Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(31,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 2, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bz (of order \(12\), degree \(4\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 73.3 | ||
Character | \(\chi\) | \(=\) | 273.73 |
Dual form | 273.2.bz.a.187.3 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.458633 | + | 1.71164i | −0.324303 | + | 1.21031i | 0.590708 | + | 0.806885i | \(0.298848\pi\) |
−0.915011 | + | 0.403429i | \(0.867818\pi\) | |||||||
\(3\) | 0.866025 | + | 0.500000i | 0.500000 | + | 0.288675i | ||||
\(4\) | −0.987324 | − | 0.570032i | −0.493662 | − | 0.285016i | ||||
\(5\) | 2.18934 | + | 0.586631i | 0.979101 | + | 0.262349i | 0.712666 | − | 0.701504i | \(-0.247488\pi\) |
0.266435 | + | 0.963853i | \(0.414154\pi\) | |||||||
\(6\) | −1.25301 | + | 1.25301i | −0.511539 | + | 0.511539i | ||||
\(7\) | −0.537086 | − | 2.59066i | −0.202999 | − | 0.979179i | ||||
\(8\) | −1.07751 | + | 1.07751i | −0.380957 | + | 0.380957i | ||||
\(9\) | 0.500000 | + | 0.866025i | 0.166667 | + | 0.288675i | ||||
\(10\) | −2.00820 | + | 3.47831i | −0.635050 | + | 1.09994i | ||||
\(11\) | 0.937810 | + | 3.49995i | 0.282760 | + | 1.05528i | 0.950460 | + | 0.310845i | \(0.100612\pi\) |
−0.667700 | + | 0.744430i | \(0.732721\pi\) | |||||||
\(12\) | −0.570032 | − | 0.987324i | −0.164554 | − | 0.285016i | ||||
\(13\) | 1.56942 | + | 3.24606i | 0.435278 | + | 0.900296i | ||||
\(14\) | 4.68062 | + | 0.268865i | 1.25095 | + | 0.0718572i | ||||
\(15\) | 1.60271 | + | 1.60271i | 0.413817 | + | 0.413817i | ||||
\(16\) | −2.49019 | − | 4.31314i | −0.622548 | − | 1.07828i | ||||
\(17\) | 2.54394 | − | 4.40624i | 0.616997 | − | 1.06867i | −0.373034 | − | 0.927818i | \(-0.621682\pi\) |
0.990031 | − | 0.140852i | \(-0.0449843\pi\) | |||||||
\(18\) | −1.71164 | + | 0.458633i | −0.403438 | + | 0.108101i | ||||
\(19\) | −2.91838 | − | 0.781978i | −0.669522 | − | 0.179398i | −0.0919827 | − | 0.995761i | \(-0.529320\pi\) |
−0.577540 | + | 0.816363i | \(0.695987\pi\) | |||||||
\(20\) | −1.82719 | − | 1.82719i | −0.408571 | − | 0.408571i | ||||
\(21\) | 0.830202 | − | 2.51212i | 0.181165 | − | 0.548190i | ||||
\(22\) | −6.42078 | −1.36891 | ||||||||
\(23\) | −2.54131 | + | 1.46723i | −0.529900 | + | 0.305938i | −0.740976 | − | 0.671532i | \(-0.765637\pi\) |
0.211076 | + | 0.977470i | \(0.432303\pi\) | |||||||
\(24\) | −1.47190 | + | 0.394395i | −0.300451 | + | 0.0805056i | ||||
\(25\) | 0.118928 | + | 0.0686633i | 0.0237857 | + | 0.0137327i | ||||
\(26\) | −6.27589 | + | 1.19753i | −1.23080 | + | 0.234855i | ||||
\(27\) | 1.00000i | 0.192450i | ||||||||
\(28\) | −0.946483 | + | 2.86398i | −0.178868 | + | 0.541242i | ||||
\(29\) | 1.91801 | 0.356165 | 0.178083 | − | 0.984016i | \(-0.443011\pi\) | ||||
0.178083 | + | 0.984016i | \(0.443011\pi\) | |||||||
\(30\) | −3.47831 | + | 2.00820i | −0.635050 | + | 0.366646i | ||||
\(31\) | −0.708258 | − | 2.64326i | −0.127207 | − | 0.474743i | 0.872702 | − | 0.488254i | \(-0.162366\pi\) |
−0.999909 | + | 0.0135108i | \(0.995699\pi\) | |||||||
\(32\) | 5.58083 | − | 1.49538i | 0.986560 | − | 0.264348i | ||||
\(33\) | −0.937810 | + | 3.49995i | −0.163252 | + | 0.609264i | ||||
\(34\) | 6.37517 | + | 6.37517i | 1.09333 | + | 1.09333i | ||||
\(35\) | 0.343901 | − | 5.98690i | 0.0581299 | − | 1.01197i | ||||
\(36\) | − | 1.14006i | − | 0.190011i | ||||||
\(37\) | −5.36332 | − | 1.43710i | −0.881725 | − | 0.236258i | −0.210574 | − | 0.977578i | \(-0.567533\pi\) |
−0.671151 | + | 0.741320i | \(0.734200\pi\) | |||||||
\(38\) | 2.67693 | − | 4.63658i | 0.434256 | − | 0.752153i | ||||
\(39\) | −0.263875 | + | 3.59588i | −0.0422539 | + | 0.575802i | ||||
\(40\) | −2.99113 | + | 1.72693i | −0.472938 | + | 0.273051i | ||||
\(41\) | 5.23127 | − | 5.23127i | 0.816986 | − | 0.816986i | −0.168684 | − | 0.985670i | \(-0.553952\pi\) |
0.985670 | + | 0.168684i | \(0.0539517\pi\) | |||||||
\(42\) | 3.91910 | + | 2.57315i | 0.604730 | + | 0.397046i | ||||
\(43\) | − | 5.01847i | − | 0.765310i | −0.923891 | − | 0.382655i | \(-0.875010\pi\) | ||
0.923891 | − | 0.382655i | \(-0.124990\pi\) | |||||||
\(44\) | 1.06916 | − | 3.99017i | 0.161182 | − | 0.601541i | ||||
\(45\) | 0.586631 | + | 2.18934i | 0.0874497 | + | 0.326367i | ||||
\(46\) | −1.34584 | − | 5.02273i | −0.198433 | − | 0.740562i | ||||
\(47\) | −1.55216 | + | 5.79276i | −0.226406 | + | 0.844960i | 0.755430 | + | 0.655230i | \(0.227428\pi\) |
−0.981836 | + | 0.189731i | \(0.939239\pi\) | |||||||
\(48\) | − | 4.98038i | − | 0.718856i | ||||||
\(49\) | −6.42308 | + | 2.78282i | −0.917582 | + | 0.397546i | ||||
\(50\) | −0.172072 | + | 0.172072i | −0.0243346 | + | 0.0243346i | ||||
\(51\) | 4.40624 | − | 2.54394i | 0.616997 | − | 0.356223i | ||||
\(52\) | 0.300835 | − | 4.09954i | 0.0417183 | − | 0.568503i | ||||
\(53\) | 5.73961 | − | 9.94129i | 0.788396 | − | 1.36554i | −0.138553 | − | 0.990355i | \(-0.544245\pi\) |
0.926949 | − | 0.375187i | \(-0.122421\pi\) | |||||||
\(54\) | −1.71164 | − | 0.458633i | −0.232925 | − | 0.0624121i | ||||
\(55\) | 8.21272i | 1.10740i | ||||||||
\(56\) | 3.37017 | + | 2.21275i | 0.450359 | + | 0.295691i | ||||
\(57\) | −2.13640 | − | 2.13640i | −0.282973 | − | 0.282973i | ||||
\(58\) | −0.879663 | + | 3.28295i | −0.115505 | + | 0.431072i | ||||
\(59\) | −1.22637 | + | 0.328604i | −0.159659 | + | 0.0427805i | −0.337763 | − | 0.941231i | \(-0.609670\pi\) |
0.178104 | + | 0.984012i | \(0.443004\pi\) | |||||||
\(60\) | −0.668797 | − | 2.49598i | −0.0863413 | − | 0.322230i | ||||
\(61\) | 8.11798 | − | 4.68692i | 1.03940 | − | 0.600099i | 0.119738 | − | 0.992806i | \(-0.461795\pi\) |
0.919664 | + | 0.392707i | \(0.128461\pi\) | |||||||
\(62\) | 4.84914 | 0.615842 | ||||||||
\(63\) | 1.97504 | − | 1.76046i | 0.248831 | − | 0.221797i | ||||
\(64\) | 0.277446i | 0.0346807i | ||||||||
\(65\) | 1.53174 | + | 8.02739i | 0.189989 | + | 0.995675i | ||||
\(66\) | −5.56056 | − | 3.21039i | −0.684457 | − | 0.395172i | ||||
\(67\) | 7.63042 | − | 2.04457i | 0.932205 | − | 0.249783i | 0.239410 | − | 0.970919i | \(-0.423046\pi\) |
0.692794 | + | 0.721135i | \(0.256379\pi\) | |||||||
\(68\) | −5.02340 | + | 2.90026i | −0.609176 | + | 0.351708i | ||||
\(69\) | −2.93445 | −0.353267 | ||||||||
\(70\) | 10.0897 | + | 3.33443i | 1.20595 | + | 0.398540i | ||||
\(71\) | 1.84716 | + | 1.84716i | 0.219218 | + | 0.219218i | 0.808169 | − | 0.588951i | \(-0.200459\pi\) |
−0.588951 | + | 0.808169i | \(0.700459\pi\) | |||||||
\(72\) | −1.47190 | − | 0.394395i | −0.173465 | − | 0.0464799i | ||||
\(73\) | 9.26691 | − | 2.48306i | 1.08461 | − | 0.290620i | 0.328127 | − | 0.944634i | \(-0.393583\pi\) |
0.756483 | + | 0.654013i | \(0.226916\pi\) | |||||||
\(74\) | 4.91960 | − | 8.52099i | 0.571892 | − | 0.990545i | ||||
\(75\) | 0.0686633 | + | 0.118928i | 0.00792856 | + | 0.0137327i | ||||
\(76\) | 2.43564 | + | 2.43564i | 0.279387 | + | 0.279387i | ||||
\(77\) | 8.56352 | − | 4.30933i | 0.975903 | − | 0.491093i | ||||
\(78\) | −6.03384 | − | 2.10085i | −0.683198 | − | 0.237875i | ||||
\(79\) | 0.0621069 | + | 0.107572i | 0.00698757 | + | 0.0121028i | 0.869498 | − | 0.493936i | \(-0.164442\pi\) |
−0.862510 | + | 0.506039i | \(0.831109\pi\) | |||||||
\(80\) | −2.92165 | − | 10.9037i | −0.326650 | − | 1.21907i | ||||
\(81\) | −0.500000 | + | 0.866025i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 6.55482 | + | 11.3533i | 0.723859 | + | 1.25376i | ||||
\(83\) | −9.88999 | + | 9.88999i | −1.08557 | + | 1.08557i | −0.0895882 | + | 0.995979i | \(0.528555\pi\) |
−0.995979 | + | 0.0895882i | \(0.971445\pi\) | |||||||
\(84\) | −2.25167 | + | 2.00704i | −0.245677 | + | 0.218986i | ||||
\(85\) | 8.15438 | − | 8.15438i | 0.884467 | − | 0.884467i | ||||
\(86\) | 8.58983 | + | 2.30164i | 0.926265 | + | 0.248192i | ||||
\(87\) | 1.66104 | + | 0.959004i | 0.178083 | + | 0.102816i | ||||
\(88\) | −4.78172 | − | 2.76073i | −0.509734 | − | 0.294295i | ||||
\(89\) | −4.71305 | + | 17.5894i | −0.499583 | + | 1.86447i | 0.00309776 | + | 0.999995i | \(0.499014\pi\) |
−0.502680 | + | 0.864472i | \(0.667653\pi\) | |||||||
\(90\) | −4.01641 | −0.423367 | ||||||||
\(91\) | 7.56654 | − | 5.80925i | 0.793189 | − | 0.608975i | ||||
\(92\) | 3.34546 | 0.348789 | ||||||||
\(93\) | 0.708258 | − | 2.64326i | 0.0734430 | − | 0.274093i | ||||
\(94\) | −9.20325 | − | 5.31350i | −0.949243 | − | 0.548046i | ||||
\(95\) | −5.93058 | − | 3.42402i | −0.608465 | − | 0.351297i | ||||
\(96\) | 5.58083 | + | 1.49538i | 0.569591 | + | 0.152621i | ||||
\(97\) | −10.0905 | + | 10.0905i | −1.02454 | + | 1.02454i | −0.0248466 | + | 0.999691i | \(0.507910\pi\) |
−0.999691 | + | 0.0248466i | \(0.992090\pi\) | |||||||
\(98\) | −1.81735 | − | 12.2703i | −0.183581 | − | 1.23949i | ||||
\(99\) | −2.56214 | + | 2.56214i | −0.257505 | + | 0.257505i | ||||
\(100\) | −0.0782806 | − | 0.135586i | −0.00782806 | − | 0.0135586i | ||||
\(101\) | −2.40929 | + | 4.17301i | −0.239733 | + | 0.415230i | −0.960638 | − | 0.277804i | \(-0.910393\pi\) |
0.720904 | + | 0.693035i | \(0.243727\pi\) | |||||||
\(102\) | 2.33347 | + | 8.70864i | 0.231048 | + | 0.862284i | ||||
\(103\) | −6.13411 | − | 10.6246i | −0.604412 | − | 1.04687i | −0.992144 | − | 0.125100i | \(-0.960075\pi\) |
0.387732 | − | 0.921772i | \(-0.373259\pi\) | |||||||
\(104\) | −5.18872 | − | 1.80660i | −0.508796 | − | 0.177151i | ||||
\(105\) | 3.29128 | − | 5.01286i | 0.321196 | − | 0.489205i | ||||
\(106\) | 14.3836 | + | 14.3836i | 1.39706 | + | 1.39706i | ||||
\(107\) | −6.26406 | − | 10.8497i | −0.605569 | − | 1.04888i | −0.991961 | − | 0.126542i | \(-0.959612\pi\) |
0.386392 | − | 0.922335i | \(-0.373721\pi\) | |||||||
\(108\) | 0.570032 | − | 0.987324i | 0.0548514 | − | 0.0950053i | ||||
\(109\) | 15.3102 | − | 4.10237i | 1.46646 | − | 0.392936i | 0.564741 | − | 0.825268i | \(-0.308976\pi\) |
0.901714 | + | 0.432333i | \(0.142309\pi\) | |||||||
\(110\) | −14.0572 | − | 3.76663i | −1.34031 | − | 0.359134i | ||||
\(111\) | −3.92623 | − | 3.92623i | −0.372661 | − | 0.372661i | ||||
\(112\) | −9.83644 | + | 8.76777i | −0.929456 | + | 0.828477i | ||||
\(113\) | −13.0654 | −1.22909 | −0.614547 | − | 0.788880i | \(-0.710661\pi\) | ||||
−0.614547 | + | 0.788880i | \(0.710661\pi\) | |||||||
\(114\) | 4.63658 | − | 2.67693i | 0.434256 | − | 0.250718i | ||||
\(115\) | −6.42450 | + | 1.72144i | −0.599088 | + | 0.160525i | ||||
\(116\) | −1.89370 | − | 1.09333i | −0.175825 | − | 0.101513i | ||||
\(117\) | −2.02646 | + | 2.98219i | −0.187347 | + | 0.275703i | ||||
\(118\) | − | 2.24981i | − | 0.207112i | ||||||
\(119\) | −12.7814 | − | 4.22397i | −1.17167 | − | 0.387211i | ||||
\(120\) | −3.45385 | −0.315292 | ||||||||
\(121\) | −1.84391 | + | 1.06458i | −0.167628 | + | 0.0967801i | ||||
\(122\) | 4.29915 | + | 16.0447i | 0.389227 | + | 1.45262i | ||||
\(123\) | 7.14604 | − | 1.91478i | 0.644337 | − | 0.172650i | ||||
\(124\) | −0.807460 | + | 3.01348i | −0.0725120 | + | 0.270619i | ||||
\(125\) | −7.79343 | − | 7.79343i | −0.697066 | − | 0.697066i | ||||
\(126\) | 2.10746 | + | 4.18796i | 0.187748 | + | 0.373094i | ||||
\(127\) | − | 22.0023i | − | 1.95239i | −0.216891 | − | 0.976196i | \(-0.569592\pi\) | ||
0.216891 | − | 0.976196i | \(-0.430408\pi\) | |||||||
\(128\) | 10.6868 | + | 2.86351i | 0.944586 | + | 0.253101i | ||||
\(129\) | 2.50924 | − | 4.34612i | 0.220926 | − | 0.382655i | ||||
\(130\) | −14.4425 | − | 1.05983i | −1.26669 | − | 0.0929533i | ||||
\(131\) | 2.96980 | − | 1.71462i | 0.259473 | − | 0.149807i | −0.364621 | − | 0.931156i | \(-0.618802\pi\) |
0.624094 | + | 0.781349i | \(0.285468\pi\) | |||||||
\(132\) | 2.92101 | − | 2.92101i | 0.254241 | − | 0.254241i | ||||
\(133\) | −0.458420 | + | 7.98053i | −0.0397500 | + | 0.692000i | ||||
\(134\) | 13.9983i | 1.20927i | ||||||||
\(135\) | −0.586631 | + | 2.18934i | −0.0504891 | + | 0.188428i | ||||
\(136\) | 2.00664 | + | 7.48888i | 0.172068 | + | 0.642166i | ||||
\(137\) | 0.0801554 | + | 0.299144i | 0.00684814 | + | 0.0255576i | 0.969265 | − | 0.246018i | \(-0.0791221\pi\) |
−0.962417 | + | 0.271575i | \(0.912455\pi\) | |||||||
\(138\) | 1.34584 | − | 5.02273i | 0.114565 | − | 0.427563i | ||||
\(139\) | 13.4218i | 1.13842i | 0.822191 | + | 0.569212i | \(0.192752\pi\) | ||||
−0.822191 | + | 0.569212i | \(0.807248\pi\) | |||||||
\(140\) | −3.75227 | + | 5.71498i | −0.317125 | + | 0.483004i | ||||
\(141\) | −4.24059 | + | 4.24059i | −0.357122 | + | 0.357122i | ||||
\(142\) | −4.00885 | + | 2.31451i | −0.336415 | + | 0.194229i | ||||
\(143\) | −9.88925 | + | 8.53708i | −0.826981 | + | 0.713907i | ||||
\(144\) | 2.49019 | − | 4.31314i | 0.207516 | − | 0.359428i | ||||
\(145\) | 4.19917 | + | 1.12516i | 0.348722 | + | 0.0934397i | ||||
\(146\) | 17.0005i | 1.40697i | ||||||||
\(147\) | −6.95396 | − | 0.801547i | −0.573553 | − | 0.0661105i | ||||
\(148\) | 4.47615 | + | 4.47615i | 0.367937 | + | 0.367937i | ||||
\(149\) | −3.46100 | + | 12.9166i | −0.283536 | + | 1.05817i | 0.666366 | + | 0.745624i | \(0.267849\pi\) |
−0.949902 | + | 0.312547i | \(0.898818\pi\) | |||||||
\(150\) | −0.235054 | + | 0.0629826i | −0.0191921 | + | 0.00514250i | ||||
\(151\) | 2.24614 | + | 8.38272i | 0.182788 | + | 0.682176i | 0.995093 | + | 0.0989425i | \(0.0315460\pi\) |
−0.812305 | + | 0.583233i | \(0.801787\pi\) | |||||||
\(152\) | 3.98716 | − | 2.30199i | 0.323402 | − | 0.186716i | ||||
\(153\) | 5.08789 | 0.411331 | ||||||||
\(154\) | 3.44851 | + | 16.6341i | 0.277889 | + | 1.34041i | ||||
\(155\) | − | 6.20246i | − | 0.498194i | ||||||
\(156\) | 2.31030 | − | 3.39988i | 0.184972 | − | 0.272209i | ||||
\(157\) | −7.07753 | − | 4.08622i | −0.564849 | − | 0.326116i | 0.190241 | − | 0.981737i | \(-0.439073\pi\) |
−0.755089 | + | 0.655622i | \(0.772407\pi\) | |||||||
\(158\) | −0.212610 | + | 0.0569686i | −0.0169143 | + | 0.00453218i | ||||
\(159\) | 9.94129 | − | 5.73961i | 0.788396 | − | 0.455181i | ||||
\(160\) | 13.0955 | 1.03529 | ||||||||
\(161\) | 5.16599 | + | 5.79565i | 0.407137 | + | 0.456762i | ||||
\(162\) | −1.25301 | − | 1.25301i | −0.0984457 | − | 0.0984457i | ||||
\(163\) | −18.0124 | − | 4.82640i | −1.41084 | − | 0.378033i | −0.528614 | − | 0.848862i | \(-0.677288\pi\) |
−0.882224 | + | 0.470829i | \(0.843955\pi\) | |||||||
\(164\) | −8.14694 | + | 2.18297i | −0.636169 | + | 0.170461i | ||||
\(165\) | −4.10636 | + | 7.11243i | −0.319680 | + | 0.553702i | ||||
\(166\) | −12.3922 | − | 21.4640i | −0.961825 | − | 1.66593i | ||||
\(167\) | −3.50837 | − | 3.50837i | −0.271486 | − | 0.271486i | 0.558212 | − | 0.829698i | \(-0.311487\pi\) |
−0.829698 | + | 0.558212i | \(0.811487\pi\) | |||||||
\(168\) | 1.81228 | + | 3.60138i | 0.139821 | + | 0.277853i | ||||
\(169\) | −8.07385 | + | 10.1889i | −0.621065 | + | 0.783759i | ||||
\(170\) | 10.2175 | + | 17.6973i | 0.783648 | + | 1.35732i | ||||
\(171\) | −0.781978 | − | 2.91838i | −0.0597993 | − | 0.223174i | ||||
\(172\) | −2.86069 | + | 4.95486i | −0.218125 | + | 0.377804i | ||||
\(173\) | −2.04064 | − | 3.53449i | −0.155147 | − | 0.268722i | 0.777966 | − | 0.628307i | \(-0.216252\pi\) |
−0.933112 | + | 0.359585i | \(0.882918\pi\) | |||||||
\(174\) | −2.40328 | + | 2.40328i | −0.182192 | + | 0.182192i | ||||
\(175\) | 0.114009 | − | 0.344982i | 0.00861826 | − | 0.0260782i | ||||
\(176\) | 12.7605 | − | 12.7605i | 0.961855 | − | 0.961855i | ||||
\(177\) | −1.22637 | − | 0.328604i | −0.0921792 | − | 0.0246994i | ||||
\(178\) | −27.9451 | − | 16.1341i | −2.09458 | − | 1.20930i | ||||
\(179\) | −6.64974 | − | 3.83923i | −0.497025 | − | 0.286958i | 0.230459 | − | 0.973082i | \(-0.425977\pi\) |
−0.727484 | + | 0.686124i | \(0.759311\pi\) | |||||||
\(180\) | 0.668797 | − | 2.49598i | 0.0498492 | − | 0.186040i | ||||
\(181\) | 17.2079 | 1.27905 | 0.639525 | − | 0.768770i | \(-0.279131\pi\) | ||||
0.639525 | + | 0.768770i | \(0.279131\pi\) | |||||||
\(182\) | 6.47309 | + | 15.6155i | 0.479817 | + | 1.15750i | ||||
\(183\) | 9.37384 | 0.692934 | ||||||||
\(184\) | 1.15733 | − | 4.31923i | 0.0853198 | − | 0.318418i | ||||
\(185\) | −10.8991 | − | 6.29258i | −0.801316 | − | 0.462640i | ||||
\(186\) | 4.19948 | + | 2.42457i | 0.307921 | + | 0.177778i | ||||
\(187\) | 17.8074 | + | 4.77147i | 1.30220 | + | 0.348924i | ||||
\(188\) | 4.83455 | − | 4.83455i | 0.352596 | − | 0.352596i | ||||
\(189\) | 2.59066 | − | 0.537086i | 0.188443 | − | 0.0390673i | ||||
\(190\) | 8.58067 | − | 8.58067i | 0.622507 | − | 0.622507i | ||||
\(191\) | 13.5621 | + | 23.4903i | 0.981320 | + | 1.69970i | 0.657269 | + | 0.753656i | \(0.271712\pi\) |
0.324051 | + | 0.946040i | \(0.394955\pi\) | |||||||
\(192\) | −0.138723 | + | 0.240275i | −0.0100115 | + | 0.0173404i | ||||
\(193\) | −6.29609 | − | 23.4973i | −0.453202 | − | 1.69137i | −0.693320 | − | 0.720630i | \(-0.743853\pi\) |
0.240117 | − | 0.970744i | \(-0.422814\pi\) | |||||||
\(194\) | −12.6435 | − | 21.8992i | −0.907752 | − | 1.57227i | ||||
\(195\) | −2.68717 | + | 7.71780i | −0.192432 | + | 0.552683i | ||||
\(196\) | 7.92796 | + | 0.913814i | 0.566283 | + | 0.0652725i | ||||
\(197\) | 2.73114 | + | 2.73114i | 0.194586 | + | 0.194586i | 0.797674 | − | 0.603088i | \(-0.206063\pi\) |
−0.603088 | + | 0.797674i | \(0.706063\pi\) | |||||||
\(198\) | −3.21039 | − | 5.56056i | −0.228152 | − | 0.395172i | ||||
\(199\) | −9.15034 | + | 15.8489i | −0.648650 | + | 1.12350i | 0.334795 | + | 0.942291i | \(0.391333\pi\) |
−0.983445 | + | 0.181205i | \(0.942000\pi\) | |||||||
\(200\) | −0.202132 | + | 0.0541610i | −0.0142929 | + | 0.00382976i | ||||
\(201\) | 7.63042 | + | 2.04457i | 0.538209 | + | 0.144213i | ||||
\(202\) | −6.03772 | − | 6.03772i | −0.424813 | − | 0.424813i | ||||
\(203\) | −1.03014 | − | 4.96892i | −0.0723014 | − | 0.348750i | ||||
\(204\) | −5.80052 | −0.406117 | ||||||||
\(205\) | 14.5218 | − | 8.38418i | 1.01425 | − | 0.585576i | ||||
\(206\) | 20.9988 | − | 5.62661i | 1.46306 | − | 0.392025i | ||||
\(207\) | −2.54131 | − | 1.46723i | −0.176633 | − | 0.101979i | ||||
\(208\) | 10.0926 | − | 14.8524i | 0.699793 | − | 1.02983i | ||||
\(209\) | − | 10.9475i | − | 0.757257i | ||||||
\(210\) | 7.07073 | + | 7.93256i | 0.487927 | + | 0.547398i | ||||
\(211\) | −6.52728 | −0.449357 | −0.224678 | − | 0.974433i | \(-0.572133\pi\) | ||||
−0.224678 | + | 0.974433i | \(0.572133\pi\) | |||||||
\(212\) | −11.3337 | + | 6.54352i | −0.778403 | + | 0.449411i | ||||
\(213\) | 0.676108 | + | 2.52327i | 0.0463261 | + | 0.172892i | ||||
\(214\) | 21.4437 | − | 5.74581i | 1.46586 | − | 0.392775i | ||||
\(215\) | 2.94399 | − | 10.9871i | 0.200778 | − | 0.749315i | ||||
\(216\) | −1.07751 | − | 1.07751i | −0.0733151 | − | 0.0733151i | ||||
\(217\) | −6.46739 | + | 3.25452i | −0.439035 | + | 0.220931i | ||||
\(218\) | 28.0871i | 1.90230i | ||||||||
\(219\) | 9.26691 | + | 2.48306i | 0.626200 | + | 0.167790i | ||||
\(220\) | 4.68151 | − | 8.10862i | 0.315628 | − | 0.546683i | ||||
\(221\) | 18.2954 | + | 1.34257i | 1.23068 | + | 0.0903109i | ||||
\(222\) | 8.52099 | − | 4.91960i | 0.571892 | − | 0.330182i | ||||
\(223\) | −4.71162 | + | 4.71162i | −0.315513 | + | 0.315513i | −0.847041 | − | 0.531528i | \(-0.821618\pi\) |
0.531528 | + | 0.847041i | \(0.321618\pi\) | |||||||
\(224\) | −6.87141 | − | 13.6549i | −0.459115 | − | 0.912356i | ||||
\(225\) | 0.137327i | 0.00915511i | ||||||||
\(226\) | 5.99225 | − | 22.3634i | 0.398598 | − | 1.48759i | ||||
\(227\) | −1.41619 | − | 5.28529i | −0.0939959 | − | 0.350797i | 0.902869 | − | 0.429915i | \(-0.141456\pi\) |
−0.996865 | + | 0.0791175i | \(0.974790\pi\) | |||||||
\(228\) | 0.891505 | + | 3.32714i | 0.0590413 | + | 0.220345i | ||||
\(229\) | −2.86879 | + | 10.7065i | −0.189575 | + | 0.707504i | 0.804029 | + | 0.594589i | \(0.202685\pi\) |
−0.993605 | + | 0.112915i | \(0.963981\pi\) | |||||||
\(230\) | − | 11.7860i | − | 0.777143i | ||||||
\(231\) | 9.57089 | + | 0.549773i | 0.629718 | + | 0.0361724i | ||||
\(232\) | −2.06667 | + | 2.06667i | −0.135683 | + | 0.135683i | ||||
\(233\) | −12.5512 | + | 7.24643i | −0.822255 | + | 0.474729i | −0.851194 | − | 0.524852i | \(-0.824121\pi\) |
0.0289382 | + | 0.999581i | \(0.490787\pi\) | |||||||
\(234\) | −4.17504 | − | 4.83631i | −0.272931 | − | 0.316160i | ||||
\(235\) | −6.79642 | + | 11.7717i | −0.443349 | + | 0.767904i | ||||
\(236\) | 1.39813 | + | 0.374629i | 0.0910108 | + | 0.0243863i | ||||
\(237\) | 0.124214i | 0.00806856i | ||||||||
\(238\) | 13.0919 | − | 19.9399i | 0.848622 | − | 1.29251i | ||||
\(239\) | −11.7791 | − | 11.7791i | −0.761929 | − | 0.761929i | 0.214742 | − | 0.976671i | \(-0.431109\pi\) |
−0.976671 | + | 0.214742i | \(0.931109\pi\) | |||||||
\(240\) | 2.92165 | − | 10.9037i | 0.188591 | − | 0.703833i | ||||
\(241\) | 4.97562 | − | 1.33321i | 0.320508 | − | 0.0858798i | −0.0949782 | − | 0.995479i | \(-0.530278\pi\) |
0.415486 | + | 0.909600i | \(0.363611\pi\) | |||||||
\(242\) | −0.976504 | − | 3.64436i | −0.0627721 | − | 0.234268i | ||||
\(243\) | −0.866025 | + | 0.500000i | −0.0555556 | + | 0.0320750i | ||||
\(244\) | −10.6868 | −0.684151 | ||||||||
\(245\) | −15.6948 | + | 2.32455i | −1.00270 | + | 0.148510i | ||||
\(246\) | 13.1096i | 0.835841i | ||||||||
\(247\) | −2.04181 | − | 10.7005i | −0.129917 | − | 0.680856i | ||||
\(248\) | 3.61128 | + | 2.08498i | 0.229317 | + | 0.132396i | ||||
\(249\) | −13.5100 | + | 3.61999i | −0.856160 | + | 0.229407i | ||||
\(250\) | 16.9139 | − | 9.76524i | 1.06973 | − | 0.617608i | ||||
\(251\) | 3.92580 | 0.247794 | 0.123897 | − | 0.992295i | \(-0.460461\pi\) | ||||
0.123897 | + | 0.992295i | \(0.460461\pi\) | |||||||
\(252\) | −2.95352 | + | 0.612313i | −0.186054 | + | 0.0385721i | ||||
\(253\) | −7.51849 | − | 7.51849i | −0.472683 | − | 0.472683i | ||||
\(254\) | 37.6601 | + | 10.0910i | 2.36301 | + | 0.633166i | ||||
\(255\) | 11.1391 | − | 2.98471i | 0.697557 | − | 0.186910i | ||||
\(256\) | −10.0801 | + | 17.4592i | −0.630004 | + | 1.09120i | ||||
\(257\) | 12.1796 | + | 21.0957i | 0.759743 | + | 1.31591i | 0.942981 | + | 0.332845i | \(0.108009\pi\) |
−0.183238 | + | 0.983069i | \(0.558658\pi\) | |||||||
\(258\) | 6.28819 | + | 6.28819i | 0.391486 | + | 0.391486i | ||||
\(259\) | −0.842472 | + | 14.6664i | −0.0523487 | + | 0.911327i | ||||
\(260\) | 3.06354 | − | 8.79878i | 0.189993 | − | 0.545677i | ||||
\(261\) | 0.959004 | + | 1.66104i | 0.0593609 | + | 0.102816i | ||||
\(262\) | 1.57276 | + | 5.86962i | 0.0971654 | + | 0.362626i | ||||
\(263\) | −8.06588 | + | 13.9705i | −0.497364 | + | 0.861459i | −0.999995 | − | 0.00304139i | \(-0.999032\pi\) |
0.502632 | + | 0.864501i | \(0.332365\pi\) | |||||||
\(264\) | −2.76073 | − | 4.78172i | −0.169911 | − | 0.294295i | ||||
\(265\) | 18.3978 | − | 18.3978i | 1.13017 | − | 1.13017i | ||||
\(266\) | −13.4496 | − | 4.44479i | −0.824646 | − | 0.272527i | ||||
\(267\) | −12.8763 | + | 12.8763i | −0.788017 | + | 0.788017i | ||||
\(268\) | −8.69917 | − | 2.33094i | −0.531386 | − | 0.142385i | ||||
\(269\) | 6.44551 | + | 3.72132i | 0.392990 | + | 0.226893i | 0.683455 | − | 0.729993i | \(-0.260477\pi\) |
−0.290465 | + | 0.956886i | \(0.593810\pi\) | |||||||
\(270\) | −3.47831 | − | 2.00820i | −0.211683 | − | 0.122215i | ||||
\(271\) | −4.07517 | + | 15.2088i | −0.247549 | + | 0.923866i | 0.724536 | + | 0.689237i | \(0.242054\pi\) |
−0.972085 | + | 0.234629i | \(0.924613\pi\) | |||||||
\(272\) | −25.3396 | −1.53644 | ||||||||
\(273\) | 9.45745 | − | 1.24769i | 0.572391 | − | 0.0755134i | ||||
\(274\) | −0.548789 | −0.0331536 | ||||||||
\(275\) | −0.128786 | + | 0.480637i | −0.00776610 | + | 0.0289835i | ||||
\(276\) | 2.89726 | + | 1.67273i | 0.174394 | + | 0.100687i | ||||
\(277\) | 23.0773 | + | 13.3237i | 1.38658 | + | 0.800544i | 0.992928 | − | 0.118714i | \(-0.0378772\pi\) |
0.393655 | + | 0.919258i | \(0.371211\pi\) | |||||||
\(278\) | −22.9734 | − | 6.15569i | −1.37785 | − | 0.369194i | ||||
\(279\) | 1.93500 | − | 1.93500i | 0.115845 | − | 0.115845i | ||||
\(280\) | 6.08038 | + | 6.82149i | 0.363372 | + | 0.407662i | ||||
\(281\) | −2.85279 | + | 2.85279i | −0.170183 | + | 0.170183i | −0.787060 | − | 0.616877i | \(-0.788398\pi\) |
0.616877 | + | 0.787060i | \(0.288398\pi\) | |||||||
\(282\) | −5.31350 | − | 9.20325i | −0.316414 | − | 0.548046i | ||||
\(283\) | 3.55154 | − | 6.15144i | 0.211117 | − | 0.365665i | −0.740947 | − | 0.671563i | \(-0.765623\pi\) |
0.952064 | + | 0.305898i | \(0.0989566\pi\) | |||||||
\(284\) | −0.770806 | − | 2.87669i | −0.0457389 | − | 0.170700i | ||||
\(285\) | −3.42402 | − | 5.93058i | −0.202822 | − | 0.351297i | ||||
\(286\) | −10.0769 | − | 20.8423i | −0.595859 | − | 1.23243i | ||||
\(287\) | −16.3621 | − | 10.7428i | −0.965824 | − | 0.634128i | ||||
\(288\) | 4.08545 | + | 4.08545i | 0.240737 | + | 0.240737i | ||||
\(289\) | −4.44330 | − | 7.69602i | −0.261371 | − | 0.452707i | ||||
\(290\) | −3.85175 | + | 6.67143i | −0.226183 | + | 0.391760i | ||||
\(291\) | −13.7839 | + | 3.69339i | −0.808028 | + | 0.216510i | ||||
\(292\) | −10.5649 | − | 2.83085i | −0.618262 | − | 0.165663i | ||||
\(293\) | 10.9108 | + | 10.9108i | 0.637415 | + | 0.637415i | 0.949917 | − | 0.312502i | \(-0.101167\pi\) |
−0.312502 | + | 0.949917i | \(0.601167\pi\) | |||||||
\(294\) | 4.56128 | − | 11.5351i | 0.266019 | − | 0.672739i | ||||
\(295\) | −2.87769 | −0.167546 | ||||||||
\(296\) | 7.32751 | − | 4.23054i | 0.425903 | − | 0.245895i | ||||
\(297\) | −3.49995 | + | 0.937810i | −0.203088 | + | 0.0544172i | ||||
\(298\) | −20.5213 | − | 11.8480i | −1.18877 | − | 0.686335i | ||||
\(299\) | −8.75109 | − | 5.94656i | −0.506089 | − | 0.343899i | ||||
\(300\) | − | 0.156561i | − | 0.00903906i | ||||||
\(301\) | −13.0012 | + | 2.69535i | −0.749375 | + | 0.155357i | ||||
\(302\) | −15.3784 | −0.884926 | ||||||||
\(303\) | −4.17301 | + | 2.40929i | −0.239733 | + | 0.138410i | ||||
\(304\) | 3.89455 | + | 14.5347i | 0.223368 | + | 0.833619i | ||||
\(305\) | 20.5225 | − | 5.49898i | 1.17511 | − | 0.314871i | ||||
\(306\) | −2.33347 | + | 8.70864i | −0.133396 | + | 0.497840i | ||||
\(307\) | −14.8240 | − | 14.8240i | −0.846052 | − | 0.846052i | 0.143586 | − | 0.989638i | \(-0.454137\pi\) |
−0.989638 | + | 0.143586i | \(0.954137\pi\) | |||||||
\(308\) | −10.9114 | − | 0.626777i | −0.621736 | − | 0.0357139i | ||||
\(309\) | − | 12.2682i | − | 0.697915i | ||||||
\(310\) | 10.6164 | + | 2.84466i | 0.602971 | + | 0.161566i | ||||
\(311\) | 8.51144 | − | 14.7422i | 0.482639 | − | 0.835956i | −0.517162 | − | 0.855887i | \(-0.673012\pi\) |
0.999801 | + | 0.0199318i | \(0.00634490\pi\) | |||||||
\(312\) | −3.59026 | − | 4.15892i | −0.203259 | − | 0.235452i | ||||
\(313\) | −5.68454 | + | 3.28197i | −0.321309 | + | 0.185508i | −0.651976 | − | 0.758240i | \(-0.726060\pi\) |
0.330667 | + | 0.943748i | \(0.392726\pi\) | |||||||
\(314\) | 10.2401 | − | 10.2401i | 0.577884 | − | 0.577884i | ||||
\(315\) | 5.35676 | − | 2.69562i | 0.301819 | − | 0.151881i | ||||
\(316\) | − | 0.141612i | − | 0.00796628i | ||||||
\(317\) | 2.94213 | − | 10.9802i | 0.165246 | − | 0.616708i | −0.832762 | − | 0.553631i | \(-0.813242\pi\) |
0.998009 | − | 0.0630769i | \(-0.0200914\pi\) | |||||||
\(318\) | 5.26475 | + | 19.6483i | 0.295233 | + | 1.10182i | ||||
\(319\) | 1.79873 | + | 6.71294i | 0.100709 | + | 0.375853i | ||||
\(320\) | −0.162758 | + | 0.607422i | −0.00909846 | + | 0.0339559i | ||||
\(321\) | − | 12.5281i | − | 0.699251i | ||||||
\(322\) | −12.2894 | + | 6.18425i | −0.684861 | + | 0.344635i | ||||
\(323\) | −10.8698 | + | 10.8698i | −0.604811 | + | 0.604811i | ||||
\(324\) | 0.987324 | − | 0.570032i | 0.0548514 | − | 0.0316684i | ||||
\(325\) | −0.0362371 | + | 0.493810i | −0.00201007 | + | 0.0273917i | ||||
\(326\) | 16.5221 | − | 28.6172i | 0.915077 | − | 1.58496i | ||||
\(327\) | 15.3102 | + | 4.10237i | 0.846658 | + | 0.226861i | ||||
\(328\) | 11.2735i | 0.622473i | ||||||||
\(329\) | 15.8407 | + | 0.909927i | 0.873328 | + | 0.0501659i | ||||
\(330\) | −10.2906 | − | 10.2906i | −0.566480 | − | 0.566480i | ||||
\(331\) | −2.45215 | + | 9.15154i | −0.134782 | + | 0.503014i | 0.865216 | + | 0.501398i | \(0.167181\pi\) |
−0.999999 | + | 0.00161559i | \(0.999486\pi\) | |||||||
\(332\) | 15.4022 | − | 4.12702i | 0.845307 | − | 0.226499i | ||||
\(333\) | −1.43710 | − | 5.36332i | −0.0787525 | − | 0.293908i | ||||
\(334\) | 7.61413 | − | 4.39602i | 0.416626 | − | 0.240539i | ||||
\(335\) | 17.9050 | 0.978253 | ||||||||
\(336\) | −12.9025 | + | 2.67489i | −0.703889 | + | 0.145927i | ||||
\(337\) | − | 1.43236i | − | 0.0780257i | −0.999239 | − | 0.0390128i | \(-0.987579\pi\) | ||
0.999239 | − | 0.0390128i | \(-0.0124213\pi\) | |||||||
\(338\) | −13.7368 | − | 18.4925i | −0.747181 | − | 1.00586i | ||||
\(339\) | −11.3150 | − | 6.53272i | −0.614547 | − | 0.354809i | ||||
\(340\) | −12.6993 | + | 3.40276i | −0.688715 | + | 0.184541i | ||||
\(341\) | 8.58706 | − | 4.95774i | 0.465016 | − | 0.268477i | ||||
\(342\) | 5.35386 | 0.289504 | ||||||||
\(343\) | 10.6591 | + | 15.1454i | 0.575537 | + | 0.817776i | ||||
\(344\) | 5.40744 | + | 5.40744i | 0.291550 | + | 0.291550i | ||||
\(345\) | −6.42450 | − | 1.72144i | −0.345884 | − | 0.0926792i | ||||
\(346\) | 6.98568 | − | 1.87181i | 0.375553 | − | 0.100629i | ||||
\(347\) | −10.2318 | + | 17.7220i | −0.549272 | + | 0.951367i | 0.449053 | + | 0.893505i | \(0.351761\pi\) |
−0.998325 | + | 0.0578614i | \(0.981572\pi\) | |||||||
\(348\) | −1.09333 | − | 1.89370i | −0.0586084 | − | 0.101513i | ||||
\(349\) | −10.1977 | − | 10.1977i | −0.545871 | − | 0.545871i | 0.379373 | − | 0.925244i | \(-0.376140\pi\) |
−0.925244 | + | 0.379373i | \(0.876140\pi\) | |||||||
\(350\) | 0.538197 | + | 0.353362i | 0.0287678 | + | 0.0188880i | ||||
\(351\) | −3.24606 | + | 1.56942i | −0.173262 | + | 0.0837694i | ||||
\(352\) | 10.4675 | + | 18.1303i | 0.557920 | + | 0.966346i | ||||
\(353\) | 3.02548 | + | 11.2913i | 0.161030 | + | 0.600973i | 0.998513 | + | 0.0545096i | \(0.0173596\pi\) |
−0.837483 | + | 0.546463i | \(0.815974\pi\) | |||||||
\(354\) | 1.12490 | − | 1.94839i | 0.0597879 | − | 0.103556i | ||||
\(355\) | 2.96045 | + | 5.12766i | 0.157125 | + | 0.272148i | ||||
\(356\) | 14.6798 | − | 14.6798i | 0.778028 | − | 0.778028i | ||||
\(357\) | −8.95703 | − | 10.0488i | −0.474056 | − | 0.531837i | ||||
\(358\) | 9.62118 | − | 9.62118i | 0.508495 | − | 0.508495i | ||||
\(359\) | −0.636918 | − | 0.170662i | −0.0336153 | − | 0.00900718i | 0.241972 | − | 0.970283i | \(-0.422206\pi\) |
−0.275587 | + | 0.961276i | \(0.588872\pi\) | |||||||
\(360\) | −2.99113 | − | 1.72693i | −0.157646 | − | 0.0910170i | ||||
\(361\) | −8.54903 | − | 4.93578i | −0.449949 | − | 0.259778i | ||||
\(362\) | −7.89209 | + | 29.4537i | −0.414799 | + | 1.54805i | ||||
\(363\) | −2.12916 | −0.111752 | ||||||||
\(364\) | −10.7821 | + | 1.42244i | −0.565135 | + | 0.0745562i | ||||
\(365\) | 21.7450 | 1.13819 | ||||||||
\(366\) | −4.29915 | + | 16.0447i | −0.224720 | + | 0.838668i | ||||
\(367\) | 23.2715 | + | 13.4358i | 1.21476 | + | 0.701344i | 0.963793 | − | 0.266651i | \(-0.0859171\pi\) |
0.250970 | + | 0.967995i | \(0.419250\pi\) | |||||||
\(368\) | 12.6567 | + | 7.30735i | 0.659776 | + | 0.380922i | ||||
\(369\) | 7.14604 | + | 1.91478i | 0.372008 | + | 0.0996793i | ||||
\(370\) | 15.7693 | − | 15.7693i | 0.819808 | − | 0.819808i | ||||
\(371\) | −28.8372 | − | 9.53007i | −1.49715 | − | 0.494776i | ||||
\(372\) | −2.20602 | + | 2.20602i | −0.114377 | + | 0.114377i | ||||
\(373\) | 13.7930 | + | 23.8902i | 0.714175 | + | 1.23699i | 0.963277 | + | 0.268510i | \(0.0865314\pi\) |
−0.249102 | + | 0.968477i | \(0.580135\pi\) | |||||||
\(374\) | −16.3341 | + | 28.2915i | −0.844616 | + | 1.46292i | ||||
\(375\) | −2.85259 | − | 10.6460i | −0.147307 | − | 0.549758i | ||||
\(376\) | −4.56927 | − | 7.91421i | −0.235642 | − | 0.408144i | ||||
\(377\) | 3.01016 | + | 6.22598i | 0.155031 | + | 0.320654i | ||||
\(378\) | −0.268865 | + | 4.68062i | −0.0138289 | + | 0.240745i | ||||
\(379\) | −8.26226 | − | 8.26226i | −0.424404 | − | 0.424404i | 0.462313 | − | 0.886717i | \(-0.347020\pi\) |
−0.886717 | + | 0.462313i | \(0.847020\pi\) | |||||||
\(380\) | 3.90361 | + | 6.76124i | 0.200251 | + | 0.346844i | ||||
\(381\) | 11.0012 | − | 19.0546i | 0.563607 | − | 0.976196i | ||||
\(382\) | −46.4270 | + | 12.4401i | −2.37541 | + | 0.636489i | ||||
\(383\) | −5.50484 | − | 1.47502i | −0.281284 | − | 0.0753698i | 0.115419 | − | 0.993317i | \(-0.463179\pi\) |
−0.396703 | + | 0.917947i | \(0.629846\pi\) | |||||||
\(384\) | 7.82326 | + | 7.82326i | 0.399229 | + | 0.399229i | ||||
\(385\) | 21.2764 | − | 4.41094i | 1.08435 | − | 0.224802i | ||||
\(386\) | 43.1066 | 2.19407 | ||||||||
\(387\) | 4.34612 | − | 2.50924i | 0.220926 | − | 0.127552i | ||||
\(388\) | 15.7145 | − | 4.21070i | 0.797785 | − | 0.213766i | ||||
\(389\) | −19.0861 | − | 11.0193i | −0.967702 | − | 0.558703i | −0.0691669 | − | 0.997605i | \(-0.522034\pi\) |
−0.898535 | + | 0.438902i | \(0.855367\pi\) | |||||||
\(390\) | −11.9777 | − | 8.13911i | −0.606514 | − | 0.412140i | ||||
\(391\) | 14.9302i | 0.755051i | ||||||||
\(392\) | 3.92241 | − | 9.91942i | 0.198111 | − | 0.501007i | ||||
\(393\) | 3.42923 | 0.172982 | ||||||||
\(394\) | −5.92733 | + | 3.42215i | −0.298615 | + | 0.172405i | ||||
\(395\) | 0.0728677 | + | 0.271946i | 0.00366637 | + | 0.0136831i | ||||
\(396\) | 3.99017 | − | 1.06916i | 0.200514 | − | 0.0537275i | ||||
\(397\) | −4.36019 | + | 16.2724i | −0.218832 | + | 0.816691i | 0.765951 | + | 0.642899i | \(0.222269\pi\) |
−0.984782 | + | 0.173792i | \(0.944398\pi\) | |||||||
\(398\) | −22.9309 | − | 22.9309i | −1.14942 | − | 1.14942i | ||||
\(399\) | −4.38727 | + | 6.68213i | −0.219638 | + | 0.334525i | ||||
\(400\) | − | 0.683939i | − | 0.0341970i | ||||||
\(401\) | −18.9983 | − | 5.09058i | −0.948729 | − | 0.254211i | −0.248906 | − | 0.968528i | \(-0.580071\pi\) |
−0.699823 | + | 0.714316i | \(0.746738\pi\) | |||||||
\(402\) | −6.99913 | + | 12.1229i | −0.349085 | + | 0.604633i | ||||
\(403\) | 7.46862 | − | 6.44743i | 0.372039 | − | 0.321169i | ||||
\(404\) | 4.75750 | − | 2.74674i | 0.236695 | − | 0.136656i | ||||
\(405\) | −1.60271 | + | 1.60271i | −0.0796391 | + | 0.0796391i | ||||
\(406\) | 8.97746 | + | 0.515686i | 0.445544 | + | 0.0255930i | ||||
\(407\) | − | 20.1191i | − | 0.997267i | ||||||
\(408\) | −2.00664 | + | 7.48888i | −0.0993434 | + | 0.370755i | ||||
\(409\) | 3.88917 | + | 14.5146i | 0.192307 | + | 0.717701i | 0.992947 | + | 0.118555i | \(0.0378262\pi\) |
−0.800640 | + | 0.599145i | \(0.795507\pi\) | |||||||
\(410\) | 7.69052 | + | 28.7014i | 0.379808 | + | 1.41746i | ||||
\(411\) | −0.0801554 | + | 0.299144i | −0.00395377 | + | 0.0147557i | ||||
\(412\) | 13.9866i | 0.689068i | ||||||||
\(413\) | 1.50996 | + | 3.00061i | 0.0743005 | + | 0.147650i | ||||
\(414\) | 3.67690 | − | 3.67690i | 0.180710 | − | 0.180710i | ||||
\(415\) | −27.4543 | + | 15.8507i | −1.34768 | + | 0.778082i | ||||
\(416\) | 13.6127 | + | 15.7688i | 0.667420 | + | 0.773131i | ||||
\(417\) | −6.71091 | + | 11.6236i | −0.328635 | + | 0.569212i | ||||
\(418\) | 18.7383 | + | 5.02091i | 0.916519 | + | 0.245581i | ||||
\(419\) | 10.7242i | 0.523913i | 0.965080 | + | 0.261957i | \(0.0843677\pi\) | ||||
−0.965080 | + | 0.261957i | \(0.915632\pi\) | |||||||
\(420\) | −6.10705 | + | 3.07318i | −0.297994 | + | 0.149956i | ||||
\(421\) | 22.8079 | + | 22.8079i | 1.11159 | + | 1.11159i | 0.992936 | + | 0.118655i | \(0.0378581\pi\) |
0.118655 | + | 0.992936i | \(0.462142\pi\) | |||||||
\(422\) | 2.99363 | − | 11.1724i | 0.145728 | − | 0.543862i | ||||
\(423\) | −5.79276 | + | 1.55216i | −0.281653 | + | 0.0754688i | ||||
\(424\) | 4.52735 | + | 16.8963i | 0.219867 | + | 0.820557i | ||||
\(425\) | 0.605094 | − | 0.349351i | 0.0293514 | − | 0.0169460i | ||||
\(426\) | −4.62902 | −0.224277 | ||||||||
\(427\) | −16.5023 | − | 18.5137i | −0.798602 | − | 0.895940i | ||||
\(428\) | 14.2829i | 0.690388i | ||||||||
\(429\) | −12.8329 | + | 2.44870i | −0.619578 | + | 0.118224i | ||||
\(430\) | 17.4558 | + | 10.0781i | 0.841794 | + | 0.486010i | ||||
\(431\) | −32.2071 | + | 8.62988i | −1.55136 | + | 0.415687i | −0.929917 | − | 0.367770i | \(-0.880121\pi\) |
−0.621446 | + | 0.783457i | \(0.713455\pi\) | |||||||
\(432\) | 4.31314 | − | 2.49019i | 0.207516 | − | 0.119809i | ||||
\(433\) | −21.1555 | −1.01667 | −0.508333 | − | 0.861161i | \(-0.669738\pi\) | ||||
−0.508333 | + | 0.861161i | \(0.669738\pi\) | |||||||
\(434\) | −2.60441 | − | 12.5625i | −0.125015 | − | 0.603019i | ||||
\(435\) | 3.07400 | + | 3.07400i | 0.147387 | + | 0.147387i | ||||
\(436\) | −17.4547 | − | 4.67696i | −0.835926 | − | 0.223986i | ||||
\(437\) | 8.56385 | − | 2.29468i | 0.409664 | − | 0.109769i | ||||
\(438\) | −8.50023 | + | 14.7228i | −0.406157 | + | 0.703484i | ||||
\(439\) | 15.5445 | + | 26.9239i | 0.741898 | + | 1.28501i | 0.951630 | + | 0.307246i | \(0.0994076\pi\) |
−0.209732 | + | 0.977759i | \(0.567259\pi\) | |||||||
\(440\) | −8.84927 | − | 8.84927i | −0.421872 | − | 0.421872i | ||||
\(441\) | −5.62153 | − | 4.17114i | −0.267692 | − | 0.198626i | ||||
\(442\) | −10.6889 | + | 30.6995i | −0.508419 | + | 1.46023i | ||||
\(443\) | −1.54381 | − | 2.67396i | −0.0733486 | − | 0.127044i | 0.827018 | − | 0.562175i | \(-0.190035\pi\) |
−0.900367 | + | 0.435131i | \(0.856702\pi\) | |||||||
\(444\) | 1.63838 | + | 6.11453i | 0.0777543 | + | 0.290183i | ||||
\(445\) | −20.6369 | + | 35.7442i | −0.978283 | + | 1.69444i | ||||
\(446\) | −5.90370 | − | 10.2255i | −0.279548 | − | 0.484192i | ||||
\(447\) | −9.45562 | + | 9.45562i | −0.447236 | + | 0.447236i | ||||
\(448\) | 0.718769 | − | 0.149012i | 0.0339586 | − | 0.00704017i | ||||
\(449\) | 25.4341 | − | 25.4341i | 1.20031 | − | 1.20031i | 0.226236 | − | 0.974073i | \(-0.427358\pi\) |
0.974073 | − | 0.226236i | \(-0.0726420\pi\) | |||||||
\(450\) | −0.235054 | − | 0.0629826i | −0.0110806 | − | 0.00296903i | ||||
\(451\) | 23.2151 | + | 13.4033i | 1.09316 | + | 0.631135i | ||||
\(452\) | 12.8998 | + | 7.44772i | 0.606757 | + | 0.350311i | ||||
\(453\) | −2.24614 | + | 8.38272i | −0.105533 | + | 0.393854i | ||||
\(454\) | 9.69605 | 0.455058 | ||||||||
\(455\) | 19.9736 | − | 8.27963i | 0.936376 | − | 0.388155i | ||||
\(456\) | 4.60398 | 0.215601 | ||||||||
\(457\) | 4.93087 | − | 18.4023i | 0.230657 | − | 0.860822i | −0.749402 | − | 0.662115i | \(-0.769659\pi\) |
0.980059 | − | 0.198707i | \(-0.0636742\pi\) | |||||||
\(458\) | −17.0099 | − | 9.82070i | −0.794823 | − | 0.458891i | ||||
\(459\) | 4.40624 | + | 2.54394i | 0.205666 | + | 0.118741i | ||||
\(460\) | 7.32434 | + | 1.96255i | 0.341499 | + | 0.0915044i | ||||
\(461\) | 28.2657 | − | 28.2657i | 1.31647 | − | 1.31647i | 0.399911 | − | 0.916554i | \(-0.369041\pi\) |
0.916554 | − | 0.399911i | \(-0.130959\pi\) | |||||||
\(462\) | −5.33054 | + | 16.1298i | −0.247999 | + | 0.750426i | ||||
\(463\) | 4.16596 | − | 4.16596i | 0.193608 | − | 0.193608i | −0.603645 | − | 0.797253i | \(-0.706286\pi\) |
0.797253 | + | 0.603645i | \(0.206286\pi\) | |||||||
\(464\) | −4.77621 | − | 8.27264i | −0.221730 | − | 0.384047i | ||||
\(465\) | 3.10123 | − | 5.37149i | 0.143816 | − | 0.249097i | ||||
\(466\) | −6.64691 | − | 24.8066i | −0.307912 | − | 1.14914i | ||||
\(467\) | 11.5744 | + | 20.0474i | 0.535598 | + | 0.927683i | 0.999134 | + | 0.0416048i | \(0.0132470\pi\) |
−0.463536 | + | 0.886078i | \(0.653420\pi\) | |||||||
\(468\) | 3.70072 | − | 1.78924i | 0.171066 | − | 0.0827075i | ||||
\(469\) | −9.39498 | − | 18.6698i | −0.433820 | − | 0.862089i | ||||
\(470\) | −17.0319 | − | 17.0319i | −0.785625 | − | 0.785625i | ||||
\(471\) | −4.08622 | − | 7.07753i | −0.188283 | − | 0.326116i | ||||
\(472\) | 0.967345 | − | 1.67549i | 0.0445257 | − | 0.0771207i | ||||
\(473\) | 17.5644 | − | 4.70637i | 0.807613 | − | 0.216399i | ||||
\(474\) | −0.212610 | − | 0.0569686i | −0.00976549 | − | 0.00261665i | ||||
\(475\) | −0.293385 | − | 0.293385i | −0.0134614 | − | 0.0134614i | ||||
\(476\) | 10.2116 | + | 11.4562i | 0.468048 | + | 0.525096i | ||||
\(477\) | 11.4792 | 0.525597 | ||||||||
\(478\) | 25.5640 | − | 14.7594i | 1.16927 | − | 0.675078i | ||||
\(479\) | 22.5158 | − | 6.03309i | 1.02877 | − | 0.275659i | 0.295319 | − | 0.955399i | \(-0.404574\pi\) |
0.733453 | + | 0.679740i | \(0.237907\pi\) | |||||||
\(480\) | 11.3411 | + | 6.54777i | 0.517647 | + | 0.298863i | ||||
\(481\) | −3.75239 | − | 19.6651i | −0.171094 | − | 0.896651i | ||||
\(482\) | 9.12794i | 0.415766i | ||||||||
\(483\) | 1.57605 | + | 7.60218i | 0.0717129 | + | 0.345911i | ||||
\(484\) | 2.42738 | 0.110335 | ||||||||
\(485\) | −28.0110 | + | 16.1721i | −1.27191 | + | 0.734339i | ||||
\(486\) | −0.458633 | − | 1.71164i | −0.0208040 | − | 0.0776417i | ||||
\(487\) | 27.4535 | − | 7.35613i | 1.24403 | − | 0.333338i | 0.424006 | − | 0.905660i | \(-0.360624\pi\) |
0.820029 | + | 0.572321i | \(0.193957\pi\) | |||||||
\(488\) | −3.69700 | + | 13.7974i | −0.167355 | + | 0.624578i | ||||
\(489\) | −13.1860 | − | 13.1860i | −0.596290 | − | 0.596290i | ||||
\(490\) | 3.21934 | − | 27.9299i | 0.145435 | − | 1.26175i | ||||
\(491\) | − | 27.8408i | − | 1.25644i | −0.778036 | − | 0.628220i | \(-0.783784\pi\) | ||
0.778036 | − | 0.628220i | \(-0.216216\pi\) | |||||||
\(492\) | −8.14694 | − | 2.18297i | −0.367293 | − | 0.0984158i | ||||
\(493\) | 4.87931 | − | 8.45121i | 0.219753 | − | 0.380623i | ||||
\(494\) | 19.2519 | + | 1.41275i | 0.866182 | + | 0.0635627i | ||||
\(495\) | −7.11243 | + | 4.10636i | −0.319680 | + | 0.184567i | ||||
\(496\) | −9.63703 | + | 9.63703i | −0.432715 | + | 0.432715i | ||||
\(497\) | 3.79329 | − | 5.77746i | 0.170152 | − | 0.259154i | ||||
\(498\) | − | 24.7845i | − | 1.11062i | ||||||
\(499\) | 0.886008 | − | 3.30663i | 0.0396632 | − | 0.148025i | −0.943255 | − | 0.332071i | \(-0.892253\pi\) |
0.982918 | + | 0.184046i | \(0.0589194\pi\) | |||||||
\(500\) | 3.25214 | + | 12.1371i | 0.145440 | + | 0.542790i | ||||
\(501\) | −1.28415 | − | 4.79252i | −0.0573717 | − | 0.214114i | ||||
\(502\) | −1.80050 | + | 6.71957i | −0.0803604 | + | 0.299909i | ||||
\(503\) | 13.4085i | 0.597854i | 0.954276 | + | 0.298927i | \(0.0966287\pi\) | ||||
−0.954276 | + | 0.298927i | \(0.903371\pi\) | |||||||
\(504\) | −0.231207 | + | 4.02503i | −0.0102988 | + | 0.179289i | ||||
\(505\) | −7.72276 | + | 7.72276i | −0.343658 | + | 0.343658i | ||||
\(506\) | 16.3172 | − | 9.42074i | 0.725388 | − | 0.418803i | ||||
\(507\) | −12.0866 | + | 4.78689i | −0.536784 | + | 0.212593i | ||||
\(508\) | −12.5420 | + | 21.7234i | −0.556463 | + | 0.963822i | ||||
\(509\) | −36.3876 | − | 9.75003i | −1.61285 | − | 0.432163i | −0.663962 | − | 0.747767i | \(-0.731126\pi\) |
−0.948891 | + | 0.315604i | \(0.897793\pi\) | |||||||
\(510\) | 20.4350i | 0.904879i | ||||||||
\(511\) | −11.4099 | − | 22.6738i | −0.504745 | − | 1.00303i | ||||
\(512\) | −9.61430 | − | 9.61430i | −0.424896 | − | 0.424896i | ||||
\(513\) | 0.781978 | − | 2.91838i | 0.0345252 | − | 0.128850i | ||||
\(514\) | −41.6943 | + | 11.1719i | −1.83906 | + | 0.492773i | ||||
\(515\) | −7.19692 | − | 26.8593i | −0.317134 | − | 1.18356i | ||||
\(516\) | −4.95486 | + | 2.86069i | −0.218125 | + | 0.125935i | ||||
\(517\) | −21.7300 | −0.955685 | ||||||||
\(518\) | −24.7173 | − | 8.16852i | −1.08601 | − | 0.358904i | ||||
\(519\) | − | 4.08127i | − | 0.179148i | ||||||
\(520\) | −10.3000 | − | 6.99911i | −0.451687 | − | 0.306931i | ||||
\(521\) | 18.9751 | + | 10.9553i | 0.831312 | + | 0.479958i | 0.854302 | − | 0.519777i | \(-0.173985\pi\) |
−0.0229895 | + | 0.999736i | \(0.507318\pi\) | |||||||
\(522\) | −3.28295 | + | 0.879663i | −0.143691 | + | 0.0385018i | ||||
\(523\) | 17.4140 | − | 10.0540i | 0.761460 | − | 0.439629i | −0.0683599 | − | 0.997661i | \(-0.521777\pi\) |
0.829820 | + | 0.558032i | \(0.188443\pi\) | |||||||
\(524\) | −3.90954 | −0.170789 | ||||||||
\(525\) | 0.271225 | − | 0.241758i | 0.0118372 | − | 0.0105512i | ||||
\(526\) | −20.2133 | − | 20.2133i | −0.881340 | − | 0.881340i | ||||
\(527\) | −13.4486 | − | 3.60354i | −0.585830 | − | 0.156973i | ||||
\(528\) | 17.4311 | − | 4.67065i | 0.758591 | − | 0.203264i | ||||
\(529\) | −7.19449 | + | 12.4612i | −0.312804 | + | 0.541793i | ||||
\(530\) | 23.0526 | + | 39.9283i | 1.00134 | + | 1.73437i | ||||
\(531\) | −0.897762 | − | 0.897762i | −0.0389595 | − | 0.0389595i | ||||
\(532\) | 5.00177 | − | 7.61806i | 0.216854 | − | 0.330285i | ||||
\(533\) | 25.1911 | + | 8.77097i | 1.09115 | + | 0.379913i | ||||
\(534\) | −16.1341 | − | 27.9451i | −0.698192 | − | 1.20930i | ||||
\(535\) | −7.34938 | − | 27.4283i | −0.317741 | − | 1.18583i | ||||
\(536\) | −6.01880 | + | 10.4249i | −0.259973 | + | 0.450286i | ||||
\(537\) | −3.83923 | − | 6.64974i | −0.165675 | − | 0.286958i | ||||
\(538\) | −9.32569 | + | 9.32569i | −0.402059 | + | 0.402059i | ||||
\(539\) | −15.7634 | − | 19.8707i | −0.678976 | − | 0.855892i | ||||
\(540\) | 1.82719 | − | 1.82719i | 0.0786296 | − | 0.0786296i | ||||
\(541\) | −17.0494 | − | 4.56838i | −0.733013 | − | 0.196410i | −0.127042 | − | 0.991897i | \(-0.540548\pi\) |
−0.605970 | + | 0.795487i | \(0.707215\pi\) | |||||||
\(542\) | −24.1629 | − | 13.9505i | −1.03789 | − | 0.599224i | ||||
\(543\) | 14.9024 | + | 8.60393i | 0.639525 | + | 0.369230i | ||||
\(544\) | 7.60832 | − | 28.3946i | 0.326204 | − | 1.21741i | ||||
\(545\) | 35.9258 | 1.53889 | ||||||||
\(546\) | −2.20191 | + | 16.7600i | −0.0942329 | + | 0.717262i | ||||
\(547\) | −43.6870 | −1.86792 | −0.933960 | − | 0.357378i | \(-0.883671\pi\) | ||||
−0.933960 | + | 0.357378i | \(0.883671\pi\) | |||||||
\(548\) | 0.0913823 | − | 0.341043i | 0.00390366 | − | 0.0145686i | ||||
\(549\) | 8.11798 | + | 4.68692i | 0.346467 | + | 0.200033i | ||||
\(550\) | −0.763613 | − | 0.440872i | −0.0325606 | − | 0.0187988i | ||||
\(551\) | −5.59748 | − | 1.49984i | −0.238461 | − | 0.0638953i | ||||
\(552\) | 3.16190 | − | 3.16190i | 0.134579 | − | 0.134579i | ||||
\(553\) | 0.245327 | − | 0.218674i | 0.0104324 | − | 0.00929895i | ||||
\(554\) | −33.3895 | + | 33.3895i | −1.41858 | + | 1.41858i | ||||
\(555\) | −6.29258 | − | 10.8991i | −0.267105 | − | 0.462640i | ||||
\(556\) | 7.65087 | − | 13.2517i | 0.324469 | − | 0.561997i | ||||
\(557\) | −1.27518 | − | 4.75904i | −0.0540311 | − | 0.201647i | 0.933634 | − | 0.358229i | \(-0.116619\pi\) |
−0.987665 | + | 0.156582i | \(0.949953\pi\) | |||||||
\(558\) | 2.42457 | + | 4.19948i | 0.102640 | + | 0.177778i | ||||
\(559\) | 16.2903 | − | 7.87608i | 0.689005 | − | 0.333123i | ||||
\(560\) | −26.6787 | + | 13.4252i | −1.12738 | + | 0.567320i | ||||
\(561\) | 13.0359 | + | 13.0359i | 0.550376 | + | 0.550376i | ||||
\(562\) | −3.57457 | − | 6.19134i | −0.150784 | − | 0.261166i | ||||
\(563\) | 4.07456 | − | 7.05734i | 0.171722 | − | 0.297431i | −0.767300 | − | 0.641288i | \(-0.778400\pi\) |
0.939022 | + | 0.343857i | \(0.111734\pi\) | |||||||
\(564\) | 6.60411 | − | 1.76957i | 0.278083 | − | 0.0745122i | ||||
\(565\) | −28.6046 | − | 7.66459i | −1.20341 | − | 0.322452i | ||||
\(566\) | 8.90022 | + | 8.90022i | 0.374104 | + | 0.374104i | ||||
\(567\) | 2.51212 | + | 0.830202i | 0.105499 | + | 0.0348652i | ||||
\(568\) | −3.98066 | −0.167025 | ||||||||
\(569\) | 9.83064 | − | 5.67572i | 0.412122 | − | 0.237939i | −0.279579 | − | 0.960123i | \(-0.590195\pi\) |
0.691701 | + | 0.722184i | \(0.256862\pi\) | |||||||
\(570\) | 11.7214 | − | 3.14074i | 0.490956 | − | 0.131551i | ||||
\(571\) | 6.99013 | + | 4.03575i | 0.292528 | + | 0.168891i | 0.639081 | − | 0.769139i | \(-0.279315\pi\) |
−0.346553 | + | 0.938030i | \(0.612648\pi\) | |||||||
\(572\) | 14.6303 | − | 2.79168i | 0.611724 | − | 0.116726i | ||||
\(573\) | 27.1242i | 1.13313i | ||||||||
\(574\) | 25.8920 | − | 23.0790i | 1.08071 | − | 0.963300i | ||||
\(575\) | −0.402979 | −0.0168054 | ||||||||
\(576\) | −0.240275 | + | 0.138723i | −0.0100115 | + | 0.00578012i | ||||
\(577\) | −8.07796 | − | 30.1474i | −0.336290 | − | 1.25505i | −0.902464 | − | 0.430765i | \(-0.858244\pi\) |
0.566174 | − | 0.824286i | \(-0.308423\pi\) | |||||||
\(578\) | 15.2107 | − | 4.07569i | 0.632681 | − | 0.169526i | ||||
\(579\) | 6.29609 | − | 23.4973i | 0.261656 | − | 0.976515i | ||||
\(580\) | −3.50456 | − | 3.50456i | −0.145519 | − | 0.145519i | ||||
\(581\) | 30.9334 | + | 20.3099i | 1.28333 | + | 0.842595i | ||||
\(582\) | − | 25.2870i | − | 1.04818i | ||||||
\(583\) | 40.1767 | + | 10.7653i | 1.66395 | + | 0.445854i | ||||
\(584\) | −7.30965 | + | 12.6607i | −0.302476 | + | 0.523903i | ||||
\(585\) | −6.18605 | + | 5.34022i | −0.255762 | + | 0.220791i | ||||
\(586\) | −23.6794 | + | 13.6713i | −0.978188 | + | 0.564757i | ||||
\(587\) | 9.12734 | − | 9.12734i | 0.376726 | − | 0.376726i | −0.493194 | − | 0.869919i | \(-0.664171\pi\) |
0.869919 | + | 0.493194i | \(0.164171\pi\) | |||||||
\(588\) | 6.40890 | + | 4.75536i | 0.264299 | + | 0.196108i | ||||
\(589\) | 8.26787i | 0.340672i | ||||||||
\(590\) | 1.31981 | − | 4.92558i | 0.0543355 | − | 0.202783i | ||||
\(591\) | 0.999668 | + | 3.73081i | 0.0411208 | + | 0.153465i | ||||
\(592\) | 7.15730 | + | 26.7114i | 0.294163 | + | 1.09783i | ||||
\(593\) | −11.3771 | + | 42.4600i | −0.467202 | + | 1.74362i | 0.182281 | + | 0.983247i | \(0.441652\pi\) |
−0.649483 | + | 0.760376i | \(0.725015\pi\) | |||||||
\(594\) | − | 6.42078i | − | 0.263448i | ||||||
\(595\) | −25.5049 | − | 16.7457i | −1.04560 | − | 0.686505i | ||||
\(596\) | 10.7800 | − | 10.7800i | 0.441567 | − | 0.441567i | ||||
\(597\) | −15.8489 | + | 9.15034i | −0.648650 | + | 0.374499i | ||||
\(598\) | 14.1919 | − | 12.2514i | 0.580351 | − | 0.500999i | ||||
\(599\) | −10.0938 | + | 17.4829i | −0.412420 | + | 0.714332i | −0.995154 | − | 0.0983309i | \(-0.968650\pi\) |
0.582734 | + | 0.812663i | \(0.301983\pi\) | |||||||
\(600\) | −0.202132 | − | 0.0541610i | −0.00825198 | − | 0.00221111i | ||||
\(601\) | − | 44.2929i | − | 1.80674i | −0.428857 | − | 0.903372i | \(-0.641084\pi\) | ||
0.428857 | − | 0.903372i | \(-0.358916\pi\) | |||||||
\(602\) | 1.34929 | − | 23.4895i | 0.0549930 | − | 0.957362i | ||||
\(603\) | 5.58586 | + | 5.58586i | 0.227474 | + | 0.227474i | ||||
\(604\) | 2.56075 | − | 9.55683i | 0.104195 | − | 0.388862i | ||||
\(605\) | −4.66145 | + | 1.24903i | −0.189515 | + | 0.0507803i | ||||
\(606\) | −2.20996 | − | 8.24769i | −0.0897735 | − | 0.335039i | ||||
\(607\) | 5.83160 | − | 3.36688i | 0.236697 | − | 0.136657i | −0.376960 | − | 0.926229i | \(-0.623031\pi\) |
0.613658 | + | 0.789572i | \(0.289697\pi\) | |||||||
\(608\) | −17.4563 | −0.707948 | ||||||||
\(609\) | 1.59233 | − | 4.81828i | 0.0645246 | − | 0.195246i | ||||
\(610\) | 37.6492i | 1.52437i | ||||||||
\(611\) | −21.2396 | + | 4.05284i | −0.859264 | + | 0.163960i | ||||
\(612\) | −5.02340 | − | 2.90026i | −0.203059 | − | 0.117236i | ||||
\(613\) | 21.6549 | − | 5.80243i | 0.874635 | − | 0.234358i | 0.206544 | − | 0.978437i | \(-0.433778\pi\) |
0.668091 | + | 0.744080i | \(0.267112\pi\) | |||||||
\(614\) | 32.1722 | − | 18.5746i | 1.29837 | − | 0.749612i | ||||
\(615\) | 16.7684 | 0.676165 | ||||||||
\(616\) | −4.58392 | + | 13.8706i | −0.184692 | + | 0.558862i | ||||
\(617\) | 17.3687 | + | 17.3687i | 0.699237 | + | 0.699237i | 0.964246 | − | 0.265009i | \(-0.0853749\pi\) |
−0.265009 | + | 0.964246i | \(0.585375\pi\) | |||||||
\(618\) | 20.9988 | + | 5.62661i | 0.844696 | + | 0.226336i | ||||
\(619\) | 22.5518 | − | 6.04273i | 0.906432 | − | 0.242878i | 0.224656 | − | 0.974438i | \(-0.427874\pi\) |
0.681777 | + | 0.731560i | \(0.261208\pi\) | |||||||
\(620\) | −3.53560 | + | 6.12384i | −0.141993 | + | 0.245939i | ||||
\(621\) | −1.46723 | − | 2.54131i | −0.0588778 | − | 0.101979i | ||||
\(622\) | 21.3298 | + | 21.3298i | 0.855248 | + | 0.855248i | ||||
\(623\) | 48.0994 | + | 2.76294i | 1.92706 | + | 0.110695i | ||||
\(624\) | 16.1666 | − | 7.81630i | 0.647183 | − | 0.312903i | ||||
\(625\) | −12.8339 | − | 22.2289i | −0.513355 | − | 0.889158i | ||||
\(626\) | −3.01044 | − | 11.2351i | −0.120321 | − | 0.449045i | ||||
\(627\) | 5.47377 | − | 9.48085i | 0.218601 | − | 0.378629i | ||||
\(628\) | 4.65855 | + | 8.06884i | 0.185896 | + | 0.321982i | ||||
\(629\) | −19.9762 | + | 19.9762i | −0.796503 | + | 0.796503i | ||||
\(630\) | 2.15716 | + | 10.4052i | 0.0859432 | + | 0.414552i | ||||
\(631\) | 3.51142 | − | 3.51142i | 0.139787 | − | 0.139787i | −0.633750 | − | 0.773538i | \(-0.718485\pi\) |
0.773538 | + | 0.633750i | \(0.218485\pi\) | |||||||
\(632\) | −0.182831 | − | 0.0489893i | −0.00727262 | − | 0.00194869i | ||||
\(633\) | −5.65279 | − | 3.26364i | −0.224678 | − | 0.129718i | ||||
\(634\) | 17.4448 | + | 10.0717i | 0.692820 | + | 0.400000i | ||||
\(635\) | 12.9072 | − | 48.1705i | 0.512208 | − | 1.91159i | ||||
\(636\) | −13.0870 | −0.518935 | ||||||||
\(637\) | −19.1137 | − | 16.4823i | −0.757312 | − | 0.653053i | ||||
\(638\) | −12.3151 | −0.487560 | ||||||||
\(639\) | −0.676108 | + | 2.52327i | −0.0267464 | + | 0.0998190i | ||||
\(640\) | 21.7171 | + | 12.5384i | 0.858444 | + | 0.495623i | ||||
\(641\) | −19.7900 | − | 11.4257i | −0.781657 | − | 0.451290i | 0.0553601 | − | 0.998466i | \(-0.482369\pi\) |
−0.837017 | + | 0.547177i | \(0.815703\pi\) | |||||||
\(642\) | 21.4437 | + | 5.74581i | 0.846313 | + | 0.226769i | ||||
\(643\) | 17.7070 | − | 17.7070i | 0.698294 | − | 0.698294i | −0.265748 | − | 0.964042i | \(-0.585619\pi\) |
0.964042 | + | 0.265748i | \(0.0856190\pi\) | |||||||
\(644\) | −1.79680 | − | 8.66697i | −0.0708039 | − | 0.341527i | ||||
\(645\) | 8.04313 | − | 8.04313i | 0.316698 | − | 0.316698i | ||||
\(646\) | −13.6199 | − | 23.5904i | −0.535869 | − | 0.928152i | ||||
\(647\) | −1.63212 | + | 2.82692i | −0.0641653 | + | 0.111138i | −0.896323 | − | 0.443401i | \(-0.853772\pi\) |
0.832158 | + | 0.554538i | \(0.187105\pi\) | |||||||
\(648\) | −0.394395 | − | 1.47190i | −0.0154933 | − | 0.0578218i | ||||
\(649\) | −2.30019 | − | 3.98405i | −0.0902905 | − | 0.156388i | ||||
\(650\) | −0.828607 | − | 0.288503i | −0.0325007 | − | 0.0113160i | ||||
\(651\) | −7.22818 | − | 0.415203i | −0.283295 | − | 0.0162731i | ||||
\(652\) | 15.0329 | + | 15.0329i | 0.588732 | + | 0.588732i | ||||
\(653\) | −23.4605 | − | 40.6348i | −0.918081 | − | 1.59016i | −0.802326 | − | 0.596886i | \(-0.796405\pi\) |
−0.115755 | − | 0.993278i | \(-0.536929\pi\) | |||||||
\(654\) | −14.0436 | + | 24.3242i | −0.549147 | + | 0.951151i | ||||
\(655\) | 7.50774 | − | 2.01169i | 0.293352 | − | 0.0786033i | ||||
\(656\) | −35.5900 | − | 9.53632i | −1.38956 | − | 0.372331i | ||||
\(657\) | 6.78385 | + | 6.78385i | 0.264663 | + | 0.264663i | ||||
\(658\) | −8.82255 | + | 26.6963i | −0.343939 | + | 1.04073i | ||||
\(659\) | 28.5767 | 1.11319 | 0.556596 | − | 0.830784i | \(-0.312107\pi\) | ||||
0.556596 | + | 0.830784i | \(0.312107\pi\) | |||||||
\(660\) | 8.10862 | − | 4.68151i | 0.315628 | − | 0.182228i | ||||
\(661\) | −6.29759 | + | 1.68743i | −0.244948 | + | 0.0656336i | −0.379204 | − | 0.925313i | \(-0.623802\pi\) |
0.134256 | + | 0.990947i | \(0.457136\pi\) | |||||||
\(662\) | −14.5395 | − | 8.39440i | −0.565095 | − | 0.326258i | ||||
\(663\) | 15.1730 | + | 10.3104i | 0.589272 | + | 0.400424i | ||||
\(664\) | − | 21.3131i | − | 0.827108i | ||||||
\(665\) | −5.68526 | + | 17.2031i | −0.220465 | + | 0.667109i | ||||
\(666\) | 9.83919 | 0.381261 | ||||||||
\(667\) | −4.87426 | + | 2.81415i | −0.188732 | + | 0.108964i | ||||
\(668\) | 1.46402 | + | 5.46378i | 0.0566445 | + | 0.211400i | ||||
\(669\) | −6.43619 | + | 1.72457i | −0.248837 | + | 0.0666758i | ||||
\(670\) | −8.21181 | + | 30.6469i | −0.317250 | + | 1.18399i | ||||
\(671\) | 24.0171 | + | 24.0171i | 0.927171 | + | 0.927171i | ||||
\(672\) | 0.876637 | − | 15.2612i | 0.0338170 | − | 0.588713i | ||||
\(673\) | 11.2945i | 0.435372i | 0.976019 | + | 0.217686i | \(0.0698509\pi\) | ||||
−0.976019 | + | 0.217686i | \(0.930149\pi\) | |||||||
\(674\) | 2.45169 | + | 0.656928i | 0.0944356 | + | 0.0253039i | ||||
\(675\) | −0.0686633 | + | 0.118928i | −0.00264285 | + | 0.00457756i | ||||
\(676\) | 13.7795 | − | 5.45736i | 0.529980 | − | 0.209898i | ||||
\(677\) | 9.28222 | − | 5.35909i | 0.356745 | − | 0.205967i | −0.310907 | − | 0.950440i | \(-0.600633\pi\) |
0.667652 | + | 0.744474i | \(0.267300\pi\) | |||||||
\(678\) | 16.3711 | − | 16.3711i | 0.628729 | − | 0.628729i | ||||
\(679\) | 31.5606 | + | 20.7217i | 1.21119 | + | 0.795225i | ||||
\(680\) | 17.5728i | 0.673887i | ||||||||
\(681\) | 1.41619 | − | 5.28529i | 0.0542685 | − | 0.202533i | ||||
\(682\) | 4.54757 | + | 16.9718i | 0.174136 | + | 0.649883i | ||||
\(683\) | −7.84710 | − | 29.2858i | −0.300261 | − | 1.12059i | −0.936949 | − | 0.349467i | \(-0.886363\pi\) |
0.636688 | − | 0.771122i | \(-0.280304\pi\) | |||||||
\(684\) | −0.891505 | + | 3.32714i | −0.0340875 | + | 0.127216i | ||||
\(685\) | 0.701948i | 0.0268201i | ||||||||
\(686\) | −30.8122 | + | 11.2984i | −1.17641 | + | 0.431374i | ||||
\(687\) | −7.83769 | + | 7.83769i | −0.299026 | + | 0.299026i | ||||
\(688\) | −21.6454 | + | 12.4970i | −0.825221 | + | 0.476442i | ||||
\(689\) | 41.2779 | + | 3.02908i | 1.57256 | + | 0.115399i | ||||
\(690\) | 5.89298 | − | 10.2069i | 0.224342 | − | 0.388572i | ||||
\(691\) | 11.7796 | + | 3.15633i | 0.448117 | + | 0.120073i | 0.475818 | − | 0.879544i | \(-0.342152\pi\) |
−0.0277012 | + | 0.999616i | \(0.508819\pi\) | |||||||
\(692\) | 4.65291i | 0.176877i | ||||||||
\(693\) | 8.01374 | + | 5.26156i | 0.304417 | + | 0.199870i | ||||
\(694\) | −25.6411 | − | 25.6411i | −0.973322 | − | 0.973322i | ||||
\(695\) | −7.87365 | + | 29.3849i | −0.298665 | + | 1.11463i | ||||
\(696\) | −2.82312 | + | 0.756454i | −0.107010 | + | 0.0286733i | ||||
\(697\) | −9.74217 | − | 36.3583i | −0.369011 | − | 1.37717i | ||||
\(698\) | 22.1318 | − | 12.7778i | 0.837702 | − | 0.483648i | ||||
\(699\) | −14.4929 | −0.548170 | ||||||||
\(700\) | −0.309214 | + | 0.275620i | −0.0116872 | + | 0.0104175i | ||||
\(701\) | 17.2772i | 0.652550i | 0.945275 | + | 0.326275i | \(0.105794\pi\) | ||||
−0.945275 | + | 0.326275i | \(0.894206\pi\) | |||||||
\(702\) | −1.19753 | − | 6.27589i | −0.0451979 | − | 0.236868i | ||||
\(703\) | 14.5284 | + | 8.38800i | 0.547951 | + | 0.316359i | ||||
\(704\) | −0.971047 | + | 0.260191i | −0.0365977 | + | 0.00980633i | ||||
\(705\) | −11.7717 | + | 6.79642i | −0.443349 | + | 0.255968i | ||||
\(706\) | −20.7142 | −0.779588 | ||||||||
\(707\) | 12.1049 | + | 4.00039i | 0.455250 | + | 0.150450i | ||||
\(708\) | 1.02351 | + | 1.02351i | 0.0384657 | + | 0.0384657i | ||||
\(709\) | 49.7679 | + | 13.3353i | 1.86907 | + | 0.500817i | 0.999981 | + | 0.00616863i | \(0.00196355\pi\) |
0.869093 | + | 0.494648i | \(0.164703\pi\) | |||||||
\(710\) | −10.1345 | + | 2.71553i | −0.380340 | + | 0.101912i | ||||
\(711\) | −0.0621069 | + | 0.107572i | −0.00232919 | + | 0.00403428i | ||||
\(712\) | −13.8743 | − | 24.0310i | −0.519962 | − | 0.900600i | ||||
\(713\) | 5.67816 | + | 5.67816i | 0.212649 | + | 0.212649i | ||||
\(714\) | 21.3079 | − | 10.7225i | 0.797428 | − | 0.401281i | ||||
\(715\) | −26.6590 | + | 12.8892i | −0.996990 | + | 0.482029i | ||||
\(716\) | 4.37697 | + | 7.58113i | 0.163575 | + | 0.283320i | ||||
\(717\) | −4.31146 | − | 16.0906i | −0.161015 | − | 0.600915i | ||||
\(718\) | 0.584224 | − | 1.01191i | 0.0218030 | − | 0.0377640i | ||||
\(719\) | −6.21078 | − | 10.7574i | −0.231623 | − | 0.401183i | 0.726663 | − | 0.686994i | \(-0.241070\pi\) |
−0.958286 | + | 0.285811i | \(0.907737\pi\) | |||||||
\(720\) | 7.98208 | − | 7.98208i | 0.297475 | − | 0.297475i | ||||
\(721\) | −24.2302 | + | 21.5977i | −0.902380 | + | 0.804342i | ||||
\(722\) | 12.3692 | − | 12.3692i | 0.460333 | − | 0.460333i | ||||
\(723\) | 4.97562 | + | 1.33321i | 0.185045 | + | 0.0495827i | ||||
\(724\) | −16.9897 | − | 9.80903i | −0.631418 | − | 0.364550i | ||||
\(725\) | 0.228106 | + | 0.131697i | 0.00847163 | + | 0.00489110i | ||||
\(726\) | 0.976504 | − | 3.64436i | 0.0362415 | − | 0.135255i | ||||
\(727\) | 32.6538 | 1.21106 | 0.605530 | − | 0.795822i | \(-0.292961\pi\) | ||||
0.605530 | + | 0.795822i | \(0.292961\pi\) | |||||||
\(728\) | −1.89350 | + | 14.4125i | −0.0701777 | + | 0.534164i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −9.97299 | + | 37.2197i | −0.369117 | + | 1.37756i | ||||
\(731\) | −22.1126 | − | 12.7667i | −0.817864 | − | 0.472194i | ||||
\(732\) | −9.25502 | − | 5.34339i | −0.342075 | − | 0.197497i | ||||
\(733\) | −27.6096 | − | 7.39797i | −1.01978 | − | 0.273250i | −0.290072 | − | 0.957005i | \(-0.593679\pi\) |
−0.729712 | + | 0.683754i | \(0.760346\pi\) | |||||||
\(734\) | −33.6704 | + | 33.6704i | −1.24280 | + | 1.24280i | ||||
\(735\) | −14.7543 | − | 5.83426i | −0.544222 | − | 0.215200i | ||||
\(736\) | −11.9886 | + | 11.9886i | −0.441904 | + | 0.441904i | ||||
\(737\) | 14.3118 | + | 24.7887i | 0.527181 | + | 0.913104i | ||||
\(738\) | −6.55482 | + | 11.3533i | −0.241286 | + | 0.417920i | ||||
\(739\) | −4.34269 | − | 16.2071i | −0.159748 | − | 0.596189i | −0.998652 | − | 0.0519089i | \(-0.983469\pi\) |
0.838903 | − | 0.544280i | \(-0.183197\pi\) | |||||||
\(740\) | 7.17395 | + | 12.4256i | 0.263720 | + | 0.456776i | ||||
\(741\) | 3.58199 | − | 10.2878i | 0.131588 | − | 0.377932i | ||||
\(742\) | 29.5378 | − | 44.9882i | 1.08437 | − | 1.65157i | ||||
\(743\) | 8.73182 | + | 8.73182i | 0.320339 | + | 0.320339i | 0.848897 | − | 0.528558i | \(-0.177267\pi\) |
−0.528558 | + | 0.848897i | \(0.677267\pi\) | |||||||
\(744\) | 2.08498 | + | 3.61128i | 0.0764389 | + | 0.132396i | ||||
\(745\) | −15.1546 | + | 26.2485i | −0.555221 | + | 0.961670i | ||||
\(746\) | −47.2174 | + | 12.6519i | −1.72875 | + | 0.463218i | ||||
\(747\) | −13.5100 | − | 3.61999i | −0.494304 | − | 0.132448i | ||||
\(748\) | −14.8618 | − | 14.8618i | −0.543400 | − | 0.543400i | ||||
\(749\) | −24.7435 | + | 22.0553i | −0.904108 | + | 0.805882i | ||||
\(750\) | 19.5305 | 0.713152 | ||||||||
\(751\) | 33.2670 | − | 19.2067i | 1.21393 | − | 0.700863i | 0.250317 | − | 0.968164i | \(-0.419465\pi\) |
0.963613 | + | 0.267301i | \(0.0861318\pi\) | |||||||
\(752\) | 28.8501 | − | 7.73037i | 1.05206 | − | 0.281898i | ||||
\(753\) | 3.39984 | + | 1.96290i | 0.123897 | + | 0.0715321i | ||||
\(754\) | −12.0372 | + | 2.29688i | −0.438369 | + | 0.0836473i | ||||
\(755\) | 19.6702i | 0.715873i | ||||||||
\(756\) | −2.86398 | − | 0.946483i | −0.104162 | − | 0.0344233i | ||||
\(757\) | −0.270595 | −0.00983494 | −0.00491747 | − | 0.999988i | \(-0.501565\pi\) | ||||
−0.00491747 | + | 0.999988i | \(0.501565\pi\) | |||||||
\(758\) | 17.9314 | − | 10.3527i | 0.651297 | − | 0.376027i | ||||
\(759\) | −2.75196 | − | 10.2704i | −0.0998897 | − | 0.372794i | ||||
\(760\) | 10.0797 | − | 2.70084i | 0.365628 | − | 0.0979697i | ||||
\(761\) | 4.44524 | − | 16.5899i | 0.161140 | − | 0.601382i | −0.837361 | − | 0.546650i | \(-0.815903\pi\) |
0.998501 | − | 0.0547319i | \(-0.0174304\pi\) | |||||||
\(762\) | 27.5691 | + | 27.5691i | 0.998724 | + | 0.998724i | ||||
\(763\) | −18.8508 | − | 37.4604i | −0.682444 | − | 1.35616i | ||||
\(764\) | − | 30.9233i | − | 1.11877i | ||||||
\(765\) | 11.1391 | + | 2.98471i | 0.402735 | + | 0.107912i | ||||
\(766\) | 5.04940 | − | 8.74582i | 0.182442 | − | 0.315999i | ||||
\(767\) | −2.99135 | − | 3.46514i | −0.108011 | − | 0.125119i | ||||
\(768\) | −17.4592 | + | 10.0801i | −0.630004 | + | 0.363733i | ||||
\(769\) | −27.2014 | + | 27.2014i | −0.980907 | + | 0.980907i | −0.999821 | − | 0.0189145i | \(-0.993979\pi\) |
0.0189145 | + | 0.999821i | \(0.493979\pi\) | |||||||
\(770\) | −2.20811 | + | 38.4406i | −0.0795749 | + | 1.38530i | ||||
\(771\) | 24.3592i | 0.877276i | ||||||||
\(772\) | −7.17794 | + | 26.7884i | −0.258340 | + | 0.964137i | ||||
\(773\) | −4.43869 | − | 16.5654i | −0.159649 | − | 0.595817i | −0.998662 | − | 0.0517064i | \(-0.983534\pi\) |
0.839014 | − | 0.544110i | \(-0.183133\pi\) | |||||||
\(774\) | 2.30164 | + | 8.58983i | 0.0827306 | + | 0.308755i | ||||
\(775\) | 0.0972628 | − | 0.362990i | 0.00349378 | − | 0.0130390i | ||||
\(776\) | − | 21.7452i | − | 0.780609i | ||||||
\(777\) | −8.06281 | + | 12.2803i | −0.289252 | + | 0.440552i | ||||
\(778\) | 27.6147 | − | 27.6147i | 0.990034 | − | 0.990034i | ||||
\(779\) | −19.3576 | + | 11.1761i | −0.693556 | + | 0.400425i | ||||
\(780\) | 7.05250 | − | 6.08820i | 0.252520 | − | 0.217992i | ||||
\(781\) | −4.73269 | + | 8.19726i | −0.169349 | + | 0.293321i | ||||
\(782\) | −25.5551 | − | 6.84747i | −0.913849 | − | 0.244865i | ||||
\(783\) | 1.91801i | 0.0685440i | ||||||||
\(784\) | 27.9974 | + | 20.7739i | 0.999906 | + | 0.741924i | ||||
\(785\) | −13.0980 | − | 13.0980i | −0.467488 | − | 0.467488i | ||||
\(786\) | −1.57276 | + | 5.86962i | −0.0560985 | + | 0.209362i | ||||
\(787\) | −24.3535 | + | 6.52551i | −0.868109 | + | 0.232609i | −0.665270 | − | 0.746603i | \(-0.731684\pi\) |
−0.202839 | + | 0.979212i | \(0.565017\pi\) | |||||||
\(788\) | −1.13969 | − | 4.25336i | −0.0405996 | − | 0.151520i | ||||
\(789\) | −13.9705 | + | 8.06588i | −0.497364 | + | 0.287153i | ||||
\(790\) | −0.498893 | −0.0177498 | ||||||||
\(791\) | 7.01727 | + | 33.8482i | 0.249505 | + | 1.20350i | ||||
\(792\) | − | 5.52146i | − | 0.196197i | ||||||
\(793\) | 27.9546 | + | 18.9957i | 0.992695 | + | 0.674559i | ||||
\(794\) | −25.8529 | − | 14.9262i | −0.917485 | − | 0.529710i | ||||
\(795\) | 25.1319 | − | 6.73406i | 0.891335 | − | 0.238833i | ||||
\(796\) | 18.0687 | − | 10.4320i | 0.640428 | − | 0.369751i | ||||
\(797\) | −6.06034 | −0.214668 | −0.107334 | − | 0.994223i | \(-0.534231\pi\) | ||||
−0.107334 | + | 0.994223i | \(0.534231\pi\) | |||||||
\(798\) | −9.42528 | − | 10.5741i | −0.333651 | − | 0.374319i | ||||
\(799\) | 21.5757 | + | 21.5757i | 0.763292 | + | 0.763292i | ||||
\(800\) | 0.766396 | + | 0.205355i | 0.0270962 | + | 0.00726041i | ||||
\(801\) | −17.5894 | + | 4.71305i | −0.621489 | + | 0.166528i | ||||
\(802\) | 17.4265 | − | 30.1836i | 0.615351 | − | 1.06582i | ||||
\(803\) | 17.3812 | + | 30.1051i | 0.613369 | + | 1.06239i | ||||
\(804\) | −6.36823 | − | 6.36823i | −0.224590 | − | 0.224590i | ||||
\(805\) | 7.91018 | + | 15.7192i | 0.278797 | + | 0.554028i | ||||
\(806\) | 7.61033 | + | 15.7406i | 0.268062 | + | 0.554440i | ||||
\(807\) | 3.72132 | + | 6.44551i | 0.130997 | + | 0.226893i | ||||
\(808\) | −1.90042 | − | 7.09248i | −0.0668567 | − | 0.249513i | ||||
\(809\) | −11.8643 | + | 20.5495i | −0.417126 | + | 0.722483i | −0.995649 | − | 0.0931831i | \(-0.970296\pi\) |
0.578523 | + | 0.815666i | \(0.303629\pi\) | |||||||
\(810\) | −2.00820 | − | 3.47831i | −0.0705611 | − | 0.122215i | ||||
\(811\) | 9.42876 | − | 9.42876i | 0.331088 | − | 0.331088i | −0.521911 | − | 0.853000i | \(-0.674781\pi\) |
0.853000 | + | 0.521911i | \(0.174781\pi\) | |||||||
\(812\) | −1.81536 | + | 5.49314i | −0.0637067 | + | 0.192772i | ||||
\(813\) | −11.1336 | + | 11.1336i | −0.390472 | + | 0.390472i | ||||
\(814\) | 34.4367 | + | 9.22729i | 1.20701 | + | 0.323416i | ||||
\(815\) | −36.6038 | − | 21.1332i | −1.28218 | − | 0.740265i | ||||
\(816\) | −21.9448 | − | 12.6698i | −0.768220 | − | 0.443532i | ||||
\(817\) | −3.92433 | + | 14.6458i | −0.137295 | + | 0.512392i | ||||
\(818\) | −26.6275 | −0.931009 | ||||||||
\(819\) | 8.81423 | + | 3.64819i | 0.307994 | + | 0.127478i | ||||
\(820\) | −19.1170 | −0.667594 | ||||||||
\(821\) | 0.189047 | − | 0.705534i | 0.00659779 | − | 0.0246233i | −0.962548 | − | 0.271110i | \(-0.912609\pi\) |
0.969146 | + | 0.246486i | \(0.0792761\pi\) | |||||||
\(822\) | −0.475265 | − | 0.274395i | −0.0165768 | − | 0.00957061i | ||||
\(823\) | 11.6721 | + | 6.73887i | 0.406863 | + | 0.234902i | 0.689441 | − | 0.724342i | \(-0.257856\pi\) |
−0.282578 | + | 0.959244i | \(0.591190\pi\) | |||||||
\(824\) | 18.0576 | + | 4.83853i | 0.629068 | + | 0.168558i | ||||
\(825\) | −0.351851 | + | 0.351851i | −0.0122499 | + | 0.0122499i | ||||
\(826\) | −5.82849 | + | 1.20834i | −0.202799 | + | 0.0420435i | ||||
\(827\) | −8.01440 | + | 8.01440i | −0.278688 | + | 0.278688i | −0.832585 | − | 0.553897i | \(-0.813140\pi\) |
0.553897 | + | 0.832585i | \(0.313140\pi\) | |||||||
\(828\) | 1.67273 | + | 2.89726i | 0.0581314 | + | 0.100687i | ||||
\(829\) | −10.1091 | + | 17.5094i | −0.351103 | + | 0.608128i | −0.986443 | − | 0.164105i | \(-0.947527\pi\) |
0.635340 | + | 0.772232i | \(0.280860\pi\) | |||||||
\(830\) | −14.5393 | − | 54.2616i | −0.504668 | − | 1.88345i | ||||
\(831\) | 13.3237 | + | 23.0773i | 0.462194 | + | 0.800544i | ||||
\(832\) | −0.900607 | + | 0.435429i | −0.0312229 | + | 0.0150958i | ||||
\(833\) | −4.07818 | + | 35.3810i | −0.141301 | + | 1.22588i | ||||
\(834\) | −16.8177 | − | 16.8177i | −0.582348 | − | 0.582348i | ||||
\(835\) | −5.62288 | − | 9.73911i | −0.194588 | − | 0.337036i | ||||
\(836\) | −6.24045 | + | 10.8088i | −0.215830 | + | 0.373829i | ||||
\(837\) | 2.64326 | − | 0.708258i | 0.0913643 | − | 0.0244810i | ||||
\(838\) | −18.3561 | − | 4.91849i | −0.634099 | − | 0.169906i | ||||
\(839\) | −3.88791 | − | 3.88791i | −0.134225 | − | 0.134225i | 0.636802 | − | 0.771027i | \(-0.280257\pi\) |
−0.771027 | + | 0.636802i | \(0.780257\pi\) | |||||||
\(840\) | 1.85502 | + | 8.94777i | 0.0640042 | + | 0.308728i | ||||
\(841\) | −25.3212 | −0.873146 | ||||||||
\(842\) | −49.4995 | + | 28.5785i | −1.70586 | + | 0.984881i | ||||
\(843\) | −3.89698 | + | 1.04419i | −0.134219 | + | 0.0359639i | ||||
\(844\) | 6.44454 | + | 3.72076i | 0.221830 | + | 0.128074i | ||||
\(845\) | −23.6535 | + | 17.5705i | −0.813704 | + | 0.604443i | ||||
\(846\) | − | 10.6270i | − | 0.365364i | ||||||
\(847\) | 3.74831 | + | 4.20517i | 0.128793 | + | 0.144491i | ||||
\(848\) | −57.1709 | −1.96326 | ||||||||
\(849\) | 6.15144 | − | 3.55154i | 0.211117 | − | 0.121888i | ||||
\(850\) | 0.320448 | + | 1.19593i | 0.0109913 | + | 0.0410200i | ||||
\(851\) | 15.7384 | − | 4.21710i | 0.539506 | − | 0.144560i | ||||
\(852\) | 0.770806 | − | 2.87669i | 0.0264074 | − | 0.0985537i | ||||
\(853\) | 2.40492 | + | 2.40492i | 0.0823428 | + | 0.0823428i | 0.747079 | − | 0.664736i | \(-0.231456\pi\) |
−0.664736 | + | 0.747079i | \(0.731456\pi\) | |||||||
\(854\) | 39.2573 | − | 19.7550i | 1.34336 | − | 0.676003i | ||||
\(855\) | − | 6.84805i | − | 0.234198i | ||||||
\(856\) | 18.4402 | + | 4.94103i | 0.630272 | + | 0.168881i | ||||
\(857\) | 6.76525 | − | 11.7178i | 0.231097 | − | 0.400271i | −0.727034 | − | 0.686601i | \(-0.759102\pi\) |
0.958131 | + | 0.286330i | \(0.0924353\pi\) | |||||||
\(858\) | 1.69428 | − | 23.0884i | 0.0578419 | − | 0.788224i | ||||
\(859\) | 8.81257 | − | 5.08794i | 0.300681 | − | 0.173598i | −0.342068 | − | 0.939675i | \(-0.611127\pi\) |
0.642749 | + | 0.766077i | \(0.277794\pi\) | |||||||
\(860\) | −9.16968 | + | 9.16968i | −0.312684 | + | 0.312684i | ||||
\(861\) | −8.79858 | − | 17.4846i | −0.299855 | − | 0.595873i | ||||
\(862\) | − | 59.0850i | − | 2.01244i | ||||||
\(863\) | 8.87812 | − | 33.1336i | 0.302215 | − | 1.12788i | −0.633102 | − | 0.774068i | \(-0.718219\pi\) |
0.935317 | − | 0.353812i | \(-0.115115\pi\) | |||||||
\(864\) | 1.49538 | + | 5.58083i | 0.0508738 | + | 0.189864i | ||||
\(865\) | −2.39420 | − | 8.93528i | −0.0814053 | − | 0.303809i | ||||
\(866\) | 9.70259 | − | 36.2106i | 0.329708 | − | 1.23049i | ||||
\(867\) | − | 8.88660i | − | 0.301805i | ||||||
\(868\) | 8.24059 | + | 0.473358i | 0.279704 | + | 0.0160668i | ||||
\(869\) | −0.318254 | + | 0.318254i | −0.0107960 | + | 0.0107960i | ||||
\(870\) | −6.67143 | + | 3.85175i | −0.226183 | + | 0.130587i | ||||
\(871\) | 18.6121 | + | 21.5601i | 0.630648 | + | 0.730535i | ||||
\(872\) | −12.0766 | + | 20.9172i | −0.408964 | + | 0.708347i | ||||
\(873\) | −13.7839 | − | 3.69339i | −0.466515 | − | 0.125002i | ||||
\(874\) | 15.7107i | 0.531421i | ||||||||
\(875\) | −16.0044 | + | 24.3759i | −0.541048 | + | 0.824056i | ||||
\(876\) | −7.73402 | − | 7.73402i | −0.261308 | − | 0.261308i | ||||
\(877\) | −8.28153 | + | 30.9071i | −0.279647 | + | 1.04366i | 0.673015 | + | 0.739629i | \(0.264999\pi\) |
−0.952663 | + | 0.304030i | \(0.901668\pi\) | |||||||
\(878\) | −53.2132 | + | 14.2584i | −1.79586 | + | 0.481199i | ||||
\(879\) | 3.99363 | + | 14.9044i | 0.134702 | + | 0.502713i | ||||
\(880\) | 35.4226 | − | 20.4512i | 1.19410 | − | 0.689411i | ||||
\(881\) | −18.4124 | −0.620329 | −0.310165 | − | 0.950683i | \(-0.600384\pi\) | ||||
−0.310165 | + | 0.950683i | \(0.600384\pi\) | |||||||
\(882\) | 9.71772 | − | 7.70903i | 0.327213 | − | 0.259576i | ||||
\(883\) | 44.2304i | 1.48847i | 0.667917 | + | 0.744236i | \(0.267186\pi\) | ||||
−0.667917 | + | 0.744236i | \(0.732814\pi\) | |||||||
\(884\) | −17.2982 | − | 11.7545i | −0.581803 | − | 0.395348i | ||||
\(885\) | −2.49216 | − | 1.43885i | −0.0837729 | − | 0.0483663i | ||||
\(886\) | 5.28490 | − | 1.41609i | 0.177550 | − | 0.0475743i | ||||
\(887\) | 32.8366 | − | 18.9582i | 1.10255 | − | 0.636555i | 0.165657 | − | 0.986183i | \(-0.447025\pi\) |
0.936888 | + | 0.349628i | \(0.113692\pi\) | |||||||
\(888\) | 8.46108 | 0.283935 | ||||||||
\(889\) | −57.0007 | + | 11.8171i | −1.91174 | + | 0.396334i | ||||
\(890\) | −51.7165 | − | 51.7165i | −1.73354 | − | 1.73354i | ||||
\(891\) | −3.49995 | − | 0.937810i | −0.117253 | − | 0.0314178i | ||||
\(892\) | 7.33767 | − | 1.96612i | 0.245683 | − | 0.0658306i | ||||
\(893\) | 9.05961 | − | 15.6917i | 0.303168 | − | 0.525103i | ||||
\(894\) | −11.8480 | − | 20.5213i | −0.396256 | − | 0.686335i | ||||
\(895\) | −12.3063 | − | 12.3063i | −0.411355 | − | 0.411355i | ||||
\(896\) | 1.67868 | − | 29.2238i | 0.0560807 | − | 0.976298i | ||||
\(897\) | −4.60538 | − | 9.52542i | −0.153769 | − | 0.318044i | ||||
\(898\) | 31.8691 | + | 55.1990i | 1.06349 | + | 1.84201i | ||||
\(899\) | −1.35845 | − | 5.06979i | −0.0453067 | − | 0.169087i | ||||
\(900\) | 0.0782806 | − | 0.135586i | 0.00260935 | − | 0.00451953i | ||||
\(901\) | −29.2025 | − | 50.5802i | −0.972876 | − | 1.68507i | ||||
\(902\) | −33.5888 | + | 33.5888i | −1.11838 | + | 1.11838i | ||||
\(903\) | −12.6070 | − | 4.16634i | −0.419535 | − | 0.138647i | ||||
\(904\) | 14.0781 | − | 14.0781i | 0.468231 | − | 0.468231i | ||||
\(905\) | 37.6738 | + | 10.0947i | 1.25232 | + | 0.335558i | ||||
\(906\) | −13.3181 | − | 7.68918i | −0.442463 | − | 0.255456i | ||||
\(907\) | 11.4259 | + | 6.59673i | 0.379390 | + | 0.219041i | 0.677553 | − | 0.735474i | \(-0.263041\pi\) |
−0.298163 | + | 0.954515i | \(0.596374\pi\) | |||||||
\(908\) | −1.61455 | + | 6.02557i | −0.0535806 | + | 0.199966i | ||||
\(909\) | −4.81858 | −0.159822 | ||||||||
\(910\) | 5.01122 | + | 37.9850i | 0.166120 | + | 1.25919i | ||||
\(911\) | 34.0993 | 1.12976 | 0.564880 | − | 0.825173i | \(-0.308922\pi\) | ||||
0.564880 | + | 0.825173i | \(0.308922\pi\) | |||||||
\(912\) | −3.89455 | + | 14.5347i | −0.128961 | + | 0.481290i | ||||
\(913\) | −43.8894 | − | 25.3396i | −1.45253 | − | 0.838617i | ||||
\(914\) | 29.2366 | + | 16.8798i | 0.967062 | + | 0.558334i | ||||
\(915\) | 20.5225 | + | 5.49898i | 0.678452 | + | 0.181791i | ||||
\(916\) | 8.93547 | − | 8.93547i | 0.295236 | − | 0.295236i | ||||
\(917\) | −6.03703 | − | 6.77286i | −0.199360 | − | 0.223660i | ||||
\(918\) | −6.37517 | + | 6.37517i | −0.210412 | + | 0.210412i | ||||
\(919\) | −5.34707 | − | 9.26140i | −0.176384 | − | 0.305505i | 0.764256 | − | 0.644913i | \(-0.223107\pi\) |
−0.940639 | + | 0.339408i | \(0.889773\pi\) | |||||||
\(920\) | 5.06759 | − | 8.77732i | 0.167073 | − | 0.289380i | ||||
\(921\) | −5.42597 | − | 20.2500i | −0.178792 | − | 0.667260i | ||||
\(922\) | 35.4172 | + | 61.3444i | 1.16640 | + | 2.02027i | ||||
\(923\) | −3.09703 | + | 8.89497i | −0.101940 | + | 0.292781i | ||||
\(924\) | −9.13618 | − | 5.99852i | −0.300558 | − | 0.197337i | ||||
\(925\) | −0.539175 | − | 0.539175i | −0.0177280 | − | 0.0177280i | ||||
\(926\) | 5.21998 | + | 9.04127i | 0.171539 | + | 0.297115i | ||||
\(927\) | 6.13411 | − | 10.6246i | 0.201471 | − | 0.348957i | ||||
\(928\) | 10.7041 | − | 2.86815i | 0.351379 | − | 0.0941516i | ||||
\(929\) | −11.7836 | − | 3.15740i | −0.386606 | − | 0.103591i | 0.0602803 | − | 0.998181i | \(-0.480801\pi\) |
−0.446887 | + | 0.894591i | \(0.647467\pi\) | |||||||
\(930\) | 7.77174 | + | 7.77174i | 0.254845 | + | 0.254845i | ||||
\(931\) | 20.9211 | − | 3.09862i | 0.685661 | − | 0.101553i | ||||
\(932\) | 16.5228 | 0.541222 | ||||||||
\(933\) | 14.7422 | − | 8.51144i | 0.482639 | − | 0.278652i | ||||
\(934\) | −39.6224 | + | 10.6168i | −1.29648 | + | 0.347392i | ||||
\(935\) | 36.1872 | + | 20.8927i | 1.18345 | + | 0.683264i | ||||
\(936\) | −1.02980 | − | 5.39686i | −0.0336601 | − | 0.176402i | ||||
\(937\) | − | 32.9237i | − | 1.07557i | −0.843082 | − | 0.537785i | \(-0.819261\pi\) | ||
0.843082 | − | 0.537785i | \(-0.180739\pi\) | |||||||
\(938\) | 36.2648 | − | 7.51827i | 1.18409 | − | 0.245480i | ||||
\(939\) | −6.56394 | −0.214206 | ||||||||
\(940\) | 13.4205 | − | 7.74835i | 0.437730 | − | 0.252723i | ||||
\(941\) | −6.57596 | − | 24.5418i | −0.214370 | − | 0.800040i | −0.986387 | − | 0.164439i | \(-0.947419\pi\) |
0.772017 | − | 0.635602i | \(-0.219248\pi\) | |||||||
\(942\) | 13.9883 | − | 3.74815i | 0.455763 | − | 0.122121i | ||||
\(943\) | −5.61882 | + | 20.9697i | −0.182974 | + | 0.682868i | ||||
\(944\) | 4.47120 | + | 4.47120i | 0.145525 | + | 0.145525i | ||||
\(945\) | 5.98690 | + | 0.343901i | 0.194754 | + | 0.0111871i | ||||
\(946\) | 32.2225i | 1.04764i | ||||||||
\(947\) | 27.3013 | + | 7.31537i | 0.887175 | + | 0.237718i | 0.673500 | − | 0.739187i | \(-0.264790\pi\) |
0.213675 | + | 0.976905i | \(0.431457\pi\) | |||||||
\(948\) | 0.0708059 | − | 0.122639i | 0.00229967 | − | 0.00398314i | ||||
\(949\) | 22.6038 | + | 26.1840i | 0.733752 | + | 0.849969i | ||||
\(950\) | 0.636726 | − | 0.367614i | 0.0206581 | − | 0.0119270i | ||||
\(951\) | 8.03804 | − | 8.03804i | 0.260651 | − | 0.260651i | ||||
\(952\) | 18.3234 | − | 9.22070i | 0.593866 | − | 0.298845i | ||||
\(953\) | 12.5172i | 0.405472i | 0.979233 | + | 0.202736i | \(0.0649833\pi\) | ||||
−0.979233 | + | 0.202736i | \(0.935017\pi\) | |||||||
\(954\) | −5.26475 | + | 19.6483i | −0.170453 | + | 0.636138i | ||||
\(955\) | 15.9119 | + | 59.3840i | 0.514897 | + | 1.92162i | ||||
\(956\) | 4.91535 | + | 18.3443i | 0.158974 | + | 0.593298i | ||||
\(957\) | −1.79873 | + | 6.71294i | −0.0581446 | + | 0.216999i | ||||
\(958\) | 41.3059i | 1.33453i | ||||||||
\(959\) | 0.731931 | − | 0.368322i | 0.0236353 | − | 0.0118937i | ||||
\(960\) | −0.444664 | + | 0.444664i | −0.0143515 | + | 0.0143515i | ||||
\(961\) | 20.3616 | − | 11.7558i | 0.656826 | − | 0.379219i | ||||
\(962\) | 35.3806 | + | 2.59632i | 1.14072 | + | 0.0837087i | ||||
\(963\) | 6.26406 | − | 10.8497i | 0.201856 | − | 0.349626i | ||||
\(964\) | −5.67253 | − | 1.51995i | −0.182700 | − | 0.0489543i | ||||
\(965\) | − | 55.1370i | − | 1.77492i | ||||||
\(966\) | −13.7350 | − | 0.788972i | −0.441918 | − | 0.0253847i | ||||
\(967\) | −12.9841 | − | 12.9841i | −0.417541 | − | 0.417541i | 0.466814 | − | 0.884355i | \(-0.345402\pi\) |
−0.884355 | + | 0.466814i | \(0.845402\pi\) | |||||||
\(968\) | 0.839731 | − | 3.13392i | 0.0269900 | − | 0.100728i | ||||
\(969\) | −14.8484 | + | 3.97861i | −0.476999 | + | 0.127812i | ||||
\(970\) | −14.8342 | − | 55.3618i | −0.476296 | − | 1.77756i | ||||
\(971\) | −16.7868 | + | 9.69187i | −0.538714 | + | 0.311027i | −0.744558 | − | 0.667558i | \(-0.767340\pi\) |
0.205843 | + | 0.978585i | \(0.434006\pi\) | |||||||
\(972\) | 1.14006 | 0.0365676 | ||||||||
\(973\) | 34.7714 | − | 7.20867i | 1.11472 | − | 0.231100i | ||||
\(974\) | 50.3643i | 1.61378i | ||||||||
\(975\) | −0.278287 | + | 0.409534i | −0.00891233 | + | 0.0131156i | ||||
\(976\) | −40.4307 | − | 23.3427i | −1.29415 | − | 0.747180i | ||||
\(977\) | −31.9558 | + | 8.56252i | −1.02236 | + | 0.273939i | −0.730783 | − | 0.682609i | \(-0.760845\pi\) |
−0.291572 | + | 0.956549i | \(0.594178\pi\) | |||||||
\(978\) | 28.6172 | − | 16.5221i | 0.915077 | − | 0.528320i | ||||
\(979\) | −65.9819 | −2.10879 | ||||||||
\(980\) | 16.8209 | + | 6.65143i | 0.537324 | + | 0.212472i | ||||
\(981\) | 11.2079 | + | 11.2079i | 0.357840 | + | 0.357840i | ||||
\(982\) | 47.6535 | + | 12.7687i | 1.52069 | + | 0.407466i | ||||
\(983\) | −15.5769 | + | 4.17382i | −0.496826 | + | 0.133124i | −0.498527 | − | 0.866874i | \(-0.666125\pi\) |
0.00170057 | + | 0.999999i | \(0.499459\pi\) | |||||||
\(984\) | −5.63673 | + | 9.76310i | −0.179692 | + | 0.311236i | ||||
\(985\) | 4.37722 | + | 7.58156i | 0.139470 | + | 0.241569i | ||||
\(986\) | 12.2276 | + | 12.2276i | 0.389407 | + | 0.389407i | ||||
\(987\) | 13.2635 | + | 8.70839i | 0.422182 | + | 0.277191i | ||||
\(988\) | −4.08370 | + | 11.7288i | −0.129920 | + | 0.373142i | ||||
\(989\) | 7.36323 | + | 12.7535i | 0.234137 | + | 0.405537i | ||||
\(990\) | −3.76663 | − | 14.0572i | −0.119711 | − | 0.446768i | ||||
\(991\) | 14.0327 | − | 24.3054i | 0.445764 | − | 0.772086i | −0.552341 | − | 0.833618i | \(-0.686265\pi\) |
0.998105 | + | 0.0615320i | \(0.0195986\pi\) | |||||||
\(992\) | −7.90534 | − | 13.6924i | −0.250995 | − | 0.434736i | ||||
\(993\) | −6.69939 | + | 6.69939i | −0.212599 | + | 0.212599i | ||||
\(994\) | 8.14921 | + | 9.14249i | 0.258477 | + | 0.289982i | ||||
\(995\) | −29.3306 | + | 29.3306i | −0.929842 | + | 0.929842i | ||||
\(996\) | 15.4022 | + | 4.12702i | 0.488038 | + | 0.130770i | ||||
\(997\) | −7.71874 | − | 4.45642i | −0.244455 | − | 0.141136i | 0.372768 | − | 0.927925i | \(-0.378409\pi\) |
−0.617223 | + | 0.786789i | \(0.711742\pi\) | |||||||
\(998\) | 5.25341 | + | 3.03306i | 0.166294 | + | 0.0960097i | ||||
\(999\) | 1.43710 | − | 5.36332i | 0.0454678 | − | 0.169688i |
(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 | 273.2.bz.a.73.3 | ✓ | 36 | |
3.2 | odd | 2 | 819.2.fn.f.73.7 | 36 | |||
7.5 | odd | 6 | 273.2.bz.b.229.7 | yes | 36 | ||
13.5 | odd | 4 | 273.2.bz.b.31.7 | yes | 36 | ||
21.5 | even | 6 | 819.2.fn.g.775.3 | 36 | |||
39.5 | even | 4 | 819.2.fn.g.577.3 | 36 | |||
91.5 | even | 12 | inner | 273.2.bz.a.187.3 | yes | 36 | |
273.5 | odd | 12 | 819.2.fn.f.460.7 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bz.a.73.3 | ✓ | 36 | 1.1 | even | 1 | trivial | |
273.2.bz.a.187.3 | yes | 36 | 91.5 | even | 12 | inner | |
273.2.bz.b.31.7 | yes | 36 | 13.5 | odd | 4 | ||
273.2.bz.b.229.7 | yes | 36 | 7.5 | odd | 6 | ||
819.2.fn.f.73.7 | 36 | 3.2 | odd | 2 | |||
819.2.fn.f.460.7 | 36 | 273.5 | odd | 12 | |||
819.2.fn.g.577.3 | 36 | 39.5 | even | 4 | |||
819.2.fn.g.775.3 | 36 | 21.5 | even | 6 |