Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [945,2,Mod(104,945)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(945, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([11, 9, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("945.104");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 945 = 3^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 945.cs (of order \(18\), degree \(6\), 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: | \(7.54586299101\) |
Analytic rank: | \(0\) |
Dimension: | \(816\) |
Relative dimension: | \(136\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 209.8 | ||
Character | \(\chi\) | \(=\) | 945.209 |
Dual form | 945.2.cs.b.104.8 |
$q$-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 \(\left(\mathbb{Z}/945\mathbb{Z}\right)^\times\).
\(n\) | \(136\) | \(596\) | \(757\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.39005 | + | 0.869908i | −1.69002 | + | 0.615118i | −0.994628 | − | 0.103510i | \(-0.966992\pi\) |
−0.695394 | + | 0.718628i | \(0.744770\pi\) | |||||||
\(3\) | 0.413843 | − | 1.68188i | 0.238933 | − | 0.971036i | ||||
\(4\) | 3.42352 | − | 2.87268i | 1.71176 | − | 1.43634i | ||||
\(5\) | −1.33788 | − | 1.79167i | −0.598318 | − | 0.801259i | ||||
\(6\) | 0.473977 | + | 4.37980i | 0.193500 | + | 1.78804i | ||||
\(7\) | −1.18021 | + | 2.36793i | −0.446076 | + | 0.894995i | ||||
\(8\) | −3.14000 | + | 5.43864i | −1.11016 | + | 1.92285i | ||||
\(9\) | −2.65747 | − | 1.39207i | −0.885822 | − | 0.464024i | ||||
\(10\) | 4.75619 | + | 3.11835i | 1.50404 | + | 0.986110i | ||||
\(11\) | 0.730141 | + | 0.128744i | 0.220146 | + | 0.0388176i | 0.282633 | − | 0.959228i | \(-0.408792\pi\) |
−0.0624872 | + | 0.998046i | \(0.519903\pi\) | |||||||
\(12\) | −3.41471 | − | 6.94681i | −0.985741 | − | 2.00537i | ||||
\(13\) | 4.21165 | + | 1.53292i | 1.16810 | + | 0.425155i | 0.851985 | − | 0.523565i | \(-0.175398\pi\) |
0.316117 | + | 0.948720i | \(0.397621\pi\) | |||||||
\(14\) | 0.760868 | − | 6.68616i | 0.203350 | − | 1.78695i | ||||
\(15\) | −3.56705 | + | 1.50869i | −0.921009 | + | 0.389541i | ||||
\(16\) | 1.22155 | − | 6.92774i | 0.305387 | − | 1.73193i | ||||
\(17\) | −1.33497 | + | 0.770744i | −0.323777 | + | 0.186933i | −0.653075 | − | 0.757293i | \(-0.726521\pi\) |
0.329298 | + | 0.944226i | \(0.393188\pi\) | |||||||
\(18\) | 7.56246 | + | 1.01538i | 1.78249 | + | 0.239327i | ||||
\(19\) | 2.23093 | + | 1.28803i | 0.511809 | + | 0.295493i | 0.733577 | − | 0.679606i | \(-0.237849\pi\) |
−0.221768 | + | 0.975100i | \(0.571183\pi\) | |||||||
\(20\) | −9.72715 | − | 2.29053i | −2.17506 | − | 0.512177i | ||||
\(21\) | 3.49417 | + | 2.96492i | 0.762491 | + | 0.646999i | ||||
\(22\) | −1.85707 | + | 0.327452i | −0.395929 | + | 0.0698129i | ||||
\(23\) | 3.69844 | − | 3.10336i | 0.771178 | − | 0.647095i | −0.169833 | − | 0.985473i | \(-0.554323\pi\) |
0.941010 | + | 0.338378i | \(0.109878\pi\) | |||||||
\(24\) | 7.84769 | + | 7.53185i | 1.60190 | + | 1.53743i | ||||
\(25\) | −1.42016 | + | 4.79407i | −0.284031 | + | 0.958815i | ||||
\(26\) | −11.3996 | −2.23564 | ||||||||
\(27\) | −3.44108 | + | 3.89345i | −0.662236 | + | 0.749295i | ||||
\(28\) | 2.76185 | + | 11.4970i | 0.521941 | + | 2.17273i | ||||
\(29\) | 1.66423 | + | 4.57243i | 0.309040 | + | 0.849079i | 0.992845 | + | 0.119414i | \(0.0381017\pi\) |
−0.683805 | + | 0.729665i | \(0.739676\pi\) | |||||||
\(30\) | 7.21302 | − | 6.70885i | 1.31691 | − | 1.22486i | ||||
\(31\) | 5.24901 | + | 6.25553i | 0.942750 | + | 1.12353i | 0.992188 | + | 0.124749i | \(0.0398125\pi\) |
−0.0494381 | + | 0.998777i | \(0.515743\pi\) | |||||||
\(32\) | 0.925915 | + | 5.25112i | 0.163680 | + | 0.928276i | ||||
\(33\) | 0.518696 | − | 1.17473i | 0.0902933 | − | 0.204495i | ||||
\(34\) | 2.52017 | − | 3.00342i | 0.432205 | − | 0.515082i | ||||
\(35\) | 5.82153 | − | 1.05347i | 0.984018 | − | 0.178070i | ||||
\(36\) | −13.0969 | + | 2.86825i | −2.18281 | + | 0.478042i | ||||
\(37\) | 4.43022 | − | 2.55779i | 0.728323 | − | 0.420498i | −0.0894853 | − | 0.995988i | \(-0.528522\pi\) |
0.817808 | + | 0.575491i | \(0.195189\pi\) | |||||||
\(38\) | −6.45249 | − | 1.13775i | −1.04673 | − | 0.184567i | ||||
\(39\) | 4.32115 | − | 6.44913i | 0.691938 | − | 1.03269i | ||||
\(40\) | 13.9452 | − | 1.65040i | 2.20493 | − | 0.260951i | ||||
\(41\) | 7.73911 | + | 2.81680i | 1.20865 | + | 0.439911i | 0.866234 | − | 0.499639i | \(-0.166534\pi\) |
0.342412 | + | 0.939550i | \(0.388756\pi\) | |||||||
\(42\) | −10.9305 | − | 4.04671i | −1.68661 | − | 0.624422i | ||||
\(43\) | −9.27186 | − | 1.63488i | −1.41395 | − | 0.249317i | −0.586085 | − | 0.810250i | \(-0.699331\pi\) |
−0.827861 | + | 0.560933i | \(0.810443\pi\) | |||||||
\(44\) | 2.86949 | − | 1.65670i | 0.432592 | − | 0.249757i | ||||
\(45\) | 1.06124 | + | 6.62373i | 0.158200 | + | 0.987407i | ||||
\(46\) | −6.13983 | + | 10.6345i | −0.905268 | + | 1.56797i | ||||
\(47\) | 0.190266 | − | 0.226750i | 0.0277531 | − | 0.0330749i | −0.751989 | − | 0.659175i | \(-0.770906\pi\) |
0.779742 | + | 0.626100i | \(0.215350\pi\) | |||||||
\(48\) | −11.1461 | − | 4.92150i | −1.60880 | − | 0.710357i | ||||
\(49\) | −4.21423 | − | 5.58930i | −0.602033 | − | 0.798471i | ||||
\(50\) | −0.776154 | − | 12.6935i | −0.109765 | − | 1.79513i | ||||
\(51\) | 0.743834 | + | 2.56423i | 0.104158 | + | 0.359064i | ||||
\(52\) | 18.8223 | − | 6.85075i | 2.61018 | − | 0.950028i | ||||
\(53\) | −7.21473 | −0.991019 | −0.495510 | − | 0.868602i | \(-0.665019\pi\) | ||||
−0.495510 | + | 0.868602i | \(0.665019\pi\) | |||||||
\(54\) | 4.83742 | − | 12.2990i | 0.658290 | − | 1.67368i | ||||
\(55\) | −0.746175 | − | 1.48041i | −0.100614 | − | 0.199619i | ||||
\(56\) | −9.17249 | − | 13.8540i | −1.22573 | − | 1.85132i | ||||
\(57\) | 3.08956 | − | 3.21912i | 0.409223 | − | 0.426382i | ||||
\(58\) | −7.95519 | − | 9.48063i | −1.04457 | − | 1.24487i | ||||
\(59\) | −1.47111 | − | 8.34311i | −0.191523 | − | 1.08618i | −0.917284 | − | 0.398233i | \(-0.869623\pi\) |
0.725761 | − | 0.687947i | \(-0.241488\pi\) | |||||||
\(60\) | −7.87792 | + | 15.4120i | −1.01703 | + | 1.98968i | ||||
\(61\) | 2.03914 | − | 2.43015i | 0.261085 | − | 0.311148i | −0.619538 | − | 0.784967i | \(-0.712680\pi\) |
0.880623 | + | 0.473818i | \(0.157125\pi\) | |||||||
\(62\) | −17.9872 | − | 10.3849i | −2.28437 | − | 1.31888i | ||||
\(63\) | 6.43270 | − | 4.64978i | 0.810443 | − | 0.585817i | ||||
\(64\) | 0.253630 | + | 0.439300i | 0.0317037 | + | 0.0549125i | ||||
\(65\) | −2.88821 | − | 9.59675i | −0.358238 | − | 1.19033i | ||||
\(66\) | −0.217801 | + | 3.25889i | −0.0268094 | + | 0.401142i | ||||
\(67\) | 4.52044 | − | 12.4198i | 0.552259 | − | 1.51732i | −0.278359 | − | 0.960477i | \(-0.589791\pi\) |
0.830618 | − | 0.556842i | \(-0.187987\pi\) | |||||||
\(68\) | −2.35619 | + | 6.47359i | −0.285731 | + | 0.785038i | ||||
\(69\) | −3.68891 | − | 7.50465i | −0.444093 | − | 0.903453i | ||||
\(70\) | −12.9973 | + | 7.58205i | −1.55348 | + | 0.906229i | ||||
\(71\) | −0.774450 | + | 0.447129i | −0.0919103 | + | 0.0530644i | −0.545251 | − | 0.838273i | \(-0.683566\pi\) |
0.453340 | + | 0.891337i | \(0.350232\pi\) | |||||||
\(72\) | 15.9154 | − | 10.0819i | 1.87565 | − | 1.18816i | ||||
\(73\) | 7.05268 | − | 12.2156i | 0.825454 | − | 1.42973i | −0.0761186 | − | 0.997099i | \(-0.524253\pi\) |
0.901572 | − | 0.432629i | \(-0.142414\pi\) | |||||||
\(74\) | −8.36341 | + | 9.96713i | −0.972227 | + | 1.15866i | ||||
\(75\) | 7.47535 | + | 4.37254i | 0.863180 | + | 0.504897i | ||||
\(76\) | 11.3377 | − | 1.99914i | 1.30052 | − | 0.229318i | ||||
\(77\) | −1.16657 | + | 1.57698i | −0.132943 | + | 0.179714i | ||||
\(78\) | −4.71764 | + | 19.1728i | −0.534167 | + | 2.17089i | ||||
\(79\) | 14.0134 | − | 5.10046i | 1.57663 | − | 0.573846i | 0.602161 | − | 0.798374i | \(-0.294306\pi\) |
0.974468 | + | 0.224528i | \(0.0720841\pi\) | |||||||
\(80\) | −14.0465 | + | 7.07987i | −1.57045 | + | 0.791554i | ||||
\(81\) | 5.12426 | + | 7.39878i | 0.569363 | + | 0.822086i | ||||
\(82\) | −20.9472 | −2.31324 | ||||||||
\(83\) | 2.88480 | + | 7.92592i | 0.316648 | + | 0.869983i | 0.991273 | + | 0.131823i | \(0.0420830\pi\) |
−0.674625 | + | 0.738160i | \(0.735695\pi\) | |||||||
\(84\) | 20.4796 | + | 0.112856i | 2.23451 | + | 0.0123136i | ||||
\(85\) | 3.16694 | + | 1.36066i | 0.343503 | + | 0.147584i | ||||
\(86\) | 23.5824 | − | 4.15822i | 2.54296 | − | 0.448392i | ||||
\(87\) | 8.37903 | − | 0.906769i | 0.898326 | − | 0.0972159i | ||||
\(88\) | −2.99283 | + | 3.56672i | −0.319037 | + | 0.380213i | ||||
\(89\) | −3.71773 | + | 6.43929i | −0.394078 | + | 0.682564i | −0.992983 | − | 0.118257i | \(-0.962269\pi\) |
0.598905 | + | 0.800820i | \(0.295603\pi\) | |||||||
\(90\) | −8.29845 | − | 14.9079i | −0.874733 | − | 1.57143i | ||||
\(91\) | −8.60046 | + | 8.16377i | −0.901574 | + | 0.855795i | ||||
\(92\) | 3.74674 | − | 21.2488i | 0.390625 | − | 2.21535i | ||||
\(93\) | 12.6933 | − | 6.23942i | 1.31624 | − | 0.646998i | ||||
\(94\) | −0.257494 | + | 0.707458i | −0.0265584 | + | 0.0729687i | ||||
\(95\) | −0.676994 | − | 5.72030i | −0.0694581 | − | 0.586891i | ||||
\(96\) | 9.21497 | + | 0.615862i | 0.940498 | + | 0.0628561i | ||||
\(97\) | −0.473281 | + | 2.68411i | −0.0480544 | + | 0.272530i | −0.999362 | − | 0.0357128i | \(-0.988630\pi\) |
0.951308 | + | 0.308243i | \(0.0997410\pi\) | |||||||
\(98\) | 14.9344 | + | 9.69273i | 1.50860 | + | 0.979113i | ||||
\(99\) | −1.76110 | − | 1.35854i | −0.176998 | − | 0.136539i | ||||
\(100\) | 8.90989 | + | 20.4923i | 0.890989 | + | 2.04923i | ||||
\(101\) | −3.99029 | − | 3.34825i | −0.397048 | − | 0.333163i | 0.422303 | − | 0.906455i | \(-0.361222\pi\) |
−0.819351 | + | 0.573292i | \(0.805666\pi\) | |||||||
\(102\) | −4.00844 | − | 5.48157i | −0.396895 | − | 0.542756i | ||||
\(103\) | 1.83483 | + | 10.4059i | 0.180792 | + | 1.02532i | 0.931244 | + | 0.364396i | \(0.118724\pi\) |
−0.750453 | + | 0.660924i | \(0.770164\pi\) | |||||||
\(104\) | −21.5616 | + | 18.0923i | −2.11428 | + | 1.77410i | ||||
\(105\) | 0.637381 | − | 10.2271i | 0.0622020 | − | 0.998064i | ||||
\(106\) | 17.2436 | − | 6.27615i | 1.67485 | − | 0.609594i | ||||
\(107\) | 14.1118 | 1.36424 | 0.682122 | − | 0.731238i | \(-0.261057\pi\) | ||||
0.682122 | + | 0.731238i | \(0.261057\pi\) | |||||||
\(108\) | −0.595993 | + | 23.2144i | −0.0573495 | + | 2.23381i | ||||
\(109\) | −5.85360 | −0.560673 | −0.280337 | − | 0.959902i | \(-0.590446\pi\) | ||||
−0.280337 | + | 0.959902i | \(0.590446\pi\) | |||||||
\(110\) | 3.07122 | + | 2.88916i | 0.292829 | + | 0.275471i | ||||
\(111\) | −2.46848 | − | 8.50963i | −0.234298 | − | 0.807699i | ||||
\(112\) | 14.9628 | + | 11.0687i | 1.41385 | + | 1.04589i | ||||
\(113\) | 2.41576 | + | 13.7004i | 0.227255 | + | 1.28883i | 0.858326 | + | 0.513104i | \(0.171505\pi\) |
−0.631071 | + | 0.775725i | \(0.717384\pi\) | |||||||
\(114\) | −4.58388 | + | 10.3815i | −0.429320 | + | 0.972316i | ||||
\(115\) | −10.5083 | − | 2.47446i | −0.979900 | − | 0.230744i | ||||
\(116\) | 18.8327 | + | 10.8730i | 1.74857 | + | 1.00954i | ||||
\(117\) | −9.05840 | − | 9.93661i | −0.837449 | − | 0.918640i | ||||
\(118\) | 10.7738 | + | 18.6607i | 0.991807 | + | 1.71786i | ||||
\(119\) | −0.249535 | − | 4.07075i | −0.0228749 | − | 0.373165i | ||||
\(120\) | 2.99534 | − | 24.1372i | 0.273435 | − | 2.20341i | ||||
\(121\) | −9.82009 | − | 3.57422i | −0.892735 | − | 0.324929i | ||||
\(122\) | −2.75964 | + | 7.58204i | −0.249846 | + | 0.686446i | ||||
\(123\) | 7.94032 | − | 11.8506i | 0.715954 | − | 1.06853i | ||||
\(124\) | 35.9402 | + | 6.33723i | 3.22753 | + | 0.569100i | ||||
\(125\) | 10.4894 | − | 3.86944i | 0.938200 | − | 0.346093i | ||||
\(126\) | −11.3296 | + | 16.7091i | −1.00932 | + | 1.48856i | ||||
\(127\) | 5.83188 | + | 3.36704i | 0.517496 | + | 0.298776i | 0.735909 | − | 0.677080i | \(-0.236755\pi\) |
−0.218414 | + | 0.975856i | \(0.570088\pi\) | |||||||
\(128\) | −9.15764 | − | 7.68417i | −0.809429 | − | 0.679191i | ||||
\(129\) | −6.58678 | + | 14.9176i | −0.579933 | + | 1.31342i | ||||
\(130\) | 15.2513 | + | 20.4243i | 1.33762 | + | 1.79133i | ||||
\(131\) | 3.66473 | − | 3.07508i | 0.320189 | − | 0.268671i | −0.468499 | − | 0.883464i | \(-0.655205\pi\) |
0.788688 | + | 0.614793i | \(0.210761\pi\) | |||||||
\(132\) | −1.59886 | − | 5.51177i | −0.139163 | − | 0.479738i | ||||
\(133\) | −5.68291 | + | 3.76255i | −0.492771 | + | 0.326255i | ||||
\(134\) | 33.6163i | 2.90401i | ||||||||
\(135\) | 11.5795 | + | 0.956311i | 0.996607 | + | 0.0823061i | ||||
\(136\) | − | 9.68053i | − | 0.830099i | ||||||
\(137\) | 11.5492 | − | 4.20355i | 0.986711 | − | 0.359133i | 0.202265 | − | 0.979331i | \(-0.435170\pi\) |
0.784446 | + | 0.620198i | \(0.212948\pi\) | |||||||
\(138\) | 15.3451 | + | 14.7275i | 1.30626 | + | 1.25369i | ||||
\(139\) | 0.986486 | + | 1.17565i | 0.0836727 | + | 0.0997172i | 0.806257 | − | 0.591566i | \(-0.201490\pi\) |
−0.722584 | + | 0.691283i | \(0.757046\pi\) | |||||||
\(140\) | 16.9039 | − | 20.3300i | 1.42864 | − | 1.71820i | ||||
\(141\) | −0.302627 | − | 0.413844i | −0.0254858 | − | 0.0348519i | ||||
\(142\) | 1.46202 | − | 1.74236i | 0.122690 | − | 0.146216i | ||||
\(143\) | 2.87775 | + | 1.66147i | 0.240649 | + | 0.138939i | ||||
\(144\) | −12.8901 | + | 16.7098i | −1.07418 | + | 1.39248i | ||||
\(145\) | 5.96575 | − | 9.09911i | 0.495428 | − | 0.755640i | ||||
\(146\) | −6.22983 | + | 35.3311i | −0.515584 | + | 2.92402i | ||||
\(147\) | −11.1446 | + | 4.77475i | −0.919190 | + | 0.393815i | ||||
\(148\) | 7.81926 | − | 21.4832i | 0.642739 | − | 1.76591i | ||||
\(149\) | 3.68673 | − | 10.1292i | 0.302029 | − | 0.829817i | −0.692118 | − | 0.721784i | \(-0.743322\pi\) |
0.994147 | − | 0.108033i | \(-0.0344553\pi\) | |||||||
\(150\) | −21.6702 | − | 3.94772i | −1.76936 | − | 0.322330i | ||||
\(151\) | −0.0756148 | + | 0.428833i | −0.00615344 | + | 0.0348979i | −0.987730 | − | 0.156172i | \(-0.950085\pi\) |
0.981576 | + | 0.191070i | \(0.0611957\pi\) | |||||||
\(152\) | −14.0102 | + | 8.08879i | −1.13638 | + | 0.656088i | ||||
\(153\) | 4.62056 | − | 0.189854i | 0.373550 | − | 0.0153488i | ||||
\(154\) | 1.41634 | − | 4.78388i | 0.114132 | − | 0.385496i | ||||
\(155\) | 4.18529 | − | 17.7736i | 0.336171 | − | 1.42761i | ||||
\(156\) | −3.73269 | − | 34.4920i | −0.298854 | − | 2.76157i | ||||
\(157\) | −2.90797 | − | 16.4919i | −0.232081 | − | 1.31620i | −0.848675 | − | 0.528915i | \(-0.822599\pi\) |
0.616594 | − | 0.787281i | \(-0.288512\pi\) | |||||||
\(158\) | −29.0558 | + | 24.3807i | −2.31156 | + | 1.93963i | ||||
\(159\) | −2.98577 | + | 12.1343i | −0.236787 | + | 0.962316i | ||||
\(160\) | 8.16952 | − | 8.68430i | 0.645857 | − | 0.686555i | ||||
\(161\) | 2.98363 | + | 12.4203i | 0.235143 | + | 0.978854i | ||||
\(162\) | −18.6835 | − | 13.2258i | −1.46792 | − | 1.03912i | ||||
\(163\) | − | 12.8858i | − | 1.00929i | −0.863326 | − | 0.504646i | \(-0.831623\pi\) | ||
0.863326 | − | 0.504646i | \(-0.168377\pi\) | |||||||
\(164\) | 34.5868 | − | 12.5886i | 2.70078 | − | 0.983002i | ||||
\(165\) | −2.79868 | + | 0.642319i | −0.217877 | + | 0.0500045i | ||||
\(166\) | −13.7897 | − | 16.4339i | −1.07028 | − | 1.27552i | ||||
\(167\) | 10.2701 | − | 1.81089i | 0.794722 | − | 0.140131i | 0.238476 | − | 0.971148i | \(-0.423352\pi\) |
0.556246 | + | 0.831017i | \(0.312241\pi\) | |||||||
\(168\) | −27.0968 | + | 9.69367i | −2.09057 | + | 0.747883i | ||||
\(169\) | 5.42962 | + | 4.55599i | 0.417663 | + | 0.350461i | ||||
\(170\) | −8.75281 | − | 0.497094i | −0.671310 | − | 0.0381254i | ||||
\(171\) | −4.13558 | − | 6.52850i | −0.316256 | − | 0.499247i | ||||
\(172\) | −36.4389 | + | 21.0380i | −2.77844 | + | 1.60413i | ||||
\(173\) | 14.4406 | + | 2.54627i | 1.09790 | + | 0.193589i | 0.693118 | − | 0.720824i | \(-0.256236\pi\) |
0.404782 | + | 0.914413i | \(0.367347\pi\) | |||||||
\(174\) | −19.2375 | + | 9.45621i | −1.45839 | + | 0.716874i | ||||
\(175\) | −9.67598 | − | 9.02083i | −0.731435 | − | 0.681911i | ||||
\(176\) | 1.78380 | − | 4.90096i | 0.134459 | − | 0.369424i | ||||
\(177\) | −14.6409 | − | 0.978496i | −1.10048 | − | 0.0735482i | ||||
\(178\) | 3.28397 | − | 18.6243i | 0.246144 | − | 1.39595i | ||||
\(179\) | −6.16591 | + | 3.55989i | −0.460862 | + | 0.266079i | −0.712407 | − | 0.701767i | \(-0.752395\pi\) |
0.251545 | + | 0.967846i | \(0.419061\pi\) | |||||||
\(180\) | 22.6610 | + | 19.6279i | 1.68905 | + | 1.46298i | ||||
\(181\) | 17.4008 | + | 10.0463i | 1.29339 | + | 0.746739i | 0.979254 | − | 0.202639i | \(-0.0649518\pi\) |
0.314136 | + | 0.949378i | \(0.398285\pi\) | |||||||
\(182\) | 13.4538 | − | 26.9934i | 0.997265 | − | 2.00089i | ||||
\(183\) | −3.24334 | − | 4.43529i | −0.239755 | − | 0.327866i | ||||
\(184\) | 5.26495 | + | 29.8590i | 0.388137 | + | 2.20123i | ||||
\(185\) | −10.5098 | − | 4.51547i | −0.772696 | − | 0.331984i | ||||
\(186\) | −24.9100 | + | 25.9546i | −1.82649 | + | 1.90308i | ||||
\(187\) | −1.07394 | + | 0.390883i | −0.0785344 | + | 0.0285842i | ||||
\(188\) | − | 1.32286i | − | 0.0964792i | ||||||
\(189\) | −5.15826 | − | 12.7433i | −0.375208 | − | 0.926941i | ||||
\(190\) | 6.59419 | + | 13.0829i | 0.478393 | + | 0.949134i | ||||
\(191\) | 2.42277 | + | 6.65652i | 0.175306 | + | 0.481649i | 0.995962 | − | 0.0897733i | \(-0.0286143\pi\) |
−0.820656 | + | 0.571422i | \(0.806392\pi\) | |||||||
\(192\) | 0.843815 | − | 0.244775i | 0.0608971 | − | 0.0176651i | ||||
\(193\) | −0.593111 | − | 0.706843i | −0.0426931 | − | 0.0508796i | 0.744275 | − | 0.667873i | \(-0.232795\pi\) |
−0.786968 | + | 0.616993i | \(0.788351\pi\) | |||||||
\(194\) | −1.20376 | − | 6.82688i | −0.0864251 | − | 0.490141i | ||||
\(195\) | −17.3359 | + | 0.886075i | −1.24145 | + | 0.0634532i | ||||
\(196\) | −30.4838 | − | 7.02897i | −2.17741 | − | 0.502069i | ||||
\(197\) | −3.64955 | + | 6.32121i | −0.260020 | + | 0.450368i | −0.966247 | − | 0.257618i | \(-0.917062\pi\) |
0.706227 | + | 0.707985i | \(0.250396\pi\) | |||||||
\(198\) | 5.39094 | + | 1.71499i | 0.383117 | + | 0.121879i | ||||
\(199\) | −7.77362 | + | 4.48810i | −0.551057 | + | 0.318153i | −0.749548 | − | 0.661950i | \(-0.769729\pi\) |
0.198491 | + | 0.980103i | \(0.436396\pi\) | |||||||
\(200\) | −21.6139 | − | 22.7771i | −1.52834 | − | 1.61058i | ||||
\(201\) | −19.0179 | − | 12.7427i | −1.34142 | − | 0.898801i | ||||
\(202\) | 12.4497 | + | 4.53131i | 0.875955 | + | 0.318822i | ||||
\(203\) | −12.7914 | − | 1.45562i | −0.897777 | − | 0.102165i | ||||
\(204\) | 9.91273 | + | 6.64190i | 0.694030 | + | 0.465026i | ||||
\(205\) | −5.30721 | − | 17.6345i | −0.370672 | − | 1.23164i | ||||
\(206\) | −13.4375 | − | 23.2744i | −0.936235 | − | 1.62161i | ||||
\(207\) | −14.1486 | + | 3.09858i | −0.983394 | + | 0.215366i | ||||
\(208\) | 15.7644 | − | 27.3047i | 1.09306 | − | 1.89324i | ||||
\(209\) | 1.46306 | + | 1.22766i | 0.101202 | + | 0.0849188i | ||||
\(210\) | 7.37327 | + | 24.9978i | 0.508804 | + | 1.72501i | ||||
\(211\) | −0.598558 | − | 3.39459i | −0.0412064 | − | 0.233693i | 0.957248 | − | 0.289268i | \(-0.0934120\pi\) |
−0.998455 | + | 0.0555749i | \(0.982301\pi\) | |||||||
\(212\) | −24.6998 | + | 20.7256i | −1.69639 | + | 1.42344i | ||||
\(213\) | 0.431518 | + | 1.48758i | 0.0295671 | + | 0.101927i | ||||
\(214\) | −33.7281 | + | 12.2760i | −2.30560 | + | 0.839171i | ||||
\(215\) | 9.47547 | + | 18.7994i | 0.646222 | + | 1.28211i | ||||
\(216\) | −10.3701 | − | 30.9402i | −0.705594 | − | 2.10521i | ||||
\(217\) | −21.0076 | + | 5.04651i | −1.42609 | + | 0.342579i | ||||
\(218\) | 13.9904 | − | 5.09210i | 0.947551 | − | 0.344880i | ||||
\(219\) | −17.6265 | − | 16.9171i | −1.19109 | − | 1.14315i | ||||
\(220\) | −6.80730 | − | 2.92471i | −0.458948 | − | 0.197184i | ||||
\(221\) | −6.80391 | + | 1.19971i | −0.457680 | + | 0.0807014i | ||||
\(222\) | 13.3024 | + | 18.1911i | 0.892799 | + | 1.22091i | ||||
\(223\) | 3.87043 | + | 3.24767i | 0.259183 | + | 0.217480i | 0.763115 | − | 0.646263i | \(-0.223669\pi\) |
−0.503932 | + | 0.863744i | \(0.668114\pi\) | |||||||
\(224\) | −13.5271 | − | 4.00490i | −0.903817 | − | 0.267589i | ||||
\(225\) | 10.4477 | − | 10.7631i | 0.696515 | − | 0.717542i | ||||
\(226\) | −17.6919 | − | 30.6433i | −1.17685 | − | 2.03836i | ||||
\(227\) | 13.0401 | + | 2.29932i | 0.865503 | + | 0.152611i | 0.588736 | − | 0.808326i | \(-0.299626\pi\) |
0.276767 | + | 0.960937i | \(0.410737\pi\) | |||||||
\(228\) | 1.32971 | − | 19.8960i | 0.0880621 | − | 1.31765i | ||||
\(229\) | −6.84571 | + | 18.8084i | −0.452377 | + | 1.24290i | 0.478670 | + | 0.877995i | \(0.341119\pi\) |
−0.931047 | + | 0.364900i | \(0.881103\pi\) | |||||||
\(230\) | 27.2678 | − | 3.22713i | 1.79799 | − | 0.212791i | ||||
\(231\) | 2.16952 | + | 2.61466i | 0.142744 | + | 0.172032i | ||||
\(232\) | −30.0935 | − | 5.30629i | −1.97573 | − | 0.348375i | ||||
\(233\) | 13.3489 | + | 23.1211i | 0.874519 | + | 1.51471i | 0.857275 | + | 0.514860i | \(0.172156\pi\) |
0.0172442 | + | 0.999851i | \(0.494511\pi\) | |||||||
\(234\) | 30.2940 | + | 15.8690i | 1.98038 | + | 1.03739i | ||||
\(235\) | −0.660813 | − | 0.0375293i | −0.0431067 | − | 0.00244814i | ||||
\(236\) | −29.0035 | − | 24.3368i | −1.88796 | − | 1.58419i | ||||
\(237\) | −2.77903 | − | 25.6797i | −0.180517 | − | 1.66807i | ||||
\(238\) | 4.13758 | + | 9.51224i | 0.268200 | + | 0.616587i | ||||
\(239\) | −15.6258 | − | 18.6221i | −1.01075 | − | 1.20456i | −0.978746 | − | 0.205075i | \(-0.934256\pi\) |
−0.0320019 | − | 0.999488i | \(-0.510188\pi\) | |||||||
\(240\) | 6.09447 | + | 26.5545i | 0.393396 | + | 1.71409i | ||||
\(241\) | −1.41743 | − | 3.89436i | −0.0913047 | − | 0.250858i | 0.885632 | − | 0.464388i | \(-0.153726\pi\) |
−0.976936 | + | 0.213531i | \(0.931504\pi\) | |||||||
\(242\) | 26.5798 | 1.70861 | ||||||||
\(243\) | 14.5645 | − | 5.55648i | 0.934315 | − | 0.356448i | ||||
\(244\) | − | 14.1774i | − | 0.907618i | ||||||
\(245\) | −4.37604 | + | 15.0283i | −0.279575 | + | 0.960124i | ||||
\(246\) | −8.66888 | + | 35.2308i | −0.552707 | + | 2.24624i | ||||
\(247\) | 7.42145 | + | 8.84454i | 0.472216 | + | 0.562765i | ||||
\(248\) | −50.5034 | + | 8.90512i | −3.20697 | + | 0.565475i | ||||
\(249\) | 14.5243 | − | 1.57181i | 0.920443 | − | 0.0996093i | ||||
\(250\) | −21.7042 | + | 18.3730i | −1.37269 | + | 1.16201i | ||||
\(251\) | 7.75081 | − | 13.4248i | 0.489227 | − | 0.847365i | −0.510697 | − | 0.859761i | \(-0.670612\pi\) |
0.999923 | + | 0.0123956i | \(0.00394575\pi\) | |||||||
\(252\) | 8.66518 | − | 34.3977i | 0.545855 | − | 2.16685i | ||||
\(253\) | 3.09992 | − | 1.78974i | 0.194890 | − | 0.112520i | ||||
\(254\) | −16.8675 | − | 2.97420i | −1.05836 | − | 0.186618i | ||||
\(255\) | 3.59909 | − | 4.76333i | 0.225384 | − | 0.298291i | ||||
\(256\) | 27.6184 | + | 10.0523i | 1.72615 | + | 0.628268i | ||||
\(257\) | −9.65902 | + | 26.5379i | −0.602513 | + | 1.65539i | 0.143650 | + | 0.989629i | \(0.454116\pi\) |
−0.746163 | + | 0.665763i | \(0.768106\pi\) | |||||||
\(258\) | 2.76579 | − | 41.3838i | 0.172191 | − | 2.57644i | ||||
\(259\) | 0.828107 | + | 13.5092i | 0.0514561 | + | 0.839419i | ||||
\(260\) | −37.4562 | − | 24.5578i | −2.32294 | − | 1.52301i | ||||
\(261\) | 1.94253 | − | 14.4678i | 0.120239 | − | 0.895535i | ||||
\(262\) | −6.08387 | + | 10.5376i | −0.375863 | + | 0.651014i | ||||
\(263\) | −5.36619 | − | 4.50276i | −0.330893 | − | 0.277652i | 0.462171 | − | 0.886791i | \(-0.347071\pi\) |
−0.793064 | + | 0.609139i | \(0.791515\pi\) | |||||||
\(264\) | 4.76024 | + | 6.50965i | 0.292972 | + | 0.400641i | ||||
\(265\) | 9.65244 | + | 12.9264i | 0.592945 | + | 0.794063i | ||||
\(266\) | 10.3094 | − | 13.9363i | 0.632109 | − | 0.854490i | ||||
\(267\) | 9.29159 | + | 8.91765i | 0.568636 | + | 0.545751i | ||||
\(268\) | −20.2022 | − | 55.5052i | −1.23405 | − | 3.39052i | ||||
\(269\) | 23.6685 | 1.44309 | 0.721546 | − | 0.692366i | \(-0.243432\pi\) | ||||
0.721546 | + | 0.692366i | \(0.243432\pi\) | |||||||
\(270\) | −28.5076 | + | 7.78749i | −1.73492 | + | 0.473932i | ||||
\(271\) | 3.15216i | 0.191480i | 0.995406 | + | 0.0957399i | \(0.0305217\pi\) | ||||
−0.995406 | + | 0.0957399i | \(0.969478\pi\) | |||||||
\(272\) | 3.70879 | + | 10.1898i | 0.224878 | + | 0.617848i | ||||
\(273\) | 10.1713 | + | 17.8435i | 0.615593 | + | 1.07994i | ||||
\(274\) | −23.9464 | + | 20.0934i | −1.44665 | + | 1.21389i | ||||
\(275\) | −1.65412 | + | 3.31751i | −0.0997472 | + | 0.200054i | ||||
\(276\) | −34.1875 | − | 15.0953i | −2.05785 | − | 0.908629i | ||||
\(277\) | −2.11219 | + | 2.51722i | −0.126909 | + | 0.151245i | −0.825757 | − | 0.564025i | \(-0.809252\pi\) |
0.698848 | + | 0.715270i | \(0.253696\pi\) | |||||||
\(278\) | −3.38046 | − | 1.95171i | −0.202747 | − | 0.117056i | ||||
\(279\) | −5.24092 | − | 23.9309i | −0.313766 | − | 1.43270i | ||||
\(280\) | −12.5501 | + | 34.9691i | −0.750013 | + | 2.08980i | ||||
\(281\) | 29.4169 | + | 5.18700i | 1.75487 | + | 0.309431i | 0.956281 | − | 0.292449i | \(-0.0944703\pi\) |
0.798587 | + | 0.601880i | \(0.205581\pi\) | |||||||
\(282\) | 1.08330 | + | 0.725851i | 0.0645096 | + | 0.0432238i | ||||
\(283\) | −5.05630 | − | 1.84034i | −0.300566 | − | 0.109397i | 0.187335 | − | 0.982296i | \(-0.440015\pi\) |
−0.487901 | + | 0.872899i | \(0.662237\pi\) | |||||||
\(284\) | −1.36689 | + | 3.75550i | −0.0811100 | + | 0.222848i | ||||
\(285\) | −9.90105 | − | 1.22868i | −0.586488 | − | 0.0727810i | ||||
\(286\) | −8.32329 | − | 1.46762i | −0.492167 | − | 0.0867823i | ||||
\(287\) | −15.8037 | + | 15.0013i | −0.932866 | + | 0.885498i | ||||
\(288\) | 4.84936 | − | 15.2436i | 0.285751 | − | 0.898240i | ||||
\(289\) | −7.31191 | + | 12.6646i | −0.430112 | + | 0.744976i | ||||
\(290\) | −6.34306 | + | 26.9370i | −0.372477 | + | 1.58180i | ||||
\(291\) | 4.31850 | + | 1.90681i | 0.253155 | + | 0.111779i | ||||
\(292\) | −10.9465 | − | 62.0805i | −0.640593 | − | 3.63298i | ||||
\(293\) | −14.8565 | − | 17.7053i | −0.867926 | − | 1.03435i | −0.999075 | − | 0.0429915i | \(-0.986311\pi\) |
0.131149 | − | 0.991363i | \(-0.458133\pi\) | |||||||
\(294\) | 22.4825 | − | 21.1067i | 1.31121 | − | 1.23097i | ||||
\(295\) | −12.9799 | + | 13.7978i | −0.755720 | + | 0.803340i | ||||
\(296\) | 32.1258i | 1.86727i | ||||||||
\(297\) | −3.01373 | + | 2.39975i | −0.174874 | + | 0.139248i | ||||
\(298\) | 27.4165i | 1.58819i | ||||||||
\(299\) | 20.3337 | − | 7.40087i | 1.17593 | − | 0.428004i | ||||
\(300\) | 38.1529 | − | 6.50480i | 2.20276 | − | 0.375555i | ||||
\(301\) | 14.8140 | − | 20.0257i | 0.853864 | − | 1.15426i | ||||
\(302\) | −0.192322 | − | 1.09071i | −0.0110669 | − | 0.0627633i | ||||
\(303\) | −7.28272 | + | 5.32555i | −0.418381 | + | 0.305945i | ||||
\(304\) | 11.6483 | − | 13.8819i | 0.668075 | − | 0.796181i | ||||
\(305\) | −7.08214 | − | 0.402213i | −0.405522 | − | 0.0230306i | ||||
\(306\) | −10.8782 | + | 4.47323i | −0.621867 | + | 0.255717i | ||||
\(307\) | 10.5131 | + | 18.2093i | 0.600017 | + | 1.03926i | 0.992818 | + | 0.119636i | \(0.0381728\pi\) |
−0.392801 | + | 0.919624i | \(0.628494\pi\) | |||||||
\(308\) | 0.536373 | + | 8.75002i | 0.0305627 | + | 0.498579i | ||||
\(309\) | 18.2608 | + | 1.22042i | 1.03882 | + | 0.0694272i | ||||
\(310\) | 5.45836 | + | 46.1207i | 0.310014 | + | 2.61948i | ||||
\(311\) | 18.6776 | + | 6.79811i | 1.05911 | + | 0.385485i | 0.812095 | − | 0.583526i | \(-0.198327\pi\) |
0.247018 | + | 0.969011i | \(0.420549\pi\) | |||||||
\(312\) | 21.5060 | + | 43.7514i | 1.21754 | + | 2.47694i | ||||
\(313\) | 3.83618 | − | 21.7561i | 0.216834 | − | 1.22973i | −0.660862 | − | 0.750508i | \(-0.729809\pi\) |
0.877696 | − | 0.479219i | \(-0.159080\pi\) | |||||||
\(314\) | 21.2966 | + | 36.8868i | 1.20184 | + | 2.08165i | ||||
\(315\) | −16.9370 | − | 5.30442i | −0.954294 | − | 0.298870i | ||||
\(316\) | 33.3232 | − | 57.7175i | 1.87458 | − | 3.24686i | ||||
\(317\) | −3.01300 | − | 2.52821i | −0.169227 | − | 0.141998i | 0.554241 | − | 0.832356i | \(-0.313009\pi\) |
−0.723468 | + | 0.690358i | \(0.757453\pi\) | |||||||
\(318\) | −3.41961 | − | 31.5991i | −0.191762 | − | 1.77199i | ||||
\(319\) | 0.626451 | + | 3.55278i | 0.0350745 | + | 0.198917i | ||||
\(320\) | 0.447754 | − | 1.04215i | 0.0250302 | − | 0.0582580i | ||||
\(321\) | 5.84010 | − | 23.7345i | 0.325962 | − | 1.32473i | ||||
\(322\) | −17.9355 | − | 27.0896i | −0.999508 | − | 1.50964i | ||||
\(323\) | −3.97095 | −0.220950 | ||||||||
\(324\) | 38.7974 | + | 10.6095i | 2.15541 | + | 0.589419i | ||||
\(325\) | −13.3301 | + | 18.0140i | −0.739423 | + | 0.999237i | ||||
\(326\) | 11.2095 | + | 30.7977i | 0.620834 | + | 1.70573i | ||||
\(327\) | −2.42247 | + | 9.84508i | −0.133963 | + | 0.544434i | ||||
\(328\) | −39.6204 | + | 33.2454i | −2.18767 | + | 1.83567i | ||||
\(329\) | 0.312376 | + | 0.718148i | 0.0172219 | + | 0.0395928i | ||||
\(330\) | 6.13024 | − | 3.96978i | 0.337459 | − | 0.218529i | ||||
\(331\) | −27.7622 | − | 23.2952i | −1.52595 | − | 1.28042i | −0.820469 | − | 0.571691i | \(-0.806288\pi\) |
−0.705479 | − | 0.708731i | \(-0.749268\pi\) | |||||||
\(332\) | 32.6448 | + | 18.8475i | 1.79162 | + | 1.03439i | ||||
\(333\) | −15.3338 | + | 0.630048i | −0.840286 | + | 0.0345264i | ||||
\(334\) | −22.9707 | + | 13.2621i | −1.25690 | + | 0.725672i | ||||
\(335\) | −28.3000 | + | 8.51706i | −1.54619 | + | 0.465337i | ||||
\(336\) | 24.8085 | − | 20.5849i | 1.35342 | − | 1.12300i | ||||
\(337\) | 0.198807 | − | 0.546218i | 0.0108297 | − | 0.0297544i | −0.934160 | − | 0.356854i | \(-0.883849\pi\) |
0.944990 | + | 0.327100i | \(0.106071\pi\) | |||||||
\(338\) | −16.9404 | − | 6.16579i | −0.921435 | − | 0.335375i | ||||
\(339\) | 24.0423 | + | 1.60681i | 1.30580 | + | 0.0872702i | ||||
\(340\) | 14.7508 | − | 4.43936i | 0.799976 | − | 0.240758i | ||||
\(341\) | 3.02716 | + | 5.24319i | 0.163930 | + | 0.283935i | ||||
\(342\) | 15.5635 | + | 12.0059i | 0.841575 | + | 0.649203i | ||||
\(343\) | 18.2088 | − | 3.38250i | 0.983180 | − | 0.182638i | ||||
\(344\) | 38.0051 | − | 45.2928i | 2.04910 | − | 2.44202i | ||||
\(345\) | −8.51053 | + | 16.6496i | −0.458191 | + | 0.896386i | ||||
\(346\) | −36.7289 | + | 6.47629i | −1.97456 | + | 0.348168i | ||||
\(347\) | −26.3941 | + | 22.1472i | −1.41691 | + | 1.18893i | −0.463934 | + | 0.885870i | \(0.653563\pi\) |
−0.952973 | + | 0.303056i | \(0.901993\pi\) | |||||||
\(348\) | 26.0810 | − | 27.1746i | 1.39809 | − | 1.45671i | ||||
\(349\) | 4.81070 | + | 13.2173i | 0.257511 | + | 0.707505i | 0.999319 | + | 0.0368933i | \(0.0117462\pi\) |
−0.741808 | + | 0.670612i | \(0.766032\pi\) | |||||||
\(350\) | 30.9734 | + | 13.1431i | 1.65560 | + | 0.702526i | ||||
\(351\) | −20.4610 | + | 11.1230i | −1.09213 | + | 0.593701i | ||||
\(352\) | 3.95327i | 0.210710i | ||||||||
\(353\) | 11.5048 | + | 31.6091i | 0.612337 | + | 1.68238i | 0.724999 | + | 0.688750i | \(0.241840\pi\) |
−0.112662 | + | 0.993633i | \(0.535938\pi\) | |||||||
\(354\) | 35.8438 | − | 10.3976i | 1.90508 | − | 0.552627i | ||||
\(355\) | 1.83723 | + | 0.789353i | 0.0975099 | + | 0.0418945i | ||||
\(356\) | 5.77029 | + | 32.7249i | 0.305824 | + | 1.73442i | ||||
\(357\) | −6.94980 | − | 1.26496i | −0.367822 | − | 0.0669490i | ||||
\(358\) | 11.6401 | − | 13.8721i | 0.615197 | − | 0.733163i | ||||
\(359\) | −25.4663 | − | 14.7030i | −1.34406 | − | 0.775993i | −0.356658 | − | 0.934235i | \(-0.616084\pi\) |
−0.987400 | + | 0.158242i | \(0.949417\pi\) | |||||||
\(360\) | −39.3563 | − | 15.0268i | −2.07426 | − | 0.791983i | ||||
\(361\) | −6.18198 | − | 10.7075i | −0.325367 | − | 0.563553i | ||||
\(362\) | −50.3282 | − | 8.87422i | −2.64519 | − | 0.466418i | ||||
\(363\) | −10.0754 | + | 15.0371i | −0.528821 | + | 0.789242i | ||||
\(364\) | −5.99203 | + | 52.6552i | −0.314068 | + | 2.75988i | ||||
\(365\) | −31.3219 | + | 3.70693i | −1.63947 | + | 0.194030i | ||||
\(366\) | 11.6101 | + | 7.77917i | 0.606867 | + | 0.406624i | ||||
\(367\) | −1.05874 | + | 6.00442i | −0.0552658 | + | 0.313428i | −0.999892 | − | 0.0147214i | \(-0.995314\pi\) |
0.944626 | + | 0.328149i | \(0.106425\pi\) | |||||||
\(368\) | −16.9814 | − | 29.4127i | −0.885219 | − | 1.53324i | ||||
\(369\) | −16.6452 | − | 18.2590i | −0.866516 | − | 0.950524i | ||||
\(370\) | 29.0470 | + | 1.64965i | 1.51008 | + | 0.0857615i | ||||
\(371\) | 8.51486 | − | 17.0840i | 0.442070 | − | 0.886958i | ||||
\(372\) | 25.5321 | − | 57.8247i | 1.32378 | − | 2.99807i | ||||
\(373\) | −12.4167 | + | 2.18941i | −0.642914 | + | 0.113363i | −0.485594 | − | 0.874185i | \(-0.661397\pi\) |
−0.157320 | + | 0.987548i | \(0.550286\pi\) | |||||||
\(374\) | 2.22675 | − | 1.86846i | 0.115142 | − | 0.0966159i | ||||
\(375\) | −2.16699 | − | 19.2433i | −0.111903 | − | 0.993719i | ||||
\(376\) | 0.635776 | + | 1.74678i | 0.0327876 | + | 0.0900833i | ||||
\(377\) | 21.8086i | 1.12320i | ||||||||
\(378\) | 23.4140 | + | 25.9700i | 1.20429 | + | 1.33575i | ||||
\(379\) | 2.16560 | 0.111239 | 0.0556196 | − | 0.998452i | \(-0.482287\pi\) | ||||
0.0556196 | + | 0.998452i | \(0.482287\pi\) | |||||||
\(380\) | −18.7503 | − | 17.6388i | −0.961870 | − | 0.904852i | ||||
\(381\) | 8.07645 | − | 8.41512i | 0.413769 | − | 0.431120i | ||||
\(382\) | −11.5811 | − | 13.8018i | −0.592541 | − | 0.706163i | ||||
\(383\) | −9.24695 | + | 1.63049i | −0.472497 | + | 0.0833140i | −0.404826 | − | 0.914394i | \(-0.632668\pi\) |
−0.0676710 | + | 0.997708i | \(0.521557\pi\) | |||||||
\(384\) | −16.7137 | + | 12.2220i | −0.852918 | + | 0.623703i | ||||
\(385\) | 4.38616 | − | 0.0197000i | 0.223540 | − | 0.00100401i | ||||
\(386\) | 2.03246 | + | 1.17344i | 0.103449 | + | 0.0597265i | ||||
\(387\) | 22.3638 | + | 17.2518i | 1.13682 | + | 0.876956i | ||||
\(388\) | 6.09030 | + | 10.5487i | 0.309188 | + | 0.535529i | ||||
\(389\) | −5.08968 | − | 0.897448i | −0.258057 | − | 0.0455024i | 0.0431227 | − | 0.999070i | \(-0.486269\pi\) |
−0.301180 | + | 0.953567i | \(0.597380\pi\) | |||||||
\(390\) | 40.6629 | − | 17.1984i | 2.05904 | − | 0.870875i | ||||
\(391\) | −2.54540 | + | 6.99343i | −0.128726 | + | 0.353673i | ||||
\(392\) | 43.6308 | − | 5.36928i | 2.20369 | − | 0.271190i | ||||
\(393\) | −3.65530 | − | 7.43626i | −0.184385 | − | 0.375109i | ||||
\(394\) | 3.22375 | − | 18.2828i | 0.162410 | − | 0.921074i | ||||
\(395\) | −27.8865 | − | 18.2836i | −1.40312 | − | 0.919946i | ||||
\(396\) | −9.93184 | + | 0.408088i | −0.499094 | + | 0.0205072i | ||||
\(397\) | 13.8639 | − | 24.0130i | 0.695808 | − | 1.20518i | −0.274099 | − | 0.961701i | \(-0.588380\pi\) |
0.969907 | − | 0.243474i | \(-0.0782871\pi\) | |||||||
\(398\) | 14.6751 | − | 17.4891i | 0.735597 | − | 0.876651i | ||||
\(399\) | 3.97634 | + | 11.1151i | 0.199066 | + | 0.556451i | ||||
\(400\) | 31.4773 | + | 15.6947i | 1.57387 | + | 0.784733i | ||||
\(401\) | 22.1510 | + | 26.3985i | 1.10617 | + | 1.31828i | 0.943415 | + | 0.331614i | \(0.107593\pi\) |
0.162753 | + | 0.986667i | \(0.447963\pi\) | |||||||
\(402\) | 56.5388 | + | 13.9119i | 2.81990 | + | 0.693862i | ||||
\(403\) | 12.5178 | + | 34.3924i | 0.623557 | + | 1.71321i | ||||
\(404\) | −23.2793 | −1.15819 | ||||||||
\(405\) | 6.40052 | − | 19.0797i | 0.318044 | − | 0.948076i | ||||
\(406\) | 31.8383 | − | 7.64829i | 1.58011 | − | 0.379578i | ||||
\(407\) | 3.56398 | − | 1.29718i | 0.176660 | − | 0.0642990i | ||||
\(408\) | −16.2815 | − | 4.00623i | −0.806056 | − | 0.198338i | ||||
\(409\) | 20.7578 | + | 24.7382i | 1.02641 | + | 1.22323i | 0.974456 | + | 0.224577i | \(0.0720999\pi\) |
0.0519522 | + | 0.998650i | \(0.483456\pi\) | |||||||
\(410\) | 28.0249 | + | 37.5305i | 1.38405 | + | 1.85350i | ||||
\(411\) | −2.29034 | − | 21.1639i | −0.112974 | − | 1.04394i | ||||
\(412\) | 36.1743 | + | 30.3538i | 1.78218 | + | 1.49543i | ||||
\(413\) | 21.4922 | + | 6.36308i | 1.05756 | + | 0.313106i | ||||
\(414\) | 31.1204 | − | 19.7137i | 1.52948 | − | 0.968877i | ||||
\(415\) | 10.3411 | − | 15.7725i | 0.507626 | − | 0.774243i | ||||
\(416\) | −4.14990 | + | 23.5353i | −0.203466 | + | 1.15391i | ||||
\(417\) | 2.38555 | − | 1.17262i | 0.116821 | − | 0.0574235i | ||||
\(418\) | −4.56475 | − | 1.66143i | −0.223269 | − | 0.0812634i | ||||
\(419\) | −20.3282 | − | 7.39884i | −0.993095 | − | 0.361457i | −0.206177 | − | 0.978515i | \(-0.566102\pi\) |
−0.786918 | + | 0.617058i | \(0.788325\pi\) | |||||||
\(420\) | −27.1971 | − | 36.8437i | −1.32708 | − | 1.79779i | ||||
\(421\) | −5.24056 | + | 29.7207i | −0.255409 | + | 1.44850i | 0.539611 | + | 0.841915i | \(0.318571\pi\) |
−0.795020 | + | 0.606583i | \(0.792540\pi\) | |||||||
\(422\) | 4.38357 | + | 7.59256i | 0.213389 | + | 0.369600i | ||||
\(423\) | −0.821277 | + | 0.337717i | −0.0399319 | + | 0.0164203i | ||||
\(424\) | 22.6542 | − | 39.2383i | 1.10019 | − | 1.90558i | ||||
\(425\) | −1.79914 | − | 7.49451i | −0.0872711 | − | 0.363537i | ||||
\(426\) | −2.32540 | − | 3.18000i | −0.112666 | − | 0.154072i | ||||
\(427\) | 3.34783 | + | 7.69661i | 0.162013 | + | 0.372465i | ||||
\(428\) | 48.3123 | − | 40.5388i | 2.33526 | − | 1.95952i | ||||
\(429\) | 3.98533 | − | 4.15245i | 0.192414 | − | 0.200482i | ||||
\(430\) | −39.0006 | − | 36.6887i | −1.88078 | − | 1.76929i | ||||
\(431\) | − | 22.6738i | − | 1.09216i | −0.837734 | − | 0.546078i | \(-0.816120\pi\) | ||
0.837734 | − | 0.546078i | \(-0.183880\pi\) | |||||||
\(432\) | 22.7694 | + | 28.5949i | 1.09549 | + | 1.37578i | ||||
\(433\) | 16.0559 | 0.771599 | 0.385799 | − | 0.922583i | \(-0.373926\pi\) | ||||
0.385799 | + | 0.922583i | \(0.373926\pi\) | |||||||
\(434\) | 45.8193 | − | 30.3361i | 2.19940 | − | 1.45618i | ||||
\(435\) | −12.8348 | − | 13.7993i | −0.615380 | − | 0.661626i | ||||
\(436\) | −20.0399 | + | 16.8155i | −0.959739 | + | 0.805317i | ||||
\(437\) | 12.2481 | − | 2.15968i | 0.585908 | − | 0.103311i | ||||
\(438\) | 56.8446 | + | 25.0994i | 2.71614 | + | 1.19930i | ||||
\(439\) | 2.84928 | − | 3.39564i | 0.135989 | − | 0.162065i | −0.693752 | − | 0.720214i | \(-0.744044\pi\) |
0.829741 | + | 0.558149i | \(0.188488\pi\) | |||||||
\(440\) | 10.3944 | + | 0.590325i | 0.495534 | + | 0.0281427i | ||||
\(441\) | 3.41847 | + | 20.7199i | 0.162784 | + | 0.986662i | ||||
\(442\) | 15.2181 | − | 8.78615i | 0.723849 | − | 0.417915i | ||||
\(443\) | 0.934802 | − | 5.30152i | 0.0444138 | − | 0.251883i | −0.954515 | − | 0.298164i | \(-0.903626\pi\) |
0.998928 | + | 0.0462809i | \(0.0147369\pi\) | |||||||
\(444\) | −32.8964 | − | 22.0418i | −1.56119 | − | 1.04606i | ||||
\(445\) | 16.5110 | − | 1.95406i | 0.782694 | − | 0.0926313i | ||||
\(446\) | −12.0757 | − | 4.39520i | −0.571801 | − | 0.208119i | ||||
\(447\) | −15.5104 | − | 10.3926i | −0.733618 | − | 0.491551i | ||||
\(448\) | −1.33957 | + | 0.0821150i | −0.0632887 | + | 0.00387957i | ||||
\(449\) | −15.2817 | + | 8.82291i | −0.721190 | + | 0.416379i | −0.815190 | − | 0.579193i | \(-0.803368\pi\) |
0.0940008 | + | 0.995572i | \(0.470034\pi\) | |||||||
\(450\) | −15.6077 | + | 34.8130i | −0.735753 | + | 1.64110i | ||||
\(451\) | 5.28799 | + | 3.05302i | 0.249002 | + | 0.143761i | ||||
\(452\) | 47.6274 | + | 39.9641i | 2.24020 | + | 1.87975i | ||||
\(453\) | 0.689954 | + | 0.304645i | 0.0324169 | + | 0.0143135i | ||||
\(454\) | −33.1668 | + | 5.84820i | −1.55659 | + | 0.274469i | ||||
\(455\) | 26.1332 | + | 4.48705i | 1.22514 | + | 0.210356i | ||||
\(456\) | 7.80638 | + | 26.9110i | 0.365567 | + | 1.26022i | ||||
\(457\) | 7.74361 | + | 21.2754i | 0.362231 | + | 0.995221i | 0.978239 | + | 0.207481i | \(0.0665267\pi\) |
−0.616008 | + | 0.787740i | \(0.711251\pi\) | |||||||
\(458\) | − | 50.9083i | − | 2.37879i | ||||||
\(459\) | 1.59288 | − | 7.84982i | 0.0743492 | − | 0.366398i | ||||
\(460\) | −43.0836 | + | 21.7155i | −2.00878 | + | 1.01249i | ||||
\(461\) | 20.2441 | − | 7.36826i | 0.942863 | − | 0.343174i | 0.175567 | − | 0.984467i | \(-0.443824\pi\) |
0.767296 | + | 0.641294i | \(0.221602\pi\) | |||||||
\(462\) | −7.45979 | − | 4.36190i | −0.347061 | − | 0.202934i | ||||
\(463\) | −21.4013 | − | 25.5051i | −0.994604 | − | 1.18532i | −0.982664 | − | 0.185395i | \(-0.940644\pi\) |
−0.0119402 | − | 0.999929i | \(-0.503801\pi\) | |||||||
\(464\) | 33.7096 | − | 5.94390i | 1.56493 | − | 0.275939i | ||||
\(465\) | −28.1611 | − | 14.3947i | −1.30594 | − | 0.667537i | ||||
\(466\) | −52.0179 | − | 43.6482i | −2.40968 | − | 2.02196i | ||||
\(467\) | −31.1479 | − | 17.9832i | −1.44135 | − | 0.832165i | −0.443412 | − | 0.896318i | \(-0.646232\pi\) |
−0.997940 | + | 0.0641526i | \(0.979566\pi\) | |||||||
\(468\) | −59.5563 | − | 7.99635i | −2.75299 | − | 0.369631i | ||||
\(469\) | 24.0742 | + | 25.3620i | 1.11164 | + | 1.17111i | ||||
\(470\) | 1.61203 | − | 0.485150i | 0.0743572 | − | 0.0223783i | ||||
\(471\) | −28.9409 | − | 1.93420i | −1.33353 | − | 0.0891233i | ||||
\(472\) | 49.9944 | + | 18.1965i | 2.30118 | + | 0.837561i | ||||
\(473\) | −6.55929 | − | 2.38738i | −0.301596 | − | 0.109772i | ||||
\(474\) | 28.9810 | + | 58.9583i | 1.33114 | + | 2.70804i | ||||
\(475\) | −9.34315 | + | 8.86602i | −0.428693 | + | 0.406801i | ||||
\(476\) | −12.5482 | − | 13.2195i | −0.575148 | − | 0.605914i | ||||
\(477\) | 19.1729 | + | 10.0434i | 0.877867 | + | 0.459857i | ||||
\(478\) | 53.5460 | + | 30.9148i | 2.44914 | + | 1.41401i | ||||
\(479\) | −9.02032 | − | 7.56895i | −0.412149 | − | 0.345834i | 0.413018 | − | 0.910723i | \(-0.364475\pi\) |
−0.825167 | + | 0.564889i | \(0.808919\pi\) | |||||||
\(480\) | −11.2251 | − | 17.3341i | −0.512353 | − | 0.791191i | ||||
\(481\) | 22.5794 | − | 3.98136i | 1.02953 | − | 0.181534i | ||||
\(482\) | 6.77547 | + | 8.07469i | 0.308614 | + | 0.367792i | ||||
\(483\) | 22.1242 | + | 0.121918i | 1.00669 | + | 0.00554748i | ||||
\(484\) | −43.8869 | + | 15.9735i | −1.99486 | + | 0.726069i | ||||
\(485\) | 5.44223 | − | 2.74305i | 0.247119 | − | 0.124556i | ||||
\(486\) | −29.9764 | + | 25.9501i | −1.35976 | + | 1.17712i | ||||
\(487\) | − | 30.9740i | − | 1.40357i | −0.712390 | − | 0.701784i | \(-0.752387\pi\) | ||
0.712390 | − | 0.701784i | \(-0.247613\pi\) | |||||||
\(488\) | 6.81380 | + | 18.7208i | 0.308446 | + | 0.847450i | ||||
\(489\) | −21.6724 | − | 5.33270i | −0.980060 | − | 0.241153i | ||||
\(490\) | −2.61428 | − | 39.7252i | −0.118101 | − | 1.79460i | ||||
\(491\) | −6.14500 | + | 1.08353i | −0.277320 | + | 0.0488990i | −0.310578 | − | 0.950548i | \(-0.600523\pi\) |
0.0332582 | + | 0.999447i | \(0.489412\pi\) | |||||||
\(492\) | −6.85899 | − | 63.3807i | −0.309227 | − | 2.85742i | ||||
\(493\) | −5.74586 | − | 4.82135i | −0.258781 | − | 0.217143i | ||||
\(494\) | −25.4316 | − | 14.6829i | −1.14422 | − | 0.660617i | ||||
\(495\) | −0.0779105 | + | 4.97288i | −0.00350182 | + | 0.223514i | ||||
\(496\) | 49.7486 | − | 28.7224i | 2.23378 | − | 1.28967i | ||||
\(497\) | −0.144762 | − | 2.36155i | −0.00649347 | − | 0.105930i | ||||
\(498\) | −33.3466 | + | 16.3915i | −1.49430 | + | 0.734523i | ||||
\(499\) | 8.95026 | + | 3.25763i | 0.400669 | + | 0.145831i | 0.534492 | − | 0.845174i | \(-0.320503\pi\) |
−0.133823 | + | 0.991005i | \(0.542725\pi\) | |||||||
\(500\) | 24.7950 | − | 43.3798i | 1.10887 | − | 1.94000i | ||||
\(501\) | 1.20449 | − | 18.0225i | 0.0538128 | − | 0.805186i | ||||
\(502\) | −6.84650 | + | 38.8285i | −0.305574 | + | 1.73300i | ||||
\(503\) | 30.4966 | − | 17.6072i | 1.35977 | − | 0.785066i | 0.370181 | − | 0.928959i | \(-0.379296\pi\) |
0.989593 | + | 0.143893i | \(0.0459622\pi\) | |||||||
\(504\) | 5.08979 | + | 49.5854i | 0.226717 | + | 2.20871i | ||||
\(505\) | −0.660431 | + | 11.6288i | −0.0293888 | + | 0.517476i | ||||
\(506\) | −5.85206 | + | 6.97421i | −0.260156 | + | 0.310042i | ||||
\(507\) | 9.90967 | − | 7.24653i | 0.440104 | − | 0.321830i | ||||
\(508\) | 29.6380 | − | 5.22598i | 1.31497 | − | 0.231865i | ||||
\(509\) | −5.12539 | + | 4.30071i | −0.227179 | + | 0.190626i | −0.749271 | − | 0.662263i | \(-0.769596\pi\) |
0.522092 | + | 0.852889i | \(0.325152\pi\) | |||||||
\(510\) | −4.45835 | + | 14.5155i | −0.197419 | + | 0.642757i | ||||
\(511\) | 20.6021 | + | 31.1172i | 0.911385 | + | 1.37654i | ||||
\(512\) | −50.8452 | −2.24706 | ||||||||
\(513\) | −12.6917 | + | 4.25380i | −0.560350 | + | 0.187810i | ||||
\(514\) | − | 71.8296i | − | 3.16827i | ||||||
\(515\) | 16.1891 | − | 17.2092i | 0.713376 | − | 0.758328i | ||||
\(516\) | 20.3035 | + | 69.9925i | 0.893812 | + | 3.08125i | ||||
\(517\) | 0.168113 | − | 0.141064i | 0.00739362 | − | 0.00620398i | ||||
\(518\) | −13.7310 | − | 31.5673i | −0.603304 | − | 1.38699i | ||||
\(519\) | 10.2587 | − | 23.2337i | 0.450307 | − | 1.01985i | ||||
\(520\) | 61.2622 | + | 14.4259i | 2.68652 | + | 0.632616i | ||||
\(521\) | −12.5760 | + | 21.7822i | −0.550963 | + | 0.954296i | 0.447242 | + | 0.894413i | \(0.352406\pi\) |
−0.998205 | + | 0.0598833i | \(0.980927\pi\) | |||||||
\(522\) | 7.94293 | + | 36.2687i | 0.347653 | + | 1.58744i | ||||
\(523\) | 1.90047 | + | 3.29171i | 0.0831018 | + | 0.143937i | 0.904581 | − | 0.426302i | \(-0.140184\pi\) |
−0.821479 | + | 0.570239i | \(0.806851\pi\) | |||||||
\(524\) | 3.71260 | − | 21.0552i | 0.162186 | − | 0.919801i | ||||
\(525\) | −19.1763 | + | 12.5407i | −0.836924 | + | 0.547319i | ||||
\(526\) | 16.7425 | + | 6.09376i | 0.730006 | + | 0.265700i | ||||
\(527\) | −11.8287 | − | 4.30528i | −0.515265 | − | 0.187541i | ||||
\(528\) | −7.50463 | − | 5.02838i | −0.326597 | − | 0.218832i | ||||
\(529\) | 0.0537055 | − | 0.304579i | 0.00233502 | − | 0.0132426i | ||||
\(530\) | −34.3146 | − | 22.4981i | −1.49053 | − | 0.977254i | ||||
\(531\) | −7.70478 | + | 24.2194i | −0.334359 | + | 1.05103i | ||||
\(532\) | −8.64698 | + | 29.2064i | −0.374894 | + | 1.26626i | ||||
\(533\) | 28.2765 | + | 23.7268i | 1.22479 | + | 1.02772i | ||||
\(534\) | −29.9649 | − | 13.2308i | −1.29671 | − | 0.572554i | ||||
\(535\) | −18.8800 | − | 25.2838i | −0.816252 | − | 1.09311i | ||||
\(536\) | 53.3526 | + | 63.5831i | 2.30448 | + | 2.74637i | ||||
\(537\) | 3.43560 | + | 11.8436i | 0.148257 | + | 0.511088i | ||||
\(538\) | −56.5689 | + | 20.5894i | −2.43886 | + | 0.887672i | ||||
\(539\) | −2.35740 | − | 4.62353i | −0.101540 | − | 0.199150i | ||||
\(540\) | 42.3900 | − | 29.9903i | 1.82417 | − | 1.29058i | ||||
\(541\) | −20.1262 | −0.865291 | −0.432646 | − | 0.901564i | \(-0.642420\pi\) | ||||
−0.432646 | + | 0.901564i | \(0.642420\pi\) | |||||||
\(542\) | −2.74209 | − | 7.53382i | −0.117783 | − | 0.323605i | ||||
\(543\) | 24.0980 | − | 25.1085i | 1.03414 | − | 1.07751i | ||||
\(544\) | −5.28334 | − | 6.29644i | −0.226521 | − | 0.269957i | ||||
\(545\) | 7.83141 | + | 10.4877i | 0.335461 | + | 0.449244i | ||||
\(546\) | −39.8321 | − | 33.7989i | −1.70466 | − | 1.44646i | ||||
\(547\) | −11.6827 | + | 13.9229i | −0.499517 | + | 0.595301i | −0.955611 | − | 0.294631i | \(-0.904803\pi\) |
0.456095 | + | 0.889931i | \(0.349248\pi\) | |||||||
\(548\) | 27.4634 | − | 47.5679i | 1.17318 | − | 2.03200i | ||||
\(549\) | −8.80188 | + | 3.61941i | −0.375655 | + | 0.154473i | ||||
\(550\) | 1.06750 | − | 9.36797i | 0.0455185 | − | 0.399451i | ||||
\(551\) | −2.17664 | + | 12.3443i | −0.0927279 | + | 0.525886i | ||||
\(552\) | 52.3982 | + | 3.50192i | 2.23022 | + | 0.149052i | ||||
\(553\) | −4.46113 | + | 39.2024i | −0.189706 | + | 1.66705i | ||||
\(554\) | 2.85851 | − | 7.85369i | 0.121446 | − | 0.333671i | ||||
\(555\) | −11.9439 | + | 15.8076i | −0.506991 | + | 0.670994i | ||||
\(556\) | 6.75452 | + | 1.19100i | 0.286455 | + | 0.0505098i | ||||
\(557\) | −15.4918 | − | 26.8326i | −0.656409 | − | 1.13693i | −0.981539 | − | 0.191264i | \(-0.938741\pi\) |
0.325130 | − | 0.945669i | \(-0.394592\pi\) | |||||||
\(558\) | 33.3437 | + | 52.6369i | 1.41155 | + | 2.22830i | ||||
\(559\) | −36.5438 | − | 21.0985i | −1.54564 | − | 0.892373i | ||||
\(560\) | −0.186918 | − | 41.6169i | −0.00789874 | − | 1.75864i | ||||
\(561\) | 0.212976 | + | 1.96801i | 0.00899185 | + | 0.0830895i | ||||
\(562\) | −74.8203 | + | 13.1928i | −3.15610 | + | 0.556506i | ||||
\(563\) | 25.4766 | + | 30.3618i | 1.07371 | + | 1.27960i | 0.958141 | + | 0.286298i | \(0.0924247\pi\) |
0.115569 | + | 0.993299i | \(0.463131\pi\) | |||||||
\(564\) | −2.22489 | − | 0.547455i | −0.0936848 | − | 0.0230520i | ||||
\(565\) | 21.3147 | − | 22.6578i | 0.896715 | − | 0.953220i | ||||
\(566\) | 13.6857 | 0.575255 | ||||||||
\(567\) | −23.5675 | + | 3.40185i | −0.989742 | + | 0.142864i | ||||
\(568\) | − | 5.61593i | − | 0.235639i | ||||||
\(569\) | −6.04291 | − | 16.6028i | −0.253332 | − | 0.696024i | −0.999540 | − | 0.0303116i | \(-0.990350\pi\) |
0.746209 | − | 0.665712i | \(-0.231872\pi\) | |||||||
\(570\) | 24.7329 | − | 5.67639i | 1.03595 | − | 0.237758i | ||||
\(571\) | 9.31684 | − | 7.81776i | 0.389898 | − | 0.327163i | −0.426676 | − | 0.904405i | \(-0.640315\pi\) |
0.816573 | + | 0.577242i | \(0.195871\pi\) | |||||||
\(572\) | 14.6249 | − | 2.57877i | 0.611498 | − | 0.107824i | ||||
\(573\) | 12.1981 | − | 1.32007i | 0.509584 | − | 0.0551467i | ||||
\(574\) | 24.7220 | − | 49.6017i | 1.03188 | − | 2.07033i | ||||
\(575\) | 9.62537 | + | 22.1378i | 0.401406 | + | 0.923212i | ||||
\(576\) | −0.0624755 | − | 1.52050i | −0.00260315 | − | 0.0633540i | ||||
\(577\) | 14.8554 | + | 25.7303i | 0.618439 | + | 1.07117i | 0.989771 | + | 0.142668i | \(0.0455680\pi\) |
−0.371332 | + | 0.928500i | \(0.621099\pi\) | |||||||
\(578\) | 6.45881 | − | 36.6297i | 0.268651 | − | 1.52360i | ||||
\(579\) | −1.43428 | + | 0.705022i | −0.0596068 | + | 0.0292997i | ||||
\(580\) | −5.71493 | − | 48.2887i | −0.237300 | − | 2.00508i | ||||
\(581\) | −22.1727 | − | 2.52320i | −0.919880 | − | 0.104680i | ||||
\(582\) | −11.9802 | − | 0.800669i | −0.496595 | − | 0.0331888i | ||||
\(583\) | −5.26777 | − | 0.928850i | −0.218169 | − | 0.0384690i | ||||
\(584\) | 44.2908 | + | 76.7139i | 1.83277 | + | 3.17444i | ||||
\(585\) | −5.68407 | + | 29.5236i | −0.235007 | + | 1.22065i | ||||
\(586\) | 50.9098 | + | 29.3928i | 2.10306 | + | 1.21421i | ||||
\(587\) | 12.7377 | − | 15.1802i | 0.525741 | − | 0.626553i | −0.436188 | − | 0.899856i | \(-0.643672\pi\) |
0.961928 | + | 0.273303i | \(0.0881160\pi\) | |||||||
\(588\) | −24.4374 | + | 48.3613i | −1.00778 | + | 1.99439i | ||||
\(589\) | 3.65287 | + | 20.7165i | 0.150514 | + | 0.853607i | ||||
\(590\) | 19.0198 | − | 44.2689i | 0.783035 | − | 1.82252i | ||||
\(591\) | 9.12120 | + | 8.75412i | 0.375196 | + | 0.360096i | ||||
\(592\) | −12.3080 | − | 33.8158i | −0.505854 | − | 1.38982i | ||||
\(593\) | 4.54610i | 0.186686i | 0.995634 | + | 0.0933430i | \(0.0297553\pi\) | ||||
−0.995634 | + | 0.0933430i | \(0.970245\pi\) | |||||||
\(594\) | 5.11541 | − | 8.35720i | 0.209888 | − | 0.342900i | ||||
\(595\) | −6.95959 | + | 5.89326i | −0.285315 | + | 0.241600i | ||||
\(596\) | −16.4763 | − | 45.2684i | −0.674897 | − | 1.85427i | ||||
\(597\) | 4.33140 | + | 14.9317i | 0.177272 | + | 0.611113i | ||||
\(598\) | −42.1606 | + | 35.3770i | −1.72408 | + | 1.44667i | ||||
\(599\) | −19.1115 | + | 3.36988i | −0.780876 | + | 0.137690i | −0.549856 | − | 0.835259i | \(-0.685317\pi\) |
−0.231020 | + | 0.972949i | \(0.574206\pi\) | |||||||
\(600\) | −47.2532 | + | 26.9260i | −1.92910 | + | 1.09925i | ||||
\(601\) | −1.26699 | + | 1.50994i | −0.0516817 | + | 0.0615918i | −0.791266 | − | 0.611472i | \(-0.790578\pi\) |
0.739584 | + | 0.673064i | \(0.235022\pi\) | |||||||
\(602\) | −17.9857 | + | 60.7492i | −0.733044 | + | 2.47595i | ||||
\(603\) | −29.3022 | + | 26.7124i | −1.19328 | + | 1.08781i | ||||
\(604\) | 0.973029 | + | 1.68534i | 0.0395920 | + | 0.0685754i | ||||
\(605\) | 6.73427 | + | 22.3762i | 0.273787 | + | 0.909723i | ||||
\(606\) | 12.7733 | − | 19.0636i | 0.518882 | − | 0.774407i | ||||
\(607\) | −29.6483 | − | 10.7911i | −1.20339 | − | 0.437997i | −0.338981 | − | 0.940793i | \(-0.610082\pi\) |
−0.864405 | + | 0.502797i | \(0.832305\pi\) | |||||||
\(608\) | −4.69793 | + | 12.9075i | −0.190526 | + | 0.523467i | ||||
\(609\) | −7.74181 | + | 20.9112i | −0.313714 | + | 0.847363i | ||||
\(610\) | 17.2766 | − | 5.19950i | 0.699508 | − | 0.210522i | ||||
\(611\) | 1.14892 | − | 0.663331i | 0.0464804 | − | 0.0268355i | ||||
\(612\) | 15.2732 | − | 13.9234i | 0.617383 | − | 0.562818i | ||||
\(613\) | 0.790195 | + | 0.456219i | 0.0319157 | + | 0.0184265i | 0.515873 | − | 0.856665i | \(-0.327468\pi\) |
−0.483957 | + | 0.875092i | \(0.660801\pi\) | |||||||
\(614\) | −40.9674 | − | 34.3757i | −1.65331 | − | 1.38729i | ||||
\(615\) | −31.8555 | + | 1.62820i | −1.28454 | + | 0.0656555i | ||||
\(616\) | −4.91360 | − | 11.2963i | −0.197974 | − | 0.455140i | ||||
\(617\) | −11.4019 | + | 9.56731i | −0.459022 | + | 0.385165i | −0.842771 | − | 0.538272i | \(-0.819077\pi\) |
0.383749 | + | 0.923437i | \(0.374633\pi\) | |||||||
\(618\) | −44.7059 | + | 12.9683i | −1.79833 | + | 0.521663i | ||||
\(619\) | 1.40271 | + | 3.85392i | 0.0563798 | + | 0.154902i | 0.964685 | − | 0.263405i | \(-0.0848456\pi\) |
−0.908305 | + | 0.418308i | \(0.862623\pi\) | |||||||
\(620\) | −36.7295 | − | 72.8715i | −1.47509 | − | 2.92659i | ||||
\(621\) | −0.643852 | + | 25.0786i | −0.0258369 | + | 1.00637i | ||||
\(622\) | −50.5543 | −2.02704 | ||||||||
\(623\) | −10.8601 | − | 16.4030i | −0.435103 | − | 0.657173i | ||||
\(624\) | −39.3994 | − | 37.8137i | −1.57724 | − | 1.51376i | ||||
\(625\) | −20.9663 | − | 13.6167i | −0.838652 | − | 0.544667i | ||||
\(626\) | 9.75711 | + | 55.3353i | 0.389973 | + | 2.21164i | ||||
\(627\) | 2.67026 | − | 1.95265i | 0.106640 | − | 0.0779812i | ||||
\(628\) | −57.3314 | − | 48.1068i | −2.28777 | − | 1.91967i | ||||
\(629\) | −3.94280 | + | 6.82912i | −0.157210 | + | 0.272295i | ||||
\(630\) | 45.0948 | − | 2.05581i | 1.79662 | − | 0.0819056i | ||||
\(631\) | −1.46621 | − | 2.53955i | −0.0583689 | − | 0.101098i | 0.835364 | − | 0.549696i | \(-0.185257\pi\) |
−0.893733 | + | 0.448599i | \(0.851923\pi\) | |||||||
\(632\) | −16.2625 | + | 92.2291i | −0.646887 | + | 3.66868i | ||||
\(633\) | −5.95702 | − | 0.398124i | −0.236770 | − | 0.0158240i | ||||
\(634\) | 9.40055 | + | 3.42152i | 0.373344 | + | 0.135886i | ||||
\(635\) | −1.76974 | − | 14.9535i | −0.0702298 | − | 0.593411i | ||||
\(636\) | 24.6362 | + | 50.1194i | 0.976889 | + | 1.98736i | ||||
\(637\) | −9.18095 | − | 30.0003i | −0.363763 | − | 1.18865i | ||||
\(638\) | −4.58784 | − | 7.94637i | −0.181634 | − | 0.314600i | ||||
\(639\) | 2.68051 | − | 0.110139i | 0.106039 | − | 0.00435704i | ||||
\(640\) | −1.51568 | + | 26.6880i | −0.0599124 | + | 1.05493i | ||||
\(641\) | 7.35725 | − | 8.76803i | 0.290594 | − | 0.346316i | −0.600920 | − | 0.799309i | \(-0.705199\pi\) |
0.891514 | + | 0.452993i | \(0.149644\pi\) | |||||||
\(642\) | 6.68869 | + | 61.8070i | 0.263982 | + | 2.43933i | ||||
\(643\) | −1.69315 | − | 9.60230i | −0.0667711 | − | 0.378678i | −0.999821 | − | 0.0189303i | \(-0.993974\pi\) |
0.933050 | − | 0.359748i | \(-0.117137\pi\) | |||||||
\(644\) | 45.8940 | + | 33.9500i | 1.80848 | + | 1.33782i | ||||
\(645\) | 35.5397 | − | 8.15664i | 1.39938 | − | 0.321167i | ||||
\(646\) | 9.49078 | − | 3.45436i | 0.373410 | − | 0.135910i | ||||
\(647\) | 4.47185i | 0.175806i | 0.996129 | + | 0.0879032i | \(0.0280166\pi\) | ||||
−0.996129 | + | 0.0879032i | \(0.971983\pi\) | |||||||
\(648\) | −56.3294 | + | 4.63686i | −2.21283 | + | 0.182153i | ||||
\(649\) | − | 6.28104i | − | 0.246552i | ||||||
\(650\) | 16.1892 | − | 54.6504i | 0.634992 | − | 2.14357i | ||||
\(651\) | −0.206213 | + | 37.4208i | −0.00808211 | + | 1.46664i | ||||
\(652\) | −37.0167 | − | 44.1148i | −1.44969 | − | 1.72767i | ||||
\(653\) | −1.09581 | − | 6.21463i | −0.0428823 | − | 0.243197i | 0.955831 | − | 0.293918i | \(-0.0949593\pi\) |
−0.998713 | + | 0.0507207i | \(0.983848\pi\) | |||||||
\(654\) | −2.77447 | − | 25.6376i | −0.108490 | − | 1.00251i | ||||
\(655\) | −10.4125 | − | 2.45191i | −0.406850 | − | 0.0958040i | ||||
\(656\) | 28.9678 | − | 50.1737i | 1.13100 | − | 1.95895i | ||||
\(657\) | −35.7473 | + | 22.6447i | −1.39463 | + | 0.883454i | ||||
\(658\) | −1.37132 | − | 1.44467i | −0.0534596 | − | 0.0563192i | ||||
\(659\) | 12.0310 | + | 2.12138i | 0.468659 | + | 0.0826373i | 0.402990 | − | 0.915204i | \(-0.367971\pi\) |
0.0656689 | + | 0.997841i | \(0.479082\pi\) | |||||||
\(660\) | −7.73619 | + | 10.2387i | −0.301131 | + | 0.398541i | ||||
\(661\) | 13.5224 | − | 37.1526i | 0.525962 | − | 1.44507i | −0.337823 | − | 0.941210i | \(-0.609691\pi\) |
0.863785 | − | 0.503860i | \(-0.168087\pi\) | |||||||
\(662\) | 86.6178 | + | 31.5263i | 3.36650 | + | 1.22530i | ||||
\(663\) | −0.797975 | + | 11.9399i | −0.0309908 | + | 0.463706i | ||||
\(664\) | −52.1645 | − | 9.19800i | −2.02437 | − | 0.356952i | ||||
\(665\) | 14.3443 | + | 5.14805i | 0.556248 | + | 0.199633i | ||||
\(666\) | 36.1005 | − | 14.8448i | 1.39886 | − | 0.575226i | ||||
\(667\) | 20.3449 | + | 11.7462i | 0.787759 | + | 0.454813i | ||||
\(668\) | 29.9577 | − | 35.7022i | 1.15910 | − | 1.38136i | ||||
\(669\) | 7.06396 | − | 5.16558i | 0.273109 | − | 0.199713i | ||||
\(670\) | 60.2293 | − | 44.9746i | 2.32686 | − | 1.73752i | ||||
\(671\) | 1.80172 | − | 1.51182i | 0.0695547 | − | 0.0583633i | ||||
\(672\) | −12.3339 | + | 21.0936i | −0.475789 | + | 0.813703i | ||||
\(673\) | 11.7036 | + | 32.1553i | 0.451139 | + | 1.23949i | 0.931923 | + | 0.362655i | \(0.118130\pi\) |
−0.480784 | + | 0.876839i | \(0.659648\pi\) | |||||||
\(674\) | 1.47843i | 0.0569471i | ||||||||
\(675\) | −13.7786 | − | 22.0261i | −0.530339 | − | 0.847785i | ||||
\(676\) | 31.6763 | 1.21832 | ||||||||
\(677\) | 4.02528 | + | 11.0594i | 0.154704 | + | 0.425046i | 0.992697 | − | 0.120635i | \(-0.0384931\pi\) |
−0.837993 | + | 0.545681i | \(0.816271\pi\) | |||||||
\(678\) | −58.8602 | + | 17.0742i | −2.26051 | + | 0.655732i | ||||
\(679\) | −5.79723 | − | 4.28850i | −0.222477 | − | 0.164578i | ||||
\(680\) | −17.3443 | + | 12.9514i | −0.665124 | + | 0.496663i | ||||
\(681\) | 9.26376 | − | 20.9804i | 0.354988 | − | 0.803971i | ||||
\(682\) | −11.7962 | − | 9.89816i | −0.451699 | − | 0.379020i | ||||
\(683\) | 0.363116 | − | 0.628935i | 0.0138942 | − | 0.0240655i | −0.858995 | − | 0.511984i | \(-0.828911\pi\) |
0.872889 | + | 0.487919i | \(0.162244\pi\) | |||||||
\(684\) | −32.9125 | − | 10.4703i | −1.25844 | − | 0.400340i | ||||
\(685\) | −22.9827 | − | 15.0684i | −0.878125 | − | 0.575735i | ||||
\(686\) | −40.5774 | + | 23.9243i | −1.54925 | + | 0.913434i | ||||
\(687\) | 28.8005 | + | 19.2974i | 1.09881 | + | 0.736243i | ||||
\(688\) | −22.6520 | + | 62.2360i | −0.863601 | + | 2.37272i | ||||
\(689\) | −30.3859 | − | 11.0596i | −1.15761 | − | 0.421336i | ||||
\(690\) | 5.85696 | − | 47.1969i | 0.222971 | − | 1.79675i | ||||
\(691\) | 27.8464 | + | 4.91007i | 1.05933 | + | 0.186788i | 0.676057 | − | 0.736849i | \(-0.263687\pi\) |
0.383269 | + | 0.923637i | \(0.374798\pi\) | |||||||
\(692\) | 56.7525 | − | 32.7660i | 2.15740 | − | 1.24558i | ||||
\(693\) | 5.29540 | − | 2.56682i | 0.201156 | − | 0.0975056i | ||||
\(694\) | 43.8171 | − | 75.8935i | 1.66328 | − | 2.88088i | ||||
\(695\) | 0.786573 | − | 3.34033i | 0.0298364 | − | 0.126706i | ||||
\(696\) | −21.3785 | + | 48.4177i | −0.810352 | + | 1.83527i | ||||
\(697\) | −12.5025 | + | 2.20453i | −0.473566 | + | 0.0835024i | ||||
\(698\) | −22.9957 | − | 27.4052i | −0.870398 | − | 1.03730i | ||||
\(699\) | 44.4113 | − | 12.8829i | 1.67979 | − | 0.487275i | ||||
\(700\) | −59.0399 | − | 3.08707i | −2.23150 | − | 0.116680i | ||||
\(701\) | 19.1443i | 0.723070i | 0.932359 | + | 0.361535i | \(0.117747\pi\) | ||||
−0.932359 | + | 0.361535i | \(0.882253\pi\) | |||||||
\(702\) | 39.2269 | − | 44.3837i | 1.48052 | − | 1.67515i | ||||
\(703\) | 13.1780 | 0.497017 | ||||||||
\(704\) | 0.128629 | + | 0.353404i | 0.00484787 | + | 0.0133194i | ||||
\(705\) | −0.336593 | + | 1.09588i | −0.0126768 | + | 0.0412732i | ||||
\(706\) | −54.9940 | − | 65.5393i | −2.06973 | − | 2.46661i | ||||
\(707\) | 12.6378 | − | 5.49712i | 0.475293 | − | 0.206740i | ||||
\(708\) | −52.9345 | + | 38.7088i | −1.98940 | + | 1.45477i | ||||
\(709\) | 30.1595 | + | 25.3068i | 1.13266 | + | 0.950418i | 0.999174 | − | 0.0406322i | \(-0.0129372\pi\) |
0.133490 | + | 0.991050i | \(0.457382\pi\) | |||||||
\(710\) | −5.07774 | − | 0.288378i | −0.190564 | − | 0.0108226i | ||||
\(711\) | −44.3403 | − | 5.95337i | −1.66289 | − | 0.223269i | ||||
\(712\) | −23.3473 | − | 40.4387i | −0.874978 | − | 1.51551i | ||||
\(713\) | 38.8263 | + | 6.84612i | 1.45406 | + | 0.256389i | ||||
\(714\) | 17.7108 | − | 3.02236i | 0.662810 | − | 0.113109i | ||||
\(715\) | −0.873278 | − | 7.37882i | −0.0326587 | − | 0.275952i | ||||
\(716\) | −10.8827 | + | 29.9000i | −0.406707 | + | 1.11742i | ||||
\(717\) | −37.7868 | + | 18.5741i | −1.41117 | + | 0.693664i | ||||
\(718\) | 73.6560 | + | 12.9875i | 2.74882 | + | 0.484691i | ||||
\(719\) | −8.10030 | − | 14.0301i | −0.302090 | − | 0.523235i | 0.674519 | − | 0.738257i | \(-0.264351\pi\) |
−0.976609 | + | 0.215022i | \(0.931018\pi\) | |||||||
\(720\) | 47.1838 | + | 0.739232i | 1.75844 | + | 0.0275496i | ||||
\(721\) | −26.8059 | − | 7.93629i | −0.998303 | − | 0.295563i | ||||
\(722\) | 24.0898 | + | 20.2138i | 0.896530 | + | 0.752278i | ||||
\(723\) | −7.13645 | + | 0.772299i | −0.265408 | + | 0.0287221i | ||||
\(724\) | 88.4319 | − | 15.5929i | 3.28655 | − | 0.579507i | ||||
\(725\) | −24.2840 | + | 1.48487i | −0.901887 | + | 0.0551466i | ||||
\(726\) | 10.9999 | − | 44.7041i | 0.408243 | − | 1.65912i | ||||
\(727\) | 26.4929 | − | 9.64263i | 0.982567 | − | 0.357625i | 0.199729 | − | 0.979851i | \(-0.435994\pi\) |
0.782838 | + | 0.622226i | \(0.213771\pi\) | |||||||
\(728\) | −17.3943 | − | 72.4090i | −0.644676 | − | 2.68366i | ||||
\(729\) | −3.31792 | − | 26.7954i | −0.122886 | − | 0.992421i | ||||
\(730\) | 71.6364 | − | 36.1070i | 2.65138 | − | 1.33638i | ||||
\(731\) | 13.6377 | − | 4.96372i | 0.504409 | − | 0.183590i | ||||
\(732\) | −23.8448 | − | 5.86724i | −0.881330 | − | 0.216860i | ||||
\(733\) | 17.1333 | − | 14.3765i | 0.632832 | − | 0.531009i | −0.268976 | − | 0.963147i | \(-0.586685\pi\) |
0.901807 | + | 0.432138i | \(0.142241\pi\) | |||||||
\(734\) | −2.69285 | − | 15.2719i | −0.0993947 | − | 0.563696i | ||||
\(735\) | 23.4649 | + | 13.5794i | 0.865515 | + | 0.500882i | ||||
\(736\) | 19.7206 | + | 16.5475i | 0.726909 | + | 0.609949i | ||||
\(737\) | 4.89952 | − | 8.48622i | 0.180476 | − | 0.312594i | ||||
\(738\) | 55.6666 | + | 29.1601i | 2.04912 | + | 1.07340i | ||||
\(739\) | 17.1659 | + | 29.7323i | 0.631459 | + | 1.09372i | 0.987254 | + | 0.159155i | \(0.0508768\pi\) |
−0.355795 | + | 0.934564i | \(0.615790\pi\) | |||||||
\(740\) | −48.9521 | + | 14.7325i | −1.79951 | + | 0.541576i | ||||
\(741\) | 17.9468 | − | 8.82176i | 0.659292 | − | 0.324076i | ||||
\(742\) | −5.48945 | + | 48.2388i | −0.201524 | + | 1.77090i | ||||
\(743\) | −16.1789 | − | 5.88865i | −0.593547 | − | 0.216033i | 0.0277417 | − | 0.999615i | \(-0.491168\pi\) |
−0.621289 | + | 0.783582i | \(0.713391\pi\) | |||||||
\(744\) | −5.92314 | + | 88.6262i | −0.217153 | + | 3.24919i | ||||
\(745\) | −23.0806 | + | 6.94626i | −0.845608 | + | 0.254491i | ||||
\(746\) | 27.7721 | − | 16.0342i | 1.01681 | − | 0.587054i | ||||
\(747\) | 3.36720 | − | 25.0787i | 0.123200 | − | 0.917583i | ||||
\(748\) | −2.55379 | + | 4.42329i | −0.0933757 | + | 0.161731i | ||||
\(749\) | −16.6549 | + | 33.4159i | −0.608556 | + | 1.22099i | ||||
\(750\) | 21.9191 | + | 44.1074i | 0.800373 | + | 1.61057i | ||||
\(751\) | −4.62807 | − | 26.2471i | −0.168881 | − | 0.957771i | −0.944972 | − | 0.327150i | \(-0.893912\pi\) |
0.776091 | − | 0.630620i | \(-0.217199\pi\) | |||||||
\(752\) | −1.33845 | − | 1.59510i | −0.0488081 | − | 0.0581672i | ||||
\(753\) | −19.3713 | − | 18.5917i | −0.705930 | − | 0.677520i | ||||
\(754\) | −18.9715 | − | 52.1238i | −0.690901 | − | 1.89824i | ||||
\(755\) | 0.869490 | − | 0.438250i | 0.0316440 | − | 0.0159495i | ||||
\(756\) | −54.2669 | − | 28.8091i | −1.97367 | − | 1.04778i | ||||
\(757\) | 0.611591i | 0.0222287i | 0.999938 | + | 0.0111143i | \(0.00353788\pi\) | ||||
−0.999938 | + | 0.0111143i | \(0.996462\pi\) | |||||||
\(758\) | −5.17589 | + | 1.88387i | −0.187997 | + | 0.0684252i | ||||
\(759\) | −1.72725 | − | 5.95437i | −0.0626953 | − | 0.216130i | ||||
\(760\) | 33.2364 | + | 14.2798i | 1.20561 | + | 0.517983i | ||||
\(761\) | 4.86072 | + | 27.5665i | 0.176201 | + | 0.999284i | 0.936749 | + | 0.350003i | \(0.113819\pi\) |
−0.760548 | + | 0.649282i | \(0.775070\pi\) | |||||||
\(762\) | −11.9828 | + | 27.1384i | −0.434090 | + | 0.983119i | ||||
\(763\) | 6.90845 | − | 13.8609i | 0.250103 | − | 0.501800i | ||||
\(764\) | 27.4164 | + | 15.8289i | 0.991892 | + | 0.572669i | ||||
\(765\) | −6.52191 | − | 8.02452i | −0.235800 | − | 0.290127i | ||||
\(766\) | 20.6823 | − | 11.9409i | 0.747283 | − | 0.431444i | ||||
\(767\) | 6.59346 | − | 37.3934i | 0.238076 | − | 1.35020i | ||||
\(768\) | 28.3365 | − | 42.2909i | 1.02250 | − | 1.52604i | ||||
\(769\) | −6.83039 | + | 18.7663i | −0.246310 | + | 0.676731i | 0.753504 | + | 0.657443i | \(0.228362\pi\) |
−0.999814 | + | 0.0192880i | \(0.993860\pi\) | |||||||
\(770\) | −10.4660 | + | 3.86264i | −0.377169 | + | 0.139200i | ||||
\(771\) | 40.6364 | + | 27.2279i | 1.46349 | + | 0.980589i | ||||
\(772\) | −4.06106 | − | 0.716075i | −0.146161 | − | 0.0257721i | ||||
\(773\) | −13.3411 | + | 7.70250i | −0.479847 | + | 0.277040i | −0.720353 | − | 0.693608i | \(-0.756020\pi\) |
0.240506 | + | 0.970648i | \(0.422687\pi\) | |||||||
\(774\) | −68.4581 | − | 21.7782i | −2.46068 | − | 0.782799i | ||||
\(775\) | −37.4439 | + | 16.2803i | −1.34502 | + | 0.584806i | ||||
\(776\) | −13.1118 | − | 11.0021i | −0.470686 | − | 0.394953i | ||||
\(777\) | 23.0636 | + | 4.19790i | 0.827401 | + | 0.150599i | ||||
\(778\) | 12.9453 | − | 2.28261i | 0.464112 | − | 0.0818354i | ||||
\(779\) | 13.6373 | + | 16.2522i | 0.488605 | + | 0.582297i | ||||
\(780\) | −56.8044 | + | 52.8339i | −2.03392 | + | 1.89176i | ||||
\(781\) | −0.623022 | + | 0.226762i | −0.0222935 | + | 0.00811417i | ||||
\(782\) | − | 18.9289i | − | 0.676897i | ||||||
\(783\) | −23.5293 | − | 9.25451i | −0.840868 | − | 0.330729i | ||||
\(784\) | −43.8691 | + | 22.3675i | −1.56675 | + | 0.798839i | ||||
\(785\) | −25.6575 | + | 27.2743i | −0.915756 | + | 0.973461i | ||||
\(786\) | 15.2052 | + | 14.5933i | 0.542352 | + | 0.520525i | ||||
\(787\) | −6.95056 | + | 5.83221i | −0.247761 | + | 0.207896i | −0.758207 | − | 0.652014i | \(-0.773924\pi\) |
0.510447 | + | 0.859909i | \(0.329480\pi\) | |||||||
\(788\) | 5.66447 | + | 32.1248i | 0.201788 | + | 1.14440i | ||||
\(789\) | −9.79389 | + | 7.16186i | −0.348672 | + | 0.254969i | ||||
\(790\) | 82.5553 | + | 19.4399i | 2.93719 | + | 0.691642i | ||||
\(791\) | −35.2929 | − | 10.4490i | −1.25487 | − | 0.371523i | ||||
\(792\) | 12.9185 | − | 5.31219i | 0.459038 | − | 0.188760i | ||||
\(793\) | 12.3133 | − | 7.10912i | 0.437260 | − | 0.252452i | ||||
\(794\) | −12.2464 | + | 69.4525i | −0.434607 | + | 2.46478i | ||||
\(795\) | 25.7353 | − | 10.8848i | 0.912738 | − | 0.386043i | ||||
\(796\) | −13.7203 | + | 37.6962i | −0.486303 | + | 1.33611i | ||||
\(797\) | 16.8236 | − | 46.2225i | 0.595923 | − | 1.63728i | −0.163392 | − | 0.986561i | \(-0.552244\pi\) |
0.759315 | − | 0.650723i | \(-0.225534\pi\) | |||||||
\(798\) | −19.1728 | − | 23.1066i | −0.678709 | − | 0.817966i | ||||
\(799\) | −0.0792325 | + | 0.449350i | −0.00280304 | + | 0.0158969i | ||||
\(800\) | −26.4892 | − | 3.01852i | −0.936536 | − | 0.106721i | ||||
\(801\) | 18.8437 | − | 11.9369i | 0.665810 | − | 0.421768i | ||||
\(802\) | −75.9064 | − | 43.8246i | −2.68035 | − | 1.54750i | ||||
\(803\) | 6.72213 | − | 8.01112i | 0.237219 | − | 0.282706i | ||||
\(804\) | −101.714 | + | 11.0074i | −3.58717 | + | 0.388200i | ||||
\(805\) | 18.2613 | − | 21.9625i | 0.643625 | − | 0.774076i | ||||
\(806\) | −59.8365 | − | 71.3104i | −2.10765 | − | 2.51180i | ||||
\(807\) | 9.79504 | − | 39.8076i | 0.344802 | − | 1.40130i | ||||
\(808\) | 30.7394 | − | 11.1882i | 1.08141 | − | 0.393600i | ||||
\(809\) | 6.43364i | 0.226195i | 0.993584 | + | 0.113097i | \(0.0360772\pi\) | ||||
−0.993584 | + | 0.113097i | \(0.963923\pi\) | |||||||
\(810\) | 1.29998 | + | 51.1693i | 0.0456766 | + | 1.79790i | ||||
\(811\) | 11.0500i | 0.388018i | 0.981000 | + | 0.194009i | \(0.0621491\pi\) | ||||
−0.981000 | + | 0.194009i | \(0.937851\pi\) | |||||||
\(812\) | −47.9730 | + | 31.7621i | −1.68352 | + | 1.11463i | ||||
\(813\) | 5.30156 | + | 1.30450i | 0.185934 | + | 0.0457508i | ||||
\(814\) | −7.38967 | + | 6.20067i | −0.259008 | + | 0.217333i | ||||
\(815\) | −23.0871 | + | 17.2396i | −0.808705 | + | 0.603878i | ||||
\(816\) | 18.6729 | − | 2.02076i | 0.653683 | − | 0.0707409i | ||||
\(817\) | −18.5791 | − | 15.5897i | −0.649999 | − | 0.545414i | ||||
\(818\) | −71.1323 | − | 41.0682i | −2.48708 | − | 1.43592i | ||||
\(819\) | 34.2200 | − | 9.72247i | 1.19574 | − | 0.339730i | ||||
\(820\) | −68.8275 | − | 45.1261i | −2.40356 | − | 1.57587i | ||||
\(821\) | −0.810284 | − | 0.142875i | −0.0282791 | − | 0.00498637i | 0.159491 | − | 0.987199i | \(-0.449015\pi\) |
−0.187770 | + | 0.982213i | \(0.560126\pi\) | |||||||
\(822\) | 23.8847 | + | 48.5906i | 0.833075 | + | 1.69479i | ||||
\(823\) | −8.01468 | + | 22.0202i | −0.279374 | + | 0.767575i | 0.718060 | + | 0.695982i | \(0.245030\pi\) |
−0.997434 | + | 0.0715930i | \(0.977192\pi\) | |||||||
\(824\) | −62.3551 | − | 22.6954i | −2.17224 | − | 0.790631i | ||||
\(825\) | 4.89513 | + | 4.15497i | 0.170426 | + | 0.144658i | ||||
\(826\) | −56.9027 | + | 3.48811i | −1.97990 | + | 0.121367i | ||||
\(827\) | 10.8253 | + | 18.7500i | 0.376433 | + | 0.652001i | 0.990540 | − | 0.137222i | \(-0.0438173\pi\) |
−0.614108 | + | 0.789222i | \(0.710484\pi\) | |||||||
\(828\) | −39.5368 | + | 51.2524i | −1.37400 | + | 1.78114i | ||||
\(829\) | −11.7660 | − | 6.79310i | −0.408650 | − | 0.235934i | 0.281560 | − | 0.959544i | \(-0.409148\pi\) |
−0.690209 | + | 0.723610i | \(0.742482\pi\) | |||||||
\(830\) | −10.9952 | + | 46.6930i | −0.381648 | + | 1.62074i | ||||
\(831\) | 3.35955 | + | 4.59420i | 0.116541 | + | 0.159371i | ||||
\(832\) | 0.394791 | + | 2.23897i | 0.0136869 | + | 0.0776224i | ||||
\(833\) | 9.93378 | + | 4.21344i | 0.344185 | + | 0.145987i | ||||
\(834\) | −4.68153 | + | 4.87784i | −0.162108 | + | 0.168906i | ||||
\(835\) | −16.9846 | − | 15.9778i | −0.587778 | − | 0.552935i | ||||
\(836\) | 8.53550 | 0.295206 | ||||||||
\(837\) | −42.4179 | − | 1.08901i | −1.46618 | − | 0.0376417i | ||||
\(838\) | 55.0217 | 1.90069 | ||||||||
\(839\) | −0.166559 | + | 0.0606223i | −0.00575024 | + | 0.00209292i | −0.344894 | − | 0.938642i | \(-0.612085\pi\) |
0.339143 | + | 0.940735i | \(0.389863\pi\) | |||||||
\(840\) | 53.6201 | + | 35.5796i | 1.85007 | + | 1.22761i | ||||
\(841\) | 4.07782 | − | 3.42169i | 0.140614 | − | 0.117989i | ||||
\(842\) | −13.3291 | − | 75.5928i | −0.459350 | − | 2.60510i | ||||
\(843\) | 20.8979 | − | 47.3293i | 0.719763 | − | 1.63011i | ||||
\(844\) | −11.8007 | − | 9.90200i | −0.406199 | − | 0.340841i | ||||
\(845\) | 0.898654 | − | 15.8235i | 0.0309146 | − | 0.544343i | ||||
\(846\) | 1.66911 | − | 1.52160i | 0.0573853 | − | 0.0523136i | ||||
\(847\) | 20.0532 | − | 19.0350i | 0.689037 | − | 0.654051i | ||||
\(848\) | −8.81313 | + | 49.9818i | −0.302644 | + | 1.71638i | ||||
\(849\) | −5.18776 | + | 7.74249i | −0.178043 | + | 0.265722i | ||||
\(850\) | 10.8196 | + | 16.3472i | 0.371108 | + | 0.560704i | ||||
\(851\) | 8.44715 | − | 23.2084i | 0.289565 | − | 0.795573i | ||||
\(852\) | 5.75064 | + | 3.85314i | 0.197014 | + | 0.132006i | ||||
\(853\) | −3.32391 | + | 18.8508i | −0.113809 | + | 0.645440i | 0.873525 | + | 0.486780i | \(0.161829\pi\) |
−0.987333 | + | 0.158661i | \(0.949282\pi\) | |||||||
\(854\) | −14.6968 | − | 15.4830i | −0.502916 | − | 0.529818i | ||||
\(855\) | −6.16399 | + | 16.1439i | −0.210804 | + | 0.552111i | ||||
\(856\) | −44.3112 | + | 76.7492i | −1.51452 | + | 2.62323i | ||||
\(857\) | −17.1808 | + | 20.4753i | −0.586885 | + | 0.699423i | −0.975004 | − | 0.222187i | \(-0.928681\pi\) |
0.388119 | + | 0.921609i | \(0.373125\pi\) | |||||||
\(858\) | −5.91291 | + | 13.3914i | −0.201863 | + | 0.457177i | ||||
\(859\) | −34.6107 | + | 6.10280i | −1.18090 | + | 0.208225i | −0.729426 | − | 0.684059i | \(-0.760213\pi\) |
−0.451475 | + | 0.892284i | \(0.649102\pi\) | |||||||
\(860\) | 86.4441 | + | 37.1402i | 2.94772 | + | 1.26647i | ||||
\(861\) | 18.6902 | + | 32.7883i | 0.636959 | + | 1.11742i | ||||
\(862\) | 19.7241 | + | 54.1915i | 0.671805 | + | 1.84577i | ||||
\(863\) | 29.6880 | 1.01059 | 0.505296 | − | 0.862946i | \(-0.331383\pi\) | ||||
0.505296 | + | 0.862946i | \(0.331383\pi\) | |||||||
\(864\) | −23.6311 | − | 14.4645i | −0.803948 | − | 0.492094i | ||||
\(865\) | −14.7577 | − | 29.2794i | −0.501778 | − | 0.995530i | ||||
\(866\) | −38.3745 | + | 13.9672i | −1.30402 | + | 0.474624i | ||||
\(867\) | 18.2744 | + | 17.5389i | 0.620631 | + | 0.595654i | ||||
\(868\) | −57.4230 | + | 77.6249i | −1.94906 | + | 2.63476i | ||||
\(869\) | 10.8884 | − | 1.91992i | 0.369364 | − | 0.0651288i | ||||
\(870\) | 42.6799 | + | 21.8160i | 1.44698 | + | 0.739632i | ||||
\(871\) | 38.0770 | − | 45.3784i | 1.29019 | − | 1.53759i | ||||
\(872\) | 18.3803 | − | 31.8356i | 0.622435 | − | 1.07809i | ||||
\(873\) | 4.99421 | − | 6.47409i | 0.169028 | − | 0.219115i | ||||
\(874\) | −27.3950 | + | 15.8165i | −0.926649 | + | 0.535001i | ||||
\(875\) | −3.21705 | + | 29.4049i | −0.108756 | + | 0.994068i | ||||
\(876\) | −108.942 | − | 7.28092i | −3.68082 | − | 0.245999i | ||||
\(877\) | 7.95670 | − | 21.8609i | 0.268679 | − | 0.738189i | −0.729832 | − | 0.683627i | \(-0.760402\pi\) |
0.998510 | − | 0.0545619i | \(-0.0173762\pi\) | |||||||
\(878\) | −3.85603 | + | 10.5944i | −0.130135 | + | 0.357542i | ||||
\(879\) | −35.9265 | + | 17.6597i | −1.21177 | + | 0.595647i | ||||
\(880\) | −11.1674 | + | 3.36091i | −0.376453 | + | 0.113296i | ||||
\(881\) | −21.4076 | − | 37.0791i | −0.721241 | − | 1.24923i | −0.960502 | − | 0.278272i | \(-0.910238\pi\) |
0.239261 | − | 0.970955i | \(-0.423095\pi\) | |||||||
\(882\) | −26.1947 | − | 46.5479i | −0.882022 | − | 1.56735i | ||||
\(883\) | −46.5253 | − | 26.8614i | −1.56570 | − | 0.903959i | −0.996661 | − | 0.0816501i | \(-0.973981\pi\) |
−0.569042 | − | 0.822309i | \(-0.692686\pi\) | |||||||
\(884\) | −19.8470 | + | 23.6527i | −0.667525 | + | 0.795526i | ||||
\(885\) | 17.8347 | + | 27.5408i | 0.599506 | + | 0.925775i | ||||
\(886\) | 2.37761 | + | 13.4841i | 0.0798775 | + | 0.453008i | ||||
\(887\) | 15.6254 | + | 18.6216i | 0.524648 | + | 0.625251i | 0.961673 | − | 0.274198i | \(-0.0884124\pi\) |
−0.437025 | + | 0.899449i | \(0.643968\pi\) | |||||||
\(888\) | 54.0318 | + | 13.2950i | 1.81319 | + | 0.446152i | ||||
\(889\) | −14.8557 | + | 9.83572i | −0.498246 | + | 0.329879i | ||||
\(890\) | −37.7622 | + | 19.0333i | −1.26579 | + | 0.637998i | ||||
\(891\) | 2.78889 | + | 6.06187i | 0.0934313 | + | 0.203080i | ||||
\(892\) | 22.5800 | 0.756035 | ||||||||
\(893\) | 0.716528 | − | 0.260795i | 0.0239777 | − | 0.00872717i | ||||
\(894\) | 46.1113 | + | 11.3461i | 1.54219 | + | 0.379471i | ||||
\(895\) | 14.6274 | + | 6.28457i | 0.488940 | + | 0.210070i | ||||
\(896\) | 29.0035 | − | 12.6158i | 0.968939 | − | 0.421464i | ||||
\(897\) | −4.03243 | − | 37.2618i | −0.134639 | − | 1.24413i | ||||
\(898\) | 28.8490 | − | 34.3809i | 0.962704 | − | 1.14731i | ||||
\(899\) | −19.8674 | + | 34.4114i | −0.662615 | + | 1.14768i | ||||
\(900\) | 4.84902 | − | 66.8608i | 0.161634 | − | 2.22869i | ||||
\(901\) | 9.63143 | − | 5.56071i | 0.320869 | − | 0.185254i | ||||
\(902\) | −15.2944 | − | 2.69682i | −0.509249 | − | 0.0897943i | ||||
\(903\) | −27.5502 | − | 33.2029i | −0.916813 | − | 1.10492i | ||||
\(904\) | −82.0972 | − | 29.8809i | −2.73051 | − | 0.993825i | ||||
\(905\) | −5.28042 | − | 44.6172i | −0.175527 | − | 1.48313i | ||||
\(906\) | −1.91404 | − | 0.127921i | −0.0635897 | − | 0.00424988i | ||||
\(907\) | 14.9941 | + | 2.64387i | 0.497873 | + | 0.0877884i | 0.416945 | − | 0.908932i | \(-0.363101\pi\) |
0.0809274 | + | 0.996720i | \(0.474212\pi\) | |||||||
\(908\) | 51.2484 | − | 29.5883i | 1.70074 | − | 0.981921i | ||||
\(909\) | 5.94305 | + | 14.4526i | 0.197119 | + | 0.479363i | ||||
\(910\) | −66.3629 | + | 12.0092i | −2.19991 | + | 0.398100i | ||||
\(911\) | 14.3312 | − | 17.0793i | 0.474814 | − | 0.565862i | −0.474474 | − | 0.880270i | \(-0.657362\pi\) |
0.949288 | + | 0.314408i | \(0.101806\pi\) | |||||||
\(912\) | −18.5272 | − | 25.3360i | −0.613495 | − | 0.838958i | ||||
\(913\) | 1.08590 | + | 6.15844i | 0.0359380 | + | 0.203815i | ||||
\(914\) | −37.0153 | − | 44.1131i | −1.22436 | − | 1.45913i | ||||
\(915\) | −3.60737 | + | 11.7449i | −0.119256 | + | 0.388274i | ||||
\(916\) | 30.5941 | + | 84.0566i | 1.01086 | + | 2.77731i | ||||
\(917\) | 2.95644 | + | 12.3071i | 0.0976303 | + | 0.406415i | ||||
\(918\) | 3.02156 | + | 20.1471i | 0.0997264 | + | 0.664955i | ||||
\(919\) | 13.0256 | 0.429677 | 0.214838 | − | 0.976650i | \(-0.431078\pi\) | ||||
0.214838 | + | 0.976650i | \(0.431078\pi\) | |||||||
\(920\) | 46.4536 | − | 49.3808i | 1.53153 | − | 1.62804i | ||||
\(921\) | 34.9767 | − | 10.1461i | 1.15252 | − | 0.334325i | ||||
\(922\) | −41.9748 | + | 35.2211i | −1.38237 | + | 1.15994i | ||||
\(923\) | −3.94713 | + | 0.695985i | −0.129921 | + | 0.0229086i | ||||
\(924\) | 14.9385 | + | 2.71902i | 0.491441 | + | 0.0894493i | ||||
\(925\) | 5.97062 | + | 24.8713i | 0.196313 | + | 0.817762i | ||||
\(926\) | 73.3374 | + | 42.3414i | 2.41002 | + | 1.39142i | ||||
\(927\) | 9.60971 | − | 30.2075i | 0.315624 | − | 0.992143i | ||||
\(928\) | −22.4695 | + | 12.9728i | −0.737597 | + | 0.425852i | ||||
\(929\) | 7.34332 | − | 41.6461i | 0.240927 | − | 1.36636i | −0.588839 | − | 0.808251i | \(-0.700415\pi\) |
0.829765 | − | 0.558112i | \(-0.188474\pi\) | |||||||
\(930\) | 79.8287 | + | 9.90645i | 2.61768 | + | 0.324845i | ||||
\(931\) | −2.20248 | − | 17.8973i | −0.0721832 | − | 0.586562i | ||||
\(932\) | 112.120 | + | 40.8083i | 3.67261 | + | 1.33672i | ||||
\(933\) | 19.1633 | − | 28.6003i | 0.627377 | − | 0.936331i | ||||
\(934\) | 90.0889 | + | 15.8851i | 2.94780 | + | 0.519776i | ||||
\(935\) | 2.13714 | + | 1.40119i | 0.0698919 | + | 0.0458240i | ||||
\(936\) | 82.4849 | − | 18.0644i | 2.69610 | − | 0.590454i | ||||
\(937\) | 10.2841 | − | 17.8126i | 0.335967 | − | 0.581913i | −0.647703 | − | 0.761893i | \(-0.724270\pi\) |
0.983670 | + | 0.179981i | \(0.0576035\pi\) | |||||||
\(938\) | −79.6013 | − | 39.6742i | −2.59907 | − | 1.29541i | ||||
\(939\) | −35.0036 | − | 15.4556i | −1.14230 | − | 0.504375i | ||||
\(940\) | −2.37012 | + | 1.76982i | −0.0773048 | + | 0.0577252i | ||||
\(941\) | 3.07590 | − | 2.58099i | 0.100271 | − | 0.0841378i | −0.591274 | − | 0.806471i | \(-0.701375\pi\) |
0.691545 | + | 0.722333i | \(0.256930\pi\) | |||||||
\(942\) | 70.8529 | − | 20.5531i | 2.30851 | − | 0.669656i | ||||
\(943\) | 37.3642 | − | 13.5994i | 1.21674 | − | 0.442859i | ||||
\(944\) | −59.5959 | −1.93968 | ||||||||
\(945\) | −15.9307 | + | 26.2909i | −0.518226 | + | 0.855244i | ||||
\(946\) | 17.7538 | 0.577227 | ||||||||
\(947\) | −9.57429 | + | 3.48476i | −0.311123 | + | 0.113239i | −0.492862 | − | 0.870107i | \(-0.664049\pi\) |
0.181740 | + | 0.983347i | \(0.441827\pi\) | |||||||
\(948\) | −83.2835 | − | 79.9318i | −2.70492 | − | 2.59606i | ||||
\(949\) | 48.4289 | − | 40.6367i | 1.57207 | − | 1.31912i | ||||
\(950\) | 14.6180 | − | 29.3180i | 0.474271 | − | 0.951200i | ||||
\(951\) | −5.49907 | + | 4.02124i | −0.178320 | + | 0.130398i | ||||
\(952\) | 22.9229 | + | 11.4250i | 0.742935 | + | 0.370287i | ||||
\(953\) | 13.5411 | − | 23.4539i | 0.438639 | − | 0.759745i | −0.558946 | − | 0.829204i | \(-0.688794\pi\) |
0.997585 | + | 0.0694593i | \(0.0221274\pi\) | |||||||
\(954\) | −54.5611 | − | 7.32567i | −1.76648 | − | 0.237177i | ||||
\(955\) | 8.68489 | − | 13.2464i | 0.281037 | − | 0.428644i | ||||
\(956\) | −106.991 | − | 18.8653i | −3.46032 | − | 0.610148i | ||||
\(957\) | 6.23461 | + | 0.416677i | 0.201536 | + | 0.0134692i | ||||
\(958\) | 28.1433 | + | 10.2433i | 0.909270 | + | 0.330947i | ||||
\(959\) | −3.67664 | + | 32.3087i | −0.118725 | + | 1.04330i | ||||
\(960\) | −1.56748 | − | 1.18436i | −0.0505901 | − | 0.0382250i | ||||
\(961\) | −6.19642 | + | 35.1416i | −0.199884 | + | 1.13360i | ||||
\(962\) | −50.5026 | + | 29.1577i | −1.62827 | + | 0.940081i | ||||
\(963\) | −37.5018 | − | 19.6447i | −1.20848 | − | 0.633043i | ||||
\(964\) | −16.0398 | − | 9.26061i | −0.516609 | − | 0.298264i | ||||
\(965\) | −0.472917 | + | 2.00833i | −0.0152237 | + | 0.0646504i | ||||
\(966\) | −52.9841 | + | 18.9546i | −1.70473 | + | 0.609855i | ||||
\(967\) | −6.31273 | + | 1.11310i | −0.203004 | + | 0.0357950i | −0.274225 | − | 0.961666i | \(-0.588421\pi\) |
0.0712216 | + | 0.997461i | \(0.477310\pi\) | |||||||
\(968\) | 50.2739 | − | 42.1848i | 1.61587 | − | 1.35587i | ||||
\(969\) | −1.64335 | + | 6.67868i | −0.0527920 | + | 0.214550i | ||||
\(970\) | −10.6210 | + | 11.2903i | −0.341020 | + | 0.362509i | ||||
\(971\) | −5.57738 | −0.178987 | −0.0894933 | − | 0.995987i | \(-0.528525\pi\) | ||||
−0.0894933 | + | 0.995987i | \(0.528525\pi\) | |||||||
\(972\) | 33.9000 | − | 60.8620i | 1.08734 | − | 1.95215i | ||||
\(973\) | −3.94811 | + | 0.948428i | −0.126571 | + | 0.0304052i | ||||
\(974\) | 26.9446 | + | 74.0296i | 0.863359 | + | 2.37206i | ||||
\(975\) | 24.7809 | + | 29.8747i | 0.793623 | + | 0.956756i | ||||
\(976\) | −14.3445 | − | 17.0951i | −0.459157 | − | 0.547202i | ||||
\(977\) | −0.534760 | − | 3.03277i | −0.0171085 | − | 0.0970270i | 0.975058 | − | 0.221951i | \(-0.0712425\pi\) |
−0.992166 | + | 0.124924i | \(0.960131\pi\) | |||||||
\(978\) | 56.4371 | − | 6.10756i | 1.80466 | − | 0.195298i | ||||
\(979\) | −3.54348 | + | 4.22296i | −0.113250 | + | 0.134966i | ||||
\(980\) | 28.1900 | + | 64.0208i | 0.900497 | + | 2.04507i | ||||
\(981\) | 15.5558 | + | 8.14864i | 0.496657 | + | 0.260166i | ||||
\(982\) | 13.7443 | − | 7.93528i | 0.438599 | − | 0.253225i | ||||
\(983\) | −52.7374 | − | 9.29902i | −1.68206 | − | 0.296593i | −0.750687 | − | 0.660658i | \(-0.770278\pi\) |
−0.931374 | + | 0.364065i | \(0.881389\pi\) | |||||||
\(984\) | 39.5183 | + | 80.3952i | 1.25980 | + | 2.56291i | ||||
\(985\) | 16.2082 | − | 1.91823i | 0.516436 | − | 0.0611198i | ||||
\(986\) | 17.9271 | + | 6.52491i | 0.570914 | + | 0.207796i | ||||
\(987\) | 1.33712 | − | 0.228180i | 0.0425609 | − | 0.00726304i | ||||
\(988\) | 50.8150 | + | 8.96006i | 1.61664 | + | 0.285058i | ||||
\(989\) | −39.3650 | + | 22.7274i | −1.25174 | + | 0.722690i | ||||
\(990\) | −4.13974 | − | 11.9532i | −0.131570 | − | 0.379898i | ||||
\(991\) | −14.0005 | + | 24.2495i | −0.444739 | + | 0.770311i | −0.998034 | − | 0.0626744i | \(-0.980037\pi\) |
0.553295 | + | 0.832986i | \(0.313370\pi\) | |||||||
\(992\) | −27.9884 | + | 33.3553i | −0.888633 | + | 1.05903i | ||||
\(993\) | −50.6691 | + | 37.0522i | −1.60793 | + | 1.17582i | ||||
\(994\) | 2.40032 | + | 5.51830i | 0.0761336 | + | 0.175030i | ||||
\(995\) | 18.4413 | + | 7.92321i | 0.584630 | + | 0.251183i | ||||
\(996\) | 45.2091 | − | 47.1049i | 1.43251 | − | 1.49258i | ||||
\(997\) | −22.4100 | + | 8.15656i | −0.709731 | + | 0.258321i | −0.671560 | − | 0.740950i | \(-0.734375\pi\) |
−0.0381711 | + | 0.999271i | \(0.512153\pi\) | |||||||
\(998\) | −24.2254 | −0.766842 | ||||||||
\(999\) | −5.28612 | + | 26.0504i | −0.167245 | + | 0.824198i |
(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 | 945.2.cs.b.209.8 | yes | 816 | |
5.4 | even | 2 | inner | 945.2.cs.b.209.129 | yes | 816 | |
7.6 | odd | 2 | inner | 945.2.cs.b.209.7 | yes | 816 | |
27.23 | odd | 18 | inner | 945.2.cs.b.104.130 | yes | 816 | |
35.34 | odd | 2 | inner | 945.2.cs.b.209.130 | yes | 816 | |
135.104 | odd | 18 | inner | 945.2.cs.b.104.7 | ✓ | 816 | |
189.104 | even | 18 | inner | 945.2.cs.b.104.129 | yes | 816 | |
945.104 | even | 18 | inner | 945.2.cs.b.104.8 | yes | 816 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
945.2.cs.b.104.7 | ✓ | 816 | 135.104 | odd | 18 | inner | |
945.2.cs.b.104.8 | yes | 816 | 945.104 | even | 18 | inner | |
945.2.cs.b.104.129 | yes | 816 | 189.104 | even | 18 | inner | |
945.2.cs.b.104.130 | yes | 816 | 27.23 | odd | 18 | inner | |
945.2.cs.b.209.7 | yes | 816 | 7.6 | odd | 2 | inner | |
945.2.cs.b.209.8 | yes | 816 | 1.1 | even | 1 | trivial | |
945.2.cs.b.209.129 | yes | 816 | 5.4 | even | 2 | inner | |
945.2.cs.b.209.130 | yes | 816 | 35.34 | odd | 2 | inner |