Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [400,2,Mod(21,400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(400, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([0, 5, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("400.21");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 400 = 2^{4} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 400.be (of order \(20\), degree \(8\), 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: | \(3.19401608085\) |
Analytic rank: | \(0\) |
Dimension: | \(464\) |
Relative dimension: | \(58\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 21.5 | ||
Character | \(\chi\) | \(=\) | 400.21 |
Dual form | 400.2.be.a.381.5 |
$q$-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 \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(177\) | \(351\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{3}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37167 | + | 0.344287i | −0.969914 | + | 0.243448i | ||||
\(3\) | −2.96765 | + | 0.470029i | −1.71337 | + | 0.271372i | −0.934539 | − | 0.355860i | \(-0.884188\pi\) |
−0.778833 | + | 0.627231i | \(0.784188\pi\) | |||||||
\(4\) | 1.76293 | − | 0.944493i | 0.881466 | − | 0.472247i | ||||
\(5\) | −1.94195 | − | 1.10853i | −0.868467 | − | 0.495748i | ||||
\(6\) | 3.90880 | − | 1.66645i | 1.59576 | − | 0.680324i | ||||
\(7\) | − | 4.09088i | − | 1.54621i | −0.634280 | − | 0.773104i | \(-0.718703\pi\) | ||
0.634280 | − | 0.773104i | \(-0.281297\pi\) | |||||||
\(8\) | −2.09298 | + | 1.90248i | −0.739979 | + | 0.672630i | ||||
\(9\) | 5.73284 | − | 1.86271i | 1.91095 | − | 0.620904i | ||||
\(10\) | 3.04536 | + | 0.851938i | 0.963027 | + | 0.269407i | ||||
\(11\) | −1.46658 | + | 0.747262i | −0.442192 | + | 0.225308i | −0.660887 | − | 0.750485i | \(-0.729820\pi\) |
0.218695 | + | 0.975793i | \(0.429820\pi\) | |||||||
\(12\) | −4.78782 | + | 3.63155i | −1.38213 | + | 1.04834i | ||||
\(13\) | 1.12061 | + | 0.570980i | 0.310802 | + | 0.158361i | 0.602433 | − | 0.798169i | \(-0.294198\pi\) |
−0.291631 | + | 0.956531i | \(0.594198\pi\) | |||||||
\(14\) | 1.40844 | + | 5.61132i | 0.376421 | + | 1.49969i | ||||
\(15\) | 6.28406 | + | 2.37694i | 1.62254 | + | 0.613723i | ||||
\(16\) | 2.21586 | − | 3.33016i | 0.553966 | − | 0.832539i | ||||
\(17\) | 0.719264 | − | 0.522576i | 0.174447 | − | 0.126743i | −0.497136 | − | 0.867673i | \(-0.665615\pi\) |
0.671583 | + | 0.740930i | \(0.265615\pi\) | |||||||
\(18\) | −7.22223 | + | 4.52876i | −1.70230 | + | 1.06744i | ||||
\(19\) | 0.637923 | − | 4.02769i | 0.146350 | − | 0.924015i | −0.799796 | − | 0.600272i | \(-0.795059\pi\) |
0.946145 | − | 0.323743i | \(-0.104941\pi\) | |||||||
\(20\) | −4.47052 | − | 0.120097i | −0.999639 | − | 0.0268546i | ||||
\(21\) | 1.92283 | + | 12.1403i | 0.419597 | + | 2.64923i | ||||
\(22\) | 1.75439 | − | 1.52992i | 0.374037 | − | 0.326180i | ||||
\(23\) | −5.73101 | − | 1.86212i | −1.19500 | − | 0.388278i | −0.357080 | − | 0.934074i | \(-0.616228\pi\) |
−0.837918 | + | 0.545795i | \(0.816228\pi\) | |||||||
\(24\) | 5.31700 | − | 6.62966i | 1.08533 | − | 1.35327i | ||||
\(25\) | 2.54234 | + | 4.30540i | 0.508468 | + | 0.861081i | ||||
\(26\) | −1.73368 | − | 0.397382i | −0.340003 | − | 0.0779329i | ||||
\(27\) | −8.10605 | + | 4.13024i | −1.56001 | + | 0.794865i | ||||
\(28\) | −3.86381 | − | 7.21195i | −0.730191 | − | 1.36293i | ||||
\(29\) | −6.97747 | + | 1.10512i | −1.29568 | + | 0.205216i | −0.765924 | − | 0.642932i | \(-0.777718\pi\) |
−0.529760 | + | 0.848148i | \(0.677718\pi\) | |||||||
\(30\) | −9.43798 | − | 1.09685i | −1.72313 | − | 0.200256i | ||||
\(31\) | −8.04316 | + | 5.84370i | −1.44459 | + | 1.04956i | −0.457537 | + | 0.889191i | \(0.651268\pi\) |
−0.987057 | + | 0.160368i | \(0.948732\pi\) | |||||||
\(32\) | −1.89290 | + | 5.33075i | −0.334620 | + | 0.942353i | ||||
\(33\) | 4.00107 | − | 2.90695i | 0.696497 | − | 0.506035i | ||||
\(34\) | −0.806673 | + | 0.964432i | −0.138343 | + | 0.165399i | ||||
\(35\) | −4.53485 | + | 7.94429i | −0.766529 | + | 1.34283i | ||||
\(36\) | 8.34729 | − | 8.69846i | 1.39121 | − | 1.44974i | ||||
\(37\) | −2.73824 | + | 5.37411i | −0.450164 | + | 0.883498i | 0.548708 | + | 0.836014i | \(0.315120\pi\) |
−0.998872 | + | 0.0474832i | \(0.984880\pi\) | |||||||
\(38\) | 0.511663 | + | 5.74427i | 0.0830028 | + | 0.931844i | ||||
\(39\) | −3.59396 | − | 1.16775i | −0.575494 | − | 0.186989i | ||||
\(40\) | 6.17341 | − | 1.37441i | 0.976102 | − | 0.217313i | ||||
\(41\) | 11.9488 | − | 3.88241i | 1.86609 | − | 0.606330i | 0.873193 | − | 0.487375i | \(-0.162046\pi\) |
0.992900 | − | 0.118955i | \(-0.0379544\pi\) | |||||||
\(42\) | −6.81723 | − | 15.9904i | −1.05192 | − | 2.46737i | ||||
\(43\) | 1.35517 | + | 1.35517i | 0.206662 | + | 0.206662i | 0.802847 | − | 0.596185i | \(-0.203318\pi\) |
−0.596185 | + | 0.802847i | \(0.703318\pi\) | |||||||
\(44\) | −1.87971 | + | 2.70255i | −0.283376 | + | 0.407425i | ||||
\(45\) | −13.1977 | − | 2.73770i | −1.96740 | − | 0.408113i | ||||
\(46\) | 8.50213 | + | 0.581091i | 1.25357 | + | 0.0856772i | ||||
\(47\) | 5.57096 | + | 4.04754i | 0.812609 | + | 0.590395i | 0.914586 | − | 0.404392i | \(-0.132517\pi\) |
−0.101977 | + | 0.994787i | \(0.532517\pi\) | |||||||
\(48\) | −5.01064 | + | 10.9243i | −0.723223 | + | 1.57678i | ||||
\(49\) | −9.73530 | −1.39076 | ||||||||
\(50\) | −4.96954 | − | 5.03028i | −0.702799 | − | 0.711389i | ||||
\(51\) | −1.88890 | + | 1.88890i | −0.264498 | + | 0.264498i | ||||
\(52\) | 2.51485 | − | 0.0518104i | 0.348747 | − | 0.00718481i | ||||
\(53\) | 0.956719 | + | 6.04049i | 0.131416 | + | 0.829725i | 0.962043 | + | 0.272897i | \(0.0879818\pi\) |
−0.830628 | + | 0.556828i | \(0.812018\pi\) | |||||||
\(54\) | 9.69680 | − | 8.45612i | 1.31957 | − | 1.15073i | ||||
\(55\) | 3.67639 | + | 0.174601i | 0.495725 | + | 0.0235432i | ||||
\(56\) | 7.78283 | + | 8.56212i | 1.04002 | + | 1.14416i | ||||
\(57\) | 12.2526i | 1.62290i | ||||||||
\(58\) | 9.19027 | − | 3.91811i | 1.20674 | − | 0.514473i | ||||
\(59\) | −1.17975 | + | 2.31539i | −0.153590 | + | 0.301438i | −0.954962 | − | 0.296729i | \(-0.904104\pi\) |
0.801371 | + | 0.598167i | \(0.204104\pi\) | |||||||
\(60\) | 13.3234 | − | 1.74487i | 1.72004 | − | 0.225262i | ||||
\(61\) | −0.313384 | − | 0.615051i | −0.0401248 | − | 0.0787493i | 0.870074 | − | 0.492922i | \(-0.164071\pi\) |
−0.910198 | + | 0.414172i | \(0.864071\pi\) | |||||||
\(62\) | 9.02062 | − | 10.7848i | 1.14562 | − | 1.36967i | ||||
\(63\) | −7.62013 | − | 23.4524i | −0.960046 | − | 2.95472i | ||||
\(64\) | 0.761111 | − | 7.96371i | 0.0951388 | − | 0.995464i | ||||
\(65\) | −1.54322 | − | 2.35104i | −0.191413 | − | 0.291611i | ||||
\(66\) | −4.48731 | + | 5.36488i | −0.552349 | + | 0.660371i | ||||
\(67\) | 0.490167 | − | 3.09479i | 0.0598834 | − | 0.378089i | −0.939486 | − | 0.342587i | \(-0.888697\pi\) |
0.999370 | − | 0.0355022i | \(-0.0113031\pi\) | |||||||
\(68\) | 0.774444 | − | 1.60061i | 0.0939152 | − | 0.194102i | ||||
\(69\) | 17.8829 | + | 2.83237i | 2.15284 | + | 0.340977i | ||||
\(70\) | 3.48518 | − | 12.4582i | 0.416558 | − | 1.48904i | ||||
\(71\) | −8.03785 | + | 11.0631i | −0.953917 | + | 1.31295i | −0.00415130 | + | 0.999991i | \(0.501321\pi\) |
−0.949765 | + | 0.312962i | \(0.898679\pi\) | |||||||
\(72\) | −8.45492 | + | 14.8052i | −0.996422 | + | 1.74481i | ||||
\(73\) | −0.484873 | − | 0.157545i | −0.0567501 | − | 0.0184392i | 0.280504 | − | 0.959853i | \(-0.409498\pi\) |
−0.337254 | + | 0.941414i | \(0.609498\pi\) | |||||||
\(74\) | 1.90572 | − | 8.31422i | 0.221535 | − | 0.966508i | ||||
\(75\) | −9.56844 | − | 11.5819i | −1.10487 | − | 1.33737i | ||||
\(76\) | −2.67951 | − | 7.70306i | −0.307361 | − | 0.883601i | ||||
\(77\) | 3.05696 | + | 5.99962i | 0.348373 | + | 0.683720i | ||||
\(78\) | 5.33175 | + | 0.364406i | 0.603701 | + | 0.0412609i | ||||
\(79\) | 0.632723 | + | 0.459700i | 0.0711869 | + | 0.0517203i | 0.622810 | − | 0.782373i | \(-0.285991\pi\) |
−0.551623 | + | 0.834094i | \(0.685991\pi\) | |||||||
\(80\) | −7.99466 | + | 4.01066i | −0.893831 | + | 0.448405i | ||||
\(81\) | 7.48465 | − | 5.43791i | 0.831627 | − | 0.604213i | ||||
\(82\) | −15.0531 | + | 9.43919i | −1.66234 | + | 1.04238i | ||||
\(83\) | 0.536986 | − | 3.39040i | 0.0589419 | − | 0.372144i | −0.940532 | − | 0.339706i | \(-0.889673\pi\) |
0.999474 | − | 0.0324389i | \(-0.0103274\pi\) | |||||||
\(84\) | 14.8563 | + | 19.5864i | 1.62095 | + | 2.13705i | ||||
\(85\) | −1.97606 | + | 0.217494i | −0.214334 | + | 0.0235905i | ||||
\(86\) | −2.32541 | − | 1.39227i | −0.250756 | − | 0.150133i | ||||
\(87\) | 20.1872 | − | 6.55923i | 2.16430 | − | 0.703223i | ||||
\(88\) | 1.64787 | − | 4.35416i | 0.175664 | − | 0.464155i | ||||
\(89\) | −5.42062 | − | 1.76127i | −0.574584 | − | 0.186694i | 0.00728873 | − | 0.999973i | \(-0.497680\pi\) |
−0.581873 | + | 0.813280i | \(0.697680\pi\) | |||||||
\(90\) | 19.0455 | − | 0.788599i | 2.00757 | − | 0.0831257i | ||||
\(91\) | 2.33581 | − | 4.58429i | 0.244859 | − | 0.480564i | ||||
\(92\) | −11.8621 | + | 2.13011i | −1.23671 | + | 0.222079i | ||||
\(93\) | 21.1226 | − | 21.1226i | 2.19031 | − | 2.19031i | ||||
\(94\) | −9.03502 | − | 3.63386i | −0.931891 | − | 0.374805i | ||||
\(95\) | −5.70361 | + | 7.11442i | −0.585178 | + | 0.729924i | ||||
\(96\) | 3.11184 | − | 16.7095i | 0.317601 | − | 1.70541i | ||||
\(97\) | 3.80085 | + | 2.76148i | 0.385918 | + | 0.280386i | 0.763781 | − | 0.645476i | \(-0.223341\pi\) |
−0.377863 | + | 0.925862i | \(0.623341\pi\) | |||||||
\(98\) | 13.3536 | − | 3.35174i | 1.34892 | − | 0.338577i | ||||
\(99\) | −7.01576 | + | 7.01576i | −0.705110 | + | 0.705110i | ||||
\(100\) | 8.54840 | + | 5.18891i | 0.854840 | + | 0.518891i | ||||
\(101\) | 2.20763 | + | 2.20763i | 0.219667 | + | 0.219667i | 0.808358 | − | 0.588691i | \(-0.200357\pi\) |
−0.588691 | + | 0.808358i | \(0.700357\pi\) | |||||||
\(102\) | 1.94061 | − | 3.24125i | 0.192149 | − | 0.320932i | ||||
\(103\) | 4.66549 | − | 6.42150i | 0.459704 | − | 0.632729i | −0.514743 | − | 0.857344i | \(-0.672113\pi\) |
0.974447 | + | 0.224616i | \(0.0721127\pi\) | |||||||
\(104\) | −3.43169 | + | 0.936896i | −0.336505 | + | 0.0918702i | ||||
\(105\) | 9.72378 | − | 25.7074i | 0.948944 | − | 2.50878i | ||||
\(106\) | −3.39196 | − | 7.95614i | −0.329456 | − | 0.772769i | ||||
\(107\) | 12.6150 | + | 12.6150i | 1.21954 | + | 1.21954i | 0.967793 | + | 0.251747i | \(0.0810049\pi\) |
0.251747 | + | 0.967793i | \(0.418995\pi\) | |||||||
\(108\) | −10.3894 | + | 14.9374i | −0.999725 | + | 1.43736i | ||||
\(109\) | 4.38838 | + | 2.23599i | 0.420330 | + | 0.214169i | 0.651346 | − | 0.758781i | \(-0.274205\pi\) |
−0.231015 | + | 0.972950i | \(0.574205\pi\) | |||||||
\(110\) | −5.10290 | + | 1.02624i | −0.486542 | + | 0.0978482i | ||||
\(111\) | 5.60016 | − | 17.2355i | 0.531543 | − | 1.63592i | ||||
\(112\) | −13.6233 | − | 9.06484i | −1.28728 | − | 0.856547i | ||||
\(113\) | −1.71710 | − | 5.28469i | −0.161531 | − | 0.497142i | 0.837233 | − | 0.546847i | \(-0.184172\pi\) |
−0.998764 | + | 0.0497048i | \(0.984172\pi\) | |||||||
\(114\) | −4.21841 | − | 16.8065i | −0.395090 | − | 1.57407i | ||||
\(115\) | 9.06513 | + | 9.96911i | 0.845328 | + | 0.929624i | ||||
\(116\) | −11.2570 | + | 8.53843i | −1.04519 | + | 0.792773i | ||||
\(117\) | 7.48785 | + | 1.18596i | 0.692252 | + | 0.109642i | ||||
\(118\) | 0.821063 | − | 3.58211i | 0.0755849 | − | 0.329760i | ||||
\(119\) | −2.13779 | − | 2.94242i | −0.195971 | − | 0.269731i | ||||
\(120\) | −17.6745 | + | 6.98045i | −1.61345 | + | 0.637225i | ||||
\(121\) | −4.87317 | + | 6.70734i | −0.443015 | + | 0.609758i | ||||
\(122\) | 0.641613 | + | 0.735751i | 0.0580889 | + | 0.0666117i | ||||
\(123\) | −33.6350 | + | 17.1379i | −3.03277 | + | 1.54527i | ||||
\(124\) | −8.66022 | + | 17.8988i | −0.777710 | + | 1.60736i | ||||
\(125\) | −0.164451 | − | 11.1791i | −0.0147089 | − | 0.999892i | ||||
\(126\) | 18.5266 | + | 29.5453i | 1.65048 | + | 2.63210i | ||||
\(127\) | −3.74652 | + | 11.5306i | −0.332449 | + | 1.02317i | 0.635515 | + | 0.772088i | \(0.280788\pi\) |
−0.967965 | + | 0.251086i | \(0.919212\pi\) | |||||||
\(128\) | 1.69781 | + | 11.1856i | 0.150067 | + | 0.988676i | ||||
\(129\) | −4.65864 | − | 3.38470i | −0.410171 | − | 0.298007i | ||||
\(130\) | 2.92622 | + | 2.69353i | 0.256647 | + | 0.236238i | ||||
\(131\) | 1.23539 | − | 7.79997i | 0.107937 | − | 0.681487i | −0.873082 | − | 0.487574i | \(-0.837882\pi\) |
0.981019 | − | 0.193913i | \(-0.0621179\pi\) | |||||||
\(132\) | 4.30803 | − | 8.90374i | 0.374966 | − | 0.774971i | ||||
\(133\) | −16.4768 | − | 2.60967i | −1.42872 | − | 0.226287i | ||||
\(134\) | 0.393152 | + | 4.41378i | 0.0339631 | + | 0.381292i | ||||
\(135\) | 20.3200 | + | 0.965047i | 1.74887 | + | 0.0830580i | ||||
\(136\) | −0.511211 | + | 2.46213i | −0.0438360 | + | 0.211126i | ||||
\(137\) | −10.3101 | + | 3.34995i | −0.880850 | + | 0.286205i | −0.714310 | − | 0.699829i | \(-0.753259\pi\) |
−0.166540 | + | 0.986035i | \(0.553259\pi\) | |||||||
\(138\) | −25.5045 | + | 2.27178i | −2.17108 | + | 0.193387i | ||||
\(139\) | 1.32419 | − | 0.674707i | 0.112316 | − | 0.0572279i | −0.396930 | − | 0.917849i | \(-0.629924\pi\) |
0.509246 | + | 0.860621i | \(0.329924\pi\) | |||||||
\(140\) | −0.491304 | + | 18.2884i | −0.0415228 | + | 1.54565i | ||||
\(141\) | −18.4351 | − | 9.39317i | −1.55252 | − | 0.791047i | ||||
\(142\) | 7.21634 | − | 17.9423i | 0.605582 | − | 1.50568i | ||||
\(143\) | −2.07014 | −0.173114 | ||||||||
\(144\) | 6.50007 | − | 23.2188i | 0.541673 | − | 1.93490i | ||||
\(145\) | 14.7750 | + | 5.58861i | 1.22699 | + | 0.464109i | ||||
\(146\) | 0.719324 | + | 0.0491633i | 0.0595317 | + | 0.00406878i | ||||
\(147\) | 28.8910 | − | 4.57588i | 2.38289 | − | 0.377412i | ||||
\(148\) | 0.248467 | + | 12.0604i | 0.0204239 | + | 0.991362i | ||||
\(149\) | −6.21423 | − | 6.21423i | −0.509090 | − | 0.509090i | 0.405157 | − | 0.914247i | \(-0.367217\pi\) |
−0.914247 | + | 0.405157i | \(0.867217\pi\) | |||||||
\(150\) | 17.1122 | + | 12.5923i | 1.39721 | + | 1.02815i | ||||
\(151\) | 13.8133i | 1.12411i | 0.827099 | + | 0.562056i | \(0.189989\pi\) | ||||
−0.827099 | + | 0.562056i | \(0.810011\pi\) | |||||||
\(152\) | 6.32745 | + | 9.64350i | 0.513224 | + | 0.782191i | ||||
\(153\) | 3.15001 | − | 4.33562i | 0.254663 | − | 0.350514i | ||||
\(154\) | −6.25872 | − | 7.17700i | −0.504342 | − | 0.578339i | ||||
\(155\) | 22.0973 | − | 2.43212i | 1.77490 | − | 0.195353i | ||||
\(156\) | −7.43883 | + | 1.33581i | −0.595583 | + | 0.106950i | ||||
\(157\) | −14.0619 | + | 14.0619i | −1.12226 | + | 1.12226i | −0.130859 | + | 0.991401i | \(0.541774\pi\) |
−0.991401 | + | 0.130859i | \(0.958226\pi\) | |||||||
\(158\) | −1.02615 | − | 0.412716i | −0.0816363 | − | 0.0328339i | ||||
\(159\) | −5.67841 | − | 17.4764i | −0.450327 | − | 1.38597i | ||||
\(160\) | 9.58519 | − | 8.25374i | 0.757776 | − | 0.652515i | ||||
\(161\) | −7.61770 | + | 23.4449i | −0.600359 | + | 1.84772i | ||||
\(162\) | −8.39423 | + | 10.0359i | −0.659513 | + | 0.788492i | ||||
\(163\) | 17.0658 | + | 8.69548i | 1.33670 | + | 0.681083i | 0.968581 | − | 0.248696i | \(-0.0800021\pi\) |
0.368118 | + | 0.929779i | \(0.380002\pi\) | |||||||
\(164\) | 17.3981 | − | 18.1300i | 1.35856 | − | 1.41572i | ||||
\(165\) | −10.9923 | + | 1.20986i | −0.855750 | + | 0.0941874i | ||||
\(166\) | 0.430704 | + | 4.83537i | 0.0334291 | + | 0.375297i | ||||
\(167\) | −9.72487 | − | 13.3851i | −0.752533 | − | 1.03577i | −0.997799 | − | 0.0663170i | \(-0.978875\pi\) |
0.245266 | − | 0.969456i | \(-0.421125\pi\) | |||||||
\(168\) | −27.1212 | − | 21.7512i | −2.09244 | − | 1.67814i | ||||
\(169\) | −6.71146 | − | 9.23753i | −0.516266 | − | 0.710579i | ||||
\(170\) | 2.63562 | − | 0.978661i | 0.202143 | − | 0.0750599i | ||||
\(171\) | −3.84531 | − | 24.2783i | −0.294058 | − | 1.85661i | ||||
\(172\) | 3.66903 | + | 1.10913i | 0.279761 | + | 0.0845701i | ||||
\(173\) | −5.00185 | − | 9.81669i | −0.380284 | − | 0.746349i | 0.618952 | − | 0.785429i | \(-0.287557\pi\) |
−0.999236 | + | 0.0390797i | \(0.987557\pi\) | |||||||
\(174\) | −25.4319 | + | 15.9473i | −1.92799 | + | 1.20896i | ||||
\(175\) | 17.6129 | − | 10.4004i | 1.33141 | − | 0.786198i | ||||
\(176\) | −0.761253 | + | 6.53979i | −0.0573816 | + | 0.492955i | ||||
\(177\) | 2.41278 | − | 7.42577i | 0.181356 | − | 0.558155i | ||||
\(178\) | 8.04165 | + | 0.549619i | 0.602747 | + | 0.0411957i | ||||
\(179\) | −15.6009 | + | 2.47094i | −1.16607 | + | 0.184687i | −0.709304 | − | 0.704903i | \(-0.750991\pi\) |
−0.456762 | + | 0.889589i | \(0.650991\pi\) | |||||||
\(180\) | −25.8525 | + | 7.63880i | −1.92693 | + | 0.569362i | ||||
\(181\) | −9.24117 | − | 1.46366i | −0.686891 | − | 0.108793i | −0.196773 | − | 0.980449i | \(-0.563046\pi\) |
−0.490118 | + | 0.871656i | \(0.663046\pi\) | |||||||
\(182\) | −1.62564 | + | 7.09230i | −0.120500 | + | 0.525716i | ||||
\(183\) | 1.21911 | + | 1.67796i | 0.0901190 | + | 0.124038i | ||||
\(184\) | 15.5375 | − | 7.00578i | 1.14544 | − | 0.516473i | ||||
\(185\) | 11.2749 | − | 7.40083i | 0.828945 | − | 0.544120i | ||||
\(186\) | −21.7009 | + | 36.2453i | −1.59118 | + | 2.65763i | ||||
\(187\) | −0.664360 | + | 1.30388i | −0.0485828 | + | 0.0953491i | ||||
\(188\) | 13.6441 | + | 1.87381i | 0.995099 | + | 0.136661i | ||||
\(189\) | 16.8963 | + | 33.1609i | 1.22903 | + | 2.41210i | ||||
\(190\) | 5.37405 | − | 11.7223i | 0.389874 | − | 0.850423i | ||||
\(191\) | 1.74414 | + | 5.36792i | 0.126202 | + | 0.388409i | 0.994118 | − | 0.108301i | \(-0.0345411\pi\) |
−0.867916 | + | 0.496710i | \(0.834541\pi\) | |||||||
\(192\) | 1.48447 | + | 23.9912i | 0.107132 | + | 1.73142i | ||||
\(193\) | −1.91961 | −0.138176 | −0.0690881 | − | 0.997611i | \(-0.522009\pi\) | ||||
−0.0690881 | + | 0.997611i | \(0.522009\pi\) | |||||||
\(194\) | −6.16424 | − | 2.47924i | −0.442567 | − | 0.177999i | ||||
\(195\) | 5.68481 | + | 6.25170i | 0.407097 | + | 0.447693i | ||||
\(196\) | −17.1627 | + | 9.19493i | −1.22591 | + | 0.656781i | ||||
\(197\) | −3.91917 | − | 24.7447i | −0.279229 | − | 1.76298i | −0.585148 | − | 0.810926i | \(-0.698964\pi\) |
0.305919 | − | 0.952058i | \(-0.401036\pi\) | |||||||
\(198\) | 7.20784 | − | 12.0387i | 0.512239 | − | 0.855554i | ||||
\(199\) | − | 2.81161i | − | 0.199310i | −0.995022 | − | 0.0996548i | \(-0.968226\pi\) | ||
0.995022 | − | 0.0996548i | \(-0.0317739\pi\) | |||||||
\(200\) | −13.5120 | − | 4.17435i | −0.955444 | − | 0.295171i | ||||
\(201\) | 9.41465i | 0.664058i | ||||||||
\(202\) | −3.78818 | − | 2.26807i | −0.266536 | − | 0.159581i | ||||
\(203\) | 4.52092 | + | 28.5440i | 0.317307 | + | 2.00340i | ||||
\(204\) | −1.54595 | + | 5.11404i | −0.108238 | + | 0.358055i | ||||
\(205\) | −27.5078 | − | 5.70613i | −1.92123 | − | 0.398534i | ||||
\(206\) | −4.18865 | + | 10.4144i | −0.291837 | + | 0.725606i | ||||
\(207\) | −36.3235 | −2.52466 | ||||||||
\(208\) | 4.38457 | − | 2.46660i | 0.304016 | − | 0.171028i | ||||
\(209\) | 2.07417 | + | 6.38364i | 0.143473 | + | 0.441566i | ||||
\(210\) | −4.48707 | + | 38.6097i | −0.309637 | + | 2.66432i | ||||
\(211\) | −5.84538 | − | 11.4722i | −0.402413 | − | 0.789779i | 0.597514 | − | 0.801858i | \(-0.296155\pi\) |
−0.999927 | + | 0.0120789i | \(0.996155\pi\) | |||||||
\(212\) | 7.39183 | + | 9.74536i | 0.507673 | + | 0.669314i | ||||
\(213\) | 18.6535 | − | 36.6095i | 1.27812 | − | 2.50844i | ||||
\(214\) | −21.6468 | − | 12.9604i | −1.47974 | − | 0.885955i | ||||
\(215\) | −1.12943 | − | 4.13392i | −0.0770267 | − | 0.281931i | ||||
\(216\) | 9.10807 | − | 24.0661i | 0.619726 | − | 1.63749i | ||||
\(217\) | 23.9059 | + | 32.9036i | 1.62284 | + | 2.23364i | ||||
\(218\) | −6.78921 | − | 1.55617i | −0.459823 | − | 0.105397i | ||||
\(219\) | 1.51298 | + | 0.239633i | 0.102238 | + | 0.0161929i | ||||
\(220\) | 6.64614 | − | 3.16452i | 0.448083 | − | 0.213352i | ||||
\(221\) | 1.10439 | − | 0.174919i | 0.0742896 | − | 0.0117663i | ||||
\(222\) | −1.74758 | + | 25.5694i | −0.117290 | + | 1.71611i | ||||
\(223\) | −0.922924 | + | 2.84047i | −0.0618036 | + | 0.190212i | −0.977191 | − | 0.212362i | \(-0.931884\pi\) |
0.915387 | + | 0.402574i | \(0.131884\pi\) | |||||||
\(224\) | 21.8075 | + | 7.74361i | 1.45707 | + | 0.517392i | ||||
\(225\) | 22.5946 | + | 19.9465i | 1.50630 | + | 1.32977i | ||||
\(226\) | 4.17474 | + | 6.65765i | 0.277699 | + | 0.442860i | ||||
\(227\) | −2.86977 | − | 5.63224i | −0.190473 | − | 0.373825i | 0.775944 | − | 0.630801i | \(-0.217274\pi\) |
−0.966418 | + | 0.256976i | \(0.917274\pi\) | |||||||
\(228\) | 11.5725 | + | 21.6005i | 0.766408 | + | 1.43053i | ||||
\(229\) | −3.10595 | − | 19.6102i | −0.205247 | − | 1.29588i | −0.848079 | − | 0.529870i | \(-0.822241\pi\) |
0.642832 | − | 0.766007i | \(-0.277759\pi\) | |||||||
\(230\) | −15.8666 | − | 10.5533i | −1.04621 | − | 0.695863i | ||||
\(231\) | −11.8920 | − | 16.3679i | −0.782435 | − | 1.07693i | ||||
\(232\) | 12.5012 | − | 15.5875i | 0.820745 | − | 1.02337i | ||||
\(233\) | 4.77010 | + | 6.56548i | 0.312500 | + | 0.430119i | 0.936159 | − | 0.351577i | \(-0.114355\pi\) |
−0.623659 | + | 0.781697i | \(0.714355\pi\) | |||||||
\(234\) | −10.6791 | + | 0.951231i | −0.698117 | + | 0.0621839i | ||||
\(235\) | −6.33173 | − | 14.0357i | −0.413037 | − | 0.915587i | ||||
\(236\) | 0.107050 | + | 5.19614i | 0.00696835 | + | 0.338240i | ||||
\(237\) | −2.09377 | − | 1.06683i | −0.136005 | − | 0.0692980i | ||||
\(238\) | 3.94538 | + | 3.30000i | 0.255741 | + | 0.213907i | ||||
\(239\) | −0.508630 | + | 1.56540i | −0.0329006 | + | 0.101258i | −0.966158 | − | 0.257950i | \(-0.916953\pi\) |
0.933258 | + | 0.359208i | \(0.116953\pi\) | |||||||
\(240\) | 21.8402 | − | 15.6599i | 1.40978 | − | 1.01084i | ||||
\(241\) | −2.08108 | − | 6.40490i | −0.134054 | − | 0.412576i | 0.861388 | − | 0.507948i | \(-0.169596\pi\) |
−0.995442 | + | 0.0953722i | \(0.969596\pi\) | |||||||
\(242\) | 4.37511 | − | 10.8780i | 0.281243 | − | 0.699264i | ||||
\(243\) | −0.356820 | + | 0.356820i | −0.0228900 | + | 0.0228900i | ||||
\(244\) | −1.13339 | − | 0.788305i | −0.0725577 | − | 0.0504661i | ||||
\(245\) | 18.9055 | + | 10.7918i | 1.20783 | + | 0.689465i | ||||
\(246\) | 40.2357 | − | 35.0876i | 2.56533 | − | 2.23710i | ||||
\(247\) | 3.01459 | − | 4.14923i | 0.191814 | − | 0.264009i | ||||
\(248\) | 5.71661 | − | 27.5327i | 0.363005 | − | 1.74833i | ||||
\(249\) | 10.3139i | 0.653617i | ||||||||
\(250\) | 4.07440 | + | 15.2774i | 0.257688 | + | 0.966228i | ||||
\(251\) | 1.96932 | + | 1.96932i | 0.124303 | + | 0.124303i | 0.766521 | − | 0.642219i | \(-0.221986\pi\) |
−0.642219 | + | 0.766521i | \(0.721986\pi\) | |||||||
\(252\) | −35.5844 | − | 34.1478i | −2.24160 | − | 2.15111i | ||||
\(253\) | 9.79650 | − | 1.55161i | 0.615901 | − | 0.0975491i | ||||
\(254\) | 1.16913 | − | 17.1060i | 0.0733580 | − | 1.07333i | ||||
\(255\) | 5.76203 | − | 1.57425i | 0.360832 | − | 0.0985835i | ||||
\(256\) | −6.17989 | − | 14.7584i | −0.386243 | − | 0.922397i | ||||
\(257\) | −13.0841 | −0.816162 | −0.408081 | − | 0.912946i | \(-0.633802\pi\) | ||||
−0.408081 | + | 0.912946i | \(0.633802\pi\) | |||||||
\(258\) | 7.55541 | + | 3.03877i | 0.470379 | + | 0.189186i | ||||
\(259\) | 21.9848 | + | 11.2018i | 1.36607 | + | 0.696048i | ||||
\(260\) | −4.94114 | − | 2.68716i | −0.306437 | − | 0.166651i | ||||
\(261\) | −37.9422 | + | 19.3325i | −2.34856 | + | 1.19665i | ||||
\(262\) | 0.990881 | + | 11.1243i | 0.0612168 | + | 0.687260i | ||||
\(263\) | −20.1253 | + | 6.53911i | −1.24098 | + | 0.403219i | −0.854680 | − | 0.519155i | \(-0.826247\pi\) |
−0.386300 | + | 0.922373i | \(0.626247\pi\) | |||||||
\(264\) | −2.84373 | + | 13.6962i | −0.175020 | + | 0.842940i | ||||
\(265\) | 4.83814 | − | 12.7909i | 0.297204 | − | 0.785737i | ||||
\(266\) | 23.4991 | − | 2.09315i | 1.44082 | − | 0.128340i | ||||
\(267\) | 16.9143 | + | 2.67897i | 1.03514 | + | 0.163950i | ||||
\(268\) | −2.05888 | − | 5.91887i | −0.125766 | − | 0.361553i | ||||
\(269\) | −2.48855 | + | 15.7121i | −0.151730 | + | 0.957983i | 0.787903 | + | 0.615799i | \(0.211167\pi\) |
−0.939633 | + | 0.342184i | \(0.888833\pi\) | |||||||
\(270\) | −28.2045 | + | 5.67220i | −1.71647 | + | 0.345199i | ||||
\(271\) | 21.9193 | + | 15.9253i | 1.33151 | + | 0.967395i | 0.999711 | + | 0.0240439i | \(0.00765415\pi\) |
0.331795 | + | 0.943352i | \(0.392346\pi\) | |||||||
\(272\) | −0.146468 | − | 3.55322i | −0.00888090 | − | 0.215445i | ||||
\(273\) | −4.77711 | + | 14.7024i | −0.289124 | + | 0.889832i | ||||
\(274\) | 12.9886 | − | 8.14464i | 0.784672 | − | 0.492035i | ||||
\(275\) | −6.94582 | − | 4.41444i | −0.418849 | − | 0.266201i | ||||
\(276\) | 34.2015 | − | 11.8970i | 2.05869 | − | 0.716114i | ||||
\(277\) | −9.90984 | + | 5.04932i | −0.595425 | + | 0.303384i | −0.725611 | − | 0.688106i | \(-0.758443\pi\) |
0.130186 | + | 0.991490i | \(0.458443\pi\) | |||||||
\(278\) | −1.58405 | + | 1.38137i | −0.0950049 | + | 0.0828492i | ||||
\(279\) | −35.2250 | + | 48.4830i | −2.10887 | + | 2.90260i | ||||
\(280\) | −5.62255 | − | 25.2547i | −0.336011 | − | 1.50926i | ||||
\(281\) | 7.24408 | + | 9.97062i | 0.432145 | + | 0.594797i | 0.968444 | − | 0.249231i | \(-0.0801779\pi\) |
−0.536299 | + | 0.844028i | \(0.680178\pi\) | |||||||
\(282\) | 28.5208 | + | 6.53731i | 1.69839 | + | 0.389291i | ||||
\(283\) | −21.7077 | − | 3.43816i | −1.29039 | − | 0.204377i | −0.526749 | − | 0.850021i | \(-0.676589\pi\) |
−0.763639 | + | 0.645643i | \(0.776589\pi\) | |||||||
\(284\) | −3.72112 | + | 27.0953i | −0.220808 | + | 1.60781i | ||||
\(285\) | 13.5823 | − | 23.7939i | 0.804547 | − | 1.40943i | ||||
\(286\) | 2.83954 | − | 0.712723i | 0.167906 | − | 0.0421442i | ||||
\(287\) | −15.8825 | − | 48.8812i | −0.937512 | − | 2.88537i | ||||
\(288\) | −0.922006 | + | 34.0863i | −0.0543297 | + | 2.00855i | ||||
\(289\) | −5.00903 | + | 15.4162i | −0.294649 | + | 0.906837i | ||||
\(290\) | −22.1904 | − | 2.57888i | −1.30306 | − | 0.151437i | ||||
\(291\) | −12.5776 | − | 6.40859i | −0.737310 | − | 0.375678i | ||||
\(292\) | −1.00360 | + | 0.180218i | −0.0587312 | + | 0.0105465i | ||||
\(293\) | 21.9915 | + | 21.9915i | 1.28476 | + | 1.28476i | 0.937929 | + | 0.346827i | \(0.112741\pi\) |
0.346827 | + | 0.937929i | \(0.387259\pi\) | |||||||
\(294\) | −38.0533 | + | 16.2234i | −2.21931 | + | 0.946165i | ||||
\(295\) | 4.85768 | − | 3.18858i | 0.282825 | − | 0.185647i | ||||
\(296\) | −4.49307 | − | 16.4573i | −0.261154 | − | 0.956564i | ||||
\(297\) | 8.80184 | − | 12.1147i | 0.510734 | − | 0.702966i | ||||
\(298\) | 10.6633 | + | 6.38437i | 0.617710 | + | 0.369837i | ||||
\(299\) | −5.35900 | − | 5.35900i | −0.309919 | − | 0.309919i | ||||
\(300\) | −27.8076 | − | 11.3809i | −1.60547 | − | 0.657075i | ||||
\(301\) | 5.54385 | − | 5.54385i | 0.319542 | − | 0.319542i | ||||
\(302\) | −4.75575 | − | 18.9473i | −0.273662 | − | 1.09029i | ||||
\(303\) | −7.58911 | − | 5.51381i | −0.435983 | − | 0.316760i | ||||
\(304\) | −11.9993 | − | 11.0492i | −0.688206 | − | 0.633715i | ||||
\(305\) | −0.0732235 | + | 1.54179i | −0.00419276 | + | 0.0882829i | ||||
\(306\) | −2.82807 | + | 7.03153i | −0.161670 | + | 0.401966i | ||||
\(307\) | 1.62340 | − | 1.62340i | 0.0926523 | − | 0.0926523i | −0.659261 | − | 0.751914i | \(-0.729131\pi\) |
0.751914 | + | 0.659261i | \(0.229131\pi\) | |||||||
\(308\) | 11.0558 | + | 7.68965i | 0.629964 | + | 0.438159i | ||||
\(309\) | −10.8272 | + | 21.2497i | −0.615940 | + | 1.20885i | ||||
\(310\) | −29.4728 | + | 10.9439i | −1.67394 | + | 0.621570i | ||||
\(311\) | 17.7505 | + | 5.76749i | 1.00654 | + | 0.327044i | 0.765476 | − | 0.643465i | \(-0.222504\pi\) |
0.241063 | + | 0.970509i | \(0.422504\pi\) | |||||||
\(312\) | 9.74369 | − | 4.39337i | 0.551628 | − | 0.248726i | ||||
\(313\) | −15.0648 | + | 4.89484i | −0.851511 | + | 0.276673i | −0.702079 | − | 0.712099i | \(-0.747745\pi\) |
−0.149432 | + | 0.988772i | \(0.547745\pi\) | |||||||
\(314\) | 14.4469 | − | 24.1295i | 0.815284 | − | 1.36171i | ||||
\(315\) | −11.1996 | + | 53.9904i | −0.631027 | + | 3.04202i | ||||
\(316\) | 1.54963 | + | 0.212818i | 0.0871736 | + | 0.0119719i | ||||
\(317\) | 3.56301 | − | 22.4960i | 0.200119 | − | 1.26350i | −0.659165 | − | 0.751999i | \(-0.729090\pi\) |
0.859283 | − | 0.511500i | \(-0.170910\pi\) | |||||||
\(318\) | 13.8058 | + | 22.0167i | 0.774189 | + | 1.23464i | ||||
\(319\) | 9.40723 | − | 6.83475i | 0.526704 | − | 0.382673i | ||||
\(320\) | −10.3060 | + | 14.6214i | −0.576124 | + | 0.817362i | ||||
\(321\) | −43.3664 | − | 31.5075i | −2.42047 | − | 1.75858i | ||||
\(322\) | 2.37717 | − | 34.7812i | 0.132475 | − | 1.93828i | ||||
\(323\) | −1.64594 | − | 3.23033i | −0.0915824 | − | 0.179740i | ||||
\(324\) | 8.05886 | − | 16.6559i | 0.447714 | − | 0.925326i | ||||
\(325\) | 0.390677 | + | 6.27631i | 0.0216709 | + | 0.348147i | ||||
\(326\) | −26.4024 | − | 6.05174i | −1.46229 | − | 0.335175i | ||||
\(327\) | −14.0741 | − | 4.57297i | −0.778302 | − | 0.252886i | ||||
\(328\) | −17.6224 | + | 30.8582i | −0.973034 | + | 1.70386i | ||||
\(329\) | 16.5580 | − | 22.7902i | 0.912873 | − | 1.25646i | ||||
\(330\) | 14.6612 | − | 5.44403i | 0.807074 | − | 0.299684i | ||||
\(331\) | 14.8941 | + | 2.35899i | 0.818653 | + | 0.129662i | 0.551695 | − | 0.834046i | \(-0.313981\pi\) |
0.266958 | + | 0.963708i | \(0.413981\pi\) | |||||||
\(332\) | −2.25554 | − | 6.48422i | −0.123789 | − | 0.355868i | ||||
\(333\) | −5.68750 | + | 35.9094i | −0.311673 | + | 1.96782i | ||||
\(334\) | 17.9476 | + | 15.0118i | 0.982049 | + | 0.821408i | ||||
\(335\) | −4.38254 | + | 5.46657i | −0.239444 | + | 0.298671i | ||||
\(336\) | 44.6898 | + | 20.4979i | 2.43803 | + | 1.11825i | ||||
\(337\) | 1.70316 | + | 5.24178i | 0.0927768 | + | 0.285538i | 0.986668 | − | 0.162746i | \(-0.0520353\pi\) |
−0.893891 | + | 0.448284i | \(0.852035\pi\) | |||||||
\(338\) | 12.3862 | + | 10.3601i | 0.673722 | + | 0.563517i | ||||
\(339\) | 7.57971 | + | 14.8760i | 0.411673 | + | 0.807954i | ||||
\(340\) | −3.27824 | + | 2.24980i | −0.177788 | + | 0.122013i | ||||
\(341\) | 7.42920 | − | 14.5806i | 0.402314 | − | 0.789585i | ||||
\(342\) | 13.6332 | + | 31.9779i | 0.737199 | + | 1.72917i | ||||
\(343\) | 11.1898i | 0.604193i | ||||||||
\(344\) | −5.41454 | − | 0.258152i | −0.291932 | − | 0.0139186i | ||||
\(345\) | −31.5879 | − | 25.3239i | −1.70063 | − | 1.36339i | ||||
\(346\) | 10.2406 | + | 11.7431i | 0.550539 | + | 0.631315i | ||||
\(347\) | −2.81855 | − | 17.7956i | −0.151308 | − | 0.955318i | −0.940159 | − | 0.340735i | \(-0.889324\pi\) |
0.788852 | − | 0.614583i | \(-0.210676\pi\) | |||||||
\(348\) | 29.3936 | − | 30.6302i | 1.57566 | − | 1.64195i | ||||
\(349\) | 4.48855 | − | 4.48855i | 0.240266 | − | 0.240266i | −0.576694 | − | 0.816960i | \(-0.695657\pi\) |
0.816960 | + | 0.576694i | \(0.195657\pi\) | |||||||
\(350\) | −20.5783 | + | 20.3298i | −1.09995 | + | 1.08667i | ||||
\(351\) | −11.4420 | −0.610730 | ||||||||
\(352\) | −1.20738 | − | 9.23249i | −0.0643535 | − | 0.492093i | ||||
\(353\) | −12.6421 | − | 9.18499i | −0.672869 | − | 0.488868i | 0.198115 | − | 0.980179i | \(-0.436518\pi\) |
−0.870984 | + | 0.491311i | \(0.836518\pi\) | |||||||
\(354\) | −0.752929 | + | 11.0164i | −0.0400178 | + | 0.585513i | ||||
\(355\) | 27.8729 | − | 12.5739i | 1.47934 | − | 0.667354i | ||||
\(356\) | −11.2197 | + | 2.01474i | −0.594642 | + | 0.106781i | ||||
\(357\) | 7.72725 | + | 7.72725i | 0.408969 | + | 0.408969i | ||||
\(358\) | 20.5485 | − | 8.76049i | 1.08602 | − | 0.463006i | ||||
\(359\) | 21.8634 | − | 7.10386i | 1.15391 | − | 0.374928i | 0.331294 | − | 0.943527i | \(-0.392515\pi\) |
0.822614 | + | 0.568600i | \(0.192515\pi\) | |||||||
\(360\) | 32.8310 | − | 19.3785i | 1.73035 | − | 1.02134i | ||||
\(361\) | 2.25475 | + | 0.732613i | 0.118671 | + | 0.0385586i | ||||
\(362\) | 13.1797 | − | 1.17397i | 0.692710 | − | 0.0617023i | ||||
\(363\) | 11.3092 | − | 22.1956i | 0.593579 | − | 1.16496i | ||||
\(364\) | −0.211950 | − | 10.2879i | −0.0111092 | − | 0.539235i | ||||
\(365\) | 0.766957 | + | 0.843438i | 0.0401443 | + | 0.0441476i | ||||
\(366\) | −2.24991 | − | 1.88187i | −0.117604 | − | 0.0983670i | ||||
\(367\) | −9.63679 | + | 7.00153i | −0.503036 | + | 0.365477i | −0.810175 | − | 0.586187i | \(-0.800628\pi\) |
0.307139 | + | 0.951665i | \(0.400628\pi\) | |||||||
\(368\) | −18.9003 | + | 14.9590i | −0.985246 | + | 0.779790i | ||||
\(369\) | 61.2688 | − | 44.5144i | 3.18953 | − | 2.31733i | ||||
\(370\) | −12.9173 | + | 14.0333i | −0.671540 | + | 0.729554i | ||||
\(371\) | 24.7109 | − | 3.91383i | 1.28293 | − | 0.203196i | ||||
\(372\) | 17.2875 | − | 57.1878i | 0.896317 | − | 2.96505i | ||||
\(373\) | 7.10665 | − | 3.62102i | 0.367968 | − | 0.187489i | −0.260222 | − | 0.965549i | \(-0.583796\pi\) |
0.628191 | + | 0.778060i | \(0.283796\pi\) | |||||||
\(374\) | 0.462371 | − | 2.01722i | 0.0239086 | − | 0.104308i | ||||
\(375\) | 5.74255 | + | 33.0984i | 0.296544 | + | 1.70920i | ||||
\(376\) | −19.3603 | + | 2.12725i | −0.998431 | + | 0.109705i | ||||
\(377\) | −8.45003 | − | 2.74558i | −0.435199 | − | 0.141405i | ||||
\(378\) | −34.5930 | − | 39.6685i | −1.77927 | − | 2.04033i | ||||
\(379\) | 3.62864 | + | 22.9104i | 0.186391 | + | 1.17683i | 0.886479 | + | 0.462769i | \(0.153144\pi\) |
−0.700088 | + | 0.714057i | \(0.746856\pi\) | |||||||
\(380\) | −3.33557 | + | 17.9293i | −0.171111 | + | 0.919752i | ||||
\(381\) | 5.69862 | − | 35.9797i | 0.291949 | − | 1.84330i | ||||
\(382\) | −4.24049 | − | 6.76251i | −0.216962 | − | 0.346000i | ||||
\(383\) | 21.6248 | − | 15.7113i | 1.10497 | − | 0.802810i | 0.123109 | − | 0.992393i | \(-0.460714\pi\) |
0.981865 | + | 0.189583i | \(0.0607135\pi\) | |||||||
\(384\) | −10.2961 | − | 32.3969i | −0.525419 | − | 1.65325i | ||||
\(385\) | 0.714271 | − | 15.0397i | 0.0364026 | − | 0.766493i | ||||
\(386\) | 2.63306 | − | 0.660895i | 0.134019 | − | 0.0336387i | ||||
\(387\) | 10.2933 | + | 5.24469i | 0.523237 | + | 0.266602i | ||||
\(388\) | 9.30885 | + | 1.27843i | 0.472585 | + | 0.0649022i | ||||
\(389\) | −6.25384 | + | 3.18649i | −0.317082 | + | 0.161562i | −0.605287 | − | 0.796007i | \(-0.706942\pi\) |
0.288205 | + | 0.957569i | \(0.406942\pi\) | |||||||
\(390\) | −9.95003 | − | 6.61804i | −0.503839 | − | 0.335117i | ||||
\(391\) | −5.09520 | + | 1.65553i | −0.257676 | + | 0.0837239i | ||||
\(392\) | 20.3758 | − | 18.5213i | 1.02913 | − | 0.935465i | ||||
\(393\) | 23.7282i | 1.19693i | ||||||||
\(394\) | 13.8951 | + | 32.5921i | 0.700023 | + | 1.64197i | ||||
\(395\) | −0.719127 | − | 1.59410i | −0.0361832 | − | 0.0802081i | ||||
\(396\) | −5.74197 | + | 18.9946i | −0.288545 | + | 0.954517i | ||||
\(397\) | −13.6062 | + | 2.15501i | −0.682874 | + | 0.108157i | −0.488227 | − | 0.872717i | \(-0.662356\pi\) |
−0.194647 | + | 0.980873i | \(0.562356\pi\) | |||||||
\(398\) | 0.968000 | + | 3.85659i | 0.0485215 | + | 0.193313i | ||||
\(399\) | 50.1239 | 2.50934 | ||||||||
\(400\) | 19.9712 | + | 1.07380i | 0.998558 | + | 0.0536899i | ||||
\(401\) | 24.8287 | 1.23989 | 0.619943 | − | 0.784647i | \(-0.287156\pi\) | ||||
0.619943 | + | 0.784647i | \(0.287156\pi\) | |||||||
\(402\) | −3.24134 | − | 12.9137i | −0.161663 | − | 0.644079i | ||||
\(403\) | −12.3499 | + | 1.95603i | −0.615192 | + | 0.0974368i | ||||
\(404\) | 5.97699 | + | 1.80681i | 0.297366 | + | 0.0898921i | ||||
\(405\) | −20.5629 | + | 2.26324i | −1.02178 | + | 0.112461i | ||||
\(406\) | −16.0285 | − | 37.5963i | −0.795482 | − | 1.86587i | ||||
\(407\) | − | 9.92777i | − | 0.492101i | ||||||
\(408\) | 0.359823 | − | 7.54701i | 0.0178139 | − | 0.373633i | ||||
\(409\) | 7.94465 | − | 2.58137i | 0.392837 | − | 0.127641i | −0.105936 | − | 0.994373i | \(-0.533784\pi\) |
0.498774 | + | 0.866732i | \(0.333784\pi\) | |||||||
\(410\) | 39.6960 | − | 1.64366i | 1.96045 | − | 0.0811745i | ||||
\(411\) | 29.0221 | − | 14.7875i | 1.43156 | − | 0.729414i | ||||
\(412\) | 2.15989 | − | 15.7272i | 0.106410 | − | 0.774823i | ||||
\(413\) | 9.47197 | + | 4.82621i | 0.466085 | + | 0.237482i | ||||
\(414\) | 49.8237 | − | 12.5057i | 2.44870 | − | 0.614623i | ||||
\(415\) | −4.80114 | + | 5.98872i | −0.235679 | + | 0.293975i | ||||
\(416\) | −5.16495 | + | 4.89290i | −0.253233 | + | 0.239894i | ||||
\(417\) | −3.61259 | + | 2.62470i | −0.176909 | + | 0.128532i | ||||
\(418\) | −5.04287 | − | 8.04211i | −0.246655 | − | 0.393352i | ||||
\(419\) | −1.54140 | + | 9.73200i | −0.0753022 | + | 0.475439i | 0.921003 | + | 0.389556i | \(0.127371\pi\) |
−0.996305 | + | 0.0858838i | \(0.972629\pi\) | |||||||
\(420\) | −7.13805 | − | 54.5044i | −0.348301 | − | 2.65954i | ||||
\(421\) | −3.12363 | − | 19.7218i | −0.152236 | − | 0.961183i | −0.938997 | − | 0.343925i | \(-0.888243\pi\) |
0.786761 | − | 0.617258i | \(-0.211757\pi\) | |||||||
\(422\) | 11.9676 | + | 13.7235i | 0.582576 | + | 0.668052i | ||||
\(423\) | 39.4768 | + | 12.8268i | 1.91943 | + | 0.623661i | ||||
\(424\) | −13.4943 | − | 10.8225i | −0.655342 | − | 0.525585i | ||||
\(425\) | 4.07851 | + | 1.76815i | 0.197837 | + | 0.0857681i | ||||
\(426\) | −12.9822 | + | 56.6382i | −0.628988 | + | 2.74413i | ||||
\(427\) | −2.51610 | + | 1.28202i | −0.121763 | + | 0.0620412i | ||||
\(428\) | 34.1542 | + | 10.3246i | 1.65091 | + | 0.499060i | ||||
\(429\) | 6.14345 | − | 0.973027i | 0.296609 | − | 0.0469782i | ||||
\(430\) | 2.97246 | + | 5.28151i | 0.143345 | + | 0.254697i | ||||
\(431\) | −15.9804 | + | 11.6104i | −0.769747 | + | 0.559254i | −0.901885 | − | 0.431977i | \(-0.857816\pi\) |
0.132137 | + | 0.991231i | \(0.457816\pi\) | |||||||
\(432\) | −4.20757 | + | 36.1465i | −0.202437 | + | 1.73910i | ||||
\(433\) | −23.2534 | + | 16.8946i | −1.11749 | + | 0.811902i | −0.983826 | − | 0.179126i | \(-0.942673\pi\) |
−0.133660 | + | 0.991027i | \(0.542673\pi\) | |||||||
\(434\) | −44.1191 | − | 36.9023i | −2.11779 | − | 1.77137i | ||||
\(435\) | −46.4737 | − | 9.64037i | −2.22824 | − | 0.462220i | ||||
\(436\) | 9.84829 | − | 0.202893i | 0.471648 | − | 0.00971680i | ||||
\(437\) | −11.1560 | + | 21.8948i | −0.533663 | + | 1.04737i | ||||
\(438\) | −2.15781 | + | 0.192204i | −0.103104 | + | 0.00918387i | ||||
\(439\) | −29.5368 | − | 9.59708i | −1.40971 | − | 0.458044i | −0.497395 | − | 0.867524i | \(-0.665710\pi\) |
−0.912319 | + | 0.409480i | \(0.865710\pi\) | |||||||
\(440\) | −8.02678 | + | 6.62884i | −0.382662 | + | 0.316018i | ||||
\(441\) | −55.8109 | + | 18.1341i | −2.65766 | + | 0.863527i | ||||
\(442\) | −1.45464 | + | 0.620159i | −0.0691901 | + | 0.0294980i | ||||
\(443\) | −1.54302 | − | 1.54302i | −0.0733111 | − | 0.0733111i | 0.669501 | − | 0.742812i | \(-0.266508\pi\) |
−0.742812 | + | 0.669501i | \(0.766508\pi\) | |||||||
\(444\) | −6.40612 | − | 35.6744i | −0.304021 | − | 1.69303i | ||||
\(445\) | 8.57416 | + | 9.42918i | 0.406454 | + | 0.446986i | ||||
\(446\) | 0.288007 | − | 4.21392i | 0.0136375 | − | 0.199535i | ||||
\(447\) | 21.3625 | + | 15.5208i | 1.01041 | + | 0.734108i | ||||
\(448\) | −32.5786 | − | 3.11361i | −1.53919 | − | 0.147104i | ||||
\(449\) | −23.0290 | −1.08681 | −0.543403 | − | 0.839472i | \(-0.682864\pi\) | ||||
−0.543403 | + | 0.839472i | \(0.682864\pi\) | |||||||
\(450\) | −37.8595 | − | 19.5810i | −1.78471 | − | 0.923055i | ||||
\(451\) | −14.6228 | + | 14.6228i | −0.688560 | + | 0.688560i | ||||
\(452\) | −8.01849 | − | 7.69477i | −0.377158 | − | 0.361931i | ||||
\(453\) | −6.49266 | − | 40.9931i | −0.305052 | − | 1.92602i | ||||
\(454\) | 5.87547 | + | 6.73753i | 0.275750 | + | 0.316208i | ||||
\(455\) | −9.61783 | + | 6.31315i | −0.450891 | + | 0.295965i | ||||
\(456\) | −23.3104 | − | 25.6444i | −1.09161 | − | 1.20091i | ||||
\(457\) | 0.0323799i | 0.00151467i | 1.00000 | 0.000757333i | \(0.000241067\pi\) | |||||
−1.00000 | 0.000757333i | \(0.999759\pi\) | ||||||||
\(458\) | 11.0119 | + | 25.8293i | 0.514550 | + | 1.20692i | ||||
\(459\) | −3.67203 | + | 7.20676i | −0.171395 | + | 0.336383i | ||||
\(460\) | 25.3970 | + | 9.01292i | 1.18414 | + | 0.420230i | ||||
\(461\) | 1.63852 | + | 3.21577i | 0.0763133 | + | 0.149773i | 0.926011 | − | 0.377498i | \(-0.123215\pi\) |
−0.849697 | + | 0.527271i | \(0.823215\pi\) | |||||||
\(462\) | 21.9471 | + | 18.3570i | 1.02107 | + | 0.854047i | ||||
\(463\) | 1.69557 | + | 5.21843i | 0.0787999 | + | 0.242521i | 0.982694 | − | 0.185234i | \(-0.0593044\pi\) |
−0.903894 | + | 0.427755i | \(0.859304\pi\) | |||||||
\(464\) | −11.7809 | + | 25.6849i | −0.546914 | + | 1.19239i | ||||
\(465\) | −64.4338 | + | 17.6041i | −2.98805 | + | 0.816369i | ||||
\(466\) | −8.80340 | − | 7.36336i | −0.407809 | − | 0.341101i | ||||
\(467\) | −3.18102 | + | 20.0842i | −0.147200 | + | 0.929385i | 0.797944 | + | 0.602731i | \(0.205921\pi\) |
−0.945144 | + | 0.326653i | \(0.894079\pi\) | |||||||
\(468\) | 14.3207 | − | 4.98146i | 0.661975 | − | 0.230268i | ||||
\(469\) | −12.6604 | − | 2.00521i | −0.584604 | − | 0.0925922i | ||||
\(470\) | 13.5173 | + | 17.0723i | 0.623508 | + | 0.787488i | ||||
\(471\) | 35.1212 | − | 48.3402i | 1.61830 | − | 2.22740i | ||||
\(472\) | −1.93580 | − | 7.09050i | −0.0891023 | − | 0.326367i | ||||
\(473\) | −3.00014 | − | 0.974806i | −0.137947 | − | 0.0448216i | ||||
\(474\) | 3.23925 | + | 0.742475i | 0.148784 | + | 0.0341030i | ||||
\(475\) | 18.9626 | − | 7.49324i | 0.870066 | − | 0.343814i | ||||
\(476\) | −6.54789 | − | 3.16816i | −0.300122 | − | 0.145212i | ||||
\(477\) | 16.7364 | + | 32.8470i | 0.766307 | + | 1.50396i | ||||
\(478\) | 0.158723 | − | 2.32232i | 0.00725981 | − | 0.106221i | ||||
\(479\) | 4.45138 | + | 3.23411i | 0.203389 | + | 0.147770i | 0.684817 | − | 0.728715i | \(-0.259882\pi\) |
−0.481429 | + | 0.876485i | \(0.659882\pi\) | |||||||
\(480\) | −24.5660 | + | 28.9995i | −1.12128 | + | 1.32364i | ||||
\(481\) | −6.13701 | + | 4.45880i | −0.279824 | + | 0.203304i | ||||
\(482\) | 5.05967 | + | 8.06890i | 0.230462 | + | 0.367528i | ||||
\(483\) | 11.5869 | − | 73.1567i | 0.527221 | − | 3.32874i | ||||
\(484\) | −2.25603 | + | 16.4273i | −0.102547 | + | 0.746694i | ||||
\(485\) | −4.31989 | − | 9.57600i | −0.196156 | − | 0.434824i | ||||
\(486\) | 0.366589 | − | 0.612286i | 0.0166288 | − | 0.0277739i | ||||
\(487\) | −5.76881 | + | 1.87440i | −0.261410 | + | 0.0849372i | −0.436790 | − | 0.899564i | \(-0.643885\pi\) |
0.175380 | + | 0.984501i | \(0.443885\pi\) | |||||||
\(488\) | 1.82603 | + | 0.691080i | 0.0826606 | + | 0.0312837i | ||||
\(489\) | −54.7325 | − | 17.7837i | −2.47509 | − | 0.804206i | ||||
\(490\) | −29.6475 | − | 8.29388i | −1.33934 | − | 0.374679i | ||||
\(491\) | 13.3362 | − | 26.1737i | 0.601854 | − | 1.18120i | −0.366218 | − | 0.930529i | \(-0.619347\pi\) |
0.968071 | − | 0.250675i | \(-0.0806525\pi\) | |||||||
\(492\) | −43.1097 | + | 61.9811i | −1.94353 | + | 2.79432i | ||||
\(493\) | −4.44113 | + | 4.44113i | −0.200018 | + | 0.200018i | ||||
\(494\) | −2.70649 | + | 6.72924i | −0.121771 | + | 0.302763i | ||||
\(495\) | 21.4014 | − | 5.84710i | 0.961921 | − | 0.262808i | ||||
\(496\) | 1.63787 | + | 39.7338i | 0.0735426 | + | 1.78410i | ||||
\(497\) | 45.2580 | + | 32.8819i | 2.03010 | + | 1.47495i | ||||
\(498\) | −3.55094 | − | 14.1472i | −0.159122 | − | 0.633953i | ||||
\(499\) | −29.8174 | + | 29.8174i | −1.33481 | + | 1.33481i | −0.433801 | + | 0.901009i | \(0.642828\pi\) |
−0.901009 | + | 0.433801i | \(0.857172\pi\) | |||||||
\(500\) | −10.8485 | − | 19.5527i | −0.485161 | − | 0.874425i | ||||
\(501\) | 35.1514 | + | 35.1514i | 1.57045 | + | 1.57045i | ||||
\(502\) | −3.37926 | − | 2.02324i | −0.150824 | − | 0.0903016i | ||||
\(503\) | −6.40313 | + | 8.81316i | −0.285502 | + | 0.392959i | −0.927547 | − | 0.373708i | \(-0.878086\pi\) |
0.642045 | + | 0.766667i | \(0.278086\pi\) | |||||||
\(504\) | 60.5665 | + | 34.5881i | 2.69785 | + | 1.54068i | ||||
\(505\) | −1.83989 | − | 6.73431i | −0.0818740 | − | 0.299673i | ||||
\(506\) | −12.9033 | + | 5.50110i | −0.573623 | + | 0.244554i | ||||
\(507\) | 24.2592 | + | 24.2592i | 1.07739 | + | 1.07739i | ||||
\(508\) | 4.28571 | + | 23.8662i | 0.190148 | + | 1.05889i | ||||
\(509\) | −10.6842 | − | 5.44386i | −0.473568 | − | 0.241295i | 0.200882 | − | 0.979615i | \(-0.435619\pi\) |
−0.674450 | + | 0.738321i | \(0.735619\pi\) | |||||||
\(510\) | −7.36158 | + | 4.14314i | −0.325976 | + | 0.183461i | ||||
\(511\) | −0.644497 | + | 1.98356i | −0.0285109 | + | 0.0877474i | ||||
\(512\) | 13.5578 | + | 18.1159i | 0.599178 | + | 0.800616i | ||||
\(513\) | 11.4643 | + | 35.2834i | 0.506160 | + | 1.55780i | ||||
\(514\) | 17.9470 | − | 4.50468i | 0.791607 | − | 0.198693i | ||||
\(515\) | −16.1785 | + | 7.29841i | −0.712912 | + | 0.321606i | ||||
\(516\) | −11.4097 | − | 1.56695i | −0.502284 | − | 0.0689810i | ||||
\(517\) | −11.1949 | − | 1.77309i | −0.492350 | − | 0.0779805i | ||||
\(518\) | −34.0125 | − | 7.79607i | −1.49442 | − | 0.342540i | ||||
\(519\) | 19.4579 | + | 26.7815i | 0.854105 | + | 1.17558i | ||||
\(520\) | 7.70275 | + | 1.98471i | 0.337788 | + | 0.0870355i | ||||
\(521\) | −7.94775 | + | 10.9391i | −0.348197 | + | 0.479253i | −0.946813 | − | 0.321784i | \(-0.895718\pi\) |
0.598616 | + | 0.801036i | \(0.295718\pi\) | |||||||
\(522\) | 45.3880 | − | 39.5807i | 1.98658 | − | 1.73240i | ||||
\(523\) | −9.56832 | + | 4.87530i | −0.418393 | + | 0.213182i | −0.650497 | − | 0.759509i | \(-0.725439\pi\) |
0.232103 | + | 0.972691i | \(0.425439\pi\) | |||||||
\(524\) | −5.18910 | − | 14.9176i | −0.226687 | − | 0.651680i | ||||
\(525\) | −47.3804 | + | 39.1433i | −2.06785 | + | 1.70836i | ||||
\(526\) | 25.3539 | − | 15.8984i | 1.10548 | − | 0.693201i | ||||
\(527\) | −2.73138 | + | 8.40632i | −0.118981 | + | 0.366185i | ||||
\(528\) | −0.814760 | − | 19.7656i | −0.0354579 | − | 0.860187i | ||||
\(529\) | 10.7696 | + | 7.82457i | 0.468243 | + | 0.340199i | ||||
\(530\) | −2.23257 | + | 19.2105i | −0.0969767 | + | 0.834451i | ||||
\(531\) | −2.45041 | + | 15.4713i | −0.106339 | + | 0.671396i | ||||
\(532\) | −31.5123 | + | 10.9615i | −1.36623 | + | 0.475243i | ||||
\(533\) | 15.6068 | + | 2.47187i | 0.676004 | + | 0.107068i | ||||
\(534\) | −24.1231 | + | 2.14874i | −1.04391 | + | 0.0929850i | ||||
\(535\) | −10.5137 | − | 38.4818i | −0.454545 | − | 1.66371i | ||||
\(536\) | 4.86188 | + | 7.40987i | 0.210001 | + | 0.320057i | ||||
\(537\) | 45.1366 | − | 14.6658i | 1.94779 | − | 0.632874i | ||||
\(538\) | −1.99601 | − | 22.4085i | −0.0860540 | − | 0.966099i | ||||
\(539\) | 14.2776 | − | 7.27482i | 0.614982 | − | 0.313349i | ||||
\(540\) | 36.7343 | − | 17.4908i | 1.58079 | − | 0.752685i | ||||
\(541\) | −29.5167 | − | 15.0395i | −1.26902 | − | 0.646600i | −0.315788 | − | 0.948830i | \(-0.602269\pi\) |
−0.953235 | + | 0.302230i | \(0.902269\pi\) | |||||||
\(542\) | −35.5489 | − | 14.2977i | −1.52696 | − | 0.614138i | ||||
\(543\) | 28.1125 | 1.20642 | ||||||||
\(544\) | 1.42423 | + | 4.82340i | 0.0610634 | + | 0.206802i | ||||
\(545\) | −6.04336 | − | 9.20681i | −0.258869 | − | 0.394377i | ||||
\(546\) | 1.49074 | − | 21.8115i | 0.0637979 | − | 0.933448i | ||||
\(547\) | −29.8544 | + | 4.72848i | −1.27648 | + | 0.202175i | −0.757628 | − | 0.652686i | \(-0.773642\pi\) |
−0.518856 | + | 0.854862i | \(0.673642\pi\) | |||||||
\(548\) | −15.0120 | + | 15.6435i | −0.641280 | + | 0.668259i | ||||
\(549\) | −2.94224 | − | 2.94224i | −0.125572 | − | 0.125572i | ||||
\(550\) | 11.0472 | + | 3.66378i | 0.471053 | + | 0.156224i | ||||
\(551\) | 28.8081i | 1.22726i | ||||||||
\(552\) | −42.8170 | + | 28.0938i | −1.82241 | + | 1.19575i | ||||
\(553\) | 1.88058 | − | 2.58839i | 0.0799703 | − | 0.110070i | ||||
\(554\) | 11.8546 | − | 10.3378i | 0.503653 | − | 0.439211i | ||||
\(555\) | −29.9812 | + | 27.2626i | −1.27263 | + | 1.15723i | ||||
\(556\) | 1.69720 | − | 2.44015i | 0.0719771 | − | 0.103485i | ||||
\(557\) | −2.86672 | + | 2.86672i | −0.121467 | + | 0.121467i | −0.765227 | − | 0.643760i | \(-0.777373\pi\) |
0.643760 | + | 0.765227i | \(0.277373\pi\) | |||||||
\(558\) | 31.6248 | − | 78.6300i | 1.33879 | − | 3.32867i | ||||
\(559\) | 0.744845 | + | 2.29240i | 0.0315036 | + | 0.0969580i | ||||
\(560\) | 16.4071 | + | 32.7052i | 0.693327 | + | 1.38205i | ||||
\(561\) | 1.35872 | − | 4.18172i | 0.0573654 | − | 0.176553i | ||||
\(562\) | −13.3692 | − | 11.1823i | −0.563946 | − | 0.471697i | ||||
\(563\) | −27.0677 | − | 13.7917i | −1.14077 | − | 0.581251i | −0.221609 | − | 0.975136i | \(-0.571131\pi\) |
−0.919160 | + | 0.393885i | \(0.871131\pi\) | |||||||
\(564\) | −41.3717 | + | 0.852331i | −1.74206 | + | 0.0358896i | ||||
\(565\) | −2.52369 | + | 12.1661i | −0.106173 | + | 0.511830i | ||||
\(566\) | 30.9594 | − | 2.75767i | 1.30132 | − | 0.115913i | ||||
\(567\) | −22.2459 | − | 30.6188i | −0.934238 | − | 1.28587i | ||||
\(568\) | −4.22442 | − | 38.4468i | −0.177253 | − | 1.61319i | ||||
\(569\) | −20.7899 | − | 28.6149i | −0.871559 | − | 1.19960i | −0.978688 | − | 0.205352i | \(-0.934166\pi\) |
0.107129 | − | 0.994245i | \(-0.465834\pi\) | |||||||
\(570\) | −10.4385 | + | 37.3136i | −0.437219 | + | 1.56289i | ||||
\(571\) | 4.17584 | + | 26.3652i | 0.174753 | + | 1.10335i | 0.906634 | + | 0.421917i | \(0.138643\pi\) |
−0.731881 | + | 0.681433i | \(0.761357\pi\) | |||||||
\(572\) | −3.64952 | + | 1.95524i | −0.152594 | + | 0.0817525i | ||||
\(573\) | −7.69908 | − | 15.1103i | −0.321634 | − | 0.631242i | ||||
\(574\) | 38.6146 | + | 61.5805i | 1.61174 | + | 2.57032i | ||||
\(575\) | −6.55302 | − | 29.4084i | −0.273280 | − | 1.22642i | ||||
\(576\) | −10.4708 | − | 47.0724i | −0.436282 | − | 1.96135i | ||||
\(577\) | 13.7410 | − | 42.2905i | 0.572046 | − | 1.76058i | −0.0739786 | − | 0.997260i | \(-0.523570\pi\) |
0.646025 | − | 0.763317i | \(-0.276430\pi\) | |||||||
\(578\) | 1.56311 | − | 22.8704i | 0.0650170 | − | 0.951285i | ||||
\(579\) | 5.69671 | − | 0.902271i | 0.236747 | − | 0.0374971i | ||||
\(580\) | 31.3257 | − | 4.10250i | 1.30073 | − | 0.170347i | ||||
\(581\) | −13.8697 | − | 2.19675i | −0.575413 | − | 0.0911364i | ||||
\(582\) | 19.4586 | + | 4.46015i | 0.806585 | + | 0.184879i | ||||
\(583\) | −5.91694 | − | 8.14397i | −0.245055 | − | 0.337289i | ||||
\(584\) | 1.31455 | − | 0.592725i | 0.0543967 | − | 0.0245271i | ||||
\(585\) | −13.2264 | − | 10.6035i | −0.546843 | − | 0.438403i | ||||
\(586\) | −37.7363 | − | 22.5936i | −1.55887 | − | 0.933332i | ||||
\(587\) | 10.4447 | − | 20.4988i | 0.431098 | − | 0.846077i | −0.568627 | − | 0.822596i | \(-0.692525\pi\) |
0.999724 | − | 0.0234811i | \(-0.00747496\pi\) | |||||||
\(588\) | 46.6109 | − | 35.3543i | 1.92220 | − | 1.45799i | ||||
\(589\) | 18.4057 | + | 36.1232i | 0.758392 | + | 1.48843i | ||||
\(590\) | −5.56532 | + | 6.04611i | −0.229121 | + | 0.248914i | ||||
\(591\) | 23.2614 | + | 71.5913i | 0.956847 | + | 2.94487i | ||||
\(592\) | 11.8290 | + | 21.0271i | 0.486170 | + | 0.864207i | ||||
\(593\) | 3.62324 | 0.148789 | 0.0743943 | − | 0.997229i | \(-0.476298\pi\) | ||||
0.0743943 | + | 0.997229i | \(0.476298\pi\) | |||||||
\(594\) | −7.90225 | + | 19.6477i | −0.324233 | + | 0.806153i | ||||
\(595\) | 0.889740 | + | 8.08384i | 0.0364758 | + | 0.331405i | ||||
\(596\) | −16.8246 | − | 5.08597i | −0.689162 | − | 0.208330i | ||||
\(597\) | 1.32154 | + | 8.34386i | 0.0540870 | + | 0.341492i | ||||
\(598\) | 9.19579 | + | 5.50572i | 0.376044 | + | 0.225146i | ||||
\(599\) | − | 2.10759i | − | 0.0861140i | −0.999073 | − | 0.0430570i | \(-0.986290\pi\) | ||
0.999073 | − | 0.0430570i | \(-0.0137097\pi\) | |||||||
\(600\) | 42.0610 | + | 6.03695i | 1.71713 | + | 0.246458i | ||||
\(601\) | − | 2.49399i | − | 0.101732i | −0.998705 | − | 0.0508660i | \(-0.983802\pi\) | ||
0.998705 | − | 0.0508660i | \(-0.0161981\pi\) | |||||||
\(602\) | −5.69563 | + | 9.51298i | −0.232137 | + | 0.387720i | ||||
\(603\) | −2.95466 | − | 18.6550i | −0.120323 | − | 0.759690i | ||||
\(604\) | 13.0466 | + | 24.3520i | 0.530858 | + | 0.990867i | ||||
\(605\) | 16.8987 | − | 7.62329i | 0.687030 | − | 0.309931i | ||||
\(606\) | 12.3081 | + | 4.95027i | 0.499980 | + | 0.201091i | ||||
\(607\) | −41.0789 | −1.66734 | −0.833670 | − | 0.552263i | \(-0.813764\pi\) | ||||
−0.833670 | + | 0.552263i | \(0.813764\pi\) | |||||||
\(608\) | 20.2631 | + | 11.0246i | 0.821777 | + | 0.447107i | ||||
\(609\) | −26.8330 | − | 82.5836i | −1.08733 | − | 3.34645i | ||||
\(610\) | −0.430381 | − | 2.14004i | −0.0174256 | − | 0.0866475i | ||||
\(611\) | 3.93182 | + | 7.71663i | 0.159064 | + | 0.312181i | ||||
\(612\) | 1.45830 | − | 10.6186i | 0.0589482 | − | 0.429231i | ||||
\(613\) | −13.6883 | + | 26.8647i | −0.552864 | + | 1.08506i | 0.430361 | + | 0.902657i | \(0.358386\pi\) |
−0.983225 | + | 0.182399i | \(0.941614\pi\) | |||||||
\(614\) | −1.66785 | + | 2.78568i | −0.0673088 | + | 0.112421i | ||||
\(615\) | 84.3154 | + | 4.00434i | 3.39993 | + | 0.161471i | ||||
\(616\) | −17.8123 | − | 6.74126i | −0.717679 | − | 0.271613i | ||||
\(617\) | −11.3521 | − | 15.6248i | −0.457017 | − | 0.629030i | 0.516870 | − | 0.856064i | \(-0.327097\pi\) |
−0.973887 | + | 0.227034i | \(0.927097\pi\) | |||||||
\(618\) | 7.53537 | − | 32.8751i | 0.303117 | − | 1.32243i | ||||
\(619\) | 28.9706 | + | 4.58849i | 1.16443 | + | 0.184427i | 0.708580 | − | 0.705631i | \(-0.249336\pi\) |
0.455848 | + | 0.890058i | \(0.349336\pi\) | |||||||
\(620\) | 36.6589 | − | 25.1584i | 1.47226 | − | 1.01039i | ||||
\(621\) | 54.1469 | − | 8.57602i | 2.17284 | − | 0.344144i | ||||
\(622\) | −26.3334 | − | 1.79980i | −1.05587 | − | 0.0721653i | ||||
\(623\) | −7.20513 | + | 22.1751i | −0.288667 | + | 0.888426i | ||||
\(624\) | −11.8525 | + | 9.38087i | −0.474480 | + | 0.375535i | ||||
\(625\) | −12.0730 | + | 21.8916i | −0.482920 | + | 0.875665i | ||||
\(626\) | 18.9786 | − | 11.9007i | 0.758537 | − | 0.475647i | ||||
\(627\) | −9.15591 | − | 17.9695i | −0.365652 | − | 0.717632i | ||||
\(628\) | −11.5088 | + | 38.0715i | −0.459251 | + | 1.51922i | ||||
\(629\) | 0.838858 | + | 5.29634i | 0.0334474 | + | 0.211179i | ||||
\(630\) | −3.22607 | − | 77.9127i | −0.128530 | − | 3.10412i | ||||
\(631\) | −6.72598 | − | 9.25752i | −0.267757 | − | 0.368536i | 0.653874 | − | 0.756604i | \(-0.273143\pi\) |
−0.921631 | + | 0.388068i | \(0.873143\pi\) | |||||||
\(632\) | −2.19885 | + | 0.241603i | −0.0874654 | + | 0.00961045i | ||||
\(633\) | 22.7393 | + | 31.2980i | 0.903806 | + | 1.24398i | ||||
\(634\) | 2.85781 | + | 32.0836i | 0.113498 | + | 1.27420i | ||||
\(635\) | 20.0575 | − | 18.2387i | 0.795958 | − | 0.723782i | ||||
\(636\) | −26.5170 | − | 25.4464i | −1.05147 | − | 1.00902i | ||||
\(637\) | −10.9095 | − | 5.55866i | −0.432250 | − | 0.220242i | ||||
\(638\) | −10.5505 | + | 12.6138i | −0.417697 | + | 0.499385i | ||||
\(639\) | −25.4722 | + | 78.3954i | −1.00767 | + | 3.10127i | ||||
\(640\) | 9.10245 | − | 23.6039i | 0.359806 | − | 0.933027i | ||||
\(641\) | 2.97985 | + | 9.17103i | 0.117697 | + | 0.362234i | 0.992500 | − | 0.122245i | \(-0.0390093\pi\) |
−0.874803 | + | 0.484479i | \(0.839009\pi\) | |||||||
\(642\) | 70.3318 | + | 28.2873i | 2.77577 | + | 1.11641i | ||||
\(643\) | −9.92867 | + | 9.92867i | −0.391549 | + | 0.391549i | −0.875239 | − | 0.483691i | \(-0.839296\pi\) |
0.483691 | + | 0.875239i | \(0.339296\pi\) | |||||||
\(644\) | 8.71403 | + | 48.5266i | 0.343381 | + | 1.91222i | ||||
\(645\) | 5.29483 | + | 11.7372i | 0.208484 | + | 0.462150i | ||||
\(646\) | 3.36984 | + | 3.86426i | 0.132584 | + | 0.152037i | ||||
\(647\) | −8.30294 | + | 11.4280i | −0.326422 | + | 0.449282i | −0.940414 | − | 0.340030i | \(-0.889563\pi\) |
0.613992 | + | 0.789312i | \(0.289563\pi\) | |||||||
\(648\) | −5.31965 | + | 25.6209i | −0.208976 | + | 1.00648i | ||||
\(649\) | − | 4.27729i | − | 0.167898i | ||||||
\(650\) | −2.69673 | − | 8.47449i | −0.105774 | − | 0.332397i | ||||
\(651\) | −86.4099 | − | 86.4099i | −3.38667 | − | 3.38667i | ||||
\(652\) | 38.2988 | − | 0.789024i | 1.49990 | − | 0.0309005i | ||||
\(653\) | 12.5903 | − | 1.99411i | 0.492698 | − | 0.0780356i | 0.0948583 | − | 0.995491i | \(-0.469760\pi\) |
0.397839 | + | 0.917455i | \(0.369760\pi\) | |||||||
\(654\) | 20.8794 | + | 1.42704i | 0.816450 | + | 0.0558015i | ||||
\(655\) | −11.0455 | + | 13.7777i | −0.431585 | + | 0.538339i | ||||
\(656\) | 13.5479 | − | 48.3943i | 0.528959 | − | 1.88948i | ||||
\(657\) | −3.07316 | −0.119895 | ||||||||
\(658\) | −14.8657 | + | 36.9612i | −0.579526 | + | 1.44090i | ||||
\(659\) | −45.5085 | − | 23.1877i | −1.77276 | − | 0.903266i | −0.932585 | − | 0.360951i | \(-0.882452\pi\) |
−0.840175 | − | 0.542315i | \(-0.817548\pi\) | |||||||
\(660\) | −18.2360 | + | 12.5151i | −0.709835 | + | 0.487148i | ||||
\(661\) | 9.95826 | − | 5.07399i | 0.387331 | − | 0.197355i | −0.249471 | − | 0.968382i | \(-0.580257\pi\) |
0.636802 | + | 0.771027i | \(0.280257\pi\) | |||||||
\(662\) | −21.2419 | + | 1.89209i | −0.825589 | + | 0.0735383i | ||||
\(663\) | −3.19524 | + | 1.03820i | −0.124093 | + | 0.0403202i | ||||
\(664\) | 5.32628 | + | 8.11763i | 0.206700 | + | 0.315025i | ||||
\(665\) | 29.1042 | + | 23.3328i | 1.12861 | + | 0.904807i | ||||
\(666\) | −4.56181 | − | 51.2139i | −0.176767 | − | 1.98450i | ||||
\(667\) | 42.0458 | + | 6.65940i | 1.62802 | + | 0.257853i | ||||
\(668\) | −29.7865 | − | 14.4120i | −1.15247 | − | 0.557618i | ||||
\(669\) | 1.40381 | − | 8.86331i | 0.0542744 | − | 0.342675i | ||||
\(670\) | 4.12931 | − | 9.00716i | 0.159529 | − | 0.347977i | ||||
\(671\) | 0.919209 | + | 0.667845i | 0.0354857 | + | 0.0257819i | ||||
\(672\) | −68.3567 | − | 12.7302i | −2.63692 | − | 0.491077i | ||||
\(673\) | 7.06591 | − | 21.7466i | 0.272371 | − | 0.838272i | −0.717532 | − | 0.696525i | \(-0.754728\pi\) |
0.989903 | − | 0.141746i | \(-0.0452717\pi\) | |||||||
\(674\) | −4.14084 | − | 6.60359i | −0.159499 | − | 0.254361i | ||||
\(675\) | −38.3907 | − | 24.3993i | −1.47766 | − | 0.939131i | ||||
\(676\) | −20.5566 | − | 9.94622i | −0.790640 | − | 0.382547i | ||||
\(677\) | 35.3566 | − | 18.0151i | 1.35886 | − | 0.692376i | 0.385729 | − | 0.922612i | \(-0.373950\pi\) |
0.973135 | + | 0.230236i | \(0.0739500\pi\) | |||||||
\(678\) | −15.5184 | − | 17.7953i | −0.595982 | − | 0.683425i | ||||
\(679\) | 11.2969 | − | 15.5488i | 0.433535 | − | 0.596709i | ||||
\(680\) | 3.72208 | − | 4.21464i | 0.142735 | − | 0.161624i | ||||
\(681\) | 11.1638 | + | 15.3656i | 0.427797 | + | 0.588812i | ||||
\(682\) | −5.17046 | + | 22.5575i | −0.197987 | + | 0.863772i | ||||
\(683\) | −15.0791 | − | 2.38829i | −0.576984 | − | 0.0913854i | −0.138880 | − | 0.990309i | \(-0.544350\pi\) |
−0.438105 | + | 0.898924i | \(0.644350\pi\) | |||||||
\(684\) | −29.7098 | − | 39.1692i | −1.13598 | − | 1.49767i | ||||
\(685\) | 23.7352 | + | 4.92356i | 0.906874 | + | 0.188119i | ||||
\(686\) | −3.85250 | − | 15.3487i | −0.147089 | − | 0.586015i | ||||
\(687\) | 18.4347 | + | 56.7363i | 0.703329 | + | 2.16462i | ||||
\(688\) | 7.51581 | − | 1.51006i | 0.286538 | − | 0.0575704i | ||||
\(689\) | −2.37689 | + | 7.31531i | −0.0905522 | + | 0.278691i | ||||
\(690\) | 52.0467 | + | 23.8607i | 1.98138 | + | 0.908360i | ||||
\(691\) | 35.2506 | + | 17.9611i | 1.34100 | + | 0.683272i | 0.969484 | − | 0.245156i | \(-0.0788393\pi\) |
0.371512 | + | 0.928428i | \(0.378839\pi\) | |||||||
\(692\) | −18.0897 | − | 12.5819i | −0.687668 | − | 0.478294i | ||||
\(693\) | 28.7006 | + | 28.7006i | 1.09025 | + | 1.09025i | ||||
\(694\) | 9.99290 | + | 23.4392i | 0.379325 | + | 0.889741i | ||||
\(695\) | −3.31943 | − | 0.157648i | −0.125913 | − | 0.00597992i | ||||
\(696\) | −29.7726 | + | 52.1342i | −1.12853 | + | 1.97614i | ||||
\(697\) | 6.56550 | − | 9.03664i | 0.248686 | − | 0.342287i | ||||
\(698\) | −4.61144 | + | 7.70213i | −0.174545 | + | 0.291530i | ||||
\(699\) | −17.2420 | − | 17.2420i | −0.652151 | − | 0.652151i | ||||
\(700\) | 21.2272 | − | 34.9705i | 0.802314 | − | 1.32176i | ||||
\(701\) | 9.04961 | − | 9.04961i | 0.341799 | − | 0.341799i | −0.515244 | − | 0.857043i | \(-0.672299\pi\) |
0.857043 | + | 0.515244i | \(0.172299\pi\) | |||||||
\(702\) | 15.6946 | − | 3.93934i | 0.592355 | − | 0.148681i | ||||
\(703\) | 19.8984 | + | 14.4571i | 0.750484 | + | 0.545258i | ||||
\(704\) | 4.83475 | + | 12.2482i | 0.182216 | + | 0.461622i | ||||
\(705\) | 25.3875 | + | 38.6769i | 0.956150 | + | 1.45666i | ||||
\(706\) | 20.5030 | + | 8.24624i | 0.771639 | + | 0.310351i | ||||
\(707\) | 9.03114 | − | 9.03114i | 0.339651 | − | 0.339651i | ||||
\(708\) | −2.76002 | − | 15.3700i | −0.103728 | − | 0.577639i | ||||
\(709\) | 7.06142 | − | 13.8588i | 0.265197 | − | 0.520479i | −0.719556 | − | 0.694434i | \(-0.755655\pi\) |
0.984754 | + | 0.173955i | \(0.0556548\pi\) | |||||||
\(710\) | −33.9032 | + | 26.8435i | −1.27237 | + | 1.00742i | ||||
\(711\) | 4.48358 | + | 1.45680i | 0.168148 | + | 0.0546344i | ||||
\(712\) | 14.6960 | − | 6.62635i | 0.550756 | − | 0.248333i | ||||
\(713\) | 56.9771 | − | 18.5130i | 2.13381 | − | 0.693316i | ||||
\(714\) | −13.2596 | − | 7.93881i | −0.496228 | − | 0.297102i | ||||
\(715\) | 4.02011 | + | 2.29481i | 0.150344 | + | 0.0858209i | ||||
\(716\) | −25.1695 | + | 19.0910i | −0.940630 | + | 0.713466i | ||||
\(717\) | 0.773650 | − | 4.88464i | 0.0288925 | − | 0.182420i | ||||
\(718\) | −27.5436 | + | 17.2714i | −1.02792 | + | 0.644564i | ||||
\(719\) | −39.0864 | + | 28.3979i | −1.45768 | + | 1.05906i | −0.473716 | + | 0.880678i | \(0.657088\pi\) |
−0.983961 | + | 0.178386i | \(0.942912\pi\) | |||||||
\(720\) | −38.3614 | + | 37.8842i | −1.42965 | + | 1.41186i | ||||
\(721\) | −26.2696 | − | 19.0860i | −0.978330 | − | 0.710798i | ||||
\(722\) | −3.34499 | − | 0.228618i | −0.124488 | − | 0.00850830i | ||||
\(723\) | 9.18640 | + | 18.0293i | 0.341646 | + | 0.670518i | ||||
\(724\) | −17.6740 | + | 6.14789i | −0.656848 | + | 0.228485i | ||||
\(725\) | −22.4971 | − | 27.2312i | −0.835522 | − | 1.01134i | ||||
\(726\) | −7.87080 | + | 34.3385i | −0.292113 | + | 1.27442i | ||||
\(727\) | 13.8829 | + | 4.51081i | 0.514887 | + | 0.167297i | 0.554923 | − | 0.831901i | \(-0.312748\pi\) |
−0.0400369 | + | 0.999198i | \(0.512748\pi\) | |||||||
\(728\) | 3.83273 | + | 14.0386i | 0.142050 | + | 0.520307i | ||||
\(729\) | −15.4225 | + | 21.2273i | −0.571205 | + | 0.786197i | ||||
\(730\) | −1.34239 | − | 0.892862i | −0.0496842 | − | 0.0330463i | ||||
\(731\) | 1.68291 | + | 0.266546i | 0.0622445 | + | 0.00985856i | ||||
\(732\) | 3.73402 | + | 1.80669i | 0.138013 | + | 0.0667770i | ||||
\(733\) | −2.19237 | + | 13.8421i | −0.0809769 | + | 0.511268i | 0.913545 | + | 0.406738i | \(0.133334\pi\) |
−0.994522 | + | 0.104530i | \(0.966666\pi\) | |||||||
\(734\) | 10.8079 | − | 12.9216i | 0.398927 | − | 0.476944i | ||||
\(735\) | −61.1773 | − | 23.1402i | −2.25656 | − | 0.853541i | ||||
\(736\) | 20.7747 | − | 27.0258i | 0.765766 | − | 0.996185i | ||||
\(737\) | 1.59375 | + | 4.90506i | 0.0587065 | + | 0.180680i | ||||
\(738\) | −68.7146 | + | 82.1530i | −2.52942 | + | 3.02409i | ||||
\(739\) | −1.30869 | − | 2.56845i | −0.0481409 | − | 0.0944819i | 0.865683 | − | 0.500593i | \(-0.166885\pi\) |
−0.913824 | + | 0.406111i | \(0.866885\pi\) | |||||||
\(740\) | 12.8868 | − | 23.6962i | 0.473728 | − | 0.871090i | ||||
\(741\) | −6.99599 | + | 13.7304i | −0.257004 | + | 0.504399i | ||||
\(742\) | −32.5476 | + | 13.8761i | −1.19486 | + | 0.509408i | ||||
\(743\) | − | 22.1960i | − | 0.814293i | −0.913363 | − | 0.407146i | \(-0.866524\pi\) | ||
0.913363 | − | 0.407146i | \(-0.133476\pi\) | |||||||
\(744\) | −4.02372 | + | 84.3944i | −0.147517 | + | 3.09405i | ||||
\(745\) | 5.17909 | + | 18.9564i | 0.189747 | + | 0.694508i | ||||
\(746\) | −8.50127 | + | 7.41355i | −0.311254 | + | 0.271429i | ||||
\(747\) | −3.23688 | − | 20.4368i | −0.118431 | − | 0.747745i | ||||
\(748\) | 0.0602837 | + | 2.92614i | 0.00220419 | + | 0.106990i | ||||
\(749\) | 51.6065 | − | 51.6065i | 1.88566 | − | 1.88566i | ||||
\(750\) | −19.2722 | − | 43.4229i | −0.703722 | − | 1.58558i | ||||
\(751\) | 13.6146 | 0.496805 | 0.248403 | − | 0.968657i | \(-0.420094\pi\) | ||||
0.248403 | + | 0.968657i | \(0.420094\pi\) | |||||||
\(752\) | 25.8235 | − | 9.58338i | 0.941685 | − | 0.349470i | ||||
\(753\) | −6.76990 | − | 4.91862i | −0.246709 | − | 0.179244i | ||||
\(754\) | 12.5359 | + | 0.856784i | 0.456530 | + | 0.0312022i | ||||
\(755\) | 15.3124 | − | 26.8248i | 0.557276 | − | 0.976254i | ||||
\(756\) | 61.1073 | + | 42.5020i | 2.22245 | + | 1.54578i | ||||
\(757\) | 16.3029 | + | 16.3029i | 0.592540 | + | 0.592540i | 0.938317 | − | 0.345777i | \(-0.112385\pi\) |
−0.345777 | + | 0.938317i | \(0.612385\pi\) | |||||||
\(758\) | −12.8650 | − | 30.1761i | −0.467279 | − | 1.09604i | ||||
\(759\) | −28.3433 | + | 9.20928i | −1.02880 | + | 0.334276i | ||||
\(760\) | −1.59753 | − | 25.7413i | −0.0579485 | − | 0.933736i | ||||
\(761\) | −24.9329 | − | 8.10120i | −0.903818 | − | 0.293668i | −0.180006 | − | 0.983666i | \(-0.557612\pi\) |
−0.723812 | + | 0.689997i | \(0.757612\pi\) | |||||||
\(762\) | 4.57074 | + | 51.3141i | 0.165580 | + | 1.85891i | ||||
\(763\) | 9.14717 | − | 17.9523i | 0.331150 | − | 0.649918i | ||||
\(764\) | 8.14477 | + | 7.81595i | 0.294668 | + | 0.282771i | ||||
\(765\) | −10.9233 | + | 4.92769i | −0.394933 | + | 0.178161i | ||||
\(766\) | −24.2527 | + | 28.9958i | −0.876287 | + | 1.04766i | ||||
\(767\) | −2.64408 | + | 1.92103i | −0.0954721 | + | 0.0693645i | ||||
\(768\) | 25.2766 | + | 40.8929i | 0.912090 | + | 1.47559i | ||||
\(769\) | 5.79986 | − | 4.21384i | 0.209148 | − | 0.151955i | −0.478280 | − | 0.878207i | \(-0.658740\pi\) |
0.687428 | + | 0.726252i | \(0.258740\pi\) | |||||||
\(770\) | 4.19823 | + | 20.8753i | 0.151294 | + | 0.752295i | ||||
\(771\) | 38.8289 | − | 6.14990i | 1.39839 | − | 0.221483i | ||||
\(772\) | −3.38414 | + | 1.81305i | −0.121798 | + | 0.0652533i | ||||
\(773\) | 19.1698 | − | 9.76751i | 0.689491 | − | 0.351313i | −0.0738860 | − | 0.997267i | \(-0.523540\pi\) |
0.763377 | + | 0.645954i | \(0.223540\pi\) | |||||||
\(774\) | −15.9246 | − | 3.65011i | −0.572398 | − | 0.131201i | ||||
\(775\) | −45.6079 | − | 19.7724i | −1.63829 | − | 0.710245i | ||||
\(776\) | −13.2088 | + | 1.45134i | −0.474167 | + | 0.0521001i | ||||
\(777\) | −70.5084 | − | 22.9096i | −2.52948 | − | 0.821876i | ||||
\(778\) | 7.48111 | − | 6.52392i | 0.268211 | − | 0.233894i | ||||
\(779\) | −8.01470 | − | 50.6028i | −0.287156 | − | 1.81303i | ||||
\(780\) | 15.9266 | + | 5.65207i | 0.570264 | + | 0.202376i | ||||
\(781\) | 3.52111 | − | 22.2314i | 0.125995 | − | 0.795503i | ||||
\(782\) | 6.41894 | − | 4.02505i | 0.229541 | − | 0.143935i | ||||
\(783\) | 51.9953 | − | 37.7768i | 1.85816 | − | 1.35003i | ||||
\(784\) | −21.5721 | + | 32.4201i | −0.770433 | + | 1.15786i | ||||
\(785\) | 42.8954 | − | 11.7195i | 1.53100 | − | 0.418287i | ||||
\(786\) | −8.16932 | − | 32.5472i | −0.291390 | − | 1.16092i | ||||
\(787\) | −25.1782 | − | 12.8290i | −0.897507 | − | 0.457303i | −0.0565471 | − | 0.998400i | \(-0.518009\pi\) |
−0.840960 | + | 0.541097i | \(0.818009\pi\) | |||||||
\(788\) | −30.2804 | − | 39.9215i | −1.07869 | − | 1.42215i | ||||
\(789\) | 56.6513 | − | 28.8653i | 2.01684 | − | 1.02763i | ||||
\(790\) | 1.53523 | + | 1.93899i | 0.0546211 | + | 0.0689862i | ||||
\(791\) | −21.6190 | + | 7.02445i | −0.768685 | + | 0.249761i | ||||
\(792\) | 1.33646 | − | 28.0312i | 0.0474890 | − | 0.996045i | ||||
\(793\) | − | 0.868169i | − | 0.0308296i | ||||||
\(794\) | 17.9212 | − | 7.64038i | 0.635999 | − | 0.271147i | ||||
\(795\) | −8.34580 | + | 40.2329i | −0.295995 | + | 1.42691i | ||||
\(796\) | −2.65555 | − | 4.95668i | −0.0941233 | − | 0.175685i | ||||
\(797\) | −11.8286 | + | 1.87346i | −0.418989 | + | 0.0663614i | −0.362370 | − | 0.932034i | \(-0.618032\pi\) |
−0.0566197 | + | 0.998396i | \(0.518032\pi\) | |||||||
\(798\) | −68.7533 | + | 17.2570i | −2.43384 | + | 0.610892i | ||||
\(799\) | 6.12214 | 0.216586 | ||||||||
\(800\) | −27.7634 | + | 5.40292i | −0.981586 | + | 0.191022i | ||||
\(801\) | −34.3562 | −1.21392 | ||||||||
\(802\) | −34.0567 | + | 8.54820i | −1.20258 | + | 0.301847i | ||||
\(803\) | 0.828834 | − | 0.131274i | 0.0292489 | − | 0.00463258i | ||||
\(804\) | 8.89207 | + | 16.5974i | 0.313599 | + | 0.585345i | ||||
\(805\) | 40.7824 | − | 37.0844i | 1.43739 | − | 1.30705i | ||||
\(806\) | 16.2665 | − | 6.93492i | 0.572962 | − | 0.244272i | ||||
\(807\) | − | 47.7976i | − | 1.68256i | ||||||
\(808\) | −8.82049 | − | 0.420539i | −0.310304 | − | 0.0147945i | ||||
\(809\) | −27.7401 | + | 9.01329i | −0.975288 | + | 0.316890i | −0.752949 | − | 0.658079i | \(-0.771369\pi\) |
−0.222339 | + | 0.974969i | \(0.571369\pi\) | |||||||
\(810\) | 27.4262 | − | 10.1839i | 0.963658 | − | 0.357827i | ||||
\(811\) | 13.1691 | − | 6.70998i | 0.462429 | − | 0.235619i | −0.207224 | − | 0.978294i | \(-0.566443\pi\) |
0.669653 | + | 0.742674i | \(0.266443\pi\) | |||||||
\(812\) | 34.9297 | + | 46.0512i | 1.22579 | + | 1.61608i | ||||
\(813\) | −72.5343 | − | 36.9581i | −2.54389 | − | 1.29618i | ||||
\(814\) | 3.41800 | + | 13.6176i | 0.119801 | + | 0.477296i | ||||
\(815\) | −23.5019 | − | 35.8041i | −0.823234 | − | 1.25416i | ||||
\(816\) | 2.10478 | + | 10.4759i | 0.0736820 | + | 0.366728i | ||||
\(817\) | 6.32271 | − | 4.59371i | 0.221203 | − | 0.160714i | ||||
\(818\) | −10.0087 | + | 6.27602i | −0.349945 | + | 0.219436i | ||||
\(819\) | 4.85162 | − | 30.6319i | 0.169529 | − | 1.07037i | ||||
\(820\) | −53.8837 | + | 15.9214i | −1.88170 | + | 0.555998i | ||||
\(821\) | 0.351422 | + | 2.21879i | 0.0122647 | + | 0.0774364i | 0.993062 | − | 0.117596i | \(-0.0375188\pi\) |
−0.980797 | + | 0.195032i | \(0.937519\pi\) | |||||||
\(822\) | −34.7175 | + | 30.2754i | −1.21091 | + | 1.05598i | ||||
\(823\) | −12.7855 | − | 4.15426i | −0.445674 | − | 0.144808i | 0.0775778 | − | 0.996986i | \(-0.475281\pi\) |
−0.523252 | + | 0.852178i | \(0.675281\pi\) | |||||||
\(824\) | 2.45203 | + | 22.3161i | 0.0854204 | + | 0.777417i | ||||
\(825\) | 22.6877 | + | 9.83577i | 0.789884 | + | 0.342438i | ||||
\(826\) | −14.6540 | − | 3.35887i | −0.509877 | − | 0.116870i | ||||
\(827\) | −31.7037 | + | 16.1539i | −1.10245 | + | 0.561724i | −0.907908 | − | 0.419170i | \(-0.862321\pi\) |
−0.194539 | + | 0.980895i | \(0.562321\pi\) | |||||||
\(828\) | −64.0360 | + | 34.3073i | −2.22540 | + | 1.19226i | ||||
\(829\) | 2.41010 | − | 0.381722i | 0.0837061 | − | 0.0132577i | −0.114441 | − | 0.993430i | \(-0.536508\pi\) |
0.198147 | + | 0.980172i | \(0.436508\pi\) | |||||||
\(830\) | 4.52372 | − | 9.86749i | 0.157021 | − | 0.342506i | ||||
\(831\) | 27.0356 | − | 19.6425i | 0.937854 | − | 0.681391i | ||||
\(832\) | 5.40003 | − | 8.48964i | 0.187212 | − | 0.294325i | ||||
\(833\) | −7.00225 | + | 5.08743i | −0.242614 | + | 0.176269i | ||||
\(834\) | 4.05161 | − | 4.84397i | 0.140296 | − | 0.167733i | ||||
\(835\) | 4.04745 | + | 36.7735i | 0.140068 | + | 1.27260i | ||||
\(836\) | 9.68593 | + | 9.29489i | 0.334995 | + | 0.321470i | ||||
\(837\) | 41.0624 | − | 80.5895i | 1.41932 | − | 2.78558i | ||||
\(838\) | −1.23632 | − | 13.8797i | −0.0427080 | − | 0.479468i | ||||
\(839\) | −12.2786 | − | 3.98957i | −0.423905 | − | 0.137735i | 0.0892928 | − | 0.996005i | \(-0.471539\pi\) |
−0.513198 | + | 0.858270i | \(0.671539\pi\) | |||||||
\(840\) | 28.5562 | + | 72.3043i | 0.985282 | + | 2.49473i | ||||
\(841\) | 19.8831 | − | 6.46042i | 0.685626 | − | 0.222773i | ||||
\(842\) | 11.0745 | + | 25.9763i | 0.381654 | + | 0.895203i | ||||
\(843\) | −26.1844 | − | 26.1844i | −0.901837 | − | 0.901837i | ||||
\(844\) | −21.1404 | − | 14.7038i | −0.727684 | − | 0.506126i | ||||
\(845\) | 2.79328 | + | 25.3786i | 0.0960917 | + | 0.873052i | ||||
\(846\) | −58.5651 | − | 4.00272i | −2.01351 | − | 0.137616i | ||||
\(847\) | 27.4389 | + | 19.9355i | 0.942813 | + | 0.684994i | ||||
\(848\) | 22.2357 | + | 10.1989i | 0.763578 | + | 0.350231i | ||||
\(849\) | 66.0368 | 2.26638 | ||||||||
\(850\) | −6.20311 | − | 1.02114i | −0.212765 | − | 0.0350247i | ||||
\(851\) | 25.7001 | − | 25.7001i | 0.880989 | − | 0.880989i | ||||
\(852\) | −1.69261 | − | 82.1583i | −0.0579878 | − | 2.81470i | ||||
\(853\) | 0.177521 | + | 1.12083i | 0.00607822 | + | 0.0383764i | 0.990541 | − | 0.137217i | \(-0.0438157\pi\) |
−0.984463 | + | 0.175593i | \(0.943816\pi\) | |||||||
\(854\) | 3.00987 | − | 2.62476i | 0.102996 | − | 0.0898175i | ||||
\(855\) | −19.4458 | + | 51.4100i | −0.665031 | + | 1.75818i | ||||
\(856\) | −50.4028 | − | 2.40308i | −1.72273 | − | 0.0821357i | ||||
\(857\) | − | 3.36706i | − | 0.115016i | −0.998345 | − | 0.0575082i | \(-0.981684\pi\) | ||
0.998345 | − | 0.0575082i | \(-0.0183155\pi\) | |||||||
\(858\) | −8.09176 | + | 3.44978i | −0.276248 | + | 0.117774i | ||||
\(859\) | 12.4528 | − | 24.4400i | 0.424884 | − | 0.833882i | −0.574992 | − | 0.818159i | \(-0.694995\pi\) |
0.999876 | − | 0.0157234i | \(-0.00500511\pi\) | |||||||
\(860\) | −5.89558 | − | 6.22108i | −0.201037 | − | 0.212137i | ||||
\(861\) | 70.1092 | + | 137.597i | 2.38931 | + | 4.68929i | ||||
\(862\) | 17.9224 | − | 21.4274i | 0.610440 | − | 0.729822i | ||||
\(863\) | −3.18469 | − | 9.80148i | −0.108408 | − | 0.333646i | 0.882107 | − | 0.471049i | \(-0.156125\pi\) |
−0.990515 | + | 0.137403i | \(0.956125\pi\) | |||||||
\(864\) | −6.67338 | − | 51.0295i | −0.227033 | − | 1.73606i | ||||
\(865\) | −1.16870 | + | 24.6082i | −0.0397371 | + | 0.836704i | ||||
\(866\) | 26.0793 | − | 31.1796i | 0.886210 | − | 1.05952i | ||||
\(867\) | 7.61897 | − | 48.1043i | 0.258754 | − | 1.63371i | ||||
\(868\) | 73.2217 | + | 35.4279i | 2.48531 | + | 1.20250i | ||||
\(869\) | −1.27146 | − | 0.201379i | −0.0431312 | − | 0.00683132i | ||||
\(870\) | 67.0654 | − | 2.77692i | 2.27373 | − | 0.0941464i | ||||
\(871\) | 2.31635 | − | 3.18818i | 0.0784865 | − | 0.108027i | ||||
\(872\) | −13.4387 | + | 3.66894i | −0.455092 | + | 0.124246i | ||||
\(873\) | 26.9335 | + | 8.75123i | 0.911561 | + | 0.296184i | ||||
\(874\) | 7.76416 | − | 33.8732i | 0.262627 | − | 1.14578i | ||||
\(875\) | −45.7325 | + | 0.672747i | −1.54604 | + | 0.0227430i | ||||
\(876\) | 2.89362 | − | 1.00655i | 0.0977663 | − | 0.0340080i | ||||
\(877\) | 20.9949 | + | 41.2048i | 0.708948 | + | 1.39139i | 0.911162 | + | 0.412048i | \(0.135186\pi\) |
−0.202214 | + | 0.979341i | \(0.564814\pi\) | |||||||
\(878\) | 43.8187 | + | 2.99486i | 1.47881 | + | 0.101072i | ||||
\(879\) | −75.5996 | − | 54.9263i | −2.54991 | − | 1.85262i | ||||
\(880\) | 8.72784 | − | 11.8561i | 0.294215 | − | 0.399668i | ||||
\(881\) | −26.4651 | + | 19.2280i | −0.891633 | + | 0.647809i | −0.936303 | − | 0.351193i | \(-0.885776\pi\) |
0.0446705 | + | 0.999002i | \(0.485776\pi\) | |||||||
\(882\) | 70.3106 | − | 44.0888i | 2.36748 | − | 1.48455i | ||||
\(883\) | −4.17157 | + | 26.3383i | −0.140385 | + | 0.886354i | 0.812487 | + | 0.582980i | \(0.198113\pi\) |
−0.952871 | + | 0.303374i | \(0.901887\pi\) | |||||||
\(884\) | 1.78176 | − | 1.35146i | 0.0599272 | − | 0.0454546i | ||||
\(885\) | −12.9171 | + | 11.7458i | −0.434205 | + | 0.394832i | ||||
\(886\) | 2.64775 | + | 1.58527i | 0.0889528 | + | 0.0532580i | ||||
\(887\) | −14.7069 | + | 4.77857i | −0.493811 | + | 0.160449i | −0.545327 | − | 0.838223i | \(-0.683595\pi\) |
0.0515164 | + | 0.998672i | \(0.483595\pi\) | |||||||
\(888\) | 21.0693 | + | 46.7277i | 0.707039 | + | 1.56808i | ||||
\(889\) | 47.1703 | + | 15.3265i | 1.58204 | + | 0.514036i | ||||
\(890\) | −15.0072 | − | 9.98171i | −0.503043 | − | 0.334588i | ||||
\(891\) | −6.91332 | + | 13.5682i | −0.231605 | + | 0.454550i | ||||
\(892\) | 1.05575 | + | 5.87925i | 0.0353491 | + | 0.196852i | ||||
\(893\) | 19.8561 | − | 19.8561i | 0.664459 | − | 0.664459i | ||||
\(894\) | −34.6458 | − | 13.9345i | −1.15873 | − | 0.466039i | ||||
\(895\) | 33.0353 | + | 12.4956i | 1.10425 | + | 0.417680i | ||||
\(896\) | 45.7589 | − | 6.94555i | 1.52870 | − | 0.232035i | ||||
\(897\) | 18.4225 | + | 13.3847i | 0.615110 | + | 0.446903i | ||||
\(898\) | 31.5881 | − | 7.92858i | 1.05411 | − | 0.264580i | ||||
\(899\) | 49.6629 | − | 49.6629i | 1.65635 | − | 1.65635i | ||||
\(900\) | 58.6720 | + | 13.8240i | 1.95573 | + | 0.460799i | ||||
\(901\) | 3.84475 | + | 3.84475i | 0.128087 | + | 0.128087i | ||||
\(902\) | 15.0231 | − | 25.0920i | 0.500216 | − | 0.835472i | ||||
\(903\) | −13.8464 | + | 19.0580i | −0.460780 | + | 0.634209i | ||||
\(904\) | 13.6479 | + | 7.79398i | 0.453922 | + | 0.259224i | ||||
\(905\) | 16.3234 | + | 13.0864i | 0.542608 | + | 0.435007i | ||||
\(906\) | 23.0191 | + | 53.9934i | 0.764760 | + | 1.79381i | ||||
\(907\) | −5.60394 | − | 5.60394i | −0.186076 | − | 0.186076i | 0.607921 | − | 0.793997i | \(-0.292004\pi\) |
−0.793997 | + | 0.607921i | \(0.792004\pi\) | |||||||
\(908\) | −10.3788 | − | 7.21878i | −0.344433 | − | 0.239564i | ||||
\(909\) | 16.7681 | + | 8.54379i | 0.556164 | + | 0.283380i | ||||
\(910\) | 11.0189 | − | 11.9708i | 0.365273 | − | 0.396829i | ||||
\(911\) | 6.61779 | − | 20.3675i | 0.219257 | − | 0.674804i | −0.779567 | − | 0.626319i | \(-0.784561\pi\) |
0.998824 | − | 0.0484850i | \(-0.0154393\pi\) | |||||||
\(912\) | 40.8031 | + | 27.1501i | 1.35113 | + | 0.899030i | ||||
\(913\) | 1.74598 | + | 5.37357i | 0.0577835 | + | 0.177839i | ||||
\(914\) | −0.0111480 | − | 0.0444144i | −0.000368742 | − | 0.00146910i | ||||
\(915\) | −0.507387 | − | 4.60992i | −0.0167737 | − | 0.152399i | ||||
\(916\) | −23.9973 | − | 31.6379i | −0.792892 | − | 1.04535i | ||||
\(917\) | −31.9087 | − | 5.05385i | −1.05372 | − | 0.166893i | ||||
\(918\) | 2.55560 | − | 11.1495i | 0.0843473 | − | 0.367988i | ||||
\(919\) | −14.7354 | − | 20.2815i | −0.486076 | − | 0.669026i | 0.493583 | − | 0.869699i | \(-0.335687\pi\) |
−0.979658 | + | 0.200673i | \(0.935687\pi\) | |||||||
\(920\) | −37.9392 | − | 3.61886i | −1.25082 | − | 0.119310i | ||||
\(921\) | −4.05463 | + | 5.58072i | −0.133605 | + | 0.183891i | ||||
\(922\) | −3.35464 | − | 3.84684i | −0.110479 | − | 0.126689i | ||||
\(923\) | −15.3241 | + | 7.80803i | −0.504400 | + | 0.257005i | ||||
\(924\) | −36.4241 | − | 17.6236i | −1.19827 | − | 0.579775i | ||||
\(925\) | −30.0992 | + | 1.87357i | −0.989657 | + | 0.0616026i | ||||
\(926\) | −4.12239 | − | 6.57418i | −0.135470 | − | 0.216041i | ||||
\(927\) | 14.7851 | − | 45.5038i | 0.485606 | − | 1.49454i | ||||
\(928\) | 7.31649 | − | 39.2871i | 0.240175 | − | 1.28966i | ||||
\(929\) | −23.6824 | − | 17.2063i | −0.776994 | − | 0.564519i | 0.127081 | − | 0.991892i | \(-0.459439\pi\) |
−0.904075 | + | 0.427373i | \(0.859439\pi\) | |||||||
\(930\) | 82.3208 | − | 46.3306i | 2.69941 | − | 1.51924i | ||||
\(931\) | −6.21038 | + | 39.2108i | −0.203537 | + | 1.28508i | ||||
\(932\) | 14.6104 | + | 7.06918i | 0.478580 | + | 0.231559i | ||||
\(933\) | −55.3882 | − | 8.77262i | −1.81333 | − | 0.287203i | ||||
\(934\) | −2.55142 | − | 28.6439i | −0.0834851 | − | 0.937259i | ||||
\(935\) | 2.73554 | − | 1.79561i | 0.0894617 | − | 0.0587227i | ||||
\(936\) | −17.9282 | + | 11.7633i | −0.586001 | + | 0.384496i | ||||
\(937\) | −44.7234 | + | 14.5315i | −1.46105 | + | 0.474723i | −0.928390 | − | 0.371607i | \(-0.878807\pi\) |
−0.532658 | + | 0.846330i | \(0.678807\pi\) | |||||||
\(938\) | 18.0562 | − | 1.60834i | 0.589557 | − | 0.0525141i | ||||
\(939\) | 42.4062 | − | 21.6070i | 1.38387 | − | 0.705119i | ||||
\(940\) | −24.4190 | − | 18.7637i | −0.796461 | − | 0.612004i | ||||
\(941\) | 27.5230 | + | 14.0237i | 0.897226 | + | 0.457159i | 0.840861 | − | 0.541251i | \(-0.182049\pi\) |
0.0563646 | + | 0.998410i | \(0.482049\pi\) | |||||||
\(942\) | −31.5317 | + | 78.3984i | −1.02736 | + | 2.55436i | ||||
\(943\) | −75.7083 | −2.46540 | ||||||||
\(944\) | 5.09644 | + | 9.05933i | 0.165875 | + | 0.294856i | ||||
\(945\) | 3.94789 | − | 83.1268i | 0.128425 | − | 2.70412i | ||||
\(946\) | 4.45081 | + | 0.304197i | 0.144708 | + | 0.00989030i | ||||
\(947\) | −21.7995 | + | 3.45270i | −0.708388 | + | 0.112198i | −0.500224 | − | 0.865896i | \(-0.666749\pi\) |
−0.208164 | + | 0.978094i | \(0.566749\pi\) | |||||||
\(948\) | −4.69879 | + | 0.0968036i | −0.152610 | + | 0.00314403i | ||||
\(949\) | −0.453399 | − | 0.453399i | −0.0147180 | − | 0.0147180i | ||||
\(950\) | −23.4306 | + | 16.8068i | −0.760188 | + | 0.545285i | ||||
\(951\) | 68.4348i | 2.21915i | ||||||||
\(952\) | 10.0723 | + | 2.09130i | 0.326444 | + | 0.0677795i | ||||
\(953\) | −5.65569 | + | 7.78439i | −0.183206 | + | 0.252161i | −0.890735 | − | 0.454523i | \(-0.849810\pi\) |
0.707529 | + | 0.706684i | \(0.249810\pi\) | |||||||
\(954\) | −34.2656 | − | 39.2930i | −1.10939 | − | 1.27216i | ||||
\(955\) | 2.56344 | − | 12.3577i | 0.0829509 | − | 0.399885i | ||||
\(956\) | 0.581832 | + | 3.24010i | 0.0188178 | + | 0.104792i | ||||
\(957\) | −24.7048 | + | 24.7048i | −0.798593 | + | 0.798593i | ||||
\(958\) | −7.21926 | − | 2.90357i | −0.233244 | − | 0.0938102i | ||||
\(959\) | 13.7042 | + | 42.1773i | 0.442533 | + | 1.36198i | ||||
\(960\) | 23.7121 | − | 48.2354i | 0.765306 | − | 1.55679i | ||||
\(961\) | 20.9641 | − | 64.5208i | 0.676261 | − | 2.08132i | ||||
\(962\) | 6.88282 | − | 8.22888i | 0.221911 | − | 0.265310i | ||||
\(963\) | 95.8180 | + | 48.8217i | 3.08769 | + | 1.57326i | ||||
\(964\) | −9.71819 | − | 9.32585i | −0.313002 | − | 0.300365i | ||||
\(965\) | 3.72778 | + | 2.12793i | 0.120001 | + | 0.0685006i | ||||
\(966\) | 9.29357 | + | 104.336i | 0.299016 | + | 3.35695i | ||||
\(967\) | −14.6957 | − | 20.2269i | −0.472581 | − | 0.650452i | 0.504477 | − | 0.863425i | \(-0.331685\pi\) |
−0.977058 | + | 0.212973i | \(0.931685\pi\) | |||||||
\(968\) | −2.56117 | − | 23.3094i | −0.0823193 | − | 0.749194i | ||||
\(969\) | 6.40291 | + | 8.81285i | 0.205691 | + | 0.283110i | ||||
\(970\) | 9.22234 | + | 11.6478i | 0.296112 | + | 0.373988i | ||||
\(971\) | 9.25297 | + | 58.4209i | 0.296942 | + | 1.87482i | 0.459588 | + | 0.888132i | \(0.347997\pi\) |
−0.162646 | + | 0.986684i | \(0.552003\pi\) | |||||||
\(972\) | −0.292035 | + | 0.966063i | −0.00936704 | + | 0.0309865i | ||||
\(973\) | −2.76014 | − | 5.41709i | −0.0884862 | − | 0.173664i | ||||
\(974\) | 7.26755 | − | 4.55718i | 0.232867 | − | 0.146021i | ||||
\(975\) | −4.10944 | − | 18.4422i | −0.131607 | − | 0.590624i | ||||
\(976\) | −2.74263 | − | 0.319252i | −0.0877896 | − | 0.0102190i | ||||
\(977\) | −1.03872 | + | 3.19684i | −0.0332315 | + | 0.102276i | −0.966296 | − | 0.257432i | \(-0.917124\pi\) |
0.933065 | + | 0.359708i | \(0.117124\pi\) | |||||||
\(978\) | 81.1974 | + | 5.54956i | 2.59641 | + | 0.177455i | ||||
\(979\) | 9.26592 | − | 1.46758i | 0.296140 | − | 0.0469040i | ||||
\(980\) | 43.5219 | + | 1.16919i | 1.39026 | + | 0.0373483i | ||||
\(981\) | 29.3229 | + | 4.64429i | 0.936207 | + | 0.148281i | ||||
\(982\) | −9.28151 | + | 40.4931i | −0.296185 | + | 1.29219i | ||||
\(983\) | 10.4604 | + | 14.3974i | 0.333634 | + | 0.459207i | 0.942568 | − | 0.334013i | \(-0.108403\pi\) |
−0.608935 | + | 0.793220i | \(0.708403\pi\) | |||||||
\(984\) | 37.7928 | − | 99.8594i | 1.20479 | − | 3.18340i | ||||
\(985\) | −19.8193 | + | 52.3974i | −0.631494 | + | 1.66952i | ||||
\(986\) | 4.56272 | − | 7.62077i | 0.145307 | − | 0.242695i | ||||
\(987\) | −38.4263 | + | 75.4159i | −1.22312 | + | 2.40051i | ||||
\(988\) | 1.39560 | − | 10.1621i | 0.0444001 | − | 0.323299i | ||||
\(989\) | −5.24301 | − | 10.2900i | −0.166718 | − | 0.327203i | ||||
\(990\) | −27.3425 | + | 15.3885i | −0.869001 | + | 0.489078i | ||||
\(991\) | −16.3018 | − | 50.1718i | −0.517844 | − | 1.59376i | −0.778047 | − | 0.628205i | \(-0.783790\pi\) |
0.260204 | − | 0.965554i | \(-0.416210\pi\) | |||||||
\(992\) | −15.9265 | − | 53.9376i | −0.505665 | − | 1.71252i | ||||
\(993\) | −45.3092 | −1.43784 | ||||||||
\(994\) | −73.3997 | − | 29.5212i | −2.32810 | − | 0.936355i | ||||
\(995\) | −3.11674 | + | 5.46000i | −0.0988073 | + | 0.173094i | ||||
\(996\) | 9.74141 | + | 18.1827i | 0.308669 | + | 0.576142i | ||||
\(997\) | 7.29239 | + | 46.0423i | 0.230952 | + | 1.45818i | 0.781779 | + | 0.623556i | \(0.214313\pi\) |
−0.550827 | + | 0.834620i | \(0.685687\pi\) | |||||||
\(998\) | 30.6337 | − | 51.1652i | 0.969694 | − | 1.61961i | ||||
\(999\) | − | 54.8724i | − | 1.73609i |
(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 | 400.2.be.a.21.5 | ✓ | 464 | |
16.13 | even | 4 | inner | 400.2.be.a.221.42 | yes | 464 | |
25.6 | even | 5 | inner | 400.2.be.a.181.42 | yes | 464 | |
400.381 | even | 20 | inner | 400.2.be.a.381.5 | yes | 464 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
400.2.be.a.21.5 | ✓ | 464 | 1.1 | even | 1 | trivial | |
400.2.be.a.181.42 | yes | 464 | 25.6 | even | 5 | inner | |
400.2.be.a.221.42 | yes | 464 | 16.13 | even | 4 | inner | |
400.2.be.a.381.5 | yes | 464 | 400.381 | even | 20 | inner |