Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(11,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.v (of order \(6\), degree \(2\), 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: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 107.28 | ||
Character | \(\chi\) | \(=\) | 168.107 |
Dual form | 168.2.v.a.11.28 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.40790 | + | 0.133456i | 0.995537 | + | 0.0943676i | ||||
\(3\) | 1.03943 | − | 1.38549i | 0.600116 | − | 0.799913i | ||||
\(4\) | 1.96438 | + | 0.375786i | 0.982190 | + | 0.187893i | ||||
\(5\) | −0.692094 | + | 1.19874i | −0.309514 | + | 0.536094i | −0.978256 | − | 0.207401i | \(-0.933500\pi\) |
0.668742 | + | 0.743494i | \(0.266833\pi\) | |||||||
\(6\) | 1.64832 | − | 1.81192i | 0.672924 | − | 0.739711i | ||||
\(7\) | −2.08863 | + | 1.62408i | −0.789426 | + | 0.613845i | ||||
\(8\) | 2.71550 | + | 0.791228i | 0.960075 | + | 0.279741i | ||||
\(9\) | −0.839162 | − | 2.88024i | −0.279721 | − | 0.960081i | ||||
\(10\) | −1.13438 | + | 1.59535i | −0.358723 | + | 0.504493i | ||||
\(11\) | −3.82316 | + | 2.20731i | −1.15273 | + | 0.665528i | −0.949550 | − | 0.313614i | \(-0.898460\pi\) |
−0.203177 | + | 0.979142i | \(0.565127\pi\) | |||||||
\(12\) | 2.56249 | − | 2.33102i | 0.739726 | − | 0.672908i | ||||
\(13\) | − | 6.43609i | − | 1.78505i | −0.450999 | − | 0.892525i | \(-0.648932\pi\) | ||
0.450999 | − | 0.892525i | \(-0.351068\pi\) | |||||||
\(14\) | −3.15733 | + | 2.00781i | −0.843831 | + | 0.536610i | ||||
\(15\) | 0.941460 | + | 2.20490i | 0.243084 | + | 0.569303i | ||||
\(16\) | 3.71757 | + | 1.47637i | 0.929392 | + | 0.369093i | ||||
\(17\) | −2.52866 | + | 1.45992i | −0.613289 | + | 0.354083i | −0.774252 | − | 0.632878i | \(-0.781874\pi\) |
0.160962 | + | 0.986961i | \(0.448540\pi\) | |||||||
\(18\) | −0.797072 | − | 4.16709i | −0.187872 | − | 0.982194i | ||||
\(19\) | 1.58928 | − | 2.75271i | 0.364606 | − | 0.631515i | −0.624107 | − | 0.781339i | \(-0.714537\pi\) |
0.988713 | + | 0.149823i | \(0.0478705\pi\) | |||||||
\(20\) | −1.81001 | + | 2.09470i | −0.404730 | + | 0.468390i | ||||
\(21\) | 0.0791630 | + | 4.58189i | 0.0172748 | + | 0.999851i | ||||
\(22\) | −5.67722 | + | 2.59745i | −1.21039 | + | 0.553777i | ||||
\(23\) | −1.84696 | + | 3.19902i | −0.385117 | + | 0.667043i | −0.991785 | − | 0.127912i | \(-0.959172\pi\) |
0.606668 | + | 0.794955i | \(0.292506\pi\) | |||||||
\(24\) | 3.91882 | − | 2.93987i | 0.799926 | − | 0.600099i | ||||
\(25\) | 1.54201 | + | 2.67084i | 0.308402 | + | 0.534169i | ||||
\(26\) | 0.858934 | − | 9.06138i | 0.168451 | − | 1.77708i | ||||
\(27\) | −4.86280 | − | 1.83117i | −0.935846 | − | 0.352409i | ||||
\(28\) | −4.71316 | + | 2.40544i | −0.890704 | + | 0.454585i | ||||
\(29\) | 6.67884 | 1.24023 | 0.620115 | − | 0.784511i | \(-0.287086\pi\) | ||||
0.620115 | + | 0.784511i | \(0.287086\pi\) | |||||||
\(30\) | 1.03123 | + | 3.22993i | 0.188275 | + | 0.589701i | ||||
\(31\) | −2.17580 | + | 1.25620i | −0.390786 | + | 0.225620i | −0.682500 | − | 0.730885i | \(-0.739107\pi\) |
0.291715 | + | 0.956505i | \(0.405774\pi\) | |||||||
\(32\) | 5.03695 | + | 2.57472i | 0.890415 | + | 0.455150i | ||||
\(33\) | −0.915722 | + | 7.59130i | −0.159407 | + | 1.32148i | ||||
\(34\) | −3.75494 | + | 1.71796i | −0.643966 | + | 0.294628i | ||||
\(35\) | −0.501330 | − | 3.62774i | −0.0847402 | − | 0.613200i | ||||
\(36\) | −0.566076 | − | 5.97324i | −0.0943460 | − | 0.995539i | ||||
\(37\) | 5.00149 | + | 2.88761i | 0.822240 | + | 0.474720i | 0.851188 | − | 0.524861i | \(-0.175883\pi\) |
−0.0289485 | + | 0.999581i | \(0.509216\pi\) | |||||||
\(38\) | 2.60492 | − | 3.66345i | 0.422573 | − | 0.594290i | ||||
\(39\) | −8.91713 | − | 6.68987i | −1.42788 | − | 1.07124i | ||||
\(40\) | −2.82786 | + | 2.70758i | −0.447124 | + | 0.428107i | ||||
\(41\) | − | 0.497427i | − | 0.0776850i | −0.999245 | − | 0.0388425i | \(-0.987633\pi\) | ||
0.999245 | − | 0.0388425i | \(-0.0123671\pi\) | |||||||
\(42\) | −0.500027 | + | 6.46142i | −0.0771558 | + | 0.997019i | ||||
\(43\) | 0.865898 | 0.132048 | 0.0660241 | − | 0.997818i | \(-0.478969\pi\) | ||||
0.0660241 | + | 0.997818i | \(0.478969\pi\) | |||||||
\(44\) | −8.33962 | + | 2.89929i | −1.25724 | + | 0.437085i | ||||
\(45\) | 4.03345 | + | 0.987462i | 0.601271 | + | 0.147202i | ||||
\(46\) | −3.02726 | + | 4.25743i | −0.446346 | + | 0.627723i | ||||
\(47\) | −1.59001 | + | 2.75398i | −0.231927 | + | 0.401710i | −0.958375 | − | 0.285512i | \(-0.907836\pi\) |
0.726448 | + | 0.687221i | \(0.241170\pi\) | |||||||
\(48\) | 5.90966 | − | 3.61607i | 0.852986 | − | 0.521934i | ||||
\(49\) | 1.72472 | − | 6.78420i | 0.246388 | − | 0.969171i | ||||
\(50\) | 1.81456 | + | 3.96608i | 0.256618 | + | 0.560888i | ||||
\(51\) | −0.605663 | + | 5.02092i | −0.0848097 | + | 0.703069i | ||||
\(52\) | 2.41859 | − | 12.6429i | 0.335398 | − | 1.75326i | ||||
\(53\) | −4.12906 | − | 7.15175i | −0.567171 | − | 0.982368i | −0.996844 | − | 0.0793841i | \(-0.974705\pi\) |
0.429673 | − | 0.902984i | \(-0.358629\pi\) | |||||||
\(54\) | −6.60197 | − | 3.22708i | −0.898414 | − | 0.439150i | ||||
\(55\) | − | 6.11065i | − | 0.823960i | ||||||
\(56\) | −6.95669 | + | 2.75762i | −0.929627 | + | 0.368502i | ||||
\(57\) | −2.16191 | − | 5.06319i | −0.286351 | − | 0.670635i | ||||
\(58\) | 9.40316 | + | 0.891331i | 1.23470 | + | 0.117038i | ||||
\(59\) | 6.62279 | − | 3.82367i | 0.862214 | − | 0.497799i | −0.00253919 | − | 0.999997i | \(-0.500808\pi\) |
0.864753 | + | 0.502197i | \(0.167475\pi\) | |||||||
\(60\) | 1.02081 | + | 4.68505i | 0.131786 | + | 0.604837i | ||||
\(61\) | −2.99321 | − | 1.72813i | −0.383241 | − | 0.221265i | 0.295986 | − | 0.955192i | \(-0.404352\pi\) |
−0.679228 | + | 0.733928i | \(0.737685\pi\) | |||||||
\(62\) | −3.23096 | + | 1.47823i | −0.410333 | + | 0.187736i | ||||
\(63\) | 6.43045 | + | 4.65289i | 0.810160 | + | 0.586209i | ||||
\(64\) | 6.74792 | + | 4.29716i | 0.843490 | + | 0.537146i | ||||
\(65\) | 7.71521 | + | 4.45438i | 0.956954 | + | 0.552497i | ||||
\(66\) | −2.30235 | + | 10.5656i | −0.283400 | + | 1.30054i | ||||
\(67\) | −3.36806 | − | 5.83364i | −0.411473 | − | 0.712693i | 0.583578 | − | 0.812057i | \(-0.301652\pi\) |
−0.995051 | + | 0.0993644i | \(0.968319\pi\) | |||||||
\(68\) | −5.51586 | + | 1.91760i | −0.668896 | + | 0.232544i | ||||
\(69\) | 2.51243 | + | 5.88411i | 0.302461 | + | 0.708363i | ||||
\(70\) | −0.221680 | − | 5.17441i | −0.0264958 | − | 0.618460i | ||||
\(71\) | −1.90437 | −0.226007 | −0.113004 | − | 0.993595i | \(-0.536047\pi\) | ||||
−0.113004 | + | 0.993595i | \(0.536047\pi\) | |||||||
\(72\) | 0.000183819 | − | 8.48528i | 2.16633e−5 | − | 1.00000i | ||||
\(73\) | 3.23515 | + | 5.60345i | 0.378646 | + | 0.655834i | 0.990866 | − | 0.134854i | \(-0.0430564\pi\) |
−0.612219 | + | 0.790688i | \(0.709723\pi\) | |||||||
\(74\) | 6.65624 | + | 4.73295i | 0.773772 | + | 0.550195i | ||||
\(75\) | 5.30324 | + | 0.639719i | 0.612365 | + | 0.0738684i | ||||
\(76\) | 4.15638 | − | 4.81014i | 0.476769 | − | 0.551761i | ||||
\(77\) | 4.40032 | − | 10.8194i | 0.501463 | − | 1.23298i | ||||
\(78\) | −11.6616 | − | 10.6087i | −1.32042 | − | 1.20120i | ||||
\(79\) | −1.65073 | − | 0.953048i | −0.185721 | − | 0.107226i | 0.404257 | − | 0.914646i | \(-0.367530\pi\) |
−0.589978 | + | 0.807419i | \(0.700864\pi\) | |||||||
\(80\) | −4.34270 | + | 3.43462i | −0.485528 | + | 0.384002i | ||||
\(81\) | −7.59162 | + | 4.83398i | −0.843513 | + | 0.537109i | ||||
\(82\) | 0.0663845 | − | 0.700328i | 0.00733094 | − | 0.0773383i | ||||
\(83\) | 7.00064i | 0.768420i | 0.923246 | + | 0.384210i | \(0.125526\pi\) | ||||
−0.923246 | + | 0.384210i | \(0.874474\pi\) | |||||||
\(84\) | −1.56630 | + | 9.03032i | −0.170898 | + | 0.985289i | ||||
\(85\) | − | 4.04161i | − | 0.438374i | ||||||
\(86\) | 1.21910 | + | 0.115559i | 0.131459 | + | 0.0124611i | ||||
\(87\) | 6.94220 | − | 9.25347i | 0.744282 | − | 0.992076i | ||||
\(88\) | −12.1283 | + | 2.96895i | −1.29288 | + | 0.316491i | ||||
\(89\) | 8.22776 | + | 4.75030i | 0.872141 | + | 0.503531i | 0.868059 | − | 0.496461i | \(-0.165367\pi\) |
0.00408165 | + | 0.999992i | \(0.498701\pi\) | |||||||
\(90\) | 5.54692 | + | 1.92854i | 0.584697 | + | 0.203286i | ||||
\(91\) | 10.4527 | + | 13.4426i | 1.09574 | + | 1.40916i | ||||
\(92\) | −4.83027 | + | 5.59004i | −0.503591 | + | 0.582801i | ||||
\(93\) | −0.521147 | + | 4.32029i | −0.0540404 | + | 0.447993i | ||||
\(94\) | −2.60612 | + | 3.66514i | −0.268801 | + | 0.378031i | ||||
\(95\) | 2.19986 | + | 3.81027i | 0.225701 | + | 0.390926i | ||||
\(96\) | 8.80281 | − | 4.30239i | 0.898433 | − | 0.439111i | ||||
\(97\) | 1.19214 | 0.121044 | 0.0605218 | − | 0.998167i | \(-0.480724\pi\) | ||||
0.0605218 | + | 0.998167i | \(0.480724\pi\) | |||||||
\(98\) | 3.33362 | − | 9.32132i | 0.336747 | − | 0.941595i | ||||
\(99\) | 9.56583 | + | 9.15936i | 0.961402 | + | 0.920551i | ||||
\(100\) | 2.02543 | + | 5.82601i | 0.202543 | + | 0.582601i | ||||
\(101\) | −1.03566 | − | 1.79382i | −0.103052 | − | 0.178491i | 0.809889 | − | 0.586584i | \(-0.199527\pi\) |
−0.912941 | + | 0.408092i | \(0.866194\pi\) | |||||||
\(102\) | −1.52278 | + | 6.98813i | −0.150778 | + | 0.691928i | ||||
\(103\) | 4.80043 | + | 2.77153i | 0.473000 | + | 0.273087i | 0.717495 | − | 0.696564i | \(-0.245289\pi\) |
−0.244495 | + | 0.969651i | \(0.578622\pi\) | |||||||
\(104\) | 5.09241 | − | 17.4772i | 0.499352 | − | 1.71378i | ||||
\(105\) | −5.54729 | − | 3.07620i | −0.541361 | − | 0.300207i | ||||
\(106\) | −4.85888 | − | 10.6200i | −0.471936 | − | 1.03151i | ||||
\(107\) | −5.17522 | − | 2.98792i | −0.500308 | − | 0.288853i | 0.228533 | − | 0.973536i | \(-0.426607\pi\) |
−0.728841 | + | 0.684683i | \(0.759940\pi\) | |||||||
\(108\) | −8.86425 | − | 5.42448i | −0.852963 | − | 0.521971i | ||||
\(109\) | −1.43595 | + | 0.829048i | −0.137539 | + | 0.0794084i | −0.567191 | − | 0.823586i | \(-0.691970\pi\) |
0.429651 | + | 0.902995i | \(0.358636\pi\) | |||||||
\(110\) | 0.815503 | − | 8.60320i | 0.0777551 | − | 0.820283i | ||||
\(111\) | 9.19946 | − | 3.92803i | 0.873174 | − | 0.372832i | ||||
\(112\) | −10.1624 | + | 2.95405i | −0.960253 | + | 0.279131i | ||||
\(113\) | − | 16.4545i | − | 1.54791i | −0.633241 | − | 0.773955i | \(-0.718276\pi\) | ||
0.633241 | − | 0.773955i | \(-0.281724\pi\) | |||||||
\(114\) | −2.36804 | − | 7.41699i | −0.221787 | − | 0.694665i | ||||
\(115\) | −2.55654 | − | 4.42805i | −0.238398 | − | 0.412918i | ||||
\(116\) | 13.1198 | + | 2.50982i | 1.21814 | + | 0.233030i | ||||
\(117\) | −18.5375 | + | 5.40092i | −1.71379 | + | 0.499315i | ||||
\(118\) | 9.83453 | − | 4.49950i | 0.905342 | − | 0.414213i | ||||
\(119\) | 2.91039 | − | 7.15597i | 0.266795 | − | 0.655987i | ||||
\(120\) | 0.811958 | + | 6.73232i | 0.0741213 | + | 0.614574i | ||||
\(121\) | 4.24439 | − | 7.35150i | 0.385854 | − | 0.668318i | ||||
\(122\) | −3.98352 | − | 2.83250i | −0.360651 | − | 0.256443i | ||||
\(123\) | −0.689179 | − | 0.517041i | −0.0621412 | − | 0.0466200i | ||||
\(124\) | −4.74616 | + | 1.65002i | −0.426218 | + | 0.148176i | ||||
\(125\) | −11.1898 | −1.00085 | ||||||||
\(126\) | 8.43249 | + | 7.40899i | 0.751226 | + | 0.660045i | ||||
\(127\) | 2.31360i | 0.205299i | 0.994718 | + | 0.102649i | \(0.0327319\pi\) | ||||
−0.994718 | + | 0.102649i | \(0.967268\pi\) | |||||||
\(128\) | 8.92693 | + | 6.95054i | 0.789036 | + | 0.614347i | ||||
\(129\) | 0.900042 | − | 1.19969i | 0.0792443 | − | 0.105627i | ||||
\(130\) | 10.2678 | + | 7.30097i | 0.900545 | + | 0.640337i | ||||
\(131\) | −4.11383 | − | 2.37512i | −0.359427 | − | 0.207515i | 0.309402 | − | 0.950931i | \(-0.399871\pi\) |
−0.668830 | + | 0.743416i | \(0.733204\pi\) | |||||||
\(132\) | −4.65153 | + | 14.5681i | −0.404864 | + | 1.26799i | ||||
\(133\) | 1.15122 | + | 8.33050i | 0.0998234 | + | 0.722346i | ||||
\(134\) | −3.96336 | − | 8.66269i | −0.342382 | − | 0.748342i | ||||
\(135\) | 5.56061 | − | 4.56190i | 0.478581 | − | 0.392626i | ||||
\(136\) | −8.02171 | + | 1.96368i | −0.687856 | + | 0.168384i | ||||
\(137\) | −0.290760 | + | 0.167870i | −0.0248413 | + | 0.0143421i | −0.512369 | − | 0.858765i | \(-0.671232\pi\) |
0.487528 | + | 0.873107i | \(0.337899\pi\) | |||||||
\(138\) | 2.75198 | + | 8.61955i | 0.234264 | + | 0.733745i | ||||
\(139\) | −9.35410 | −0.793405 | −0.396702 | − | 0.917947i | \(-0.629845\pi\) | ||||
−0.396702 | + | 0.917947i | \(0.629845\pi\) | |||||||
\(140\) | 0.378453 | − | 7.31465i | 0.0319851 | − | 0.618201i | ||||
\(141\) | 2.16290 | + | 5.06553i | 0.182149 | + | 0.426594i | ||||
\(142\) | −2.68117 | − | 0.254150i | −0.224999 | − | 0.0213278i | ||||
\(143\) | 14.2064 | + | 24.6062i | 1.18800 | + | 2.05768i | ||||
\(144\) | 1.13267 | − | 11.9464i | 0.0943892 | − | 0.995535i | ||||
\(145\) | −4.62239 | + | 8.00621i | −0.383868 | + | 0.664880i | ||||
\(146\) | 3.80697 | + | 8.32086i | 0.315067 | + | 0.688639i | ||||
\(147\) | −7.60671 | − | 9.44129i | −0.627391 | − | 0.778705i | ||||
\(148\) | 8.73970 | + | 7.55185i | 0.718399 | + | 0.620758i | ||||
\(149\) | −1.03566 | + | 1.79382i | −0.0848446 | + | 0.146955i | −0.905325 | − | 0.424720i | \(-0.860373\pi\) |
0.820480 | + | 0.571675i | \(0.193706\pi\) | |||||||
\(150\) | 7.38107 | + | 1.60841i | 0.602662 | + | 0.131326i | ||||
\(151\) | 20.2661 | − | 11.7007i | 1.64923 | − | 0.952186i | 0.671858 | − | 0.740680i | \(-0.265496\pi\) |
0.977377 | − | 0.211506i | \(-0.0678369\pi\) | |||||||
\(152\) | 6.49372 | − | 6.21752i | 0.526710 | − | 0.504307i | ||||
\(153\) | 6.32688 | + | 6.05804i | 0.511498 | + | 0.489763i | ||||
\(154\) | 7.63913 | − | 14.6454i | 0.615578 | − | 1.18016i | ||||
\(155\) | − | 3.47763i | − | 0.279330i | ||||||
\(156\) | −15.0027 | − | 16.4924i | −1.20117 | − | 1.32045i | ||||
\(157\) | −19.3264 | + | 11.1581i | −1.54241 | + | 0.890511i | −0.543725 | + | 0.839264i | \(0.682986\pi\) |
−0.998686 | + | 0.0512477i | \(0.983680\pi\) | |||||||
\(158\) | −2.19687 | − | 1.56210i | −0.174774 | − | 0.124274i | ||||
\(159\) | −14.2006 | − | 1.71298i | −1.12618 | − | 0.135848i | ||||
\(160\) | −6.57246 | + | 4.25605i | −0.519599 | + | 0.336470i | ||||
\(161\) | −1.33787 | − | 9.68118i | −0.105439 | − | 0.762983i | ||||
\(162\) | −11.3334 | + | 5.79263i | −0.890434 | + | 0.455112i | ||||
\(163\) | −8.50029 | + | 14.7229i | −0.665794 | + | 1.15319i | 0.313276 | + | 0.949662i | \(0.398574\pi\) |
−0.979069 | + | 0.203526i | \(0.934760\pi\) | |||||||
\(164\) | 0.186926 | − | 0.977134i | 0.0145965 | − | 0.0763014i | ||||
\(165\) | −8.46624 | − | 6.35161i | −0.659096 | − | 0.494472i | ||||
\(166\) | −0.934277 | + | 9.85621i | −0.0725139 | + | 0.764991i | ||||
\(167\) | −23.9142 | −1.85054 | −0.925269 | − | 0.379311i | \(-0.876161\pi\) | ||||
−0.925269 | + | 0.379311i | \(0.876161\pi\) | |||||||
\(168\) | −3.41035 | + | 12.5048i | −0.263114 | + | 0.964765i | ||||
\(169\) | −28.4232 | −2.18640 | ||||||||
\(170\) | 0.539377 | − | 5.69019i | 0.0413683 | − | 0.436418i | ||||
\(171\) | −9.26215 | − | 2.26754i | −0.708294 | − | 0.173403i | ||||
\(172\) | 1.70095 | + | 0.325392i | 0.129696 | + | 0.0248109i | ||||
\(173\) | 4.38442 | − | 7.59404i | 0.333341 | − | 0.577364i | −0.649824 | − | 0.760085i | \(-0.725157\pi\) |
0.983165 | + | 0.182721i | \(0.0584906\pi\) | |||||||
\(174\) | 11.0089 | − | 12.1015i | 0.834581 | − | 0.917412i | ||||
\(175\) | −7.55835 | − | 3.07404i | −0.571358 | − | 0.232375i | ||||
\(176\) | −17.4717 | + | 2.56140i | −1.31698 | + | 0.193073i | ||||
\(177\) | 1.58629 | − | 13.1503i | 0.119233 | − | 0.988433i | ||||
\(178\) | 10.9499 | + | 7.78600i | 0.820732 | + | 0.583585i | ||||
\(179\) | −5.26665 | + | 3.04070i | −0.393648 | + | 0.227273i | −0.683740 | − | 0.729726i | \(-0.739648\pi\) |
0.290092 | + | 0.956999i | \(0.406314\pi\) | |||||||
\(180\) | 7.55215 | + | 3.45546i | 0.562904 | + | 0.257555i | ||||
\(181\) | 11.5816i | 0.860857i | 0.902625 | + | 0.430429i | \(0.141638\pi\) | ||||
−0.902625 | + | 0.430429i | \(0.858362\pi\) | |||||||
\(182\) | 12.9224 | + | 20.3208i | 0.957874 | + | 1.50628i | ||||
\(183\) | −5.50555 | + | 2.35079i | −0.406982 | + | 0.173775i | ||||
\(184\) | −7.54658 | + | 7.22560i | −0.556341 | + | 0.532678i | ||||
\(185\) | −6.92300 | + | 3.99700i | −0.508989 | + | 0.293865i | ||||
\(186\) | −1.31029 | + | 6.01299i | −0.0960753 | + | 0.440894i | ||||
\(187\) | 6.44498 | − | 11.1630i | 0.471304 | − | 0.816322i | ||||
\(188\) | −4.15830 | + | 4.81236i | −0.303275 | + | 0.350978i | ||||
\(189\) | 13.1305 | − | 4.07296i | 0.955106 | − | 0.296264i | ||||
\(190\) | 2.58869 | + | 5.65807i | 0.187803 | + | 0.410480i | ||||
\(191\) | −0.757053 | + | 1.31125i | −0.0547784 | + | 0.0948790i | −0.892114 | − | 0.451810i | \(-0.850779\pi\) |
0.837336 | + | 0.546689i | \(0.184112\pi\) | |||||||
\(192\) | 12.9677 | − | 4.88256i | 0.935861 | − | 0.352368i | ||||
\(193\) | −7.97806 | − | 13.8184i | −0.574273 | − | 0.994670i | −0.996120 | − | 0.0880034i | \(-0.971951\pi\) |
0.421847 | − | 0.906667i | \(-0.361382\pi\) | |||||||
\(194\) | 1.67842 | + | 0.159098i | 0.120504 | + | 0.0114226i | ||||
\(195\) | 14.1909 | − | 6.05931i | 1.01623 | − | 0.433917i | ||||
\(196\) | 5.93740 | − | 12.6786i | 0.424100 | − | 0.905615i | ||||
\(197\) | −0.963016 | −0.0686121 | −0.0343060 | − | 0.999411i | \(-0.510922\pi\) | ||||
−0.0343060 | + | 0.999411i | \(0.510922\pi\) | |||||||
\(198\) | 12.2454 | + | 14.1721i | 0.870242 | + | 1.00717i | ||||
\(199\) | −1.72593 | + | 0.996469i | −0.122348 | + | 0.0706378i | −0.559925 | − | 0.828543i | \(-0.689170\pi\) |
0.437577 | + | 0.899181i | \(0.355837\pi\) | |||||||
\(200\) | 2.07409 | + | 8.47276i | 0.146660 | + | 0.599115i | ||||
\(201\) | −11.5833 | − | 1.39727i | −0.817024 | − | 0.0985559i | ||||
\(202\) | −1.21871 | − | 2.66373i | −0.0857484 | − | 0.187420i | ||||
\(203\) | −13.9496 | + | 10.8470i | −0.979070 | + | 0.761309i | ||||
\(204\) | −3.07654 | + | 9.63538i | −0.215401 | + | 0.674612i | ||||
\(205\) | 0.596286 | + | 0.344266i | 0.0416464 | + | 0.0240446i | ||||
\(206\) | 6.38866 | + | 4.54269i | 0.445119 | + | 0.316504i | ||||
\(207\) | 10.7639 | + | 2.63519i | 0.748141 | + | 0.183158i | ||||
\(208\) | 9.50206 | − | 23.9266i | 0.658849 | − | 1.65901i | ||||
\(209\) | 14.0321i | 0.970620i | ||||||||
\(210\) | −7.39951 | − | 5.07131i | −0.510615 | − | 0.349954i | ||||
\(211\) | 21.4567 | 1.47714 | 0.738569 | − | 0.674178i | \(-0.235502\pi\) | ||||
0.738569 | + | 0.674178i | \(0.235502\pi\) | |||||||
\(212\) | −5.42352 | − | 15.6004i | −0.372489 | − | 1.07144i | ||||
\(213\) | −1.97947 | + | 2.63849i | −0.135631 | + | 0.180786i | ||||
\(214\) | −6.88746 | − | 4.89736i | −0.470817 | − | 0.334777i | ||||
\(215\) | −0.599283 | + | 1.03799i | −0.0408707 | + | 0.0707902i | ||||
\(216\) | −11.7561 | − | 8.82013i | −0.799900 | − | 0.600134i | ||||
\(217\) | 2.50427 | − | 6.15741i | 0.170001 | − | 0.417992i | ||||
\(218\) | −2.13232 | + | 0.975582i | −0.144419 | + | 0.0660747i | ||||
\(219\) | 11.1262 | + | 1.34214i | 0.751842 | + | 0.0906931i | ||||
\(220\) | 2.29630 | − | 12.0036i | 0.154816 | − | 0.809285i | ||||
\(221\) | 9.39617 | + | 16.2747i | 0.632055 | + | 1.09475i | ||||
\(222\) | 13.4762 | − | 4.30257i | 0.904461 | − | 0.288769i | ||||
\(223\) | 12.1938i | 0.816559i | 0.912857 | + | 0.408279i | \(0.133871\pi\) | ||||
−0.912857 | + | 0.408279i | \(0.866129\pi\) | |||||||
\(224\) | −14.7019 | + | 2.80279i | −0.982309 | + | 0.187269i | ||||
\(225\) | 6.39868 | − | 6.68264i | 0.426579 | − | 0.445509i | ||||
\(226\) | 2.19595 | − | 23.1663i | 0.146073 | − | 1.54100i | ||||
\(227\) | 13.5954 | − | 7.84932i | 0.902360 | − | 0.520978i | 0.0243951 | − | 0.999702i | \(-0.492234\pi\) |
0.877965 | + | 0.478724i | \(0.158901\pi\) | |||||||
\(228\) | −2.34413 | − | 10.7584i | −0.155244 | − | 0.712494i | ||||
\(229\) | 10.4894 | + | 6.05608i | 0.693161 | + | 0.400197i | 0.804795 | − | 0.593553i | \(-0.202275\pi\) |
−0.111634 | + | 0.993749i | \(0.535608\pi\) | |||||||
\(230\) | −3.00840 | − | 6.57545i | −0.198368 | − | 0.433572i | ||||
\(231\) | −10.4163 | − | 17.3426i | −0.685341 | − | 1.14106i | ||||
\(232\) | 18.1364 | + | 5.28449i | 1.19071 | + | 0.346944i | ||||
\(233\) | 5.05877 | + | 2.92068i | 0.331411 | + | 0.191340i | 0.656468 | − | 0.754354i | \(-0.272050\pi\) |
−0.325056 | + | 0.945695i | \(0.605383\pi\) | |||||||
\(234\) | −26.8198 | + | 5.13002i | −1.75326 | + | 0.335360i | ||||
\(235\) | −2.20088 | − | 3.81203i | −0.143569 | − | 0.248670i | ||||
\(236\) | 14.4466 | − | 5.02239i | 0.940390 | − | 0.326929i | ||||
\(237\) | −3.03626 | + | 1.29644i | −0.197226 | + | 0.0842126i | ||||
\(238\) | 5.05255 | − | 9.68650i | 0.327508 | − | 0.627883i | ||||
\(239\) | 22.6171 | 1.46298 | 0.731490 | − | 0.681852i | \(-0.238825\pi\) | ||||
0.731490 | + | 0.681852i | \(0.238825\pi\) | |||||||
\(240\) | 0.244689 | + | 9.58681i | 0.0157946 | + | 0.618826i | ||||
\(241\) | 12.7459 | + | 22.0766i | 0.821038 | + | 1.42208i | 0.904910 | + | 0.425604i | \(0.139938\pi\) |
−0.0838714 | + | 0.996477i | \(0.526729\pi\) | |||||||
\(242\) | 6.95679 | − | 9.78376i | 0.447200 | − | 0.628924i | ||||
\(243\) | −1.19354 | + | 15.5427i | −0.0765656 | + | 0.997065i | ||||
\(244\) | −5.23039 | − | 4.51951i | −0.334842 | − | 0.289332i | ||||
\(245\) | 6.93884 | + | 6.76279i | 0.443306 | + | 0.432059i | ||||
\(246\) | −0.901295 | − | 0.819919i | −0.0574645 | − | 0.0522761i | ||||
\(247\) | −17.7167 | − | 10.2287i | −1.12729 | − | 0.650839i | ||||
\(248\) | −6.90234 | + | 1.68966i | −0.438299 | + | 0.107293i | ||||
\(249\) | 9.69931 | + | 7.27669i | 0.614669 | + | 0.461141i | ||||
\(250\) | −15.7542 | − | 1.49335i | −0.996381 | − | 0.0944475i | ||||
\(251\) | 1.11008i | 0.0700675i | 0.999386 | + | 0.0350338i | \(0.0111539\pi\) | ||||
−0.999386 | + | 0.0350338i | \(0.988846\pi\) | |||||||
\(252\) | 10.8833 | + | 11.5565i | 0.685586 | + | 0.727991i | ||||
\(253\) | − | 16.3072i | − | 1.02522i | ||||||
\(254\) | −0.308763 | + | 3.25732i | −0.0193735 | + | 0.204382i | ||||
\(255\) | −5.59961 | − | 4.20098i | −0.350661 | − | 0.263075i | ||||
\(256\) | 11.6407 | + | 10.9770i | 0.727541 | + | 0.686064i | ||||
\(257\) | −12.0906 | − | 6.98049i | −0.754188 | − | 0.435431i | 0.0730169 | − | 0.997331i | \(-0.476737\pi\) |
−0.827205 | + | 0.561900i | \(0.810071\pi\) | |||||||
\(258\) | 1.42728 | − | 1.56893i | 0.0888584 | − | 0.0976775i | ||||
\(259\) | −15.1360 | + | 2.09169i | −0.940503 | + | 0.129971i | ||||
\(260\) | 13.4817 | + | 11.6494i | 0.836099 | + | 0.722462i | ||||
\(261\) | −5.60463 | − | 19.2367i | −0.346918 | − | 1.19072i | ||||
\(262\) | −5.47490 | − | 3.89296i | −0.338241 | − | 0.240508i | ||||
\(263\) | −7.08483 | − | 12.2713i | −0.436870 | − | 0.756680i | 0.560577 | − | 0.828103i | \(-0.310580\pi\) |
−0.997446 | + | 0.0714223i | \(0.977246\pi\) | |||||||
\(264\) | −8.49309 | + | 19.8896i | −0.522714 | + | 1.22412i | ||||
\(265\) | 11.4308 | 0.702189 | ||||||||
\(266\) | 0.509050 | + | 11.8822i | 0.0312119 | + | 0.728543i | ||||
\(267\) | 15.1337 | − | 6.46186i | 0.926166 | − | 0.395459i | ||||
\(268\) | −4.42394 | − | 12.7252i | −0.270235 | − | 0.777312i | ||||
\(269\) | −9.11023 | − | 15.7794i | −0.555461 | − | 0.962086i | −0.997868 | − | 0.0652716i | \(-0.979209\pi\) |
0.442407 | − | 0.896814i | \(-0.354125\pi\) | |||||||
\(270\) | 8.43762 | − | 5.68061i | 0.513497 | − | 0.345711i | ||||
\(271\) | 21.9278 | + | 12.6600i | 1.33202 | + | 0.769041i | 0.985609 | − | 0.169042i | \(-0.0540673\pi\) |
0.346410 | + | 0.938083i | \(0.387401\pi\) | |||||||
\(272\) | −11.5558 | + | 1.69412i | −0.700676 | + | 0.102721i | ||||
\(273\) | 29.4894 | − | 0.509500i | 1.78478 | − | 0.0308363i | ||||
\(274\) | −0.431765 | + | 0.197542i | −0.0260839 | + | 0.0119339i | ||||
\(275\) | −11.7907 | − | 6.80738i | −0.711008 | − | 0.410500i | ||||
\(276\) | 2.72419 | + | 12.5028i | 0.163977 | + | 0.752577i | ||||
\(277\) | 16.2822 | − | 9.40051i | 0.978300 | − | 0.564822i | 0.0765434 | − | 0.997066i | \(-0.475612\pi\) |
0.901756 | + | 0.432245i | \(0.142278\pi\) | |||||||
\(278\) | −13.1697 | − | 1.24836i | −0.789864 | − | 0.0748717i | ||||
\(279\) | 5.44401 | + | 5.21269i | 0.325924 | + | 0.312075i | ||||
\(280\) | 1.50901 | − | 10.2478i | 0.0901805 | − | 0.612424i | ||||
\(281\) | 25.4910i | 1.52067i | 0.649533 | + | 0.760333i | \(0.274964\pi\) | ||||
−0.649533 | + | 0.760333i | \(0.725036\pi\) | |||||||
\(282\) | 2.36913 | + | 7.42042i | 0.141080 | + | 0.441880i | ||||
\(283\) | −6.01848 | − | 10.4243i | −0.357761 | − | 0.619661i | 0.629825 | − | 0.776737i | \(-0.283126\pi\) |
−0.987586 | + | 0.157076i | \(0.949793\pi\) | |||||||
\(284\) | −3.74091 | − | 0.715636i | −0.221982 | − | 0.0424652i | ||||
\(285\) | 7.56570 | + | 0.912634i | 0.448153 | + | 0.0540598i | ||||
\(286\) | 16.7174 | + | 36.5391i | 0.988520 | + | 2.16060i | ||||
\(287\) | 0.807861 | + | 1.03894i | 0.0476865 | + | 0.0613266i | ||||
\(288\) | 3.18901 | − | 16.6682i | 0.187914 | − | 0.982185i | ||||
\(289\) | −4.23726 | + | 7.33916i | −0.249251 | + | 0.431715i | ||||
\(290\) | −7.57635 | + | 10.6551i | −0.444898 | + | 0.625688i | ||||
\(291\) | 1.23915 | − | 1.65170i | 0.0726403 | − | 0.0968244i | ||||
\(292\) | 4.24937 | + | 12.2230i | 0.248676 | + | 0.715298i | ||||
\(293\) | 3.90464 | 0.228111 | 0.114056 | − | 0.993474i | \(-0.463616\pi\) | ||||
0.114056 | + | 0.993474i | \(0.463616\pi\) | |||||||
\(294\) | −9.44951 | − | 14.3076i | −0.551107 | − | 0.834435i | ||||
\(295\) | 10.5854i | 0.616303i | ||||||||
\(296\) | 11.2968 | + | 11.7986i | 0.656613 | + | 0.685782i | ||||
\(297\) | 22.6332 | − | 3.73282i | 1.31331 | − | 0.216600i | ||||
\(298\) | −1.69750 | + | 2.38730i | −0.0983338 | + | 0.138293i | ||||
\(299\) | 20.5892 | + | 11.8872i | 1.19070 | + | 0.687453i | ||||
\(300\) | 10.1772 | + | 3.24953i | 0.587580 | + | 0.187612i | ||||
\(301\) | −1.80854 | + | 1.40629i | −0.104242 | + | 0.0810571i | ||||
\(302\) | 30.0943 | − | 13.7688i | 1.73173 | − | 0.792303i | ||||
\(303\) | −3.56181 | − | 0.429654i | −0.204621 | − | 0.0246830i | ||||
\(304\) | 9.97228 | − | 7.88703i | 0.571950 | − | 0.452352i | ||||
\(305\) | 4.14317 | − | 2.39206i | 0.237237 | − | 0.136969i | ||||
\(306\) | 8.09915 | + | 9.37349i | 0.462997 | + | 0.535847i | ||||
\(307\) | −11.0339 | −0.629740 | −0.314870 | − | 0.949135i | \(-0.601961\pi\) | ||||
−0.314870 | + | 0.949135i | \(0.601961\pi\) | |||||||
\(308\) | 12.7097 | − | 19.5998i | 0.724200 | − | 1.11680i | ||||
\(309\) | 8.82964 | − | 3.77013i | 0.502301 | − | 0.214475i | ||||
\(310\) | 0.464111 | − | 4.89617i | 0.0263597 | − | 0.278084i | ||||
\(311\) | −15.6553 | − | 27.1158i | −0.887732 | − | 1.53760i | −0.842550 | − | 0.538618i | \(-0.818947\pi\) |
−0.0451815 | − | 0.998979i | \(-0.514387\pi\) | |||||||
\(312\) | −18.9213 | − | 25.2219i | −1.07121 | − | 1.42791i | ||||
\(313\) | 6.53063 | − | 11.3114i | 0.369133 | − | 0.639357i | −0.620297 | − | 0.784367i | \(-0.712988\pi\) |
0.989430 | + | 0.145010i | \(0.0463213\pi\) | |||||||
\(314\) | −28.6987 | + | 13.1303i | −1.61956 | + | 0.740984i | ||||
\(315\) | −10.0281 | + | 4.48821i | −0.565019 | + | 0.252882i | ||||
\(316\) | −2.88451 | − | 2.49247i | −0.162267 | − | 0.140212i | ||||
\(317\) | −12.2315 | + | 21.1856i | −0.686990 | + | 1.18990i | 0.285817 | + | 0.958284i | \(0.407735\pi\) |
−0.972807 | + | 0.231618i | \(0.925598\pi\) | |||||||
\(318\) | −19.7644 | − | 4.30686i | −1.10833 | − | 0.241517i | ||||
\(319\) | −25.5343 | + | 14.7422i | −1.42965 | + | 0.825407i | ||||
\(320\) | −9.82138 | + | 5.11497i | −0.549032 | + | 0.285935i | ||||
\(321\) | −9.51902 | + | 4.06448i | −0.531300 | + | 0.226857i | ||||
\(322\) | −0.591585 | − | 13.8087i | −0.0329678 | − | 0.769529i | ||||
\(323\) | 9.28088i | 0.516402i | ||||||||
\(324\) | −16.7294 | + | 6.64295i | −0.929408 | + | 0.369053i | ||||
\(325\) | 17.1898 | − | 9.92452i | 0.953517 | − | 0.550513i | ||||
\(326\) | −13.9324 | + | 19.5940i | −0.771646 | + | 1.08521i | ||||
\(327\) | −0.343939 | + | 2.85124i | −0.0190198 | + | 0.157674i | ||||
\(328\) | 0.393578 | − | 1.35076i | 0.0217317 | − | 0.0745834i | ||||
\(329\) | −1.15175 | − | 8.33435i | −0.0634981 | − | 0.459488i | ||||
\(330\) | −11.0720 | − | 10.0723i | −0.609493 | − | 0.554463i | ||||
\(331\) | −7.26267 | + | 12.5793i | −0.399192 | + | 0.691422i | −0.993626 | − | 0.112723i | \(-0.964043\pi\) |
0.594434 | + | 0.804144i | \(0.297376\pi\) | |||||||
\(332\) | −2.63074 | + | 13.7519i | −0.144381 | + | 0.754734i | ||||
\(333\) | 4.11997 | − | 16.8287i | 0.225773 | − | 0.922206i | ||||
\(334\) | −33.6689 | − | 3.19150i | −1.84228 | − | 0.174631i | ||||
\(335\) | 9.32404 | 0.509427 | ||||||||
\(336\) | −6.47028 | + | 17.1504i | −0.352983 | + | 0.935630i | ||||
\(337\) | −18.7954 | −1.02385 | −0.511924 | − | 0.859030i | \(-0.671067\pi\) | ||||
−0.511924 | + | 0.859030i | \(0.671067\pi\) | |||||||
\(338\) | −40.0171 | − | 3.79324i | −2.17664 | − | 0.206325i | ||||
\(339\) | −22.7975 | − | 17.1033i | −1.23819 | − | 0.928926i | ||||
\(340\) | 1.51878 | − | 7.93925i | 0.0823674 | − | 0.430566i | ||||
\(341\) | 5.54563 | − | 9.60532i | 0.300313 | − | 0.520157i | ||||
\(342\) | −12.7376 | − | 4.42857i | −0.688769 | − | 0.239469i | ||||
\(343\) | 7.41581 | + | 16.9707i | 0.400416 | + | 0.916334i | ||||
\(344\) | 2.35135 | + | 0.685122i | 0.126776 | + | 0.0369393i | ||||
\(345\) | −8.79236 | − | 1.06060i | −0.473365 | − | 0.0571010i | ||||
\(346\) | 7.18630 | − | 10.1065i | 0.386338 | − | 0.543331i | ||||
\(347\) | 20.7411 | − | 11.9749i | 1.11344 | − | 0.642846i | 0.173723 | − | 0.984795i | \(-0.444420\pi\) |
0.939719 | + | 0.341949i | \(0.111087\pi\) | |||||||
\(348\) | 17.1144 | − | 15.5685i | 0.917430 | − | 0.834561i | ||||
\(349\) | 3.59423i | 0.192395i | 0.995362 | + | 0.0961974i | \(0.0306680\pi\) | ||||
−0.995362 | + | 0.0961974i | \(0.969332\pi\) | |||||||
\(350\) | −10.2312 | − | 5.33665i | −0.546879 | − | 0.285256i | ||||
\(351\) | −11.7856 | + | 31.2974i | −0.629067 | + | 1.67053i | ||||
\(352\) | −24.9403 | + | 1.27450i | −1.32932 | + | 0.0679310i | ||||
\(353\) | −22.4603 | + | 12.9675i | −1.19544 | + | 0.690189i | −0.959536 | − | 0.281587i | \(-0.909139\pi\) |
−0.235907 | + | 0.971776i | \(0.575806\pi\) | |||||||
\(354\) | 3.98832 | − | 18.3026i | 0.211977 | − | 0.972771i | ||||
\(355\) | 1.31800 | − | 2.28285i | 0.0699524 | − | 0.121161i | ||||
\(356\) | 14.3773 | + | 12.4233i | 0.761998 | + | 0.658432i | ||||
\(357\) | −6.88937 | − | 11.4705i | −0.364624 | − | 0.607081i | ||||
\(358\) | −7.82073 | + | 3.57815i | −0.413338 | + | 0.189111i | ||||
\(359\) | 14.1756 | − | 24.5529i | 0.748162 | − | 1.29585i | −0.200541 | − | 0.979685i | \(-0.564270\pi\) |
0.948703 | − | 0.316169i | \(-0.102397\pi\) | |||||||
\(360\) | 10.1715 | + | 5.87283i | 0.536087 | + | 0.309525i | ||||
\(361\) | 4.44838 | + | 7.70483i | 0.234126 | + | 0.405517i | ||||
\(362\) | −1.54564 | + | 16.3058i | −0.0812370 | + | 0.857016i | ||||
\(363\) | −5.77367 | − | 13.5219i | −0.303039 | − | 0.709718i | ||||
\(364\) | 15.4816 | + | 30.3343i | 0.811456 | + | 1.58995i | ||||
\(365\) | −8.95612 | −0.468785 | ||||||||
\(366\) | −8.06500 | + | 2.57493i | −0.421564 | + | 0.134594i | ||||
\(367\) | 3.10999 | − | 1.79556i | 0.162340 | − | 0.0937272i | −0.416629 | − | 0.909077i | \(-0.636789\pi\) |
0.578969 | + | 0.815349i | \(0.303455\pi\) | |||||||
\(368\) | −11.5891 | + | 9.16580i | −0.604126 | + | 0.477800i | ||||
\(369\) | −1.43271 | + | 0.417421i | −0.0745839 | + | 0.0217301i | ||||
\(370\) | −10.2803 | + | 4.70347i | −0.534449 | + | 0.244522i | ||||
\(371\) | 20.2391 | + | 8.23139i | 1.05076 | + | 0.427353i | ||||
\(372\) | −2.64723 | + | 8.29084i | −0.137253 | + | 0.429860i | ||||
\(373\) | −13.4339 | − | 7.75604i | −0.695579 | − | 0.401593i | 0.110120 | − | 0.993918i | \(-0.464877\pi\) |
−0.805699 | + | 0.592326i | \(0.798210\pi\) | |||||||
\(374\) | 10.5637 | − | 14.8563i | 0.546235 | − | 0.768203i | ||||
\(375\) | −11.6310 | + | 15.5034i | −0.600625 | + | 0.800590i | ||||
\(376\) | −6.49672 | + | 6.22039i | −0.335043 | + | 0.320792i | ||||
\(377\) | − | 42.9856i | − | 2.21387i | ||||||
\(378\) | 19.0301 | − | 3.98198i | 0.978802 | − | 0.204811i | ||||
\(379\) | −14.5848 | −0.749171 | −0.374586 | − | 0.927192i | \(-0.622215\pi\) | ||||
−0.374586 | + | 0.927192i | \(0.622215\pi\) | |||||||
\(380\) | 2.88951 | + | 8.31149i | 0.148229 | + | 0.426371i | ||||
\(381\) | 3.20547 | + | 2.40483i | 0.164221 | + | 0.123203i | ||||
\(382\) | −1.24085 | + | 1.74509i | −0.0634875 | + | 0.0892863i | ||||
\(383\) | 5.47353 | − | 9.48043i | 0.279684 | − | 0.484427i | −0.691622 | − | 0.722260i | \(-0.743104\pi\) |
0.971306 | + | 0.237832i | \(0.0764369\pi\) | |||||||
\(384\) | 18.9088 | − | 5.14355i | 0.964937 | − | 0.262481i | ||||
\(385\) | 9.92420 | + | 12.7629i | 0.505784 | + | 0.650456i | ||||
\(386\) | −9.38818 | − | 20.5197i | −0.477846 | − | 1.04442i | ||||
\(387\) | −0.726628 | − | 2.49400i | −0.0369366 | − | 0.126777i | ||||
\(388\) | 2.34182 | + | 0.447990i | 0.118888 | + | 0.0227433i | ||||
\(389\) | 9.51835 | + | 16.4863i | 0.482600 | + | 0.835887i | 0.999800 | − | 0.0199769i | \(-0.00635927\pi\) |
−0.517201 | + | 0.855864i | \(0.673026\pi\) | |||||||
\(390\) | 20.7881 | − | 6.63706i | 1.05265 | − | 0.336081i | ||||
\(391\) | − | 10.7856i | − | 0.545453i | ||||||
\(392\) | 10.0513 | − | 17.0579i | 0.507668 | − | 0.861553i | ||||
\(393\) | −7.56676 | + | 3.23089i | −0.381692 | + | 0.162977i | ||||
\(394\) | −1.35583 | − | 0.128520i | −0.0683059 | − | 0.00647475i | ||||
\(395\) | 2.28492 | − | 1.31920i | 0.114967 | − | 0.0663760i | ||||
\(396\) | 15.3490 | + | 21.5872i | 0.771314 | + | 1.08480i | ||||
\(397\) | 6.49649 | + | 3.75075i | 0.326050 | + | 0.188245i | 0.654086 | − | 0.756420i | \(-0.273053\pi\) |
−0.328036 | + | 0.944665i | \(0.606387\pi\) | |||||||
\(398\) | −2.56293 | + | 1.17259i | −0.128468 | + | 0.0587768i | ||||
\(399\) | 12.7384 | + | 7.06399i | 0.637720 | + | 0.353642i | ||||
\(400\) | 1.78938 | + | 12.2056i | 0.0894690 | + | 0.610281i | ||||
\(401\) | 24.3528 | + | 14.0601i | 1.21612 | + | 0.702128i | 0.964086 | − | 0.265591i | \(-0.0855670\pi\) |
0.252035 | + | 0.967718i | \(0.418900\pi\) | |||||||
\(402\) | −16.1217 | − | 3.51308i | −0.804078 | − | 0.175217i | ||||
\(403\) | 8.08501 | + | 14.0036i | 0.402743 | + | 0.697571i | ||||
\(404\) | −1.36034 | − | 3.91292i | −0.0676794 | − | 0.194675i | ||||
\(405\) | −0.540584 | − | 12.4460i | −0.0268618 | − | 0.618445i | ||||
\(406\) | −21.0873 | + | 13.4098i | −1.04654 | + | 0.665519i | ||||
\(407\) | −25.4954 | −1.26376 | ||||||||
\(408\) | −5.61737 | + | 13.1551i | −0.278101 | + | 0.651274i | ||||
\(409\) | 6.57782 | + | 11.3931i | 0.325252 | + | 0.563353i | 0.981563 | − | 0.191137i | \(-0.0612175\pi\) |
−0.656311 | + | 0.754490i | \(0.727884\pi\) | |||||||
\(410\) | 0.793568 | + | 0.564271i | 0.0391915 | + | 0.0278673i | ||||
\(411\) | −0.0696427 | + | 0.577335i | −0.00343522 | + | 0.0284778i | ||||
\(412\) | 8.38836 | + | 7.24827i | 0.413265 | + | 0.357096i | ||||
\(413\) | −7.62258 | + | 18.7422i | −0.375083 | + | 0.922242i | ||||
\(414\) | 14.8028 | + | 5.14659i | 0.727518 | + | 0.252941i | ||||
\(415\) | −8.39196 | − | 4.84510i | −0.411945 | − | 0.237837i | ||||
\(416\) | 16.5711 | − | 32.4182i | 0.812466 | − | 1.58943i | ||||
\(417\) | −9.72296 | + | 12.9600i | −0.476135 | + | 0.634654i | ||||
\(418\) | −1.87267 | + | 19.7558i | −0.0915951 | + | 0.966289i | ||||
\(419\) | 4.42222i | 0.216040i | 0.994149 | + | 0.108020i | \(0.0344510\pi\) | ||||
−0.994149 | + | 0.108020i | \(0.965549\pi\) | |||||||
\(420\) | −9.74100 | − | 8.12743i | −0.475312 | − | 0.396578i | ||||
\(421\) | − | 22.2013i | − | 1.08203i | −0.841014 | − | 0.541014i | \(-0.818041\pi\) | ||
0.841014 | − | 0.541014i | \(-0.181959\pi\) | |||||||
\(422\) | 30.2089 | + | 2.86352i | 1.47055 | + | 0.139394i | ||||
\(423\) | 9.26642 | + | 2.26859i | 0.450549 | + | 0.110303i | ||||
\(424\) | −5.55382 | − | 22.6876i | −0.269718 | − | 1.10181i | ||||
\(425\) | −7.79844 | − | 4.50243i | −0.378280 | − | 0.218400i | ||||
\(426\) | −3.13902 | + | 3.45056i | −0.152086 | + | 0.167180i | ||||
\(427\) | 9.05832 | − | 1.25180i | 0.438363 | − | 0.0605788i | ||||
\(428\) | −9.04328 | − | 7.81418i | −0.437124 | − | 0.377713i | ||||
\(429\) | 48.8582 | + | 5.89367i | 2.35890 | + | 0.284549i | ||||
\(430\) | −0.982257 | + | 1.38141i | −0.0473686 | + | 0.0666174i | ||||
\(431\) | 8.76759 | + | 15.1859i | 0.422320 | + | 0.731479i | 0.996166 | − | 0.0874837i | \(-0.0278826\pi\) |
−0.573846 | + | 0.818963i | \(0.694549\pi\) | |||||||
\(432\) | −15.3743 | − | 13.9868i | −0.739697 | − | 0.672940i | ||||
\(433\) | 0.852347 | 0.0409612 | 0.0204806 | − | 0.999790i | \(-0.493480\pi\) | ||||
0.0204806 | + | 0.999790i | \(0.493480\pi\) | |||||||
\(434\) | 4.34750 | − | 8.33483i | 0.208687 | − | 0.400085i | ||||
\(435\) | 6.28786 | + | 14.7262i | 0.301480 | + | 0.706066i | ||||
\(436\) | −3.13230 | + | 1.08895i | −0.150010 | + | 0.0521514i | ||||
\(437\) | 5.87066 | + | 10.1683i | 0.280832 | + | 0.486415i | ||||
\(438\) | 15.4855 | + | 3.37446i | 0.739928 | + | 0.161238i | ||||
\(439\) | −14.5943 | − | 8.42604i | −0.696549 | − | 0.402153i | 0.109512 | − | 0.993986i | \(-0.465071\pi\) |
−0.806061 | + | 0.591833i | \(0.798405\pi\) | |||||||
\(440\) | 4.83492 | − | 16.5935i | 0.230496 | − | 0.791064i | ||||
\(441\) | −20.9875 | + | 0.725433i | −0.999403 | + | 0.0345444i | ||||
\(442\) | 11.0569 | + | 24.1671i | 0.525925 | + | 1.14951i | ||||
\(443\) | −24.9578 | − | 14.4094i | −1.18578 | − | 0.684611i | −0.228436 | − | 0.973559i | \(-0.573361\pi\) |
−0.957345 | + | 0.288948i | \(0.906695\pi\) | |||||||
\(444\) | 19.5473 | − | 4.25912i | 0.927675 | − | 0.202129i | ||||
\(445\) | −11.3888 | + | 6.57531i | −0.539879 | + | 0.311699i | ||||
\(446\) | −1.62734 | + | 17.1677i | −0.0770567 | + | 0.812915i | ||||
\(447\) | 1.40881 | + | 3.29945i | 0.0666347 | + | 0.156058i | ||||
\(448\) | −21.0728 | + | 1.98400i | −0.995597 | + | 0.0937352i | ||||
\(449\) | 1.27217i | 0.0600373i | 0.999549 | + | 0.0300186i | \(0.00955666\pi\) | ||||
−0.999549 | + | 0.0300186i | \(0.990443\pi\) | |||||||
\(450\) | 9.90056 | − | 8.55456i | 0.466717 | − | 0.403266i | ||||
\(451\) | 1.09797 | + | 1.90174i | 0.0517015 | + | 0.0895496i | ||||
\(452\) | 6.18337 | − | 32.3229i | 0.290841 | − | 1.52034i | ||||
\(453\) | 4.85413 | − | 40.2406i | 0.228067 | − | 1.89067i | ||||
\(454\) | 20.1886 | − | 9.23669i | 0.947497 | − | 0.433499i | ||||
\(455\) | −23.3485 | + | 3.22660i | −1.09459 | + | 0.151265i | ||||
\(456\) | −1.86453 | − | 15.4597i | −0.0873145 | − | 0.723965i | ||||
\(457\) | 7.46471 | − | 12.9293i | 0.349185 | − | 0.604805i | −0.636920 | − | 0.770930i | \(-0.719792\pi\) |
0.986105 | + | 0.166124i | \(0.0531253\pi\) | |||||||
\(458\) | 13.9599 | + | 9.92624i | 0.652302 | + | 0.463823i | ||||
\(459\) | 14.9697 | − | 2.46890i | 0.698726 | − | 0.115239i | ||||
\(460\) | −3.35801 | − | 9.65908i | −0.156568 | − | 0.450357i | ||||
\(461\) | 27.1371 | 1.26390 | 0.631950 | − | 0.775009i | \(-0.282255\pi\) | ||||
0.631950 | + | 0.775009i | \(0.282255\pi\) | |||||||
\(462\) | −12.3506 | − | 25.8068i | −0.574604 | − | 1.20064i | ||||
\(463\) | − | 24.3062i | − | 1.12960i | −0.825227 | − | 0.564801i | \(-0.808953\pi\) | ||
0.825227 | − | 0.564801i | \(-0.191047\pi\) | |||||||
\(464\) | 24.8291 | + | 9.86046i | 1.15266 | + | 0.457760i | ||||
\(465\) | −4.81822 | − | 3.61476i | −0.223440 | − | 0.167631i | ||||
\(466\) | 6.73248 | + | 4.78716i | 0.311876 | + | 0.221761i | ||||
\(467\) | −22.2686 | − | 12.8568i | −1.03047 | − | 0.594940i | −0.113349 | − | 0.993555i | \(-0.536158\pi\) |
−0.917118 | + | 0.398615i | \(0.869491\pi\) | |||||||
\(468\) | −38.4443 | + | 3.64331i | −1.77709 | + | 0.168412i | ||||
\(469\) | 16.5089 | + | 6.71430i | 0.762311 | + | 0.310038i | ||||
\(470\) | −2.58988 | − | 5.66069i | −0.119462 | − | 0.261108i | ||||
\(471\) | −4.62904 | + | 38.3745i | −0.213295 | + | 1.76820i | ||||
\(472\) | 21.0096 | − | 5.14305i | 0.967045 | − | 0.236728i | ||||
\(473\) | −3.31047 | + | 1.91130i | −0.152216 | + | 0.0878817i | ||||
\(474\) | −4.44777 | + | 1.42005i | −0.204293 | + | 0.0652251i | ||||
\(475\) | 9.80275 | 0.449781 | ||||||||
\(476\) | 8.40622 | − | 12.9634i | 0.385298 | − | 0.594175i | ||||
\(477\) | −17.1338 | + | 17.8942i | −0.784504 | + | 0.819319i | ||||
\(478\) | 31.8427 | + | 3.01839i | 1.45645 | + | 0.138058i | ||||
\(479\) | −4.48448 | − | 7.76735i | −0.204901 | − | 0.354899i | 0.745200 | − | 0.666841i | \(-0.232354\pi\) |
−0.950101 | + | 0.311942i | \(0.899021\pi\) | |||||||
\(480\) | −0.934918 | + | 13.5300i | −0.0426730 | + | 0.617555i | ||||
\(481\) | 18.5849 | − | 32.1900i | 0.847399 | − | 1.46774i | ||||
\(482\) | 14.9988 | + | 32.7828i | 0.683176 | + | 1.49321i | ||||
\(483\) | −14.8038 | − | 8.20932i | −0.673596 | − | 0.373537i | ||||
\(484\) | 11.1002 | − | 12.8462i | 0.504554 | − | 0.583916i | ||||
\(485\) | −0.825074 | + | 1.42907i | −0.0374647 | + | 0.0648908i | ||||
\(486\) | −3.75465 | + | 21.7233i | −0.170315 | + | 0.985390i | ||||
\(487\) | 5.02256 | − | 2.89978i | 0.227594 | − | 0.131401i | −0.381868 | − | 0.924217i | \(-0.624719\pi\) |
0.609462 | + | 0.792816i | \(0.291386\pi\) | |||||||
\(488\) | −6.76073 | − | 7.06106i | −0.306044 | − | 0.319639i | ||||
\(489\) | 11.5630 | + | 27.0805i | 0.522896 | + | 1.22462i | ||||
\(490\) | 8.86667 | + | 10.4474i | 0.400555 | + | 0.471965i | ||||
\(491\) | − | 13.5893i | − | 0.613275i | −0.951826 | − | 0.306637i | \(-0.900796\pi\) | ||
0.951826 | − | 0.306637i | \(-0.0992039\pi\) | |||||||
\(492\) | −1.15951 | − | 1.27465i | −0.0522749 | − | 0.0574656i | ||||
\(493\) | −16.8885 | + | 9.75058i | −0.760620 | + | 0.439144i | ||||
\(494\) | −23.5783 | − | 16.7655i | −1.06084 | − | 0.754314i | ||||
\(495\) | −17.6002 | + | 5.12782i | −0.791069 | + | 0.230479i | ||||
\(496\) | −9.94331 | + | 1.45772i | −0.446468 | + | 0.0654535i | ||||
\(497\) | 3.97752 | − | 3.09286i | 0.178416 | − | 0.138734i | ||||
\(498\) | 12.6846 | + | 11.5393i | 0.568409 | + | 0.517088i | ||||
\(499\) | 18.6144 | − | 32.2411i | 0.833294 | − | 1.44331i | −0.0621178 | − | 0.998069i | \(-0.519785\pi\) |
0.895412 | − | 0.445239i | \(-0.146881\pi\) | |||||||
\(500\) | −21.9810 | − | 4.20497i | −0.983021 | − | 0.188052i | ||||
\(501\) | −24.8572 | + | 33.1329i | −1.11054 | + | 1.48027i | ||||
\(502\) | −0.148147 | + | 1.56288i | −0.00661210 | + | 0.0697548i | ||||
\(503\) | 24.5224 | 1.09340 | 0.546699 | − | 0.837329i | \(-0.315884\pi\) | ||||
0.546699 | + | 0.837329i | \(0.315884\pi\) | |||||||
\(504\) | 13.7804 | + | 17.7229i | 0.613828 | + | 0.789440i | ||||
\(505\) | 2.86710 | 0.127584 | ||||||||
\(506\) | 2.17629 | − | 22.9589i | 0.0967480 | − | 1.02065i | ||||
\(507\) | −29.5440 | + | 39.3800i | −1.31209 | + | 1.74893i | ||||
\(508\) | −0.869418 | + | 4.54478i | −0.0385742 | + | 0.201642i | ||||
\(509\) | −21.4381 | + | 37.1319i | −0.950226 | + | 1.64584i | −0.205294 | + | 0.978700i | \(0.565815\pi\) |
−0.744932 | + | 0.667140i | \(0.767518\pi\) | |||||||
\(510\) | −7.32305 | − | 6.66187i | −0.324270 | − | 0.294993i | ||||
\(511\) | −15.8575 | − | 6.44936i | −0.701494 | − | 0.285303i | ||||
\(512\) | 14.9240 | + | 17.0081i | 0.659552 | + | 0.751659i | ||||
\(513\) | −12.7690 | + | 10.4756i | −0.563766 | + | 0.462511i | ||||
\(514\) | −16.0907 | − | 11.4414i | −0.709732 | − | 0.504659i | ||||
\(515\) | −6.64470 | + | 3.83632i | −0.292800 | + | 0.169048i | ||||
\(516\) | 2.21885 | − | 2.01843i | 0.0976795 | − | 0.0888563i | ||||
\(517\) | − | 14.0386i | − | 0.617416i | ||||||
\(518\) | −21.5891 | + | 0.924909i | −0.948571 | + | 0.0406382i | ||||
\(519\) | −5.96415 | − | 13.9681i | −0.261797 | − | 0.613129i | ||||
\(520\) | 17.4262 | + | 18.2004i | 0.764191 | + | 0.798139i | ||||
\(521\) | 1.58214 | − | 0.913450i | 0.0693149 | − | 0.0400190i | −0.464942 | − | 0.885341i | \(-0.653925\pi\) |
0.534257 | + | 0.845322i | \(0.320591\pi\) | |||||||
\(522\) | −5.32352 | − | 27.8314i | −0.233004 | − | 1.21815i | ||||
\(523\) | 12.7145 | − | 22.0222i | 0.555966 | − | 0.962962i | −0.441861 | − | 0.897083i | \(-0.645682\pi\) |
0.997828 | − | 0.0658788i | \(-0.0209851\pi\) | |||||||
\(524\) | −7.18859 | − | 6.21156i | −0.314035 | − | 0.271353i | ||||
\(525\) | −12.1154 | + | 7.27676i | −0.528761 | + | 0.317584i | ||||
\(526\) | −8.33708 | − | 18.2223i | −0.363514 | − | 0.794530i | ||||
\(527\) | 3.66790 | − | 6.35300i | 0.159776 | − | 0.276741i | ||||
\(528\) | −14.6118 | + | 26.8692i | −0.635899 | + | 1.16933i | ||||
\(529\) | 4.67750 | + | 8.10166i | 0.203369 | + | 0.352246i | ||||
\(530\) | 16.0935 | + | 1.52551i | 0.699055 | + | 0.0662639i | ||||
\(531\) | −16.5707 | − | 15.8666i | −0.719107 | − | 0.688551i | ||||
\(532\) | −0.869054 | + | 16.7969i | −0.0376783 | + | 0.728237i | ||||
\(533\) | −3.20148 | −0.138671 | ||||||||
\(534\) | 22.1691 | − | 7.07799i | 0.959352 | − | 0.306294i | ||||
\(535\) | 7.16348 | − | 4.13584i | 0.309704 | − | 0.178808i | ||||
\(536\) | −4.53022 | − | 18.5062i | −0.195676 | − | 0.799345i | ||||
\(537\) | −1.26147 | + | 10.4575i | −0.0544362 | + | 0.451274i | ||||
\(538\) | −10.7205 | − | 23.4317i | −0.462192 | − | 1.01021i | ||||
\(539\) | 8.38092 | + | 29.7441i | 0.360992 | + | 1.28117i | ||||
\(540\) | 12.6375 | − | 6.87170i | 0.543829 | − | 0.295711i | ||||
\(541\) | −16.3531 | − | 9.44148i | −0.703076 | − | 0.405921i | 0.105416 | − | 0.994428i | \(-0.466382\pi\) |
−0.808492 | + | 0.588507i | \(0.799716\pi\) | |||||||
\(542\) | 29.1826 | + | 20.7505i | 1.25350 | + | 0.891309i | ||||
\(543\) | 16.0463 | + | 12.0383i | 0.688611 | + | 0.516615i | ||||
\(544\) | −16.4956 | + | 0.842959i | −0.707243 | + | 0.0361416i | ||||
\(545\) | − | 2.29512i | − | 0.0983119i | ||||||
\(546\) | 41.5863 | + | 3.21822i | 1.77973 | + | 0.137727i | ||||
\(547\) | 13.0624 | 0.558509 | 0.279254 | − | 0.960217i | \(-0.409913\pi\) | ||||
0.279254 | + | 0.960217i | \(0.409913\pi\) | |||||||
\(548\) | −0.634247 | + | 0.220498i | −0.0270937 | + | 0.00941919i | ||||
\(549\) | −2.46565 | + | 10.0714i | −0.105231 | + | 0.429835i | ||||
\(550\) | −15.6917 | − | 11.1577i | −0.669097 | − | 0.475765i | ||||
\(551\) | 10.6145 | − | 18.3849i | 0.452195 | − | 0.783224i | ||||
\(552\) | 2.16683 | + | 17.9662i | 0.0922265 | + | 0.764693i | ||||
\(553\) | 4.99558 | − | 0.690356i | 0.212434 | − | 0.0293569i | ||||
\(554\) | 24.1782 | − | 11.0620i | 1.02723 | − | 0.469981i | ||||
\(555\) | −1.65819 | + | 13.7464i | −0.0703864 | + | 0.583500i | ||||
\(556\) | −18.3750 | − | 3.51514i | −0.779274 | − | 0.149075i | ||||
\(557\) | −15.9928 | − | 27.7003i | −0.677635 | − | 1.17370i | −0.975691 | − | 0.219151i | \(-0.929671\pi\) |
0.298056 | − | 0.954549i | \(-0.403662\pi\) | |||||||
\(558\) | 6.96897 | + | 8.06549i | 0.295020 | + | 0.341439i | ||||
\(559\) | − | 5.57299i | − | 0.235712i | ||||||
\(560\) | 3.49217 | − | 14.2265i | 0.147571 | − | 0.601181i | ||||
\(561\) | −8.76714 | − | 20.5327i | −0.370149 | − | 0.866890i | ||||
\(562\) | −3.40193 | + | 35.8889i | −0.143502 | + | 1.51388i | ||||
\(563\) | 31.2546 | − | 18.0449i | 1.31723 | − | 0.760501i | 0.333944 | − | 0.942593i | \(-0.391620\pi\) |
0.983281 | + | 0.182092i | \(0.0582870\pi\) | |||||||
\(564\) | 2.34521 | + | 10.7634i | 0.0987512 | + | 0.453221i | ||||
\(565\) | 19.7247 | + | 11.3881i | 0.829825 | + | 0.479100i | ||||
\(566\) | −7.08224 | − | 15.4796i | −0.297689 | − | 0.650656i | ||||
\(567\) | 8.00527 | − | 22.4258i | 0.336190 | − | 0.941794i | ||||
\(568\) | −5.17133 | − | 1.50679i | −0.216984 | − | 0.0632236i | ||||
\(569\) | −23.5336 | − | 13.5871i | −0.986579 | − | 0.569601i | −0.0823288 | − | 0.996605i | \(-0.526236\pi\) |
−0.904250 | + | 0.427004i | \(0.859569\pi\) | |||||||
\(570\) | 10.5300 | + | 2.29459i | 0.441052 | + | 0.0961097i | ||||
\(571\) | −7.45448 | − | 12.9115i | −0.311960 | − | 0.540331i | 0.666826 | − | 0.745213i | \(-0.267652\pi\) |
−0.978787 | + | 0.204882i | \(0.934319\pi\) | |||||||
\(572\) | 18.6601 | + | 53.6745i | 0.780218 | + | 2.24424i | ||||
\(573\) | 1.02982 | + | 2.41185i | 0.0430215 | + | 0.100756i | ||||
\(574\) | 0.998738 | + | 1.57054i | 0.0416865 | + | 0.0655530i | ||||
\(575\) | −11.3921 | −0.475084 | ||||||||
\(576\) | 6.71429 | − | 23.0417i | 0.279762 | − | 0.960069i | ||||
\(577\) | −19.1659 | − | 33.1963i | −0.797886 | − | 1.38198i | −0.920990 | − | 0.389585i | \(-0.872618\pi\) |
0.123104 | − | 0.992394i | \(-0.460715\pi\) | |||||||
\(578\) | −6.94511 | + | 9.76733i | −0.288878 | + | 0.406267i | ||||
\(579\) | −27.4379 | − | 3.30978i | −1.14028 | − | 0.137550i | ||||
\(580\) | −12.0887 | + | 13.9902i | −0.501958 | + | 0.580912i | ||||
\(581\) | −11.3696 | − | 14.6217i | −0.471691 | − | 0.606611i | ||||
\(582\) | 1.96503 | − | 2.16006i | 0.0814532 | − | 0.0895374i | ||||
\(583\) | 31.5722 | + | 18.2282i | 1.30759 | + | 0.754935i | ||||
\(584\) | 4.35146 | + | 17.7759i | 0.180065 | + | 0.735573i | ||||
\(585\) | 6.35539 | − | 25.9596i | 0.262763 | − | 1.07330i | ||||
\(586\) | 5.49735 | + | 0.521097i | 0.227093 | + | 0.0215263i | ||||
\(587\) | 0.964880i | 0.0398249i | 0.999802 | + | 0.0199124i | \(0.00633874\pi\) | ||||
−0.999802 | + | 0.0199124i | \(0.993661\pi\) | |||||||
\(588\) | −11.3946 | − | 21.4048i | −0.469904 | − | 0.882718i | ||||
\(589\) | 7.98581i | 0.329050i | ||||||||
\(590\) | −1.41268 | + | 14.9031i | −0.0581591 | + | 0.613553i | ||||
\(591\) | −1.00099 | + | 1.33425i | −0.0411752 | + | 0.0548837i | ||||
\(592\) | 14.3302 | + | 18.1190i | 0.588967 | + | 0.744684i | ||||
\(593\) | −14.9519 | − | 8.63251i | −0.614003 | − | 0.354495i | 0.160528 | − | 0.987031i | \(-0.448680\pi\) |
−0.774530 | + | 0.632537i | \(0.782014\pi\) | |||||||
\(594\) | 32.3636 | − | 2.23491i | 1.32789 | − | 0.0916994i | ||||
\(595\) | 6.56390 | + | 8.44141i | 0.269094 | + | 0.346064i | ||||
\(596\) | −2.70852 | + | 3.13455i | −0.110945 | + | 0.128396i | ||||
\(597\) | −0.413395 | + | 3.42702i | −0.0169191 | + | 0.140259i | ||||
\(598\) | 27.4012 | + | 19.4837i | 1.12052 | + | 0.796749i | ||||
\(599\) | 6.22127 | + | 10.7756i | 0.254194 | + | 0.440277i | 0.964676 | − | 0.263438i | \(-0.0848565\pi\) |
−0.710482 | + | 0.703715i | \(0.751523\pi\) | |||||||
\(600\) | 13.8948 | + | 5.93323i | 0.567253 | + | 0.242223i | ||||
\(601\) | −27.7052 | −1.13012 | −0.565059 | − | 0.825051i | \(-0.691147\pi\) | ||||
−0.565059 | + | 0.825051i | \(0.691147\pi\) | |||||||
\(602\) | −2.73392 | + | 1.73856i | −0.111426 | + | 0.0708583i | ||||
\(603\) | −13.9760 | + | 14.5962i | −0.569146 | + | 0.594403i | ||||
\(604\) | 44.2073 | − | 15.3688i | 1.79877 | − | 0.625348i | ||||
\(605\) | 5.87504 | + | 10.1759i | 0.238854 | + | 0.413708i | ||||
\(606\) | −4.95735 | − | 1.08026i | −0.201378 | − | 0.0438824i | ||||
\(607\) | 5.43950 | + | 3.14050i | 0.220783 | + | 0.127469i | 0.606313 | − | 0.795226i | \(-0.292648\pi\) |
−0.385530 | + | 0.922695i | \(0.625981\pi\) | |||||||
\(608\) | 15.0926 | − | 9.77331i | 0.612085 | − | 0.396360i | ||||
\(609\) | 0.528717 | + | 30.6017i | 0.0214247 | + | 1.24004i | ||||
\(610\) | 6.15241 | − | 2.81486i | 0.249104 | − | 0.113970i | ||||
\(611\) | 17.7249 | + | 10.2335i | 0.717072 | + | 0.414002i | ||||
\(612\) | 10.1519 | + | 14.2778i | 0.410365 | + | 0.577147i | ||||
\(613\) | −17.0190 | + | 9.82590i | −0.687389 | + | 0.396864i | −0.802633 | − | 0.596473i | \(-0.796568\pi\) |
0.115244 | + | 0.993337i | \(0.463235\pi\) | |||||||
\(614\) | −15.5347 | − | 1.47255i | −0.626930 | − | 0.0594271i | ||||
\(615\) | 1.09678 | − | 0.468307i | 0.0442263 | − | 0.0188840i | ||||
\(616\) | 20.5097 | − | 25.8984i | 0.826358 | − | 1.04348i | ||||
\(617\) | 32.2579i | 1.29865i | 0.760509 | + | 0.649327i | \(0.224949\pi\) | ||||
−0.760509 | + | 0.649327i | \(0.775051\pi\) | |||||||
\(618\) | 12.9344 | − | 4.12960i | 0.520299 | − | 0.166117i | ||||
\(619\) | 13.3846 | + | 23.1828i | 0.537973 | + | 0.931797i | 0.999013 | + | 0.0444173i | \(0.0141431\pi\) |
−0.461040 | + | 0.887379i | \(0.652524\pi\) | |||||||
\(620\) | 1.30685 | − | 6.83139i | 0.0524842 | − | 0.274355i | ||||
\(621\) | 14.8393 | − | 12.1741i | 0.595482 | − | 0.488531i | ||||
\(622\) | −18.4224 | − | 40.2657i | −0.738671 | − | 1.61451i | ||||
\(623\) | −24.8996 | + | 3.44096i | −0.997581 | + | 0.137859i | ||||
\(624\) | −23.2733 | − | 38.0351i | −0.931678 | − | 1.52262i | ||||
\(625\) | 0.0343418 | − | 0.0594818i | 0.00137367 | − | 0.00237927i | ||||
\(626\) | 10.7041 | − | 15.0538i | 0.427820 | − | 0.601670i | ||||
\(627\) | 19.4413 | + | 14.5854i | 0.776411 | + | 0.582485i | ||||
\(628\) | −42.1573 | + | 14.6561i | −1.68226 | + | 0.584843i | ||||
\(629\) | −16.8627 | −0.672361 | ||||||||
\(630\) | −14.7175 | + | 4.98066i | −0.586361 | + | 0.198434i | ||||
\(631\) | − | 29.4363i | − | 1.17184i | −0.810369 | − | 0.585920i | \(-0.800733\pi\) | ||
0.810369 | − | 0.585920i | \(-0.199267\pi\) | |||||||
\(632\) | −3.72848 | − | 3.89411i | −0.148311 | − | 0.154899i | ||||
\(633\) | 22.3027 | − | 29.7280i | 0.886455 | − | 1.18158i | ||||
\(634\) | −20.0481 | + | 28.1949i | −0.796213 | + | 1.11976i | ||||
\(635\) | −2.77341 | − | 1.60123i | −0.110059 | − | 0.0635428i | ||||
\(636\) | −27.2516 | − | 8.70132i | −1.08059 | − | 0.345030i | ||||
\(637\) | −43.6637 | − | 11.1004i | −1.73002 | − | 0.439815i | ||||
\(638\) | −37.9173 | + | 17.3479i | −1.50116 | + | 0.686811i | ||||
\(639\) | 1.59808 | + | 5.48506i | 0.0632189 | + | 0.216986i | ||||
\(640\) | −14.5102 | + | 5.89066i | −0.573565 | + | 0.232849i | ||||
\(641\) | 34.2214 | − | 19.7578i | 1.35167 | − | 0.780384i | 0.363183 | − | 0.931718i | \(-0.381690\pi\) |
0.988483 | + | 0.151334i | \(0.0483568\pi\) | |||||||
\(642\) | −13.9443 | + | 4.45202i | −0.550337 | + | 0.175707i | ||||
\(643\) | 17.3857 | 0.685626 | 0.342813 | − | 0.939404i | \(-0.388620\pi\) | ||||
0.342813 | + | 0.939404i | \(0.388620\pi\) | |||||||
\(644\) | 1.00996 | − | 19.5203i | 0.0397979 | − | 0.769206i | ||||
\(645\) | 0.815208 | + | 1.90922i | 0.0320988 | + | 0.0751754i | ||||
\(646\) | −1.23859 | + | 13.0666i | −0.0487316 | + | 0.514098i | ||||
\(647\) | 23.6414 | + | 40.9480i | 0.929438 | + | 1.60983i | 0.784264 | + | 0.620427i | \(0.213041\pi\) |
0.145174 | + | 0.989406i | \(0.453626\pi\) | |||||||
\(648\) | −24.4398 | + | 7.11999i | −0.960088 | + | 0.279700i | ||||
\(649\) | −16.8800 | + | 29.2370i | −0.662598 | + | 1.14765i | ||||
\(650\) | 25.5260 | − | 11.6787i | 1.00121 | − | 0.458075i | ||||
\(651\) | −5.92802 | − | 9.86985i | −0.232337 | − | 0.386830i | ||||
\(652\) | −22.2305 | + | 25.7271i | −0.870612 | + | 1.00755i | ||||
\(653\) | 14.1939 | − | 24.5845i | 0.555449 | − | 0.962067i | −0.442419 | − | 0.896808i | \(-0.645880\pi\) |
0.997868 | − | 0.0652581i | \(-0.0207871\pi\) | |||||||
\(654\) | −0.864746 | + | 3.96836i | −0.0338143 | + | 0.155175i | ||||
\(655\) | 5.69432 | − | 3.28762i | 0.222495 | − | 0.128458i | ||||
\(656\) | 0.734387 | − | 1.84922i | 0.0286730 | − | 0.0721998i | ||||
\(657\) | 13.4245 | − | 14.0202i | 0.523739 | − | 0.546981i | ||||
\(658\) | −0.509285 | − | 11.8877i | −0.0198540 | − | 0.463429i | ||||
\(659\) | − | 3.58703i | − | 0.139731i | −0.997556 | − | 0.0698654i | \(-0.977743\pi\) | ||
0.997556 | − | 0.0698654i | \(-0.0222570\pi\) | |||||||
\(660\) | −14.2441 | − | 15.6585i | −0.554449 | − | 0.609505i | ||||
\(661\) | −1.09189 | + | 0.630403i | −0.0424696 | + | 0.0245198i | −0.521084 | − | 0.853505i | \(-0.674472\pi\) |
0.478615 | + | 0.878025i | \(0.341139\pi\) | |||||||
\(662\) | −11.9039 | + | 16.7412i | −0.462659 | + | 0.650665i | ||||
\(663\) | 32.3150 | + | 3.89810i | 1.25501 | + | 0.151390i | ||||
\(664\) | −5.53910 | + | 19.0103i | −0.214959 | + | 0.737741i | ||||
\(665\) | −10.7829 | − | 4.38548i | −0.418142 | − | 0.170062i | ||||
\(666\) | 8.04640 | − | 23.1433i | 0.311792 | − | 0.896785i | ||||
\(667\) | −12.3355 | + | 21.3658i | −0.477634 | + | 0.827286i | ||||
\(668\) | −46.9766 | − | 8.98663i | −1.81758 | − | 0.347703i | ||||
\(669\) | 16.8944 | + | 12.6747i | 0.653176 | + | 0.490030i | ||||
\(670\) | 13.1273 | + | 1.24435i | 0.507154 | + | 0.0480734i | ||||
\(671\) | 15.2581 | 0.589031 | ||||||||
\(672\) | −11.3983 | + | 23.2826i | −0.439701 | + | 0.898144i | ||||
\(673\) | 34.9662 | 1.34785 | 0.673925 | − | 0.738800i | \(-0.264607\pi\) | ||||
0.673925 | + | 0.738800i | \(0.264607\pi\) | |||||||
\(674\) | −26.4620 | − | 2.50835i | −1.01928 | − | 0.0966182i | ||||
\(675\) | −2.60773 | − | 15.8115i | −0.100372 | − | 0.608583i | ||||
\(676\) | −55.8339 | − | 10.6810i | −2.14746 | − | 0.410809i | ||||
\(677\) | 2.84885 | − | 4.93435i | 0.109490 | − | 0.189642i | −0.806074 | − | 0.591815i | \(-0.798412\pi\) |
0.915564 | + | 0.402173i | \(0.131745\pi\) | |||||||
\(678\) | −29.8142 | − | 27.1223i | −1.14501 | − | 1.04163i | ||||
\(679\) | −2.48994 | + | 1.93614i | −0.0955551 | + | 0.0743021i | ||||
\(680\) | 3.19783 | − | 10.9750i | 0.122631 | − | 0.420872i | ||||
\(681\) | 3.25637 | − | 26.9952i | 0.124784 | − | 1.03446i | ||||
\(682\) | 9.08960 | − | 12.7833i | 0.348059 | − | 0.489496i | ||||
\(683\) | −19.9548 | + | 11.5209i | −0.763551 | + | 0.440836i | −0.830569 | − | 0.556915i | \(-0.811985\pi\) |
0.0670183 | + | 0.997752i | \(0.478651\pi\) | |||||||
\(684\) | −17.3423 | − | 7.93490i | −0.663098 | − | 0.303398i | ||||
\(685\) | − | 0.464729i | − | 0.0177564i | ||||||
\(686\) | 8.17589 | + | 24.8828i | 0.312157 | + | 0.950031i | ||||
\(687\) | 19.2937 | − | 8.23812i | 0.736100 | − | 0.314304i | ||||
\(688\) | 3.21904 | + | 1.27839i | 0.122725 | + | 0.0487380i | ||||
\(689\) | −46.0293 | + | 26.5750i | −1.75358 | + | 1.01243i | ||||
\(690\) | −12.2372 | − | 2.66662i | −0.465864 | − | 0.101517i | ||||
\(691\) | −18.0614 | + | 31.2833i | −0.687090 | + | 1.19007i | 0.285686 | + | 0.958323i | \(0.407779\pi\) |
−0.972775 | + | 0.231751i | \(0.925555\pi\) | |||||||
\(692\) | 11.4664 | − | 13.2700i | 0.435887 | − | 0.504448i | ||||
\(693\) | −34.8550 | − | 3.59479i | −1.32403 | − | 0.136555i | ||||
\(694\) | 30.7996 | − | 14.0915i | 1.16914 | − | 0.534904i | ||||
\(695\) | 6.47392 | − | 11.2132i | 0.245570 | − | 0.425339i | ||||
\(696\) | 26.1732 | − | 19.6350i | 0.992092 | − | 0.744261i | ||||
\(697\) | 0.726203 | + | 1.25782i | 0.0275069 | + | 0.0476434i | ||||
\(698\) | −0.479672 | + | 5.06033i | −0.0181558 | + | 0.191536i | ||||
\(699\) | 9.30483 | − | 3.97302i | 0.351941 | − | 0.150274i | ||||
\(700\) | −13.6923 | − | 8.87890i | −0.517520 | − | 0.335591i | ||||
\(701\) | −29.8672 | −1.12807 | −0.564035 | − | 0.825751i | \(-0.690752\pi\) | ||||
−0.564035 | + | 0.825751i | \(0.690752\pi\) | |||||||
\(702\) | −20.7697 | + | 42.4908i | −0.783904 | + | 1.60371i | ||||
\(703\) | 15.8975 | − | 9.17844i | 0.599586 | − | 0.346171i | ||||
\(704\) | −35.2835 | − | 1.53406i | −1.32980 | − | 0.0578169i | ||||
\(705\) | −7.56919 | − | 0.913056i | −0.285072 | − | 0.0343877i | ||||
\(706\) | −33.3525 | + | 15.2595i | −1.25524 | + | 0.574298i | ||||
\(707\) | 5.07641 | + | 2.06461i | 0.190918 | + | 0.0776478i | ||||
\(708\) | 8.05775 | − | 25.2360i | 0.302829 | − | 0.948426i | ||||
\(709\) | 42.5302 | + | 24.5548i | 1.59725 | + | 0.922175i | 0.992013 | + | 0.126132i | \(0.0402564\pi\) |
0.605240 | + | 0.796043i | \(0.293077\pi\) | |||||||
\(710\) | 2.16028 | − | 3.03814i | 0.0810740 | − | 0.114019i | ||||
\(711\) | −1.35978 | + | 5.55426i | −0.0509959 | + | 0.208301i | ||||
\(712\) | 18.5839 | + | 19.4095i | 0.696462 | + | 0.727401i | ||||
\(713\) | − | 9.28059i | − | 0.347561i | ||||||
\(714\) | −8.16877 | − | 17.0687i | −0.305708 | − | 0.638781i | ||||
\(715\) | −39.3287 | −1.47081 | ||||||||
\(716\) | −11.4883 | + | 3.99396i | −0.429340 | + | 0.149261i | ||||
\(717\) | 23.5090 | − | 31.3358i | 0.877958 | − | 1.17026i | ||||
\(718\) | 23.2347 | − | 32.6763i | 0.867109 | − | 1.21947i | ||||
\(719\) | 8.31324 | − | 14.3990i | 0.310032 | − | 0.536991i | −0.668337 | − | 0.743858i | \(-0.732994\pi\) |
0.978369 | + | 0.206868i | \(0.0663270\pi\) | |||||||
\(720\) | 13.5368 | + | 9.62583i | 0.504486 | + | 0.358733i | ||||
\(721\) | −14.5275 | + | 2.00760i | −0.541032 | + | 0.0747670i | ||||
\(722\) | 5.23464 | + | 11.4413i | 0.194813 | + | 0.425801i | ||||
\(723\) | 43.8355 | + | 5.28778i | 1.63026 | + | 0.196655i | ||||
\(724\) | −4.35222 | + | 22.7507i | −0.161749 | + | 0.845525i | ||||
\(725\) | 10.2989 | + | 17.8381i | 0.382490 | + | 0.662492i | ||||
\(726\) | −6.32418 | − | 19.8081i | −0.234712 | − | 0.735148i | ||||
\(727\) | − | 6.37182i | − | 0.236318i | −0.992995 | − | 0.118159i | \(-0.962301\pi\) | ||
0.992995 | − | 0.118159i | \(-0.0376992\pi\) | |||||||
\(728\) | 17.7483 | + | 44.7739i | 0.657795 | + | 1.65943i | ||||
\(729\) | 20.2936 | + | 17.8092i | 0.751616 | + | 0.659601i | ||||
\(730\) | −12.6093 | − | 1.19525i | −0.466693 | − | 0.0442381i | ||||
\(731\) | −2.18956 | + | 1.26414i | −0.0809837 | + | 0.0467560i | ||||
\(732\) | −11.6984 | + | 2.54893i | −0.432384 | + | 0.0942111i | ||||
\(733\) | −33.2648 | − | 19.2054i | −1.22866 | − | 0.709369i | −0.261912 | − | 0.965092i | \(-0.584353\pi\) |
−0.966750 | + | 0.255723i | \(0.917686\pi\) | |||||||
\(734\) | 4.61819 | − | 2.11292i | 0.170461 | − | 0.0779893i | ||||
\(735\) | 16.5822 | − | 2.58422i | 0.611645 | − | 0.0953204i | ||||
\(736\) | −17.5396 | + | 11.3579i | −0.646519 | + | 0.418658i | ||||
\(737\) | 25.7533 | + | 14.8687i | 0.948634 | + | 0.547694i | ||||
\(738\) | −2.07282 | + | 0.396485i | −0.0763017 | + | 0.0145948i | ||||
\(739\) | 0.546366 | + | 0.946333i | 0.0200984 | + | 0.0348114i | 0.875900 | − | 0.482493i | \(-0.160269\pi\) |
−0.855801 | + | 0.517305i | \(0.826935\pi\) | |||||||
\(740\) | −15.1014 | + | 5.25005i | −0.555139 | + | 0.192996i | ||||
\(741\) | −32.5871 | + | 13.9142i | −1.19712 | + | 0.511151i | ||||
\(742\) | 27.3962 | + | 14.2900i | 1.00574 | + | 0.524603i | ||||
\(743\) | 26.5914 | 0.975545 | 0.487772 | − | 0.872971i | \(-0.337810\pi\) | ||||
0.487772 | + | 0.872971i | \(0.337810\pi\) | |||||||
\(744\) | −4.83351 | + | 11.3194i | −0.177205 | + | 0.414989i | ||||
\(745\) | −1.43355 | − | 2.48298i | −0.0525212 | − | 0.0909693i | ||||
\(746\) | −17.8785 | − | 12.7126i | −0.654578 | − | 0.465441i | ||||
\(747\) | 20.1635 | − | 5.87467i | 0.737746 | − | 0.214943i | ||||
\(748\) | 16.8553 | − | 19.5065i | 0.616291 | − | 0.713228i | ||||
\(749\) | 15.6617 | − | 2.16435i | 0.572267 | − | 0.0790835i | ||||
\(750\) | −18.4444 | + | 20.2750i | −0.673494 | + | 0.740338i | ||||
\(751\) | 24.4781 | + | 14.1324i | 0.893217 | + | 0.515699i | 0.874993 | − | 0.484135i | \(-0.160866\pi\) |
0.0182235 | + | 0.999834i | \(0.494199\pi\) | |||||||
\(752\) | −9.97689 | + | 7.89068i | −0.363820 | + | 0.287743i | ||||
\(753\) | 1.53800 | + | 1.15385i | 0.0560479 | + | 0.0420487i | ||||
\(754\) | 5.73668 | − | 60.5195i | 0.208918 | − | 2.20399i | ||||
\(755\) | 32.3918i | 1.17886i | ||||||||
\(756\) | 27.3239 | − | 3.06656i | 0.993761 | − | 0.111530i | ||||
\(757\) | 26.8780i | 0.976898i | 0.872592 | + | 0.488449i | \(0.162437\pi\) | ||||
−0.872592 | + | 0.488449i | \(0.837563\pi\) | |||||||
\(758\) | −20.5340 | − | 1.94643i | −0.745828 | − | 0.0706975i | ||||
\(759\) | −22.5934 | − | 16.9502i | −0.820090 | − | 0.615254i | ||||
\(760\) | 2.95894 | + | 12.0874i | 0.107332 | + | 0.438456i | ||||
\(761\) | 46.8523 | + | 27.0502i | 1.69840 | + | 0.980569i | 0.947285 | + | 0.320393i | \(0.103815\pi\) |
0.751111 | + | 0.660176i | \(0.229518\pi\) | |||||||
\(762\) | 4.19204 | + | 3.81355i | 0.151862 | + | 0.138150i | ||||
\(763\) | 1.65273 | − | 4.06367i | 0.0598327 | − | 0.147115i | ||||
\(764\) | −1.97989 | + | 2.29131i | −0.0716299 | + | 0.0828967i | ||||
\(765\) | −11.6408 | + | 3.39156i | −0.420875 | + | 0.122622i | ||||
\(766\) | 8.97142 | − | 12.6170i | 0.324150 | − | 0.455872i | ||||
\(767\) | −24.6095 | − | 42.6248i | −0.888596 | − | 1.53909i | ||||
\(768\) | 27.3082 | − | 4.71812i | 0.985401 | − | 0.170251i | ||||
\(769\) | −9.44304 | −0.340525 | −0.170262 | − | 0.985399i | \(-0.554462\pi\) | ||||
−0.170262 | + | 0.985399i | \(0.554462\pi\) | |||||||
\(770\) | 12.2690 | + | 19.2933i | 0.442145 | + | 0.695283i | ||||
\(771\) | −22.2387 | + | 9.49560i | −0.800907 | + | 0.341976i | ||||
\(772\) | −10.4792 | − | 30.1426i | −0.377154 | − | 1.08486i | ||||
\(773\) | −18.7073 | − | 32.4020i | −0.672856 | − | 1.16542i | −0.977091 | − | 0.212823i | \(-0.931734\pi\) |
0.304235 | − | 0.952597i | \(-0.401599\pi\) | |||||||
\(774\) | −0.690183 | − | 3.60828i | −0.0248081 | − | 0.129697i | ||||
\(775\) | −6.71022 | − | 3.87415i | −0.241038 | − | 0.139164i | ||||
\(776\) | 3.23727 | + | 0.943256i | 0.116211 | + | 0.0338609i | ||||
\(777\) | −12.8348 | + | 23.1449i | −0.460445 | + | 0.830318i | ||||
\(778\) | 11.2007 | + | 24.4813i | 0.401565 | + | 0.877699i | ||||
\(779\) | −1.36927 | − | 0.790550i | −0.0490593 | − | 0.0283244i | ||||
\(780\) | 30.1534 | − | 6.57004i | 1.07966 | − | 0.235245i | ||||
\(781\) | 7.28073 | − | 4.20353i | 0.260525 | − | 0.150414i | ||||
\(782\) | 1.43941 | − | 15.1851i | 0.0514731 | − | 0.543019i | ||||
\(783\) | −32.4779 | − | 12.2301i | −1.16066 | − | 0.437068i | ||||
\(784\) | 16.4278 | − | 22.6744i | 0.586706 | − | 0.809800i | ||||
\(785\) | − | 30.8897i | − | 1.10250i | ||||||
\(786\) | −11.0844 | + | 3.53895i | −0.395369 | + | 0.126230i | ||||
\(787\) | 6.80641 | + | 11.7890i | 0.242622 | + | 0.420234i | 0.961460 | − | 0.274943i | \(-0.0886591\pi\) |
−0.718838 | + | 0.695178i | \(0.755326\pi\) | |||||||
\(788\) | −1.89173 | − | 0.361888i | −0.0673900 | − | 0.0128917i | ||||
\(789\) | −24.3659 | − | 2.93921i | −0.867451 | − | 0.104639i | ||||
\(790\) | 3.39300 | − | 1.55237i | 0.120717 | − | 0.0552307i | ||||
\(791\) | 26.7235 | + | 34.3673i | 0.950177 | + | 1.22196i | ||||
\(792\) | 18.7289 | + | 32.4410i | 0.665503 | + | 1.15274i | ||||
\(793\) | −11.1224 | + | 19.2646i | −0.394968 | + | 0.684105i | ||||
\(794\) | 8.64587 | + | 6.14769i | 0.306830 | + | 0.218173i | ||||
\(795\) | 11.8815 | − | 15.8373i | 0.421395 | − | 0.561690i | ||||
\(796\) | −3.76485 | + | 1.30886i | −0.133441 | + | 0.0463913i | ||||
\(797\) | 45.9884 | 1.62899 | 0.814496 | − | 0.580169i | \(-0.197013\pi\) | ||||
0.814496 | + | 0.580169i | \(0.197013\pi\) | |||||||
\(798\) | 16.9918 | + | 11.6454i | 0.601501 | + | 0.412244i | ||||
\(799\) | − | 9.28517i | − | 0.328486i | ||||||
\(800\) | 0.890358 | + | 17.4231i | 0.0314789 | + | 0.616001i | ||||
\(801\) | 6.77760 | − | 27.6842i | 0.239475 | − | 0.978174i | ||||
\(802\) | 32.4100 | + | 23.0453i | 1.14444 | + | 0.813757i | ||||
\(803\) | −24.7370 | − | 14.2819i | −0.872951 | − | 0.503999i | ||||
\(804\) | −22.2289 | − | 7.09762i | −0.783954 | − | 0.250314i | ||||
\(805\) | 12.5312 | + | 5.09652i | 0.441666 | + | 0.179629i | ||||
\(806\) | 9.51404 | + | 20.7948i | 0.335118 | + | 0.732464i | ||||
\(807\) | −31.3316 | − | 3.77947i | −1.10293 | − | 0.133044i | ||||
\(808\) | −1.39302 | − | 5.69056i | −0.0490063 | − | 0.200193i | ||||
\(809\) | 16.1190 | − | 9.30630i | 0.566713 | − | 0.327192i | −0.189122 | − | 0.981954i | \(-0.560564\pi\) |
0.755836 | + | 0.654762i | \(0.227231\pi\) | |||||||
\(810\) | 0.899897 | − | 17.5948i | 0.0316192 | − | 0.618220i | ||||
\(811\) | 33.9178 | 1.19101 | 0.595507 | − | 0.803350i | \(-0.296951\pi\) | ||||
0.595507 | + | 0.803350i | \(0.296951\pi\) | |||||||
\(812\) | −31.4785 | + | 16.0655i | −1.10468 | + | 0.563790i | ||||
\(813\) | 40.3328 | − | 17.2215i | 1.41453 | − | 0.603984i | ||||
\(814\) | −35.8950 | − | 3.40251i | −1.25812 | − | 0.119258i | ||||
\(815\) | −11.7660 | − | 20.3793i | −0.412145 | − | 0.713856i | ||||
\(816\) | −9.66433 | + | 17.7714i | −0.338319 | + | 0.622124i | ||||
\(817\) | 1.37615 | − | 2.38357i | 0.0481455 | − | 0.0833904i | ||||
\(818\) | 7.74045 | + | 16.9182i | 0.270638 | + | 0.591533i | ||||
\(819\) | 29.9464 | − | 41.3869i | 1.04641 | − | 1.44618i | ||||
\(820\) | 1.04196 | + | 0.900345i | 0.0363869 | + | 0.0314414i | ||||
\(821\) | −14.0972 | + | 24.4171i | −0.491996 | + | 0.852162i | −0.999958 | − | 0.00921774i | \(-0.997066\pi\) |
0.507962 | + | 0.861380i | \(0.330399\pi\) | |||||||
\(822\) | −0.175099 | + | 0.803537i | −0.00610728 | + | 0.0280266i | ||||
\(823\) | −16.0158 | + | 9.24672i | −0.558275 | + | 0.322320i | −0.752453 | − | 0.658646i | \(-0.771129\pi\) |
0.194178 | + | 0.980966i | \(0.437796\pi\) | |||||||
\(824\) | 10.8427 | + | 11.3243i | 0.377722 | + | 0.394502i | ||||
\(825\) | −21.6872 | + | 9.26012i | −0.755052 | + | 0.322396i | ||||
\(826\) | −13.2331 | + | 25.3699i | −0.460439 | + | 0.882731i | ||||
\(827\) | − | 14.5655i | − | 0.506491i | −0.967402 | − | 0.253245i | \(-0.918502\pi\) | ||
0.967402 | − | 0.253245i | \(-0.0814980\pi\) | |||||||
\(828\) | 20.1540 | + | 9.22142i | 0.700402 | + | 0.320467i | ||||
\(829\) | 17.0346 | − | 9.83492i | 0.591635 | − | 0.341581i | −0.174108 | − | 0.984726i | \(-0.555704\pi\) |
0.765744 | + | 0.643146i | \(0.222371\pi\) | |||||||
\(830\) | −11.1685 | − | 7.94138i | −0.387663 | − | 0.275649i | ||||
\(831\) | 3.89989 | − | 32.3299i | 0.135286 | − | 1.12151i | ||||
\(832\) | 27.6569 | − | 43.4302i | 0.958831 | − | 1.50567i | ||||
\(833\) | 5.54317 | + | 19.6729i | 0.192060 | + | 0.681624i | ||||
\(834\) | −15.4186 | + | 16.9488i | −0.533901 | + | 0.586891i | ||||
\(835\) | 16.5509 | − | 28.6670i | 0.572767 | − | 0.992062i | ||||
\(836\) | −5.27306 | + | 27.5644i | −0.182373 | + | 0.953333i | ||||
\(837\) | 12.8808 | − | 2.12439i | 0.445226 | − | 0.0734295i | ||||
\(838\) | −0.590171 | + | 6.22605i | −0.0203871 | + | 0.215075i | ||||
\(839\) | −26.2321 | −0.905631 | −0.452816 | − | 0.891604i | \(-0.649580\pi\) | ||||
−0.452816 | + | 0.891604i | \(0.649580\pi\) | |||||||
\(840\) | −12.6297 | − | 12.7426i | −0.435767 | − | 0.439662i | ||||
\(841\) | 15.6069 | 0.538171 | ||||||||
\(842\) | 2.96290 | − | 31.2573i | 0.102108 | − | 1.07720i | ||||
\(843\) | 35.3175 | + | 26.4962i | 1.21640 | + | 0.912577i | ||||
\(844\) | 42.1490 | + | 8.06311i | 1.45083 | + | 0.277544i | ||||
\(845\) | 19.6715 | − | 34.0721i | 0.676721 | − | 1.17212i | ||||
\(846\) | 12.7435 | + | 4.43061i | 0.438129 | + | 0.152328i | ||||
\(847\) | 3.07449 | + | 22.2478i | 0.105641 | + | 0.764443i | ||||
\(848\) | −4.79144 | − | 32.6832i | −0.164539 | − | 1.12234i | ||||
\(849\) | −20.6986 | − | 2.49682i | −0.710373 | − | 0.0856908i | ||||
\(850\) | −10.3786 | − | 7.37973i | −0.355982 | − | 0.253123i | ||||
\(851\) | −18.4751 | + | 10.6666i | −0.633317 | + | 0.365646i | ||||
\(852\) | −4.87993 | + | 4.43913i | −0.167184 | + | 0.152082i | ||||
\(853\) | 21.5548i | 0.738022i | 0.929425 | + | 0.369011i | \(0.120304\pi\) | ||||
−0.929425 | + | 0.369011i | \(0.879696\pi\) | |||||||
\(854\) | 12.9203 | − | 0.553525i | 0.442124 | − | 0.0189412i | ||||
\(855\) | 9.12847 | − | 9.53357i | 0.312187 | − | 0.326041i | ||||
\(856\) | −11.6892 | − | 12.2085i | −0.399529 | − | 0.417277i | ||||
\(857\) | 15.7399 | − | 9.08742i | 0.537664 | − | 0.310420i | −0.206468 | − | 0.978453i | \(-0.566197\pi\) |
0.744132 | + | 0.668033i | \(0.232864\pi\) | |||||||
\(858\) | 68.0011 | + | 14.8181i | 2.32152 | + | 0.505883i | ||||
\(859\) | 3.84011 | − | 6.65127i | 0.131023 | − | 0.226938i | −0.793048 | − | 0.609159i | \(-0.791507\pi\) |
0.924071 | + | 0.382220i | \(0.124840\pi\) | |||||||
\(860\) | −1.56728 | + | 1.81380i | −0.0534438 | + | 0.0618501i | ||||
\(861\) | 2.27915 | − | 0.0393778i | 0.0776734 | − | 0.00134199i | ||||
\(862\) | 10.3173 | + | 22.5504i | 0.351407 | + | 0.768068i | ||||
\(863\) | −16.7613 | + | 29.0314i | −0.570562 | + | 0.988242i | 0.425947 | + | 0.904748i | \(0.359941\pi\) |
−0.996508 | + | 0.0834933i | \(0.973392\pi\) | |||||||
\(864\) | −19.7789 | − | 21.7438i | −0.672892 | − | 0.739741i | ||||
\(865\) | 6.06886 | + | 10.5116i | 0.206347 | + | 0.357404i | ||||
\(866\) | 1.20002 | + | 0.113751i | 0.0407784 | + | 0.00386541i | ||||
\(867\) | 5.76398 | + | 13.4992i | 0.195755 | + | 0.458458i | ||||
\(868\) | 7.23320 | − | 11.1544i | 0.245511 | − | 0.378606i | ||||
\(869\) | 8.41467 | 0.285448 | ||||||||
\(870\) | 6.88740 | + | 21.5722i | 0.233505 | + | 0.731365i | ||||
\(871\) | −37.5458 | + | 21.6771i | −1.27219 | + | 0.734500i | ||||
\(872\) | −4.55530 | + | 1.11512i | −0.154262 | + | 0.0377626i | ||||
\(873\) | −1.00040 | − | 3.43366i | −0.0338584 | − | 0.116212i | ||||
\(874\) | 6.90830 | + | 15.0994i | 0.233677 | + | 0.510746i | ||||
\(875\) | 23.3713 | − | 18.1732i | 0.790095 | − | 0.614365i | ||||
\(876\) | 21.3518 | + | 6.81755i | 0.721410 | + | 0.230344i | ||||
\(877\) | −22.4823 | − | 12.9802i | −0.759174 | − | 0.438309i | 0.0698251 | − | 0.997559i | \(-0.477756\pi\) |
−0.828999 | + | 0.559250i | \(0.811089\pi\) | |||||||
\(878\) | −19.4229 | − | 13.8107i | −0.655491 | − | 0.466090i | ||||
\(879\) | 4.05861 | − | 5.40983i | 0.136893 | − | 0.182469i | ||||
\(880\) | 9.02159 | − | 22.7168i | 0.304118 | − | 0.765782i | ||||
\(881\) | 0.0231379i | 0.000779536i | 1.00000 | 0.000389768i | \(0.000124067\pi\) | |||||
−1.00000 | 0.000389768i | \(0.999876\pi\) | ||||||||
\(882\) | −29.6451 | − | 1.77956i | −0.998203 | − | 0.0599210i | ||||
\(883\) | −50.1245 | −1.68682 | −0.843412 | − | 0.537268i | \(-0.819457\pi\) | ||||
−0.843412 | + | 0.537268i | \(0.819457\pi\) | |||||||
\(884\) | 12.3419 | + | 35.5005i | 0.415102 | + | 1.19401i | ||||
\(885\) | 14.6659 | + | 11.0028i | 0.492989 | + | 0.369854i | ||||
\(886\) | −33.2151 | − | 23.6178i | −1.11588 | − | 0.793455i | ||||
\(887\) | −23.4706 | + | 40.6522i | −0.788064 | + | 1.36497i | 0.139087 | + | 0.990280i | \(0.455583\pi\) |
−0.927151 | + | 0.374687i | \(0.877750\pi\) | |||||||
\(888\) | 28.0891 | − | 3.38772i | 0.942610 | − | 0.113684i | ||||
\(889\) | −3.75747 | − | 4.83224i | −0.126022 | − | 0.162068i | ||||
\(890\) | −16.9118 | + | 7.73749i | −0.566884 | + | 0.259361i | ||||
\(891\) | 18.3539 | − | 35.2381i | 0.614880 | − | 1.18052i | ||||
\(892\) | −4.58227 | + | 23.9533i | −0.153426 | + | 0.802015i | ||||
\(893\) | 5.05395 | + | 8.75370i | 0.169124 | + | 0.292931i | ||||
\(894\) | 1.54314 | + | 4.83331i | 0.0516104 | + | 0.161650i | ||||
\(895\) | − | 8.41781i | − | 0.281376i | ||||||
\(896\) | −29.9333 | − | 0.0190152i | −1.00000 | − | 0.000635252i | ||||
\(897\) | 37.8706 | − | 16.1702i | 1.26446 | − | 0.539907i | ||||
\(898\) | −0.169778 | + | 1.79109i | −0.00566557 | + | 0.0597693i | ||||
\(899\) | −14.5318 | + | 8.38996i | −0.484664 | + | 0.279821i | ||||
\(900\) | 15.0807 | − | 10.7227i | 0.502689 | − | 0.357423i | ||||
\(901\) | 20.8820 | + | 12.0562i | 0.695679 | + | 0.401651i | ||||
\(902\) | 1.29204 | + | 2.82400i | 0.0430202 | + | 0.0940289i | ||||
\(903\) | 0.0685471 | + | 3.96745i | 0.00228110 | + | 0.132028i | ||||
\(904\) | 13.0193 | − | 44.6823i | 0.433014 | − | 1.48611i | ||||
\(905\) | −13.8834 | − | 8.01559i | −0.461500 | − | 0.266447i | ||||
\(906\) | 12.2045 | − | 56.0070i | 0.405467 | − | 1.86071i | ||||
\(907\) | −7.24598 | − | 12.5504i | −0.240599 | − | 0.416729i | 0.720286 | − | 0.693677i | \(-0.244010\pi\) |
−0.960885 | + | 0.276948i | \(0.910677\pi\) | |||||||
\(908\) | 29.6562 | − | 10.3101i | 0.984177 | − | 0.342152i | ||||
\(909\) | −4.29754 | + | 4.48826i | −0.142541 | + | 0.148866i | ||||
\(910\) | −33.3030 | + | 1.42675i | −1.10398 | + | 0.0472962i | ||||
\(911\) | −28.7559 | −0.952726 | −0.476363 | − | 0.879249i | \(-0.658045\pi\) | ||||
−0.476363 | + | 0.879249i | \(0.658045\pi\) | |||||||
\(912\) | −0.561889 | − | 22.0145i | −0.0186060 | − | 0.728974i | ||||
\(913\) | −15.4525 | − | 26.7646i | −0.511404 | − | 0.885779i | ||||
\(914\) | 12.2351 | − | 17.2069i | 0.404700 | − | 0.569155i | ||||
\(915\) | 0.992369 | − | 8.22670i | 0.0328067 | − | 0.271966i | ||||
\(916\) | 18.3294 | + | 15.8382i | 0.605622 | + | 0.523309i | ||||
\(917\) | 12.4497 | − | 1.72046i | 0.411124 | − | 0.0568146i | ||||
\(918\) | 21.4054 | − | 1.47818i | 0.706483 | − | 0.0487871i | ||||
\(919\) | −14.3049 | − | 8.25895i | −0.471876 | − | 0.272438i | 0.245149 | − | 0.969485i | \(-0.421163\pi\) |
−0.717025 | + | 0.697048i | \(0.754497\pi\) | |||||||
\(920\) | −3.43869 | − | 14.0472i | −0.113370 | − | 0.463122i | ||||
\(921\) | −11.4690 | + | 15.2874i | −0.377918 | + | 0.503737i | ||||
\(922\) | 38.2064 | + | 3.62161i | 1.25826 | + | 0.119271i | ||||
\(923\) | 12.2567i | 0.403434i | ||||||||
\(924\) | −13.9444 | − | 37.9817i | −0.458738 | − | 1.24951i | ||||
\(925\) | 17.8109i | 0.585619i | ||||||||
\(926\) | 3.24380 | − | 34.2207i | 0.106598 | − | 1.12456i | ||||
\(927\) | 3.95434 | − | 16.1522i | 0.129878 | − | 0.530507i | ||||
\(928\) | 33.6410 | + | 17.1961i | 1.10432 | + | 0.564491i | ||||
\(929\) | −2.55192 | − | 1.47335i | −0.0837258 | − | 0.0483391i | 0.457553 | − | 0.889183i | \(-0.348726\pi\) |
−0.541278 | + | 0.840843i | \(0.682059\pi\) | |||||||
\(930\) | −6.30118 | − | 5.73226i | −0.206624 | − | 0.187968i | ||||
\(931\) | −15.9339 | − | 15.5296i | −0.522212 | − | 0.508963i | ||||
\(932\) | 8.83980 | + | 7.63835i | 0.289557 | + | 0.250202i | ||||
\(933\) | −53.8413 | − | 6.49476i | −1.76269 | − | 0.212629i | ||||
\(934\) | −29.6362 | − | 21.0730i | −0.969725 | − | 0.689528i | ||||
\(935\) | 8.92106 | + | 15.4517i | 0.291750 | + | 0.505326i | ||||
\(936\) | −54.6120 | − | 0.00118308i | −1.78505 | − | 3.86701e-5i | ||||
\(937\) | 31.6130 | 1.03275 | 0.516375 | − | 0.856362i | \(-0.327281\pi\) | ||||
0.516375 | + | 0.856362i | \(0.327281\pi\) | |||||||
\(938\) | 22.3469 | + | 11.6563i | 0.729652 | + | 0.380591i | ||||
\(939\) | −8.88366 | − | 20.8055i | −0.289907 | − | 0.678963i | ||||
\(940\) | −2.89085 | − | 8.31533i | −0.0942891 | − | 0.271216i | ||||
\(941\) | −16.1958 | − | 28.0519i | −0.527966 | − | 0.914465i | −0.999468 | − | 0.0325998i | \(-0.989621\pi\) |
0.471502 | − | 0.881865i | \(-0.343712\pi\) | |||||||
\(942\) | −11.6385 | + | 53.4098i | −0.379204 | + | 1.74019i | ||||
\(943\) | 1.59128 | + | 0.918726i | 0.0518192 | + | 0.0299178i | ||||
\(944\) | 30.2658 | − | 4.43706i | 0.985069 | − | 0.144414i | ||||
\(945\) | −4.20514 | + | 18.5590i | −0.136793 | + | 0.603724i | ||||
\(946\) | −4.91589 | + | 2.24912i | −0.159829 | + | 0.0731253i | ||||
\(947\) | −18.1295 | − | 10.4671i | −0.589129 | − | 0.340134i | 0.175624 | − | 0.984457i | \(-0.443806\pi\) |
−0.764753 | + | 0.644324i | \(0.777139\pi\) | |||||||
\(948\) | −6.45154 | + | 1.40571i | −0.209536 | + | 0.0456554i | ||||
\(949\) | 36.0643 | − | 20.8217i | 1.17070 | − | 0.675902i | ||||
\(950\) | 13.8013 | + | 1.30823i | 0.447774 | + | 0.0424447i | ||||
\(951\) | 16.6386 | + | 38.9676i | 0.539543 | + | 1.26361i | ||||
\(952\) | 13.5652 | − | 17.1293i | 0.439650 | − | 0.555163i | ||||
\(953\) | 34.4190i | 1.11494i | 0.830197 | + | 0.557470i | \(0.188228\pi\) | ||||
−0.830197 | + | 0.557470i | \(0.811772\pi\) | |||||||
\(954\) | −26.5109 | + | 22.9067i | −0.858321 | + | 0.741631i | ||||
\(955\) | −1.04790 | − | 1.81502i | −0.0339094 | − | 0.0587328i | ||||
\(956\) | 44.4286 | + | 8.49919i | 1.43692 | + | 0.274884i | ||||
\(957\) | −6.11597 | + | 50.7011i | −0.197701 | + | 1.63893i | ||||
\(958\) | −5.27711 | − | 11.5341i | −0.170496 | − | 0.372651i | ||||
\(959\) | 0.334654 | − | 0.822837i | 0.0108065 | − | 0.0265708i | ||||
\(960\) | −3.12193 | + | 18.9241i | −0.100760 | + | 0.610772i | ||||
\(961\) | −12.3439 | + | 21.3803i | −0.398191 | + | 0.689687i | ||||
\(962\) | 30.4617 | − | 42.8401i | 0.982124 | − | 1.38122i | ||||
\(963\) | −4.26308 | + | 17.4133i | −0.137376 | + | 0.561134i | ||||
\(964\) | 16.7418 | + | 48.1566i | 0.539216 | + | 1.55102i | ||||
\(965\) | 22.0863 | 0.710982 | ||||||||
\(966\) | −19.7467 | − | 13.5336i | −0.635340 | − | 0.435435i | ||||
\(967\) | 52.5582i | 1.69016i | 0.534643 | + | 0.845078i | \(0.320446\pi\) | ||||
−0.534643 | + | 0.845078i | \(0.679554\pi\) | |||||||
\(968\) | 17.3424 | − | 16.6047i | 0.557405 | − | 0.533697i | ||||
\(969\) | 12.8586 | + | 9.64685i | 0.413077 | + | 0.309901i | ||||
\(970\) | −1.35234 | + | 1.90188i | −0.0434211 | + | 0.0610657i | ||||
\(971\) | −0.310281 | − | 0.179141i | −0.00995738 | − | 0.00574890i | 0.495013 | − | 0.868886i | \(-0.335163\pi\) |
−0.504970 | + | 0.863137i | \(0.668497\pi\) | |||||||
\(972\) | −8.18529 | + | 30.0832i | −0.262543 | + | 0.964920i | ||||
\(973\) | 19.5372 | − | 15.1918i | 0.626335 | − | 0.487028i | ||||
\(974\) | 7.45827 | − | 3.41231i | 0.238978 | − | 0.109338i | ||||
\(975\) | 4.11729 | − | 34.1321i | 0.131859 | − | 1.09310i | ||||
\(976\) | −8.57611 | − | 10.8435i | −0.274515 | − | 0.347093i | ||||
\(977\) | −34.5190 | + | 19.9296i | −1.10436 | + | 0.637603i | −0.937363 | − | 0.348354i | \(-0.886741\pi\) |
−0.166998 | + | 0.985957i | \(0.553407\pi\) | |||||||
\(978\) | 12.6655 | + | 39.6699i | 0.404998 | + | 1.26850i | ||||
\(979\) | −41.9414 | −1.34045 | ||||||||
\(980\) | 11.0891 | + | 15.8922i | 0.354230 | + | 0.507658i | ||||
\(981\) | 3.59286 | + | 3.44019i | 0.114711 | + | 0.109837i | ||||
\(982\) | 1.81357 | − | 19.1323i | 0.0578732 | − | 0.610538i | ||||
\(983\) | 14.8055 | + | 25.6439i | 0.472223 | + | 0.817914i | 0.999495 | − | 0.0317825i | \(-0.0101184\pi\) |
−0.527272 | + | 0.849697i | \(0.676785\pi\) | |||||||
\(984\) | −1.46237 | − | 1.94932i | −0.0466187 | − | 0.0621422i | ||||
\(985\) | 0.666498 | − | 1.15441i | 0.0212364 | − | 0.0367825i | ||||
\(986\) | −25.0786 | + | 11.4740i | −0.798666 | + | 0.365406i | ||||
\(987\) | −12.7443 | − | 7.06726i | −0.405656 | − | 0.224953i | ||||
\(988\) | −30.9585 | − | 26.7508i | −0.984920 | − | 0.851056i | ||||
\(989\) | −1.59928 | + | 2.77003i | −0.0508540 | + | 0.0880818i | ||||
\(990\) | −25.4637 | + | 4.87063i | −0.809288 | + | 0.154799i | ||||
\(991\) | 19.2020 | − | 11.0863i | 0.609970 | − | 0.352167i | −0.162983 | − | 0.986629i | \(-0.552112\pi\) |
0.772954 | + | 0.634462i | \(0.218778\pi\) | |||||||
\(992\) | −14.1938 | + | 0.725331i | −0.450652 | + | 0.0230293i | ||||
\(993\) | 9.87945 | + | 23.1377i | 0.313515 | + | 0.734253i | ||||
\(994\) | 6.01272 | − | 3.82362i | 0.190712 | − | 0.121278i | ||||
\(995\) | − | 2.75860i | − | 0.0874535i | ||||||
\(996\) | 16.3186 | + | 17.9390i | 0.517076 | + | 0.568420i | ||||
\(997\) | 19.4291 | − | 11.2174i | 0.615324 | − | 0.355258i | −0.159722 | − | 0.987162i | \(-0.551060\pi\) |
0.775046 | + | 0.631904i | \(0.217726\pi\) | |||||||
\(998\) | 30.5100 | − | 42.9081i | 0.965777 | − | 1.35823i | ||||
\(999\) | −19.0335 | − | 23.2004i | −0.602194 | − | 0.734030i |
(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 | 168.2.v.a.107.28 | yes | 56 | |
3.2 | odd | 2 | inner | 168.2.v.a.107.1 | yes | 56 | |
4.3 | odd | 2 | 672.2.bd.a.527.7 | 56 | |||
7.4 | even | 3 | inner | 168.2.v.a.11.10 | yes | 56 | |
8.3 | odd | 2 | inner | 168.2.v.a.107.19 | yes | 56 | |
8.5 | even | 2 | 672.2.bd.a.527.8 | 56 | |||
12.11 | even | 2 | 672.2.bd.a.527.28 | 56 | |||
21.11 | odd | 6 | inner | 168.2.v.a.11.19 | yes | 56 | |
24.5 | odd | 2 | 672.2.bd.a.527.27 | 56 | |||
24.11 | even | 2 | inner | 168.2.v.a.107.10 | yes | 56 | |
28.11 | odd | 6 | 672.2.bd.a.431.27 | 56 | |||
56.11 | odd | 6 | inner | 168.2.v.a.11.1 | ✓ | 56 | |
56.53 | even | 6 | 672.2.bd.a.431.28 | 56 | |||
84.11 | even | 6 | 672.2.bd.a.431.8 | 56 | |||
168.11 | even | 6 | inner | 168.2.v.a.11.28 | yes | 56 | |
168.53 | odd | 6 | 672.2.bd.a.431.7 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.v.a.11.1 | ✓ | 56 | 56.11 | odd | 6 | inner | |
168.2.v.a.11.10 | yes | 56 | 7.4 | even | 3 | inner | |
168.2.v.a.11.19 | yes | 56 | 21.11 | odd | 6 | inner | |
168.2.v.a.11.28 | yes | 56 | 168.11 | even | 6 | inner | |
168.2.v.a.107.1 | yes | 56 | 3.2 | odd | 2 | inner | |
168.2.v.a.107.10 | yes | 56 | 24.11 | even | 2 | inner | |
168.2.v.a.107.19 | yes | 56 | 8.3 | odd | 2 | inner | |
168.2.v.a.107.28 | yes | 56 | 1.1 | even | 1 | trivial | |
672.2.bd.a.431.7 | 56 | 168.53 | odd | 6 | |||
672.2.bd.a.431.8 | 56 | 84.11 | even | 6 | |||
672.2.bd.a.431.27 | 56 | 28.11 | odd | 6 | |||
672.2.bd.a.431.28 | 56 | 56.53 | even | 6 | |||
672.2.bd.a.527.7 | 56 | 4.3 | odd | 2 | |||
672.2.bd.a.527.8 | 56 | 8.5 | even | 2 | |||
672.2.bd.a.527.27 | 56 | 24.5 | odd | 2 | |||
672.2.bd.a.527.28 | 56 | 12.11 | even | 2 |