Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [539,2,Mod(214,539)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(539, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("539.214");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 539 = 7^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 539.q (of order \(15\), degree \(8\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.30393666895\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{15})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{15} - 5 x^{14} + 16 x^{13} + 4 x^{12} - 29 x^{11} + 10 x^{10} - 156 x^{9} + 251 x^{8} + 240 x^{7} + 390 x^{6} - 1375 x^{5} - 300 x^{4} + 500 x^{3} + 375 x^{2} + 625 x + 625 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 77) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 471.1 | ||
Root | \(1.62381 - 0.722968i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 539.471 |
Dual form | 539.2.q.c.214.1 |
$q$-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 \(\left(\mathbb{Z}/539\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(442\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.520239 | − | 0.577783i | −0.367864 | − | 0.408555i | 0.530585 | − | 0.847632i | \(-0.321972\pi\) |
−0.898449 | + | 0.439077i | \(0.855306\pi\) | |||||||
\(3\) | 0.564602 | + | 0.251377i | 0.325973 | + | 0.145133i | 0.563198 | − | 0.826322i | \(-0.309571\pi\) |
−0.237224 | + | 0.971455i | \(0.576238\pi\) | |||||||
\(4\) | 0.145871 | − | 1.38787i | 0.0729357 | − | 0.693937i | ||||
\(5\) | 0.217653 | + | 0.0462636i | 0.0973375 | + | 0.0206897i | 0.256323 | − | 0.966591i | \(-0.417489\pi\) |
−0.158985 | + | 0.987281i | \(0.550822\pi\) | |||||||
\(6\) | −0.148486 | − | 0.456994i | −0.0606193 | − | 0.186567i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −2.13577 | + | 1.55173i | −0.755110 | + | 0.548620i | ||||
\(9\) | −1.75181 | − | 1.94558i | −0.583936 | − | 0.648526i | ||||
\(10\) | −0.0865012 | − | 0.149825i | −0.0273541 | − | 0.0473787i | ||||
\(11\) | −3.14501 | + | 1.05306i | −0.948255 | + | 0.317508i | ||||
\(12\) | 0.431239 | − | 0.746928i | 0.124488 | − | 0.215619i | ||||
\(13\) | 2.01774 | − | 6.20997i | 0.559620 | − | 1.72233i | −0.123798 | − | 0.992307i | \(-0.539507\pi\) |
0.683418 | − | 0.730027i | \(-0.260493\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.111258 | + | 0.0808336i | 0.0287267 | + | 0.0208711i | ||||
\(16\) | −0.722369 | − | 0.153544i | −0.180592 | − | 0.0383861i | ||||
\(17\) | −2.90042 | + | 3.22125i | −0.703456 | + | 0.781267i | −0.983922 | − | 0.178597i | \(-0.942844\pi\) |
0.280466 | + | 0.959864i | \(0.409511\pi\) | |||||||
\(18\) | −0.212766 | + | 2.02433i | −0.0501493 | + | 0.477139i | ||||
\(19\) | −0.304701 | − | 2.89904i | −0.0699032 | − | 0.665085i | −0.972229 | − | 0.234031i | \(-0.924808\pi\) |
0.902326 | − | 0.431054i | \(-0.141858\pi\) | |||||||
\(20\) | 0.0959574 | − | 0.295327i | 0.0214567 | − | 0.0660370i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 2.24459 | + | 1.26929i | 0.478549 | + | 0.270614i | ||||
\(23\) | 1.94898 | − | 3.37573i | 0.406390 | − | 0.703888i | −0.588092 | − | 0.808794i | \(-0.700121\pi\) |
0.994482 | + | 0.104906i | \(0.0334540\pi\) | |||||||
\(24\) | −1.59593 | + | 0.339226i | −0.325768 | + | 0.0692442i | ||||
\(25\) | −4.52249 | − | 2.01354i | −0.904499 | − | 0.402709i | ||||
\(26\) | −4.63772 | + | 2.06485i | −0.909532 | + | 0.404950i | ||||
\(27\) | −1.07295 | − | 3.30220i | −0.206489 | − | 0.635508i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.05322 | + | 2.21829i | 0.566969 | + | 0.411927i | 0.834003 | − | 0.551760i | \(-0.186044\pi\) |
−0.267034 | + | 0.963687i | \(0.586044\pi\) | |||||||
\(30\) | −0.0111763 | − | 0.106336i | −0.00204051 | − | 0.0194142i | ||||
\(31\) | 6.73903 | − | 1.43242i | 1.21037 | − | 0.257271i | 0.441842 | − | 0.897093i | \(-0.354325\pi\) |
0.768523 | + | 0.639822i | \(0.220992\pi\) | |||||||
\(32\) | 2.92705 | + | 5.06980i | 0.517434 | + | 0.896223i | ||||
\(33\) | −2.04039 | − | 0.196025i | −0.355187 | − | 0.0341236i | ||||
\(34\) | 3.37009 | 0.577966 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.95576 | + | 2.14748i | −0.492626 | + | 0.357914i | ||||
\(37\) | −5.16474 | + | 2.29949i | −0.849078 | + | 0.378034i | −0.784688 | − | 0.619891i | \(-0.787177\pi\) |
−0.0643903 | + | 0.997925i | \(0.520510\pi\) | |||||||
\(38\) | −1.51650 | + | 1.68424i | −0.246009 | + | 0.273220i | ||||
\(39\) | 2.70026 | − | 2.99895i | 0.432388 | − | 0.480216i | ||||
\(40\) | −0.536647 | + | 0.238931i | −0.0848513 | + | 0.0377782i | ||||
\(41\) | −1.08255 | + | 0.786521i | −0.169066 | + | 0.122834i | −0.669101 | − | 0.743171i | \(-0.733321\pi\) |
0.500035 | + | 0.866005i | \(0.333321\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.70820 | −0.717994 | −0.358997 | − | 0.933339i | \(-0.616881\pi\) | ||||
−0.358997 | + | 0.933339i | \(0.616881\pi\) | |||||||
\(44\) | 1.00274 | + | 4.51848i | 0.151169 | + | 0.681187i | ||||
\(45\) | −0.291277 | − | 0.504506i | −0.0434210 | − | 0.0752074i | ||||
\(46\) | −2.96437 | + | 0.630097i | −0.437073 | + | 0.0929028i | ||||
\(47\) | −0.631931 | − | 6.01242i | −0.0921765 | − | 0.877001i | −0.938720 | − | 0.344681i | \(-0.887987\pi\) |
0.846543 | − | 0.532320i | \(-0.178680\pi\) | |||||||
\(48\) | −0.369254 | − | 0.268279i | −0.0532972 | − | 0.0387227i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 1.18938 | + | 3.66055i | 0.168204 | + | 0.517679i | ||||
\(51\) | −2.44733 | + | 1.08962i | −0.342695 | + | 0.152578i | ||||
\(52\) | −8.32432 | − | 3.70622i | −1.15437 | − | 0.513961i | ||||
\(53\) | 1.68037 | − | 0.357175i | 0.230817 | − | 0.0490617i | −0.0910509 | − | 0.995846i | \(-0.529023\pi\) |
0.321868 | + | 0.946785i | \(0.395689\pi\) | |||||||
\(54\) | −1.34977 | + | 2.33786i | −0.183680 | + | 0.318143i | ||||
\(55\) | −0.733239 | + | 0.0837016i | −0.0988700 | + | 0.0112863i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.556717 | − | 1.71340i | 0.0737389 | − | 0.226945i | ||||
\(58\) | −0.306709 | − | 2.91814i | −0.0402729 | − | 0.383171i | ||||
\(59\) | 0.996474 | − | 9.48082i | 0.129730 | − | 1.23430i | −0.715008 | − | 0.699117i | \(-0.753577\pi\) |
0.844738 | − | 0.535181i | \(-0.179756\pi\) | |||||||
\(60\) | 0.128416 | − | 0.142621i | 0.0165784 | − | 0.0184122i | ||||
\(61\) | 9.41900 | + | 2.00207i | 1.20598 | + | 0.256339i | 0.766696 | − | 0.642010i | \(-0.221899\pi\) |
0.439283 | + | 0.898349i | \(0.355233\pi\) | |||||||
\(62\) | −4.33353 | − | 3.14850i | −0.550359 | − | 0.399859i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.950059 | − | 2.92398i | 0.118757 | − | 0.365498i | ||||
\(65\) | 0.726463 | − | 1.25827i | 0.0901067 | − | 0.156069i | ||||
\(66\) | 0.948230 | + | 1.28088i | 0.116719 | + | 0.157666i | ||||
\(67\) | −0.635774 | − | 1.10119i | −0.0776722 | − | 0.134532i | 0.824573 | − | 0.565756i | \(-0.191415\pi\) |
−0.902245 | + | 0.431223i | \(0.858082\pi\) | |||||||
\(68\) | 4.04759 | + | 4.49531i | 0.490843 | + | 0.545136i | ||||
\(69\) | 1.94898 | − | 1.41602i | 0.234629 | − | 0.170468i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.87670 | − | 8.85357i | −0.341401 | − | 1.05072i | −0.963482 | − | 0.267772i | \(-0.913713\pi\) |
0.622081 | − | 0.782953i | \(-0.286287\pi\) | |||||||
\(72\) | 6.76048 | + | 1.43698i | 0.796730 | + | 0.169350i | ||||
\(73\) | −0.584221 | + | 5.55850i | −0.0683779 | + | 0.650573i | 0.905632 | + | 0.424065i | \(0.139397\pi\) |
−0.974009 | + | 0.226507i | \(0.927269\pi\) | |||||||
\(74\) | 4.01551 | + | 1.78782i | 0.466793 | + | 0.207830i | ||||
\(75\) | −2.04725 | − | 2.27370i | −0.236396 | − | 0.262545i | ||||
\(76\) | −4.06794 | −0.466625 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −3.13752 | −0.355254 | ||||||||
\(79\) | −3.03086 | − | 3.36611i | −0.340998 | − | 0.378717i | 0.548116 | − | 0.836402i | \(-0.315345\pi\) |
−0.889114 | + | 0.457686i | \(0.848679\pi\) | |||||||
\(80\) | −0.150123 | − | 0.0668389i | −0.0167842 | − | 0.00747281i | ||||
\(81\) | −0.596670 | + | 5.67693i | −0.0662966 | + | 0.630770i | ||||
\(82\) | 1.01763 | + | 0.216303i | 0.112378 | + | 0.0238867i | ||||
\(83\) | 3.48688 | + | 10.7315i | 0.382734 | + | 1.17793i | 0.938111 | + | 0.346336i | \(0.112574\pi\) |
−0.555376 | + | 0.831599i | \(0.687426\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.780313 | + | 0.566931i | −0.0846368 | + | 0.0614922i | ||||
\(86\) | 2.44939 | + | 2.72032i | 0.264124 | + | 0.293340i | ||||
\(87\) | 1.16623 | + | 2.01996i | 0.125033 | + | 0.216563i | ||||
\(88\) | 5.08297 | − | 7.12929i | 0.541846 | − | 0.759985i | ||||
\(89\) | −3.96078 | + | 6.86028i | −0.419842 | + | 0.727188i | −0.995923 | − | 0.0902046i | \(-0.971248\pi\) |
0.576081 | + | 0.817393i | \(0.304581\pi\) | |||||||
\(90\) | −0.139962 | + | 0.430759i | −0.0147533 | + | 0.0454059i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −4.40079 | − | 3.19736i | −0.458814 | − | 0.333348i | ||||
\(93\) | 4.16495 | + | 0.885287i | 0.431885 | + | 0.0918000i | ||||
\(94\) | −3.14512 | + | 3.49301i | −0.324394 | + | 0.360277i | ||||
\(95\) | 0.0678008 | − | 0.645082i | 0.00695622 | − | 0.0661840i | ||||
\(96\) | 0.378188 | + | 3.59821i | 0.0385986 | + | 0.367241i | ||||
\(97\) | −2.79781 | + | 8.61078i | −0.284075 | + | 0.874292i | 0.702600 | + | 0.711585i | \(0.252023\pi\) |
−0.986674 | + | 0.162707i | \(0.947977\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 7.55825 | + | 4.27411i | 0.759633 | + | 0.429564i | ||||
\(100\) | −3.45425 | + | 5.98293i | −0.345425 | + | 0.598293i | ||||
\(101\) | 18.7904 | − | 3.99402i | 1.86971 | − | 0.397420i | 0.873687 | − | 0.486489i | \(-0.161723\pi\) |
0.996025 | + | 0.0890694i | \(0.0283893\pi\) | |||||||
\(102\) | 1.90276 | + | 0.847164i | 0.188402 | + | 0.0838818i | ||||
\(103\) | 14.8344 | − | 6.60471i | 1.46168 | − | 0.650782i | 0.486800 | − | 0.873513i | \(-0.338164\pi\) |
0.974880 | + | 0.222732i | \(0.0714974\pi\) | |||||||
\(104\) | 5.32676 | + | 16.3941i | 0.522332 | + | 1.60757i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −1.08057 | − | 0.785077i | −0.104954 | − | 0.0762534i | ||||
\(107\) | 0.563759 | + | 5.36381i | 0.0545007 | + | 0.518539i | 0.987382 | + | 0.158356i | \(0.0506193\pi\) |
−0.932881 | + | 0.360184i | \(0.882714\pi\) | |||||||
\(108\) | −4.73954 | + | 1.00742i | −0.456063 | + | 0.0969392i | ||||
\(109\) | −2.69951 | − | 4.67568i | −0.258566 | − | 0.447849i | 0.707292 | − | 0.706921i | \(-0.249917\pi\) |
−0.965858 | + | 0.259072i | \(0.916583\pi\) | |||||||
\(110\) | 0.429821 | + | 0.380109i | 0.0409818 | + | 0.0362419i | ||||
\(111\) | −3.49406 | −0.331642 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 13.3457 | − | 9.69624i | 1.25546 | − | 0.912145i | 0.256935 | − | 0.966429i | \(-0.417287\pi\) |
0.998526 | + | 0.0542834i | \(0.0172875\pi\) | |||||||
\(114\) | −1.27960 | + | 0.569714i | −0.119845 | + | 0.0533586i | ||||
\(115\) | 0.580375 | − | 0.644572i | 0.0541203 | − | 0.0601066i | ||||
\(116\) | 3.52409 | − | 3.91390i | 0.327203 | − | 0.363396i | ||||
\(117\) | −15.6167 | + | 6.95299i | −1.44376 | + | 0.642804i | ||||
\(118\) | −5.99626 | + | 4.35654i | −0.552001 | + | 0.401052i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −0.363054 | −0.0331421 | ||||||||
\(121\) | 8.78215 | − | 6.62374i | 0.798377 | − | 0.602158i | ||||
\(122\) | −3.74336 | − | 6.48370i | −0.338908 | − | 0.587006i | ||||
\(123\) | −0.808926 | + | 0.171942i | −0.0729384 | + | 0.0155035i | ||||
\(124\) | −1.00499 | − | 9.56187i | −0.0902510 | − | 0.858681i | ||||
\(125\) | −1.79128 | − | 1.30144i | −0.160217 | − | 0.116404i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.617194 | + | 1.89953i | 0.0547671 | + | 0.168556i | 0.974699 | − | 0.223523i | \(-0.0717559\pi\) |
−0.919931 | + | 0.392079i | \(0.871756\pi\) | |||||||
\(128\) | 8.51229 | − | 3.78992i | 0.752387 | − | 0.334984i | ||||
\(129\) | −2.65826 | − | 1.18353i | −0.234047 | − | 0.104204i | ||||
\(130\) | −1.10494 | + | 0.234863i | −0.0969099 | + | 0.0205988i | ||||
\(131\) | −0.685047 | + | 1.18654i | −0.0598528 | + | 0.103668i | −0.894399 | − | 0.447270i | \(-0.852396\pi\) |
0.834546 | + | 0.550938i | \(0.185730\pi\) | |||||||
\(132\) | −0.569693 | + | 2.80321i | −0.0495854 | + | 0.243988i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −0.305497 | + | 0.940223i | −0.0263909 | + | 0.0812229i | ||||
\(135\) | −0.0807592 | − | 0.768373i | −0.00695065 | − | 0.0661310i | ||||
\(136\) | 1.19614 | − | 11.3805i | 0.102568 | − | 0.975872i | ||||
\(137\) | 1.67232 | − | 1.85730i | 0.142876 | − | 0.158680i | −0.667460 | − | 0.744646i | \(-0.732618\pi\) |
0.810335 | + | 0.585966i | \(0.199285\pi\) | |||||||
\(138\) | −1.83208 | − | 0.389422i | −0.155957 | − | 0.0331498i | ||||
\(139\) | 3.85302 | + | 2.79938i | 0.326809 | + | 0.237441i | 0.739075 | − | 0.673623i | \(-0.235263\pi\) |
−0.412266 | + | 0.911063i | \(0.635263\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.15459 | − | 3.55348i | 0.0972344 | − | 0.299257i | ||||
\(142\) | −3.61887 | + | 6.26807i | −0.303689 | + | 0.526005i | ||||
\(143\) | 0.193632 | + | 21.6552i | 0.0161924 | + | 1.81090i | ||||
\(144\) | 0.966719 | + | 1.67441i | 0.0805599 | + | 0.139534i | ||||
\(145\) | 0.561917 | + | 0.624072i | 0.0466647 | + | 0.0518264i | ||||
\(146\) | 3.51554 | − | 2.55419i | 0.290948 | − | 0.211386i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.43801 | + | 7.50344i | 0.200404 | + | 0.616779i | ||||
\(149\) | 7.07186 | + | 1.50317i | 0.579350 | + | 0.123145i | 0.488260 | − | 0.872698i | \(-0.337632\pi\) |
0.0910895 | + | 0.995843i | \(0.470965\pi\) | |||||||
\(150\) | −0.248649 | + | 2.36574i | −0.0203021 | + | 0.193162i | ||||
\(151\) | 7.43597 | + | 3.31071i | 0.605131 | + | 0.269422i | 0.686346 | − | 0.727275i | \(-0.259214\pi\) |
−0.0812154 | + | 0.996697i | \(0.525880\pi\) | |||||||
\(152\) | 5.14930 | + | 5.71888i | 0.417663 | + | 0.463862i | ||||
\(153\) | 11.3482 | 0.917445 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.53304 | 0.123137 | ||||||||
\(156\) | −3.76827 | − | 4.18508i | −0.301703 | − | 0.335075i | ||||
\(157\) | 18.4092 | + | 8.19632i | 1.46922 | + | 0.654138i | 0.976395 | − | 0.215993i | \(-0.0692987\pi\) |
0.492822 | + | 0.870130i | \(0.335965\pi\) | |||||||
\(158\) | −0.368113 | + | 3.50236i | −0.0292855 | + | 0.278633i | ||||
\(159\) | 1.03853 | + | 0.220746i | 0.0823607 | + | 0.0175063i | ||||
\(160\) | 0.402535 | + | 1.23887i | 0.0318232 | + | 0.0979416i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 3.59045 | − | 2.60861i | 0.282092 | − | 0.204952i | ||||
\(163\) | 4.97465 | + | 5.52491i | 0.389645 | + | 0.432744i | 0.905770 | − | 0.423769i | \(-0.139293\pi\) |
−0.516126 | + | 0.856513i | \(0.672626\pi\) | |||||||
\(164\) | 0.933679 | + | 1.61718i | 0.0729080 | + | 0.126280i | ||||
\(165\) | −0.435029 | − | 0.137061i | −0.0338670 | − | 0.0106702i | ||||
\(166\) | 4.38647 | − | 7.59760i | 0.340456 | − | 0.589688i | ||||
\(167\) | −0.683275 | + | 2.10290i | −0.0528734 | + | 0.162728i | −0.974006 | − | 0.226520i | \(-0.927265\pi\) |
0.921133 | + | 0.389248i | \(0.127265\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −23.9752 | − | 17.4190i | −1.84424 | − | 1.33992i | ||||
\(170\) | 0.733512 | + | 0.155913i | 0.0562578 | + | 0.0119580i | ||||
\(171\) | −5.10653 | + | 5.67137i | −0.390506 | + | 0.433701i | ||||
\(172\) | −0.686792 | + | 6.53439i | −0.0523674 | + | 0.498243i | ||||
\(173\) | 1.08314 | + | 10.3054i | 0.0823500 | + | 0.783508i | 0.955288 | + | 0.295677i | \(0.0955451\pi\) |
−0.872938 | + | 0.487831i | \(0.837788\pi\) | |||||||
\(174\) | 0.560385 | − | 1.72469i | 0.0424827 | − | 0.130748i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.43355 | − | 0.277797i | 0.183436 | − | 0.0209398i | ||||
\(177\) | 2.94587 | − | 5.10240i | 0.221425 | − | 0.383520i | ||||
\(178\) | 6.02431 | − | 1.28051i | 0.451541 | − | 0.0959780i | ||||
\(179\) | −21.3856 | − | 9.52147i | −1.59843 | − | 0.711668i | −0.602196 | − | 0.798348i | \(-0.705707\pi\) |
−0.996236 | + | 0.0866804i | \(0.972374\pi\) | |||||||
\(180\) | −0.742680 | + | 0.330662i | −0.0553561 | + | 0.0246461i | ||||
\(181\) | −4.23851 | − | 13.0448i | −0.315046 | − | 0.969611i | −0.975736 | − | 0.218952i | \(-0.929736\pi\) |
0.660690 | − | 0.750659i | \(-0.270264\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.81471 | + | 3.49809i | 0.355914 | + | 0.258587i | ||||
\(184\) | 1.07565 | + | 10.2341i | 0.0792977 | + | 0.754467i | ||||
\(185\) | −1.23051 | + | 0.261552i | −0.0904686 | + | 0.0192297i | ||||
\(186\) | −1.65526 | − | 2.86700i | −0.121370 | − | 0.210219i | ||||
\(187\) | 5.72970 | − | 13.1851i | 0.418997 | − | 0.964194i | ||||
\(188\) | −8.43666 | −0.615306 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.407990 | + | 0.296422i | −0.0295987 | + | 0.0215047i | ||||
\(191\) | −10.9853 | + | 4.89099i | −0.794871 | + | 0.353899i | −0.763664 | − | 0.645614i | \(-0.776602\pi\) |
−0.0312066 | + | 0.999513i | \(0.509935\pi\) | |||||||
\(192\) | 1.27143 | − | 1.41206i | 0.0917574 | − | 0.101907i | ||||
\(193\) | 10.6284 | − | 11.8041i | 0.765050 | − | 0.849675i | −0.227210 | − | 0.973846i | \(-0.572961\pi\) |
0.992261 | + | 0.124171i | \(0.0396272\pi\) | |||||||
\(194\) | 6.43070 | − | 2.86313i | 0.461697 | − | 0.205561i | ||||
\(195\) | 0.726463 | − | 0.527806i | 0.0520231 | − | 0.0377970i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 12.3035 | 0.876590 | 0.438295 | − | 0.898831i | \(-0.355582\pi\) | ||||
0.438295 | + | 0.898831i | \(0.355582\pi\) | |||||||
\(198\) | −1.46258 | − | 6.59059i | −0.103941 | − | 0.468373i | ||||
\(199\) | −7.63075 | − | 13.2168i | −0.540929 | − | 0.936917i | −0.998851 | − | 0.0479244i | \(-0.984739\pi\) |
0.457922 | − | 0.888993i | \(-0.348594\pi\) | |||||||
\(200\) | 12.7835 | − | 2.71722i | 0.903930 | − | 0.192136i | ||||
\(201\) | −0.0821447 | − | 0.781555i | −0.00579404 | − | 0.0551266i | ||||
\(202\) | −12.0832 | − | 8.77892i | −0.850168 | − | 0.617683i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 1.15526 | + | 3.55553i | 0.0808845 | + | 0.248937i | ||||
\(205\) | −0.272009 | + | 0.121106i | −0.0189979 | + | 0.00845841i | ||||
\(206\) | −11.5335 | − | 5.13506i | −0.803580 | − | 0.357777i | ||||
\(207\) | −9.98198 | + | 2.12174i | −0.693796 | + | 0.147471i | ||||
\(208\) | −2.41106 | + | 4.17608i | −0.167177 | + | 0.289559i | ||||
\(209\) | 4.01114 | + | 8.79663i | 0.277456 | + | 0.608476i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.76058 | − | 8.49620i | 0.190046 | − | 0.584903i | −0.809952 | − | 0.586496i | \(-0.800507\pi\) |
0.999999 | + | 0.00159295i | \(0.000507051\pi\) | |||||||
\(212\) | −0.250595 | − | 2.38425i | −0.0172109 | − | 0.163751i | ||||
\(213\) | 0.601394 | − | 5.72188i | 0.0412068 | − | 0.392057i | ||||
\(214\) | 2.80583 | − | 3.11619i | 0.191803 | − | 0.213019i | ||||
\(215\) | −1.02476 | − | 0.217819i | −0.0698878 | − | 0.0148551i | ||||
\(216\) | 7.41570 | + | 5.38782i | 0.504574 | + | 0.366595i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −1.29714 | + | 3.99220i | −0.0878537 | + | 0.270386i | ||||
\(219\) | −1.72713 | + | 2.99148i | −0.116709 | + | 0.202145i | ||||
\(220\) | 0.00920856 | + | 1.02985i | 0.000620841 | + | 0.0694327i | ||||
\(221\) | 14.1515 | + | 24.5112i | 0.951935 | + | 1.64880i | ||||
\(222\) | 1.81775 | + | 2.01881i | 0.121999 | + | 0.135494i | ||||
\(223\) | −0.578645 | + | 0.420410i | −0.0387489 | + | 0.0281527i | −0.606991 | − | 0.794709i | \(-0.707624\pi\) |
0.568242 | + | 0.822861i | \(0.307624\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.00503 | + | 12.3262i | 0.267002 | + | 0.821747i | ||||
\(226\) | −12.5453 | − | 2.66658i | −0.834500 | − | 0.177378i | ||||
\(227\) | 0.556261 | − | 5.29247i | 0.0369203 | − | 0.351273i | −0.960430 | − | 0.278522i | \(-0.910155\pi\) |
0.997350 | − | 0.0727512i | \(-0.0231779\pi\) | |||||||
\(228\) | −2.29677 | − | 1.02259i | −0.152107 | − | 0.0677225i | ||||
\(229\) | −4.42183 | − | 4.91094i | −0.292203 | − | 0.324524i | 0.579113 | − | 0.815248i | \(-0.303399\pi\) |
−0.871315 | + | 0.490724i | \(0.836733\pi\) | |||||||
\(230\) | −0.674356 | −0.0444657 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −9.96318 | −0.654115 | ||||||||
\(233\) | −6.39497 | − | 7.10233i | −0.418948 | − | 0.465289i | 0.496317 | − | 0.868142i | \(-0.334685\pi\) |
−0.915265 | + | 0.402852i | \(0.868019\pi\) | |||||||
\(234\) | 12.1417 | + | 5.40584i | 0.793729 | + | 0.353391i | ||||
\(235\) | 0.140615 | − | 1.33786i | 0.00917268 | − | 0.0872722i | ||||
\(236\) | −13.0128 | − | 2.76596i | −0.847062 | − | 0.180049i | ||||
\(237\) | −0.865066 | − | 2.66240i | −0.0561921 | − | 0.172941i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −21.7194 | + | 15.7801i | −1.40491 | + | 1.02073i | −0.410872 | + | 0.911693i | \(0.634776\pi\) |
−0.994038 | + | 0.109034i | \(0.965224\pi\) | |||||||
\(240\) | −0.0679578 | − | 0.0754747i | −0.00438665 | − | 0.00487187i | ||||
\(241\) | −9.43316 | − | 16.3387i | −0.607643 | − | 1.05247i | −0.991628 | − | 0.129129i | \(-0.958782\pi\) |
0.383985 | − | 0.923340i | \(-0.374552\pi\) | |||||||
\(242\) | −8.39590 | − | 1.62826i | −0.539709 | − | 0.104668i | ||||
\(243\) | −6.97214 | + | 12.0761i | −0.447263 | + | 0.774682i | ||||
\(244\) | 4.15258 | − | 12.7803i | 0.265842 | − | 0.818177i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0.520180 | + | 0.377933i | 0.0331654 | + | 0.0240961i | ||||
\(247\) | −18.6177 | − | 3.95732i | −1.18462 | − | 0.251798i | ||||
\(248\) | −12.1703 | + | 13.5165i | −0.772815 | + | 0.858298i | ||||
\(249\) | −0.728955 | + | 6.93555i | −0.0461957 | + | 0.439522i | ||||
\(250\) | 0.179941 | + | 1.71203i | 0.0113805 | + | 0.108278i | ||||
\(251\) | 9.07680 | − | 27.9355i | 0.572923 | − | 1.76328i | −0.0702229 | − | 0.997531i | \(-0.522371\pi\) |
0.643146 | − | 0.765744i | \(-0.277629\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.57472 | + | 12.6691i | −0.161871 | + | 0.796498i | ||||
\(254\) | 0.776427 | − | 1.34481i | 0.0487174 | − | 0.0843810i | ||||
\(255\) | −0.583080 | + | 0.123937i | −0.0365139 | + | 0.00776126i | ||||
\(256\) | −12.2355 | − | 5.44759i | −0.764718 | − | 0.340474i | ||||
\(257\) | −15.4539 | + | 6.88052i | −0.963987 | + | 0.429195i | −0.827512 | − | 0.561449i | \(-0.810244\pi\) |
−0.136476 | + | 0.990643i | \(0.543578\pi\) | |||||||
\(258\) | 0.699104 | + | 2.15162i | 0.0435243 | + | 0.133954i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −1.64035 | − | 1.19178i | −0.101730 | − | 0.0739114i | ||||
\(261\) | −1.03279 | − | 9.82630i | −0.0639278 | − | 0.608233i | ||||
\(262\) | 1.04195 | − | 0.221473i | 0.0643718 | − | 0.0136826i | ||||
\(263\) | 4.09017 | + | 7.08438i | 0.252211 | + | 0.436842i | 0.964134 | − | 0.265415i | \(-0.0855091\pi\) |
−0.711923 | + | 0.702257i | \(0.752176\pi\) | |||||||
\(264\) | 4.66200 | − | 2.74747i | 0.286926 | − | 0.169095i | ||||
\(265\) | 0.382263 | 0.0234822 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.96078 | + | 2.87768i | −0.242396 | + | 0.176111i | ||||
\(268\) | −1.62106 | + | 0.721741i | −0.0990219 | + | 0.0440874i | ||||
\(269\) | −4.18017 | + | 4.64255i | −0.254869 | + | 0.283061i | −0.856978 | − | 0.515353i | \(-0.827661\pi\) |
0.602109 | + | 0.798414i | \(0.294327\pi\) | |||||||
\(270\) | −0.401939 | + | 0.446398i | −0.0244612 | + | 0.0271669i | ||||
\(271\) | 7.18675 | − | 3.19975i | 0.436564 | − | 0.194371i | −0.176673 | − | 0.984270i | \(-0.556534\pi\) |
0.613237 | + | 0.789899i | \(0.289867\pi\) | |||||||
\(272\) | 2.58978 | − | 1.88159i | 0.157029 | − | 0.114088i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −1.94312 | −0.117388 | ||||||||
\(275\) | 16.3437 | + | 1.57017i | 0.985559 | + | 0.0946850i | ||||
\(276\) | −1.68095 | − | 2.91149i | −0.101181 | − | 0.175251i | ||||
\(277\) | −11.7844 | + | 2.50485i | −0.708055 | + | 0.150502i | −0.547843 | − | 0.836581i | \(-0.684551\pi\) |
−0.160212 | + | 0.987083i | \(0.551218\pi\) | |||||||
\(278\) | −0.387053 | − | 3.68256i | −0.0232139 | − | 0.220865i | ||||
\(279\) | −14.5924 | − | 10.6020i | −0.873622 | − | 0.634724i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 6.53723 | + | 20.1195i | 0.389978 | + | 1.20023i | 0.932804 | + | 0.360384i | \(0.117354\pi\) |
−0.542826 | + | 0.839846i | \(0.682646\pi\) | |||||||
\(282\) | −2.65380 | + | 1.18155i | −0.158032 | + | 0.0703603i | ||||
\(283\) | −22.8417 | − | 10.1698i | −1.35780 | − | 0.604531i | −0.406741 | − | 0.913544i | \(-0.633335\pi\) |
−0.951058 | + | 0.309013i | \(0.900001\pi\) | |||||||
\(284\) | −12.7073 | + | 2.70101i | −0.754037 | + | 0.160275i | ||||
\(285\) | 0.200439 | − | 0.347171i | 0.0118730 | − | 0.0205646i | ||||
\(286\) | 12.4113 | − | 11.3777i | 0.733894 | − | 0.672780i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 4.73607 | − | 14.5761i | 0.279075 | − | 0.858906i | ||||
\(289\) | −0.186988 | − | 1.77908i | −0.0109993 | − | 0.104652i | ||||
\(290\) | 0.0682476 | − | 0.649333i | 0.00400764 | − | 0.0381301i | ||||
\(291\) | −3.74420 | + | 4.15836i | −0.219489 | + | 0.243767i | ||||
\(292\) | 7.62927 | + | 1.62165i | 0.446469 | + | 0.0948999i | ||||
\(293\) | 0.368173 | + | 0.267494i | 0.0215089 | + | 0.0156271i | 0.598488 | − | 0.801132i | \(-0.295769\pi\) |
−0.576979 | + | 0.816759i | \(0.695769\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.655503 | − | 2.01743i | 0.0381648 | − | 0.117459i | ||||
\(296\) | 7.46253 | − | 12.9255i | 0.433751 | − | 0.751278i | ||||
\(297\) | 6.85183 | + | 9.25556i | 0.397584 | + | 0.537062i | ||||
\(298\) | −2.81055 | − | 4.86801i | −0.162811 | − | 0.281996i | ||||
\(299\) | −17.0306 | − | 18.9144i | −0.984907 | − | 1.09385i | ||||
\(300\) | −3.45425 | + | 2.50966i | −0.199431 | + | 0.144895i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −1.95561 | − | 6.01874i | −0.112533 | − | 0.346339i | ||||
\(303\) | 11.6131 | + | 2.46844i | 0.667155 | + | 0.141808i | ||||
\(304\) | −0.225024 | + | 2.14096i | −0.0129060 | + | 0.122793i | ||||
\(305\) | 1.95745 | + | 0.871514i | 0.112083 | + | 0.0499028i | ||||
\(306\) | −5.90375 | − | 6.55678i | −0.337495 | − | 0.374826i | ||||
\(307\) | −8.03578 | −0.458626 | −0.229313 | − | 0.973353i | \(-0.573648\pi\) | ||||
−0.229313 | + | 0.973353i | \(0.573648\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 10.0358 | 0.570918 | ||||||||
\(310\) | −0.797547 | − | 0.885765i | −0.0452976 | − | 0.0503081i | ||||
\(311\) | 0.125124 | + | 0.0557086i | 0.00709511 | + | 0.00315894i | 0.410281 | − | 0.911959i | \(-0.365431\pi\) |
−0.403186 | + | 0.915118i | \(0.632097\pi\) | |||||||
\(312\) | −1.11360 | + | 10.5952i | −0.0630449 | + | 0.599832i | ||||
\(313\) | 14.9558 | + | 3.17896i | 0.845352 | + | 0.179685i | 0.610174 | − | 0.792267i | \(-0.291099\pi\) |
0.235178 | + | 0.971952i | \(0.424433\pi\) | |||||||
\(314\) | −4.84150 | − | 14.9006i | −0.273221 | − | 0.840889i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −5.11385 | + | 3.71543i | −0.287676 | + | 0.209009i | ||||
\(317\) | −22.0763 | − | 24.5182i | −1.23993 | − | 1.37708i | −0.899565 | − | 0.436787i | \(-0.856116\pi\) |
−0.340364 | − | 0.940294i | \(-0.610550\pi\) | |||||||
\(318\) | −0.412739 | − | 0.714885i | −0.0231453 | − | 0.0400888i | ||||
\(319\) | −11.9384 | − | 3.76134i | −0.668421 | − | 0.210595i | ||||
\(320\) | 0.342058 | − | 0.592461i | 0.0191216 | − | 0.0331196i | ||||
\(321\) | −1.03004 | + | 3.17014i | −0.0574912 | + | 0.176940i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 10.2223 | + | 7.42692i | 0.568783 | + | 0.413245i | ||||
\(324\) | 7.79183 | + | 1.65620i | 0.432879 | + | 0.0920113i | ||||
\(325\) | −21.6293 | + | 24.0217i | −1.19978 | + | 1.33249i | ||||
\(326\) | 0.604196 | − | 5.74854i | 0.0334633 | − | 0.318382i | ||||
\(327\) | −0.348788 | − | 3.31850i | −0.0192880 | − | 0.183513i | ||||
\(328\) | 1.09162 | − | 3.35966i | 0.0602747 | − | 0.185506i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0.147127 | + | 0.322657i | 0.00809908 | + | 0.0177617i | ||||
\(331\) | −14.7667 | + | 25.5767i | −0.811653 | + | 1.40582i | 0.100054 | + | 0.994982i | \(0.468099\pi\) |
−0.911707 | + | 0.410842i | \(0.865235\pi\) | |||||||
\(332\) | 15.4026 | − | 3.27392i | 0.845327 | − | 0.179680i | ||||
\(333\) | 13.5215 | + | 6.02015i | 0.740972 | + | 0.329902i | ||||
\(334\) | 1.57049 | − | 0.699227i | 0.0859333 | − | 0.0382600i | ||||
\(335\) | −0.0874331 | − | 0.269091i | −0.00477698 | − | 0.0147020i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.55497 | − | 3.30938i | −0.248125 | − | 0.180273i | 0.456770 | − | 0.889585i | \(-0.349006\pi\) |
−0.704895 | + | 0.709311i | \(0.749006\pi\) | |||||||
\(338\) | 2.40841 | + | 22.9145i | 0.131000 | + | 1.24638i | ||||
\(339\) | 9.97244 | − | 2.11971i | 0.541628 | − | 0.115127i | ||||
\(340\) | 0.673002 | + | 1.16567i | 0.0364987 | + | 0.0632176i | ||||
\(341\) | −19.6859 | + | 11.6016i | −1.06605 | + | 0.628260i | ||||
\(342\) | 5.93344 | 0.320844 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 10.0557 | − | 7.30586i | 0.542165 | − | 0.393906i | ||||
\(345\) | 0.489712 | − | 0.218034i | 0.0263652 | − | 0.0117385i | ||||
\(346\) | 5.39081 | − | 5.98711i | 0.289812 | − | 0.321869i | ||||
\(347\) | 5.84192 | − | 6.48811i | 0.313611 | − | 0.348300i | −0.565646 | − | 0.824648i | \(-0.691373\pi\) |
0.879257 | + | 0.476348i | \(0.158040\pi\) | |||||||
\(348\) | 2.97357 | − | 1.32392i | 0.159400 | − | 0.0709695i | ||||
\(349\) | −14.9401 | + | 10.8546i | −0.799724 | + | 0.581034i | −0.910833 | − | 0.412774i | \(-0.864560\pi\) |
0.111109 | + | 0.993808i | \(0.464560\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −22.6715 | −1.21011 | ||||||||
\(352\) | −14.5444 | − | 12.8622i | −0.775218 | − | 0.685558i | ||||
\(353\) | 11.7428 | + | 20.3392i | 0.625009 | + | 1.08255i | 0.988539 | + | 0.150964i | \(0.0482379\pi\) |
−0.363531 | + | 0.931582i | \(0.618429\pi\) | |||||||
\(354\) | −4.48064 | + | 0.952389i | −0.238143 | + | 0.0506189i | ||||
\(355\) | −0.216525 | − | 2.06009i | −0.0114919 | − | 0.109338i | ||||
\(356\) | 8.94343 | + | 6.49778i | 0.474001 | + | 0.344382i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5.62425 | + | 17.3097i | 0.297251 | + | 0.914844i | ||||
\(359\) | 13.5947 | − | 6.05273i | 0.717499 | − | 0.319451i | −0.0153128 | − | 0.999883i | \(-0.504874\pi\) |
0.732811 | + | 0.680432i | \(0.238208\pi\) | |||||||
\(360\) | 1.40496 | + | 0.625528i | 0.0740479 | + | 0.0329682i | ||||
\(361\) | 10.2732 | − | 2.18364i | 0.540696 | − | 0.114929i | ||||
\(362\) | −5.33203 | + | 9.23534i | −0.280245 | + | 0.485399i | ||||
\(363\) | 6.62347 | − | 1.53215i | 0.347642 | − | 0.0804168i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.384314 | + | 1.18280i | −0.0201159 | + | 0.0619104i | ||||
\(366\) | −0.483659 | − | 4.60170i | −0.0252812 | − | 0.240535i | ||||
\(367\) | 3.57758 | − | 34.0384i | 0.186748 | − | 1.77679i | −0.353646 | − | 0.935379i | \(-0.615058\pi\) |
0.540394 | − | 0.841412i | \(-0.318275\pi\) | |||||||
\(368\) | −1.92621 | + | 2.13927i | −0.100410 | + | 0.111517i | ||||
\(369\) | 3.42666 | + | 0.728360i | 0.178385 | + | 0.0379169i | ||||
\(370\) | 0.791277 | + | 0.574896i | 0.0411365 | + | 0.0298874i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 1.83621 | − | 5.65128i | 0.0952032 | − | 0.293005i | ||||
\(373\) | −1.50870 | + | 2.61314i | −0.0781173 | + | 0.135303i | −0.902438 | − | 0.430820i | \(-0.858224\pi\) |
0.824320 | + | 0.566124i | \(0.191558\pi\) | |||||||
\(374\) | −10.5990 | + | 3.54890i | −0.548060 | + | 0.183509i | ||||
\(375\) | −0.684207 | − | 1.18508i | −0.0353323 | − | 0.0611973i | ||||
\(376\) | 10.6793 | + | 11.8606i | 0.550744 | + | 0.611663i | ||||
\(377\) | 19.9361 | − | 14.4845i | 1.02676 | − | 0.745987i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −1.89252 | − | 5.82457i | −0.0972121 | − | 0.299188i | 0.890612 | − | 0.454764i | \(-0.150277\pi\) |
−0.987824 | + | 0.155576i | \(0.950277\pi\) | |||||||
\(380\) | −0.885401 | − | 0.188198i | −0.0454201 | − | 0.00965435i | ||||
\(381\) | −0.129029 | + | 1.22763i | −0.00661034 | + | 0.0628932i | ||||
\(382\) | 8.54092 | + | 3.80266i | 0.436992 | + | 0.194561i | ||||
\(383\) | 2.93814 | + | 3.26314i | 0.150132 | + | 0.166738i | 0.813520 | − | 0.581537i | \(-0.197549\pi\) |
−0.663388 | + | 0.748276i | \(0.730882\pi\) | |||||||
\(384\) | 5.75876 | 0.293875 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −12.3495 | −0.628573 | ||||||||
\(387\) | 8.24786 | + | 9.16018i | 0.419262 | + | 0.465638i | ||||
\(388\) | 11.5426 | + | 5.13908i | 0.585984 | + | 0.260897i | ||||
\(389\) | −1.09713 | + | 10.4385i | −0.0556268 | + | 0.529253i | 0.930856 | + | 0.365387i | \(0.119063\pi\) |
−0.986483 | + | 0.163866i | \(0.947603\pi\) | |||||||
\(390\) | −0.682892 | − | 0.145153i | −0.0345796 | − | 0.00735012i | ||||
\(391\) | 5.22119 | + | 16.0692i | 0.264047 | + | 0.812654i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.685047 | + | 0.497716i | −0.0345560 | + | 0.0251064i | ||||
\(394\) | −6.40077 | − | 7.10878i | −0.322466 | − | 0.358135i | ||||
\(395\) | −0.503947 | − | 0.872863i | −0.0253563 | − | 0.0439185i | ||||
\(396\) | 7.03445 | − | 9.86642i | 0.353495 | − | 0.495806i | ||||
\(397\) | −5.69441 | + | 9.86301i | −0.285794 | + | 0.495010i | −0.972801 | − | 0.231640i | \(-0.925591\pi\) |
0.687007 | + | 0.726651i | \(0.258924\pi\) | |||||||
\(398\) | −3.66666 | + | 11.2848i | −0.183793 | + | 0.565657i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.95774 | + | 2.14893i | 0.147887 | + | 0.107446i | ||||
\(401\) | 4.62170 | + | 0.982373i | 0.230797 | + | 0.0490574i | 0.321858 | − | 0.946788i | \(-0.395693\pi\) |
−0.0910613 | + | 0.995845i | \(0.529026\pi\) | |||||||
\(402\) | −0.408835 | + | 0.454057i | −0.0203908 | + | 0.0226463i | ||||
\(403\) | 4.70230 | − | 44.7394i | 0.234238 | − | 2.22863i | ||||
\(404\) | −2.80221 | − | 26.6613i | −0.139415 | − | 1.32645i | ||||
\(405\) | −0.392503 | + | 1.20800i | −0.0195036 | + | 0.0600260i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 13.8217 | − | 12.6707i | 0.685114 | − | 0.628062i | ||||
\(408\) | 3.53615 | − | 6.12479i | 0.175065 | − | 0.303222i | ||||
\(409\) | −2.41156 | + | 0.512594i | −0.119244 | + | 0.0253461i | −0.267147 | − | 0.963656i | \(-0.586081\pi\) |
0.147903 | + | 0.989002i | \(0.452748\pi\) | |||||||
\(410\) | 0.211482 | + | 0.0941581i | 0.0104444 | + | 0.00465014i | ||||
\(411\) | 1.41108 | − | 0.628252i | 0.0696033 | − | 0.0309894i | ||||
\(412\) | −7.00259 | − | 21.5518i | −0.344993 | − | 1.06178i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 6.41892 | + | 4.66362i | 0.315472 | + | 0.229204i | ||||
\(415\) | 0.262452 | + | 2.49706i | 0.0128832 | + | 0.122576i | ||||
\(416\) | 37.3893 | − | 7.94734i | 1.83316 | − | 0.389651i | ||||
\(417\) | 1.47172 | + | 2.54910i | 0.0720706 | + | 0.124830i | ||||
\(418\) | 2.99580 | − | 6.89391i | 0.146529 | − | 0.337192i | ||||
\(419\) | −14.3399 | −0.700548 | −0.350274 | − | 0.936647i | \(-0.613912\pi\) | ||||
−0.350274 | + | 0.936647i | \(0.613912\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 14.0087 | − | 10.1779i | 0.682744 | − | 0.496043i | −0.191523 | − | 0.981488i | \(-0.561343\pi\) |
0.874267 | + | 0.485446i | \(0.161343\pi\) | |||||||
\(422\) | −6.34513 | + | 2.82503i | −0.308876 | + | 0.137520i | ||||
\(423\) | −10.5906 | + | 11.7621i | −0.514933 | + | 0.571891i | ||||
\(424\) | −3.03466 | + | 3.37033i | −0.147376 | + | 0.163678i | ||||
\(425\) | 19.6033 | − | 8.72794i | 0.950898 | − | 0.423367i | ||||
\(426\) | −3.61887 | + | 2.62927i | −0.175335 | + | 0.127388i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 7.52653 | 0.363808 | ||||||||
\(429\) | −5.33429 | + | 12.2752i | −0.257542 | + | 0.592654i | ||||
\(430\) | 0.407266 | + | 0.705405i | 0.0196401 | + | 0.0340176i | ||||
\(431\) | −27.2828 | + | 5.79914i | −1.31417 | + | 0.279335i | −0.811097 | − | 0.584912i | \(-0.801129\pi\) |
−0.503069 | + | 0.864246i | \(0.667796\pi\) | |||||||
\(432\) | 0.268032 | + | 2.55015i | 0.0128957 | + | 0.122694i | ||||
\(433\) | 23.9040 | + | 17.3673i | 1.14875 | + | 0.834619i | 0.988315 | − | 0.152426i | \(-0.0487087\pi\) |
0.160440 | + | 0.987046i | \(0.448709\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.160382 | + | 0.493605i | 0.00768973 | + | 0.0236666i | ||||
\(436\) | −6.88304 | + | 3.06453i | −0.329638 | + | 0.146764i | ||||
\(437\) | −10.3802 | − | 4.62157i | −0.496554 | − | 0.221080i | ||||
\(438\) | 2.62695 | − | 0.558375i | 0.125520 | − | 0.0266802i | ||||
\(439\) | 16.8328 | − | 29.1552i | 0.803384 | − | 1.39150i | −0.113992 | − | 0.993482i | \(-0.536364\pi\) |
0.917376 | − | 0.398021i | \(-0.130303\pi\) | |||||||
\(440\) | 1.43615 | − | 1.31656i | 0.0684658 | − | 0.0627644i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 6.79997 | − | 20.9282i | 0.323442 | − | 0.995451i | ||||
\(443\) | −1.07944 | − | 10.2701i | −0.0512856 | − | 0.487949i | −0.989775 | − | 0.142640i | \(-0.954441\pi\) |
0.938489 | − | 0.345309i | \(-0.112226\pi\) | |||||||
\(444\) | −0.509684 | + | 4.84932i | −0.0241885 | + | 0.230138i | ||||
\(445\) | −1.17946 | + | 1.30992i | −0.0559117 | + | 0.0620962i | ||||
\(446\) | 0.543939 | + | 0.115618i | 0.0257563 | + | 0.00547466i | ||||
\(447\) | 3.61493 | + | 2.62640i | 0.170980 | + | 0.124224i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −0.852224 | + | 2.62287i | −0.0402189 | + | 0.123781i | −0.969150 | − | 0.246471i | \(-0.920729\pi\) |
0.928931 | + | 0.370253i | \(0.120729\pi\) | |||||||
\(450\) | 5.03831 | − | 8.72661i | 0.237508 | − | 0.411376i | ||||
\(451\) | 2.57639 | − | 3.61361i | 0.121317 | − | 0.170158i | ||||
\(452\) | −11.5104 | − | 19.9366i | −0.541403 | − | 0.937738i | ||||
\(453\) | 3.36613 | + | 3.73847i | 0.158155 | + | 0.175648i | ||||
\(454\) | −3.34729 | + | 2.43195i | −0.157096 | + | 0.114137i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.46971 | + | 4.52331i | 0.0688255 | + | 0.211823i | ||||
\(457\) | 39.4492 | + | 8.38518i | 1.84535 | + | 0.392242i | 0.991697 | − | 0.128593i | \(-0.0410460\pi\) |
0.853657 | + | 0.520835i | \(0.174379\pi\) | |||||||
\(458\) | −0.537053 | + | 5.10972i | −0.0250949 | + | 0.238762i | ||||
\(459\) | 13.7492 | + | 6.12154i | 0.641757 | + | 0.285729i | ||||
\(460\) | −0.809924 | − | 0.899512i | −0.0377629 | − | 0.0419400i | ||||
\(461\) | −34.2251 | −1.59402 | −0.797011 | − | 0.603965i | \(-0.793587\pi\) | ||||
−0.797011 | + | 0.603965i | \(0.793587\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.707349 | 0.0328733 | 0.0164367 | − | 0.999865i | \(-0.494768\pi\) | ||||
0.0164367 | + | 0.999865i | \(0.494768\pi\) | |||||||
\(464\) | −1.86495 | − | 2.07123i | −0.0865780 | − | 0.0961546i | ||||
\(465\) | 0.865558 | + | 0.385371i | 0.0401393 | + | 0.0178712i | ||||
\(466\) | −0.776701 | + | 7.38981i | −0.0359800 | + | 0.342326i | ||||
\(467\) | 27.9676 | + | 5.94470i | 1.29419 | + | 0.275088i | 0.803007 | − | 0.595970i | \(-0.203232\pi\) |
0.491180 | + | 0.871058i | \(0.336566\pi\) | |||||||
\(468\) | 7.37184 | + | 22.6882i | 0.340764 | + | 1.04876i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −0.846145 | + | 0.614760i | −0.0390298 | + | 0.0283568i | ||||
\(471\) | 8.33353 | + | 9.25532i | 0.383989 | + | 0.426463i | ||||
\(472\) | 12.5834 | + | 21.7951i | 0.579199 | + | 1.00320i | ||||
\(473\) | 14.8073 | − | 4.95800i | 0.680842 | − | 0.227969i | ||||
\(474\) | −1.08825 | + | 1.88490i | −0.0499850 | + | 0.0865765i | ||||
\(475\) | −4.45933 | + | 13.7244i | −0.204608 | + | 0.629719i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.63860 | − | 2.64360i | −0.166600 | − | 0.121042i | ||||
\(478\) | 20.4167 | + | 4.33971i | 0.933839 | + | 0.198494i | ||||
\(479\) | −3.41067 | + | 3.78793i | −0.155837 | + | 0.173075i | −0.816008 | − | 0.578041i | \(-0.803817\pi\) |
0.660170 | + | 0.751116i | \(0.270484\pi\) | |||||||
\(480\) | −0.0841527 | + | 0.800659i | −0.00384103 | + | 0.0365449i | ||||
\(481\) | 3.85865 | + | 36.7126i | 0.175940 | + | 1.67395i | ||||
\(482\) | −4.53274 | + | 13.9503i | −0.206461 | + | 0.635421i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.91185 | − | 13.1547i | −0.359629 | − | 0.597942i | ||||
\(485\) | −1.00732 | + | 1.74473i | −0.0457400 | + | 0.0792240i | ||||
\(486\) | 10.6045 | − | 2.25406i | 0.481032 | − | 0.102246i | ||||
\(487\) | 26.6648 | + | 11.8719i | 1.20830 | + | 0.537969i | 0.909243 | − | 0.416266i | \(-0.136662\pi\) |
0.299056 | + | 0.954236i | \(0.403328\pi\) | |||||||
\(488\) | −23.2235 | + | 10.3398i | −1.05128 | + | 0.468060i | ||||
\(489\) | 1.41986 | + | 4.36989i | 0.0642084 | + | 0.197613i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −24.3870 | − | 17.7182i | −1.10057 | − | 0.799610i | −0.119416 | − | 0.992844i | \(-0.538102\pi\) |
−0.981153 | + | 0.193235i | \(0.938102\pi\) | |||||||
\(492\) | 0.120635 | + | 1.14777i | 0.00543866 | + | 0.0517454i | ||||
\(493\) | −16.0013 | + | 3.40118i | −0.720662 | + | 0.153182i | ||||
\(494\) | 7.39919 | + | 12.8158i | 0.332905 | + | 0.576609i | ||||
\(495\) | 1.44734 | + | 1.27995i | 0.0650532 | + | 0.0575293i | ||||
\(496\) | −5.08801 | −0.228458 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 4.38647 | − | 3.18696i | 0.196563 | − | 0.142811i | ||||
\(499\) | 5.43655 | − | 2.42051i | 0.243373 | − | 0.108357i | −0.281425 | − | 0.959583i | \(-0.590807\pi\) |
0.524799 | + | 0.851226i | \(0.324141\pi\) | |||||||
\(500\) | −2.06753 | + | 2.29622i | −0.0924627 | + | 0.102690i | ||||
\(501\) | −0.914400 | + | 1.01554i | −0.0408524 | + | 0.0453712i | ||||
\(502\) | −20.8628 | + | 9.28871i | −0.931152 | + | 0.414576i | ||||
\(503\) | 4.02773 | − | 2.92632i | 0.179588 | − | 0.130478i | −0.494360 | − | 0.869257i | \(-0.664597\pi\) |
0.673947 | + | 0.738779i | \(0.264597\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 4.27456 | 0.190216 | ||||||||
\(506\) | 8.65945 | − | 5.10331i | 0.384960 | − | 0.226870i | ||||
\(507\) | −9.15770 | − | 15.8616i | −0.406708 | − | 0.704439i | ||||
\(508\) | 2.72633 | − | 0.579500i | 0.120962 | − | 0.0257112i | ||||
\(509\) | 2.22944 | + | 21.2117i | 0.0988181 | + | 0.940191i | 0.925813 | + | 0.377982i | \(0.123382\pi\) |
−0.826995 | + | 0.562209i | \(0.809951\pi\) | |||||||
\(510\) | 0.374949 | + | 0.272417i | 0.0166030 | + | 0.0120628i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −2.54091 | − | 7.82012i | −0.112293 | − | 0.345604i | ||||
\(513\) | −9.24627 | + | 4.11670i | −0.408233 | + | 0.181757i | ||||
\(514\) | 12.0152 | + | 5.34949i | 0.529966 | + | 0.235956i | ||||
\(515\) | 3.53432 | − | 0.751243i | 0.155741 | − | 0.0331037i | ||||
\(516\) | −2.03036 | + | 3.51669i | −0.0893816 | + | 0.154814i | ||||
\(517\) | 8.31884 | + | 18.2436i | 0.365862 | + | 0.802354i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −1.97900 | + | 6.09075i | −0.0868686 | + | 0.267354i | ||||
\(520\) | 0.400937 | + | 3.81466i | 0.0175822 | + | 0.167284i | ||||
\(521\) | 2.31409 | − | 22.0171i | 0.101382 | − | 0.964585i | −0.819060 | − | 0.573707i | \(-0.805505\pi\) |
0.920442 | − | 0.390878i | \(-0.127829\pi\) | |||||||
\(522\) | −5.14018 | + | 5.70875i | −0.224980 | + | 0.249865i | ||||
\(523\) | −4.80414 | − | 1.02115i | −0.210070 | − | 0.0446518i | 0.101674 | − | 0.994818i | \(-0.467580\pi\) |
−0.311745 | + | 0.950166i | \(0.600913\pi\) | |||||||
\(524\) | 1.54683 | + | 1.12384i | 0.0675737 | + | 0.0490952i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.96537 | − | 6.04880i | 0.0856944 | − | 0.263740i | ||||
\(527\) | −14.9318 | + | 25.8627i | −0.650441 | + | 1.12660i | ||||
\(528\) | 1.44382 | + | 0.454893i | 0.0628341 | + | 0.0197967i | ||||
\(529\) | 3.90296 | + | 6.76013i | 0.169694 | + | 0.293919i | ||||
\(530\) | −0.198868 | − | 0.220865i | −0.00863828 | − | 0.00959378i | ||||
\(531\) | −20.1913 | + | 14.6698i | −0.876228 | + | 0.636617i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.69996 | + | 8.30962i | 0.116948 | + | 0.359929i | ||||
\(534\) | 3.72323 | + | 0.791396i | 0.161120 | + | 0.0342471i | ||||
\(535\) | −0.125445 | + | 1.19353i | −0.00542347 | + | 0.0516009i | ||||
\(536\) | 3.06662 | + | 1.36535i | 0.132458 | + | 0.0589741i | ||||
\(537\) | −9.68086 | − | 10.7517i | −0.417760 | − | 0.463969i | ||||
\(538\) | 4.85707 | 0.209403 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.07818 | −0.0463977 | ||||||||
\(541\) | 12.9707 | + | 14.4055i | 0.557656 | + | 0.619340i | 0.954379 | − | 0.298599i | \(-0.0965193\pi\) |
−0.396723 | + | 0.917938i | \(0.629853\pi\) | |||||||
\(542\) | −5.58758 | − | 2.48775i | −0.240007 | − | 0.106858i | ||||
\(543\) | 0.886089 | − | 8.43058i | 0.0380257 | − | 0.361791i | ||||
\(544\) | −24.8208 | − | 5.27582i | −1.06418 | − | 0.226199i | ||||
\(545\) | −0.371242 | − | 1.14257i | −0.0159023 | − | 0.0489422i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −11.6904 | + | 8.49354i | −0.499843 | + | 0.363158i | −0.808957 | − | 0.587868i | \(-0.799968\pi\) |
0.309114 | + | 0.951025i | \(0.399968\pi\) | |||||||
\(548\) | −2.33375 | − | 2.59189i | −0.0996929 | − | 0.110720i | ||||
\(549\) | −12.6051 | − | 21.8326i | −0.537972 | − | 0.931794i | ||||
\(550\) | −7.59538 | − | 10.2600i | −0.323868 | − | 0.437486i | ||||
\(551\) | 5.50060 | − | 9.52732i | 0.234333 | − | 0.405877i | ||||
\(552\) | −1.96530 | + | 6.04858i | −0.0836489 | + | 0.257445i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 7.57795 | + | 5.50570i | 0.321956 | + | 0.233915i | ||||
\(555\) | −0.760494 | − | 0.161648i | −0.0322812 | − | 0.00686158i | ||||
\(556\) | 4.44724 | − | 4.93916i | 0.188605 | − | 0.209467i | ||||
\(557\) | −1.93073 | + | 18.3696i | −0.0818075 | + | 0.778347i | 0.874311 | + | 0.485366i | \(0.161314\pi\) |
−0.956118 | + | 0.292980i | \(0.905353\pi\) | |||||||
\(558\) | 1.46587 | + | 13.9468i | 0.0620551 | + | 0.590414i | ||||
\(559\) | −9.49993 | + | 29.2378i | −0.401804 | + | 1.23663i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 6.54945 | − | 6.00405i | 0.276518 | − | 0.253491i | ||||
\(562\) | 8.22381 | − | 14.2441i | 0.346900 | − | 0.600849i | ||||
\(563\) | −30.6002 | + | 6.50428i | −1.28965 | + | 0.274123i | −0.801160 | − | 0.598450i | \(-0.795784\pi\) |
−0.488485 | + | 0.872572i | \(0.662450\pi\) | |||||||
\(564\) | −4.76335 | − | 2.12078i | −0.200573 | − | 0.0893010i | ||||
\(565\) | 3.35332 | − | 1.49300i | 0.141075 | − | 0.0628108i | ||||
\(566\) | 6.00720 | + | 18.4883i | 0.252502 | + | 0.777120i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 19.8823 | + | 14.4454i | 0.834244 | + | 0.606114i | ||||
\(569\) | −0.181467 | − | 1.72654i | −0.00760748 | − | 0.0723803i | 0.990059 | − | 0.140649i | \(-0.0449190\pi\) |
−0.997667 | + | 0.0682691i | \(0.978252\pi\) | |||||||
\(570\) | −0.304866 | + | 0.0648012i | −0.0127694 | + | 0.00271422i | ||||
\(571\) | −6.26546 | − | 10.8521i | −0.262201 | − | 0.454146i | 0.704625 | − | 0.709580i | \(-0.251115\pi\) |
−0.966827 | + | 0.255433i | \(0.917782\pi\) | |||||||
\(572\) | 30.0829 | + | 2.89013i | 1.25783 | + | 0.120843i | ||||
\(573\) | −7.43182 | −0.310469 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −15.6114 | + | 11.3424i | −0.651042 | + | 0.473009i | ||||
\(576\) | −7.35316 | + | 3.27384i | −0.306382 | + | 0.136410i | ||||
\(577\) | 13.5095 | − | 15.0038i | 0.562407 | − | 0.624617i | −0.393131 | − | 0.919482i | \(-0.628608\pi\) |
0.955539 | + | 0.294866i | \(0.0952749\pi\) | |||||||
\(578\) | −0.930642 | + | 1.03358i | −0.0387096 | + | 0.0429914i | ||||
\(579\) | 8.96810 | − | 3.99285i | 0.372701 | − | 0.165937i | ||||
\(580\) | 0.948101 | − | 0.688835i | 0.0393677 | − | 0.0286023i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 4.35051 | 0.180334 | ||||||||
\(583\) | −4.90867 | + | 2.89285i | −0.203296 | + | 0.119809i | ||||
\(584\) | −7.37752 | − | 12.7782i | −0.305284 | − | 0.528768i | ||||
\(585\) | −3.72069 | + | 0.790857i | −0.153832 | + | 0.0326979i | ||||
\(586\) | −0.0369846 | − | 0.351885i | −0.00152782 | − | 0.0145362i | ||||
\(587\) | 0.00677611 | + | 0.00492314i | 0.000279680 | + | 0.000203200i | 0.587925 | − | 0.808915i | \(-0.299945\pi\) |
−0.587645 | + | 0.809119i | \(0.699945\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −6.20604 | − | 19.1002i | −0.255716 | − | 0.787012i | ||||
\(590\) | −1.50666 | + | 0.670806i | −0.0620280 | + | 0.0276167i | ||||
\(591\) | 6.94660 | + | 3.09283i | 0.285745 | + | 0.127222i | ||||
\(592\) | 4.08393 | − | 0.868065i | 0.167848 | − | 0.0356773i | ||||
\(593\) | 0.219649 | − | 0.380443i | 0.00901989 | − | 0.0156229i | −0.861480 | − | 0.507791i | \(-0.830462\pi\) |
0.870500 | + | 0.492168i | \(0.163796\pi\) | |||||||
\(594\) | 1.78312 | − | 8.77397i | 0.0731624 | − | 0.360001i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3.11779 | − | 9.59558i | 0.127710 | − | 0.393050i | ||||
\(597\) | −0.985925 | − | 9.38045i | −0.0403512 | − | 0.383916i | ||||
\(598\) | −2.06846 | + | 19.6800i | −0.0845854 | + | 0.804777i | ||||
\(599\) | 30.2222 | − | 33.5651i | 1.23485 | − | 1.37143i | 0.330968 | − | 0.943642i | \(-0.392625\pi\) |
0.903877 | − | 0.427793i | \(-0.140709\pi\) | |||||||
\(600\) | 7.90064 | + | 1.67933i | 0.322542 | + | 0.0685585i | ||||
\(601\) | −9.01541 | − | 6.55008i | −0.367746 | − | 0.267183i | 0.388529 | − | 0.921436i | \(-0.372983\pi\) |
−0.756276 | + | 0.654253i | \(0.772983\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −1.02870 | + | 3.16603i | −0.0418921 | + | 0.128931i | ||||
\(604\) | 5.67954 | − | 9.83725i | 0.231097 | − | 0.400272i | ||||
\(605\) | 2.21790 | − | 1.03538i | 0.0901705 | − | 0.0420943i | ||||
\(606\) | −4.61535 | − | 7.99403i | −0.187486 | − | 0.324735i | ||||
\(607\) | −23.8878 | − | 26.5301i | −0.969576 | − | 1.07682i | −0.997016 | − | 0.0772000i | \(-0.975402\pi\) |
0.0274394 | − | 0.999623i | \(-0.491265\pi\) | |||||||
\(608\) | 13.8057 | − | 10.0304i | 0.559894 | − | 0.406787i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.514796 | − | 1.58438i | −0.0208435 | − | 0.0641496i | ||||
\(611\) | −38.6120 | − | 8.20723i | −1.56207 | − | 0.332029i | ||||
\(612\) | 1.65537 | − | 15.7498i | 0.0669145 | − | 0.636649i | ||||
\(613\) | 15.7111 | + | 6.99505i | 0.634567 | + | 0.282528i | 0.698701 | − | 0.715414i | \(-0.253762\pi\) |
−0.0641337 | + | 0.997941i | \(0.520428\pi\) | |||||||
\(614\) | 4.18052 | + | 4.64294i | 0.168712 | + | 0.187374i | ||||
\(615\) | −0.184020 | −0.00742040 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −16.8852 | −0.679774 | −0.339887 | − | 0.940466i | \(-0.610389\pi\) | ||||
−0.339887 | + | 0.940466i | \(0.610389\pi\) | |||||||
\(618\) | −5.22102 | − | 5.79853i | −0.210020 | − | 0.233251i | ||||
\(619\) | 28.3831 | + | 12.6370i | 1.14081 | + | 0.507924i | 0.888115 | − | 0.459621i | \(-0.152015\pi\) |
0.252700 | + | 0.967545i | \(0.418681\pi\) | |||||||
\(620\) | 0.223627 | − | 2.12767i | 0.00898107 | − | 0.0854491i | ||||
\(621\) | −13.2385 | − | 2.81393i | −0.531242 | − | 0.112919i | ||||
\(622\) | −0.0329066 | − | 0.101276i | −0.00131943 | − | 0.00406080i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −2.41106 | + | 1.75174i | −0.0965196 | + | 0.0701256i | ||||
\(625\) | 16.2329 | + | 18.0285i | 0.649318 | + | 0.721140i | ||||
\(626\) | −5.94384 | − | 10.2950i | −0.237564 | − | 0.411472i | ||||
\(627\) | 0.0534253 | + | 5.97490i | 0.00213360 | + | 0.238615i | ||||
\(628\) | 14.0608 | − | 24.3541i | 0.561088 | − | 0.971834i | ||||
\(629\) | 7.57271 | − | 23.3064i | 0.301944 | − | 0.929287i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.86832 | − | 4.26359i | −0.233614 | − | 0.169731i | 0.464819 | − | 0.885406i | \(-0.346119\pi\) |
−0.698434 | + | 0.715675i | \(0.746119\pi\) | |||||||
\(632\) | 11.6965 | + | 2.48617i | 0.465262 | + | 0.0988946i | ||||
\(633\) | 3.69438 | − | 4.10303i | 0.146839 | − | 0.163081i | ||||
\(634\) | −2.68128 | + | 25.5106i | −0.106487 | + | 1.01316i | ||||
\(635\) | 0.0464552 | + | 0.441992i | 0.00184352 | + | 0.0175399i | ||||
\(636\) | 0.457859 | − | 1.40915i | 0.0181553 | − | 0.0558763i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 4.03757 | + | 8.85460i | 0.159849 | + | 0.350557i | ||||
\(639\) | −12.1859 | + | 21.1066i | −0.482066 | + | 0.834963i | ||||
\(640\) | 2.02806 | − | 0.431078i | 0.0801662 | − | 0.0170399i | ||||
\(641\) | −18.9560 | − | 8.43974i | −0.748716 | − | 0.333350i | −0.00334027 | − | 0.999994i | \(-0.501063\pi\) |
−0.745376 | + | 0.666645i | \(0.767730\pi\) | |||||||
\(642\) | 2.36752 | − | 1.05409i | 0.0934385 | − | 0.0416015i | ||||
\(643\) | 2.19750 | + | 6.76322i | 0.0866611 | + | 0.266715i | 0.984991 | − | 0.172606i | \(-0.0552188\pi\) |
−0.898330 | + | 0.439322i | \(0.855219\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −0.523825 | − | 0.380581i | −0.0206256 | − | 0.0149854i | ||||
\(646\) | −1.02687 | − | 9.77003i | −0.0404017 | − | 0.384397i | ||||
\(647\) | −26.9762 | + | 5.73397i | −1.06054 | + | 0.225426i | −0.704981 | − | 0.709226i | \(-0.749044\pi\) |
−0.355564 | + | 0.934652i | \(0.615711\pi\) | |||||||
\(648\) | −7.53472 | − | 13.0505i | −0.295992 | − | 0.512673i | ||||
\(649\) | 6.84991 | + | 30.8666i | 0.268883 | + | 1.21162i | ||||
\(650\) | 25.1317 | 0.985748 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 8.39353 | − | 6.09826i | 0.328716 | − | 0.238826i | ||||
\(653\) | 14.7575 | − | 6.57048i | 0.577507 | − | 0.257123i | −0.0971307 | − | 0.995272i | \(-0.530966\pi\) |
0.674638 | + | 0.738149i | \(0.264300\pi\) | |||||||
\(654\) | −1.73592 | + | 1.92793i | −0.0678798 | + | 0.0753881i | ||||
\(655\) | −0.203996 | + | 0.226561i | −0.00797079 | + | 0.00885246i | ||||
\(656\) | 0.902770 | − | 0.401939i | 0.0352472 | − | 0.0156931i | ||||
\(657\) | 11.8379 | − | 8.60076i | 0.461842 | − | 0.335548i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −13.2085 | −0.514531 | −0.257266 | − | 0.966341i | \(-0.582822\pi\) | ||||
−0.257266 | + | 0.966341i | \(0.582822\pi\) | |||||||
\(660\) | −0.253682 | + | 0.583772i | −0.00987457 | + | 0.0227233i | ||||
\(661\) | 2.45330 | + | 4.24924i | 0.0954223 | + | 0.165276i | 0.909785 | − | 0.415080i | \(-0.136247\pi\) |
−0.814362 | + | 0.580357i | \(0.802913\pi\) | |||||||
\(662\) | 22.4600 | − | 4.77403i | 0.872934 | − | 0.185548i | ||||
\(663\) | 1.82844 | + | 17.3964i | 0.0710106 | + | 0.675621i | ||||
\(664\) | −24.0996 | − | 17.5094i | −0.935245 | − | 0.679495i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −3.55605 | − | 10.9444i | −0.137794 | − | 0.424087i | ||||
\(667\) | 13.4390 | − | 5.98344i | 0.520361 | − | 0.231680i | ||||
\(668\) | 2.81889 | + | 1.25505i | 0.109066 | + | 0.0485595i | ||||
\(669\) | −0.432385 | + | 0.0919064i | −0.0167170 | + | 0.00355331i | ||||
\(670\) | −0.109991 | + | 0.190509i | −0.00424930 | + | 0.00736001i | ||||
\(671\) | −31.7311 | + | 3.62221i | −1.22497 | + | 0.139834i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −9.26654 | + | 28.5195i | −0.357199 | + | 1.09935i | 0.597524 | + | 0.801851i | \(0.296151\pi\) |
−0.954723 | + | 0.297495i | \(0.903849\pi\) | |||||||
\(674\) | 0.457566 | + | 4.35345i | 0.0176248 | + | 0.167689i | ||||
\(675\) | −1.79671 | + | 17.0946i | −0.0691556 | + | 0.657972i | ||||
\(676\) | −27.6726 | + | 30.7336i | −1.06433 | + | 1.18206i | ||||
\(677\) | −12.3138 | − | 2.61739i | −0.473259 | − | 0.100594i | −0.0348934 | − | 0.999391i | \(-0.511109\pi\) |
−0.438366 | + | 0.898797i | \(0.644442\pi\) | |||||||
\(678\) | −6.41278 | − | 4.65916i | −0.246281 | − | 0.178934i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0.786849 | − | 2.42167i | 0.0301743 | − | 0.0928668i | ||||
\(681\) | 1.64447 | − | 2.84831i | 0.0630163 | − | 0.109147i | ||||
\(682\) | 16.9445 | + | 5.33859i | 0.648840 | + | 0.204425i | ||||
\(683\) | 14.2671 | + | 24.7114i | 0.545916 | + | 0.945554i | 0.998549 | + | 0.0538567i | \(0.0171514\pi\) |
−0.452633 | + | 0.891697i | \(0.649515\pi\) | |||||||
\(684\) | 7.12625 | + | 7.91451i | 0.272479 | + | 0.302619i | ||||
\(685\) | 0.449911 | − | 0.326879i | 0.0171902 | − | 0.0124894i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −1.26208 | − | 3.88427i | −0.0481513 | − | 0.148194i | ||||
\(688\) | 3.40106 | + | 0.722918i | 0.129664 | + | 0.0275610i | ||||
\(689\) | 1.17252 | − | 11.1558i | 0.0446693 | − | 0.425000i | ||||
\(690\) | −0.380743 | − | 0.169518i | −0.0144946 | − | 0.00645343i | ||||
\(691\) | 16.9787 | + | 18.8567i | 0.645899 | + | 0.717344i | 0.973810 | − | 0.227365i | \(-0.0730111\pi\) |
−0.327910 | + | 0.944709i | \(0.606344\pi\) | |||||||
\(692\) | 14.4606 | 0.549711 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.78791 | −0.257666 | ||||||||
\(695\) | 0.709113 | + | 0.787550i | 0.0268982 | + | 0.0298735i | ||||
\(696\) | −5.62524 | − | 2.50452i | −0.213224 | − | 0.0949334i | ||||
\(697\) | 0.606285 | − | 5.76842i | 0.0229647 | − | 0.218494i | ||||
\(698\) | 14.0440 | + | 2.98515i | 0.531574 | + | 0.112990i | ||||
\(699\) | −1.82525 | − | 5.61754i | −0.0690373 | − | 0.212475i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 36.9738 | − | 26.8630i | 1.39648 | − | 1.01460i | 0.401363 | − | 0.915919i | \(-0.368537\pi\) |
0.995119 | − | 0.0986843i | \(-0.0314634\pi\) | |||||||
\(702\) | 11.7946 | + | 13.0992i | 0.445157 | + | 0.494397i | ||||
\(703\) | 8.24002 | + | 14.2721i | 0.310778 | + | 0.538283i | ||||
\(704\) | 0.0911725 | + | 10.1964i | 0.00343619 | + | 0.384292i | ||||
\(705\) | 0.415698 | − | 0.720010i | 0.0156561 | − | 0.0271171i | ||||
\(706\) | 5.64257 | − | 17.3661i | 0.212361 | − | 0.653580i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −6.65177 | − | 4.83279i | −0.249989 | − | 0.181627i | ||||
\(709\) | −37.6884 | − | 8.01092i | −1.41542 | − | 0.300856i | −0.564187 | − | 0.825647i | \(-0.690810\pi\) |
−0.851231 | + | 0.524791i | \(0.824144\pi\) | |||||||
\(710\) | −1.07764 | + | 1.19684i | −0.0404432 | + | 0.0449168i | ||||
\(711\) | −1.23955 | + | 11.7935i | −0.0464868 | + | 0.442292i | ||||
\(712\) | −2.18597 | − | 20.7981i | −0.0819225 | − | 0.779441i | ||||
\(713\) | 8.29874 | − | 25.5409i | 0.310790 | − | 0.956515i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.959703 | + | 4.72228i | −0.0358908 | + | 0.176603i | ||||
\(716\) | −16.3341 | + | 28.2915i | −0.610435 | + | 1.05730i | ||||
\(717\) | −16.2296 | + | 3.44970i | −0.606104 | + | 0.128831i | ||||
\(718\) | −10.5696 | − | 4.70590i | −0.394455 | − | 0.175623i | ||||
\(719\) | 5.20915 | − | 2.31926i | 0.194269 | − | 0.0864939i | −0.307297 | − | 0.951614i | \(-0.599424\pi\) |
0.501565 | + | 0.865120i | \(0.332758\pi\) | |||||||
\(720\) | 0.132945 | + | 0.409164i | 0.00495458 | + | 0.0152486i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −6.60620 | − | 4.79969i | −0.245857 | − | 0.178626i | ||||
\(723\) | −1.21880 | − | 11.5962i | −0.0453278 | − | 0.431266i | ||||
\(724\) | −18.7228 | + | 3.97965i | −0.695827 | + | 0.147903i | ||||
\(725\) | −9.34154 | − | 16.1800i | −0.346936 | − | 0.600911i | ||||
\(726\) | −4.33104 | − | 3.02985i | −0.160740 | − | 0.112448i | ||||
\(727\) | 11.8221 | 0.438458 | 0.219229 | − | 0.975673i | \(-0.429646\pi\) | ||||
0.219229 | + | 0.975673i | \(0.429646\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 6.88197 | − | 5.00004i | 0.254888 | − | 0.185187i | ||||
\(730\) | 0.883335 | − | 0.393286i | 0.0326937 | − | 0.0145562i | ||||
\(731\) | 13.6558 | − | 15.1663i | 0.505077 | − | 0.560945i | ||||
\(732\) | 5.55724 | − | 6.17194i | 0.205401 | − | 0.228121i | ||||
\(733\) | 8.05010 | − | 3.58413i | 0.297337 | − | 0.132383i | −0.252646 | − | 0.967559i | \(-0.581301\pi\) |
0.549983 | + | 0.835176i | \(0.314634\pi\) | |||||||
\(734\) | −21.5280 | + | 15.6410i | −0.794614 | + | 0.577321i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 22.8190 | 0.841121 | ||||||||
\(737\) | 3.15913 | + | 2.79375i | 0.116368 | + | 0.102909i | ||||
\(738\) | −1.36185 | − | 2.35879i | −0.0501303 | − | 0.0868283i | ||||
\(739\) | −0.470302 | + | 0.0999658i | −0.0173003 | + | 0.00367730i | −0.216554 | − | 0.976271i | \(-0.569482\pi\) |
0.199253 | + | 0.979948i | \(0.436148\pi\) | |||||||
\(740\) | 0.183506 | + | 1.74594i | 0.00674580 | + | 0.0641820i | ||||
\(741\) | −9.51683 | − | 6.91438i | −0.349610 | − | 0.254006i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 10.2730 | + | 31.6172i | 0.376881 | + | 1.15992i | 0.942201 | + | 0.335049i | \(0.108753\pi\) |
−0.565319 | + | 0.824872i | \(0.691247\pi\) | |||||||
\(744\) | −10.2691 | + | 4.57211i | −0.376484 | + | 0.167622i | ||||
\(745\) | 1.46967 | + | 0.654340i | 0.0538446 | + | 0.0239732i | ||||
\(746\) | 2.29471 | − | 0.487756i | 0.0840153 | − | 0.0178580i | ||||
\(747\) | 14.7706 | − | 25.5835i | 0.540429 | − | 0.936051i | ||||
\(748\) | −17.4635 | − | 9.87543i | −0.638530 | − | 0.361082i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −0.328769 | + | 1.01185i | −0.0120050 | + | 0.0369475i | ||||
\(751\) | −2.92749 | − | 27.8532i | −0.106826 | − | 1.01638i | −0.908292 | − | 0.418338i | \(-0.862613\pi\) |
0.801466 | − | 0.598040i | \(-0.204054\pi\) | |||||||
\(752\) | −0.466686 | + | 4.44022i | −0.0170183 | + | 0.161918i | ||||
\(753\) | 12.1471 | − | 13.4908i | 0.442666 | − | 0.491631i | ||||
\(754\) | −18.7404 | − | 3.98340i | −0.682486 | − | 0.145067i | ||||
\(755\) | 1.46530 | + | 1.06460i | 0.0533276 | + | 0.0387448i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −6.87465 | + | 21.1580i | −0.249863 | + | 0.769001i | 0.744935 | + | 0.667137i | \(0.232481\pi\) |
−0.994798 | + | 0.101864i | \(0.967519\pi\) | |||||||
\(758\) | −2.38078 | + | 4.12363i | −0.0864738 | + | 0.149777i | ||||
\(759\) | −4.63841 | + | 6.50577i | −0.168364 | + | 0.236144i | ||||
\(760\) | 0.856186 | + | 1.48296i | 0.0310571 | + | 0.0537925i | ||||
\(761\) | −32.2691 | − | 35.8385i | −1.16975 | − | 1.29914i | −0.945877 | − | 0.324525i | \(-0.894795\pi\) |
−0.223877 | − | 0.974618i | \(-0.571871\pi\) | |||||||
\(762\) | 0.776427 | − | 0.564108i | 0.0281270 | − | 0.0204355i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 5.18562 | + | 15.9597i | 0.187609 | + | 0.577402i | ||||
\(765\) | 2.46997 | + | 0.525007i | 0.0893018 | + | 0.0189817i | ||||
\(766\) | 0.356852 | − | 3.39522i | 0.0128936 | − | 0.122674i | ||||
\(767\) | −56.8649 | − | 25.3179i | −2.05327 | − | 0.914176i | ||||
\(768\) | −5.53878 | − | 6.15144i | −0.199864 | − | 0.221971i | ||||
\(769\) | 43.6883 | 1.57544 | 0.787721 | − | 0.616032i | \(-0.211261\pi\) | ||||
0.787721 | + | 0.616032i | \(0.211261\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −10.4549 | −0.376524 | ||||||||
\(772\) | −14.8322 | − | 16.4728i | −0.533821 | − | 0.592868i | ||||
\(773\) | −0.534944 | − | 0.238173i | −0.0192406 | − | 0.00856647i | 0.397094 | − | 0.917778i | \(-0.370019\pi\) |
−0.416334 | + | 0.909212i | \(0.636685\pi\) | |||||||
\(774\) | 1.00174 | − | 9.53096i | 0.0360069 | − | 0.342583i | ||||
\(775\) | −33.3615 | − | 7.09120i | −1.19838 | − | 0.254723i | ||||
\(776\) | −7.38612 | − | 22.7321i | −0.265146 | − | 0.816036i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 6.60197 | − | 4.79661i | 0.236692 | − | 0.171967i | ||||
\(779\) | 2.61001 | + | 2.89871i | 0.0935133 | + | 0.103857i | ||||
\(780\) | −0.626558 | − | 1.08523i | −0.0224344 | − | 0.0388575i | ||||
\(781\) | 18.3705 | + | 24.8152i | 0.657349 | + | 0.887958i | ||||
\(782\) | 6.56824 | − | 11.3765i | 0.234880 | − | 0.406824i | ||||
\(783\) | 4.04930 | − | 12.4625i | 0.144710 | − | 0.445372i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 3.62764 | + | 2.63563i | 0.129476 | + | 0.0940698i | ||||
\(786\) | 0.643960 | + | 0.136878i | 0.0229693 | + | 0.00488227i | ||||
\(787\) | 20.5534 | − | 22.8269i | 0.732650 | − | 0.813690i | −0.255561 | − | 0.966793i | \(-0.582260\pi\) |
0.988210 | + | 0.153103i | \(0.0489267\pi\) | |||||||
\(788\) | 1.79473 | − | 17.0757i | 0.0639347 | − | 0.608298i | ||||
\(789\) | 0.528467 | + | 5.02803i | 0.0188139 | + | 0.179003i | ||||
\(790\) | −0.242153 | + | 0.745269i | −0.00861540 | + | 0.0265155i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −22.7750 | + | 2.59984i | −0.809274 | + | 0.0923811i | ||||
\(793\) | 31.4379 | − | 54.4520i | 1.11639 | − | 1.93365i | ||||
\(794\) | 8.66114 | − | 1.84098i | 0.307372 | − | 0.0653340i | ||||
\(795\) | 0.215827 | + | 0.0960922i | 0.00765458 | + | 0.00340804i | ||||
\(796\) | −19.4564 | + | 8.66255i | −0.689614 | + | 0.307036i | ||||
\(797\) | −3.34767 | − | 10.3031i | −0.118581 | − | 0.364953i | 0.874096 | − | 0.485752i | \(-0.161454\pi\) |
−0.992677 | + | 0.120799i | \(0.961454\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 21.2003 | + | 15.4029i | 0.750014 | + | 0.544917i | ||||
\(800\) | −3.02930 | − | 28.8219i | −0.107102 | − | 1.01901i | ||||
\(801\) | 20.2857 | − | 4.31187i | 0.716761 | − | 0.152352i | ||||
\(802\) | −1.83679 | − | 3.18141i | −0.0648593 | − | 0.112340i | ||||
\(803\) | −4.01603 | − | 18.0967i | −0.141722 | − | 0.638620i | ||||
\(804\) | −1.09668 | −0.0386770 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −28.2960 | + | 20.5582i | −0.996684 | + | 0.724133i | ||||
\(807\) | −3.52716 | + | 1.57039i | −0.124162 | + | 0.0552805i | ||||
\(808\) | −33.9344 | + | 37.6879i | −1.19381 | + | 1.32586i | ||||
\(809\) | −25.8218 | + | 28.6780i | −0.907846 | + | 1.00826i | 0.0920761 | + | 0.995752i | \(0.470650\pi\) |
−0.999922 | + | 0.0125127i | \(0.996017\pi\) | |||||||
\(810\) | 0.902157 | − | 0.401666i | 0.0316986 | − | 0.0141131i | ||||
\(811\) | 41.1737 | − | 29.9144i | 1.44580 | − | 1.05044i | 0.459015 | − | 0.888428i | \(-0.348202\pi\) |
0.986789 | − | 0.162010i | \(-0.0517977\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 4.86200 | 0.170518 | ||||||||
\(814\) | −14.5115 | − | 1.39415i | −0.508627 | − | 0.0488650i | ||||
\(815\) | 0.827146 | + | 1.43266i | 0.0289737 | + | 0.0501839i | ||||
\(816\) | 1.93518 | − | 0.411336i | 0.0677450 | − | 0.0143996i | ||||
\(817\) | 1.43460 | + | 13.6493i | 0.0501901 | + | 0.477527i | ||||
\(818\) | 1.55076 | + | 1.12669i | 0.0542209 | + | 0.0393938i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0.128402 | + | 0.395180i | 0.00448398 | + | 0.0138003i | ||||
\(821\) | −36.8245 | + | 16.3953i | −1.28518 | + | 0.572201i | −0.931696 | − | 0.363239i | \(-0.881671\pi\) |
−0.353488 | + | 0.935439i | \(0.615004\pi\) | |||||||
\(822\) | −1.09709 | − | 0.488456i | −0.0382654 | − | 0.0170369i | ||||
\(823\) | −25.1205 | + | 5.33953i | −0.875647 | + | 0.186124i | −0.623745 | − | 0.781628i | \(-0.714389\pi\) |
−0.251902 | + | 0.967753i | \(0.581056\pi\) | |||||||
\(824\) | −21.4343 | + | 37.1252i | −0.746698 | + | 1.29332i | ||||
\(825\) | 8.83296 | + | 4.99494i | 0.307524 | + | 0.173902i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −9.87486 | + | 30.3917i | −0.343382 | + | 1.05682i | 0.619062 | + | 0.785342i | \(0.287513\pi\) |
−0.962444 | + | 0.271480i | \(0.912487\pi\) | |||||||
\(828\) | 1.48862 | + | 14.1632i | 0.0517330 | + | 0.492206i | ||||
\(829\) | −5.05920 | + | 48.1351i | −0.175713 | + | 1.67180i | 0.450980 | + | 0.892534i | \(0.351075\pi\) |
−0.626693 | + | 0.779266i | \(0.715592\pi\) | |||||||
\(830\) | 1.30622 | − | 1.45071i | 0.0453397 | − | 0.0503548i | ||||
\(831\) | −7.28315 | − | 1.54808i | −0.252650 | − | 0.0537023i | ||||
\(832\) | −16.2409 | − | 11.7997i | −0.563050 | − | 0.409080i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0.707180 | − | 2.17648i | 0.0244876 | − | 0.0753652i | ||||
\(835\) | −0.246005 | + | 0.426093i | −0.00851335 | + | 0.0147456i | ||||
\(836\) | 12.7937 | − | 4.28377i | 0.442480 | − | 0.148157i | ||||
\(837\) | −11.9608 | − | 20.7167i | −0.413425 | − | 0.716073i | ||||
\(838\) | 7.46015 | + | 8.28534i | 0.257707 | + | 0.286212i | ||||
\(839\) | 30.5133 | − | 22.1692i | 1.05344 | − | 0.765366i | 0.0805734 | − | 0.996749i | \(-0.474325\pi\) |
0.972863 | + | 0.231382i | \(0.0743249\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.56017 | − | 14.0348i | −0.157247 | − | 0.483957i | ||||
\(842\) | −13.1685 | − | 2.79906i | −0.453817 | − | 0.0964619i | ||||
\(843\) | −1.36665 | + | 13.0028i | −0.0470700 | + | 0.447841i | ||||
\(844\) | −11.3890 | − | 5.07069i | −0.392024 | − | 0.174541i | ||||
\(845\) | −4.41241 | − | 4.90048i | −0.151791 | − | 0.168582i | ||||
\(846\) | 12.3056 | 0.423074 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −1.26869 | −0.0435671 | ||||||||
\(849\) | −10.3400 | − | 11.4838i | −0.354869 | − | 0.394122i | ||||
\(850\) | −15.2412 | − | 6.78583i | −0.522770 | − | 0.232752i | ||||
\(851\) | −2.30351 | + | 21.9164i | −0.0789633 | + | 0.751286i | ||||
\(852\) | −7.85352 | − | 1.66932i | −0.269057 | − | 0.0571898i | ||||
\(853\) | 2.87035 | + | 8.83403i | 0.0982789 | + | 0.302471i | 0.988094 | − | 0.153849i | \(-0.0491670\pi\) |
−0.889815 | + | 0.456321i | \(0.849167\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −1.37383 | + | 0.998146i | −0.0469840 | + | 0.0341359i | ||||
\(856\) | −9.52725 | − | 10.5811i | −0.325635 | − | 0.361654i | ||||
\(857\) | 14.8822 | + | 25.7767i | 0.508365 | + | 0.880515i | 0.999953 | + | 0.00968670i | \(0.00308342\pi\) |
−0.491588 | + | 0.870828i | \(0.663583\pi\) | |||||||
\(858\) | 9.86753 | − | 3.30399i | 0.336872 | − | 0.112796i | ||||
\(859\) | −16.6305 | + | 28.8050i | −0.567427 | + | 0.982812i | 0.429392 | + | 0.903118i | \(0.358728\pi\) |
−0.996819 | + | 0.0796943i | \(0.974606\pi\) | |||||||
\(860\) | −0.451787 | + | 1.39046i | −0.0154058 | + | 0.0474142i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 17.5442 | + | 12.7466i | 0.597558 | + | 0.434151i | ||||
\(863\) | 18.1619 | + | 3.86043i | 0.618239 | + | 0.131411i | 0.506376 | − | 0.862313i | \(-0.330985\pi\) |
0.111863 | + | 0.993724i | \(0.464318\pi\) | |||||||
\(864\) | 13.6009 | − | 15.1053i | 0.462712 | − | 0.513894i | ||||
\(865\) | −0.241017 | + | 2.29312i | −0.00819482 | + | 0.0779685i | ||||
\(866\) | −2.40126 | − | 22.8465i | −0.0815982 | − | 0.776355i | ||||
\(867\) | 0.341645 | − | 1.05147i | 0.0116029 | − | 0.0357100i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 13.0768 | + | 7.39477i | 0.443599 | + | 0.250850i | ||||
\(870\) | 0.201760 | − | 0.349459i | 0.00684031 | − | 0.0118478i | ||||
\(871\) | −8.12120 | + | 1.72621i | −0.275176 | + | 0.0584905i | ||||
\(872\) | 13.0209 | + | 5.79730i | 0.440945 | + | 0.196321i | ||||
\(873\) | 21.6542 | − | 9.64106i | 0.732883 | − | 0.326300i | ||||
\(874\) | 2.72992 | + | 8.40184i | 0.0923411 | + | 0.284197i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 3.89985 | + | 2.83341i | 0.131764 | + | 0.0957321i | ||||
\(877\) | 2.35107 | + | 22.3689i | 0.0793899 | + | 0.755344i | 0.959715 | + | 0.280974i | \(0.0906575\pi\) |
−0.880326 | + | 0.474370i | \(0.842676\pi\) | |||||||
\(878\) | −25.6025 | + | 5.44197i | −0.864041 | + | 0.183658i | ||||
\(879\) | 0.140630 | + | 0.243578i | 0.00474332 | + | 0.00821568i | ||||
\(880\) | 0.542522 | + | 0.0521213i | 0.0182884 | + | 0.00175701i | ||||
\(881\) | 7.06565 | 0.238048 | 0.119024 | − | 0.992891i | \(-0.462023\pi\) | ||||
0.119024 | + | 0.992891i | \(0.462023\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 16.1304 | − | 11.7194i | 0.542830 | − | 0.394389i | −0.282305 | − | 0.959325i | \(-0.591099\pi\) |
0.825135 | + | 0.564936i | \(0.191099\pi\) | |||||||
\(884\) | 36.0827 | − | 16.0650i | 1.21359 | − | 0.540326i | ||||
\(885\) | 0.877234 | − | 0.974267i | 0.0294879 | − | 0.0327496i | ||||
\(886\) | −5.37236 | + | 5.96661i | −0.180488 | + | 0.200452i | ||||
\(887\) | 6.35353 | − | 2.82878i | 0.213331 | − | 0.0949810i | −0.297289 | − | 0.954787i | \(-0.596083\pi\) |
0.510620 | + | 0.859806i | \(0.329416\pi\) | |||||||
\(888\) | 7.46253 | − | 5.42185i | 0.250426 | − | 0.181945i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 1.37045 | 0.0459376 | ||||||||
\(891\) | −4.10160 | − | 18.4823i | −0.137409 | − | 0.619181i | ||||
\(892\) | 0.499068 | + | 0.864411i | 0.0167100 | + | 0.0289426i | ||||
\(893\) | −17.2377 | + | 3.66398i | −0.576837 | + | 0.122610i | ||||
\(894\) | −0.363135 | − | 3.45500i | −0.0121450 | − | 0.115552i | ||||
\(895\) | −4.21414 | − | 3.06175i | −0.140863 | − | 0.102343i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −4.86088 | − | 14.9602i | −0.162300 | − | 0.499508i | ||||
\(898\) | 1.95881 | − | 0.872120i | 0.0653664 | − | 0.0291030i | ||||
\(899\) | 23.7533 | + | 10.5756i | 0.792216 | + | 0.352717i | ||||
\(900\) | 17.6914 | − | 3.76043i | 0.589715 | − | 0.125348i | ||||
\(901\) | −3.72325 | + | 6.44886i | −0.124039 | + | 0.214843i | ||||
\(902\) | −3.42822 | + | 0.391342i | −0.114147 | + | 0.0130303i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −13.4575 | + | 41.4179i | −0.447590 | + | 1.37754i | ||||
\(905\) | −0.319026 | − | 3.03533i | −0.0106048 | − | 0.100898i | ||||
\(906\) | 0.408833 | − | 3.88979i | 0.0135826 | − | 0.129230i | ||||
\(907\) | −15.6845 | + | 17.4194i | −0.520796 | + | 0.578402i | −0.944961 | − | 0.327182i | \(-0.893901\pi\) |
0.424165 | + | 0.905585i | \(0.360568\pi\) | |||||||
\(908\) | −7.26413 | − | 1.54404i | −0.241069 | − | 0.0512407i | ||||
\(909\) | −40.6878 | − | 29.5614i | −1.34953 | − | 0.980490i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 14.4650 | − | 44.5186i | 0.479246 | − | 1.47497i | −0.360899 | − | 0.932605i | \(-0.617530\pi\) |
0.840145 | − | 0.542362i | \(-0.182470\pi\) | |||||||
\(912\) | −0.665238 | + | 1.15223i | −0.0220282 | + | 0.0381540i | ||||
\(913\) | −22.2671 | − | 30.0788i | −0.736934 | − | 0.995462i | ||||
\(914\) | −15.6782 | − | 27.1554i | −0.518588 | − | 0.898220i | ||||
\(915\) | 0.886103 | + | 0.984117i | 0.0292937 | + | 0.0325339i | ||||
\(916\) | −7.46078 | + | 5.42058i | −0.246511 | + | 0.179101i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −3.61594 | − | 11.1287i | −0.119344 | − | 0.367302i | ||||
\(919\) | −10.3951 | − | 2.20954i | −0.342902 | − | 0.0728861i | 0.0332419 | − | 0.999447i | \(-0.489417\pi\) |
−0.376144 | + | 0.926561i | \(0.622750\pi\) | |||||||
\(920\) | −0.239348 | + | 2.27725i | −0.00789108 | + | 0.0750786i | ||||
\(921\) | −4.53702 | − | 2.02001i | −0.149500 | − | 0.0665616i | ||||
\(922\) | 17.8052 | + | 19.7747i | 0.586383 | + | 0.651245i | ||||
\(923\) | −60.7848 | −2.00075 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 27.9876 | 0.920228 | ||||||||
\(926\) | −0.367990 | − | 0.408695i | −0.0120929 | − | 0.0134305i | ||||
\(927\) | −38.8370 | − | 17.2914i | −1.27558 | − | 0.567923i | ||||
\(928\) | −2.30938 | + | 21.9723i | −0.0758091 | + | 0.721275i | ||||
\(929\) | 35.8696 | + | 7.62432i | 1.17684 | + | 0.250146i | 0.754506 | − | 0.656293i | \(-0.227876\pi\) |
0.422337 | + | 0.906439i | \(0.361210\pi\) | |||||||
\(930\) | −0.227635 | − | 0.700590i | −0.00746446 | − | 0.0229733i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −10.7900 | + | 7.83938i | −0.353438 | + | 0.256787i | ||||
\(933\) | 0.0566412 | + | 0.0629064i | 0.00185435 | + | 0.00205946i | ||||
\(934\) | −11.1151 | − | 19.2519i | −0.363697 | − | 0.629941i | ||||
\(935\) | 1.85708 | − | 2.60471i | 0.0607330 | − | 0.0851833i | ||||
\(936\) | 22.5645 | − | 39.0829i | 0.737544 | − | 1.27746i | ||||
\(937\) | −12.4278 | + | 38.2490i | −0.406000 | + | 1.24954i | 0.514057 | + | 0.857756i | \(0.328142\pi\) |
−0.920057 | + | 0.391784i | \(0.871858\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 7.64497 | + | 5.55439i | 0.249484 | + | 0.181261i | ||||
\(940\) | −1.83627 | − | 0.390310i | −0.0598924 | − | 0.0127305i | ||||
\(941\) | 16.6678 | − | 18.5115i | 0.543355 | − | 0.603457i | −0.407457 | − | 0.913224i | \(-0.633584\pi\) |
0.950812 | + | 0.309767i | \(0.100251\pi\) | |||||||
\(942\) | 1.01215 | − | 9.62995i | 0.0329776 | − | 0.313761i | ||||
\(943\) | 0.545210 | + | 5.18732i | 0.0177545 | + | 0.168922i | ||||
\(944\) | −2.17555 | + | 6.69565i | −0.0708081 | + | 0.217925i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −10.5680 | − | 5.97609i | −0.343595 | − | 0.194299i | ||||
\(947\) | 16.1031 | − | 27.8913i | 0.523279 | − | 0.906347i | −0.476353 | − | 0.879254i | \(-0.658042\pi\) |
0.999633 | − | 0.0270927i | \(-0.00862493\pi\) | |||||||
\(948\) | −3.82126 | + | 0.812234i | −0.124109 | + | 0.0263801i | ||||
\(949\) | 33.3393 | + | 14.8436i | 1.08224 | + | 0.481843i | ||||
\(950\) | 10.2497 | − | 4.56344i | 0.332543 | − | 0.148058i | ||||
\(951\) | −6.30101 | − | 19.3925i | −0.204324 | − | 0.628846i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −36.4552 | − | 26.4863i | −1.18090 | − | 0.857975i | −0.188628 | − | 0.982049i | \(-0.560404\pi\) |
−0.992273 | + | 0.124074i | \(0.960404\pi\) | |||||||
\(954\) | 0.365513 | + | 3.47763i | 0.0118339 | + | 0.112592i | ||||
\(955\) | −2.61727 | + | 0.556317i | −0.0846928 | + | 0.0180020i | ||||
\(956\) | 18.7325 | + | 32.4456i | 0.605852 | + | 1.04937i | ||||
\(957\) | −5.79493 | − | 5.12470i | −0.187323 | − | 0.165658i | ||||
\(958\) | 3.96296 | 0.128038 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0.342058 | − | 0.248519i | 0.0110399 | − | 0.00802093i | ||||
\(961\) | 15.0428 | − | 6.69746i | 0.485250 | − | 0.216047i | ||||
\(962\) | 19.2045 | − | 21.3288i | 0.619179 | − | 0.687668i | ||||
\(963\) | 9.44812 | − | 10.4932i | 0.304461 | − | 0.338139i | ||||
\(964\) | −24.0521 | + | 10.7087i | −0.774666 | + | 0.344903i | ||||
\(965\) | 2.85941 | − | 2.07748i | 0.0920476 | − | 0.0668765i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1.81387 | 0.0583300 | 0.0291650 | − | 0.999575i | \(-0.490715\pi\) | ||||
0.0291650 | + | 0.999575i | \(0.490715\pi\) | |||||||
\(968\) | −8.47842 | + | 27.7743i | −0.272507 | + | 0.892701i | ||||
\(969\) | 3.90456 | + | 6.76290i | 0.125433 | + | 0.217256i | ||||
\(970\) | 1.53212 | − | 0.325662i | 0.0491934 | − | 0.0104564i | ||||
\(971\) | −2.40979 | − | 22.9276i | −0.0773338 | − | 0.735782i | −0.962642 | − | 0.270777i | \(-0.912719\pi\) |
0.885308 | − | 0.465005i | \(-0.153947\pi\) | |||||||
\(972\) | 15.7431 | + | 11.4380i | 0.504959 | + | 0.366874i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −7.01266 | − | 21.5827i | −0.224700 | − | 0.691555i | ||||
\(975\) | −18.2504 | + | 8.12562i | −0.584482 | + | 0.260228i | ||||
\(976\) | −6.49659 | − | 2.89247i | −0.207951 | − | 0.0925857i | ||||
\(977\) | 6.93946 | − | 1.47503i | 0.222013 | − | 0.0471903i | −0.0955620 | − | 0.995423i | \(-0.530465\pi\) |
0.317575 | + | 0.948233i | \(0.397131\pi\) | |||||||
\(978\) | 1.78618 | − | 3.09376i | 0.0571158 | − | 0.0989274i | ||||
\(979\) | 5.23244 | − | 25.7466i | 0.167229 | − | 0.822863i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −4.36789 | + | 13.4430i | −0.139456 | + | 0.429202i | ||||
\(982\) | 2.44978 | + | 23.3081i | 0.0781755 | + | 0.743790i | ||||
\(983\) | −4.00869 | + | 38.1402i | −0.127857 | + | 1.21648i | 0.722911 | + | 0.690941i | \(0.242804\pi\) |
−0.850768 | + | 0.525541i | \(0.823863\pi\) | |||||||
\(984\) | 1.46087 | − | 1.62246i | 0.0465710 | − | 0.0517223i | ||||
\(985\) | 2.67790 | + | 0.569206i | 0.0853251 | + | 0.0181364i | ||||
\(986\) | 10.2896 | + | 7.47586i | 0.327689 | + | 0.238080i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −8.20806 | + | 25.2618i | −0.261133 | + | 0.803685i | ||||
\(989\) | −9.17619 | + | 15.8936i | −0.291786 | + | 0.505388i | ||||
\(990\) | −0.0134314 | − | 1.50213i | −0.000426879 | − | 0.0477407i | ||||
\(991\) | −10.1361 | − | 17.5562i | −0.321984 | − | 0.557692i | 0.658914 | − | 0.752219i | \(-0.271016\pi\) |
−0.980897 | + | 0.194527i | \(0.937683\pi\) | |||||||
\(992\) | 26.9876 | + | 29.9728i | 0.856857 | + | 0.951636i | ||||
\(993\) | −14.7667 | + | 10.7287i | −0.468608 | + | 0.340464i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1.04940 | − | 3.22971i | −0.0332681 | − | 0.102389i | ||||
\(996\) | 9.51933 | + | 2.02340i | 0.301631 | + | 0.0641137i | ||||
\(997\) | −1.61086 | + | 15.3263i | −0.0510164 | + | 0.485389i | 0.938947 | + | 0.344063i | \(0.111803\pi\) |
−0.989963 | + | 0.141326i | \(0.954863\pi\) | |||||||
\(998\) | −4.22683 | − | 1.88191i | −0.133798 | − | 0.0595707i | ||||
\(999\) | 13.1349 | + | 14.5878i | 0.415569 | + | 0.461536i |
(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 | 539.2.q.c.471.1 | 16 | ||
7.2 | even | 3 | 77.2.f.a.64.1 | ✓ | 8 | ||
7.3 | odd | 6 | 539.2.q.b.361.2 | 16 | |||
7.4 | even | 3 | inner | 539.2.q.c.361.2 | 16 | ||
7.5 | odd | 6 | 539.2.f.d.295.1 | 8 | |||
7.6 | odd | 2 | 539.2.q.b.471.1 | 16 | |||
11.5 | even | 5 | inner | 539.2.q.c.324.2 | 16 | ||
21.2 | odd | 6 | 693.2.m.g.64.2 | 8 | |||
77.2 | odd | 30 | 847.2.f.s.729.1 | 8 | |||
77.5 | odd | 30 | 539.2.f.d.148.1 | 8 | |||
77.9 | even | 15 | 847.2.f.p.729.2 | 8 | |||
77.16 | even | 15 | 77.2.f.a.71.1 | yes | 8 | ||
77.26 | odd | 30 | 5929.2.a.bi.1.2 | 4 | |||
77.27 | odd | 10 | 539.2.q.b.324.2 | 16 | |||
77.30 | odd | 30 | 847.2.f.s.323.1 | 8 | |||
77.37 | even | 15 | 847.2.a.l.1.2 | 4 | |||
77.38 | odd | 30 | 539.2.q.b.214.1 | 16 | |||
77.40 | even | 30 | 5929.2.a.bb.1.3 | 4 | |||
77.51 | odd | 30 | 847.2.a.k.1.3 | 4 | |||
77.58 | even | 15 | 847.2.f.p.323.2 | 8 | |||
77.60 | even | 15 | inner | 539.2.q.c.214.1 | 16 | ||
77.65 | odd | 6 | 847.2.f.q.372.2 | 8 | |||
77.72 | odd | 30 | 847.2.f.q.148.2 | 8 | |||
231.128 | even | 30 | 7623.2.a.co.1.2 | 4 | |||
231.170 | odd | 30 | 693.2.m.g.379.2 | 8 | |||
231.191 | odd | 30 | 7623.2.a.ch.1.3 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
77.2.f.a.64.1 | ✓ | 8 | 7.2 | even | 3 | ||
77.2.f.a.71.1 | yes | 8 | 77.16 | even | 15 | ||
539.2.f.d.148.1 | 8 | 77.5 | odd | 30 | |||
539.2.f.d.295.1 | 8 | 7.5 | odd | 6 | |||
539.2.q.b.214.1 | 16 | 77.38 | odd | 30 | |||
539.2.q.b.324.2 | 16 | 77.27 | odd | 10 | |||
539.2.q.b.361.2 | 16 | 7.3 | odd | 6 | |||
539.2.q.b.471.1 | 16 | 7.6 | odd | 2 | |||
539.2.q.c.214.1 | 16 | 77.60 | even | 15 | inner | ||
539.2.q.c.324.2 | 16 | 11.5 | even | 5 | inner | ||
539.2.q.c.361.2 | 16 | 7.4 | even | 3 | inner | ||
539.2.q.c.471.1 | 16 | 1.1 | even | 1 | trivial | ||
693.2.m.g.64.2 | 8 | 21.2 | odd | 6 | |||
693.2.m.g.379.2 | 8 | 231.170 | odd | 30 | |||
847.2.a.k.1.3 | 4 | 77.51 | odd | 30 | |||
847.2.a.l.1.2 | 4 | 77.37 | even | 15 | |||
847.2.f.p.323.2 | 8 | 77.58 | even | 15 | |||
847.2.f.p.729.2 | 8 | 77.9 | even | 15 | |||
847.2.f.q.148.2 | 8 | 77.72 | odd | 30 | |||
847.2.f.q.372.2 | 8 | 77.65 | odd | 6 | |||
847.2.f.s.323.1 | 8 | 77.30 | odd | 30 | |||
847.2.f.s.729.1 | 8 | 77.2 | odd | 30 | |||
5929.2.a.bb.1.3 | 4 | 77.40 | even | 30 | |||
5929.2.a.bi.1.2 | 4 | 77.26 | odd | 30 | |||
7623.2.a.ch.1.3 | 4 | 231.191 | odd | 30 | |||
7623.2.a.co.1.2 | 4 | 231.128 | even | 30 |