Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(2,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([30, 3, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.bs (of order \(60\), 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: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(1216\) |
Relative dimension: | \(76\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 2.10 | ||
Character | \(\chi\) | \(=\) | 525.2 |
Dual form | 525.2.bs.a.263.10 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{20}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.76827 | − | 1.43192i | −1.25036 | − | 1.01252i | −0.999004 | − | 0.0446219i | \(-0.985792\pi\) |
−0.251351 | − | 0.967896i | \(-0.580875\pi\) | |||||||
\(3\) | −0.780419 | + | 1.54627i | −0.450575 | + | 0.892739i | ||||
\(4\) | 0.660569 | + | 3.10773i | 0.330285 | + | 1.55387i | ||||
\(5\) | 2.17999 | − | 0.497639i | 0.974921 | − | 0.222551i | ||||
\(6\) | 3.59412 | − | 1.61672i | 1.46729 | − | 0.660025i | ||||
\(7\) | −2.64461 | − | 0.0776153i | −0.999570 | − | 0.0293358i | ||||
\(8\) | 1.21599 | − | 2.38651i | 0.429916 | − | 0.843758i | ||||
\(9\) | −1.78189 | − | 2.41347i | −0.593964 | − | 0.804491i | ||||
\(10\) | −4.56739 | − | 2.24160i | −1.44433 | − | 0.708857i | ||||
\(11\) | −0.299525 | + | 0.672744i | −0.0903102 | + | 0.202840i | −0.953053 | − | 0.302802i | \(-0.902078\pi\) |
0.862743 | + | 0.505642i | \(0.168744\pi\) | |||||||
\(12\) | −5.32091 | − | 1.40392i | −1.53601 | − | 0.405276i | ||||
\(13\) | −2.38224 | + | 0.377310i | −0.660715 | + | 0.104647i | −0.477782 | − | 0.878479i | \(-0.658559\pi\) |
−0.182933 | + | 0.983125i | \(0.558559\pi\) | |||||||
\(14\) | 4.56525 | + | 3.92411i | 1.22011 | + | 1.04876i | ||||
\(15\) | −0.931822 | + | 3.75922i | −0.240596 | + | 0.970625i | ||||
\(16\) | 0.237491 | − | 0.105738i | 0.0593727 | − | 0.0264344i | ||||
\(17\) | −0.250354 | − | 4.77703i | −0.0607197 | − | 1.15860i | −0.843792 | − | 0.536670i | \(-0.819682\pi\) |
0.783073 | − | 0.621930i | \(-0.213651\pi\) | |||||||
\(18\) | −0.305027 | + | 6.81919i | −0.0718956 | + | 1.60730i | ||||
\(19\) | −0.847596 | + | 3.98763i | −0.194452 | + | 0.914825i | 0.767382 | + | 0.641190i | \(0.221559\pi\) |
−0.961834 | + | 0.273634i | \(0.911774\pi\) | |||||||
\(20\) | 2.98656 | + | 6.44610i | 0.667816 | + | 1.44139i | ||||
\(21\) | 2.18392 | − | 4.02871i | 0.476570 | − | 0.879136i | ||||
\(22\) | 1.49295 | − | 0.760698i | 0.318299 | − | 0.162181i | ||||
\(23\) | 2.98959 | − | 3.69183i | 0.623372 | − | 0.769800i | −0.363449 | − | 0.931614i | \(-0.618401\pi\) |
0.986821 | + | 0.161814i | \(0.0517343\pi\) | |||||||
\(24\) | 2.74120 | + | 3.74272i | 0.559546 | + | 0.763979i | ||||
\(25\) | 4.50471 | − | 2.16969i | 0.900942 | − | 0.433939i | ||||
\(26\) | 4.75272 | + | 2.74398i | 0.932085 | + | 0.538139i | ||||
\(27\) | 5.12250 | − | 0.871764i | 0.985826 | − | 0.167771i | ||||
\(28\) | −1.50574 | − | 8.27002i | −0.284558 | − | 1.56289i | ||||
\(29\) | 1.51323 | − | 4.65726i | 0.281001 | − | 0.864831i | −0.706568 | − | 0.707645i | \(-0.749758\pi\) |
0.987569 | − | 0.157186i | \(-0.0502423\pi\) | |||||||
\(30\) | 7.03060 | − | 5.31302i | 1.28361 | − | 0.970020i | ||||
\(31\) | 2.86760 | − | 3.18480i | 0.515037 | − | 0.572006i | −0.428387 | − | 0.903595i | \(-0.640918\pi\) |
0.943424 | + | 0.331589i | \(0.107585\pi\) | |||||||
\(32\) | −5.74571 | − | 1.53956i | −1.01571 | − | 0.272158i | ||||
\(33\) | −0.806488 | − | 0.988168i | −0.140392 | − | 0.172018i | ||||
\(34\) | −6.39762 | + | 8.80556i | −1.09718 | + | 1.51014i | ||||
\(35\) | −5.80385 | + | 1.14686i | −0.981030 | + | 0.193855i | ||||
\(36\) | 6.32337 | − | 7.13191i | 1.05390 | − | 1.18865i | ||||
\(37\) | −9.18623 | − | 3.52626i | −1.51021 | − | 0.579714i | −0.544366 | − | 0.838848i | \(-0.683230\pi\) |
−0.965841 | + | 0.259134i | \(0.916563\pi\) | |||||||
\(38\) | 7.20873 | − | 5.83751i | 1.16941 | − | 0.946970i | ||||
\(39\) | 1.27572 | − | 3.97804i | 0.204279 | − | 0.636997i | ||||
\(40\) | 1.46322 | − | 5.80769i | 0.231355 | − | 0.918276i | ||||
\(41\) | 2.47258 | − | 3.40321i | 0.386152 | − | 0.531493i | −0.571049 | − | 0.820916i | \(-0.693463\pi\) |
0.957201 | + | 0.289423i | \(0.0934634\pi\) | |||||||
\(42\) | −9.63053 | + | 3.99665i | −1.48602 | + | 0.616697i | ||||
\(43\) | −3.41651 | + | 3.41651i | −0.521013 | + | 0.521013i | −0.917877 | − | 0.396864i | \(-0.870098\pi\) |
0.396864 | + | 0.917877i | \(0.370098\pi\) | |||||||
\(44\) | −2.28857 | − | 0.486450i | −0.345014 | − | 0.0733351i | ||||
\(45\) | −5.08555 | − | 4.37461i | −0.758108 | − | 0.652129i | ||||
\(46\) | −10.5728 | + | 2.24732i | −1.55887 | + | 0.331349i | ||||
\(47\) | 3.36277 | + | 0.176235i | 0.490511 | + | 0.0257066i | 0.295989 | − | 0.955191i | \(-0.404351\pi\) |
0.194522 | + | 0.980898i | \(0.437684\pi\) | |||||||
\(48\) | −0.0218434 | + | 0.449744i | −0.00315282 | + | 0.0649150i | ||||
\(49\) | 6.98795 | + | 0.410525i | 0.998279 | + | 0.0586464i | ||||
\(50\) | −11.0724 | − | 2.61377i | −1.56587 | − | 0.369642i | ||||
\(51\) | 7.58195 | + | 3.34097i | 1.06169 | + | 0.467829i | ||||
\(52\) | −2.74621 | − | 7.15413i | −0.380831 | − | 0.992099i | ||||
\(53\) | −2.57626 | − | 1.67304i | −0.353877 | − | 0.229810i | 0.355442 | − | 0.934698i | \(-0.384330\pi\) |
−0.709318 | + | 0.704888i | \(0.750997\pi\) | |||||||
\(54\) | −10.3063 | − | 5.79348i | −1.40250 | − | 0.788393i | ||||
\(55\) | −0.318178 | + | 1.61563i | −0.0429031 | + | 0.217852i | ||||
\(56\) | −3.40104 | + | 6.21701i | −0.454484 | + | 0.830783i | ||||
\(57\) | −5.50446 | − | 4.42263i | −0.729084 | − | 0.585792i | ||||
\(58\) | −9.34461 | + | 6.06846i | −1.22701 | + | 0.796828i | ||||
\(59\) | 1.26166 | − | 12.0039i | 0.164254 | − | 1.56277i | −0.533106 | − | 0.846049i | \(-0.678975\pi\) |
0.697359 | − | 0.716722i | \(-0.254358\pi\) | |||||||
\(60\) | −12.2982 | − | 0.412634i | −1.58769 | − | 0.0532708i | ||||
\(61\) | −1.44934 | − | 13.7896i | −0.185569 | − | 1.76557i | −0.550781 | − | 0.834650i | \(-0.685670\pi\) |
0.365211 | − | 0.930925i | \(-0.380997\pi\) | |||||||
\(62\) | −9.63106 | + | 1.52541i | −1.22315 | + | 0.193727i | ||||
\(63\) | 4.52509 | + | 6.52101i | 0.570108 | + | 0.821570i | ||||
\(64\) | 7.64983 | + | 10.5291i | 0.956229 | + | 1.31614i | ||||
\(65\) | −5.00550 | + | 2.00803i | −0.620855 | + | 0.249065i | ||||
\(66\) | 0.0111139 | + | 2.90217i | 0.00136803 | + | 0.357233i | ||||
\(67\) | 2.88934 | − | 0.151424i | 0.352989 | − | 0.0184994i | 0.124982 | − | 0.992159i | \(-0.460113\pi\) |
0.228007 | + | 0.973660i | \(0.426779\pi\) | |||||||
\(68\) | 14.6804 | − | 3.93359i | 1.78026 | − | 0.477018i | ||||
\(69\) | 3.37544 | + | 7.50388i | 0.406355 | + | 0.903361i | ||||
\(70\) | 11.9050 | + | 6.28267i | 1.42292 | + | 0.750923i | ||||
\(71\) | −12.4628 | − | 4.04941i | −1.47906 | − | 0.480576i | −0.545229 | − | 0.838287i | \(-0.683557\pi\) |
−0.933832 | + | 0.357711i | \(0.883557\pi\) | |||||||
\(72\) | −7.92653 | + | 1.31775i | −0.934151 | + | 0.155298i | ||||
\(73\) | −1.87732 | + | 0.720634i | −0.219723 | + | 0.0843438i | −0.465740 | − | 0.884922i | \(-0.654212\pi\) |
0.246016 | + | 0.969266i | \(0.420878\pi\) | |||||||
\(74\) | 11.1944 | + | 19.3893i | 1.30132 | + | 2.25396i | ||||
\(75\) | −0.160632 | + | 8.65876i | −0.0185482 | + | 0.999828i | ||||
\(76\) | −12.9524 | −1.48574 | ||||||||
\(77\) | 0.844343 | − | 1.75590i | 0.0962218 | − | 0.200103i | ||||
\(78\) | −7.95205 | + | 5.20752i | −0.900392 | + | 0.589636i | ||||
\(79\) | 0.904709 | − | 0.814603i | 0.101788 | − | 0.0916500i | −0.616666 | − | 0.787225i | \(-0.711517\pi\) |
0.718453 | + | 0.695575i | \(0.244850\pi\) | |||||||
\(80\) | 0.465108 | − | 0.348692i | 0.0520007 | − | 0.0389849i | ||||
\(81\) | −2.64972 | + | 8.60110i | −0.294413 | + | 0.955678i | ||||
\(82\) | −9.24531 | + | 2.47727i | −1.02097 | + | 0.273569i | ||||
\(83\) | 0.135163 | − | 0.265272i | 0.0148361 | − | 0.0291174i | −0.883470 | − | 0.468489i | \(-0.844799\pi\) |
0.898306 | + | 0.439371i | \(0.144799\pi\) | |||||||
\(84\) | 13.9628 | + | 4.12580i | 1.52346 | + | 0.450162i | ||||
\(85\) | −2.92300 | − | 10.2893i | −0.317044 | − | 1.11603i | ||||
\(86\) | 10.9335 | − | 1.14915i | 1.17899 | − | 0.123916i | ||||
\(87\) | 6.02041 | + | 5.97448i | 0.645456 | + | 0.640531i | ||||
\(88\) | 1.24129 | + | 1.53287i | 0.132322 | + | 0.163404i | ||||
\(89\) | 0.286058 | + | 2.72166i | 0.0303221 | + | 0.288495i | 0.999166 | + | 0.0408246i | \(0.0129985\pi\) |
−0.968844 | + | 0.247671i | \(0.920335\pi\) | |||||||
\(90\) | 2.72854 | + | 15.0176i | 0.287613 | + | 1.58299i | ||||
\(91\) | 6.32939 | − | 0.812940i | 0.663500 | − | 0.0852193i | ||||
\(92\) | 13.4481 | + | 6.85213i | 1.40206 | + | 0.714384i | ||||
\(93\) | 2.68662 | + | 6.91956i | 0.278589 | + | 0.717525i | ||||
\(94\) | −5.69394 | − | 5.12684i | −0.587285 | − | 0.528793i | ||||
\(95\) | 0.136646 | + | 9.11478i | 0.0140196 | + | 0.935157i | ||||
\(96\) | 6.86463 | − | 7.68290i | 0.700618 | − | 0.784133i | ||||
\(97\) | 10.5571 | − | 5.37913i | 1.07191 | − | 0.546168i | 0.173283 | − | 0.984872i | \(-0.444562\pi\) |
0.898631 | + | 0.438704i | \(0.144562\pi\) | |||||||
\(98\) | −11.7687 | − | 10.7321i | −1.18882 | − | 1.08410i | ||||
\(99\) | 2.15737 | − | 0.475862i | 0.216824 | − | 0.0478259i | ||||
\(100\) | 9.71850 | + | 12.5662i | 0.971850 | + | 1.25662i | ||||
\(101\) | −11.2355 | + | 6.48679i | −1.11797 | + | 0.645460i | −0.940882 | − | 0.338735i | \(-0.890001\pi\) |
−0.177088 | + | 0.984195i | \(0.556668\pi\) | |||||||
\(102\) | −8.62294 | − | 16.7645i | −0.853799 | − | 1.65993i | ||||
\(103\) | 3.34754 | + | 0.175437i | 0.329843 | + | 0.0172864i | 0.216539 | − | 0.976274i | \(-0.430523\pi\) |
0.113304 | + | 0.993560i | \(0.463856\pi\) | |||||||
\(104\) | −1.99632 | + | 6.14404i | −0.195755 | + | 0.602473i | ||||
\(105\) | 2.75608 | − | 9.86935i | 0.268966 | − | 0.963150i | ||||
\(106\) | 2.15987 | + | 6.64738i | 0.209785 | + | 0.645651i | ||||
\(107\) | −3.54890 | − | 13.2447i | −0.343086 | − | 1.28041i | −0.894833 | − | 0.446401i | \(-0.852705\pi\) |
0.551747 | − | 0.834011i | \(-0.313961\pi\) | |||||||
\(108\) | 6.09298 | + | 15.3435i | 0.586297 | + | 1.47643i | ||||
\(109\) | −9.64769 | − | 1.01401i | −0.924081 | − | 0.0971249i | −0.369478 | − | 0.929240i | \(-0.620463\pi\) |
−0.554604 | + | 0.832115i | \(0.687130\pi\) | |||||||
\(110\) | 2.87607 | − | 2.40127i | 0.274223 | − | 0.228952i | ||||
\(111\) | 12.6217 | − | 11.4524i | 1.19799 | − | 1.08702i | ||||
\(112\) | −0.636278 | + | 0.261202i | −0.0601226 | + | 0.0246813i | ||||
\(113\) | −2.82685 | − | 17.8480i | −0.265928 | − | 1.67900i | −0.653316 | − | 0.757086i | \(-0.726622\pi\) |
0.387388 | − | 0.921917i | \(-0.373378\pi\) | |||||||
\(114\) | 3.40054 | + | 15.7023i | 0.318489 | + | 1.47066i | ||||
\(115\) | 4.68007 | − | 9.53589i | 0.436419 | − | 0.889227i | ||||
\(116\) | 15.4731 | + | 1.62629i | 1.43664 | + | 0.150997i | ||||
\(117\) | 5.15552 | + | 5.07715i | 0.476628 | + | 0.469383i | ||||
\(118\) | −19.4195 | + | 19.4195i | −1.78771 | + | 1.78771i | ||||
\(119\) | 0.291317 | + | 12.6528i | 0.0267050 | + | 1.15988i | ||||
\(120\) | 7.83832 | + | 6.79496i | 0.715537 | + | 0.620292i | ||||
\(121\) | 6.99757 | + | 7.77159i | 0.636142 | + | 0.706508i | ||||
\(122\) | −17.1827 | + | 26.4590i | −1.55565 | + | 2.39549i | ||||
\(123\) | 3.33263 | + | 6.47920i | 0.300494 | + | 0.584210i | ||||
\(124\) | 11.7917 | + | 6.80797i | 1.05893 | + | 0.611373i | ||||
\(125\) | 8.74050 | − | 6.97163i | 0.781774 | − | 0.623561i | ||||
\(126\) | 1.33595 | − | 18.0105i | 0.119016 | − | 1.60450i | ||||
\(127\) | 17.8160 | + | 2.82177i | 1.58091 | + | 0.250392i | 0.884253 | − | 0.467009i | \(-0.154668\pi\) |
0.696660 | + | 0.717401i | \(0.254668\pi\) | |||||||
\(128\) | 0.927183 | − | 17.6917i | 0.0819522 | − | 1.56374i | ||||
\(129\) | −2.61653 | − | 7.94915i | −0.230373 | − | 0.699884i | ||||
\(130\) | 11.7264 | + | 3.61672i | 1.02847 | + | 0.317207i | ||||
\(131\) | −1.57125 | + | 7.39214i | −0.137281 | + | 0.645854i | 0.854664 | + | 0.519181i | \(0.173763\pi\) |
−0.991945 | + | 0.126673i | \(0.959570\pi\) | |||||||
\(132\) | 2.53822 | − | 3.15910i | 0.220924 | − | 0.274965i | ||||
\(133\) | 2.55107 | − | 10.4799i | 0.221205 | − | 0.908726i | ||||
\(134\) | −5.32595 | − | 3.86953i | −0.460092 | − | 0.334277i | ||||
\(135\) | 10.7332 | − | 4.44959i | 0.923765 | − | 0.382960i | ||||
\(136\) | −11.7048 | − | 5.21133i | −1.00368 | − | 0.446868i | ||||
\(137\) | 11.7784 | + | 14.5451i | 1.00629 | + | 1.24267i | 0.969944 | + | 0.243330i | \(0.0782397\pi\) |
0.0363497 | + | 0.999339i | \(0.488427\pi\) | |||||||
\(138\) | 4.77625 | − | 18.1022i | 0.406582 | − | 1.54096i | ||||
\(139\) | −2.60342 | − | 3.58329i | −0.220819 | − | 0.303931i | 0.684207 | − | 0.729288i | \(-0.260149\pi\) |
−0.905026 | + | 0.425357i | \(0.860149\pi\) | |||||||
\(140\) | −7.39798 | − | 17.2792i | −0.625244 | − | 1.46036i | ||||
\(141\) | −2.89688 | + | 5.06221i | −0.243961 | + | 0.426315i | ||||
\(142\) | 16.2392 | + | 25.0061i | 1.36276 | + | 2.09847i | ||||
\(143\) | 0.459707 | − | 1.71565i | 0.0384427 | − | 0.143470i | ||||
\(144\) | −0.678378 | − | 0.384765i | −0.0565315 | − | 0.0320637i | ||||
\(145\) | 0.981205 | − | 10.9058i | 0.0814847 | − | 0.905679i | ||||
\(146\) | 4.35149 | + | 1.41388i | 0.360132 | + | 0.117014i | ||||
\(147\) | −6.08831 | + | 10.4849i | −0.502155 | + | 0.864777i | ||||
\(148\) | 4.89055 | − | 30.8777i | 0.402000 | − | 2.53813i | ||||
\(149\) | −4.23587 | + | 7.33674i | −0.347016 | + | 0.601050i | −0.985718 | − | 0.168405i | \(-0.946138\pi\) |
0.638702 | + | 0.769454i | \(0.279472\pi\) | |||||||
\(150\) | 12.6827 | − | 15.0810i | 1.03554 | − | 1.23136i | ||||
\(151\) | 6.26701 | + | 10.8548i | 0.510002 | + | 0.883349i | 0.999933 | + | 0.0115877i | \(0.00368856\pi\) |
−0.489931 | + | 0.871761i | \(0.662978\pi\) | |||||||
\(152\) | 8.48584 | + | 6.87170i | 0.688293 | + | 0.557368i | ||||
\(153\) | −11.0831 | + | 9.11638i | −0.896018 | + | 0.737015i | ||||
\(154\) | −4.00733 | + | 1.89588i | −0.322920 | + | 0.152774i | ||||
\(155\) | 4.66647 | − | 8.36985i | 0.374820 | − | 0.672283i | ||||
\(156\) | 13.2054 | + | 1.33684i | 1.05728 | + | 0.107032i | ||||
\(157\) | −3.63652 | + | 13.5717i | −0.290226 | + | 1.08314i | 0.654709 | + | 0.755881i | \(0.272791\pi\) |
−0.944935 | + | 0.327257i | \(0.893876\pi\) | |||||||
\(158\) | −2.76621 | + | 0.144971i | −0.220068 | + | 0.0115333i | ||||
\(159\) | 4.59754 | − | 2.67792i | 0.364608 | − | 0.212373i | ||||
\(160\) | −13.2917 | − | 0.496934i | −1.05080 | − | 0.0392861i | ||||
\(161\) | −8.19284 | + | 9.53143i | −0.645687 | + | 0.751182i | ||||
\(162\) | 17.0015 | − | 11.4149i | 1.33576 | − | 0.896839i | ||||
\(163\) | −4.05860 | + | 10.5730i | −0.317894 | + | 0.828142i | 0.677783 | + | 0.735262i | \(0.262941\pi\) |
−0.995677 | + | 0.0928804i | \(0.970393\pi\) | |||||||
\(164\) | 12.2096 | + | 5.43606i | 0.953409 | + | 0.424485i | ||||
\(165\) | −2.24989 | − | 1.75286i | −0.175153 | − | 0.136460i | ||||
\(166\) | −0.618852 | + | 0.275531i | −0.0480322 | + | 0.0213853i | ||||
\(167\) | 1.61431 | + | 0.822533i | 0.124919 | + | 0.0636495i | 0.515333 | − | 0.856990i | \(-0.327668\pi\) |
−0.390414 | + | 0.920639i | \(0.627668\pi\) | |||||||
\(168\) | −6.95893 | − | 10.1108i | −0.536893 | − | 0.780065i | ||||
\(169\) | −6.83103 | + | 2.21954i | −0.525464 | + | 0.170734i | ||||
\(170\) | −9.56475 | + | 22.3797i | −0.733583 | + | 1.71645i | ||||
\(171\) | 11.1344 | − | 5.05987i | 0.851466 | − | 0.386938i | ||||
\(172\) | −12.8744 | − | 8.36076i | −0.981667 | − | 0.637502i | ||||
\(173\) | 5.46142 | − | 6.74429i | 0.415224 | − | 0.512759i | −0.526026 | − | 0.850468i | \(-0.676319\pi\) |
0.941251 | + | 0.337709i | \(0.109652\pi\) | |||||||
\(174\) | −2.09076 | − | 19.1852i | −0.158500 | − | 1.45443i | ||||
\(175\) | −12.0816 | + | 5.38837i | −0.913285 | + | 0.407322i | ||||
\(176\) | 0.191442i | 0.0144305i | ||||||||
\(177\) | 17.5766 | + | 11.3189i | 1.32114 | + | 0.850781i | ||||
\(178\) | 3.39136 | − | 5.22224i | 0.254193 | − | 0.391423i | ||||
\(179\) | −5.91405 | + | 1.25707i | −0.442037 | + | 0.0939578i | −0.423553 | − | 0.905871i | \(-0.639217\pi\) |
−0.0184837 | + | 0.999829i | \(0.505884\pi\) | |||||||
\(180\) | 10.2358 | − | 18.6943i | 0.762929 | − | 1.39339i | ||||
\(181\) | −6.66469 | − | 20.5118i | −0.495383 | − | 1.52463i | −0.816359 | − | 0.577544i | \(-0.804011\pi\) |
0.320977 | − | 0.947087i | \(-0.395989\pi\) | |||||||
\(182\) | −12.3561 | − | 7.62566i | −0.915897 | − | 0.565251i | ||||
\(183\) | 22.4535 | + | 8.52057i | 1.65981 | + | 0.629859i | ||||
\(184\) | −5.17529 | − | 11.6239i | −0.381528 | − | 0.856925i | ||||
\(185\) | −21.7807 | − | 3.11580i | −1.60135 | − | 0.229078i | ||||
\(186\) | 5.15757 | − | 16.0827i | 0.378171 | − | 1.17924i | ||||
\(187\) | 3.28871 | + | 1.26242i | 0.240494 | + | 0.0923170i | ||||
\(188\) | 1.67365 | + | 10.5670i | 0.122064 | + | 0.770679i | ||||
\(189\) | −13.6147 | + | 1.90789i | −0.990323 | + | 0.138779i | ||||
\(190\) | 12.8100 | − | 16.3131i | 0.929334 | − | 1.18347i | ||||
\(191\) | 6.01141 | + | 13.5018i | 0.434970 | + | 0.976959i | 0.989465 | + | 0.144772i | \(0.0462449\pi\) |
−0.554495 | + | 0.832187i | \(0.687088\pi\) | |||||||
\(192\) | −22.2509 | + | 3.61159i | −1.60582 | + | 0.260644i | ||||
\(193\) | −3.43782 | − | 0.921162i | −0.247460 | − | 0.0663067i | 0.132957 | − | 0.991122i | \(-0.457553\pi\) |
−0.380417 | + | 0.924815i | \(0.624219\pi\) | |||||||
\(194\) | −26.3703 | − | 5.60518i | −1.89328 | − | 0.402429i | ||||
\(195\) | 0.801436 | − | 9.30694i | 0.0573920 | − | 0.666484i | ||||
\(196\) | 3.34022 | + | 21.9879i | 0.238587 | + | 1.57056i | ||||
\(197\) | 4.89826 | + | 9.61338i | 0.348987 | + | 0.684925i | 0.997058 | − | 0.0766550i | \(-0.0244240\pi\) |
−0.648071 | + | 0.761580i | \(0.724424\pi\) | |||||||
\(198\) | −4.49621 | − | 2.24772i | −0.319532 | − | 0.159739i | ||||
\(199\) | −20.8774 | + | 12.0536i | −1.47996 | + | 0.854455i | −0.999742 | − | 0.0226940i | \(-0.992776\pi\) |
−0.480218 | + | 0.877149i | \(0.659442\pi\) | |||||||
\(200\) | 0.299677 | − | 13.3889i | 0.0211903 | − | 0.946735i | ||||
\(201\) | −2.02075 | + | 4.58587i | −0.142533 | + | 0.323462i | ||||
\(202\) | 29.1559 | + | 4.61783i | 2.05140 | + | 0.324910i | ||||
\(203\) | −4.36339 | + | 12.1992i | −0.306250 | + | 0.856215i | ||||
\(204\) | −5.37444 | + | 25.7696i | −0.376286 | + | 1.80423i | ||||
\(205\) | 3.69663 | − | 8.64942i | 0.258184 | − | 0.604102i | ||||
\(206\) | −5.66815 | − | 5.10363i | −0.394919 | − | 0.355586i | ||||
\(207\) | −14.2373 | − | 0.636843i | −0.989559 | − | 0.0442636i | ||||
\(208\) | −0.525864 | + | 0.341500i | −0.0364621 | + | 0.0236788i | ||||
\(209\) | −2.42878 | − | 1.76461i | −0.168002 | − | 0.122061i | ||||
\(210\) | −19.0056 | + | 13.5052i | −1.31151 | + | 0.931946i | ||||
\(211\) | −7.22108 | + | 5.24642i | −0.497119 | + | 0.361178i | −0.807916 | − | 0.589298i | \(-0.799404\pi\) |
0.310796 | + | 0.950477i | \(0.399404\pi\) | |||||||
\(212\) | 3.49757 | − | 9.11149i | 0.240214 | − | 0.625780i | ||||
\(213\) | 15.9877 | − | 16.1106i | 1.09546 | − | 1.10388i | ||||
\(214\) | −12.6899 | + | 28.5019i | −0.867462 | + | 1.94835i | ||||
\(215\) | −5.74777 | + | 9.14814i | −0.391995 | + | 0.623898i | ||||
\(216\) | 4.14842 | − | 13.2849i | 0.282264 | − | 0.903926i | ||||
\(217\) | −7.83089 | + | 8.19998i | −0.531595 | + | 0.556651i | ||||
\(218\) | 15.6077 | + | 15.6077i | 1.05709 | + | 1.05709i | ||||
\(219\) | 0.350799 | − | 3.46523i | 0.0237048 | − | 0.234159i | ||||
\(220\) | −5.23113 | + | 0.0784233i | −0.352682 | + | 0.00528729i | ||||
\(221\) | 2.39882 | + | 11.2856i | 0.161362 | + | 0.759150i | ||||
\(222\) | −38.7174 | + | 2.17780i | −2.59854 | + | 0.146164i | ||||
\(223\) | −0.148372 | + | 0.936784i | −0.00993572 | + | 0.0627317i | −0.992158 | − | 0.124990i | \(-0.960110\pi\) |
0.982222 | + | 0.187721i | \(0.0601102\pi\) | |||||||
\(224\) | 15.0757 | + | 4.51749i | 1.00729 | + | 0.301837i | ||||
\(225\) | −13.2634 | − | 7.00584i | −0.884228 | − | 0.467056i | ||||
\(226\) | −20.5583 | + | 35.6080i | −1.36752 | + | 2.36861i | ||||
\(227\) | −6.22314 | + | 2.38884i | −0.413045 | + | 0.158553i | −0.556012 | − | 0.831175i | \(-0.687669\pi\) |
0.142967 | + | 0.989727i | \(0.454336\pi\) | |||||||
\(228\) | 10.1083 | − | 20.0279i | 0.669437 | − | 1.32638i | ||||
\(229\) | 5.41810 | − | 4.87848i | 0.358038 | − | 0.322379i | −0.470407 | − | 0.882450i | \(-0.655893\pi\) |
0.828445 | + | 0.560071i | \(0.189226\pi\) | |||||||
\(230\) | −21.9302 | + | 10.1606i | −1.44604 | + | 0.669967i | ||||
\(231\) | 2.05615 | + | 2.67592i | 0.135285 | + | 0.176062i | ||||
\(232\) | −9.27451 | − | 9.27451i | −0.608901 | − | 0.608901i | ||||
\(233\) | −1.19728 | − | 1.84364i | −0.0784361 | − | 0.120781i | 0.797275 | − | 0.603616i | \(-0.206274\pi\) |
−0.875712 | + | 0.482835i | \(0.839607\pi\) | |||||||
\(234\) | −1.84630 | − | 16.3601i | −0.120696 | − | 1.06949i | ||||
\(235\) | 7.41851 | − | 1.28925i | 0.483930 | − | 0.0841017i | ||||
\(236\) | 38.1382 | − | 4.00849i | 2.48259 | − | 0.260930i | ||||
\(237\) | 0.553544 | + | 2.03465i | 0.0359565 | + | 0.132165i | ||||
\(238\) | 17.6027 | − | 22.7907i | 1.14101 | − | 1.47730i | ||||
\(239\) | −11.3369 | + | 8.23674i | −0.733323 | + | 0.532790i | −0.890613 | − | 0.454762i | \(-0.849724\pi\) |
0.157290 | + | 0.987552i | \(0.449724\pi\) | |||||||
\(240\) | 0.176192 | + | 0.991308i | 0.0113731 | + | 0.0639887i | ||||
\(241\) | 0.795298 | − | 7.56676i | 0.0512297 | − | 0.487418i | −0.938584 | − | 0.345050i | \(-0.887862\pi\) |
0.989814 | − | 0.142367i | \(-0.0454714\pi\) | |||||||
\(242\) | −1.24532 | − | 23.7622i | −0.0800524 | − | 1.52749i | ||||
\(243\) | −11.2317 | − | 10.8096i | −0.720516 | − | 0.693439i | ||||
\(244\) | 41.8969 | − | 13.6131i | 2.68218 | − | 0.871492i | ||||
\(245\) | 15.4380 | − | 2.58253i | 0.986295 | − | 0.164992i | ||||
\(246\) | 3.38468 | − | 16.2290i | 0.215800 | − | 1.03473i | ||||
\(247\) | 0.514607 | − | 9.81929i | 0.0327437 | − | 0.624787i | ||||
\(248\) | −4.11357 | − | 10.7162i | −0.261212 | − | 0.680481i | ||||
\(249\) | 0.304698 | + | 0.416022i | 0.0193095 | + | 0.0263643i | ||||
\(250\) | −25.4384 | − | 0.187949i | −1.60886 | − | 0.0118869i | ||||
\(251\) | − | 30.4776i | − | 1.92373i | −0.273530 | − | 0.961864i | \(-0.588191\pi\) | ||
0.273530 | − | 0.961864i | \(-0.411809\pi\) | |||||||
\(252\) | −17.2764 | + | 18.3704i | −1.08831 | + | 1.15722i | ||||
\(253\) | 1.58820 | + | 3.11702i | 0.0998495 | + | 0.195966i | ||||
\(254\) | −27.4629 | − | 30.5007i | −1.72318 | − | 1.91378i | ||||
\(255\) | 18.1912 | + | 3.51021i | 1.13918 | + | 0.219818i | ||||
\(256\) | −9.55553 | + | 10.6125i | −0.597220 | + | 0.663280i | ||||
\(257\) | 6.25820 | + | 23.3559i | 0.390376 | + | 1.45690i | 0.829516 | + | 0.558483i | \(0.188616\pi\) |
−0.439140 | + | 0.898419i | \(0.644717\pi\) | |||||||
\(258\) | −6.75578 | + | 17.8029i | −0.420597 | + | 1.10836i | ||||
\(259\) | 24.0203 | + | 10.0386i | 1.49255 | + | 0.623768i | ||||
\(260\) | −9.54689 | − | 14.2293i | −0.592073 | − | 0.882464i | ||||
\(261\) | −13.9366 | + | 4.64658i | −0.862653 | + | 0.287616i | ||||
\(262\) | 13.3633 | − | 10.8214i | 0.825588 | − | 0.668548i | ||||
\(263\) | −22.2606 | + | 18.0263i | −1.37265 | + | 1.11155i | −0.391095 | + | 0.920350i | \(0.627904\pi\) |
−0.981552 | + | 0.191197i | \(0.938763\pi\) | |||||||
\(264\) | −3.33895 | + | 0.723091i | −0.205498 | + | 0.0445032i | ||||
\(265\) | −6.44879 | − | 2.36517i | −0.396146 | − | 0.145291i | ||||
\(266\) | −19.5174 | + | 14.8785i | −1.19669 | + | 0.912257i | ||||
\(267\) | −4.43166 | − | 1.68171i | −0.271213 | − | 0.102919i | ||||
\(268\) | 2.37919 | + | 8.87927i | 0.145332 | + | 0.542388i | ||||
\(269\) | 9.83304 | − | 10.9207i | 0.599531 | − | 0.665846i | −0.364634 | − | 0.931151i | \(-0.618806\pi\) |
0.964165 | + | 0.265305i | \(0.0854725\pi\) | |||||||
\(270\) | −25.3506 | − | 7.50094i | −1.54279 | − | 0.456493i | ||||
\(271\) | 6.74060 | + | 7.48620i | 0.409462 | + | 0.454754i | 0.912237 | − | 0.409664i | \(-0.134354\pi\) |
−0.502774 | + | 0.864418i | \(0.667687\pi\) | |||||||
\(272\) | −0.564569 | − | 1.10803i | −0.0342320 | − | 0.0671841i | ||||
\(273\) | −3.68255 | + | 10.4214i | −0.222878 | + | 0.630730i | ||||
\(274\) | − | 42.5852i | − | 2.57267i | ||||||
\(275\) | 0.110375 | + | 3.68040i | 0.00665588 | + | 0.221936i | ||||
\(276\) | −21.0904 | + | 15.4468i | −1.26949 | + | 0.929787i | ||||
\(277\) | −4.15491 | − | 10.8239i | −0.249644 | − | 0.650346i | 0.750298 | − | 0.661100i | \(-0.229910\pi\) |
−0.999942 | + | 0.0107542i | \(0.996577\pi\) | |||||||
\(278\) | −0.527437 | + | 10.0641i | −0.0316336 | + | 0.603605i | ||||
\(279\) | −12.7962 | − | 1.24592i | −0.766087 | − | 0.0745914i | ||||
\(280\) | −4.32042 | + | 15.2455i | −0.258194 | + | 0.911094i | ||||
\(281\) | 20.0377 | − | 6.51064i | 1.19535 | − | 0.388392i | 0.357301 | − | 0.933989i | \(-0.383697\pi\) |
0.838048 | + | 0.545597i | \(0.183697\pi\) | |||||||
\(282\) | 12.3711 | − | 4.80327i | 0.736690 | − | 0.286030i | ||||
\(283\) | −0.855363 | − | 16.3213i | −0.0508460 | − | 0.970200i | −0.898314 | − | 0.439354i | \(-0.855207\pi\) |
0.847468 | − | 0.530846i | \(-0.178126\pi\) | |||||||
\(284\) | 4.35194 | − | 41.4060i | 0.258240 | − | 2.45699i | ||||
\(285\) | −14.2005 | − | 6.90206i | −0.841168 | − | 0.408843i | ||||
\(286\) | −3.26956 | + | 2.37547i | −0.193333 | + | 0.140465i | ||||
\(287\) | −6.80316 | + | 8.80827i | −0.401578 | + | 0.519936i | ||||
\(288\) | 6.52255 | + | 16.6104i | 0.384345 | + | 0.978780i | ||||
\(289\) | −5.85047 | + | 0.614909i | −0.344145 | + | 0.0361711i | ||||
\(290\) | −17.3513 | + | 17.8794i | −1.01890 | + | 1.04992i | ||||
\(291\) | 0.0785900 | + | 20.5221i | 0.00460703 | + | 1.20303i | ||||
\(292\) | −3.47964 | − | 5.35817i | −0.203630 | − | 0.313563i | ||||
\(293\) | −14.0689 | − | 14.0689i | −0.821913 | − | 0.821913i | 0.164469 | − | 0.986382i | \(-0.447409\pi\) |
−0.986382 | + | 0.164469i | \(0.947409\pi\) | |||||||
\(294\) | 25.7792 | − | 9.82212i | 1.50348 | − | 0.572838i | ||||
\(295\) | −3.22319 | − | 26.7962i | −0.187661 | − | 1.56013i | ||||
\(296\) | −19.5858 | + | 17.6351i | −1.13840 | + | 1.02502i | ||||
\(297\) | −0.947843 | + | 3.70725i | −0.0549995 | + | 0.215116i | ||||
\(298\) | 17.9958 | − | 6.90793i | 1.04247 | − | 0.400166i | ||||
\(299\) | −5.72895 | + | 9.92284i | −0.331314 | + | 0.573852i | ||||
\(300\) | −27.0152 | + | 5.22051i | −1.55973 | + | 0.301406i | ||||
\(301\) | 9.30052 | − | 8.77017i | 0.536073 | − | 0.505504i | ||||
\(302\) | 4.46137 | − | 28.1680i | 0.256723 | − | 1.62089i | ||||
\(303\) | −1.26196 | − | 22.4354i | −0.0724978 | − | 1.28888i | ||||
\(304\) | 0.220346 | + | 1.03665i | 0.0126377 | + | 0.0594558i | ||||
\(305\) | −10.0218 | − | 29.3399i | −0.573845 | − | 1.68000i | ||||
\(306\) | 32.6519 | − | 0.250086i | 1.86658 | − | 0.0142965i | ||||
\(307\) | 8.71520 | + | 8.71520i | 0.497403 | + | 0.497403i | 0.910629 | − | 0.413226i | \(-0.135598\pi\) |
−0.413226 | + | 0.910629i | \(0.635598\pi\) | |||||||
\(308\) | 6.01461 | + | 1.46410i | 0.342714 | + | 0.0834248i | ||||
\(309\) | −2.88376 | + | 5.03929i | −0.164051 | + | 0.286675i | ||||
\(310\) | −20.2365 | + | 8.11816i | −1.14936 | + | 0.461081i | ||||
\(311\) | −3.88244 | + | 8.72010i | −0.220153 | + | 0.494472i | −0.989531 | − | 0.144322i | \(-0.953900\pi\) |
0.769378 | + | 0.638794i | \(0.220566\pi\) | |||||||
\(312\) | −7.94237 | − | 7.88177i | −0.449648 | − | 0.446217i | ||||
\(313\) | 9.82350 | − | 25.5911i | 0.555257 | − | 1.44649i | −0.312699 | − | 0.949852i | \(-0.601233\pi\) |
0.867956 | − | 0.496641i | \(-0.165434\pi\) | |||||||
\(314\) | 25.8639 | − | 18.7912i | 1.45958 | − | 1.06045i | ||||
\(315\) | 13.1098 | + | 11.9639i | 0.738651 | + | 0.674088i | ||||
\(316\) | 3.12919 | + | 2.27349i | 0.176031 | + | 0.127894i | ||||
\(317\) | 16.5003 | − | 10.7154i | 0.926749 | − | 0.601838i | 0.00941440 | − | 0.999956i | \(-0.497003\pi\) |
0.917334 | + | 0.398118i | \(0.130337\pi\) | |||||||
\(318\) | −11.9642 | − | 1.84801i | −0.670921 | − | 0.103631i | ||||
\(319\) | 2.67989 | + | 2.41298i | 0.150045 | + | 0.135101i | ||||
\(320\) | 21.9162 | + | 19.1465i | 1.22515 | + | 1.07032i | ||||
\(321\) | 23.2495 | + | 4.84885i | 1.29766 | + | 0.270636i | ||||
\(322\) | 28.1354 | − | 5.12267i | 1.56792 | − | 0.285475i | ||||
\(323\) | 19.2612 | + | 3.05068i | 1.07172 | + | 0.169744i | ||||
\(324\) | −28.4803 | − | 2.55299i | −1.58224 | − | 0.141833i | ||||
\(325\) | −9.91266 | + | 6.86840i | −0.549855 | + | 0.380991i | ||||
\(326\) | 22.3164 | − | 12.8844i | 1.23599 | − | 0.713599i | ||||
\(327\) | 9.09718 | − | 14.1266i | 0.503075 | − | 0.781201i | ||||
\(328\) | −5.11517 | − | 10.0391i | −0.282438 | − | 0.554316i | ||||
\(329\) | −8.87955 | − | 0.727077i | −0.489546 | − | 0.0400851i | ||||
\(330\) | 1.46846 | + | 6.32117i | 0.0808361 | + | 0.347969i | ||||
\(331\) | −15.1415 | − | 3.21842i | −0.832250 | − | 0.176900i | −0.227966 | − | 0.973669i | \(-0.573208\pi\) |
−0.604284 | + | 0.796769i | \(0.706541\pi\) | |||||||
\(332\) | 0.913679 | + | 0.244820i | 0.0501447 | + | 0.0134362i | ||||
\(333\) | 7.85833 | + | 28.4542i | 0.430634 | + | 1.55928i | ||||
\(334\) | −1.67674 | − | 3.76602i | −0.0917472 | − | 0.206068i | ||||
\(335\) | 6.22337 | − | 1.76795i | 0.340019 | − | 0.0965933i | ||||
\(336\) | 0.0926744 | − | 1.18770i | 0.00505580 | − | 0.0647946i | ||||
\(337\) | 4.54242 | + | 28.6797i | 0.247442 | + | 1.56229i | 0.728158 | + | 0.685409i | \(0.240377\pi\) |
−0.480717 | + | 0.876876i | \(0.659623\pi\) | |||||||
\(338\) | 15.2573 | + | 5.85672i | 0.829887 | + | 0.318564i | ||||
\(339\) | 29.8040 | + | 9.55788i | 1.61873 | + | 0.519113i | ||||
\(340\) | 30.0455 | − | 15.8807i | 1.62945 | − | 0.861252i | ||||
\(341\) | 1.28363 | + | 2.88309i | 0.0695127 | + | 0.156128i | ||||
\(342\) | −26.9339 | − | 6.99626i | −1.45642 | − | 0.378314i | ||||
\(343\) | −18.4486 | − | 1.62805i | −0.996129 | − | 0.0879065i | ||||
\(344\) | 3.99910 | + | 12.3080i | 0.215617 | + | 0.663601i | ||||
\(345\) | 11.0926 | + | 14.6786i | 0.597207 | + | 0.790271i | ||||
\(346\) | −19.3145 | + | 4.10543i | −1.03836 | + | 0.220709i | ||||
\(347\) | 11.6341 | − | 17.9150i | 0.624554 | − | 0.961728i | −0.374846 | − | 0.927087i | \(-0.622304\pi\) |
0.999400 | − | 0.0346413i | \(-0.0110289\pi\) | |||||||
\(348\) | −14.5902 | + | 22.6564i | −0.782116 | + | 1.21451i | ||||
\(349\) | − | 5.83600i | − | 0.312394i | −0.987726 | − | 0.156197i | \(-0.950077\pi\) | ||
0.987726 | − | 0.156197i | \(-0.0499234\pi\) | |||||||
\(350\) | 29.0792 | + | 7.77179i | 1.55435 | + | 0.415419i | ||||
\(351\) | −11.8741 | + | 4.00952i | −0.633793 | + | 0.214012i | ||||
\(352\) | 2.75671 | − | 3.40425i | 0.146933 | − | 0.181447i | ||||
\(353\) | 14.8017 | + | 9.61235i | 0.787816 | + | 0.511614i | 0.874735 | − | 0.484601i | \(-0.161035\pi\) |
−0.0869187 | + | 0.996215i | \(0.527702\pi\) | |||||||
\(354\) | −14.8724 | − | 45.1831i | −0.790459 | − | 2.40145i | ||||
\(355\) | −29.1839 | − | 2.62570i | −1.54892 | − | 0.139358i | ||||
\(356\) | −8.26923 | + | 2.68684i | −0.438268 | + | 0.142402i | ||||
\(357\) | −19.7920 | − | 9.42405i | −1.04750 | − | 0.498774i | ||||
\(358\) | 12.2576 | + | 6.24558i | 0.647837 | + | 0.330089i | ||||
\(359\) | 12.7399 | − | 5.67216i | 0.672386 | − | 0.299365i | −0.0420000 | − | 0.999118i | \(-0.513373\pi\) |
0.714386 | + | 0.699752i | \(0.246706\pi\) | |||||||
\(360\) | −16.6240 | + | 6.81723i | −0.876162 | + | 0.359299i | ||||
\(361\) | 2.17461 | + | 0.968198i | 0.114453 | + | 0.0509578i | ||||
\(362\) | −17.5862 | + | 45.8137i | −0.924312 | + | 2.40792i | ||||
\(363\) | −17.4780 | + | 4.75503i | −0.917357 | + | 0.249574i | ||||
\(364\) | 6.70740 | + | 19.1330i | 0.351563 | + | 1.00284i | ||||
\(365\) | −3.73391 | + | 2.50520i | −0.195442 | + | 0.131128i | ||||
\(366\) | −27.5031 | − | 47.2182i | −1.43761 | − | 2.46813i | ||||
\(367\) | 22.1597 | − | 1.16134i | 1.15672 | − | 0.0606214i | 0.535697 | − | 0.844410i | \(-0.320049\pi\) |
0.621028 | + | 0.783789i | \(0.286715\pi\) | |||||||
\(368\) | 0.319634 | − | 1.19289i | 0.0166620 | − | 0.0621836i | ||||
\(369\) | −12.6194 | + | 0.0966544i | −0.656942 | + | 0.00503163i | ||||
\(370\) | 34.0526 | + | 36.6977i | 1.77031 | + | 1.90782i | ||||
\(371\) | 6.68336 | + | 4.62451i | 0.346983 | + | 0.240093i | ||||
\(372\) | −19.7294 | + | 12.9201i | −1.02292 | + | 0.669878i | ||||
\(373\) | −11.3885 | − | 9.22221i | −0.589673 | − | 0.477508i | 0.287436 | − | 0.957800i | \(-0.407197\pi\) |
−0.877109 | + | 0.480292i | \(0.840531\pi\) | |||||||
\(374\) | −4.00764 | − | 6.94144i | −0.207230 | − | 0.358933i | ||||
\(375\) | 3.95876 | + | 18.9560i | 0.204429 | + | 0.978881i | ||||
\(376\) | 4.50968 | − | 7.81099i | 0.232569 | − | 0.402821i | ||||
\(377\) | −1.84766 | + | 11.6657i | −0.0951593 | + | 0.600812i | ||||
\(378\) | 26.8064 | + | 16.1214i | 1.37877 | + | 0.829197i | ||||
\(379\) | −28.1983 | − | 9.16217i | −1.44845 | − | 0.470629i | −0.523928 | − | 0.851763i | \(-0.675534\pi\) |
−0.924520 | + | 0.381133i | \(0.875534\pi\) | |||||||
\(380\) | −28.2361 | + | 6.44560i | −1.44848 | + | 0.330652i | ||||
\(381\) | −18.2672 | + | 25.3461i | −0.935855 | + | 1.29852i | ||||
\(382\) | 8.70372 | − | 32.4827i | 0.445321 | − | 1.66196i | ||||
\(383\) | −7.09320 | − | 10.9226i | −0.362445 | − | 0.558117i | 0.609660 | − | 0.792663i | \(-0.291306\pi\) |
−0.972105 | + | 0.234546i | \(0.924640\pi\) | |||||||
\(384\) | 26.6325 | + | 15.2406i | 1.35909 | + | 0.777744i | ||||
\(385\) | 0.966855 | − | 4.24802i | 0.0492755 | − | 0.216499i | ||||
\(386\) | 4.75997 | + | 6.55154i | 0.242276 | + | 0.333464i | ||||
\(387\) | 14.3335 | + | 2.15781i | 0.728613 | + | 0.109687i | ||||
\(388\) | 23.6906 | + | 29.2555i | 1.20271 | + | 1.48522i | ||||
\(389\) | 3.09992 | + | 1.38017i | 0.157172 | + | 0.0699776i | 0.483815 | − | 0.875170i | \(-0.339251\pi\) |
−0.326643 | + | 0.945148i | \(0.605917\pi\) | |||||||
\(390\) | −14.7439 | + | 15.3096i | −0.746587 | + | 0.775231i | ||||
\(391\) | −18.3845 | − | 13.3571i | −0.929742 | − | 0.675497i | ||||
\(392\) | 9.47698 | − | 16.1776i | 0.478660 | − | 0.817093i | ||||
\(393\) | −10.2040 | − | 8.19853i | −0.514724 | − | 0.413561i | ||||
\(394\) | 5.10411 | − | 24.0129i | 0.257141 | − | 1.20975i | ||||
\(395\) | 1.56688 | − | 2.22605i | 0.0788382 | − | 0.112004i | ||||
\(396\) | 2.90394 | + | 6.39020i | 0.145929 | + | 0.321119i | ||||
\(397\) | −0.347800 | + | 6.63642i | −0.0174556 | + | 0.333072i | 0.975918 | + | 0.218139i | \(0.0699987\pi\) |
−0.993373 | + | 0.114933i | \(0.963335\pi\) | |||||||
\(398\) | 54.1766 | + | 8.58073i | 2.71563 | + | 0.430113i | ||||
\(399\) | 14.2139 | + | 12.1234i | 0.711585 | + | 0.606928i | ||||
\(400\) | 0.840409 | − | 0.991600i | 0.0420205 | − | 0.0495800i | ||||
\(401\) | 23.9670 | + | 13.8374i | 1.19685 | + | 0.691004i | 0.959853 | − | 0.280505i | \(-0.0905018\pi\) |
0.237002 | + | 0.971509i | \(0.423835\pi\) | |||||||
\(402\) | 10.1398 | − | 5.21550i | 0.505728 | − | 0.260125i | ||||
\(403\) | −5.62966 | + | 8.66892i | −0.280434 | + | 0.431830i | ||||
\(404\) | −27.5810 | − | 30.6318i | −1.37221 | − | 1.52399i | ||||
\(405\) | −1.49611 | + | 20.0689i | −0.0743425 | + | 0.997233i | ||||
\(406\) | 25.1839 | − | 15.3234i | 1.24985 | − | 0.760490i | ||||
\(407\) | 5.12378 | − | 5.12378i | 0.253976 | − | 0.253976i | ||||
\(408\) | 17.1928 | − | 14.0318i | 0.851171 | − | 0.694678i | ||||
\(409\) | −28.5379 | − | 2.99945i | −1.41111 | − | 0.148313i | −0.631886 | − | 0.775061i | \(-0.717719\pi\) |
−0.779222 | + | 0.626748i | \(0.784386\pi\) | |||||||
\(410\) | −18.9219 | + | 10.0012i | −0.934485 | + | 0.493926i | ||||
\(411\) | −31.6826 | + | 6.86127i | −1.56279 | + | 0.338441i | ||||
\(412\) | 1.66607 | + | 10.5192i | 0.0820815 | + | 0.518242i | ||||
\(413\) | −4.26828 | + | 31.6477i | −0.210028 | + | 1.55728i | ||||
\(414\) | 24.2634 | + | 21.5127i | 1.19248 | + | 1.05729i | ||||
\(415\) | 0.162644 | − | 0.645553i | 0.00798389 | − | 0.0316889i | ||||
\(416\) | 14.2685 | + | 1.49968i | 0.699573 | + | 0.0735281i | ||||
\(417\) | 7.57249 | − | 1.22911i | 0.370826 | − | 0.0601897i | ||||
\(418\) | 1.76796 | + | 6.59811i | 0.0864737 | + | 0.322724i | ||||
\(419\) | −7.29549 | − | 22.4532i | −0.356408 | − | 1.09691i | −0.955189 | − | 0.295998i | \(-0.904348\pi\) |
0.598781 | − | 0.800913i | \(-0.295652\pi\) | |||||||
\(420\) | 32.4919 | + | 2.04578i | 1.58544 | + | 0.0998240i | ||||
\(421\) | −5.98402 | + | 18.4169i | −0.291643 | + | 0.897586i | 0.692685 | + | 0.721240i | \(0.256428\pi\) |
−0.984328 | + | 0.176346i | \(0.943572\pi\) | |||||||
\(422\) | 20.2812 | + | 1.06289i | 0.987275 | + | 0.0517409i | ||||
\(423\) | −5.56676 | − | 8.43000i | −0.270665 | − | 0.409881i | ||||
\(424\) | −7.12543 | + | 4.11387i | −0.346042 | + | 0.199787i | ||||
\(425\) | −11.4925 | − | 20.9760i | −0.557466 | − | 1.01748i | ||||
\(426\) | −51.3395 | + | 5.59486i | −2.48741 | + | 0.271072i | ||||
\(427\) | 2.76267 | + | 36.5806i | 0.133695 | + | 1.77026i | ||||
\(428\) | 38.8167 | − | 19.7781i | 1.87627 | − | 0.956010i | ||||
\(429\) | 2.29409 | + | 2.04976i | 0.110760 | + | 0.0989633i | ||||
\(430\) | 23.2630 | − | 7.94606i | 1.12184 | − | 0.383193i | ||||
\(431\) | −13.0491 | − | 11.7494i | −0.628551 | − | 0.565950i | 0.292075 | − | 0.956395i | \(-0.405654\pi\) |
−0.920626 | + | 0.390446i | \(0.872321\pi\) | |||||||
\(432\) | 1.12437 | − | 0.748677i | 0.0540962 | − | 0.0360208i | ||||
\(433\) | 9.21531 | + | 4.69544i | 0.442860 | + | 0.225648i | 0.661178 | − | 0.750229i | \(-0.270057\pi\) |
−0.218318 | + | 0.975878i | \(0.570057\pi\) | |||||||
\(434\) | 25.5888 | − | 3.28660i | 1.22830 | − | 0.157762i | ||||
\(435\) | 16.0976 | + | 10.0283i | 0.771819 | + | 0.480821i | ||||
\(436\) | −3.22168 | − | 30.6523i | −0.154291 | − | 1.46798i | ||||
\(437\) | 12.1877 | + | 15.0505i | 0.583016 | + | 0.719965i | ||||
\(438\) | −5.58223 | + | 5.62515i | −0.266729 | + | 0.268780i | ||||
\(439\) | 21.1531 | − | 2.22329i | 1.00958 | − | 0.106112i | 0.414730 | − | 0.909945i | \(-0.363876\pi\) |
0.594855 | + | 0.803833i | \(0.297209\pi\) | |||||||
\(440\) | 3.46882 | + | 2.72392i | 0.165369 | + | 0.129858i | ||||
\(441\) | −11.4610 | − | 17.5968i | −0.545761 | − | 0.837941i | ||||
\(442\) | 11.9182 | − | 23.3908i | 0.566893 | − | 1.11259i | ||||
\(443\) | −14.7970 | + | 3.96486i | −0.703029 | + | 0.188376i | −0.592587 | − | 0.805507i | \(-0.701893\pi\) |
−0.110442 | + | 0.993883i | \(0.535227\pi\) | |||||||
\(444\) | 43.9285 | + | 31.6596i | 2.08476 | + | 1.50250i | ||||
\(445\) | 1.97801 | + | 5.79084i | 0.0937665 | + | 0.274512i | ||||
\(446\) | 1.60376 | − | 1.44403i | 0.0759401 | − | 0.0683768i | ||||
\(447\) | −8.03882 | − | 12.2755i | −0.380223 | − | 0.580613i | ||||
\(448\) | −19.4136 | − | 28.4391i | −0.917207 | − | 1.34362i | ||||
\(449\) | −9.03943 | −0.426597 | −0.213299 | − | 0.976987i | \(-0.568421\pi\) | ||||
−0.213299 | + | 0.976987i | \(0.568421\pi\) | |||||||
\(450\) | 13.4215 | + | 31.3803i | 0.632696 | + | 1.47928i | ||||
\(451\) | 1.54889 | + | 2.68276i | 0.0729345 | + | 0.126326i | ||||
\(452\) | 53.5996 | − | 20.5750i | 2.52111 | − | 0.967765i | ||||
\(453\) | −21.6753 | + | 1.21920i | −1.01839 | + | 0.0572832i | ||||
\(454\) | 14.4248 | + | 4.68691i | 0.676990 | + | 0.219967i | ||||
\(455\) | 13.3935 | − | 4.92195i | 0.627895 | − | 0.230745i | ||||
\(456\) | −17.2480 | + | 7.75859i | −0.807712 | + | 0.363329i | ||||
\(457\) | 13.1426 | − | 3.52155i | 0.614784 | − | 0.164731i | 0.0620287 | − | 0.998074i | \(-0.480243\pi\) |
0.552756 | + | 0.833343i | \(0.313576\pi\) | |||||||
\(458\) | −16.5662 | + | 0.868200i | −0.774089 | + | 0.0405683i | ||||
\(459\) | −5.44688 | − | 24.2521i | −0.254238 | − | 1.13199i | ||||
\(460\) | 32.7265 | + | 8.24530i | 1.52588 | + | 0.384439i | ||||
\(461\) | −21.5908 | − | 29.7172i | −1.00558 | − | 1.38407i | −0.921836 | − | 0.387581i | \(-0.873311\pi\) |
−0.0837486 | − | 0.996487i | \(-0.526689\pi\) | |||||||
\(462\) | 0.195861 | − | 7.67598i | 0.00911227 | − | 0.357119i | ||||
\(463\) | 7.26554 | − | 1.15075i | 0.337658 | − | 0.0534798i | 0.0146969 | − | 0.999892i | \(-0.495322\pi\) |
0.322961 | + | 0.946412i | \(0.395322\pi\) | |||||||
\(464\) | −0.133068 | − | 1.26606i | −0.00617755 | − | 0.0587754i | ||||
\(465\) | 9.30024 | + | 13.7476i | 0.431288 | + | 0.637530i | ||||
\(466\) | −0.522836 | + | 4.97446i | −0.0242199 | + | 0.230437i | ||||
\(467\) | 13.9231 | − | 9.04176i | 0.644284 | − | 0.418403i | −0.180716 | − | 0.983535i | \(-0.557842\pi\) |
0.825000 | + | 0.565132i | \(0.191175\pi\) | |||||||
\(468\) | −12.3728 | + | 19.3758i | −0.571935 | + | 0.895647i | ||||
\(469\) | −7.65293 | + | 0.176200i | −0.353380 | + | 0.00813618i | ||||
\(470\) | −14.9640 | − | 8.34294i | −0.690239 | − | 0.384831i | ||||
\(471\) | −18.1475 | − | 16.2146i | −0.836191 | − | 0.747131i | ||||
\(472\) | −27.1132 | − | 17.6075i | −1.24798 | − | 0.810451i | ||||
\(473\) | −1.27511 | − | 3.32177i | −0.0586295 | − | 0.152735i | ||||
\(474\) | 1.93464 | − | 4.39045i | 0.0888610 | − | 0.201660i | ||||
\(475\) | 4.83375 | + | 19.8021i | 0.221788 | + | 0.908584i | ||||
\(476\) | −39.1292 | + | 9.26340i | −1.79348 | + | 0.424587i | ||||
\(477\) | 0.552773 | + | 9.19892i | 0.0253097 | + | 0.421190i | ||||
\(478\) | 31.8410 | + | 1.66872i | 1.45637 | + | 0.0763253i | ||||
\(479\) | −19.0972 | + | 4.05923i | −0.872573 | + | 0.185471i | −0.622371 | − | 0.782722i | \(-0.713830\pi\) |
−0.250202 | + | 0.968194i | \(0.580497\pi\) | |||||||
\(480\) | 11.1415 | − | 20.1648i | 0.508538 | − | 0.920391i | ||||
\(481\) | 23.2143 | + | 4.93435i | 1.05848 | + | 0.224987i | ||||
\(482\) | −12.2413 | + | 12.2413i | −0.557574 | + | 0.557574i | ||||
\(483\) | −8.34430 | − | 20.1068i | −0.379679 | − | 0.914893i | ||||
\(484\) | −19.5296 | + | 26.8802i | −0.887711 | + | 1.22183i | ||||
\(485\) | 20.3376 | − | 16.9801i | 0.923482 | − | 0.771026i | ||||
\(486\) | 4.38222 | + | 35.1973i | 0.198782 | + | 1.59658i | ||||
\(487\) | 1.69783 | − | 1.37488i | 0.0769360 | − | 0.0623016i | −0.590081 | − | 0.807344i | \(-0.700904\pi\) |
0.667017 | + | 0.745043i | \(0.267571\pi\) | |||||||
\(488\) | −34.6713 | − | 13.3091i | −1.56950 | − | 0.602474i | ||||
\(489\) | −13.1813 | − | 14.5271i | −0.596079 | − | 0.656936i | ||||
\(490\) | −30.9964 | − | 17.5392i | −1.40028 | − | 0.792342i | ||||
\(491\) | −17.4560 | + | 24.0262i | −0.787779 | + | 1.08429i | 0.206602 | + | 0.978425i | \(0.433760\pi\) |
−0.994381 | + | 0.105860i | \(0.966240\pi\) | |||||||
\(492\) | −17.9342 | + | 14.6369i | −0.808536 | + | 0.659883i | ||||
\(493\) | −22.6267 | − | 6.06281i | −1.01906 | − | 0.273055i | ||||
\(494\) | −14.9704 | + | 16.6263i | −0.673549 | + | 0.748052i | ||||
\(495\) | 4.46624 | − | 2.11097i | 0.200743 | − | 0.0948808i | ||||
\(496\) | 0.344276 | − | 1.05957i | 0.0154585 | − | 0.0475762i | ||||
\(497\) | 32.6450 | + | 11.6764i | 1.46433 | + | 0.523759i | ||||
\(498\) | 0.0569194 | − | 1.17194i | 0.00255062 | − | 0.0525159i | ||||
\(499\) | 15.9629 | + | 9.21620i | 0.714599 | + | 0.412574i | 0.812762 | − | 0.582597i | \(-0.197963\pi\) |
−0.0981626 | + | 0.995170i | \(0.531297\pi\) | |||||||
\(500\) | 27.4397 | + | 22.5579i | 1.22714 | + | 1.00882i | ||||
\(501\) | −2.53170 | + | 1.85424i | −0.113108 | + | 0.0828413i | ||||
\(502\) | −43.6413 | + | 53.8926i | −1.94781 | + | 2.40534i | ||||
\(503\) | −0.521080 | + | 0.265503i | −0.0232338 | + | 0.0118382i | −0.465569 | − | 0.885012i | \(-0.654150\pi\) |
0.442335 | + | 0.896850i | \(0.354150\pi\) | |||||||
\(504\) | 21.0649 | − | 2.86971i | 0.938305 | − | 0.127827i | ||||
\(505\) | −21.2651 | + | 19.7323i | −0.946284 | + | 0.878077i | ||||
\(506\) | 1.65495 | − | 7.78591i | 0.0735713 | − | 0.346126i | ||||
\(507\) | 1.89907 | − | 12.2948i | 0.0843405 | − | 0.546030i | ||||
\(508\) | 2.99937 | + | 57.2313i | 0.133075 | + | 2.53923i | ||||
\(509\) | 0.419434 | − | 0.186744i | 0.0185911 | − | 0.00827729i | −0.397420 | − | 0.917637i | \(-0.630094\pi\) |
0.416011 | + | 0.909360i | \(0.363428\pi\) | |||||||
\(510\) | −27.1406 | − | 32.2552i | −1.20180 | − | 1.42829i | ||||
\(511\) | 5.02071 | − | 1.76009i | 0.222103 | − | 0.0778618i | ||||
\(512\) | −2.90280 | + | 0.459759i | −0.128287 | + | 0.0203187i | ||||
\(513\) | −0.865546 | + | 21.1655i | −0.0382148 | + | 0.934481i | ||||
\(514\) | 22.3775 | − | 50.2608i | 0.987031 | − | 2.21691i | ||||
\(515\) | 7.38492 | − | 1.28342i | 0.325418 | − | 0.0565541i | ||||
\(516\) | 22.9754 | − | 13.3824i | 1.01144 | − | 0.589129i | ||||
\(517\) | −1.12580 | + | 2.20950i | −0.0495124 | + | 0.0971736i | ||||
\(518\) | −28.1000 | − | 52.1460i | −1.23464 | − | 2.29117i | ||||
\(519\) | 6.16629 | + | 13.7082i | 0.270670 | + | 0.601723i | ||||
\(520\) | −1.29445 | + | 14.3874i | −0.0567652 | + | 0.630929i | ||||
\(521\) | −8.84194 | − | 41.5981i | −0.387373 | − | 1.82244i | −0.549279 | − | 0.835639i | \(-0.685098\pi\) |
0.161907 | − | 0.986806i | \(-0.448236\pi\) | |||||||
\(522\) | 31.2972 | + | 11.7396i | 1.36984 | + | 0.513830i | ||||
\(523\) | 24.2370 | + | 19.6267i | 1.05981 | + | 0.858217i | 0.990242 | − | 0.139360i | \(-0.0445046\pi\) |
0.0695681 | + | 0.997577i | \(0.477838\pi\) | |||||||
\(524\) | −24.0107 | −1.04891 | ||||||||
\(525\) | 1.09686 | − | 22.8866i | 0.0478710 | − | 0.998854i | ||||
\(526\) | 65.1748 | 2.84176 | ||||||||
\(527\) | −15.9318 | − | 12.9013i | −0.693999 | − | 0.561989i | ||||
\(528\) | −0.296020 | − | 0.149405i | −0.0128826 | − | 0.00650200i | ||||
\(529\) | 0.0899697 | + | 0.423274i | 0.00391173 | + | 0.0184032i | ||||
\(530\) | 8.01648 | + | 13.4164i | 0.348214 | + | 0.582771i | ||||
\(531\) | −31.2192 | + | 18.3446i | −1.35480 | + | 0.796089i | ||||
\(532\) | 34.2540 | + | 1.00530i | 1.48510 | + | 0.0435854i | ||||
\(533\) | −4.60621 | + | 9.04020i | −0.199517 | + | 0.391575i | ||||
\(534\) | 5.42830 | + | 9.31949i | 0.234906 | + | 0.403294i | ||||
\(535\) | −14.3276 | − | 27.1072i | −0.619438 | − | 1.17195i | ||||
\(536\) | 3.15202 | − | 7.07956i | 0.136147 | − | 0.305790i | ||||
\(537\) | 2.67167 | − | 10.1257i | 0.115291 | − | 0.436958i | ||||
\(538\) | −33.0250 | + | 5.23064i | −1.42381 | + | 0.225509i | ||||
\(539\) | −2.36924 | + | 4.57814i | −0.102051 | + | 0.197194i | ||||
\(540\) | 20.9181 | + | 30.4166i | 0.900174 | + | 1.30892i | ||||
\(541\) | −8.77229 | + | 3.90567i | −0.377150 | + | 0.167918i | −0.586552 | − | 0.809912i | \(-0.699515\pi\) |
0.209402 | + | 0.977830i | \(0.432848\pi\) | |||||||
\(542\) | −1.19959 | − | 22.8896i | −0.0515269 | − | 0.983192i | ||||
\(543\) | 36.9180 | + | 5.70240i | 1.58430 | + | 0.244714i | ||||
\(544\) | −5.91605 | + | 27.8328i | −0.253649 | + | 1.19332i | ||||
\(545\) | −21.5365 | + | 2.59053i | −0.922522 | + | 0.110966i | ||||
\(546\) | 21.4343 | − | 13.1547i | 0.917302 | − | 0.562968i | ||||
\(547\) | −36.4398 | + | 18.5670i | −1.55805 | + | 0.793868i | −0.999369 | − | 0.0355131i | \(-0.988693\pi\) |
−0.558684 | + | 0.829381i | \(0.688693\pi\) | |||||||
\(548\) | −37.4218 | + | 46.2120i | −1.59858 | + | 1.97408i | ||||
\(549\) | −30.6982 | + | 28.0695i | −1.31017 | + | 1.19798i | ||||
\(550\) | 5.07485 | − | 6.66598i | 0.216392 | − | 0.284238i | ||||
\(551\) | 17.2888 | + | 9.98169i | 0.736527 | + | 0.425234i | ||||
\(552\) | 22.0126 | + | 1.06912i | 0.936917 | + | 0.0455047i | ||||
\(553\) | −2.45583 | + | 2.08409i | −0.104433 | + | 0.0886246i | ||||
\(554\) | −8.15194 | + | 25.0891i | −0.346343 | + | 1.06593i | ||||
\(555\) | 21.8159 | − | 31.2472i | 0.926034 | − | 1.32637i | ||||
\(556\) | 9.41619 | − | 10.4577i | 0.399335 | − | 0.443507i | ||||
\(557\) | −16.0778 | − | 4.30803i | −0.681237 | − | 0.182537i | −0.0984259 | − | 0.995144i | \(-0.531381\pi\) |
−0.582811 | + | 0.812607i | \(0.698047\pi\) | |||||||
\(558\) | 20.8430 | + | 20.5262i | 0.882356 | + | 0.868943i | ||||
\(559\) | 6.84987 | − | 9.42803i | 0.289718 | − | 0.398763i | ||||
\(560\) | −1.25710 | + | 0.886055i | −0.0531220 | + | 0.0374427i | ||||
\(561\) | −4.51860 | + | 4.10001i | −0.190776 | + | 0.173103i | ||||
\(562\) | −44.7547 | − | 17.1797i | −1.88786 | − | 0.724683i | ||||
\(563\) | 7.85409 | − | 6.36012i | 0.331010 | − | 0.268047i | −0.449378 | − | 0.893342i | \(-0.648354\pi\) |
0.780389 | + | 0.625295i | \(0.215021\pi\) | |||||||
\(564\) | −17.6456 | − | 5.65879i | −0.743014 | − | 0.238278i | ||||
\(565\) | −15.0444 | − | 37.5018i | −0.632922 | − | 1.57771i | ||||
\(566\) | −21.8582 | + | 30.0852i | −0.918769 | + | 1.26458i | ||||
\(567\) | 7.67505 | − | 22.5409i | 0.322322 | − | 0.946630i | ||||
\(568\) | −24.8185 | + | 24.8185i | −1.04136 | + | 1.04136i | ||||
\(569\) | 16.7021 | + | 3.55013i | 0.700187 | + | 0.148829i | 0.544232 | − | 0.838935i | \(-0.316821\pi\) |
0.155955 | + | 0.987764i | \(0.450155\pi\) | |||||||
\(570\) | 15.2272 | + | 32.5387i | 0.637798 | + | 1.36290i | ||||
\(571\) | 44.1786 | − | 9.39045i | 1.84882 | − | 0.392978i | 0.856443 | − | 0.516241i | \(-0.172669\pi\) |
0.992374 | + | 0.123263i | \(0.0393357\pi\) | |||||||
\(572\) | 5.63546 | + | 0.295342i | 0.235630 | + | 0.0123489i | ||||
\(573\) | −25.5689 | − | 1.24184i | −1.06816 | − | 0.0518787i | ||||
\(574\) | 24.6425 | − | 5.83385i | 1.02856 | − | 0.243500i | ||||
\(575\) | 5.45708 | − | 23.1171i | 0.227576 | − | 0.964051i | ||||
\(576\) | 11.7805 | − | 37.2244i | 0.490855 | − | 1.55102i | ||||
\(577\) | 1.01267 | + | 2.63810i | 0.0421581 | + | 0.109826i | 0.953043 | − | 0.302835i | \(-0.0979330\pi\) |
−0.910885 | + | 0.412660i | \(0.864600\pi\) | |||||||
\(578\) | 11.2257 | + | 7.29006i | 0.466928 | + | 0.303226i | ||||
\(579\) | 4.10731 | − | 4.59690i | 0.170694 | − | 0.191041i | ||||
\(580\) | 34.5405 | − | 4.15472i | 1.43422 | − | 0.172515i | ||||
\(581\) | −0.378043 | + | 0.691051i | −0.0156839 | + | 0.0286696i | ||||
\(582\) | 29.2470 | − | 36.4012i | 1.21233 | − | 1.50888i | ||||
\(583\) | 1.89718 | − | 1.23205i | 0.0785734 | − | 0.0510261i | ||||
\(584\) | −0.562992 | + | 5.35651i | −0.0232968 | + | 0.221654i | ||||
\(585\) | 13.7656 | + | 8.50255i | 0.569137 | + | 0.351537i | ||||
\(586\) | 4.73211 | + | 45.0230i | 0.195482 | + | 1.85988i | ||||
\(587\) | 1.43032 | − | 0.226540i | 0.0590354 | − | 0.00935029i | −0.126847 | − | 0.991922i | \(-0.540486\pi\) |
0.185882 | + | 0.982572i | \(0.440486\pi\) | |||||||
\(588\) | −36.6059 | − | 11.9949i | −1.50960 | − | 0.494660i | ||||
\(589\) | 10.2692 | + | 14.1344i | 0.423135 | + | 0.582396i | ||||
\(590\) | −32.6704 | + | 51.9982i | −1.34502 | + | 2.14073i | ||||
\(591\) | −18.6876 | + | 0.0715645i | −0.768704 | + | 0.00294377i | ||||
\(592\) | −2.55450 | + | 0.133876i | −0.104989 | + | 0.00550227i | ||||
\(593\) | −30.3558 | + | 8.13382i | −1.24656 | + | 0.334016i | −0.821009 | − | 0.570916i | \(-0.806588\pi\) |
−0.425556 | + | 0.904932i | \(0.639922\pi\) | |||||||
\(594\) | 6.98451 | − | 5.19818i | 0.286578 | − | 0.213284i | ||||
\(595\) | 6.93160 | + | 27.4381i | 0.284168 | + | 1.12485i | ||||
\(596\) | −25.5987 | − | 8.31753i | −1.04856 | − | 0.340699i | ||||
\(597\) | −2.34494 | − | 41.6889i | −0.0959721 | − | 1.70621i | ||||
\(598\) | 24.3390 | − | 9.34287i | 0.995296 | − | 0.382058i | ||||
\(599\) | −8.05839 | − | 13.9575i | −0.329257 | − | 0.570289i | 0.653108 | − | 0.757265i | \(-0.273465\pi\) |
−0.982365 | + | 0.186976i | \(0.940131\pi\) | |||||||
\(600\) | 20.4689 | + | 10.9123i | 0.835639 | + | 0.445493i | ||||
\(601\) | 36.6169 | 1.49363 | 0.746817 | − | 0.665030i | \(-0.231581\pi\) | ||||
0.746817 | + | 0.665030i | \(0.231581\pi\) | |||||||
\(602\) | −29.0040 | + | 2.19046i | −1.18211 | + | 0.0892766i | ||||
\(603\) | −5.51395 | − | 6.70352i | −0.224545 | − | 0.272989i | ||||
\(604\) | −29.5939 | + | 26.6465i | −1.20416 | + | 1.08423i | ||||
\(605\) | 19.1221 | + | 13.4597i | 0.777423 | + | 0.547215i | ||||
\(606\) | −29.8942 | + | 41.4789i | −1.21437 | + | 1.68497i | ||||
\(607\) | −25.1730 | + | 6.74508i | −1.02174 | + | 0.273774i | −0.730527 | − | 0.682884i | \(-0.760725\pi\) |
−0.291213 | + | 0.956658i | \(0.594059\pi\) | |||||||
\(608\) | 11.0092 | − | 21.6068i | 0.446483 | − | 0.876272i | ||||
\(609\) | −15.4579 | − | 16.2675i | −0.626388 | − | 0.659191i | ||||
\(610\) | −24.2911 | + | 66.2312i | −0.983517 | + | 2.68162i | ||||
\(611\) | −8.07743 | + | 0.848972i | −0.326778 | + | 0.0343457i | ||||
\(612\) | −35.6524 | − | 28.4214i | −1.44116 | − | 1.14887i | ||||
\(613\) | −5.99839 | − | 7.40739i | −0.242273 | − | 0.299182i | 0.641477 | − | 0.767143i | \(-0.278322\pi\) |
−0.883749 | + | 0.467961i | \(0.844989\pi\) | |||||||
\(614\) | −2.93138 | − | 27.8903i | −0.118301 | − | 1.12556i | ||||
\(615\) | 10.4894 | + | 12.4662i | 0.422974 | + | 0.502684i | ||||
\(616\) | −3.16376 | − | 4.15018i | −0.127472 | − | 0.167216i | ||||
\(617\) | 29.1696 | + | 14.8626i | 1.17432 | + | 0.598347i | 0.928632 | − | 0.371001i | \(-0.120986\pi\) |
0.245690 | + | 0.969348i | \(0.420986\pi\) | |||||||
\(618\) | 12.3151 | − | 4.78152i | 0.495386 | − | 0.192341i | ||||
\(619\) | 33.6519 | + | 30.3003i | 1.35258 | + | 1.21787i | 0.953660 | + | 0.300886i | \(0.0972825\pi\) |
0.398923 | + | 0.916985i | \(0.369384\pi\) | |||||||
\(620\) | 29.0938 | + | 8.97327i | 1.16843 | + | 0.360375i | ||||
\(621\) | 12.0958 | − | 21.5176i | 0.485386 | − | 0.863473i | ||||
\(622\) | 19.3517 | − | 9.86017i | 0.775931 | − | 0.395357i | ||||
\(623\) | −0.545270 | − | 7.21994i | −0.0218458 | − | 0.289261i | ||||
\(624\) | −0.117657 | − | 1.07964i | −0.00471004 | − | 0.0432202i | ||||
\(625\) | 15.5849 | − | 19.5477i | 0.623394 | − | 0.781908i | ||||
\(626\) | −54.0149 | + | 31.1855i | −2.15887 | + | 1.24642i | ||||
\(627\) | 4.62402 | − | 2.37841i | 0.184666 | − | 0.0949844i | ||||
\(628\) | −44.5793 | − | 2.33630i | −1.77891 | − | 0.0932287i | ||||
\(629\) | −14.5453 | + | 44.7657i | −0.579958 | + | 1.78493i | ||||
\(630\) | −6.05033 | − | 39.9274i | −0.241051 | − | 1.59075i | ||||
\(631\) | −2.47115 | − | 7.60542i | −0.0983750 | − | 0.302767i | 0.889744 | − | 0.456461i | \(-0.150883\pi\) |
−0.988119 | + | 0.153694i | \(0.950883\pi\) | |||||||
\(632\) | −0.843944 | − | 3.14964i | −0.0335703 | − | 0.125286i | ||||
\(633\) | −2.47691 | − | 15.2601i | −0.0984483 | − | 0.606536i | ||||
\(634\) | −44.5205 | − | 4.67930i | −1.76814 | − | 0.185839i | ||||
\(635\) | 40.2429 | − | 2.71448i | 1.59699 | − | 0.107721i | ||||
\(636\) | 11.3592 | + | 12.5190i | 0.450423 | + | 0.496410i | ||||
\(637\) | −16.8019 | + | 1.65865i | −0.665715 | + | 0.0657183i | ||||
\(638\) | −1.28358 | − | 8.10419i | −0.0508173 | − | 0.320848i | ||||
\(639\) | 12.4342 | + | 37.2942i | 0.491890 | + | 1.47534i | ||||
\(640\) | −6.78283 | − | 39.0291i | −0.268115 | − | 1.54276i | ||||
\(641\) | −17.7866 | − | 1.86945i | −0.702529 | − | 0.0738388i | −0.253473 | − | 0.967342i | \(-0.581573\pi\) |
−0.449056 | + | 0.893504i | \(0.648240\pi\) | |||||||
\(642\) | −34.1682 | − | 41.8654i | −1.34851 | − | 1.65229i | ||||
\(643\) | −10.5759 | + | 10.5759i | −0.417071 | + | 0.417071i | −0.884193 | − | 0.467122i | \(-0.845291\pi\) |
0.467122 | + | 0.884193i | \(0.345291\pi\) | |||||||
\(644\) | −35.0331 | − | 19.1650i | −1.38050 | − | 0.755207i | ||||
\(645\) | −9.65982 | − | 16.0270i | −0.380355 | − | 0.631062i | ||||
\(646\) | −29.6907 | − | 32.9749i | −1.16817 | − | 1.29738i | ||||
\(647\) | 12.9792 | − | 19.9862i | 0.510264 | − | 0.785738i | −0.485829 | − | 0.874054i | \(-0.661482\pi\) |
0.996092 | + | 0.0883166i | \(0.0281487\pi\) | |||||||
\(648\) | 17.3046 | + | 16.7824i | 0.679788 | + | 0.659275i | ||||
\(649\) | 7.69763 | + | 4.44423i | 0.302158 | + | 0.174451i | ||||
\(650\) | 27.3632 | + | 2.04891i | 1.07327 | + | 0.0803648i | ||||
\(651\) | −6.56800 | − | 18.5081i | −0.257420 | − | 0.725389i | ||||
\(652\) | −35.5391 | − | 5.62884i | −1.39182 | − | 0.220442i | ||||
\(653\) | 0.866421 | − | 16.5323i | 0.0339057 | − | 0.646959i | −0.927834 | − | 0.372993i | \(-0.878331\pi\) |
0.961740 | − | 0.273965i | \(-0.0883353\pi\) | |||||||
\(654\) | −36.3143 | + | 11.9532i | −1.42000 | + | 0.467406i | ||||
\(655\) | 0.253309 | + | 16.8967i | 0.00989762 | + | 0.660209i | ||||
\(656\) | 0.227367 | − | 1.06968i | 0.00887718 | − | 0.0417639i | ||||
\(657\) | 5.08441 | + | 3.24676i | 0.198362 | + | 0.126668i | ||||
\(658\) | 14.6603 | + | 14.0004i | 0.571519 | + | 0.545794i | ||||
\(659\) | 17.8196 | + | 12.9467i | 0.694154 | + | 0.504332i | 0.878023 | − | 0.478618i | \(-0.158862\pi\) |
−0.183869 | + | 0.982951i | \(0.558862\pi\) | |||||||
\(660\) | 3.96121 | − | 8.14993i | 0.154190 | − | 0.317236i | ||||
\(661\) | −15.5311 | − | 6.91487i | −0.604088 | − | 0.268957i | 0.0818182 | − | 0.996647i | \(-0.473927\pi\) |
−0.685906 | + | 0.727690i | \(0.740594\pi\) | |||||||
\(662\) | 22.1657 | + | 27.3724i | 0.861494 | + | 1.06386i | ||||
\(663\) | −19.3226 | − | 5.09825i | −0.750428 | − | 0.198000i | ||||
\(664\) | −0.468718 | − | 0.645135i | −0.0181898 | − | 0.0250361i | ||||
\(665\) | 0.346072 | − | 24.1157i | 0.0134201 | − | 0.935166i | ||||
\(666\) | 26.8483 | − | 61.5671i | 1.04035 | − | 2.38568i | ||||
\(667\) | −12.6699 | − | 19.5099i | −0.490579 | − | 0.755426i | ||||
\(668\) | −1.48985 | + | 5.56019i | −0.0576440 | + | 0.215130i | ||||
\(669\) | −1.33273 | − | 0.960507i | −0.0515262 | − | 0.0371353i | ||||
\(670\) | −13.5362 | − | 5.78514i | −0.522947 | − | 0.223500i | ||||
\(671\) | 9.71097 | + | 3.15529i | 0.374888 | + | 0.121808i | ||||
\(672\) | −18.7506 | + | 19.7855i | −0.723320 | + | 0.763242i | ||||
\(673\) | 4.48968 | − | 28.3467i | 0.173065 | − | 1.09269i | −0.736291 | − | 0.676665i | \(-0.763424\pi\) |
0.909355 | − | 0.416021i | \(-0.136576\pi\) | |||||||
\(674\) | 33.0348 | − | 57.2179i | 1.27245 | − | 2.20395i | ||||
\(675\) | 21.1839 | − | 15.0413i | 0.815370 | − | 0.578940i | ||||
\(676\) | −11.4101 | − | 19.7629i | −0.438850 | − | 0.760110i | ||||
\(677\) | −5.85535 | − | 4.74157i | −0.225039 | − | 0.182233i | 0.510170 | − | 0.860074i | \(-0.329583\pi\) |
−0.735209 | + | 0.677841i | \(0.762916\pi\) | |||||||
\(678\) | −39.0154 | − | 59.5777i | −1.49838 | − | 2.28807i | ||||
\(679\) | −28.3370 | + | 13.4063i | −1.08748 | + | 0.514487i | ||||
\(680\) | −28.1098 | − | 5.53587i | −1.07796 | − | 0.212291i | ||||
\(681\) | 1.16287 | − | 11.4869i | 0.0445612 | − | 0.440181i | ||||
\(682\) | 1.85853 | − | 6.93613i | 0.0711668 | − | 0.265598i | ||||
\(683\) | −21.6965 | + | 1.13707i | −0.830195 | + | 0.0435087i | −0.462698 | − | 0.886516i | \(-0.653119\pi\) |
−0.367497 | + | 0.930025i | \(0.619785\pi\) | |||||||
\(684\) | 23.0797 | + | 31.2602i | 0.882476 | + | 1.19526i | ||||
\(685\) | 32.9149 | + | 25.8467i | 1.25761 | + | 0.987553i | ||||
\(686\) | 30.2908 | + | 29.2956i | 1.15651 | + | 1.11851i | ||||
\(687\) | 3.31505 | + | 12.1851i | 0.126477 | + | 0.464890i | ||||
\(688\) | −0.450136 | + | 1.17264i | −0.0171613 | + | 0.0447066i | ||||
\(689\) | 6.76853 | + | 3.01354i | 0.257860 | + | 0.114807i | ||||
\(690\) | 1.40382 | − | 41.8395i | 0.0534424 | − | 1.59280i | ||||
\(691\) | −1.22673 | + | 0.546177i | −0.0466671 | + | 0.0207775i | −0.429938 | − | 0.902859i | \(-0.641464\pi\) |
0.383270 | + | 0.923636i | \(0.374798\pi\) | |||||||
\(692\) | 24.5671 | + | 12.5176i | 0.933902 | + | 0.475847i | ||||
\(693\) | −5.74235 | + | 1.09103i | −0.218134 | + | 0.0414446i | ||||
\(694\) | −46.2251 | + | 15.0194i | −1.75468 | + | 0.570130i | ||||
\(695\) | −7.45860 | − | 6.51598i | −0.282921 | − | 0.247165i | ||||
\(696\) | 21.5789 | − | 7.10288i | 0.817946 | − | 0.269234i | ||||
\(697\) | −16.8763 | − | 10.9596i | −0.639235 | − | 0.415124i | ||||
\(698\) | −8.35666 | + | 10.3196i | −0.316304 | + | 0.390603i | ||||
\(699\) | 3.78514 | − | 0.412496i | 0.143167 | − | 0.0156020i | ||||
\(700\) | −24.7263 | − | 33.9871i | −0.934568 | − | 1.28459i | ||||
\(701\) | − | 41.6323i | − | 1.57243i | −0.617954 | − | 0.786214i | \(-0.712038\pi\) | ||
0.617954 | − | 0.786214i | \(-0.287962\pi\) | |||||||
\(702\) | 26.7379 | + | 9.91282i | 1.00916 | + | 0.374135i | ||||
\(703\) | 21.8476 | − | 33.6424i | 0.823999 | − | 1.26885i | ||||
\(704\) | −9.37470 | + | 1.99265i | −0.353322 | + | 0.0751009i | ||||
\(705\) | −3.79601 | + | 12.4772i | −0.142966 | + | 0.469917i | ||||
\(706\) | −12.4094 | − | 38.1921i | −0.467032 | − | 1.43738i | ||||
\(707\) | 30.2169 | − | 16.2830i | 1.13642 | − | 0.612386i | ||||
\(708\) | −23.5656 | + | 62.1002i | −0.885649 | + | 2.33387i | ||||
\(709\) | 15.8751 | + | 35.6560i | 0.596201 | + | 1.33909i | 0.919611 | + | 0.392830i | \(0.128504\pi\) |
−0.323410 | + | 0.946259i | \(0.604829\pi\) | |||||||
\(710\) | 47.8452 | + | 46.4319i | 1.79560 | + | 1.74256i | ||||
\(711\) | −3.57812 | − | 0.731955i | −0.134190 | − | 0.0274505i | ||||
\(712\) | 6.84311 | + | 2.62682i | 0.256456 | + | 0.0984443i | ||||
\(713\) | −3.18478 | − | 20.1079i | −0.119271 | − | 0.753048i | ||||
\(714\) | 21.5032 | + | 45.0048i | 0.804736 | + | 1.68426i | ||||
\(715\) | 0.148383 | − | 3.96887i | 0.00554922 | − | 0.148427i | ||||
\(716\) | −7.81327 | − | 17.5489i | −0.291996 | − | 0.655833i | ||||
\(717\) | −3.88868 | − | 23.9580i | −0.145225 | − | 0.894728i | ||||
\(718\) | −30.6496 | − | 8.21254i | −1.14383 | − | 0.306489i | ||||
\(719\) | 9.38272 | + | 1.99436i | 0.349916 | + | 0.0743770i | 0.379517 | − | 0.925185i | \(-0.376090\pi\) |
−0.0296006 | + | 0.999562i | \(0.509424\pi\) | |||||||
\(720\) | −1.67033 | − | 0.501196i | −0.0622496 | − | 0.0186785i | ||||
\(721\) | −8.83934 | − | 0.723785i | −0.329194 | − | 0.0269552i | ||||
\(722\) | −2.45892 | − | 4.82589i | −0.0915114 | − | 0.179601i | ||||
\(723\) | 11.0796 | + | 7.13498i | 0.412054 | + | 0.265353i | ||||
\(724\) | 59.3428 | − | 34.2616i | 2.20546 | − | 1.27332i | ||||
\(725\) | −3.28814 | − | 24.2629i | −0.122118 | − | 0.901100i | ||||
\(726\) | 37.7146 | + | 16.6189i | 1.39972 | + | 0.616784i | ||||
\(727\) | −32.3214 | − | 5.11921i | −1.19874 | − | 0.189861i | −0.475030 | − | 0.879970i | \(-0.657563\pi\) |
−0.723706 | + | 0.690109i | \(0.757563\pi\) | |||||||
\(728\) | 5.75636 | − | 16.0937i | 0.213345 | − | 0.596471i | ||||
\(729\) | 25.4801 | − | 8.93122i | 0.943706 | − | 0.330786i | ||||
\(730\) | 10.1898 | + | 0.916785i | 0.377142 | + | 0.0339317i | ||||
\(731\) | 17.1761 | + | 15.4654i | 0.635281 | + | 0.572010i | ||||
\(732\) | −11.6476 | + | 75.4079i | −0.430507 | + | 2.78716i | ||||
\(733\) | 5.73989 | − | 3.72753i | 0.212008 | − | 0.137679i | −0.434267 | − | 0.900784i | \(-0.642993\pi\) |
0.646275 | + | 0.763105i | \(0.276326\pi\) | |||||||
\(734\) | −40.8472 | − | 29.6772i | −1.50770 | − | 1.09541i | ||||
\(735\) | −8.05478 | + | 25.8867i | −0.297105 | + | 0.954845i | ||||
\(736\) | −22.8611 | + | 16.6095i | −0.842671 | + | 0.612236i | ||||
\(737\) | −0.763559 | + | 1.98914i | −0.0281261 | + | 0.0732709i | ||||
\(738\) | 22.4530 | + | 17.8991i | 0.826505 | + | 0.658874i | ||||
\(739\) | −5.30664 | + | 11.9189i | −0.195208 | + | 0.438444i | −0.984456 | − | 0.175630i | \(-0.943804\pi\) |
0.789248 | + | 0.614074i | \(0.210470\pi\) | |||||||
\(740\) | −4.70459 | − | 69.7468i | −0.172944 | − | 2.56394i | ||||
\(741\) | 14.7817 | + | 8.45888i | 0.543018 | + | 0.310745i | ||||
\(742\) | −5.19607 | − | 17.7474i | −0.190754 | − | 0.651527i | ||||
\(743\) | 16.3925 | + | 16.3925i | 0.601382 | + | 0.601382i | 0.940679 | − | 0.339297i | \(-0.110189\pi\) |
−0.339297 | + | 0.940679i | \(0.610189\pi\) | |||||||
\(744\) | 19.7805 | + | 2.00246i | 0.725187 | + | 0.0734136i | ||||
\(745\) | −5.58311 | + | 18.1020i | −0.204549 | + | 0.663205i | ||||
\(746\) | 6.93247 | + | 32.6147i | 0.253816 | + | 1.19411i | ||||
\(747\) | −0.881073 | + | 0.146474i | −0.0322368 | + | 0.00535921i | ||||
\(748\) | −1.75083 | + | 11.0543i | −0.0640168 | + | 0.404186i | ||||
\(749\) | 8.35749 | + | 35.3025i | 0.305376 | + | 1.28993i | ||||
\(750\) | 20.1432 | − | 39.1878i | 0.735525 | − | 1.43094i | ||||
\(751\) | 8.19730 | − | 14.1981i | 0.299124 | − | 0.518097i | −0.676812 | − | 0.736156i | \(-0.736639\pi\) |
0.975936 | + | 0.218058i | \(0.0699723\pi\) | |||||||
\(752\) | 0.817262 | − | 0.313718i | 0.0298025 | − | 0.0114401i | ||||
\(753\) | 47.1265 | + | 23.7853i | 1.71739 | + | 0.866783i | ||||
\(754\) | 19.9714 | − | 17.9823i | 0.727316 | − | 0.654878i | ||||
\(755\) | 19.0638 | + | 20.5446i | 0.693801 | + | 0.747694i | ||||
\(756\) | −14.9227 | − | 41.0505i | −0.542732 | − | 1.49299i | ||||
\(757\) | −1.32150 | − | 1.32150i | −0.0480306 | − | 0.0480306i | 0.682684 | − | 0.730714i | \(-0.260813\pi\) |
−0.730714 | + | 0.682684i | \(0.760813\pi\) | |||||||
\(758\) | 36.7427 | + | 56.5788i | 1.33455 | + | 2.05503i | ||||
\(759\) | −6.05922 | + | 0.0232039i | −0.219936 | + | 0.000842249i | ||||
\(760\) | 21.9187 | + | 10.7574i | 0.795074 | + | 0.390210i | ||||
\(761\) | −9.21402 | + | 0.968432i | −0.334008 | + | 0.0351056i | −0.270048 | − | 0.962847i | \(-0.587040\pi\) |
−0.0639598 | + | 0.997952i | \(0.520373\pi\) | |||||||
\(762\) | 68.5948 | − | 18.6618i | 2.48493 | − | 0.676044i | ||||
\(763\) | 25.4357 | + | 3.43048i | 0.920834 | + | 0.124192i | ||||
\(764\) | −37.9892 | + | 27.6008i | −1.37440 | + | 0.998561i | ||||
\(765\) | −19.6245 | + | 25.3890i | −0.709524 | + | 0.917941i | ||||
\(766\) | −3.09752 | + | 29.4709i | −0.111918 | + | 1.06483i | ||||
\(767\) | 1.52361 | + | 29.0721i | 0.0550142 | + | 1.04973i | ||||
\(768\) | −8.95244 | − | 23.0576i | −0.323043 | − | 0.832019i | ||||
\(769\) | 52.3410 | − | 17.0066i | 1.88747 | − | 0.613275i | 0.905458 | − | 0.424437i | \(-0.139528\pi\) |
0.982008 | − | 0.188838i | \(-0.0604721\pi\) | |||||||
\(770\) | −7.79247 | + | 6.12719i | −0.280821 | + | 0.220809i | ||||
\(771\) | −40.9985 | − | 8.55054i | −1.47653 | − | 0.307940i | ||||
\(772\) | 0.591806 | − | 11.2923i | 0.0212996 | − | 0.406420i | ||||
\(773\) | −0.669162 | − | 1.74323i | −0.0240681 | − | 0.0626995i | 0.921020 | − | 0.389516i | \(-0.127358\pi\) |
−0.945088 | + | 0.326816i | \(0.894024\pi\) | |||||||
\(774\) | −22.2557 | − | 24.3400i | −0.799965 | − | 0.874882i | ||||
\(775\) | 6.00769 | − | 20.5684i | 0.215803 | − | 0.738839i | ||||
\(776\) | − | 31.7356i | − | 1.13924i | ||||||
\(777\) | −34.2683 | + | 29.3076i | −1.22937 | + | 1.05140i | ||||
\(778\) | −3.50521 | − | 6.87935i | −0.125668 | − | 0.246637i | ||||
\(779\) | 11.4750 | + | 12.7443i | 0.411135 | + | 0.456611i | ||||
\(780\) | 29.4529 | − | 3.65723i | 1.05458 | − | 0.130950i | ||||
\(781\) | 6.45713 | − | 7.17137i | 0.231054 | − | 0.256612i | ||||
\(782\) | 13.3824 | + | 49.9439i | 0.478555 | + | 1.78599i | ||||
\(783\) | 3.69152 | − | 25.1760i | 0.131924 | − | 0.899717i | ||||
\(784\) | 1.70298 | − | 0.641394i | 0.0608208 | − | 0.0229069i | ||||
\(785\) | −1.17379 | + | 31.3958i | −0.0418943 | + | 1.12056i | ||||
\(786\) | 6.30380 | + | 29.1085i | 0.224849 | + | 1.03827i | ||||
\(787\) | 9.72463 | − | 7.87485i | 0.346645 | − | 0.280708i | −0.440147 | − | 0.897926i | \(-0.645074\pi\) |
0.786792 | + | 0.617218i | \(0.211740\pi\) | |||||||
\(788\) | −26.6402 | + | 21.5728i | −0.949017 | + | 0.768499i | ||||
\(789\) | −10.5009 | − | 48.4889i | −0.373841 | − | 1.72625i | ||||
\(790\) | −5.95817 | + | 1.69261i | −0.211982 | + | 0.0602203i | ||||
\(791\) | 6.09065 | + | 47.4206i | 0.216559 | + | 1.68608i | ||||
\(792\) | 1.48769 | − | 5.72723i | 0.0528627 | − | 0.203508i | ||||
\(793\) | 8.65563 | + | 32.3032i | 0.307370 | + | 1.14712i | ||||
\(794\) | 10.1178 | − | 11.2370i | 0.359067 | − | 0.398785i | ||||
\(795\) | 8.68995 | − | 8.12574i | 0.308201 | − | 0.288190i | ||||
\(796\) | −51.2503 | − | 56.9192i | −1.81652 | − | 2.01745i | ||||
\(797\) | 8.18991 | + | 16.0736i | 0.290102 | + | 0.569357i | 0.989356 | − | 0.145517i | \(-0.0464844\pi\) |
−0.699254 | + | 0.714873i | \(0.746484\pi\) | |||||||
\(798\) | −7.77436 | − | 41.7905i | −0.275209 | − | 1.47937i | ||||
\(799\) | − | 16.1082i | − | 0.569867i | ||||||
\(800\) | −29.2231 | + | 5.53116i | −1.03319 | + | 0.195556i | ||||
\(801\) | 6.05893 | − | 5.54010i | 0.214082 | − | 0.195750i | ||||
\(802\) | −22.5662 | − | 58.7869i | −0.796840 | − | 2.07584i | ||||
\(803\) | 0.0775007 | − | 1.47880i | 0.00273494 | − | 0.0521857i | ||||
\(804\) | −15.5865 | − | 3.25068i | −0.549693 | − | 0.114643i | ||||
\(805\) | −13.1171 | + | 24.8555i | −0.462317 | + | 0.876041i | ||||
\(806\) | 22.3679 | − | 7.26778i | 0.787877 | − | 0.255997i | ||||
\(807\) | 9.21244 | + | 23.7272i | 0.324293 | + | 0.835238i | ||||
\(808\) | 1.81862 | + | 34.7014i | 0.0639789 | + | 1.22079i | ||||
\(809\) | −4.84048 | + | 46.0541i | −0.170182 | + | 1.61917i | 0.492527 | + | 0.870297i | \(0.336073\pi\) |
−0.662709 | + | 0.748877i | \(0.730593\pi\) | |||||||
\(810\) | 31.3826 | − | 33.3450i | 1.10267 | − | 1.17162i | ||||
\(811\) | 12.0286 | − | 8.73931i | 0.422382 | − | 0.306879i | −0.356213 | − | 0.934405i | \(-0.615932\pi\) |
0.778596 | + | 0.627526i | \(0.215932\pi\) | |||||||
\(812\) | −40.7942 | − | 5.50186i | −1.43159 | − | 0.193077i | ||||
\(813\) | −16.8362 | + | 4.58041i | −0.590470 | + | 0.160642i | ||||
\(814\) | −16.3970 | + | 1.72340i | −0.574716 | + | 0.0604051i | ||||
\(815\) | −3.58617 | + | 25.0688i | −0.125618 | + | 0.878121i | ||||
\(816\) | 2.15391 | − | 0.00824845i | 0.0754019 | − | 0.000288754i | ||||
\(817\) | −10.7279 | − | 16.5196i | −0.375323 | − | 0.577947i | ||||
\(818\) | 46.1677 | + | 46.1677i | 1.61422 | + | 1.61422i | ||||
\(819\) | −13.2403 | − | 13.8272i | −0.462654 | − | 0.483163i | ||||
\(820\) | 29.3220 | + | 5.77459i | 1.02397 | + | 0.201658i | ||||
\(821\) | −10.7731 | + | 9.70012i | −0.375983 | + | 0.338537i | −0.835359 | − | 0.549706i | \(-0.814740\pi\) |
0.459375 | + | 0.888242i | \(0.348073\pi\) | |||||||
\(822\) | 65.8482 | + | 33.2343i | 2.29672 | + | 1.15918i | ||||
\(823\) | −12.6978 | + | 4.87423i | −0.442618 | + | 0.169905i | −0.569462 | − | 0.822018i | \(-0.692848\pi\) |
0.126844 | + | 0.991923i | \(0.459515\pi\) | |||||||
\(824\) | 4.48925 | − | 7.77561i | 0.156391 | − | 0.270876i | ||||
\(825\) | −5.77702 | − | 2.70158i | −0.201130 | − | 0.0940570i | ||||
\(826\) | 52.8643 | − | 49.8498i | 1.83938 | − | 1.73450i | ||||
\(827\) | 0.580920 | − | 3.66778i | 0.0202006 | − | 0.127541i | −0.975527 | − | 0.219879i | \(-0.929434\pi\) |
0.995728 | + | 0.0923374i | \(0.0294338\pi\) | |||||||
\(828\) | −7.42556 | − | 44.6663i | −0.258056 | − | 1.55226i | ||||
\(829\) | −0.551517 | − | 2.59468i | −0.0191550 | − | 0.0901171i | 0.967532 | − | 0.252750i | \(-0.0813349\pi\) |
−0.986687 | + | 0.162632i | \(0.948002\pi\) | |||||||
\(830\) | −1.21198 | + | 0.908619i | −0.0420683 | + | 0.0315386i | ||||
\(831\) | 19.9792 | + | 2.02258i | 0.693072 | + | 0.0701625i | ||||
\(832\) | −22.1965 | − | 22.1965i | −0.769524 | − | 0.769524i | ||||
\(833\) | 0.211631 | − | 33.4844i | 0.00733259 | − | 1.16017i | ||||
\(834\) | −15.1502 | − | 8.66978i | −0.524608 | − | 0.300210i | ||||
\(835\) | 3.92851 | + | 0.989770i | 0.135952 | + | 0.0342524i | ||||
\(836\) | 3.87956 | − | 8.71364i | 0.134177 | − | 0.301367i | ||||
\(837\) | 11.9129 | − | 18.8140i | 0.411770 | − | 0.650307i | ||||
\(838\) | −19.2507 | + | 50.1498i | −0.665005 | + | 1.73240i | ||||
\(839\) | 16.2723 | − | 11.8225i | 0.561783 | − | 0.408159i | −0.270328 | − | 0.962768i | \(-0.587132\pi\) |
0.832111 | + | 0.554609i | \(0.187132\pi\) | |||||||
\(840\) | −20.2019 | − | 18.5784i | −0.697032 | − | 0.641016i | ||||
\(841\) | 4.06133 | + | 2.95073i | 0.140046 | + | 0.101749i | ||||
\(842\) | 36.9529 | − | 23.9975i | 1.27348 | − | 0.827007i | ||||
\(843\) | −5.57059 | + | 36.0647i | −0.191861 | + | 1.24213i | ||||
\(844\) | −21.0745 | − | 18.9756i | −0.725414 | − | 0.653166i | ||||
\(845\) | −13.7870 | + | 8.23795i | −0.474289 | + | 0.283394i | ||||
\(846\) | −2.22752 | + | 22.8776i | −0.0765838 | + | 0.786550i | ||||
\(847\) | −17.9027 | − | 21.0960i | −0.615143 | − | 0.724866i | ||||
\(848\) | −0.788742 | − | 0.124924i | −0.0270855 | − | 0.00428992i | ||||
\(849\) | 25.9046 | + | 11.4148i | 0.889045 | + | 0.391756i | ||||
\(850\) | −9.71404 | + | 53.5474i | −0.333189 | + | 1.83666i | ||||
\(851\) | −40.4814 | + | 23.3720i | −1.38769 | + | 0.801180i | ||||
\(852\) | 60.6284 | + | 39.0433i | 2.07709 | + | 1.33760i | ||||
\(853\) | 2.03716 | + | 3.99816i | 0.0697512 | + | 0.136894i | 0.923249 | − | 0.384202i | \(-0.125523\pi\) |
−0.853498 | + | 0.521096i | \(0.825523\pi\) | |||||||
\(854\) | 47.4952 | − | 68.6402i | 1.62525 | − | 2.34882i | ||||
\(855\) | 21.7548 | − | 16.5714i | 0.743999 | − | 0.566729i | ||||
\(856\) | −35.9240 | − | 7.63588i | −1.22786 | − | 0.260989i | ||||
\(857\) | −37.7756 | − | 10.1220i | −1.29039 | − | 0.345759i | −0.452582 | − | 0.891723i | \(-0.649497\pi\) |
−0.837809 | + | 0.545963i | \(0.816164\pi\) | |||||||
\(858\) | −1.12149 | − | 6.90948i | −0.0382872 | − | 0.235886i | ||||
\(859\) | −4.20544 | − | 9.44558i | −0.143488 | − | 0.322279i | 0.827478 | − | 0.561499i | \(-0.189775\pi\) |
−0.970965 | + | 0.239220i | \(0.923108\pi\) | |||||||
\(860\) | −32.2268 | − | 11.8196i | −1.09892 | − | 0.403043i | ||||
\(861\) | −8.31064 | − | 17.3937i | −0.283226 | − | 0.592774i | ||||
\(862\) | 6.25006 | + | 39.4613i | 0.212878 | + | 1.34406i | ||||
\(863\) | 47.2656 | + | 18.1436i | 1.60894 | + | 0.617614i | 0.986310 | − | 0.164903i | \(-0.0527312\pi\) |
0.622629 | + | 0.782517i | \(0.286065\pi\) | |||||||
\(864\) | −30.7745 | − | 2.87749i | −1.04697 | − | 0.0978941i | ||||
\(865\) | 8.54962 | − | 17.4203i | 0.290696 | − | 0.592308i | ||||
\(866\) | −9.57168 | − | 21.4984i | −0.325259 | − | 0.730544i | ||||
\(867\) | 3.61500 | − | 9.52628i | 0.122772 | − | 0.323529i | ||||
\(868\) | −30.6562 | − | 18.9197i | −1.04054 | − | 0.642175i | ||||
\(869\) | 0.277037 | + | 0.852631i | 0.00939783 | + | 0.0289235i | ||||
\(870\) | −14.1051 | − | 40.7831i | −0.478209 | − | 1.38268i | ||||
\(871\) | −6.82596 | + | 1.45090i | −0.231289 | + | 0.0491620i | ||||
\(872\) | −14.1514 | + | 21.7913i | −0.479227 | + | 0.737946i | ||||
\(873\) | −31.7941 | − | 15.8943i | −1.07607 | − | 0.537942i | ||||
\(874\) | − | 44.0652i | − | 1.49053i | ||||||
\(875\) | −23.6563 | + | 17.7589i | −0.799731 | + | 0.600359i | ||||
\(876\) | 11.0007 | − | 1.19883i | 0.371681 | − | 0.0405049i | ||||
\(877\) | −10.9216 | + | 13.4871i | −0.368796 | + | 0.455425i | −0.927434 | − | 0.373986i | \(-0.877991\pi\) |
0.558638 | + | 0.829412i | \(0.311324\pi\) | |||||||
\(878\) | −40.5880 | − | 26.3582i | −1.36978 | − | 0.889545i | ||||
\(879\) | 32.7339 | − | 10.7746i | 1.10409 | − | 0.363420i | ||||
\(880\) | 0.0952687 | + | 0.417341i | 0.00321151 | + | 0.0140686i | ||||
\(881\) | 53.6357 | − | 17.4273i | 1.80703 | − | 0.587140i | 0.807037 | − | 0.590501i | \(-0.201070\pi\) |
0.999994 | + | 0.00336045i | \(0.00106967\pi\) | |||||||
\(882\) | −4.93096 | + | 47.5270i | −0.166034 | + | 1.60032i | ||||
\(883\) | −17.9268 | − | 9.13419i | −0.603286 | − | 0.307390i | 0.125540 | − | 0.992089i | \(-0.459934\pi\) |
−0.728826 | + | 0.684699i | \(0.759934\pi\) | |||||||
\(884\) | −33.4880 | + | 14.9098i | −1.12632 | + | 0.501471i | ||||
\(885\) | 43.9495 | + | 15.9283i | 1.47735 | + | 0.535424i | ||||
\(886\) | 31.8425 | + | 14.1772i | 1.06977 | + | 0.476292i | ||||
\(887\) | 6.13246 | − | 15.9756i | 0.205908 | − | 0.536408i | −0.791271 | − | 0.611465i | \(-0.790580\pi\) |
0.997179 | + | 0.0750568i | \(0.0239138\pi\) | |||||||
\(888\) | −11.9835 | − | 44.0477i | −0.402141 | − | 1.47814i | ||||
\(889\) | −46.8974 | − | 8.84529i | −1.57289 | − | 0.296662i | ||||
\(890\) | 4.79435 | − | 13.0721i | 0.160707 | − | 0.438178i | ||||
\(891\) | −4.99269 | − | 4.35883i | −0.167261 | − | 0.146026i | ||||
\(892\) | −3.00928 | + | 0.157710i | −0.100758 | + | 0.00528052i | ||||
\(893\) | −3.55304 | + | 13.2601i | −0.118898 | + | 0.443733i | ||||
\(894\) | −3.36273 | + | 33.2174i | −0.112466 | + | 1.11095i | ||||
\(895\) | −12.2670 | + | 5.68346i | −0.410040 | + | 0.189977i | ||||
\(896\) | −3.82519 | + | 46.7157i | −0.127791 | + | 1.56066i | ||||
\(897\) | −10.8724 | − | 16.6025i | −0.363018 | − | 0.554340i | ||||
\(898\) | 15.9841 | + | 12.9437i | 0.533398 | + | 0.431937i | ||||
\(899\) | −10.4931 | − | 18.1745i | −0.349963 | − | 0.606154i | ||||
\(900\) | 13.0109 | − | 45.8470i | 0.433696 | − | 1.52823i | ||||
\(901\) | −7.34720 | + | 12.7257i | −0.244771 | + | 0.423956i | ||||
\(902\) | 1.10263 | − | 6.96173i | 0.0367135 | − | 0.231800i | ||||
\(903\) | 6.30274 | + | 21.2255i | 0.209742 | + | 0.706341i | ||||
\(904\) | −46.0319 | − | 14.9567i | −1.53100 | − | 0.497452i | ||||
\(905\) | −24.7364 | − | 41.3989i | −0.822267 | − | 1.37615i | ||||
\(906\) | 40.0735 | + | 28.8813i | 1.33135 | + | 0.959517i | ||||
\(907\) | −0.952964 | + | 3.55651i | −0.0316427 | + | 0.118092i | −0.979941 | − | 0.199289i | \(-0.936137\pi\) |
0.948298 | + | 0.317381i | \(0.102803\pi\) | |||||||
\(908\) | −11.5347 | − | 17.7619i | −0.382792 | − | 0.589449i | ||||
\(909\) | 35.6761 | + | 15.5577i | 1.18330 | + | 0.516017i | ||||
\(910\) | −30.7311 | − | 10.4750i | −1.01872 | − | 0.347242i | ||||
\(911\) | −20.1695 | − | 27.7610i | −0.668246 | − | 0.919762i | 0.331473 | − | 0.943465i | \(-0.392455\pi\) |
−0.999719 | + | 0.0237025i | \(0.992455\pi\) | |||||||
\(912\) | −1.77490 | − | 0.468305i | −0.0587727 | − | 0.0155071i | ||||
\(913\) | 0.137976 | + | 0.170386i | 0.00456632 | + | 0.00563894i | ||||
\(914\) | −28.2822 | − | 12.5920i | −0.935492 | − | 0.416508i | ||||
\(915\) | 53.1885 | + | 7.40104i | 1.75836 | + | 0.244671i | ||||
\(916\) | 18.7400 | + | 13.6154i | 0.619188 | + | 0.449867i | ||||
\(917\) | 4.72908 | − | 19.4274i | 0.156168 | − | 0.641549i | ||||
\(918\) | −25.0954 | + | 50.6837i | −0.828273 | + | 1.67281i | ||||
\(919\) | 8.19707 | − | 38.5642i | 0.270397 | − | 1.27212i | −0.607905 | − | 0.794009i | \(-0.707990\pi\) |
0.878302 | − | 0.478106i | \(-0.158677\pi\) | |||||||
\(920\) | −17.0666 | − | 22.7646i | −0.562669 | − | 0.750525i | ||||
\(921\) | −20.2775 | + | 6.67453i | −0.668168 | + | 0.219933i | ||||
\(922\) | −4.37418 | + | 83.4643i | −0.144056 | + | 2.74875i | ||||
\(923\) | 31.2173 | + | 4.94433i | 1.02753 | + | 0.162745i | ||||
\(924\) | −6.95781 | + | 8.15760i | −0.228895 | + | 0.268365i | ||||
\(925\) | −49.0322 | + | 4.04651i | −1.61217 | + | 0.133048i | ||||
\(926\) | −14.4952 | − | 8.36881i | −0.476342 | − | 0.275016i | ||||
\(927\) | −5.54155 | − | 8.39182i | −0.182008 | − | 0.275624i | ||||
\(928\) | −15.8647 | + | 24.4295i | −0.520785 | + | 0.801938i | ||||
\(929\) | 14.5895 | + | 16.2033i | 0.478667 | + | 0.531613i | 0.933315 | − | 0.359058i | \(-0.116902\pi\) |
−0.454649 | + | 0.890671i | \(0.650235\pi\) | |||||||
\(930\) | 3.24009 | − | 37.6266i | 0.106247 | − | 1.23383i | ||||
\(931\) | −7.55998 | + | 27.5174i | −0.247768 | + | 0.901846i | ||||
\(932\) | 4.93867 | − | 4.93867i | 0.161771 | − | 0.161771i | ||||
\(933\) | −10.4537 | − | 12.8086i | −0.342239 | − | 0.419336i | ||||
\(934\) | −37.5668 | − | 3.94843i | −1.22922 | − | 0.129197i | ||||
\(935\) | 7.79757 | + | 1.11547i | 0.255008 | + | 0.0364797i | ||||
\(936\) | 18.3857 | − | 6.12995i | 0.600956 | − | 0.200364i | ||||
\(937\) | −4.03810 | − | 25.4955i | −0.131919 | − | 0.832903i | −0.961558 | − | 0.274602i | \(-0.911454\pi\) |
0.829639 | − | 0.558300i | \(-0.188546\pi\) | |||||||
\(938\) | 13.7848 | + | 10.6468i | 0.450088 | + | 0.347630i | ||||
\(939\) | 31.9042 | + | 35.1615i | 1.04116 | + | 1.14745i | ||||
\(940\) | 8.90710 | + | 22.2031i | 0.290518 | + | 0.724186i | ||||
\(941\) | 57.0664 | + | 5.99792i | 1.86031 | + | 0.195527i | 0.967150 | − | 0.254208i | \(-0.0818147\pi\) |
0.893162 | + | 0.449734i | \(0.148481\pi\) | |||||||
\(942\) | 8.87159 | + | 54.6575i | 0.289052 | + | 1.78084i | ||||
\(943\) | −5.17211 | − | 19.3026i | −0.168427 | − | 0.628578i | ||||
\(944\) | −0.969629 | − | 2.98421i | −0.0315587 | − | 0.0971278i | ||||
\(945\) | −28.7305 | + | 10.9344i | −0.934602 | + | 0.355696i | ||||
\(946\) | −2.50176 | + | 7.69962i | −0.0813392 | + | 0.250336i | ||||
\(947\) | −36.4025 | − | 1.90778i | −1.18292 | − | 0.0619944i | −0.549293 | − | 0.835630i | \(-0.685103\pi\) |
−0.633631 | + | 0.773636i | \(0.718436\pi\) | |||||||
\(948\) | −5.95751 | + | 3.06430i | −0.193491 | + | 0.0995237i | ||||
\(949\) | 4.20032 | − | 2.42505i | 0.136348 | − | 0.0787206i | ||||
\(950\) | 19.8076 | − | 41.9371i | 0.642644 | − | 1.36062i | ||||
\(951\) | 3.69177 | + | 33.8764i | 0.119714 | + | 1.09852i | ||||
\(952\) | 30.5503 | + | 14.6904i | 0.990141 | + | 0.476120i | ||||
\(953\) | −34.6618 | + | 17.6611i | −1.12280 | + | 0.572098i | −0.913941 | − | 0.405847i | \(-0.866977\pi\) |
−0.208864 | + | 0.977945i | \(0.566977\pi\) | |||||||
\(954\) | 12.1946 | − | 17.0577i | 0.394816 | − | 0.552264i | ||||
\(955\) | 19.8239 | + | 26.4424i | 0.641485 | + | 0.855655i | ||||
\(956\) | −33.0864 | − | 29.7911i | −1.07009 | − | 0.963514i | ||||
\(957\) | −5.82256 | + | 2.26069i | −0.188217 | + | 0.0730778i | ||||
\(958\) | 39.5815 | + | 20.1678i | 1.27882 | + | 0.651591i | ||||
\(959\) | −30.0203 | − | 39.3802i | −0.969406 | − | 1.27165i | ||||
\(960\) | −46.7094 | + | 18.9461i | −1.50754 | + | 0.611484i | ||||
\(961\) | 1.32061 | + | 12.5647i | 0.0426002 | + | 0.405314i | ||||
\(962\) | −33.9836 | − | 41.9662i | −1.09567 | − | 1.35304i | ||||
\(963\) | −25.6420 | + | 32.1658i | −0.826300 | + | 1.03653i | ||||
\(964\) | 24.0408 | − | 2.52679i | 0.774302 | − | 0.0813825i | ||||
\(965\) | −7.95282 | − | 0.297330i | −0.256010 | − | 0.00957140i | ||||
\(966\) | −14.0363 | + | 47.5027i | −0.451612 | + | 1.52837i | ||||
\(967\) | 27.0809 | − | 53.1492i | 0.870862 | − | 1.70916i | 0.183273 | − | 0.983062i | \(-0.441331\pi\) |
0.687589 | − | 0.726100i | \(-0.258669\pi\) | |||||||
\(968\) | 27.0559 | − | 7.24961i | 0.869610 | − | 0.233011i | ||||
\(969\) | −19.7490 | + | 27.4022i | −0.634429 | + | 0.880286i | ||||
\(970\) | −60.2764 | + | 0.903643i | −1.93536 | + | 0.0290142i | ||||
\(971\) | −21.3102 | + | 19.1877i | −0.683875 | + | 0.615764i | −0.936029 | − | 0.351923i | \(-0.885528\pi\) |
0.252154 | + | 0.967687i | \(0.418861\pi\) | |||||||
\(972\) | 26.1741 | − | 42.0457i | 0.839536 | − | 1.34862i | ||||
\(973\) | 6.60691 | + | 9.67849i | 0.211808 | + | 0.310278i | ||||
\(974\) | −4.97093 | −0.159279 | ||||||||
\(975\) | −2.88437 | − | 20.6879i | −0.0923738 | − | 0.662542i | ||||
\(976\) | −1.80228 | − | 3.12165i | −0.0576897 | − | 0.0999215i | ||||
\(977\) | −21.4133 | + | 8.21978i | −0.685071 | + | 0.262974i | −0.675910 | − | 0.736984i | \(-0.736249\pi\) |
−0.00916077 | + | 0.999958i | \(0.502916\pi\) | |||||||
\(978\) | 2.50657 | + | 44.5623i | 0.0801512 | + | 1.42494i | ||||
\(979\) | −1.91666 | − | 0.622761i | −0.0612568 | − | 0.0199035i | ||||
\(980\) | 18.2237 | + | 46.2711i | 0.582134 | + | 1.47808i | ||||
\(981\) | 14.7439 | + | 25.0913i | 0.470735 | + | 0.801104i | ||||
\(982\) | 65.2704 | − | 17.4892i | 2.08286 | − | 0.558101i | ||||
\(983\) | −25.6862 | + | 1.34616i | −0.819263 | + | 0.0429357i | −0.457362 | − | 0.889281i | \(-0.651206\pi\) |
−0.361901 | + | 0.932217i | \(0.617872\pi\) | |||||||
\(984\) | 19.5151 | − | 0.0747336i | 0.622119 | − | 0.00238242i | ||||
\(985\) | 15.4621 | + | 18.5195i | 0.492665 | + | 0.590081i | ||||
\(986\) | 31.3287 | + | 43.1202i | 0.997708 | + | 1.37323i | ||||
\(987\) | 8.05403 | − | 13.1628i | 0.256363 | − | 0.418975i | ||||
\(988\) | 30.8557 | − | 4.88706i | 0.981650 | − | 0.155478i | ||||
\(989\) | 2.39923 | + | 22.8271i | 0.0762911 | + | 0.725861i | ||||
\(990\) | −10.9202 | − | 2.66253i | −0.347068 | − | 0.0846207i | ||||
\(991\) | 2.58111 | − | 24.5576i | 0.0819915 | − | 0.780097i | −0.873846 | − | 0.486202i | \(-0.838382\pi\) |
0.955838 | − | 0.293895i | \(-0.0949515\pi\) | |||||||
\(992\) | −21.3796 | + | 13.8841i | −0.678802 | + | 0.440819i | ||||
\(993\) | 16.7932 | − | 20.9011i | 0.532917 | − | 0.663275i | ||||
\(994\) | −41.0055 | − | 67.3919i | −1.30061 | − | 2.13754i | ||||
\(995\) | −39.5142 | + | 36.6661i | −1.25268 | + | 1.16239i | ||||
\(996\) | −1.09161 | + | 1.22173i | −0.0345890 | + | 0.0387121i | ||||
\(997\) | 7.75798 | + | 5.03809i | 0.245698 | + | 0.159558i | 0.661613 | − | 0.749845i | \(-0.269872\pi\) |
−0.415915 | + | 0.909403i | \(0.636539\pi\) | |||||||
\(998\) | −15.0299 | − | 39.1543i | −0.475764 | − | 1.23941i | ||||
\(999\) | −50.1306 | − | 10.0551i | −1.58606 | − | 0.318128i |
(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 | 525.2.bs.a.2.10 | ✓ | 1216 | |
3.2 | odd | 2 | inner | 525.2.bs.a.2.67 | yes | 1216 | |
7.4 | even | 3 | inner | 525.2.bs.a.452.67 | yes | 1216 | |
21.11 | odd | 6 | inner | 525.2.bs.a.452.10 | yes | 1216 | |
25.13 | odd | 20 | inner | 525.2.bs.a.338.10 | yes | 1216 | |
75.38 | even | 20 | inner | 525.2.bs.a.338.67 | yes | 1216 | |
175.88 | odd | 60 | inner | 525.2.bs.a.263.67 | yes | 1216 | |
525.263 | even | 60 | inner | 525.2.bs.a.263.10 | yes | 1216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.bs.a.2.10 | ✓ | 1216 | 1.1 | even | 1 | trivial | |
525.2.bs.a.2.67 | yes | 1216 | 3.2 | odd | 2 | inner | |
525.2.bs.a.263.10 | yes | 1216 | 525.263 | even | 60 | inner | |
525.2.bs.a.263.67 | yes | 1216 | 175.88 | odd | 60 | inner | |
525.2.bs.a.338.10 | yes | 1216 | 25.13 | odd | 20 | inner | |
525.2.bs.a.338.67 | yes | 1216 | 75.38 | even | 20 | inner | |
525.2.bs.a.452.10 | yes | 1216 | 21.11 | odd | 6 | inner | |
525.2.bs.a.452.67 | yes | 1216 | 7.4 | even | 3 | inner |