Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(104,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.104");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.z (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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 104.10 | ||
Character | \(\chi\) | \(=\) | 315.104 |
Dual form | 315.2.z.b.209.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.938003 | − | 1.62467i | −0.663268 | − | 1.14881i | −0.979752 | − | 0.200217i | \(-0.935835\pi\) |
0.316483 | − | 0.948598i | \(-0.397498\pi\) | |||||||
\(3\) | 1.62365 | + | 0.603134i | 0.937413 | + | 0.348219i | ||||
\(4\) | −0.759700 | + | 1.31584i | −0.379850 | + | 0.657920i | ||||
\(5\) | 1.09295 | − | 1.95076i | 0.488781 | − | 0.872406i | ||||
\(6\) | −0.543094 | − | 3.20363i | −0.221717 | − | 1.30788i | ||||
\(7\) | −0.0240802 | − | 2.64564i | −0.00910147 | − | 0.999959i | ||||
\(8\) | −0.901609 | −0.318767 | ||||||||
\(9\) | 2.27246 | + | 1.95855i | 0.757487 | + | 0.652851i | ||||
\(10\) | −4.19453 | + | 0.0541402i | −1.32643 | + | 0.0171206i | ||||
\(11\) | 1.72215 | − | 0.994281i | 0.519246 | − | 0.299787i | −0.217380 | − | 0.976087i | \(-0.569751\pi\) |
0.736626 | + | 0.676300i | \(0.236418\pi\) | |||||||
\(12\) | −2.02711 | + | 1.67826i | −0.585177 | + | 0.484471i | ||||
\(13\) | −2.28487 | + | 3.95751i | −0.633709 | + | 1.09762i | 0.353078 | + | 0.935594i | \(0.385135\pi\) |
−0.986787 | + | 0.162022i | \(0.948198\pi\) | |||||||
\(14\) | −4.27571 | + | 2.52074i | −1.14273 | + | 0.673697i | ||||
\(15\) | 2.95113 | − | 2.50815i | 0.761979 | − | 0.647602i | ||||
\(16\) | 2.36511 | + | 4.09649i | 0.591278 | + | 1.02412i | ||||
\(17\) | − | 6.36210i | − | 1.54304i | −0.636207 | − | 0.771519i | \(-0.719498\pi\) | ||
0.636207 | − | 0.771519i | \(-0.280502\pi\) | |||||||
\(18\) | 1.05043 | − | 5.52912i | 0.247588 | − | 1.30323i | ||||
\(19\) | 2.43428i | 0.558463i | 0.960224 | + | 0.279231i | \(0.0900796\pi\) | ||||
−0.960224 | + | 0.279231i | \(0.909920\pi\) | |||||||
\(20\) | 1.73657 | + | 2.92014i | 0.388310 | + | 0.652962i | ||||
\(21\) | 1.55658 | − | 4.31011i | 0.339673 | − | 0.940544i | ||||
\(22\) | −3.23076 | − | 1.86528i | −0.688799 | − | 0.397678i | ||||
\(23\) | 0.00774549 | − | 0.0134156i | 0.00161505 | − | 0.00279734i | −0.865217 | − | 0.501398i | \(-0.832819\pi\) |
0.866832 | + | 0.498601i | \(0.166153\pi\) | |||||||
\(24\) | −1.46389 | − | 0.543790i | −0.298816 | − | 0.111001i | ||||
\(25\) | −2.61093 | − | 4.26416i | −0.522186 | − | 0.852832i | ||||
\(26\) | 8.57286 | 1.68128 | ||||||||
\(27\) | 2.50840 | + | 4.55059i | 0.482742 | + | 0.875762i | ||||
\(28\) | 3.49953 | + | 1.97821i | 0.661349 | + | 0.373846i | ||||
\(29\) | 4.97858 | − | 2.87439i | 0.924500 | − | 0.533760i | 0.0394318 | − | 0.999222i | \(-0.487445\pi\) |
0.885068 | + | 0.465462i | \(0.154112\pi\) | |||||||
\(30\) | −6.84309 | − | 2.44196i | −1.24937 | − | 0.445838i | ||||
\(31\) | −4.68768 | − | 2.70644i | −0.841933 | − | 0.486090i | 0.0159878 | − | 0.999872i | \(-0.494911\pi\) |
−0.857921 | + | 0.513782i | \(0.828244\pi\) | |||||||
\(32\) | 3.53536 | − | 6.12342i | 0.624969 | − | 1.08248i | ||||
\(33\) | 3.39584 | − | 0.575678i | 0.591140 | − | 0.100213i | ||||
\(34\) | −10.3363 | + | 5.96767i | −1.77266 | + | 1.02345i | ||||
\(35\) | −5.18733 | − | 2.84457i | −0.876819 | − | 0.480821i | ||||
\(36\) | −4.30353 | + | 1.50228i | −0.717255 | + | 0.250380i | ||||
\(37\) | 11.1208i | 1.82824i | 0.405442 | + | 0.914121i | \(0.367118\pi\) | ||||
−0.405442 | + | 0.914121i | \(0.632882\pi\) | |||||||
\(38\) | 3.95490 | − | 2.28336i | 0.641570 | − | 0.370411i | ||||
\(39\) | −6.09673 | + | 5.04752i | −0.976258 | + | 0.808250i | ||||
\(40\) | −0.985411 | + | 1.75882i | −0.155807 | + | 0.278094i | ||||
\(41\) | −3.35005 | + | 5.80246i | −0.523190 | + | 0.906192i | 0.476446 | + | 0.879204i | \(0.341925\pi\) |
−0.999636 | + | 0.0269879i | \(0.991408\pi\) | |||||||
\(42\) | −8.46258 | + | 1.51397i | −1.30580 | + | 0.233611i | ||||
\(43\) | 7.95328 | − | 4.59183i | 1.21286 | − | 0.700247i | 0.249482 | − | 0.968379i | \(-0.419740\pi\) |
0.963382 | + | 0.268132i | \(0.0864063\pi\) | |||||||
\(44\) | 3.02142i | 0.455496i | ||||||||
\(45\) | 6.30435 | − | 2.29243i | 0.939796 | − | 0.341735i | ||||
\(46\) | −0.0290612 | −0.00428483 | ||||||||
\(47\) | −4.89285 | + | 2.82489i | −0.713696 | + | 0.412052i | −0.812428 | − | 0.583062i | \(-0.801855\pi\) |
0.0987323 | + | 0.995114i | \(0.468521\pi\) | |||||||
\(48\) | 1.36937 | + | 8.07774i | 0.197652 | + | 1.16592i | ||||
\(49\) | −6.99884 | + | 0.127415i | −0.999834 | + | 0.0182022i | ||||
\(50\) | −4.47879 | + | 8.24169i | −0.633396 | + | 1.16555i | ||||
\(51\) | 3.83720 | − | 10.3298i | 0.537315 | − | 1.44646i | ||||
\(52\) | −3.47163 | − | 6.01304i | −0.481429 | − | 0.833859i | ||||
\(53\) | 1.35986 | 0.186791 | 0.0933955 | − | 0.995629i | \(-0.470228\pi\) | ||||
0.0933955 | + | 0.995629i | \(0.470228\pi\) | |||||||
\(54\) | 5.04032 | − | 8.34380i | 0.685901 | − | 1.13545i | ||||
\(55\) | −0.0573885 | − | 4.44619i | −0.00773826 | − | 0.599524i | ||||
\(56\) | 0.0217109 | + | 2.38533i | 0.00290125 | + | 0.318754i | ||||
\(57\) | −1.46820 | + | 3.95241i | −0.194467 | + | 0.523510i | ||||
\(58\) | −9.33985 | − | 5.39237i | −1.22638 | − | 0.708052i | ||||
\(59\) | −1.12770 | + | 1.95323i | −0.146814 | + | 0.254289i | −0.930048 | − | 0.367438i | \(-0.880235\pi\) |
0.783234 | + | 0.621727i | \(0.213569\pi\) | |||||||
\(60\) | 1.05835 | + | 5.78866i | 0.136632 | + | 0.747312i | ||||
\(61\) | 7.04872 | − | 4.06958i | 0.902495 | − | 0.521056i | 0.0244865 | − | 0.999700i | \(-0.492205\pi\) |
0.878009 | + | 0.478644i | \(0.158872\pi\) | |||||||
\(62\) | 10.1546i | 1.28963i | ||||||||
\(63\) | 5.12691 | − | 6.05928i | 0.645929 | − | 0.763397i | ||||
\(64\) | −3.80426 | −0.475532 | ||||||||
\(65\) | 5.22291 | + | 8.78258i | 0.647822 | + | 1.08935i | ||||
\(66\) | −4.12059 | − | 4.97713i | −0.507210 | − | 0.612642i | ||||
\(67\) | 9.56621 | + | 5.52305i | 1.16870 | + | 0.674748i | 0.953373 | − | 0.301794i | \(-0.0975855\pi\) |
0.215325 | + | 0.976542i | \(0.430919\pi\) | |||||||
\(68\) | 8.37151 | + | 4.83329i | 1.01519 | + | 0.586123i | ||||
\(69\) | 0.0206673 | − | 0.0171106i | 0.00248805 | − | 0.00205987i | ||||
\(70\) | 0.244241 | + | 11.0959i | 0.0291923 | + | 1.32622i | ||||
\(71\) | 7.78322i | 0.923698i | 0.886958 | + | 0.461849i | \(0.152814\pi\) | ||||
−0.886958 | + | 0.461849i | \(0.847186\pi\) | |||||||
\(72\) | −2.04887 | − | 1.76585i | −0.241462 | − | 0.208107i | ||||
\(73\) | 5.71111 | 0.668435 | 0.334217 | − | 0.942496i | \(-0.391528\pi\) | ||||
0.334217 | + | 0.942496i | \(0.391528\pi\) | |||||||
\(74\) | 18.0676 | − | 10.4313i | 2.10031 | − | 1.21262i | ||||
\(75\) | −1.66737 | − | 8.49823i | −0.192531 | − | 0.981291i | ||||
\(76\) | −3.20312 | − | 1.84932i | −0.367423 | − | 0.212132i | ||||
\(77\) | −2.67198 | − | 4.53224i | −0.304500 | − | 0.516496i | ||||
\(78\) | 13.9193 | + | 5.17058i | 1.57605 | + | 0.585453i | ||||
\(79\) | 1.56365 | + | 2.70833i | 0.175925 | + | 0.304711i | 0.940481 | − | 0.339846i | \(-0.110375\pi\) |
−0.764556 | + | 0.644557i | \(0.777042\pi\) | |||||||
\(80\) | 10.5762 | − | 0.136511i | 1.18246 | − | 0.0152624i | ||||
\(81\) | 1.32815 | + | 8.90146i | 0.147572 | + | 0.989051i | ||||
\(82\) | 12.5694 | 1.38806 | ||||||||
\(83\) | 3.26803 | − | 1.88680i | 0.358713 | − | 0.207103i | −0.309803 | − | 0.950801i | \(-0.600263\pi\) |
0.668516 | + | 0.743698i | \(0.266930\pi\) | |||||||
\(84\) | 4.48888 | + | 5.32260i | 0.489777 | + | 0.580743i | ||||
\(85\) | −12.4109 | − | 6.95345i | −1.34616 | − | 0.754208i | ||||
\(86\) | −14.9204 | − | 8.61430i | −1.60891 | − | 0.928904i | ||||
\(87\) | 9.81710 | − | 1.66424i | 1.05250 | − | 0.178425i | ||||
\(88\) | −1.55270 | + | 0.896452i | −0.165518 | + | 0.0955621i | ||||
\(89\) | −2.80146 | −0.296954 | −0.148477 | − | 0.988916i | \(-0.547437\pi\) | ||||
−0.148477 | + | 0.988916i | \(0.547437\pi\) | |||||||
\(90\) | −9.63793 | − | 8.09217i | −1.01593 | − | 0.852990i | ||||
\(91\) | 10.5252 | + | 5.94965i | 1.10334 | + | 0.623693i | ||||
\(92\) | 0.0117685 | + | 0.0203836i | 0.00122695 | + | 0.00212514i | ||||
\(93\) | −5.97880 | − | 7.22160i | −0.619973 | − | 0.748845i | ||||
\(94\) | 9.17902 | + | 5.29951i | 0.946743 | + | 0.546603i | ||||
\(95\) | 4.74870 | + | 2.66054i | 0.487206 | + | 0.272966i | ||||
\(96\) | 9.43341 | − | 7.80998i | 0.962793 | − | 0.797102i | ||||
\(97\) | 4.13759 | + | 7.16652i | 0.420109 | + | 0.727650i | 0.995950 | − | 0.0899118i | \(-0.0286585\pi\) |
−0.575841 | + | 0.817562i | \(0.695325\pi\) | |||||||
\(98\) | 6.77194 | + | 11.2513i | 0.684069 | + | 1.13655i | ||||
\(99\) | 5.86086 | + | 1.11345i | 0.589038 | + | 0.111906i | ||||
\(100\) | 7.59447 | − | 0.196081i | 0.759447 | − | 0.0196081i | ||||
\(101\) | 0.942877 | + | 1.63311i | 0.0938198 | + | 0.162501i | 0.909115 | − | 0.416544i | \(-0.136759\pi\) |
−0.815296 | + | 0.579045i | \(0.803426\pi\) | |||||||
\(102\) | −20.3818 | + | 3.45522i | −2.01810 | + | 0.342118i | ||||
\(103\) | 0.522627 | − | 0.905216i | 0.0514959 | − | 0.0891936i | −0.839128 | − | 0.543933i | \(-0.816934\pi\) |
0.890624 | + | 0.454740i | \(0.150268\pi\) | |||||||
\(104\) | 2.06006 | − | 3.56812i | 0.202005 | − | 0.349883i | ||||
\(105\) | −6.70674 | − | 7.74724i | −0.654510 | − | 0.756053i | ||||
\(106\) | −1.27555 | − | 2.20932i | −0.123893 | − | 0.214588i | ||||
\(107\) | 11.7173 | 1.13275 | 0.566376 | − | 0.824147i | \(-0.308345\pi\) | ||||
0.566376 | + | 0.824147i | \(0.308345\pi\) | |||||||
\(108\) | −7.89348 | − | 0.156431i | −0.759551 | − | 0.0150526i | ||||
\(109\) | −18.1511 | −1.73856 | −0.869281 | − | 0.494319i | \(-0.835418\pi\) | ||||
−0.869281 | + | 0.494319i | \(0.835418\pi\) | |||||||
\(110\) | −7.16976 | + | 4.26378i | −0.683609 | + | 0.406535i | ||||
\(111\) | −6.70731 | + | 18.0562i | −0.636629 | + | 1.71382i | ||||
\(112\) | 10.7809 | − | 6.35588i | 1.01870 | − | 0.600574i | ||||
\(113\) | −5.75934 | + | 9.97546i | −0.541793 | + | 0.938413i | 0.457008 | + | 0.889462i | \(0.348921\pi\) |
−0.998801 | + | 0.0489502i | \(0.984412\pi\) | |||||||
\(114\) | 7.79854 | − | 1.32204i | 0.730400 | − | 0.123821i | ||||
\(115\) | −0.0177052 | − | 0.0297721i | −0.00165101 | − | 0.00277626i | ||||
\(116\) | 8.73468i | 0.810995i | ||||||||
\(117\) | −12.9433 | + | 4.51824i | −1.19661 | + | 0.417712i | ||||
\(118\) | 4.23114 | 0.389508 | ||||||||
\(119\) | −16.8318 | + | 0.153201i | −1.54297 | + | 0.0140439i | ||||
\(120\) | −2.66076 | + | 2.26137i | −0.242893 | + | 0.206434i | ||||
\(121\) | −3.52281 | + | 6.10169i | −0.320256 | + | 0.554699i | ||||
\(122\) | −13.2234 | − | 7.63455i | −1.19719 | − | 0.691200i | ||||
\(123\) | −8.93896 | + | 7.40062i | −0.805999 | + | 0.667291i | ||||
\(124\) | 7.12247 | − | 4.11216i | 0.639617 | − | 0.369283i | ||||
\(125\) | −11.1720 | + | 0.432793i | −0.999250 | + | 0.0387102i | ||||
\(126\) | −14.6534 | − | 2.64591i | −1.30543 | − | 0.235716i | ||||
\(127\) | − | 2.53008i | − | 0.224509i | −0.993680 | − | 0.112254i | \(-0.964193\pi\) | ||
0.993680 | − | 0.112254i | \(-0.0358071\pi\) | |||||||
\(128\) | −3.50231 | − | 6.06618i | −0.309563 | − | 0.536179i | ||||
\(129\) | 15.6828 | − | 2.65862i | 1.38079 | − | 0.234078i | ||||
\(130\) | 9.36969 | − | 16.7236i | 0.821776 | − | 1.46676i | ||||
\(131\) | −0.754568 | + | 1.30695i | −0.0659269 | + | 0.114189i | −0.897105 | − | 0.441818i | \(-0.854334\pi\) |
0.831178 | + | 0.556007i | \(0.187667\pi\) | |||||||
\(132\) | −1.82232 | + | 4.90572i | −0.158613 | + | 0.426988i | ||||
\(133\) | 6.44024 | − | 0.0586180i | 0.558439 | − | 0.00508283i | ||||
\(134\) | − | 20.7226i | − | 1.79016i | ||||||
\(135\) | 11.6187 | + | 0.0802698i | 0.999976 | + | 0.00690853i | ||||
\(136\) | 5.73613i | 0.491869i | ||||||||
\(137\) | −3.18375 | − | 5.51442i | −0.272006 | − | 0.471129i | 0.697369 | − | 0.716712i | \(-0.254354\pi\) |
−0.969375 | + | 0.245583i | \(0.921021\pi\) | |||||||
\(138\) | −0.0471851 | − | 0.0175278i | −0.00401666 | − | 0.00149206i | ||||
\(139\) | 14.5759 | + | 8.41540i | 1.23631 | + | 0.713785i | 0.968338 | − | 0.249642i | \(-0.0803129\pi\) |
0.267973 | + | 0.963426i | \(0.413646\pi\) | |||||||
\(140\) | 7.68382 | − | 4.66467i | 0.649401 | − | 0.394236i | ||||
\(141\) | −9.64805 | + | 1.63558i | −0.812512 | + | 0.137741i | ||||
\(142\) | 12.6452 | − | 7.30069i | 1.06116 | − | 0.612660i | ||||
\(143\) | 9.08721i | 0.759911i | ||||||||
\(144\) | −2.64858 | + | 13.9413i | −0.220715 | + | 1.16178i | ||||
\(145\) | −0.165905 | − | 12.8536i | −0.0137777 | − | 1.06743i | ||||
\(146\) | −5.35704 | − | 9.27866i | −0.443352 | − | 0.767908i | ||||
\(147\) | −11.4405 | − | 4.01436i | −0.943596 | − | 0.331099i | ||||
\(148\) | −14.6331 | − | 8.44844i | −1.20284 | − | 0.694458i | ||||
\(149\) | −7.71964 | − | 4.45693i | −0.632417 | − | 0.365126i | 0.149270 | − | 0.988796i | \(-0.452308\pi\) |
−0.781688 | + | 0.623670i | \(0.785641\pi\) | |||||||
\(150\) | −12.2428 | + | 10.6803i | −0.999621 | + | 0.872042i | ||||
\(151\) | −5.74142 | − | 9.94442i | −0.467230 | − | 0.809266i | 0.532069 | − | 0.846701i | \(-0.321415\pi\) |
−0.999299 | + | 0.0374351i | \(0.988081\pi\) | |||||||
\(152\) | − | 2.19477i | − | 0.178019i | ||||||
\(153\) | 12.4605 | − | 14.4576i | 1.00737 | − | 1.16883i | ||||
\(154\) | −4.85706 | + | 8.59234i | −0.391393 | + | 0.692390i | ||||
\(155\) | −10.4030 | + | 6.18655i | −0.835589 | + | 0.496916i | ||||
\(156\) | −2.01004 | − | 11.8569i | −0.160932 | − | 0.949313i | ||||
\(157\) | −5.84027 | + | 10.1156i | −0.466104 | + | 0.807316i | −0.999251 | − | 0.0387068i | \(-0.987676\pi\) |
0.533146 | + | 0.846023i | \(0.321010\pi\) | |||||||
\(158\) | 2.93342 | − | 5.08084i | 0.233371 | − | 0.404210i | ||||
\(159\) | 2.20793 | + | 0.820176i | 0.175100 | + | 0.0650442i | ||||
\(160\) | −8.08136 | − | 13.5892i | −0.638887 | − | 1.07432i | ||||
\(161\) | −0.0356793 | − | 0.0201687i | −0.00281192 | − | 0.00158952i | ||||
\(162\) | 13.2161 | − | 10.5074i | 1.03836 | − | 0.825539i | ||||
\(163\) | − | 8.04946i | − | 0.630482i | −0.949012 | − | 0.315241i | \(-0.897915\pi\) | ||
0.949012 | − | 0.315241i | \(-0.102085\pi\) | |||||||
\(164\) | −5.09007 | − | 8.81626i | −0.397468 | − | 0.688434i | ||||
\(165\) | 2.58847 | − | 7.25365i | 0.201512 | − | 0.564696i | ||||
\(166\) | −6.13085 | − | 3.53965i | −0.475846 | − | 0.274730i | ||||
\(167\) | −11.8147 | − | 6.82123i | −0.914251 | − | 0.527843i | −0.0324544 | − | 0.999473i | \(-0.510332\pi\) |
−0.881796 | + | 0.471630i | \(0.843666\pi\) | |||||||
\(168\) | −1.40342 | + | 3.88603i | −0.108276 | + | 0.299814i | ||||
\(169\) | −3.94126 | − | 6.82645i | −0.303174 | − | 0.525112i | ||||
\(170\) | 0.344446 | + | 26.6860i | 0.0264178 | + | 2.04673i | ||||
\(171\) | −4.76767 | + | 5.53181i | −0.364593 | + | 0.423028i | ||||
\(172\) | 13.9537i | 1.06396i | ||||||||
\(173\) | −1.90414 | + | 1.09935i | −0.144769 | + | 0.0835824i | −0.570635 | − | 0.821204i | \(-0.693303\pi\) |
0.425866 | + | 0.904786i | \(0.359970\pi\) | |||||||
\(174\) | −11.9123 | − | 14.3885i | −0.903070 | − | 1.09079i | ||||
\(175\) | −11.2186 | + | 7.01027i | −0.848044 | + | 0.529926i | ||||
\(176\) | 8.14613 | + | 4.70317i | 0.614038 | + | 0.354515i | ||||
\(177\) | −3.00904 | + | 2.49121i | −0.226174 | + | 0.187250i | ||||
\(178\) | 2.62778 | + | 4.55144i | 0.196960 | + | 0.341145i | ||||
\(179\) | − | 8.92870i | − | 0.667363i | −0.942686 | − | 0.333681i | \(-0.891709\pi\) | ||
0.942686 | − | 0.333681i | \(-0.108291\pi\) | |||||||
\(180\) | −1.77295 | + | 10.0371i | −0.132148 | + | 0.748118i | ||||
\(181\) | − | 2.80304i | − | 0.208349i | −0.994559 | − | 0.104174i | \(-0.966780\pi\) | ||
0.994559 | − | 0.104174i | \(-0.0332200\pi\) | |||||||
\(182\) | −0.206436 | − | 22.6807i | −0.0153021 | − | 1.68121i | ||||
\(183\) | 13.8991 | − | 2.35624i | 1.02745 | − | 0.174178i | ||||
\(184\) | −0.00698340 | + | 0.0120956i | −0.000514823 | + | 0.000891699i | ||||
\(185\) | 21.6939 | + | 12.1544i | 1.59497 | + | 0.893610i | ||||
\(186\) | −6.12457 | + | 16.4875i | −0.449075 | + | 1.20892i | ||||
\(187\) | −6.32572 | − | 10.9565i | −0.462582 | − | 0.801216i | ||||
\(188\) | − | 8.58427i | − | 0.626072i | ||||||
\(189\) | 11.9788 | − | 6.74592i | 0.871332 | − | 0.490693i | ||||
\(190\) | −0.131792 | − | 10.2107i | −0.00956123 | − | 0.740759i | ||||
\(191\) | −2.67708 | + | 1.54562i | −0.193707 | + | 0.111837i | −0.593717 | − | 0.804674i | \(-0.702340\pi\) |
0.400010 | + | 0.916511i | \(0.369007\pi\) | |||||||
\(192\) | −6.17677 | − | 2.29447i | −0.445770 | − | 0.165589i | ||||
\(193\) | 2.45619 | + | 1.41808i | 0.176800 | + | 0.102076i | 0.585788 | − | 0.810464i | \(-0.300785\pi\) |
−0.408988 | + | 0.912540i | \(0.634118\pi\) | |||||||
\(194\) | 7.76215 | − | 13.4444i | 0.557290 | − | 0.965255i | ||||
\(195\) | 3.18309 | + | 17.4099i | 0.227946 | + | 1.24675i | ||||
\(196\) | 5.14936 | − | 9.30614i | 0.367812 | − | 0.664725i | ||||
\(197\) | −14.9273 | −1.06352 | −0.531762 | − | 0.846894i | \(-0.678470\pi\) | ||||
−0.531762 | + | 0.846894i | \(0.678470\pi\) | |||||||
\(198\) | −3.68852 | − | 10.5664i | −0.262132 | − | 0.750919i | ||||
\(199\) | − | 23.0264i | − | 1.63230i | −0.577842 | − | 0.816148i | \(-0.696105\pi\) | ||
0.577842 | − | 0.816148i | \(-0.303895\pi\) | |||||||
\(200\) | 2.35404 | + | 3.84460i | 0.166455 | + | 0.271854i | ||||
\(201\) | 12.2010 | + | 14.7372i | 0.860593 | + | 1.03948i | ||||
\(202\) | 1.76884 | − | 3.06373i | 0.124455 | − | 0.215563i | ||||
\(203\) | −7.72448 | − | 13.1023i | −0.542152 | − | 0.919603i | ||||
\(204\) | 10.6773 | + | 12.8967i | 0.747557 | + | 0.902949i | ||||
\(205\) | 7.65777 | + | 12.8769i | 0.534842 | + | 0.899364i | ||||
\(206\) | −1.96090 | −0.136623 | ||||||||
\(207\) | 0.0438764 | − | 0.0153164i | 0.00304962 | − | 0.00106456i | ||||
\(208\) | −21.6159 | −1.49879 | ||||||||
\(209\) | 2.42036 | + | 4.19219i | 0.167420 | + | 0.289980i | ||||
\(210\) | −6.29576 | + | 18.1632i | −0.434449 | + | 1.25338i | ||||
\(211\) | 5.31019 | − | 9.19753i | 0.365569 | − | 0.633184i | −0.623298 | − | 0.781984i | \(-0.714208\pi\) |
0.988867 | + | 0.148800i | \(0.0475411\pi\) | |||||||
\(212\) | −1.03308 | + | 1.78935i | −0.0709525 | + | 0.122893i | ||||
\(213\) | −4.69432 | + | 12.6372i | −0.321650 | + | 0.865887i | ||||
\(214\) | −10.9908 | − | 19.0367i | −0.751318 | − | 1.30132i | ||||
\(215\) | −0.265034 | − | 20.5336i | −0.0180752 | − | 1.40038i | ||||
\(216\) | −2.26160 | − | 4.10285i | −0.153882 | − | 0.279164i | ||||
\(217\) | −7.04738 | + | 12.4671i | −0.478407 | + | 0.846322i | ||||
\(218\) | 17.0258 | + | 29.4896i | 1.15313 | + | 1.99728i | ||||
\(219\) | 9.27283 | + | 3.44456i | 0.626599 | + | 0.232762i | ||||
\(220\) | 5.89407 | + | 3.30226i | 0.397378 | + | 0.222638i | ||||
\(221\) | 25.1781 | + | 14.5366i | 1.69366 | + | 0.977836i | ||||
\(222\) | 35.6268 | − | 6.03961i | 2.39112 | − | 0.405352i | ||||
\(223\) | −4.01295 | − | 6.95063i | −0.268727 | − | 0.465449i | 0.699806 | − | 0.714333i | \(-0.253270\pi\) |
−0.968533 | + | 0.248884i | \(0.919936\pi\) | |||||||
\(224\) | −16.2855 | − | 9.20583i | −1.08812 | − | 0.615091i | ||||
\(225\) | 2.41835 | − | 14.8038i | 0.161223 | − | 0.986918i | ||||
\(226\) | 21.6091 | 1.43742 | ||||||||
\(227\) | −4.95788 | + | 2.86243i | −0.329066 | + | 0.189986i | −0.655426 | − | 0.755259i | \(-0.727511\pi\) |
0.326360 | + | 0.945245i | \(0.394178\pi\) | |||||||
\(228\) | −4.08535 | − | 4.93456i | −0.270559 | − | 0.326799i | ||||
\(229\) | 6.34119 | + | 3.66109i | 0.419038 | + | 0.241932i | 0.694666 | − | 0.719333i | \(-0.255552\pi\) |
−0.275628 | + | 0.961264i | \(0.588886\pi\) | |||||||
\(230\) | −0.0317623 | + | 0.0566913i | −0.00209435 | + | 0.00373812i | ||||
\(231\) | −1.60481 | − | 8.97031i | −0.105589 | − | 0.590203i | ||||
\(232\) | −4.48873 | + | 2.59157i | −0.294700 | + | 0.170145i | ||||
\(233\) | −26.2522 | −1.71984 | −0.859919 | − | 0.510431i | \(-0.829486\pi\) | ||||
−0.859919 | + | 0.510431i | \(0.829486\pi\) | |||||||
\(234\) | 19.4815 | + | 16.7904i | 1.27354 | + | 1.09762i | ||||
\(235\) | 0.163048 | + | 12.6322i | 0.0106361 | + | 0.824036i | ||||
\(236\) | −1.71343 | − | 2.96774i | −0.111535 | − | 0.193183i | ||||
\(237\) | 0.905338 | + | 5.34046i | 0.0588080 | + | 0.346900i | ||||
\(238\) | 16.0372 | + | 27.2025i | 1.03954 | + | 1.76328i | ||||
\(239\) | 11.6421 | + | 6.72155i | 0.753063 | + | 0.434781i | 0.826799 | − | 0.562497i | \(-0.190159\pi\) |
−0.0737368 | + | 0.997278i | \(0.523492\pi\) | |||||||
\(240\) | 17.2544 | + | 6.15723i | 1.11377 | + | 0.397447i | ||||
\(241\) | 5.16398 | − | 2.98143i | 0.332641 | − | 0.192051i | −0.324372 | − | 0.945930i | \(-0.605153\pi\) |
0.657013 | + | 0.753879i | \(0.271820\pi\) | |||||||
\(242\) | 13.2176 | 0.849662 | ||||||||
\(243\) | −3.21233 | + | 15.2539i | −0.206071 | + | 0.978537i | ||||
\(244\) | 12.3666i | 0.791693i | ||||||||
\(245\) | −7.40081 | + | 13.7923i | −0.472821 | + | 0.881159i | ||||
\(246\) | 20.4083 | + | 7.58105i | 1.30119 | + | 0.483350i | ||||
\(247\) | −9.63369 | − | 5.56202i | −0.612977 | − | 0.353903i | ||||
\(248\) | 4.22646 | + | 2.44015i | 0.268380 | + | 0.154949i | ||||
\(249\) | 6.44412 | − | 1.09244i | 0.408380 | − | 0.0692303i | ||||
\(250\) | 11.1825 | + | 17.7448i | 0.707242 | + | 1.12228i | ||||
\(251\) | −5.42779 | −0.342599 | −0.171300 | − | 0.985219i | \(-0.554797\pi\) | ||||
−0.171300 | + | 0.985219i | \(0.554797\pi\) | |||||||
\(252\) | 4.07812 | + | 11.3494i | 0.256898 | + | 0.714946i | ||||
\(253\) | − | 0.0308048i | − | 0.00193668i | ||||||
\(254\) | −4.11055 | + | 2.37323i | −0.257919 | + | 0.148910i | ||||
\(255\) | −15.9571 | − | 18.7754i | −0.999274 | − | 1.17576i | ||||
\(256\) | −10.3746 | + | 17.9694i | −0.648413 | + | 1.12308i | ||||
\(257\) | 14.5364 | + | 8.39259i | 0.906755 | + | 0.523515i | 0.879386 | − | 0.476110i | \(-0.157954\pi\) |
0.0273696 | + | 0.999625i | \(0.491287\pi\) | |||||||
\(258\) | −19.0299 | − | 22.9856i | −1.18475 | − | 1.43102i | ||||
\(259\) | 29.4216 | − | 0.267790i | 1.82817 | − | 0.0166397i | ||||
\(260\) | −15.5243 | + | 0.200377i | −0.962777 | + | 0.0124269i | ||||
\(261\) | 16.9433 | + | 3.21889i | 1.04876 | + | 0.199244i | ||||
\(262\) | 2.83115 | 0.174909 | ||||||||
\(263\) | −12.8188 | − | 22.2028i | −0.790439 | − | 1.36908i | −0.925695 | − | 0.378270i | \(-0.876519\pi\) |
0.135256 | − | 0.990811i | \(-0.456814\pi\) | |||||||
\(264\) | −3.06172 | + | 0.519036i | −0.188436 | + | 0.0319445i | ||||
\(265\) | 1.48625 | − | 2.65276i | 0.0912999 | − | 0.162958i | ||||
\(266\) | −6.13620 | − | 10.4083i | −0.376234 | − | 0.638172i | ||||
\(267\) | −4.54858 | − | 1.68965i | −0.278369 | − | 0.103405i | ||||
\(268\) | −14.5349 | + | 8.39173i | −0.887860 | + | 0.512606i | ||||
\(269\) | −29.6439 | −1.80742 | −0.903710 | − | 0.428144i | \(-0.859168\pi\) | ||||
−0.903710 | + | 0.428144i | \(0.859168\pi\) | |||||||
\(270\) | −10.7679 | − | 18.9518i | −0.655316 | − | 1.15337i | ||||
\(271\) | 9.38040i | 0.569819i | 0.958554 | + | 0.284909i | \(0.0919635\pi\) | ||||
−0.958554 | + | 0.284909i | \(0.908036\pi\) | |||||||
\(272\) | 26.0623 | − | 15.0471i | 1.58026 | − | 0.912364i | ||||
\(273\) | 13.5007 | + | 16.0082i | 0.817102 | + | 0.968861i | ||||
\(274\) | −5.97274 | + | 10.3451i | −0.360826 | + | 0.624970i | ||||
\(275\) | −8.73617 | − | 4.74750i | −0.526811 | − | 0.286285i | ||||
\(276\) | 0.00681383 | + | 0.0401938i | 0.000410144 | + | 0.00241938i | ||||
\(277\) | 5.58263 | − | 3.22314i | 0.335428 | − | 0.193659i | −0.322820 | − | 0.946460i | \(-0.604631\pi\) |
0.658248 | + | 0.752801i | \(0.271298\pi\) | |||||||
\(278\) | − | 31.5747i | − | 1.89372i | ||||||
\(279\) | −5.35188 | − | 15.3313i | −0.320409 | − | 0.917863i | ||||
\(280\) | 4.67694 | + | 2.56469i | 0.279501 | + | 0.153270i | ||||
\(281\) | −4.83381 | + | 2.79080i | −0.288361 | + | 0.166485i | −0.637202 | − | 0.770696i | \(-0.719908\pi\) |
0.348841 | + | 0.937182i | \(0.386575\pi\) | |||||||
\(282\) | 11.7072 | + | 14.1407i | 0.697152 | + | 0.842067i | ||||
\(283\) | 4.49792 | − | 7.79062i | 0.267373 | − | 0.463104i | −0.700809 | − | 0.713349i | \(-0.747178\pi\) |
0.968183 | + | 0.250244i | \(0.0805109\pi\) | |||||||
\(284\) | −10.2415 | − | 5.91291i | −0.607719 | − | 0.350867i | ||||
\(285\) | 6.10555 | + | 7.18388i | 0.361662 | + | 0.425537i | ||||
\(286\) | 14.7637 | − | 8.52383i | 0.872996 | − | 0.504025i | ||||
\(287\) | 15.4319 | + | 8.72331i | 0.910916 | + | 0.514921i | ||||
\(288\) | 20.0270 | − | 6.99104i | 1.18010 | − | 0.411951i | ||||
\(289\) | −23.4764 | −1.38096 | ||||||||
\(290\) | −20.7272 | + | 12.3262i | −1.21714 | + | 0.723821i | ||||
\(291\) | 2.39562 | + | 14.1314i | 0.140434 | + | 0.828399i | ||||
\(292\) | −4.33873 | + | 7.51490i | −0.253905 | + | 0.439776i | ||||
\(293\) | −15.2457 | − | 8.80210i | −0.890662 | − | 0.514224i | −0.0165034 | − | 0.999864i | \(-0.505253\pi\) |
−0.874159 | + | 0.485640i | \(0.838587\pi\) | |||||||
\(294\) | 4.20922 | + | 22.3525i | 0.245486 | + | 1.30362i | ||||
\(295\) | 2.57777 | + | 4.33465i | 0.150084 | + | 0.252373i | ||||
\(296\) | − | 10.0266i | − | 0.582783i | ||||||
\(297\) | 8.84440 | + | 5.34273i | 0.513204 | + | 0.310016i | ||||
\(298\) | 16.7225i | 0.968707i | ||||||||
\(299\) | 0.0353948 | + | 0.0613057i | 0.00204694 | + | 0.00354540i | ||||
\(300\) | 12.4490 | + | 4.26211i | 0.718743 | + | 0.246073i | ||||
\(301\) | −12.3399 | − | 20.9310i | −0.711257 | − | 1.20644i | ||||
\(302\) | −10.7709 | + | 18.6558i | −0.619797 | + | 1.07352i | ||||
\(303\) | 0.545916 | + | 3.22028i | 0.0313620 | + | 0.185000i | ||||
\(304\) | −9.97202 | + | 5.75735i | −0.571935 | + | 0.330207i | ||||
\(305\) | −0.234890 | − | 18.1982i | −0.0134498 | − | 1.04203i | ||||
\(306\) | −35.1769 | − | 6.68292i | −2.01093 | − | 0.382037i | ||||
\(307\) | −2.48249 | −0.141683 | −0.0708416 | − | 0.997488i | \(-0.522568\pi\) | ||||
−0.0708416 | + | 0.997488i | \(0.522568\pi\) | |||||||
\(308\) | 7.99360 | − | 0.0727565i | 0.455477 | − | 0.00414569i | ||||
\(309\) | 1.39453 | − | 1.15454i | 0.0793319 | − | 0.0656793i | ||||
\(310\) | 19.8092 | + | 11.0984i | 1.12508 | + | 0.630348i | ||||
\(311\) | 12.9774 | − | 22.4774i | 0.735878 | − | 1.27458i | −0.218459 | − | 0.975846i | \(-0.570103\pi\) |
0.954337 | − | 0.298732i | \(-0.0965638\pi\) | |||||||
\(312\) | 5.49686 | − | 4.55088i | 0.311199 | − | 0.257643i | ||||
\(313\) | −10.1190 | − | 17.5265i | −0.571957 | − | 0.990659i | −0.996365 | − | 0.0851877i | \(-0.972851\pi\) |
0.424408 | − | 0.905471i | \(-0.360482\pi\) | |||||||
\(314\) | 21.9128 | 1.23661 | ||||||||
\(315\) | −6.21675 | − | 16.6238i | −0.350274 | − | 0.936647i | ||||
\(316\) | −4.75163 | −0.267300 | ||||||||
\(317\) | 5.21345 | + | 9.02996i | 0.292817 | + | 0.507173i | 0.974475 | − | 0.224498i | \(-0.0720741\pi\) |
−0.681658 | + | 0.731671i | \(0.738741\pi\) | |||||||
\(318\) | −0.738530 | − | 4.35648i | −0.0414147 | − | 0.244299i | ||||
\(319\) | 5.71589 | − | 9.90022i | 0.320029 | − | 0.554306i | ||||
\(320\) | −4.15785 | + | 7.42119i | −0.232431 | + | 0.414857i | ||||
\(321\) | 19.0247 | + | 7.06708i | 1.06186 | + | 0.394446i | ||||
\(322\) | 0.000699799 | 0.0768854i | 3.89983e−5 | 0.00428466i | ||||||
\(323\) | 15.4872 | 0.861728 | ||||||||
\(324\) | −12.7219 | − | 5.01482i | −0.706771 | − | 0.278601i | ||||
\(325\) | 22.8411 | − | 0.589733i | 1.26700 | − | 0.0327125i | ||||
\(326\) | −13.0777 | + | 7.55042i | −0.724307 | + | 0.418179i | ||||
\(327\) | −29.4710 | − | 10.9475i | −1.62975 | − | 0.605401i | ||||
\(328\) | 3.02043 | − | 5.23155i | 0.166776 | − | 0.288864i | ||||
\(329\) | 7.59146 | + | 12.8767i | 0.418531 | + | 0.709916i | ||||
\(330\) | −14.2128 | + | 2.59855i | −0.782388 | + | 0.143045i | ||||
\(331\) | −14.9466 | − | 25.8883i | −0.821542 | − | 1.42295i | −0.904534 | − | 0.426402i | \(-0.859781\pi\) |
0.0829919 | − | 0.996550i | \(-0.473552\pi\) | |||||||
\(332\) | 5.73360i | 0.314672i | ||||||||
\(333\) | −21.7806 | + | 25.2715i | −1.19357 | + | 1.38487i | ||||
\(334\) | 25.5934i | 1.40041i | ||||||||
\(335\) | 21.2295 | − | 12.6250i | 1.15989 | − | 0.689776i | ||||
\(336\) | 21.3378 | − | 3.81739i | 1.16407 | − | 0.208255i | ||||
\(337\) | −20.0363 | − | 11.5680i | −1.09145 | − | 0.630148i | −0.157486 | − | 0.987521i | \(-0.550339\pi\) |
−0.933962 | + | 0.357373i | \(0.883672\pi\) | |||||||
\(338\) | −7.39382 | + | 12.8065i | −0.402171 | + | 0.696580i | ||||
\(339\) | −15.3677 | + | 12.7230i | −0.834657 | + | 0.691018i | ||||
\(340\) | 18.5782 | − | 11.0483i | 1.00755 | − | 0.599176i | ||||
\(341\) | −10.7638 | −0.582894 | ||||||||
\(342\) | 13.4594 | + | 2.55703i | 0.727803 | + | 0.138268i | ||||
\(343\) | 0.505629 | + | 18.5134i | 0.0273014 | + | 0.999627i | ||||
\(344\) | −7.17075 | + | 4.14003i | −0.386621 | + | 0.223216i | ||||
\(345\) | −0.0107904 | − | 0.0590180i | −0.000580933 | − | 0.00317742i | ||||
\(346\) | 3.57218 | + | 2.06240i | 0.192041 | + | 0.110875i | ||||
\(347\) | 2.30614 | − | 3.99435i | 0.123800 | − | 0.214428i | −0.797463 | − | 0.603368i | \(-0.793825\pi\) |
0.921263 | + | 0.388940i | \(0.127159\pi\) | |||||||
\(348\) | −5.26818 | + | 14.1820i | −0.282404 | + | 0.760237i | ||||
\(349\) | −30.9578 | + | 17.8735i | −1.65713 | + | 0.956745i | −0.683101 | + | 0.730324i | \(0.739369\pi\) |
−0.974030 | + | 0.226421i | \(0.927297\pi\) | |||||||
\(350\) | 21.9124 | + | 11.6508i | 1.17127 | + | 0.622762i | ||||
\(351\) | −23.7404 | − | 0.470482i | −1.26717 | − | 0.0251125i | ||||
\(352\) | − | 14.0605i | − | 0.749430i | ||||||
\(353\) | −2.77278 | + | 1.60086i | −0.147580 | + | 0.0852054i | −0.571972 | − | 0.820273i | \(-0.693821\pi\) |
0.424392 | + | 0.905479i | \(0.360488\pi\) | |||||||
\(354\) | 6.86988 | + | 2.55194i | 0.365130 | + | 0.135634i | ||||
\(355\) | 15.1832 | + | 8.50666i | 0.805840 | + | 0.451486i | ||||
\(356\) | 2.12827 | − | 3.68627i | 0.112798 | − | 0.195372i | ||||
\(357\) | −27.4214 | − | 9.90311i | −1.45129 | − | 0.524128i | ||||
\(358\) | −14.5062 | + | 8.37515i | −0.766676 | + | 0.442641i | ||||
\(359\) | − | 25.4583i | − | 1.34364i | −0.740716 | − | 0.671818i | \(-0.765513\pi\) | ||
0.740716 | − | 0.671818i | \(-0.234487\pi\) | |||||||
\(360\) | −5.68405 | + | 2.06687i | −0.299576 | + | 0.108934i | ||||
\(361\) | 13.0743 | 0.688120 | ||||||||
\(362\) | −4.55402 | + | 2.62927i | −0.239354 | + | 0.138191i | ||||
\(363\) | −9.39993 | + | 7.78226i | −0.493369 | + | 0.408463i | ||||
\(364\) | −15.8248 | + | 9.32949i | −0.829442 | + | 0.488998i | ||||
\(365\) | 6.24195 | − | 11.1410i | 0.326718 | − | 0.583147i | ||||
\(366\) | −16.8655 | − | 20.3713i | −0.881576 | − | 1.06483i | ||||
\(367\) | 11.7133 | + | 20.2880i | 0.611427 | + | 1.05902i | 0.991000 | + | 0.133861i | \(0.0427376\pi\) |
−0.379573 | + | 0.925162i | \(0.623929\pi\) | |||||||
\(368\) | 0.0732758 | 0.00381976 | ||||||||
\(369\) | −18.9773 | + | 6.62460i | −0.987917 | + | 0.344863i | ||||
\(370\) | −0.602080 | − | 46.6463i | −0.0313007 | − | 2.42503i | ||||
\(371\) | −0.0327457 | − | 3.59770i | −0.00170007 | − | 0.186783i | ||||
\(372\) | 14.0446 | − | 2.38089i | 0.728176 | − | 0.123444i | ||||
\(373\) | −15.5861 | − | 8.99863i | −0.807017 | − | 0.465931i | 0.0389022 | − | 0.999243i | \(-0.487614\pi\) |
−0.845919 | + | 0.533312i | \(0.820947\pi\) | |||||||
\(374\) | −11.8671 | + | 20.5544i | −0.613633 | + | 1.06284i | ||||
\(375\) | −18.4004 | − | 6.03548i | −0.950190 | − | 0.311671i | ||||
\(376\) | 4.41144 | − | 2.54694i | 0.227502 | − | 0.131349i | ||||
\(377\) | 26.2704i | 1.35299i | ||||||||
\(378\) | −22.1961 | − | 13.1340i | −1.14164 | − | 0.675538i | ||||
\(379\) | −0.827213 | −0.0424911 | −0.0212455 | − | 0.999774i | \(-0.506763\pi\) | ||||
−0.0212455 | + | 0.999774i | \(0.506763\pi\) | |||||||
\(380\) | −7.10843 | + | 4.22731i | −0.364655 | + | 0.216856i | ||||
\(381\) | 1.52598 | − | 4.10796i | 0.0781783 | − | 0.210457i | ||||
\(382\) | 5.02223 | + | 2.89958i | 0.256959 | + | 0.148356i | ||||
\(383\) | 22.0310 | + | 12.7196i | 1.12573 | + | 0.649942i | 0.942858 | − | 0.333194i | \(-0.108126\pi\) |
0.182875 | + | 0.983136i | \(0.441460\pi\) | |||||||
\(384\) | −2.02780 | − | 11.9617i | −0.103481 | − | 0.610418i | ||||
\(385\) | −11.7616 | + | 0.258895i | −0.599429 | + | 0.0131945i | ||||
\(386\) | − | 5.32066i | − | 0.270814i | ||||||
\(387\) | 27.0669 | + | 5.14217i | 1.37589 | + | 0.261391i | ||||
\(388\) | −12.5733 | −0.638314 | ||||||||
\(389\) | 5.70871 | − | 3.29592i | 0.289443 | − | 0.167110i | −0.348248 | − | 0.937403i | \(-0.613223\pi\) |
0.637691 | + | 0.770293i | \(0.279890\pi\) | |||||||
\(390\) | 25.2996 | − | 21.5020i | 1.28110 | − | 1.08880i | ||||
\(391\) | −0.0853513 | − | 0.0492776i | −0.00431640 | − | 0.00249207i | ||||
\(392\) | 6.31021 | − | 0.114879i | 0.318714 | − | 0.00580225i | ||||
\(393\) | −2.01342 | + | 1.66692i | −0.101563 | + | 0.0840850i | ||||
\(394\) | 14.0018 | + | 24.2519i | 0.705402 | + | 1.22179i | ||||
\(395\) | 6.99229 | − | 0.0902518i | 0.351820 | − | 0.00454106i | ||||
\(396\) | −5.91761 | + | 6.86606i | −0.297371 | + | 0.345032i | ||||
\(397\) | 7.24750 | 0.363742 | 0.181871 | − | 0.983322i | \(-0.441785\pi\) | ||||
0.181871 | + | 0.983322i | \(0.441785\pi\) | |||||||
\(398\) | −37.4103 | + | 21.5988i | −1.87521 | + | 1.08265i | ||||
\(399\) | 10.4920 | + | 3.78915i | 0.525258 | + | 0.189695i | ||||
\(400\) | 11.2930 | − | 20.7809i | 0.564648 | − | 1.03904i | ||||
\(401\) | 21.6860 | + | 12.5204i | 1.08295 | + | 0.625239i | 0.931689 | − | 0.363256i | \(-0.118335\pi\) |
0.151256 | + | 0.988495i | \(0.451668\pi\) | |||||||
\(402\) | 12.4985 | − | 33.6461i | 0.623367 | − | 1.67812i | ||||
\(403\) | 21.4215 | − | 12.3677i | 1.06708 | − | 0.616079i | ||||
\(404\) | −2.86522 | −0.142550 | ||||||||
\(405\) | 18.8162 | + | 7.13794i | 0.934985 | + | 0.354687i | ||||
\(406\) | −14.0414 | + | 24.8398i | −0.696861 | + | 1.23278i | ||||
\(407\) | 11.0572 | + | 19.1516i | 0.548083 | + | 0.949308i | ||||
\(408\) | −3.45965 | + | 9.31345i | −0.171278 | + | 0.461084i | ||||
\(409\) | 9.11823 | + | 5.26441i | 0.450868 | + | 0.260308i | 0.708197 | − | 0.706015i | \(-0.249509\pi\) |
−0.257329 | + | 0.966324i | \(0.582842\pi\) | |||||||
\(410\) | 13.7377 | − | 24.5200i | 0.678459 | − | 1.21095i | ||||
\(411\) | −1.84336 | − | 10.8737i | −0.0909261 | − | 0.536360i | ||||
\(412\) | 0.794079 | + | 1.37539i | 0.0391215 | + | 0.0677604i | ||||
\(413\) | 5.19471 | + | 2.93645i | 0.255615 | + | 0.144493i | ||||
\(414\) | −0.0660403 | − | 0.0569178i | −0.00324570 | − | 0.00279736i | ||||
\(415\) | −0.108903 | − | 8.43732i | −0.00534585 | − | 0.414172i | ||||
\(416\) | 16.1557 | + | 27.9824i | 0.792096 | + | 1.37195i | ||||
\(417\) | 18.5905 | + | 22.4548i | 0.910381 | + | 1.09962i | ||||
\(418\) | 4.54061 | − | 7.86457i | 0.222089 | − | 0.384669i | ||||
\(419\) | 9.50459 | − | 16.4624i | 0.464330 | − | 0.804243i | −0.534841 | − | 0.844953i | \(-0.679629\pi\) |
0.999171 | + | 0.0407098i | \(0.0129619\pi\) | |||||||
\(420\) | 15.2892 | − | 2.93941i | 0.746038 | − | 0.143428i | ||||
\(421\) | 6.62782 | + | 11.4797i | 0.323020 | + | 0.559487i | 0.981110 | − | 0.193453i | \(-0.0619685\pi\) |
−0.658090 | + | 0.752940i | \(0.728635\pi\) | |||||||
\(422\) | −19.9239 | −0.969881 | ||||||||
\(423\) | −16.6515 | − | 3.16346i | −0.809623 | − | 0.153813i | ||||
\(424\) | −1.22606 | −0.0595427 | ||||||||
\(425\) | −27.1290 | + | 16.6110i | −1.31595 | + | 0.805752i | ||||
\(426\) | 24.9346 | − | 4.22702i | 1.20808 | − | 0.204800i | ||||
\(427\) | −10.9364 | − | 18.5504i | −0.529248 | − | 0.897716i | ||||
\(428\) | −8.90161 | + | 15.4180i | −0.430276 | + | 0.745259i | ||||
\(429\) | −5.48080 | + | 14.7544i | −0.264616 | + | 0.712350i | ||||
\(430\) | −33.1117 | + | 19.6912i | −1.59679 | + | 0.949592i | ||||
\(431\) | 7.25892i | 0.349650i | 0.984600 | + | 0.174825i | \(0.0559360\pi\) | ||||
−0.984600 | + | 0.174825i | \(0.944064\pi\) | |||||||
\(432\) | −12.7088 | + | 21.0383i | −0.611454 | + | 1.01221i | ||||
\(433\) | 15.5951 | 0.749453 | 0.374726 | − | 0.927135i | \(-0.377737\pi\) | ||||
0.374726 | + | 0.927135i | \(0.377737\pi\) | |||||||
\(434\) | 26.8654 | − | 0.244525i | 1.28958 | − | 0.0117376i | ||||
\(435\) | 7.48305 | − | 20.9697i | 0.358785 | − | 1.00542i | ||||
\(436\) | 13.7894 | − | 23.8839i | 0.660393 | − | 1.14383i | ||||
\(437\) | 0.0326573 | + | 0.0188547i | 0.00156221 | + | 0.000901942i | ||||
\(438\) | −3.10167 | − | 18.2963i | −0.148203 | − | 0.874230i | ||||
\(439\) | −28.7023 | + | 16.5713i | −1.36989 | + | 0.790904i | −0.990913 | − | 0.134505i | \(-0.957056\pi\) |
−0.378972 | + | 0.925408i | \(0.623722\pi\) | |||||||
\(440\) | 0.0517419 | + | 4.00872i | 0.00246670 | + | 0.191108i | ||||
\(441\) | −16.1541 | − | 13.4180i | −0.769244 | − | 0.638955i | ||||
\(442\) | − | 54.5414i | − | 2.59427i | ||||||
\(443\) | −2.58558 | − | 4.47836i | −0.122845 | − | 0.212773i | 0.798044 | − | 0.602600i | \(-0.205868\pi\) |
−0.920888 | + | 0.389826i | \(0.872535\pi\) | |||||||
\(444\) | −18.6635 | − | 22.5430i | −0.885731 | − | 1.06984i | ||||
\(445\) | −3.06185 | + | 5.46497i | −0.145146 | + | 0.259065i | ||||
\(446\) | −7.52832 | + | 13.0394i | −0.356476 | + | 0.617435i | ||||
\(447\) | −9.84584 | − | 11.8925i | −0.465692 | − | 0.562494i | ||||
\(448\) | 0.0916073 | + | 10.0647i | 0.00432804 | + | 0.475512i | ||||
\(449\) | 5.53014i | 0.260984i | 0.991449 | + | 0.130492i | \(0.0416556\pi\) | ||||
−0.991449 | + | 0.130492i | \(0.958344\pi\) | |||||||
\(450\) | −26.3196 | + | 9.95697i | −1.24072 | + | 0.469376i | ||||
\(451\) | 13.3236i | 0.627382i | ||||||||
\(452\) | −8.75074 | − | 15.1567i | −0.411600 | − | 0.712912i | ||||
\(453\) | −3.32422 | − | 19.6091i | −0.156185 | − | 0.921315i | ||||
\(454\) | 9.30101 | + | 5.36994i | 0.436518 | + | 0.252024i | ||||
\(455\) | 23.1098 | − | 14.0294i | 1.08340 | − | 0.657710i | ||||
\(456\) | 1.32374 | − | 3.56353i | 0.0619898 | − | 0.166878i | ||||
\(457\) | −6.13724 | + | 3.54334i | −0.287088 | + | 0.165750i | −0.636628 | − | 0.771171i | \(-0.719671\pi\) |
0.349540 | + | 0.936921i | \(0.386338\pi\) | |||||||
\(458\) | − | 13.7365i | − | 0.641863i | ||||||
\(459\) | 28.9514 | − | 15.9587i | 1.35133 | − | 0.744890i | ||||
\(460\) | 0.0526259 | 0.000679260i | 0.00245370 | 3.16707e-5i | ||||||
\(461\) | 11.9627 | + | 20.7199i | 0.557157 | + | 0.965024i | 0.997732 | + | 0.0673082i | \(0.0214411\pi\) |
−0.440575 | + | 0.897716i | \(0.645226\pi\) | |||||||
\(462\) | −13.0685 | + | 11.0215i | −0.608001 | + | 0.512765i | ||||
\(463\) | 17.6719 | + | 10.2029i | 0.821285 | + | 0.474169i | 0.850859 | − | 0.525394i | \(-0.176082\pi\) |
−0.0295746 | + | 0.999563i | \(0.509415\pi\) | |||||||
\(464\) | 23.5498 | + | 13.5965i | 1.09327 | + | 0.631201i | ||||
\(465\) | −20.6221 | + | 3.77038i | −0.956328 | + | 0.174847i | ||||
\(466\) | 24.6246 | + | 42.6511i | 1.14071 | + | 1.97577i | ||||
\(467\) | 18.8109i | 0.870464i | 0.900318 | + | 0.435232i | \(0.143334\pi\) | ||||
−0.900318 | + | 0.435232i | \(0.856666\pi\) | |||||||
\(468\) | 3.88771 | − | 20.4638i | 0.179710 | − | 0.945938i | ||||
\(469\) | 14.3817 | − | 25.4418i | 0.664084 | − | 1.17479i | ||||
\(470\) | 20.3703 | − | 12.1140i | 0.939610 | − | 0.558776i | ||||
\(471\) | −15.5836 | + | 12.9018i | −0.718055 | + | 0.594482i | ||||
\(472\) | 1.01674 | − | 1.76105i | 0.0467994 | − | 0.0810589i | ||||
\(473\) | 9.13114 | − | 15.8156i | 0.419850 | − | 0.727202i | ||||
\(474\) | 7.82727 | − | 6.48024i | 0.359518 | − | 0.297647i | ||||
\(475\) | 10.3802 | − | 6.35574i | 0.476275 | − | 0.291621i | ||||
\(476\) | 12.5856 | − | 22.2644i | 0.576859 | − | 1.02049i | ||||
\(477\) | 3.09022 | + | 2.66335i | 0.141492 | + | 0.121947i | ||||
\(478\) | − | 25.2193i | − | 1.15351i | ||||||
\(479\) | −2.31069 | − | 4.00223i | −0.105578 | − | 0.182866i | 0.808396 | − | 0.588639i | \(-0.200336\pi\) |
−0.913974 | + | 0.405772i | \(0.867003\pi\) | |||||||
\(480\) | −4.92516 | − | 26.9382i | −0.224802 | − | 1.22956i | ||||
\(481\) | −44.0105 | − | 25.4095i | −2.00671 | − | 1.15857i | ||||
\(482\) | −9.68767 | − | 5.59318i | −0.441261 | − | 0.254762i | ||||
\(483\) | −0.0457662 | − | 0.0542663i | −0.00208243 | − | 0.00246920i | ||||
\(484\) | −5.35256 | − | 9.27090i | −0.243298 | − | 0.421405i | ||||
\(485\) | 18.5023 | − | 0.238816i | 0.840148 | − | 0.0108441i | ||||
\(486\) | 27.7957 | − | 9.08921i | 1.26084 | − | 0.412295i | ||||
\(487\) | − | 28.6422i | − | 1.29790i | −0.760831 | − | 0.648951i | \(-0.775208\pi\) | ||
0.760831 | − | 0.648951i | \(-0.224792\pi\) | |||||||
\(488\) | −6.35518 | + | 3.66917i | −0.287686 | + | 0.166095i | ||||
\(489\) | 4.85490 | − | 13.0695i | 0.219546 | − | 0.591023i | ||||
\(490\) | 29.3499 | − | 0.913366i | 1.32589 | − | 0.0412616i | ||||
\(491\) | −16.6816 | − | 9.63112i | −0.752830 | − | 0.434646i | 0.0738857 | − | 0.997267i | \(-0.476460\pi\) |
−0.826715 | + | 0.562620i | \(0.809793\pi\) | |||||||
\(492\) | −2.94709 | − | 17.3845i | −0.132865 | − | 0.783753i | ||||
\(493\) | −18.2871 | − | 31.6743i | −0.823612 | − | 1.42654i | ||||
\(494\) | 20.8688i | 0.938930i | ||||||||
\(495\) | 8.57768 | − | 10.2162i | 0.385538 | − | 0.459183i | ||||
\(496\) | − | 25.6041i | − | 1.14966i | ||||||
\(497\) | 20.5916 | − | 0.187422i | 0.923660 | − | 0.00840701i | ||||
\(498\) | −7.81945 | − | 9.44486i | −0.350398 | − | 0.423234i | ||||
\(499\) | −11.1319 | + | 19.2810i | −0.498331 | + | 0.863134i | −0.999998 | − | 0.00192627i | \(-0.999387\pi\) |
0.501667 | + | 0.865061i | \(0.332720\pi\) | |||||||
\(500\) | 7.91785 | − | 15.0293i | 0.354097 | − | 0.672130i | ||||
\(501\) | −15.0688 | − | 18.2011i | −0.673226 | − | 0.813167i | ||||
\(502\) | 5.09129 | + | 8.81836i | 0.227235 | + | 0.393583i | ||||
\(503\) | 31.0638i | 1.38507i | 0.721387 | + | 0.692533i | \(0.243505\pi\) | ||||
−0.721387 | + | 0.692533i | \(0.756495\pi\) | |||||||
\(504\) | −4.62246 | + | 5.46310i | −0.205901 | + | 0.243346i | ||||
\(505\) | 4.21632 | − | 0.0544215i | 0.187624 | − | 0.00242173i | ||||
\(506\) | −0.0500475 | + | 0.0288950i | −0.00222488 | + | 0.00128454i | ||||
\(507\) | −2.28194 | − | 13.4609i | −0.101345 | − | 0.597818i | ||||
\(508\) | 3.32918 | + | 1.92211i | 0.147709 | + | 0.0852796i | ||||
\(509\) | −14.0551 | + | 24.3442i | −0.622982 | + | 1.07904i | 0.365946 | + | 0.930636i | \(0.380746\pi\) |
−0.988927 | + | 0.148400i | \(0.952588\pi\) | |||||||
\(510\) | −15.5360 | + | 43.5364i | −0.687945 | + | 1.92783i | ||||
\(511\) | −0.137525 | − | 15.1095i | −0.00608374 | − | 0.668407i | ||||
\(512\) | 24.9164 | 1.10116 | ||||||||
\(513\) | −11.0774 | + | 6.10616i | −0.489080 | + | 0.269594i | ||||
\(514\) | − | 31.4891i | − | 1.38893i | ||||||
\(515\) | −1.19466 | − | 2.00887i | −0.0526428 | − | 0.0885215i | ||||
\(516\) | −8.41592 | + | 22.6558i | −0.370490 | + | 0.997366i | ||||
\(517\) | −5.61747 | + | 9.72974i | −0.247056 | + | 0.427913i | ||||
\(518\) | −28.0326 | − | 47.5491i | −1.23168 | − | 2.08919i | ||||
\(519\) | −3.75471 | + | 0.636514i | −0.164813 | + | 0.0279399i | ||||
\(520\) | −4.70902 | − | 7.91845i | −0.206504 | − | 0.347247i | ||||
\(521\) | 28.0333 | 1.22816 | 0.614080 | − | 0.789244i | \(-0.289527\pi\) | ||||
0.614080 | + | 0.789244i | \(0.289527\pi\) | |||||||
\(522\) | −10.6632 | − | 30.5465i | −0.466716 | − | 1.33699i | ||||
\(523\) | 6.23624 | 0.272692 | 0.136346 | − | 0.990661i | \(-0.456464\pi\) | ||||
0.136346 | + | 0.990661i | \(0.456464\pi\) | |||||||
\(524\) | −1.14649 | − | 1.98578i | −0.0500847 | − | 0.0867492i | ||||
\(525\) | −22.4431 | + | 4.61590i | −0.979498 | + | 0.201455i | ||||
\(526\) | −24.0481 | + | 41.6525i | −1.04855 | + | 1.81614i | ||||
\(527\) | −17.2186 | + | 29.8235i | −0.750055 | + | 1.29913i | ||||
\(528\) | 10.3898 | + | 12.5495i | 0.452158 | + | 0.546147i | ||||
\(529\) | 11.4999 | + | 19.9184i | 0.499995 | + | 0.866016i | ||||
\(530\) | −5.70396 | + | 0.0736230i | −0.247764 | + | 0.00319798i | ||||
\(531\) | −6.38816 | + | 2.22998i | −0.277222 | + | 0.0967730i | ||||
\(532\) | −4.81552 | + | 8.51885i | −0.208779 | + | 0.369339i | ||||
\(533\) | −15.3089 | − | 26.5157i | −0.663100 | − | 1.14852i | ||||
\(534\) | 1.52145 | + | 8.97484i | 0.0658398 | + | 0.388379i | ||||
\(535\) | 12.8064 | − | 22.8576i | 0.553668 | − | 0.988219i | ||||
\(536\) | −8.62498 | − | 4.97963i | −0.372542 | − | 0.215087i | ||||
\(537\) | 5.38520 | − | 14.4971i | 0.232389 | − | 0.625594i | ||||
\(538\) | 27.8061 | + | 48.1615i | 1.19881 | + | 2.07639i | ||||
\(539\) | −11.9263 | + | 7.17824i | −0.513703 | + | 0.309189i | ||||
\(540\) | −8.93233 | + | 15.2273i | −0.384386 | + | 0.655280i | ||||
\(541\) | −18.2151 | −0.783127 | −0.391564 | − | 0.920151i | \(-0.628066\pi\) | ||||
−0.391564 | + | 0.920151i | \(0.628066\pi\) | |||||||
\(542\) | 15.2401 | − | 8.79885i | 0.654616 | − | 0.377943i | ||||
\(543\) | 1.69061 | − | 4.55116i | 0.0725510 | − | 0.195309i | ||||
\(544\) | −38.9578 | − | 22.4923i | −1.67030 | − | 0.964350i | ||||
\(545\) | −19.8382 | + | 35.4085i | −0.849776 | + | 1.51673i | ||||
\(546\) | 13.3443 | − | 36.9500i | 0.571084 | − | 1.58131i | ||||
\(547\) | −22.6534 | + | 13.0789i | −0.968589 | + | 0.559215i | −0.898806 | − | 0.438347i | \(-0.855564\pi\) |
−0.0697830 | + | 0.997562i | \(0.522231\pi\) | |||||||
\(548\) | 9.67479 | 0.413286 | ||||||||
\(549\) | 23.9884 | + | 4.55733i | 1.02380 | + | 0.194502i | ||||
\(550\) | 0.481435 | + | 18.6466i | 0.0205285 | + | 0.795092i | ||||
\(551\) | 6.99707 | + | 12.1193i | 0.298085 | + | 0.516298i | ||||
\(552\) | −0.0186338 | + | 0.0154271i | −0.000793109 | + | 0.000656619i | ||||
\(553\) | 7.12761 | − | 4.20208i | 0.303097 | − | 0.178691i | ||||
\(554\) | −10.4731 | − | 6.04662i | −0.444958 | − | 0.256896i | ||||
\(555\) | 27.8926 | + | 32.8188i | 1.18397 | + | 1.39308i | ||||
\(556\) | −22.1466 | + | 12.7864i | −0.939226 | + | 0.542262i | ||||
\(557\) | 4.94802 | 0.209654 | 0.104827 | − | 0.994490i | \(-0.466571\pi\) | ||||
0.104827 | + | 0.994490i | \(0.466571\pi\) | |||||||
\(558\) | −19.8883 | + | 23.0759i | −0.841938 | + | 0.976880i | ||||
\(559\) | 41.9669i | 1.77501i | ||||||||
\(560\) | −0.615836 | − | 27.9776i | −0.0260238 | − | 1.18227i | ||||
\(561\) | −3.66252 | − | 21.6047i | −0.154632 | − | 0.912151i | ||||
\(562\) | 9.06826 | + | 5.23556i | 0.382522 | + | 0.220849i | ||||
\(563\) | 3.54967 | + | 2.04940i | 0.149601 | + | 0.0863720i | 0.572932 | − | 0.819603i | \(-0.305806\pi\) |
−0.423331 | + | 0.905975i | \(0.639139\pi\) | |||||||
\(564\) | 5.17746 | − | 13.9378i | 0.218011 | − | 0.586888i | ||||
\(565\) | 13.1651 | + | 22.1377i | 0.553859 | + | 0.931342i | ||||
\(566\) | −16.8762 | −0.709361 | ||||||||
\(567\) | 23.5181 | − | 3.72815i | 0.987667 | − | 0.156567i | ||||
\(568\) | − | 7.01742i | − | 0.294444i | ||||||
\(569\) | 24.3155 | − | 14.0386i | 1.01936 | − | 0.588527i | 0.105440 | − | 0.994426i | \(-0.466375\pi\) |
0.913918 | + | 0.405899i | \(0.133041\pi\) | |||||||
\(570\) | 5.94441 | − | 16.6580i | 0.248984 | − | 0.697727i | ||||
\(571\) | −13.2089 | + | 22.8785i | −0.552776 | + | 0.957436i | 0.445297 | + | 0.895383i | \(0.353098\pi\) |
−0.998073 | + | 0.0620529i | \(0.980235\pi\) | |||||||
\(572\) | −11.9573 | − | 6.90355i | −0.499960 | − | 0.288652i | ||||
\(573\) | −5.27885 | + | 0.894894i | −0.220527 | + | 0.0373847i | ||||
\(574\) | −0.302675 | − | 33.2542i | −0.0126334 | − | 1.38800i | ||||
\(575\) | −0.0774290 | + | 0.00199914i | −0.00322901 | + | 8.33698e-5i | ||||
\(576\) | −8.64502 | − | 7.45083i | −0.360209 | − | 0.310451i | ||||
\(577\) | −20.5348 | −0.854875 | −0.427437 | − | 0.904045i | \(-0.640584\pi\) | ||||
−0.427437 | + | 0.904045i | \(0.640584\pi\) | |||||||
\(578\) | 22.0209 | + | 38.1413i | 0.915949 | + | 1.58647i | ||||
\(579\) | 3.13269 | + | 3.78387i | 0.130190 | + | 0.157252i | ||||
\(580\) | 17.0393 | + | 9.54656i | 0.707517 | + | 0.396399i | ||||
\(581\) | −5.07049 | − | 8.60060i | −0.210359 | − | 0.356813i | ||||
\(582\) | 20.7118 | − | 17.1474i | 0.858531 | − | 0.710783i | ||||
\(583\) | 2.34187 | − | 1.35208i | 0.0969905 | − | 0.0559975i | ||||
\(584\) | −5.14918 | −0.213075 | ||||||||
\(585\) | −5.33230 | + | 30.1874i | −0.220464 | + | 1.24810i | ||||
\(586\) | 33.0256i | 1.36427i | ||||||||
\(587\) | 27.2457 | − | 15.7303i | 1.12455 | − | 0.649259i | 0.181991 | − | 0.983300i | \(-0.441746\pi\) |
0.942558 | + | 0.334041i | \(0.108412\pi\) | |||||||
\(588\) | 13.9736 | − | 12.0041i | 0.576261 | − | 0.495042i | ||||
\(589\) | 6.58823 | − | 11.4111i | 0.271463 | − | 0.470188i | ||||
\(590\) | 4.62442 | − | 8.25394i | 0.190384 | − | 0.339809i | ||||
\(591\) | −24.2366 | − | 9.00314i | −0.996962 | − | 0.370340i | ||||
\(592\) | −45.5561 | + | 26.3018i | −1.87235 | + | 1.08100i | ||||
\(593\) | − | 25.5323i | − | 1.04848i | −0.851569 | − | 0.524242i | \(-0.824349\pi\) | ||
0.851569 | − | 0.524242i | \(-0.175651\pi\) | |||||||
\(594\) | 0.384083 | − | 19.3807i | 0.0157591 | − | 0.795201i | ||||
\(595\) | −18.0975 | + | 33.0023i | −0.741924 | + | 1.35296i | ||||
\(596\) | 11.7292 | − | 6.77187i | 0.480447 | − | 0.277386i | ||||
\(597\) | 13.8880 | − | 37.3867i | 0.568397 | − | 1.53014i | ||||
\(598\) | 0.0664010 | − | 0.115010i | 0.00271534 | − | 0.00470310i | ||||
\(599\) | −38.7855 | − | 22.3928i | −1.58473 | − | 0.914945i | −0.994155 | − | 0.107964i | \(-0.965567\pi\) |
−0.590577 | − | 0.806982i | \(-0.701100\pi\) | |||||||
\(600\) | 1.50332 | + | 7.66207i | 0.0613726 | + | 0.312803i | ||||
\(601\) | 9.78512 | − | 5.64944i | 0.399143 | − | 0.230446i | −0.286971 | − | 0.957939i | \(-0.592648\pi\) |
0.686114 | + | 0.727494i | \(0.259315\pi\) | |||||||
\(602\) | −22.4311 | + | 39.6815i | −0.914222 | + | 1.61730i | ||||
\(603\) | 10.9216 | + | 31.2868i | 0.444763 | + | 1.27410i | ||||
\(604\) | 17.4470 | 0.709909 | ||||||||
\(605\) | 8.05268 | + | 13.5410i | 0.327388 | + | 0.550519i | ||||
\(606\) | 4.71981 | − | 3.90756i | 0.191729 | − | 0.158734i | ||||
\(607\) | −0.921022 | + | 1.59526i | −0.0373831 | + | 0.0647495i | −0.884112 | − | 0.467276i | \(-0.845236\pi\) |
0.846728 | + | 0.532025i | \(0.178569\pi\) | |||||||
\(608\) | 14.9061 | + | 8.60605i | 0.604523 | + | 0.349022i | ||||
\(609\) | −4.63937 | − | 25.9325i | −0.187997 | − | 1.05084i | ||||
\(610\) | −29.3457 | + | 17.4516i | −1.18817 | + | 0.706594i | ||||
\(611\) | − | 25.8180i | − | 1.04448i | ||||||
\(612\) | 9.55766 | + | 27.3795i | 0.386345 | + | 1.10675i | ||||
\(613\) | 9.18979i | 0.371172i | 0.982628 | + | 0.185586i | \(0.0594184\pi\) | ||||
−0.982628 | + | 0.185586i | \(0.940582\pi\) | |||||||
\(614\) | 2.32858 | + | 4.03322i | 0.0939740 | + | 0.162768i | ||||
\(615\) | 4.66701 | + | 25.5263i | 0.188192 | + | 1.02932i | ||||
\(616\) | 2.40908 | + | 4.08630i | 0.0970646 | + | 0.164642i | ||||
\(617\) | −20.9885 | + | 36.3531i | −0.844965 | + | 1.46352i | 0.0406875 | + | 0.999172i | \(0.487045\pi\) |
−0.885652 | + | 0.464350i | \(0.846288\pi\) | |||||||
\(618\) | −3.18381 | − | 1.18269i | −0.128072 | − | 0.0475746i | ||||
\(619\) | 5.76384 | − | 3.32775i | 0.231668 | − | 0.133754i | −0.379673 | − | 0.925121i | \(-0.623964\pi\) |
0.611341 | + | 0.791367i | \(0.290630\pi\) | |||||||
\(620\) | −0.237348 | − | 18.3886i | −0.00953212 | − | 0.738504i | ||||
\(621\) | 0.0804776 | + | 0.00159489i | 0.00322946 | + | 6.40007e-5i | ||||
\(622\) | −48.6912 | −1.95234 | ||||||||
\(623\) | 0.0674598 | + | 7.41166i | 0.00270272 | + | 0.296942i | ||||
\(624\) | −35.0966 | − | 13.0373i | −1.40499 | − | 0.521908i | ||||
\(625\) | −11.3661 | + | 22.2668i | −0.454644 | + | 0.890673i | ||||
\(626\) | −18.9832 | + | 32.8799i | −0.758722 | + | 1.31415i | ||||
\(627\) | 1.40136 | + | 8.26643i | 0.0559650 | + | 0.330129i | ||||
\(628\) | −8.87371 | − | 15.3697i | −0.354099 | − | 0.613318i | ||||
\(629\) | 70.7514 | 2.82104 | ||||||||
\(630\) | −21.1769 | + | 25.6934i | −0.843708 | + | 1.02365i | ||||
\(631\) | 40.6463 | 1.61810 | 0.809051 | − | 0.587738i | \(-0.199982\pi\) | ||||
0.809051 | + | 0.587738i | \(0.199982\pi\) | |||||||
\(632\) | −1.40980 | − | 2.44185i | −0.0560790 | − | 0.0971316i | ||||
\(633\) | 14.1692 | − | 11.7308i | 0.563176 | − | 0.466257i | ||||
\(634\) | 9.78047 | − | 16.9403i | 0.388432 | − | 0.672784i | ||||
\(635\) | −4.93559 | − | 2.76525i | −0.195863 | − | 0.109736i | ||||
\(636\) | −2.75658 | + | 2.28219i | −0.109306 | + | 0.0904948i | ||||
\(637\) | 15.4872 | − | 27.9891i | 0.613625 | − | 1.10897i | ||||
\(638\) | −21.4461 | −0.849060 | ||||||||
\(639\) | −15.2438 | + | 17.6871i | −0.603037 | + | 0.699689i | ||||
\(640\) | −15.6615 | + | 0.202148i | −0.619075 | + | 0.00799061i | ||||
\(641\) | −35.8005 | + | 20.6694i | −1.41403 | + | 0.816393i | −0.995765 | − | 0.0919301i | \(-0.970696\pi\) |
−0.418269 | + | 0.908323i | \(0.637363\pi\) | |||||||
\(642\) | −6.36357 | − | 37.5378i | −0.251150 | − | 1.48150i | ||||
\(643\) | −4.89772 | + | 8.48311i | −0.193147 | + | 0.334541i | −0.946292 | − | 0.323314i | \(-0.895203\pi\) |
0.753144 | + | 0.657855i | \(0.228536\pi\) | |||||||
\(644\) | 0.0536444 | − | 0.0316261i | 0.00211388 | − | 0.00124624i | ||||
\(645\) | 11.9542 | − | 33.4991i | 0.470695 | − | 1.31903i | ||||
\(646\) | −14.5270 | − | 25.1615i | −0.571557 | − | 0.989966i | ||||
\(647\) | − | 32.9147i | − | 1.29401i | −0.762486 | − | 0.647005i | \(-0.776021\pi\) | ||
0.762486 | − | 0.647005i | \(-0.223979\pi\) | |||||||
\(648\) | −1.19747 | − | 8.02563i | −0.0470410 | − | 0.315277i | ||||
\(649\) | 4.48500i | 0.176052i | ||||||||
\(650\) | −22.3831 | − | 36.5560i | −0.877939 | − | 1.43385i | ||||
\(651\) | −18.9618 | + | 15.9917i | −0.743171 | + | 0.626763i | ||||
\(652\) | 10.5918 | + | 6.11518i | 0.414807 | + | 0.239489i | ||||
\(653\) | 15.2724 | − | 26.4526i | 0.597655 | − | 1.03517i | −0.395511 | − | 0.918461i | \(-0.629432\pi\) |
0.993166 | − | 0.116708i | \(-0.0372343\pi\) | |||||||
\(654\) | 9.85775 | + | 58.1495i | 0.385469 | + | 2.27382i | ||||
\(655\) | 1.72484 | + | 2.90041i | 0.0673952 | + | 0.113328i | ||||
\(656\) | −31.6930 | −1.23740 | ||||||||
\(657\) | 12.9783 | + | 11.1855i | 0.506330 | + | 0.436388i | ||||
\(658\) | 13.7996 | − | 24.4120i | 0.537963 | − | 0.951679i | ||||
\(659\) | −17.3536 | + | 10.0191i | −0.676001 | + | 0.390289i | −0.798347 | − | 0.602198i | \(-0.794292\pi\) |
0.122346 | + | 0.992488i | \(0.460958\pi\) | |||||||
\(660\) | 7.57818 | + | 8.91661i | 0.294980 | + | 0.347079i | ||||
\(661\) | 21.5858 | + | 12.4625i | 0.839588 | + | 0.484737i | 0.857124 | − | 0.515110i | \(-0.172249\pi\) |
−0.0175359 | + | 0.999846i | \(0.505582\pi\) | |||||||
\(662\) | −28.0400 | + | 48.5667i | −1.08981 | + | 1.88760i | ||||
\(663\) | 32.1128 | + | 38.7880i | 1.24716 | + | 1.50640i | ||||
\(664\) | −2.94648 | + | 1.70115i | −0.114346 | + | 0.0660176i | ||||
\(665\) | 6.92449 | − | 12.6274i | 0.268520 | − | 0.489671i | ||||
\(666\) | 61.4881 | + | 11.6815i | 2.38261 | + | 0.452650i | ||||
\(667\) | − | 0.0890541i | − | 0.00344819i | ||||||
\(668\) | 17.9513 | − | 10.3642i | 0.694556 | − | 0.401002i | ||||
\(669\) | −2.32345 | − | 13.7057i | −0.0898299 | − | 0.529894i | ||||
\(670\) | −40.4248 | − | 22.6487i | −1.56174 | − | 0.874995i | ||||
\(671\) | 8.09261 | − | 14.0168i | 0.312412 | − | 0.541113i | ||||
\(672\) | −20.8896 | − | 24.7694i | −0.805832 | − | 0.955499i | ||||
\(673\) | 15.4480 | − | 8.91892i | 0.595477 | − | 0.343799i | −0.171783 | − | 0.985135i | \(-0.554953\pi\) |
0.767260 | + | 0.641336i | \(0.221619\pi\) | |||||||
\(674\) | 43.4032i | 1.67183i | ||||||||
\(675\) | 12.8552 | − | 22.5775i | 0.494797 | − | 0.869009i | ||||
\(676\) | 11.9767 | 0.460642 | ||||||||
\(677\) | 5.06781 | − | 2.92590i | 0.194772 | − | 0.112452i | −0.399443 | − | 0.916758i | \(-0.630796\pi\) |
0.594214 | + | 0.804307i | \(0.297463\pi\) | |||||||
\(678\) | 35.0856 | + | 13.0332i | 1.34745 | + | 0.500536i | ||||
\(679\) | 18.8604 | − | 11.1192i | 0.723796 | − | 0.426714i | ||||
\(680\) | 11.1898 | + | 6.26929i | 0.429110 | + | 0.240416i | ||||
\(681\) | −9.77627 | + | 1.65732i | −0.374627 | + | 0.0635085i | ||||
\(682\) | 10.0965 | + | 17.4877i | 0.386615 | + | 0.669637i | ||||
\(683\) | −28.5292 | −1.09164 | −0.545819 | − | 0.837903i | \(-0.683782\pi\) | ||||
−0.545819 | + | 0.837903i | \(0.683782\pi\) | |||||||
\(684\) | −3.65697 | − | 10.4760i | −0.139828 | − | 0.400560i | ||||
\(685\) | −14.2370 | + | 0.183762i | −0.543967 | + | 0.00702117i | ||||
\(686\) | 29.6038 | − | 18.1871i | 1.13028 | − | 0.694385i | ||||
\(687\) | 8.08774 | + | 9.76891i | 0.308566 | + | 0.372707i | ||||
\(688\) | 37.6208 | + | 21.7204i | 1.43428 | + | 0.828082i | ||||
\(689\) | −3.10710 | + | 5.38165i | −0.118371 | + | 0.205025i | ||||
\(690\) | −0.0857633 | + | 0.0728898i | −0.00326495 | + | 0.00277487i | ||||
\(691\) | 18.2090 | − | 10.5130i | 0.692703 | − | 0.399932i | −0.111921 | − | 0.993717i | \(-0.535700\pi\) |
0.804624 | + | 0.593785i | \(0.202367\pi\) | |||||||
\(692\) | − | 3.34072i | − | 0.126995i | ||||||
\(693\) | 2.80465 | − | 15.5325i | 0.106540 | − | 0.590032i | ||||
\(694\) | −8.65266 | −0.328450 | ||||||||
\(695\) | 32.3471 | − | 19.2365i | 1.22700 | − | 0.729681i | ||||
\(696\) | −8.85118 | + | 1.50049i | −0.335503 | + | 0.0568760i | ||||
\(697\) | 36.9159 | + | 21.3134i | 1.39829 | + | 0.807302i | ||||
\(698\) | 58.0769 | + | 33.5307i | 2.19824 | + | 1.26916i | ||||
\(699\) | −42.6243 | − | 15.8336i | −1.61220 | − | 0.598881i | ||||
\(700\) | −0.701638 | − | 20.0875i | −0.0265194 | − | 0.759237i | ||||
\(701\) | 43.0100i | 1.62446i | 0.583335 | + | 0.812232i | \(0.301748\pi\) | ||||
−0.583335 | + | 0.812232i | \(0.698252\pi\) | |||||||
\(702\) | 21.5042 | + | 39.0116i | 0.811623 | + | 1.47240i | ||||
\(703\) | −27.0711 | −1.02100 | ||||||||
\(704\) | −6.55148 | + | 3.78250i | −0.246918 | + | 0.142558i | ||||
\(705\) | −7.35419 | + | 20.6086i | −0.276975 | + | 0.776166i | ||||
\(706\) | 5.20175 | + | 3.00323i | 0.195770 | + | 0.113028i | ||||
\(707\) | 4.29792 | − | 2.53384i | 0.161640 | − | 0.0952949i | ||||
\(708\) | −0.992055 | − | 5.85199i | −0.0372837 | − | 0.219931i | ||||
\(709\) | −14.3836 | − | 24.9131i | −0.540187 | − | 0.935632i | −0.998893 | − | 0.0470434i | \(-0.985020\pi\) |
0.458706 | − | 0.888588i | \(-0.348313\pi\) | |||||||
\(710\) | −0.421385 | − | 32.6469i | −0.0158143 | − | 1.22522i | ||||
\(711\) | −1.75106 | + | 9.21706i | −0.0656699 | + | 0.345667i | ||||
\(712\) | 2.52582 | 0.0946591 | ||||||||
\(713\) | −0.0726168 | + | 0.0419253i | −0.00271952 | + | 0.00157012i | ||||
\(714\) | 9.63207 | + | 53.8398i | 0.360471 | + | 2.01490i | ||||
\(715\) | 17.7270 | + | 9.93185i | 0.662951 | + | 0.371430i | ||||
\(716\) | 11.7487 | + | 6.78314i | 0.439071 | + | 0.253498i | ||||
\(717\) | 14.8486 | + | 17.9351i | 0.554532 | + | 0.669800i | ||||
\(718\) | −41.3613 | + | 23.8800i | −1.54359 | + | 0.891192i | ||||
\(719\) | 38.4513 | 1.43399 | 0.716996 | − | 0.697077i | \(-0.245517\pi\) | ||||
0.716996 | + | 0.697077i | \(0.245517\pi\) | |||||||
\(720\) | 24.3014 | + | 20.4039i | 0.905660 | + | 0.760407i | ||||
\(721\) | −2.40746 | − | 1.36089i | −0.0896586 | − | 0.0506820i | ||||
\(722\) | −12.2637 | − | 21.2414i | −0.456408 | − | 0.790522i | ||||
\(723\) | 10.1827 | − | 1.72621i | 0.378698 | − | 0.0641986i | ||||
\(724\) | 3.68836 | + | 2.12947i | 0.137077 | + | 0.0791413i | ||||
\(725\) | −25.2556 | − | 13.7246i | −0.937968 | − | 0.509721i | ||||
\(726\) | 21.4608 | + | 7.97200i | 0.796484 | + | 0.295869i | ||||
\(727\) | −10.8862 | − | 18.8555i | −0.403747 | − | 0.699310i | 0.590428 | − | 0.807091i | \(-0.298959\pi\) |
−0.994175 | + | 0.107780i | \(0.965626\pi\) | |||||||
\(728\) | −9.48959 | − | 5.36425i | −0.351707 | − | 0.198812i | ||||
\(729\) | −14.4158 | + | 22.8295i | −0.533919 | + | 0.845535i | ||||
\(730\) | −23.9554 | + | 0.309200i | −0.886629 | + | 0.0114440i | ||||
\(731\) | −29.2137 | − | 50.5996i | −1.08051 | − | 1.87149i | ||||
\(732\) | −7.45873 | + | 20.0790i | −0.275683 | + | 0.742143i | ||||
\(733\) | 9.32775 | − | 16.1561i | 0.344528 | − | 0.596741i | −0.640740 | − | 0.767758i | \(-0.721372\pi\) |
0.985268 | + | 0.171018i | \(0.0547055\pi\) | |||||||
\(734\) | 21.9741 | − | 38.0603i | 0.811081 | − | 1.40483i | ||||
\(735\) | −20.3349 | + | 17.9302i | −0.750065 | + | 0.661364i | ||||
\(736\) | −0.0547661 | − | 0.0948577i | −0.00201871 | − | 0.00349650i | ||||
\(737\) | 21.9659 | 0.809123 | ||||||||
\(738\) | 28.5635 | + | 24.6179i | 1.05144 | + | 0.906197i | ||||
\(739\) | 37.9840 | 1.39727 | 0.698633 | − | 0.715480i | \(-0.253792\pi\) | ||||
0.698633 | + | 0.715480i | \(0.253792\pi\) | |||||||
\(740\) | −32.4741 | + | 19.3120i | −1.19377 | + | 0.709924i | ||||
\(741\) | −12.2871 | − | 14.8412i | −0.451377 | − | 0.545203i | ||||
\(742\) | −5.81435 | + | 3.42785i | −0.213452 | + | 0.125840i | ||||
\(743\) | 11.1994 | − | 19.3979i | 0.410865 | − | 0.711640i | −0.584119 | − | 0.811668i | \(-0.698560\pi\) |
0.994985 | + | 0.100028i | \(0.0318933\pi\) | |||||||
\(744\) | 5.39054 | + | 6.51105i | 0.197627 | + | 0.238707i | ||||
\(745\) | −17.1316 | + | 10.1880i | −0.627652 | + | 0.373258i | ||||
\(746\) | 33.7630i | 1.23615i | ||||||||
\(747\) | 11.1219 | + | 2.11294i | 0.406928 | + | 0.0773083i | ||||
\(748\) | 19.2226 | 0.702848 | ||||||||
\(749\) | −0.282154 | − | 30.9997i | −0.0103097 | − | 1.13270i | ||||
\(750\) | 7.45393 | + | 35.5558i | 0.272179 | + | 1.29831i | ||||
\(751\) | 15.9993 | − | 27.7115i | 0.583821 | − | 1.01121i | −0.411200 | − | 0.911545i | \(-0.634890\pi\) |
0.995021 | − | 0.0996631i | \(-0.0317765\pi\) | |||||||
\(752\) | −23.1443 | − | 13.3624i | −0.843985 | − | 0.487275i | ||||
\(753\) | −8.81282 | − | 3.27368i | −0.321157 | − | 0.119300i | ||||
\(754\) | 42.6807 | − | 24.6417i | 1.55434 | − | 0.897398i | ||||
\(755\) | −25.6743 | + | 0.331386i | −0.934382 | + | 0.0120604i | ||||
\(756\) | −0.223785 | + | 20.8871i | −0.00813897 | + | 0.759656i | ||||
\(757\) | 27.6125i | 1.00359i | 0.864985 | + | 0.501797i | \(0.167328\pi\) | ||||
−0.864985 | + | 0.501797i | \(0.832672\pi\) | |||||||
\(758\) | 0.775928 | + | 1.34395i | 0.0281830 | + | 0.0488143i | ||||
\(759\) | 0.0185794 | − | 0.0500160i | 0.000674389 | − | 0.00181547i | ||||
\(760\) | −4.28147 | − | 2.39877i | −0.155305 | − | 0.0870125i | ||||
\(761\) | 5.85711 | − | 10.1448i | 0.212320 | − | 0.367749i | −0.740120 | − | 0.672475i | \(-0.765231\pi\) |
0.952440 | + | 0.304725i | \(0.0985647\pi\) | |||||||
\(762\) | −8.10546 | + | 1.37407i | −0.293630 | + | 0.0497774i | ||||
\(763\) | 0.437083 | + | 48.0213i | 0.0158235 | + | 1.73849i | ||||
\(764\) | − | 4.69682i | − | 0.169925i | ||||||
\(765\) | −14.5847 | − | 40.1089i | −0.527310 | − | 1.45014i | ||||
\(766\) | − | 47.7242i | − | 1.72435i | ||||||
\(767\) | −5.15329 | − | 8.92576i | −0.186074 | − | 0.322290i | ||||
\(768\) | −27.6826 | + | 22.9186i | −0.998911 | + | 0.827004i | ||||
\(769\) | −7.29834 | − | 4.21370i | −0.263185 | − | 0.151950i | 0.362602 | − | 0.931944i | \(-0.381889\pi\) |
−0.625787 | + | 0.779994i | \(0.715222\pi\) | |||||||
\(770\) | 11.4531 | + | 18.8659i | 0.412740 | + | 0.679881i | ||||
\(771\) | 18.5401 | + | 22.3940i | 0.667706 | + | 0.806500i | ||||
\(772\) | −3.73193 | + | 2.15463i | −0.134315 | + | 0.0775469i | ||||
\(773\) | − | 17.3296i | − | 0.623303i | −0.950197 | − | 0.311651i | \(-0.899118\pi\) | ||
0.950197 | − | 0.311651i | \(-0.100882\pi\) | |||||||
\(774\) | −17.0345 | − | 48.7981i | −0.612291 | − | 1.75401i | ||||
\(775\) | 0.698541 | + | 27.0553i | 0.0250923 | + | 0.971857i | ||||
\(776\) | −3.73049 | − | 6.46140i | −0.133917 | − | 0.231951i | ||||
\(777\) | 47.9317 | + | 17.3103i | 1.71954 | + | 0.621005i | ||||
\(778\) | −10.7096 | − | 6.18317i | −0.383957 | − | 0.221678i | ||||
\(779\) | −14.1248 | − | 8.15497i | −0.506074 | − | 0.292182i | ||||
\(780\) | −25.3269 | − | 9.03789i | −0.906847 | − | 0.323608i | ||||
\(781\) | 7.73871 | + | 13.4038i | 0.276913 | + | 0.479627i | ||||
\(782\) | 0.184890i | 0.00661166i | ||||||||
\(783\) | 25.5685 | + | 15.4454i | 0.913742 | + | 0.551973i | ||||
\(784\) | −17.0750 | − | 28.3694i | −0.609821 | − | 1.01319i | ||||
\(785\) | 13.3501 | + | 22.4488i | 0.476485 | + | 0.801233i | ||||
\(786\) | 4.59679 | + | 1.70756i | 0.163962 | + | 0.0609067i | ||||
\(787\) | −21.4506 | + | 37.1536i | −0.764633 | + | 1.32438i | 0.175808 | + | 0.984425i | \(0.443746\pi\) |
−0.940440 | + | 0.339959i | \(0.889587\pi\) | |||||||
\(788\) | 11.3403 | − | 19.6419i | 0.403980 | − | 0.699714i | ||||
\(789\) | −7.42193 | − | 43.7809i | −0.264228 | − | 1.55864i | ||||
\(790\) | −6.70542 | − | 11.2755i | −0.238568 | − | 0.401164i | ||||
\(791\) | 26.5302 | + | 14.9969i | 0.943305 | + | 0.533229i | ||||
\(792\) | −5.28420 | − | 1.00389i | −0.187766 | − | 0.0356718i | ||||
\(793\) | 37.1938i | 1.32079i | ||||||||
\(794\) | −6.79818 | − | 11.7748i | −0.241258 | − | 0.417872i | ||||
\(795\) | 4.01312 | − | 3.41073i | 0.142331 | − | 0.120966i | ||||
\(796\) | 30.2990 | + | 17.4931i | 1.07392 | + | 0.620028i | ||||
\(797\) | −32.8167 | − | 18.9467i | −1.16243 | − | 0.671127i | −0.210542 | − | 0.977585i | \(-0.567523\pi\) |
−0.951884 | + | 0.306458i | \(0.900856\pi\) | |||||||
\(798\) | −3.68544 | − | 20.6003i | −0.130463 | − | 0.729243i | ||||
\(799\) | 17.9722 | + | 31.1288i | 0.635812 | + | 1.10126i | ||||
\(800\) | −35.3418 | + | 0.912489i | −1.24952 | + | 0.0322613i | ||||
\(801\) | −6.36620 | − | 5.48680i | −0.224939 | − | 0.193867i | ||||
\(802\) | − | 46.9767i | − | 1.65880i | ||||||
\(803\) | 9.83536 | − | 5.67845i | 0.347082 | − | 0.200388i | ||||
\(804\) | −28.6609 | + | 4.85872i | −1.01079 | + | 0.171354i | ||||
\(805\) | −0.0783400 | + | 0.0475584i | −0.00276112 | + | 0.00167621i | ||||
\(806\) | −40.1869 | − | 23.2019i | −1.41552 | − | 0.817252i | ||||
\(807\) | −48.1312 | − | 17.8792i | −1.69430 | − | 0.629379i | ||||
\(808\) | −0.850106 | − | 1.47243i | −0.0299066 | − | 0.0517998i | ||||
\(809\) | 7.63719i | 0.268509i | 0.990947 | + | 0.134255i | \(0.0428640\pi\) | ||||
−0.990947 | + | 0.134255i | \(0.957136\pi\) | |||||||
\(810\) | −6.05287 | − | 37.2655i | −0.212676 | − | 1.30938i | ||||
\(811\) | 4.82929i | 0.169579i | 0.996399 | + | 0.0847897i | \(0.0270218\pi\) | ||||
−0.996399 | + | 0.0847897i | \(0.972978\pi\) | |||||||
\(812\) | 23.1088 | − | 0.210333i | 0.810961 | − | 0.00738125i | ||||
\(813\) | −5.65764 | + | 15.2305i | −0.198422 | + | 0.534156i | ||||
\(814\) | 20.7433 | − | 35.9285i | 0.727052 | − | 1.25929i | ||||
\(815\) | −15.7026 | − | 8.79764i | −0.550037 | − | 0.308168i | ||||
\(816\) | 51.3914 | − | 8.71210i | 1.79906 | − | 0.304984i | ||||
\(817\) | 11.1778 | + | 19.3605i | 0.391062 | + | 0.677339i | ||||
\(818\) | − | 19.7521i | − | 0.690618i | ||||||
\(819\) | 12.2653 | + | 34.1344i | 0.428585 | + | 1.19275i | ||||
\(820\) | −22.7616 | + | 0.293791i | −0.794869 | + | 0.0102596i | ||||
\(821\) | 21.0849 | − | 12.1734i | 0.735869 | − | 0.424854i | −0.0846966 | − | 0.996407i | \(-0.526992\pi\) |
0.820565 | + | 0.571553i | \(0.193659\pi\) | |||||||
\(822\) | −15.9371 | + | 13.1944i | −0.555870 | + | 0.460208i | ||||
\(823\) | 14.8597 | + | 8.57926i | 0.517977 | + | 0.299054i | 0.736106 | − | 0.676866i | \(-0.236662\pi\) |
−0.218130 | + | 0.975920i | \(0.569996\pi\) | |||||||
\(824\) | −0.471205 | + | 0.816150i | −0.0164152 | + | 0.0284319i | ||||
\(825\) | −11.3211 | − | 12.9773i | −0.394149 | − | 0.451813i | ||||
\(826\) | −0.101887 | − | 11.1941i | −0.00354510 | − | 0.389492i | ||||
\(827\) | −14.8501 | −0.516388 | −0.258194 | − | 0.966093i | \(-0.583127\pi\) | ||||
−0.258194 | + | 0.966093i | \(0.583127\pi\) | |||||||
\(828\) | −0.0131790 | + | 0.0693702i | −0.000458001 | + | 0.00241078i | ||||
\(829\) | − | 53.9443i | − | 1.87356i | −0.349915 | − | 0.936781i | \(-0.613790\pi\) | ||
0.349915 | − | 0.936781i | \(-0.386210\pi\) | |||||||
\(830\) | −13.6057 | + | 8.09116i | −0.472261 | + | 0.280848i | ||||
\(831\) | 11.0082 | − | 1.86616i | 0.381871 | − | 0.0647364i | ||||
\(832\) | 8.69223 | − | 15.0554i | 0.301349 | − | 0.521951i | ||||
\(833\) | 0.810629 | + | 44.5274i | 0.0280866 | + | 1.54278i | ||||
\(834\) | 19.0437 | − | 51.2661i | 0.659431 | − | 1.77520i | ||||
\(835\) | −26.2195 | + | 15.5924i | −0.907362 | + | 0.539599i | ||||
\(836\) | −7.35499 | −0.254378 | ||||||||
\(837\) | 0.557288 | − | 28.1206i | 0.0192627 | − | 0.971990i | ||||
\(838\) | −35.6614 | −1.23190 | ||||||||
\(839\) | 18.3115 | + | 31.7164i | 0.632182 | + | 1.09497i | 0.987105 | + | 0.160076i | \(0.0511738\pi\) |
−0.354923 | + | 0.934896i | \(0.615493\pi\) | |||||||
\(840\) | 6.04685 | + | 6.98498i | 0.208636 | + | 0.241005i | ||||
\(841\) | 2.02419 | − | 3.50600i | 0.0697996 | − | 0.120896i | ||||
\(842\) | 12.4338 | − | 21.5360i | 0.428498 | − | 0.742180i | ||||
\(843\) | −9.53163 | + | 1.61584i | −0.328287 | + | 0.0556526i | ||||
\(844\) | 8.06831 | + | 13.9747i | 0.277723 | + | 0.481030i | ||||
\(845\) | −17.6244 | + | 0.227484i | −0.606297 | + | 0.00782567i | ||||
\(846\) | 10.4796 | + | 30.0205i | 0.360295 | + | 1.03213i | ||||
\(847\) | 16.2277 | + | 9.17317i | 0.557591 | + | 0.315194i | ||||
\(848\) | 3.21622 | + | 5.57065i | 0.110445 | + | 0.191297i | ||||
\(849\) | 12.0018 | − | 9.93637i | 0.411901 | − | 0.341015i | ||||
\(850\) | 52.4345 | + | 28.4945i | 1.79849 | + | 0.977354i | ||||
\(851\) | 0.149191 | + | 0.0861357i | 0.00511422 | + | 0.00295269i | ||||
\(852\) | −13.0622 | − | 15.7775i | −0.447505 | − | 0.540527i | ||||
\(853\) | 2.99570 | + | 5.18871i | 0.102571 | + | 0.177658i | 0.912743 | − | 0.408534i | \(-0.133960\pi\) |
−0.810172 | + | 0.586192i | \(0.800626\pi\) | |||||||
\(854\) | −19.8799 | + | 35.1683i | −0.680275 | + | 1.20343i | ||||
\(855\) | 5.58041 | + | 15.3466i | 0.190846 | + | 0.524841i | ||||
\(856\) | −10.5644 | −0.361083 | ||||||||
\(857\) | −11.2002 | + | 6.46642i | −0.382590 | + | 0.220889i | −0.678945 | − | 0.734189i | \(-0.737562\pi\) |
0.296354 | + | 0.955078i | \(0.404229\pi\) | |||||||
\(858\) | 29.1121 | − | 4.93520i | 0.993869 | − | 0.168485i | ||||
\(859\) | 47.2402 | + | 27.2741i | 1.61181 | + | 0.930582i | 0.988950 | + | 0.148252i | \(0.0473647\pi\) |
0.622865 | + | 0.782329i | \(0.285969\pi\) | |||||||
\(860\) | 27.2202 | + | 15.2506i | 0.928202 | + | 0.520042i | ||||
\(861\) | 19.7946 | + | 23.4711i | 0.674599 | + | 0.799892i | ||||
\(862\) | 11.7934 | − | 6.80889i | 0.401683 | − | 0.231912i | ||||
\(863\) | 36.1168 | 1.22943 | 0.614714 | − | 0.788750i | \(-0.289271\pi\) | ||||
0.614714 | + | 0.788750i | \(0.289271\pi\) | |||||||
\(864\) | 36.7333 | + | 0.727973i | 1.24969 | + | 0.0247661i | ||||
\(865\) | 0.0634532 | + | 4.91605i | 0.00215747 | + | 0.167151i | ||||
\(866\) | −14.6283 | − | 25.3369i | −0.497088 | − | 0.860982i | ||||
\(867\) | −38.1174 | − | 14.1594i | −1.29453 | − | 0.480878i | ||||
\(868\) | −11.0508 | − | 18.7445i | −0.375089 | − | 0.636229i | ||||
\(869\) | 5.38568 | + | 3.10942i | 0.182697 | + | 0.105480i | ||||
\(870\) | −41.0880 | + | 7.51219i | −1.39301 | + | 0.254687i | ||||
\(871\) | −43.7151 | + | 25.2389i | −1.48123 | + | 0.855188i | ||||
\(872\) | 16.3652 | 0.554196 | ||||||||
\(873\) | −4.63349 | + | 24.3893i | −0.156820 | + | 0.825454i | ||||
\(874\) | − | 0.0707431i | − | 0.00239292i | ||||||
\(875\) | 1.41404 | + | 29.5466i | 0.0478032 | + | 0.998857i | ||||
\(876\) | −11.5771 | + | 9.58471i | −0.391152 | + | 0.323837i | ||||
\(877\) | −42.8491 | − | 24.7389i | −1.44691 | − | 0.835375i | −0.448615 | − | 0.893725i | \(-0.648083\pi\) |
−0.998296 | + | 0.0583505i | \(0.981416\pi\) | |||||||
\(878\) | 53.8457 | + | 31.0878i | 1.81720 | + | 1.04916i | ||||
\(879\) | −19.4448 | − | 23.4867i | −0.655856 | − | 0.792186i | ||||
\(880\) | 18.0781 | − | 10.7508i | 0.609411 | − | 0.362410i | ||||
\(881\) | −31.2573 | −1.05309 | −0.526543 | − | 0.850148i | \(-0.676512\pi\) | ||||
−0.526543 | + | 0.850148i | \(0.676512\pi\) | |||||||
\(882\) | −6.64726 | + | 38.8313i | −0.223825 | + | 1.30752i | ||||
\(883\) | − | 27.7767i | − | 0.934761i | −0.884056 | − | 0.467380i | \(-0.845198\pi\) | ||
0.884056 | − | 0.467380i | \(-0.154802\pi\) | |||||||
\(884\) | −38.2556 | + | 22.0869i | −1.28667 | + | 0.742862i | ||||
\(885\) | 1.57102 | + | 8.59268i | 0.0528091 | + | 0.288840i | ||||
\(886\) | −4.85057 | + | 8.40144i | −0.162958 | + | 0.282252i | ||||
\(887\) | −14.8268 | − | 8.56024i | −0.497834 | − | 0.287425i | 0.229984 | − | 0.973194i | \(-0.426132\pi\) |
−0.727819 | + | 0.685769i | \(0.759466\pi\) | |||||||
\(888\) | 6.04736 | − | 16.2796i | 0.202936 | − | 0.546308i | ||||
\(889\) | −6.69370 | + | 0.0609250i | −0.224499 | + | 0.00204336i | ||||
\(890\) | 11.7508 | − | 0.151672i | 0.393888 | − | 0.00508404i | ||||
\(891\) | 11.1378 | + | 14.0091i | 0.373131 | + | 0.469321i | ||||
\(892\) | 12.1945 | 0.408304 | ||||||||
\(893\) | −6.87657 | − | 11.9106i | −0.230116 | − | 0.398572i | ||||
\(894\) | −10.0859 | + | 27.1514i | −0.337322 | + | 0.908078i | ||||
\(895\) | −17.4178 | − | 9.75861i | −0.582211 | − | 0.326194i | ||||
\(896\) | −15.9646 | + | 9.41193i | −0.533340 | + | 0.314431i | ||||
\(897\) | 0.0204932 | + | 0.120887i | 0.000684249 | + | 0.00403629i | ||||
\(898\) | 8.98465 | − | 5.18729i | 0.299822 | − | 0.173102i | ||||
\(899\) | −31.1174 | −1.03782 | ||||||||
\(900\) | 17.6422 | + | 14.4286i | 0.588072 | + | 0.480953i | ||||
\(901\) | − | 8.65156i | − | 0.288225i | ||||||
\(902\) | 21.6464 | − | 12.4975i | 0.720746 | − | 0.416123i | ||||
\(903\) | −7.41140 | − | 41.4271i | −0.246636 | − | 1.37861i | ||||
\(904\) | 5.19267 | − | 8.99396i | 0.172706 | − | 0.299135i | ||||
\(905\) | −5.46807 | − | 3.06358i | −0.181765 | − | 0.101837i | ||||
\(906\) | −28.7401 | + | 23.7941i | −0.954827 | + | 0.790507i | ||||
\(907\) | −1.51269 | + | 0.873352i | −0.0502280 | + | 0.0289992i | −0.524904 | − | 0.851162i | \(-0.675899\pi\) |
0.474676 | + | 0.880161i | \(0.342565\pi\) | |||||||
\(908\) | − | 8.69836i | − | 0.288665i | ||||||
\(909\) | −1.05588 | + | 5.55785i | −0.0350214 | + | 0.184342i | ||||
\(910\) | −44.4703 | − | 24.3861i | −1.47417 | − | 0.808392i | ||||
\(911\) | 36.4462 | − | 21.0422i | 1.20752 | − | 0.697161i | 0.245301 | − | 0.969447i | \(-0.421113\pi\) |
0.962216 | + | 0.272286i | \(0.0877798\pi\) | |||||||
\(912\) | −19.6635 | + | 3.33344i | −0.651123 | + | 0.110381i | ||||
\(913\) | 3.75202 | − | 6.49868i | 0.124174 | − | 0.215075i | ||||
\(914\) | 11.5135 | + | 6.64732i | 0.380833 | + | 0.219874i | ||||
\(915\) | 10.5946 | − | 29.6891i | 0.350245 | − | 0.981492i | ||||
\(916\) | −9.63481 | + | 5.56266i | −0.318343 | + | 0.183795i | ||||
\(917\) | 3.47589 | + | 1.96484i | 0.114784 | + | 0.0648849i | ||||
\(918\) | −53.0841 | − | 32.0670i | −1.75204 | − | 1.05837i | ||||
\(919\) | −31.6249 | −1.04321 | −0.521604 | − | 0.853187i | \(-0.674666\pi\) | ||||
−0.521604 | + | 0.853187i | \(0.674666\pi\) | |||||||
\(920\) | 0.0159631 | + | 0.0268428i | 0.000526288 | + | 0.000884980i | ||||
\(921\) | −4.03069 | − | 1.49727i | −0.132816 | − | 0.0493368i | ||||
\(922\) | 22.4420 | − | 38.8707i | 0.739089 | − | 1.28014i | ||||
\(923\) | −30.8022 | − | 17.7836i | −1.01387 | − | 0.585356i | ||||
\(924\) | 13.0227 | + | 4.70308i | 0.428414 | + | 0.154720i | ||||
\(925\) | 47.4207 | − | 29.0355i | 1.55918 | − | 0.954682i | ||||
\(926\) | − | 38.2814i | − | 1.25801i | ||||||
\(927\) | 2.96056 | − | 1.03348i | 0.0972376 | − | 0.0339438i | ||||
\(928\) | − | 40.6479i | − | 1.33433i | ||||||
\(929\) | −9.90204 | − | 17.1508i | −0.324875 | − | 0.562701i | 0.656612 | − | 0.754229i | \(-0.271989\pi\) |
−0.981487 | + | 0.191528i | \(0.938656\pi\) | |||||||
\(930\) | 25.4692 | + | 29.9675i | 0.835169 | + | 0.982673i | ||||
\(931\) | −0.310165 | − | 17.0371i | −0.0101652 | − | 0.558370i | ||||
\(932\) | 19.9438 | − | 34.5436i | 0.653280 | − | 1.13151i | ||||
\(933\) | 34.6275 | − | 28.6683i | 1.13365 | − | 0.938560i | ||||
\(934\) | 30.5615 | − | 17.6447i | 1.00000 | − | 0.577351i | ||||
\(935\) | −28.2871 | + | 0.365111i | −0.925088 | + | 0.0119404i | ||||
\(936\) | 11.6698 | − | 4.07369i | 0.381438 | − | 0.133153i | ||||
\(937\) | 37.2793 | 1.21786 | 0.608932 | − | 0.793223i | \(-0.291598\pi\) | ||||
0.608932 | + | 0.793223i | \(0.291598\pi\) | |||||||
\(938\) | −54.8245 | + | 0.499004i | −1.79008 | + | 0.0162931i | ||||
\(939\) | −5.85876 | − | 34.5600i | −0.191194 | − | 1.12782i | ||||
\(940\) | −16.7459 | − | 9.38216i | −0.546189 | − | 0.306012i | ||||
\(941\) | 7.34570 | − | 12.7231i | 0.239463 | − | 0.414762i | −0.721097 | − | 0.692834i | \(-0.756362\pi\) |
0.960560 | + | 0.278072i | \(0.0896953\pi\) | |||||||
\(942\) | 35.5786 | + | 13.2163i | 1.15921 | + | 0.430611i | ||||
\(943\) | 0.0518955 | + | 0.0898857i | 0.00168995 | + | 0.00292708i | ||||
\(944\) | −10.6685 | −0.347231 | ||||||||
\(945\) | −0.0674150 | − | 30.7408i | −0.00219301 | − | 0.999998i | ||||
\(946\) | −34.2601 | −1.11389 | ||||||||
\(947\) | −5.59021 | − | 9.68252i | −0.181657 | − | 0.314640i | 0.760788 | − | 0.649001i | \(-0.224813\pi\) |
−0.942445 | + | 0.334361i | \(0.891479\pi\) | |||||||
\(948\) | −7.71497 | − | 2.86587i | −0.250571 | − | 0.0930791i | ||||
\(949\) | −13.0491 | + | 22.6018i | −0.423593 | + | 0.733684i | ||||
\(950\) | −20.0626 | − | 10.9026i | −0.650917 | − | 0.353728i | ||||
\(951\) | 3.01853 | + | 17.8059i | 0.0978826 | + | 0.577395i | ||||
\(952\) | 15.1757 | − | 0.138127i | 0.491849 | − | 0.00447673i | ||||
\(953\) | −23.5964 | −0.764363 | −0.382182 | − | 0.924087i | \(-0.624827\pi\) | ||||
−0.382182 | + | 0.924087i | \(0.624827\pi\) | |||||||
\(954\) | 1.42843 | − | 7.51882i | 0.0462471 | − | 0.243431i | ||||
\(955\) | 0.0892107 | + | 6.91163i | 0.00288679 | + | 0.223655i | ||||
\(956\) | −17.6890 | + | 10.2127i | −0.572102 | + | 0.330303i | ||||
\(957\) | 15.2517 | − | 12.6270i | 0.493019 | − | 0.408173i | ||||
\(958\) | −4.33486 | + | 7.50820i | −0.140053 | + | 0.242579i | ||||
\(959\) | −14.5125 | + | 8.55586i | −0.468634 | + | 0.276283i | ||||
\(960\) | −11.2269 | + | 9.54165i | −0.362345 | + | 0.307955i | ||||
\(961\) | −0.850410 | − | 1.47295i | −0.0274326 | − | 0.0475146i | ||||
\(962\) | 95.3367i | 3.07378i | ||||||||
\(963\) | 26.6270 | + | 22.9489i | 0.858044 | + | 0.739518i | ||||
\(964\) | 9.05996i | 0.291802i | ||||||||
\(965\) | 5.45082 | − | 3.24155i | 0.175468 | − | 0.104349i | ||||
\(966\) | −0.0452360 | + | 0.125257i | −0.00145544 | + | 0.00403007i | ||||
\(967\) | 18.4286 | + | 10.6397i | 0.592623 | + | 0.342151i | 0.766134 | − | 0.642681i | \(-0.222178\pi\) |
−0.173511 | + | 0.984832i | \(0.555511\pi\) | |||||||
\(968\) | 3.17620 | − | 5.50133i | 0.102087 | − | 0.176820i | ||||
\(969\) | 25.1457 | + | 9.34082i | 0.807795 | + | 0.300071i | ||||
\(970\) | −17.7432 | − | 29.8362i | −0.569701 | − | 0.957982i | ||||
\(971\) | 33.6174 | 1.07884 | 0.539418 | − | 0.842038i | \(-0.318644\pi\) | ||||
0.539418 | + | 0.842038i | \(0.318644\pi\) | |||||||
\(972\) | −17.6312 | − | 15.8153i | −0.565522 | − | 0.507276i | ||||
\(973\) | 21.9131 | − | 38.7652i | 0.702503 | − | 1.24276i | ||||
\(974\) | −46.5341 | + | 26.8665i | −1.49105 | + | 0.860857i | ||||
\(975\) | 37.4415 | + | 12.8187i | 1.19909 | + | 0.410527i | ||||
\(976\) | 33.3420 | + | 19.2500i | 1.06725 | + | 0.616178i | ||||
\(977\) | 24.4165 | − | 42.2905i | 0.781151 | − | 1.35299i | −0.150120 | − | 0.988668i | \(-0.547966\pi\) |
0.931271 | − | 0.364326i | \(-0.118701\pi\) | |||||||
\(978\) | −25.7875 | + | 4.37161i | −0.824593 | + | 0.139789i | ||||
\(979\) | −4.82452 | + | 2.78544i | −0.154192 | + | 0.0890230i | ||||
\(980\) | −12.5261 | − | 20.2163i | −0.400131 | − | 0.645786i | ||||
\(981\) | −41.2477 | − | 35.5499i | −1.31694 | − | 1.13502i | ||||
\(982\) | 36.1361i | 1.15315i | ||||||||
\(983\) | −35.7407 | + | 20.6349i | −1.13995 | + | 0.658152i | −0.946419 | − | 0.322942i | \(-0.895328\pi\) |
−0.193533 | + | 0.981094i | \(0.561995\pi\) | |||||||
\(984\) | 8.05944 | − | 6.67246i | 0.256926 | − | 0.212710i | ||||
\(985\) | −16.3147 | + | 29.1195i | −0.519831 | + | 0.927826i | ||||
\(986\) | −34.3068 | + | 59.4211i | −1.09255 | + | 1.89235i | ||||
\(987\) | 4.55948 | + | 25.4859i | 0.145130 | + | 0.811225i | ||||
\(988\) | 14.6374 | − | 8.45093i | 0.465679 | − | 0.268860i | ||||
\(989\) | − | 0.142264i | − | 0.00452373i | ||||||
\(990\) | −24.6438 | − | 4.35308i | −0.783232 | − | 0.138350i | ||||
\(991\) | −23.2358 | −0.738109 | −0.369054 | − | 0.929408i | \(-0.620318\pi\) | ||||
−0.369054 | + | 0.929408i | \(0.620318\pi\) | |||||||
\(992\) | −33.1453 | + | 19.1364i | −1.05236 | + | 0.607582i | ||||
\(993\) | −8.65394 | − | 51.0484i | −0.274625 | − | 1.61997i | ||||
\(994\) | −19.6195 | − | 33.2788i | −0.622293 | − | 1.05554i | ||||
\(995\) | −44.9189 | − | 25.1666i | −1.42403 | − | 0.797836i | ||||
\(996\) | −3.45813 | + | 9.30935i | −0.109575 | + | 0.294978i | ||||
\(997\) | −15.2901 | − | 26.4833i | −0.484243 | − | 0.838733i | 0.515593 | − | 0.856834i | \(-0.327572\pi\) |
−0.999836 | + | 0.0181001i | \(0.994238\pi\) | |||||||
\(998\) | 41.7669 | 1.32211 | ||||||||
\(999\) | −50.6061 | + | 27.8954i | −1.60111 | + | 0.882570i |
(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 | 315.2.z.b.104.10 | yes | 80 | |
3.2 | odd | 2 | 945.2.z.b.314.31 | 80 | |||
5.4 | even | 2 | inner | 315.2.z.b.104.31 | yes | 80 | |
7.6 | odd | 2 | inner | 315.2.z.b.104.9 | ✓ | 80 | |
9.2 | odd | 6 | inner | 315.2.z.b.209.32 | yes | 80 | |
9.7 | even | 3 | 945.2.z.b.629.10 | 80 | |||
15.14 | odd | 2 | 945.2.z.b.314.9 | 80 | |||
21.20 | even | 2 | 945.2.z.b.314.32 | 80 | |||
35.34 | odd | 2 | inner | 315.2.z.b.104.32 | yes | 80 | |
45.29 | odd | 6 | inner | 315.2.z.b.209.9 | yes | 80 | |
45.34 | even | 6 | 945.2.z.b.629.32 | 80 | |||
63.20 | even | 6 | inner | 315.2.z.b.209.31 | yes | 80 | |
63.34 | odd | 6 | 945.2.z.b.629.9 | 80 | |||
105.104 | even | 2 | 945.2.z.b.314.10 | 80 | |||
315.34 | odd | 6 | 945.2.z.b.629.31 | 80 | |||
315.209 | even | 6 | inner | 315.2.z.b.209.10 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.z.b.104.9 | ✓ | 80 | 7.6 | odd | 2 | inner | |
315.2.z.b.104.10 | yes | 80 | 1.1 | even | 1 | trivial | |
315.2.z.b.104.31 | yes | 80 | 5.4 | even | 2 | inner | |
315.2.z.b.104.32 | yes | 80 | 35.34 | odd | 2 | inner | |
315.2.z.b.209.9 | yes | 80 | 45.29 | odd | 6 | inner | |
315.2.z.b.209.10 | yes | 80 | 315.209 | even | 6 | inner | |
315.2.z.b.209.31 | yes | 80 | 63.20 | even | 6 | inner | |
315.2.z.b.209.32 | yes | 80 | 9.2 | odd | 6 | inner | |
945.2.z.b.314.9 | 80 | 15.14 | odd | 2 | |||
945.2.z.b.314.10 | 80 | 105.104 | even | 2 | |||
945.2.z.b.314.31 | 80 | 3.2 | odd | 2 | |||
945.2.z.b.314.32 | 80 | 21.20 | even | 2 | |||
945.2.z.b.629.9 | 80 | 63.34 | odd | 6 | |||
945.2.z.b.629.10 | 80 | 9.7 | even | 3 | |||
945.2.z.b.629.31 | 80 | 315.34 | odd | 6 | |||
945.2.z.b.629.32 | 80 | 45.34 | even | 6 |