Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(193,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([14, 22]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.193");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.y (of order \(21\), degree \(12\), 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: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 583.23 | ||
Character | \(\chi\) | \(=\) | 882.583 |
Dual form | 882.2.y.a.823.23 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{4}{21}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.365341 | + | 0.930874i | −0.258335 | + | 0.658227i | ||||
\(3\) | 1.29485 | + | 1.15037i | 0.747582 | + | 0.664169i | ||||
\(4\) | −0.733052 | − | 0.680173i | −0.366526 | − | 0.340086i | ||||
\(5\) | −1.94902 | + | 0.938599i | −0.871629 | + | 0.419754i | −0.815560 | − | 0.578673i | \(-0.803571\pi\) |
−0.0560690 | + | 0.998427i | \(0.517857\pi\) | |||||||
\(6\) | −1.54392 | + | 0.785064i | −0.630301 | + | 0.320501i | ||||
\(7\) | −2.64202 | − | 0.140543i | −0.998588 | − | 0.0531201i | ||||
\(8\) | 0.900969 | − | 0.433884i | 0.318541 | − | 0.153401i | ||||
\(9\) | 0.353277 | + | 2.97913i | 0.117759 | + | 0.993042i | ||||
\(10\) | −0.161660 | − | 2.15720i | −0.0511214 | − | 0.682167i | ||||
\(11\) | −0.448822 | − | 0.562805i | −0.135325 | − | 0.169692i | 0.709552 | − | 0.704654i | \(-0.248898\pi\) |
−0.844876 | + | 0.534961i | \(0.820326\pi\) | |||||||
\(12\) | −0.166739 | − | 1.72401i | −0.0481335 | − | 0.497678i | ||||
\(13\) | −1.22878 | + | 3.13088i | −0.340802 | + | 0.868350i | 0.653017 | + | 0.757343i | \(0.273503\pi\) |
−0.993820 | + | 0.111007i | \(0.964592\pi\) | |||||||
\(14\) | 1.09606 | − | 2.40804i | 0.292935 | − | 0.643575i | ||||
\(15\) | −3.60343 | − | 1.02676i | −0.930402 | − | 0.265108i | ||||
\(16\) | 0.0747301 | + | 0.997204i | 0.0186825 | + | 0.249301i | ||||
\(17\) | 0.852993 | − | 0.791462i | 0.206881 | − | 0.191958i | −0.569926 | − | 0.821696i | \(-0.693028\pi\) |
0.776808 | + | 0.629738i | \(0.216838\pi\) | |||||||
\(18\) | −2.90226 | − | 0.759541i | −0.684069 | − | 0.179026i | ||||
\(19\) | −0.379018 | + | 0.656478i | −0.0869527 | + | 0.150606i | −0.906222 | − | 0.422803i | \(-0.861046\pi\) |
0.819269 | + | 0.573409i | \(0.194380\pi\) | |||||||
\(20\) | 2.06714 | + | 0.637629i | 0.462227 | + | 0.142578i | ||||
\(21\) | −3.25934 | − | 3.22129i | −0.711246 | − | 0.702943i | ||||
\(22\) | 0.687873 | − | 0.212181i | 0.146655 | − | 0.0452371i | ||||
\(23\) | 1.76320 | − | 7.72507i | 0.367652 | − | 1.61079i | −0.365560 | − | 0.930788i | \(-0.619122\pi\) |
0.733212 | − | 0.680000i | \(-0.238020\pi\) | |||||||
\(24\) | 1.66575 | + | 0.474637i | 0.340020 | + | 0.0968849i | ||||
\(25\) | −0.199732 | + | 0.250457i | −0.0399465 | + | 0.0500913i | ||||
\(26\) | −2.46553 | − | 2.28768i | −0.483530 | − | 0.448651i | ||||
\(27\) | −2.96967 | + | 4.26393i | −0.571513 | + | 0.820593i | ||||
\(28\) | 1.84114 | + | 1.90005i | 0.347943 | + | 0.359076i | ||||
\(29\) | −9.23714 | − | 2.84928i | −1.71529 | − | 0.529098i | −0.727669 | − | 0.685928i | \(-0.759396\pi\) |
−0.987626 | + | 0.156830i | \(0.949872\pi\) | |||||||
\(30\) | 2.27226 | − | 2.97922i | 0.414857 | − | 0.543929i | ||||
\(31\) | 2.90072 | − | 5.02419i | 0.520984 | − | 0.902371i | −0.478718 | − | 0.877969i | \(-0.658898\pi\) |
0.999702 | − | 0.0244024i | \(-0.00776831\pi\) | |||||||
\(32\) | −0.955573 | − | 0.294755i | −0.168923 | − | 0.0521058i | ||||
\(33\) | 0.0662790 | − | 1.24506i | 0.0115377 | − | 0.216737i | ||||
\(34\) | 0.425118 | + | 1.08318i | 0.0729071 | + | 0.185764i | ||||
\(35\) | 5.28126 | − | 2.20587i | 0.892696 | − | 0.372861i | ||||
\(36\) | 1.76735 | − | 2.42414i | 0.294558 | − | 0.404024i | ||||
\(37\) | −3.66166 | − | 1.12947i | −0.601973 | − | 0.185684i | −0.0212351 | − | 0.999775i | \(-0.506760\pi\) |
−0.580738 | + | 0.814090i | \(0.697236\pi\) | |||||||
\(38\) | −0.472628 | − | 0.592656i | −0.0766703 | − | 0.0961415i | ||||
\(39\) | −5.19277 | + | 2.64047i | −0.831509 | + | 0.422813i | ||||
\(40\) | −1.34876 | + | 1.69130i | −0.213258 | + | 0.267418i | ||||
\(41\) | −5.47442 | − | 3.73240i | −0.854961 | − | 0.582902i | 0.0545835 | − | 0.998509i | \(-0.482617\pi\) |
−0.909544 | + | 0.415607i | \(0.863569\pi\) | |||||||
\(42\) | 4.18938 | − | 1.85716i | 0.646436 | − | 0.286567i | ||||
\(43\) | −3.14009 | + | 2.14087i | −0.478859 | + | 0.326480i | −0.778579 | − | 0.627547i | \(-0.784059\pi\) |
0.299720 | + | 0.954027i | \(0.403107\pi\) | |||||||
\(44\) | −0.0537948 | + | 0.717842i | −0.00810987 | + | 0.108219i | ||||
\(45\) | −3.48475 | − | 5.47480i | −0.519476 | − | 0.816135i | ||||
\(46\) | 6.54690 | + | 4.46360i | 0.965287 | + | 0.658122i | ||||
\(47\) | 3.90343 | − | 9.94577i | 0.569373 | − | 1.45074i | −0.298722 | − | 0.954340i | \(-0.596560\pi\) |
0.868095 | − | 0.496399i | \(-0.165345\pi\) | |||||||
\(48\) | −1.05039 | + | 1.37720i | −0.151611 | + | 0.198781i | ||||
\(49\) | 6.96050 | + | 0.742631i | 0.994357 | + | 0.106090i | ||||
\(50\) | −0.160173 | − | 0.277428i | −0.0226519 | − | 0.0392342i | ||||
\(51\) | 2.01498 | − | 0.0435636i | 0.282153 | − | 0.00610012i | ||||
\(52\) | 3.03030 | − | 1.45931i | 0.420227 | − | 0.202371i | ||||
\(53\) | −6.47800 | + | 1.99820i | −0.889822 | + | 0.274474i | −0.705769 | − | 0.708442i | \(-0.749398\pi\) |
−0.184053 | + | 0.982916i | \(0.558922\pi\) | |||||||
\(54\) | −2.88423 | − | 4.32217i | −0.392494 | − | 0.588174i | ||||
\(55\) | 1.40301 | + | 0.675655i | 0.189182 | + | 0.0911053i | ||||
\(56\) | −2.44135 | + | 1.01970i | −0.326240 | + | 0.136264i | ||||
\(57\) | −1.24597 | + | 0.414029i | −0.165032 | + | 0.0548395i | ||||
\(58\) | 6.02703 | − | 7.55766i | 0.791388 | − | 0.992369i | ||||
\(59\) | −4.04722 | + | 2.75935i | −0.526904 | + | 0.359237i | −0.797368 | − | 0.603493i | \(-0.793775\pi\) |
0.270465 | + | 0.962730i | \(0.412823\pi\) | |||||||
\(60\) | 1.94313 | + | 3.20362i | 0.250857 | + | 0.413586i | ||||
\(61\) | −4.32022 | + | 4.00858i | −0.553148 | + | 0.513246i | −0.906478 | − | 0.422253i | \(-0.861240\pi\) |
0.353331 | + | 0.935499i | \(0.385049\pi\) | |||||||
\(62\) | 3.61714 | + | 4.53574i | 0.459377 | + | 0.576040i | ||||
\(63\) | −0.514669 | − | 7.92055i | −0.0648423 | − | 0.997896i | ||||
\(64\) | 0.623490 | − | 0.781831i | 0.0779362 | − | 0.0977289i | ||||
\(65\) | −0.543723 | − | 7.25549i | −0.0674406 | − | 0.899932i | ||||
\(66\) | 1.13478 | + | 0.516570i | 0.139682 | + | 0.0635853i | ||||
\(67\) | −5.74399 | + | 9.94888i | −0.701740 | + | 1.21545i | 0.266115 | + | 0.963941i | \(0.414260\pi\) |
−0.967855 | + | 0.251508i | \(0.919074\pi\) | |||||||
\(68\) | −1.16362 | −0.141110 | ||||||||
\(69\) | 11.1698 | − | 7.97447i | 1.34469 | − | 0.960014i | ||||
\(70\) | 0.123930 | + | 5.72208i | 0.0148124 | + | 0.683920i | ||||
\(71\) | −3.26247 | + | 14.2938i | −0.387184 | + | 1.69636i | 0.287107 | + | 0.957899i | \(0.407306\pi\) |
−0.674291 | + | 0.738466i | \(0.735551\pi\) | |||||||
\(72\) | 1.61089 | + | 2.53082i | 0.189845 | + | 0.298260i | ||||
\(73\) | 9.77285 | + | 1.47302i | 1.14383 | + | 0.172404i | 0.693497 | − | 0.720459i | \(-0.256069\pi\) |
0.450328 | + | 0.892863i | \(0.351307\pi\) | |||||||
\(74\) | 2.38915 | − | 2.99590i | 0.277733 | − | 0.348267i | ||||
\(75\) | −0.546742 | + | 0.0945367i | −0.0631324 | + | 0.0109162i | ||||
\(76\) | 0.724358 | − | 0.223435i | 0.0830896 | − | 0.0256297i | ||||
\(77\) | 1.10670 | + | 1.55002i | 0.126120 | + | 0.176641i | ||||
\(78\) | −0.560808 | − | 5.79848i | −0.0634990 | − | 0.656549i | ||||
\(79\) | 2.73856 | + | 4.74332i | 0.308112 | + | 0.533665i | 0.977949 | − | 0.208843i | \(-0.0669697\pi\) |
−0.669838 | + | 0.742508i | \(0.733636\pi\) | |||||||
\(80\) | −1.08163 | − | 1.87343i | −0.120929 | − | 0.209456i | ||||
\(81\) | −8.75039 | + | 2.10491i | −0.972266 | + | 0.233879i | ||||
\(82\) | 5.47442 | − | 3.73240i | 0.604549 | − | 0.412174i | ||||
\(83\) | 3.62567 | + | 9.23807i | 0.397969 | + | 1.01401i | 0.979672 | + | 0.200608i | \(0.0642917\pi\) |
−0.581702 | + | 0.813402i | \(0.697613\pi\) | |||||||
\(84\) | 0.198232 | + | 4.57829i | 0.0216289 | + | 0.499532i | ||||
\(85\) | −0.919637 | + | 2.34320i | −0.0997486 | + | 0.254155i | ||||
\(86\) | −0.845682 | − | 3.70517i | −0.0911922 | − | 0.399539i | ||||
\(87\) | −8.68298 | − | 14.3156i | −0.930913 | − | 1.53479i | ||||
\(88\) | −0.648567 | − | 0.312333i | −0.0691374 | − | 0.0332948i | ||||
\(89\) | 3.63899 | + | 9.27200i | 0.385733 | + | 0.982831i | 0.983459 | + | 0.181130i | \(0.0579756\pi\) |
−0.597727 | + | 0.801700i | \(0.703929\pi\) | |||||||
\(90\) | 6.36947 | − | 1.24370i | 0.671401 | − | 0.131097i | ||||
\(91\) | 3.68648 | − | 8.09914i | 0.386448 | − | 0.849020i | ||||
\(92\) | −6.54690 | + | 4.46360i | −0.682561 | + | 0.465362i | ||||
\(93\) | 9.53570 | − | 3.16866i | 0.988806 | − | 0.328575i | ||||
\(94\) | 7.83217 | + | 7.26719i | 0.807827 | + | 0.749554i | ||||
\(95\) | 0.122544 | − | 1.63524i | 0.0125727 | − | 0.167772i | ||||
\(96\) | −0.898245 | − | 1.48093i | −0.0916768 | − | 0.151147i | ||||
\(97\) | −7.86813 | + | 13.6280i | −0.798887 | + | 1.38371i | 0.121454 | + | 0.992597i | \(0.461244\pi\) |
−0.920341 | + | 0.391117i | \(0.872089\pi\) | |||||||
\(98\) | −3.23425 | + | 6.20803i | −0.326709 | + | 0.627106i | ||||
\(99\) | 1.51811 | − | 1.53592i | 0.152576 | − | 0.154366i | ||||
\(100\) | 0.316768 | − | 0.0477451i | 0.0316768 | − | 0.00477451i | ||||
\(101\) | −0.648645 | + | 0.312371i | −0.0645426 | + | 0.0310821i | −0.465877 | − | 0.884850i | \(-0.654261\pi\) |
0.401334 | + | 0.915932i | \(0.368547\pi\) | |||||||
\(102\) | −0.695602 | + | 1.89160i | −0.0688748 | + | 0.187297i | ||||
\(103\) | −0.920858 | + | 0.443462i | −0.0907348 | + | 0.0436956i | −0.478701 | − | 0.877978i | \(-0.658892\pi\) |
0.387966 | + | 0.921674i | \(0.373178\pi\) | |||||||
\(104\) | 0.251346 | + | 3.35397i | 0.0246465 | + | 0.328884i | ||||
\(105\) | 9.37602 | + | 3.21915i | 0.915006 | + | 0.314157i | ||||
\(106\) | 0.506609 | − | 6.76023i | 0.0492062 | − | 0.656611i | ||||
\(107\) | −3.16076 | − | 8.05349i | −0.305562 | − | 0.778560i | −0.998350 | − | 0.0574187i | \(-0.981713\pi\) |
0.692788 | − | 0.721141i | \(-0.256382\pi\) | |||||||
\(108\) | 5.07713 | − | 1.10579i | 0.488547 | − | 0.106405i | ||||
\(109\) | 1.52497 | − | 3.88556i | 0.146066 | − | 0.372170i | −0.839052 | − | 0.544052i | \(-0.816890\pi\) |
0.985118 | + | 0.171882i | \(0.0549848\pi\) | |||||||
\(110\) | −1.14153 | + | 1.05918i | −0.108840 | + | 0.100989i | ||||
\(111\) | −3.44199 | − | 5.67478i | −0.326699 | − | 0.538626i | ||||
\(112\) | −0.0572886 | − | 2.64513i | −0.00541326 | − | 0.249941i | ||||
\(113\) | 17.2830 | + | 2.60500i | 1.62585 | + | 0.245058i | 0.897780 | − | 0.440444i | \(-0.145179\pi\) |
0.728071 | + | 0.685502i | \(0.240417\pi\) | |||||||
\(114\) | 0.0697944 | − | 1.31110i | 0.00653685 | − | 0.122796i | ||||
\(115\) | 3.81424 | + | 16.7113i | 0.355679 | + | 1.55833i | ||||
\(116\) | 4.83330 | + | 8.37152i | 0.448761 | + | 0.777277i | ||||
\(117\) | −9.76139 | − | 2.55462i | −0.902441 | − | 0.236175i | ||||
\(118\) | −1.08999 | − | 4.77556i | −0.100342 | − | 0.439626i | ||||
\(119\) | −2.36486 | + | 1.97117i | −0.216786 | + | 0.180697i | ||||
\(120\) | −3.69207 | + | 0.638393i | −0.337039 | + | 0.0582771i | ||||
\(121\) | 2.33242 | − | 10.2190i | 0.212038 | − | 0.929001i | ||||
\(122\) | −2.15313 | − | 5.48608i | −0.194935 | − | 0.496686i | ||||
\(123\) | −2.79490 | − | 11.1305i | −0.252008 | − | 1.00361i | ||||
\(124\) | −5.54369 | + | 1.71000i | −0.497838 | + | 0.153563i | ||||
\(125\) | 2.56105 | − | 11.2207i | 0.229067 | − | 1.00361i | ||||
\(126\) | 7.56106 | + | 2.41461i | 0.673593 | + | 0.215111i | ||||
\(127\) | 0.415903 | + | 1.82219i | 0.0369055 | + | 0.161693i | 0.990023 | − | 0.140908i | \(-0.0450021\pi\) |
−0.953117 | + | 0.302601i | \(0.902145\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | −6.52875 | − | 0.840162i | −0.574824 | − | 0.0739722i | ||||
\(130\) | 6.95259 | + | 2.14459i | 0.609782 | + | 0.188093i | ||||
\(131\) | −9.58240 | − | 4.61464i | −0.837218 | − | 0.403183i | −0.0344007 | − | 0.999408i | \(-0.510952\pi\) |
−0.802817 | + | 0.596225i | \(0.796667\pi\) | |||||||
\(132\) | −0.895443 | + | 0.867614i | −0.0779383 | + | 0.0755161i | ||||
\(133\) | 1.09363 | − | 1.68116i | 0.0948301 | − | 0.145775i | ||||
\(134\) | −7.16264 | − | 8.98166i | −0.618757 | − | 0.775897i | ||||
\(135\) | 1.78583 | − | 11.0978i | 0.153700 | − | 0.955148i | ||||
\(136\) | 0.425118 | − | 1.08318i | 0.0364536 | − | 0.0928822i | ||||
\(137\) | −14.9699 | − | 7.20914i | −1.27897 | − | 0.615918i | −0.333843 | − | 0.942629i | \(-0.608346\pi\) |
−0.945124 | + | 0.326710i | \(0.894060\pi\) | |||||||
\(138\) | 3.34244 | + | 13.3111i | 0.284528 | + | 1.13311i | ||||
\(139\) | 2.66967 | + | 1.82015i | 0.226438 | + | 0.154383i | 0.671225 | − | 0.741253i | \(-0.265768\pi\) |
−0.444787 | + | 0.895636i | \(0.646721\pi\) | |||||||
\(140\) | −5.37181 | − | 1.97515i | −0.454001 | − | 0.166931i | ||||
\(141\) | 16.4957 | − | 8.38788i | 1.38919 | − | 0.706387i | ||||
\(142\) | −12.1138 | − | 8.25907i | −1.01657 | − | 0.693085i | ||||
\(143\) | 2.31358 | − | 0.713644i | 0.193471 | − | 0.0596779i | ||||
\(144\) | −2.94440 | + | 0.574920i | −0.245366 | + | 0.0479100i | ||||
\(145\) | 20.6777 | − | 3.11667i | 1.71719 | − | 0.258825i | ||||
\(146\) | −4.94162 | + | 8.55913i | −0.408971 | + | 0.708359i | ||||
\(147\) | 8.15850 | + | 8.96877i | 0.672902 | + | 0.739732i | ||||
\(148\) | 1.91595 | + | 3.31852i | 0.157490 | + | 0.272781i | ||||
\(149\) | −8.52781 | − | 10.6935i | −0.698625 | − | 0.876048i | 0.298295 | − | 0.954474i | \(-0.403582\pi\) |
−0.996920 | + | 0.0784254i | \(0.975011\pi\) | |||||||
\(150\) | 0.111746 | − | 0.543486i | 0.00912400 | − | 0.0443755i | ||||
\(151\) | −4.88476 | + | 21.4015i | −0.397516 | + | 1.74163i | 0.239606 | + | 0.970870i | \(0.422982\pi\) |
−0.637122 | + | 0.770763i | \(0.719875\pi\) | |||||||
\(152\) | −0.0566481 | + | 0.755916i | −0.00459477 | + | 0.0613129i | ||||
\(153\) | 2.65921 | + | 2.26157i | 0.214984 | + | 0.182837i | ||||
\(154\) | −1.84719 | + | 0.463910i | −0.148851 | + | 0.0373829i | ||||
\(155\) | −0.937860 | + | 12.5149i | −0.0753307 | + | 1.00522i | ||||
\(156\) | 5.60254 | + | 1.59638i | 0.448562 | + | 0.127813i | ||||
\(157\) | −1.93687 | + | 1.32054i | −0.154579 | + | 0.105390i | −0.638140 | − | 0.769921i | \(-0.720296\pi\) |
0.483560 | + | 0.875311i | \(0.339343\pi\) | |||||||
\(158\) | −5.41594 | + | 0.816321i | −0.430869 | + | 0.0649430i | ||||
\(159\) | −10.6867 | − | 4.86476i | −0.847512 | − | 0.385800i | ||||
\(160\) | 2.13909 | − | 0.322416i | 0.169110 | − | 0.0254892i | ||||
\(161\) | −5.74409 | + | 20.1620i | −0.452698 | + | 1.58898i | ||||
\(162\) | 1.23747 | − | 8.91452i | 0.0972247 | − | 0.700391i | ||||
\(163\) | −9.29210 | + | 6.33524i | −0.727813 | + | 0.496215i | −0.869646 | − | 0.493676i | \(-0.835653\pi\) |
0.141833 | + | 0.989891i | \(0.454700\pi\) | |||||||
\(164\) | 1.47436 | + | 6.45959i | 0.115128 | + | 0.504409i | ||||
\(165\) | 1.03944 | + | 2.48886i | 0.0809199 | + | 0.193758i | ||||
\(166\) | −9.92408 | −0.770258 | ||||||||
\(167\) | −2.05099 | + | 1.90304i | −0.158711 | + | 0.147262i | −0.755531 | − | 0.655113i | \(-0.772621\pi\) |
0.596820 | + | 0.802375i | \(0.296431\pi\) | |||||||
\(168\) | −4.33423 | − | 1.48811i | −0.334393 | − | 0.114810i | ||||
\(169\) | 1.23716 | + | 1.14792i | 0.0951664 | + | 0.0883016i | ||||
\(170\) | −1.84524 | − | 1.71213i | −0.141523 | − | 0.131314i | ||||
\(171\) | −2.08963 | − | 0.897224i | −0.159798 | − | 0.0686124i | ||||
\(172\) | 3.75801 | + | 0.566429i | 0.286546 | + | 0.0431898i | ||||
\(173\) | 2.98607 | − | 0.921081i | 0.227027 | − | 0.0700285i | −0.179155 | − | 0.983821i | \(-0.557336\pi\) |
0.406181 | + | 0.913792i | \(0.366860\pi\) | |||||||
\(174\) | 16.4982 | − | 2.85270i | 1.25073 | − | 0.216262i | ||||
\(175\) | 0.562896 | − | 0.633639i | 0.0425509 | − | 0.0478986i | ||||
\(176\) | 0.527691 | − | 0.489625i | 0.0397762 | − | 0.0369069i | ||||
\(177\) | −8.41484 | − | 1.08288i | −0.632498 | − | 0.0813940i | ||||
\(178\) | −9.96054 | −0.746574 | ||||||||
\(179\) | −1.11465 | + | 1.03425i | −0.0833130 | + | 0.0773031i | −0.720730 | − | 0.693216i | \(-0.756193\pi\) |
0.637417 | + | 0.770519i | \(0.280003\pi\) | |||||||
\(180\) | −1.16930 | + | 6.38354i | −0.0871548 | + | 0.475801i | ||||
\(181\) | 4.95930 | − | 6.21876i | 0.368621 | − | 0.462237i | −0.562579 | − | 0.826743i | \(-0.690191\pi\) |
0.931201 | + | 0.364507i | \(0.118762\pi\) | |||||||
\(182\) | 6.19245 | + | 6.39059i | 0.459015 | + | 0.473702i | ||||
\(183\) | −10.2054 | + | 0.220640i | −0.754406 | + | 0.0163102i | ||||
\(184\) | −1.76320 | − | 7.72507i | −0.129985 | − | 0.569500i | ||||
\(185\) | 8.19678 | − | 1.23547i | 0.602639 | − | 0.0908333i | ||||
\(186\) | −0.534154 | + | 10.0342i | −0.0391661 | + | 0.735741i | ||||
\(187\) | −0.828281 | − | 0.124843i | −0.0605699 | − | 0.00912945i | ||||
\(188\) | −9.62625 | + | 4.63576i | −0.702067 | + | 0.338097i | ||||
\(189\) | 8.44518 | − | 10.8480i | 0.614296 | − | 0.789075i | ||||
\(190\) | 1.47743 | + | 0.711492i | 0.107184 | + | 0.0516170i | ||||
\(191\) | 20.1938 | + | 13.7679i | 1.46117 | + | 0.996212i | 0.993684 | + | 0.112214i | \(0.0357943\pi\) |
0.467491 | + | 0.883998i | \(0.345158\pi\) | |||||||
\(192\) | 1.70673 | − | 0.295108i | 0.123172 | − | 0.0212976i | ||||
\(193\) | 0.229084 | − | 3.05691i | 0.0164898 | − | 0.220041i | −0.982871 | − | 0.184294i | \(-0.941000\pi\) |
0.999361 | − | 0.0357466i | \(-0.0113809\pi\) | |||||||
\(194\) | −9.81140 | − | 12.3031i | −0.704417 | − | 0.883311i | ||||
\(195\) | 7.64248 | − | 10.0203i | 0.547290 | − | 0.717565i | ||||
\(196\) | −4.59729 | − | 5.27873i | −0.328378 | − | 0.377052i | ||||
\(197\) | −12.9328 | −0.921422 | −0.460711 | − | 0.887550i | \(-0.652406\pi\) | ||||
−0.460711 | + | 0.887550i | \(0.652406\pi\) | |||||||
\(198\) | 0.875124 | + | 1.97430i | 0.0621923 | + | 0.140308i | ||||
\(199\) | 2.60509 | + | 1.77612i | 0.184670 | + | 0.125906i | 0.652126 | − | 0.758110i | \(-0.273877\pi\) |
−0.467456 | + | 0.884016i | \(0.654830\pi\) | |||||||
\(200\) | −0.0712837 | + | 0.312314i | −0.00504052 | + | 0.0220839i | ||||
\(201\) | −18.8825 | + | 6.27458i | −1.33187 | + | 0.442574i | ||||
\(202\) | −0.0538013 | − | 0.717929i | −0.00378545 | − | 0.0505133i | ||||
\(203\) | 24.0042 | + | 8.82606i | 1.68477 | + | 0.619468i | ||||
\(204\) | −1.50671 | − | 1.33860i | −0.105491 | − | 0.0937206i | ||||
\(205\) | 14.1730 | + | 2.13623i | 0.989885 | + | 0.149201i | ||||
\(206\) | −0.0763798 | − | 1.01922i | −0.00532163 | − | 0.0710122i | ||||
\(207\) | 23.6369 | + | 2.52370i | 1.64288 | + | 0.175409i | ||||
\(208\) | −3.21395 | − | 0.991373i | −0.222848 | − | 0.0687394i | ||||
\(209\) | 0.539581 | − | 0.0813287i | 0.0373236 | − | 0.00562562i | ||||
\(210\) | −6.42207 | + | 7.55181i | −0.443165 | + | 0.521124i | ||||
\(211\) | −25.4230 | − | 3.83190i | −1.75019 | − | 0.263799i | −0.805696 | − | 0.592329i | \(-0.798208\pi\) |
−0.944493 | + | 0.328531i | \(0.893446\pi\) | |||||||
\(212\) | 6.10783 | + | 2.94138i | 0.419488 | + | 0.202015i | ||||
\(213\) | −20.6677 | + | 14.7553i | −1.41612 | + | 1.01102i | ||||
\(214\) | 8.65154 | 0.591407 | ||||||||
\(215\) | 4.11067 | − | 7.11989i | 0.280346 | − | 0.485573i | ||||
\(216\) | −0.825533 | + | 5.13016i | −0.0561704 | + | 0.349063i | ||||
\(217\) | −8.36985 | + | 12.8663i | −0.568183 | + | 0.873422i | ||||
\(218\) | 3.05983 | + | 2.83911i | 0.207238 | + | 0.192289i | ||||
\(219\) | 10.9599 | + | 13.1498i | 0.740598 | + | 0.888580i | ||||
\(220\) | −0.568919 | − | 1.44958i | −0.0383565 | − | 0.0977307i | ||||
\(221\) | 1.42983 | + | 3.64315i | 0.0961809 | + | 0.245065i | ||||
\(222\) | 6.54000 | − | 1.13083i | 0.438936 | − | 0.0758961i | ||||
\(223\) | 6.20651 | + | 5.75880i | 0.415619 | + | 0.385638i | 0.860079 | − | 0.510161i | \(-0.170414\pi\) |
−0.444460 | + | 0.895799i | \(0.646605\pi\) | |||||||
\(224\) | 2.48321 | + | 0.913046i | 0.165917 | + | 0.0610055i | ||||
\(225\) | −0.816703 | − | 0.506548i | −0.0544468 | − | 0.0337698i | ||||
\(226\) | −8.73913 | + | 15.1366i | −0.581318 | + | 1.00687i | ||||
\(227\) | 4.49616 | 0.298421 | 0.149210 | − | 0.988805i | \(-0.452327\pi\) | ||||
0.149210 | + | 0.988805i | \(0.452327\pi\) | |||||||
\(228\) | 1.19497 | + | 0.543968i | 0.0791388 | + | 0.0360252i | ||||
\(229\) | 14.2304 | + | 6.85302i | 0.940375 | + | 0.452861i | 0.840301 | − | 0.542120i | \(-0.182378\pi\) |
0.100073 | + | 0.994980i | \(0.468092\pi\) | |||||||
\(230\) | −16.9496 | − | 2.55474i | −1.11762 | − | 0.168454i | ||||
\(231\) | −0.350094 | + | 3.28016i | −0.0230345 | + | 0.215819i | ||||
\(232\) | −9.55864 | + | 1.44073i | −0.627555 | + | 0.0945887i | ||||
\(233\) | 7.48024 | + | 2.30735i | 0.490047 | + | 0.151159i | 0.529924 | − | 0.848045i | \(-0.322220\pi\) |
−0.0398770 | + | 0.999205i | \(0.512697\pi\) | |||||||
\(234\) | 5.94427 | − | 8.15331i | 0.388589 | − | 0.532999i | ||||
\(235\) | 1.72723 | + | 23.0483i | 0.112672 | + | 1.50350i | ||||
\(236\) | 4.84366 | + | 0.730064i | 0.315295 | + | 0.0475231i | ||||
\(237\) | −1.91057 | + | 9.29225i | −0.124105 | + | 0.603597i | ||||
\(238\) | −0.970935 | − | 2.92153i | −0.0629364 | − | 0.189375i | ||||
\(239\) | 1.46794 | + | 19.5883i | 0.0949532 | + | 1.26706i | 0.817576 | + | 0.575820i | \(0.195317\pi\) |
−0.722623 | + | 0.691242i | \(0.757064\pi\) | |||||||
\(240\) | 0.754603 | − | 3.67009i | 0.0487094 | − | 0.236903i | ||||
\(241\) | −3.10180 | + | 13.5899i | −0.199804 | + | 0.875400i | 0.771248 | + | 0.636534i | \(0.219633\pi\) |
−0.971053 | + | 0.238865i | \(0.923225\pi\) | |||||||
\(242\) | 8.66048 | + | 5.90461i | 0.556717 | + | 0.379563i | ||||
\(243\) | −13.7519 | − | 7.34068i | −0.882184 | − | 0.470905i | ||||
\(244\) | 5.89347 | 0.377291 | ||||||||
\(245\) | −14.2632 | + | 5.08571i | −0.911242 | + | 0.324914i | ||||
\(246\) | 11.3822 | + | 1.46474i | 0.725703 | + | 0.0933882i | ||||
\(247\) | −1.58962 | − | 1.99333i | −0.101145 | − | 0.126832i | ||||
\(248\) | 0.433542 | − | 5.78521i | 0.0275299 | − | 0.367361i | ||||
\(249\) | −5.93253 | + | 16.1328i | −0.375959 | + | 1.02237i | ||||
\(250\) | 9.50938 | + | 6.48339i | 0.601426 | + | 0.410045i | ||||
\(251\) | −11.3607 | − | 5.47102i | −0.717080 | − | 0.345328i | 0.0395082 | − | 0.999219i | \(-0.487421\pi\) |
−0.756588 | + | 0.653892i | \(0.773135\pi\) | |||||||
\(252\) | −5.01006 | + | 6.15624i | −0.315604 | + | 0.387807i | ||||
\(253\) | −5.13907 | + | 2.47485i | −0.323090 | + | 0.155592i | ||||
\(254\) | −1.84818 | − | 0.278568i | −0.115965 | − | 0.0174789i | ||||
\(255\) | −3.88635 | + | 1.97616i | −0.243372 | + | 0.123752i | ||||
\(256\) | −0.988831 | + | 0.149042i | −0.0618019 | + | 0.00931514i | ||||
\(257\) | −4.19719 | − | 18.3891i | −0.261814 | − | 1.14708i | −0.919282 | − | 0.393598i | \(-0.871230\pi\) |
0.657469 | − | 0.753482i | \(-0.271627\pi\) | |||||||
\(258\) | 3.16731 | − | 5.77050i | 0.197188 | − | 0.359255i | ||||
\(259\) | 9.51543 | + | 3.49870i | 0.591260 | + | 0.217399i | ||||
\(260\) | −4.53641 | + | 5.68847i | −0.281336 | + | 0.352784i | ||||
\(261\) | 5.22510 | − | 28.5252i | 0.323426 | − | 1.76567i | ||||
\(262\) | 7.79649 | − | 7.23408i | 0.481669 | − | 0.446923i | ||||
\(263\) | −8.54567 | −0.526949 | −0.263474 | − | 0.964666i | \(-0.584868\pi\) | ||||
−0.263474 | + | 0.964666i | \(0.584868\pi\) | |||||||
\(264\) | −0.480497 | − | 1.15052i | −0.0295725 | − | 0.0708096i | ||||
\(265\) | 10.7503 | − | 9.97478i | 0.660383 | − | 0.612746i | ||||
\(266\) | 1.16540 | + | 1.63223i | 0.0714550 | + | 0.100079i | ||||
\(267\) | −5.95432 | + | 16.1921i | −0.364399 | + | 0.990938i | ||||
\(268\) | 10.9776 | − | 3.38614i | 0.670563 | − | 0.206841i | ||||
\(269\) | −16.4757 | − | 2.48331i | −1.00454 | − | 0.151410i | −0.373886 | − | 0.927475i | \(-0.621975\pi\) |
−0.630653 | + | 0.776065i | \(0.717213\pi\) | |||||||
\(270\) | 9.67822 | + | 5.71687i | 0.588998 | + | 0.347918i | ||||
\(271\) | −17.6425 | − | 16.3699i | −1.07171 | − | 0.994398i | −0.0717111 | − | 0.997425i | \(-0.522846\pi\) |
−0.999995 | + | 0.00302716i | \(0.999036\pi\) | |||||||
\(272\) | 0.852993 | + | 0.791462i | 0.0517203 | + | 0.0479894i | ||||
\(273\) | 14.0905 | − | 6.24635i | 0.852795 | − | 0.378046i | ||||
\(274\) | 12.1799 | − | 11.3013i | 0.735816 | − | 0.682738i | ||||
\(275\) | 0.230602 | 0.0139059 | ||||||||
\(276\) | −13.6121 | − | 1.75169i | −0.819350 | − | 0.105439i | ||||
\(277\) | −3.25677 | − | 14.2688i | −0.195680 | − | 0.857331i | −0.973472 | − | 0.228808i | \(-0.926517\pi\) |
0.777791 | − | 0.628523i | \(-0.216340\pi\) | |||||||
\(278\) | −2.66967 | + | 1.82015i | −0.160116 | + | 0.109165i | ||||
\(279\) | 15.9925 | + | 6.86667i | 0.957443 | + | 0.411097i | ||||
\(280\) | 3.80116 | − | 4.27888i | 0.227163 | − | 0.255712i | ||||
\(281\) | −12.8545 | + | 1.93751i | −0.766836 | + | 0.115582i | −0.520800 | − | 0.853679i | \(-0.674366\pi\) |
−0.246036 | + | 0.969261i | \(0.579128\pi\) | |||||||
\(282\) | 1.78150 | + | 18.4199i | 0.106087 | + | 1.09689i | ||||
\(283\) | 23.7559 | − | 3.58063i | 1.41214 | − | 0.212846i | 0.601727 | − | 0.798702i | \(-0.294480\pi\) |
0.810415 | + | 0.585856i | \(0.199241\pi\) | |||||||
\(284\) | 12.1138 | − | 8.25907i | 0.718823 | − | 0.490085i | ||||
\(285\) | 2.03981 | − | 1.97642i | 0.120828 | − | 0.117073i | ||||
\(286\) | −0.180932 | + | 2.41437i | −0.0106987 | + | 0.142765i | ||||
\(287\) | 13.9389 | + | 10.6304i | 0.822790 | + | 0.627495i | ||||
\(288\) | 0.540531 | − | 2.95090i | 0.0318511 | − | 0.173884i | ||||
\(289\) | −1.16923 | + | 15.6022i | −0.0687780 | + | 0.917779i | ||||
\(290\) | −4.65320 | + | 20.3870i | −0.273245 | + | 1.19717i | ||||
\(291\) | −25.8654 | + | 8.59493i | −1.51625 | + | 0.503844i | ||||
\(292\) | −6.16210 | − | 7.72703i | −0.360609 | − | 0.452190i | ||||
\(293\) | −0.889594 | − | 1.54082i | −0.0519706 | − | 0.0900158i | 0.838870 | − | 0.544332i | \(-0.183217\pi\) |
−0.890840 | + | 0.454316i | \(0.849884\pi\) | |||||||
\(294\) | −11.3294 | + | 4.31787i | −0.660746 | + | 0.251823i | ||||
\(295\) | 5.29820 | − | 9.17676i | 0.308473 | − | 0.534291i | ||||
\(296\) | −3.78910 | + | 0.571115i | −0.220237 | + | 0.0331954i | ||||
\(297\) | 3.73261 | − | 0.242398i | 0.216588 | − | 0.0140654i | ||||
\(298\) | 13.0699 | − | 4.03153i | 0.757118 | − | 0.233540i | ||||
\(299\) | 22.0197 | + | 15.0128i | 1.27343 | + | 0.868211i | ||||
\(300\) | 0.465092 | + | 0.302579i | 0.0268521 | + | 0.0174694i | ||||
\(301\) | 8.59704 | − | 5.21491i | 0.495525 | − | 0.300582i | ||||
\(302\) | −18.1375 | − | 12.3660i | −1.04370 | − | 0.711581i | ||||
\(303\) | −1.19924 | − | 0.341711i | −0.0688947 | − | 0.0196308i | ||||
\(304\) | −0.682967 | − | 0.328899i | −0.0391708 | − | 0.0188637i | ||||
\(305\) | 4.65775 | − | 11.8678i | 0.266702 | − | 0.679546i | ||||
\(306\) | −3.07675 | + | 1.64914i | −0.175886 | + | 0.0942753i | ||||
\(307\) | 10.3625 | + | 12.9942i | 0.591421 | + | 0.741618i | 0.984013 | − | 0.178094i | \(-0.0569932\pi\) |
−0.392593 | + | 0.919713i | \(0.628422\pi\) | |||||||
\(308\) | 0.243014 | − | 1.88899i | 0.0138470 | − | 0.107635i | ||||
\(309\) | −1.70252 | − | 0.485115i | −0.0968530 | − | 0.0275972i | ||||
\(310\) | −11.3071 | − | 5.44522i | −0.642201 | − | 0.309268i | ||||
\(311\) | 19.4695 | + | 6.00553i | 1.10401 | + | 0.340542i | 0.792606 | − | 0.609735i | \(-0.208724\pi\) |
0.311406 | + | 0.950277i | \(0.399200\pi\) | |||||||
\(312\) | −3.53287 | + | 4.63204i | −0.200009 | + | 0.262237i | ||||
\(313\) | −11.3794 | − | 19.7097i | −0.643202 | − | 1.11406i | −0.984714 | − | 0.174181i | \(-0.944272\pi\) |
0.341512 | − | 0.939877i | \(-0.389061\pi\) | |||||||
\(314\) | −0.521634 | − | 2.28543i | −0.0294375 | − | 0.128974i | ||||
\(315\) | 8.43733 | + | 14.9543i | 0.475389 | + | 0.842577i | ||||
\(316\) | 1.21877 | − | 5.33979i | 0.0685613 | − | 0.300387i | ||||
\(317\) | 3.45396 | − | 1.06541i | 0.193994 | − | 0.0598392i | −0.196236 | − | 0.980557i | \(-0.562872\pi\) |
0.390230 | + | 0.920718i | \(0.372396\pi\) | |||||||
\(318\) | 8.43277 | − | 8.17069i | 0.472887 | − | 0.458190i | ||||
\(319\) | 2.54224 | + | 6.47753i | 0.142338 | + | 0.362672i | ||||
\(320\) | −0.481369 | + | 2.10901i | −0.0269093 | + | 0.117897i | ||||
\(321\) | 5.17181 | − | 14.0641i | 0.288663 | − | 0.784983i | ||||
\(322\) | −16.6697 | − | 12.7130i | −0.928965 | − | 0.708469i | ||||
\(323\) | 0.196278 | + | 0.859950i | 0.0109212 | + | 0.0478489i | ||||
\(324\) | 7.84620 | + | 4.40877i | 0.435900 | + | 0.244931i | ||||
\(325\) | −0.538722 | − | 0.933094i | −0.0298829 | − | 0.0517588i | ||||
\(326\) | −2.50253 | − | 10.9643i | −0.138602 | − | 0.607256i | ||||
\(327\) | 6.44446 | − | 3.27694i | 0.356380 | − | 0.181215i | ||||
\(328\) | −6.55171 | − | 0.987511i | −0.361758 | − | 0.0545262i | ||||
\(329\) | −11.7107 | + | 25.7283i | −0.645633 | + | 1.41845i | ||||
\(330\) | −2.69656 | + | 0.0582994i | −0.148441 | + | 0.00320928i | ||||
\(331\) | −12.8283 | + | 11.9029i | −0.705105 | + | 0.654242i | −0.948897 | − | 0.315585i | \(-0.897799\pi\) |
0.243792 | + | 0.969828i | \(0.421609\pi\) | |||||||
\(332\) | 3.62567 | − | 9.23807i | 0.198985 | − | 0.507005i | ||||
\(333\) | 2.07126 | − | 11.3076i | 0.113504 | − | 0.619651i | ||||
\(334\) | −1.02218 | − | 2.60448i | −0.0559313 | − | 0.142511i | ||||
\(335\) | 1.85715 | − | 24.7819i | 0.101467 | − | 1.35398i | ||||
\(336\) | 2.96871 | − | 3.49095i | 0.161956 | − | 0.190447i | ||||
\(337\) | 0.0747020 | + | 0.996829i | 0.00406928 | + | 0.0543007i | 0.998869 | − | 0.0475520i | \(-0.0151420\pi\) |
−0.994799 | + | 0.101853i | \(0.967523\pi\) | |||||||
\(338\) | −1.52056 | + | 0.732261i | −0.0827073 | + | 0.0398297i | ||||
\(339\) | 19.3822 | + | 23.2550i | 1.05270 | + | 1.26304i | ||||
\(340\) | 2.26792 | − | 1.09217i | 0.122995 | − | 0.0592314i | ||||
\(341\) | −4.12955 | + | 0.622429i | −0.223627 | + | 0.0337064i | ||||
\(342\) | 1.59863 | − | 1.61739i | 0.0864440 | − | 0.0874584i | ||||
\(343\) | −18.2854 | − | 2.94029i | −0.987317 | − | 0.158761i | ||||
\(344\) | −1.90023 | + | 3.29129i | −0.102454 | + | 0.177455i | ||||
\(345\) | −14.2853 | + | 26.0264i | −0.769097 | + | 1.40121i | ||||
\(346\) | −0.233524 | + | 3.11616i | −0.0125543 | + | 0.167526i | ||||
\(347\) | −9.97371 | − | 9.25425i | −0.535417 | − | 0.496794i | 0.365485 | − | 0.930817i | \(-0.380903\pi\) |
−0.900902 | + | 0.434023i | \(0.857094\pi\) | |||||||
\(348\) | −3.37198 | + | 16.4000i | −0.180757 | + | 0.879131i | ||||
\(349\) | −11.7550 | + | 8.01443i | −0.629231 | + | 0.429003i | −0.835498 | − | 0.549493i | \(-0.814821\pi\) |
0.206267 | + | 0.978496i | \(0.433868\pi\) | |||||||
\(350\) | 0.384189 | + | 0.755480i | 0.0205358 | + | 0.0403821i | ||||
\(351\) | −9.70077 | − | 14.5371i | −0.517789 | − | 0.775933i | ||||
\(352\) | 0.262992 | + | 0.670094i | 0.0140175 | + | 0.0357161i | ||||
\(353\) | −7.65458 | − | 3.68625i | −0.407412 | − | 0.196199i | 0.218942 | − | 0.975738i | \(-0.429739\pi\) |
−0.626354 | + | 0.779538i | \(0.715454\pi\) | |||||||
\(354\) | 4.08231 | − | 7.43753i | 0.216972 | − | 0.395300i | ||||
\(355\) | −7.05754 | − | 30.9211i | −0.374575 | − | 1.64112i | ||||
\(356\) | 3.63899 | − | 9.27200i | 0.192866 | − | 0.491415i | ||||
\(357\) | −5.32972 | − | 0.168094i | −0.282079 | − | 0.00889649i | ||||
\(358\) | −0.555524 | − | 1.41545i | −0.0293604 | − | 0.0748090i | ||||
\(359\) | 11.5830 | − | 7.89717i | 0.611328 | − | 0.416797i | −0.217690 | − | 0.976018i | \(-0.569852\pi\) |
0.829018 | + | 0.559221i | \(0.188900\pi\) | |||||||
\(360\) | −5.51508 | − | 3.42064i | −0.290670 | − | 0.180284i | ||||
\(361\) | 9.21269 | + | 15.9568i | 0.484878 | + | 0.839834i | ||||
\(362\) | 3.97705 | + | 6.88845i | 0.209029 | + | 0.362049i | ||||
\(363\) | 14.7758 | − | 10.5489i | 0.775530 | − | 0.553675i | ||||
\(364\) | −8.21119 | + | 3.42965i | −0.430383 | + | 0.179762i | ||||
\(365\) | −20.4301 | + | 6.30184i | −1.06936 | + | 0.329853i | ||||
\(366\) | 3.52307 | − | 9.58056i | 0.184154 | − | 0.500784i | ||||
\(367\) | 14.0984 | − | 17.6789i | 0.735932 | − | 0.922829i | −0.263190 | − | 0.964744i | \(-0.584774\pi\) |
0.999121 | + | 0.0419152i | \(0.0133459\pi\) | |||||||
\(368\) | 7.83523 | + | 1.18097i | 0.408440 | + | 0.0615624i | ||||
\(369\) | 9.18530 | − | 17.6276i | 0.478167 | − | 0.917654i | ||||
\(370\) | −1.84456 | + | 8.08153i | −0.0958940 | + | 0.420139i | ||||
\(371\) | 17.3958 | − | 4.36884i | 0.903146 | − | 0.226819i | ||||
\(372\) | −9.14540 | − | 4.16313i | −0.474167 | − | 0.215848i | ||||
\(373\) | 4.82457 | 0.249807 | 0.124903 | − | 0.992169i | \(-0.460138\pi\) | ||||
0.124903 | + | 0.992169i | \(0.460138\pi\) | |||||||
\(374\) | 0.418818 | − | 0.725415i | 0.0216566 | − | 0.0375103i | ||||
\(375\) | 16.2242 | − | 11.5829i | 0.837812 | − | 0.598141i | ||||
\(376\) | −0.798441 | − | 10.6545i | −0.0411765 | − | 0.549462i | ||||
\(377\) | 20.2712 | − | 25.4193i | 1.04402 | − | 1.30916i | ||||
\(378\) | 7.01274 | + | 11.8246i | 0.360697 | + | 0.608192i | ||||
\(379\) | 8.46669 | + | 10.6169i | 0.434905 | + | 0.545353i | 0.950192 | − | 0.311664i | \(-0.100886\pi\) |
−0.515288 | + | 0.857017i | \(0.672315\pi\) | |||||||
\(380\) | −1.20207 | + | 1.11536i | −0.0616651 | + | 0.0572169i | ||||
\(381\) | −1.55767 | + | 2.83791i | −0.0798019 | + | 0.145391i | ||||
\(382\) | −20.1938 | + | 13.7679i | −1.03321 | + | 0.704428i | ||||
\(383\) | 8.98537 | − | 11.2673i | 0.459131 | − | 0.575732i | −0.497342 | − | 0.867555i | \(-0.665690\pi\) |
0.956472 | + | 0.291823i | \(0.0942618\pi\) | |||||||
\(384\) | −0.348828 | + | 1.69656i | −0.0178011 | + | 0.0865773i | ||||
\(385\) | −3.61182 | − | 1.98227i | −0.184076 | − | 0.101026i | ||||
\(386\) | 2.76190 | + | 1.33006i | 0.140577 | + | 0.0676984i | ||||
\(387\) | −7.48726 | − | 8.59839i | −0.380599 | − | 0.437081i | ||||
\(388\) | 15.0371 | − | 4.63834i | 0.763395 | − | 0.235476i | ||||
\(389\) | 0.416919 | − | 0.200778i | 0.0211387 | − | 0.0101798i | −0.423285 | − | 0.905997i | \(-0.639123\pi\) |
0.444423 | + | 0.895817i | \(0.353409\pi\) | |||||||
\(390\) | 6.53548 | + | 10.7750i | 0.330937 | + | 0.545613i | ||||
\(391\) | −4.61011 | − | 7.98494i | −0.233143 | − | 0.403816i | ||||
\(392\) | 6.59341 | − | 2.35096i | 0.333017 | − | 0.118741i | ||||
\(393\) | −7.09921 | − | 16.9986i | −0.358108 | − | 0.857467i | ||||
\(394\) | 4.72487 | − | 12.0388i | 0.238036 | − | 0.606505i | ||||
\(395\) | −9.78958 | − | 6.67442i | −0.492567 | − | 0.335827i | ||||
\(396\) | −2.15755 | + | 0.0933354i | −0.108421 | + | 0.00469028i | ||||
\(397\) | 0.968240 | − | 12.9203i | 0.0485946 | − | 0.648450i | −0.918726 | − | 0.394895i | \(-0.870781\pi\) |
0.967321 | − | 0.253555i | \(-0.0815999\pi\) | |||||||
\(398\) | −2.60509 | + | 1.77612i | −0.130581 | + | 0.0890289i | ||||
\(399\) | 3.35005 | − | 0.918759i | 0.167712 | − | 0.0459955i | ||||
\(400\) | −0.264682 | − | 0.180457i | −0.0132341 | − | 0.00902286i | ||||
\(401\) | −12.9391 | + | 16.2251i | −0.646149 | + | 0.810245i | −0.991757 | − | 0.128134i | \(-0.959101\pi\) |
0.345608 | + | 0.938379i | \(0.387673\pi\) | |||||||
\(402\) | 1.05773 | − | 19.8696i | 0.0527548 | − | 0.991007i | ||||
\(403\) | 12.1658 | + | 15.2554i | 0.606021 | + | 0.759927i | ||||
\(404\) | 0.687957 | + | 0.212207i | 0.0342271 | + | 0.0105577i | ||||
\(405\) | 15.0790 | − | 12.3156i | 0.749283 | − | 0.611969i | ||||
\(406\) | −16.9857 | + | 19.1204i | −0.842985 | + | 0.948929i | ||||
\(407\) | 1.00776 | + | 2.56773i | 0.0499529 | + | 0.127278i | ||||
\(408\) | 1.79653 | − | 0.913515i | 0.0889415 | − | 0.0452257i | ||||
\(409\) | −24.4971 | − | 7.55635i | −1.21130 | − | 0.373638i | −0.377662 | − | 0.925944i | \(-0.623272\pi\) |
−0.833641 | + | 0.552306i | \(0.813748\pi\) | |||||||
\(410\) | −7.16654 | + | 12.4128i | −0.353930 | + | 0.613025i | ||||
\(411\) | −11.0906 | − | 26.5558i | −0.547060 | − | 1.30990i | ||||
\(412\) | 0.976667 | + | 0.301262i | 0.0481169 | + | 0.0148421i | ||||
\(413\) | 11.0806 | − | 6.72144i | 0.545242 | − | 0.330741i | ||||
\(414\) | −10.9848 | + | 21.0809i | −0.539871 | + | 1.03607i | ||||
\(415\) | −15.7374 | − | 14.6021i | −0.772517 | − | 0.716791i | ||||
\(416\) | 2.09703 | − | 2.62959i | 0.102815 | − | 0.128926i | ||||
\(417\) | 1.36297 | + | 5.42794i | 0.0667449 | + | 0.265807i | ||||
\(418\) | −0.121424 | + | 0.531994i | −0.00593905 | + | 0.0260207i | ||||
\(419\) | 15.4866 | − | 4.77699i | 0.756571 | − | 0.233371i | 0.107610 | − | 0.994193i | \(-0.465680\pi\) |
0.648961 | + | 0.760822i | \(0.275204\pi\) | |||||||
\(420\) | −4.68353 | − | 8.73712i | −0.228533 | − | 0.426328i | ||||
\(421\) | −12.9986 | − | 4.00954i | −0.633514 | − | 0.195413i | −0.0386670 | − | 0.999252i | \(-0.512311\pi\) |
−0.594847 | + | 0.803839i | \(0.702787\pi\) | |||||||
\(422\) | 12.8551 | − | 22.2656i | 0.625775 | − | 1.08387i | ||||
\(423\) | 31.0087 | + | 8.11519i | 1.50769 | + | 0.394574i | ||||
\(424\) | −4.96949 | + | 4.61101i | −0.241340 | + | 0.223931i | ||||
\(425\) | 0.0278564 | + | 0.371718i | 0.00135124 | + | 0.0180310i | ||||
\(426\) | −6.18458 | − | 24.6297i | −0.299644 | − | 1.19331i | ||||
\(427\) | 11.9775 | − | 9.98356i | 0.579630 | − | 0.483138i | ||||
\(428\) | −3.16076 | + | 8.05349i | −0.152781 | + | 0.389280i | ||||
\(429\) | 3.81670 | + | 1.73742i | 0.184272 | + | 0.0838834i | ||||
\(430\) | 5.12593 | + | 6.42771i | 0.247194 | + | 0.309972i | ||||
\(431\) | −0.942653 | − | 12.5788i | −0.0454060 | − | 0.605901i | −0.972775 | − | 0.231752i | \(-0.925554\pi\) |
0.927369 | − | 0.374148i | \(-0.122065\pi\) | |||||||
\(432\) | −4.47393 | − | 2.64272i | −0.215252 | − | 0.127148i | ||||
\(433\) | 19.8137 | − | 9.54176i | 0.952184 | − | 0.458548i | 0.107733 | − | 0.994180i | \(-0.465641\pi\) |
0.844451 | + | 0.535632i | \(0.179927\pi\) | |||||||
\(434\) | −8.91906 | − | 12.4919i | −0.428129 | − | 0.599629i | ||||
\(435\) | 30.3599 | + | 19.7515i | 1.45565 | + | 0.947013i | ||||
\(436\) | −3.76074 | + | 1.81108i | −0.180107 | + | 0.0867348i | ||||
\(437\) | 4.40306 | + | 4.08544i | 0.210627 | + | 0.195433i | ||||
\(438\) | −16.2449 | + | 5.39809i | −0.776210 | + | 0.257931i | ||||
\(439\) | −2.96381 | + | 7.55167i | −0.141455 | + | 0.360421i | −0.983991 | − | 0.178219i | \(-0.942967\pi\) |
0.842536 | + | 0.538640i | \(0.181062\pi\) | |||||||
\(440\) | 1.55723 | 0.0742378 | ||||||||
\(441\) | 0.246591 | + | 20.9986i | 0.0117424 | + | 0.999931i | ||||
\(442\) | −3.91369 | −0.186155 | ||||||||
\(443\) | 6.31708 | − | 16.0957i | 0.300134 | − | 0.764728i | −0.698652 | − | 0.715462i | \(-0.746216\pi\) |
0.998786 | − | 0.0492665i | \(-0.0156884\pi\) | |||||||
\(444\) | −1.33668 | + | 6.50106i | −0.0634358 | + | 0.308526i | ||||
\(445\) | −15.7952 | − | 14.6558i | −0.748763 | − | 0.694751i | ||||
\(446\) | −7.62821 | + | 3.67355i | −0.361206 | + | 0.173948i | ||||
\(447\) | 1.25933 | − | 23.6567i | 0.0595642 | − | 1.11892i | ||||
\(448\) | −1.75715 | + | 1.97798i | −0.0830176 | + | 0.0934510i | ||||
\(449\) | 18.1417 | − | 8.73659i | 0.856161 | − | 0.412305i | 0.0463002 | − | 0.998928i | \(-0.485257\pi\) |
0.809861 | + | 0.586622i | \(0.199543\pi\) | |||||||
\(450\) | 0.769907 | − | 0.575184i | 0.0362938 | − | 0.0271145i | ||||
\(451\) | 0.356429 | + | 4.75621i | 0.0167836 | + | 0.223961i | ||||
\(452\) | −10.8975 | − | 13.6650i | −0.512576 | − | 0.642750i | ||||
\(453\) | −30.9448 | + | 22.0925i | −1.45392 | + | 1.03800i | ||||
\(454\) | −1.64263 | + | 4.18536i | −0.0770926 | + | 0.196429i | ||||
\(455\) | 0.416822 | + | 19.2455i | 0.0195409 | + | 0.902244i | ||||
\(456\) | −0.942937 | + | 0.913632i | −0.0441571 | + | 0.0427847i | ||||
\(457\) | −0.978176 | − | 13.0529i | −0.0457571 | − | 0.610587i | −0.972200 | − | 0.234151i | \(-0.924769\pi\) |
0.926443 | − | 0.376435i | \(-0.122850\pi\) | |||||||
\(458\) | −11.5783 | + | 10.7431i | −0.541017 | + | 0.501990i | ||||
\(459\) | 0.841626 | + | 5.98748i | 0.0392838 | + | 0.279472i | ||||
\(460\) | 8.57051 | − | 14.8446i | 0.399602 | − | 0.692131i | ||||
\(461\) | −36.0591 | − | 11.1228i | −1.67944 | − | 0.518038i | −0.699043 | − | 0.715079i | \(-0.746391\pi\) |
−0.980395 | + | 0.197041i | \(0.936867\pi\) | |||||||
\(462\) | −2.92551 | − | 1.52427i | −0.136107 | − | 0.0709155i | ||||
\(463\) | −39.7337 | + | 12.2562i | −1.84658 | + | 0.569595i | −0.847322 | + | 0.531079i | \(0.821787\pi\) |
−0.999258 | + | 0.0385152i | \(0.987737\pi\) | |||||||
\(464\) | 2.15102 | − | 9.42424i | 0.0998587 | − | 0.437509i | ||||
\(465\) | −15.6112 | + | 15.1260i | −0.723951 | + | 0.701451i | ||||
\(466\) | −4.88069 | + | 6.12019i | −0.226094 | + | 0.283512i | ||||
\(467\) | 9.27359 | + | 8.60463i | 0.429130 | + | 0.398175i | 0.864949 | − | 0.501860i | \(-0.167351\pi\) |
−0.435819 | + | 0.900035i | \(0.643541\pi\) | |||||||
\(468\) | 5.41802 | + | 8.51210i | 0.250448 | + | 0.393472i | ||||
\(469\) | 16.5739 | − | 25.4778i | 0.765314 | − | 1.17646i | ||||
\(470\) | −22.0861 | − | 6.81264i | −1.01875 | − | 0.314244i | ||||
\(471\) | −4.02707 | − | 0.518230i | −0.185558 | − | 0.0238788i | ||||
\(472\) | −2.44919 | + | 4.24211i | −0.112733 | + | 0.195259i | ||||
\(473\) | 2.61423 | + | 0.806385i | 0.120203 | + | 0.0370776i | ||||
\(474\) | −7.95190 | − | 5.17334i | −0.365243 | − | 0.237619i | ||||
\(475\) | −0.0887171 | − | 0.226047i | −0.00407062 | − | 0.0103718i | ||||
\(476\) | 3.07430 | + | 0.163538i | 0.140910 | + | 0.00749575i | ||||
\(477\) | −8.24142 | − | 18.5929i | −0.377349 | − | 0.851309i | ||||
\(478\) | −18.7706 | − | 5.78995i | −0.858545 | − | 0.264826i | ||||
\(479\) | 18.9882 | + | 23.8104i | 0.867591 | + | 1.08793i | 0.995370 | + | 0.0961225i | \(0.0306440\pi\) |
−0.127778 | + | 0.991803i | \(0.540785\pi\) | |||||||
\(480\) | 3.14070 | + | 2.04327i | 0.143353 | + | 0.0932622i | ||||
\(481\) | 8.03562 | − | 10.0763i | 0.366393 | − | 0.459442i | ||||
\(482\) | −11.5172 | − | 7.85231i | −0.524595 | − | 0.357663i | ||||
\(483\) | −30.6315 | + | 19.4989i | −1.39378 | + | 0.887229i | ||||
\(484\) | −8.66048 | + | 5.90461i | −0.393658 | + | 0.268392i | ||||
\(485\) | 2.54392 | − | 33.9463i | 0.115514 | − | 1.54142i | ||||
\(486\) | 11.8574 | − | 10.1194i | 0.537861 | − | 0.459026i | ||||
\(487\) | −15.0948 | − | 10.2915i | −0.684011 | − | 0.466351i | 0.170790 | − | 0.985307i | \(-0.445368\pi\) |
−0.854800 | + | 0.518957i | \(0.826320\pi\) | |||||||
\(488\) | −2.15313 | + | 5.48608i | −0.0974675 | + | 0.248343i | ||||
\(489\) | −19.3198 | − | 2.48620i | −0.873671 | − | 0.112430i | ||||
\(490\) | 0.476772 | − | 15.1352i | 0.0215384 | − | 0.683741i | ||||
\(491\) | 12.0188 | + | 20.8172i | 0.542401 | + | 0.939465i | 0.998766 | + | 0.0496727i | \(0.0158178\pi\) |
−0.456365 | + | 0.889793i | \(0.650849\pi\) | |||||||
\(492\) | −5.52187 | + | 10.0603i | −0.248945 | + | 0.453552i | ||||
\(493\) | −10.1343 | + | 4.88043i | −0.456427 | + | 0.219804i | ||||
\(494\) | 2.43629 | − | 0.751496i | 0.109614 | − | 0.0338114i | ||||
\(495\) | −1.51721 | + | 4.41844i | −0.0681935 | + | 0.198594i | ||||
\(496\) | 5.22691 | + | 2.51715i | 0.234695 | + | 0.113023i | ||||
\(497\) | 10.6284 | − | 37.3060i | 0.476748 | − | 1.67340i | ||||
\(498\) | −12.8502 | − | 11.4164i | −0.575831 | − | 0.511582i | ||||
\(499\) | −10.8049 | + | 13.5489i | −0.483694 | + | 0.606533i | −0.962465 | − | 0.271407i | \(-0.912511\pi\) |
0.478771 | + | 0.877940i | \(0.341083\pi\) | |||||||
\(500\) | −9.50938 | + | 6.48339i | −0.425273 | + | 0.289946i | ||||
\(501\) | −4.84494 | + | 0.104747i | −0.216456 | + | 0.00467976i | ||||
\(502\) | 9.24335 | − | 8.57657i | 0.412551 | − | 0.382791i | ||||
\(503\) | −1.64378 | − | 2.06124i | −0.0732927 | − | 0.0919062i | 0.743833 | − | 0.668365i | \(-0.233006\pi\) |
−0.817126 | + | 0.576459i | \(0.804434\pi\) | |||||||
\(504\) | −3.90030 | − | 6.91286i | −0.173733 | − | 0.307923i | ||||
\(505\) | 0.971032 | − | 1.21764i | 0.0432104 | − | 0.0541841i | ||||
\(506\) | −0.426256 | − | 5.68799i | −0.0189494 | − | 0.252862i | ||||
\(507\) | 0.281404 | + | 2.90959i | 0.0124976 | + | 0.129219i | ||||
\(508\) | 0.934526 | − | 1.61865i | 0.0414629 | − | 0.0718159i | ||||
\(509\) | 14.9612 | 0.663141 | 0.331571 | − | 0.943430i | \(-0.392421\pi\) | ||||
0.331571 | + | 0.943430i | \(0.392421\pi\) | |||||||
\(510\) | −0.419717 | − | 4.33967i | −0.0185854 | − | 0.192164i | ||||
\(511\) | −25.6130 | − | 5.26524i | −1.13305 | − | 0.232921i | ||||
\(512\) | 0.222521 | − | 0.974928i | 0.00983413 | − | 0.0430861i | ||||
\(513\) | −1.67362 | − | 3.56563i | −0.0738919 | − | 0.157426i | ||||
\(514\) | 18.6513 | + | 2.81124i | 0.822675 | + | 0.123998i | ||||
\(515\) | 1.37854 | − | 1.72863i | 0.0607457 | − | 0.0761727i | ||||
\(516\) | 4.21446 | + | 5.05656i | 0.185531 | + | 0.222603i | ||||
\(517\) | −7.34947 | + | 2.26701i | −0.323229 | + | 0.0997030i | ||||
\(518\) | −6.73323 | + | 7.57944i | −0.295841 | + | 0.333022i | ||||
\(519\) | 4.92610 | + | 2.24244i | 0.216232 | + | 0.0984321i | ||||
\(520\) | −3.63791 | − | 6.30105i | −0.159533 | − | 0.276319i | ||||
\(521\) | 5.88435 | + | 10.1920i | 0.257798 | + | 0.446519i | 0.965652 | − | 0.259840i | \(-0.0836697\pi\) |
−0.707854 | + | 0.706359i | \(0.750336\pi\) | |||||||
\(522\) | 24.6444 | + | 15.2853i | 1.07866 | + | 0.669021i | ||||
\(523\) | 34.7487 | − | 23.6913i | 1.51946 | − | 1.03595i | 0.538295 | − | 0.842756i | \(-0.319069\pi\) |
0.981161 | − | 0.193191i | \(-0.0618838\pi\) | |||||||
\(524\) | 3.88564 | + | 9.90045i | 0.169745 | + | 0.432503i | ||||
\(525\) | 1.45779 | − | 0.172927i | 0.0636231 | − | 0.00754715i | ||||
\(526\) | 3.12208 | − | 7.95494i | 0.136129 | − | 0.346852i | ||||
\(527\) | −1.50216 | − | 6.58141i | −0.0654353 | − | 0.286691i | ||||
\(528\) | 1.24653 | − | 0.0269499i | 0.0542484 | − | 0.00117284i | ||||
\(529\) | −35.8455 | − | 17.2623i | −1.55850 | − | 0.750535i | ||||
\(530\) | 5.35775 | + | 13.6513i | 0.232726 | + | 0.592976i | ||||
\(531\) | −9.65025 | − | 11.0824i | −0.418785 | − | 0.480934i | ||||
\(532\) | −1.94517 | + | 0.488516i | −0.0843337 | + | 0.0211798i | ||||
\(533\) | 18.4125 | − | 12.5535i | 0.797536 | − | 0.543751i | ||||
\(534\) | −12.8974 | − | 11.4584i | −0.558126 | − | 0.495851i | ||||
\(535\) | 13.7194 | + | 12.7297i | 0.593141 | + | 0.550354i | ||||
\(536\) | −0.858497 | + | 11.4559i | −0.0370814 | + | 0.494817i | ||||
\(537\) | −2.63308 | + | 0.0569268i | −0.113626 | + | 0.00245657i | ||||
\(538\) | 8.33088 | − | 14.4295i | 0.359170 | − | 0.622100i | ||||
\(539\) | −2.70607 | − | 4.25071i | −0.116559 | − | 0.183091i | ||||
\(540\) | −8.85754 | + | 6.92060i | −0.381168 | + | 0.297815i | ||||
\(541\) | −24.4532 | + | 3.68573i | −1.05133 | + | 0.158462i | −0.651901 | − | 0.758304i | \(-0.726028\pi\) |
−0.399425 | + | 0.916766i | \(0.630790\pi\) | |||||||
\(542\) | 21.6838 | − | 10.4424i | 0.931399 | − | 0.448538i | ||||
\(543\) | 13.5754 | − | 2.34732i | 0.582578 | − | 0.100733i | ||||
\(544\) | −1.04838 | + | 0.504876i | −0.0449491 | + | 0.0216464i | ||||
\(545\) | 0.674785 | + | 9.00439i | 0.0289046 | + | 0.385705i | ||||
\(546\) | 0.666729 | + | 15.3985i | 0.0285334 | + | 0.658995i | ||||
\(547\) | 0.345032 | − | 4.60413i | 0.0147525 | − | 0.196858i | −0.984958 | − | 0.172794i | \(-0.944720\pi\) |
0.999710 | − | 0.0240640i | \(-0.00766055\pi\) | |||||||
\(548\) | 6.07028 | + | 15.4668i | 0.259309 | + | 0.660709i | ||||
\(549\) | −13.4683 | − | 11.4543i | −0.574813 | − | 0.488860i | ||||
\(550\) | −0.0842485 | + | 0.214662i | −0.00359237 | + | 0.00915321i | ||||
\(551\) | 5.37153 | − | 4.98405i | 0.228835 | − | 0.212328i | ||||
\(552\) | 6.60365 | − | 12.0311i | 0.281070 | − | 0.512080i | ||||
\(553\) | −6.56867 | − | 12.9168i | −0.279328 | − | 0.549278i | ||||
\(554\) | 14.4723 | + | 2.18135i | 0.614869 | + | 0.0926766i | ||||
\(555\) | 12.0349 | + | 7.82962i | 0.510851 | + | 0.332349i | ||||
\(556\) | −0.718990 | − | 3.15010i | −0.0304920 | − | 0.133594i | ||||
\(557\) | 0.997821 | + | 1.72828i | 0.0422790 | + | 0.0732294i | 0.886391 | − | 0.462938i | \(-0.153205\pi\) |
−0.844112 | + | 0.536168i | \(0.819871\pi\) | |||||||
\(558\) | −12.2347 | + | 12.3783i | −0.517936 | + | 0.524014i | ||||
\(559\) | −2.84435 | − | 12.4619i | −0.120303 | − | 0.527082i | ||||
\(560\) | 2.59437 | + | 5.10165i | 0.109632 | + | 0.215584i | ||||
\(561\) | −0.928884 | − | 1.11449i | −0.0392175 | − | 0.0470537i | ||||
\(562\) | 2.89271 | − | 12.6738i | 0.122022 | − | 0.534611i | ||||
\(563\) | 11.2727 | + | 28.7225i | 0.475090 | + | 1.21051i | 0.944788 | + | 0.327682i | \(0.106267\pi\) |
−0.469699 | + | 0.882827i | \(0.655637\pi\) | |||||||
\(564\) | −17.7974 | − | 5.07118i | −0.749406 | − | 0.213535i | ||||
\(565\) | −36.1301 | + | 11.1446i | −1.52000 | + | 0.468859i | ||||
\(566\) | −5.34590 | + | 23.4219i | −0.224705 | + | 0.984496i | ||||
\(567\) | 23.4145 | − | 4.33141i | 0.983317 | − | 0.181902i | ||||
\(568\) | 3.26247 | + | 14.2938i | 0.136890 | + | 0.599755i | ||||
\(569\) | 13.9914 | + | 24.2339i | 0.586551 | + | 1.01594i | 0.994680 | + | 0.103012i | \(0.0328481\pi\) |
−0.408129 | + | 0.912924i | \(0.633819\pi\) | |||||||
\(570\) | 1.09457 | + | 2.62087i | 0.0458464 | + | 0.109776i | ||||
\(571\) | −19.8038 | − | 6.10868i | −0.828765 | − | 0.255640i | −0.148784 | − | 0.988870i | \(-0.547536\pi\) |
−0.679981 | + | 0.733230i | \(0.738012\pi\) | |||||||
\(572\) | −2.18137 | − | 1.05049i | −0.0912079 | − | 0.0439234i | ||||
\(573\) | 10.3097 | + | 41.0579i | 0.430695 | + | 1.71522i | ||||
\(574\) | −14.9881 | + | 9.09166i | −0.625590 | + | 0.379479i | ||||
\(575\) | 1.58263 | + | 1.98455i | 0.0660001 | + | 0.0827615i | ||||
\(576\) | 2.54944 | + | 1.58125i | 0.106227 | + | 0.0658855i | ||||
\(577\) | 9.19117 | − | 23.4187i | 0.382634 | − | 0.974934i | −0.601716 | − | 0.798710i | \(-0.705516\pi\) |
0.984350 | − | 0.176225i | \(-0.0563885\pi\) | |||||||
\(578\) | −14.0965 | − | 6.78854i | −0.586339 | − | 0.282366i | ||||
\(579\) | 3.81322 | − | 3.69471i | 0.158472 | − | 0.153547i | ||||
\(580\) | −17.2777 | − | 11.7797i | −0.717418 | − | 0.489127i | ||||
\(581\) | −8.28075 | − | 24.9167i | −0.343543 | − | 1.03372i | ||||
\(582\) | 1.44888 | − | 27.2175i | 0.0600580 | − | 1.12820i | ||||
\(583\) | 4.03207 | + | 2.74902i | 0.166991 | + | 0.113853i | ||||
\(584\) | 9.44415 | − | 2.91314i | 0.390802 | − | 0.120546i | ||||
\(585\) | 21.4229 | − | 4.18302i | 0.885729 | − | 0.172946i | ||||
\(586\) | 1.75932 | − | 0.265174i | 0.0726766 | − | 0.0109542i | ||||
\(587\) | −5.13597 | + | 8.89577i | −0.211984 | + | 0.367168i | −0.952335 | − | 0.305053i | \(-0.901326\pi\) |
0.740351 | + | 0.672220i | \(0.234659\pi\) | |||||||
\(588\) | 0.119712 | − | 12.1238i | 0.00493684 | − | 0.499976i | ||||
\(589\) | 2.19885 | + | 3.80852i | 0.0906019 | + | 0.156927i | ||||
\(590\) | 6.60675 | + | 8.28460i | 0.271996 | + | 0.341072i | ||||
\(591\) | −16.7460 | − | 14.8775i | −0.688839 | − | 0.611980i | ||||
\(592\) | 0.852678 | − | 3.73583i | 0.0350449 | − | 0.153542i | ||||
\(593\) | −0.813253 | + | 10.8521i | −0.0333963 | + | 0.445642i | 0.955293 | + | 0.295662i | \(0.0955402\pi\) |
−0.988689 | + | 0.149981i | \(0.952079\pi\) | |||||||
\(594\) | −1.13803 | + | 3.56315i | −0.0466941 | + | 0.146198i | ||||
\(595\) | 2.75901 | − | 6.06151i | 0.113109 | − | 0.248498i | ||||
\(596\) | −1.02212 | + | 13.6393i | −0.0418678 | + | 0.558687i | ||||
\(597\) | 1.33000 | + | 5.29664i | 0.0544333 | + | 0.216777i | ||||
\(598\) | −22.0197 | + | 15.0128i | −0.900452 | + | 0.613918i | ||||
\(599\) | 30.4234 | − | 4.58558i | 1.24306 | − | 0.187362i | 0.505612 | − | 0.862761i | \(-0.331267\pi\) |
0.737452 | + | 0.675399i | \(0.236029\pi\) | |||||||
\(600\) | −0.451580 | + | 0.322397i | −0.0184357 | + | 0.0131618i | ||||
\(601\) | 31.6773 | − | 4.77459i | 1.29215 | − | 0.194760i | 0.533242 | − | 0.845963i | \(-0.320974\pi\) |
0.758903 | + | 0.651203i | \(0.225735\pi\) | |||||||
\(602\) | 1.71357 | + | 9.90798i | 0.0698399 | + | 0.403819i | ||||
\(603\) | −31.6682 | − | 13.5974i | −1.28963 | − | 0.553727i | ||||
\(604\) | 18.1375 | − | 12.3660i | 0.738006 | − | 0.503164i | ||||
\(605\) | 5.04561 | + | 22.1063i | 0.205133 | + | 0.898748i | ||||
\(606\) | 0.756222 | − | 0.991502i | 0.0307194 | − | 0.0402770i | ||||
\(607\) | 3.76633 | 0.152870 | 0.0764352 | − | 0.997075i | \(-0.475646\pi\) | ||||
0.0764352 | + | 0.997075i | \(0.475646\pi\) | |||||||
\(608\) | 0.555679 | − | 0.515595i | 0.0225358 | − | 0.0209101i | ||||
\(609\) | 20.9286 | + | 39.0423i | 0.848071 | + | 1.58207i | ||||
\(610\) | 9.34572 | + | 8.67156i | 0.378397 | + | 0.351101i | ||||
\(611\) | 26.3425 | + | 24.4423i | 1.06571 | + | 0.988830i | ||||
\(612\) | −0.411080 | − | 3.46657i | −0.0166169 | − | 0.140128i | ||||
\(613\) | −0.622313 | − | 0.0937986i | −0.0251350 | − | 0.00378849i | 0.136463 | − | 0.990645i | \(-0.456427\pi\) |
−0.161598 | + | 0.986857i | \(0.551665\pi\) | |||||||
\(614\) | −15.8818 | + | 4.89889i | −0.640938 | + | 0.197703i | ||||
\(615\) | 15.8944 | + | 19.0704i | 0.640926 | + | 0.768991i | ||||
\(616\) | 1.66963 | + | 0.916340i | 0.0672712 | + | 0.0369204i | ||||
\(617\) | 17.6970 | − | 16.4204i | 0.712454 | − | 0.661061i | −0.238235 | − | 0.971208i | \(-0.576569\pi\) |
0.950689 | + | 0.310147i | \(0.100378\pi\) | |||||||
\(618\) | 1.07358 | − | 1.40760i | 0.0431858 | − | 0.0566220i | ||||
\(619\) | 41.4066 | 1.66427 | 0.832136 | − | 0.554572i | \(-0.187118\pi\) | ||||
0.832136 | + | 0.554572i | \(0.187118\pi\) | |||||||
\(620\) | 9.19977 | − | 8.53614i | 0.369472 | − | 0.342820i | ||||
\(621\) | 27.7030 | + | 30.4590i | 1.11168 | + | 1.22228i | ||||
\(622\) | −12.7034 | + | 15.9295i | −0.509359 | + | 0.638716i | ||||
\(623\) | −8.31117 | − | 25.0082i | −0.332980 | − | 1.00193i | ||||
\(624\) | −3.02114 | − | 4.98093i | −0.120942 | − | 0.199397i | ||||
\(625\) | 5.18377 | + | 22.7116i | 0.207351 | + | 0.908463i | ||||
\(626\) | 22.5046 | − | 3.39202i | 0.899465 | − | 0.135573i | ||||
\(627\) | 0.792235 | + | 0.515411i | 0.0316388 | + | 0.0205835i | ||||
\(628\) | 2.31802 | + | 0.349385i | 0.0924990 | + | 0.0139420i | ||||
\(629\) | −4.01731 | + | 1.93463i | −0.160181 | + | 0.0771389i | ||||
\(630\) | −17.0030 | + | 2.39068i | −0.677417 | + | 0.0952470i | ||||
\(631\) | 27.6101 | + | 13.2963i | 1.09914 | + | 0.529319i | 0.893389 | − | 0.449285i | \(-0.148321\pi\) |
0.205754 | + | 0.978604i | \(0.434035\pi\) | |||||||
\(632\) | 4.52540 | + | 3.08537i | 0.180011 | + | 0.122729i | ||||
\(633\) | −28.5108 | − | 34.2077i | −1.13320 | − | 1.35963i | ||||
\(634\) | −0.270116 | + | 3.60444i | −0.0107277 | + | 0.143151i | ||||
\(635\) | −2.52091 | − | 3.16112i | −0.100039 | − | 0.125445i | ||||
\(636\) | 4.52505 | + | 10.8349i | 0.179430 | + | 0.429633i | ||||
\(637\) | −10.8780 | + | 20.8799i | −0.431002 | + | 0.827294i | ||||
\(638\) | −6.95855 | −0.275492 | ||||||||
\(639\) | −43.7357 | − | 4.66964i | −1.73016 | − | 0.184728i | ||||
\(640\) | −1.78736 | − | 1.21860i | −0.0706517 | − | 0.0481695i | ||||
\(641\) | 8.32049 | − | 36.4544i | 0.328639 | − | 1.43986i | −0.493086 | − | 0.869980i | \(-0.664131\pi\) |
0.821726 | − | 0.569883i | \(-0.193012\pi\) | |||||||
\(642\) | 11.2024 | + | 9.95251i | 0.442125 | + | 0.392794i | ||||
\(643\) | −1.53849 | − | 20.5297i | −0.0606720 | − | 0.809612i | −0.941680 | − | 0.336510i | \(-0.890753\pi\) |
0.881008 | − | 0.473102i | \(-0.156866\pi\) | |||||||
\(644\) | 17.9243 | − | 10.8728i | 0.706317 | − | 0.428448i | ||||
\(645\) | 13.5133 | − | 4.49039i | 0.532084 | − | 0.176809i | ||||
\(646\) | −0.872213 | − | 0.131465i | −0.0343168 | − | 0.00517242i | ||||
\(647\) | −0.652279 | − | 8.70406i | −0.0256437 | − | 0.342192i | −0.995238 | − | 0.0974739i | \(-0.968924\pi\) |
0.969594 | − | 0.244718i | \(-0.0786953\pi\) | |||||||
\(648\) | −6.97054 | + | 5.69311i | −0.273829 | + | 0.223647i | ||||
\(649\) | 3.36946 | + | 1.03934i | 0.132263 | + | 0.0407977i | ||||
\(650\) | 1.06541 | − | 0.160585i | 0.0417888 | − | 0.00629865i | ||||
\(651\) | −25.6388 | + | 7.03149i | −1.00486 | + | 0.275586i | ||||
\(652\) | 11.1206 | + | 1.67617i | 0.435518 | + | 0.0656438i | ||||
\(653\) | −25.5984 | − | 12.3275i | −1.00174 | − | 0.482414i | −0.140214 | − | 0.990121i | \(-0.544779\pi\) |
−0.861530 | + | 0.507707i | \(0.830493\pi\) | |||||||
\(654\) | 0.695988 | + | 7.19618i | 0.0272153 | + | 0.281393i | ||||
\(655\) | 23.0076 | 0.898981 | ||||||||
\(656\) | 3.31286 | − | 5.73804i | 0.129345 | − | 0.224033i | ||||
\(657\) | −0.935791 | + | 29.6349i | −0.0365087 | + | 1.15617i | ||||
\(658\) | −19.6714 | − | 20.3008i | −0.766870 | − | 0.791407i | ||||
\(659\) | 10.1821 | + | 9.44763i | 0.396639 | + | 0.368027i | 0.853128 | − | 0.521702i | \(-0.174703\pi\) |
−0.456489 | + | 0.889729i | \(0.650893\pi\) | |||||||
\(660\) | 0.930896 | − | 2.53146i | 0.0362351 | − | 0.0985370i | ||||
\(661\) | 3.24386 | + | 8.26522i | 0.126172 | + | 0.321480i | 0.979977 | − | 0.199113i | \(-0.0638061\pi\) |
−0.853805 | + | 0.520593i | \(0.825711\pi\) | |||||||
\(662\) | −6.39340 | − | 16.2901i | −0.248486 | − | 0.633133i | ||||
\(663\) | −2.33957 | + | 6.36218i | −0.0908614 | + | 0.247087i | ||||
\(664\) | 7.27487 | + | 6.75009i | 0.282320 | + | 0.261954i | ||||
\(665\) | −0.553583 | + | 4.30310i | −0.0214670 | + | 0.166867i | ||||
\(666\) | 9.76920 | + | 6.05920i | 0.378549 | + | 0.234789i | ||||
\(667\) | −38.2978 | + | 66.3337i | −1.48290 | + | 2.56845i | ||||
\(668\) | 2.79788 | 0.108253 | ||||||||
\(669\) | 1.41173 | + | 14.5966i | 0.0545806 | + | 0.564337i | ||||
\(670\) | 22.3903 | + | 10.7826i | 0.865013 | + | 0.416568i | ||||
\(671\) | 4.19506 | + | 0.632303i | 0.161948 | + | 0.0244098i | ||||
\(672\) | 2.16504 | + | 4.03888i | 0.0835184 | + | 0.155803i | ||||
\(673\) | 28.6238 | − | 4.31435i | 1.10337 | − | 0.166306i | 0.427993 | − | 0.903782i | \(-0.359221\pi\) |
0.675373 | + | 0.737476i | \(0.263983\pi\) | |||||||
\(674\) | −0.955213 | − | 0.294644i | −0.0367934 | − | 0.0113493i | ||||
\(675\) | −0.474788 | − | 1.59542i | −0.0182746 | − | 0.0614076i | ||||
\(676\) | −0.126121 | − | 1.68297i | −0.00485081 | − | 0.0647296i | ||||
\(677\) | 20.7780 | + | 3.13178i | 0.798564 | + | 0.120364i | 0.535634 | − | 0.844451i | \(-0.320073\pi\) |
0.262931 | + | 0.964815i | \(0.415311\pi\) | |||||||
\(678\) | −28.7286 | + | 9.54638i | −1.10332 | + | 0.366627i | ||||
\(679\) | 22.7030 | − | 34.8996i | 0.871263 | − | 1.33932i | ||||
\(680\) | 0.188111 | + | 2.51016i | 0.00721371 | + | 0.0962603i | ||||
\(681\) | 5.82186 | + | 5.17227i | 0.223094 | + | 0.198202i | ||||
\(682\) | 0.929290 | − | 4.07148i | 0.0355843 | − | 0.155905i | ||||
\(683\) | −9.66219 | − | 6.58757i | −0.369714 | − | 0.252066i | 0.364183 | − | 0.931327i | \(-0.381348\pi\) |
−0.733897 | + | 0.679261i | \(0.762301\pi\) | |||||||
\(684\) | 0.921540 | + | 2.07902i | 0.0352360 | + | 0.0794933i | ||||
\(685\) | 35.9432 | 1.37332 | ||||||||
\(686\) | 9.41743 | − | 15.9472i | 0.359559 | − | 0.608865i | ||||
\(687\) | 10.5428 | + | 25.2440i | 0.402232 | + | 0.963118i | ||||
\(688\) | −2.36955 | − | 2.97132i | −0.0903381 | − | 0.113280i | ||||
\(689\) | 1.70392 | − | 22.7372i | 0.0649141 | − | 0.866218i | ||||
\(690\) | −19.0083 | − | 22.8064i | −0.723632 | − | 0.868223i | ||||
\(691\) | 20.4464 | + | 13.9401i | 0.777818 | + | 0.530307i | 0.885923 | − | 0.463832i | \(-0.153526\pi\) |
−0.108105 | + | 0.994139i | \(0.534478\pi\) | |||||||
\(692\) | −2.81544 | − | 1.35584i | −0.107027 | − | 0.0515415i | ||||
\(693\) | −4.22673 | + | 3.84458i | −0.160560 | + | 0.146043i | ||||
\(694\) | 12.2583 | − | 5.90331i | 0.465320 | − | 0.224087i | ||||
\(695\) | −6.91163 | − | 1.04176i | −0.262173 | − | 0.0395163i | ||||
\(696\) | −14.0344 | − | 9.13048i | −0.531972 | − | 0.346090i | ||||
\(697\) | −7.62370 | + | 1.14909i | −0.288768 | + | 0.0435248i | ||||
\(698\) | −3.16583 | − | 13.8704i | −0.119829 | − | 0.525003i | ||||
\(699\) | 7.03148 | + | 11.5928i | 0.265955 | + | 0.438478i | ||||
\(700\) | −0.843616 | + | 0.0816239i | −0.0318857 | + | 0.00308509i | ||||
\(701\) | −10.9039 | + | 13.6731i | −0.411835 | + | 0.516425i | −0.943879 | − | 0.330292i | \(-0.892853\pi\) |
0.532044 | + | 0.846717i | \(0.321424\pi\) | |||||||
\(702\) | 17.0763 | − | 3.71919i | 0.644503 | − | 0.140372i | ||||
\(703\) | 2.12931 | − | 1.97571i | 0.0803084 | − | 0.0745153i | ||||
\(704\) | −0.719855 | −0.0271305 | ||||||||
\(705\) | −24.2776 | + | 31.8310i | −0.914349 | + | 1.19883i | ||||
\(706\) | 6.22797 | − | 5.77871i | 0.234393 | − | 0.217485i | ||||
\(707\) | 1.75763 | − | 0.734127i | 0.0661026 | − | 0.0276097i | ||||
\(708\) | 5.43197 | + | 6.51735i | 0.204146 | + | 0.244937i | ||||
\(709\) | −42.7551 | + | 13.1882i | −1.60570 | + | 0.495293i | −0.962700 | − | 0.270573i | \(-0.912787\pi\) |
−0.643001 | + | 0.765866i | \(0.722311\pi\) | |||||||
\(710\) | 31.3621 | + | 4.72707i | 1.17700 | + | 0.177404i | ||||
\(711\) | −13.1635 | + | 9.83421i | −0.493669 | + | 0.368812i | ||||
\(712\) | 7.30159 | + | 6.77489i | 0.273639 | + | 0.253900i | ||||
\(713\) | −33.6977 | − | 31.2669i | −1.26199 | − | 1.17095i | ||||
\(714\) | 2.10364 | − | 4.89989i | 0.0787268 | − | 0.183374i | ||||
\(715\) | −3.83939 | + | 3.56243i | −0.143585 | + | 0.133227i | ||||
\(716\) | 1.52056 | 0.0568261 | ||||||||
\(717\) | −20.6331 | + | 27.0526i | −0.770559 | + | 1.01030i | ||||
\(718\) | 3.11951 | + | 13.6675i | 0.116419 | + | 0.510066i | ||||
\(719\) | −12.0105 | + | 8.18864i | −0.447917 | + | 0.305385i | −0.766190 | − | 0.642615i | \(-0.777850\pi\) |
0.318273 | + | 0.947999i | \(0.396897\pi\) | |||||||
\(720\) | 5.19907 | − | 3.88414i | 0.193758 | − | 0.144753i | ||||
\(721\) | 2.49525 | − | 1.04221i | 0.0929278 | − | 0.0388141i | ||||
\(722\) | −18.2196 | + | 2.74616i | −0.678063 | + | 0.102202i | ||||
\(723\) | −19.6498 | + | 14.0286i | −0.730784 | + | 0.521730i | ||||
\(724\) | −7.86525 | + | 1.18550i | −0.292310 | + | 0.0440586i | ||||
\(725\) | 2.55858 | − | 1.74441i | 0.0950232 | − | 0.0647857i | ||||
\(726\) | 4.42151 | + | 17.6084i | 0.164098 | + | 0.653508i | ||||
\(727\) | −0.397992 | + | 5.31084i | −0.0147607 | + | 0.196968i | 0.984948 | + | 0.172849i | \(0.0552972\pi\) |
−0.999709 | + | 0.0241193i | \(0.992322\pi\) | |||||||
\(728\) | −0.192683 | − | 8.89658i | −0.00714131 | − | 0.329729i | ||||
\(729\) | −9.36212 | − | 25.3249i | −0.346745 | − | 0.937959i | ||||
\(730\) | 1.59772 | − | 21.3201i | 0.0591344 | − | 0.789094i | ||||
\(731\) | −0.984052 | + | 4.31141i | −0.0363965 | + | 0.159463i | ||||
\(732\) | 7.63117 | + | 6.77970i | 0.282056 | + | 0.250585i | ||||
\(733\) | −22.3211 | − | 27.9898i | −0.824450 | − | 1.03383i | −0.998792 | − | 0.0491422i | \(-0.984351\pi\) |
0.174342 | − | 0.984685i | \(-0.444220\pi\) | |||||||
\(734\) | 11.3061 | + | 19.5827i | 0.417314 | + | 0.722809i | ||||
\(735\) | −24.3192 | − | 9.82277i | −0.897026 | − | 0.362318i | ||||
\(736\) | −3.96187 | + | 6.86215i | −0.146036 | + | 0.252942i | ||||
\(737\) | 8.17731 | − | 1.23253i | 0.301215 | − | 0.0454008i | ||||
\(738\) | 13.0533 | + | 14.9904i | 0.480498 | + | 0.551805i | ||||
\(739\) | −21.9870 | + | 6.78210i | −0.808805 | + | 0.249483i | −0.671461 | − | 0.741040i | \(-0.734333\pi\) |
−0.137344 | + | 0.990523i | \(0.543857\pi\) | |||||||
\(740\) | −6.84900 | − | 4.66957i | −0.251774 | − | 0.171657i | ||||
\(741\) | 0.234745 | − | 4.40972i | 0.00862358 | − | 0.161995i | ||||
\(742\) | −2.28857 | + | 17.7894i | −0.0840160 | + | 0.653070i | ||||
\(743\) | 26.2968 | + | 17.9288i | 0.964735 | + | 0.657745i | 0.939721 | − | 0.341942i | \(-0.111085\pi\) |
0.0250136 | + | 0.999687i | \(0.492037\pi\) | |||||||
\(744\) | 7.21653 | − | 6.99225i | 0.264571 | − | 0.256348i | ||||
\(745\) | 26.6578 | + | 12.8377i | 0.976667 | + | 0.470338i | ||||
\(746\) | −1.76261 | + | 4.49107i | −0.0645339 | + | 0.164430i | ||||
\(747\) | −26.2405 | + | 14.0649i | −0.960090 | + | 0.514609i | ||||
\(748\) | 0.522258 | + | 0.654891i | 0.0190956 | + | 0.0239452i | ||||
\(749\) | 7.21892 | + | 21.7217i | 0.263774 | + | 0.793692i | ||||
\(750\) | 4.85491 | + | 19.3344i | 0.177276 | + | 0.705991i | ||||
\(751\) | −19.8707 | − | 9.56923i | −0.725093 | − | 0.349186i | 0.0346594 | − | 0.999399i | \(-0.488965\pi\) |
−0.759752 | + | 0.650213i | \(0.774680\pi\) | |||||||
\(752\) | 10.2097 | + | 3.14926i | 0.372308 | + | 0.114842i | ||||
\(753\) | −8.41667 | − | 20.1532i | −0.306721 | − | 0.734423i | ||||
\(754\) | 16.2562 | + | 28.1566i | 0.592017 | + | 1.02540i | ||||
\(755\) | −10.5670 | − | 46.2969i | −0.384571 | − | 1.68492i | ||||
\(756\) | −13.5693 | + | 2.20796i | −0.493509 | + | 0.0803028i | ||||
\(757\) | −5.08917 | + | 22.2971i | −0.184969 | + | 0.810403i | 0.794249 | + | 0.607593i | \(0.207865\pi\) |
−0.979218 | + | 0.202810i | \(0.934992\pi\) | |||||||
\(758\) | −12.9762 | + | 4.00263i | −0.471317 | + | 0.145382i | ||||
\(759\) | −9.50133 | − | 2.70730i | −0.344876 | − | 0.0982687i | ||||
\(760\) | −0.599094 | − | 1.52647i | −0.0217314 | − | 0.0553708i | ||||
\(761\) | −7.77652 | + | 34.0712i | −0.281899 | + | 1.23508i | 0.613457 | + | 0.789728i | \(0.289778\pi\) |
−0.895356 | + | 0.445351i | \(0.853079\pi\) | |||||||
\(762\) | −2.07266 | − | 2.48680i | −0.0750844 | − | 0.0900872i | ||||
\(763\) | −4.57509 | + | 10.0514i | −0.165629 | + | 0.363885i | ||||
\(764\) | −5.43856 | − | 23.8279i | −0.196760 | − | 0.862063i | ||||
\(765\) | −7.30556 | − | 1.91192i | −0.264133 | − | 0.0691255i | ||||
\(766\) | 7.20571 | + | 12.4806i | 0.260353 | + | 0.450944i | ||||
\(767\) | −3.66605 | − | 16.0620i | −0.132373 | − | 0.579966i | ||||
\(768\) | −1.45184 | − | 0.944538i | −0.0523889 | − | 0.0340831i | ||||
\(769\) | 9.85879 | + | 1.48597i | 0.355517 | + | 0.0535856i | 0.324373 | − | 0.945929i | \(-0.394847\pi\) |
0.0311442 | + | 0.999515i | \(0.490085\pi\) | |||||||
\(770\) | 3.16479 | − | 2.63794i | 0.114051 | − | 0.0950649i | ||||
\(771\) | 15.7196 | − | 28.6395i | 0.566128 | − | 1.03143i | ||||
\(772\) | −2.24716 | + | 2.08506i | −0.0808769 | + | 0.0750428i | ||||
\(773\) | −11.0768 | + | 28.2232i | −0.398405 | + | 1.01512i | 0.581124 | + | 0.813815i | \(0.302613\pi\) |
−0.979529 | + | 0.201304i | \(0.935482\pi\) | |||||||
\(774\) | 10.7394 | − | 3.82835i | 0.386021 | − | 0.137607i | ||||
\(775\) | 0.678974 | + | 1.73000i | 0.0243895 | + | 0.0621433i | ||||
\(776\) | −1.17597 | + | 15.6923i | −0.0422149 | + | 0.563319i | ||||
\(777\) | 8.29624 | + | 15.4766i | 0.297626 | + | 0.555220i | ||||
\(778\) | 0.0345810 | + | 0.461452i | 0.00123979 | + | 0.0165438i | ||||
\(779\) | 4.52514 | − | 2.17919i | 0.162130 | − | 0.0780777i | ||||
\(780\) | −12.4178 | + | 2.14716i | −0.444630 | + | 0.0768806i | ||||
\(781\) | 9.50890 | − | 4.57925i | 0.340255 | − | 0.163858i | ||||
\(782\) | 9.11723 | − | 1.37420i | 0.326031 | − | 0.0491413i | ||||
\(783\) | 39.5804 | − | 30.9251i | 1.41449 | − | 1.10517i | ||||
\(784\) | −0.220396 | + | 6.99653i | −0.00787129 | + | 0.249876i | ||||
\(785\) | 2.53555 | − | 4.39170i | 0.0904976 | − | 0.156746i | ||||
\(786\) | 18.4172 | − | 0.398178i | 0.656920 | − | 0.0142025i | ||||
\(787\) | −2.86224 | + | 38.1940i | −0.102028 | + | 1.36147i | 0.677695 | + | 0.735343i | \(0.262979\pi\) |
−0.779723 | + | 0.626125i | \(0.784640\pi\) | |||||||
\(788\) | 9.48039 | + | 8.79652i | 0.337725 | + | 0.313363i | ||||
\(789\) | −11.0654 | − | 9.83072i | −0.393937 | − | 0.349983i | ||||
\(790\) | 9.78958 | − | 6.67442i | 0.348298 | − | 0.237465i | ||||
\(791\) | −45.2959 | − | 9.31145i | −1.61054 | − | 0.331077i | ||||
\(792\) | 0.701357 | − | 2.04250i | 0.0249216 | − | 0.0725772i | ||||
\(793\) | −7.24178 | − | 18.4518i | −0.257163 | − | 0.655241i | ||||
\(794\) | 11.6734 | + | 5.62161i | 0.414274 | + | 0.199504i | ||||
\(795\) | 25.3947 | − | 0.549031i | 0.900658 | − | 0.0194721i | ||||
\(796\) | −0.701598 | − | 3.07390i | −0.0248675 | − | 0.108951i | ||||
\(797\) | −15.0251 | + | 38.2833i | −0.532216 | + | 1.35606i | 0.371699 | + | 0.928353i | \(0.378775\pi\) |
−0.903915 | + | 0.427712i | \(0.859320\pi\) | |||||||
\(798\) | −0.368663 | + | 3.45414i | −0.0130505 | + | 0.122275i | ||||
\(799\) | −4.54210 | − | 11.5731i | −0.160688 | − | 0.409426i | ||||
\(800\) | 0.264682 | − | 0.180457i | 0.00935793 | − | 0.00638013i | ||||
\(801\) | −26.3369 | + | 14.1166i | −0.930569 | + | 0.498786i | ||||
\(802\) | −10.3764 | − | 17.9724i | −0.366402 | − | 0.634627i | ||||
\(803\) | −3.55725 | − | 6.16133i | −0.125533 | − | 0.217429i | ||||
\(804\) | 18.1097 | + | 8.24380i | 0.638679 | + | 0.290736i | ||||
\(805\) | −7.72863 | − | 44.6875i | −0.272398 | − | 1.57503i | ||||
\(806\) | −18.6455 | + | 5.75139i | −0.656761 | + | 0.202584i | ||||
\(807\) | −18.4768 | − | 22.1687i | −0.650414 | − | 0.780375i | ||||
\(808\) | −0.448876 | + | 0.562873i | −0.0157914 | + | 0.0198018i | ||||
\(809\) | −41.4623 | − | 6.24944i | −1.45774 | − | 0.219719i | −0.628149 | − | 0.778093i | \(-0.716187\pi\) |
−0.829589 | + | 0.558375i | \(0.811425\pi\) | |||||||
\(810\) | 5.95531 | + | 18.5361i | 0.209248 | + | 0.651291i | ||||
\(811\) | −9.04674 | + | 39.6364i | −0.317674 | + | 1.39182i | 0.523946 | + | 0.851751i | \(0.324459\pi\) |
−0.841620 | + | 0.540069i | \(0.818398\pi\) | |||||||
\(812\) | −11.5931 | − | 22.7970i | −0.406838 | − | 0.800017i | ||||
\(813\) | −4.01295 | − | 41.4920i | −0.140740 | − | 1.45519i | ||||
\(814\) | −2.75841 | −0.0966823 | ||||||||
\(815\) | 12.1642 | − | 21.0691i | 0.426095 | − | 0.738018i | ||||
\(816\) | 0.194021 | + | 2.00609i | 0.00679210 | + | 0.0702271i | ||||
\(817\) | −0.215289 | − | 2.87283i | −0.00753200 | − | 0.100508i | ||||
\(818\) | 15.9838 | − | 20.0431i | 0.558860 | − | 0.700789i | ||||
\(819\) | 25.4307 | + | 8.12124i | 0.888621 | + | 0.283779i | ||||
\(820\) | −8.93653 | − | 11.2061i | −0.312077 | − | 0.391332i | ||||
\(821\) | 40.5250 | − | 37.6017i | 1.41433 | − | 1.31231i | 0.528013 | − | 0.849237i | \(-0.322937\pi\) |
0.886320 | − | 0.463073i | \(-0.153253\pi\) | |||||||
\(822\) | 28.7719 | − | 0.622046i | 1.00354 | − | 0.0216963i | ||||
\(823\) | −36.6177 | + | 24.9655i | −1.27641 | + | 0.870244i | −0.995975 | − | 0.0896284i | \(-0.971432\pi\) |
−0.280438 | + | 0.959872i | \(0.590480\pi\) | |||||||
\(824\) | −0.637253 | + | 0.799091i | −0.0221998 | + | 0.0278376i | ||||
\(825\) | 0.298596 | + | 0.265279i | 0.0103958 | + | 0.00923584i | ||||
\(826\) | 2.20860 | + | 12.7703i | 0.0768471 | + | 0.444335i | ||||
\(827\) | −9.81119 | − | 4.72482i | −0.341168 | − | 0.164298i | 0.255452 | − | 0.966822i | \(-0.417776\pi\) |
−0.596620 | + | 0.802524i | \(0.703490\pi\) | |||||||
\(828\) | −15.6105 | − | 17.9271i | −0.542502 | − | 0.623011i | ||||
\(829\) | 38.6745 | − | 11.9295i | 1.34322 | − | 0.414329i | 0.461936 | − | 0.886913i | \(-0.347155\pi\) |
0.881286 | + | 0.472584i | \(0.156679\pi\) | |||||||
\(830\) | 19.3422 | − | 9.31474i | 0.671379 | − | 0.323319i | ||||
\(831\) | 12.1975 | − | 22.2225i | 0.423125 | − | 0.770890i | ||||
\(832\) | 1.68169 | + | 2.91277i | 0.0583021 | + | 0.100982i | ||||
\(833\) | 6.52502 | − | 4.87551i | 0.226079 | − | 0.168926i | ||||
\(834\) | −5.55068 | − | 0.714297i | −0.192204 | − | 0.0247341i | ||||
\(835\) | 2.21124 | − | 5.63414i | 0.0765229 | − | 0.194977i | ||||
\(836\) | −0.450858 | − | 0.307390i | −0.0155933 | − | 0.0106313i | ||||
\(837\) | 12.8086 | + | 27.2886i | 0.442730 | + | 0.943233i | ||||
\(838\) | −1.21112 | + | 16.1613i | −0.0418376 | + | 0.558284i | ||||
\(839\) | −8.98640 | + | 6.12683i | −0.310245 | + | 0.211522i | −0.708425 | − | 0.705786i | \(-0.750594\pi\) |
0.398180 | + | 0.917307i | \(0.369642\pi\) | |||||||
\(840\) | 9.84424 | − | 1.16775i | 0.339659 | − | 0.0402913i | ||||
\(841\) | 53.2455 | + | 36.3022i | 1.83605 | + | 1.25180i | ||||
\(842\) | 8.48131 | − | 10.6352i | 0.292285 | − | 0.366514i | ||||
\(843\) | −18.8735 | − | 12.2787i | −0.650039 | − | 0.422902i | ||||
\(844\) | 16.0300 | + | 20.1010i | 0.551775 | + | 0.691904i | ||||
\(845\) | −3.48870 | − | 1.07612i | −0.120015 | − | 0.0370197i | ||||
\(846\) | −18.8830 | + | 25.9004i | −0.649210 | + | 0.890473i | ||||
\(847\) | −7.59850 | + | 26.6710i | −0.261088 | + | 0.916426i | ||||
\(848\) | −2.47671 | − | 6.31056i | −0.0850507 | − | 0.216706i | ||||
\(849\) | 34.8794 | + | 22.6918i | 1.19706 | + | 0.778781i | ||||
\(850\) | −0.356200 | − | 0.109873i | −0.0122176 | − | 0.00376862i | ||||
\(851\) | −15.1815 | + | 26.2951i | −0.520415 | + | 0.901385i | ||||
\(852\) | 25.1866 | + | 3.24118i | 0.862879 | + | 0.111041i | ||||
\(853\) | −40.6372 | − | 12.5349i | −1.39139 | − | 0.429188i | −0.493632 | − | 0.869671i | \(-0.664331\pi\) |
−0.897761 | + | 0.440483i | \(0.854807\pi\) | |||||||
\(854\) | 4.91757 | + | 14.7969i | 0.168276 | + | 0.506340i | ||||
\(855\) | 4.91487 | − | 0.212617i | 0.168085 | − | 0.00727135i | ||||
\(856\) | −6.34203 | − | 5.88454i | −0.216766 | − | 0.201129i | ||||
\(857\) | 22.7010 | − | 28.4661i | 0.775451 | − | 0.972385i | −0.224547 | − | 0.974463i | \(-0.572090\pi\) |
0.999998 | + | 0.00207830i | \(0.000661544\pi\) | |||||||
\(858\) | −3.01171 | + | 2.91811i | −0.102818 | + | 0.0996227i | ||||
\(859\) | 4.80717 | − | 21.0616i | 0.164018 | − | 0.718612i | −0.824293 | − | 0.566163i | \(-0.808427\pi\) |
0.988311 | − | 0.152448i | \(-0.0487158\pi\) | |||||||
\(860\) | −7.85609 | + | 2.42328i | −0.267891 | + | 0.0826333i | ||||
\(861\) | 5.81987 | + | 29.7998i | 0.198341 | + | 1.01558i | ||||
\(862\) | 12.0537 | + | 3.71807i | 0.410550 | + | 0.126638i | ||||
\(863\) | 15.1549 | − | 26.2490i | 0.515879 | − | 0.893528i | −0.483952 | − | 0.875095i | \(-0.660799\pi\) |
0.999830 | − | 0.0184330i | \(-0.00586774\pi\) | |||||||
\(864\) | 4.09455 | − | 3.19917i | 0.139299 | − | 0.108838i | ||||
\(865\) | −4.95539 | + | 4.59793i | −0.168488 | + | 0.156334i | ||||
\(866\) | 1.64343 | + | 21.9300i | 0.0558459 | + | 0.745212i | ||||
\(867\) | −19.4624 | + | 18.8575i | −0.660978 | + | 0.640435i | ||||
\(868\) | 14.8869 | − | 3.73873i | 0.505293 | − | 0.126901i | ||||
\(869\) | 1.44044 | − | 3.67018i | 0.0488635 | − | 0.124502i | ||||
\(870\) | −29.4779 | + | 21.0452i | −0.999394 | + | 0.713499i | ||||
\(871\) | −24.0906 | − | 30.2087i | −0.816281 | − | 1.02358i | ||||
\(872\) | −0.311931 | − | 4.16243i | −0.0105633 | − | 0.140958i | ||||
\(873\) | −43.3792 | − | 18.6257i | −1.46816 | − | 0.630384i | ||||
\(874\) | −5.41165 | + | 2.60611i | −0.183052 | + | 0.0881530i | ||||
\(875\) | −8.34331 | + | 29.2853i | −0.282055 | + | 0.990023i | ||||
\(876\) | 0.909977 | − | 17.0941i | 0.0307453 | − | 0.577555i | ||||
\(877\) | −28.6958 | + | 13.8192i | −0.968989 | + | 0.466641i | −0.850304 | − | 0.526291i | \(-0.823582\pi\) |
−0.118685 | + | 0.992932i | \(0.537868\pi\) | |||||||
\(878\) | −5.94685 | − | 5.51787i | −0.200696 | − | 0.186219i | ||||
\(879\) | 0.620631 | − | 3.01850i | 0.0209334 | − | 0.101811i | ||||
\(880\) | −0.568919 | + | 1.44958i | −0.0191782 | + | 0.0488654i | ||||
\(881\) | 25.4576 | 0.857690 | 0.428845 | − | 0.903378i | \(-0.358921\pi\) | ||||
0.428845 | + | 0.903378i | \(0.358921\pi\) | |||||||
\(882\) | −19.6371 | − | 7.44209i | −0.661215 | − | 0.250588i | ||||
\(883\) | 48.4105 | 1.62914 | 0.814571 | − | 0.580064i | \(-0.196973\pi\) | ||||
0.814571 | + | 0.580064i | \(0.196973\pi\) | |||||||
\(884\) | 1.42983 | − | 3.64315i | 0.0480905 | − | 0.122532i | ||||
\(885\) | 17.4171 | − | 5.78761i | 0.585469 | − | 0.194548i | ||||
\(886\) | 12.6751 | + | 11.7608i | 0.425830 | + | 0.395112i | ||||
\(887\) | −27.6729 | + | 13.3266i | −0.929165 | + | 0.447462i | −0.836334 | − | 0.548220i | \(-0.815306\pi\) |
−0.0928304 | + | 0.995682i | \(0.529591\pi\) | |||||||
\(888\) | −5.56332 | − | 3.61938i | −0.186693 | − | 0.121458i | ||||
\(889\) | −0.842728 | − | 4.87271i | −0.0282642 | − | 0.163425i | ||||
\(890\) | 19.4133 | − | 9.34896i | 0.650736 | − | 0.313378i | ||||
\(891\) | 5.11202 | + | 3.98003i | 0.171259 | + | 0.133336i | ||||
\(892\) | −0.632715 | − | 8.44300i | −0.0211849 | − | 0.282693i | ||||
\(893\) | 5.04971 | + | 6.33214i | 0.168982 | + | 0.211897i | ||||
\(894\) | 21.5613 | + | 9.81504i | 0.721118 | + | 0.328264i | ||||
\(895\) | 1.20174 | − | 3.06198i | 0.0401697 | − | 0.102351i | ||||
\(896\) | −1.19929 | − | 2.35832i | −0.0400656 | − | 0.0787861i | ||||
\(897\) | 11.2419 | + | 44.7702i | 0.375356 | + | 1.49483i | ||||
\(898\) | 1.50475 | + | 20.0795i | 0.0502142 | + | 0.670061i | ||||
\(899\) | −41.1097 | + | 38.1442i | −1.37108 | + | 1.27218i | ||||
\(900\) | 0.254145 | + | 0.926825i | 0.00847152 | + | 0.0308942i | ||||
\(901\) | −3.94419 | + | 6.83154i | −0.131400 | + | 0.227592i | ||||
\(902\) | −4.55765 | − | 1.40585i | −0.151753 | − | 0.0468097i | ||||
\(903\) | 17.1310 | + | 3.13729i | 0.570084 | + | 0.104402i | ||||
\(904\) | 16.7017 | − | 5.15180i | 0.555492 | − | 0.171346i | ||||
\(905\) | −3.82885 | + | 16.7753i | −0.127275 | + | 0.557629i | ||||
\(906\) | −9.25991 | − | 36.8770i | −0.307640 | − | 1.22516i | ||||
\(907\) | 35.4149 | − | 44.4089i | 1.17593 | − | 1.47457i | 0.327832 | − | 0.944736i | \(-0.393682\pi\) |
0.848100 | − | 0.529836i | \(-0.177747\pi\) | |||||||
\(908\) | −3.29592 | − | 3.05817i | −0.109379 | − | 0.101489i | ||||
\(909\) | −1.15974 | − | 1.82204i | −0.0384663 | − | 0.0604333i | ||||
\(910\) | −18.0674 | − | 6.64317i | −0.598930 | − | 0.220219i | ||||
\(911\) | −23.0001 | − | 7.09460i | −0.762028 | − | 0.235054i | −0.110703 | − | 0.993854i | \(-0.535310\pi\) |
−0.651325 | + | 0.758799i | \(0.725786\pi\) | |||||||
\(912\) | −0.505982 | − | 1.21154i | −0.0167547 | − | 0.0401182i | ||||
\(913\) | 3.57195 | − | 6.18680i | 0.118214 | − | 0.204753i | ||||
\(914\) | 12.5079 | + | 3.85818i | 0.413725 | + | 0.127617i | ||||
\(915\) | 19.6835 | − | 10.0088i | 0.650715 | − | 0.330881i | ||||
\(916\) | −5.77042 | − | 14.7028i | −0.190660 | − | 0.485794i | ||||
\(917\) | 24.6683 | + | 13.5387i | 0.814619 | + | 0.447087i | ||||
\(918\) | −5.88107 | − | 1.40402i | −0.194104 | − | 0.0463397i | ||||
\(919\) | 24.7451 | + | 7.63285i | 0.816265 | + | 0.251784i | 0.674650 | − | 0.738137i | \(-0.264294\pi\) |
0.141615 | + | 0.989922i | \(0.454771\pi\) | |||||||
\(920\) | 10.6873 | + | 13.4014i | 0.352348 | + | 0.441831i | ||||
\(921\) | −1.53027 | + | 28.7463i | −0.0504241 | + | 0.947224i | ||||
\(922\) | 23.5277 | − | 29.5028i | 0.774845 | − | 0.971625i | ||||
\(923\) | −40.7434 | − | 27.7784i | −1.34108 | − | 0.914336i | ||||
\(924\) | 2.48771 | − | 2.16640i | 0.0818397 | − | 0.0712694i | ||||
\(925\) | 1.01424 | − | 0.691495i | 0.0333479 | − | 0.0227362i | ||||
\(926\) | 3.10735 | − | 41.4647i | 0.102114 | − | 1.36262i | ||||
\(927\) | −1.64645 | − | 2.58669i | −0.0540764 | − | 0.0849580i | ||||
\(928\) | 7.98692 | + | 5.44539i | 0.262184 | + | 0.178754i | ||||
\(929\) | −7.91559 | + | 20.1686i | −0.259702 | + | 0.661710i | −0.999943 | − | 0.0106310i | \(-0.996616\pi\) |
0.740241 | + | 0.672341i | \(0.234711\pi\) | |||||||
\(930\) | −8.37699 | − | 20.0582i | −0.274692 | − | 0.657734i | ||||
\(931\) | −3.12567 | + | 4.28794i | −0.102440 | + | 0.140532i | ||||
\(932\) | −3.91401 | − | 6.77926i | −0.128208 | − | 0.222062i | ||||
\(933\) | 18.3014 | + | 30.1734i | 0.599162 | + | 0.987834i | ||||
\(934\) | −11.3978 | + | 5.48891i | −0.372949 | + | 0.179603i | ||||
\(935\) | 1.73152 | − | 0.534102i | 0.0566266 | − | 0.0174670i | ||||
\(936\) | −9.90312 | + | 1.93367i | −0.323693 | + | 0.0632040i | ||||
\(937\) | 5.93882 | + | 2.85998i | 0.194013 | + | 0.0934316i | 0.528368 | − | 0.849016i | \(-0.322804\pi\) |
−0.334355 | + | 0.942447i | \(0.608518\pi\) | |||||||
\(938\) | 17.6615 | + | 24.7363i | 0.576668 | + | 0.807670i | ||||
\(939\) | 7.93891 | − | 38.6117i | 0.259077 | − | 1.26004i | ||||
\(940\) | 14.4107 | − | 18.0704i | 0.470024 | − | 0.589391i | ||||
\(941\) | −9.93433 | + | 6.77311i | −0.323850 | + | 0.220797i | −0.714321 | − | 0.699818i | \(-0.753264\pi\) |
0.390471 | + | 0.920615i | \(0.372312\pi\) | |||||||
\(942\) | 1.95366 | − | 3.55936i | 0.0636537 | − | 0.115970i | ||||
\(943\) | −38.4855 | + | 35.7093i | −1.25326 | + | 1.16286i | ||||
\(944\) | −3.05408 | − | 3.82970i | −0.0994020 | − | 0.124646i | ||||
\(945\) | −6.27792 | + | 29.0696i | −0.204221 | + | 0.945635i | ||||
\(946\) | −1.70573 | + | 2.13892i | −0.0554581 | + | 0.0695422i | ||||
\(947\) | −3.43002 | − | 45.7705i | −0.111461 | − | 1.48734i | −0.720087 | − | 0.693884i | \(-0.755898\pi\) |
0.608626 | − | 0.793457i | \(-0.291721\pi\) | |||||||
\(948\) | 7.72088 | − | 5.51218i | 0.250763 | − | 0.179027i | ||||
\(949\) | −16.6205 | + | 28.7876i | −0.539525 | + | 0.934485i | ||||
\(950\) | 0.242834 | 0.00787856 | ||||||||
\(951\) | 5.69799 | + | 2.59381i | 0.184770 | + | 0.0841100i | ||||
\(952\) | −1.27540 | + | 2.80204i | −0.0413360 | + | 0.0908146i | ||||
\(953\) | −12.6884 | + | 55.5916i | −0.411018 | + | 1.80079i | 0.168355 | + | 0.985726i | \(0.446154\pi\) |
−0.579373 | + | 0.815062i | \(0.696703\pi\) | |||||||
\(954\) | 20.3185 | − | 0.878980i | 0.657837 | − | 0.0284580i | ||||
\(955\) | −52.2808 | − | 7.88006i | −1.69177 | − | 0.254993i | ||||
\(956\) | 12.2474 | − | 15.3577i | 0.396108 | − | 0.496704i | ||||
\(957\) | −4.15976 | + | 11.3120i | −0.134466 | + | 0.365664i | ||||
\(958\) | −29.1016 | + | 8.97667i | −0.940231 | + | 0.290023i | ||||
\(959\) | 38.5376 | + | 21.1506i | 1.24444 | + | 0.682987i | ||||
\(960\) | −3.04946 | + | 2.17710i | −0.0984208 | + | 0.0702657i | ||||
\(961\) | −1.32832 | − | 2.30072i | −0.0428492 | − | 0.0742169i | ||||
\(962\) | 6.44407 | + | 11.1615i | 0.207765 | + | 0.359860i | ||||
\(963\) | 22.8757 | − | 12.2614i | 0.737160 | − | 0.395119i | ||||
\(964\) | 11.5172 | − | 7.85231i | 0.370945 | − | 0.252906i | ||||
\(965\) | 2.42272 | + | 6.17300i | 0.0779902 | + | 0.198716i | ||||
\(966\) | −6.96002 | − | 35.6378i | −0.223935 | − | 1.14663i | ||||
\(967\) | 6.40261 | − | 16.3136i | 0.205894 | − | 0.524609i | −0.790206 | − | 0.612841i | \(-0.790026\pi\) |
0.996100 | + | 0.0882320i | \(0.0281217\pi\) | |||||||
\(968\) | −2.33242 | − | 10.2190i | −0.0749669 | − | 0.328451i | ||||
\(969\) | −0.735114 | + | 1.33930i | −0.0236153 | + | 0.0430245i | ||||
\(970\) | 30.6703 | + | 14.7700i | 0.984764 | + | 0.474237i | ||||
\(971\) | −9.89735 | − | 25.2180i | −0.317621 | − | 0.809285i | −0.997136 | − | 0.0756238i | \(-0.975905\pi\) |
0.679515 | − | 0.733661i | \(-0.262190\pi\) | |||||||
\(972\) | 5.08792 | + | 14.7348i | 0.163195 | + | 0.472618i | ||||
\(973\) | −6.79750 | − | 5.18407i | −0.217918 | − | 0.166194i | ||||
\(974\) | 15.0948 | − | 10.2915i | 0.483669 | − | 0.329760i | ||||
\(975\) | 0.375843 | − | 1.82795i | 0.0120366 | − | 0.0585413i | ||||
\(976\) | −4.32022 | − | 4.00858i | −0.138287 | − | 0.128312i | ||||
\(977\) | 2.21728 | − | 29.5875i | 0.0709369 | − | 0.946587i | −0.842261 | − | 0.539070i | \(-0.818776\pi\) |
0.913198 | − | 0.407517i | \(-0.133605\pi\) | |||||||
\(978\) | 9.37264 | − | 17.0760i | 0.299704 | − | 0.546029i | ||||
\(979\) | 3.58507 | − | 6.20952i | 0.114579 | − | 0.198457i | ||||
\(980\) | 13.9148 | + | 5.97334i | 0.444493 | + | 0.190811i | ||||
\(981\) | 12.1143 | + | 3.17040i | 0.386781 | + | 0.101223i | ||||
\(982\) | −23.7691 | + | 3.58262i | −0.758503 | + | 0.114326i | ||||
\(983\) | −55.0915 | + | 26.5307i | −1.75715 | + | 0.846197i | −0.782435 | + | 0.622733i | \(0.786022\pi\) |
−0.974712 | + | 0.223465i | \(0.928263\pi\) | |||||||
\(984\) | −7.34748 | − | 8.81560i | −0.234229 | − | 0.281031i | ||||
\(985\) | 25.2063 | − | 12.1387i | 0.803138 | − | 0.386771i | ||||
\(986\) | −0.840583 | − | 11.2168i | −0.0267696 | − | 0.357216i | ||||
\(987\) | −44.7608 | + | 19.8426i | −1.42475 | + | 0.631596i | ||||
\(988\) | −0.190529 | + | 2.54243i | −0.00606153 | + | 0.0808855i | ||||
\(989\) | 11.0018 | + | 28.0322i | 0.349837 | + | 0.891371i | ||||
\(990\) | −3.55871 | − | 3.02657i | −0.113103 | − | 0.0961907i | ||||
\(991\) | −12.5839 | + | 32.0633i | −0.399741 | + | 1.01852i | 0.579346 | + | 0.815082i | \(0.303308\pi\) |
−0.979087 | + | 0.203442i | \(0.934787\pi\) | |||||||
\(992\) | −4.25275 | + | 3.94598i | −0.135025 | + | 0.125285i | ||||
\(993\) | −30.3035 | + | 0.655158i | −0.961652 | + | 0.0207908i | ||||
\(994\) | 30.8442 | + | 23.5231i | 0.978318 | + | 0.746107i | ||||
\(995\) | −6.74444 | − | 1.01656i | −0.213813 | − | 0.0322272i | ||||
\(996\) | 15.3219 | − | 7.79103i | 0.485494 | − | 0.246868i | ||||
\(997\) | −9.94062 | − | 43.5527i | −0.314823 | − | 1.37933i | −0.846504 | − | 0.532383i | \(-0.821297\pi\) |
0.531681 | − | 0.846945i | \(-0.321560\pi\) | |||||||
\(998\) | −8.66486 | − | 15.0080i | −0.274281 | − | 0.475069i | ||||
\(999\) | 15.6899 | − | 12.2589i | 0.496407 | − | 0.387854i |
(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 | 882.2.y.a.583.23 | ✓ | 336 | |
9.4 | even | 3 | 882.2.bb.b.877.23 | yes | 336 | ||
49.39 | even | 21 | 882.2.bb.b.529.23 | yes | 336 | ||
441.382 | even | 21 | inner | 882.2.y.a.823.23 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.y.a.583.23 | ✓ | 336 | 1.1 | even | 1 | trivial | |
882.2.y.a.823.23 | yes | 336 | 441.382 | even | 21 | inner | |
882.2.bb.b.529.23 | yes | 336 | 49.39 | even | 21 | ||
882.2.bb.b.877.23 | yes | 336 | 9.4 | even | 3 |