Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(36,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.36");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.h (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 106.5 | ||
Character | \(\chi\) | \(=\) | 175.106 |
Dual form | 175.2.h.b.71.5 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.511192 | + | 1.57329i | 0.361467 | + | 1.11248i | 0.952164 | + | 0.305588i | \(0.0988530\pi\) |
−0.590697 | + | 0.806894i | \(0.701147\pi\) | |||||||
\(3\) | 1.62203 | − | 1.17848i | 0.936482 | − | 0.680394i | −0.0110890 | − | 0.999939i | \(-0.503530\pi\) |
0.947571 | + | 0.319544i | \(0.103530\pi\) | |||||||
\(4\) | −0.595879 | + | 0.432932i | −0.297940 | + | 0.216466i | ||||
\(5\) | −0.827625 | − | 2.07727i | −0.370125 | − | 0.928982i | ||||
\(6\) | 2.68325 | + | 1.94950i | 1.09543 | + | 0.795879i | ||||
\(7\) | −1.00000 | −0.377964 | ||||||||
\(8\) | 1.69090 | + | 1.22851i | 0.597824 | + | 0.434344i | ||||
\(9\) | 0.315138 | − | 0.969894i | 0.105046 | − | 0.323298i | ||||
\(10\) | 2.84506 | − | 2.36397i | 0.899687 | − | 0.747554i | ||||
\(11\) | 0.651769 | + | 2.00594i | 0.196516 | + | 0.604814i | 0.999956 | + | 0.00942742i | \(0.00300089\pi\) |
−0.803440 | + | 0.595386i | \(0.796999\pi\) | |||||||
\(12\) | −0.456337 | + | 1.40446i | −0.131733 | + | 0.405433i | ||||
\(13\) | −0.200407 | + | 0.616788i | −0.0555828 | + | 0.171066i | −0.974994 | − | 0.222232i | \(-0.928666\pi\) |
0.919411 | + | 0.393298i | \(0.128666\pi\) | |||||||
\(14\) | −0.511192 | − | 1.57329i | −0.136622 | − | 0.420478i | ||||
\(15\) | −3.79045 | − | 2.39406i | −0.978690 | − | 0.618144i | ||||
\(16\) | −1.52364 | + | 4.68927i | −0.380909 | + | 1.17232i | ||||
\(17\) | −0.514085 | − | 0.373505i | −0.124684 | − | 0.0905882i | 0.523695 | − | 0.851906i | \(-0.324553\pi\) |
−0.648380 | + | 0.761317i | \(0.724553\pi\) | |||||||
\(18\) | 1.68702 | 0.397634 | ||||||||
\(19\) | −5.01483 | − | 3.64348i | −1.15048 | − | 0.835872i | −0.161935 | − | 0.986801i | \(-0.551774\pi\) |
−0.988545 | + | 0.150929i | \(0.951774\pi\) | |||||||
\(20\) | 1.39248 | + | 0.879495i | 0.311368 | + | 0.196661i | ||||
\(21\) | −1.62203 | + | 1.17848i | −0.353957 | + | 0.257165i | ||||
\(22\) | −2.82274 | + | 2.05084i | −0.601810 | + | 0.437240i | ||||
\(23\) | 0.0164791 | + | 0.0507175i | 0.00343613 | + | 0.0105753i | 0.952760 | − | 0.303725i | \(-0.0982303\pi\) |
−0.949324 | + | 0.314300i | \(0.898230\pi\) | |||||||
\(24\) | 4.19047 | 0.855377 | ||||||||
\(25\) | −3.63007 | + | 3.43840i | −0.726014 | + | 0.687679i | ||||
\(26\) | −1.07283 | −0.210399 | ||||||||
\(27\) | 1.22685 | + | 3.77587i | 0.236108 | + | 0.726666i | ||||
\(28\) | 0.595879 | − | 0.432932i | 0.112611 | − | 0.0818164i | ||||
\(29\) | −3.40458 | + | 2.47357i | −0.632214 | + | 0.459330i | −0.857167 | − | 0.515039i | \(-0.827777\pi\) |
0.224953 | + | 0.974370i | \(0.427777\pi\) | |||||||
\(30\) | 1.82890 | − | 7.18729i | 0.333909 | − | 1.31221i | ||||
\(31\) | −1.94997 | − | 1.41674i | −0.350225 | − | 0.254453i | 0.398738 | − | 0.917065i | \(-0.369448\pi\) |
−0.748963 | + | 0.662611i | \(0.769448\pi\) | |||||||
\(32\) | −3.97630 | −0.702918 | ||||||||
\(33\) | 3.42115 | + | 2.48561i | 0.595545 | + | 0.432689i | ||||
\(34\) | 0.324834 | − | 0.999736i | 0.0557086 | − | 0.171453i | ||||
\(35\) | 0.827625 | + | 2.07727i | 0.139894 | + | 0.351122i | ||||
\(36\) | 0.232114 | + | 0.714372i | 0.0386856 | + | 0.119062i | ||||
\(37\) | 1.55198 | − | 4.77651i | 0.255144 | − | 0.785253i | −0.738657 | − | 0.674081i | \(-0.764540\pi\) |
0.993801 | − | 0.111172i | \(-0.0354604\pi\) | |||||||
\(38\) | 3.16871 | − | 9.75228i | 0.514032 | − | 1.58203i | ||||
\(39\) | 0.401804 | + | 1.23663i | 0.0643402 | + | 0.198019i | ||||
\(40\) | 1.15251 | − | 4.52920i | 0.182228 | − | 0.716129i | ||||
\(41\) | −0.851279 | + | 2.61997i | −0.132947 | + | 0.409170i | −0.995265 | − | 0.0971976i | \(-0.969012\pi\) |
0.862318 | + | 0.506368i | \(0.169012\pi\) | |||||||
\(42\) | −2.68325 | − | 1.94950i | −0.414035 | − | 0.300814i | ||||
\(43\) | −3.21572 | −0.490392 | −0.245196 | − | 0.969473i | \(-0.578852\pi\) | ||||
−0.245196 | + | 0.969473i | \(0.578852\pi\) | |||||||
\(44\) | −1.25681 | − | 0.913126i | −0.189471 | − | 0.137659i | ||||
\(45\) | −2.27554 | + | 0.148084i | −0.339218 | + | 0.0220751i | ||||
\(46\) | −0.0713691 | + | 0.0518527i | −0.0105228 | + | 0.00764527i | ||||
\(47\) | 10.2661 | − | 7.45873i | 1.49746 | − | 1.08797i | 0.526078 | − | 0.850436i | \(-0.323662\pi\) |
0.971380 | − | 0.237531i | \(-0.0763381\pi\) | |||||||
\(48\) | 3.05481 | + | 9.40174i | 0.440924 | + | 1.35702i | ||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | −7.26525 | − | 3.95346i | −1.02746 | − | 0.559104i | ||||
\(51\) | −1.27403 | −0.178400 | ||||||||
\(52\) | −0.147609 | − | 0.454294i | −0.0204697 | − | 0.0629992i | ||||
\(53\) | 9.67725 | − | 7.03094i | 1.32927 | − | 0.965773i | 0.329507 | − | 0.944153i | \(-0.393118\pi\) |
0.999766 | − | 0.0216203i | \(-0.00688250\pi\) | |||||||
\(54\) | −5.31336 | + | 3.86038i | −0.723057 | + | 0.525332i | ||||
\(55\) | 3.62745 | − | 3.01406i | 0.489125 | − | 0.406416i | ||||
\(56\) | −1.69090 | − | 1.22851i | −0.225956 | − | 0.164167i | ||||
\(57\) | −12.4280 | −1.64613 | ||||||||
\(58\) | −5.63203 | − | 4.09191i | −0.739521 | − | 0.537294i | ||||
\(59\) | −4.22100 | + | 12.9909i | −0.549528 | + | 1.69127i | 0.160446 | + | 0.987045i | \(0.448707\pi\) |
−0.709974 | + | 0.704228i | \(0.751293\pi\) | |||||||
\(60\) | 3.29511 | − | 0.214434i | 0.425397 | − | 0.0276833i | ||||
\(61\) | −1.26758 | − | 3.90120i | −0.162296 | − | 0.499497i | 0.836531 | − | 0.547920i | \(-0.184580\pi\) |
−0.998827 | + | 0.0484234i | \(0.984580\pi\) | |||||||
\(62\) | 1.23212 | − | 3.79209i | 0.156480 | − | 0.481595i | ||||
\(63\) | −0.315138 | + | 0.969894i | −0.0397036 | + | 0.122195i | ||||
\(64\) | 1.01462 | + | 3.12268i | 0.126828 | + | 0.390335i | ||||
\(65\) | 1.44709 | − | 0.0941716i | 0.179490 | − | 0.0116806i | ||||
\(66\) | −2.16171 | + | 6.65307i | −0.266088 | + | 0.818936i | ||||
\(67\) | −4.78095 | − | 3.47356i | −0.584086 | − | 0.424363i | 0.256109 | − | 0.966648i | \(-0.417559\pi\) |
−0.840195 | + | 0.542285i | \(0.817559\pi\) | |||||||
\(68\) | 0.468035 | 0.0567576 | ||||||||
\(69\) | 0.0864991 | + | 0.0628453i | 0.0104133 | + | 0.00756568i | ||||
\(70\) | −2.84506 | + | 2.36397i | −0.340050 | + | 0.282549i | ||||
\(71\) | 12.9665 | − | 9.42074i | 1.53884 | − | 1.11804i | 0.587790 | − | 0.809013i | \(-0.299998\pi\) |
0.951055 | − | 0.309023i | \(-0.100002\pi\) | |||||||
\(72\) | 1.72439 | − | 1.25284i | 0.203221 | − | 0.147649i | ||||
\(73\) | −1.69378 | − | 5.21293i | −0.198242 | − | 0.610128i | −0.999923 | − | 0.0123754i | \(-0.996061\pi\) |
0.801681 | − | 0.597752i | \(-0.203939\pi\) | |||||||
\(74\) | 8.30818 | 0.965806 | ||||||||
\(75\) | −1.83603 | + | 9.85516i | −0.212007 | + | 1.13798i | ||||
\(76\) | 4.56561 | 0.523711 | ||||||||
\(77\) | −0.651769 | − | 2.00594i | −0.0742760 | − | 0.228598i | ||||
\(78\) | −1.74017 | + | 1.26431i | −0.197035 | + | 0.143155i | ||||
\(79\) | −12.4145 | + | 9.01966i | −1.39674 | + | 1.01479i | −0.401652 | + | 0.915793i | \(0.631564\pi\) |
−0.995088 | + | 0.0989980i | \(0.968436\pi\) | |||||||
\(80\) | 11.0019 | − | 0.715961i | 1.23005 | − | 0.0800469i | ||||
\(81\) | 8.91489 | + | 6.47705i | 0.990544 | + | 0.719672i | ||||
\(82\) | −4.55713 | −0.503250 | ||||||||
\(83\) | 13.6108 | + | 9.88880i | 1.49398 | + | 1.08544i | 0.972705 | + | 0.232046i | \(0.0745420\pi\) |
0.521271 | + | 0.853391i | \(0.325458\pi\) | |||||||
\(84\) | 0.456337 | − | 1.40446i | 0.0497904 | − | 0.153239i | ||||
\(85\) | −0.350399 | + | 1.37701i | −0.0380061 | + | 0.149358i | ||||
\(86\) | −1.64385 | − | 5.05925i | −0.177261 | − | 0.545553i | ||||
\(87\) | −2.60730 | + | 8.02443i | −0.279532 | + | 0.860310i | ||||
\(88\) | −1.36224 | + | 4.19255i | −0.145216 | + | 0.446927i | ||||
\(89\) | 2.55816 | + | 7.87320i | 0.271164 | + | 0.834558i | 0.990209 | + | 0.139594i | \(0.0445797\pi\) |
−0.719045 | + | 0.694964i | \(0.755420\pi\) | |||||||
\(90\) | −1.39622 | − | 3.50438i | −0.147174 | − | 0.369394i | ||||
\(91\) | 0.200407 | − | 0.616788i | 0.0210083 | − | 0.0646570i | ||||
\(92\) | −0.0317768 | − | 0.0230872i | −0.00331296 | − | 0.00240700i | ||||
\(93\) | −4.83251 | −0.501108 | ||||||||
\(94\) | 16.9826 | + | 12.3386i | 1.75163 | + | 1.27263i | ||||
\(95\) | −3.41809 | + | 13.4326i | −0.350689 | + | 1.37815i | ||||
\(96\) | −6.44970 | + | 4.68598i | −0.658270 | + | 0.478261i | ||||
\(97\) | 6.99686 | − | 5.08352i | 0.710424 | − | 0.516153i | −0.172886 | − | 0.984942i | \(-0.555309\pi\) |
0.883310 | + | 0.468789i | \(0.155309\pi\) | |||||||
\(98\) | 0.511192 | + | 1.57329i | 0.0516382 | + | 0.158926i | ||||
\(99\) | 2.15094 | 0.216178 | ||||||||
\(100\) | 0.674494 | − | 3.62044i | 0.0674494 | − | 0.362044i | ||||
\(101\) | −9.17918 | −0.913362 | −0.456681 | − | 0.889631i | \(-0.650962\pi\) | ||||
−0.456681 | + | 0.889631i | \(0.650962\pi\) | |||||||
\(102\) | −0.651274 | − | 2.00442i | −0.0644858 | − | 0.198467i | ||||
\(103\) | −5.65323 | + | 4.10731i | −0.557030 | + | 0.404706i | −0.830371 | − | 0.557212i | \(-0.811871\pi\) |
0.273341 | + | 0.961917i | \(0.411871\pi\) | |||||||
\(104\) | −1.09660 | + | 0.796726i | −0.107530 | + | 0.0781254i | ||||
\(105\) | 3.79045 | + | 2.39406i | 0.369910 | + | 0.233636i | ||||
\(106\) | 16.0086 | + | 11.6309i | 1.55489 | + | 1.12970i | ||||
\(107\) | −7.19760 | −0.695818 | −0.347909 | − | 0.937528i | \(-0.613108\pi\) | ||||
−0.347909 | + | 0.937528i | \(0.613108\pi\) | |||||||
\(108\) | −2.36575 | − | 1.71882i | −0.227644 | − | 0.165393i | ||||
\(109\) | 2.93344 | − | 9.02819i | 0.280972 | − | 0.864743i | −0.706605 | − | 0.707608i | \(-0.749774\pi\) |
0.987577 | − | 0.157135i | \(-0.0502258\pi\) | |||||||
\(110\) | 6.59631 | + | 4.16625i | 0.628933 | + | 0.397237i | ||||
\(111\) | −3.11164 | − | 9.57664i | −0.295344 | − | 0.908974i | ||||
\(112\) | 1.52364 | − | 4.68927i | 0.143970 | − | 0.443095i | ||||
\(113\) | 5.25767 | − | 16.1815i | 0.494600 | − | 1.52222i | −0.322979 | − | 0.946406i | \(-0.604684\pi\) |
0.817579 | − | 0.575817i | \(-0.195316\pi\) | |||||||
\(114\) | −6.35308 | − | 19.5528i | −0.595021 | − | 1.83129i | ||||
\(115\) | 0.0917152 | − | 0.0762066i | 0.00855249 | − | 0.00710630i | ||||
\(116\) | 0.957830 | − | 2.94790i | 0.0889323 | − | 0.273705i | ||||
\(117\) | 0.535063 | + | 0.388746i | 0.0494666 | + | 0.0359396i | ||||
\(118\) | −22.5962 | −2.08015 | ||||||||
\(119\) | 0.514085 | + | 0.373505i | 0.0471261 | + | 0.0342391i | ||||
\(120\) | −3.46814 | − | 8.70473i | −0.316597 | − | 0.794629i | ||||
\(121\) | 5.30020 | − | 3.85082i | 0.481836 | − | 0.350074i | ||||
\(122\) | 5.48972 | − | 3.98852i | 0.497016 | − | 0.361103i | ||||
\(123\) | 1.70677 | + | 5.25289i | 0.153894 | + | 0.473637i | ||||
\(124\) | 1.77530 | 0.159426 | ||||||||
\(125\) | 10.1468 | + | 4.69492i | 0.907558 | + | 0.419927i | ||||
\(126\) | −1.68702 | −0.150291 | ||||||||
\(127\) | 1.96691 | + | 6.05353i | 0.174535 | + | 0.537164i | 0.999612 | − | 0.0278566i | \(-0.00886817\pi\) |
−0.825077 | + | 0.565021i | \(0.808868\pi\) | |||||||
\(128\) | −10.8280 | + | 7.86700i | −0.957069 | + | 0.695351i | ||||
\(129\) | −5.21601 | + | 3.78965i | −0.459244 | + | 0.333660i | ||||
\(130\) | 0.887902 | + | 2.22856i | 0.0778741 | + | 0.195457i | ||||
\(131\) | −11.9419 | − | 8.67629i | −1.04337 | − | 0.758051i | −0.0724277 | − | 0.997374i | \(-0.523075\pi\) |
−0.970940 | + | 0.239323i | \(0.923075\pi\) | |||||||
\(132\) | −3.11469 | −0.271099 | ||||||||
\(133\) | 5.01483 | + | 3.64348i | 0.434840 | + | 0.315930i | ||||
\(134\) | 3.02093 | − | 9.29746i | 0.260968 | − | 0.803178i | ||||
\(135\) | 6.82810 | − | 5.67350i | 0.587670 | − | 0.488297i | ||||
\(136\) | −0.410412 | − | 1.26312i | −0.0351926 | − | 0.108312i | ||||
\(137\) | 0.545107 | − | 1.67767i | 0.0465716 | − | 0.143333i | −0.925067 | − | 0.379805i | \(-0.875991\pi\) |
0.971638 | + | 0.236472i | \(0.0759912\pi\) | |||||||
\(138\) | −0.0546560 | + | 0.168214i | −0.00465263 | + | 0.0143193i | ||||
\(139\) | −6.40874 | − | 19.7241i | −0.543582 | − | 1.67297i | −0.724338 | − | 0.689445i | \(-0.757855\pi\) |
0.180756 | − | 0.983528i | \(-0.442145\pi\) | |||||||
\(140\) | −1.39248 | − | 0.879495i | −0.117686 | − | 0.0743309i | ||||
\(141\) | 7.86196 | − | 24.1966i | 0.662097 | − | 2.03772i | ||||
\(142\) | 21.4499 | + | 15.5843i | 1.80004 | + | 1.30780i | ||||
\(143\) | −1.36786 | −0.114386 | ||||||||
\(144\) | 4.06794 | + | 2.95553i | 0.338995 | + | 0.246294i | ||||
\(145\) | 7.95598 | + | 5.02502i | 0.660708 | + | 0.417306i | ||||
\(146\) | 7.33559 | − | 5.32962i | 0.607098 | − | 0.441082i | ||||
\(147\) | 1.62203 | − | 1.17848i | 0.133783 | − | 0.0971992i | ||||
\(148\) | 1.14311 | + | 3.51812i | 0.0939629 | + | 0.289188i | ||||
\(149\) | −3.41997 | −0.280175 | −0.140088 | − | 0.990139i | \(-0.544738\pi\) | ||||
−0.140088 | + | 0.990139i | \(0.544738\pi\) | |||||||
\(150\) | −16.4436 | + | 2.14927i | −1.34261 | + | 0.175487i | ||||
\(151\) | −1.35241 | −0.110058 | −0.0550289 | − | 0.998485i | \(-0.517525\pi\) | ||||
−0.0550289 | + | 0.998485i | \(0.517525\pi\) | |||||||
\(152\) | −4.00351 | − | 12.3215i | −0.324728 | − | 0.999409i | ||||
\(153\) | −0.524268 | + | 0.380903i | −0.0423845 | + | 0.0307942i | ||||
\(154\) | 2.82274 | − | 2.05084i | 0.227463 | − | 0.165261i | ||||
\(155\) | −1.32909 | + | 5.22313i | −0.106755 | + | 0.419532i | ||||
\(156\) | −0.774802 | − | 0.562926i | −0.0620338 | − | 0.0450702i | ||||
\(157\) | −5.90061 | −0.470920 | −0.235460 | − | 0.971884i | \(-0.575660\pi\) | ||||
−0.235460 | + | 0.971884i | \(0.575660\pi\) | |||||||
\(158\) | −20.5367 | − | 14.9208i | −1.63381 | − | 1.18703i | ||||
\(159\) | 7.41105 | − | 22.8089i | 0.587734 | − | 1.80886i | ||||
\(160\) | 3.29089 | + | 8.25984i | 0.260168 | + | 0.652998i | ||||
\(161\) | −0.0164791 | − | 0.0507175i | −0.00129874 | − | 0.00399710i | ||||
\(162\) | −5.63303 | + | 17.3367i | −0.442573 | + | 1.36210i | ||||
\(163\) | −7.15196 | + | 22.0115i | −0.560185 | + | 1.72407i | 0.121657 | + | 0.992572i | \(0.461179\pi\) |
−0.681842 | + | 0.731499i | \(0.738821\pi\) | |||||||
\(164\) | −0.627007 | − | 1.92973i | −0.0489610 | − | 0.150687i | ||||
\(165\) | 2.33184 | − | 9.16379i | 0.181534 | − | 0.713400i | ||||
\(166\) | −8.60021 | + | 26.4687i | −0.667506 | + | 2.05437i | ||||
\(167\) | 9.07006 | + | 6.58979i | 0.701863 | + | 0.509933i | 0.880538 | − | 0.473975i | \(-0.157181\pi\) |
−0.178676 | + | 0.983908i | \(0.557181\pi\) | |||||||
\(168\) | −4.19047 | −0.323302 | ||||||||
\(169\) | 10.1770 | + | 7.39399i | 0.782843 | + | 0.568769i | ||||
\(170\) | −2.34556 | + | 0.152640i | −0.179896 | + | 0.0117070i | ||||
\(171\) | −5.11415 | + | 3.71565i | −0.391089 | + | 0.284143i | ||||
\(172\) | 1.91618 | − | 1.39219i | 0.146107 | − | 0.106153i | ||||
\(173\) | −3.97230 | − | 12.2255i | −0.302009 | − | 0.929487i | −0.980777 | − | 0.195134i | \(-0.937486\pi\) |
0.678768 | − | 0.734353i | \(-0.262514\pi\) | |||||||
\(174\) | −13.9576 | −1.05812 | ||||||||
\(175\) | 3.63007 | − | 3.43840i | 0.274408 | − | 0.259918i | ||||
\(176\) | −10.3995 | −0.783888 | ||||||||
\(177\) | 8.46288 | + | 26.0461i | 0.636109 | + | 1.95774i | ||||
\(178\) | −11.0791 | + | 8.04943i | −0.830413 | + | 0.603330i | ||||
\(179\) | −14.1838 | + | 10.3051i | −1.06014 | + | 0.770240i | −0.974115 | − | 0.226052i | \(-0.927418\pi\) |
−0.0860297 | + | 0.996293i | \(0.527418\pi\) | |||||||
\(180\) | 1.29184 | − | 1.07339i | 0.0962880 | − | 0.0800061i | ||||
\(181\) | −0.237517 | − | 0.172566i | −0.0176545 | − | 0.0128267i | 0.578923 | − | 0.815382i | \(-0.303473\pi\) |
−0.596578 | + | 0.802555i | \(0.703473\pi\) | |||||||
\(182\) | 1.07283 | 0.0795235 | ||||||||
\(183\) | −6.65352 | − | 4.83407i | −0.491843 | − | 0.357345i | ||||
\(184\) | −0.0344425 | + | 0.106003i | −0.00253913 | + | 0.00781464i | ||||
\(185\) | −11.2065 | + | 0.729280i | −0.823921 | + | 0.0536178i | ||||
\(186\) | −2.47034 | − | 7.60292i | −0.181134 | − | 0.557474i | ||||
\(187\) | 0.414163 | − | 1.27466i | 0.0302866 | − | 0.0932126i | ||||
\(188\) | −2.88821 | + | 8.88900i | −0.210644 | + | 0.648297i | ||||
\(189\) | −1.22685 | − | 3.77587i | −0.0892404 | − | 0.274654i | ||||
\(190\) | −22.8806 | + | 1.48898i | −1.65993 | + | 0.108022i | ||||
\(191\) | 1.25219 | − | 3.85384i | 0.0906052 | − | 0.278854i | −0.895478 | − | 0.445105i | \(-0.853166\pi\) |
0.986083 | + | 0.166251i | \(0.0531662\pi\) | |||||||
\(192\) | 5.32576 | + | 3.86939i | 0.384354 | + | 0.279249i | ||||
\(193\) | 16.3498 | 1.17688 | 0.588441 | − | 0.808540i | \(-0.299742\pi\) | ||||
0.588441 | + | 0.808540i | \(0.299742\pi\) | |||||||
\(194\) | 11.5746 | + | 8.40942i | 0.831006 | + | 0.603761i | ||||
\(195\) | 2.23626 | − | 1.85812i | 0.160142 | − | 0.133063i | ||||
\(196\) | −0.595879 | + | 0.432932i | −0.0425628 | + | 0.0309237i | ||||
\(197\) | 6.47162 | − | 4.70190i | 0.461084 | − | 0.334997i | −0.332873 | − | 0.942972i | \(-0.608018\pi\) |
0.793956 | + | 0.607975i | \(0.208018\pi\) | |||||||
\(198\) | 1.09955 | + | 3.38405i | 0.0781413 | + | 0.240494i | ||||
\(199\) | −0.666170 | −0.0472235 | −0.0236118 | − | 0.999721i | \(-0.507517\pi\) | ||||
−0.0236118 | + | 0.999721i | \(0.507517\pi\) | |||||||
\(200\) | −10.3622 | + | 1.35440i | −0.732718 | + | 0.0957708i | ||||
\(201\) | −11.8484 | −0.835720 | ||||||||
\(202\) | −4.69232 | − | 14.4415i | −0.330150 | − | 1.01610i | ||||
\(203\) | 3.40458 | − | 2.47357i | 0.238954 | − | 0.173611i | ||||
\(204\) | 0.759169 | − | 0.551569i | 0.0531525 | − | 0.0386175i | ||||
\(205\) | 6.14691 | − | 0.400018i | 0.429319 | − | 0.0279385i | ||||
\(206\) | −9.35187 | − | 6.79453i | −0.651575 | − | 0.473397i | ||||
\(207\) | 0.0543837 | 0.00377993 | ||||||||
\(208\) | −2.58694 | − | 1.87952i | −0.179372 | − | 0.130321i | ||||
\(209\) | 4.04010 | − | 12.4341i | 0.279459 | − | 0.860088i | ||||
\(210\) | −1.82890 | + | 7.18729i | −0.126206 | + | 0.495970i | ||||
\(211\) | 5.21164 | + | 16.0398i | 0.358784 | + | 1.10422i | 0.953783 | + | 0.300497i | \(0.0971527\pi\) |
−0.594998 | + | 0.803727i | \(0.702847\pi\) | |||||||
\(212\) | −2.72256 | + | 8.37918i | −0.186986 | + | 0.575484i | ||||
\(213\) | 9.93005 | − | 30.5615i | 0.680396 | − | 2.09404i | ||||
\(214\) | −3.67935 | − | 11.3239i | −0.251515 | − | 0.774085i | ||||
\(215\) | 2.66141 | + | 6.67990i | 0.181507 | + | 0.455566i | ||||
\(216\) | −2.56421 | + | 7.89182i | −0.174472 | + | 0.536970i | ||||
\(217\) | 1.94997 | + | 1.41674i | 0.132373 | + | 0.0961743i | ||||
\(218\) | 15.7035 | 1.06357 | ||||||||
\(219\) | −8.89070 | − | 6.45947i | −0.600778 | − | 0.436491i | ||||
\(220\) | −0.856638 | + | 3.36646i | −0.0577545 | + | 0.226966i | ||||
\(221\) | 0.333399 | − | 0.242229i | 0.0224269 | − | 0.0162941i | ||||
\(222\) | 13.4762 | − | 9.79100i | 0.904460 | − | 0.657129i | ||||
\(223\) | −1.24083 | − | 3.81889i | −0.0830923 | − | 0.255732i | 0.900876 | − | 0.434077i | \(-0.142926\pi\) |
−0.983968 | + | 0.178345i | \(0.942926\pi\) | |||||||
\(224\) | 3.97630 | 0.265678 | ||||||||
\(225\) | 2.19091 | + | 4.60435i | 0.146060 | + | 0.306957i | ||||
\(226\) | 28.1457 | 1.87223 | ||||||||
\(227\) | 0.0841668 | + | 0.259039i | 0.00558635 | + | 0.0171930i | 0.953811 | − | 0.300408i | \(-0.0971228\pi\) |
−0.948224 | + | 0.317601i | \(0.897123\pi\) | |||||||
\(228\) | 7.40558 | − | 5.38047i | 0.490446 | − | 0.356330i | ||||
\(229\) | 20.3763 | − | 14.8043i | 1.34650 | − | 0.978293i | 0.347327 | − | 0.937744i | \(-0.387089\pi\) |
0.999178 | − | 0.0405490i | \(-0.0129107\pi\) | |||||||
\(230\) | 0.166779 | + | 0.105338i | 0.0109971 | + | 0.00694579i | ||||
\(231\) | −3.42115 | − | 2.48561i | −0.225095 | − | 0.163541i | ||||
\(232\) | −8.79561 | −0.577460 | ||||||||
\(233\) | 13.9831 | + | 10.1593i | 0.916063 | + | 0.665559i | 0.942541 | − | 0.334091i | \(-0.108429\pi\) |
−0.0264779 | + | 0.999649i | \(0.508429\pi\) | |||||||
\(234\) | −0.338089 | + | 1.04053i | −0.0221016 | + | 0.0680217i | ||||
\(235\) | −23.9902 | − | 15.1523i | −1.56495 | − | 0.988427i | ||||
\(236\) | −3.10897 | − | 9.56842i | −0.202377 | − | 0.622851i | ||||
\(237\) | −9.50728 | + | 29.2604i | −0.617564 | + | 1.90067i | ||||
\(238\) | −0.324834 | + | 0.999736i | −0.0210559 | + | 0.0648033i | ||||
\(239\) | 2.33795 | + | 7.19548i | 0.151230 | + | 0.465437i | 0.997759 | − | 0.0669045i | \(-0.0213123\pi\) |
−0.846530 | + | 0.532341i | \(0.821312\pi\) | |||||||
\(240\) | 17.0017 | − | 14.1268i | 1.09745 | − | 0.911879i | ||||
\(241\) | 2.26902 | − | 6.98332i | 0.146160 | − | 0.449835i | −0.850998 | − | 0.525169i | \(-0.824002\pi\) |
0.997158 | + | 0.0753337i | \(0.0240022\pi\) | |||||||
\(242\) | 8.76786 | + | 6.37022i | 0.563619 | + | 0.409493i | ||||
\(243\) | 10.1828 | 0.653226 | ||||||||
\(244\) | 2.44427 | + | 1.77587i | 0.156479 | + | 0.113688i | ||||
\(245\) | −0.827625 | − | 2.07727i | −0.0528751 | − | 0.132712i | ||||
\(246\) | −7.39182 | + | 5.37047i | −0.471285 | + | 0.342409i | ||||
\(247\) | 3.25226 | − | 2.36291i | 0.206936 | − | 0.150348i | ||||
\(248\) | −1.55673 | − | 4.79112i | −0.0988524 | − | 0.304236i | ||||
\(249\) | 33.7309 | 2.13761 | ||||||||
\(250\) | −2.19949 | + | 18.3638i | −0.139108 | + | 1.16143i | ||||
\(251\) | −15.6474 | −0.987658 | −0.493829 | − | 0.869559i | \(-0.664403\pi\) | ||||
−0.493829 | + | 0.869559i | \(0.664403\pi\) | |||||||
\(252\) | −0.232114 | − | 0.714372i | −0.0146218 | − | 0.0450012i | ||||
\(253\) | −0.0909956 | + | 0.0661122i | −0.00572085 | + | 0.00415644i | ||||
\(254\) | −8.51847 | + | 6.18903i | −0.534496 | + | 0.388334i | ||||
\(255\) | 1.05442 | + | 2.64650i | 0.0660304 | + | 0.165730i | ||||
\(256\) | −12.5996 | − | 9.15415i | −0.787476 | − | 0.572134i | ||||
\(257\) | −18.9910 | −1.18462 | −0.592312 | − | 0.805709i | \(-0.701785\pi\) | ||||
−0.592312 | + | 0.805709i | \(0.701785\pi\) | |||||||
\(258\) | −8.62859 | − | 6.26904i | −0.537192 | − | 0.390293i | ||||
\(259\) | −1.55198 | + | 4.77651i | −0.0964355 | + | 0.296798i | ||||
\(260\) | −0.821524 | + | 0.682608i | −0.0509488 | + | 0.0423336i | ||||
\(261\) | 1.32619 | + | 4.08159i | 0.0820891 | + | 0.252644i | ||||
\(262\) | 7.54570 | − | 23.2233i | 0.466175 | − | 1.43474i | ||||
\(263\) | −7.48241 | + | 23.0285i | −0.461385 | + | 1.42000i | 0.402087 | + | 0.915601i | \(0.368285\pi\) |
−0.863472 | + | 0.504396i | \(0.831715\pi\) | |||||||
\(264\) | 2.73122 | + | 8.40584i | 0.168095 | + | 0.517343i | ||||
\(265\) | −22.6143 | − | 14.2833i | −1.38918 | − | 0.877413i | ||||
\(266\) | −3.16871 | + | 9.75228i | −0.194286 | + | 0.597950i | ||||
\(267\) | 13.4278 | + | 9.75588i | 0.821769 | + | 0.597050i | ||||
\(268\) | 4.35268 | 0.265882 | ||||||||
\(269\) | 12.6315 | + | 9.17729i | 0.770154 | + | 0.559549i | 0.902008 | − | 0.431720i | \(-0.142093\pi\) |
−0.131854 | + | 0.991269i | \(0.542093\pi\) | |||||||
\(270\) | 12.4165 | + | 7.84232i | 0.755645 | + | 0.477268i | ||||
\(271\) | −8.32345 | + | 6.04734i | −0.505614 | + | 0.367350i | −0.811157 | − | 0.584828i | \(-0.801162\pi\) |
0.305543 | + | 0.952178i | \(0.401162\pi\) | |||||||
\(272\) | 2.53475 | − | 1.84160i | 0.153692 | − | 0.111663i | ||||
\(273\) | −0.401804 | − | 1.23663i | −0.0243183 | − | 0.0748440i | ||||
\(274\) | 2.91810 | 0.176289 | ||||||||
\(275\) | −9.26319 | − | 5.04066i | −0.558591 | − | 0.303963i | ||||
\(276\) | −0.0787507 | −0.00474024 | ||||||||
\(277\) | −1.99269 | − | 6.13287i | −0.119729 | − | 0.368488i | 0.873175 | − | 0.487407i | \(-0.162057\pi\) |
−0.992904 | + | 0.118919i | \(0.962057\pi\) | |||||||
\(278\) | 27.7555 | − | 20.1656i | 1.66466 | − | 1.20945i | ||||
\(279\) | −1.98859 | + | 1.44480i | −0.119054 | + | 0.0864977i | ||||
\(280\) | −1.15251 | + | 4.52920i | −0.0688758 | + | 0.270671i | ||||
\(281\) | 7.47619 | + | 5.43177i | 0.445992 | + | 0.324032i | 0.788011 | − | 0.615661i | \(-0.211111\pi\) |
−0.342019 | + | 0.939693i | \(0.611111\pi\) | |||||||
\(282\) | 42.0872 | 2.50626 | ||||||||
\(283\) | 7.41680 | + | 5.38862i | 0.440883 | + | 0.320320i | 0.785986 | − | 0.618245i | \(-0.212156\pi\) |
−0.345103 | + | 0.938565i | \(0.612156\pi\) | |||||||
\(284\) | −3.64795 | + | 11.2272i | −0.216466 | + | 0.666215i | ||||
\(285\) | 10.2857 | + | 25.8162i | 0.609273 | + | 1.52922i | ||||
\(286\) | −0.699238 | − | 2.15203i | −0.0413468 | − | 0.127252i | ||||
\(287\) | 0.851279 | − | 2.61997i | 0.0502494 | − | 0.154652i | ||||
\(288\) | −1.25308 | + | 3.85659i | −0.0738386 | + | 0.227252i | ||||
\(289\) | −5.12851 | − | 15.7839i | −0.301677 | − | 0.928467i | ||||
\(290\) | −3.83877 | + | 15.0858i | −0.225420 | + | 0.885868i | ||||
\(291\) | 5.35835 | − | 16.4913i | 0.314112 | − | 0.966737i | ||||
\(292\) | 3.26613 | + | 2.37299i | 0.191136 | + | 0.138868i | ||||
\(293\) | −7.85050 | −0.458631 | −0.229316 | − | 0.973352i | \(-0.573649\pi\) | ||||
−0.229316 | + | 0.973352i | \(0.573649\pi\) | |||||||
\(294\) | 2.68325 | + | 1.94950i | 0.156491 | + | 0.113697i | ||||
\(295\) | 30.4790 | − | 1.98346i | 1.77456 | − | 0.115482i | ||||
\(296\) | 8.49224 | − | 6.16998i | 0.493602 | − | 0.358623i | ||||
\(297\) | −6.77453 | + | 4.92199i | −0.393098 | + | 0.285603i | ||||
\(298\) | −1.74826 | − | 5.38060i | −0.101274 | − | 0.311690i | ||||
\(299\) | −0.0345845 | −0.00200007 | ||||||||
\(300\) | −3.17256 | − | 6.66736i | −0.183168 | − | 0.384940i | ||||
\(301\) | 3.21572 | 0.185351 | ||||||||
\(302\) | −0.691342 | − | 2.12773i | −0.0397823 | − | 0.122437i | ||||
\(303\) | −14.8889 | + | 10.8175i | −0.855347 | + | 0.621446i | ||||
\(304\) | 24.7261 | − | 17.9645i | 1.41814 | − | 1.03034i | ||||
\(305\) | −7.05475 | + | 5.86182i | −0.403954 | + | 0.335647i | ||||
\(306\) | −0.867270 | − | 0.630109i | −0.0495785 | − | 0.0360209i | ||||
\(307\) | 13.8648 | 0.791308 | 0.395654 | − | 0.918400i | \(-0.370518\pi\) | ||||
0.395654 | + | 0.918400i | \(0.370518\pi\) | |||||||
\(308\) | 1.25681 | + | 0.913126i | 0.0716134 | + | 0.0520302i | ||||
\(309\) | −4.32936 | + | 13.3244i | −0.246289 | + | 0.757999i | ||||
\(310\) | −8.89691 | + | 0.578978i | −0.505310 | + | 0.0328837i | ||||
\(311\) | 2.54580 | + | 7.83517i | 0.144359 | + | 0.444292i | 0.996928 | − | 0.0783232i | \(-0.0249566\pi\) |
−0.852569 | + | 0.522615i | \(0.824957\pi\) | |||||||
\(312\) | −0.839798 | + | 2.58463i | −0.0475442 | + | 0.146326i | ||||
\(313\) | −8.28517 | + | 25.4991i | −0.468306 | + | 1.44130i | 0.386471 | + | 0.922301i | \(0.373694\pi\) |
−0.854777 | + | 0.518995i | \(0.826306\pi\) | |||||||
\(314\) | −3.01634 | − | 9.28335i | −0.170222 | − | 0.523890i | ||||
\(315\) | 2.27554 | − | 0.148084i | 0.128212 | − | 0.00834359i | ||||
\(316\) | 3.49264 | − | 10.7493i | 0.196477 | − | 0.604693i | ||||
\(317\) | −17.0848 | − | 12.4128i | −0.959579 | − | 0.697175i | −0.00652571 | − | 0.999979i | \(-0.502077\pi\) |
−0.953053 | + | 0.302804i | \(0.902077\pi\) | |||||||
\(318\) | 39.6733 | 2.22477 | ||||||||
\(319\) | −7.18083 | − | 5.21718i | −0.402049 | − | 0.292106i | ||||
\(320\) | 5.64692 | − | 4.69205i | 0.315672 | − | 0.262293i | ||||
\(321\) | −11.6748 | + | 8.48221i | −0.651622 | + | 0.473431i | ||||
\(322\) | 0.0713691 | − | 0.0518527i | 0.00397725 | − | 0.00288964i | ||||
\(323\) | 1.21719 | + | 3.74612i | 0.0677262 | + | 0.208440i | ||||
\(324\) | −8.11632 | −0.450907 | ||||||||
\(325\) | −1.39327 | − | 2.92806i | −0.0772848 | − | 0.162420i | ||||
\(326\) | −38.2864 | −2.12049 | ||||||||
\(327\) | −5.88138 | − | 18.1010i | −0.325241 | − | 1.00099i | ||||
\(328\) | −4.65809 | + | 3.38430i | −0.257200 | + | 0.186867i | ||||
\(329\) | −10.2661 | + | 7.45873i | −0.565986 | + | 0.411213i | ||||
\(330\) | 15.6093 | − | 1.01579i | 0.859263 | − | 0.0559177i | ||||
\(331\) | 3.88896 | + | 2.82549i | 0.213756 | + | 0.155303i | 0.689512 | − | 0.724275i | \(-0.257825\pi\) |
−0.475755 | + | 0.879578i | \(0.657825\pi\) | |||||||
\(332\) | −12.3916 | −0.680075 | ||||||||
\(333\) | −4.14362 | − | 3.01051i | −0.227069 | − | 0.164975i | ||||
\(334\) | −5.73108 | + | 17.6385i | −0.313591 | + | 0.965133i | ||||
\(335\) | −3.25868 | + | 12.8061i | −0.178041 | + | 0.699673i | ||||
\(336\) | −3.05481 | − | 9.40174i | −0.166653 | − | 0.512907i | ||||
\(337\) | −1.44218 | + | 4.43857i | −0.0785605 | + | 0.241784i | −0.982622 | − | 0.185618i | \(-0.940571\pi\) |
0.904061 | + | 0.427402i | \(0.140571\pi\) | |||||||
\(338\) | −6.43049 | + | 19.7910i | −0.349773 | + | 1.07649i | ||||
\(339\) | −10.5413 | − | 32.4429i | −0.572527 | − | 1.76206i | ||||
\(340\) | −0.387358 | − | 0.972233i | −0.0210074 | − | 0.0527267i | ||||
\(341\) | 1.57096 | − | 4.83491i | 0.0850721 | − | 0.261825i | ||||
\(342\) | −8.46009 | − | 6.14662i | −0.457469 | − | 0.332371i | ||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | −5.43746 | − | 3.95055i | −0.293168 | − | 0.212999i | ||||
\(345\) | 0.0589575 | − | 0.231694i | 0.00317417 | − | 0.0124740i | ||||
\(346\) | 17.2036 | − | 12.4991i | 0.924871 | − | 0.671958i | ||||
\(347\) | −15.0616 | + | 10.9429i | −0.808551 | + | 0.587447i | −0.913410 | − | 0.407040i | \(-0.866561\pi\) |
0.104859 | + | 0.994487i | \(0.466561\pi\) | |||||||
\(348\) | −1.92040 | − | 5.91037i | −0.102944 | − | 0.316829i | ||||
\(349\) | −16.6275 | −0.890049 | −0.445025 | − | 0.895518i | \(-0.646805\pi\) | ||||
−0.445025 | + | 0.895518i | \(0.646805\pi\) | |||||||
\(350\) | 7.26525 | + | 3.95346i | 0.388344 | + | 0.211321i | ||||
\(351\) | −2.57478 | −0.137432 | ||||||||
\(352\) | −2.59163 | − | 7.97622i | −0.138134 | − | 0.425134i | ||||
\(353\) | −15.2926 | + | 11.1107i | −0.813940 | + | 0.591362i | −0.914970 | − | 0.403521i | \(-0.867786\pi\) |
0.101030 | + | 0.994883i | \(0.467786\pi\) | |||||||
\(354\) | −36.6518 | + | 26.6291i | −1.94802 | + | 1.41532i | ||||
\(355\) | −30.3008 | − | 19.1381i | −1.60820 | − | 1.01575i | ||||
\(356\) | −4.93291 | − | 3.58397i | −0.261444 | − | 0.189950i | ||||
\(357\) | 1.27403 | 0.0674289 | ||||||||
\(358\) | −23.4635 | − | 17.0472i | −1.24009 | − | 0.900975i | ||||
\(359\) | 1.45389 | − | 4.47463i | 0.0767336 | − | 0.236162i | −0.905331 | − | 0.424707i | \(-0.860377\pi\) |
0.982065 | + | 0.188545i | \(0.0603772\pi\) | |||||||
\(360\) | −4.02964 | − | 2.54514i | −0.212381 | − | 0.134140i | ||||
\(361\) | 6.00217 | + | 18.4728i | 0.315904 | + | 0.972252i | ||||
\(362\) | 0.150079 | − | 0.461897i | 0.00788799 | − | 0.0242767i | ||||
\(363\) | 4.05900 | − | 12.4923i | 0.213042 | − | 0.655677i | ||||
\(364\) | 0.147609 | + | 0.454294i | 0.00773681 | + | 0.0238115i | ||||
\(365\) | −9.42683 | + | 7.83280i | −0.493423 | + | 0.409987i | ||||
\(366\) | 4.20415 | − | 12.9390i | 0.219754 | − | 0.676334i | ||||
\(367\) | −26.5694 | − | 19.3038i | −1.38691 | − | 1.00765i | −0.996196 | − | 0.0871400i | \(-0.972227\pi\) |
−0.390717 | − | 0.920511i | \(-0.627773\pi\) | |||||||
\(368\) | −0.262936 | −0.0137065 | ||||||||
\(369\) | 2.27282 | + | 1.65130i | 0.118318 | + | 0.0859632i | ||||
\(370\) | −6.87606 | − | 17.2583i | −0.357469 | − | 0.897216i | ||||
\(371\) | −9.67725 | + | 7.03094i | −0.502418 | + | 0.365028i | ||||
\(372\) | 2.87959 | − | 2.09215i | 0.149300 | − | 0.108473i | ||||
\(373\) | −4.73897 | − | 14.5851i | −0.245375 | − | 0.755185i | −0.995575 | − | 0.0939744i | \(-0.970043\pi\) |
0.750200 | − | 0.661211i | \(-0.229957\pi\) | |||||||
\(374\) | 2.21713 | 0.114645 | ||||||||
\(375\) | 21.9913 | − | 4.34246i | 1.13563 | − | 0.224243i | ||||
\(376\) | 26.5220 | 1.36777 | ||||||||
\(377\) | −0.843369 | − | 2.59562i | −0.0434357 | − | 0.133681i | ||||
\(378\) | 5.31336 | − | 3.86038i | 0.273290 | − | 0.198557i | ||||
\(379\) | −1.33880 | + | 0.972698i | −0.0687697 | + | 0.0499641i | −0.621639 | − | 0.783304i | \(-0.713533\pi\) |
0.552869 | + | 0.833268i | \(0.313533\pi\) | |||||||
\(380\) | −3.77861 | − | 9.48399i | −0.193839 | − | 0.486518i | ||||
\(381\) | 10.3244 | + | 7.50108i | 0.528932 | + | 0.384292i | ||||
\(382\) | 6.70331 | 0.342971 | ||||||||
\(383\) | 2.60029 | + | 1.88922i | 0.132868 | + | 0.0965346i | 0.652234 | − | 0.758017i | \(-0.273832\pi\) |
−0.519366 | + | 0.854552i | \(0.673832\pi\) | |||||||
\(384\) | −8.29231 | + | 25.5211i | −0.423165 | + | 1.30237i | ||||
\(385\) | −3.62745 | + | 3.01406i | −0.184872 | + | 0.153611i | ||||
\(386\) | 8.35787 | + | 25.7229i | 0.425404 | + | 1.30926i | ||||
\(387\) | −1.01339 | + | 3.11890i | −0.0515137 | + | 0.158543i | ||||
\(388\) | −1.96847 | + | 6.05833i | −0.0999339 | + | 0.307565i | ||||
\(389\) | 2.43865 | + | 7.50540i | 0.123645 | + | 0.380539i | 0.993652 | − | 0.112500i | \(-0.0358860\pi\) |
−0.870007 | + | 0.493039i | \(0.835886\pi\) | |||||||
\(390\) | 4.06651 | + | 2.56842i | 0.205916 | + | 0.130057i | ||||
\(391\) | 0.0104716 | − | 0.0322281i | 0.000529569 | − | 0.00162985i | ||||
\(392\) | 1.69090 | + | 1.22851i | 0.0854034 | + | 0.0620492i | ||||
\(393\) | −29.5950 | −1.49287 | ||||||||
\(394\) | 10.7057 | + | 7.77813i | 0.539344 | + | 0.391857i | ||||
\(395\) | 29.0108 | + | 18.3233i | 1.45969 | + | 0.921946i | ||||
\(396\) | −1.28170 | + | 0.931212i | −0.0644080 | + | 0.0467952i | ||||
\(397\) | −11.7912 | + | 8.56682i | −0.591784 | + | 0.429956i | −0.842953 | − | 0.537987i | \(-0.819185\pi\) |
0.251169 | + | 0.967943i | \(0.419185\pi\) | |||||||
\(398\) | −0.340541 | − | 1.04808i | −0.0170698 | − | 0.0525353i | ||||
\(399\) | 12.4280 | 0.622177 | ||||||||
\(400\) | −10.5927 | − | 22.2613i | −0.529633 | − | 1.11306i | ||||
\(401\) | 37.2775 | 1.86155 | 0.930775 | − | 0.365593i | \(-0.119134\pi\) | ||||
0.930775 | + | 0.365593i | \(0.119134\pi\) | |||||||
\(402\) | −6.05680 | − | 18.6409i | −0.302085 | − | 0.929724i | ||||
\(403\) | 1.26461 | − | 0.918795i | 0.0629949 | − | 0.0457684i | ||||
\(404\) | 5.46968 | − | 3.97396i | 0.272127 | − | 0.197712i | ||||
\(405\) | 6.07636 | − | 23.8792i | 0.301937 | − | 1.18657i | ||||
\(406\) | 5.63203 | + | 4.09191i | 0.279513 | + | 0.203078i | ||||
\(407\) | 10.5929 | 0.525072 | ||||||||
\(408\) | −2.15426 | − | 1.56516i | −0.106652 | − | 0.0774871i | ||||
\(409\) | −4.89309 | + | 15.0594i | −0.241948 | + | 0.744639i | 0.754176 | + | 0.656673i | \(0.228037\pi\) |
−0.996123 | + | 0.0879661i | \(0.971963\pi\) | |||||||
\(410\) | 3.77159 | + | 9.46636i | 0.186266 | + | 0.467510i | ||||
\(411\) | −1.09291 | − | 3.36363i | −0.0539092 | − | 0.165916i | ||||
\(412\) | 1.59046 | − | 4.89493i | 0.0783562 | − | 0.241156i | ||||
\(413\) | 4.22100 | − | 12.9909i | 0.207702 | − | 0.639241i | ||||
\(414\) | 0.0278005 | + | 0.0855612i | 0.00136632 | + | 0.00420510i | ||||
\(415\) | 9.27706 | − | 36.4574i | 0.455393 | − | 1.78962i | ||||
\(416\) | 0.796877 | − | 2.45254i | 0.0390701 | − | 0.120245i | ||||
\(417\) | −33.6395 | − | 24.4406i | −1.64734 | − | 1.19686i | ||||
\(418\) | 21.6277 | 1.05785 | ||||||||
\(419\) | −11.9829 | − | 8.70609i | −0.585404 | − | 0.425321i | 0.255265 | − | 0.966871i | \(-0.417837\pi\) |
−0.840668 | + | 0.541551i | \(0.817837\pi\) | |||||||
\(420\) | −3.29511 | + | 0.214434i | −0.160785 | + | 0.0104633i | ||||
\(421\) | −4.87069 | + | 3.53876i | −0.237383 | + | 0.172469i | −0.700116 | − | 0.714029i | \(-0.746869\pi\) |
0.462734 | + | 0.886497i | \(0.346869\pi\) | |||||||
\(422\) | −22.5710 | + | 16.3988i | −1.09874 | + | 0.798282i | ||||
\(423\) | −3.99895 | − | 12.3075i | −0.194436 | − | 0.598411i | ||||
\(424\) | 25.0009 | 1.21415 | ||||||||
\(425\) | 3.15043 | − | 0.411780i | 0.152818 | − | 0.0199743i | ||||
\(426\) | 53.1582 | 2.57552 | ||||||||
\(427\) | 1.26758 | + | 3.90120i | 0.0613423 | + | 0.188792i | ||||
\(428\) | 4.28890 | − | 3.11607i | 0.207312 | − | 0.150621i | ||||
\(429\) | −2.21871 | + | 1.61199i | −0.107121 | + | 0.0778276i | ||||
\(430\) | −9.14891 | + | 7.60187i | −0.441200 | + | 0.366595i | ||||
\(431\) | 7.81901 | + | 5.68085i | 0.376629 | + | 0.273637i | 0.759954 | − | 0.649977i | \(-0.225221\pi\) |
−0.383326 | + | 0.923613i | \(0.625221\pi\) | |||||||
\(432\) | −19.5753 | −0.941819 | ||||||||
\(433\) | −9.09422 | − | 6.60733i | −0.437040 | − | 0.317528i | 0.347418 | − | 0.937711i | \(-0.387059\pi\) |
−0.784458 | + | 0.620182i | \(0.787059\pi\) | |||||||
\(434\) | −1.23212 | + | 3.79209i | −0.0591438 | + | 0.182026i | ||||
\(435\) | 18.8268 | − | 1.22518i | 0.902674 | − | 0.0587427i | ||||
\(436\) | 2.16061 | + | 6.64969i | 0.103475 | + | 0.318462i | ||||
\(437\) | 0.102148 | − | 0.314381i | 0.00488642 | − | 0.0150389i | ||||
\(438\) | 5.61775 | − | 17.2896i | 0.268426 | − | 0.826131i | ||||
\(439\) | 7.83355 | + | 24.1092i | 0.373875 | + | 1.15067i | 0.944235 | + | 0.329273i | \(0.106804\pi\) |
−0.570360 | + | 0.821395i | \(0.693196\pi\) | |||||||
\(440\) | 9.83647 | − | 0.640121i | 0.468935 | − | 0.0305166i | ||||
\(441\) | 0.315138 | − | 0.969894i | 0.0150065 | − | 0.0461854i | ||||
\(442\) | 0.551527 | + | 0.400707i | 0.0262334 | + | 0.0190597i | ||||
\(443\) | −2.69391 | −0.127991 | −0.0639957 | − | 0.997950i | \(-0.520384\pi\) | ||||
−0.0639957 | + | 0.997950i | \(0.520384\pi\) | |||||||
\(444\) | 6.00019 | + | 4.35939i | 0.284756 | + | 0.206888i | ||||
\(445\) | 14.2375 | − | 11.8300i | 0.674924 | − | 0.560798i | ||||
\(446\) | 5.37391 | − | 3.90437i | 0.254462 | − | 0.184877i | ||||
\(447\) | −5.54732 | + | 4.03036i | −0.262379 | + | 0.190630i | ||||
\(448\) | −1.01462 | − | 3.12268i | −0.0479363 | − | 0.147533i | ||||
\(449\) | −33.7703 | −1.59372 | −0.796859 | − | 0.604165i | \(-0.793507\pi\) | ||||
−0.796859 | + | 0.604165i | \(0.793507\pi\) | |||||||
\(450\) | −6.12399 | + | 5.80063i | −0.288688 | + | 0.273444i | ||||
\(451\) | −5.81033 | −0.273598 | ||||||||
\(452\) | 3.87252 | + | 11.9184i | 0.182148 | + | 0.560595i | ||||
\(453\) | −2.19366 | + | 1.59379i | −0.103067 | + | 0.0748827i | ||||
\(454\) | −0.364517 | + | 0.264837i | −0.0171076 | + | 0.0124294i | ||||
\(455\) | −1.44709 | + | 0.0941716i | −0.0678409 | + | 0.00441483i | ||||
\(456\) | −21.0145 | − | 15.2679i | −0.984094 | − | 0.714986i | ||||
\(457\) | −17.1779 | −0.803549 | −0.401775 | − | 0.915739i | \(-0.631607\pi\) | ||||
−0.401775 | + | 0.915739i | \(0.631607\pi\) | |||||||
\(458\) | 33.7075 | + | 24.4900i | 1.57505 | + | 1.14434i | ||||
\(459\) | 0.779597 | − | 2.39935i | 0.0363885 | − | 0.111992i | ||||
\(460\) | −0.0216589 | + | 0.0851163i | −0.00100985 | + | 0.00396857i | ||||
\(461\) | −1.64270 | − | 5.05571i | −0.0765081 | − | 0.235468i | 0.905487 | − | 0.424374i | \(-0.139506\pi\) |
−0.981995 | + | 0.188906i | \(0.939506\pi\) | |||||||
\(462\) | 2.16171 | − | 6.65307i | 0.100572 | − | 0.309529i | ||||
\(463\) | −0.640813 | + | 1.97222i | −0.0297811 | + | 0.0916568i | −0.964842 | − | 0.262830i | \(-0.915344\pi\) |
0.935061 | + | 0.354486i | \(0.115344\pi\) | |||||||
\(464\) | −6.41190 | − | 19.7338i | −0.297665 | − | 0.916119i | ||||
\(465\) | 3.99951 | + | 10.0384i | 0.185473 | + | 0.465520i | ||||
\(466\) | −8.83547 | + | 27.1928i | −0.409295 | + | 1.25968i | ||||
\(467\) | 27.8676 | + | 20.2470i | 1.28956 | + | 0.936918i | 0.999796 | − | 0.0201812i | \(-0.00642431\pi\) |
0.289761 | + | 0.957099i | \(0.406424\pi\) | |||||||
\(468\) | −0.487134 | −0.0225178 | ||||||||
\(469\) | 4.78095 | + | 3.47356i | 0.220764 | + | 0.160394i | ||||
\(470\) | 11.5753 | − | 45.4892i | 0.533929 | − | 2.09826i | ||||
\(471\) | −9.57100 | + | 6.95374i | −0.441008 | + | 0.320411i | ||||
\(472\) | −23.0968 | + | 16.7808i | −1.06312 | + | 0.772398i | ||||
\(473\) | −2.09591 | − | 6.45054i | −0.0963699 | − | 0.296596i | ||||
\(474\) | −50.8950 | −2.33769 | ||||||||
\(475\) | 30.7319 | − | 4.01685i | 1.41008 | − | 0.184306i | ||||
\(476\) | −0.468035 | −0.0214523 | ||||||||
\(477\) | −3.76959 | − | 11.6016i | −0.172598 | − | 0.531202i | ||||
\(478\) | −10.1254 | + | 7.35654i | −0.463125 | + | 0.336480i | ||||
\(479\) | −19.7488 | + | 14.3484i | −0.902347 | + | 0.655594i | −0.939068 | − | 0.343732i | \(-0.888309\pi\) |
0.0367206 | + | 0.999326i | \(0.488309\pi\) | |||||||
\(480\) | 15.0720 | + | 9.51951i | 0.687938 | + | 0.434504i | ||||
\(481\) | 2.63507 | + | 1.91449i | 0.120149 | + | 0.0872931i | ||||
\(482\) | 12.1467 | 0.553265 | ||||||||
\(483\) | −0.0864991 | − | 0.0628453i | −0.00393584 | − | 0.00285956i | ||||
\(484\) | −1.49114 | + | 4.58925i | −0.0677789 | + | 0.208602i | ||||
\(485\) | −16.3506 | − | 10.3271i | −0.742443 | − | 0.468930i | ||||
\(486\) | 5.20536 | + | 16.0204i | 0.236120 | + | 0.726702i | ||||
\(487\) | 8.21422 | − | 25.2808i | 0.372222 | − | 1.14558i | −0.573112 | − | 0.819477i | \(-0.694264\pi\) |
0.945334 | − | 0.326104i | \(-0.105736\pi\) | |||||||
\(488\) | 2.64932 | − | 8.15377i | 0.119929 | − | 0.369104i | ||||
\(489\) | 14.3393 | + | 44.1318i | 0.648445 | + | 1.99571i | ||||
\(490\) | 2.84506 | − | 2.36397i | 0.128527 | − | 0.106793i | ||||
\(491\) | 3.41047 | − | 10.4963i | 0.153912 | − | 0.473693i | −0.844137 | − | 0.536128i | \(-0.819887\pi\) |
0.998049 | + | 0.0624347i | \(0.0198865\pi\) | |||||||
\(492\) | −3.29117 | − | 2.39118i | −0.148377 | − | 0.107802i | ||||
\(493\) | 2.67413 | 0.120437 | ||||||||
\(494\) | 5.38006 | + | 3.90884i | 0.242060 | + | 0.175867i | ||||
\(495\) | −1.78018 | − | 4.46809i | −0.0800130 | − | 0.200826i | ||||
\(496\) | 9.61451 | − | 6.98535i | 0.431704 | − | 0.313651i | ||||
\(497\) | −12.9665 | + | 9.42074i | −0.581629 | + | 0.422578i | ||||
\(498\) | 17.2429 | + | 53.0683i | 0.772675 | + | 2.37805i | ||||
\(499\) | 23.2305 | 1.03994 | 0.519970 | − | 0.854184i | \(-0.325943\pi\) | ||||
0.519970 | + | 0.854184i | \(0.325943\pi\) | |||||||
\(500\) | −8.07885 | + | 1.59527i | −0.361297 | + | 0.0713425i | ||||
\(501\) | 22.4779 | 1.00424 | ||||||||
\(502\) | −7.99884 | − | 24.6179i | −0.357006 | − | 1.09875i | ||||
\(503\) | 9.62616 | − | 6.99382i | 0.429209 | − | 0.311839i | −0.352123 | − | 0.935954i | \(-0.614540\pi\) |
0.781333 | + | 0.624115i | \(0.214540\pi\) | |||||||
\(504\) | −1.72439 | + | 1.25284i | −0.0768105 | + | 0.0558061i | ||||
\(505\) | 7.59692 | + | 19.0676i | 0.338058 | + | 0.848497i | ||||
\(506\) | −0.150530 | − | 0.109366i | −0.00669186 | − | 0.00486192i | ||||
\(507\) | 25.2210 | 1.12011 | ||||||||
\(508\) | −3.79281 | − | 2.75564i | −0.168279 | − | 0.122262i | ||||
\(509\) | 2.76377 | − | 8.50602i | 0.122502 | − | 0.377023i | −0.870936 | − | 0.491397i | \(-0.836486\pi\) |
0.993438 | + | 0.114374i | \(0.0364864\pi\) | |||||||
\(510\) | −3.62470 | + | 3.01178i | −0.160504 | + | 0.133364i | ||||
\(511\) | 1.69378 | + | 5.21293i | 0.0749286 | + | 0.230607i | ||||
\(512\) | −0.310569 | + | 0.955833i | −0.0137253 | + | 0.0422422i | ||||
\(513\) | 7.60485 | − | 23.4053i | 0.335762 | − | 1.03337i | ||||
\(514\) | −9.70802 | − | 29.8782i | −0.428203 | − | 1.31787i | ||||
\(515\) | 13.2107 | + | 8.34395i | 0.582135 | + | 0.367678i | ||||
\(516\) | 1.46745 | − | 4.51635i | 0.0646009 | − | 0.198821i | ||||
\(517\) | 21.6529 | + | 15.7317i | 0.952291 | + | 0.691880i | ||||
\(518\) | −8.30818 | −0.365040 | ||||||||
\(519\) | −20.8507 | − | 15.1489i | −0.915243 | − | 0.664963i | ||||
\(520\) | 2.56258 | + | 1.61854i | 0.112377 | + | 0.0709776i | ||||
\(521\) | −15.8194 | + | 11.4935i | −0.693061 | + | 0.503538i | −0.877665 | − | 0.479275i | \(-0.840900\pi\) |
0.184604 | + | 0.982813i | \(0.440900\pi\) | |||||||
\(522\) | −5.74358 | + | 4.17295i | −0.251389 | + | 0.182645i | ||||
\(523\) | 0.465276 | + | 1.43197i | 0.0203451 | + | 0.0626158i | 0.960714 | − | 0.277542i | \(-0.0895196\pi\) |
−0.940369 | + | 0.340157i | \(0.889520\pi\) | |||||||
\(524\) | 10.8722 | 0.474953 | ||||||||
\(525\) | 1.83603 | − | 9.85516i | 0.0801309 | − | 0.430114i | ||||
\(526\) | −40.0554 | −1.74650 | ||||||||
\(527\) | 0.473293 | + | 1.45665i | 0.0206170 | + | 0.0634525i | ||||
\(528\) | −16.8683 | + | 12.2555i | −0.734098 | + | 0.533353i | ||||
\(529\) | 18.6051 | − | 13.5174i | 0.808917 | − | 0.587713i | ||||
\(530\) | 10.9114 | − | 42.8802i | 0.473962 | − | 1.86260i | ||||
\(531\) | 11.2696 | + | 8.18785i | 0.489059 | + | 0.355322i | ||||
\(532\) | −4.56561 | −0.197944 | ||||||||
\(533\) | −1.44536 | − | 1.05012i | −0.0626056 | − | 0.0454856i | ||||
\(534\) | −8.48460 | + | 26.1129i | −0.367165 | + | 1.13002i | ||||
\(535\) | 5.95692 | + | 14.9513i | 0.257540 | + | 0.646403i | ||||
\(536\) | −3.81680 | − | 11.7469i | −0.164861 | − | 0.507389i | ||||
\(537\) | −10.8622 | + | 33.4305i | −0.468740 | + | 1.44263i | ||||
\(538\) | −7.98141 | + | 24.5643i | −0.344103 | + | 1.05904i | ||||
\(539\) | 0.651769 | + | 2.00594i | 0.0280737 | + | 0.0864019i | ||||
\(540\) | −1.61249 | + | 6.33683i | −0.0693904 | + | 0.272694i | ||||
\(541\) | −5.17970 | + | 15.9415i | −0.222693 | + | 0.685378i | 0.775825 | + | 0.630948i | \(0.217334\pi\) |
−0.998518 | + | 0.0544295i | \(0.982666\pi\) | |||||||
\(542\) | −13.7691 | − | 10.0038i | −0.591433 | − | 0.429701i | ||||
\(543\) | −0.588626 | −0.0252604 | ||||||||
\(544\) | 2.04416 | + | 1.48517i | 0.0876426 | + | 0.0636761i | ||||
\(545\) | −21.1817 | + | 1.37843i | −0.907326 | + | 0.0590454i | ||||
\(546\) | 1.74017 | − | 1.26431i | 0.0744723 | − | 0.0541073i | ||||
\(547\) | 28.3876 | − | 20.6248i | 1.21377 | − | 0.881853i | 0.218199 | − | 0.975904i | \(-0.429982\pi\) |
0.995567 | + | 0.0940519i | \(0.0299820\pi\) | |||||||
\(548\) | 0.401497 | + | 1.23568i | 0.0171511 | + | 0.0527856i | ||||
\(549\) | −4.18321 | −0.178535 | ||||||||
\(550\) | 3.19514 | − | 17.1504i | 0.136241 | − | 0.731295i | ||||
\(551\) | 26.0858 | 1.11129 | ||||||||
\(552\) | 0.0690553 | + | 0.212530i | 0.00293919 | + | 0.00904589i | ||||
\(553\) | 12.4145 | − | 9.01966i | 0.527918 | − | 0.383555i | ||||
\(554\) | 8.63012 | − | 6.27015i | 0.366658 | − | 0.266393i | ||||
\(555\) | −17.3180 | + | 14.3896i | −0.735107 | + | 0.610803i | ||||
\(556\) | 12.3580 | + | 8.97861i | 0.524096 | + | 0.380778i | ||||
\(557\) | 32.2965 | 1.36845 | 0.684223 | − | 0.729273i | \(-0.260141\pi\) | ||||
0.684223 | + | 0.729273i | \(0.260141\pi\) | |||||||
\(558\) | −3.28963 | − | 2.39006i | −0.139261 | − | 0.101179i | ||||
\(559\) | 0.644451 | − | 1.98342i | 0.0272574 | − | 0.0838896i | ||||
\(560\) | −11.0019 | + | 0.715961i | −0.464914 | + | 0.0302549i | ||||
\(561\) | −0.830375 | − | 2.55563i | −0.0350584 | − | 0.107899i | ||||
\(562\) | −4.72396 | + | 14.5389i | −0.199268 | + | 0.613285i | ||||
\(563\) | 0.249801 | − | 0.768809i | 0.0105279 | − | 0.0324015i | −0.945655 | − | 0.325173i | \(-0.894578\pi\) |
0.956182 | + | 0.292771i | \(0.0945775\pi\) | |||||||
\(564\) | 5.79071 | + | 17.8220i | 0.243833 | + | 0.750440i | ||||
\(565\) | −37.9646 | + | 2.47059i | −1.59718 | + | 0.103939i | ||||
\(566\) | −4.68644 | + | 14.4234i | −0.196986 | + | 0.606260i | ||||
\(567\) | −8.91489 | − | 6.47705i | −0.374390 | − | 0.272010i | ||||
\(568\) | 33.4986 | 1.40557 | ||||||||
\(569\) | −8.28738 | − | 6.02113i | −0.347425 | − | 0.252419i | 0.400363 | − | 0.916357i | \(-0.368884\pi\) |
−0.747788 | + | 0.663938i | \(0.768884\pi\) | |||||||
\(570\) | −35.3584 | + | 29.3794i | −1.48100 | + | 1.23057i | ||||
\(571\) | −24.6938 | + | 17.9411i | −1.03340 | + | 0.750810i | −0.968987 | − | 0.247113i | \(-0.920518\pi\) |
−0.0644149 | + | 0.997923i | \(0.520518\pi\) | |||||||
\(572\) | 0.815079 | − | 0.592189i | 0.0340801 | − | 0.0247607i | ||||
\(573\) | −2.51057 | − | 7.72674i | −0.104881 | − | 0.322789i | ||||
\(574\) | 4.55713 | 0.190211 | ||||||||
\(575\) | −0.234207 | − | 0.127446i | −0.00976711 | − | 0.00531488i | ||||
\(576\) | 3.34841 | 0.139517 | ||||||||
\(577\) | −10.4178 | − | 32.0627i | −0.433698 | − | 1.33479i | −0.894415 | − | 0.447239i | \(-0.852407\pi\) |
0.460716 | − | 0.887547i | \(-0.347593\pi\) | |||||||
\(578\) | 22.2110 | − | 16.1372i | 0.923856 | − | 0.671220i | ||||
\(579\) | 26.5199 | − | 19.2678i | 1.10213 | − | 0.800744i | ||||
\(580\) | −6.91629 | + | 0.450087i | −0.287183 | + | 0.0186888i | ||||
\(581\) | −13.6108 | − | 9.88880i | −0.564670 | − | 0.410257i | ||||
\(582\) | 28.6847 | 1.18902 | ||||||||
\(583\) | 20.4110 | + | 14.8294i | 0.845336 | + | 0.614173i | ||||
\(584\) | 3.54013 | − | 10.8954i | 0.146491 | − | 0.450854i | ||||
\(585\) | 0.364697 | − | 1.43321i | 0.0150784 | − | 0.0592557i | ||||
\(586\) | −4.01311 | − | 12.3511i | −0.165780 | − | 0.510219i | ||||
\(587\) | −5.37008 | + | 16.5274i | −0.221647 | + | 0.682159i | 0.776968 | + | 0.629541i | \(0.216757\pi\) |
−0.998615 | + | 0.0526189i | \(0.983243\pi\) | |||||||
\(588\) | −0.456337 | + | 1.40446i | −0.0188190 | + | 0.0579190i | ||||
\(589\) | 4.61690 | + | 14.2094i | 0.190236 | + | 0.585487i | ||||
\(590\) | 18.7012 | + | 46.9383i | 0.769915 | + | 1.93242i | ||||
\(591\) | 4.95610 | − | 15.2533i | 0.203867 | − | 0.627437i | ||||
\(592\) | 20.0337 | + | 14.5553i | 0.823380 | + | 0.598220i | ||||
\(593\) | −34.2483 | −1.40641 | −0.703204 | − | 0.710988i | \(-0.748248\pi\) | ||||
−0.703204 | + | 0.710988i | \(0.748248\pi\) | |||||||
\(594\) | −11.2068 | − | 8.14220i | −0.459820 | − | 0.334079i | ||||
\(595\) | 0.350399 | − | 1.37701i | 0.0143650 | − | 0.0564521i | ||||
\(596\) | 2.03789 | − | 1.48062i | 0.0834753 | − | 0.0606484i | ||||
\(597\) | −1.08055 | + | 0.785066i | −0.0442240 | + | 0.0321306i | ||||
\(598\) | −0.0176793 | − | 0.0544113i | −0.000722960 | − | 0.00222504i | ||||
\(599\) | −0.477719 | −0.0195191 | −0.00975953 | − | 0.999952i | \(-0.503107\pi\) | ||||
−0.00975953 | + | 0.999952i | \(0.503107\pi\) | |||||||
\(600\) | −15.2117 | + | 14.4085i | −0.621016 | + | 0.588225i | ||||
\(601\) | 7.49548 | 0.305747 | 0.152874 | − | 0.988246i | \(-0.451147\pi\) | ||||
0.152874 | + | 0.988246i | \(0.451147\pi\) | |||||||
\(602\) | 1.64385 | + | 5.05925i | 0.0669983 | + | 0.206199i | ||||
\(603\) | −4.87564 | + | 3.54236i | −0.198552 | + | 0.144256i | ||||
\(604\) | 0.805875 | − | 0.585502i | 0.0327906 | − | 0.0238237i | ||||
\(605\) | −12.3858 | − | 7.82289i | −0.503553 | − | 0.318046i | ||||
\(606\) | −24.6301 | − | 17.8948i | −1.00053 | − | 0.726926i | ||||
\(607\) | 1.17392 | 0.0476478 | 0.0238239 | − | 0.999716i | \(-0.492416\pi\) | ||||
0.0238239 | + | 0.999716i | \(0.492416\pi\) | |||||||
\(608\) | 19.9405 | + | 14.4876i | 0.808693 | + | 0.587550i | ||||
\(609\) | 2.60730 | − | 8.02443i | 0.105653 | − | 0.325166i | ||||
\(610\) | −12.8287 | − | 8.10262i | −0.519417 | − | 0.328066i | ||||
\(611\) | 2.54307 | + | 7.82676i | 0.102882 | + | 0.316637i | ||||
\(612\) | 0.147495 | − | 0.453944i | 0.00596215 | − | 0.0183496i | ||||
\(613\) | 7.16477 | − | 22.0509i | 0.289382 | − | 0.890628i | −0.695668 | − | 0.718363i | \(-0.744892\pi\) |
0.985051 | − | 0.172264i | \(-0.0551084\pi\) | |||||||
\(614\) | 7.08759 | + | 21.8133i | 0.286032 | + | 0.880315i | ||||
\(615\) | 9.49909 | − | 7.89284i | 0.383040 | − | 0.318270i | ||||
\(616\) | 1.36224 | − | 4.19255i | 0.0548863 | − | 0.168923i | ||||
\(617\) | 27.3982 | + | 19.9059i | 1.10301 | + | 0.801383i | 0.981549 | − | 0.191213i | \(-0.0612422\pi\) |
0.121461 | + | 0.992596i | \(0.461242\pi\) | |||||||
\(618\) | −23.1763 | −0.932286 | ||||||||
\(619\) | 7.58568 | + | 5.51132i | 0.304894 | + | 0.221519i | 0.729703 | − | 0.683765i | \(-0.239658\pi\) |
−0.424808 | + | 0.905283i | \(0.639658\pi\) | |||||||
\(620\) | −1.46928 | − | 3.68776i | −0.0590077 | − | 0.148104i | ||||
\(621\) | −0.171285 | + | 0.124446i | −0.00687343 | + | 0.00499384i | ||||
\(622\) | −11.0256 | + | 8.01054i | −0.442085 | + | 0.321194i | ||||
\(623\) | −2.55816 | − | 7.87320i | −0.102490 | − | 0.315433i | ||||
\(624\) | −6.41108 | −0.256649 | ||||||||
\(625\) | 1.35485 | − | 24.9633i | 0.0541939 | − | 0.998530i | ||||
\(626\) | −44.3528 | −1.77269 | ||||||||
\(627\) | −8.10018 | − | 24.9298i | −0.323490 | − | 0.995600i | ||||
\(628\) | 3.51605 | − | 2.55456i | 0.140306 | − | 0.101938i | ||||
\(629\) | −2.58190 | + | 1.87586i | −0.102947 | + | 0.0747955i | ||||
\(630\) | 1.39622 | + | 3.50438i | 0.0556266 | + | 0.139618i | ||||
\(631\) | −0.746884 | − | 0.542643i | −0.0297330 | − | 0.0216023i | 0.572820 | − | 0.819682i | \(-0.305850\pi\) |
−0.602552 | + | 0.798079i | \(0.705850\pi\) | |||||||
\(632\) | −32.0724 | −1.27577 | ||||||||
\(633\) | 27.3560 | + | 19.8753i | 1.08730 | + | 0.789972i | ||||
\(634\) | 10.7953 | − | 33.2246i | 0.428738 | − | 1.31952i | ||||
\(635\) | 10.9469 | − | 9.09586i | 0.434416 | − | 0.360958i | ||||
\(636\) | 5.45859 | + | 16.7998i | 0.216447 | + | 0.666155i | ||||
\(637\) | −0.200407 | + | 0.616788i | −0.00794040 | + | 0.0244380i | ||||
\(638\) | 4.53733 | − | 13.9645i | 0.179635 | − | 0.552859i | ||||
\(639\) | −5.05087 | − | 15.5450i | −0.199809 | − | 0.614950i | ||||
\(640\) | 25.3034 | + | 15.9817i | 1.00020 | + | 0.631733i | ||||
\(641\) | −1.24245 | + | 3.82387i | −0.0490739 | + | 0.151034i | −0.972591 | − | 0.232524i | \(-0.925301\pi\) |
0.923517 | + | 0.383558i | \(0.125301\pi\) | |||||||
\(642\) | −19.3130 | − | 14.0317i | −0.762223 | − | 0.553787i | ||||
\(643\) | 19.8202 | 0.781633 | 0.390816 | − | 0.920469i | \(-0.372193\pi\) | ||||
0.390816 | + | 0.920469i | \(0.372193\pi\) | |||||||
\(644\) | 0.0317768 | + | 0.0230872i | 0.00125218 | + | 0.000909762i | ||||
\(645\) | 12.1890 | + | 7.69863i | 0.479942 | + | 0.303133i | ||||
\(646\) | −5.27151 | + | 3.82997i | −0.207405 | + | 0.150688i | ||||
\(647\) | 7.72033 | − | 5.60915i | 0.303517 | − | 0.220518i | −0.425593 | − | 0.904915i | \(-0.639934\pi\) |
0.729110 | + | 0.684397i | \(0.239934\pi\) | |||||||
\(648\) | 7.11707 | + | 21.9041i | 0.279585 | + | 0.860474i | ||||
\(649\) | −28.8101 | −1.13090 | ||||||||
\(650\) | 3.89445 | − | 3.68882i | 0.152753 | − | 0.144687i | ||||
\(651\) | 4.83251 | 0.189401 | ||||||||
\(652\) | −5.26776 | − | 16.2125i | −0.206301 | − | 0.634930i | ||||
\(653\) | 19.0422 | − | 13.8350i | 0.745179 | − | 0.541404i | −0.149150 | − | 0.988815i | \(-0.547654\pi\) |
0.894329 | + | 0.447411i | \(0.147654\pi\) | |||||||
\(654\) | 25.4716 | − | 18.5062i | 0.996017 | − | 0.723649i | ||||
\(655\) | −8.13956 | + | 31.9872i | −0.318039 | + | 1.24984i | ||||
\(656\) | −10.9887 | − | 7.98376i | −0.429037 | − | 0.311713i | ||||
\(657\) | −5.58977 | −0.218078 | ||||||||
\(658\) | −16.9826 | − | 12.3386i | −0.662052 | − | 0.481009i | ||||
\(659\) | 13.9476 | − | 42.9264i | 0.543322 | − | 1.67217i | −0.181624 | − | 0.983368i | \(-0.558135\pi\) |
0.724946 | − | 0.688806i | \(-0.241865\pi\) | |||||||
\(660\) | 2.57780 | + | 6.47004i | 0.100341 | + | 0.251846i | ||||
\(661\) | −3.52118 | − | 10.8371i | −0.136958 | − | 0.421513i | 0.858931 | − | 0.512091i | \(-0.171129\pi\) |
−0.995889 | + | 0.0905773i | \(0.971129\pi\) | |||||||
\(662\) | −2.45731 | + | 7.56281i | −0.0955059 | + | 0.293937i | ||||
\(663\) | 0.255324 | − | 0.785808i | 0.00991598 | − | 0.0305182i | ||||
\(664\) | 10.8660 | + | 33.4420i | 0.421681 | + | 1.29780i | ||||
\(665\) | 3.41809 | − | 13.4326i | 0.132548 | − | 0.520893i | ||||
\(666\) | 2.61822 | − | 8.05805i | 0.101454 | − | 0.312243i | ||||
\(667\) | −0.181558 | − | 0.131909i | −0.00702994 | − | 0.00510755i | ||||
\(668\) | −8.25759 | −0.319496 | ||||||||
\(669\) | −6.51315 | − | 4.73208i | −0.251813 | − | 0.182953i | ||||
\(670\) | −21.8135 | + | 1.41954i | −0.842729 | + | 0.0548417i | ||||
\(671\) | 6.99940 | − | 5.08536i | 0.270209 | − | 0.196318i | ||||
\(672\) | 6.44970 | − | 4.68598i | 0.248803 | − | 0.180766i | ||||
\(673\) | 5.55992 | + | 17.1117i | 0.214319 | + | 0.659607i | 0.999201 | + | 0.0399616i | \(0.0127235\pi\) |
−0.784882 | + | 0.619645i | \(0.787276\pi\) | |||||||
\(674\) | −7.72037 | −0.297378 | ||||||||
\(675\) | −17.4365 | − | 9.48826i | −0.671131 | − | 0.365203i | ||||
\(676\) | −9.26533 | −0.356359 | ||||||||
\(677\) | 2.74745 | + | 8.45579i | 0.105593 | + | 0.324982i | 0.989869 | − | 0.141982i | \(-0.0453476\pi\) |
−0.884276 | + | 0.466965i | \(0.845348\pi\) | |||||||
\(678\) | 45.6534 | − | 33.1691i | 1.75331 | − | 1.27385i | ||||
\(679\) | −6.99686 | + | 5.08352i | −0.268515 | + | 0.195088i | ||||
\(680\) | −2.28417 | + | 1.89793i | −0.0875938 | + | 0.0727821i | ||||
\(681\) | 0.441793 | + | 0.320981i | 0.0169295 | + | 0.0123000i | ||||
\(682\) | 8.40975 | 0.322026 | ||||||||
\(683\) | −3.58503 | − | 2.60468i | −0.137177 | − | 0.0996652i | 0.517080 | − | 0.855937i | \(-0.327019\pi\) |
−0.654258 | + | 0.756272i | \(0.727019\pi\) | |||||||
\(684\) | 1.43879 | − | 4.42816i | 0.0550137 | − | 0.169315i | ||||
\(685\) | −3.93610 | + | 0.256147i | −0.150391 | + | 0.00978688i | ||||
\(686\) | −0.511192 | − | 1.57329i | −0.0195174 | − | 0.0600684i | ||||
\(687\) | 15.6046 | − | 48.0261i | 0.595353 | − | 1.83231i | ||||
\(688\) | 4.89959 | − | 15.0794i | 0.186795 | − | 0.574896i | ||||
\(689\) | 2.39721 | + | 7.37786i | 0.0913265 | + | 0.281074i | ||||
\(690\) | 0.394660 | − | 0.0256830i | 0.0150244 | − | 0.000977735i | ||||
\(691\) | −1.01286 | + | 3.11725i | −0.0385308 | + | 0.118586i | −0.968472 | − | 0.249123i | \(-0.919858\pi\) |
0.929941 | + | 0.367709i | \(0.119858\pi\) | |||||||
\(692\) | 7.65981 | + | 5.56518i | 0.291182 | + | 0.211556i | ||||
\(693\) | −2.15094 | −0.0817076 | ||||||||
\(694\) | −24.9157 | − | 18.1023i | −0.945789 | − | 0.687156i | ||||
\(695\) | −35.6681 | + | 29.6368i | −1.35297 | + | 1.12419i | ||||
\(696\) | −14.2668 | + | 10.3654i | −0.540781 | + | 0.392901i | ||||
\(697\) | 1.41620 | − | 1.02893i | 0.0536424 | − | 0.0389735i | ||||
\(698\) | −8.49984 | − | 26.1598i | −0.321724 | − | 0.990164i | ||||
\(699\) | 34.6536 | 1.31072 | ||||||||
\(700\) | −0.674494 | + | 3.62044i | −0.0254935 | + | 0.136840i | ||||
\(701\) | −32.3186 | −1.22066 | −0.610328 | − | 0.792149i | \(-0.708962\pi\) | ||||
−0.610328 | + | 0.792149i | \(0.708962\pi\) | |||||||
\(702\) | −1.31621 | − | 4.05086i | −0.0496770 | − | 0.152890i | ||||
\(703\) | −25.1860 | + | 18.2987i | −0.949910 | + | 0.690150i | ||||
\(704\) | −5.60261 | + | 4.07054i | −0.211156 | + | 0.153414i | ||||
\(705\) | −56.7696 | + | 3.69436i | −2.13807 | + | 0.139138i | ||||
\(706\) | −25.2977 | − | 18.3799i | −0.952092 | − | 0.691736i | ||||
\(707\) | 9.17918 | 0.345218 | ||||||||
\(708\) | −16.3190 | − | 11.8565i | −0.613306 | − | 0.445593i | ||||
\(709\) | −6.77723 | + | 20.8582i | −0.254524 | + | 0.783345i | 0.739399 | + | 0.673268i | \(0.235110\pi\) |
−0.993923 | + | 0.110077i | \(0.964890\pi\) | |||||||
\(710\) | 14.6202 | − | 57.4551i | 0.548686 | − | 2.15625i | ||||
\(711\) | 4.83583 | + | 14.8832i | 0.181358 | + | 0.558162i | ||||
\(712\) | −5.34673 | + | 16.4555i | −0.200377 | + | 0.616697i | ||||
\(713\) | 0.0397195 | − | 0.122244i | 0.00148751 | − | 0.00457808i | ||||
\(714\) | 0.651274 | + | 2.00442i | 0.0243733 | + | 0.0750134i | ||||
\(715\) | 1.13207 | + | 2.84141i | 0.0423372 | + | 0.106263i | ||||
\(716\) | 3.99041 | − | 12.2812i | 0.149128 | − | 0.458970i | ||||
\(717\) | 12.2719 | + | 8.91609i | 0.458304 | + | 0.332978i | ||||
\(718\) | 7.78309 | 0.290462 | ||||||||
\(719\) | 5.53541 | + | 4.02171i | 0.206436 | + | 0.149984i | 0.686200 | − | 0.727413i | \(-0.259278\pi\) |
−0.479764 | + | 0.877398i | \(0.659278\pi\) | |||||||
\(720\) | 2.77270 | − | 10.8963i | 0.103332 | − | 0.406080i | ||||
\(721\) | 5.65323 | − | 4.10731i | 0.210537 | − | 0.152964i | ||||
\(722\) | −25.9947 | + | 18.8863i | −0.967424 | + | 0.702875i | ||||
\(723\) | −4.54926 | − | 14.0012i | −0.169189 | − | 0.520709i | ||||
\(724\) | 0.216241 | 0.00803652 | ||||||||
\(725\) | 3.85374 | − | 20.6855i | 0.143124 | − | 0.768241i | ||||
\(726\) | 21.7289 | 0.806436 | ||||||||
\(727\) | 7.23035 | + | 22.2527i | 0.268159 | + | 0.825308i | 0.990949 | + | 0.134240i | \(0.0428594\pi\) |
−0.722790 | + | 0.691068i | \(0.757141\pi\) | |||||||
\(728\) | 1.09660 | − | 0.796726i | 0.0406427 | − | 0.0295286i | ||||
\(729\) | −10.2278 | + | 7.43097i | −0.378809 | + | 0.275221i | ||||
\(730\) | −17.1422 | − | 10.8270i | −0.634460 | − | 0.400727i | ||||
\(731\) | 1.65315 | + | 1.20109i | 0.0611441 | + | 0.0444238i | ||||
\(732\) | 6.05752 | 0.223892 | ||||||||
\(733\) | 29.7955 | + | 21.6477i | 1.10052 | + | 0.799575i | 0.981145 | − | 0.193275i | \(-0.0619108\pi\) |
0.119375 | + | 0.992849i | \(0.461911\pi\) | |||||||
\(734\) | 16.7884 | − | 51.6693i | 0.619670 | − | 1.90715i | ||||
\(735\) | −3.79045 | − | 2.39406i | −0.139813 | − | 0.0883063i | ||||
\(736\) | −0.0655259 | − | 0.201668i | −0.00241532 | − | 0.00743358i | ||||
\(737\) | 3.85168 | − | 11.8543i | 0.141879 | − | 0.436657i | ||||
\(738\) | −1.43612 | + | 4.41993i | −0.0528644 | + | 0.162700i | ||||
\(739\) | −8.94879 | − | 27.5415i | −0.329186 | − | 1.01313i | −0.969515 | − | 0.245031i | \(-0.921202\pi\) |
0.640329 | − | 0.768101i | \(-0.278798\pi\) | |||||||
\(740\) | 6.36202 | − | 5.28623i | 0.233872 | − | 0.194326i | ||||
\(741\) | 2.49065 | − | 7.66543i | 0.0914963 | − | 0.281597i | ||||
\(742\) | −16.0086 | − | 11.6309i | −0.587695 | − | 0.426985i | ||||
\(743\) | −33.9235 | −1.24453 | −0.622266 | − | 0.782806i | \(-0.713788\pi\) | ||||
−0.622266 | + | 0.782806i | \(0.713788\pi\) | |||||||
\(744\) | −8.17130 | − | 5.93680i | −0.299574 | − | 0.217653i | ||||
\(745\) | 2.83046 | + | 7.10420i | 0.103700 | + | 0.260278i | ||||
\(746\) | 20.5239 | − | 14.9115i | 0.751435 | − | 0.545949i | ||||
\(747\) | 13.8804 | − | 10.0847i | 0.507855 | − | 0.368979i | ||||
\(748\) | 0.305051 | + | 0.938850i | 0.0111538 | + | 0.0343277i | ||||
\(749\) | 7.19760 | 0.262995 | ||||||||
\(750\) | 18.0737 | + | 32.3788i | 0.659959 | + | 1.18231i | ||||
\(751\) | −37.0674 | −1.35261 | −0.676304 | − | 0.736623i | \(-0.736419\pi\) | ||||
−0.676304 | + | 0.736623i | \(0.736419\pi\) | |||||||
\(752\) | 19.3343 | + | 59.5047i | 0.705048 | + | 2.16991i | ||||
\(753\) | −25.3807 | + | 18.4402i | −0.924924 | + | 0.671997i | ||||
\(754\) | 3.65253 | − | 2.65372i | 0.133017 | − | 0.0966428i | ||||
\(755\) | 1.11929 | + | 2.80932i | 0.0407352 | + | 0.102242i | ||||
\(756\) | 2.36575 | + | 1.71882i | 0.0860414 | + | 0.0625128i | ||||
\(757\) | −22.1897 | −0.806500 | −0.403250 | − | 0.915090i | \(-0.632120\pi\) | ||||
−0.403250 | + | 0.915090i | \(0.632120\pi\) | |||||||
\(758\) | −2.21472 | − | 1.60909i | −0.0804421 | − | 0.0584446i | ||||
\(759\) | −0.0696864 | + | 0.214473i | −0.00252945 | + | 0.00778486i | ||||
\(760\) | −22.2817 | + | 18.5140i | −0.808243 | + | 0.671573i | ||||
\(761\) | 7.73265 | + | 23.7986i | 0.280308 | + | 0.862700i | 0.987766 | + | 0.155944i | \(0.0498421\pi\) |
−0.707458 | + | 0.706756i | \(0.750158\pi\) | |||||||
\(762\) | −6.52362 | + | 20.0777i | −0.236326 | + | 0.727337i | ||||
\(763\) | −2.93344 | + | 9.02819i | −0.106197 | + | 0.326842i | ||||
\(764\) | 0.922297 | + | 2.83854i | 0.0333675 | + | 0.102695i | ||||
\(765\) | 1.22513 | + | 0.773799i | 0.0442948 | + | 0.0279768i | ||||
\(766\) | −1.64304 | + | 5.05675i | −0.0593654 | + | 0.182708i | ||||
\(767\) | −7.16672 | − | 5.20693i | −0.258775 | − | 0.188011i | ||||
\(768\) | −31.2250 | −1.12673 | ||||||||
\(769\) | 35.1475 | + | 25.5362i | 1.26745 | + | 0.920858i | 0.999098 | − | 0.0424627i | \(-0.0135204\pi\) |
0.268354 | + | 0.963320i | \(0.413520\pi\) | |||||||
\(770\) | −6.59631 | − | 4.16625i | −0.237715 | − | 0.150141i | ||||
\(771\) | −30.8040 | + | 22.3804i | −1.10938 | + | 0.806011i | ||||
\(772\) | −9.74249 | + | 7.07833i | −0.350640 | + | 0.254755i | ||||
\(773\) | −9.61166 | − | 29.5816i | −0.345707 | − | 1.06398i | −0.961204 | − | 0.275838i | \(-0.911045\pi\) |
0.615497 | − | 0.788139i | \(-0.288955\pi\) | |||||||
\(774\) | −5.42497 | −0.194996 | ||||||||
\(775\) | 11.9498 | − | 1.56192i | 0.429251 | − | 0.0561057i | ||||
\(776\) | 18.0762 | 0.648896 | ||||||||
\(777\) | 3.11164 | + | 9.57664i | 0.111629 | + | 0.343560i | ||||
\(778\) | −10.5615 | + | 7.67339i | −0.378649 | + | 0.275104i | ||||
\(779\) | 13.8148 | − | 10.0371i | 0.494967 | − | 0.359615i | ||||
\(780\) | −0.528102 | + | 2.07536i | −0.0189091 | + | 0.0743099i | ||||
\(781\) | 27.3486 | + | 19.8699i | 0.978611 | + | 0.711002i | ||||
\(782\) | 0.0560571 | 0.00200460 | ||||||||
\(783\) | −13.5168 | − | 9.82052i | −0.483050 | − | 0.350957i | ||||
\(784\) | −1.52364 | + | 4.68927i | −0.0544156 | + | 0.167474i | ||||
\(785\) | 4.88350 | + | 12.2571i | 0.174300 | + | 0.437476i | ||||
\(786\) | −15.1287 | − | 46.5614i | −0.539623 | − | 1.66079i | ||||
\(787\) | 3.07717 | − | 9.47056i | 0.109689 | − | 0.337589i | −0.881113 | − | 0.472906i | \(-0.843205\pi\) |
0.990802 | + | 0.135317i | \(0.0432052\pi\) | |||||||
\(788\) | −1.82070 | + | 5.60353i | −0.0648597 | + | 0.199618i | ||||
\(789\) | 15.0018 | + | 46.1709i | 0.534079 | + | 1.64373i | ||||
\(790\) | −13.9977 | + | 55.0090i | −0.498017 | + | 1.95713i | ||||
\(791\) | −5.25767 | + | 16.1815i | −0.186941 | + | 0.575346i | ||||
\(792\) | 3.63703 | + | 2.64246i | 0.129236 | + | 0.0938957i | ||||
\(793\) | 2.66024 | 0.0944679 | ||||||||
\(794\) | −19.5056 | − | 14.1717i | −0.692229 | − | 0.502934i | ||||
\(795\) | −53.5136 | + | 3.48247i | −1.89793 | + | 0.123511i | ||||
\(796\) | 0.396957 | − | 0.288406i | 0.0140698 | − | 0.0102223i | ||||
\(797\) | 3.63504 | − | 2.64101i | 0.128760 | − | 0.0935493i | −0.521541 | − | 0.853226i | \(-0.674643\pi\) |
0.650301 | + | 0.759677i | \(0.274643\pi\) | |||||||
\(798\) | 6.35308 | + | 19.5528i | 0.224897 | + | 0.692161i | ||||
\(799\) | −8.06350 | −0.285266 | ||||||||
\(800\) | 14.4343 | − | 13.6721i | 0.510328 | − | 0.483382i | ||||
\(801\) | 8.44234 | 0.298295 | ||||||||
\(802\) | 19.0560 | + | 58.6482i | 0.672889 | + | 2.07094i | ||||
\(803\) | 9.35287 | − | 6.79526i | 0.330056 | − | 0.239799i | ||||
\(804\) | 7.06021 | − | 5.12954i | 0.248994 | − | 0.180905i | ||||
\(805\) | −0.0917152 | + | 0.0762066i | −0.00323254 | + | 0.00268593i | ||||
\(806\) | 2.09199 | + | 1.51992i | 0.0736871 | + | 0.0535368i | ||||
\(807\) | 31.3039 | 1.10195 | ||||||||
\(808\) | −15.5211 | − | 11.2767i | −0.546029 | − | 0.396714i | ||||
\(809\) | −9.24695 | + | 28.4592i | −0.325105 | + | 1.00057i | 0.646288 | + | 0.763094i | \(0.276321\pi\) |
−0.971393 | + | 0.237478i | \(0.923679\pi\) | |||||||
\(810\) | 40.6750 | − | 2.64698i | 1.42917 | − | 0.0930053i | ||||
\(811\) | −13.2892 | − | 40.9000i | −0.466648 | − | 1.43619i | −0.856898 | − | 0.515486i | \(-0.827612\pi\) |
0.390250 | − | 0.920709i | \(-0.372388\pi\) | |||||||
\(812\) | −0.957830 | + | 2.94790i | −0.0336132 | + | 0.103451i | ||||
\(813\) | −6.37427 | + | 19.6180i | −0.223556 | + | 0.688033i | ||||
\(814\) | 5.41501 | + | 16.6657i | 0.189796 | + | 0.584132i | ||||
\(815\) | 51.6428 | − | 3.36073i | 1.80897 | − | 0.117721i | ||||
\(816\) | 1.94116 | − | 5.97428i | 0.0679542 | − | 0.209142i | ||||
\(817\) | 16.1263 | + | 11.7164i | 0.564187 | + | 0.409906i | ||||
\(818\) | −26.1940 | −0.915853 | ||||||||
\(819\) | −0.535063 | − | 0.388746i | −0.0186966 | − | 0.0135839i | ||||
\(820\) | −3.48964 | + | 2.89955i | −0.121863 | + | 0.101257i | ||||
\(821\) | 36.0220 | − | 26.1715i | 1.25717 | − | 0.913391i | 0.258559 | − | 0.965995i | \(-0.416752\pi\) |
0.998615 | + | 0.0526045i | \(0.0167523\pi\) | |||||||
\(822\) | 4.73326 | − | 3.43892i | 0.165092 | − | 0.119946i | ||||
\(823\) | 16.3247 | + | 50.2424i | 0.569045 | + | 1.75134i | 0.655616 | + | 0.755095i | \(0.272409\pi\) |
−0.0865707 | + | 0.996246i | \(0.527591\pi\) | |||||||
\(824\) | −14.6049 | −0.508787 | ||||||||
\(825\) | −20.9655 | + | 2.74032i | −0.729926 | + | 0.0954058i | ||||
\(826\) | 22.5962 | 0.786221 | ||||||||
\(827\) | −6.69380 | − | 20.6014i | −0.232766 | − | 0.716381i | −0.997410 | − | 0.0719274i | \(-0.977085\pi\) |
0.764644 | − | 0.644453i | \(-0.222915\pi\) | |||||||
\(828\) | −0.0324061 | + | 0.0235444i | −0.00112619 | + | 0.000818226i | ||||
\(829\) | 0.724280 | − | 0.526220i | 0.0251553 | − | 0.0182764i | −0.575137 | − | 0.818057i | \(-0.695051\pi\) |
0.600292 | + | 0.799781i | \(0.295051\pi\) | |||||||
\(830\) | 62.1003 | − | 4.04126i | 2.15553 | − | 0.140274i | ||||
\(831\) | −10.4597 | − | 7.59939i | −0.362842 | − | 0.263620i | ||||
\(832\) | −2.12937 | −0.0738226 | ||||||||
\(833\) | −0.514085 | − | 0.373505i | −0.0178120 | − | 0.0129412i | ||||
\(834\) | 21.2557 | − | 65.4185i | 0.736026 | − | 2.26526i | ||||
\(835\) | 6.18213 | − | 24.2948i | 0.213941 | − | 0.840757i | ||||
\(836\) | 2.97572 | + | 9.15834i | 0.102918 | + | 0.316748i | ||||
\(837\) | 2.95708 | − | 9.10095i | 0.102212 | − | 0.314575i | ||||
\(838\) | 7.57162 | − | 23.3030i | 0.261557 | − | 0.804990i | ||||
\(839\) | 4.68190 | + | 14.4094i | 0.161637 | + | 0.497468i | 0.998773 | − | 0.0495273i | \(-0.0157715\pi\) |
−0.837136 | + | 0.546995i | \(0.815771\pi\) | |||||||
\(840\) | 3.46814 | + | 8.70473i | 0.119662 | + | 0.300342i | ||||
\(841\) | −3.48890 | + | 10.7377i | −0.120307 | + | 0.370266i | ||||
\(842\) | −8.05734 | − | 5.85400i | −0.277674 | − | 0.201742i | ||||
\(843\) | 18.5279 | 0.638133 | ||||||||
\(844\) | −10.0496 | − | 7.30149i | −0.345923 | − | 0.251328i | ||||
\(845\) | 6.93658 | − | 27.2597i | 0.238626 | − | 0.937762i | ||||
\(846\) | 17.3190 | − | 12.5830i | 0.595440 | − | 0.432612i | ||||
\(847\) | −5.30020 | + | 3.85082i | −0.182117 | + | 0.132316i | ||||
\(848\) | 18.2254 | + | 56.0919i | 0.625861 | + | 1.92620i | ||||
\(849\) | 18.3807 | 0.630824 | ||||||||
\(850\) | 2.25832 | + | 4.74602i | 0.0774597 | + | 0.162787i | ||||
\(851\) | 0.267828 | 0.00918102 | ||||||||
\(852\) | 7.31395 | + | 22.5100i | 0.250572 | + | 0.771181i | ||||
\(853\) | −26.8956 | + | 19.5408i | −0.920889 | + | 0.669065i | −0.943745 | − | 0.330674i | \(-0.892724\pi\) |
0.0228559 | + | 0.999739i | \(0.492724\pi\) | |||||||
\(854\) | −5.48972 | + | 3.98852i | −0.187854 | + | 0.136484i | ||||
\(855\) | 11.9510 | + | 7.54829i | 0.408715 | + | 0.258146i | ||||
\(856\) | −12.1704 | − | 8.84233i | −0.415977 | − | 0.302225i | ||||
\(857\) | 46.2129 | 1.57860 | 0.789302 | − | 0.614005i | \(-0.210443\pi\) | ||||
0.789302 | + | 0.614005i | \(0.210443\pi\) | |||||||
\(858\) | −3.67031 | − | 2.66664i | −0.125302 | − | 0.0910375i | ||||
\(859\) | 8.32136 | − | 25.6105i | 0.283921 | − | 0.873819i | −0.702799 | − | 0.711389i | \(-0.748067\pi\) |
0.986720 | − | 0.162431i | \(-0.0519334\pi\) | |||||||
\(860\) | −4.47782 | − | 2.82821i | −0.152692 | − | 0.0964411i | ||||
\(861\) | −1.70677 | − | 5.25289i | −0.0581665 | − | 0.179018i | ||||
\(862\) | −4.94058 | + | 15.2056i | −0.168277 | + | 0.517903i | ||||
\(863\) | −4.45516 | + | 13.7116i | −0.151655 | + | 0.466747i | −0.997807 | − | 0.0661955i | \(-0.978914\pi\) |
0.846151 | + | 0.532943i | \(0.178914\pi\) | |||||||
\(864\) | −4.87834 | − | 15.0140i | −0.165964 | − | 0.510786i | ||||
\(865\) | −22.1080 | + | 18.3697i | −0.751695 | + | 0.624587i | ||||
\(866\) | 5.74634 | − | 17.6854i | 0.195269 | − | 0.600975i | ||||
\(867\) | −26.9196 | − | 19.5583i | −0.914239 | − | 0.664233i | ||||
\(868\) | −1.77530 | −0.0602575 | ||||||||
\(869\) | −26.1843 | − | 19.0240i | −0.888240 | − | 0.645344i | ||||
\(870\) | 11.5516 | + | 28.9936i | 0.391637 | + | 0.982974i | ||||
\(871\) | 3.10059 | − | 2.25271i | 0.105059 | − | 0.0763301i | ||||
\(872\) | 16.0514 | − | 11.6620i | 0.543568 | − | 0.394925i | ||||
\(873\) | −2.72550 | − | 8.38822i | −0.0922441 | − | 0.283898i | ||||
\(874\) | 0.546828 | 0.0184967 | ||||||||
\(875\) | −10.1468 | − | 4.69492i | −0.343025 | − | 0.158717i | ||||
\(876\) | 8.09429 | 0.273481 | ||||||||
\(877\) | 16.2701 | + | 50.0743i | 0.549404 | + | 1.69089i | 0.710283 | + | 0.703916i | \(0.248567\pi\) |
−0.160880 | + | 0.986974i | \(0.551433\pi\) | |||||||
\(878\) | −33.9262 | + | 24.6488i | −1.14495 | + | 0.831858i | ||||
\(879\) | −12.7338 | + | 9.25164i | −0.429500 | + | 0.312050i | ||||
\(880\) | 8.60685 | + | 21.6024i | 0.290137 | + | 0.728218i | ||||
\(881\) | 27.3009 | + | 19.8353i | 0.919791 | + | 0.668268i | 0.943472 | − | 0.331452i | \(-0.107538\pi\) |
−0.0236807 | + | 0.999720i | \(0.507538\pi\) | |||||||
\(882\) | 1.68702 | 0.0568048 | ||||||||
\(883\) | −38.7157 | − | 28.1286i | −1.30289 | − | 0.946603i | −0.302907 | − | 0.953020i | \(-0.597957\pi\) |
−0.999979 | + | 0.00641732i | \(0.997957\pi\) | |||||||
\(884\) | −0.0937973 | + | 0.288678i | −0.00315474 | + | 0.00970930i | ||||
\(885\) | 47.1005 | − | 39.1360i | 1.58327 | − | 1.31554i | ||||
\(886\) | −1.37710 | − | 4.23829i | −0.0462647 | − | 0.142388i | ||||
\(887\) | 6.94376 | − | 21.3707i | 0.233149 | − | 0.717558i | −0.764213 | − | 0.644964i | \(-0.776872\pi\) |
0.997362 | − | 0.0725937i | \(-0.0231276\pi\) | |||||||
\(888\) | 6.50354 | − | 20.0158i | 0.218244 | − | 0.671687i | ||||
\(889\) | −1.96691 | − | 6.05353i | −0.0659681 | − | 0.203029i | ||||
\(890\) | 25.8902 | + | 16.3523i | 0.867840 | + | 0.548131i | ||||
\(891\) | −7.18212 | + | 22.1043i | −0.240610 | + | 0.740521i | ||||
\(892\) | 2.39271 | + | 1.73840i | 0.0801137 | + | 0.0582060i | ||||
\(893\) | −78.6582 | −2.63220 | ||||||||
\(894\) | −9.17666 | − | 6.66723i | −0.306913 | − | 0.222986i | ||||
\(895\) | 33.1453 | + | 20.9347i | 1.10793 | + | 0.699770i | ||||
\(896\) | 10.8280 | − | 7.86700i | 0.361738 | − | 0.262818i | ||||
\(897\) | −0.0560972 | + | 0.0407570i | −0.00187303 | + | 0.00136084i | ||||
\(898\) | −17.2631 | − | 53.1303i | −0.576077 | − | 1.77298i | ||||
\(899\) | 10.1432 | 0.338295 | ||||||||
\(900\) | −3.29889 | − | 1.79512i | −0.109963 | − | 0.0598375i | ||||
\(901\) | −7.60102 | −0.253227 | ||||||||
\(902\) | −2.97019 | − | 9.14132i | −0.0988966 | − | 0.304373i | ||||
\(903\) | 5.21601 | − | 3.78965i | 0.173578 | − | 0.126112i | ||||
\(904\) | 28.7693 | − | 20.9021i | 0.956853 | − | 0.695194i | ||||
\(905\) | −0.161891 | + | 0.636206i | −0.00538143 | + | 0.0211482i | ||||
\(906\) | −3.62887 | − | 2.63653i | −0.120561 | − | 0.0875927i | ||||
\(907\) | 40.2189 | 1.33545 | 0.667723 | − | 0.744409i | \(-0.267269\pi\) | ||||
0.667723 | + | 0.744409i | \(0.267269\pi\) | |||||||
\(908\) | −0.162299 | − | 0.117917i | −0.00538609 | − | 0.00391323i | ||||
\(909\) | −2.89270 | + | 8.90282i | −0.0959449 | + | 0.295288i | ||||
\(910\) | −0.887902 | − | 2.22856i | −0.0294337 | − | 0.0738759i | ||||
\(911\) | −2.69918 | − | 8.30722i | −0.0894279 | − | 0.275231i | 0.896334 | − | 0.443380i | \(-0.146221\pi\) |
−0.985761 | + | 0.168150i | \(0.946221\pi\) | |||||||
\(912\) | 18.9357 | − | 58.2782i | 0.627025 | − | 1.92978i | ||||
\(913\) | −10.9653 | + | 33.7476i | −0.362897 | + | 1.11688i | ||||
\(914\) | −8.78121 | − | 27.0258i | −0.290457 | − | 0.893934i | ||||
\(915\) | −4.53502 | + | 17.8219i | −0.149923 | + | 0.589175i | ||||
\(916\) | −5.73259 | + | 17.6431i | −0.189410 | + | 0.582945i | ||||
\(917\) | 11.9419 | + | 8.67629i | 0.394356 | + | 0.286516i | ||||
\(918\) | 4.17339 | 0.137742 | ||||||||
\(919\) | 28.4236 | + | 20.6509i | 0.937608 | + | 0.681212i | 0.947844 | − | 0.318736i | \(-0.103258\pi\) |
−0.0102358 | + | 0.999948i | \(0.503258\pi\) | |||||||
\(920\) | 0.248702 | − | 0.0161846i | 0.00819946 | − | 0.000533591i | ||||
\(921\) | 22.4892 | − | 16.3394i | 0.741046 | − | 0.538401i | ||||
\(922\) | 7.11434 | − | 5.16887i | 0.234298 | − | 0.170228i | ||||
\(923\) | 3.21202 | + | 9.88558i | 0.105725 | + | 0.325388i | ||||
\(924\) | 3.11469 | 0.102466 | ||||||||
\(925\) | 10.7897 | + | 22.6754i | 0.354764 | + | 0.745563i | ||||
\(926\) | −3.43045 | −0.112731 | ||||||||
\(927\) | 2.20211 | + | 6.77740i | 0.0723268 | + | 0.222599i | ||||
\(928\) | 13.5376 | − | 9.83566i | 0.444394 | − | 0.322871i | ||||
\(929\) | 44.6390 | − | 32.4321i | 1.46456 | − | 1.06406i | 0.482413 | − | 0.875944i | \(-0.339761\pi\) |
0.982146 | − | 0.188120i | \(-0.0602395\pi\) | |||||||
\(930\) | −13.7488 | + | 11.4239i | −0.450840 | + | 0.374605i | ||||
\(931\) | −5.01483 | − | 3.64348i | −0.164354 | − | 0.119410i | ||||
\(932\) | −12.7305 | −0.417002 | ||||||||
\(933\) | 13.3629 | + | 9.70875i | 0.437483 | + | 0.317850i | ||||
\(934\) | −17.6086 | + | 54.1937i | −0.576171 | + | 1.77327i | ||||
\(935\) | −2.99059 | + | 0.194616i | −0.0978027 | + | 0.00636464i | ||||
\(936\) | 0.427160 | + | 1.31466i | 0.0139622 | + | 0.0429711i | ||||
\(937\) | 14.2773 | − | 43.9411i | 0.466420 | − | 1.43549i | −0.390767 | − | 0.920490i | \(-0.627790\pi\) |
0.857187 | − | 0.515005i | \(-0.172210\pi\) | |||||||
\(938\) | −3.02093 | + | 9.29746i | −0.0986368 | + | 0.303573i | ||||
\(939\) | 16.6113 | + | 51.1244i | 0.542090 | + | 1.66838i | ||||
\(940\) | 20.8552 | − | 1.35718i | 0.680221 | − | 0.0442663i | ||||
\(941\) | 17.0591 | − | 52.5024i | 0.556110 | − | 1.71153i | −0.136885 | − | 0.990587i | \(-0.543709\pi\) |
0.692995 | − | 0.720943i | \(-0.256291\pi\) | |||||||
\(942\) | −15.8328 | − | 11.5032i | −0.515862 | − | 0.374796i | ||||
\(943\) | −0.146906 | −0.00478393 | ||||||||
\(944\) | −54.4866 | − | 39.5869i | −1.77339 | − | 1.28844i | ||||
\(945\) | −6.82810 | + | 5.67350i | −0.222118 | + | 0.184559i | ||||
\(946\) | 9.07713 | − | 6.59492i | 0.295123 | − | 0.214419i | ||||
\(947\) | −3.95192 | + | 2.87124i | −0.128420 | + | 0.0933027i | −0.650141 | − | 0.759814i | \(-0.725290\pi\) |
0.521721 | + | 0.853116i | \(0.325290\pi\) | |||||||
\(948\) | −7.00256 | − | 21.5517i | −0.227433 | − | 0.699965i | ||||
\(949\) | 3.55472 | 0.115391 | ||||||||
\(950\) | 22.0296 | + | 46.2967i | 0.714733 | + | 1.50206i | ||||
\(951\) | −42.3404 | −1.37298 | ||||||||
\(952\) | 0.410412 | + | 1.26312i | 0.0133015 | + | 0.0409379i | ||||
\(953\) | 13.6522 | − | 9.91887i | 0.442237 | − | 0.321304i | −0.344286 | − | 0.938865i | \(-0.611879\pi\) |
0.786523 | + | 0.617561i | \(0.211879\pi\) | |||||||
\(954\) | 16.3257 | − | 11.8613i | 0.528564 | − | 0.384024i | ||||
\(955\) | −9.04180 | + | 0.588407i | −0.292586 | + | 0.0190404i | ||||
\(956\) | −4.50829 | − | 3.27546i | −0.145808 | − | 0.105936i | ||||
\(957\) | −17.7959 | −0.575259 | ||||||||
\(958\) | −32.6695 | − | 23.7358i | −1.05550 | − | 0.766869i | ||||
\(959\) | −0.545107 | + | 1.67767i | −0.0176024 | + | 0.0541746i | ||||
\(960\) | 3.63002 | − | 14.2654i | 0.117158 | − | 0.460415i | ||||
\(961\) | −7.78428 | − | 23.9576i | −0.251106 | − | 0.772825i | ||||
\(962\) | −1.66501 | + | 5.12438i | −0.0536822 | + | 0.165217i | ||||
\(963\) | −2.26823 | + | 6.98091i | −0.0730928 | + | 0.224957i | ||||
\(964\) | 1.67124 | + | 5.14354i | 0.0538270 | + | 0.165662i | ||||
\(965\) | −13.5315 | − | 33.9628i | −0.435594 | − | 1.09330i | ||||
\(966\) | 0.0546560 | − | 0.168214i | 0.00175853 | − | 0.00541219i | ||||
\(967\) | −40.4252 | − | 29.3707i | −1.29999 | − | 0.944497i | −0.300033 | − | 0.953929i | \(-0.596998\pi\) |
−0.999956 | + | 0.00943219i | \(0.996998\pi\) | |||||||
\(968\) | 13.6929 | 0.440106 | ||||||||
\(969\) | 6.38905 | + | 4.64191i | 0.205246 | + | 0.149120i | ||||
\(970\) | 7.88919 | − | 31.0033i | 0.253307 | − | 0.995457i | ||||
\(971\) | −0.408733 | + | 0.296962i | −0.0131169 | + | 0.00952996i | −0.594324 | − | 0.804225i | \(-0.702580\pi\) |
0.581208 | + | 0.813755i | \(0.302580\pi\) | |||||||
\(972\) | −6.06771 | + | 4.40845i | −0.194622 | + | 0.141401i | ||||
\(973\) | 6.40874 | + | 19.7241i | 0.205455 | + | 0.632324i | ||||
\(974\) | 43.9729 | 1.40898 | ||||||||
\(975\) | −5.71059 | − | 3.10748i | −0.182885 | − | 0.0995190i | ||||
\(976\) | 20.2251 | 0.647389 | ||||||||
\(977\) | −0.101326 | − | 0.311850i | −0.00324171 | − | 0.00997697i | 0.949423 | − | 0.314001i | \(-0.101670\pi\) |
−0.952664 | + | 0.304024i | \(0.901670\pi\) | |||||||
\(978\) | −62.1018 | + | 45.1196i | −1.98580 | + | 1.44277i | ||||
\(979\) | −14.1258 | + | 10.2630i | −0.451464 | + | 0.328008i | ||||
\(980\) | 1.39248 | + | 0.879495i | 0.0444811 | + | 0.0280944i | ||||
\(981\) | −7.83194 | − | 5.69024i | −0.250055 | − | 0.181675i | ||||
\(982\) | 18.2571 | 0.582609 | ||||||||
\(983\) | −33.5982 | − | 24.4105i | −1.07161 | − | 0.778574i | −0.0954130 | − | 0.995438i | \(-0.530417\pi\) |
−0.976202 | + | 0.216864i | \(0.930417\pi\) | |||||||
\(984\) | −3.56726 | + | 10.9789i | −0.113720 | + | 0.349995i | ||||
\(985\) | −15.1232 | − | 9.55186i | −0.481865 | − | 0.304347i | ||||
\(986\) | 1.36700 | + | 4.20718i | 0.0435340 | + | 0.133984i | ||||
\(987\) | −7.86196 | + | 24.1966i | −0.250249 | + | 0.770187i | ||||
\(988\) | −0.914978 | + | 2.81601i | −0.0291093 | + | 0.0895893i | ||||
\(989\) | −0.0529922 | − | 0.163093i | −0.00168505 | − | 0.00518606i | ||||
\(990\) | 6.11957 | − | 5.08478i | 0.194493 | − | 0.161605i | ||||
\(991\) | 13.0453 | − | 40.1494i | 0.414399 | − | 1.27539i | −0.498389 | − | 0.866953i | \(-0.666075\pi\) |
0.912788 | − | 0.408434i | \(-0.133925\pi\) | |||||||
\(992\) | 7.75367 | + | 5.63337i | 0.246179 | + | 0.178860i | ||||
\(993\) | 9.63780 | 0.305846 | ||||||||
\(994\) | −21.4499 | − | 15.5843i | −0.680350 | − | 0.494303i | ||||
\(995\) | 0.551339 | + | 1.38381i | 0.0174786 | + | 0.0438698i | ||||
\(996\) | −20.0995 | + | 14.6032i | −0.636878 | + | 0.462719i | ||||
\(997\) | 29.8343 | − | 21.6759i | 0.944862 | − | 0.686483i | −0.00472390 | − | 0.999989i | \(-0.501504\pi\) |
0.949586 | + | 0.313506i | \(0.101504\pi\) | |||||||
\(998\) | 11.8752 | + | 36.5482i | 0.375904 | + | 1.15691i | ||||
\(999\) | 19.9395 | 0.630858 |
(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 | 175.2.h.b.106.5 | yes | 28 | |
5.2 | odd | 4 | 875.2.n.b.99.4 | 56 | |||
5.3 | odd | 4 | 875.2.n.b.99.11 | 56 | |||
5.4 | even | 2 | 875.2.h.b.526.3 | 28 | |||
25.3 | odd | 20 | 875.2.n.b.274.4 | 56 | |||
25.4 | even | 10 | 875.2.h.b.351.3 | 28 | |||
25.11 | even | 5 | 4375.2.a.g.1.11 | 14 | |||
25.14 | even | 10 | 4375.2.a.h.1.4 | 14 | |||
25.21 | even | 5 | inner | 175.2.h.b.71.5 | ✓ | 28 | |
25.22 | odd | 20 | 875.2.n.b.274.11 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.h.b.71.5 | ✓ | 28 | 25.21 | even | 5 | inner | |
175.2.h.b.106.5 | yes | 28 | 1.1 | even | 1 | trivial | |
875.2.h.b.351.3 | 28 | 25.4 | even | 10 | |||
875.2.h.b.526.3 | 28 | 5.4 | even | 2 | |||
875.2.n.b.99.4 | 56 | 5.2 | odd | 4 | |||
875.2.n.b.99.11 | 56 | 5.3 | odd | 4 | |||
875.2.n.b.274.4 | 56 | 25.3 | odd | 20 | |||
875.2.n.b.274.11 | 56 | 25.22 | odd | 20 | |||
4375.2.a.g.1.11 | 14 | 25.11 | even | 5 | |||
4375.2.a.h.1.4 | 14 | 25.14 | even | 10 |