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 | 97.3 | ||
Character | \(\chi\) | \(=\) | 322.97 |
Dual form | 322.2.k.a.83.3 |
$q$-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 \(\left(\mathbb{Z}/322\mathbb{Z}\right)^\times\).
\(n\) | \(185\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{22}\right)\) |
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 | \(-0.365179\pi\) |
−0.843863 | + | 0.536558i | \(0.819724\pi\) | |||||||
\(4\) | 0.841254 | + | 0.540641i | 0.420627 | + | 0.270320i | ||||
\(5\) | −0.540672 | + | 3.76045i | −0.241796 | + | 1.68173i | 0.401305 | + | 0.915945i | \(0.368557\pi\) |
−0.643101 | + | 0.765782i | \(0.722352\pi\) | |||||||
\(6\) | 0.536339 | + | 0.834560i | 0.218960 | + | 0.340708i | ||||
\(7\) | −2.61856 | + | 0.378356i | −0.989722 | + | 0.143005i | ||||
\(8\) | −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 | −0.705097 | − | 0.709111i | \(-0.749096\pi\) |
0.209791 | − | 0.977746i | \(-0.432722\pi\) | |||||||
\(12\) | −0.279491 | − | 0.951859i | −0.0806821 | − | 0.274778i | ||||
\(13\) | 0.519511 | + | 0.237253i | 0.144086 | + | 0.0658021i | 0.486153 | − | 0.873874i | \(-0.338400\pi\) |
−0.342067 | + | 0.939676i | \(0.611127\pi\) | |||||||
\(14\) | 2.61908 | + | 0.374703i | 0.699979 | + | 0.100144i | ||||
\(15\) | 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 | \(-0.397890\pi\) |
0.994215 | + | 0.107404i | \(0.0342537\pi\) | |||||||
\(18\) | −0.286885 | + | 1.99533i | −0.0676195 | + | 0.470304i | ||||
\(19\) | −5.54487 | − | 3.56347i | −1.27208 | − | 0.817517i | −0.282192 | − | 0.959358i | \(-0.591061\pi\) |
−0.989889 | + | 0.141841i | \(0.954698\pi\) | |||||||
\(20\) | −2.48790 | + | 2.87119i | −0.556311 | + | 0.642017i | ||||
\(21\) | 2.20903 | + | 1.41748i | 0.482049 | + | 0.309320i | ||||
\(22\) | 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 | ||||
\(28\) | −2.40743 | − | 1.09741i | −0.454961 | − | 0.207390i | ||||
\(29\) | 0.651180 | − | 0.418488i | 0.120921 | − | 0.0777113i | −0.478782 | − | 0.877934i | \(-0.658922\pi\) |
0.599703 | + | 0.800222i | \(0.295285\pi\) | |||||||
\(30\) | −3.42831 | + | 1.56566i | −0.625921 | + | 0.285848i | ||||
\(31\) | −5.47959 | + | 4.74809i | −0.984163 | + | 0.852782i | −0.989106 | − | 0.147206i | \(-0.952972\pi\) |
0.00494283 | + | 0.999988i | \(0.498427\pi\) | |||||||
\(32\) | −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 | ||||
\(35\) | −0.00700911 | − | 10.0515i | −0.00118476 | − | 1.69902i | ||||
\(36\) | 0.837414 | − | 1.83368i | 0.139569 | − | 0.305613i | ||||
\(37\) | −0.936384 | + | 0.134632i | −0.153941 | + | 0.0221333i | −0.218854 | − | 0.975758i | \(-0.570232\pi\) |
0.0649136 | + | 0.997891i | \(0.479323\pi\) | |||||||
\(38\) | 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 | \(-0.527687\pi\) |
−0.364021 | + | 0.931391i | \(0.618596\pi\) | |||||||
\(42\) | −1.72020 | − | 1.98242i | −0.265432 | − | 0.305894i | ||||
\(43\) | 1.26976 | + | 1.10026i | 0.193637 | + | 0.167788i | 0.746283 | − | 0.665628i | \(-0.231836\pi\) |
−0.552646 | + | 0.833416i | \(0.686382\pi\) | |||||||
\(44\) | 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 | ||||
\(49\) | 6.71369 | − | 1.98149i | 0.959099 | − | 0.283070i | ||||
\(50\) | 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 | −0.658051 | − | 0.752973i | \(-0.728619\pi\) |
0.138127 | + | 0.990414i | \(0.455892\pi\) | |||||||
\(54\) | 3.76057 | − | 3.25855i | 0.511748 | − | 0.443432i | ||||
\(55\) | 21.9267 | − | 3.15258i | 2.95660 | − | 0.425094i | ||||
\(56\) | 2.00073 | + | 1.73120i | 0.267359 | + | 0.231342i | ||||
\(57\) | 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 | \(-0.586197\pi\) |
−0.903382 | + | 0.428836i | \(0.858924\pi\) | |||||||
\(60\) | 3.73054 | − | 0.536370i | 0.481610 | − | 0.0692451i | ||||
\(61\) | −4.78826 | − | 5.52594i | −0.613074 | − | 0.707525i | 0.361303 | − | 0.932449i | \(-0.382332\pi\) |
−0.974376 | + | 0.224924i | \(0.927787\pi\) | |||||||
\(62\) | 6.59532 | − | 3.01198i | 0.837606 | − | 0.382522i | ||||
\(63\) | 1.50617 | + | 5.11634i | 0.189760 | + | 0.644599i | ||||
\(64\) | −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 | 0.779608 | + | 0.626268i | \(0.215418\pi\) |
−0.994434 | + | 0.105362i | \(0.966400\pi\) | |||||||
\(68\) | 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 | 0.771499 | − | 0.636230i | \(-0.219507\pi\) |
0.305054 | + | 0.952335i | \(0.401325\pi\) | |||||||
\(72\) | −1.32010 | + | 1.52348i | −0.155575 | + | 0.179543i | ||||
\(73\) | −2.13132 | + | 3.31639i | −0.249452 | + | 0.388154i | −0.943286 | − | 0.331980i | \(-0.892283\pi\) |
0.693835 | + | 0.720134i | \(0.255920\pi\) | |||||||
\(74\) | 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 | ||||
\(77\) | 6.41840 | + | 14.0284i | 0.731444 | + | 1.59869i | ||||
\(78\) | 0.0806325 | + | 0.560811i | 0.00912983 | + | 0.0634994i | ||||
\(79\) | −3.57898 | − | 1.63447i | −0.402667 | − | 0.183892i | 0.203778 | − | 0.979017i | \(-0.434678\pi\) |
−0.606445 | + | 0.795125i | \(0.707405\pi\) | |||||||
\(80\) | −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 | −0.912734 | − | 0.408555i | \(-0.866033\pi\) |
0.760659 | − | 0.649152i | \(-0.224876\pi\) | |||||||
\(84\) | 1.09200 | + | 2.38675i | 0.119148 | + | 0.260416i | ||||
\(85\) | 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 | \(-0.618961\pi\) |
0.973455 | + | 0.228880i | \(0.0735063\pi\) | |||||||
\(90\) | −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 | \(-0.974552\pi\) |
0.978928 | + | 0.204204i | \(0.0654607\pi\) | |||||||
\(98\) | −6.99999 | + | 0.00976244i | −0.707106 | + | 0.000986155i | ||||
\(99\) | −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 | \(-0.698526\pi\) |
−0.331683 | + | 0.943391i | \(0.607617\pi\) | |||||||
\(102\) | 5.79175 | + | 2.64500i | 0.573468 | + | 0.261894i | ||||
\(103\) | −0.244140 | + | 0.0716859i | −0.0240558 | + | 0.00706342i | −0.293738 | − | 0.955886i | \(-0.594899\pi\) |
0.269683 | + | 0.962949i | \(0.413081\pi\) | |||||||
\(104\) | −0.160904 | − | 0.547988i | −0.0157779 | − | 0.0537346i | ||||
\(105\) | −6.52473 | + | 7.54056i | −0.636748 | + | 0.735883i | ||||
\(106\) | 4.11878 | − | 0.592191i | 0.400051 | − | 0.0575187i | ||||
\(107\) | −3.52608 | + | 3.05537i | −0.340879 | + | 0.295374i | −0.808430 | − | 0.588593i | \(-0.799682\pi\) |
0.467550 | + | 0.883966i | \(0.345137\pi\) | |||||||
\(108\) | −4.52628 | + | 2.06708i | −0.435541 | + | 0.198905i | ||||
\(109\) | −7.11987 | − | 11.0787i | −0.681959 | − | 1.06115i | −0.993818 | − | 0.111021i | \(-0.964588\pi\) |
0.311859 | − | 0.950129i | \(-0.399048\pi\) | |||||||
\(110\) | −21.9267 | − | 3.15258i | −2.09063 | − | 0.300587i | ||||
\(111\) | 0.789505 | + | 0.507384i | 0.0749365 | + | 0.0481588i | ||||
\(112\) | −1.43195 | − | 2.22475i | −0.135307 | − | 0.210219i | ||||
\(113\) | 2.45831 | − | 8.37225i | 0.231259 | − | 0.787595i | −0.759328 | − | 0.650708i | \(-0.774472\pi\) |
0.990587 | − | 0.136887i | \(-0.0437097\pi\) | |||||||
\(114\) | − | 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 | ||||
\(119\) | −12.8256 | + | 11.1291i | −1.17572 | + | 1.02020i | ||||
\(120\) | −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 | ||||
\(126\) | −0.00371910 | − | 5.33343i | −0.000331323 | − | 0.475140i | ||||
\(127\) | 15.9487 | − | 4.68295i | 1.41522 | − | 0.415545i | 0.517335 | − | 0.855783i | \(-0.326924\pi\) |
0.897881 | + | 0.440238i | \(0.145106\pi\) | |||||||
\(128\) | 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 | 0.669078 | − | 0.743192i | \(-0.266689\pi\) |
0.999820 | − | 0.0189678i | \(-0.00603799\pi\) | |||||||
\(132\) | −4.86621 | + | 3.12732i | −0.423549 | + | 0.272198i | ||||
\(133\) | 15.8678 | + | 7.23323i | 1.37592 | + | 0.627200i | ||||
\(134\) | 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 | \(0.154961\pi\) | ||||
−0.883823 | + | 0.467821i | \(0.845039\pi\) | |||||||
\(138\) | 4.72945 | − | 0.517484i | 0.402597 | − | 0.0440512i | ||||
\(139\) | 5.48475i | 0.465211i | 0.972571 | + | 0.232605i | \(0.0747251\pi\) | ||||
−0.972571 | + | 0.232605i | \(0.925275\pi\) | |||||||
\(140\) | 5.42837 | − | 8.45968i | 0.458781 | − | 0.714973i | ||||
\(141\) | 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 | ||||
\(147\) | −6.32078 | − | 2.87596i | −0.521329 | − | 0.237205i | ||||
\(148\) | −0.860524 | − | 0.392988i | −0.0707346 | − | 0.0323034i | ||||
\(149\) | −2.92491 | − | 9.96133i | −0.239618 | − | 0.816064i | −0.988219 | − | 0.153044i | \(-0.951092\pi\) |
0.748601 | − | 0.663020i | \(-0.230726\pi\) | |||||||
\(150\) | −2.63653 | − | 8.97921i | −0.215272 | − | 0.733150i | ||||
\(151\) | −1.79767 | + | 3.93635i | −0.146293 | + | 0.320336i | −0.968566 | − | 0.248757i | \(-0.919978\pi\) |
0.822274 | + | 0.569092i | \(0.192705\pi\) | |||||||
\(152\) | 0.938026 | + | 6.52411i | 0.0760840 | + | 0.529176i | ||||
\(153\) | −8.47266 | − | 9.77797i | −0.684974 | − | 0.790502i | ||||
\(154\) | −2.20614 | − | 15.2685i | −0.177776 | − | 1.23037i | ||||
\(155\) | −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 | \(-0.421808\pi\) |
−0.781303 | + | 0.624152i | \(0.785445\pi\) | |||||||
\(158\) | 2.97353 | + | 2.57658i | 0.236561 | + | 0.204981i | ||||
\(159\) | 3.96081 | + | 1.16300i | 0.314113 | + | 0.0922319i | ||||
\(160\) | 3.79912 | 0.300347 | ||||||||
\(161\) | −3.97595 | + | 12.0496i | −0.313349 | + | 0.949638i | ||||
\(162\) | 1.11119 | 0.0873036 | ||||||||
\(163\) | 17.3401 | + | 5.09151i | 1.35818 | + | 0.398798i | 0.878122 | − | 0.478437i | \(-0.158797\pi\) |
0.480060 | + | 0.877235i | \(0.340615\pi\) | |||||||
\(164\) | −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 | \(-0.152325\pi\) |
−0.787624 | + | 0.616156i | \(0.788689\pi\) | |||||||
\(168\) | −0.375345 | − | 2.59772i | −0.0289585 | − | 0.200419i | ||||
\(169\) | −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 | 0.781146 | + | 0.624348i | \(0.214635\pi\) |
−0.319594 | + | 0.947555i | \(0.603547\pi\) | |||||||
\(174\) | 0.698507 | + | 0.318998i | 0.0529537 | + | 0.0241831i | ||||
\(175\) | 24.7067 | + | 3.53471i | 1.86765 | + | 0.267199i | ||||
\(176\) | 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 | −0.983439 | − | 0.181241i | \(-0.941989\pi\) |
0.994664 | + | 0.103167i | \(0.0328977\pi\) | |||||||
\(180\) | 6.44271 | + | 4.14048i | 0.480211 | + | 0.308613i | ||||
\(181\) | −14.9567 | + | 17.2609i | −1.11172 | + | 1.28300i | −0.156314 | + | 0.987707i | \(0.549961\pi\) |
−0.955408 | + | 0.295288i | \(0.904584\pi\) | |||||||
\(182\) | 1.27174 | + | 0.816047i | 0.0942679 | + | 0.0604894i | ||||
\(183\) | 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 | ||||
\(189\) | 5.46063 | − | 11.9792i | 0.397202 | − | 0.871359i | ||||
\(190\) | −21.0657 | + | 13.5381i | −1.52826 | + | 0.982155i | ||||
\(191\) | −1.10831 | + | 0.506148i | −0.0801945 | + | 0.0366236i | −0.455108 | − | 0.890436i | \(-0.650400\pi\) |
0.374914 | + | 0.927060i | \(0.377672\pi\) | |||||||
\(192\) | 0.749737 | − | 0.649651i | 0.0541076 | − | 0.0468845i | ||||
\(193\) | −0.797611 | − | 5.54751i | −0.0574133 | − | 0.399318i | −0.998182 | − | 0.0602696i | \(-0.980804\pi\) |
0.940769 | − | 0.339049i | \(-0.110105\pi\) | |||||||
\(194\) | 0.513955 | − | 1.12541i | 0.0368999 | − | 0.0807994i | ||||
\(195\) | 2.06531 | − | 0.606429i | 0.147900 | − | 0.0434273i | ||||
\(196\) | 6.71919 | + | 1.96276i | 0.479942 | + | 0.140197i | ||||
\(197\) | −3.19112 | + | 6.98757i | −0.227358 | + | 0.497844i | −0.988589 | − | 0.150636i | \(-0.951868\pi\) |
0.761231 | + | 0.648480i | \(0.224595\pi\) | |||||||
\(198\) | 11.6345 | − | 1.67279i | 0.826828 | − | 0.118880i | ||||
\(199\) | −11.0064 | − | 12.7020i | −0.780220 | − | 0.900422i | 0.216905 | − | 0.976193i | \(-0.430404\pi\) |
−0.997125 | + | 0.0757703i | \(0.975858\pi\) | |||||||
\(200\) | 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 | ||||
\(203\) | −1.54682 | + | 1.34221i | −0.108565 | + | 0.0942049i | ||||
\(204\) | −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 | ||||
\(210\) | 8.38485 | − | 5.39688i | 0.578610 | − | 0.372420i | ||||
\(211\) | 7.98726 | + | 5.13310i | 0.549866 | + | 0.353377i | 0.785887 | − | 0.618371i | \(-0.212207\pi\) |
−0.236021 | + | 0.971748i | \(0.575843\pi\) | |||||||
\(212\) | −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 | ||||
\(217\) | 12.5522 | − | 14.5064i | 0.852096 | − | 0.984758i | ||||
\(218\) | 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 | \(-0.765656\pi\) |
0.0222131 | + | 0.999753i | \(0.492929\pi\) | |||||||
\(224\) | 0.747164 | + | 2.53806i | 0.0499220 | + | 0.169581i | ||||
\(225\) | −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 | \(-0.824333\pi\) |
0.640135 | + | 0.768262i | \(0.278878\pi\) | |||||||
\(228\) | −1.84218 | + | 6.27390i | −0.122002 | + | 0.415499i | ||||
\(229\) | 1.61125 | 0.106474 | 0.0532372 | − | 0.998582i | \(-0.483046\pi\) | ||||
0.0532372 | + | 0.998582i | \(0.483046\pi\) | |||||||
\(230\) | −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 | −0.428272 | − | 0.903650i | \(-0.640877\pi\) |
0.955402 | + | 0.295310i | \(0.0954229\pi\) | |||||||
\(234\) | −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 | ||||
\(238\) | 15.4415 | − | 7.06491i | 1.00092 | − | 0.457950i | ||||
\(239\) | −0.845376 | − | 5.87972i | −0.0546828 | − | 0.380327i | −0.998724 | − | 0.0504999i | \(-0.983919\pi\) |
0.944041 | − | 0.329827i | \(-0.106991\pi\) | |||||||
\(240\) | 3.42831 | + | 1.56566i | 0.221296 | + | 0.101063i | ||||
\(241\) | 25.9258 | − | 7.61250i | 1.67003 | − | 0.490364i | 0.696237 | − | 0.717812i | \(-0.254856\pi\) |
0.973790 | + | 0.227447i | \(0.0730379\pi\) | |||||||
\(242\) | 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 | ||||
\(245\) | 3.82141 | + | 26.3179i | 0.244141 | + | 1.68139i | ||||
\(246\) | −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 | \(-0.427850\pi\) |
−0.337757 | + | 0.941233i | \(0.609668\pi\) | |||||||
\(252\) | −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 | −0.108855 | − | 0.994058i | \(-0.534718\pi\) |
0.949447 | − | 0.313929i | \(-0.101645\pi\) | |||||||
\(258\) | −0.237206 | + | 1.64981i | −0.0147678 | + | 0.102712i | ||||
\(259\) | 2.40104 | − | 0.706827i | 0.149193 | − | 0.0439201i | ||||
\(260\) | −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 | 0.435924 | − | 0.899984i | \(-0.356422\pi\) |
−0.394693 | + | 0.918813i | \(0.629149\pi\) | |||||||
\(264\) | 5.55016 | − | 1.62967i | 0.341589 | − | 0.100300i | ||||
\(265\) | −4.45382 | − | 15.1683i | −0.273596 | − | 0.931781i | ||||
\(266\) | −13.1872 | − | 11.4107i | −0.808561 | − | 0.699636i | ||||
\(267\) | −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 | \(-0.694663\pi\) |
0.242796 | + | 0.970077i | \(0.421936\pi\) | |||||||
\(270\) | 10.2204 | + | 15.9032i | 0.621993 | + | 0.967841i | ||||
\(271\) | −2.98517 | − | 0.429202i | −0.181336 | − | 0.0260722i | 0.0510485 | − | 0.998696i | \(-0.483744\pi\) |
−0.232385 | + | 0.972624i | \(0.574653\pi\) | |||||||
\(272\) | 5.39933 | + | 3.46994i | 0.327382 | + | 0.210396i | ||||
\(273\) | 0.811313 | + | 1.26049i | 0.0491029 | + | 0.0762886i | ||||
\(274\) | 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 | ||||
\(280\) | −7.59185 | + | 6.58765i | −0.453700 | + | 0.393688i | ||||
\(281\) | 25.8041 | + | 3.71006i | 1.53934 | + | 0.221324i | 0.859155 | − | 0.511716i | \(-0.170990\pi\) |
0.680186 | + | 0.733039i | \(0.261899\pi\) | |||||||
\(282\) | −0.904276 | + | 0.581143i | −0.0538488 | + | 0.0346065i | ||||
\(283\) | 6.52483 | + | 14.2874i | 0.387861 | + | 0.849297i | 0.998358 | + | 0.0572784i | \(0.0182423\pi\) |
−0.610498 | + | 0.792018i | \(0.709030\pi\) | |||||||
\(284\) | 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 | ||||
\(287\) | 7.71716 | − | 0.00538131i | 0.455529 | − | 0.000317649i | ||||
\(288\) | −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 | \(-0.812243\pi\) |
0.160755 | + | 0.986994i | \(0.448607\pi\) | |||||||
\(294\) | 5.25449 | + | 4.54023i | 0.306448 | + | 0.264792i | ||||
\(295\) | 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 | ||||||||
\(301\) | −3.74124 | − | 2.40066i | −0.215642 | − | 0.138372i | ||||
\(302\) | 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 | \(-0.652065\pi\) |
0.813573 | + | 0.581463i | \(0.197520\pi\) | |||||||
\(308\) | −2.18484 | + | 15.2715i | −0.124493 | + | 0.870176i | ||||
\(309\) | 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 | 0.980597 | + | 0.196037i | \(0.0628072\pi\) |
−0.718945 | + | 0.695067i | \(0.755375\pi\) | |||||||
\(312\) | −0.235365 | + | 0.515378i | −0.0133249 | + | 0.0291775i | ||||
\(313\) | −3.31457 | − | 23.0533i | −0.187351 | − | 1.30305i | −0.838833 | − | 0.544388i | \(-0.816762\pi\) |
0.651483 | − | 0.758664i | \(-0.274147\pi\) | |||||||
\(314\) | 5.24869 | + | 6.05731i | 0.296201 | + | 0.341834i | ||||
\(315\) | −20.0541 | + | 2.89762i | −1.12992 | + | 0.163263i | ||||
\(316\) | −2.12717 | − | 3.30995i | −0.119663 | − | 0.186199i | ||||
\(317\) | −1.08894 | + | 7.57372i | −0.0611608 | + | 0.425383i | 0.936120 | + | 0.351682i | \(0.114390\pi\) |
−0.997280 | + | 0.0737008i | \(0.976519\pi\) | |||||||
\(318\) | −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 | ||||||||
\(322\) | 7.20965 | − | 10.4413i | 0.401778 | − | 0.581871i | ||||
\(323\) | −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 | ||||
\(329\) | −0.409962 | − | 2.83730i | −0.0226019 | − | 0.156425i | ||||
\(330\) | 14.3912 | + | 16.6083i | 0.792208 | + | 0.914257i | ||||
\(331\) | 3.89365 | + | 27.0809i | 0.214014 | + | 1.48850i | 0.759569 | + | 0.650427i | \(0.225410\pi\) |
−0.545554 | + | 0.838075i | \(0.683681\pi\) | |||||||
\(332\) | 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 | ||||
\(336\) | −0.371722 | + | 2.59825i | −0.0202791 | + | 0.141746i | ||||
\(337\) | 1.33812 | − | 1.15949i | 0.0728921 | − | 0.0631614i | −0.617653 | − | 0.786451i | \(-0.711916\pi\) |
0.690545 | + | 0.723290i | \(0.257371\pi\) | |||||||
\(338\) | 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 | ||||
\(343\) | −16.8305 | + | 7.72882i | −0.908761 | + | 0.417317i | ||||
\(344\) | − | 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 | −0.549401 | − | 0.835559i | \(-0.685144\pi\) |
−0.913923 | + | 0.405888i | \(0.866962\pi\) | |||||||
\(348\) | −0.580341 | − | 0.502868i | −0.0311095 | − | 0.0269566i | ||||
\(349\) | 10.4042 | − | 16.1893i | 0.556926 | − | 0.866593i | −0.442621 | − | 0.896709i | \(-0.645951\pi\) |
0.999546 | + | 0.0301158i | \(0.00958760\pi\) | |||||||
\(350\) | −22.7101 | − | 10.3522i | −1.21390 | − | 0.553349i | ||||
\(351\) | −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 | \(-0.639528\pi\) |
0.835837 | + | 0.548977i | \(0.184983\pi\) | |||||||
\(354\) | −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 | ||||
\(357\) | 16.8458 | − | 0.0117469i | 0.891577 | − | 0.000621712i | ||||
\(358\) | −0.438387 | + | 0.959933i | −0.0231695 | + | 0.0507340i | ||||
\(359\) | 14.4707 | − | 2.08058i | 0.763737 | − | 0.109809i | 0.250571 | − | 0.968098i | \(-0.419382\pi\) |
0.513166 | + | 0.858290i | \(0.328473\pi\) | |||||||
\(360\) | −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 | ||||
\(364\) | −0.990321 | − | 1.14128i | −0.0519069 | − | 0.0598195i | ||||
\(365\) | −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 | \(-0.524564\pi\) | ||||
−0.0770936 | + | 0.997024i | \(0.524564\pi\) | |||||||
\(368\) | 4.79309 | + | 0.162144i | 0.249857 | + | 0.00845232i | ||||
\(369\) | 5.87985i | 0.306093i | ||||||||
\(370\) | −1.01255 | + | 3.44844i | −0.0526401 | + | 0.179276i | ||||
\(371\) | 9.25748 | − | 5.95855i | 0.480624 | − | 0.309352i | ||||
\(372\) | 6.05101 | + | 3.88875i | 0.313730 | + | 0.201622i | ||||
\(373\) | 4.51001 | + | 0.648442i | 0.233519 | + | 0.0335750i | 0.258081 | − | 0.966123i | \(-0.416910\pi\) |
−0.0245615 | + | 0.999698i | \(0.507819\pi\) | |||||||
\(374\) | 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 | ||||
\(378\) | −8.61437 | + | 9.95553i | −0.443075 | + | 0.512057i | ||||
\(379\) | −7.67694 | − | 26.1453i | −0.394338 | − | 1.34299i | −0.882530 | − | 0.470256i | \(-0.844162\pi\) |
0.488192 | − | 0.872736i | \(-0.337657\pi\) | |||||||
\(380\) | 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 | −0.999999 | − | 0.00135042i | \(-0.999570\pi\) |
0.140978 | − | 0.990013i | \(-0.454975\pi\) | |||||||
\(384\) | −0.902395 | + | 0.412110i | −0.0460501 | + | 0.0210304i | ||||
\(385\) | −56.2235 | + | 16.5513i | −2.86542 | + | 0.843533i | ||||
\(386\) | −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 | −0.0976123 | − | 0.995225i | \(-0.531121\pi\) |
0.620176 | − | 0.784463i | \(-0.287061\pi\) | |||||||
\(390\) | −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 | \(-0.132479\pi\) |
−0.747701 | + | 0.664036i | \(0.768842\pi\) | |||||||
\(398\) | 6.98196 | + | 15.2884i | 0.349974 | + | 0.766336i | ||||
\(399\) | −7.19763 | − | 15.7316i | −0.360332 | − | 0.787563i | ||||
\(400\) | −1.34250 | − | 9.33732i | −0.0671252 | − | 0.466866i | ||||
\(401\) | 5.17703 | + | 2.36427i | 0.258528 | + | 0.118066i | 0.540463 | − | 0.841368i | \(-0.318249\pi\) |
−0.281935 | + | 0.959434i | \(0.590976\pi\) | |||||||
\(402\) | −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 | ||||
\(406\) | 1.86230 | − | 0.852056i | 0.0924246 | − | 0.0422868i | ||||
\(407\) | 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 | \(-0.513071\pi\) |
−0.320886 | + | 0.947118i | \(0.603981\pi\) | |||||||
\(410\) | −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 | −0.395810 | − | 0.918332i | \(-0.629536\pi\) |
0.638501 | − | 0.769621i | \(-0.279555\pi\) | |||||||
\(420\) | −9.56569 | + | 2.81599i | −0.466758 | + | 0.137406i | ||||
\(421\) | −25.3129 | + | 11.5600i | −1.23367 | + | 0.563400i | −0.922148 | − | 0.386838i | \(-0.873567\pi\) |
−0.311526 | + | 0.950238i | \(0.600840\pi\) | |||||||
\(422\) | −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 | ||||
\(427\) | 14.6291 | + | 12.6583i | 0.707952 | + | 0.612580i | ||||
\(428\) | −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 | 0.588081 | − | 0.808802i | \(-0.299884\pi\) |
−0.980010 | + | 0.198948i | \(0.936247\pi\) | |||||||
\(432\) | −4.92529 | − | 0.708150i | −0.236968 | − | 0.0340709i | ||||
\(433\) | −11.4178 | − | 7.33775i | −0.548702 | − | 0.352630i | 0.236732 | − | 0.971575i | \(-0.423924\pi\) |
−0.785434 | + | 0.618945i | \(0.787560\pi\) | |||||||
\(434\) | −16.1306 | + | 10.3824i | −0.774295 | + | 0.498372i | ||||
\(435\) | 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 | −0.646963 | − | 0.762522i | \(-0.723961\pi\) |
0.956510 | − | 0.291699i | \(-0.0942207\pi\) | |||||||
\(440\) | −16.7415 | − | 14.5066i | −0.798120 | − | 0.691575i | ||||
\(441\) | −5.87979 | − | 12.8276i | −0.279990 | − | 0.610837i | ||||
\(442\) | −3.62826 | − | 0.521665i | −0.172579 | − | 0.0248131i | ||||
\(443\) | −13.6113 | + | 8.74747i | −0.646694 | + | 0.415605i | −0.822457 | − | 0.568828i | \(-0.807397\pi\) |
0.175763 | + | 0.984432i | \(0.443761\pi\) | |||||||
\(444\) | 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 | ||||
\(448\) | −0.00184493 | − | 2.64575i | −8.71647e−5 | − | 0.125000i | ||||
\(449\) | 10.3241 | − | 3.03142i | 0.487223 | − | 0.143061i | −0.0288893 | − | 0.999583i | \(-0.509197\pi\) |
0.516112 | + | 0.856521i | \(0.327379\pi\) | |||||||
\(450\) | 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 | ||||
\(455\) | 2.38111 | − | 5.22354i | 0.111628 | − | 0.244884i | ||||
\(456\) | 3.53512 | − | 5.50076i | 0.165547 | − | 0.257597i | ||||
\(457\) | −15.1773 | − | 13.1512i | −0.709965 | − | 0.615188i | 0.223142 | − | 0.974786i | \(-0.428368\pi\) |
−0.933107 | + | 0.359598i | \(0.882914\pi\) | |||||||
\(458\) | −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 | \(-0.199527\pi\) | |||||||
\(462\) | −8.26514 | + | 12.8805i | −0.384529 | + | 0.599257i | ||||
\(463\) | 3.41896 | − | 3.94568i | 0.158892 | − | 0.183372i | −0.670721 | − | 0.741710i | \(-0.734015\pi\) |
0.829614 | + | 0.558338i | \(0.188561\pi\) | |||||||
\(464\) | 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 | 0.944790 | + | 0.327676i | \(0.106265\pi\) |
−0.371065 | + | 0.928607i | \(0.621007\pi\) | |||||||
\(468\) | 0.870091 | − | 0.753938i | 0.0402200 | − | 0.0348508i | ||||
\(469\) | 2.33870 | − | 16.3469i | 0.107991 | − | 0.754831i | ||||
\(470\) | 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 | ||||
\(476\) | −16.8064 | + | 2.42836i | −0.770321 | + | 0.111304i | ||||
\(477\) | 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 | \(-0.114710\pi\) |
0.0679759 | + | 0.997687i | \(0.478346\pi\) | |||||||
\(480\) | −2.84834 | − | 2.46810i | −0.130008 | − | 0.112653i | ||||
\(481\) | −0.518403 | − | 0.152217i | −0.0236372 | − | 0.00694050i | ||||
\(482\) | −27.0203 | −1.23074 | ||||||||
\(483\) | 10.8089 | − | 6.45101i | 0.491823 | − | 0.293531i | ||||
\(484\) | −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 | 0.218163 | − | 0.975912i | \(-0.429993\pi\) |
−0.797093 | + | 0.603857i | \(0.793630\pi\) | |||||||
\(488\) | −1.04059 | + | 7.23745i | −0.0471052 | + | 0.327624i | ||||
\(489\) | −9.69281 | − | 15.0823i | −0.438324 | − | 0.682045i | ||||
\(490\) | 3.74799 | − | 26.3284i | 0.169317 | − | 1.18940i | ||||
\(491\) | 18.6896 | + | 21.5689i | 0.843448 | + | 0.973391i | 0.999898 | − | 0.0142950i | \(-0.00455041\pi\) |
−0.156450 | + | 0.987686i | \(0.550005\pi\) | |||||||
\(492\) | 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 | ||||
\(497\) | −24.7612 | − | 3.54251i | −1.11069 | − | 0.158903i | ||||
\(498\) | 7.29888 | − | 6.32452i | 0.327071 | − | 0.283408i | ||||
\(499\) | 13.0982 | + | 28.6810i | 0.586355 | + | 1.28394i | 0.937620 | + | 0.347662i | \(0.113024\pi\) |
−0.351265 | + | 0.936276i | \(0.614248\pi\) | |||||||
\(500\) | 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 | \(-0.904718\pi\) |
0.427872 | + | 0.903840i | \(0.359264\pi\) | |||||||
\(504\) | 2.88034 | − | 4.48878i | 0.128301 | − | 0.199946i | ||||
\(505\) | − | 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 | \(-0.447270\pi\) |
−0.952804 | + | 0.303587i | \(0.901816\pi\) | |||||||
\(510\) | −13.0778 | + | 20.3495i | −0.579097 | + | 0.901092i | ||||
\(511\) | 4.32620 | − | 9.49056i | 0.191380 | − | 0.419838i | ||||
\(512\) | 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 | ||||
\(518\) | −2.50291 | + | 0.00174533i | −0.109972 | + | 7.66852e-5i | ||||
\(519\) | 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 | \(-0.111250\pi\) |
−0.472656 | + | 0.881247i | \(0.656705\pi\) | |||||||
\(522\) | 0.648208 | + | 1.41938i | 0.0283713 | + | 0.0621245i | ||||
\(523\) | 1.65997 | − | 1.06680i | 0.0725855 | − | 0.0466478i | −0.503845 | − | 0.863794i | \(-0.668082\pi\) |
0.576430 | + | 0.817146i | \(0.304445\pi\) | |||||||
\(524\) | 20.7853 | + | 2.98848i | 0.908011 | + | 0.130552i | ||||
\(525\) | −16.2272 | − | 18.7008i | −0.708213 | − | 0.816171i | ||||
\(526\) | −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 | ||||
\(532\) | 9.43829 | + | 14.6638i | 0.409202 | + | 0.635755i | ||||
\(533\) | −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 | ||||
\(539\) | −22.1147 | − | 34.3058i | −0.952547 | − | 1.47766i | ||||
\(540\) | −5.32593 | − | 18.1385i | −0.229192 | − | 0.780555i | ||||
\(541\) | 10.6683 | − | 3.13249i | 0.458665 | − | 0.134676i | −0.0442342 | − | 0.999021i | \(-0.514085\pi\) |
0.502899 | + | 0.864345i | \(0.332267\pi\) | |||||||
\(542\) | 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 | ||||
\(546\) | −0.423327 | − | 1.43801i | −0.0181167 | − | 0.0615411i | ||||
\(547\) | 3.37559 | − | 23.4778i | 0.144330 | − | 1.00384i | −0.780961 | − | 0.624580i | \(-0.785270\pi\) |
0.925291 | − | 0.379258i | \(-0.123821\pi\) | |||||||
\(548\) | −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 | −0.490661 | − | 0.871350i | \(-0.663245\pi\) |
−0.716274 | + | 0.697819i | \(0.754154\pi\) | |||||||
\(558\) | −7.90200 | − | 12.2957i | −0.334518 | − | 0.520520i | ||||
\(559\) | 0.398618 | + | 0.872851i | 0.0168597 | + | 0.0369177i | ||||
\(560\) | 9.14029 | − | 4.18193i | 0.386248 | − | 0.176719i | ||||
\(561\) | 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 | \(-0.486631\pi\) |
0.575485 | + | 0.817812i | \(0.304813\pi\) | |||||||
\(564\) | 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 | ||||
\(567\) | 2.67341 | − | 1.22316i | 0.112273 | − | 0.0513679i | ||||
\(568\) | −3.92740 | − | 8.59981i | −0.164790 | − | 0.360840i | ||||
\(569\) | −21.0945 | − | 32.8237i | −0.884327 | − | 1.37604i | −0.926246 | − | 0.376919i | \(-0.876984\pi\) |
0.0419195 | − | 0.999121i | \(-0.486653\pi\) | |||||||
\(570\) | 24.5887 | + | 3.53532i | 1.02991 | + | 0.148078i | ||||
\(571\) | −5.44510 | + | 8.47274i | −0.227870 | + | 0.354573i | −0.936296 | − | 0.351213i | \(-0.885769\pi\) |
0.708426 | + | 0.705786i | \(0.249406\pi\) | |||||||
\(572\) | 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 | 0.810147 | + | 0.586226i | \(0.199387\pi\) |
−0.998477 | + | 0.0551663i | \(0.982431\pi\) | |||||||
\(578\) | −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 | ||||
\(581\) | 7.27384 | + | 24.7087i | 0.301770 | + | 1.02509i | ||||
\(582\) | −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 | \(-0.164940\pi\) |
−0.998595 | + | 0.0530002i | \(0.983122\pi\) | |||||||
\(588\) | −3.76252 | − | 5.83668i | −0.155164 | − | 0.240701i | ||||
\(589\) | 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 | \(-0.669067\pi\) |
−0.728917 | + | 0.684602i | \(0.759976\pi\) | |||||||
\(594\) | −24.4082 | − | 15.6862i | −1.00148 | − | 0.643612i | ||||
\(595\) | −34.9160 | − | 54.2472i | −1.43142 | − | 2.22392i | ||||
\(596\) | 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 | 0.934382 | + | 0.356274i | \(0.115953\pi\) |
0.485624 | + | 0.874168i | \(0.338593\pi\) | |||||||
\(602\) | 2.91335 | + | 3.35745i | 0.118739 | + | 0.136839i | ||||
\(603\) | 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 | \(-0.463736\pi\) |
0.388982 | + | 0.921245i | \(0.372827\pi\) | |||||||
\(608\) | −2.73808 | + | 5.99557i | −0.111044 | + | 0.243152i | ||||
\(609\) | 2.03167 | − | 0.00141672i | 0.0823276 | − | 5.74085e-5i | ||||
\(610\) | −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 | −0.758662 | − | 0.651485i | \(-0.774146\pi\) |
0.536885 | + | 0.843655i | \(0.319601\pi\) | |||||||
\(614\) | −7.46155 | + | 3.40758i | −0.301124 | + | 0.137519i | ||||
\(615\) | −9.24804 | + | 5.94335i | −0.372917 | + | 0.239659i | ||||
\(616\) | 6.39883 | − | 14.0374i | 0.257816 | − | 0.565582i | ||||
\(617\) | −3.03799 | + | 4.72721i | −0.122305 | + | 0.190310i | −0.897007 | − | 0.442016i | \(-0.854263\pi\) |
0.774702 | + | 0.632326i | \(0.217900\pi\) | |||||||
\(618\) | −0.190768 | − | 0.165301i | −0.00767382 | − | 0.00664940i | ||||
\(619\) | −21.7789 | − | 6.39487i | −0.875369 | − | 0.257032i | −0.186972 | − | 0.982365i | \(-0.559867\pi\) |
−0.688398 | + | 0.725334i | \(0.741686\pi\) | |||||||
\(620\) | − | 27.5457i | − | 1.10626i | ||||||
\(621\) | 12.2156 | + | 20.5002i | 0.490196 | + | 0.822645i | ||||
\(622\) | − | 16.3782i | − | 0.656707i | ||||||
\(623\) | −12.5227 | + | 19.5156i | −0.501712 | + | 0.781877i | ||||
\(624\) | 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 | ||||
\(630\) | 20.0581 | + | 2.86965i | 0.799136 | + | 0.114330i | ||||
\(631\) | 10.3870 | + | 4.74357i | 0.413499 | + | 0.188839i | 0.611292 | − | 0.791405i | \(-0.290650\pi\) |
−0.197793 | + | 0.980244i | \(0.563377\pi\) | |||||||
\(632\) | 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 | ||||
\(637\) | 3.95795 | + | 0.563435i | 0.156820 | + | 0.0223241i | ||||
\(638\) | 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 | 0.819834 | − | 0.572601i | \(-0.194065\pi\) |
−0.450098 | + | 0.892979i | \(0.648611\pi\) | |||||||
\(642\) | −4.44107 | − | 1.30402i | −0.175275 | − | 0.0514654i | ||||
\(643\) | −36.3882 | −1.43501 | −0.717505 | − | 0.696554i | \(-0.754716\pi\) | ||||
−0.717505 | + | 0.696554i | \(0.754716\pi\) | |||||||
\(644\) | −9.85927 | + | 7.98717i | −0.388510 | + | 0.314738i | ||||
\(645\) | 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 | \(-0.439854\pi\) |
−0.945473 | + | 0.325701i | \(0.894400\pi\) | |||||||
\(648\) | 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 | ||||
\(651\) | −18.8349 | + | 2.72146i | −0.738198 | + | 0.106662i | ||||
\(652\) | 11.8347 | + | 13.6580i | 0.463484 | + | 0.534890i | ||||
\(653\) | 3.50287 | + | 24.3630i | 0.137078 | + | 0.953398i | 0.936009 | + | 0.351976i | \(0.114490\pi\) |
−0.798931 | + | 0.601422i | \(0.794601\pi\) | |||||||
\(654\) | 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 | ||||
\(658\) | −0.406004 | + | 2.83787i | −0.0158277 | + | 0.110632i | ||||
\(659\) | −22.4764 | + | 19.4759i | −0.875557 | + | 0.758675i | −0.971582 | − | 0.236704i | \(-0.923933\pi\) |
0.0960245 | + | 0.995379i | \(0.469387\pi\) | |||||||
\(660\) | −9.12913 | − | 19.9900i | −0.355351 | − | 0.778110i | ||||
\(661\) | 15.5461 | − | 9.99088i | 0.604674 | − | 0.388600i | −0.202183 | − | 0.979348i | \(-0.564803\pi\) |
0.806856 | + | 0.590748i | \(0.201167\pi\) | |||||||
\(662\) | 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 | ||||
\(665\) | −35.7795 | + | 55.7595i | −1.38747 | + | 2.16226i | ||||
\(666\) | − | 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 | ||||
\(672\) | 1.08868 | − | 2.38827i | 0.0419966 | − | 0.0921296i | ||||
\(673\) | 5.13028 | − | 3.29703i | 0.197758 | − | 0.127091i | −0.438014 | − | 0.898968i | \(-0.644318\pi\) |
0.635772 | + | 0.771877i | \(0.280682\pi\) | |||||||
\(674\) | −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 | 0.144075 | − | 0.989567i | \(-0.453979\pi\) |
0.653516 | − | 0.756913i | \(-0.273293\pi\) | |||||||
\(678\) | 8.30564 | − | 2.43876i | 0.318976 | − | 0.0936599i | ||||
\(679\) | −0.00228256 | − | 3.27335i | −8.75967e−5 | − | 0.125620i | ||||
\(680\) | 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 | 0.990041 | + | 0.140778i | \(0.0449605\pi\) |
−0.541946 | + | 0.840413i | \(0.682312\pi\) | |||||||
\(684\) | −11.1776 | + | 7.18342i | −0.427387 | + | 0.274665i | ||||
\(685\) | −41.1823 | − | 5.92112i | −1.57349 | − | 0.226234i | ||||
\(686\) | 18.3262 | − | 2.67405i | 0.699697 | − | 0.102096i | ||||
\(687\) | −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 | ||||
\(693\) | 26.1500 | − | 16.8314i | 0.993357 | − | 0.639371i | ||||
\(694\) | 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 | ||||
\(700\) | 18.8736 | + | 16.3310i | 0.713355 | + | 0.617255i | ||||
\(701\) | 1.30455 | + | 4.44290i | 0.0492723 | + | 0.167806i | 0.980454 | − | 0.196750i | \(-0.0630388\pi\) |
−0.931181 | + | 0.364556i | \(0.881221\pi\) | |||||||
\(702\) | 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 | ||||
\(707\) | 23.5975 | − | 6.94673i | 0.887475 | − | 0.261259i | ||||
\(708\) | −1.39590 | + | 9.70868i | −0.0524610 | + | 0.364875i | ||||
\(709\) | −10.4525 | + | 16.2645i | −0.392553 | + | 0.610825i | −0.980133 | − | 0.198341i | \(-0.936445\pi\) |
0.587580 | + | 0.809166i | \(0.300081\pi\) | |||||||
\(710\) | 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 | \(-0.187425\pi\) |
−0.850646 | + | 0.525739i | \(0.823789\pi\) | |||||||
\(720\) | 3.18144 | + | 6.96638i | 0.118565 | + | 0.259622i | ||||
\(721\) | 0.612172 | − | 0.280085i | 0.0227985 | − | 0.0104309i | ||||
\(722\) | −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 | −0.960180 | − | 0.279381i | \(-0.909871\pi\) |
0.842576 | − | 0.538578i | \(-0.181038\pi\) | |||||||
\(728\) | 0.628670 | + | 1.37406i | 0.0233001 | + | 0.0509260i | ||||
\(729\) | −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 | −0.120062 | − | 0.992766i | \(-0.538309\pi\) |
0.999748 | − | 0.0224457i | \(-0.00714528\pi\) | |||||||
\(734\) | 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 | −0.305562 | + | 0.952172i | \(0.598844\pi\) |
−0.898994 | + | 0.437960i | \(0.855701\pi\) | |||||||
\(740\) | 1.94307 | − | 3.02348i | 0.0714288 | − | 0.111145i | ||||
\(741\) | −0.531465 | + | 3.69642i | −0.0195239 | + | 0.135791i | ||||
\(742\) | −10.5612 | + | 3.10905i | −0.387714 | + | 0.114137i | ||||
\(743\) | 32.8796 | − | 15.0156i | 1.20624 | − | 0.550869i | 0.292143 | − | 0.956375i | \(-0.405632\pi\) |
0.914093 | + | 0.405506i | \(0.132904\pi\) | |||||||
\(744\) | −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 | ||||
\(749\) | 8.07724 | − | 9.33477i | 0.295136 | − | 0.341085i | ||||
\(750\) | 16.5387 | − | 2.37791i | 0.603909 | − | 0.0868291i | ||||
\(751\) | 4.84583 | − | 4.19893i | 0.176827 | − | 0.153221i | −0.561951 | − | 0.827171i | \(-0.689949\pi\) |
0.738777 | + | 0.673949i | \(0.235403\pi\) | |||||||
\(752\) | −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 | ||||
\(756\) | 11.0702 | − | 7.12531i | 0.402620 | − | 0.259145i | ||||
\(757\) | −6.86795 | + | 23.3901i | −0.249620 | + | 0.850127i | 0.735392 | + | 0.677642i | \(0.236998\pi\) |
−0.985012 | + | 0.172485i | \(0.944820\pi\) | |||||||
\(758\) | 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 | −0.484090 | − | 0.875018i | \(-0.660849\pi\) |
0.880313 | − | 0.474393i | \(-0.157333\pi\) | |||||||
\(762\) | 12.4621 | + | 10.7985i | 0.451455 | + | 0.391188i | ||||
\(763\) | 22.8355 | + | 26.3165i | 0.826700 | + | 0.952720i | ||||
\(764\) | −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 | \(-0.916633\pi\) |
0.828208 | + | 0.560421i | \(0.189361\pi\) | |||||||
\(770\) | 58.6091 | − | 0.0408692i | 2.11213 | − | 0.00147282i | ||||
\(771\) | −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 | 0.997328 | + | 0.0730580i | \(0.0232758\pi\) |
−0.936346 | + | 0.351078i | \(0.885815\pi\) | |||||||
\(774\) | −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 | ||||
\(777\) | −2.25934 | − | 1.02990i | −0.0810532 | − | 0.0369475i | ||||
\(778\) | −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 | ||||||||
\(784\) | 4.59140 | + | 5.28385i | 0.163979 | + | 0.188709i | ||||
\(785\) | 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 | −0.929387 | − | 0.369107i | \(-0.879663\pi\) |
0.995730 | − | 0.0923175i | \(-0.0294275\pi\) | |||||||
\(788\) | −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 | ||||
\(791\) | −3.26955 | + | 22.8533i | −0.116252 | + | 0.812571i | ||||
\(792\) | 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 | 0.924065 | + | 0.382236i | \(0.124846\pi\) |
0.246837 | + | 0.969057i | \(0.420609\pi\) | |||||||
\(798\) | 2.47398 | + | 17.1221i | 0.0875779 | + | 0.606117i | ||||
\(799\) | 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 | ||||||||
\(805\) | −43.1621 | − | 21.4662i | −1.52126 | − | 0.756586i | ||||
\(806\) | 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 | 0.934498 | − | 0.355967i | \(-0.115848\pi\) |
0.0644057 | + | 0.997924i | \(0.479485\pi\) | |||||||
\(810\) | −0.600791 | + | 4.17859i | −0.0211096 | + | 0.146821i | ||||
\(811\) | −12.1156 | − | 18.8522i | −0.425435 | − | 0.661990i | 0.560684 | − | 0.828030i | \(-0.310538\pi\) |
−0.986119 | + | 0.166040i | \(0.946902\pi\) | |||||||
\(812\) | −2.02692 | + | 0.292870i | −0.0711309 | + | 0.0102777i | ||||
\(813\) | 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 | ||||
\(819\) | −0.431394 | + | 3.01534i | −0.0150741 | + | 0.105364i | ||||
\(820\) | 8.37471 | − | 7.25673i | 0.292458 | − | 0.253416i | ||||
\(821\) | −15.2084 | − | 33.3018i | −0.530778 | − | 1.16224i | −0.965195 | − | 0.261530i | \(-0.915773\pi\) |
0.434417 | − | 0.900712i | \(-0.356954\pi\) | |||||||
\(822\) | −9.13961 | + | 5.87367i | −0.318781 | + | 0.204868i | ||||
\(823\) | −0.866322 | + | 6.02540i | −0.0301981 | + | 0.210032i | −0.999334 | − | 0.0364954i | \(-0.988381\pi\) |
0.969136 | + | 0.246528i | \(0.0792897\pi\) | |||||||
\(824\) | 0.214054 | + | 0.137564i | 0.00745693 | + | 0.00479228i | ||||
\(825\) | 35.7337 | − | 41.2389i | 1.24409 | − | 1.43575i | ||||
\(826\) | −22.0162 | − | 14.1273i | −0.766042 | − | 0.491551i | ||||
\(827\) | 29.6147i | 1.02980i | 0.857249 | + | 0.514902i | \(0.172172\pi\) | ||||
−0.857249 | + | 0.514902i | \(0.827828\pi\) | |||||||
\(828\) | −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 | ||||
\(833\) | 29.3738 | − | 33.9948i | 1.01774 | − | 1.17785i | ||||
\(834\) | −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 | \(-0.542957\pi\) |
0.422539 | + | 0.906345i | \(0.361139\pi\) | |||||||
\(840\) | 9.97156 | − | 0.00695334i | 0.344052 | − | 0.000239913i | ||||
\(841\) | −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 | ||||
\(847\) | 45.9592 | − | 39.8801i | 1.57918 | − | 1.37030i | ||||
\(848\) | −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 | −0.710685 | − | 0.703510i | \(-0.751615\pi\) |
0.978213 | − | 0.207605i | \(-0.0665669\pi\) | |||||||
\(854\) | −10.4703 | − | 16.2671i | −0.358285 | − | 0.556648i | ||||
\(855\) | −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 | \(-0.201891\pi\) |
−0.873653 | + | 0.486550i | \(0.838255\pi\) | |||||||
\(858\) | 3.00510 | − | 1.37238i | 0.102592 | − | 0.0468523i | ||||
\(859\) | −14.5879 | + | 12.6405i | −0.497732 | + | 0.431287i | −0.867203 | − | 0.497955i | \(-0.834084\pi\) |
0.369471 | + | 0.929242i | \(0.379539\pi\) | |||||||
\(860\) | −6.31809 | + | 0.908404i | −0.215445 | + | 0.0309763i | ||||
\(861\) | −5.78933 | − | 5.00942i | −0.197300 | − | 0.170721i | ||||
\(862\) | 4.24009 | + | 14.4404i | 0.144418 | + | 0.491842i | ||||
\(863\) | −25.9267 | + | 7.61276i | −0.882555 | + | 0.259141i | −0.691447 | − | 0.722428i | \(-0.743026\pi\) |
−0.191108 | + | 0.981569i | \(0.561208\pi\) | |||||||
\(864\) | 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 | ||||
\(868\) | 18.4023 | − | 5.41734i | 0.624614 | − | 0.183877i | ||||
\(869\) | −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 | −0.564170 | − | 0.825659i | \(-0.690804\pi\) |
0.897545 | + | 0.440924i | \(0.145349\pi\) | |||||||
\(878\) | −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 | \(-0.147867\pi\) |
−0.924047 | + | 0.382278i | \(0.875140\pi\) | |||||||
\(882\) | 2.02767 | + | 13.9645i | 0.0682753 | + | 0.470209i | ||||
\(883\) | −6.57803 | − | 45.7512i | −0.221368 | − | 1.53965i | −0.732870 | − | 0.680369i | \(-0.761820\pi\) |
0.511502 | − | 0.859282i | \(-0.329089\pi\) | |||||||
\(884\) | 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 | \(-0.422496\pi\) |
−0.575580 | + | 0.817746i | \(0.695224\pi\) | |||||||
\(888\) | −0.133561 | − | 0.928934i | −0.00448200 | − | 0.0311730i | ||||
\(889\) | −39.9907 | + | 18.2969i | −1.34125 | + | 0.613657i | ||||
\(890\) | −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 | ||||
\(903\) | 1.24535 | + | 4.23037i | 0.0414427 | + | 0.140778i | ||||
\(904\) | −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 | 0.863699 | − | 0.504008i | \(-0.168142\pi\) |
0.184698 | + | 0.982795i | \(0.440869\pi\) | |||||||
\(908\) | −4.66689 | + | 1.37032i | −0.154876 | + | 0.0454758i | ||||
\(909\) | 5.28031 | + | 17.9831i | 0.175137 | + | 0.596461i | ||||
\(910\) | −3.75630 | + | 4.34112i | −0.124520 | + | 0.143907i | ||||
\(911\) | −21.7467 | + | 3.12671i | −0.720502 | + | 0.103593i | −0.492805 | − | 0.870140i | \(-0.664029\pi\) |
−0.227697 | + | 0.973732i | \(0.573119\pi\) | |||||||
\(912\) | −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 | ||||
\(917\) | −46.7176 | + | 30.0697i | −1.54275 | + | 0.992987i | ||||
\(918\) | 8.99757 | − | 30.6429i | 0.296964 | − | 1.01137i | ||||
\(919\) | 12.6873i | 0.418515i | 0.977861 | + | 0.209257i | \(0.0671046\pi\) | ||||
−0.977861 | + | 0.209257i | \(0.932895\pi\) | |||||||
\(920\) | −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 | ||||
\(924\) | 11.5592 | − | 10.0302i | 0.380270 | − | 0.329970i | ||||
\(925\) | 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 | \(-0.553465\pi\) |
0.117362 | + | 0.993089i | \(0.462556\pi\) | |||||||
\(930\) | 11.3518 | − | 24.8571i | 0.372242 | − | 0.815096i | ||||
\(931\) | −44.2876 | − | 12.9369i | −1.45147 | − | 0.423991i | ||||
\(932\) | 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 | \(-0.870657\pi\) |
−0.0220552 | + | 0.999757i | \(0.507021\pi\) | |||||||
\(938\) | −6.84943 | + | 15.0259i | −0.223642 | + | 0.490612i | ||||
\(939\) | −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 | \(-0.660546\pi\) |
−0.879861 | + | 0.475231i | \(0.842364\pi\) | |||||||
\(942\) | − | 7.95120i | − | 0.259064i | ||||||
\(943\) | −7.95632 | + | 11.5055i | −0.259093 | + | 0.374670i | ||||
\(944\) | − | 9.88718i | − | 0.321800i | ||||||
\(945\) | 42.0949 | + | 27.0113i | 1.36935 | + | 0.878677i | ||||
\(946\) | −6.41545 | + | 7.40383i | −0.208584 | + | 0.240719i | ||||
\(947\) | −38.4871 | − | 24.7341i | −1.25066 | − | 0.803751i | −0.263684 | − | 0.964609i | \(-0.584938\pi\) |
−0.986978 | + | 0.160858i | \(0.948574\pi\) | |||||||
\(948\) | −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 | ||||
\(952\) | 16.8098 | + | 2.40492i | 0.544808 | + | 0.0779439i | ||||
\(953\) | −42.8097 | − | 19.5505i | −1.38674 | − | 0.633304i | −0.424482 | − | 0.905437i | \(-0.639544\pi\) |
−0.962260 | + | 0.272133i | \(0.912271\pi\) | |||||||
\(954\) | −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 | ||||
\(959\) | −4.14353 | − | 28.6769i | −0.133801 | − | 0.926025i | ||||
\(960\) | 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 | ||||||||
\(966\) | −12.1885 | + | 3.14448i | −0.392160 | + | 0.101172i | ||||
\(967\) | 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 | −0.684015 | − | 0.729468i | \(-0.739768\pi\) |
0.861822 | − | 0.507210i | \(-0.169323\pi\) | |||||||
\(972\) | 8.66657 | + | 13.4854i | 0.277980 | + | 0.432546i | ||||
\(973\) | −2.07519 | − | 14.3621i | −0.0665275 | − | 0.460429i | ||||
\(974\) | 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 | 0.999967 | − | 0.00813025i | \(-0.00258797\pi\) |
−0.845621 | + | 0.533783i | \(0.820770\pi\) | |||||||
\(978\) | 5.05101 | + | 17.2021i | 0.161513 | + | 0.550064i | ||||
\(979\) | −46.4848 | − | 21.2289i | −1.48566 | − | 0.678478i | ||||
\(980\) | −11.0137 | + | 24.2060i | −0.351821 | + | 0.773233i | ||||
\(981\) | −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 | \(-0.542573\pi\) |
0.846113 | + | 0.533004i | \(0.178937\pi\) | |||||||
\(984\) | 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 | ||||
\(987\) | −1.53589 | + | 2.39356i | −0.0488879 | + | 0.0761879i | ||||
\(988\) | − | 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 | −0.203537 | − | 0.979067i | \(-0.565244\pi\) |
−0.700550 | + | 0.713603i | \(0.747062\pi\) | |||||||
\(992\) | 5.47959 | + | 4.74809i | 0.173977 | + | 0.150752i | ||||
\(993\) | 14.6739 | − | 22.8331i | 0.465663 | − | 0.724586i | ||||
\(994\) | 22.7602 | + | 10.3751i | 0.721910 | + | 0.329077i | ||||
\(995\) | 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 | \(-0.682888\pi\) |
0.753545 | + | 0.657397i | \(0.228342\pi\) | |||||||
\(998\) | −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.97.3 | yes | 80 | |
7.6 | odd | 2 | inner | 322.2.k.a.97.6 | yes | 80 | |
23.14 | odd | 22 | inner | 322.2.k.a.83.6 | yes | 80 | |
161.83 | even | 22 | inner | 322.2.k.a.83.3 | ✓ | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
322.2.k.a.83.3 | ✓ | 80 | 161.83 | even | 22 | inner | |
322.2.k.a.83.6 | yes | 80 | 23.14 | odd | 22 | inner | |
322.2.k.a.97.3 | yes | 80 | 1.1 | even | 1 | trivial | |
322.2.k.a.97.6 | yes | 80 | 7.6 | odd | 2 | inner |