Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,5,Mod(3,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.3");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.h (of order \(42\), 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: | \(4.44490841261\) |
Analytic rank: | \(0\) |
Dimension: | \(168\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 3.1 | ||
Character | \(\chi\) | \(=\) | 43.3 |
Dual form | 43.5.h.a.29.1 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.21040 | + | 6.66647i | −0.802601 | + | 1.66662i | −0.0587487 | + | 0.998273i | \(0.518711\pi\) |
−0.743852 | + | 0.668345i | \(0.767003\pi\) | |||||||
\(3\) | 13.4095 | + | 1.00491i | 1.48995 | + | 0.111656i | 0.794651 | − | 0.607067i | \(-0.207654\pi\) |
0.695297 | + | 0.718723i | \(0.255273\pi\) | |||||||
\(4\) | −24.1593 | − | 30.2948i | −1.50996 | − | 1.89342i | ||||
\(5\) | −6.13495 | + | 19.8890i | −0.245398 | + | 0.795561i | 0.746145 | + | 0.665783i | \(0.231902\pi\) |
−0.991543 | + | 0.129777i | \(0.958574\pi\) | |||||||
\(6\) | −49.7491 | + | 86.1681i | −1.38192 | + | 2.39356i | ||||
\(7\) | −69.5021 | + | 40.1271i | −1.41841 | + | 0.818920i | −0.996159 | − | 0.0875591i | \(-0.972093\pi\) |
−0.422251 | + | 0.906479i | \(0.638760\pi\) | |||||||
\(8\) | 164.101 | − | 37.4550i | 2.56408 | − | 0.585234i | ||||
\(9\) | 98.7103 | + | 14.8782i | 1.21865 | + | 0.183681i | ||||
\(10\) | −112.894 | − | 104.750i | −1.12894 | − | 1.04750i | ||||
\(11\) | −66.3060 | + | 83.1451i | −0.547983 | + | 0.687149i | −0.976286 | − | 0.216486i | \(-0.930540\pi\) |
0.428302 | + | 0.903636i | \(0.359112\pi\) | |||||||
\(12\) | −293.521 | − | 430.517i | −2.03834 | − | 2.98970i | ||||
\(13\) | 54.4014 | − | 50.4771i | 0.321902 | − | 0.298681i | −0.502625 | − | 0.864505i | \(-0.667632\pi\) |
0.824526 | + | 0.565824i | \(0.191442\pi\) | |||||||
\(14\) | −44.3761 | − | 592.158i | −0.226409 | − | 3.02121i | ||||
\(15\) | −102.253 | + | 260.537i | −0.454459 | + | 1.15794i | ||||
\(16\) | −139.180 | + | 609.788i | −0.543673 | + | 2.38199i | ||||
\(17\) | 499.214 | − | 153.987i | 1.72738 | − | 0.532828i | 0.737580 | − | 0.675260i | \(-0.235968\pi\) |
0.989805 | + | 0.142432i | \(0.0454922\pi\) | |||||||
\(18\) | −416.085 | + | 610.284i | −1.28421 | + | 1.88359i | ||||
\(19\) | 54.5780 | + | 362.101i | 0.151185 | + | 1.00305i | 0.927801 | + | 0.373075i | \(0.121697\pi\) |
−0.776616 | + | 0.629975i | \(0.783065\pi\) | |||||||
\(20\) | 750.750 | − | 294.648i | 1.87687 | − | 0.736619i | ||||
\(21\) | −972.314 | + | 468.242i | −2.20479 | + | 1.06177i | ||||
\(22\) | −341.415 | − | 708.956i | −0.705403 | − | 1.46479i | ||||
\(23\) | 51.1748 | + | 130.391i | 0.0967387 | + | 0.246486i | 0.971049 | − | 0.238882i | \(-0.0767809\pi\) |
−0.874310 | + | 0.485368i | \(0.838686\pi\) | |||||||
\(24\) | 2238.16 | − | 337.348i | 3.88569 | − | 0.585673i | ||||
\(25\) | 158.464 | + | 108.039i | 0.253542 | + | 0.172862i | ||||
\(26\) | 161.854 | + | 524.717i | 0.239429 | + | 0.776208i | ||||
\(27\) | 246.799 | + | 56.3302i | 0.338544 | + | 0.0772705i | ||||
\(28\) | 2894.76 | + | 1136.11i | 3.69230 | + | 1.44912i | ||||
\(29\) | −514.892 | + | 38.5858i | −0.612238 | + | 0.0458809i | −0.377241 | − | 0.926115i | \(-0.623127\pi\) |
−0.234997 | + | 0.971996i | \(0.575508\pi\) | |||||||
\(30\) | −1408.59 | − | 1518.10i | −1.56510 | − | 1.68678i | ||||
\(31\) | 495.679 | − | 337.948i | 0.515795 | − | 0.351663i | −0.277278 | − | 0.960790i | \(-0.589432\pi\) |
0.793073 | + | 0.609127i | \(0.208480\pi\) | |||||||
\(32\) | −1512.73 | − | 1206.36i | −1.47727 | − | 1.17809i | ||||
\(33\) | −972.685 | + | 1048.31i | −0.893191 | + | 0.962631i | ||||
\(34\) | −576.128 | + | 3822.36i | −0.498380 | + | 3.30654i | ||||
\(35\) | −371.696 | − | 1628.51i | −0.303425 | − | 1.32939i | ||||
\(36\) | −1934.04 | − | 3349.85i | −1.49231 | − | 2.58476i | ||||
\(37\) | −350.877 | − | 202.579i | −0.256302 | − | 0.147976i | 0.366345 | − | 0.930479i | \(-0.380609\pi\) |
−0.622646 | + | 0.782503i | \(0.713942\pi\) | |||||||
\(38\) | −2589.15 | − | 798.648i | −1.79304 | − | 0.553080i | ||||
\(39\) | 780.221 | − | 622.206i | 0.512966 | − | 0.409077i | ||||
\(40\) | −261.809 | + | 3493.59i | −0.163630 | + | 2.18350i | ||||
\(41\) | 2387.87 | + | 1149.94i | 1.42050 | + | 0.684079i | 0.977205 | − | 0.212296i | \(-0.0680940\pi\) |
0.443298 | + | 0.896374i | \(0.353808\pi\) | |||||||
\(42\) | − | 7985.15i | − | 4.52673i | ||||||
\(43\) | 762.311 | + | 1684.54i | 0.412283 | + | 0.911056i | ||||
\(44\) | 4120.77 | 2.12850 | ||||||||
\(45\) | −901.495 | + | 1871.97i | −0.445183 | + | 0.924431i | ||||
\(46\) | −1033.54 | − | 77.4531i | −0.488440 | − | 0.0366036i | ||||
\(47\) | −998.888 | − | 1252.57i | −0.452190 | − | 0.567029i | 0.502520 | − | 0.864566i | \(-0.332406\pi\) |
−0.954710 | + | 0.297537i | \(0.903835\pi\) | |||||||
\(48\) | −2479.12 | + | 8037.11i | −1.07601 | + | 3.48833i | ||||
\(49\) | 2019.86 | − | 3498.51i | 0.841259 | − | 1.45710i | ||||
\(50\) | −1228.97 | + | 709.547i | −0.491588 | + | 0.283819i | ||||
\(51\) | 6848.97 | − | 1563.23i | 2.63321 | − | 0.601012i | ||||
\(52\) | −2843.49 | − | 428.587i | −1.05159 | − | 0.158501i | ||||
\(53\) | −801.577 | − | 743.755i | −0.285360 | − | 0.264776i | 0.524484 | − | 0.851420i | \(-0.324258\pi\) |
−0.809845 | + | 0.586644i | \(0.800449\pi\) | |||||||
\(54\) | −1167.85 | + | 1464.43i | −0.400496 | + | 0.502206i | ||||
\(55\) | −1246.89 | − | 1828.85i | −0.412195 | − | 0.604579i | ||||
\(56\) | −9902.41 | + | 9188.09i | −3.15766 | + | 2.92988i | ||||
\(57\) | 367.987 | + | 4910.45i | 0.113262 | + | 1.51137i | ||||
\(58\) | 1395.78 | − | 3556.39i | 0.414917 | − | 1.05719i | ||||
\(59\) | 709.624 | − | 3109.07i | 0.203856 | − | 0.893153i | −0.764705 | − | 0.644380i | \(-0.777115\pi\) |
0.968562 | − | 0.248773i | \(-0.0800274\pi\) | |||||||
\(60\) | 10363.3 | − | 3196.65i | 2.87869 | − | 0.887959i | ||||
\(61\) | −1041.63 | + | 1527.79i | −0.279933 | + | 0.410586i | −0.940295 | − | 0.340362i | \(-0.889451\pi\) |
0.660362 | + | 0.750948i | \(0.270403\pi\) | |||||||
\(62\) | 661.592 | + | 4389.38i | 0.172110 | + | 1.14188i | ||||
\(63\) | −7457.59 | + | 2926.89i | −1.87896 | + | 0.737437i | ||||
\(64\) | 3882.17 | − | 1869.56i | 0.947796 | − | 0.456435i | ||||
\(65\) | 670.190 | + | 1391.66i | 0.158625 | + | 0.329388i | ||||
\(66\) | −3865.78 | − | 9849.86i | −0.887462 | − | 2.26122i | ||||
\(67\) | −2283.23 | + | 344.141i | −0.508628 | + | 0.0766633i | −0.398343 | − | 0.917237i | \(-0.630414\pi\) |
−0.110285 | + | 0.993900i | \(0.535176\pi\) | |||||||
\(68\) | −16725.7 | − | 11403.4i | −3.61714 | − | 2.46613i | ||||
\(69\) | 555.198 | + | 1799.91i | 0.116614 | + | 0.378053i | ||||
\(70\) | 12049.7 | + | 2750.26i | 2.45912 | + | 0.561278i | ||||
\(71\) | 7451.17 | + | 2924.37i | 1.47811 | + | 0.580117i | 0.961183 | − | 0.275911i | \(-0.0889794\pi\) |
0.516930 | + | 0.856028i | \(0.327075\pi\) | |||||||
\(72\) | 16755.7 | − | 1255.67i | 3.23220 | − | 0.242220i | ||||
\(73\) | −1307.67 | − | 1409.33i | −0.245387 | − | 0.264465i | 0.598333 | − | 0.801247i | \(-0.295830\pi\) |
−0.843721 | + | 0.536783i | \(0.819639\pi\) | |||||||
\(74\) | 2476.94 | − | 1688.75i | 0.452327 | − | 0.308391i | ||||
\(75\) | 2016.36 | + | 1607.99i | 0.358464 | + | 0.285865i | ||||
\(76\) | 9651.21 | − | 10401.5i | 1.67092 | − | 1.80082i | ||||
\(77\) | 1272.04 | − | 8439.42i | 0.214545 | − | 1.42341i | ||||
\(78\) | 1643.09 | + | 7198.85i | 0.270068 | + | 1.18324i | ||||
\(79\) | −1284.20 | − | 2224.29i | −0.205768 | − | 0.356400i | 0.744609 | − | 0.667501i | \(-0.232636\pi\) |
−0.950377 | + | 0.311100i | \(0.899303\pi\) | |||||||
\(80\) | −11274.2 | − | 6509.18i | −1.76160 | − | 1.01706i | ||||
\(81\) | −4473.77 | − | 1379.97i | −0.681873 | − | 0.210330i | ||||
\(82\) | −15332.0 | + | 12226.9i | −2.28019 | + | 1.81839i | ||||
\(83\) | −62.5813 | + | 835.090i | −0.00908424 | + | 0.121221i | −0.999902 | − | 0.0139815i | \(-0.995549\pi\) |
0.990818 | + | 0.135202i | \(0.0431684\pi\) | |||||||
\(84\) | 37675.7 | + | 18143.7i | 5.33953 | + | 2.57138i | ||||
\(85\) | 10873.6i | 1.50499i | ||||||||
\(86\) | −13677.3 | − | 326.132i | −1.84928 | − | 0.0440957i | ||||
\(87\) | −6943.24 | −0.917326 | ||||||||
\(88\) | −7766.68 | + | 16127.7i | −1.00293 | + | 2.08260i | ||||
\(89\) | −4911.24 | − | 368.047i | −0.620028 | − | 0.0464647i | −0.238987 | − | 0.971023i | \(-0.576815\pi\) |
−0.381041 | + | 0.924558i | \(0.624434\pi\) | |||||||
\(90\) | −9585.29 | − | 12019.6i | −1.18337 | − | 1.48390i | ||||
\(91\) | −1755.51 | + | 5691.23i | −0.211993 | + | 0.687264i | ||||
\(92\) | 2713.83 | − | 4700.49i | 0.320632 | − | 0.555350i | ||||
\(93\) | 6986.42 | − | 4033.61i | 0.807772 | − | 0.466368i | ||||
\(94\) | 11557.0 | − | 2637.82i | 1.30795 | − | 0.298531i | ||||
\(95\) | −7536.67 | − | 1135.97i | −0.835088 | − | 0.125869i | ||||
\(96\) | −19072.7 | − | 17696.9i | −2.06952 | − | 1.92023i | ||||
\(97\) | 6215.93 | − | 7794.53i | 0.660637 | − | 0.828413i | −0.332776 | − | 0.943006i | \(-0.607985\pi\) |
0.993412 | + | 0.114594i | \(0.0365566\pi\) | |||||||
\(98\) | 16838.1 | + | 24697.0i | 1.75324 | + | 2.57153i | ||||
\(99\) | −7782.13 | + | 7220.76i | −0.794014 | + | 0.736737i | ||||
\(100\) | −555.361 | − | 7410.78i | −0.0555361 | − | 0.741078i | ||||
\(101\) | 6408.96 | − | 16329.8i | 0.628268 | − | 1.60080i | −0.161140 | − | 0.986932i | \(-0.551517\pi\) |
0.789408 | − | 0.613869i | \(-0.210388\pi\) | |||||||
\(102\) | −11566.7 | + | 50677.0i | −1.11176 | + | 4.87092i | ||||
\(103\) | −9093.55 | + | 2804.99i | −0.857154 | + | 0.264397i | −0.692024 | − | 0.721875i | \(-0.743281\pi\) |
−0.165130 | + | 0.986272i | \(0.552804\pi\) | |||||||
\(104\) | 7036.70 | − | 10320.9i | 0.650583 | − | 0.954229i | ||||
\(105\) | −3347.77 | − | 22211.0i | −0.303653 | − | 2.01460i | ||||
\(106\) | 7531.60 | − | 2955.94i | 0.670310 | − | 0.263077i | ||||
\(107\) | 820.371 | − | 395.070i | 0.0716544 | − | 0.0345069i | −0.397713 | − | 0.917510i | \(-0.630196\pi\) |
0.469368 | + | 0.883003i | \(0.344482\pi\) | |||||||
\(108\) | −4255.97 | − | 8837.61i | −0.364881 | − | 0.757683i | ||||
\(109\) | −3775.53 | − | 9619.89i | −0.317779 | − | 0.809687i | −0.997118 | − | 0.0758630i | \(-0.975829\pi\) |
0.679339 | − | 0.733824i | \(-0.262266\pi\) | |||||||
\(110\) | 16195.0 | − | 2441.00i | 1.33843 | − | 0.201736i | ||||
\(111\) | −4501.52 | − | 3069.09i | −0.365354 | − | 0.249094i | ||||
\(112\) | −14795.7 | − | 47966.5i | −1.17950 | − | 3.82386i | ||||
\(113\) | 13646.6 | + | 3114.74i | 1.06873 | + | 0.243930i | 0.720482 | − | 0.693473i | \(-0.243921\pi\) |
0.348245 | + | 0.937403i | \(0.386778\pi\) | |||||||
\(114\) | −33916.8 | − | 13311.3i | −2.60978 | − | 1.02426i | ||||
\(115\) | −2907.31 | + | 217.872i | −0.219834 | + | 0.0164743i | ||||
\(116\) | 13608.4 | + | 14666.4i | 1.01132 | + | 1.08995i | ||||
\(117\) | 6120.98 | − | 4173.22i | 0.447146 | − | 0.304859i | ||||
\(118\) | 18448.3 | + | 14712.0i | 1.32493 | + | 1.05660i | ||||
\(119\) | −28517.4 | + | 30734.4i | −2.01380 | + | 2.17036i | ||||
\(120\) | −7021.46 | + | 46584.3i | −0.487601 | + | 3.23502i | ||||
\(121\) | 741.308 | + | 3247.88i | 0.0506324 | + | 0.221835i | ||||
\(122\) | −6840.92 | − | 11848.8i | −0.459616 | − | 0.796078i | ||||
\(123\) | 30864.6 | + | 17819.7i | 2.04009 | + | 1.17785i | ||||
\(124\) | −22213.3 | − | 6851.90i | −1.44467 | − | 0.445623i | ||||
\(125\) | −13291.5 | + | 10599.6i | −0.850654 | + | 0.678374i | ||||
\(126\) | 4429.85 | − | 59112.3i | 0.279028 | − | 3.72337i | ||||
\(127\) | −2419.09 | − | 1164.97i | −0.149984 | − | 0.0722286i | 0.357386 | − | 0.933957i | \(-0.383668\pi\) |
−0.507370 | + | 0.861728i | \(0.669382\pi\) | |||||||
\(128\) | 924.773i | 0.0564437i | ||||||||
\(129\) | 8529.43 | + | 23355.0i | 0.512555 | + | 1.40346i | ||||
\(130\) | −11429.1 | −0.676276 | ||||||||
\(131\) | 6692.30 | − | 13896.7i | 0.389971 | − | 0.809784i | −0.609879 | − | 0.792494i | \(-0.708782\pi\) |
0.999851 | − | 0.0172894i | \(-0.00550366\pi\) | |||||||
\(132\) | 55257.6 | + | 4140.98i | 3.17135 | + | 0.237660i | ||||
\(133\) | −18323.3 | − | 22976.7i | −1.03586 | − | 1.29893i | ||||
\(134\) | 5035.88 | − | 16325.9i | 0.280456 | − | 0.909218i | ||||
\(135\) | −2634.45 | + | 4563.00i | −0.144551 | + | 0.250370i | ||||
\(136\) | 76154.0 | − | 43967.5i | 4.11732 | − | 2.37714i | ||||
\(137\) | 6671.48 | − | 1522.72i | 0.355452 | − | 0.0811296i | −0.0410663 | − | 0.999156i | \(-0.513075\pi\) |
0.396518 | + | 0.918027i | \(0.370218\pi\) | |||||||
\(138\) | −13781.5 | − | 2077.22i | −0.723664 | − | 0.109075i | ||||
\(139\) | 5960.00 | + | 5530.07i | 0.308473 | + | 0.286221i | 0.819183 | − | 0.573532i | \(-0.194427\pi\) |
−0.510711 | + | 0.859753i | \(0.670618\pi\) | |||||||
\(140\) | −40355.3 | + | 50604.0i | −2.05895 | + | 2.58184i | ||||
\(141\) | −12135.9 | − | 17800.1i | −0.610428 | − | 0.895333i | ||||
\(142\) | −43416.5 | + | 40284.6i | −2.15317 | + | 1.99785i | ||||
\(143\) | 589.785 | + | 7870.14i | 0.0288418 | + | 0.384867i | ||||
\(144\) | −22811.1 | + | 58121.6i | −1.10007 | + | 2.80293i | ||||
\(145\) | 2391.40 | − | 10477.4i | 0.113741 | − | 0.498332i | ||||
\(146\) | 13593.4 | − | 4193.01i | 0.637710 | − | 0.196707i | ||||
\(147\) | 30601.1 | − | 44883.5i | 1.41613 | − | 2.07708i | ||||
\(148\) | 2339.85 | + | 15523.9i | 0.106823 | + | 0.708725i | ||||
\(149\) | 15310.2 | − | 6008.79i | 0.689615 | − | 0.270654i | 0.00545440 | − | 0.999985i | \(-0.498264\pi\) |
0.684161 | + | 0.729331i | \(0.260169\pi\) | |||||||
\(150\) | −17192.9 | + | 8279.69i | −0.764131 | + | 0.367986i | ||||
\(151\) | 11232.5 | + | 23324.5i | 0.492632 | + | 1.02296i | 0.988025 | + | 0.154292i | \(0.0493096\pi\) |
−0.495393 | + | 0.868669i | \(0.664976\pi\) | |||||||
\(152\) | 22518.8 | + | 57376.9i | 0.974671 | + | 2.48342i | ||||
\(153\) | 51568.6 | − | 7772.72i | 2.20294 | − | 0.332040i | ||||
\(154\) | 52177.4 | + | 35574.0i | 2.20009 | + | 1.50000i | ||||
\(155\) | 3680.49 | + | 11931.9i | 0.153194 | + | 0.496643i | ||||
\(156\) | −37699.2 | − | 8604.59i | −1.54911 | − | 0.353575i | ||||
\(157\) | −29395.3 | − | 11536.8i | −1.19255 | − | 0.468043i | −0.315728 | − | 0.948850i | \(-0.602249\pi\) |
−0.876827 | + | 0.480807i | \(0.840344\pi\) | |||||||
\(158\) | 18951.0 | − | 1420.18i | 0.759132 | − | 0.0568891i | ||||
\(159\) | −10001.4 | − | 10778.9i | −0.395608 | − | 0.426364i | ||||
\(160\) | 33273.8 | − | 22685.7i | 1.29976 | − | 0.886161i | ||||
\(161\) | −8788.97 | − | 7008.97i | −0.339067 | − | 0.270397i | ||||
\(162\) | 23562.1 | − | 25394.0i | 0.897811 | − | 0.967610i | ||||
\(163\) | −290.469 | + | 1927.14i | −0.0109326 | + | 0.0725332i | −0.993632 | − | 0.112675i | \(-0.964058\pi\) |
0.982699 | + | 0.185209i | \(0.0592961\pi\) | |||||||
\(164\) | −22852.1 | − | 100122.i | −0.849647 | − | 3.72255i | ||||
\(165\) | −14882.4 | − | 25777.0i | −0.546644 | − | 0.946815i | ||||
\(166\) | −5366.19 | − | 3098.17i | −0.194738 | − | 0.112432i | ||||
\(167\) | 8936.49 | + | 2756.54i | 0.320431 | + | 0.0988398i | 0.450798 | − | 0.892626i | \(-0.351139\pi\) |
−0.130367 | + | 0.991466i | \(0.541616\pi\) | |||||||
\(168\) | −142020. | + | 113257.i | −5.03188 | + | 4.01279i | ||||
\(169\) | −1722.79 | + | 22989.1i | −0.0603198 | + | 0.804912i | ||||
\(170\) | −72488.4 | − | 34908.6i | −2.50825 | − | 1.20791i | ||||
\(171\) | 36555.1i | 1.25013i | ||||||||
\(172\) | 32616.0 | − | 63791.4i | 1.10249 | − | 2.15628i | ||||
\(173\) | 46317.7 | 1.54759 | 0.773793 | − | 0.633439i | \(-0.218357\pi\) | ||||
0.773793 | + | 0.633439i | \(0.218357\pi\) | |||||||
\(174\) | 22290.6 | − | 46286.9i | 0.736246 | − | 1.52883i | ||||
\(175\) | −15348.9 | − | 1150.24i | −0.501187 | − | 0.0375588i | ||||
\(176\) | −41472.4 | − | 52004.8i | −1.33886 | − | 1.67887i | ||||
\(177\) | 12640.0 | − | 40978.0i | 0.403461 | − | 1.30799i | ||||
\(178\) | 18220.6 | − | 31559.1i | 0.575074 | − | 0.996057i | ||||
\(179\) | −26810.2 | + | 15478.9i | −0.836748 | + | 0.483097i | −0.856158 | − | 0.516715i | \(-0.827155\pi\) |
0.0194095 | + | 0.999812i | \(0.493821\pi\) | |||||||
\(180\) | 78490.5 | − | 17915.0i | 2.42255 | − | 0.552931i | ||||
\(181\) | −4923.45 | − | 742.091i | −0.150284 | − | 0.0226516i | 0.0734694 | − | 0.997297i | \(-0.476593\pi\) |
−0.223753 | + | 0.974646i | \(0.571831\pi\) | |||||||
\(182\) | −32304.5 | − | 29974.2i | −0.975260 | − | 0.904909i | ||||
\(183\) | −15503.1 | + | 19440.2i | −0.462930 | + | 0.580495i | ||||
\(184\) | 13281.6 | + | 19480.6i | 0.392298 | + | 0.575395i | ||||
\(185\) | 6181.71 | − | 5735.79i | 0.180620 | − | 0.167591i | ||||
\(186\) | 4460.73 | + | 59524.3i | 0.128938 | + | 1.72055i | ||||
\(187\) | −20297.6 | + | 51717.5i | −0.580446 | + | 1.47895i | ||||
\(188\) | −13813.8 | + | 60522.2i | −0.390839 | + | 1.71238i | ||||
\(189\) | −19413.4 | + | 5988.24i | −0.543473 | + | 0.167639i | ||||
\(190\) | 31768.6 | − | 46596.0i | 0.880018 | − | 1.29075i | ||||
\(191\) | 4195.51 | + | 27835.4i | 0.115005 | + | 0.763010i | 0.969775 | + | 0.244002i | \(0.0784604\pi\) |
−0.854769 | + | 0.519008i | \(0.826301\pi\) | |||||||
\(192\) | 53936.8 | − | 21168.7i | 1.46313 | − | 0.574236i | ||||
\(193\) | −37192.1 | + | 17910.8i | −0.998473 | + | 0.480839i | −0.860420 | − | 0.509586i | \(-0.829799\pi\) |
−0.138053 | + | 0.990425i | \(0.544084\pi\) | |||||||
\(194\) | 32006.4 | + | 66461.9i | 0.850419 | + | 1.76591i | ||||
\(195\) | 7588.44 | + | 19335.0i | 0.199565 | + | 0.508482i | ||||
\(196\) | −154785. | + | 23330.1i | −4.02918 | + | 0.607301i | ||||
\(197\) | 20657.3 | + | 14083.9i | 0.532281 | + | 0.362903i | 0.799437 | − | 0.600751i | \(-0.205132\pi\) |
−0.267156 | + | 0.963653i | \(0.586084\pi\) | |||||||
\(198\) | −23153.2 | − | 75060.9i | −0.590583 | − | 1.91462i | ||||
\(199\) | −9470.22 | − | 2161.52i | −0.239141 | − | 0.0545823i | 0.101271 | − | 0.994859i | \(-0.467709\pi\) |
−0.340411 | + | 0.940277i | \(0.610566\pi\) | |||||||
\(200\) | 30050.7 | + | 11794.0i | 0.751267 | + | 0.294851i | ||||
\(201\) | −30962.9 | + | 2320.35i | −0.766388 | + | 0.0574329i | ||||
\(202\) | 88286.5 | + | 95150.3i | 2.16367 | + | 2.33189i | ||||
\(203\) | 34237.8 | − | 23342.9i | 0.830832 | − | 0.566452i | ||||
\(204\) | −212824. | − | 169722.i | −5.11400 | − | 4.07828i | ||||
\(205\) | −37520.5 | + | 40437.5i | −0.892815 | + | 0.962225i | ||||
\(206\) | 10494.6 | − | 69627.0i | 0.247304 | − | 1.64075i | ||||
\(207\) | 3111.49 | + | 13632.3i | 0.0726153 | + | 0.318148i | ||||
\(208\) | 23208.7 | + | 40198.7i | 0.536445 | + | 0.929149i | ||||
\(209\) | −33725.8 | − | 19471.6i | −0.772093 | − | 0.445768i | ||||
\(210\) | 158817. | + | 48988.5i | 3.60129 | + | 1.11085i | ||||
\(211\) | 43376.6 | − | 34591.7i | 0.974296 | − | 0.776975i | −0.000516774 | − | 1.00000i | \(-0.500164\pi\) |
0.974813 | + | 0.223025i | \(0.0715931\pi\) | |||||||
\(212\) | −3166.37 | + | 42252.2i | −0.0704513 | + | 0.940108i | ||||
\(213\) | 96978.0 | + | 46702.1i | 2.13754 | + | 1.02938i | ||||
\(214\) | 6737.31i | 0.147116i | ||||||||
\(215\) | −38180.6 | + | 4827.04i | −0.825973 | + | 0.104425i | ||||
\(216\) | 42609.8 | 0.913275 | ||||||||
\(217\) | −20889.9 | + | 43378.2i | −0.443625 | + | 0.921197i | ||||
\(218\) | 76251.7 | + | 5714.27i | 1.60449 | + | 0.120240i | ||||
\(219\) | −16119.0 | − | 20212.6i | −0.336085 | − | 0.421438i | ||||
\(220\) | −25280.7 | + | 81958.0i | −0.522329 | + | 1.69335i | ||||
\(221\) | 19385.1 | − | 33576.0i | 0.396902 | − | 0.687455i | ||||
\(222\) | 34911.7 | − | 20156.3i | 0.708377 | − | 0.408982i | ||||
\(223\) | −62509.3 | + | 14267.3i | −1.25700 | + | 0.286902i | −0.798609 | − | 0.601850i | \(-0.794431\pi\) |
−0.458389 | + | 0.888752i | \(0.651573\pi\) | |||||||
\(224\) | 153546. | + | 23143.3i | 3.06014 | + | 0.461242i | ||||
\(225\) | 14034.6 | + | 13022.2i | 0.277227 | + | 0.257229i | ||||
\(226\) | −64575.4 | + | 80974.9i | −1.26430 | + | 1.58538i | ||||
\(227\) | 11348.5 | + | 16645.1i | 0.220234 | + | 0.323025i | 0.920416 | − | 0.390940i | \(-0.127850\pi\) |
−0.700182 | + | 0.713965i | \(0.746898\pi\) | |||||||
\(228\) | 139871. | − | 129781.i | 2.69065 | − | 2.49656i | ||||
\(229\) | −265.600 | − | 3544.18i | −0.00506473 | − | 0.0675842i | 0.994099 | − | 0.108479i | \(-0.0345981\pi\) |
−0.999163 | + | 0.0408951i | \(0.986979\pi\) | |||||||
\(230\) | 7881.18 | − | 20080.9i | 0.148983 | − | 0.379602i | ||||
\(231\) | 25538.3 | − | 111890.i | 0.478594 | − | 2.09686i | ||||
\(232\) | −83049.1 | + | 25617.3i | −1.54298 | + | 0.475945i | ||||
\(233\) | 27336.7 | − | 40095.6i | 0.503541 | − | 0.738559i | −0.487353 | − | 0.873205i | \(-0.662037\pi\) |
0.990894 | + | 0.134646i | \(0.0429898\pi\) | |||||||
\(234\) | 8169.79 | + | 54203.0i | 0.149204 | + | 0.989901i | ||||
\(235\) | 31040.4 | − | 12182.5i | 0.562072 | − | 0.220597i | ||||
\(236\) | −111333. | + | 53614.9i | −1.99893 | + | 0.962635i | ||||
\(237\) | −14985.3 | − | 31117.2i | −0.266789 | − | 0.553993i | ||||
\(238\) | −113338. | − | 288780.i | −2.00088 | − | 5.09816i | ||||
\(239\) | 18854.6 | − | 2841.87i | 0.330082 | − | 0.0497518i | 0.0180893 | − | 0.999836i | \(-0.494242\pi\) |
0.311993 | + | 0.950085i | \(0.399004\pi\) | |||||||
\(240\) | −144641. | − | 98614.5i | −2.51113 | − | 1.71206i | ||||
\(241\) | 21937.3 | + | 71119.0i | 0.377702 | + | 1.22448i | 0.922528 | + | 0.385930i | \(0.126119\pi\) |
−0.544826 | + | 0.838549i | \(0.683404\pi\) | |||||||
\(242\) | −24031.8 | − | 5485.11i | −0.410351 | − | 0.0936600i | ||||
\(243\) | −77691.7 | − | 30491.8i | −1.31572 | − | 0.516381i | ||||
\(244\) | 71449.2 | − | 5354.37i | 1.20010 | − | 0.0899351i | ||||
\(245\) | 57190.1 | + | 61636.2i | 0.952771 | + | 1.02684i | ||||
\(246\) | −217882. | + | 148549.i | −3.60040 | + | 2.45471i | ||||
\(247\) | 21246.9 | + | 16943.9i | 0.348259 | + | 0.277727i | ||||
\(248\) | 68683.5 | − | 74023.3i | 1.11673 | − | 1.20355i | ||||
\(249\) | −1678.37 | + | 11135.3i | −0.0270701 | + | 0.179598i | ||||
\(250\) | −27990.9 | − | 122636.i | −0.447854 | − | 1.96218i | ||||
\(251\) | −30796.7 | − | 53341.4i | −0.488829 | − | 0.846676i | 0.511089 | − | 0.859528i | \(-0.329242\pi\) |
−0.999917 | + | 0.0128518i | \(0.995909\pi\) | |||||||
\(252\) | 268840. | + | 155215.i | 4.23343 | + | 2.44417i | ||||
\(253\) | −14234.6 | − | 4390.78i | −0.222384 | − | 0.0685964i | ||||
\(254\) | 15532.5 | − | 12386.8i | 0.240755 | − | 0.191995i | ||||
\(255\) | −10926.9 | + | 145810.i | −0.168042 | + | 2.24236i | ||||
\(256\) | 55949.8 | + | 26944.0i | 0.853726 | + | 0.411133i | ||||
\(257\) | − | 111137.i | − | 1.68264i | −0.540537 | − | 0.841320i | \(-0.681779\pi\) | ||
0.540537 | − | 0.841320i | \(-0.318221\pi\) | |||||||
\(258\) | −183078. | − | 18117.6i | −2.75041 | − | 0.272184i | ||||
\(259\) | 32515.6 | 0.484721 | ||||||||
\(260\) | 25968.9 | − | 53924.9i | 0.384155 | − | 0.797705i | ||||
\(261\) | −51399.3 | − | 3851.84i | −0.754529 | − | 0.0565441i | ||||
\(262\) | 71157.0 | + | 89228.0i | 1.03661 | + | 1.29987i | ||||
\(263\) | −12626.0 | + | 40932.4i | −0.182538 | + | 0.591774i | 0.817340 | + | 0.576156i | \(0.195448\pi\) |
−0.999878 | + | 0.0156181i | \(0.995028\pi\) | |||||||
\(264\) | −120354. | + | 208460.i | −1.72685 | + | 2.99099i | ||||
\(265\) | 19710.2 | − | 11379.7i | 0.280672 | − | 0.162046i | ||||
\(266\) | 211999. | − | 48387.4i | 2.99620 | − | 0.683863i | ||||
\(267\) | −65487.6 | − | 9870.66i | −0.918621 | − | 0.138460i | ||||
\(268\) | 65586.9 | + | 60855.7i | 0.913161 | + | 0.847290i | ||||
\(269\) | 49074.3 | − | 61537.2i | 0.678187 | − | 0.850420i | −0.316999 | − | 0.948426i | \(-0.602675\pi\) |
0.995186 | + | 0.0980063i | \(0.0312465\pi\) | |||||||
\(270\) | −21961.5 | − | 32211.5i | −0.301255 | − | 0.441859i | ||||
\(271\) | 78906.2 | − | 73214.3i | 1.07442 | − | 0.996913i | 0.0744169 | − | 0.997227i | \(-0.476290\pi\) |
1.00000 | 0.000314101i | \(9.99815e-5\pi\) | ||||||||
\(272\) | 24418.8 | + | 325847.i | 0.330056 | + | 4.40429i | ||||
\(273\) | −29259.7 | + | 74552.6i | −0.392595 | + | 1.00032i | ||||
\(274\) | −11267.0 | + | 49363.8i | −0.150074 | + | 0.657517i | ||||
\(275\) | −19490.0 | + | 6011.87i | −0.257719 | + | 0.0794958i | ||||
\(276\) | 41114.7 | − | 60304.2i | 0.539733 | − | 0.791642i | ||||
\(277\) | 16128.9 | + | 107008.i | 0.210206 | + | 1.39462i | 0.806204 | + | 0.591637i | \(0.201518\pi\) |
−0.595999 | + | 0.802985i | \(0.703244\pi\) | |||||||
\(278\) | −56000.0 | + | 21978.4i | −0.724601 | + | 0.284385i | ||||
\(279\) | 53956.6 | − | 25984.1i | 0.693165 | − | 0.333811i | ||||
\(280\) | −121991. | − | 253318.i | −1.55601 | − | 3.23109i | ||||
\(281\) | 14661.2 | + | 37356.1i | 0.185676 | + | 0.473096i | 0.993155 | − | 0.116800i | \(-0.0372638\pi\) |
−0.807479 | + | 0.589896i | \(0.799169\pi\) | |||||||
\(282\) | 157625. | − | 23758.2i | 1.98211 | − | 0.298755i | ||||
\(283\) | −44551.1 | − | 30374.4i | −0.556269 | − | 0.379258i | 0.252309 | − | 0.967647i | \(-0.418810\pi\) |
−0.808578 | + | 0.588389i | \(0.799763\pi\) | |||||||
\(284\) | −91421.8 | − | 296382.i | −1.13348 | − | 3.67465i | ||||
\(285\) | −99921.6 | − | 22806.5i | −1.23018 | − | 0.280781i | ||||
\(286\) | −54359.5 | − | 21334.5i | −0.664574 | − | 0.260826i | ||||
\(287\) | −212105. | + | 15895.1i | −2.57506 | + | 0.192974i | ||||
\(288\) | −131373. | − | 141587.i | −1.58388 | − | 1.70702i | ||||
\(289\) | 156494. | − | 106696.i | 1.87371 | − | 1.27748i | ||||
\(290\) | 62170.0 | + | 49579.0i | 0.739240 | + | 0.589524i | ||||
\(291\) | 91185.5 | − | 98274.6i | 1.07681 | − | 1.16053i | ||||
\(292\) | −11103.1 | + | 73664.1i | −0.130220 | + | 0.863953i | ||||
\(293\) | 18762.2 | + | 82202.4i | 0.218548 | + | 0.957523i | 0.958551 | + | 0.284920i | \(0.0919669\pi\) |
−0.740003 | + | 0.672604i | \(0.765176\pi\) | |||||||
\(294\) | 200973. | + | 348095.i | 2.32511 | + | 4.02720i | ||||
\(295\) | 57482.8 | + | 33187.7i | 0.660532 | + | 0.381358i | ||||
\(296\) | −65166.9 | − | 20101.3i | −0.743778 | − | 0.229425i | ||||
\(297\) | −21047.8 | + | 16785.1i | −0.238613 | + | 0.190288i | ||||
\(298\) | −9094.32 | + | 121355.i | −0.102409 | + | 1.36655i | ||||
\(299\) | 9365.74 | + | 4510.30i | 0.104761 | + | 0.0504503i | ||||
\(300\) | − | 99933.1i | − | 1.11037i | ||||||
\(301\) | −120578. | − | 86489.9i | −1.33087 | − | 0.954624i | ||||
\(302\) | −191553. | −2.10027 | ||||||||
\(303\) | 102351. | − | 212534.i | 1.11483 | − | 2.31496i | ||||
\(304\) | −228401. | − | 17116.3i | −2.47145 | − | 0.185209i | ||||
\(305\) | −23995.9 | − | 30089.9i | −0.257951 | − | 0.323460i | ||||
\(306\) | −113739. | + | 368734.i | −1.21470 | + | 3.93795i | ||||
\(307\) | 62231.3 | − | 107788.i | 0.660286 | − | 1.14365i | −0.320255 | − | 0.947331i | \(-0.603769\pi\) |
0.980541 | − | 0.196317i | \(-0.0628981\pi\) | |||||||
\(308\) | −286402. | + | 165354.i | −3.01908 | + | 1.74307i | ||||
\(309\) | −124759. | + | 28475.4i | −1.30664 | + | 0.298231i | ||||
\(310\) | −91359.2 | − | 13770.2i | −0.950668 | − | 0.143290i | ||||
\(311\) | 93831.8 | + | 87063.2i | 0.970129 | + | 0.900148i | 0.995033 | − | 0.0995418i | \(-0.0317377\pi\) |
−0.0249045 | + | 0.999690i | \(0.507928\pi\) | |||||||
\(312\) | 104730. | − | 131328.i | 1.07588 | − | 1.34911i | ||||
\(313\) | −106093. | − | 155610.i | −1.08292 | − | 1.58836i | −0.769392 | − | 0.638777i | \(-0.779441\pi\) |
−0.313530 | − | 0.949578i | \(-0.601512\pi\) | |||||||
\(314\) | 171280. | − | 158925.i | 1.73719 | − | 1.61188i | ||||
\(315\) | −12461.0 | − | 166280.i | −0.125583 | − | 1.67579i | ||||
\(316\) | −36359.3 | + | 92641.9i | −0.364117 | + | 0.927755i | ||||
\(317\) | −17704.8 | + | 77570.0i | −0.176187 | + | 0.771925i | 0.807181 | + | 0.590303i | \(0.200992\pi\) |
−0.983368 | + | 0.181622i | \(0.941865\pi\) | |||||||
\(318\) | 103966. | − | 32069.2i | 1.02810 | − | 0.317127i | ||||
\(319\) | 30932.2 | − | 45369.2i | 0.303969 | − | 0.445841i | ||||
\(320\) | 13366.7 | + | 88682.2i | 0.130534 | + | 0.866038i | ||||
\(321\) | 11397.8 | − | 4473.31i | 0.110614 | − | 0.0434129i | ||||
\(322\) | 74941.2 | − | 36089.8i | 0.722785 | − | 0.348075i | ||||
\(323\) | 83005.0 | + | 172362.i | 0.795608 | + | 1.65210i | ||||
\(324\) | 66277.0 | + | 168871.i | 0.631354 | + | 1.60866i | ||||
\(325\) | 14074.1 | − | 2121.34i | 0.133246 | − | 0.0200837i | ||||
\(326\) | −11914.7 | − | 8123.28i | −0.112111 | − | 0.0764357i | ||||
\(327\) | −40961.0 | − | 132792.i | −0.383067 | − | 1.24187i | ||||
\(328\) | 434922. | + | 99268.2i | 4.04263 | + | 0.922704i | ||||
\(329\) | 119687. | + | 46973.6i | 1.10574 | + | 0.433972i | ||||
\(330\) | 219620. | − | 16458.3i | 2.01672 | − | 0.151132i | ||||
\(331\) | −103686. | − | 111747.i | −0.946376 | − | 1.01995i | −0.999771 | − | 0.0213775i | \(-0.993195\pi\) |
0.0533953 | − | 0.998573i | \(-0.482996\pi\) | |||||||
\(332\) | 26810.8 | − | 18279.3i | 0.243239 | − | 0.165838i | ||||
\(333\) | −31621.2 | − | 25217.0i | −0.285161 | − | 0.227408i | ||||
\(334\) | −47066.1 | + | 50725.2i | −0.421906 | + | 0.454706i | ||||
\(335\) | 7162.86 | − | 47522.5i | 0.0638259 | − | 0.423457i | ||||
\(336\) | −150202. | − | 658076.i | −1.33044 | − | 5.82905i | ||||
\(337\) | −39711.3 | − | 68782.0i | −0.349667 | − | 0.605641i | 0.636523 | − | 0.771258i | \(-0.280372\pi\) |
−0.986190 | + | 0.165617i | \(0.947039\pi\) | |||||||
\(338\) | −147725. | − | 85289.2i | −1.29307 | − | 0.746553i | ||||
\(339\) | 179864. | + | 55480.8i | 1.56511 | + | 0.482773i | ||||
\(340\) | 329413. | − | 262698.i | 2.84959 | − | 2.27247i | ||||
\(341\) | −4767.75 | + | 63621.2i | −0.0410020 | + | 0.547133i | ||||
\(342\) | −243694. | − | 117357.i | −2.08349 | − | 1.00336i | ||||
\(343\) | 131515.i | 1.11785i | ||||||||
\(344\) | 188191. | + | 247883.i | 1.59031 | + | 2.09474i | ||||
\(345\) | −39204.5 | −0.329381 | ||||||||
\(346\) | −148698. | + | 308775.i | −1.24209 | + | 2.57923i | ||||
\(347\) | −95020.3 | − | 7120.79i | −0.789146 | − | 0.0591384i | −0.325942 | − | 0.945390i | \(-0.605681\pi\) |
−0.463205 | + | 0.886251i | \(0.653300\pi\) | |||||||
\(348\) | 167744. | + | 210344.i | 1.38512 | + | 1.73689i | ||||
\(349\) | 29119.1 | − | 94401.8i | 0.239071 | − | 0.775050i | −0.753931 | − | 0.656954i | \(-0.771845\pi\) |
0.993002 | − | 0.118096i | \(-0.0376791\pi\) | |||||||
\(350\) | 56944.1 | − | 98630.0i | 0.464849 | − | 0.805143i | ||||
\(351\) | 16269.6 | − | 9393.24i | 0.132057 | − | 0.0762432i | ||||
\(352\) | 200606. | − | 45787.0i | 1.61904 | − | 0.369536i | ||||
\(353\) | −30223.9 | − | 4555.53i | −0.242550 | − | 0.0365586i | 0.0266420 | − | 0.999645i | \(-0.491519\pi\) |
−0.269192 | + | 0.963086i | \(0.586757\pi\) | |||||||
\(354\) | 232599. | + | 215820.i | 1.85610 | + | 1.72221i | ||||
\(355\) | −103875. | + | 130256.i | −0.824244 | + | 1.03357i | ||||
\(356\) | 107502. | + | 157677.i | 0.848237 | + | 1.24414i | ||||
\(357\) | −413290. | + | 383477.i | −3.24279 | + | 3.00887i | ||||
\(358\) | −17118.0 | − | 228423.i | −0.133563 | − | 1.78227i | ||||
\(359\) | −63645.3 | + | 162166.i | −0.493830 | + | 1.25826i | 0.439177 | + | 0.898400i | \(0.355270\pi\) |
−0.933007 | + | 0.359858i | \(0.882825\pi\) | |||||||
\(360\) | −77821.5 | + | 340958.i | −0.600475 | + | 2.63085i | ||||
\(361\) | −3607.24 | + | 1112.69i | −0.0276797 | + | 0.00853805i | ||||
\(362\) | 20753.4 | − | 30439.6i | 0.158370 | − | 0.232285i | ||||
\(363\) | 6676.78 | + | 44297.5i | 0.0506703 | + | 0.336176i | ||||
\(364\) | 214827. | − | 84313.2i | 1.62138 | − | 0.636346i | ||||
\(365\) | 36052.7 | − | 17362.1i | 0.270615 | − | 0.130321i | ||||
\(366\) | −79826.5 | − | 165762.i | −0.595916 | − | 1.23743i | ||||
\(367\) | 59704.5 | + | 152125.i | 0.443277 | + | 1.12945i | 0.961646 | + | 0.274294i | \(0.0884441\pi\) |
−0.518369 | + | 0.855157i | \(0.673461\pi\) | |||||||
\(368\) | −86633.5 | + | 13057.9i | −0.639720 | + | 0.0964223i | ||||
\(369\) | 218598. | + | 149038.i | 1.60544 | + | 1.09457i | ||||
\(370\) | 18391.7 | + | 59624.4i | 0.134344 | + | 0.435532i | ||||
\(371\) | 85556.0 | + | 19527.6i | 0.621588 | + | 0.141873i | ||||
\(372\) | −290985. | − | 114203.i | −2.10273 | − | 0.825262i | ||||
\(373\) | 133651. | − | 10015.7i | 0.960625 | − | 0.0719889i | 0.414822 | − | 0.909903i | \(-0.363844\pi\) |
0.545803 | + | 0.837914i | \(0.316225\pi\) | |||||||
\(374\) | −279609. | − | 301347.i | −1.99898 | − | 2.15439i | ||||
\(375\) | −188884. | + | 128779.i | −1.34317 | + | 0.915760i | ||||
\(376\) | −210833. | − | 168134.i | −1.49130 | − | 1.18927i | ||||
\(377\) | −26063.1 | + | 28089.4i | −0.183377 | + | 0.197633i | ||||
\(378\) | 22404.4 | − | 148643.i | 0.156801 | − | 1.04031i | ||||
\(379\) | 19092.9 | + | 83651.6i | 0.132921 | + | 0.582365i | 0.996889 | + | 0.0788185i | \(0.0251148\pi\) |
−0.863968 | + | 0.503547i | \(0.832028\pi\) | |||||||
\(380\) | 147667. | + | 255766.i | 1.02262 | + | 1.77123i | ||||
\(381\) | −31268.2 | − | 18052.7i | −0.215404 | − | 0.124363i | ||||
\(382\) | −199033. | − | 61393.5i | −1.36395 | − | 0.420723i | ||||
\(383\) | 19986.0 | − | 15938.3i | 0.136248 | − | 0.108654i | −0.552995 | − | 0.833185i | \(-0.686515\pi\) |
0.689242 | + | 0.724531i | \(0.257944\pi\) | |||||||
\(384\) | −929.310 | + | 12400.8i | −0.00630228 | + | 0.0840981i | ||||
\(385\) | 160048. | + | 77075.0i | 1.07976 | + | 0.519987i | ||||
\(386\) | − | 305441.i | − | 2.04999i | ||||||
\(387\) | 50185.1 | + | 177623.i | 0.335083 | + | 1.18598i | ||||
\(388\) | −386306. | −2.56607 | ||||||||
\(389\) | 26426.8 | − | 54875.8i | 0.174641 | − | 0.362645i | −0.795214 | − | 0.606329i | \(-0.792642\pi\) |
0.969855 | + | 0.243684i | \(0.0783559\pi\) | |||||||
\(390\) | −153258. | − | 11485.1i | −1.00762 | − | 0.0755104i | ||||
\(391\) | 45625.7 | + | 57212.8i | 0.298439 | + | 0.374231i | ||||
\(392\) | 200425. | − | 649762.i | 1.30431 | − | 4.22846i | ||||
\(393\) | 103705. | − | 179623.i | 0.671454 | − | 1.16299i | ||||
\(394\) | −160208. | + | 92496.1i | −1.03203 | + | 0.595842i | ||||
\(395\) | 52117.5 | − | 11895.5i | 0.334033 | − | 0.0762409i | ||||
\(396\) | 406762. | + | 61309.6i | 2.59388 | + | 0.390965i | ||||
\(397\) | −219449. | − | 203619.i | −1.39236 | − | 1.29192i | −0.909178 | − | 0.416407i | \(-0.863289\pi\) |
−0.483185 | − | 0.875518i | \(-0.660520\pi\) | |||||||
\(398\) | 44812.9 | − | 56193.6i | 0.282902 | − | 0.354749i | ||||
\(399\) | −222618. | − | 326520.i | −1.39834 | − | 2.05099i | ||||
\(400\) | −87935.9 | + | 81592.6i | −0.549599 | + | 0.509954i | ||||
\(401\) | 16815.3 | + | 224384.i | 0.104572 | + | 1.39541i | 0.764761 | + | 0.644314i | \(0.222857\pi\) |
−0.660189 | + | 0.751100i | \(0.729524\pi\) | |||||||
\(402\) | 83934.7 | − | 213862.i | 0.519385 | − | 1.32337i | ||||
\(403\) | 9906.97 | − | 43405.3i | 0.0610001 | − | 0.267259i | ||||
\(404\) | −649543. | + | 200357.i | −3.97965 | + | 1.22756i | ||||
\(405\) | 54892.7 | − | 80512.7i | 0.334660 | − | 0.490856i | ||||
\(406\) | 45697.8 | + | 303185.i | 0.277232 | + | 1.83931i | ||||
\(407\) | 40108.7 | − | 15741.5i | 0.242131 | − | 0.0950293i | ||||
\(408\) | 1.06537e6 | − | 513056.i | 6.40001 | − | 3.08208i | ||||
\(409\) | −28609.2 | − | 59407.7i | −0.171025 | − | 0.355137i | 0.797785 | − | 0.602942i | \(-0.206005\pi\) |
−0.968810 | + | 0.247805i | \(0.920291\pi\) | |||||||
\(410\) | −149119. | − | 379950.i | −0.887088 | − | 2.26026i | ||||
\(411\) | 90991.6 | − | 13714.8i | 0.538663 | − | 0.0811905i | ||||
\(412\) | 304670. | + | 207721.i | 1.79488 | + | 1.22373i | ||||
\(413\) | 75437.3 | + | 244562.i | 0.442269 | + | 1.43380i | ||||
\(414\) | −100869. | − | 23022.6i | −0.588512 | − | 0.134324i | ||||
\(415\) | −16225.2 | − | 6367.91i | −0.0942092 | − | 0.0369744i | ||||
\(416\) | −143188. | + | 10730.5i | −0.827409 | + | 0.0620058i | ||||
\(417\) | 74363.6 | + | 80144.9i | 0.427650 | + | 0.460897i | ||||
\(418\) | 238080. | − | 162320.i | 1.36261 | − | 0.929009i | ||||
\(419\) | 18807.5 | + | 14998.5i | 0.107128 | + | 0.0854317i | 0.675589 | − | 0.737279i | \(-0.263889\pi\) |
−0.568461 | + | 0.822710i | \(0.692461\pi\) | |||||||
\(420\) | −591998. | + | 638022.i | −3.35600 | + | 3.61691i | ||||
\(421\) | −1788.02 | + | 11862.7i | −0.0100881 | + | 0.0669299i | −0.993308 | − | 0.115492i | \(-0.963156\pi\) |
0.983220 | + | 0.182422i | \(0.0583936\pi\) | |||||||
\(422\) | 91348.1 | + | 400222.i | 0.512950 | + | 2.24738i | ||||
\(423\) | −79964.7 | − | 138503.i | −0.446907 | − | 0.774066i | ||||
\(424\) | −159397. | − | 92027.9i | −0.886642 | − | 0.511903i | ||||
\(425\) | 95744.1 | + | 29533.1i | 0.530071 | + | 0.163505i | ||||
\(426\) | −622676. | + | 496568.i | −3.43118 | + | 2.73627i | ||||
\(427\) | 11089.7 | − | 147982.i | 0.0608227 | − | 0.811622i | ||||
\(428\) | −31788.2 | − | 15308.4i | −0.173531 | − | 0.0835683i | ||||
\(429\) | 106128.i | 0.576652i | ||||||||
\(430\) | 90395.8 | − | 270027.i | 0.488890 | − | 1.46039i | ||||
\(431\) | −122620. | −0.660098 | −0.330049 | − | 0.943964i | \(-0.607065\pi\) | ||||
−0.330049 | + | 0.943964i | \(0.607065\pi\) | |||||||
\(432\) | −68699.0 | + | 142655.i | −0.368114 | + | 0.764397i | ||||
\(433\) | −115902. | − | 8685.64i | −0.618180 | − | 0.0463262i | −0.238040 | − | 0.971255i | \(-0.576505\pi\) |
−0.380139 | + | 0.924929i | \(0.624124\pi\) | |||||||
\(434\) | −222115. | − | 278523.i | −1.17923 | − | 1.47871i | ||||
\(435\) | 42596.4 | − | 138094.i | 0.225110 | − | 0.729788i | ||||
\(436\) | −200219. | + | 346789.i | −1.05325 | + | 1.82428i | ||||
\(437\) | −44421.8 | + | 25646.9i | −0.232612 | + | 0.134299i | ||||
\(438\) | 186495. | − | 42566.2i | 0.972117 | − | 0.221879i | ||||
\(439\) | 244563. | + | 36861.9i | 1.26900 | + | 0.191271i | 0.748812 | − | 0.662782i | \(-0.230624\pi\) |
0.520186 | + | 0.854053i | \(0.325863\pi\) | |||||||
\(440\) | −273116. | − | 253414.i | −1.41072 | − | 1.30896i | ||||
\(441\) | 251433. | − | 315287.i | 1.29284 | − | 1.62117i | ||||
\(442\) | 161599. | + | 237023.i | 0.827170 | + | 1.21324i | ||||
\(443\) | −55661.5 | + | 51646.3i | −0.283627 | + | 0.263167i | −0.809137 | − | 0.587620i | \(-0.800065\pi\) |
0.525510 | + | 0.850787i | \(0.323875\pi\) | |||||||
\(444\) | 15776.3 | + | 210520.i | 0.0800273 | + | 1.06789i | ||||
\(445\) | 37450.3 | − | 95421.8i | 0.189119 | − | 0.481867i | ||||
\(446\) | 105567. | − | 462520.i | 0.530712 | − | 2.32520i | ||||
\(447\) | 211340. | − | 65189.8i | 1.05771 | − | 0.326261i | ||||
\(448\) | −194800. | + | 285718.i | −0.970581 | + | 1.42358i | ||||
\(449\) | −41991.5 | − | 278595.i | −0.208290 | − | 1.38192i | −0.811509 | − | 0.584340i | \(-0.801354\pi\) |
0.603219 | − | 0.797576i | \(-0.293884\pi\) | |||||||
\(450\) | −131869. | + | 51754.7i | −0.651204 | + | 0.255579i | ||||
\(451\) | −253941. | + | 122292.i | −1.24848 | + | 0.601235i | ||||
\(452\) | −235331. | − | 488670.i | −1.15187 | − | 2.39188i | ||||
\(453\) | 127184. | + | 324058.i | 0.619776 | + | 1.57916i | ||||
\(454\) | −147397. | + | 22216.6i | −0.715119 | + | 0.107787i | ||||
\(455\) | −102423. | − | 69830.8i | −0.494737 | − | 0.337306i | ||||
\(456\) | 244308. | + | 792027.i | 1.17492 | + | 3.80899i | ||||
\(457\) | 206160. | + | 47054.6i | 0.987122 | + | 0.225304i | 0.685460 | − | 0.728110i | \(-0.259601\pi\) |
0.301663 | + | 0.953415i | \(0.402458\pi\) | |||||||
\(458\) | 24479.9 | + | 9607.64i | 0.116702 | + | 0.0458021i | ||||
\(459\) | 131880. | − | 9883.01i | 0.625968 | − | 0.0469098i | ||||
\(460\) | 76838.8 | + | 82812.6i | 0.363133 | + | 0.391364i | ||||
\(461\) | −85220.2 | + | 58102.1i | −0.400997 | + | 0.273395i | −0.746981 | − | 0.664845i | \(-0.768497\pi\) |
0.345984 | + | 0.938240i | \(0.387545\pi\) | |||||||
\(462\) | 663926. | + | 529463.i | 3.11054 | + | 2.48057i | ||||
\(463\) | −1886.56 | + | 2033.23i | −0.00880051 | + | 0.00948470i | −0.737437 | − | 0.675416i | \(-0.763964\pi\) |
0.728636 | + | 0.684901i | \(0.240155\pi\) | |||||||
\(464\) | 48133.6 | − | 319346.i | 0.223569 | − | 1.48329i | ||||
\(465\) | 37363.2 | + | 163699.i | 0.172798 | + | 0.757077i | ||||
\(466\) | 179534. | + | 310963.i | 0.826753 | + | 1.43198i | ||||
\(467\) | 307741. | + | 177674.i | 1.41108 | + | 0.814687i | 0.995490 | − | 0.0948652i | \(-0.0302420\pi\) |
0.415589 | + | 0.909552i | \(0.363575\pi\) | |||||||
\(468\) | −274305. | − | 84612.0i | −1.25240 | − | 0.386314i | ||||
\(469\) | 144880. | − | 115538.i | 0.658662 | − | 0.525265i | ||||
\(470\) | −18438.2 | + | 246041.i | −0.0834686 | + | 1.11381i | ||||
\(471\) | −382583. | − | 184242.i | −1.72458 | − | 0.830516i | ||||
\(472\) | − | 536780.i | − | 2.40942i | ||||||
\(473\) | −190607. | − | 48312.8i | −0.851956 | − | 0.215943i | ||||
\(474\) | 255551. | 1.13742 | ||||||||
\(475\) | −30472.4 | + | 63276.5i | −0.135058 | + | 0.280450i | ||||
\(476\) | 1.62005e6 | + | 121406.i | 7.15015 | + | 0.535830i | ||||
\(477\) | −68058.2 | − | 85342.3i | −0.299119 | − | 0.375083i | ||||
\(478\) | −41585.6 | + | 134817.i | −0.182007 | + | 0.590051i | ||||
\(479\) | 37375.0 | − | 64735.5i | 0.162896 | − | 0.282144i | −0.773010 | − | 0.634394i | \(-0.781250\pi\) |
0.935906 | + | 0.352249i | \(0.114583\pi\) | |||||||
\(480\) | 468984. | − | 270768.i | 2.03552 | − | 1.17521i | ||||
\(481\) | −29313.8 | + | 6690.68i | −0.126702 | + | 0.0289188i | ||||
\(482\) | −544540. | − | 82076.2i | −2.34388 | − | 0.353283i | ||||
\(483\) | −110813. | − | 102819.i | −0.475001 | − | 0.440737i | ||||
\(484\) | 80484.5 | − | 100924.i | 0.343575 | − | 0.430829i | ||||
\(485\) | 116891. | + | 171448.i | 0.496933 | + | 0.728867i | ||||
\(486\) | 452694. | − | 420039.i | 1.91660 | − | 1.77835i | ||||
\(487\) | −30594.2 | − | 408252.i | −0.128998 | − | 1.72135i | −0.568137 | − | 0.822934i | \(-0.692336\pi\) |
0.439140 | − | 0.898419i | \(-0.355283\pi\) | |||||||
\(488\) | −113709. | + | 289726.i | −0.477481 | + | 1.21660i | ||||
\(489\) | −5831.64 | + | 25550.1i | −0.0243878 | + | 0.106850i | ||||
\(490\) | −594499. | + | 183379.i | −2.47605 | + | 0.763760i | ||||
\(491\) | −193495. | + | 283804.i | −0.802612 | + | 1.17722i | 0.178531 | + | 0.983934i | \(0.442865\pi\) |
−0.981143 | + | 0.193282i | \(0.938087\pi\) | |||||||
\(492\) | −205823. | − | 1.36555e6i | −0.850284 | − | 5.64127i | ||||
\(493\) | −251100. | + | 98549.4i | −1.03312 | + | 0.405471i | ||||
\(494\) | −181167. | + | 87245.4i | −0.742378 | + | 0.357510i | ||||
\(495\) | −95870.9 | − | 199078.i | −0.391270 | − | 0.812480i | ||||
\(496\) | 137088. | + | 349295.i | 0.557232 | + | 1.41980i | ||||
\(497\) | −635218. | + | 95743.8i | −2.57164 | + | 0.387612i | ||||
\(498\) | −68844.7 | − | 46937.5i | −0.277595 | − | 0.189261i | ||||
\(499\) | −48700.0 | − | 157882.i | −0.195582 | − | 0.634060i | −0.999240 | − | 0.0389697i | \(-0.987592\pi\) |
0.803659 | − | 0.595090i | \(-0.202884\pi\) | |||||||
\(500\) | 642225. | + | 146584.i | 2.56890 | + | 0.586334i | ||||
\(501\) | 117064. | + | 45944.3i | 0.466389 | + | 0.183044i | ||||
\(502\) | 454469. | − | 34057.7i | 1.80342 | − | 0.135148i | ||||
\(503\) | 114050. | + | 122916.i | 0.450773 | + | 0.485817i | 0.917022 | − | 0.398836i | \(-0.130586\pi\) |
−0.466250 | + | 0.884653i | \(0.654395\pi\) | |||||||
\(504\) | −1.11417e6 | + | 759630.i | −4.38623 | + | 2.99048i | ||||
\(505\) | 285464. | + | 227650.i | 1.11936 | + | 0.892658i | ||||
\(506\) | 74969.7 | − | 80798.2i | 0.292809 | − | 0.315573i | ||||
\(507\) | −46203.7 | + | 306542.i | −0.179747 | + | 1.19254i | ||||
\(508\) | 23150.9 | + | 101431.i | 0.0897101 | + | 0.393046i | ||||
\(509\) | −183633. | − | 318061.i | −0.708784 | − | 1.22765i | −0.965308 | − | 0.261113i | \(-0.915911\pi\) |
0.256524 | − | 0.966538i | \(-0.417423\pi\) | |||||||
\(510\) | −936955. | − | 540951.i | −3.60229 | − | 2.07978i | ||||
\(511\) | 147438. | + | 45478.7i | 0.564635 | + | 0.174167i | ||||
\(512\) | −370811. | + | 295712.i | −1.41453 | + | 1.12805i | ||||
\(513\) | −6927.46 | + | 92440.5i | −0.0263232 | + | 0.351259i | ||||
\(514\) | 740889. | + | 356794.i | 2.80432 | + | 1.35049i | ||||
\(515\) | − | 198070.i | − | 0.746800i | ||||||
\(516\) | 501469. | − | 822637.i | 1.88341 | − | 3.08965i | ||||
\(517\) | 170377. | 0.637426 | ||||||||
\(518\) | −104388. | + | 216764.i | −0.389038 | + | 0.807845i | ||||
\(519\) | 621098. | + | 46544.9i | 2.30582 | + | 0.172797i | ||||
\(520\) | 162104. | + | 203272.i | 0.599496 | + | 0.751744i | ||||
\(521\) | 51349.7 | − | 166472.i | 0.189175 | − | 0.613289i | −0.810448 | − | 0.585811i | \(-0.800776\pi\) |
0.999622 | − | 0.0274780i | \(-0.00874762\pi\) | |||||||
\(522\) | 190690. | − | 330286.i | 0.699823 | − | 1.21213i | ||||
\(523\) | 38472.7 | − | 22212.2i | 0.140653 | − | 0.0812060i | −0.428022 | − | 0.903768i | \(-0.640789\pi\) |
0.568675 | + | 0.822562i | \(0.307456\pi\) | |||||||
\(524\) | −582679. | + | 132993.i | −2.12210 | + | 0.484356i | ||||
\(525\) | −204665. | − | 30848.3i | −0.742549 | − | 0.111921i | ||||
\(526\) | −232340. | − | 215580.i | −0.839755 | − | 0.779179i | ||||
\(527\) | 195410. | − | 245037.i | 0.703600 | − | 0.882287i | ||||
\(528\) | −503866. | − | 739035.i | −1.80737 | − | 2.65092i | ||||
\(529\) | 190755. | − | 176995.i | 0.681655 | − | 0.632483i | ||||
\(530\) | 12584.7 | + | 167931.i | 0.0448012 | + | 0.597831i | ||||
\(531\) | 116304. | − | 296339.i | 0.412484 | − | 1.05099i | ||||
\(532\) | −253397. | + | 1.11020e6i | −0.895319 | + | 3.92265i | ||||
\(533\) | 187949. | − | 57974.5i | 0.661584 | − | 0.204072i | ||||
\(534\) | 276044. | − | 404882.i | 0.968045 | − | 1.41986i | ||||
\(535\) | 2824.62 | + | 18740.1i | 0.00986852 | + | 0.0654734i | ||||
\(536\) | −361790. | + | 141992.i | −1.25930 | + | 0.494237i | ||||
\(537\) | −375068. | + | 180623.i | −1.30065 | + | 0.626361i | ||||
\(538\) | 252688. | + | 524711.i | 0.873011 | + | 1.81283i | ||||
\(539\) | 156955. | + | 399914.i | 0.540252 | + | 1.37654i | ||||
\(540\) | 201882. | − | 30428.8i | 0.692324 | − | 0.104351i | ||||
\(541\) | −270306. | − | 184292.i | −0.923552 | − | 0.629667i | 0.00535298 | − | 0.999986i | \(-0.498296\pi\) |
−0.928905 | + | 0.370319i | \(0.879248\pi\) | |||||||
\(542\) | 234760. | + | 761073.i | 0.799145 | + | 2.59076i | ||||
\(543\) | −65275.4 | − | 14898.7i | −0.221386 | − | 0.0505299i | ||||
\(544\) | −940940. | − | 369292.i | −3.17954 | − | 1.24788i | ||||
\(545\) | 214493. | − | 16074.0i | 0.722137 | − | 0.0541167i | ||||
\(546\) | −403067. | − | 434403.i | −1.35205 | − | 1.45716i | ||||
\(547\) | 36468.4 | − | 24863.8i | 0.121883 | − | 0.0830983i | −0.500844 | − | 0.865537i | \(-0.666977\pi\) |
0.622727 | + | 0.782439i | \(0.286025\pi\) | |||||||
\(548\) | −207309. | − | 165323.i | −0.690330 | − | 0.550519i | ||||
\(549\) | −125550. | + | 135311.i | −0.416556 | + | 0.448940i | ||||
\(550\) | 22492.8 | − | 149230.i | 0.0743564 | − | 0.493323i | ||||
\(551\) | −42073.7 | − | 184337.i | −0.138582 | − | 0.607169i | ||||
\(552\) | 158524. | + | 274572.i | 0.520256 | + | 0.901111i | ||||
\(553\) | 178509. | + | 103062.i | 0.583727 | + | 0.337015i | ||||
\(554\) | −765146. | − | 236016.i | −2.49301 | − | 0.768993i | ||||
\(555\) | 88657.7 | − | 70702.2i | 0.287826 | − | 0.229534i | ||||
\(556\) | 23543.0 | − | 314159.i | 0.0761574 | − | 1.01625i | ||||
\(557\) | −556305. | − | 267903.i | −1.79309 | − | 0.863508i | −0.939483 | − | 0.342596i | \(-0.888694\pi\) |
−0.853610 | − | 0.520912i | \(-0.825592\pi\) | |||||||
\(558\) | 443120.i | 1.42316i | ||||||||
\(559\) | 126502. | + | 53162.1i | 0.404830 | + | 0.170129i | ||||
\(560\) | 1.04478e6 | 3.33156 | ||||||||
\(561\) | −324153. | + | 673110.i | −1.02997 | + | 2.13875i | ||||
\(562\) | −296102. | − | 22189.8i | −0.937494 | − | 0.0702555i | ||||
\(563\) | −332589. | − | 417054.i | −1.04928 | − | 1.31575i | −0.947082 | − | 0.320991i | \(-0.895984\pi\) |
−0.102197 | − | 0.994764i | \(-0.532587\pi\) | |||||||
\(564\) | −246056. | + | 797693.i | −0.773527 | + | 2.50771i | ||||
\(565\) | −145670. | + | 252308.i | −0.456325 | + | 0.790377i | ||||
\(566\) | 345517. | − | 199484.i | 1.07854 | − | 0.622696i | ||||
\(567\) | 366311. | − | 83608.0i | 1.13942 | − | 0.260065i | ||||
\(568\) | 1.33228e6 | + | 200808.i | 4.12950 | + | 0.622422i | ||||
\(569\) | 341930. | + | 317265.i | 1.05612 | + | 0.979935i | 0.999829 | − | 0.0184798i | \(-0.00588263\pi\) |
0.0562892 | + | 0.998415i | \(0.482073\pi\) | |||||||
\(570\) | 472827. | − | 592906.i | 1.45530 | − | 1.82489i | ||||
\(571\) | −58314.7 | − | 85532.0i | −0.178857 | − | 0.262335i | 0.726332 | − | 0.687344i | \(-0.241223\pi\) |
−0.905189 | + | 0.425009i | \(0.860271\pi\) | |||||||
\(572\) | 224175. | − | 208004.i | 0.685166 | − | 0.635742i | ||||
\(573\) | 28287.9 | + | 377475.i | 0.0861571 | + | 1.14969i | ||||
\(574\) | 574979. | − | 1.46502e6i | 1.74513 | − | 4.44653i | ||||
\(575\) | −5977.96 | + | 26191.2i | −0.0180808 | + | 0.0792171i | ||||
\(576\) | 411026. | − | 126785.i | 1.23887 | − | 0.382140i | ||||
\(577\) | −302042. | + | 443014.i | −0.907227 | + | 1.33066i | 0.0362929 | + | 0.999341i | \(0.488445\pi\) |
−0.943520 | + | 0.331316i | \(0.892507\pi\) | |||||||
\(578\) | 208876. | + | 1.38580e6i | 0.625221 | + | 4.14807i | ||||
\(579\) | −516727. | + | 202800.i | −1.54136 | + | 0.604939i | ||||
\(580\) | −375186. | + | 180680.i | −1.11530 | + | 0.537099i | ||||
\(581\) | −29160.2 | − | 60551.7i | −0.0863849 | − | 0.179380i | ||||
\(582\) | 362402. | + | 923386.i | 1.06990 | + | 2.72607i | ||||
\(583\) | 114989. | − | 17331.8i | 0.338313 | − | 0.0509925i | ||||
\(584\) | −267376. | − | 182294.i | −0.783966 | − | 0.534499i | ||||
\(585\) | 45449.2 | + | 147343.i | 0.132805 | + | 0.430544i | ||||
\(586\) | −608234. | − | 138825.i | −1.77123 | − | 0.404272i | ||||
\(587\) | 152264. | + | 59759.3i | 0.441898 | + | 0.173432i | 0.575849 | − | 0.817556i | \(-0.304671\pi\) |
−0.133952 | + | 0.990988i | \(0.542767\pi\) | |||||||
\(588\) | −2.09904e6 | + | 157301.i | −6.07107 | + | 0.454964i | ||||
\(589\) | 149424. | + | 161041.i | 0.430716 | + | 0.464202i | ||||
\(590\) | −405787. | + | 276661.i | −1.16572 | + | 0.794775i | ||||
\(591\) | 262851. | + | 209617.i | 0.752550 | + | 0.600138i | ||||
\(592\) | 172365. | − | 185766.i | 0.491821 | − | 0.530056i | ||||
\(593\) | 36320.4 | − | 240970.i | 0.103286 | − | 0.685258i | −0.875930 | − | 0.482438i | \(-0.839751\pi\) |
0.979216 | − | 0.202820i | \(-0.0650106\pi\) | |||||||
\(594\) | −44325.2 | − | 194201.i | −0.125626 | − | 0.550401i | ||||
\(595\) | −436325. | − | 755737.i | −1.23247 | − | 2.13470i | ||||
\(596\) | −551918. | − | 318650.i | −1.55375 | − | 0.897059i | ||||
\(597\) | −124819. | − | 38501.6i | −0.350213 | − | 0.108026i | ||||
\(598\) | −60135.6 | + | 47956.5i | −0.168163 | + | 0.134105i | ||||
\(599\) | −24437.2 | + | 326092.i | −0.0681079 | + | 0.908837i | 0.853594 | + | 0.520939i | \(0.174418\pi\) |
−0.921702 | + | 0.387899i | \(0.873201\pi\) | |||||||
\(600\) | 391114. | + | 188350.i | 1.08643 | + | 0.523196i | ||||
\(601\) | − | 637683.i | − | 1.76545i | −0.469888 | − | 0.882726i | \(-0.655706\pi\) | ||
0.469888 | − | 0.882726i | \(-0.344294\pi\) | |||||||
\(602\) | 963686. | − | 526162.i | 2.65915 | − | 1.45187i | ||||
\(603\) | −230498. | −0.633918 | ||||||||
\(604\) | 435242. | − | 903790.i | 1.19305 | − | 2.47739i | ||||
\(605\) | −69145.1 | − | 5181.71i | −0.188908 | − | 0.0141567i | ||||
\(606\) | 1.08826e6 | + | 1.36464e6i | 2.96339 | + | 3.71597i | ||||
\(607\) | 10979.5 | − | 35594.6i | 0.0297992 | − | 0.0966066i | −0.939452 | − | 0.342682i | \(-0.888665\pi\) |
0.969251 | + | 0.246075i | \(0.0791410\pi\) | |||||||
\(608\) | 354263. | − | 613602.i | 0.958338 | − | 1.65989i | ||||
\(609\) | 482570. | − | 278612.i | 1.30114 | − | 0.751216i | ||||
\(610\) | 277630. | − | 63367.2i | 0.746117 | − | 0.170296i | ||||
\(611\) | −117567. | − | 17720.3i | −0.314922 | − | 0.0474668i | ||||
\(612\) | −1.48133e6 | − | 1.37448e6i | −3.95503 | − | 3.66974i | ||||
\(613\) | −125912. | + | 157889.i | −0.335078 | + | 0.420175i | −0.920615 | − | 0.390471i | \(-0.872312\pi\) |
0.585537 | + | 0.810646i | \(0.300884\pi\) | |||||||
\(614\) | 518776. | + | 760905.i | 1.37608 | + | 2.01834i | ||||
\(615\) | −543768. | + | 504543.i | −1.43769 | + | 1.33398i | ||||
\(616\) | −107356. | − | 1.43256e6i | −0.282920 | − | 3.77531i | ||||
\(617\) | −20430.8 | + | 52056.8i | −0.0536679 | + | 0.136744i | −0.955193 | − | 0.295982i | \(-0.904353\pi\) |
0.901525 | + | 0.432726i | \(0.142448\pi\) | |||||||
\(618\) | 210696. | − | 923119.i | 0.551670 | − | 2.41702i | ||||
\(619\) | −573070. | + | 176769.i | −1.49564 | + | 0.461343i | −0.931316 | − | 0.364212i | \(-0.881338\pi\) |
−0.564322 | + | 0.825555i | \(0.690862\pi\) | |||||||
\(620\) | 272555. | − | 399765.i | 0.709040 | − | 1.03997i | ||||
\(621\) | 5284.90 | + | 35063.1i | 0.0137042 | + | 0.0909215i | ||||
\(622\) | −881642. | + | 346019.i | −2.27883 | + | 0.894374i | ||||
\(623\) | 356110. | − | 171494.i | 0.917505 | − | 0.441847i | ||||
\(624\) | 270822. | + | 562368.i | 0.695529 | + | 1.44428i | ||||
\(625\) | −85480.0 | − | 217800.i | −0.218829 | − | 0.557567i | ||||
\(626\) | 1.37797e6 | − | 207695.i | 3.51633 | − | 0.530002i | ||||
\(627\) | −432680. | − | 294996.i | −1.10060 | − | 0.750379i | ||||
\(628\) | 360664. | + | 1.16924e6i | 0.914500 | + | 2.96474i | ||||
\(629\) | −206357. | − | 47099.7i | −0.521577 | − | 0.119047i | ||||
\(630\) | 1.14851e6 | + | 450756.i | 2.89370 | + | 1.13569i | ||||
\(631\) | 419790. | − | 31458.9i | 1.05432 | − | 0.0790106i | 0.463727 | − | 0.885978i | \(-0.346512\pi\) |
0.590596 | + | 0.806967i | \(0.298893\pi\) | |||||||
\(632\) | −294049. | − | 316909.i | −0.736183 | − | 0.793416i | ||||
\(633\) | 616422. | − | 420269.i | 1.53840 | − | 1.04887i | ||||
\(634\) | −460278. | − | 367060.i | −1.14510 | − | 0.913184i | ||||
\(635\) | 38011.2 | − | 40966.3i | 0.0942680 | − | 0.101597i | ||||
\(636\) | −84918.9 | + | 563400.i | −0.209938 | + | 1.39284i | ||||
\(637\) | −66711.1 | − | 292280.i | −0.164407 | − | 0.720312i | ||||
\(638\) | 203148. | + | 351862.i | 0.499081 | + | 0.864433i | ||||
\(639\) | 691998. | + | 399525.i | 1.69474 | + | 0.978458i | ||||
\(640\) | −18392.8 | − | 5673.44i | −0.0449044 | − | 0.0138512i | ||||
\(641\) | 426886. | − | 340430.i | 1.03895 | − | 0.828537i | 0.0535134 | − | 0.998567i | \(-0.482958\pi\) |
0.985439 | + | 0.170030i | \(0.0543866\pi\) | |||||||
\(642\) | −6770.36 | + | 90344.2i | −0.0164264 | + | 0.219195i | ||||
\(643\) | −467088. | − | 224938.i | −1.12974 | − | 0.544052i | −0.226848 | − | 0.973930i | \(-0.572842\pi\) |
−0.902887 | + | 0.429878i | \(0.858556\pi\) | |||||||
\(644\) | 435592.i | 1.05029i | ||||||||
\(645\) | −516835. | + | 26360.5i | −1.24232 | + | 0.0633627i | ||||
\(646\) | −1.41552e6 | −3.39197 | ||||||||
\(647\) | 6484.08 | − | 13464.3i | 0.0154896 | − | 0.0321644i | −0.893081 | − | 0.449897i | \(-0.851461\pi\) |
0.908570 | + | 0.417732i | \(0.137175\pi\) | |||||||
\(648\) | −785837. | − | 58890.3i | −1.87147 | − | 0.140247i | ||||
\(649\) | 211451. | + | 265151.i | 0.502020 | + | 0.629513i | ||||
\(650\) | −31041.8 | + | 100635.i | −0.0734718 | + | 0.238190i | ||||
\(651\) | −323714. | + | 560689.i | −0.763835 | + | 1.32300i | ||||
\(652\) | 65399.7 | − | 37758.5i | 0.153844 | − | 0.0888219i | ||||
\(653\) | 239945. | − | 54765.8i | 0.562710 | − | 0.128435i | 0.0683017 | − | 0.997665i | \(-0.478242\pi\) |
0.494408 | + | 0.869230i | \(0.335385\pi\) | |||||||
\(654\) | 1.01676e6 | + | 153251.i | 2.37718 | + | 0.358302i | ||||
\(655\) | 235335. | + | 218359.i | 0.548534 | + | 0.508965i | ||||
\(656\) | −1.03356e6 | + | 1.29604e6i | −2.40175 | + | 3.01170i | ||||
\(657\) | −108112. | − | 158571.i | −0.250463 | − | 0.367362i | ||||
\(658\) | −697390. | + | 647084.i | −1.61073 | + | 1.49454i | ||||
\(659\) | −29541.2 | − | 394200.i | −0.0680233 | − | 0.907708i | −0.921949 | − | 0.387312i | \(-0.873404\pi\) |
0.853925 | − | 0.520396i | \(-0.174216\pi\) | |||||||
\(660\) | −421362. | + | 1.07361e6i | −0.967315 | + | 2.46468i | ||||
\(661\) | 90756.5 | − | 397630.i | 0.207718 | − | 0.910074i | −0.758362 | − | 0.651833i | \(-0.774000\pi\) |
0.966081 | − | 0.258240i | \(-0.0831427\pi\) | |||||||
\(662\) | 1.07783e6 | − | 332467.i | 2.45943 | − | 0.758634i | ||||
\(663\) | 293686. | − | 430758.i | 0.668122 | − | 0.979955i | ||||
\(664\) | 21008.6 | + | 139383.i | 0.0476498 | + | 0.316136i | ||||
\(665\) | 569397. | − | 223472.i | 1.28757 | − | 0.505336i | ||||
\(666\) | 269625. | − | 129845.i | 0.607872 | − | 0.292736i | ||||
\(667\) | −31380.7 | − | 65162.8i | −0.0705361 | − | 0.146470i | ||||
\(668\) | −132390. | − | 337325.i | −0.296691 | − | 0.755955i | ||||
\(669\) | −852557. | + | 128502.i | −1.90490 | + | 0.287117i | ||||
\(670\) | 293811. | + | 200317.i | 0.654514 | + | 0.446240i | ||||
\(671\) | −57962.0 | − | 187908.i | −0.128735 | − | 0.417350i | ||||
\(672\) | 2.03572e6 | + | 464639.i | 4.50795 | + | 1.02891i | ||||
\(673\) | −427250. | − | 167683.i | −0.943304 | − | 0.370219i | −0.156678 | − | 0.987650i | \(-0.550079\pi\) |
−0.786626 | + | 0.617430i | \(0.788174\pi\) | |||||||
\(674\) | 586023. | − | 43916.3i | 1.29001 | − | 0.0966732i | ||||
\(675\) | 33022.9 | + | 35590.2i | 0.0724781 | + | 0.0781129i | ||||
\(676\) | 738071. | − | 503208.i | 1.61512 | − | 1.10117i | ||||
\(677\) | −377616. | − | 301139.i | −0.823898 | − | 0.657036i | 0.117971 | − | 0.993017i | \(-0.462361\pi\) |
−0.941869 | + | 0.335981i | \(0.890932\pi\) | |||||||
\(678\) | −947297. | + | 1.02094e6i | −2.06076 | + | 2.22097i | ||||
\(679\) | −119249. | + | 791164.i | −0.258651 | + | 1.71604i | ||||
\(680\) | 407270. | + | 1.78437e6i | 0.880774 | + | 3.85892i | ||||
\(681\) | 135451. | + | 234608.i | 0.292070 | + | 0.505880i | ||||
\(682\) | −408823. | − | 236034.i | −0.878954 | − | 0.507464i | ||||
\(683\) | 149101. | + | 45991.6i | 0.319624 | + | 0.0985909i | 0.450416 | − | 0.892819i | \(-0.351276\pi\) |
−0.130792 | + | 0.991410i | \(0.541752\pi\) | |||||||
\(684\) | 1.10743e6 | − | 883146.i | 2.36703 | − | 1.88764i | ||||
\(685\) | −10643.7 | + | 142031.i | −0.0226837 | + | 0.302693i | ||||
\(686\) | −876738. | − | 422215.i | −1.86304 | − | 0.897191i | ||||
\(687\) | − | 47792.7i | − | 0.101262i | ||||||
\(688\) | −1.13331e6 | + | 230394.i | −2.39427 | + | 0.486736i | ||||
\(689\) | −81149.5 | −0.170941 | ||||||||
\(690\) | 125862. | − | 261356.i | 0.264361 | − | 0.548952i | ||||
\(691\) | 309010. | + | 23157.1i | 0.647167 | + | 0.0484984i | 0.394270 | − | 0.918995i | \(-0.370998\pi\) |
0.252897 | + | 0.967493i | \(0.418617\pi\) | |||||||
\(692\) | −1.11900e6 | − | 1.40318e6i | −2.33679 | − | 2.93024i | ||||
\(693\) | 251127. | − | 814132.i | 0.522909 | − | 1.69523i | ||||
\(694\) | 352524. | − | 610590.i | 0.731930 | − | 1.26774i | ||||
\(695\) | −146552. | + | 84611.8i | −0.303404 | + | 0.175171i | ||||
\(696\) | −1.13939e6 | + | 260059.i | −2.35210 | + | 0.536850i | ||||
\(697\) | 1.36913e6 | + | 206364.i | 2.81825 | + | 0.424783i | ||||
\(698\) | 535843. | + | 497189.i | 1.09983 | + | 1.02050i | ||||
\(699\) | 406865. | − | 510193.i | 0.832714 | − | 1.04419i | ||||
\(700\) | 335971. | + | 492780.i | 0.685656 | + | 1.00567i | ||||
\(701\) | 7133.72 | − | 6619.12i | 0.0145171 | − | 0.0134699i | −0.672881 | − | 0.739751i | \(-0.734943\pi\) |
0.687398 | + | 0.726281i | \(0.258753\pi\) | |||||||
\(702\) | 10387.9 | + | 138617.i | 0.0210791 | + | 0.281282i | ||||
\(703\) | 54203.9 | − | 138109.i | 0.109678 | − | 0.279455i | ||||
\(704\) | −101967. | + | 446747.i | −0.205738 | + | 0.901396i | ||||
\(705\) | 428480. | − | 132169.i | 0.862089 | − | 0.265919i | ||||
\(706\) | 127400. | − | 186862.i | 0.255600 | − | 0.374897i | ||||
\(707\) | 209829. | + | 1.39213e6i | 0.419785 | + | 2.78509i | ||||
\(708\) | −1.54679e6 | + | 607072.i | −3.08579 | + | 1.21108i | ||||
\(709\) | 551918. | − | 265790.i | 1.09795 | − | 0.528745i | 0.204936 | − | 0.978775i | \(-0.434301\pi\) |
0.893013 | + | 0.450031i | \(0.148587\pi\) | |||||||
\(710\) | −534863. | − | 1.11065e6i | −1.06103 | − | 2.20324i | ||||
\(711\) | −93670.0 | − | 238667.i | −0.185294 | − | 0.472121i | ||||
\(712\) | −819725. | + | 123554.i | −1.61699 | + | 0.243722i | ||||
\(713\) | 69431.7 | + | 47337.7i | 0.136577 | + | 0.0931168i | ||||
\(714\) | −1.22961e6 | − | 3.98630e6i | −2.41197 | − | 7.81940i | ||||
\(715\) | −160148. | − | 36552.7i | −0.313263 | − | 0.0715001i | ||||
\(716\) | 1.11665e6 | + | 438252.i | 2.17816 | + | 0.854865i | ||||
\(717\) | 255687. | − | 19161.1i | 0.497360 | − | 0.0372720i | ||||
\(718\) | −876745. | − | 944906.i | −1.70069 | − | 1.83290i | ||||
\(719\) | −653542. | + | 445578.i | −1.26420 | + | 0.861917i | −0.994873 | − | 0.101132i | \(-0.967754\pi\) |
−0.269327 | + | 0.963049i | \(0.586801\pi\) | |||||||
\(720\) | −1.01604e6 | − | 810263.i | −1.95995 | − | 1.56301i | ||||
\(721\) | 519465. | − | 559850.i | 0.999277 | − | 1.07696i | ||||
\(722\) | 4163.01 | − | 27619.8i | 0.00798607 | − | 0.0529841i | ||||
\(723\) | 222701. | + | 975717.i | 0.426035 | + | 1.86658i | ||||
\(724\) | 96465.6 | + | 167083.i | 0.184033 | + | 0.318754i | ||||
\(725\) | −85760.6 | − | 49513.9i | −0.163159 | − | 0.0942001i | ||||
\(726\) | −316743. | − | 97702.4i | −0.600944 | − | 0.185367i | ||||
\(727\) | −603657. | + | 481401.i | −1.14215 | + | 0.910831i | −0.996909 | − | 0.0785660i | \(-0.974966\pi\) |
−0.145237 | + | 0.989397i | \(0.546394\pi\) | |||||||
\(728\) | −74916.4 | + | 999690.i | −0.141356 | + | 1.88626i | ||||
\(729\) | −669500. | − | 322414.i | −1.25978 | − | 0.606679i | ||||
\(730\) | 296084.i | 0.555608i | ||||||||
\(731\) | 639955. | + | 723561.i | 1.19761 | + | 1.35407i | ||||
\(732\) | 963480. | 1.79813 | ||||||||
\(733\) | −123270. | + | 255973.i | −0.229430 | + | 0.476416i | −0.983623 | − | 0.180236i | \(-0.942314\pi\) |
0.754194 | + | 0.656652i | \(0.228028\pi\) | |||||||
\(734\) | −1.20581e6 | − | 90362.9i | −2.23814 | − | 0.167725i | ||||
\(735\) | 704953. | + | 883983.i | 1.30493 | + | 1.63632i | ||||
\(736\) | 79885.3 | − | 258982.i | 0.147473 | − | 0.478094i | ||||
\(737\) | 122778. | − | 212658.i | 0.226040 | − | 0.391513i | ||||
\(738\) | −1.69534e6 | + | 978807.i | −3.11275 | + | 1.79715i | ||||
\(739\) | −897701. | + | 204894.i | −1.64378 | + | 0.375181i | −0.941577 | − | 0.336799i | \(-0.890656\pi\) |
−0.702200 | + | 0.711980i | \(0.747799\pi\) | |||||||
\(740\) | −323110. | − | 48701.0i | −0.590048 | − | 0.0889354i | ||||
\(741\) | 267884. | + | 248560.i | 0.487878 | + | 0.452684i | ||||
\(742\) | −404849. | + | 507665.i | −0.735336 | + | 0.922082i | ||||
\(743\) | −415949. | − | 610085.i | −0.753464 | − | 1.10513i | −0.991015 | − | 0.133753i | \(-0.957297\pi\) |
0.237551 | − | 0.971375i | \(-0.423655\pi\) | |||||||
\(744\) | 995400. | − | 923596.i | 1.79826 | − | 1.66854i | ||||
\(745\) | 25582.0 | + | 341367.i | 0.0460915 | + | 0.615049i | ||||
\(746\) | −362303. | + | 923134.i | −0.651020 | + | 1.65877i | ||||
\(747\) | −18602.0 | + | 81500.9i | −0.0333365 | + | 0.146057i | ||||
\(748\) | 2.05715e6 | − | 634546.i | 3.67673 | − | 1.13412i | ||||
\(749\) | −41164.5 | + | 60377.3i | −0.0733770 | + | 0.107624i | ||||
\(750\) | −252107. | − | 1.67262e6i | −0.448190 | − | 2.97355i | ||||
\(751\) | 566178. | − | 222208.i | 1.00386 | − | 0.393986i | 0.194248 | − | 0.980952i | \(-0.437773\pi\) |
0.809611 | + | 0.586967i | \(0.199678\pi\) | |||||||
\(752\) | 902826. | − | 434778.i | 1.59650 | − | 0.768833i | ||||
\(753\) | −359366. | − | 746231.i | −0.633793 | − | 1.31608i | ||||
\(754\) | −103584. | − | 263927.i | −0.182200 | − | 0.464239i | ||||
\(755\) | −532813. | + | 80308.6i | −0.934718 | + | 0.140886i | ||||
\(756\) | 650427. | + | 443453.i | 1.13803 | + | 0.775897i | ||||
\(757\) | −141175. | − | 457679.i | −0.246358 | − | 0.798673i | −0.991309 | − | 0.131554i | \(-0.958003\pi\) |
0.744951 | − | 0.667119i | \(-0.232473\pi\) | |||||||
\(758\) | −618957. | − | 141273.i | −1.07726 | − | 0.245878i | ||||
\(759\) | −186467. | − | 73182.7i | −0.323681 | − | 0.127036i | ||||
\(760\) | −1.27932e6 | + | 95872.0i | −2.21489 | + | 0.165983i | ||||
\(761\) | 315816. | + | 340369.i | 0.545337 | + | 0.587734i | 0.944239 | − | 0.329260i | \(-0.106799\pi\) |
−0.398902 | + | 0.916993i | \(0.630609\pi\) | |||||||
\(762\) | 220731. | − | 150492.i | 0.380149 | − | 0.259181i | ||||
\(763\) | 648425. | + | 517102.i | 1.11381 | + | 0.888233i | ||||
\(764\) | 741907. | − | 799585.i | 1.27105 | − | 1.36987i | ||||
\(765\) | −161779. | + | 1.07333e6i | −0.276439 | + | 1.83405i | ||||
\(766\) | 42089.1 | + | 184405.i | 0.0717319 | + | 0.314278i | ||||
\(767\) | −118332. | − | 204957.i | −0.201146 | − | 0.348395i | ||||
\(768\) | 723184. | + | 417531.i | 1.22610 | + | 0.707890i | ||||
\(769\) | 435027. | + | 134188.i | 0.735637 | + | 0.226914i | 0.639863 | − | 0.768489i | \(-0.278991\pi\) |
0.0957741 | + | 0.995403i | \(0.469467\pi\) | |||||||
\(770\) | −1.02764e6 | + | 819513.i | −1.73324 | + | 1.38221i | ||||
\(771\) | 111682. | − | 1.49029e6i | 0.187877 | − | 2.50705i | ||||
\(772\) | 1.44114e6 | + | 694016.i | 2.41808 | + | 1.16449i | ||||
\(773\) | − | 333819.i | − | 0.558667i | −0.960194 | − | 0.279333i | \(-0.909887\pi\) | ||
0.960194 | − | 0.279333i | \(-0.0901134\pi\) | |||||||
\(774\) | −1.34524e6 | − | 235686.i | −2.24552 | − | 0.393415i | ||||
\(775\) | 115059. | 0.191565 | ||||||||
\(776\) | 728097. | − | 1.51191e6i | 1.20911 | − | 2.51074i | ||||
\(777\) | 436019. | + | 32675.1i | 0.722209 | + | 0.0541221i | ||||
\(778\) | 280987. | + | 352347.i | 0.464224 | + | 0.582118i | ||||
\(779\) | −286068. | + | 927410.i | −0.471406 | + | 1.52826i | ||||
\(780\) | 402419. | − | 697011.i | 0.661439 | − | 1.14565i | ||||
\(781\) | −737204. | + | 425625.i | −1.20861 | + | 0.697790i | ||||
\(782\) | −527885. | + | 120486.i | −0.863228 | + | 0.197026i | ||||
\(783\) | −129248. | − | 19481.0i | −0.210815 | − | 0.0317752i | ||||
\(784\) | 1.85222e6 | + | 1.71861e6i | 3.01343 | + | 2.79605i | ||||
\(785\) | 409794. | − | 513865.i | 0.665007 | − | 0.833893i | ||||
\(786\) | 864515. | + | 1.26801e6i | 1.39935 | + | 2.05248i | ||||
\(787\) | −636471. | + | 590558.i | −1.02761 | + | 0.953484i | −0.998937 | − | 0.0461047i | \(-0.985319\pi\) |
−0.0286748 | + | 0.999589i | \(0.509129\pi\) | |||||||
\(788\) | −72396.5 | − | 966065.i | −0.116591 | − | 1.55580i | ||||
\(789\) | −210441. | + | 536196.i | −0.338047 | + | 0.861330i | ||||
\(790\) | −88017.3 | + | 385629.i | −0.141031 | + | 0.617896i | ||||
\(791\) | −1.07345e6 | + | 331116.i | −1.71565 | + | 0.529209i | ||||
\(792\) | −1.00660e6 | + | 1.47641e6i | −1.60475 | + | 2.35374i | ||||
\(793\) | 20452.3 | + | 135692.i | 0.0325234 | + | 0.215779i | ||||
\(794\) | 2.06194e6 | − | 809252.i | 3.27066 | − | 1.28364i | ||||
\(795\) | 275740. | − | 132789.i | 0.436280 | − | 0.210101i | ||||
\(796\) | 163311. | + | 339119.i | 0.257745 | + | 0.535212i | ||||
\(797\) | −93203.1 | − | 237478.i | −0.146728 | − | 0.373857i | 0.838548 | − | 0.544828i | \(-0.183405\pi\) |
−0.985276 | + | 0.170970i | \(0.945310\pi\) | |||||||
\(798\) | 2.89143e6 | − | 435813.i | 4.54054 | − | 0.684376i | ||||
\(799\) | −691538. | − | 471483.i | −1.08324 | − | 0.738537i | ||||
\(800\) | −109379. | − | 354598.i | −0.170905 | − | 0.554060i | ||||
\(801\) | −479314. | − | 109400.i | −0.747060 | − | 0.170511i | ||||
\(802\) | −1.54983e6 | − | 608264.i | −2.40955 | − | 0.945679i | ||||
\(803\) | 203885. | − | 15279.1i | 0.316195 | − | 0.0236955i | ||||
\(804\) | 818335. | + | 881955.i | 1.26596 | + | 1.36438i | ||||
\(805\) | 193321. | − | 131804.i | 0.298324 | − | 0.203394i | ||||
\(806\) | 257554. | + | 205393.i | 0.396460 | + | 0.316166i | ||||
\(807\) | 719902. | − | 775870.i | 1.10542 | − | 1.19136i | ||||
\(808\) | 440086. | − | 2.91978e6i | 0.674085 | − | 4.47226i | ||||
\(809\) | 111182. | + | 487119.i | 0.169878 | + | 0.744283i | 0.986047 | + | 0.166469i | \(0.0532367\pi\) |
−0.816169 | + | 0.577813i | \(0.803906\pi\) | |||||||
\(810\) | 360508. | + | 624418.i | 0.549471 | + | 0.951712i | ||||
\(811\) | 615824. | + | 355546.i | 0.936300 | + | 0.540573i | 0.888799 | − | 0.458298i | \(-0.151541\pi\) |
0.0475015 | + | 0.998871i | \(0.484874\pi\) | |||||||
\(812\) | −1.53433e6 | − | 473278.i | −2.32705 | − | 0.717801i | ||||
\(813\) | 1.13167e6 | − | 902476.i | 1.71214 | − | 1.36538i | ||||
\(814\) | −23824.8 | + | 317920.i | −0.0359568 | + | 0.479810i | ||||
\(815\) | −36546.8 | − | 17600.0i | −0.0550217 | − | 0.0264971i | ||||
\(816\) | 4.39399e6i | 6.59901i | ||||||||
\(817\) | −568369. | + | 367973.i | −0.851503 | + | 0.551279i | ||||
\(818\) | 487886. | 0.729142 | ||||||||
\(819\) | −257962. | + | 535664.i | −0.384582 | + | 0.798592i | ||||
\(820\) | 2.13152e6 | + | 159735.i | 3.17001 | + | 0.237560i | ||||
\(821\) | 21699.2 | + | 27209.9i | 0.0321927 | + | 0.0403683i | 0.797667 | − | 0.603098i | \(-0.206067\pi\) |
−0.765475 | + | 0.643466i | \(0.777496\pi\) | |||||||
\(822\) | −200690. | + | 650622.i | −0.297018 | + | 0.962909i | ||||
\(823\) | −50519.1 | + | 87501.7i | −0.0745858 | + | 0.129186i | −0.900906 | − | 0.434014i | \(-0.857097\pi\) |
0.826320 | + | 0.563201i | \(0.190430\pi\) | |||||||
\(824\) | −1.38720e6 | + | 800900.i | −2.04308 | + | 1.17957i | ||||
\(825\) | −267393. | + | 61030.8i | −0.392864 | + | 0.0896687i | ||||
\(826\) | −1.87255e6 | − | 282241.i | −2.74456 | − | 0.413676i | ||||
\(827\) | −573076. | − | 531737.i | −0.837918 | − | 0.777474i | 0.139180 | − | 0.990267i | \(-0.455553\pi\) |
−0.977097 | + | 0.212793i | \(0.931744\pi\) | |||||||
\(828\) | 337817. | − | 423610.i | 0.492744 | − | 0.617881i | ||||
\(829\) | 422038. | + | 619015.i | 0.614104 | + | 0.900725i | 0.999760 | − | 0.0219175i | \(-0.00697710\pi\) |
−0.385656 | + | 0.922643i | \(0.626025\pi\) | |||||||
\(830\) | 94540.9 | − | 87721.1i | 0.137235 | − | 0.127335i | ||||
\(831\) | 108748. | + | 1.45113e6i | 0.157477 | + | 2.10139i | ||||
\(832\) | 116826. | − | 297667.i | 0.168769 | − | 0.430016i | ||||
\(833\) | 469619. | − | 2.05754e6i | 0.676793 | − | 2.96522i | ||||
\(834\) | −773020. | + | 238445.i | −1.11137 | + | 0.342812i | ||||
\(835\) | −109650. | + | 160827.i | −0.157266 | + | 0.230667i | ||||
\(836\) | 224903. | + | 1.49214e6i | 0.321798 | + | 2.13499i | ||||
\(837\) | 141370. | − | 55483.5i | 0.201792 | − | 0.0791977i | ||||
\(838\) | −160366. | + | 77228.4i | −0.228363 | + | 0.109974i | ||||
\(839\) | 7997.77 | + | 16607.5i | 0.0113617 | + | 0.0235929i | 0.906573 | − | 0.422050i | \(-0.138689\pi\) |
−0.895211 | + | 0.445643i | \(0.852975\pi\) | |||||||
\(840\) | −1.38129e6 | − | 3.51946e6i | −1.95761 | − | 4.98790i | ||||
\(841\) | −435756. | + | 65679.7i | −0.616100 | + | 0.0928622i | ||||
\(842\) | −73342.2 | − | 50003.9i | −0.103450 | − | 0.0705309i | ||||
\(843\) | 159060. | + | 515661.i | 0.223824 | + | 0.725620i | ||||
\(844\) | −2.09590e6 | − | 478375.i | −2.94229 | − | 0.671558i | ||||
\(845\) | −446661. | − | 175302.i | −0.625554 | − | 0.245512i | ||||
\(846\) | 1.18004e6 | − | 88432.1i | 1.64876 | − | 0.123557i | ||||
\(847\) | −181851. | − | 195988.i | −0.253482 | − | 0.273189i | ||||
\(848\) | 565097. | − | 385276.i | 0.785834 | − | 0.535773i | ||||
\(849\) | −566885. | − | 452076.i | −0.786466 | − | 0.627186i | ||||
\(850\) | −504259. | + | 543462.i | −0.697936 | + | 0.752196i | ||||
\(851\) | 8458.46 | − | 56118.2i | 0.0116797 | − | 0.0774898i | ||||
\(852\) | −928088. | − | 4.06622e6i | −1.27853 | − | 5.60159i | ||||
\(853\) | 121712. | + | 210812.i | 0.167277 | + | 0.289733i | 0.937462 | − | 0.348089i | \(-0.113169\pi\) |
−0.770184 | + | 0.637821i | \(0.779836\pi\) | |||||||
\(854\) | 950917. | + | 549012.i | 1.30385 | + | 0.752777i | ||||
\(855\) | −727045. | − | 224264.i | −0.994556 | − | 0.306780i | ||||
\(856\) | 119826. | − | 95558.4i | 0.163533 | − | 0.130413i | ||||
\(857\) | −33567.9 | + | 447932.i | −0.0457048 | + | 0.609889i | 0.926581 | + | 0.376095i | \(0.122733\pi\) |
−0.972286 | + | 0.233794i | \(0.924886\pi\) | |||||||
\(858\) | −707496. | − | 340712.i | −0.961058 | − | 0.462821i | ||||
\(859\) | 657726.i | 0.891371i | 0.895190 | + | 0.445686i | \(0.147040\pi\) | ||||
−0.895190 | + | 0.445686i | \(0.852960\pi\) | |||||||
\(860\) | 1.06865e6 | + | 1.04006e6i | 1.44490 | + | 1.40624i | ||||
\(861\) | −2.86021e6 | −3.85826 | ||||||||
\(862\) | 393661. | − | 817445.i | 0.529795 | − | 1.10013i | ||||
\(863\) | 141873. | + | 10631.9i | 0.190493 | + | 0.0142755i | 0.169635 | − | 0.985507i | \(-0.445741\pi\) |
0.0208582 | + | 0.999782i | \(0.493360\pi\) | |||||||
\(864\) | −305385. | − | 382941.i | −0.409091 | − | 0.512984i | ||||
\(865\) | −284157. | + | 921213.i | −0.379774 | + | 1.23120i | ||||
\(866\) | 429994. | − | 744772.i | 0.573359 | − | 0.993087i | ||||
\(867\) | 2.20574e6 | − | 1.27348e6i | 2.93437 | − | 1.69416i | ||||
\(868\) | 1.81882e6 | − | 415134.i | 2.41407 | − | 0.550996i | ||||
\(869\) | 270089. | + | 40709.4i | 0.357658 | + | 0.0539082i | ||||
\(870\) | 783849. | + | 727305.i | 1.03560 | + | 0.960900i | ||||
\(871\) | −106840. | + | 133973.i | −0.140830 | + | 0.176595i | ||||
\(872\) | −979881. | − | 1.43722e6i | −1.28867 | − | 1.89013i | ||||
\(873\) | 729545. | − | 676919.i | 0.957246 | − | 0.888195i | ||||
\(874\) | −28362.6 | − | 378473.i | −0.0371299 | − | 0.495464i | ||||
\(875\) | 498454. | − | 1.27004e6i | 0.651043 | − | 1.65883i | ||||
\(876\) | −222912. | + | 976643.i | −0.290486 | + | 1.27270i | ||||
\(877\) | −1.35299e6 | + | 417341.i | −1.75911 | + | 0.542615i | −0.994765 | − | 0.102187i | \(-0.967416\pi\) |
−0.764350 | + | 0.644802i | \(0.776940\pi\) | |||||||
\(878\) | −1.03088e6 | + | 1.51203e6i | −1.33727 | + | 1.96142i | ||||
\(879\) | 168986. | + | 1.12115e6i | 0.218712 | + | 1.45106i | ||||
\(880\) | 1.28875e6 | − | 505799.i | 1.66420 | − | 0.653149i | ||||
\(881\) | −45368.7 | + | 21848.4i | −0.0584528 | + | 0.0281494i | −0.462882 | − | 0.886420i | \(-0.653185\pi\) |
0.404429 | + | 0.914569i | \(0.367470\pi\) | |||||||
\(882\) | 1.29465e6 | + | 2.68836e6i | 1.66423 | + | 3.45582i | ||||
\(883\) | 32849.6 | + | 83699.5i | 0.0421317 | + | 0.107350i | 0.950391 | − | 0.311058i | \(-0.100683\pi\) |
−0.908259 | + | 0.418408i | \(0.862588\pi\) | |||||||
\(884\) | −1.48551e6 | + | 223904.i | −1.90095 | + | 0.286522i | ||||
\(885\) | 737466. | + | 502796.i | 0.941576 | + | 0.641956i | ||||
\(886\) | −165603. | − | 536871.i | −0.210960 | − | 0.683916i | ||||
\(887\) | −353232. | − | 80622.9i | −0.448965 | − | 0.102473i | −0.00794080 | − | 0.999968i | \(-0.502528\pi\) |
−0.441024 | + | 0.897495i | \(0.645385\pi\) | |||||||
\(888\) | −853657. | − | 335036.i | −1.08257 | − | 0.424879i | ||||
\(889\) | 214879. | − | 16103.0i | 0.271888 | − | 0.0203752i | ||||
\(890\) | 515896. | + | 556004.i | 0.651302 | + | 0.701936i | ||||
\(891\) | 411376. | − | 280471.i | 0.518183 | − | 0.353291i | ||||
\(892\) | 1.94241e6 | + | 1.54902e6i | 2.44124 | + | 1.94682i | ||||
\(893\) | 399038. | − | 430061.i | 0.500394 | − | 0.539296i | ||||
\(894\) | −243901. | + | 1.61818e6i | −0.305168 | + | 2.02466i | ||||
\(895\) | −143381. | − | 628192.i | −0.178996 | − | 0.784235i | ||||
\(896\) | −37108.4 | − | 64273.7i | −0.0462229 | − | 0.0800603i | ||||
\(897\) | 121058. | + | 69892.7i | 0.150455 | + | 0.0868654i | ||||
\(898\) | 1.99206e6 | + | 614468.i | 2.47030 | + | 0.761986i | ||||
\(899\) | −242181. | + | 193133.i | −0.299655 | + | 0.238967i | ||||
\(900\) | 55439.0 | − | 739783.i | 0.0684433 | − | 0.913312i | ||||
\(901\) | −514687. | − | 247860.i | −0.634007 | − | 0.305322i | ||||
\(902\) | − | 2.08550e6i | − | 2.56328i | ||||||
\(903\) | −1.52998e6 | − | 1.28096e6i | −1.87633 | − | 1.57094i | ||||
\(904\) | 2.35608e6 | 2.88306 | ||||||||
\(905\) | 44964.6 | − | 93369.9i | 0.0549001 | − | 0.114001i | ||||
\(906\) | −2.56864e6 | − | 192493.i | −3.12929 | − | 0.234508i | ||||
\(907\) | 100034. | + | 125438.i | 0.121599 | + | 0.152481i | 0.838905 | − | 0.544278i | \(-0.183196\pi\) |
−0.717306 | + | 0.696759i | \(0.754625\pi\) | |||||||
\(908\) | 230090. | − | 745934.i | 0.279079 | − | 0.904750i | ||||
\(909\) | 875588. | − | 1.51656e6i | 1.05967 | − | 1.83541i | ||||
\(910\) | 794344. | − | 458615.i | 0.959237 | − | 0.553816i | ||||
\(911\) | 748163. | − | 170763.i | 0.901487 | − | 0.205759i | 0.253433 | − | 0.967353i | \(-0.418440\pi\) |
0.648054 | + | 0.761594i | \(0.275583\pi\) | |||||||
\(912\) | −3.04555e6 | − | 459043.i | −3.66164 | − | 0.551904i | ||||
\(913\) | −65284.1 | − | 60574.8i | −0.0783188 | − | 0.0726692i | ||||
\(914\) | −975543. | + | 1.22329e6i | −1.16776 | + | 1.46433i | ||||
\(915\) | −291536. | − | 427605.i | −0.348217 | − | 0.510741i | ||||
\(916\) | −100954. | + | 93671.2i | −0.120318 | + | 0.111639i | ||||
\(917\) | 92504.9 | + | 1.23439e6i | 0.110008 | + | 1.46796i | ||||
\(918\) | −357502. | + | 910899.i | −0.424222 | + | 1.08090i | ||||
\(919\) | −175860. | + | 770494.i | −0.208227 | + | 0.912301i | 0.757519 | + | 0.652813i | \(0.226411\pi\) |
−0.965746 | + | 0.259489i | \(0.916446\pi\) | |||||||
\(920\) | −468931. | + | 144646.i | −0.554031 | + | 0.170896i | ||||
\(921\) | 942808. | − | 1.38285e6i | 1.11149 | − | 1.63025i | ||||
\(922\) | −113745. | − | 754649.i | −0.133804 | − | 0.887735i | ||||
\(923\) | 552967. | − | 217024.i | 0.649077 | − | 0.254744i | ||||
\(924\) | −4.00668e6 | + | 1.92952e6i | −4.69290 | + | 2.25998i | ||||
\(925\) | −33715.0 | − | 70009.8i | −0.0394039 | − | 0.0818230i | ||||
\(926\) | −7497.83 | − | 19104.1i | −0.00874406 | − | 0.0222795i | ||||
\(927\) | −939360. | + | 141586.i | −1.09313 | + | 0.164763i | ||||
\(928\) | 825441. | + | 562776.i | 0.958496 | + | 0.653491i | ||||
\(929\) | −401092. | − | 1.30031e6i | −0.464743 | − | 1.50666i | −0.820260 | − | 0.571990i | \(-0.806171\pi\) |
0.355517 | − | 0.934670i | \(-0.384305\pi\) | |||||||
\(930\) | −1.21125e6 | − | 276459.i | −1.40045 | − | 0.319643i | ||||
\(931\) | 1.37705e6 | + | 540453.i | 1.58873 | + | 0.623532i | ||||
\(932\) | −1.87512e6 | + | 140521.i | −2.15873 | + | 0.161774i | ||||
\(933\) | 1.17075e6 | + | 1.26177e6i | 1.34493 | + | 1.44949i | ||||
\(934\) | −2.17243e6 | + | 1.48114e6i | −2.49030 | + | 1.69786i | ||||
\(935\) | −904085. | − | 720984.i | −1.03416 | − | 0.824712i | ||||
\(936\) | 848152. | − | 914090.i | 0.968104 | − | 1.04337i | ||||
\(937\) | −226382. | + | 1.50195e6i | −0.257848 | + | 1.71071i | 0.367216 | + | 0.930136i | \(0.380311\pi\) |
−0.625064 | + | 0.780574i | \(0.714927\pi\) | |||||||
\(938\) | 305107. | + | 1.33676e6i | 0.346774 | + | 1.51932i | ||||
\(939\) | −1.26628e6 | − | 2.19326e6i | −1.43615 | − | 2.48748i | ||||
\(940\) | −1.11898e6 | − | 646044.i | −1.26639 | − | 0.731150i | ||||
\(941\) | 913499. | + | 281777.i | 1.03164 | + | 0.318219i | 0.763943 | − | 0.645283i | \(-0.223261\pi\) |
0.267698 | + | 0.963503i | \(0.413737\pi\) | |||||||
\(942\) | 2.45649e6 | − | 1.95899e6i | 2.76830 | − | 2.20765i | ||||
\(943\) | −27743.0 | + | 370204.i | −0.0311982 | + | 0.416311i | ||||
\(944\) | 1.79711e6 | + | 865441.i | 2.01665 | + | 0.971166i | ||||
\(945\) | − | 422851.i | − | 0.473504i | ||||||
\(946\) | 934002. | − | 1.11557e6i | 1.04368 | − | 1.24657i | ||||
\(947\) | 997643. | 1.11244 | 0.556218 | − | 0.831036i | \(-0.312252\pi\) | ||||
0.556218 | + | 0.831036i | \(0.312252\pi\) | |||||||
\(948\) | −580657. | + | 1.20575e6i | −0.646105 | + | 1.34165i | ||||
\(949\) | −142278. | − | 10662.3i | −0.157981 | − | 0.0118391i | ||||
\(950\) | −324002. | − | 406286.i | −0.359005 | − | 0.450179i | ||||
\(951\) | −315364. | + | 1.02239e6i | −0.348699 | + | 1.13046i | ||||
\(952\) | −3.52857e6 | + | 6.11167e6i | −3.89337 | + | 6.74351i | ||||
\(953\) | −640316. | + | 369687.i | −0.705032 | + | 0.407050i | −0.809219 | − | 0.587507i | \(-0.800109\pi\) |
0.104187 | + | 0.994558i | \(0.466776\pi\) | |||||||
\(954\) | 787426. | − | 179725.i | 0.865193 | − | 0.197475i | ||||
\(955\) | −579358. | − | 87324.1i | −0.635243 | − | 0.0957475i | ||||
\(956\) | −541608. | − | 502539.i | −0.592610 | − | 0.549862i | ||||
\(957\) | 460378. | − | 577296.i | 0.502679 | − | 0.630340i | ||||
\(958\) | 311568. | + | 456986.i | 0.339486 | + | 0.497935i | ||||
\(959\) | −402580. | + | 373539.i | −0.437738 | + | 0.406162i | ||||
\(960\) | 90123.9 | + | 1.20262e6i | 0.0977906 | + | 1.30493i | ||||
\(961\) | −205912. | + | 524654.i | −0.222964 | + | 0.568102i | ||||
\(962\) | 49505.8 | − | 216899.i | 0.0534941 | − | 0.234373i | ||||
\(963\) | 86857.0 | − | 26791.8i | 0.0936596 | − | 0.0288902i | ||||
\(964\) | 1.62454e6 | − | 2.38277e6i | 1.74815 | − | 2.56406i | ||||
\(965\) | −128056. | − | 849596.i | −0.137513 | − | 0.912342i | ||||
\(966\) | 1.04119e6 | − | 408638.i | 1.11578 | − | 0.437910i | ||||
\(967\) | 290010. | − | 139661.i | 0.310141 | − | 0.149356i | −0.272338 | − | 0.962202i | \(-0.587797\pi\) |
0.582479 | + | 0.812845i | \(0.302083\pi\) | |||||||
\(968\) | 243299. | + | 505215.i | 0.259651 | + | 0.539170i | ||||
\(969\) | 939851. | + | 2.39470e6i | 1.00095 | + | 2.55037i | ||||
\(970\) | −1.51822e6 | + | 228835.i | −1.61358 | + | 0.243208i | ||||
\(971\) | 1.52613e6 | + | 1.04050e6i | 1.61865 | + | 1.10358i | 0.922725 | + | 0.385459i | \(0.125957\pi\) |
0.695923 | + | 0.718117i | \(0.254996\pi\) | |||||||
\(972\) | 953236. | + | 3.09031e6i | 1.00895 | + | 3.27092i | ||||
\(973\) | −636138. | − | 145194.i | −0.671932 | − | 0.153364i | ||||
\(974\) | 2.81982e6 | + | 1.10670e6i | 2.97237 | + | 1.16657i | ||||
\(975\) | 190859. | − | 14302.9i | 0.200773 | − | 0.0150458i | ||||
\(976\) | −786655. | − | 847812.i | −0.825818 | − | 0.890020i | ||||
\(977\) | 406294. | − | 277007.i | 0.425649 | − | 0.290203i | −0.331487 | − | 0.943460i | \(-0.607550\pi\) |
0.757136 | + | 0.653257i | \(0.226598\pi\) | |||||||
\(978\) | −151607. | − | 120902.i | −0.158504 | − | 0.126403i | ||||
\(979\) | 356246. | − | 383942.i | 0.371693 | − | 0.400590i | ||||
\(980\) | 485585. | − | 3.22165e6i | 0.505608 | − | 3.35449i | ||||
\(981\) | −229557. | − | 1.00576e6i | −0.238535 | − | 1.04509i | ||||
\(982\) | −1.27078e6 | − | 2.20105e6i | −1.31779 | − | 2.28248i | ||||
\(983\) | −583847. | − | 337084.i | −0.604216 | − | 0.348844i | 0.166482 | − | 0.986044i | \(-0.446759\pi\) |
−0.770698 | + | 0.637200i | \(0.780092\pi\) | |||||||
\(984\) | 5.73235e6 | + | 1.76819e6i | 5.92028 | + | 1.82616i | ||||
\(985\) | −406846. | + | 324449.i | −0.419332 | + | 0.334406i | ||||
\(986\) | 149155. | − | 1.99033e6i | 0.153421 | − | 2.04725i | ||||
\(987\) | 1.55774e6 | + | 750167.i | 1.59904 | + | 0.770058i | ||||
\(988\) | − | 1.05302e6i | − | 1.07876i | ||||||
\(989\) | −180638. | + | 185605.i | −0.184679 | + | 0.189756i | ||||
\(990\) | 1.63493e6 | 1.66813 | ||||||||
\(991\) | 605327. | − | 1.25698e6i | 0.616372 | − | 1.27991i | −0.326008 | − | 0.945367i | \(-0.605704\pi\) |
0.942380 | − | 0.334543i | \(-0.108582\pi\) | |||||||
\(992\) | −1.15751e6 | − | 86743.8i | −1.17626 | − | 0.0881485i | ||||
\(993\) | −1.27808e6 | − | 1.60267e6i | −1.29617 | − | 1.62534i | ||||
\(994\) | 1.40103e6 | − | 4.54204e6i | 1.41800 | − | 4.59704i | ||||
\(995\) | 101090. | − | 175093.i | 0.102108 | − | 0.176857i | ||||
\(996\) | 377889. | − | 218174.i | 0.380930 | − | 0.219930i | ||||
\(997\) | 404207. | − | 92257.5i | 0.406643 | − | 0.0928136i | −0.0143067 | − | 0.999898i | \(-0.504554\pi\) |
0.420949 | + | 0.907084i | \(0.361697\pi\) | |||||||
\(998\) | 1.20886e6 | + | 182206.i | 1.21371 | + | 0.182937i | ||||
\(999\) | −75184.7 | − | 69761.2i | −0.0753353 | − | 0.0699009i |
(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 | 43.5.h.a.3.1 | ✓ | 168 | |
43.29 | odd | 42 | inner | 43.5.h.a.29.1 | yes | 168 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.5.h.a.3.1 | ✓ | 168 | 1.1 | even | 1 | trivial | |
43.5.h.a.29.1 | yes | 168 | 43.29 | odd | 42 | inner |