Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(173,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 1, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.173");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.y (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: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(184\) |
Relative dimension: | \(92\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 173.20 | ||
Character | \(\chi\) | \(=\) | 504.173 |
Dual form | 504.2.y.a.437.20 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.12327 | + | 0.859225i | −0.794271 | + | 0.607564i | ||||
\(3\) | 0.944647 | + | 1.45177i | 0.545392 | + | 0.838181i | ||||
\(4\) | 0.523464 | − | 1.93028i | 0.261732 | − | 0.965141i | ||||
\(5\) | − | 3.97106i | − | 1.77591i | −0.459928 | − | 0.887956i | \(-0.652125\pi\) | ||
0.459928 | − | 0.887956i | \(-0.347875\pi\) | |||||||
\(6\) | −2.30849 | − | 0.819065i | −0.942438 | − | 0.334382i | ||||
\(7\) | −2.57827 | − | 0.593742i | −0.974494 | − | 0.224413i | ||||
\(8\) | 1.07056 | + | 2.61800i | 0.378499 | + | 0.925602i | ||||
\(9\) | −1.21528 | + | 2.74282i | −0.405094 | + | 0.914275i | ||||
\(10\) | 3.41204 | + | 4.46057i | 1.07898 | + | 1.41056i | ||||
\(11\) | −2.29171 | −0.690978 | −0.345489 | − | 0.938423i | \(-0.612287\pi\) | ||||
−0.345489 | + | 0.938423i | \(0.612287\pi\) | |||||||
\(12\) | 3.29682 | − | 1.06349i | 0.951709 | − | 0.307002i | ||||
\(13\) | 0.364860 | + | 0.631957i | 0.101194 | + | 0.175273i | 0.912177 | − | 0.409797i | \(-0.134400\pi\) |
−0.810983 | + | 0.585070i | \(0.801067\pi\) | |||||||
\(14\) | 3.40625 | − | 1.54838i | 0.910357 | − | 0.413823i | ||||
\(15\) | 5.76508 | − | 3.75125i | 1.48854 | − | 0.968569i | ||||
\(16\) | −3.45197 | − | 2.02086i | −0.862993 | − | 0.505216i | ||||
\(17\) | −3.53491 | − | 6.12264i | −0.857340 | − | 1.48496i | −0.874457 | − | 0.485104i | \(-0.838782\pi\) |
0.0171162 | − | 0.999854i | \(-0.494551\pi\) | |||||||
\(18\) | −0.991615 | − | 4.12513i | −0.233726 | − | 0.972303i | ||||
\(19\) | −1.20692 | + | 2.09045i | −0.276887 | + | 0.479582i | −0.970609 | − | 0.240660i | \(-0.922636\pi\) |
0.693723 | + | 0.720242i | \(0.255969\pi\) | |||||||
\(20\) | −7.66527 | − | 2.07871i | −1.71401 | − | 0.464813i | ||||
\(21\) | −1.57358 | − | 4.30393i | −0.343383 | − | 0.939196i | ||||
\(22\) | 2.57421 | − | 1.96910i | 0.548823 | − | 0.419813i | ||||
\(23\) | − | 1.38400i | − | 0.288585i | −0.989535 | − | 0.144292i | \(-0.953909\pi\) | ||
0.989535 | − | 0.144292i | \(-0.0460906\pi\) | |||||||
\(24\) | −2.78944 | + | 4.02729i | −0.569391 | + | 0.822067i | ||||
\(25\) | −10.7693 | −2.15387 | ||||||||
\(26\) | −0.952829 | − | 0.396360i | −0.186865 | − | 0.0777325i | ||||
\(27\) | −5.12997 | + | 0.826688i | −0.987263 | + | 0.159096i | ||||
\(28\) | −2.49572 | + | 4.66598i | −0.471646 | + | 0.881788i | ||||
\(29\) | 3.75443 | − | 6.50286i | 0.697180 | − | 1.20755i | −0.272260 | − | 0.962224i | \(-0.587771\pi\) |
0.969440 | − | 0.245327i | \(-0.0788955\pi\) | |||||||
\(30\) | −3.25256 | + | 9.16716i | −0.593833 | + | 1.67369i | ||||
\(31\) | −5.08798 | − | 2.93755i | −0.913829 | − | 0.527599i | −0.0321675 | − | 0.999482i | \(-0.510241\pi\) |
−0.881661 | + | 0.471883i | \(0.843574\pi\) | |||||||
\(32\) | 5.61387 | − | 0.696048i | 0.992401 | − | 0.123045i | ||||
\(33\) | −2.16486 | − | 3.32705i | −0.376854 | − | 0.579164i | ||||
\(34\) | 9.23137 | + | 3.84008i | 1.58317 | + | 0.658569i | ||||
\(35\) | −2.35778 | + | 10.2385i | −0.398538 | + | 1.73062i | ||||
\(36\) | 4.65827 | + | 3.78161i | 0.776378 | + | 0.630268i | ||||
\(37\) | −1.62245 | − | 0.936723i | −0.266729 | − | 0.153996i | 0.360671 | − | 0.932693i | \(-0.382548\pi\) |
−0.627400 | + | 0.778697i | \(0.715881\pi\) | |||||||
\(38\) | −0.440470 | − | 3.38515i | −0.0714537 | − | 0.549145i | ||||
\(39\) | −0.572792 | + | 1.12667i | −0.0917202 | + | 0.180412i | ||||
\(40\) | 10.3962 | − | 4.25125i | 1.64379 | − | 0.672181i | ||||
\(41\) | −4.35544 | − | 7.54384i | −0.680205 | − | 1.17815i | −0.974918 | − | 0.222564i | \(-0.928557\pi\) |
0.294713 | − | 0.955586i | \(-0.404776\pi\) | |||||||
\(42\) | 5.46560 | + | 3.48242i | 0.843360 | + | 0.537348i | ||||
\(43\) | 10.4290 | + | 6.02121i | 1.59041 | + | 0.918226i | 0.993235 | + | 0.116119i | \(0.0370453\pi\) |
0.597179 | + | 0.802108i | \(0.296288\pi\) | |||||||
\(44\) | −1.19963 | + | 4.42365i | −0.180851 | + | 0.666891i | ||||
\(45\) | 10.8919 | + | 4.82596i | 1.62367 | + | 0.719412i | ||||
\(46\) | 1.18917 | + | 1.55461i | 0.175334 | + | 0.229215i | ||||
\(47\) | −1.73952 | − | 3.01293i | −0.253734 | − | 0.439481i | 0.710817 | − | 0.703377i | \(-0.248326\pi\) |
−0.964551 | + | 0.263896i | \(0.914992\pi\) | |||||||
\(48\) | −0.327061 | − | 6.92048i | −0.0472073 | − | 0.998885i | ||||
\(49\) | 6.29494 | + | 3.06165i | 0.899277 | + | 0.437379i | ||||
\(50\) | 12.0969 | − | 9.25328i | 1.71075 | − | 1.30861i | ||||
\(51\) | 5.54943 | − | 10.9156i | 0.777076 | − | 1.52849i | ||||
\(52\) | 1.41085 | − | 0.373477i | 0.195649 | − | 0.0517919i | ||||
\(53\) | 1.80951 | + | 3.13416i | 0.248555 | + | 0.430509i | 0.963125 | − | 0.269054i | \(-0.0867111\pi\) |
−0.714570 | + | 0.699564i | \(0.753378\pi\) | |||||||
\(54\) | 5.05202 | − | 5.33639i | 0.687493 | − | 0.726191i | ||||
\(55\) | 9.10054i | 1.22712i | ||||||||
\(56\) | −1.20577 | − | 7.38553i | −0.161128 | − | 0.986934i | ||||
\(57\) | −4.17497 | + | 0.222563i | −0.552989 | + | 0.0294792i | ||||
\(58\) | 1.37019 | + | 10.5304i | 0.179915 | + | 1.38270i | ||||
\(59\) | −5.72312 | − | 3.30424i | −0.745087 | − | 0.430176i | 0.0788292 | − | 0.996888i | \(-0.474882\pi\) |
−0.823916 | + | 0.566712i | \(0.808215\pi\) | |||||||
\(60\) | −4.22317 | − | 13.0919i | −0.545208 | − | 1.69015i | ||||
\(61\) | 1.14171 | + | 1.97750i | 0.146181 | + | 0.253193i | 0.929813 | − | 0.368032i | \(-0.119968\pi\) |
−0.783632 | + | 0.621225i | \(0.786635\pi\) | |||||||
\(62\) | 8.23918 | − | 1.07207i | 1.04638 | − | 0.136153i | ||||
\(63\) | 4.76186 | − | 6.35018i | 0.599937 | − | 0.800047i | ||||
\(64\) | −5.70782 | + | 5.60543i | −0.713477 | + | 0.700678i | ||||
\(65\) | 2.50954 | − | 1.44888i | 0.311270 | − | 0.179712i | ||||
\(66\) | 5.29040 | + | 1.87706i | 0.651203 | + | 0.231050i | ||||
\(67\) | 1.46604 | + | 0.846418i | 0.179105 | + | 0.103406i | 0.586872 | − | 0.809680i | \(-0.300359\pi\) |
−0.407767 | + | 0.913086i | \(0.633692\pi\) | |||||||
\(68\) | −13.6688 | + | 3.61838i | −1.65759 | + | 0.438793i | ||||
\(69\) | 2.00926 | − | 1.30740i | 0.241886 | − | 0.157392i | ||||
\(70\) | −6.14872 | − | 13.5264i | −0.734913 | − | 1.61672i | ||||
\(71\) | 7.40857i | 0.879235i | 0.898185 | + | 0.439618i | \(0.144886\pi\) | ||||
−0.898185 | + | 0.439618i | \(0.855114\pi\) | |||||||
\(72\) | −8.48174 | − | 0.245259i | −0.999582 | − | 0.0289041i | ||||
\(73\) | 0.925740 | − | 0.534476i | 0.108350 | − | 0.0625557i | −0.444846 | − | 0.895607i | \(-0.646742\pi\) |
0.553196 | + | 0.833051i | \(0.313408\pi\) | |||||||
\(74\) | 2.62730 | − | 0.341860i | 0.305418 | − | 0.0397404i | ||||
\(75\) | −10.1732 | − | 15.6346i | −1.17470 | − | 1.80533i | ||||
\(76\) | 3.40338 | + | 3.42397i | 0.390394 | + | 0.392757i | ||||
\(77\) | 5.90865 | + | 1.36069i | 0.673354 | + | 0.155065i | ||||
\(78\) | −0.324664 | − | 1.75771i | −0.0367609 | − | 0.199022i | ||||
\(79\) | −1.89917 | − | 3.28947i | −0.213674 | − | 0.370094i | 0.739188 | − | 0.673500i | \(-0.235210\pi\) |
−0.952862 | + | 0.303406i | \(0.901876\pi\) | |||||||
\(80\) | −8.02498 | + | 13.7080i | −0.897220 | + | 1.53260i | ||||
\(81\) | −6.04617 | − | 6.66662i | −0.671797 | − | 0.740735i | ||||
\(82\) | 11.3742 | + | 4.73145i | 1.25607 | + | 0.522502i | ||||
\(83\) | 11.0110 | + | 6.35720i | 1.20861 | + | 0.697794i | 0.962456 | − | 0.271436i | \(-0.0874985\pi\) |
0.246158 | + | 0.969230i | \(0.420832\pi\) | |||||||
\(84\) | −9.13152 | + | 0.784493i | −0.996330 | + | 0.0855953i | ||||
\(85\) | −24.3134 | + | 14.0373i | −2.63715 | + | 1.52256i | ||||
\(86\) | −16.8882 | + | 2.19746i | −1.82110 | + | 0.236959i | ||||
\(87\) | 12.9873 | − | 0.692336i | 1.39238 | − | 0.0742263i | ||||
\(88\) | −2.45341 | − | 5.99970i | −0.261534 | − | 0.639570i | ||||
\(89\) | −2.05246 | + | 3.55496i | −0.217560 | + | 0.376825i | −0.954062 | − | 0.299611i | \(-0.903143\pi\) |
0.736501 | + | 0.676436i | \(0.236476\pi\) | |||||||
\(90\) | −16.3811 | + | 3.93777i | −1.72672 | + | 0.415077i | ||||
\(91\) | −0.565489 | − | 1.84599i | −0.0592794 | − | 0.193512i | ||||
\(92\) | −2.67152 | − | 0.724476i | −0.278525 | − | 0.0755319i | ||||
\(93\) | −0.541699 | − | 10.1615i | −0.0561716 | − | 1.05370i | ||||
\(94\) | 4.54273 | + | 1.88969i | 0.468547 | + | 0.194907i | ||||
\(95\) | 8.30131 | + | 4.79276i | 0.851696 | + | 0.491727i | ||||
\(96\) | 6.31363 | + | 7.49254i | 0.644382 | + | 0.764704i | ||||
\(97\) | 8.60686 | + | 4.96917i | 0.873894 | + | 0.504543i | 0.868640 | − | 0.495443i | \(-0.164994\pi\) |
0.00525356 | + | 0.999986i | \(0.498328\pi\) | |||||||
\(98\) | −9.70156 | + | 1.96972i | −0.980005 | + | 0.198972i | ||||
\(99\) | 2.78508 | − | 6.28577i | 0.279911 | − | 0.631743i | ||||
\(100\) | −5.63736 | + | 20.7878i | −0.563736 | + | 2.07878i | ||||
\(101\) | − | 4.52304i | − | 0.450059i | −0.974352 | − | 0.225030i | \(-0.927752\pi\) | ||
0.974352 | − | 0.225030i | \(-0.0722479\pi\) | |||||||
\(102\) | 3.14547 | + | 17.0294i | 0.311447 | + | 1.68616i | ||||
\(103\) | − | 14.6007i | − | 1.43864i | −0.694676 | − | 0.719322i | \(-0.744452\pi\) | ||
0.694676 | − | 0.719322i | \(-0.255548\pi\) | |||||||
\(104\) | −1.26386 | + | 1.63175i | −0.123931 | + | 0.160006i | ||||
\(105\) | −17.0912 | + | 6.24877i | −1.66793 | + | 0.609818i | ||||
\(106\) | −4.72551 | − | 1.96573i | −0.458982 | − | 0.190928i | ||||
\(107\) | 7.10349 | − | 12.3036i | 0.686721 | − | 1.18943i | −0.286172 | − | 0.958178i | \(-0.592383\pi\) |
0.972893 | − | 0.231257i | \(-0.0742837\pi\) | |||||||
\(108\) | −1.08961 | + | 10.3350i | −0.104848 | + | 0.994488i | ||||
\(109\) | −4.48809 | + | 2.59120i | −0.429881 | + | 0.248192i | −0.699296 | − | 0.714832i | \(-0.746503\pi\) |
0.269415 | + | 0.963024i | \(0.413170\pi\) | |||||||
\(110\) | −7.81941 | − | 10.2223i | −0.745552 | − | 0.974662i | ||||
\(111\) | −0.172737 | − | 3.24030i | −0.0163954 | − | 0.307556i | ||||
\(112\) | 7.70024 | + | 7.25991i | 0.727604 | + | 0.685997i | ||||
\(113\) | −2.37957 | + | 1.37385i | −0.223852 | + | 0.129241i | −0.607732 | − | 0.794142i | \(-0.707921\pi\) |
0.383881 | + | 0.923383i | \(0.374587\pi\) | |||||||
\(114\) | 4.49838 | − | 3.83724i | 0.421312 | − | 0.359390i | ||||
\(115\) | −5.49597 | −0.512502 | ||||||||
\(116\) | −10.5870 | − | 10.6511i | −0.982982 | − | 0.988931i | ||||
\(117\) | −2.17675 | + | 0.232742i | −0.201241 | + | 0.0215170i | ||||
\(118\) | 9.26769 | − | 1.20590i | 0.853160 | − | 0.111012i | ||||
\(119\) | 5.47867 | + | 17.8846i | 0.502229 | + | 1.63948i | ||||
\(120\) | 15.9926 | + | 11.0770i | 1.45992 | + | 1.01119i | ||||
\(121\) | −5.74805 | −0.522550 | ||||||||
\(122\) | −2.98157 | − | 1.24028i | −0.269938 | − | 0.112289i | ||||
\(123\) | 6.83758 | − | 13.4494i | 0.616524 | − | 1.21269i | ||||
\(124\) | −8.33367 | + | 8.28354i | −0.748385 | + | 0.743884i | ||||
\(125\) | 22.9104i | 2.04917i | ||||||||
\(126\) | 0.107390 | + | 11.2245i | 0.00956706 | + | 0.999954i | ||||
\(127\) | 11.1350 | 0.988074 | 0.494037 | − | 0.869441i | \(-0.335521\pi\) | ||||
0.494037 | + | 0.869441i | \(0.335521\pi\) | |||||||
\(128\) | 1.59509 | − | 11.2007i | 0.140987 | − | 0.990011i | ||||
\(129\) | 1.11034 | + | 20.8285i | 0.0977603 | + | 1.83385i | ||||
\(130\) | −1.57397 | + | 3.78374i | −0.138046 | + | 0.331856i | ||||
\(131\) | 6.70139i | 0.585503i | 0.956189 | + | 0.292752i | \(0.0945709\pi\) | ||||
−0.956189 | + | 0.292752i | \(0.905429\pi\) | |||||||
\(132\) | −7.55536 | + | 2.43720i | −0.657610 | + | 0.212131i | ||||
\(133\) | 4.35296 | − | 4.67314i | 0.377449 | − | 0.405213i | ||||
\(134\) | −2.37402 | + | 0.308903i | −0.205084 | + | 0.0266852i | ||||
\(135\) | 3.28283 | + | 20.3714i | 0.282541 | + | 1.75329i | ||||
\(136\) | 12.2447 | − | 15.8090i | 1.04998 | − | 1.35561i | ||||
\(137\) | 16.5869i | 1.41712i | 0.705652 | + | 0.708558i | \(0.250654\pi\) | ||||
−0.705652 | + | 0.708558i | \(0.749346\pi\) | |||||||
\(138\) | −1.13359 | + | 3.19496i | −0.0964975 | + | 0.271973i | ||||
\(139\) | 1.93078 | + | 3.34421i | 0.163767 | + | 0.283652i | 0.936217 | − | 0.351423i | \(-0.114302\pi\) |
−0.772450 | + | 0.635076i | \(0.780969\pi\) | |||||||
\(140\) | 18.5289 | + | 9.91065i | 1.56598 | + | 0.837603i | ||||
\(141\) | 2.73086 | − | 5.37154i | 0.229980 | − | 0.452365i | ||||
\(142\) | −6.36563 | − | 8.32181i | −0.534192 | − | 0.698351i | ||||
\(143\) | −0.836155 | − | 1.44826i | −0.0699228 | − | 0.121110i | ||||
\(144\) | 9.73800 | − | 7.01223i | 0.811500 | − | 0.584353i | ||||
\(145\) | −25.8233 | − | 14.9091i | −2.14451 | − | 1.23813i | ||||
\(146\) | −0.580619 | + | 1.39578i | −0.0480524 | + | 0.115516i | ||||
\(147\) | 1.50168 | + | 12.0310i | 0.123857 | + | 0.992300i | ||||
\(148\) | −2.65743 | + | 2.64145i | −0.218440 | + | 0.217126i | ||||
\(149\) | −5.97768 | −0.489710 | −0.244855 | − | 0.969560i | \(-0.578740\pi\) | ||||
−0.244855 | + | 0.969560i | \(0.578740\pi\) | |||||||
\(150\) | 24.8609 | + | 8.82078i | 2.02989 | + | 0.720214i | ||||
\(151\) | 2.52587 | 0.205552 | 0.102776 | − | 0.994705i | \(-0.467228\pi\) | ||||
0.102776 | + | 0.994705i | \(0.467228\pi\) | |||||||
\(152\) | −6.76487 | − | 0.921774i | −0.548703 | − | 0.0747657i | ||||
\(153\) | 21.0892 | − | 2.25489i | 1.70496 | − | 0.182297i | ||||
\(154\) | −7.80614 | + | 3.54845i | −0.629037 | + | 0.285942i | ||||
\(155\) | −11.6652 | + | 20.2047i | −0.936970 | + | 1.62288i | ||||
\(156\) | 1.87495 | + | 1.69542i | 0.150116 | + | 0.135742i | ||||
\(157\) | 5.22202 | − | 9.04480i | 0.416763 | − | 0.721854i | −0.578849 | − | 0.815435i | \(-0.696498\pi\) |
0.995612 | + | 0.0935808i | \(0.0298313\pi\) | |||||||
\(158\) | 4.95968 | + | 2.06314i | 0.394571 | + | 0.164134i | ||||
\(159\) | −2.84073 | + | 5.58766i | −0.225285 | + | 0.443130i | ||||
\(160\) | −2.76405 | − | 22.2930i | −0.218517 | − | 1.76242i | ||||
\(161\) | −0.821741 | + | 3.56834i | −0.0647623 | + | 0.281224i | ||||
\(162\) | 12.5196 | + | 2.29337i | 0.983633 | + | 0.180184i | ||||
\(163\) | −11.1724 | − | 6.45037i | −0.875087 | − | 0.505232i | −0.00605184 | − | 0.999982i | \(-0.501926\pi\) |
−0.869035 | + | 0.494750i | \(0.835260\pi\) | |||||||
\(164\) | −16.8416 | + | 4.45829i | −1.31511 | + | 0.348134i | ||||
\(165\) | −13.2119 | + | 8.59680i | −1.02855 | + | 0.669260i | ||||
\(166\) | −17.8306 | + | 2.32008i | −1.38392 | + | 0.180073i | ||||
\(167\) | −6.23486 | − | 10.7991i | −0.482468 | − | 0.835659i | 0.517329 | − | 0.855786i | \(-0.326926\pi\) |
−0.999797 | + | 0.0201270i | \(0.993593\pi\) | |||||||
\(168\) | 9.58309 | − | 8.72723i | 0.739351 | − | 0.673320i | ||||
\(169\) | 6.23375 | − | 10.7972i | 0.479520 | − | 0.830552i | ||||
\(170\) | 15.2492 | − | 36.6583i | 1.16956 | − | 2.81157i | ||||
\(171\) | −4.26699 | − | 5.85086i | −0.326305 | − | 0.447427i | ||||
\(172\) | 17.0819 | − | 16.9791i | 1.30248 | − | 1.29464i | ||||
\(173\) | 15.0773 | − | 8.70488i | 1.14631 | − | 0.661820i | 0.198321 | − | 0.980137i | \(-0.436451\pi\) |
0.947984 | + | 0.318317i | \(0.103118\pi\) | |||||||
\(174\) | −13.9933 | + | 11.9367i | −1.06083 | + | 0.904917i | ||||
\(175\) | 27.7662 | + | 6.39420i | 2.09893 | + | 0.483356i | ||||
\(176\) | 7.91093 | + | 4.63124i | 0.596309 | + | 0.349093i | ||||
\(177\) | −0.609320 | − | 11.4300i | −0.0457993 | − | 0.859132i | ||||
\(178\) | −0.749052 | − | 5.75670i | −0.0561438 | − | 0.431483i | ||||
\(179\) | −1.10901 | − | 1.92086i | −0.0828914 | − | 0.143572i | 0.821599 | − | 0.570065i | \(-0.193082\pi\) |
−0.904491 | + | 0.426493i | \(0.859749\pi\) | |||||||
\(180\) | 15.0170 | − | 18.4983i | 1.11930 | − | 1.37878i | ||||
\(181\) | −6.08899 | −0.452591 | −0.226295 | − | 0.974059i | \(-0.572661\pi\) | ||||
−0.226295 | + | 0.974059i | \(0.572661\pi\) | |||||||
\(182\) | 2.22131 | + | 1.58766i | 0.164655 | + | 0.117685i | ||||
\(183\) | −1.79237 | + | 3.52555i | −0.132496 | + | 0.260616i | ||||
\(184\) | 3.62332 | − | 1.48166i | 0.267115 | − | 0.109229i | ||||
\(185\) | −3.71978 | + | 6.44285i | −0.273484 | + | 0.473688i | ||||
\(186\) | 9.33952 | + | 10.9487i | 0.684807 | + | 0.802797i | ||||
\(187\) | 8.10099 | + | 14.0313i | 0.592403 | + | 1.02607i | ||||
\(188\) | −6.72638 | + | 1.78060i | −0.490571 | + | 0.129863i | ||||
\(189\) | 13.7173 | + | 0.914451i | 0.997785 | + | 0.0665166i | ||||
\(190\) | −13.4427 | + | 1.74914i | −0.975233 | + | 0.126896i | ||||
\(191\) | −10.2673 | + | 5.92784i | −0.742918 | + | 0.428924i | −0.823129 | − | 0.567854i | \(-0.807774\pi\) |
0.0802116 | + | 0.996778i | \(0.474440\pi\) | |||||||
\(192\) | −13.5297 | − | 2.99130i | −0.976420 | − | 0.215878i | ||||
\(193\) | 1.41644 | − | 2.45335i | 0.101958 | − | 0.176596i | −0.810534 | − | 0.585692i | \(-0.800823\pi\) |
0.912491 | + | 0.409096i | \(0.134156\pi\) | |||||||
\(194\) | −13.9374 | + | 1.81352i | −1.00065 | + | 0.130203i | ||||
\(195\) | 4.47408 | + | 2.27459i | 0.320395 | + | 0.162887i | ||||
\(196\) | 9.20502 | − | 10.5483i | 0.657502 | − | 0.753453i | ||||
\(197\) | −14.0278 | −0.999438 | −0.499719 | − | 0.866188i | \(-0.666563\pi\) | ||||
−0.499719 | + | 0.866188i | \(0.666563\pi\) | |||||||
\(198\) | 2.27250 | + | 9.45362i | 0.161499 | + | 0.671839i | ||||
\(199\) | −4.83204 | + | 2.78978i | −0.342535 | + | 0.197762i | −0.661392 | − | 0.750040i | \(-0.730034\pi\) |
0.318858 | + | 0.947803i | \(0.396701\pi\) | |||||||
\(200\) | −11.5292 | − | 28.1941i | −0.815236 | − | 1.99362i | ||||
\(201\) | 0.156084 | + | 2.92792i | 0.0110093 | + | 0.206520i | ||||
\(202\) | 3.88631 | + | 5.08059i | 0.273440 | + | 0.357469i | ||||
\(203\) | −13.5409 | + | 14.5370i | −0.950388 | + | 1.02029i | ||||
\(204\) | −18.1653 | − | 16.4259i | −1.27182 | − | 1.15004i | ||||
\(205\) | −29.9571 | + | 17.2957i | −2.09229 | + | 1.20799i | ||||
\(206\) | 12.5452 | + | 16.4004i | 0.874069 | + | 1.14267i | ||||
\(207\) | 3.79608 | + | 1.68196i | 0.263846 | + | 0.116904i | ||||
\(208\) | 0.0176112 | − | 2.91883i | 0.00122112 | − | 0.202384i | ||||
\(209\) | 2.76592 | − | 4.79071i | 0.191323 | − | 0.331381i | ||||
\(210\) | 13.8289 | − | 21.7042i | 0.954284 | − | 1.49773i | ||||
\(211\) | 2.70924 | − | 1.56418i | 0.186511 | − | 0.107682i | −0.403837 | − | 0.914831i | \(-0.632324\pi\) |
0.590348 | + | 0.807149i | \(0.298990\pi\) | |||||||
\(212\) | 6.99701 | − | 1.85224i | 0.480557 | − | 0.127212i | ||||
\(213\) | −10.7556 | + | 6.99848i | −0.736958 | + | 0.479528i | ||||
\(214\) | 2.59244 | + | 19.9238i | 0.177216 | + | 1.36196i | ||||
\(215\) | 23.9106 | − | 41.4144i | 1.63069 | − | 2.82444i | ||||
\(216\) | −7.65619 | − | 12.5452i | −0.520938 | − | 0.853595i | ||||
\(217\) | 11.3740 | + | 10.5947i | 0.772120 | + | 0.719217i | ||||
\(218\) | 2.81490 | − | 6.76689i | 0.190649 | − | 0.458312i | ||||
\(219\) | 1.65044 | + | 0.839072i | 0.111526 | + | 0.0566992i | ||||
\(220\) | 17.5666 | + | 4.76380i | 1.18434 | + | 0.321175i | ||||
\(221\) | 2.57949 | − | 4.46781i | 0.173515 | − | 0.300538i | ||||
\(222\) | 2.97818 | + | 3.49131i | 0.199882 | + | 0.234321i | ||||
\(223\) | −6.50445 | − | 3.75534i | −0.435570 | − | 0.251476i | 0.266147 | − | 0.963933i | \(-0.414249\pi\) |
−0.701717 | + | 0.712456i | \(0.747583\pi\) | |||||||
\(224\) | −14.8873 | − | 1.53859i | −0.994702 | − | 0.102801i | ||||
\(225\) | 13.0878 | − | 29.5384i | 0.872519 | − | 1.96923i | ||||
\(226\) | 1.49246 | − | 3.58779i | 0.0992767 | − | 0.238656i | ||||
\(227\) | 15.6848i | 1.04104i | 0.853850 | + | 0.520519i | \(0.174261\pi\) | ||||
−0.853850 | + | 0.520519i | \(0.825739\pi\) | |||||||
\(228\) | −1.75584 | + | 8.17537i | −0.116283 | + | 0.541427i | ||||
\(229\) | 5.62226 | 0.371529 | 0.185765 | − | 0.982594i | \(-0.440524\pi\) | ||||
0.185765 | + | 0.982594i | \(0.440524\pi\) | |||||||
\(230\) | 6.17345 | − | 4.72228i | 0.407065 | − | 0.311378i | ||||
\(231\) | 3.60619 | + | 9.86339i | 0.237270 | + | 0.648963i | ||||
\(232\) | 21.0438 | + | 2.86740i | 1.38159 | + | 0.188254i | ||||
\(233\) | 20.3295 | + | 11.7372i | 1.33183 | + | 0.768932i | 0.985580 | − | 0.169210i | \(-0.0541217\pi\) |
0.346250 | + | 0.938142i | \(0.387455\pi\) | |||||||
\(234\) | 2.24510 | − | 2.13175i | 0.146767 | − | 0.139357i | ||||
\(235\) | −11.9645 | + | 6.90773i | −0.780480 | + | 0.450610i | ||||
\(236\) | −9.37397 | + | 9.31758i | −0.610193 | + | 0.606523i | ||||
\(237\) | 2.98151 | − | 5.86455i | 0.193670 | − | 0.380944i | ||||
\(238\) | −21.5209 | − | 15.3818i | −1.39500 | − | 0.997055i | ||||
\(239\) | −19.7345 | + | 11.3937i | −1.27652 | + | 0.737000i | −0.976207 | − | 0.216840i | \(-0.930425\pi\) |
−0.300315 | + | 0.953840i | \(0.597092\pi\) | |||||||
\(240\) | −27.4817 | + | 1.29878i | −1.77393 | + | 0.0838360i | ||||
\(241\) | − | 21.3577i | − | 1.37577i | −0.725821 | − | 0.687884i | \(-0.758540\pi\) | ||
0.725821 | − | 0.687884i | \(-0.241460\pi\) | |||||||
\(242\) | 6.45660 | − | 4.93887i | 0.415046 | − | 0.317483i | ||||
\(243\) | 3.96690 | − | 15.0753i | 0.254477 | − | 0.967079i | ||||
\(244\) | 4.41478 | − | 1.16867i | 0.282627 | − | 0.0748166i | ||||
\(245\) | 12.1580 | − | 24.9976i | 0.776747 | − | 1.59704i | ||||
\(246\) | 3.87560 | + | 20.9823i | 0.247099 | + | 1.33778i | ||||
\(247\) | −1.76143 | −0.112077 | ||||||||
\(248\) | 2.24352 | − | 16.4651i | 0.142464 | − | 1.04554i | ||||
\(249\) | 1.17230 | + | 21.9908i | 0.0742916 | + | 1.39361i | ||||
\(250\) | −19.6852 | − | 25.7345i | −1.24500 | − | 1.62759i | ||||
\(251\) | − | 3.53437i | − | 0.223087i | −0.993760 | − | 0.111544i | \(-0.964421\pi\) | ||
0.993760 | − | 0.111544i | \(-0.0355795\pi\) | |||||||
\(252\) | −9.76497 | − | 12.5158i | −0.615135 | − | 0.788422i | ||||
\(253\) | 3.17174i | 0.199406i | ||||||||
\(254\) | −12.5076 | + | 9.56750i | −0.784799 | + | 0.600319i | ||||
\(255\) | −43.3466 | − | 22.0371i | −2.71447 | − | 1.38002i | ||||
\(256\) | 7.83221 | + | 13.9519i | 0.489513 | + | 0.871996i | ||||
\(257\) | −3.62692 | −0.226241 | −0.113121 | − | 0.993581i | \(-0.536085\pi\) | ||||
−0.113121 | + | 0.993581i | \(0.536085\pi\) | |||||||
\(258\) | −19.1436 | − | 22.4420i | −1.19183 | − | 1.39718i | ||||
\(259\) | 3.62694 | + | 3.37844i | 0.225367 | + | 0.209926i | ||||
\(260\) | −1.48310 | − | 5.60255i | −0.0919779 | − | 0.347456i | ||||
\(261\) | 13.2735 | + | 18.2006i | 0.821610 | + | 1.12659i | ||||
\(262\) | −5.75801 | − | 7.52746i | −0.355731 | − | 0.465048i | ||||
\(263\) | − | 3.46168i | − | 0.213456i | −0.994288 | − | 0.106728i | \(-0.965963\pi\) | ||
0.994288 | − | 0.106728i | \(-0.0340375\pi\) | |||||||
\(264\) | 6.39259 | − | 9.22939i | 0.393437 | − | 0.568030i | ||||
\(265\) | 12.4459 | − | 7.18566i | 0.764547 | − | 0.441412i | ||||
\(266\) | −0.874256 | + | 8.98936i | −0.0536041 | + | 0.551173i | ||||
\(267\) | −7.09984 | + | 0.378484i | −0.434503 | + | 0.0231629i | ||||
\(268\) | 2.40124 | − | 2.38680i | 0.146679 | − | 0.145797i | ||||
\(269\) | 11.1391 | − | 6.43118i | 0.679165 | − | 0.392116i | −0.120375 | − | 0.992728i | \(-0.538410\pi\) |
0.799540 | + | 0.600612i | \(0.205076\pi\) | |||||||
\(270\) | −21.1911 | − | 20.0619i | −1.28965 | − | 1.22093i | ||||
\(271\) | 15.4126 | + | 8.89849i | 0.936251 | + | 0.540545i | 0.888783 | − | 0.458328i | \(-0.151551\pi\) |
0.0474680 | + | 0.998873i | \(0.484885\pi\) | |||||||
\(272\) | −0.170624 | + | 28.2787i | −0.0103456 | + | 1.71465i | ||||
\(273\) | 2.14576 | − | 2.56477i | 0.129868 | − | 0.155227i | ||||
\(274\) | −14.2519 | − | 18.6316i | −0.860989 | − | 1.12557i | ||||
\(275\) | 24.6802 | 1.48827 | ||||||||
\(276\) | −1.47187 | − | 4.56281i | −0.0885961 | − | 0.274649i | ||||
\(277\) | − | 25.6108i | − | 1.53880i | −0.638764 | − | 0.769402i | \(-0.720554\pi\) | ||
0.638764 | − | 0.769402i | \(-0.279446\pi\) | |||||||
\(278\) | −5.04222 | − | 2.09747i | −0.302412 | − | 0.125798i | ||||
\(279\) | 14.2405 | − | 10.3855i | 0.852557 | − | 0.621763i | ||||
\(280\) | −29.3284 | + | 4.78818i | −1.75271 | + | 0.286149i | ||||
\(281\) | −14.9008 | − | 8.60300i | −0.888909 | − | 0.513212i | −0.0153234 | − | 0.999883i | \(-0.504878\pi\) |
−0.873585 | + | 0.486671i | \(0.838211\pi\) | |||||||
\(282\) | 1.54787 | + | 8.38010i | 0.0921745 | + | 0.499028i | ||||
\(283\) | 14.0317 | − | 24.3036i | 0.834097 | − | 1.44470i | −0.0606663 | − | 0.998158i | \(-0.519323\pi\) |
0.894763 | − | 0.446541i | \(-0.147344\pi\) | |||||||
\(284\) | 14.3006 | + | 3.87812i | 0.848586 | + | 0.230124i | ||||
\(285\) | 0.883810 | + | 16.5791i | 0.0523524 | + | 0.982060i | ||||
\(286\) | 2.18361 | + | 0.908343i | 0.129120 | + | 0.0537114i | ||||
\(287\) | 6.75040 | + | 22.0361i | 0.398463 | + | 1.30075i | ||||
\(288\) | −4.91330 | + | 16.2438i | −0.289519 | + | 0.957172i | ||||
\(289\) | −16.4911 | + | 28.5634i | −0.970065 | + | 1.68020i | ||||
\(290\) | 41.8167 | − | 5.44112i | 2.45556 | − | 0.319513i | ||||
\(291\) | 0.916341 | + | 17.1893i | 0.0537169 | + | 1.00765i | ||||
\(292\) | −0.547098 | − | 2.06672i | −0.0320165 | − | 0.120945i | ||||
\(293\) | 22.2344 | − | 12.8370i | 1.29895 | − | 0.749947i | 0.318724 | − | 0.947847i | \(-0.396746\pi\) |
0.980222 | + | 0.197900i | \(0.0634123\pi\) | |||||||
\(294\) | −12.0241 | − | 12.2238i | −0.701262 | − | 0.712904i | ||||
\(295\) | −13.1214 | + | 22.7269i | −0.763955 | + | 1.32321i | ||||
\(296\) | 0.715412 | − | 5.25039i | 0.0415825 | − | 0.305173i | ||||
\(297\) | 11.7564 | − | 1.89453i | 0.682177 | − | 0.109932i | ||||
\(298\) | 6.71453 | − | 5.13617i | 0.388963 | − | 0.297530i | ||||
\(299\) | 0.874631 | − | 0.504968i | 0.0505812 | − | 0.0292031i | ||||
\(300\) | −35.5045 | + | 11.4530i | −2.04985 | + | 0.661241i | ||||
\(301\) | −23.3138 | − | 21.7165i | −1.34379 | − | 1.25172i | ||||
\(302\) | −2.83722 | + | 2.17029i | −0.163264 | + | 0.124886i | ||||
\(303\) | 6.56642 | − | 4.27268i | 0.377231 | − | 0.245459i | ||||
\(304\) | 8.39078 | − | 4.77715i | 0.481244 | − | 0.273988i | ||||
\(305\) | 7.85278 | − | 4.53381i | 0.449649 | − | 0.259605i | ||||
\(306\) | −21.7514 | + | 20.6532i | −1.24344 | + | 1.18067i | ||||
\(307\) | 2.99912 | 0.171169 | 0.0855843 | − | 0.996331i | \(-0.472724\pi\) | ||||
0.0855843 | + | 0.996331i | \(0.472724\pi\) | |||||||
\(308\) | 5.71947 | − | 10.6931i | 0.325897 | − | 0.609296i | ||||
\(309\) | 21.1968 | − | 13.7925i | 1.20584 | − | 0.784626i | ||||
\(310\) | −4.25725 | − | 32.7183i | −0.241796 | − | 1.85828i | ||||
\(311\) | 13.8427 | − | 23.9763i | 0.784949 | − | 1.35957i | −0.144080 | − | 0.989566i | \(-0.546022\pi\) |
0.929029 | − | 0.370006i | \(-0.120644\pi\) | |||||||
\(312\) | −3.56283 | − | 0.293405i | −0.201705 | − | 0.0166108i | ||||
\(313\) | −11.5229 | + | 6.65275i | −0.651313 | + | 0.376036i | −0.788959 | − | 0.614446i | \(-0.789380\pi\) |
0.137646 | + | 0.990482i | \(0.456046\pi\) | |||||||
\(314\) | 1.90579 | + | 14.6466i | 0.107550 | + | 0.826557i | ||||
\(315\) | −25.2169 | − | 18.9096i | −1.42081 | − | 1.06544i | ||||
\(316\) | −7.34375 | + | 1.94402i | −0.413118 | + | 0.109360i | ||||
\(317\) | 8.98450 | + | 15.5616i | 0.504620 | + | 0.874027i | 0.999986 | + | 0.00534253i | \(0.00170059\pi\) |
−0.495366 | + | 0.868684i | \(0.664966\pi\) | |||||||
\(318\) | −1.61015 | − | 8.71727i | −0.0902929 | − | 0.488840i | ||||
\(319\) | −8.60408 | + | 14.9027i | −0.481736 | + | 0.834391i | ||||
\(320\) | 22.2595 | + | 22.6661i | 1.24434 | + | 1.26707i | ||||
\(321\) | 24.5723 | − | 1.30992i | 1.37149 | − | 0.0731127i | ||||
\(322\) | −2.14297 | − | 4.71426i | −0.119423 | − | 0.262715i | ||||
\(323\) | 17.0654 | 0.949545 | ||||||||
\(324\) | −16.0334 | + | 8.18109i | −0.890744 | + | 0.454505i | ||||
\(325\) | −3.92930 | − | 6.80575i | −0.217958 | − | 0.377515i | ||||
\(326\) | 18.0919 | − | 2.35408i | 1.00202 | − | 0.130381i | ||||
\(327\) | −8.00149 | − | 4.06791i | −0.442483 | − | 0.224956i | ||||
\(328\) | 15.0870 | − | 19.4786i | 0.833041 | − | 1.07553i | ||||
\(329\) | 2.69604 | + | 8.80097i | 0.148637 | + | 0.485213i | ||||
\(330\) | 7.45393 | − | 21.0085i | 0.410325 | − | 1.15648i | ||||
\(331\) | −4.73891 | + | 2.73601i | −0.260474 | + | 0.150385i | −0.624551 | − | 0.780984i | \(-0.714718\pi\) |
0.364077 | + | 0.931369i | \(0.381385\pi\) | |||||||
\(332\) | 18.0350 | − | 17.9266i | 0.989802 | − | 0.983848i | ||||
\(333\) | 4.54100 | − | 3.31172i | 0.248845 | − | 0.181481i | ||||
\(334\) | 16.2823 | + | 6.77313i | 0.890927 | + | 0.370609i | ||||
\(335\) | 3.36118 | − | 5.82173i | 0.183641 | − | 0.318075i | ||||
\(336\) | −3.26572 | + | 18.0370i | −0.178160 | + | 0.984002i | ||||
\(337\) | 2.12429 | + | 3.67937i | 0.115717 | + | 0.200428i | 0.918066 | − | 0.396427i | \(-0.129750\pi\) |
−0.802349 | + | 0.596855i | \(0.796417\pi\) | |||||||
\(338\) | 2.27503 | + | 17.4843i | 0.123745 | + | 0.951022i | ||||
\(339\) | −4.24237 | − | 2.15680i | −0.230414 | − | 0.117141i | ||||
\(340\) | 14.3688 | + | 54.2797i | 0.779259 | + | 2.94373i | ||||
\(341\) | 11.6602 | + | 6.73202i | 0.631435 | + | 0.364559i | ||||
\(342\) | 9.82018 | + | 2.90579i | 0.531015 | + | 0.157127i | ||||
\(343\) | −14.4122 | − | 11.6313i | −0.778187 | − | 0.628033i | ||||
\(344\) | −4.59864 | + | 33.7493i | −0.247942 | + | 1.81964i | ||||
\(345\) | −5.19175 | − | 7.97889i | −0.279515 | − | 0.429569i | ||||
\(346\) | −9.45639 | + | 22.7327i | −0.508379 | + | 1.22212i | ||||
\(347\) | 11.8809 | − | 20.5783i | 0.637801 | − | 1.10470i | −0.348113 | − | 0.937452i | \(-0.613178\pi\) |
0.985914 | − | 0.167251i | \(-0.0534891\pi\) | |||||||
\(348\) | 5.46197 | − | 25.4315i | 0.292792 | − | 1.36327i | ||||
\(349\) | 16.1703 | − | 28.0078i | 0.865576 | − | 1.49922i | −0.000898511 | − | 1.00000i | \(-0.500286\pi\) |
0.866474 | − | 0.499222i | \(-0.166381\pi\) | |||||||
\(350\) | −36.6830 | + | 16.6751i | −1.96079 | + | 0.891319i | ||||
\(351\) | −2.39415 | − | 2.94029i | −0.127790 | − | 0.156941i | ||||
\(352\) | −12.8654 | + | 1.59514i | −0.685727 | + | 0.0850214i | ||||
\(353\) | −6.05240 | −0.322137 | −0.161068 | − | 0.986943i | \(-0.551494\pi\) | ||||
−0.161068 | + | 0.986943i | \(0.551494\pi\) | |||||||
\(354\) | 10.5054 | + | 12.3154i | 0.558355 | + | 0.654557i | ||||
\(355\) | 29.4199 | 1.56145 | ||||||||
\(356\) | 5.78769 | + | 5.82272i | 0.306747 | + | 0.308603i | ||||
\(357\) | −20.7890 | + | 24.8484i | −1.10027 | + | 1.31512i | ||||
\(358\) | 2.89617 | + | 1.20476i | 0.153068 | + | 0.0636733i | ||||
\(359\) | −19.7082 | − | 11.3785i | −1.04016 | − | 0.600535i | −0.120279 | − | 0.992740i | \(-0.538379\pi\) |
−0.919878 | + | 0.392205i | \(0.871712\pi\) | |||||||
\(360\) | −0.973940 | + | 33.6815i | −0.0513311 | + | 1.77517i | ||||
\(361\) | 6.58668 | + | 11.4085i | 0.346667 | + | 0.600445i | ||||
\(362\) | 6.83957 | − | 5.23181i | 0.359480 | − | 0.274978i | ||||
\(363\) | −5.42988 | − | 8.34486i | −0.284995 | − | 0.437991i | ||||
\(364\) | −3.85929 | + | 0.125246i | −0.202282 | + | 0.00656467i | ||||
\(365\) | −2.12244 | − | 3.67617i | −0.111093 | − | 0.192420i | ||||
\(366\) | −1.01593 | − | 5.50018i | −0.0531035 | − | 0.287499i | ||||
\(367\) | 23.2510i | 1.21369i | 0.794819 | + | 0.606847i | \(0.207566\pi\) | ||||
−0.794819 | + | 0.606847i | \(0.792434\pi\) | |||||||
\(368\) | −2.79689 | + | 4.77755i | −0.145798 | + | 0.249047i | ||||
\(369\) | 25.9845 | − | 2.77830i | 1.35270 | − | 0.144633i | ||||
\(370\) | −1.35755 | − | 10.4332i | −0.0705756 | − | 0.542396i | ||||
\(371\) | −2.80451 | − | 9.15508i | −0.145603 | − | 0.475308i | ||||
\(372\) | −19.8982 | − | 4.27356i | −1.03167 | − | 0.221574i | ||||
\(373\) | 29.7144i | 1.53856i | 0.638914 | + | 0.769278i | \(0.279384\pi\) | ||||
−0.638914 | + | 0.769278i | \(0.720616\pi\) | |||||||
\(374\) | −21.1557 | − | 8.80037i | −1.09393 | − | 0.455056i | ||||
\(375\) | −33.2606 | + | 21.6422i | −1.71757 | + | 1.11760i | ||||
\(376\) | 6.02559 | − | 7.77956i | 0.310746 | − | 0.401200i | ||||
\(377\) | 5.47937 | 0.282202 | ||||||||
\(378\) | −16.1939 | + | 10.7591i | −0.832925 | + | 0.553386i | ||||
\(379\) | − | 6.00191i | − | 0.308298i | −0.988048 | − | 0.154149i | \(-0.950736\pi\) | ||
0.988048 | − | 0.154149i | \(-0.0492635\pi\) | |||||||
\(380\) | 13.5968 | − | 13.5150i | 0.697502 | − | 0.693306i | ||||
\(381\) | 10.5187 | + | 16.1655i | 0.538888 | + | 0.828185i | ||||
\(382\) | 6.43961 | − | 15.4805i | 0.329479 | − | 0.792051i | ||||
\(383\) | −30.1913 | −1.54270 | −0.771352 | − | 0.636409i | \(-0.780419\pi\) | ||||
−0.771352 | + | 0.636409i | \(0.780419\pi\) | |||||||
\(384\) | 17.7677 | − | 8.26501i | 0.906702 | − | 0.421772i | ||||
\(385\) | 5.40337 | − | 23.4636i | 0.275381 | − | 1.19582i | ||||
\(386\) | 0.516935 | + | 3.97281i | 0.0263113 | + | 0.202211i | ||||
\(387\) | −29.1894 | + | 21.2876i | −1.48378 | + | 1.08211i | ||||
\(388\) | 14.0973 | − | 14.0125i | 0.715681 | − | 0.711375i | ||||
\(389\) | −22.7017 | −1.15102 | −0.575510 | − | 0.817795i | \(-0.695196\pi\) | ||||
−0.575510 | + | 0.817795i | \(0.695196\pi\) | |||||||
\(390\) | −6.97998 | + | 1.28926i | −0.353445 | + | 0.0652842i | ||||
\(391\) | −8.47376 | + | 4.89233i | −0.428536 | + | 0.247416i | ||||
\(392\) | −1.27630 | + | 19.7578i | −0.0644631 | + | 0.997920i | ||||
\(393\) | −9.72889 | + | 6.33045i | −0.490758 | + | 0.319329i | ||||
\(394\) | 15.7570 | − | 12.0530i | 0.793824 | − | 0.607223i | ||||
\(395\) | −13.0627 | + | 7.54174i | −0.657255 | + | 0.379466i | ||||
\(396\) | −10.6754 | − | 8.66636i | −0.536460 | − | 0.435501i | ||||
\(397\) | −8.45399 | + | 14.6427i | −0.424294 | + | 0.734898i | −0.996354 | − | 0.0853131i | \(-0.972811\pi\) |
0.572060 | + | 0.820211i | \(0.306144\pi\) | |||||||
\(398\) | 3.03063 | − | 7.28549i | 0.151912 | − | 0.365189i | ||||
\(399\) | 10.8963 | + | 1.90503i | 0.545500 | + | 0.0953707i | ||||
\(400\) | 37.1754 | + | 21.7634i | 1.85877 | + | 1.08817i | ||||
\(401\) | 0.886779i | 0.0442837i | 0.999755 | + | 0.0221418i | \(0.00704854\pi\) | ||||
−0.999755 | + | 0.0221418i | \(0.992951\pi\) | |||||||
\(402\) | −2.69107 | − | 3.15473i | −0.134218 | − | 0.157344i | ||||
\(403\) | − | 4.28718i | − | 0.213560i | ||||||
\(404\) | −8.73074 | − | 2.36765i | −0.434371 | − | 0.117795i | ||||
\(405\) | −26.4735 | + | 24.0097i | −1.31548 | + | 1.19305i | ||||
\(406\) | 2.71959 | − | 27.9636i | 0.134971 | − | 1.38781i | ||||
\(407\) | 3.71819 | + | 2.14670i | 0.184304 | + | 0.106408i | ||||
\(408\) | 34.5180 | + | 2.84262i | 1.70890 | + | 0.140731i | ||||
\(409\) | 20.3540 | + | 11.7514i | 1.00644 | + | 0.581067i | 0.910147 | − | 0.414286i | \(-0.135969\pi\) |
0.0962915 | + | 0.995353i | \(0.469302\pi\) | |||||||
\(410\) | 18.7889 | − | 45.1676i | 0.927918 | − | 2.23067i | ||||
\(411\) | −24.0804 | + | 15.6688i | −1.18780 | + | 0.772884i | ||||
\(412\) | −28.1834 | − | 7.64291i | −1.38849 | − | 0.376539i | ||||
\(413\) | 12.7939 | + | 11.9173i | 0.629545 | + | 0.586411i | ||||
\(414\) | −5.70920 | + | 1.37240i | −0.280592 | + | 0.0674498i | ||||
\(415\) | 25.2448 | − | 43.7254i | 1.23922 | − | 2.14639i | ||||
\(416\) | 2.48815 | + | 3.29376i | 0.121992 | + | 0.161490i | ||||
\(417\) | −3.03113 | + | 5.96216i | −0.148435 | + | 0.291968i | ||||
\(418\) | 1.00943 | + | 7.75780i | 0.0493729 | + | 0.379447i | ||||
\(419\) | −28.8996 | + | 16.6852i | −1.41184 | + | 0.815125i | −0.995561 | − | 0.0941134i | \(-0.969998\pi\) |
−0.416276 | + | 0.909238i | \(0.636665\pi\) | |||||||
\(420\) | 3.11527 | + | 36.2618i | 0.152010 | + | 1.76940i | ||||
\(421\) | 14.7598 | + | 8.52157i | 0.719349 | + | 0.415316i | 0.814513 | − | 0.580145i | \(-0.197004\pi\) |
−0.0951643 | + | 0.995462i | \(0.530338\pi\) | |||||||
\(422\) | −1.69922 | + | 4.08483i | −0.0827166 | + | 0.198847i | ||||
\(423\) | 10.3779 | − | 1.10962i | 0.504593 | − | 0.0539518i | ||||
\(424\) | −6.26803 | + | 8.09257i | −0.304403 | + | 0.393010i | ||||
\(425\) | 38.0686 | + | 65.9367i | 1.84660 | + | 3.19840i | ||||
\(426\) | 6.06810 | − | 17.1026i | 0.294000 | − | 0.828625i | ||||
\(427\) | −1.76951 | − | 5.77641i | −0.0856327 | − | 0.279540i | ||||
\(428\) | −20.0310 | − | 20.1522i | −0.968235 | − | 0.974095i | ||||
\(429\) | 1.31268 | − | 2.58200i | 0.0633766 | − | 0.124660i | ||||
\(430\) | 8.72626 | + | 67.0641i | 0.420818 | + | 3.23412i | ||||
\(431\) | −1.82346 | + | 1.05278i | −0.0878330 | + | 0.0507104i | −0.543273 | − | 0.839556i | \(-0.682815\pi\) |
0.455440 | + | 0.890266i | \(0.349482\pi\) | |||||||
\(432\) | 19.3791 | + | 7.51327i | 0.932379 | + | 0.361482i | ||||
\(433\) | − | 7.31623i | − | 0.351596i | −0.984426 | − | 0.175798i | \(-0.943749\pi\) | ||
0.984426 | − | 0.175798i | \(-0.0562505\pi\) | |||||||
\(434\) | −21.8794 | − | 2.12787i | −1.05024 | − | 0.102141i | ||||
\(435\) | −2.74931 | − | 51.5733i | −0.131819 | − | 2.47275i | ||||
\(436\) | 2.65239 | + | 10.0197i | 0.127027 | + | 0.479855i | ||||
\(437\) | 2.89319 | + | 1.67039i | 0.138400 | + | 0.0799054i | ||||
\(438\) | −2.57483 | + | 0.475593i | −0.123030 | + | 0.0227247i | ||||
\(439\) | −4.15397 | + | 2.39829i | −0.198258 | + | 0.114464i | −0.595843 | − | 0.803101i | \(-0.703182\pi\) |
0.397585 | + | 0.917565i | \(0.369848\pi\) | |||||||
\(440\) | −23.8252 | + | 9.74264i | −1.13582 | + | 0.464462i | ||||
\(441\) | −16.0477 | + | 13.5451i | −0.764177 | + | 0.645007i | ||||
\(442\) | 0.941395 | + | 7.23492i | 0.0447776 | + | 0.344130i | ||||
\(443\) | 9.24510 | + | 16.0130i | 0.439248 | + | 0.760799i | 0.997632 | − | 0.0687833i | \(-0.0219117\pi\) |
−0.558384 | + | 0.829583i | \(0.688578\pi\) | |||||||
\(444\) | −6.34511 | − | 1.36275i | −0.301126 | − | 0.0646733i | ||||
\(445\) | 14.1170 | + | 8.15044i | 0.669209 | + | 0.386368i | ||||
\(446\) | 10.5329 | − | 1.37053i | 0.498749 | − | 0.0648963i | ||||
\(447\) | −5.64680 | − | 8.67822i | −0.267084 | − | 0.410466i | ||||
\(448\) | 18.0445 | − | 11.0633i | 0.852521 | − | 0.522693i | ||||
\(449\) | − | 26.6011i | − | 1.25538i | −0.778462 | − | 0.627692i | \(-0.784000\pi\) | ||
0.778462 | − | 0.627692i | \(-0.216000\pi\) | |||||||
\(450\) | 10.6790 | + | 44.4249i | 0.503415 | + | 2.09421i | ||||
\(451\) | 9.98142 | + | 17.2883i | 0.470007 | + | 0.814075i | ||||
\(452\) | 1.40629 | + | 5.31241i | 0.0661464 | + | 0.249875i | ||||
\(453\) | 2.38605 | + | 3.66698i | 0.112106 | + | 0.172290i | ||||
\(454\) | −13.4768 | − | 17.6183i | −0.632497 | − | 0.826866i | ||||
\(455\) | −7.33053 | + | 2.24559i | −0.343660 | + | 0.105275i | ||||
\(456\) | −5.05221 | − | 10.6918i | −0.236591 | − | 0.500689i | ||||
\(457\) | −8.03420 | − | 13.9156i | −0.375824 | − | 0.650946i | 0.614626 | − | 0.788819i | \(-0.289307\pi\) |
−0.990450 | + | 0.137872i | \(0.955974\pi\) | |||||||
\(458\) | −6.31531 | + | 4.83079i | −0.295095 | + | 0.225728i | ||||
\(459\) | 23.1955 | + | 28.4867i | 1.08267 | + | 1.32964i | ||||
\(460\) | −2.87694 | + | 10.6088i | −0.134138 | + | 0.494636i | ||||
\(461\) | −25.3072 | − | 14.6111i | −1.17867 | − | 0.680508i | −0.222967 | − | 0.974826i | \(-0.571574\pi\) |
−0.955707 | + | 0.294318i | \(0.904907\pi\) | |||||||
\(462\) | −12.5256 | − | 7.98070i | −0.582743 | − | 0.371296i | ||||
\(463\) | 0.610326 | + | 1.05712i | 0.0283643 | + | 0.0491284i | 0.879859 | − | 0.475235i | \(-0.157637\pi\) |
−0.851495 | + | 0.524363i | \(0.824303\pi\) | |||||||
\(464\) | −26.1016 | + | 14.8605i | −1.21174 | + | 0.689881i | ||||
\(465\) | −40.3521 | + | 2.15112i | −1.87128 | + | 0.0997559i | ||||
\(466\) | −32.9204 | + | 4.28355i | −1.52501 | + | 0.198432i | ||||
\(467\) | −10.2857 | − | 5.93844i | −0.475964 | − | 0.274798i | 0.242769 | − | 0.970084i | \(-0.421944\pi\) |
−0.718733 | + | 0.695286i | \(0.755278\pi\) | |||||||
\(468\) | −0.690195 | + | 4.32358i | −0.0319043 | + | 0.199858i | ||||
\(469\) | −3.27729 | − | 3.05274i | −0.151331 | − | 0.140963i | ||||
\(470\) | 7.50409 | − | 18.0395i | 0.346138 | − | 0.832098i | ||||
\(471\) | 18.0640 | − | 0.962968i | 0.832343 | − | 0.0443712i | ||||
\(472\) | 2.52358 | − | 18.5205i | 0.116157 | − | 0.852475i | ||||
\(473\) | −23.9004 | − | 13.7989i | −1.09894 | − | 0.634474i | ||||
\(474\) | 1.68994 | + | 9.14925i | 0.0776217 | + | 0.420239i | ||||
\(475\) | 12.9977 | − | 22.5128i | 0.596377 | − | 1.03296i | ||||
\(476\) | 37.3902 | − | 1.21343i | 1.71378 | − | 0.0556175i | ||||
\(477\) | −10.7955 | + | 1.15427i | −0.494292 | + | 0.0528504i | ||||
\(478\) | 12.3774 | − | 29.7547i | 0.566129 | − | 1.36095i | ||||
\(479\) | −1.58663 | −0.0724951 | −0.0362476 | − | 0.999343i | \(-0.511540\pi\) | ||||
−0.0362476 | + | 0.999343i | \(0.511540\pi\) | |||||||
\(480\) | 29.7533 | − | 25.0718i | 1.35805 | − | 1.14437i | ||||
\(481\) | − | 1.36709i | − | 0.0623340i | ||||||
\(482\) | 18.3510 | + | 23.9904i | 0.835867 | + | 1.09273i | ||||
\(483\) | −5.95667 | + | 2.17784i | −0.271038 | + | 0.0990951i | ||||
\(484\) | −3.00890 | + | 11.0954i | −0.136768 | + | 0.504334i | ||||
\(485\) | 19.7329 | − | 34.1784i | 0.896024 | − | 1.55196i | ||||
\(486\) | 8.49715 | + | 20.3420i | 0.385439 | + | 0.922733i | ||||
\(487\) | −1.55221 | − | 2.68850i | −0.0703372 | − | 0.121828i | 0.828712 | − | 0.559675i | \(-0.189074\pi\) |
−0.899049 | + | 0.437848i | \(0.855741\pi\) | |||||||
\(488\) | −3.95483 | + | 5.10602i | −0.179027 | + | 0.231139i | ||||
\(489\) | −1.18948 | − | 22.3131i | −0.0537902 | − | 1.00903i | ||||
\(490\) | 7.82187 | + | 38.5255i | 0.353356 | + | 1.74040i | ||||
\(491\) | 1.72926 | + | 2.99516i | 0.0780403 | + | 0.135170i | 0.902404 | − | 0.430890i | \(-0.141800\pi\) |
−0.824364 | + | 0.566060i | \(0.808467\pi\) | |||||||
\(492\) | −22.3818 | − | 20.2387i | −1.00905 | − | 0.912432i | ||||
\(493\) | −53.0862 | −2.39088 | ||||||||
\(494\) | 1.97856 | − | 1.51347i | 0.0890196 | − | 0.0680941i | ||||
\(495\) | −24.9612 | − | 11.0597i | −1.12192 | − | 0.497098i | ||||
\(496\) | 11.6272 | + | 20.4225i | 0.522076 | + | 0.916995i | ||||
\(497\) | 4.39878 | − | 19.1013i | 0.197312 | − | 0.856810i | ||||
\(498\) | −20.2118 | − | 23.6943i | −0.905714 | − | 1.06177i | ||||
\(499\) | 4.57563i | 0.204833i | 0.994742 | + | 0.102417i | \(0.0326575\pi\) | ||||
−0.994742 | + | 0.102417i | \(0.967342\pi\) | |||||||
\(500\) | 44.2235 | + | 11.9928i | 1.97773 | + | 0.536332i | ||||
\(501\) | 9.78808 | − | 19.2529i | 0.437299 | − | 0.860158i | ||||
\(502\) | 3.03682 | + | 3.97004i | 0.135540 | + | 0.177192i | ||||
\(503\) | −11.9056 | −0.530845 | −0.265423 | − | 0.964132i | \(-0.585511\pi\) | ||||
−0.265423 | + | 0.964132i | \(0.585511\pi\) | |||||||
\(504\) | 21.7226 | + | 5.66830i | 0.967600 | + | 0.252486i | ||||
\(505\) | −17.9613 | −0.799266 | ||||||||
\(506\) | −2.72524 | − | 3.56272i | −0.121152 | − | 0.158382i | ||||
\(507\) | 21.5637 | − | 1.14954i | 0.957679 | − | 0.0510527i | ||||
\(508\) | 5.82879 | − | 21.4937i | 0.258611 | − | 0.953631i | ||||
\(509\) | − | 25.7345i | − | 1.14066i | −0.821415 | − | 0.570331i | \(-0.806815\pi\) | ||
0.821415 | − | 0.570331i | \(-0.193185\pi\) | |||||||
\(510\) | 67.6247 | − | 12.4908i | 2.99447 | − | 0.553104i | ||||
\(511\) | −2.70415 | + | 0.828373i | −0.119624 | + | 0.0366451i | ||||
\(512\) | −20.7855 | − | 8.94213i | −0.918599 | − | 0.395190i | ||||
\(513\) | 4.46332 | − | 11.7217i | 0.197060 | − | 0.517525i | ||||
\(514\) | 4.07400 | − | 3.11634i | 0.179697 | − | 0.137456i | ||||
\(515\) | −57.9801 | −2.55491 | ||||||||
\(516\) | 40.7861 | + | 8.75970i | 1.79551 | + | 0.385624i | ||||
\(517\) | 3.98647 | + | 6.90477i | 0.175325 | + | 0.303672i | ||||
\(518\) | −6.97687 | − | 0.678532i | −0.306546 | − | 0.0298130i | ||||
\(519\) | 26.8802 | + | 13.6657i | 1.17991 | + | 0.599860i | ||||
\(520\) | 6.47977 | + | 5.01885i | 0.284157 | + | 0.220091i | ||||
\(521\) | −14.7657 | − | 25.5750i | −0.646898 | − | 1.12046i | −0.983860 | − | 0.178941i | \(-0.942733\pi\) |
0.336962 | − | 0.941518i | \(-0.390601\pi\) | |||||||
\(522\) | −30.5481 | − | 9.03917i | −1.33705 | − | 0.395634i | ||||
\(523\) | −5.45309 | + | 9.44503i | −0.238447 | + | 0.413002i | −0.960269 | − | 0.279076i | \(-0.909972\pi\) |
0.721822 | + | 0.692079i | \(0.243305\pi\) | |||||||
\(524\) | 12.9356 | + | 3.50794i | 0.565093 | + | 0.153245i | ||||
\(525\) | 16.9464 | + | 46.3505i | 0.739601 | + | 2.02290i | ||||
\(526\) | 2.97436 | + | 3.88840i | 0.129688 | + | 0.169542i | ||||
\(527\) | 41.5358i | 1.80933i | ||||||||
\(528\) | 0.749531 | + | 15.8598i | 0.0326192 | + | 0.690207i | ||||
\(529\) | 21.0845 | 0.916719 | ||||||||
\(530\) | −7.80602 | + | 18.7653i | −0.339072 | + | 0.815112i | ||||
\(531\) | 16.0182 | − | 11.6819i | 0.695129 | − | 0.506952i | ||||
\(532\) | −6.74187 | − | 10.8487i | −0.292297 | − | 0.470349i | ||||
\(533\) | 3.17825 | − | 5.50490i | 0.137665 | − | 0.238443i | ||||
\(534\) | 7.64983 | − | 6.52550i | 0.331040 | − | 0.282386i | ||||
\(535\) | −48.8584 | − | 28.2084i | −2.11233 | − | 1.21956i | ||||
\(536\) | −0.646443 | + | 4.74423i | −0.0279221 | + | 0.204919i | ||||
\(537\) | 1.74103 | − | 3.42457i | 0.0751311 | − | 0.147781i | ||||
\(538\) | −6.98640 | + | 16.7950i | −0.301205 | + | 0.724083i | ||||
\(539\) | −14.4262 | − | 7.01643i | −0.621381 | − | 0.302219i | ||||
\(540\) | 41.0410 | + | 4.32692i | 1.76612 | + | 0.186201i | ||||
\(541\) | −12.1063 | − | 6.98956i | −0.520489 | − | 0.300505i | 0.216645 | − | 0.976250i | \(-0.430488\pi\) |
−0.737135 | + | 0.675746i | \(0.763822\pi\) | |||||||
\(542\) | −24.9583 | + | 3.24754i | −1.07205 | + | 0.139494i | ||||
\(543\) | −5.75194 | − | 8.83982i | −0.246840 | − | 0.379353i | ||||
\(544\) | −24.1061 | − | 31.9112i | −1.03354 | − | 1.36818i | ||||
\(545\) | 10.2898 | + | 17.8225i | 0.440767 | + | 0.763431i | ||||
\(546\) | −0.206556 | + | 4.72462i | −0.00883976 | + | 0.202195i | ||||
\(547\) | −4.75243 | − | 2.74382i | −0.203199 | − | 0.117317i | 0.394948 | − | 0.918704i | \(-0.370763\pi\) |
−0.598147 | + | 0.801386i | \(0.704096\pi\) | |||||||
\(548\) | 32.0174 | + | 8.68265i | 1.36772 | + | 0.370904i | ||||
\(549\) | −6.81144 | + | 0.728289i | −0.290705 | + | 0.0310826i | ||||
\(550\) | −27.7225 | + | 21.2059i | −1.18209 | + | 0.904222i | ||||
\(551\) | 9.06260 | + | 15.6969i | 0.386080 | + | 0.668710i | ||||
\(552\) | 5.57379 | + | 3.86059i | 0.237236 | + | 0.164318i | ||||
\(553\) | 2.94349 | + | 9.60875i | 0.125170 | + | 0.408606i | ||||
\(554\) | 22.0055 | + | 28.7678i | 0.934923 | + | 1.22223i | ||||
\(555\) | −12.8674 | + | 0.685948i | −0.546192 | + | 0.0291169i | ||||
\(556\) | 7.46597 | − | 1.97638i | 0.316628 | − | 0.0838171i | ||||
\(557\) | −12.8261 | − | 22.2154i | −0.543458 | − | 0.941296i | −0.998702 | − | 0.0509299i | \(-0.983781\pi\) |
0.455245 | − | 0.890366i | \(-0.349552\pi\) | |||||||
\(558\) | −7.07245 | + | 23.9015i | −0.299400 | + | 1.01183i | ||||
\(559\) | 8.78761i | 0.371676i | ||||||||
\(560\) | 28.8296 | − | 30.5781i | 1.21827 | − | 1.29216i | ||||
\(561\) | −12.7177 | + | 25.0154i | −0.536942 | + | 1.05615i | ||||
\(562\) | 24.1295 | − | 3.13969i | 1.01784 | − | 0.132440i | ||||
\(563\) | 22.1839 | + | 12.8079i | 0.934940 | + | 0.539788i | 0.888371 | − | 0.459127i | \(-0.151838\pi\) |
0.0465696 | + | 0.998915i | \(0.485171\pi\) | |||||||
\(564\) | −8.93907 | − | 8.08313i | −0.376403 | − | 0.340361i | ||||
\(565\) | 5.45564 | + | 9.44944i | 0.229520 | + | 0.397541i | ||||
\(566\) | 5.12091 | + | 39.3558i | 0.215248 | + | 1.65425i | ||||
\(567\) | 11.6304 | + | 20.7782i | 0.488432 | + | 0.872602i | ||||
\(568\) | −19.3956 | + | 7.93129i | −0.813822 | + | 0.332790i | ||||
\(569\) | 32.2440 | − | 18.6161i | 1.35174 | − | 0.780428i | 0.363247 | − | 0.931693i | \(-0.381668\pi\) |
0.988493 | + | 0.151265i | \(0.0483346\pi\) | |||||||
\(570\) | −15.2379 | − | 17.8634i | −0.638246 | − | 0.748214i | ||||
\(571\) | 20.7354 | + | 11.9716i | 0.867749 | + | 0.500995i | 0.866599 | − | 0.499005i | \(-0.166301\pi\) |
0.00114912 | + | 0.999999i | \(0.499634\pi\) | |||||||
\(572\) | −3.23325 | + | 0.855902i | −0.135189 | + | 0.0357870i | ||||
\(573\) | −18.3049 | − | 9.30609i | −0.764697 | − | 0.388768i | ||||
\(574\) | −26.5164 | − | 18.9523i | −1.10678 | − | 0.791053i | ||||
\(575\) | 14.9048i | 0.621574i | ||||||||
\(576\) | −8.43809 | − | 22.4677i | −0.351587 | − | 0.936155i | ||||
\(577\) | 12.6598 | − | 7.30912i | 0.527033 | − | 0.304283i | −0.212774 | − | 0.977101i | \(-0.568250\pi\) |
0.739807 | + | 0.672819i | \(0.234917\pi\) | |||||||
\(578\) | −6.01849 | − | 46.2540i | −0.250336 | − | 1.92391i | ||||
\(579\) | 4.89974 | − | 0.261199i | 0.203626 | − | 0.0108551i | ||||
\(580\) | −42.2962 | + | 42.0418i | −1.75626 | + | 1.74569i | ||||
\(581\) | −24.6148 | − | 22.9283i | −1.02119 | − | 0.951225i | ||||
\(582\) | −15.7988 | − | 18.5209i | −0.654881 | − | 0.767714i | ||||
\(583\) | −4.14687 | − | 7.18259i | −0.171746 | − | 0.297472i | ||||
\(584\) | 2.39031 | + | 1.85140i | 0.0989119 | + | 0.0766114i | ||||
\(585\) | 0.924232 | + | 8.64403i | 0.0382123 | + | 0.357387i | ||||
\(586\) | −13.9453 | + | 33.5238i | −0.576074 | + | 1.38485i | ||||
\(587\) | 3.04268 | + | 1.75669i | 0.125585 | + | 0.0725065i | 0.561476 | − | 0.827493i | \(-0.310234\pi\) |
−0.435891 | + | 0.899999i | \(0.643567\pi\) | |||||||
\(588\) | 24.0093 | + | 3.39913i | 0.990126 | + | 0.140178i | ||||
\(589\) | 12.2816 | − | 7.09078i | 0.506054 | − | 0.292171i | ||||
\(590\) | −4.78869 | − | 36.8026i | −0.197147 | − | 1.51514i | ||||
\(591\) | −13.2513 | − | 20.3651i | −0.545086 | − | 0.837710i | ||||
\(592\) | 3.70767 | + | 6.51229i | 0.152384 | + | 0.267654i | ||||
\(593\) | 10.5178 | − | 18.2173i | 0.431914 | − | 0.748096i | −0.565125 | − | 0.825006i | \(-0.691172\pi\) |
0.997038 | + | 0.0769094i | \(0.0245052\pi\) | |||||||
\(594\) | −11.5778 | + | 12.2295i | −0.475042 | + | 0.501782i | ||||
\(595\) | 71.0209 | − | 21.7562i | 2.91157 | − | 0.891915i | ||||
\(596\) | −3.12910 | + | 11.5386i | −0.128173 | + | 0.472639i | ||||
\(597\) | −8.61470 | − | 4.37967i | −0.352576 | − | 0.179248i | ||||
\(598\) | −0.548564 | + | 1.31872i | −0.0224324 | + | 0.0539265i | ||||
\(599\) | −28.9493 | − | 16.7139i | −1.18284 | − | 0.682912i | −0.226168 | − | 0.974088i | \(-0.572620\pi\) |
−0.956669 | + | 0.291177i | \(0.905953\pi\) | |||||||
\(600\) | 30.0404 | − | 43.3712i | 1.22639 | − | 1.77062i | ||||
\(601\) | 5.05174 | + | 2.91662i | 0.206065 | + | 0.118972i | 0.599481 | − | 0.800389i | \(-0.295374\pi\) |
−0.393416 | + | 0.919360i | \(0.628707\pi\) | |||||||
\(602\) | 44.8470 | + | 4.36157i | 1.82783 | + | 0.177765i | ||||
\(603\) | −4.10323 | + | 2.99245i | −0.167096 | + | 0.121862i | ||||
\(604\) | 1.32220 | − | 4.87563i | 0.0537995 | − | 0.198387i | ||||
\(605\) | 22.8259i | 0.928003i | ||||||||
\(606\) | −3.70466 | + | 10.4414i | −0.150492 | + | 0.424153i | ||||
\(607\) | − | 19.1187i | − | 0.776004i | −0.921659 | − | 0.388002i | \(-0.873165\pi\) | ||
0.921659 | − | 0.388002i | \(-0.126835\pi\) | |||||||
\(608\) | −5.32045 | + | 12.5756i | −0.215773 | + | 0.510007i | ||||
\(609\) | −33.8958 | − | 5.92606i | −1.37353 | − | 0.240136i | ||||
\(610\) | −4.92522 | + | 11.8400i | −0.199416 | + | 0.479387i | ||||
\(611\) | 1.26936 | − | 2.19860i | 0.0513528 | − | 0.0889457i | ||||
\(612\) | 6.68687 | − | 41.8885i | 0.270301 | − | 1.69324i | ||||
\(613\) | 17.8761 | − | 10.3208i | 0.722010 | − | 0.416853i | −0.0934820 | − | 0.995621i | \(-0.529800\pi\) |
0.815492 | + | 0.578768i | \(0.196466\pi\) | |||||||
\(614\) | −3.36881 | + | 2.57692i | −0.135954 | + | 0.103996i | ||||
\(615\) | −53.4083 | − | 27.1525i | −2.15363 | − | 1.09489i | ||||
\(616\) | 2.76328 | + | 16.9255i | 0.111336 | + | 0.681949i | ||||
\(617\) | 31.8887 | − | 18.4110i | 1.28379 | − | 0.741198i | 0.306253 | − | 0.951950i | \(-0.400925\pi\) |
0.977540 | + | 0.210752i | \(0.0675913\pi\) | |||||||
\(618\) | −11.9589 | + | 33.7055i | −0.481057 | + | 1.35583i | ||||
\(619\) | −0.243563 | −0.00978961 | −0.00489480 | − | 0.999988i | \(-0.501558\pi\) | ||||
−0.00489480 | + | 0.999988i | \(0.501558\pi\) | |||||||
\(620\) | 32.8944 | + | 33.0935i | 1.32107 | + | 1.32907i | ||||
\(621\) | 1.14414 | + | 7.09990i | 0.0459128 | + | 0.284909i | ||||
\(622\) | 5.05195 | + | 38.8259i | 0.202565 | + | 1.55677i | ||||
\(623\) | 7.40252 | − | 7.94702i | 0.296576 | − | 0.318391i | ||||
\(624\) | 4.25411 | − | 2.73170i | 0.170301 | − | 0.109355i | ||||
\(625\) | 37.1319 | 1.48528 | ||||||||
\(626\) | 7.22710 | − | 17.3736i | 0.288853 | − | 0.694389i | ||||
\(627\) | 9.56784 | − | 0.510050i | 0.382103 | − | 0.0203694i | ||||
\(628\) | −14.7255 | − | 14.8146i | −0.587610 | − | 0.591167i | ||||
\(629\) | 13.2449i | 0.528109i | ||||||||
\(630\) | 44.5730 | − | 0.426452i | 1.77583 | − | 0.0169903i | ||||
\(631\) | −32.4980 | −1.29373 | −0.646863 | − | 0.762606i | \(-0.723919\pi\) | ||||
−0.646863 | + | 0.762606i | \(0.723919\pi\) | |||||||
\(632\) | 6.57864 | − | 8.49359i | 0.261684 | − | 0.337857i | ||||
\(633\) | 4.83010 | + | 2.45560i | 0.191979 | + | 0.0976011i | ||||
\(634\) | −23.4629 | − | 9.76015i | −0.931832 | − | 0.387625i | ||||
\(635\) | − | 44.2179i | − | 1.75473i | ||||||
\(636\) | 9.29874 | + | 8.40835i | 0.368719 | + | 0.333413i | ||||
\(637\) | 0.361944 | + | 5.09520i | 0.0143407 | + | 0.201879i | ||||
\(638\) | −3.14009 | − | 24.1326i | −0.124317 | − | 0.955417i | ||||
\(639\) | −20.3204 | − | 9.00351i | −0.803863 | − | 0.356173i | ||||
\(640\) | −44.4787 | − | 6.33419i | −1.75817 | − | 0.250381i | ||||
\(641\) | 17.9350i | 0.708391i | 0.935171 | + | 0.354196i | \(0.115245\pi\) | ||||
−0.935171 | + | 0.354196i | \(0.884755\pi\) | |||||||
\(642\) | −26.4758 | + | 22.5846i | −1.04492 | + | 0.891342i | ||||
\(643\) | −13.4583 | − | 23.3105i | −0.530745 | − | 0.919277i | −0.999356 | − | 0.0358726i | \(-0.988579\pi\) |
0.468612 | − | 0.883404i | \(-0.344754\pi\) | |||||||
\(644\) | 6.45774 | + | 3.45409i | 0.254471 | + | 0.136110i | ||||
\(645\) | 82.7113 | − | 4.40924i | 3.25676 | − | 0.173614i | ||||
\(646\) | −19.1690 | + | 14.6630i | −0.754196 | + | 0.576910i | ||||
\(647\) | 9.67192 | + | 16.7523i | 0.380242 | + | 0.658599i | 0.991097 | − | 0.133144i | \(-0.0425072\pi\) |
−0.610854 | + | 0.791743i | \(0.709174\pi\) | |||||||
\(648\) | 10.9804 | − | 22.9659i | 0.431351 | − | 0.902184i | ||||
\(649\) | 13.1157 | + | 7.57238i | 0.514838 | + | 0.297242i | ||||
\(650\) | 10.2613 | + | 4.26853i | 0.402483 | + | 0.167425i | ||||
\(651\) | −4.63668 | + | 26.5208i | −0.181726 | + | 1.03943i | ||||
\(652\) | −18.2994 | + | 18.1893i | −0.716658 | + | 0.712347i | ||||
\(653\) | −4.50823 | −0.176421 | −0.0882104 | − | 0.996102i | \(-0.528115\pi\) | ||||
−0.0882104 | + | 0.996102i | \(0.528115\pi\) | |||||||
\(654\) | 12.4831 | − | 2.30573i | 0.488127 | − | 0.0901611i | ||||
\(655\) | 26.6116 | 1.03980 | ||||||||
\(656\) | −0.210230 | + | 34.8429i | −0.00820810 | + | 1.36039i | ||||
\(657\) | 0.340938 | + | 3.18868i | 0.0133013 | + | 0.124402i | ||||
\(658\) | −10.5904 | − | 7.56934i | −0.412856 | − | 0.295084i | ||||
\(659\) | −19.6047 | + | 33.9563i | −0.763689 | + | 1.32275i | 0.177248 | + | 0.984166i | \(0.443281\pi\) |
−0.940937 | + | 0.338582i | \(0.890053\pi\) | |||||||
\(660\) | 9.67828 | + | 30.0028i | 0.376727 | + | 1.16786i | ||||
\(661\) | 4.80431 | − | 8.32131i | 0.186866 | − | 0.323661i | −0.757338 | − | 0.653023i | \(-0.773500\pi\) |
0.944204 | + | 0.329362i | \(0.106834\pi\) | |||||||
\(662\) | 2.97222 | − | 7.14506i | 0.115518 | − | 0.277701i | ||||
\(663\) | 8.92296 | − | 0.475672i | 0.346539 | − | 0.0184736i | ||||
\(664\) | −4.85525 | + | 35.6325i | −0.188420 | + | 1.38281i | ||||
\(665\) | −18.5573 | − | 17.2859i | −0.719623 | − | 0.670317i | ||||
\(666\) | −2.25526 | + | 7.62169i | −0.0873894 | + | 0.295335i | ||||
\(667\) | −8.99999 | − | 5.19615i | −0.348481 | − | 0.201196i | ||||
\(668\) | −24.1090 | + | 6.38210i | −0.932806 | + | 0.246931i | ||||
\(669\) | −0.692505 | − | 12.9905i | −0.0267738 | − | 0.502240i | ||||
\(670\) | 1.22667 | + | 9.42738i | 0.0473906 | + | 0.364211i | ||||
\(671\) | −2.61647 | − | 4.53187i | −0.101008 | − | 0.174951i | ||||
\(672\) | −11.8296 | − | 23.0664i | −0.456337 | − | 0.889807i | ||||
\(673\) | 19.7167 | − | 34.1503i | 0.760023 | − | 1.31640i | −0.182816 | − | 0.983147i | \(-0.558521\pi\) |
0.942838 | − | 0.333251i | \(-0.108146\pi\) | |||||||
\(674\) | −5.54756 | − | 2.30768i | −0.213684 | − | 0.0888886i | ||||
\(675\) | 55.2464 | − | 8.90288i | 2.12643 | − | 0.342672i | ||||
\(676\) | −17.5784 | − | 17.6848i | −0.676094 | − | 0.680186i | ||||
\(677\) | −2.72325 | + | 1.57227i | −0.104663 | + | 0.0604272i | −0.551418 | − | 0.834229i | \(-0.685913\pi\) |
0.446755 | + | 0.894656i | \(0.352580\pi\) | |||||||
\(678\) | 6.61850 | − | 1.22249i | 0.254182 | − | 0.0469495i | ||||
\(679\) | −19.2404 | − | 17.9221i | −0.738378 | − | 0.687787i | ||||
\(680\) | −62.7785 | − | 48.6246i | −2.40745 | − | 1.86467i | ||||
\(681\) | −22.7708 | + | 14.8166i | −0.872578 | + | 0.567774i | ||||
\(682\) | −18.8819 | + | 2.45687i | −0.723023 | + | 0.0940786i | ||||
\(683\) | 6.94387 | + | 12.0271i | 0.265700 | + | 0.460205i | 0.967747 | − | 0.251925i | \(-0.0810637\pi\) |
−0.702047 | + | 0.712131i | \(0.747730\pi\) | |||||||
\(684\) | −13.5274 | + | 5.17377i | −0.517234 | + | 0.197824i | ||||
\(685\) | 65.8677 | 2.51668 | ||||||||
\(686\) | 26.1827 | + | 0.681756i | 0.999661 | + | 0.0260296i | ||||
\(687\) | 5.31105 | + | 8.16224i | 0.202629 | + | 0.311409i | ||||
\(688\) | −23.8327 | − | 41.8607i | −0.908614 | − | 1.59593i | ||||
\(689\) | −1.32043 | + | 2.28706i | −0.0503045 | + | 0.0871300i | ||||
\(690\) | 12.6874 | + | 4.50155i | 0.483001 | + | 0.171371i | ||||
\(691\) | −7.04505 | − | 12.2024i | −0.268006 | − | 0.464201i | 0.700341 | − | 0.713809i | \(-0.253031\pi\) |
−0.968347 | + | 0.249608i | \(0.919698\pi\) | |||||||
\(692\) | −8.91045 | − | 33.6601i | −0.338724 | − | 1.27957i | ||||
\(693\) | −10.9128 | + | 14.5528i | −0.414543 | + | 0.552815i | ||||
\(694\) | 4.33598 | + | 33.3234i | 0.164592 | + | 1.26494i | ||||
\(695\) | 13.2801 | − | 7.66726i | 0.503742 | − | 0.290836i | ||||
\(696\) | 15.7162 | + | 33.2595i | 0.595719 | + | 1.26070i | ||||
\(697\) | −30.7921 | + | 53.3335i | −1.16633 | + | 2.02015i | ||||
\(698\) | 5.90140 | + | 45.3542i | 0.223371 | + | 1.71668i | ||||
\(699\) | 2.16441 | + | 40.6013i | 0.0818655 | + | 1.53568i | ||||
\(700\) | 26.8772 | − | 50.2495i | 1.01586 | − | 1.89925i | ||||
\(701\) | −13.5350 | −0.511211 | −0.255606 | − | 0.966781i | \(-0.582275\pi\) | ||||
−0.255606 | + | 0.966781i | \(0.582275\pi\) | |||||||
\(702\) | 5.21565 | + | 1.24562i | 0.196852 | + | 0.0470129i | ||||
\(703\) | 3.91634 | − | 2.26110i | 0.147708 | − | 0.0852791i | ||||
\(704\) | 13.0807 | − | 12.8460i | 0.492997 | − | 0.484153i | ||||
\(705\) | −21.3307 | − | 10.8444i | −0.803361 | − | 0.408424i | ||||
\(706\) | 6.79847 | − | 5.20037i | 0.255864 | − | 0.195719i | ||||
\(707\) | −2.68552 | + | 11.6616i | −0.100999 | + | 0.438580i | ||||
\(708\) | −22.3821 | − | 4.80704i | −0.841170 | − | 0.180659i | ||||
\(709\) | 39.2743 | − | 22.6750i | 1.47498 | − | 0.851578i | 0.475374 | − | 0.879784i | \(-0.342313\pi\) |
0.999602 | + | 0.0282058i | \(0.00897939\pi\) | |||||||
\(710\) | −33.0464 | + | 25.2783i | −1.24021 | + | 0.948678i | ||||
\(711\) | 11.3305 | − | 1.21147i | 0.424926 | − | 0.0454337i | ||||
\(712\) | −11.5042 | − | 1.56754i | −0.431136 | − | 0.0587462i | ||||
\(713\) | −4.06558 | + | 7.04179i | −0.152257 | + | 0.263717i | ||||
\(714\) | 2.00119 | − | 45.7739i | 0.0748926 | − | 1.71304i | ||||
\(715\) | −5.75114 | + | 3.32042i | −0.215081 | + | 0.124177i | ||||
\(716\) | −4.28834 | + | 1.13520i | −0.160263 | + | 0.0424245i | ||||
\(717\) | −35.1833 | − | 17.8870i | −1.31394 | − | 0.668002i | ||||
\(718\) | 31.9143 | − | 4.15263i | 1.19103 | − | 0.154975i | ||||
\(719\) | 14.2665 | − | 24.7102i | 0.532049 | − | 0.921536i | −0.467251 | − | 0.884125i | \(-0.654755\pi\) |
0.999300 | − | 0.0374114i | \(-0.0119112\pi\) | |||||||
\(720\) | −27.8460 | − | 38.6702i | −1.03776 | − | 1.44115i | ||||
\(721\) | −8.66901 | + | 37.6444i | −0.322851 | + | 1.40195i | ||||
\(722\) | −17.2010 | − | 7.15532i | −0.640157 | − | 0.266294i | ||||
\(723\) | 31.0065 | − | 20.1755i | 1.15314 | − | 0.750333i | ||||
\(724\) | −3.18736 | + | 11.7535i | −0.118457 | + | 0.436814i | ||||
\(725\) | −40.4327 | + | 70.0315i | −1.50163 | + | 2.60090i | ||||
\(726\) | 13.2693 | + | 4.70802i | 0.492471 | + | 0.174731i | ||||
\(727\) | 10.4643 | + | 6.04157i | 0.388099 | + | 0.224069i | 0.681336 | − | 0.731970i | \(-0.261399\pi\) |
−0.293237 | + | 0.956040i | \(0.594732\pi\) | |||||||
\(728\) | 4.22740 | − | 3.45668i | 0.156678 | − | 0.128113i | ||||
\(729\) | 25.6332 | − | 8.48177i | 0.949377 | − | 0.314140i | ||||
\(730\) | 5.54273 | + | 2.30567i | 0.205145 | + | 0.0853368i | ||||
\(731\) | − | 85.1377i | − | 3.14893i | ||||||
\(732\) | 5.86705 | + | 5.30527i | 0.216853 | + | 0.196088i | ||||
\(733\) | −37.8424 | −1.39774 | −0.698871 | − | 0.715247i | \(-0.746314\pi\) | ||||
−0.698871 | + | 0.715247i | \(0.746314\pi\) | |||||||
\(734\) | −19.9779 | − | 26.1171i | −0.737397 | − | 0.964001i | ||||
\(735\) | 47.7758 | − | 5.96327i | 1.76224 | − | 0.219958i | ||||
\(736\) | −0.963334 | − | 7.76962i | −0.0355090 | − | 0.286392i | ||||
\(737\) | −3.35974 | − | 1.93975i | −0.123758 | − | 0.0714515i | ||||
\(738\) | −26.8004 | + | 25.4473i | −0.986536 | + | 0.936729i | ||||
\(739\) | −24.8702 | + | 14.3588i | −0.914866 | + | 0.528198i | −0.881993 | − | 0.471262i | \(-0.843799\pi\) |
−0.0328721 | + | 0.999460i | \(0.510465\pi\) | |||||||
\(740\) | 10.4893 | + | 10.5528i | 0.385596 | + | 0.387930i | ||||
\(741\) | −1.66393 | − | 2.55720i | −0.0611261 | − | 0.0939410i | ||||
\(742\) | 11.0165 | + | 7.87390i | 0.404428 | + | 0.289060i | ||||
\(743\) | 21.1666 | − | 12.2205i | 0.776527 | − | 0.448328i | −0.0586709 | − | 0.998277i | \(-0.518686\pi\) |
0.835198 | + | 0.549949i | \(0.185353\pi\) | |||||||
\(744\) | 26.0230 | − | 12.2967i | 0.954048 | − | 0.450818i | ||||
\(745\) | 23.7377i | 0.869683i | ||||||||
\(746\) | −25.5314 | − | 33.3773i | −0.934771 | − | 1.22203i | ||||
\(747\) | −30.8182 | + | 22.4754i | −1.12758 | + | 0.822333i | ||||
\(748\) | 31.3250 | − | 8.29230i | 1.14535 | − | 0.303196i | ||||
\(749\) | −25.6199 | + | 27.5044i | −0.936130 | + | 1.00499i | ||||
\(750\) | 18.7651 | − | 52.8884i | 0.685204 | − | 1.93121i | ||||
\(751\) | −25.9021 | −0.945183 | −0.472591 | − | 0.881282i | \(-0.656681\pi\) | ||||
−0.472591 | + | 0.881282i | \(0.656681\pi\) | |||||||
\(752\) | −0.0839636 | + | 13.9159i | −0.00306184 | + | 0.507460i | ||||
\(753\) | 5.13109 | − | 3.33873i | 0.186987 | − | 0.121670i | ||||
\(754\) | −6.15480 | + | 4.70801i | −0.224145 | + | 0.171456i | ||||
\(755\) | − | 10.0304i | − | 0.365042i | ||||||
\(756\) | 8.94565 | − | 25.9995i | 0.325350 | − | 0.945594i | ||||
\(757\) | 10.2462i | 0.372404i | 0.982511 | + | 0.186202i | \(0.0596179\pi\) | ||||
−0.982511 | + | 0.186202i | \(0.940382\pi\) | |||||||
\(758\) | 5.15700 | + | 6.74176i | 0.187310 | + | 0.244872i | ||||
\(759\) | −4.60465 | + | 2.99618i | −0.167138 | + | 0.108754i | ||||
\(760\) | −3.66042 | + | 26.8637i | −0.132777 | + | 0.974449i | ||||
\(761\) | −48.7071 | −1.76563 | −0.882816 | − | 0.469719i | \(-0.844355\pi\) | ||||
−0.882816 | + | 0.469719i | \(0.844355\pi\) | |||||||
\(762\) | −25.7051 | − | 9.12031i | −0.931199 | − | 0.330394i | ||||
\(763\) | 13.1100 | − | 4.01604i | 0.474614 | − | 0.145391i | ||||
\(764\) | 6.06783 | + | 22.9218i | 0.219526 | + | 0.829283i | ||||
\(765\) | −8.95431 | − | 83.7466i | −0.323744 | − | 3.02787i | ||||
\(766\) | 33.9129 | − | 25.9411i | 1.22532 | − | 0.937291i | ||||
\(767\) | − | 4.82235i | − | 0.174125i | ||||||
\(768\) | −12.8563 | + | 24.5502i | −0.463913 | + | 0.885881i | ||||
\(769\) | 33.6265 | − | 19.4142i | 1.21260 | − | 0.700096i | 0.249276 | − | 0.968432i | \(-0.419807\pi\) |
0.963325 | + | 0.268337i | \(0.0864740\pi\) | |||||||
\(770\) | 14.0911 | + | 30.9987i | 0.507809 | + | 1.11711i | ||||
\(771\) | −3.42616 | − | 5.26546i | −0.123390 | − | 0.189631i | ||||
\(772\) | −3.99419 | − | 4.01837i | −0.143754 | − | 0.144624i | ||||
\(773\) | 31.7959 | − | 18.3574i | 1.14362 | − | 0.660270i | 0.196296 | − | 0.980545i | \(-0.437109\pi\) |
0.947325 | + | 0.320275i | \(0.103775\pi\) | |||||||
\(774\) | 14.4967 | − | 48.9919i | 0.521072 | − | 1.76098i | ||||
\(775\) | 54.7942 | + | 31.6354i | 1.96826 | + | 1.13638i | ||||
\(776\) | −3.79515 | + | 27.8525i | −0.136238 | + | 0.999847i | ||||
\(777\) | −1.47854 | + | 8.45693i | −0.0530423 | + | 0.303391i | ||||
\(778\) | 25.5001 | − | 19.5059i | 0.914222 | − | 0.699319i | ||||
\(779\) | 21.0267 | 0.753359 | ||||||||
\(780\) | 6.73262 | − | 7.44556i | 0.241067 | − | 0.266594i | ||||
\(781\) | − | 16.9783i | − | 0.607532i | ||||||
\(782\) | 5.31469 | − | 12.7763i | 0.190053 | − | 0.456878i | ||||
\(783\) | −13.8843 | + | 36.4632i | −0.496183 | + | 1.30309i | ||||
\(784\) | −15.5428 | − | 23.2900i | −0.555099 | − | 0.831784i | ||||
\(785\) | −35.9175 | − | 20.7370i | −1.28195 | − | 0.740134i | ||||
\(786\) | 5.48887 | − | 15.4701i | 0.195782 | − | 0.551800i | ||||
\(787\) | −22.8555 | + | 39.5869i | −0.814711 | + | 1.41112i | 0.0948248 | + | 0.995494i | \(0.469771\pi\) |
−0.909535 | + | 0.415626i | \(0.863562\pi\) | |||||||
\(788\) | −7.34304 | + | 27.0776i | −0.261585 | + | 0.964598i | ||||
\(789\) | 5.02557 | − | 3.27007i | 0.178915 | − | 0.116417i | ||||
\(790\) | 8.19284 | − | 19.6952i | 0.291488 | − | 0.700723i | ||||
\(791\) | 6.95089 | − | 2.12930i | 0.247145 | − | 0.0757091i | ||||
\(792\) | 19.4377 | + | 0.562064i | 0.690689 | + | 0.0199721i | ||||
\(793\) | −0.833130 | + | 1.44302i | −0.0295853 | + | 0.0512433i | ||||
\(794\) | −3.08531 | − | 23.7116i | −0.109494 | − | 0.841494i | ||||
\(795\) | 22.1889 | + | 11.2807i | 0.786961 | + | 0.400086i | ||||
\(796\) | 2.85566 | + | 10.7876i | 0.101216 | + | 0.382355i | ||||
\(797\) | −40.7020 | + | 23.4993i | −1.44174 | + | 0.832388i | −0.997966 | − | 0.0637514i | \(-0.979694\pi\) |
−0.443773 | + | 0.896139i | \(0.646360\pi\) | |||||||
\(798\) | −13.8764 | + | 7.22256i | −0.491218 | + | 0.255676i | ||||
\(799\) | −12.2980 | + | 21.3008i | −0.435074 | + | 0.753570i | ||||
\(800\) | −60.4576 | + | 7.49598i | −2.13750 | + | 0.265023i | ||||
\(801\) | −7.25632 | − | 9.94982i | −0.256389 | − | 0.351560i | ||||
\(802\) | −0.761943 | − | 0.996091i | −0.0269052 | − | 0.0351732i | ||||
\(803\) | −2.12153 | + | 1.22487i | −0.0748672 | + | 0.0432246i | ||||
\(804\) | 5.73342 | + | 1.23137i | 0.202202 | + | 0.0434272i | ||||
\(805\) | 14.1701 | + | 3.26319i | 0.499430 | + | 0.115012i | ||||
\(806\) | 3.68365 | + | 4.81565i | 0.129751 | + | 0.169624i | ||||
\(807\) | 19.8592 | + | 10.0963i | 0.699076 | + | 0.355406i | ||||
\(808\) | 11.8413 | − | 4.84217i | 0.416576 | − | 0.170347i | ||||
\(809\) | −6.52111 | + | 3.76496i | −0.229270 | + | 0.132369i | −0.610235 | − | 0.792220i | \(-0.708925\pi\) |
0.380965 | + | 0.924589i | \(0.375592\pi\) | |||||||
\(810\) | 9.10713 | − | 49.7161i | 0.319992 | − | 1.74685i | ||||
\(811\) | 18.9342 | 0.664869 | 0.332435 | − | 0.943126i | \(-0.392130\pi\) | ||||
0.332435 | + | 0.943126i | \(0.392130\pi\) | |||||||
\(812\) | 20.9722 | + | 33.7474i | 0.735981 | + | 1.18430i | ||||
\(813\) | 1.64093 | + | 30.7816i | 0.0575499 | + | 1.07956i | ||||
\(814\) | −6.02103 | + | 0.783446i | −0.211037 | + | 0.0274598i | ||||
\(815\) | −25.6148 | + | 44.3662i | −0.897248 | + | 1.55408i | ||||
\(816\) | −41.2154 | + | 26.4657i | −1.44283 | + | 0.926485i | ||||
\(817\) | −25.1741 | + | 14.5343i | −0.880730 | + | 0.508490i | ||||
\(818\) | −32.9600 | + | 4.28870i | −1.15242 | + | 0.149951i | ||||
\(819\) | 5.75045 | + | 0.692359i | 0.200937 | + | 0.0241930i | ||||
\(820\) | 17.7042 | + | 66.8792i | 0.618256 | + | 2.33552i | ||||
\(821\) | 24.8209 | + | 42.9911i | 0.866257 | + | 1.50040i | 0.865794 | + | 0.500401i | \(0.166814\pi\) |
0.000462541 | 1.00000i | \(0.499853\pi\) | ||||||||
\(822\) | 13.5858 | − | 38.2908i | 0.473858 | − | 1.33554i | ||||
\(823\) | −0.163058 | + | 0.282425i | −0.00568384 | + | 0.00984471i | −0.868853 | − | 0.495070i | \(-0.835143\pi\) |
0.863169 | + | 0.504914i | \(0.168476\pi\) | |||||||
\(824\) | 38.2245 | − | 15.6308i | 1.33161 | − | 0.544525i | ||||
\(825\) | 23.3141 | + | 35.8301i | 0.811693 | + | 1.24744i | ||||
\(826\) | −24.6106 | − | 2.39349i | −0.856312 | − | 0.0832801i | ||||
\(827\) | −20.1060 | −0.699154 | −0.349577 | − | 0.936908i | \(-0.613675\pi\) | ||||
−0.349577 | + | 0.936908i | \(0.613675\pi\) | |||||||
\(828\) | 5.23376 | − | 6.44706i | 0.181886 | − | 0.224051i | ||||
\(829\) | 8.72452 | + | 15.1113i | 0.303015 | + | 0.524837i | 0.976817 | − | 0.214074i | \(-0.0686734\pi\) |
−0.673802 | + | 0.738912i | \(0.735340\pi\) | |||||||
\(830\) | 9.21320 | + | 70.8063i | 0.319795 | + | 2.45772i | ||||
\(831\) | 37.1811 | − | 24.1932i | 1.28980 | − | 0.839252i | ||||
\(832\) | −5.62494 | − | 1.56190i | −0.195010 | − | 0.0541490i | ||||
\(833\) | −3.50665 | − | 49.3643i | −0.121498 | − | 1.71037i | ||||
\(834\) | −1.71807 | − | 9.30152i | −0.0594918 | − | 0.322085i | ||||
\(835\) | −42.8839 | + | 24.7590i | −1.48406 | + | 0.856821i | ||||
\(836\) | −7.79956 | − | 7.84677i | −0.269754 | − | 0.271386i | ||||
\(837\) | 28.5296 | + | 10.8634i | 0.986128 | + | 0.375492i | ||||
\(838\) | 18.1257 | − | 43.5732i | 0.626141 | − | 1.50521i | ||||
\(839\) | −7.57991 | + | 13.1288i | −0.261688 | + | 0.453256i | −0.966690 | − | 0.255948i | \(-0.917612\pi\) |
0.705003 | + | 0.709204i | \(0.250946\pi\) | |||||||
\(840\) | −34.6564 | − | 38.0550i | −1.19576 | − | 1.31302i | ||||
\(841\) | −13.6915 | − | 23.7143i | −0.472120 | − | 0.817735i | ||||
\(842\) | −23.9012 | + | 3.10998i | −0.823689 | + | 0.107177i | ||||
\(843\) | −1.58644 | − | 29.7594i | −0.0546398 | − | 1.02497i | ||||
\(844\) | −1.60112 | − | 6.04838i | −0.0551127 | − | 0.208194i | ||||
\(845\) | −42.8763 | − | 24.7546i | −1.47499 | − | 0.851585i | ||||
\(846\) | −10.7038 | + | 10.1634i | −0.368004 | + | 0.349425i | ||||
\(847\) | 14.8200 | + | 3.41286i | 0.509222 | + | 0.117267i | ||||
\(848\) | 0.0873419 | − | 14.4758i | 0.00299933 | − | 0.497100i | ||||
\(849\) | 48.5383 | − | 2.58752i | 1.66583 | − | 0.0888033i | ||||
\(850\) | −99.4157 | − | 41.3551i | −3.40993 | − | 1.41847i | ||||
\(851\) | −1.29643 | + | 2.24548i | −0.0444410 | + | 0.0769741i | ||||
\(852\) | 7.87890 | + | 24.4247i | 0.269927 | + | 0.836776i | ||||
\(853\) | −7.82600 | + | 13.5550i | −0.267957 | + | 0.464116i | −0.968334 | − | 0.249658i | \(-0.919682\pi\) |
0.700377 | + | 0.713773i | \(0.253015\pi\) | |||||||
\(854\) | 6.95088 | + | 4.96805i | 0.237854 | + | 0.170003i | ||||
\(855\) | −23.2341 | + | 16.9445i | −0.794591 | + | 0.579489i | ||||
\(856\) | 39.8155 | + | 5.42522i | 1.36087 | + | 0.185430i | ||||
\(857\) | −19.7927 | −0.676107 | −0.338054 | − | 0.941127i | \(-0.609769\pi\) | ||||
−0.338054 | + | 0.941127i | \(0.609769\pi\) | |||||||
\(858\) | 0.744036 | + | 4.02817i | 0.0254010 | + | 0.137519i | ||||
\(859\) | 16.2819 | 0.555531 | 0.277765 | − | 0.960649i | \(-0.410406\pi\) | ||||
0.277765 | + | 0.960649i | \(0.410406\pi\) | |||||||
\(860\) | −67.4251 | − | 67.8331i | −2.29918 | − | 2.31309i | ||||
\(861\) | −25.6146 | + | 30.6163i | −0.872942 | + | 1.04340i | ||||
\(862\) | 1.14366 | − | 2.74931i | 0.0389534 | − | 0.0936419i | ||||
\(863\) | −17.2522 | − | 9.96055i | −0.587271 | − | 0.339061i | 0.176747 | − | 0.984256i | \(-0.443443\pi\) |
−0.764018 | + | 0.645195i | \(0.776776\pi\) | |||||||
\(864\) | −28.2236 | + | 8.21163i | −0.960185 | + | 0.279365i | ||||
\(865\) | −34.5676 | − | 59.8729i | −1.17533 | − | 2.03574i | ||||
\(866\) | 6.28629 | + | 8.21810i | 0.213617 | + | 0.279262i | ||||
\(867\) | −57.0459 | + | 3.04105i | −1.93738 | + | 0.103279i | ||||
\(868\) | 26.4047 | − | 16.4091i | 0.896234 | − | 0.556963i | ||||
\(869\) | 4.35236 | + | 7.53852i | 0.147644 | + | 0.255727i | ||||
\(870\) | 47.4013 | + | 55.5684i | 1.60705 | + | 1.88394i | ||||
\(871\) | 1.23530i | 0.0418565i | ||||||||
\(872\) | −11.5885 | − | 8.97578i | −0.392436 | − | 0.303958i | ||||
\(873\) | −24.0893 | + | 17.5681i | −0.815300 | + | 0.594592i | ||||
\(874\) | −4.68507 | + | 0.609613i | −0.158475 | + | 0.0206205i | ||||
\(875\) | 13.6028 | − | 59.0691i | 0.459860 | − | 1.99690i | ||||
\(876\) | 2.48359 | − | 2.74658i | 0.0839126 | − | 0.0927983i | ||||
\(877\) | 23.4804i | 0.792876i | 0.918062 | + | 0.396438i | \(0.129754\pi\) | ||||
−0.918062 | + | 0.396438i | \(0.870246\pi\) | |||||||
\(878\) | 2.60535 | − | 6.26312i | 0.0879261 | − | 0.211370i | ||||
\(879\) | 39.6401 | + | 20.1528i | 1.33703 | + | 0.679737i | ||||
\(880\) | 18.3910 | − | 31.4148i | 0.619959 | − | 1.05899i | ||||
\(881\) | 34.2467 | 1.15380 | 0.576901 | − | 0.816814i | \(-0.304262\pi\) | ||||
0.576901 | + | 0.816814i | \(0.304262\pi\) | |||||||
\(882\) | 6.38755 | − | 29.0034i | 0.215080 | − | 0.976596i | ||||
\(883\) | − | 53.3983i | − | 1.79699i | −0.438979 | − | 0.898497i | \(-0.644660\pi\) | ||
0.438979 | − | 0.898497i | \(-0.355340\pi\) | |||||||
\(884\) | −7.27387 | − | 7.31789i | −0.244647 | − | 0.246127i | ||||
\(885\) | −45.3893 | + | 2.41965i | −1.52574 | + | 0.0813356i | ||||
\(886\) | −24.1435 | − | 10.0432i | −0.811116 | − | 0.337410i | ||||
\(887\) | 20.2679 | 0.680529 | 0.340264 | − | 0.940330i | \(-0.389483\pi\) | ||||
0.340264 | + | 0.940330i | \(0.389483\pi\) | |||||||
\(888\) | 8.29818 | − | 3.92115i | 0.278469 | − | 0.131585i | ||||
\(889\) | −28.7091 | − | 6.61133i | −0.962873 | − | 0.221737i | ||||
\(890\) | −22.8602 | + | 2.97453i | −0.766276 | + | 0.0997065i | ||||
\(891\) | 13.8561 | + | 15.2780i | 0.464197 | + | 0.511831i | ||||
\(892\) | −10.6537 | + | 10.5896i | −0.356713 | + | 0.354567i | ||||
\(893\) | 8.39784 | 0.281023 | ||||||||
\(894\) | 13.7994 | + | 4.89610i | 0.461521 | + | 0.163750i | ||||
\(895\) | −7.62787 | + | 4.40395i | −0.254972 | + | 0.147208i | ||||
\(896\) | −10.7629 | + | 27.9313i | −0.359563 | + | 0.933121i | ||||
\(897\) | 1.55932 | + | 0.792748i | 0.0520641 | + | 0.0264691i | ||||
\(898\) | 22.8564 | + | 29.8802i | 0.762726 | + | 0.997115i | ||||
\(899\) | −38.2049 | + | 22.0576i | −1.27421 | + | 0.735663i | ||||
\(900\) | −50.1664 | − | 40.7254i | −1.67221 | − | 1.35751i | ||||
\(901\) | 12.7929 | − | 22.1579i | 0.426192 | − | 0.738186i | ||||
\(902\) | −26.0664 | − | 10.8431i | −0.867915 | − | 0.361037i | ||||
\(903\) | 9.50399 | − | 54.3608i | 0.316273 | − | 1.80901i | ||||
\(904\) | −6.14420 | − | 4.75894i | −0.204353 | − | 0.158280i | ||||
\(905\) | 24.1797i | 0.803762i | ||||||||
\(906\) | −5.83094 | − | 2.06885i | −0.193720 | − | 0.0687328i | ||||
\(907\) | − | 19.8218i | − | 0.658171i | −0.944300 | − | 0.329085i | \(-0.893260\pi\) | ||
0.944300 | − | 0.329085i | \(-0.106740\pi\) | |||||||
\(908\) | 30.2761 | + | 8.21043i | 1.00475 | + | 0.272473i | ||||
\(909\) | 12.4059 | + | 5.49677i | 0.411478 | + | 0.182316i | ||||
\(910\) | 6.30468 | − | 8.82098i | 0.208998 | − | 0.292413i | ||||
\(911\) | 19.7999 | + | 11.4315i | 0.656001 | + | 0.378743i | 0.790752 | − | 0.612137i | \(-0.209690\pi\) |
−0.134750 | + | 0.990880i | \(0.543023\pi\) | |||||||
\(912\) | 14.8617 | + | 7.66877i | 0.492119 | + | 0.253938i | ||||
\(913\) | −25.2341 | − | 14.5689i | −0.835125 | − | 0.482160i | ||||
\(914\) | 20.9812 | + | 8.72781i | 0.693997 | + | 0.288690i | ||||
\(915\) | 14.0002 | + | 7.11760i | 0.462831 | + | 0.235301i | ||||
\(916\) | 2.94305 | − | 10.8525i | 0.0972411 | − | 0.358578i | ||||
\(917\) | 3.97890 | − | 17.2780i | 0.131395 | − | 0.570570i | ||||
\(918\) | −50.5312 | − | 12.0680i | −1.66778 | − | 0.398305i | ||||
\(919\) | 9.63211 | − | 16.6833i | 0.317734 | − | 0.550331i | −0.662281 | − | 0.749256i | \(-0.730411\pi\) |
0.980015 | + | 0.198924i | \(0.0637448\pi\) | |||||||
\(920\) | −5.88374 | − | 14.3884i | −0.193981 | − | 0.474373i | ||||
\(921\) | 2.83311 | + | 4.35403i | 0.0933540 | + | 0.143470i | ||||
\(922\) | 40.9810 | − | 5.33238i | 1.34964 | − | 0.175613i | ||||
\(923\) | −4.68189 | + | 2.70309i | −0.154106 | + | 0.0889734i | ||||
\(924\) | 20.9268 | − | 1.79783i | 0.688442 | − | 0.0591444i | ||||
\(925\) | 17.4727 | + | 10.0879i | 0.574499 | + | 0.331687i | ||||
\(926\) | −1.59386 | − | 0.663017i | −0.0523775 | − | 0.0217881i | ||||
\(927\) | 40.0470 | + | 17.7439i | 1.31532 | + | 0.582787i | ||||
\(928\) | 16.5506 | − | 39.1195i | 0.543299 | − | 1.28416i | ||||
\(929\) | −13.8247 | − | 23.9451i | −0.453574 | − | 0.785613i | 0.545031 | − | 0.838416i | \(-0.316518\pi\) |
−0.998605 | + | 0.0528026i | \(0.983185\pi\) | |||||||
\(930\) | 43.4779 | − | 37.0878i | 1.42570 | − | 1.21616i | ||||
\(931\) | −13.9977 | + | 9.46409i | −0.458757 | + | 0.310173i | ||||
\(932\) | 33.2979 | − | 33.0976i | 1.09071 | − | 1.08415i | ||||
\(933\) | 47.8846 | − | 2.55267i | 1.56767 | − | 0.0835707i | ||||
\(934\) | 16.6560 | − | 2.16725i | 0.545002 | − | 0.0709147i | ||||
\(935\) | 55.7193 | − | 32.1695i | 1.82221 | − | 1.05206i | ||||
\(936\) | −2.93966 | − | 5.44957i | −0.0960856 | − | 0.178125i | ||||
\(937\) | 22.2046i | 0.725392i | 0.931908 | + | 0.362696i | \(0.118144\pi\) | ||||
−0.931908 | + | 0.362696i | \(0.881856\pi\) | |||||||
\(938\) | 6.30427 | + | 0.613118i | 0.205842 | + | 0.0200190i | ||||
\(939\) | −20.5434 | − | 10.4441i | −0.670407 | − | 0.340831i | ||||
\(940\) | 7.07086 | + | 26.7109i | 0.230626 | + | 0.871212i | ||||
\(941\) | 1.27292 | + | 0.734922i | 0.0414961 | + | 0.0239578i | 0.520605 | − | 0.853798i | \(-0.325707\pi\) |
−0.479108 | + | 0.877756i | \(0.659040\pi\) | |||||||
\(942\) | −19.4633 | + | 16.6027i | −0.634147 | + | 0.540945i | ||||
\(943\) | −10.4407 | + | 6.02795i | −0.339996 | + | 0.196297i | ||||
\(944\) | 13.0786 | + | 22.9718i | 0.425673 | + | 0.747669i | ||||
\(945\) | 3.63134 | − | 54.4722i | 0.118128 | − | 1.77198i | ||||
\(946\) | 38.7029 | − | 5.03596i | 1.25834 | − | 0.163733i | ||||
\(947\) | −13.3870 | − | 23.1870i | −0.435019 | − | 0.753475i | 0.562278 | − | 0.826948i | \(-0.309925\pi\) |
−0.997297 | + | 0.0734728i | \(0.976592\pi\) | |||||||
\(948\) | −9.75953 | − | 8.82503i | −0.316975 | − | 0.286624i | ||||
\(949\) | 0.675531 | + | 0.390018i | 0.0219287 | + | 0.0126605i | ||||
\(950\) | 4.74357 | + | 36.4559i | 0.153902 | + | 1.18278i | ||||
\(951\) | −14.1047 | + | 27.7437i | −0.457377 | + | 0.899650i | ||||
\(952\) | −40.9567 | + | 33.4896i | −1.32741 | + | 1.08541i | ||||
\(953\) | 1.83030i | 0.0592893i | 0.999561 | + | 0.0296446i | \(0.00943756\pi\) | ||||
−0.999561 | + | 0.0296446i | \(0.990562\pi\) | |||||||
\(954\) | 11.1345 | − | 10.5723i | 0.360492 | − | 0.342292i | ||||
\(955\) | 23.5398 | + | 40.7722i | 0.761731 | + | 1.31936i | ||||
\(956\) | 11.6628 | + | 44.0574i | 0.377202 | + | 1.42492i | ||||
\(957\) | −29.7631 | + | 1.58664i | −0.962105 | + | 0.0512887i | ||||
\(958\) | 1.78222 | − | 1.36328i | 0.0575808 | − | 0.0440454i | ||||
\(959\) | 9.84834 | − | 42.7655i | 0.318020 | − | 1.38097i | ||||
\(960\) | −11.8786 | + | 53.7272i | −0.383381 | + | 1.73404i | ||||
\(961\) | 1.75837 | + | 3.04559i | 0.0567217 | + | 0.0982449i | ||||
\(962\) | 1.17464 | + | 1.53561i | 0.0378719 | + | 0.0495101i | ||||
\(963\) | 25.1139 | + | 34.4360i | 0.809284 | + | 1.10968i | ||||
\(964\) | −41.2263 | − | 11.1800i | −1.32781 | − | 0.360082i | ||||
\(965\) | −9.74239 | − | 5.62477i | −0.313619 | − | 0.181068i | ||||
\(966\) | 4.81968 | − | 7.56442i | 0.155071 | − | 0.243381i | ||||
\(967\) | 3.23033 | + | 5.59510i | 0.103881 | + | 0.179926i | 0.913280 | − | 0.407332i | \(-0.133541\pi\) |
−0.809400 | + | 0.587258i | \(0.800207\pi\) | |||||||
\(968\) | −6.15361 | − | 15.0484i | −0.197785 | − | 0.483673i | ||||
\(969\) | 16.1208 | + | 24.7751i | 0.517875 | + | 0.795891i | ||||
\(970\) | 7.20159 | + | 55.3465i | 0.231229 | + | 1.77707i | ||||
\(971\) | 39.6908 | + | 22.9155i | 1.27374 | + | 0.735393i | 0.975689 | − | 0.219158i | \(-0.0703309\pi\) |
0.298049 | + | 0.954551i | \(0.403664\pi\) | |||||||
\(972\) | −27.0230 | − | 15.5486i | −0.866762 | − | 0.498721i | ||||
\(973\) | −2.99248 | − | 9.76867i | −0.0959344 | − | 0.313169i | ||||
\(974\) | 4.05357 | + | 1.68621i | 0.129885 | + | 0.0540297i | ||||
\(975\) | 6.16859 | − | 12.1335i | 0.197553 | − | 0.388583i | ||||
\(976\) | 0.0551085 | − | 9.13352i | 0.00176398 | − | 0.292357i | ||||
\(977\) | −23.2405 | − | 13.4179i | −0.743529 | − | 0.429277i | 0.0798221 | − | 0.996809i | \(-0.474565\pi\) |
−0.823351 | + | 0.567533i | \(0.807898\pi\) | |||||||
\(978\) | 20.5080 | + | 24.0415i | 0.655775 | + | 0.768763i | ||||
\(979\) | 4.70365 | − | 8.14696i | 0.150329 | − | 0.260378i | ||||
\(980\) | −41.8881 | − | 36.5537i | −1.33807 | − | 1.16767i | ||||
\(981\) | −1.65291 | − | 15.4591i | −0.0527733 | − | 0.493570i | ||||
\(982\) | −4.51594 | − | 1.87855i | −0.144109 | − | 0.0599469i | ||||
\(983\) | −13.3525 | −0.425879 | −0.212940 | − | 0.977065i | \(-0.568304\pi\) | ||||
−0.212940 | + | 0.977065i | \(0.568304\pi\) | |||||||
\(984\) | 42.5304 | + | 3.50246i | 1.35582 | + | 0.111654i | ||||
\(985\) | 55.7052i | 1.77492i | ||||||||
\(986\) | 59.6301 | − | 45.6130i | 1.89901 | − | 1.45261i | ||||
\(987\) | −10.2302 | + | 12.2278i | −0.325631 | + | 0.389217i | ||||
\(988\) | −0.922045 | + | 3.40006i | −0.0293342 | + | 0.108170i | ||||
\(989\) | 8.33339 | − | 14.4339i | 0.264986 | − | 0.458970i | ||||
\(990\) | 37.5409 | − | 9.02423i | 1.19313 | − | 0.286809i | ||||
\(991\) | −8.15321 | − | 14.1218i | −0.258995 | − | 0.448593i | 0.706978 | − | 0.707236i | \(-0.250058\pi\) |
−0.965973 | + | 0.258643i | \(0.916725\pi\) | |||||||
\(992\) | −30.6079 | − | 12.9495i | −0.971803 | − | 0.411148i | ||||
\(993\) | −8.44866 | − | 4.29525i | −0.268110 | − | 0.136306i | ||||
\(994\) | 11.4713 | + | 25.2354i | 0.363848 | + | 0.800418i | ||||
\(995\) | 11.0784 | + | 19.1883i | 0.351209 | + | 0.608311i | ||||
\(996\) | 43.0620 | + | 9.24850i | 1.36447 | + | 0.293050i | ||||
\(997\) | 19.1554 | 0.606656 | 0.303328 | − | 0.952886i | \(-0.401902\pi\) | ||||
0.303328 | + | 0.952886i | \(0.401902\pi\) | |||||||
\(998\) | −3.93150 | − | 5.13966i | −0.124449 | − | 0.162693i | ||||
\(999\) | 9.09750 | + | 3.46410i | 0.287832 | + | 0.109599i |
(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 | 504.2.y.a.173.20 | yes | 184 | |
7.3 | odd | 6 | 504.2.ca.a.101.43 | yes | 184 | ||
8.5 | even | 2 | inner | 504.2.y.a.173.13 | ✓ | 184 | |
9.5 | odd | 6 | 504.2.ca.a.5.50 | yes | 184 | ||
56.45 | odd | 6 | 504.2.ca.a.101.50 | yes | 184 | ||
63.59 | even | 6 | inner | 504.2.y.a.437.13 | yes | 184 | |
72.5 | odd | 6 | 504.2.ca.a.5.43 | yes | 184 | ||
504.437 | even | 6 | inner | 504.2.y.a.437.20 | yes | 184 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.y.a.173.13 | ✓ | 184 | 8.5 | even | 2 | inner | |
504.2.y.a.173.20 | yes | 184 | 1.1 | even | 1 | trivial | |
504.2.y.a.437.13 | yes | 184 | 63.59 | even | 6 | inner | |
504.2.y.a.437.20 | yes | 184 | 504.437 | even | 6 | inner | |
504.2.ca.a.5.43 | yes | 184 | 72.5 | odd | 6 | ||
504.2.ca.a.5.50 | yes | 184 | 9.5 | odd | 6 | ||
504.2.ca.a.101.43 | yes | 184 | 7.3 | odd | 6 | ||
504.2.ca.a.101.50 | yes | 184 | 56.45 | odd | 6 |