Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(4,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.z (of order \(21\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 142.26 | ||
Character | \(\chi\) | \(=\) | 441.142 |
Dual form | 441.2.z.a.382.26 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0677071 | + | 0.172515i | −0.0478762 | + | 0.121986i | −0.952811 | − | 0.303563i | \(-0.901824\pi\) |
0.904935 | + | 0.425549i | \(0.139919\pi\) | |||||||
\(3\) | 0.479565 | − | 1.66434i | 0.276877 | − | 0.960905i | ||||
\(4\) | 1.44093 | + | 1.33698i | 0.720463 | + | 0.668492i | ||||
\(5\) | −3.85963 | + | 1.85870i | −1.72608 | + | 0.831235i | −0.738471 | + | 0.674285i | \(0.764452\pi\) |
−0.987606 | + | 0.156951i | \(0.949834\pi\) | |||||||
\(6\) | 0.254653 | + | 0.195419i | 0.103962 | + | 0.0797797i | ||||
\(7\) | −2.13368 | − | 1.56442i | −0.806455 | − | 0.591295i | ||||
\(8\) | −0.662156 | + | 0.318878i | −0.234108 | + | 0.112740i | ||||
\(9\) | −2.54004 | − | 1.59631i | −0.846679 | − | 0.532105i | ||||
\(10\) | −0.0593290 | − | 0.791690i | −0.0187615 | − | 0.250354i | ||||
\(11\) | 2.63705 | + | 3.30676i | 0.795101 | + | 0.997025i | 0.999834 | + | 0.0182070i | \(0.00579578\pi\) |
−0.204734 | + | 0.978818i | \(0.565633\pi\) | |||||||
\(12\) | 2.91621 | − | 1.75702i | 0.841837 | − | 0.507207i | ||||
\(13\) | −1.78600 | + | 4.55066i | −0.495348 | + | 1.26213i | 0.436640 | + | 0.899636i | \(0.356168\pi\) |
−0.931988 | + | 0.362489i | \(0.881927\pi\) | |||||||
\(14\) | 0.414351 | − | 0.262169i | 0.110740 | − | 0.0700677i | ||||
\(15\) | 1.24256 | + | 7.31509i | 0.320828 | + | 1.88875i | ||||
\(16\) | 0.283609 | + | 3.78449i | 0.0709022 | + | 0.946123i | ||||
\(17\) | −3.42450 | + | 3.17747i | −0.830563 | + | 0.770650i | −0.975781 | − | 0.218750i | \(-0.929802\pi\) |
0.145218 | + | 0.989400i | \(0.453612\pi\) | |||||||
\(18\) | 0.447366 | − | 0.330112i | 0.105445 | − | 0.0778082i | ||||
\(19\) | 1.76621 | − | 3.05917i | 0.405196 | − | 0.701821i | −0.589148 | − | 0.808025i | \(-0.700537\pi\) |
0.994344 | + | 0.106205i | \(0.0338698\pi\) | |||||||
\(20\) | −8.04649 | − | 2.48201i | −1.79925 | − | 0.554995i | ||||
\(21\) | −3.62696 | + | 2.80092i | −0.791467 | + | 0.611212i | ||||
\(22\) | −0.749012 | + | 0.231040i | −0.159690 | + | 0.0492578i | ||||
\(23\) | −0.991822 | + | 4.34546i | −0.206809 | + | 0.906090i | 0.759865 | + | 0.650081i | \(0.225265\pi\) |
−0.966674 | + | 0.256009i | \(0.917592\pi\) | |||||||
\(24\) | 0.213173 | + | 1.25497i | 0.0435138 | + | 0.256170i | ||||
\(25\) | 8.32452 | − | 10.4386i | 1.66490 | − | 2.08772i | ||||
\(26\) | −0.664131 | − | 0.616224i | −0.130247 | − | 0.120851i | ||||
\(27\) | −3.87492 | + | 3.46194i | −0.745728 | + | 0.666251i | ||||
\(28\) | −0.982872 | − | 5.10691i | −0.185745 | − | 0.965115i | ||||
\(29\) | −4.35551 | − | 1.34350i | −0.808799 | − | 0.249481i | −0.137341 | − | 0.990524i | \(-0.543855\pi\) |
−0.671458 | + | 0.741043i | \(0.734332\pi\) | |||||||
\(30\) | −1.34609 | − | 0.280923i | −0.245762 | − | 0.0512893i | ||||
\(31\) | −0.399427 | + | 0.691828i | −0.0717393 | + | 0.124256i | −0.899664 | − | 0.436584i | \(-0.856188\pi\) |
0.827924 | + | 0.560840i | \(0.189522\pi\) | |||||||
\(32\) | −2.07666 | − | 0.640564i | −0.367105 | − | 0.113237i | ||||
\(33\) | 6.76819 | − | 2.80314i | 1.17819 | − | 0.487964i | ||||
\(34\) | −0.316298 | − | 0.805914i | −0.0542447 | − | 0.138213i | ||||
\(35\) | 11.1430 | + | 2.07221i | 1.88351 | + | 0.350267i | ||||
\(36\) | −1.52576 | − | 5.69616i | −0.254293 | − | 0.949360i | ||||
\(37\) | −1.39051 | − | 0.428915i | −0.228598 | − | 0.0705131i | 0.178340 | − | 0.983969i | \(-0.442927\pi\) |
−0.406938 | + | 0.913456i | \(0.633403\pi\) | |||||||
\(38\) | 0.408167 | + | 0.511825i | 0.0662134 | + | 0.0830289i | ||||
\(39\) | 6.71733 | + | 5.15484i | 1.07563 | + | 0.825436i | ||||
\(40\) | 1.96298 | − | 2.46150i | 0.310374 | − | 0.389197i | ||||
\(41\) | −5.38046 | − | 3.66833i | −0.840286 | − | 0.572898i | 0.0649100 | − | 0.997891i | \(-0.479324\pi\) |
−0.905196 | + | 0.424994i | \(0.860276\pi\) | |||||||
\(42\) | −0.237630 | − | 0.815347i | −0.0366671 | − | 0.125811i | ||||
\(43\) | 0.803331 | − | 0.547702i | 0.122507 | − | 0.0835238i | −0.500516 | − | 0.865727i | \(-0.666857\pi\) |
0.623023 | + | 0.782203i | \(0.285904\pi\) | |||||||
\(44\) | −0.621286 | + | 8.29049i | −0.0936624 | + | 1.24984i | ||||
\(45\) | 12.7707 | + | 1.44002i | 1.90374 | + | 0.214665i | ||||
\(46\) | −0.682502 | − | 0.465322i | −0.100629 | − | 0.0686080i | ||||
\(47\) | −0.527279 | + | 1.34349i | −0.0769116 | + | 0.195968i | −0.964158 | − | 0.265328i | \(-0.914520\pi\) |
0.887247 | + | 0.461295i | \(0.152615\pi\) | |||||||
\(48\) | 6.43468 | + | 1.34289i | 0.928766 | + | 0.193829i | ||||
\(49\) | 2.10518 | + | 6.67594i | 0.300741 | + | 0.953706i | ||||
\(50\) | 1.23719 | + | 2.14287i | 0.174965 | + | 0.303048i | ||||
\(51\) | 3.64611 | + | 7.22332i | 0.510558 | + | 1.01147i | ||||
\(52\) | −8.65766 | + | 4.16931i | −1.20060 | + | 0.578179i | ||||
\(53\) | 3.59081 | − | 1.10762i | 0.493236 | − | 0.152143i | −0.0381514 | − | 0.999272i | \(-0.512147\pi\) |
0.531388 | + | 0.847129i | \(0.321671\pi\) | |||||||
\(54\) | −0.334877 | − | 0.902879i | −0.0455710 | − | 0.122866i | ||||
\(55\) | −16.3243 | − | 7.86137i | −2.20117 | − | 1.06003i | ||||
\(56\) | 1.91169 | + | 0.355507i | 0.255460 | + | 0.0475066i | ||||
\(57\) | −4.24447 | − | 4.40664i | −0.562194 | − | 0.583673i | ||||
\(58\) | 0.526673 | − | 0.660427i | 0.0691555 | − | 0.0867183i | ||||
\(59\) | 7.83538 | − | 5.34207i | 1.02008 | − | 0.695478i | 0.0668612 | − | 0.997762i | \(-0.478702\pi\) |
0.953218 | + | 0.302284i | \(0.0977492\pi\) | |||||||
\(60\) | −7.98972 | + | 12.2018i | −1.03147 | + | 1.57524i | ||||
\(61\) | 3.42731 | − | 3.18008i | 0.438822 | − | 0.407167i | −0.429580 | − | 0.903029i | \(-0.641338\pi\) |
0.868401 | + | 0.495862i | \(0.165148\pi\) | |||||||
\(62\) | −0.0923066 | − | 0.115749i | −0.0117230 | − | 0.0147001i | ||||
\(63\) | 2.92232 | + | 7.37971i | 0.368178 | + | 0.929755i | ||||
\(64\) | −4.48131 | + | 5.61938i | −0.560164 | + | 0.702423i | ||||
\(65\) | −1.56500 | − | 20.8835i | −0.194115 | − | 2.59028i | ||||
\(66\) | 0.0253282 | + | 1.35741i | 0.00311768 | + | 0.167085i | ||||
\(67\) | 1.97688 | − | 3.42405i | 0.241514 | − | 0.418314i | −0.719632 | − | 0.694356i | \(-0.755689\pi\) |
0.961146 | + | 0.276042i | \(0.0890228\pi\) | |||||||
\(68\) | −9.18268 | −1.11356 | ||||||||
\(69\) | 6.75666 | + | 3.73465i | 0.813406 | + | 0.449599i | ||||
\(70\) | −1.11195 | + | 1.78203i | −0.132903 | + | 0.212993i | ||||
\(71\) | −0.472508 | + | 2.07019i | −0.0560764 | + | 0.245687i | −0.995196 | − | 0.0979041i | \(-0.968786\pi\) |
0.939119 | + | 0.343591i | \(0.111643\pi\) | |||||||
\(72\) | 2.19093 | + | 0.247049i | 0.258203 | + | 0.0291150i | ||||
\(73\) | −6.12738 | − | 0.923554i | −0.717155 | − | 0.108094i | −0.219680 | − | 0.975572i | \(-0.570501\pi\) |
−0.497475 | + | 0.867478i | \(0.665739\pi\) | |||||||
\(74\) | 0.168141 | − | 0.210843i | 0.0195460 | − | 0.0245099i | ||||
\(75\) | −13.3812 | − | 18.8608i | −1.54513 | − | 2.17786i | ||||
\(76\) | 6.63503 | − | 2.04664i | 0.761091 | − | 0.234765i | ||||
\(77\) | −0.453469 | − | 11.1810i | −0.0516775 | − | 1.27419i | ||||
\(78\) | −1.34410 | + | 0.809819i | −0.152189 | + | 0.0916940i | ||||
\(79\) | 7.70181 | + | 13.3399i | 0.866521 | + | 1.50086i | 0.865529 | + | 0.500859i | \(0.166982\pi\) |
0.000992168 | 1.00000i | \(0.499684\pi\) | ||||||||
\(80\) | −8.12886 | − | 14.0796i | −0.908834 | − | 1.57415i | ||||
\(81\) | 3.90356 | + | 8.10939i | 0.433729 | + | 0.901043i | ||||
\(82\) | 0.997137 | − | 0.679837i | 0.110115 | − | 0.0750754i | ||||
\(83\) | 0.583504 | + | 1.48674i | 0.0640478 | + | 0.163191i | 0.959315 | − | 0.282339i | \(-0.0911104\pi\) |
−0.895267 | + | 0.445530i | \(0.853015\pi\) | |||||||
\(84\) | −8.97097 | − | 0.813263i | −0.978813 | − | 0.0887342i | ||||
\(85\) | 7.31133 | − | 18.6290i | 0.793025 | − | 2.02060i | ||||
\(86\) | 0.0400955 | + | 0.175670i | 0.00432361 | + | 0.0189430i | ||||
\(87\) | −4.32478 | + | 6.60475i | −0.463665 | + | 0.708103i | ||||
\(88\) | −2.80059 | − | 1.34869i | −0.298544 | − | 0.143771i | ||||
\(89\) | 1.85820 | + | 4.73462i | 0.196969 | + | 0.501868i | 0.994898 | − | 0.100882i | \(-0.0321666\pi\) |
−0.797930 | + | 0.602751i | \(0.794071\pi\) | |||||||
\(90\) | −1.11309 | + | 2.10563i | −0.117330 | + | 0.221953i | ||||
\(91\) | 10.9299 | − | 6.91560i | 1.14576 | − | 0.724951i | ||||
\(92\) | −7.23895 | + | 4.93543i | −0.754713 | + | 0.514554i | ||||
\(93\) | 0.959884 | + | 0.996558i | 0.0995354 | + | 0.103338i | ||||
\(94\) | −0.196071 | − | 0.181927i | −0.0202232 | − | 0.0187643i | ||||
\(95\) | −1.13085 | + | 15.0901i | −0.116022 | + | 1.54821i | ||||
\(96\) | −2.06201 | + | 3.14907i | −0.210453 | + | 0.321400i | ||||
\(97\) | −3.41005 | + | 5.90638i | −0.346238 | + | 0.599702i | −0.985578 | − | 0.169223i | \(-0.945874\pi\) |
0.639340 | + | 0.768924i | \(0.279208\pi\) | |||||||
\(98\) | −1.29424 | − | 0.0888331i | −0.130738 | − | 0.00897350i | ||||
\(99\) | −1.41958 | − | 12.6088i | −0.142673 | − | 1.26724i | ||||
\(100\) | 25.9513 | − | 3.91153i | 2.59513 | − | 0.391153i | ||||
\(101\) | 0.822197 | − | 0.395949i | 0.0818116 | − | 0.0393984i | −0.392531 | − | 0.919739i | \(-0.628400\pi\) |
0.474342 | + | 0.880341i | \(0.342686\pi\) | |||||||
\(102\) | −1.49300 | + | 0.139939i | −0.147829 | + | 0.0138560i | ||||
\(103\) | −9.60547 | + | 4.62575i | −0.946455 | + | 0.455789i | −0.842442 | − | 0.538787i | \(-0.818883\pi\) |
−0.104013 | + | 0.994576i | \(0.533168\pi\) | |||||||
\(104\) | −0.268491 | − | 3.58276i | −0.0263277 | − | 0.351319i | ||||
\(105\) | 8.79264 | − | 17.5519i | 0.858074 | − | 1.71289i | ||||
\(106\) | −0.0520428 | + | 0.694463i | −0.00505484 | + | 0.0674522i | ||||
\(107\) | −5.06902 | − | 12.9157i | −0.490041 | − | 1.24860i | −0.935508 | − | 0.353306i | \(-0.885058\pi\) |
0.445467 | − | 0.895298i | \(-0.353038\pi\) | |||||||
\(108\) | −10.2120 | − | 0.192301i | −0.982653 | − | 0.0185041i | ||||
\(109\) | −0.883435 | + | 2.25096i | −0.0846177 | + | 0.215602i | −0.966920 | − | 0.255082i | \(-0.917898\pi\) |
0.882302 | + | 0.470684i | \(0.155993\pi\) | |||||||
\(110\) | 2.46147 | − | 2.28391i | 0.234692 | − | 0.217763i | ||||
\(111\) | −1.38070 | + | 2.10858i | −0.131050 | + | 0.200138i | ||||
\(112\) | 5.31541 | − | 8.51858i | 0.502259 | − | 0.804930i | ||||
\(113\) | 16.3836 | + | 2.46943i | 1.54124 | + | 0.232304i | 0.864012 | − | 0.503471i | \(-0.167944\pi\) |
0.677226 | + | 0.735775i | \(0.263182\pi\) | |||||||
\(114\) | 1.04759 | − | 0.433874i | 0.0981159 | − | 0.0406360i | ||||
\(115\) | −4.24883 | − | 18.6153i | −0.396205 | − | 1.73589i | ||||
\(116\) | −4.47974 | − | 7.75914i | −0.415933 | − | 0.720418i | ||||
\(117\) | 11.8008 | − | 8.70782i | 1.09098 | − | 0.805038i | ||||
\(118\) | 0.391076 | + | 1.71341i | 0.0360014 | + | 0.157733i | ||||
\(119\) | 12.2777 | − | 1.42235i | 1.12549 | − | 0.130387i | ||||
\(120\) | −3.15539 | − | 4.44751i | −0.288046 | − | 0.406000i | ||||
\(121\) | −1.53287 | + | 6.71596i | −0.139352 | + | 0.610542i | ||||
\(122\) | 0.316558 | + | 0.806576i | 0.0286598 | + | 0.0730239i | ||||
\(123\) | −8.68562 | + | 7.19569i | −0.783156 | + | 0.648814i | ||||
\(124\) | −1.50051 | + | 0.462846i | −0.134750 | + | 0.0415648i | ||||
\(125\) | −7.96105 | + | 34.8796i | −0.712058 | + | 3.11973i | ||||
\(126\) | −1.47097 | + | 0.00448522i | −0.131044 | + | 0.000399575i | ||||
\(127\) | 1.30847 | + | 5.73278i | 0.116108 | + | 0.508702i | 0.999218 | + | 0.0395365i | \(0.0125881\pi\) |
−0.883110 | + | 0.469166i | \(0.844555\pi\) | |||||||
\(128\) | −2.83922 | − | 4.91767i | −0.250954 | − | 0.434665i | ||||
\(129\) | −0.526312 | − | 1.59967i | −0.0463392 | − | 0.140843i | ||||
\(130\) | 3.70867 | + | 1.14397i | 0.325272 | + | 0.100333i | ||||
\(131\) | 14.2607 | + | 6.86757i | 1.24596 | + | 0.600023i | 0.936426 | − | 0.350866i | \(-0.114113\pi\) |
0.309534 | + | 0.950888i | \(0.399827\pi\) | |||||||
\(132\) | 13.5002 | + | 5.00985i | 1.17504 | + | 0.436052i | ||||
\(133\) | −8.55434 | + | 3.76419i | −0.741756 | + | 0.326396i | ||||
\(134\) | 0.456851 | + | 0.572873i | 0.0394659 | + | 0.0494887i | ||||
\(135\) | 8.52103 | − | 20.5641i | 0.733373 | − | 1.76988i | ||||
\(136\) | 1.25433 | − | 3.19598i | 0.107558 | − | 0.274053i | ||||
\(137\) | −1.55616 | − | 0.749407i | −0.132952 | − | 0.0640262i | 0.366225 | − | 0.930526i | \(-0.380650\pi\) |
−0.499177 | + | 0.866500i | \(0.666364\pi\) | |||||||
\(138\) | −1.10176 | + | 0.912762i | −0.0937878 | + | 0.0776995i | ||||
\(139\) | 5.32336 | + | 3.62940i | 0.451521 | + | 0.307842i | 0.767644 | − | 0.640876i | \(-0.221429\pi\) |
−0.316123 | + | 0.948718i | \(0.602381\pi\) | |||||||
\(140\) | 13.2857 | + | 17.8839i | 1.12285 | + | 1.51147i | ||||
\(141\) | 1.98315 | + | 1.52186i | 0.167011 | + | 0.128164i | ||||
\(142\) | −0.325147 | − | 0.221681i | −0.0272857 | − | 0.0186031i | ||||
\(143\) | −19.7577 | + | 6.09444i | −1.65222 | + | 0.509643i | ||||
\(144\) | 5.32086 | − | 10.0655i | 0.443405 | − | 0.838790i | ||||
\(145\) | 19.3078 | − | 2.91019i | 1.60343 | − | 0.241678i | ||||
\(146\) | 0.574194 | − | 0.994533i | 0.0475206 | − | 0.0823081i | ||||
\(147\) | 12.1206 | − | 0.302191i | 0.999689 | − | 0.0249243i | ||||
\(148\) | −1.43017 | − | 2.47712i | −0.117559 | − | 0.203618i | ||||
\(149\) | −6.52821 | − | 8.18612i | −0.534812 | − | 0.670633i | 0.438868 | − | 0.898551i | \(-0.355380\pi\) |
−0.973680 | + | 0.227918i | \(0.926808\pi\) | |||||||
\(150\) | 4.15977 | − | 1.03145i | 0.339644 | − | 0.0842177i | ||||
\(151\) | 1.83182 | − | 8.02571i | 0.149071 | − | 0.653123i | −0.844073 | − | 0.536228i | \(-0.819849\pi\) |
0.993144 | − | 0.116895i | \(-0.0372941\pi\) | |||||||
\(152\) | −0.194007 | + | 2.58885i | −0.0157361 | + | 0.209983i | ||||
\(153\) | 13.7706 | − | 2.60431i | 1.11329 | − | 0.210546i | ||||
\(154\) | 1.95959 | + | 0.678804i | 0.157909 | + | 0.0546996i | ||||
\(155\) | 0.255740 | − | 3.41262i | 0.0205415 | − | 0.274108i | ||||
\(156\) | 2.78723 | + | 16.4087i | 0.223157 | + | 1.31375i | ||||
\(157\) | 15.8068 | − | 10.7769i | 1.26152 | − | 0.860091i | 0.266906 | − | 0.963723i | \(-0.413999\pi\) |
0.994616 | + | 0.103632i | \(0.0330463\pi\) | |||||||
\(158\) | −2.82280 | + | 0.425469i | −0.224570 | + | 0.0338485i | ||||
\(159\) | −0.121425 | − | 6.50750i | −0.00962964 | − | 0.516078i | ||||
\(160\) | 9.20574 | − | 1.38754i | 0.727778 | − | 0.109695i | ||||
\(161\) | 8.91435 | − | 7.72019i | 0.702549 | − | 0.608436i | ||||
\(162\) | −1.66329 | + | 0.124359i | −0.130680 | + | 0.00977060i | ||||
\(163\) | −18.5914 | + | 12.6754i | −1.45619 | + | 0.992812i | −0.461803 | + | 0.886983i | \(0.652797\pi\) |
−0.994384 | + | 0.105829i | \(0.966250\pi\) | |||||||
\(164\) | −2.84834 | − | 12.4794i | −0.222418 | − | 0.974477i | ||||
\(165\) | −20.9125 | + | 23.3991i | −1.62804 | + | 1.82162i | ||||
\(166\) | −0.295993 | −0.0229735 | ||||||||
\(167\) | 4.39448 | − | 4.07748i | 0.340055 | − | 0.315525i | −0.491596 | − | 0.870823i | \(-0.663586\pi\) |
0.831651 | + | 0.555298i | \(0.187396\pi\) | |||||||
\(168\) | 1.50846 | − | 3.01120i | 0.116380 | − | 0.232319i | ||||
\(169\) | −7.98902 | − | 7.41273i | −0.614540 | − | 0.570210i | ||||
\(170\) | 2.71874 | + | 2.52263i | 0.208518 | + | 0.193477i | ||||
\(171\) | −9.36962 | + | 4.95096i | −0.716513 | + | 0.378610i | ||||
\(172\) | 1.88981 | + | 0.284843i | 0.144097 | + | 0.0217191i | ||||
\(173\) | −11.2286 | + | 3.46358i | −0.853698 | + | 0.263331i | −0.690562 | − | 0.723273i | \(-0.742637\pi\) |
−0.163135 | + | 0.986604i | \(0.552161\pi\) | |||||||
\(174\) | −0.846599 | − | 1.19328i | −0.0641805 | − | 0.0904622i | ||||
\(175\) | −34.0922 | + | 9.24963i | −2.57713 | + | 0.699206i | ||||
\(176\) | −11.7665 | + | 10.9177i | −0.886934 | + | 0.822955i | ||||
\(177\) | −5.13343 | − | 15.6026i | −0.385853 | − | 1.17276i | ||||
\(178\) | −0.942605 | −0.0706513 | ||||||||
\(179\) | −7.83447 | + | 7.26932i | −0.585575 | + | 0.543335i | −0.916352 | − | 0.400375i | \(-0.868880\pi\) |
0.330776 | + | 0.943709i | \(0.392690\pi\) | |||||||
\(180\) | 16.4763 | + | 19.1491i | 1.22807 | + | 1.42729i | ||||
\(181\) | −10.9354 | + | 13.7126i | −0.812825 | + | 1.01925i | 0.186498 | + | 0.982455i | \(0.440286\pi\) |
−0.999323 | + | 0.0367951i | \(0.988285\pi\) | |||||||
\(182\) | 0.453012 | + | 2.35380i | 0.0335794 | + | 0.174476i | ||||
\(183\) | −3.64911 | − | 7.22925i | −0.269750 | − | 0.534402i | ||||
\(184\) | −0.728928 | − | 3.19364i | −0.0537373 | − | 0.235438i | ||||
\(185\) | 6.16406 | − | 0.929083i | 0.453191 | − | 0.0683075i | ||||
\(186\) | −0.236912 | + | 0.0981203i | −0.0173712 | + | 0.00719453i | ||||
\(187\) | −19.5377 | − | 2.94483i | −1.42874 | − | 0.215348i | ||||
\(188\) | −2.55599 | + | 1.23090i | −0.186415 | + | 0.0897726i | ||||
\(189\) | 13.6838 | − | 1.32468i | 0.995347 | − | 0.0963563i | ||||
\(190\) | −2.52670 | − | 1.21679i | −0.183306 | − | 0.0882755i | ||||
\(191\) | 4.61315 | + | 3.14520i | 0.333796 | + | 0.227578i | 0.718606 | − | 0.695418i | \(-0.244781\pi\) |
−0.384810 | + | 0.922996i | \(0.625733\pi\) | |||||||
\(192\) | 7.20347 | + | 10.1533i | 0.519866 | + | 0.732749i | ||||
\(193\) | −1.86450 | + | 24.8800i | −0.134209 | + | 1.79090i | 0.371741 | + | 0.928337i | \(0.378761\pi\) |
−0.505950 | + | 0.862563i | \(0.668858\pi\) | |||||||
\(194\) | −0.788053 | − | 0.988188i | −0.0565789 | − | 0.0709477i | ||||
\(195\) | −35.5077 | − | 7.41029i | −2.54276 | − | 0.530662i | ||||
\(196\) | −5.89222 | + | 12.4341i | −0.420873 | + | 0.888153i | ||||
\(197\) | −19.6014 | −1.39655 | −0.698273 | − | 0.715832i | \(-0.746048\pi\) | ||||
−0.698273 | + | 0.715832i | \(0.746048\pi\) | |||||||
\(198\) | 2.27133 | + | 0.608809i | 0.161416 | + | 0.0432662i | ||||
\(199\) | 14.0130 | + | 9.55388i | 0.993353 | + | 0.677257i | 0.946855 | − | 0.321662i | \(-0.104241\pi\) |
0.0464983 | + | 0.998918i | \(0.485194\pi\) | |||||||
\(200\) | −2.18349 | + | 9.56649i | −0.154396 | + | 0.676453i | ||||
\(201\) | −4.75073 | − | 4.93224i | −0.335091 | − | 0.347893i | ||||
\(202\) | 0.0126385 | + | 0.168650i | 0.000889245 | + | 0.0118662i | ||||
\(203\) | 7.19148 | + | 9.68045i | 0.504743 | + | 0.679434i | ||||
\(204\) | −4.40369 | + | 15.2831i | −0.308320 | + | 1.07003i | ||||
\(205\) | 27.5849 | + | 4.15775i | 1.92661 | + | 0.290390i | ||||
\(206\) | −0.147652 | − | 1.97028i | −0.0102874 | − | 0.137276i | ||||
\(207\) | 9.45598 | − | 9.45435i | 0.657236 | − | 0.657123i | ||||
\(208\) | −17.7285 | − | 5.46851i | −1.22925 | − | 0.379173i | ||||
\(209\) | 14.7735 | − | 2.22675i | 1.02190 | − | 0.154027i | ||||
\(210\) | 2.43265 | + | 2.70525i | 0.167869 | + | 0.186680i | ||||
\(211\) | 1.95631 | + | 0.294867i | 0.134678 | + | 0.0202995i | 0.216035 | − | 0.976386i | \(-0.430687\pi\) |
−0.0813572 | + | 0.996685i | \(0.525925\pi\) | |||||||
\(212\) | 6.65497 | + | 3.20487i | 0.457065 | + | 0.220111i | ||||
\(213\) | 3.21890 | + | 1.77920i | 0.220555 | + | 0.121909i | ||||
\(214\) | 2.57135 | 0.175774 | ||||||||
\(215\) | −2.08255 | + | 3.60708i | −0.142029 | + | 0.246001i | ||||
\(216\) | 1.46186 | − | 3.52797i | 0.0994673 | − | 0.240048i | ||||
\(217\) | 1.93456 | − | 0.851269i | 0.131326 | − | 0.0577879i | ||||
\(218\) | −0.328509 | − | 0.304811i | −0.0222494 | − | 0.0206444i | ||||
\(219\) | −4.47558 | + | 9.75512i | −0.302432 | + | 0.659190i | ||||
\(220\) | −13.0116 | − | 33.1530i | −0.877241 | − | 2.23517i | ||||
\(221\) | −8.34342 | − | 21.2587i | −0.561239 | − | 1.43001i | ||||
\(222\) | −0.270278 | − | 0.380956i | −0.0181399 | − | 0.0255681i | ||||
\(223\) | −9.82203 | − | 9.11351i | −0.657732 | − | 0.610286i | 0.279018 | − | 0.960286i | \(-0.409991\pi\) |
−0.936750 | + | 0.350000i | \(0.886182\pi\) | |||||||
\(224\) | 3.42881 | + | 4.61552i | 0.229097 | + | 0.308387i | ||||
\(225\) | −37.8079 | + | 13.2259i | −2.52052 | + | 0.881727i | ||||
\(226\) | −1.53530 | + | 2.65921i | −0.102127 | + | 0.176888i | ||||
\(227\) | −4.75606 | −0.315671 | −0.157835 | − | 0.987465i | \(-0.550452\pi\) | ||||
−0.157835 | + | 0.987465i | \(0.550452\pi\) | |||||||
\(228\) | −0.224367 | − | 12.0244i | −0.0148591 | − | 0.796337i | ||||
\(229\) | 2.08846 | + | 1.00575i | 0.138009 | + | 0.0664618i | 0.501614 | − | 0.865092i | \(-0.332740\pi\) |
−0.363605 | + | 0.931553i | \(0.618454\pi\) | |||||||
\(230\) | 3.49910 | + | 0.527404i | 0.230724 | + | 0.0347760i | ||||
\(231\) | −18.8264 | − | 4.60729i | −1.23869 | − | 0.303138i | ||||
\(232\) | 3.31244 | − | 0.499270i | 0.217472 | − | 0.0327787i | ||||
\(233\) | 4.32244 | + | 1.33330i | 0.283173 | + | 0.0873472i | 0.433088 | − | 0.901352i | \(-0.357424\pi\) |
−0.149915 | + | 0.988699i | \(0.547900\pi\) | |||||||
\(234\) | 0.703231 | + | 2.62539i | 0.0459716 | + | 0.171627i | ||||
\(235\) | −0.462033 | − | 6.16541i | −0.0301397 | − | 0.402187i | ||||
\(236\) | 18.4325 | + | 2.77825i | 1.19985 | + | 0.180848i | ||||
\(237\) | 25.8956 | − | 6.42105i | 1.68210 | − | 0.417092i | ||||
\(238\) | −0.585909 | + | 2.21439i | −0.0379788 | + | 0.143537i | ||||
\(239\) | −0.274847 | − | 3.66758i | −0.0177784 | − | 0.237236i | −0.999013 | − | 0.0444186i | \(-0.985856\pi\) |
0.981235 | − | 0.192818i | \(-0.0617626\pi\) | |||||||
\(240\) | −27.3315 | + | 6.77709i | −1.76424 | + | 0.437459i | ||||
\(241\) | −3.99703 | + | 17.5121i | −0.257471 | + | 1.12806i | 0.666473 | + | 0.745529i | \(0.267803\pi\) |
−0.923944 | + | 0.382527i | \(0.875054\pi\) | |||||||
\(242\) | −1.05482 | − | 0.719162i | −0.0678062 | − | 0.0462295i | ||||
\(243\) | 15.3688 | − | 2.60787i | 0.985907 | − | 0.167295i | ||||
\(244\) | 9.19022 | 0.588343 | ||||||||
\(245\) | −20.5338 | − | 21.8537i | −1.31186 | − | 1.39618i | ||||
\(246\) | −0.653286 | − | 1.98560i | −0.0416520 | − | 0.126597i | ||||
\(247\) | 10.7668 | + | 13.5011i | 0.685073 | + | 0.859054i | ||||
\(248\) | 0.0438747 | − | 0.585467i | 0.00278604 | − | 0.0371772i | ||||
\(249\) | 2.75427 | − | 0.258157i | 0.174545 | − | 0.0163601i | ||||
\(250\) | −5.47824 | − | 3.73500i | −0.346474 | − | 0.236222i | ||||
\(251\) | 2.28689 | + | 1.10131i | 0.144347 | + | 0.0695140i | 0.504663 | − | 0.863316i | \(-0.331617\pi\) |
−0.360316 | + | 0.932830i | \(0.617331\pi\) | |||||||
\(252\) | −5.65570 | + | 14.5407i | −0.356276 | + | 0.915979i | ||||
\(253\) | −16.9849 | + | 8.17947i | −1.06783 | + | 0.514239i | ||||
\(254\) | −1.07758 | − | 0.162419i | −0.0676136 | − | 0.0101911i | ||||
\(255\) | −27.4986 | − | 21.1023i | −1.72203 | − | 1.32148i | ||||
\(256\) | −13.1738 | + | 1.98562i | −0.823360 | + | 0.124102i | ||||
\(257\) | −3.13306 | − | 13.7268i | −0.195435 | − | 0.856255i | −0.973612 | − | 0.228210i | \(-0.926713\pi\) |
0.778177 | − | 0.628045i | \(-0.216145\pi\) | |||||||
\(258\) | 0.311602 | + | 0.0175126i | 0.0193995 | + | 0.00109029i | ||||
\(259\) | 2.29589 | + | 3.09050i | 0.142660 | + | 0.192034i | ||||
\(260\) | 25.6658 | − | 32.1840i | 1.59173 | − | 1.99596i | ||||
\(261\) | 8.91852 | + | 10.3653i | 0.552042 | + | 0.641596i | ||||
\(262\) | −2.15031 | + | 1.99519i | −0.132846 | + | 0.123263i | ||||
\(263\) | 8.90791 | 0.549285 | 0.274642 | − | 0.961546i | \(-0.411440\pi\) | ||||
0.274642 | + | 0.961546i | \(0.411440\pi\) | |||||||
\(264\) | −3.58774 | + | 4.01434i | −0.220810 | + | 0.247066i | ||||
\(265\) | −11.8005 | + | 10.9492i | −0.724898 | + | 0.672607i | ||||
\(266\) | −0.0701885 | − | 1.73061i | −0.00430353 | − | 0.106111i | ||||
\(267\) | 8.77113 | − | 0.822117i | 0.536784 | − | 0.0503128i | ||||
\(268\) | 7.42643 | − | 2.29075i | 0.453641 | − | 0.139930i | ||||
\(269\) | 19.7035 | + | 2.96983i | 1.20134 | + | 0.181074i | 0.719064 | − | 0.694944i | \(-0.244571\pi\) |
0.482280 | + | 0.876017i | \(0.339809\pi\) | |||||||
\(270\) | 2.97068 | + | 2.86234i | 0.180790 | + | 0.174196i | ||||
\(271\) | 9.66510 | + | 8.96791i | 0.587113 | + | 0.544762i | 0.916809 | − | 0.399326i | \(-0.130756\pi\) |
−0.329696 | + | 0.944087i | \(0.606946\pi\) | |||||||
\(272\) | −12.9963 | − | 12.0588i | −0.788019 | − | 0.731174i | ||||
\(273\) | −6.26829 | − | 21.5075i | −0.379374 | − | 1.30169i | ||||
\(274\) | 0.234647 | − | 0.217721i | 0.0141755 | − | 0.0131530i | ||||
\(275\) | 56.4701 | 3.40528 | ||||||||
\(276\) | 4.74268 | + | 14.4149i | 0.285476 | + | 0.867676i | ||||
\(277\) | 2.05486 | + | 9.00293i | 0.123465 | + | 0.540933i | 0.998392 | + | 0.0566801i | \(0.0180515\pi\) |
−0.874928 | + | 0.484253i | \(0.839091\pi\) | |||||||
\(278\) | −0.986555 | + | 0.672622i | −0.0591696 | + | 0.0403412i | ||||
\(279\) | 2.11894 | − | 1.11966i | 0.126857 | − | 0.0670321i | ||||
\(280\) | −8.03918 | + | 2.18113i | −0.480433 | + | 0.130347i | ||||
\(281\) | 7.78957 | − | 1.17409i | 0.464687 | − | 0.0700403i | 0.0874740 | − | 0.996167i | \(-0.472121\pi\) |
0.377213 | + | 0.926126i | \(0.376882\pi\) | |||||||
\(282\) | −0.396817 | + | 0.239082i | −0.0236301 | + | 0.0142371i | ||||
\(283\) | 6.15963 | − | 0.928415i | 0.366152 | − | 0.0551885i | 0.0366104 | − | 0.999330i | \(-0.488344\pi\) |
0.329542 | + | 0.944141i | \(0.393106\pi\) | |||||||
\(284\) | −3.44867 | + | 2.35126i | −0.204641 | + | 0.139522i | ||||
\(285\) | 24.5727 | + | 9.11878i | 1.45556 | + | 0.540150i | ||||
\(286\) | 0.286354 | − | 3.82113i | 0.0169325 | − | 0.225948i | ||||
\(287\) | 5.74136 | + | 16.2443i | 0.338902 | + | 0.958873i | ||||
\(288\) | 4.25224 | + | 4.94205i | 0.250566 | + | 0.291213i | ||||
\(289\) | 0.360462 | − | 4.81003i | 0.0212036 | − | 0.282943i | ||||
\(290\) | −0.805226 | + | 3.52793i | −0.0472845 | + | 0.207167i | ||||
\(291\) | 8.19486 | + | 8.50796i | 0.480391 | + | 0.498745i | ||||
\(292\) | −7.59433 | − | 9.52298i | −0.444424 | − | 0.557290i | ||||
\(293\) | 14.0142 | + | 24.2733i | 0.818718 | + | 1.41806i | 0.906627 | + | 0.421933i | \(0.138648\pi\) |
−0.0879089 | + | 0.996129i | \(0.528018\pi\) | |||||||
\(294\) | −0.768518 | + | 2.11144i | −0.0448209 | + | 0.123142i | ||||
\(295\) | −20.3123 | + | 35.1820i | −1.18263 | + | 2.04838i | ||||
\(296\) | 1.05750 | − | 0.159393i | 0.0614662 | − | 0.00926453i | ||||
\(297\) | −21.6661 | − | 3.68409i | −1.25720 | − | 0.213773i | ||||
\(298\) | 1.85423 | − | 0.571955i | 0.107413 | − | 0.0331325i | ||||
\(299\) | −18.0033 | − | 12.2744i | −1.04116 | − | 0.709849i | ||||
\(300\) | 5.93521 | − | 45.0675i | 0.342670 | − | 2.60197i | ||||
\(301\) | −2.57089 | − | 0.0881260i | −0.148184 | − | 0.00507950i | ||||
\(302\) | 1.26053 | + | 0.859413i | 0.0725352 | + | 0.0494537i | ||||
\(303\) | −0.264696 | − | 1.55830i | −0.0152064 | − | 0.0895217i | ||||
\(304\) | 12.0783 | + | 5.81660i | 0.692738 | + | 0.333605i | ||||
\(305\) | −7.31733 | + | 18.6443i | −0.418989 | + | 1.06757i | ||||
\(306\) | −0.483084 | + | 2.55196i | −0.0276161 | + | 0.145886i | ||||
\(307\) | −6.39420 | − | 8.01808i | −0.364936 | − | 0.457616i | 0.565133 | − | 0.825000i | \(-0.308825\pi\) |
−0.930069 | + | 0.367384i | \(0.880253\pi\) | |||||||
\(308\) | 14.2954 | − | 16.7173i | 0.814558 | − | 0.952557i | ||||
\(309\) | 3.09237 | + | 18.2051i | 0.175919 | + | 1.03565i | ||||
\(310\) | 0.571411 | + | 0.275177i | 0.0324540 | + | 0.0156290i | ||||
\(311\) | 5.30477 | + | 1.63630i | 0.300806 | + | 0.0927863i | 0.441484 | − | 0.897269i | \(-0.354452\pi\) |
−0.140678 | + | 0.990055i | \(0.544928\pi\) | |||||||
\(312\) | −6.09168 | − | 1.27131i | −0.344874 | − | 0.0719736i | ||||
\(313\) | −3.92579 | − | 6.79966i | −0.221898 | − | 0.384339i | 0.733486 | − | 0.679705i | \(-0.237892\pi\) |
−0.955384 | + | 0.295365i | \(0.904559\pi\) | |||||||
\(314\) | 0.788943 | + | 3.45658i | 0.0445226 | + | 0.195066i | ||||
\(315\) | −24.9957 | − | 23.0512i | −1.40835 | − | 1.29879i | ||||
\(316\) | −6.73753 | + | 29.5190i | −0.379016 | + | 1.66058i | ||||
\(317\) | 3.86395 | − | 1.19187i | 0.217021 | − | 0.0669421i | −0.184338 | − | 0.982863i | \(-0.559014\pi\) |
0.401359 | + | 0.915921i | \(0.368538\pi\) | |||||||
\(318\) | 1.13086 | + | 0.419656i | 0.0634156 | + | 0.0235332i | ||||
\(319\) | −7.04309 | − | 17.9455i | −0.394337 | − | 1.00475i | ||||
\(320\) | 6.85144 | − | 30.0181i | 0.383007 | − | 1.67806i | ||||
\(321\) | −23.9269 | + | 2.24267i | −1.33547 | + | 0.125174i | ||||
\(322\) | 0.728283 | + | 2.06057i | 0.0405856 | + | 0.114831i | ||||
\(323\) | 3.67202 | + | 16.0882i | 0.204317 | + | 0.895171i | ||||
\(324\) | −5.21738 | + | 16.9040i | −0.289854 | + | 0.939113i | ||||
\(325\) | 32.6350 | + | 56.5254i | 1.81026 | + | 3.13547i | ||||
\(326\) | −0.927923 | − | 4.06550i | −0.0513929 | − | 0.225167i | ||||
\(327\) | 3.32268 | + | 2.54981i | 0.183745 | + | 0.141005i | ||||
\(328\) | 4.73245 | + | 0.713303i | 0.261306 | + | 0.0393855i | ||||
\(329\) | 3.22682 | − | 2.04168i | 0.177900 | − | 0.112562i | ||||
\(330\) | −2.62077 | − | 5.19201i | −0.144268 | − | 0.285811i | ||||
\(331\) | −3.17363 | + | 2.94470i | −0.174439 | + | 0.161855i | −0.762560 | − | 0.646917i | \(-0.776058\pi\) |
0.588122 | + | 0.808772i | \(0.299868\pi\) | |||||||
\(332\) | −1.14697 | + | 2.92242i | −0.0629480 | + | 0.160389i | ||||
\(333\) | 2.84725 | + | 3.30914i | 0.156029 | + | 0.181340i | ||||
\(334\) | 0.405889 | + | 1.03419i | 0.0222093 | + | 0.0565883i | ||||
\(335\) | −1.26573 | + | 16.8900i | −0.0691541 | + | 0.922797i | ||||
\(336\) | −11.6287 | − | 12.9318i | −0.634398 | − | 0.705490i | ||||
\(337\) | 2.42806 | + | 32.4002i | 0.132265 | + | 1.76495i | 0.530517 | + | 0.847674i | \(0.321998\pi\) |
−0.398253 | + | 0.917276i | \(0.630383\pi\) | |||||||
\(338\) | 1.81972 | − | 0.876331i | 0.0989797 | − | 0.0476661i | ||||
\(339\) | 11.9669 | − | 26.0836i | 0.649955 | − | 1.41666i | ||||
\(340\) | 35.4417 | − | 17.0678i | 1.92210 | − | 0.925633i | ||||
\(341\) | −3.34102 | + | 0.503577i | −0.180926 | + | 0.0272703i | ||||
\(342\) | −0.219725 | − | 1.95161i | −0.0118814 | − | 0.105531i | ||||
\(343\) | 5.95218 | − | 17.5377i | 0.321388 | − | 0.946948i | ||||
\(344\) | −0.357281 | + | 0.618829i | −0.0192633 | + | 0.0333650i | ||||
\(345\) | −33.0198 | − | 1.85577i | −1.77773 | − | 0.0999114i | ||||
\(346\) | 0.162740 | − | 2.17162i | 0.00874897 | − | 0.116747i | ||||
\(347\) | −13.4330 | − | 12.4640i | −0.721124 | − | 0.669105i | 0.231646 | − | 0.972800i | \(-0.425589\pi\) |
−0.952769 | + | 0.303695i | \(0.901780\pi\) | |||||||
\(348\) | −15.0621 | + | 3.73479i | −0.807416 | + | 0.200206i | ||||
\(349\) | −7.38770 | + | 5.03685i | −0.395455 | + | 0.269616i | −0.744679 | − | 0.667423i | \(-0.767397\pi\) |
0.349224 | + | 0.937039i | \(0.386445\pi\) | |||||||
\(350\) | 0.712587 | − | 6.50768i | 0.0380894 | − | 0.347850i | ||||
\(351\) | −8.83350 | − | 23.8165i | −0.471497 | − | 1.27123i | ||||
\(352\) | −3.35806 | − | 8.55620i | −0.178985 | − | 0.456047i | ||||
\(353\) | 18.1172 | + | 8.72476i | 0.964279 | + | 0.464372i | 0.848670 | − | 0.528922i | \(-0.177404\pi\) |
0.115609 | + | 0.993295i | \(0.463118\pi\) | |||||||
\(354\) | 3.03925 | + | 0.170811i | 0.161534 | + | 0.00907851i | ||||
\(355\) | −2.02416 | − | 8.86842i | −0.107431 | − | 0.470687i | ||||
\(356\) | −3.65258 | + | 9.30662i | −0.193586 | + | 0.493250i | ||||
\(357\) | 3.52066 | − | 21.1163i | 0.186333 | − | 1.11759i | ||||
\(358\) | −0.723617 | − | 1.84375i | −0.0382444 | − | 0.0974450i | ||||
\(359\) | −11.9315 | + | 8.13478i | −0.629722 | + | 0.429338i | −0.835675 | − | 0.549225i | \(-0.814923\pi\) |
0.205952 | + | 0.978562i | \(0.433971\pi\) | |||||||
\(360\) | −8.91536 | + | 3.11876i | −0.469881 | + | 0.164373i | ||||
\(361\) | 3.26101 | + | 5.64823i | 0.171632 | + | 0.297275i | ||||
\(362\) | −1.62522 | − | 2.81497i | −0.0854198 | − | 0.147951i | ||||
\(363\) | 10.4425 | + | 5.77196i | 0.548090 | + | 0.302949i | ||||
\(364\) | 24.9952 | + | 4.64824i | 1.31011 | + | 0.243634i | ||||
\(365\) | 25.3660 | − | 7.82438i | 1.32772 | − | 0.409547i | ||||
\(366\) | 1.49422 | − | 0.140054i | 0.0781043 | − | 0.00732071i | ||||
\(367\) | 20.4168 | − | 25.6018i | 1.06575 | − | 1.33641i | 0.126961 | − | 0.991908i | \(-0.459478\pi\) |
0.938787 | − | 0.344498i | \(-0.111951\pi\) | |||||||
\(368\) | −16.7266 | − | 2.52114i | −0.871936 | − | 0.131423i | ||||
\(369\) | 7.81074 | + | 17.9066i | 0.406611 | + | 0.932180i | ||||
\(370\) | −0.257070 | + | 1.12630i | −0.0133644 | + | 0.0585534i | ||||
\(371\) | −9.39443 | − | 3.25423i | −0.487735 | − | 0.168951i | ||||
\(372\) | 0.0507404 | + | 2.71932i | 0.00263077 | + | 0.140990i | ||||
\(373\) | −19.3449 | −1.00164 | −0.500820 | − | 0.865552i | \(-0.666968\pi\) | ||||
−0.500820 | + | 0.865552i | \(0.666968\pi\) | |||||||
\(374\) | 1.83087 | − | 3.17116i | 0.0946720 | − | 0.163977i | ||||
\(375\) | 54.2336 | + | 29.9769i | 2.80061 | + | 1.54800i | ||||
\(376\) | −0.0792663 | − | 1.05773i | −0.00408785 | − | 0.0545485i | ||||
\(377\) | 13.8928 | − | 17.4210i | 0.715513 | − | 0.897225i | ||||
\(378\) | −0.697960 | + | 2.45034i | −0.0358992 | + | 0.126032i | ||||
\(379\) | −17.5700 | − | 22.0321i | −0.902511 | − | 1.13171i | −0.990762 | − | 0.135614i | \(-0.956699\pi\) |
0.0882511 | − | 0.996098i | \(-0.471872\pi\) | |||||||
\(380\) | −21.8047 | + | 20.2318i | −1.11856 | + | 1.03787i | ||||
\(381\) | 10.1688 | + | 0.571504i | 0.520962 | + | 0.0292790i | ||||
\(382\) | −0.854936 | + | 0.582886i | −0.0437423 | + | 0.0298230i | ||||
\(383\) | −3.40460 | + | 4.26923i | −0.173967 | + | 0.218148i | −0.861169 | − | 0.508319i | \(-0.830267\pi\) |
0.687202 | + | 0.726466i | \(0.258839\pi\) | |||||||
\(384\) | −9.54625 | + | 2.36708i | −0.487155 | + | 0.120794i | ||||
\(385\) | 22.5324 | + | 42.3117i | 1.14836 | + | 2.15640i | ||||
\(386\) | −4.16593 | − | 2.00620i | −0.212040 | − | 0.102113i | ||||
\(387\) | −2.91479 | + | 0.108814i | −0.148167 | + | 0.00553131i | ||||
\(388\) | −12.8104 | + | 3.95147i | −0.650348 | + | 0.200606i | ||||
\(389\) | 0.830190 | − | 0.399798i | 0.0420923 | − | 0.0202706i | −0.412719 | − | 0.910858i | \(-0.635421\pi\) |
0.454811 | + | 0.890588i | \(0.349707\pi\) | |||||||
\(390\) | 3.68251 | − | 5.62387i | 0.186471 | − | 0.284776i | ||||
\(391\) | −10.4111 | − | 18.0325i | −0.526510 | − | 0.911943i | ||||
\(392\) | −3.52277 | − | 3.74922i | −0.177927 | − | 0.189364i | ||||
\(393\) | 18.2689 | − | 20.4411i | 0.921542 | − | 1.03112i | ||||
\(394\) | 1.32716 | − | 3.38154i | 0.0668612 | − | 0.170360i | ||||
\(395\) | −54.5210 | − | 37.1718i | −2.74325 | − | 1.87032i | ||||
\(396\) | 14.8123 | − | 20.0664i | 0.744347 | − | 1.00837i | ||||
\(397\) | 1.01983 | − | 13.6087i | 0.0511839 | − | 0.683002i | −0.911314 | − | 0.411712i | \(-0.864931\pi\) |
0.962498 | − | 0.271289i | \(-0.0874500\pi\) | |||||||
\(398\) | −2.59696 | + | 1.77058i | −0.130174 | + | 0.0887512i | ||||
\(399\) | 2.16252 | + | 16.0425i | 0.108261 | + | 0.803129i | ||||
\(400\) | 41.8658 | + | 28.5436i | 2.09329 | + | 1.42718i | ||||
\(401\) | 1.91459 | − | 2.40083i | 0.0956103 | − | 0.119891i | −0.731725 | − | 0.681600i | \(-0.761284\pi\) |
0.827335 | + | 0.561709i | \(0.189856\pi\) | |||||||
\(402\) | 1.17254 | − | 0.485624i | 0.0584811 | − | 0.0242207i | ||||
\(403\) | −2.43490 | − | 3.05326i | −0.121291 | − | 0.152094i | ||||
\(404\) | 1.71410 | + | 0.528731i | 0.0852798 | + | 0.0263053i | ||||
\(405\) | −30.1392 | − | 24.0437i | −1.49763 | − | 1.19474i | ||||
\(406\) | −2.15694 | + | 0.585202i | −0.107047 | + | 0.0290431i | ||||
\(407\) | −2.24852 | − | 5.72914i | −0.111455 | − | 0.283983i | ||||
\(408\) | −4.71765 | − | 3.62030i | −0.233559 | − | 0.179232i | ||||
\(409\) | 0.790131 | + | 0.243723i | 0.0390694 | + | 0.0120513i | 0.314228 | − | 0.949347i | \(-0.398254\pi\) |
−0.275159 | + | 0.961399i | \(0.588730\pi\) | |||||||
\(410\) | −2.58497 | + | 4.47730i | −0.127662 | + | 0.221118i | ||||
\(411\) | −1.99355 | + | 2.23059i | −0.0983344 | + | 0.110027i | ||||
\(412\) | −20.0253 | − | 6.17700i | −0.986577 | − | 0.304319i | ||||
\(413\) | −25.0754 | − | 0.859546i | −1.23388 | − | 0.0422955i | ||||
\(414\) | 0.990780 | + | 2.27142i | 0.0486942 | + | 0.111634i | ||||
\(415\) | −5.01551 | − | 4.65372i | −0.246202 | − | 0.228442i | ||||
\(416\) | 6.62390 | − | 8.30611i | 0.324764 | − | 0.407241i | ||||
\(417\) | 8.59344 | − | 7.11933i | 0.420823 | − | 0.348635i | ||||
\(418\) | −0.616124 | + | 2.69942i | −0.0301356 | + | 0.132033i | ||||
\(419\) | −7.46762 | + | 2.30346i | −0.364817 | + | 0.112531i | −0.471744 | − | 0.881736i | \(-0.656375\pi\) |
0.106927 | + | 0.994267i | \(0.465899\pi\) | |||||||
\(420\) | 36.1362 | − | 13.5354i | 1.76327 | − | 0.660462i | ||||
\(421\) | 19.9171 | + | 6.14360i | 0.970698 | + | 0.299421i | 0.739253 | − | 0.673427i | \(-0.235179\pi\) |
0.231445 | + | 0.972848i | \(0.425655\pi\) | |||||||
\(422\) | −0.183325 | + | 0.317528i | −0.00892412 | + | 0.0154570i | ||||
\(423\) | 3.48393 | − | 2.57080i | 0.169395 | − | 0.124996i | ||||
\(424\) | −2.02449 | + | 1.87845i | −0.0983177 | + | 0.0912255i | ||||
\(425\) | 4.66109 | + | 62.1979i | 0.226096 | + | 3.01704i | ||||
\(426\) | −0.524882 | + | 0.434844i | −0.0254306 | + | 0.0210682i | ||||
\(427\) | −12.2878 | + | 1.42352i | −0.594646 | + | 0.0688890i | ||||
\(428\) | 9.96395 | − | 25.3877i | 0.481626 | − | 1.22716i | ||||
\(429\) | 0.668116 | + | 35.8062i | 0.0322569 | + | 1.72874i | ||||
\(430\) | −0.481271 | − | 0.603495i | −0.0232090 | − | 0.0291031i | ||||
\(431\) | −2.42083 | − | 32.3038i | −0.116608 | − | 1.55602i | −0.682096 | − | 0.731263i | \(-0.738931\pi\) |
0.565488 | − | 0.824756i | \(-0.308688\pi\) | |||||||
\(432\) | −14.2007 | − | 13.6828i | −0.683229 | − | 0.658312i | ||||
\(433\) | 23.5967 | − | 11.3636i | 1.13399 | − | 0.546099i | 0.229800 | − | 0.973238i | \(-0.426193\pi\) |
0.904186 | + | 0.427139i | \(0.140479\pi\) | |||||||
\(434\) | 0.0158731 | + | 0.391377i | 0.000761933 | + | 0.0187867i | ||||
\(435\) | 4.41582 | − | 33.5303i | 0.211722 | − | 1.60766i | ||||
\(436\) | −4.28246 | + | 2.06232i | −0.205093 | + | 0.0987674i | ||||
\(437\) | 11.5417 | + | 10.7091i | 0.552114 | + | 0.512287i | ||||
\(438\) | −1.37987 | − | 1.43259i | −0.0659330 | − | 0.0684520i | ||||
\(439\) | 3.00448 | − | 7.65530i | 0.143396 | − | 0.365367i | −0.841074 | − | 0.540920i | \(-0.818076\pi\) |
0.984470 | + | 0.175553i | \(0.0561713\pi\) | |||||||
\(440\) | 13.3160 | 0.634818 | ||||||||
\(441\) | 5.30966 | − | 20.3177i | 0.252841 | − | 0.967508i | ||||
\(442\) | 4.23235 | 0.201312 | ||||||||
\(443\) | −4.78912 | + | 12.2025i | −0.227538 | + | 0.579757i | −0.998357 | − | 0.0572966i | \(-0.981752\pi\) |
0.770819 | + | 0.637054i | \(0.219847\pi\) | |||||||
\(444\) | −4.80862 | + | 1.19234i | −0.228207 | + | 0.0565859i | ||||
\(445\) | −15.9722 | − | 14.8200i | −0.757154 | − | 0.702537i | ||||
\(446\) | 2.23724 | − | 1.07740i | 0.105936 | − | 0.0510162i | ||||
\(447\) | −16.7552 | + | 6.93937i | −0.792492 | + | 0.328221i | ||||
\(448\) | 18.3528 | − | 4.97932i | 0.867086 | − | 0.235251i | ||||
\(449\) | 27.0243 | − | 13.0142i | 1.27536 | − | 0.614179i | 0.331163 | − | 0.943573i | \(-0.392559\pi\) |
0.944192 | + | 0.329394i | \(0.106845\pi\) | |||||||
\(450\) | 0.278195 | − | 7.41791i | 0.0131143 | − | 0.349684i | ||||
\(451\) | −2.05825 | − | 27.4655i | −0.0969193 | − | 1.29330i | ||||
\(452\) | 20.3060 | + | 25.4629i | 0.955112 | + | 1.19767i | ||||
\(453\) | −12.4790 | − | 6.89760i | −0.586315 | − | 0.324078i | ||||
\(454\) | 0.322019 | − | 0.820491i | 0.0151131 | − | 0.0385076i | ||||
\(455\) | −29.3313 | + | 47.0070i | −1.37507 | + | 2.20372i | ||||
\(456\) | 4.21568 | + | 1.56441i | 0.197417 | + | 0.0732604i | ||||
\(457\) | −2.88895 | − | 38.5504i | −0.135140 | − | 1.80331i | −0.493517 | − | 0.869736i | \(-0.664289\pi\) |
0.358378 | − | 0.933577i | \(-0.383330\pi\) | |||||||
\(458\) | −0.314910 | + | 0.292194i | −0.0147148 | + | 0.0136533i | ||||
\(459\) | 2.26943 | − | 24.1678i | 0.105928 | − | 1.12806i | ||||
\(460\) | 18.7662 | − | 32.5040i | 0.874977 | − | 1.51550i | ||||
\(461\) | 1.21086 | + | 0.373502i | 0.0563956 | + | 0.0173957i | 0.322825 | − | 0.946459i | \(-0.395368\pi\) |
−0.266429 | + | 0.963855i | \(0.585844\pi\) | |||||||
\(462\) | 2.06951 | − | 2.93590i | 0.0962824 | − | 0.136590i | ||||
\(463\) | −9.01582 | + | 2.78101i | −0.419001 | + | 0.129245i | −0.497084 | − | 0.867702i | \(-0.665596\pi\) |
0.0780836 | + | 0.996947i | \(0.475120\pi\) | |||||||
\(464\) | 3.84920 | − | 16.8644i | 0.178695 | − | 0.782912i | ||||
\(465\) | −5.55710 | − | 2.06221i | −0.257704 | − | 0.0956326i | ||||
\(466\) | −0.522674 | + | 0.655412i | −0.0242124 | + | 0.0303614i | ||||
\(467\) | 27.3511 | + | 25.3781i | 1.26566 | + | 1.17436i | 0.976129 | + | 0.217190i | \(0.0696892\pi\) |
0.289529 | + | 0.957169i | \(0.406501\pi\) | |||||||
\(468\) | 28.6463 | + | 3.23015i | 1.32418 | + | 0.149314i | ||||
\(469\) | −9.57467 | + | 4.21316i | −0.442117 | + | 0.194546i | ||||
\(470\) | 1.09491 | + | 0.337734i | 0.0505043 | + | 0.0155785i | ||||
\(471\) | −10.3560 | − | 31.4761i | −0.477180 | − | 1.45034i | ||||
\(472\) | −3.48478 | + | 6.03581i | −0.160400 | + | 0.277821i | ||||
\(473\) | 3.92954 | + | 1.21210i | 0.180681 | + | 0.0557326i | ||||
\(474\) | −0.645592 | + | 4.90213i | −0.0296530 | + | 0.225162i | ||||
\(475\) | −17.2306 | − | 43.9028i | −0.790594 | − | 2.01440i | ||||
\(476\) | 19.5929 | + | 14.3656i | 0.898039 | + | 0.658445i | ||||
\(477\) | −10.8889 | − | 2.91867i | −0.498569 | − | 0.133637i | ||||
\(478\) | 0.651322 | + | 0.200906i | 0.0297908 | + | 0.00918923i | ||||
\(479\) | −10.4057 | − | 13.0484i | −0.475450 | − | 0.596196i | 0.485046 | − | 0.874489i | \(-0.338803\pi\) |
−0.960496 | + | 0.278293i | \(0.910231\pi\) | |||||||
\(480\) | 2.10541 | − | 15.9869i | 0.0960983 | − | 0.729697i | ||||
\(481\) | 4.43529 | − | 5.56168i | 0.202232 | − | 0.253591i | ||||
\(482\) | −2.75048 | − | 1.87524i | −0.125281 | − | 0.0854150i | ||||
\(483\) | −8.57399 | − | 18.5388i | −0.390130 | − | 0.843545i | ||||
\(484\) | −11.1879 | + | 7.62778i | −0.508541 | + | 0.346717i | ||||
\(485\) | 2.18334 | − | 29.1347i | 0.0991404 | − | 1.32294i | ||||
\(486\) | −0.590678 | + | 2.82791i | −0.0267937 | + | 0.128277i | ||||
\(487\) | −31.1831 | − | 21.2603i | −1.41304 | − | 0.963394i | −0.998577 | − | 0.0533277i | \(-0.983017\pi\) |
−0.414462 | − | 0.910066i | \(-0.636030\pi\) | |||||||
\(488\) | −1.25536 | + | 3.19860i | −0.0568274 | + | 0.144794i | ||||
\(489\) | 12.1803 | + | 37.0209i | 0.550814 | + | 1.67414i | ||||
\(490\) | 5.16038 | − | 2.06273i | 0.233122 | − | 0.0931847i | ||||
\(491\) | −20.8590 | − | 36.1288i | −0.941353 | − | 1.63047i | −0.762894 | − | 0.646523i | \(-0.776222\pi\) |
−0.178459 | − | 0.983947i | \(-0.557111\pi\) | |||||||
\(492\) | −22.1359 | − | 1.24408i | −0.997962 | − | 0.0560873i | ||||
\(493\) | 19.1844 | − | 9.23871i | 0.864021 | − | 0.416091i | ||||
\(494\) | −3.05813 | + | 0.943307i | −0.137592 | + | 0.0424414i | ||||
\(495\) | 28.9151 | + | 46.0269i | 1.29964 | + | 2.06875i | ||||
\(496\) | −2.73150 | − | 1.31542i | −0.122648 | − | 0.0590642i | ||||
\(497\) | 4.24683 | − | 3.67793i | 0.190496 | − | 0.164978i | ||||
\(498\) | −0.141948 | + | 0.492631i | −0.00636082 | + | 0.0220753i | ||||
\(499\) | −15.0302 | + | 18.8472i | −0.672842 | + | 0.843718i | −0.994673 | − | 0.103080i | \(-0.967130\pi\) |
0.321831 | + | 0.946797i | \(0.395702\pi\) | |||||||
\(500\) | −58.1048 | + | 39.6152i | −2.59853 | + | 1.77165i | ||||
\(501\) | −4.67887 | − | 9.26932i | −0.209036 | − | 0.414123i | ||||
\(502\) | −0.344831 | + | 0.319956i | −0.0153906 | + | 0.0142803i | ||||
\(503\) | 25.4320 | + | 31.8908i | 1.13396 | + | 1.42194i | 0.892222 | + | 0.451597i | \(0.149146\pi\) |
0.241736 | + | 0.970342i | \(0.422283\pi\) | |||||||
\(504\) | −4.28825 | − | 3.95465i | −0.191014 | − | 0.176154i | ||||
\(505\) | −2.43742 | + | 3.05643i | −0.108464 | + | 0.136009i | ||||
\(506\) | −0.261086 | − | 3.48395i | −0.0116067 | − | 0.154880i | ||||
\(507\) | −16.1685 | + | 9.74154i | −0.718070 | + | 0.432637i | ||||
\(508\) | −5.77923 | + | 10.0099i | −0.256412 | + | 0.444118i | ||||
\(509\) | −28.0201 | −1.24197 | −0.620985 | − | 0.783822i | \(-0.713267\pi\) | ||||
−0.620985 | + | 0.783822i | \(0.713267\pi\) | |||||||
\(510\) | 5.50231 | − | 3.31515i | 0.243647 | − | 0.146797i | ||||
\(511\) | 11.6290 | + | 11.5564i | 0.514439 | + | 0.511223i | ||||
\(512\) | 3.07655 | − | 13.4792i | 0.135966 | − | 0.595704i | ||||
\(513\) | 3.74673 | + | 17.9685i | 0.165422 | + | 0.793329i | ||||
\(514\) | 2.58021 | + | 0.388904i | 0.113808 | + | 0.0171538i | ||||
\(515\) | 28.4757 | − | 35.7073i | 1.25479 | − | 1.57345i | ||||
\(516\) | 1.38036 | − | 3.00868i | 0.0607670 | − | 0.132450i | ||||
\(517\) | −5.83304 | + | 1.79926i | −0.256537 | + | 0.0791312i | ||||
\(518\) | −0.688606 | + | 0.186827i | −0.0302556 | + | 0.00820871i | ||||
\(519\) | 0.379702 | + | 20.3493i | 0.0166671 | + | 0.893233i | ||||
\(520\) | 7.69555 | + | 13.3291i | 0.337472 | + | 0.584519i | ||||
\(521\) | −11.4066 | − | 19.7569i | −0.499734 | − | 0.865564i | 0.500266 | − | 0.865872i | \(-0.333235\pi\) |
−1.00000 | 0.000307487i | \(0.999902\pi\) | ||||||||
\(522\) | −2.39202 | + | 0.836772i | −0.104696 | + | 0.0366245i | ||||
\(523\) | −12.0501 | + | 8.21564i | −0.526915 | + | 0.359245i | −0.797373 | − | 0.603487i | \(-0.793777\pi\) |
0.270457 | + | 0.962732i | \(0.412825\pi\) | |||||||
\(524\) | 11.3667 | + | 28.9619i | 0.496558 | + | 1.26521i | ||||
\(525\) | −0.954920 | + | 61.1767i | −0.0416761 | + | 2.66997i | ||||
\(526\) | −0.603128 | + | 1.53675i | −0.0262977 | + | 0.0670053i | ||||
\(527\) | −0.830426 | − | 3.63833i | −0.0361739 | − | 0.158488i | ||||
\(528\) | 12.5280 | + | 24.8192i | 0.545210 | + | 1.08012i | ||||
\(529\) | 2.82301 | + | 1.35949i | 0.122739 | + | 0.0591082i | ||||
\(530\) | −1.08993 | − | 2.77710i | −0.0473436 | − | 0.120629i | ||||
\(531\) | −28.4298 | + | 1.06133i | −1.23375 | + | 0.0460576i | ||||
\(532\) | −17.3588 | − | 6.01311i | −0.752601 | − | 0.260701i | ||||
\(533\) | 26.3028 | − | 17.9330i | 1.13930 | − | 0.776764i | ||||
\(534\) | −0.452040 | + | 1.56881i | −0.0195617 | + | 0.0678892i | ||||
\(535\) | 43.5709 | + | 40.4278i | 1.88373 | + | 1.74785i | ||||
\(536\) | −0.217148 | + | 2.89764i | −0.00937936 | + | 0.125159i | ||||
\(537\) | 8.34147 | + | 16.5253i | 0.359961 | + | 0.713119i | ||||
\(538\) | −1.84641 | + | 3.19807i | −0.0796043 | + | 0.137879i | ||||
\(539\) | −16.5242 | + | 24.5661i | −0.711749 | + | 1.05814i | ||||
\(540\) | 39.7721 | − | 18.2389i | 1.71152 | − | 0.784876i | ||||
\(541\) | −29.9538 | + | 4.51480i | −1.28781 | + | 0.194107i | −0.757018 | − | 0.653394i | \(-0.773345\pi\) |
−0.530795 | + | 0.847500i | \(0.678107\pi\) | |||||||
\(542\) | −2.20149 | + | 1.06018i | −0.0945622 | + | 0.0455388i | ||||
\(543\) | 17.5782 | + | 24.7763i | 0.754351 | + | 1.06325i | ||||
\(544\) | 9.14688 | − | 4.40491i | 0.392169 | − | 0.188859i | ||||
\(545\) | −0.774118 | − | 10.3299i | −0.0331596 | − | 0.442484i | ||||
\(546\) | 4.13477 | + | 0.374837i | 0.176952 | + | 0.0160416i | ||||
\(547\) | 0.983450 | − | 13.1232i | 0.0420493 | − | 0.561109i | −0.935900 | − | 0.352266i | \(-0.885411\pi\) |
0.977949 | − | 0.208843i | \(-0.0669697\pi\) | |||||||
\(548\) | −1.24037 | − | 3.16040i | −0.0529859 | − | 0.135006i | ||||
\(549\) | −13.7819 | + | 2.60645i | −0.588197 | + | 0.111241i | ||||
\(550\) | −3.82343 | + | 9.74194i | −0.163032 | + | 0.415398i | ||||
\(551\) | −11.8027 | + | 10.9513i | −0.502813 | + | 0.466543i | ||||
\(552\) | −5.66486 | − | 0.318375i | −0.241113 | − | 0.0135510i | ||||
\(553\) | 4.43604 | − | 40.5120i | 0.188639 | − | 1.72274i | ||||
\(554\) | −1.69227 | − | 0.255068i | −0.0718975 | − | 0.0108368i | ||||
\(555\) | 1.40976 | − | 10.7046i | 0.0598409 | − | 0.454386i | ||||
\(556\) | 2.81811 | + | 12.3469i | 0.119515 | + | 0.523627i | ||||
\(557\) | −8.25753 | − | 14.3025i | −0.349883 | − | 0.606015i | 0.636346 | − | 0.771404i | \(-0.280445\pi\) |
−0.986228 | + | 0.165389i | \(0.947112\pi\) | |||||||
\(558\) | 0.0496906 | + | 0.441357i | 0.00210357 | + | 0.0186841i | ||||
\(559\) | 1.05765 | + | 4.63388i | 0.0447340 | + | 0.195992i | ||||
\(560\) | −4.68201 | + | 42.7583i | −0.197851 | + | 1.80687i | ||||
\(561\) | −14.2708 | + | 31.1051i | −0.602513 | + | 1.31326i | ||||
\(562\) | −0.324862 | + | 1.42331i | −0.0137035 | + | 0.0600388i | ||||
\(563\) | 8.02004 | + | 20.4347i | 0.338005 | + | 0.861222i | 0.994290 | + | 0.106709i | \(0.0340314\pi\) |
−0.656286 | + | 0.754512i | \(0.727873\pi\) | |||||||
\(564\) | 0.822870 | + | 4.84433i | 0.0346491 | + | 0.203983i | ||||
\(565\) | −67.8245 | + | 20.9211i | −2.85340 | + | 0.880156i | ||||
\(566\) | −0.256885 | + | 1.12549i | −0.0107977 | + | 0.0473078i | ||||
\(567\) | 4.35753 | − | 23.4097i | 0.182999 | − | 0.983113i | ||||
\(568\) | −0.347264 | − | 1.52146i | −0.0145709 | − | 0.0638392i | ||||
\(569\) | −12.8000 | − | 22.1702i | −0.536603 | − | 0.929423i | −0.999084 | − | 0.0427942i | \(-0.986374\pi\) |
0.462481 | − | 0.886629i | \(-0.346959\pi\) | |||||||
\(570\) | −3.23687 | + | 3.62175i | −0.135578 | + | 0.151698i | ||||
\(571\) | 8.39556 | + | 2.58969i | 0.351343 | + | 0.108375i | 0.465403 | − | 0.885099i | \(-0.345909\pi\) |
−0.114060 | + | 0.993474i | \(0.536386\pi\) | |||||||
\(572\) | −36.6176 | − | 17.6341i | −1.53106 | − | 0.737319i | ||||
\(573\) | 7.44697 | − | 6.16952i | 0.311102 | − | 0.257735i | ||||
\(574\) | −3.19112 | − | 0.109387i | −0.133195 | − | 0.00456571i | ||||
\(575\) | 37.1041 | + | 46.5271i | 1.54735 | + | 1.94031i | ||||
\(576\) | 20.3530 | − | 7.11986i | 0.848041 | − | 0.296661i | ||||
\(577\) | 11.6825 | − | 29.7665i | 0.486348 | − | 1.23920i | −0.451538 | − | 0.892252i | \(-0.649124\pi\) |
0.937886 | − | 0.346944i | \(-0.112780\pi\) | |||||||
\(578\) | 0.805396 | + | 0.387858i | 0.0335000 | + | 0.0161328i | ||||
\(579\) | 40.5145 | + | 15.0347i | 1.68373 | + | 0.624821i | ||||
\(580\) | 31.7120 | + | 21.6209i | 1.31677 | + | 0.897759i | ||||
\(581\) | 1.08088 | − | 4.08508i | 0.0448424 | − | 0.169478i | ||||
\(582\) | −2.02260 | + | 0.837687i | −0.0838395 | + | 0.0347232i | ||||
\(583\) | 13.1318 | + | 8.95310i | 0.543863 | + | 0.370800i | ||||
\(584\) | 4.35178 | − | 1.34235i | 0.180078 | − | 0.0555467i | ||||
\(585\) | −29.3614 | + | 55.5430i | −1.21395 | + | 2.29642i | ||||
\(586\) | −5.13637 | + | 0.774183i | −0.212181 | + | 0.0319812i | ||||
\(587\) | 20.2457 | − | 35.0665i | 0.835628 | − | 1.44735i | −0.0578903 | − | 0.998323i | \(-0.518437\pi\) |
0.893518 | − | 0.449027i | \(-0.148229\pi\) | |||||||
\(588\) | 17.8689 | + | 15.7696i | 0.736901 | + | 0.650328i | ||||
\(589\) | 1.41094 | + | 2.44383i | 0.0581370 | + | 0.100696i | ||||
\(590\) | −4.69413 | − | 5.88625i | −0.193254 | − | 0.242333i | ||||
\(591\) | −9.40016 | + | 32.6234i | −0.386671 | + | 1.34195i | ||||
\(592\) | 1.22886 | − | 5.38401i | 0.0505060 | − | 0.221281i | ||||
\(593\) | −0.839083 | + | 11.1968i | −0.0344570 | + | 0.459797i | 0.953113 | + | 0.302615i | \(0.0978598\pi\) |
−0.987570 | + | 0.157181i | \(0.949759\pi\) | |||||||
\(594\) | 2.10251 | − | 3.48829i | 0.0862671 | − | 0.143126i | ||||
\(595\) | −44.7436 | + | 28.3103i | −1.83431 | + | 1.16061i | ||||
\(596\) | 1.53804 | − | 20.5237i | 0.0630006 | − | 0.840684i | ||||
\(597\) | 22.6210 | − | 18.7406i | 0.925816 | − | 0.767002i | ||||
\(598\) | 3.33647 | − | 2.27477i | 0.136439 | − | 0.0930222i | ||||
\(599\) | −10.9644 | + | 1.65262i | −0.447994 | + | 0.0675243i | −0.369165 | − | 0.929364i | \(-0.620356\pi\) |
−0.0788293 | + | 0.996888i | \(0.525118\pi\) | |||||||
\(600\) | 14.8747 | + | 8.22181i | 0.607259 | + | 0.335654i | ||||
\(601\) | −7.58011 | + | 1.14252i | −0.309199 | + | 0.0466043i | −0.301809 | − | 0.953368i | \(-0.597590\pi\) |
−0.00739015 | + | 0.999973i | \(0.502352\pi\) | |||||||
\(602\) | 0.189270 | − | 0.437550i | 0.00771409 | − | 0.0178332i | ||||
\(603\) | −10.4872 | + | 5.54149i | −0.427071 | + | 0.225667i | ||||
\(604\) | 13.3698 | − | 9.11535i | 0.544008 | − | 0.370898i | ||||
\(605\) | −6.56663 | − | 28.7703i | −0.266971 | − | 1.16968i | ||||
\(606\) | 0.286751 | + | 0.0598436i | 0.0116485 | + | 0.00243098i | ||||
\(607\) | −29.1931 | −1.18491 | −0.592456 | − | 0.805603i | \(-0.701842\pi\) | ||||
−0.592456 | + | 0.805603i | \(0.701842\pi\) | |||||||
\(608\) | −5.62740 | + | 5.22147i | −0.228221 | + | 0.211758i | ||||
\(609\) | 19.5603 | − | 7.32665i | 0.792623 | − | 0.296891i | ||||
\(610\) | −2.72098 | − | 2.52470i | −0.110169 | − | 0.102222i | ||||
\(611\) | −5.17202 | − | 4.79894i | −0.209238 | − | 0.194144i | ||||
\(612\) | 23.3243 | + | 14.6584i | 0.942831 | + | 0.592532i | ||||
\(613\) | 41.7063 | + | 6.28621i | 1.68450 | + | 0.253898i | 0.920338 | − | 0.391124i | \(-0.127914\pi\) |
0.764164 | + | 0.645022i | \(0.223152\pi\) | |||||||
\(614\) | 1.81617 | − | 0.560214i | 0.0732947 | − | 0.0226084i | ||||
\(615\) | 20.1486 | − | 43.9166i | 0.812472 | − | 1.77089i | ||||
\(616\) | 3.86564 | + | 7.25898i | 0.155751 | + | 0.292473i | ||||
\(617\) | −8.94288 | + | 8.29778i | −0.360027 | + | 0.334056i | −0.839359 | − | 0.543577i | \(-0.817069\pi\) |
0.479332 | + | 0.877634i | \(0.340879\pi\) | |||||||
\(618\) | −3.35002 | − | 0.699134i | −0.134758 | − | 0.0281233i | ||||
\(619\) | 2.23155 | 0.0896936 | 0.0448468 | − | 0.998994i | \(-0.485720\pi\) | ||||
0.0448468 | + | 0.998994i | \(0.485720\pi\) | |||||||
\(620\) | 4.93112 | − | 4.57541i | 0.198038 | − | 0.183753i | ||||
\(621\) | −11.2005 | − | 20.2719i | −0.449460 | − | 0.813483i | ||||
\(622\) | −0.641457 | + | 0.804362i | −0.0257201 | + | 0.0322520i | ||||
\(623\) | 3.44212 | − | 13.0092i | 0.137906 | − | 0.521201i | ||||
\(624\) | −17.6034 | + | 26.8836i | −0.704699 | + | 1.07621i | ||||
\(625\) | −19.2491 | − | 84.3359i | −0.769965 | − | 3.37344i | ||||
\(626\) | 1.43885 | − | 0.216871i | 0.0575078 | − | 0.00866791i | ||||
\(627\) | 3.37879 | − | 25.6560i | 0.134936 | − | 1.02460i | ||||
\(628\) | 37.1850 | + | 5.60474i | 1.48384 | + | 0.223654i | ||||
\(629\) | 6.12465 | − | 2.94948i | 0.244206 | − | 0.117603i | ||||
\(630\) | 5.66906 | − | 2.75140i | 0.225861 | − | 0.109619i | ||||
\(631\) | 15.2017 | + | 7.32077i | 0.605172 | + | 0.291435i | 0.711268 | − | 0.702921i | \(-0.248121\pi\) |
−0.106097 | + | 0.994356i | \(0.533835\pi\) | |||||||
\(632\) | −9.35360 | − | 6.37718i | −0.372066 | − | 0.253671i | ||||
\(633\) | 1.42894 | − | 3.11455i | 0.0567951 | − | 0.123792i | ||||
\(634\) | −0.0560014 | + | 0.747287i | −0.00222410 | + | 0.0296786i | ||||
\(635\) | −15.7057 | − | 19.6944i | −0.623263 | − | 0.781547i | ||||
\(636\) | 8.52546 | − | 9.53918i | 0.338057 | − | 0.378253i | ||||
\(637\) | −34.1398 | − | 2.34327i | −1.35267 | − | 0.0928438i | ||||
\(638\) | 3.57273 | 0.141446 | ||||||||
\(639\) | 4.50487 | − | 4.50409i | 0.178210 | − | 0.178179i | ||||
\(640\) | 20.0988 | + | 13.7031i | 0.794474 | + | 0.541663i | ||||
\(641\) | −9.37029 | + | 41.0539i | −0.370104 | + | 1.62153i | 0.356375 | + | 0.934343i | \(0.384013\pi\) |
−0.726479 | + | 0.687189i | \(0.758845\pi\) | |||||||
\(642\) | 1.23313 | − | 4.27960i | 0.0486677 | − | 0.168902i | ||||
\(643\) | 2.79743 | + | 37.3291i | 0.110320 | + | 1.47212i | 0.727940 | + | 0.685641i | \(0.240478\pi\) |
−0.617620 | + | 0.786476i | \(0.711903\pi\) | |||||||
\(644\) | 23.1667 | + | 0.794118i | 0.912896 | + | 0.0312926i | ||||
\(645\) | 5.00468 | + | 5.19589i | 0.197059 | + | 0.204588i | ||||
\(646\) | −3.02407 | − | 0.455806i | −0.118981 | − | 0.0179334i | ||||
\(647\) | 2.72804 | + | 36.4031i | 0.107250 | + | 1.43115i | 0.748150 | + | 0.663530i | \(0.230942\pi\) |
−0.640900 | + | 0.767625i | \(0.721439\pi\) | |||||||
\(648\) | −5.17067 | − | 4.12492i | −0.203123 | − | 0.162042i | ||||
\(649\) | 38.3272 | + | 11.8224i | 1.50447 | + | 0.464069i | ||||
\(650\) | −11.9611 | + | 1.80284i | −0.469153 | + | 0.0707134i | ||||
\(651\) | −0.489052 | − | 3.62800i | −0.0191675 | − | 0.142192i | ||||
\(652\) | −43.7355 | − | 6.59207i | −1.71282 | − | 0.258166i | ||||
\(653\) | 18.8737 | + | 9.08909i | 0.738585 | + | 0.355684i | 0.765054 | − | 0.643966i | \(-0.222712\pi\) |
−0.0264693 | + | 0.999650i | \(0.508426\pi\) | |||||||
\(654\) | −0.664850 | + | 0.400572i | −0.0259977 | + | 0.0156636i | ||||
\(655\) | −67.8056 | −2.64938 | ||||||||
\(656\) | 12.3568 | − | 21.4027i | 0.482454 | − | 0.835634i | ||||
\(657\) | 14.0895 | + | 12.1271i | 0.549683 | + | 0.473122i | ||||
\(658\) | 0.133742 | + | 0.694911i | 0.00521381 | + | 0.0270905i | ||||
\(659\) | −20.6244 | − | 19.1367i | −0.803414 | − | 0.745459i | 0.167246 | − | 0.985915i | \(-0.446513\pi\) |
−0.970660 | + | 0.240456i | \(0.922703\pi\) | |||||||
\(660\) | −61.4176 | + | 5.75667i | −2.39068 | + | 0.224078i | ||||
\(661\) | −8.37214 | − | 21.3319i | −0.325638 | − | 0.829713i | −0.996138 | − | 0.0878032i | \(-0.972015\pi\) |
0.670499 | − | 0.741910i | \(-0.266080\pi\) | |||||||
\(662\) | −0.293127 | − | 0.746876i | −0.0113927 | − | 0.0290282i | ||||
\(663\) | −39.3828 | + | 3.69135i | −1.52950 | + | 0.143360i | ||||
\(664\) | −0.860459 | − | 0.798390i | −0.0333923 | − | 0.0309835i | ||||
\(665\) | 26.0201 | − | 30.4283i | 1.00902 | − | 1.17996i | ||||
\(666\) | −0.763656 | + | 0.267141i | −0.0295911 | + | 0.0103515i | ||||
\(667\) | 10.1580 | − | 17.5942i | 0.393320 | − | 0.681249i | ||||
\(668\) | 11.7837 | 0.455923 | ||||||||
\(669\) | −19.8783 | + | 11.9767i | −0.768538 | + | 0.463044i | ||||
\(670\) | −2.82807 | − | 1.36193i | −0.109258 | − | 0.0526158i | ||||
\(671\) | 19.5537 | + | 2.94725i | 0.754863 | + | 0.113777i | ||||
\(672\) | 9.32612 | − | 3.49326i | 0.359763 | − | 0.134755i | ||||
\(673\) | 10.5597 | − | 1.59162i | 0.407046 | − | 0.0613523i | 0.0576719 | − | 0.998336i | \(-0.481632\pi\) |
0.349374 | + | 0.936983i | \(0.386394\pi\) | |||||||
\(674\) | −5.75391 | − | 1.77485i | −0.221632 | − | 0.0683645i | ||||
\(675\) | 3.88106 | + | 69.2677i | 0.149382 | + | 2.66612i | ||||
\(676\) | −1.60089 | − | 21.3624i | −0.0615727 | − | 0.821630i | ||||
\(677\) | −2.36723 | − | 0.356802i | −0.0909800 | − | 0.0137130i | 0.103394 | − | 0.994640i | \(-0.467030\pi\) |
−0.194374 | + | 0.980927i | \(0.562268\pi\) | |||||||
\(678\) | 3.68956 | + | 3.83052i | 0.141697 | + | 0.147110i | ||||
\(679\) | 16.5160 | − | 7.26757i | 0.633826 | − | 0.278904i | ||||
\(680\) | 1.09912 | + | 14.6667i | 0.0421492 | + | 0.562442i | ||||
\(681\) | −2.28084 | + | 7.91569i | −0.0874019 | + | 0.303330i | ||||
\(682\) | 0.139336 | − | 0.610471i | 0.00533545 | − | 0.0233761i | ||||
\(683\) | −26.5270 | − | 18.0858i | −1.01503 | − | 0.692034i | −0.0629900 | − | 0.998014i | \(-0.520064\pi\) |
−0.952038 | + | 0.305980i | \(0.901016\pi\) | |||||||
\(684\) | −20.1203 | − | 5.39307i | −0.769319 | − | 0.206209i | ||||
\(685\) | 7.39912 | 0.282706 | ||||||||
\(686\) | 2.62251 | + | 2.21427i | 0.100128 | + | 0.0845412i | ||||
\(687\) | 2.67546 | − | 2.99358i | 0.102075 | − | 0.114212i | ||||
\(688\) | 2.30061 | + | 2.88487i | 0.0877098 | + | 0.109985i | ||||
\(689\) | −1.37280 | + | 18.3188i | −0.0522996 | + | 0.697890i | ||||
\(690\) | 2.55582 | − | 5.57076i | 0.0972985 | − | 0.212075i | ||||
\(691\) | 13.8080 | + | 9.41412i | 0.525280 | + | 0.358130i | 0.796742 | − | 0.604319i | \(-0.206555\pi\) |
−0.271462 | + | 0.962449i | \(0.587507\pi\) | |||||||
\(692\) | −20.8104 | − | 10.0218i | −0.791093 | − | 0.380970i | ||||
\(693\) | −16.6966 | + | 29.1241i | −0.634251 | + | 1.10633i | ||||
\(694\) | 3.05975 | − | 1.47350i | 0.116146 | − | 0.0559331i | ||||
\(695\) | −27.2921 | − | 4.11363i | −1.03525 | − | 0.156039i | ||||
\(696\) | 0.757576 | − | 5.75245i | 0.0287158 | − | 0.218046i | ||||
\(697\) | 30.0814 | − | 4.53404i | 1.13941 | − | 0.171739i | ||||
\(698\) | −0.368732 | − | 1.61552i | −0.0139567 | − | 0.0611483i | ||||
\(699\) | 4.29195 | − | 6.55460i | 0.162336 | − | 0.247918i | ||||
\(700\) | −61.4910 | − | 32.2527i | −2.32414 | − | 1.21904i | ||||
\(701\) | 26.6020 | − | 33.3578i | 1.00474 | − | 1.25991i | 0.0393175 | − | 0.999227i | \(-0.487482\pi\) |
0.965425 | − | 0.260681i | \(-0.0839469\pi\) | |||||||
\(702\) | 4.70678 | + | 0.0886324i | 0.177646 | + | 0.00334522i | ||||
\(703\) | −3.76805 | + | 3.49624i | −0.142115 | + | 0.131863i | ||||
\(704\) | −30.3994 | −1.14572 | ||||||||
\(705\) | −10.4829 | − | 2.18773i | −0.394809 | − | 0.0823947i | ||||
\(706\) | −2.73181 | + | 2.53475i | −0.102813 | + | 0.0953966i | ||||
\(707\) | −2.37374 | − | 0.441432i | −0.0892735 | − | 0.0166017i | ||||
\(708\) | 13.4635 | − | 29.3455i | 0.505989 | − | 1.10287i | ||||
\(709\) | 20.9153 | − | 6.45152i | 0.785492 | − | 0.242292i | 0.124037 | − | 0.992278i | \(-0.460416\pi\) |
0.661454 | + | 0.749985i | \(0.269940\pi\) | |||||||
\(710\) | 1.66699 | + | 0.251258i | 0.0625608 | + | 0.00942953i | ||||
\(711\) | 1.73184 | − | 46.1784i | 0.0649490 | − | 1.73182i | ||||
\(712\) | −2.74018 | − | 2.54252i | −0.102693 | − | 0.0952849i | ||||
\(713\) | −2.61015 | − | 2.42186i | −0.0977509 | − | 0.0906995i | ||||
\(714\) | 3.40450 | + | 2.03709i | 0.127410 | + | 0.0762362i | ||||
\(715\) | 64.9296 | − | 60.2459i | 2.42823 | − | 2.25307i | ||||
\(716\) | −21.0079 | −0.785101 | ||||||||
\(717\) | −6.23590 | − | 1.30140i | −0.232884 | − | 0.0486018i | ||||
\(718\) | −0.595522 | − | 2.60915i | −0.0222247 | − | 0.0973726i | ||||
\(719\) | −25.9665 | + | 17.7036i | −0.968386 | + | 0.660234i | −0.940649 | − | 0.339381i | \(-0.889782\pi\) |
−0.0277367 | + | 0.999615i | \(0.508830\pi\) | |||||||
\(720\) | −1.82786 | + | 48.7389i | −0.0681205 | + | 1.81639i | ||||
\(721\) | 27.7316 | + | 5.15711i | 1.03278 | + | 0.192061i | ||||
\(722\) | −1.19520 | + | 0.180147i | −0.0444806 | + | 0.00670437i | ||||
\(723\) | 27.2293 | + | 15.0506i | 1.01267 | + | 0.559738i | ||||
\(724\) | −34.0907 | + | 5.13835i | −1.26697 | + | 0.190965i | ||||
\(725\) | −50.2818 | + | 34.2815i | −1.86742 | + | 1.27318i | ||||
\(726\) | −1.70278 | + | 1.41069i | −0.0631961 | + | 0.0523555i | ||||
\(727\) | −2.92052 | + | 38.9717i | −0.108316 | + | 1.44538i | 0.632962 | + | 0.774182i | \(0.281839\pi\) |
−0.741279 | + | 0.671197i | \(0.765780\pi\) | |||||||
\(728\) | −5.03207 | + | 8.06450i | −0.186501 | + | 0.298890i | ||||
\(729\) | 3.02994 | − | 26.8295i | 0.112220 | − | 0.993683i | ||||
\(730\) | −0.367637 | + | 4.90578i | −0.0136069 | + | 0.181571i | ||||
\(731\) | −1.01070 | + | 4.42817i | −0.0373821 | + | 0.163782i | ||||
\(732\) | 4.40730 | − | 15.2956i | 0.162899 | − | 0.565342i | ||||
\(733\) | −18.0839 | − | 22.6764i | −0.667943 | − | 0.837574i | 0.326239 | − | 0.945287i | \(-0.394218\pi\) |
−0.994182 | + | 0.107714i | \(0.965647\pi\) | |||||||
\(734\) | 3.03434 | + | 5.25563i | 0.111999 | + | 0.193989i | ||||
\(735\) | −46.2193 | + | 23.6949i | −1.70482 | + | 0.873998i | ||||
\(736\) | 4.84322 | − | 8.38870i | 0.178523 | − | 0.309211i | ||||
\(737\) | 16.5356 | − | 2.49234i | 0.609097 | − | 0.0918066i | ||||
\(738\) | −3.61800 | + | 0.135065i | −0.133180 | + | 0.00497182i | ||||
\(739\) | 33.0004 | − | 10.1793i | 1.21394 | − | 0.374451i | 0.379314 | − | 0.925268i | \(-0.376160\pi\) |
0.834626 | + | 0.550817i | \(0.185684\pi\) | |||||||
\(740\) | 10.1241 | + | 6.90251i | 0.372170 | + | 0.253741i | ||||
\(741\) | 27.6337 | − | 11.4449i | 1.01515 | − | 0.420438i | ||||
\(742\) | 1.19747 | − | 1.40034i | 0.0439606 | − | 0.0514083i | ||||
\(743\) | 15.9751 | + | 10.8916i | 0.586069 | + | 0.399575i | 0.819736 | − | 0.572742i | \(-0.194120\pi\) |
−0.233667 | + | 0.972317i | \(0.575073\pi\) | |||||||
\(744\) | −0.953373 | − | 0.353791i | −0.0349524 | − | 0.0129706i | ||||
\(745\) | 40.4120 | + | 19.4614i | 1.48058 | + | 0.713010i | ||||
\(746\) | 1.30979 | − | 3.33728i | 0.0479547 | − | 0.122186i | ||||
\(747\) | 0.891189 | − | 4.70783i | 0.0326069 | − | 0.172251i | ||||
\(748\) | −24.2152 | − | 30.3649i | −0.885395 | − | 1.11025i | ||||
\(749\) | −9.38983 | + | 35.4880i | −0.343097 | + | 1.29670i | ||||
\(750\) | −8.84346 | + | 7.32646i | −0.322918 | + | 0.267524i | ||||
\(751\) | 41.4308 | + | 19.9520i | 1.51183 | + | 0.728060i | 0.992003 | − | 0.126211i | \(-0.0402817\pi\) |
0.519828 | + | 0.854271i | \(0.325996\pi\) | |||||||
\(752\) | −5.23395 | − | 1.61446i | −0.190863 | − | 0.0588733i | ||||
\(753\) | 2.92966 | − | 3.27801i | 0.106763 | − | 0.119457i | ||||
\(754\) | 2.06474 | + | 3.57623i | 0.0751933 | + | 0.130239i | ||||
\(755\) | 7.84725 | + | 34.3810i | 0.285591 | + | 1.25125i | ||||
\(756\) | 21.4884 | + | 16.3862i | 0.781524 | + | 0.595960i | ||||
\(757\) | 5.26502 | − | 23.0676i | 0.191360 | − | 0.838404i | −0.784521 | − | 0.620102i | \(-0.787091\pi\) |
0.975881 | − | 0.218302i | \(-0.0700518\pi\) | |||||||
\(758\) | 4.99048 | − | 1.53936i | 0.181262 | − | 0.0559120i | ||||
\(759\) | 5.46807 | + | 32.1911i | 0.198478 | + | 1.16846i | ||||
\(760\) | −4.06309 | − | 10.3526i | −0.147384 | − | 0.375528i | ||||
\(761\) | −8.47911 | + | 37.1494i | −0.307368 | + | 1.34667i | 0.551375 | + | 0.834258i | \(0.314103\pi\) |
−0.858742 | + | 0.512408i | \(0.828754\pi\) | |||||||
\(762\) | −0.787091 | + | 1.71557i | −0.0285133 | + | 0.0621486i | ||||
\(763\) | 5.40641 | − | 3.42076i | 0.195725 | − | 0.123840i | ||||
\(764\) | 2.44214 | + | 10.6997i | 0.0883535 | + | 0.387102i | ||||
\(765\) | −48.3087 | + | 35.6471i | −1.74661 | + | 1.28882i | ||||
\(766\) | −0.505991 | − | 0.876401i | −0.0182822 | − | 0.0316657i | ||||
\(767\) | 10.3159 | + | 45.1971i | 0.372487 | + | 1.63197i | ||||
\(768\) | −3.01292 | + | 22.8778i | −0.108719 | + | 0.825532i | ||||
\(769\) | −2.88384 | − | 0.434669i | −0.103994 | − | 0.0156746i | 0.0968390 | − | 0.995300i | \(-0.469127\pi\) |
−0.200833 | + | 0.979625i | \(0.564365\pi\) | |||||||
\(770\) | −8.82500 | + | 1.02236i | −0.318031 | + | 0.0368435i | ||||
\(771\) | −24.3486 | − | 1.36843i | −0.876892 | − | 0.0492829i | ||||
\(772\) | −35.9507 | + | 33.3574i | −1.29390 | + | 1.20056i | ||||
\(773\) | 5.93947 | − | 15.1335i | 0.213628 | − | 0.544315i | −0.783386 | − | 0.621535i | \(-0.786509\pi\) |
0.997014 | + | 0.0772203i | \(0.0246045\pi\) | |||||||
\(774\) | 0.178580 | − | 0.510213i | 0.00641894 | − | 0.0183392i | ||||
\(775\) | 3.89669 | + | 9.92860i | 0.139973 | + | 0.356646i | ||||
\(776\) | 0.374573 | − | 4.99833i | 0.0134464 | − | 0.179430i | ||||
\(777\) | 6.24467 | − | 2.33905i | 0.224026 | − | 0.0839129i | ||||
\(778\) | 0.0127614 | + | 0.170289i | 0.000457519 | + | 0.00610516i | ||||
\(779\) | −20.7251 | + | 9.98066i | −0.742552 | + | 0.357594i | ||||
\(780\) | −41.2565 | − | 58.1509i | −1.47722 | − | 2.08214i | ||||
\(781\) | −8.09165 | + | 3.89673i | −0.289542 | + | 0.139436i | ||||
\(782\) | 3.81578 | − | 0.575136i | 0.136452 | − | 0.0205668i | ||||
\(783\) | 21.5284 | − | 9.87259i | 0.769361 | − | 0.352817i | ||||
\(784\) | −24.6680 | + | 9.86041i | −0.881000 | + | 0.352158i | ||||
\(785\) | −40.9774 | + | 70.9750i | −1.46255 | + | 2.53321i | ||||
\(786\) | 2.28946 | + | 4.53566i | 0.0816624 | + | 0.161782i | ||||
\(787\) | −0.903676 | + | 12.0587i | −0.0322126 | + | 0.429847i | 0.957661 | + | 0.287897i | \(0.0929562\pi\) |
−0.989874 | + | 0.141950i | \(0.954663\pi\) | |||||||
\(788\) | −28.2442 | − | 26.2068i | −1.00616 | − | 0.933580i | ||||
\(789\) | 4.27192 | − | 14.8258i | 0.152084 | − | 0.527811i | ||||
\(790\) | 10.1041 | − | 6.88889i | 0.359489 | − | 0.245096i | ||||
\(791\) | −31.0941 | − | 30.8998i | −1.10558 | − | 1.09867i | ||||
\(792\) | 4.96066 | + | 7.89635i | 0.176269 | + | 0.280585i | ||||
\(793\) | 8.35027 | + | 21.2761i | 0.296527 | + | 0.755538i | ||||
\(794\) | 2.27866 | + | 1.09734i | 0.0808664 | + | 0.0389432i | ||||
\(795\) | 12.5641 | + | 24.8908i | 0.445604 | + | 0.882787i | ||||
\(796\) | 7.41827 | + | 32.5016i | 0.262934 | + | 1.15199i | ||||
\(797\) | 2.98679 | − | 7.61022i | 0.105798 | − | 0.269568i | −0.868165 | − | 0.496275i | \(-0.834701\pi\) |
0.973963 | + | 0.226707i | \(0.0727961\pi\) | |||||||
\(798\) | −2.91398 | − | 0.713124i | −0.103154 | − | 0.0252443i | ||||
\(799\) | −2.46322 | − | 6.27618i | −0.0871424 | − | 0.222035i | ||||
\(800\) | −23.9738 | + | 16.3450i | −0.847600 | + | 0.577884i | ||||
\(801\) | 2.83804 | − | 14.9924i | 0.100277 | − | 0.529729i | ||||
\(802\) | 0.284546 | + | 0.492849i | 0.0100477 | + | 0.0174031i | ||||
\(803\) | −13.1042 | − | 22.6972i | −0.462439 | − | 0.800967i | ||||
\(804\) | −0.251128 | − | 13.4586i | −0.00885661 | − | 0.474650i | ||||
\(805\) | −20.0566 | + | 46.3661i | −0.706901 | + | 1.63419i | ||||
\(806\) | 0.691593 | − | 0.213328i | 0.0243603 | − | 0.00751417i | ||||
\(807\) | 14.3919 | − | 31.3691i | 0.506619 | − | 1.10424i | ||||
\(808\) | −0.418163 | + | 0.524360i | −0.0147109 | + | 0.0184469i | ||||
\(809\) | −6.07777 | − | 0.916077i | −0.213683 | − | 0.0322076i | 0.0413282 | − | 0.999146i | \(-0.486841\pi\) |
−0.255011 | + | 0.966938i | \(0.582079\pi\) | |||||||
\(810\) | 6.18853 | − | 3.57153i | 0.217443 | − | 0.125491i | ||||
\(811\) | 2.06535 | − | 9.04889i | 0.0725242 | − | 0.317749i | −0.925634 | − | 0.378421i | \(-0.876467\pi\) |
0.998158 | + | 0.0606717i | \(0.0193243\pi\) | |||||||
\(812\) | −2.58021 | + | 23.5637i | −0.0905477 | + | 0.826924i | ||||
\(813\) | 19.5607 | − | 11.7853i | 0.686022 | − | 0.413329i | ||||
\(814\) | 1.14060 | 0.0399781 | ||||||||
\(815\) | 48.1960 | − | 83.4779i | 1.68823 | − | 2.92410i | ||||
\(816\) | −26.3026 | + | 15.8473i | −0.920774 | + | 0.554766i | ||||
\(817\) | −0.256659 | − | 3.42488i | −0.00897937 | − | 0.119821i | ||||
\(818\) | −0.0955433 | + | 0.119808i | −0.00334059 | + | 0.00418897i | ||||
\(819\) | −38.8018 | + | 0.118313i | −1.35584 | + | 0.00413418i | ||||
\(820\) | 34.1890 | + | 42.8716i | 1.19393 | + | 1.49714i | ||||
\(821\) | −19.0626 | + | 17.6875i | −0.665289 | + | 0.617298i | −0.938756 | − | 0.344584i | \(-0.888020\pi\) |
0.273467 | + | 0.961881i | \(0.411830\pi\) | |||||||
\(822\) | −0.249832 | − | 0.494943i | −0.00871390 | − | 0.0172631i | ||||
\(823\) | 2.07780 | − | 1.41662i | 0.0724277 | − | 0.0493804i | −0.526565 | − | 0.850135i | \(-0.676520\pi\) |
0.598993 | + | 0.800755i | \(0.295568\pi\) | |||||||
\(824\) | 4.88527 | − | 6.12594i | 0.170187 | − | 0.213407i | ||||
\(825\) | 27.0811 | − | 93.9853i | 0.942842 | − | 3.27215i | ||||
\(826\) | 1.84607 | − | 4.26769i | 0.0642329 | − | 0.148492i | ||||
\(827\) | 4.27251 | + | 2.05753i | 0.148570 | + | 0.0715475i | 0.506691 | − | 0.862128i | \(-0.330868\pi\) |
−0.358122 | + | 0.933675i | \(0.616583\pi\) | |||||||
\(828\) | 26.2657 | − | 0.980538i | 0.912796 | − | 0.0340760i | ||||
\(829\) | −36.4388 | + | 11.2399i | −1.26557 | + | 0.390377i | −0.853653 | − | 0.520843i | \(-0.825618\pi\) |
−0.411920 | + | 0.911220i | \(0.635142\pi\) | |||||||
\(830\) | 1.14242 | − | 0.550161i | 0.0396540 | − | 0.0190964i | ||||
\(831\) | 15.9693 | + | 0.897506i | 0.553970 | + | 0.0311341i | ||||
\(832\) | −17.5683 | − | 30.4291i | −0.609070 | − | 1.05494i | ||||
\(833\) | −28.4218 | − | 16.1726i | −0.984757 | − | 0.560347i | ||||
\(834\) | 0.646353 | + | 1.96453i | 0.0223814 | + | 0.0680260i | ||||
\(835\) | −9.38225 | + | 23.9056i | −0.324686 | + | 0.827287i | ||||
\(836\) | 24.2647 | + | 16.5434i | 0.839211 | + | 0.572164i | ||||
\(837\) | −0.847321 | − | 4.06357i | −0.0292877 | − | 0.140458i | ||||
\(838\) | 0.108231 | − | 1.44424i | 0.00373876 | − | 0.0498903i | ||||
\(839\) | −3.20547 | + | 2.18545i | −0.110665 | + | 0.0754501i | −0.617388 | − | 0.786659i | \(-0.711809\pi\) |
0.506723 | + | 0.862109i | \(0.330857\pi\) | |||||||
\(840\) | −0.225177 | + | 14.4259i | −0.00776934 | + | 0.497741i | ||||
\(841\) | −6.79541 | − | 4.63303i | −0.234325 | − | 0.159760i | ||||
\(842\) | −2.40839 | + | 3.02002i | −0.0829986 | + | 0.104077i | ||||
\(843\) | 1.78152 | − | 13.5275i | 0.0613589 | − | 0.465913i | ||||
\(844\) | 2.42467 | + | 3.04044i | 0.0834606 | + | 0.104656i | ||||
\(845\) | 44.6127 | + | 13.7612i | 1.53472 | + | 0.473399i | ||||
\(846\) | 0.207614 | + | 0.775092i | 0.00713792 | + | 0.0266482i | ||||
\(847\) | 13.7772 | − | 11.9317i | 0.473392 | − | 0.409977i | ||||
\(848\) | 5.21017 | + | 13.2753i | 0.178918 | + | 0.455875i | ||||
\(849\) | 1.40874 | − | 10.6969i | 0.0483480 | − | 0.367118i | ||||
\(850\) | −11.0457 | − | 3.40713i | −0.378863 | − | 0.116864i | ||||
\(851\) | 3.24296 | − | 5.61698i | 0.111167 | − | 0.192548i | ||||
\(852\) | 2.25943 | + | 6.86732i | 0.0774069 | + | 0.235271i | ||||
\(853\) | −30.1789 | − | 9.30896i | −1.03331 | − | 0.318733i | −0.268695 | − | 0.963225i | \(-0.586593\pi\) |
−0.764611 | + | 0.644493i | \(0.777069\pi\) | |||||||
\(854\) | 0.586390 | − | 2.21620i | 0.0200658 | − | 0.0758369i | ||||
\(855\) | 26.9609 | − | 36.5242i | 0.922044 | − | 1.24910i | ||||
\(856\) | 7.47500 | + | 6.93578i | 0.255490 | + | 0.237060i | ||||
\(857\) | 3.36786 | − | 4.22316i | 0.115044 | − | 0.144261i | −0.720975 | − | 0.692961i | \(-0.756306\pi\) |
0.836019 | + | 0.548700i | \(0.184877\pi\) | |||||||
\(858\) | −6.22233 | − | 2.30907i | −0.212427 | − | 0.0788304i | ||||
\(859\) | −3.37857 | + | 14.8025i | −0.115275 | + | 0.505054i | 0.884018 | + | 0.467454i | \(0.154829\pi\) |
−0.999293 | + | 0.0376005i | \(0.988029\pi\) | |||||||
\(860\) | −7.82340 | + | 2.41320i | −0.266776 | + | 0.0822894i | ||||
\(861\) | 29.7894 | − | 1.76535i | 1.01522 | − | 0.0601631i | ||||
\(862\) | 5.73679 | + | 1.76957i | 0.195396 | + | 0.0602717i | ||||
\(863\) | −4.41840 | + | 7.65289i | −0.150404 | + | 0.260508i | −0.931376 | − | 0.364059i | \(-0.881391\pi\) |
0.780972 | + | 0.624566i | \(0.214724\pi\) | |||||||
\(864\) | 10.2645 | − | 4.70713i | 0.349204 | − | 0.160140i | ||||
\(865\) | 36.9006 | − | 34.2388i | 1.25466 | − | 1.16415i | ||||
\(866\) | 0.362721 | + | 4.84018i | 0.0123258 | + | 0.164476i | ||||
\(867\) | −7.83264 | − | 2.90665i | −0.266011 | − | 0.0987150i | ||||
\(868\) | 3.92569 | + | 1.35986i | 0.133247 | + | 0.0461567i | ||||
\(869\) | −23.8018 | + | 60.6461i | −0.807422 | + | 2.05728i | ||||
\(870\) | 5.48550 | + | 3.03204i | 0.185976 | + | 0.102796i | ||||
\(871\) | 12.0510 | + | 15.1114i | 0.408332 | + | 0.512032i | ||||
\(872\) | −0.132807 | − | 1.77219i | −0.00449743 | − | 0.0600140i | ||||
\(873\) | 18.0901 | − | 9.55890i | 0.612256 | − | 0.323520i | ||||
\(874\) | −2.62894 | + | 1.26603i | −0.0889252 | + | 0.0428241i | ||||
\(875\) | 71.5527 | − | 61.9676i | 2.41892 | − | 2.09489i | ||||
\(876\) | −19.4914 | + | 8.07263i | −0.658554 | + | 0.272749i | ||||
\(877\) | 39.0752 | − | 18.8176i | 1.31948 | − | 0.635426i | 0.364249 | − | 0.931302i | \(-0.381326\pi\) |
0.955227 | + | 0.295875i | \(0.0956114\pi\) | |||||||
\(878\) | 1.11723 | + | 1.03664i | 0.0377046 | + | 0.0349848i | ||||
\(879\) | 47.1197 | − | 11.6837i | 1.58931 | − | 0.394083i | ||||
\(880\) | 25.1216 | − | 64.0088i | 0.846848 | − | 2.15773i | ||||
\(881\) | −43.4008 | −1.46221 | −0.731105 | − | 0.682265i | \(-0.760995\pi\) | ||||
−0.731105 | + | 0.682265i | \(0.760995\pi\) | |||||||
\(882\) | 3.14560 | + | 2.29165i | 0.105918 | + | 0.0771637i | ||||
\(883\) | 15.5123 | 0.522031 | 0.261015 | − | 0.965335i | \(-0.415943\pi\) | ||||
0.261015 | + | 0.965335i | \(0.415943\pi\) | |||||||
\(884\) | 16.4003 | − | 41.7873i | 0.551601 | − | 1.40546i | ||||
\(885\) | 48.8136 | + | 50.6786i | 1.64085 | + | 1.70354i | ||||
\(886\) | −1.78085 | − | 1.65239i | −0.0598289 | − | 0.0555131i | ||||
\(887\) | −16.2026 | + | 7.80277i | −0.544031 | + | 0.261991i | −0.685652 | − | 0.727930i | \(-0.740483\pi\) |
0.141621 | + | 0.989921i | \(0.454768\pi\) | |||||||
\(888\) | 0.241858 | − | 1.83648i | 0.00811621 | − | 0.0616283i | ||||
\(889\) | 6.17662 | − | 14.2789i | 0.207157 | − | 0.478900i | ||||
\(890\) | 3.63811 | − | 1.75202i | 0.121950 | − | 0.0587278i | ||||
\(891\) | −16.5219 | + | 34.2930i | −0.553504 | + | 1.14886i | ||||
\(892\) | −1.96820 | − | 26.2638i | −0.0659002 | − | 0.879377i | ||||
\(893\) | 3.17866 | + | 3.98591i | 0.106370 | + | 0.133383i | ||||
\(894\) | −0.0627018 | − | 3.36036i | −0.00209706 | − | 0.112387i | ||||
\(895\) | 16.7266 | − | 42.6188i | 0.559110 | − | 1.42459i | ||||
\(896\) | −1.63531 | + | 14.9345i | −0.0546320 | + | 0.498925i | ||||
\(897\) | −29.0625 | + | 24.0772i | −0.970370 | + | 0.803913i | ||||
\(898\) | 0.415409 | + | 5.54325i | 0.0138624 | + | 0.184981i | ||||
\(899\) | 2.66918 | − | 2.47664i | 0.0890222 | − | 0.0826005i | ||||
\(900\) | −72.1612 | − | 31.4910i | −2.40537 | − | 1.04970i | ||||
\(901\) | −8.77731 | + | 15.2028i | −0.292415 | + | 0.506477i | ||||
\(902\) | 4.87756 | + | 1.50453i | 0.162405 | + | 0.0500953i | ||||
\(903\) | −1.37958 | + | 4.23656i | −0.0459095 | + | 0.140984i | ||||
\(904\) | −11.6359 | + | 3.58921i | −0.387006 | + | 0.119375i | ||||
\(905\) | 16.7191 | − | 73.2513i | 0.555763 | − | 2.43495i | ||||
\(906\) | 2.03486 | − | 1.68580i | 0.0676036 | − | 0.0560069i | ||||
\(907\) | 18.6211 | − | 23.3501i | 0.618303 | − | 0.775327i | −0.369802 | − | 0.929111i | \(-0.620574\pi\) |
0.988105 | + | 0.153783i | \(0.0491458\pi\) | |||||||
\(908\) | −6.85313 | − | 6.35878i | −0.227429 | − | 0.211023i | ||||
\(909\) | −2.72047 | − | 0.306759i | −0.0902322 | − | 0.0101746i | ||||
\(910\) | −6.12347 | − | 8.24280i | −0.202991 | − | 0.273246i | ||||
\(911\) | −18.0443 | − | 5.56592i | −0.597834 | − | 0.184407i | −0.0189542 | − | 0.999820i | \(-0.506034\pi\) |
−0.578880 | + | 0.815413i | \(0.696510\pi\) | |||||||
\(912\) | 15.4731 | − | 17.3129i | 0.512366 | − | 0.573288i | ||||
\(913\) | −3.37757 | + | 5.85012i | −0.111781 | + | 0.193611i | ||||
\(914\) | 6.84612 | + | 2.11175i | 0.226450 | + | 0.0698505i | ||||
\(915\) | 27.5212 | + | 21.1196i | 0.909822 | + | 0.698193i | ||||
\(916\) | 1.66465 | + | 4.24145i | 0.0550014 | + | 0.140141i | ||||
\(917\) | −19.6839 | − | 36.9629i | −0.650021 | − | 1.22062i | ||||
\(918\) | 4.01566 | + | 2.02785i | 0.132536 | + | 0.0669289i | ||||
\(919\) | −10.9108 | − | 3.36555i | −0.359915 | − | 0.111019i | 0.109523 | − | 0.993984i | \(-0.465068\pi\) |
−0.469439 | + | 0.882965i | \(0.655544\pi\) | |||||||
\(920\) | 8.74940 | + | 10.9714i | 0.288459 | + | 0.361717i | ||||
\(921\) | −16.4112 | + | 6.79692i | −0.540768 | + | 0.223966i | ||||
\(922\) | −0.146419 | + | 0.183603i | −0.00482205 | + | 0.00604665i | ||||
\(923\) | −8.57684 | − | 5.84759i | −0.282310 | − | 0.192476i | ||||
\(924\) | −20.9676 | − | 31.8094i | −0.689785 | − | 1.04645i | ||||
\(925\) | −16.0526 | + | 10.9445i | −0.527805 | + | 0.359851i | ||||
\(926\) | 0.130669 | − | 1.74366i | 0.00429405 | − | 0.0573002i | ||||
\(927\) | 31.7824 | + | 3.58377i | 1.04387 | + | 0.117707i | ||||
\(928\) | 8.18431 | + | 5.57997i | 0.268663 | + | 0.183171i | ||||
\(929\) | −2.07348 | + | 5.28315i | −0.0680288 | + | 0.173334i | −0.960845 | − | 0.277087i | \(-0.910631\pi\) |
0.892816 | + | 0.450421i | \(0.148726\pi\) | |||||||
\(930\) | 0.732016 | − | 0.819056i | 0.0240038 | − | 0.0268579i | ||||
\(931\) | 24.1410 | + | 5.35101i | 0.791189 | + | 0.175372i | ||||
\(932\) | 4.44573 | + | 7.70022i | 0.145625 | + | 0.252229i | ||||
\(933\) | 5.26734 | − | 8.04421i | 0.172445 | − | 0.263356i | ||||
\(934\) | −6.22997 | + | 3.00019i | −0.203851 | + | 0.0981694i | ||||
\(935\) | 80.8818 | − | 24.9487i | 2.64512 | − | 0.815911i | ||||
\(936\) | −5.03724 | + | 9.52894i | −0.164647 | + | 0.311463i | ||||
\(937\) | 33.2266 | + | 16.0011i | 1.08546 | + | 0.522732i | 0.889060 | − | 0.457791i | \(-0.151359\pi\) |
0.196404 | + | 0.980523i | \(0.437074\pi\) | |||||||
\(938\) | −0.0785603 | − | 1.93703i | −0.00256508 | − | 0.0632464i | ||||
\(939\) | −13.1996 | + | 3.27295i | −0.430752 | + | 0.106809i | ||||
\(940\) | 7.57730 | − | 9.50163i | 0.247144 | − | 0.309909i | ||||
\(941\) | 27.9178 | − | 19.0341i | 0.910095 | − | 0.620492i | −0.0151405 | − | 0.999885i | \(-0.504820\pi\) |
0.925236 | + | 0.379393i | \(0.123867\pi\) | |||||||
\(942\) | 6.13127 | + | 0.344588i | 0.199768 | + | 0.0112273i | ||||
\(943\) | 21.2770 | − | 19.7422i | 0.692876 | − | 0.642895i | ||||
\(944\) | 22.4392 | + | 28.1379i | 0.730334 | + | 0.915810i | ||||
\(945\) | −50.3520 | + | 30.5468i | −1.63795 | + | 0.993686i | ||||
\(946\) | −0.475164 | + | 0.595837i | −0.0154489 | + | 0.0193723i | ||||
\(947\) | 4.47436 | + | 59.7062i | 0.145397 | + | 1.94019i | 0.303634 | + | 0.952789i | \(0.401800\pi\) |
−0.158237 | + | 0.987401i | \(0.550581\pi\) | |||||||
\(948\) | 45.8986 | + | 25.3698i | 1.49072 | + | 0.823973i | ||||
\(949\) | 15.1463 | − | 26.2341i | 0.491669 | − | 0.851596i | ||||
\(950\) | 8.74053 | 0.283580 | ||||||||
\(951\) | −0.130661 | − | 7.00249i | −0.00423698 | − | 0.227071i | ||||
\(952\) | −7.67619 | + | 4.85690i | −0.248787 | + | 0.157413i | ||||
\(953\) | 3.63079 | − | 15.9075i | 0.117613 | − | 0.515296i | −0.881460 | − | 0.472258i | \(-0.843439\pi\) |
0.999073 | − | 0.0430382i | \(-0.0137037\pi\) | |||||||
\(954\) | 1.24077 | − | 1.68088i | 0.0401714 | − | 0.0544206i | ||||
\(955\) | −23.6510 | − | 3.56482i | −0.765329 | − | 0.115355i | ||||
\(956\) | 4.50747 | − | 5.65218i | 0.145782 | − | 0.182805i | ||||
\(957\) | −33.2450 | + | 3.11605i | −1.07466 | + | 0.100728i | ||||
\(958\) | 2.95558 | − | 0.911676i | 0.0954905 | − | 0.0294549i | ||||
\(959\) | 2.14796 | + | 4.03348i | 0.0693613 | + | 0.130248i | ||||
\(960\) | −46.6746 | − | 25.7987i | −1.50642 | − | 0.832651i | ||||
\(961\) | 15.1809 | + | 26.2941i | 0.489707 | + | 0.848197i | ||||
\(962\) | 0.659172 | + | 1.14172i | 0.0212526 | + | 0.0368105i | ||||
\(963\) | −7.74195 | + | 40.8980i | −0.249481 | + | 1.31792i | ||||
\(964\) | −29.1729 | + | 19.8897i | −0.939595 | + | 0.640605i | ||||
\(965\) | −39.0481 | − | 99.4930i | −1.25700 | − | 3.20279i | ||||
\(966\) | 3.77874 | − | 0.223932i | 0.121579 | − | 0.00720490i | ||||
\(967\) | −6.60773 | + | 16.8362i | −0.212490 | + | 0.541416i | −0.996887 | − | 0.0788429i | \(-0.974877\pi\) |
0.784397 | + | 0.620259i | \(0.212973\pi\) | |||||||
\(968\) | −1.12657 | − | 4.93582i | −0.0362093 | − | 0.158643i | ||||
\(969\) | 28.5371 | + | 1.60384i | 0.916745 | + | 0.0515227i | ||||
\(970\) | 4.87834 | + | 2.34928i | 0.156634 | + | 0.0754309i | ||||
\(971\) | 11.0276 | + | 28.0979i | 0.353893 | + | 0.901704i | 0.991353 | + | 0.131221i | \(0.0418898\pi\) |
−0.637460 | + | 0.770483i | \(0.720015\pi\) | |||||||
\(972\) | 25.6319 | + | 16.7901i | 0.822145 | + | 0.538541i | ||||
\(973\) | −5.68043 | − | 16.0719i | −0.182106 | − | 0.515243i | ||||
\(974\) | 5.77903 | − | 3.94007i | 0.185172 | − | 0.126248i | ||||
\(975\) | 109.728 | − | 27.2080i | 3.51411 | − | 0.871353i | ||||
\(976\) | 13.0070 | + | 12.0687i | 0.416344 | + | 0.386311i | ||||
\(977\) | 0.239542 | − | 3.19647i | 0.00766363 | − | 0.102264i | −0.992060 | − | 0.125764i | \(-0.959862\pi\) |
0.999724 | + | 0.0234998i | \(0.00748090\pi\) | |||||||
\(978\) | −7.21136 | − | 0.405291i | −0.230594 | − | 0.0129598i | ||||
\(979\) | −10.7561 | + | 18.6300i | −0.343765 | + | 0.595419i | ||||
\(980\) | −0.369564 | − | 58.9430i | −0.0118053 | − | 1.88287i | ||||
\(981\) | 5.83719 | − | 4.30727i | 0.186367 | − | 0.137520i | ||||
\(982\) | 7.64506 | − | 1.15231i | 0.243964 | − | 0.0367716i | ||||
\(983\) | 23.5422 | − | 11.3373i | 0.750881 | − | 0.361605i | −0.0189775 | − | 0.999820i | \(-0.506041\pi\) |
0.769858 | + | 0.638215i | \(0.220327\pi\) | |||||||
\(984\) | 3.45669 | − | 7.53432i | 0.110195 | − | 0.240185i | ||||
\(985\) | 75.6543 | − | 36.4332i | 2.41055 | − | 1.16086i | ||||
\(986\) | 0.294896 | + | 3.93512i | 0.00939141 | + | 0.125320i | ||||
\(987\) | −1.85058 | − | 6.34964i | −0.0589046 | − | 0.202111i | ||||
\(988\) | −2.53664 | + | 33.8491i | −0.0807012 | + | 1.07688i | ||||
\(989\) | 1.58325 | + | 4.03406i | 0.0503445 | + | 0.128276i | ||||
\(990\) | −9.89808 | + | 1.87194i | −0.314581 | + | 0.0594941i | ||||
\(991\) | −10.8475 | + | 27.6390i | −0.344583 | + | 0.877982i | 0.648570 | + | 0.761155i | \(0.275368\pi\) |
−0.993152 | + | 0.116827i | \(0.962728\pi\) | |||||||
\(992\) | 1.27263 | − | 1.18083i | 0.0404062 | − | 0.0374914i | ||||
\(993\) | 3.37901 | + | 6.69417i | 0.107230 | + | 0.212433i | ||||
\(994\) | 0.346957 | + | 0.981664i | 0.0110048 | + | 0.0311365i | ||||
\(995\) | −71.8426 | − | 10.8285i | −2.27756 | − | 0.343288i | ||||
\(996\) | 4.31385 | + | 3.31043i | 0.136690 | + | 0.104895i | ||||
\(997\) | −13.3085 | − | 58.3085i | −0.421486 | − | 1.84665i | −0.523722 | − | 0.851889i | \(-0.675457\pi\) |
0.102236 | − | 0.994760i | \(-0.467400\pi\) | |||||||
\(998\) | −2.23378 | − | 3.86902i | −0.0707090 | − | 0.122472i | ||||
\(999\) | 6.87297 | − | 3.15184i | 0.217451 | − | 0.0997199i |
(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 | 441.2.z.a.142.26 | yes | 648 | |
9.4 | even | 3 | 441.2.y.a.436.26 | yes | 648 | ||
49.39 | even | 21 | 441.2.y.a.88.26 | ✓ | 648 | ||
441.382 | even | 21 | inner | 441.2.z.a.382.26 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.y.a.88.26 | ✓ | 648 | 49.39 | even | 21 | ||
441.2.y.a.436.26 | yes | 648 | 9.4 | even | 3 | ||
441.2.z.a.142.26 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.z.a.382.26 | yes | 648 | 441.382 | even | 21 | inner |