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 | 35.14 | ||
Character | \(\chi\) | \(=\) | 731.35 |
Dual form | 731.2.k.b.188.14 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0946208 | + | 0.414561i | −0.0669070 | + | 0.293139i | −0.997301 | − | 0.0734225i | \(-0.976608\pi\) |
0.930394 | + | 0.366561i | \(0.119465\pi\) | |||||||
\(3\) | −0.485779 | − | 2.12833i | −0.280464 | − | 1.22879i | −0.897200 | − | 0.441624i | \(-0.854402\pi\) |
0.616736 | − | 0.787170i | \(-0.288455\pi\) | |||||||
\(4\) | 1.63903 | + | 0.789315i | 0.819515 | + | 0.394658i | ||||
\(5\) | −0.816059 | + | 1.02331i | −0.364953 | + | 0.457636i | −0.930074 | − | 0.367371i | \(-0.880258\pi\) |
0.565122 | + | 0.825008i | \(0.308829\pi\) | |||||||
\(6\) | 0.928289 | 0.378972 | ||||||||
\(7\) | −4.53691 | −1.71479 | −0.857396 | − | 0.514657i | \(-0.827919\pi\) | ||||
−0.857396 | + | 0.514657i | \(0.827919\pi\) | |||||||
\(8\) | −1.01255 | + | 1.26970i | −0.357990 | + | 0.448905i | ||||
\(9\) | −1.59092 | + | 0.766147i | −0.530307 | + | 0.255382i | ||||
\(10\) | −0.347007 | − | 0.435132i | −0.109733 | − | 0.137601i | ||||
\(11\) | 3.80652 | − | 1.83312i | 1.14771 | − | 0.552707i | 0.239364 | − | 0.970930i | \(-0.423061\pi\) |
0.908344 | + | 0.418223i | \(0.137347\pi\) | |||||||
\(12\) | 0.883722 | − | 3.87184i | 0.255108 | − | 1.11770i | ||||
\(13\) | −4.05863 | + | 5.08937i | −1.12566 | + | 1.41154i | −0.226451 | + | 0.974023i | \(0.572712\pi\) |
−0.899212 | + | 0.437514i | \(0.855859\pi\) | |||||||
\(14\) | 0.429287 | − | 1.88083i | 0.114732 | − | 0.502672i | ||||
\(15\) | 2.57436 | + | 1.23975i | 0.664697 | + | 0.320101i | ||||
\(16\) | 1.83793 | + | 2.30469i | 0.459482 | + | 0.576173i | ||||
\(17\) | −0.623490 | − | 0.781831i | −0.151218 | − | 0.189622i | ||||
\(18\) | −0.167080 | − | 0.732027i | −0.0393813 | − | 0.172541i | ||||
\(19\) | −5.11082 | − | 2.46124i | −1.17250 | − | 0.564648i | −0.256785 | − | 0.966469i | \(-0.582663\pi\) |
−0.915718 | + | 0.401821i | \(0.868378\pi\) | |||||||
\(20\) | −2.14526 | + | 1.03310i | −0.479694 | + | 0.231008i | ||||
\(21\) | 2.20394 | + | 9.65607i | 0.480938 | + | 2.10713i | ||||
\(22\) | 0.399765 | + | 1.75148i | 0.0852302 | + | 0.373418i | ||||
\(23\) | −5.76289 | + | 2.77526i | −1.20165 | + | 0.578682i | −0.924144 | − | 0.382043i | \(-0.875220\pi\) |
−0.277501 | + | 0.960725i | \(0.589506\pi\) | |||||||
\(24\) | 3.19421 | + | 1.53825i | 0.652016 | + | 0.313994i | ||||
\(25\) | 0.731402 | + | 3.20448i | 0.146280 | + | 0.640896i | ||||
\(26\) | −1.72582 | − | 2.16411i | −0.338461 | − | 0.424417i | ||||
\(27\) | −1.67991 | − | 2.10654i | −0.323299 | − | 0.405404i | ||||
\(28\) | −7.43614 | − | 3.58106i | −1.40530 | − | 0.676756i | ||||
\(29\) | −1.22255 | + | 5.35633i | −0.227021 | + | 0.994646i | 0.725032 | + | 0.688715i | \(0.241825\pi\) |
−0.952054 | + | 0.305931i | \(0.901032\pi\) | |||||||
\(30\) | −0.757539 | + | 0.949924i | −0.138307 | + | 0.173432i | ||||
\(31\) | 0.705545 | − | 3.09119i | 0.126720 | − | 0.555195i | −0.871212 | − | 0.490907i | \(-0.836665\pi\) |
0.997931 | − | 0.0642875i | \(-0.0204775\pi\) | |||||||
\(32\) | −4.05569 | + | 1.95312i | −0.716952 | + | 0.345266i | ||||
\(33\) | −5.75062 | − | 7.21105i | −1.00105 | − | 1.25528i | ||||
\(34\) | 0.383112 | − | 0.184497i | 0.0657032 | − | 0.0316410i | ||||
\(35\) | 3.70239 | − | 4.64265i | 0.625818 | − | 0.784751i | ||||
\(36\) | −3.21230 | −0.535383 | ||||||||
\(37\) | −0.568857 | −0.0935195 | −0.0467598 | − | 0.998906i | \(-0.514890\pi\) | ||||
−0.0467598 | + | 0.998906i | \(0.514890\pi\) | |||||||
\(38\) | 1.50393 | − | 1.88586i | 0.243969 | − | 0.305927i | ||||
\(39\) | 12.8035 | + | 6.16583i | 2.05020 | + | 0.987323i | ||||
\(40\) | −0.472988 | − | 2.07230i | −0.0747859 | − | 0.327659i | ||||
\(41\) | −1.45522 | + | 6.37574i | −0.227267 | + | 0.995723i | 0.724590 | + | 0.689181i | \(0.242029\pi\) |
−0.951857 | + | 0.306543i | \(0.900828\pi\) | |||||||
\(42\) | −4.21157 | −0.649859 | ||||||||
\(43\) | 4.55222 | + | 4.71988i | 0.694208 | + | 0.719775i | ||||
\(44\) | 7.68591 | 1.15869 | ||||||||
\(45\) | 0.514283 | − | 2.25322i | 0.0766648 | − | 0.335890i | ||||
\(46\) | −0.605225 | − | 2.65167i | −0.0892356 | − | 0.390967i | ||||
\(47\) | −4.47293 | − | 2.15405i | −0.652444 | − | 0.314201i | 0.0782215 | − | 0.996936i | \(-0.475076\pi\) |
−0.730666 | + | 0.682735i | \(0.760790\pi\) | |||||||
\(48\) | 4.01233 | − | 5.03130i | 0.579130 | − | 0.726205i | ||||
\(49\) | 13.5836 | 1.94051 | ||||||||
\(50\) | −1.39766 | −0.197659 | ||||||||
\(51\) | −1.36112 | + | 1.70679i | −0.190595 | + | 0.238999i | ||||
\(52\) | −10.6693 | + | 5.13808i | −1.47957 | + | 0.712524i | ||||
\(53\) | 5.95948 | + | 7.47295i | 0.818598 | + | 1.02649i | 0.999079 | + | 0.0429106i | \(0.0136631\pi\) |
−0.180481 | + | 0.983578i | \(0.557766\pi\) | |||||||
\(54\) | 1.03224 | − | 0.497102i | 0.140471 | − | 0.0676471i | ||||
\(55\) | −1.23050 | + | 5.39117i | −0.165920 | + | 0.726945i | ||||
\(56\) | 4.59385 | − | 5.76050i | 0.613879 | − | 0.769780i | ||||
\(57\) | −2.75562 | + | 12.0732i | −0.364991 | + | 1.59913i | ||||
\(58\) | −2.10485 | − | 1.01364i | −0.276380 | − | 0.133098i | ||||
\(59\) | −2.87966 | − | 3.61098i | −0.374899 | − | 0.470109i | 0.558211 | − | 0.829699i | \(-0.311488\pi\) |
−0.933110 | + | 0.359590i | \(0.882917\pi\) | |||||||
\(60\) | 3.24091 | + | 4.06397i | 0.418399 | + | 0.524656i | ||||
\(61\) | −0.979013 | − | 4.28934i | −0.125350 | − | 0.549193i | −0.998133 | − | 0.0610845i | \(-0.980544\pi\) |
0.872783 | − | 0.488109i | \(-0.162313\pi\) | |||||||
\(62\) | 1.21473 | + | 0.584983i | 0.154271 | + | 0.0742929i | ||||
\(63\) | 7.21787 | − | 3.47595i | 0.909367 | − | 0.437928i | ||||
\(64\) | 0.885965 | + | 3.88167i | 0.110746 | + | 0.485208i | ||||
\(65\) | −1.89589 | − | 8.30645i | −0.235157 | − | 1.03029i | ||||
\(66\) | 3.53355 | − | 1.70167i | 0.434950 | − | 0.209461i | ||||
\(67\) | −4.83874 | − | 2.33021i | −0.591146 | − | 0.284681i | 0.114298 | − | 0.993447i | \(-0.463538\pi\) |
−0.705444 | + | 0.708766i | \(0.749252\pi\) | |||||||
\(68\) | −0.404807 | − | 1.77358i | −0.0490901 | − | 0.215078i | ||||
\(69\) | 8.70617 | + | 10.9172i | 1.04810 | + | 1.31428i | ||||
\(70\) | 1.57434 | + | 1.97416i | 0.188169 | + | 0.235957i | ||||
\(71\) | −2.62253 | − | 1.26295i | −0.311237 | − | 0.149884i | 0.271744 | − | 0.962370i | \(-0.412400\pi\) |
−0.582981 | + | 0.812486i | \(0.698114\pi\) | |||||||
\(72\) | 0.638112 | − | 2.79575i | 0.0752022 | − | 0.329482i | ||||
\(73\) | 9.83465 | − | 12.3323i | 1.15106 | − | 1.44338i | 0.274827 | − | 0.961494i | \(-0.411380\pi\) |
0.876232 | − | 0.481889i | \(-0.160049\pi\) | |||||||
\(74\) | 0.0538257 | − | 0.235826i | 0.00625711 | − | 0.0274142i | ||||
\(75\) | 6.46491 | − | 3.11334i | 0.746504 | − | 0.359497i | ||||
\(76\) | −6.43410 | − | 8.06810i | −0.738042 | − | 0.925475i | ||||
\(77\) | −17.2698 | + | 8.31672i | −1.96808 | + | 0.947778i | ||||
\(78\) | −3.76759 | + | 4.72440i | −0.426595 | + | 0.534933i | ||||
\(79\) | −15.3459 | −1.72655 | −0.863273 | − | 0.504737i | \(-0.831589\pi\) | ||||
−0.863273 | + | 0.504737i | \(0.831589\pi\) | |||||||
\(80\) | −3.85826 | −0.431367 | ||||||||
\(81\) | −6.97021 | + | 8.74037i | −0.774468 | + | 0.971152i | ||||
\(82\) | −2.50544 | − | 1.20656i | −0.276679 | − | 0.133242i | ||||
\(83\) | 0.813344 | + | 3.56349i | 0.0892761 | + | 0.391144i | 0.999749 | − | 0.0224256i | \(-0.00713890\pi\) |
−0.910472 | + | 0.413570i | \(0.864282\pi\) | |||||||
\(84\) | −4.00937 | + | 17.5662i | −0.437458 | + | 1.91663i | ||||
\(85\) | 1.30886 | 0.141966 | ||||||||
\(86\) | −2.38741 | + | 1.44058i | −0.257441 | + | 0.155341i | ||||
\(87\) | 11.9940 | 1.28589 | ||||||||
\(88\) | −1.52678 | + | 6.68925i | −0.162755 | + | 0.713076i | ||||
\(89\) | 2.54458 | + | 11.1485i | 0.269724 | + | 1.18174i | 0.910334 | + | 0.413874i | \(0.135824\pi\) |
−0.640610 | + | 0.767867i | \(0.721318\pi\) | |||||||
\(90\) | 0.885436 | + | 0.426403i | 0.0933331 | + | 0.0449469i | ||||
\(91\) | 18.4137 | − | 23.0900i | 1.93028 | − | 2.42049i | ||||
\(92\) | −11.6361 | −1.21315 | ||||||||
\(93\) | −6.92183 | −0.717761 | ||||||||
\(94\) | 1.31622 | − | 1.65048i | 0.135757 | − | 0.170234i | ||||
\(95\) | 6.68934 | − | 3.22142i | 0.686312 | − | 0.330510i | ||||
\(96\) | 6.12706 | + | 7.68309i | 0.625340 | + | 0.784152i | ||||
\(97\) | 8.93808 | − | 4.30435i | 0.907524 | − | 0.437041i | 0.0789236 | − | 0.996881i | \(-0.474852\pi\) |
0.828601 | + | 0.559840i | \(0.189137\pi\) | |||||||
\(98\) | −1.28529 | + | 5.63122i | −0.129834 | + | 0.568840i | ||||
\(99\) | −4.65143 | + | 5.83271i | −0.467486 | + | 0.586209i | ||||
\(100\) | −1.33056 | + | 5.82955i | −0.133056 | + | 0.582955i | ||||
\(101\) | −14.4356 | − | 6.95180i | −1.43639 | − | 0.691730i | −0.456218 | − | 0.889868i | \(-0.650796\pi\) |
−0.980174 | + | 0.198138i | \(0.936511\pi\) | |||||||
\(102\) | −0.578779 | − | 0.725766i | −0.0573076 | − | 0.0718615i | ||||
\(103\) | 3.16399 | + | 3.96752i | 0.311757 | + | 0.390931i | 0.912882 | − | 0.408224i | \(-0.133852\pi\) |
−0.601125 | + | 0.799155i | \(0.705280\pi\) | |||||||
\(104\) | −2.35238 | − | 10.3065i | −0.230670 | − | 1.01063i | ||||
\(105\) | −11.6797 | − | 5.62463i | −1.13982 | − | 0.548907i | ||||
\(106\) | −3.66189 | + | 1.76347i | −0.355674 | + | 0.171283i | ||||
\(107\) | 1.49169 | + | 6.53552i | 0.144207 | + | 0.631812i | 0.994431 | + | 0.105391i | \(0.0336094\pi\) |
−0.850224 | + | 0.526421i | \(0.823533\pi\) | |||||||
\(108\) | −1.09070 | − | 4.77866i | −0.104952 | − | 0.459827i | ||||
\(109\) | 10.2021 | − | 4.91305i | 0.977180 | − | 0.470585i | 0.124046 | − | 0.992277i | \(-0.460413\pi\) |
0.853134 | + | 0.521692i | \(0.174699\pi\) | |||||||
\(110\) | −2.11854 | − | 1.02023i | −0.201995 | − | 0.0972755i | ||||
\(111\) | 0.276339 | + | 1.21072i | 0.0262289 | + | 0.114916i | ||||
\(112\) | −8.33853 | − | 10.4562i | −0.787917 | − | 0.988017i | ||||
\(113\) | −3.94966 | − | 4.95272i | −0.371553 | − | 0.465912i | 0.560543 | − | 0.828126i | \(-0.310593\pi\) |
−0.932095 | + | 0.362213i | \(0.882021\pi\) | |||||||
\(114\) | −4.74432 | − | 2.28475i | −0.444347 | − | 0.213986i | ||||
\(115\) | 1.86292 | − | 8.16198i | 0.173718 | − | 0.761108i | ||||
\(116\) | −6.23163 | + | 7.81421i | −0.578592 | + | 0.725531i | ||||
\(117\) | 2.55776 | − | 11.2063i | 0.236465 | − | 1.03602i | ||||
\(118\) | 1.76944 | − | 0.852120i | 0.162891 | − | 0.0784440i | ||||
\(119\) | 2.82872 | + | 3.54710i | 0.259308 | + | 0.325162i | ||||
\(120\) | −4.18077 | + | 2.01335i | −0.381650 | + | 0.183793i | ||||
\(121\) | 4.27085 | − | 5.35548i | 0.388259 | − | 0.486861i | ||||
\(122\) | 1.87083 | 0.169377 | ||||||||
\(123\) | 14.2766 | 1.28728 | ||||||||
\(124\) | 3.59634 | − | 4.50966i | 0.322961 | − | 0.404980i | ||||
\(125\) | −9.77223 | − | 4.70606i | −0.874055 | − | 0.420923i | ||||
\(126\) | 0.758030 | + | 3.32115i | 0.0675307 | + | 0.295871i | ||||
\(127\) | 2.92519 | − | 12.8161i | 0.259568 | − | 1.13724i | −0.662146 | − | 0.749374i | \(-0.730354\pi\) |
0.921715 | − | 0.387868i | \(-0.126789\pi\) | |||||||
\(128\) | −10.6960 | −0.945400 | ||||||||
\(129\) | 7.83411 | − | 11.9815i | 0.689755 | − | 1.05491i | ||||
\(130\) | 3.62292 | 0.317751 | ||||||||
\(131\) | −0.331944 | + | 1.45434i | −0.0290020 | + | 0.127066i | −0.987357 | − | 0.158515i | \(-0.949329\pi\) |
0.958355 | + | 0.285581i | \(0.0921866\pi\) | |||||||
\(132\) | −3.73365 | − | 16.3582i | −0.324972 | − | 1.42380i | ||||
\(133\) | 23.1874 | + | 11.1664i | 2.01060 | + | 0.968254i | ||||
\(134\) | 1.42386 | − | 1.78547i | 0.123003 | − | 0.154241i | ||||
\(135\) | 3.52654 | 0.303516 | ||||||||
\(136\) | 1.62400 | 0.139257 | ||||||||
\(137\) | 7.19034 | − | 9.01640i | 0.614312 | − | 0.770323i | −0.373220 | − | 0.927743i | \(-0.621746\pi\) |
0.987532 | + | 0.157420i | \(0.0503176\pi\) | |||||||
\(138\) | −5.34963 | + | 2.57624i | −0.455391 | + | 0.219305i | ||||
\(139\) | 0.514765 | + | 0.645494i | 0.0436618 | + | 0.0547501i | 0.803183 | − | 0.595732i | \(-0.203138\pi\) |
−0.759521 | + | 0.650483i | \(0.774567\pi\) | |||||||
\(140\) | 9.73285 | − | 4.68709i | 0.822576 | − | 0.396132i | ||||
\(141\) | −2.41169 | + | 10.5663i | −0.203101 | + | 0.889842i | ||||
\(142\) | 0.771714 | − | 0.967699i | 0.0647608 | − | 0.0812075i | ||||
\(143\) | −6.11983 | + | 26.8127i | −0.511766 | + | 2.24219i | ||||
\(144\) | −4.68974 | − | 2.25846i | −0.390811 | − | 0.188205i | ||||
\(145\) | −4.48349 | − | 5.62212i | −0.372334 | − | 0.466892i | ||||
\(146\) | 4.18191 | + | 5.24395i | 0.346098 | + | 0.433993i | ||||
\(147\) | −6.59862 | − | 28.9104i | −0.544245 | − | 2.38449i | ||||
\(148\) | −0.932374 | − | 0.449008i | −0.0766407 | − | 0.0369082i | ||||
\(149\) | −10.5565 | + | 5.08374i | −0.864822 | + | 0.416476i | −0.813058 | − | 0.582183i | \(-0.802199\pi\) |
−0.0517641 | + | 0.998659i | \(0.516484\pi\) | |||||||
\(150\) | 0.678953 | + | 2.97469i | 0.0554363 | + | 0.242882i | ||||
\(151\) | 0.923775 | + | 4.04732i | 0.0751757 | + | 0.329366i | 0.998506 | − | 0.0546401i | \(-0.0174012\pi\) |
−0.923330 | + | 0.384007i | \(0.874544\pi\) | |||||||
\(152\) | 8.29999 | − | 3.99706i | 0.673218 | − | 0.324205i | ||||
\(153\) | 1.59092 | + | 0.766147i | 0.128618 | + | 0.0619394i | ||||
\(154\) | −1.81370 | − | 7.94634i | −0.146152 | − | 0.640334i | ||||
\(155\) | 2.58747 | + | 3.24459i | 0.207831 | + | 0.260611i | ||||
\(156\) | 16.1185 | + | 20.2120i | 1.29051 | + | 1.61825i | ||||
\(157\) | −11.0285 | − | 5.31103i | −0.880167 | − | 0.423866i | −0.0614815 | − | 0.998108i | \(-0.519583\pi\) |
−0.818686 | + | 0.574242i | \(0.805297\pi\) | |||||||
\(158\) | 1.45204 | − | 6.36180i | 0.115518 | − | 0.506118i | ||||
\(159\) | 13.0100 | − | 16.3140i | 1.03176 | − | 1.29378i | ||||
\(160\) | 1.31105 | − | 5.74408i | 0.103647 | − | 0.454109i | ||||
\(161\) | 26.1457 | − | 12.5911i | 2.06057 | − | 0.992319i | ||||
\(162\) | −2.96389 | − | 3.71660i | −0.232865 | − | 0.292004i | ||||
\(163\) | 13.2860 | − | 6.39821i | 1.04064 | − | 0.501147i | 0.166106 | − | 0.986108i | \(-0.446881\pi\) |
0.874536 | + | 0.484961i | \(0.161166\pi\) | |||||||
\(164\) | −7.41762 | + | 9.30140i | −0.579219 | + | 0.726317i | ||||
\(165\) | 12.0720 | 0.939801 | ||||||||
\(166\) | −1.55424 | −0.120633 | ||||||||
\(167\) | −3.31549 | + | 4.15749i | −0.256560 | + | 0.321717i | −0.893385 | − | 0.449292i | \(-0.851676\pi\) |
0.636824 | + | 0.771009i | \(0.280248\pi\) | |||||||
\(168\) | −14.4919 | − | 6.97892i | −1.11807 | − | 0.538435i | ||||
\(169\) | −6.53636 | − | 28.6377i | −0.502797 | − | 2.20290i | ||||
\(170\) | −0.123845 | + | 0.542601i | −0.00949849 | + | 0.0416156i | ||||
\(171\) | 10.0166 | 0.765988 | ||||||||
\(172\) | 3.73576 | + | 11.3292i | 0.284849 | + | 0.863841i | ||||
\(173\) | 3.23540 | 0.245983 | 0.122991 | − | 0.992408i | \(-0.460751\pi\) | ||||
0.122991 | + | 0.992408i | \(0.460751\pi\) | |||||||
\(174\) | −1.13488 | + | 4.97222i | −0.0860349 | + | 0.376943i | ||||
\(175\) | −3.31831 | − | 14.5385i | −0.250841 | − | 1.09900i | ||||
\(176\) | 11.2209 | + | 5.40370i | 0.845806 | + | 0.407319i | ||||
\(177\) | −6.28649 | + | 7.88301i | −0.472521 | + | 0.592523i | ||||
\(178\) | −4.86251 | −0.364460 | ||||||||
\(179\) | 3.48273 | 0.260311 | 0.130156 | − | 0.991494i | \(-0.458452\pi\) | ||||
0.130156 | + | 0.991494i | \(0.458452\pi\) | |||||||
\(180\) | 2.62143 | − | 3.28717i | 0.195390 | − | 0.245011i | ||||
\(181\) | −2.94724 | + | 1.41932i | −0.219067 | + | 0.105497i | −0.540199 | − | 0.841537i | \(-0.681651\pi\) |
0.321132 | + | 0.947034i | \(0.395937\pi\) | |||||||
\(182\) | 7.82990 | + | 9.81839i | 0.580391 | + | 0.727787i | ||||
\(183\) | −8.65356 | + | 4.16734i | −0.639690 | + | 0.308058i | ||||
\(184\) | 2.31147 | − | 10.1272i | 0.170404 | − | 0.746588i | ||||
\(185\) | 0.464221 | − | 0.582115i | 0.0341302 | − | 0.0427979i | ||||
\(186\) | 0.654950 | − | 2.86952i | 0.0480232 | − | 0.210404i | ||||
\(187\) | −3.80652 | − | 1.83312i | −0.278360 | − | 0.134051i | ||||
\(188\) | −5.63104 | − | 7.06111i | −0.410686 | − | 0.514984i | ||||
\(189\) | 7.62161 | + | 9.55719i | 0.554390 | + | 0.695183i | ||||
\(190\) | 0.702523 | + | 3.07795i | 0.0509663 | + | 0.223298i | ||||
\(191\) | 8.47081 | + | 4.07933i | 0.612926 | + | 0.295170i | 0.714475 | − | 0.699661i | \(-0.246666\pi\) |
−0.101549 | + | 0.994831i | \(0.532380\pi\) | |||||||
\(192\) | 7.83111 | − | 3.77126i | 0.565161 | − | 0.272167i | ||||
\(193\) | −1.74521 | − | 7.64629i | −0.125623 | − | 0.550392i | −0.998093 | − | 0.0617240i | \(-0.980340\pi\) |
0.872470 | − | 0.488668i | \(-0.162517\pi\) | |||||||
\(194\) | 0.938688 | + | 4.11266i | 0.0673938 | + | 0.295272i | ||||
\(195\) | −16.7579 | + | 8.07019i | −1.20006 | + | 0.577918i | ||||
\(196\) | 22.2639 | + | 10.7217i | 1.59028 | + | 0.765838i | ||||
\(197\) | −1.29824 | − | 5.68796i | −0.0924958 | − | 0.405250i | 0.907391 | − | 0.420287i | \(-0.138071\pi\) |
−0.999887 | + | 0.0150367i | \(0.995213\pi\) | |||||||
\(198\) | −1.97789 | − | 2.48020i | −0.140563 | − | 0.176260i | ||||
\(199\) | 13.2987 | + | 16.6760i | 0.942717 | + | 1.18213i | 0.983123 | + | 0.182947i | \(0.0585636\pi\) |
−0.0404056 | + | 0.999183i | \(0.512865\pi\) | |||||||
\(200\) | −4.80930 | − | 2.31604i | −0.340069 | − | 0.163769i | ||||
\(201\) | −2.60892 | + | 11.4304i | −0.184019 | + | 0.806240i | ||||
\(202\) | 4.24785 | − | 5.32664i | 0.298878 | − | 0.374781i | ||||
\(203\) | 5.54659 | − | 24.3012i | 0.389295 | − | 1.70561i | ||||
\(204\) | −3.57812 | + | 1.72313i | −0.250518 | + | 0.120643i | ||||
\(205\) | −5.33679 | − | 6.69212i | −0.372737 | − | 0.467398i | ||||
\(206\) | −1.94416 | + | 0.936256i | −0.135456 | + | 0.0652321i | ||||
\(207\) | 7.04205 | − | 8.83045i | 0.489456 | − | 0.613758i | ||||
\(208\) | −19.1889 | −1.33051 | ||||||||
\(209\) | −23.9662 | −1.65778 | ||||||||
\(210\) | 3.43689 | − | 4.30972i | 0.237168 | − | 0.297399i | ||||
\(211\) | −22.4179 | − | 10.7959i | −1.54331 | − | 0.743220i | −0.547689 | − | 0.836682i | \(-0.684492\pi\) |
−0.995623 | + | 0.0934623i | \(0.970207\pi\) | |||||||
\(212\) | 3.86925 | + | 16.9523i | 0.265741 | + | 1.16429i | ||||
\(213\) | −1.41400 | + | 6.19514i | −0.0968857 | + | 0.424484i | ||||
\(214\) | −2.85052 | −0.194857 | ||||||||
\(215\) | −8.54477 | + | 0.806616i | −0.582748 | + | 0.0550108i | ||||
\(216\) | 4.37566 | 0.297726 | ||||||||
\(217\) | −3.20100 | + | 14.0245i | −0.217298 | + | 0.952044i | ||||
\(218\) | 1.07143 | + | 4.69425i | 0.0725665 | + | 0.317935i | ||||
\(219\) | −31.0247 | − | 14.9407i | −2.09645 | − | 1.00960i | ||||
\(220\) | −6.27216 | + | 7.86504i | −0.422869 | + | 0.530261i | ||||
\(221\) | 6.50954 | 0.437879 | ||||||||
\(222\) | −0.528064 | −0.0354413 | ||||||||
\(223\) | 2.97164 | − | 3.72632i | 0.198996 | − | 0.249533i | −0.672314 | − | 0.740266i | \(-0.734700\pi\) |
0.871310 | + | 0.490733i | \(0.163271\pi\) | |||||||
\(224\) | 18.4003 | − | 8.86113i | 1.22942 | − | 0.592059i | ||||
\(225\) | −3.61871 | − | 4.53772i | −0.241247 | − | 0.302515i | ||||
\(226\) | 2.42692 | − | 1.16874i | 0.161436 | − | 0.0777437i | ||||
\(227\) | −1.99018 | + | 8.71957i | −0.132093 | + | 0.578738i | 0.864948 | + | 0.501862i | \(0.167352\pi\) |
−0.997041 | + | 0.0768757i | \(0.975506\pi\) | |||||||
\(228\) | −14.0461 | + | 17.6132i | −0.930224 | + | 1.16646i | ||||
\(229\) | 1.46507 | − | 6.41887i | 0.0968142 | − | 0.424171i | −0.903173 | − | 0.429277i | \(-0.858768\pi\) |
0.999987 | + | 0.00510642i | \(0.00162543\pi\) | |||||||
\(230\) | 3.20737 | + | 1.54459i | 0.211487 | + | 0.101847i | ||||
\(231\) | 26.0901 | + | 32.7159i | 1.71660 | + | 2.15255i | ||||
\(232\) | −5.56302 | − | 6.97581i | −0.365230 | − | 0.457984i | ||||
\(233\) | 4.48627 | + | 19.6556i | 0.293905 | + | 1.28768i | 0.879040 | + | 0.476748i | \(0.158184\pi\) |
−0.585135 | + | 0.810936i | \(0.698958\pi\) | |||||||
\(234\) | 4.40367 | + | 2.12070i | 0.287877 | + | 0.138634i | ||||
\(235\) | 5.85443 | − | 2.81935i | 0.381901 | − | 0.183914i | ||||
\(236\) | −1.86965 | − | 8.19145i | −0.121704 | − | 0.533218i | ||||
\(237\) | 7.45470 | + | 32.6612i | 0.484235 | + | 2.12157i | ||||
\(238\) | −1.73815 | + | 0.837047i | −0.112667 | + | 0.0542577i | ||||
\(239\) | 12.6145 | + | 6.07484i | 0.815966 | + | 0.392949i | 0.794833 | − | 0.606828i | \(-0.207558\pi\) |
0.0211331 | + | 0.999777i | \(0.493273\pi\) | |||||||
\(240\) | 1.87426 | + | 8.21168i | 0.120983 | + | 0.530062i | ||||
\(241\) | 13.2639 | + | 16.6324i | 0.854402 | + | 1.07139i | 0.996669 | + | 0.0815580i | \(0.0259896\pi\) |
−0.142266 | + | 0.989828i | \(0.545439\pi\) | |||||||
\(242\) | 1.81606 | + | 2.27727i | 0.116741 | + | 0.146388i | ||||
\(243\) | 14.7058 | + | 7.08194i | 0.943377 | + | 0.454307i | ||||
\(244\) | 1.78101 | − | 7.80310i | 0.114017 | − | 0.499542i | ||||
\(245\) | −11.0850 | + | 13.9002i | −0.708196 | + | 0.888049i | ||||
\(246\) | −1.35087 | + | 5.91853i | −0.0861281 | + | 0.377352i | ||||
\(247\) | 33.2691 | − | 16.0216i | 2.11686 | − | 1.01943i | ||||
\(248\) | 3.21048 | + | 4.02581i | 0.203866 | + | 0.255639i | ||||
\(249\) | 7.18920 | − | 3.46214i | 0.455597 | − | 0.219404i | ||||
\(250\) | 2.87561 | − | 3.60590i | 0.181869 | − | 0.228057i | ||||
\(251\) | 20.4144 | 1.28854 | 0.644272 | − | 0.764796i | \(-0.277160\pi\) | ||||
0.644272 | + | 0.764796i | \(0.277160\pi\) | |||||||
\(252\) | 14.5739 | 0.918071 | ||||||||
\(253\) | −16.8491 | + | 21.1282i | −1.05930 | + | 1.32832i | ||||
\(254\) | 5.03626 | + | 2.42534i | 0.316003 | + | 0.152179i | ||||
\(255\) | −0.635815 | − | 2.78569i | −0.0398163 | − | 0.174447i | ||||
\(256\) | −0.759868 | + | 3.32920i | −0.0474918 | + | 0.208075i | ||||
\(257\) | −29.2807 | −1.82648 | −0.913240 | − | 0.407423i | \(-0.866428\pi\) | ||||
−0.913240 | + | 0.407423i | \(0.866428\pi\) | |||||||
\(258\) | 4.22578 | + | 4.38141i | 0.263086 | + | 0.272775i | ||||
\(259\) | 2.58086 | 0.160367 | ||||||||
\(260\) | 3.44898 | − | 15.1110i | 0.213897 | − | 0.937143i | ||||
\(261\) | −2.15876 | − | 9.45815i | −0.133624 | − | 0.585445i | ||||
\(262\) | −0.571504 | − | 0.275222i | −0.0353076 | − | 0.0170033i | ||||
\(263\) | 1.44614 | − | 1.81340i | 0.0891727 | − | 0.111819i | −0.735244 | − | 0.677803i | \(-0.762932\pi\) |
0.824416 | + | 0.565984i | \(0.191504\pi\) | |||||||
\(264\) | 14.9786 | 0.921871 | ||||||||
\(265\) | −12.5104 | −0.768508 | ||||||||
\(266\) | −6.82318 | + | 8.55600i | −0.418356 | + | 0.524602i | ||||
\(267\) | 22.4917 | − | 10.8314i | 1.37647 | − | 0.662872i | ||||
\(268\) | −6.09157 | − | 7.63858i | −0.372102 | − | 0.466601i | ||||
\(269\) | 22.1904 | − | 10.6863i | 1.35297 | − | 0.651556i | 0.389913 | − | 0.920852i | \(-0.372505\pi\) |
0.963058 | + | 0.269296i | \(0.0867909\pi\) | |||||||
\(270\) | −0.333684 | + | 1.46197i | −0.0203074 | + | 0.0889724i | ||||
\(271\) | −7.75813 | + | 9.72839i | −0.471273 | + | 0.590958i | −0.959482 | − | 0.281769i | \(-0.909079\pi\) |
0.488209 | + | 0.872727i | \(0.337650\pi\) | |||||||
\(272\) | 0.655950 | − | 2.87390i | 0.0397728 | − | 0.174256i | ||||
\(273\) | −58.0883 | − | 27.9738i | −3.51566 | − | 1.69305i | ||||
\(274\) | 3.05749 | + | 3.83397i | 0.184710 | + | 0.231619i | ||||
\(275\) | 8.65830 | + | 10.8572i | 0.522115 | + | 0.654712i | ||||
\(276\) | 5.65257 | + | 24.7655i | 0.340245 | + | 1.49071i | ||||
\(277\) | −4.09838 | − | 1.97368i | −0.246248 | − | 0.118587i | 0.306689 | − | 0.951810i | \(-0.400779\pi\) |
−0.552937 | + | 0.833223i | \(0.686493\pi\) | |||||||
\(278\) | −0.316304 | + | 0.152324i | −0.0189707 | + | 0.00913579i | ||||
\(279\) | 1.24584 | + | 5.45840i | 0.0745867 | + | 0.326786i | ||||
\(280\) | 2.14591 | + | 9.40182i | 0.128242 | + | 0.561866i | ||||
\(281\) | −1.55713 | + | 0.749876i | −0.0928908 | + | 0.0447338i | −0.479752 | − | 0.877404i | \(-0.659273\pi\) |
0.386861 | + | 0.922138i | \(0.373559\pi\) | |||||||
\(282\) | −4.15217 | − | 1.99958i | −0.247258 | − | 0.119073i | ||||
\(283\) | 5.22187 | + | 22.8785i | 0.310408 | + | 1.35999i | 0.853842 | + | 0.520533i | \(0.174267\pi\) |
−0.543434 | + | 0.839452i | \(0.682876\pi\) | |||||||
\(284\) | −3.30155 | − | 4.14001i | −0.195911 | − | 0.245664i | ||||
\(285\) | −10.1058 | − | 12.6723i | −0.598615 | − | 0.750640i | ||||
\(286\) | −10.5364 | − | 5.07409i | −0.623033 | − | 0.300037i | ||||
\(287\) | 6.60221 | − | 28.9262i | 0.389716 | − | 1.70746i | ||||
\(288\) | 4.95591 | − | 6.21452i | 0.292030 | − | 0.366194i | ||||
\(289\) | −0.222521 | + | 0.974928i | −0.0130895 | + | 0.0573487i | ||||
\(290\) | 2.75495 | − | 1.32671i | 0.161776 | − | 0.0779072i | ||||
\(291\) | −13.5030 | − | 16.9323i | −0.791561 | − | 0.992587i | ||||
\(292\) | 25.8533 | − | 12.4503i | 1.51295 | − | 0.728599i | ||||
\(293\) | −12.2020 | + | 15.3009i | −0.712851 | + | 0.893887i | −0.997910 | − | 0.0646231i | \(-0.979415\pi\) |
0.285059 | + | 0.958510i | \(0.407987\pi\) | |||||||
\(294\) | 12.6095 | 0.735401 | ||||||||
\(295\) | 6.04510 | 0.351960 | ||||||||
\(296\) | 0.575996 | − | 0.722276i | 0.0334791 | − | 0.0419814i | ||||
\(297\) | −10.2562 | − | 4.93910i | −0.595122 | − | 0.286596i | ||||
\(298\) | −1.10866 | − | 4.85734i | −0.0642227 | − | 0.281378i | ||||
\(299\) | 9.26514 | − | 40.5932i | 0.535817 | − | 2.34757i | ||||
\(300\) | 13.0536 | 0.753649 | ||||||||
\(301\) | −20.6530 | − | 21.4137i | −1.19042 | − | 1.23426i | ||||
\(302\) | −1.76527 | −0.101580 | ||||||||
\(303\) | −7.78327 | + | 34.1008i | −0.447137 | + | 1.95904i | ||||
\(304\) | −3.72093 | − | 16.3025i | −0.213410 | − | 0.935010i | ||||
\(305\) | 5.18824 | + | 2.49852i | 0.297078 | + | 0.143065i | ||||
\(306\) | −0.468149 | + | 0.587040i | −0.0267623 | + | 0.0335589i | ||||
\(307\) | 4.71301 | 0.268986 | 0.134493 | − | 0.990915i | \(-0.457059\pi\) | ||||
0.134493 | + | 0.990915i | \(0.457059\pi\) | |||||||
\(308\) | −34.8703 | −1.98692 | ||||||||
\(309\) | 6.90721 | − | 8.66136i | 0.392937 | − | 0.492728i | ||||
\(310\) | −1.58991 | + | 0.765659i | −0.0903007 | + | 0.0434865i | ||||
\(311\) | −12.4413 | − | 15.6009i | −0.705483 | − | 0.884648i | 0.291937 | − | 0.956438i | \(-0.405700\pi\) |
−0.997420 | + | 0.0717896i | \(0.977129\pi\) | |||||||
\(312\) | −20.7929 | + | 10.0133i | −1.17716 | + | 0.566893i | ||||
\(313\) | −4.50855 | + | 19.7532i | −0.254838 | + | 1.11652i | 0.671850 | + | 0.740688i | \(0.265500\pi\) |
−0.926688 | + | 0.375832i | \(0.877357\pi\) | |||||||
\(314\) | 3.24527 | − | 4.06944i | 0.183141 | − | 0.229652i | ||||
\(315\) | −2.33326 | + | 10.2227i | −0.131464 | + | 0.575982i | ||||
\(316\) | −25.1524 | − | 12.1127i | −1.41493 | − | 0.681394i | ||||
\(317\) | 3.06472 | + | 3.84304i | 0.172132 | + | 0.215847i | 0.860413 | − | 0.509598i | \(-0.170206\pi\) |
−0.688281 | + | 0.725444i | \(0.741634\pi\) | |||||||
\(318\) | 5.53212 | + | 6.93706i | 0.310226 | + | 0.389011i | ||||
\(319\) | 5.16516 | + | 22.6300i | 0.289193 | + | 1.26704i | ||||
\(320\) | −4.69513 | − | 2.26106i | −0.262466 | − | 0.126397i | ||||
\(321\) | 13.1851 | − | 6.34963i | 0.735923 | − | 0.354402i | ||||
\(322\) | 2.74586 | + | 12.0304i | 0.153021 | + | 0.670427i | ||||
\(323\) | 1.26227 | + | 5.53036i | 0.0702345 | + | 0.307718i | ||||
\(324\) | −18.3233 | + | 8.82404i | −1.01796 | + | 0.490224i | ||||
\(325\) | −19.2773 | − | 9.28345i | −1.06931 | − | 0.514953i | ||||
\(326\) | 1.39531 | + | 6.11327i | 0.0772793 | + | 0.338583i | ||||
\(327\) | −15.4126 | − | 19.3267i | −0.852316 | − | 1.06877i | ||||
\(328\) | −6.62177 | − | 8.30344i | −0.365626 | − | 0.458481i | ||||
\(329\) | 20.2933 | + | 9.77274i | 1.11881 | + | 0.538789i | ||||
\(330\) | −1.14226 | + | 5.00456i | −0.0628793 | + | 0.275492i | ||||
\(331\) | −8.12772 | + | 10.1918i | −0.446740 | + | 0.560194i | −0.953306 | − | 0.302007i | \(-0.902343\pi\) |
0.506566 | + | 0.862201i | \(0.330915\pi\) | |||||||
\(332\) | −1.47962 | + | 6.48266i | −0.0812049 | + | 0.355782i | ||||
\(333\) | 0.905007 | − | 0.435828i | 0.0495941 | − | 0.0238832i | ||||
\(334\) | −1.40982 | − | 1.76786i | −0.0771419 | − | 0.0967329i | ||||
\(335\) | 6.33322 | − | 3.04992i | 0.346021 | − | 0.166635i | ||||
\(336\) | −18.2036 | + | 22.8266i | −0.993087 | + | 1.24529i | ||||
\(337\) | −19.9122 | −1.08469 | −0.542343 | − | 0.840157i | \(-0.682463\pi\) | ||||
−0.542343 | + | 0.840157i | \(0.682463\pi\) | |||||||
\(338\) | 12.4905 | 0.679396 | ||||||||
\(339\) | −8.62238 | + | 10.8121i | −0.468303 | + | 0.587234i | ||||
\(340\) | 2.14526 | + | 1.03310i | 0.116343 | + | 0.0560278i | ||||
\(341\) | −2.98087 | − | 13.0600i | −0.161423 | − | 0.707240i | ||||
\(342\) | −0.947779 | + | 4.15249i | −0.0512500 | + | 0.224541i | ||||
\(343\) | −29.8692 | −1.61278 | ||||||||
\(344\) | −10.6022 | + | 1.00083i | −0.571630 | + | 0.0539612i | ||||
\(345\) | −18.2764 | −0.983967 | ||||||||
\(346\) | −0.306136 | + | 1.34127i | −0.0164580 | + | 0.0721071i | ||||
\(347\) | 0.138383 | + | 0.606295i | 0.00742879 | + | 0.0325476i | 0.978506 | − | 0.206216i | \(-0.0661150\pi\) |
−0.971078 | + | 0.238764i | \(0.923258\pi\) | |||||||
\(348\) | 19.6585 | + | 9.46701i | 1.05380 | + | 0.507485i | ||||
\(349\) | 0.504708 | − | 0.632884i | 0.0270164 | − | 0.0338775i | −0.768140 | − | 0.640282i | \(-0.778817\pi\) |
0.795156 | + | 0.606405i | \(0.207389\pi\) | |||||||
\(350\) | 6.34106 | 0.338944 | ||||||||
\(351\) | 17.5391 | 0.936167 | ||||||||
\(352\) | −11.8578 | + | 14.8692i | −0.632021 | + | 0.792529i | ||||
\(353\) | −4.96713 | + | 2.39204i | −0.264374 | + | 0.127316i | −0.561375 | − | 0.827561i | \(-0.689728\pi\) |
0.297002 | + | 0.954877i | \(0.404013\pi\) | |||||||
\(354\) | −2.67315 | − | 3.35203i | −0.142077 | − | 0.178158i | ||||
\(355\) | 3.43252 | − | 1.65302i | 0.182179 | − | 0.0877330i | ||||
\(356\) | −4.62906 | + | 20.2812i | −0.245340 | + | 1.07490i | ||||
\(357\) | 6.17529 | − | 7.74357i | 0.326831 | − | 0.409833i | ||||
\(358\) | −0.329539 | + | 1.44380i | −0.0174167 | + | 0.0763073i | ||||
\(359\) | −16.7848 | − | 8.08311i | −0.885865 | − | 0.426610i | −0.0651020 | − | 0.997879i | \(-0.520737\pi\) |
−0.820763 | + | 0.571268i | \(0.806452\pi\) | |||||||
\(360\) | 2.34017 | + | 2.93448i | 0.123338 | + | 0.154661i | ||||
\(361\) | 8.21650 | + | 10.3032i | 0.432447 | + | 0.542272i | ||||
\(362\) | −0.309523 | − | 1.35611i | −0.0162682 | − | 0.0712755i | ||||
\(363\) | −13.4729 | − | 6.48822i | −0.707145 | − | 0.340543i | ||||
\(364\) | 48.4059 | − | 23.3110i | 2.53716 | − | 1.22183i | ||||
\(365\) | 4.59402 | + | 20.1277i | 0.240462 | + | 1.05353i | ||||
\(366\) | −0.908807 | − | 3.98175i | −0.0475041 | − | 0.208129i | ||||
\(367\) | −9.25592 | + | 4.45742i | −0.483155 | + | 0.232675i | −0.659574 | − | 0.751640i | \(-0.729263\pi\) |
0.176418 | + | 0.984315i | \(0.443549\pi\) | |||||||
\(368\) | −16.9879 | − | 8.18094i | −0.885556 | − | 0.426461i | ||||
\(369\) | −2.56961 | − | 11.2582i | −0.133769 | − | 0.586079i | ||||
\(370\) | 0.197397 | + | 0.247528i | 0.0102622 | + | 0.0128684i | ||||
\(371\) | −27.0377 | − | 33.9041i | −1.40372 | − | 1.76022i | ||||
\(372\) | −11.3451 | − | 5.46351i | −0.588216 | − | 0.283270i | ||||
\(373\) | 2.40388 | − | 10.5321i | 0.124468 | − | 0.545332i | −0.873788 | − | 0.486307i | \(-0.838344\pi\) |
0.998257 | − | 0.0590249i | \(-0.0187991\pi\) | |||||||
\(374\) | 1.12012 | − | 1.40458i | 0.0579199 | − | 0.0726292i | ||||
\(375\) | −5.26893 | + | 23.0847i | −0.272086 | + | 1.19209i | ||||
\(376\) | 7.26405 | − | 3.49818i | 0.374615 | − | 0.180405i | ||||
\(377\) | −22.2985 | − | 27.9614i | −1.14843 | − | 1.44008i | ||||
\(378\) | −4.68320 | + | 2.25531i | −0.240878 | + | 0.116001i | ||||
\(379\) | 6.60677 | − | 8.28462i | 0.339367 | − | 0.425553i | −0.582637 | − | 0.812732i | \(-0.697979\pi\) |
0.922004 | + | 0.387180i | \(0.126551\pi\) | |||||||
\(380\) | 13.5067 | 0.692881 | ||||||||
\(381\) | −28.6979 | −1.47024 | ||||||||
\(382\) | −2.49264 | + | 3.12568i | −0.127535 | + | 0.159924i | ||||
\(383\) | 29.4834 | + | 14.1984i | 1.50653 | + | 0.725507i | 0.991309 | − | 0.131551i | \(-0.0419957\pi\) |
0.515221 | + | 0.857058i | \(0.327710\pi\) | |||||||
\(384\) | 5.19588 | + | 22.7646i | 0.265151 | + | 1.16170i | ||||
\(385\) | 5.58267 | − | 24.4593i | 0.284519 | − | 1.24656i | ||||
\(386\) | 3.33499 | 0.169746 | ||||||||
\(387\) | −10.8584 | − | 4.02128i | −0.551961 | − | 0.204413i | ||||
\(388\) | 18.0473 | 0.916211 | ||||||||
\(389\) | −6.01546 | + | 26.3554i | −0.304996 | + | 1.33627i | 0.557487 | + | 0.830186i | \(0.311766\pi\) |
−0.862482 | + | 0.506087i | \(0.831091\pi\) | |||||||
\(390\) | −1.75994 | − | 7.71079i | −0.0891179 | − | 0.390451i | ||||
\(391\) | 5.76289 | + | 2.77526i | 0.291442 | + | 0.140351i | ||||
\(392\) | −13.7540 | + | 17.2470i | −0.694684 | + | 0.871107i | ||||
\(393\) | 3.25657 | 0.164272 | ||||||||
\(394\) | 2.48085 | 0.124983 | ||||||||
\(395\) | 12.5231 | − | 15.7035i | 0.630108 | − | 0.790130i | ||||
\(396\) | −12.2277 | + | 5.88854i | −0.614464 | + | 0.295910i | ||||
\(397\) | 16.9005 | + | 21.1926i | 0.848213 | + | 1.06363i | 0.997200 | + | 0.0747865i | \(0.0238275\pi\) |
−0.148986 | + | 0.988839i | \(0.547601\pi\) | |||||||
\(398\) | −8.17155 | + | 3.93521i | −0.409603 | + | 0.197254i | ||||
\(399\) | 12.5020 | − | 54.7749i | 0.625884 | − | 2.74218i | ||||
\(400\) | −6.04108 | + | 7.57527i | −0.302054 | + | 0.378763i | ||||
\(401\) | −5.99579 | + | 26.2693i | −0.299416 | + | 1.31183i | 0.571585 | + | 0.820543i | \(0.306329\pi\) |
−0.871000 | + | 0.491282i | \(0.836528\pi\) | |||||||
\(402\) | −4.49175 | − | 2.16311i | −0.224028 | − | 0.107886i | ||||
\(403\) | 12.8687 | + | 16.1368i | 0.641034 | + | 0.803831i | ||||
\(404\) | −18.1732 | − | 22.7884i | −0.904149 | − | 1.13377i | ||||
\(405\) | −3.25597 | − | 14.2653i | −0.161790 | − | 0.708850i | ||||
\(406\) | 9.54951 | + | 4.59880i | 0.473934 | + | 0.228235i | ||||
\(407\) | −2.16536 | + | 1.04278i | −0.107333 | + | 0.0516889i | ||||
\(408\) | −0.788906 | − | 3.45642i | −0.0390566 | − | 0.171118i | ||||
\(409\) | 1.26937 | + | 5.56147i | 0.0627663 | + | 0.274997i | 0.996566 | − | 0.0827982i | \(-0.0263857\pi\) |
−0.933800 | + | 0.357795i | \(0.883529\pi\) | |||||||
\(410\) | 3.27926 | − | 1.57921i | 0.161951 | − | 0.0779916i | ||||
\(411\) | −22.6828 | − | 10.9235i | −1.11886 | − | 0.538815i | ||||
\(412\) | 2.05425 | + | 9.00026i | 0.101206 | + | 0.443411i | ||||
\(413\) | 13.0648 | + | 16.3827i | 0.642875 | + | 0.806139i | ||||
\(414\) | 2.99443 | + | 3.75490i | 0.147168 | + | 0.184543i | ||||
\(415\) | −4.31028 | − | 2.07572i | −0.211583 | − | 0.101893i | ||||
\(416\) | 6.52044 | − | 28.5679i | 0.319691 | − | 1.40066i | ||||
\(417\) | 1.12377 | − | 1.40916i | 0.0550311 | − | 0.0690068i | ||||
\(418\) | 2.26770 | − | 9.93545i | 0.110917 | − | 0.485959i | ||||
\(419\) | −8.16548 | + | 3.93229i | −0.398910 | + | 0.192105i | −0.622573 | − | 0.782562i | \(-0.713913\pi\) |
0.223663 | + | 0.974666i | \(0.428198\pi\) | |||||||
\(420\) | −14.7037 | − | 18.4379i | −0.717468 | − | 0.899676i | ||||
\(421\) | 21.6479 | − | 10.4251i | 1.05505 | − | 0.508087i | 0.175793 | − | 0.984427i | \(-0.443751\pi\) |
0.879261 | + | 0.476340i | \(0.158037\pi\) | |||||||
\(422\) | 6.59675 | − | 8.27207i | 0.321125 | − | 0.402678i | ||||
\(423\) | 8.76640 | 0.426237 | ||||||||
\(424\) | −15.5226 | −0.753846 | ||||||||
\(425\) | 2.04934 | − | 2.56980i | 0.0994078 | − | 0.124653i | ||||
\(426\) | −2.43447 | − | 1.17238i | −0.117950 | − | 0.0568019i | ||||
\(427\) | 4.44170 | + | 19.4604i | 0.214949 | + | 0.941752i | ||||
\(428\) | −2.71366 | + | 11.8893i | −0.131170 | + | 0.574692i | ||||
\(429\) | 60.0394 | 2.89873 | ||||||||
\(430\) | 0.474121 | − | 3.61865i | 0.0228642 | − | 0.174507i | ||||
\(431\) | −36.6108 | −1.76348 | −0.881741 | − | 0.471734i | \(-0.843628\pi\) | ||||
−0.881741 | + | 0.471734i | \(0.843628\pi\) | |||||||
\(432\) | 1.76737 | − | 7.74335i | 0.0850325 | − | 0.372552i | ||||
\(433\) | 1.76824 | + | 7.74718i | 0.0849764 | + | 0.372306i | 0.999479 | − | 0.0322740i | \(-0.0102749\pi\) |
−0.914503 | + | 0.404580i | \(0.867418\pi\) | |||||||
\(434\) | −5.51112 | − | 2.65402i | −0.264542 | − | 0.127397i | ||||
\(435\) | −9.78778 | + | 12.2735i | −0.469288 | + | 0.588469i | ||||
\(436\) | 20.5994 | 0.986534 | ||||||||
\(437\) | 36.2837 | 1.73568 | ||||||||
\(438\) | 9.12940 | − | 11.4479i | 0.436220 | − | 0.547002i | ||||
\(439\) | −28.0284 | + | 13.4978i | −1.33772 | + | 0.644214i | −0.959555 | − | 0.281522i | \(-0.909161\pi\) |
−0.378169 | + | 0.925736i | \(0.623446\pi\) | |||||||
\(440\) | −5.59921 | − | 7.02118i | −0.266932 | − | 0.334722i | ||||
\(441\) | −21.6104 | + | 10.4070i | −1.02907 | + | 0.495573i | ||||
\(442\) | −0.615938 | + | 2.69860i | −0.0292972 | + | 0.128359i | ||||
\(443\) | −13.0463 | + | 16.3595i | −0.619847 | + | 0.777264i | −0.988323 | − | 0.152373i | \(-0.951308\pi\) |
0.368476 | + | 0.929637i | \(0.379880\pi\) | |||||||
\(444\) | −0.502711 | + | 2.20252i | −0.0238576 | + | 0.104527i | ||||
\(445\) | −13.4849 | − | 6.49397i | −0.639244 | − | 0.307844i | ||||
\(446\) | 1.26361 | + | 1.58451i | 0.0598336 | + | 0.0750289i | ||||
\(447\) | 15.9480 | + | 19.9982i | 0.754315 | + | 0.945882i | ||||
\(448\) | −4.01955 | − | 17.6108i | −0.189906 | − | 0.832032i | ||||
\(449\) | −2.31852 | − | 1.11654i | −0.109418 | − | 0.0526927i | 0.378374 | − | 0.925653i | \(-0.376483\pi\) |
−0.487792 | + | 0.872960i | \(0.662198\pi\) | |||||||
\(450\) | 2.22357 | − | 1.07081i | 0.104820 | − | 0.0504786i | ||||
\(451\) | 6.14819 | + | 26.9370i | 0.289507 | + | 1.26841i | ||||
\(452\) | −2.56436 | − | 11.2352i | −0.120617 | − | 0.528458i | ||||
\(453\) | 8.16531 | − | 3.93220i | 0.383640 | − | 0.184751i | ||||
\(454\) | −3.42648 | − | 1.65011i | −0.160813 | − | 0.0774433i | ||||
\(455\) | 8.60150 | + | 37.6856i | 0.403245 | + | 1.76673i | ||||
\(456\) | −12.5390 | − | 15.7235i | −0.587195 | − | 0.736319i | ||||
\(457\) | 12.8905 | + | 16.1641i | 0.602991 | + | 0.756126i | 0.985841 | − | 0.167684i | \(-0.0536289\pi\) |
−0.382850 | + | 0.923810i | \(0.625057\pi\) | |||||||
\(458\) | 2.52239 | + | 1.21472i | 0.117863 | + | 0.0567600i | ||||
\(459\) | −0.599553 | + | 2.62681i | −0.0279847 | + | 0.122609i | ||||
\(460\) | 9.49575 | − | 11.9073i | 0.442742 | − | 0.555181i | ||||
\(461\) | −1.79150 | + | 7.84906i | −0.0834383 | + | 0.365567i | −0.999359 | − | 0.0357916i | \(-0.988605\pi\) |
0.915921 | + | 0.401359i | \(0.131462\pi\) | |||||||
\(462\) | −16.0314 | + | 7.72032i | −0.745849 | + | 0.359182i | ||||
\(463\) | 9.67112 | + | 12.1272i | 0.449455 | + | 0.563599i | 0.954008 | − | 0.299782i | \(-0.0969140\pi\) |
−0.504553 | + | 0.863381i | \(0.668343\pi\) | |||||||
\(464\) | −14.5916 | + | 7.02697i | −0.677400 | + | 0.326219i | ||||
\(465\) | 5.64863 | − | 7.08316i | 0.261949 | − | 0.328473i | ||||
\(466\) | −8.57295 | −0.397134 | ||||||||
\(467\) | 3.97642 | 0.184007 | 0.0920035 | − | 0.995759i | \(-0.470673\pi\) | ||||
0.0920035 | + | 0.995759i | \(0.470673\pi\) | |||||||
\(468\) | 13.0376 | − | 16.3486i | 0.602661 | − | 0.755713i | ||||
\(469\) | 21.9529 | + | 10.5720i | 1.01369 | + | 0.488169i | ||||
\(470\) | 0.614839 | + | 2.69379i | 0.0283604 | + | 0.124255i | ||||
\(471\) | −5.94625 | + | 26.0522i | −0.273989 | + | 1.20042i | ||||
\(472\) | 7.50064 | 0.345245 | ||||||||
\(473\) | 25.9802 | + | 9.62152i | 1.19457 | + | 0.442398i | ||||
\(474\) | −14.2454 | −0.654313 | ||||||||
\(475\) | 4.14894 | − | 18.1777i | 0.190367 | − | 0.834050i | ||||
\(476\) | 1.83657 | + | 8.04656i | 0.0841793 | + | 0.368813i | ||||
\(477\) | −15.2065 | − | 7.32304i | −0.696256 | − | 0.335299i | ||||
\(478\) | −3.71199 | + | 4.65469i | −0.169782 | + | 0.212900i | ||||
\(479\) | 42.3918 | 1.93693 | 0.968466 | − | 0.249146i | \(-0.0801499\pi\) | ||||
0.968466 | + | 0.249146i | \(0.0801499\pi\) | |||||||
\(480\) | −12.8622 | −0.587076 | ||||||||
\(481\) | 2.30878 | − | 2.89512i | 0.105271 | − | 0.132006i | ||||
\(482\) | −8.15018 | + | 3.92492i | −0.371230 | + | 0.178775i | ||||
\(483\) | −39.4992 | − | 49.5304i | −1.79727 | − | 2.25371i | ||||
\(484\) | 11.2272 | − | 5.40674i | 0.510328 | − | 0.245761i | ||||
\(485\) | −2.88933 | + | 12.6590i | −0.131198 | + | 0.574815i | ||||
\(486\) | −4.32737 | + | 5.42635i | −0.196294 | + | 0.246144i | ||||
\(487\) | 5.04756 | − | 22.1148i | 0.228727 | − | 1.00212i | −0.721953 | − | 0.691942i | \(-0.756755\pi\) |
0.950679 | − | 0.310175i | \(-0.100388\pi\) | |||||||
\(488\) | 6.43745 | + | 3.10011i | 0.291410 | + | 0.140336i | ||||
\(489\) | −20.0716 | − | 25.1690i | −0.907669 | − | 1.13818i | ||||
\(490\) | −4.71359 | − | 5.91066i | −0.212938 | − | 0.267016i | ||||
\(491\) | 7.21760 | + | 31.6224i | 0.325726 | + | 1.42710i | 0.827192 | + | 0.561920i | \(0.189937\pi\) |
−0.501466 | + | 0.865177i | \(0.667206\pi\) | |||||||
\(492\) | 23.3998 | + | 11.2688i | 1.05495 | + | 0.508035i | ||||
\(493\) | 4.94999 | − | 2.38379i | 0.222937 | − | 0.107361i | ||||
\(494\) | 3.49396 | + | 15.3081i | 0.157201 | + | 0.688742i | ||||
\(495\) | −2.17280 | − | 9.51967i | −0.0976602 | − | 0.427877i | ||||
\(496\) | 8.42099 | − | 4.05533i | 0.378114 | − | 0.182090i | ||||
\(497\) | 11.8982 | + | 5.72988i | 0.533708 | + | 0.257020i | ||||
\(498\) | 0.755019 | + | 3.30795i | 0.0338332 | + | 0.148233i | ||||
\(499\) | 9.64076 | + | 12.0891i | 0.431580 | + | 0.541184i | 0.949302 | − | 0.314365i | \(-0.101792\pi\) |
−0.517723 | + | 0.855549i | \(0.673220\pi\) | |||||||
\(500\) | −12.3024 | − | 15.4267i | −0.550181 | − | 0.689905i | ||||
\(501\) | 10.4591 | + | 5.03685i | 0.467280 | + | 0.225030i | ||||
\(502\) | −1.93163 | + | 8.46301i | −0.0862127 | + | 0.377722i | ||||
\(503\) | −19.6527 | + | 24.6437i | −0.876269 | + | 1.09881i | 0.118118 | + | 0.993000i | \(0.462314\pi\) |
−0.994387 | + | 0.105807i | \(0.966257\pi\) | |||||||
\(504\) | −2.89506 | + | 12.6841i | −0.128956 | + | 0.564994i | ||||
\(505\) | 18.8941 | − | 9.09892i | 0.840776 | − | 0.404897i | ||||
\(506\) | −7.16463 | − | 8.98416i | −0.318507 | − | 0.399395i | ||||
\(507\) | −57.7754 | + | 27.8231i | −2.56589 | + | 1.23567i | ||||
\(508\) | 14.9104 | − | 18.6970i | 0.661542 | − | 0.829547i | ||||
\(509\) | 33.6803 | 1.49285 | 0.746427 | − | 0.665467i | \(-0.231768\pi\) | ||||
0.746427 | + | 0.665467i | \(0.231768\pi\) | |||||||
\(510\) | 1.21500 | 0.0538010 | ||||||||
\(511\) | −44.6190 | + | 55.9504i | −1.97383 | + | 2.47510i | ||||
\(512\) | −20.5817 | − | 9.91164i | −0.909593 | − | 0.438037i | ||||
\(513\) | 3.40102 | + | 14.9008i | 0.150158 | + | 0.657887i | ||||
\(514\) | 2.77056 | − | 12.1386i | 0.122204 | − | 0.535412i | ||||
\(515\) | −6.64199 | −0.292681 | ||||||||
\(516\) | 22.2975 | − | 13.4544i | 0.981593 | − | 0.592297i | ||||
\(517\) | −20.9749 | −0.922476 | ||||||||
\(518\) | −0.244203 | + | 1.06992i | −0.0107296 | + | 0.0470097i | ||||
\(519\) | −1.57169 | − | 6.88601i | −0.0689894 | − | 0.302262i | ||||
\(520\) | 12.4664 | + | 6.00348i | 0.546686 | + | 0.263270i | ||||
\(521\) | −22.1552 | + | 27.7817i | −0.970637 | + | 1.21714i | 0.00550036 | + | 0.999985i | \(0.498249\pi\) |
−0.976137 | + | 0.217155i | \(0.930322\pi\) | |||||||
\(522\) | 4.12525 | 0.180557 | ||||||||
\(523\) | −19.1893 | −0.839090 | −0.419545 | − | 0.907735i | \(-0.637810\pi\) | ||||
−0.419545 | + | 0.907735i | \(0.637810\pi\) | |||||||
\(524\) | −1.69200 | + | 2.12170i | −0.0739153 | + | 0.0926868i | ||||
\(525\) | −29.3307 | + | 14.1249i | −1.28010 | + | 0.616463i | ||||
\(526\) | 0.614930 | + | 0.771097i | 0.0268122 | + | 0.0336214i | ||||
\(527\) | −2.85669 | + | 1.37571i | −0.124439 | + | 0.0599269i | ||||
\(528\) | 6.05001 | − | 26.5068i | 0.263293 | − | 1.15356i | ||||
\(529\) | 11.1685 | − | 14.0049i | 0.485589 | − | 0.608909i | ||||
\(530\) | 1.18375 | − | 5.18633i | 0.0514186 | − | 0.225280i | ||||
\(531\) | 7.34785 | + | 3.53854i | 0.318869 | + | 0.153559i | ||||
\(532\) | 29.1909 | + | 36.6043i | 1.26559 | + | 1.58700i | ||||
\(533\) | −26.5423 | − | 33.2829i | −1.14967 | − | 1.44164i | ||||
\(534\) | 2.36210 | + | 10.3490i | 0.102218 | + | 0.447847i | ||||
\(535\) | −7.90514 | − | 3.80692i | −0.341769 | − | 0.164587i | ||||
\(536\) | 7.85813 | − | 3.78427i | 0.339419 | − | 0.163456i | ||||
\(537\) | −1.69183 | − | 7.41241i | −0.0730080 | − | 0.319869i | ||||
\(538\) | 2.33046 | + | 10.2104i | 0.100473 | + | 0.440202i | ||||
\(539\) | 51.7062 | − | 24.9004i | 2.22714 | − | 1.07254i | ||||
\(540\) | 5.78011 | + | 2.78355i | 0.248736 | + | 0.119785i | ||||
\(541\) | −0.609055 | − | 2.66844i | −0.0261853 | − | 0.114725i | 0.960146 | − | 0.279498i | \(-0.0901681\pi\) |
−0.986332 | + | 0.164773i | \(0.947311\pi\) | |||||||
\(542\) | −3.29893 | − | 4.13673i | −0.141701 | − | 0.177688i | ||||
\(543\) | 4.45249 | + | 5.58324i | 0.191075 | + | 0.239600i | ||||
\(544\) | 4.05569 | + | 1.95312i | 0.173886 | + | 0.0837393i | ||||
\(545\) | −3.29793 | + | 14.4492i | −0.141268 | + | 0.618934i | ||||
\(546\) | 17.0932 | − | 21.4342i | 0.731522 | − | 0.917300i | ||||
\(547\) | −0.765978 | + | 3.35597i | −0.0327508 | + | 0.143491i | −0.988660 | − | 0.150172i | \(-0.952017\pi\) |
0.955909 | + | 0.293663i | \(0.0948743\pi\) | |||||||
\(548\) | 18.9020 | − | 9.10271i | 0.807452 | − | 0.388848i | ||||
\(549\) | 4.84380 | + | 6.07393i | 0.206728 | + | 0.259229i | ||||
\(550\) | −5.32021 | + | 2.56208i | −0.226855 | + | 0.109247i | ||||
\(551\) | 19.4315 | − | 24.3663i | 0.827808 | − | 1.03804i | ||||
\(552\) | −22.6769 | −0.965195 | ||||||||
\(553\) | 69.6229 | 2.96067 | ||||||||
\(554\) | 1.20600 | − | 1.51228i | 0.0512381 | − | 0.0642505i | ||||
\(555\) | −1.46444 | − | 0.705239i | −0.0621622 | − | 0.0299357i | ||||
\(556\) | 0.334216 | + | 1.46430i | 0.0141739 | + | 0.0621000i | ||||
\(557\) | 3.19054 | − | 13.9787i | 0.135188 | − | 0.592296i | −0.861266 | − | 0.508154i | \(-0.830328\pi\) |
0.996454 | − | 0.0841418i | \(-0.0268149\pi\) | |||||||
\(558\) | −2.38072 | −0.100784 | ||||||||
\(559\) | −42.4970 | + | 4.01167i | −1.79743 | + | 0.169675i | ||||
\(560\) | 17.5046 | 0.739705 | ||||||||
\(561\) | −2.05237 | + | 8.99203i | −0.0866513 | + | 0.379644i | ||||
\(562\) | −0.163532 | − | 0.716481i | −0.00689818 | − | 0.0302229i | ||||
\(563\) | 38.1842 | + | 18.3885i | 1.60927 | + | 0.774984i | 0.999841 | − | 0.0178563i | \(-0.00568414\pi\) |
0.609430 | + | 0.792840i | \(0.291398\pi\) | |||||||
\(564\) | −12.2930 | + | 15.4149i | −0.517627 | + | 0.649084i | ||||
\(565\) | 8.29130 | 0.348818 | ||||||||
\(566\) | −9.97863 | −0.419433 | ||||||||
\(567\) | 31.6233 | − | 39.6543i | 1.32805 | − | 1.66532i | ||||
\(568\) | 4.25900 | − | 2.05103i | 0.178704 | − | 0.0860592i | ||||
\(569\) | 22.3170 | + | 27.9847i | 0.935579 | + | 1.17318i | 0.984678 | + | 0.174385i | \(0.0557936\pi\) |
−0.0490988 | + | 0.998794i | \(0.515635\pi\) | |||||||
\(570\) | 6.20964 | − | 2.99041i | 0.260093 | − | 0.125254i | ||||
\(571\) | −4.68207 | + | 20.5135i | −0.195938 | + | 0.858462i | 0.777385 | + | 0.629025i | \(0.216546\pi\) |
−0.973323 | + | 0.229437i | \(0.926311\pi\) | |||||||
\(572\) | −31.1943 | + | 39.1164i | −1.30430 | + | 1.63554i | ||||
\(573\) | 4.56723 | − | 20.0104i | 0.190799 | − | 0.835945i | ||||
\(574\) | 11.3670 | + | 5.47404i | 0.474448 | + | 0.228482i | ||||
\(575\) | −13.1083 | − | 16.4372i | −0.546652 | − | 0.685480i | ||||
\(576\) | −4.38343 | − | 5.49665i | −0.182643 | − | 0.229027i | ||||
\(577\) | −7.64290 | − | 33.4857i | −0.318178 | − | 1.39403i | −0.840745 | − | 0.541431i | \(-0.817883\pi\) |
0.522567 | − | 0.852598i | \(-0.324974\pi\) | |||||||
\(578\) | −0.383112 | − | 0.184497i | −0.0159354 | − | 0.00767406i | ||||
\(579\) | −15.4261 | + | 7.42880i | −0.641086 | + | 0.308731i | ||||
\(580\) | −2.91095 | − | 12.7537i | −0.120871 | − | 0.529569i | ||||
\(581\) | −3.69007 | − | 16.1673i | −0.153090 | − | 0.670731i | ||||
\(582\) | 8.29712 | − | 3.99568i | 0.343927 | − | 0.165626i | ||||
\(583\) | 36.3837 | + | 17.5215i | 1.50686 | + | 0.725665i | ||||
\(584\) | 5.70016 | + | 24.9740i | 0.235874 | + | 1.03343i | ||||
\(585\) | 9.38018 | + | 11.7624i | 0.387823 | + | 0.486314i | ||||
\(586\) | −5.18858 | − | 6.50627i | −0.214338 | − | 0.268772i | ||||
\(587\) | −20.1574 | − | 9.70730i | −0.831986 | − | 0.400663i | −0.0311261 | − | 0.999515i | \(-0.509909\pi\) |
−0.800859 | + | 0.598852i | \(0.795624\pi\) | |||||||
\(588\) | 12.0041 | − | 52.5934i | 0.495041 | − | 2.16892i | ||||
\(589\) | −11.2141 | + | 14.0620i | −0.462069 | + | 0.579416i | ||||
\(590\) | −0.571993 | + | 2.50606i | −0.0235486 | + | 0.103173i | ||||
\(591\) | −11.4752 | + | 5.52618i | −0.472028 | + | 0.227317i | ||||
\(592\) | −1.04552 | − | 1.31104i | −0.0429706 | − | 0.0538834i | ||||
\(593\) | −23.0170 | + | 11.0844i | −0.945195 | + | 0.455182i | −0.841999 | − | 0.539479i | \(-0.818621\pi\) |
−0.103196 | + | 0.994661i | \(0.532907\pi\) | |||||||
\(594\) | 3.01800 | − | 3.78446i | 0.123830 | − | 0.155278i | ||||
\(595\) | −5.93817 | −0.243441 | ||||||||
\(596\) | −21.3151 | −0.873100 | ||||||||
\(597\) | 29.0319 | − | 36.4048i | 1.18820 | − | 1.48995i | ||||
\(598\) | 15.9517 | + | 7.68193i | 0.652313 | + | 0.314137i | ||||
\(599\) | 0.927707 | + | 4.06455i | 0.0379051 | + | 0.166073i | 0.990338 | − | 0.138676i | \(-0.0442846\pi\) |
−0.952433 | + | 0.304749i | \(0.901427\pi\) | |||||||
\(600\) | −2.59305 | + | 11.3609i | −0.105861 | + | 0.463806i | ||||
\(601\) | 10.4772 | 0.427373 | 0.213686 | − | 0.976902i | \(-0.431453\pi\) | ||||
0.213686 | + | 0.976902i | \(0.431453\pi\) | |||||||
\(602\) | 10.8315 | − | 6.53577i | 0.441458 | − | 0.266378i | ||||
\(603\) | 9.48334 | 0.386192 | ||||||||
\(604\) | −1.68052 | + | 7.36283i | −0.0683793 | + | 0.299589i | ||||
\(605\) | 1.99502 | + | 8.74077i | 0.0811093 | + | 0.355363i | ||||
\(606\) | −13.4004 | − | 6.45328i | −0.544353 | − | 0.262147i | ||||
\(607\) | −9.04864 | + | 11.3466i | −0.367273 | + | 0.460546i | −0.930788 | − | 0.365560i | \(-0.880877\pi\) |
0.563515 | + | 0.826106i | \(0.309449\pi\) | |||||||
\(608\) | 25.5350 | 1.03558 | ||||||||
\(609\) | −54.4155 | −2.20503 | ||||||||
\(610\) | −1.52671 | + | 1.91443i | −0.0618145 | + | 0.0775129i | ||||
\(611\) | 29.1167 | − | 14.0219i | 1.17794 | − | 0.567265i | ||||
\(612\) | 2.00284 | + | 2.51148i | 0.0809599 | + | 0.101520i | ||||
\(613\) | 22.0504 | − | 10.6189i | 0.890606 | − | 0.428893i | 0.0681193 | − | 0.997677i | \(-0.478300\pi\) |
0.822487 | + | 0.568784i | \(0.192586\pi\) | |||||||
\(614\) | −0.445949 | + | 1.95383i | −0.0179970 | + | 0.0788501i | ||||
\(615\) | −11.6506 | + | 14.6094i | −0.469796 | + | 0.589106i | ||||
\(616\) | 6.92686 | − | 30.3485i | 0.279091 | − | 1.22278i | ||||
\(617\) | −21.2721 | − | 10.2441i | −0.856382 | − | 0.412412i | −0.0464396 | − | 0.998921i | \(-0.514788\pi\) |
−0.809943 | + | 0.586509i | \(0.800502\pi\) | |||||||
\(618\) | 2.93710 | + | 3.68300i | 0.118147 | + | 0.148152i | ||||
\(619\) | −12.3644 | − | 15.5045i | −0.496967 | − | 0.623177i | 0.468575 | − | 0.883424i | \(-0.344767\pi\) |
−0.965542 | + | 0.260247i | \(0.916196\pi\) | |||||||
\(620\) | 1.67994 | + | 7.36031i | 0.0674681 | + | 0.295597i | ||||
\(621\) | 15.5273 | + | 7.47757i | 0.623090 | + | 0.300064i | ||||
\(622\) | 7.64475 | − | 3.68152i | 0.306527 | − | 0.147615i | ||||
\(623\) | −11.5445 | − | 50.5798i | −0.462521 | − | 2.02644i | ||||
\(624\) | 9.32156 | + | 40.8404i | 0.373161 | + | 1.63492i | ||||
\(625\) | −2.01647 | + | 0.971082i | −0.0806589 | + | 0.0388433i | ||||
\(626\) | −7.76232 | − | 3.73814i | −0.310245 | − | 0.149406i | ||||
\(627\) | 11.6423 | + | 51.0081i | 0.464947 | + | 2.03707i | ||||
\(628\) | −13.8839 | − | 17.4099i | −0.554028 | − | 0.694729i | ||||
\(629\) | 0.354677 | + | 0.444750i | 0.0141419 | + | 0.0177334i | ||||
\(630\) | −4.01715 | − | 1.93456i | −0.160047 | − | 0.0770745i | ||||
\(631\) | −4.98776 | + | 21.8528i | −0.198560 | + | 0.869947i | 0.773235 | + | 0.634119i | \(0.218637\pi\) |
−0.971795 | + | 0.235828i | \(0.924220\pi\) | |||||||
\(632\) | 15.5385 | − | 19.4846i | 0.618086 | − | 0.775056i | ||||
\(633\) | −12.0871 | + | 52.9572i | −0.480421 | + | 2.10486i | ||||
\(634\) | −1.88316 | + | 0.906883i | −0.0747899 | + | 0.0360169i | ||||
\(635\) | 10.7276 | + | 13.4520i | 0.425714 | + | 0.533828i | ||||
\(636\) | 34.2006 | − | 16.4701i | 1.35614 | − | 0.653083i | ||||
\(637\) | −55.1308 | + | 69.1319i | −2.18436 | + | 2.73910i | ||||
\(638\) | −9.87026 | −0.390768 | ||||||||
\(639\) | 5.13985 | 0.203329 | ||||||||
\(640\) | 8.72855 | − | 10.9453i | 0.345026 | − | 0.432649i | ||||
\(641\) | −27.8199 | − | 13.3974i | −1.09882 | − | 0.529164i | −0.205533 | − | 0.978650i | \(-0.565893\pi\) |
−0.893287 | + | 0.449486i | \(0.851607\pi\) | |||||||
\(642\) | 1.38472 | + | 6.06685i | 0.0546505 | + | 0.239439i | ||||
\(643\) | 3.07034 | − | 13.4520i | 0.121082 | − | 0.530496i | −0.877610 | − | 0.479375i | \(-0.840863\pi\) |
0.998692 | − | 0.0511211i | \(-0.0162795\pi\) | |||||||
\(644\) | 52.7920 | 2.08030 | ||||||||
\(645\) | 5.86761 | + | 17.7943i | 0.231037 | + | 0.700649i | ||||
\(646\) | −2.41211 | −0.0949032 | ||||||||
\(647\) | −0.610407 | + | 2.67437i | −0.0239976 | + | 0.105140i | −0.985508 | − | 0.169627i | \(-0.945744\pi\) |
0.961511 | + | 0.274767i | \(0.0886008\pi\) | |||||||
\(648\) | −4.03993 | − | 17.7001i | −0.158704 | − | 0.695326i | ||||
\(649\) | −17.5808 | − | 8.46648i | −0.690108 | − | 0.332338i | ||||
\(650\) | 5.67259 | − | 7.11320i | 0.222497 | − | 0.279003i | ||||
\(651\) | 31.4038 | 1.23081 | ||||||||
\(652\) | 26.8264 | 1.05060 | ||||||||
\(653\) | 1.82139 | − | 2.28395i | 0.0712764 | − | 0.0893778i | −0.744915 | − | 0.667159i | \(-0.767510\pi\) |
0.816191 | + | 0.577782i | \(0.196081\pi\) | |||||||
\(654\) | 9.47046 | − | 4.56073i | 0.370324 | − | 0.178339i | ||||
\(655\) | −1.21735 | − | 1.52651i | −0.0475658 | − | 0.0596456i | ||||
\(656\) | −17.3687 | + | 8.36433i | −0.678134 | + | 0.326572i | ||||
\(657\) | −6.19783 | + | 27.1545i | −0.241800 | + | 1.05940i | ||||
\(658\) | −5.97157 | + | 7.48811i | −0.232796 | + | 0.291917i | ||||
\(659\) | 1.93259 | − | 8.46721i | 0.0752829 | − | 0.329836i | −0.923237 | − | 0.384232i | \(-0.874466\pi\) |
0.998519 | + | 0.0543963i | \(0.0173234\pi\) | |||||||
\(660\) | 19.7863 | + | 9.52858i | 0.770181 | + | 0.370900i | ||||
\(661\) | −17.8521 | − | 22.3858i | −0.694367 | − | 0.870708i | 0.302222 | − | 0.953238i | \(-0.402272\pi\) |
−0.996589 | + | 0.0825295i | \(0.973700\pi\) | |||||||
\(662\) | −3.45609 | − | 4.33380i | −0.134325 | − | 0.168438i | ||||
\(663\) | −3.16220 | − | 13.8545i | −0.122810 | − | 0.538064i | ||||
\(664\) | −5.34810 | − | 2.57551i | −0.207547 | − | 0.0999492i | ||||
\(665\) | −30.3490 | + | 14.6153i | −1.17688 | + | 0.566757i | ||||
\(666\) | 0.0950449 | + | 0.416419i | 0.00368292 | + | 0.0161359i | ||||
\(667\) | −7.81981 | − | 34.2608i | −0.302784 | − | 1.32658i | ||||
\(668\) | −8.71576 | + | 4.19729i | −0.337223 | + | 0.162398i | ||||
\(669\) | −9.37442 | − | 4.51448i | −0.362436 | − | 0.174540i | ||||
\(670\) | 0.665122 | + | 2.91409i | 0.0256959 | + | 0.112581i | ||||
\(671\) | −11.5895 | − | 14.5328i | −0.447408 | − | 0.561032i | ||||
\(672\) | −27.7979 | − | 34.8575i | −1.07233 | − | 1.34466i | ||||
\(673\) | −23.9768 | − | 11.5466i | −0.924237 | − | 0.445089i | −0.0896553 | − | 0.995973i | \(-0.528577\pi\) |
−0.834582 | + | 0.550884i | \(0.814291\pi\) | |||||||
\(674\) | 1.88411 | − | 8.25482i | 0.0725731 | − | 0.317964i | ||||
\(675\) | 5.52168 | − | 6.92397i | 0.212530 | − | 0.266504i | ||||
\(676\) | 11.8909 | − | 52.0973i | 0.457341 | − | 2.00374i | ||||
\(677\) | −2.94145 | + | 1.41653i | −0.113049 | + | 0.0544416i | −0.489554 | − | 0.871973i | \(-0.662840\pi\) |
0.376504 | + | 0.926415i | \(0.377126\pi\) | |||||||
\(678\) | −3.66643 | − | 4.59755i | −0.140808 | − | 0.176568i | ||||
\(679\) | −40.5513 | + | 19.5285i | −1.55622 | + | 0.749434i | ||||
\(680\) | −1.32528 | + | 1.66185i | −0.0508223 | + | 0.0637291i | ||||
\(681\) | 19.5249 | 0.748198 | ||||||||
\(682\) | 5.69623 | 0.218120 | ||||||||
\(683\) | −18.9167 | + | 23.7208i | −0.723828 | + | 0.907652i | −0.998548 | − | 0.0538728i | \(-0.982843\pi\) |
0.274720 | + | 0.961524i | \(0.411415\pi\) | |||||||
\(684\) | 16.4175 | + | 7.90625i | 0.627739 | + | 0.302303i | ||||
\(685\) | 3.35879 | + | 14.7158i | 0.128333 | + | 0.562263i | ||||
\(686\) | 2.82625 | − | 12.3826i | 0.107907 | − | 0.472770i | ||||
\(687\) | −14.3732 | −0.548372 | ||||||||
\(688\) | −2.51120 | + | 19.1663i | −0.0957385 | + | 0.730707i | ||||
\(689\) | −62.2199 | −2.37039 | ||||||||
\(690\) | 1.72933 | − | 7.57668i | 0.0658343 | − | 0.288439i | ||||
\(691\) | −6.06416 | − | 26.5688i | −0.230692 | − | 1.01073i | −0.949068 | − | 0.315072i | \(-0.897971\pi\) |
0.718376 | − | 0.695655i | \(-0.244886\pi\) | |||||||
\(692\) | 5.30292 | + | 2.55375i | 0.201587 | + | 0.0970790i | ||||
\(693\) | 21.1031 | − | 26.4625i | 0.801642 | − | 1.00523i | ||||
\(694\) | −0.264440 | −0.0100380 | ||||||||
\(695\) | −1.08062 | −0.0409901 | ||||||||
\(696\) | −12.1445 | + | 15.2287i | −0.460335 | + | 0.577242i | ||||
\(697\) | 5.89207 | − | 2.83747i | 0.223178 | − | 0.107477i | ||||
\(698\) | 0.214613 | + | 0.269116i | 0.00812322 | + | 0.0101862i | ||||
\(699\) | 39.6544 | − | 19.0966i | 1.49987 | − | 0.722299i | ||||
\(700\) | 6.03662 | − | 26.4482i | 0.228163 | − | 0.999647i | ||||
\(701\) | 21.7071 | − | 27.2199i | 0.819868 | − | 1.02808i | −0.179152 | − | 0.983821i | \(-0.557335\pi\) |
0.999020 | − | 0.0442602i | \(-0.0140931\pi\) | |||||||
\(702\) | −1.65956 | + | 7.27102i | −0.0626362 | + | 0.274427i | ||||
\(703\) | 2.90733 | + | 1.40010i | 0.109652 | + | 0.0528056i | ||||
\(704\) | 10.4880 | + | 13.1516i | 0.395282 | + | 0.495668i | ||||
\(705\) | −8.84447 | − | 11.0906i | −0.333102 | − | 0.417697i | ||||
\(706\) | −0.521654 | − | 2.28552i | −0.0196327 | − | 0.0860165i | ||||
\(707\) | 65.4929 | + | 31.5397i | 2.46311 | + | 1.18617i | ||||
\(708\) | −16.5259 | + | 7.95847i | −0.621082 | + | 0.299097i | ||||
\(709\) | −7.94683 | − | 34.8173i | −0.298449 | − | 1.30759i | −0.872436 | − | 0.488728i | \(-0.837461\pi\) |
0.573987 | − | 0.818864i | \(-0.305396\pi\) | |||||||
\(710\) | 0.360488 | + | 1.57940i | 0.0135289 | + | 0.0592738i | ||||
\(711\) | 24.4141 | − | 11.7572i | 0.915600 | − | 0.440930i | ||||
\(712\) | −16.7317 | − | 8.05758i | −0.627048 | − | 0.301971i | ||||
\(713\) | 4.51289 | + | 19.7723i | 0.169009 | + | 0.740478i | ||||
\(714\) | 2.62587 | + | 3.29274i | 0.0982707 | + | 0.123228i | ||||
\(715\) | −22.4435 | − | 28.1432i | −0.839339 | − | 1.05250i | ||||
\(716\) | 5.70829 | + | 2.74897i | 0.213329 | + | 0.102734i | ||||
\(717\) | 6.80142 | − | 29.7990i | 0.254004 | − | 1.11286i | ||||
\(718\) | 4.93913 | − | 6.19347i | 0.184327 | − | 0.231138i | ||||
\(719\) | 9.00141 | − | 39.4377i | 0.335696 | − | 1.47078i | −0.472219 | − | 0.881481i | \(-0.656547\pi\) |
0.807915 | − | 0.589299i | \(-0.200596\pi\) | |||||||
\(720\) | 6.13820 | − | 2.95600i | 0.228757 | − | 0.110164i | ||||
\(721\) | −14.3547 | − | 18.0003i | −0.534599 | − | 0.670365i | ||||
\(722\) | −5.04874 | + | 2.43135i | −0.187895 | + | 0.0904853i | ||||
\(723\) | 28.9560 | − | 36.3097i | 1.07688 | − | 1.35037i | ||||
\(724\) | −5.95091 | −0.221164 | ||||||||
\(725\) | −18.0584 | −0.670674 | ||||||||
\(726\) | 3.96458 | − | 4.97143i | 0.147139 | − | 0.184507i | ||||
\(727\) | 8.77073 | + | 4.22376i | 0.325288 | + | 0.156651i | 0.589400 | − | 0.807842i | \(-0.299364\pi\) |
−0.264111 | + | 0.964492i | \(0.585079\pi\) | |||||||
\(728\) | 10.6726 | + | 46.7595i | 0.395551 | + | 1.73302i | ||||
\(729\) | 0.466055 | − | 2.04192i | 0.0172613 | − | 0.0756267i | ||||
\(730\) | −8.77886 | −0.324920 | ||||||||
\(731\) | 0.851886 | − | 6.50187i | 0.0315081 | − | 0.240480i | ||||
\(732\) | −17.4728 | −0.645813 | ||||||||
\(733\) | 0.0371825 | − | 0.162907i | 0.00137337 | − | 0.00601711i | −0.974237 | − | 0.225528i | \(-0.927589\pi\) |
0.975610 | + | 0.219511i | \(0.0704463\pi\) | |||||||
\(734\) | −0.972068 | − | 4.25891i | −0.0358797 | − | 0.157199i | ||||
\(735\) | 34.9691 | + | 16.8402i | 1.28985 | + | 0.621161i | ||||
\(736\) | 17.9521 | − | 22.5112i | 0.661723 | − | 0.829774i | ||||
\(737\) | −22.6903 | −0.835808 | ||||||||
\(738\) | 4.91036 | 0.180753 | ||||||||
\(739\) | 22.5966 | − | 28.3353i | 0.831231 | − | 1.04233i | −0.167177 | − | 0.985927i | \(-0.553465\pi\) |
0.998408 | − | 0.0564035i | \(-0.0179633\pi\) | |||||||
\(740\) | 1.22034 | − | 0.587687i | 0.0448608 | − | 0.0216038i | ||||
\(741\) | −50.2607 | − | 63.0249i | −1.84637 | − | 2.31528i | ||||
\(742\) | 16.6137 | − | 8.00072i | 0.609907 | − | 0.293716i | ||||
\(743\) | −3.45156 | + | 15.1223i | −0.126625 | + | 0.554782i | 0.871320 | + | 0.490715i | \(0.163264\pi\) |
−0.997946 | + | 0.0640669i | \(0.979593\pi\) | |||||||
\(744\) | 7.00870 | − | 8.78863i | 0.256951 | − | 0.322207i | ||||
\(745\) | 3.41250 | − | 14.9512i | 0.125024 | − | 0.547768i | ||||
\(746\) | 4.13874 | + | 1.99311i | 0.151530 | + | 0.0729731i | ||||
\(747\) | −4.02413 | − | 5.04610i | −0.147235 | − | 0.184627i | ||||
\(748\) | −4.79208 | − | 6.00908i | −0.175216 | − | 0.219714i | ||||
\(749\) | −6.76767 | − | 29.6511i | −0.247285 | − | 1.08343i | ||||
\(750\) | −9.07146 | − | 4.36858i | −0.331243 | − | 0.159518i | ||||
\(751\) | 27.6087 | − | 13.2957i | 1.00746 | − | 0.485166i | 0.143995 | − | 0.989578i | \(-0.454005\pi\) |
0.863463 | + | 0.504413i | \(0.168291\pi\) | |||||||
\(752\) | −3.25651 | − | 14.2677i | −0.118753 | − | 0.520290i | ||||
\(753\) | −9.91687 | − | 43.4486i | −0.361391 | − | 1.58336i | ||||
\(754\) | 13.7016 | − | 6.59834i | 0.498983 | − | 0.240297i | ||||
\(755\) | −4.89550 | − | 2.35755i | −0.178166 | − | 0.0858000i | ||||
\(756\) | 4.94840 | + | 21.6804i | 0.179972 | + | 0.788508i | ||||
\(757\) | −4.72978 | − | 5.93095i | −0.171907 | − | 0.215564i | 0.688413 | − | 0.725319i | \(-0.258308\pi\) |
−0.860320 | + | 0.509755i | \(0.829736\pi\) | |||||||
\(758\) | 2.80934 | + | 3.52281i | 0.102040 | + | 0.127954i | ||||
\(759\) | 53.1527 | + | 25.5970i | 1.92932 | + | 0.929113i | ||||
\(760\) | −2.68306 | + | 11.7553i | −0.0973250 | + | 0.426409i | ||||
\(761\) | 6.09425 | − | 7.64194i | 0.220916 | − | 0.277020i | −0.659006 | − | 0.752137i | \(-0.729023\pi\) |
0.879923 | + | 0.475117i | \(0.157594\pi\) | |||||||
\(762\) | 2.71542 | − | 11.8970i | 0.0983692 | − | 0.430984i | ||||
\(763\) | −46.2859 | + | 22.2901i | −1.67566 | + | 0.806956i | ||||
\(764\) | 10.6640 | + | 13.3723i | 0.385811 | + | 0.483792i | ||||
\(765\) | −2.08229 | + | 1.00278i | −0.0752854 | + | 0.0362555i | ||||
\(766\) | −8.67586 | + | 10.8792i | −0.313472 | + | 0.393081i | ||||
\(767\) | 30.0650 | 1.08559 | ||||||||
\(768\) | 7.45478 | 0.269001 | ||||||||
\(769\) | −10.6486 | + | 13.3529i | −0.383998 | + | 0.481518i | −0.935837 | − | 0.352432i | \(-0.885355\pi\) |
0.551839 | + | 0.833950i | \(0.313926\pi\) | |||||||
\(770\) | 9.61162 | + | 4.62871i | 0.346379 | + | 0.166807i | ||||
\(771\) | 14.2239 | + | 62.3191i | 0.512262 | + | 2.24437i | ||||
\(772\) | 3.17487 | − | 13.9100i | 0.114266 | − | 0.500633i | ||||
\(773\) | −13.0666 | −0.469972 | −0.234986 | − | 0.971999i | \(-0.575504\pi\) | ||||
−0.234986 | + | 0.971999i | \(0.575504\pi\) | |||||||
\(774\) | 2.69449 | − | 4.12095i | 0.0968516 | − | 0.148125i | ||||
\(775\) | 10.4217 | 0.374359 | ||||||||
\(776\) | −3.58502 | + | 15.7070i | −0.128695 | + | 0.563849i | ||||
\(777\) | −1.25372 | − | 5.49292i | −0.0449771 | − | 0.197058i | ||||
\(778\) | −10.3567 | − | 4.98755i | −0.371307 | − | 0.178812i | ||||
\(779\) | 23.1296 | − | 29.0036i | 0.828705 | − | 1.03916i | ||||
\(780\) | −33.8367 | −1.21155 | ||||||||
\(781\) | −12.2979 | −0.440052 | ||||||||
\(782\) | −1.69580 | + | 2.12647i | −0.0606418 | + | 0.0760424i | ||||
\(783\) | 13.3371 | − | 6.42281i | 0.476629 | − | 0.229532i | ||||
\(784\) | 24.9657 | + | 31.3060i | 0.891631 | + | 1.11807i | ||||
\(785\) | 14.4347 | − | 6.95138i | 0.515196 | − | 0.248105i | ||||
\(786\) | −0.308140 | + | 1.35005i | −0.0109910 | + | 0.0481546i | ||||
\(787\) | 3.30428 | − | 4.14344i | 0.117785 | − | 0.147698i | −0.719443 | − | 0.694551i | \(-0.755603\pi\) |
0.837228 | + | 0.546853i | \(0.184175\pi\) | |||||||
\(788\) | 2.36174 | − | 10.3475i | 0.0841335 | − | 0.368613i | ||||
\(789\) | −4.56202 | − | 2.19695i | −0.162412 | − | 0.0782137i | ||||
\(790\) | 5.32512 | + | 6.67749i | 0.189459 | + | 0.237574i | ||||
\(791\) | 17.9193 | + | 22.4700i | 0.637136 | + | 0.798943i | ||||
\(792\) | −2.69597 | − | 11.8118i | −0.0957970 | − | 0.419714i | ||||
\(793\) | 25.8035 | + | 12.4263i | 0.916308 | + | 0.441271i | ||||
\(794\) | −10.3848 | + | 5.00104i | −0.368541 | + | 0.177480i | ||||
\(795\) | 6.07729 | + | 26.6263i | 0.215539 | + | 0.944339i | ||||
\(796\) | 8.63429 | + | 37.8293i | 0.306034 | + | 1.34082i | ||||
\(797\) | 25.0470 | − | 12.0620i | 0.887210 | − | 0.427258i | 0.0659574 | − | 0.997822i | \(-0.478990\pi\) |
0.821253 | + | 0.570565i | \(0.193276\pi\) | |||||||
\(798\) | 21.5246 | + | 10.3657i | 0.761962 | + | 0.366942i | ||||
\(799\) | 1.10472 | + | 4.84011i | 0.0390823 | + | 0.171231i | ||||
\(800\) | −9.22508 | − | 11.5679i | −0.326156 | − | 0.408986i | ||||
\(801\) | −12.5896 | − | 15.7869i | −0.444833 | − | 0.557802i | ||||
\(802\) | −10.3229 | − | 4.97124i | −0.364514 | − | 0.175541i | ||||
\(803\) | 14.8292 | − | 64.9711i | 0.523312 | − | 2.29278i | ||||
\(804\) | −13.2983 | + | 16.6756i | −0.468995 | + | 0.588101i | ||||
\(805\) | −8.45190 | + | 37.0302i | −0.297890 | + | 1.30514i | ||||
\(806\) | −7.90733 | + | 3.80797i | −0.278524 | + | 0.134130i | ||||
\(807\) | −33.5237 | − | 42.0373i | −1.18009 | − | 1.47978i | ||||
\(808\) | 23.4434 | − | 11.2897i | 0.824736 | − | 0.397172i | ||||
\(809\) | −0.400645 | + | 0.502392i | −0.0140859 | + | 0.0176632i | −0.788825 | − | 0.614618i | \(-0.789310\pi\) |
0.774739 | + | 0.632282i | \(0.217881\pi\) | |||||||
\(810\) | 6.22193 | 0.218616 | ||||||||
\(811\) | −6.69847 | −0.235215 | −0.117608 | − | 0.993060i | \(-0.537523\pi\) | ||||
−0.117608 | + | 0.993060i | \(0.537523\pi\) | |||||||
\(812\) | 28.2724 | − | 35.4524i | 0.992165 | − | 1.24414i | ||||
\(813\) | 24.4740 | + | 11.7861i | 0.858341 | + | 0.413355i | ||||
\(814\) | −0.227409 | − | 0.996344i | −0.00797069 | − | 0.0349219i | ||||
\(815\) | −4.29486 | + | 18.8170i | −0.150442 | + | 0.659130i | ||||
\(816\) | −6.43527 | −0.225280 | ||||||||
\(817\) | −11.6488 | − | 35.3266i | −0.407541 | − | 1.23592i | ||||
\(818\) | −2.42568 | −0.0848119 | ||||||||
\(819\) | −11.6044 | + | 50.8420i | −0.405489 | + | 1.77656i | ||||
\(820\) | −3.46496 | − | 15.1810i | −0.121002 | − | 0.530143i | ||||
\(821\) | 19.6128 | + | 9.44502i | 0.684491 | + | 0.329634i | 0.743606 | − | 0.668618i | \(-0.233114\pi\) |
−0.0591153 | + | 0.998251i | \(0.518828\pi\) | |||||||
\(822\) | 6.67471 | − | 8.36983i | 0.232807 | − | 0.291931i | ||||
\(823\) | 9.83940 | 0.342980 | 0.171490 | − | 0.985186i | \(-0.445142\pi\) | ||||
0.171490 | + | 0.985186i | \(0.445142\pi\) | |||||||
\(824\) | −8.24123 | −0.287097 | ||||||||
\(825\) | 18.9017 | − | 23.7019i | 0.658072 | − | 0.825196i | ||||
\(826\) | −8.02782 | + | 3.86599i | −0.279324 | + | 0.134515i | ||||
\(827\) | 20.2725 | + | 25.4209i | 0.704944 | + | 0.883972i | 0.997382 | − | 0.0723124i | \(-0.0230378\pi\) |
−0.292438 | + | 0.956285i | \(0.594466\pi\) | |||||||
\(828\) | 18.5121 | − | 8.91497i | 0.643341 | − | 0.309817i | ||||
\(829\) | −5.92709 | + | 25.9683i | −0.205856 | + | 0.901916i | 0.761434 | + | 0.648243i | \(0.224496\pi\) |
−0.967290 | + | 0.253673i | \(0.918361\pi\) | |||||||
\(830\) | 1.26836 | − | 1.59047i | 0.0440253 | − | 0.0552059i | ||||
\(831\) | −2.20974 | + | 9.68149i | −0.0766550 | + | 0.335847i | ||||
\(832\) | −23.3510 | − | 11.2453i | −0.809552 | − | 0.389859i | ||||
\(833\) | −8.46923 | − | 10.6201i | −0.293441 | − | 0.367964i | ||||
\(834\) | 0.477850 | + | 0.599206i | 0.0165466 | + | 0.0207488i | ||||
\(835\) | −1.54875 | − | 6.78552i | −0.0535968 | − | 0.234823i | ||||
\(836\) | −39.2813 | − | 18.9169i | −1.35857 | − | 0.654254i | ||||
\(837\) | −7.69698 | + | 3.70667i | −0.266046 | + | 0.128121i | ||||
\(838\) | −0.857548 | − | 3.75716i | −0.0296235 | − | 0.129789i | ||||
\(839\) | −0.167960 | − | 0.735879i | −0.00579861 | − | 0.0254054i | 0.971946 | − | 0.235205i | \(-0.0755761\pi\) |
−0.977744 | + | 0.209799i | \(0.932719\pi\) | |||||||
\(840\) | 18.9678 | − | 9.13441i | 0.654451 | − | 0.315167i | ||||
\(841\) | −1.06756 | − | 0.514111i | −0.0368125 | − | 0.0177280i | ||||
\(842\) | 2.27349 | + | 9.96080i | 0.0783496 | + | 0.343272i | ||||
\(843\) | 2.35241 | + | 2.94983i | 0.0810213 | + | 0.101597i | ||||
\(844\) | −28.2222 | − | 35.3896i | −0.971450 | − | 1.21816i | ||||
\(845\) | 34.6392 | + | 16.6813i | 1.19162 | + | 0.573856i | ||||
\(846\) | −0.829484 | + | 3.63421i | −0.0285183 | + | 0.124947i | ||||
\(847\) | −19.3765 | + | 24.2973i | −0.665784 | + | 0.834866i | ||||
\(848\) | −6.26974 | + | 27.4695i | −0.215304 | + | 0.943307i | ||||
\(849\) | 46.1564 | − | 22.2278i | 1.58408 | − | 0.762855i | ||||
\(850\) | 0.871426 | + | 1.09273i | 0.0298897 | + | 0.0374805i | ||||
\(851\) | 3.27826 | − | 1.57873i | 0.112377 | − | 0.0541181i | ||||
\(852\) | −7.20751 | + | 9.03793i | −0.246925 | + | 0.309634i | ||||
\(853\) | −0.0566560 | −0.00193987 | −0.000969933 | − | 1.00000i | \(-0.500309\pi\) | ||||
−0.000969933 | 1.00000i | \(0.500309\pi\) | ||||||||
\(854\) | −8.48778 | −0.290446 | ||||||||
\(855\) | −8.17414 | + | 10.2500i | −0.279550 | + | 0.350544i | ||||
\(856\) | −9.80853 | − | 4.72354i | −0.335249 | − | 0.161447i | ||||
\(857\) | −7.45416 | − | 32.6588i | −0.254629 | − | 1.11560i | −0.926903 | − | 0.375301i | \(-0.877539\pi\) |
0.672274 | − | 0.740303i | \(-0.265318\pi\) | |||||||
\(858\) | −5.68097 | + | 24.8900i | −0.193945 | + | 0.849730i | ||||
\(859\) | −46.3456 | −1.58129 | −0.790645 | − | 0.612274i | \(-0.790255\pi\) | ||||
−0.790645 | + | 0.612274i | \(0.790255\pi\) | |||||||
\(860\) | −14.6418 | − | 5.42245i | −0.499281 | − | 0.184904i | ||||
\(861\) | −64.7718 | −2.20742 | ||||||||
\(862\) | 3.46415 | − | 15.1774i | 0.117989 | − | 0.516945i | ||||
\(863\) | −2.13933 | − | 9.37304i | −0.0728238 | − | 0.319062i | 0.925375 | − | 0.379053i | \(-0.123750\pi\) |
−0.998199 | + | 0.0599907i | \(0.980893\pi\) | |||||||
\(864\) | 10.9275 | + | 5.26242i | 0.371762 | + | 0.179031i | ||||
\(865\) | −2.64028 | + | 3.31080i | −0.0897721 | + | 0.112571i | ||||
\(866\) | −3.37899 | −0.114823 | ||||||||
\(867\) | 2.18307 | 0.0741409 | ||||||||
\(868\) | −16.3163 | + | 20.4600i | −0.553810 | + | 0.694456i | ||||
\(869\) | −58.4143 | + | 28.1309i | −1.98157 | + | 0.954274i | ||||
\(870\) | −4.16198 | − | 5.21896i | −0.141104 | − | 0.176939i | ||||
\(871\) | 31.4980 | − | 15.1686i | 1.06727 | − | 0.513969i | ||||
\(872\) | −4.09200 | + | 17.9282i | −0.138573 | + | 0.607126i | ||||
\(873\) | −10.9220 | + | 13.6958i | −0.369654 | + | 0.463532i | ||||
\(874\) | −3.43319 | + | 15.0418i | −0.116130 | + | 0.508797i | ||||
\(875\) | 44.3358 | + | 21.3510i | 1.49882 | + | 0.721795i | ||||
\(876\) | −39.0574 | − | 48.9765i | −1.31963 | − | 1.65476i | ||||
\(877\) | −10.1413 | − | 12.7168i | −0.342447 | − | 0.429415i | 0.580549 | − | 0.814226i | \(-0.302838\pi\) |
−0.922995 | + | 0.384811i | \(0.874267\pi\) | |||||||
\(878\) | −2.94358 | − | 12.8967i | −0.0993410 | − | 0.435241i | ||||
\(879\) | 38.4929 | + | 18.5372i | 1.29833 | + | 0.625244i | ||||
\(880\) | −14.6865 | + | 7.07267i | −0.495083 | + | 0.238420i | ||||
\(881\) | −9.52611 | − | 41.7366i | −0.320943 | − | 1.40614i | −0.835879 | − | 0.548914i | \(-0.815042\pi\) |
0.514936 | − | 0.857228i | \(-0.327816\pi\) | |||||||
\(882\) | −2.26955 | − | 9.94356i | −0.0764198 | − | 0.334817i | ||||
\(883\) | 6.93365 | − | 3.33907i | 0.233336 | − | 0.112369i | −0.313563 | − | 0.949567i | \(-0.601523\pi\) |
0.546899 | + | 0.837199i | \(0.315808\pi\) | |||||||
\(884\) | 10.6693 | + | 5.13808i | 0.358849 | + | 0.172812i | ||||
\(885\) | −2.93658 | − | 12.8660i | −0.0987121 | − | 0.432486i | ||||
\(886\) | −5.54757 | − | 6.95643i | −0.186374 | − | 0.233706i | ||||
\(887\) | 12.1905 | + | 15.2864i | 0.409316 | + | 0.513266i | 0.943170 | − | 0.332311i | \(-0.107828\pi\) |
−0.533854 | + | 0.845577i | \(0.679257\pi\) | |||||||
\(888\) | −1.81705 | − | 0.875046i | −0.0609762 | − | 0.0293646i | ||||
\(889\) | −13.2713 | + | 58.1454i | −0.445106 | + | 1.95014i | ||||
\(890\) | 3.96810 | − | 4.97583i | 0.133011 | − | 0.166790i | ||||
\(891\) | −10.5101 | + | 46.0476i | −0.352101 | + | 1.54265i | ||||
\(892\) | 7.81185 | − | 3.76199i | 0.261560 | − | 0.125961i | ||||
\(893\) | 17.5587 | + | 22.0179i | 0.587580 | + | 0.736802i | ||||
\(894\) | −9.79948 | + | 4.71918i | −0.327744 | + | 0.157833i | ||||
\(895\) | −2.84211 | + | 3.56390i | −0.0950013 | + | 0.119128i | ||||
\(896\) | 48.5267 | 1.62116 | ||||||||
\(897\) | −90.8968 | −3.03495 | ||||||||
\(898\) | 0.682254 | − | 0.855519i | 0.0227671 | − | 0.0285490i | ||||
\(899\) | 15.6949 | + | 7.55826i | 0.523454 | + | 0.252082i | ||||
\(900\) | −2.34948 | − | 10.2938i | −0.0783161 | − | 0.343125i | ||||
\(901\) | 2.12691 | − | 9.31862i | 0.0708578 | − | 0.310448i | ||||
\(902\) | −11.7488 | −0.391191 | ||||||||
\(903\) | −35.5427 | + | 54.3589i | −1.18279 | + | 1.80895i | ||||
\(904\) | 10.2877 | 0.342163 | ||||||||
\(905\) | 0.952729 | − | 4.17418i | 0.0316698 | − | 0.138754i | ||||
\(906\) | 0.857530 | + | 3.75709i | 0.0284895 | + | 0.124821i | ||||
\(907\) | 0.367608 | + | 0.177031i | 0.0122062 | + | 0.00587821i | 0.439977 | − | 0.898009i | \(-0.354987\pi\) |
−0.427771 | + | 0.903887i | \(0.640701\pi\) | |||||||
\(908\) | −10.1445 | + | 12.7207i | −0.336656 | + | 0.422153i | ||||
\(909\) | 28.2920 | 0.938385 | ||||||||
\(910\) | −16.4369 | −0.544877 | ||||||||
\(911\) | −37.4706 | + | 46.9867i | −1.24146 | + | 1.55674i | −0.547235 | + | 0.836979i | \(0.684320\pi\) |
−0.694223 | + | 0.719760i | \(0.744252\pi\) | |||||||
\(912\) | −32.8895 | + | 15.8388i | −1.08908 | + | 0.524474i | ||||
\(913\) | 9.62833 | + | 12.0735i | 0.318651 | + | 0.399576i | ||||
\(914\) | −7.92072 | + | 3.81442i | −0.261994 | + | 0.126170i | ||||
\(915\) | 2.79736 | − | 12.2560i | 0.0924779 | − | 0.405172i | ||||
\(916\) | 7.46780 | − | 9.36432i | 0.246743 | − | 0.309406i | ||||
\(917\) | 1.50600 | − | 6.59822i | 0.0497325 | − | 0.217892i | ||||
\(918\) | −1.03224 | − | 0.497102i | −0.0340691 | − | 0.0164068i | ||||
\(919\) | 1.95543 | + | 2.45203i | 0.0645036 | + | 0.0808849i | 0.813037 | − | 0.582213i | \(-0.197813\pi\) |
−0.748533 | + | 0.663098i | \(0.769241\pi\) | |||||||
\(920\) | 8.47694 | + | 10.6297i | 0.279476 | + | 0.350452i | ||||
\(921\) | −2.28948 | − | 10.0309i | −0.0754409 | − | 0.330528i | ||||
\(922\) | −3.08440 | − | 1.48537i | −0.101579 | − | 0.0489180i | ||||
\(923\) | 17.0715 | − | 8.22120i | 0.561915 | − | 0.270604i | ||||
\(924\) | 16.9392 | + | 74.2157i | 0.557260 | + | 2.44152i | ||||
\(925\) | −0.416063 | − | 1.82289i | −0.0136801 | − | 0.0599363i | ||||
\(926\) | −5.94255 | + | 2.86178i | −0.195284 | + | 0.0940440i | ||||
\(927\) | −8.07336 | − | 3.88793i | −0.265164 | − | 0.127696i | ||||
\(928\) | −5.50327 | − | 24.1114i | −0.180654 | − | 0.791496i | ||||
\(929\) | −27.2557 | − | 34.1776i | −0.894231 | − | 1.12133i | −0.992015 | − | 0.126122i | \(-0.959747\pi\) |
0.0977837 | − | 0.995208i | \(-0.468825\pi\) | |||||||
\(930\) | 2.40192 | + | 3.01191i | 0.0787621 | + | 0.0987646i | ||||
\(931\) | −69.4233 | − | 33.4325i | −2.27526 | − | 1.09571i | ||||
\(932\) | −8.16136 | + | 35.7573i | −0.267334 | + | 1.17127i | ||||
\(933\) | −27.1603 | + | 34.0579i | −0.889188 | + | 1.11501i | ||||
\(934\) | −0.376253 | + | 1.64847i | −0.0123114 | + | 0.0539396i | ||||
\(935\) | 4.98219 | − | 2.39930i | 0.162935 | − | 0.0784654i | ||||
\(936\) | 11.6387 | + | 14.5945i | 0.380424 | + | 0.477036i | ||||
\(937\) | 42.6851 | − | 20.5561i | 1.39446 | − | 0.671538i | 0.422432 | − | 0.906394i | \(-0.361176\pi\) |
0.972030 | + | 0.234857i | \(0.0754621\pi\) | |||||||
\(938\) | −6.45994 | + | 8.10050i | −0.210924 | + | 0.264491i | ||||
\(939\) | 44.2317 | 1.44345 | ||||||||
\(940\) | 11.8209 | 0.385557 | ||||||||
\(941\) | −22.7092 | + | 28.4765i | −0.740300 | + | 0.928307i | −0.999294 | − | 0.0375719i | \(-0.988038\pi\) |
0.258994 | + | 0.965879i | \(0.416609\pi\) | |||||||
\(942\) | −10.2376 | − | 4.93017i | −0.333559 | − | 0.160634i | ||||
\(943\) | −9.30807 | − | 40.7813i | −0.303112 | − | 1.32802i | ||||
\(944\) | 3.02958 | − | 13.2734i | 0.0986043 | − | 0.432014i | ||||
\(945\) | −15.9996 | −0.520467 | ||||||||
\(946\) | −6.44698 | + | 9.85999i | −0.209609 | + | 0.320576i | ||||
\(947\) | −0.177782 | −0.00577713 | −0.00288857 | − | 0.999996i | \(-0.500919\pi\) | ||||
−0.00288857 | + | 0.999996i | \(0.500919\pi\) | |||||||
\(948\) | −13.5615 | + | 59.4167i | −0.440456 | + | 1.92977i | ||||
\(949\) | 22.8482 | + | 100.104i | 0.741682 | + | 3.24952i | ||||
\(950\) | 7.14319 | + | 3.43998i | 0.231756 | + | 0.111608i | ||||
\(951\) | 6.69050 | − | 8.38962i | 0.216954 | − | 0.272052i | ||||
\(952\) | −7.36796 | −0.238797 | ||||||||
\(953\) | 12.7098 | 0.411711 | 0.205855 | − | 0.978582i | \(-0.434002\pi\) | ||||
0.205855 | + | 0.978582i | \(0.434002\pi\) | |||||||
\(954\) | 4.47469 | − | 5.61109i | 0.144874 | − | 0.181666i | ||||
\(955\) | −11.0871 | + | 5.33926i | −0.358769 | + | 0.172774i | ||||
\(956\) | 15.8806 | + | 19.9137i | 0.513616 | + | 0.644055i | ||||
\(957\) | 45.6552 | − | 21.9864i | 1.47582 | − | 0.710719i | ||||
\(958\) | −4.01115 | + | 17.5740i | −0.129594 | + | 0.567790i | ||||
\(959\) | −32.6219 | + | 40.9066i | −1.05342 | + | 1.32094i | ||||
\(960\) | −2.53149 | + | 11.0912i | −0.0817036 | + | 0.357967i | ||||
\(961\) | 18.8723 | + | 9.08844i | 0.608785 | + | 0.293176i | ||||
\(962\) | 0.981745 | + | 1.23107i | 0.0316527 | + | 0.0396913i | ||||
\(963\) | −7.38033 | − | 9.25464i | −0.237828 | − | 0.298227i | ||||
\(964\) | 8.61171 | + | 37.7304i | 0.277365 | + | 1.21521i | ||||
\(965\) | 9.24869 | + | 4.45393i | 0.297726 | + | 0.143377i | ||||
\(966\) | 24.2708 | − | 11.6882i | 0.780900 | − | 0.376062i | ||||
\(967\) | −3.70494 | − | 16.2324i | −0.119143 | − | 0.521998i | −0.998914 | − | 0.0466005i | \(-0.985161\pi\) |
0.879771 | − | 0.475398i | \(-0.157696\pi\) | |||||||
\(968\) | 2.47538 | + | 10.8454i | 0.0795618 | + | 0.348583i | ||||
\(969\) | 11.1573 | − | 5.37306i | 0.358424 | − | 0.172608i | ||||
\(970\) | −4.97453 | − | 2.39561i | −0.159723 | − | 0.0769184i | ||||
\(971\) | 2.19889 | + | 9.63398i | 0.0705658 | + | 0.309169i | 0.997877 | − | 0.0651214i | \(-0.0207435\pi\) |
−0.927312 | + | 0.374290i | \(0.877886\pi\) | |||||||
\(972\) | 18.5134 | + | 23.2150i | 0.593816 | + | 0.744622i | ||||
\(973\) | −2.33544 | − | 2.92855i | −0.0748709 | − | 0.0938851i | ||||
\(974\) | 8.69033 | + | 4.18504i | 0.278456 | + | 0.134097i | ||||
\(975\) | −10.3938 | + | 45.5382i | −0.332868 | + | 1.45839i | ||||
\(976\) | 8.08624 | − | 10.1398i | 0.258834 | − | 0.324568i | ||||
\(977\) | −2.56813 | + | 11.2517i | −0.0821617 | + | 0.359974i | −0.999251 | − | 0.0387090i | \(-0.987675\pi\) |
0.917089 | + | 0.398683i | \(0.130533\pi\) | |||||||
\(978\) | 12.3333 | − | 5.93939i | 0.394375 | − | 0.189921i | ||||
\(979\) | 30.1226 | + | 37.7725i | 0.962721 | + | 1.20721i | ||||
\(980\) | −29.1403 | + | 14.0332i | −0.930852 | + | 0.448275i | ||||
\(981\) | −12.4666 | + | 15.6326i | −0.398026 | + | 0.499109i | ||||
\(982\) | −13.7923 | −0.440131 | ||||||||
\(983\) | −26.8003 | −0.854798 | −0.427399 | − | 0.904063i | \(-0.640570\pi\) | ||||
−0.427399 | + | 0.904063i | \(0.640570\pi\) | |||||||
\(984\) | −14.4558 | + | 18.1270i | −0.460834 | + | 0.577867i | ||||
\(985\) | 6.87997 | + | 3.31322i | 0.219214 | + | 0.105568i | ||||
\(986\) | 0.519854 | + | 2.27763i | 0.0165555 | + | 0.0725345i | ||||
\(987\) | 10.9416 | − | 47.9383i | 0.348275 | − | 1.52589i | ||||
\(988\) | 67.1752 | 2.13713 | ||||||||
\(989\) | −39.3329 | − | 14.5665i | −1.25071 | − | 0.463189i | ||||
\(990\) | 4.15208 | 0.131962 | ||||||||
\(991\) | 0.982339 | − | 4.30391i | 0.0312050 | − | 0.136718i | −0.956926 | − | 0.290332i | \(-0.906234\pi\) |
0.988131 | + | 0.153614i | \(0.0490913\pi\) | |||||||
\(992\) | 3.17600 | + | 13.9149i | 0.100838 | + | 0.441800i | ||||
\(993\) | 25.6399 | + | 12.3475i | 0.813658 | + | 0.391837i | ||||
\(994\) | −3.50120 | + | 4.39037i | −0.111051 | + | 0.139254i | ||||
\(995\) | −27.9171 | −0.885033 | ||||||||
\(996\) | 14.5160 | 0.459958 | ||||||||
\(997\) | −26.3583 | + | 33.0522i | −0.834775 | + | 1.04678i | 0.163410 | + | 0.986558i | \(0.447751\pi\) |
−0.998185 | + | 0.0602169i | \(0.980821\pi\) | |||||||
\(998\) | −5.92390 | + | 2.85280i | −0.187518 | + | 0.0903037i | ||||
\(999\) | 0.955628 | + | 1.19832i | 0.0302347 | + | 0.0379132i |
(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.b.35.14 | ✓ | 180 | |
43.16 | even | 7 | inner | 731.2.k.b.188.14 | yes | 180 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.k.b.35.14 | ✓ | 180 | 1.1 | even | 1 | trivial | |
731.2.k.b.188.14 | yes | 180 | 43.16 | even | 7 | inner |