Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [322,2,Mod(83,322)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(322, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 21]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("322.83");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 322 = 2 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 322.k (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.57118294509\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 83.6 | ||
Character | \(\chi\) | \(=\) | 322.83 |
Dual form | 322.2.k.a.97.6 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{21}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | + | 0.281733i | −0.678464 | + | 0.199215i | ||||
\(3\) | 0.749737 | − | 0.649651i | 0.432861 | − | 0.375076i | −0.411003 | − | 0.911634i | \(-0.634821\pi\) |
0.843863 | + | 0.536558i | \(0.180276\pi\) | |||||||
\(4\) | 0.841254 | − | 0.540641i | 0.420627 | − | 0.270320i | ||||
\(5\) | 0.540672 | + | 3.76045i | 0.241796 | + | 1.68173i | 0.643101 | + | 0.765782i | \(0.277648\pi\) |
−0.401305 | + | 0.915945i | \(0.631443\pi\) | |||||||
\(6\) | −0.536339 | + | 0.834560i | −0.218960 | + | 0.340708i | ||||
\(7\) | −2.00073 | − | 1.73120i | −0.756206 | − | 0.654334i | ||||
\(8\) | −0.654861 | + | 0.755750i | −0.231528 | + | 0.267198i | ||||
\(9\) | −0.286885 | + | 1.99533i | −0.0956284 | + | 0.665110i | ||||
\(10\) | −1.57821 | − | 3.45580i | −0.499075 | − | 1.09282i | ||||
\(11\) | −1.64274 | + | 5.59467i | −0.495306 | + | 1.68686i | 0.209791 | + | 0.977746i | \(0.432722\pi\) |
−0.705097 | + | 0.709111i | \(0.749096\pi\) | |||||||
\(12\) | 0.279491 | − | 0.951859i | 0.0806821 | − | 0.274778i | ||||
\(13\) | −0.519511 | + | 0.237253i | −0.144086 | + | 0.0658021i | −0.486153 | − | 0.873874i | \(-0.661600\pi\) |
0.342067 | + | 0.939676i | \(0.388873\pi\) | |||||||
\(14\) | 2.40743 | + | 1.09741i | 0.643412 | + | 0.293294i | ||||
\(15\) | 2.84834 | + | 2.46810i | 0.735439 | + | 0.637261i | ||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | −5.39933 | − | 3.46994i | −1.30953 | − | 0.841584i | −0.315314 | − | 0.948987i | \(-0.602110\pi\) |
−0.994215 | + | 0.107404i | \(0.965746\pi\) | |||||||
\(18\) | −0.286885 | − | 1.99533i | −0.0676195 | − | 0.470304i | ||||
\(19\) | 5.54487 | − | 3.56347i | 1.27208 | − | 0.817517i | 0.282192 | − | 0.959358i | \(-0.408939\pi\) |
0.989889 | + | 0.141841i | \(0.0453022\pi\) | |||||||
\(20\) | 2.48790 | + | 2.87119i | 0.556311 | + | 0.642017i | ||||
\(21\) | −2.62470 | + | 0.00183025i | −0.572757 | + | 0.000399393i | ||||
\(22\) | − | 5.83086i | − | 1.24314i | ||||||
\(23\) | 2.13861 | + | 4.29259i | 0.445932 | + | 0.895067i | ||||
\(24\) | 0.992044i | 0.202500i | ||||||||
\(25\) | −9.05123 | + | 2.65768i | −1.81025 | + | 0.531536i | ||||
\(26\) | 0.431625 | − | 0.374005i | 0.0846487 | − | 0.0733485i | ||||
\(27\) | 2.69020 | + | 4.18603i | 0.517729 | + | 0.805602i | ||||
\(28\) | −2.61908 | − | 0.374703i | −0.494960 | − | 0.0708123i | ||||
\(29\) | 0.651180 | + | 0.418488i | 0.120921 | + | 0.0777113i | 0.599703 | − | 0.800222i | \(-0.295285\pi\) |
−0.478782 | + | 0.877934i | \(0.658922\pi\) | |||||||
\(30\) | −3.42831 | − | 1.56566i | −0.625921 | − | 0.285848i | ||||
\(31\) | 5.47959 | + | 4.74809i | 0.984163 | + | 0.852782i | 0.989106 | − | 0.147206i | \(-0.0470279\pi\) |
−0.00494283 | + | 0.999988i | \(0.501573\pi\) | |||||||
\(32\) | −0.142315 | + | 0.989821i | −0.0251579 | + | 0.174977i | ||||
\(33\) | 2.40296 | + | 5.26174i | 0.418301 | + | 0.915952i | ||||
\(34\) | 6.15821 | + | 1.80821i | 1.05612 | + | 0.310106i | ||||
\(35\) | 5.42837 | − | 8.45968i | 0.917563 | − | 1.42995i | ||||
\(36\) | 0.837414 | + | 1.83368i | 0.139569 | + | 0.305613i | ||||
\(37\) | −0.936384 | − | 0.134632i | −0.153941 | − | 0.0221333i | 0.0649136 | − | 0.997891i | \(-0.479323\pi\) |
−0.218854 | + | 0.975758i | \(0.570232\pi\) | |||||||
\(38\) | −4.31632 | + | 4.98130i | −0.700200 | + | 0.808073i | ||||
\(39\) | −0.235365 | + | 0.515378i | −0.0376886 | + | 0.0825265i | ||||
\(40\) | −3.19603 | − | 2.05396i | −0.505336 | − | 0.324760i | ||||
\(41\) | 2.88712 | − | 0.415106i | 0.450893 | − | 0.0648286i | 0.0868722 | − | 0.996219i | \(-0.472313\pi\) |
0.364021 | + | 0.931391i | \(0.381404\pi\) | |||||||
\(42\) | 2.51787 | − | 0.741220i | 0.388515 | − | 0.114373i | ||||
\(43\) | 1.26976 | − | 1.10026i | 0.193637 | − | 0.167788i | −0.552646 | − | 0.833416i | \(-0.686382\pi\) |
0.746283 | + | 0.665628i | \(0.231836\pi\) | |||||||
\(44\) | 1.64274 | + | 5.59467i | 0.247653 | + | 0.843429i | ||||
\(45\) | −7.65846 | −1.14166 | ||||||||
\(46\) | −3.26135 | − | 3.51619i | −0.480859 | − | 0.518435i | ||||
\(47\) | 1.08354i | 0.158050i | 0.996873 | + | 0.0790249i | \(0.0251807\pi\) | ||||
−0.996873 | + | 0.0790249i | \(0.974819\pi\) | |||||||
\(48\) | −0.279491 | − | 0.951859i | −0.0403411 | − | 0.137389i | ||||
\(49\) | 1.00587 | + | 6.92735i | 0.143695 | + | 0.989622i | ||||
\(50\) | 7.93583 | − | 5.10005i | 1.12230 | − | 0.721256i | ||||
\(51\) | −6.30232 | + | 0.906137i | −0.882502 | + | 0.126885i | ||||
\(52\) | −0.308772 | + | 0.480458i | −0.0428190 | + | 0.0666276i | ||||
\(53\) | −3.78510 | − | 1.72860i | −0.519924 | − | 0.237441i | 0.138127 | − | 0.990414i | \(-0.455892\pi\) |
−0.658051 | + | 0.752973i | \(0.728619\pi\) | |||||||
\(54\) | −3.76057 | − | 3.25855i | −0.511748 | − | 0.443432i | ||||
\(55\) | −21.9267 | − | 3.15258i | −2.95660 | − | 0.425094i | ||||
\(56\) | 2.61856 | − | 0.378356i | 0.349920 | − | 0.0505599i | ||||
\(57\) | 1.84218 | − | 6.27390i | 0.244003 | − | 0.830998i | ||||
\(58\) | −0.742704 | − | 0.218078i | −0.0975219 | − | 0.0286350i | ||||
\(59\) | 8.99370 | − | 4.10728i | 1.17088 | − | 0.534723i | 0.267497 | − | 0.963559i | \(-0.413803\pi\) |
0.903382 | + | 0.428836i | \(0.141076\pi\) | |||||||
\(60\) | 3.73054 | + | 0.536370i | 0.481610 | + | 0.0692451i | ||||
\(61\) | 4.78826 | − | 5.52594i | 0.613074 | − | 0.707525i | −0.361303 | − | 0.932449i | \(-0.617668\pi\) |
0.974376 | + | 0.224924i | \(0.0722134\pi\) | |||||||
\(62\) | −6.59532 | − | 3.01198i | −0.837606 | − | 0.382522i | ||||
\(63\) | 4.02830 | − | 3.49547i | 0.507519 | − | 0.440387i | ||||
\(64\) | −0.142315 | − | 0.989821i | −0.0177894 | − | 0.123728i | ||||
\(65\) | −1.17306 | − | 1.82532i | −0.145501 | − | 0.226403i | ||||
\(66\) | −3.78802 | − | 4.37161i | −0.466274 | − | 0.538108i | ||||
\(67\) | −1.75843 | − | 5.98865i | −0.214826 | − | 0.731630i | −0.994434 | − | 0.105362i | \(-0.966400\pi\) |
0.779608 | − | 0.626268i | \(-0.215418\pi\) | |||||||
\(68\) | −6.41820 | −0.778321 | ||||||||
\(69\) | 4.39208 | + | 1.82896i | 0.528744 | + | 0.220181i | ||||
\(70\) | −2.82512 | + | 9.64635i | −0.337666 | + | 1.15296i | ||||
\(71\) | 9.07120 | − | 2.66355i | 1.07655 | − | 0.316105i | 0.305054 | − | 0.952335i | \(-0.401325\pi\) |
0.771499 | + | 0.636230i | \(0.219507\pi\) | |||||||
\(72\) | −1.32010 | − | 1.52348i | −0.155575 | − | 0.179543i | ||||
\(73\) | 2.13132 | + | 3.31639i | 0.249452 | + | 0.388154i | 0.943286 | − | 0.331980i | \(-0.107717\pi\) |
−0.693835 | + | 0.720134i | \(0.744080\pi\) | |||||||
\(74\) | 0.936384 | − | 0.134632i | 0.108852 | − | 0.0156506i | ||||
\(75\) | −5.05947 | + | 7.87269i | −0.584218 | + | 0.909060i | ||||
\(76\) | 2.73808 | − | 5.99557i | 0.314080 | − | 0.687739i | ||||
\(77\) | 12.9722 | − | 8.34952i | 1.47832 | − | 0.951516i | ||||
\(78\) | 0.0806325 | − | 0.560811i | 0.00912983 | − | 0.0634994i | ||||
\(79\) | −3.57898 | + | 1.63447i | −0.402667 | + | 0.183892i | −0.606445 | − | 0.795125i | \(-0.707405\pi\) |
0.203778 | + | 0.979017i | \(0.434678\pi\) | |||||||
\(80\) | 3.64523 | + | 1.07034i | 0.407549 | + | 0.119667i | ||||
\(81\) | −1.06618 | − | 0.313059i | −0.118465 | − | 0.0347844i | ||||
\(82\) | −2.65323 | + | 1.21169i | −0.293000 | + | 0.133809i | ||||
\(83\) | 1.38547 | − | 9.63617i | 0.152075 | − | 1.05771i | −0.760659 | − | 0.649152i | \(-0.775124\pi\) |
0.912734 | − | 0.408555i | \(-0.133967\pi\) | |||||||
\(84\) | −2.20705 | + | 1.42056i | −0.240809 | + | 0.154996i | ||||
\(85\) | 10.1293 | − | 22.1800i | 1.09867 | − | 2.40576i | ||||
\(86\) | −0.908352 | + | 1.41342i | −0.0979501 | + | 0.152413i | ||||
\(87\) | 0.760085 | − | 0.109284i | 0.0814896 | − | 0.0117164i | ||||
\(88\) | −3.15240 | − | 4.90524i | −0.336047 | − | 0.522900i | ||||
\(89\) | −5.73933 | − | 6.62354i | −0.608368 | − | 0.702094i | 0.365087 | − | 0.930973i | \(-0.381039\pi\) |
−0.973455 | + | 0.228880i | \(0.926494\pi\) | |||||||
\(90\) | 7.34824 | − | 2.15764i | 0.774572 | − | 0.227435i | ||||
\(91\) | 1.45014 | + | 0.424700i | 0.152015 | + | 0.0445207i | ||||
\(92\) | 4.11987 | + | 2.45494i | 0.429526 | + | 0.255945i | ||||
\(93\) | 7.19285 | 0.745864 | ||||||||
\(94\) | −0.305267 | − | 1.03964i | −0.0314859 | − | 0.107231i | ||||
\(95\) | 16.3982 | + | 18.9246i | 1.68242 | + | 1.94162i | ||||
\(96\) | 0.536339 | + | 0.834560i | 0.0547399 | + | 0.0851770i | ||||
\(97\) | 0.176073 | + | 1.22462i | 0.0178775 | + | 0.124341i | 0.996806 | − | 0.0798634i | \(-0.0254484\pi\) |
−0.978928 | + | 0.204204i | \(0.934539\pi\) | |||||||
\(98\) | −2.91678 | − | 6.36336i | −0.294640 | − | 0.642797i | ||||
\(99\) | −10.6919 | − | 4.88285i | −1.07458 | − | 0.490745i | ||||
\(100\) | −6.17753 | + | 7.12924i | −0.617753 | + | 0.712924i | ||||
\(101\) | 9.20282 | + | 1.32317i | 0.915715 | + | 0.131660i | 0.584032 | − | 0.811731i | \(-0.301474\pi\) |
0.331683 | + | 0.943391i | \(0.392383\pi\) | |||||||
\(102\) | 5.79175 | − | 2.64500i | 0.573468 | − | 0.261894i | ||||
\(103\) | 0.244140 | + | 0.0716859i | 0.0240558 | + | 0.00706342i | 0.293738 | − | 0.955886i | \(-0.405101\pi\) |
−0.269683 | + | 0.962949i | \(0.586919\pi\) | |||||||
\(104\) | 0.160904 | − | 0.547988i | 0.0157779 | − | 0.0537346i | ||||
\(105\) | −1.42598 | − | 9.86908i | −0.139162 | − | 0.963123i | ||||
\(106\) | 4.11878 | + | 0.592191i | 0.400051 | + | 0.0575187i | ||||
\(107\) | −3.52608 | − | 3.05537i | −0.340879 | − | 0.295374i | 0.467550 | − | 0.883966i | \(-0.345137\pi\) |
−0.808430 | + | 0.588593i | \(0.799682\pi\) | |||||||
\(108\) | 4.52628 | + | 2.06708i | 0.435541 | + | 0.198905i | ||||
\(109\) | −7.11987 | + | 11.0787i | −0.681959 | + | 1.06115i | 0.311859 | + | 0.950129i | \(0.399048\pi\) |
−0.993818 | + | 0.111021i | \(0.964588\pi\) | |||||||
\(110\) | 21.9267 | − | 3.15258i | 2.09063 | − | 0.300587i | ||||
\(111\) | −0.789505 | + | 0.507384i | −0.0749365 | + | 0.0481588i | ||||
\(112\) | −2.40589 | + | 1.10076i | −0.227336 | + | 0.104012i | ||||
\(113\) | 2.45831 | + | 8.37225i | 0.231259 | + | 0.787595i | 0.990587 | + | 0.136887i | \(0.0437097\pi\) |
−0.759328 | + | 0.650708i | \(0.774472\pi\) | |||||||
\(114\) | 6.53876i | 0.612411i | ||||||||
\(115\) | −14.9858 | + | 10.3630i | −1.39743 | + | 0.966358i | ||||
\(116\) | 0.774059 | 0.0718696 | ||||||||
\(117\) | −0.324358 | − | 1.10466i | −0.0299869 | − | 0.102126i | ||||
\(118\) | −7.47223 | + | 6.47473i | −0.687875 | + | 0.596047i | ||||
\(119\) | 4.79545 | + | 16.2898i | 0.439598 | + | 1.49328i | ||||
\(120\) | −3.73054 | + | 0.536370i | −0.340550 | + | 0.0489637i | ||||
\(121\) | −19.3480 | − | 12.4342i | −1.75891 | − | 1.13038i | ||||
\(122\) | −3.03746 | + | 6.65111i | −0.274999 | + | 0.602163i | ||||
\(123\) | 1.89491 | − | 2.18684i | 0.170858 | − | 0.197181i | ||||
\(124\) | 7.17673 | + | 1.03186i | 0.644490 | + | 0.0926636i | ||||
\(125\) | −6.99676 | − | 15.3208i | −0.625809 | − | 1.37033i | ||||
\(126\) | −2.88034 | + | 4.48878i | −0.256601 | + | 0.399892i | ||||
\(127\) | 15.9487 | + | 4.68295i | 1.41522 | + | 0.415545i | 0.897881 | − | 0.440238i | \(-0.145106\pi\) |
0.517335 | + | 0.855783i | \(0.326924\pi\) | |||||||
\(128\) | 0.415415 | + | 0.909632i | 0.0367178 | + | 0.0804009i | ||||
\(129\) | 0.237206 | − | 1.64981i | 0.0208849 | − | 0.145257i | ||||
\(130\) | 1.63980 | + | 1.42089i | 0.143820 | + | 0.124621i | ||||
\(131\) | −19.1014 | − | 8.72332i | −1.66890 | − | 0.762160i | −0.999820 | − | 0.0189678i | \(-0.993962\pi\) |
−0.669078 | − | 0.743192i | \(-0.733311\pi\) | |||||||
\(132\) | 4.86621 | + | 3.12732i | 0.423549 | + | 0.272198i | ||||
\(133\) | −17.2629 | − | 2.46975i | −1.49688 | − | 0.214154i | ||||
\(134\) | 3.37439 | + | 5.25066i | 0.291503 | + | 0.453588i | ||||
\(135\) | −14.2869 | + | 12.3796i | −1.22962 | + | 1.06547i | ||||
\(136\) | 6.15821 | − | 1.80821i | 0.528062 | − | 0.155053i | ||||
\(137\) | − | 10.9514i | − | 0.935642i | −0.883823 | − | 0.467821i | \(-0.845039\pi\) | ||
0.883823 | − | 0.467821i | \(-0.154961\pi\) | |||||||
\(138\) | −4.72945 | − | 0.517484i | −0.402597 | − | 0.0440512i | ||||
\(139\) | 5.48475i | 0.465211i | 0.972571 | + | 0.232605i | \(0.0747251\pi\) | ||||
−0.972571 | + | 0.232605i | \(0.925275\pi\) | |||||||
\(140\) | −0.00700911 | − | 10.0515i | −0.000592378 | − | 0.849510i | ||||
\(141\) | 0.703919 | + | 0.812366i | 0.0592807 | + | 0.0684136i | ||||
\(142\) | −7.95335 | + | 5.11131i | −0.667430 | + | 0.428931i | ||||
\(143\) | −0.473928 | − | 3.29624i | −0.0396318 | − | 0.275645i | ||||
\(144\) | 1.69584 | + | 1.08985i | 0.141320 | + | 0.0908209i | ||||
\(145\) | −1.22163 | + | 2.67500i | −0.101451 | + | 0.222146i | ||||
\(146\) | −2.97932 | − | 2.58159i | −0.246570 | − | 0.213654i | ||||
\(147\) | 5.25449 | + | 4.54023i | 0.433383 | + | 0.374472i | ||||
\(148\) | −0.860524 | + | 0.392988i | −0.0707346 | + | 0.0323034i | ||||
\(149\) | −2.92491 | + | 9.96133i | −0.239618 | + | 0.816064i | 0.748601 | + | 0.663020i | \(0.230726\pi\) |
−0.988219 | + | 0.153044i | \(0.951092\pi\) | |||||||
\(150\) | 2.63653 | − | 8.97921i | 0.215272 | − | 0.733150i | ||||
\(151\) | −1.79767 | − | 3.93635i | −0.146293 | − | 0.320336i | 0.822274 | − | 0.569092i | \(-0.192705\pi\) |
−0.968566 | + | 0.248757i | \(0.919978\pi\) | |||||||
\(152\) | −0.938026 | + | 6.52411i | −0.0760840 | + | 0.529176i | ||||
\(153\) | 8.47266 | − | 9.77797i | 0.684974 | − | 0.790502i | ||||
\(154\) | −10.0944 | + | 11.6660i | −0.813431 | + | 0.940073i | ||||
\(155\) | −14.8923 | + | 23.1729i | −1.19618 | + | 1.86129i | ||||
\(156\) | 0.0806325 | + | 0.560811i | 0.00645576 | + | 0.0449008i | ||||
\(157\) | 6.74262 | − | 4.33322i | 0.538120 | − | 0.345828i | −0.243183 | − | 0.969980i | \(-0.578192\pi\) |
0.781303 | + | 0.624152i | \(0.214555\pi\) | |||||||
\(158\) | 2.97353 | − | 2.57658i | 0.236561 | − | 0.204981i | ||||
\(159\) | −3.96081 | + | 1.16300i | −0.314113 | + | 0.0922319i | ||||
\(160\) | −3.79912 | −0.300347 | ||||||||
\(161\) | 3.15256 | − | 12.2907i | 0.248456 | − | 0.968643i | ||||
\(162\) | 1.11119 | 0.0873036 | ||||||||
\(163\) | 17.3401 | − | 5.09151i | 1.35818 | − | 0.398798i | 0.480060 | − | 0.877235i | \(-0.340615\pi\) |
0.878122 | + | 0.478437i | \(0.158797\pi\) | |||||||
\(164\) | 2.20438 | − | 1.91011i | 0.172133 | − | 0.149154i | ||||
\(165\) | −18.4873 | + | 11.8811i | −1.43924 | + | 0.924941i | ||||
\(166\) | 1.38547 | + | 9.63617i | 0.107533 | + | 0.747912i | ||||
\(167\) | −1.29283 | + | 2.01169i | −0.100042 | + | 0.155669i | −0.887666 | − | 0.460487i | \(-0.847675\pi\) |
0.787624 | + | 0.616156i | \(0.211311\pi\) | |||||||
\(168\) | 1.71743 | − | 1.98482i | 0.132503 | − | 0.153132i | ||||
\(169\) | −8.29959 | + | 9.57823i | −0.638430 | + | 0.736787i | ||||
\(170\) | −3.47014 | + | 24.1353i | −0.266147 | + | 1.85110i | ||||
\(171\) | 5.51957 | + | 12.0862i | 0.422092 | + | 0.924252i | ||||
\(172\) | 0.473350 | − | 1.61208i | 0.0360926 | − | 0.122920i | ||||
\(173\) | −6.07077 | + | 20.6751i | −0.461552 | + | 1.57190i | 0.319594 | + | 0.947555i | \(0.396453\pi\) |
−0.781146 | + | 0.624348i | \(0.785365\pi\) | |||||||
\(174\) | −0.698507 | + | 0.318998i | −0.0529537 | + | 0.0241831i | ||||
\(175\) | 22.7101 | + | 10.3522i | 1.71672 | + | 0.782553i | ||||
\(176\) | 4.40667 | + | 3.81840i | 0.332165 | + | 0.287823i | ||||
\(177\) | 4.07461 | − | 8.92214i | 0.306266 | − | 0.670629i | ||||
\(178\) | 7.37291 | + | 4.73828i | 0.552623 | + | 0.355149i | ||||
\(179\) | 0.150185 | + | 1.04456i | 0.0112253 | + | 0.0780739i | 0.994664 | − | 0.103167i | \(-0.0328977\pi\) |
−0.983439 | + | 0.181241i | \(0.941989\pi\) | |||||||
\(180\) | −6.44271 | + | 4.14048i | −0.480211 | + | 0.308613i | ||||
\(181\) | 14.9567 | + | 17.2609i | 1.11172 | + | 1.28300i | 0.955408 | + | 0.295288i | \(0.0954157\pi\) |
0.156314 | + | 0.987707i | \(0.450039\pi\) | |||||||
\(182\) | −1.51105 | + | 0.00105368i | −0.112006 | + | 7.81039e-5i | ||||
\(183\) | − | 7.25370i | − | 0.536209i | ||||||
\(184\) | −4.64462 | − | 1.19479i | −0.342406 | − | 0.0880814i | ||||
\(185\) | − | 3.59402i | − | 0.264238i | ||||||
\(186\) | −6.90149 | + | 2.02646i | −0.506042 | + | 0.148587i | ||||
\(187\) | 28.2829 | − | 24.5073i | 2.06825 | − | 1.79215i | ||||
\(188\) | 0.585803 | + | 0.911528i | 0.0427241 | + | 0.0664800i | ||||
\(189\) | 1.86450 | − | 13.0324i | 0.135623 | − | 0.947968i | ||||
\(190\) | −21.0657 | − | 13.5381i | −1.52826 | − | 0.982155i | ||||
\(191\) | −1.10831 | − | 0.506148i | −0.0801945 | − | 0.0366236i | 0.374914 | − | 0.927060i | \(-0.377672\pi\) |
−0.455108 | + | 0.890436i | \(0.650400\pi\) | |||||||
\(192\) | −0.749737 | − | 0.649651i | −0.0541076 | − | 0.0468845i | ||||
\(193\) | −0.797611 | + | 5.54751i | −0.0574133 | + | 0.399318i | 0.940769 | + | 0.339049i | \(0.110105\pi\) |
−0.998182 | + | 0.0602696i | \(0.980804\pi\) | |||||||
\(194\) | −0.513955 | − | 1.12541i | −0.0368999 | − | 0.0807994i | ||||
\(195\) | −2.06531 | − | 0.606429i | −0.147900 | − | 0.0434273i | ||||
\(196\) | 4.59140 | + | 5.28385i | 0.327957 | + | 0.377418i | ||||
\(197\) | −3.19112 | − | 6.98757i | −0.227358 | − | 0.497844i | 0.761231 | − | 0.648480i | \(-0.224595\pi\) |
−0.988589 | + | 0.150636i | \(0.951868\pi\) | |||||||
\(198\) | 11.6345 | + | 1.67279i | 0.826828 | + | 0.118880i | ||||
\(199\) | 11.0064 | − | 12.7020i | 0.780220 | − | 0.900422i | −0.216905 | − | 0.976193i | \(-0.569596\pi\) |
0.997125 | + | 0.0757703i | \(0.0241416\pi\) | |||||||
\(200\) | 3.91875 | − | 8.58087i | 0.277098 | − | 0.606759i | ||||
\(201\) | −5.20889 | − | 3.34755i | −0.367406 | − | 0.236118i | ||||
\(202\) | −9.20282 | + | 1.32317i | −0.647508 | + | 0.0930976i | ||||
\(203\) | −0.578349 | − | 1.96461i | −0.0405922 | − | 0.137888i | ||||
\(204\) | −4.81196 | + | 4.16958i | −0.336904 | + | 0.291929i | ||||
\(205\) | 3.12197 | + | 10.6325i | 0.218048 | + | 0.742603i | ||||
\(206\) | −0.254447 | −0.0177281 | ||||||||
\(207\) | −9.17867 | + | 3.03576i | −0.637962 | + | 0.211000i | ||||
\(208\) | 0.571122i | 0.0396002i | ||||||||
\(209\) | 10.8277 | + | 36.8756i | 0.748965 | + | 2.55074i | ||||
\(210\) | 4.14866 | + | 9.06756i | 0.286285 | + | 0.625721i | ||||
\(211\) | 7.98726 | − | 5.13310i | 0.549866 | − | 0.353377i | −0.236021 | − | 0.971748i | \(-0.575843\pi\) |
0.785887 | + | 0.618371i | \(0.212207\pi\) | |||||||
\(212\) | −4.11878 | + | 0.592191i | −0.282879 | + | 0.0406719i | ||||
\(213\) | 5.07064 | − | 7.89007i | 0.347435 | − | 0.540619i | ||||
\(214\) | 4.24405 | + | 1.93819i | 0.290117 | + | 0.132492i | ||||
\(215\) | 4.82399 | + | 4.18001i | 0.328994 | + | 0.285075i | ||||
\(216\) | −4.92529 | − | 0.708150i | −0.335124 | − | 0.0481835i | ||||
\(217\) | −2.74328 | − | 18.9859i | −0.186226 | − | 1.28885i | ||||
\(218\) | 3.71022 | − | 12.6359i | 0.251288 | − | 0.855808i | ||||
\(219\) | 3.75242 | + | 1.10181i | 0.253565 | + | 0.0744535i | ||||
\(220\) | −20.1503 | + | 9.20235i | −1.35853 | + | 0.620422i | ||||
\(221\) | 3.62826 | + | 0.521665i | 0.244063 | + | 0.0350910i | ||||
\(222\) | 0.614578 | − | 0.709261i | 0.0412478 | − | 0.0476025i | ||||
\(223\) | 10.7340 | + | 4.90207i | 0.718804 | + | 0.328267i | 0.741017 | − | 0.671487i | \(-0.234344\pi\) |
−0.0222131 | + | 0.999753i | \(0.507071\pi\) | |||||||
\(224\) | 1.99832 | − | 1.73399i | 0.133518 | − | 0.115857i | ||||
\(225\) | −2.70629 | − | 18.8226i | −0.180419 | − | 1.25484i | ||||
\(226\) | −4.71747 | − | 7.34053i | −0.313802 | − | 0.488285i | ||||
\(227\) | 3.18519 | + | 3.67590i | 0.211408 | + | 0.243978i | 0.851543 | − | 0.524284i | \(-0.175667\pi\) |
−0.640135 | + | 0.768262i | \(0.721122\pi\) | |||||||
\(228\) | −1.84218 | − | 6.27390i | −0.122002 | − | 0.415499i | ||||
\(229\) | −1.61125 | −0.106474 | −0.0532372 | − | 0.998582i | \(-0.516954\pi\) | ||||
−0.0532372 | + | 0.998582i | \(0.516954\pi\) | |||||||
\(230\) | 11.4592 | − | 14.1652i | 0.755595 | − | 0.934029i | ||||
\(231\) | 4.30147 | − | 14.6874i | 0.283016 | − | 0.966357i | ||||
\(232\) | −0.742704 | + | 0.218078i | −0.0487609 | + | 0.0143175i | ||||
\(233\) | 8.04628 | + | 9.28591i | 0.527130 | + | 0.608340i | 0.955402 | − | 0.295310i | \(-0.0954229\pi\) |
−0.428272 | + | 0.903650i | \(0.640877\pi\) | |||||||
\(234\) | 0.622437 | + | 0.968532i | 0.0406900 | + | 0.0633149i | ||||
\(235\) | −4.07458 | + | 0.585837i | −0.265797 | + | 0.0382158i | ||||
\(236\) | 5.34541 | − | 8.31763i | 0.347957 | − | 0.541431i | ||||
\(237\) | −1.62146 | + | 3.55051i | −0.105325 | + | 0.230630i | ||||
\(238\) | −9.19055 | − | 14.2789i | −0.595735 | − | 0.925562i | ||||
\(239\) | −0.845376 | + | 5.87972i | −0.0546828 | + | 0.380327i | 0.944041 | + | 0.329827i | \(0.106991\pi\) |
−0.998724 | + | 0.0504999i | \(0.983919\pi\) | |||||||
\(240\) | 3.42831 | − | 1.56566i | 0.221296 | − | 0.101063i | ||||
\(241\) | −25.9258 | − | 7.61250i | −1.67003 | − | 0.490364i | −0.696237 | − | 0.717812i | \(-0.745144\pi\) |
−0.973790 | + | 0.227447i | \(0.926962\pi\) | |||||||
\(242\) | 22.0674 | + | 6.47956i | 1.41854 | + | 0.416522i | ||||
\(243\) | −14.5816 | + | 6.65918i | −0.935408 | + | 0.427186i | ||||
\(244\) | 1.04059 | − | 7.23745i | 0.0666168 | − | 0.463330i | ||||
\(245\) | −25.5062 | + | 7.52794i | −1.62953 | + | 0.480942i | ||||
\(246\) | −1.20205 | + | 2.63212i | −0.0766397 | + | 0.167818i | ||||
\(247\) | −2.03518 | + | 3.16680i | −0.129495 | + | 0.201499i | ||||
\(248\) | −7.17673 | + | 1.03186i | −0.455723 | + | 0.0655231i | ||||
\(249\) | −5.22140 | − | 8.12466i | −0.330893 | − | 0.514880i | ||||
\(250\) | 11.0297 | + | 12.7290i | 0.697579 | + | 0.805049i | ||||
\(251\) | 1.79068 | − | 0.525792i | 0.113027 | − | 0.0331877i | −0.224730 | − | 0.974421i | \(-0.572150\pi\) |
0.337757 | + | 0.941233i | \(0.390332\pi\) | |||||||
\(252\) | 1.49903 | − | 5.11844i | 0.0944302 | − | 0.322431i | ||||
\(253\) | −27.5288 | + | 4.91321i | −1.73072 | + | 0.308891i | ||||
\(254\) | −16.6220 | −1.04296 | ||||||||
\(255\) | −6.81498 | − | 23.2097i | −0.426770 | − | 1.45345i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | −13.4757 | − | 20.9686i | −0.840592 | − | 1.30799i | −0.949447 | − | 0.313929i | \(-0.898355\pi\) |
0.108855 | − | 0.994058i | \(-0.465282\pi\) | |||||||
\(258\) | 0.237206 | + | 1.64981i | 0.0147678 | + | 0.102712i | ||||
\(259\) | 1.64038 | + | 1.89043i | 0.101928 | + | 0.117466i | ||||
\(260\) | −1.97369 | − | 0.901352i | −0.122403 | − | 0.0558995i | ||||
\(261\) | −1.02184 | + | 1.17926i | −0.0632501 | + | 0.0729945i | ||||
\(262\) | 20.7853 | + | 2.98848i | 1.28412 | + | 0.184629i | ||||
\(263\) | 0.668651 | − | 0.305362i | 0.0412308 | − | 0.0188295i | −0.394693 | − | 0.918813i | \(-0.629149\pi\) |
0.435924 | + | 0.899984i | \(0.356422\pi\) | |||||||
\(264\) | −5.55016 | − | 1.62967i | −0.341589 | − | 0.100300i | ||||
\(265\) | 4.45382 | − | 15.1683i | 0.273596 | − | 0.931781i | ||||
\(266\) | 17.2594 | − | 2.49382i | 1.05824 | − | 0.152906i | ||||
\(267\) | −8.60597 | − | 1.23735i | −0.526677 | − | 0.0757247i | ||||
\(268\) | −4.71699 | − | 4.08729i | −0.288136 | − | 0.249671i | ||||
\(269\) | 5.43442 | + | 2.48182i | 0.331342 | + | 0.151319i | 0.574138 | − | 0.818758i | \(-0.305337\pi\) |
−0.242796 | + | 0.970077i | \(0.578064\pi\) | |||||||
\(270\) | 10.2204 | − | 15.9032i | 0.621993 | − | 0.967841i | ||||
\(271\) | 2.98517 | − | 0.429202i | 0.181336 | − | 0.0260722i | −0.0510485 | − | 0.998696i | \(-0.516256\pi\) |
0.232385 | + | 0.972624i | \(0.425347\pi\) | |||||||
\(272\) | −5.39933 | + | 3.46994i | −0.327382 | + | 0.210396i | ||||
\(273\) | 1.36313 | − | 0.623668i | 0.0825002 | − | 0.0377461i | ||||
\(274\) | 3.08537 | + | 10.5078i | 0.186394 | + | 0.634799i | ||||
\(275\) | − | 55.0045i | − | 3.31690i | ||||||
\(276\) | 4.68366 | − | 0.835917i | 0.281923 | − | 0.0503163i | ||||
\(277\) | 20.9831 | 1.26075 | 0.630377 | − | 0.776289i | \(-0.282900\pi\) | ||||
0.630377 | + | 0.776289i | \(0.282900\pi\) | |||||||
\(278\) | −1.54523 | − | 5.26258i | −0.0926770 | − | 0.315629i | ||||
\(279\) | −11.0460 | + | 9.57143i | −0.661308 | + | 0.573027i | ||||
\(280\) | 2.83857 | + | 9.64240i | 0.169637 | + | 0.576244i | ||||
\(281\) | 25.8041 | − | 3.71006i | 1.53934 | − | 0.221324i | 0.680186 | − | 0.733039i | \(-0.261899\pi\) |
0.859155 | + | 0.511716i | \(0.170990\pi\) | |||||||
\(282\) | −0.904276 | − | 0.581143i | −0.0538488 | − | 0.0346065i | ||||
\(283\) | −6.52483 | + | 14.2874i | −0.387861 | + | 0.849297i | 0.610498 | + | 0.792018i | \(0.290970\pi\) |
−0.998358 | + | 0.0572784i | \(0.981758\pi\) | |||||||
\(284\) | 6.19116 | − | 7.14498i | 0.367378 | − | 0.423977i | ||||
\(285\) | 24.5887 | + | 3.53532i | 1.45651 | + | 0.209415i | ||||
\(286\) | 1.38339 | + | 3.02920i | 0.0818015 | + | 0.179120i | ||||
\(287\) | −6.49500 | − | 4.16768i | −0.383387 | − | 0.246011i | ||||
\(288\) | −1.93419 | − | 0.567930i | −0.113973 | − | 0.0334656i | ||||
\(289\) | 10.0502 | + | 22.0069i | 0.591190 | + | 1.29453i | ||||
\(290\) | 0.418512 | − | 2.91081i | 0.0245759 | − | 0.170929i | ||||
\(291\) | 0.927581 | + | 0.803754i | 0.0543758 | + | 0.0471169i | ||||
\(292\) | 3.58595 | + | 1.63765i | 0.209852 | + | 0.0958362i | ||||
\(293\) | 11.4731 | + | 7.37332i | 0.670267 | + | 0.430754i | 0.831022 | − | 0.556240i | \(-0.187757\pi\) |
−0.160755 | + | 0.986994i | \(0.551393\pi\) | |||||||
\(294\) | −6.32078 | − | 2.87596i | −0.368635 | − | 0.167729i | ||||
\(295\) | 20.3079 | + | 31.5997i | 1.18237 | + | 1.83981i | ||||
\(296\) | 0.714949 | − | 0.619507i | 0.0415556 | − | 0.0360081i | ||||
\(297\) | −27.8388 | + | 8.17420i | −1.61537 | + | 0.474315i | ||||
\(298\) | − | 10.3819i | − | 0.601406i | ||||||
\(299\) | −2.12946 | − | 1.72266i | −0.123150 | − | 0.0996238i | ||||
\(300\) | 9.35829i | 0.540301i | ||||||||
\(301\) | −4.44523 | + | 0.00309974i | −0.256219 | + | 0.000178666i | ||||
\(302\) | 2.83385 | + | 3.27044i | 0.163070 | + | 0.188193i | ||||
\(303\) | 7.75929 | − | 4.98659i | 0.445760 | − | 0.286472i | ||||
\(304\) | −0.938026 | − | 6.52411i | −0.0537995 | − | 0.374184i | ||||
\(305\) | 23.3689 | + | 15.0183i | 1.33810 | + | 0.859946i | ||||
\(306\) | −5.37469 | + | 11.7689i | −0.307250 | + | 0.672784i | ||||
\(307\) | −6.19928 | − | 5.37171i | −0.353812 | − | 0.306579i | 0.459761 | − | 0.888043i | \(-0.347935\pi\) |
−0.813573 | + | 0.581463i | \(0.802480\pi\) | |||||||
\(308\) | 6.39883 | − | 14.0374i | 0.364607 | − | 0.799854i | ||||
\(309\) | 0.229611 | − | 0.104860i | 0.0130621 | − | 0.00596528i | ||||
\(310\) | 7.76051 | − | 26.4299i | 0.440768 | − | 1.50112i | ||||
\(311\) | −4.61428 | + | 15.7148i | −0.261652 | + | 0.891104i | 0.718945 | + | 0.695067i | \(0.244625\pi\) |
−0.980597 | + | 0.196037i | \(0.937193\pi\) | |||||||
\(312\) | −0.235365 | − | 0.515378i | −0.0133249 | − | 0.0291775i | ||||
\(313\) | 3.31457 | − | 23.0533i | 0.187351 | − | 1.30305i | −0.651483 | − | 0.758664i | \(-0.725853\pi\) |
0.838833 | − | 0.544388i | \(-0.183238\pi\) | |||||||
\(314\) | −5.24869 | + | 6.05731i | −0.296201 | + | 0.341834i | ||||
\(315\) | 15.3225 | + | 13.2584i | 0.863327 | + | 0.747024i | ||||
\(316\) | −2.12717 | + | 3.30995i | −0.119663 | + | 0.186199i | ||||
\(317\) | −1.08894 | − | 7.57372i | −0.0611608 | − | 0.425383i | −0.997280 | − | 0.0737008i | \(-0.976519\pi\) |
0.936120 | − | 0.351682i | \(-0.114390\pi\) | |||||||
\(318\) | 3.47272 | − | 2.23178i | 0.194740 | − | 0.125152i | ||||
\(319\) | −3.41103 | + | 2.95567i | −0.190981 | + | 0.165486i | ||||
\(320\) | 3.64523 | − | 1.07034i | 0.203775 | − | 0.0598337i | ||||
\(321\) | −4.62856 | −0.258341 | ||||||||
\(322\) | 0.437835 | + | 12.6810i | 0.0243996 | + | 0.706686i | ||||
\(323\) | −42.3036 | −2.35384 | ||||||||
\(324\) | −1.06618 | + | 0.313059i | −0.0592324 | + | 0.0173922i | ||||
\(325\) | 4.07167 | − | 3.52812i | 0.225856 | − | 0.195705i | ||||
\(326\) | −15.2033 | + | 9.77055i | −0.842031 | + | 0.541140i | ||||
\(327\) | 1.85928 | + | 12.9316i | 0.102818 | + | 0.715117i | ||||
\(328\) | −1.57695 | + | 2.45378i | −0.0870724 | + | 0.135487i | ||||
\(329\) | 1.87582 | − | 2.16786i | 0.103417 | − | 0.119518i | ||||
\(330\) | 14.3912 | − | 16.6083i | 0.792208 | − | 0.914257i | ||||
\(331\) | 3.89365 | − | 27.0809i | 0.214014 | − | 1.48850i | −0.545554 | − | 0.838075i | \(-0.683681\pi\) |
0.759569 | − | 0.650427i | \(-0.225410\pi\) | |||||||
\(332\) | −4.04417 | − | 8.85550i | −0.221953 | − | 0.486009i | ||||
\(333\) | 0.537269 | − | 1.82977i | 0.0294422 | − | 0.100271i | ||||
\(334\) | 0.673707 | − | 2.29443i | 0.0368636 | − | 0.125546i | ||||
\(335\) | 21.5693 | − | 9.85037i | 1.17846 | − | 0.538183i | ||||
\(336\) | −1.08868 | + | 2.38827i | −0.0593921 | + | 0.130291i | ||||
\(337\) | 1.33812 | + | 1.15949i | 0.0728921 | + | 0.0631614i | 0.690545 | − | 0.723290i | \(-0.257371\pi\) |
−0.617653 | + | 0.786451i | \(0.711916\pi\) | |||||||
\(338\) | 5.26489 | − | 11.5285i | 0.286373 | − | 0.627068i | ||||
\(339\) | 7.28213 | + | 4.67994i | 0.395511 | + | 0.254179i | ||||
\(340\) | −3.47014 | − | 24.1353i | −0.188195 | − | 1.30892i | ||||
\(341\) | −35.5656 | + | 22.8566i | −1.92598 | + | 1.23775i | ||||
\(342\) | −8.70105 | − | 10.0415i | −0.470499 | − | 0.542985i | ||||
\(343\) | 9.98019 | − | 15.6011i | 0.538880 | − | 0.842383i | ||||
\(344\) | 1.68014i | 0.0905870i | ||||||||
\(345\) | −4.50306 | + | 17.5051i | −0.242436 | + | 0.942442i | ||||
\(346\) | − | 21.5480i | − | 1.15843i | ||||||
\(347\) | −27.2587 | + | 8.00388i | −1.46332 | + | 0.429671i | −0.913923 | − | 0.405888i | \(-0.866962\pi\) |
−0.549401 | + | 0.835559i | \(0.685144\pi\) | |||||||
\(348\) | 0.580341 | − | 0.502868i | 0.0311095 | − | 0.0269566i | ||||
\(349\) | −10.4042 | − | 16.1893i | −0.556926 | − | 0.866593i | 0.442621 | − | 0.896709i | \(-0.354049\pi\) |
−0.999546 | + | 0.0301158i | \(0.990412\pi\) | |||||||
\(350\) | −24.7067 | − | 3.53471i | −1.32063 | − | 0.188938i | ||||
\(351\) | −2.39073 | − | 1.53643i | −0.127608 | − | 0.0820086i | ||||
\(352\) | −5.30394 | − | 2.42223i | −0.282701 | − | 0.129105i | ||||
\(353\) | −7.72950 | − | 6.69765i | −0.411400 | − | 0.356480i | 0.424437 | − | 0.905457i | \(-0.360472\pi\) |
−0.835837 | + | 0.548977i | \(0.815017\pi\) | |||||||
\(354\) | −1.39590 | + | 9.70868i | −0.0741911 | + | 0.516011i | ||||
\(355\) | 14.9207 | + | 32.6717i | 0.791908 | + | 1.73404i | ||||
\(356\) | −8.40918 | − | 2.46916i | −0.445686 | − | 0.130865i | ||||
\(357\) | 14.1780 | + | 9.09767i | 0.750378 | + | 0.481500i | ||||
\(358\) | −0.438387 | − | 0.959933i | −0.0231695 | − | 0.0507340i | ||||
\(359\) | 14.4707 | + | 2.08058i | 0.763737 | + | 0.109809i | 0.513166 | − | 0.858290i | \(-0.328473\pi\) |
0.250571 | + | 0.968098i | \(0.419382\pi\) | |||||||
\(360\) | 5.01522 | − | 5.78788i | 0.264326 | − | 0.305048i | ||||
\(361\) | 10.1544 | − | 22.2350i | 0.534441 | − | 1.17026i | ||||
\(362\) | −19.2138 | − | 12.3480i | −1.00986 | − | 0.648995i | ||||
\(363\) | −22.5838 | + | 3.24705i | −1.18534 | + | 0.170426i | ||||
\(364\) | 1.44954 | − | 0.426722i | 0.0759766 | − | 0.0223663i | ||||
\(365\) | −11.3188 | + | 9.80779i | −0.592453 | + | 0.513363i | ||||
\(366\) | 2.04360 | + | 6.95987i | 0.106821 | + | 0.363798i | ||||
\(367\) | 2.95380 | 0.154187 | 0.0770936 | − | 0.997024i | \(-0.475436\pi\) | ||||
0.0770936 | + | 0.997024i | \(0.475436\pi\) | |||||||
\(368\) | 4.79309 | − | 0.162144i | 0.249857 | − | 0.00845232i | ||||
\(369\) | 5.87985i | 0.306093i | ||||||||
\(370\) | 1.01255 | + | 3.44844i | 0.0526401 | + | 0.179276i | ||||
\(371\) | 4.58042 | + | 10.0112i | 0.237804 | + | 0.519758i | ||||
\(372\) | 6.05101 | − | 3.88875i | 0.313730 | − | 0.201622i | ||||
\(373\) | 4.51001 | − | 0.648442i | 0.233519 | − | 0.0335750i | −0.0245615 | − | 0.999698i | \(-0.507819\pi\) |
0.258081 | + | 0.966123i | \(0.416910\pi\) | |||||||
\(374\) | −20.2327 | + | 31.4828i | −1.04621 | + | 1.62793i | ||||
\(375\) | −15.1989 | − | 6.94109i | −0.784866 | − | 0.358436i | ||||
\(376\) | −0.818881 | − | 0.709565i | −0.0422306 | − | 0.0365930i | ||||
\(377\) | −0.437583 | − | 0.0629149i | −0.0225366 | − | 0.00324028i | ||||
\(378\) | 1.88268 | + | 13.0298i | 0.0968344 | + | 0.670180i | ||||
\(379\) | −7.67694 | + | 26.1453i | −0.394338 | + | 1.34299i | 0.488192 | + | 0.872736i | \(0.337657\pi\) |
−0.882530 | + | 0.470256i | \(0.844162\pi\) | |||||||
\(380\) | 24.0265 | + | 7.05481i | 1.23253 | + | 0.361904i | ||||
\(381\) | 14.9996 | − | 6.85008i | 0.768452 | − | 0.350940i | ||||
\(382\) | 1.20601 | + | 0.173399i | 0.0617050 | + | 0.00887184i | ||||
\(383\) | 16.8114 | − | 19.4014i | 0.859021 | − | 0.991363i | −0.140978 | − | 0.990013i | \(-0.545025\pi\) |
0.999999 | − | 0.00135042i | \(-0.000429851\pi\) | |||||||
\(384\) | 0.902395 | + | 0.412110i | 0.0460501 | + | 0.0210304i | ||||
\(385\) | 38.4117 | + | 44.2671i | 1.95764 | + | 2.25606i | ||||
\(386\) | −0.797611 | − | 5.54751i | −0.0405973 | − | 0.282361i | ||||
\(387\) | 1.83110 | + | 2.84925i | 0.0930801 | + | 0.144835i | ||||
\(388\) | 0.810200 | + | 0.935021i | 0.0411317 | + | 0.0474685i | ||||
\(389\) | 10.3066 | + | 35.1009i | 0.522563 | + | 1.77969i | 0.620176 | + | 0.784463i | \(0.287061\pi\) |
−0.0976123 | + | 0.995225i | \(0.531121\pi\) | |||||||
\(390\) | 2.15250 | 0.108996 | ||||||||
\(391\) | 3.34795 | − | 30.5980i | 0.169313 | − | 1.54741i | ||||
\(392\) | −5.89405 | − | 3.77627i | −0.297694 | − | 0.190730i | ||||
\(393\) | −19.9881 | + | 5.86905i | −1.00827 | + | 0.296054i | ||||
\(394\) | 5.03048 | + | 5.80549i | 0.253432 | + | 0.292476i | ||||
\(395\) | −8.08139 | − | 12.5749i | −0.406619 | − | 0.632712i | ||||
\(396\) | −11.6345 | + | 1.67279i | −0.584656 | + | 0.0840608i | ||||
\(397\) | −3.32613 | + | 5.17556i | −0.166934 | + | 0.259754i | −0.914634 | − | 0.404282i | \(-0.867521\pi\) |
0.747701 | + | 0.664036i | \(0.231158\pi\) | |||||||
\(398\) | −6.98196 | + | 15.2884i | −0.349974 | + | 0.766336i | ||||
\(399\) | −14.5471 | + | 9.36320i | −0.728266 | + | 0.468746i | ||||
\(400\) | −1.34250 | + | 9.33732i | −0.0671252 | + | 0.466866i | ||||
\(401\) | 5.17703 | − | 2.36427i | 0.258528 | − | 0.118066i | −0.281935 | − | 0.959434i | \(-0.590976\pi\) |
0.540463 | + | 0.841368i | \(0.318249\pi\) | |||||||
\(402\) | 5.94100 | + | 1.74444i | 0.296310 | + | 0.0870045i | ||||
\(403\) | −3.97320 | − | 1.16664i | −0.197919 | − | 0.0581144i | ||||
\(404\) | 8.45726 | − | 3.86230i | 0.420765 | − | 0.192157i | ||||
\(405\) | 0.600791 | − | 4.17859i | 0.0298535 | − | 0.207636i | ||||
\(406\) | 1.10842 | + | 1.72209i | 0.0550098 | + | 0.0854658i | ||||
\(407\) | 2.29146 | − | 5.01760i | 0.113583 | − | 0.248713i | ||||
\(408\) | 3.44233 | − | 5.35637i | 0.170421 | − | 0.265180i | ||||
\(409\) | 7.31977 | − | 1.05242i | 0.361940 | − | 0.0520390i | 0.0410537 | − | 0.999157i | \(-0.486929\pi\) |
0.320886 | + | 0.947118i | \(0.396019\pi\) | |||||||
\(410\) | −5.99102 | − | 9.32221i | −0.295875 | − | 0.460391i | ||||
\(411\) | −7.11459 | − | 8.21067i | −0.350937 | − | 0.405003i | ||||
\(412\) | 0.244140 | − | 0.0716859i | 0.0120279 | − | 0.00353171i | ||||
\(413\) | −25.1045 | − | 7.35234i | −1.23531 | − | 0.361785i | ||||
\(414\) | 7.95160 | − | 5.49872i | 0.390800 | − | 0.270247i | ||||
\(415\) | 36.9855 | 1.81554 | ||||||||
\(416\) | −0.160904 | − | 0.547988i | −0.00788895 | − | 0.0268673i | ||||
\(417\) | 3.56317 | + | 4.11212i | 0.174489 | + | 0.201371i | ||||
\(418\) | −20.7781 | − | 32.3314i | −1.01629 | − | 1.58138i | ||||
\(419\) | −4.96776 | − | 34.5515i | −0.242691 | − | 1.68795i | −0.638501 | − | 0.769621i | \(-0.720445\pi\) |
0.395810 | − | 0.918332i | \(-0.370464\pi\) | |||||||
\(420\) | −6.53524 | − | 7.53145i | −0.318887 | − | 0.367497i | ||||
\(421\) | −25.3129 | − | 11.5600i | −1.23367 | − | 0.563400i | −0.311526 | − | 0.950238i | \(-0.600840\pi\) |
−0.922148 | + | 0.386838i | \(0.873567\pi\) | |||||||
\(422\) | −6.21756 | + | 7.17545i | −0.302666 | + | 0.349295i | ||||
\(423\) | −2.16201 | − | 0.310850i | −0.105121 | − | 0.0151141i | ||||
\(424\) | 3.78510 | − | 1.72860i | 0.183821 | − | 0.0839481i | ||||
\(425\) | 58.0925 | + | 17.0575i | 2.81790 | + | 0.827411i | ||||
\(426\) | −2.64235 | + | 8.99903i | −0.128022 | + | 0.436004i | ||||
\(427\) | −19.1466 | + | 2.76649i | −0.926567 | + | 0.133880i | ||||
\(428\) | −4.61819 | − | 0.663995i | −0.223229 | − | 0.0320954i | ||||
\(429\) | −2.49672 | − | 2.16342i | −0.120543 | − | 0.104451i | ||||
\(430\) | −5.80623 | − | 2.65162i | −0.280001 | − | 0.127872i | ||||
\(431\) | −8.13667 | + | 12.6609i | −0.391929 | + | 0.609854i | −0.980010 | − | 0.198948i | \(-0.936247\pi\) |
0.588081 | + | 0.808802i | \(0.299884\pi\) | |||||||
\(432\) | 4.92529 | − | 0.708150i | 0.236968 | − | 0.0340709i | ||||
\(433\) | 11.4178 | − | 7.33775i | 0.548702 | − | 0.352630i | −0.236732 | − | 0.971575i | \(-0.576076\pi\) |
0.785434 | + | 0.618945i | \(0.212440\pi\) | |||||||
\(434\) | 7.98112 | + | 17.4440i | 0.383106 | + | 0.837339i | ||||
\(435\) | 0.821912 | + | 2.79918i | 0.0394077 | + | 0.134210i | ||||
\(436\) | 13.1693i | 0.630696i | ||||||||
\(437\) | 27.1549 | + | 16.1810i | 1.29899 | + | 0.774041i | ||||
\(438\) | −3.91084 | −0.186867 | ||||||||
\(439\) | −6.48573 | − | 22.0884i | −0.309547 | − | 1.05422i | −0.956510 | − | 0.291699i | \(-0.905779\pi\) |
0.646963 | − | 0.762522i | \(-0.276039\pi\) | |||||||
\(440\) | 16.7415 | − | 14.5066i | 0.798120 | − | 0.691575i | ||||
\(441\) | −14.1109 | + | 0.0196796i | −0.671949 | + | 0.000937124i | ||||
\(442\) | −3.62826 | + | 0.521665i | −0.172579 | + | 0.0248131i | ||||
\(443\) | −13.6113 | − | 8.74747i | −0.646694 | − | 0.415605i | 0.175763 | − | 0.984432i | \(-0.443761\pi\) |
−0.822457 | + | 0.568828i | \(0.807397\pi\) | |||||||
\(444\) | −0.389861 | + | 0.853677i | −0.0185020 | + | 0.0405137i | ||||
\(445\) | 21.8044 | − | 25.1636i | 1.03363 | − | 1.19287i | ||||
\(446\) | −11.6803 | − | 1.67937i | −0.553078 | − | 0.0795206i | ||||
\(447\) | 4.27847 | + | 9.36855i | 0.202365 | + | 0.443117i | ||||
\(448\) | −1.42885 | + | 2.22674i | −0.0675068 | + | 0.105204i | ||||
\(449\) | 10.3241 | + | 3.03142i | 0.487223 | + | 0.143061i | 0.516112 | − | 0.856521i | \(-0.327379\pi\) |
−0.0288893 | + | 0.999583i | \(0.509197\pi\) | |||||||
\(450\) | 7.89961 | + | 17.2977i | 0.372391 | + | 0.815423i | ||||
\(451\) | −2.42042 | + | 16.8344i | −0.113973 | + | 0.792702i | ||||
\(452\) | 6.59445 | + | 5.71412i | 0.310177 | + | 0.268770i | ||||
\(453\) | −3.90504 | − | 1.78337i | −0.183475 | − | 0.0837900i | ||||
\(454\) | −4.09178 | − | 2.62963i | −0.192037 | − | 0.123415i | ||||
\(455\) | −0.813018 | + | 5.68279i | −0.0381149 | + | 0.266413i | ||||
\(456\) | 3.53512 | + | 5.50076i | 0.165547 | + | 0.257597i | ||||
\(457\) | −15.1773 | + | 13.1512i | −0.709965 | + | 0.615188i | −0.933107 | − | 0.359598i | \(-0.882914\pi\) |
0.223142 | + | 0.974786i | \(0.428368\pi\) | |||||||
\(458\) | 1.54598 | − | 0.453942i | 0.0722390 | − | 0.0212113i | ||||
\(459\) | − | 31.9366i | − | 1.49067i | ||||||
\(460\) | −7.00418 | + | 16.8199i | −0.326572 | + | 0.784231i | ||||
\(461\) | − | 25.1889i | − | 1.17317i | −0.809889 | − | 0.586583i | \(-0.800473\pi\) | ||
0.809889 | − | 0.586583i | \(-0.199527\pi\) | |||||||
\(462\) | 0.0106719 | + | 15.3043i | 0.000496503 | + | 0.712019i | ||||
\(463\) | 3.41896 | + | 3.94568i | 0.158892 | + | 0.183372i | 0.829614 | − | 0.558338i | \(-0.188561\pi\) |
−0.670721 | + | 0.741710i | \(0.734015\pi\) | |||||||
\(464\) | 0.651180 | − | 0.418488i | 0.0302303 | − | 0.0194278i | ||||
\(465\) | 3.88897 | + | 27.0484i | 0.180347 | + | 1.25434i | ||||
\(466\) | −10.3365 | − | 6.64286i | −0.478829 | − | 0.307725i | ||||
\(467\) | −12.3983 | + | 27.1485i | −0.573725 | + | 1.25628i | 0.371065 | + | 0.928607i | \(0.378993\pi\) |
−0.944790 | + | 0.327676i | \(0.893735\pi\) | |||||||
\(468\) | −0.870091 | − | 0.753938i | −0.0402200 | − | 0.0348508i | ||||
\(469\) | −6.84943 | + | 15.0259i | −0.316277 | + | 0.693831i | ||||
\(470\) | 3.74449 | − | 1.71005i | 0.172720 | − | 0.0788787i | ||||
\(471\) | 2.24011 | − | 7.62912i | 0.103219 | − | 0.351531i | ||||
\(472\) | −2.78554 | + | 9.48668i | −0.128215 | + | 0.436660i | ||||
\(473\) | 4.06968 | + | 8.91136i | 0.187124 | + | 0.409745i | ||||
\(474\) | 0.555488 | − | 3.86351i | 0.0255144 | − | 0.177457i | ||||
\(475\) | −40.7173 | + | 46.9903i | −1.86824 | + | 2.15606i | ||||
\(476\) | 12.8411 | + | 11.1112i | 0.588571 | + | 0.509281i | ||||
\(477\) | 4.53501 | − | 7.05662i | 0.207644 | − | 0.323100i | ||||
\(478\) | −0.845376 | − | 5.87972i | −0.0386666 | − | 0.268932i | ||||
\(479\) | −21.9680 | + | 14.1180i | −1.00374 | + | 0.645066i | −0.935766 | − | 0.352621i | \(-0.885290\pi\) |
−0.0679759 | + | 0.997687i | \(0.521654\pi\) | |||||||
\(480\) | −2.84834 | + | 2.46810i | −0.130008 | + | 0.112653i | ||||
\(481\) | 0.518403 | − | 0.152217i | 0.0236372 | − | 0.00694050i | ||||
\(482\) | 27.0203 | 1.23074 | ||||||||
\(483\) | −5.62107 | − | 11.2629i | −0.255768 | − | 0.512478i | ||||
\(484\) | −22.9990 | −1.04541 | ||||||||
\(485\) | −4.50992 | + | 1.32423i | −0.204785 | + | 0.0601302i | ||||
\(486\) | 12.1148 | − | 10.4975i | 0.549539 | − | 0.476178i | ||||
\(487\) | −12.7759 | + | 8.21055i | −0.578929 | + | 0.372055i | −0.797093 | − | 0.603857i | \(-0.793630\pi\) |
0.218163 | + | 0.975912i | \(0.429993\pi\) | |||||||
\(488\) | 1.04059 | + | 7.23745i | 0.0471052 | + | 0.327624i | ||||
\(489\) | 9.69281 | − | 15.0823i | 0.438324 | − | 0.682045i | ||||
\(490\) | 22.3521 | − | 14.4089i | 1.00977 | − | 0.650929i | ||||
\(491\) | 18.6896 | − | 21.5689i | 0.843448 | − | 0.973391i | −0.156450 | − | 0.987686i | \(-0.550005\pi\) |
0.999898 | + | 0.0142950i | \(0.00455041\pi\) | |||||||
\(492\) | 0.411803 | − | 2.86415i | 0.0185655 | − | 0.129126i | ||||
\(493\) | −2.06381 | − | 4.51911i | −0.0929492 | − | 0.203530i | ||||
\(494\) | 1.06055 | − | 3.61190i | 0.0477163 | − | 0.162507i | ||||
\(495\) | 12.5809 | − | 42.8466i | 0.565469 | − | 1.92581i | ||||
\(496\) | 6.59532 | − | 3.01198i | 0.296139 | − | 0.135242i | ||||
\(497\) | −22.7602 | − | 10.3751i | −1.02093 | − | 0.465385i | ||||
\(498\) | 7.29888 | + | 6.32452i | 0.327071 | + | 0.283408i | ||||
\(499\) | 13.0982 | − | 28.6810i | 0.586355 | − | 1.28394i | −0.351265 | − | 0.936276i | \(-0.614248\pi\) |
0.937620 | − | 0.347662i | \(-0.113024\pi\) | |||||||
\(500\) | −14.1691 | − | 9.10591i | −0.633660 | − | 0.407229i | ||||
\(501\) | 0.337610 | + | 2.34813i | 0.0150833 | + | 0.104907i | ||||
\(502\) | −1.57002 | + | 1.00899i | −0.0700732 | + | 0.0450333i | ||||
\(503\) | 11.8342 | + | 13.6574i | 0.527661 | + | 0.608953i | 0.955532 | − | 0.294887i | \(-0.0952819\pi\) |
−0.427872 | + | 0.903840i | \(0.640736\pi\) | |||||||
\(504\) | 0.00371910 | + | 5.33343i | 0.000165662 | + | 0.237570i | ||||
\(505\) | 35.3222i | 1.57182i | ||||||||
\(506\) | 25.0295 | − | 12.4700i | 1.11270 | − | 0.554357i | ||||
\(507\) | 12.5730i | 0.558386i | ||||||||
\(508\) | 15.9487 | − | 4.68295i | 0.707608 | − | 0.207772i | ||||
\(509\) | 17.7760 | − | 15.4030i | 0.787905 | − | 0.682724i | −0.164898 | − | 0.986311i | \(-0.552730\pi\) |
0.952804 | + | 0.303587i | \(0.0981842\pi\) | |||||||
\(510\) | 13.0778 | + | 20.3495i | 0.579097 | + | 0.901092i | ||||
\(511\) | 1.47716 | − | 10.3250i | 0.0653456 | − | 0.456749i | ||||
\(512\) | 0.841254 | + | 0.540641i | 0.0371785 | + | 0.0238932i | ||||
\(513\) | 29.8336 | + | 13.6246i | 1.31719 | + | 0.601539i | ||||
\(514\) | 18.8374 | + | 16.3227i | 0.830882 | + | 0.719963i | ||||
\(515\) | −0.137572 | + | 0.956835i | −0.00606215 | + | 0.0421632i | ||||
\(516\) | −0.692402 | − | 1.51615i | −0.0304813 | − | 0.0667447i | ||||
\(517\) | −6.06203 | − | 1.77997i | −0.266608 | − | 0.0782830i | ||||
\(518\) | −2.10653 | − | 1.35171i | −0.0925556 | − | 0.0593907i | ||||
\(519\) | 8.88014 | + | 19.4448i | 0.389795 | + | 0.853532i | ||||
\(520\) | 2.14768 | + | 0.308790i | 0.0941819 | + | 0.0135413i | ||||
\(521\) | −10.6569 | + | 12.2987i | −0.466888 | + | 0.538817i | −0.939543 | − | 0.342430i | \(-0.888750\pi\) |
0.472656 | + | 0.881247i | \(0.343295\pi\) | |||||||
\(522\) | 0.648208 | − | 1.41938i | 0.0283713 | − | 0.0621245i | ||||
\(523\) | −1.65997 | − | 1.06680i | −0.0725855 | − | 0.0466478i | 0.503845 | − | 0.863794i | \(-0.331918\pi\) |
−0.576430 | + | 0.817146i | \(0.695555\pi\) | |||||||
\(524\) | −20.7853 | + | 2.98848i | −0.908011 | + | 0.130552i | ||||
\(525\) | 23.7519 | − | 6.99218i | 1.03662 | − | 0.305164i | ||||
\(526\) | −0.555535 | + | 0.481374i | −0.0242225 | + | 0.0209889i | ||||
\(527\) | −13.1105 | − | 44.6503i | −0.571103 | − | 1.94500i | ||||
\(528\) | 5.78447 | 0.251737 | ||||||||
\(529\) | −13.8527 | + | 18.3604i | −0.602290 | + | 0.798277i | ||||
\(530\) | 15.8087i | 0.686684i | ||||||||
\(531\) | 5.61523 | + | 19.1237i | 0.243680 | + | 0.829899i | ||||
\(532\) | −15.8577 | + | 7.25535i | −0.687520 | + | 0.314559i | ||||
\(533\) | −1.40141 | + | 0.900630i | −0.0607017 | + | 0.0390106i | ||||
\(534\) | 8.60597 | − | 1.23735i | 0.372417 | − | 0.0535454i | ||||
\(535\) | 9.58312 | − | 14.9116i | 0.414314 | − | 0.644686i | ||||
\(536\) | 5.67744 | + | 2.59280i | 0.245228 | + | 0.111992i | ||||
\(537\) | 0.791196 | + | 0.685575i | 0.0341426 | + | 0.0295848i | ||||
\(538\) | −5.91350 | − | 0.850233i | −0.254949 | − | 0.0366561i | ||||
\(539\) | −40.4087 | − | 5.75238i | −1.74052 | − | 0.247773i | ||||
\(540\) | −5.32593 | + | 18.1385i | −0.229192 | + | 0.780555i | ||||
\(541\) | 10.6683 | + | 3.13249i | 0.458665 | + | 0.134676i | 0.502899 | − | 0.864345i | \(-0.332267\pi\) |
−0.0442342 | + | 0.999021i | \(0.514085\pi\) | |||||||
\(542\) | −2.74333 | + | 1.25284i | −0.117836 | + | 0.0538139i | ||||
\(543\) | 22.4272 | + | 3.22454i | 0.962442 | + | 0.138378i | ||||
\(544\) | 4.20302 | − | 4.85055i | 0.180203 | − | 0.207966i | ||||
\(545\) | −45.5106 | − | 20.7840i | −1.94946 | − | 0.890288i | ||||
\(546\) | −1.13220 | + | 0.982442i | −0.0484538 | + | 0.0420446i | ||||
\(547\) | 3.37559 | + | 23.4778i | 0.144330 | + | 1.00384i | 0.925291 | + | 0.379258i | \(0.123821\pi\) |
−0.780961 | + | 0.624580i | \(0.785270\pi\) | |||||||
\(548\) | −5.92078 | − | 9.21291i | −0.252923 | − | 0.393556i | ||||
\(549\) | 9.65240 | + | 11.1395i | 0.411955 | + | 0.475421i | ||||
\(550\) | 15.4966 | + | 52.7765i | 0.660776 | + | 2.25040i | ||||
\(551\) | 5.10198 | 0.217352 | ||||||||
\(552\) | −4.25844 | + | 2.12160i | −0.181251 | + | 0.0903012i | ||||
\(553\) | 9.99019 | + | 2.92582i | 0.424826 | + | 0.124418i | ||||
\(554\) | −20.1332 | + | 5.91163i | −0.855376 | + | 0.251161i | ||||
\(555\) | −2.33486 | − | 2.69457i | −0.0991092 | − | 0.114378i | ||||
\(556\) | 2.96528 | + | 4.61407i | 0.125756 | + | 0.195680i | ||||
\(557\) | −28.4847 | + | 4.09548i | −1.20693 | + | 0.173531i | −0.716274 | − | 0.697819i | \(-0.754154\pi\) |
−0.490661 | + | 0.871350i | \(0.663245\pi\) | |||||||
\(558\) | 7.90200 | − | 12.2957i | 0.334518 | − | 0.520520i | ||||
\(559\) | −0.398618 | + | 0.872851i | −0.0168597 | + | 0.0369177i | ||||
\(560\) | −5.44017 | − | 8.45210i | −0.229889 | − | 0.357166i | ||||
\(561\) | 5.28356 | − | 36.7480i | 0.223072 | − | 1.55150i | ||||
\(562\) | −23.7136 | + | 10.8296i | −1.00030 | + | 0.456820i | ||||
\(563\) | −14.6511 | − | 4.30196i | −0.617471 | − | 0.181306i | −0.0419862 | − | 0.999118i | \(-0.513369\pi\) |
−0.575485 | + | 0.817812i | \(0.695187\pi\) | |||||||
\(564\) | 1.03137 | + | 0.302838i | 0.0434286 | + | 0.0127518i | ||||
\(565\) | −30.1543 | + | 13.7710i | −1.26860 | + | 0.579351i | ||||
\(566\) | 2.23531 | − | 15.5469i | 0.0939569 | − | 0.653485i | ||||
\(567\) | 1.59118 | + | 2.47213i | 0.0668232 | + | 0.103820i | ||||
\(568\) | −3.92740 | + | 8.59981i | −0.164790 | + | 0.360840i | ||||
\(569\) | −21.0945 | + | 32.8237i | −0.884327 | + | 1.37604i | 0.0419195 | + | 0.999121i | \(0.486653\pi\) |
−0.926246 | + | 0.376919i | \(0.876984\pi\) | |||||||
\(570\) | −24.5887 | + | 3.53532i | −1.02991 | + | 0.148078i | ||||
\(571\) | −5.44510 | − | 8.47274i | −0.227870 | − | 0.354573i | 0.708426 | − | 0.705786i | \(-0.249406\pi\) |
−0.936296 | + | 0.351213i | \(0.885769\pi\) | |||||||
\(572\) | −2.18077 | − | 2.51675i | −0.0911828 | − | 0.105231i | ||||
\(573\) | −1.15976 | + | 0.340536i | −0.0484497 | + | 0.0142261i | ||||
\(574\) | 7.40607 | + | 2.16901i | 0.309124 | + | 0.0905328i | ||||
\(575\) | −30.7654 | − | 33.1695i | −1.28301 | − | 1.38326i | ||||
\(576\) | 2.01585 | 0.0839937 | ||||||||
\(577\) | 4.52384 | + | 15.4068i | 0.188330 | + | 0.641393i | 0.998477 | + | 0.0551663i | \(0.0175689\pi\) |
−0.810147 | + | 0.586226i | \(0.800613\pi\) | |||||||
\(578\) | −15.8432 | − | 18.2840i | −0.658990 | − | 0.760515i | ||||
\(579\) | 3.00594 | + | 4.67734i | 0.124923 | + | 0.194384i | ||||
\(580\) | 0.418512 | + | 2.91081i | 0.0173778 | + | 0.120865i | ||||
\(581\) | −19.4541 | + | 16.8809i | −0.807093 | + | 0.700336i | ||||
\(582\) | −1.11645 | − | 0.509866i | −0.0462784 | − | 0.0211346i | ||||
\(583\) | 15.8889 | − | 18.3368i | 0.658051 | − | 0.759431i | ||||
\(584\) | −3.90208 | − | 0.561034i | −0.161469 | − | 0.0232158i | ||||
\(585\) | 3.97865 | − | 1.81699i | 0.164497 | − | 0.0751233i | ||||
\(586\) | −13.0857 | − | 3.84230i | −0.540565 | − | 0.158724i | ||||
\(587\) | 3.14648 | − | 10.7159i | 0.129869 | − | 0.442294i | −0.868725 | − | 0.495294i | \(-0.835060\pi\) |
0.998595 | + | 0.0530002i | \(0.0168784\pi\) | |||||||
\(588\) | 6.87500 | + | 0.978691i | 0.283520 | + | 0.0403605i | ||||
\(589\) | 47.3033 | + | 6.80119i | 1.94910 | + | 0.280238i | ||||
\(590\) | −28.3879 | − | 24.5983i | −1.16871 | − | 1.01270i | ||||
\(591\) | −6.93198 | − | 3.16573i | −0.285144 | − | 0.130221i | ||||
\(592\) | −0.511453 | + | 0.795837i | −0.0210206 | + | 0.0327087i | ||||
\(593\) | 30.0848 | − | 4.32554i | 1.23543 | − | 0.177629i | 0.506516 | − | 0.862230i | \(-0.330933\pi\) |
0.728917 | + | 0.684602i | \(0.240024\pi\) | |||||||
\(594\) | 24.4082 | − | 15.6862i | 1.00148 | − | 0.643612i | ||||
\(595\) | −58.6641 | + | 26.8405i | −2.40500 | + | 1.10035i | ||||
\(596\) | 2.92491 | + | 9.96133i | 0.119809 | + | 0.408032i | ||||
\(597\) | − | 16.6735i | − | 0.682399i | ||||||
\(598\) | 2.52853 | + | 1.05294i | 0.103399 | + | 0.0430578i | ||||
\(599\) | 3.58737 | 0.146576 | 0.0732880 | − | 0.997311i | \(-0.476651\pi\) | ||||
0.0732880 | + | 0.997311i | \(0.476651\pi\) | |||||||
\(600\) | −2.63653 | − | 8.97921i | −0.107636 | − | 0.366575i | ||||
\(601\) | −34.8119 | + | 30.1646i | −1.42001 | + | 1.23044i | −0.485624 | + | 0.874168i | \(0.661407\pi\) |
−0.934382 | + | 0.356274i | \(0.884047\pi\) | |||||||
\(602\) | 4.26429 | − | 1.25534i | 0.173800 | − | 0.0511638i | ||||
\(603\) | 12.4538 | − | 1.79059i | 0.507158 | − | 0.0729183i | ||||
\(604\) | −3.64045 | − | 2.33958i | −0.148128 | − | 0.0951960i | ||||
\(605\) | 36.2973 | − | 79.4800i | 1.47569 | − | 3.23132i | ||||
\(606\) | −6.04010 | + | 6.97064i | −0.245362 | + | 0.283163i | ||||
\(607\) | −12.3843 | − | 1.78059i | −0.502663 | − | 0.0722721i | −0.113681 | − | 0.993517i | \(-0.536264\pi\) |
−0.388982 | + | 0.921245i | \(0.627173\pi\) | |||||||
\(608\) | 2.73808 | + | 5.99557i | 0.111044 | + | 0.243152i | ||||
\(609\) | −1.70992 | − | 1.09721i | −0.0692894 | − | 0.0444614i | ||||
\(610\) | −26.6535 | − | 7.82617i | −1.07917 | − | 0.316872i | ||||
\(611\) | −0.257072 | − | 0.562908i | −0.0104000 | − | 0.0227728i | ||||
\(612\) | 1.84129 | − | 12.8064i | 0.0744295 | − | 0.517669i | ||||
\(613\) | −5.49093 | − | 4.75792i | −0.221777 | − | 0.192171i | 0.536885 | − | 0.843655i | \(-0.319601\pi\) |
−0.758662 | + | 0.651485i | \(0.774146\pi\) | |||||||
\(614\) | 7.46155 | + | 3.40758i | 0.301124 | + | 0.137519i | ||||
\(615\) | 9.24804 | + | 5.94335i | 0.372917 | + | 0.239659i | ||||
\(616\) | −2.18484 | + | 15.2715i | −0.0880299 | + | 0.615307i | ||||
\(617\) | −3.03799 | − | 4.72721i | −0.122305 | − | 0.190310i | 0.774702 | − | 0.632326i | \(-0.217900\pi\) |
−0.897007 | + | 0.442016i | \(0.854263\pi\) | |||||||
\(618\) | −0.190768 | + | 0.165301i | −0.00767382 | + | 0.00664940i | ||||
\(619\) | 21.7789 | − | 6.39487i | 0.875369 | − | 0.257032i | 0.186972 | − | 0.982365i | \(-0.440133\pi\) |
0.688398 | + | 0.725334i | \(0.258314\pi\) | |||||||
\(620\) | 27.5457i | 1.10626i | ||||||||
\(621\) | −12.2156 | + | 20.5002i | −0.490196 | + | 0.822645i | ||||
\(622\) | − | 16.3782i | − | 0.656707i | ||||||
\(623\) | 0.0161693 | + | 23.1879i | 0.000647810 | + | 0.929003i | ||||
\(624\) | 0.371030 | + | 0.428191i | 0.0148531 | + | 0.0171414i | ||||
\(625\) | 14.1509 | − | 9.09424i | 0.566037 | − | 0.363770i | ||||
\(626\) | 3.31457 | + | 23.0533i | 0.132477 | + | 0.921397i | ||||
\(627\) | 32.0742 | + | 20.6128i | 1.28092 | + | 0.823197i | ||||
\(628\) | 3.32954 | − | 7.29067i | 0.132863 | − | 0.290929i | ||||
\(629\) | 4.58868 | + | 3.97612i | 0.182963 | + | 0.158538i | ||||
\(630\) | −18.4372 | − | 8.40444i | −0.734555 | − | 0.334841i | ||||
\(631\) | 10.3870 | − | 4.74357i | 0.413499 | − | 0.188839i | −0.197793 | − | 0.980244i | \(-0.563377\pi\) |
0.611292 | + | 0.791405i | \(0.290650\pi\) | |||||||
\(632\) | 1.10849 | − | 3.77516i | 0.0440933 | − | 0.150168i | ||||
\(633\) | 2.65362 | − | 9.03741i | 0.105472 | − | 0.359205i | ||||
\(634\) | 3.17859 | + | 6.96014i | 0.126238 | + | 0.276423i | ||||
\(635\) | −8.98704 | + | 62.5062i | −0.356640 | + | 2.48048i | ||||
\(636\) | −2.70328 | + | 3.11976i | −0.107192 | + | 0.123706i | ||||
\(637\) | −2.16609 | − | 3.36019i | −0.0858237 | − | 0.133136i | ||||
\(638\) | 2.44015 | − | 3.79694i | 0.0966063 | − | 0.150322i | ||||
\(639\) | 2.71226 | + | 18.8642i | 0.107295 | + | 0.746255i | ||||
\(640\) | −3.19603 | + | 2.05396i | −0.126334 | + | 0.0811900i | ||||
\(641\) | 9.36098 | − | 8.11133i | 0.369736 | − | 0.320378i | −0.450098 | − | 0.892979i | \(-0.648611\pi\) |
0.819834 | + | 0.572601i | \(0.194065\pi\) | |||||||
\(642\) | 4.44107 | − | 1.30402i | 0.175275 | − | 0.0514654i | ||||
\(643\) | 36.3882 | 1.43501 | 0.717505 | − | 0.696554i | \(-0.245284\pi\) | ||||
0.717505 | + | 0.696554i | \(0.245284\pi\) | |||||||
\(644\) | −3.99276 | − | 12.0440i | −0.157337 | − | 0.474600i | ||||
\(645\) | 6.33227 | 0.249333 | ||||||||
\(646\) | 40.5900 | − | 11.9183i | 1.59699 | − | 0.468920i | ||||
\(647\) | 19.2715 | − | 16.6989i | 0.757642 | − | 0.656500i | −0.187831 | − | 0.982201i | \(-0.560146\pi\) |
0.945473 | + | 0.325701i | \(0.105600\pi\) | |||||||
\(648\) | 0.934796 | − | 0.600757i | 0.0367222 | − | 0.0236000i | ||||
\(649\) | 8.20457 | + | 57.0640i | 0.322057 | + | 2.23996i | ||||
\(650\) | −2.91275 | + | 4.53233i | −0.114247 | + | 0.177773i | ||||
\(651\) | −14.3910 | − | 12.4523i | −0.564027 | − | 0.488044i | ||||
\(652\) | 11.8347 | − | 13.6580i | 0.463484 | − | 0.534890i | ||||
\(653\) | 3.50287 | − | 24.3630i | 0.137078 | − | 0.953398i | −0.798931 | − | 0.601422i | \(-0.794601\pi\) |
0.936009 | − | 0.351976i | \(-0.114490\pi\) | |||||||
\(654\) | −5.42720 | − | 11.8839i | −0.212220 | − | 0.464698i | ||||
\(655\) | 22.4761 | − | 76.5464i | 0.878212 | − | 2.99092i | ||||
\(656\) | 0.821761 | − | 2.79866i | 0.0320844 | − | 0.109269i | ||||
\(657\) | −7.22874 | + | 3.30126i | −0.282020 | + | 0.128794i | ||||
\(658\) | −1.18908 | + | 2.60853i | −0.0463551 | + | 0.101691i | ||||
\(659\) | −22.4764 | − | 19.4759i | −0.875557 | − | 0.758675i | 0.0960245 | − | 0.995379i | \(-0.469387\pi\) |
−0.971582 | + | 0.236704i | \(0.923933\pi\) | |||||||
\(660\) | −9.12913 | + | 19.9900i | −0.355351 | + | 0.778110i | ||||
\(661\) | −15.5461 | − | 9.99088i | −0.604674 | − | 0.388600i | 0.202183 | − | 0.979348i | \(-0.435197\pi\) |
−0.806856 | + | 0.590748i | \(0.798833\pi\) | |||||||
\(662\) | 3.89365 | + | 27.0809i | 0.151331 | + | 1.05253i | ||||
\(663\) | 3.05914 | − | 1.96599i | 0.118807 | − | 0.0763528i | ||||
\(664\) | 6.37524 | + | 7.35742i | 0.247407 | + | 0.285523i | ||||
\(665\) | −0.0461985 | − | 66.2517i | −0.00179150 | − | 2.56913i | ||||
\(666\) | 1.90702i | 0.0738955i | ||||||||
\(667\) | −0.403776 | + | 3.69023i | −0.0156343 | + | 0.142886i | ||||
\(668\) | 2.39130i | 0.0925221i | ||||||||
\(669\) | 11.2323 | − | 3.29811i | 0.434267 | − | 0.127512i | ||||
\(670\) | −17.9204 | + | 15.5281i | −0.692326 | + | 0.599904i | ||||
\(671\) | 23.0500 | + | 35.8665i | 0.889834 | + | 1.38461i | ||||
\(672\) | 0.371722 | − | 2.59825i | 0.0143395 | − | 0.100229i | ||||
\(673\) | 5.13028 | + | 3.29703i | 0.197758 | + | 0.127091i | 0.635772 | − | 0.771877i | \(-0.280682\pi\) |
−0.438014 | + | 0.898968i | \(0.644318\pi\) | |||||||
\(674\) | −1.61058 | − | 0.735529i | −0.0620374 | − | 0.0283315i | ||||
\(675\) | −35.4747 | − | 30.7390i | −1.36542 | − | 1.18314i | ||||
\(676\) | −1.80367 | + | 12.5448i | −0.0693720 | + | 0.482493i | ||||
\(677\) | −20.7527 | − | 45.4420i | −0.797591 | − | 1.74648i | −0.653516 | − | 0.756913i | \(-0.726707\pi\) |
−0.144075 | − | 0.989567i | \(-0.546021\pi\) | |||||||
\(678\) | −8.30564 | − | 2.43876i | −0.318976 | − | 0.0936599i | ||||
\(679\) | 1.76779 | − | 2.75495i | 0.0678414 | − | 0.105725i | ||||
\(680\) | 10.1293 | + | 22.1800i | 0.388440 | + | 0.850565i | ||||
\(681\) | 4.77610 | + | 0.686700i | 0.183021 | + | 0.0263144i | ||||
\(682\) | 27.6855 | − | 31.9507i | 1.06013 | − | 1.22346i | ||||
\(683\) | 11.7106 | − | 25.6427i | 0.448095 | − | 0.981192i | −0.541946 | − | 0.840413i | \(-0.682312\pi\) |
0.990041 | − | 0.140778i | \(-0.0449605\pi\) | |||||||
\(684\) | 11.1776 | + | 7.18342i | 0.427387 | + | 0.274665i | ||||
\(685\) | 41.1823 | − | 5.92112i | 1.57349 | − | 0.226234i | ||||
\(686\) | −5.18057 | + | 17.7809i | −0.197795 | + | 0.678879i | ||||
\(687\) | −1.20801 | + | 1.04675i | −0.0460886 | + | 0.0399360i | ||||
\(688\) | −0.473350 | − | 1.61208i | −0.0180463 | − | 0.0614600i | ||||
\(689\) | 2.37652 | 0.0905380 | ||||||||
\(690\) | −0.611103 | − | 18.0647i | −0.0232643 | − | 0.687710i | ||||
\(691\) | − | 11.3335i | − | 0.431146i | −0.976488 | − | 0.215573i | \(-0.930838\pi\) | ||
0.976488 | − | 0.215573i | \(-0.0691620\pi\) | |||||||
\(692\) | 6.07077 | + | 20.6751i | 0.230776 | + | 0.785951i | ||||
\(693\) | 12.9385 | + | 28.2792i | 0.491494 | + | 1.07424i | ||||
\(694\) | 23.8996 | − | 15.3593i | 0.907216 | − | 0.583032i | ||||
\(695\) | −20.6252 | + | 2.96545i | −0.782357 | + | 0.112486i | ||||
\(696\) | −0.415158 | + | 0.645999i | −0.0157365 | + | 0.0244865i | ||||
\(697\) | −17.0289 | − | 7.77685i | −0.645016 | − | 0.294569i | ||||
\(698\) | 14.5438 | + | 12.6023i | 0.550492 | + | 0.477004i | ||||
\(699\) | 12.0652 | + | 1.73471i | 0.456347 | + | 0.0656128i | ||||
\(700\) | 24.7018 | − | 3.56916i | 0.933639 | − | 0.134902i | ||||
\(701\) | 1.30455 | − | 4.44290i | 0.0492723 | − | 0.167806i | −0.931181 | − | 0.364556i | \(-0.881221\pi\) |
0.980454 | + | 0.196750i | \(0.0630388\pi\) | |||||||
\(702\) | 2.72675 | + | 0.800647i | 0.102915 | + | 0.0302185i | ||||
\(703\) | −5.67189 | + | 2.59026i | −0.213919 | + | 0.0976936i | ||||
\(704\) | 5.77151 | + | 0.829819i | 0.217522 | + | 0.0312750i | ||||
\(705\) | −2.67428 | + | 3.08628i | −0.100719 | + | 0.116236i | ||||
\(706\) | 9.30335 | + | 4.24870i | 0.350136 | + | 0.159902i | ||||
\(707\) | −16.1217 | − | 18.5793i | −0.606320 | − | 0.698745i | ||||
\(708\) | −1.39590 | − | 9.70868i | −0.0524610 | − | 0.364875i | ||||
\(709\) | −10.4525 | − | 16.2645i | −0.392553 | − | 0.610825i | 0.587580 | − | 0.809166i | \(-0.300081\pi\) |
−0.980133 | + | 0.198341i | \(0.936445\pi\) | |||||||
\(710\) | −23.5210 | − | 27.1447i | −0.882727 | − | 1.01872i | ||||
\(711\) | −2.23454 | − | 7.61016i | −0.0838020 | − | 0.285403i | ||||
\(712\) | 8.76420 | 0.328452 | ||||||||
\(713\) | −8.66289 | + | 33.6760i | −0.324428 | + | 1.26117i | ||||
\(714\) | −16.1668 | − | 4.73475i | −0.605026 | − | 0.177194i | ||||
\(715\) | 12.1391 | − | 3.56437i | 0.453977 | − | 0.133300i | ||||
\(716\) | 0.691074 | + | 0.797541i | 0.0258266 | + | 0.0298055i | ||||
\(717\) | 3.18595 | + | 4.95744i | 0.118982 | + | 0.185139i | ||||
\(718\) | −14.4707 | + | 2.08058i | −0.540043 | + | 0.0776465i | ||||
\(719\) | 0.510708 | − | 0.794678i | 0.0190462 | − | 0.0296365i | −0.831600 | − | 0.555375i | \(-0.812575\pi\) |
0.850646 | + | 0.525739i | \(0.176211\pi\) | |||||||
\(720\) | −3.18144 | + | 6.96638i | −0.118565 | + | 0.259622i | ||||
\(721\) | −0.364356 | − | 0.566080i | −0.0135693 | − | 0.0210819i | ||||
\(722\) | −3.47874 | + | 24.1952i | −0.129465 | + | 0.900450i | ||||
\(723\) | −24.3830 | + | 11.1353i | −0.906813 | + | 0.414128i | ||||
\(724\) | 21.9143 | + | 6.43463i | 0.814440 | + | 0.239141i | ||||
\(725\) | −7.00618 | − | 2.05720i | −0.260203 | − | 0.0764025i | ||||
\(726\) | 20.7542 | − | 9.47811i | 0.770259 | − | 0.351766i | ||||
\(727\) | 3.17097 | − | 22.0546i | 0.117605 | − | 0.817959i | −0.842576 | − | 0.538578i | \(-0.818962\pi\) |
0.960180 | − | 0.279381i | \(-0.0901292\pi\) | |||||||
\(728\) | −1.27060 | + | 0.817820i | −0.0470917 | + | 0.0303104i | ||||
\(729\) | −5.22138 | + | 11.4332i | −0.193384 | + | 0.423453i | ||||
\(730\) | 8.09713 | − | 12.5994i | 0.299688 | − | 0.466324i | ||||
\(731\) | −10.6737 | + | 1.53465i | −0.394781 | + | 0.0567610i | ||||
\(732\) | −3.92165 | − | 6.10220i | −0.144948 | − | 0.225544i | ||||
\(733\) | −23.8166 | − | 27.4858i | −0.879686 | − | 1.01521i | −0.999748 | − | 0.0224457i | \(-0.992855\pi\) |
0.120062 | − | 0.992766i | \(-0.461691\pi\) | |||||||
\(734\) | −2.83415 | + | 0.832183i | −0.104611 | + | 0.0307164i | ||||
\(735\) | −14.2324 | + | 22.2141i | −0.524969 | + | 0.819378i | ||||
\(736\) | −4.55325 | + | 1.50595i | −0.167835 | + | 0.0555099i | ||||
\(737\) | 36.3932 | 1.34056 | ||||||||
\(738\) | −1.65655 | − | 5.64168i | −0.0609783 | − | 0.207673i | ||||
\(739\) | −32.7453 | − | 37.7901i | −1.20456 | − | 1.39013i | −0.898994 | − | 0.437960i | \(-0.855701\pi\) |
−0.305562 | − | 0.952172i | \(-0.598844\pi\) | |||||||
\(740\) | −1.94307 | − | 3.02348i | −0.0714288 | − | 0.111145i | ||||
\(741\) | 0.531465 | + | 3.69642i | 0.0195239 | + | 0.135791i | ||||
\(742\) | −7.21538 | − | 8.31526i | −0.264885 | − | 0.305263i | ||||
\(743\) | 32.8796 | + | 15.0156i | 1.20624 | + | 0.550869i | 0.914093 | − | 0.405506i | \(-0.132904\pi\) |
0.292143 | + | 0.956375i | \(0.405632\pi\) | |||||||
\(744\) | −4.71031 | + | 5.43599i | −0.172688 | + | 0.199293i | ||||
\(745\) | −39.0406 | − | 5.61318i | −1.43034 | − | 0.205651i | ||||
\(746\) | −4.14464 | + | 1.89279i | −0.151746 | + | 0.0693000i | ||||
\(747\) | 18.8299 | + | 5.52895i | 0.688949 | + | 0.202294i | ||||
\(748\) | 10.5435 | − | 35.9077i | 0.385507 | − | 1.31292i | ||||
\(749\) | 1.76529 | + | 12.2173i | 0.0645021 | + | 0.446412i | ||||
\(750\) | 16.5387 | + | 2.37791i | 0.603909 | + | 0.0868291i | ||||
\(751\) | 4.84583 | + | 4.19893i | 0.176827 | + | 0.153221i | 0.738777 | − | 0.673949i | \(-0.235403\pi\) |
−0.561951 | + | 0.827171i | \(0.689949\pi\) | |||||||
\(752\) | 0.985618 | + | 0.450117i | 0.0359418 | + | 0.0164141i | ||||
\(753\) | 1.00096 | − | 1.55752i | 0.0364770 | − | 0.0567593i | ||||
\(754\) | 0.437583 | − | 0.0629149i | 0.0159358 | − | 0.00229122i | ||||
\(755\) | 13.8305 | − | 8.88834i | 0.503344 | − | 0.323480i | ||||
\(756\) | −5.47733 | − | 11.9716i | −0.199209 | − | 0.435402i | ||||
\(757\) | −6.86795 | − | 23.3901i | −0.249620 | − | 0.850127i | −0.985012 | − | 0.172485i | \(-0.944820\pi\) |
0.735392 | − | 0.677642i | \(-0.236998\pi\) | |||||||
\(758\) | − | 27.2490i | − | 0.989730i | ||||||
\(759\) | −17.4475 | + | 21.5677i | −0.633305 | + | 0.782859i | ||||
\(760\) | −25.0408 | −0.908325 | ||||||||
\(761\) | −10.9303 | − | 37.2252i | −0.396223 | − | 1.34941i | −0.880313 | − | 0.474393i | \(-0.842667\pi\) |
0.484090 | − | 0.875018i | \(-0.339151\pi\) | |||||||
\(762\) | −12.4621 | + | 10.7985i | −0.451455 | + | 0.391188i | ||||
\(763\) | 33.4245 | − | 9.83964i | 1.21005 | − | 0.356219i | ||||
\(764\) | −1.20601 | + | 0.173399i | −0.0436320 | + | 0.00627334i | ||||
\(765\) | 41.3505 | + | 26.5744i | 1.49503 | + | 0.960799i | ||||
\(766\) | −10.6644 | + | 23.3518i | −0.385320 | + | 0.843734i | ||||
\(767\) | −3.69786 | + | 4.26756i | −0.133522 | + | 0.154093i | ||||
\(768\) | −0.981946 | − | 0.141183i | −0.0354329 | − | 0.00509449i | ||||
\(769\) | 3.81828 | + | 8.36087i | 0.137691 | + | 0.301501i | 0.965899 | − | 0.258920i | \(-0.0833667\pi\) |
−0.828208 | + | 0.560421i | \(0.810639\pi\) | |||||||
\(770\) | −49.3272 | − | 31.6521i | −1.77763 | − | 1.14066i | ||||
\(771\) | −23.7255 | − | 6.96644i | −0.854453 | − | 0.250890i | ||||
\(772\) | 2.32822 | + | 5.09808i | 0.0837943 | + | 0.183484i | ||||
\(773\) | −1.69546 | + | 11.7922i | −0.0609816 | + | 0.424136i | 0.936346 | + | 0.351078i | \(0.114185\pi\) |
−0.997328 | + | 0.0730580i | \(0.976724\pi\) | |||||||
\(774\) | −2.55965 | − | 2.21795i | −0.0920048 | − | 0.0797227i | ||||
\(775\) | −62.2159 | − | 28.4130i | −2.23486 | − | 1.02063i | ||||
\(776\) | −1.04081 | − | 0.668886i | −0.0373628 | − | 0.0240116i | ||||
\(777\) | 2.45797 | + | 0.351654i | 0.0881793 | + | 0.0126155i | ||||
\(778\) | −19.7781 | − | 30.7754i | −0.709081 | − | 1.10335i | ||||
\(779\) | 14.5295 | − | 12.5899i | 0.520574 | − | 0.451080i | ||||
\(780\) | −2.06531 | + | 0.606429i | −0.0739499 | + | 0.0217137i | ||||
\(781\) | 55.1259i | 1.97256i | ||||||||
\(782\) | 5.40811 | + | 30.3018i | 0.193393 | + | 1.08359i | ||||
\(783\) | 3.85167i | 0.137648i | ||||||||
\(784\) | 6.71919 | + | 1.96276i | 0.239971 | + | 0.0700985i | ||||
\(785\) | 19.9404 | + | 23.0125i | 0.711704 | + | 0.821350i | ||||
\(786\) | 17.5250 | − | 11.2626i | 0.625095 | − | 0.401724i | ||||
\(787\) | −1.86115 | − | 12.9446i | −0.0663429 | − | 0.461425i | −0.995730 | − | 0.0923175i | \(-0.970573\pi\) |
0.929387 | − | 0.369107i | \(-0.120337\pi\) | |||||||
\(788\) | −6.46231 | − | 4.15307i | −0.230210 | − | 0.147947i | ||||
\(789\) | 0.302933 | − | 0.663331i | 0.0107847 | − | 0.0236152i | ||||
\(790\) | 11.2968 | + | 9.78873i | 0.401922 | + | 0.348267i | ||||
\(791\) | 9.57564 | − | 21.0065i | 0.340471 | − | 0.746905i | ||||
\(792\) | 10.6919 | − | 4.88285i | 0.379922 | − | 0.173504i | ||||
\(793\) | −1.17651 | + | 4.00682i | −0.0417790 | + | 0.142286i | ||||
\(794\) | 1.73328 | − | 5.90300i | 0.0615117 | − | 0.209490i | ||||
\(795\) | −6.51491 | − | 14.2657i | −0.231060 | − | 0.505951i | ||||
\(796\) | 2.39191 | − | 16.6361i | 0.0847791 | − | 0.589651i | ||||
\(797\) | −33.0560 | + | 38.1486i | −1.17090 | + | 1.35129i | −0.246837 | + | 0.969057i | \(0.579391\pi\) |
−0.924065 | + | 0.382236i | \(0.875154\pi\) | |||||||
\(798\) | 11.3199 | − | 13.0823i | 0.400721 | − | 0.463109i | ||||
\(799\) | 3.75980 | − | 5.85036i | 0.133012 | − | 0.206971i | ||||
\(800\) | −1.34250 | − | 9.33732i | −0.0474647 | − | 0.330124i | ||||
\(801\) | 14.8627 | − | 9.55166i | 0.525147 | − | 0.337491i | ||||
\(802\) | −4.30123 | + | 3.72704i | −0.151882 | + | 0.131606i | ||||
\(803\) | −22.0553 | + | 6.47603i | −0.778316 | + | 0.228534i | ||||
\(804\) | −6.19181 | −0.218368 | ||||||||
\(805\) | 47.9231 | + | 5.20981i | 1.68907 | + | 0.183622i | ||||
\(806\) | 4.14094 | 0.145858 | ||||||||
\(807\) | 5.68670 | − | 1.66977i | 0.200181 | − | 0.0587785i | ||||
\(808\) | −7.02655 | + | 6.08854i | −0.247193 | + | 0.214194i | ||||
\(809\) | 28.4118 | − | 18.2591i | 0.998904 | − | 0.641957i | 0.0644057 | − | 0.997924i | \(-0.479485\pi\) |
0.934498 | + | 0.355967i | \(0.115848\pi\) | |||||||
\(810\) | 0.600791 | + | 4.17859i | 0.0211096 | + | 0.146821i | ||||
\(811\) | 12.1156 | − | 18.8522i | 0.425435 | − | 0.661990i | −0.560684 | − | 0.828030i | \(-0.689462\pi\) |
0.986119 | + | 0.166040i | \(0.0530981\pi\) | |||||||
\(812\) | −1.54869 | − | 1.34005i | −0.0543482 | − | 0.0470267i | ||||
\(813\) | 1.95926 | − | 2.26111i | 0.0687142 | − | 0.0793004i | ||||
\(814\) | −0.785019 | + | 5.45993i | −0.0275149 | + | 0.191370i | ||||
\(815\) | 28.5217 | + | 62.4538i | 0.999072 | + | 2.18766i | ||||
\(816\) | −1.79383 | + | 6.10922i | −0.0627965 | + | 0.213865i | ||||
\(817\) | 3.11995 | − | 10.6256i | 0.109153 | − | 0.371741i | ||||
\(818\) | −6.72677 | + | 3.07201i | −0.235196 | + | 0.107410i | ||||
\(819\) | −1.26344 | + | 2.77166i | −0.0441481 | + | 0.0968496i | ||||
\(820\) | 8.37471 | + | 7.25673i | 0.292458 | + | 0.253416i | ||||
\(821\) | −15.2084 | + | 33.3018i | −0.530778 | + | 1.16224i | 0.434417 | + | 0.900712i | \(0.356954\pi\) |
−0.965195 | + | 0.261530i | \(0.915773\pi\) | |||||||
\(822\) | 9.13961 | + | 5.87367i | 0.318781 | + | 0.204868i | ||||
\(823\) | −0.866322 | − | 6.02540i | −0.0301981 | − | 0.210032i | 0.969136 | − | 0.246528i | \(-0.0792897\pi\) |
−0.999334 | + | 0.0364954i | \(0.988381\pi\) | |||||||
\(824\) | −0.214054 | + | 0.137564i | −0.00745693 | + | 0.00479228i | ||||
\(825\) | −35.7337 | − | 41.2389i | −1.24409 | − | 1.43575i | ||||
\(826\) | 26.1590 | − | 0.0182411i | 0.910189 | − | 0.000634690i | ||||
\(827\) | − | 29.6147i | − | 1.02980i | −0.857249 | − | 0.514902i | \(-0.827828\pi\) | ||
0.857249 | − | 0.514902i | \(-0.172172\pi\) | |||||||
\(828\) | −6.08034 | + | 7.51621i | −0.211306 | + | 0.261206i | ||||
\(829\) | 18.9070i | 0.656667i | 0.944562 | + | 0.328333i | \(0.106487\pi\) | ||||
−0.944562 | + | 0.328333i | \(0.893513\pi\) | |||||||
\(830\) | −35.4873 | + | 10.4200i | −1.23178 | + | 0.361684i | ||||
\(831\) | 15.7318 | − | 13.6317i | 0.545731 | − | 0.472878i | ||||
\(832\) | 0.308772 | + | 0.480458i | 0.0107047 | + | 0.0166569i | ||||
\(833\) | 18.6065 | − | 40.8934i | 0.644677 | − | 1.41687i | ||||
\(834\) | −4.57736 | − | 2.94169i | −0.158501 | − | 0.101862i | ||||
\(835\) | −8.26386 | − | 3.77398i | −0.285983 | − | 0.130604i | ||||
\(836\) | 29.0453 | + | 25.1679i | 1.00455 | + | 0.870449i | ||||
\(837\) | −5.13447 | + | 35.7110i | −0.177473 | + | 1.23435i | ||||
\(838\) | 14.5008 | + | 31.7524i | 0.500923 | + | 1.09687i | ||||
\(839\) | −8.34190 | − | 2.44940i | −0.287995 | − | 0.0845628i | 0.134545 | − | 0.990908i | \(-0.457043\pi\) |
−0.422539 | + | 0.906345i | \(0.638861\pi\) | |||||||
\(840\) | 8.39237 | + | 5.38518i | 0.289564 | + | 0.185807i | ||||
\(841\) | −11.7981 | − | 25.8343i | −0.406832 | − | 0.890838i | ||||
\(842\) | 27.5444 | + | 3.96028i | 0.949241 | + | 0.136480i | ||||
\(843\) | 16.9360 | − | 19.5452i | 0.583307 | − | 0.673172i | ||||
\(844\) | 3.94415 | − | 8.63648i | 0.135763 | − | 0.297280i | ||||
\(845\) | −40.5059 | − | 26.0315i | −1.39344 | − | 0.895512i | ||||
\(846\) | 2.16201 | − | 0.310850i | 0.0743315 | − | 0.0106873i | ||||
\(847\) | 17.1840 | + | 58.3728i | 0.590450 | + | 2.00571i | ||||
\(848\) | −3.14478 | + | 2.72496i | −0.107992 | + | 0.0935756i | ||||
\(849\) | 4.38990 | + | 14.9506i | 0.150661 | + | 0.513104i | ||||
\(850\) | −60.5450 | −2.07668 | ||||||||
\(851\) | −1.42464 | − | 4.30744i | −0.0488362 | − | 0.147657i | ||||
\(852\) | − | 9.37894i | − | 0.321317i | ||||||
\(853\) | −7.81346 | − | 26.6102i | −0.267528 | − | 0.911116i | −0.978213 | − | 0.207605i | \(-0.933433\pi\) |
0.710685 | − | 0.703510i | \(-0.248385\pi\) | |||||||
\(854\) | 17.5916 | − | 8.04864i | 0.601972 | − | 0.275419i | ||||
\(855\) | −42.4652 | + | 27.2907i | −1.45228 | + | 0.933323i | ||||
\(856\) | 4.61819 | − | 0.663995i | 0.157846 | − | 0.0226949i | ||||
\(857\) | 1.99484 | − | 3.10403i | 0.0681425 | − | 0.106032i | −0.805510 | − | 0.592582i | \(-0.798109\pi\) |
0.873653 | + | 0.486550i | \(0.161745\pi\) | |||||||
\(858\) | 3.00510 | + | 1.37238i | 0.102592 | + | 0.0468523i | ||||
\(859\) | 14.5879 | + | 12.6405i | 0.497732 | + | 0.431287i | 0.867203 | − | 0.497955i | \(-0.165916\pi\) |
−0.369471 | + | 0.929242i | \(0.620461\pi\) | |||||||
\(860\) | 6.31809 | + | 0.908404i | 0.215445 | + | 0.0309763i | ||||
\(861\) | −7.57708 | + | 1.09481i | −0.258226 | + | 0.0373111i | ||||
\(862\) | 4.24009 | − | 14.4404i | 0.144418 | − | 0.491842i | ||||
\(863\) | −25.9267 | − | 7.61276i | −0.882555 | − | 0.259141i | −0.191108 | − | 0.981569i | \(-0.561208\pi\) |
−0.691447 | + | 0.722428i | \(0.743026\pi\) | |||||||
\(864\) | −4.52628 | + | 2.06708i | −0.153987 | + | 0.0703235i | ||||
\(865\) | −81.0302 | − | 11.6504i | −2.75511 | − | 0.396125i | ||||
\(866\) | −8.88798 | + | 10.2573i | −0.302026 | + | 0.348556i | ||||
\(867\) | 21.8318 | + | 9.97027i | 0.741448 | + | 0.338608i | ||||
\(868\) | −12.5724 | − | 14.4889i | −0.426734 | − | 0.491784i | ||||
\(869\) | −3.26495 | − | 22.7083i | −0.110756 | − | 0.770325i | ||||
\(870\) | −1.57724 | − | 2.45423i | −0.0534734 | − | 0.0832062i | ||||
\(871\) | 2.33434 | + | 2.69398i | 0.0790962 | + | 0.0912819i | ||||
\(872\) | −3.71022 | − | 12.6359i | −0.125644 | − | 0.427904i | ||||
\(873\) | −2.49403 | −0.0844100 | ||||||||
\(874\) | −30.6136 | − | 7.87513i | −1.03552 | − | 0.266380i | ||||
\(875\) | −12.5247 | + | 42.7656i | −0.423413 | + | 1.44574i | ||||
\(876\) | 3.75242 | − | 1.10181i | 0.126783 | − | 0.0372267i | ||||
\(877\) | 9.87263 | + | 11.3936i | 0.333375 | + | 0.384735i | 0.897545 | − | 0.440924i | \(-0.145349\pi\) |
−0.564170 | + | 0.825659i | \(0.690804\pi\) | |||||||
\(878\) | 12.4460 | + | 19.3664i | 0.420033 | + | 0.653585i | ||||
\(879\) | 13.3919 | − | 1.92546i | 0.451698 | − | 0.0649443i | ||||
\(880\) | −11.9764 | + | 18.6356i | −0.403723 | + | 0.628206i | ||||
\(881\) | 0.890992 | − | 1.95100i | 0.0300183 | − | 0.0657309i | −0.894029 | − | 0.448009i | \(-0.852133\pi\) |
0.924047 | + | 0.382278i | \(0.124860\pi\) | |||||||
\(882\) | 13.5338 | − | 3.99439i | 0.455707 | − | 0.134498i | ||||
\(883\) | −6.57803 | + | 45.7512i | −0.221368 | + | 1.53965i | 0.511502 | + | 0.859282i | \(0.329089\pi\) |
−0.732870 | + | 0.680369i | \(0.761820\pi\) | |||||||
\(884\) | 3.33432 | − | 1.52273i | 0.112145 | − | 0.0512151i | ||||
\(885\) | 35.7543 | + | 10.4984i | 1.20187 | + | 0.352900i | ||||
\(886\) | 15.5244 | + | 4.55838i | 0.521553 | + | 0.153142i | ||||
\(887\) | 9.96206 | − | 4.54952i | 0.334493 | − | 0.152758i | −0.241087 | − | 0.970504i | \(-0.577504\pi\) |
0.575580 | + | 0.817746i | \(0.304776\pi\) | |||||||
\(888\) | 0.133561 | − | 0.928934i | 0.00448200 | − | 0.0311730i | ||||
\(889\) | −23.8019 | − | 36.9797i | −0.798290 | − | 1.24026i | ||||
\(890\) | −13.8318 | + | 30.2873i | −0.463642 | + | 1.01523i | ||||
\(891\) | 3.50293 | − | 5.45067i | 0.117353 | − | 0.182604i | ||||
\(892\) | 11.6803 | − | 1.67937i | 0.391085 | − | 0.0562296i | ||||
\(893\) | 3.86115 | + | 6.00807i | 0.129208 | + | 0.201052i | ||||
\(894\) | −6.74459 | − | 7.78367i | −0.225573 | − | 0.260325i | ||||
\(895\) | −3.84681 | + | 1.12952i | −0.128585 | + | 0.0377559i | ||||
\(896\) | 0.743624 | − | 2.53910i | 0.0248427 | − | 0.0848253i | ||||
\(897\) | −2.71566 | + | 0.0918670i | −0.0906732 | + | 0.00306735i | ||||
\(898\) | −10.7599 | −0.359063 | ||||||||
\(899\) | 1.58118 | + | 5.38500i | 0.0527353 | + | 0.179600i | ||||
\(900\) | −12.4530 | − | 14.3715i | −0.415099 | − | 0.479049i | ||||
\(901\) | 14.4389 | + | 22.4673i | 0.481029 | + | 0.748495i | ||||
\(902\) | −2.42042 | − | 16.8344i | −0.0805913 | − | 0.560525i | ||||
\(903\) | −3.33074 | + | 2.89017i | −0.110840 | + | 0.0961788i | ||||
\(904\) | −7.93718 | − | 3.62479i | −0.263987 | − | 0.120559i | ||||
\(905\) | −56.8223 | + | 65.5765i | −1.88884 | + | 2.17984i | ||||
\(906\) | 4.24929 | + | 0.610955i | 0.141173 | + | 0.0202976i | ||||
\(907\) | 31.5740 | − | 14.4194i | 1.04840 | − | 0.478787i | 0.184698 | − | 0.982795i | \(-0.440869\pi\) |
0.863699 | + | 0.504008i | \(0.168142\pi\) | |||||||
\(908\) | 4.66689 | + | 1.37032i | 0.154876 | + | 0.0454758i | ||||
\(909\) | −5.28031 | + | 17.9831i | −0.175137 | + | 0.596461i | ||||
\(910\) | −0.820942 | − | 5.68165i | −0.0272140 | − | 0.188345i | ||||
\(911\) | −21.7467 | − | 3.12671i | −0.720502 | − | 0.103593i | −0.227697 | − | 0.973732i | \(-0.573119\pi\) |
−0.492805 | + | 0.870140i | \(0.664029\pi\) | |||||||
\(912\) | −4.94167 | − | 4.28198i | −0.163635 | − | 0.141790i | ||||
\(913\) | 51.6352 | + | 23.5810i | 1.70888 | + | 0.780418i | ||||
\(914\) | 10.8574 | − | 16.8944i | 0.359131 | − | 0.558819i | ||||
\(915\) | 27.2772 | − | 3.92187i | 0.901756 | − | 0.129653i | ||||
\(916\) | −1.35547 | + | 0.871107i | −0.0447860 | + | 0.0287822i | ||||
\(917\) | 23.1150 | + | 50.5215i | 0.763324 | + | 1.66837i | ||||
\(918\) | 8.99757 | + | 30.6429i | 0.296964 | + | 1.01137i | ||||
\(919\) | − | 12.6873i | − | 0.418515i | −0.977861 | − | 0.209257i | \(-0.932895\pi\) | ||
0.977861 | − | 0.209257i | \(-0.0671046\pi\) | |||||||
\(920\) | 1.98175 | − | 18.1119i | 0.0653365 | − | 0.597130i | ||||
\(921\) | −8.13756 | −0.268142 | ||||||||
\(922\) | 7.09654 | + | 24.1686i | 0.233712 | + | 0.795951i | ||||
\(923\) | −4.08066 | + | 3.53591i | −0.134316 | + | 0.116386i | ||||
\(924\) | −4.32195 | − | 14.6813i | −0.142182 | − | 0.482981i | ||||
\(925\) | 8.83323 | − | 1.27003i | 0.290435 | − | 0.0417582i | ||||
\(926\) | −4.39209 | − | 2.82263i | −0.144333 | − | 0.0927572i | ||||
\(927\) | −0.213077 | + | 0.466574i | −0.00699837 | + | 0.0153243i | ||||
\(928\) | −0.506901 | + | 0.584995i | −0.0166398 | + | 0.0192034i | ||||
\(929\) | 1.51838 | + | 0.218309i | 0.0498163 | + | 0.00716250i | 0.167178 | − | 0.985927i | \(-0.446535\pi\) |
−0.117362 | + | 0.993089i | \(0.537444\pi\) | |||||||
\(930\) | −11.3518 | − | 24.8571i | −0.372242 | − | 0.815096i | ||||
\(931\) | 30.2628 | + | 34.8269i | 0.991825 | + | 1.14141i | ||||
\(932\) | 11.7893 | + | 3.46165i | 0.386172 | + | 0.113390i | ||||
\(933\) | 6.74963 | + | 14.7796i | 0.220973 | + | 0.483863i | ||||
\(934\) | 4.24747 | − | 29.5418i | 0.138981 | − | 0.966638i | ||||
\(935\) | 107.450 | + | 93.1061i | 3.51400 | + | 3.04490i | ||||
\(936\) | 1.04726 | + | 0.478266i | 0.0342306 | + | 0.0156326i | ||||
\(937\) | 28.7931 | + | 18.5042i | 0.940628 | + | 0.604505i | 0.918573 | − | 0.395252i | \(-0.129343\pi\) |
0.0220552 | + | 0.999757i | \(0.492979\pi\) | |||||||
\(938\) | 2.33870 | − | 16.3469i | 0.0763613 | − | 0.533746i | ||||
\(939\) | −12.4916 | − | 19.4373i | −0.407647 | − | 0.634311i | ||||
\(940\) | −3.11103 | + | 2.69572i | −0.101471 | + | 0.0879248i | ||||
\(941\) | 41.8146 | − | 12.2779i | 1.36312 | − | 0.400248i | 0.483257 | − | 0.875479i | \(-0.339454\pi\) |
0.879861 | + | 0.475231i | \(0.157636\pi\) | |||||||
\(942\) | 7.95120i | 0.259064i | ||||||||
\(943\) | 7.95632 | + | 11.5055i | 0.259093 | + | 0.374670i | ||||
\(944\) | − | 9.88718i | − | 0.321800i | ||||||
\(945\) | 50.0159 | − | 0.0348769i | 1.62702 | − | 0.00113455i | ||||
\(946\) | −6.41545 | − | 7.40383i | −0.208584 | − | 0.240719i | ||||
\(947\) | −38.4871 | + | 24.7341i | −1.25066 | + | 0.803751i | −0.986978 | − | 0.160858i | \(-0.948574\pi\) |
−0.263684 | + | 0.964609i | \(0.584938\pi\) | |||||||
\(948\) | 0.555488 | + | 3.86351i | 0.0180414 | + | 0.125481i | ||||
\(949\) | −1.89406 | − | 1.21724i | −0.0614839 | − | 0.0395133i | ||||
\(950\) | 25.8293 | − | 56.5583i | 0.838013 | − | 1.83499i | ||||
\(951\) | −5.73669 | − | 4.97087i | −0.186025 | − | 0.161191i | ||||
\(952\) | −15.4513 | − | 7.04337i | −0.500780 | − | 0.228277i | ||||
\(953\) | −42.8097 | + | 19.5505i | −1.38674 | + | 0.633304i | −0.962260 | − | 0.272133i | \(-0.912271\pi\) |
−0.424482 | + | 0.905437i | \(0.639544\pi\) | |||||||
\(954\) | −2.36323 | + | 8.04844i | −0.0765125 | + | 0.260578i | ||||
\(955\) | 1.30412 | − | 4.44141i | 0.0422002 | − | 0.143721i | ||||
\(956\) | 2.46764 | + | 5.40338i | 0.0798092 | + | 0.174758i | ||||
\(957\) | −0.637218 | + | 4.43195i | −0.0205983 | + | 0.143265i | ||||
\(958\) | 17.1006 | − | 19.7352i | 0.552496 | − | 0.637614i | ||||
\(959\) | −18.9591 | + | 21.9108i | −0.612222 | + | 0.707538i | ||||
\(960\) | 2.03762 | − | 3.17060i | 0.0657639 | − | 0.102331i | ||||
\(961\) | 3.06977 | + | 21.3507i | 0.0990247 | + | 0.688732i | ||||
\(962\) | −0.454520 | + | 0.292102i | −0.0146543 | + | 0.00941775i | ||||
\(963\) | 7.10805 | − | 6.15916i | 0.229054 | − | 0.198476i | ||||
\(964\) | −25.9258 | + | 7.61250i | −0.835014 | + | 0.245182i | ||||
\(965\) | −21.2924 | −0.685426 | ||||||||
\(966\) | 8.56649 | + | 9.22299i | 0.275622 | + | 0.296745i | ||||
\(967\) | 20.4326 | 0.657067 | 0.328534 | − | 0.944492i | \(-0.393446\pi\) | ||||
0.328534 | + | 0.944492i | \(0.393446\pi\) | |||||||
\(968\) | 22.0674 | − | 6.47956i | 0.709272 | − | 0.208261i | ||||
\(969\) | −31.7166 | + | 27.4826i | −1.01888 | + | 0.882868i | ||||
\(970\) | 3.95415 | − | 2.54118i | 0.126960 | − | 0.0815924i | ||||
\(971\) | −5.54064 | − | 38.5360i | −0.177807 | − | 1.23668i | −0.861822 | − | 0.507210i | \(-0.830677\pi\) |
0.684015 | − | 0.729468i | \(-0.260232\pi\) | |||||||
\(972\) | −8.66657 | + | 13.4854i | −0.277980 | + | 0.432546i | ||||
\(973\) | 9.49523 | − | 10.9735i | 0.304403 | − | 0.351795i | ||||
\(974\) | 9.94517 | − | 11.4773i | 0.318664 | − | 0.367758i | ||||
\(975\) | 0.760634 | − | 5.29032i | 0.0243598 | − | 0.169426i | ||||
\(976\) | −3.03746 | − | 6.65111i | −0.0972268 | − | 0.212897i | ||||
\(977\) | 4.82438 | − | 16.4303i | 0.154346 | − | 0.525653i | −0.845621 | − | 0.533783i | \(-0.820770\pi\) |
0.999967 | + | 0.00813025i | \(0.00258797\pi\) | |||||||
\(978\) | −5.05101 | + | 17.2021i | −0.161513 | + | 0.550064i | ||||
\(979\) | 46.4848 | − | 21.2289i | 1.48566 | − | 0.678478i | ||||
\(980\) | −17.3872 | + | 20.1226i | −0.555415 | + | 0.642792i | ||||
\(981\) | −20.0631 | − | 17.3848i | −0.640567 | − | 0.555054i | ||||
\(982\) | −11.8558 | + | 25.9607i | −0.378335 | + | 0.828438i | ||||
\(983\) | −22.3471 | − | 14.3616i | −0.712763 | − | 0.458065i | 0.133350 | − | 0.991069i | \(-0.457427\pi\) |
−0.846113 | + | 0.533004i | \(0.821063\pi\) | |||||||
\(984\) | 0.411803 | + | 2.86415i | 0.0131278 | + | 0.0913059i | ||||
\(985\) | 24.5511 | − | 15.7780i | 0.782263 | − | 0.502730i | ||||
\(986\) | 3.25339 | + | 3.75461i | 0.103609 | + | 0.119571i | ||||
\(987\) | −0.00198314 | − | 2.84396i | −6.31240e−5 | − | 0.0905241i | ||||
\(988\) | 3.76438i | 0.119761i | ||||||||
\(989\) | 7.43849 | + | 3.09756i | 0.236530 | + | 0.0984965i | ||||
\(990\) | 44.6554i | 1.41924i | ||||||||
\(991\) | −28.4608 | + | 8.35684i | −0.904087 | + | 0.265464i | −0.700550 | − | 0.713603i | \(-0.747062\pi\) |
−0.203537 | + | 0.979067i | \(0.565244\pi\) | |||||||
\(992\) | −5.47959 | + | 4.74809i | −0.173977 | + | 0.150752i | ||||
\(993\) | −14.6739 | − | 22.8331i | −0.465663 | − | 0.724586i | ||||
\(994\) | 24.7612 | + | 3.54251i | 0.785379 | + | 0.112361i | ||||
\(995\) | 53.7162 | + | 34.5213i | 1.70292 | + | 1.09440i | ||||
\(996\) | −8.78505 | − | 4.01200i | −0.278365 | − | 0.127125i | ||||
\(997\) | −6.63334 | − | 5.74783i | −0.210080 | − | 0.182035i | 0.543465 | − | 0.839432i | \(-0.317112\pi\) |
−0.753545 | + | 0.657397i | \(0.771658\pi\) | |||||||
\(998\) | −4.48724 | + | 31.2094i | −0.142041 | + | 0.987917i | ||||
\(999\) | −1.95549 | − | 4.28192i | −0.0618688 | − | 0.135474i |
(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 | 322.2.k.a.83.6 | yes | 80 | |
7.6 | odd | 2 | inner | 322.2.k.a.83.3 | ✓ | 80 | |
23.5 | odd | 22 | inner | 322.2.k.a.97.3 | yes | 80 | |
161.97 | even | 22 | inner | 322.2.k.a.97.6 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.k.a.83.3 | ✓ | 80 | 7.6 | odd | 2 | inner | |
322.2.k.a.83.6 | yes | 80 | 1.1 | even | 1 | trivial | |
322.2.k.a.97.3 | yes | 80 | 23.5 | odd | 22 | inner | |
322.2.k.a.97.6 | yes | 80 | 161.97 | even | 22 | inner |