Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(35,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.k (of order \(7\), degree \(6\), 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: | \(180\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 35.6 | ||
Character | \(\chi\) | \(=\) | 731.35 |
Dual form | 731.2.k.a.188.6 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.455706 | + | 1.99658i | −0.322233 | + | 1.41179i | 0.511337 | + | 0.859381i | \(0.329151\pi\) |
−0.833570 | + | 0.552414i | \(0.813707\pi\) | |||||||
\(3\) | −0.326366 | − | 1.42990i | −0.188428 | − | 0.825555i | −0.977446 | − | 0.211186i | \(-0.932268\pi\) |
0.789018 | − | 0.614370i | \(-0.210590\pi\) | |||||||
\(4\) | −1.97672 | − | 0.951940i | −0.988362 | − | 0.475970i | ||||
\(5\) | 1.20644 | − | 1.51282i | 0.539535 | − | 0.676556i | −0.435093 | − | 0.900385i | \(-0.643285\pi\) |
0.974628 | + | 0.223830i | \(0.0718560\pi\) | |||||||
\(6\) | 3.00364 | 1.22623 | ||||||||
\(7\) | 3.96037 | 1.49688 | 0.748440 | − | 0.663202i | \(-0.230803\pi\) | ||||
0.748440 | + | 0.663202i | \(0.230803\pi\) | |||||||
\(8\) | 0.247708 | − | 0.310617i | 0.0875782 | − | 0.109820i | ||||
\(9\) | 0.764797 | − | 0.368307i | 0.254932 | − | 0.122769i | ||||
\(10\) | 2.47069 | + | 3.09815i | 0.781302 | + | 0.979721i | ||||
\(11\) | −3.98195 | + | 1.91761i | −1.20060 | + | 0.578181i | −0.923848 | − | 0.382759i | \(-0.874974\pi\) |
−0.276756 | + | 0.960940i | \(0.589260\pi\) | |||||||
\(12\) | −0.716047 | + | 3.13721i | −0.206705 | + | 0.905633i | ||||
\(13\) | 3.59697 | − | 4.51046i | 0.997620 | − | 1.25098i | 0.0297411 | − | 0.999558i | \(-0.490532\pi\) |
0.967879 | − | 0.251418i | \(-0.0808968\pi\) | |||||||
\(14\) | −1.80477 | + | 7.90720i | −0.482344 | + | 2.11329i | ||||
\(15\) | −2.55693 | − | 1.23135i | −0.660197 | − | 0.317934i | ||||
\(16\) | −2.22858 | − | 2.79455i | −0.557146 | − | 0.698638i | ||||
\(17\) | 0.623490 | + | 0.781831i | 0.151218 | + | 0.189622i | ||||
\(18\) | 0.386831 | + | 1.69482i | 0.0911770 | + | 0.399472i | ||||
\(19\) | −7.14305 | − | 3.43991i | −1.63873 | − | 0.789170i | −0.999802 | − | 0.0199025i | \(-0.993664\pi\) |
−0.638927 | − | 0.769268i | \(-0.720621\pi\) | |||||||
\(20\) | −3.82491 | + | 1.84198i | −0.855276 | + | 0.411879i | ||||
\(21\) | −1.29253 | − | 5.66295i | −0.282054 | − | 1.23576i | ||||
\(22\) | −2.01406 | − | 8.82416i | −0.429398 | − | 1.88132i | ||||
\(23\) | 8.22417 | − | 3.96055i | 1.71486 | − | 0.825832i | 0.724180 | − | 0.689611i | \(-0.242219\pi\) |
0.990678 | − | 0.136221i | \(-0.0434957\pi\) | |||||||
\(24\) | −0.524995 | − | 0.252824i | −0.107164 | − | 0.0516076i | ||||
\(25\) | 0.279458 | + | 1.22438i | 0.0558916 | + | 0.244877i | ||||
\(26\) | 7.36632 | + | 9.23708i | 1.44465 | + | 1.81154i | ||||
\(27\) | −3.51962 | − | 4.41346i | −0.677351 | − | 0.849372i | ||||
\(28\) | −7.82856 | − | 3.77004i | −1.47946 | − | 0.712470i | ||||
\(29\) | −1.43808 | + | 6.30065i | −0.267045 | + | 1.17000i | 0.646387 | + | 0.763010i | \(0.276279\pi\) |
−0.913432 | + | 0.406992i | \(0.866578\pi\) | |||||||
\(30\) | 3.62371 | − | 4.54398i | 0.661595 | − | 0.829614i | ||||
\(31\) | 0.940181 | − | 4.11920i | 0.168862 | − | 0.739831i | −0.817593 | − | 0.575796i | \(-0.804692\pi\) |
0.986455 | − | 0.164034i | \(-0.0524508\pi\) | |||||||
\(32\) | 7.31103 | − | 3.52080i | 1.29242 | − | 0.622396i | ||||
\(33\) | 4.04157 | + | 5.06797i | 0.703547 | + | 0.882220i | ||||
\(34\) | −1.84512 | + | 0.888561i | −0.316435 | + | 0.152387i | ||||
\(35\) | 4.77794 | − | 5.99135i | 0.807619 | − | 1.01272i | ||||
\(36\) | −1.86240 | −0.310400 | ||||||||
\(37\) | −5.14400 | −0.845669 | −0.422835 | − | 0.906207i | \(-0.638965\pi\) | ||||
−0.422835 | + | 0.906207i | \(0.638965\pi\) | |||||||
\(38\) | 10.1232 | − | 12.6941i | 1.64220 | − | 2.05925i | ||||
\(39\) | −7.62345 | − | 3.67126i | −1.22073 | − | 0.587872i | ||||
\(40\) | −0.171064 | − | 0.749479i | −0.0270475 | − | 0.118503i | ||||
\(41\) | 0.534035 | − | 2.33976i | 0.0834022 | − | 0.365409i | −0.915954 | − | 0.401283i | \(-0.868564\pi\) |
0.999356 | + | 0.0358740i | \(0.0114215\pi\) | |||||||
\(42\) | 11.8955 | 1.83552 | ||||||||
\(43\) | 6.38922 | − | 1.47575i | 0.974347 | − | 0.225049i | ||||
\(44\) | 9.69667 | 1.46183 | ||||||||
\(45\) | 0.365496 | − | 1.60134i | 0.0544849 | − | 0.238714i | ||||
\(46\) | 4.15975 | + | 18.2251i | 0.613322 | + | 2.68714i | ||||
\(47\) | 3.65600 | + | 1.76064i | 0.533283 | + | 0.256816i | 0.681089 | − | 0.732201i | \(-0.261507\pi\) |
−0.147806 | + | 0.989016i | \(0.547221\pi\) | |||||||
\(48\) | −3.26861 | + | 4.09871i | −0.471783 | + | 0.591597i | ||||
\(49\) | 8.68455 | 1.24065 | ||||||||
\(50\) | −2.57193 | −0.363726 | ||||||||
\(51\) | 0.914458 | − | 1.14669i | 0.128050 | − | 0.160569i | ||||
\(52\) | −11.4039 | + | 5.49183i | −1.58144 | + | 0.761580i | ||||
\(53\) | 5.20008 | + | 6.52070i | 0.714286 | + | 0.895687i | 0.997999 | − | 0.0632223i | \(-0.0201377\pi\) |
−0.283713 | + | 0.958909i | \(0.591566\pi\) | |||||||
\(54\) | 10.4157 | − | 5.01596i | 1.41740 | − | 0.682586i | ||||
\(55\) | −1.90297 | + | 8.33747i | −0.256597 | + | 1.12422i | ||||
\(56\) | 0.981018 | − | 1.23016i | 0.131094 | − | 0.164387i | ||||
\(57\) | −2.58749 | + | 11.3365i | −0.342722 | + | 1.50156i | ||||
\(58\) | −11.9244 | − | 5.74249i | −1.56575 | − | 0.754026i | ||||
\(59\) | 2.55905 | + | 3.20895i | 0.333160 | + | 0.417769i | 0.919991 | − | 0.391940i | \(-0.128196\pi\) |
−0.586831 | + | 0.809710i | \(0.699625\pi\) | |||||||
\(60\) | 3.88218 | + | 4.86809i | 0.501187 | + | 0.628468i | ||||
\(61\) | 0.967360 | + | 4.23828i | 0.123858 | + | 0.542656i | 0.998340 | + | 0.0575983i | \(0.0183443\pi\) |
−0.874482 | + | 0.485058i | \(0.838799\pi\) | |||||||
\(62\) | 7.79587 | + | 3.75429i | 0.990076 | + | 0.476796i | ||||
\(63\) | 3.02888 | − | 1.45863i | 0.381603 | − | 0.183770i | ||||
\(64\) | 2.10714 | + | 9.23199i | 0.263393 | + | 1.15400i | ||||
\(65\) | −2.48401 | − | 10.8832i | −0.308104 | − | 1.34989i | ||||
\(66\) | −11.9604 | + | 5.75981i | −1.47222 | + | 0.708984i | ||||
\(67\) | 0.569233 | + | 0.274128i | 0.0695428 | + | 0.0334901i | 0.468332 | − | 0.883553i | \(-0.344855\pi\) |
−0.398789 | + | 0.917043i | \(0.630569\pi\) | |||||||
\(68\) | −0.488210 | − | 2.13899i | −0.0592042 | − | 0.259391i | ||||
\(69\) | −8.34730 | − | 10.4672i | −1.00490 | − | 1.26010i | ||||
\(70\) | 9.78487 | + | 12.2698i | 1.16952 | + | 1.46653i | ||||
\(71\) | −3.09044 | − | 1.48828i | −0.366768 | − | 0.176626i | 0.241417 | − | 0.970421i | \(-0.422388\pi\) |
−0.608185 | + | 0.793795i | \(0.708102\pi\) | |||||||
\(72\) | 0.0750445 | − | 0.328791i | 0.00884408 | − | 0.0387484i | ||||
\(73\) | 6.33585 | − | 7.94491i | 0.741556 | − | 0.929881i | −0.257785 | − | 0.966202i | \(-0.582992\pi\) |
0.999340 | + | 0.0363211i | \(0.0115639\pi\) | |||||||
\(74\) | 2.34415 | − | 10.2704i | 0.272502 | − | 1.19391i | ||||
\(75\) | 1.65955 | − | 0.799196i | 0.191628 | − | 0.0922832i | ||||
\(76\) | 10.8453 | + | 13.5995i | 1.24404 | + | 1.55997i | ||||
\(77\) | −15.7700 | + | 7.59444i | −1.79716 | + | 0.865467i | ||||
\(78\) | 10.8040 | − | 13.5478i | 1.22331 | − | 1.53399i | ||||
\(79\) | −5.38735 | −0.606124 | −0.303062 | − | 0.952971i | \(-0.598009\pi\) | ||||
−0.303062 | + | 0.952971i | \(0.598009\pi\) | |||||||
\(80\) | −6.91631 | −0.773267 | ||||||||
\(81\) | −3.57438 | + | 4.48212i | −0.397153 | + | 0.498014i | ||||
\(82\) | 4.42815 | + | 2.13249i | 0.489008 | + | 0.235494i | ||||
\(83\) | −3.45826 | − | 15.1516i | −0.379593 | − | 1.66311i | −0.698721 | − | 0.715394i | \(-0.746247\pi\) |
0.319128 | − | 0.947711i | \(-0.396610\pi\) | |||||||
\(84\) | −2.83581 | + | 12.4245i | −0.309412 | + | 1.35562i | ||||
\(85\) | 1.93497 | 0.209877 | ||||||||
\(86\) | 0.0348369 | + | 13.4291i | 0.00375656 | + | 1.44810i | ||||
\(87\) | 9.47867 | 1.01622 | ||||||||
\(88\) | −0.390723 | + | 1.71187i | −0.0416512 | + | 0.182486i | ||||
\(89\) | 1.31043 | + | 5.74137i | 0.138905 | + | 0.608584i | 0.995677 | + | 0.0928875i | \(0.0296097\pi\) |
−0.856771 | + | 0.515697i | \(0.827533\pi\) | |||||||
\(90\) | 3.03065 | + | 1.45948i | 0.319459 | + | 0.153843i | ||||
\(91\) | 14.2453 | − | 17.8631i | 1.49332 | − | 1.87256i | ||||
\(92\) | −20.0271 | −2.08797 | ||||||||
\(93\) | −6.19691 | −0.642589 | ||||||||
\(94\) | −5.18132 | + | 6.49717i | −0.534412 | + | 0.670132i | ||||
\(95\) | −13.8216 | + | 6.65614i | −1.41807 | + | 0.682906i | ||||
\(96\) | −7.42048 | − | 9.30499i | −0.757350 | − | 0.949687i | ||||
\(97\) | −10.6693 | + | 5.13807i | −1.08330 | + | 0.521692i | −0.888372 | − | 0.459125i | \(-0.848163\pi\) |
−0.194932 | + | 0.980817i | \(0.562449\pi\) | |||||||
\(98\) | −3.95761 | + | 17.3394i | −0.399779 | + | 1.75154i | ||||
\(99\) | −2.33912 | + | 2.93316i | −0.235090 | + | 0.294794i | ||||
\(100\) | 0.613130 | − | 2.68630i | 0.0613130 | − | 0.268630i | ||||
\(101\) | 7.90933 | + | 3.80893i | 0.787008 | + | 0.379003i | 0.783817 | − | 0.620992i | \(-0.213270\pi\) |
0.00319106 | + | 0.999995i | \(0.498984\pi\) | |||||||
\(102\) | 1.87274 | + | 2.34834i | 0.185429 | + | 0.232521i | ||||
\(103\) | −0.436928 | − | 0.547891i | −0.0430518 | − | 0.0539853i | 0.759839 | − | 0.650111i | \(-0.225278\pi\) |
−0.802891 | + | 0.596125i | \(0.796706\pi\) | |||||||
\(104\) | −0.510023 | − | 2.23456i | −0.0500119 | − | 0.219116i | ||||
\(105\) | −10.1264 | − | 4.87662i | −0.988236 | − | 0.475910i | ||||
\(106\) | −15.3888 | + | 7.41086i | −1.49469 | + | 0.719806i | ||||
\(107\) | 0.492891 | + | 2.15950i | 0.0476495 | + | 0.208766i | 0.993149 | − | 0.116859i | \(-0.0372825\pi\) |
−0.945499 | + | 0.325625i | \(0.894425\pi\) | |||||||
\(108\) | 2.75596 | + | 12.0747i | 0.265193 | + | 1.16189i | ||||
\(109\) | 0.327914 | − | 0.157915i | 0.0314084 | − | 0.0151255i | −0.418114 | − | 0.908395i | \(-0.637309\pi\) |
0.449522 | + | 0.893269i | \(0.351594\pi\) | |||||||
\(110\) | −15.7792 | − | 7.59888i | −1.50449 | − | 0.724524i | ||||
\(111\) | 1.67883 | + | 7.35543i | 0.159347 | + | 0.698147i | ||||
\(112\) | −8.82602 | − | 11.0675i | −0.833980 | − | 1.04578i | ||||
\(113\) | 10.3243 | + | 12.9463i | 0.971228 | + | 1.21788i | 0.975973 | + | 0.217892i | \(0.0699182\pi\) |
−0.00474506 | + | 0.999989i | \(0.501510\pi\) | |||||||
\(114\) | −21.4552 | − | 10.3323i | −2.00946 | − | 0.967706i | ||||
\(115\) | 3.93033 | − | 17.2199i | 0.366505 | − | 1.60576i | ||||
\(116\) | 8.84053 | − | 11.0857i | 0.820823 | − | 1.02928i | ||||
\(117\) | 1.08972 | − | 4.77437i | 0.100745 | − | 0.441391i | ||||
\(118\) | −7.57309 | + | 3.64701i | −0.697160 | + | 0.335734i | ||||
\(119\) | 2.46925 | + | 3.09634i | 0.226356 | + | 0.283841i | ||||
\(120\) | −1.01585 | + | 0.489209i | −0.0927343 | + | 0.0446585i | ||||
\(121\) | 5.32035 | − | 6.67151i | 0.483669 | − | 0.606501i | ||||
\(122\) | −8.90289 | −0.806030 | ||||||||
\(123\) | −3.51992 | −0.317381 | ||||||||
\(124\) | −5.77971 | + | 7.24753i | −0.519034 | + | 0.650848i | ||||
\(125\) | 10.9062 | + | 5.25214i | 0.975479 | + | 0.469766i | ||||
\(126\) | 1.53200 | + | 6.71211i | 0.136481 | + | 0.597963i | ||||
\(127\) | −2.80651 | + | 12.2961i | −0.249037 | + | 1.09110i | 0.683477 | + | 0.729972i | \(0.260467\pi\) |
−0.932515 | + | 0.361132i | \(0.882390\pi\) | |||||||
\(128\) | −3.16340 | −0.279607 | ||||||||
\(129\) | −4.19540 | − | 8.65434i | −0.369385 | − | 0.761972i | ||||
\(130\) | 22.8611 | 2.00505 | ||||||||
\(131\) | 3.07800 | − | 13.4856i | 0.268926 | − | 1.17824i | −0.642338 | − | 0.766422i | \(-0.722035\pi\) |
0.911264 | − | 0.411822i | \(-0.135108\pi\) | |||||||
\(132\) | −3.16467 | − | 13.8653i | −0.275449 | − | 1.20682i | ||||
\(133\) | −28.2892 | − | 13.6233i | −2.45298 | − | 1.18129i | ||||
\(134\) | −0.806721 | + | 1.01160i | −0.0696901 | + | 0.0873886i | ||||
\(135\) | −10.9230 | −0.940102 | ||||||||
\(136\) | 0.397294 | 0.0340676 | ||||||||
\(137\) | −2.34703 | + | 2.94308i | −0.200520 | + | 0.251445i | −0.871917 | − | 0.489654i | \(-0.837123\pi\) |
0.671397 | + | 0.741098i | \(0.265695\pi\) | |||||||
\(138\) | 24.7025 | − | 11.8961i | 2.10281 | − | 1.01266i | ||||
\(139\) | −1.68604 | − | 2.11423i | −0.143008 | − | 0.179327i | 0.705169 | − | 0.709039i | \(-0.250871\pi\) |
−0.848177 | + | 0.529713i | \(0.822300\pi\) | |||||||
\(140\) | −15.1481 | + | 7.29493i | −1.28025 | + | 0.616534i | ||||
\(141\) | 1.32435 | − | 5.80235i | 0.111530 | − | 0.488646i | ||||
\(142\) | 4.37980 | − | 5.49210i | 0.367545 | − | 0.460886i | ||||
\(143\) | −5.67368 | + | 24.8580i | −0.474457 | + | 2.07873i | ||||
\(144\) | −2.73367 | − | 1.31646i | −0.227806 | − | 0.109705i | ||||
\(145\) | 7.79682 | + | 9.77691i | 0.647491 | + | 0.811928i | ||||
\(146\) | 12.9754 | + | 16.2706i | 1.07385 | + | 1.34656i | ||||
\(147\) | −2.83434 | − | 12.4181i | −0.233773 | − | 1.02423i | ||||
\(148\) | 10.1683 | + | 4.89678i | 0.835827 | + | 0.402513i | ||||
\(149\) | −21.6567 | + | 10.4293i | −1.77418 | + | 0.854402i | −0.811235 | + | 0.584720i | \(0.801204\pi\) |
−0.962949 | + | 0.269683i | \(0.913081\pi\) | |||||||
\(150\) | 0.839392 | + | 3.67762i | 0.0685361 | + | 0.300276i | ||||
\(151\) | 2.53255 | + | 11.0958i | 0.206096 | + | 0.902966i | 0.967136 | + | 0.254261i | \(0.0818321\pi\) |
−0.761040 | + | 0.648705i | \(0.775311\pi\) | |||||||
\(152\) | −2.83789 | + | 1.36666i | −0.230183 | + | 0.110850i | ||||
\(153\) | 0.764797 | + | 0.368307i | 0.0618302 | + | 0.0297759i | ||||
\(154\) | −7.97641 | − | 34.9469i | −0.642758 | − | 2.81611i | ||||
\(155\) | −5.09736 | − | 6.39189i | −0.409430 | − | 0.513409i | ||||
\(156\) | 11.5746 | + | 14.5141i | 0.926712 | + | 1.16206i | ||||
\(157\) | 15.2769 | + | 7.35698i | 1.21923 | + | 0.587151i | 0.929097 | − | 0.369836i | \(-0.120586\pi\) |
0.290134 | + | 0.956986i | \(0.406300\pi\) | |||||||
\(158\) | 2.45505 | − | 10.7563i | 0.195313 | − | 0.855723i | ||||
\(159\) | 7.62684 | − | 9.56375i | 0.604848 | − | 0.758455i | ||||
\(160\) | 3.49393 | − | 15.3079i | 0.276220 | − | 1.21020i | ||||
\(161\) | 32.5708 | − | 15.6853i | 2.56694 | − | 1.23617i | ||||
\(162\) | −7.32005 | − | 9.17906i | −0.575118 | − | 0.721175i | ||||
\(163\) | −6.92557 | + | 3.33518i | −0.542452 | + | 0.261231i | −0.684983 | − | 0.728559i | \(-0.740190\pi\) |
0.142531 | + | 0.989790i | \(0.454476\pi\) | |||||||
\(164\) | −3.28295 | + | 4.11669i | −0.256355 | + | 0.321459i | ||||
\(165\) | 12.5428 | 0.976459 | ||||||||
\(166\) | 31.8273 | 2.47028 | ||||||||
\(167\) | −10.0347 | + | 12.5832i | −0.776512 | + | 0.973715i | −1.00000 | 0.000991906i | \(-0.999684\pi\) | |
0.223488 | + | 0.974707i | \(0.428256\pi\) | |||||||
\(168\) | −2.07918 | − | 1.00128i | −0.160412 | − | 0.0772504i | ||||
\(169\) | −4.51326 | − | 19.7739i | −0.347174 | − | 1.52107i | ||||
\(170\) | −0.881780 | + | 3.86333i | −0.0676294 | + | 0.296304i | ||||
\(171\) | −6.72993 | −0.514651 | ||||||||
\(172\) | −14.0346 | − | 3.16501i | −1.07012 | − | 0.241330i | ||||
\(173\) | −13.1974 | −1.00338 | −0.501690 | − | 0.865048i | \(-0.667288\pi\) | ||||
−0.501690 | + | 0.865048i | \(0.667288\pi\) | |||||||
\(174\) | −4.31949 | + | 18.9249i | −0.327459 | + | 1.43469i | ||||
\(175\) | 1.10676 | + | 4.84902i | 0.0836630 | + | 0.366552i | ||||
\(176\) | 14.2330 | + | 6.85424i | 1.07285 | + | 0.516658i | ||||
\(177\) | 3.75330 | − | 4.70649i | 0.282115 | − | 0.353761i | ||||
\(178\) | −12.0603 | −0.903956 | ||||||||
\(179\) | −7.67669 | −0.573783 | −0.286891 | − | 0.957963i | \(-0.592622\pi\) | ||||
−0.286891 | + | 0.957963i | \(0.592622\pi\) | |||||||
\(180\) | −2.24687 | + | 2.81748i | −0.167472 | + | 0.210003i | ||||
\(181\) | 15.0698 | − | 7.25725i | 1.12013 | − | 0.539427i | 0.220199 | − | 0.975455i | \(-0.429329\pi\) |
0.899933 | + | 0.436028i | \(0.143615\pi\) | |||||||
\(182\) | 29.1734 | + | 36.5823i | 2.16248 | + | 2.71166i | ||||
\(183\) | 5.74462 | − | 2.76646i | 0.424654 | − | 0.204503i | ||||
\(184\) | 0.806984 | − | 3.53563i | 0.0594916 | − | 0.260650i | ||||
\(185\) | −6.20592 | + | 7.78197i | −0.456268 | + | 0.572142i | ||||
\(186\) | 2.82397 | − | 12.3726i | 0.207063 | − | 0.907204i | ||||
\(187\) | −3.98195 | − | 1.91761i | −0.291189 | − | 0.140229i | ||||
\(188\) | −5.55089 | − | 6.96059i | −0.404840 | − | 0.507653i | ||||
\(189\) | −13.9390 | − | 17.4790i | −1.01391 | − | 1.27141i | ||||
\(190\) | −6.99092 | − | 30.6292i | −0.507175 | − | 2.22208i | ||||
\(191\) | −18.9334 | − | 9.11785i | −1.36997 | − | 0.659745i | −0.403137 | − | 0.915140i | \(-0.632080\pi\) |
−0.966837 | + | 0.255395i | \(0.917795\pi\) | |||||||
\(192\) | 12.5132 | − | 6.02602i | 0.903060 | − | 0.434891i | ||||
\(193\) | −1.45120 | − | 6.35811i | −0.104459 | − | 0.457667i | −0.999922 | − | 0.0125290i | \(-0.996012\pi\) |
0.895462 | − | 0.445138i | \(-0.146845\pi\) | |||||||
\(194\) | −5.39649 | − | 23.6436i | −0.387445 | − | 1.69751i | ||||
\(195\) | −14.7512 | + | 7.10379i | −1.05635 | + | 0.508713i | ||||
\(196\) | −17.1670 | − | 8.26718i | −1.22621 | − | 0.590513i | ||||
\(197\) | −0.371986 | − | 1.62978i | −0.0265029 | − | 0.116117i | 0.959946 | − | 0.280184i | \(-0.0903956\pi\) |
−0.986449 | + | 0.164068i | \(0.947538\pi\) | |||||||
\(198\) | −4.79034 | − | 6.00690i | −0.340435 | − | 0.426892i | ||||
\(199\) | 3.77864 | + | 4.73826i | 0.267861 | + | 0.335887i | 0.897511 | − | 0.440992i | \(-0.145373\pi\) |
−0.629650 | + | 0.776879i | \(0.716802\pi\) | |||||||
\(200\) | 0.449538 | + | 0.216486i | 0.0317872 | + | 0.0153079i | ||||
\(201\) | 0.206198 | − | 0.903414i | 0.0145441 | − | 0.0637219i | ||||
\(202\) | −11.2092 | + | 14.0559i | −0.788675 | + | 0.988967i | ||||
\(203\) | −5.69534 | + | 24.9529i | −0.399735 | + | 1.75135i | ||||
\(204\) | −2.89921 | + | 1.39619i | −0.202986 | + | 0.0977527i | ||||
\(205\) | −2.89537 | − | 3.63067i | −0.202221 | − | 0.253577i | ||||
\(206\) | 1.29302 | − | 0.622685i | 0.0900889 | − | 0.0433845i | ||||
\(207\) | 4.83112 | − | 6.05804i | 0.335786 | − | 0.421063i | ||||
\(208\) | −20.6209 | −1.42980 | ||||||||
\(209\) | 35.0397 | 2.42375 | ||||||||
\(210\) | 14.3512 | − | 17.9959i | 0.990329 | − | 1.24183i | ||||
\(211\) | −2.69582 | − | 1.29824i | −0.185588 | − | 0.0893746i | 0.338782 | − | 0.940865i | \(-0.389985\pi\) |
−0.524370 | + | 0.851490i | \(0.675699\pi\) | |||||||
\(212\) | −4.07182 | − | 17.8398i | −0.279653 | − | 1.22524i | ||||
\(213\) | −1.11948 | + | 4.90476i | −0.0767054 | + | 0.336068i | ||||
\(214\) | −4.53622 | −0.310089 | ||||||||
\(215\) | 5.47565 | − | 11.4462i | 0.373436 | − | 0.780622i | ||||
\(216\) | −2.24274 | −0.152599 | ||||||||
\(217\) | 3.72347 | − | 16.3136i | 0.252765 | − | 1.10744i | ||||
\(218\) | 0.165857 | + | 0.726669i | 0.0112333 | + | 0.0492162i | ||||
\(219\) | −13.4283 | − | 6.46671i | −0.907398 | − | 0.436980i | ||||
\(220\) | 11.6984 | − | 14.6694i | 0.788708 | − | 0.989008i | ||||
\(221\) | 5.76909 | 0.388071 | ||||||||
\(222\) | −15.4508 | −1.03699 | ||||||||
\(223\) | 3.97683 | − | 4.98679i | 0.266308 | − | 0.333940i | −0.630640 | − | 0.776075i | \(-0.717208\pi\) |
0.896948 | + | 0.442136i | \(0.145779\pi\) | |||||||
\(224\) | 28.9544 | − | 13.9437i | 1.93460 | − | 0.931653i | ||||
\(225\) | 0.664678 | + | 0.833480i | 0.0443119 | + | 0.0555653i | ||||
\(226\) | −30.5531 | + | 14.7136i | −2.03236 | + | 0.978733i | ||||
\(227\) | −1.05162 | + | 4.60746i | −0.0697986 | + | 0.305808i | −0.997762 | − | 0.0668633i | \(-0.978701\pi\) |
0.927964 | + | 0.372671i | \(0.121558\pi\) | |||||||
\(228\) | 15.9065 | − | 19.9461i | 1.05343 | − | 1.32096i | ||||
\(229\) | −0.209251 | + | 0.916788i | −0.0138277 | + | 0.0605831i | −0.981371 | − | 0.192122i | \(-0.938463\pi\) |
0.967543 | + | 0.252705i | \(0.0813202\pi\) | |||||||
\(230\) | 32.5898 | + | 15.6944i | 2.14891 | + | 1.03486i | ||||
\(231\) | 16.0061 | + | 20.0710i | 1.05313 | + | 1.32058i | ||||
\(232\) | 1.60086 | + | 2.00742i | 0.105102 | + | 0.131793i | ||||
\(233\) | 0.548508 | + | 2.40317i | 0.0359339 | + | 0.157437i | 0.989712 | − | 0.143076i | \(-0.0456993\pi\) |
−0.953778 | + | 0.300513i | \(0.902842\pi\) | |||||||
\(234\) | 9.03582 | + | 4.35142i | 0.590690 | + | 0.284461i | ||||
\(235\) | 7.07428 | − | 3.40679i | 0.461475 | − | 0.222235i | ||||
\(236\) | −2.00381 | − | 8.77926i | −0.130437 | − | 0.571481i | ||||
\(237\) | 1.75825 | + | 7.70339i | 0.114211 | + | 0.500389i | ||||
\(238\) | −7.30735 | + | 3.51903i | −0.473665 | + | 0.228105i | ||||
\(239\) | 14.3635 | + | 6.91711i | 0.929099 | + | 0.447430i | 0.836311 | − | 0.548255i | \(-0.184708\pi\) |
0.0927879 | + | 0.995686i | \(0.470422\pi\) | |||||||
\(240\) | 2.25725 | + | 9.88966i | 0.145705 | + | 0.638375i | ||||
\(241\) | −1.53741 | − | 1.92786i | −0.0990335 | − | 0.124184i | 0.729845 | − | 0.683612i | \(-0.239592\pi\) |
−0.828879 | + | 0.559428i | \(0.811021\pi\) | |||||||
\(242\) | 10.8957 | + | 13.6628i | 0.700401 | + | 0.878276i | ||||
\(243\) | −7.68243 | − | 3.69967i | −0.492828 | − | 0.237334i | ||||
\(244\) | 2.12238 | − | 9.29878i | 0.135872 | − | 0.595293i | ||||
\(245\) | 10.4774 | − | 13.1382i | 0.669375 | − | 0.839369i | ||||
\(246\) | 1.60405 | − | 7.02780i | 0.102271 | − | 0.448076i | ||||
\(247\) | −41.2089 | + | 19.8452i | −2.62206 | + | 1.26272i | ||||
\(248\) | −1.04660 | − | 1.31240i | −0.0664593 | − | 0.0833373i | ||||
\(249\) | −20.5367 | + | 9.88995i | −1.30146 | + | 0.626750i | ||||
\(250\) | −15.4563 | + | 19.3816i | −0.977545 | + | 1.22580i | ||||
\(251\) | −19.7788 | −1.24843 | −0.624214 | − | 0.781254i | \(-0.714581\pi\) | ||||
−0.624214 | + | 0.781254i | \(0.714581\pi\) | |||||||
\(252\) | −7.37580 | −0.464631 | ||||||||
\(253\) | −25.1535 | + | 31.5415i | −1.58139 | + | 1.98300i | ||||
\(254\) | −23.2712 | − | 11.2068i | −1.46017 | − | 0.703179i | ||||
\(255\) | −0.631510 | − | 2.76683i | −0.0395467 | − | 0.173265i | ||||
\(256\) | −2.77271 | + | 12.1480i | −0.173294 | + | 0.759251i | ||||
\(257\) | −18.5575 | −1.15758 | −0.578791 | − | 0.815476i | \(-0.696475\pi\) | ||||
−0.578791 | + | 0.815476i | \(0.696475\pi\) | |||||||
\(258\) | 19.1909 | − | 4.43262i | 1.19478 | − | 0.275963i | ||||
\(259\) | −20.3722 | −1.26587 | ||||||||
\(260\) | −5.44992 | + | 23.8776i | −0.337989 | + | 1.48083i | ||||
\(261\) | 1.22073 | + | 5.34838i | 0.0755614 | + | 0.331056i | ||||
\(262\) | 25.5224 | + | 12.2910i | 1.57678 | + | 0.759338i | ||||
\(263\) | −5.09210 | + | 6.38529i | −0.313992 | + | 0.393734i | −0.913636 | − | 0.406533i | \(-0.866738\pi\) |
0.599644 | + | 0.800267i | \(0.295309\pi\) | |||||||
\(264\) | 2.57533 | 0.158500 | ||||||||
\(265\) | 16.1382 | 0.991365 | ||||||||
\(266\) | 40.0916 | − | 50.2733i | 2.45818 | − | 3.08245i | ||||
\(267\) | 7.78193 | − | 3.74758i | 0.476246 | − | 0.229348i | ||||
\(268\) | −0.864262 | − | 1.08375i | −0.0527932 | − | 0.0662006i | ||||
\(269\) | −13.2231 | + | 6.36789i | −0.806224 | + | 0.388257i | −0.791144 | − | 0.611629i | \(-0.790514\pi\) |
−0.0150794 | + | 0.999886i | \(0.504800\pi\) | |||||||
\(270\) | 4.97768 | − | 21.8086i | 0.302932 | − | 1.32723i | ||||
\(271\) | −15.0959 | + | 18.9297i | −0.917011 | + | 1.14990i | 0.0713013 | + | 0.997455i | \(0.477285\pi\) |
−0.988313 | + | 0.152441i | \(0.951287\pi\) | |||||||
\(272\) | 0.795372 | − | 3.48475i | 0.0482265 | − | 0.211294i | ||||
\(273\) | −30.1917 | − | 14.5396i | −1.82728 | − | 0.879974i | ||||
\(274\) | −4.80654 | − | 6.02722i | −0.290374 | − | 0.364117i | ||||
\(275\) | −3.46068 | − | 4.33955i | −0.208687 | − | 0.261685i | ||||
\(276\) | 6.53618 | + | 28.6369i | 0.393432 | + | 1.72374i | ||||
\(277\) | −6.40557 | − | 3.08476i | −0.384873 | − | 0.185345i | 0.231435 | − | 0.972850i | \(-0.425658\pi\) |
−0.616308 | + | 0.787505i | \(0.711372\pi\) | |||||||
\(278\) | 4.98957 | − | 2.40285i | 0.299255 | − | 0.144113i | ||||
\(279\) | −0.798083 | − | 3.49663i | −0.0477800 | − | 0.209338i | ||||
\(280\) | −0.677476 | − | 2.96822i | −0.0404869 | − | 0.177385i | ||||
\(281\) | 2.09584 | − | 1.00930i | 0.125027 | − | 0.0602099i | −0.370325 | − | 0.928902i | \(-0.620754\pi\) |
0.495352 | + | 0.868693i | \(0.335039\pi\) | |||||||
\(282\) | 10.9813 | + | 5.28833i | 0.653929 | + | 0.314915i | ||||
\(283\) | −0.559659 | − | 2.45203i | −0.0332683 | − | 0.145758i | 0.955566 | − | 0.294777i | \(-0.0952455\pi\) |
−0.988834 | + | 0.149019i | \(0.952388\pi\) | |||||||
\(284\) | 4.69220 | + | 5.88383i | 0.278431 | + | 0.349141i | ||||
\(285\) | 14.0286 | + | 17.5913i | 0.830980 | + | 1.04202i | ||||
\(286\) | −47.0455 | − | 22.6559i | −2.78186 | − | 1.33967i | ||||
\(287\) | 2.11498 | − | 9.26632i | 0.124843 | − | 0.546974i | ||||
\(288\) | 4.29472 | − | 5.38540i | 0.253069 | − | 0.317338i | ||||
\(289\) | −0.222521 | + | 0.974928i | −0.0130895 | + | 0.0573487i | ||||
\(290\) | −23.0734 | + | 11.1116i | −1.35492 | + | 0.652494i | ||||
\(291\) | 10.8290 | + | 13.5792i | 0.634810 | + | 0.796026i | ||||
\(292\) | −20.0873 | + | 9.67354i | −1.17552 | + | 0.566101i | ||||
\(293\) | −8.67796 | + | 10.8818i | −0.506972 | + | 0.635722i | −0.967786 | − | 0.251774i | \(-0.918986\pi\) |
0.460814 | + | 0.887497i | \(0.347557\pi\) | |||||||
\(294\) | 26.0853 | 1.52133 | ||||||||
\(295\) | 7.94191 | 0.462396 | ||||||||
\(296\) | −1.27421 | + | 1.59781i | −0.0740622 | + | 0.0928710i | ||||
\(297\) | 22.4783 | + | 10.8250i | 1.30432 | + | 0.628128i | ||||
\(298\) | −10.9539 | − | 47.9920i | −0.634540 | − | 2.78010i | ||||
\(299\) | 11.7182 | − | 51.3407i | 0.677680 | − | 2.96911i | ||||
\(300\) | −4.04125 | −0.233322 | ||||||||
\(301\) | 25.3037 | − | 5.84451i | 1.45848 | − | 0.336872i | ||||
\(302\) | −23.3078 | −1.34121 | ||||||||
\(303\) | 2.86507 | − | 12.5527i | 0.164594 | − | 0.721133i | ||||
\(304\) | 6.30586 | + | 27.6278i | 0.361666 | + | 1.58456i | ||||
\(305\) | 7.57883 | + | 3.64977i | 0.433963 | + | 0.208985i | ||||
\(306\) | −1.08388 | + | 1.35914i | −0.0619611 | + | 0.0776968i | ||||
\(307\) | 10.8839 | 0.621176 | 0.310588 | − | 0.950545i | \(-0.399474\pi\) | ||||
0.310588 | + | 0.950545i | \(0.399474\pi\) | |||||||
\(308\) | 38.4024 | 2.18818 | ||||||||
\(309\) | −0.640833 | + | 0.803579i | −0.0364557 | + | 0.0457140i | ||||
\(310\) | 15.0848 | − | 7.26446i | 0.856760 | − | 0.412594i | ||||
\(311\) | 15.8110 | + | 19.8263i | 0.896558 | + | 1.12425i | 0.991673 | + | 0.128781i | \(0.0411066\pi\) |
−0.0951154 | + | 0.995466i | \(0.530322\pi\) | |||||||
\(312\) | −3.02875 | + | 1.45857i | −0.171469 | + | 0.0825751i | ||||
\(313\) | −1.72989 | + | 7.57912i | −0.0977789 | + | 0.428397i | −0.999996 | − | 0.00288513i | \(-0.999082\pi\) |
0.902217 | + | 0.431283i | \(0.141939\pi\) | |||||||
\(314\) | −21.6506 | + | 27.1490i | −1.22181 | + | 1.53210i | ||||
\(315\) | 1.44750 | − | 6.34192i | 0.0815574 | − | 0.357326i | ||||
\(316\) | 10.6493 | + | 5.12843i | 0.599070 | + | 0.288497i | ||||
\(317\) | 8.72927 | + | 10.9462i | 0.490285 | + | 0.614797i | 0.964007 | − | 0.265877i | \(-0.0856614\pi\) |
−0.473722 | + | 0.880674i | \(0.657090\pi\) | |||||||
\(318\) | 15.6192 | + | 19.5859i | 0.875881 | + | 1.09832i | ||||
\(319\) | −6.35580 | − | 27.8466i | −0.355857 | − | 1.55911i | ||||
\(320\) | 16.5085 | + | 7.95008i | 0.922854 | + | 0.444423i | ||||
\(321\) | 2.92701 | − | 1.40957i | 0.163370 | − | 0.0786747i | ||||
\(322\) | 16.4742 | + | 72.1780i | 0.918069 | + | 4.02232i | ||||
\(323\) | −1.76419 | − | 7.72941i | −0.0981621 | − | 0.430076i | ||||
\(324\) | 11.3323 | − | 5.45733i | 0.629570 | − | 0.303185i | ||||
\(325\) | 6.52774 | + | 3.14359i | 0.362094 | + | 0.174375i | ||||
\(326\) | −3.50292 | − | 15.3473i | −0.194009 | − | 0.850009i | ||||
\(327\) | −0.332823 | − | 0.417347i | −0.0184052 | − | 0.0230793i | ||||
\(328\) | −0.594483 | − | 0.745458i | −0.0328248 | − | 0.0411611i | ||||
\(329\) | 14.4791 | + | 6.97279i | 0.798261 | + | 0.384422i | ||||
\(330\) | −5.71585 | + | 25.0428i | −0.314647 | + | 1.37856i | ||||
\(331\) | −8.25301 | + | 10.3489i | −0.453626 | + | 0.568829i | −0.955077 | − | 0.296357i | \(-0.904228\pi\) |
0.501451 | + | 0.865186i | \(0.332800\pi\) | |||||||
\(332\) | −7.58741 | + | 33.2426i | −0.416413 | + | 1.82443i | ||||
\(333\) | −3.93412 | + | 1.89457i | −0.215588 | + | 0.103822i | ||||
\(334\) | −20.5504 | − | 25.7694i | −1.12447 | − | 1.41004i | ||||
\(335\) | 1.10145 | − | 0.530431i | 0.0601787 | − | 0.0289805i | ||||
\(336\) | −12.9449 | + | 16.2324i | −0.706203 | + | 0.885550i | ||||
\(337\) | −3.22964 | −0.175930 | −0.0879648 | − | 0.996124i | \(-0.528036\pi\) | ||||
−0.0879648 | + | 0.996124i | \(0.528036\pi\) | |||||||
\(338\) | 41.5368 | 2.25931 | ||||||||
\(339\) | 15.1424 | − | 18.9880i | 0.822422 | − | 1.03128i | ||||
\(340\) | −3.82491 | − | 1.84198i | −0.207435 | − | 0.0998954i | ||||
\(341\) | 4.15526 | + | 18.2054i | 0.225020 | + | 0.985877i | ||||
\(342\) | 3.06687 | − | 13.4368i | 0.165837 | − | 0.726581i | ||||
\(343\) | 6.67146 | 0.360225 | ||||||||
\(344\) | 1.12427 | − | 2.35015i | 0.0606168 | − | 0.126712i | ||||
\(345\) | −25.9055 | −1.39471 | ||||||||
\(346\) | 6.01413 | − | 26.3496i | 0.323322 | − | 1.41657i | ||||
\(347\) | 4.80688 | + | 21.0603i | 0.258047 | + | 1.13058i | 0.923337 | + | 0.383992i | \(0.125451\pi\) |
−0.665290 | + | 0.746585i | \(0.731692\pi\) | |||||||
\(348\) | −18.7367 | − | 9.02312i | −1.00439 | − | 0.483690i | ||||
\(349\) | −10.9922 | + | 13.7837i | −0.588397 | + | 0.737826i | −0.983519 | − | 0.180802i | \(-0.942131\pi\) |
0.395123 | + | 0.918628i | \(0.370702\pi\) | |||||||
\(350\) | −10.1858 | −0.544455 | ||||||||
\(351\) | −32.5667 | −1.73828 | ||||||||
\(352\) | −22.3607 | + | 28.0394i | −1.19183 | + | 1.49450i | ||||
\(353\) | 26.7908 | − | 12.9017i | 1.42593 | − | 0.686691i | 0.447692 | − | 0.894188i | \(-0.352246\pi\) |
0.978236 | + | 0.207497i | \(0.0665318\pi\) | |||||||
\(354\) | 7.68647 | + | 9.63853i | 0.408531 | + | 0.512282i | ||||
\(355\) | −5.97993 | + | 2.87978i | −0.317382 | + | 0.152843i | ||||
\(356\) | 2.87508 | − | 12.5966i | 0.152379 | − | 0.667616i | ||||
\(357\) | 3.62159 | − | 4.54133i | 0.191675 | − | 0.240353i | ||||
\(358\) | 3.49832 | − | 15.3271i | 0.184892 | − | 0.810064i | ||||
\(359\) | −20.2613 | − | 9.75733i | −1.06935 | − | 0.514972i | −0.185454 | − | 0.982653i | \(-0.559375\pi\) |
−0.883897 | + | 0.467681i | \(0.845090\pi\) | |||||||
\(360\) | −0.406867 | − | 0.510195i | −0.0214438 | − | 0.0268897i | ||||
\(361\) | 27.3439 | + | 34.2882i | 1.43915 | + | 1.80464i | ||||
\(362\) | 7.62226 | + | 33.3953i | 0.400617 | + | 1.75522i | ||||
\(363\) | −11.2760 | − | 5.43024i | −0.591837 | − | 0.285014i | ||||
\(364\) | −45.1637 | + | 21.7497i | −2.36722 | + | 1.13999i | ||||
\(365\) | −4.37544 | − | 19.1701i | −0.229021 | − | 1.00341i | ||||
\(366\) | 2.90560 | + | 12.7303i | 0.151878 | + | 0.665422i | ||||
\(367\) | 20.5775 | − | 9.90959i | 1.07414 | − | 0.517276i | 0.188698 | − | 0.982035i | \(-0.439573\pi\) |
0.885437 | + | 0.464759i | \(0.153859\pi\) | |||||||
\(368\) | −29.3962 | − | 14.1565i | −1.53238 | − | 0.737957i | ||||
\(369\) | −0.453321 | − | 1.98613i | −0.0235990 | − | 0.103394i | ||||
\(370\) | −12.7093 | − | 15.9369i | −0.660723 | − | 0.828520i | ||||
\(371\) | 20.5943 | + | 25.8244i | 1.06920 | + | 1.34074i | ||||
\(372\) | 12.2496 | + | 5.89908i | 0.635111 | + | 0.305853i | ||||
\(373\) | −3.42429 | + | 15.0028i | −0.177303 | + | 0.776815i | 0.805566 | + | 0.592507i | \(0.201862\pi\) |
−0.982869 | + | 0.184308i | \(0.940996\pi\) | |||||||
\(374\) | 5.64326 | − | 7.07642i | 0.291806 | − | 0.365913i | ||||
\(375\) | 3.95065 | − | 17.3089i | 0.204011 | − | 0.893829i | ||||
\(376\) | 1.45251 | − | 0.699490i | 0.0749073 | − | 0.0360735i | ||||
\(377\) | 23.2461 | + | 29.1497i | 1.19723 | + | 1.50128i | ||||
\(378\) | 41.2502 | − | 19.8651i | 2.12168 | − | 1.02175i | ||||
\(379\) | 8.80883 | − | 11.0459i | 0.452479 | − | 0.567391i | −0.502305 | − | 0.864690i | \(-0.667515\pi\) |
0.954784 | + | 0.297300i | \(0.0960860\pi\) | |||||||
\(380\) | 33.6578 | 1.72661 | ||||||||
\(381\) | 18.4982 | 0.947692 | ||||||||
\(382\) | 26.8326 | − | 33.6470i | 1.37287 | − | 1.72153i | ||||
\(383\) | −3.49090 | − | 1.68113i | −0.178377 | − | 0.0859016i | 0.342564 | − | 0.939494i | \(-0.388705\pi\) |
−0.520941 | + | 0.853593i | \(0.674419\pi\) | |||||||
\(384\) | 1.03243 | + | 4.52335i | 0.0526857 | + | 0.230831i | ||||
\(385\) | −7.53649 | + | 33.0195i | −0.384095 | + | 1.68283i | ||||
\(386\) | 13.3558 | 0.679792 | ||||||||
\(387\) | 4.34293 | − | 3.48184i | 0.220764 | − | 0.176992i | ||||
\(388\) | 25.9814 | 1.31901 | ||||||||
\(389\) | 3.25732 | − | 14.2713i | 0.165153 | − | 0.723582i | −0.822737 | − | 0.568423i | \(-0.807554\pi\) |
0.987889 | − | 0.155159i | \(-0.0495890\pi\) | |||||||
\(390\) | −7.46108 | − | 32.6891i | −0.377807 | − | 1.65528i | ||||
\(391\) | 8.22417 | + | 3.96055i | 0.415914 | + | 0.200294i | ||||
\(392\) | 2.15124 | − | 2.69757i | 0.108654 | − | 0.136248i | ||||
\(393\) | −20.2877 | −1.02338 | ||||||||
\(394\) | 3.42350 | 0.172473 | ||||||||
\(395\) | −6.49950 | + | 8.15011i | −0.327025 | + | 0.410077i | ||||
\(396\) | 7.41599 | − | 3.57135i | 0.372667 | − | 0.179467i | ||||
\(397\) | 3.59379 | + | 4.50647i | 0.180367 | + | 0.226173i | 0.863793 | − | 0.503846i | \(-0.168082\pi\) |
−0.683426 | + | 0.730020i | \(0.739511\pi\) | |||||||
\(398\) | −11.1823 | + | 5.38510i | −0.560516 | + | 0.269930i | ||||
\(399\) | −10.2474 | + | 44.8970i | −0.513014 | + | 2.24766i | ||||
\(400\) | 2.79881 | − | 3.50960i | 0.139941 | − | 0.175480i | ||||
\(401\) | 2.80958 | − | 12.3096i | 0.140304 | − | 0.614711i | −0.855060 | − | 0.518529i | \(-0.826480\pi\) |
0.995364 | − | 0.0961817i | \(-0.0306630\pi\) | |||||||
\(402\) | 1.70977 | + | 0.823383i | 0.0852757 | + | 0.0410666i | ||||
\(403\) | −15.1977 | − | 19.0573i | −0.757051 | − | 0.949311i | ||||
\(404\) | −12.0087 | − | 15.0584i | −0.597455 | − | 0.749185i | ||||
\(405\) | 2.46841 | + | 10.8148i | 0.122656 | + | 0.537392i | ||||
\(406\) | −47.2251 | − | 22.7424i | −2.34374 | − | 1.12869i | ||||
\(407\) | 20.4832 | − | 9.86419i | 1.01531 | − | 0.488950i | ||||
\(408\) | −0.129663 | − | 0.568091i | −0.00641928 | − | 0.0281247i | ||||
\(409\) | 7.82317 | + | 34.2755i | 0.386831 | + | 1.69482i | 0.675477 | + | 0.737381i | \(0.263938\pi\) |
−0.288647 | + | 0.957436i | \(0.593205\pi\) | |||||||
\(410\) | 8.56836 | − | 4.12631i | 0.423161 | − | 0.203784i | ||||
\(411\) | 4.97432 | + | 2.39551i | 0.245365 | + | 0.118162i | ||||
\(412\) | 0.342128 | + | 1.49896i | 0.0168554 | + | 0.0738484i | ||||
\(413\) | 10.1348 | + | 12.7086i | 0.498700 | + | 0.625351i | ||||
\(414\) | 9.89378 | + | 12.4064i | 0.486253 | + | 0.609742i | ||||
\(415\) | −27.0939 | − | 13.0477i | −1.32999 | − | 0.640488i | ||||
\(416\) | 10.4171 | − | 45.6403i | 0.510740 | − | 2.23770i | ||||
\(417\) | −2.47288 | + | 3.10089i | −0.121097 | + | 0.151851i | ||||
\(418\) | −15.9678 | + | 69.9596i | −0.781012 | + | 3.42184i | ||||
\(419\) | 3.02503 | − | 1.45678i | 0.147782 | − | 0.0711682i | −0.358531 | − | 0.933518i | \(-0.616722\pi\) |
0.506313 | + | 0.862350i | \(0.331008\pi\) | |||||||
\(420\) | 15.3749 | + | 19.2795i | 0.750217 | + | 0.940742i | ||||
\(421\) | 34.2748 | − | 16.5059i | 1.67045 | − | 0.804448i | 0.672528 | − | 0.740072i | \(-0.265208\pi\) |
0.997926 | − | 0.0643764i | \(-0.0205058\pi\) | |||||||
\(422\) | 3.82054 | − | 4.79081i | 0.185981 | − | 0.233213i | ||||
\(423\) | 3.44456 | 0.167480 | ||||||||
\(424\) | 3.31354 | 0.160920 | ||||||||
\(425\) | −0.783024 | + | 0.981880i | −0.0379822 | + | 0.0476282i | ||||
\(426\) | −9.28259 | − | 4.47026i | −0.449743 | − | 0.216585i | ||||
\(427\) | 3.83110 | + | 16.7852i | 0.185400 | + | 0.812291i | ||||
\(428\) | 1.08140 | − | 4.73793i | 0.0522715 | − | 0.229016i | ||||
\(429\) | 37.3963 | 1.80551 | ||||||||
\(430\) | 20.3579 | + | 16.1487i | 0.981745 | + | 0.778758i | ||||
\(431\) | −19.5020 | −0.939379 | −0.469689 | − | 0.882832i | \(-0.655634\pi\) | ||||
−0.469689 | + | 0.882832i | \(0.655634\pi\) | |||||||
\(432\) | −4.48990 | + | 19.6715i | −0.216020 | + | 0.946447i | ||||
\(433\) | 2.23479 | + | 9.79125i | 0.107397 | + | 0.470538i | 0.999813 | + | 0.0193243i | \(0.00615149\pi\) |
−0.892416 | + | 0.451213i | \(0.850991\pi\) | |||||||
\(434\) | 30.8746 | + | 14.8684i | 1.48203 | + | 0.713706i | ||||
\(435\) | 11.4354 | − | 14.3396i | 0.548286 | − | 0.687529i | ||||
\(436\) | −0.798520 | −0.0382422 | ||||||||
\(437\) | −72.3696 | −3.46191 | ||||||||
\(438\) | 19.0306 | − | 23.8637i | 0.909319 | − | 1.14025i | ||||
\(439\) | −5.35122 | + | 2.57701i | −0.255400 | + | 0.122994i | −0.557203 | − | 0.830376i | \(-0.688126\pi\) |
0.301803 | + | 0.953370i | \(0.402411\pi\) | |||||||
\(440\) | 2.11837 | + | 2.65636i | 0.100990 | + | 0.126637i | ||||
\(441\) | 6.64192 | − | 3.19858i | 0.316282 | − | 0.152313i | ||||
\(442\) | −2.62901 | + | 11.5184i | −0.125049 | + | 0.547877i | ||||
\(443\) | 2.57766 | − | 3.23229i | 0.122469 | − | 0.153571i | −0.716817 | − | 0.697261i | \(-0.754402\pi\) |
0.839286 | + | 0.543690i | \(0.182973\pi\) | |||||||
\(444\) | 3.68335 | − | 16.1378i | 0.174804 | − | 0.765866i | ||||
\(445\) | 10.2666 | + | 4.94415i | 0.486685 | + | 0.234375i | ||||
\(446\) | 8.14425 | + | 10.2126i | 0.385641 | + | 0.483579i | ||||
\(447\) | 21.9809 | + | 27.5632i | 1.03966 | + | 1.30369i | ||||
\(448\) | 8.34507 | + | 36.5621i | 0.394268 | + | 1.72740i | ||||
\(449\) | −5.34205 | − | 2.57259i | −0.252107 | − | 0.121408i | 0.303563 | − | 0.952811i | \(-0.401824\pi\) |
−0.555670 | + | 0.831403i | \(0.687538\pi\) | |||||||
\(450\) | −1.96701 | + | 0.947261i | −0.0927256 | + | 0.0446543i | ||||
\(451\) | 2.36024 | + | 10.3409i | 0.111139 | + | 0.486933i | ||||
\(452\) | −8.08422 | − | 35.4193i | −0.380250 | − | 1.66598i | ||||
\(453\) | 15.0394 | − | 7.24261i | 0.706614 | − | 0.340287i | ||||
\(454\) | −8.71993 | − | 4.19930i | −0.409246 | − | 0.197083i | ||||
\(455\) | −9.83761 | − | 43.1014i | −0.461194 | − | 2.02062i | ||||
\(456\) | 2.88038 | + | 3.61188i | 0.134886 | + | 0.169142i | ||||
\(457\) | −20.9118 | − | 26.2226i | −0.978213 | − | 1.22664i | −0.973976 | − | 0.226649i | \(-0.927223\pi\) |
−0.00423647 | − | 0.999991i | \(-0.501349\pi\) | |||||||
\(458\) | −1.73508 | − | 0.835572i | −0.0810751 | − | 0.0390437i | ||||
\(459\) | 1.25614 | − | 5.50350i | 0.0586315 | − | 0.256881i | ||||
\(460\) | −24.1615 | + | 30.2975i | −1.12653 | + | 1.41263i | ||||
\(461\) | 1.69864 | − | 7.44221i | 0.0791134 | − | 0.346618i | −0.919843 | − | 0.392286i | \(-0.871684\pi\) |
0.998957 | + | 0.0456676i | \(0.0145415\pi\) | |||||||
\(462\) | −47.3675 | + | 22.8110i | −2.20374 | + | 1.06126i | ||||
\(463\) | 9.53784 | + | 11.9601i | 0.443261 | + | 0.555832i | 0.952399 | − | 0.304853i | \(-0.0986072\pi\) |
−0.509138 | + | 0.860685i | \(0.670036\pi\) | |||||||
\(464\) | 20.8124 | − | 10.0227i | 0.966191 | − | 0.465293i | ||||
\(465\) | −7.47618 | + | 9.37483i | −0.346699 | + | 0.434747i | ||||
\(466\) | −5.04808 | −0.233848 | ||||||||
\(467\) | −4.47020 | −0.206856 | −0.103428 | − | 0.994637i | \(-0.532981\pi\) | ||||
−0.103428 | + | 0.994637i | \(0.532981\pi\) | |||||||
\(468\) | −6.69899 | + | 8.40027i | −0.309661 | + | 0.388303i | ||||
\(469\) | 2.25437 | + | 1.08565i | 0.104097 | + | 0.0501306i | ||||
\(470\) | 3.57814 | + | 15.6768i | 0.165047 | + | 0.723119i | ||||
\(471\) | 5.53390 | − | 24.2456i | 0.254989 | − | 1.11718i | ||||
\(472\) | 1.63065 | 0.0750568 | ||||||||
\(473\) | −22.6117 | + | 18.1284i | −1.03969 | + | 0.833544i | ||||
\(474\) | −16.1817 | −0.743249 | ||||||||
\(475\) | 2.21560 | − | 9.70716i | 0.101658 | − | 0.445395i | ||||
\(476\) | −1.93350 | − | 8.47120i | −0.0886216 | − | 0.388277i | ||||
\(477\) | 6.37863 | + | 3.07179i | 0.292057 | + | 0.140647i | ||||
\(478\) | −20.3561 | + | 25.5257i | −0.931066 | + | 1.16752i | ||||
\(479\) | 37.1768 | 1.69865 | 0.849327 | − | 0.527868i | \(-0.177008\pi\) | ||||
0.849327 | + | 0.527868i | \(0.177008\pi\) | |||||||
\(480\) | −23.0292 | −1.05113 | ||||||||
\(481\) | −18.5028 | + | 23.2018i | −0.843656 | + | 1.05791i | ||||
\(482\) | 4.54973 | − | 2.19103i | 0.207234 | − | 0.0997988i | ||||
\(483\) | −33.0584 | − | 41.4539i | −1.50421 | − | 1.88622i | ||||
\(484\) | −16.8678 | + | 8.12308i | −0.766716 | + | 0.369231i | ||||
\(485\) | −5.09885 | + | 22.3395i | −0.231527 | + | 1.01439i | ||||
\(486\) | 10.8876 | − | 13.6526i | 0.493872 | − | 0.619296i | ||||
\(487\) | 9.17013 | − | 40.1770i | 0.415538 | − | 1.82059i | −0.141294 | − | 0.989968i | \(-0.545126\pi\) |
0.556832 | − | 0.830625i | \(-0.312017\pi\) | |||||||
\(488\) | 1.55610 | + | 0.749380i | 0.0704415 | + | 0.0339228i | ||||
\(489\) | 7.02925 | + | 8.81440i | 0.317874 | + | 0.398601i | ||||
\(490\) | 21.4569 | + | 26.9061i | 0.969323 | + | 1.21549i | ||||
\(491\) | 9.59233 | + | 42.0267i | 0.432896 | + | 1.89664i | 0.442662 | + | 0.896688i | \(0.354034\pi\) |
−0.00976659 | + | 0.999952i | \(0.503109\pi\) | |||||||
\(492\) | 6.95791 | + | 3.35075i | 0.313687 | + | 0.151064i | ||||
\(493\) | −5.82268 | + | 2.80405i | −0.262240 | + | 0.126288i | ||||
\(494\) | −20.8433 | − | 91.3204i | −0.937784 | − | 4.10870i | ||||
\(495\) | 1.61536 | + | 7.07735i | 0.0726050 | + | 0.318103i | ||||
\(496\) | −13.6066 | + | 6.55260i | −0.610955 | + | 0.294220i | ||||
\(497\) | −12.2393 | − | 5.89414i | −0.549008 | − | 0.264388i | ||||
\(498\) | −10.3874 | − | 45.5100i | −0.465469 | − | 2.03935i | ||||
\(499\) | −17.5508 | − | 22.0080i | −0.785681 | − | 0.985213i | −0.999964 | − | 0.00844135i | \(-0.997313\pi\) |
0.214283 | − | 0.976772i | \(-0.431258\pi\) | |||||||
\(500\) | −16.5588 | − | 20.7641i | −0.740532 | − | 0.928598i | ||||
\(501\) | 21.2677 | + | 10.2420i | 0.950172 | + | 0.457579i | ||||
\(502\) | 9.01333 | − | 39.4900i | 0.402284 | − | 1.76252i | ||||
\(503\) | 0.339633 | − | 0.425886i | 0.0151435 | − | 0.0189893i | −0.774202 | − | 0.632938i | \(-0.781849\pi\) |
0.789346 | + | 0.613949i | \(0.210420\pi\) | |||||||
\(504\) | 0.297204 | − | 1.30214i | 0.0132385 | − | 0.0580018i | ||||
\(505\) | 15.3044 | − | 7.37019i | 0.681035 | − | 0.327969i | ||||
\(506\) | −51.5125 | − | 64.5946i | −2.29001 | − | 2.87158i | ||||
\(507\) | −26.8018 | + | 12.9071i | −1.19031 | + | 0.573222i | ||||
\(508\) | 17.2529 | − | 21.6344i | 0.765472 | − | 0.959871i | ||||
\(509\) | 23.3239 | 1.03382 | 0.516908 | − | 0.856041i | \(-0.327083\pi\) | ||||
0.516908 | + | 0.856041i | \(0.327083\pi\) | |||||||
\(510\) | 5.81197 | 0.257359 | ||||||||
\(511\) | 25.0923 | − | 31.4648i | 1.11002 | − | 1.39192i | ||||
\(512\) | −28.6912 | − | 13.8169i | −1.26798 | − | 0.610629i | ||||
\(513\) | 9.95890 | + | 43.6328i | 0.439696 | + | 1.92643i | ||||
\(514\) | 8.45675 | − | 37.0514i | 0.373011 | − | 1.63427i | ||||
\(515\) | −1.35599 | −0.0597520 | ||||||||
\(516\) | 0.0547389 | + | 21.1010i | 0.00240975 | + | 0.928920i | ||||
\(517\) | −17.9343 | −0.788748 | ||||||||
\(518\) | 9.28373 | − | 40.6747i | 0.407904 | − | 1.78714i | ||||
\(519\) | 4.30718 | + | 18.8710i | 0.189064 | + | 0.828345i | ||||
\(520\) | −3.99580 | − | 1.92428i | −0.175228 | − | 0.0843851i | ||||
\(521\) | 6.51445 | − | 8.16886i | 0.285403 | − | 0.357884i | −0.618377 | − | 0.785882i | \(-0.712209\pi\) |
0.903780 | + | 0.427998i | \(0.140781\pi\) | |||||||
\(522\) | −11.2348 | −0.491732 | ||||||||
\(523\) | 2.42786 | 0.106163 | 0.0530815 | − | 0.998590i | \(-0.483096\pi\) | ||||
0.0530815 | + | 0.998590i | \(0.483096\pi\) | |||||||
\(524\) | −18.9219 | + | 23.7273i | −0.826605 | + | 1.03653i | ||||
\(525\) | 6.57242 | − | 3.16511i | 0.286844 | − | 0.138137i | ||||
\(526\) | −10.4282 | − | 13.0766i | −0.454693 | − | 0.570167i | ||||
\(527\) | 3.80672 | − | 1.83322i | 0.165823 | − | 0.0798562i | ||||
\(528\) | 5.15574 | − | 22.5888i | 0.224375 | − | 0.983050i | ||||
\(529\) | 37.6108 | − | 47.1624i | 1.63525 | − | 2.05054i | ||||
\(530\) | −7.35430 | + | 32.2213i | −0.319450 | + | 1.39960i | ||||
\(531\) | 3.13903 | + | 1.51168i | 0.136222 | + | 0.0656012i | ||||
\(532\) | 42.9512 | + | 53.8592i | 1.86217 | + | 2.33509i | ||||
\(533\) | −8.63248 | − | 10.8248i | −0.373914 | − | 0.468873i | ||||
\(534\) | 3.93607 | + | 17.2450i | 0.170330 | + | 0.746265i | ||||
\(535\) | 3.86158 | + | 1.85964i | 0.166951 | + | 0.0803992i | ||||
\(536\) | 0.226152 | − | 0.108909i | 0.00976830 | − | 0.00470417i | ||||
\(537\) | 2.50541 | + | 10.9769i | 0.108116 | + | 0.473689i | ||||
\(538\) | −6.68817 | − | 29.3028i | −0.288347 | − | 1.26333i | ||||
\(539\) | −34.5815 | + | 16.6536i | −1.48953 | + | 0.717320i | ||||
\(540\) | 21.5917 | + | 10.3980i | 0.929161 | + | 0.447460i | ||||
\(541\) | −1.96930 | − | 8.62806i | −0.0846668 | − | 0.370949i | 0.914789 | − | 0.403932i | \(-0.132357\pi\) |
−0.999456 | + | 0.0329822i | \(0.989500\pi\) | |||||||
\(542\) | −30.9153 | − | 38.7666i | −1.32793 | − | 1.66517i | ||||
\(543\) | −15.2955 | − | 19.1799i | −0.656391 | − | 0.823088i | ||||
\(544\) | 7.31103 | + | 3.52080i | 0.313458 | + | 0.150953i | ||||
\(545\) | 0.156710 | − | 0.686590i | 0.00671271 | − | 0.0294103i | ||||
\(546\) | 42.7879 | − | 53.6544i | 1.83115 | − | 2.29619i | ||||
\(547\) | −9.46809 | + | 41.4824i | −0.404826 | + | 1.77366i | 0.202577 | + | 0.979266i | \(0.435068\pi\) |
−0.607403 | + | 0.794394i | \(0.707789\pi\) | |||||||
\(548\) | 7.44107 | − | 3.58343i | 0.317867 | − | 0.153077i | ||||
\(549\) | 2.30082 | + | 2.88514i | 0.0981967 | + | 0.123135i | ||||
\(550\) | 10.2413 | − | 4.93196i | 0.436691 | − | 0.210299i | ||||
\(551\) | 31.9460 | − | 40.0590i | 1.36094 | − | 1.70657i | ||||
\(552\) | −5.31898 | −0.226391 | ||||||||
\(553\) | −21.3359 | −0.907295 | ||||||||
\(554\) | 9.07803 | − | 11.3835i | 0.385688 | − | 0.483638i | ||||
\(555\) | 13.1529 | + | 6.33409i | 0.558308 | + | 0.268867i | ||||
\(556\) | 1.32022 | + | 5.78426i | 0.0559898 | + | 0.245307i | ||||
\(557\) | −4.68314 | + | 20.5182i | −0.198431 | + | 0.869384i | 0.773440 | + | 0.633870i | \(0.218534\pi\) |
−0.971871 | + | 0.235514i | \(0.924323\pi\) | |||||||
\(558\) | 7.34499 | 0.310938 | ||||||||
\(559\) | 16.3255 | − | 34.1265i | 0.690497 | − | 1.44340i | ||||
\(560\) | −27.3912 | −1.15749 | ||||||||
\(561\) | −1.44242 | + | 6.31965i | −0.0608990 | + | 0.266816i | ||||
\(562\) | 1.06007 | + | 4.64445i | 0.0447161 | + | 0.195914i | ||||
\(563\) | −3.19615 | − | 1.53919i | −0.134702 | − | 0.0648690i | 0.365319 | − | 0.930882i | \(-0.380960\pi\) |
−0.500021 | + | 0.866013i | \(0.666674\pi\) | |||||||
\(564\) | −8.14136 | + | 10.2089i | −0.342813 | + | 0.429874i | ||||
\(565\) | 32.0410 | 1.34798 | ||||||||
\(566\) | 5.15071 | 0.216500 | ||||||||
\(567\) | −14.1559 | + | 17.7509i | −0.594490 | + | 0.745467i | ||||
\(568\) | −1.22781 | + | 0.591283i | −0.0515179 | + | 0.0248097i | ||||
\(569\) | 6.04913 | + | 7.58538i | 0.253593 | + | 0.317995i | 0.892290 | − | 0.451463i | \(-0.149098\pi\) |
−0.638697 | + | 0.769458i | \(0.720526\pi\) | |||||||
\(570\) | −41.5152 | + | 19.9927i | −1.73888 | + | 0.837401i | ||||
\(571\) | 1.89576 | − | 8.30585i | 0.0793350 | − | 0.347589i | −0.919645 | − | 0.392751i | \(-0.871523\pi\) |
0.998980 | + | 0.0451622i | \(0.0143805\pi\) | |||||||
\(572\) | 34.8786 | − | 43.7364i | 1.45835 | − | 1.82871i | ||||
\(573\) | −6.85842 | + | 30.0487i | −0.286515 | + | 1.25530i | ||||
\(574\) | 17.5371 | + | 8.44544i | 0.731986 | + | 0.352506i | ||||
\(575\) | 7.14755 | + | 8.96274i | 0.298073 | + | 0.373772i | ||||
\(576\) | 5.01174 | + | 6.28453i | 0.208823 | + | 0.261855i | ||||
\(577\) | −3.57627 | − | 15.6686i | −0.148882 | − | 0.652294i | −0.993197 | − | 0.116447i | \(-0.962849\pi\) |
0.844315 | − | 0.535847i | \(-0.180008\pi\) | |||||||
\(578\) | −1.84512 | − | 0.888561i | −0.0767467 | − | 0.0369593i | ||||
\(579\) | −8.61786 | + | 4.15014i | −0.358146 | + | 0.172474i | ||||
\(580\) | −6.10514 | − | 26.7484i | −0.253502 | − | 1.11066i | ||||
\(581\) | −13.6960 | − | 60.0060i | −0.568205 | − | 2.48947i | ||||
\(582\) | −32.0468 | + | 15.4329i | −1.32838 | + | 0.639715i | ||||
\(583\) | −33.2106 | − | 15.9934i | −1.37544 | − | 0.662379i | ||||
\(584\) | −0.898376 | − | 3.93604i | −0.0371751 | − | 0.162875i | ||||
\(585\) | −5.90811 | − | 7.40853i | −0.244270 | − | 0.306305i | ||||
\(586\) | −17.7718 | − | 22.2851i | −0.734147 | − | 0.920591i | ||||
\(587\) | −26.3255 | − | 12.6777i | −1.08657 | − | 0.523264i | −0.197158 | − | 0.980372i | \(-0.563171\pi\) |
−0.889411 | + | 0.457108i | \(0.848885\pi\) | |||||||
\(588\) | −6.21855 | + | 27.2452i | −0.256449 | + | 1.12357i | ||||
\(589\) | −20.8855 | + | 26.1895i | −0.860571 | + | 1.07912i | ||||
\(590\) | −3.61918 | + | 15.8566i | −0.148999 | + | 0.652808i | ||||
\(591\) | −2.20902 | + | 1.06381i | −0.0908670 | + | 0.0437593i | ||||
\(592\) | 11.4638 | + | 14.3752i | 0.471161 | + | 0.590817i | ||||
\(593\) | 18.6638 | − | 8.98800i | 0.766429 | − | 0.369093i | −0.00946564 | − | 0.999955i | \(-0.503013\pi\) |
0.775895 | + | 0.630862i | \(0.217299\pi\) | |||||||
\(594\) | −31.8564 | + | 39.9466i | −1.30708 | + | 1.63903i | ||||
\(595\) | 7.66322 | 0.314161 | ||||||||
\(596\) | 52.7374 | 2.16021 | ||||||||
\(597\) | 5.54204 | − | 6.94950i | 0.226821 | − | 0.284424i | ||||
\(598\) | 97.1658 | + | 46.7926i | 3.97341 | + | 1.91349i | ||||
\(599\) | 0.648234 | + | 2.84010i | 0.0264861 | + | 0.116043i | 0.986443 | − | 0.164105i | \(-0.0524735\pi\) |
−0.959957 | + | 0.280148i | \(0.909616\pi\) | |||||||
\(600\) | 0.162840 | − | 0.713450i | 0.00664793 | − | 0.0291265i | ||||
\(601\) | −28.1432 | −1.14799 | −0.573993 | − | 0.818860i | \(-0.694606\pi\) | ||||
−0.573993 | + | 0.818860i | \(0.694606\pi\) | |||||||
\(602\) | 0.137967 | + | 53.1842i | 0.00562313 | + | 2.16763i | ||||
\(603\) | 0.536311 | 0.0218403 | ||||||||
\(604\) | 5.55641 | − | 24.3442i | 0.226087 | − | 0.990553i | ||||
\(605\) | −3.67415 | − | 16.0975i | −0.149376 | − | 0.654457i | ||||
\(606\) | 23.7568 | + | 11.4407i | 0.965055 | + | 0.464746i | ||||
\(607\) | 26.3521 | − | 33.0444i | 1.06960 | − | 1.34123i | 0.132885 | − | 0.991131i | \(-0.457576\pi\) |
0.936712 | − | 0.350101i | \(-0.113853\pi\) | |||||||
\(608\) | −64.3343 | −2.60910 | ||||||||
\(609\) | 37.5391 | 1.52116 | ||||||||
\(610\) | −10.7408 | + | 13.4685i | −0.434881 | + | 0.545324i | ||||
\(611\) | 21.0918 | − | 10.1573i | 0.853284 | − | 0.410920i | ||||
\(612\) | −1.16119 | − | 1.45608i | −0.0469382 | − | 0.0588586i | ||||
\(613\) | 35.6836 | − | 17.1843i | 1.44125 | − | 0.694068i | 0.460197 | − | 0.887817i | \(-0.347779\pi\) |
0.981051 | + | 0.193749i | \(0.0620646\pi\) | |||||||
\(614\) | −4.95985 | + | 21.7305i | −0.200163 | + | 0.876973i | ||||
\(615\) | −4.24656 | + | 5.32502i | −0.171238 | + | 0.214726i | ||||
\(616\) | −1.54741 | + | 6.77964i | −0.0623469 | + | 0.273160i | ||||
\(617\) | −17.4303 | − | 8.39400i | −0.701719 | − | 0.337930i | 0.0487729 | − | 0.998810i | \(-0.484469\pi\) |
−0.750492 | + | 0.660880i | \(0.770183\pi\) | |||||||
\(618\) | −1.31238 | − | 1.64567i | −0.0527916 | − | 0.0661985i | ||||
\(619\) | −5.42144 | − | 6.79827i | −0.217906 | − | 0.273246i | 0.660849 | − | 0.750519i | \(-0.270197\pi\) |
−0.878755 | + | 0.477274i | \(0.841625\pi\) | |||||||
\(620\) | 3.99138 | + | 17.4874i | 0.160298 | + | 0.702310i | ||||
\(621\) | −46.4257 | − | 22.3574i | −1.86300 | − | 0.897173i | ||||
\(622\) | −46.7900 | + | 22.5329i | −1.87611 | + | 0.903486i | ||||
\(623\) | 5.18979 | + | 22.7380i | 0.207925 | + | 0.910978i | ||||
\(624\) | 6.72995 | + | 29.4858i | 0.269414 | + | 1.18038i | ||||
\(625\) | 15.4457 | − | 7.43825i | 0.617828 | − | 0.297530i | ||||
\(626\) | −14.3440 | − | 6.90771i | −0.573302 | − | 0.276088i | ||||
\(627\) | −11.4358 | − | 50.1034i | −0.456701 | − | 2.00094i | ||||
\(628\) | −23.1948 | − | 29.0854i | −0.925575 | − | 1.16063i | ||||
\(629\) | −3.20723 | − | 4.02174i | −0.127881 | − | 0.160357i | ||||
\(630\) | 12.0025 | + | 5.78010i | 0.478191 | + | 0.230285i | ||||
\(631\) | −2.85471 | + | 12.5073i | −0.113644 | + | 0.497908i | 0.885784 | + | 0.464098i | \(0.153621\pi\) |
−0.999428 | + | 0.0338105i | \(0.989236\pi\) | |||||||
\(632\) | −1.33449 | + | 1.67340i | −0.0530833 | + | 0.0665643i | ||||
\(633\) | −0.976533 | + | 4.27847i | −0.0388137 | + | 0.170054i | ||||
\(634\) | −25.8329 | + | 12.4404i | −1.02595 | + | 0.494073i | ||||
\(635\) | 15.2160 | + | 19.0802i | 0.603828 | + | 0.757176i | ||||
\(636\) | −24.1803 | + | 11.6446i | −0.958810 | + | 0.461739i | ||||
\(637\) | 31.2381 | − | 39.1713i | 1.23770 | − | 1.55202i | ||||
\(638\) | 58.4943 | 2.31581 | ||||||||
\(639\) | −2.91170 | −0.115185 | ||||||||
\(640\) | −3.81644 | + | 4.78566i | −0.150858 | + | 0.189170i | ||||
\(641\) | 34.1098 | + | 16.4264i | 1.34726 | + | 0.648805i | 0.961757 | − | 0.273903i | \(-0.0883147\pi\) |
0.385500 | + | 0.922708i | \(0.374029\pi\) | |||||||
\(642\) | 1.48047 | + | 6.48635i | 0.0584294 | + | 0.255996i | ||||
\(643\) | 9.10914 | − | 39.9097i | 0.359229 | − | 1.57389i | −0.395889 | − | 0.918298i | \(-0.629564\pi\) |
0.755119 | − | 0.655588i | \(-0.227579\pi\) | |||||||
\(644\) | −79.3149 | −3.12544 | ||||||||
\(645\) | −18.1540 | − | 4.09401i | −0.714812 | − | 0.161201i | ||||
\(646\) | 16.2363 | 0.638810 | ||||||||
\(647\) | −2.99730 | + | 13.1320i | −0.117836 | + | 0.516274i | 0.881215 | + | 0.472716i | \(0.156726\pi\) |
−0.999051 | + | 0.0435576i | \(0.986131\pi\) | |||||||
\(648\) | 0.506819 | + | 2.22052i | 0.0199097 | + | 0.0872303i | ||||
\(649\) | −16.3435 | − | 7.87063i | −0.641539 | − | 0.308949i | ||||
\(650\) | −9.25116 | + | 11.6006i | −0.362860 | + | 0.455013i | ||||
\(651\) | −24.5421 | −0.961879 | ||||||||
\(652\) | 16.8648 | 0.660477 | ||||||||
\(653\) | −0.338321 | + | 0.424241i | −0.0132395 | + | 0.0166018i | −0.788407 | − | 0.615154i | \(-0.789094\pi\) |
0.775168 | + | 0.631756i | \(0.217665\pi\) | |||||||
\(654\) | 0.984936 | − | 0.474320i | 0.0385140 | − | 0.0185474i | ||||
\(655\) | −16.6880 | − | 20.9260i | −0.652052 | − | 0.817648i | ||||
\(656\) | −7.72872 | + | 3.72196i | −0.301756 | + | 0.145318i | ||||
\(657\) | 1.91948 | − | 8.40978i | 0.0748860 | − | 0.328097i | ||||
\(658\) | −20.5200 | + | 25.7312i | −0.799951 | + | 1.00311i | ||||
\(659\) | −7.74191 | + | 33.9195i | −0.301582 | + | 1.32132i | 0.566157 | + | 0.824297i | \(0.308429\pi\) |
−0.867739 | + | 0.497019i | \(0.834428\pi\) | |||||||
\(660\) | −24.7937 | − | 11.9400i | −0.965095 | − | 0.464765i | ||||
\(661\) | −7.44958 | − | 9.34148i | −0.289755 | − | 0.363341i | 0.615554 | − | 0.788095i | \(-0.288932\pi\) |
−0.905309 | + | 0.424753i | \(0.860361\pi\) | |||||||
\(662\) | −16.9015 | − | 21.1939i | −0.656897 | − | 0.823723i | ||||
\(663\) | −1.88284 | − | 8.24924i | −0.0731233 | − | 0.320374i | ||||
\(664\) | −5.56298 | − | 2.67899i | −0.215886 | − | 0.103965i | ||||
\(665\) | −54.7388 | + | 26.3608i | −2.12268 | + | 1.02223i | ||||
\(666\) | −1.98986 | − | 8.71815i | −0.0771056 | − | 0.337822i | ||||
\(667\) | 13.1270 | + | 57.5132i | 0.508280 | + | 2.22692i | ||||
\(668\) | 31.8143 | − | 15.3210i | 1.23093 | − | 0.592786i | ||||
\(669\) | −8.42853 | − | 4.05896i | −0.325866 | − | 0.156929i | ||||
\(670\) | 0.557109 | + | 2.44086i | 0.0215230 | + | 0.0942985i | ||||
\(671\) | −11.9793 | − | 15.0216i | −0.462457 | − | 0.579903i | ||||
\(672\) | −29.3879 | − | 36.8512i | −1.13366 | − | 1.42157i | ||||
\(673\) | −16.3650 | − | 7.88097i | −0.630825 | − | 0.303789i | 0.0910149 | − | 0.995850i | \(-0.470989\pi\) |
−0.721840 | + | 0.692060i | \(0.756703\pi\) | |||||||
\(674\) | 1.47177 | − | 6.44823i | 0.0566903 | − | 0.248376i | ||||
\(675\) | 4.42019 | − | 5.54275i | 0.170133 | − | 0.213340i | ||||
\(676\) | −9.90208 | + | 43.3839i | −0.380849 | + | 1.66861i | ||||
\(677\) | 23.3412 | − | 11.2405i | 0.897074 | − | 0.432008i | 0.0722425 | − | 0.997387i | \(-0.476984\pi\) |
0.824831 | + | 0.565379i | \(0.191270\pi\) | |||||||
\(678\) | 31.0105 | + | 38.8859i | 1.19095 | + | 1.49341i | ||||
\(679\) | −42.2544 | + | 20.3487i | −1.62158 | + | 0.780910i | ||||
\(680\) | 0.479310 | − | 0.601035i | 0.0183807 | − | 0.0230487i | ||||
\(681\) | 6.93144 | 0.265613 | ||||||||
\(682\) | −38.2421 | −1.46436 | ||||||||
\(683\) | −4.54362 | + | 5.69752i | −0.173857 | + | 0.218009i | −0.861124 | − | 0.508396i | \(-0.830239\pi\) |
0.687267 | + | 0.726405i | \(0.258810\pi\) | |||||||
\(684\) | 13.3032 | + | 6.40649i | 0.508661 | + | 0.244958i | ||||
\(685\) | 1.62082 | + | 7.10129i | 0.0619285 | + | 0.271326i | ||||
\(686\) | −3.04023 | + | 13.3201i | −0.116076 | + | 0.508564i | ||||
\(687\) | 1.37921 | 0.0526202 | ||||||||
\(688\) | −18.3630 | − | 14.5662i | −0.700081 | − | 0.555331i | ||||
\(689\) | 48.1159 | 1.83307 | ||||||||
\(690\) | 11.8053 | − | 51.7224i | 0.449420 | − | 1.96904i | ||||
\(691\) | −4.50487 | − | 19.7371i | −0.171373 | − | 0.750835i | −0.985434 | − | 0.170056i | \(-0.945605\pi\) |
0.814061 | − | 0.580779i | \(-0.197252\pi\) | |||||||
\(692\) | 26.0876 | + | 12.5631i | 0.991702 | + | 0.477578i | ||||
\(693\) | −9.26379 | + | 11.6164i | −0.351902 | + | 0.441271i | ||||
\(694\) | −44.2391 | −1.67929 | ||||||||
\(695\) | −5.23256 | −0.198482 | ||||||||
\(696\) | 2.34795 | − | 2.94423i | 0.0889987 | − | 0.111601i | ||||
\(697\) | 2.16226 | − | 1.04129i | 0.0819015 | − | 0.0394417i | ||||
\(698\) | −22.5111 | − | 28.2281i | −0.852059 | − | 1.06845i | ||||
\(699\) | 3.25729 | − | 1.56863i | 0.123202 | − | 0.0593309i | ||||
\(700\) | 2.42822 | − | 10.6387i | 0.0917782 | − | 0.402107i | ||||
\(701\) | −17.1557 | + | 21.5126i | −0.647962 | + | 0.812519i | −0.991973 | − | 0.126446i | \(-0.959643\pi\) |
0.344011 | + | 0.938966i | \(0.388214\pi\) | |||||||
\(702\) | 14.8409 | − | 65.0220i | 0.560132 | − | 2.45410i | ||||
\(703\) | 36.7439 | + | 17.6949i | 1.38582 | + | 0.667377i | ||||
\(704\) | −26.0939 | − | 32.7207i | −0.983451 | − | 1.23321i | ||||
\(705\) | −7.18019 | − | 9.00367i | −0.270422 | − | 0.339098i | ||||
\(706\) | 13.5506 | + | 59.3693i | 0.509985 | + | 2.23439i | ||||
\(707\) | 31.3239 | + | 15.0848i | 1.17806 | + | 0.567322i | ||||
\(708\) | −11.8995 | + | 5.73051i | −0.447212 | + | 0.215366i | ||||
\(709\) | −2.81532 | − | 12.3347i | −0.105731 | − | 0.463240i | −0.999880 | − | 0.0154699i | \(-0.995076\pi\) |
0.894149 | − | 0.447770i | \(-0.147782\pi\) | |||||||
\(710\) | −3.02462 | − | 13.2517i | −0.113512 | − | 0.497329i | ||||
\(711\) | −4.12023 | + | 1.98420i | −0.154521 | + | 0.0744133i | ||||
\(712\) | 2.10797 | + | 1.01514i | 0.0789995 | + | 0.0380442i | ||||
\(713\) | −8.58211 | − | 37.6007i | −0.321402 | − | 1.40816i | ||||
\(714\) | 7.41675 | + | 9.30031i | 0.277565 | + | 0.348056i | ||||
\(715\) | 30.7609 | + | 38.5729i | 1.15039 | + | 1.44254i | ||||
\(716\) | 15.1747 | + | 7.30775i | 0.567105 | + | 0.273103i | ||||
\(717\) | 5.20303 | − | 22.7960i | 0.194311 | − | 0.851331i | ||||
\(718\) | 28.7145 | − | 36.0068i | 1.07162 | − | 1.34376i | ||||
\(719\) | −5.31737 | + | 23.2969i | −0.198304 | + | 0.868828i | 0.773641 | + | 0.633624i | \(0.218433\pi\) |
−0.971946 | + | 0.235205i | \(0.924424\pi\) | |||||||
\(720\) | −5.28958 | + | 2.54733i | −0.197131 | + | 0.0949332i | ||||
\(721\) | −1.73040 | − | 2.16985i | −0.0644435 | − | 0.0808095i | ||||
\(722\) | −80.9198 | + | 38.9689i | −3.01152 | + | 1.45027i | ||||
\(723\) | −2.25489 | + | 2.82754i | −0.0838602 | + | 0.105157i | ||||
\(724\) | −36.6974 | −1.36385 | ||||||||
\(725\) | −8.11631 | −0.301432 | ||||||||
\(726\) | 15.9804 | − | 20.0388i | 0.593090 | − | 0.743711i | ||||
\(727\) | −26.3515 | − | 12.6902i | −0.977323 | − | 0.470654i | −0.124139 | − | 0.992265i | \(-0.539617\pi\) |
−0.853183 | + | 0.521611i | \(0.825331\pi\) | |||||||
\(728\) | −2.01988 | − | 8.84968i | −0.0748618 | − | 0.327991i | ||||
\(729\) | −6.60992 | + | 28.9599i | −0.244812 | + | 1.07259i | ||||
\(730\) | 40.2685 | 1.49040 | ||||||||
\(731\) | 5.13740 | + | 4.07518i | 0.190014 | + | 0.150726i | ||||
\(732\) | −13.9890 | −0.517049 | ||||||||
\(733\) | −4.04085 | + | 17.7041i | −0.149252 | + | 0.653916i | 0.843842 | + | 0.536592i | \(0.180289\pi\) |
−0.993094 | + | 0.117324i | \(0.962568\pi\) | |||||||
\(734\) | 10.4080 | + | 45.6004i | 0.384166 | + | 1.68314i | ||||
\(735\) | −22.2058 | − | 10.6938i | −0.819074 | − | 0.394445i | ||||
\(736\) | 46.1828 | − | 57.9114i | 1.70232 | − | 2.13464i | ||||
\(737\) | −2.79233 | −0.102857 | ||||||||
\(738\) | 4.17205 | 0.153575 | ||||||||
\(739\) | 16.8997 | − | 21.1916i | 0.621667 | − | 0.779546i | −0.366911 | − | 0.930256i | \(-0.619585\pi\) |
0.988578 | + | 0.150710i | \(0.0481560\pi\) | |||||||
\(740\) | 19.6754 | − | 9.47515i | 0.723281 | − | 0.348314i | ||||
\(741\) | 41.8259 | + | 52.4480i | 1.53651 | + | 1.92672i | ||||
\(742\) | −60.9454 | + | 29.3498i | −2.23738 | + | 1.07746i | ||||
\(743\) | 7.47647 | − | 32.7566i | 0.274285 | − | 1.20172i | −0.630614 | − | 0.776096i | \(-0.717197\pi\) |
0.904899 | − | 0.425626i | \(-0.139946\pi\) | |||||||
\(744\) | −1.53503 | + | 1.92486i | −0.0562768 | + | 0.0705689i | ||||
\(745\) | −10.3497 | + | 45.3451i | −0.379184 | + | 1.66131i | ||||
\(746\) | −28.3938 | − | 13.6737i | −1.03957 | − | 0.500631i | ||||
\(747\) | −8.22531 | − | 10.3142i | −0.300948 | − | 0.377377i | ||||
\(748\) | 6.04578 | + | 7.58116i | 0.221056 | + | 0.277195i | ||||
\(749\) | 1.95203 | + | 8.55241i | 0.0713257 | + | 0.312498i | ||||
\(750\) | 32.7583 | + | 15.7756i | 1.19616 | + | 0.576042i | ||||
\(751\) | 31.9943 | − | 15.4076i | 1.16749 | − | 0.562232i | 0.253246 | − | 0.967402i | \(-0.418502\pi\) |
0.914242 | + | 0.405170i | \(0.132788\pi\) | |||||||
\(752\) | −3.22751 | − | 14.1406i | −0.117695 | − | 0.515656i | ||||
\(753\) | 6.45513 | + | 28.2818i | 0.235238 | + | 1.03065i | ||||
\(754\) | −68.7930 | + | 33.1290i | −2.50529 | + | 1.20649i | ||||
\(755\) | 19.8414 | + | 9.55512i | 0.722103 | + | 0.347746i | ||||
\(756\) | 10.9146 | + | 47.8202i | 0.396962 | + | 1.73920i | ||||
\(757\) | −3.15619 | − | 3.95774i | −0.114714 | − | 0.143846i | 0.721159 | − | 0.692769i | \(-0.243610\pi\) |
−0.835873 | + | 0.548923i | \(0.815038\pi\) | |||||||
\(758\) | 18.0398 | + | 22.6212i | 0.655236 | + | 0.821640i | ||||
\(759\) | 53.3105 | + | 25.6730i | 1.93505 | + | 0.931871i | ||||
\(760\) | −1.35623 | + | 5.94201i | −0.0491955 | + | 0.215539i | ||||
\(761\) | −23.5175 | + | 29.4900i | −0.852507 | + | 1.06901i | 0.144329 | + | 0.989530i | \(0.453898\pi\) |
−0.996836 | + | 0.0794803i | \(0.974674\pi\) | |||||||
\(762\) | −8.42975 | + | 36.9331i | −0.305378 | + | 1.33795i | ||||
\(763\) | 1.29866 | − | 0.625402i | 0.0470147 | − | 0.0226411i | ||||
\(764\) | 28.7465 | + | 36.0470i | 1.04001 | + | 1.30413i | ||||
\(765\) | 1.47986 | − | 0.712665i | 0.0535046 | − | 0.0257664i | ||||
\(766\) | 4.94733 | − | 6.20376i | 0.178754 | − | 0.224151i | ||||
\(767\) | 23.6786 | 0.854986 | ||||||||
\(768\) | 18.2754 | 0.659457 | ||||||||
\(769\) | 31.6612 | − | 39.7019i | 1.14173 | − | 1.43169i | 0.256499 | − | 0.966545i | \(-0.417431\pi\) |
0.885235 | − | 0.465144i | \(-0.153998\pi\) | |||||||
\(770\) | −62.4916 | − | 30.0944i | −2.25204 | − | 1.08453i | ||||
\(771\) | 6.05653 | + | 26.5354i | 0.218120 | + | 0.955648i | ||||
\(772\) | −3.18392 | + | 13.9497i | −0.114592 | + | 0.502060i | ||||
\(773\) | 13.8342 | 0.497582 | 0.248791 | − | 0.968557i | \(-0.419967\pi\) | ||||
0.248791 | + | 0.968557i | \(0.419967\pi\) | |||||||
\(774\) | 4.97267 | + | 10.2577i | 0.178739 | + | 0.368706i | ||||
\(775\) | 5.30623 | 0.190605 | ||||||||
\(776\) | −1.04691 | + | 4.58681i | −0.0375818 | + | 0.164657i | ||||
\(777\) | 6.64879 | + | 29.1302i | 0.238524 | + | 1.04504i | ||||
\(778\) | 27.0093 | + | 13.0070i | 0.968332 | + | 0.466324i | ||||
\(779\) | −11.8632 | + | 14.8760i | −0.425044 | + | 0.532988i | ||||
\(780\) | 35.9214 | 1.28619 | ||||||||
\(781\) | 15.1599 | 0.542465 | ||||||||
\(782\) | −11.6554 | + | 14.6154i | −0.416795 | + | 0.522644i | ||||
\(783\) | 32.8692 | − | 15.8290i | 1.17465 | − | 0.565681i | ||||
\(784\) | −19.3542 | − | 24.2695i | −0.691223 | − | 0.866766i | ||||
\(785\) | 29.5605 | − | 14.2356i | 1.05506 | − | 0.508089i | ||||
\(786\) | 9.24523 | − | 40.5060i | 0.329766 | − | 1.44480i | ||||
\(787\) | 4.10630 | − | 5.14914i | 0.146374 | − | 0.183547i | −0.703240 | − | 0.710953i | \(-0.748264\pi\) |
0.849613 | + | 0.527406i | \(0.176835\pi\) | |||||||
\(788\) | −0.816137 | + | 3.57573i | −0.0290737 | + | 0.127380i | ||||
\(789\) | 10.7922 | + | 5.19727i | 0.384214 | + | 0.185028i | ||||
\(790\) | −13.3105 | − | 16.6908i | −0.473566 | − | 0.593833i | ||||
\(791\) | 40.8881 | + | 51.2720i | 1.45381 | + | 1.82302i | ||||
\(792\) | 0.331669 | + | 1.45314i | 0.0117854 | + | 0.0516350i | ||||
\(793\) | 22.5961 | + | 10.8817i | 0.802412 | + | 0.386421i | ||||
\(794\) | −10.6352 | + | 5.12166i | −0.377431 | + | 0.181761i | ||||
\(795\) | −5.26698 | − | 23.0761i | −0.186800 | − | 0.818426i | ||||
\(796\) | −2.95878 | − | 12.9633i | −0.104871 | − | 0.459471i | ||||
\(797\) | −0.523021 | + | 0.251874i | −0.0185264 | + | 0.00892182i | −0.443124 | − | 0.896460i | \(-0.646130\pi\) |
0.424598 | + | 0.905382i | \(0.360416\pi\) | |||||||
\(798\) | −84.9705 | − | 40.9196i | −3.00792 | − | 1.44854i | ||||
\(799\) | 0.902958 | + | 3.95612i | 0.0319444 | + | 0.139957i | ||||
\(800\) | 6.35394 | + | 7.96759i | 0.224646 | + | 0.281697i | ||||
\(801\) | 3.11680 | + | 3.90834i | 0.110127 | + | 0.138095i | ||||
\(802\) | 23.2967 | + | 11.2191i | 0.822635 | + | 0.396160i | ||||
\(803\) | −9.99386 | + | 43.7860i | −0.352676 | + | 1.54517i | ||||
\(804\) | −1.26759 | + | 1.58951i | −0.0447046 | + | 0.0560578i | ||||
\(805\) | 15.5656 | − | 68.1972i | 0.548614 | − | 2.40363i | ||||
\(806\) | 44.9751 | − | 21.6589i | 1.58418 | − | 0.762901i | ||||
\(807\) | 13.4210 | + | 16.8294i | 0.472442 | + | 0.592424i | ||||
\(808\) | 3.14233 | − | 1.51327i | 0.110547 | − | 0.0532365i | ||||
\(809\) | −25.8731 | + | 32.4438i | −0.909649 | + | 1.14066i | 0.0799478 | + | 0.996799i | \(0.474525\pi\) |
−0.989597 | + | 0.143865i | \(0.954047\pi\) | |||||||
\(810\) | −22.7175 | −0.798211 | ||||||||
\(811\) | −4.11380 | −0.144455 | −0.0722275 | − | 0.997388i | \(-0.523011\pi\) | ||||
−0.0722275 | + | 0.997388i | \(0.523011\pi\) | |||||||
\(812\) | 35.0118 | − | 43.9034i | 1.22867 | − | 1.54071i | ||||
\(813\) | 31.9944 | + | 15.4077i | 1.12209 | + | 0.540371i | ||||
\(814\) | 10.3603 | + | 45.3915i | 0.363129 | + | 1.59097i | ||||
\(815\) | −3.30972 | + | 14.5008i | −0.115935 | + | 0.507943i | ||||
\(816\) | −5.24244 | −0.183522 | ||||||||
\(817\) | −50.7150 | − | 11.4370i | −1.77429 | − | 0.400131i | ||||
\(818\) | −71.9989 | −2.51738 | ||||||||
\(819\) | 4.31570 | − | 18.9083i | 0.150803 | − | 0.660709i | ||||
\(820\) | 2.26715 | + | 9.93305i | 0.0791725 | + | 0.346877i | ||||
\(821\) | −45.5031 | − | 21.9132i | −1.58807 | − | 0.764774i | −0.589010 | − | 0.808125i | \(-0.700482\pi\) |
−0.999060 | + | 0.0433512i | \(0.986197\pi\) | |||||||
\(822\) | −7.04964 | + | 8.83997i | −0.245885 | + | 0.308330i | ||||
\(823\) | 36.0625 | 1.25706 | 0.628531 | − | 0.777785i | \(-0.283657\pi\) | ||||
0.628531 | + | 0.777785i | \(0.283657\pi\) | |||||||
\(824\) | −0.278415 | −0.00969904 | ||||||||
\(825\) | −5.07570 | + | 6.36472i | −0.176713 | + | 0.221591i | ||||
\(826\) | −29.9923 | + | 14.4435i | −1.04356 | + | 0.502554i | ||||
\(827\) | −20.3914 | − | 25.5700i | −0.709079 | − | 0.889157i | 0.288586 | − | 0.957454i | \(-0.406815\pi\) |
−0.997665 | + | 0.0682974i | \(0.978243\pi\) | |||||||
\(828\) | −15.3167 | + | 7.37613i | −0.532292 | + | 0.256338i | ||||
\(829\) | −3.14965 | + | 13.7995i | −0.109392 | + | 0.479277i | 0.890321 | + | 0.455333i | \(0.150480\pi\) |
−0.999713 | + | 0.0239446i | \(0.992377\pi\) | |||||||
\(830\) | 38.3977 | − | 48.1492i | 1.33280 | − | 1.67128i | ||||
\(831\) | −2.32035 | + | 10.1661i | −0.0804920 | + | 0.352658i | ||||
\(832\) | 49.2198 | + | 23.7030i | 1.70639 | + | 0.821755i | ||||
\(833\) | 5.41473 | + | 6.78986i | 0.187609 | + | 0.235255i | ||||
\(834\) | −5.06427 | − | 6.35040i | −0.175361 | − | 0.219896i | ||||
\(835\) | 6.92984 | + | 30.3616i | 0.239817 | + | 1.05071i | ||||
\(836\) | −69.2639 | − | 33.3557i | −2.39554 | − | 1.15363i | ||||
\(837\) | −21.4890 | + | 10.3486i | −0.742770 | + | 0.357699i | ||||
\(838\) | 1.53005 | + | 6.70357i | 0.0528546 | + | 0.231571i | ||||
\(839\) | −4.91414 | − | 21.5303i | −0.169655 | − | 0.743307i | −0.986137 | − | 0.165936i | \(-0.946936\pi\) |
0.816482 | − | 0.577372i | \(-0.195922\pi\) | |||||||
\(840\) | −4.02316 | + | 1.93745i | −0.138812 | + | 0.0668484i | ||||
\(841\) | −11.5020 | − | 5.53908i | −0.396622 | − | 0.191003i | ||||
\(842\) | 17.3361 | + | 75.9543i | 0.597440 | + | 2.61756i | ||||
\(843\) | −2.12721 | − | 2.66744i | −0.0732651 | − | 0.0918716i | ||||
\(844\) | 4.09305 | + | 5.13253i | 0.140889 | + | 0.176669i | ||||
\(845\) | −35.3594 | − | 17.0282i | −1.21640 | − | 0.585787i | ||||
\(846\) | −1.56971 | + | 6.87733i | −0.0539676 | + | 0.236448i | ||||
\(847\) | 21.0706 | − | 26.4217i | 0.723994 | − | 0.907860i | ||||
\(848\) | 6.63363 | − | 29.0638i | 0.227800 | − | 0.998056i | ||||
\(849\) | −3.32351 | + | 1.60052i | −0.114063 | + | 0.0549296i | ||||
\(850\) | −1.60357 | − | 2.01082i | −0.0550021 | − | 0.0689705i | ||||
\(851\) | −42.3052 | + | 20.3731i | −1.45020 | + | 0.698381i | ||||
\(852\) | 6.88194 | − | 8.62968i | 0.235771 | − | 0.295648i | ||||
\(853\) | −32.9693 | −1.12885 | −0.564424 | − | 0.825485i | \(-0.690902\pi\) | ||||
−0.564424 | + | 0.825485i | \(0.690902\pi\) | |||||||
\(854\) | −35.2588 | −1.20653 | ||||||||
\(855\) | −8.11924 | + | 10.1812i | −0.277672 | + | 0.348190i | ||||
\(856\) | 0.792868 | + | 0.381825i | 0.0270997 | + | 0.0130505i | ||||
\(857\) | −6.63902 | − | 29.0874i | −0.226785 | − | 0.993608i | −0.952243 | − | 0.305342i | \(-0.901229\pi\) |
0.725458 | − | 0.688266i | \(-0.241628\pi\) | |||||||
\(858\) | −17.0417 | + | 74.6646i | −0.581794 | + | 2.54901i | ||||
\(859\) | 12.2621 | 0.418376 | 0.209188 | − | 0.977875i | \(-0.432918\pi\) | ||||
0.209188 | + | 0.977875i | \(0.432918\pi\) | |||||||
\(860\) | −21.7199 | + | 17.4134i | −0.740643 | + | 0.593793i | ||||
\(861\) | −13.9402 | −0.475081 | ||||||||
\(862\) | 8.88719 | − | 38.9373i | 0.302699 | − | 1.32621i | ||||
\(863\) | 8.60011 | + | 37.6796i | 0.292751 | + | 1.28263i | 0.880679 | + | 0.473714i | \(0.157087\pi\) |
−0.587928 | + | 0.808913i | \(0.700056\pi\) | |||||||
\(864\) | −41.2710 | − | 19.8751i | −1.40407 | − | 0.676163i | ||||
\(865\) | −15.9218 | + | 19.9653i | −0.541358 | + | 0.678842i | ||||
\(866\) | −20.5674 | −0.698909 | ||||||||
\(867\) | 1.46668 | 0.0498109 | ||||||||
\(868\) | −22.8898 | + | 28.7029i | −0.776931 | + | 0.974241i | ||||
\(869\) | 21.4522 | − | 10.3308i | 0.727716 | − | 0.350449i | ||||
\(870\) | 23.4189 | + | 29.3663i | 0.793974 | + | 0.995612i | ||||
\(871\) | 3.28395 | − | 1.58147i | 0.111273 | − | 0.0535860i | ||||
\(872\) | 0.0321760 | − | 0.140972i | 0.00108962 | − | 0.00477392i | ||||
\(873\) | −6.26747 | + | 7.85916i | −0.212122 | + | 0.265992i | ||||
\(874\) | 32.9793 | − | 144.492i | 1.11554 | − | 4.88751i | ||||
\(875\) | 43.1926 | + | 20.8004i | 1.46018 | + | 0.703183i | ||||
\(876\) | 20.3880 | + | 25.5658i | 0.688848 | + | 0.863788i | ||||
\(877\) | 26.0682 | + | 32.6885i | 0.880262 | + | 1.10381i | 0.993899 | + | 0.110291i | \(0.0351784\pi\) |
−0.113637 | + | 0.993522i | \(0.536250\pi\) | |||||||
\(878\) | −2.70663 | − | 11.8585i | −0.0913442 | − | 0.400205i | ||||
\(879\) | 18.3921 | + | 8.85719i | 0.620351 | + | 0.298746i | ||||
\(880\) | 27.5404 | − | 13.2628i | 0.928388 | − | 0.447088i | ||||
\(881\) | −8.93232 | − | 39.1350i | −0.300937 | − | 1.31849i | −0.868716 | − | 0.495311i | \(-0.835054\pi\) |
0.567778 | − | 0.823182i | \(-0.307803\pi\) | |||||||
\(882\) | 3.35946 | + | 14.7187i | 0.113119 | + | 0.495606i | ||||
\(883\) | 9.36247 | − | 4.50873i | 0.315072 | − | 0.151731i | −0.269664 | − | 0.962955i | \(-0.586912\pi\) |
0.584736 | + | 0.811224i | \(0.301198\pi\) | |||||||
\(884\) | −11.4039 | − | 5.49183i | −0.383555 | − | 0.184710i | ||||
\(885\) | −2.59197 | − | 11.3562i | −0.0871281 | − | 0.381733i | ||||
\(886\) | 5.27886 | + | 6.61948i | 0.177347 | + | 0.222386i | ||||
\(887\) | −13.8468 | − | 17.3633i | −0.464930 | − | 0.583003i | 0.492992 | − | 0.870034i | \(-0.335903\pi\) |
−0.957921 | + | 0.287031i | \(0.907332\pi\) | |||||||
\(888\) | 2.70058 | + | 1.30053i | 0.0906255 | + | 0.0436429i | ||||
\(889\) | −11.1148 | + | 48.6972i | −0.372779 | + | 1.63325i | ||||
\(890\) | −14.5500 | + | 18.2451i | −0.487716 | + | 0.611576i | ||||
\(891\) | 5.63804 | − | 24.7019i | 0.188881 | − | 0.827544i | ||||
\(892\) | −12.6082 | + | 6.07180i | −0.422154 | + | 0.203299i | ||||
\(893\) | −20.0586 | − | 25.1527i | −0.671235 | − | 0.841702i | ||||
\(894\) | −65.0490 | + | 31.3259i | −2.17556 | + | 1.04770i | ||||
\(895\) | −9.26144 | + | 11.6135i | −0.309576 | + | 0.388196i | ||||
\(896\) | −12.5282 | −0.418539 | ||||||||
\(897\) | −77.2367 | −2.57886 | ||||||||
\(898\) | 7.57079 | − | 9.49347i | 0.252641 | − | 0.316801i | ||||
\(899\) | 24.6016 | + | 11.8475i | 0.820509 | + | 0.395137i | ||||
\(900\) | −0.520462 | − | 2.28029i | −0.0173487 | − | 0.0760098i | ||||
\(901\) | −1.85589 | + | 8.13118i | −0.0618286 | + | 0.270889i | ||||
\(902\) | −21.7220 | −0.723263 | ||||||||
\(903\) | −16.6154 | − | 34.2744i | −0.552924 | − | 1.14058i | ||||
\(904\) | 6.57874 | 0.218806 | ||||||||
\(905\) | 7.20187 | − | 31.5534i | 0.239398 | − | 1.04887i | ||||
\(906\) | 7.60688 | + | 33.3279i | 0.252722 | + | 1.10725i | ||||
\(907\) | 21.9983 | + | 10.5938i | 0.730442 | + | 0.351762i | 0.761858 | − | 0.647744i | \(-0.224287\pi\) |
−0.0314160 | + | 0.999506i | \(0.510002\pi\) | |||||||
\(908\) | 6.46479 | − | 8.10659i | 0.214542 | − | 0.269027i | ||||
\(909\) | 7.45189 | 0.247164 | ||||||||
\(910\) | 90.5384 | 3.00132 | ||||||||
\(911\) | 6.13721 | − | 7.69582i | 0.203335 | − | 0.254974i | −0.669700 | − | 0.742632i | \(-0.733577\pi\) |
0.873035 | + | 0.487658i | \(0.162149\pi\) | |||||||
\(912\) | 37.4470 | − | 18.0335i | 1.24000 | − | 0.597150i | ||||
\(913\) | 42.8255 | + | 53.7015i | 1.41732 | + | 1.77726i | ||||
\(914\) | 61.8851 | − | 29.8023i | 2.04698 | − | 0.985772i | ||||
\(915\) | 2.74535 | − | 12.0282i | 0.0907584 | − | 0.397639i | ||||
\(916\) | 1.28636 | − | 1.61304i | 0.0425025 | − | 0.0532964i | ||||
\(917\) | 12.1900 | − | 53.4081i | 0.402551 | − | 1.76369i | ||||
\(918\) | 10.4157 | + | 5.01596i | 0.343771 | + | 0.165551i | ||||
\(919\) | 18.8639 | + | 23.6545i | 0.622261 | + | 0.780291i | 0.988661 | − | 0.150167i | \(-0.0479811\pi\) |
−0.366400 | + | 0.930458i | \(0.619410\pi\) | |||||||
\(920\) | −4.37521 | − | 5.48634i | −0.144246 | − | 0.180879i | ||||
\(921\) | −3.55213 | − | 15.5629i | −0.117047 | − | 0.512815i | ||||
\(922\) | 14.0849 | + | 6.78292i | 0.463861 | + | 0.223384i | ||||
\(923\) | −17.8290 | + | 8.58601i | −0.586850 | + | 0.282612i | ||||
\(924\) | −12.5333 | − | 54.9118i | −0.412314 | − | 1.80647i | ||||
\(925\) | −1.43753 | − | 6.29824i | −0.0472658 | − | 0.207085i | ||||
\(926\) | −28.2257 | + | 13.5928i | −0.927554 | + | 0.446687i | ||||
\(927\) | −0.535954 | − | 0.258102i | −0.0176030 | − | 0.00847717i | ||||
\(928\) | 11.6695 | + | 51.1274i | 0.383070 | + | 1.67834i | ||||
\(929\) | 2.65824 | + | 3.33333i | 0.0872140 | + | 0.109363i | 0.823524 | − | 0.567282i | \(-0.192005\pi\) |
−0.736310 | + | 0.676644i | \(0.763433\pi\) | |||||||
\(930\) | −15.3107 | − | 19.1990i | −0.502056 | − | 0.629558i | ||||
\(931\) | −62.0342 | − | 29.8741i | −2.03309 | − | 0.979084i | ||||
\(932\) | 1.20342 | − | 5.27255i | 0.0394195 | − | 0.172708i | ||||
\(933\) | 23.1896 | − | 29.0788i | 0.759192 | − | 0.951997i | ||||
\(934\) | 2.03710 | − | 8.92511i | 0.0666559 | − | 0.292039i | ||||
\(935\) | −7.70498 | + | 3.71052i | −0.251980 | + | 0.121347i | ||||
\(936\) | −1.21307 | − | 1.52114i | −0.0396503 | − | 0.0497199i | ||||
\(937\) | 29.7169 | − | 14.3109i | 0.970810 | − | 0.467517i | 0.119875 | − | 0.992789i | \(-0.461751\pi\) |
0.850935 | + | 0.525272i | \(0.176036\pi\) | |||||||
\(938\) | −3.19492 | + | 4.00630i | −0.104318 | + | 0.130810i | ||||
\(939\) | 11.4020 | 0.372090 | ||||||||
\(940\) | −17.2270 | −0.561881 | ||||||||
\(941\) | 15.5547 | − | 19.5050i | 0.507068 | − | 0.635844i | −0.460739 | − | 0.887536i | \(-0.652416\pi\) |
0.967807 | + | 0.251692i | \(0.0809870\pi\) | |||||||
\(942\) | 45.8864 | + | 22.0977i | 1.49506 | + | 0.719983i | ||||
\(943\) | −4.87475 | − | 21.3577i | −0.158744 | − | 0.695501i | ||||
\(944\) | 3.26452 | − | 14.3028i | 0.106251 | − | 0.465517i | ||||
\(945\) | −43.2591 | −1.40722 | ||||||||
\(946\) | −25.8905 | − | 53.4073i | −0.841772 | − | 1.73642i | ||||
\(947\) | −1.90507 | −0.0619063 | −0.0309532 | − | 0.999521i | \(-0.509854\pi\) | ||||
−0.0309532 | + | 0.999521i | \(0.509854\pi\) | |||||||
\(948\) | 3.85759 | − | 16.9012i | 0.125289 | − | 0.548926i | ||||
\(949\) | −13.0453 | − | 57.1552i | −0.423468 | − | 1.85534i | ||||
\(950\) | 18.3714 | + | 8.84722i | 0.596049 | + | 0.287042i | ||||
\(951\) | 12.8030 | − | 16.0545i | 0.415166 | − | 0.520602i | ||||
\(952\) | 1.57343 | 0.0509952 | ||||||||
\(953\) | −20.2321 | −0.655380 | −0.327690 | − | 0.944785i | \(-0.606270\pi\) | ||||
−0.327690 | + | 0.944785i | \(0.606270\pi\) | |||||||
\(954\) | −9.03985 | + | 11.3356i | −0.292676 | + | 0.367004i | ||||
\(955\) | −36.6357 | + | 17.6428i | −1.18550 | + | 0.570908i | ||||
\(956\) | −21.8080 | − | 27.3464i | −0.705322 | − | 0.884446i | ||||
\(957\) | −37.7436 | + | 18.1764i | −1.22008 | + | 0.587559i | ||||
\(958\) | −16.9417 | + | 74.2265i | −0.547362 | + | 2.39815i | ||||
\(959\) | −9.29512 | + | 11.6557i | −0.300155 | + | 0.376383i | ||||
\(960\) | 5.98003 | − | 26.2002i | 0.193005 | − | 0.845609i | ||||
\(961\) | 11.8461 | + | 5.70480i | 0.382134 | + | 0.184026i | ||||
\(962\) | −37.8924 | − | 47.5156i | −1.22170 | − | 1.53196i | ||||
\(963\) | 1.17232 | + | 1.47004i | 0.0377774 | + | 0.0473714i | ||||
\(964\) | 1.20384 | + | 5.27436i | 0.0387731 | + | 0.169876i | ||||
\(965\) | −11.3695 | − | 5.47525i | −0.365997 | − | 0.176255i | ||||
\(966\) | 97.8310 | − | 47.1129i | 3.14766 | − | 1.51583i | ||||
\(967\) | 7.03921 | + | 30.8408i | 0.226366 | + | 0.991773i | 0.952576 | + | 0.304300i | \(0.0984226\pi\) |
−0.726211 | + | 0.687472i | \(0.758720\pi\) | |||||||
\(968\) | −0.754386 | − | 3.30518i | −0.0242469 | − | 0.106233i | ||||
\(969\) | −10.4765 | + | 5.04524i | −0.336555 | + | 0.162076i | ||||
\(970\) | −42.2791 | − | 20.3605i | −1.35750 | − | 0.653737i | ||||
\(971\) | −9.31822 | − | 40.8258i | −0.299036 | − | 1.31016i | −0.871566 | − | 0.490278i | \(-0.836895\pi\) |
0.572530 | − | 0.819884i | \(-0.305962\pi\) | |||||||
\(972\) | 11.6642 | + | 14.6264i | 0.374129 | + | 0.469143i | ||||
\(973\) | −6.67736 | − | 8.37314i | −0.214066 | − | 0.268431i | ||||
\(974\) | 76.0376 | + | 36.6178i | 2.43640 | + | 1.17331i | ||||
\(975\) | 2.36460 | − | 10.3600i | 0.0757279 | − | 0.331785i | ||||
\(976\) | 9.68826 | − | 12.1487i | 0.310114 | − | 0.388870i | ||||
\(977\) | 1.31366 | − | 5.75552i | 0.0420277 | − | 0.184135i | −0.949557 | − | 0.313594i | \(-0.898467\pi\) |
0.991585 | + | 0.129459i | \(0.0413240\pi\) | |||||||
\(978\) | −20.8019 | + | 10.0177i | −0.665173 | + | 0.320330i | ||||
\(979\) | −16.2278 | − | 20.3490i | −0.518642 | − | 0.650356i | ||||
\(980\) | −33.2176 | + | 15.9968i | −1.06110 | + | 0.510998i | ||||
\(981\) | 0.192626 | − | 0.241546i | 0.00615009 | − | 0.00771196i | ||||
\(982\) | −88.2810 | −2.81716 | ||||||||
\(983\) | −12.4499 | −0.397091 | −0.198546 | − | 0.980092i | \(-0.563622\pi\) | ||||
−0.198546 | + | 0.980092i | \(0.563622\pi\) | |||||||
\(984\) | −0.871914 | + | 1.09335i | −0.0277956 | + | 0.0348546i | ||||
\(985\) | −2.91435 | − | 1.40348i | −0.0928588 | − | 0.0447184i | ||||
\(986\) | −2.94509 | − | 12.9033i | −0.0937906 | − | 0.410924i | ||||
\(987\) | 5.24491 | − | 22.9795i | 0.166947 | − | 0.731444i | ||||
\(988\) | 100.350 | 3.19256 | ||||||||
\(989\) | 46.7013 | − | 37.4416i | 1.48501 | − | 1.19058i | ||||
\(990\) | −14.8666 | −0.472492 | ||||||||
\(991\) | −10.3876 | + | 45.5111i | −0.329973 | + | 1.44571i | 0.489205 | + | 0.872169i | \(0.337287\pi\) |
−0.819178 | + | 0.573539i | \(0.805570\pi\) | |||||||
\(992\) | −7.62922 | − | 33.4258i | −0.242228 | − | 1.06127i | ||||
\(993\) | 17.4915 | + | 8.42346i | 0.555076 | + | 0.267310i | ||||
\(994\) | 17.3456 | − | 21.7507i | 0.550170 | − | 0.689892i | ||||
\(995\) | 11.7268 | 0.371766 | ||||||||
\(996\) | 50.0100 | 1.58463 | ||||||||
\(997\) | −24.2809 | + | 30.4473i | −0.768985 | + | 0.964276i | −0.999962 | − | 0.00868292i | \(-0.997236\pi\) |
0.230978 | + | 0.972959i | \(0.425808\pi\) | |||||||
\(998\) | 51.9387 | − | 25.0124i | 1.64409 | − | 0.791752i | ||||
\(999\) | 18.1049 | + | 22.7029i | 0.572815 | + | 0.718287i |
(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.k.a.35.6 | ✓ | 180 | |
43.16 | even | 7 | inner | 731.2.k.a.188.6 | yes | 180 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.k.a.35.6 | ✓ | 180 | 1.1 | even | 1 | trivial | |
731.2.k.a.188.6 | yes | 180 | 43.16 | even | 7 | inner |