Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [637,2,Mod(53,637)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(637, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([10, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("637.53");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 637 = 7^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 637.bl (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.08647060876\) |
Analytic rank: | \(0\) |
Dimension: | \(348\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 625.14 | ||
Character | \(\chi\) | \(=\) | 637.625 |
Dual form | 637.2.bl.b.53.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(248\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{16}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.00745244 | − | 0.00508099i | 0.00526967 | − | 0.00359280i | −0.560682 | − | 0.828031i | \(-0.689461\pi\) |
0.565952 | + | 0.824438i | \(0.308509\pi\) | |||||||
\(3\) | −2.32094 | + | 2.15352i | −1.33999 | + | 1.24333i | −0.394016 | + | 0.919103i | \(0.628915\pi\) |
−0.945978 | + | 0.324230i | \(0.894895\pi\) | |||||||
\(4\) | −0.730652 | + | 1.86167i | −0.365326 | + | 0.930836i | ||||
\(5\) | 2.27283 | + | 0.701076i | 1.01644 | + | 0.313531i | 0.757831 | − | 0.652451i | \(-0.226259\pi\) |
0.258611 | + | 0.965982i | \(0.416735\pi\) | |||||||
\(6\) | −0.00635467 | + | 0.0278416i | −0.00259428 | + | 0.0113663i | ||||
\(7\) | −1.04784 | − | 2.42941i | −0.396045 | − | 0.918231i | ||||
\(8\) | 0.00802814 | + | 0.0351736i | 0.00283838 | + | 0.0124357i | ||||
\(9\) | 0.524933 | − | 7.00475i | 0.174978 | − | 2.33492i | ||||
\(10\) | 0.0205003 | − | 0.00632351i | 0.00648277 | − | 0.00199967i | ||||
\(11\) | −0.443633 | − | 5.91987i | −0.133760 | − | 1.78491i | −0.511786 | − | 0.859113i | \(-0.671016\pi\) |
0.378026 | − | 0.925795i | \(-0.376603\pi\) | |||||||
\(12\) | −2.31334 | − | 5.89430i | −0.667804 | − | 1.70154i | ||||
\(13\) | −0.900969 | − | 0.433884i | −0.249884 | − | 0.120338i | ||||
\(14\) | −0.0201528 | − | 0.0127810i | −0.00538605 | − | 0.00341586i | ||||
\(15\) | −6.78489 | + | 3.26743i | −1.75185 | + | 0.843647i | ||||
\(16\) | −2.93185 | − | 2.72036i | −0.732962 | − | 0.680090i | ||||
\(17\) | 3.33077 | + | 0.502032i | 0.807829 | + | 0.121761i | 0.539956 | − | 0.841693i | \(-0.318441\pi\) |
0.267874 | + | 0.963454i | \(0.413679\pi\) | |||||||
\(18\) | −0.0316790 | − | 0.0548697i | −0.00746682 | − | 0.0129329i | ||||
\(19\) | 1.92716 | − | 3.33794i | 0.442120 | − | 0.765775i | −0.555726 | − | 0.831365i | \(-0.687560\pi\) |
0.997847 | + | 0.0655904i | \(0.0208931\pi\) | |||||||
\(20\) | −2.96582 | + | 3.71903i | −0.663179 | + | 0.831600i | ||||
\(21\) | 7.66374 | + | 3.38198i | 1.67237 | + | 0.738009i | ||||
\(22\) | −0.0333849 | − | 0.0418634i | −0.00711769 | − | 0.00892530i | ||||
\(23\) | −1.91111 | + | 0.288054i | −0.398494 | + | 0.0600633i | −0.345232 | − | 0.938517i | \(-0.612200\pi\) |
−0.0532618 | + | 0.998581i | \(0.516962\pi\) | |||||||
\(24\) | −0.0943797 | − | 0.0643470i | −0.0192652 | − | 0.0131348i | ||||
\(25\) | 0.543070 | + | 0.370259i | 0.108614 | + | 0.0740518i | ||||
\(26\) | −0.00891898 | + | 0.00134432i | −0.00174916 | + | 0.000263643i | ||||
\(27\) | 7.94435 | + | 9.96191i | 1.52889 | + | 1.91717i | ||||
\(28\) | 5.28837 | − | 0.175674i | 0.999408 | − | 0.0331992i | ||||
\(29\) | −3.47129 | + | 4.35286i | −0.644603 | + | 0.808306i | −0.991570 | − | 0.129571i | \(-0.958640\pi\) |
0.346968 | + | 0.937877i | \(0.387211\pi\) | |||||||
\(30\) | −0.0339622 | + | 0.0588243i | −0.00620062 | + | 0.0107398i | ||||
\(31\) | −3.31108 | − | 5.73497i | −0.594688 | − | 1.03003i | −0.993591 | − | 0.113037i | \(-0.963942\pi\) |
0.398903 | − | 0.916993i | \(-0.369391\pi\) | |||||||
\(32\) | −0.107022 | − | 0.0161310i | −0.0189190 | − | 0.00285158i | ||||
\(33\) | 13.7782 | + | 12.7843i | 2.39847 | + | 2.22546i | ||||
\(34\) | 0.0273732 | − | 0.0131822i | 0.00469446 | − | 0.00226073i | ||||
\(35\) | −0.678357 | − | 6.25626i | −0.114663 | − | 1.05750i | ||||
\(36\) | 12.6570 | + | 6.09529i | 2.10950 | + | 1.01588i | ||||
\(37\) | −0.404808 | − | 1.03143i | −0.0665500 | − | 0.169567i | 0.893730 | − | 0.448606i | \(-0.148079\pi\) |
−0.960280 | + | 0.279039i | \(0.909984\pi\) | |||||||
\(38\) | −0.00259798 | − | 0.0346676i | −0.000421448 | − | 0.00562383i | ||||
\(39\) | 3.02547 | − | 0.933234i | 0.484463 | − | 0.149437i | ||||
\(40\) | −0.00641274 | + | 0.0855720i | −0.00101394 | + | 0.0135301i | ||||
\(41\) | −1.30936 | − | 5.73668i | −0.204488 | − | 0.895919i | −0.968163 | − | 0.250319i | \(-0.919465\pi\) |
0.763676 | − | 0.645600i | \(-0.223393\pi\) | |||||||
\(42\) | 0.0742974 | − | 0.0137354i | 0.0114643 | − | 0.00211942i | ||||
\(43\) | −1.13741 | + | 4.98332i | −0.173453 | + | 0.759949i | 0.811106 | + | 0.584899i | \(0.198866\pi\) |
−0.984560 | + | 0.175050i | \(0.943991\pi\) | |||||||
\(44\) | 11.3450 | + | 3.49947i | 1.71032 | + | 0.527565i | ||||
\(45\) | 6.10395 | − | 15.5526i | 0.909923 | − | 2.31845i | ||||
\(46\) | −0.0127788 | + | 0.0118570i | −0.00188414 | + | 0.00174822i | ||||
\(47\) | 0.460375 | − | 0.313878i | 0.0671526 | − | 0.0457839i | −0.529278 | − | 0.848448i | \(-0.677537\pi\) |
0.596431 | + | 0.802664i | \(0.296585\pi\) | |||||||
\(48\) | 12.6630 | 1.82774 | ||||||||
\(49\) | −4.80408 | + | 5.09125i | −0.686296 | + | 0.727322i | ||||
\(50\) | 0.00592848 | 0.000838414 | ||||||||
\(51\) | −8.81164 | + | 6.00767i | −1.23388 | + | 0.841243i | ||||
\(52\) | 1.46604 | − | 1.36029i | 0.203304 | − | 0.188638i | ||||
\(53\) | 1.57254 | − | 4.00677i | 0.216005 | − | 0.550372i | −0.781266 | − | 0.624198i | \(-0.785426\pi\) |
0.997271 | + | 0.0738260i | \(0.0235209\pi\) | |||||||
\(54\) | 0.109821 | + | 0.0338753i | 0.0149448 | + | 0.00460985i | ||||
\(55\) | 3.14198 | − | 13.7659i | 0.423664 | − | 1.85619i | ||||
\(56\) | 0.0770389 | − | 0.0563598i | 0.0102948 | − | 0.00753140i | ||||
\(57\) | 2.71548 | + | 11.8973i | 0.359675 | + | 1.57584i | ||||
\(58\) | −0.00375275 | + | 0.0500770i | −0.000492761 | + | 0.00657544i | ||||
\(59\) | −7.46401 | + | 2.30234i | −0.971731 | + | 0.299739i | −0.739676 | − | 0.672963i | \(-0.765021\pi\) |
−0.232055 | + | 0.972703i | \(0.574545\pi\) | |||||||
\(60\) | −1.12549 | − | 15.0186i | −0.145300 | − | 1.93889i | ||||
\(61\) | −4.20270 | − | 10.7083i | −0.538101 | − | 1.37106i | −0.898793 | − | 0.438374i | \(-0.855555\pi\) |
0.360692 | − | 0.932685i | \(-0.382541\pi\) | |||||||
\(62\) | −0.0538150 | − | 0.0259159i | −0.00683451 | − | 0.00329132i | ||||
\(63\) | −17.5675 | + | 6.06456i | −2.21329 | + | 0.764062i | ||||
\(64\) | 7.20599 | − | 3.47022i | 0.900749 | − | 0.433778i | ||||
\(65\) | −1.74357 | − | 1.61779i | −0.216263 | − | 0.200663i | ||||
\(66\) | 0.167638 | + | 0.0252674i | 0.0206348 | + | 0.00311020i | ||||
\(67\) | −7.65560 | − | 13.2599i | −0.935281 | − | 1.61995i | −0.774132 | − | 0.633024i | \(-0.781813\pi\) |
−0.161149 | − | 0.986930i | \(-0.551520\pi\) | |||||||
\(68\) | −3.36825 | + | 5.83398i | −0.408460 | + | 0.707474i | ||||
\(69\) | 3.81524 | − | 4.78416i | 0.459301 | − | 0.575946i | ||||
\(70\) | −0.0368434 | − | 0.0431777i | −0.00440363 | − | 0.00516072i | ||||
\(71\) | 4.91424 | + | 6.16226i | 0.583213 | + | 0.731326i | 0.982657 | − | 0.185432i | \(-0.0593683\pi\) |
−0.399444 | + | 0.916758i | \(0.630797\pi\) | |||||||
\(72\) | 0.250596 | − | 0.0377713i | 0.0295331 | − | 0.00445139i | ||||
\(73\) | 10.6820 | + | 7.28285i | 1.25023 | + | 0.852393i | 0.993471 | − | 0.114082i | \(-0.0363928\pi\) |
0.256759 | + | 0.966475i | \(0.417345\pi\) | |||||||
\(74\) | −0.00825751 | − | 0.00562988i | −0.000959916 | − | 0.000654460i | ||||
\(75\) | −2.05779 | + | 0.310162i | −0.237613 | + | 0.0358144i | ||||
\(76\) | 4.80606 | + | 6.02661i | 0.551293 | + | 0.691299i | ||||
\(77\) | −13.9169 | + | 7.28083i | −1.58598 | + | 0.829727i | ||||
\(78\) | 0.0178054 | − | 0.0223272i | 0.00201606 | − | 0.00252806i | ||||
\(79\) | −0.935764 | + | 1.62079i | −0.105282 | + | 0.182353i | −0.913853 | − | 0.406045i | \(-0.866908\pi\) |
0.808572 | + | 0.588398i | \(0.200241\pi\) | |||||||
\(80\) | −4.75643 | − | 8.23837i | −0.531785 | − | 0.921078i | ||||
\(81\) | −19.0537 | − | 2.87188i | −2.11708 | − | 0.319098i | ||||
\(82\) | −0.0389059 | − | 0.0360994i | −0.00429644 | − | 0.00398652i | ||||
\(83\) | 9.10579 | − | 4.38512i | 0.999490 | − | 0.481329i | 0.138725 | − | 0.990331i | \(-0.455700\pi\) |
0.860765 | + | 0.509002i | \(0.169985\pi\) | |||||||
\(84\) | −11.8957 | + | 11.7963i | −1.29792 | + | 1.28708i | ||||
\(85\) | 7.21831 | + | 3.47616i | 0.782936 | + | 0.377042i | ||||
\(86\) | 0.0168437 | + | 0.0429170i | 0.00181630 | + | 0.00462786i | ||||
\(87\) | −1.31730 | − | 17.5782i | −0.141230 | − | 1.88458i | ||||
\(88\) | 0.204662 | − | 0.0631297i | 0.0218170 | − | 0.00672965i | ||||
\(89\) | −0.516222 | + | 6.88850i | −0.0547194 | + | 0.730180i | 0.900608 | + | 0.434631i | \(0.143121\pi\) |
−0.955328 | + | 0.295548i | \(0.904498\pi\) | |||||||
\(90\) | −0.0335333 | − | 0.146919i | −0.00353472 | − | 0.0154866i | ||||
\(91\) | −0.110013 | + | 2.64346i | −0.0115325 | + | 0.277110i | ||||
\(92\) | 0.860096 | − | 3.76833i | 0.0896712 | − | 0.392875i | ||||
\(93\) | 20.0352 | + | 6.18003i | 2.07755 | + | 0.640839i | ||||
\(94\) | 0.00183611 | − | 0.00467832i | 0.000189380 | − | 0.000482532i | ||||
\(95\) | 6.72026 | − | 6.23549i | 0.689484 | − | 0.639747i | ||||
\(96\) | 0.283130 | − | 0.193035i | 0.0288968 | − | 0.0197015i | ||||
\(97\) | 4.27784 | 0.434349 | 0.217174 | − | 0.976133i | \(-0.430316\pi\) | ||||
0.217174 | + | 0.976133i | \(0.430316\pi\) | |||||||
\(98\) | −0.00993349 | + | 0.0623517i | −0.00100343 | + | 0.00629848i | ||||
\(99\) | −41.7001 | −4.19102 | ||||||||
\(100\) | −1.08610 | + | 0.740488i | −0.108610 | + | 0.0740488i | ||||
\(101\) | 2.58299 | − | 2.39667i | 0.257017 | − | 0.238477i | −0.541131 | − | 0.840938i | \(-0.682004\pi\) |
0.798148 | + | 0.602461i | \(0.205813\pi\) | |||||||
\(102\) | −0.0351433 | + | 0.0895437i | −0.00347971 | + | 0.00886615i | ||||
\(103\) | −0.850421 | − | 0.262320i | −0.0837944 | − | 0.0258472i | 0.252575 | − | 0.967577i | \(-0.418723\pi\) |
−0.336369 | + | 0.941730i | \(0.609199\pi\) | |||||||
\(104\) | 0.00802814 | − | 0.0351736i | 0.000787224 | − | 0.00344905i | ||||
\(105\) | 15.0474 | + | 13.0595i | 1.46847 | + | 1.27448i | ||||
\(106\) | −0.00863908 | − | 0.0378503i | −0.000839102 | − | 0.00367635i | ||||
\(107\) | 0.637242 | − | 8.50340i | 0.0616045 | − | 0.822054i | −0.877753 | − | 0.479114i | \(-0.840958\pi\) |
0.939357 | − | 0.342940i | \(-0.111423\pi\) | |||||||
\(108\) | −24.3504 | + | 7.51109i | −2.34311 | + | 0.722755i | ||||
\(109\) | 0.952103 | + | 12.7049i | 0.0911949 | + | 1.21691i | 0.835659 | + | 0.549249i | \(0.185086\pi\) |
−0.744464 | + | 0.667663i | \(0.767295\pi\) | |||||||
\(110\) | −0.0465290 | − | 0.118554i | −0.00443636 | − | 0.0113037i | ||||
\(111\) | 3.16075 | + | 1.52213i | 0.300005 | + | 0.144475i | ||||
\(112\) | −3.53677 | + | 9.97316i | −0.334193 | + | 0.942375i | ||||
\(113\) | −12.8463 | + | 6.18644i | −1.20848 | + | 0.581972i | −0.926080 | − | 0.377326i | \(-0.876844\pi\) |
−0.282396 | + | 0.959298i | \(0.591129\pi\) | |||||||
\(114\) | 0.0806871 | + | 0.0748667i | 0.00755704 | + | 0.00701191i | ||||
\(115\) | −4.54558 | − | 0.685136i | −0.423878 | − | 0.0638893i | ||||
\(116\) | −5.56729 | − | 9.64283i | −0.516910 | − | 0.895314i | ||||
\(117\) | −3.51220 | + | 6.08330i | −0.324703 | + | 0.562401i | ||||
\(118\) | −0.0439269 | + | 0.0550826i | −0.00404380 | + | 0.00507076i | ||||
\(119\) | −2.27046 | − | 8.61785i | −0.208133 | − | 0.789997i | ||||
\(120\) | −0.169397 | − | 0.212417i | −0.0154638 | − | 0.0193910i | ||||
\(121\) | −23.9709 | + | 3.61303i | −2.17917 | + | 0.328458i | ||||
\(122\) | −0.0857292 | − | 0.0584492i | −0.00776156 | − | 0.00529174i | ||||
\(123\) | 15.3930 | + | 10.4948i | 1.38794 | + | 0.946280i | ||||
\(124\) | 13.0959 | − | 1.97389i | 1.17604 | − | 0.177260i | ||||
\(125\) | −6.44014 | − | 8.07567i | −0.576023 | − | 0.722310i | ||||
\(126\) | −0.100107 | + | 0.134456i | −0.00891820 | + | 0.0119783i | ||||
\(127\) | 3.20384 | − | 4.01749i | 0.284295 | − | 0.356494i | −0.619094 | − | 0.785317i | \(-0.712500\pi\) |
0.903389 | + | 0.428822i | \(0.141071\pi\) | |||||||
\(128\) | 0.144301 | − | 0.249936i | 0.0127545 | − | 0.0220915i | ||||
\(129\) | −8.09180 | − | 14.0154i | −0.712443 | − | 1.23399i | ||||
\(130\) | −0.0212138 | − | 0.00319747i | −0.00186057 | − | 0.000280437i | ||||
\(131\) | −16.5451 | − | 15.3517i | −1.44556 | − | 1.34128i | −0.836255 | − | 0.548341i | \(-0.815259\pi\) |
−0.609301 | − | 0.792939i | \(-0.708550\pi\) | |||||||
\(132\) | −33.8672 | + | 16.3096i | −2.94776 | + | 1.41957i | ||||
\(133\) | −10.1286 | − | 1.18425i | −0.878258 | − | 0.102687i | ||||
\(134\) | −0.124426 | − | 0.0599206i | −0.0107488 | − | 0.00517635i | ||||
\(135\) | 11.0721 | + | 28.2114i | 0.952938 | + | 2.42805i | ||||
\(136\) | 0.00908159 | + | 0.121185i | 0.000778740 | + | 0.0103916i | ||||
\(137\) | 18.4336 | − | 5.68600i | 1.57489 | − | 0.485788i | 0.620461 | − | 0.784237i | \(-0.286946\pi\) |
0.954425 | + | 0.298449i | \(0.0964694\pi\) | |||||||
\(138\) | 0.00412460 | − | 0.0550389i | 0.000351109 | − | 0.00468522i | ||||
\(139\) | 3.29491 | + | 14.4359i | 0.279470 | + | 1.22444i | 0.898465 | + | 0.439045i | \(0.144683\pi\) |
−0.618995 | + | 0.785395i | \(0.712460\pi\) | |||||||
\(140\) | 12.1427 | + | 3.30827i | 1.02625 | + | 0.279600i | ||||
\(141\) | −0.392560 | + | 1.71992i | −0.0330595 | + | 0.144843i | ||||
\(142\) | 0.0679335 | + | 0.0209547i | 0.00570085 | + | 0.00175848i | ||||
\(143\) | −2.16884 | + | 5.52610i | −0.181367 | + | 0.462116i | ||||
\(144\) | −20.5945 | + | 19.1089i | −1.71621 | + | 1.59241i | ||||
\(145\) | −10.9414 | + | 7.45969i | −0.908630 | + | 0.619493i | ||||
\(146\) | 0.116611 | 0.00965078 | ||||||||
\(147\) | 0.185866 | − | 22.1621i | 0.0153299 | − | 1.82790i | ||||
\(148\) | 2.21597 | 0.182151 | ||||||||
\(149\) | 11.0747 | − | 7.55063i | 0.907279 | − | 0.618572i | −0.0171809 | − | 0.999852i | \(-0.505469\pi\) |
0.924459 | + | 0.381280i | \(0.124517\pi\) | |||||||
\(150\) | −0.0137596 | + | 0.0127671i | −0.00112347 | + | 0.00104243i | ||||
\(151\) | −4.62766 | + | 11.7911i | −0.376594 | + | 0.959546i | 0.609415 | + | 0.792852i | \(0.291404\pi\) |
−0.986009 | + | 0.166694i | \(0.946691\pi\) | |||||||
\(152\) | 0.132879 | + | 0.0409876i | 0.0107779 | + | 0.00332454i | ||||
\(153\) | 5.26504 | − | 23.0677i | 0.425653 | − | 1.86491i | ||||
\(154\) | −0.0667214 | + | 0.124972i | −0.00537656 | + | 0.0100705i | ||||
\(155\) | −3.50489 | − | 15.3559i | −0.281520 | − | 1.23342i | ||||
\(156\) | −0.473191 | + | 6.31430i | −0.0378856 | + | 0.505549i | ||||
\(157\) | 21.6114 | − | 6.66624i | 1.72478 | − | 0.532024i | 0.735432 | − | 0.677598i | \(-0.236979\pi\) |
0.989347 | + | 0.145574i | \(0.0465030\pi\) | |||||||
\(158\) | 0.00126149 | + | 0.0168335i | 0.000100359 | + | 0.00133920i | ||||
\(159\) | 4.97888 | + | 12.6860i | 0.394850 | + | 1.00606i | ||||
\(160\) | −0.231934 | − | 0.111694i | −0.0183360 | − | 0.00883015i | ||||
\(161\) | 2.70233 | + | 4.34104i | 0.212974 | + | 0.342122i | ||||
\(162\) | −0.156588 | + | 0.0754090i | −0.0123028 | + | 0.00592469i | ||||
\(163\) | 0.813945 | + | 0.755230i | 0.0637531 | + | 0.0591542i | 0.711406 | − | 0.702781i | \(-0.248059\pi\) |
−0.647653 | + | 0.761936i | \(0.724249\pi\) | |||||||
\(164\) | 11.6365 | + | 1.75392i | 0.908658 | + | 0.136958i | ||||
\(165\) | 22.3528 | + | 38.7161i | 1.74016 | + | 3.01404i | ||||
\(166\) | 0.0455796 | − | 0.0789462i | 0.00353767 | − | 0.00612742i | ||||
\(167\) | 3.81624 | − | 4.78541i | 0.295309 | − | 0.370306i | −0.611937 | − | 0.790907i | \(-0.709609\pi\) |
0.907246 | + | 0.420601i | \(0.138181\pi\) | |||||||
\(168\) | −0.0574308 | + | 0.296712i | −0.00443088 | + | 0.0228919i | ||||
\(169\) | 0.623490 | + | 0.781831i | 0.0479608 | + | 0.0601409i | ||||
\(170\) | 0.0714564 | − | 0.0107703i | 0.00548045 | − | 0.000826046i | ||||
\(171\) | −22.3698 | − | 15.2515i | −1.71066 | − | 1.16631i | ||||
\(172\) | −8.44625 | − | 5.75855i | −0.644020 | − | 0.439086i | ||||
\(173\) | 2.22643 | − | 0.335580i | 0.169272 | − | 0.0255137i | −0.0638592 | − | 0.997959i | \(-0.520341\pi\) |
0.233131 | + | 0.972445i | \(0.425103\pi\) | |||||||
\(174\) | −0.0991318 | − | 0.124307i | −0.00751516 | − | 0.00942372i | ||||
\(175\) | 0.330462 | − | 1.70731i | 0.0249806 | − | 0.129061i | ||||
\(176\) | −14.8035 | + | 18.5630i | −1.11586 | + | 1.39924i | ||||
\(177\) | 12.3654 | − | 21.4175i | 0.929439 | − | 1.60983i | ||||
\(178\) | 0.0311533 | + | 0.0539591i | 0.00233504 | + | 0.00404440i | ||||
\(179\) | −21.1462 | − | 3.18727i | −1.58054 | − | 0.238228i | −0.700684 | − | 0.713472i | \(-0.747122\pi\) |
−0.879854 | + | 0.475244i | \(0.842360\pi\) | |||||||
\(180\) | 24.4940 | + | 22.7271i | 1.82567 | + | 1.69398i | ||||
\(181\) | 14.0330 | − | 6.75794i | 1.04307 | − | 0.502314i | 0.167731 | − | 0.985833i | \(-0.446356\pi\) |
0.875334 | + | 0.483519i | \(0.160642\pi\) | |||||||
\(182\) | 0.0126115 | + | 0.0202592i | 0.000934829 | + | 0.00150171i | ||||
\(183\) | 32.8147 | + | 15.8027i | 2.42574 | + | 1.16817i | ||||
\(184\) | −0.0254745 | − | 0.0649081i | −0.00187801 | − | 0.00478509i | ||||
\(185\) | −0.196947 | − | 2.62808i | −0.0144799 | − | 0.193220i | ||||
\(186\) | 0.180712 | − | 0.0557421i | 0.0132504 | − | 0.00408721i | ||||
\(187\) | 1.49433 | − | 19.9404i | 0.109276 | − | 1.45819i | ||||
\(188\) | 0.247964 | + | 1.08640i | 0.0180847 | + | 0.0792341i | ||||
\(189\) | 15.8772 | − | 29.7386i | 1.15489 | − | 2.16316i | ||||
\(190\) | 0.0183999 | − | 0.0806152i | 0.00133487 | − | 0.00584844i | ||||
\(191\) | −2.98741 | − | 0.921493i | −0.216161 | − | 0.0666769i | 0.184783 | − | 0.982779i | \(-0.440842\pi\) |
−0.400944 | + | 0.916102i | \(0.631318\pi\) | |||||||
\(192\) | −9.25148 | + | 23.5724i | −0.667668 | + | 1.70119i | ||||
\(193\) | −1.27942 | + | 1.18713i | −0.0920949 | + | 0.0854516i | −0.724877 | − | 0.688878i | \(-0.758103\pi\) |
0.632782 | + | 0.774330i | \(0.281913\pi\) | |||||||
\(194\) | 0.0318803 | − | 0.0217356i | 0.00228888 | − | 0.00156053i | ||||
\(195\) | 7.53066 | 0.539282 | ||||||||
\(196\) | −5.96813 | − | 12.6635i | −0.426295 | − | 0.904539i | ||||
\(197\) | −18.4986 | −1.31797 | −0.658984 | − | 0.752157i | \(-0.729013\pi\) | ||||
−0.658984 | + | 0.752157i | \(0.729013\pi\) | |||||||
\(198\) | −0.310767 | + | 0.211878i | −0.0220853 | + | 0.0150575i | ||||
\(199\) | 13.2490 | − | 12.2933i | 0.939198 | − | 0.871448i | −0.0526839 | − | 0.998611i | \(-0.516778\pi\) |
0.991882 | + | 0.127163i | \(0.0405871\pi\) | |||||||
\(200\) | −0.00866349 | + | 0.0220742i | −0.000612601 | + | 0.00156088i | ||||
\(201\) | 46.3236 | + | 14.2889i | 3.26741 | + | 1.00786i | ||||
\(202\) | 0.00707216 | − | 0.0309852i | 0.000497596 | − | 0.00218011i | ||||
\(203\) | 14.2122 | + | 3.87210i | 0.997503 | + | 0.271768i | ||||
\(204\) | −4.74607 | − | 20.7939i | −0.332292 | − | 1.45586i | ||||
\(205\) | 1.04589 | − | 13.9565i | 0.0730484 | − | 0.974763i | ||||
\(206\) | −0.00767055 | + | 0.00236605i | −0.000534433 | + | 0.000164851i | ||||
\(207\) | 1.01454 | + | 13.5381i | 0.0705152 | + | 0.940960i | ||||
\(208\) | 1.46119 | + | 3.72304i | 0.101315 | + | 0.258146i | ||||
\(209\) | −20.6151 | − | 9.92771i | −1.42598 | − | 0.686714i | ||||
\(210\) | 0.178495 | + | 0.0208699i | 0.0123173 | + | 0.00144016i | ||||
\(211\) | −7.16004 | + | 3.44810i | −0.492918 | + | 0.237377i | −0.663793 | − | 0.747916i | \(-0.731055\pi\) |
0.170876 | + | 0.985293i | \(0.445340\pi\) | |||||||
\(212\) | 6.31031 | + | 5.85511i | 0.433394 | + | 0.402131i | ||||
\(213\) | −24.6762 | − | 3.71934i | −1.69078 | − | 0.254845i | ||||
\(214\) | −0.0384567 | − | 0.0666089i | −0.00262884 | − | 0.00455329i | ||||
\(215\) | −6.07883 | + | 10.5288i | −0.414573 | + | 0.718061i | ||||
\(216\) | −0.286618 | + | 0.359407i | −0.0195019 | + | 0.0244546i | ||||
\(217\) | −10.4631 | + | 14.0533i | −0.710282 | + | 0.954000i | ||||
\(218\) | 0.0716491 | + | 0.0898451i | 0.00485269 | + | 0.00608508i | ||||
\(219\) | −40.4760 | + | 6.10077i | −2.73511 | + | 0.412252i | ||||
\(220\) | 23.3319 | + | 15.9074i | 1.57304 | + | 1.07248i | ||||
\(221\) | −2.78309 | − | 1.89748i | −0.187211 | − | 0.127638i | ||||
\(222\) | 0.0312892 | − | 0.00471609i | 0.00209999 | − | 0.000316523i | ||||
\(223\) | 11.1535 | + | 13.9860i | 0.746892 | + | 0.936572i | 0.999520 | − | 0.0309910i | \(-0.00986632\pi\) |
−0.252628 | + | 0.967563i | \(0.581295\pi\) | |||||||
\(224\) | 0.0729528 | + | 0.276903i | 0.00487436 | + | 0.0185013i | ||||
\(225\) | 2.87865 | − | 3.60971i | 0.191910 | − | 0.240647i | ||||
\(226\) | −0.0643029 | + | 0.111376i | −0.00427737 | + | 0.00740862i | ||||
\(227\) | −2.45937 | − | 4.25976i | −0.163234 | − | 0.282730i | 0.772792 | − | 0.634659i | \(-0.218859\pi\) |
−0.936027 | + | 0.351928i | \(0.885526\pi\) | |||||||
\(228\) | −24.1330 | − | 3.63746i | −1.59824 | − | 0.240897i | ||||
\(229\) | −6.61669 | − | 6.13939i | −0.437243 | − | 0.405703i | 0.430598 | − | 0.902544i | \(-0.358303\pi\) |
−0.867841 | + | 0.496841i | \(0.834493\pi\) | |||||||
\(230\) | −0.0373569 | + | 0.0179901i | −0.00246324 | + | 0.00118623i | ||||
\(231\) | 16.6210 | − | 46.8687i | 1.09358 | − | 3.08374i | ||||
\(232\) | −0.180974 | − | 0.0871524i | −0.0118815 | − | 0.00572183i | ||||
\(233\) | −2.93698 | − | 7.48330i | −0.192408 | − | 0.490248i | 0.801816 | − | 0.597571i | \(-0.203867\pi\) |
−0.994224 | + | 0.107323i | \(0.965772\pi\) | |||||||
\(234\) | 0.00473475 | + | 0.0631809i | 0.000309520 | + | 0.00413026i | ||||
\(235\) | 1.26641 | − | 0.390635i | 0.0826114 | − | 0.0254822i | ||||
\(236\) | 1.16739 | − | 15.5777i | 0.0759906 | − | 1.01402i | ||||
\(237\) | −1.31855 | − | 5.77694i | −0.0856490 | − | 0.375253i | ||||
\(238\) | −0.0607076 | − | 0.0526878i | −0.00393509 | − | 0.00341525i | ||||
\(239\) | 4.04351 | − | 17.7158i | 0.261553 | − | 1.14594i | −0.658014 | − | 0.753006i | \(-0.728603\pi\) |
0.919567 | − | 0.392934i | \(-0.128540\pi\) | |||||||
\(240\) | 28.7809 | + | 8.87772i | 1.85780 | + | 0.573054i | ||||
\(241\) | 0.140946 | − | 0.359124i | 0.00907911 | − | 0.0231332i | −0.926262 | − | 0.376879i | \(-0.876997\pi\) |
0.935341 | + | 0.353746i | \(0.115092\pi\) | |||||||
\(242\) | −0.160284 | + | 0.148722i | −0.0103034 | + | 0.00956020i | ||||
\(243\) | 18.8239 | − | 12.8339i | 1.20755 | − | 0.823296i | ||||
\(244\) | 23.0061 | 1.47281 | ||||||||
\(245\) | −14.4882 | + | 8.20355i | −0.925618 | + | 0.524105i | ||||
\(246\) | 0.168039 | 0.0107138 | ||||||||
\(247\) | −3.18459 | + | 2.17121i | −0.202630 | + | 0.138151i | ||||
\(248\) | 0.175137 | − | 0.162504i | 0.0111212 | − | 0.0103190i | ||||
\(249\) | −11.6906 | + | 29.7871i | −0.740859 | + | 1.88768i | ||||
\(250\) | −0.0890272 | − | 0.0274612i | −0.00563057 | − | 0.00173680i | ||||
\(251\) | 1.65885 | − | 7.26791i | 0.104706 | − | 0.458747i | −0.895208 | − | 0.445648i | \(-0.852973\pi\) |
0.999914 | − | 0.0130986i | \(-0.00416954\pi\) | |||||||
\(252\) | 1.54549 | − | 37.1359i | 0.0973568 | − | 2.33934i | ||||
\(253\) | 2.55307 | + | 11.1857i | 0.160510 | + | 0.703241i | ||||
\(254\) | 0.00346362 | − | 0.0462188i | 0.000217327 | − | 0.00290002i | ||||
\(255\) | −24.2392 | + | 7.47681i | −1.51792 | + | 0.468216i | ||||
\(256\) | 1.19520 | + | 15.9488i | 0.0746997 | + | 0.996798i | ||||
\(257\) | 5.82445 | + | 14.8405i | 0.363319 | + | 0.925722i | 0.989302 | + | 0.145885i | \(0.0466030\pi\) |
−0.625982 | + | 0.779837i | \(0.715302\pi\) | |||||||
\(258\) | −0.131516 | − | 0.0633346i | −0.00818781 | − | 0.00394304i | ||||
\(259\) | −2.08160 | + | 2.06422i | −0.129345 | + | 0.128264i | ||||
\(260\) | 4.28574 | − | 2.06390i | 0.265790 | − | 0.127998i | ||||
\(261\) | 28.6685 | + | 26.6005i | 1.77454 | + | 1.64653i | ||||
\(262\) | −0.201303 | − | 0.0303416i | −0.0124366 | − | 0.00187451i | ||||
\(263\) | −6.95319 | − | 12.0433i | −0.428752 | − | 0.742621i | 0.568010 | − | 0.823021i | \(-0.307713\pi\) |
−0.996763 | + | 0.0804007i | \(0.974380\pi\) | |||||||
\(264\) | −0.339056 | + | 0.587262i | −0.0208675 | + | 0.0361435i | ||||
\(265\) | 6.38318 | − | 8.00425i | 0.392116 | − | 0.491697i | ||||
\(266\) | −0.0814997 | + | 0.0426376i | −0.00499707 | + | 0.00261428i | ||||
\(267\) | −13.6364 | − | 17.0995i | −0.834533 | − | 1.04647i | ||||
\(268\) | 30.2792 | − | 4.56385i | 1.84959 | − | 0.278781i | ||||
\(269\) | 6.26942 | + | 4.27442i | 0.382253 | + | 0.260616i | 0.739168 | − | 0.673521i | \(-0.235219\pi\) |
−0.356915 | + | 0.934137i | \(0.616171\pi\) | |||||||
\(270\) | 0.225856 | + | 0.153986i | 0.0137452 | + | 0.00937129i | ||||
\(271\) | −9.02358 | + | 1.36009i | −0.548144 | + | 0.0826194i | −0.417275 | − | 0.908780i | \(-0.637015\pi\) |
−0.130869 | + | 0.991400i | \(0.541777\pi\) | |||||||
\(272\) | −8.39960 | − | 10.5328i | −0.509300 | − | 0.638643i | ||||
\(273\) | −5.43741 | − | 6.37223i | −0.329087 | − | 0.385665i | ||||
\(274\) | 0.108485 | − | 0.136035i | 0.00655379 | − | 0.00821820i | ||||
\(275\) | 1.95096 | − | 3.37916i | 0.117647 | − | 0.203771i | ||||
\(276\) | 6.11893 | + | 10.5983i | 0.368316 | + | 0.637942i | ||||
\(277\) | −19.2204 | − | 2.89702i | −1.15484 | − | 0.174065i | −0.456431 | − | 0.889759i | \(-0.650872\pi\) |
−0.698414 | + | 0.715694i | \(0.746110\pi\) | |||||||
\(278\) | 0.0979039 | + | 0.0908416i | 0.00587189 | + | 0.00544831i | ||||
\(279\) | −41.9101 | + | 20.1828i | −2.50909 | + | 1.20832i | ||||
\(280\) | 0.214609 | − | 0.0740864i | 0.0128254 | − | 0.00442751i | ||||
\(281\) | 16.5258 | + | 7.95840i | 0.985846 | + | 0.474758i | 0.856112 | − | 0.516791i | \(-0.172873\pi\) |
0.129734 | + | 0.991549i | \(0.458588\pi\) | |||||||
\(282\) | 0.00581335 | + | 0.0148122i | 0.000346180 | + | 0.000882052i | ||||
\(283\) | 2.34906 | + | 31.3461i | 0.139637 | + | 1.86333i | 0.425368 | + | 0.905020i | \(0.360145\pi\) |
−0.285731 | + | 0.958310i | \(0.592236\pi\) | |||||||
\(284\) | −15.0627 | + | 4.64623i | −0.893807 | + | 0.275703i | ||||
\(285\) | −2.16908 | + | 28.9444i | −0.128485 | + | 1.71452i | ||||
\(286\) | 0.0119149 | + | 0.0522028i | 0.000704546 | + | 0.00308682i | ||||
\(287\) | −12.5648 | + | 9.19208i | −0.741674 | + | 0.542591i | ||||
\(288\) | −0.169173 | + | 0.741194i | −0.00996860 | + | 0.0436753i | ||||
\(289\) | −5.40277 | − | 1.66653i | −0.317810 | − | 0.0980314i | ||||
\(290\) | −0.0436372 | + | 0.111186i | −0.00256246 | + | 0.00652905i | ||||
\(291\) | −9.92860 | + | 9.21240i | −0.582025 | + | 0.540040i | ||||
\(292\) | −21.3631 | + | 14.5651i | −1.25018 | + | 0.852358i | ||||
\(293\) | −14.9633 | −0.874166 | −0.437083 | − | 0.899421i | \(-0.643988\pi\) | ||||
−0.437083 | + | 0.899421i | \(0.643988\pi\) | |||||||
\(294\) | −0.111220 | − | 0.166106i | −0.00648651 | − | 0.00968753i | ||||
\(295\) | −18.5786 | −1.08169 | ||||||||
\(296\) | 0.0330294 | − | 0.0225191i | 0.00191979 | − | 0.00130889i | ||||
\(297\) | 55.4488 | − | 51.4490i | 3.21747 | − | 2.98537i | ||||
\(298\) | 0.0441692 | − | 0.112541i | 0.00255865 | − | 0.00651934i | ||||
\(299\) | 1.84683 | + | 0.569672i | 0.106805 | + | 0.0329450i | ||||
\(300\) | 0.926110 | − | 4.05755i | 0.0534690 | − | 0.234263i | ||||
\(301\) | 13.2983 | − | 2.45847i | 0.766504 | − | 0.141704i | ||||
\(302\) | 0.0254230 | + | 0.111386i | 0.00146293 | + | 0.00640952i | ||||
\(303\) | −0.833706 | + | 11.1250i | −0.0478951 | + | 0.639116i | ||||
\(304\) | −14.7305 | + | 4.54376i | −0.844853 | + | 0.260603i | ||||
\(305\) | −2.04470 | − | 27.2846i | −0.117079 | − | 1.56231i | ||||
\(306\) | −0.0779691 | − | 0.198662i | −0.00445720 | − | 0.0113567i | ||||
\(307\) | 8.67247 | + | 4.17644i | 0.494964 | + | 0.238362i | 0.664676 | − | 0.747131i | \(-0.268569\pi\) |
−0.169712 | + | 0.985494i | \(0.554284\pi\) | |||||||
\(308\) | −3.38606 | − | 31.2285i | −0.192939 | − | 1.77941i | ||||
\(309\) | 2.53868 | − | 1.22257i | 0.144421 | − | 0.0695494i | ||||
\(310\) | −0.104143 | − | 0.0966309i | −0.00591495 | − | 0.00548827i | ||||
\(311\) | 11.9847 | + | 1.80641i | 0.679592 | + | 0.102432i | 0.479762 | − | 0.877399i | \(-0.340723\pi\) |
0.199830 | + | 0.979831i | \(0.435961\pi\) | |||||||
\(312\) | 0.0571141 | + | 0.0989245i | 0.00323345 | + | 0.00560050i | ||||
\(313\) | 9.70718 | − | 16.8133i | 0.548682 | − | 0.950345i | −0.449683 | − | 0.893188i | \(-0.648463\pi\) |
0.998365 | − | 0.0571571i | \(-0.0182036\pi\) | |||||||
\(314\) | 0.127187 | − | 0.159487i | 0.00717757 | − | 0.00900038i | ||||
\(315\) | −44.1796 | + | 1.46760i | −2.48924 | + | 0.0826898i | ||||
\(316\) | −2.33366 | − | 2.92632i | −0.131279 | − | 0.164618i | ||||
\(317\) | −10.0457 | + | 1.51415i | −0.564223 | + | 0.0850429i | −0.424959 | − | 0.905212i | \(-0.639712\pi\) |
−0.139263 | + | 0.990255i | \(0.544473\pi\) | |||||||
\(318\) | 0.101562 | + | 0.0692438i | 0.00569532 | + | 0.00388300i | ||||
\(319\) | 27.3083 | + | 18.6185i | 1.52897 | + | 1.04244i | ||||
\(320\) | 18.8109 | − | 2.83529i | 1.05156 | − | 0.158497i | ||||
\(321\) | 16.8332 | + | 21.1082i | 0.939538 | + | 1.17814i | ||||
\(322\) | 0.0421958 | + | 0.0186208i | 0.00235148 | + | 0.00103770i | ||||
\(323\) | 8.09466 | − | 10.1504i | 0.450399 | − | 0.564783i | ||||
\(324\) | 19.2681 | − | 33.3734i | 1.07045 | − | 1.85408i | ||||
\(325\) | −0.328640 | − | 0.569221i | −0.0182297 | − | 0.0315747i | ||||
\(326\) | 0.00990319 | + | 0.00149267i | 0.000548487 | + | 8.26711e-5i | ||||
\(327\) | −29.5700 | − | 27.4370i | −1.63523 | − | 1.51727i | ||||
\(328\) | 0.191268 | − | 0.0921098i | 0.0105610 | − | 0.00508591i | ||||
\(329\) | −1.24494 | − | 0.789547i | −0.0686356 | − | 0.0435291i | ||||
\(330\) | 0.363299 | + | 0.174955i | 0.0199989 | + | 0.00963098i | ||||
\(331\) | −4.30861 | − | 10.9782i | −0.236822 | − | 0.603414i | 0.762213 | − | 0.647326i | \(-0.224113\pi\) |
−0.999035 | + | 0.0439126i | \(0.986018\pi\) | |||||||
\(332\) | 1.51048 | + | 20.1560i | 0.0828985 | + | 1.10620i | ||||
\(333\) | −7.43744 | + | 2.29415i | −0.407569 | + | 0.125718i | ||||
\(334\) | 0.00412567 | − | 0.0550532i | 0.000225747 | − | 0.00301238i | ||||
\(335\) | −8.10372 | − | 35.5047i | −0.442753 | − | 1.93983i | ||||
\(336\) | −13.2687 | − | 30.7636i | −0.723869 | − | 1.67829i | ||||
\(337\) | −3.07026 | + | 13.4517i | −0.167248 | + | 0.732759i | 0.819842 | + | 0.572590i | \(0.194061\pi\) |
−0.987090 | + | 0.160169i | \(0.948796\pi\) | |||||||
\(338\) | 0.00861900 | + | 0.00265861i | 0.000468812 | + | 0.000144609i | ||||
\(339\) | 16.4928 | − | 42.0230i | 0.895767 | − | 2.28238i | ||||
\(340\) | −11.7455 | + | 10.8983i | −0.636991 | + | 0.591042i | ||||
\(341\) | −32.4813 | + | 22.1454i | −1.75896 | + | 1.19924i | ||||
\(342\) | −0.244202 | −0.0132049 | ||||||||
\(343\) | 17.4026 | + | 6.33627i | 0.939654 | + | 0.342126i | ||||
\(344\) | −0.184412 | −0.00994285 | ||||||||
\(345\) | 12.0255 | − | 8.19883i | 0.647430 | − | 0.441410i | ||||
\(346\) | 0.0148873 | − | 0.0138134i | 0.000800344 | − | 0.000742611i | ||||
\(347\) | −7.27550 | + | 18.5377i | −0.390570 | + | 0.995155i | 0.591444 | + | 0.806346i | \(0.298558\pi\) |
−0.982014 | + | 0.188809i | \(0.939537\pi\) | |||||||
\(348\) | 33.6873 | + | 10.3912i | 1.80583 | + | 0.557025i | ||||
\(349\) | 1.12165 | − | 4.91429i | 0.0600408 | − | 0.263056i | −0.935995 | − | 0.352015i | \(-0.885497\pi\) |
0.996035 | + | 0.0889586i | \(0.0283539\pi\) | |||||||
\(350\) | −0.00621208 | − | 0.0144027i | −0.000332050 | − | 0.000769857i | ||||
\(351\) | −2.83531 | − | 12.4223i | −0.151338 | − | 0.663053i | ||||
\(352\) | −0.0480147 | + | 0.640712i | −0.00255919 | + | 0.0341501i | ||||
\(353\) | 6.36159 | − | 1.96229i | 0.338593 | − | 0.104442i | −0.120796 | − | 0.992677i | \(-0.538545\pi\) |
0.459389 | + | 0.888235i | \(0.348068\pi\) | |||||||
\(354\) | −0.0166696 | − | 0.222441i | −0.000885981 | − | 0.0118226i | ||||
\(355\) | 6.84903 | + | 17.4511i | 0.363509 | + | 0.926206i | ||||
\(356\) | −12.4470 | − | 5.99414i | −0.659687 | − | 0.317689i | ||||
\(357\) | 23.8283 | + | 15.1120i | 1.26113 | + | 0.799814i | ||||
\(358\) | −0.173785 | + | 0.0836905i | −0.00918482 | + | 0.00442318i | ||||
\(359\) | −19.3908 | − | 17.9920i | −1.02341 | − | 0.949581i | −0.0246616 | − | 0.999696i | \(-0.507851\pi\) |
−0.998743 | + | 0.0501148i | \(0.984041\pi\) | |||||||
\(360\) | 0.596045 | + | 0.0898393i | 0.0314143 | + | 0.00473495i | ||||
\(361\) | 2.07212 | + | 3.58902i | 0.109059 | + | 0.188896i | ||||
\(362\) | 0.0702432 | − | 0.121665i | 0.00369190 | − | 0.00639456i | ||||
\(363\) | 47.8543 | − | 60.0074i | 2.51170 | − | 3.14957i | ||||
\(364\) | −4.84088 | − | 2.13626i | −0.253731 | − | 0.111971i | ||||
\(365\) | 19.1725 | + | 24.0416i | 1.00354 | + | 1.25839i | ||||
\(366\) | 0.324844 | − | 0.0489623i | 0.0169798 | − | 0.00255930i | ||||
\(367\) | 26.9017 | + | 18.3413i | 1.40426 | + | 0.957406i | 0.999068 | + | 0.0431726i | \(0.0137465\pi\) |
0.405189 | + | 0.914233i | \(0.367206\pi\) | |||||||
\(368\) | 6.38670 | + | 4.35438i | 0.332930 | + | 0.226988i | ||||
\(369\) | −40.8713 | + | 6.16036i | −2.12768 | + | 0.320696i | ||||
\(370\) | −0.0148210 | − | 0.0185849i | −0.000770506 | − | 0.000966184i | ||||
\(371\) | −11.3819 | + | 0.378093i | −0.590917 | + | 0.0196296i | ||||
\(372\) | −26.1439 | + | 32.7835i | −1.35550 | + | 1.69974i | ||||
\(373\) | −0.818840 | + | 1.41827i | −0.0423979 | + | 0.0734354i | −0.886446 | − | 0.462833i | \(-0.846833\pi\) |
0.844048 | + | 0.536268i | \(0.180166\pi\) | |||||||
\(374\) | −0.0901807 | − | 0.156197i | −0.00466313 | − | 0.00807678i | ||||
\(375\) | 32.3383 | + | 4.87421i | 1.66994 | + | 0.251703i | ||||
\(376\) | 0.0147362 | + | 0.0136732i | 0.000759961 | + | 0.000705140i | ||||
\(377\) | 5.01616 | − | 2.41566i | 0.258345 | − | 0.124413i | ||||
\(378\) | −0.0327776 | − | 0.302297i | −0.00168590 | − | 0.0155485i | ||||
\(379\) | 14.2647 | + | 6.86952i | 0.732729 | + | 0.352864i | 0.762757 | − | 0.646685i | \(-0.223845\pi\) |
−0.0300278 | + | 0.999549i | \(0.509560\pi\) | |||||||
\(380\) | 6.69826 | + | 17.0669i | 0.343613 | + | 0.875513i | ||||
\(381\) | 1.21581 | + | 16.2239i | 0.0622879 | + | 0.831174i | ||||
\(382\) | −0.0269456 | + | 0.00831161i | −0.00137866 | + | 0.000425259i | ||||
\(383\) | −0.762042 | + | 10.1687i | −0.0389385 | + | 0.519599i | 0.943297 | + | 0.331949i | \(0.107706\pi\) |
−0.982236 | + | 0.187650i | \(0.939913\pi\) | |||||||
\(384\) | 0.203329 | + | 0.890841i | 0.0103761 | + | 0.0454606i | ||||
\(385\) | −36.7353 | + | 6.79127i | −1.87220 | + | 0.346115i | ||||
\(386\) | −0.00350303 | + | 0.0153478i | −0.000178299 | + | 0.000781181i | ||||
\(387\) | 34.3098 | + | 10.5832i | 1.74407 | + | 0.537973i | ||||
\(388\) | −3.12561 | + | 7.96393i | −0.158679 | + | 0.404307i | ||||
\(389\) | 10.6887 | − | 9.91765i | 0.541938 | − | 0.502845i | −0.361029 | − | 0.932554i | \(-0.617575\pi\) |
0.902967 | + | 0.429710i | \(0.141384\pi\) | |||||||
\(390\) | 0.0561218 | − | 0.0382632i | 0.00284184 | − | 0.00193753i | ||||
\(391\) | −6.51007 | −0.329229 | ||||||||
\(392\) | −0.217645 | − | 0.128103i | −0.0109928 | − | 0.00647019i | ||||
\(393\) | 71.4603 | 3.60470 | ||||||||
\(394\) | −0.137859 | + | 0.0939910i | −0.00694526 | + | 0.00473520i | ||||
\(395\) | −3.26313 | + | 3.02775i | −0.164186 | + | 0.152342i | ||||
\(396\) | 30.4683 | − | 77.6319i | 1.53109 | − | 3.90115i | ||||
\(397\) | 4.04985 | + | 1.24921i | 0.203256 | + | 0.0626962i | 0.394711 | − | 0.918805i | \(-0.370845\pi\) |
−0.191455 | + | 0.981501i | \(0.561321\pi\) | |||||||
\(398\) | 0.0362755 | − | 0.158933i | 0.00181832 | − | 0.00796660i | ||||
\(399\) | 26.0581 | − | 19.0635i | 1.30454 | − | 0.954367i | ||||
\(400\) | −0.584963 | − | 2.56289i | −0.0292481 | − | 0.128144i | ||||
\(401\) | 2.00410 | − | 26.7428i | 0.100080 | − | 1.33547i | −0.690598 | − | 0.723239i | \(-0.742652\pi\) |
0.790678 | − | 0.612233i | \(-0.209728\pi\) | |||||||
\(402\) | 0.417826 | − | 0.128882i | 0.0208393 | − | 0.00642806i | ||||
\(403\) | 0.494875 | + | 6.60365i | 0.0246515 | + | 0.328951i | ||||
\(404\) | 2.57454 | + | 6.55981i | 0.128088 | + | 0.326363i | ||||
\(405\) | −41.2925 | − | 19.8854i | −2.05184 | − | 0.988113i | ||||
\(406\) | 0.125590 | − | 0.0433556i | 0.00623293 | − | 0.00215170i | ||||
\(407\) | −5.92637 | + | 2.85399i | −0.293759 | + | 0.141467i | ||||
\(408\) | −0.282053 | − | 0.261707i | −0.0139637 | − | 0.0129564i | ||||
\(409\) | −13.2785 | − | 2.00141i | −0.656578 | − | 0.0989632i | −0.187700 | − | 0.982226i | \(-0.560103\pi\) |
−0.468878 | + | 0.883263i | \(0.655341\pi\) | |||||||
\(410\) | −0.0631182 | − | 0.109324i | −0.00311719 | − | 0.00539913i | ||||
\(411\) | −30.5383 | + | 52.8939i | −1.50634 | + | 2.60906i | ||||
\(412\) | 1.10972 | − | 1.39154i | 0.0546718 | − | 0.0685562i | ||||
\(413\) | 13.4144 | + | 15.7207i | 0.660079 | + | 0.773563i | ||||
\(414\) | 0.0763475 | + | 0.0957368i | 0.00375228 | + | 0.00470520i | ||||
\(415\) | 23.7702 | − | 3.58279i | 1.16684 | − | 0.175872i | ||||
\(416\) | 0.0894245 | + | 0.0609686i | 0.00438439 | + | 0.00298923i | ||||
\(417\) | −38.7353 | − | 26.4093i | −1.89688 | − | 1.29327i | ||||
\(418\) | −0.204075 | + | 0.0307594i | −0.00998165 | + | 0.00150449i | ||||
\(419\) | 10.1493 | + | 12.7268i | 0.495826 | + | 0.621746i | 0.965282 | − | 0.261210i | \(-0.0841215\pi\) |
−0.469456 | + | 0.882956i | \(0.655550\pi\) | |||||||
\(420\) | −35.3070 | + | 18.4713i | −1.72280 | + | 0.901307i | ||||
\(421\) | 16.2148 | − | 20.3327i | 0.790260 | − | 0.990954i | −0.209654 | − | 0.977776i | \(-0.567234\pi\) |
0.999913 | − | 0.0131784i | \(-0.00419493\pi\) | |||||||
\(422\) | −0.0358401 | + | 0.0620768i | −0.00174467 | + | 0.00302185i | ||||
\(423\) | −1.95697 | − | 3.38958i | −0.0951513 | − | 0.164807i | ||||
\(424\) | 0.153557 | + | 0.0231450i | 0.00745739 | + | 0.00112402i | ||||
\(425\) | 1.62296 | + | 1.50588i | 0.0787250 | + | 0.0730461i | ||||
\(426\) | −0.202796 | + | 0.0976613i | −0.00982549 | + | 0.00473170i | ||||
\(427\) | −21.6111 | + | 21.4307i | −1.04584 | + | 1.03710i | ||||
\(428\) | 15.3649 | + | 7.39936i | 0.742692 | + | 0.357662i | ||||
\(429\) | −6.86682 | − | 17.4964i | −0.331533 | − | 0.844733i | ||||
\(430\) | 0.00819480 | + | 0.109352i | 0.000395188 | + | 0.00527342i | ||||
\(431\) | 24.5648 | − | 7.57723i | 1.18324 | − | 0.364982i | 0.360153 | − | 0.932893i | \(-0.382724\pi\) |
0.823090 | + | 0.567911i | \(0.192248\pi\) | |||||||
\(432\) | 3.80831 | − | 50.8183i | 0.183227 | − | 2.44500i | ||||
\(433\) | 0.456559 | + | 2.00032i | 0.0219408 | + | 0.0961290i | 0.984713 | − | 0.174186i | \(-0.0557293\pi\) |
−0.962772 | + | 0.270315i | \(0.912872\pi\) | |||||||
\(434\) | −0.00657111 | + | 0.157894i | −0.000315423 | + | 0.00757917i | ||||
\(435\) | 9.32965 | − | 40.8759i | 0.447322 | − | 1.95985i | ||||
\(436\) | −24.3481 | − | 7.51038i | −1.16606 | − | 0.359682i | ||||
\(437\) | −2.72151 | + | 6.93429i | −0.130187 | + | 0.331712i | ||||
\(438\) | −0.270647 | + | 0.251123i | −0.0129320 | + | 0.0119991i | ||||
\(439\) | −6.84553 | + | 4.66721i | −0.326720 | + | 0.222754i | −0.715560 | − | 0.698552i | \(-0.753828\pi\) |
0.388840 | + | 0.921305i | \(0.372876\pi\) | |||||||
\(440\) | 0.509420 | 0.0242857 | ||||||||
\(441\) | 33.1411 | + | 36.3239i | 1.57815 | + | 1.72971i | ||||
\(442\) | −0.0303819 | −0.00144512 | ||||||||
\(443\) | 12.5355 | − | 8.54654i | 0.595578 | − | 0.406058i | −0.227671 | − | 0.973738i | \(-0.573111\pi\) |
0.823249 | + | 0.567680i | \(0.192159\pi\) | |||||||
\(444\) | −5.14312 | + | 4.77212i | −0.244082 | + | 0.226475i | ||||
\(445\) | −6.00265 | + | 15.2945i | −0.284553 | + | 0.725029i | ||||
\(446\) | 0.154183 | + | 0.0475593i | 0.00730079 | + | 0.00225200i | ||||
\(447\) | −9.44339 | + | 41.3742i | −0.446657 | + | 1.95693i | ||||
\(448\) | −15.9813 | − | 13.8701i | −0.755046 | − | 0.655300i | ||||
\(449\) | −4.20638 | − | 18.4294i | −0.198511 | − | 0.869735i | −0.971824 | − | 0.235710i | \(-0.924259\pi\) |
0.773312 | − | 0.634025i | \(-0.218599\pi\) | |||||||
\(450\) | 0.00311206 | − | 0.0415275i | 0.000146704 | − | 0.00195763i | ||||
\(451\) | −33.3795 | + | 10.2962i | −1.57178 | + | 0.484830i | ||||
\(452\) | −2.13096 | − | 28.4357i | −0.100232 | − | 1.33750i | ||||
\(453\) | −14.6518 | − | 37.3322i | −0.688401 | − | 1.75402i | ||||
\(454\) | −0.0399721 | − | 0.0192496i | −0.00187599 | − | 0.000903427i | ||||
\(455\) | −2.10331 | + | 5.93102i | −0.0986048 | + | 0.278051i | ||||
\(456\) | −0.396671 | + | 0.191027i | −0.0185758 | + | 0.00894564i | ||||
\(457\) | 22.0046 | + | 20.4173i | 1.02933 | + | 0.955082i | 0.999011 | − | 0.0444583i | \(-0.0141562\pi\) |
0.0303222 | + | 0.999540i | \(0.490347\pi\) | |||||||
\(458\) | −0.0805047 | − | 0.0121341i | −0.00376174 | − | 0.000566991i | ||||
\(459\) | 21.4596 | + | 37.1691i | 1.00165 | + | 1.73491i | ||||
\(460\) | 4.59674 | − | 7.96179i | 0.214324 | − | 0.371220i | ||||
\(461\) | −4.32704 | + | 5.42594i | −0.201530 | + | 0.252711i | −0.872319 | − | 0.488938i | \(-0.837385\pi\) |
0.670788 | + | 0.741649i | \(0.265956\pi\) | |||||||
\(462\) | −0.114272 | − | 0.433737i | −0.00531644 | − | 0.0201793i | ||||
\(463\) | 3.52429 | + | 4.41932i | 0.163788 | + | 0.205383i | 0.856952 | − | 0.515397i | \(-0.172355\pi\) |
−0.693164 | + | 0.720780i | \(0.743784\pi\) | |||||||
\(464\) | 22.0186 | − | 3.31878i | 1.02219 | − | 0.154070i | ||||
\(465\) | 41.2039 | + | 28.0924i | 1.91079 | + | 1.30275i | ||||
\(466\) | −0.0599103 | − | 0.0408461i | −0.00277529 | − | 0.00189216i | ||||
\(467\) | −14.4035 | + | 2.17098i | −0.666516 | + | 0.100461i | −0.473581 | − | 0.880750i | \(-0.657039\pi\) |
−0.192935 | + | 0.981212i | \(0.561801\pi\) | |||||||
\(468\) | −8.75892 | − | 10.9833i | −0.404881 | − | 0.507705i | ||||
\(469\) | −24.1919 | + | 32.4928i | −1.11708 | + | 1.50038i | ||||
\(470\) | 0.00745302 | − | 0.00934579i | 0.000343782 | − | 0.000431089i | ||||
\(471\) | −35.8029 | + | 62.0125i | −1.64971 | + | 2.85739i | ||||
\(472\) | −0.140904 | − | 0.244052i | −0.00648562 | − | 0.0112334i | ||||
\(473\) | 30.0052 | + | 4.52255i | 1.37964 | + | 0.207947i | ||||
\(474\) | −0.0391790 | − | 0.0363528i | −0.00179955 | − | 0.00166974i | ||||
\(475\) | 2.28248 | − | 1.09919i | 0.104727 | − | 0.0504341i | ||||
\(476\) | 17.7025 | + | 2.06980i | 0.811394 | + | 0.0948693i | ||||
\(477\) | −27.2410 | − | 13.1186i | −1.24728 | − | 0.600657i | ||||
\(478\) | −0.0598797 | − | 0.152571i | −0.00273883 | − | 0.00697843i | ||||
\(479\) | 1.64959 | + | 22.0123i | 0.0753717 | + | 1.00577i | 0.898804 | + | 0.438351i | \(0.144437\pi\) |
−0.823432 | + | 0.567415i | \(0.807944\pi\) | |||||||
\(480\) | 0.778838 | − | 0.240240i | 0.0355489 | − | 0.0109654i | ||||
\(481\) | −0.0828030 | + | 1.10493i | −0.00377549 | + | 0.0503805i | ||||
\(482\) | −0.000774314 | − | 0.00339249i | −3.52690e−5 | − | 0.000154524i | ||||
\(483\) | −15.6205 | − | 4.25577i | −0.710755 | − | 0.193644i | ||||
\(484\) | 10.7881 | − | 47.2658i | 0.490369 | − | 2.14845i | ||||
\(485\) | 9.72281 | + | 2.99909i | 0.441490 | + | 0.136182i | ||||
\(486\) | 0.0750750 | − | 0.191288i | 0.00340547 | − | 0.00867700i | ||||
\(487\) | 16.3953 | − | 15.2126i | 0.742941 | − | 0.689348i | −0.214904 | − | 0.976635i | \(-0.568944\pi\) |
0.957845 | + | 0.287287i | \(0.0927533\pi\) | |||||||
\(488\) | 0.342910 | − | 0.233792i | 0.0155228 | − | 0.0105833i | ||||
\(489\) | −3.51552 | −0.158977 | ||||||||
\(490\) | −0.0662905 | + | 0.134751i | −0.00299470 | + | 0.00608743i | ||||
\(491\) | 20.3048 | 0.916343 | 0.458171 | − | 0.888864i | \(-0.348505\pi\) | ||||
0.458171 | + | 0.888864i | \(0.348505\pi\) | |||||||
\(492\) | −30.7847 | + | 20.9887i | −1.38788 | + | 0.946242i | ||||
\(493\) | −13.7473 | + | 12.7557i | −0.619149 | + | 0.574486i | ||||
\(494\) | −0.0127010 | + | 0.0323617i | −0.000571446 | + | 0.00145602i | ||||
\(495\) | −94.7774 | − | 29.2349i | −4.25993 | − | 1.31401i | ||||
\(496\) | −5.89356 | + | 25.8214i | −0.264629 | + | 1.15941i | ||||
\(497\) | 9.82134 | − | 18.3958i | 0.440548 | − | 0.825162i | ||||
\(498\) | 0.0642245 | + | 0.281386i | 0.00287797 | + | 0.0126092i | ||||
\(499\) | 0.204319 | − | 2.72644i | 0.00914655 | − | 0.122052i | −0.990761 | − | 0.135616i | \(-0.956699\pi\) |
0.999908 | + | 0.0135639i | \(0.00431765\pi\) | |||||||
\(500\) | 19.7398 | − | 6.08891i | 0.882789 | − | 0.272304i | ||||
\(501\) | 1.44821 | + | 19.3250i | 0.0647011 | + | 0.863376i | ||||
\(502\) | −0.0245657 | − | 0.0625923i | −0.00109642 | − | 0.00279363i | ||||
\(503\) | −17.9468 | − | 8.64271i | −0.800207 | − | 0.385360i | −0.0113498 | − | 0.999936i | \(-0.503613\pi\) |
−0.788858 | + | 0.614576i | \(0.789327\pi\) | |||||||
\(504\) | −0.354346 | − | 0.569224i | −0.0157838 | − | 0.0253552i | ||||
\(505\) | 7.55096 | − | 3.63635i | 0.336013 | − | 0.161815i | ||||
\(506\) | 0.0758612 | + | 0.0703889i | 0.00337244 | + | 0.00312917i | ||||
\(507\) | −3.13077 | − | 0.471887i | −0.139042 | − | 0.0209573i | ||||
\(508\) | 5.13835 | + | 8.89989i | 0.227978 | + | 0.394869i | ||||
\(509\) | −4.60702 | + | 7.97959i | −0.204202 | + | 0.353689i | −0.949878 | − | 0.312620i | \(-0.898793\pi\) |
0.745676 | + | 0.666309i | \(0.232127\pi\) | |||||||
\(510\) | −0.142652 | + | 0.178880i | −0.00631673 | + | 0.00792093i | ||||
\(511\) | 6.50006 | − | 33.5821i | 0.287546 | − | 1.48559i | ||||
\(512\) | 0.449823 | + | 0.564060i | 0.0198796 | + | 0.0249282i | ||||
\(513\) | 48.5622 | − | 7.31958i | 2.14407 | − | 0.323167i | ||||
\(514\) | 0.118811 | + | 0.0810037i | 0.00524051 | + | 0.00357292i | ||||
\(515\) | −1.74896 | − | 1.19242i | −0.0770683 | − | 0.0525443i | ||||
\(516\) | 32.0044 | − | 4.82388i | 1.40891 | − | 0.212360i | ||||
\(517\) | −2.06236 | − | 2.58611i | −0.0907023 | − | 0.113737i | ||||
\(518\) | −0.00502476 | + | 0.0259601i | −0.000220775 | + | 0.00114062i | ||||
\(519\) | −4.44473 | + | 5.57352i | −0.195102 | + | 0.244650i | ||||
\(520\) | 0.0429060 | − | 0.0743154i | 0.00188155 | − | 0.00325894i | ||||
\(521\) | −8.21209 | − | 14.2238i | −0.359778 | − | 0.623154i | 0.628145 | − | 0.778096i | \(-0.283814\pi\) |
−0.987924 | + | 0.154942i | \(0.950481\pi\) | |||||||
\(522\) | 0.348807 | + | 0.0525742i | 0.0152669 | + | 0.00230111i | ||||
\(523\) | 29.7689 | + | 27.6215i | 1.30170 | + | 1.20780i | 0.963801 | + | 0.266623i | \(0.0859080\pi\) |
0.337903 | + | 0.941181i | \(0.390283\pi\) | |||||||
\(524\) | 40.6685 | − | 19.5849i | 1.77661 | − | 0.855571i | ||||
\(525\) | 2.90974 | + | 4.67422i | 0.126992 | + | 0.204000i | ||||
\(526\) | −0.113010 | − | 0.0544228i | −0.00492747 | − | 0.00237295i | ||||
\(527\) | −8.14931 | − | 20.7641i | −0.354989 | − | 0.904498i | ||||
\(528\) | −5.61772 | − | 74.9632i | −0.244480 | − | 3.26235i | ||||
\(529\) | −18.4088 | + | 5.67836i | −0.800383 | + | 0.246885i | ||||
\(530\) | 0.00690075 | − | 0.0920841i | 0.000299749 | − | 0.00399988i | ||||
\(531\) | 12.2092 | + | 53.4921i | 0.529835 | + | 2.32136i | ||||
\(532\) | 9.60514 | − | 17.9908i | 0.416436 | − | 0.780000i | ||||
\(533\) | −1.30936 | + | 5.73668i | −0.0567147 | + | 0.248483i | ||||
\(534\) | −0.188507 | − | 0.0581466i | −0.00815748 | − | 0.00251625i | ||||
\(535\) | 7.40987 | − | 18.8801i | 0.320357 | − | 0.816256i | ||||
\(536\) | 0.404938 | − | 0.375727i | 0.0174907 | − | 0.0162290i | ||||
\(537\) | 55.9428 | − | 38.1411i | 2.41411 | − | 1.64591i | ||||
\(538\) | 0.0684407 | 0.00295069 | ||||||||
\(539\) | 32.2708 | + | 26.1809i | 1.39000 | + | 1.12769i | ||||
\(540\) | −60.6102 | −2.60825 | ||||||||
\(541\) | −12.5619 | + | 8.56459i | −0.540080 | + | 0.368220i | −0.802424 | − | 0.596754i | \(-0.796457\pi\) |
0.262344 | + | 0.964974i | \(0.415504\pi\) | |||||||
\(542\) | −0.0603372 | + | 0.0559847i | −0.00259170 | + | 0.00240475i | ||||
\(543\) | −18.0164 | + | 45.9051i | −0.773159 | + | 1.96998i | ||||
\(544\) | −0.348367 | − | 0.107457i | −0.0149361 | − | 0.00460718i | ||||
\(545\) | −6.74315 | + | 29.5437i | −0.288845 | + | 1.26551i | ||||
\(546\) | −0.0728992 | − | 0.0198613i | −0.00311980 | − | 0.000849984i | ||||
\(547\) | 3.44293 | + | 15.0845i | 0.147209 | + | 0.644965i | 0.993653 | + | 0.112488i | \(0.0358819\pi\) |
−0.846444 | + | 0.532478i | \(0.821261\pi\) | |||||||
\(548\) | −2.88306 | + | 38.4718i | −0.123158 | + | 1.64343i | ||||
\(549\) | −77.2152 | + | 23.8177i | −3.29546 | + | 1.01652i | ||||
\(550\) | −0.00263007 | − | 0.0350958i | −0.000112147 | − | 0.00149649i | ||||
\(551\) | 7.83984 | + | 19.9756i | 0.333989 | + | 0.850989i | ||||
\(552\) | 0.198905 | + | 0.0957878i | 0.00846598 | + | 0.00407700i | ||||
\(553\) | 4.91810 | + | 0.575031i | 0.209139 | + | 0.0244528i | ||||
\(554\) | −0.157959 | + | 0.0760690i | −0.00671103 | + | 0.00323186i | ||||
\(555\) | 6.11672 | + | 5.67548i | 0.259640 | + | 0.240911i | ||||
\(556\) | −29.2824 | − | 4.41361i | −1.24185 | − | 0.187179i | ||||
\(557\) | −17.0111 | − | 29.4641i | −0.720783 | − | 1.24843i | −0.960687 | − | 0.277635i | \(-0.910449\pi\) |
0.239904 | − | 0.970797i | \(-0.422884\pi\) | |||||||
\(558\) | −0.209784 | + | 0.363356i | −0.00888086 | + | 0.0153821i | ||||
\(559\) | 3.18695 | − | 3.99631i | 0.134794 | − | 0.169026i | ||||
\(560\) | −15.0304 | + | 20.1878i | −0.635152 | + | 0.853090i | ||||
\(561\) | 39.4738 | + | 49.4986i | 1.66658 | + | 2.08983i | ||||
\(562\) | 0.163594 | − | 0.0246578i | 0.00690079 | − | 0.00104013i | ||||
\(563\) | −18.5011 | − | 12.6139i | −0.779729 | − | 0.531610i | 0.106801 | − | 0.994280i | \(-0.465939\pi\) |
−0.886531 | + | 0.462670i | \(0.846891\pi\) | |||||||
\(564\) | −2.91510 | − | 1.98748i | −0.122748 | − | 0.0836880i | ||||
\(565\) | −33.5346 | + | 5.05453i | −1.41081 | + | 0.212646i | ||||
\(566\) | 0.176775 | + | 0.221669i | 0.00743042 | + | 0.00931745i | ||||
\(567\) | 12.9882 | + | 49.2985i | 0.545452 | + | 2.07034i | ||||
\(568\) | −0.177297 | + | 0.222323i | −0.00743920 | + | 0.00932847i | ||||
\(569\) | −5.26935 | + | 9.12678i | −0.220903 | + | 0.382615i | −0.955082 | − | 0.296341i | \(-0.904234\pi\) |
0.734180 | + | 0.678955i | \(0.237567\pi\) | |||||||
\(570\) | 0.130901 | + | 0.226727i | 0.00548284 | + | 0.00949656i | ||||
\(571\) | 5.42992 | + | 0.818428i | 0.227235 | + | 0.0342502i | 0.261673 | − | 0.965157i | \(-0.415726\pi\) |
−0.0344377 | + | 0.999407i | \(0.510964\pi\) | |||||||
\(572\) | −8.70313 | − | 8.07532i | −0.363896 | − | 0.337646i | ||||
\(573\) | 8.91804 | − | 4.29470i | 0.372556 | − | 0.179414i | ||||
\(574\) | −0.0469333 | + | 0.132345i | −0.00195896 | + | 0.00552397i | ||||
\(575\) | −1.14452 | − | 0.551172i | −0.0477298 | − | 0.0229855i | ||||
\(576\) | −20.5254 | − | 52.2978i | −0.855224 | − | 2.17908i | ||||
\(577\) | 0.517356 | + | 6.90364i | 0.0215378 | + | 0.287402i | 0.997564 | + | 0.0697510i | \(0.0222205\pi\) |
−0.976027 | + | 0.217651i | \(0.930160\pi\) | |||||||
\(578\) | −0.0487315 | + | 0.0150317i | −0.00202696 | + | 0.000625235i | ||||
\(579\) | 0.412956 | − | 5.51052i | 0.0171619 | − | 0.229009i | ||||
\(580\) | −5.89317 | − | 25.8196i | −0.244700 | − | 1.07210i | ||||
\(581\) | −20.1946 | − | 17.5268i | −0.837815 | − | 0.727135i | ||||
\(582\) | −0.0271842 | + | 0.119102i | −0.00112682 | + | 0.00493694i | ||||
\(583\) | −24.4172 | − | 7.53171i | −1.01126 | − | 0.311931i | ||||
\(584\) | −0.170407 | + | 0.434191i | −0.00705151 | + | 0.0179670i | ||||
\(585\) | −12.2475 | + | 11.3640i | −0.506372 | + | 0.469844i | ||||
\(586\) | −0.111513 | + | 0.0760284i | −0.00460657 | + | 0.00314070i | ||||
\(587\) | 8.49721 | 0.350717 | 0.175359 | − | 0.984505i | \(-0.443891\pi\) | ||||
0.175359 | + | 0.984505i | \(0.443891\pi\) | |||||||
\(588\) | 41.1228 | + | 16.5388i | 1.69588 | + | 0.682050i | ||||
\(589\) | −25.5239 | −1.05170 | ||||||||
\(590\) | −0.138456 | + | 0.0943975i | −0.00570013 | + | 0.00388628i | ||||
\(591\) | 42.9340 | − | 39.8369i | 1.76607 | − | 1.63867i | ||||
\(592\) | −1.61903 | + | 4.12523i | −0.0665419 | + | 0.169546i | ||||
\(593\) | −15.2397 | − | 4.70081i | −0.625818 | − | 0.193039i | −0.0344048 | − | 0.999408i | \(-0.510954\pi\) |
−0.591413 | + | 0.806369i | \(0.701430\pi\) | |||||||
\(594\) | 0.151817 | − | 0.665155i | 0.00622914 | − | 0.0272917i | ||||
\(595\) | 0.881397 | − | 21.1787i | 0.0361337 | − | 0.868242i | ||||
\(596\) | 5.96501 | + | 26.1344i | 0.244336 | + | 1.07051i | ||||
\(597\) | −4.27635 | + | 57.0640i | −0.175019 | + | 2.33547i | ||||
\(598\) | 0.0166579 | − | 0.00513829i | 0.000681193 | − | 0.000210120i | ||||
\(599\) | 0.110921 | + | 1.48014i | 0.00453213 | + | 0.0604771i | 0.999011 | − | 0.0444572i | \(-0.0141558\pi\) |
−0.994479 | + | 0.104934i | \(0.966537\pi\) | |||||||
\(600\) | −0.0274298 | − | 0.0698899i | −0.00111982 | − | 0.00285324i | ||||
\(601\) | −11.2704 | − | 5.42756i | −0.459731 | − | 0.221395i | 0.189660 | − | 0.981850i | \(-0.439262\pi\) |
−0.649390 | + | 0.760455i | \(0.724976\pi\) | |||||||
\(602\) | 0.0866137 | − | 0.0858903i | 0.00353011 | − | 0.00350063i | ||||
\(603\) | −96.9009 | + | 46.6650i | −3.94611 | + | 1.90035i | ||||
\(604\) | −18.5699 | − | 17.2304i | −0.755600 | − | 0.701094i | ||||
\(605\) | −57.0149 | − | 8.59361i | −2.31799 | − | 0.349380i | ||||
\(606\) | 0.0503130 | + | 0.0871447i | 0.00204383 | + | 0.00354001i | ||||
\(607\) | 11.9219 | − | 20.6494i | 0.483896 | − | 0.838132i | −0.515933 | − | 0.856629i | \(-0.672555\pi\) |
0.999829 | + | 0.0184968i | \(0.00588803\pi\) | |||||||
\(608\) | −0.260092 | + | 0.326145i | −0.0105481 | + | 0.0132269i | ||||
\(609\) | −41.3244 | + | 21.6194i | −1.67455 | + | 0.876061i | ||||
\(610\) | −0.153871 | − | 0.192948i | −0.00623005 | − | 0.00781223i | ||||
\(611\) | −0.550970 | + | 0.0830454i | −0.0222899 | + | 0.00335966i | ||||
\(612\) | 39.0975 | + | 26.6562i | 1.58042 | + | 1.07751i | ||||
\(613\) | −19.7671 | − | 13.4770i | −0.798387 | − | 0.544331i | 0.0940156 | − | 0.995571i | \(-0.470030\pi\) |
−0.892403 | + | 0.451239i | \(0.850982\pi\) | |||||||
\(614\) | 0.0858516 | − | 0.0129400i | 0.00346469 | − | 0.000522218i | ||||
\(615\) | 27.6281 | + | 34.6445i | 1.11407 | + | 1.39700i | ||||
\(616\) | −0.367820 | − | 0.431057i | −0.0148199 | − | 0.0173678i | ||||
\(617\) | −15.3277 | + | 19.2204i | −0.617072 | + | 0.773783i | −0.987929 | − | 0.154906i | \(-0.950492\pi\) |
0.370858 | + | 0.928690i | \(0.379064\pi\) | |||||||
\(618\) | 0.0127076 | − | 0.0220101i | 0.000511173 | − | 0.000885377i | ||||
\(619\) | −1.99818 | − | 3.46094i | −0.0803135 | − | 0.139107i | 0.823071 | − | 0.567938i | \(-0.192259\pi\) |
−0.903385 | + | 0.428831i | \(0.858925\pi\) | |||||||
\(620\) | 31.1486 | + | 4.69489i | 1.25096 | + | 0.188551i | ||||
\(621\) | −18.0521 | − | 16.7499i | −0.724406 | − | 0.672150i | ||||
\(622\) | 0.0984939 | − | 0.0474322i | 0.00394925 | − | 0.00190186i | ||||
\(623\) | 17.2759 | − | 5.96391i | 0.692145 | − | 0.238939i | ||||
\(624\) | −11.4090 | − | 5.49426i | −0.456724 | − | 0.219947i | ||||
\(625\) | −10.1763 | − | 25.9289i | −0.407054 | − | 1.03716i | ||||
\(626\) | −0.0130861 | − | 0.174622i | −0.000523027 | − | 0.00697931i | ||||
\(627\) | 69.2259 | − | 21.3533i | 2.76461 | − | 0.852771i | ||||
\(628\) | −3.38008 | + | 45.1041i | −0.134880 | + | 1.79985i | ||||
\(629\) | −0.830508 | − | 3.63869i | −0.0331145 | − | 0.145084i | ||||
\(630\) | −0.321789 | + | 0.235413i | −0.0128204 | + | 0.00937909i | ||||
\(631\) | 9.39847 | − | 41.1774i | 0.374147 | − | 1.63925i | −0.340850 | − | 0.940118i | \(-0.610715\pi\) |
0.714997 | − | 0.699127i | \(-0.246428\pi\) | |||||||
\(632\) | −0.0645215 | − | 0.0199022i | −0.00256653 | − | 0.000791669i | ||||
\(633\) | 9.19249 | − | 23.4221i | 0.365369 | − | 0.930945i | ||||
\(634\) | −0.0671716 | + | 0.0623262i | −0.00266773 | + | 0.00247529i | ||||
\(635\) | 10.0984 | − | 6.88495i | 0.400741 | − | 0.273221i | ||||
\(636\) | −27.2549 | −1.08073 | ||||||||
\(637\) | 6.53733 | − | 2.50265i | 0.259019 | − | 0.0991586i | ||||
\(638\) | 0.298114 | 0.0118025 | ||||||||
\(639\) | 45.7448 | − | 31.1882i | 1.80963 | − | 1.23379i | ||||
\(640\) | 0.503196 | − | 0.466898i | 0.0198906 | − | 0.0184558i | ||||
\(641\) | 9.82875 | − | 25.0433i | 0.388212 | − | 0.989149i | −0.594514 | − | 0.804085i | \(-0.702656\pi\) |
0.982726 | − | 0.185064i | \(-0.0592492\pi\) | |||||||
\(642\) | 0.232699 | + | 0.0717781i | 0.00918389 | + | 0.00283286i | ||||
\(643\) | −3.94546 | + | 17.2862i | −0.155594 | + | 0.681700i | 0.835607 | + | 0.549328i | \(0.185116\pi\) |
−0.991200 | + | 0.132372i | \(0.957741\pi\) | |||||||
\(644\) | −10.0561 | + | 1.85907i | −0.396264 | + | 0.0732575i | ||||
\(645\) | −8.56544 | − | 37.5276i | −0.337264 | − | 1.47765i | ||||
\(646\) | 0.00875101 | − | 0.116774i | 0.000344304 | − | 0.00459441i | ||||
\(647\) | 9.68024 | − | 2.98596i | 0.380570 | − | 0.117390i | −0.0985673 | − | 0.995130i | \(-0.531426\pi\) |
0.479137 | + | 0.877740i | \(0.340950\pi\) | |||||||
\(648\) | −0.0519513 | − | 0.693242i | −0.00204084 | − | 0.0272331i | ||||
\(649\) | 16.9408 | + | 43.1646i | 0.664986 | + | 1.69436i | ||||
\(650\) | −0.00534138 | − | 0.00257227i | −0.000209506 | − | 0.000100893i | ||||
\(651\) | −5.97976 | − | 55.1493i | −0.234365 | − | 2.16147i | ||||
\(652\) | −2.00070 | + | 0.963487i | −0.0783535 | + | 0.0377331i | ||||
\(653\) | −26.1321 | − | 24.2470i | −1.02263 | − | 0.948859i | −0.0239210 | − | 0.999714i | \(-0.507615\pi\) |
−0.998706 | + | 0.0508546i | \(0.983806\pi\) | |||||||
\(654\) | −0.359776 | − | 0.0542275i | −0.0140684 | − | 0.00212046i | ||||
\(655\) | −26.8417 | − | 46.4912i | −1.04879 | − | 1.81656i | ||||
\(656\) | −11.7670 | + | 20.3810i | −0.459423 | + | 0.795745i | ||||
\(657\) | 56.6219 | − | 71.0016i | 2.20903 | − | 2.77003i | ||||
\(658\) | −0.0132895 | 0.000441463i | −0.000518079 | 1.72100e-5i | ||||||
\(659\) | 24.8564 | + | 31.1689i | 0.968268 | + | 1.21417i | 0.976789 | + | 0.214205i | \(0.0687162\pi\) |
−0.00852102 | + | 0.999964i | \(0.502712\pi\) | |||||||
\(660\) | −88.4088 | + | 13.3255i | −3.44131 | + | 0.518694i | ||||
\(661\) | −9.52798 | − | 6.49606i | −0.370595 | − | 0.252668i | 0.363673 | − | 0.931527i | \(-0.381522\pi\) |
−0.734269 | + | 0.678859i | \(0.762475\pi\) | |||||||
\(662\) | −0.0878895 | − | 0.0599220i | −0.00341592 | − | 0.00232894i | ||||
\(663\) | 10.5456 | − | 1.58950i | 0.409559 | − | 0.0617311i | ||||
\(664\) | 0.227343 | + | 0.285079i | 0.00882261 | + | 0.0110632i | ||||
\(665\) | −22.1903 | − | 9.79249i | −0.860503 | − | 0.379737i | ||||
\(666\) | −0.0437705 | + | 0.0548865i | −0.00169607 | + | 0.00212681i | ||||
\(667\) | 5.38016 | − | 9.31872i | 0.208321 | − | 0.360822i | ||||
\(668\) | 6.12052 | + | 10.6011i | 0.236810 | + | 0.410167i | ||||
\(669\) | −56.0056 | − | 8.44149i | −2.16530 | − | 0.326367i | ||||
\(670\) | −0.240791 | − | 0.223422i | −0.00930258 | − | 0.00863154i | ||||
\(671\) | −61.5274 | + | 29.6300i | −2.37524 | + | 1.14385i | ||||
\(672\) | −0.765634 | − | 0.485569i | −0.0295350 | − | 0.0187312i | ||||
\(673\) | 9.27819 | + | 4.46814i | 0.357648 | + | 0.172234i | 0.604076 | − | 0.796927i | \(-0.293542\pi\) |
−0.246428 | + | 0.969161i | \(0.579257\pi\) | |||||||
\(674\) | 0.0454669 | + | 0.115848i | 0.00175132 | + | 0.00446229i | ||||
\(675\) | 0.625857 | + | 8.35148i | 0.0240892 | + | 0.321449i | ||||
\(676\) | −1.91107 | + | 0.589486i | −0.0735026 | + | 0.0226726i | ||||
\(677\) | −1.40020 | + | 18.6844i | −0.0538141 | + | 0.718099i | 0.903415 | + | 0.428767i | \(0.141052\pi\) |
−0.957229 | + | 0.289331i | \(0.906567\pi\) | |||||||
\(678\) | −0.0906067 | − | 0.396974i | −0.00347973 | − | 0.0152457i | ||||
\(679\) | −4.48248 | − | 10.3926i | −0.172022 | − | 0.398832i | ||||
\(680\) | −0.0643193 | + | 0.281801i | −0.00246653 | + | 0.0108066i | ||||
\(681\) | 14.8815 | + | 4.59034i | 0.570261 | + | 0.175902i | ||||
\(682\) | −0.129545 | + | 0.330075i | −0.00496053 | + | 0.0126392i | ||||
\(683\) | −33.5701 | + | 31.1485i | −1.28452 | + | 1.19186i | −0.314391 | + | 0.949294i | \(0.601800\pi\) |
−0.970134 | + | 0.242571i | \(0.922009\pi\) | |||||||
\(684\) | 44.7377 | − | 30.5017i | 1.71059 | − | 1.16626i | ||||
\(685\) | 45.8828 | 1.75309 | ||||||||
\(686\) | 0.161887 | − | 0.0412019i | 0.00618086 | − | 0.00157310i | ||||
\(687\) | 28.5782 | 1.09033 | ||||||||
\(688\) | 16.8911 | − | 11.5162i | 0.643968 | − | 0.439050i | ||||
\(689\) | −3.15528 | + | 2.92768i | −0.120207 | + | 0.111536i | ||||
\(690\) | 0.0479610 | − | 0.122203i | 0.00182584 | − | 0.00465217i | ||||
\(691\) | −28.8391 | − | 8.89570i | −1.09709 | − | 0.338408i | −0.307195 | − | 0.951647i | \(-0.599390\pi\) |
−0.789898 | + | 0.613238i | \(0.789866\pi\) | |||||||
\(692\) | −1.00201 | + | 4.39007i | −0.0380905 | + | 0.166886i | ||||
\(693\) | 43.6949 | + | 101.307i | 1.65983 | + | 3.84832i | ||||
\(694\) | 0.0399695 | + | 0.175118i | 0.00151722 | + | 0.00664738i | ||||
\(695\) | −2.63191 | + | 35.1205i | −0.0998342 | + | 1.33219i | ||||
\(696\) | 0.607713 | − | 0.187455i | 0.0230353 | − | 0.00710545i | ||||
\(697\) | −1.48117 | − | 19.7649i | −0.0561034 | − | 0.748648i | ||||
\(698\) | −0.0166104 | − | 0.0423226i | −0.000628712 | − | 0.00160193i | ||||
\(699\) | 22.9320 | + | 11.0435i | 0.867367 | + | 0.417702i | ||||
\(700\) | 2.93700 | + | 1.86266i | 0.111008 | + | 0.0704020i | ||||
\(701\) | −0.915249 | + | 0.440761i | −0.0345685 | + | 0.0166473i | −0.451088 | − | 0.892479i | \(-0.648964\pi\) |
0.416520 | + | 0.909127i | \(0.363250\pi\) | |||||||
\(702\) | −0.0842475 | − | 0.0781703i | −0.00317972 | − | 0.00295035i | ||||
\(703\) | −4.22299 | − | 0.636513i | −0.159273 | − | 0.0240066i | ||||
\(704\) | −23.7401 | − | 41.1190i | −0.894738 | − | 1.54973i | ||||
\(705\) | −2.09802 | + | 3.63387i | −0.0790159 | + | 0.136860i | ||||
\(706\) | 0.0374390 | − | 0.0469470i | 0.00140904 | − | 0.00176687i | ||||
\(707\) | −8.52904 | − | 3.76383i | −0.320768 | − | 0.141553i | ||||
\(708\) | 30.8375 | + | 38.6690i | 1.15894 | + | 1.45327i | ||||
\(709\) | −37.5601 | + | 5.66127i | −1.41060 | + | 0.212613i | −0.809762 | − | 0.586759i | \(-0.800404\pi\) |
−0.600836 | + | 0.799372i | \(0.705166\pi\) | |||||||
\(710\) | 0.139711 | + | 0.0952531i | 0.00524325 | + | 0.00357478i | ||||
\(711\) | 10.8620 | + | 7.40560i | 0.407358 | + | 0.277732i | ||||
\(712\) | −0.246438 | + | 0.0371445i | −0.00923564 | + | 0.00139205i | ||||
\(713\) | 7.97982 | + | 10.0064i | 0.298847 | + | 0.374742i | ||||
\(714\) | 0.254363 | − | 0.00844966i | 0.00951929 | − | 0.000316220i | ||||
\(715\) | −8.80362 | + | 11.0394i | −0.329237 | + | 0.412850i | ||||
\(716\) | 21.3841 | − | 37.0384i | 0.799163 | − | 1.38419i | ||||
\(717\) | 28.7665 | + | 49.8251i | 1.07431 | + | 1.86075i | ||||
\(718\) | −0.235926 | − | 0.0355601i | −0.00880467 | − | 0.00132709i | ||||
\(719\) | −18.3402 | − | 17.0172i | −0.683973 | − | 0.634634i | 0.259632 | − | 0.965708i | \(-0.416399\pi\) |
−0.943605 | + | 0.331073i | \(0.892589\pi\) | |||||||
\(720\) | −60.2046 | + | 28.9930i | −2.24369 | + | 1.08050i | ||||
\(721\) | 0.253819 | + | 2.34089i | 0.00945272 | + | 0.0871793i | ||||
\(722\) | 0.0336782 | + | 0.0162186i | 0.00125337 | + | 0.000603592i | ||||
\(723\) | 0.446253 | + | 1.13703i | 0.0165963 | + | 0.0422867i | ||||
\(724\) | 2.32782 | + | 31.0626i | 0.0865126 | + | 1.15443i | ||||
\(725\) | −3.49684 | + | 1.07863i | −0.129869 | + | 0.0400594i | ||||
\(726\) | 0.0517345 | − | 0.690349i | 0.00192005 | − | 0.0256212i | ||||
\(727\) | 11.0664 | + | 48.4853i | 0.410432 | + | 1.79822i | 0.582160 | + | 0.813074i | \(0.302208\pi\) |
−0.171728 | + | 0.985144i | \(0.554935\pi\) | |||||||
\(728\) | −0.0938633 | + | 0.0173525i | −0.00347880 | + | 0.000643128i | ||||
\(729\) | −3.18786 | + | 13.9669i | −0.118069 | + | 0.517293i | ||||
\(730\) | 0.265037 | + | 0.0817531i | 0.00980946 | + | 0.00302582i | ||||
\(731\) | −6.29023 | + | 16.0272i | −0.232653 | + | 0.592789i | ||||
\(732\) | −53.3957 | + | 49.5440i | −1.97356 | + | 1.83120i | ||||
\(733\) | 38.0095 | − | 25.9144i | 1.40391 | − | 0.957172i | 0.404828 | − | 0.914393i | \(-0.367331\pi\) |
0.999085 | − | 0.0427788i | \(-0.0136211\pi\) | |||||||
\(734\) | 0.293675 | 0.0108397 | ||||||||
\(735\) | 15.9598 | − | 50.2406i | 0.588686 | − | 1.85315i | ||||
\(736\) | 0.209177 | 0.00771038 | ||||||||
\(737\) | −75.1006 | + | 51.2027i | −2.76637 | + | 1.88608i | ||||
\(738\) | −0.273291 | + | 0.253577i | −0.0100600 | + | 0.00933428i | ||||
\(739\) | 9.51257 | − | 24.2376i | 0.349925 | − | 0.891595i | −0.642222 | − | 0.766519i | \(-0.721987\pi\) |
0.992147 | − | 0.125076i | \(-0.0399176\pi\) | |||||||
\(740\) | 5.03652 | + | 1.55356i | 0.185146 | + | 0.0571100i | ||||
\(741\) | 2.71548 | − | 11.8973i | 0.0997558 | − | 0.437059i | ||||
\(742\) | −0.0829016 | + | 0.0606488i | −0.00304341 | + | 0.00222649i | ||||
\(743\) | 3.43015 | + | 15.0285i | 0.125840 | + | 0.551340i | 0.998062 | + | 0.0622302i | \(0.0198213\pi\) |
−0.872222 | + | 0.489110i | \(0.837322\pi\) | |||||||
\(744\) | −0.0565287 | + | 0.754323i | −0.00207244 | + | 0.0276548i | ||||
\(745\) | 30.4646 | − | 9.39709i | 1.11614 | − | 0.344283i | ||||
\(746\) | 0.00110387 | + | 0.0147301i | 4.04155e−5 | + | 0.000539308i | ||||
\(747\) | −25.9367 | − | 66.0857i | −0.948975 | − | 2.41795i | ||||
\(748\) | 36.0307 | + | 17.3515i | 1.31741 | + | 0.634432i | ||||
\(749\) | −21.3260 | + | 7.36205i | −0.779234 | + | 0.269004i | ||||
\(750\) | 0.265765 | − | 0.127986i | 0.00970436 | − | 0.00467337i | ||||
\(751\) | 19.1390 | + | 17.7584i | 0.698392 | + | 0.648013i | 0.947238 | − | 0.320530i | \(-0.103861\pi\) |
−0.248846 | + | 0.968543i | \(0.580051\pi\) | |||||||
\(752\) | −2.20361 | − | 0.332141i | −0.0803574 | − | 0.0121119i | ||||
\(753\) | 11.8015 | + | 20.4408i | 0.430070 | + | 0.744902i | ||||
\(754\) | 0.0251087 | − | 0.0434896i | 0.000914406 | − | 0.00158380i | ||||
\(755\) | −18.7844 | + | 23.5548i | −0.683633 | + | 0.857249i | ||||
\(756\) | 43.7627 | + | 51.2866i | 1.59164 | + | 1.86528i | ||||
\(757\) | −27.4397 | − | 34.4083i | −0.997313 | − | 1.25059i | −0.967981 | − | 0.251022i | \(-0.919233\pi\) |
−0.0293321 | − | 0.999570i | \(-0.509338\pi\) | |||||||
\(758\) | 0.141211 | − | 0.0212841i | 0.00512901 | − | 0.000773074i | ||||
\(759\) | −30.0142 | − | 20.4633i | −1.08945 | − | 0.742772i | ||||
\(760\) | 0.273276 | + | 0.186316i | 0.00991275 | + | 0.00675840i | ||||
\(761\) | 24.2964 | − | 3.66209i | 0.880743 | − | 0.132751i | 0.306925 | − | 0.951734i | \(-0.400700\pi\) |
0.573818 | + | 0.818983i | \(0.305462\pi\) | |||||||
\(762\) | 0.0914941 | + | 0.114730i | 0.00331448 | + | 0.00415623i | ||||
\(763\) | 29.8678 | − | 15.6257i | 1.08129 | − | 0.565690i | ||||
\(764\) | 3.89827 | − | 4.88828i | 0.141035 | − | 0.176852i | ||||
\(765\) | 28.1387 | − | 48.7377i | 1.01736 | − | 1.76212i | ||||
\(766\) | 0.0459882 | + | 0.0796539i | 0.00166162 | + | 0.00287801i | ||||
\(767\) | 7.72379 | + | 1.16417i | 0.278890 | + | 0.0420359i | ||||
\(768\) | −37.1199 | − | 34.4423i | −1.33945 | − | 1.24283i | ||||
\(769\) | 17.0429 | − | 8.20743i | 0.614583 | − | 0.295968i | −0.100576 | − | 0.994929i | \(-0.532069\pi\) |
0.715159 | + | 0.698962i | \(0.246354\pi\) | |||||||
\(770\) | −0.239261 | + | 0.237263i | −0.00862238 | + | 0.00855037i | ||||
\(771\) | −45.4774 | − | 21.9007i | −1.63783 | − | 0.788736i | ||||
\(772\) | −1.27524 | − | 3.24925i | −0.0458967 | − | 0.116943i | ||||
\(773\) | 0.309493 | + | 4.12989i | 0.0111317 | + | 0.148542i | 1.00000 | 0.000251550i | \(-8.00707e-5\pi\) | |
−0.988868 | + | 0.148794i | \(0.952461\pi\) | |||||||
\(774\) | 0.309465 | − | 0.0954573i | 0.0111235 | − | 0.00343114i | ||||
\(775\) | 0.325271 | − | 4.34045i | 0.0116841 | − | 0.155913i | ||||
\(776\) | 0.0343431 | + | 0.150467i | 0.00123285 | + | 0.00540145i | ||||
\(777\) | 0.385945 | − | 9.27370i | 0.0138457 | − | 0.332692i | ||||
\(778\) | 0.0292653 | − | 0.128220i | 0.00104921 | − | 0.00459690i | ||||
\(779\) | −21.6720 | − | 6.68493i | −0.776480 | − | 0.239512i | ||||
\(780\) | −5.50229 | + | 14.0196i | −0.197014 | + | 0.501983i | ||||
\(781\) | 34.2997 | − | 31.8254i | 1.22734 | − | 1.13880i | ||||
\(782\) | −0.0485160 | + | 0.0330776i | −0.00173493 | + | 0.00118285i | ||||
\(783\) | −70.9400 | −2.53519 | ||||||||
\(784\) | 27.9349 | − | 1.85798i | 0.997674 | − | 0.0663565i | ||||
\(785\) | 53.7927 | 1.91994 | ||||||||
\(786\) | 0.532554 | − | 0.363089i | 0.0189956 | − | 0.0129510i | ||||
\(787\) | −17.6591 | + | 16.3853i | −0.629481 | + | 0.584073i | −0.929028 | − | 0.370009i | \(-0.879355\pi\) |
0.299548 | + | 0.954081i | \(0.403164\pi\) | |||||||
\(788\) | 13.5160 | − | 34.4382i | 0.481488 | − | 1.22681i | ||||
\(789\) | 42.0734 | + | 12.9779i | 1.49785 | + | 0.462026i | ||||
\(790\) | −0.00893437 | + | 0.0391440i | −0.000317871 | + | 0.00139268i | ||||
\(791\) | 28.4902 | + | 24.7265i | 1.01300 | + | 0.879174i | ||||
\(792\) | −0.334774 | − | 1.46674i | −0.0118957 | − | 0.0521184i | ||||
\(793\) | −0.859658 | + | 11.4713i | −0.0305274 | + | 0.407359i | ||||
\(794\) | 0.0365285 | − | 0.0112675i | 0.00129635 | − | 0.000399870i | ||||
\(795\) | 2.42232 | + | 32.3237i | 0.0859110 | + | 1.14640i | ||||
\(796\) | 13.2056 | + | 33.6474i | 0.468062 | + | 1.19260i | ||||
\(797\) | −3.17705 | − | 1.52999i | −0.112537 | − | 0.0541950i | 0.376768 | − | 0.926308i | \(-0.377035\pi\) |
−0.489305 | + | 0.872113i | \(0.662750\pi\) | |||||||
\(798\) | 0.0973350 | − | 0.274470i | 0.00344562 | − | 0.00971614i | ||||
\(799\) | 1.69098 | − | 0.814332i | 0.0598225 | − | 0.0288090i | ||||
\(800\) | −0.0521478 | − | 0.0483861i | −0.00184370 | − | 0.00171071i | ||||
\(801\) | 47.9813 | + | 7.23201i | 1.69533 | + | 0.255531i | ||||
\(802\) | −0.120944 | − | 0.209482i | −0.00427070 | − | 0.00739707i | ||||
\(803\) | 38.3746 | − | 66.4668i | 1.35421 | − | 2.34556i | ||||
\(804\) | −60.4478 | + | 75.7991i | −2.13183 | + | 2.67323i | ||||
\(805\) | 3.09855 | + | 11.7610i | 0.109210 | + | 0.414521i | ||||
\(806\) | 0.0372411 | + | 0.0466989i | 0.00131176 | + | 0.00164490i | ||||
\(807\) | −23.7560 | + | 3.58064i | −0.836250 | + | 0.126044i | ||||
\(808\) | 0.105036 | + | 0.0716123i | 0.00369515 | + | 0.00251931i | ||||
\(809\) | −17.1453 | − | 11.6894i | −0.602795 | − | 0.410979i | 0.223106 | − | 0.974794i | \(-0.428381\pi\) |
−0.825901 | + | 0.563815i | \(0.809333\pi\) | |||||||
\(810\) | −0.408767 | + | 0.0616117i | −0.0143626 | + | 0.00216482i | ||||
\(811\) | −24.1345 | − | 30.2638i | −0.847478 | − | 1.06270i | −0.997259 | − | 0.0739851i | \(-0.976428\pi\) |
0.149781 | − | 0.988719i | \(-0.452143\pi\) | |||||||
\(812\) | −17.5928 | + | 23.6294i | −0.617386 | + | 0.829228i | ||||
\(813\) | 18.0142 | − | 22.5891i | 0.631786 | − | 0.792235i | ||||
\(814\) | −0.0296648 | + | 0.0513810i | −0.00103975 | + | 0.00180090i | ||||
\(815\) | 1.32049 | + | 2.28715i | 0.0462546 | + | 0.0801154i | ||||
\(816\) | 42.1774 | + | 6.35723i | 1.47651 | + | 0.222547i | ||||
\(817\) | 14.4420 | + | 13.4002i | 0.505262 | + | 0.468815i | ||||
\(818\) | −0.109126 | + | 0.0525524i | −0.00381551 | + | 0.00183745i | ||||
\(819\) | 18.4590 | + | 2.15826i | 0.645011 | + | 0.0754156i | ||||
\(820\) | 25.2182 | + | 12.1444i | 0.880658 | + | 0.424102i | ||||
\(821\) | −6.73503 | − | 17.1606i | −0.235054 | − | 0.598909i | 0.763866 | − | 0.645375i | \(-0.223299\pi\) |
−0.998920 | + | 0.0464668i | \(0.985204\pi\) | |||||||
\(822\) | 0.0411683 | + | 0.549353i | 0.00143591 | + | 0.0191609i | ||||
\(823\) | 23.2282 | − | 7.16494i | 0.809683 | − | 0.249754i | 0.137847 | − | 0.990454i | \(-0.455982\pi\) |
0.671837 | + | 0.740699i | \(0.265506\pi\) | |||||||
\(824\) | 0.00239944 | − | 0.0320183i | 8.35884e−5 | − | 0.00111541i | ||||
\(825\) | 2.74902 | + | 12.0443i | 0.0957087 | + | 0.419327i | ||||
\(826\) | 0.179847 | + | 0.0489989i | 0.00625766 | + | 0.00170489i | ||||
\(827\) | −7.09573 | + | 31.0884i | −0.246743 | + | 1.08105i | 0.687996 | + | 0.725715i | \(0.258491\pi\) |
−0.934739 | + | 0.355336i | \(0.884366\pi\) | |||||||
\(828\) | −25.9447 | − | 8.00288i | −0.901641 | − | 0.278119i | ||||
\(829\) | 15.5422 | − | 39.6009i | 0.539803 | − | 1.37539i | −0.357473 | − | 0.933924i | \(-0.616362\pi\) |
0.897275 | − | 0.441471i | \(-0.145543\pi\) | |||||||
\(830\) | 0.158942 | − | 0.147477i | 0.00551697 | − | 0.00511900i | ||||
\(831\) | 50.8482 | − | 34.6677i | 1.76391 | − | 1.20261i | ||||
\(832\) | −7.99805 | −0.277282 | ||||||||
\(833\) | −18.5572 | + | 14.5460i | −0.642970 | + | 0.503988i | ||||
\(834\) | −0.422858 | −0.0146424 | ||||||||
\(835\) | 12.0286 | − | 8.20097i | 0.416267 | − | 0.283806i | ||||
\(836\) | 33.5446 | − | 31.1248i | 1.16016 | − | 1.07648i | ||||
\(837\) | 30.8268 | − | 78.5453i | 1.06553 | − | 2.71492i | ||||
\(838\) | 0.140302 | + | 0.0432774i | 0.00484665 | + | 0.00149499i | ||||
\(839\) | −4.58788 | + | 20.1008i | −0.158391 | + | 0.693957i | 0.831897 | + | 0.554930i | \(0.187255\pi\) |
−0.990289 | + | 0.139028i | \(0.955602\pi\) | |||||||
\(840\) | −0.338549 | + | 0.634114i | −0.0116810 | + | 0.0218790i | ||||
\(841\) | −0.444432 | − | 1.94718i | −0.0153252 | − | 0.0671442i | ||||
\(842\) | 0.0175295 | − | 0.233915i | 0.000604107 | − | 0.00806125i | ||||
\(843\) | −55.4939 | + | 17.1176i | −1.91131 | + | 0.589561i | ||||
\(844\) | −1.18772 | − | 15.8490i | −0.0408830 | − | 0.545545i | ||||
\(845\) | 0.868965 | + | 2.21409i | 0.0298933 | + | 0.0761669i | ||||
\(846\) | −0.0318066 | − | 0.0153173i | −0.00109353 | − | 0.000526618i | ||||
\(847\) | 33.8951 | + | 54.4493i | 1.16465 | + | 1.87090i | ||||
\(848\) | −15.5103 | + | 7.46937i | −0.532626 | + | 0.256499i | ||||
\(849\) | −72.9563 | − | 67.6936i | −2.50385 | − | 2.32324i | ||||
\(850\) | 0.0197464 | + | 0.00297629i | 0.000677295 | + | 0.000102086i | ||||
\(851\) | 1.07074 | + | 1.85458i | 0.0367045 | + | 0.0635741i | ||||
\(852\) | 24.9539 | − | 43.2214i | 0.854906 | − | 1.48074i | ||||
\(853\) | 12.6508 | − | 15.8637i | 0.433157 | − | 0.543161i | −0.516569 | − | 0.856246i | \(-0.672791\pi\) |
0.949725 | + | 0.313085i | \(0.101362\pi\) | |||||||
\(854\) | −0.0521668 | + | 0.269517i | −0.00178511 | + | 0.00922267i | ||||
\(855\) | −40.1503 | − | 50.3469i | −1.37311 | − | 1.72183i | ||||
\(856\) | 0.304211 | − | 0.0458524i | 0.0103977 | − | 0.00156720i | ||||
\(857\) | 21.8402 | + | 14.8904i | 0.746048 | + | 0.508647i | 0.875666 | − | 0.482917i | \(-0.160423\pi\) |
−0.129618 | + | 0.991564i | \(0.541375\pi\) | |||||||
\(858\) | −0.140073 | − | 0.0955005i | −0.00478203 | − | 0.00326033i | ||||
\(859\) | 25.7038 | − | 3.87422i | 0.877002 | − | 0.132187i | 0.304915 | − | 0.952380i | \(-0.401372\pi\) |
0.572087 | + | 0.820193i | \(0.306134\pi\) | |||||||
\(860\) | −15.1597 | − | 19.0097i | −0.516942 | − | 0.648225i | ||||
\(861\) | 9.36674 | − | 48.3927i | 0.319218 | − | 1.64922i | ||||
\(862\) | 0.144568 | − | 0.181282i | 0.00492400 | − | 0.00617449i | ||||
\(863\) | −7.70946 | + | 13.3532i | −0.262433 | + | 0.454547i | −0.966888 | − | 0.255202i | \(-0.917858\pi\) |
0.704455 | + | 0.709749i | \(0.251192\pi\) | |||||||
\(864\) | −0.689525 | − | 1.19429i | −0.0234581 | − | 0.0406306i | ||||
\(865\) | 5.29557 | + | 0.798179i | 0.180055 | + | 0.0271389i | ||||
\(866\) | 0.0135661 | + | 0.0125875i | 0.000460994 | + | 0.000427739i | ||||
\(867\) | 16.1284 | − | 7.76703i | 0.547749 | − | 0.263782i | ||||
\(868\) | −18.5177 | − | 29.7469i | −0.628532 | − | 1.00968i | ||||
\(869\) | 10.0100 | + | 4.82056i | 0.339566 | + | 0.163526i | ||||
\(870\) | −0.138161 | − | 0.352029i | −0.00468410 | − | 0.0119349i | ||||
\(871\) | 1.14421 | + | 15.2684i | 0.0387700 | + | 0.517350i | ||||
\(872\) | −0.439234 | + | 0.135486i | −0.0148744 | + | 0.00458813i | ||||
\(873\) | 2.24558 | − | 29.9652i | 0.0760014 | − | 1.01417i | ||||
\(874\) | 0.0149512 | + | 0.0655053i | 0.000505731 | + | 0.00221575i | ||||
\(875\) | −12.8709 | + | 24.1077i | −0.435117 | + | 0.814990i | ||||
\(876\) | 18.2162 | − | 79.8105i | 0.615469 | − | 2.69655i | ||||
\(877\) | 29.5693 | + | 9.12093i | 0.998486 | + | 0.307992i | 0.750571 | − | 0.660790i | \(-0.229779\pi\) |
0.247915 | + | 0.968782i | \(0.420255\pi\) | |||||||
\(878\) | −0.0273019 | + | 0.0695642i | −0.000921395 | + | 0.00234768i | ||||
\(879\) | 34.7289 | − | 32.2237i | 1.17138 | − | 1.08688i | ||||
\(880\) | −46.6600 | + | 31.8122i | −1.57291 | + | 1.07239i | ||||
\(881\) | 27.0783 | 0.912292 | 0.456146 | − | 0.889905i | \(-0.349230\pi\) | ||||
0.456146 | + | 0.889905i | \(0.349230\pi\) | |||||||
\(882\) | 0.431544 | + | 0.102312i | 0.0145308 | + | 0.00344503i | ||||
\(883\) | −24.5437 | −0.825962 | −0.412981 | − | 0.910740i | \(-0.635512\pi\) | ||||
−0.412981 | + | 0.910740i | \(0.635512\pi\) | |||||||
\(884\) | 5.56596 | − | 3.79481i | 0.187203 | − | 0.127633i | ||||
\(885\) | 43.1197 | − | 40.0092i | 1.44945 | − | 1.34490i | ||||
\(886\) | 0.0499950 | − | 0.127385i | 0.00167961 | − | 0.00427959i | ||||
\(887\) | 20.3563 | + | 6.27907i | 0.683496 | + | 0.210831i | 0.617008 | − | 0.786957i | \(-0.288344\pi\) |
0.0664878 | + | 0.997787i | \(0.478821\pi\) | |||||||
\(888\) | −0.0281640 | + | 0.123395i | −0.000945123 | + | 0.00414085i | ||||
\(889\) | −13.1172 | − | 3.57377i | −0.439938 | − | 0.119860i | ||||
\(890\) | 0.0329768 | + | 0.144481i | 0.00110538 | + | 0.00484301i | ||||
\(891\) | −8.54832 | + | 114.069i | −0.286380 | + | 3.82147i | ||||
\(892\) | −34.1867 | + | 10.5452i | −1.14465 | + | 0.353079i | ||||
\(893\) | −0.160490 | − | 2.14159i | −0.00537060 | − | 0.0716657i | ||||
\(894\) | 0.139846 | + | 0.356321i | 0.00467714 | + | 0.0119171i | ||||
\(895\) | −45.8272 | − | 22.0692i | −1.53183 | − | 0.737692i | ||||
\(896\) | −0.758402 | − | 0.0886734i | −0.0253364 | − | 0.00296237i | ||||
\(897\) | −5.51319 | + | 2.65501i | −0.184080 | + | 0.0886482i | ||||
\(898\) | −0.124987 | − | 0.115971i | −0.00417087 | − | 0.00387001i | ||||
\(899\) | 36.4572 | + | 5.49504i | 1.21592 | + | 0.183270i | ||||
\(900\) | 4.61680 | + | 7.99654i | 0.153893 | + | 0.266551i | ||||
\(901\) | 7.24930 | − | 12.5562i | 0.241509 | − | 0.418306i | ||||
\(902\) | −0.196444 | + | 0.246333i | −0.00654087 | + | 0.00820199i | ||||
\(903\) | −25.5703 | + | 34.3442i | −0.850926 | + | 1.14290i | ||||
\(904\) | −0.320731 | − | 0.402184i | −0.0106674 | − | 0.0133764i | ||||
\(905\) | 36.6325 | − | 5.52146i | 1.21771 | − | 0.183540i | ||||
\(906\) | −0.298876 | − | 0.203770i | −0.00992949 | − | 0.00676981i | ||||
\(907\) | 21.1369 | + | 14.4109i | 0.701839 | + | 0.478506i | 0.860907 | − | 0.508762i | \(-0.169897\pi\) |
−0.159068 | + | 0.987268i | \(0.550849\pi\) | |||||||
\(908\) | 9.72723 | − | 1.46614i | 0.322809 | − | 0.0486557i | ||||
\(909\) | −15.4321 | − | 19.3513i | −0.511852 | − | 0.641842i | ||||
\(910\) | 0.0144607 | + | 0.0548875i | 0.000479366 | + | 0.00181950i | ||||
\(911\) | −14.1578 | + | 17.7533i | −0.469069 | + | 0.588194i | −0.958943 | − | 0.283599i | \(-0.908471\pi\) |
0.489874 | + | 0.871793i | \(0.337043\pi\) | |||||||
\(912\) | 24.4036 | − | 42.2682i | 0.808083 | − | 1.39964i | ||||
\(913\) | −29.9989 | − | 51.9597i | −0.992820 | − | 1.71962i | ||||
\(914\) | 0.267728 | + | 0.0403536i | 0.00885567 | + | 0.00133478i | ||||
\(915\) | 63.5035 | + | 58.9227i | 2.09936 | + | 1.94792i | ||||
\(916\) | 16.2640 | − | 7.83235i | 0.537379 | − | 0.258788i | ||||
\(917\) | −19.9589 | + | 56.2810i | −0.659099 | + | 1.85856i | ||||
\(918\) | 0.348782 | + | 0.167965i | 0.0115115 | + | 0.00554366i | ||||
\(919\) | −5.01643 | − | 12.7817i | −0.165477 | − | 0.421628i | 0.823950 | − | 0.566663i | \(-0.191766\pi\) |
−0.989427 | + | 0.145035i | \(0.953671\pi\) | |||||||
\(920\) | −0.0123939 | − | 0.165385i | −0.000408614 | − | 0.00545258i | ||||
\(921\) | −29.1223 | + | 8.98305i | −0.959613 | + | 0.296001i | ||||
\(922\) | −0.00467789 | + | 0.0624222i | −0.000154058 | + | 0.00205576i | ||||
\(923\) | −1.75387 | − | 7.68422i | −0.0577294 | − | 0.252929i | ||||
\(924\) | 75.1100 | + | 65.1876i | 2.47094 | + | 2.14451i | ||||
\(925\) | 0.162059 | − | 0.710025i | 0.00532845 | − | 0.0233455i | ||||
\(926\) | 0.0487191 | + | 0.0150278i | 0.00160101 | + | 0.000493846i | ||||
\(927\) | −2.28390 | + | 5.81928i | −0.0750131 | + | 0.191130i | ||||
\(928\) | 0.441720 | − | 0.409856i | 0.0145002 | − | 0.0134542i | ||||
\(929\) | 11.7146 | − | 7.98686i | 0.384343 | − | 0.262041i | −0.355700 | − | 0.934600i | \(-0.615758\pi\) |
0.740043 | + | 0.672560i | \(0.234805\pi\) | |||||||
\(930\) | 0.449807 | 0.0147497 | ||||||||
\(931\) | 7.73606 | + | 25.8473i | 0.253539 | + | 0.847112i | ||||
\(932\) | 16.0774 | 0.526632 | ||||||||
\(933\) | −31.7060 | + | 21.6168i | −1.03801 | + | 0.707701i | ||||
\(934\) | −0.0963107 | + | 0.0893633i | −0.00315138 | + | 0.00292406i | ||||
\(935\) | 17.3761 | − | 44.2736i | 0.568260 | − | 1.44790i | ||||
\(936\) | −0.242168 | − | 0.0746989i | −0.00791551 | − | 0.00244161i | ||||
\(937\) | 1.47304 | − | 6.45382i | 0.0481222 | − | 0.210837i | −0.945151 | − | 0.326635i | \(-0.894085\pi\) |
0.993273 | + | 0.115798i | \(0.0369424\pi\) | |||||||
\(938\) | −0.0151932 | + | 0.365070i | −0.000496074 | + | 0.0119199i | ||||
\(939\) | 13.6780 | + | 59.9273i | 0.446365 | + | 1.95565i | ||||
\(940\) | −0.198070 | + | 2.64305i | −0.00646032 | + | 0.0862069i | ||||
\(941\) | −17.3073 | + | 5.33859i | −0.564201 | + | 0.174033i | −0.563719 | − | 0.825967i | \(-0.690630\pi\) |
−0.000482631 | 1.00000i | \(0.500154\pi\) | ||||||||
\(942\) | 0.0482655 | + | 0.644059i | 0.00157258 | + | 0.0209846i | ||||
\(943\) | 4.15480 | + | 10.5863i | 0.135299 | + | 0.344736i | ||||
\(944\) | 28.1465 | + | 13.5547i | 0.916092 | + | 0.441167i | ||||
\(945\) | 56.9352 | − | 56.4597i | 1.85210 | − | 1.83663i | ||||
\(946\) | 0.246591 | − | 0.118752i | 0.00801736 | − | 0.00386096i | ||||
\(947\) | 34.6685 | + | 32.1677i | 1.12657 | + | 1.04531i | 0.998566 | + | 0.0535355i | \(0.0170490\pi\) |
0.128009 | + | 0.991773i | \(0.459141\pi\) | |||||||
\(948\) | 11.7182 | + | 1.76623i | 0.380588 | + | 0.0573645i | ||||
\(949\) | −6.46422 | − | 11.1964i | −0.209837 | − | 0.363449i | ||||
\(950\) | 0.0114251 | − | 0.0197889i | 0.000370680 | − | 0.000642036i | ||||
\(951\) | 20.0547 | − | 25.1478i | 0.650319 | − | 0.815474i | ||||
\(952\) | 0.284893 | − | 0.149045i | 0.00923344 | − | 0.00483059i | ||||
\(953\) | −32.2038 | − | 40.3823i | −1.04318 | − | 1.30811i | −0.949928 | − | 0.312470i | \(-0.898844\pi\) |
−0.0932567 | − | 0.995642i | \(-0.529728\pi\) | |||||||
\(954\) | −0.269667 | + | 0.0406457i | −0.00873079 | + | 0.00131595i | ||||
\(955\) | −6.14384 | − | 4.18880i | −0.198810 | − | 0.135546i | ||||
\(956\) | 30.0266 | + | 20.4718i | 0.971129 | + | 0.662105i | ||||
\(957\) | −103.476 | + | 15.5965i | −3.34491 | + | 0.504165i | ||||
\(958\) | 0.124137 | + | 0.155663i | 0.00401070 | + | 0.00502926i | ||||
\(959\) | −33.1290 | − | 38.8247i | −1.06979 | − | 1.25372i | ||||
\(960\) | −37.5531 | + | 47.0901i | −1.21202 | + | 1.51983i | ||||
\(961\) | −6.42655 | + | 11.1311i | −0.207308 | + | 0.359068i | ||||
\(962\) | 0.00499705 | + | 0.00865515i | 0.000161111 | + | 0.000279053i | ||||
\(963\) | −59.2297 | − | 8.92744i | −1.90865 | − | 0.287683i | ||||
\(964\) | 0.565588 | + | 0.524789i | 0.0182164 | + | 0.0169023i | ||||
\(965\) | −3.74019 | + | 1.80118i | −0.120401 | + | 0.0579820i | ||||
\(966\) | −0.138034 | + | 0.0476515i | −0.00444117 | + | 0.00153316i | ||||
\(967\) | 12.6667 | + | 6.09995i | 0.407333 | + | 0.196161i | 0.626319 | − | 0.779567i | \(-0.284561\pi\) |
−0.218986 | + | 0.975728i | \(0.570275\pi\) | |||||||
\(968\) | −0.319525 | − | 0.814137i | −0.0102699 | − | 0.0261674i | ||||
\(969\) | 3.07181 | + | 40.9904i | 0.0986807 | + | 1.31680i | ||||
\(970\) | 0.0876971 | − | 0.0270510i | 0.00281578 | − | 0.000868554i | ||||
\(971\) | −3.15317 | + | 42.0762i | −0.101190 | + | 1.35029i | 0.683295 | + | 0.730142i | \(0.260546\pi\) |
−0.784486 | + | 0.620147i | \(0.787073\pi\) | |||||||
\(972\) | 10.1388 | + | 44.4210i | 0.325203 | + | 1.42481i | ||||
\(973\) | 31.6183 | − | 23.1312i | 1.01364 | − | 0.741552i | ||||
\(974\) | 0.0448898 | − | 0.196675i | 0.00143836 | − | 0.00630188i | ||||
\(975\) | 1.98858 | + | 0.613396i | 0.0636855 | + | 0.0196444i | ||||
\(976\) | −16.8088 | + | 42.8280i | −0.538035 | + | 1.37089i | ||||
\(977\) | 19.7610 | − | 18.3355i | 0.632211 | − | 0.586606i | −0.297579 | − | 0.954697i | \(-0.596179\pi\) |
0.929790 | + | 0.368091i | \(0.119989\pi\) | |||||||
\(978\) | −0.0261992 | + | 0.0178623i | −0.000837758 | + | 0.000571173i | ||||
\(979\) | 41.0080 | 1.31062 | ||||||||
\(980\) | −4.68646 | − | 32.9663i | −0.149704 | − | 1.05307i | ||||
\(981\) | 89.4946 | 2.85734 | ||||||||
\(982\) | 0.151320 | − | 0.103168i | 0.00482883 | − | 0.00329224i | ||||
\(983\) | −6.98972 | + | 6.48551i | −0.222937 | + | 0.206856i | −0.783732 | − | 0.621099i | \(-0.786686\pi\) |
0.560794 | + | 0.827955i | \(0.310496\pi\) | |||||||
\(984\) | −0.245561 | + | 0.625680i | −0.00782820 | + | 0.0199459i | ||||
\(985\) | −42.0441 | − | 12.9689i | −1.33964 | − | 0.413223i | ||||
\(986\) | −0.0376398 | + | 0.164911i | −0.00119870 | + | 0.00525183i | ||||
\(987\) | 4.58972 | − | 0.848504i | 0.146093 | − | 0.0270082i | ||||
\(988\) | −1.71526 | − | 7.51505i | −0.0545698 | − | 0.239086i | ||||
\(989\) | 0.738253 | − | 9.85130i | 0.0234751 | − | 0.313253i | ||||
\(990\) | −0.854865 | + | 0.263691i | −0.0271694 | + | 0.00838065i | ||||
\(991\) | −0.670426 | − | 8.94621i | −0.0212968 | − | 0.284186i | −0.997677 | − | 0.0681254i | \(-0.978298\pi\) |
0.976380 | − | 0.216060i | \(-0.0693208\pi\) | |||||||
\(992\) | 0.261848 | + | 0.667178i | 0.00831368 | + | 0.0211829i | ||||
\(993\) | 33.6416 | + | 16.2010i | 1.06759 | + | 0.514122i | ||||
\(994\) | −0.0202756 | − | 0.186995i | −0.000643104 | − | 0.00593114i | ||||
\(995\) | 38.7313 | − | 18.6520i | 1.22787 | − | 0.591309i | ||||
\(996\) | −46.9120 | − | 43.5280i | −1.48646 | − | 1.37924i | ||||
\(997\) | 18.3486 | + | 2.76560i | 0.581105 | + | 0.0875874i | 0.433015 | − | 0.901387i | \(-0.357450\pi\) |
0.148089 | + | 0.988974i | \(0.452688\pi\) | |||||||
\(998\) | −0.0123303 | − | 0.0213568i | −0.000390310 | − | 0.000676037i | ||||
\(999\) | 7.05911 | − | 12.2267i | 0.223340 | − | 0.386837i |
(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 | 637.2.bl.b.625.14 | yes | 348 | |
49.4 | even | 21 | inner | 637.2.bl.b.53.14 | ✓ | 348 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
637.2.bl.b.53.14 | ✓ | 348 | 49.4 | even | 21 | inner | |
637.2.bl.b.625.14 | yes | 348 | 1.1 | even | 1 | trivial |