Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(6,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.bc (of order \(12\), degree \(4\), 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: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 20.8 | ||
Character | \(\chi\) | \(=\) | 91.20 |
Dual form | 91.2.bc.a.41.8 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.61897 | − | 0.433802i | 1.14479 | − | 0.306744i | 0.363912 | − | 0.931433i | \(-0.381441\pi\) |
0.780873 | + | 0.624689i | \(0.214774\pi\) | |||||||
\(3\) | 0.552306 | + | 0.318874i | 0.318874 | + | 0.184102i | 0.650891 | − | 0.759171i | \(-0.274396\pi\) |
−0.332016 | + | 0.943274i | \(0.607729\pi\) | |||||||
\(4\) | 0.700831 | − | 0.404625i | 0.350416 | − | 0.202313i | ||||
\(5\) | −1.42145 | + | 1.42145i | −0.635693 | + | 0.635693i | −0.949490 | − | 0.313797i | \(-0.898399\pi\) |
0.313797 | + | 0.949490i | \(0.398399\pi\) | |||||||
\(6\) | 1.03250 | + | 0.276656i | 0.421515 | + | 0.112945i | ||||
\(7\) | 0.234216 | − | 2.63536i | 0.0885255 | − | 0.996074i | ||||
\(8\) | −1.41124 | + | 1.41124i | −0.498948 | + | 0.498948i | ||||
\(9\) | −1.29664 | − | 2.24584i | −0.432213 | − | 0.748615i | ||||
\(10\) | −1.68466 | + | 2.91792i | −0.532737 | + | 0.922727i | ||||
\(11\) | 0.254101 | + | 0.948318i | 0.0766144 | + | 0.285929i | 0.993595 | − | 0.113004i | \(-0.0360473\pi\) |
−0.916980 | + | 0.398933i | \(0.869381\pi\) | |||||||
\(12\) | 0.516098 | 0.148985 | ||||||||
\(13\) | −1.60977 | − | 3.22624i | −0.446471 | − | 0.894798i | ||||
\(14\) | −0.764036 | − | 4.36818i | −0.204197 | − | 1.16745i | ||||
\(15\) | −1.23834 | + | 0.331813i | −0.319739 | + | 0.0856737i | ||||
\(16\) | −2.48181 | + | 4.29862i | −0.620452 | + | 1.07465i | ||||
\(17\) | 2.99281 | + | 5.18370i | 0.725863 | + | 1.25723i | 0.958618 | + | 0.284696i | \(0.0918925\pi\) |
−0.232755 | + | 0.972535i | \(0.574774\pi\) | |||||||
\(18\) | −3.07347 | − | 3.07347i | −0.724424 | − | 0.724424i | ||||
\(19\) | 2.71200 | + | 0.726678i | 0.622175 | + | 0.166711i | 0.556116 | − | 0.831104i | \(-0.312291\pi\) |
0.0660587 | + | 0.997816i | \(0.478958\pi\) | |||||||
\(20\) | −0.421043 | + | 1.57135i | −0.0941481 | + | 0.351366i | ||||
\(21\) | 0.969709 | − | 1.38084i | 0.211608 | − | 0.301325i | ||||
\(22\) | 0.822765 | + | 1.42507i | 0.175414 | + | 0.303826i | ||||
\(23\) | 2.58851 | + | 1.49448i | 0.539742 | + | 0.311620i | 0.744974 | − | 0.667093i | \(-0.232462\pi\) |
−0.205233 | + | 0.978713i | \(0.565795\pi\) | |||||||
\(24\) | −1.22944 | + | 0.329429i | −0.250959 | + | 0.0672443i | ||||
\(25\) | 0.958941i | 0.191788i | ||||||||
\(26\) | −4.00573 | − | 4.52487i | −0.785588 | − | 0.887399i | ||||
\(27\) | − | 3.56710i | − | 0.686489i | ||||||
\(28\) | −0.902188 | − | 1.94172i | −0.170498 | − | 0.366950i | ||||
\(29\) | 3.65708 | − | 6.33425i | 0.679103 | − | 1.17624i | −0.296148 | − | 0.955142i | \(-0.595702\pi\) |
0.975251 | − | 0.221099i | \(-0.0709645\pi\) | |||||||
\(30\) | −1.86090 | + | 1.07439i | −0.339752 | + | 0.196156i | ||||
\(31\) | −6.11048 | + | 6.11048i | −1.09748 | + | 1.09748i | −0.102770 | + | 0.994705i | \(0.532771\pi\) |
−0.994705 | + | 0.102770i | \(0.967229\pi\) | |||||||
\(32\) | −1.12013 | + | 4.18037i | −0.198012 | + | 0.738992i | ||||
\(33\) | −0.162053 | + | 0.604789i | −0.0282097 | + | 0.105280i | ||||
\(34\) | 7.09397 | + | 7.09397i | 1.21661 | + | 1.21661i | ||||
\(35\) | 3.41312 | + | 4.07897i | 0.576922 | + | 0.689472i | ||||
\(36\) | −1.81745 | − | 1.04931i | −0.302908 | − | 0.174884i | ||||
\(37\) | −1.24143 | − | 4.63309i | −0.204090 | − | 0.761675i | −0.989725 | − | 0.142984i | \(-0.954330\pi\) |
0.785635 | − | 0.618690i | \(-0.212336\pi\) | |||||||
\(38\) | 4.70588 | 0.763395 | ||||||||
\(39\) | 0.139676 | − | 2.29519i | 0.0223661 | − | 0.367524i | ||||
\(40\) | − | 4.01202i | − | 0.634356i | ||||||
\(41\) | −0.886060 | − | 3.30682i | −0.138379 | − | 0.516439i | −0.999961 | − | 0.00881984i | \(-0.997193\pi\) |
0.861582 | − | 0.507619i | \(-0.169474\pi\) | |||||||
\(42\) | 0.970918 | − | 2.65621i | 0.149816 | − | 0.409861i | ||||
\(43\) | −0.748633 | + | 0.432224i | −0.114165 | + | 0.0659135i | −0.555995 | − | 0.831185i | \(-0.687663\pi\) |
0.441830 | + | 0.897099i | \(0.354329\pi\) | |||||||
\(44\) | 0.561795 | + | 0.561795i | 0.0846939 | + | 0.0846939i | ||||
\(45\) | 5.03547 | + | 1.34925i | 0.750644 | + | 0.201134i | ||||
\(46\) | 4.83903 | + | 1.29661i | 0.713476 | + | 0.191175i | ||||
\(47\) | −2.17001 | − | 2.17001i | −0.316529 | − | 0.316529i | 0.530903 | − | 0.847432i | \(-0.321853\pi\) |
−0.847432 | + | 0.530903i | \(0.821853\pi\) | |||||||
\(48\) | −2.74144 | + | 1.58277i | −0.395692 | + | 0.228453i | ||||
\(49\) | −6.89029 | − | 1.23449i | −0.984326 | − | 0.176356i | ||||
\(50\) | 0.415990 | + | 1.55250i | 0.0588299 | + | 0.219556i | ||||
\(51\) | 3.81732i | 0.534531i | ||||||||
\(52\) | −2.43360 | − | 1.60970i | −0.337479 | − | 0.223225i | ||||
\(53\) | 6.32446 | 0.868732 | 0.434366 | − | 0.900737i | \(-0.356972\pi\) | ||||
0.434366 | + | 0.900737i | \(0.356972\pi\) | |||||||
\(54\) | −1.54742 | − | 5.77504i | −0.210577 | − | 0.785883i | ||||
\(55\) | −1.70918 | − | 0.986797i | −0.230466 | − | 0.133060i | ||||
\(56\) | 3.38859 | + | 4.04966i | 0.452820 | + | 0.541159i | ||||
\(57\) | 1.26614 | + | 1.26614i | 0.167704 | + | 0.167704i | ||||
\(58\) | 3.17290 | − | 11.8414i | 0.416622 | − | 1.55485i | ||||
\(59\) | −0.131692 | + | 0.491481i | −0.0171448 | + | 0.0639854i | −0.973968 | − | 0.226684i | \(-0.927211\pi\) |
0.956823 | + | 0.290670i | \(0.0938781\pi\) | |||||||
\(60\) | −0.733609 | + | 0.733609i | −0.0947086 | + | 0.0947086i | ||||
\(61\) | 11.2829 | − | 6.51419i | 1.44463 | − | 0.834057i | 0.446475 | − | 0.894796i | \(-0.352679\pi\) |
0.998154 | + | 0.0607392i | \(0.0193458\pi\) | |||||||
\(62\) | −7.24196 | + | 12.5434i | −0.919729 | + | 1.59302i | ||||
\(63\) | −6.22231 | + | 2.89110i | −0.783937 | + | 0.364244i | ||||
\(64\) | − | 2.67342i | − | 0.334178i | ||||||
\(65\) | 6.87417 | + | 2.29773i | 0.852636 | + | 0.284998i | ||||
\(66\) | 1.04943i | 0.129176i | ||||||||
\(67\) | −0.827827 | + | 0.221815i | −0.101135 | + | 0.0270991i | −0.309032 | − | 0.951052i | \(-0.600005\pi\) |
0.207897 | + | 0.978151i | \(0.433338\pi\) | |||||||
\(68\) | 4.19491 | + | 2.42193i | 0.508707 | + | 0.293702i | ||||
\(69\) | 0.953100 | + | 1.65082i | 0.114740 | + | 0.198735i | ||||
\(70\) | 7.29521 | + | 5.12312i | 0.871944 | + | 0.612330i | ||||
\(71\) | −3.01121 | + | 11.2380i | −0.357365 | + | 1.33370i | 0.520117 | + | 0.854095i | \(0.325888\pi\) |
−0.877482 | + | 0.479609i | \(0.840778\pi\) | |||||||
\(72\) | 4.99929 | + | 1.33956i | 0.589172 | + | 0.157868i | ||||
\(73\) | −1.03002 | − | 1.03002i | −0.120555 | − | 0.120555i | 0.644255 | − | 0.764810i | \(-0.277167\pi\) |
−0.764810 | + | 0.644255i | \(0.777167\pi\) | |||||||
\(74\) | −4.01968 | − | 6.96230i | −0.467279 | − | 0.809350i | ||||
\(75\) | −0.305782 | + | 0.529629i | −0.0353086 | + | 0.0611563i | ||||
\(76\) | 2.19469 | − | 0.588064i | 0.251748 | − | 0.0674556i | ||||
\(77\) | 2.55868 | − | 0.447537i | 0.291588 | − | 0.0510016i | ||||
\(78\) | −0.769526 | − | 3.77644i | −0.0871316 | − | 0.427597i | ||||
\(79\) | −11.6027 | −1.30541 | −0.652705 | − | 0.757612i | \(-0.726366\pi\) | ||||
−0.652705 | + | 0.757612i | \(0.726366\pi\) | |||||||
\(80\) | −2.58251 | − | 9.63806i | −0.288733 | − | 1.07757i | ||||
\(81\) | −2.75246 | + | 4.76740i | −0.305829 | + | 0.529711i | ||||
\(82\) | −2.86901 | − | 4.96927i | −0.316829 | − | 0.548764i | ||||
\(83\) | −1.23779 | + | 1.23779i | −0.135865 | + | 0.135865i | −0.771768 | − | 0.635904i | \(-0.780628\pi\) |
0.635904 | + | 0.771768i | \(0.280628\pi\) | |||||||
\(84\) | 0.120879 | − | 1.36011i | 0.0131889 | − | 0.148400i | ||||
\(85\) | −11.6225 | − | 3.11424i | −1.26064 | − | 0.337787i | ||||
\(86\) | −1.02452 | + | 1.02452i | −0.110476 | + | 0.110476i | ||||
\(87\) | 4.03966 | − | 2.33230i | 0.433097 | − | 0.250049i | ||||
\(88\) | −1.69690 | − | 0.979707i | −0.180890 | − | 0.104437i | ||||
\(89\) | −7.75255 | + | 2.07729i | −0.821769 | + | 0.220192i | −0.645120 | − | 0.764082i | \(-0.723193\pi\) |
−0.176649 | + | 0.984274i | \(0.556526\pi\) | |||||||
\(90\) | 8.73759 | 0.921023 | ||||||||
\(91\) | −8.87935 | + | 3.48670i | −0.930809 | + | 0.365506i | ||||
\(92\) | 2.41881 | 0.252179 | ||||||||
\(93\) | −5.32334 | + | 1.42638i | −0.552004 | + | 0.147909i | ||||
\(94\) | −4.45454 | − | 2.57183i | −0.459451 | − | 0.265264i | ||||
\(95\) | −4.88792 | + | 2.82204i | −0.501490 | + | 0.289535i | ||||
\(96\) | −1.95167 | + | 1.95167i | −0.199191 | + | 0.199191i | ||||
\(97\) | −12.0756 | − | 3.23566i | −1.22609 | − | 0.328531i | −0.413037 | − | 0.910714i | \(-0.635532\pi\) |
−0.813058 | + | 0.582183i | \(0.802199\pi\) | |||||||
\(98\) | −11.6907 | + | 0.990414i | −1.18094 | + | 0.100047i | ||||
\(99\) | 1.80030 | − | 1.80030i | 0.180937 | − | 0.180937i | ||||
\(100\) | 0.388012 | + | 0.672056i | 0.0388012 | + | 0.0672056i | ||||
\(101\) | 3.99818 | − | 6.92504i | 0.397833 | − | 0.689068i | −0.595625 | − | 0.803263i | \(-0.703096\pi\) |
0.993458 | + | 0.114195i | \(0.0364289\pi\) | |||||||
\(102\) | 1.65596 | + | 6.18013i | 0.163964 | + | 0.611924i | ||||
\(103\) | 10.3386 | 1.01869 | 0.509344 | − | 0.860563i | \(-0.329888\pi\) | ||||
0.509344 | + | 0.860563i | \(0.329888\pi\) | |||||||
\(104\) | 6.82477 | + | 2.28122i | 0.669224 | + | 0.223692i | ||||
\(105\) | 0.584408 | + | 3.34120i | 0.0570323 | + | 0.326068i | ||||
\(106\) | 10.2391 | − | 2.74356i | 0.994511 | − | 0.266479i | ||||
\(107\) | −6.52593 | + | 11.3032i | −0.630885 | + | 1.09273i | 0.356486 | + | 0.934301i | \(0.383975\pi\) |
−0.987371 | + | 0.158425i | \(0.949358\pi\) | |||||||
\(108\) | −1.44334 | − | 2.49994i | −0.138885 | − | 0.240557i | ||||
\(109\) | −8.28013 | − | 8.28013i | −0.793093 | − | 0.793093i | 0.188903 | − | 0.981996i | \(-0.439507\pi\) |
−0.981996 | + | 0.188903i | \(0.939507\pi\) | |||||||
\(110\) | −3.19519 | − | 0.856149i | −0.304650 | − | 0.0816306i | ||||
\(111\) | 0.791721 | − | 2.95474i | 0.0751468 | − | 0.280452i | ||||
\(112\) | 10.7471 | + | 7.54727i | 1.01551 | + | 0.713150i | ||||
\(113\) | 4.05748 | + | 7.02777i | 0.381696 | + | 0.661117i | 0.991305 | − | 0.131586i | \(-0.0420069\pi\) |
−0.609609 | + | 0.792702i | \(0.708674\pi\) | |||||||
\(114\) | 2.59909 | + | 1.50058i | 0.243427 | + | 0.140543i | ||||
\(115\) | −5.80377 | + | 1.55512i | −0.541205 | + | 0.145015i | ||||
\(116\) | − | 5.91899i | − | 0.549565i | ||||||
\(117\) | −5.15834 | + | 7.79857i | −0.476888 | + | 0.720978i | ||||
\(118\) | 0.852822i | 0.0785086i | ||||||||
\(119\) | 14.3619 | − | 6.67303i | 1.31655 | − | 0.611716i | ||||
\(120\) | 1.27933 | − | 2.21587i | 0.116786 | − | 0.202280i | ||||
\(121\) | 8.69154 | − | 5.01806i | 0.790140 | − | 0.456188i | ||||
\(122\) | 15.4408 | − | 15.4408i | 1.39795 | − | 1.39795i | ||||
\(123\) | 0.565083 | − | 2.10892i | 0.0509518 | − | 0.190155i | ||||
\(124\) | −1.80996 | + | 6.75488i | −0.162540 | + | 0.606606i | ||||
\(125\) | −8.47036 | − | 8.47036i | −0.757612 | − | 0.757612i | ||||
\(126\) | −8.81957 | + | 7.37986i | −0.785710 | + | 0.657450i | ||||
\(127\) | 6.81853 | + | 3.93668i | 0.605047 | + | 0.349324i | 0.771024 | − | 0.636805i | \(-0.219745\pi\) |
−0.165977 | + | 0.986130i | \(0.553078\pi\) | |||||||
\(128\) | −3.39999 | − | 12.6889i | −0.300519 | − | 1.12155i | ||||
\(129\) | −0.551300 | −0.0485392 | ||||||||
\(130\) | 12.1258 | + | 0.737931i | 1.06351 | + | 0.0647208i | ||||
\(131\) | 19.9597i | 1.74389i | 0.489604 | + | 0.871945i | \(0.337141\pi\) | ||||
−0.489604 | + | 0.871945i | \(0.662859\pi\) | |||||||
\(132\) | 0.131141 | + | 0.489425i | 0.0114144 | + | 0.0425990i | ||||
\(133\) | 2.55025 | − | 6.97690i | 0.221135 | − | 0.604974i | ||||
\(134\) | −1.24400 | + | 0.718226i | −0.107466 | + | 0.0620452i | ||||
\(135\) | 5.07047 | + | 5.07047i | 0.436397 | + | 0.436397i | ||||
\(136\) | −11.5390 | − | 3.09187i | −0.989461 | − | 0.265125i | ||||
\(137\) | 10.3872 | + | 2.78324i | 0.887437 | + | 0.237788i | 0.673613 | − | 0.739084i | \(-0.264741\pi\) |
0.213824 | + | 0.976872i | \(0.431408\pi\) | |||||||
\(138\) | 2.25917 | + | 2.25917i | 0.192313 | + | 0.192313i | ||||
\(139\) | 14.1096 | − | 8.14616i | 1.19676 | − | 0.690949i | 0.236927 | − | 0.971527i | \(-0.423860\pi\) |
0.959831 | + | 0.280579i | \(0.0905264\pi\) | |||||||
\(140\) | 4.04248 | + | 1.47764i | 0.341652 | + | 0.124883i | ||||
\(141\) | −0.506551 | − | 1.89047i | −0.0426593 | − | 0.159207i | ||||
\(142\) | 19.5002i | 1.63642i | ||||||||
\(143\) | 2.65046 | − | 2.34637i | 0.221642 | − | 0.196213i | ||||
\(144\) | 12.8720 | 1.07267 | ||||||||
\(145\) | 3.80547 | + | 14.2022i | 0.316027 | + | 1.17943i | ||||
\(146\) | −2.11440 | − | 1.22075i | −0.174989 | − | 0.101030i | ||||
\(147\) | −3.41190 | − | 2.87895i | −0.281409 | − | 0.237452i | ||||
\(148\) | −2.74470 | − | 2.74470i | −0.225613 | − | 0.225613i | ||||
\(149\) | 4.84157 | − | 18.0690i | 0.396637 | − | 1.48027i | −0.422338 | − | 0.906438i | \(-0.638791\pi\) |
0.818975 | − | 0.573829i | \(-0.194543\pi\) | |||||||
\(150\) | −0.265297 | + | 0.990103i | −0.0216614 | + | 0.0808416i | ||||
\(151\) | −0.0257634 | + | 0.0257634i | −0.00209659 | + | 0.00209659i | −0.708154 | − | 0.706058i | \(-0.750472\pi\) |
0.706058 | + | 0.708154i | \(0.250472\pi\) | |||||||
\(152\) | −4.85280 | + | 2.80176i | −0.393614 | + | 0.227253i | ||||
\(153\) | 7.76118 | − | 13.4428i | 0.627454 | − | 1.08678i | ||||
\(154\) | 3.94828 | − | 1.83451i | 0.318162 | − | 0.147829i | ||||
\(155\) | − | 17.3715i | − | 1.39532i | ||||||
\(156\) | −0.830802 | − | 1.66506i | −0.0665174 | − | 0.133311i | ||||
\(157\) | 7.18863i | 0.573716i | 0.957973 | + | 0.286858i | \(0.0926107\pi\) | ||||
−0.957973 | + | 0.286858i | \(0.907389\pi\) | |||||||
\(158\) | −18.7845 | + | 5.03329i | −1.49442 | + | 0.400427i | ||||
\(159\) | 3.49304 | + | 2.01671i | 0.277016 | + | 0.159935i | ||||
\(160\) | −4.34999 | − | 7.53441i | −0.343897 | − | 0.595647i | ||||
\(161\) | 4.54476 | − | 6.47163i | 0.358177 | − | 0.510036i | ||||
\(162\) | −2.38804 | + | 8.91230i | −0.187622 | + | 0.700216i | ||||
\(163\) | 15.8950 | + | 4.25905i | 1.24499 | + | 0.333594i | 0.820400 | − | 0.571791i | \(-0.193751\pi\) |
0.424592 | + | 0.905385i | \(0.360418\pi\) | |||||||
\(164\) | −1.95900 | − | 1.95900i | −0.152972 | − | 0.152972i | ||||
\(165\) | −0.629328 | − | 1.09003i | −0.0489932 | − | 0.0848586i | ||||
\(166\) | −1.46699 | + | 2.54090i | −0.113860 | + | 0.197212i | ||||
\(167\) | −6.49344 | + | 1.73991i | −0.502478 | + | 0.134638i | −0.501150 | − | 0.865361i | \(-0.667089\pi\) |
−0.00132801 | + | 0.999999i | \(0.500423\pi\) | |||||||
\(168\) | 0.580208 | + | 3.31719i | 0.0447640 | + | 0.255927i | ||||
\(169\) | −7.81725 | + | 10.3870i | −0.601327 | + | 0.799003i | ||||
\(170\) | −20.1675 | −1.54678 | ||||||||
\(171\) | −1.88448 | − | 7.03296i | −0.144110 | − | 0.537824i | ||||
\(172\) | −0.349777 | + | 0.605832i | −0.0266702 | + | 0.0461942i | ||||
\(173\) | 4.75865 | + | 8.24223i | 0.361794 | + | 0.626645i | 0.988256 | − | 0.152807i | \(-0.0488312\pi\) |
−0.626462 | + | 0.779452i | \(0.715498\pi\) | |||||||
\(174\) | 5.52834 | − | 5.52834i | 0.419102 | − | 0.419102i | ||||
\(175\) | 2.52716 | + | 0.224600i | 0.191035 | + | 0.0169781i | ||||
\(176\) | −4.70709 | − | 1.26126i | −0.354810 | − | 0.0950711i | ||||
\(177\) | −0.229455 | + | 0.229455i | −0.0172469 | + | 0.0172469i | ||||
\(178\) | −11.6500 | + | 6.72614i | −0.873206 | + | 0.504146i | ||||
\(179\) | −5.20227 | − | 3.00353i | −0.388836 | − | 0.224495i | 0.292820 | − | 0.956168i | \(-0.405406\pi\) |
−0.681656 | + | 0.731673i | \(0.738740\pi\) | |||||||
\(180\) | 4.07496 | − | 1.09188i | 0.303729 | − | 0.0813841i | ||||
\(181\) | −6.05960 | −0.450407 | −0.225203 | − | 0.974312i | \(-0.572305\pi\) | ||||
−0.225203 | + | 0.974312i | \(0.572305\pi\) | |||||||
\(182\) | −12.8629 | + | 9.49675i | −0.953460 | + | 0.703946i | ||||
\(183\) | 8.30883 | 0.614207 | ||||||||
\(184\) | −5.76207 | + | 1.54394i | −0.424786 | + | 0.113821i | ||||
\(185\) | 8.35035 | + | 4.82108i | 0.613930 | + | 0.354453i | ||||
\(186\) | −7.99956 | + | 4.61855i | −0.586556 | + | 0.338648i | ||||
\(187\) | −4.15532 | + | 4.15532i | −0.303867 | + | 0.303867i | ||||
\(188\) | −2.39886 | − | 0.642771i | −0.174955 | − | 0.0468789i | ||||
\(189\) | −9.40062 | − | 0.835474i | −0.683794 | − | 0.0607718i | ||||
\(190\) | −6.68919 | + | 6.68919i | −0.485285 | + | 0.485285i | ||||
\(191\) | −10.8137 | − | 18.7298i | −0.782449 | − | 1.35524i | −0.930511 | − | 0.366263i | \(-0.880637\pi\) |
0.148062 | − | 0.988978i | \(-0.452696\pi\) | |||||||
\(192\) | 0.852485 | − | 1.47655i | 0.0615228 | − | 0.106561i | ||||
\(193\) | 2.50822 | + | 9.36080i | 0.180546 | + | 0.673805i | 0.995540 | + | 0.0943368i | \(0.0300731\pi\) |
−0.814995 | + | 0.579468i | \(0.803260\pi\) | |||||||
\(194\) | −20.9537 | −1.50439 | ||||||||
\(195\) | 3.06396 | + | 3.46105i | 0.219415 | + | 0.247851i | ||||
\(196\) | −5.32843 | + | 1.92281i | −0.380602 | + | 0.137344i | ||||
\(197\) | −4.47322 | + | 1.19859i | −0.318704 | + | 0.0853964i | −0.414624 | − | 0.909993i | \(-0.636087\pi\) |
0.0959210 | + | 0.995389i | \(0.469420\pi\) | |||||||
\(198\) | 2.13366 | − | 3.69560i | 0.151632 | − | 0.262635i | ||||
\(199\) | −10.7801 | − | 18.6717i | −0.764182 | − | 1.32360i | −0.940678 | − | 0.339300i | \(-0.889810\pi\) |
0.176496 | − | 0.984301i | \(-0.443524\pi\) | |||||||
\(200\) | −1.35330 | − | 1.35330i | −0.0956924 | − | 0.0956924i | ||||
\(201\) | −0.527945 | − | 0.141462i | −0.0372384 | − | 0.00997799i | ||||
\(202\) | 3.46883 | − | 12.9459i | 0.244066 | − | 0.910868i | ||||
\(203\) | −15.8365 | − | 11.1213i | −1.11151 | − | 0.780564i | ||||
\(204\) | 1.54458 | + | 2.67530i | 0.108142 | + | 0.187308i | ||||
\(205\) | 5.95998 | + | 3.44100i | 0.416263 | + | 0.240330i | ||||
\(206\) | 16.7378 | − | 4.48489i | 1.16618 | − | 0.312477i | ||||
\(207\) | − | 7.75118i | − | 0.538745i | ||||||
\(208\) | 17.8635 | + | 1.08710i | 1.23861 | + | 0.0753771i | ||||
\(209\) | 2.75649i | 0.190670i | ||||||||
\(210\) | 2.39556 | + | 5.15579i | 0.165309 | + | 0.355783i | ||||
\(211\) | 7.39505 | − | 12.8086i | 0.509096 | − | 0.881780i | −0.490848 | − | 0.871245i | \(-0.663313\pi\) |
0.999945 | − | 0.0105352i | \(-0.00335353\pi\) | |||||||
\(212\) | 4.43238 | − | 2.55904i | 0.304417 | − | 0.175755i | ||||
\(213\) | −5.24662 | + | 5.24662i | −0.359492 | + | 0.359492i | ||||
\(214\) | −5.66192 | + | 21.1306i | −0.387041 | + | 1.44446i | ||||
\(215\) | 0.449761 | − | 1.67853i | 0.0306735 | − | 0.114475i | ||||
\(216\) | 5.03404 | + | 5.03404i | 0.342523 | + | 0.342523i | ||||
\(217\) | 14.6722 | + | 17.5345i | 0.996012 | + | 1.19032i | ||||
\(218\) | −16.9972 | − | 9.81336i | −1.15120 | − | 0.664644i | ||||
\(219\) | −0.240440 | − | 0.897335i | −0.0162474 | − | 0.0606363i | ||||
\(220\) | −1.59713 | −0.107679 | ||||||||
\(221\) | 11.9061 | − | 18.0001i | 0.800891 | − | 1.21082i | ||||
\(222\) | − | 5.12709i | − | 0.344108i | ||||||
\(223\) | 5.52568 | + | 20.6221i | 0.370027 | + | 1.38096i | 0.860477 | + | 0.509490i | \(0.170166\pi\) |
−0.490450 | + | 0.871469i | \(0.663168\pi\) | |||||||
\(224\) | 10.7544 | + | 3.93105i | 0.718561 | + | 0.262654i | ||||
\(225\) | 2.15363 | − | 1.24340i | 0.143575 | − | 0.0828933i | ||||
\(226\) | 9.61760 | + | 9.61760i | 0.639753 | + | 0.639753i | ||||
\(227\) | 13.0566 | + | 3.49849i | 0.866594 | + | 0.232203i | 0.664615 | − | 0.747186i | \(-0.268596\pi\) |
0.201980 | + | 0.979390i | \(0.435262\pi\) | |||||||
\(228\) | 1.39966 | + | 0.375037i | 0.0926946 | + | 0.0248374i | ||||
\(229\) | −5.08550 | − | 5.08550i | −0.336059 | − | 0.336059i | 0.518823 | − | 0.854882i | \(-0.326371\pi\) |
−0.854882 | + | 0.518823i | \(0.826371\pi\) | |||||||
\(230\) | −8.72153 | + | 5.03538i | −0.575081 | + | 0.332023i | ||||
\(231\) | 1.55588 | + | 0.568719i | 0.102370 | + | 0.0374190i | ||||
\(232\) | 3.77813 | + | 14.1002i | 0.248046 | + | 0.925721i | ||||
\(233\) | 23.2048i | 1.52019i | 0.649809 | + | 0.760097i | \(0.274849\pi\) | ||||
−0.649809 | + | 0.760097i | \(0.725151\pi\) | |||||||
\(234\) | −4.96816 | + | 14.8634i | −0.324779 | + | 0.971648i | ||||
\(235\) | 6.16915 | 0.402431 | ||||||||
\(236\) | 0.106572 | + | 0.397731i | 0.00693723 | + | 0.0258901i | ||||
\(237\) | −6.40827 | − | 3.69982i | −0.416262 | − | 0.240329i | ||||
\(238\) | 20.3567 | − | 17.0337i | 1.31953 | − | 1.10413i | ||||
\(239\) | −2.77302 | − | 2.77302i | −0.179372 | − | 0.179372i | 0.611710 | − | 0.791082i | \(-0.290482\pi\) |
−0.791082 | + | 0.611710i | \(0.790482\pi\) | |||||||
\(240\) | 1.64699 | − | 6.14666i | 0.106313 | − | 0.396765i | ||||
\(241\) | 0.825382 | − | 3.08037i | 0.0531675 | − | 0.198424i | −0.934233 | − | 0.356662i | \(-0.883915\pi\) |
0.987401 | + | 0.158238i | \(0.0505814\pi\) | |||||||
\(242\) | 11.8945 | − | 11.8945i | 0.764608 | − | 0.764608i | ||||
\(243\) | −12.3080 | + | 7.10603i | −0.789559 | + | 0.455852i | ||||
\(244\) | 5.27161 | − | 9.13070i | 0.337480 | − | 0.584533i | ||||
\(245\) | 11.5490 | − | 8.03945i | 0.737838 | − | 0.513621i | ||||
\(246\) | − | 3.65941i | − | 0.233316i | ||||||
\(247\) | −2.02127 | − | 9.91935i | −0.128610 | − | 0.631153i | ||||
\(248\) | − | 17.2467i | − | 1.09517i | ||||||
\(249\) | −1.07834 | + | 0.288939i | −0.0683368 | + | 0.0183108i | ||||
\(250\) | −17.3877 | − | 10.0388i | −1.09970 | − | 0.634910i | ||||
\(251\) | 5.89697 | + | 10.2138i | 0.372213 | + | 0.644692i | 0.989906 | − | 0.141727i | \(-0.0452656\pi\) |
−0.617692 | + | 0.786420i | \(0.711932\pi\) | |||||||
\(252\) | −3.19098 | + | 4.54388i | −0.201013 | + | 0.286237i | ||||
\(253\) | −0.759496 | + | 2.83448i | −0.0477491 | + | 0.178202i | ||||
\(254\) | 12.7467 | + | 3.41548i | 0.799802 | + | 0.214306i | ||||
\(255\) | −5.42614 | − | 5.42614i | −0.339798 | − | 0.339798i | ||||
\(256\) | −8.33554 | − | 14.4376i | −0.520971 | − | 0.902349i | ||||
\(257\) | 8.34519 | − | 14.4543i | 0.520559 | − | 0.901634i | −0.479156 | − | 0.877730i | \(-0.659057\pi\) |
0.999714 | − | 0.0239041i | \(-0.00760964\pi\) | |||||||
\(258\) | −0.892538 | + | 0.239155i | −0.0555670 | + | 0.0148891i | ||||
\(259\) | −12.5006 | + | 2.18648i | −0.776751 | + | 0.135861i | ||||
\(260\) | 5.74735 | − | 1.17114i | 0.356436 | − | 0.0726310i | ||||
\(261\) | −18.9677 | −1.17407 | ||||||||
\(262\) | 8.65857 | + | 32.3142i | 0.534928 | + | 1.99638i | ||||
\(263\) | −4.75769 | + | 8.24055i | −0.293371 | + | 0.508134i | −0.974605 | − | 0.223932i | \(-0.928111\pi\) |
0.681233 | + | 0.732066i | \(0.261444\pi\) | |||||||
\(264\) | −0.624806 | − | 1.08220i | −0.0384542 | − | 0.0666046i | ||||
\(265\) | −8.98993 | + | 8.98993i | −0.552247 | + | 0.552247i | ||||
\(266\) | 1.10219 | − | 12.4017i | 0.0675799 | − | 0.760397i | ||||
\(267\) | −4.94418 | − | 1.32479i | −0.302579 | − | 0.0810758i | ||||
\(268\) | −0.490415 | + | 0.490415i | −0.0299569 | + | 0.0299569i | ||||
\(269\) | 0.275945 | − | 0.159317i | 0.0168247 | − | 0.00971373i | −0.491564 | − | 0.870841i | \(-0.663575\pi\) |
0.508389 | + | 0.861128i | \(0.330241\pi\) | |||||||
\(270\) | 10.4085 | + | 6.00936i | 0.633443 | + | 0.365718i | ||||
\(271\) | 25.9248 | − | 6.94654i | 1.57482 | − | 0.421972i | 0.637504 | − | 0.770447i | \(-0.279967\pi\) |
0.937318 | + | 0.348475i | \(0.113300\pi\) | |||||||
\(272\) | −29.7103 | −1.80145 | ||||||||
\(273\) | −6.01594 | − | 0.905668i | −0.364101 | − | 0.0548135i | ||||
\(274\) | 18.0239 | 1.08886 | ||||||||
\(275\) | −0.909381 | + | 0.243668i | −0.0548378 | + | 0.0146937i | ||||
\(276\) | 1.33593 | + | 0.771297i | 0.0804132 | + | 0.0464266i | ||||
\(277\) | −13.1218 | + | 7.57587i | −0.788412 | + | 0.455190i | −0.839403 | − | 0.543509i | \(-0.817095\pi\) |
0.0509909 | + | 0.998699i | \(0.483762\pi\) | |||||||
\(278\) | 19.3092 | − | 19.3092i | 1.15809 | − | 1.15809i | ||||
\(279\) | 21.6463 | + | 5.80010i | 1.29593 | + | 0.347243i | ||||
\(280\) | −10.5731 | − | 0.939681i | −0.631866 | − | 0.0561567i | ||||
\(281\) | 5.40600 | − | 5.40600i | 0.322495 | − | 0.322495i | −0.527228 | − | 0.849724i | \(-0.676769\pi\) |
0.849724 | + | 0.527228i | \(0.176769\pi\) | |||||||
\(282\) | −1.64018 | − | 2.84088i | −0.0976714 | − | 0.169172i | ||||
\(283\) | −0.896218 | + | 1.55229i | −0.0532746 | + | 0.0922743i | −0.891433 | − | 0.453153i | \(-0.850299\pi\) |
0.838158 | + | 0.545427i | \(0.183633\pi\) | |||||||
\(284\) | 2.43682 | + | 9.09435i | 0.144599 | + | 0.539650i | ||||
\(285\) | −3.59950 | −0.213216 | ||||||||
\(286\) | 3.27315 | − | 4.94848i | 0.193546 | − | 0.292610i | ||||
\(287\) | −8.92220 | + | 1.56058i | −0.526661 | + | 0.0921180i | ||||
\(288\) | 10.8409 | − | 2.90480i | 0.638803 | − | 0.171167i | ||||
\(289\) | −9.41380 | + | 16.3052i | −0.553753 | + | 0.959128i | ||||
\(290\) | 12.3219 | + | 21.3422i | 0.723567 | + | 1.25325i | ||||
\(291\) | −5.63768 | − | 5.63768i | −0.330487 | − | 0.330487i | ||||
\(292\) | −1.13864 | − | 0.305099i | −0.0666341 | − | 0.0178546i | ||||
\(293\) | −6.85691 | + | 25.5903i | −0.400585 | + | 1.49500i | 0.411471 | + | 0.911423i | \(0.365015\pi\) |
−0.812055 | + | 0.583580i | \(0.801651\pi\) | |||||||
\(294\) | −6.77266 | − | 3.18085i | −0.394990 | − | 0.185511i | ||||
\(295\) | −0.511424 | − | 0.885812i | −0.0297762 | − | 0.0515739i | ||||
\(296\) | 8.29035 | + | 4.78644i | 0.481867 | + | 0.278206i | ||||
\(297\) | 3.38275 | − | 0.906405i | 0.196287 | − | 0.0525950i | ||||
\(298\) | − | 31.3534i | − | 1.81625i | ||||||
\(299\) | 0.654624 | − | 10.7569i | 0.0378579 | − | 0.622089i | ||||
\(300\) | 0.494908i | 0.0285735i | ||||||||
\(301\) | 0.963724 | + | 2.07415i | 0.0555481 | + | 0.119552i | ||||
\(302\) | −0.0305339 | + | 0.0528863i | −0.00175703 | + | 0.00304327i | ||||
\(303\) | 4.41644 | − | 2.54983i | 0.253718 | − | 0.146484i | ||||
\(304\) | −9.85437 | + | 9.85437i | −0.565187 | + | 0.565187i | ||||
\(305\) | −6.77851 | + | 25.2978i | −0.388136 | + | 1.44855i | ||||
\(306\) | 6.73363 | − | 25.1302i | 0.384936 | − | 1.43660i | ||||
\(307\) | 1.54710 | + | 1.54710i | 0.0882978 | + | 0.0882978i | 0.749876 | − | 0.661578i | \(-0.230113\pi\) |
−0.661578 | + | 0.749876i | \(0.730113\pi\) | |||||||
\(308\) | 1.61212 | − | 1.34895i | 0.0918589 | − | 0.0768638i | ||||
\(309\) | 5.71005 | + | 3.29670i | 0.324833 | + | 0.187543i | ||||
\(310\) | −7.53581 | − | 28.1240i | −0.428005 | − | 1.59734i | ||||
\(311\) | −29.3344 | −1.66340 | −0.831699 | − | 0.555226i | \(-0.812632\pi\) | ||||
−0.831699 | + | 0.555226i | \(0.812632\pi\) | |||||||
\(312\) | 3.04194 | + | 3.43618i | 0.172216 | + | 0.194535i | ||||
\(313\) | − | 27.9847i | − | 1.58179i | −0.611954 | − | 0.790893i | \(-0.709616\pi\) | ||
0.611954 | − | 0.790893i | \(-0.290384\pi\) | |||||||
\(314\) | 3.11844 | + | 11.6382i | 0.175984 | + | 0.656781i | ||||
\(315\) | 4.73516 | − | 12.9543i | 0.266796 | − | 0.729891i | ||||
\(316\) | −8.13157 | + | 4.69476i | −0.457436 | + | 0.264101i | ||||
\(317\) | 5.56105 | + | 5.56105i | 0.312340 | + | 0.312340i | 0.845815 | − | 0.533476i | \(-0.179114\pi\) |
−0.533476 | + | 0.845815i | \(0.679114\pi\) | |||||||
\(318\) | 6.52998 | + | 1.74970i | 0.366183 | + | 0.0981185i | ||||
\(319\) | 6.93616 | + | 1.85854i | 0.388350 | + | 0.104058i | ||||
\(320\) | 3.80014 | + | 3.80014i | 0.212434 | + | 0.212434i | ||||
\(321\) | −7.20862 | + | 4.16190i | −0.402346 | + | 0.232295i | ||||
\(322\) | 4.55043 | − | 12.4489i | 0.253585 | − | 0.693751i | ||||
\(323\) | 4.34961 | + | 16.2330i | 0.242019 | + | 0.903227i | ||||
\(324\) | 4.45486i | 0.247492i | ||||||||
\(325\) | 3.09377 | − | 1.54368i | 0.171612 | − | 0.0856279i | ||||
\(326\) | 27.5811 | 1.52758 | ||||||||
\(327\) | −1.93285 | − | 7.21349i | −0.106887 | − | 0.398907i | ||||
\(328\) | 5.91716 | + | 3.41627i | 0.326720 | + | 0.188632i | ||||
\(329\) | −6.22703 | + | 5.21052i | −0.343307 | + | 0.287265i | ||||
\(330\) | −1.49172 | − | 1.49172i | −0.0821165 | − | 0.0821165i | ||||
\(331\) | 4.21415 | − | 15.7274i | 0.231630 | − | 0.864457i | −0.748008 | − | 0.663689i | \(-0.768990\pi\) |
0.979639 | − | 0.200767i | \(-0.0643436\pi\) | |||||||
\(332\) | −0.366640 | + | 1.36832i | −0.0201220 | + | 0.0750963i | ||||
\(333\) | −8.79550 | + | 8.79550i | −0.481990 | + | 0.481990i | ||||
\(334\) | −9.75792 | + | 5.63374i | −0.533929 | + | 0.308264i | ||||
\(335\) | 0.861417 | − | 1.49202i | 0.0470642 | − | 0.0815176i | ||||
\(336\) | 3.52908 | + | 7.59539i | 0.192527 | + | 0.414363i | ||||
\(337\) | − | 11.0114i | − | 0.599827i | −0.953966 | − | 0.299913i | \(-0.903042\pi\) | ||
0.953966 | − | 0.299913i | \(-0.0969578\pi\) | |||||||
\(338\) | −8.14999 | + | 20.2075i | −0.443301 | + | 1.09914i | ||||
\(339\) | 5.17531i | 0.281084i | ||||||||
\(340\) | −9.40553 | + | 2.52020i | −0.510086 | + | 0.136677i | ||||
\(341\) | −7.34737 | − | 4.24200i | −0.397882 | − | 0.229717i | ||||
\(342\) | −6.10183 | − | 10.5687i | −0.329949 | − | 0.571488i | ||||
\(343\) | −4.86715 | + | 17.8693i | −0.262801 | + | 0.964850i | ||||
\(344\) | 0.446530 | − | 1.66647i | 0.0240753 | − | 0.0898501i | ||||
\(345\) | −3.70135 | − | 0.991773i | −0.199274 | − | 0.0533953i | ||||
\(346\) | 11.2796 | + | 11.2796i | 0.606396 | + | 0.606396i | ||||
\(347\) | −2.36362 | − | 4.09391i | −0.126886 | − | 0.219772i | 0.795583 | − | 0.605845i | \(-0.207165\pi\) |
−0.922468 | + | 0.386073i | \(0.873831\pi\) | |||||||
\(348\) | 1.88741 | − | 3.26910i | 0.101176 | − | 0.175242i | ||||
\(349\) | 22.4353 | − | 6.01151i | 1.20093 | − | 0.321789i | 0.397734 | − | 0.917501i | \(-0.369797\pi\) |
0.803198 | + | 0.595712i | \(0.203130\pi\) | |||||||
\(350\) | 4.18883 | − | 0.732666i | 0.223902 | − | 0.0391626i | ||||
\(351\) | −11.5083 | + | 5.74223i | −0.614269 | + | 0.306498i | ||||
\(352\) | −4.24895 | −0.226470 | ||||||||
\(353\) | 3.40370 | + | 12.7028i | 0.181161 | + | 0.676101i | 0.995420 | + | 0.0955993i | \(0.0304767\pi\) |
−0.814259 | + | 0.580501i | \(0.802857\pi\) | |||||||
\(354\) | −0.271943 | + | 0.471019i | −0.0144536 | + | 0.0250344i | ||||
\(355\) | −11.6940 | − | 20.2546i | −0.620652 | − | 1.07500i | ||||
\(356\) | −4.59271 | + | 4.59271i | −0.243413 | + | 0.243413i | ||||
\(357\) | 10.0600 | + | 0.894078i | 0.532433 | + | 0.0473196i | ||||
\(358\) | −9.72526 | − | 2.60588i | −0.513996 | − | 0.137725i | ||||
\(359\) | 6.64709 | − | 6.64709i | 0.350820 | − | 0.350820i | −0.509594 | − | 0.860415i | \(-0.670205\pi\) |
0.860415 | + | 0.509594i | \(0.170205\pi\) | |||||||
\(360\) | −9.01037 | + | 5.20214i | −0.474888 | + | 0.274177i | ||||
\(361\) | −9.62761 | − | 5.55850i | −0.506716 | − | 0.292553i | ||||
\(362\) | −9.81032 | + | 2.62867i | −0.515619 | + | 0.138160i | ||||
\(363\) | 6.40052 | 0.335940 | ||||||||
\(364\) | −4.81212 | + | 6.03640i | −0.252224 | + | 0.316393i | ||||
\(365\) | 2.92826 | 0.153272 | ||||||||
\(366\) | 13.4518 | − | 3.60439i | 0.703135 | − | 0.188404i | ||||
\(367\) | 6.33897 | + | 3.65981i | 0.330892 | + | 0.191040i | 0.656237 | − | 0.754555i | \(-0.272147\pi\) |
−0.325345 | + | 0.945595i | \(0.605481\pi\) | |||||||
\(368\) | −12.8484 | + | 7.41801i | −0.669767 | + | 0.386690i | ||||
\(369\) | −6.27770 | + | 6.27770i | −0.326804 | + | 0.326804i | ||||
\(370\) | 15.6104 | + | 4.18279i | 0.811544 | + | 0.217453i | ||||
\(371\) | 1.48129 | − | 16.6673i | 0.0769049 | − | 0.865321i | ||||
\(372\) | −3.15361 | + | 3.15361i | −0.163507 | + | 0.163507i | ||||
\(373\) | 0.542562 | + | 0.939745i | 0.0280928 | + | 0.0486582i | 0.879730 | − | 0.475474i | \(-0.157723\pi\) |
−0.851637 | + | 0.524132i | \(0.824390\pi\) | |||||||
\(374\) | −4.92475 | + | 8.52992i | −0.254653 | + | 0.441072i | ||||
\(375\) | −1.97725 | − | 7.37921i | −0.102105 | − | 0.381061i | ||||
\(376\) | 6.12482 | 0.315863 | ||||||||
\(377\) | −26.3229 | − | 1.60191i | −1.35570 | − | 0.0825025i | ||||
\(378\) | −15.5818 | + | 2.72540i | −0.801439 | + | 0.140179i | ||||
\(379\) | −25.1695 | + | 6.74414i | −1.29287 | + | 0.346423i | −0.838749 | − | 0.544518i | \(-0.816713\pi\) |
−0.454119 | + | 0.890941i | \(0.650046\pi\) | |||||||
\(380\) | −2.28374 | + | 3.95555i | −0.117153 | + | 0.202915i | ||||
\(381\) | 2.51061 | + | 4.34851i | 0.128623 | + | 0.222781i | ||||
\(382\) | −25.6320 | − | 25.6320i | −1.31145 | − | 1.31145i | ||||
\(383\) | 5.14879 | + | 1.37961i | 0.263091 | + | 0.0704950i | 0.387953 | − | 0.921679i | \(-0.373182\pi\) |
−0.124862 | + | 0.992174i | \(0.539849\pi\) | |||||||
\(384\) | 2.16834 | − | 8.09234i | 0.110652 | − | 0.412961i | ||||
\(385\) | −3.00089 | + | 4.27320i | −0.152939 | + | 0.217782i | ||||
\(386\) | 8.12146 | + | 14.0668i | 0.413372 | + | 0.715981i | ||||
\(387\) | 1.94141 | + | 1.12088i | 0.0986876 | + | 0.0569773i | ||||
\(388\) | −9.77221 | + | 2.61846i | −0.496109 | + | 0.132932i | ||||
\(389\) | − | 3.43917i | − | 0.174373i | −0.996192 | − | 0.0871864i | \(-0.972212\pi\) | ||
0.996192 | − | 0.0871864i | \(-0.0277876\pi\) | |||||||
\(390\) | 6.46187 | + | 4.27418i | 0.327210 | + | 0.216432i | ||||
\(391\) | 17.8907i | 0.904773i | ||||||||
\(392\) | 11.4660 | − | 7.98168i | 0.579121 | − | 0.403136i | ||||
\(393\) | −6.36465 | + | 11.0239i | −0.321054 | + | 0.556082i | ||||
\(394\) | −6.72205 | + | 3.88098i | −0.338652 | + | 0.195521i | ||||
\(395\) | 16.4928 | − | 16.4928i | 0.829841 | − | 0.829841i | ||||
\(396\) | 0.533259 | − | 1.99015i | 0.0267973 | − | 0.100009i | ||||
\(397\) | −0.155514 | + | 0.580386i | −0.00780502 | + | 0.0291287i | −0.969719 | − | 0.244225i | \(-0.921466\pi\) |
0.961914 | + | 0.273354i | \(0.0881330\pi\) | |||||||
\(398\) | −25.5525 | − | 25.5525i | −1.28083 | − | 1.28083i | ||||
\(399\) | 3.63328 | − | 3.04018i | 0.181891 | − | 0.152199i | ||||
\(400\) | −4.12212 | − | 2.37991i | −0.206106 | − | 0.118995i | ||||
\(401\) | 3.10377 | + | 11.5834i | 0.154995 | + | 0.578448i | 0.999106 | + | 0.0422800i | \(0.0134621\pi\) |
−0.844111 | + | 0.536168i | \(0.819871\pi\) | |||||||
\(402\) | −0.916095 | −0.0456906 | ||||||||
\(403\) | 29.5504 | + | 9.87739i | 1.47201 | + | 0.492028i | ||||
\(404\) | − | 6.47105i | − | 0.321947i | ||||||
\(405\) | −2.86414 | − | 10.6891i | −0.142320 | − | 0.531147i | ||||
\(406\) | −30.4633 | − | 11.1352i | −1.51187 | − | 0.552631i | ||||
\(407\) | 4.07819 | − | 2.35454i | 0.202148 | − | 0.116710i | ||||
\(408\) | −5.38715 | − | 5.38715i | −0.266704 | − | 0.266704i | ||||
\(409\) | −11.2120 | − | 3.00424i | −0.554396 | − | 0.148550i | −0.0292657 | − | 0.999572i | \(-0.509317\pi\) |
−0.525131 | + | 0.851022i | \(0.675984\pi\) | |||||||
\(410\) | 11.1418 | + | 2.98542i | 0.550252 | + | 0.147440i | ||||
\(411\) | 4.84940 | + | 4.84940i | 0.239204 | + | 0.239204i | ||||
\(412\) | 7.24558 | − | 4.18324i | 0.356964 | − | 0.206093i | ||||
\(413\) | 1.26439 | + | 0.462169i | 0.0622164 | + | 0.0227419i | ||||
\(414\) | −3.36248 | − | 12.5489i | −0.165257 | − | 0.616747i | ||||
\(415\) | − | 3.51891i | − | 0.172737i | ||||||
\(416\) | 15.2900 | − | 3.11565i | 0.749655 | − | 0.152758i | ||||
\(417\) | 10.3904 | 0.508820 | ||||||||
\(418\) | 1.19577 | + | 4.46267i | 0.0584870 | + | 0.218276i | ||||
\(419\) | 30.9881 | + | 17.8910i | 1.51387 | + | 0.874032i | 0.999868 | + | 0.0162408i | \(0.00516982\pi\) |
0.513999 | + | 0.857791i | \(0.328164\pi\) | |||||||
\(420\) | 1.76150 | + | 2.10515i | 0.0859526 | + | 0.102721i | ||||
\(421\) | −3.47255 | − | 3.47255i | −0.169242 | − | 0.169242i | 0.617404 | − | 0.786646i | \(-0.288184\pi\) |
−0.786646 | + | 0.617404i | \(0.788184\pi\) | |||||||
\(422\) | 6.41597 | − | 23.9447i | 0.312325 | − | 1.16561i | ||||
\(423\) | −2.05979 | + | 7.68723i | −0.100150 | + | 0.373766i | ||||
\(424\) | −8.92533 | + | 8.92533i | −0.433452 | + | 0.433452i | ||||
\(425\) | −4.97086 | + | 2.86993i | −0.241122 | + | 0.139212i | ||||
\(426\) | −6.21813 | + | 10.7701i | −0.301269 | + | 0.521814i | ||||
\(427\) | −14.5246 | − | 31.2603i | −0.702896 | − | 1.51279i | ||||
\(428\) | 10.5622i | 0.510544i | ||||||||
\(429\) | 2.21206 | − | 0.450753i | 0.106799 | − | 0.0217625i | ||||
\(430\) | − | 2.91260i | − | 0.140458i | ||||||
\(431\) | −0.474207 | + | 0.127063i | −0.0228418 | + | 0.00612043i | −0.270222 | − | 0.962798i | \(-0.587097\pi\) |
0.247380 | + | 0.968919i | \(0.420430\pi\) | |||||||
\(432\) | 15.3336 | + | 8.85286i | 0.737739 | + | 0.425934i | ||||
\(433\) | −8.89347 | − | 15.4039i | −0.427393 | − | 0.740266i | 0.569248 | − | 0.822166i | \(-0.307235\pi\) |
−0.996641 | + | 0.0818999i | \(0.973901\pi\) | |||||||
\(434\) | 31.3603 | + | 22.0231i | 1.50534 | + | 1.05714i | ||||
\(435\) | −2.42693 | + | 9.05744i | −0.116363 | + | 0.434271i | ||||
\(436\) | −9.15333 | − | 2.45263i | −0.438365 | − | 0.117460i | ||||
\(437\) | 5.93403 | + | 5.93403i | 0.283863 | + | 0.283863i | ||||
\(438\) | −0.778531 | − | 1.34846i | −0.0371997 | − | 0.0644317i | ||||
\(439\) | −14.3012 | + | 24.7704i | −0.682559 | + | 1.18223i | 0.291639 | + | 0.956529i | \(0.405800\pi\) |
−0.974197 | + | 0.225698i | \(0.927534\pi\) | |||||||
\(440\) | 3.80467 | − | 1.01946i | 0.181381 | − | 0.0486008i | ||||
\(441\) | 6.16174 | + | 17.0752i | 0.293416 | + | 0.813104i | ||||
\(442\) | 11.4672 | − | 34.3065i | 0.545437 | − | 1.63179i | ||||
\(443\) | −7.37150 | −0.350231 | −0.175115 | − | 0.984548i | \(-0.556030\pi\) | ||||
−0.175115 | + | 0.984548i | \(0.556030\pi\) | |||||||
\(444\) | −0.640701 | − | 2.39113i | −0.0304063 | − | 0.113478i | ||||
\(445\) | 8.06712 | − | 13.9727i | 0.382418 | − | 0.662368i | ||||
\(446\) | 17.8918 | + | 30.9896i | 0.847203 | + | 1.46740i | ||||
\(447\) | 8.43576 | − | 8.43576i | 0.398998 | − | 0.398998i | ||||
\(448\) | −7.04544 | − | 0.626159i | −0.332866 | − | 0.0295832i | ||||
\(449\) | 22.5220 | + | 6.03476i | 1.06288 | + | 0.284798i | 0.747565 | − | 0.664189i | \(-0.231223\pi\) |
0.315315 | + | 0.948987i | \(0.397890\pi\) | |||||||
\(450\) | 2.94728 | − | 2.94728i | 0.138936 | − | 0.138936i | ||||
\(451\) | 2.91077 | − | 1.68053i | 0.137063 | − | 0.0791332i | ||||
\(452\) | 5.68722 | + | 3.28352i | 0.267504 | + | 0.154444i | ||||
\(453\) | −0.0224445 | + | 0.00601399i | −0.00105454 | + | 0.000282562i | ||||
\(454\) | 22.6558 | 1.06329 | ||||||||
\(455\) | 7.66540 | − | 17.5778i | 0.359359 | − | 0.824059i | ||||
\(456\) | −3.57364 | −0.167351 | ||||||||
\(457\) | 4.35841 | − | 1.16783i | 0.203878 | − | 0.0546289i | −0.155435 | − | 0.987846i | \(-0.549678\pi\) |
0.359313 | + | 0.933217i | \(0.383011\pi\) | |||||||
\(458\) | −10.4394 | − | 6.02718i | −0.487800 | − | 0.281631i | ||||
\(459\) | 18.4908 | − | 10.6757i | 0.863076 | − | 0.498297i | ||||
\(460\) | −3.43823 | + | 3.43823i | −0.160308 | + | 0.160308i | ||||
\(461\) | −32.1809 | − | 8.62285i | −1.49882 | − | 0.401606i | −0.586112 | − | 0.810230i | \(-0.699342\pi\) |
−0.912703 | + | 0.408623i | \(0.866009\pi\) | |||||||
\(462\) | 2.76564 | + | 0.245795i | 0.128669 | + | 0.0114354i | ||||
\(463\) | 29.0991 | − | 29.0991i | 1.35235 | − | 1.35235i | 0.469321 | − | 0.883028i | \(-0.344499\pi\) |
0.883028 | − | 0.469321i | \(-0.155501\pi\) | |||||||
\(464\) | 18.1524 | + | 31.4408i | 0.842702 | + | 1.45960i | ||||
\(465\) | 5.53934 | − | 9.59441i | 0.256881 | − | 0.444930i | ||||
\(466\) | 10.0663 | + | 37.5678i | 0.466311 | + | 1.74030i | ||||
\(467\) | −5.71733 | −0.264566 | −0.132283 | − | 0.991212i | \(-0.542231\pi\) | ||||
−0.132283 | + | 0.991212i | \(0.542231\pi\) | |||||||
\(468\) | −0.459626 | + | 7.55267i | −0.0212462 | + | 0.349122i | ||||
\(469\) | 0.390674 | + | 2.23358i | 0.0180396 | + | 0.103137i | ||||
\(470\) | 9.98767 | − | 2.67619i | 0.460697 | − | 0.123443i | ||||
\(471\) | −2.29227 | + | 3.97033i | −0.105622 | + | 0.182943i | ||||
\(472\) | −0.507749 | − | 0.879447i | −0.0233710 | − | 0.0404798i | ||||
\(473\) | −0.600114 | − | 0.600114i | −0.0275933 | − | 0.0275933i | ||||
\(474\) | −11.9798 | − | 3.20998i | −0.550250 | − | 0.147439i | ||||
\(475\) | −0.696841 | + | 2.60065i | −0.0319733 | + | 0.119326i | ||||
\(476\) | 7.36519 | − | 10.4879i | 0.337583 | − | 0.480710i | ||||
\(477\) | −8.20054 | − | 14.2038i | −0.375477 | − | 0.650345i | ||||
\(478\) | −5.69239 | − | 3.28650i | −0.260364 | − | 0.150321i | ||||
\(479\) | −32.1894 | + | 8.62513i | −1.47077 | + | 0.394092i | −0.903196 | − | 0.429229i | \(-0.858785\pi\) |
−0.567576 | + | 0.823321i | \(0.692119\pi\) | |||||||
\(480\) | − | 5.54840i | − | 0.253249i | ||||||
\(481\) | −12.9490 | + | 11.4634i | −0.590425 | + | 0.522685i | ||||
\(482\) | − | 5.34507i | − | 0.243461i | ||||||
\(483\) | 4.57374 | − | 2.12512i | 0.208112 | − | 0.0966962i | ||||
\(484\) | 4.06087 | − | 7.03363i | 0.184585 | − | 0.319711i | ||||
\(485\) | 21.7643 | − | 12.5656i | 0.988265 | − | 0.570575i | ||||
\(486\) | −16.8437 | + | 16.8437i | −0.764045 | + | 0.764045i | ||||
\(487\) | −3.91309 | + | 14.6038i | −0.177319 | + | 0.661763i | 0.818826 | + | 0.574041i | \(0.194625\pi\) |
−0.996145 | + | 0.0877214i | \(0.972041\pi\) | |||||||
\(488\) | −6.72980 | + | 25.1160i | −0.304644 | + | 1.13695i | ||||
\(489\) | 7.42080 | + | 7.42080i | 0.335580 | + | 0.335580i | ||||
\(490\) | 15.2099 | − | 18.0256i | 0.687115 | − | 0.814314i | ||||
\(491\) | −3.79911 | − | 2.19342i | −0.171451 | − | 0.0989875i | 0.411819 | − | 0.911266i | \(-0.364894\pi\) |
−0.583270 | + | 0.812278i | \(0.698227\pi\) | |||||||
\(492\) | −0.457294 | − | 1.70664i | −0.0206164 | − | 0.0769415i | ||||
\(493\) | 43.7798 | 1.97174 | ||||||||
\(494\) | −7.57541 | − | 15.1823i | −0.340834 | − | 0.683084i | ||||
\(495\) | 5.11808i | 0.230040i | ||||||||
\(496\) | −11.1016 | − | 41.4317i | −0.498476 | − | 1.86034i | ||||
\(497\) | 28.9109 | + | 10.5678i | 1.29683 | + | 0.474029i | ||||
\(498\) | −1.62045 | + | 0.935569i | −0.0726142 | + | 0.0419238i | ||||
\(499\) | 14.1707 | + | 14.1707i | 0.634366 | + | 0.634366i | 0.949160 | − | 0.314794i | \(-0.101936\pi\) |
−0.314794 | + | 0.949160i | \(0.601936\pi\) | |||||||
\(500\) | −9.36361 | − | 2.50897i | −0.418753 | − | 0.112205i | ||||
\(501\) | −4.14118 | − | 1.10963i | −0.185014 | − | 0.0495745i | ||||
\(502\) | 13.9778 | + | 13.9778i | 0.623860 | + | 0.623860i | ||||
\(503\) | 0.917016 | − | 0.529439i | 0.0408877 | − | 0.0236065i | −0.479417 | − | 0.877587i | \(-0.659152\pi\) |
0.520305 | + | 0.853981i | \(0.325818\pi\) | |||||||
\(504\) | 4.70113 | − | 12.8612i | 0.209405 | − | 0.572884i | ||||
\(505\) | 4.16041 | + | 15.5268i | 0.185136 | + | 0.690936i | ||||
\(506\) | 4.91841i | 0.218650i | ||||||||
\(507\) | −7.62968 | + | 3.24411i | −0.338846 | + | 0.144076i | ||||
\(508\) | 6.37152 | 0.282691 | ||||||||
\(509\) | −2.91008 | − | 10.8606i | −0.128987 | − | 0.481387i | 0.870963 | − | 0.491348i | \(-0.163496\pi\) |
−0.999950 | + | 0.00996149i | \(0.996829\pi\) | |||||||
\(510\) | −11.1386 | − | 6.43089i | −0.493227 | − | 0.284765i | ||||
\(511\) | −2.95573 | + | 2.47323i | −0.130754 | + | 0.109409i | ||||
\(512\) | −1.18017 | − | 1.18017i | −0.0521565 | − | 0.0521565i | ||||
\(513\) | 2.59214 | − | 9.67398i | 0.114446 | − | 0.427117i | ||||
\(514\) | 7.24032 | − | 27.0212i | 0.319357 | − | 1.19186i | ||||
\(515\) | −14.6958 | + | 14.6958i | −0.647573 | + | 0.647573i | ||||
\(516\) | −0.386368 | + | 0.223070i | −0.0170089 | + | 0.00982010i | ||||
\(517\) | 1.50646 | − | 2.60927i | 0.0662541 | − | 0.114755i | ||||
\(518\) | −19.2897 | + | 8.96264i | −0.847539 | + | 0.393796i | ||||
\(519\) | 6.06965i | 0.266428i | ||||||||
\(520\) | −12.9437 | + | 6.45845i | −0.567621 | + | 0.283222i | ||||
\(521\) | 16.9175i | 0.741168i | 0.928799 | + | 0.370584i | \(0.120843\pi\) | ||||
−0.928799 | + | 0.370584i | \(0.879157\pi\) | |||||||
\(522\) | −30.7081 | + | 8.22821i | −1.34406 | + | 0.360139i | ||||
\(523\) | 0.268849 | + | 0.155220i | 0.0117560 | + | 0.00678731i | 0.505866 | − | 0.862612i | \(-0.331173\pi\) |
−0.494111 | + | 0.869399i | \(0.664506\pi\) | |||||||
\(524\) | 8.07621 | + | 13.9884i | 0.352811 | + | 0.611086i | ||||
\(525\) | 1.32415 | + | 0.929894i | 0.0577905 | + | 0.0405839i | ||||
\(526\) | −4.12779 | + | 15.4051i | −0.179980 | + | 0.671695i | ||||
\(527\) | −49.9624 | − | 13.3874i | −2.17640 | − | 0.583164i | ||||
\(528\) | −2.19757 | − | 2.19757i | −0.0956370 | − | 0.0956370i | ||||
\(529\) | −7.03308 | − | 12.1816i | −0.305786 | − | 0.529637i | ||||
\(530\) | −10.6546 | + | 18.4543i | −0.462806 | + | 0.801603i | ||||
\(531\) | 1.27455 | − | 0.341514i | 0.0553106 | − | 0.0148204i | ||||
\(532\) | −1.03573 | − | 5.92153i | −0.0449047 | − | 0.256731i | ||||
\(533\) | −9.24224 | + | 8.18188i | −0.400326 | + | 0.354396i | ||||
\(534\) | −8.57918 | −0.371257 | ||||||||
\(535\) | −6.79073 | − | 25.3433i | −0.293589 | − | 1.09569i | ||||
\(536\) | 0.855227 | − | 1.48130i | 0.0369402 | − | 0.0639823i | ||||
\(537\) | −1.91550 | − | 3.31774i | −0.0826599 | − | 0.143171i | ||||
\(538\) | 0.377635 | − | 0.377635i | 0.0162810 | − | 0.0162810i | ||||
\(539\) | −0.580139 | − | 6.84787i | −0.0249884 | − | 0.294959i | ||||
\(540\) | 5.60519 | + | 1.50190i | 0.241209 | + | 0.0646317i | ||||
\(541\) | −22.0115 | + | 22.0115i | −0.946347 | + | 0.946347i | −0.998632 | − | 0.0522854i | \(-0.983349\pi\) |
0.0522854 | + | 0.998632i | \(0.483349\pi\) | |||||||
\(542\) | 38.9581 | − | 22.4925i | 1.67340 | − | 0.966135i | ||||
\(543\) | −3.34676 | − | 1.93225i | −0.143623 | − | 0.0829208i | ||||
\(544\) | −25.0221 | + | 6.70465i | −1.07281 | + | 0.287459i | ||||
\(545\) | 23.5396 | 1.00833 | ||||||||
\(546\) | −10.1325 | + | 1.14348i | −0.433632 | + | 0.0489363i | ||||
\(547\) | −13.8672 | −0.592920 | −0.296460 | − | 0.955045i | \(-0.595806\pi\) | ||||
−0.296460 | + | 0.955045i | \(0.595806\pi\) | |||||||
\(548\) | 8.40583 | − | 2.25234i | 0.359079 | − | 0.0962150i | ||||
\(549\) | −29.2597 | − | 16.8931i | −1.24877 | − | 0.720980i | ||||
\(550\) | −1.36656 | + | 0.788983i | −0.0582702 | + | 0.0336423i | ||||
\(551\) | 14.5210 | − | 14.5210i | 0.618614 | − | 0.618614i | ||||
\(552\) | −3.67475 | − | 0.984647i | −0.156408 | − | 0.0419094i | ||||
\(553\) | −2.71755 | + | 30.5775i | −0.115562 | + | 1.30029i | ||||
\(554\) | −17.9574 | + | 17.9574i | −0.762936 | + | 0.762936i | ||||
\(555\) | 3.07464 | + | 5.32542i | 0.130511 | + | 0.226052i | ||||
\(556\) | 6.59229 | − | 11.4182i | 0.279575 | − | 0.484238i | ||||
\(557\) | −5.87298 | − | 21.9183i | −0.248846 | − | 0.928706i | −0.971411 | − | 0.237403i | \(-0.923704\pi\) |
0.722565 | − | 0.691303i | \(-0.242963\pi\) | |||||||
\(558\) | 37.5608 | 1.59008 | ||||||||
\(559\) | 2.59959 | + | 1.71949i | 0.109951 | + | 0.0727266i | ||||
\(560\) | −26.0046 | + | 4.54846i | −1.09890 | + | 0.192208i | ||||
\(561\) | −3.62003 | + | 0.969985i | −0.152838 | + | 0.0409528i | ||||
\(562\) | 6.40703 | − | 11.0973i | 0.270264 | − | 0.468111i | ||||
\(563\) | −11.2217 | − | 19.4366i | −0.472940 | − | 0.819156i | 0.526580 | − | 0.850125i | \(-0.323474\pi\) |
−0.999520 | + | 0.0309690i | \(0.990141\pi\) | |||||||
\(564\) | −1.11994 | − | 1.11994i | −0.0471580 | − | 0.0471580i | ||||
\(565\) | −15.7572 | − | 4.22212i | −0.662909 | − | 0.177626i | ||||
\(566\) | −0.777562 | + | 2.90190i | −0.0326834 | + | 0.121976i | ||||
\(567\) | 11.9192 | + | 8.37033i | 0.500557 | + | 0.351521i | ||||
\(568\) | −11.6100 | − | 20.1090i | −0.487143 | − | 0.843756i | ||||
\(569\) | −11.1921 | − | 6.46175i | −0.469196 | − | 0.270891i | 0.246707 | − | 0.969090i | \(-0.420651\pi\) |
−0.715903 | + | 0.698200i | \(0.753985\pi\) | |||||||
\(570\) | −5.82749 | + | 1.56147i | −0.244087 | + | 0.0654029i | ||||
\(571\) | 17.4421i | 0.729930i | 0.931021 | + | 0.364965i | \(0.118919\pi\) | ||||
−0.931021 | + | 0.364965i | \(0.881081\pi\) | |||||||
\(572\) | 0.908123 | − | 2.71685i | 0.0379705 | − | 0.113597i | ||||
\(573\) | − | 13.7928i | − | 0.576202i | ||||||
\(574\) | −13.7678 | + | 6.39700i | −0.574657 | + | 0.267006i | ||||
\(575\) | −1.43312 | + | 2.48223i | −0.0597650 | + | 0.103516i | ||||
\(576\) | −6.00409 | + | 3.46646i | −0.250170 | + | 0.144436i | ||||
\(577\) | 10.2002 | − | 10.2002i | 0.424642 | − | 0.424642i | −0.462157 | − | 0.886798i | \(-0.652924\pi\) |
0.886798 | + | 0.462157i | \(0.152924\pi\) | |||||||
\(578\) | −8.16745 | + | 30.4813i | −0.339721 | + | 1.26786i | ||||
\(579\) | −1.59961 | + | 5.96984i | −0.0664776 | + | 0.248098i | ||||
\(580\) | 8.41357 | + | 8.41357i | 0.349354 | + | 0.349354i | ||||
\(581\) | 2.97211 | + | 3.55193i | 0.123304 | + | 0.147359i | ||||
\(582\) | −11.5729 | − | 6.68160i | −0.479711 | − | 0.276961i | ||||
\(583\) | 1.60705 | + | 5.99760i | 0.0665573 | + | 0.248395i | ||||
\(584\) | 2.90721 | 0.120301 | ||||||||
\(585\) | −3.75297 | − | 18.4176i | −0.155166 | − | 0.761475i | ||||
\(586\) | 44.4045i | 1.83433i | ||||||||
\(587\) | −4.97130 | − | 18.5532i | −0.205188 | − | 0.765771i | −0.989392 | − | 0.145268i | \(-0.953595\pi\) |
0.784205 | − | 0.620502i | \(-0.213071\pi\) | |||||||
\(588\) | −3.55606 | − | 0.637118i | −0.146650 | − | 0.0262743i | ||||
\(589\) | −21.0120 | + | 12.1313i | −0.865783 | + | 0.499860i | ||||
\(590\) | −1.21225 | − | 1.21225i | −0.0499074 | − | 0.0499074i | ||||
\(591\) | −2.85279 | − | 0.764402i | −0.117348 | − | 0.0314433i | ||||
\(592\) | 22.9969 | + | 6.16199i | 0.945165 | + | 0.253256i | ||||
\(593\) | −1.84156 | − | 1.84156i | −0.0756236 | − | 0.0756236i | 0.668283 | − | 0.743907i | \(-0.267029\pi\) |
−0.743907 | + | 0.668283i | \(0.767029\pi\) | |||||||
\(594\) | 5.08337 | − | 2.93489i | 0.208573 | − | 0.120420i | ||||
\(595\) | −10.9294 | + | 29.9002i | −0.448060 | + | 1.22579i | ||||
\(596\) | −3.91804 | − | 14.6223i | −0.160489 | − | 0.598954i | ||||
\(597\) | − | 13.7500i | − | 0.562750i | ||||||
\(598\) | −3.60656 | − | 17.6991i | −0.147483 | − | 0.723771i | ||||
\(599\) | 24.8100 | 1.01371 | 0.506855 | − | 0.862031i | \(-0.330808\pi\) | ||||
0.506855 | + | 0.862031i | \(0.330808\pi\) | |||||||
\(600\) | −0.315903 | − | 1.17896i | −0.0128967 | − | 0.0481310i | ||||
\(601\) | −15.2889 | − | 8.82708i | −0.623649 | − | 0.360064i | 0.154639 | − | 0.987971i | \(-0.450578\pi\) |
−0.778288 | + | 0.627907i | \(0.783912\pi\) | |||||||
\(602\) | 2.46001 | + | 2.93993i | 0.100263 | + | 0.119823i | ||||
\(603\) | 1.57155 | + | 1.57155i | 0.0639987 | + | 0.0639987i | ||||
\(604\) | −0.00763126 | + | 0.0284803i | −0.000310512 | + | 0.00115885i | ||||
\(605\) | −5.22168 | + | 19.4876i | −0.212291 | + | 0.792282i | ||||
\(606\) | 6.04396 | − | 6.04396i | 0.245519 | − | 0.245519i | ||||
\(607\) | 13.0545 | − | 7.53700i | 0.529864 | − | 0.305917i | −0.211097 | − | 0.977465i | \(-0.567704\pi\) |
0.740961 | + | 0.671548i | \(0.234370\pi\) | |||||||
\(608\) | −6.07556 | + | 10.5232i | −0.246397 | + | 0.426771i | ||||
\(609\) | −5.20030 | − | 11.1922i | −0.210727 | − | 0.453532i | ||||
\(610\) | 43.8969i | 1.77733i | ||||||||
\(611\) | −3.50775 | + | 10.4942i | −0.141908 | + | 0.424551i | ||||
\(612\) | − | 12.5615i | − | 0.507768i | ||||||
\(613\) | 33.8842 | − | 9.07924i | 1.36857 | − | 0.366707i | 0.501614 | − | 0.865092i | \(-0.332740\pi\) |
0.866956 | + | 0.498384i | \(0.166073\pi\) | |||||||
\(614\) | 3.17585 | + | 1.83358i | 0.128167 | + | 0.0739972i | ||||
\(615\) | 2.19449 | + | 3.80097i | 0.0884904 | + | 0.153270i | ||||
\(616\) | −2.97933 | + | 4.24249i | −0.120040 | + | 0.170935i | ||||
\(617\) | 9.01921 | − | 33.6601i | 0.363100 | − | 1.35511i | −0.506879 | − | 0.862017i | \(-0.669201\pi\) |
0.869979 | − | 0.493089i | \(-0.164132\pi\) | |||||||
\(618\) | 10.6745 | + | 2.86023i | 0.429392 | + | 0.115055i | ||||
\(619\) | 5.61860 | + | 5.61860i | 0.225830 | + | 0.225830i | 0.810948 | − | 0.585118i | \(-0.198952\pi\) |
−0.585118 | + | 0.810948i | \(0.698952\pi\) | |||||||
\(620\) | −7.02896 | − | 12.1745i | −0.282290 | − | 0.488940i | ||||
\(621\) | 5.33095 | − | 9.23348i | 0.213924 | − | 0.370527i | ||||
\(622\) | −47.4915 | + | 12.7253i | −1.90423 | + | 0.510238i | ||||
\(623\) | 3.65864 | + | 20.9173i | 0.146580 | + | 0.838035i | ||||
\(624\) | 9.51949 | + | 6.29663i | 0.381084 | + | 0.252067i | ||||
\(625\) | 19.2857 | 0.771429 | ||||||||
\(626\) | −12.1398 | − | 45.3063i | −0.485204 | − | 1.81081i | ||||
\(627\) | −0.878973 | + | 1.52243i | −0.0351028 | + | 0.0607998i | ||||
\(628\) | 2.90870 | + | 5.03802i | 0.116070 | + | 0.201039i | ||||
\(629\) | 20.3011 | − | 20.3011i | 0.809460 | − | 0.809460i | ||||
\(630\) | 2.04649 | − | 23.0267i | 0.0815340 | − | 0.917407i | ||||
\(631\) | 40.9973 | + | 10.9852i | 1.63208 | + | 0.437314i | 0.954517 | − | 0.298155i | \(-0.0963713\pi\) |
0.677559 | + | 0.735469i | \(0.263038\pi\) | |||||||
\(632\) | 16.3743 | − | 16.3743i | 0.651333 | − | 0.651333i | ||||
\(633\) | 8.16866 | − | 4.71618i | 0.324675 | − | 0.187451i | ||||
\(634\) | 11.4156 | + | 6.59079i | 0.453370 | + | 0.261754i | ||||
\(635\) | −15.2880 | + | 4.09642i | −0.606687 | + | 0.162561i | ||||
\(636\) | 3.26404 | 0.129428 | ||||||||
\(637\) | 7.10904 | + | 24.2170i | 0.281670 | + | 0.959511i | ||||
\(638\) | 12.0357 | 0.476497 | ||||||||
\(639\) | 29.1432 | − | 7.80890i | 1.15289 | − | 0.308915i | ||||
\(640\) | 22.8696 | + | 13.2038i | 0.904002 | + | 0.521926i | ||||
\(641\) | −17.7415 | + | 10.2431i | −0.700748 | + | 0.404577i | −0.807626 | − | 0.589695i | \(-0.799248\pi\) |
0.106878 | + | 0.994272i | \(0.465915\pi\) | |||||||
\(642\) | −9.86511 | + | 9.86511i | −0.389345 | + | 0.389345i | ||||
\(643\) | 20.9593 | + | 5.61604i | 0.826556 | + | 0.221475i | 0.647211 | − | 0.762311i | \(-0.275935\pi\) |
0.179345 | + | 0.983786i | \(0.442602\pi\) | |||||||
\(644\) | 0.566525 | − | 6.37445i | 0.0223242 | − | 0.251188i | ||||
\(645\) | 0.783647 | − | 0.783647i | 0.0308561 | − | 0.0308561i | ||||
\(646\) | 14.0838 | + | 24.3939i | 0.554120 | + | 0.959763i | ||||
\(647\) | −19.5669 | + | 33.8908i | −0.769252 | + | 1.33238i | 0.168716 | + | 0.985665i | \(0.446038\pi\) |
−0.937969 | + | 0.346720i | \(0.887296\pi\) | |||||||
\(648\) | −2.84356 | − | 10.6123i | −0.111706 | − | 0.416891i | ||||
\(649\) | −0.499544 | −0.0196088 | ||||||||
\(650\) | 4.33908 | − | 3.84126i | 0.170193 | − | 0.150666i | ||||
\(651\) | 2.51223 | + | 14.3630i | 0.0984619 | + | 0.562931i | ||||
\(652\) | 12.8630 | − | 3.44664i | 0.503755 | − | 0.134981i | ||||
\(653\) | 14.8092 | − | 25.6503i | 0.579528 | − | 1.00377i | −0.416005 | − | 0.909362i | \(-0.636570\pi\) |
0.995533 | − | 0.0944103i | \(-0.0300966\pi\) | |||||||
\(654\) | −6.25845 | − | 10.8400i | −0.244725 | − | 0.423876i | ||||
\(655\) | −28.3718 | − | 28.3718i | −1.10858 | − | 1.10858i | ||||
\(656\) | 16.4138 | + | 4.39806i | 0.640851 | + | 0.171715i | ||||
\(657\) | −0.977702 | + | 3.64883i | −0.0381438 | + | 0.142355i | ||||
\(658\) | −7.82104 | + | 11.1370i | −0.304896 | + | 0.434165i | ||||
\(659\) | 1.87682 | + | 3.25074i | 0.0731104 | + | 0.126631i | 0.900263 | − | 0.435346i | \(-0.143374\pi\) |
−0.827153 | + | 0.561977i | \(0.810041\pi\) | |||||||
\(660\) | −0.882106 | − | 0.509284i | −0.0343359 | − | 0.0198239i | ||||
\(661\) | 41.9725 | − | 11.2465i | 1.63254 | − | 0.437438i | 0.677889 | − | 0.735164i | \(-0.262895\pi\) |
0.954651 | + | 0.297726i | \(0.0962282\pi\) | |||||||
\(662\) | − | 27.2903i | − | 1.06067i | ||||||
\(663\) | 12.3156 | − | 6.14502i | 0.478298 | − | 0.238653i | ||||
\(664\) | − | 3.49363i | − | 0.135579i | ||||||
\(665\) | 6.29227 | + | 13.5424i | 0.244004 | + | 0.525152i | ||||
\(666\) | −10.4242 | + | 18.0552i | −0.403928 | + | 0.699623i | ||||
\(667\) | 18.9328 | − | 10.9309i | 0.733081 | − | 0.423244i | ||||
\(668\) | −3.84680 | + | 3.84680i | −0.148837 | + | 0.148837i | ||||
\(669\) | −3.52399 | + | 13.1517i | −0.136245 | + | 0.508475i | ||||
\(670\) | 0.747368 | − | 2.78922i | 0.0288734 | − | 0.107757i | ||||
\(671\) | 9.04453 | + | 9.04453i | 0.349160 | + | 0.349160i | ||||
\(672\) | 4.68624 | + | 5.60046i | 0.180775 | + | 0.216042i | ||||
\(673\) | 23.1880 | + | 13.3876i | 0.893833 | + | 0.516055i | 0.875194 | − | 0.483771i | \(-0.160733\pi\) |
0.0186390 | + | 0.999826i | \(0.494067\pi\) | |||||||
\(674\) | −4.77675 | − | 17.8271i | −0.183993 | − | 0.686673i | ||||
\(675\) | 3.42064 | 0.131661 | ||||||||
\(676\) | −1.27572 | + | 10.4426i | −0.0490661 | + | 0.401639i | ||||
\(677\) | − | 20.8667i | − | 0.801971i | −0.916084 | − | 0.400985i | \(-0.868668\pi\) | ||
0.916084 | − | 0.400985i | \(-0.131332\pi\) | |||||||
\(678\) | 2.24506 | + | 8.37867i | 0.0862209 | + | 0.321781i | ||||
\(679\) | −11.3554 | + | 31.0658i | −0.435782 | + | 1.19220i | ||||
\(680\) | 20.7971 | − | 12.0072i | 0.797532 | − | 0.460456i | ||||
\(681\) | 6.09564 | + | 6.09564i | 0.233585 | + | 0.233585i | ||||
\(682\) | −13.7354 | − | 3.68038i | −0.525954 | − | 0.140929i | ||||
\(683\) | −31.6796 | − | 8.48852i | −1.21219 | − | 0.324804i | −0.404567 | − | 0.914509i | \(-0.632578\pi\) |
−0.807619 | + | 0.589704i | \(0.799244\pi\) | |||||||
\(684\) | −4.16641 | − | 4.16641i | −0.159307 | − | 0.159307i | ||||
\(685\) | −18.7211 | + | 10.8087i | −0.715298 | + | 0.412977i | ||||
\(686\) | −0.128050 | + | 31.0412i | −0.00488897 | + | 1.18516i | ||||
\(687\) | −1.18712 | − | 4.43039i | −0.0452914 | − | 0.169030i | ||||
\(688\) | − | 4.29078i | − | 0.163585i | ||||||
\(689\) | −10.1810 | − | 20.4042i | −0.387864 | − | 0.777340i | ||||
\(690\) | −6.42261 | −0.244504 | ||||||||
\(691\) | −11.6421 | − | 43.4491i | −0.442888 | − | 1.65288i | −0.721453 | − | 0.692464i | \(-0.756525\pi\) |
0.278564 | − | 0.960418i | \(-0.410141\pi\) | |||||||
\(692\) | 6.67003 | + | 3.85094i | 0.253556 | + | 0.146391i | ||||
\(693\) | −4.32278 | − | 5.16610i | −0.164209 | − | 0.196244i | ||||
\(694\) | −5.60257 | − | 5.60257i | −0.212671 | − | 0.212671i | ||||
\(695\) | −8.47670 | + | 31.6355i | −0.321540 | + | 1.20000i | ||||
\(696\) | −2.40950 | + | 8.99236i | −0.0913317 | + | 0.340855i | ||||
\(697\) | 14.4897 | − | 14.4897i | 0.548838 | − | 0.548838i | ||||
\(698\) | 33.7142 | − | 19.4649i | 1.27610 | − | 0.736758i | ||||
\(699\) | −7.39940 | + | 12.8161i | −0.279871 | + | 0.484751i | ||||
\(700\) | 1.86199 | − | 0.865146i | 0.0703766 | − | 0.0326994i | ||||
\(701\) | − | 38.7293i | − | 1.46279i | −0.681956 | − | 0.731393i | \(-0.738871\pi\) | ||
0.681956 | − | 0.731393i | \(-0.261129\pi\) | |||||||
\(702\) | −16.1407 | + | 14.2888i | −0.609190 | + | 0.539298i | ||||
\(703\) | − | 13.4670i | − | 0.507919i | ||||||
\(704\) | 2.53525 | − | 0.679319i | 0.0955510 | − | 0.0256028i | ||||
\(705\) | 3.40726 | + | 1.96718i | 0.128325 | + | 0.0740884i | ||||
\(706\) | 11.0210 | + | 19.0889i | 0.414780 | + | 0.718420i | ||||
\(707\) | −17.3136 | − | 12.1586i | −0.651144 | − | 0.457272i | ||||
\(708\) | −0.0679660 | + | 0.253653i | −0.00255432 | + | 0.00953285i | ||||
\(709\) | −28.4986 | − | 7.63617i | −1.07029 | − | 0.286782i | −0.319675 | − | 0.947527i | \(-0.603574\pi\) |
−0.750611 | + | 0.660745i | \(0.770241\pi\) | |||||||
\(710\) | −27.7187 | − | 27.7187i | −1.04026 | − | 1.04026i | ||||
\(711\) | 15.0446 | + | 26.0580i | 0.564215 | + | 0.977250i | ||||
\(712\) | 8.00915 | − | 13.8723i | 0.300156 | − | 0.519885i | ||||
\(713\) | −24.9490 | + | 6.68507i | −0.934348 | + | 0.250358i | ||||
\(714\) | 16.6747 | − | 2.91657i | 0.624036 | − | 0.109150i | ||||
\(715\) | −0.432246 | + | 7.10276i | −0.0161651 | + | 0.265628i | ||||
\(716\) | −4.86122 | −0.181672 | ||||||||
\(717\) | −0.647313 | − | 2.41580i | −0.0241743 | − | 0.0902198i | ||||
\(718\) | 7.87793 | − | 13.6450i | 0.294002 | − | 0.509226i | ||||
\(719\) | −4.23114 | − | 7.32855i | −0.157795 | − | 0.273309i | 0.776278 | − | 0.630390i | \(-0.217105\pi\) |
−0.934073 | + | 0.357082i | \(0.883772\pi\) | |||||||
\(720\) | −18.2970 | + | 18.2970i | −0.681888 | + | 0.681888i | ||||
\(721\) | 2.42146 | − | 27.2459i | 0.0901799 | − | 1.01469i | ||||
\(722\) | −17.9981 | − | 4.82258i | −0.669820 | − | 0.179478i | ||||
\(723\) | 1.43811 | − | 1.43811i | 0.0534840 | − | 0.0534840i | ||||
\(724\) | −4.24676 | + | 2.45187i | −0.157830 | + | 0.0911229i | ||||
\(725\) | 6.07418 | + | 3.50693i | 0.225589 | + | 0.130244i | ||||
\(726\) | 10.3623 | − | 2.77656i | 0.384580 | − | 0.103048i | ||||
\(727\) | −3.27056 | −0.121299 | −0.0606493 | − | 0.998159i | \(-0.519317\pi\) | ||||
−0.0606493 | + | 0.998159i | \(0.519317\pi\) | |||||||
\(728\) | 7.61032 | − | 17.4515i | 0.282057 | − | 0.646794i | ||||
\(729\) | 7.45103 | 0.275964 | ||||||||
\(730\) | 4.74076 | − | 1.27028i | 0.175463 | − | 0.0470153i | ||||
\(731\) | −4.48103 | − | 2.58712i | −0.165737 | − | 0.0956882i | ||||
\(732\) | 5.82309 | − | 3.36196i | 0.215228 | − | 0.124262i | ||||
\(733\) | −9.76212 | + | 9.76212i | −0.360572 | + | 0.360572i | −0.864023 | − | 0.503451i | \(-0.832063\pi\) |
0.503451 | + | 0.864023i | \(0.332063\pi\) | |||||||
\(734\) | 11.8502 | + | 3.17526i | 0.437400 | + | 0.117201i | ||||
\(735\) | 8.94215 | − | 0.757563i | 0.329836 | − | 0.0279431i | ||||
\(736\) | −9.14692 | + | 9.14692i | −0.337160 | + | 0.337160i | ||||
\(737\) | −0.420703 | − | 0.728680i | −0.0154968 | − | 0.0268413i | ||||
\(738\) | −7.44014 | + | 12.8867i | −0.273875 | + | 0.474366i | ||||
\(739\) | 11.0030 | + | 41.0638i | 0.404753 | + | 1.51056i | 0.804512 | + | 0.593937i | \(0.202427\pi\) |
−0.399759 | + | 0.916620i | \(0.630906\pi\) | |||||||
\(740\) | 7.80292 | 0.286841 | ||||||||
\(741\) | 2.04666 | − | 6.12305i | 0.0751861 | − | 0.224936i | ||||
\(742\) | −4.83212 | − | 27.6264i | −0.177393 | − | 1.01420i | ||||
\(743\) | −47.1919 | + | 12.6450i | −1.73130 | + | 0.463901i | −0.980482 | − | 0.196606i | \(-0.937008\pi\) |
−0.750820 | + | 0.660507i | \(0.770341\pi\) | |||||||
\(744\) | 5.49953 | − | 9.52547i | 0.201623 | − | 0.349221i | ||||
\(745\) | 18.8021 | + | 32.5663i | 0.688857 | + | 1.19314i | ||||
\(746\) | 1.28606 | + | 1.28606i | 0.0470858 | + | 0.0470858i | ||||
\(747\) | 4.38484 | + | 1.17491i | 0.160433 | + | 0.0429879i | ||||
\(748\) | −1.23083 | + | 4.59352i | −0.0450036 | + | 0.167956i | ||||
\(749\) | 28.2597 | + | 19.8456i | 1.03259 | + | 0.725142i | ||||
\(750\) | −6.40223 | − | 11.0890i | −0.233776 | − | 0.404913i | ||||
\(751\) | −9.96838 | − | 5.75525i | −0.363751 | − | 0.210012i | 0.306974 | − | 0.951718i | \(-0.400684\pi\) |
−0.670725 | + | 0.741706i | \(0.734017\pi\) | |||||||
\(752\) | 14.7136 | − | 3.94250i | 0.536550 | − | 0.143768i | ||||
\(753\) | 7.52157i | 0.274101i | ||||||||
\(754\) | −43.3109 | + | 8.82548i | −1.57729 | + | 0.321405i | ||||
\(755\) | − | 0.0732428i | − | 0.00266558i | ||||||
\(756\) | −6.92630 | + | 3.21820i | −0.251907 | + | 0.117045i | ||||
\(757\) | −8.97468 | + | 15.5446i | −0.326190 | + | 0.564978i | −0.981753 | − | 0.190163i | \(-0.939098\pi\) |
0.655562 | + | 0.755141i | \(0.272432\pi\) | |||||||
\(758\) | −37.8230 | + | 21.8371i | −1.37379 | + | 0.793160i | ||||
\(759\) | −1.32332 | + | 1.32332i | −0.0480334 | + | 0.0480334i | ||||
\(760\) | 2.91545 | − | 10.8806i | 0.105754 | − | 0.394681i | ||||
\(761\) | 2.86608 | − | 10.6964i | 0.103895 | − | 0.387743i | −0.894322 | − | 0.447424i | \(-0.852342\pi\) |
0.998218 | + | 0.0596806i | \(0.0190082\pi\) | |||||||
\(762\) | 5.95100 | + | 5.95100i | 0.215582 | + | 0.215582i | ||||
\(763\) | −23.7605 | + | 19.8818i | −0.860188 | + | 0.719770i | ||||
\(764\) | −15.1571 | − | 8.75096i | −0.548365 | − | 0.316599i | ||||
\(765\) | 8.07610 | + | 30.1404i | 0.291992 | + | 1.08973i | ||||
\(766\) | 8.93422 | 0.322806 | ||||||||
\(767\) | 1.79763 | − | 0.366304i | 0.0649087 | − | 0.0132265i | ||||
\(768\) | − | 10.6320i | − | 0.383648i | ||||||
\(769\) | 2.87361 | + | 10.7245i | 0.103625 | + | 0.386734i | 0.998186 | − | 0.0602130i | \(-0.0191780\pi\) |
−0.894561 | + | 0.446947i | \(0.852511\pi\) | |||||||
\(770\) | −3.00463 | + | 8.21997i | −0.108279 | + | 0.296227i | ||||
\(771\) | 9.21820 | − | 5.32213i | 0.331986 | − | 0.191672i | ||||
\(772\) | 5.54545 | + | 5.54545i | 0.199585 | + | 0.199585i | ||||
\(773\) | −2.67962 | − | 0.718001i | −0.0963792 | − | 0.0258247i | 0.210307 | − | 0.977635i | \(-0.432554\pi\) |
−0.306686 | + | 0.951811i | \(0.599220\pi\) | |||||||
\(774\) | 3.62933 | + | 0.972476i | 0.130454 | + | 0.0349549i | ||||
\(775\) | −5.85959 | − | 5.85959i | −0.210483 | − | 0.210483i | ||||
\(776\) | 21.6079 | − | 12.4753i | 0.775678 | − | 0.447838i | ||||
\(777\) | −7.60139 | − | 2.77852i | −0.272698 | − | 0.0996789i | ||||
\(778\) | −1.49192 | − | 5.56791i | −0.0534879 | − | 0.199619i | ||||
\(779\) | − | 9.61197i | − | 0.344385i | ||||||
\(780\) | 3.54775 | + | 1.18585i | 0.127030 | + | 0.0424604i | ||||
\(781\) | −11.4223 | −0.408724 | ||||||||
\(782\) | 7.76103 | + | 28.9646i | 0.277534 | + | 1.03577i | ||||
\(783\) | −22.5949 | − | 13.0452i | −0.807477 | − | 0.466197i | ||||
\(784\) | 22.4070 | − | 26.5549i | 0.800249 | − | 0.948390i | ||||
\(785\) | −10.2183 | − | 10.2183i | −0.364707 | − | 0.364707i | ||||
\(786\) | −5.52199 | + | 20.6083i | −0.196963 | + | 0.735075i | ||||
\(787\) | 10.0968 | − | 37.6817i | 0.359912 | − | 1.34321i | −0.514278 | − | 0.857624i | \(-0.671940\pi\) |
0.874189 | − | 0.485585i | \(-0.161393\pi\) | |||||||
\(788\) | −2.64999 | + | 2.64999i | −0.0944020 | + | 0.0944020i | ||||
\(789\) | −5.25540 | + | 3.03421i | −0.187097 | + | 0.108021i | ||||
\(790\) | 19.5467 | − | 33.8559i | 0.695441 | − | 1.20454i | ||||
\(791\) | 19.4710 | − | 9.04692i | 0.692311 | − | 0.321672i | ||||
\(792\) | 5.08130i | 0.180556i | ||||||||
\(793\) | −39.1793 | − | 25.9150i | −1.39130 | − | 0.920269i | ||||
\(794\) | 1.00709i | 0.0357403i | ||||||||
\(795\) | −7.83185 | + | 2.09854i | −0.277767 | + | 0.0744275i | ||||
\(796\) | −15.1101 | − | 8.72381i | −0.535563 | − | 0.309207i | ||||
\(797\) | 16.0998 | + | 27.8857i | 0.570285 | + | 0.987763i | 0.996536 | + | 0.0831583i | \(0.0265007\pi\) |
−0.426251 | + | 0.904605i | \(0.640166\pi\) | |||||||
\(798\) | 4.56333 | − | 6.49808i | 0.161540 | − | 0.230030i | ||||
\(799\) | 4.75426 | − | 17.7431i | 0.168193 | − | 0.627707i | ||||
\(800\) | −4.00873 | − | 1.07414i | −0.141730 | − | 0.0379764i | ||||
\(801\) | 14.7175 | + | 14.7175i | 0.520018 | + | 0.520018i | ||||
\(802\) | 10.0498 | + | 17.4068i | 0.354871 | + | 0.614655i | ||||
\(803\) | 0.715059 | − | 1.23852i | 0.0252339 | − | 0.0437064i | ||||
\(804\) | −0.427240 | + | 0.114479i | −0.0150676 | + | 0.00403735i | ||||
\(805\) | 2.73896 | + | 15.6593i | 0.0965356 | + | 0.551917i | ||||
\(806\) | 52.1261 | + | 3.17219i | 1.83606 | + | 0.111736i | ||||
\(807\) | 0.203208 | 0.00715327 | ||||||||
\(808\) | 4.13051 | + | 15.4153i | 0.145311 | + | 0.542308i | ||||
\(809\) | −5.89662 | + | 10.2133i | −0.207314 | + | 0.359079i | −0.950868 | − | 0.309598i | \(-0.899806\pi\) |
0.743553 | + | 0.668677i | \(0.233139\pi\) | |||||||
\(810\) | −9.27392 | − | 16.0629i | −0.325852 | − | 0.564393i | ||||
\(811\) | −14.4330 | + | 14.4330i | −0.506811 | + | 0.506811i | −0.913546 | − | 0.406735i | \(-0.866667\pi\) |
0.406735 | + | 0.913546i | \(0.366667\pi\) | |||||||
\(812\) | −15.5987 | − | 1.38632i | −0.547407 | − | 0.0486505i | ||||
\(813\) | 16.5335 | + | 4.43015i | 0.579856 | + | 0.155372i | ||||
\(814\) | 5.58107 | − | 5.58107i | 0.195616 | − | 0.195616i | ||||
\(815\) | −28.6480 | + | 16.5399i | −1.00350 | + | 0.579369i | ||||
\(816\) | −16.4092 | − | 9.47385i | −0.574436 | − | 0.331651i | ||||
\(817\) | −2.34438 | + | 0.628174i | −0.0820194 | + | 0.0219770i | ||||
\(818\) | −19.4551 | −0.680232 | ||||||||
\(819\) | 19.3439 | + | 15.4206i | 0.675931 | + | 0.538841i | ||||
\(820\) | 5.56926 | 0.194487 | ||||||||
\(821\) | 8.75856 | − | 2.34685i | 0.305676 | − | 0.0819056i | −0.102721 | − | 0.994710i | \(-0.532755\pi\) |
0.408396 | + | 0.912805i | \(0.366088\pi\) | |||||||
\(822\) | 9.95473 | + | 5.74736i | 0.347211 | + | 0.200462i | ||||
\(823\) | −14.1019 | + | 8.14175i | −0.491562 | + | 0.283804i | −0.725222 | − | 0.688515i | \(-0.758263\pi\) |
0.233660 | + | 0.972318i | \(0.424930\pi\) | |||||||
\(824\) | −14.5902 | + | 14.5902i | −0.508273 | + | 0.508273i | ||||
\(825\) | −0.579957 | − | 0.155399i | −0.0201915 | − | 0.00541030i | ||||
\(826\) | 2.24750 | + | 0.199745i | 0.0782004 | + | 0.00695001i | ||||
\(827\) | −27.1227 | + | 27.1227i | −0.943148 | + | 0.943148i | −0.998469 | − | 0.0553203i | \(-0.982382\pi\) |
0.0553203 | + | 0.998469i | \(0.482382\pi\) | |||||||
\(828\) | −3.13632 | − | 5.43227i | −0.108995 | − | 0.188785i | ||||
\(829\) | 1.40529 | − | 2.43404i | 0.0488079 | − | 0.0845377i | −0.840589 | − | 0.541673i | \(-0.817791\pi\) |
0.889397 | + | 0.457135i | \(0.151124\pi\) | |||||||
\(830\) | −1.52651 | − | 5.69702i | −0.0529860 | − | 0.197746i | ||||
\(831\) | −9.66300 | −0.335206 | ||||||||
\(832\) | −8.62510 | + | 4.30360i | −0.299021 | + | 0.149201i | ||||
\(833\) | −14.2221 | − | 39.4117i | −0.492766 | − | 1.36554i | ||||
\(834\) | 16.8218 | − | 4.50738i | 0.582490 | − | 0.156078i | ||||
\(835\) | 6.75692 | − | 11.7033i | 0.233833 | − | 0.405010i | ||||
\(836\) | 1.11534 | + | 1.93183i | 0.0385750 | + | 0.0668138i | ||||
\(837\) | 21.7967 | + | 21.7967i | 0.753405 | + | 0.753405i | ||||
\(838\) | 57.9299 | + | 15.5223i | 2.00116 | + | 0.536208i | ||||
\(839\) | 9.79321 | − | 36.5488i | 0.338099 | − | 1.26180i | −0.562371 | − | 0.826885i | \(-0.690111\pi\) |
0.900470 | − | 0.434918i | \(-0.143223\pi\) | |||||||
\(840\) | −5.53997 | − | 3.89049i | −0.191147 | − | 0.134235i | ||||
\(841\) | −12.2485 | − | 21.2150i | −0.422363 | − | 0.731553i | ||||
\(842\) | −7.12836 | − | 4.11556i | −0.245660 | − | 0.141832i | ||||
\(843\) | 4.70961 | − | 1.26194i | 0.162207 | − | 0.0434634i | ||||
\(844\) | − | 11.9689i | − | 0.411986i | ||||||
\(845\) | −3.65283 | − | 25.8765i | −0.125661 | − | 0.890180i | ||||
\(846\) | 13.3389i | 0.458602i | ||||||||
\(847\) | −11.1887 | − | 24.0807i | −0.384449 | − | 0.827422i | ||||
\(848\) | −15.6961 | + | 27.1864i | −0.539006 | + | 0.933586i | ||||
\(849\) | −0.989973 | + | 0.571561i | −0.0339758 | + | 0.0196159i | ||||
\(850\) | −6.80270 | + | 6.80270i | −0.233331 | + | 0.233331i | ||||
\(851\) | 3.71058 | − | 13.8481i | 0.127197 | − | 0.474706i | ||||
\(852\) | −1.55408 | + | 5.79991i | −0.0532419 | + | 0.198702i | ||||
\(853\) | −7.88711 | − | 7.88711i | −0.270050 | − | 0.270050i | 0.559070 | − | 0.829120i | \(-0.311158\pi\) |
−0.829120 | + | 0.559070i | \(0.811158\pi\) | |||||||
\(854\) | −37.0757 | − | 44.3087i | −1.26871 | − | 1.51621i | ||||
\(855\) | 12.6757 | + | 7.31833i | 0.433501 | + | 0.250282i | ||||
\(856\) | −6.74193 | − | 25.1612i | −0.230434 | − | 0.859993i | ||||
\(857\) | −17.7293 | −0.605621 | −0.302811 | − | 0.953051i | \(-0.597925\pi\) | ||||
−0.302811 | + | 0.953051i | \(0.597925\pi\) | |||||||
\(858\) | 3.38573 | − | 1.68935i | 0.115587 | − | 0.0576735i | ||||
\(859\) | − | 3.70465i | − | 0.126401i | −0.998001 | − | 0.0632005i | \(-0.979869\pi\) | ||
0.998001 | − | 0.0632005i | \(-0.0201308\pi\) | |||||||
\(860\) | −0.363970 | − | 1.35835i | −0.0124113 | − | 0.0463195i | ||||
\(861\) | −5.42542 | − | 1.98314i | −0.184898 | − | 0.0675854i | ||||
\(862\) | −0.712607 | + | 0.411424i | −0.0242715 | + | 0.0140132i | ||||
\(863\) | 27.8842 | + | 27.8842i | 0.949191 | + | 0.949191i | 0.998770 | − | 0.0495793i | \(-0.0157881\pi\) |
−0.0495793 | + | 0.998770i | \(0.515788\pi\) | |||||||
\(864\) | 14.9118 | + | 3.99561i | 0.507310 | + | 0.135933i | ||||
\(865\) | −18.4801 | − | 4.95174i | −0.628344 | − | 0.168364i | ||||
\(866\) | −21.0805 | − | 21.0805i | −0.716345 | − | 0.716345i | ||||
\(867\) | −10.3986 | + | 6.00364i | −0.353155 | + | 0.203894i | ||||
\(868\) | 17.3776 | + | 6.35201i | 0.589835 | + | 0.215601i | ||||
\(869\) | −2.94827 | − | 11.0031i | −0.100013 | − | 0.373254i | ||||
\(870\) | 15.7165i | 0.532841i | ||||||||
\(871\) | 2.04824 | + | 2.31369i | 0.0694021 | + | 0.0783966i | ||||
\(872\) | 23.3705 | 0.791425 | ||||||||
\(873\) | 8.39095 | + | 31.3155i | 0.283991 | + | 1.05987i | ||||
\(874\) | 12.1812 | + | 7.03283i | 0.412036 | + | 0.237889i | ||||
\(875\) | −24.3064 | + | 20.3386i | −0.821705 | + | 0.687569i | ||||
\(876\) | −0.531592 | − | 0.531592i | −0.0179608 | − | 0.0179608i | ||||
\(877\) | −10.3037 | + | 38.4541i | −0.347933 | + | 1.29850i | 0.541215 | + | 0.840884i | \(0.317964\pi\) |
−0.889148 | + | 0.457619i | \(0.848702\pi\) | |||||||
\(878\) | −12.4078 | + | 46.3064i | −0.418742 | + | 1.56277i | ||||
\(879\) | −11.9472 | + | 11.9472i | −0.402970 | + | 0.402970i | ||||
\(880\) | 8.48373 | − | 4.89808i | 0.285986 | − | 0.165114i | ||||
\(881\) | 1.49665 | − | 2.59227i | 0.0504233 | − | 0.0873357i | −0.839712 | − | 0.543032i | \(-0.817276\pi\) |
0.890135 | + | 0.455696i | \(0.150610\pi\) | |||||||
\(882\) | 17.3829 | + | 24.9713i | 0.585313 | + | 0.840826i | ||||
\(883\) | − | 1.38623i | − | 0.0466504i | −0.999728 | − | 0.0233252i | \(-0.992575\pi\) | ||
0.999728 | − | 0.0233252i | \(-0.00742531\pi\) | |||||||
\(884\) | 1.06088 | − | 17.4325i | 0.0356811 | − | 0.586320i | ||||
\(885\) | − | 0.652319i | − | 0.0219275i | ||||||
\(886\) | −11.9342 | + | 3.19777i | −0.400939 | + | 0.107431i | ||||
\(887\) | 30.8094 | + | 17.7878i | 1.03448 | + | 0.597256i | 0.918264 | − | 0.395968i | \(-0.129591\pi\) |
0.116214 | + | 0.993224i | \(0.462924\pi\) | |||||||
\(888\) | 3.05254 | + | 5.28716i | 0.102437 | + | 0.177425i | ||||
\(889\) | 11.9716 | − | 17.0473i | 0.401515 | − | 0.571747i | ||||
\(890\) | 6.99906 | − | 26.1209i | 0.234609 | − | 0.875573i | ||||
\(891\) | −5.22041 | − | 1.39881i | −0.174890 | − | 0.0468617i | ||||
\(892\) | 12.2168 | + | 12.2168i | 0.409049 | + | 0.409049i | ||||
\(893\) | −4.30817 | − | 7.46197i | −0.144168 | − | 0.249705i | ||||
\(894\) | 9.99780 | − | 17.3167i | 0.334376 | − | 0.579157i | ||||
\(895\) | 11.6642 | − | 3.12540i | 0.389890 | − | 0.104471i | ||||
\(896\) | −34.2363 | + | 5.98825i | −1.14375 | + | 0.200053i | ||||
\(897\) | 3.79166 | − | 5.73238i | 0.126600 | − | 0.191398i | ||||
\(898\) | 39.0804 | 1.30413 | ||||||||
\(899\) | 16.3588 | + | 61.0519i | 0.545597 | + | 2.03620i | ||||
\(900\) | 1.00622 | − | 1.74283i | 0.0335407 | − | 0.0580942i | ||||
\(901\) | 18.9279 | + | 32.7841i | 0.630580 | + | 1.09220i | ||||
\(902\) | 3.98343 | − | 3.98343i | 0.132634 | − | 0.132634i | ||||
\(903\) | −0.129123 | + | 1.45288i | −0.00429696 | + | 0.0483487i | ||||
\(904\) | −15.6439 | − | 4.19178i | −0.520310 | − | 0.139417i | ||||
\(905\) | 8.61344 | − | 8.61344i | 0.286320 | − | 0.286320i | ||||
\(906\) | −0.0337282 | + | 0.0194730i | −0.00112054 | + | 0.000646946i | ||||
\(907\) | −43.1379 | − | 24.9057i | −1.43237 | − | 0.826979i | −0.435068 | − | 0.900398i | \(-0.643276\pi\) |
−0.997301 | + | 0.0734190i | \(0.976609\pi\) | |||||||
\(908\) | 10.5660 | − | 2.83116i | 0.350646 | − | 0.0939553i | ||||
\(909\) | −20.7368 | −0.687795 | ||||||||
\(910\) | 4.78479 | − | 31.7832i | 0.158614 | − | 1.05360i | ||||
\(911\) | −55.7036 | −1.84554 | −0.922772 | − | 0.385347i | \(-0.874082\pi\) | ||||
−0.922772 | + | 0.385347i | \(0.874082\pi\) | |||||||
\(912\) | −8.58493 | + | 2.30033i | −0.284276 | + | 0.0761714i | ||||
\(913\) | −1.48834 | − | 0.859293i | −0.0492568 | − | 0.0284385i | ||||
\(914\) | 6.54953 | − | 3.78137i | 0.216639 | − | 0.125077i | ||||
\(915\) | −11.8106 | + | 11.8106i | −0.390447 | + | 0.390447i | ||||
\(916\) | −5.62180 | − | 1.50636i | −0.185749 | − | 0.0497714i | ||||
\(917\) | 52.6012 | + | 4.67490i | 1.73704 | + | 0.154379i | ||||
\(918\) | 25.3049 | − | 25.3049i | 0.835187 | − | 0.835187i | ||||
\(919\) | 10.0323 | + | 17.3764i | 0.330934 | + | 0.573194i | 0.982695 | − | 0.185230i | \(-0.0593030\pi\) |
−0.651762 | + | 0.758424i | \(0.725970\pi\) | |||||||
\(920\) | 5.99587 | − | 10.3852i | 0.197678 | − | 0.342388i | ||||
\(921\) | 0.361144 | + | 1.34781i | 0.0119001 | + | 0.0444117i | ||||
\(922\) | −55.8406 | −1.83901 | ||||||||
\(923\) | 41.1038 | − | 8.37574i | 1.35295 | − | 0.275691i | ||||
\(924\) | 1.32053 | − | 0.230973i | 0.0434422 | − | 0.00759846i | ||||
\(925\) | 4.44286 | − | 1.19046i | 0.146080 | − | 0.0391421i | ||||
\(926\) | 34.4873 | − | 59.7338i | 1.13332 | − | 1.96297i | ||||
\(927\) | −13.4054 | − | 23.2188i | −0.440290 | − | 0.762605i | ||||
\(928\) | 22.3831 | + | 22.3831i | 0.734762 | + | 0.734762i | ||||
\(929\) | −30.5947 | − | 8.19783i | −1.00378 | − | 0.268962i | −0.280752 | − | 0.959780i | \(-0.590584\pi\) |
−0.723029 | + | 0.690818i | \(0.757251\pi\) | |||||||
\(930\) | 4.80595 | − | 17.9360i | 0.157593 | − | 0.588146i | ||||
\(931\) | −17.7894 | − | 8.35495i | −0.583023 | − | 0.273823i | ||||
\(932\) | 9.38923 | + | 16.2626i | 0.307555 | + | 0.532700i | ||||
\(933\) | −16.2016 | − | 9.35397i | −0.530415 | − | 0.306235i | ||||
\(934\) | −9.25619 | + | 2.48019i | −0.302872 | + | 0.0811542i | ||||
\(935\) | − | 11.8132i | − | 0.386332i | ||||||
\(936\) | −3.72600 | − | 18.2853i | −0.121788 | − | 0.597674i | ||||
\(937\) | − | 43.3600i | − | 1.41651i | −0.705957 | − | 0.708255i | \(-0.749483\pi\) | ||
0.705957 | − | 0.708255i | \(-0.250517\pi\) | |||||||
\(938\) | 1.60142 | + | 3.44662i | 0.0522882 | + | 0.112536i | ||||
\(939\) | 8.92359 | − | 15.4561i | 0.291210 | − | 0.504391i | ||||
\(940\) | 4.32353 | − | 2.49619i | 0.141018 | − | 0.0814168i | ||||
\(941\) | −27.4469 | + | 27.4469i | −0.894743 | + | 0.894743i | −0.994965 | − | 0.100222i | \(-0.968045\pi\) |
0.100222 | + | 0.994965i | \(0.468045\pi\) | |||||||
\(942\) | −1.98878 | + | 7.42224i | −0.0647980 | + | 0.241830i | ||||
\(943\) | 2.64839 | − | 9.88393i | 0.0862435 | − | 0.321865i | ||||
\(944\) | −1.78586 | − | 1.78586i | −0.0581246 | − | 0.0581246i | ||||
\(945\) | 14.5501 | − | 12.1749i | 0.473316 | − | 0.396051i | ||||
\(946\) | −1.23190 | − | 0.711236i | −0.0400524 | − | 0.0231243i | ||||
\(947\) | 10.6763 | + | 39.8444i | 0.346932 | + | 1.29477i | 0.890339 | + | 0.455299i | \(0.150468\pi\) |
−0.543406 | + | 0.839470i | \(0.682866\pi\) | |||||||
\(948\) | −5.98816 | −0.194486 | ||||||||
\(949\) | −1.66499 | + | 4.98120i | −0.0540480 | + | 0.161697i | ||||
\(950\) | 4.51266i | 0.146410i | ||||||||
\(951\) | 1.29813 | + | 4.84468i | 0.0420947 | + | 0.157100i | ||||
\(952\) | −10.8508 | + | 29.6853i | −0.351677 | + | 0.962106i | ||||
\(953\) | −9.00364 | + | 5.19825i | −0.291656 | + | 0.168388i | −0.638689 | − | 0.769465i | \(-0.720523\pi\) |
0.347032 | + | 0.937853i | \(0.387189\pi\) | |||||||
\(954\) | −19.4381 | − | 19.4381i | −0.629330 | − | 0.629330i | ||||
\(955\) | 41.9947 | + | 11.2524i | 1.35892 | + | 0.364120i | ||||
\(956\) | −3.06546 | − | 0.821387i | −0.0991439 | − | 0.0265655i | ||||
\(957\) | 3.23824 | + | 3.23824i | 0.104678 | + | 0.104678i | ||||
\(958\) | −48.3721 | + | 27.9277i | −1.56283 | + | 0.902301i | ||||
\(959\) | 9.76769 | − | 26.7221i | 0.315415 | − | 0.862903i | ||||
\(960\) | 0.887075 | + | 3.31061i | 0.0286302 | + | 0.106850i | ||||
\(961\) | − | 43.6760i | − | 1.40890i | ||||||
\(962\) | −15.9913 | + | 24.1762i | −0.515579 | + | 0.779472i | ||||
\(963\) | 33.8471 | 1.09071 | ||||||||
\(964\) | −0.667940 | − | 2.49279i | −0.0215129 | − | 0.0802873i | ||||
\(965\) | −16.8713 | − | 9.74062i | −0.543105 | − | 0.313562i | ||||
\(966\) | 6.48287 | − | 5.42460i | 0.208583 | − | 0.174534i | ||||
\(967\) | 15.1251 | + | 15.1251i | 0.486390 | + | 0.486390i | 0.907165 | − | 0.420775i | \(-0.138242\pi\) |
−0.420775 | + | 0.907165i | \(0.638242\pi\) | |||||||
\(968\) | −5.18415 | + | 19.3475i | −0.166625 | + | 0.621853i | ||||
\(969\) | −2.77396 | + | 10.3526i | −0.0891124 | + | 0.332572i | ||||
\(970\) | 29.7847 | − | 29.7847i | 0.956331 | − | 0.956331i | ||||
\(971\) | −15.1229 | + | 8.73122i | −0.485318 | + | 0.280198i | −0.722630 | − | 0.691235i | \(-0.757067\pi\) |
0.237312 | + | 0.971433i | \(0.423734\pi\) | |||||||
\(972\) | −5.75056 | + | 9.96026i | −0.184449 | + | 0.319475i | ||||
\(973\) | −18.1634 | − | 39.0918i | −0.582292 | − | 1.25323i | ||||
\(974\) | 25.3407i | 0.811968i | ||||||||
\(975\) | 2.20095 | + | 0.133941i | 0.0704868 | + | 0.00428955i | ||||
\(976\) | 64.6679i | 2.06997i | ||||||||
\(977\) | 11.5532 | − | 3.09568i | 0.369621 | − | 0.0990396i | −0.0692272 | − | 0.997601i | \(-0.522053\pi\) |
0.438848 | + | 0.898561i | \(0.355387\pi\) | |||||||
\(978\) | 15.2332 | + | 8.79490i | 0.487104 | + | 0.281230i | ||||
\(979\) | −3.93986 | − | 6.82405i | −0.125919 | − | 0.218097i | ||||
\(980\) | 4.84093 | − | 10.3073i | 0.154638 | − | 0.329255i | ||||
\(981\) | −7.85955 | + | 29.3322i | −0.250936 | + | 0.936506i | ||||
\(982\) | −7.10215 | − | 1.90302i | −0.226639 | − | 0.0607277i | ||||
\(983\) | 8.69175 | + | 8.69175i | 0.277224 | + | 0.277224i | 0.832000 | − | 0.554776i | \(-0.187196\pi\) |
−0.554776 | + | 0.832000i | \(0.687196\pi\) | |||||||
\(984\) | 2.17872 | + | 3.77366i | 0.0694551 | + | 0.120300i | ||||
\(985\) | 4.65472 | − | 8.06222i | 0.148312 | − | 0.256884i | ||||
\(986\) | 70.8782 | − | 18.9918i | 2.25722 | − | 0.604821i | ||||
\(987\) | −5.10073 | + | 0.892166i | −0.162358 | + | 0.0283980i | ||||
\(988\) | −5.43019 | − | 6.13393i | −0.172757 | − | 0.195146i | ||||
\(989\) | −2.58379 | −0.0821598 | ||||||||
\(990\) | 2.22023 | + | 8.28602i | 0.0705636 | + | 0.263347i | ||||
\(991\) | 19.1774 | − | 33.2162i | 0.609189 | − | 1.05515i | −0.382186 | − | 0.924086i | \(-0.624829\pi\) |
0.991374 | − | 0.131060i | \(-0.0418382\pi\) | |||||||
\(992\) | −18.6996 | − | 32.3886i | −0.593712 | − | 1.02834i | ||||
\(993\) | 7.34257 | − | 7.34257i | 0.233009 | − | 0.233009i | ||||
\(994\) | 51.3902 | + | 4.56728i | 1.63000 | + | 0.144865i | ||||
\(995\) | 41.8644 | + | 11.2175i | 1.32719 | + | 0.355619i | ||||
\(996\) | −0.638820 | + | 0.638820i | −0.0202418 | + | 0.0202418i | ||||
\(997\) | −33.1334 | + | 19.1296i | −1.04935 | + | 0.605840i | −0.922466 | − | 0.386078i | \(-0.873829\pi\) |
−0.126879 | + | 0.991918i | \(0.540496\pi\) | |||||||
\(998\) | 29.0891 | + | 16.7946i | 0.920800 | + | 0.531624i | ||||
\(999\) | −16.5267 | + | 4.42832i | −0.522882 | + | 0.140106i |
(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 | 91.2.bc.a.20.8 | yes | 32 | |
3.2 | odd | 2 | 819.2.fm.g.748.2 | 32 | |||
7.2 | even | 3 | 637.2.bb.b.423.1 | 32 | |||
7.3 | odd | 6 | 637.2.x.b.215.2 | 32 | |||
7.4 | even | 3 | 637.2.x.b.215.1 | 32 | |||
7.5 | odd | 6 | 637.2.bb.b.423.2 | 32 | |||
7.6 | odd | 2 | inner | 91.2.bc.a.20.7 | ✓ | 32 | |
13.2 | odd | 12 | inner | 91.2.bc.a.41.7 | yes | 32 | |
21.20 | even | 2 | 819.2.fm.g.748.1 | 32 | |||
39.2 | even | 12 | 819.2.fm.g.496.1 | 32 | |||
91.2 | odd | 12 | 637.2.x.b.80.1 | 32 | |||
91.41 | even | 12 | inner | 91.2.bc.a.41.8 | yes | 32 | |
91.54 | even | 12 | 637.2.x.b.80.2 | 32 | |||
91.67 | odd | 12 | 637.2.bb.b.509.2 | 32 | |||
91.80 | even | 12 | 637.2.bb.b.509.1 | 32 | |||
273.41 | odd | 12 | 819.2.fm.g.496.2 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.bc.a.20.7 | ✓ | 32 | 7.6 | odd | 2 | inner | |
91.2.bc.a.20.8 | yes | 32 | 1.1 | even | 1 | trivial | |
91.2.bc.a.41.7 | yes | 32 | 13.2 | odd | 12 | inner | |
91.2.bc.a.41.8 | yes | 32 | 91.41 | even | 12 | inner | |
637.2.x.b.80.1 | 32 | 91.2 | odd | 12 | |||
637.2.x.b.80.2 | 32 | 91.54 | even | 12 | |||
637.2.x.b.215.1 | 32 | 7.4 | even | 3 | |||
637.2.x.b.215.2 | 32 | 7.3 | odd | 6 | |||
637.2.bb.b.423.1 | 32 | 7.2 | even | 3 | |||
637.2.bb.b.423.2 | 32 | 7.5 | odd | 6 | |||
637.2.bb.b.509.1 | 32 | 91.80 | even | 12 | |||
637.2.bb.b.509.2 | 32 | 91.67 | odd | 12 | |||
819.2.fm.g.496.1 | 32 | 39.2 | even | 12 | |||
819.2.fm.g.496.2 | 32 | 273.41 | odd | 12 | |||
819.2.fm.g.748.1 | 32 | 21.20 | even | 2 | |||
819.2.fm.g.748.2 | 32 | 3.2 | odd | 2 |