5207 | + | 32.9146i | −1.30314 | + | 1.50391i | −0.575925 | + | 0.817502i | \(0.695358\pi\) |
−0.727219 | + | 0.686406i | \(0.759187\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −22.8200 | + | 10.4215i | −1.04050 | + | 0.475181i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 4.04182 | + | 1.48730i | 0.183909 | + | 0.0676747i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 31.6568 | − | 25.4522i | 1.43746 | − | 1.15572i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.52098 | − | 21.2661i | −0.0689221 | − | 0.963657i | −0.907818 | − | 0.419365i | \(-0.862253\pi\) |
0.838896 | − | 0.544292i | \(-0.183202\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 36.9457 | − | 32.0136i | 1.67074 | − | 1.44771i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 36.4623 | + | 10.7063i | 1.64552 | + | 0.483168i | 0.967709 | − | 0.252069i | \(-0.0811112\pi\) |
0.677810 | + | 0.735237i | \(0.262929\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.3230 | + | 17.7974i | 0.600036 | + | 0.801554i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −41.3405 | + | 28.6346i | −1.85812 | + | 1.28703i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 2.47173 | + | 0.537692i | 0.110872 | + | 0.0241188i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 23.3456 | − | 3.35659i | 1.04509 | − | 0.150261i | 0.401678 | − | 0.915781i | \(-0.368427\pi\) |
0.643413 | + | 0.765519i | \(0.277518\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −39.0156 | − | 25.0738i | −1.74309 | − | 1.12021i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 19.1159 | − | 35.0082i | 0.852338 | − | 1.56094i | 0.0246878 | − | 0.999695i | \(-0.492141\pi\) |
0.827650 | − | 0.561245i | \(-0.189677\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.35628 | + | 3.78100i | 0.282851 | + | 0.168252i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −27.1676 | + | 27.1676i | −1.20656 | + | 1.20656i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 6.39700 | + | 21.7862i | 0.283542 | + | 0.965655i | 0.970930 | + | 0.239365i | \(0.0769391\pi\) |
−0.687388 | + | 0.726291i | \(0.741243\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.23064 | − | 1.91492i | 0.0544404 | − | 0.0847110i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −19.8867 | − | 14.8870i | −0.878020 | − | 0.657278i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 16.9540 | − | 18.1689i | 0.747081 | − | 0.800620i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 20.7941 | − | 7.75578i | 0.914521 | − | 0.341099i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 54.1647 | + | 7.78771i | 2.37757 | + | 0.341843i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 8.50895 | − | 28.9788i | 0.372784 | − | 1.26958i | −0.533098 | − | 0.846054i | \(-0.678972\pi\) |
0.905881 | − | 0.423531i | \(-0.139210\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −20.4894 | − | 1.46543i | −0.895938 | − | 0.0640787i | −0.384229 | − | 0.923238i | \(-0.625533\pi\) |
−0.511709 | + | 0.859159i | \(0.670987\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.964286 | − | 4.38536i | 0.0420849 | − | 0.191393i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1.25489 | + | 3.36448i | −0.0546637 | + | 0.146559i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 0.202313 | + | 22.9991i | 0.00879623 | + | 0.999961i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 4.15876 | + | 9.10641i | 0.180475 | + | 0.395185i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 3.55297 | − | 0.254114i | 0.153896 | − | 0.0110069i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −24.5016 | + | 35.2046i | −1.05930 | + | 1.52203i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 16.9282 | − | 9.24350i | 0.730506 | − | 0.398887i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 4.48218 | − | 31.1743i | 0.193061 | − | 1.34277i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.2889 | − | 24.7192i | 0.485346 | − | 1.06276i | −0.495612 | − | 0.868544i | \(-0.665056\pi\) |
0.980959 | − | 0.194217i | \(-0.0622164\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −7.86047 | + | 36.1340i | −0.337325 | + | 1.55066i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −16.3245 | + | 39.2860i | −0.699263 | + | 1.68283i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.13442 | + | 0.464314i | −0.0912612 | + | 0.0198527i | −0.257964 | − | 0.966155i | \(-0.583052\pi\) |
0.166703 | + | 0.986007i | \(0.446688\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −21.7254 | + | 6.37915i | −0.927218 | + | 0.272256i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 31.9911i | − | 1.36287i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.714363 | − | 0.714363i | −0.0303778 | − | 0.0303778i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −7.59930 | + | 29.6350i | −0.322572 | + | 1.25794i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.07071 | + | 9.51889i | 0.0877387 | + | 0.403328i | 0.999980 | − | 0.00632509i | \(-0.00201335\pi\) |
−0.912241 | + | 0.409653i | \(0.865650\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −2.92601 | − | 20.3508i | −0.123757 | − | 0.860749i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −34.4280 | + | 22.1255i | −1.45355 | + | 0.934141i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 1.50834 | + | 4.04402i | 0.0635690 | + | 0.170435i | 0.964851 | − | 0.262798i | \(-0.0846454\pi\) |
−0.901282 | + | 0.433233i | \(0.857373\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.13975 | + | 38.9160i | 0.174161 | + | 1.63721i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0.0744334 | + | 0.136315i | 0.00312591 | + | 0.00572467i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −11.2072 | − | 12.9338i | −0.469830 | − | 0.542213i | 0.470534 | − | 0.882382i | \(-0.344061\pi\) |
−0.940364 | + | 0.340169i | \(0.889516\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.63720 | − | 5.75116i | −0.277758 | − | 0.240679i | 0.504830 | − | 0.863219i | \(-0.331555\pi\) |
−0.782588 | + | 0.622540i | \(0.786101\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −21.0606 | − | 7.85518i | −0.879818 | − | 0.328155i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 23.7277 | − | 3.46373i | 0.989512 | − | 0.144447i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −23.3973 | − | 8.72672i | −0.974040 | − | 0.363298i | −0.188476 | − | 0.982078i | \(-0.560355\pi\) |
−0.785565 | + | 0.618780i | \(0.787627\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 32.2733 | + | 27.9649i | 1.34123 | + | 1.16218i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.308534 | + | 0.356067i | 0.0128001 | + | 0.0147722i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −11.0871 | − | 20.3045i | −0.459181 | − | 0.840927i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 6.01451 | + | 56.5398i | 0.248669 | + | 2.33763i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 8.30941 | + | 22.2784i | 0.342966 | + | 0.919528i | 0.987873 | + | 0.155266i | \(0.0496236\pi\) |
−0.644906 | + | 0.764261i | \(0.723104\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.34696 | − | 2.79362i | 0.179113 | − | 0.115109i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −7.55297 | − | 52.5321i | −0.310688 | − | 2.16088i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −2.73951 | − | 12.5933i | −0.112498 | − | 0.517146i | −0.998563 | − | 0.0535849i | \(-0.982935\pi\) |
0.886065 | − | 0.463561i | \(-0.153428\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.564091 | − | 2.19979i | 0.0231255 | − | 0.0901825i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −18.5574 | − | 18.5574i | −0.759505 | − | 0.759505i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 12.8581i | − | 0.525368i | −0.964882 | − | 0.262684i | \(-0.915392\pi\) | ||
0.964882 | − | 0.262684i | \(-0.0846076\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −16.2507 | + | 4.77162i | −0.662878 | + | 0.194639i | −0.595829 | − | 0.803111i | \(-0.703176\pi\) |
−0.0670488 | + | 0.997750i | \(0.521358\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −3.62210 | + | 0.787940i | −0.147503 | + | 0.0320874i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 8.44717 | − | 20.3288i | 0.343426 | − | 0.826481i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −4.94579 | + | 22.7354i | −0.200743 | + | 0.922802i | 0.760979 | + | 0.648776i | \(0.224719\pi\) |
−0.961722 | + | 0.274026i | \(0.911645\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −2.60485 | + | 5.70384i | −0.105554 | + | 0.231131i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 3.57107 | − | 24.8373i | 0.144470 | − | 1.00481i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 12.5755 | − | 6.86674i | 0.507919 | − | 0.277345i | −0.204788 | − | 0.978806i | \(-0.565651\pi\) |
0.712707 | + | 0.701461i | \(0.247469\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 2.48145 | − | 3.56543i | 0.100062 | − | 0.143772i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 15.1480 | − | 1.08341i | 0.609835 | − | 0.0436163i | 0.236993 | − | 0.971511i | \(-0.423838\pi\) |
0.372842 | + | 0.927895i | \(0.378383\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 18.5706 | + | 40.6639i | 0.746414 | + | 1.63442i | 0.772706 | + | 0.634764i | \(0.218903\pi\) |
−0.0262919 | + | 0.999654i | \(0.508370\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −16.9418 | + | 19.7266i | −0.679853 | + | 0.791600i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 1.37435 | − | 3.68478i | 0.0550622 | − | 0.147627i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.93562 | − | 24.0187i | −0.277425 | − | 0.960747i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 58.7401 | + | 4.20117i | 2.34585 | + | 0.167779i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −4.35935 | + | 14.8466i | −0.173818 | + | 0.591971i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 3.03854 | + | 0.436875i | 0.120962 | + | 0.0173917i | 0.202530 | − | 0.979276i | \(-0.435084\pi\) |
−0.0815678 | + | 0.996668i | \(0.525993\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 60.9626 | − | 22.7379i | 2.42304 | − | 0.903749i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −18.6611 | + | 19.9984i | −0.740544 | + | 0.793613i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −28.5068 | − | 21.3399i | −1.12948 | − | 0.845518i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −21.1190 | + | 32.8618i | −0.835454 | + | 1.29999i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 3.40954 | + | 11.6118i | 0.134669 | + | 0.458639i | 0.999021 | − | 0.0442482i | \(-0.0140893\pi\) |
−0.864352 | + | 0.502887i | \(0.832271\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.93740 | + | 7.93740i | −0.313020 | + | 0.313020i | −0.846079 | − | 0.533058i | \(-0.821043\pi\) |
0.533058 | + | 0.846079i | \(0.321043\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −21.5489 | − | 12.8183i | −0.848489 | − | 0.504719i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 17.5701 | − | 32.1772i | 0.690750 | − | 1.26502i | −0.263110 | − | 0.964766i | \(-0.584748\pi\) |
0.953861 | − | 0.300249i | \(-0.0970699\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −7.80588 | − | 5.01653i | −0.306407 | − | 0.196916i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.00251 | + | 0.144139i | −0.0392914 | + | 0.00564924i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 9.77101 | + | 2.12555i | 0.382369 | + | 0.0831794i | 0.399642 | − | 0.916671i | \(-0.369135\pi\) |
−0.0172723 | + | 0.999851i | \(0.505498\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 20.1856 | − | 13.9816i | 0.788717 | − | 0.546306i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 21.0656 | + | 28.1404i | 0.821848 | + | 1.09786i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 12.0317 | + | 3.53283i | 0.468689 | + | 0.137619i | 0.507545 | − | 0.861625i | \(-0.330553\pi\) |
−0.0388560 | + | 0.999245i | \(0.512371\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.38771 | + | 6.40149i | −0.287349 | + | 0.248989i | −0.786592 | − | 0.617473i | \(-0.788157\pi\) |
0.499244 | + | 0.866462i | \(0.333611\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 3.30095 | + | 46.1533i | 0.128198 | + | 1.79244i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −2.54681 | + | 2.04764i | −0.0987610 | + | 0.0794041i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −33.4119 | − | 2.24201i | −1.29371 | − | 0.0868108i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 64.3527 | − | 29.3889i | 2.48802 | − | 1.13624i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 13.7432 | − | 15.8605i | 0.530551 | − | 0.612288i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 0.342916 | − | 4.79459i | 0.0132184 | − | 0.184818i | −0.986553 | − | 0.163441i | \(-0.947741\pi\) |
0.999771 | − | 0.0213765i | \(-0.00680486\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 22.7736 | + | 14.7080i | 0.876556 | + | 0.566111i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 0.905472 | − | 0.677828i | 0.0348001 | − | 0.0260510i | −0.581736 | − | 0.813378i | \(-0.697626\pi\) |
0.616536 | + | 0.787327i | \(0.288535\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 5.27088 | + | 2.40713i | 0.202278 | + | 0.0923771i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −3.49058 | − | 5.43144i | −0.133759 | − | 0.208133i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −24.2872 | + | 32.4439i | −0.929323 | + | 1.24143i | 0.0408865 | + | 0.999164i | \(0.486982\pi\) |
−0.970210 | + | 0.242267i | \(0.922109\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −16.3529 | + | 48.9492i | −0.624811 | + | 1.87025i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 48.2450 | + | 26.3437i | 1.84066 | + | 1.00508i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −26.1567 | −0.996489 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −30.7526 | −1.16988 | −0.584942 | − | 0.811075i | \(-0.698883\pi\) | ||||
−0.584942 | + | 0.811075i | \(0.698883\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −6.29633 | − | 3.43805i | −0.239178 | − | 0.130601i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 27.6204 | − | 13.7871i | 1.04770 | − | 0.522974i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1.31663 | − | 1.75881i | 0.0498708 | − | 0.0666196i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −13.3293 | − | 20.7408i | −0.504160 | − | 0.784489i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 5.55420 | + | 2.53652i | 0.209779 | + | 0.0958030i | 0.517534 | − | 0.855663i | \(-0.326850\pi\) |
−0.307754 | + | 0.951466i | \(0.599577\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 17.8248 | − | 13.3435i | 0.672276 | − | 0.503259i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −20.8268 | − | 22.4199i | −0.784382 | − | 0.844383i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −0.0752652 | + | 1.05235i | −0.00283064 | + | 0.0395775i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 18.5484 | − | 21.4060i | 0.696600 | − | 0.803919i | −0.291689 | − | 0.956513i | \(-0.594217\pi\) |
0.988289 | + | 0.152594i | \(0.0487627\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 14.1913 | − | 6.48096i | 0.532216 | − | 0.243055i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −2.61304 | − | 4.73579i | −0.0978593 | − | 0.177357i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −33.0216 | − | 41.0715i | −1.23494 | − | 1.53599i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.92850 | − | 26.9640i | −0.0720213 | − | 1.00699i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −12.3866 | + | 10.7331i | −0.461943 | + | 0.400275i | −0.854500 | − | 0.519452i | \(-0.826136\pi\) |
0.392557 | + | 0.919728i | \(0.371591\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.40139 | + | 0.998738i | 0.126674 | + | 0.0371950i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −18.6156 | − | 24.8675i | −0.692321 | − | 0.924833i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 2.41251 | + | 34.8292i | 0.0895983 | + | 1.29352i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 19.7853 | + | 4.30402i | 0.733795 | + | 0.159627i | 0.563910 | − | 0.825836i | \(-0.309297\pi\) |
0.169885 | + | 0.985464i | \(0.445660\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 42.9538 | − | 6.17583i | 1.59088 | − | 0.228734i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −10.6681 | − | 6.85597i | −0.394574 | − | 0.253577i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −14.9339 | + | 27.3494i | −0.551596 | + | 1.01017i | 0.441982 | + | 0.897024i | \(0.354276\pi\) |
−0.993578 | + | 0.113149i | \(0.963906\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −42.0890 | + | 10.6923i | −1.55248 | + | 0.394391i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 2.42940 | − | 2.42940i | 0.0894881 | − | 0.0894881i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 8.97815 | + | 30.5768i | 0.330267 | + | 1.12478i | 0.942527 | + | 0.334129i | \(0.108442\pi\) |
−0.612261 | + | 0.790656i | \(0.709740\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 35.9978 | − | 56.0137i | 1.32241 | − | 2.05771i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 20.3742 | + | 15.2520i | 0.747458 | + | 0.559540i | 0.903694 | − | 0.428180i | \(-0.140845\pi\) |
−0.156236 | + | 0.987720i | \(0.549936\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 43.1463 | − | 1.49252i | 1.58076 | − | 0.0546816i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −6.81700 | + | 2.54261i | −0.249421 | + | 0.0930292i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −6.05632 | − | 0.870768i | −0.221293 | − | 0.0318172i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.53649 | − | 12.0442i | 0.129048 | − | 0.439499i | −0.869466 | − | 0.493993i | \(-0.835537\pi\) |
0.998514 | + | 0.0544949i | \(0.0173549\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 49.7502 | + | 3.55821i | 1.81300 | + | 0.129668i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 24.2780 | − | 8.05026i | 0.883567 | − | 0.292979i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −4.38153 | + | 11.7473i | −0.159249 | + | 0.426964i | −0.991930 | − | 0.126790i | \(-0.959533\pi\) |
0.832680 | + | 0.553754i | \(0.186805\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 8.50437 | − | 61.0543i | 0.308689 | − | 2.21613i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 0.945262 | + | 2.06983i | 0.0342657 | + | 0.0750315i | 0.925991 | − | 0.377546i | \(-0.123232\pi\) |
−0.891725 | + | 0.452577i | \(0.850505\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −6.05335 | + | 0.432944i | −0.219146 | + | 0.0156736i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 28.7845 | + | 20.0334i | 1.04071 | + | 0.724308i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −9.20779 | + | 5.02784i | −0.332474 | + | 0.181545i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.79339 | + | 26.3836i | −0.136793 | + | 0.951417i | 0.799617 | + | 0.600510i | \(0.205036\pi\) |
−0.936410 | + | 0.350907i | \(0.885873\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 10.4722 | − | 22.9310i | 0.377148 | − | 0.825839i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 7.89966 | − | 36.3141i | 0.284131 | − | 1.30613i | −0.584793 | − | 0.811183i | \(-0.698824\pi\) |
0.868924 | − | 0.494946i | \(-0.164812\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −4.52192 | + | 3.36927i | −0.162432 | + | 0.121028i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −4.26455 | + | 0.927695i | −0.152990 | + | 0.0332809i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −3.03343 | + | 0.890695i | −0.108684 | + | 0.0319125i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 36.2057i | − | 1.29554i | ||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −26.7707 | − | 26.7707i | −0.956706 | − | 0.956706i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 3.47753 | + | 5.87608i | 0.124118 | + | 0.209726i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −7.84305 | − | 36.0539i | −0.279575 | − | 1.28518i | −0.875920 | − | 0.482456i | \(-0.839745\pi\) |
0.596346 | − | 0.802728i | \(-0.296619\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 8.82980 | + | 61.4126i | 0.314349 | + | 2.18635i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −4.69654 | + | 3.01828i | −0.166990 | + | 0.107318i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.29215 | − | 22.2321i | −0.294463 | − | 0.789485i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −20.0430 | + | 24.8148i | −0.710852 | + | 0.880091i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −0.916435 | − | 1.67833i | −0.0324618 | − | 0.0594493i | 0.860945 | − | 0.508699i | \(-0.169873\pi\) |
−0.893406 | + | 0.449249i | \(0.851691\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −10.1352 | − | 11.6966i | −0.358557 | − | 0.413797i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 45.8982 | + | 39.7710i | 1.62173 | + | 1.40524i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −30.5264 | − | 11.3858i | −1.07725 | − | 0.401795i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.96009 | + | 2.80341i | 0.0690841 | + | 0.0988074i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −24.2753 | − | 9.05422i | −0.854531 | − | 0.318723i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −34.7977 | − | 30.1524i | −1.22342 | − | 1.06010i | −0.996274 | − | 0.0862421i | \(-0.972514\pi\) |
−0.227149 | − | 0.973860i | \(-0.572940\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 0.598397 | + | 0.690587i | 0.0210126 | + | 0.0242498i | 0.766159 | − | 0.642652i | \(-0.222166\pi\) |
−0.745146 | + | 0.666901i | \(0.767620\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 22.6041 | + | 41.3963i | 0.792759 | + | 1.45183i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 38.6103 | − | 4.10723i | 1.35246 | − | 0.143870i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 6.37705 | + | 17.0975i | 0.223105 | + | 0.598167i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −6.82344 | + | 4.38516i | −0.238430 | + | 0.153230i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −5.21892 | − | 36.2984i | −0.182142 | − | 1.26682i | −0.851687 | − | 0.524051i | \(-0.824420\pi\) |
0.669545 | − | 0.742771i | \(-0.266489\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −2.16138 | − | 9.93569i | −0.0753408 | − | 0.346336i | 0.924010 | − | 0.382369i | \(-0.124892\pi\) |
−0.999351 | + | 0.0360326i | \(0.988528\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −64.2679 | − | 0.144180i | −2.23752 | − | 0.00501969i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −7.46991 | − | 7.46991i | −0.259754 | − | 0.259754i | 0.565200 | − | 0.824954i | \(-0.308799\pi\) |
−0.824954 | + | 0.565200i | \(0.808799\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | − | 28.2182i | − | 0.980057i | −0.871706 | − | 0.490029i | \(-0.836986\pi\) | ||
0.871706 | − | 0.490029i | \(-0.163014\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −65.3993 | + | 19.2030i | −2.26868 | + | 0.666144i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −21.4615 | + | 4.66865i | −0.743595 | + | 0.161759i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −14.0583 | − | 34.0477i | −0.486508 | − | 1.17827i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.29986 | − | 5.97535i | 0.0449297 | − | 0.206538i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −4.76827 | + | 10.4411i | −0.164619 | + | 0.360465i | −0.973907 | − | 0.226947i | \(-0.927126\pi\) |
0.809288 | + | 0.587412i | \(0.199853\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.81152 | − | 19.5545i | 0.0969489 | − | 0.674294i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 31.0925 | − | 16.9778i | 1.07088 | − | 0.584746i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −30.0371 | + | 5.38451i | −1.03331 | + | 0.185233i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.13234 | − | 0.224029i | 0.107628 | − | 0.00769774i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −16.9120 | − | 37.0320i | −0.580417 | − | 1.27094i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −12.6869 | − | 19.5516i | −0.434900 | − | 0.670219i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −9.83689 | + | 26.3737i | −0.336809 | + | 0.903019i | 0.652579 | + | 0.757720i | \(0.273687\pi\) |
−0.989388 | + | 0.145298i | \(0.953586\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −15.8831 | − | 47.9002i | −0.543190 | − | 1.63815i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 11.6102 | + | 0.830376i | 0.396596 | + | 0.0283651i | 0.268213 | − | 0.963360i | \(-0.413567\pi\) |
0.128383 | + | 0.991725i | \(0.459021\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 14.5817 | − | 49.6607i | 0.497521 | − | 1.69440i | −0.201661 | − | 0.979455i | \(-0.564634\pi\) |
0.699181 | − | 0.714944i | \(-0.253548\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.613367 | + | 0.0881889i | 0.0209035 | + | 0.00300547i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −47.9200 | + | 17.8732i | −1.63122 | + | 0.608412i | −0.987608 | − | 0.156943i | \(-0.949836\pi\) |
−0.643608 | + | 0.765355i | \(0.722563\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 31.7771 | + | 29.6522i | 1.08045 | + | 1.00820i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −15.4670 | − | 11.5784i | −0.525287 | − | 0.393225i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −7.81770 | + | 12.1646i | −0.265197 | + | 0.412655i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.09440 | − | 3.72718i | −0.0370823 | − | 0.126291i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −63.2739 | + | 63.2739i | −2.14150 | + | 2.14150i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 2.61833 | − | 2.42135i | 0.0885156 | − | 0.0818566i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −19.3351 | + | 35.4096i | −0.652900 | + | 1.19570i | 0.316120 | + | 0.948719i | \(0.397620\pi\) |
−0.969021 | + | 0.246979i | \(0.920562\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −42.4549 | − | 27.2841i | −1.43197 | − | 0.920271i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 2.99299 | − | 0.430327i | 0.100836 | − | 0.0144981i | −0.0917119 | − | 0.995786i | \(-0.529234\pi\) |
0.192548 | + | 0.981287i | \(0.438325\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −35.2432 | − | 7.66670i | −1.18603 | − | 0.258005i | −0.424070 | − | 0.905629i | \(-0.639399\pi\) |
−0.761960 | + | 0.647625i | \(0.775763\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −2.28573 | + | 12.5881i | −0.0768339 | + | 0.423145i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −21.1342 | − | 28.2320i | −0.709617 | − | 0.947938i | 0.290342 | − | 0.956923i | \(-0.406231\pi\) |
−0.999960 | + | 0.00898495i | \(0.997140\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.74388 | − | 1.09930i | −0.125566 | − | 0.0368694i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.68004 | − | 1.45577i | 0.0562835 | − | 0.0487700i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 1.58880 | + | 22.2143i | 0.0531670 | + | 0.743372i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 15.2296 | + | 1.65463i | 0.509068 | + | 0.0553082i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −55.9785 | − | 41.5220i | −1.86907 | − | 1.38638i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 7.16341 | − | 3.27142i | 0.238913 | − | 0.109108i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −10.5649 | + | 12.1926i | −0.351968 | + | 0.406193i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.255163 | − | 3.56764i | 0.00849128 | − | 0.118724i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −21.5188 | + | 19.9897i | −0.715309 | + | 0.664480i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 27.0094 | − | 20.2190i | 0.896832 | − | 0.671360i | −0.0480238 | − | 0.998846i | \(-0.515292\pi\) |
0.944856 | + | 0.327486i | \(0.106201\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −14.8202 | − | 6.76817i | −0.491556 | − | 0.224486i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −15.9877 | − | 24.8773i | −0.529695 | − | 0.824221i | 0.468550 | − | 0.883437i | \(-0.344776\pi\) |
−0.998245 | + | 0.0592155i | \(0.981140\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.04127 | − | 5.39851i | 0.133747 | − | 0.178665i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −27.4456 | − | 9.16899i | −0.907324 | − | 0.303117i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 3.07435 | + | 1.67872i | 0.101524 | + | 0.0554362i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 50.7741 | 1.67488 | 0.837442 | − | 0.546526i | \(-0.184050\pi\) | ||||
0.837442 | + | 0.546526i | \(0.184050\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −25.8367 | −0.851348 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −35.9284 | − | 19.6184i | −1.18260 | − | 0.645747i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −18.3998 | + | 15.8714i | −0.604983 | + | 0.521849i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −32.8069 | + | 43.8249i | −1.07752 | + | 1.43940i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 15.4337 | + | 24.0153i | 0.506363 | + | 0.787916i | 0.996488 | − | 0.0837363i | \(-0.0266854\pi\) |
−0.490125 | + | 0.871652i | \(0.663049\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 28.7490 | + | 13.1292i | 0.942209 | + | 0.430292i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −53.0132 | + | 39.6852i | −1.73557 | + | 1.29923i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −32.4826 | − | 1.19660i | −1.06230 | − | 0.0391331i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.23830 | − | 31.2955i | 0.0731220 | − | 1.02238i | −0.819941 | − | 0.572448i | \(-0.805994\pi\) |
0.893063 | − | 0.449931i | \(-0.148551\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 20.9413 | − | 24.1675i | 0.683393 | − | 0.788678i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −10.4386 | + | 4.76713i | −0.340287 | + | 0.155404i | −0.578227 | − | 0.815876i | \(-0.696255\pi\) |
0.237940 | + | 0.971280i | \(0.423528\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.717662 | + | 3.23057i | 0.0233703 | + | 0.105202i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.417712 | + | 3.84471i | −0.0135882 | + | 0.125068i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −0.873303 | − | 12.2104i | −0.0283785 | − | 0.396784i | −0.991712 | − | 0.128478i | \(-0.958991\pi\) |
0.963334 | − | 0.268306i | \(-0.0864637\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −27.8396 | + | 24.1231i | −0.903710 | + | 0.783069i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −67.2835 | − | 19.7562i | −2.18182 | − | 0.640640i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 11.8993 | + | 15.8956i | 0.385456 | + | 0.514909i | 0.950741 | − | 0.309987i | \(-0.100325\pi\) |
−0.565285 | + | 0.824896i | \(0.691234\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −10.1656 | − | 14.6763i | −0.328950 | − | 0.474915i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 87.6995 | + | 19.0779i | 2.83492 | + | 0.616700i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −7.28715 | + | 1.04773i | −0.235314 | + | 0.0338331i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −25.0088 | − | 16.0722i | −0.806735 | − | 0.518457i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 45.2831 | − | 82.9298i | 1.45923 | − | 2.67238i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 8.35117 | + | 32.8734i | 0.268834 | + | 1.05823i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 25.5921 | − | 25.5921i | 0.822985 | − | 0.822985i | −0.163550 | − | 0.986535i | \(-0.552294\pi\) |
0.986535 | + | 0.163550i | \(0.0522945\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −11.5702 | − | 39.4044i | −0.371687 | − | 1.26585i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −13.6108 | + | 21.1788i | −0.436792 | + | 0.679661i | −0.987956 | − | 0.154736i | \(-0.950547\pi\) |
0.551164 | + | 0.834397i | \(0.314184\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 3.52536 | + | 2.63905i | 0.113018 | + | 0.0846041i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −34.9672 | + | 63.6975i | −1.11985 | + | 2.03995i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −44.4716 | + | 16.5871i | −1.42277 | + | 0.530667i | −0.938814 | − | 0.344424i | \(-0.888074\pi\) |
−0.483958 | + | 0.875091i | \(0.660801\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −55.7170 | − | 8.01090i | −1.78072 | − | 0.256029i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 26.4036 | − | 89.9225i | 0.843003 | − | 2.87101i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −39.3722 | − | 2.81596i | −1.25578 | − | 0.0898150i | −0.572458 | − | 0.819934i | \(-0.694010\pi\) |
−0.683320 | + | 0.730119i | \(0.739465\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 18.9107 | − | 37.6730i | 0.602544 | − | 1.20036i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 1.52551 | − | 4.09004i | 0.0485574 | − | 0.130187i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 18.3038 | − | 5.46203i | 0.582026 | − | 0.173682i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −3.27709 | − | 7.17582i | −0.104100 | − | 0.227947i | 0.850413 | − | 0.526115i | \(-0.176352\pi\) |
−0.954514 | + | 0.298168i | \(0.903625\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 94.1100 | − | 6.73088i | 2.98649 | − | 0.213598i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −3.67801 | − | 20.5175i | −0.116601 | − | 0.650449i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 42.0804 | − | 22.9777i | 1.33270 | − | 0.727710i | 0.354438 | − | 0.935079i | \(-0.384672\pi\) |
0.978263 | + | 0.207370i | \(0.0664904\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 3.75004 | − | 26.0821i | 0.118646 | − | 0.825202i |
(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 | 920.2.bv.a.433.4 | yes | 720 | |
5.2 | odd | 4 | inner | 920.2.bv.a.617.4 | yes | 720 | |
23.17 | odd | 22 | inner | 920.2.bv.a.753.4 | yes | 720 | |
115.17 | even | 44 | inner | 920.2.bv.a.17.4 | ✓ | 720 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
920.2.bv.a.17.4 | ✓ | 720 | 115.17 | even | 44 | inner | |
920.2.bv.a.433.4 | yes | 720 | 1.1 | even | 1 | trivial | |
920.2.bv.a.617.4 | yes | 720 | 5.2 | odd | 4 | inner | |
920.2.bv.a.753.4 | yes | 720 | 23.17 | odd | 22 | inner |