Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 13.84 | ||
Character | \(\chi\) | \(=\) | 576.13 |
Dual form | 576.2.bm.a.133.84 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.32235 | − | 0.501382i | 0.935044 | − | 0.354531i | ||||
\(3\) | −0.461703 | + | 1.66938i | −0.266565 | + | 0.963817i | ||||
\(4\) | 1.49723 | − | 1.32601i | 0.748616 | − | 0.663004i | ||||
\(5\) | 1.02342 | − | 3.01489i | 0.457686 | − | 1.34830i | −0.436137 | − | 0.899880i | \(-0.643654\pi\) |
0.893823 | − | 0.448420i | \(-0.148013\pi\) | |||||||
\(6\) | 0.226463 | + | 2.43900i | 0.0924530 | + | 0.995717i | ||||
\(7\) | 0.246782 | − | 0.321612i | 0.0932747 | − | 0.121558i | −0.744384 | − | 0.667751i | \(-0.767257\pi\) |
0.837659 | + | 0.546193i | \(0.183924\pi\) | |||||||
\(8\) | 1.31503 | − | 2.50413i | 0.464934 | − | 0.885345i | ||||
\(9\) | −2.57366 | − | 1.54152i | −0.857887 | − | 0.513839i | ||||
\(10\) | −0.158293 | − | 4.49987i | −0.0500568 | − | 1.42298i | ||||
\(11\) | 0.0306950 | + | 0.00201186i | 0.00925490 | + | 0.000606598i | 0.0700299 | − | 0.997545i | \(-0.477691\pi\) |
−0.0607750 | + | 0.998151i | \(0.519357\pi\) | |||||||
\(12\) | 1.52233 | + | 3.11167i | 0.439460 | + | 0.898262i | ||||
\(13\) | 1.41910 | − | 1.61817i | 0.393587 | − | 0.448800i | −0.520777 | − | 0.853693i | \(-0.674358\pi\) |
0.914364 | + | 0.404893i | \(0.132691\pi\) | |||||||
\(14\) | 0.165082 | − | 0.549016i | 0.0441199 | − | 0.146731i | ||||
\(15\) | 4.56048 | + | 3.10046i | 1.17751 | + | 0.800535i | ||||
\(16\) | 0.483408 | − | 3.97068i | 0.120852 | − | 0.992671i | ||||
\(17\) | −1.86727 | − | 1.86727i | −0.452879 | − | 0.452879i | 0.443430 | − | 0.896309i | \(-0.353761\pi\) |
−0.896309 | + | 0.443430i | \(0.853761\pi\) | |||||||
\(18\) | −4.17617 | − | 0.748042i | −0.984334 | − | 0.176315i | ||||
\(19\) | −0.587985 | + | 2.95600i | −0.134893 | + | 0.678153i | 0.852862 | + | 0.522137i | \(0.174865\pi\) |
−0.987755 | + | 0.156016i | \(0.950135\pi\) | |||||||
\(20\) | −2.46548 | − | 5.87105i | −0.551297 | − | 1.31281i | ||||
\(21\) | 0.422953 | + | 0.560462i | 0.0922959 | + | 0.122303i | ||||
\(22\) | 0.0415983 | − | 0.0127295i | 0.00886880 | − | 0.00271395i | ||||
\(23\) | 0.307515 | − | 0.235964i | 0.0641213 | − | 0.0492020i | −0.576204 | − | 0.817306i | \(-0.695466\pi\) |
0.640325 | + | 0.768104i | \(0.278800\pi\) | |||||||
\(24\) | 3.57320 | + | 3.35146i | 0.729376 | + | 0.684113i | ||||
\(25\) | −4.07542 | − | 3.12718i | −0.815084 | − | 0.625436i | ||||
\(26\) | 1.06523 | − | 2.85130i | 0.208908 | − | 0.559186i | ||||
\(27\) | 3.76164 | − | 3.58469i | 0.723929 | − | 0.689875i | ||||
\(28\) | −0.0569707 | − | 0.808762i | −0.0107664 | − | 0.152842i | ||||
\(29\) | −1.58793 | + | 3.22000i | −0.294871 | + | 0.597939i | −0.993011 | − | 0.118022i | \(-0.962345\pi\) |
0.698140 | + | 0.715961i | \(0.254011\pi\) | |||||||
\(30\) | 7.58508 | + | 1.81335i | 1.38484 | + | 0.331072i | ||||
\(31\) | 7.70724 | + | 4.44978i | 1.38426 | + | 0.799203i | 0.992661 | − | 0.120932i | \(-0.0385884\pi\) |
0.391600 | + | 0.920136i | \(0.371922\pi\) | |||||||
\(32\) | −1.35159 | − | 5.49301i | −0.238930 | − | 0.971037i | ||||
\(33\) | −0.0175305 | + | 0.0503128i | −0.00305168 | + | 0.00875833i | ||||
\(34\) | −3.40540 | − | 1.53297i | −0.584021 | − | 0.262902i | ||||
\(35\) | −0.717065 | − | 1.07316i | −0.121206 | − | 0.181398i | ||||
\(36\) | −5.89743 | + | 1.10468i | −0.982905 | + | 0.184114i | ||||
\(37\) | 1.68150 | + | 8.45345i | 0.276436 | + | 1.38974i | 0.830386 | + | 0.557189i | \(0.188120\pi\) |
−0.553950 | + | 0.832550i | \(0.686880\pi\) | |||||||
\(38\) | 0.704562 | + | 4.20368i | 0.114295 | + | 0.681927i | ||||
\(39\) | 2.04614 | + | 3.11613i | 0.327645 | + | 0.498980i | ||||
\(40\) | −6.20387 | − | 6.52746i | −0.980918 | − | 1.03208i | ||||
\(41\) | 4.14937 | − | 3.18392i | 0.648023 | − | 0.497245i | −0.231666 | − | 0.972795i | \(-0.574418\pi\) |
0.879689 | + | 0.475550i | \(0.157751\pi\) | |||||||
\(42\) | 0.840298 | + | 0.529067i | 0.129661 | + | 0.0816368i | ||||
\(43\) | −0.0623595 | + | 0.951422i | −0.00950974 | + | 0.145091i | 0.990464 | + | 0.137775i | \(0.0439952\pi\) |
−0.999973 | + | 0.00731523i | \(0.997671\pi\) | |||||||
\(44\) | 0.0486253 | − | 0.0376896i | 0.00733054 | − | 0.00568192i | ||||
\(45\) | −7.28144 | + | 6.18169i | −1.08545 | + | 0.921512i | ||||
\(46\) | 0.288335 | − | 0.466210i | 0.0425126 | − | 0.0687390i | ||||
\(47\) | −1.90835 | + | 7.12206i | −0.278362 | + | 1.03886i | 0.675193 | + | 0.737641i | \(0.264060\pi\) |
−0.953555 | + | 0.301219i | \(0.902607\pi\) | |||||||
\(48\) | 6.40539 | + | 2.64027i | 0.924538 | + | 0.381090i | ||||
\(49\) | 1.76920 | + | 6.60274i | 0.252743 | + | 0.943249i | ||||
\(50\) | −6.95706 | − | 2.09189i | −0.983876 | − | 0.295838i | ||||
\(51\) | 3.97930 | − | 2.25505i | 0.557214 | − | 0.315771i | ||||
\(52\) | −0.0209881 | − | 4.30451i | −0.00291052 | − | 0.596928i | ||||
\(53\) | 5.23810 | − | 7.83938i | 0.719509 | − | 1.07682i | −0.273851 | − | 0.961772i | \(-0.588298\pi\) |
0.993360 | − | 0.115049i | \(-0.0367025\pi\) | |||||||
\(54\) | 3.17692 | − | 6.62625i | 0.432324 | − | 0.901718i | ||||
\(55\) | 0.0374794 | − | 0.0904832i | 0.00505372 | − | 0.0122008i | ||||
\(56\) | −0.480834 | − | 1.04090i | −0.0642541 | − | 0.139097i | ||||
\(57\) | −4.66321 | − | 2.34637i | −0.617658 | − | 0.310784i | ||||
\(58\) | −0.485350 | + | 5.05413i | −0.0637296 | + | 0.663640i | ||||
\(59\) | 0.197777 | − | 0.582633i | 0.0257484 | − | 0.0758524i | −0.933296 | − | 0.359108i | \(-0.883081\pi\) |
0.959045 | + | 0.283255i | \(0.0914144\pi\) | |||||||
\(60\) | 10.9393 | − | 1.40513i | 1.41226 | − | 0.181402i | ||||
\(61\) | −11.4802 | − | 5.66143i | −1.46990 | − | 0.724872i | −0.481453 | − | 0.876472i | \(-0.659891\pi\) |
−0.988442 | + | 0.151600i | \(0.951558\pi\) | |||||||
\(62\) | 12.4227 | + | 2.01990i | 1.57769 | + | 0.256528i | ||||
\(63\) | −1.13090 | + | 0.447302i | −0.142480 | + | 0.0563548i | ||||
\(64\) | −4.54138 | − | 6.58604i | −0.567673 | − | 0.823254i | ||||
\(65\) | −3.42628 | − | 5.93449i | −0.424978 | − | 0.736083i | ||||
\(66\) | 0.00204436 | + | 0.0753207i | 0.000251643 | + | 0.00927134i | ||||
\(67\) | −0.204047 | − | 3.11315i | −0.0249283 | − | 0.380332i | −0.992035 | − | 0.125961i | \(-0.959798\pi\) |
0.967107 | − | 0.254370i | \(-0.0818682\pi\) | |||||||
\(68\) | −5.27174 | − | 0.319722i | −0.639292 | − | 0.0387720i | ||||
\(69\) | 0.251934 | + | 0.622304i | 0.0303292 | + | 0.0749167i | ||||
\(70\) | −1.48628 | − | 1.05958i | −0.177644 | − | 0.126644i | ||||
\(71\) | 4.00836 | + | 9.67703i | 0.475704 | + | 1.14845i | 0.961605 | + | 0.274438i | \(0.0884918\pi\) |
−0.485900 | + | 0.874014i | \(0.661508\pi\) | |||||||
\(72\) | −7.24461 | + | 4.41765i | −0.853786 | + | 0.520625i | ||||
\(73\) | −2.06997 | + | 4.99736i | −0.242272 | + | 0.584897i | −0.997508 | − | 0.0705567i | \(-0.977522\pi\) |
0.755236 | + | 0.655453i | \(0.227522\pi\) | |||||||
\(74\) | 6.46194 | + | 10.3354i | 0.751185 | + | 1.20146i | ||||
\(75\) | 7.10209 | − | 5.35960i | 0.820079 | − | 0.618873i | ||||
\(76\) | 3.03933 | + | 5.20549i | 0.348635 | + | 0.597111i | ||||
\(77\) | 0.00822200 | − | 0.00937540i | 0.000936984 | − | 0.00106843i | ||||
\(78\) | 4.26809 | + | 3.09472i | 0.483266 | + | 0.350408i | ||||
\(79\) | −8.88811 | − | 2.38156i | −0.999991 | − | 0.267947i | −0.278549 | − | 0.960422i | \(-0.589853\pi\) |
−0.721442 | + | 0.692475i | \(0.756520\pi\) | |||||||
\(80\) | −11.4764 | − | 5.52109i | −1.28311 | − | 0.617277i | ||||
\(81\) | 4.24745 | + | 7.93468i | 0.471939 | + | 0.881631i | ||||
\(82\) | 3.89057 | − | 6.29069i | 0.429641 | − | 0.694690i | ||||
\(83\) | −0.815000 | + | 0.276655i | −0.0894579 | + | 0.0303668i | −0.365810 | − | 0.930690i | \(-0.619208\pi\) |
0.276352 | + | 0.961057i | \(0.410875\pi\) | |||||||
\(84\) | 1.37643 | + | 0.278302i | 0.150181 | + | 0.0303653i | ||||
\(85\) | −7.54060 | + | 3.71861i | −0.817893 | + | 0.403340i | ||||
\(86\) | 0.394565 | + | 1.28938i | 0.0425470 | + | 0.139038i | ||||
\(87\) | −4.64225 | − | 4.13754i | −0.497701 | − | 0.443591i | ||||
\(88\) | 0.0454029 | − | 0.0742188i | 0.00483997 | − | 0.00791175i | ||||
\(89\) | −12.1635 | + | 5.03828i | −1.28933 | + | 0.534057i | −0.918785 | − | 0.394759i | \(-0.870828\pi\) |
−0.370542 | + | 0.928816i | \(0.620828\pi\) | |||||||
\(90\) | −6.52924 | + | 11.8252i | −0.688242 | + | 1.24648i | ||||
\(91\) | −0.170216 | − | 0.855733i | −0.0178435 | − | 0.0897052i | ||||
\(92\) | 0.147530 | − | 0.761060i | 0.0153811 | − | 0.0793460i | ||||
\(93\) | −10.9868 | + | 10.8118i | −1.13928 | + | 1.12113i | ||||
\(94\) | 1.04736 | + | 10.3747i | 0.108027 | + | 1.07007i | ||||
\(95\) | 8.31027 | + | 4.79794i | 0.852615 | + | 0.492258i | ||||
\(96\) | 9.79396 | + | 0.279820i | 0.999592 | + | 0.0285590i | ||||
\(97\) | 3.04756 | − | 1.75951i | 0.309433 | − | 0.178651i | −0.337240 | − | 0.941419i | \(-0.609493\pi\) |
0.646673 | + | 0.762768i | \(0.276160\pi\) | |||||||
\(98\) | 5.65000 | + | 7.84411i | 0.570737 | + | 0.792375i | ||||
\(99\) | −0.0758972 | − | 0.0524947i | −0.00762796 | − | 0.00527592i | ||||
\(100\) | −10.2485 | + | 0.721924i | −1.02485 | + | 0.0721924i | ||||
\(101\) | 8.60404 | − | 7.54554i | 0.856134 | − | 0.750809i | −0.113974 | − | 0.993484i | \(-0.536358\pi\) |
0.970108 | + | 0.242675i | \(0.0780247\pi\) | |||||||
\(102\) | 4.13139 | − | 4.97713i | 0.409069 | − | 0.492809i | ||||
\(103\) | −1.82071 | + | 13.8296i | −0.179400 | + | 1.36268i | 0.630537 | + | 0.776159i | \(0.282835\pi\) |
−0.809937 | + | 0.586517i | \(0.800499\pi\) | |||||||
\(104\) | −2.18596 | − | 5.68156i | −0.214351 | − | 0.557123i | ||||
\(105\) | 2.12259 | − | 0.701570i | 0.207143 | − | 0.0684663i | ||||
\(106\) | 2.99610 | − | 12.9927i | 0.291007 | − | 1.26196i | ||||
\(107\) | −10.4468 | − | 6.98034i | −1.00993 | − | 0.674815i | −0.0635878 | − | 0.997976i | \(-0.520254\pi\) |
−0.946344 | + | 0.323161i | \(0.895254\pi\) | |||||||
\(108\) | 0.878725 | − | 10.3551i | 0.0845553 | − | 0.996419i | ||||
\(109\) | −2.27880 | + | 11.4563i | −0.218269 | + | 1.09731i | 0.703832 | + | 0.710366i | \(0.251471\pi\) |
−0.922101 | + | 0.386948i | \(0.873529\pi\) | |||||||
\(110\) | 0.00419428 | − | 0.138442i | 0.000399909 | − | 0.0131999i | ||||
\(111\) | −14.8884 | − | 1.09593i | −1.41314 | − | 0.104021i | ||||
\(112\) | −1.15772 | − | 1.13536i | −0.109395 | − | 0.107282i | ||||
\(113\) | 2.59565 | + | 9.68709i | 0.244178 | + | 0.911285i | 0.973795 | + | 0.227429i | \(0.0730318\pi\) |
−0.729617 | + | 0.683856i | \(0.760302\pi\) | |||||||
\(114\) | −7.34284 | − | 0.764671i | −0.687720 | − | 0.0716180i | ||||
\(115\) | −0.396691 | − | 1.16861i | −0.0369916 | − | 0.108974i | ||||
\(116\) | 1.89225 | + | 6.92669i | 0.175691 | + | 0.643127i | ||||
\(117\) | −6.14671 | + | 1.97706i | −0.568264 | + | 0.182779i | ||||
\(118\) | −0.0305905 | − | 0.869608i | −0.00281608 | − | 0.0800539i | ||||
\(119\) | −1.06134 | + | 0.139728i | −0.0972931 | + | 0.0128089i | ||||
\(120\) | 13.7612 | − | 7.34287i | 1.25622 | − | 0.670309i | ||||
\(121\) | −10.9050 | − | 1.43566i | −0.991360 | − | 0.130515i | ||||
\(122\) | −18.0195 | − | 1.73042i | −1.63141 | − | 0.156665i | ||||
\(123\) | 3.39940 | + | 8.39690i | 0.306514 | + | 0.757123i | ||||
\(124\) | 17.4400 | − | 3.55751i | 1.56615 | − | 0.319474i | ||||
\(125\) | −0.362562 | + | 0.242256i | −0.0324285 | + | 0.0216681i | ||||
\(126\) | −1.27118 | + | 1.15850i | −0.113246 | + | 0.103208i | ||||
\(127\) | 1.05243 | 0.0933885 | 0.0466942 | − | 0.998909i | \(-0.485131\pi\) | ||||
0.0466942 | + | 0.998909i | \(0.485131\pi\) | |||||||
\(128\) | −9.30743 | − | 6.43209i | −0.822668 | − | 0.568522i | ||||
\(129\) | −1.55949 | − | 0.543377i | −0.137306 | − | 0.0478416i | ||||
\(130\) | −7.50620 | − | 6.12961i | −0.658337 | − | 0.537603i | ||||
\(131\) | −1.47487 | − | 22.5021i | −0.128860 | − | 1.96602i | −0.235940 | − | 0.971768i | \(-0.575817\pi\) |
0.107080 | − | 0.994250i | \(-0.465850\pi\) | |||||||
\(132\) | 0.0404678 | + | 0.0985755i | 0.00352227 | + | 0.00857990i | ||||
\(133\) | 0.805581 | + | 0.918589i | 0.0698528 | + | 0.0796518i | ||||
\(134\) | −1.83070 | − | 4.01438i | −0.158148 | − | 0.346789i | ||||
\(135\) | −6.95773 | − | 15.0096i | −0.598826 | − | 1.29182i | ||||
\(136\) | −7.13140 | + | 2.22037i | −0.611513 | + | 0.190395i | ||||
\(137\) | 3.86910 | − | 0.509377i | 0.330559 | − | 0.0435190i | 0.0365800 | − | 0.999331i | \(-0.488354\pi\) |
0.293979 | + | 0.955812i | \(0.405020\pi\) | |||||||
\(138\) | 0.645157 | + | 0.696591i | 0.0549194 | + | 0.0592978i | ||||
\(139\) | −4.14562 | − | 8.40648i | −0.351627 | − | 0.713028i | 0.647156 | − | 0.762358i | \(-0.275958\pi\) |
−0.998783 | + | 0.0493294i | \(0.984292\pi\) | |||||||
\(140\) | −2.49663 | − | 0.655941i | −0.211004 | − | 0.0554371i | ||||
\(141\) | −11.0083 | − | 6.47404i | −0.927069 | − | 0.545213i | ||||
\(142\) | 10.1524 | + | 10.7867i | 0.851966 | + | 0.905202i | ||||
\(143\) | 0.0468148 | − | 0.0468148i | 0.00391485 | − | 0.00391485i | ||||
\(144\) | −7.36500 | + | 9.47400i | −0.613750 | + | 0.789500i | ||||
\(145\) | 8.08283 | + | 8.08283i | 0.671243 | + | 0.671243i | ||||
\(146\) | −0.231649 | + | 7.64612i | −0.0191714 | + | 0.632797i | ||||
\(147\) | −11.8393 | − | 0.0950417i | −0.976492 | − | 0.00783891i | ||||
\(148\) | 13.7269 | + | 10.4271i | 1.12835 | + | 0.857102i | ||||
\(149\) | 6.39020 | − | 3.15130i | 0.523505 | − | 0.258164i | −0.161281 | − | 0.986909i | \(-0.551562\pi\) |
0.684786 | + | 0.728744i | \(0.259896\pi\) | |||||||
\(150\) | 6.70426 | − | 10.6481i | 0.547400 | − | 0.869417i | ||||
\(151\) | 0.960797 | + | 7.29798i | 0.0781886 | + | 0.593901i | 0.985024 | + | 0.172417i | \(0.0551575\pi\) |
−0.906836 | + | 0.421485i | \(0.861509\pi\) | |||||||
\(152\) | 6.62900 | + | 5.35963i | 0.537683 | + | 0.434723i | ||||
\(153\) | 1.92729 | + | 7.68413i | 0.155812 | + | 0.621225i | ||||
\(154\) | 0.00617173 | − | 0.0165199i | 0.000497332 | − | 0.00133121i | ||||
\(155\) | 21.3033 | − | 18.6825i | 1.71112 | − | 1.50062i | ||||
\(156\) | 7.19556 | + | 1.95237i | 0.576106 | + | 0.156315i | ||||
\(157\) | −21.8899 | + | 1.43474i | −1.74701 | + | 0.114505i | −0.905122 | − | 0.425151i | \(-0.860221\pi\) |
−0.841885 | + | 0.539656i | \(0.818554\pi\) | |||||||
\(158\) | −12.9473 | + | 1.30707i | −1.03003 | + | 0.103985i | ||||
\(159\) | 10.6684 | + | 12.3639i | 0.846063 | + | 0.980517i | ||||
\(160\) | −17.9441 | − | 1.54674i | −1.41860 | − | 0.122281i | ||||
\(161\) | − | 0.157132i | − | 0.0123837i | ||||||
\(162\) | 9.59494 | + | 8.36285i | 0.753849 | + | 0.657047i | ||||
\(163\) | 11.7145 | + | 17.5319i | 0.917547 | + | 1.37321i | 0.927728 | + | 0.373258i | \(0.121759\pi\) |
−0.0101807 | + | 0.999948i | \(0.503241\pi\) | |||||||
\(164\) | 1.99066 | − | 10.2692i | 0.155445 | − | 0.801887i | ||||
\(165\) | 0.133746 | + | 0.104344i | 0.0104122 | + | 0.00812315i | ||||
\(166\) | −0.939007 | + | 0.774462i | −0.0728811 | + | 0.0601099i | ||||
\(167\) | −0.343578 | + | 2.60973i | −0.0265869 | + | 0.201947i | −0.999583 | − | 0.0288738i | \(-0.990808\pi\) |
0.972996 | + | 0.230821i | \(0.0741412\pi\) | |||||||
\(168\) | 1.95967 | − | 0.322106i | 0.151192 | − | 0.0248510i | ||||
\(169\) | 1.09220 | + | 8.29610i | 0.0840155 | + | 0.638161i | ||||
\(170\) | −8.10689 | + | 8.69804i | −0.621770 | + | 0.667109i | ||||
\(171\) | 6.07000 | − | 6.70135i | 0.464184 | − | 0.512465i | ||||
\(172\) | 1.16823 | + | 1.50719i | 0.0890765 | + | 0.114922i | ||||
\(173\) | 9.09369 | − | 3.08689i | 0.691380 | − | 0.234692i | 0.0464357 | − | 0.998921i | \(-0.485214\pi\) |
0.644945 | + | 0.764229i | \(0.276880\pi\) | |||||||
\(174\) | −8.21318 | − | 3.14374i | −0.622639 | − | 0.238327i | ||||
\(175\) | −2.01148 | + | 0.538974i | −0.152053 | + | 0.0407426i | ||||
\(176\) | 0.0228267 | − | 0.120908i | 0.00172062 | − | 0.00911375i | ||||
\(177\) | 0.881322 | + | 0.599169i | 0.0662442 | + | 0.0450363i | ||||
\(178\) | −13.5583 | + | 12.7609i | −1.01624 | + | 0.956472i | ||||
\(179\) | 12.2169 | + | 2.43009i | 0.913133 | + | 0.181633i | 0.629229 | − | 0.777220i | \(-0.283371\pi\) |
0.283903 | + | 0.958853i | \(0.408371\pi\) | |||||||
\(180\) | −2.70503 | + | 18.9107i | −0.201621 | + | 1.40952i | ||||
\(181\) | 12.5041 | − | 18.7138i | 0.929426 | − | 1.39098i | 0.00904590 | − | 0.999959i | \(-0.497121\pi\) |
0.920380 | − | 0.391025i | \(-0.127879\pi\) | |||||||
\(182\) | −0.654135 | − | 1.04624i | −0.0484877 | − | 0.0775523i | ||||
\(183\) | 14.7516 | − | 16.5510i | 1.09047 | − | 1.22348i | ||||
\(184\) | −0.186495 | − | 1.08036i | −0.0137486 | − | 0.0796451i | ||||
\(185\) | 27.2071 | + | 3.58188i | 2.00031 | + | 0.263345i | ||||
\(186\) | −9.10760 | + | 19.8057i | −0.667801 | + | 1.45222i | ||||
\(187\) | −0.0535591 | − | 0.0610725i | −0.00391663 | − | 0.00446606i | ||||
\(188\) | 6.58666 | + | 13.1939i | 0.480382 | + | 0.962262i | ||||
\(189\) | −0.224576 | − | 2.09443i | −0.0163355 | − | 0.152347i | ||||
\(190\) | 13.3947 | + | 2.17794i | 0.971754 | + | 0.158005i | ||||
\(191\) | 4.52183 | + | 7.83204i | 0.327188 | + | 0.566707i | 0.981953 | − | 0.189126i | \(-0.0605655\pi\) |
−0.654765 | + | 0.755833i | \(0.727232\pi\) | |||||||
\(192\) | 13.0914 | − | 4.54050i | 0.944788 | − | 0.327682i | ||||
\(193\) | 2.30543 | − | 3.99313i | 0.165949 | − | 0.287432i | −0.771043 | − | 0.636783i | \(-0.780265\pi\) |
0.936992 | + | 0.349351i | \(0.113598\pi\) | |||||||
\(194\) | 3.14776 | − | 3.85469i | 0.225996 | − | 0.276750i | ||||
\(195\) | 11.4888 | − | 2.97979i | 0.822733 | − | 0.213387i | ||||
\(196\) | 11.4042 | + | 7.53987i | 0.814585 | + | 0.538562i | ||||
\(197\) | 21.5468 | − | 4.28592i | 1.53514 | − | 0.305359i | 0.646126 | − | 0.763231i | \(-0.276388\pi\) |
0.889018 | + | 0.457872i | \(0.151388\pi\) | |||||||
\(198\) | −0.126683 | − | 0.0313630i | −0.00900296 | − | 0.00222887i | ||||
\(199\) | −4.24496 | − | 10.2482i | −0.300917 | − | 0.726479i | −0.999935 | − | 0.0113747i | \(-0.996379\pi\) |
0.699018 | − | 0.715104i | \(-0.253621\pi\) | |||||||
\(200\) | −13.1902 | + | 6.09306i | −0.932687 | + | 0.430844i | ||||
\(201\) | 5.29124 | + | 1.09672i | 0.373215 | + | 0.0773567i | ||||
\(202\) | 7.59437 | − | 14.2918i | 0.534338 | − | 1.00557i | ||||
\(203\) | 0.643719 | + | 1.30533i | 0.0451802 | + | 0.0916164i | ||||
\(204\) | 2.96772 | − | 8.65292i | 0.207782 | − | 0.605826i | ||||
\(205\) | −5.35265 | − | 15.7684i | −0.373845 | − | 1.10131i | ||||
\(206\) | 4.52632 | + | 19.2005i | 0.315364 | + | 1.33777i | ||||
\(207\) | −1.15518 | + | 0.133253i | −0.0802907 | + | 0.00926172i | ||||
\(208\) | −5.73924 | − | 6.41702i | −0.397945 | − | 0.444940i | ||||
\(209\) | −0.0239953 | + | 0.0895516i | −0.00165979 | + | 0.00619441i | ||||
\(210\) | 2.45505 | − | 1.99195i | 0.169415 | − | 0.137458i | ||||
\(211\) | 6.15884 | + | 5.40116i | 0.423992 | + | 0.371831i | 0.844588 | − | 0.535417i | \(-0.179846\pi\) |
−0.420596 | + | 0.907248i | \(0.638179\pi\) | |||||||
\(212\) | −2.55241 | − | 18.6831i | −0.175301 | − | 1.28316i | ||||
\(213\) | −18.0053 | + | 2.22355i | −1.23370 | + | 0.152355i | ||||
\(214\) | −17.3142 | − | 3.99262i | −1.18357 | − | 0.272930i | ||||
\(215\) | 2.80462 | + | 1.16171i | 0.191273 | + | 0.0792280i | ||||
\(216\) | −4.02987 | − | 14.1337i | −0.274198 | − | 0.961673i | ||||
\(217\) | 3.33311 | − | 1.38062i | 0.226266 | − | 0.0937224i | ||||
\(218\) | 2.73061 | + | 16.2918i | 0.184940 | + | 1.10342i | ||||
\(219\) | −7.38678 | − | 5.76287i | −0.499152 | − | 0.389419i | ||||
\(220\) | −0.0638661 | − | 0.185172i | −0.00430585 | − | 0.0124843i | ||||
\(221\) | −5.67139 | + | 0.371723i | −0.381499 | + | 0.0250048i | ||||
\(222\) | −20.2372 | + | 6.01556i | −1.35823 | + | 0.403738i | ||||
\(223\) | 15.8032 | − | 9.12398i | 1.05826 | − | 0.610987i | 0.133310 | − | 0.991074i | \(-0.457439\pi\) |
0.924951 | + | 0.380088i | \(0.124106\pi\) | |||||||
\(224\) | −2.10017 | − | 0.920886i | −0.140323 | − | 0.0615293i | ||||
\(225\) | 5.66815 | + | 14.3306i | 0.377877 | + | 0.955375i | ||||
\(226\) | 8.28930 | + | 11.5083i | 0.551396 | + | 0.765523i | ||||
\(227\) | 1.75169 | − | 3.55207i | 0.116264 | − | 0.235759i | −0.830960 | − | 0.556332i | \(-0.812208\pi\) |
0.947224 | + | 0.320572i | \(0.103875\pi\) | |||||||
\(228\) | −10.0932 | + | 2.67040i | −0.668439 | + | 0.176852i | ||||
\(229\) | −22.1565 | − | 7.52112i | −1.46414 | − | 0.497009i | −0.528187 | − | 0.849128i | \(-0.677128\pi\) |
−0.935955 | + | 0.352118i | \(0.885461\pi\) | |||||||
\(230\) | −1.11049 | − | 1.34643i | −0.0732234 | − | 0.0887807i | ||||
\(231\) | 0.0118550 | + | 0.0180543i | 0.000780000 | + | 0.00118789i | ||||
\(232\) | 5.97513 | + | 8.21079i | 0.392287 | + | 0.539065i | ||||
\(233\) | −4.03147 | − | 1.66989i | −0.264110 | − | 0.109398i | 0.246699 | − | 0.969092i | \(-0.420654\pi\) |
−0.510809 | + | 0.859694i | \(0.670654\pi\) | |||||||
\(234\) | −7.13686 | + | 5.69622i | −0.466551 | + | 0.372374i | ||||
\(235\) | 19.5192 | + | 13.0423i | 1.27329 | + | 0.850787i | ||||
\(236\) | −0.476457 | − | 1.13459i | −0.0310147 | − | 0.0738556i | ||||
\(237\) | 8.07940 | − | 13.7381i | 0.524814 | − | 0.892383i | ||||
\(238\) | −1.33341 | + | 0.716908i | −0.0864322 | + | 0.0464702i | ||||
\(239\) | −20.4662 | + | 5.48389i | −1.32385 | + | 0.354724i | −0.850417 | − | 0.526108i | \(-0.823651\pi\) |
−0.473429 | + | 0.880832i | \(0.656984\pi\) | |||||||
\(240\) | 14.5155 | − | 16.6094i | 0.936972 | − | 1.07214i | ||||
\(241\) | 6.33262 | + | 1.69682i | 0.407920 | + | 0.109302i | 0.456943 | − | 0.889496i | \(-0.348944\pi\) |
−0.0490235 | + | 0.998798i | \(0.515611\pi\) | |||||||
\(242\) | −15.1400 | + | 3.56909i | −0.973237 | + | 0.229430i | ||||
\(243\) | −15.2071 | + | 3.42714i | −0.975533 | + | 0.219851i | ||||
\(244\) | −24.6957 | + | 6.74642i | −1.58098 | + | 0.431895i | ||||
\(245\) | 21.7172 | + | 1.42342i | 1.38746 | + | 0.0909390i | ||||
\(246\) | 8.70526 | + | 9.39927i | 0.555027 | + | 0.599275i | ||||
\(247\) | 3.94891 | + | 5.14631i | 0.251263 | + | 0.327452i | ||||
\(248\) | 21.2781 | − | 13.4484i | 1.35116 | − | 0.853972i | ||||
\(249\) | −0.0855545 | − | 1.48828i | −0.00542180 | − | 0.0943157i | ||||
\(250\) | −0.357972 | + | 0.502130i | −0.0226401 | + | 0.0317575i | ||||
\(251\) | −9.64587 | + | 1.91868i | −0.608842 | + | 0.121106i | −0.489876 | − | 0.871792i | \(-0.662958\pi\) |
−0.118966 | + | 0.992898i | \(0.537958\pi\) | |||||||
\(252\) | −1.10010 | + | 2.16930i | −0.0692996 | + | 0.136653i | ||||
\(253\) | 0.00991390 | − | 0.00662425i | 0.000623281 | − | 0.000416463i | ||||
\(254\) | 1.39169 | − | 0.527672i | 0.0873224 | − | 0.0331091i | ||||
\(255\) | −2.72626 | − | 14.3050i | −0.170725 | − | 0.895815i | ||||
\(256\) | −15.5326 | − | 3.83892i | −0.970790 | − | 0.239932i | ||||
\(257\) | 14.5661 | − | 25.2293i | 0.908611 | − | 1.57376i | 0.0926147 | − | 0.995702i | \(-0.470478\pi\) |
0.815996 | − | 0.578058i | \(-0.196189\pi\) | |||||||
\(258\) | −2.33464 | + | 0.0633669i | −0.145348 | + | 0.00394505i | ||||
\(259\) | 3.13369 | + | 1.54537i | 0.194718 | + | 0.0960244i | ||||
\(260\) | −12.9991 | − | 4.34204i | −0.806171 | − | 0.269282i | ||||
\(261\) | 9.05047 | − | 5.83936i | 0.560210 | − | 0.361448i | ||||
\(262\) | −13.2324 | − | 29.0162i | −0.817503 | − | 1.79263i | ||||
\(263\) | −0.919586 | + | 1.19843i | −0.0567041 | + | 0.0738982i | −0.820844 | − | 0.571152i | \(-0.806497\pi\) |
0.764140 | + | 0.645050i | \(0.223163\pi\) | |||||||
\(264\) | 0.102937 | + | 0.110062i | 0.00633532 | + | 0.00677383i | ||||
\(265\) | −18.2741 | − | 23.8153i | −1.12257 | − | 1.46296i | ||||
\(266\) | 1.52583 | + | 0.810795i | 0.0935544 | + | 0.0497130i | ||||
\(267\) | −2.79488 | − | 22.6317i | −0.171044 | − | 1.38504i | ||||
\(268\) | −4.43356 | − | 4.39054i | −0.270823 | − | 0.268195i | ||||
\(269\) | −18.8821 | − | 3.75588i | −1.15126 | − | 0.229000i | −0.417676 | − | 0.908596i | \(-0.637155\pi\) |
−0.733587 | + | 0.679596i | \(0.762155\pi\) | |||||||
\(270\) | −16.7261 | − | 16.3595i | −1.01792 | − | 0.995607i | ||||
\(271\) | −16.6291 | + | 16.6291i | −1.01015 | + | 1.01015i | −0.0101995 | + | 0.999948i | \(0.503247\pi\) |
−0.999948 | + | 0.0101995i | \(0.996753\pi\) | |||||||
\(272\) | −8.31697 | + | 6.51167i | −0.504291 | + | 0.394828i | ||||
\(273\) | 1.50713 | + | 0.110940i | 0.0912159 | + | 0.00671438i | ||||
\(274\) | 4.86092 | − | 2.61347i | 0.293659 | − | 0.157886i | ||||
\(275\) | −0.118804 | − | 0.104188i | −0.00716413 | − | 0.00628278i | ||||
\(276\) | 1.20238 | + | 0.597668i | 0.0723750 | + | 0.0359754i | ||||
\(277\) | −1.39245 | + | 21.2447i | −0.0836641 | + | 1.27647i | 0.725227 | + | 0.688510i | \(0.241735\pi\) |
−0.808891 | + | 0.587958i | \(0.799932\pi\) | |||||||
\(278\) | −9.69682 | − | 9.03779i | −0.581577 | − | 0.542051i | ||||
\(279\) | −12.9764 | − | 23.3330i | −0.776877 | − | 1.39691i | ||||
\(280\) | −3.63031 | + | 0.384382i | −0.216952 | + | 0.0229712i | ||||
\(281\) | 5.87335 | + | 4.50678i | 0.350375 | + | 0.268852i | 0.768921 | − | 0.639343i | \(-0.220794\pi\) |
−0.418547 | + | 0.908195i | \(0.637460\pi\) | |||||||
\(282\) | −17.8029 | − | 3.04158i | −1.06015 | − | 0.181124i | ||||
\(283\) | 18.5377 | + | 6.29269i | 1.10195 | + | 0.374062i | 0.812400 | − | 0.583101i | \(-0.198161\pi\) |
0.289551 | + | 0.957163i | \(0.406494\pi\) | |||||||
\(284\) | 18.8333 | + | 9.17365i | 1.11755 | + | 0.544356i | ||||
\(285\) | −11.8465 | + | 11.6578i | −0.701723 | + | 0.690547i | ||||
\(286\) | 0.0384335 | − | 0.0853777i | 0.00227262 | − | 0.00504849i | ||||
\(287\) | − | 2.12022i | − | 0.125153i | ||||||
\(288\) | −4.98903 | + | 16.2207i | −0.293981 | + | 0.955811i | ||||
\(289\) | − | 10.0266i | − | 0.589802i | ||||||
\(290\) | 14.7409 | + | 6.63577i | 0.865618 | + | 0.389666i | ||||
\(291\) | 1.53022 | + | 5.89991i | 0.0897033 | + | 0.345859i | ||||
\(292\) | 3.52730 | + | 10.2270i | 0.206420 | + | 0.598490i | ||||
\(293\) | −18.0246 | − | 6.11854i | −1.05301 | − | 0.357449i | −0.259333 | − | 0.965788i | \(-0.583503\pi\) |
−0.793677 | + | 0.608339i | \(0.791836\pi\) | |||||||
\(294\) | −15.7034 | + | 5.81035i | −0.915843 | + | 0.338867i | ||||
\(295\) | −1.55417 | − | 1.19255i | −0.0904871 | − | 0.0694332i | ||||
\(296\) | 23.3798 | + | 6.90587i | 1.35892 | + | 0.401395i | ||||
\(297\) | 0.122676 | − | 0.102464i | 0.00711836 | − | 0.00594558i | ||||
\(298\) | 6.87009 | − | 7.37105i | 0.397974 | − | 0.426994i | ||||
\(299\) | 0.0545628 | − | 0.832468i | 0.00315545 | − | 0.0481429i | ||||
\(300\) | 3.52661 | − | 17.4420i | 0.203609 | − | 1.00701i | ||||
\(301\) | 0.290600 | + | 0.254849i | 0.0167499 | + | 0.0146893i | ||||
\(302\) | 4.92959 | + | 9.16877i | 0.283666 | + | 0.527604i | ||||
\(303\) | 8.62386 | + | 17.8472i | 0.495428 | + | 1.02530i | ||||
\(304\) | 11.4531 | + | 3.76366i | 0.656880 | + | 0.215860i | ||||
\(305\) | −28.8177 | + | 28.8177i | −1.65010 | + | 1.65010i | ||||
\(306\) | 6.40124 | + | 9.19482i | 0.365934 | + | 0.525633i | ||||
\(307\) | 23.1292 | + | 4.60069i | 1.32005 | + | 0.262575i | 0.804332 | − | 0.594180i | \(-0.202523\pi\) |
0.515723 | + | 0.856755i | \(0.327523\pi\) | |||||||
\(308\) | −0.000121601 | − | 0.0249396i | −6.92887e−6 | − | 0.00142106i | ||||
\(309\) | −22.2463 | − | 9.42465i | −1.26555 | − | 0.536150i | ||||
\(310\) | 18.8034 | − | 35.3860i | 1.06796 | − | 2.00979i | ||||
\(311\) | −4.85209 | − | 6.32336i | −0.275137 | − | 0.358565i | 0.635262 | − | 0.772296i | \(-0.280892\pi\) |
−0.910399 | + | 0.413731i | \(0.864225\pi\) | |||||||
\(312\) | 10.4939 | − | 1.02600i | 0.594103 | − | 0.0580859i | ||||
\(313\) | 8.76084 | − | 11.4174i | 0.495192 | − | 0.645347i | −0.477174 | − | 0.878809i | \(-0.658339\pi\) |
0.972366 | + | 0.233462i | \(0.0750054\pi\) | |||||||
\(314\) | −28.2269 | + | 12.8725i | −1.59293 | + | 0.726435i | ||||
\(315\) | 0.191182 | + | 3.86732i | 0.0107719 | + | 0.217899i | ||||
\(316\) | −16.4655 | + | 8.21995i | −0.926259 | + | 0.462408i | ||||
\(317\) | 0.696789 | + | 0.343618i | 0.0391355 | + | 0.0192995i | 0.461751 | − | 0.887009i | \(-0.347221\pi\) |
−0.422616 | + | 0.906309i | \(0.638888\pi\) | |||||||
\(318\) | 20.3065 | + | 11.0004i | 1.13873 | + | 0.616872i | ||||
\(319\) | −0.0552196 | + | 0.0956432i | −0.00309171 | + | 0.00535499i | ||||
\(320\) | −24.5039 | + | 6.95151i | −1.36981 | + | 0.388601i | ||||
\(321\) | 16.4762 | − | 14.2169i | 0.919610 | − | 0.793508i | ||||
\(322\) | −0.0787832 | − | 0.207784i | −0.00439042 | − | 0.0115793i | ||||
\(323\) | 6.61757 | − | 4.42172i | 0.368211 | − | 0.246031i | ||||
\(324\) | 16.8809 | + | 6.24790i | 0.937826 | + | 0.347106i | ||||
\(325\) | −10.8437 | + | 2.15695i | −0.601502 | + | 0.119646i | ||||
\(326\) | 24.2808 | + | 17.3100i | 1.34479 | + | 0.958710i | ||||
\(327\) | −18.0728 | − | 9.09360i | −0.999428 | − | 0.502877i | ||||
\(328\) | −2.51642 | − | 14.5775i | −0.138946 | − | 0.804910i | ||||
\(329\) | 1.81959 | + | 2.37134i | 0.100318 | + | 0.130736i | ||||
\(330\) | 0.229176 | + | 0.0709211i | 0.0126157 | + | 0.00390408i | ||||
\(331\) | −24.3837 | − | 1.59819i | −1.34025 | − | 0.0878447i | −0.621665 | − | 0.783283i | \(-0.713544\pi\) |
−0.718586 | + | 0.695438i | \(0.755210\pi\) | |||||||
\(332\) | −0.853397 | + | 1.49491i | −0.0468362 | + | 0.0820440i | ||||
\(333\) | 8.70354 | − | 24.3484i | 0.476951 | − | 1.33428i | ||||
\(334\) | 0.854143 | + | 3.62325i | 0.0467366 | + | 0.198256i | ||||
\(335\) | −9.59463 | − | 2.57087i | −0.524211 | − | 0.140462i | ||||
\(336\) | 2.42987 | − | 1.40848i | 0.132560 | − | 0.0768389i | ||||
\(337\) | −1.56524 | + | 0.419404i | −0.0852640 | + | 0.0228464i | −0.301199 | − | 0.953561i | \(-0.597387\pi\) |
0.215935 | + | 0.976408i | \(0.430720\pi\) | |||||||
\(338\) | 5.60379 | + | 10.4228i | 0.304806 | + | 0.566923i | ||||
\(339\) | −17.3699 | − | 0.139439i | −0.943401 | − | 0.00757327i | ||||
\(340\) | −6.35912 | + | 15.5665i | −0.344872 | + | 0.844213i | ||||
\(341\) | 0.227622 | + | 0.152092i | 0.0123264 | + | 0.00823623i | ||||
\(342\) | 4.66674 | − | 11.9049i | 0.252348 | − | 0.643745i | ||||
\(343\) | 5.18180 | + | 2.14637i | 0.279791 | + | 0.115893i | ||||
\(344\) | 2.30049 | + | 1.40731i | 0.124034 | + | 0.0758770i | ||||
\(345\) | 2.13401 | − | 0.122675i | 0.114891 | − | 0.00660460i | ||||
\(346\) | 10.4774 | − | 8.64137i | 0.563266 | − | 0.464563i | ||||
\(347\) | −22.4535 | − | 7.62193i | −1.20537 | − | 0.409167i | −0.354754 | − | 0.934960i | \(-0.615435\pi\) |
−0.850613 | + | 0.525793i | \(0.823769\pi\) | |||||||
\(348\) | −12.4369 | − | 0.0391970i | −0.666690 | − | 0.00210118i | ||||
\(349\) | 15.1627 | − | 30.7469i | 0.811641 | − | 1.64584i | 0.0491977 | − | 0.998789i | \(-0.484334\pi\) |
0.762443 | − | 0.647055i | \(-0.224000\pi\) | |||||||
\(350\) | −2.38965 | + | 1.72123i | −0.127732 | + | 0.0920037i | ||||
\(351\) | −0.462505 | − | 11.1740i | −0.0246867 | − | 0.596425i | ||||
\(352\) | −0.0304360 | − | 0.171327i | −0.00162225 | − | 0.00913178i | ||||
\(353\) | 0.292175 | − | 0.168688i | 0.0155509 | − | 0.00897833i | −0.492204 | − | 0.870480i | \(-0.663809\pi\) |
0.507755 | + | 0.861501i | \(0.330475\pi\) | |||||||
\(354\) | 1.46583 | + | 0.350434i | 0.0779080 | + | 0.0186254i | ||||
\(355\) | 33.2774 | − | 2.18112i | 1.76618 | − | 0.115762i | ||||
\(356\) | −11.5308 | + | 23.6723i | −0.611129 | + | 1.25463i | ||||
\(357\) | 0.256765 | − | 1.83630i | 0.0135895 | − | 0.0971871i | ||||
\(358\) | 17.3734 | − | 2.91189i | 0.918214 | − | 0.153898i | ||||
\(359\) | 13.5262 | − | 5.60275i | 0.713887 | − | 0.295702i | 0.00397508 | − | 0.999992i | \(-0.498735\pi\) |
0.709912 | + | 0.704290i | \(0.248735\pi\) | |||||||
\(360\) | 5.90446 | + | 26.3628i | 0.311193 | + | 1.38944i | ||||
\(361\) | 9.16150 | + | 3.79482i | 0.482184 | + | 0.199727i | ||||
\(362\) | 7.15214 | − | 31.0156i | 0.375908 | − | 1.63014i | ||||
\(363\) | 7.43152 | − | 17.5417i | 0.390054 | − | 0.920699i | ||||
\(364\) | −1.38956 | − | 1.05552i | −0.0728328 | − | 0.0553245i | ||||
\(365\) | 12.9480 | + | 11.3551i | 0.677732 | + | 0.594355i | ||||
\(366\) | 11.2084 | − | 29.2824i | 0.585871 | − | 1.53062i | ||||
\(367\) | −5.92767 | + | 22.1223i | −0.309422 | + | 1.15478i | 0.619650 | + | 0.784878i | \(0.287274\pi\) |
−0.929072 | + | 0.369899i | \(0.879392\pi\) | |||||||
\(368\) | −0.788284 | − | 1.33511i | −0.0410922 | − | 0.0695974i | ||||
\(369\) | −15.5871 | + | 1.79801i | −0.811434 | + | 0.0936009i | ||||
\(370\) | 37.7733 | − | 8.90464i | 1.96374 | − | 0.462930i | ||||
\(371\) | −1.22857 | − | 3.61925i | −0.0637842 | − | 0.187902i | ||||
\(372\) | −2.11325 | + | 30.7564i | −0.109567 | + | 1.59465i | ||||
\(373\) | 5.62823 | + | 11.4129i | 0.291419 | + | 0.590939i | 0.992514 | − | 0.122129i | \(-0.0389720\pi\) |
−0.701096 | + | 0.713067i | \(0.747305\pi\) | |||||||
\(374\) | −0.101445 | − | 0.0539057i | −0.00524558 | − | 0.00278740i | ||||
\(375\) | −0.237022 | − | 0.717104i | −0.0122397 | − | 0.0370311i | ||||
\(376\) | 15.3251 | + | 14.1445i | 0.790330 | + | 0.729447i | ||||
\(377\) | 2.95708 | + | 7.13903i | 0.152298 | + | 0.367679i | ||||
\(378\) | −1.34708 | − | 2.65697i | −0.0692861 | − | 0.136660i | ||||
\(379\) | −30.2723 | + | 6.02153i | −1.55498 | + | 0.309305i | −0.896415 | − | 0.443216i | \(-0.853838\pi\) |
−0.658568 | + | 0.752521i | \(0.728838\pi\) | |||||||
\(380\) | 18.8045 | − | 3.83585i | 0.964650 | − | 0.196775i | ||||
\(381\) | −0.485913 | + | 1.75691i | −0.0248941 | + | 0.0900094i | ||||
\(382\) | 9.90630 | + | 8.08956i | 0.506850 | + | 0.413898i | ||||
\(383\) | −10.8027 | + | 18.7108i | −0.551991 | + | 0.956077i | 0.446140 | + | 0.894963i | \(0.352798\pi\) |
−0.998131 | + | 0.0611134i | \(0.980535\pi\) | |||||||
\(384\) | 15.0349 | − | 12.5679i | 0.767245 | − | 0.641354i | ||||
\(385\) | −0.0198513 | − | 0.0343834i | −0.00101171 | − | 0.00175234i | ||||
\(386\) | 1.04651 | − | 6.43623i | 0.0532661 | − | 0.327595i | ||||
\(387\) | 1.62713 | − | 2.35251i | 0.0827115 | − | 0.119585i | ||||
\(388\) | 2.22978 | − | 6.67549i | 0.113200 | − | 0.338897i | ||||
\(389\) | −0.0245867 | − | 0.0280358i | −0.00124660 | − | 0.00142147i | 0.751216 | − | 0.660056i | \(-0.229468\pi\) |
−0.752463 | + | 0.658635i | \(0.771134\pi\) | |||||||
\(390\) | 13.6983 | − | 9.70063i | 0.693640 | − | 0.491211i | ||||
\(391\) | −1.01482 | − | 0.133604i | −0.0513217 | − | 0.00675663i | ||||
\(392\) | 18.8607 | + | 4.25251i | 0.952610 | + | 0.214784i | ||||
\(393\) | 38.2455 | + | 7.92719i | 1.92923 | + | 0.399874i | ||||
\(394\) | 26.3435 | − | 16.4707i | 1.32717 | − | 0.829780i | ||||
\(395\) | −16.2764 | + | 24.3594i | −0.818955 | + | 1.22565i | ||||
\(396\) | −0.183244 | + | 0.0220435i | −0.00920837 | + | 0.00110773i | ||||
\(397\) | 9.40625 | + | 1.87102i | 0.472086 | + | 0.0939038i | 0.425399 | − | 0.905006i | \(-0.360134\pi\) |
0.0466869 | + | 0.998910i | \(0.485134\pi\) | |||||||
\(398\) | −10.7516 | − | 11.4234i | −0.538930 | − | 0.572606i | ||||
\(399\) | −1.90541 | + | 0.920706i | −0.0953900 | + | 0.0460929i | ||||
\(400\) | −14.3871 | + | 14.6705i | −0.719357 | + | 0.733525i | ||||
\(401\) | −9.91791 | + | 2.65750i | −0.495277 | + | 0.132709i | −0.497807 | − | 0.867288i | \(-0.665861\pi\) |
0.00253037 | + | 0.999997i | \(0.499195\pi\) | |||||||
\(402\) | 7.54676 | − | 1.20268i | 0.376398 | − | 0.0599843i | ||||
\(403\) | 18.1378 | − | 6.15696i | 0.903509 | − | 0.306700i | ||||
\(404\) | 2.87680 | − | 22.7064i | 0.143126 | − | 1.12969i | ||||
\(405\) | 28.2691 | − | 4.68512i | 1.40470 | − | 0.232805i | ||||
\(406\) | 1.50569 | + | 1.40336i | 0.0747263 | + | 0.0696476i | ||||
\(407\) | 0.0346064 | + | 0.262862i | 0.00171538 | + | 0.0130296i | ||||
\(408\) | −0.414051 | − | 12.9302i | −0.0204986 | − | 0.640139i | ||||
\(409\) | 4.33928 | − | 32.9601i | 0.214564 | − | 1.62977i | −0.457451 | − | 0.889235i | \(-0.651237\pi\) |
0.672014 | − | 0.740538i | \(-0.265429\pi\) | |||||||
\(410\) | −14.9841 | − | 18.1676i | −0.740010 | − | 0.897236i | ||||
\(411\) | −0.936033 | + | 6.69418i | −0.0461711 | + | 0.330199i | ||||
\(412\) | 15.6122 | + | 23.1205i | 0.769158 | + | 1.13906i | ||||
\(413\) | −0.138574 | − | 0.207391i | −0.00681878 | − | 0.0102050i | ||||
\(414\) | −1.46075 | + | 0.755395i | −0.0717918 | + | 0.0371256i | ||||
\(415\) | 2.74027i | 0.134515i | ||||||||
\(416\) | −10.8067 | − | 5.60801i | −0.529841 | − | 0.274956i | ||||
\(417\) | 15.9477 | − | 3.03931i | 0.780960 | − | 0.148836i | ||||
\(418\) | 0.0131693 | + | 0.130450i | 0.000644134 | + | 0.00638049i | ||||
\(419\) | −30.6600 | + | 2.00956i | −1.49784 | + | 0.0981735i | −0.792140 | − | 0.610339i | \(-0.791033\pi\) |
−0.705698 | + | 0.708513i | \(0.749366\pi\) | |||||||
\(420\) | 2.24772 | − | 3.86498i | 0.109677 | − | 0.188592i | ||||
\(421\) | −10.2199 | + | 8.96263i | −0.498088 | + | 0.436812i | −0.871166 | − | 0.490988i | \(-0.836636\pi\) |
0.373078 | + | 0.927800i | \(0.378302\pi\) | |||||||
\(422\) | 10.8522 | + | 4.05431i | 0.528277 | + | 0.197360i | ||||
\(423\) | 15.8902 | − | 15.3880i | 0.772609 | − | 0.748191i | ||||
\(424\) | −12.7426 | − | 23.4259i | −0.618834 | − | 1.13766i | ||||
\(425\) | 1.77062 | + | 13.4492i | 0.0858876 | + | 0.652381i | ||||
\(426\) | −22.6945 | + | 11.9679i | −1.09955 | + | 0.579845i | ||||
\(427\) | −4.65390 | + | 2.29505i | −0.225218 | + | 0.111065i | ||||
\(428\) | −24.8973 | + | 3.40137i | −1.20346 | + | 0.164411i | ||||
\(429\) | 0.0565371 | + | 0.0997662i | 0.00272964 | + | 0.00481676i | ||||
\(430\) | 4.29115 | + | 0.130006i | 0.206938 | + | 0.00626944i | ||||
\(431\) | 15.9011 | + | 15.9011i | 0.765928 | + | 0.765928i | 0.977387 | − | 0.211459i | \(-0.0678215\pi\) |
−0.211459 | + | 0.977387i | \(0.567821\pi\) | |||||||
\(432\) | −12.4153 | − | 16.6692i | −0.597330 | − | 0.801996i | ||||
\(433\) | 20.6366 | − | 20.6366i | 0.991731 | − | 0.991731i | −0.00823523 | − | 0.999966i | \(-0.502621\pi\) |
0.999966 | + | 0.00823523i | \(0.00262139\pi\) | |||||||
\(434\) | 3.71532 | − | 3.49682i | 0.178341 | − | 0.167853i | ||||
\(435\) | −17.2252 | + | 9.76145i | −0.825885 | + | 0.468026i | ||||
\(436\) | 11.7792 | + | 20.1744i | 0.564124 | + | 0.966181i | ||||
\(437\) | 0.516697 | + | 1.04776i | 0.0247170 | + | 0.0501210i | ||||
\(438\) | −12.6573 | − | 3.91695i | −0.604790 | − | 0.187159i | ||||
\(439\) | 5.93294 | − | 0.781087i | 0.283164 | − | 0.0372792i | 0.0123935 | − | 0.999923i | \(-0.496055\pi\) |
0.270770 | + | 0.962644i | \(0.412722\pi\) | |||||||
\(440\) | −0.177296 | − | 0.212842i | −0.00845223 | − | 0.0101468i | ||||
\(441\) | 5.62492 | − | 19.7205i | 0.267853 | − | 0.939070i | ||||
\(442\) | −7.31320 | + | 3.33508i | −0.347854 | + | 0.158634i | ||||
\(443\) | −25.1439 | − | 28.6711i | −1.19462 | − | 1.36221i | −0.915685 | − | 0.401897i | \(-0.868351\pi\) |
−0.278937 | − | 0.960309i | \(-0.589982\pi\) | |||||||
\(444\) | −23.7446 | + | 18.1012i | −1.12687 | + | 0.859047i | ||||
\(445\) | 2.74154 | + | 41.8279i | 0.129962 | + | 1.98283i | ||||
\(446\) | 16.3228 | − | 19.9886i | 0.772907 | − | 0.946486i | ||||
\(447\) | 2.31034 | + | 12.1226i | 0.109275 | + | 0.573381i | ||||
\(448\) | −3.23888 | − | 0.164750i | −0.153023 | − | 0.00778368i | ||||
\(449\) | −3.11348 | −0.146934 | −0.0734671 | − | 0.997298i | \(-0.523406\pi\) | ||||
−0.0734671 | + | 0.997298i | \(0.523406\pi\) | |||||||
\(450\) | 14.6804 | + | 16.1082i | 0.692041 | + | 0.759350i | ||||
\(451\) | 0.133771 | − | 0.0893827i | 0.00629901 | − | 0.00420886i | ||||
\(452\) | 16.7314 | + | 11.0620i | 0.786981 | + | 0.520312i | ||||
\(453\) | −12.6267 | − | 1.76557i | −0.593254 | − | 0.0829535i | ||||
\(454\) | 0.535404 | − | 5.57536i | 0.0251278 | − | 0.261665i | ||||
\(455\) | −2.75415 | − | 0.362590i | −0.129116 | − | 0.0169985i | ||||
\(456\) | −12.0079 | + | 8.59177i | −0.562321 | + | 0.402346i | ||||
\(457\) | 17.0061 | − | 2.23890i | 0.795512 | − | 0.104731i | 0.278195 | − | 0.960525i | \(-0.410264\pi\) |
0.517317 | + | 0.855794i | \(0.326931\pi\) | |||||||
\(458\) | −33.0697 | + | 1.16330i | −1.54524 | + | 0.0543575i | ||||
\(459\) | −13.7176 | − | 0.330415i | −0.640281 | − | 0.0154225i | ||||
\(460\) | −2.14353 | − | 1.22367i | −0.0999426 | − | 0.0570539i | ||||
\(461\) | −3.59401 | − | 10.5876i | −0.167390 | − | 0.493114i | 0.830573 | − | 0.556909i | \(-0.188013\pi\) |
−0.997963 | + | 0.0637950i | \(0.979680\pi\) | |||||||
\(462\) | 0.0247286 | + | 0.0179303i | 0.00115048 | + | 0.000834192i | ||||
\(463\) | −1.64657 | − | 6.14510i | −0.0765228 | − | 0.285587i | 0.917051 | − | 0.398769i | \(-0.130562\pi\) |
−0.993574 | + | 0.113182i | \(0.963896\pi\) | |||||||
\(464\) | 12.0180 | + | 7.86173i | 0.557920 | + | 0.364972i | ||||
\(465\) | 21.3524 | + | 44.1891i | 0.990194 | + | 2.04922i | ||||
\(466\) | −6.16828 | − | 0.186876i | −0.285740 | − | 0.00865686i | ||||
\(467\) | −5.41817 | + | 27.2390i | −0.250723 | + | 1.26047i | 0.626132 | + | 0.779717i | \(0.284637\pi\) |
−0.876856 | + | 0.480754i | \(0.840363\pi\) | |||||||
\(468\) | −6.58146 | + | 11.1107i | −0.304228 | + | 0.513592i | ||||
\(469\) | −1.05158 | − | 0.702644i | −0.0485575 | − | 0.0324451i | ||||
\(470\) | 32.3505 | + | 7.45996i | 1.49222 | + | 0.344102i | ||||
\(471\) | 7.71153 | − | 37.2051i | 0.355328 | − | 1.71432i | ||||
\(472\) | −1.19891 | − | 1.26144i | −0.0551842 | − | 0.0580626i | ||||
\(473\) | −0.00382825 | + | 0.0290785i | −0.000176023 | + | 0.00133703i | ||||
\(474\) | 3.79580 | − | 22.2174i | 0.174347 | − | 1.02048i | ||||
\(475\) | 11.6402 | − | 10.2082i | 0.534091 | − | 0.468385i | ||||
\(476\) | −1.40379 | + | 1.61655i | −0.0643428 | + | 0.0740946i | ||||
\(477\) | −25.5656 | + | 12.1013i | −1.17057 | + | 0.554079i | ||||
\(478\) | −24.3140 | + | 17.5130i | −1.11209 | + | 0.801026i | ||||
\(479\) | −9.88681 | + | 5.70815i | −0.451740 | + | 0.260812i | −0.708565 | − | 0.705646i | \(-0.750657\pi\) |
0.256825 | + | 0.966458i | \(0.417324\pi\) | |||||||
\(480\) | 10.8669 | − | 29.2414i | 0.496006 | − | 1.33468i | ||||
\(481\) | 16.0653 | + | 9.27533i | 0.732516 | + | 0.422918i | ||||
\(482\) | 9.22471 | − | 0.931267i | 0.420174 | − | 0.0424180i | ||||
\(483\) | 0.262313 | + | 0.0725484i | 0.0119357 | + | 0.00330107i | ||||
\(484\) | −18.2310 | + | 12.3105i | −0.828680 | + | 0.559570i | ||||
\(485\) | −2.18581 | − | 10.9888i | −0.0992523 | − | 0.498975i | ||||
\(486\) | −18.3908 | + | 12.1564i | −0.834223 | + | 0.551427i | ||||
\(487\) | 25.2253 | − | 10.4487i | 1.14307 | − | 0.473474i | 0.270863 | − | 0.962618i | \(-0.412691\pi\) |
0.872203 | + | 0.489144i | \(0.162691\pi\) | |||||||
\(488\) | −29.2739 | + | 21.3031i | −1.32517 | + | 0.964347i | ||||
\(489\) | −34.6760 | + | 11.4613i | −1.56810 | + | 0.518299i | ||||
\(490\) | 29.4315 | − | 9.00635i | 1.32958 | − | 0.406865i | ||||
\(491\) | −36.9900 | + | 18.2414i | −1.66933 | + | 0.823225i | −0.672820 | + | 0.739806i | \(0.734917\pi\) |
−0.996515 | + | 0.0834184i | \(0.973416\pi\) | |||||||
\(492\) | 16.2240 | + | 8.06448i | 0.731437 | + | 0.363575i | ||||
\(493\) | 8.97768 | − | 3.04751i | 0.404334 | − | 0.137253i | ||||
\(494\) | 7.80211 | + | 4.82533i | 0.351034 | + | 0.217102i | ||||
\(495\) | −0.235940 | + | 0.175098i | −0.0106047 | + | 0.00787007i | ||||
\(496\) | 21.3944 | − | 28.4519i | 0.960636 | − | 1.27753i | ||||
\(497\) | 4.10144 | + | 1.09898i | 0.183975 | + | 0.0492958i | ||||
\(498\) | −0.859329 | − | 1.92513i | −0.0385074 | − | 0.0862672i | ||||
\(499\) | 2.16111 | − | 2.46427i | 0.0967445 | − | 0.110316i | −0.701442 | − | 0.712727i | \(-0.747460\pi\) |
0.798186 | + | 0.602411i | \(0.205793\pi\) | |||||||
\(500\) | −0.221606 | + | 0.843474i | −0.00991052 | + | 0.0377213i | ||||
\(501\) | −4.19801 | − | 1.77849i | −0.187553 | − | 0.0794569i | ||||
\(502\) | −11.7932 | + | 7.37344i | −0.526358 | + | 0.329093i | ||||
\(503\) | −4.07027 | + | 9.82651i | −0.181484 | + | 0.438142i | −0.988273 | − | 0.152698i | \(-0.951204\pi\) |
0.806788 | + | 0.590840i | \(0.201204\pi\) | |||||||
\(504\) | −0.367068 | + | 3.42015i | −0.0163505 | + | 0.152345i | ||||
\(505\) | −13.9435 | − | 33.6625i | −0.620476 | − | 1.49796i | ||||
\(506\) | 0.00978838 | − | 0.0137302i | 0.000435147 | − | 0.000610384i | ||||
\(507\) | −14.3536 | − | 2.00704i | −0.637466 | − | 0.0891356i | ||||
\(508\) | 1.57574 | − | 1.39554i | 0.0699121 | − | 0.0619169i | ||||
\(509\) | 1.66370 | + | 25.3832i | 0.0737423 | + | 1.12509i | 0.861047 | + | 0.508525i | \(0.169809\pi\) |
−0.787305 | + | 0.616564i | \(0.788524\pi\) | |||||||
\(510\) | −10.7774 | − | 17.5494i | −0.477229 | − | 0.777100i | ||||
\(511\) | 1.09638 | + | 1.89898i | 0.0485010 | + | 0.0840061i | ||||
\(512\) | −22.4644 | + | 2.71138i | −0.992795 | + | 0.119827i | ||||
\(513\) | 8.38457 | + | 13.2272i | 0.370188 | + | 0.583994i | ||||
\(514\) | 6.61205 | − | 40.6652i | 0.291645 | − | 1.79367i | ||||
\(515\) | 39.8315 | + | 19.6427i | 1.75519 | + | 0.865563i | ||||
\(516\) | −3.05545 | + | 1.25434i | −0.134509 | + | 0.0552192i | ||||
\(517\) | −0.0729054 | + | 0.214773i | −0.00320638 | + | 0.00944568i | ||||
\(518\) | 4.91867 | + | 0.472342i | 0.216114 | + | 0.0207535i | ||||
\(519\) | 0.954609 | + | 16.6061i | 0.0419027 | + | 0.728925i | ||||
\(520\) | −19.3664 | + | 0.775820i | −0.849274 | + | 0.0340219i | ||||
\(521\) | 14.5210 | − | 35.0567i | 0.636174 | − | 1.53586i | −0.195562 | − | 0.980691i | \(-0.562653\pi\) |
0.831737 | − | 0.555170i | \(-0.187347\pi\) | |||||||
\(522\) | 9.04016 | − | 12.2594i | 0.395677 | − | 0.536581i | ||||
\(523\) | −3.81103 | + | 5.70362i | −0.166645 | + | 0.249402i | −0.905388 | − | 0.424586i | \(-0.860420\pi\) |
0.738743 | + | 0.673987i | \(0.235420\pi\) | |||||||
\(524\) | −32.0462 | − | 31.7352i | −1.39994 | − | 1.38636i | ||||
\(525\) | 0.0289538 | − | 3.60677i | 0.00126365 | − | 0.157412i | ||||
\(526\) | −0.615146 | + | 2.04581i | −0.0268217 | + | 0.0892014i | ||||
\(527\) | −6.08255 | − | 22.7004i | −0.264960 | − | 0.988844i | ||||
\(528\) | 0.191302 | + | 0.0939298i | 0.00832533 | + | 0.00408777i | ||||
\(529\) | −5.91395 | + | 22.0712i | −0.257128 | + | 0.959616i | ||||
\(530\) | −36.1054 | − | 22.3299i | −1.56832 | − | 0.969948i | ||||
\(531\) | −1.40715 | + | 1.19462i | −0.0610651 | + | 0.0518422i | ||||
\(532\) | 2.42420 | + | 0.307135i | 0.105102 | + | 0.0133160i | ||||
\(533\) | 0.736229 | − | 11.2327i | 0.0318896 | − | 0.486542i | ||||
\(534\) | −15.0429 | − | 28.5257i | −0.650971 | − | 1.23443i | ||||
\(535\) | −31.7364 | + | 24.3522i | −1.37209 | + | 1.05284i | ||||
\(536\) | −8.06407 | − | 3.58293i | −0.348315 | − | 0.154759i | ||||
\(537\) | −9.69732 | + | 19.2726i | −0.418470 | + | 0.831676i | ||||
\(538\) | −26.8519 | + | 4.50055i | −1.15767 | + | 0.194032i | ||||
\(539\) | 0.0410219 | + | 0.206231i | 0.00176694 | + | 0.00888299i | ||||
\(540\) | −30.3202 | − | 13.2468i | −1.30477 | − | 0.570053i | ||||
\(541\) | −0.433541 | − | 0.648840i | −0.0186394 | − | 0.0278958i | 0.822033 | − | 0.569440i | \(-0.192840\pi\) |
−0.840672 | + | 0.541544i | \(0.817840\pi\) | |||||||
\(542\) | −13.6520 | + | 30.3271i | −0.586405 | + | 1.30266i | ||||
\(543\) | 25.4672 | + | 29.5144i | 1.09290 | + | 1.26658i | ||||
\(544\) | −7.73314 | + | 12.7807i | −0.331555 | + | 0.547968i | ||||
\(545\) | 32.2073 | + | 18.5949i | 1.37961 | + | 0.796519i | ||||
\(546\) | 2.04859 | − | 0.608948i | 0.0876714 | − | 0.0260606i | ||||
\(547\) | 20.6517 | − | 41.8774i | 0.883001 | − | 1.79055i | 0.387988 | − | 0.921665i | \(-0.373170\pi\) |
0.495014 | − | 0.868885i | \(-0.335163\pi\) | |||||||
\(548\) | 5.11750 | − | 5.89311i | 0.218609 | − | 0.251741i | ||||
\(549\) | 20.8191 | + | 32.2676i | 0.888536 | + | 1.37715i | ||||
\(550\) | −0.209338 | − | 0.0782073i | −0.00892622 | − | 0.00333477i | ||||
\(551\) | −8.58464 | − | 6.58723i | −0.365718 | − | 0.280625i | ||||
\(552\) | 1.88964 | + | 0.187475i | 0.0804282 | + | 0.00797945i | ||||
\(553\) | −2.95936 | + | 2.27080i | −0.125845 | + | 0.0965641i | ||||
\(554\) | 8.81038 | + | 28.7911i | 0.374317 | + | 1.22322i | ||||
\(555\) | −18.5411 | + | 43.7652i | −0.787028 | + | 1.85773i | ||||
\(556\) | −17.3540 | − | 7.08933i | −0.735974 | − | 0.300655i | ||||
\(557\) | −3.07892 | + | 15.4788i | −0.130458 | + | 0.655856i | 0.859110 | + | 0.511791i | \(0.171018\pi\) |
−0.989568 | + | 0.144066i | \(0.953982\pi\) | |||||||
\(558\) | −28.8582 | − | 24.3484i | −1.22166 | − | 1.03075i | ||||
\(559\) | 1.45107 | + | 1.45107i | 0.0613737 | + | 0.0613737i | ||||
\(560\) | −4.60782 | + | 2.32846i | −0.194716 | + | 0.0983954i | ||||
\(561\) | 0.126682 | − | 0.0612132i | 0.00534850 | − | 0.00258442i | ||||
\(562\) | 10.0263 | + | 3.01476i | 0.422932 | + | 0.127170i | ||||
\(563\) | 13.2852 | − | 15.1488i | 0.559903 | − | 0.638447i | −0.400754 | − | 0.916186i | \(-0.631252\pi\) |
0.960657 | + | 0.277739i | \(0.0895850\pi\) | |||||||
\(564\) | −25.0667 | + | 4.90399i | −1.05550 | + | 0.206495i | ||||
\(565\) | 31.8620 | + | 2.08834i | 1.34044 | + | 0.0878573i | ||||
\(566\) | 27.6684 | − | 0.973300i | 1.16299 | − | 0.0409108i | ||||
\(567\) | 3.60008 | + | 0.592101i | 0.151189 | + | 0.0248659i | ||||
\(568\) | 29.5037 | + | 2.68814i | 1.23795 | + | 0.112792i | ||||
\(569\) | 5.21444 | − | 6.79560i | 0.218601 | − | 0.284886i | −0.671161 | − | 0.741312i | \(-0.734204\pi\) |
0.889762 | + | 0.456426i | \(0.150871\pi\) | |||||||
\(570\) | −9.82019 | + | 21.3553i | −0.411323 | + | 0.894474i | ||||
\(571\) | 3.41000 | − | 10.0455i | 0.142704 | − | 0.420392i | −0.851954 | − | 0.523616i | \(-0.824583\pi\) |
0.994658 | + | 0.103224i | \(0.0329159\pi\) | |||||||
\(572\) | 0.00801584 | − | 0.132169i | 0.000335159 | − | 0.00552628i | ||||
\(573\) | −15.1624 | + | 3.93258i | −0.633418 | + | 0.164286i | ||||
\(574\) | −1.06304 | − | 2.80368i | −0.0443705 | − | 0.117023i | ||||
\(575\) | −1.99116 | −0.0830369 | ||||||||
\(576\) | 1.53549 | + | 23.9508i | 0.0639786 | + | 0.997951i | ||||
\(577\) | −14.2572 | −0.593536 | −0.296768 | − | 0.954950i | \(-0.595909\pi\) | ||||
−0.296768 | + | 0.954950i | \(0.595909\pi\) | |||||||
\(578\) | −5.02717 | − | 13.2587i | −0.209103 | − | 0.551491i | ||||
\(579\) | 5.60163 | + | 5.69229i | 0.232796 | + | 0.236563i | ||||
\(580\) | 22.8198 | + | 1.38398i | 0.947540 | + | 0.0574666i | ||||
\(581\) | −0.112151 | + | 0.330387i | −0.00465282 | + | 0.0137068i | ||||
\(582\) | 4.98160 | + | 7.03454i | 0.206494 | + | 0.291591i | ||||
\(583\) | 0.176555 | − | 0.230091i | 0.00731218 | − | 0.00952942i | ||||
\(584\) | 9.79198 | + | 11.7552i | 0.405195 | + | 0.486433i | ||||
\(585\) | −0.330037 | + | 20.5550i | −0.0136454 | + | 0.849846i | ||||
\(586\) | −26.9027 | + | 0.946363i | −1.11134 | + | 0.0390939i | ||||
\(587\) | −17.7737 | − | 1.16495i | −0.733598 | − | 0.0480825i | −0.305975 | − | 0.952040i | \(-0.598982\pi\) |
−0.427623 | + | 0.903957i | \(0.640649\pi\) | |||||||
\(588\) | −17.8523 | + | 15.5568i | −0.736215 | + | 0.641550i | ||||
\(589\) | −17.6853 | + | 20.1662i | −0.728709 | + | 0.830934i | ||||
\(590\) | −2.65308 | − | 0.797746i | −0.109226 | − | 0.0328427i | ||||
\(591\) | −2.79339 | + | 37.9486i | −0.114905 | + | 1.56100i | ||||
\(592\) | 34.3788 | − | 2.59022i | 1.41296 | − | 0.106457i | ||||
\(593\) | −23.4360 | − | 23.4360i | −0.962400 | − | 0.962400i | 0.0369182 | − | 0.999318i | \(-0.488246\pi\) |
−0.999318 | + | 0.0369182i | \(0.988246\pi\) | |||||||
\(594\) | 0.110847 | − | 0.197001i | 0.00454809 | − | 0.00808306i | ||||
\(595\) | −0.664931 | + | 3.34283i | −0.0272595 | + | 0.137043i | ||||
\(596\) | 5.38896 | − | 13.1917i | 0.220741 | − | 0.540352i | ||||
\(597\) | 19.0681 | − | 2.35481i | 0.780407 | − | 0.0963758i | ||||
\(598\) | −0.345233 | − | 1.12817i | −0.0141176 | − | 0.0461344i | ||||
\(599\) | −5.49686 | + | 4.21789i | −0.224595 | + | 0.172338i | −0.714930 | − | 0.699196i | \(-0.753541\pi\) |
0.490334 | + | 0.871534i | \(0.336875\pi\) | |||||||
\(600\) | −4.08168 | − | 24.8326i | −0.166634 | − | 1.01379i | ||||
\(601\) | −28.1306 | − | 21.5854i | −1.14747 | − | 0.880487i | −0.153289 | − | 0.988181i | \(-0.548986\pi\) |
−0.994184 | + | 0.107695i | \(0.965653\pi\) | |||||||
\(602\) | 0.512052 | + | 0.191299i | 0.0208697 | + | 0.00779676i | ||||
\(603\) | −4.27383 | + | 8.32673i | −0.174044 | + | 0.339091i | ||||
\(604\) | 11.1157 | + | 9.65274i | 0.452292 | + | 0.392765i | ||||
\(605\) | −15.4887 | + | 31.4080i | −0.629705 | + | 1.27692i | ||||
\(606\) | 20.3521 | + | 19.2765i | 0.826746 | + | 0.783052i | ||||
\(607\) | −19.9745 | − | 11.5323i | −0.810739 | − | 0.468080i | 0.0364738 | − | 0.999335i | \(-0.488387\pi\) |
−0.847212 | + | 0.531255i | \(0.821721\pi\) | |||||||
\(608\) | 17.0321 | − | 0.765500i | 0.690742 | − | 0.0310451i | ||||
\(609\) | −2.47630 | + | 0.471935i | −0.100345 | + | 0.0191238i | ||||
\(610\) | −23.6585 | + | 52.5558i | −0.957904 | + | 2.12792i | ||||
\(611\) | 8.81658 | + | 13.1949i | 0.356681 | + | 0.533810i | ||||
\(612\) | 13.0748 | + | 8.94933i | 0.528518 | + | 0.361755i | ||||
\(613\) | 4.46840 | + | 22.4642i | 0.180477 | + | 0.907319i | 0.959798 | + | 0.280693i | \(0.0905643\pi\) |
−0.779321 | + | 0.626625i | \(0.784436\pi\) | |||||||
\(614\) | 32.8917 | − | 5.51285i | 1.32740 | − | 0.222480i | ||||
\(615\) | 28.7948 | − | 1.65528i | 1.16112 | − | 0.0667475i | ||||
\(616\) | −0.0126651 | − | 0.0329179i | −0.000510290 | − | 0.00132630i | ||||
\(617\) | −26.6562 | + | 20.4541i | −1.07314 | + | 0.823449i | −0.984982 | − | 0.172657i | \(-0.944765\pi\) |
−0.0881581 | + | 0.996106i | \(0.528098\pi\) | |||||||
\(618\) | −34.1428 | − | 1.30880i | −1.37343 | − | 0.0526478i | ||||
\(619\) | −1.99247 | + | 30.3992i | −0.0800841 | + | 1.22185i | 0.748942 | + | 0.662636i | \(0.230562\pi\) |
−0.829026 | + | 0.559211i | \(0.811104\pi\) | |||||||
\(620\) | 7.12286 | − | 56.2204i | 0.286061 | − | 2.25787i | ||||
\(621\) | 0.310901 | − | 1.98996i | 0.0124760 | − | 0.0798543i | ||||
\(622\) | −9.58659 | − | 5.92896i | −0.384387 | − | 0.237730i | ||||
\(623\) | −1.38135 | + | 5.15528i | −0.0553427 | + | 0.206542i | ||||
\(624\) | 13.3623 | − | 6.61821i | 0.534919 | − | 0.264940i | ||||
\(625\) | −6.28839 | − | 23.4686i | −0.251535 | − | 0.938743i | ||||
\(626\) | 5.86047 | − | 19.4903i | 0.234231 | − | 0.778989i | ||||
\(627\) | −0.138417 | − | 0.0814035i | −0.00552784 | − | 0.00325094i | ||||
\(628\) | −30.8718 | + | 31.1744i | −1.23192 | + | 1.24399i | ||||
\(629\) | 12.6450 | − | 18.9246i | 0.504191 | − | 0.754575i | ||||
\(630\) | 2.19182 | + | 5.01811i | 0.0873241 | + | 0.199926i | ||||
\(631\) | 4.66633 | − | 11.2655i | 0.185764 | − | 0.448473i | −0.803372 | − | 0.595477i | \(-0.796963\pi\) |
0.989136 | + | 0.147004i | \(0.0469631\pi\) | |||||||
\(632\) | −17.6519 | + | 19.1252i | −0.702155 | + | 0.760759i | ||||
\(633\) | −11.8602 | + | 7.78772i | −0.471399 | + | 0.309534i | ||||
\(634\) | 1.09368 | + | 0.105027i | 0.0434357 | + | 0.00417115i | ||||
\(635\) | 1.07708 | − | 3.17298i | 0.0427426 | − | 0.125916i | ||||
\(636\) | 32.3677 | + | 4.36511i | 1.28346 | + | 0.173088i | ||||
\(637\) | 13.1950 | + | 6.50707i | 0.522806 | + | 0.257820i | ||||
\(638\) | −0.0250660 | + | 0.154160i | −0.000992374 | + | 0.00610326i | ||||
\(639\) | 4.60116 | − | 31.0843i | 0.182019 | − | 1.22968i | ||||
\(640\) | −28.9175 | + | 21.4782i | −1.14306 | + | 0.848999i | ||||
\(641\) | −0.667660 | − | 1.15642i | −0.0263710 | − | 0.0456759i | 0.852539 | − | 0.522664i | \(-0.175062\pi\) |
−0.878910 | + | 0.476988i | \(0.841728\pi\) | |||||||
\(642\) | 14.6592 | − | 27.0606i | 0.578553 | − | 1.06799i | ||||
\(643\) | −0.298663 | − | 4.55671i | −0.0117781 | − | 0.179699i | −0.999695 | − | 0.0247121i | \(-0.992133\pi\) |
0.987917 | − | 0.154987i | \(-0.0495336\pi\) | |||||||
\(644\) | −0.208358 | − | 0.235263i | −0.00821047 | − | 0.00927067i | ||||
\(645\) | −3.23424 | + | 4.14560i | −0.127348 | + | 0.163233i | ||||
\(646\) | 6.53379 | − | 9.16500i | 0.257068 | − | 0.360592i | ||||
\(647\) | 14.6847 | + | 35.4520i | 0.577316 | + | 1.39376i | 0.895213 | + | 0.445639i | \(0.147023\pi\) |
−0.317897 | + | 0.948125i | \(0.602977\pi\) | |||||||
\(648\) | 25.4550 | − | 0.201833i | 0.999969 | − | 0.00792874i | ||||
\(649\) | 0.00724295 | − | 0.0174860i | 0.000284311 | − | 0.000686387i | ||||
\(650\) | −13.2578 | + | 8.28911i | −0.520013 | + | 0.325125i | ||||
\(651\) | 0.765869 | + | 6.20166i | 0.0300168 | + | 0.243062i | ||||
\(652\) | 40.7867 | + | 10.7159i | 1.59733 | + | 0.419667i | ||||
\(653\) | 2.67093 | − | 3.04562i | 0.104522 | − | 0.119184i | −0.697214 | − | 0.716864i | \(-0.745577\pi\) |
0.801735 | + | 0.597679i | \(0.203910\pi\) | |||||||
\(654\) | −28.4580 | − | 2.96357i | −1.11279 | − | 0.115885i | ||||
\(655\) | −69.3508 | − | 18.5825i | −2.70976 | − | 0.726078i | ||||
\(656\) | −10.6365 | − | 18.0150i | −0.415286 | − | 0.703366i | ||||
\(657\) | 13.0309 | − | 9.67060i | 0.508385 | − | 0.377286i | ||||
\(658\) | 3.59509 | + | 2.22344i | 0.140151 | + | 0.0866786i | ||||
\(659\) | −20.6532 | + | 7.01080i | −0.804533 | + | 0.273102i | −0.693260 | − | 0.720688i | \(-0.743826\pi\) |
−0.111273 | + | 0.993790i | \(0.535493\pi\) | |||||||
\(660\) | 0.338610 | − | 0.0211221i | 0.0131804 | − | 0.000822178i | ||||
\(661\) | −3.23699 | + | 1.59631i | −0.125904 | + | 0.0620892i | −0.504150 | − | 0.863616i | \(-0.668194\pi\) |
0.378246 | + | 0.925705i | \(0.376527\pi\) | |||||||
\(662\) | −33.0452 | + | 10.1122i | −1.28434 | + | 0.393021i | ||||
\(663\) | 1.99795 | − | 9.63933i | 0.0775941 | − | 0.374361i | ||||
\(664\) | −0.378969 | + | 2.40468i | −0.0147069 | + | 0.0933197i | ||||
\(665\) | 3.59389 | − | 1.48864i | 0.139365 | − | 0.0577270i | ||||
\(666\) | −0.698688 | − | 36.5609i | −0.0270736 | − | 1.41671i | ||||
\(667\) | 0.271494 | + | 1.36489i | 0.0105123 | + | 0.0528488i | ||||
\(668\) | 2.94611 | + | 4.36296i | 0.113988 | + | 0.168808i | ||||
\(669\) | 7.93500 | + | 30.5941i | 0.306785 | + | 1.18284i | ||||
\(670\) | −13.9765 | + | 1.41097i | −0.539958 | + | 0.0545107i | ||||
\(671\) | −0.340996 | − | 0.196874i | −0.0131640 | − | 0.00760025i | ||||
\(672\) | 2.50696 | − | 3.08080i | 0.0967082 | − | 0.118844i | ||||
\(673\) | −22.1571 | + | 12.7924i | −0.854094 | + | 0.493112i | −0.862030 | − | 0.506857i | \(-0.830807\pi\) |
0.00793579 | + | 0.999969i | \(0.497474\pi\) | |||||||
\(674\) | −1.85952 | + | 1.33938i | −0.0716258 | + | 0.0515911i | ||||
\(675\) | −26.5403 | + | 2.84579i | −1.02154 | + | 0.109535i | ||||
\(676\) | 12.6360 | + | 10.9729i | 0.485999 | + | 0.422035i | ||||
\(677\) | 6.27589 | − | 5.50381i | 0.241202 | − | 0.211528i | −0.530207 | − | 0.847868i | \(-0.677886\pi\) |
0.771409 | + | 0.636340i | \(0.219552\pi\) | |||||||
\(678\) | −23.0390 | + | 8.52455i | −0.884807 | + | 0.327383i | ||||
\(679\) | 0.186202 | − | 1.41435i | 0.00714579 | − | 0.0542777i | ||||
\(680\) | −0.604225 | + | 23.7728i | −0.0231710 | + | 0.911644i | ||||
\(681\) | 5.12100 | + | 4.56424i | 0.196237 | + | 0.174902i | ||||
\(682\) | 0.377252 | + | 0.0869937i | 0.0144457 | + | 0.00333116i | ||||
\(683\) | −29.1547 | − | 19.4806i | −1.11557 | − | 0.745403i | −0.145777 | − | 0.989317i | \(-0.546568\pi\) |
−0.969797 | + | 0.243915i | \(0.921568\pi\) | |||||||
\(684\) | 0.202153 | − | 18.0823i | 0.00772951 | − | 0.691396i | ||||
\(685\) | 2.42399 | − | 12.1862i | 0.0926159 | − | 0.465612i | ||||
\(686\) | 7.92832 | + | 0.240199i | 0.302705 | + | 0.00917083i | ||||
\(687\) | 22.7853 | − | 33.5151i | 0.869315 | − | 1.27868i | ||||
\(688\) | 3.74765 | + | 0.707535i | 0.142878 | + | 0.0269745i | ||||
\(689\) | −5.25207 | − | 19.6010i | −0.200088 | − | 0.746738i | ||||
\(690\) | 2.76041 | − | 1.23218i | 0.105087 | − | 0.0469081i | ||||
\(691\) | −11.3347 | − | 33.3910i | −0.431193 | − | 1.27025i | −0.917943 | − | 0.396713i | \(-0.870151\pi\) |
0.486750 | − | 0.873542i | \(-0.338182\pi\) | |||||||
\(692\) | 9.52212 | − | 16.6801i | 0.361977 | − | 0.634082i | ||||
\(693\) | −0.0356130 | + | 0.0114547i | −0.00135282 | + | 0.000435129i | ||||
\(694\) | −33.5129 | + | 1.17890i | −1.27213 | + | 0.0447502i | ||||
\(695\) | −29.5873 | + | 3.89524i | −1.12231 | + | 0.147755i | ||||
\(696\) | −16.4657 | + | 6.18382i | −0.624129 | + | 0.234397i | ||||
\(697\) | −13.6932 | − | 1.80275i | −0.518667 | − | 0.0682839i | ||||
\(698\) | 4.63448 | − | 48.2606i | 0.175418 | − | 1.82669i | ||||
\(699\) | 4.64902 | − | 5.95906i | 0.175842 | − | 0.225392i | ||||
\(700\) | −2.29697 | + | 3.47420i | −0.0868171 | + | 0.131313i | ||||
\(701\) | 32.3641 | − | 21.6250i | 1.22238 | − | 0.816765i | 0.234515 | − | 0.972112i | \(-0.424650\pi\) |
0.987860 | + | 0.155347i | \(0.0496497\pi\) | |||||||
\(702\) | −6.21404 | − | 14.5441i | −0.234534 | − | 0.548931i | ||||
\(703\) | −25.9771 | −0.979745 | ||||||||
\(704\) | −0.126148 | − | 0.211295i | −0.00475437 | − | 0.00796348i | ||||
\(705\) | −30.7847 | + | 26.5633i | −1.15942 | + | 1.00043i | ||||
\(706\) | 0.301782 | − | 0.369556i | 0.0113577 | − | 0.0139084i | ||||
\(707\) | −0.303418 | − | 4.62926i | −0.0114112 | − | 0.174101i | ||||
\(708\) | 2.11405 | − | 0.271544i | 0.0794507 | − | 0.0102053i | ||||
\(709\) | −8.60350 | − | 9.81042i | −0.323111 | − | 0.368438i | 0.567366 | − | 0.823466i | \(-0.307963\pi\) |
−0.890477 | + | 0.455028i | \(0.849629\pi\) | |||||||
\(710\) | 42.9109 | − | 19.5689i | 1.61042 | − | 0.734408i | ||||
\(711\) | 19.2038 | + | 19.8305i | 0.720197 | + | 0.743702i | ||||
\(712\) | −3.37884 | + | 37.0845i | −0.126627 | + | 1.38980i | ||||
\(713\) | 3.42008 | − | 0.450262i | 0.128083 | − | 0.0168624i | ||||
\(714\) | −0.581152 | − | 2.55697i | −0.0217491 | − | 0.0956922i | ||||
\(715\) | −0.0932304 | − | 0.189053i | −0.00348662 | − | 0.00707016i | ||||
\(716\) | 21.5138 | − | 12.5613i | 0.804009 | − | 0.469437i | ||||
\(717\) | 0.294596 | − | 36.6977i | 0.0110019 | − | 1.37050i | ||||
\(718\) | 15.0773 | − | 14.1906i | 0.562681 | − | 0.529589i | ||||
\(719\) | 3.50503 | − | 3.50503i | 0.130715 | − | 0.130715i | −0.638722 | − | 0.769438i | \(-0.720537\pi\) |
0.769438 | + | 0.638722i | \(0.220537\pi\) | |||||||
\(720\) | 21.0256 | + | 31.9005i | 0.783579 | + | 1.18886i | ||||
\(721\) | 3.99846 | + | 3.99846i | 0.148911 | + | 0.148911i | ||||
\(722\) | 14.0174 | + | 0.424675i | 0.521673 | + | 0.0158048i | ||||
\(723\) | −5.75643 | + | 9.78812i | −0.214084 | + | 0.364024i | ||||
\(724\) | −6.09300 | − | 44.5995i | −0.226445 | − | 1.65753i | ||||
\(725\) | 16.5410 | − | 8.15711i | 0.614317 | − | 0.302948i | ||||
\(726\) | 1.03202 | − | 26.9223i | 0.0383018 | − | 0.999180i | ||||
\(727\) | 0.458376 | + | 3.48171i | 0.0170002 | + | 0.129129i | 0.997840 | − | 0.0656844i | \(-0.0209231\pi\) |
−0.980840 | + | 0.194814i | \(0.937590\pi\) | |||||||
\(728\) | −2.36671 | − | 0.699073i | −0.0877162 | − | 0.0259094i | ||||
\(729\) | 1.29994 | − | 26.9687i | 0.0481461 | − | 0.998840i | ||||
\(730\) | 22.8151 | + | 8.52357i | 0.844426 | + | 0.315472i | ||||
\(731\) | 1.89300 | − | 1.66012i | 0.0700152 | − | 0.0614017i | ||||
\(732\) | 0.139749 | − | 44.3414i | 0.00516527 | − | 1.63890i | ||||
\(733\) | 34.4747 | − | 2.25959i | 1.27335 | − | 0.0834599i | 0.586315 | − | 0.810083i | \(-0.300578\pi\) |
0.687036 | + | 0.726623i | \(0.258911\pi\) | |||||||
\(734\) | 3.25329 | + | 32.2256i | 0.120081 | + | 1.18947i | ||||
\(735\) | −12.4031 | + | 35.5971i | −0.457496 | + | 1.31302i | ||||
\(736\) | −1.71179 | − | 1.37025i | −0.0630974 | − | 0.0505083i | ||||
\(737\) | − | 0.0959687i | − | 0.00353505i | ||||||
\(738\) | −19.7102 | + | 10.1927i | −0.725542 | + | 0.375199i | ||||
\(739\) | 19.0466 | + | 28.5052i | 0.700640 | + | 1.04858i | 0.995658 | + | 0.0930899i | \(0.0296744\pi\) |
−0.295018 | + | 0.955492i | \(0.595326\pi\) | |||||||
\(740\) | 45.4850 | − | 30.7139i | 1.67206 | − | 1.12907i | ||||
\(741\) | −10.4144 | + | 4.21615i | −0.382582 | + | 0.154884i | ||||
\(742\) | −3.43923 | − | 4.16994i | −0.126258 | − | 0.153083i | ||||
\(743\) | −4.43323 | + | 33.6737i | −0.162639 | + | 1.23537i | 0.694199 | + | 0.719783i | \(0.255759\pi\) |
−0.856838 | + | 0.515586i | \(0.827574\pi\) | |||||||
\(744\) | 12.6263 | + | 41.7304i | 0.462901 | + | 1.52991i | ||||
\(745\) | −2.96098 | − | 22.4908i | −0.108482 | − | 0.824001i | ||||
\(746\) | 13.1647 | + | 12.2700i | 0.481995 | + | 0.449237i | ||||
\(747\) | 2.52400 | + | 0.544320i | 0.0923484 | + | 0.0199156i | ||||
\(748\) | −0.161173 | − | 0.0204199i | −0.00589307 | − | 0.000746624i | ||||
\(749\) | −4.82304 | + | 1.63720i | −0.176230 | + | 0.0598221i | ||||
\(750\) | −0.672969 | − | 0.829426i | −0.0245734 | − | 0.0302864i | ||||
\(751\) | −46.3925 | + | 12.4308i | −1.69289 | + | 0.453608i | −0.971132 | − | 0.238541i | \(-0.923331\pi\) |
−0.721755 | + | 0.692149i | \(0.756664\pi\) | |||||||
\(752\) | 27.3569 | + | 11.0203i | 0.997605 | + | 0.401870i | ||||
\(753\) | 1.25052 | − | 16.9885i | 0.0455715 | − | 0.619095i | ||||
\(754\) | 7.48969 | + | 7.95769i | 0.272758 | + | 0.289802i | ||||
\(755\) | 22.9859 | + | 4.57218i | 0.836543 | + | 0.166399i | ||||
\(756\) | −3.11347 | − | 2.83805i | −0.113236 | − | 0.103219i | ||||
\(757\) | 0.113232 | − | 0.169463i | 0.00411548 | − | 0.00615925i | −0.829406 | − | 0.558646i | \(-0.811321\pi\) |
0.833522 | + | 0.552487i | \(0.186321\pi\) | |||||||
\(758\) | −37.0116 | + | 23.1406i | −1.34432 | + | 0.840503i | ||||
\(759\) | 0.00648112 | + | 0.0196085i | 0.000235250 | + | 0.000711744i | ||||
\(760\) | 22.9429 | − | 14.5006i | 0.832228 | − | 0.525992i | ||||
\(761\) | 29.4674 | + | 3.87946i | 1.06819 | + | 0.140630i | 0.644065 | − | 0.764971i | \(-0.277247\pi\) |
0.424130 | + | 0.905602i | \(0.360580\pi\) | |||||||
\(762\) | 0.238337 | + | 2.56689i | 0.00863405 | + | 0.0929885i | ||||
\(763\) | 3.12212 | + | 3.56009i | 0.113028 | + | 0.128884i | ||||
\(764\) | 17.1556 | + | 5.73040i | 0.620667 | + | 0.207319i | ||||
\(765\) | 25.1392 | + | 2.05352i | 0.908911 | + | 0.0742451i | ||||
\(766\) | −4.90370 | + | 30.1585i | −0.177178 | + | 1.08967i | ||||
\(767\) | −0.662135 | − | 1.14685i | −0.0239083 | − | 0.0414104i | ||||
\(768\) | 13.5801 | − | 24.1574i | 0.490029 | − | 0.871706i | ||||
\(769\) | −9.04652 | + | 15.6690i | −0.326226 | + | 0.565040i | −0.981760 | − | 0.190126i | \(-0.939110\pi\) |
0.655534 | + | 0.755166i | \(0.272444\pi\) | |||||||
\(770\) | −0.0434896 | − | 0.0355139i | −0.00156726 | − | 0.00127983i | ||||
\(771\) | 35.3920 | + | 35.9649i | 1.27461 | + | 1.29524i | ||||
\(772\) | −1.84315 | − | 9.03567i | −0.0663364 | − | 0.325201i | ||||
\(773\) | −19.8642 | + | 3.95124i | −0.714466 | + | 0.142116i | −0.538922 | − | 0.842355i | \(-0.681168\pi\) |
−0.175544 | + | 0.984472i | \(0.556168\pi\) | |||||||
\(774\) | 0.972128 | − | 3.92666i | 0.0349424 | − | 0.141141i | ||||
\(775\) | −17.4950 | − | 42.2366i | −0.628439 | − | 1.51718i | ||||
\(776\) | −0.398410 | − | 9.94532i | −0.0143021 | − | 0.357016i | ||||
\(777\) | −4.02664 | + | 4.51782i | −0.144455 | + | 0.162076i | ||||
\(778\) | −0.0465690 | − | 0.0247459i | −0.00166958 | − | 0.000887182i | ||||
\(779\) | 6.97191 | + | 14.1376i | 0.249795 | + | 0.506533i | ||||
\(780\) | 13.2502 | − | 19.6957i | 0.474435 | − | 0.705220i | ||||
\(781\) | 0.103568 | + | 0.305101i | 0.00370595 | + | 0.0109174i | ||||
\(782\) | −1.40894 | + | 0.332142i | −0.0503835 | + | 0.0118774i | ||||
\(783\) | 5.56949 | + | 17.8047i | 0.199037 | + | 0.636289i | ||||
\(784\) | 27.0726 | − | 3.83311i | 0.966880 | − | 0.136897i | ||||
\(785\) | −18.0770 | + | 67.4642i | −0.645195 | + | 2.40790i | ||||
\(786\) | 54.5486 | − | 8.69308i | 1.94568 | − | 0.310072i | ||||
\(787\) | −34.1164 | − | 29.9193i | −1.21612 | − | 1.06651i | −0.995845 | − | 0.0910699i | \(-0.970971\pi\) |
−0.220275 | − | 0.975438i | \(-0.570695\pi\) | |||||||
\(788\) | 26.5774 | − | 34.9882i | 0.946779 | − | 1.24640i | ||||
\(789\) | −1.57606 | − | 2.08846i | −0.0561091 | − | 0.0743510i | ||||
\(790\) | −9.30980 | + | 40.3724i | −0.331228 | + | 1.43638i | ||||
\(791\) | 3.75604 | + | 1.55580i | 0.133549 | + | 0.0553180i | ||||
\(792\) | −0.231261 | + | 0.121025i | −0.00821751 | + | 0.00430042i | ||||
\(793\) | −25.4528 | + | 10.5429i | −0.903854 | + | 0.374389i | ||||
\(794\) | 13.3765 | − | 2.24198i | 0.474713 | − | 0.0795648i | ||||
\(795\) | 48.1940 | − | 19.5108i | 1.70926 | − | 0.691978i | ||||
\(796\) | −19.9449 | − | 9.71515i | −0.706930 | − | 0.344344i | ||||
\(797\) | 28.1173 | − | 1.84291i | 0.995968 | − | 0.0652792i | 0.441307 | − | 0.897356i | \(-0.354515\pi\) |
0.554660 | + | 0.832077i | \(0.312848\pi\) | |||||||
\(798\) | −2.05800 | + | 2.17284i | −0.0728526 | + | 0.0769176i | ||||
\(799\) | 16.8622 | − | 9.73539i | 0.596541 | − | 0.344413i | ||||
\(800\) | −11.6693 | + | 26.6130i | −0.412573 | + | 0.940912i | ||||
\(801\) | 39.0713 | + | 5.78339i | 1.38052 | + | 0.204346i | ||||
\(802\) | −11.7825 | + | 8.48681i | −0.416056 | + | 0.299680i | ||||
\(803\) | −0.0735919 | + | 0.149230i | −0.00259700 | + | 0.00526620i | ||||
\(804\) | 9.37647 | − | 5.37418i | 0.330683 | − | 0.189533i | ||||
\(805\) | −0.473736 | − | 0.160812i | −0.0166970 | − | 0.00566787i | ||||
\(806\) | 20.8976 | − | 17.2357i | 0.736087 | − | 0.607100i | ||||
\(807\) | 14.9879 | − | 29.7873i | 0.527600 | − | 1.04856i | ||||
\(808\) | −7.58046 | − | 31.4683i | −0.266680 | − | 1.10705i | ||||
\(809\) | 3.66335 | + | 1.51741i | 0.128796 | + | 0.0533492i | 0.446151 | − | 0.894958i | \(-0.352794\pi\) |
−0.317354 | + | 0.948307i | \(0.602794\pi\) | |||||||
\(810\) | 35.0327 | − | 20.3690i | 1.23092 | − | 0.715694i | ||||
\(811\) | −9.49982 | − | 6.34757i | −0.333584 | − | 0.222893i | 0.377486 | − | 0.926015i | \(-0.376789\pi\) |
−0.711069 | + | 0.703122i | \(0.751789\pi\) | |||||||
\(812\) | 2.69468 | + | 1.10081i | 0.0945646 | + | 0.0386309i | ||||
\(813\) | −20.0826 | − | 35.4381i | −0.704328 | − | 1.24287i | ||||
\(814\) | 0.177556 | + | 0.330245i | 0.00622334 | + | 0.0115751i | ||||
\(815\) | 64.8456 | − | 17.3753i | 2.27144 | − | 0.608631i | ||||
\(816\) | −7.03048 | − | 16.8906i | −0.246116 | − | 0.591291i | ||||
\(817\) | −2.77574 | − | 0.743757i | −0.0971108 | − | 0.0260208i | ||||
\(818\) | −10.7876 | − | 45.7605i | −0.377178 | − | 1.59998i | ||||
\(819\) | −0.881049 | + | 2.46476i | −0.0307864 | + | 0.0861256i | ||||
\(820\) | −28.9232 | − | 16.5113i | −1.01004 | − | 0.576599i | ||||
\(821\) | 34.6734 | + | 2.27262i | 1.21011 | + | 0.0793149i | 0.657064 | − | 0.753835i | \(-0.271798\pi\) |
0.553047 | + | 0.833150i | \(0.313465\pi\) | |||||||
\(822\) | 2.11858 | + | 9.32137i | 0.0738938 | + | 0.325120i | ||||
\(823\) | 22.5416 | + | 29.3767i | 0.785749 | + | 1.02401i | 0.998895 | + | 0.0469882i | \(0.0149623\pi\) |
−0.213146 | + | 0.977020i | \(0.568371\pi\) | |||||||
\(824\) | 32.2370 | + | 22.7457i | 1.12303 | + | 0.792385i | ||||
\(825\) | 0.228782 | − | 0.150225i | 0.00796515 | − | 0.00523015i | ||||
\(826\) | −0.287226 | − | 0.204765i | −0.00999386 | − | 0.00712469i | ||||
\(827\) | 49.0766 | − | 9.76194i | 1.70656 | − | 0.339456i | 0.757090 | − | 0.653311i | \(-0.226620\pi\) |
0.949471 | + | 0.313855i | \(0.101620\pi\) | |||||||
\(828\) | −1.55288 | + | 1.73129i | −0.0539663 | + | 0.0601665i | ||||
\(829\) | −4.42910 | + | 2.95943i | −0.153829 | + | 0.102785i | −0.630103 | − | 0.776512i | \(-0.716987\pi\) |
0.476274 | + | 0.879297i | \(0.341987\pi\) | |||||||
\(830\) | 1.37392 | + | 3.62360i | 0.0476895 | + | 0.125777i | ||||
\(831\) | −34.8225 | − | 12.1333i | −1.20798 | − | 0.420898i | ||||
\(832\) | −17.1020 | − | 1.99750i | −0.592905 | − | 0.0692508i | ||||
\(833\) | 9.02552 | − | 15.6327i | 0.312716 | − | 0.541639i | ||||
\(834\) | 19.5646 | − | 12.0149i | 0.677465 | − | 0.416042i | ||||
\(835\) | 7.51644 | + | 3.70670i | 0.260117 | + | 0.128276i | ||||
\(836\) | 0.0828196 | + | 0.165897i | 0.00286437 | + | 0.00573768i | ||||
\(837\) | 44.9430 | − | 10.8896i | 1.55346 | − | 0.376400i | ||||
\(838\) | −39.5357 | + | 18.0297i | −1.36574 | + | 0.622826i | ||||
\(839\) | −17.8670 | + | 23.2848i | −0.616839 | + | 0.803880i | −0.992418 | − | 0.122910i | \(-0.960777\pi\) |
0.375579 | + | 0.926790i | \(0.377444\pi\) | |||||||
\(840\) | 1.03444 | − | 6.23783i | 0.0356917 | − | 0.215226i | ||||
\(841\) | 9.80721 | + | 12.7810i | 0.338179 | + | 0.440724i | ||||
\(842\) | −9.02064 | + | 16.9758i | −0.310872 | + | 0.585026i | ||||
\(843\) | −10.2353 | + | 7.72406i | −0.352522 | + | 0.266031i | ||||
\(844\) | 16.3832 | − | 0.0798818i | 0.563933 | − | 0.00274964i | ||||
\(845\) | 26.1296 | + | 5.19750i | 0.898886 | + | 0.178800i | ||||
\(846\) | 13.2972 | − | 28.3154i | 0.457167 | − | 0.973505i | ||||
\(847\) | −3.15287 | + | 3.15287i | −0.108334 | + | 0.108334i | ||||
\(848\) | −28.5955 | − | 24.5885i | −0.981974 | − | 0.844371i | ||||
\(849\) | −19.0638 | + | 28.0411i | −0.654268 | + | 0.962367i | ||||
\(850\) | 9.08456 | + | 16.8968i | 0.311598 | + | 0.579555i | ||||
\(851\) | 2.51180 | + | 2.20279i | 0.0861033 | + | 0.0755106i | ||||
\(852\) | −24.0097 | + | 27.2044i | −0.822558 | + | 0.932006i | ||||
\(853\) | 0.708723 | − | 10.8130i | 0.0242662 | − | 0.370231i | −0.968405 | − | 0.249383i | \(-0.919772\pi\) |
0.992671 | − | 0.120847i | \(-0.0385612\pi\) | |||||||
\(854\) | −5.00340 | + | 5.36824i | −0.171213 | + | 0.183698i | ||||
\(855\) | −13.9917 | − | 25.1587i | −0.478506 | − | 0.860408i | ||||
\(856\) | −31.2176 | + | 16.9809i | −1.06700 | + | 0.580394i | ||||
\(857\) | −23.7346 | − | 18.2122i | −0.810759 | − | 0.622117i | 0.117911 | − | 0.993024i | \(-0.462380\pi\) |
−0.928670 | + | 0.370907i | \(0.879047\pi\) | |||||||
\(858\) | 0.124783 | + | 0.103579i | 0.00426002 | + | 0.00353614i | ||||
\(859\) | −14.0325 | − | 4.76339i | −0.478782 | − | 0.162525i | 0.0716070 | − | 0.997433i | \(-0.477187\pi\) |
−0.550389 | + | 0.834908i | \(0.685521\pi\) | |||||||
\(860\) | 5.73960 | − | 1.97959i | 0.195719 | − | 0.0675035i | ||||
\(861\) | 3.53945 | + | 0.978913i | 0.120624 | + | 0.0333613i | ||||
\(862\) | 28.9993 | + | 13.0543i | 0.987722 | + | 0.444632i | ||||
\(863\) | − | 46.9177i | − | 1.59710i | −0.601930 | − | 0.798549i | \(-0.705601\pi\) | ||
0.601930 | − | 0.798549i | \(-0.294399\pi\) | |||||||
\(864\) | −24.7750 | − | 15.8177i | −0.842862 | − | 0.538130i | ||||
\(865\) | − | 30.5757i | − | 1.03960i | ||||||
\(866\) | 16.9420 | − | 37.6356i | 0.575713 | − | 1.27891i | ||||
\(867\) | 16.7383 | + | 4.62933i | 0.568461 | + | 0.157220i | ||||
\(868\) | 3.15972 | − | 6.48683i | 0.107248 | − | 0.220177i | ||||
\(869\) | −0.268029 | − | 0.0909837i | −0.00909227 | − | 0.00308641i | ||||
\(870\) | −17.8836 | + | 21.5445i | −0.606309 | + | 0.730426i | ||||
\(871\) | −5.32717 | − | 4.08768i | −0.180504 | − | 0.138506i | ||||
\(872\) | 25.6914 | + | 20.7718i | 0.870021 | + | 0.703423i | ||||
\(873\) | −10.5557 | − | 0.169485i | −0.357257 | − | 0.00573621i | ||||
\(874\) | 1.20858 | + | 1.12644i | 0.0408809 | + | 0.0381025i | ||||
\(875\) | −0.0115611 | + | 0.176389i | −0.000390837 | + | 0.00596302i | ||||
\(876\) | −18.7013 | + | 1.16657i | −0.631859 | + | 0.0394147i | ||||
\(877\) | 37.7403 | + | 33.0974i | 1.27440 | + | 1.11762i | 0.987156 | + | 0.159762i | \(0.0510727\pi\) |
0.287245 | + | 0.957857i | \(0.407261\pi\) | |||||||
\(878\) | 7.45382 | − | 4.00754i | 0.251554 | − | 0.135248i | ||||
\(879\) | 18.5362 | − | 27.2650i | 0.625211 | − | 0.919626i | ||||
\(880\) | −0.341162 | − | 0.192559i | −0.0115006 | − | 0.00649116i | ||||
\(881\) | −25.0713 | + | 25.0713i | −0.844672 | + | 0.844672i | −0.989462 | − | 0.144790i | \(-0.953749\pi\) |
0.144790 | + | 0.989462i | \(0.453749\pi\) | |||||||
\(882\) | −2.44936 | − | 28.8977i | −0.0824743 | − | 0.973035i | ||||
\(883\) | −2.32612 | − | 0.462694i | −0.0782802 | − | 0.0155709i | 0.155795 | − | 0.987789i | \(-0.450206\pi\) |
−0.234075 | + | 0.972219i | \(0.575206\pi\) | |||||||
\(884\) | −7.99848 | + | 8.07686i | −0.269018 | + | 0.271654i | ||||
\(885\) | 2.70839 | − | 2.04389i | 0.0910416 | − | 0.0687046i | ||||
\(886\) | −47.6243 | − | 25.3066i | −1.59997 | − | 0.850193i | ||||
\(887\) | −22.1815 | − | 28.9074i | −0.744780 | − | 0.970617i | −0.999993 | − | 0.00373183i | \(-0.998812\pi\) |
0.255213 | − | 0.966885i | \(-0.417855\pi\) | |||||||
\(888\) | −22.3231 | + | 35.8413i | −0.749113 | + | 1.20276i | ||||
\(889\) | 0.259722 | − | 0.338476i | 0.00871078 | − | 0.0113521i | ||||
\(890\) | 24.5970 | + | 53.9366i | 0.824494 | + | 1.80796i | ||||
\(891\) | 0.114412 | + | 0.252100i | 0.00383295 | + | 0.00844568i | ||||
\(892\) | 11.5626 | − | 34.6159i | 0.387144 | − | 1.15903i | ||||
\(893\) | −19.9307 | − | 9.82875i | −0.666957 | − | 0.328907i | ||||
\(894\) | 9.13315 | + | 14.8720i | 0.305458 | + | 0.497395i | ||||
\(895\) | 19.8294 | − | 34.3456i | 0.662825 | − | 1.14805i | ||||
\(896\) | −4.36554 | + | 1.40606i | −0.145842 | + | 0.0469731i | ||||
\(897\) | 1.36451 | + | 0.475439i | 0.0455598 | + | 0.0158745i | ||||
\(898\) | −4.11712 | + | 1.56104i | −0.137390 | + | 0.0520927i | ||||
\(899\) | −26.5668 | + | 17.7514i | −0.886053 | + | 0.592041i | ||||
\(900\) | 27.4891 | + | 13.9403i | 0.916302 | + | 0.464676i | ||||
\(901\) | −24.4191 | + | 4.85727i | −0.813519 | + | 0.161819i | ||||
\(902\) | 0.132077 | − | 0.185266i | 0.00439768 | − | 0.00616867i | ||||
\(903\) | −0.559611 | + | 0.367457i | −0.0186227 | + | 0.0122282i | ||||
\(904\) | 27.6711 | + | 6.23898i | 0.920328 | + | 0.207506i | ||||
\(905\) | −43.6230 | − | 56.8507i | −1.45008 | − | 1.88978i | ||||
\(906\) | −17.5822 | + | 3.99610i | −0.584129 | + | 0.132762i | ||||
\(907\) | 36.4206 | + | 2.38713i | 1.20933 | + | 0.0792635i | 0.656691 | − | 0.754159i | \(-0.271955\pi\) |
0.552636 | + | 0.833423i | \(0.313622\pi\) | |||||||
\(908\) | −2.08739 | − | 7.64103i | −0.0692725 | − | 0.253577i | ||||
\(909\) | −33.7754 | + | 6.15638i | −1.12026 | + | 0.204194i | ||||
\(910\) | −3.82375 | + | 0.901407i | −0.126756 | + | 0.0298814i | ||||
\(911\) | −0.897148 | − | 0.240390i | −0.0297238 | − | 0.00796447i | 0.243926 | − | 0.969794i | \(-0.421564\pi\) |
−0.273650 | + | 0.961829i | \(0.588231\pi\) | |||||||
\(912\) | −11.5709 | + | 17.3819i | −0.383151 | + | 0.575572i | ||||
\(913\) | −0.0255730 | + | 0.00685227i | −0.000846344 | + | 0.000226777i | ||||
\(914\) | 21.3655 | − | 11.4872i | 0.706709 | − | 0.379962i | ||||
\(915\) | −34.8025 | − | 61.4129i | −1.15053 | − | 2.03025i | ||||
\(916\) | −43.1465 | + | 18.1188i | −1.42560 | + | 0.598663i | ||||
\(917\) | −7.60092 | − | 5.07877i | −0.251004 | − | 0.167716i | ||||
\(918\) | −18.3051 | + | 6.44082i | −0.604159 | + | 0.212579i | ||||
\(919\) | 16.4967 | + | 6.83314i | 0.544175 | + | 0.225405i | 0.637799 | − | 0.770203i | \(-0.279845\pi\) |
−0.0936241 | + | 0.995608i | \(0.529845\pi\) | |||||||
\(920\) | −3.44803 | − | 0.543397i | −0.113678 | − | 0.0179153i | ||||
\(921\) | −18.3591 | + | 36.4873i | −0.604954 | + | 1.20230i | ||||
\(922\) | −10.0610 | − | 12.1986i | −0.331341 | − | 0.401739i | ||||
\(923\) | 21.3473 | + | 7.24645i | 0.702656 | + | 0.238520i | ||||
\(924\) | 0.0416898 | + | 0.0113117i | 0.00137149 | + | 0.000372127i | ||||
\(925\) | 19.5827 | − | 39.7097i | 0.643874 | − | 1.30565i | ||||
\(926\) | −5.25839 | − | 7.30042i | −0.172802 | − | 0.239907i | ||||
\(927\) | 26.0045 | − | 32.7862i | 0.854100 | − | 1.07684i | ||||
\(928\) | 19.8337 | + | 4.37038i | 0.651074 | + | 0.143465i | ||||
\(929\) | −29.4302 | + | 16.9915i | −0.965573 | + | 0.557474i | −0.897884 | − | 0.440232i | \(-0.854896\pi\) |
−0.0676895 | + | 0.997706i | \(0.521563\pi\) | |||||||
\(930\) | 50.3910 | + | 47.7279i | 1.65239 | + | 1.56506i | ||||
\(931\) | −20.5580 | + | 1.34744i | −0.673761 | + | 0.0441606i | ||||
\(932\) | −8.25033 | + | 2.84555i | −0.270249 | + | 0.0932090i | ||||
\(933\) | 12.7963 | − | 5.18046i | 0.418933 | − | 0.169601i | ||||
\(934\) | 6.49241 | + | 38.7361i | 0.212438 | + | 1.26749i | ||||
\(935\) | −0.238940 | + | 0.0989723i | −0.00781418 | + | 0.00323674i | ||||
\(936\) | −3.13230 | + | 17.9921i | −0.102383 | + | 0.588090i | ||||
\(937\) | −4.23143 | − | 1.75272i | −0.138235 | − | 0.0572587i | 0.312494 | − | 0.949920i | \(-0.398836\pi\) |
−0.450728 | + | 0.892661i | \(0.648836\pi\) | |||||||
\(938\) | −1.74285 | − | 0.401899i | −0.0569062 | − | 0.0131225i | ||||
\(939\) | 15.0150 | + | 19.8966i | 0.489996 | + | 0.649301i | ||||
\(940\) | 46.5190 | − | 6.35524i | 1.51728 | − | 0.207285i | ||||
\(941\) | −9.01689 | − | 7.90760i | −0.293942 | − | 0.257781i | 0.499654 | − | 0.866225i | \(-0.333460\pi\) |
−0.793596 | + | 0.608445i | \(0.791794\pi\) | |||||||
\(942\) | −8.45659 | − | 53.0646i | −0.275531 | − | 1.72894i | ||||
\(943\) | 0.524700 | − | 1.95821i | 0.0170866 | − | 0.0637680i | ||||
\(944\) | −2.21784 | − | 1.06696i | −0.0721847 | − | 0.0347266i | ||||
\(945\) | −6.54430 | − | 1.46640i | −0.212886 | − | 0.0477020i | ||||
\(946\) | 0.00951712 | + | 0.0403714i | 0.000309428 | + | 0.00131259i | ||||
\(947\) | −3.05273 | − | 8.99307i | −0.0992005 | − | 0.292235i | 0.885988 | − | 0.463707i | \(-0.153481\pi\) |
−0.985189 | + | 0.171472i | \(0.945148\pi\) | |||||||
\(948\) | −6.12003 | − | 31.2824i | −0.198769 | − | 1.01601i | ||||
\(949\) | 5.14909 | + | 10.4413i | 0.167146 | + | 0.338939i | ||||
\(950\) | 10.2743 | − | 19.3351i | 0.333342 | − | 0.627312i | ||||
\(951\) | −0.895339 | + | 1.00456i | −0.0290334 | + | 0.0325749i | ||||
\(952\) | −1.04580 | + | 2.84149i | −0.0338946 | + | 0.0920933i | ||||
\(953\) | −7.89599 | − | 19.0626i | −0.255776 | − | 0.617498i | 0.742875 | − | 0.669431i | \(-0.233462\pi\) |
−0.998651 | + | 0.0519326i | \(0.983462\pi\) | |||||||
\(954\) | −27.7394 | + | 28.8203i | −0.898097 | + | 0.933091i | ||||
\(955\) | 28.2405 | − | 5.61738i | 0.913841 | − | 0.181774i | ||||
\(956\) | −23.3709 | + | 35.3490i | −0.755870 | + | 1.14327i | ||||
\(957\) | −0.134170 | − | 0.136341i | −0.00433709 | − | 0.00440729i | ||||
\(958\) | −10.2119 | + | 12.5053i | −0.329931 | + | 0.404026i | ||||
\(959\) | 0.791001 | − | 1.37005i | 0.0255427 | − | 0.0442413i | ||||
\(960\) | −0.291166 | − | 44.1159i | −0.00939735 | − | 1.42383i | ||||
\(961\) | 24.1010 | + | 41.7442i | 0.777452 | + | 1.34659i | ||||
\(962\) | 25.8945 | + | 4.21038i | 0.834873 | + | 0.135748i | ||||
\(963\) | 16.1262 | + | 34.0690i | 0.519661 | + | 1.09786i | ||||
\(964\) | 11.7314 | − | 5.85656i | 0.377843 | − | 0.188627i | ||||
\(965\) | −9.67943 | − | 11.0373i | −0.311592 | − | 0.355303i | ||||
\(966\) | 0.383245 | − | 0.0355845i | 0.0123307 | − | 0.00114491i | ||||
\(967\) | 1.08990 | + | 0.143488i | 0.0350488 | + | 0.00461426i | 0.148030 | − | 0.988983i | \(-0.452707\pi\) |
−0.112981 | + | 0.993597i | \(0.536040\pi\) | |||||||
\(968\) | −17.9355 | + | 25.4195i | −0.576468 | + | 0.817015i | ||||
\(969\) | 4.32617 | + | 13.0888i | 0.138977 | + | 0.420471i | ||||
\(970\) | −8.39999 | − | 13.4351i | −0.269707 | − | 0.431376i | ||||
\(971\) | 15.8260 | − | 23.6852i | 0.507880 | − | 0.760096i | −0.485591 | − | 0.874186i | \(-0.661395\pi\) |
0.993470 | + | 0.114091i | \(0.0363954\pi\) | |||||||
\(972\) | −18.2241 | + | 25.2959i | −0.584538 | + | 0.811367i | ||||
\(973\) | −3.72669 | − | 0.741284i | −0.119472 | − | 0.0237645i | ||||
\(974\) | 28.1179 | − | 26.4643i | 0.900957 | − | 0.847971i | ||||
\(975\) | 1.40581 | − | 19.0982i | 0.0450221 | − | 0.611631i | ||||
\(976\) | −28.0294 | + | 42.8476i | −0.897199 | + | 1.37152i | ||||
\(977\) | −2.24074 | + | 0.600405i | −0.0716877 | + | 0.0192087i | −0.294485 | − | 0.955656i | \(-0.595148\pi\) |
0.222797 | + | 0.974865i | \(0.428481\pi\) | |||||||
\(978\) | −40.1074 | + | 32.5419i | −1.28249 | + | 1.04057i | ||||
\(979\) | −0.383495 | + | 0.130179i | −0.0122565 | + | 0.00416054i | ||||
\(980\) | 34.4031 | − | 26.6660i | 1.09897 | − | 0.851813i | ||||
\(981\) | 23.5249 | − | 25.9718i | 0.751093 | − | 0.829216i | ||||
\(982\) | −39.7679 | + | 42.6677i | −1.26904 | + | 1.36158i | ||||
\(983\) | −2.96074 | − | 22.4890i | −0.0944329 | − | 0.717289i | −0.971520 | − | 0.236958i | \(-0.923850\pi\) |
0.877087 | − | 0.480331i | \(-0.159484\pi\) | |||||||
\(984\) | 25.4973 | + | 2.52964i | 0.812824 | + | 0.0806420i | ||||
\(985\) | 9.12977 | − | 69.3475i | 0.290899 | − | 2.20959i | ||||
\(986\) | 10.3437 | − | 8.53113i | 0.329410 | − | 0.271687i | ||||
\(987\) | −4.79878 | + | 1.94274i | −0.152747 | + | 0.0618381i | ||||
\(988\) | 12.7365 | + | 2.46895i | 0.405201 | + | 0.0785477i | ||||
\(989\) | 0.205325 | + | 0.307291i | 0.00652897 | + | 0.00977129i | ||||
\(990\) | −0.224206 | + | 0.349837i | −0.00712572 | + | 0.0111186i | ||||
\(991\) | − | 17.7874i | − | 0.565034i | −0.959262 | − | 0.282517i | \(-0.908831\pi\) | ||
0.959262 | − | 0.282517i | \(-0.0911694\pi\) | |||||||
\(992\) | 14.0256 | − | 48.3502i | 0.445314 | − | 1.53512i | ||||
\(993\) | 13.9260 | − | 39.9678i | 0.441930 | − | 1.26834i | ||||
\(994\) | 5.97455 | − | 0.603152i | 0.189501 | − | 0.0191308i | ||||
\(995\) | −35.2417 | + | 2.30986i | −1.11724 | + | 0.0732276i | ||||
\(996\) | −2.10156 | − | 2.11485i | −0.0665905 | − | 0.0670116i | ||||
\(997\) | −26.4243 | + | 23.1735i | −0.836865 | + | 0.733911i | −0.966229 | − | 0.257687i | \(-0.917040\pi\) |
0.129364 | + | 0.991597i | \(0.458706\pi\) | |||||||
\(998\) | 1.62221 | − | 4.34218i | 0.0513500 | − | 0.137449i | ||||
\(999\) | 36.6282 | + | 25.7712i | 1.15887 | + | 0.815366i |
(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 | 576.2.bm.a.13.84 | ✓ | 1504 | |
9.7 | even | 3 | inner | 576.2.bm.a.205.22 | yes | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.517.22 | yes | 1504 | |
576.133 | even | 48 | inner | 576.2.bm.a.133.84 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.84 | ✓ | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.133.84 | yes | 1504 | 576.133 | even | 48 | inner | |
576.2.bm.a.205.22 | yes | 1504 | 9.7 | even | 3 | inner | |
576.2.bm.a.517.22 | yes | 1504 | 64.5 | even | 16 | inner |