Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(25,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.y (of order \(33\), degree \(20\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 121.6 | ||
Character | \(\chi\) | \(=\) | 966.121 |
Dual form | 966.2.y.b.487.6 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.580057 | − | 0.814576i | −0.410162 | − | 0.575992i | ||||
\(3\) | 0.235759 | + | 0.971812i | 0.136115 | + | 0.561076i | ||||
\(4\) | −0.327068 | + | 0.945001i | −0.163534 | + | 0.472500i | ||||
\(5\) | 0.0618096 | + | 1.29754i | 0.0276421 | + | 0.580279i | 0.969622 | + | 0.244609i | \(0.0786596\pi\) |
−0.941980 | + | 0.335670i | \(0.891037\pi\) | |||||||
\(6\) | 0.654861 | − | 0.755750i | 0.267346 | − | 0.308533i | ||||
\(7\) | −1.05626 | − | 2.42576i | −0.399228 | − | 0.916852i | ||||
\(8\) | 0.959493 | − | 0.281733i | 0.339232 | − | 0.0996075i | ||||
\(9\) | −0.888835 | + | 0.458227i | −0.296278 | + | 0.152742i | ||||
\(10\) | 1.02109 | − | 0.802998i | 0.322898 | − | 0.253930i | ||||
\(11\) | −0.839986 | + | 1.17960i | −0.253265 | + | 0.355661i | −0.921560 | − | 0.388235i | \(-0.873085\pi\) |
0.668295 | + | 0.743896i | \(0.267024\pi\) | |||||||
\(12\) | −0.995472 | − | 0.0950560i | −0.287368 | − | 0.0274403i | ||||
\(13\) | −0.0709830 | − | 0.493698i | −0.0196871 | − | 0.136927i | 0.977607 | − | 0.210438i | \(-0.0674889\pi\) |
−0.997294 | + | 0.0735105i | \(0.976580\pi\) | |||||||
\(14\) | −1.36328 | + | 2.26748i | −0.364351 | + | 0.606010i | ||||
\(15\) | −1.24640 | + | 0.365975i | −0.321818 | + | 0.0944943i | ||||
\(16\) | −0.786053 | − | 0.618159i | −0.196513 | − | 0.154540i | ||||
\(17\) | −5.82416 | − | 1.12251i | −1.41257 | − | 0.272250i | −0.574806 | − | 0.818290i | \(-0.694923\pi\) |
−0.837759 | + | 0.546040i | \(0.816135\pi\) | |||||||
\(18\) | 0.888835 | + | 0.458227i | 0.209501 | + | 0.108005i | ||||
\(19\) | −4.66793 | + | 0.899670i | −1.07090 | + | 0.206398i | −0.694086 | − | 0.719892i | \(-0.744191\pi\) |
−0.376811 | + | 0.926290i | \(0.622979\pi\) | |||||||
\(20\) | −1.24640 | − | 0.365975i | −0.278702 | − | 0.0818344i | ||||
\(21\) | 2.10836 | − | 1.59838i | 0.460082 | − | 0.348795i | ||||
\(22\) | 1.44811 | 0.308738 | ||||||||
\(23\) | 0.610413 | + | 4.75683i | 0.127280 | + | 0.991867i | ||||
\(24\) | 0.500000 | + | 0.866025i | 0.102062 | + | 0.176777i | ||||
\(25\) | 3.29756 | − | 0.314879i | 0.659512 | − | 0.0629758i | ||||
\(26\) | −0.360980 | + | 0.344194i | −0.0707940 | + | 0.0675020i | ||||
\(27\) | −0.654861 | − | 0.755750i | −0.126028 | − | 0.145444i | ||||
\(28\) | 2.63781 | − | 0.204776i | 0.498500 | − | 0.0386991i | ||||
\(29\) | 3.79071 | − | 4.37471i | 0.703917 | − | 0.812364i | −0.285359 | − | 0.958421i | \(-0.592113\pi\) |
0.989276 | + | 0.146057i | \(0.0466583\pi\) | |||||||
\(30\) | 1.02109 | + | 0.802998i | 0.186426 | + | 0.146607i | ||||
\(31\) | −4.72819 | − | 4.50832i | −0.849207 | − | 0.809718i | 0.134233 | − | 0.990950i | \(-0.457143\pi\) |
−0.983440 | + | 0.181232i | \(0.941991\pi\) | |||||||
\(32\) | −0.0475819 | + | 0.998867i | −0.00841137 | + | 0.176576i | ||||
\(33\) | −1.34438 | − | 0.538208i | −0.234026 | − | 0.0936900i | ||||
\(34\) | 2.46397 | + | 5.39534i | 0.422567 | + | 0.925293i | ||||
\(35\) | 3.08224 | − | 1.52048i | 0.520994 | − | 0.257007i | ||||
\(36\) | −0.142315 | − | 0.989821i | −0.0237191 | − | 0.164970i | ||||
\(37\) | −6.77356 | + | 3.49201i | −1.11357 | + | 0.574084i | −0.913965 | − | 0.405793i | \(-0.866995\pi\) |
−0.199602 | + | 0.979877i | \(0.563965\pi\) | |||||||
\(38\) | 3.44052 | + | 3.28052i | 0.558125 | + | 0.532171i | ||||
\(39\) | 0.463046 | − | 0.185376i | 0.0741467 | − | 0.0296839i | ||||
\(40\) | 0.424866 | + | 1.22757i | 0.0671772 | + | 0.194096i | ||||
\(41\) | 1.87372 | − | 1.20417i | 0.292626 | − | 0.188059i | −0.386088 | − | 0.922462i | \(-0.626174\pi\) |
0.678714 | + | 0.734403i | \(0.262538\pi\) | |||||||
\(42\) | −2.52497 | − | 0.790269i | −0.389611 | − | 0.121941i | ||||
\(43\) | −10.0338 | − | 2.94619i | −1.53014 | − | 0.449289i | −0.595045 | − | 0.803692i | \(-0.702866\pi\) |
−0.935093 | + | 0.354403i | \(0.884684\pi\) | |||||||
\(44\) | −0.839986 | − | 1.17960i | −0.126633 | − | 0.177831i | ||||
\(45\) | −0.649507 | − | 1.12498i | −0.0968228 | − | 0.167702i | ||||
\(46\) | 3.52072 | − | 3.25646i | 0.519102 | − | 0.480139i | ||||
\(47\) | 2.70142 | − | 4.67899i | 0.394042 | − | 0.682501i | −0.598936 | − | 0.800797i | \(-0.704410\pi\) |
0.992978 | + | 0.118296i | \(0.0377430\pi\) | |||||||
\(48\) | 0.415415 | − | 0.909632i | 0.0599600 | − | 0.131294i | ||||
\(49\) | −4.76864 | + | 5.12446i | −0.681234 | + | 0.732066i | ||||
\(50\) | −2.16927 | − | 2.50347i | −0.306781 | − | 0.354044i | ||||
\(51\) | −0.282225 | − | 5.92463i | −0.0395194 | − | 0.829613i | ||||
\(52\) | 0.489761 | + | 0.0943937i | 0.0679176 | + | 0.0130900i | ||||
\(53\) | −9.62864 | + | 3.85473i | −1.32260 | + | 0.529487i | −0.922150 | − | 0.386833i | \(-0.873569\pi\) |
−0.400446 | + | 0.916320i | \(0.631145\pi\) | |||||||
\(54\) | −0.235759 | + | 0.971812i | −0.0320827 | + | 0.132247i | ||||
\(55\) | −1.58250 | − | 1.01701i | −0.213384 | − | 0.137133i | ||||
\(56\) | −1.69689 | − | 2.02992i | −0.226756 | − | 0.271259i | ||||
\(57\) | −1.97482 | − | 4.32424i | −0.261571 | − | 0.572760i | ||||
\(58\) | −5.76236 | − | 0.550239i | −0.756635 | − | 0.0722499i | ||||
\(59\) | −2.07163 | + | 1.62915i | −0.269703 | + | 0.212097i | −0.743846 | − | 0.668351i | \(-0.767000\pi\) |
0.474143 | + | 0.880448i | \(0.342758\pi\) | |||||||
\(60\) | 0.0618096 | − | 1.29754i | 0.00797959 | − | 0.167512i | ||||
\(61\) | 3.19386 | − | 13.1653i | 0.408932 | − | 1.68564i | −0.279342 | − | 0.960192i | \(-0.590116\pi\) |
0.688275 | − | 0.725450i | \(-0.258368\pi\) | |||||||
\(62\) | −0.929749 | + | 6.46655i | −0.118078 | + | 0.821252i | ||||
\(63\) | 2.05039 | + | 1.67210i | 0.258325 | + | 0.210664i | ||||
\(64\) | 0.841254 | − | 0.540641i | 0.105157 | − | 0.0675801i | ||||
\(65\) | 0.636207 | − | 0.122619i | 0.0789117 | − | 0.0152090i | ||||
\(66\) | 0.341405 | + | 1.40729i | 0.0420240 | + | 0.173225i | ||||
\(67\) | −6.23227 | + | 0.595110i | −0.761393 | + | 0.0727042i | −0.468527 | − | 0.883449i | \(-0.655215\pi\) |
−0.292866 | + | 0.956153i | \(0.594609\pi\) | |||||||
\(68\) | 2.96567 | − | 5.13669i | 0.359641 | − | 0.622916i | ||||
\(69\) | −4.47883 | + | 1.71467i | −0.539188 | + | 0.206422i | ||||
\(70\) | −3.02642 | − | 1.62876i | −0.361726 | − | 0.194674i | ||||
\(71\) | −3.70704 | + | 8.11729i | −0.439945 | + | 0.963346i | 0.551663 | + | 0.834067i | \(0.313993\pi\) |
−0.991608 | + | 0.129279i | \(0.958734\pi\) | |||||||
\(72\) | −0.723734 | + | 0.690079i | −0.0852929 | + | 0.0813266i | ||||
\(73\) | 3.09709 | − | 8.94847i | 0.362488 | − | 1.04734i | −0.605393 | − | 0.795927i | \(-0.706984\pi\) |
0.967880 | − | 0.251412i | \(-0.0808949\pi\) | |||||||
\(74\) | 6.77356 | + | 3.49201i | 0.787411 | + | 0.405938i | ||||
\(75\) | 1.08343 | + | 3.13037i | 0.125104 | + | 0.361464i | ||||
\(76\) | 0.676542 | − | 4.70545i | 0.0776047 | − | 0.539752i | ||||
\(77\) | 3.74866 | + | 0.791648i | 0.427199 | + | 0.0902167i | ||||
\(78\) | −0.419596 | − | 0.269658i | −0.0475099 | − | 0.0305327i | ||||
\(79\) | −8.64564 | − | 3.46119i | −0.972711 | − | 0.389415i | −0.169777 | − | 0.985483i | \(-0.554305\pi\) |
−0.802934 | + | 0.596068i | \(0.796729\pi\) | |||||||
\(80\) | 0.753502 | − | 1.05815i | 0.0842441 | − | 0.118304i | ||||
\(81\) | 0.580057 | − | 0.814576i | 0.0644508 | − | 0.0905084i | ||||
\(82\) | −2.06775 | − | 0.827803i | −0.228345 | − | 0.0914155i | ||||
\(83\) | 11.0748 | + | 7.11732i | 1.21561 | + | 0.781228i | 0.981589 | − | 0.191003i | \(-0.0611740\pi\) |
0.234025 | + | 0.972231i | \(0.424810\pi\) | |||||||
\(84\) | 0.820892 | + | 2.51518i | 0.0895667 | + | 0.274429i | ||||
\(85\) | 1.09652 | − | 7.62648i | 0.118935 | − | 0.827208i | ||||
\(86\) | 3.42028 | + | 9.88224i | 0.368818 | + | 1.06563i | ||||
\(87\) | 5.14509 | + | 2.65248i | 0.551611 | + | 0.284375i | ||||
\(88\) | −0.473630 | + | 1.36847i | −0.0504892 | + | 0.145879i | ||||
\(89\) | −1.23096 | + | 1.17372i | −0.130482 | + | 0.124414i | −0.752510 | − | 0.658580i | \(-0.771157\pi\) |
0.622029 | + | 0.782994i | \(0.286309\pi\) | |||||||
\(90\) | −0.539630 | + | 1.18163i | −0.0568820 | + | 0.124554i | ||||
\(91\) | −1.12262 | + | 0.693660i | −0.117682 | + | 0.0727153i | ||||
\(92\) | −4.69485 | − | 0.978964i | −0.489472 | − | 0.102064i | ||||
\(93\) | 3.26652 | − | 5.65778i | 0.338723 | − | 0.586685i | ||||
\(94\) | −5.37837 | + | 0.513572i | −0.554737 | + | 0.0529709i | ||||
\(95\) | −1.45588 | − | 6.00124i | −0.149371 | − | 0.615714i | ||||
\(96\) | −0.981929 | + | 0.189251i | −0.100218 | + | 0.0193154i | ||||
\(97\) | −4.31185 | + | 2.77106i | −0.437802 | + | 0.281358i | −0.740918 | − | 0.671595i | \(-0.765609\pi\) |
0.303116 | + | 0.952954i | \(0.401973\pi\) | |||||||
\(98\) | 6.94034 | + | 0.911938i | 0.701081 | + | 0.0921196i | ||||
\(99\) | 0.206088 | − | 1.43337i | 0.0207126 | − | 0.144059i | ||||
\(100\) | −0.780966 | + | 3.21918i | −0.0780966 | + | 0.321918i | ||||
\(101\) | 0.561400 | − | 11.7852i | 0.0558614 | − | 1.17267i | −0.780738 | − | 0.624859i | \(-0.785156\pi\) |
0.836599 | − | 0.547816i | \(-0.184541\pi\) | |||||||
\(102\) | −4.66235 | + | 3.66651i | −0.461642 | + | 0.363039i | ||||
\(103\) | 10.5504 | + | 1.00744i | 1.03956 | + | 0.0992658i | 0.600849 | − | 0.799363i | \(-0.294829\pi\) |
0.438710 | + | 0.898629i | \(0.355436\pi\) | |||||||
\(104\) | −0.207198 | − | 0.453701i | −0.0203175 | − | 0.0444891i | ||||
\(105\) | 2.20428 | + | 2.63689i | 0.215116 | + | 0.257335i | ||||
\(106\) | 8.72513 | + | 5.60730i | 0.847459 | + | 0.544629i | ||||
\(107\) | −2.28521 | + | 9.41975i | −0.220919 | + | 0.910642i | 0.748086 | + | 0.663602i | \(0.230973\pi\) |
−0.969005 | + | 0.247040i | \(0.920542\pi\) | |||||||
\(108\) | 0.928368 | − | 0.371662i | 0.0893322 | − | 0.0357632i | ||||
\(109\) | −18.5907 | − | 3.58306i | −1.78066 | − | 0.343195i | −0.810517 | − | 0.585715i | \(-0.800814\pi\) |
−0.970146 | + | 0.242520i | \(0.922026\pi\) | |||||||
\(110\) | 0.0895071 | + | 1.87899i | 0.00853417 | + | 0.179154i | ||||
\(111\) | −4.99051 | − | 5.75935i | −0.473678 | − | 0.546654i | ||||
\(112\) | −0.669231 | + | 2.55971i | −0.0632364 | + | 0.241870i | ||||
\(113\) | −1.86380 | + | 4.08115i | −0.175331 | + | 0.383922i | −0.976812 | − | 0.214098i | \(-0.931319\pi\) |
0.801481 | + | 0.598021i | \(0.204046\pi\) | |||||||
\(114\) | −2.37692 | + | 4.11695i | −0.222619 | + | 0.385587i | ||||
\(115\) | −6.13446 | + | 1.08606i | −0.572041 | + | 0.101275i | ||||
\(116\) | 2.89429 | + | 5.01305i | 0.268728 | + | 0.465450i | ||||
\(117\) | 0.289318 | + | 0.406290i | 0.0267474 | + | 0.0375615i | ||||
\(118\) | 2.52873 | + | 0.742502i | 0.232788 | + | 0.0683528i | ||||
\(119\) | 3.42886 | + | 15.3137i | 0.314323 | + | 1.40380i | ||||
\(120\) | −1.09280 | + | 0.702300i | −0.0997586 | + | 0.0641110i | ||||
\(121\) | 2.91188 | + | 8.41332i | 0.264716 | + | 0.764847i | ||||
\(122\) | −12.5767 | + | 5.03497i | −1.13864 | + | 0.455845i | ||||
\(123\) | 1.61197 | + | 1.53701i | 0.145347 | + | 0.138588i | ||||
\(124\) | 5.80680 | − | 2.99361i | 0.521466 | − | 0.268835i | ||||
\(125\) | 1.53674 | + | 10.6882i | 0.137450 | + | 0.955984i | ||||
\(126\) | 0.172708 | − | 2.64011i | 0.0153861 | − | 0.235200i | ||||
\(127\) | 2.96428 | + | 6.49087i | 0.263038 | + | 0.575972i | 0.994360 | − | 0.106060i | \(-0.0338237\pi\) |
−0.731322 | + | 0.682032i | \(0.761096\pi\) | |||||||
\(128\) | −0.928368 | − | 0.371662i | −0.0820569 | − | 0.0328506i | ||||
\(129\) | 0.497582 | − | 10.4455i | 0.0438097 | − | 0.919678i | ||||
\(130\) | −0.468918 | − | 0.447113i | −0.0411269 | − | 0.0392144i | ||||
\(131\) | −10.3564 | − | 8.14436i | −0.904843 | − | 0.711576i | 0.0530836 | − | 0.998590i | \(-0.483095\pi\) |
−0.957926 | + | 0.287014i | \(0.907337\pi\) | |||||||
\(132\) | 0.948310 | − | 1.09441i | 0.0825398 | − | 0.0952560i | ||||
\(133\) | 7.11293 | + | 10.3730i | 0.616769 | + | 0.899454i | ||||
\(134\) | 4.09983 | + | 4.73146i | 0.354172 | + | 0.408736i | ||||
\(135\) | 0.940141 | − | 0.896423i | 0.0809145 | − | 0.0771518i | ||||
\(136\) | −5.90449 | + | 0.563810i | −0.506305 | + | 0.0483463i | ||||
\(137\) | 7.75553 | + | 13.4330i | 0.662599 | + | 1.14766i | 0.979930 | + | 0.199341i | \(0.0638801\pi\) |
−0.317331 | + | 0.948315i | \(0.602787\pi\) | |||||||
\(138\) | 3.99471 | + | 2.65374i | 0.340052 | + | 0.225901i | ||||
\(139\) | −16.1168 | −1.36701 | −0.683503 | − | 0.729948i | \(-0.739544\pi\) | ||||
−0.683503 | + | 0.729948i | \(0.739544\pi\) | |||||||
\(140\) | 0.428748 | + | 3.41002i | 0.0362358 | + | 0.288199i | ||||
\(141\) | 5.18398 | + | 1.52215i | 0.436570 | + | 0.128189i | ||||
\(142\) | 8.76245 | − | 1.68882i | 0.735328 | − | 0.141723i | ||||
\(143\) | 0.641988 | + | 0.330968i | 0.0536858 | + | 0.0276769i | ||||
\(144\) | 0.981929 | + | 0.189251i | 0.0818274 | + | 0.0157709i | ||||
\(145\) | 5.91068 | + | 4.64821i | 0.490855 | + | 0.386013i | ||||
\(146\) | −9.08570 | + | 2.66780i | −0.751938 | + | 0.220789i | ||||
\(147\) | −6.10426 | − | 3.42608i | −0.503471 | − | 0.282578i | ||||
\(148\) | −1.08454 | − | 7.54315i | −0.0891487 | − | 0.620043i | ||||
\(149\) | 21.1784 | + | 2.02229i | 1.73500 | + | 0.165673i | 0.914125 | − | 0.405432i | \(-0.132879\pi\) |
0.820877 | + | 0.571105i | \(0.193485\pi\) | |||||||
\(150\) | 1.92147 | − | 2.69833i | 0.156888 | − | 0.220318i | ||||
\(151\) | 5.53022 | − | 4.34901i | 0.450043 | − | 0.353918i | −0.367267 | − | 0.930115i | \(-0.619707\pi\) |
0.817310 | + | 0.576198i | \(0.195464\pi\) | |||||||
\(152\) | −4.22538 | + | 2.17834i | −0.342724 | + | 0.176686i | ||||
\(153\) | 5.69108 | − | 1.67105i | 0.460097 | − | 0.135097i | ||||
\(154\) | −1.52958 | − | 3.51277i | −0.123257 | − | 0.283067i | ||||
\(155\) | 5.55749 | − | 6.41368i | 0.446388 | − | 0.515160i | ||||
\(156\) | 0.0237326 | + | 0.498210i | 0.00190013 | + | 0.0398887i | ||||
\(157\) | −0.587925 | + | 1.69870i | −0.0469216 | + | 0.135571i | −0.966027 | − | 0.258440i | \(-0.916792\pi\) |
0.919106 | + | 0.394011i | \(0.128913\pi\) | |||||||
\(158\) | 2.19556 | + | 9.05022i | 0.174669 | + | 0.719997i | ||||
\(159\) | −6.01611 | − | 8.44844i | −0.477108 | − | 0.670005i | ||||
\(160\) | −1.29901 | −0.102696 | ||||||||
\(161\) | 10.8942 | − | 6.50515i | 0.858581 | − | 0.512678i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 0.264573 | + | 0.371540i | 0.0207229 | + | 0.0291013i | 0.824807 | − | 0.565414i | \(-0.191283\pi\) |
−0.804085 | + | 0.594515i | \(0.797344\pi\) | |||||||
\(164\) | 0.525105 | + | 2.16451i | 0.0410038 | + | 0.169020i | ||||
\(165\) | 0.615253 | − | 1.77766i | 0.0478974 | − | 0.138390i | ||||
\(166\) | −0.626397 | − | 13.1497i | −0.0486178 | − | 1.02061i | ||||
\(167\) | −6.38534 | + | 7.36908i | −0.494113 | + | 0.570236i | −0.946960 | − | 0.321352i | \(-0.895863\pi\) |
0.452847 | + | 0.891588i | \(0.350408\pi\) | |||||||
\(168\) | 1.57264 | − | 2.12763i | 0.121332 | − | 0.164150i | ||||
\(169\) | 12.2347 | − | 3.59243i | 0.941132 | − | 0.276341i | ||||
\(170\) | −6.84839 | + | 3.53059i | −0.525248 | + | 0.270784i | ||||
\(171\) | 3.73677 | − | 2.93863i | 0.285758 | − | 0.224723i | ||||
\(172\) | 6.06588 | − | 8.51833i | 0.462519 | − | 0.649517i | ||||
\(173\) | −0.000180050 | 0 | 1.71926e-5i | −1.36889e−5 | 0 | 1.30713e-6i | 0.0950492 | − | 0.995473i | \(-0.469699\pi\) |
−0.0950629 | + | 0.995471i | \(0.530305\pi\) | |||||||
\(174\) | −0.823800 | − | 5.72965i | −0.0624521 | − | 0.434364i | ||||
\(175\) | −4.24690 | − | 7.66650i | −0.321035 | − | 0.579533i | ||||
\(176\) | 1.38945 | − | 0.407980i | 0.104734 | − | 0.0307526i | ||||
\(177\) | −2.07163 | − | 1.62915i | −0.155713 | − | 0.122454i | ||||
\(178\) | 1.67011 | + | 0.321888i | 0.125180 | + | 0.0241265i | ||||
\(179\) | −6.64414 | − | 3.42529i | −0.496606 | − | 0.256018i | 0.191680 | − | 0.981457i | \(-0.438606\pi\) |
−0.688286 | + | 0.725439i | \(0.741637\pi\) | |||||||
\(180\) | 1.27554 | − | 0.245840i | 0.0950731 | − | 0.0183238i | ||||
\(181\) | 25.2156 | + | 7.40396i | 1.87426 | + | 0.550332i | 0.997602 | + | 0.0692135i | \(0.0220490\pi\) |
0.876656 | + | 0.481118i | \(0.159769\pi\) | |||||||
\(182\) | 1.21622 | + | 0.512094i | 0.0901522 | + | 0.0379589i | ||||
\(183\) | 13.5472 | 1.00143 | ||||||||
\(184\) | 1.92584 | + | 4.39217i | 0.141975 | + | 0.323795i | ||||
\(185\) | −4.94971 | − | 8.57315i | −0.363910 | − | 0.630311i | ||||
\(186\) | −6.50346 | + | 0.621005i | −0.476857 | + | 0.0455343i | ||||
\(187\) | 6.21632 | − | 5.92725i | 0.454583 | − | 0.433444i | ||||
\(188\) | 3.53810 | + | 4.08319i | 0.258043 | + | 0.297797i | ||||
\(189\) | −1.14157 | + | 2.38680i | −0.0830367 | + | 0.173614i | ||||
\(190\) | −4.04397 | + | 4.66699i | −0.293380 | + | 0.338579i | ||||
\(191\) | 5.11345 | + | 4.02126i | 0.369996 | + | 0.290968i | 0.785793 | − | 0.618489i | \(-0.212255\pi\) |
−0.415797 | + | 0.909457i | \(0.636497\pi\) | |||||||
\(192\) | 0.723734 | + | 0.690079i | 0.0522310 | + | 0.0498022i | ||||
\(193\) | −0.732377 | + | 15.3745i | −0.0527176 | + | 1.10668i | 0.805237 | + | 0.592953i | \(0.202038\pi\) |
−0.857954 | + | 0.513726i | \(0.828265\pi\) | |||||||
\(194\) | 4.75836 | + | 1.90496i | 0.341630 | + | 0.136768i | ||||
\(195\) | 0.269154 | + | 0.589365i | 0.0192745 | + | 0.0422053i | ||||
\(196\) | −3.28295 | − | 6.18241i | −0.234497 | − | 0.441601i | ||||
\(197\) | 0.678120 | + | 4.71643i | 0.0483141 | + | 0.336032i | 0.999614 | + | 0.0277662i | \(0.00883940\pi\) |
−0.951300 | + | 0.308265i | \(0.900252\pi\) | |||||||
\(198\) | −1.28713 | + | 0.663562i | −0.0914724 | + | 0.0471573i | ||||
\(199\) | 16.4108 | + | 15.6476i | 1.16333 | + | 1.10923i | 0.992286 | + | 0.123967i | \(0.0395617\pi\) |
0.171042 | + | 0.985264i | \(0.445287\pi\) | |||||||
\(200\) | 3.07528 | − | 1.23115i | 0.217455 | − | 0.0870558i | ||||
\(201\) | −2.04765 | − | 5.91629i | −0.144430 | − | 0.417303i | ||||
\(202\) | −9.92561 | + | 6.37881i | −0.698364 | + | 0.448811i | ||||
\(203\) | −14.6160 | − | 4.57453i | −1.02584 | − | 0.321069i | ||||
\(204\) | 5.69108 | + | 1.67105i | 0.398455 | + | 0.116997i | ||||
\(205\) | 1.67827 | + | 2.35681i | 0.117216 | + | 0.164607i | ||||
\(206\) | −5.29918 | − | 9.17845i | −0.369211 | − | 0.639493i | ||||
\(207\) | −2.72226 | − | 3.94833i | −0.189210 | − | 0.274428i | ||||
\(208\) | −0.249387 | + | 0.431951i | −0.0172919 | + | 0.0299504i | ||||
\(209\) | 2.85975 | − | 6.26198i | 0.197813 | − | 0.433150i | ||||
\(210\) | 0.869341 | − | 3.32510i | 0.0599902 | − | 0.229454i | ||||
\(211\) | −17.9387 | − | 20.7024i | −1.23495 | − | 1.42521i | −0.869171 | − | 0.494511i | \(-0.835347\pi\) |
−0.365782 | − | 0.930701i | \(-0.619198\pi\) | |||||||
\(212\) | −0.493500 | − | 10.3598i | −0.0338937 | − | 0.711516i | ||||
\(213\) | −8.76245 | − | 1.68882i | −0.600393 | − | 0.115716i | ||||
\(214\) | 8.99866 | − | 3.60252i | 0.615135 | − | 0.246263i | ||||
\(215\) | 3.20262 | − | 13.2014i | 0.218417 | − | 0.900326i | ||||
\(216\) | −0.841254 | − | 0.540641i | −0.0572401 | − | 0.0367859i | ||||
\(217\) | −5.94191 | + | 16.2314i | −0.403363 | + | 1.10186i | ||||
\(218\) | 7.86497 | + | 17.2219i | 0.532683 | + | 1.16641i | ||||
\(219\) | 9.42639 | + | 0.900111i | 0.636977 | + | 0.0608239i | ||||
\(220\) | 1.47866 | − | 1.16283i | 0.0996910 | − | 0.0783979i | ||||
\(221\) | −0.140766 | + | 2.95505i | −0.00946898 | + | 0.198778i | ||||
\(222\) | −1.79665 | + | 7.40590i | −0.120583 | + | 0.497052i | ||||
\(223\) | 3.08686 | − | 21.4696i | 0.206711 | − | 1.43771i | −0.577082 | − | 0.816686i | \(-0.695809\pi\) |
0.783793 | − | 0.621022i | \(-0.213282\pi\) | |||||||
\(224\) | 2.47327 | − | 0.939640i | 0.165252 | − | 0.0627823i | ||||
\(225\) | −2.78670 | + | 1.79091i | −0.185780 | + | 0.119394i | ||||
\(226\) | 4.40551 | − | 0.849093i | 0.293050 | − | 0.0564808i | ||||
\(227\) | −3.42083 | − | 14.1009i | −0.227049 | − | 0.935907i | −0.965250 | − | 0.261327i | \(-0.915840\pi\) |
0.738202 | − | 0.674580i | \(-0.235675\pi\) | |||||||
\(228\) | 4.73231 | − | 0.451881i | 0.313405 | − | 0.0299266i | ||||
\(229\) | 4.03838 | − | 6.99468i | 0.266864 | − | 0.462221i | −0.701187 | − | 0.712978i | \(-0.747346\pi\) |
0.968050 | + | 0.250757i | \(0.0806794\pi\) | |||||||
\(230\) | 4.44301 | + | 4.36701i | 0.292963 | + | 0.287952i | ||||
\(231\) | 0.114447 | + | 3.82963i | 0.00753005 | + | 0.251971i | ||||
\(232\) | 2.40466 | − | 5.26547i | 0.157874 | − | 0.345695i | ||||
\(233\) | 10.4622 | − | 9.97569i | 0.685401 | − | 0.653529i | −0.265110 | − | 0.964218i | \(-0.585408\pi\) |
0.950512 | + | 0.310689i | \(0.100560\pi\) | |||||||
\(234\) | 0.163133 | − | 0.471342i | 0.0106643 | − | 0.0308126i | ||||
\(235\) | 6.23817 | + | 3.21600i | 0.406933 | + | 0.209789i | ||||
\(236\) | −0.861983 | − | 2.49054i | −0.0561103 | − | 0.162120i | ||||
\(237\) | 1.32534 | − | 9.21794i | 0.0860901 | − | 0.598770i | ||||
\(238\) | 10.4852 | − | 11.6759i | 0.679656 | − | 0.756834i | ||||
\(239\) | 1.22597 | + | 0.787884i | 0.0793015 | + | 0.0509640i | 0.579691 | − | 0.814837i | \(-0.303173\pi\) |
−0.500389 | + | 0.865801i | \(0.666810\pi\) | |||||||
\(240\) | 1.20596 | + | 0.482795i | 0.0778446 | + | 0.0311643i | ||||
\(241\) | 4.00729 | − | 5.62746i | 0.258132 | − | 0.362496i | −0.665089 | − | 0.746764i | \(-0.731607\pi\) |
0.923222 | + | 0.384267i | \(0.125546\pi\) | |||||||
\(242\) | 5.16423 | − | 7.25215i | 0.331970 | − | 0.466186i | ||||
\(243\) | 0.928368 | + | 0.371662i | 0.0595548 | + | 0.0238422i | ||||
\(244\) | 11.3966 | + | 7.32415i | 0.729592 | + | 0.468880i | ||||
\(245\) | −6.94396 | − | 5.87077i | −0.443633 | − | 0.375070i | ||||
\(246\) | 0.316978 | − | 2.20463i | 0.0202097 | − | 0.140562i | ||||
\(247\) | 0.775509 | + | 2.24069i | 0.0493444 | + | 0.142571i | ||||
\(248\) | −5.80680 | − | 2.99361i | −0.368732 | − | 0.190095i | ||||
\(249\) | −4.30572 | + | 12.4406i | −0.272864 | + | 0.788389i | ||||
\(250\) | 7.81498 | − | 7.45157i | 0.494263 | − | 0.471279i | ||||
\(251\) | 0.527118 | − | 1.15423i | 0.0332714 | − | 0.0728542i | −0.892267 | − | 0.451509i | \(-0.850886\pi\) |
0.925538 | + | 0.378655i | \(0.123613\pi\) | |||||||
\(252\) | −2.25075 | + | 1.39073i | −0.141784 | + | 0.0876077i | ||||
\(253\) | −6.12387 | − | 3.27563i | −0.385004 | − | 0.205937i | ||||
\(254\) | 3.56786 | − | 6.17971i | 0.223867 | − | 0.387749i | ||||
\(255\) | 7.67001 | − | 0.732398i | 0.480315 | − | 0.0458645i | ||||
\(256\) | 0.235759 | + | 0.971812i | 0.0147349 | + | 0.0607382i | ||||
\(257\) | 11.4235 | − | 2.20171i | 0.712581 | − | 0.137339i | 0.179937 | − | 0.983678i | \(-0.442411\pi\) |
0.532644 | + | 0.846340i | \(0.321199\pi\) | |||||||
\(258\) | −8.79731 | + | 5.65369i | −0.547697 | + | 0.351983i | ||||
\(259\) | 15.6254 | + | 12.7426i | 0.970917 | + | 0.791785i | ||||
\(260\) | −0.0922080 | + | 0.641320i | −0.00571850 | + | 0.0397730i | ||||
\(261\) | −1.36471 | + | 5.62540i | −0.0844733 | + | 0.348204i | ||||
\(262\) | −0.626901 | + | 13.1603i | −0.0387301 | + | 0.813044i | ||||
\(263\) | −18.9586 | + | 14.9092i | −1.16904 | + | 0.919340i | −0.997827 | − | 0.0658952i | \(-0.979010\pi\) |
−0.171209 | + | 0.985235i | \(0.554767\pi\) | |||||||
\(264\) | −1.44155 | − | 0.137652i | −0.0887214 | − | 0.00847187i | ||||
\(265\) | −5.59682 | − | 12.2553i | −0.343810 | − | 0.752838i | ||||
\(266\) | 4.32370 | − | 11.8110i | 0.265103 | − | 0.724176i | ||||
\(267\) | −1.43084 | − | 0.919548i | −0.0875663 | − | 0.0562754i | ||||
\(268\) | 1.47600 | − | 6.08414i | 0.0901609 | − | 0.371648i | ||||
\(269\) | −1.87466 | + | 0.750499i | −0.114300 | + | 0.0457587i | −0.428107 | − | 0.903728i | \(-0.640820\pi\) |
0.313808 | + | 0.949487i | \(0.398395\pi\) | |||||||
\(270\) | −1.27554 | − | 0.245840i | −0.0776269 | − | 0.0149614i | ||||
\(271\) | 0.892487 | + | 18.7356i | 0.0542148 | + | 1.13811i | 0.848030 | + | 0.529948i | \(0.177789\pi\) |
−0.793815 | + | 0.608159i | \(0.791908\pi\) | |||||||
\(272\) | 3.88420 | + | 4.48261i | 0.235514 | + | 0.271798i | ||||
\(273\) | −0.938774 | − | 0.927435i | −0.0568172 | − | 0.0561309i | ||||
\(274\) | 6.44352 | − | 14.1093i | 0.389267 | − | 0.852377i | ||||
\(275\) | −2.39848 | + | 4.15428i | −0.144634 | + | 0.250513i | ||||
\(276\) | −0.155484 | − | 4.79331i | −0.00935904 | − | 0.288523i | ||||
\(277\) | −6.53582 | − | 11.3204i | −0.392699 | − | 0.680175i | 0.600105 | − | 0.799921i | \(-0.295125\pi\) |
−0.992805 | + | 0.119746i | \(0.961792\pi\) | |||||||
\(278\) | 9.34864 | + | 13.1283i | 0.560694 | + | 0.787384i | ||||
\(279\) | 6.26841 | + | 1.84057i | 0.375280 | + | 0.110192i | ||||
\(280\) | 2.52902 | − | 2.32725i | 0.151138 | − | 0.139080i | ||||
\(281\) | 22.6528 | − | 14.5581i | 1.35135 | − | 0.868462i | 0.353597 | − | 0.935398i | \(-0.384959\pi\) |
0.997757 | + | 0.0669357i | \(0.0213222\pi\) | |||||||
\(282\) | −1.76709 | − | 5.10568i | −0.105229 | − | 0.304039i | ||||
\(283\) | −16.3714 | + | 6.55412i | −0.973179 | + | 0.389602i | −0.803111 | − | 0.595830i | \(-0.796823\pi\) |
−0.170069 | + | 0.985432i | \(0.554399\pi\) | |||||||
\(284\) | −6.45839 | − | 6.15807i | −0.383235 | − | 0.365414i | ||||
\(285\) | 5.48883 | − | 2.82969i | 0.325130 | − | 0.167616i | ||||
\(286\) | −0.102791 | − | 0.714928i | −0.00607817 | − | 0.0422746i | ||||
\(287\) | −4.90016 | − | 3.27329i | −0.289247 | − | 0.193216i | ||||
\(288\) | −0.415415 | − | 0.909632i | −0.0244786 | − | 0.0536006i | ||||
\(289\) | 16.8785 | + | 6.75713i | 0.992853 | + | 0.397478i | ||||
\(290\) | 0.357789 | − | 7.51092i | 0.0210101 | − | 0.441057i | ||||
\(291\) | −3.70950 | − | 3.53701i | −0.217455 | − | 0.207343i | ||||
\(292\) | 7.44335 | + | 5.85351i | 0.435589 | + | 0.342551i | ||||
\(293\) | −18.0393 | + | 20.8184i | −1.05387 | + | 1.21623i | −0.0782057 | + | 0.996937i | \(0.524919\pi\) |
−0.975660 | + | 0.219289i | \(0.929626\pi\) | |||||||
\(294\) | 0.750017 | + | 6.95970i | 0.0437419 | + | 0.405898i | ||||
\(295\) | −2.24194 | − | 2.58733i | −0.130531 | − | 0.150640i | ||||
\(296\) | −5.51537 | + | 5.25890i | −0.320574 | + | 0.305667i | ||||
\(297\) | 1.44155 | − | 0.137652i | 0.0836474 | − | 0.00798736i | ||||
\(298\) | −10.6374 | − | 18.4245i | −0.616206 | − | 1.06730i | ||||
\(299\) | 2.30510 | − | 0.639013i | 0.133308 | − | 0.0369551i | ||||
\(300\) | −3.31256 | −0.191251 | ||||||||
\(301\) | 3.45153 | + | 27.4515i | 0.198943 | + | 1.58228i | ||||
\(302\) | −6.75044 | − | 1.98211i | −0.388444 | − | 0.114058i | ||||
\(303\) | 11.5854 | − | 2.23290i | 0.665563 | − | 0.128277i | ||||
\(304\) | 4.22538 | + | 2.17834i | 0.242342 | + | 0.124936i | ||||
\(305\) | 17.2799 | + | 3.33043i | 0.989446 | + | 0.190700i | ||||
\(306\) | −4.66235 | − | 3.66651i | −0.266529 | − | 0.209601i | ||||
\(307\) | −10.4548 | + | 3.06980i | −0.596686 | + | 0.175203i | −0.566110 | − | 0.824330i | \(-0.691552\pi\) |
−0.0305760 | + | 0.999532i | \(0.509734\pi\) | |||||||
\(308\) | −1.97417 | + | 3.28356i | −0.112489 | + | 0.187098i | ||||
\(309\) | 1.50830 | + | 10.4905i | 0.0858044 | + | 0.596783i | ||||
\(310\) | −8.44809 | − | 0.806695i | −0.479819 | − | 0.0458172i | ||||
\(311\) | 8.39044 | − | 11.7827i | 0.475778 | − | 0.668137i | −0.505033 | − | 0.863100i | \(-0.668520\pi\) |
0.980810 | + | 0.194964i | \(0.0624589\pi\) | |||||||
\(312\) | 0.392063 | − | 0.308322i | 0.0221962 | − | 0.0174553i | ||||
\(313\) | 7.32081 | − | 3.77414i | 0.413797 | − | 0.213327i | −0.238741 | − | 0.971083i | \(-0.576735\pi\) |
0.652538 | + | 0.757756i | \(0.273704\pi\) | |||||||
\(314\) | 1.72475 | − | 0.506432i | 0.0973332 | − | 0.0285796i | ||||
\(315\) | −2.04288 | + | 2.76382i | −0.115104 | + | 0.155724i | ||||
\(316\) | 6.09854 | − | 7.03810i | 0.343070 | − | 0.395924i | ||||
\(317\) | 1.42197 | + | 29.8509i | 0.0798660 | + | 1.67659i | 0.583067 | + | 0.812424i | \(0.301852\pi\) |
−0.503202 | + | 0.864169i | \(0.667845\pi\) | |||||||
\(318\) | −3.39221 | + | 9.80115i | −0.190226 | + | 0.549621i | ||||
\(319\) | 1.97625 | + | 8.14620i | 0.110649 | + | 0.456100i | ||||
\(320\) | 0.753502 | + | 1.05815i | 0.0421221 | + | 0.0591522i | ||||
\(321\) | −9.69298 | −0.541010 | ||||||||
\(322\) | −11.6182 | − | 5.10077i | −0.647456 | − | 0.284255i | ||||
\(323\) | 28.1967 | 1.56890 | ||||||||
\(324\) | 0.580057 | + | 0.814576i | 0.0322254 | + | 0.0452542i | ||||
\(325\) | −0.389526 | − | 1.60565i | −0.0216070 | − | 0.0890653i | ||||
\(326\) | 0.149181 | − | 0.431029i | 0.00826235 | − | 0.0238725i | ||||
\(327\) | −0.900859 | − | 18.9114i | −0.0498176 | − | 1.04580i | ||||
\(328\) | 1.45857 | − | 1.68328i | 0.0805360 | − | 0.0929436i | ||||
\(329\) | −14.2035 | − | 1.61077i | −0.783065 | − | 0.0888046i | ||||
\(330\) | −1.80492 | + | 0.529972i | −0.0993574 | + | 0.0291740i | ||||
\(331\) | −14.6012 | + | 7.52744i | −0.802554 | + | 0.413745i | −0.810148 | − | 0.586226i | \(-0.800613\pi\) |
0.00759374 | + | 0.999971i | \(0.497583\pi\) | |||||||
\(332\) | −10.3481 | + | 8.13782i | −0.567925 | + | 0.446621i | ||||
\(333\) | 4.42045 | − | 6.20765i | 0.242239 | − | 0.340177i | ||||
\(334\) | 9.70653 | + | 0.926862i | 0.531118 | + | 0.0507156i | ||||
\(335\) | −1.15739 | − | 8.04986i | −0.0632352 | − | 0.439811i | ||||
\(336\) | −2.64534 | − | 0.0468913i | −0.144315 | − | 0.00255813i | ||||
\(337\) | 27.3370 | − | 8.02686i | 1.48914 | − | 0.437251i | 0.566874 | − | 0.823805i | \(-0.308153\pi\) |
0.922267 | + | 0.386554i | \(0.126335\pi\) | |||||||
\(338\) | −10.0231 | − | 7.88228i | −0.545187 | − | 0.428740i | ||||
\(339\) | −4.40551 | − | 0.849093i | −0.239275 | − | 0.0461164i | ||||
\(340\) | 6.84839 | + | 3.53059i | 0.371406 | + | 0.191473i | ||||
\(341\) | 9.28960 | − | 1.79042i | 0.503060 | − | 0.0969569i | ||||
\(342\) | −4.56128 | − | 1.33931i | −0.246646 | − | 0.0724217i | ||||
\(343\) | 17.4676 | + | 6.15482i | 0.943164 | + | 0.332329i | ||||
\(344\) | −10.4574 | −0.563824 | ||||||||
\(345\) | −2.50169 | − | 5.70549i | −0.134687 | − | 0.307173i | ||||
\(346\) | 9.04343e−5 | 0 | 0.000156637i | 4.86178e−6 | 0 | 8.42084e-6i | ||||
\(347\) | −11.4684 | + | 1.09510i | −0.615657 | + | 0.0587881i | −0.398226 | − | 0.917287i | \(-0.630374\pi\) |
−0.217431 | + | 0.976076i | \(0.569768\pi\) | |||||||
\(348\) | −4.18939 | + | 3.99457i | −0.224575 | + | 0.214132i | ||||
\(349\) | 4.79828 | + | 5.53751i | 0.256846 | + | 0.296416i | 0.869498 | − | 0.493937i | \(-0.164443\pi\) |
−0.612652 | + | 0.790353i | \(0.709897\pi\) | |||||||
\(350\) | −3.78151 | + | 7.90643i | −0.202130 | + | 0.422616i | ||||
\(351\) | −0.326628 | + | 0.376949i | −0.0174341 | + | 0.0201200i | ||||
\(352\) | −1.13829 | − | 0.895162i | −0.0606711 | − | 0.0477123i | ||||
\(353\) | −14.6037 | − | 13.9246i | −0.777277 | − | 0.741132i | 0.193504 | − | 0.981099i | \(-0.438015\pi\) |
−0.970781 | + | 0.239967i | \(0.922863\pi\) | |||||||
\(354\) | −0.125401 | + | 2.63250i | −0.00666501 | + | 0.139916i | ||||
\(355\) | −10.7617 | − | 4.30832i | −0.571170 | − | 0.228662i | ||||
\(356\) | −0.706558 | − | 1.54715i | −0.0374475 | − | 0.0819986i | ||||
\(357\) | −14.0736 | + | 6.94254i | −0.744855 | + | 0.367438i | ||||
\(358\) | 1.06382 | + | 7.39902i | 0.0562245 | + | 0.391050i | ||||
\(359\) | −31.4511 | + | 16.2142i | −1.65992 | + | 0.855750i | −0.665967 | + | 0.745981i | \(0.731981\pi\) |
−0.993957 | + | 0.109769i | \(0.964989\pi\) | |||||||
\(360\) | −0.940141 | − | 0.896423i | −0.0495498 | − | 0.0472456i | ||||
\(361\) | 3.34119 | − | 1.33761i | 0.175852 | − | 0.0704005i | ||||
\(362\) | −8.59537 | − | 24.8347i | −0.451763 | − | 1.30528i | ||||
\(363\) | −7.48966 | + | 4.81331i | −0.393105 | + | 0.252633i | ||||
\(364\) | −0.288338 | − | 1.28775i | −0.0151130 | − | 0.0674963i | ||||
\(365\) | 11.8025 | + | 3.46551i | 0.617769 | + | 0.181393i | ||||
\(366\) | −7.85812 | − | 11.0352i | −0.410751 | − | 0.576818i | ||||
\(367\) | 7.99089 | + | 13.8406i | 0.417121 | + | 0.722475i | 0.995649 | − | 0.0931878i | \(-0.0297057\pi\) |
−0.578527 | + | 0.815663i | \(0.696372\pi\) | |||||||
\(368\) | 2.46066 | − | 4.11645i | 0.128271 | − | 0.214585i | ||||
\(369\) | −1.11365 | + | 1.92890i | −0.0579742 | + | 0.100414i | ||||
\(370\) | −4.11237 | + | 9.00483i | −0.213792 | + | 0.468139i | ||||
\(371\) | 19.5210 | + | 19.2852i | 1.01348 | + | 1.00124i | ||||
\(372\) | 4.27823 | + | 4.93735i | 0.221816 | + | 0.255989i | ||||
\(373\) | 0.0814307 | + | 1.70944i | 0.00421632 | + | 0.0885115i | 0.999995 | − | 0.00327944i | \(-0.00104388\pi\) |
−0.995778 | + | 0.0917909i | \(0.970741\pi\) | |||||||
\(374\) | −8.43402 | − | 1.62552i | −0.436113 | − | 0.0840538i | ||||
\(375\) | −10.0246 | + | 4.01326i | −0.517670 | + | 0.207244i | ||||
\(376\) | 1.27377 | − | 5.25054i | 0.0656895 | − | 0.270776i | ||||
\(377\) | −2.42886 | − | 1.56093i | −0.125093 | − | 0.0803922i | ||||
\(378\) | 2.60641 | − | 0.454589i | 0.134059 | − | 0.0233815i | ||||
\(379\) | −4.25040 | − | 9.30708i | −0.218329 | − | 0.478073i | 0.768499 | − | 0.639852i | \(-0.221004\pi\) |
−0.986827 | + | 0.161779i | \(0.948277\pi\) | |||||||
\(380\) | 6.14735 | + | 0.587000i | 0.315352 | + | 0.0301125i | ||||
\(381\) | −5.60905 | + | 4.41101i | −0.287360 | + | 0.225983i | ||||
\(382\) | 0.309531 | − | 6.49785i | 0.0158370 | − | 0.332459i | ||||
\(383\) | −1.08945 | + | 4.49079i | −0.0556685 | + | 0.229469i | −0.992849 | − | 0.119376i | \(-0.961911\pi\) |
0.937181 | + | 0.348844i | \(0.113426\pi\) | |||||||
\(384\) | 0.142315 | − | 0.989821i | 0.00726247 | − | 0.0505116i | ||||
\(385\) | −0.795495 | + | 4.91298i | −0.0405422 | + | 0.250389i | ||||
\(386\) | 12.9485 | − | 8.32150i | 0.659061 | − | 0.423553i | ||||
\(387\) | 10.2684 | − | 1.97907i | 0.521972 | − | 0.100602i | ||||
\(388\) | −1.20838 | − | 4.98103i | −0.0613464 | − | 0.252873i | ||||
\(389\) | 7.30542 | − | 0.697583i | 0.370400 | − | 0.0353689i | 0.0918033 | − | 0.995777i | \(-0.470737\pi\) |
0.278596 | + | 0.960408i | \(0.410131\pi\) | |||||||
\(390\) | 0.323958 | − | 0.561111i | 0.0164042 | − | 0.0284130i | ||||
\(391\) | 1.78446 | − | 28.3897i | 0.0902442 | − | 1.43573i | ||||
\(392\) | −3.13175 | + | 6.26036i | −0.158177 | + | 0.316196i | ||||
\(393\) | 5.47317 | − | 11.9846i | 0.276085 | − | 0.604542i | ||||
\(394\) | 3.44854 | − | 3.28818i | 0.173735 | − | 0.165656i | ||||
\(395\) | 3.95667 | − | 11.4320i | 0.199081 | − | 0.575208i | ||||
\(396\) | 1.28713 | + | 0.663562i | 0.0646808 | + | 0.0333453i | ||||
\(397\) | 6.13985 | + | 17.7399i | 0.308150 | + | 0.890341i | 0.987651 | + | 0.156667i | \(0.0500750\pi\) |
−0.679501 | + | 0.733674i | \(0.737804\pi\) | |||||||
\(398\) | 3.22701 | − | 22.4443i | 0.161755 | − | 1.12503i | ||||
\(399\) | −8.40367 | + | 9.35795i | −0.420710 | + | 0.468484i | ||||
\(400\) | −2.78670 | − | 1.79091i | −0.139335 | − | 0.0895453i | ||||
\(401\) | 13.1902 | + | 5.28055i | 0.658686 | + | 0.263698i | 0.676832 | − | 0.736137i | \(-0.263352\pi\) |
−0.0181464 | + | 0.999835i | \(0.505776\pi\) | |||||||
\(402\) | −3.63152 | + | 5.09975i | −0.181124 | + | 0.254352i | ||||
\(403\) | −1.89012 | + | 2.65431i | −0.0941538 | + | 0.132221i | ||||
\(404\) | 10.9534 | + | 4.38510i | 0.544954 | + | 0.218167i | ||||
\(405\) | 1.09280 | + | 0.702300i | 0.0543017 | + | 0.0348976i | ||||
\(406\) | 4.75179 | + | 14.5593i | 0.235828 | + | 0.722566i | ||||
\(407\) | 1.57053 | − | 10.9233i | 0.0778485 | − | 0.541448i | ||||
\(408\) | −1.93995 | − | 5.60512i | −0.0960420 | − | 0.277495i | ||||
\(409\) | 7.15642 | + | 3.68939i | 0.353862 | + | 0.182429i | 0.625987 | − | 0.779833i | \(-0.284696\pi\) |
−0.272125 | + | 0.962262i | \(0.587726\pi\) | |||||||
\(410\) | 0.946303 | − | 2.73416i | 0.0467346 | − | 0.135031i | ||||
\(411\) | −11.2259 | + | 10.7039i | −0.553732 | + | 0.527982i | ||||
\(412\) | −4.40272 | + | 9.64060i | −0.216906 | + | 0.474959i | ||||
\(413\) | 6.14010 | + | 3.30448i | 0.302135 | + | 0.162603i | ||||
\(414\) | −1.63715 | + | 4.50774i | −0.0804614 | + | 0.221543i | ||||
\(415\) | −8.55051 | + | 14.8099i | −0.419728 | + | 0.726990i | ||||
\(416\) | 0.496516 | − | 0.0474115i | 0.0243437 | − | 0.00232454i | ||||
\(417\) | −3.79967 | − | 15.6625i | −0.186071 | − | 0.766994i | ||||
\(418\) | −6.75968 | + | 1.30282i | −0.330627 | + | 0.0637231i | ||||
\(419\) | 8.13677 | − | 5.22918i | 0.397507 | − | 0.255462i | −0.326582 | − | 0.945169i | \(-0.605897\pi\) |
0.724089 | + | 0.689707i | \(0.242261\pi\) | |||||||
\(420\) | −3.21282 | + | 1.22061i | −0.156769 | + | 0.0595595i | ||||
\(421\) | 0.263342 | − | 1.83158i | 0.0128345 | − | 0.0892660i | −0.982397 | − | 0.186803i | \(-0.940187\pi\) |
0.995232 | + | 0.0975371i | \(0.0310965\pi\) | |||||||
\(422\) | −6.45819 | + | 26.6210i | −0.314380 | + | 1.29589i | ||||
\(423\) | −0.257077 | + | 5.39672i | −0.0124995 | + | 0.262397i | ||||
\(424\) | −8.15261 | + | 6.41128i | −0.395926 | + | 0.311360i | ||||
\(425\) | −19.5590 | − | 1.86766i | −0.948749 | − | 0.0905946i | ||||
\(426\) | 3.70704 | + | 8.11729i | 0.179607 | + | 0.393284i | ||||
\(427\) | −35.3094 | + | 6.15839i | −1.70874 | + | 0.298025i | ||||
\(428\) | −8.15426 | − | 5.24042i | −0.394151 | − | 0.253305i | ||||
\(429\) | −0.170284 | + | 0.701920i | −0.00822139 | + | 0.0338890i | ||||
\(430\) | −12.6112 | + | 5.04877i | −0.608167 | + | 0.243473i | ||||
\(431\) | 8.87435 | + | 1.71039i | 0.427463 | + | 0.0823867i | 0.398445 | − | 0.917192i | \(-0.369550\pi\) |
0.0290176 | + | 0.999579i | \(0.490762\pi\) | |||||||
\(432\) | 0.0475819 | + | 0.998867i | 0.00228929 | + | 0.0480580i | ||||
\(433\) | −16.6217 | − | 19.1824i | −0.798786 | − | 0.921848i | 0.199528 | − | 0.979892i | \(-0.436059\pi\) |
−0.998314 | + | 0.0580438i | \(0.981514\pi\) | |||||||
\(434\) | 16.6684 | − | 4.57500i | 0.800107 | − | 0.219607i | ||||
\(435\) | −3.12369 | + | 6.83992i | −0.149769 | + | 0.327949i | ||||
\(436\) | 9.46641 | − | 16.3963i | 0.453359 | − | 0.785240i | ||||
\(437\) | −7.12894 | − | 21.6554i | −0.341023 | − | 1.03592i | ||||
\(438\) | −4.73463 | − | 8.20063i | −0.226230 | − | 0.391841i | ||||
\(439\) | −5.03924 | − | 7.07662i | −0.240510 | − | 0.337749i | 0.676624 | − | 0.736329i | \(-0.263442\pi\) |
−0.917133 | + | 0.398580i | \(0.869503\pi\) | |||||||
\(440\) | −1.80492 | − | 0.529972i | −0.0860461 | − | 0.0252654i | ||||
\(441\) | 1.89037 | − | 6.73992i | 0.0900176 | − | 0.320949i | ||||
\(442\) | 2.48877 | − | 1.59943i | 0.118379 | − | 0.0760773i | ||||
\(443\) | 0.718944 | + | 2.07725i | 0.0341581 | + | 0.0986933i | 0.960791 | − | 0.277275i | \(-0.0894313\pi\) |
−0.926632 | + | 0.375968i | \(0.877310\pi\) | |||||||
\(444\) | 7.07483 | − | 2.83233i | 0.335757 | − | 0.134417i | ||||
\(445\) | −1.59904 | − | 1.52468i | −0.0758016 | − | 0.0722767i | ||||
\(446\) | −19.2791 | + | 9.93909i | −0.912894 | + | 0.470630i | ||||
\(447\) | 3.02771 | + | 21.0582i | 0.143206 | + | 0.996018i | ||||
\(448\) | −2.20005 | − | 1.46962i | −0.103942 | − | 0.0694332i | ||||
\(449\) | −10.9332 | − | 23.9404i | −0.515970 | − | 1.12982i | −0.970943 | − | 0.239312i | \(-0.923078\pi\) |
0.454973 | − | 0.890505i | \(-0.349649\pi\) | |||||||
\(450\) | 3.07528 | + | 1.23115i | 0.144970 | + | 0.0580372i | ||||
\(451\) | −0.153469 | + | 3.22172i | −0.00722659 | + | 0.151705i | ||||
\(452\) | −3.24710 | − | 3.09610i | −0.152731 | − | 0.145628i | ||||
\(453\) | 5.53022 | + | 4.34901i | 0.259832 | + | 0.204334i | ||||
\(454\) | −9.50195 | + | 10.9658i | −0.445949 | + | 0.514652i | ||||
\(455\) | −0.969443 | − | 1.41377i | −0.0454482 | − | 0.0662785i | ||||
\(456\) | −3.11310 | − | 3.59271i | −0.145784 | − | 0.168244i | ||||
\(457\) | −14.5809 | + | 13.9028i | −0.682064 | + | 0.650347i | −0.949696 | − | 0.313175i | \(-0.898608\pi\) |
0.267632 | + | 0.963521i | \(0.413759\pi\) | |||||||
\(458\) | −8.04018 | + | 0.767744i | −0.375693 | + | 0.0358743i | ||||
\(459\) | 2.96567 | + | 5.13669i | 0.138426 | + | 0.239760i | ||||
\(460\) | 0.980062 | − | 6.15228i | 0.0456956 | − | 0.286852i | ||||
\(461\) | 11.3825 | 0.530137 | 0.265068 | − | 0.964230i | \(-0.414605\pi\) | ||||
0.265068 | + | 0.964230i | \(0.414605\pi\) | |||||||
\(462\) | 3.05314 | − | 2.31463i | 0.142045 | − | 0.107686i | ||||
\(463\) | 12.9485 | + | 3.80202i | 0.601767 | + | 0.176695i | 0.568405 | − | 0.822749i | \(-0.307561\pi\) |
0.0333614 | + | 0.999443i | \(0.489379\pi\) | |||||||
\(464\) | −5.68397 | + | 1.09549i | −0.263872 | + | 0.0508571i | ||||
\(465\) | 7.54312 | + | 3.88875i | 0.349804 | + | 0.180336i | ||||
\(466\) | −14.1946 | − | 2.73579i | −0.657553 | − | 0.126733i | ||||
\(467\) | −19.1420 | − | 15.0535i | −0.885788 | − | 0.696591i | 0.0678024 | − | 0.997699i | \(-0.478401\pi\) |
−0.953590 | + | 0.301108i | \(0.902644\pi\) | |||||||
\(468\) | −0.478571 | + | 0.140521i | −0.0221219 | + | 0.00649559i | ||||
\(469\) | 8.02648 | + | 14.4894i | 0.370628 | + | 0.669059i | ||||
\(470\) | −0.998817 | − | 6.94693i | −0.0460720 | − | 0.320438i | ||||
\(471\) | −1.78942 | − | 0.170869i | −0.0824523 | − | 0.00787324i | ||||
\(472\) | −1.52873 | + | 2.14680i | −0.0703656 | + | 0.0988146i | ||||
\(473\) | 11.9035 | − | 9.36105i | 0.547326 | − | 0.430422i | ||||
\(474\) | −8.27749 | + | 4.26734i | −0.380198 | + | 0.196006i | ||||
\(475\) | −15.1095 | + | 4.43655i | −0.693272 | + | 0.203563i | ||||
\(476\) | −15.5929 | − | 1.76834i | −0.714700 | − | 0.0810515i | ||||
\(477\) | 6.79194 | − | 7.83832i | 0.310982 | − | 0.358892i | ||||
\(478\) | −0.0693418 | − | 1.45566i | −0.00317162 | − | 0.0665805i | ||||
\(479\) | −3.23864 | + | 9.35745i | −0.147977 | + | 0.427553i | −0.994492 | − | 0.104813i | \(-0.966576\pi\) |
0.846515 | + | 0.532366i | \(0.178697\pi\) | |||||||
\(480\) | −0.306254 | − | 1.26240i | −0.0139785 | − | 0.0576203i | ||||
\(481\) | 2.20481 | + | 3.09622i | 0.100531 | + | 0.141175i | ||||
\(482\) | −6.90845 | −0.314671 | ||||||||
\(483\) | 8.89018 | + | 9.05343i | 0.404517 | + | 0.411945i | ||||
\(484\) | −8.90298 | −0.404681 | ||||||||
\(485\) | −3.86208 | − | 5.42354i | −0.175368 | − | 0.246270i | ||||
\(486\) | −0.235759 | − | 0.971812i | −0.0106942 | − | 0.0440823i | ||||
\(487\) | −2.19647 | + | 6.34628i | −0.0995315 | + | 0.287577i | −0.983763 | − | 0.179471i | \(-0.942561\pi\) |
0.884232 | + | 0.467048i | \(0.154683\pi\) | |||||||
\(488\) | −0.644600 | − | 13.5318i | −0.0291797 | − | 0.612556i | ||||
\(489\) | −0.298692 | + | 0.344709i | −0.0135073 | + | 0.0155883i | ||||
\(490\) | −0.754299 | + | 9.06176i | −0.0340757 | + | 0.409369i | ||||
\(491\) | −32.7419 | + | 9.61388i | −1.47762 | + | 0.433869i | −0.918568 | − | 0.395264i | \(-0.870653\pi\) |
−0.559053 | + | 0.829132i | \(0.688835\pi\) | |||||||
\(492\) | −1.97970 | + | 1.02061i | −0.0892518 | + | 0.0460125i | ||||
\(493\) | −26.9884 | + | 21.2239i | −1.21549 | + | 0.955876i | ||||
\(494\) | 1.37537 | − | 1.93144i | 0.0618808 | − | 0.0868994i | ||||
\(495\) | 1.87260 | + | 0.178811i | 0.0841670 | + | 0.00803698i | ||||
\(496\) | 0.929749 | + | 6.46655i | 0.0417470 | + | 0.290357i | ||||
\(497\) | 23.6062 | + | 0.418445i | 1.05888 | + | 0.0187698i | ||||
\(498\) | 12.6313 | − | 3.70890i | 0.566024 | − | 0.166200i | ||||
\(499\) | −15.0016 | − | 11.7974i | −0.671566 | − | 0.528125i | 0.223137 | − | 0.974787i | \(-0.428370\pi\) |
−0.894703 | + | 0.446662i | \(0.852613\pi\) | |||||||
\(500\) | −10.6030 | − | 2.04356i | −0.474181 | − | 0.0913908i | ||||
\(501\) | −8.66675 | − | 4.46802i | −0.387202 | − | 0.199617i | ||||
\(502\) | −1.24596 | + | 0.240140i | −0.0556101 | + | 0.0107180i | ||||
\(503\) | −17.0437 | − | 5.00447i | −0.759940 | − | 0.223138i | −0.121270 | − | 0.992620i | \(-0.538697\pi\) |
−0.638670 | + | 0.769481i | \(0.720515\pi\) | |||||||
\(504\) | 2.43842 | + | 1.02670i | 0.108616 | + | 0.0457330i | ||||
\(505\) | 15.3266 | 0.682023 | ||||||||
\(506\) | 0.883945 | + | 6.88841i | 0.0392962 | + | 0.306227i | ||||
\(507\) | 6.37561 | + | 11.0429i | 0.283151 | + | 0.490432i | ||||
\(508\) | −7.10340 | + | 0.678293i | −0.315162 | + | 0.0300944i | ||||
\(509\) | −20.9004 | + | 19.9285i | −0.926394 | + | 0.883315i | −0.993431 | − | 0.114435i | \(-0.963494\pi\) |
0.0670363 | + | 0.997751i | \(0.478646\pi\) | |||||||
\(510\) | −5.04564 | − | 5.82298i | −0.223425 | − | 0.257846i | ||||
\(511\) | −24.9782 | + | 1.93908i | −1.10497 | + | 0.0857799i | ||||
\(512\) | 0.654861 | − | 0.755750i | 0.0289410 | − | 0.0333997i | ||||
\(513\) | 3.73677 | + | 2.93863i | 0.164982 | + | 0.129744i | ||||
\(514\) | −8.41976 | − | 8.02822i | −0.371380 | − | 0.354110i | ||||
\(515\) | −0.655080 | + | 13.7518i | −0.0288663 | + | 0.605978i | ||||
\(516\) | 9.70830 | + | 3.88662i | 0.427384 | + | 0.171099i | ||||
\(517\) | 3.25017 | + | 7.11687i | 0.142942 | + | 0.313000i | ||||
\(518\) | 1.31616 | − | 20.1195i | 0.0578288 | − | 0.884001i | ||||
\(519\) | −2.57403e−5 | 0 | 0.000179028i | −1.12987e−6 | 0 | 7.85844e-6i | ||||
\(520\) | 0.575890 | − | 0.296892i | 0.0252545 | − | 0.0130196i | ||||
\(521\) | −6.65957 | − | 6.34988i | −0.291761 | − | 0.278193i | 0.530035 | − | 0.847976i | \(-0.322179\pi\) |
−0.821795 | + | 0.569783i | \(0.807027\pi\) | |||||||
\(522\) | 5.37393 | − | 2.15140i | 0.235210 | − | 0.0941640i | ||||
\(523\) | 2.33213 | + | 6.73823i | 0.101977 | + | 0.294642i | 0.984435 | − | 0.175748i | \(-0.0562343\pi\) |
−0.882458 | + | 0.470390i | \(0.844113\pi\) | |||||||
\(524\) | 11.0837 | − | 7.12305i | 0.484193 | − | 0.311172i | ||||
\(525\) | 6.44915 | − | 5.93463i | 0.281464 | − | 0.259009i | ||||
\(526\) | 23.1417 | + | 6.79502i | 1.00903 | + | 0.296277i | ||||
\(527\) | 22.4771 | + | 31.5646i | 0.979116 | + | 1.37498i | ||||
\(528\) | 0.724055 | + | 1.25410i | 0.0315104 | + | 0.0545777i | ||||
\(529\) | −22.2548 | + | 5.80726i | −0.967600 | + | 0.252490i | ||||
\(530\) | −6.73642 | + | 11.6678i | −0.292611 | + | 0.506818i | ||||
\(531\) | 1.09482 | − | 2.39732i | 0.0475111 | − | 0.104035i | ||||
\(532\) | −12.1289 | + | 3.32904i | −0.525855 | + | 0.144332i | ||||
\(533\) | −0.727497 | − | 0.839577i | −0.0315114 | − | 0.0363661i | ||||
\(534\) | 0.0809296 | + | 1.69892i | 0.00350217 | + | 0.0735195i | ||||
\(535\) | −12.3638 | − | 2.38292i | −0.534533 | − | 0.103023i | ||||
\(536\) | −5.81216 | + | 2.32684i | −0.251047 | + | 0.100504i | ||||
\(537\) | 1.76232 | − | 7.26439i | 0.0760498 | − | 0.313482i | ||||
\(538\) | 1.69875 | + | 1.09172i | 0.0732381 | + | 0.0470673i | ||||
\(539\) | −2.03920 | − | 9.92954i | −0.0878347 | − | 0.427696i | ||||
\(540\) | 0.539630 | + | 1.18163i | 0.0232220 | + | 0.0508491i | ||||
\(541\) | 19.8113 | + | 1.89175i | 0.851753 | + | 0.0813325i | 0.511794 | − | 0.859108i | \(-0.328981\pi\) |
0.339958 | + | 0.940440i | \(0.389587\pi\) | |||||||
\(542\) | 14.7439 | − | 11.5947i | 0.633304 | − | 0.498036i | ||||
\(543\) | −1.25046 | + | 26.2503i | −0.0536622 | + | 1.12651i | ||||
\(544\) | 1.39837 | − | 5.76415i | 0.0599545 | − | 0.247136i | ||||
\(545\) | 3.50009 | − | 24.3437i | 0.149927 | − | 1.04277i | ||||
\(546\) | −0.210924 | + | 1.30267i | −0.00902671 | + | 0.0557490i | ||||
\(547\) | 5.99137 | − | 3.85042i | 0.256173 | − | 0.164632i | −0.406251 | − | 0.913761i | \(-0.633164\pi\) |
0.662424 | + | 0.749129i | \(0.269528\pi\) | |||||||
\(548\) | −15.2307 | + | 2.93549i | −0.650625 | + | 0.125398i | ||||
\(549\) | 3.19386 | + | 13.1653i | 0.136311 | + | 0.561881i | ||||
\(550\) | 4.77523 | − | 0.455979i | 0.203617 | − | 0.0194430i | ||||
\(551\) | −13.7590 | + | 23.8312i | −0.586152 | + | 1.01525i | ||||
\(552\) | −3.81433 | + | 2.90705i | −0.162348 | + | 0.123732i | ||||
\(553\) | 0.736003 | + | 24.6282i | 0.0312980 | + | 1.04730i | ||||
\(554\) | −5.43015 | + | 11.8904i | −0.230705 | + | 0.505174i | ||||
\(555\) | 7.16455 | − | 6.83138i | 0.304118 | − | 0.289976i | ||||
\(556\) | 5.27127 | − | 15.2303i | 0.223552 | − | 0.645911i | ||||
\(557\) | −21.0761 | − | 10.8655i | −0.893024 | − | 0.460386i | −0.0503013 | − | 0.998734i | \(-0.516018\pi\) |
−0.842722 | + | 0.538348i | \(0.819048\pi\) | |||||||
\(558\) | −2.13675 | − | 6.17373i | −0.0904558 | − | 0.261355i | ||||
\(559\) | −0.742296 | + | 5.16279i | −0.0313958 | + | 0.218363i | ||||
\(560\) | −3.36270 | − | 0.710141i | −0.142100 | − | 0.0300090i | ||||
\(561\) | 7.22573 | + | 4.64369i | 0.305070 | + | 0.196057i | ||||
\(562\) | −24.9986 | − | 10.0079i | −1.05450 | − | 0.422159i | ||||
\(563\) | −1.84612 | + | 2.59251i | −0.0778045 | + | 0.109261i | −0.851644 | − | 0.524120i | \(-0.824394\pi\) |
0.773840 | + | 0.633381i | \(0.218334\pi\) | |||||||
\(564\) | −3.13395 | + | 4.40102i | −0.131963 | + | 0.185316i | ||||
\(565\) | −5.41067 | − | 2.16610i | −0.227628 | − | 0.0911287i | ||||
\(566\) | 14.8352 | + | 9.53399i | 0.623569 | + | 0.400744i | ||||
\(567\) | −2.58866 | − | 0.546677i | −0.108713 | − | 0.0229583i | ||||
\(568\) | −1.26998 | + | 8.83288i | −0.0532870 | + | 0.370619i | ||||
\(569\) | 1.71894 | + | 4.96654i | 0.0720615 | + | 0.208208i | 0.975280 | − | 0.220973i | \(-0.0709233\pi\) |
−0.903218 | + | 0.429181i | \(0.858802\pi\) | |||||||
\(570\) | −5.48883 | − | 2.82969i | −0.229902 | − | 0.118523i | ||||
\(571\) | 5.47706 | − | 15.8249i | 0.229208 | − | 0.662253i | −0.770485 | − | 0.637458i | \(-0.779986\pi\) |
0.999693 | − | 0.0247941i | \(-0.00789303\pi\) | |||||||
\(572\) | −0.522739 | + | 0.498430i | −0.0218568 | + | 0.0208404i | ||||
\(573\) | −2.70237 | + | 5.91736i | −0.112893 | + | 0.247201i | ||||
\(574\) | 0.176028 | + | 5.89025i | 0.00734725 | + | 0.245854i | ||||
\(575\) | 3.51070 | + | 15.4937i | 0.146406 | + | 0.646133i | ||||
\(576\) | −0.500000 | + | 0.866025i | −0.0208333 | + | 0.0360844i | ||||
\(577\) | −8.52441 | + | 0.813983i | −0.354876 | + | 0.0338865i | −0.270972 | − | 0.962587i | \(-0.587345\pi\) |
−0.0839042 | + | 0.996474i | \(0.526739\pi\) | |||||||
\(578\) | −4.28629 | − | 17.6683i | −0.178286 | − | 0.734906i | ||||
\(579\) | −15.1138 | + | 2.91294i | −0.628106 | + | 0.121058i | ||||
\(580\) | −6.32576 | + | 4.06532i | −0.262663 | + | 0.168803i | ||||
\(581\) | 5.56711 | − | 34.3825i | 0.230963 | − | 1.42643i | ||||
\(582\) | −0.729436 | + | 5.07334i | −0.0302361 | + | 0.210297i | ||||
\(583\) | 3.54091 | − | 14.5958i | 0.146649 | − | 0.604497i | ||||
\(584\) | 0.450566 | − | 9.45854i | 0.0186446 | − | 0.391397i | ||||
\(585\) | −0.509296 | + | 0.400515i | −0.0210568 | + | 0.0165592i | ||||
\(586\) | 27.4220 | + | 2.61848i | 1.13279 | + | 0.108169i | ||||
\(587\) | −15.3245 | − | 33.5560i | −0.632510 | − | 1.38500i | −0.906061 | − | 0.423147i | \(-0.860925\pi\) |
0.273551 | − | 0.961858i | \(-0.411802\pi\) | |||||||
\(588\) | 5.23415 | − | 4.64797i | 0.215853 | − | 0.191679i | ||||
\(589\) | 26.1269 | + | 16.7907i | 1.07654 | + | 0.691849i | ||||
\(590\) | −0.807129 | + | 3.32703i | −0.0332290 | + | 0.136972i | ||||
\(591\) | −4.42361 | + | 1.77095i | −0.181963 | + | 0.0728470i | ||||
\(592\) | 7.48300 | + | 1.44223i | 0.307549 | + | 0.0592753i | ||||
\(593\) | 0.244964 | + | 5.14243i | 0.0100595 | + | 0.211174i | 0.998301 | + | 0.0582719i | \(0.0185590\pi\) |
−0.988241 | + | 0.152903i | \(0.951138\pi\) | |||||||
\(594\) | −0.948310 | − | 1.09441i | −0.0389096 | − | 0.0449041i | ||||
\(595\) | −19.6582 | + | 5.39563i | −0.805909 | + | 0.221199i | ||||
\(596\) | −8.83784 | + | 19.3522i | −0.362012 | + | 0.792696i | ||||
\(597\) | −11.3376 | + | 19.6372i | −0.464016 | + | 0.803698i | ||||
\(598\) | −1.85762 | − | 1.50702i | −0.0759636 | − | 0.0616266i | ||||
\(599\) | 17.8913 | + | 30.9886i | 0.731018 | + | 1.26616i | 0.956448 | + | 0.291901i | \(0.0942879\pi\) |
−0.225430 | + | 0.974259i | \(0.572379\pi\) | |||||||
\(600\) | 1.92147 | + | 2.69833i | 0.0784438 | + | 0.110159i | ||||
\(601\) | −4.27193 | − | 1.25435i | −0.174255 | − | 0.0511660i | 0.193441 | − | 0.981112i | \(-0.438035\pi\) |
−0.367696 | + | 0.929946i | \(0.619853\pi\) | |||||||
\(602\) | 20.3593 | − | 18.7350i | 0.829781 | − | 0.763580i | ||||
\(603\) | 5.26677 | − | 3.38475i | 0.214479 | − | 0.137838i | ||||
\(604\) | 2.30106 | + | 6.64849i | 0.0936289 | + | 0.270523i | ||||
\(605\) | −10.7367 | + | 4.29831i | −0.436508 | + | 0.174751i | ||||
\(606\) | −8.53905 | − | 8.14197i | −0.346875 | − | 0.330745i | ||||
\(607\) | −38.2394 | + | 19.7138i | −1.55209 | + | 0.800157i | −0.999447 | − | 0.0332611i | \(-0.989411\pi\) |
−0.552642 | + | 0.833419i | \(0.686380\pi\) | |||||||
\(608\) | −0.676542 | − | 4.70545i | −0.0274374 | − | 0.190831i | ||||
\(609\) | 0.999735 | − | 15.2825i | 0.0405113 | − | 0.619277i | ||||
\(610\) | −7.31045 | − | 16.0077i | −0.295992 | − | 0.648131i | ||||
\(611\) | −2.50176 | − | 1.00155i | −0.101210 | − | 0.0405186i | ||||
\(612\) | −0.282225 | + | 5.92463i | −0.0114083 | + | 0.239489i | ||||
\(613\) | −6.05396 | − | 5.77244i | −0.244517 | − | 0.233146i | 0.557903 | − | 0.829906i | \(-0.311606\pi\) |
−0.802420 | + | 0.596760i | \(0.796455\pi\) | |||||||
\(614\) | 8.56496 | + | 6.73556i | 0.345654 | + | 0.271825i | ||||
\(615\) | −1.89470 | + | 2.18660i | −0.0764018 | + | 0.0881724i | ||||
\(616\) | 3.81985 | − | 0.296538i | 0.153906 | − | 0.0119479i | ||||
\(617\) | −23.2636 | − | 26.8477i | −0.936559 | − | 1.08085i | −0.996579 | − | 0.0826495i | \(-0.973662\pi\) |
0.0600197 | − | 0.998197i | \(-0.480884\pi\) | |||||||
\(618\) | 7.67039 | − | 7.31370i | 0.308548 | − | 0.294200i | ||||
\(619\) | 25.9328 | − | 2.47628i | 1.04233 | − | 0.0995302i | 0.440176 | − | 0.897912i | \(-0.354916\pi\) |
0.602152 | + | 0.798381i | \(0.294310\pi\) | |||||||
\(620\) | 4.24326 | + | 7.34954i | 0.170413 | + | 0.295165i | ||||
\(621\) | 3.19523 | − | 3.57638i | 0.128220 | − | 0.143515i | ||||
\(622\) | −14.4648 | −0.579988 | ||||||||
\(623\) | 4.14738 | + | 1.74627i | 0.166161 | + | 0.0699628i | ||||
\(624\) | −0.478571 | − | 0.140521i | −0.0191582 | − | 0.00562534i | ||||
\(625\) | 2.49004 | − | 0.479915i | 0.0996015 | − | 0.0191966i | ||||
\(626\) | −7.32081 | − | 3.77414i | −0.292598 | − | 0.150845i | ||||
\(627\) | 6.75968 | + | 1.30282i | 0.269956 | + | 0.0520297i | ||||
\(628\) | −1.41298 | − | 1.11118i | −0.0563841 | − | 0.0443409i | ||||
\(629\) | 43.3701 | − | 12.7346i | 1.72928 | − | 0.507762i | ||||
\(630\) | 3.43633 | + | 0.0609125i | 0.136907 | + | 0.00242681i | ||||
\(631\) | 1.01948 | + | 7.09062i | 0.0405848 | + | 0.282273i | 1.00000 | 0.000275895i | \(8.78202e-5\pi\) | |
−0.959415 | + | 0.281997i | \(0.909003\pi\) | |||||||
\(632\) | −9.27057 | − | 0.885232i | −0.368763 | − | 0.0352126i | ||||
\(633\) | 15.8896 | − | 22.3138i | 0.631555 | − | 0.886896i | ||||
\(634\) | 23.4910 | − | 18.4735i | 0.932946 | − | 0.733677i | ||||
\(635\) | −8.23897 | + | 4.24748i | −0.326953 | + | 0.168556i | ||||
\(636\) | 9.95146 | − | 2.92201i | 0.394601 | − | 0.115865i | ||||
\(637\) | 2.86843 | + | 1.99052i | 0.113651 | + | 0.0788671i | ||||
\(638\) | 5.48936 | − | 6.33506i | 0.217326 | − | 0.250808i | ||||
\(639\) | −0.424607 | − | 8.91360i | −0.0167972 | − | 0.352617i | ||||
\(640\) | 0.424866 | − | 1.22757i | 0.0167943 | − | 0.0485240i | ||||
\(641\) | −0.882321 | − | 3.63698i | −0.0348496 | − | 0.143652i | 0.951729 | − | 0.306940i | \(-0.0993051\pi\) |
−0.986578 | + | 0.163288i | \(0.947790\pi\) | |||||||
\(642\) | 5.62248 | + | 7.89567i | 0.221902 | + | 0.311617i | ||||
\(643\) | 33.7737 | 1.33190 | 0.665952 | − | 0.745995i | \(-0.268026\pi\) | ||||
0.665952 | + | 0.745995i | \(0.268026\pi\) | |||||||
\(644\) | 2.58424 | + | 12.4226i | 0.101833 | + | 0.489520i | ||||
\(645\) | 13.5843 | 0.534881 | ||||||||
\(646\) | −16.3557 | − | 22.9683i | −0.643505 | − | 0.903676i | ||||
\(647\) | −11.4046 | − | 47.0106i | −0.448363 | − | 1.84818i | −0.524979 | − | 0.851115i | \(-0.675927\pi\) |
0.0766165 | − | 0.997061i | \(-0.475588\pi\) | |||||||
\(648\) | 0.327068 | − | 0.945001i | 0.0128484 | − | 0.0371231i | ||||
\(649\) | −0.181595 | − | 3.81215i | −0.00712823 | − | 0.149640i | ||||
\(650\) | −1.08197 | + | 1.24867i | −0.0424385 | + | 0.0489767i | ||||
\(651\) | −17.1747 | − | 1.94772i | −0.673130 | − | 0.0763373i | ||||
\(652\) | −0.437639 | + | 0.128502i | −0.0171393 | + | 0.00503255i | ||||
\(653\) | −39.1440 | + | 20.1801i | −1.53182 | + | 0.789710i | −0.998422 | − | 0.0561520i | \(-0.982117\pi\) |
−0.533402 | + | 0.845862i | \(0.679087\pi\) | |||||||
\(654\) | −14.8822 | + | 11.7035i | −0.581940 | + | 0.457643i | ||||
\(655\) | 9.92754 | − | 13.9413i | 0.387901 | − | 0.544731i | ||||
\(656\) | −2.21721 | − | 0.211718i | −0.0865676 | − | 0.00826620i | ||||
\(657\) | 1.34762 | + | 9.37289i | 0.0525756 | + | 0.365671i | ||||
\(658\) | 6.92675 | + | 12.5042i | 0.270033 | + | 0.487464i | ||||
\(659\) | 20.8655 | − | 6.12667i | 0.812805 | − | 0.238661i | 0.151190 | − | 0.988505i | \(-0.451689\pi\) |
0.661615 | + | 0.749844i | \(0.269871\pi\) | |||||||
\(660\) | 1.47866 | + | 1.16283i | 0.0575566 | + | 0.0452630i | ||||
\(661\) | −35.6724 | − | 6.87530i | −1.38750 | − | 0.267418i | −0.559816 | − | 0.828617i | \(-0.689128\pi\) |
−0.827681 | + | 0.561199i | \(0.810340\pi\) | |||||||
\(662\) | 14.6012 | + | 7.52744i | 0.567491 | + | 0.292562i | ||||
\(663\) | −2.90494 | + | 0.559881i | −0.112819 | + | 0.0217440i | ||||
\(664\) | 12.6313 | + | 3.70890i | 0.490191 | + | 0.143933i | ||||
\(665\) | −13.0198 | + | 9.87048i | −0.504885 | + | 0.382761i | ||||
\(666\) | −7.62072 | −0.295297 | ||||||||
\(667\) | 23.1236 | + | 15.3614i | 0.895351 | + | 0.594794i | ||||
\(668\) | −4.87534 | − | 8.44434i | −0.188633 | − | 0.326721i | ||||
\(669\) | 21.5921 | − | 2.06180i | 0.834800 | − | 0.0797137i | ||||
\(670\) | −5.88587 | + | 5.61216i | −0.227391 | + | 0.216817i | ||||
\(671\) | 12.8469 | + | 14.8261i | 0.495949 | + | 0.572356i | ||||
\(672\) | 1.49625 | + | 2.18203i | 0.0577190 | + | 0.0841735i | ||||
\(673\) | 12.6112 | − | 14.5540i | 0.486124 | − | 0.561017i | −0.458702 | − | 0.888590i | \(-0.651685\pi\) |
0.944826 | + | 0.327573i | \(0.106231\pi\) | |||||||
\(674\) | −22.3955 | − | 17.6120i | −0.862642 | − | 0.678389i | ||||
\(675\) | −2.39741 | − | 2.28593i | −0.0922765 | − | 0.0879854i | ||||
\(676\) | −0.606728 | + | 12.7368i | −0.0233357 | + | 0.489876i | ||||
\(677\) | −31.6236 | − | 12.6602i | −1.21539 | − | 0.486570i | −0.326724 | − | 0.945120i | \(-0.605945\pi\) |
−0.888669 | + | 0.458550i | \(0.848369\pi\) | |||||||
\(678\) | 1.86380 | + | 4.08115i | 0.0715787 | + | 0.156736i | ||||
\(679\) | 11.2764 | + | 7.53257i | 0.432747 | + | 0.289073i | ||||
\(680\) | −1.09652 | − | 7.62648i | −0.0420497 | − | 0.292462i | ||||
\(681\) | 12.8969 | − | 6.64881i | 0.494210 | − | 0.254783i | ||||
\(682\) | −6.84693 | − | 6.52854i | −0.262183 | − | 0.249991i | ||||
\(683\) | 21.7060 | − | 8.68979i | 0.830559 | − | 0.332506i | 0.0828746 | − | 0.996560i | \(-0.473590\pi\) |
0.747684 | + | 0.664054i | \(0.231166\pi\) | |||||||
\(684\) | 1.55483 | + | 4.49238i | 0.0594504 | + | 0.171771i | ||||
\(685\) | −16.9505 | + | 10.8934i | −0.647645 | + | 0.416216i | ||||
\(686\) | −5.11865 | − | 17.7989i | −0.195431 | − | 0.679564i | ||||
\(687\) | 7.74959 | + | 2.27549i | 0.295665 | + | 0.0868152i | ||||
\(688\) | 6.06588 | + | 8.51833i | 0.231259 | + | 0.324758i | ||||
\(689\) | 2.58654 | + | 4.48002i | 0.0985393 | + | 0.170675i | ||||
\(690\) | −3.19643 | + | 5.34733i | −0.121686 | + | 0.203569i | ||||
\(691\) | 1.07231 | − | 1.85729i | 0.0407925 | − | 0.0706546i | −0.844908 | − | 0.534911i | \(-0.820345\pi\) |
0.885701 | + | 0.464257i | \(0.153678\pi\) | |||||||
\(692\) | 7.51355e−5 | 0 | 0.000164524i | 2.85622e−6 | 0 | 6.25426e-6i | ||||
\(693\) | −3.69470 | + | 1.01409i | −0.140350 | + | 0.0385221i | ||||
\(694\) | 7.54438 | + | 8.70668i | 0.286381 | + | 0.330501i | ||||
\(695\) | −0.996170 | − | 20.9122i | −0.0377869 | − | 0.793245i | ||||
\(696\) | 5.68397 | + | 1.09549i | 0.215450 | + | 0.0415246i | ||||
\(697\) | −12.2645 | + | 4.90998i | −0.464553 | + | 0.185979i | ||||
\(698\) | 1.72745 | − | 7.12064i | 0.0653849 | − | 0.269520i | ||||
\(699\) | 12.1610 | + | 7.81543i | 0.459973 | + | 0.295607i | ||||
\(700\) | 8.63388 | − | 1.50585i | 0.326330 | − | 0.0569159i | ||||
\(701\) | −17.5501 | − | 38.4294i | −0.662859 | − | 1.45146i | −0.879834 | − | 0.475281i | \(-0.842346\pi\) |
0.216975 | − | 0.976177i | \(-0.430381\pi\) | |||||||
\(702\) | 0.496516 | + | 0.0474115i | 0.0187398 | + | 0.00178943i | ||||
\(703\) | 28.4769 | − | 22.3945i | 1.07403 | − | 0.844623i | ||||
\(704\) | −0.0689038 | + | 1.44647i | −0.00259691 | + | 0.0545159i | ||||
\(705\) | −1.65464 | + | 6.82053i | −0.0623174 | + | 0.256876i | ||||
\(706\) | −2.87167 | + | 19.9729i | −0.108077 | + | 0.751690i | ||||
\(707\) | −29.1812 | + | 11.0864i | −1.09747 | + | 0.416948i | ||||
\(708\) | 2.21711 | − | 1.42485i | 0.0833241 | − | 0.0535492i | ||||
\(709\) | 32.9804 | − | 6.35645i | 1.23861 | − | 0.238722i | 0.472439 | − | 0.881364i | \(-0.343374\pi\) |
0.766167 | + | 0.642642i | \(0.222162\pi\) | |||||||
\(710\) | 2.73293 | + | 11.2653i | 0.102565 | + | 0.422778i | ||||
\(711\) | 9.27057 | − | 0.885232i | 0.347673 | − | 0.0331988i | ||||
\(712\) | −0.850424 | + | 1.47298i | −0.0318710 | + | 0.0552022i | ||||
\(713\) | 18.5591 | − | 25.2431i | 0.695045 | − | 0.945362i | ||||
\(714\) | 13.8187 | + | 7.43697i | 0.517153 | + | 0.278321i | ||||
\(715\) | −0.389764 | + | 0.853465i | −0.0145764 | + | 0.0319178i | ||||
\(716\) | 5.40999 | − | 5.15841i | 0.202181 | − | 0.192779i | ||||
\(717\) | −0.476641 | + | 1.37716i | −0.0178005 | + | 0.0514311i | ||||
\(718\) | 31.4511 | + | 16.2142i | 1.17374 | + | 0.605107i | ||||
\(719\) | 0.301779 | + | 0.871932i | 0.0112544 | + | 0.0325176i | 0.950488 | − | 0.310761i | \(-0.100584\pi\) |
−0.939234 | + | 0.343278i | \(0.888463\pi\) | |||||||
\(720\) | −0.184869 | + | 1.28579i | −0.00688966 | + | 0.0479187i | ||||
\(721\) | −8.70011 | − | 26.6568i | −0.324009 | − | 0.992751i | ||||
\(722\) | −3.02766 | − | 1.94576i | −0.112678 | − | 0.0724137i | ||||
\(723\) | 6.41358 | + | 2.56761i | 0.238524 | + | 0.0954905i | ||||
\(724\) | −15.2439 | + | 21.4071i | −0.566537 | + | 0.795590i | ||||
\(725\) | 11.1226 | − | 15.6195i | 0.413083 | − | 0.580093i | ||||
\(726\) | 8.26524 | + | 3.30890i | 0.306752 | + | 0.122805i | ||||
\(727\) | −40.8073 | − | 26.2253i | −1.51346 | − | 0.972642i | −0.992918 | − | 0.118806i | \(-0.962093\pi\) |
−0.520542 | − | 0.853836i | \(-0.674270\pi\) | |||||||
\(728\) | −0.881716 | + | 0.981840i | −0.0326786 | + | 0.0363894i | ||||
\(729\) | −0.142315 | + | 0.989821i | −0.00527092 | + | 0.0366601i | ||||
\(730\) | −4.02317 | − | 11.6242i | −0.148904 | − | 0.430231i | ||||
\(731\) | 55.1312 | + | 28.4221i | 2.03910 | + | 1.05123i | ||||
\(732\) | −4.43084 | + | 12.8021i | −0.163769 | + | 0.473178i | ||||
\(733\) | 26.7918 | − | 25.5459i | 0.989577 | − | 0.943559i | −0.00883159 | − | 0.999961i | \(-0.502811\pi\) |
0.998408 | + | 0.0564017i | \(0.0179627\pi\) | |||||||
\(734\) | 6.63907 | − | 14.5375i | 0.245053 | − | 0.536591i | ||||
\(735\) | 4.06818 | − | 8.13231i | 0.150057 | − | 0.299965i | ||||
\(736\) | −4.78048 | + | 0.383383i | −0.176211 | + | 0.0141317i | ||||
\(737\) | 4.53303 | − | 7.85144i | 0.166976 | − | 0.289212i | ||||
\(738\) | 2.21721 | − | 0.211718i | 0.0816167 | − | 0.00779345i | ||||
\(739\) | −2.95557 | − | 12.1830i | −0.108722 | − | 0.448159i | 0.891264 | − | 0.453486i | \(-0.149820\pi\) |
−0.999986 | + | 0.00532641i | \(0.998305\pi\) | |||||||
\(740\) | 9.72053 | − | 1.87348i | 0.357334 | − | 0.0688704i | ||||
\(741\) | −1.99469 | + | 1.28191i | −0.0732768 | + | 0.0470921i | ||||
\(742\) | 4.38598 | − | 27.0878i | 0.161014 | − | 0.994426i | ||||
\(743\) | −3.08607 | + | 21.4641i | −0.113217 | + | 0.787441i | 0.851538 | + | 0.524292i | \(0.175670\pi\) |
−0.964755 | + | 0.263149i | \(0.915239\pi\) | |||||||
\(744\) | 1.54022 | − | 6.34889i | 0.0564673 | − | 0.232762i | ||||
\(745\) | −1.31498 | + | 27.6049i | −0.0481772 | + | 1.01136i | ||||
\(746\) | 1.34524 | − | 1.05790i | 0.0492526 | − | 0.0387326i | ||||
\(747\) | −13.1050 | − | 1.25138i | −0.479487 | − | 0.0457854i | ||||
\(748\) | 3.56810 | + | 7.81304i | 0.130463 | + | 0.285673i | ||||
\(749\) | 25.2638 | − | 4.40633i | 0.923121 | − | 0.161004i | ||||
\(750\) | 9.08397 | + | 5.83791i | 0.331700 | + | 0.213170i | ||||
\(751\) | 11.3642 | − | 46.8440i | 0.414687 | − | 1.70936i | −0.255190 | − | 0.966891i | \(-0.582138\pi\) |
0.669877 | − | 0.742472i | \(-0.266347\pi\) | |||||||
\(752\) | −5.01582 | + | 2.00803i | −0.182908 | + | 0.0732254i | ||||
\(753\) | 1.24596 | + | 0.240140i | 0.0454055 | + | 0.00875119i | ||||
\(754\) | 0.137378 | + | 2.88392i | 0.00500302 | + | 0.105026i | ||||
\(755\) | 5.98485 | + | 6.90689i | 0.217811 | + | 0.251367i | ||||
\(756\) | −1.88216 | − | 1.85943i | −0.0684535 | − | 0.0676267i | ||||
\(757\) | −11.9883 | + | 26.2506i | −0.435721 | + | 0.954095i | 0.556643 | + | 0.830752i | \(0.312089\pi\) |
−0.992364 | + | 0.123344i | \(0.960638\pi\) | |||||||
\(758\) | −5.11585 | + | 8.86092i | −0.185816 | + | 0.321843i | ||||
\(759\) | 1.73954 | − | 6.72351i | 0.0631411 | − | 0.244048i | ||||
\(760\) | −3.08765 | − | 5.34797i | −0.112001 | − | 0.193991i | ||||
\(761\) | −5.79319 | − | 8.13539i | −0.210003 | − | 0.294908i | 0.696117 | − | 0.717928i | \(-0.254909\pi\) |
−0.906120 | + | 0.423020i | \(0.860970\pi\) | |||||||
\(762\) | 6.84667 | + | 2.01036i | 0.248029 | + | 0.0728278i | ||||
\(763\) | 10.9449 | + | 48.8812i | 0.396232 | + | 1.76962i | ||||
\(764\) | −5.47254 | + | 3.51699i | −0.197990 | + | 0.127240i | ||||
\(765\) | 2.52003 | + | 7.28114i | 0.0911118 | + | 0.263250i | ||||
\(766\) | 4.29004 | − | 1.71747i | 0.155005 | − | 0.0620548i | ||||
\(767\) | 0.951358 | + | 0.907118i | 0.0343515 | + | 0.0327541i | ||||
\(768\) | −0.888835 | + | 0.458227i | −0.0320731 | + | 0.0165348i | ||||
\(769\) | −5.76384 | − | 40.0884i | −0.207850 | − | 1.44563i | −0.780156 | − | 0.625585i | \(-0.784860\pi\) |
0.572306 | − | 0.820040i | \(-0.306049\pi\) | |||||||
\(770\) | 4.46343 | − | 2.20182i | 0.160851 | − | 0.0793480i | ||||
\(771\) | 4.83284 | + | 10.5825i | 0.174051 | + | 0.381118i | ||||
\(772\) | −14.2894 | − | 5.72060i | −0.514285 | − | 0.205889i | ||||
\(773\) | 1.52488 | − | 32.0112i | 0.0548462 | − | 1.15136i | −0.788865 | − | 0.614566i | \(-0.789331\pi\) |
0.843712 | − | 0.536797i | \(-0.180366\pi\) | |||||||
\(774\) | −7.56836 | − | 7.21642i | −0.272039 | − | 0.259389i | ||||
\(775\) | −17.0111 | − | 13.3776i | −0.611055 | − | 0.480539i | ||||
\(776\) | −3.35649 | + | 3.87360i | −0.120491 | + | 0.139054i | ||||
\(777\) | −8.69955 | + | 18.1891i | −0.312095 | + | 0.652532i | ||||
\(778\) | −4.80580 | − | 5.54619i | −0.172296 | − | 0.198840i | ||||
\(779\) | −7.66305 | + | 7.30671i | −0.274557 | + | 0.261790i | ||||
\(780\) | −0.644982 | + | 0.0615883i | −0.0230940 | + | 0.00220521i | ||||
\(781\) | −6.46126 | − | 11.1912i | −0.231202 | − | 0.400454i | ||||
\(782\) | −24.1607 | + | 15.0141i | −0.863983 | + | 0.536902i | ||||
\(783\) | −5.78857 | −0.206867 | ||||||||
\(784\) | 6.91613 | − | 1.08032i | 0.247005 | − | 0.0385830i | ||||
\(785\) | −2.24048 | − | 0.657863i | −0.0799660 | − | 0.0234801i | ||||
\(786\) | −12.9371 | + | 2.49342i | −0.461451 | + | 0.0889374i | ||||
\(787\) | 32.1541 | + | 16.5766i | 1.14617 | + | 0.590891i | 0.923346 | − | 0.383968i | \(-0.125443\pi\) |
0.222822 | + | 0.974859i | \(0.428473\pi\) | |||||||
\(788\) | −4.67882 | − | 0.901769i | −0.166676 | − | 0.0321242i | ||||
\(789\) | −18.9586 | − | 14.9092i | −0.674943 | − | 0.530781i | ||||
\(790\) | −11.6073 | + | 3.40823i | −0.412971 | + | 0.121259i | ||||
\(791\) | 11.8685 | + | 0.210382i | 0.421997 | + | 0.00748033i | ||||
\(792\) | −0.206088 | − | 1.43337i | −0.00732300 | − | 0.0509326i | ||||
\(793\) | −6.72638 | − | 0.642291i | −0.238861 | − | 0.0228084i | ||||
\(794\) | 10.8891 | − | 15.2915i | 0.386438 | − | 0.542676i | ||||
\(795\) | 10.5904 | − | 8.32835i | 0.375601 | − | 0.295376i | ||||
\(796\) | −20.1545 | + | 10.3903i | −0.714356 | + | 0.368276i | ||||
\(797\) | −2.77929 | + | 0.816073i | −0.0984475 | + | 0.0289068i | −0.330585 | − | 0.943776i | \(-0.607246\pi\) |
0.232138 | + | 0.972683i | \(0.425428\pi\) | |||||||
\(798\) | 12.4974 | + | 1.41728i | 0.442402 | + | 0.0501712i | ||||
\(799\) | −20.9857 | + | 24.2188i | −0.742421 | + | 0.856800i | ||||
\(800\) | 0.157618 | + | 3.30881i | 0.00557264 | + | 0.116984i | ||||
\(801\) | 0.556293 | − | 1.60730i | 0.0196556 | − | 0.0567913i | ||||
\(802\) | −3.34964 | − | 13.8074i | −0.118280 | − | 0.487557i | ||||
\(803\) | 7.95406 | + | 11.1699i | 0.280693 | + | 0.394177i | ||||
\(804\) | 6.26062 | 0.220795 | ||||||||
\(805\) | 9.11408 | + | 13.7336i | 0.321229 | + | 0.484045i | ||||
\(806\) | 3.25852 | 0.114776 | ||||||||
\(807\) | −1.17131 | − | 1.64488i | −0.0412321 | − | 0.0579024i | ||||
\(808\) | −2.78163 | − | 11.4660i | −0.0978572 | − | 0.403373i | ||||
\(809\) | 16.0426 | − | 46.3519i | 0.564026 | − | 1.62965i | −0.196620 | − | 0.980480i | \(-0.562996\pi\) |
0.760646 | − | 0.649167i | \(-0.224882\pi\) | |||||||
\(810\) | −0.0618096 | − | 1.29754i | −0.00217177 | − | 0.0455910i | ||||
\(811\) | 2.16580 | − | 2.49946i | 0.0760514 | − | 0.0877680i | −0.716449 | − | 0.697640i | \(-0.754234\pi\) |
0.792500 | + | 0.609872i | \(0.208779\pi\) | |||||||
\(812\) | 9.10335 | − | 12.3159i | 0.319465 | − | 0.432204i | ||||
\(813\) | −17.9971 | + | 5.28442i | −0.631185 | + | 0.185333i | ||||
\(814\) | −9.80886 | + | 5.05682i | −0.343801 | + | 0.177241i | ||||
\(815\) | −0.465737 | + | 0.366259i | −0.0163140 | + | 0.0128295i | ||||
\(816\) | −3.44052 | + | 4.83153i | −0.120442 | + | 0.169137i | ||||
\(817\) | 49.4876 | + | 4.72549i | 1.73135 | + | 0.165324i | ||||
\(818\) | −1.14584 | − | 7.96950i | −0.0400634 | − | 0.278647i | ||||
\(819\) | 0.679968 | − | 1.13096i | 0.0237600 | − | 0.0395190i | ||||
\(820\) | −2.77609 | + | 0.815135i | −0.0969454 | + | 0.0284657i | ||||
\(821\) | 39.2837 | + | 30.8931i | 1.37101 | + | 1.07818i | 0.988004 | + | 0.154431i | \(0.0493543\pi\) |
0.383008 | + | 0.923745i | \(0.374888\pi\) | |||||||
\(822\) | 15.2307 | + | 2.93549i | 0.531233 | + | 0.102387i | ||||
\(823\) | −29.8626 | − | 15.3952i | −1.04094 | − | 0.536644i | −0.149023 | − | 0.988834i | \(-0.547613\pi\) |
−0.891922 | + | 0.452189i | \(0.850643\pi\) | |||||||
\(824\) | 10.4068 | − | 2.00575i | 0.362539 | − | 0.0698737i | ||||
\(825\) | −4.60264 | − | 1.35146i | −0.160243 | − | 0.0470517i | ||||
\(826\) | −0.869859 | − | 6.91837i | −0.0302663 | − | 0.240721i | ||||
\(827\) | −10.3793 | −0.360925 | −0.180462 | − | 0.983582i | \(-0.557759\pi\) | ||||
−0.180462 | + | 0.983582i | \(0.557759\pi\) | |||||||
\(828\) | 4.62154 | − | 1.28117i | 0.160610 | − | 0.0445236i | ||||
\(829\) | 11.0790 | + | 19.1894i | 0.384791 | + | 0.666477i | 0.991740 | − | 0.128263i | \(-0.0409403\pi\) |
−0.606950 | + | 0.794740i | \(0.707607\pi\) | |||||||
\(830\) | 17.0236 | − | 1.62555i | 0.590897 | − | 0.0564238i | ||||
\(831\) | 9.46039 | − | 9.02046i | 0.328177 | − | 0.312916i | ||||
\(832\) | −0.326628 | − | 0.376949i | −0.0113238 | − | 0.0130683i | ||||
\(833\) | 33.5256 | − | 24.4928i | 1.16159 | − | 0.848625i | ||||
\(834\) | −10.5542 | + | 12.1802i | −0.365463 | + | 0.421767i | ||||
\(835\) | −9.95637 | − | 7.82978i | −0.344554 | − | 0.270961i | ||||
\(836\) | 4.98224 | + | 4.75056i | 0.172315 | + | 0.164302i | ||||
\(837\) | −0.310855 | + | 6.52565i | −0.0107447 | + | 0.225559i | ||||
\(838\) | −8.97935 | − | 3.59479i | −0.310187 | − | 0.124180i | ||||
\(839\) | 8.58402 | + | 18.7964i | 0.296353 | + | 0.648923i | 0.997974 | − | 0.0636278i | \(-0.0202671\pi\) |
−0.701620 | + | 0.712551i | \(0.747540\pi\) | |||||||
\(840\) | 2.85789 | + | 1.90906i | 0.0986067 | + | 0.0658689i | ||||
\(841\) | −0.641496 | − | 4.46170i | −0.0221205 | − | 0.153852i | ||||
\(842\) | −1.64472 | + | 0.847911i | −0.0566807 | + | 0.0292210i | ||||
\(843\) | 19.4883 | + | 18.5821i | 0.671213 | + | 0.640001i | ||||
\(844\) | 25.4310 | − | 10.1810i | 0.875370 | − | 0.350445i | ||||
\(845\) | 5.41756 | + | 15.6530i | 0.186370 | + | 0.538480i | ||||
\(846\) | 4.54515 | − | 2.92099i | 0.156266 | − | 0.100426i | ||||
\(847\) | 17.3330 | − | 15.9502i | 0.595569 | − | 0.548054i | ||||
\(848\) | 9.95146 | + | 2.92201i | 0.341734 | + | 0.100342i | ||||
\(849\) | −10.2291 | − | 14.3647i | −0.351061 | − | 0.492996i | ||||
\(850\) | 9.82397 | + | 17.0156i | 0.336959 | + | 0.583631i | ||||
\(851\) | −20.7456 | − | 30.0891i | −0.711149 | − | 1.03144i | ||||
\(852\) | 4.46186 | − | 7.72816i | 0.152861 | − | 0.264762i | ||||
\(853\) | −0.577541 | + | 1.26464i | −0.0197746 | + | 0.0433004i | −0.919262 | − | 0.393647i | \(-0.871213\pi\) |
0.899487 | + | 0.436948i | \(0.143940\pi\) | |||||||
\(854\) | 25.4979 | + | 25.1900i | 0.872521 | + | 0.861982i | ||||
\(855\) | 4.04397 | + | 4.66699i | 0.138301 | + | 0.159608i | ||||
\(856\) | 0.461211 | + | 9.68201i | 0.0157639 | + | 0.330924i | ||||
\(857\) | −23.0812 | − | 4.44853i | −0.788438 | − | 0.151959i | −0.220889 | − | 0.975299i | \(-0.570896\pi\) |
−0.567548 | + | 0.823340i | \(0.692108\pi\) | |||||||
\(858\) | 0.670542 | − | 0.268444i | 0.0228919 | − | 0.00916454i | ||||
\(859\) | 7.08166 | − | 29.1910i | 0.241623 | − | 0.995984i | −0.713707 | − | 0.700444i | \(-0.752985\pi\) |
0.955330 | − | 0.295540i | \(-0.0954996\pi\) | |||||||
\(860\) | 11.4278 | + | 7.34422i | 0.389686 | + | 0.250436i | ||||
\(861\) | 2.02577 | − | 5.53374i | 0.0690379 | − | 0.188589i | ||||
\(862\) | −3.75439 | − | 8.22096i | −0.127875 | − | 0.280007i | ||||
\(863\) | −8.46722 | − | 0.808522i | −0.288228 | − | 0.0275224i | −0.0500591 | − | 0.998746i | \(-0.515941\pi\) |
−0.238168 | + | 0.971224i | \(0.576547\pi\) | |||||||
\(864\) | 0.786053 | − | 0.618159i | 0.0267421 | − | 0.0210302i | ||||
\(865\) | 1.11794e−5 | 0 | 0.000234685i | 3.80111e−7 | 0 | 7.97952e-6i | ||||
\(866\) | −5.98403 | + | 24.6665i | −0.203346 | + | 0.838202i | ||||
\(867\) | −2.58740 | + | 17.9958i | −0.0878728 | + | 0.611169i | ||||
\(868\) | −13.3953 | − | 10.9239i | −0.454665 | − | 0.370781i | ||||
\(869\) | 11.3450 | − | 7.29101i | 0.384854 | − | 0.247331i | ||||
\(870\) | 7.38356 | − | 1.42306i | 0.250326 | − | 0.0482464i | ||||
\(871\) | 0.736190 | + | 3.03461i | 0.0249448 | + | 0.102824i | ||||
\(872\) | −18.8471 | + | 1.79968i | −0.638243 | + | 0.0609448i | ||||
\(873\) | 2.56275 | − | 4.43882i | 0.0867361 | − | 0.150231i | ||||
\(874\) | −13.5048 | + | 18.3684i | −0.456805 | + | 0.621321i | ||||
\(875\) | 24.3039 | − | 15.0173i | 0.821622 | − | 0.507677i | ||||
\(876\) | −3.93368 | + | 8.61355i | −0.132907 | + | 0.291025i | ||||
\(877\) | 15.0605 | − | 14.3602i | 0.508558 | − | 0.484909i | −0.391805 | − | 0.920048i | \(-0.628149\pi\) |
0.900363 | + | 0.435139i | \(0.143301\pi\) | |||||||
\(878\) | −2.84140 | + | 8.20969i | −0.0958926 | + | 0.277063i | ||||
\(879\) | −24.4845 | − | 12.6226i | −0.825842 | − | 0.425751i | ||||
\(880\) | 0.615253 | + | 1.77766i | 0.0207402 | + | 0.0599248i | ||||
\(881\) | −6.21204 | + | 43.2057i | −0.209289 | + | 1.45564i | 0.566195 | + | 0.824271i | \(0.308415\pi\) |
−0.775485 | + | 0.631367i | \(0.782494\pi\) | |||||||
\(882\) | −6.58670 | + | 2.36969i | −0.221786 | + | 0.0797915i | ||||
\(883\) | −10.3175 | − | 6.63064i | −0.347211 | − | 0.223139i | 0.355398 | − | 0.934715i | \(-0.384345\pi\) |
−0.702609 | + | 0.711576i | \(0.747982\pi\) | |||||||
\(884\) | −2.74649 | − | 1.09953i | −0.0923743 | − | 0.0369811i | ||||
\(885\) | 1.98584 | − | 2.78873i | 0.0667534 | − | 0.0937421i | ||||
\(886\) | 1.27505 | − | 1.79056i | 0.0428362 | − | 0.0601550i | ||||
\(887\) | 24.4310 | + | 9.78068i | 0.820311 | + | 0.328403i | 0.743579 | − | 0.668649i | \(-0.233127\pi\) |
0.0767328 | + | 0.997052i | \(0.475551\pi\) | |||||||
\(888\) | −6.41096 | − | 4.12007i | −0.215138 | − | 0.138261i | ||||
\(889\) | 12.6143 | − | 14.0467i | 0.423069 | − | 0.471111i | ||||
\(890\) | −0.314434 | + | 2.18694i | −0.0105399 | + | 0.0733063i | ||||
\(891\) | 0.473630 | + | 1.36847i | 0.0158672 | + | 0.0458453i | ||||
\(892\) | 19.2791 | + | 9.93909i | 0.645513 | + | 0.332785i | ||||
\(893\) | −8.40048 | + | 24.2716i | −0.281111 | + | 0.812218i | ||||
\(894\) | 15.3972 | − | 14.6812i | 0.514961 | − | 0.491014i | ||||
\(895\) | 4.03379 | − | 8.83277i | 0.134835 | − | 0.295247i | ||||
\(896\) | 0.0790319 | + | 2.64457i | 0.00264027 | + | 0.0883489i | ||||
\(897\) | 1.16445 | + | 2.08947i | 0.0388798 | + | 0.0697655i | ||||
\(898\) | −13.1594 | + | 22.7927i | −0.439134 | + | 0.760603i | ||||
\(899\) | −37.6458 | + | 3.59474i | −1.25556 | + | 0.119891i | ||||
\(900\) | −0.780966 | − | 3.21918i | −0.0260322 | − | 0.107306i | ||||
\(901\) | 60.4057 | − | 11.6422i | 2.01241 | − | 0.387859i | ||||
\(902\) | 2.71336 | − | 1.74377i | 0.0903449 | − | 0.0580611i | ||||
\(903\) | −25.8640 | + | 9.82617i | −0.860699 | + | 0.326994i | ||||
\(904\) | −0.638509 | + | 4.44093i | −0.0212365 | + | 0.147703i | ||||
\(905\) | −8.04839 | + | 33.1759i | −0.267538 | + | 1.10280i | ||||
\(906\) | 0.334759 | − | 7.02746i | 0.0111216 | − | 0.233472i | ||||
\(907\) | −15.2525 | + | 11.9947i | −0.506451 | + | 0.398277i | −0.838430 | − | 0.545009i | \(-0.816526\pi\) |
0.331979 | + | 0.943287i | \(0.392284\pi\) | |||||||
\(908\) | 14.4442 | + | 1.37925i | 0.479347 | + | 0.0457721i | ||||
\(909\) | 4.90132 | + | 10.7324i | 0.162566 | + | 0.355971i | ||||
\(910\) | −0.589290 | + | 1.60975i | −0.0195348 | + | 0.0533627i | ||||
\(911\) | −6.26243 | − | 4.02462i | −0.207483 | − | 0.133341i | 0.432773 | − | 0.901503i | \(-0.357535\pi\) |
−0.640256 | + | 0.768162i | \(0.721172\pi\) | |||||||
\(912\) | −1.12076 | + | 4.61984i | −0.0371121 | + | 0.152978i | ||||
\(913\) | −17.6982 | + | 7.08530i | −0.585725 | + | 0.234489i | ||||
\(914\) | 19.7826 | + | 3.81279i | 0.654352 | + | 0.126116i | ||||
\(915\) | 0.837344 | + | 17.5780i | 0.0276818 | + | 0.581111i | ||||
\(916\) | 5.28915 | + | 6.10400i | 0.174758 | + | 0.201682i | ||||
\(917\) | −8.81725 | + | 33.7247i | −0.291171 | + | 1.11369i | ||||
\(918\) | 2.46397 | − | 5.39534i | 0.0813231 | − | 0.178073i | ||||
\(919\) | 16.5730 | − | 28.7053i | 0.546693 | − | 0.946900i | −0.451805 | − | 0.892116i | \(-0.649220\pi\) |
0.998498 | − | 0.0547833i | \(-0.0174468\pi\) | |||||||
\(920\) | −5.57999 | + | 2.77034i | −0.183967 | + | 0.0913354i | ||||
\(921\) | −5.44808 | − | 9.43635i | −0.179520 | − | 0.310938i | ||||
\(922\) | −6.60251 | − | 9.27193i | −0.217442 | − | 0.305355i | ||||
\(923\) | 4.27063 | + | 1.25397i | 0.140569 | + | 0.0412749i | ||||
\(924\) | −3.65643 | − | 1.14440i | −0.120288 | − | 0.0376479i | ||||
\(925\) | −21.2367 | + | 13.6480i | −0.698258 | + | 0.448743i | ||||
\(926\) | −4.41382 | − | 12.7529i | −0.145047 | − | 0.419086i | ||||
\(927\) | −9.83917 | + | 3.93901i | −0.323161 | + | 0.129374i | ||||
\(928\) | 4.18939 | + | 3.99457i | 0.137523 | + | 0.131128i | ||||
\(929\) | −31.2560 | + | 16.1136i | −1.02548 | + | 0.528670i | −0.887036 | − | 0.461701i | \(-0.847239\pi\) |
−0.138441 | + | 0.990371i | \(0.544209\pi\) | |||||||
\(930\) | −1.20776 | − | 8.40014i | −0.0396039 | − | 0.275451i | ||||
\(931\) | 17.6493 | − | 28.2108i | 0.578434 | − | 0.924573i | ||||
\(932\) | 6.00518 | + | 13.1495i | 0.196706 | + | 0.430727i | ||||
\(933\) | 13.4287 | + | 5.37604i | 0.439636 | + | 0.176004i | ||||
\(934\) | −1.15872 | + | 24.3245i | −0.0379144 | + | 0.795922i | ||||
\(935\) | 8.07510 | + | 7.69959i | 0.264084 | + | 0.251803i | ||||
\(936\) | 0.392063 | + | 0.308322i | 0.0128150 | + | 0.0100778i | ||||
\(937\) | −26.6593 | + | 30.7665i | −0.870921 | + | 1.00510i | 0.128988 | + | 0.991646i | \(0.458827\pi\) |
−0.999910 | + | 0.0134505i | \(0.995718\pi\) | |||||||
\(938\) | 7.14691 | − | 14.9429i | 0.233355 | − | 0.487902i | ||||
\(939\) | 5.39370 | + | 6.22466i | 0.176017 | + | 0.203134i | ||||
\(940\) | −5.07943 | + | 4.84322i | −0.165673 | + | 0.157969i | ||||
\(941\) | −6.55530 | + | 0.625955i | −0.213697 | + | 0.0204055i | −0.201355 | − | 0.979518i | \(-0.564535\pi\) |
−0.0123414 | + | 0.999924i | \(0.503928\pi\) | |||||||
\(942\) | 0.898782 | + | 1.55674i | 0.0292839 | + | 0.0507212i | ||||
\(943\) | 6.87176 | + | 8.17793i | 0.223775 | + | 0.266310i | ||||
\(944\) | 2.63549 | 0.0857777 | ||||||||
\(945\) | −3.16754 | − | 1.33370i | −0.103040 | − | 0.0433854i | ||||
\(946\) | −14.5300 | − | 4.26640i | −0.472412 | − | 0.138713i | ||||
\(947\) | −20.1910 | + | 3.89149i | −0.656119 | + | 0.126457i | −0.506436 | − | 0.862278i | \(-0.669037\pi\) |
−0.149683 | + | 0.988734i | \(0.547825\pi\) | |||||||
\(948\) | 8.27749 | + | 4.26734i | 0.268840 | + | 0.138597i | ||||
\(949\) | −4.63768 | − | 0.893839i | −0.150545 | − | 0.0290153i | ||||
\(950\) | 12.3783 | + | 9.73439i | 0.401604 | + | 0.315825i | ||||
\(951\) | −28.6742 | + | 8.41950i | −0.929824 | + | 0.273021i | ||||
\(952\) | 7.60433 | + | 13.7273i | 0.246458 | + | 0.444906i | ||||
\(953\) | 0.638131 | + | 4.43830i | 0.0206711 | + | 0.143771i | 0.997543 | − | 0.0700537i | \(-0.0223171\pi\) |
−0.976872 | + | 0.213824i | \(0.931408\pi\) | |||||||
\(954\) | −10.3246 | − | 0.985881i | −0.334272 | − | 0.0319191i | ||||
\(955\) | −4.90170 | + | 6.88348i | −0.158615 | + | 0.222744i | ||||
\(956\) | −1.14553 | + | 0.900852i | −0.0370490 | + | 0.0291356i | ||||
\(957\) | −7.45065 | + | 3.84108i | −0.240845 | + | 0.124164i | ||||
\(958\) | 9.50095 | − | 2.78973i | 0.306962 | − | 0.0901321i | ||||
\(959\) | 24.3933 | − | 33.0017i | 0.787702 | − | 1.06568i | ||||
\(960\) | −0.850674 | + | 0.981730i | −0.0274554 | + | 0.0316852i | ||||
\(961\) | 0.555789 | + | 11.6674i | 0.0179287 | + | 0.376369i | ||||
\(962\) | 1.24319 | − | 3.59197i | 0.0400821 | − | 0.115810i | ||||
\(963\) | −2.28521 | − | 9.41975i | −0.0736398 | − | 0.303547i | ||||
\(964\) | 4.00729 | + | 5.62746i | 0.129066 | + | 0.181248i | ||||
\(965\) | −19.9943 | −0.643640 | ||||||||
\(966\) | 2.21790 | − | 12.4932i | 0.0713597 | − | 0.401963i | ||||
\(967\) | −19.6421 | −0.631648 | −0.315824 | − | 0.948818i | \(-0.602281\pi\) | ||||
−0.315824 | + | 0.948818i | \(0.602281\pi\) | |||||||
\(968\) | 5.16423 | + | 7.25215i | 0.165985 | + | 0.233093i | ||||
\(969\) | 6.64761 | + | 27.4018i | 0.213552 | + | 0.880274i | ||||
\(970\) | −2.17765 | + | 6.29192i | −0.0699203 | + | 0.202021i | ||||
\(971\) | 0.430421 | + | 9.03565i | 0.0138129 | + | 0.289968i | 0.995196 | + | 0.0979059i | \(0.0312144\pi\) |
−0.981383 | + | 0.192062i | \(0.938483\pi\) | |||||||
\(972\) | −0.654861 | + | 0.755750i | −0.0210047 | + | 0.0242407i | ||||
\(973\) | 17.0235 | + | 39.0954i | 0.545747 | + | 1.25334i | ||||
\(974\) | 6.44360 | − | 1.89201i | 0.206466 | − | 0.0606240i | ||||
\(975\) | 1.46855 | − | 0.757091i | 0.0470313 | − | 0.0242463i | ||||
\(976\) | −10.6488 | + | 8.37430i | −0.340859 | + | 0.268055i | ||||
\(977\) | 15.6717 | − | 22.0078i | 0.501382 | − | 0.704093i | −0.483882 | − | 0.875133i | \(-0.660774\pi\) |
0.985264 | + | 0.171041i | \(0.0547130\pi\) | |||||||
\(978\) | 0.454050 | + | 0.0433565i | 0.0145189 | + | 0.00138639i | ||||
\(979\) | −0.350524 | − | 2.43794i | −0.0112028 | − | 0.0779171i | ||||
\(980\) | 7.81903 | − | 4.64190i | 0.249770 | − | 0.148280i | ||||
\(981\) | 18.1659 | − | 5.33399i | 0.579993 | − | 0.170301i | ||||
\(982\) | 26.8234 | + | 21.0942i | 0.855969 | + | 0.673141i | ||||
\(983\) | −36.6311 | − | 7.06007i | −1.16835 | − | 0.225181i | −0.432060 | − | 0.901845i | \(-0.642213\pi\) |
−0.736292 | + | 0.676664i | \(0.763425\pi\) | |||||||
\(984\) | 1.97970 | + | 1.02061i | 0.0631106 | + | 0.0325358i | ||||
\(985\) | −6.07786 | + | 1.17141i | −0.193657 | + | 0.0373243i | ||||
\(986\) | 32.9432 | + | 9.67301i | 1.04913 | + | 0.308051i | ||||
\(987\) | −1.78324 | − | 14.1829i | −0.0567612 | − | 0.451446i | ||||
\(988\) | −2.37109 | −0.0754345 | ||||||||
\(989\) | 7.88974 | − | 49.5274i | 0.250879 | − | 1.57488i | ||||
\(990\) | −0.940558 | − | 1.62909i | −0.0298929 | − | 0.0517760i | ||||
\(991\) | 20.1868 | − | 1.92760i | 0.641254 | − | 0.0612323i | 0.230636 | − | 0.973040i | \(-0.425919\pi\) |
0.410618 | + | 0.911808i | \(0.365313\pi\) | |||||||
\(992\) | 4.72819 | − | 4.50832i | 0.150120 | − | 0.143139i | ||||
\(993\) | −10.7576 | − | 12.4149i | −0.341382 | − | 0.393976i | ||||
\(994\) | −13.3521 | − | 19.4718i | −0.423503 | − | 0.617607i | ||||
\(995\) | −19.2891 | + | 22.2608i | −0.611507 | + | 0.705716i | ||||
\(996\) | −10.3481 | − | 8.13782i | −0.327891 | − | 0.257857i | ||||
\(997\) | −28.3153 | − | 26.9986i | −0.896755 | − | 0.855054i | 0.0933142 | − | 0.995637i | \(-0.470254\pi\) |
−0.990069 | + | 0.140583i | \(0.955102\pi\) | |||||||
\(998\) | −0.908090 | + | 19.0632i | −0.0287451 | + | 0.603433i | ||||
\(999\) | 7.07483 | + | 2.83233i | 0.223838 | + | 0.0896111i |
(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 | 966.2.y.b.121.6 | ✓ | 160 | |
7.4 | even | 3 | inner | 966.2.y.b.949.3 | yes | 160 | |
23.4 | even | 11 | inner | 966.2.y.b.625.3 | yes | 160 | |
161.4 | even | 33 | inner | 966.2.y.b.487.6 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.y.b.121.6 | ✓ | 160 | 1.1 | even | 1 | trivial | |
966.2.y.b.487.6 | yes | 160 | 161.4 | even | 33 | inner | |
966.2.y.b.625.3 | yes | 160 | 23.4 | even | 11 | inner | |
966.2.y.b.949.3 | yes | 160 | 7.4 | even | 3 | inner |