Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(3,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(336))
chi = DirichletCharacter(H, H._module([21, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.bm (of order \(336\), degree \(96\), 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: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(6144\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{336})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{336}]$ |
Embedding invariants
Embedding label | 3.16 | ||
Character | \(\chi\) | \(=\) | 731.3 |
Dual form | 731.2.bm.a.244.16 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(e\left(\frac{1}{16}\right)\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0865416 | + | 1.54102i | −0.0611942 | + | 1.08966i | 0.806072 | + | 0.591818i | \(0.201590\pi\) |
−0.867266 | + | 0.497845i | \(0.834125\pi\) | |||||||
\(3\) | −3.01053 | − | 0.836914i | −1.73813 | − | 0.483193i | −0.753441 | − | 0.657516i | \(-0.771607\pi\) |
−0.984688 | + | 0.174323i | \(0.944226\pi\) | |||||||
\(4\) | −0.379818 | − | 0.0427952i | −0.189909 | − | 0.0213976i | ||||
\(5\) | −1.76044 | + | 0.525049i | −0.787293 | + | 0.234809i | −0.654227 | − | 0.756298i | \(-0.727006\pi\) |
−0.133066 | + | 0.991107i | \(0.542482\pi\) | |||||||
\(6\) | 1.55024 | − | 4.56685i | 0.632881 | − | 1.86441i | ||||
\(7\) | −0.0377505 | + | 0.575962i | −0.0142684 | + | 0.217693i | 0.984770 | + | 0.173859i | \(0.0556238\pi\) |
−0.999039 | + | 0.0438337i | \(0.986043\pi\) | |||||||
\(8\) | −0.418255 | + | 2.46167i | −0.147875 | + | 0.870333i | ||||
\(9\) | 5.79328 | + | 3.49079i | 1.93109 | + | 1.16360i | ||||
\(10\) | −0.656758 | − | 2.75831i | −0.207685 | − | 0.872253i | ||||
\(11\) | −1.39645 | − | 0.721422i | −0.421045 | − | 0.217517i | 0.235388 | − | 0.971902i | \(-0.424364\pi\) |
−0.656433 | + | 0.754385i | \(0.727935\pi\) | |||||||
\(12\) | 1.10764 | + | 0.446711i | 0.319747 | + | 0.128954i | ||||
\(13\) | −6.40850 | − | 0.239789i | −1.77740 | − | 0.0665056i | −0.871601 | − | 0.490216i | \(-0.836918\pi\) |
−0.905798 | + | 0.423710i | \(0.860728\pi\) | |||||||
\(14\) | −0.884300 | − | 0.108019i | −0.236339 | − | 0.0288693i | ||||
\(15\) | 5.73928 | − | 0.107337i | 1.48187 | − | 0.0277142i | ||||
\(16\) | −4.50256 | − | 1.02768i | −1.12564 | − | 0.256920i | ||||
\(17\) | −0.0845816 | − | 4.12224i | −0.0205141 | − | 0.999790i | ||||
\(18\) | −5.88072 | + | 8.62544i | −1.38610 | + | 2.03304i | ||||
\(19\) | 2.68410 | + | 4.45450i | 0.615774 | + | 1.02193i | 0.995308 | + | 0.0967547i | \(0.0308462\pi\) |
−0.379534 | + | 0.925178i | \(0.623916\pi\) | |||||||
\(20\) | 0.691117 | − | 0.124085i | 0.154538 | − | 0.0277462i | ||||
\(21\) | 0.595680 | − | 1.70235i | 0.129988 | − | 0.371484i | ||||
\(22\) | 1.23257 | − | 2.08952i | 0.262786 | − | 0.445486i | ||||
\(23\) | 0.198110 | + | 0.308842i | 0.0413088 | + | 0.0643981i | 0.861751 | − | 0.507331i | \(-0.169368\pi\) |
−0.820442 | + | 0.571729i | \(0.806273\pi\) | |||||||
\(24\) | 3.31938 | − | 7.06089i | 0.677565 | − | 1.44130i | ||||
\(25\) | −1.35967 | + | 0.890224i | −0.271933 | + | 0.178045i | ||||
\(26\) | 0.924122 | − | 9.85486i | 0.181235 | − | 1.93270i | ||||
\(27\) | −8.07937 | − | 8.54583i | −1.55488 | − | 1.64465i | ||||
\(28\) | 0.0389867 | − | 0.217145i | 0.00736780 | − | 0.0410366i | ||||
\(29\) | 4.63715 | − | 3.62759i | 0.861096 | − | 0.673627i | −0.0853981 | − | 0.996347i | \(-0.527216\pi\) |
0.946495 | + | 0.322720i | \(0.104597\pi\) | |||||||
\(30\) | −0.331279 | + | 8.85361i | −0.0604829 | + | 1.61644i | ||||
\(31\) | −0.783220 | − | 1.84196i | −0.140670 | − | 0.330825i | 0.834938 | − | 0.550344i | \(-0.185504\pi\) |
−0.975608 | + | 0.219519i | \(0.929551\pi\) | |||||||
\(32\) | 0.590840 | − | 2.05085i | 0.104447 | − | 0.362543i | ||||
\(33\) | 3.60028 | + | 3.34057i | 0.626728 | + | 0.581518i | ||||
\(34\) | 6.35976 | + | 0.226404i | 1.09069 | + | 0.0388279i | ||||
\(35\) | −0.235951 | − | 1.03377i | −0.0398829 | − | 0.174739i | ||||
\(36\) | −2.05100 | − | 1.57379i | −0.341834 | − | 0.262298i | ||||
\(37\) | 0.147809 | + | 0.129625i | 0.0242997 | + | 0.0213102i | 0.671410 | − | 0.741087i | \(-0.265689\pi\) |
−0.647110 | + | 0.762397i | \(0.724023\pi\) | |||||||
\(38\) | −7.09674 | + | 3.75074i | −1.15124 | + | 0.608450i | ||||
\(39\) | 19.0923 | + | 6.08526i | 3.05721 | + | 0.974422i | ||||
\(40\) | −0.556186 | − | 4.55323i | −0.0879407 | − | 0.719929i | ||||
\(41\) | 10.3000 | − | 6.07581i | 1.60859 | − | 0.948882i | 0.622507 | − | 0.782614i | \(-0.286114\pi\) |
0.986081 | − | 0.166268i | \(-0.0531716\pi\) | |||||||
\(42\) | 2.57181 | + | 1.06528i | 0.396838 | + | 0.164376i | ||||
\(43\) | 6.33415 | − | 1.69664i | 0.965948 | − | 0.258734i | ||||
\(44\) | 0.499523 | + | 0.333770i | 0.0753059 | + | 0.0503178i | ||||
\(45\) | −12.0316 | − | 3.10357i | −1.79356 | − | 0.462653i | ||||
\(46\) | −0.493076 | + | 0.278563i | −0.0727001 | + | 0.0410719i | ||||
\(47\) | 1.28041 | − | 11.3640i | 0.186767 | − | 1.65761i | −0.454840 | − | 0.890573i | \(-0.650304\pi\) |
0.641608 | − | 0.767033i | \(-0.278268\pi\) | |||||||
\(48\) | 12.6950 | + | 6.86211i | 1.83236 | + | 0.990461i | ||||
\(49\) | 6.60981 | + | 0.870198i | 0.944258 | + | 0.124314i | ||||
\(50\) | −1.25418 | − | 2.17231i | −0.177368 | − | 0.307211i | ||||
\(51\) | −3.19533 | + | 12.4809i | −0.447435 | + | 1.74768i | ||||
\(52\) | 2.42380 | + | 0.365330i | 0.336121 | + | 0.0506621i | ||||
\(53\) | 1.47232 | + | 0.546296i | 0.202238 | + | 0.0750395i | 0.446961 | − | 0.894554i | \(-0.352506\pi\) |
−0.244723 | + | 0.969593i | \(0.578697\pi\) | |||||||
\(54\) | 13.8685 | − | 11.7109i | 1.88726 | − | 1.59365i | ||||
\(55\) | 2.83715 | + | 0.536817i | 0.382561 | + | 0.0723844i | ||||
\(56\) | −1.40204 | − | 0.333828i | −0.187355 | − | 0.0446097i | ||||
\(57\) | −4.35251 | − | 15.6568i | −0.576505 | − | 2.07379i | ||||
\(58\) | 5.18887 | + | 7.45986i | 0.681333 | + | 0.979527i | ||||
\(59\) | −7.96463 | − | 5.65121i | −1.03691 | − | 0.735724i | −0.0717565 | − | 0.997422i | \(-0.522860\pi\) |
−0.965150 | + | 0.261698i | \(0.915718\pi\) | |||||||
\(60\) | −2.18447 | − | 0.204845i | −0.282014 | − | 0.0264454i | ||||
\(61\) | 4.27795 | − | 1.72530i | 0.547736 | − | 0.220903i | −0.0834805 | − | 0.996509i | \(-0.526604\pi\) |
0.631216 | + | 0.775607i | \(0.282556\pi\) | |||||||
\(62\) | 2.90627 | − | 1.04755i | 0.369096 | − | 0.133039i | ||||
\(63\) | −2.22926 | + | 3.20493i | −0.280860 | + | 0.403783i | ||||
\(64\) | −5.60910 | − | 1.96271i | −0.701138 | − | 0.245339i | ||||
\(65\) | 11.4077 | − | 2.94264i | 1.41495 | − | 0.364990i | ||||
\(66\) | −5.45945 | + | 5.25899i | −0.672011 | + | 0.647337i | ||||
\(67\) | 1.99609 | + | 13.2432i | 0.243862 | + | 1.61792i | 0.690589 | + | 0.723247i | \(0.257351\pi\) |
−0.446727 | + | 0.894670i | \(0.647411\pi\) | |||||||
\(68\) | −0.144286 | + | 1.56932i | −0.0174973 | + | 0.190308i | ||||
\(69\) | −0.337942 | − | 1.09558i | −0.0406834 | − | 0.131892i | ||||
\(70\) | 1.61347 | − | 0.274140i | 0.192847 | − | 0.0327660i | ||||
\(71\) | −8.37281 | − | 5.37083i | −0.993670 | − | 0.637400i | −0.0610025 | − | 0.998138i | \(-0.519430\pi\) |
−0.932667 | + | 0.360738i | \(0.882525\pi\) | |||||||
\(72\) | −11.0162 | + | 12.8011i | −1.29828 | + | 1.50863i | ||||
\(73\) | 3.06481 | − | 12.8718i | 0.358709 | − | 1.50653i | −0.436224 | − | 0.899838i | \(-0.643685\pi\) |
0.794933 | − | 0.606697i | \(-0.207506\pi\) | |||||||
\(74\) | −0.212546 | + | 0.216558i | −0.0247080 | + | 0.0251744i | ||||
\(75\) | 4.83835 | − | 1.54212i | 0.558685 | − | 0.178069i | ||||
\(76\) | −0.828838 | − | 1.80677i | −0.0950742 | − | 0.207250i | ||||
\(77\) | 0.468228 | − | 0.777067i | 0.0533596 | − | 0.0885550i | ||||
\(78\) | −11.0298 | + | 28.8949i | −1.24888 | + | 3.27170i | ||||
\(79\) | −5.42620 | + | 4.75865i | −0.610495 | + | 0.535390i | −0.907806 | − | 0.419391i | \(-0.862244\pi\) |
0.297311 | + | 0.954781i | \(0.403910\pi\) | |||||||
\(80\) | 8.46607 | − | 0.554895i | 0.946535 | − | 0.0620392i | ||||
\(81\) | 7.68964 | + | 14.5495i | 0.854405 | + | 1.61661i | ||||
\(82\) | 8.47154 | + | 16.3983i | 0.935525 | + | 1.81089i | ||||
\(83\) | −11.7576 | + | 3.86894i | −1.29056 | + | 0.424671i | −0.874659 | − | 0.484739i | \(-0.838915\pi\) |
−0.415901 | + | 0.909410i | \(0.636534\pi\) | |||||||
\(84\) | −0.299103 | + | 0.621093i | −0.0326348 | + | 0.0677668i | ||||
\(85\) | 2.31328 | + | 7.21254i | 0.250910 | + | 0.782310i | ||||
\(86\) | 2.06638 | + | 9.90786i | 0.222823 | + | 1.06839i | ||||
\(87\) | −16.9962 | + | 7.04007i | −1.82219 | + | 0.754775i | ||||
\(88\) | 2.35998 | − | 3.13586i | 0.251574 | − | 0.334284i | ||||
\(89\) | −0.185860 | + | 0.159946i | −0.0197011 | + | 0.0169542i | −0.662083 | − | 0.749431i | \(-0.730327\pi\) |
0.642382 | + | 0.766385i | \(0.277946\pi\) | |||||||
\(90\) | 5.82389 | − | 18.2722i | 0.613892 | − | 1.92606i | ||||
\(91\) | 0.380034 | − | 3.68200i | 0.0398384 | − | 0.385979i | ||||
\(92\) | −0.0620289 | − | 0.125782i | −0.00646696 | − | 0.0131137i | ||||
\(93\) | 0.816344 | + | 6.20075i | 0.0846510 | + | 0.642988i | ||||
\(94\) | 17.4013 | + | 2.95659i | 1.79480 | + | 0.304949i | ||||
\(95\) | −7.06402 | − | 6.43260i | −0.724754 | − | 0.659971i | ||||
\(96\) | −3.49513 | + | 5.67966i | −0.356720 | + | 0.579678i | ||||
\(97\) | −0.561802 | + | 6.66045i | −0.0570424 | + | 0.676267i | 0.908816 | + | 0.417197i | \(0.136987\pi\) |
−0.965859 | + | 0.259070i | \(0.916584\pi\) | |||||||
\(98\) | −1.91301 | + | 10.1105i | −0.193243 | + | 1.02132i | ||||
\(99\) | −5.57168 | − | 9.05410i | −0.559975 | − | 0.909972i | ||||
\(100\) | 0.554523 | − | 0.279936i | 0.0554523 | − | 0.0279936i | ||||
\(101\) | 2.57363 | + | 1.01008i | 0.256086 | + | 0.100506i | 0.489911 | − | 0.871772i | \(-0.337029\pi\) |
−0.233825 | + | 0.972279i | \(0.575124\pi\) | |||||||
\(102\) | −18.9567 | − | 6.00417i | −1.87700 | − | 0.594501i | ||||
\(103\) | −1.06200 | + | 0.327582i | −0.104642 | + | 0.0322776i | −0.346634 | − | 0.938001i | \(-0.612675\pi\) |
0.241992 | + | 0.970278i | \(0.422199\pi\) | |||||||
\(104\) | 3.27067 | − | 15.6753i | 0.320716 | − | 1.53709i | ||||
\(105\) | −0.154839 | + | 3.30966i | −0.0151107 | + | 0.322989i | ||||
\(106\) | −0.969268 | + | 2.22158i | −0.0941436 | + | 0.215779i | ||||
\(107\) | −15.6592 | − | 9.23712i | −1.51383 | − | 0.892986i | −0.999371 | − | 0.0354713i | \(-0.988707\pi\) |
−0.514460 | − | 0.857514i | \(-0.672008\pi\) | |||||||
\(108\) | 2.70297 | + | 3.59162i | 0.260093 | + | 0.345604i | ||||
\(109\) | −5.01038 | − | 1.09440i | −0.479907 | − | 0.104825i | −0.0330946 | − | 0.999452i | \(-0.510536\pi\) |
−0.446813 | + | 0.894627i | \(0.647441\pi\) | |||||||
\(110\) | −1.07277 | + | 4.32563i | −0.102285 | + | 0.412433i | ||||
\(111\) | −0.336498 | − | 0.513943i | −0.0319390 | − | 0.0487814i | ||||
\(112\) | 0.761878 | − | 2.55451i | 0.0719907 | − | 0.241378i | ||||
\(113\) | 0.158939 | − | 5.66479i | 0.0149517 | − | 0.532899i | −0.955965 | − | 0.293481i | \(-0.905186\pi\) |
0.970917 | − | 0.239418i | \(-0.0769566\pi\) | |||||||
\(114\) | 24.5040 | − | 5.35234i | 2.29501 | − | 0.501292i | ||||
\(115\) | −0.510919 | − | 0.439681i | −0.0476434 | − | 0.0410005i | ||||
\(116\) | −1.91652 | + | 1.17938i | −0.177944 | + | 0.109502i | ||||
\(117\) | −36.2892 | − | 23.7599i | −3.35494 | − | 2.19660i | ||||
\(118\) | 9.39787 | − | 11.7846i | 0.865144 | − | 1.08486i | ||||
\(119\) | 2.37744 | + | 0.106901i | 0.217940 | + | 0.00979959i | ||||
\(120\) | −2.13625 | + | 14.1731i | −0.195012 | + | 1.29382i | ||||
\(121\) | −4.93577 | − | 6.95631i | −0.448706 | − | 0.632392i | ||||
\(122\) | 2.28850 | + | 6.74171i | 0.207191 | + | 0.610366i | ||||
\(123\) | −36.0933 | + | 9.67118i | −3.25443 | + | 0.872021i | ||||
\(124\) | 0.218654 | + | 0.733127i | 0.0196357 | + | 0.0658367i | ||||
\(125\) | 7.85233 | − | 9.29903i | 0.702334 | − | 0.831730i | ||||
\(126\) | −4.74592 | − | 3.71269i | −0.422800 | − | 0.330752i | ||||
\(127\) | 10.1030 | − | 9.02856i | 0.896493 | − | 0.801155i | −0.0842527 | − | 0.996444i | \(-0.526850\pi\) |
0.980746 | + | 0.195289i | \(0.0625646\pi\) | |||||||
\(128\) | 5.14348 | − | 12.4175i | 0.454624 | − | 1.09756i | ||||
\(129\) | −20.4891 | − | 0.193373i | −1.80396 | − | 0.0170255i | ||||
\(130\) | 3.54742 | + | 17.8341i | 0.311130 | + | 1.56415i | ||||
\(131\) | 2.17241 | + | 15.3879i | 0.189804 | + | 1.34445i | 0.821934 | + | 0.569583i | \(0.192895\pi\) |
−0.632129 | + | 0.774863i | \(0.717819\pi\) | |||||||
\(132\) | −1.22449 | − | 1.42288i | −0.106578 | − | 0.123846i | ||||
\(133\) | −2.66695 | + | 1.37778i | −0.231254 | + | 0.119468i | ||||
\(134\) | −20.5808 | + | 1.92993i | −1.77791 | + | 0.166720i | ||||
\(135\) | 18.7102 | + | 10.8024i | 1.61032 | + | 0.929719i | ||||
\(136\) | 10.1830 | + | 1.51593i | 0.873183 | + | 0.129990i | ||||
\(137\) | 14.7372 | − | 3.36368i | 1.25909 | − | 0.287378i | 0.459634 | − | 0.888108i | \(-0.347981\pi\) |
0.799452 | + | 0.600730i | \(0.205123\pi\) | |||||||
\(138\) | 1.71755 | − | 0.425960i | 0.146208 | − | 0.0362602i | ||||
\(139\) | −0.478957 | − | 0.661827i | −0.0406246 | − | 0.0561354i | 0.789316 | − | 0.613987i | \(-0.210435\pi\) |
−0.829941 | + | 0.557852i | \(0.811626\pi\) | |||||||
\(140\) | 0.0453780 | + | 0.402741i | 0.00383514 | + | 0.0340378i | ||||
\(141\) | −13.3654 | + | 33.1400i | −1.12557 | + | 2.79089i | ||||
\(142\) | 9.00113 | − | 12.4378i | 0.755358 | − | 1.04376i | ||||
\(143\) | 8.77615 | + | 4.95809i | 0.733899 | + | 0.414616i | ||||
\(144\) | −22.4972 | − | 21.6711i | −1.87476 | − | 1.80593i | ||||
\(145\) | −6.25876 | + | 8.82089i | −0.519761 | + | 0.732535i | ||||
\(146\) | 19.5705 | + | 5.83687i | 1.61966 | + | 0.483063i | ||||
\(147\) | −19.1707 | − | 8.15160i | −1.58117 | − | 0.672332i | ||||
\(148\) | −0.0505932 | − | 0.0555595i | −0.00415874 | − | 0.00456696i | ||||
\(149\) | 10.4158 | + | 4.54436i | 0.853294 | + | 0.372288i | 0.780574 | − | 0.625064i | \(-0.214927\pi\) |
0.0727206 | + | 0.997352i | \(0.476832\pi\) | |||||||
\(150\) | 1.95772 | + | 7.58944i | 0.159847 | + | 0.619675i | ||||
\(151\) | −0.110369 | + | 0.123502i | −0.00898166 | + | 0.0100505i | −0.750116 | − | 0.661306i | \(-0.770002\pi\) |
0.741134 | + | 0.671357i | \(0.234288\pi\) | |||||||
\(152\) | −12.0882 | + | 4.74425i | −0.980479 | + | 0.384810i | ||||
\(153\) | 13.8999 | − | 24.1765i | 1.12374 | − | 1.95456i | ||||
\(154\) | 1.15695 | + | 0.788796i | 0.0932298 | + | 0.0635630i | ||||
\(155\) | 2.34593 | + | 2.83143i | 0.188430 | + | 0.227426i | ||||
\(156\) | −6.99118 | − | 3.12835i | −0.559742 | − | 0.250469i | ||||
\(157\) | −2.42936 | + | 1.05992i | −0.193884 | + | 0.0845906i | −0.494591 | − | 0.869126i | \(-0.664682\pi\) |
0.300707 | + | 0.953717i | \(0.402777\pi\) | |||||||
\(158\) | −6.86356 | − | 8.77368i | −0.546036 | − | 0.697997i | ||||
\(159\) | −3.97524 | − | 2.87684i | −0.315257 | − | 0.228148i | ||||
\(160\) | 0.0366588 | + | 3.92062i | 0.00289813 | + | 0.309952i | ||||
\(161\) | −0.185360 | + | 0.102445i | −0.0146084 | + | 0.00807379i | ||||
\(162\) | −23.0865 | + | 10.5907i | −1.81385 | + | 0.832086i | ||||
\(163\) | 1.38546 | − | 1.52146i | 0.108518 | − | 0.119170i | −0.682716 | − | 0.730684i | \(-0.739201\pi\) |
0.791233 | + | 0.611514i | \(0.209439\pi\) | |||||||
\(164\) | −4.17214 | + | 1.86691i | −0.325789 | + | 0.145781i | ||||
\(165\) | −8.09204 | − | 3.99055i | −0.629964 | − | 0.310664i | ||||
\(166\) | −4.94458 | − | 18.4534i | −0.383774 | − | 1.43226i | ||||
\(167\) | −1.15360 | + | 2.13418i | −0.0892686 | + | 0.165148i | −0.920458 | − | 0.390841i | \(-0.872184\pi\) |
0.831190 | + | 0.555989i | \(0.187660\pi\) | |||||||
\(168\) | 3.94149 | + | 2.17839i | 0.304093 | + | 0.168066i | ||||
\(169\) | 28.0478 | + | 2.10189i | 2.15752 | + | 0.161684i | ||||
\(170\) | −11.3148 | + | 2.94061i | −0.867809 | + | 0.225535i | ||||
\(171\) | 35.1758i | 2.68996i | ||||||||
\(172\) | −2.47843 | + | 0.373341i | −0.188979 | + | 0.0284670i | ||||
\(173\) | −0.311707 | − | 0.0620024i | −0.0236987 | − | 0.00471395i | 0.183227 | − | 0.983071i | \(-0.441346\pi\) |
−0.206925 | + | 0.978357i | \(0.566346\pi\) | |||||||
\(174\) | −9.37799 | − | 26.8008i | −0.710943 | − | 2.03176i | ||||
\(175\) | −0.461407 | − | 0.816722i | −0.0348791 | − | 0.0617383i | ||||
\(176\) | 5.54620 | + | 4.68335i | 0.418060 | + | 0.353020i | ||||
\(177\) | 19.2482 | + | 23.6788i | 1.44678 | + | 1.77981i | ||||
\(178\) | −0.230394 | − | 0.300256i | −0.0172688 | − | 0.0225051i | ||||
\(179\) | −6.32473 | + | 0.832666i | −0.472732 | + | 0.0622364i | −0.363129 | − | 0.931739i | \(-0.618291\pi\) |
−0.109604 | + | 0.993975i | \(0.534958\pi\) | |||||||
\(180\) | 4.43698 | + | 1.69369i | 0.330713 | + | 0.126240i | ||||
\(181\) | −0.541416 | − | 11.5727i | −0.0402432 | − | 0.860191i | −0.921695 | − | 0.387916i | \(-0.873195\pi\) |
0.881451 | − | 0.472275i | \(-0.156567\pi\) | |||||||
\(182\) | 5.64114 | + | 0.904285i | 0.418149 | + | 0.0670300i | ||||
\(183\) | −14.3228 | + | 1.61380i | −1.05877 | + | 0.119295i | ||||
\(184\) | −0.843129 | + | 0.358508i | −0.0621563 | + | 0.0264295i | ||||
\(185\) | −0.328269 | − | 0.150590i | −0.0241348 | − | 0.0110716i | ||||
\(186\) | −9.62611 | + | 0.721377i | −0.705820 | + | 0.0528939i | ||||
\(187\) | −2.85576 | + | 5.81751i | −0.208834 | + | 0.425418i | ||||
\(188\) | −0.972648 | + | 4.26145i | −0.0709376 | + | 0.310798i | ||||
\(189\) | 5.22707 | − | 4.33080i | 0.380213 | − | 0.315019i | ||||
\(190\) | 10.5241 | − | 10.3291i | 0.763497 | − | 0.749351i | ||||
\(191\) | 8.80843 | + | 6.50091i | 0.637355 | + | 0.470390i | 0.863935 | − | 0.503603i | \(-0.167993\pi\) |
−0.226580 | + | 0.973993i | \(0.572754\pi\) | |||||||
\(192\) | 15.2437 | + | 10.6031i | 1.10012 | + | 0.765215i | ||||
\(193\) | 0.994644 | − | 0.748546i | 0.0715960 | − | 0.0538815i | −0.564915 | − | 0.825149i | \(-0.691091\pi\) |
0.636511 | + | 0.771267i | \(0.280377\pi\) | |||||||
\(194\) | −10.2152 | − | 1.44215i | −0.733412 | − | 0.103541i | ||||
\(195\) | −36.8059 | − | 0.688349i | −2.63573 | − | 0.0492937i | ||||
\(196\) | −2.47328 | − | 0.613385i | −0.176663 | − | 0.0438132i | ||||
\(197\) | −8.12297 | − | 20.1412i | −0.578737 | − | 1.43500i | −0.876988 | − | 0.480512i | \(-0.840451\pi\) |
0.298251 | − | 0.954488i | \(-0.403597\pi\) | |||||||
\(198\) | 14.4347 | − | 7.80249i | 1.02583 | − | 0.554499i | ||||
\(199\) | −25.2400 | + | 9.63460i | −1.78921 | + | 0.682978i | −0.791825 | + | 0.610748i | \(0.790869\pi\) |
−0.997388 | + | 0.0722302i | \(0.976988\pi\) | |||||||
\(200\) | −1.62275 | − | 3.71939i | −0.114746 | − | 0.263001i | ||||
\(201\) | 5.07415 | − | 41.5397i | 0.357903 | − | 2.92998i | ||||
\(202\) | −1.77927 | + | 3.87860i | −0.125189 | + | 0.272897i | ||||
\(203\) | 1.91430 | + | 2.80776i | 0.134358 | + | 0.197066i | ||||
\(204\) | 1.74777 | − | 4.60373i | 0.122368 | − | 0.322325i | ||||
\(205\) | −14.9424 | + | 16.1041i | −1.04362 | + | 1.12476i | ||||
\(206\) | −0.412903 | − | 1.66490i | −0.0287683 | − | 0.115999i | ||||
\(207\) | 0.0696037 | + | 2.48077i | 0.00483779 | + | 0.172426i | ||||
\(208\) | 28.6082 | + | 7.66555i | 1.98362 | + | 0.531510i | ||||
\(209\) | −0.534628 | − | 8.15685i | −0.0369810 | − | 0.564221i | ||||
\(210\) | −5.08683 | − | 0.525032i | −0.351025 | − | 0.0362307i | ||||
\(211\) | 0.347571 | + | 4.12063i | 0.0239278 | + | 0.283676i | 0.998279 | + | 0.0586434i | \(0.0186775\pi\) |
−0.974351 | + | 0.225033i | \(0.927751\pi\) | |||||||
\(212\) | −0.535833 | − | 0.270501i | −0.0368012 | − | 0.0185781i | ||||
\(213\) | 20.7117 | + | 23.1764i | 1.41914 | + | 1.58802i | ||||
\(214\) | 15.5897 | − | 23.3317i | 1.06569 | − | 1.59492i | ||||
\(215\) | −10.2601 | + | 6.31256i | −0.699731 | + | 0.430513i | ||||
\(216\) | 24.4163 | − | 16.3144i | 1.66132 | − | 1.11006i | ||||
\(217\) | 1.09046 | − | 0.381570i | 0.0740255 | − | 0.0259026i | ||||
\(218\) | 2.12010 | − | 7.62637i | 0.143591 | − | 0.516523i | ||||
\(219\) | −19.9993 | + | 36.1860i | −1.35143 | + | 2.44523i | ||||
\(220\) | −1.05463 | − | 0.325309i | −0.0711029 | − | 0.0219323i | ||||
\(221\) | −0.446427 | + | 26.4377i | −0.0300299 | + | 1.77839i | ||||
\(222\) | 0.821117 | − | 0.474072i | 0.0551097 | − | 0.0318176i | ||||
\(223\) | −12.0773 | + | 8.56931i | −0.808756 | + | 0.573843i | −0.906908 | − | 0.421328i | \(-0.861564\pi\) |
0.0981519 | + | 0.995171i | \(0.468707\pi\) | |||||||
\(224\) | 1.15891 | + | 0.417722i | 0.0774327 | + | 0.0279102i | ||||
\(225\) | −10.9845 | + | 0.411011i | −0.732300 | + | 0.0274007i | ||||
\(226\) | 8.71579 | + | 0.735168i | 0.579766 | + | 0.0489026i | ||||
\(227\) | −2.07650 | − | 2.03803i | −0.137822 | − | 0.135269i | 0.628281 | − | 0.777987i | \(-0.283759\pi\) |
−0.766103 | + | 0.642718i | \(0.777807\pi\) | |||||||
\(228\) | 0.983130 | + | 6.13299i | 0.0651093 | + | 0.406167i | ||||
\(229\) | −9.65895 | − | 3.17837i | −0.638282 | − | 0.210033i | −0.0247386 | − | 0.999694i | \(-0.507875\pi\) |
−0.613543 | + | 0.789661i | \(0.710256\pi\) | |||||||
\(230\) | 0.721771 | − | 0.749283i | 0.0475922 | − | 0.0494063i | ||||
\(231\) | −2.05995 | + | 1.94751i | −0.135535 | + | 0.128137i | ||||
\(232\) | 6.99044 | + | 12.9324i | 0.458945 | + | 0.849053i | ||||
\(233\) | −0.0205909 | + | 2.20218i | −0.00134896 | + | 0.144270i | 0.996677 | + | 0.0814603i | \(0.0259584\pi\) |
−0.998026 | + | 0.0628093i | \(0.979994\pi\) | |||||||
\(234\) | 39.7549 | − | 53.8660i | 2.59886 | − | 3.52133i | ||||
\(235\) | 3.71255 | + | 20.6779i | 0.242180 | + | 1.34888i | ||||
\(236\) | 2.78327 | + | 2.48728i | 0.181175 | + | 0.161908i | ||||
\(237\) | 20.3183 | − | 9.78478i | 1.31982 | − | 0.635590i | ||||
\(238\) | −0.370484 | + | 3.65443i | −0.0240149 | + | 0.236882i | ||||
\(239\) | 17.8534 | − | 2.69097i | 1.15484 | − | 0.174064i | 0.456429 | − | 0.889760i | \(-0.349128\pi\) |
0.698412 | + | 0.715696i | \(0.253890\pi\) | |||||||
\(240\) | −25.9517 | − | 5.41485i | −1.67518 | − | 0.349527i | ||||
\(241\) | −0.474265 | − | 4.59497i | −0.0305501 | − | 0.295988i | −0.998920 | − | 0.0464683i | \(-0.985203\pi\) |
0.968370 | − | 0.249520i | \(-0.0802728\pi\) | |||||||
\(242\) | 11.1469 | − | 7.00409i | 0.716553 | − | 0.450240i | ||||
\(243\) | −3.44431 | − | 15.7687i | −0.220953 | − | 1.01156i | ||||
\(244\) | −1.69868 | + | 0.472226i | −0.108747 | + | 0.0302312i | ||||
\(245\) | −12.0931 | + | 1.93854i | −0.772598 | + | 0.123849i | ||||
\(246\) | −11.7799 | − | 56.4574i | −0.751057 | − | 3.59959i | ||||
\(247\) | −16.1329 | − | 29.1903i | −1.02651 | − | 1.85733i | ||||
\(248\) | 4.86188 | − | 1.15762i | 0.308730 | − | 0.0735091i | ||||
\(249\) | 38.6344 | − | 1.80747i | 2.44836 | − | 0.114544i | ||||
\(250\) | 13.6504 | + | 12.9053i | 0.863327 | + | 0.816204i | ||||
\(251\) | 7.70114 | − | 28.7410i | 0.486092 | − | 1.81412i | −0.0890021 | − | 0.996031i | \(-0.528368\pi\) |
0.575094 | − | 0.818088i | \(-0.304966\pi\) | |||||||
\(252\) | 0.983869 | − | 1.12189i | 0.0619779 | − | 0.0706723i | ||||
\(253\) | −0.0538449 | − | 0.574203i | −0.00338520 | − | 0.0360999i | ||||
\(254\) | 13.0388 | + | 16.3502i | 0.818129 | + | 1.02590i | ||||
\(255\) | −0.927905 | − | 23.6496i | −0.0581077 | − | 1.48099i | ||||
\(256\) | 7.98224 | + | 3.84404i | 0.498890 | + | 0.240253i | ||||
\(257\) | 0.0927226 | + | 0.223852i | 0.00578387 | + | 0.0139635i | 0.926745 | − | 0.375691i | \(-0.122595\pi\) |
−0.920961 | + | 0.389654i | \(0.872595\pi\) | |||||||
\(258\) | 2.07115 | − | 31.5573i | 0.128944 | − | 1.96467i | ||||
\(259\) | −0.0802390 | + | 0.0802390i | −0.00498581 | + | 0.00498581i | ||||
\(260\) | −4.45878 | + | 0.629475i | −0.276522 | + | 0.0390384i | ||||
\(261\) | 39.5274 | − | 4.82835i | 2.44669 | − | 0.298867i | ||||
\(262\) | −23.9010 | + | 2.01603i | −1.47661 | + | 0.124550i | ||||
\(263\) | −11.7846 | − | 9.76390i | −0.726668 | − | 0.602068i | 0.199181 | − | 0.979963i | \(-0.436172\pi\) |
−0.925848 | + | 0.377895i | \(0.876648\pi\) | |||||||
\(264\) | −9.72922 | + | 7.46549i | −0.598792 | + | 0.459469i | ||||
\(265\) | −2.87876 | − | 0.188684i | −0.176841 | − | 0.0115907i | ||||
\(266\) | −1.89238 | − | 4.22905i | −0.116029 | − | 0.259299i | ||||
\(267\) | 0.693398 | − | 0.325972i | 0.0424353 | − | 0.0199491i | ||||
\(268\) | −0.191406 | − | 5.11544i | −0.0116920 | − | 0.312475i | ||||
\(269\) | −14.9505 | − | 17.7049i | −0.911546 | − | 1.07949i | −0.996541 | − | 0.0831068i | \(-0.973516\pi\) |
0.0849942 | − | 0.996381i | \(-0.472913\pi\) | |||||||
\(270\) | −18.2658 | + | 27.8979i | −1.11162 | + | 1.69781i | ||||
\(271\) | −6.03207 | − | 6.50102i | −0.366422 | − | 0.394909i | 0.522747 | − | 0.852488i | \(-0.324907\pi\) |
−0.889169 | + | 0.457579i | \(0.848717\pi\) | |||||||
\(272\) | −3.85551 | + | 18.6475i | −0.233774 | + | 1.13067i | ||||
\(273\) | −4.22562 | + | 10.7667i | −0.255746 | + | 0.651631i | ||||
\(274\) | 3.90810 | + | 23.0014i | 0.236097 | + | 1.38957i | ||||
\(275\) | 2.54093 | − | 0.262259i | 0.153224 | − | 0.0158148i | ||||
\(276\) | 0.0814708 | + | 0.430583i | 0.00490396 | + | 0.0259181i | ||||
\(277\) | −15.6658 | + | 14.2655i | −0.941270 | + | 0.857133i | −0.989912 | − | 0.141683i | \(-0.954749\pi\) |
0.0486425 | + | 0.998816i | \(0.484510\pi\) | |||||||
\(278\) | 1.06134 | − | 0.680805i | 0.0636547 | − | 0.0408320i | ||||
\(279\) | 1.89248 | − | 13.4050i | 0.113300 | − | 0.802538i | ||||
\(280\) | 2.64348 | − | 0.148455i | 0.157978 | − | 0.00887187i | ||||
\(281\) | −0.155521 | + | 8.31569i | −0.00927762 | + | 0.496073i | 0.963931 | + | 0.266151i | \(0.0857519\pi\) |
−0.973209 | + | 0.229922i | \(0.926153\pi\) | |||||||
\(282\) | −49.9126 | − | 23.4643i | −2.97225 | − | 1.39728i | ||||
\(283\) | −3.69280 | + | 8.68463i | −0.219514 | + | 0.516248i | −0.993076 | − | 0.117473i | \(-0.962521\pi\) |
0.773562 | + | 0.633721i | \(0.218473\pi\) | |||||||
\(284\) | 2.95030 | + | 2.39825i | 0.175068 | + | 0.142310i | ||||
\(285\) | 15.8829 | + | 25.2775i | 0.940822 | + | 1.49731i | ||||
\(286\) | −8.40000 | + | 13.0951i | −0.496702 | + | 0.774330i | ||||
\(287\) | 3.11060 | + | 6.16176i | 0.183613 | + | 0.363717i | ||||
\(288\) | 10.5820 | − | 9.81865i | 0.623550 | − | 0.578570i | ||||
\(289\) | −16.9857 | + | 0.697331i | −0.999158 | + | 0.0410195i | ||||
\(290\) | −13.0515 | − | 10.4082i | −0.766410 | − | 0.611192i | ||||
\(291\) | 7.26555 | − | 19.5813i | 0.425914 | − | 1.14788i | ||||
\(292\) | −1.71492 | + | 4.75780i | −0.100358 | + | 0.278429i | ||||
\(293\) | −9.67805 | − | 6.08112i | −0.565398 | − | 0.355263i | 0.218804 | − | 0.975769i | \(-0.429784\pi\) |
−0.784202 | + | 0.620506i | \(0.786927\pi\) | |||||||
\(294\) | 14.2208 | − | 28.8370i | 0.829375 | − | 1.68181i | ||||
\(295\) | 16.9884 | + | 5.76679i | 0.989104 | + | 0.335755i | ||||
\(296\) | −0.380916 | + | 0.309641i | −0.0221403 | + | 0.0179975i | ||||
\(297\) | 5.11727 | + | 17.7624i | 0.296934 | + | 1.03068i | ||||
\(298\) | −7.90433 | + | 15.6576i | −0.457886 | + | 0.907021i | ||||
\(299\) | −1.19553 | − | 2.02672i | −0.0691395 | − | 0.117208i | ||||
\(300\) | −1.90369 | + | 0.378667i | −0.109910 | + | 0.0218624i | ||||
\(301\) | 0.738080 | + | 3.71228i | 0.0425422 | + | 0.213972i | ||||
\(302\) | −0.180768 | − | 0.180768i | −0.0104020 | − | 0.0104020i | ||||
\(303\) | −6.90265 | − | 5.19478i | −0.396547 | − | 0.298432i | ||||
\(304\) | −7.50751 | − | 22.8150i | −0.430585 | − | 1.30853i | ||||
\(305\) | −6.62521 | + | 5.28343i | −0.379359 | + | 0.302528i | ||||
\(306\) | 36.0535 | + | 23.5122i | 2.06104 | + | 1.34410i | ||||
\(307\) | 9.43733 | − | 16.3459i | 0.538617 | − | 0.932912i | −0.460362 | − | 0.887731i | \(-0.652280\pi\) |
0.998979 | − | 0.0451808i | \(-0.0143864\pi\) | |||||||
\(308\) | −0.211096 | + | 0.275106i | −0.0120283 | + | 0.0156756i | ||||
\(309\) | 3.47133 | − | 0.0973960i | 0.197477 | − | 0.00554066i | ||||
\(310\) | −4.56630 | + | 3.37008i | −0.259348 | + | 0.191408i | ||||
\(311\) | −3.56174 | + | 22.2189i | −0.201968 | + | 1.25992i | 0.659343 | + | 0.751842i | \(0.270835\pi\) |
−0.861311 | + | 0.508079i | \(0.830356\pi\) | |||||||
\(312\) | −22.9654 | + | 44.4538i | −1.30016 | + | 2.51670i | ||||
\(313\) | 0.886608 | − | 0.00829001i | 0.0501141 | − | 0.000468579i | 0.0157101 | − | 0.999877i | \(-0.494999\pi\) |
0.0344039 | + | 0.999408i | \(0.489047\pi\) | |||||||
\(314\) | −1.42311 | − | 3.83540i | −0.0803107 | − | 0.216444i | ||||
\(315\) | 2.24174 | − | 6.81255i | 0.126308 | − | 0.383844i | ||||
\(316\) | 2.26462 | − | 1.57520i | 0.127395 | − | 0.0886122i | ||||
\(317\) | −17.4897 | − | 0.490713i | −0.982319 | − | 0.0275612i | −0.466732 | − | 0.884399i | \(-0.654569\pi\) |
−0.515587 | + | 0.856837i | \(0.672426\pi\) | |||||||
\(318\) | 4.77728 | − | 5.87695i | 0.267897 | − | 0.329563i | ||||
\(319\) | −9.09256 | + | 1.72040i | −0.509086 | + | 0.0963242i | ||||
\(320\) | 10.9050 | + | 0.510180i | 0.609609 | + | 0.0285199i | ||||
\(321\) | 39.4117 | + | 40.9140i | 2.19975 | + | 2.28360i | ||||
\(322\) | −0.141828 | − | 0.294509i | −0.00790376 | − | 0.0164123i | ||||
\(323\) | 18.1355 | − | 11.4413i | 1.00909 | − | 0.636609i | ||||
\(324\) | −2.29802 | − | 5.85525i | −0.127668 | − | 0.325292i | ||||
\(325\) | 8.92688 | − | 5.37897i | 0.495174 | − | 0.298372i | ||||
\(326\) | 2.22470 | + | 2.26669i | 0.123215 | + | 0.125540i | ||||
\(327\) | 14.1680 | + | 7.48799i | 0.783490 | + | 0.414087i | ||||
\(328\) | 10.6486 | + | 27.8964i | 0.587972 | + | 1.54032i | ||||
\(329\) | 6.49688 | + | 1.16646i | 0.358185 | + | 0.0643093i | ||||
\(330\) | 6.84980 | − | 12.1246i | 0.377069 | − | 0.667438i | ||||
\(331\) | 12.1699 | − | 4.51558i | 0.668917 | − | 0.248199i | 0.00947616 | − | 0.999955i | \(-0.496984\pi\) |
0.659441 | + | 0.751757i | \(0.270793\pi\) | |||||||
\(332\) | 4.63130 | − | 0.966325i | 0.254176 | − | 0.0530340i | ||||
\(333\) | 0.403805 | + | 1.26692i | 0.0221284 | + | 0.0694270i | ||||
\(334\) | −3.18898 | − | 1.96242i | −0.174493 | − | 0.107379i | ||||
\(335\) | −10.4673 | − | 22.2659i | −0.571892 | − | 1.21651i | ||||
\(336\) | −4.43156 | + | 7.05278i | −0.241761 | + | 0.384761i | ||||
\(337\) | 19.8489 | − | 6.73780i | 1.08124 | − | 0.367032i | 0.276716 | − | 0.960952i | \(-0.410754\pi\) |
0.804524 | + | 0.593920i | \(0.202421\pi\) | |||||||
\(338\) | −5.66635 | + | 43.0402i | −0.308209 | + | 2.34108i | ||||
\(339\) | −5.21944 | + | 16.9210i | −0.283481 | + | 0.919023i | ||||
\(340\) | −0.569962 | − | 2.83845i | −0.0309106 | − | 0.153937i | ||||
\(341\) | −0.235103 | + | 3.13723i | −0.0127315 | + | 0.169890i | ||||
\(342\) | −54.2065 | − | 3.04417i | −2.93115 | − | 0.164610i | ||||
\(343\) | −1.53896 | + | 7.73689i | −0.0830962 | + | 0.417753i | ||||
\(344\) | 1.52727 | + | 16.3022i | 0.0823449 | + | 0.878957i | ||||
\(345\) | 1.17016 | + | 1.75127i | 0.0629993 | + | 0.0942851i | ||||
\(346\) | 0.122522 | − | 0.474980i | 0.00658684 | − | 0.0255351i | ||||
\(347\) | 13.4473 | − | 17.1897i | 0.721892 | − | 0.922793i | −0.277388 | − | 0.960758i | \(-0.589469\pi\) |
0.999279 | + | 0.0379653i | \(0.0120876\pi\) | |||||||
\(348\) | 6.75676 | − | 1.94659i | 0.362200 | − | 0.104348i | ||||
\(349\) | 16.1774 | − | 19.5254i | 0.865957 | − | 1.04517i | −0.132584 | − | 0.991172i | \(-0.542328\pi\) |
0.998541 | − | 0.0539972i | \(-0.0171962\pi\) | |||||||
\(350\) | 1.29851 | − | 0.640355i | 0.0694084 | − | 0.0342284i | ||||
\(351\) | 49.7275 | + | 56.7033i | 2.65426 | + | 3.02660i | ||||
\(352\) | −2.30461 | + | 2.43766i | −0.122836 | + | 0.129928i | ||||
\(353\) | 7.02175 | + | 9.51413i | 0.373730 | + | 0.506386i | 0.950587 | − | 0.310459i | \(-0.100483\pi\) |
−0.576857 | + | 0.816845i | \(0.695721\pi\) | |||||||
\(354\) | −38.1552 | + | 27.6125i | −2.02793 | + | 1.46759i | ||||
\(355\) | 17.5598 | + | 5.05889i | 0.931977 | + | 0.268498i | ||||
\(356\) | 0.0774380 | − | 0.0527963i | 0.00410420 | − | 0.00279820i | ||||
\(357\) | −7.06790 | − | 2.31155i | −0.374073 | − | 0.122340i | ||||
\(358\) | −0.735800 | − | 9.81857i | −0.0388882 | − | 0.518927i | ||||
\(359\) | −0.309079 | − | 16.5264i | −0.0163126 | − | 0.872230i | −0.907853 | − | 0.419289i | \(-0.862280\pi\) |
0.891540 | − | 0.452941i | \(-0.149625\pi\) | |||||||
\(360\) | 12.6722 | − | 28.3197i | 0.667885 | − | 1.49258i | ||||
\(361\) | −3.76009 | + | 7.11443i | −0.197899 | + | 0.374444i | ||||
\(362\) | 17.8806 | + | 0.167188i | 0.939781 | + | 0.00878719i | ||||
\(363\) | 9.03743 | + | 25.0730i | 0.474342 | + | 1.31599i | ||||
\(364\) | −0.301916 | + | 1.38223i | −0.0158247 | + | 0.0724484i | ||||
\(365\) | 1.36293 | + | 24.2693i | 0.0713392 | + | 1.27031i | ||||
\(366\) | −1.24736 | − | 22.2114i | −0.0652008 | − | 1.16101i | ||||
\(367\) | −7.27601 | + | 33.3110i | −0.379805 | + | 1.73882i | 0.255733 | + | 0.966748i | \(0.417683\pi\) |
−0.635538 | + | 0.772070i | \(0.719221\pi\) | |||||||
\(368\) | −0.574612 | − | 1.59417i | −0.0299537 | − | 0.0831021i | ||||
\(369\) | 80.8801 | + | 0.756249i | 4.21045 | + | 0.0393687i | ||||
\(370\) | 0.260471 | − | 0.492835i | 0.0135412 | − | 0.0256213i | ||||
\(371\) | −0.370226 | + | 0.827374i | −0.0192212 | + | 0.0429551i | ||||
\(372\) | −0.0446998 | − | 2.39009i | −0.00231758 | − | 0.123921i | ||||
\(373\) | 0.700471 | + | 9.34714i | 0.0362690 | + | 0.483976i | 0.985532 | + | 0.169492i | \(0.0542126\pi\) |
−0.949263 | + | 0.314485i | \(0.898168\pi\) | |||||||
\(374\) | −8.71774 | − | 4.90423i | −0.450783 | − | 0.253592i | ||||
\(375\) | −31.4221 | + | 21.4233i | −1.62263 | + | 1.10629i | ||||
\(376\) | 27.4388 | + | 7.90499i | 1.41505 | + | 0.407669i | ||||
\(377\) | −30.5870 | + | 22.1355i | −1.57531 | + | 1.14004i | ||||
\(378\) | 6.22147 | + | 8.42980i | 0.319998 | + | 0.433582i | ||||
\(379\) | 11.9275 | − | 12.6161i | 0.612674 | − | 0.648047i | −0.344081 | − | 0.938940i | \(-0.611810\pi\) |
0.956755 | + | 0.290893i | \(0.0939525\pi\) | |||||||
\(380\) | 2.40776 | + | 2.74552i | 0.123515 | + | 0.140842i | ||||
\(381\) | −37.9714 | + | 18.7254i | −1.94533 | + | 0.959332i | ||||
\(382\) | −10.7803 | + | 13.0113i | −0.551569 | + | 0.665718i | ||||
\(383\) | 16.7457 | − | 4.82434i | 0.855663 | − | 0.246512i | 0.179949 | − | 0.983676i | \(-0.442407\pi\) |
0.675714 | + | 0.737164i | \(0.263835\pi\) | |||||||
\(384\) | −25.8770 | + | 33.0785i | −1.32053 | + | 1.68803i | ||||
\(385\) | −0.416290 | + | 1.61382i | −0.0212161 | + | 0.0822480i | ||||
\(386\) | 1.06744 | + | 1.59754i | 0.0543315 | + | 0.0813128i | ||||
\(387\) | 42.6181 | + | 12.2821i | 2.16640 | + | 0.624334i | ||||
\(388\) | 0.498418 | − | 2.50572i | 0.0253034 | − | 0.127209i | ||||
\(389\) | −1.09335 | − | 0.0614014i | −0.0554352 | − | 0.00311317i | 0.0283312 | − | 0.999599i | \(-0.490981\pi\) |
−0.0837664 | + | 0.996485i | \(0.526695\pi\) | |||||||
\(390\) | 4.24600 | − | 56.6589i | 0.215005 | − | 2.86904i | ||||
\(391\) | 1.25637 | − | 0.842780i | 0.0635371 | − | 0.0426212i | ||||
\(392\) | −4.90673 | + | 15.9072i | −0.247827 | + | 0.803436i | ||||
\(393\) | 6.33825 | − | 48.1438i | 0.319722 | − | 2.42853i | ||||
\(394\) | 31.7409 | − | 10.7746i | 1.59908 | − | 0.542815i | ||||
\(395\) | 7.05397 | − | 11.2263i | 0.354924 | − | 0.564858i | ||||
\(396\) | 1.72875 | + | 3.67735i | 0.0868731 | + | 0.184794i | ||||
\(397\) | −14.8960 | − | 9.16662i | −0.747607 | − | 0.460059i | 0.0971093 | − | 0.995274i | \(-0.469040\pi\) |
−0.844716 | + | 0.535214i | \(0.820231\pi\) | |||||||
\(398\) | −12.6628 | − | 39.7290i | −0.634727 | − | 1.99143i | ||||
\(399\) | 9.18200 | − | 1.91583i | 0.459675 | − | 0.0959115i | ||||
\(400\) | 7.03684 | − | 2.61099i | 0.351842 | − | 0.130549i | ||||
\(401\) | −1.23275 | + | 2.18204i | −0.0615604 | + | 0.108966i | −0.899736 | − | 0.436434i | \(-0.856241\pi\) |
0.838176 | + | 0.545400i | \(0.183622\pi\) | |||||||
\(402\) | 63.5742 | + | 11.4143i | 3.17079 | + | 0.569291i | ||||
\(403\) | 4.57759 | + | 11.9920i | 0.228026 | + | 0.597364i | ||||
\(404\) | −0.934286 | − | 0.493785i | −0.0464825 | − | 0.0245667i | ||||
\(405\) | −21.1764 | − | 21.5761i | −1.05226 | − | 1.07213i | ||||
\(406\) | −4.49248 | + | 2.70698i | −0.222958 | + | 0.134345i | ||||
\(407\) | −0.112893 | − | 0.287647i | −0.00559591 | − | 0.0142582i | ||||
\(408\) | −29.3874 | − | 13.0860i | −1.45489 | − | 0.647856i | ||||
\(409\) | −4.83089 | − | 10.0314i | −0.238872 | − | 0.496023i | 0.746725 | − | 0.665133i | \(-0.231625\pi\) |
−0.985597 | + | 0.169110i | \(0.945911\pi\) | |||||||
\(410\) | −23.5235 | − | 24.4202i | −1.16174 | − | 1.20603i | ||||
\(411\) | −47.1819 | − | 2.20736i | −2.32731 | − | 0.108881i | ||||
\(412\) | 0.417384 | − | 0.0789733i | 0.0205630 | − | 0.00389074i | ||||
\(413\) | 3.55555 | − | 4.37399i | 0.174957 | − | 0.215230i | ||||
\(414\) | −3.82893 | − | 0.107429i | −0.188182 | − | 0.00527987i | ||||
\(415\) | 18.6671 | − | 12.9843i | 0.916332 | − | 0.637375i | ||||
\(416\) | −4.27817 | + | 13.0012i | −0.209755 | + | 0.637437i | ||||
\(417\) | 0.888021 | + | 2.39329i | 0.0434866 | + | 0.117200i | ||||
\(418\) | 12.6161 | − | 0.117964i | 0.617074 | − | 0.00576979i | ||||
\(419\) | 5.46691 | − | 10.5822i | 0.267076 | − | 0.516976i | −0.716474 | − | 0.697614i | \(-0.754245\pi\) |
0.983550 | + | 0.180638i | \(0.0578164\pi\) | |||||||
\(420\) | 0.200448 | − | 1.25044i | 0.00978086 | − | 0.0610153i | ||||
\(421\) | −20.3633 | + | 15.0288i | −0.992445 | + | 0.732458i | −0.963661 | − | 0.267128i | \(-0.913925\pi\) |
−0.0287839 | + | 0.999586i | \(0.509163\pi\) | |||||||
\(422\) | −6.38005 | + | 0.179007i | −0.310576 | + | 0.00871391i | ||||
\(423\) | 47.0870 | − | 61.3650i | 2.28945 | − | 2.98367i | ||||
\(424\) | −1.96060 | + | 3.39587i | −0.0952154 | + | 0.164918i | ||||
\(425\) | 3.78472 | + | 5.52957i | 0.183586 | + | 0.268223i | ||||
\(426\) | −37.5076 | + | 29.9113i | −1.81725 | + | 1.44921i | ||||
\(427\) | 0.832214 | + | 2.52907i | 0.0402737 | + | 0.122390i | ||||
\(428\) | 5.55234 | + | 4.17856i | 0.268382 | + | 0.201978i | ||||
\(429\) | −22.2714 | − | 22.2714i | −1.07527 | − | 1.07527i | ||||
\(430\) | −8.83984 | − | 16.3572i | −0.426295 | − | 0.788816i | ||||
\(431\) | −14.4886 | + | 2.88196i | −0.697891 | + | 0.138819i | −0.531271 | − | 0.847202i | \(-0.678285\pi\) |
−0.166620 | + | 0.986021i | \(0.553285\pi\) | |||||||
\(432\) | 27.5955 | + | 46.7811i | 1.32769 | + | 2.25076i | ||||
\(433\) | −3.63063 | + | 7.19188i | −0.174477 | + | 0.345620i | −0.963051 | − | 0.269320i | \(-0.913201\pi\) |
0.788574 | + | 0.614940i | \(0.210820\pi\) | |||||||
\(434\) | 0.493635 | + | 1.71344i | 0.0236952 | + | 0.0822480i | ||||
\(435\) | 26.2245 | − | 21.3175i | 1.25737 | − | 1.02210i | ||||
\(436\) | 1.85620 | + | 0.630094i | 0.0888958 | + | 0.0301760i | ||||
\(437\) | −0.843991 | + | 1.71145i | −0.0403736 | + | 0.0818695i | ||||
\(438\) | −54.0325 | − | 33.9509i | −2.58177 | − | 1.62224i | ||||
\(439\) | 7.83642 | − | 21.7410i | 0.374012 | − | 1.03764i | −0.597751 | − | 0.801682i | \(-0.703939\pi\) |
0.971763 | − | 0.235959i | \(-0.0758230\pi\) | |||||||
\(440\) | −2.50812 | + | 6.75960i | −0.119570 | + | 0.322251i | ||||
\(441\) | 35.2548 | + | 28.1147i | 1.67880 | + | 1.33880i | ||||
\(442\) | −40.7022 | − | 2.97591i | −1.93601 | − | 0.141550i | ||||
\(443\) | −19.3622 | + | 17.9655i | −0.919926 | + | 0.853567i | −0.989577 | − | 0.144005i | \(-0.954002\pi\) |
0.0696507 | + | 0.997571i | \(0.477812\pi\) | |||||||
\(444\) | 0.105814 | + | 0.209606i | 0.00502170 | + | 0.00994744i | ||||
\(445\) | 0.243217 | − | 0.379160i | 0.0115296 | − | 0.0179739i | ||||
\(446\) | −12.1603 | − | 19.3529i | −0.575805 | − | 0.916388i | ||||
\(447\) | −27.5538 | − | 22.3980i | −1.30325 | − | 1.05939i | ||||
\(448\) | 1.34219 | − | 3.15654i | 0.0634126 | − | 0.149132i | ||||
\(449\) | −8.42139 | − | 3.95896i | −0.397430 | − | 0.186835i | 0.216343 | − | 0.976317i | \(-0.430587\pi\) |
−0.613773 | + | 0.789483i | \(0.710349\pi\) | |||||||
\(450\) | 0.317242 | − | 16.9629i | 0.0149549 | − | 0.799637i | ||||
\(451\) | −18.7666 | + | 1.05391i | −0.883686 | + | 0.0496267i | ||||
\(452\) | −0.302794 | + | 2.14479i | −0.0142422 | + | 0.100882i | ||||
\(453\) | 0.435629 | − | 0.279439i | 0.0204676 | − | 0.0131292i | ||||
\(454\) | 3.32034 | − | 3.02355i | 0.155831 | − | 0.141902i | ||||
\(455\) | 1.26420 | + | 6.68148i | 0.0592668 | + | 0.313233i | ||||
\(456\) | 40.3623 | − | 4.16595i | 1.89014 | − | 0.195088i | ||||
\(457\) | 2.08847 | + | 12.2919i | 0.0976945 | + | 0.574989i | 0.991868 | + | 0.127269i | \(0.0406211\pi\) |
−0.894174 | + | 0.447720i | \(0.852236\pi\) | |||||||
\(458\) | 5.73382 | − | 14.6095i | 0.267924 | − | 0.682659i | ||||
\(459\) | −34.5446 | + | 34.0279i | −1.61240 | + | 1.58829i | ||||
\(460\) | 0.175240 | + | 0.188864i | 0.00817060 | + | 0.00880582i | ||||
\(461\) | 9.00928 | − | 13.7601i | 0.419604 | − | 0.640874i | −0.563028 | − | 0.826438i | \(-0.690364\pi\) |
0.982632 | + | 0.185564i | \(0.0594113\pi\) | |||||||
\(462\) | −2.82288 | − | 3.34296i | −0.131332 | − | 0.155529i | ||||
\(463\) | −1.21196 | − | 32.3902i | −0.0563244 | − | 1.50530i | −0.685520 | − | 0.728054i | \(-0.740425\pi\) |
0.629195 | − | 0.777247i | \(-0.283385\pi\) | |||||||
\(464\) | −24.6070 | + | 11.5679i | −1.14235 | + | 0.537028i | ||||
\(465\) | −4.69282 | − | 10.4874i | −0.217625 | − | 0.486343i | ||||
\(466\) | −3.39181 | − | 0.222311i | −0.157123 | − | 0.0102984i | ||||
\(467\) | 19.3545 | − | 14.8512i | 0.895618 | − | 0.687232i | −0.0547032 | − | 0.998503i | \(-0.517421\pi\) |
0.950321 | + | 0.311271i | \(0.100755\pi\) | |||||||
\(468\) | 12.7665 | + | 10.5774i | 0.590131 | + | 0.488943i | ||||
\(469\) | −7.70294 | + | 0.649736i | −0.355689 | + | 0.0300020i | ||||
\(470\) | −32.1862 | + | 3.93161i | −1.48464 | + | 0.181352i | ||||
\(471\) | 8.20070 | − | 1.15775i | 0.377868 | − | 0.0533462i | ||||
\(472\) | 17.2427 | − | 17.2427i | 0.793658 | − | 0.793658i | ||||
\(473\) | −10.0693 | − | 2.20033i | −0.462987 | − | 0.101171i | ||||
\(474\) | 13.3201 | + | 32.1576i | 0.611814 | + | 1.47705i | ||||
\(475\) | −7.61498 | − | 3.66718i | −0.349399 | − | 0.168262i | ||||
\(476\) | −0.898422 | − | 0.142346i | −0.0411791 | − | 0.00652443i | ||||
\(477\) | 6.62253 | + | 8.30439i | 0.303225 | + | 0.380232i | ||||
\(478\) | 2.60176 | + | 27.7453i | 0.119002 | + | 1.26904i | ||||
\(479\) | −4.61668 | + | 5.26432i | −0.210942 | + | 0.240533i | −0.847629 | − | 0.530589i | \(-0.821971\pi\) |
0.636688 | + | 0.771122i | \(0.280304\pi\) | |||||||
\(480\) | 3.17086 | − | 11.8338i | 0.144729 | − | 0.540137i | ||||
\(481\) | −0.916152 | − | 0.866146i | −0.0417729 | − | 0.0394929i | ||||
\(482\) | 7.12197 | − | 0.333194i | 0.324397 | − | 0.0151766i | ||||
\(483\) | 0.643770 | − | 0.153283i | 0.0292925 | − | 0.00697461i | ||||
\(484\) | 1.57700 | + | 2.85336i | 0.0716817 | + | 0.129698i | ||||
\(485\) | −2.50804 | − | 12.0203i | −0.113884 | − | 0.545814i | ||||
\(486\) | 24.5979 | − | 3.94309i | 1.11578 | − | 0.178862i | ||||
\(487\) | 30.8364 | − | 8.57239i | 1.39733 | − | 0.388452i | 0.514237 | − | 0.857648i | \(-0.328075\pi\) |
0.883094 | + | 0.469196i | \(0.155456\pi\) | |||||||
\(488\) | 2.45786 | + | 11.2525i | 0.111262 | + | 0.509378i | ||||
\(489\) | −5.44431 | + | 3.42089i | −0.246200 | + | 0.154698i | ||||
\(490\) | −1.94077 | − | 18.8034i | −0.0876751 | − | 0.849450i | ||||
\(491\) | −8.44189 | − | 1.76141i | −0.380977 | − | 0.0794912i | 0.00985900 | − | 0.999951i | \(-0.496862\pi\) |
−0.390836 | + | 0.920460i | \(0.627814\pi\) | |||||||
\(492\) | 14.1228 | − | 2.12867i | 0.636704 | − | 0.0959677i | ||||
\(493\) | −15.3460 | − | 18.8086i | −0.691150 | − | 0.847096i | ||||
\(494\) | 46.3789 | − | 22.3349i | 2.08669 | − | 1.00489i | ||||
\(495\) | 14.5625 | + | 13.0138i | 0.654534 | + | 0.584927i | ||||
\(496\) | 1.63355 | + | 9.09842i | 0.0733486 | + | 0.408531i | ||||
\(497\) | 3.40947 | − | 4.61967i | 0.152936 | − | 0.207220i | ||||
\(498\) | −0.558142 | + | 59.6927i | −0.0250109 | + | 2.67489i | ||||
\(499\) | −14.2078 | − | 26.2846i | −0.636029 | − | 1.17666i | −0.972043 | − | 0.234804i | \(-0.924555\pi\) |
0.336014 | − | 0.941857i | \(-0.390921\pi\) | |||||||
\(500\) | −3.38041 | + | 3.19590i | −0.151177 | + | 0.142925i | ||||
\(501\) | 5.25909 | − | 5.45955i | 0.234959 | − | 0.243915i | ||||
\(502\) | 43.6240 | + | 14.3549i | 1.94703 | + | 0.640690i | ||||
\(503\) | 1.08398 | + | 6.76213i | 0.0483324 | + | 0.301508i | 0.999984 | − | 0.00567127i | \(-0.00180523\pi\) |
−0.951652 | + | 0.307180i | \(0.900615\pi\) | |||||||
\(504\) | −6.95708 | − | 6.82819i | −0.309893 | − | 0.304152i | ||||
\(505\) | −5.06107 | − | 0.426896i | −0.225215 | − | 0.0189966i | ||||
\(506\) | 0.889517 | − | 0.0332834i | 0.0395438 | − | 0.00147963i | ||||
\(507\) | −82.6795 | − | 29.8014i | −3.67192 | − | 1.32353i | ||||
\(508\) | −4.22367 | + | 2.99685i | −0.187395 | + | 0.132964i | ||||
\(509\) | 33.2995 | − | 19.2255i | 1.47597 | − | 0.852154i | 0.476341 | − | 0.879261i | \(-0.341963\pi\) |
0.999633 | + | 0.0271071i | \(0.00862953\pi\) | |||||||
\(510\) | 36.5247 | + | 0.616757i | 1.61734 | + | 0.0273104i | ||||
\(511\) | 7.29799 | + | 2.25113i | 0.322844 | + | 0.0995842i | ||||
\(512\) | 6.38839 | − | 11.5589i | 0.282329 | − | 0.510837i | ||||
\(513\) | 16.3816 | − | 58.9274i | 0.723264 | − | 2.60171i | ||||
\(514\) | −0.352984 | + | 0.123514i | −0.0155695 | + | 0.00544799i | ||||
\(515\) | 1.69758 | − | 1.13429i | 0.0748044 | − | 0.0499827i | ||||
\(516\) | 7.77384 | + | 0.950281i | 0.342224 | + | 0.0418338i | ||||
\(517\) | −9.98625 | + | 14.9455i | −0.439195 | + | 0.657302i | ||||
\(518\) | −0.116706 | − | 0.130594i | −0.00512775 | − | 0.00573795i | ||||
\(519\) | 0.886512 | + | 0.447532i | 0.0389136 | + | 0.0196445i | ||||
\(520\) | 2.47250 | + | 29.3128i | 0.108426 | + | 1.28545i | ||||
\(521\) | −22.8203 | − | 2.35537i | −0.999775 | − | 0.103191i | −0.411125 | − | 0.911579i | \(-0.634864\pi\) |
−0.588650 | + | 0.808388i | \(0.700340\pi\) | |||||||
\(522\) | 4.01980 | + | 61.3303i | 0.175942 | + | 2.68435i | ||||
\(523\) | −3.84194 | − | 1.02944i | −0.167996 | − | 0.0450144i | 0.173841 | − | 0.984774i | \(-0.444382\pi\) |
−0.341837 | + | 0.939759i | \(0.611049\pi\) | |||||||
\(524\) | −0.166592 | − | 5.93757i | −0.00727761 | − | 0.259384i | ||||
\(525\) | 0.705553 | + | 2.84492i | 0.0307928 | + | 0.124163i | ||||
\(526\) | 16.0662 | − | 17.3152i | 0.700519 | − | 0.754980i | ||||
\(527\) | −7.52674 | + | 3.38441i | −0.327870 | + | 0.147427i | ||||
\(528\) | −12.7774 | − | 18.7410i | −0.556066 | − | 0.815599i | ||||
\(529\) | 9.53396 | − | 20.7829i | 0.414520 | − | 0.903604i | ||||
\(530\) | 0.539897 | − | 4.41988i | 0.0234516 | − | 0.191987i | ||||
\(531\) | −26.4141 | − | 60.5419i | −1.14628 | − | 2.62729i | ||||
\(532\) | 1.07192 | − | 0.409172i | 0.0464735 | − | 0.0177399i | ||||
\(533\) | −67.4644 | + | 36.4670i | −2.92221 | + | 1.57956i | ||||
\(534\) | 0.442320 | + | 1.09675i | 0.0191411 | + | 0.0474609i | ||||
\(535\) | 32.4170 | + | 8.03955i | 1.40151 | + | 0.347580i | ||||
\(536\) | −33.4354 | − | 0.625313i | −1.44419 | − | 0.0270094i | ||||
\(537\) | 19.7376 | + | 2.78649i | 0.851742 | + | 0.120246i | ||||
\(538\) | 28.5774 | − | 21.5067i | 1.23206 | − | 0.927220i | ||||
\(539\) | −8.60247 | − | 5.98365i | −0.370535 | − | 0.257734i | ||||
\(540\) | −6.64419 | − | 4.90364i | −0.285921 | − | 0.211019i | ||||
\(541\) | 18.4732 | − | 18.1310i | 0.794226 | − | 0.779511i | −0.184902 | − | 0.982757i | \(-0.559197\pi\) |
0.979128 | + | 0.203246i | \(0.0651491\pi\) | |||||||
\(542\) | 10.5402 | − | 8.73291i | 0.452741 | − | 0.375110i | ||||
\(543\) | −8.05540 | + | 35.2930i | −0.345690 | + | 1.51457i | ||||
\(544\) | −8.50407 | − | 2.26212i | −0.364609 | − | 0.0969875i | ||||
\(545\) | 9.39509 | − | 0.704065i | 0.402441 | − | 0.0301588i | ||||
\(546\) | −16.2260 | − | 7.44352i | −0.694408 | − | 0.318553i | ||||
\(547\) | 7.37954 | − | 3.13786i | 0.315526 | − | 0.134165i | −0.227749 | − | 0.973720i | \(-0.573137\pi\) |
0.543275 | + | 0.839555i | \(0.317184\pi\) | |||||||
\(548\) | −5.74141 | + | 0.646902i | −0.245261 | + | 0.0276343i | ||||
\(549\) | 30.8060 | + | 4.93827i | 1.31477 | + | 0.210760i | ||||
\(550\) | 0.184250 | + | 3.93831i | 0.00785644 | + | 0.167930i | ||||
\(551\) | 28.6057 | + | 10.9194i | 1.21864 | + | 0.465180i | ||||
\(552\) | 2.83830 | − | 0.373670i | 0.120806 | − | 0.0159044i | ||||
\(553\) | −2.53596 | − | 3.30492i | −0.107840 | − | 0.140540i | ||||
\(554\) | −20.6277 | − | 25.3759i | −0.876386 | − | 1.07812i | ||||
\(555\) | 0.862231 | + | 0.728089i | 0.0365997 | + | 0.0309056i | ||||
\(556\) | 0.153593 | + | 0.271871i | 0.00651381 | + | 0.0115299i | ||||
\(557\) | −4.73664 | − | 13.5365i | −0.200698 | − | 0.573561i | 0.798913 | − | 0.601446i | \(-0.205409\pi\) |
−0.999611 | + | 0.0278848i | \(0.991123\pi\) | |||||||
\(558\) | 20.4936 | + | 4.07643i | 0.867563 | + | 0.172569i | ||||
\(559\) | −40.9992 | + | 9.35403i | −1.73408 | + | 0.395633i | ||||
\(560\) | 4.89708i | 0.206939i | ||||||||
\(561\) | 13.4661 | − | 15.1237i | 0.568539 | − | 0.638525i | ||||
\(562\) | −12.8012 | − | 0.959314i | −0.539984 | − | 0.0404662i | ||||
\(563\) | −23.6170 | − | 13.0527i | −0.995339 | − | 0.550104i | −0.0997622 | − | 0.995011i | \(-0.531808\pi\) |
−0.895577 | + | 0.444907i | \(0.853237\pi\) | |||||||
\(564\) | 6.49465 | − | 12.0152i | 0.273474 | − | 0.505931i | ||||
\(565\) | 2.69449 | + | 10.0560i | 0.113358 | + | 0.423058i | ||||
\(566\) | −13.0636 | − | 6.44225i | −0.549103 | − | 0.270788i | ||||
\(567\) | −8.67025 | + | 3.87969i | −0.364116 | + | 0.162932i | ||||
\(568\) | 16.7232 | − | 18.3647i | 0.701689 | − | 0.770567i | ||||
\(569\) | 0.103152 | − | 0.0473199i | 0.00432434 | − | 0.00198375i | −0.414797 | − | 0.909914i | \(-0.636148\pi\) |
0.419122 | + | 0.907930i | \(0.362338\pi\) | |||||||
\(570\) | −40.3276 | + | 22.2883i | −1.68914 | + | 0.933553i | ||||
\(571\) | −0.00319170 | − | 0.341349i | −0.000133569 | − | 0.0142850i | 0.999864 | − | 0.0164921i | \(-0.00524984\pi\) |
−0.999998 | + | 0.00220709i | \(0.999297\pi\) | |||||||
\(572\) | −3.12116 | − | 2.25875i | −0.130502 | − | 0.0944431i | ||||
\(573\) | −21.0773 | − | 26.9431i | −0.880517 | − | 1.12556i | ||||
\(574\) | −9.76458 | + | 4.26024i | −0.407566 | + | 0.177819i | ||||
\(575\) | −0.544303 | − | 0.243560i | −0.0226990 | − | 0.0101571i | ||||
\(576\) | −25.6437 | − | 30.9507i | −1.06849 | − | 1.28961i | ||||
\(577\) | −2.04760 | − | 1.39603i | −0.0852426 | − | 0.0581174i | 0.519949 | − | 0.854197i | \(-0.325951\pi\) |
−0.605191 | + | 0.796080i | \(0.706903\pi\) | |||||||
\(578\) | 0.395370 | − | 26.2356i | 0.0164452 | − | 1.09126i | ||||
\(579\) | −3.62087 | + | 1.42109i | −0.150478 | + | 0.0590584i | ||||
\(580\) | 2.75468 | − | 3.08249i | 0.114382 | − | 0.127993i | ||||
\(581\) | −1.78451 | − | 6.91796i | −0.0740338 | − | 0.287005i | ||||
\(582\) | 29.5463 | + | 12.8909i | 1.22473 | + | 0.534346i | ||||
\(583\) | −1.66190 | − | 1.82503i | −0.0688289 | − | 0.0755852i | ||||
\(584\) | 30.4044 | + | 12.9283i | 1.25814 | + | 0.534975i | ||||
\(585\) | 76.3601 | + | 22.7743i | 3.15710 | + | 0.941601i | ||||
\(586\) | 10.2087 | − | 14.3878i | 0.421716 | − | 0.594353i | ||||
\(587\) | 16.1405 | + | 15.5479i | 0.666191 | + | 0.641730i | 0.948197 | − | 0.317683i | \(-0.102905\pi\) |
−0.282006 | + | 0.959413i | \(0.591000\pi\) | |||||||
\(588\) | 6.93254 | + | 3.91654i | 0.285893 | + | 0.161515i | ||||
\(589\) | 6.10276 | − | 8.43285i | 0.251460 | − | 0.347469i | ||||
\(590\) | −10.3569 | + | 25.6804i | −0.426388 | + | 1.05724i | ||||
\(591\) | 7.59797 | + | 67.4338i | 0.312539 | + | 2.77386i | ||||
\(592\) | −0.532306 | − | 0.735545i | −0.0218776 | − | 0.0302307i | ||||
\(593\) | 5.11057 | − | 1.26744i | 0.209866 | − | 0.0520477i | −0.134368 | − | 0.990931i | \(-0.542900\pi\) |
0.344234 | + | 0.938884i | \(0.388139\pi\) | |||||||
\(594\) | −27.8151 | + | 6.34861i | −1.14127 | + | 0.260487i | ||||
\(595\) | −4.24148 | + | 1.06008i | −0.173884 | + | 0.0434591i | ||||
\(596\) | −3.76163 | − | 2.17178i | −0.154082 | − | 0.0889594i | ||||
\(597\) | 84.0489 | − | 7.88154i | 3.43989 | − | 0.322570i | ||||
\(598\) | 3.22668 | − | 1.66694i | 0.131949 | − | 0.0681663i | ||||
\(599\) | −0.999084 | − | 1.16096i | −0.0408215 | − | 0.0474354i | 0.737190 | − | 0.675686i | \(-0.236152\pi\) |
−0.778011 | + | 0.628250i | \(0.783771\pi\) | |||||||
\(600\) | 1.77253 | + | 12.5554i | 0.0723633 | + | 0.512573i | ||||
\(601\) | −2.22303 | − | 11.1759i | −0.0906792 | − | 0.455875i | −0.999271 | − | 0.0381889i | \(-0.987841\pi\) |
0.908591 | − | 0.417686i | \(-0.137159\pi\) | |||||||
\(602\) | −5.78455 | + | 0.816126i | −0.235761 | + | 0.0332628i | ||||
\(603\) | −34.6654 | + | 83.6896i | −1.41168 | + | 3.40811i | ||||
\(604\) | 0.0472053 | − | 0.0421852i | 0.00192076 | − | 0.00171649i | ||||
\(605\) | 12.3415 | + | 9.65465i | 0.501755 | + | 0.392517i | ||||
\(606\) | 8.60260 | − | 10.1875i | 0.349457 | − | 0.413840i | ||||
\(607\) | 6.79165 | + | 22.7718i | 0.275664 | + | 0.924277i | 0.977321 | + | 0.211762i | \(0.0679202\pi\) |
−0.701657 | + | 0.712515i | \(0.747556\pi\) | |||||||
\(608\) | 10.7214 | − | 2.87279i | 0.434810 | − | 0.116507i | ||||
\(609\) | −3.41320 | − | 10.0550i | −0.138310 | − | 0.407447i | ||||
\(610\) | −7.56850 | − | 10.6668i | −0.306439 | − | 0.431886i | ||||
\(611\) | −10.9305 | + | 72.5190i | −0.442200 | + | 2.93381i | ||||
\(612\) | −6.31406 | + | 8.58784i | −0.255231 | + | 0.347143i | ||||
\(613\) | 14.2911 | − | 17.9205i | 0.577212 | − | 0.723801i | −0.404422 | − | 0.914572i | \(-0.632527\pi\) |
0.981635 | + | 0.190771i | \(0.0610988\pi\) | |||||||
\(614\) | 24.3726 | + | 15.9577i | 0.983600 | + | 0.644000i | ||||
\(615\) | 58.4623 | − | 35.9763i | 2.35743 | − | 1.45070i | ||||
\(616\) | 1.71704 | + | 1.47764i | 0.0691817 | + | 0.0595357i | ||||
\(617\) | 3.48320 | − | 0.760826i | 0.140228 | − | 0.0306297i | −0.142731 | − | 0.989761i | \(-0.545588\pi\) |
0.282960 | + | 0.959132i | \(0.408684\pi\) | |||||||
\(618\) | −0.150325 | + | 5.35780i | −0.00604697 | + | 0.215522i | ||||
\(619\) | 7.02389 | − | 23.5504i | 0.282314 | − | 0.946572i | −0.692098 | − | 0.721803i | \(-0.743314\pi\) |
0.974412 | − | 0.224769i | \(-0.0721626\pi\) | |||||||
\(620\) | −0.769855 | − | 1.17582i | −0.0309181 | − | 0.0472221i | ||||
\(621\) | 1.03871 | − | 4.18827i | 0.0416819 | − | 0.168069i | ||||
\(622\) | −33.9315 | − | 7.41156i | −1.36053 | − | 0.297177i | ||||
\(623\) | −0.0851063 | − | 0.113086i | −0.00340971 | − | 0.00453071i | ||||
\(624\) | −79.7105 | − | 47.0200i | −3.19097 | − | 1.88231i | ||||
\(625\) | −5.69164 | + | 13.0454i | −0.227666 | + | 0.521815i | ||||
\(626\) | −0.0639535 | + | 1.36700i | −0.00255610 | + | 0.0546361i | ||||
\(627\) | −5.21707 | + | 25.0038i | −0.208350 | + | 0.998557i | ||||
\(628\) | 0.968073 | − | 0.298611i | 0.0386303 | − | 0.0119159i | ||||
\(629\) | 0.521844 | − | 0.620268i | 0.0208073 | − | 0.0247317i | ||||
\(630\) | 10.3043 | + | 4.04412i | 0.410531 | + | 0.161122i | ||||
\(631\) | −24.8220 | + | 12.5307i | −0.988147 | + | 0.498840i | −0.869413 | − | 0.494086i | \(-0.835503\pi\) |
−0.118734 | + | 0.992926i | \(0.537884\pi\) | |||||||
\(632\) | −9.44470 | − | 15.3478i | −0.375690 | − | 0.610505i | ||||
\(633\) | 2.40225 | − | 12.6962i | 0.0954807 | − | 0.504628i | ||||
\(634\) | 2.26978 | − | 26.9094i | 0.0901446 | − | 1.06871i | ||||
\(635\) | −13.0452 | + | 21.1988i | −0.517684 | + | 0.841248i | ||||
\(636\) | 1.38675 | + | 1.26280i | 0.0549884 | + | 0.0500732i | ||||
\(637\) | −42.1503 | − | 7.16163i | −1.67006 | − | 0.283754i | ||||
\(638\) | −1.86429 | − | 14.1607i | −0.0738079 | − | 0.560626i | ||||
\(639\) | −29.7576 | − | 60.3424i | −1.17719 | − | 2.38711i | ||||
\(640\) | −2.53502 | + | 24.5608i | −0.100205 | + | 0.970851i | ||||
\(641\) | −8.82209 | + | 27.6790i | −0.348451 | + | 1.09325i | 0.606146 | + | 0.795354i | \(0.292715\pi\) |
−0.954597 | + | 0.297900i | \(0.903714\pi\) | |||||||
\(642\) | −66.4599 | + | 57.1934i | −2.62296 | + | 2.25724i | ||||
\(643\) | −17.2798 | + | 22.9608i | −0.681449 | + | 0.905487i | −0.999087 | − | 0.0427251i | \(-0.986396\pi\) |
0.317638 | + | 0.948212i | \(0.397110\pi\) | |||||||
\(644\) | 0.0747873 | − | 0.0309779i | 0.00294703 | − | 0.00122070i | ||||
\(645\) | 36.1713 | − | 10.4173i | 1.42424 | − | 0.410182i | ||||
\(646\) | 16.0617 | + | 28.9372i | 0.631939 | + | 1.13852i | ||||
\(647\) | 16.0916 | − | 33.4145i | 0.632625 | − | 1.31366i | −0.300387 | − | 0.953817i | \(-0.597116\pi\) |
0.933013 | − | 0.359843i | \(-0.117170\pi\) | |||||||
\(648\) | −39.0324 | + | 12.8440i | −1.53334 | + | 0.504559i | ||||
\(649\) | 7.04529 | + | 13.6375i | 0.276552 | + | 0.535318i | ||||
\(650\) | 7.51654 | + | 14.2220i | 0.294823 | + | 0.557832i | ||||
\(651\) | −3.60221 | + | 0.236102i | −0.141182 | + | 0.00925355i | ||||
\(652\) | −0.591336 | + | 0.518587i | −0.0231585 | + | 0.0203094i | ||||
\(653\) | 5.76476 | − | 15.1021i | 0.225592 | − | 0.590989i | −0.773490 | − | 0.633808i | \(-0.781491\pi\) |
0.999083 | + | 0.0428188i | \(0.0136338\pi\) | |||||||
\(654\) | −12.7652 | + | 21.1851i | −0.499160 | + | 0.828401i | ||||
\(655\) | −11.9038 | − | 25.9488i | −0.465120 | − | 1.01391i | ||||
\(656\) | −52.6203 | + | 16.7716i | −2.05448 | + | 0.654821i | ||||
\(657\) | 62.6882 | − | 63.8715i | 2.44570 | − | 2.49187i | ||||
\(658\) | −2.35979 | + | 9.91085i | −0.0919943 | + | 0.386365i | ||||
\(659\) | −30.4498 | + | 35.3833i | −1.18616 | + | 1.37834i | −0.277535 | + | 0.960715i | \(0.589518\pi\) |
−0.908621 | + | 0.417623i | \(0.862863\pi\) | |||||||
\(660\) | 2.90273 | + | 1.86198i | 0.112988 | + | 0.0724776i | ||||
\(661\) | −1.17990 | + | 0.200473i | −0.0458927 | + | 0.00779749i | −0.190407 | − | 0.981705i | \(-0.560981\pi\) |
0.144514 | + | 0.989503i | \(0.453838\pi\) | |||||||
\(662\) | 5.90538 | + | 19.1448i | 0.229519 | + | 0.744083i | ||||
\(663\) | 23.4700 | − | 79.2177i | 0.911501 | − | 3.07656i | ||||
\(664\) | −4.60640 | − | 30.5614i | −0.178763 | − | 1.18601i | ||||
\(665\) | 3.97160 | − | 3.82577i | 0.154012 | − | 0.148357i | ||||
\(666\) | −1.98730 | + | 0.512629i | −0.0770062 | + | 0.0198640i | ||||
\(667\) | 2.03902 | + | 0.713484i | 0.0789512 | + | 0.0276262i | ||||
\(668\) | 0.529493 | − | 0.761232i | 0.0204867 | − | 0.0294530i | ||||
\(669\) | 43.5308 | − | 15.6905i | 1.68300 | − | 0.606628i | ||||
\(670\) | 35.2179 | − | 14.2034i | 1.36059 | − | 0.548727i | ||||
\(671\) | −7.21861 | − | 0.676912i | −0.278671 | − | 0.0261319i | ||||
\(672\) | −3.13932 | − | 2.22747i | −0.121102 | − | 0.0859265i | ||||
\(673\) | 15.2191 | + | 21.8799i | 0.586652 | + | 0.843408i | 0.997670 | − | 0.0682187i | \(-0.0217315\pi\) |
−0.411018 | + | 0.911627i | \(0.634827\pi\) | |||||||
\(674\) | 8.66531 | + | 31.1706i | 0.333775 | + | 1.20065i | ||||
\(675\) | 18.5929 | + | 4.42701i | 0.715643 | + | 0.170396i | ||||
\(676\) | −10.5631 | − | 1.99865i | −0.406273 | − | 0.0768710i | ||||
\(677\) | 11.1255 | − | 9.39464i | 0.427587 | − | 0.361065i | −0.405605 | − | 0.914048i | \(-0.632939\pi\) |
0.833192 | + | 0.552983i | \(0.186511\pi\) | |||||||
\(678\) | −25.6238 | − | 9.50761i | −0.984078 | − | 0.365138i | ||||
\(679\) | −3.81496 | − | 0.575012i | −0.146405 | − | 0.0220669i | ||||
\(680\) | −18.7225 | + | 2.67785i | −0.717974 | + | 0.102691i | ||||
\(681\) | 4.54570 | + | 7.87339i | 0.174192 | + | 0.301709i | ||||
\(682\) | −4.81418 | − | 0.633798i | −0.184344 | − | 0.0242694i | ||||
\(683\) | 40.0392 | + | 21.6427i | 1.53206 | + | 0.828133i | 0.999829 | − | 0.0184680i | \(-0.00587887\pi\) |
0.532228 | + | 0.846601i | \(0.321355\pi\) | |||||||
\(684\) | 1.50536 | − | 13.3604i | 0.0575587 | − | 0.510848i | ||||
\(685\) | −24.1779 | + | 13.6593i | −0.923790 | + | 0.521896i | ||||
\(686\) | −11.7895 | − | 3.04113i | −0.450125 | − | 0.116111i | ||||
\(687\) | 26.4185 | + | 17.6523i | 1.00793 | + | 0.673477i | ||||
\(688\) | −30.2635 | + | 1.12972i | −1.15378 | + | 0.0430703i | ||||
\(689\) | −9.30434 | − | 3.85398i | −0.354467 | − | 0.146825i | ||||
\(690\) | −2.80000 | + | 1.65168i | −0.106594 | + | 0.0628783i | ||||
\(691\) | −0.629888 | − | 5.15660i | −0.0239621 | − | 0.196166i | 0.975783 | − | 0.218740i | \(-0.0701948\pi\) |
−0.999745 | + | 0.0225741i | \(0.992814\pi\) | |||||||
\(692\) | 0.115739 | + | 0.0368892i | 0.00439972 | + | 0.00140232i | ||||
\(693\) | 5.42515 | − | 2.86728i | 0.206084 | − | 0.108919i | ||||
\(694\) | 25.3259 | + | 22.2102i | 0.961358 | + | 0.843088i | ||||
\(695\) | 1.19067 | + | 0.913631i | 0.0451646 | + | 0.0346560i | ||||
\(696\) | −10.2216 | − | 44.7837i | −0.387448 | − | 1.69752i | ||||
\(697\) | −25.9171 | − | 41.9451i | −0.981681 | − | 1.58878i | ||||
\(698\) | 28.6889 | + | 26.6194i | 1.08589 | + | 1.00756i | ||||
\(699\) | 1.90503 | − | 6.61249i | 0.0720547 | − | 0.250107i | ||||
\(700\) | 0.140299 | + | 0.329952i | 0.00530280 | + | 0.0124710i | ||||
\(701\) | −0.823345 | + | 22.0043i | −0.0310973 | + | 0.831093i | 0.893254 | + | 0.449551i | \(0.148416\pi\) |
−0.924352 | + | 0.381541i | \(0.875393\pi\) | |||||||
\(702\) | −91.6842 | + | 71.7237i | −3.46040 | + | 2.70703i | ||||
\(703\) | −0.180681 | + | 1.00634i | −0.00681451 | + | 0.0379549i | ||||
\(704\) | 6.41688 | + | 6.78735i | 0.241845 | + | 0.255808i | ||||
\(705\) | 6.12887 | − | 65.3584i | 0.230827 | − | 2.46154i | ||||
\(706\) | −15.2691 | + | 9.99727i | −0.574661 | + | 0.376252i | ||||
\(707\) | −0.678922 | + | 1.44418i | −0.0255335 | + | 0.0543141i | ||||
\(708\) | −6.29746 | − | 9.81738i | −0.236673 | − | 0.368960i | ||||
\(709\) | 9.74929 | − | 16.5274i | 0.366142 | − | 0.620701i | −0.620385 | − | 0.784297i | \(-0.713024\pi\) |
0.986527 | + | 0.163596i | \(0.0523094\pi\) | |||||||
\(710\) | −9.31548 | + | 26.6221i | −0.349604 | + | 0.999110i | ||||
\(711\) | −48.0469 | + | 8.62645i | −1.80190 | + | 0.323517i | ||||
\(712\) | −0.315997 | − | 0.524425i | −0.0118425 | − | 0.0196537i | ||||
\(713\) | 0.413711 | − | 0.606802i | 0.0154936 | − | 0.0227249i | ||||
\(714\) | 4.17380 | − | 10.6917i | 0.156200 | − | 0.400127i | ||||
\(715\) | −18.0531 | − | 4.12051i | −0.675149 | − | 0.154098i | ||||
\(716\) | 2.43788 | − | 0.0455936i | 0.0911078 | − | 0.00170391i | ||||
\(717\) | −56.0003 | − | 6.84054i | −2.09137 | − | 0.255465i | ||||
\(718\) | 25.4942 | + | 0.953926i | 0.951435 | + | 0.0356002i | ||||
\(719\) | −19.9785 | − | 8.05735i | −0.745072 | − | 0.300488i | −0.0300100 | − | 0.999550i | \(-0.509554\pi\) |
−0.715062 | + | 0.699061i | \(0.753602\pi\) | |||||||
\(720\) | 50.9833 | + | 26.3386i | 1.90004 | + | 0.981582i | ||||
\(721\) | −0.148584 | − | 0.624035i | −0.00553356 | − | 0.0232403i | ||||
\(722\) | −10.6381 | − | 6.41005i | −0.395907 | − | 0.238557i | ||||
\(723\) | −2.41781 | + | 14.2302i | −0.0899193 | + | 0.529227i | ||||
\(724\) | −0.289616 | + | 4.41869i | −0.0107635 | + | 0.164219i | ||||
\(725\) | −3.07560 | + | 9.06041i | −0.114225 | + | 0.336495i | ||||
\(726\) | −39.4200 | + | 11.7570i | −1.46301 | + | 0.436342i | ||||
\(727\) | −27.7847 | − | 3.13059i | −1.03048 | − | 0.116107i | −0.419501 | − | 0.907755i | \(-0.637795\pi\) |
−0.610977 | + | 0.791648i | \(0.709223\pi\) | |||||||
\(728\) | 8.90493 | + | 2.47553i | 0.330039 | + | 0.0917494i | ||||
\(729\) | −0.0596775 | + | 1.06266i | −0.00221028 | + | 0.0393577i | ||||
\(730\) | −37.5173 | −1.38858 | ||||||||
\(731\) | −7.52969 | − | 25.9674i | −0.278496 | − | 0.960438i | ||||
\(732\) | 5.50913 | 0.203623 | ||||||||
\(733\) | −0.984552 | + | 17.5316i | −0.0363653 | + | 0.647543i | 0.926290 | + | 0.376812i | \(0.122980\pi\) |
−0.962655 | + | 0.270731i | \(0.912735\pi\) | |||||||
\(734\) | −50.7030 | − | 14.0952i | −1.87148 | − | 0.520265i | ||||
\(735\) | 38.0289 | + | 4.28483i | 1.40272 | + | 0.158048i | ||||
\(736\) | 0.750441 | − | 0.223818i | 0.0276616 | − | 0.00825004i | ||||
\(737\) | 6.76651 | − | 19.9335i | 0.249248 | − | 0.734260i | ||||
\(738\) | −8.16488 | + | 124.572i | −0.300554 | + | 4.58556i | ||||
\(739\) | 4.05274 | − | 23.8527i | 0.149082 | − | 0.877436i | −0.808334 | − | 0.588725i | \(-0.799630\pi\) |
0.957416 | − | 0.288712i | \(-0.0932269\pi\) | |||||||
\(740\) | 0.118238 | + | 0.0712452i | 0.00434651 | + | 0.00261903i | ||||
\(741\) | 24.1388 | + | 101.380i | 0.886760 | + | 3.72429i | ||||
\(742\) | −1.24296 | − | 0.642127i | −0.0456304 | − | 0.0235732i | ||||
\(743\) | 3.89534 | + | 1.57100i | 0.142906 | + | 0.0576343i | 0.444370 | − | 0.895843i | \(-0.353428\pi\) |
−0.301464 | + | 0.953478i | \(0.597475\pi\) | |||||||
\(744\) | −15.6057 | − | 0.583922i | −0.572131 | − | 0.0214076i | ||||
\(745\) | −20.7224 | − | 2.53128i | −0.759209 | − | 0.0927388i | ||||
\(746\) | −14.4647 | + | 0.270521i | −0.529591 | + | 0.00990448i | ||||
\(747\) | −81.6204 | − | 18.6293i | −2.98634 | − | 0.681612i | ||||
\(748\) | 1.33363 | − | 2.08738i | 0.0487624 | − | 0.0763223i | ||||
\(749\) | 5.91137 | − | 8.67039i | 0.215997 | − | 0.316809i | ||||
\(750\) | −30.2943 | − | 50.2761i | −1.10619 | − | 1.83582i | ||||
\(751\) | −28.2978 | + | 5.08065i | −1.03260 | + | 0.185396i | −0.666753 | − | 0.745279i | \(-0.732316\pi\) |
−0.365848 | + | 0.930675i | \(0.619221\pi\) | |||||||
\(752\) | −17.4437 | + | 49.8511i | −0.636105 | + | 1.81788i | ||||
\(753\) | −47.2383 | + | 80.0805i | −1.72146 | + | 2.91830i | ||||
\(754\) | −31.4641 | − | 49.0508i | −1.14586 | − | 1.78632i | ||||
\(755\) | 0.129452 | − | 0.275368i | 0.00471125 | − | 0.0100217i | ||||
\(756\) | −2.17067 | + | 1.42122i | −0.0789466 | + | 0.0516893i | ||||
\(757\) | 0.853651 | − | 9.10335i | 0.0310265 | − | 0.330867i | −0.966278 | − | 0.257499i | \(-0.917102\pi\) |
0.997305 | − | 0.0733678i | \(-0.0233747\pi\) | |||||||
\(758\) | 18.4094 | + | 19.4723i | 0.668660 | + | 0.707265i | ||||
\(759\) | −0.318458 | + | 1.77372i | −0.0115593 | + | 0.0643819i | ||||
\(760\) | 18.7895 | − | 14.6988i | 0.681567 | − | 0.533183i | ||||
\(761\) | 0.165623 | − | 4.42637i | 0.00600383 | − | 0.160456i | −0.993073 | − | 0.117498i | \(-0.962512\pi\) |
0.999077 | − | 0.0429574i | \(-0.0136780\pi\) | |||||||
\(762\) | −25.5701 | − | 60.1351i | −0.926306 | − | 2.17846i | ||||
\(763\) | 0.819479 | − | 2.84447i | 0.0296671 | − | 0.102977i | ||||
\(764\) | −3.06739 | − | 2.84612i | −0.110974 | − | 0.102969i | ||||
\(765\) | −11.7760 | + | 49.8594i | −0.425763 | + | 1.80267i | ||||
\(766\) | 5.98519 | + | 26.2228i | 0.216254 | + | 0.947470i | ||||
\(767\) | 49.6863 | + | 38.1256i | 1.79407 | + | 1.37664i | ||||
\(768\) | −20.8136 | − | 18.2531i | −0.751047 | − | 0.658650i | ||||
\(769\) | −39.2226 | + | 20.7297i | −1.41440 | + | 0.747533i | −0.987627 | − | 0.156824i | \(-0.949874\pi\) |
−0.426776 | + | 0.904357i | \(0.640351\pi\) | |||||||
\(770\) | −2.45090 | − | 0.781172i | −0.0883243 | − | 0.0281515i | ||||
\(771\) | −0.0917988 | − | 0.751514i | −0.00330605 | − | 0.0270651i | ||||
\(772\) | −0.409818 | + | 0.241745i | −0.0147497 | + | 0.00870061i | ||||
\(773\) | −19.3018 | − | 7.99507i | −0.694238 | − | 0.287563i | 0.00752670 | − | 0.999972i | \(-0.497604\pi\) |
−0.701765 | + | 0.712409i | \(0.747604\pi\) | |||||||
\(774\) | −22.6152 | + | 64.6122i | −0.812885 | + | 2.32244i | ||||
\(775\) | 2.70467 | + | 1.80720i | 0.0971547 | + | 0.0649167i | ||||
\(776\) | −16.1609 | − | 4.16874i | −0.580142 | − | 0.149649i | ||||
\(777\) | 0.308715 | − | 0.174408i | 0.0110751 | − | 0.00625687i | ||||
\(778\) | 0.189241 | − | 1.67956i | 0.00678462 | − | 0.0602152i | ||||
\(779\) | 54.7109 | + | 29.5732i | 1.96022 | + | 1.05957i | ||||
\(780\) | 13.9501 | + | 1.83656i | 0.499493 | + | 0.0657596i | ||||
\(781\) | 7.81756 | + | 13.5404i | 0.279734 | + | 0.484514i | ||||
\(782\) | 1.19001 | + | 2.00902i | 0.0425547 | + | 0.0718422i | ||||
\(783\) | −68.4660 | − | 10.3196i | −2.44678 | − | 0.368792i | ||||
\(784\) | −28.8668 | − | 10.7109i | −1.03096 | − | 0.382531i | ||||
\(785\) | 3.72023 | − | 3.14145i | 0.132781 | − | 0.112123i | ||||
\(786\) | 73.6419 | + | 13.9338i | 2.62672 | + | 0.497002i | ||||
\(787\) | 11.5062 | + | 2.73965i | 0.410152 | + | 0.0976579i | 0.431497 | − | 0.902114i | \(-0.357985\pi\) |
−0.0213455 | + | 0.999772i | \(0.506795\pi\) | |||||||
\(788\) | 2.22330 | + | 7.99761i | 0.0792019 | + | 0.284903i | ||||
\(789\) | 27.3062 | + | 39.2572i | 0.972127 | + | 1.39759i | ||||
\(790\) | 16.6895 | + | 11.8418i | 0.593786 | + | 0.421314i | ||||
\(791\) | 3.25670 | + | 0.305392i | 0.115795 | + | 0.0108585i | ||||
\(792\) | 24.6186 | − | 9.92872i | 0.874785 | − | 0.352802i | ||||
\(793\) | −27.8290 | + | 10.0308i | −0.988236 | + | 0.356205i | ||||
\(794\) | 15.4150 | − | 22.1616i | 0.547059 | − | 0.786487i | ||||
\(795\) | 8.50866 | + | 2.97731i | 0.301771 | + | 0.105594i | ||||
\(796\) | 9.99891 | − | 2.57924i | 0.354402 | − | 0.0914189i | ||||
\(797\) | 22.5023 | − | 21.6761i | 0.797073 | − | 0.767806i | −0.179324 | − | 0.983790i | \(-0.557391\pi\) |
0.976397 | + | 0.215984i | \(0.0692959\pi\) | |||||||
\(798\) | 2.15770 | + | 14.3154i | 0.0763818 | + | 0.506760i | ||||
\(799\) | −46.9533 | − | 4.31698i | −1.66109 | − | 0.152724i | ||||
\(800\) | 1.02237 | + | 3.31445i | 0.0361463 | + | 0.117184i | ||||
\(801\) | −1.63508 | + | 0.277811i | −0.0577726 | + | 0.00981596i | ||||
\(802\) | −3.25588 | − | 2.08852i | −0.114969 | − | 0.0737481i | ||||
\(803\) | −13.5659 | + | 15.7638i | −0.478729 | + | 0.556294i | ||||
\(804\) | −3.70495 | + | 15.5604i | −0.130664 | + | 0.548772i | ||||
\(805\) | 0.272527 | − | 0.277671i | 0.00960531 | − | 0.00978663i | ||||
\(806\) | −18.8760 | + | 6.01633i | −0.664879 | + | 0.211916i | ||||
\(807\) | 30.1913 | + | 65.8134i | 1.06278 | + | 2.31674i | ||||
\(808\) | −3.56291 | + | 5.91297i | −0.125343 | + | 0.208018i | ||||
\(809\) | 18.7913 | − | 49.2281i | 0.660668 | − | 1.73077i | −0.0217068 | − | 0.999764i | \(-0.506910\pi\) |
0.682375 | − | 0.731002i | \(-0.260947\pi\) | |||||||
\(810\) | 35.0818 | − | 30.7659i | 1.23265 | − | 1.08100i | ||||
\(811\) | 35.8076 | − | 2.34696i | 1.25738 | − | 0.0824128i | 0.577898 | − | 0.816109i | \(-0.303873\pi\) |
0.679478 | + | 0.733696i | \(0.262206\pi\) | |||||||
\(812\) | −0.606927 | − | 1.14836i | −0.0212990 | − | 0.0402996i | ||||
\(813\) | 12.7189 | + | 24.6198i | 0.446071 | + | 0.863455i | ||||
\(814\) | 0.453039 | − | 0.149077i | 0.0158790 | − | 0.00522514i | ||||
\(815\) | −1.64018 | + | 3.40588i | −0.0574532 | + | 0.119303i | ||||
\(816\) | 27.2135 | − | 52.9122i | 0.952663 | − | 1.85230i | ||||
\(817\) | 24.5591 | + | 23.6615i | 0.859215 | + | 0.827812i | ||||
\(818\) | 15.8767 | − | 6.57634i | 0.555115 | − | 0.229936i | ||||
\(819\) | 15.0547 | − | 20.0042i | 0.526055 | − | 0.699005i | ||||
\(820\) | 6.36458 | − | 5.47716i | 0.222261 | − | 0.191271i | ||||
\(821\) | 16.3925 | − | 51.4310i | 0.572104 | − | 1.79495i | −0.0338148 | − | 0.999428i | \(-0.510766\pi\) |
0.605918 | − | 0.795527i | \(-0.292806\pi\) | |||||||
\(822\) | 7.48478 | − | 72.5171i | 0.261062 | − | 2.52932i | ||||
\(823\) | −11.4872 | − | 23.2937i | −0.400418 | − | 0.811967i | −0.999933 | − | 0.0116033i | \(-0.996306\pi\) |
0.599515 | − | 0.800364i | \(-0.295360\pi\) | |||||||
\(824\) | −0.362215 | − | 2.75130i | −0.0126184 | − | 0.0958460i | ||||
\(825\) | −7.86903 | − | 1.33700i | −0.273964 | − | 0.0465484i | ||||
\(826\) | 6.43268 | + | 5.85769i | 0.223822 | + | 0.203815i | ||||
\(827\) | −13.9592 | + | 22.6840i | −0.485409 | + | 0.788800i | −0.997539 | − | 0.0701072i | \(-0.977666\pi\) |
0.512131 | + | 0.858908i | \(0.328856\pi\) | |||||||
\(828\) | 0.0797284 | − | 0.945220i | 0.00277075 | − | 0.0328487i | ||||
\(829\) | −4.40151 | + | 23.2625i | −0.152871 | + | 0.807942i | 0.819246 | + | 0.573443i | \(0.194392\pi\) |
−0.972116 | + | 0.234499i | \(0.924655\pi\) | |||||||
\(830\) | 18.3936 | + | 29.8900i | 0.638450 | + | 1.03750i | ||||
\(831\) | 59.1015 | − | 29.8358i | 2.05021 | − | 1.03499i | ||||
\(832\) | 35.4753 | + | 13.9230i | 1.22989 | + | 0.482694i | ||||
\(833\) | 3.02809 | − | 27.3208i | 0.104917 | − | 0.946610i | ||||
\(834\) | −3.76496 | + | 1.16134i | −0.130370 | + | 0.0402137i | ||||
\(835\) | 0.910301 | − | 4.36280i | 0.0315023 | − | 0.150981i | ||||
\(836\) | −0.146013 | + | 3.12100i | −0.00504995 | + | 0.107942i | ||||
\(837\) | −9.41313 | + | 21.5751i | −0.325365 | + | 0.745745i | ||||
\(838\) | 15.8343 | + | 9.34040i | 0.546986 | + | 0.322659i | ||||
\(839\) | 13.5452 | + | 17.9985i | 0.467634 | + | 0.621376i | 0.969949 | − | 0.243308i | \(-0.0782326\pi\) |
−0.502315 | + | 0.864685i | \(0.667518\pi\) | |||||||
\(840\) | −8.08252 | − | 1.76544i | −0.278874 | − | 0.0609135i | ||||
\(841\) | 1.36305 | − | 5.49606i | 0.0470016 | − | 0.189519i | ||||
\(842\) | −21.3973 | − | 32.6807i | −0.737400 | − | 1.12625i | ||||
\(843\) | 7.42773 | − | 24.9045i | 0.255824 | − | 0.857755i | ||||
\(844\) | 0.0443296 | − | 1.57997i | 0.00152589 | − | 0.0543847i | ||||
\(845\) | −50.4800 | + | 11.0262i | −1.73657 | + | 0.379313i | ||||
\(846\) | 90.4895 | + | 77.8725i | 3.11109 | + | 2.67731i | ||||
\(847\) | 4.19290 | − | 2.58021i | 0.144070 | − | 0.0886570i | ||||
\(848\) | −6.06777 | − | 3.97280i | −0.208368 | − | 0.136426i | ||||
\(849\) | 18.3856 | − | 23.0548i | 0.630991 | − | 0.791238i | ||||
\(850\) | −8.84869 | + | 5.35378i | −0.303508 | + | 0.183633i | ||||
\(851\) | −0.0107512 | + | 0.0713298i | −0.000368547 | + | 0.00244515i | ||||
\(852\) | −6.87483 | − | 9.68916i | −0.235528 | − | 0.331945i | ||||
\(853\) | 0.164089 | + | 0.483389i | 0.00561829 | + | 0.0165509i | 0.949703 | − | 0.313152i | \(-0.101385\pi\) |
−0.944085 | + | 0.329703i | \(0.893052\pi\) | |||||||
\(854\) | −3.96936 | + | 1.06359i | −0.135829 | + | 0.0363952i | ||||
\(855\) | −18.4690 | − | 61.9249i | −0.631627 | − | 2.11779i | ||||
\(856\) | 29.2883 | − | 34.6843i | 1.00105 | − | 1.18549i | ||||
\(857\) | −36.7841 | − | 28.7759i | −1.25652 | − | 0.982965i | −0.999864 | − | 0.0164622i | \(-0.994760\pi\) |
−0.256658 | − | 0.966502i | \(-0.582621\pi\) | |||||||
\(858\) | 36.2479 | − | 32.3931i | 1.23748 | − | 1.10588i | ||||
\(859\) | −21.1661 | + | 51.0996i | −0.722179 | + | 1.74349i | −0.0551326 | + | 0.998479i | \(0.517558\pi\) |
−0.667047 | + | 0.745016i | \(0.732442\pi\) | |||||||
\(860\) | 4.16711 | − | 1.95854i | 0.142097 | − | 0.0667858i | ||||
\(861\) | −4.20769 | − | 21.1535i | −0.143398 | − | 0.720908i | ||||
\(862\) | −3.18728 | − | 22.5766i | −0.108559 | − | 0.768961i | ||||
\(863\) | −2.59391 | − | 3.01417i | −0.0882976 | − | 0.102604i | 0.712085 | − | 0.702093i | \(-0.247751\pi\) |
−0.800382 | + | 0.599490i | \(0.795370\pi\) | |||||||
\(864\) | −22.2998 | + | 11.5204i | −0.758656 | + | 0.391931i | ||||
\(865\) | 0.581296 | − | 0.0545100i | 0.0197647 | − | 0.00185340i | ||||
\(866\) | −10.7686 | − | 6.21726i | −0.365932 | − | 0.211271i | ||||
\(867\) | 51.7195 | + | 12.1162i | 1.75649 | + | 0.411489i | ||||
\(868\) | −0.430507 | + | 0.0982605i | −0.0146124 | + | 0.00333518i | ||||
\(869\) | 11.0104 | − | 2.73062i | 0.373502 | − | 0.0926301i | ||||
\(870\) | 30.5811 | + | 42.2572i | 1.03680 | + | 1.43265i | ||||
\(871\) | −9.61640 | − | 85.3479i | −0.325839 | − | 2.89190i | ||||
\(872\) | 4.78968 | − | 11.8762i | 0.162199 | − | 0.402178i | ||||
\(873\) | −26.5049 | + | 36.6247i | −0.897056 | + | 1.23956i | ||||
\(874\) | −2.56432 | − | 1.44872i | −0.0867396 | − | 0.0490035i | ||||
\(875\) | 5.05946 | + | 4.87368i | 0.171041 | + | 0.164761i | ||||
\(876\) | 9.14469 | − | 12.8882i | 0.308971 | − | 0.435453i | ||||
\(877\) | 41.9032 | + | 12.4976i | 1.41497 | + | 0.422013i | 0.900261 | − | 0.435351i | \(-0.143376\pi\) |
0.514710 | + | 0.857364i | \(0.327900\pi\) | |||||||
\(878\) | 32.8250 | + | 13.9576i | 1.10779 | + | 0.471045i | ||||
\(879\) | 24.0467 | + | 26.4071i | 0.811074 | + | 0.890689i | ||||
\(880\) | −12.2227 | − | 5.33273i | −0.412028 | − | 0.179766i | ||||
\(881\) | 9.42685 | + | 36.5449i | 0.317598 | + | 1.23123i | 0.906216 | + | 0.422816i | \(0.138958\pi\) |
−0.588617 | + | 0.808412i | \(0.700327\pi\) | |||||||
\(882\) | −46.3763 | + | 51.8951i | −1.56157 | + | 1.74740i | ||||
\(883\) | 34.4111 | − | 13.5054i | 1.15803 | − | 0.454491i | 0.292947 | − | 0.956129i | \(-0.405364\pi\) |
0.865078 | + | 0.501637i | \(0.167269\pi\) | |||||||
\(884\) | 1.30097 | − | 10.0224i | 0.0437562 | − | 0.337090i | ||||
\(885\) | −46.3178 | − | 31.5789i | −1.55696 | − | 1.06151i | ||||
\(886\) | −26.0095 | − | 31.3922i | −0.873806 | − | 1.05464i | ||||
\(887\) | −21.7306 | − | 9.72382i | −0.729642 | − | 0.326494i | 0.00958127 | − | 0.999954i | \(-0.496950\pi\) |
−0.739223 | + | 0.673460i | \(0.764807\pi\) | |||||||
\(888\) | 1.40590 | − | 0.613389i | 0.0471790 | − | 0.0205840i | ||||
\(889\) | 4.81871 | + | 6.15975i | 0.161614 | + | 0.206591i | ||||
\(890\) | 0.563244 | + | 0.407614i | 0.0188800 | + | 0.0136632i | ||||
\(891\) | −0.241845 | − | 25.8651i | −0.00810212 | − | 0.866514i | ||||
\(892\) | 4.95391 | − | 2.73793i | 0.165869 | − | 0.0916726i | ||||
\(893\) | 54.0576 | − | 24.7984i | 1.80897 | − | 0.829847i | ||||
\(894\) | 36.9003 | − | 40.5224i | 1.23413 | − | 1.35527i | ||||
\(895\) | 10.6971 | − | 4.78665i | 0.357565 | − | 0.160000i | ||||
\(896\) | 6.95782 | + | 3.43122i | 0.232444 | + | 0.114629i | ||||
\(897\) | 1.90299 | + | 7.10206i | 0.0635391 | + | 0.237131i | ||||
\(898\) | 6.82962 | − | 12.6349i | 0.227907 | − | 0.421632i | ||||
\(899\) | −10.3138 | − | 5.70022i | −0.343984 | − | 0.190113i | ||||
\(900\) | 4.18970 | + | 0.313975i | 0.139657 | + | 0.0104658i | ||||
\(901\) | 2.12743 | − | 6.11544i | 0.0708750 | − | 0.203735i | ||||
\(902\) | − | 29.0109i | − | 0.965957i | ||||||
\(903\) | 0.884848 | − | 11.7936i | 0.0294459 | − | 0.392467i | ||||
\(904\) | 13.8784 | + | 2.76058i | 0.461588 | + | 0.0918156i | ||||
\(905\) | 7.02936 | + | 20.0888i | 0.233664 | + | 0.667773i | ||||
\(906\) | 0.392919 | + | 0.695494i | 0.0130539 | + | 0.0231062i | ||||
\(907\) | 30.8207 | + | 26.0258i | 1.02338 | + | 0.864171i | 0.990805 | − | 0.135298i | \(-0.0431992\pi\) |
0.0325796 | + | 0.999469i | \(0.489628\pi\) | |||||||
\(908\) | 0.701474 | + | 0.862944i | 0.0232792 | + | 0.0286378i | ||||
\(909\) | 11.3838 | + | 14.8357i | 0.377577 | + | 0.492068i | ||||
\(910\) | −10.4057 | + | 1.36993i | −0.344945 | + | 0.0454128i | ||||
\(911\) | −11.0956 | − | 4.23540i | −0.367613 | − | 0.140325i | 0.165845 | − | 0.986152i | \(-0.446965\pi\) |
−0.533458 | + | 0.845827i | \(0.679108\pi\) | |||||||
\(912\) | 3.50732 | + | 74.9684i | 0.116139 | + | 2.48245i | ||||
\(913\) | 19.2099 | + | 3.07939i | 0.635757 | + | 0.101913i | ||||
\(914\) | −19.1227 | + | 2.15461i | −0.632523 | + | 0.0712682i | ||||
\(915\) | 24.3672 | − | 10.3612i | 0.805554 | − | 0.342530i | ||||
\(916\) | 3.53263 | + | 1.62056i | 0.116721 | + | 0.0535448i | ||||
\(917\) | −8.94485 | + | 0.670324i | −0.295385 | + | 0.0221360i | ||||
\(918\) | −49.4480 | − | 56.1786i | −1.63203 | − | 1.85417i | ||||
\(919\) | 1.10716 | − | 4.85077i | 0.0365218 | − | 0.160012i | −0.953379 | − | 0.301777i | \(-0.902420\pi\) |
0.989900 | + | 0.141764i | \(0.0452775\pi\) | |||||||
\(920\) | 1.29604 | − | 1.07382i | 0.0427293 | − | 0.0354026i | ||||
\(921\) | −42.0915 | + | 41.3117i | −1.38696 | + | 1.36127i | ||||
\(922\) | 20.4249 | + | 15.0743i | 0.672659 | + | 0.496445i | ||||
\(923\) | 52.3693 | + | 36.4267i | 1.72376 | + | 1.19900i | ||||
\(924\) | 0.865751 | − | 0.651545i | 0.0284811 | − | 0.0214343i | ||||
\(925\) | −0.316366 | − | 0.0446635i | −0.0104021 | − | 0.00146853i | ||||
\(926\) | 50.0187 | + | 0.935457i | 1.64372 | + | 0.0307410i | ||||
\(927\) | −7.29596 | − | 1.80943i | −0.239631 | − | 0.0594294i | ||||
\(928\) | −4.69984 | − | 11.6534i | −0.154280 | − | 0.382542i | ||||
\(929\) | −26.8524 | + | 14.5147i | −0.880998 | + | 0.476212i | −0.852105 | − | 0.523371i | \(-0.824674\pi\) |
−0.0288929 | + | 0.999583i | \(0.509198\pi\) | |||||||
\(930\) | 16.5674 | − | 6.32412i | 0.543267 | − | 0.207376i | ||||
\(931\) | 13.8651 | + | 31.7791i | 0.454409 | + | 1.04152i | ||||
\(932\) | 0.102064 | − | 0.835546i | 0.00334320 | − | 0.0273692i | ||||
\(933\) | 29.3181 | − | 63.9099i | 0.959831 | − | 2.09232i | ||||
\(934\) | 21.2110 | + | 31.1108i | 0.694045 | + | 1.01798i | ||||
\(935\) | 1.97292 | − | 11.7408i | 0.0645213 | − | 0.383965i | ||||
\(936\) | 73.6672 | − | 79.3944i | 2.40789 | − | 2.59509i | ||||
\(937\) | 13.1796 | + | 53.1428i | 0.430560 | + | 1.73610i | 0.649501 | + | 0.760361i | \(0.274978\pi\) |
−0.218941 | + | 0.975738i | \(0.570260\pi\) | |||||||
\(938\) | −0.334628 | − | 11.9266i | −0.0109260 | − | 0.389417i | ||||
\(939\) | −2.67610 | − | 0.717058i | −0.0873311 | − | 0.0234003i | ||||
\(940\) | −0.525181 | − | 8.01271i | −0.0171295 | − | 0.261346i | ||||
\(941\) | −49.6686 | − | 5.12649i | −1.61915 | − | 0.167119i | −0.749921 | − | 0.661528i | \(-0.769908\pi\) |
−0.869230 | + | 0.494409i | \(0.835385\pi\) | |||||||
\(942\) | 1.07440 | + | 12.7376i | 0.0350060 | + | 0.415014i | ||||
\(943\) | 3.91700 | + | 1.97739i | 0.127555 | + | 0.0643928i | ||||
\(944\) | 30.0536 | + | 33.6300i | 0.978161 | + | 1.09456i | ||||
\(945\) | −6.92806 | + | 10.3686i | −0.225370 | + | 0.337290i | ||||
\(946\) | 4.26216 | − | 15.3265i | 0.138575 | − | 0.498309i | ||||
\(947\) | −1.73737 | + | 1.16087i | −0.0564569 | + | 0.0377233i | −0.583478 | − | 0.812129i | \(-0.698309\pi\) |
0.527021 | + | 0.849852i | \(0.323309\pi\) | |||||||
\(948\) | −8.13600 | + | 2.84691i | −0.264245 | + | 0.0924633i | ||||
\(949\) | −22.7274 | + | 81.7543i | −0.737762 | + | 2.65386i | ||||
\(950\) | 6.31020 | − | 11.4174i | 0.204730 | − | 0.370431i | ||||
\(951\) | 52.2425 | + | 16.1147i | 1.69408 | + | 0.522554i | ||||
\(952\) | −1.25753 | + | 5.80778i | −0.0407569 | + | 0.188231i | ||||
\(953\) | −50.5067 | + | 29.1601i | −1.63607 | + | 0.944587i | −0.653907 | + | 0.756575i | \(0.726871\pi\) |
−0.982167 | + | 0.188012i | \(0.939795\pi\) | |||||||
\(954\) | −13.3703 | + | 9.48675i | −0.432880 | + | 0.307145i | ||||
\(955\) | −18.9200 | − | 6.81962i | −0.612237 | − | 0.220678i | ||||
\(956\) | −6.89621 | + | 0.258038i | −0.223039 | + | 0.00834554i | ||||
\(957\) | 28.8132 | + | 2.43037i | 0.931400 | + | 0.0785626i | ||||
\(958\) | −7.71287 | − | 7.56997i | −0.249191 | − | 0.244575i | ||||
\(959\) | 1.38101 | + | 8.61506i | 0.0445952 | + | 0.278195i | ||||
\(960\) | −32.4029 | − | 10.6625i | −1.04580 | − | 0.344130i | ||||
\(961\) | 18.7272 | − | 19.4410i | 0.604104 | − | 0.627131i | ||||
\(962\) | 1.41403 | − | 1.33685i | 0.0455902 | − | 0.0431017i | ||||
\(963\) | −58.4732 | − | 108.176i | −1.88427 | − | 3.48593i | ||||
\(964\) | −0.0165083 | + | 1.76555i | −0.000531698 | + | 0.0568645i | ||||
\(965\) | −1.35799 | + | 1.84001i | −0.0437152 | + | 0.0592319i | ||||
\(966\) | 0.180498 | + | 1.00532i | 0.00580744 | + | 0.0323458i | ||||
\(967\) | 21.5360 | + | 19.2457i | 0.692550 | + | 0.618901i | 0.936409 | − | 0.350910i | \(-0.114128\pi\) |
−0.243859 | + | 0.969811i | \(0.578413\pi\) | |||||||
\(968\) | 19.1886 | − | 9.24073i | 0.616744 | − | 0.297008i | ||||
\(969\) | −64.1727 | + | 19.2664i | −2.06153 | + | 0.618925i | ||||
\(970\) | 18.7405 | − | 2.82468i | 0.601722 | − | 0.0906951i | ||||
\(971\) | −51.0362 | − | 10.6487i | −1.63783 | − | 0.341734i | −0.707007 | − | 0.707207i | \(-0.749955\pi\) |
−0.930822 | + | 0.365473i | \(0.880907\pi\) | |||||||
\(972\) | 0.633387 | + | 6.13664i | 0.0203159 | + | 0.196833i | ||||
\(973\) | 0.399268 | − | 0.250877i | 0.0127999 | − | 0.00804273i | ||||
\(974\) | 10.5416 | + | 48.2613i | 0.337774 | + | 1.54639i | ||||
\(975\) | −31.3764 | + | 8.72250i | −1.00485 | + | 0.279344i | ||||
\(976\) | −21.0348 | + | 3.37192i | −0.673307 | + | 0.107932i | ||||
\(977\) | 2.13900 | + | 10.2516i | 0.0684327 | + | 0.327978i | 0.999301 | − | 0.0373768i | \(-0.0119002\pi\) |
−0.930868 | + | 0.365354i | \(0.880948\pi\) | |||||||
\(978\) | −4.80048 | − | 8.68582i | −0.153503 | − | 0.277742i | ||||
\(979\) | 0.374932 | − | 0.0892721i | 0.0119829 | − | 0.00285315i | ||||
\(980\) | 4.67613 | − | 0.218768i | 0.149373 | − | 0.00698828i | ||||
\(981\) | −25.2062 | − | 23.8304i | −0.804772 | − | 0.760845i | ||||
\(982\) | 3.44493 | − | 12.8567i | 0.109932 | − | 0.410272i | ||||
\(983\) | 36.2591 | − | 41.3456i | 1.15649 | − | 1.31872i | 0.216986 | − | 0.976175i | \(-0.430378\pi\) |
0.939501 | − | 0.342546i | \(-0.111289\pi\) | |||||||
\(984\) | −8.71106 | − | 92.8950i | −0.277698 | − | 2.96138i | ||||
\(985\) | 24.8751 | + | 31.1924i | 0.792587 | + | 0.993872i | ||||
\(986\) | 30.3124 | − | 22.0207i | 0.965344 | − | 0.701283i | ||||
\(987\) | −18.5828 | − | 8.94901i | −0.591497 | − | 0.284850i | ||||
\(988\) | 4.87837 | + | 11.7774i | 0.155201 | + | 0.374689i | ||||
\(989\) | 1.77885 | + | 1.62013i | 0.0565642 | + | 0.0515172i | ||||
\(990\) | −21.3148 | + | 21.3148i | −0.677427 | + | 0.677427i | ||||
\(991\) | −55.2086 | + | 7.79416i | −1.75376 | + | 0.247590i | −0.941812 | − | 0.336140i | \(-0.890879\pi\) |
−0.811948 | + | 0.583730i | \(0.801593\pi\) | |||||||
\(992\) | −4.24034 | + | 0.517965i | −0.134631 | + | 0.0164454i | ||||
\(993\) | −40.4169 | + | 3.40913i | −1.28259 | + | 0.108185i | ||||
\(994\) | 6.82392 | + | 5.65384i | 0.216442 | + | 0.179329i | ||||
\(995\) | 39.3748 | − | 30.2133i | 1.24826 | − | 0.957827i | ||||
\(996\) | −14.7514 | − | 0.966858i | −0.467416 | − | 0.0306361i | ||||
\(997\) | −13.5872 | − | 30.3645i | −0.430312 | − | 0.961652i | −0.991029 | − | 0.133645i | \(-0.957332\pi\) |
0.560718 | − | 0.828007i | \(-0.310525\pi\) | |||||||
\(998\) | 41.7346 | − | 19.6197i | 1.32109 | − | 0.621052i | ||||
\(999\) | −0.0864506 | − | 2.31044i | −0.00273517 | − | 0.0730991i |
(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 | 731.2.bm.a.3.16 | ✓ | 6144 | |
17.6 | odd | 16 | inner | 731.2.bm.a.261.16 | yes | 6144 | |
43.29 | odd | 42 | inner | 731.2.bm.a.717.16 | yes | 6144 | |
731.244 | even | 336 | inner | 731.2.bm.a.244.16 | yes | 6144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.bm.a.3.16 | ✓ | 6144 | 1.1 | even | 1 | trivial | |
731.2.bm.a.244.16 | yes | 6144 | 731.244 | even | 336 | inner | |
731.2.bm.a.261.16 | yes | 6144 | 17.6 | odd | 16 | inner | |
731.2.bm.a.717.16 | yes | 6144 | 43.29 | odd | 42 | inner |