Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 133.80 | ||
Character | \(\chi\) | \(=\) | 576.133 |
Dual form | 576.2.bm.a.13.80 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{1}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.25108 | − | 0.659399i | 0.884645 | − | 0.466266i | ||||
\(3\) | 0.977923 | − | 1.42957i | 0.564604 | − | 0.825362i | ||||
\(4\) | 1.13039 | − | 1.64992i | 0.565193 | − | 0.824959i | ||||
\(5\) | −0.765671 | − | 2.25560i | −0.342419 | − | 1.00873i | −0.972640 | − | 0.232317i | \(-0.925369\pi\) |
0.630221 | − | 0.776416i | \(-0.282964\pi\) | |||||||
\(6\) | 0.280800 | − | 2.43334i | 0.114636 | − | 0.993408i | ||||
\(7\) | 1.05377 | + | 1.37330i | 0.398286 | + | 0.519057i | 0.948846 | − | 0.315739i | \(-0.102252\pi\) |
−0.550560 | + | 0.834796i | \(0.685586\pi\) | |||||||
\(8\) | 0.326245 | − | 2.80955i | 0.115345 | − | 0.993325i | ||||
\(9\) | −1.08733 | − | 2.79602i | −0.362445 | − | 0.932005i | ||||
\(10\) | −2.44525 | − | 2.31704i | −0.773256 | − | 0.732712i | ||||
\(11\) | −0.555516 | + | 0.0364104i | −0.167494 | + | 0.0109782i | −0.148920 | − | 0.988849i | \(-0.547580\pi\) |
−0.0185748 | + | 0.999827i | \(0.505913\pi\) | |||||||
\(12\) | −1.25324 | − | 3.22946i | −0.361780 | − | 0.932264i | ||||
\(13\) | 4.12433 | + | 4.70290i | 1.14388 | + | 1.30435i | 0.946016 | + | 0.324120i | \(0.105068\pi\) |
0.197867 | + | 0.980229i | \(0.436599\pi\) | |||||||
\(14\) | 2.22389 | + | 1.02324i | 0.594360 | + | 0.273474i | ||||
\(15\) | −3.97330 | − | 1.11122i | −1.02590 | − | 0.286915i | ||||
\(16\) | −1.44446 | − | 3.73009i | −0.361114 | − | 0.932522i | ||||
\(17\) | −4.04767 | + | 4.04767i | −0.981703 | + | 0.981703i | −0.999836 | − | 0.0181323i | \(-0.994228\pi\) |
0.0181323 | + | 0.999836i | \(0.494228\pi\) | |||||||
\(18\) | −3.20403 | − | 2.78104i | −0.755197 | − | 0.655498i | ||||
\(19\) | 0.619179 | + | 3.11282i | 0.142049 | + | 0.714131i | 0.984504 | + | 0.175363i | \(0.0561099\pi\) |
−0.842454 | + | 0.538768i | \(0.818890\pi\) | |||||||
\(20\) | −4.58705 | − | 1.28640i | −1.02570 | − | 0.287647i | ||||
\(21\) | 2.99372 | − | 0.163455i | 0.653284 | − | 0.0356689i | ||||
\(22\) | −0.670984 | + | 0.411859i | −0.143054 | + | 0.0878086i | ||||
\(23\) | −2.14962 | − | 1.64946i | −0.448227 | − | 0.343936i | 0.359854 | − | 0.933009i | \(-0.382827\pi\) |
−0.808080 | + | 0.589072i | \(0.799493\pi\) | |||||||
\(24\) | −3.69740 | − | 3.21391i | −0.754729 | − | 0.656037i | ||||
\(25\) | −0.534691 | + | 0.410283i | −0.106938 | + | 0.0820565i | ||||
\(26\) | 8.26094 | + | 3.16410i | 1.62010 | + | 0.620532i | ||||
\(27\) | −5.06043 | − | 1.17987i | −0.973880 | − | 0.227065i | ||||
\(28\) | 3.45699 | − | 0.186275i | 0.653309 | − | 0.0352026i | ||||
\(29\) | 0.508442 | + | 1.03102i | 0.0944153 | + | 0.191455i | 0.938957 | − | 0.344034i | \(-0.111794\pi\) |
−0.844542 | + | 0.535490i | \(0.820127\pi\) | |||||||
\(30\) | −5.70363 | + | 1.22977i | −1.04134 | + | 0.224524i | ||||
\(31\) | 2.53342 | − | 1.46267i | 0.455016 | − | 0.262703i | −0.254930 | − | 0.966959i | \(-0.582053\pi\) |
0.709946 | + | 0.704256i | \(0.248719\pi\) | |||||||
\(32\) | −4.26674 | − | 3.71415i | −0.754260 | − | 0.656575i | ||||
\(33\) | −0.491200 | + | 0.829755i | −0.0855070 | + | 0.144442i | ||||
\(34\) | −2.39491 | + | 7.73297i | −0.410724 | + | 1.32619i | ||||
\(35\) | 2.29076 | − | 3.42836i | 0.387209 | − | 0.579499i | ||||
\(36\) | −5.84230 | − | 1.36656i | −0.973717 | − | 0.227760i | ||||
\(37\) | 1.55289 | − | 7.80690i | 0.255293 | − | 1.28345i | −0.614062 | − | 0.789258i | \(-0.710465\pi\) |
0.869355 | − | 0.494188i | \(-0.164535\pi\) | |||||||
\(38\) | 2.82723 | + | 3.48610i | 0.458638 | + | 0.565519i | ||||
\(39\) | 10.7564 | − | 1.29694i | 1.72240 | − | 0.207677i | ||||
\(40\) | −6.58700 | + | 1.41531i | −1.04150 | + | 0.223781i | ||||
\(41\) | 6.43239 | + | 4.93574i | 1.00457 | + | 0.770834i | 0.973501 | − | 0.228684i | \(-0.0734421\pi\) |
0.0310692 | + | 0.999517i | \(0.490109\pi\) | |||||||
\(42\) | 3.63759 | − | 2.17855i | 0.561293 | − | 0.336158i | ||||
\(43\) | 0.753577 | + | 11.4974i | 0.114919 | + | 1.75333i | 0.534093 | + | 0.845426i | \(0.320653\pi\) |
−0.419173 | + | 0.907906i | \(0.637680\pi\) | |||||||
\(44\) | −0.567873 | + | 0.957714i | −0.0856101 | + | 0.144381i | ||||
\(45\) | −5.47414 | + | 4.59342i | −0.816036 | + | 0.684746i | ||||
\(46\) | −3.77699 | − | 0.646145i | −0.556887 | − | 0.0952689i | ||||
\(47\) | −1.75166 | − | 6.53727i | −0.255505 | − | 0.953558i | −0.967809 | − | 0.251687i | \(-0.919015\pi\) |
0.712304 | − | 0.701872i | \(-0.247652\pi\) | |||||||
\(48\) | −6.74498 | − | 1.58279i | −0.973554 | − | 0.228455i | ||||
\(49\) | 1.03622 | − | 3.86722i | 0.148031 | − | 0.552460i | ||||
\(50\) | −0.398399 | + | 0.865870i | −0.0563421 | + | 0.122452i | ||||
\(51\) | 1.82811 | + | 9.74472i | 0.255987 | + | 1.36453i | ||||
\(52\) | 12.4215 | − | 1.48872i | 1.72255 | − | 0.206448i | ||||
\(53\) | −2.94043 | − | 4.40066i | −0.403899 | − | 0.604477i | 0.572643 | − | 0.819805i | \(-0.305918\pi\) |
−0.976542 | + | 0.215328i | \(0.930918\pi\) | |||||||
\(54\) | −7.10898 | + | 1.86074i | −0.967410 | + | 0.253214i | ||||
\(55\) | 0.507470 | + | 1.22514i | 0.0684272 | + | 0.165198i | ||||
\(56\) | 4.20213 | − | 2.51258i | 0.561533 | − | 0.335757i | ||||
\(57\) | 5.05551 | + | 2.15894i | 0.669618 | + | 0.285959i | ||||
\(58\) | 1.31595 | + | 0.954617i | 0.172793 | + | 0.125347i | ||||
\(59\) | 2.78077 | + | 8.19189i | 0.362026 | + | 1.06649i | 0.963525 | + | 0.267619i | \(0.0862370\pi\) |
−0.601499 | + | 0.798873i | \(0.705430\pi\) | |||||||
\(60\) | −6.32477 | + | 5.29951i | −0.816525 | + | 0.684163i | ||||
\(61\) | −6.59370 | + | 3.25166i | −0.844237 | + | 0.416332i | −0.812357 | − | 0.583160i | \(-0.801816\pi\) |
−0.0318800 | + | 0.999492i | \(0.510149\pi\) | |||||||
\(62\) | 2.20502 | − | 3.50045i | 0.280038 | − | 0.444557i | ||||
\(63\) | 2.69396 | − | 4.43958i | 0.339407 | − | 0.559334i | ||||
\(64\) | −7.78713 | − | 1.83320i | −0.973391 | − | 0.229150i | ||||
\(65\) | 7.44995 | − | 12.9037i | 0.924052 | − | 1.60051i | ||||
\(66\) | −0.0673897 | + | 1.36198i | −0.00829509 | + | 0.167649i | ||||
\(67\) | −0.254497 | + | 3.88288i | −0.0310918 | + | 0.474369i | 0.953715 | + | 0.300713i | \(0.0972248\pi\) |
−0.984806 | + | 0.173656i | \(0.944442\pi\) | |||||||
\(68\) | 2.10289 | + | 11.2537i | 0.255013 | + | 1.36472i | ||||
\(69\) | −4.46018 | + | 1.45998i | −0.536943 | + | 0.175761i | ||||
\(70\) | 0.605256 | − | 5.79967i | 0.0723419 | − | 0.693193i | ||||
\(71\) | −1.77930 | + | 4.29560i | −0.211164 | + | 0.509795i | −0.993603 | − | 0.112933i | \(-0.963975\pi\) |
0.782439 | + | 0.622727i | \(0.213975\pi\) | |||||||
\(72\) | −8.21028 | + | 2.14273i | −0.967591 | + | 0.252524i | ||||
\(73\) | −5.93905 | − | 14.3381i | −0.695114 | − | 1.67815i | −0.734214 | − | 0.678918i | \(-0.762449\pi\) |
0.0391005 | − | 0.999235i | \(-0.487551\pi\) | |||||||
\(74\) | −3.20508 | − | 10.7910i | −0.372583 | − | 1.25443i | ||||
\(75\) | 0.0636412 | + | 1.16560i | 0.00734865 | + | 0.134592i | ||||
\(76\) | 5.83581 | + | 2.49710i | 0.669414 | + | 0.286437i | ||||
\(77\) | −0.635386 | − | 0.724519i | −0.0724090 | − | 0.0825666i | ||||
\(78\) | 12.6019 | − | 8.71533i | 1.42688 | − | 0.986817i | ||||
\(79\) | 9.13053 | − | 2.44652i | 1.02726 | − | 0.275255i | 0.294438 | − | 0.955671i | \(-0.404867\pi\) |
0.732826 | + | 0.680416i | \(0.238201\pi\) | |||||||
\(80\) | −7.30759 | + | 6.11413i | −0.817013 | + | 0.683580i | ||||
\(81\) | −6.63541 | + | 6.08041i | −0.737267 | + | 0.675601i | ||||
\(82\) | 11.3020 | + | 1.93348i | 1.24810 | + | 0.213518i | ||||
\(83\) | 13.0525 | + | 4.43074i | 1.43270 | + | 0.486337i | 0.926571 | − | 0.376119i | \(-0.122742\pi\) |
0.506132 | + | 0.862456i | \(0.331075\pi\) | |||||||
\(84\) | 3.11437 | − | 5.12416i | 0.339806 | − | 0.559092i | ||||
\(85\) | 12.2291 | + | 6.03071i | 1.32643 | + | 0.654123i | ||||
\(86\) | 8.52414 | + | 13.8872i | 0.919181 | + | 1.49749i | ||||
\(87\) | 1.97113 | + | 0.281403i | 0.211327 | + | 0.0301696i | ||||
\(88\) | −0.0789374 | + | 1.57263i | −0.00841476 | + | 0.167643i | ||||
\(89\) | −1.86775 | − | 0.773649i | −0.197981 | − | 0.0820066i | 0.281490 | − | 0.959564i | \(-0.409171\pi\) |
−0.479471 | + | 0.877558i | \(0.659171\pi\) | |||||||
\(90\) | −3.81967 | + | 9.35636i | −0.402629 | + | 0.986247i | ||||
\(91\) | −2.11238 | + | 10.6197i | −0.221438 | + | 1.11324i | ||||
\(92\) | −5.15137 | + | 1.68217i | −0.537068 | + | 0.175378i | ||||
\(93\) | 0.386500 | − | 5.05208i | 0.0400782 | − | 0.523876i | ||||
\(94\) | −6.50212 | − | 7.02358i | −0.670643 | − | 0.724427i | ||||
\(95\) | 6.54718 | − | 3.78002i | 0.671727 | − | 0.387822i | ||||
\(96\) | −9.48218 | + | 2.46745i | −0.967771 | + | 0.251833i | ||||
\(97\) | 11.7390 | + | 6.77752i | 1.19192 | + | 0.688153i | 0.958741 | − | 0.284281i | \(-0.0917550\pi\) |
0.233175 | + | 0.972435i | \(0.425088\pi\) | |||||||
\(98\) | −1.25365 | − | 5.52147i | −0.126638 | − | 0.557752i | ||||
\(99\) | 0.705836 | + | 1.51364i | 0.0709392 | + | 0.152127i | ||||
\(100\) | 0.0725258 | + | 1.34597i | 0.00725258 | + | 0.134597i | ||||
\(101\) | −9.42192 | − | 8.26280i | −0.937516 | − | 0.822179i | 0.0467441 | − | 0.998907i | \(-0.485115\pi\) |
−0.984260 | + | 0.176728i | \(0.943449\pi\) | |||||||
\(102\) | 8.71277 | + | 10.9859i | 0.862693 | + | 1.08777i | ||||
\(103\) | 1.22676 | + | 9.31819i | 0.120877 | + | 0.918149i | 0.939195 | + | 0.343384i | \(0.111573\pi\) |
−0.818319 | + | 0.574765i | \(0.805094\pi\) | |||||||
\(104\) | 14.5586 | − | 10.0532i | 1.42758 | − | 0.985798i | ||||
\(105\) | −2.66090 | − | 6.62747i | −0.259677 | − | 0.646775i | ||||
\(106\) | −6.58049 | − | 3.56665i | −0.639154 | − | 0.346423i | ||||
\(107\) | −8.11283 | + | 5.42082i | −0.784297 | + | 0.524050i | −0.882047 | − | 0.471161i | \(-0.843835\pi\) |
0.0977508 | + | 0.995211i | \(0.468835\pi\) | |||||||
\(108\) | −7.66692 | + | 7.01558i | −0.737749 | + | 0.675075i | ||||
\(109\) | −0.931381 | − | 4.68237i | −0.0892101 | − | 0.448490i | −0.999411 | − | 0.0343221i | \(-0.989073\pi\) |
0.910201 | − | 0.414167i | \(-0.135927\pi\) | |||||||
\(110\) | 1.44274 | + | 1.19812i | 0.137560 | + | 0.114236i | ||||
\(111\) | −9.64189 | − | 9.85450i | −0.915168 | − | 0.935348i | ||||
\(112\) | 3.60039 | − | 5.91430i | 0.340205 | − | 0.558849i | ||||
\(113\) | 0.818038 | − | 3.05296i | 0.0769545 | − | 0.287198i | −0.916715 | − | 0.399542i | \(-0.869169\pi\) |
0.993669 | + | 0.112344i | \(0.0358358\pi\) | |||||||
\(114\) | 7.74843 | − | 0.632595i | 0.725707 | − | 0.0592479i | ||||
\(115\) | −2.07461 | + | 6.11162i | −0.193459 | + | 0.569911i | ||||
\(116\) | 2.27583 | + | 0.326561i | 0.211306 | + | 0.0303204i | ||||
\(117\) | 8.66484 | − | 16.6453i | 0.801065 | − | 1.53886i | ||||
\(118\) | 8.88068 | + | 8.41504i | 0.817533 | + | 0.774667i | ||||
\(119\) | −9.82393 | − | 1.29335i | −0.900559 | − | 0.118561i | ||||
\(120\) | −4.41829 | + | 10.8006i | −0.403333 | + | 0.985959i | ||||
\(121\) | −10.5986 | + | 1.39533i | −0.963511 | + | 0.126849i | ||||
\(122\) | −6.10509 | + | 8.41595i | −0.552729 | + | 0.761945i | ||||
\(123\) | 13.3464 | − | 4.36876i | 1.20340 | − | 0.393918i | ||||
\(124\) | 0.450456 | − | 5.83332i | 0.0404521 | − | 0.523847i | ||||
\(125\) | −8.56801 | − | 5.72496i | −0.766346 | − | 0.512056i | ||||
\(126\) | 0.442893 | − | 7.33065i | 0.0394561 | − | 0.653066i | ||||
\(127\) | −12.9883 | −1.15253 | −0.576264 | − | 0.817263i | \(-0.695490\pi\) | ||||
−0.576264 | + | 0.817263i | \(0.695490\pi\) | |||||||
\(128\) | −10.9511 | + | 2.84135i | −0.967950 | + | 0.251142i | ||||
\(129\) | 17.1732 | + | 10.1662i | 1.51202 | + | 0.895088i | ||||
\(130\) | 0.811776 | − | 21.0560i | 0.0711975 | − | 1.84673i | ||||
\(131\) | 0.158470 | − | 2.41779i | 0.0138456 | − | 0.211243i | −0.985330 | − | 0.170657i | \(-0.945411\pi\) |
0.999176 | − | 0.0405858i | \(-0.0129224\pi\) | |||||||
\(132\) | 0.813782 | + | 1.74838i | 0.0708306 | + | 0.152177i | ||||
\(133\) | −3.62236 | + | 4.13050i | −0.314098 | + | 0.358160i | ||||
\(134\) | 2.24197 | + | 5.02560i | 0.193677 | + | 0.434145i | ||||
\(135\) | 1.21332 | + | 12.3177i | 0.104426 | + | 1.06014i | ||||
\(136\) | 10.0516 | + | 12.6926i | 0.861916 | + | 1.08839i | ||||
\(137\) | 3.94854 | + | 0.519836i | 0.337347 | + | 0.0444126i | 0.297297 | − | 0.954785i | \(-0.403915\pi\) |
0.0400501 | + | 0.999198i | \(0.487248\pi\) | |||||||
\(138\) | −4.61731 | + | 4.76759i | −0.393052 | + | 0.405844i | ||||
\(139\) | −3.32239 | + | 6.73714i | −0.281802 | + | 0.571437i | −0.991045 | − | 0.133526i | \(-0.957370\pi\) |
0.709244 | + | 0.704963i | \(0.249037\pi\) | |||||||
\(140\) | −3.06708 | − | 7.65494i | −0.259215 | − | 0.646960i | ||||
\(141\) | −11.0585 | − | 3.88883i | −0.931290 | − | 0.327498i | ||||
\(142\) | 0.606480 | + | 6.54740i | 0.0508947 | + | 0.549445i | ||||
\(143\) | −2.46237 | − | 2.46237i | −0.205913 | − | 0.205913i | ||||
\(144\) | −8.85877 | + | 8.09458i | −0.738231 | + | 0.674548i | ||||
\(145\) | 1.93626 | − | 1.93626i | 0.160798 | − | 0.160798i | ||||
\(146\) | −16.8848 | − | 14.0219i | −1.39739 | − | 1.16046i | ||||
\(147\) | −4.51511 | − | 5.26318i | −0.372400 | − | 0.434100i | ||||
\(148\) | −11.1254 | − | 11.3869i | −0.914500 | − | 0.936001i | ||||
\(149\) | 9.80170 | + | 4.83366i | 0.802987 | + | 0.395989i | 0.796990 | − | 0.603993i | \(-0.206424\pi\) |
0.00599682 | + | 0.999982i | \(0.498091\pi\) | |||||||
\(150\) | 0.848217 | + | 1.41629i | 0.0692566 | + | 0.115640i | ||||
\(151\) | −1.57887 | + | 11.9927i | −0.128487 | + | 0.975952i | 0.798799 | + | 0.601598i | \(0.205469\pi\) |
−0.927286 | + | 0.374354i | \(0.877864\pi\) | |||||||
\(152\) | 8.94763 | − | 0.724071i | 0.725749 | − | 0.0587299i | ||||
\(153\) | 15.7185 | + | 6.91617i | 1.27077 | + | 0.559139i | ||||
\(154\) | −1.27266 | − | 0.487456i | −0.102554 | − | 0.0392803i | ||||
\(155\) | −5.23896 | − | 4.59445i | −0.420804 | − | 0.369035i | ||||
\(156\) | 10.0190 | − | 19.2132i | 0.802163 | − | 1.53829i | ||||
\(157\) | 7.24350 | + | 0.474764i | 0.578094 | + | 0.0378903i | 0.351646 | − | 0.936133i | \(-0.385622\pi\) |
0.226448 | + | 0.974023i | \(0.427289\pi\) | |||||||
\(158\) | 9.80976 | − | 9.08144i | 0.780422 | − | 0.722481i | ||||
\(159\) | −9.16656 | − | 0.0999615i | −0.726955 | − | 0.00792747i | ||||
\(160\) | −5.11070 | + | 12.4679i | −0.404036 | + | 0.985671i | ||||
\(161\) | − | 4.69021i | − | 0.369640i | ||||||
\(162\) | −4.29198 | + | 11.9824i | −0.337210 | + | 0.941429i | ||||
\(163\) | −10.2642 | + | 15.3615i | −0.803956 | + | 1.20321i | 0.171969 | + | 0.985102i | \(0.444987\pi\) |
−0.975926 | + | 0.218104i | \(0.930013\pi\) | |||||||
\(164\) | 15.4146 | − | 5.03361i | 1.20368 | − | 0.393059i | ||||
\(165\) | 2.24769 | + | 0.472630i | 0.174982 | + | 0.0367942i | ||||
\(166\) | 19.2514 | − | 3.06364i | 1.49420 | − | 0.237784i | ||||
\(167\) | −0.590107 | − | 4.48231i | −0.0456638 | − | 0.346851i | −0.998991 | − | 0.0449118i | \(-0.985699\pi\) |
0.953327 | − | 0.301939i | \(-0.0976340\pi\) | |||||||
\(168\) | 0.517451 | − | 8.46433i | 0.0399222 | − | 0.653038i | ||||
\(169\) | −3.41030 | + | 25.9038i | −0.262331 | + | 1.99260i | ||||
\(170\) | 19.2762 | − | 0.518957i | 1.47841 | − | 0.0398022i | ||||
\(171\) | 8.03025 | − | 5.11592i | 0.614088 | − | 0.391224i | ||||
\(172\) | 19.8215 | + | 11.7531i | 1.51138 | + | 0.896167i | ||||
\(173\) | 15.6095 | + | 5.29870i | 1.18677 | + | 0.402853i | 0.843884 | − | 0.536525i | \(-0.180263\pi\) |
0.342882 | + | 0.939378i | \(0.388597\pi\) | |||||||
\(174\) | 2.65159 | − | 0.947704i | 0.201017 | − | 0.0718452i | ||||
\(175\) | −1.12688 | − | 0.301946i | −0.0851840 | − | 0.0228250i | ||||
\(176\) | 0.938233 | + | 2.01953i | 0.0707220 | + | 0.152228i | ||||
\(177\) | 14.4302 | + | 4.03573i | 1.08464 | + | 0.303344i | ||||
\(178\) | −2.84685 | + | 0.263701i | −0.213380 | + | 0.0197652i | ||||
\(179\) | −9.44178 | + | 1.87809i | −0.705712 | + | 0.140375i | −0.534883 | − | 0.844926i | \(-0.679644\pi\) |
−0.170829 | + | 0.985301i | \(0.554644\pi\) | |||||||
\(180\) | 1.39087 | + | 14.2242i | 0.103669 | + | 1.06021i | ||||
\(181\) | 1.68086 | + | 2.51558i | 0.124937 | + | 0.186982i | 0.888665 | − | 0.458556i | \(-0.151633\pi\) |
−0.763728 | + | 0.645538i | \(0.776633\pi\) | |||||||
\(182\) | 4.35985 | + | 14.6789i | 0.323173 | + | 1.08807i | ||||
\(183\) | −1.79967 | + | 12.6060i | −0.133035 | + | 0.931864i | ||||
\(184\) | −5.33554 | + | 5.50133i | −0.393342 | + | 0.405564i | ||||
\(185\) | −18.7982 | + | 2.47483i | −1.38207 | + | 0.181953i | ||||
\(186\) | −2.84779 | − | 6.57540i | −0.208810 | − | 0.482131i | ||||
\(187\) | 2.10117 | − | 2.39592i | 0.153652 | − | 0.175207i | ||||
\(188\) | −12.7660 | − | 4.49955i | −0.931056 | − | 0.328163i | ||||
\(189\) | −3.71220 | − | 8.19276i | −0.270023 | − | 0.595936i | ||||
\(190\) | 5.69849 | − | 9.04630i | 0.413412 | − | 0.656288i | ||||
\(191\) | 6.79274 | − | 11.7654i | 0.491506 | − | 0.851313i | −0.508446 | − | 0.861094i | \(-0.669780\pi\) |
0.999952 | + | 0.00978071i | \(0.00311335\pi\) | |||||||
\(192\) | −10.2359 | + | 9.33951i | −0.738712 | + | 0.674021i | ||||
\(193\) | −9.93674 | − | 17.2109i | −0.715263 | − | 1.23887i | −0.962858 | − | 0.270008i | \(-0.912974\pi\) |
0.247596 | − | 0.968863i | \(-0.420360\pi\) | |||||||
\(194\) | 19.1555 | + | 0.738506i | 1.37528 | + | 0.0530216i | ||||
\(195\) | −11.1612 | − | 23.2690i | −0.799273 | − | 1.66633i | ||||
\(196\) | −5.20926 | − | 6.08112i | −0.372090 | − | 0.434366i | ||||
\(197\) | −0.513417 | − | 0.102125i | −0.0365794 | − | 0.00727610i | 0.176767 | − | 0.984253i | \(-0.443436\pi\) |
−0.213346 | + | 0.976977i | \(0.568436\pi\) | |||||||
\(198\) | 1.88115 | + | 1.42825i | 0.133687 | + | 0.101502i | ||||
\(199\) | 4.30335 | − | 10.3892i | 0.305057 | − | 0.736472i | −0.694794 | − | 0.719208i | \(-0.744505\pi\) |
0.999851 | − | 0.0172633i | \(-0.00549536\pi\) | |||||||
\(200\) | 0.978269 | + | 1.63609i | 0.0691741 | + | 0.115689i | ||||
\(201\) | 5.30197 | + | 4.16098i | 0.373972 | + | 0.293493i | ||||
\(202\) | −17.2360 | − | 4.12459i | −1.21272 | − | 0.290205i | ||||
\(203\) | −0.880114 | + | 1.78469i | −0.0617719 | + | 0.125261i | ||||
\(204\) | 18.1445 | + | 7.99906i | 1.27037 | + | 0.560046i | ||||
\(205\) | 6.20795 | − | 18.2880i | 0.433582 | − | 1.27729i | ||||
\(206\) | 7.67918 | + | 10.8488i | 0.535034 | + | 0.755875i | ||||
\(207\) | −2.27456 | + | 7.80389i | −0.158093 | + | 0.542408i | ||||
\(208\) | 11.5848 | − | 22.1772i | 0.803261 | − | 1.53771i | ||||
\(209\) | −0.457303 | − | 1.70668i | −0.0316323 | − | 0.118053i | ||||
\(210\) | −7.69913 | − | 6.53688i | −0.531291 | − | 0.451088i | ||||
\(211\) | −11.6219 | + | 10.1921i | −0.800082 | + | 0.701653i | −0.958304 | − | 0.285750i | \(-0.907757\pi\) |
0.158222 | + | 0.987404i | \(0.449424\pi\) | |||||||
\(212\) | −10.5845 | − | 0.122981i | −0.726949 | − | 0.00844635i | ||||
\(213\) | 4.40085 | + | 6.74440i | 0.301541 | + | 0.462119i | ||||
\(214\) | −6.57529 | + | 12.1314i | −0.449477 | + | 0.829289i | ||||
\(215\) | 25.3564 | − | 10.5030i | 1.72929 | − | 0.716297i | ||||
\(216\) | −4.96583 | + | 13.8326i | −0.337882 | + | 0.941188i | ||||
\(217\) | 4.67831 | + | 1.93782i | 0.317585 | + | 0.131548i | ||||
\(218\) | −4.25278 | − | 5.24385i | −0.288035 | − | 0.355158i | ||||
\(219\) | −26.3053 | − | 5.53131i | −1.77755 | − | 0.373771i | ||||
\(220\) | 2.59502 | + | 0.547598i | 0.174956 | + | 0.0369191i | ||||
\(221\) | −35.7297 | − | 2.34185i | −2.40344 | − | 0.157530i | ||||
\(222\) | −18.5608 | − | 5.97088i | −1.24572 | − | 0.400739i | ||||
\(223\) | −12.8210 | − | 7.40223i | −0.858561 | − | 0.495690i | 0.00496938 | − | 0.999988i | \(-0.498418\pi\) |
−0.863530 | + | 0.504297i | \(0.831752\pi\) | |||||||
\(224\) | 0.604477 | − | 9.77334i | 0.0403883 | − | 0.653009i | ||||
\(225\) | 1.72854 | + | 1.04889i | 0.115236 | + | 0.0699259i | ||||
\(226\) | −0.989690 | − | 4.35890i | −0.0658332 | − | 0.289950i | ||||
\(227\) | −3.06508 | − | 6.21536i | −0.203436 | − | 0.412528i | 0.771114 | − | 0.636697i | \(-0.219700\pi\) |
−0.974550 | + | 0.224169i | \(0.928033\pi\) | |||||||
\(228\) | 9.27675 | − | 5.90073i | 0.614368 | − | 0.390785i | ||||
\(229\) | −5.67410 | + | 1.92610i | −0.374955 | + | 0.127280i | −0.502554 | − | 0.864546i | \(-0.667606\pi\) |
0.127599 | + | 0.991826i | \(0.459273\pi\) | |||||||
\(230\) | 1.43449 | + | 9.01410i | 0.0945877 | + | 0.594372i | ||||
\(231\) | −1.65711 | + | 0.199805i | −0.109030 | + | 0.0131462i | ||||
\(232\) | 3.06257 | − | 1.09213i | 0.201068 | − | 0.0717017i | ||||
\(233\) | −17.4537 | + | 7.22957i | −1.14343 | + | 0.473625i | −0.872326 | − | 0.488924i | \(-0.837389\pi\) |
−0.271106 | + | 0.962549i | \(0.587389\pi\) | |||||||
\(234\) | −0.135519 | − | 26.5381i | −0.00885918 | − | 1.73485i | ||||
\(235\) | −13.4042 | + | 8.95642i | −0.874396 | + | 0.584253i | ||||
\(236\) | 16.6593 | + | 4.67195i | 1.08443 | + | 0.304118i | ||||
\(237\) | 5.43148 | − | 15.4452i | 0.352813 | − | 1.00327i | ||||
\(238\) | −13.1433 | + | 4.85982i | −0.851955 | + | 0.315015i | ||||
\(239\) | 23.1884 | + | 6.21332i | 1.49993 | + | 0.401906i | 0.913078 | − | 0.407785i | \(-0.133699\pi\) |
0.586856 | + | 0.809691i | \(0.300365\pi\) | |||||||
\(240\) | 1.59432 | + | 16.4258i | 0.102913 | + | 1.06028i | ||||
\(241\) | −0.432149 | + | 0.115794i | −0.0278372 | + | 0.00745895i | −0.272711 | − | 0.962096i | \(-0.587920\pi\) |
0.244874 | + | 0.969555i | \(0.421254\pi\) | |||||||
\(242\) | −12.3396 | + | 8.73439i | −0.793220 | + | 0.561468i | ||||
\(243\) | 2.20345 | + | 15.4319i | 0.141352 | + | 0.989959i | ||||
\(244\) | −2.08847 | + | 14.5547i | −0.133700 | + | 0.931769i | ||||
\(245\) | −9.51628 | + | 0.623730i | −0.607973 | + | 0.0398486i | ||||
\(246\) | 13.8166 | − | 14.2662i | 0.880912 | − | 0.909582i | ||||
\(247\) | −12.0856 | + | 15.7502i | −0.768987 | + | 1.00216i | ||||
\(248\) | −3.28293 | − | 7.59496i | −0.208466 | − | 0.482280i | ||||
\(249\) | 19.0984 | − | 14.3266i | 1.21031 | − | 0.907911i | ||||
\(250\) | −14.4943 | − | 1.51263i | −0.916698 | − | 0.0956669i | ||||
\(251\) | −8.06992 | − | 1.60521i | −0.509369 | − | 0.101320i | −0.0662864 | − | 0.997801i | \(-0.521115\pi\) |
−0.443082 | + | 0.896481i | \(0.646115\pi\) | |||||||
\(252\) | −4.27973 | − | 9.46324i | −0.269598 | − | 0.596128i | ||||
\(253\) | 1.25421 | + | 0.838033i | 0.0788512 | + | 0.0526867i | ||||
\(254\) | −16.2494 | + | 8.56450i | −1.01958 | + | 0.537384i | ||||
\(255\) | 20.5804 | − | 11.5847i | 1.28880 | − | 0.725465i | ||||
\(256\) | −11.8271 | + | 10.7759i | −0.739193 | + | 0.673493i | ||||
\(257\) | −8.28955 | − | 14.3579i | −0.517088 | − | 0.895622i | −0.999803 | − | 0.0198449i | \(-0.993683\pi\) |
0.482715 | − | 0.875777i | \(-0.339651\pi\) | |||||||
\(258\) | 28.1886 | + | 1.39475i | 1.75495 | + | 0.0868331i | ||||
\(259\) | 12.3576 | − | 6.09407i | 0.767861 | − | 0.378667i | ||||
\(260\) | −12.8687 | − | 26.8779i | −0.798083 | − | 1.66690i | ||||
\(261\) | 2.32990 | − | 2.54267i | 0.144217 | − | 0.157388i | ||||
\(262\) | −1.39603 | − | 3.12933i | −0.0862469 | − | 0.193331i | ||||
\(263\) | 9.49509 | + | 12.3742i | 0.585492 | + | 0.763029i | 0.988344 | − | 0.152237i | \(-0.0486476\pi\) |
−0.402852 | + | 0.915265i | \(0.631981\pi\) | |||||||
\(264\) | 2.17099 | + | 1.65075i | 0.133615 | + | 0.101597i | ||||
\(265\) | −7.67471 | + | 10.0019i | −0.471453 | + | 0.614410i | ||||
\(266\) | −1.80819 | + | 7.55616i | −0.110867 | + | 0.463298i | ||||
\(267\) | −2.93250 | + | 1.91351i | −0.179466 | + | 0.117105i | ||||
\(268\) | 6.11875 | + | 4.80905i | 0.373762 | + | 0.293760i | ||||
\(269\) | 5.05669 | − | 1.00584i | 0.308312 | − | 0.0613270i | −0.0385096 | − | 0.999258i | \(-0.512261\pi\) |
0.346821 | + | 0.937931i | \(0.387261\pi\) | |||||||
\(270\) | 9.64022 | + | 14.6103i | 0.586685 | + | 0.889153i | ||||
\(271\) | 0.0628361 | + | 0.0628361i | 0.00381702 | + | 0.00381702i | 0.709013 | − | 0.705196i | \(-0.249141\pi\) |
−0.705196 | + | 0.709013i | \(0.749141\pi\) | |||||||
\(272\) | 20.9448 | + | 9.25147i | 1.26997 | + | 0.560953i | ||||
\(273\) | 13.1158 | + | 13.4050i | 0.793805 | + | 0.811309i | ||||
\(274\) | 5.28271 | − | 1.95331i | 0.319140 | − | 0.118004i | ||||
\(275\) | 0.282091 | − | 0.247387i | 0.0170107 | − | 0.0149180i | ||||
\(276\) | −2.63287 | + | 9.00927i | −0.158480 | + | 0.542295i | ||||
\(277\) | −1.72003 | − | 26.2425i | −0.103346 | − | 1.57676i | −0.663375 | − | 0.748287i | \(-0.730877\pi\) |
0.560029 | − | 0.828473i | \(-0.310790\pi\) | |||||||
\(278\) | 0.285900 | + | 10.6195i | 0.0171471 | + | 0.636913i | ||||
\(279\) | −6.84433 | − | 5.49307i | −0.409759 | − | 0.328862i | ||||
\(280\) | −8.88481 | − | 7.55449i | −0.530969 | − | 0.451467i | ||||
\(281\) | 6.21873 | − | 4.77180i | 0.370978 | − | 0.284662i | −0.406400 | − | 0.913695i | \(-0.633216\pi\) |
0.777378 | + | 0.629034i | \(0.216549\pi\) | |||||||
\(282\) | −16.3993 | + | 2.42671i | −0.976562 | + | 0.144509i | ||||
\(283\) | 22.3858 | − | 7.59897i | 1.33070 | − | 0.451712i | 0.436631 | − | 0.899641i | \(-0.356172\pi\) |
0.894069 | + | 0.447929i | \(0.147838\pi\) | |||||||
\(284\) | 5.07610 | + | 7.79139i | 0.301211 | + | 0.462334i | ||||
\(285\) | 0.998842 | − | 13.0562i | 0.0591663 | − | 0.773383i | ||||
\(286\) | −4.70429 | − | 1.45693i | −0.278170 | − | 0.0861499i | ||||
\(287\) | 14.0347i | 0.828441i | ||||||||
\(288\) | −5.74545 | + | 15.9684i | −0.338554 | + | 0.940947i | ||||
\(289\) | − | 15.7672i | − | 0.927483i | ||||||
\(290\) | 1.14564 | − | 3.69918i | 0.0672744 | − | 0.217223i | ||||
\(291\) | 21.1688 | − | 10.1538i | 1.24094 | − | 0.595229i | ||||
\(292\) | −30.3702 | − | 6.40868i | −1.77728 | − | 0.375040i | ||||
\(293\) | −11.4555 | + | 3.88863i | −0.669240 | + | 0.227176i | −0.635321 | − | 0.772248i | \(-0.719132\pi\) |
−0.0339192 | + | 0.999425i | \(0.510799\pi\) | |||||||
\(294\) | −9.11929 | − | 3.60738i | −0.531848 | − | 0.210387i | ||||
\(295\) | 16.3484 | − | 12.5446i | 0.951842 | − | 0.730374i | ||||
\(296\) | −21.4272 | − | 6.90988i | −1.24543 | − | 0.401628i | ||||
\(297\) | 2.85411 | + | 0.471182i | 0.165612 | + | 0.0273408i | ||||
\(298\) | 15.4500 | − | 0.415948i | 0.894994 | − | 0.0240952i | ||||
\(299\) | −1.10849 | − | 16.9124i | −0.0641059 | − | 0.978067i | ||||
\(300\) | 1.99509 | + | 1.21258i | 0.115186 | + | 0.0700082i | ||||
\(301\) | −14.9952 | + | 13.1504i | −0.864308 | + | 0.757978i | ||||
\(302\) | 5.93269 | + | 16.0449i | 0.341388 | + | 0.923280i | ||||
\(303\) | −21.0261 | + | 5.38890i | −1.20792 | + | 0.309584i | ||||
\(304\) | 10.7167 | − | 6.80593i | 0.614646 | − | 0.390347i | ||||
\(305\) | 12.3830 | + | 12.3830i | 0.709050 | + | 0.709050i | ||||
\(306\) | 24.2256 | − | 1.71211i | 1.38488 | − | 0.0978749i | ||||
\(307\) | −30.3434 | + | 6.03567i | −1.73179 | + | 0.344474i | −0.957516 | − | 0.288379i | \(-0.906884\pi\) |
−0.774272 | + | 0.632853i | \(0.781884\pi\) | |||||||
\(308\) | −1.91363 | + | 0.229349i | −0.109039 | + | 0.0130684i | ||||
\(309\) | 14.5207 | + | 7.35873i | 0.826052 | + | 0.418623i | ||||
\(310\) | −9.58392 | − | 2.29344i | −0.544330 | − | 0.130259i | ||||
\(311\) | 9.85966 | − | 12.8494i | 0.559090 | − | 0.728620i | −0.425216 | − | 0.905092i | \(-0.639802\pi\) |
0.984306 | + | 0.176472i | \(0.0564685\pi\) | |||||||
\(312\) | −0.134611 | − | 30.6437i | −0.00762087 | − | 1.73486i | ||||
\(313\) | −10.1569 | − | 13.2368i | −0.574103 | − | 0.748186i | 0.412566 | − | 0.910928i | \(-0.364633\pi\) |
−0.986669 | + | 0.162742i | \(0.947966\pi\) | |||||||
\(314\) | 9.37523 | − | 4.18239i | 0.529075 | − | 0.236026i | ||||
\(315\) | −12.0766 | − | 2.67722i | −0.680438 | − | 0.150844i | ||||
\(316\) | 6.28446 | − | 17.8301i | 0.353529 | − | 1.00302i | ||||
\(317\) | −17.6109 | + | 8.68476i | −0.989129 | + | 0.487784i | −0.863530 | − | 0.504297i | \(-0.831752\pi\) |
−0.125599 | + | 0.992081i | \(0.540085\pi\) | |||||||
\(318\) | −11.5340 | + | 5.91936i | −0.646793 | + | 0.331941i | ||||
\(319\) | −0.319988 | − | 0.554235i | −0.0179159 | − | 0.0310312i | ||||
\(320\) | 1.82742 | + | 18.9682i | 0.102156 | + | 1.06036i | ||||
\(321\) | −0.184284 | + | 16.8990i | −0.0102857 | + | 0.943209i | ||||
\(322\) | −3.09272 | − | 5.86781i | −0.172350 | − | 0.327000i | ||||
\(323\) | −15.1059 | − | 10.0934i | −0.840515 | − | 0.561614i | ||||
\(324\) | 2.53161 | + | 17.8211i | 0.140645 | + | 0.990060i | ||||
\(325\) | −4.13476 | − | 0.822454i | −0.229355 | − | 0.0456216i | ||||
\(326\) | −2.71198 | + | 25.9866i | −0.150202 | + | 1.43927i | ||||
\(327\) | −7.60459 | − | 3.24752i | −0.420535 | − | 0.179588i | ||||
\(328\) | 15.9657 | − | 16.4618i | 0.881561 | − | 0.908953i | ||||
\(329\) | 7.13176 | − | 9.29429i | 0.393187 | − | 0.512411i | ||||
\(330\) | 3.12368 | − | 0.890829i | 0.171953 | − | 0.0490385i | ||||
\(331\) | −12.1643 | + | 0.797288i | −0.668608 | + | 0.0438229i | −0.395928 | − | 0.918282i | \(-0.629577\pi\) |
−0.272681 | + | 0.962105i | \(0.587910\pi\) | |||||||
\(332\) | 22.0648 | − | 16.5272i | 1.21096 | − | 0.907047i | ||||
\(333\) | −23.5167 | + | 4.14681i | −1.28871 | + | 0.227244i | ||||
\(334\) | −3.69390 | − | 5.21859i | −0.202121 | − | 0.285549i | ||||
\(335\) | 8.95307 | − | 2.39897i | 0.489158 | − | 0.131070i | ||||
\(336\) | −4.93400 | − | 10.9307i | −0.269172 | − | 0.596321i | ||||
\(337\) | −3.27078 | − | 0.876403i | −0.178171 | − | 0.0477407i | 0.168631 | − | 0.985679i | \(-0.446066\pi\) |
−0.346801 | + | 0.937939i | \(0.612732\pi\) | |||||||
\(338\) | 12.8144 | + | 34.6564i | 0.697011 | + | 1.88506i | ||||
\(339\) | −3.56444 | − | 4.15500i | −0.193594 | − | 0.225669i | ||||
\(340\) | 23.7738 | − | 13.3599i | 1.28931 | − | 0.724545i | ||||
\(341\) | −1.35410 | + | 0.904780i | −0.0733286 | + | 0.0489966i | ||||
\(342\) | 6.67303 | − | 11.6955i | 0.360836 | − | 0.632423i | ||||
\(343\) | 17.5974 | − | 7.28909i | 0.950171 | − | 0.393574i | ||||
\(344\) | 32.5483 | + | 1.63375i | 1.75488 | + | 0.0880857i | ||||
\(345\) | 6.70817 | + | 8.94249i | 0.361155 | + | 0.481448i | ||||
\(346\) | 23.0226 | − | 3.66379i | 1.23770 | − | 0.196967i | ||||
\(347\) | −9.05715 | + | 3.07449i | −0.486213 | + | 0.165047i | −0.553772 | − | 0.832668i | \(-0.686812\pi\) |
0.0675591 | + | 0.997715i | \(0.478479\pi\) | |||||||
\(348\) | 2.69243 | − | 2.93411i | 0.144329 | − | 0.157285i | ||||
\(349\) | −6.02400 | − | 12.2155i | −0.322457 | − | 0.653879i | 0.673931 | − | 0.738795i | \(-0.264605\pi\) |
−0.996388 | + | 0.0849156i | \(0.972938\pi\) | |||||||
\(350\) | −1.60891 | + | 0.365305i | −0.0860001 | + | 0.0195264i | ||||
\(351\) | −15.3221 | − | 28.6648i | −0.817832 | − | 1.53001i | ||||
\(352\) | 2.50548 | + | 1.90792i | 0.133542 | + | 0.101692i | ||||
\(353\) | −0.190057 | − | 0.109729i | −0.0101157 | − | 0.00584030i | 0.494934 | − | 0.868931i | \(-0.335192\pi\) |
−0.505049 | + | 0.863090i | \(0.668526\pi\) | |||||||
\(354\) | 20.7145 | − | 4.46629i | 1.10096 | − | 0.237380i | ||||
\(355\) | 11.0515 | + | 0.724354i | 0.586553 | + | 0.0384447i | ||||
\(356\) | −3.38774 | + | 2.20712i | −0.179550 | + | 0.116977i | ||||
\(357\) | −11.4560 | + | 12.7792i | −0.606314 | + | 0.676347i | ||||
\(358\) | −10.5740 | + | 8.57553i | −0.558852 | + | 0.453231i | ||||
\(359\) | −28.4547 | − | 11.7863i | −1.50178 | − | 0.622058i | −0.527938 | − | 0.849283i | \(-0.677035\pi\) |
−0.973842 | + | 0.227225i | \(0.927035\pi\) | |||||||
\(360\) | 11.1195 | + | 16.8784i | 0.586050 | + | 0.889572i | ||||
\(361\) | 8.24742 | − | 3.41619i | 0.434075 | − | 0.179800i | ||||
\(362\) | 3.76165 | + | 2.03883i | 0.197708 | + | 0.107159i | ||||
\(363\) | −8.36990 | + | 16.5160i | −0.439306 | + | 0.866865i | ||||
\(364\) | 15.1338 | + | 15.4896i | 0.793225 | + | 0.811875i | ||||
\(365\) | −27.7937 | + | 24.3744i | −1.45479 | + | 1.27582i | ||||
\(366\) | 6.06088 | + | 16.9578i | 0.316807 | + | 0.886398i | ||||
\(367\) | −6.15471 | − | 22.9697i | −0.321273 | − | 1.19901i | −0.918006 | − | 0.396568i | \(-0.870201\pi\) |
0.596732 | − | 0.802440i | \(-0.296465\pi\) | |||||||
\(368\) | −3.04760 | + | 10.4008i | −0.158867 | + | 0.542181i | ||||
\(369\) | 6.80626 | − | 23.3519i | 0.354320 | − | 1.21565i | ||||
\(370\) | −21.8861 | + | 15.4917i | −1.13780 | + | 0.805376i | ||||
\(371\) | 2.94488 | − | 8.67534i | 0.152891 | − | 0.450401i | ||||
\(372\) | −7.89862 | − | 6.34849i | −0.409524 | − | 0.329154i | ||||
\(373\) | 6.17233 | − | 12.5163i | 0.319591 | − | 0.648067i | −0.676496 | − | 0.736447i | \(-0.736502\pi\) |
0.996087 | + | 0.0883796i | \(0.0281689\pi\) | |||||||
\(374\) | 1.04885 | − | 4.38299i | 0.0542348 | − | 0.226639i | ||||
\(375\) | −16.5631 | + | 6.64999i | −0.855313 | + | 0.343404i | ||||
\(376\) | −18.9382 | + | 2.78861i | −0.976665 | + | 0.143812i | ||||
\(377\) | −2.75179 | + | 6.64341i | −0.141724 | + | 0.342153i | ||||
\(378\) | −10.0465 | − | 7.80195i | −0.516739 | − | 0.401289i | ||||
\(379\) | 30.8406 | + | 6.13457i | 1.58417 | + | 0.315112i | 0.907136 | − | 0.420838i | \(-0.138264\pi\) |
0.677037 | + | 0.735949i | \(0.263264\pi\) | |||||||
\(380\) | 1.16412 | − | 15.0752i | 0.0597183 | − | 0.773341i | ||||
\(381\) | −12.7016 | + | 18.5677i | −0.650722 | + | 0.951253i | ||||
\(382\) | 0.740164 | − | 19.1985i | 0.0378701 | − | 0.982282i | ||||
\(383\) | −1.36953 | − | 2.37210i | −0.0699799 | − | 0.121209i | 0.828912 | − | 0.559379i | \(-0.188960\pi\) |
−0.898892 | + | 0.438170i | \(0.855627\pi\) | |||||||
\(384\) | −6.64743 | + | 18.4340i | −0.339225 | + | 0.940705i | ||||
\(385\) | −1.14773 | + | 1.98792i | −0.0584935 | + | 0.101314i | ||||
\(386\) | −23.7805 | − | 14.9799i | −1.21040 | − | 0.762459i | ||||
\(387\) | 31.3274 | − | 14.6085i | 1.59246 | − | 0.742592i | ||||
\(388\) | 24.4520 | − | 11.7072i | 1.24136 | − | 0.594343i | ||||
\(389\) | −23.7647 | + | 27.0985i | −1.20492 | + | 1.37395i | −0.296961 | + | 0.954890i | \(0.595973\pi\) |
−0.907959 | + | 0.419058i | \(0.862360\pi\) | |||||||
\(390\) | −29.3071 | − | 21.7516i | −1.48402 | − | 1.10144i | ||||
\(391\) | 15.3774 | − | 2.02447i | 0.777669 | − | 0.102382i | ||||
\(392\) | −10.5271 | − | 4.17296i | −0.531697 | − | 0.210766i | ||||
\(393\) | −3.30142 | − | 2.59095i | −0.166535 | − | 0.130696i | ||||
\(394\) | −0.709665 | + | 0.210780i | −0.0357524 | + | 0.0106190i | ||||
\(395\) | −12.5093 | − | 18.7215i | −0.629413 | − | 0.941983i | ||||
\(396\) | 3.29525 | + | 0.546427i | 0.165593 | + | 0.0274590i | ||||
\(397\) | 17.7280 | − | 3.52632i | 0.889744 | − | 0.176981i | 0.271005 | − | 0.962578i | \(-0.412644\pi\) |
0.618739 | + | 0.785597i | \(0.287644\pi\) | |||||||
\(398\) | −1.46681 | − | 15.8353i | −0.0735247 | − | 0.793753i | ||||
\(399\) | 2.36246 | + | 9.21772i | 0.118271 | + | 0.461463i | ||||
\(400\) | 2.30273 | + | 1.40181i | 0.115136 | + | 0.0700904i | ||||
\(401\) | −24.2976 | − | 6.51052i | −1.21336 | − | 0.325120i | −0.405282 | − | 0.914192i | \(-0.632827\pi\) |
−0.808081 | + | 0.589072i | \(0.799493\pi\) | |||||||
\(402\) | 9.37691 | + | 1.70959i | 0.467678 | + | 0.0852666i | ||||
\(403\) | 17.3274 | + | 5.88188i | 0.863142 | + | 0.292997i | ||||
\(404\) | −24.2833 | + | 6.20524i | −1.20814 | + | 0.308722i | ||||
\(405\) | 18.7955 | + | 10.3112i | 0.933955 | + | 0.512367i | ||||
\(406\) | 0.0757359 | + | 2.81314i | 0.00375871 | + | 0.139614i | ||||
\(407\) | −0.578402 | + | 4.39340i | −0.0286703 | + | 0.217773i | ||||
\(408\) | 27.9747 | − | 1.95701i | 1.38495 | − | 0.0968863i | ||||
\(409\) | 3.95411 | + | 30.0345i | 0.195518 | + | 1.48511i | 0.754703 | + | 0.656066i | \(0.227781\pi\) |
−0.559185 | + | 0.829043i | \(0.688886\pi\) | |||||||
\(410\) | −4.29249 | − | 26.9732i | −0.211991 | − | 1.33211i | ||||
\(411\) | 4.60451 | − | 5.13636i | 0.227124 | − | 0.253358i | ||||
\(412\) | 16.7610 | + | 8.50909i | 0.825753 | + | 0.419213i | ||||
\(413\) | −8.31959 | + | 12.4512i | −0.409380 | + | 0.612681i | ||||
\(414\) | 2.30022 | + | 11.2631i | 0.113050 | + | 0.553551i | ||||
\(415\) | − | 32.8338i | − | 1.61175i | ||||||
\(416\) | −0.130179 | − | 35.3844i | −0.00638256 | − | 1.73486i | ||||
\(417\) | 6.38217 | + | 11.3380i | 0.312536 | + | 0.555224i | ||||
\(418\) | −1.69750 | − | 1.83364i | −0.0830276 | − | 0.0896863i | ||||
\(419\) | 35.9109 | + | 2.35373i | 1.75436 | + | 0.114987i | 0.908360 | − | 0.418189i | \(-0.137335\pi\) |
0.846004 | + | 0.533177i | \(0.179002\pi\) | |||||||
\(420\) | −13.9426 | − | 3.10134i | −0.680330 | − | 0.151330i | ||||
\(421\) | 9.52126 | + | 8.34992i | 0.464038 | + | 0.406950i | 0.859183 | − | 0.511669i | \(-0.170972\pi\) |
−0.395145 | + | 0.918619i | \(0.629306\pi\) | |||||||
\(422\) | −7.81918 | + | 20.4146i | −0.380632 | + | 0.993765i | ||||
\(423\) | −16.3737 | + | 12.0059i | −0.796115 | + | 0.583745i | ||||
\(424\) | −13.3232 | + | 6.82558i | −0.647030 | + | 0.331479i | ||||
\(425\) | 0.503563 | − | 3.82494i | 0.0244264 | − | 0.185537i | ||||
\(426\) | 9.95305 | + | 5.53584i | 0.482227 | + | 0.268213i | ||||
\(427\) | −11.4137 | − | 5.62862i | −0.552348 | − | 0.272388i | ||||
\(428\) | −0.226721 | + | 19.5131i | −0.0109590 | + | 0.943202i | ||||
\(429\) | −5.92812 | + | 1.11212i | −0.286212 | + | 0.0536936i | ||||
\(430\) | 24.7972 | − | 29.8600i | 1.19583 | − | 1.43998i | ||||
\(431\) | −22.6605 | + | 22.6605i | −1.09152 | + | 1.09152i | −0.0961502 | + | 0.995367i | \(0.530653\pi\) |
−0.995367 | + | 0.0961502i | \(0.969347\pi\) | |||||||
\(432\) | 2.90856 | + | 20.5801i | 0.139938 | + | 0.990160i | ||||
\(433\) | −21.8872 | − | 21.8872i | −1.05183 | − | 1.05183i | −0.998581 | − | 0.0532502i | \(-0.983042\pi\) |
−0.0532502 | − | 0.998581i | \(-0.516958\pi\) | |||||||
\(434\) | 7.13072 | − | 0.660513i | 0.342286 | − | 0.0317056i | ||||
\(435\) | −0.874505 | − | 4.66153i | −0.0419293 | − | 0.223503i | ||||
\(436\) | −8.77834 | − | 3.75618i | −0.420406 | − | 0.179888i | ||||
\(437\) | 3.80348 | − | 7.71270i | 0.181945 | − | 0.368948i | ||||
\(438\) | −36.5573 | + | 10.4256i | −1.74678 | + | 0.498155i | ||||
\(439\) | −3.42925 | − | 0.451470i | −0.163669 | − | 0.0215475i | 0.0482461 | − | 0.998835i | \(-0.484637\pi\) |
−0.211915 | + | 0.977288i | \(0.567970\pi\) | |||||||
\(440\) | 3.60765 | − | 1.02607i | 0.171988 | − | 0.0489158i | ||||
\(441\) | −11.9395 | + | 1.30768i | −0.568548 | + | 0.0622704i | ||||
\(442\) | −46.2448 | + | 20.6303i | −2.19964 | + | 0.981282i | ||||
\(443\) | −11.2457 | + | 12.8233i | −0.534300 | + | 0.609253i | −0.954512 | − | 0.298174i | \(-0.903623\pi\) |
0.420211 | + | 0.907426i | \(0.361956\pi\) | |||||||
\(444\) | −27.1582 | + | 4.76894i | −1.28887 | + | 0.226324i | ||||
\(445\) | −0.314953 | + | 4.80526i | −0.0149302 | + | 0.227791i | ||||
\(446\) | −20.9211 | − | 0.806577i | −0.990644 | − | 0.0381925i | ||||
\(447\) | 16.4954 | − | 9.28526i | 0.780204 | − | 0.439178i | ||||
\(448\) | −5.68829 | − | 12.6258i | −0.268746 | − | 0.596513i | ||||
\(449\) | 27.3990 | 1.29304 | 0.646521 | − | 0.762897i | \(-0.276223\pi\) | ||||
0.646521 | + | 0.762897i | \(0.276223\pi\) | |||||||
\(450\) | 2.85418 | + | 0.172440i | 0.134547 | + | 0.00812889i | ||||
\(451\) | −3.75301 | − | 2.50768i | −0.176722 | − | 0.118082i | ||||
\(452\) | −4.11243 | − | 4.80072i | −0.193433 | − | 0.225807i | ||||
\(453\) | 15.6004 | + | 13.9850i | 0.732970 | + | 0.657074i | ||||
\(454\) | −7.93305 | − | 5.75478i | −0.372316 | − | 0.270085i | ||||
\(455\) | 25.5711 | − | 3.36650i | 1.19879 | − | 0.157824i | ||||
\(456\) | 7.71498 | − | 13.4993i | 0.361287 | − | 0.632165i | ||||
\(457\) | 9.50296 | + | 1.25109i | 0.444530 | + | 0.0585234i | 0.349469 | − | 0.936948i | \(-0.386362\pi\) |
0.0950608 | + | 0.995471i | \(0.469695\pi\) | |||||||
\(458\) | −5.82866 | + | 6.15119i | −0.272356 | + | 0.287426i | ||||
\(459\) | 25.2586 | − | 15.7072i | 1.17897 | − | 0.733150i | ||||
\(460\) | 7.73855 | + | 10.3314i | 0.360812 | + | 0.481705i | ||||
\(461\) | 9.32268 | − | 27.4637i | 0.434201 | − | 1.27911i | −0.481215 | − | 0.876603i | \(-0.659804\pi\) |
0.915415 | − | 0.402511i | \(-0.131862\pi\) | |||||||
\(462\) | −1.94142 | + | 1.34267i | −0.0903230 | + | 0.0624665i | ||||
\(463\) | 6.82162 | − | 25.4586i | 0.317027 | − | 1.18316i | −0.605060 | − | 0.796180i | \(-0.706851\pi\) |
0.922087 | − | 0.386982i | \(-0.126483\pi\) | |||||||
\(464\) | 3.11137 | − | 3.38579i | 0.144442 | − | 0.157182i | ||||
\(465\) | −11.6914 | + | 2.99644i | −0.542175 | + | 0.138957i | ||||
\(466\) | −17.0688 | + | 20.5537i | −0.790696 | + | 0.952133i | ||||
\(467\) | 3.08217 | + | 15.4951i | 0.142626 | + | 0.717029i | 0.984224 | + | 0.176925i | \(0.0566151\pi\) |
−0.841598 | + | 0.540104i | \(0.818385\pi\) | |||||||
\(468\) | −17.6688 | − | 33.1119i | −0.816739 | − | 1.53060i | ||||
\(469\) | −5.60052 | + | 3.74215i | −0.258608 | + | 0.172796i | ||||
\(470\) | −10.8639 | + | 20.0439i | −0.501113 | + | 0.924557i | ||||
\(471\) | 7.76229 | − | 9.89080i | 0.357667 | − | 0.455744i | ||||
\(472\) | 23.9227 | − | 5.14015i | 1.10113 | − | 0.236595i | ||||
\(473\) | −0.837248 | − | 6.35953i | −0.0384967 | − | 0.292412i | ||||
\(474\) | −3.38936 | − | 22.9047i | −0.155679 | − | 1.05205i | ||||
\(475\) | −1.60821 | − | 1.41036i | −0.0737896 | − | 0.0647117i | ||||
\(476\) | −13.2387 | + | 14.7467i | −0.606797 | + | 0.675914i | ||||
\(477\) | −9.10708 | + | 13.0065i | −0.416985 | + | 0.595525i | ||||
\(478\) | 33.1075 | − | 7.51708i | 1.51430 | − | 0.343823i | ||||
\(479\) | 29.2854 | + | 16.9079i | 1.33809 | + | 0.772544i | 0.986523 | − | 0.163621i | \(-0.0523174\pi\) |
0.351562 | + | 0.936165i | \(0.385651\pi\) | |||||||
\(480\) | 12.8258 | + | 19.4987i | 0.585415 | + | 0.889990i | ||||
\(481\) | 43.1196 | − | 24.8951i | 1.96609 | − | 1.13512i | ||||
\(482\) | −0.464297 | + | 0.429826i | −0.0211482 | + | 0.0195780i | ||||
\(483\) | −6.70498 | − | 4.58666i | −0.305087 | − | 0.208700i | ||||
\(484\) | −9.67834 | + | 19.0641i | −0.439925 | + | 0.866551i | ||||
\(485\) | 6.29912 | − | 31.6678i | 0.286028 | − | 1.43796i | ||||
\(486\) | 12.9325 | + | 17.8536i | 0.586630 | + | 0.809855i | ||||
\(487\) | −13.0389 | − | 5.40088i | −0.590848 | − | 0.244737i | 0.0671673 | − | 0.997742i | \(-0.478604\pi\) |
−0.658015 | + | 0.753004i | \(0.728604\pi\) | |||||||
\(488\) | 6.98452 | + | 19.5862i | 0.316174 | + | 0.886624i | ||||
\(489\) | 11.9227 | + | 29.6958i | 0.539163 | + | 1.34289i | ||||
\(490\) | −11.4943 | + | 7.05536i | −0.519260 | + | 0.318729i | ||||
\(491\) | 6.06287 | + | 2.98988i | 0.273613 | + | 0.134931i | 0.573920 | − | 0.818912i | \(-0.305422\pi\) |
−0.300306 | + | 0.953843i | \(0.597089\pi\) | |||||||
\(492\) | 7.87843 | − | 26.9588i | 0.355187 | − | 1.21540i | ||||
\(493\) | −6.23122 | − | 2.11522i | −0.280640 | − | 0.0952645i | ||||
\(494\) | −4.73430 | + | 27.6740i | −0.213006 | + | 1.24511i | ||||
\(495\) | 2.87372 | − | 2.75103i | 0.129164 | − | 0.123650i | ||||
\(496\) | −9.11531 | − | 7.33711i | −0.409289 | − | 0.329446i | ||||
\(497\) | −7.77410 | + | 2.08306i | −0.348716 | + | 0.0934381i | ||||
\(498\) | 14.4467 | − | 30.5172i | 0.647370 | − | 1.36751i | ||||
\(499\) | −7.96612 | − | 9.08362i | −0.356612 | − | 0.406639i | 0.545520 | − | 0.838098i | \(-0.316332\pi\) |
−0.902132 | + | 0.431459i | \(0.857999\pi\) | |||||||
\(500\) | −19.1309 | + | 7.66509i | −0.855558 | + | 0.342793i | ||||
\(501\) | −6.98484 | − | 3.53975i | −0.312060 | − | 0.158144i | ||||
\(502\) | −11.1546 | + | 3.31306i | −0.497852 | + | 0.147869i | ||||
\(503\) | 16.0329 | + | 38.7069i | 0.714873 | + | 1.72585i | 0.687451 | + | 0.726231i | \(0.258730\pi\) |
0.0274218 | + | 0.999624i | \(0.491270\pi\) | |||||||
\(504\) | −11.5943 | − | 9.01719i | −0.516452 | − | 0.401658i | ||||
\(505\) | −11.4234 | + | 27.5786i | −0.508336 | + | 1.22723i | ||||
\(506\) | 2.12171 | + | 0.221422i | 0.0943213 | + | 0.00984341i | ||||
\(507\) | 33.6962 | + | 30.2072i | 1.49650 | + | 1.34155i | ||||
\(508\) | −14.6818 | + | 21.4297i | −0.651401 | + | 0.950788i | ||||
\(509\) | 1.28475 | − | 19.6016i | 0.0569457 | − | 0.868824i | −0.869864 | − | 0.493292i | \(-0.835793\pi\) |
0.926810 | − | 0.375532i | \(-0.122540\pi\) | |||||||
\(510\) | 18.1087 | − | 28.0641i | 0.801867 | − | 1.24270i | ||||
\(511\) | 13.4321 | − | 23.2651i | 0.594202 | − | 1.02919i | ||||
\(512\) | −7.69098 | + | 21.2802i | −0.339897 | + | 0.940463i | ||||
\(513\) | 0.539406 | − | 16.4828i | 0.0238154 | − | 0.727732i | ||||
\(514\) | −19.8385 | − | 12.4967i | −0.875037 | − | 0.551207i | ||||
\(515\) | 20.0788 | − | 9.90175i | 0.884776 | − | 0.436323i | ||||
\(516\) | 36.1858 | − | 16.8426i | 1.59299 | − | 0.741455i | ||||
\(517\) | 1.21110 | + | 3.56778i | 0.0532640 | + | 0.156911i | ||||
\(518\) | 11.4418 | − | 15.7727i | 0.502725 | − | 0.693013i | ||||
\(519\) | 22.8397 | − | 17.1331i | 1.00255 | − | 0.752060i | ||||
\(520\) | −33.8230 | − | 25.1408i | −1.48324 | − | 1.10250i | ||||
\(521\) | 12.5535 | + | 30.3068i | 0.549979 | + | 1.32777i | 0.917495 | + | 0.397748i | \(0.130208\pi\) |
−0.367516 | + | 0.930017i | \(0.619792\pi\) | |||||||
\(522\) | 1.23824 | − | 4.71741i | 0.0541964 | − | 0.206476i | ||||
\(523\) | −3.85072 | − | 5.76301i | −0.168380 | − | 0.251999i | 0.737677 | − | 0.675154i | \(-0.235923\pi\) |
−0.906057 | + | 0.423155i | \(0.860923\pi\) | |||||||
\(524\) | −3.81002 | − | 2.99449i | −0.166441 | − | 0.130815i | ||||
\(525\) | −1.53365 | + | 1.31567i | −0.0669341 | + | 0.0574206i | ||||
\(526\) | 20.0387 | + | 9.22007i | 0.873727 | + | 0.402014i | ||||
\(527\) | −4.33404 | + | 16.1748i | −0.188794 | + | 0.704587i | ||||
\(528\) | 3.80458 | + | 0.633675i | 0.165573 | + | 0.0275772i | ||||
\(529\) | −4.05270 | − | 15.1249i | −0.176204 | − | 0.657603i | ||||
\(530\) | −3.00642 | + | 17.5738i | −0.130591 | + | 0.763357i | ||||
\(531\) | 19.8810 | − | 16.6824i | 0.862762 | − | 0.723955i | ||||
\(532\) | 2.72033 | + | 10.6457i | 0.117941 | + | 0.461548i | ||||
\(533\) | 3.31699 | + | 50.6075i | 0.143675 | + | 2.19205i | ||||
\(534\) | −2.40702 | + | 4.32764i | −0.104162 | + | 0.187275i | ||||
\(535\) | 18.4389 | + | 14.1487i | 0.797184 | + | 0.611701i | ||||
\(536\) | 10.8261 | + | 1.98179i | 0.467617 | + | 0.0856004i | ||||
\(537\) | −6.54848 | + | 15.3343i | −0.282588 | + | 0.661724i | ||||
\(538\) | 5.66306 | − | 4.59276i | 0.244152 | − | 0.198008i | ||||
\(539\) | −0.434828 | + | 2.18603i | −0.0187294 | + | 0.0941590i | ||||
\(540\) | 21.6947 | + | 11.9218i | 0.933589 | + | 0.513034i | ||||
\(541\) | 6.71295 | − | 10.0466i | 0.288612 | − | 0.431939i | −0.658625 | − | 0.752471i | \(-0.728862\pi\) |
0.947238 | + | 0.320532i | \(0.103862\pi\) | |||||||
\(542\) | 0.120047 | + | 0.0371787i | 0.00515645 | + | 0.00159696i | ||||
\(543\) | 5.23995 | + | 0.0571418i | 0.224868 | + | 0.00245219i | ||||
\(544\) | 32.3040 | − | 2.23670i | 1.38502 | − | 0.0958978i | ||||
\(545\) | −9.84840 | + | 5.68597i | −0.421859 | + | 0.243560i | ||||
\(546\) | 25.2481 | + | 8.12215i | 1.08052 | + | 0.347596i | ||||
\(547\) | 7.81531 | + | 15.8479i | 0.334159 | + | 0.677607i | 0.997497 | − | 0.0707131i | \(-0.0225275\pi\) |
−0.663338 | + | 0.748320i | \(0.730861\pi\) | |||||||
\(548\) | 5.32106 | − | 5.92716i | 0.227305 | − | 0.253196i | ||||
\(549\) | 16.2612 | + | 14.9005i | 0.694013 | + | 0.635936i | ||||
\(550\) | 0.189790 | − | 0.495510i | 0.00809269 | − | 0.0211286i | ||||
\(551\) | −2.89456 | + | 2.22108i | −0.123313 | + | 0.0946210i | ||||
\(552\) | 2.64679 | + | 13.0074i | 0.112655 | + | 0.553632i | ||||
\(553\) | 12.9812 | + | 9.96085i | 0.552018 | + | 0.423578i | ||||
\(554\) | −19.4562 | − | 31.6972i | −0.826614 | − | 1.34669i | ||||
\(555\) | −14.8452 | + | 29.2935i | −0.630146 | + | 1.24344i | ||||
\(556\) | 7.36015 | + | 13.0972i | 0.312140 | + | 0.555447i | ||||
\(557\) | 1.85741 | + | 9.33784i | 0.0787011 | + | 0.395657i | 0.999977 | + | 0.00674798i | \(0.00214797\pi\) |
−0.921276 | + | 0.388909i | \(0.872852\pi\) | |||||||
\(558\) | −12.1849 | − | 2.35911i | −0.515828 | − | 0.0998690i | ||||
\(559\) | −50.9629 | + | 50.9629i | −2.15550 | + | 2.15550i | ||||
\(560\) | −16.0970 | − | 3.59261i | −0.680222 | − | 0.151815i | ||||
\(561\) | −1.37036 | − | 5.34679i | −0.0578565 | − | 0.225742i | ||||
\(562\) | 4.63359 | − | 10.0705i | 0.195456 | − | 0.424799i | ||||
\(563\) | 6.84387 | + | 7.80394i | 0.288435 | + | 0.328897i | 0.877852 | − | 0.478932i | \(-0.158976\pi\) |
−0.589417 | + | 0.807829i | \(0.700643\pi\) | |||||||
\(564\) | −18.9166 | + | 13.8497i | −0.796531 | + | 0.583176i | ||||
\(565\) | −7.51259 | + | 0.492401i | −0.316057 | + | 0.0207155i | ||||
\(566\) | 22.9956 | − | 24.2681i | 0.966579 | − | 1.02006i | ||||
\(567\) | −15.3424 | − | 2.70504i | −0.644319 | − | 0.113601i | ||||
\(568\) | 11.4882 | + | 6.40044i | 0.482035 | + | 0.268557i | ||||
\(569\) | 14.2004 | + | 18.5063i | 0.595310 | + | 0.775823i | 0.989706 | − | 0.143118i | \(-0.0457128\pi\) |
−0.394396 | + | 0.918941i | \(0.629046\pi\) | |||||||
\(570\) | −7.35963 | − | 16.9930i | −0.308261 | − | 0.711757i | ||||
\(571\) | −6.28615 | − | 18.5184i | −0.263067 | − | 0.774970i | −0.995554 | − | 0.0941897i | \(-0.969974\pi\) |
0.732487 | − | 0.680781i | \(-0.238359\pi\) | |||||||
\(572\) | −6.84612 | + | 1.27928i | −0.286251 | + | 0.0534893i | ||||
\(573\) | −10.1766 | − | 21.2163i | −0.425135 | − | 0.886325i | ||||
\(574\) | 9.25446 | + | 17.5585i | 0.386274 | + | 0.732876i | ||||
\(575\) | 1.82613 | 0.0761548 | ||||||||
\(576\) | 3.34155 | + | 23.7662i | 0.139231 | + | 0.990260i | ||||
\(577\) | 7.60665 | 0.316669 | 0.158334 | − | 0.987386i | \(-0.449388\pi\) | ||||
0.158334 | + | 0.987386i | \(0.449388\pi\) | |||||||
\(578\) | −10.3969 | − | 19.7260i | −0.432453 | − | 0.820493i | ||||
\(579\) | −34.3216 | − | 2.62571i | −1.42636 | − | 0.109121i | ||||
\(580\) | −1.00595 | − | 5.38339i | −0.0417698 | − | 0.223533i | ||||
\(581\) | 7.66962 | + | 22.5940i | 0.318189 | + | 0.937356i | ||||
\(582\) | 19.7883 | − | 26.6619i | 0.820253 | − | 1.10517i | ||||
\(583\) | 1.79368 | + | 2.33757i | 0.0742868 | + | 0.0968124i | ||||
\(584\) | −42.2213 | + | 12.0083i | −1.74713 | + | 0.496908i | ||||
\(585\) | −44.1795 | − | 6.79954i | −1.82660 | − | 0.281126i | ||||
\(586\) | −11.7676 | + | 12.4188i | −0.486115 | + | 0.513014i | ||||
\(587\) | −33.2547 | + | 2.17963i | −1.37257 | + | 0.0899629i | −0.733763 | − | 0.679406i | \(-0.762238\pi\) |
−0.638805 | + | 0.769368i | \(0.720571\pi\) | |||||||
\(588\) | −13.7876 | + | 1.50014i | −0.568593 | + | 0.0618646i | ||||
\(589\) | 6.12168 | + | 6.98044i | 0.252239 | + | 0.287624i | ||||
\(590\) | 12.1812 | − | 26.4744i | 0.501494 | − | 1.08993i | ||||
\(591\) | −0.648077 | + | 0.634095i | −0.0266583 | + | 0.0260832i | ||||
\(592\) | −31.3635 | + | 5.48432i | −1.28903 | + | 0.225404i | ||||
\(593\) | 5.93396 | − | 5.93396i | 0.243678 | − | 0.243678i | −0.574692 | − | 0.818370i | \(-0.694878\pi\) |
0.818370 | + | 0.574692i | \(0.194878\pi\) | |||||||
\(594\) | 3.88140 | − | 1.29251i | 0.159256 | − | 0.0530323i | ||||
\(595\) | 4.60464 | + | 23.1491i | 0.188772 | + | 0.949021i | ||||
\(596\) | 19.0548 | − | 10.7081i | 0.780517 | − | 0.438621i | ||||
\(597\) | −10.6437 | − | 16.3118i | −0.435620 | − | 0.667597i | ||||
\(598\) | −12.5388 | − | 20.4277i | −0.512750 | − | 0.835351i | ||||
\(599\) | 17.0913 | + | 13.1146i | 0.698331 | + | 0.535848i | 0.895798 | − | 0.444461i | \(-0.146605\pi\) |
−0.197467 | + | 0.980310i | \(0.563272\pi\) | |||||||
\(600\) | 3.29558 | + | 0.201469i | 0.134541 | + | 0.00822493i | ||||
\(601\) | 12.6143 | − | 9.67927i | 0.514547 | − | 0.394826i | −0.318590 | − | 0.947893i | \(-0.603209\pi\) |
0.833137 | + | 0.553067i | \(0.186543\pi\) | |||||||
\(602\) | −10.0887 | + | 26.3400i | −0.411187 | + | 1.07354i | ||||
\(603\) | 11.1333 | − | 3.51041i | 0.453384 | − | 0.142955i | ||||
\(604\) | 18.0022 | + | 16.1614i | 0.732501 | + | 0.657597i | ||||
\(605\) | 11.2624 | + | 22.8378i | 0.457881 | + | 0.928490i | ||||
\(606\) | −22.7519 | + | 20.6066i | −0.924232 | + | 0.837084i | ||||
\(607\) | −16.6065 | + | 9.58776i | −0.674036 | + | 0.389155i | −0.797604 | − | 0.603181i | \(-0.793900\pi\) |
0.123568 | + | 0.992336i | \(0.460566\pi\) | |||||||
\(608\) | 8.91962 | − | 15.5813i | 0.361738 | − | 0.631907i | ||||
\(609\) | 1.69066 | + | 3.00348i | 0.0685090 | + | 0.121707i | ||||
\(610\) | 23.6575 | + | 7.32676i | 0.957863 | + | 0.296652i | ||||
\(611\) | 23.5197 | − | 35.1997i | 0.951504 | − | 1.42403i | ||||
\(612\) | 29.1791 | − | 18.1163i | 1.17949 | − | 0.732308i | ||||
\(613\) | −8.72091 | + | 43.8430i | −0.352234 | + | 1.77080i | 0.245790 | + | 0.969323i | \(0.420953\pi\) |
−0.598024 | + | 0.801478i | \(0.704047\pi\) | |||||||
\(614\) | −33.9820 | + | 27.5595i | −1.37140 | + | 1.11221i | ||||
\(615\) | −20.0731 | − | 26.7590i | −0.809425 | − | 1.07903i | ||||
\(616\) | −2.24286 | + | 1.54878i | −0.0903676 | + | 0.0624021i | ||||
\(617\) | 2.70948 | + | 2.07906i | 0.109080 | + | 0.0836998i | 0.661861 | − | 0.749627i | \(-0.269767\pi\) |
−0.552781 | + | 0.833326i | \(0.686434\pi\) | |||||||
\(618\) | 23.0188 | − | 0.368589i | 0.925953 | − | 0.0148268i | ||||
\(619\) | 0.835080 | + | 12.7409i | 0.0335647 | + | 0.512098i | 0.981231 | + | 0.192836i | \(0.0617685\pi\) |
−0.947666 | + | 0.319263i | \(0.896565\pi\) | |||||||
\(620\) | −13.5025 | + | 3.45036i | −0.542274 | + | 0.138570i | ||||
\(621\) | 8.93185 | + | 10.8832i | 0.358423 | + | 0.436729i | ||||
\(622\) | 3.86233 | − | 22.5770i | 0.154865 | − | 0.905254i | ||||
\(623\) | −0.905728 | − | 3.38022i | −0.0362872 | − | 0.135426i | ||||
\(624\) | −20.3748 | − | 38.2489i | −0.815647 | − | 1.53118i | ||||
\(625\) | −7.22509 | + | 26.9644i | −0.289003 | + | 1.07858i | ||||
\(626\) | −21.4354 | − | 9.86273i | −0.856731 | − | 0.394194i | ||||
\(627\) | −2.88702 | − | 1.01525i | −0.115297 | − | 0.0405453i | ||||
\(628\) | 8.97127 | − | 11.4145i | 0.357992 | − | 0.455488i | ||||
\(629\) | 25.3141 | + | 37.8853i | 1.00934 | + | 1.51059i | ||||
\(630\) | −16.8741 | + | 4.61388i | −0.672280 | + | 0.183821i | ||||
\(631\) | −10.3752 | − | 25.0479i | −0.413029 | − | 0.997141i | −0.984320 | − | 0.176393i | \(-0.943557\pi\) |
0.571290 | − | 0.820748i | \(-0.306443\pi\) | |||||||
\(632\) | −3.89482 | − | 26.4508i | −0.154928 | − | 1.05216i | ||||
\(633\) | 3.20503 | + | 26.5813i | 0.127388 | + | 1.05651i | ||||
\(634\) | −16.3059 | + | 22.4779i | −0.647591 | + | 0.892713i | ||||
\(635\) | 9.94480 | + | 29.2964i | 0.394647 | + | 1.16259i | ||||
\(636\) | −10.5267 | + | 15.0111i | −0.417410 | + | 0.595228i | ||||
\(637\) | 22.4608 | − | 11.0764i | 0.889930 | − | 0.438865i | ||||
\(638\) | −0.765791 | − | 0.482391i | −0.0303180 | − | 0.0190980i | ||||
\(639\) | 13.9453 | + | 0.304183i | 0.551666 | + | 0.0120333i | ||||
\(640\) | 14.7939 | + | 22.5257i | 0.584780 | + | 0.890407i | ||||
\(641\) | 13.6857 | − | 23.7044i | 0.540553 | − | 0.936266i | −0.458319 | − | 0.888788i | \(-0.651548\pi\) |
0.998872 | − | 0.0474779i | \(-0.0151184\pi\) | |||||||
\(642\) | 10.9126 | + | 21.2634i | 0.430687 | + | 0.839201i | ||||
\(643\) | −0.983277 | + | 15.0019i | −0.0387767 | + | 0.591617i | 0.933617 | + | 0.358272i | \(0.116634\pi\) |
−0.972394 | + | 0.233345i | \(0.925033\pi\) | |||||||
\(644\) | −7.73846 | − | 5.30174i | −0.304938 | − | 0.208918i | ||||
\(645\) | 9.78189 | − | 46.5198i | 0.385161 | − | 1.83172i | ||||
\(646\) | −25.5543 | − | 2.66685i | −1.00542 | − | 0.104926i | ||||
\(647\) | 16.4307 | − | 39.6673i | 0.645959 | − | 1.55948i | −0.172557 | − | 0.985000i | \(-0.555203\pi\) |
0.818516 | − | 0.574484i | \(-0.194797\pi\) | |||||||
\(648\) | 14.9184 | + | 20.6262i | 0.586052 | + | 0.810274i | ||||
\(649\) | −1.84303 | − | 4.44948i | −0.0723454 | − | 0.174657i | ||||
\(650\) | −5.71522 | + | 1.69750i | −0.224170 | + | 0.0665815i | ||||
\(651\) | 7.34528 | − | 4.79293i | 0.287884 | − | 0.187850i | ||||
\(652\) | 13.7427 | + | 34.2996i | 0.538205 | + | 1.34327i | ||||
\(653\) | 24.0220 | + | 27.3918i | 0.940053 | + | 1.07193i | 0.997290 | + | 0.0735646i | \(0.0234375\pi\) |
−0.0572373 | + | 0.998361i | \(0.518229\pi\) | |||||||
\(654\) | −11.6553 | + | 0.951561i | −0.455760 | + | 0.0372090i | ||||
\(655\) | −5.57489 | + | 1.49379i | −0.217829 | + | 0.0583670i | ||||
\(656\) | 9.11945 | − | 31.1228i | 0.356055 | − | 1.21514i | ||||
\(657\) | −33.6319 | + | 32.1961i | −1.31211 | + | 1.25609i | ||||
\(658\) | 2.79373 | − | 16.3305i | 0.108911 | − | 0.636631i | ||||
\(659\) | −12.1319 | − | 4.11823i | −0.472593 | − | 0.160424i | 0.0749743 | − | 0.997185i | \(-0.476113\pi\) |
−0.547567 | + | 0.836762i | \(0.684446\pi\) | |||||||
\(660\) | 3.32056 | − | 3.17425i | 0.129252 | − | 0.123557i | ||||
\(661\) | 21.1540 | + | 10.4320i | 0.822794 | + | 0.405757i | 0.804410 | − | 0.594074i | \(-0.202481\pi\) |
0.0183835 | + | 0.999831i | \(0.494148\pi\) | |||||||
\(662\) | −14.6927 | + | 9.01857i | −0.571048 | + | 0.350517i | ||||
\(663\) | −38.2887 | + | 48.7879i | −1.48701 | + | 1.89476i | ||||
\(664\) | 16.7067 | − | 35.2263i | 0.648346 | − | 1.36704i | ||||
\(665\) | 12.0903 | + | 5.00796i | 0.468841 | + | 0.194200i | ||||
\(666\) | −26.6868 | + | 20.6949i | −1.03409 | + | 0.801910i | ||||
\(667\) | 0.607668 | − | 3.05495i | 0.0235290 | − | 0.118288i | ||||
\(668\) | −8.06248 | − | 4.09311i | −0.311947 | − | 0.158367i | ||||
\(669\) | −23.1200 | + | 11.0898i | −0.893871 | + | 0.428755i | ||||
\(670\) | 9.61910 | − | 8.90494i | 0.371618 | − | 0.344028i | ||||
\(671\) | 3.54451 | − | 2.04643i | 0.136834 | − | 0.0790014i | ||||
\(672\) | −13.3805 | − | 10.4217i | −0.516165 | − | 0.402026i | ||||
\(673\) | 18.4880 | + | 10.6740i | 0.712658 | + | 0.411453i | 0.812044 | − | 0.583596i | \(-0.198355\pi\) |
−0.0993863 | + | 0.995049i | \(0.531688\pi\) | |||||||
\(674\) | −4.66990 | + | 1.06030i | −0.179878 | + | 0.0408413i | ||||
\(675\) | 3.18984 | − | 1.44534i | 0.122777 | − | 0.0556312i | ||||
\(676\) | 38.8842 | + | 34.9080i | 1.49554 | + | 1.34261i | ||||
\(677\) | 24.0952 | + | 21.1309i | 0.926053 | + | 0.812127i | 0.982497 | − | 0.186279i | \(-0.0596429\pi\) |
−0.0564440 | + | 0.998406i | \(0.517976\pi\) | |||||||
\(678\) | −7.19919 | − | 2.84784i | −0.276483 | − | 0.109370i | ||||
\(679\) | 3.06264 | + | 23.2631i | 0.117533 | + | 0.892754i | ||||
\(680\) | 20.9333 | − | 32.3907i | 0.802754 | − | 1.24213i | ||||
\(681\) | −11.8827 | − | 1.69640i | −0.455346 | − | 0.0650063i | ||||
\(682\) | −1.09747 | + | 2.02484i | −0.0420243 | + | 0.0775352i | ||||
\(683\) | 0.779177 | − | 0.520630i | 0.0298144 | − | 0.0199213i | −0.540574 | − | 0.841297i | \(-0.681793\pi\) |
0.570388 | + | 0.821375i | \(0.306793\pi\) | |||||||
\(684\) | 0.636437 | − | 19.0322i | 0.0243348 | − | 0.727715i | ||||
\(685\) | −1.85075 | − | 9.30434i | −0.0707135 | − | 0.355501i | ||||
\(686\) | 17.2093 | − | 20.7229i | 0.657054 | − | 0.791205i | ||||
\(687\) | −2.79534 | + | 9.99508i | −0.106649 | + | 0.381336i | ||||
\(688\) | 41.7977 | − | 19.4184i | 1.59352 | − | 0.740318i | ||||
\(689\) | 8.56856 | − | 31.9783i | 0.326436 | − | 1.21828i | ||||
\(690\) | 14.2891 | + | 6.76439i | 0.543977 | + | 0.257516i | ||||
\(691\) | 10.6658 | − | 31.4203i | 0.405745 | − | 1.19529i | −0.531634 | − | 0.846974i | \(-0.678422\pi\) |
0.937379 | − | 0.348312i | \(-0.113245\pi\) | |||||||
\(692\) | 26.3872 | − | 19.7648i | 1.00309 | − | 0.751344i | ||||
\(693\) | −1.33489 | + | 2.56435i | −0.0507083 | + | 0.0974114i | ||||
\(694\) | −9.30387 | + | 9.81869i | −0.353170 | + | 0.372713i | ||||
\(695\) | 17.7401 | + | 2.33553i | 0.672921 | + | 0.0885918i | ||||
\(696\) | 1.43369 | − | 5.44618i | 0.0543438 | − | 0.206437i | ||||
\(697\) | −46.0144 | + | 6.05791i | −1.74292 | + | 0.229460i | ||||
\(698\) | −15.5914 | − | 11.3103i | −0.590142 | − | 0.428100i | ||||
\(699\) | −6.73323 | + | 32.0213i | −0.254674 | + | 1.21116i | ||||
\(700\) | −1.77199 | + | 1.51794i | −0.0669751 | + | 0.0573728i | ||||
\(701\) | −26.3339 | − | 17.5958i | −0.994619 | − | 0.664583i | −0.0520672 | − | 0.998644i | \(-0.516581\pi\) |
−0.942552 | + | 0.334061i | \(0.891581\pi\) | |||||||
\(702\) | −38.0706 | − | 25.7585i | −1.43688 | − | 0.972193i | ||||
\(703\) | 25.2630 | 0.952813 | ||||||||
\(704\) | 4.39262 | + | 0.734841i | 0.165553 | + | 0.0276953i | ||||
\(705\) | −0.304479 | + | 27.9210i | −0.0114673 | + | 1.05156i | ||||
\(706\) | −0.310131 | − | 0.0119565i | −0.0116719 | − | 0.000449990i | ||||
\(707\) | 1.41876 | − | 21.6461i | 0.0533581 | − | 0.814087i | ||||
\(708\) | 22.9704 | − | 19.2468i | 0.863279 | − | 0.723339i | ||||
\(709\) | 31.6534 | − | 36.0938i | 1.18877 | − | 1.35553i | 0.268966 | − | 0.963150i | \(-0.413318\pi\) |
0.919803 | − | 0.392381i | \(-0.128349\pi\) | |||||||
\(710\) | 14.3039 | − | 6.38113i | 0.536816 | − | 0.239480i | ||||
\(711\) | −16.7684 | − | 22.8689i | −0.628866 | − | 0.857651i | ||||
\(712\) | −2.78295 | + | 4.99514i | −0.104295 | + | 0.187201i | ||||
\(713\) | −7.85851 | − | 1.03459i | −0.294303 | − | 0.0387458i | ||||
\(714\) | −5.90571 | + | 23.5418i | −0.221016 | + | 0.881030i | ||||
\(715\) | −3.66874 | + | 7.43946i | −0.137203 | + | 0.278220i | ||||
\(716\) | −7.57417 | + | 17.7011i | −0.283060 | + | 0.661522i | ||||
\(717\) | 31.5588 | − | 27.0733i | 1.17859 | − | 1.01107i | ||||
\(718\) | −43.3709 | + | 4.01741i | −1.61859 | + | 0.149928i | ||||
\(719\) | −11.5346 | − | 11.5346i | −0.430169 | − | 0.430169i | 0.458517 | − | 0.888686i | \(-0.348381\pi\) |
−0.888686 | + | 0.458517i | \(0.848381\pi\) | |||||||
\(720\) | 25.0410 | + | 13.7840i | 0.933223 | + | 0.513700i | ||||
\(721\) | −11.5039 | + | 11.5039i | −0.428428 | + | 0.428428i | ||||
\(722\) | 8.06552 | − | 9.71226i | 0.300168 | − | 0.361453i | ||||
\(723\) | −0.257073 | + | 0.731024i | −0.00956064 | + | 0.0271871i | ||||
\(724\) | 6.05052 | + | 0.0703004i | 0.224866 | + | 0.00261269i | ||||
\(725\) | −0.694868 | − | 0.342671i | −0.0258068 | − | 0.0127265i | ||||
\(726\) | 0.419238 | + | 26.1819i | 0.0155594 | + | 0.971701i | ||||
\(727\) | −3.30209 | + | 25.0819i | −0.122468 | + | 0.930236i | 0.814339 | + | 0.580389i | \(0.197100\pi\) |
−0.936807 | + | 0.349847i | \(0.886234\pi\) | |||||||
\(728\) | 29.1473 | + | 9.39946i | 1.08027 | + | 0.348367i | ||||
\(729\) | 24.2158 | + | 11.9413i | 0.896883 | + | 0.442269i | ||||
\(730\) | −18.6996 | + | 48.8214i | −0.692102 | + | 1.80696i | ||||
\(731\) | −49.5877 | − | 43.4873i | −1.83407 | − | 1.60843i | ||||
\(732\) | 18.7646 | + | 17.2190i | 0.693559 | + | 0.636431i | ||||
\(733\) | 10.9137 | + | 0.715325i | 0.403108 | + | 0.0264211i | 0.265609 | − | 0.964081i | \(-0.414427\pi\) |
0.137499 | + | 0.990502i | \(0.456094\pi\) | |||||||
\(734\) | −22.8462 | − | 24.6784i | −0.843269 | − | 0.910898i | ||||
\(735\) | −8.41452 | + | 14.2141i | −0.310374 | + | 0.524296i | ||||
\(736\) | 3.04552 | + | 15.0218i | 0.112259 | + | 0.553712i | ||||
\(737\) | − | 2.16627i | − | 0.0797955i | ||||||
\(738\) | −6.88304 | − | 33.7030i | −0.253368 | − | 1.24062i | ||||
\(739\) | 10.2243 | − | 15.3017i | 0.376106 | − | 0.562882i | −0.594336 | − | 0.804217i | \(-0.702585\pi\) |
0.970442 | + | 0.241334i | \(0.0775851\pi\) | |||||||
\(740\) | −17.1660 | + | 33.8130i | −0.631033 | + | 1.24299i | ||||
\(741\) | 10.6973 | + | 32.6797i | 0.392975 | + | 1.20052i | ||||
\(742\) | −2.03624 | − | 12.7954i | −0.0747527 | − | 0.469733i | ||||
\(743\) | −3.70091 | − | 28.1112i | −0.135773 | − | 1.03130i | −0.914685 | − | 0.404167i | \(-0.867562\pi\) |
0.778912 | − | 0.627133i | \(-0.215772\pi\) | |||||||
\(744\) | −14.0680 | − | 2.73411i | −0.515757 | − | 0.100237i | ||||
\(745\) | 3.39791 | − | 25.8097i | 0.124490 | − | 0.945593i | ||||
\(746\) | −0.531144 | − | 19.7288i | −0.0194466 | − | 0.722324i | ||||
\(747\) | −1.80406 | − | 41.3128i | −0.0660073 | − | 1.51156i | ||||
\(748\) | −1.57794 | − | 6.17507i | −0.0576953 | − | 0.225783i | ||||
\(749\) | −15.9934 | − | 5.42903i | −0.584386 | − | 0.198372i | ||||
\(750\) | −16.3367 | + | 19.2413i | −0.596531 | + | 0.702594i | ||||
\(751\) | −32.3156 | − | 8.65895i | −1.17921 | − | 0.315970i | −0.384600 | − | 0.923083i | \(-0.625660\pi\) |
−0.794615 | + | 0.607114i | \(0.792327\pi\) | |||||||
\(752\) | −21.8544 | + | 15.9766i | −0.796947 | + | 0.582607i | ||||
\(753\) | −10.1865 | + | 9.96674i | −0.371217 | + | 0.363208i | ||||
\(754\) | 0.937958 | + | 10.1259i | 0.0341584 | + | 0.368765i | ||||
\(755\) | 28.2596 | − | 5.62118i | 1.02847 | − | 0.204576i | ||||
\(756\) | −17.7136 | − | 3.13615i | −0.644238 | − | 0.114061i | ||||
\(757\) | −20.3294 | − | 30.4250i | −0.738883 | − | 1.10582i | −0.990436 | − | 0.137973i | \(-0.955941\pi\) |
0.251553 | − | 0.967844i | \(-0.419059\pi\) | |||||||
\(758\) | 42.6290 | − | 12.6614i | 1.54836 | − | 0.459883i | ||||
\(759\) | 2.42454 | − | 0.973442i | 0.0880053 | − | 0.0353337i | ||||
\(760\) | −8.48416 | − | 19.6278i | −0.307753 | − | 0.711977i | ||||
\(761\) | 20.0013 | − | 2.63321i | 0.725045 | − | 0.0954540i | 0.241035 | − | 0.970516i | \(-0.422513\pi\) |
0.484010 | + | 0.875062i | \(0.339180\pi\) | |||||||
\(762\) | −3.64712 | + | 31.6051i | −0.132121 | + | 1.14493i | ||||
\(763\) | 5.44882 | − | 6.21318i | 0.197260 | − | 0.224932i | ||||
\(764\) | −11.7335 | − | 24.5069i | −0.424503 | − | 0.886628i | ||||
\(765\) | 3.56487 | − | 40.7501i | 0.128888 | − | 1.47332i | ||||
\(766\) | −3.27755 | − | 2.06461i | −0.118423 | − | 0.0745975i | ||||
\(767\) | −27.0568 | + | 46.8637i | −0.976963 | + | 1.69215i | ||||
\(768\) | 3.83890 | + | 27.4456i | 0.138525 | + | 0.990359i | ||||
\(769\) | −2.07614 | − | 3.59598i | −0.0748676 | − | 0.129674i | 0.826161 | − | 0.563434i | \(-0.190520\pi\) |
−0.901029 | + | 0.433760i | \(0.857187\pi\) | |||||||
\(770\) | −0.125061 | + | 3.24385i | −0.00450687 | + | 0.116900i | ||||
\(771\) | −28.6322 | − | 2.19045i | −1.03116 | − | 0.0788872i | ||||
\(772\) | −39.6290 | − | 3.06020i | −1.42628 | − | 0.110139i | ||||
\(773\) | −5.25194 | − | 1.04468i | −0.188899 | − | 0.0375744i | 0.0997340 | − | 0.995014i | \(-0.468201\pi\) |
−0.288633 | + | 0.957440i | \(0.593201\pi\) | |||||||
\(774\) | 29.5602 | − | 38.9336i | 1.06252 | − | 1.39944i | ||||
\(775\) | −0.754488 | + | 1.82150i | −0.0271020 | + | 0.0654300i | ||||
\(776\) | 22.8716 | − | 30.7702i | 0.821042 | − | 1.10459i | ||||
\(777\) | 3.37284 | − | 23.6255i | 0.121000 | − | 0.847560i | ||||
\(778\) | −11.8628 | + | 49.5727i | −0.425302 | + | 1.77727i | ||||
\(779\) | −11.3813 | + | 23.0790i | −0.407777 | + | 0.826891i | ||||
\(780\) | −51.0085 | − | 7.88784i | −1.82640 | − | 0.282430i | ||||
\(781\) | 0.832024 | − | 2.45106i | 0.0297721 | − | 0.0877059i | ||||
\(782\) | 17.9034 | − | 12.6726i | 0.640224 | − | 0.453172i | ||||
\(783\) | −1.35647 | − | 5.81729i | −0.0484763 | − | 0.207893i | ||||
\(784\) | −15.9218 | + | 1.72084i | −0.568637 | + | 0.0614587i | ||||
\(785\) | −4.47526 | − | 16.7019i | −0.159729 | − | 0.596117i | ||||
\(786\) | −5.83880 | − | 1.06453i | −0.208263 | − | 0.0379704i | ||||
\(787\) | −22.3314 | + | 19.5841i | −0.796028 | + | 0.698098i | −0.957390 | − | 0.288797i | \(-0.906745\pi\) |
0.161362 | + | 0.986895i | \(0.448411\pi\) | |||||||
\(788\) | −0.748857 | + | 0.731655i | −0.0266769 | + | 0.0260641i | ||||
\(789\) | 26.9753 | − | 1.47284i | 0.960346 | − | 0.0524343i | ||||
\(790\) | −27.9951 | − | 15.1734i | −0.996021 | − | 0.539847i | ||||
\(791\) | 5.05463 | − | 2.09370i | 0.179722 | − | 0.0744433i | ||||
\(792\) | 4.48292 | − | 1.48926i | 0.159294 | − | 0.0529187i | ||||
\(793\) | −42.4868 | − | 17.5986i | −1.50875 | − | 0.624945i | ||||
\(794\) | 19.8539 | − | 16.1016i | 0.704588 | − | 0.571423i | ||||
\(795\) | 6.79310 | + | 20.7526i | 0.240926 | + | 0.736018i | ||||
\(796\) | −12.2769 | − | 18.8440i | −0.435143 | − | 0.667908i | ||||
\(797\) | 20.2557 | + | 1.32763i | 0.717493 | + | 0.0470270i | 0.419777 | − | 0.907627i | \(-0.362108\pi\) |
0.297716 | + | 0.954654i | \(0.403775\pi\) | |||||||
\(798\) | 9.03377 | + | 9.97427i | 0.319792 | + | 0.353085i | ||||
\(799\) | 33.5508 | + | 19.3706i | 1.18694 | + | 0.685281i | ||||
\(800\) | 3.80524 | + | 0.235352i | 0.134536 | + | 0.00832096i | ||||
\(801\) | −0.132261 | + | 6.06348i | −0.00467320 | + | 0.214243i | ||||
\(802\) | −34.6912 | + | 7.87664i | −1.22499 | + | 0.278134i | ||||
\(803\) | 3.82130 | + | 7.74883i | 0.134851 | + | 0.273450i | ||||
\(804\) | 12.8585 | − | 4.04430i | 0.453486 | − | 0.142631i | ||||
\(805\) | −10.5792 | + | 3.59116i | −0.372868 | + | 0.126572i | ||||
\(806\) | 25.5565 | − | 4.06703i | 0.900188 | − | 0.143255i | ||||
\(807\) | 3.50714 | − | 8.21252i | 0.123457 | − | 0.289094i | ||||
\(808\) | −26.2886 | + | 23.7756i | −0.924829 | + | 0.836424i | ||||
\(809\) | 33.6897 | − | 13.9547i | 1.18447 | − | 0.490622i | 0.298517 | − | 0.954404i | \(-0.403508\pi\) |
0.885949 | + | 0.463783i | \(0.153508\pi\) | |||||||
\(810\) | 30.3138 | + | 0.506367i | 1.06512 | + | 0.0177919i | ||||
\(811\) | −20.4166 | + | 13.6420i | −0.716925 | + | 0.479034i | −0.859751 | − | 0.510714i | \(-0.829381\pi\) |
0.142825 | + | 0.989748i | \(0.454381\pi\) | |||||||
\(812\) | 1.94973 | + | 3.46951i | 0.0684221 | + | 0.121756i | ||||
\(813\) | 0.151277 | − | 0.0283797i | 0.00530553 | − | 0.000995319i | ||||
\(814\) | 2.17338 | + | 5.87788i | 0.0761769 | + | 0.206019i | ||||
\(815\) | 42.5084 | + | 11.3901i | 1.48900 | + | 0.398977i | ||||
\(816\) | 33.7080 | − | 20.8948i | 1.18002 | − | 0.731466i | ||||
\(817\) | −35.3227 | + | 9.46468i | −1.23578 | + | 0.331127i | ||||
\(818\) | 24.7516 | + | 34.9681i | 0.865420 | + | 1.22263i | ||||
\(819\) | 31.9896 | − | 5.64088i | 1.11781 | − | 0.197108i | ||||
\(820\) | −23.1564 | − | 30.9151i | −0.808655 | − | 1.07960i | ||||
\(821\) | −29.1515 | + | 1.91069i | −1.01740 | + | 0.0666836i | −0.564964 | − | 0.825116i | \(-0.691110\pi\) |
−0.452431 | + | 0.891799i | \(0.649443\pi\) | |||||||
\(822\) | 2.37369 | − | 9.46219i | 0.0827919 | − | 0.330032i | ||||
\(823\) | 11.8081 | − | 15.3886i | 0.411605 | − | 0.536414i | −0.540840 | − | 0.841126i | \(-0.681894\pi\) |
0.952445 | + | 0.304712i | \(0.0985602\pi\) | |||||||
\(824\) | 26.5801 | − | 0.406638i | 0.925963 | − | 0.0141659i | ||||
\(825\) | −0.0777938 | − | 0.645193i | −0.00270843 | − | 0.0224628i | ||||
\(826\) | −2.19817 | + | 21.0633i | −0.0764842 | + | 0.732885i | ||||
\(827\) | −14.0867 | − | 2.80202i | −0.489842 | − | 0.0974357i | −0.0560116 | − | 0.998430i | \(-0.517838\pi\) |
−0.433831 | + | 0.900994i | \(0.642838\pi\) | |||||||
\(828\) | 10.3046 | + | 12.5742i | 0.358111 | + | 0.436985i | ||||
\(829\) | 29.0505 | + | 19.4109i | 1.00897 | + | 0.674169i | 0.946107 | − | 0.323853i | \(-0.104978\pi\) |
0.0628584 | + | 0.998022i | \(0.479978\pi\) | |||||||
\(830\) | −21.6506 | − | 41.0775i | −0.751502 | − | 1.42582i | ||||
\(831\) | −39.1975 | − | 23.2043i | −1.35975 | − | 0.804947i | ||||
\(832\) | −23.4953 | − | 44.1828i | −0.814554 | − | 1.53176i | ||||
\(833\) | 11.4589 | + | 19.8475i | 0.397029 | + | 0.687674i | ||||
\(834\) | 15.4608 | + | 9.97630i | 0.535365 | + | 0.345451i | ||||
\(835\) | −9.65844 | + | 4.76301i | −0.334244 | + | 0.164831i | ||||
\(836\) | −3.33281 | − | 1.17469i | −0.115268 | − | 0.0406276i | ||||
\(837\) | −14.5459 | + | 4.41264i | −0.502781 | + | 0.152523i | ||||
\(838\) | 46.4794 | − | 20.7349i | 1.60560 | − | 0.716277i | ||||
\(839\) | −18.3136 | − | 23.8667i | −0.632254 | − | 0.823970i | 0.361868 | − | 0.932229i | \(-0.382139\pi\) |
−0.994123 | + | 0.108259i | \(0.965472\pi\) | |||||||
\(840\) | −19.4883 | + | 5.31374i | −0.672411 | + | 0.183341i | ||||
\(841\) | 16.8496 | − | 21.9588i | 0.581021 | − | 0.757201i | ||||
\(842\) | 17.4177 | + | 4.16808i | 0.600255 | + | 0.143642i | ||||
\(843\) | −0.740180 | − | 13.5565i | −0.0254931 | − | 0.466912i | ||||
\(844\) | 3.67894 | + | 30.6961i | 0.126634 | + | 1.05660i | ||||
\(845\) | 61.0396 | − | 12.1415i | 2.09983 | − | 0.417682i | ||||
\(846\) | −12.5681 | + | 25.8170i | −0.432099 | + | 0.887607i | ||||
\(847\) | −13.0847 | − | 13.0847i | −0.449595 | − | 0.449595i | ||||
\(848\) | −12.1675 | + | 17.3246i | −0.417834 | + | 0.594929i | ||||
\(849\) | 11.0284 | − | 39.4333i | 0.378493 | − | 1.35335i | ||||
\(850\) | −1.89216 | − | 5.11734i | −0.0649007 | − | 0.175523i | ||||
\(851\) | −16.2153 | + | 14.2204i | −0.555853 | + | 0.487470i | ||||
\(852\) | 16.1024 | + | 0.362734i | 0.551658 | + | 0.0124271i | ||||
\(853\) | −2.80478 | − | 42.7927i | −0.0960340 | − | 1.46520i | −0.725529 | − | 0.688191i | \(-0.758405\pi\) |
0.629496 | − | 0.777004i | \(-0.283262\pi\) | |||||||
\(854\) | −17.9909 | + | 0.484356i | −0.615637 | + | 0.0165743i | ||||
\(855\) | −17.6880 | − | 14.1959i | −0.604916 | − | 0.485489i | ||||
\(856\) | 12.5833 | + | 24.5619i | 0.430088 | + | 0.839508i | ||||
\(857\) | −15.1263 | + | 11.6068i | −0.516705 | + | 0.396482i | −0.833931 | − | 0.551868i | \(-0.813915\pi\) |
0.317226 | + | 0.948350i | \(0.397249\pi\) | |||||||
\(858\) | −6.68321 | + | 5.30034i | −0.228161 | + | 0.180951i | ||||
\(859\) | 33.8545 | − | 11.4920i | 1.15510 | − | 0.392103i | 0.322820 | − | 0.946460i | \(-0.395369\pi\) |
0.832279 | + | 0.554357i | \(0.187036\pi\) | |||||||
\(860\) | 11.3335 | − | 53.7084i | 0.386469 | − | 1.83144i | ||||
\(861\) | 20.0636 | + | 13.7248i | 0.683764 | + | 0.467741i | ||||
\(862\) | −13.4077 | + | 43.2923i | −0.456668 | + | 1.47454i | ||||
\(863\) | − | 14.4145i | − | 0.490675i | −0.969438 | − | 0.245338i | \(-0.921101\pi\) | ||
0.969438 | − | 0.245338i | \(-0.0788988\pi\) | |||||||
\(864\) | 17.2093 | + | 23.8294i | 0.585473 | + | 0.810692i | ||||
\(865\) | − | 39.2657i | − | 1.33507i | ||||||
\(866\) | −41.8150 | − | 12.9502i | −1.42093 | − | 0.440064i | ||||
\(867\) | −22.5403 | − | 15.4191i | −0.765509 | − | 0.523660i | ||||
\(868\) | 8.48554 | − | 5.52835i | 0.288018 | − | 0.187644i | ||||
\(869\) | −4.98308 | + | 1.69153i | −0.169039 | + | 0.0573811i | ||||
\(870\) | −4.16788 | − | 5.25529i | −0.141305 | − | 0.178171i | ||||
\(871\) | −19.3104 | + | 14.8174i | −0.654308 | + | 0.502069i | ||||
\(872\) | −13.4592 | + | 1.08916i | −0.455786 | + | 0.0368836i | ||||
\(873\) | 6.18582 | − | 40.1919i | 0.209358 | − | 1.36029i | ||||
\(874\) | −0.327299 | − | 12.1572i | −0.0110710 | − | 0.411223i | ||||
\(875\) | −1.16662 | − | 17.7992i | −0.0394389 | − | 0.601722i | ||||
\(876\) | −38.8613 | + | 37.1491i | −1.31300 | + | 1.25515i | ||||
\(877\) | −28.7249 | + | 25.1910i | −0.969970 | + | 0.850641i | −0.988810 | − | 0.149182i | \(-0.952336\pi\) |
0.0188401 | + | 0.999823i | \(0.494003\pi\) | |||||||
\(878\) | −4.58796 | + | 1.69642i | −0.154836 | + | 0.0572515i | ||||
\(879\) | −5.64357 | + | 20.1793i | −0.190353 | + | 0.680630i | ||||
\(880\) | 3.83686 | − | 3.66257i | 0.129341 | − | 0.123465i | ||||
\(881\) | −31.6694 | − | 31.6694i | −1.06697 | − | 1.06697i | −0.997590 | − | 0.0693790i | \(-0.977898\pi\) |
−0.0693790 | − | 0.997590i | \(-0.522102\pi\) | |||||||
\(882\) | −14.0750 | + | 9.50891i | −0.473929 | + | 0.320182i | ||||
\(883\) | 46.1141 | − | 9.17266i | 1.55186 | − | 0.308685i | 0.656605 | − | 0.754234i | \(-0.271992\pi\) |
0.895257 | + | 0.445550i | \(0.146992\pi\) | |||||||
\(884\) | −44.2521 | + | 56.3038i | −1.48836 | + | 1.89370i | ||||
\(885\) | −1.94586 | − | 35.6388i | −0.0654093 | − | 1.19799i | ||||
\(886\) | −5.61360 | + | 23.4583i | −0.188592 | + | 0.788098i | ||||
\(887\) | 0.760797 | − | 0.991490i | 0.0255451 | − | 0.0332910i | −0.780406 | − | 0.625273i | \(-0.784988\pi\) |
0.805951 | + | 0.591982i | \(0.201654\pi\) | |||||||
\(888\) | −30.8323 | + | 23.8744i | −1.03467 | + | 0.801172i | ||||
\(889\) | −13.6867 | − | 17.8368i | −0.459036 | − | 0.598228i | ||||
\(890\) | 2.77455 | + | 6.21942i | 0.0930032 | + | 0.208476i | ||||
\(891\) | 3.46468 | − | 3.61936i | 0.116071 | − | 0.121253i | ||||
\(892\) | −26.7058 | + | 12.7863i | −0.894176 | + | 0.428117i | ||||
\(893\) | 19.2648 | − | 9.50033i | 0.644671 | − | 0.317917i | ||||
\(894\) | 14.5143 | − | 22.4936i | 0.485430 | − | 0.752298i | ||||
\(895\) | 11.4655 | + | 19.8588i | 0.383250 | + | 0.663808i | ||||
\(896\) | −15.4419 | − | 12.0450i | −0.515878 | − | 0.402395i | ||||
\(897\) | −25.2614 | − | 14.9543i | −0.843454 | − | 0.499310i | ||||
\(898\) | 34.2783 | − | 18.0669i | 1.14388 | − | 0.602901i | ||||
\(899\) | 2.79614 | + | 1.86832i | 0.0932565 | + | 0.0623120i | ||||
\(900\) | 3.68450 | − | 1.66631i | 0.122817 | − | 0.0555436i | ||||
\(901\) | 29.7143 | + | 5.91054i | 0.989926 | + | 0.196908i | ||||
\(902\) | −6.34886 | − | 0.662569i | −0.211394 | − | 0.0220611i | ||||
\(903\) | 4.13531 | + | 34.2967i | 0.137614 | + | 1.14132i | ||||
\(904\) | −8.31056 | − | 3.29433i | −0.276405 | − | 0.109568i | ||||
\(905\) | 4.38715 | − | 5.71745i | 0.145834 | − | 0.190054i | ||||
\(906\) | 28.7390 | + | 7.20948i | 0.954789 | + | 0.239519i | ||||
\(907\) | 13.8983 | − | 0.910941i | 0.461485 | − | 0.0302473i | 0.167112 | − | 0.985938i | \(-0.446556\pi\) |
0.294373 | + | 0.955691i | \(0.404889\pi\) | |||||||
\(908\) | −13.7195 | − | 1.96863i | −0.455299 | − | 0.0653313i | ||||
\(909\) | −12.8581 | + | 35.3283i | −0.426477 | + | 1.17176i | ||||
\(910\) | 29.7715 | − | 21.0733i | 0.986916 | − | 0.698573i | ||||
\(911\) | 13.6404 | − | 3.65492i | 0.451925 | − | 0.121093i | −0.0256748 | − | 0.999670i | \(-0.508173\pi\) |
0.477600 | + | 0.878577i | \(0.341507\pi\) | |||||||
\(912\) | 0.750581 | − | 21.9760i | 0.0248542 | − | 0.727697i | ||||
\(913\) | −7.41222 | − | 1.98610i | −0.245309 | − | 0.0657303i | ||||
\(914\) | 12.7139 | − | 4.70103i | 0.420538 | − | 0.155496i | ||||
\(915\) | 29.8120 | − | 5.59275i | 0.985556 | − | 0.184891i | ||||
\(916\) | −3.23602 | + | 11.5390i | −0.106921 | + | 0.381260i | ||||
\(917\) | 3.48733 | − | 2.33016i | 0.115162 | − | 0.0769485i | ||||
\(918\) | 21.2432 | − | 36.3064i | 0.701129 | − | 1.19829i | ||||
\(919\) | 41.7029 | − | 17.2739i | 1.37565 | − | 0.569814i | 0.432337 | − | 0.901712i | \(-0.357689\pi\) |
0.943315 | + | 0.331898i | \(0.107689\pi\) | |||||||
\(920\) | 16.4941 | + | 7.82261i | 0.543793 | + | 0.257904i | ||||
\(921\) | −21.0451 | + | 49.2804i | −0.693458 | + | 1.62384i | ||||
\(922\) | −6.44617 | − | 40.5066i | −0.212293 | − | 1.33401i | ||||
\(923\) | −27.5402 | + | 9.34863i | −0.906496 | + | 0.307714i | ||||
\(924\) | −1.54351 | + | 2.95995i | −0.0507778 | + | 0.0973752i | ||||
\(925\) | 2.37272 | + | 4.81140i | 0.0780145 | + | 0.158198i | ||||
\(926\) | −8.25302 | − | 36.3488i | −0.271211 | − | 1.19450i | ||||
\(927\) | 24.7199 | − | 13.5620i | 0.811908 | − | 0.445436i | ||||
\(928\) | 1.65997 | − | 6.28752i | 0.0544911 | − | 0.206398i | ||||
\(929\) | −13.1474 | − | 7.59063i | −0.431351 | − | 0.249041i | 0.268571 | − | 0.963260i | \(-0.413449\pi\) |
−0.699922 | + | 0.714219i | \(0.746782\pi\) | |||||||
\(930\) | −12.6510 | + | 11.4581i | −0.414841 | + | 0.375725i | ||||
\(931\) | 12.6796 | + | 0.831063i | 0.415556 | + | 0.0272370i | ||||
\(932\) | −7.80125 | + | 36.9694i | −0.255538 | + | 1.21097i | ||||
\(933\) | −8.72706 | − | 26.6607i | −0.285711 | − | 0.872833i | ||||
\(934\) | 14.0735 | + | 17.3532i | 0.460499 | + | 0.567815i | ||||
\(935\) | −7.01303 | − | 2.90489i | −0.229351 | − | 0.0950001i | ||||
\(936\) | −43.9389 | − | 29.7747i | −1.43619 | − | 0.973218i | ||||
\(937\) | −23.1047 | + | 9.57026i | −0.754796 | + | 0.312647i | −0.726697 | − | 0.686958i | \(-0.758946\pi\) |
−0.0280994 | + | 0.999605i | \(0.508946\pi\) | |||||||
\(938\) | −4.53911 | + | 8.37470i | −0.148207 | + | 0.273443i | ||||
\(939\) | −28.8555 | + | 1.57550i | −0.941665 | + | 0.0514144i | ||||
\(940\) | −0.374594 | + | 32.2401i | −0.0122179 | + | 1.05156i | ||||
\(941\) | 20.7553 | − | 18.2019i | 0.676602 | − | 0.593364i | −0.250526 | − | 0.968110i | \(-0.580603\pi\) |
0.927128 | + | 0.374746i | \(0.122270\pi\) | |||||||
\(942\) | 3.18923 | − | 17.4926i | 0.103911 | − | 0.569939i | ||||
\(943\) | −5.68587 | − | 21.2199i | −0.185157 | − | 0.691016i | ||||
\(944\) | 26.5397 | − | 22.2053i | 0.863795 | − | 0.722722i | ||||
\(945\) | −15.6372 | + | 14.6462i | −0.508679 | + | 0.476441i | ||||
\(946\) | −5.24093 | − | 7.40418i | −0.170397 | − | 0.240731i | ||||
\(947\) | 11.8185 | − | 34.8162i | 0.384050 | − | 1.13137i | −0.567366 | − | 0.823466i | \(-0.692037\pi\) |
0.951416 | − | 0.307909i | \(-0.0996292\pi\) | |||||||
\(948\) | −19.3437 | − | 26.4206i | −0.628253 | − | 0.858100i | ||||
\(949\) | 42.9362 | − | 87.0660i | 1.39377 | − | 2.82628i | ||||
\(950\) | −2.94198 | − | 0.704018i | −0.0954504 | − | 0.0228414i | ||||
\(951\) | −4.80668 | + | 33.6691i | −0.155867 | + | 1.09179i | ||||
\(952\) | −6.83873 | + | 27.1789i | −0.221644 | + | 0.880872i | ||||
\(953\) | 11.2379 | − | 27.1307i | 0.364032 | − | 0.878851i | −0.630670 | − | 0.776051i | \(-0.717220\pi\) |
0.994702 | − | 0.102800i | \(-0.0327802\pi\) | |||||||
\(954\) | −2.81721 | + | 22.2773i | −0.0912104 | + | 0.721254i | ||||
\(955\) | −31.7389 | − | 6.31327i | −1.02705 | − | 0.204293i | ||||
\(956\) | 36.4633 | − | 31.2355i | 1.17931 | − | 1.01023i | ||||
\(957\) | −1.10524 | − | 0.0845544i | −0.0357273 | − | 0.00273325i | ||||
\(958\) | 47.7874 | + | 1.84236i | 1.54394 | + | 0.0595238i | ||||
\(959\) | 3.44696 | + | 5.97030i | 0.111308 | + | 0.192791i | ||||
\(960\) | 28.9035 | + | 15.9370i | 0.932856 | + | 0.514366i | ||||
\(961\) | −11.2212 | + | 19.4357i | −0.361974 | + | 0.626957i | ||||
\(962\) | 37.5302 | − | 59.5788i | 1.21002 | − | 1.92090i | ||||
\(963\) | 23.9780 | + | 16.7893i | 0.772682 | + | 0.541029i | ||||
\(964\) | −0.297445 | + | 0.843902i | −0.00958004 | + | 0.0271803i | ||||
\(965\) | −31.2126 | + | 35.5912i | −1.00477 | + | 1.14572i | ||||
\(966\) | −11.4129 | − | 1.31701i | −0.367203 | − | 0.0423741i | ||||
\(967\) | −19.2114 | + | 2.52923i | −0.617798 | + | 0.0813347i | −0.432928 | − | 0.901428i | \(-0.642520\pi\) |
−0.184870 | + | 0.982763i | \(0.559186\pi\) | |||||||
\(968\) | 0.462514 | + | 30.2326i | 0.0148658 | + | 0.971711i | ||||
\(969\) | −29.2017 | + | 11.7243i | −0.938093 | + | 0.376640i | ||||
\(970\) | −13.0010 | − | 43.7725i | −0.417439 | − | 1.40545i | ||||
\(971\) | 7.61274 | + | 11.3933i | 0.244304 | + | 0.365627i | 0.933275 | − | 0.359161i | \(-0.116937\pi\) |
−0.688971 | + | 0.724789i | \(0.741937\pi\) | |||||||
\(972\) | 27.9522 | + | 13.8085i | 0.896567 | + | 0.442909i | ||||
\(973\) | −12.7531 | + | 2.53675i | −0.408846 | + | 0.0813245i | ||||
\(974\) | −19.8740 | + | 1.84091i | −0.636803 | + | 0.0589866i | ||||
\(975\) | −5.21923 | + | 5.10662i | −0.167149 | + | 0.163543i | ||||
\(976\) | 21.6533 | + | 19.8982i | 0.693104 | + | 0.636926i | ||||
\(977\) | −52.7233 | − | 14.1272i | −1.68677 | − | 0.451968i | −0.717216 | − | 0.696851i | \(-0.754584\pi\) |
−0.969553 | + | 0.244883i | \(0.921250\pi\) | |||||||
\(978\) | 34.4976 | + | 29.2899i | 1.10311 | + | 0.936587i | ||||
\(979\) | 1.06574 | + | 0.361769i | 0.0340611 | + | 0.0115622i | ||||
\(980\) | −9.72796 | + | 16.4061i | −0.310748 | + | 0.524075i | ||||
\(981\) | −12.0793 | + | 7.69546i | −0.385661 | + | 0.245697i | ||||
\(982\) | 9.55664 | − | 0.257286i | 0.304965 | − | 0.00821033i | ||||
\(983\) | 3.05546 | − | 23.2086i | 0.0974542 | − | 0.740238i | −0.871042 | − | 0.491209i | \(-0.836555\pi\) |
0.968496 | − | 0.249029i | \(-0.0801115\pi\) | |||||||
\(984\) | −7.92007 | − | 38.9225i | −0.252483 | − | 1.24081i | ||||
\(985\) | 0.162756 | + | 1.23626i | 0.00518584 | + | 0.0393904i | ||||
\(986\) | −9.19051 | + | 1.46257i | −0.292685 | + | 0.0465776i | ||||
\(987\) | −6.31252 | − | 19.2844i | −0.200930 | − | 0.613830i | ||||
\(988\) | 12.3252 | + | 37.7441i | 0.392118 | + | 1.20080i | ||||
\(989\) | 17.3446 | − | 25.9580i | 0.551525 | − | 0.825415i | ||||
\(990\) | 1.78122 | − | 5.33668i | 0.0566109 | − | 0.169611i | ||||
\(991\) | − | 45.5712i | − | 1.44762i | −0.690001 | − | 0.723808i | \(-0.742390\pi\) | ||
0.690001 | − | 0.723808i | \(-0.257610\pi\) | |||||||
\(992\) | −16.2420 | − | 3.16867i | −0.515685 | − | 0.100605i | ||||
\(993\) | −10.7559 | + | 18.1693i | −0.341329 | + | 0.576587i | ||||
\(994\) | −8.35242 | + | 7.73230i | −0.264923 | + | 0.245254i | ||||
\(995\) | −26.7288 | − | 1.75190i | −0.847360 | − | 0.0555389i | ||||
\(996\) | −2.04910 | − | 47.7054i | −0.0649283 | − | 1.51160i | ||||
\(997\) | 29.2805 | + | 25.6783i | 0.927324 | + | 0.813241i | 0.982696 | − | 0.185225i | \(-0.0593013\pi\) |
−0.0553724 | + | 0.998466i | \(0.517635\pi\) | |||||||
\(998\) | −15.9560 | − | 6.11145i | −0.505077 | − | 0.193455i | ||||
\(999\) | −17.0694 | + | 37.6740i | −0.540051 | + | 1.19195i |
(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 | 576.2.bm.a.133.80 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.517.46 | yes | 1504 | |
64.13 | even | 16 | inner | 576.2.bm.a.205.46 | yes | 1504 | |
576.13 | even | 48 | inner | 576.2.bm.a.13.80 | ✓ | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.80 | ✓ | 1504 | 576.13 | even | 48 | inner | |
576.2.bm.a.133.80 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.205.46 | yes | 1504 | 64.13 | even | 16 | inner | |
576.2.bm.a.517.46 | yes | 1504 | 9.4 | even | 3 | inner |