Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(67,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.z (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(768\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 67.17 | ||
Character | \(\chi\) | \(=\) | 731.67 |
Dual form | 731.2.z.a.611.17 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.792393 | + | 0.993630i | −0.560307 | + | 0.702602i | −0.978614 | − | 0.205703i | \(-0.934052\pi\) |
0.418308 | + | 0.908305i | \(0.362623\pi\) | |||||||
\(3\) | −0.413423 | − | 2.74288i | −0.238690 | − | 1.58360i | −0.711659 | − | 0.702525i | \(-0.752056\pi\) |
0.472969 | − | 0.881079i | \(-0.343182\pi\) | |||||||
\(4\) | 0.0856288 | + | 0.375164i | 0.0428144 | + | 0.187582i | ||||
\(5\) | 1.48606 | + | 2.17965i | 0.664587 | + | 0.974771i | 0.999471 | + | 0.0325114i | \(0.0103505\pi\) |
−0.334884 | + | 0.942259i | \(0.608697\pi\) | |||||||
\(6\) | 3.05300 | + | 1.76265i | 1.24638 | + | 0.719600i | ||||
\(7\) | 0.708079 | − | 0.408809i | 0.267629 | − | 0.154515i | −0.360181 | − | 0.932882i | \(-0.617285\pi\) |
0.627809 | + | 0.778367i | \(0.283952\pi\) | |||||||
\(8\) | −2.73071 | − | 1.31504i | −0.965452 | − | 0.464937i | ||||
\(9\) | −4.48577 | + | 1.38368i | −1.49526 | + | 0.461225i | ||||
\(10\) | −3.34332 | − | 0.250547i | −1.05725 | − | 0.0792299i | ||||
\(11\) | 2.11142 | + | 0.481917i | 0.636616 | + | 0.145303i | 0.528635 | − | 0.848850i | \(-0.322704\pi\) |
0.107981 | + | 0.994153i | \(0.465561\pi\) | |||||||
\(12\) | 0.993631 | − | 0.389971i | 0.286836 | − | 0.112575i | ||||
\(13\) | 0.498181 | + | 6.64777i | 0.138171 | + | 1.84376i | 0.449287 | + | 0.893387i | \(0.351678\pi\) |
−0.311116 | + | 0.950372i | \(0.600703\pi\) | |||||||
\(14\) | −0.154872 | + | 1.02751i | −0.0413912 | + | 0.274613i | ||||
\(15\) | 5.36416 | − | 4.97721i | 1.38502 | − | 1.28511i | ||||
\(16\) | 2.77705 | − | 1.33736i | 0.694263 | − | 0.334339i | ||||
\(17\) | −2.84622 | + | 2.98313i | −0.690309 | + | 0.723515i | ||||
\(18\) | 2.17963 | − | 5.55361i | 0.513744 | − | 1.30900i | ||||
\(19\) | −4.49650 | − | 1.38699i | −1.03157 | − | 0.318197i | −0.267655 | − | 0.963515i | \(-0.586249\pi\) |
−0.763914 | + | 0.645318i | \(0.776725\pi\) | |||||||
\(20\) | −0.690479 | + | 0.744159i | −0.154396 | + | 0.166399i | ||||
\(21\) | −1.41405 | − | 1.77317i | −0.308571 | − | 0.386936i | ||||
\(22\) | −2.15192 | + | 1.71610i | −0.458791 | + | 0.365873i | ||||
\(23\) | 0.451288 | − | 0.486373i | 0.0941001 | − | 0.101416i | −0.684246 | − | 0.729251i | \(-0.739868\pi\) |
0.778346 | + | 0.627836i | \(0.216059\pi\) | |||||||
\(24\) | −2.47806 | + | 8.03368i | −0.505833 | + | 1.63987i | ||||
\(25\) | −0.715803 | + | 1.82384i | −0.143161 | + | 0.364767i | ||||
\(26\) | −7.00018 | − | 4.77264i | −1.37285 | − | 0.935992i | ||||
\(27\) | 2.03918 | + | 4.23439i | 0.392440 | + | 0.814909i | ||||
\(28\) | 0.214003 | + | 0.230640i | 0.0404427 | + | 0.0435869i | ||||
\(29\) | −0.901551 | + | 5.98140i | −0.167414 | + | 1.11072i | 0.734439 | + | 0.678674i | \(0.237445\pi\) |
−0.901853 | + | 0.432043i | \(0.857793\pi\) | |||||||
\(30\) | 0.694983 | + | 9.27390i | 0.126886 | + | 1.69318i | ||||
\(31\) | −2.14452 | + | 0.841664i | −0.385168 | + | 0.151167i | −0.550021 | − | 0.835151i | \(-0.685380\pi\) |
0.164853 | + | 0.986318i | \(0.447285\pi\) | |||||||
\(32\) | 0.477180 | − | 2.09066i | 0.0843543 | − | 0.369581i | ||||
\(33\) | 0.448933 | − | 5.99060i | 0.0781493 | − | 1.04283i | ||||
\(34\) | −0.708802 | − | 5.19190i | −0.121559 | − | 0.890403i | ||||
\(35\) | 1.94331 | + | 0.935850i | 0.328480 | + | 0.158187i | ||||
\(36\) | −0.903217 | − | 1.56442i | −0.150536 | − | 0.260736i | ||||
\(37\) | 4.64999 | + | 2.68467i | 0.764454 | + | 0.441358i | 0.830893 | − | 0.556433i | \(-0.187830\pi\) |
−0.0664387 | + | 0.997791i | \(0.521164\pi\) | |||||||
\(38\) | 4.94115 | − | 3.36882i | 0.801561 | − | 0.546495i | ||||
\(39\) | 18.0281 | − | 4.11479i | 2.88680 | − | 0.658894i | ||||
\(40\) | −1.19167 | − | 7.90623i | −0.188420 | − | 1.25009i | ||||
\(41\) | 2.17041 | + | 1.73084i | 0.338961 | + | 0.270312i | 0.778145 | − | 0.628085i | \(-0.216161\pi\) |
−0.439184 | + | 0.898397i | \(0.644732\pi\) | |||||||
\(42\) | 2.88236 | 0.444757 | ||||||||
\(43\) | 2.61334 | − | 6.01419i | 0.398530 | − | 0.917155i | ||||
\(44\) | 0.833394i | 0.125639i | ||||||||
\(45\) | −9.68207 | − | 7.72119i | −1.44332 | − | 1.15101i | ||||
\(46\) | 0.125677 | + | 0.833812i | 0.0185301 | + | 0.122939i | ||||
\(47\) | 1.69810 | + | 7.43988i | 0.247694 | + | 1.08522i | 0.933822 | + | 0.357737i | \(0.116452\pi\) |
−0.686128 | + | 0.727480i | \(0.740691\pi\) | |||||||
\(48\) | −4.81631 | − | 7.06423i | −0.695175 | − | 1.01963i | ||||
\(49\) | −3.16575 | + | 5.48324i | −0.452250 | + | 0.783320i | ||||
\(50\) | −1.24502 | − | 2.15644i | −0.176072 | − | 0.304966i | ||||
\(51\) | 9.35906 | + | 6.57354i | 1.31053 | + | 0.920480i | ||||
\(52\) | −2.45135 | + | 0.756140i | −0.339941 | + | 0.104858i | ||||
\(53\) | −0.262991 | + | 3.50938i | −0.0361246 | + | 0.482050i | 0.949575 | + | 0.313539i | \(0.101515\pi\) |
−0.985700 | + | 0.168510i | \(0.946104\pi\) | |||||||
\(54\) | −5.82325 | − | 1.32912i | −0.792444 | − | 0.180870i | ||||
\(55\) | 2.08728 | + | 5.31831i | 0.281449 | + | 0.717121i | ||||
\(56\) | −2.47116 | + | 0.185188i | −0.330222 | + | 0.0247467i | ||||
\(57\) | −1.94539 | + | 12.9068i | −0.257673 | + | 1.70955i | ||||
\(58\) | −5.22891 | − | 5.63543i | −0.686590 | − | 0.739968i | ||||
\(59\) | −6.14217 | + | 2.95791i | −0.799643 | + | 0.385088i | −0.788643 | − | 0.614852i | \(-0.789216\pi\) |
−0.0110000 | + | 0.999939i | \(0.503501\pi\) | |||||||
\(60\) | 2.32660 | + | 1.58625i | 0.300363 | + | 0.204784i | ||||
\(61\) | −0.443072 | − | 0.173893i | −0.0567295 | − | 0.0222647i | 0.336807 | − | 0.941574i | \(-0.390653\pi\) |
−0.393536 | + | 0.919309i | \(0.628748\pi\) | |||||||
\(62\) | 0.863004 | − | 2.79779i | 0.109602 | − | 0.355320i | ||||
\(63\) | −2.61062 | + | 2.81358i | −0.328907 | + | 0.354477i | ||||
\(64\) | 5.54279 | + | 6.95044i | 0.692849 | + | 0.868805i | ||||
\(65\) | −13.7495 | + | 10.9649i | −1.70542 | + | 1.36002i | ||||
\(66\) | 5.59671 | + | 5.19299i | 0.688907 | + | 0.639212i | ||||
\(67\) | 8.36864 | + | 2.58138i | 1.02239 | + | 0.315366i | 0.760227 | − | 0.649657i | \(-0.225088\pi\) |
0.262164 | + | 0.965023i | \(0.415564\pi\) | |||||||
\(68\) | −1.36288 | − | 0.812357i | −0.165274 | − | 0.0985128i | ||||
\(69\) | −1.52064 | − | 1.03675i | −0.183063 | − | 0.124810i | ||||
\(70\) | −2.46976 | + | 1.18937i | −0.295192 | + | 0.142157i | ||||
\(71\) | 4.28834 | + | 4.62173i | 0.508932 | + | 0.548498i | 0.934284 | − | 0.356530i | \(-0.116040\pi\) |
−0.425352 | + | 0.905028i | \(0.639850\pi\) | |||||||
\(72\) | 14.0689 | + | 2.12055i | 1.65804 | + | 0.249909i | ||||
\(73\) | 11.0935 | − | 0.831345i | 1.29840 | − | 0.0973016i | 0.592475 | − | 0.805589i | \(-0.298151\pi\) |
0.705924 | + | 0.708287i | \(0.250532\pi\) | |||||||
\(74\) | −6.35219 | + | 2.49305i | −0.738428 | + | 0.289811i | ||||
\(75\) | 5.29850 | + | 1.20935i | 0.611818 | + | 0.139643i | ||||
\(76\) | 0.135318 | − | 1.80569i | 0.0155220 | − | 0.207127i | ||||
\(77\) | 1.69206 | − | 0.521932i | 0.192828 | − | 0.0594796i | ||||
\(78\) | −10.1968 | + | 21.1738i | −1.15456 | + | 2.39746i | ||||
\(79\) | 4.76008 | − | 2.74824i | 0.535551 | − | 0.309201i | −0.207723 | − | 0.978188i | \(-0.566605\pi\) |
0.743274 | + | 0.668987i | \(0.233272\pi\) | |||||||
\(80\) | 7.04185 | + | 4.06561i | 0.787303 | + | 0.454549i | ||||
\(81\) | −0.864494 | + | 0.589402i | −0.0960549 | + | 0.0654891i | ||||
\(82\) | −3.43964 | + | 0.785075i | −0.379844 | + | 0.0866970i | ||||
\(83\) | −5.62426 | + | 0.847722i | −0.617343 | + | 0.0930495i | −0.450266 | − | 0.892894i | \(-0.648671\pi\) |
−0.167077 | + | 0.985944i | \(0.553433\pi\) | |||||||
\(84\) | 0.544145 | − | 0.682336i | 0.0593711 | − | 0.0744490i | ||||
\(85\) | −10.7318 | − | 1.77065i | −1.16403 | − | 0.192054i | ||||
\(86\) | 3.90508 | + | 7.36229i | 0.421096 | + | 0.793897i | ||||
\(87\) | 16.7790 | 1.79890 | ||||||||
\(88\) | −5.13192 | − | 4.09257i | −0.547065 | − | 0.436270i | ||||
\(89\) | −4.58948 | + | 0.691753i | −0.486484 | + | 0.0733256i | −0.387704 | − | 0.921784i | \(-0.626732\pi\) |
−0.0987793 | + | 0.995109i | \(0.531494\pi\) | |||||||
\(90\) | 15.3440 | − | 3.50217i | 1.61740 | − | 0.369161i | ||||
\(91\) | 3.07042 | + | 4.50348i | 0.321868 | + | 0.472093i | ||||
\(92\) | 0.221113 | + | 0.127660i | 0.0230526 | + | 0.0133094i | ||||
\(93\) | 3.19518 | + | 5.53421i | 0.331325 | + | 0.573871i | ||||
\(94\) | −8.73805 | − | 4.20802i | −0.901261 | − | 0.434024i | ||||
\(95\) | −3.65893 | − | 11.8620i | −0.375399 | − | 1.21701i | ||||
\(96\) | −5.93172 | − | 0.444521i | −0.605404 | − | 0.0453687i | ||||
\(97\) | 12.4485 | + | 2.84129i | 1.26395 | + | 0.288489i | 0.801414 | − | 0.598110i | \(-0.204082\pi\) |
0.462538 | + | 0.886599i | \(0.346939\pi\) | |||||||
\(98\) | −2.93979 | − | 7.49047i | −0.296964 | − | 0.756651i | ||||
\(99\) | −10.1381 | + | 0.759748i | −1.01892 | + | 0.0763576i | ||||
\(100\) | −0.745531 | − | 0.112371i | −0.0745531 | − | 0.0112371i | ||||
\(101\) | −6.15085 | + | 5.70716i | −0.612032 | + | 0.567883i | −0.924088 | − | 0.382181i | \(-0.875173\pi\) |
0.312055 | + | 0.950064i | \(0.398983\pi\) | |||||||
\(102\) | −13.9477 | + | 4.09061i | −1.38103 | + | 0.405031i | ||||
\(103\) | −7.79856 | − | 5.31697i | −0.768415 | − | 0.523897i | 0.114503 | − | 0.993423i | \(-0.463472\pi\) |
−0.882919 | + | 0.469526i | \(0.844425\pi\) | |||||||
\(104\) | 7.38170 | − | 18.8083i | 0.723835 | − | 1.84430i | ||||
\(105\) | 1.76352 | − | 5.71718i | 0.172102 | − | 0.557940i | ||||
\(106\) | −3.27863 | − | 3.04212i | −0.318448 | − | 0.295477i | ||||
\(107\) | 1.86057 | − | 1.48376i | 0.179868 | − | 0.143440i | −0.529417 | − | 0.848362i | \(-0.677589\pi\) |
0.709285 | + | 0.704922i | \(0.249018\pi\) | |||||||
\(108\) | −1.41398 | + | 1.12761i | −0.136060 | + | 0.108505i | ||||
\(109\) | 6.28007 | − | 6.76831i | 0.601522 | − | 0.648286i | −0.356731 | − | 0.934207i | \(-0.616109\pi\) |
0.958253 | + | 0.285921i | \(0.0922993\pi\) | |||||||
\(110\) | −6.93839 | − | 2.14021i | −0.661549 | − | 0.204061i | ||||
\(111\) | 5.44133 | − | 13.8643i | 0.516468 | − | 1.31594i | ||||
\(112\) | 1.41965 | − | 2.08224i | 0.134144 | − | 0.196753i | ||||
\(113\) | 1.13348 | + | 2.35370i | 0.106629 | + | 0.221418i | 0.947456 | − | 0.319887i | \(-0.103645\pi\) |
−0.840827 | + | 0.541305i | \(0.817931\pi\) | |||||||
\(114\) | −11.2831 | − | 12.1603i | −1.05676 | − | 1.13891i | ||||
\(115\) | 1.73077 | + | 0.260871i | 0.161395 | + | 0.0243264i | ||||
\(116\) | −2.32121 | + | 0.173950i | −0.215519 | + | 0.0161509i | ||||
\(117\) | −11.4331 | − | 29.1310i | −1.05699 | − | 2.69316i | ||||
\(118\) | 1.92794 | − | 8.44688i | 0.177482 | − | 0.777598i | ||||
\(119\) | −0.795814 | + | 3.27585i | −0.0729522 | + | 0.300297i | ||||
\(120\) | −21.1932 | + | 6.53724i | −1.93467 | + | 0.596765i | ||||
\(121\) | −5.68482 | − | 2.73767i | −0.516802 | − | 0.248879i | ||||
\(122\) | 0.523872 | − | 0.302458i | 0.0474291 | − | 0.0273832i | ||||
\(123\) | 3.85020 | − | 6.66875i | 0.347161 | − | 0.601301i | ||||
\(124\) | −0.499395 | − | 0.732478i | −0.0448470 | − | 0.0657785i | ||||
\(125\) | 7.82045 | − | 1.78497i | 0.699483 | − | 0.159652i | ||||
\(126\) | −0.727017 | − | 4.82345i | −0.0647679 | − | 0.429707i | ||||
\(127\) | 8.40332 | − | 10.5374i | 0.745674 | − | 0.935046i | −0.253807 | − | 0.967255i | \(-0.581683\pi\) |
0.999481 | + | 0.0322088i | \(0.0102541\pi\) | |||||||
\(128\) | −7.00938 | −0.619547 | ||||||||
\(129\) | −17.5766 | − | 4.68168i | −1.54754 | − | 0.412199i | ||||
\(130\) | − | 22.3504i | − | 1.96026i | ||||||
\(131\) | −10.6576 | − | 8.49919i | −0.931163 | − | 0.742578i | 0.0353017 | − | 0.999377i | \(-0.488761\pi\) |
−0.966465 | + | 0.256799i | \(0.917332\pi\) | |||||||
\(132\) | 2.28590 | − | 0.344544i | 0.198962 | − | 0.0299887i | ||||
\(133\) | −3.75089 | + | 0.856117i | −0.325244 | + | 0.0742347i | ||||
\(134\) | −9.19619 | + | 6.26986i | −0.794430 | + | 0.541633i | ||||
\(135\) | −6.19917 | + | 10.7373i | −0.533539 | + | 0.924117i | ||||
\(136\) | 11.6951 | − | 4.40317i | 1.00285 | − | 0.377568i | ||||
\(137\) | 12.1943 | + | 5.87248i | 1.04183 | + | 0.501720i | 0.874928 | − | 0.484253i | \(-0.160909\pi\) |
0.166904 | + | 0.985973i | \(0.446623\pi\) | |||||||
\(138\) | 2.23509 | − | 0.689434i | 0.190264 | − | 0.0586886i | ||||
\(139\) | −5.23956 | − | 0.392651i | −0.444414 | − | 0.0333042i | −0.149356 | − | 0.988784i | \(-0.547720\pi\) |
−0.295058 | + | 0.955479i | \(0.595339\pi\) | |||||||
\(140\) | −0.184694 | + | 0.809197i | −0.0156095 | + | 0.0683896i | ||||
\(141\) | 19.7047 | − | 7.73351i | 1.65943 | − | 0.651279i | ||||
\(142\) | −7.99033 | + | 0.598793i | −0.670534 | + | 0.0502496i | ||||
\(143\) | −2.15180 | + | 14.2763i | −0.179943 | + | 1.19384i | ||||
\(144\) | −10.6067 | + | 9.84161i | −0.883895 | + | 0.820135i | ||||
\(145\) | −14.3771 | + | 6.92366i | −1.19396 | + | 0.574979i | ||||
\(146\) | −7.96439 | + | 11.6816i | −0.659138 | + | 0.966777i | ||||
\(147\) | 16.3487 | + | 6.41638i | 1.34842 | + | 0.529214i | ||||
\(148\) | −0.609021 | + | 1.97440i | −0.0500612 | + | 0.162294i | ||||
\(149\) | −15.2813 | − | 14.1790i | −1.25189 | − | 1.16159i | −0.979944 | − | 0.199274i | \(-0.936142\pi\) |
−0.271948 | − | 0.962312i | \(-0.587668\pi\) | |||||||
\(150\) | −5.40014 | + | 4.30647i | −0.440919 | + | 0.351621i | ||||
\(151\) | −6.50165 | − | 8.15281i | −0.529097 | − | 0.663466i | 0.443416 | − | 0.896316i | \(-0.353766\pi\) |
−0.972513 | + | 0.232850i | \(0.925195\pi\) | |||||||
\(152\) | 10.4547 | + | 9.70054i | 0.847988 | + | 0.786818i | ||||
\(153\) | 8.63978 | − | 17.3199i | 0.698485 | − | 1.40023i | ||||
\(154\) | −0.822171 | + | 2.09486i | −0.0662524 | + | 0.168808i | ||||
\(155\) | −5.02143 | − | 3.42355i | −0.403331 | − | 0.274987i | ||||
\(156\) | 3.08745 | + | 6.41115i | 0.247194 | + | 0.513303i | ||||
\(157\) | 15.2683 | − | 14.1669i | 1.21854 | − | 1.13064i | 0.231055 | − | 0.972941i | \(-0.425782\pi\) |
0.987487 | − | 0.157701i | \(-0.0504081\pi\) | |||||||
\(158\) | −1.04113 | + | 6.90745i | −0.0828279 | + | 0.549527i | ||||
\(159\) | 9.73453 | − | 0.729502i | 0.771998 | − | 0.0578533i | ||||
\(160\) | 5.26604 | − | 2.06677i | 0.416317 | − | 0.163392i | ||||
\(161\) | 0.120714 | − | 0.528881i | 0.00951357 | − | 0.0416817i | ||||
\(162\) | 0.0993719 | − | 1.32603i | 0.00780739 | − | 0.104182i | ||||
\(163\) | −6.86679 | − | 22.2616i | −0.537848 | − | 1.74366i | −0.660116 | − | 0.751164i | \(-0.729493\pi\) |
0.122268 | − | 0.992497i | \(-0.460983\pi\) | |||||||
\(164\) | −0.463501 | + | 0.962470i | −0.0361934 | + | 0.0751563i | ||||
\(165\) | 13.7246 | − | 7.92389i | 1.06846 | − | 0.616874i | ||||
\(166\) | 3.61431 | − | 6.26017i | 0.280525 | − | 0.485883i | ||||
\(167\) | 7.39019 | + | 10.8394i | 0.571870 | + | 0.838780i | 0.997822 | − | 0.0659662i | \(-0.0210129\pi\) |
−0.425951 | + | 0.904746i | \(0.640061\pi\) | |||||||
\(168\) | 1.52958 | + | 6.70154i | 0.118010 | + | 0.517035i | ||||
\(169\) | −31.0898 | + | 4.68604i | −2.39153 | + | 0.360465i | ||||
\(170\) | 10.2632 | − | 9.26043i | 0.787152 | − | 0.710242i | ||||
\(171\) | 22.0894 | 1.68922 | ||||||||
\(172\) | 2.48009 | + | 0.465444i | 0.189105 | + | 0.0354898i | ||||
\(173\) | − | 21.4294i | − | 1.62925i | −0.579988 | − | 0.814625i | \(-0.696943\pi\) | ||
0.579988 | − | 0.814625i | \(-0.303057\pi\) | |||||||
\(174\) | −13.2956 | + | 16.6721i | −1.00793 | + | 1.26391i | ||||
\(175\) | 0.238757 | + | 1.58405i | 0.0180483 | + | 0.119743i | ||||
\(176\) | 6.50801 | − | 1.48541i | 0.490559 | − | 0.111967i | ||||
\(177\) | 10.6525 | + | 15.6244i | 0.800693 | + | 1.17440i | ||||
\(178\) | 2.94933 | − | 5.10838i | 0.221061 | − | 0.382890i | ||||
\(179\) | 9.33848 | + | 16.1747i | 0.697991 | + | 1.20896i | 0.969162 | + | 0.246425i | \(0.0792558\pi\) |
−0.271171 | + | 0.962531i | \(0.587411\pi\) | |||||||
\(180\) | 2.06765 | − | 4.29352i | 0.154114 | − | 0.320020i | ||||
\(181\) | 4.45006 | + | 14.4267i | 0.330770 | + | 1.07233i | 0.956363 | + | 0.292181i | \(0.0943811\pi\) |
−0.625592 | + | 0.780150i | \(0.715143\pi\) | |||||||
\(182\) | −6.90778 | − | 0.517666i | −0.512038 | − | 0.0383720i | ||||
\(183\) | −0.293791 | + | 1.28718i | −0.0217177 | + | 0.0951514i | ||||
\(184\) | −1.87194 | + | 0.734681i | −0.138001 | + | 0.0541614i | ||||
\(185\) | 1.05852 | + | 14.1250i | 0.0778239 | + | 1.03849i | ||||
\(186\) | −8.03080 | − | 1.21045i | −0.588847 | − | 0.0887544i | ||||
\(187\) | −7.44717 | + | 4.92698i | −0.544591 | + | 0.360297i | ||||
\(188\) | −2.64577 | + | 1.27414i | −0.192963 | + | 0.0929259i | ||||
\(189\) | 3.17496 | + | 2.16465i | 0.230944 | + | 0.157455i | ||||
\(190\) | 14.6857 | + | 5.76372i | 1.06541 | + | 0.418144i | ||||
\(191\) | 0.693566 | + | 0.213937i | 0.0501847 | + | 0.0154799i | 0.319746 | − | 0.947503i | \(-0.396402\pi\) |
−0.269561 | + | 0.962983i | \(0.586879\pi\) | |||||||
\(192\) | 16.7727 | − | 18.0767i | 1.21047 | − | 1.30457i | ||||
\(193\) | 10.4561 | − | 8.33845i | 0.752646 | − | 0.600215i | −0.170189 | − | 0.985411i | \(-0.554438\pi\) |
0.922835 | + | 0.385196i | \(0.125866\pi\) | |||||||
\(194\) | −12.6873 | + | 10.1178i | −0.910894 | + | 0.726414i | ||||
\(195\) | 35.7597 | + | 33.1801i | 2.56081 | + | 2.37608i | ||||
\(196\) | −2.32820 | − | 0.718153i | −0.166300 | − | 0.0512967i | ||||
\(197\) | −3.49768 | − | 1.37274i | −0.249200 | − | 0.0978037i | 0.237454 | − | 0.971399i | \(-0.423687\pi\) |
−0.486653 | + | 0.873595i | \(0.661782\pi\) | |||||||
\(198\) | 7.27848 | − | 10.6756i | 0.517259 | − | 0.758680i | ||||
\(199\) | −0.890678 | − | 1.84951i | −0.0631385 | − | 0.131108i | 0.867012 | − | 0.498288i | \(-0.166038\pi\) |
−0.930150 | + | 0.367180i | \(0.880323\pi\) | |||||||
\(200\) | 4.35307 | − | 4.03906i | 0.307808 | − | 0.285604i | ||||
\(201\) | 3.62064 | − | 24.0214i | 0.255380 | − | 1.69434i | ||||
\(202\) | −0.796907 | − | 10.6340i | −0.0560702 | − | 0.748204i | ||||
\(203\) | 1.80688 | + | 4.60386i | 0.126818 | + | 0.323128i | ||||
\(204\) | −1.66475 | + | 4.07407i | −0.116556 | + | 0.285242i | ||||
\(205\) | −0.547276 | + | 7.30288i | −0.0382234 | + | 0.510056i | ||||
\(206\) | 11.4626 | − | 3.53575i | 0.798639 | − | 0.246348i | ||||
\(207\) | −1.35139 | + | 2.80619i | −0.0939282 | + | 0.195044i | ||||
\(208\) | 10.2739 | + | 17.7949i | 0.712368 | + | 1.23386i | ||||
\(209\) | −8.82558 | − | 5.09545i | −0.610478 | − | 0.352460i | ||||
\(210\) | 4.28336 | + | 6.28254i | 0.295580 | + | 0.433536i | ||||
\(211\) | −23.0645 | + | 5.26432i | −1.58783 | + | 0.362411i | −0.923065 | − | 0.384645i | \(-0.874324\pi\) |
−0.664761 | + | 0.747056i | \(0.731467\pi\) | |||||||
\(212\) | −1.33911 | + | 0.201839i | −0.0919706 | + | 0.0138623i | ||||
\(213\) | 10.9040 | − | 13.6731i | 0.747127 | − | 0.936867i | ||||
\(214\) | 3.02444i | 0.206747i | ||||||||
\(215\) | 16.9924 | − | 3.24129i | 1.15887 | − | 0.221054i | ||||
\(216\) | − | 14.2445i | − | 0.969215i | ||||||
\(217\) | −1.17441 | + | 1.47267i | −0.0797243 | + | 0.0999711i | ||||
\(218\) | 1.74891 | + | 11.6032i | 0.118451 | + | 0.785870i | ||||
\(219\) | −6.86660 | − | 30.0846i | −0.464002 | − | 2.03293i | ||||
\(220\) | −1.81651 | + | 1.23848i | −0.122469 | + | 0.0834980i | ||||
\(221\) | −21.2491 | − | 17.4348i | −1.42937 | − | 1.17279i | ||||
\(222\) | 9.46429 | + | 16.3926i | 0.635202 | + | 1.10020i | ||||
\(223\) | 7.88755 | + | 3.79844i | 0.528189 | + | 0.254363i | 0.678920 | − | 0.734212i | \(-0.262448\pi\) |
−0.150731 | + | 0.988575i | \(0.548163\pi\) | |||||||
\(224\) | −0.516802 | − | 1.67543i | −0.0345303 | − | 0.111944i | ||||
\(225\) | 0.687327 | − | 9.17174i | 0.0458218 | − | 0.611449i | ||||
\(226\) | −3.23688 | − | 0.738796i | −0.215314 | − | 0.0491440i | ||||
\(227\) | −11.3883 | + | 4.46959i | −0.755870 | + | 0.296657i | −0.711810 | − | 0.702372i | \(-0.752124\pi\) |
−0.0440599 | + | 0.999029i | \(0.514029\pi\) | |||||||
\(228\) | −5.00875 | + | 0.375354i | −0.331713 | + | 0.0248584i | ||||
\(229\) | 1.92730 | + | 0.290494i | 0.127360 | + | 0.0191964i | 0.212413 | − | 0.977180i | \(-0.431868\pi\) |
−0.0850530 | + | 0.996376i | \(0.527106\pi\) | |||||||
\(230\) | −1.63066 | + | 1.51303i | −0.107522 | + | 0.0997662i | ||||
\(231\) | −2.13113 | − | 4.42534i | −0.140218 | − | 0.291166i | ||||
\(232\) | 10.3277 | − | 15.1479i | 0.678044 | − | 0.994507i | ||||
\(233\) | 8.13334 | + | 3.19210i | 0.532833 | + | 0.209122i | 0.616475 | − | 0.787374i | \(-0.288560\pi\) |
−0.0836422 | + | 0.996496i | \(0.526655\pi\) | |||||||
\(234\) | 38.0050 | + | 11.7230i | 2.48446 | + | 0.766355i | ||||
\(235\) | −13.6929 | + | 14.7574i | −0.893224 | + | 0.962667i | ||||
\(236\) | −1.63565 | − | 2.05104i | −0.106472 | − | 0.133511i | ||||
\(237\) | −9.50602 | − | 11.9202i | −0.617482 | − | 0.774298i | ||||
\(238\) | −2.62438 | − | 3.38651i | −0.170114 | − | 0.219515i | ||||
\(239\) | −4.80018 | − | 1.48066i | −0.310498 | − | 0.0957759i | 0.135590 | − | 0.990765i | \(-0.456707\pi\) |
−0.446088 | + | 0.894989i | \(0.647183\pi\) | |||||||
\(240\) | 8.24024 | − | 20.9958i | 0.531905 | − | 1.35527i | ||||
\(241\) | 15.1937 | − | 22.2850i | 0.978711 | − | 1.43551i | 0.0800860 | − | 0.996788i | \(-0.474480\pi\) |
0.898625 | − | 0.438718i | \(-0.144567\pi\) | |||||||
\(242\) | 7.22485 | − | 3.47930i | 0.464431 | − | 0.223658i | ||||
\(243\) | 11.5641 | + | 12.4632i | 0.741840 | + | 0.799513i | ||||
\(244\) | 0.0272987 | − | 0.181115i | 0.00174762 | − | 0.0115947i | ||||
\(245\) | −16.6561 | + | 1.24820i | −1.06412 | + | 0.0797445i | ||||
\(246\) | 3.57539 | + | 9.10995i | 0.227959 | + | 0.580829i | ||||
\(247\) | 6.98030 | − | 30.5827i | 0.444146 | − | 1.94593i | ||||
\(248\) | 6.96289 | + | 0.521797i | 0.442144 | + | 0.0331341i | ||||
\(249\) | 4.65040 | + | 15.0762i | 0.294707 | + | 0.955417i | ||||
\(250\) | −4.42328 | + | 9.18503i | −0.279753 | + | 0.580912i | ||||
\(251\) | 3.45317 | + | 5.98106i | 0.217962 | + | 0.377521i | 0.954185 | − | 0.299218i | \(-0.0967258\pi\) |
−0.736223 | + | 0.676739i | \(0.763392\pi\) | |||||||
\(252\) | −1.27910 | − | 0.738487i | −0.0805755 | − | 0.0465203i | ||||
\(253\) | 1.18725 | − | 0.809452i | 0.0746417 | − | 0.0508898i | ||||
\(254\) | 3.81157 | + | 16.6996i | 0.239159 | + | 1.04783i | ||||
\(255\) | −0.419897 | + | 30.1682i | −0.0262950 | + | 1.88921i | ||||
\(256\) | −5.53140 | + | 6.93615i | −0.345712 | + | 0.433509i | ||||
\(257\) | −13.7703 | −0.858970 | −0.429485 | − | 0.903074i | \(-0.641305\pi\) | ||||
−0.429485 | + | 0.903074i | \(0.641305\pi\) | |||||||
\(258\) | 18.5795 | − | 13.7549i | 1.15671 | − | 0.856345i | ||||
\(259\) | 4.39008 | 0.272786 | ||||||||
\(260\) | −5.29098 | − | 4.21942i | −0.328133 | − | 0.261677i | ||||
\(261\) | −4.23217 | − | 28.0786i | −0.261965 | − | 1.73802i | ||||
\(262\) | 16.8901 | − | 3.85506i | 1.04347 | − | 0.238166i | ||||
\(263\) | −0.484323 | + | 0.330206i | −0.0298647 | + | 0.0203614i | −0.578160 | − | 0.815923i | \(-0.696229\pi\) |
0.548296 | + | 0.836285i | \(0.315277\pi\) | |||||||
\(264\) | −9.10379 | + | 15.7682i | −0.560299 | + | 0.970467i | ||||
\(265\) | −8.04004 | + | 4.64192i | −0.493896 | + | 0.285151i | ||||
\(266\) | 2.12152 | − | 4.40538i | 0.130079 | − | 0.270111i | ||||
\(267\) | 3.79479 | + | 12.3024i | 0.232238 | + | 0.752896i | ||||
\(268\) | −0.251846 | + | 3.36065i | −0.0153840 | + | 0.205285i | ||||
\(269\) | 20.4404 | + | 4.66539i | 1.24627 | + | 0.284454i | 0.794272 | − | 0.607563i | \(-0.207853\pi\) |
0.452003 | + | 0.892017i | \(0.350710\pi\) | |||||||
\(270\) | −5.75670 | − | 14.6678i | −0.350341 | − | 0.892655i | ||||
\(271\) | 1.48929 | + | 19.8732i | 0.0904681 | + | 1.20721i | 0.839006 | + | 0.544121i | \(0.183137\pi\) |
−0.748538 | + | 0.663091i | \(0.769244\pi\) | |||||||
\(272\) | −3.91458 | + | 12.0907i | −0.237356 | + | 0.733107i | ||||
\(273\) | 11.0831 | − | 10.2836i | 0.670782 | − | 0.622395i | ||||
\(274\) | −15.4978 | + | 7.46334i | −0.936255 | + | 0.450877i | ||||
\(275\) | −2.39029 | + | 3.50592i | −0.144140 | + | 0.211415i | ||||
\(276\) | 0.258742 | − | 0.659265i | 0.0155745 | − | 0.0396831i | ||||
\(277\) | 9.48736 | − | 30.7573i | 0.570040 | − | 1.84803i | 0.0414631 | − | 0.999140i | \(-0.486798\pi\) |
0.528577 | − | 0.848885i | \(-0.322726\pi\) | |||||||
\(278\) | 4.54195 | − | 4.89505i | 0.272408 | − | 0.293586i | ||||
\(279\) | 8.45525 | − | 6.74283i | 0.506202 | − | 0.403683i | ||||
\(280\) | −4.07594 | − | 5.11107i | −0.243584 | − | 0.305445i | ||||
\(281\) | −4.05167 | − | 3.75940i | −0.241702 | − | 0.224267i | 0.550015 | − | 0.835155i | \(-0.314622\pi\) |
−0.791717 | + | 0.610888i | \(0.790813\pi\) | |||||||
\(282\) | −7.92960 | + | 25.7071i | −0.472201 | + | 1.53084i | ||||
\(283\) | −15.9546 | − | 6.26173i | −0.948404 | − | 0.372221i | −0.159818 | − | 0.987146i | \(-0.551091\pi\) |
−0.788585 | + | 0.614925i | \(0.789186\pi\) | |||||||
\(284\) | −1.36670 | + | 2.00458i | −0.0810988 | + | 0.118950i | ||||
\(285\) | −31.0233 | + | 14.9400i | −1.83766 | + | 0.884971i | ||||
\(286\) | −12.4803 | − | 13.4505i | −0.737974 | − | 0.795347i | ||||
\(287\) | 2.24441 | + | 0.338290i | 0.132483 | + | 0.0199686i | ||||
\(288\) | 0.752281 | + | 10.0385i | 0.0443286 | + | 0.591524i | ||||
\(289\) | −0.798104 | − | 16.9813i | −0.0469473 | − | 0.998897i | ||||
\(290\) | 4.51279 | − | 19.7718i | 0.265000 | − | 1.16104i | ||||
\(291\) | 2.64682 | − | 35.3194i | 0.155159 | − | 2.07046i | ||||
\(292\) | 1.26182 | + | 4.09071i | 0.0738422 | + | 0.239391i | ||||
\(293\) | −13.8306 | − | 6.66048i | −0.807994 | − | 0.389109i | −0.0161777 | − | 0.999869i | \(-0.505150\pi\) |
−0.791816 | + | 0.610760i | \(0.790864\pi\) | |||||||
\(294\) | −19.3301 | + | 11.1602i | −1.12735 | + | 0.650878i | ||||
\(295\) | −15.5749 | − | 8.99216i | −0.906805 | − | 0.523544i | ||||
\(296\) | −9.16732 | − | 13.4460i | −0.532840 | − | 0.781532i | ||||
\(297\) | 2.26492 | + | 9.92328i | 0.131424 | + | 0.575807i | ||||
\(298\) | 26.1974 | − | 3.94863i | 1.51758 | − | 0.228738i | ||||
\(299\) | 3.45812 | + | 2.75776i | 0.199988 | + | 0.159485i | ||||
\(300\) | 2.09136i | 0.120745i | ||||||||
\(301\) | −0.608207 | − | 5.32688i | −0.0350565 | − | 0.307036i | ||||
\(302\) | 13.2527 | 0.762609 | ||||||||
\(303\) | 18.1970 | + | 14.5116i | 1.04539 | + | 0.833669i | ||||
\(304\) | −14.3419 | + | 2.16170i | −0.822565 | + | 0.123982i | ||||
\(305\) | −0.279406 | − | 1.22416i | −0.0159987 | − | 0.0700951i | ||||
\(306\) | 10.3634 | + | 22.3089i | 0.592437 | + | 1.27531i | ||||
\(307\) | −1.07045 | + | 1.85408i | −0.0610941 | + | 0.105818i | −0.894955 | − | 0.446157i | \(-0.852792\pi\) |
0.833861 | + | 0.551975i | \(0.186126\pi\) | |||||||
\(308\) | 0.340699 | + | 0.590108i | 0.0194131 | + | 0.0336245i | ||||
\(309\) | −11.3597 | + | 23.5887i | −0.646232 | + | 1.34191i | ||||
\(310\) | 7.38070 | − | 2.27664i | 0.419195 | − | 0.129305i | ||||
\(311\) | −6.05874 | − | 0.454040i | −0.343560 | − | 0.0257462i | −0.0981669 | − | 0.995170i | \(-0.531298\pi\) |
−0.245393 | + | 0.969424i | \(0.578917\pi\) | |||||||
\(312\) | −54.6406 | − | 12.4714i | −3.09341 | − | 0.706052i | ||||
\(313\) | −20.8011 | + | 8.16384i | −1.17575 | + | 0.461447i | −0.871142 | − | 0.491031i | \(-0.836620\pi\) |
−0.304607 | + | 0.952478i | \(0.598525\pi\) | |||||||
\(314\) | 1.97817 | + | 26.3968i | 0.111634 | + | 1.48966i | ||||
\(315\) | −10.0122 | − | 1.50909i | −0.564121 | − | 0.0850276i | ||||
\(316\) | 1.43864 | + | 1.55049i | 0.0809299 | + | 0.0872216i | ||||
\(317\) | 12.9600 | + | 26.9117i | 0.727904 | + | 1.51151i | 0.854442 | + | 0.519547i | \(0.173899\pi\) |
−0.126537 | + | 0.991962i | \(0.540386\pi\) | |||||||
\(318\) | −6.98872 | + | 10.2506i | −0.391908 | + | 0.574824i | ||||
\(319\) | −4.78608 | + | 12.1947i | −0.267969 | + | 0.682775i | ||||
\(320\) | −6.91262 | + | 22.4101i | −0.386427 | + | 1.25277i | ||||
\(321\) | −4.83898 | − | 4.48992i | −0.270085 | − | 0.250603i | ||||
\(322\) | 0.429860 | + | 0.539027i | 0.0239551 | + | 0.0300388i | ||||
\(323\) | 16.9356 | − | 9.46598i | 0.942321 | − | 0.526701i | ||||
\(324\) | −0.295148 | − | 0.273858i | −0.0163971 | − | 0.0152143i | ||||
\(325\) | −12.4810 | − | 3.84989i | −0.692323 | − | 0.213553i | ||||
\(326\) | 27.5610 | + | 10.8169i | 1.52646 | + | 0.599092i | ||||
\(327\) | −21.1610 | − | 14.4273i | −1.17021 | − | 0.797833i | ||||
\(328\) | −3.65063 | − | 7.58061i | −0.201572 | − | 0.418569i | ||||
\(329\) | 4.24388 | + | 4.57382i | 0.233973 | + | 0.252163i | ||||
\(330\) | −3.00185 | + | 19.9160i | −0.165247 | + | 1.09634i | ||||
\(331\) | 2.20373 | + | 29.4067i | 0.121128 | + | 1.61634i | 0.644753 | + | 0.764391i | \(0.276960\pi\) |
−0.523625 | + | 0.851949i | \(0.675421\pi\) | |||||||
\(332\) | −0.799634 | − | 2.03743i | −0.0438856 | − | 0.111819i | ||||
\(333\) | −24.5735 | − | 5.60874i | −1.34662 | − | 0.307357i | ||||
\(334\) | −16.6263 | − | 1.24597i | −0.909752 | − | 0.0681765i | ||||
\(335\) | 6.80980 | + | 22.0768i | 0.372059 | + | 1.20619i | ||||
\(336\) | −6.29825 | − | 3.03308i | −0.343598 | − | 0.165468i | ||||
\(337\) | −17.2329 | + | 9.94939i | −0.938733 | + | 0.541978i | −0.889563 | − | 0.456812i | \(-0.848991\pi\) |
−0.0491703 | + | 0.998790i | \(0.515658\pi\) | |||||||
\(338\) | 19.9792 | − | 34.6050i | 1.08673 | − | 1.88226i | ||||
\(339\) | 5.98733 | − | 4.08209i | 0.325187 | − | 0.221709i | ||||
\(340\) | −0.254670 | − | 4.17782i | −0.0138114 | − | 0.226574i | ||||
\(341\) | −4.93359 | + | 0.743620i | −0.267169 | + | 0.0402693i | ||||
\(342\) | −17.5035 | + | 21.9487i | −0.946481 | + | 1.18685i | ||||
\(343\) | 10.9001i | 0.588549i | ||||||||
\(344\) | −15.0452 | + | 12.9864i | −0.811181 | + | 0.700177i | ||||
\(345\) | − | 4.85514i | − | 0.261392i | ||||||
\(346\) | 21.2929 | + | 16.9805i | 1.14472 | + | 0.912880i | ||||
\(347\) | 2.37242 | + | 15.7400i | 0.127358 | + | 0.844966i | 0.957712 | + | 0.287729i | \(0.0929004\pi\) |
−0.830354 | + | 0.557237i | \(0.811862\pi\) | |||||||
\(348\) | 1.43677 | + | 6.29488i | 0.0770187 | + | 0.337441i | ||||
\(349\) | 8.04201 | − | 5.48295i | 0.430479 | − | 0.293496i | −0.328630 | − | 0.944459i | \(-0.606587\pi\) |
0.759110 | + | 0.650963i | \(0.225635\pi\) | |||||||
\(350\) | −1.76314 | − | 1.01795i | −0.0942440 | − | 0.0544118i | ||||
\(351\) | −27.1334 | + | 15.6655i | −1.44827 | + | 0.836161i | ||||
\(352\) | 2.01505 | − | 4.18430i | 0.107403 | − | 0.223024i | ||||
\(353\) | 18.0138 | − | 5.55652i | 0.958778 | − | 0.295744i | 0.224409 | − | 0.974495i | \(-0.427955\pi\) |
0.734368 | + | 0.678751i | \(0.237479\pi\) | |||||||
\(354\) | −23.9658 | − | 1.79599i | −1.27377 | − | 0.0954559i | ||||
\(355\) | −3.70103 | + | 16.2153i | −0.196430 | + | 0.860617i | ||||
\(356\) | −0.652512 | − | 1.66257i | −0.0345831 | − | 0.0881163i | ||||
\(357\) | 9.31428 | + | 0.828514i | 0.492964 | + | 0.0438496i | ||||
\(358\) | −23.4714 | − | 3.53775i | −1.24050 | − | 0.186976i | ||||
\(359\) | 19.7008 | − | 18.2797i | 1.03977 | − | 0.964764i | 0.0403611 | − | 0.999185i | \(-0.487149\pi\) |
0.999407 | + | 0.0344209i | \(0.0109587\pi\) | |||||||
\(360\) | 16.2852 | + | 33.8166i | 0.858307 | + | 1.78229i | ||||
\(361\) | 2.59627 | + | 1.77011i | 0.136646 | + | 0.0931635i | ||||
\(362\) | −17.8610 | − | 7.00994i | −0.938756 | − | 0.368434i | ||||
\(363\) | −5.15886 | + | 16.7246i | −0.270770 | + | 0.877815i | ||||
\(364\) | −1.42663 | + | 1.53754i | −0.0747757 | + | 0.0805890i | ||||
\(365\) | 18.2977 | + | 22.9446i | 0.957747 | + | 1.20098i | ||||
\(366\) | −1.04619 | − | 1.31188i | −0.0546850 | − | 0.0685729i | ||||
\(367\) | 10.9160 | − | 11.7647i | 0.569813 | − | 0.614112i | −0.380738 | − | 0.924683i | \(-0.624330\pi\) |
0.950550 | + | 0.310571i | \(0.100520\pi\) | |||||||
\(368\) | 0.602796 | − | 1.95422i | 0.0314229 | − | 0.101871i | ||||
\(369\) | −12.1309 | − | 4.76102i | −0.631508 | − | 0.247849i | ||||
\(370\) | −14.8738 | − | 10.1408i | −0.773249 | − | 0.527193i | ||||
\(371\) | 1.24845 | + | 2.59243i | 0.0648161 | + | 0.134592i | ||||
\(372\) | −1.80264 | + | 1.67261i | −0.0934625 | + | 0.0867206i | ||||
\(373\) | 23.0100 | + | 3.46819i | 1.19141 | + | 0.179576i | 0.714666 | − | 0.699466i | \(-0.246579\pi\) |
0.476744 | + | 0.879042i | \(0.341817\pi\) | |||||||
\(374\) | 1.00549 | − | 11.3038i | 0.0519925 | − | 0.584507i | ||||
\(375\) | −8.12911 | − | 20.7126i | −0.419785 | − | 1.06960i | ||||
\(376\) | 5.14671 | − | 22.5492i | 0.265421 | − | 1.16289i | ||||
\(377\) | −40.2121 | − | 3.01348i | −2.07103 | − | 0.155202i | ||||
\(378\) | −4.66668 | + | 1.43948i | −0.240028 | + | 0.0740388i | ||||
\(379\) | 11.2380 | − | 23.3360i | 0.577258 | − | 1.19869i | −0.384076 | − | 0.923302i | \(-0.625480\pi\) |
0.961334 | − | 0.275387i | \(-0.0888059\pi\) | |||||||
\(380\) | 4.13688 | − | 2.38843i | 0.212217 | − | 0.122524i | ||||
\(381\) | −32.3771 | − | 18.6929i | −1.65873 | − | 0.957667i | ||||
\(382\) | −0.762151 | + | 0.519626i | −0.0389951 | + | 0.0265864i | ||||
\(383\) | −6.54300 | − | 28.6667i | −0.334332 | − | 1.46480i | −0.810651 | − | 0.585530i | \(-0.800887\pi\) |
0.476319 | − | 0.879272i | \(-0.341971\pi\) | |||||||
\(384\) | 2.89784 | + | 19.2259i | 0.147880 | + | 0.981117i | ||||
\(385\) | 3.65214 | + | 2.91248i | 0.186130 | + | 0.148434i | ||||
\(386\) | 16.9968i | 0.865115i | ||||||||
\(387\) | −3.40114 | + | 30.5943i | −0.172890 | + | 1.55519i | ||||
\(388\) | 4.91352i | 0.249446i | ||||||||
\(389\) | 1.45853 | − | 1.82894i | 0.0739503 | − | 0.0927307i | −0.743480 | − | 0.668758i | \(-0.766826\pi\) |
0.817431 | + | 0.576027i | \(0.195398\pi\) | |||||||
\(390\) | −61.3045 | + | 9.24017i | −3.10428 | + | 0.467894i | ||||
\(391\) | 0.166449 | + | 2.73057i | 0.00841769 | + | 0.138091i | ||||
\(392\) | 15.8554 | − | 10.8100i | 0.800820 | − | 0.545990i | ||||
\(393\) | −18.9062 | + | 32.7464i | −0.953690 | + | 1.65184i | ||||
\(394\) | 4.13554 | − | 2.38765i | 0.208345 | − | 0.120288i | ||||
\(395\) | 13.0640 | + | 6.29128i | 0.657321 | + | 0.316549i | ||||
\(396\) | −1.15315 | − | 3.73841i | −0.0579478 | − | 0.187862i | ||||
\(397\) | 14.4986 | + | 1.08652i | 0.727664 | + | 0.0545309i | 0.433411 | − | 0.901197i | \(-0.357310\pi\) |
0.294253 | + | 0.955727i | \(0.404929\pi\) | |||||||
\(398\) | 2.54350 | + | 0.580536i | 0.127494 | + | 0.0290997i | ||||
\(399\) | 3.89893 | + | 9.93432i | 0.195191 | + | 0.497338i | ||||
\(400\) | 0.451299 | + | 6.02217i | 0.0225650 | + | 0.301108i | ||||
\(401\) | 2.36992 | − | 15.7234i | 0.118348 | − | 0.785190i | −0.848381 | − | 0.529387i | \(-0.822422\pi\) |
0.966729 | − | 0.255803i | \(-0.0823399\pi\) | |||||||
\(402\) | 20.9994 | + | 22.6320i | 1.04735 | + | 1.12878i | ||||
\(403\) | −6.66355 | − | 13.8370i | −0.331935 | − | 0.689270i | ||||
\(404\) | −2.66781 | − | 1.81888i | −0.132729 | − | 0.0904928i | ||||
\(405\) | −2.56938 | − | 1.00841i | −0.127674 | − | 0.0501083i | ||||
\(406\) | −6.00630 | − | 1.85270i | −0.298088 | − | 0.0919478i | ||||
\(407\) | 8.52428 | + | 7.90937i | 0.422533 | + | 0.392053i | ||||
\(408\) | −16.9124 | − | 30.2580i | −0.837289 | − | 1.49799i | ||||
\(409\) | 17.1006 | + | 21.4434i | 0.845568 | + | 1.06031i | 0.997412 | + | 0.0719045i | \(0.0229077\pi\) |
−0.151843 | + | 0.988405i | \(0.548521\pi\) | |||||||
\(410\) | −6.82271 | − | 6.33055i | −0.336949 | − | 0.312643i | ||||
\(411\) | 11.0661 | − | 35.8755i | 0.545851 | − | 1.76961i | ||||
\(412\) | 1.32696 | − | 3.38103i | 0.0653744 | − | 0.166571i | ||||
\(413\) | −3.13992 | + | 4.60541i | −0.154505 | + | 0.226618i | ||||
\(414\) | −1.71748 | − | 3.56639i | −0.0844097 | − | 0.175279i | ||||
\(415\) | −10.2058 | − | 10.9992i | −0.500981 | − | 0.539929i | ||||
\(416\) | 14.1360 | + | 2.13065i | 0.693073 | + | 0.104464i | ||||
\(417\) | 1.08916 | + | 14.5338i | 0.0533364 | + | 0.711725i | ||||
\(418\) | 12.0563 | − | 4.73176i | 0.589694 | − | 0.231438i | ||||
\(419\) | 30.0337 | + | 6.85499i | 1.46724 | + | 0.334888i | 0.880175 | − | 0.474650i | \(-0.157425\pi\) |
0.587067 | + | 0.809538i | \(0.300282\pi\) | |||||||
\(420\) | 2.29589 | + | 0.172053i | 0.112028 | + | 0.00839533i | ||||
\(421\) | −10.8438 | + | 3.34486i | −0.528494 | + | 0.163019i | −0.547508 | − | 0.836801i | \(-0.684423\pi\) |
0.0190143 | + | 0.999819i | \(0.493947\pi\) | |||||||
\(422\) | 13.0454 | − | 27.0890i | 0.635039 | − | 1.31867i | ||||
\(423\) | −17.9117 | − | 31.0239i | −0.870895 | − | 1.50844i | ||||
\(424\) | 5.33312 | − | 9.23724i | 0.258999 | − | 0.448600i | ||||
\(425\) | −3.40341 | − | 7.32636i | −0.165089 | − | 0.355381i | ||||
\(426\) | 4.94581 | + | 21.6690i | 0.239625 | + | 1.04987i | ||||
\(427\) | −0.384818 | + | 0.0580021i | −0.0186227 | + | 0.00280692i | ||||
\(428\) | 0.715972 | + | 0.570969i | 0.0346078 | + | 0.0275988i | ||||
\(429\) | 40.0478 | 1.93353 | ||||||||
\(430\) | −10.2441 | + | 19.4526i | −0.494012 | + | 0.938086i | ||||
\(431\) | 10.7149i | 0.516117i | 0.966129 | + | 0.258059i | \(0.0830827\pi\) | ||||
−0.966129 | + | 0.258059i | \(0.916917\pi\) | |||||||
\(432\) | 11.3258 | + | 9.03202i | 0.544913 | + | 0.434553i | ||||
\(433\) | 20.1576 | − | 3.03826i | 0.968711 | − | 0.146010i | 0.354417 | − | 0.935087i | \(-0.384679\pi\) |
0.614293 | + | 0.789078i | \(0.289441\pi\) | |||||||
\(434\) | −0.532689 | − | 2.33386i | −0.0255699 | − | 0.112029i | ||||
\(435\) | 24.9346 | + | 36.5724i | 1.19552 | + | 1.75351i | ||||
\(436\) | 3.07698 | + | 1.77650i | 0.147361 | + | 0.0850788i | ||||
\(437\) | −2.70381 | + | 1.56105i | −0.129341 | + | 0.0746750i | ||||
\(438\) | 35.3340 | + | 17.0159i | 1.68832 | + | 0.813053i | ||||
\(439\) | −1.13845 | − | 3.69078i | −0.0543355 | − | 0.176151i | 0.924337 | − | 0.381576i | \(-0.124619\pi\) |
−0.978673 | + | 0.205425i | \(0.934142\pi\) | |||||||
\(440\) | 1.29403 | − | 17.2676i | 0.0616905 | − | 0.823202i | ||||
\(441\) | 6.61379 | − | 28.9769i | 0.314942 | − | 1.37985i | ||||
\(442\) | 34.1614 | − | 7.29846i | 1.62489 | − | 0.347152i | ||||
\(443\) | −1.18073 | − | 15.7558i | −0.0560983 | − | 0.748580i | −0.952345 | − | 0.305024i | \(-0.901336\pi\) |
0.896246 | − | 0.443556i | \(-0.146283\pi\) | |||||||
\(444\) | 5.66732 | + | 0.854211i | 0.268959 | + | 0.0405391i | ||||
\(445\) | −8.32803 | − | 8.97549i | −0.394787 | − | 0.425479i | ||||
\(446\) | −10.0243 | + | 4.82744i | −0.474664 | + | 0.228586i | ||||
\(447\) | −32.5736 | + | 47.7767i | −1.54068 | + | 2.25976i | ||||
\(448\) | 6.76614 | + | 2.65551i | 0.319670 | + | 0.125461i | ||||
\(449\) | 1.38063 | − | 4.47589i | 0.0651559 | − | 0.211230i | −0.917140 | − | 0.398564i | \(-0.869509\pi\) |
0.982296 | + | 0.187334i | \(0.0599847\pi\) | |||||||
\(450\) | 8.56868 | + | 7.95058i | 0.403932 | + | 0.374794i | ||||
\(451\) | 3.74851 | + | 4.70049i | 0.176511 | + | 0.221337i | ||||
\(452\) | −0.785967 | + | 0.626788i | −0.0369688 | + | 0.0294816i | ||||
\(453\) | −19.6743 | + | 21.2038i | −0.924378 | + | 0.996242i | ||||
\(454\) | 4.58292 | − | 14.8575i | 0.215087 | − | 0.697295i | ||||
\(455\) | −5.25319 | + | 13.3849i | −0.246273 | + | 0.627494i | ||||
\(456\) | 22.2852 | − | 32.6864i | 1.04360 | − | 1.53068i | ||||
\(457\) | −11.9945 | + | 5.77627i | −0.561081 | + | 0.270202i | −0.692855 | − | 0.721077i | \(-0.743647\pi\) |
0.131773 | + | 0.991280i | \(0.457933\pi\) | |||||||
\(458\) | −1.81583 | + | 1.68484i | −0.0848480 | + | 0.0787274i | ||||
\(459\) | −18.4357 | − | 5.96888i | −0.860504 | − | 0.278603i | ||||
\(460\) | 0.0503340 | + | 0.671660i | 0.00234683 | + | 0.0313163i | ||||
\(461\) | 10.2000 | + | 25.9893i | 0.475063 | + | 1.21044i | 0.944804 | + | 0.327636i | \(0.106252\pi\) |
−0.469741 | + | 0.882804i | \(0.655653\pi\) | |||||||
\(462\) | 6.08585 | + | 1.38906i | 0.283139 | + | 0.0646247i | ||||
\(463\) | 1.04582 | − | 13.9555i | 0.0486032 | − | 0.648565i | −0.918702 | − | 0.394951i | \(-0.870762\pi\) |
0.967305 | − | 0.253614i | \(-0.0816194\pi\) | |||||||
\(464\) | 5.49561 | + | 17.8163i | 0.255127 | + | 0.827103i | ||||
\(465\) | −7.31443 | + | 15.1886i | −0.339199 | + | 0.704353i | ||||
\(466\) | −9.61657 | + | 5.55213i | −0.445479 | + | 0.257198i | ||||
\(467\) | −17.6785 | + | 30.6201i | −0.818065 | + | 1.41693i | 0.0890415 | + | 0.996028i | \(0.471620\pi\) |
−0.907106 | + | 0.420902i | \(0.861714\pi\) | |||||||
\(468\) | 9.94992 | − | 6.78374i | 0.459935 | − | 0.313578i | ||||
\(469\) | 6.98095 | − | 1.59336i | 0.322350 | − | 0.0735743i | ||||
\(470\) | −3.81326 | − | 25.2993i | −0.175892 | − | 1.16697i | ||||
\(471\) | −45.1704 | − | 36.0222i | −2.08134 | − | 1.65981i | ||||
\(472\) | 20.6623 | 0.951058 | ||||||||
\(473\) | 8.41618 | − | 11.4390i | 0.386977 | − | 0.525968i | ||||
\(474\) | 19.3767 | 0.890003 | ||||||||
\(475\) | 5.74825 | − | 7.20807i | 0.263748 | − | 0.330729i | ||||
\(476\) | −1.29713 | − | 0.0180541i | −0.0594537 | − | 0.000827508i | ||||
\(477\) | −3.67612 | − | 16.1061i | −0.168318 | − | 0.737449i | ||||
\(478\) | 5.27486 | − | 3.59634i | 0.241267 | − | 0.164493i | ||||
\(479\) | −22.8687 | − | 13.2033i | −1.04490 | − | 0.603272i | −0.123681 | − | 0.992322i | \(-0.539470\pi\) |
−0.921217 | + | 0.389050i | \(0.872803\pi\) | |||||||
\(480\) | −7.84601 | − | 13.5897i | −0.358120 | − | 0.620281i | ||||
\(481\) | −15.5306 | + | 32.2495i | −0.708132 | + | 1.47045i | ||||
\(482\) | 10.1037 | + | 32.7554i | 0.460211 | + | 1.49197i | ||||
\(483\) | −1.50057 | − | 0.112452i | −0.0682781 | − | 0.00511673i | ||||
\(484\) | 0.540290 | − | 2.36717i | 0.0245587 | − | 0.107598i | ||||
\(485\) | 12.3062 | + | 31.3557i | 0.558796 | + | 1.42379i | ||||
\(486\) | −21.5471 | + | 1.61473i | −0.977397 | + | 0.0732458i | ||||
\(487\) | 1.97087 | − | 13.0759i | 0.0893086 | − | 0.592524i | −0.898752 | − | 0.438458i | \(-0.855525\pi\) |
0.988061 | − | 0.154066i | \(-0.0492370\pi\) | |||||||
\(488\) | 0.981224 | + | 1.05751i | 0.0444179 | + | 0.0478711i | ||||
\(489\) | −58.2220 | + | 28.0382i | −2.63289 | + | 1.26793i | ||||
\(490\) | 11.9579 | − | 17.5390i | 0.540203 | − | 0.792333i | ||||
\(491\) | 0.951518 | − | 2.42443i | 0.0429414 | − | 0.109413i | −0.907794 | − | 0.419416i | \(-0.862235\pi\) |
0.950736 | + | 0.310003i | \(0.100330\pi\) | |||||||
\(492\) | 2.83157 | + | 0.873422i | 0.127657 | + | 0.0393769i | ||||
\(493\) | −15.2773 | − | 19.7138i | −0.688053 | − | 0.887865i | ||||
\(494\) | 24.8567 | + | 31.1693i | 1.11836 | + | 1.40238i | ||||
\(495\) | −16.7219 | − | 20.9686i | −0.751593 | − | 0.942468i | ||||
\(496\) | −4.82985 | + | 5.20534i | −0.216867 | + | 0.233727i | ||||
\(497\) | 4.92588 | + | 1.51943i | 0.220956 | + | 0.0681559i | ||||
\(498\) | −18.6651 | − | 7.32553i | −0.836405 | − | 0.328265i | ||||
\(499\) | −1.48378 | + | 2.17631i | −0.0664232 | + | 0.0974250i | −0.858013 | − | 0.513628i | \(-0.828301\pi\) |
0.791590 | + | 0.611053i | \(0.209254\pi\) | |||||||
\(500\) | 1.33931 | + | 2.78111i | 0.0598959 | + | 0.124375i | ||||
\(501\) | 26.6760 | − | 24.7517i | 1.19180 | − | 1.10582i | ||||
\(502\) | −8.67922 | − | 1.30818i | −0.387373 | − | 0.0583870i | ||||
\(503\) | 1.61238 | − | 0.120831i | 0.0718924 | − | 0.00538759i | −0.0387353 | − | 0.999250i | \(-0.512333\pi\) |
0.110628 | + | 0.993862i | \(0.464714\pi\) | |||||||
\(504\) | 10.8288 | − | 4.24999i | 0.482353 | − | 0.189310i | ||||
\(505\) | −21.5802 | − | 4.92553i | −0.960305 | − | 0.219183i | ||||
\(506\) | −0.136472 | + | 1.82109i | −0.00606691 | + | 0.0809574i | ||||
\(507\) | 25.7065 | + | 83.3385i | 1.14167 | + | 3.70119i | ||||
\(508\) | 4.67284 | + | 2.25032i | 0.207324 | + | 0.0998418i | ||||
\(509\) | 17.2746 | + | 29.9205i | 0.765683 | + | 1.32620i | 0.939885 | + | 0.341491i | \(0.110932\pi\) |
−0.174202 | + | 0.984710i | \(0.555735\pi\) | |||||||
\(510\) | −29.6433 | − | 24.3223i | −1.31263 | − | 1.07701i | ||||
\(511\) | 7.51523 | − | 5.12380i | 0.332454 | − | 0.226663i | ||||
\(512\) | −5.62839 | − | 24.6596i | −0.248742 | − | 1.08981i | ||||
\(513\) | −3.29611 | − | 21.8683i | −0.145527 | − | 0.965508i | ||||
\(514\) | 10.9115 | − | 13.6826i | 0.481286 | − | 0.603514i | ||||
\(515\) | − | 24.8995i | − | 1.09720i | ||||||
\(516\) | 0.251333 | − | 6.99501i | 0.0110643 | − | 0.307938i | ||||
\(517\) | 16.5270i | 0.726857i | ||||||||
\(518\) | −3.47867 | + | 4.36211i | −0.152844 | + | 0.191660i | ||||
\(519\) | −58.7784 | + | 8.85942i | −2.58009 | + | 0.388886i | ||||
\(520\) | 51.9651 | − | 11.8607i | 2.27882 | − | 0.520126i | ||||
\(521\) | −11.3903 | − | 16.7065i | −0.499019 | − | 0.731926i | 0.491262 | − | 0.871012i | \(-0.336536\pi\) |
−0.990280 | + | 0.139086i | \(0.955583\pi\) | |||||||
\(522\) | 31.2533 | + | 18.0441i | 1.36792 | + | 0.789769i | ||||
\(523\) | 20.6327 | + | 35.7369i | 0.902206 | + | 1.56267i | 0.824625 | + | 0.565680i | \(0.191386\pi\) |
0.0775814 | + | 0.996986i | \(0.475280\pi\) | |||||||
\(524\) | 2.27599 | − | 4.72615i | 0.0994272 | − | 0.206463i | ||||
\(525\) | 4.24614 | − | 1.30976i | 0.185317 | − | 0.0571627i | ||||
\(526\) | 0.0556720 | − | 0.742891i | 0.00242741 | − | 0.0323916i | ||||
\(527\) | 3.59299 | − | 8.79295i | 0.156513 | − | 0.383027i | ||||
\(528\) | −6.76486 | − | 17.2366i | −0.294403 | − | 0.750126i | ||||
\(529\) | 1.68589 | + | 22.4967i | 0.0732998 | + | 0.978117i | ||||
\(530\) | 1.75853 | − | 11.6671i | 0.0763855 | − | 0.506785i | ||||
\(531\) | 23.4596 | − | 21.7673i | 1.01806 | − | 0.944620i | ||||
\(532\) | −0.642369 | − | 1.33389i | −0.0278502 | − | 0.0578316i | ||||
\(533\) | −10.4250 | + | 15.2907i | −0.451557 | + | 0.662312i | ||||
\(534\) | −15.2310 | − | 5.97773i | −0.659110 | − | 0.258682i | ||||
\(535\) | 5.99901 | + | 1.85045i | 0.259360 | + | 0.0800019i | ||||
\(536\) | −19.4577 | − | 18.0541i | −0.840444 | − | 0.779818i | ||||
\(537\) | 40.5046 | − | 32.3014i | 1.74790 | − | 1.39391i | ||||
\(538\) | −20.8325 | + | 16.6134i | −0.898154 | + | 0.716254i | ||||
\(539\) | −9.32668 | + | 10.0518i | −0.401729 | + | 0.432960i | ||||
\(540\) | −4.55907 | − | 1.40629i | −0.196191 | − | 0.0605169i | ||||
\(541\) | −18.2375 | − | 7.15769i | −0.784091 | − | 0.307733i | −0.0606859 | − | 0.998157i | \(-0.519329\pi\) |
−0.723405 | + | 0.690424i | \(0.757424\pi\) | |||||||
\(542\) | −20.9267 | − | 14.2676i | −0.898881 | − | 0.612846i | ||||
\(543\) | 37.7311 | − | 18.1703i | 1.61920 | − | 0.779764i | ||||
\(544\) | 4.87856 | + | 7.37397i | 0.209166 | + | 0.316156i | ||||
\(545\) | 24.0852 | + | 3.63025i | 1.03169 | + | 0.155503i | ||||
\(546\) | 1.43594 | + | 19.1612i | 0.0614524 | + | 0.820025i | ||||
\(547\) | 6.49061 | − | 2.54738i | 0.277518 | − | 0.108918i | −0.222500 | − | 0.974933i | \(-0.571422\pi\) |
0.500018 | + | 0.866015i | \(0.333327\pi\) | |||||||
\(548\) | −1.15896 | + | 5.07773i | −0.0495083 | + | 0.216910i | ||||
\(549\) | 2.22813 | + | 0.166975i | 0.0950941 | + | 0.00712632i | ||||
\(550\) | −1.58953 | − | 5.15313i | −0.0677778 | − | 0.219730i | ||||
\(551\) | 12.3499 | − | 25.6449i | 0.526125 | − | 1.09251i | ||||
\(552\) | 2.78905 | + | 4.83077i | 0.118710 | + | 0.205611i | ||||
\(553\) | 2.24701 | − | 3.89193i | 0.0955526 | − | 0.165502i | ||||
\(554\) | 23.0436 | + | 33.7988i | 0.979030 | + | 1.43597i | ||||
\(555\) | 38.3055 | − | 8.74298i | 1.62598 | − | 0.371119i | ||||
\(556\) | −0.301349 | − | 1.99932i | −0.0127800 | − | 0.0847900i | ||||
\(557\) | 13.0171 | − | 16.3229i | 0.551551 | − | 0.691623i | −0.425420 | − | 0.904996i | \(-0.639873\pi\) |
0.976971 | + | 0.213373i | \(0.0684449\pi\) | |||||||
\(558\) | 13.7444i | 0.581845i | ||||||||
\(559\) | 41.2828 | + | 14.3767i | 1.74608 | + | 0.608070i | ||||
\(560\) | 6.64824 | 0.280940 | ||||||||
\(561\) | 16.5930 | + | 18.3898i | 0.700556 | + | 0.776417i | ||||
\(562\) | 6.94596 | − | 1.04694i | 0.292998 | − | 0.0441623i | ||||
\(563\) | 6.95937 | + | 30.4910i | 0.293302 | + | 1.28504i | 0.879898 | + | 0.475162i | \(0.157611\pi\) |
−0.586596 | + | 0.809880i | \(0.699532\pi\) | |||||||
\(564\) | 4.58863 | + | 6.73028i | 0.193216 | + | 0.283396i | ||||
\(565\) | −3.44583 | + | 5.96836i | −0.144967 | + | 0.251091i | ||||
\(566\) | 18.8642 | − | 10.8912i | 0.792920 | − | 0.457793i | ||||
\(567\) | −0.371177 | + | 0.770756i | −0.0155880 | + | 0.0323687i | ||||
\(568\) | −5.63244 | − | 18.2599i | −0.236332 | − | 0.766170i | ||||
\(569\) | 1.51461 | − | 20.2110i | 0.0634956 | − | 0.847290i | −0.870993 | − | 0.491296i | \(-0.836523\pi\) |
0.934488 | − | 0.355994i | \(-0.115858\pi\) | |||||||
\(570\) | 9.73779 | − | 42.6641i | 0.407871 | − | 1.78700i | ||||
\(571\) | 36.7772 | − | 14.4340i | 1.53908 | − | 0.604043i | 0.563973 | − | 0.825793i | \(-0.309272\pi\) |
0.975104 | + | 0.221750i | \(0.0711768\pi\) | |||||||
\(572\) | −5.54021 | + | 0.415181i | −0.231648 | + | 0.0173596i | ||||
\(573\) | 0.300067 | − | 1.99082i | 0.0125355 | − | 0.0831676i | ||||
\(574\) | −2.11459 | + | 1.96205i | −0.0882612 | + | 0.0818944i | ||||
\(575\) | 0.564031 | + | 1.17122i | 0.0235217 | + | 0.0488434i | ||||
\(576\) | −34.4808 | − | 23.5086i | −1.43670 | − | 0.979526i | ||||
\(577\) | 12.5131 | − | 31.8829i | 0.520927 | − | 1.32730i | −0.392295 | − | 0.919839i | \(-0.628319\pi\) |
0.913222 | − | 0.407461i | \(-0.133586\pi\) | |||||||
\(578\) | 17.5055 | + | 12.6628i | 0.728133 | + | 0.526704i | ||||
\(579\) | −27.1942 | − | 25.2325i | −1.13015 | − | 1.04863i | ||||
\(580\) | −3.82861 | − | 4.80092i | −0.158974 | − | 0.199347i | ||||
\(581\) | −3.63587 | + | 2.89951i | −0.150841 | + | 0.120292i | ||||
\(582\) | 32.9971 | + | 30.6168i | 1.36777 | + | 1.26911i | ||||
\(583\) | −2.24651 | + | 7.28301i | −0.0930410 | + | 0.301631i | ||||
\(584\) | −31.3865 | − | 12.3183i | −1.29878 | − | 0.509734i | ||||
\(585\) | 46.5053 | − | 68.2107i | 1.92276 | − | 2.82016i | ||||
\(586\) | 17.5773 | − | 8.46480i | 0.726113 | − | 0.349678i | ||||
\(587\) | −32.6362 | + | 30.2820i | −1.34704 | + | 1.24987i | −0.405023 | + | 0.914307i | \(0.632736\pi\) |
−0.942017 | + | 0.335564i | \(0.891073\pi\) | |||||||
\(588\) | −1.00728 | + | 6.68287i | −0.0415395 | + | 0.275597i | ||||
\(589\) | 10.8102 | − | 0.810115i | 0.445428 | − | 0.0333802i | ||||
\(590\) | 21.2763 | − | 8.35034i | 0.875932 | − | 0.343778i | ||||
\(591\) | −2.31924 | + | 10.1613i | −0.0954008 | + | 0.417978i | ||||
\(592\) | 16.5036 | + | 1.23678i | 0.678295 | + | 0.0508312i | ||||
\(593\) | 10.7120 | − | 3.30421i | 0.439888 | − | 0.135688i | −0.0668971 | − | 0.997760i | \(-0.521310\pi\) |
0.506785 | + | 0.862072i | \(0.330834\pi\) | |||||||
\(594\) | −11.6548 | − | 5.61264i | −0.478201 | − | 0.230290i | ||||
\(595\) | −8.32285 | + | 3.13352i | −0.341203 | + | 0.128462i | ||||
\(596\) | 4.01092 | − | 6.94712i | 0.164294 | − | 0.284565i | ||||
\(597\) | −4.70477 | + | 3.20765i | −0.192553 | + | 0.131281i | ||||
\(598\) | −5.48038 | + | 1.25086i | −0.224109 | + | 0.0511515i | ||||
\(599\) | −8.55062 | + | 1.28880i | −0.349369 | + | 0.0526589i | −0.321383 | − | 0.946949i | \(-0.604148\pi\) |
−0.0279863 | + | 0.999608i | \(0.508909\pi\) | |||||||
\(600\) | −12.8783 | − | 10.2701i | −0.525755 | − | 0.419276i | ||||
\(601\) | − | 4.50910i | − | 0.183930i | −0.995762 | − | 0.0919650i | \(-0.970685\pi\) | ||
0.995762 | − | 0.0919650i | \(-0.0293148\pi\) | |||||||
\(602\) | 5.77488 | + | 3.61665i | 0.235367 | + | 0.147404i | ||||
\(603\) | −41.1115 | −1.67419 | ||||||||
\(604\) | 2.50191 | − | 3.13730i | 0.101801 | − | 0.127655i | ||||
\(605\) | −2.48084 | − | 16.4593i | −0.100860 | − | 0.669165i | ||||
\(606\) | −28.8383 | + | 6.58215i | −1.17148 | + | 0.267382i | ||||
\(607\) | 20.4185 | + | 29.9484i | 0.828760 | + | 1.21557i | 0.974085 | + | 0.226183i | \(0.0726248\pi\) |
−0.145325 | + | 0.989384i | \(0.546423\pi\) | |||||||
\(608\) | −5.04537 | + | 8.73883i | −0.204617 | + | 0.354406i | ||||
\(609\) | 11.8808 | − | 6.85941i | 0.481436 | − | 0.277957i | ||||
\(610\) | 1.43776 | + | 0.692388i | 0.0582132 | + | 0.0280340i | ||||
\(611\) | −48.6126 | + | 14.9950i | −1.96666 | + | 0.606633i | ||||
\(612\) | 7.23761 | + | 1.75826i | 0.292563 | + | 0.0710734i | ||||
\(613\) | −4.51554 | + | 19.7839i | −0.182381 | + | 0.799063i | 0.798112 | + | 0.602509i | \(0.205832\pi\) |
−0.980493 | + | 0.196554i | \(0.937025\pi\) | |||||||
\(614\) | −0.994050 | − | 2.53280i | −0.0401166 | − | 0.102215i | ||||
\(615\) | 20.2572 | − | 1.51807i | 0.816850 | − | 0.0612144i | ||||
\(616\) | −5.30689 | − | 0.799885i | −0.213821 | − | 0.0322283i | ||||
\(617\) | 1.46596 | + | 1.57993i | 0.0590172 | + | 0.0636054i | 0.761870 | − | 0.647730i | \(-0.224281\pi\) |
−0.702853 | + | 0.711335i | \(0.748091\pi\) | |||||||
\(618\) | −14.4371 | − | 29.9789i | −0.580744 | − | 1.20593i | ||||
\(619\) | −4.00449 | + | 5.87351i | −0.160954 | + | 0.236076i | −0.898241 | − | 0.439504i | \(-0.855154\pi\) |
0.737287 | + | 0.675580i | \(0.236107\pi\) | |||||||
\(620\) | 0.854416 | − | 2.17702i | 0.0343142 | − | 0.0874311i | ||||
\(621\) | 2.97975 | + | 0.919132i | 0.119573 | + | 0.0368835i | ||||
\(622\) | 5.25206 | − | 5.66037i | 0.210588 | − | 0.226960i | ||||
\(623\) | −2.96692 | + | 2.36604i | −0.118867 | + | 0.0947933i | ||||
\(624\) | 44.5620 | − | 35.5370i | 1.78391 | − | 1.42262i | ||||
\(625\) | 22.6935 | + | 21.0565i | 0.907741 | + | 0.842261i | ||||
\(626\) | 8.37084 | − | 27.1376i | 0.334566 | − | 1.08464i | ||||
\(627\) | −10.3275 | + | 26.3141i | −0.412441 | + | 1.05088i | ||||
\(628\) | 6.62232 | + | 4.51502i | 0.264259 | + | 0.180169i | ||||
\(629\) | −21.2436 | + | 6.23036i | −0.847038 | + | 0.248421i | ||||
\(630\) | 9.43305 | − | 8.75259i | 0.375822 | − | 0.348711i | ||||
\(631\) | −2.81154 | − | 0.423771i | −0.111925 | − | 0.0168701i | 0.0928406 | − | 0.995681i | \(-0.470405\pi\) |
−0.204766 | + | 0.978811i | \(0.565643\pi\) | |||||||
\(632\) | −16.6124 | + | 1.24493i | −0.660808 | + | 0.0495207i | ||||
\(633\) | 23.9748 | + | 61.0868i | 0.952913 | + | 2.42798i | ||||
\(634\) | −37.0096 | − | 8.44720i | −1.46984 | − | 0.335481i | ||||
\(635\) | 35.4558 | + | 2.65705i | 1.40702 | + | 0.105442i | ||||
\(636\) | 1.10724 | + | 3.58958i | 0.0439049 | + | 0.142336i | ||||
\(637\) | −38.0284 | − | 18.3135i | −1.50674 | − | 0.725608i | ||||
\(638\) | −8.32460 | − | 14.4186i | −0.329574 | − | 0.570839i | ||||
\(639\) | −25.6314 | − | 14.7983i | −1.01396 | − | 0.585413i | ||||
\(640\) | −10.4164 | − | 15.2780i | −0.411743 | − | 0.603916i | ||||
\(641\) | 35.4246 | − | 8.08544i | 1.39919 | − | 0.319356i | 0.544616 | − | 0.838686i | \(-0.316676\pi\) |
0.854574 | + | 0.519330i | \(0.173818\pi\) | |||||||
\(642\) | 8.29569 | − | 1.25037i | 0.327405 | − | 0.0493483i | ||||
\(643\) | −36.9345 | − | 29.4543i | −1.45656 | − | 1.16156i | −0.955063 | − | 0.296401i | \(-0.904213\pi\) |
−0.501492 | − | 0.865163i | \(-0.667215\pi\) | |||||||
\(644\) | 0.208754 | 0.00822606 | ||||||||
\(645\) | −15.9155 | − | 45.2682i | −0.626674 | − | 1.78243i | ||||
\(646\) | −4.01397 | + | 24.3285i | −0.157927 | + | 0.957191i | ||||
\(647\) | −10.0316 | + | 12.5792i | −0.394383 | + | 0.494540i | −0.938891 | − | 0.344215i | \(-0.888145\pi\) |
0.544508 | + | 0.838756i | \(0.316716\pi\) | |||||||
\(648\) | 3.13577 | − | 0.472641i | 0.123185 | − | 0.0185671i | ||||
\(649\) | −14.3941 | + | 3.28537i | −0.565020 | + | 0.128962i | ||||
\(650\) | 13.7153 | − | 9.35090i | 0.537957 | − | 0.366773i | ||||
\(651\) | 4.52488 | + | 2.61244i | 0.177344 | + | 0.102390i | ||||
\(652\) | 7.76375 | − | 4.48240i | 0.304052 | − | 0.175545i | ||||
\(653\) | −7.21298 | + | 14.9779i | −0.282266 | + | 0.586131i | −0.993106 | − | 0.117223i | \(-0.962601\pi\) |
0.710840 | + | 0.703354i | \(0.248315\pi\) | |||||||
\(654\) | 31.1033 | − | 9.59409i | 1.21623 | − | 0.375158i | ||||
\(655\) | 2.68736 | − | 35.8603i | 0.105004 | − | 1.40118i | ||||
\(656\) | 8.34210 | + | 1.90403i | 0.325704 | + | 0.0743399i | ||||
\(657\) | −48.6127 | + | 19.0791i | −1.89656 | + | 0.744346i | ||||
\(658\) | −7.90751 | + | 0.592586i | −0.308267 | + | 0.0231014i | ||||
\(659\) | 29.5345 | + | 4.45161i | 1.15050 | + | 0.173410i | 0.696477 | − | 0.717580i | \(-0.254750\pi\) |
0.454024 | + | 0.890990i | \(0.349988\pi\) | |||||||
\(660\) | 4.14798 | + | 4.47046i | 0.161460 | + | 0.174012i | ||||
\(661\) | −3.31628 | + | 1.59704i | −0.128988 | + | 0.0621176i | −0.497265 | − | 0.867599i | \(-0.665662\pi\) |
0.368276 | + | 0.929716i | \(0.379948\pi\) | |||||||
\(662\) | −30.9656 | − | 21.1120i | −1.20351 | − | 0.820542i | ||||
\(663\) | −39.0369 | + | 65.4917i | −1.51607 | + | 2.54349i | ||||
\(664\) | 16.4730 | + | 5.08125i | 0.639277 | + | 0.197191i | ||||
\(665\) | −7.44010 | − | 6.90340i | −0.288515 | − | 0.267702i | ||||
\(666\) | 25.0449 | − | 19.9726i | 0.970470 | − | 0.773924i | ||||
\(667\) | 2.50233 | + | 3.13782i | 0.0968907 | + | 0.121497i | ||||
\(668\) | −3.43375 | + | 3.70070i | −0.132856 | + | 0.143185i | ||||
\(669\) | 7.15779 | − | 23.2050i | 0.276736 | − | 0.897156i | ||||
\(670\) | −27.3322 | − | 10.7271i | −1.05594 | − | 0.414424i | ||||
\(671\) | −0.851706 | − | 0.580684i | −0.0328798 | − | 0.0224170i | ||||
\(672\) | −4.38185 | + | 2.11019i | −0.169033 | + | 0.0814022i | ||||
\(673\) | 25.4328 | + | 27.4101i | 0.980363 | + | 1.05658i | 0.998389 | + | 0.0567423i | \(0.0180713\pi\) |
−0.0180261 | + | 0.999838i | \(0.505738\pi\) | |||||||
\(674\) | 3.76919 | − | 25.0069i | 0.145184 | − | 0.963230i | ||||
\(675\) | −9.18249 | + | 0.688132i | −0.353434 | + | 0.0264862i | ||||
\(676\) | −4.42022 | − | 11.2625i | −0.170009 | − | 0.433175i | ||||
\(677\) | 9.53339 | + | 2.17593i | 0.366398 | + | 0.0836279i | 0.401756 | − | 0.915747i | \(-0.368400\pi\) |
−0.0353581 | + | 0.999375i | \(0.511257\pi\) | |||||||
\(678\) | −0.688231 | + | 9.18381i | −0.0264314 | + | 0.352702i | ||||
\(679\) | 9.97605 | − | 3.07720i | 0.382846 | − | 0.118092i | ||||
\(680\) | 26.9771 | + | 18.9479i | 1.03452 | + | 0.726620i | ||||
\(681\) | 16.9678 | + | 29.3890i | 0.650206 | + | 1.12619i | ||||
\(682\) | 3.17046 | − | 5.49141i | 0.121403 | − | 0.210277i | ||||
\(683\) | −8.79476 | − | 12.8995i | −0.336522 | − | 0.493587i | 0.620259 | − | 0.784397i | \(-0.287028\pi\) |
−0.956781 | + | 0.290810i | \(0.906075\pi\) | |||||||
\(684\) | 1.89149 | + | 8.28716i | 0.0723229 | + | 0.316867i | ||||
\(685\) | 5.32157 | + | 35.3063i | 0.203327 | + | 1.34898i | ||||
\(686\) | −10.8306 | − | 8.63716i | −0.413516 | − | 0.329768i | ||||
\(687\) | − | 5.40646i | − | 0.206269i | ||||||
\(688\) | −0.785743 | − | 20.1967i | −0.0299562 | − | 0.769991i | ||||
\(689\) | −23.4605 | −0.893775 | ||||||||
\(690\) | 4.82421 | + | 3.84718i | 0.183655 | + | 0.146460i | ||||
\(691\) | 0.281410 | + | 1.86703i | 0.0107053 | + | 0.0710254i | 0.993546 | − | 0.113433i | \(-0.0361849\pi\) |
−0.982840 | + | 0.184459i | \(0.940947\pi\) | |||||||
\(692\) | 8.03956 | − | 1.83498i | 0.305618 | − | 0.0697554i | ||||
\(693\) | −6.86801 | + | 4.68253i | −0.260894 | + | 0.177875i | ||||
\(694\) | −17.5196 | − | 10.1149i | −0.665035 | − | 0.383958i | ||||
\(695\) | −6.93048 | − | 12.0039i | −0.262888 | − | 0.455335i | ||||
\(696\) | −45.8186 | − | 22.0651i | −1.73675 | − | 0.836374i | ||||
\(697\) | −11.3408 | + | 1.54825i | −0.429563 | + | 0.0586443i | ||||
\(698\) | −0.924414 | + | 12.3354i | −0.0349896 | + | 0.466903i | ||||
\(699\) | 5.39305 | − | 23.6285i | 0.203984 | − | 0.893712i | ||||
\(700\) | −0.573833 | + | 0.225213i | −0.0216889 | + | 0.00851225i | ||||
\(701\) | −2.18171 | − | 29.1129i | −0.0824020 | − | 1.09958i | −0.873155 | − | 0.487443i | \(-0.837930\pi\) |
0.790753 | − | 0.612136i | \(-0.209689\pi\) | |||||||
\(702\) | 5.93464 | − | 39.3738i | 0.223989 | − | 1.48607i | ||||
\(703\) | −17.1851 | − | 18.5211i | −0.648148 | − | 0.698537i | ||||
\(704\) | 8.35360 | + | 17.3464i | 0.314838 | + | 0.653768i | ||||
\(705\) | 46.1388 | + | 31.4569i | 1.73769 | + | 1.18473i | ||||
\(706\) | −8.75289 | + | 22.3020i | −0.329419 | + | 0.839347i | ||||
\(707\) | −2.02215 | + | 6.55564i | −0.0760507 | + | 0.246550i | ||||
\(708\) | −4.94955 | + | 5.33434i | −0.186015 | + | 0.200477i | ||||
\(709\) | −8.72948 | + | 6.96153i | −0.327842 | + | 0.261446i | −0.773553 | − | 0.633731i | \(-0.781522\pi\) |
0.445711 | + | 0.895177i | \(0.352951\pi\) | |||||||
\(710\) | −13.1793 | − | 16.5263i | −0.494610 | − | 0.620222i | ||||
\(711\) | −17.5500 | + | 18.9144i | −0.658175 | + | 0.709344i | ||||
\(712\) | 13.4422 | + | 4.14637i | 0.503768 | + | 0.155392i | ||||
\(713\) | −0.558436 | + | 1.42287i | −0.0209136 | + | 0.0532870i | ||||
\(714\) | −8.20381 | + | 8.59844i | −0.307020 | + | 0.321788i | ||||
\(715\) | −34.3151 | + | 16.5253i | −1.28331 | + | 0.618010i | ||||
\(716\) | −5.26854 | + | 4.88849i | −0.196894 | + | 0.182691i | ||||
\(717\) | −2.07677 | + | 13.7785i | −0.0775584 | + | 0.514567i | ||||
\(718\) | 2.55244 | + | 34.0600i | 0.0952564 | + | 1.27111i | ||||
\(719\) | −31.2062 | + | 12.2475i | −1.16380 | + | 0.456756i | −0.867060 | − | 0.498203i | \(-0.833993\pi\) |
−0.296736 | + | 0.954960i | \(0.595898\pi\) | |||||||
\(720\) | −37.2136 | − | 8.49376i | −1.38687 | − | 0.316544i | ||||
\(721\) | −7.69562 | − | 0.576707i | −0.286600 | − | 0.0214777i | ||||
\(722\) | −3.81610 | + | 1.17711i | −0.142020 | + | 0.0438075i | ||||
\(723\) | −67.4067 | − | 32.4613i | −2.50688 | − | 1.20725i | ||||
\(724\) | −5.03135 | + | 2.90485i | −0.186989 | + | 0.107958i | ||||
\(725\) | −10.2638 | − | 5.92578i | −0.381186 | − | 0.220078i | ||||
\(726\) | −12.5302 | − | 18.3785i | −0.465041 | − | 0.682089i | ||||
\(727\) | −10.4555 | − | 45.8084i | −0.387772 | − | 1.69894i | −0.672306 | − | 0.740273i | \(-0.734696\pi\) |
0.284534 | − | 0.958666i | \(-0.408161\pi\) | |||||||
\(728\) | −2.46217 | − | 16.3354i | −0.0912541 | − | 0.605431i | ||||
\(729\) | 27.4471 | − | 34.4175i | 1.01656 | − | 1.27472i | ||||
\(730\) | −37.2975 | −1.38044 | ||||||||
\(731\) | 10.5030 | + | 24.9136i | 0.388466 | + | 0.921463i | ||||
\(732\) | −0.508063 | −0.0187785 | ||||||||
\(733\) | 12.4675 | − | 15.6337i | 0.460498 | − | 0.577446i | −0.496318 | − | 0.868141i | \(-0.665315\pi\) |
0.956816 | + | 0.290695i | \(0.0938865\pi\) | |||||||
\(734\) | 3.03995 | + | 20.1688i | 0.112207 | + | 0.744443i | ||||
\(735\) | 10.3097 | + | 45.1696i | 0.380278 | + | 1.66611i | ||||
\(736\) | −0.801497 | − | 1.17558i | −0.0295436 | − | 0.0433324i | ||||
\(737\) | 16.4257 | + | 9.48336i | 0.605047 | + | 0.349324i | ||||
\(738\) | 14.3431 | − | 8.28101i | 0.527978 | − | 0.304828i | ||||
\(739\) | −37.7425 | − | 18.1758i | −1.38838 | − | 0.668609i | −0.417613 | − | 0.908625i | \(-0.637133\pi\) |
−0.970769 | + | 0.240016i | \(0.922847\pi\) | |||||||
\(740\) | −5.20854 | + | 1.60662i | −0.191470 | + | 0.0590606i | ||||
\(741\) | −86.7705 | − | 6.50255i | −3.18759 | − | 0.238877i | ||||
\(742\) | −3.56517 | − | 0.813728i | −0.130882 | − | 0.0298729i | ||||
\(743\) | 8.14593 | − | 3.19704i | 0.298845 | − | 0.117288i | −0.211181 | − | 0.977447i | \(-0.567731\pi\) |
0.510026 | + | 0.860159i | \(0.329636\pi\) | |||||||
\(744\) | −1.44739 | − | 19.3141i | −0.0530640 | − | 0.708090i | ||||
\(745\) | 8.19627 | − | 54.3787i | 0.300288 | − | 1.99228i | ||||
\(746\) | −21.6790 | + | 20.1152i | −0.793726 | + | 0.736470i | ||||
\(747\) | 24.0562 | − | 11.5848i | 0.880169 | − | 0.423867i | ||||
\(748\) | −2.48612 | − | 2.37202i | −0.0909016 | − | 0.0867296i | ||||
\(749\) | 0.710858 | − | 1.81124i | 0.0259742 | − | 0.0661812i | ||||
\(750\) | 27.0221 | + | 8.33523i | 0.986709 | + | 0.304360i | ||||
\(751\) | −32.6755 | + | 35.2158i | −1.19235 | + | 1.28504i | −0.243284 | + | 0.969955i | \(0.578225\pi\) |
−0.949062 | + | 0.315088i | \(0.897966\pi\) | |||||||
\(752\) | 14.6655 | + | 18.3900i | 0.534796 | + | 0.670612i | ||||
\(753\) | 14.9777 | − | 11.9443i | 0.545819 | − | 0.435276i | ||||
\(754\) | 34.8581 | − | 37.5681i | 1.26946 | − | 1.36815i | ||||
\(755\) | 8.10844 | − | 26.2869i | 0.295096 | − | 0.956679i | ||||
\(756\) | −0.540231 | + | 1.37649i | −0.0196480 | + | 0.0500623i | ||||
\(757\) | 21.9768 | + | 14.9835i | 0.798761 | + | 0.544586i | 0.892520 | − | 0.451009i | \(-0.148936\pi\) |
−0.0937583 | + | 0.995595i | \(0.529888\pi\) | |||||||
\(758\) | 14.2824 | + | 29.6577i | 0.518760 | + | 1.07722i | ||||
\(759\) | −2.71107 | − | 2.92184i | −0.0984056 | − | 0.106056i | ||||
\(760\) | −5.60749 | + | 37.2032i | −0.203405 | + | 1.34950i | ||||
\(761\) | −2.44582 | − | 32.6372i | −0.0886610 | − | 1.18310i | −0.847128 | − | 0.531388i | \(-0.821671\pi\) |
0.758467 | − | 0.651711i | \(-0.225949\pi\) | |||||||
\(762\) | 44.2292 | − | 17.3587i | 1.60226 | − | 0.628839i | ||||
\(763\) | 1.67984 | − | 7.35985i | 0.0608142 | − | 0.266444i | ||||
\(764\) | −0.0208722 | + | 0.278520i | −0.000755131 | + | 0.0100765i | ||||
\(765\) | 50.5906 | − | 6.90666i | 1.82911 | − | 0.249711i | ||||
\(766\) | 33.6688 | + | 16.2140i | 1.21650 | + | 0.585836i | ||||
\(767\) | −22.7234 | − | 39.3582i | −0.820496 | − | 1.42114i | ||||
\(768\) | 21.3119 | + | 12.3044i | 0.769025 | + | 0.443997i | ||||
\(769\) | 28.6730 | − | 19.5489i | 1.03397 | − | 0.704951i | 0.0775659 | − | 0.996987i | \(-0.475285\pi\) |
0.956407 | + | 0.292036i | \(0.0943328\pi\) | |||||||
\(770\) | −5.78786 | + | 1.32104i | −0.208580 | + | 0.0476070i | ||||
\(771\) | 5.69297 | + | 37.7704i | 0.205027 | + | 1.36027i | ||||
\(772\) | 4.02363 | + | 3.20874i | 0.144814 | + | 0.115485i | ||||
\(773\) | −7.69133 | −0.276638 | −0.138319 | − | 0.990388i | \(-0.544170\pi\) | ||||
−0.138319 | + | 0.990388i | \(0.544170\pi\) | |||||||
\(774\) | −27.7043 | − | 27.6222i | −0.995812 | − | 0.992858i | ||||
\(775\) | − | 4.51372i | − | 0.162138i | ||||||
\(776\) | −30.2568 | − | 24.1290i | −1.08616 | − | 0.866180i | ||||
\(777\) | −1.81496 | − | 12.0415i | −0.0651113 | − | 0.431985i | ||||
\(778\) | 0.661558 | + | 2.89847i | 0.0237180 | + | 0.103915i | ||||
\(779\) | −7.35860 | − | 10.7931i | −0.263649 | − | 0.386702i | ||||
\(780\) | −9.38595 | + | 16.2569i | −0.336071 | + | 0.582092i | ||||
\(781\) | 6.82717 | + | 11.8250i | 0.244295 | + | 0.423132i | ||||
\(782\) | −2.84507 | − | 1.99830i | −0.101740 | − | 0.0714591i | ||||
\(783\) | −27.1660 | + | 8.37960i | −0.970834 | + | 0.299463i | ||||
\(784\) | −1.45840 | + | 19.4610i | −0.0520857 | + | 0.695035i | ||||
\(785\) | 53.5686 | + | 12.2267i | 1.91194 | + | 0.436389i | ||||
\(786\) | −17.5567 | − | 44.7338i | −0.626228 | − | 1.59560i | ||||
\(787\) | −38.4505 | + | 2.88147i | −1.37061 | + | 0.102713i | −0.739593 | − | 0.673054i | \(-0.764982\pi\) |
−0.631019 | + | 0.775768i | \(0.717363\pi\) | |||||||
\(788\) | 0.215500 | − | 1.42975i | 0.00767689 | − | 0.0509328i | ||||
\(789\) | 1.10595 | + | 1.19193i | 0.0393728 | + | 0.0424337i | ||||
\(790\) | −16.6030 | + | 7.99560i | −0.590709 | + | 0.284471i | ||||
\(791\) | 1.76481 | + | 1.20323i | 0.0627495 | + | 0.0427819i | ||||
\(792\) | 28.6834 | + | 11.2574i | 1.01922 | + | 0.400015i | ||||
\(793\) | 0.935269 | − | 3.03207i | 0.0332124 | − | 0.107672i | ||||
\(794\) | −12.5682 | + | 13.5453i | −0.446028 | + | 0.480704i | ||||
\(795\) | 16.0562 | + | 20.1338i | 0.569454 | + | 0.714073i | ||||
\(796\) | 0.617603 | − | 0.492522i | 0.0218904 | − | 0.0174570i | ||||
\(797\) | −32.0639 | − | 29.7509i | −1.13576 | − | 1.05383i | −0.997990 | − | 0.0633677i | \(-0.979816\pi\) |
−0.137770 | − | 0.990464i | \(-0.543994\pi\) | |||||||
\(798\) | −12.9605 | − | 3.99779i | −0.458797 | − | 0.141520i | ||||
\(799\) | −27.0273 | − | 16.1098i | −0.956156 | − | 0.569925i | ||||
\(800\) | 3.47146 | + | 2.36680i | 0.122735 | + | 0.0836790i | ||||
\(801\) | 19.6302 | − | 9.45339i | 0.693598 | − | 0.334019i | ||||
\(802\) | 13.7453 | + | 14.8140i | 0.485365 | + | 0.523099i | ||||
\(803\) | 23.8237 | + | 3.59084i | 0.840720 | + | 0.126718i | ||||
\(804\) | 9.32200 | − | 0.698587i | 0.328762 | − | 0.0246373i | ||||
\(805\) | 1.33217 | − | 0.522837i | 0.0469527 | − | 0.0184276i | ||||
\(806\) | 19.0290 | + | 4.34325i | 0.670268 | + | 0.152984i | ||||
\(807\) | 4.34608 | − | 57.9944i | 0.152989 | − | 2.04150i | ||||
\(808\) | 24.3013 | − | 7.49597i | 0.854918 | − | 0.263707i | ||||
\(809\) | 7.19824 | − | 14.9473i | 0.253077 | − | 0.525519i | −0.735264 | − | 0.677781i | \(-0.762942\pi\) |
0.988340 | + | 0.152262i | \(0.0486559\pi\) | |||||||
\(810\) | 3.03795 | − | 1.75396i | 0.106743 | − | 0.0616279i | ||||
\(811\) | 42.8217 | + | 24.7231i | 1.50367 | + | 0.868146i | 0.999991 | + | 0.00425717i | \(0.00135510\pi\) |
0.503682 | + | 0.863889i | \(0.331978\pi\) | |||||||
\(812\) | −1.57248 | + | 1.07210i | −0.0551834 | + | 0.0376234i | ||||
\(813\) | 53.8942 | − | 12.3010i | 1.89015 | − | 0.431415i | ||||
\(814\) | −14.6136 | + | 2.20264i | −0.512205 | + | 0.0772025i | ||||
\(815\) | 38.3180 | − | 48.0493i | 1.34222 | − | 1.68309i | ||||
\(816\) | 34.7818 | + | 5.73866i | 1.21761 | + | 0.200893i | ||||
\(817\) | −20.0925 | + | 23.4181i | −0.702947 | + | 0.819297i | ||||
\(818\) | −34.8572 | −1.21875 | ||||||||
\(819\) | −20.0046 | − | 15.9531i | −0.699016 | − | 0.557447i | ||||
\(820\) | −2.78664 | + | 0.420019i | −0.0973138 | + | 0.0146677i | ||||
\(821\) | −6.69009 | + | 1.52697i | −0.233486 | + | 0.0532916i | −0.337663 | − | 0.941267i | \(-0.609636\pi\) |
0.104177 | + | 0.994559i | \(0.466779\pi\) | |||||||
\(822\) | 26.8782 | + | 39.4231i | 0.937485 | + | 1.37504i | ||||
\(823\) | 17.4590 | + | 10.0800i | 0.608583 | + | 0.351366i | 0.772411 | − | 0.635123i | \(-0.219051\pi\) |
−0.163828 | + | 0.986489i | \(0.552384\pi\) | |||||||
\(824\) | 14.3036 | + | 24.7745i | 0.498289 | + | 0.863062i | ||||
\(825\) | 10.6045 | + | 5.10687i | 0.369202 | + | 0.177798i | ||||
\(826\) | −2.08803 | − | 6.76921i | −0.0726517 | − | 0.235531i | ||||
\(827\) | −13.7294 | − | 1.02888i | −0.477419 | − | 0.0357776i | −0.166152 | − | 0.986100i | \(-0.553134\pi\) |
−0.311267 | + | 0.950323i | \(0.600753\pi\) | |||||||
\(828\) | −1.16850 | − | 0.266703i | −0.0406082 | − | 0.00926857i | ||||
\(829\) | 1.56376 | + | 3.98440i | 0.0543117 | + | 0.138384i | 0.955454 | − | 0.295138i | \(-0.0953658\pi\) |
−0.901143 | + | 0.433522i | \(0.857271\pi\) | |||||||
\(830\) | 19.0161 | − | 1.42506i | 0.660058 | − | 0.0494645i | ||||
\(831\) | −88.2859 | − | 13.3070i | −3.06260 | − | 0.461613i | ||||
\(832\) | −43.4436 | + | 40.3098i | −1.50614 | + | 1.39749i | ||||
\(833\) | −7.34680 | − | 25.0503i | −0.254551 | − | 0.867942i | ||||
\(834\) | −15.3043 | − | 10.4343i | −0.529945 | − | 0.361310i | ||||
\(835\) | −12.6439 | + | 32.2161i | −0.437560 | + | 1.11489i | ||||
\(836\) | 1.15591 | − | 3.74736i | 0.0399779 | − | 0.129605i | ||||
\(837\) | −7.93700 | − | 7.36446i | −0.274343 | − | 0.254553i | ||||
\(838\) | −30.6098 | + | 24.4105i | −1.05740 | + | 0.843247i | ||||
\(839\) | 33.2192 | − | 26.4914i | 1.14685 | − | 0.914585i | 0.149607 | − | 0.988746i | \(-0.452199\pi\) |
0.997246 | + | 0.0741605i | \(0.0236277\pi\) | |||||||
\(840\) | −12.3340 | + | 13.2929i | −0.425562 | + | 0.458647i | ||||
\(841\) | −7.25271 | − | 2.23716i | −0.250093 | − | 0.0771436i | ||||
\(842\) | 5.26898 | − | 13.4252i | 0.181581 | − | 0.462661i | ||||
\(843\) | −8.63653 | + | 12.6675i | −0.297458 | + | 0.436291i | ||||
\(844\) | −3.94997 | − | 8.20220i | −0.135964 | − | 0.282331i | ||||
\(845\) | −56.4154 | − | 60.8013i | −1.94075 | − | 2.09163i | ||||
\(846\) | 45.0194 | + | 6.78558i | 1.54780 | + | 0.233293i | ||||
\(847\) | −5.14449 | + | 0.385526i | −0.176767 | + | 0.0132468i | ||||
\(848\) | 3.96295 | + | 10.0974i | 0.136088 | + | 0.346747i | ||||
\(849\) | −10.5792 | + | 46.3504i | −0.363076 | + | 1.59074i | ||||
\(850\) | 9.97653 | + | 2.42364i | 0.342192 | + | 0.0831300i | ||||
\(851\) | 3.40424 | − | 1.05007i | 0.116696 | − | 0.0359959i | ||||
\(852\) | 6.06336 | + | 2.91996i | 0.207727 | + | 0.100036i | ||||
\(853\) | −41.3073 | + | 23.8488i | −1.41434 | + | 0.816567i | −0.995793 | − | 0.0916303i | \(-0.970792\pi\) |
−0.418542 | + | 0.908197i | \(0.637459\pi\) | |||||||
\(854\) | 0.247295 | − | 0.428328i | 0.00846226 | − | 0.0146571i | ||||
\(855\) | 32.8262 | + | 48.1473i | 1.12263 | + | 1.64660i | ||||
\(856\) | −7.03189 | + | 1.60498i | −0.240345 | + | 0.0548572i | ||||
\(857\) | 3.67313 | + | 24.3696i | 0.125472 | + | 0.832450i | 0.959699 | + | 0.281029i | \(0.0906759\pi\) |
−0.834228 | + | 0.551420i | \(0.814086\pi\) | |||||||
\(858\) | −31.7336 | + | 39.7927i | −1.08337 | + | 1.35850i | ||||
\(859\) | 40.4521 | 1.38021 | 0.690105 | − | 0.723710i | \(-0.257564\pi\) | ||||
0.690105 | + | 0.723710i | \(0.257564\pi\) | |||||||
\(860\) | 2.67106 | + | 6.09741i | 0.0910823 | + | 0.207920i | ||||
\(861\) | − | 6.29600i | − | 0.214567i | ||||||
\(862\) | −10.6466 | − | 8.49039i | −0.362625 | − | 0.289184i | ||||
\(863\) | 33.2950 | − | 5.01842i | 1.13338 | − | 0.170829i | 0.444549 | − | 0.895755i | \(-0.353364\pi\) |
0.688827 | + | 0.724926i | \(0.258126\pi\) | |||||||
\(864\) | 9.82574 | − | 2.24266i | 0.334279 | − | 0.0762969i | ||||
\(865\) | 46.7088 | − | 31.8455i | 1.58815 | − | 1.08278i | ||||
\(866\) | −12.9538 | + | 22.4367i | −0.440188 | + | 0.762429i | ||||
\(867\) | −46.2476 | + | 9.20955i | −1.57065 | + | 0.312773i | ||||
\(868\) | −0.653055 | − | 0.314495i | −0.0221661 | − | 0.0106746i | ||||
\(869\) | 11.3749 | − | 3.50870i | 0.385868 | − | 0.119025i | ||||
\(870\) | −56.0975 | − | 4.20392i | −1.90188 | − | 0.142526i | ||||
\(871\) | −12.9913 | + | 56.9187i | −0.440195 | + | 1.92862i | ||||
\(872\) | −26.0497 | + | 10.2237i | −0.882153 | + | 0.346219i | ||||
\(873\) | −59.7724 | + | 4.47932i | −2.02299 | + | 0.151602i | ||||
\(874\) | 0.591380 | − | 3.92355i | 0.0200037 | − | 0.132716i | ||||
\(875\) | 4.80778 | − | 4.46097i | 0.162533 | − | 0.150808i | ||||
\(876\) | 10.6987 | − | 5.15221i | 0.361475 | − | 0.174077i | ||||
\(877\) | −3.02899 | + | 4.44271i | −0.102282 | + | 0.150020i | −0.873968 | − | 0.485984i | \(-0.838461\pi\) |
0.771686 | + | 0.636004i | \(0.219414\pi\) | |||||||
\(878\) | 4.56937 | + | 1.79335i | 0.154209 | + | 0.0605225i | ||||
\(879\) | −12.5510 | + | 40.6894i | −0.423335 | + | 1.37242i | ||||
\(880\) | 12.9090 | + | 11.9778i | 0.435162 | + | 0.403771i | ||||
\(881\) | 39.1823 | − | 31.2469i | 1.32009 | − | 1.05273i | 0.325862 | − | 0.945417i | \(-0.394346\pi\) |
0.994225 | − | 0.107317i | \(-0.0342258\pi\) | |||||||
\(882\) | 23.5516 | + | 29.5328i | 0.793024 | + | 0.994420i | ||||
\(883\) | 26.8527 | + | 24.9157i | 0.903667 | + | 0.838480i | 0.987438 | − | 0.158005i | \(-0.0505062\pi\) |
−0.0837717 | + | 0.996485i | \(0.526697\pi\) | |||||||
\(884\) | 4.72140 | − | 9.46482i | 0.158798 | − | 0.318336i | ||||
\(885\) | −18.2254 | + | 46.4376i | −0.612641 | + | 1.56098i | ||||
\(886\) | 16.5910 | + | 11.3116i | 0.557386 | + | 0.380020i | ||||
\(887\) | −19.9218 | − | 41.3680i | −0.668908 | − | 1.38900i | −0.908400 | − | 0.418103i | \(-0.862695\pi\) |
0.239492 | − | 0.970898i | \(-0.423019\pi\) | |||||||
\(888\) | −33.0908 | + | 30.7038i | −1.11045 | + | 1.03035i | ||||
\(889\) | 1.64241 | − | 10.8967i | 0.0550847 | − | 0.365463i | ||||
\(890\) | 15.5174 | − | 1.16287i | 0.520144 | − | 0.0389794i | ||||
\(891\) | −2.10935 | + | 0.827858i | −0.0706659 | + | 0.0277343i | ||||
\(892\) | −0.749639 | + | 3.28438i | −0.0250998 | + | 0.109969i | ||||
\(893\) | 2.68349 | − | 35.8087i | 0.0897996 | − | 1.19829i | ||||
\(894\) | −21.6612 | − | 70.2240i | −0.724460 | − | 2.34864i | ||||
\(895\) | −21.3777 | + | 44.3913i | −0.714579 | + | 1.48384i | ||||
\(896\) | −4.96319 | + | 2.86550i | −0.165809 | + | 0.0957296i | ||||
\(897\) | 6.13454 | − | 10.6253i | 0.204826 | − | 0.354770i | ||||
\(898\) | 3.35338 | + | 4.91850i | 0.111904 | + | 0.164132i | ||||
\(899\) | −3.10093 | − | 13.5861i | −0.103422 | − | 0.453120i | ||||
\(900\) | 3.49977 | − | 0.527505i | 0.116659 | − | 0.0175835i | ||||
\(901\) | −9.72038 | − | 10.7730i | −0.323833 | − | 0.358900i | ||||
\(902\) | −7.64084 | −0.254412 | ||||||||
\(903\) | −14.3595 | + | 3.87049i | −0.477856 | + | 0.128802i | ||||
\(904\) | − | 7.91786i | − | 0.263344i | ||||||
\(905\) | −24.8322 | + | 31.1386i | −0.825451 | + | 1.03508i | ||||
\(906\) | −5.47899 | − | 36.3507i | −0.182027 | − | 1.20767i | ||||
\(907\) | 48.0310 | − | 10.9628i | 1.59484 | − | 0.364013i | 0.669401 | − | 0.742901i | \(-0.266551\pi\) |
0.925442 | + | 0.378889i | \(0.123694\pi\) | |||||||
\(908\) | −2.65200 | − | 3.88977i | −0.0880097 | − | 0.129087i | ||||
\(909\) | 19.6944 | − | 34.1118i | 0.653223 | − | 1.13142i | ||||
\(910\) | −9.13706 | − | 15.8258i | −0.302890 | − | 0.524622i | ||||
\(911\) | 23.8250 | − | 49.4731i | 0.789357 | − | 1.63912i | 0.0204207 | − | 0.999791i | \(-0.493499\pi\) |
0.768936 | − | 0.639325i | \(-0.220786\pi\) | |||||||
\(912\) | 11.8586 | + | 38.4445i | 0.392676 | + | 1.27302i | ||||
\(913\) | −12.2837 | − | 0.920536i | −0.406531 | − | 0.0304653i | ||||
\(914\) | 3.76493 | − | 16.4952i | 0.124533 | − | 0.545613i | ||||
\(915\) | −3.24221 | + | 1.27247i | −0.107184 | + | 0.0420667i | ||||
\(916\) | 0.0560496 | + | 0.747930i | 0.00185193 | + | 0.0247123i | ||||
\(917\) | −11.0210 | − | 1.66115i | −0.363946 | − | 0.0548560i | ||||
\(918\) | 20.5392 | − | 13.5885i | 0.677893 | − | 0.448489i | ||||
\(919\) | 3.13870 | − | 1.51152i | 0.103536 | − | 0.0498604i | −0.381399 | − | 0.924411i | \(-0.624558\pi\) |
0.484935 | + | 0.874550i | \(0.338843\pi\) | |||||||
\(920\) | −4.38317 | − | 2.98839i | −0.144509 | − | 0.0985244i | ||||
\(921\) | 5.52808 | + | 2.16961i | 0.182156 | + | 0.0714911i | ||||
\(922\) | −33.9061 | − | 10.4587i | −1.11664 | − | 0.344438i | ||||
\(923\) | −28.5878 | + | 30.8103i | −0.940979 | + | 1.01413i | ||||
\(924\) | 1.47775 | − | 1.17846i | 0.0486142 | − | 0.0387686i | ||||
\(925\) | −8.22488 | + | 6.55912i | −0.270432 | + | 0.215663i | ||||
\(926\) | 13.0379 | + | 12.0974i | 0.428451 | + | 0.397544i | ||||
\(927\) | 42.3395 | + | 13.0600i | 1.39061 | + | 0.428947i | ||||
\(928\) | 12.0749 | + | 4.73904i | 0.396377 | + | 0.155567i | ||||
\(929\) | 15.2208 | − | 22.3249i | 0.499380 | − | 0.732455i | −0.490950 | − | 0.871188i | \(-0.663350\pi\) |
0.990330 | + | 0.138732i | \(0.0443027\pi\) | |||||||
\(930\) | −9.29591 | − | 19.3032i | −0.304825 | − | 0.632976i | ||||
\(931\) | 21.8400 | − | 20.2645i | 0.715777 | − | 0.664144i | ||||
\(932\) | −0.501114 | + | 3.32468i | −0.0164145 | + | 0.108903i | ||||
\(933\) | 1.25945 | + | 16.8061i | 0.0412324 | + | 0.550208i | ||||
\(934\) | −16.4167 | − | 41.8291i | −0.537171 | − | 1.36869i | ||||
\(935\) | −21.8061 | − | 8.91044i | −0.713135 | − | 0.291402i | ||||
\(936\) | −7.08804 | + | 94.5833i | −0.231680 | + | 3.09155i | ||||
\(937\) | −15.2430 | + | 4.70184i | −0.497967 | + | 0.153603i | −0.533557 | − | 0.845764i | \(-0.679145\pi\) |
0.0355901 | + | 0.999366i | \(0.488669\pi\) | |||||||
\(938\) | −3.94845 | + | 8.19904i | −0.128921 | + | 0.267708i | ||||
\(939\) | 30.9921 | + | 53.6799i | 1.01139 | + | 1.75178i | ||||
\(940\) | −6.70895 | − | 3.87342i | −0.218822 | − | 0.126337i | ||||
\(941\) | 16.7115 | + | 24.5113i | 0.544779 | + | 0.799044i | 0.995613 | − | 0.0935634i | \(-0.0298258\pi\) |
−0.450834 | + | 0.892608i | \(0.648873\pi\) | |||||||
\(942\) | 71.5854 | − | 16.3389i | 2.33238 | − | 0.532350i | ||||
\(943\) | 1.82132 | − | 0.274519i | 0.0593102 | − | 0.00893958i | ||||
\(944\) | −13.1013 | + | 16.4286i | −0.426412 | + | 0.534704i | ||||
\(945\) | 10.1371i | 0.329760i | ||||||||
\(946\) | 4.69724 | + | 17.4268i | 0.152721 | + | 0.566594i | ||||
\(947\) | 2.29064i | 0.0744359i | 0.999307 | + | 0.0372180i | \(0.0118496\pi\) | ||||
−0.999307 | + | 0.0372180i | \(0.988150\pi\) | |||||||
\(948\) | 3.65803 | − | 4.58703i | 0.118807 | − | 0.148980i | ||||
\(949\) | 11.0532 | + | 73.3331i | 0.358801 | + | 2.38049i | ||||
\(950\) | 2.60728 | + | 11.4233i | 0.0845915 | + | 0.370619i | ||||
\(951\) | 68.4575 | − | 46.6736i | 2.21989 | − | 1.51349i | ||||
\(952\) | 6.48101 | − | 7.89886i | 0.210051 | − | 0.256004i | ||||
\(953\) | −28.7228 | − | 49.7493i | −0.930423 | − | 1.61154i | −0.782600 | − | 0.622525i | \(-0.786107\pi\) |
−0.147823 | − | 0.989014i | \(-0.547227\pi\) | |||||||
\(954\) | 18.9165 | + | 9.10969i | 0.612443 | + | 0.294937i | ||||
\(955\) | 0.564375 | + | 1.82966i | 0.0182627 | + | 0.0592063i | ||||
\(956\) | 0.144457 | − | 1.92764i | 0.00467207 | − | 0.0623445i | ||||
\(957\) | 35.4274 | + | 8.08608i | 1.14521 | + | 0.261386i | ||||
\(958\) | 31.2402 | − | 12.2609i | 1.00932 | − | 0.396130i | ||||
\(959\) | 11.0353 | − | 0.826980i | 0.356348 | − | 0.0267046i | ||||
\(960\) | 64.3262 | + | 9.69562i | 2.07612 | + | 0.312925i | ||||
\(961\) | −18.8340 | + | 17.4754i | −0.607549 | + | 0.563723i | ||||
\(962\) | −19.7378 | − | 40.9859i | −0.636372 | − | 1.32144i | ||||
\(963\) | −6.29306 | + | 9.23023i | −0.202791 | + | 0.297440i | ||||
\(964\) | 9.66157 | + | 3.79189i | 0.311178 | + | 0.122128i | ||||
\(965\) | 33.7133 | + | 10.3992i | 1.08527 | + | 0.334762i | ||||
\(966\) | 1.30077 | − | 1.40190i | 0.0418517 | − | 0.0451054i | ||||
\(967\) | −13.0813 | − | 16.4034i | −0.420666 | − | 0.527498i | 0.525668 | − | 0.850690i | \(-0.323815\pi\) |
−0.946333 | + | 0.323192i | \(0.895244\pi\) | |||||||
\(968\) | 11.9235 | + | 14.9515i | 0.383235 | + | 0.480561i | ||||
\(969\) | −32.9656 | − | 42.5389i | −1.05901 | − | 1.36655i | ||||
\(970\) | −40.9073 | − | 12.6182i | −1.31346 | − | 0.405147i | ||||
\(971\) | 9.58709 | − | 24.4275i | 0.307664 | − | 0.783916i | −0.690499 | − | 0.723333i | \(-0.742609\pi\) |
0.998163 | − | 0.0605824i | \(-0.0192958\pi\) | |||||||
\(972\) | −3.68552 | + | 5.40566i | −0.118213 | + | 0.173387i | ||||
\(973\) | −3.87054 | + | 1.86396i | −0.124084 | + | 0.0597557i | ||||
\(974\) | 11.4309 | + | 12.3195i | 0.366269 | + | 0.394744i | ||||
\(975\) | −5.39985 | + | 35.8257i | −0.172934 | + | 1.14734i | ||||
\(976\) | −1.46299 | + | 0.109636i | −0.0468291 | + | 0.00350936i | ||||
\(977\) | 14.3113 | + | 36.4646i | 0.457859 | + | 1.16661i | 0.954384 | + | 0.298583i | \(0.0965141\pi\) |
−0.496524 | + | 0.868023i | \(0.665391\pi\) | |||||||
\(978\) | 18.2751 | − | 80.0684i | 0.584373 | − | 2.56031i | ||||
\(979\) | −10.0237 | − | 0.751170i | −0.320358 | − | 0.0240075i | ||||
\(980\) | −1.89452 | − | 6.14188i | −0.0605182 | − | 0.196195i | ||||
\(981\) | −18.8058 | + | 39.0506i | −0.600423 | + | 1.24679i | ||||
\(982\) | 1.65501 | + | 2.86656i | 0.0528134 | + | 0.0914756i | ||||
\(983\) | −22.4097 | − | 12.9383i | −0.714759 | − | 0.412666i | 0.0980618 | − | 0.995180i | \(-0.468736\pi\) |
−0.812821 | + | 0.582514i | \(0.802069\pi\) | |||||||
\(984\) | −19.2835 | + | 13.1472i | −0.614734 | + | 0.419119i | ||||
\(985\) | −2.20568 | − | 9.66372i | −0.0702788 | − | 0.307912i | ||||
\(986\) | 31.6938 | + | 0.441132i | 1.00934 | + | 0.0140485i | ||||
\(987\) | 10.7909 | − | 13.5314i | 0.343479 | − | 0.430709i | ||||
\(988\) | 12.0712 | 0.384038 | ||||||||
\(989\) | −1.74577 | − | 3.98519i | −0.0555123 | − | 0.126722i | ||||
\(990\) | 34.0853 | 1.08330 | ||||||||
\(991\) | 46.3538 | + | 36.9659i | 1.47248 | + | 1.17426i | 0.946041 | + | 0.324048i | \(0.105044\pi\) |
0.526437 | + | 0.850214i | \(0.323528\pi\) | |||||||
\(992\) | 0.736311 | + | 4.88510i | 0.0233779 | + | 0.155102i | ||||
\(993\) | 79.7481 | − | 18.2020i | 2.53073 | − | 0.577623i | ||||
\(994\) | −5.41299 | + | 3.69052i | −0.171690 | + | 0.117056i | ||||
\(995\) | 2.70769 | − | 4.68986i | 0.0858396 | − | 0.148679i | ||||
\(996\) | −5.25786 | + | 3.03562i | −0.166602 | + | 0.0961874i | ||||
\(997\) | −4.77165 | + | 9.90843i | −0.151120 | + | 0.313803i | −0.962762 | − | 0.270352i | \(-0.912860\pi\) |
0.811642 | + | 0.584155i | \(0.198574\pi\) | |||||||
\(998\) | −0.986707 | − | 3.19882i | −0.0312336 | − | 0.101257i | ||||
\(999\) | −1.88581 | + | 25.1644i | −0.0596645 | + | 0.796167i |
(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.z.a.67.17 | ✓ | 768 | |
17.16 | even | 2 | inner | 731.2.z.a.67.18 | yes | 768 | |
43.9 | even | 21 | inner | 731.2.z.a.611.18 | yes | 768 | |
731.611 | even | 42 | inner | 731.2.z.a.611.17 | yes | 768 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.z.a.67.17 | ✓ | 768 | 1.1 | even | 1 | trivial | |
731.2.z.a.67.18 | yes | 768 | 17.16 | even | 2 | inner | |
731.2.z.a.611.17 | yes | 768 | 731.611 | even | 42 | inner | |
731.2.z.a.611.18 | yes | 768 | 43.9 | even | 21 | inner |