Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [64,5,Mod(3,64)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(64, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 3]))
N = Newforms(chi, 5, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("64.3");
S:= CuspForms(chi, 5);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 64 = 2^{6} \) |
Weight: | \( k \) | \(=\) | \( 5 \) |
Character orbit: | \([\chi]\) | \(=\) | 64.j (of order \(16\), degree \(8\), 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: | \(6.61567763737\) |
Analytic rank: | \(0\) |
Dimension: | \(248\) |
Relative dimension: | \(31\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 3.3 | ||
Character | \(\chi\) | \(=\) | 64.3 |
Dual form | 64.5.j.a.43.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/64\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(63\) |
\(\chi(n)\) | \(e\left(\frac{3}{16}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.78468 | + | 1.29468i | −0.946170 | + | 0.323669i | ||||
\(3\) | 4.98643 | + | 0.991863i | 0.554048 | + | 0.110207i | 0.464171 | − | 0.885746i | \(-0.346352\pi\) |
0.0898775 | + | 0.995953i | \(0.471352\pi\) | |||||||
\(4\) | 12.6476 | − | 9.79988i | 0.790477 | − | 0.612492i | ||||
\(5\) | −24.9007 | − | 16.6381i | −0.996027 | − | 0.665524i | −0.0531230 | − | 0.998588i | \(-0.516918\pi\) |
−0.942904 | + | 0.333064i | \(0.891918\pi\) | |||||||
\(6\) | −20.1562 | + | 2.70193i | −0.559894 | + | 0.0750537i | ||||
\(7\) | 16.4913 | + | 39.8136i | 0.336558 | + | 0.812522i | 0.998041 | + | 0.0625621i | \(0.0199272\pi\) |
−0.661484 | + | 0.749960i | \(0.730073\pi\) | |||||||
\(8\) | −35.1796 | + | 53.4640i | −0.549681 | + | 0.835375i | ||||
\(9\) | −50.9535 | − | 21.1056i | −0.629056 | − | 0.260563i | ||||
\(10\) | 115.782 | + | 30.7316i | 1.15782 | + | 0.307316i | ||||
\(11\) | −1.15335 | − | 5.79830i | −0.00953185 | − | 0.0479199i | 0.975727 | − | 0.218992i | \(-0.0702769\pi\) |
−0.985258 | + | 0.171072i | \(0.945277\pi\) | |||||||
\(12\) | 72.7867 | − | 36.3217i | 0.505463 | − | 0.252234i | ||||
\(13\) | −142.622 | + | 95.2968i | −0.843915 | + | 0.563886i | −0.900671 | − | 0.434502i | \(-0.856924\pi\) |
0.0567557 | + | 0.998388i | \(0.481924\pi\) | |||||||
\(14\) | −113.960 | − | 129.331i | −0.581429 | − | 0.659851i | ||||
\(15\) | −107.663 | − | 107.663i | −0.478502 | − | 0.478502i | ||||
\(16\) | 63.9249 | − | 247.890i | 0.249706 | − | 0.968322i | ||||
\(17\) | −357.469 | − | 357.469i | −1.23692 | − | 1.23692i | −0.961254 | − | 0.275663i | \(-0.911103\pi\) |
−0.275663 | − | 0.961254i | \(-0.588897\pi\) | |||||||
\(18\) | 220.168 | + | 13.9098i | 0.679530 | + | 0.0429315i | ||||
\(19\) | −336.361 | + | 224.749i | −0.931747 | + | 0.622573i | −0.926046 | − | 0.377411i | \(-0.876815\pi\) |
−0.00570056 | + | 0.999984i | \(0.501815\pi\) | |||||||
\(20\) | −477.986 | + | 33.5911i | −1.19496 | + | 0.0839777i | ||||
\(21\) | 42.7432 | + | 214.885i | 0.0969235 | + | 0.487267i | ||||
\(22\) | 11.8720 | + | 20.4515i | 0.0245289 | + | 0.0422552i | ||||
\(23\) | −480.396 | − | 198.987i | −0.908122 | − | 0.376156i | −0.120784 | − | 0.992679i | \(-0.538541\pi\) |
−0.787337 | + | 0.616523i | \(0.788541\pi\) | |||||||
\(24\) | −228.449 | + | 231.701i | −0.396614 | + | 0.402259i | ||||
\(25\) | 104.040 | + | 251.175i | 0.166464 | + | 0.401881i | ||||
\(26\) | 416.399 | − | 545.317i | 0.615975 | − | 0.806682i | ||||
\(27\) | −575.553 | − | 384.572i | −0.789511 | − | 0.527534i | ||||
\(28\) | 598.744 | + | 341.934i | 0.763704 | + | 0.436141i | ||||
\(29\) | 892.973 | + | 177.623i | 1.06180 | + | 0.211205i | 0.694937 | − | 0.719071i | \(-0.255432\pi\) |
0.366862 | + | 0.930275i | \(0.380432\pi\) | |||||||
\(30\) | 546.858 | + | 268.081i | 0.607620 | + | 0.297868i | ||||
\(31\) | 1476.43 | 1.53635 | 0.768174 | − | 0.640242i | \(-0.221166\pi\) | ||||
0.768174 | + | 0.640242i | \(0.221166\pi\) | |||||||
\(32\) | 79.0026 | + | 1020.95i | 0.0771509 | + | 0.997019i | ||||
\(33\) | − | 30.0568i | − | 0.0276004i | ||||||
\(34\) | 1815.71 | + | 890.100i | 1.57069 | + | 0.769982i | ||||
\(35\) | 251.777 | − | 1265.77i | 0.205532 | − | 1.03328i | ||||
\(36\) | −851.274 | + | 232.402i | −0.656847 | + | 0.179323i | ||||
\(37\) | −735.800 | + | 1101.20i | −0.537472 | + | 0.804384i | −0.996461 | − | 0.0840581i | \(-0.973212\pi\) |
0.458989 | + | 0.888442i | \(0.348212\pi\) | |||||||
\(38\) | 982.040 | − | 1286.08i | 0.680083 | − | 0.890638i | ||||
\(39\) | −805.695 | + | 333.730i | −0.529714 | + | 0.219415i | ||||
\(40\) | 1765.53 | − | 745.969i | 1.10346 | − | 0.466230i | ||||
\(41\) | −616.031 | + | 1487.23i | −0.366467 | + | 0.884730i | 0.627856 | + | 0.778329i | \(0.283933\pi\) |
−0.994323 | + | 0.106401i | \(0.966067\pi\) | |||||||
\(42\) | −439.976 | − | 757.932i | −0.249419 | − | 0.429667i | ||||
\(43\) | −2111.94 | + | 420.090i | −1.14221 | + | 0.227199i | −0.729707 | − | 0.683760i | \(-0.760344\pi\) |
−0.412498 | + | 0.910959i | \(0.635344\pi\) | |||||||
\(44\) | −71.4098 | − | 62.0320i | −0.0368852 | − | 0.0320413i | ||||
\(45\) | 917.620 | + | 1373.31i | 0.453145 | + | 0.678180i | ||||
\(46\) | 2075.77 | + | 131.143i | 0.980988 | + | 0.0619770i | ||||
\(47\) | 375.581 | − | 375.581i | 0.170023 | − | 0.170023i | −0.616966 | − | 0.786990i | \(-0.711639\pi\) |
0.786990 | + | 0.616966i | \(0.211639\pi\) | |||||||
\(48\) | 564.630 | − | 1172.68i | 0.245065 | − | 0.508977i | ||||
\(49\) | 384.607 | − | 384.607i | 0.160186 | − | 0.160186i | ||||
\(50\) | −718.950 | − | 815.921i | −0.287580 | − | 0.326368i | ||||
\(51\) | −1427.94 | − | 2137.06i | −0.548995 | − | 0.821629i | ||||
\(52\) | −869.929 | + | 2602.95i | −0.321719 | + | 0.962630i | ||||
\(53\) | 847.405 | − | 168.559i | 0.301675 | − | 0.0600069i | −0.0419319 | − | 0.999120i | \(-0.513351\pi\) |
0.343607 | + | 0.939114i | \(0.388351\pi\) | |||||||
\(54\) | 2676.18 | + | 710.329i | 0.917758 | + | 0.243597i | ||||
\(55\) | −67.7534 | + | 163.571i | −0.0223978 | + | 0.0540732i | ||||
\(56\) | −2708.75 | − | 518.932i | −0.863759 | − | 0.165476i | ||||
\(57\) | −1900.16 | + | 787.072i | −0.584844 | + | 0.242250i | ||||
\(58\) | −3609.58 | + | 483.863i | −1.07300 | + | 0.143836i | ||||
\(59\) | 2342.76 | − | 3506.19i | 0.673013 | − | 1.00724i | −0.325091 | − | 0.945683i | \(-0.605395\pi\) |
0.998104 | − | 0.0615526i | \(-0.0196052\pi\) | |||||||
\(60\) | −2416.76 | − | 306.597i | −0.671323 | − | 0.0851658i | ||||
\(61\) | −212.809 | + | 1069.87i | −0.0571915 | + | 0.287521i | −0.998788 | − | 0.0492227i | \(-0.984326\pi\) |
0.941596 | + | 0.336744i | \(0.109326\pi\) | |||||||
\(62\) | −5587.82 | + | 1911.50i | −1.45365 | + | 0.497268i | ||||
\(63\) | − | 2376.70i | − | 0.598816i | ||||||
\(64\) | −1620.80 | − | 3761.68i | −0.395702 | − | 0.918379i | ||||
\(65\) | 5136.93 | 1.21584 | ||||||||
\(66\) | 38.9139 | + | 113.755i | 0.00893339 | + | 0.0261147i | ||||
\(67\) | 1769.18 | + | 351.913i | 0.394115 | + | 0.0783944i | 0.388170 | − | 0.921588i | \(-0.373107\pi\) |
0.00594566 | + | 0.999982i | \(0.498107\pi\) | |||||||
\(68\) | −8024.29 | − | 1017.98i | −1.73536 | − | 0.220152i | ||||
\(69\) | −2198.10 | − | 1468.72i | −0.461688 | − | 0.308490i | ||||
\(70\) | 685.865 | + | 5116.50i | 0.139973 | + | 1.04418i | ||||
\(71\) | −519.523 | − | 1254.24i | −0.103060 | − | 0.248808i | 0.863936 | − | 0.503602i | \(-0.167992\pi\) |
−0.966995 | + | 0.254794i | \(0.917992\pi\) | |||||||
\(72\) | 2920.91 | − | 1981.69i | 0.563448 | − | 0.382271i | ||||
\(73\) | 5251.26 | + | 2175.14i | 0.985412 | + | 0.408171i | 0.816428 | − | 0.577448i | \(-0.195951\pi\) |
0.168984 | + | 0.985619i | \(0.445951\pi\) | |||||||
\(74\) | 1359.07 | − | 5120.32i | 0.248186 | − | 0.935048i | ||||
\(75\) | 269.658 | + | 1355.66i | 0.0479392 | + | 0.241007i | ||||
\(76\) | −2051.65 | + | 6138.83i | −0.355203 | + | 1.06282i | ||||
\(77\) | 211.831 | − | 141.541i | 0.0357279 | − | 0.0238726i | ||||
\(78\) | 2617.23 | − | 2306.17i | 0.430182 | − | 0.379056i | ||||
\(79\) | −946.307 | − | 946.307i | −0.151627 | − | 0.151627i | 0.627217 | − | 0.778844i | \(-0.284194\pi\) |
−0.778844 | + | 0.627217i | \(0.784194\pi\) | |||||||
\(80\) | −5716.20 | + | 5109.05i | −0.893156 | + | 0.798289i | ||||
\(81\) | 670.335 | + | 670.335i | 0.102170 | + | 0.102170i | ||||
\(82\) | 405.999 | − | 6426.26i | 0.0603806 | − | 0.955719i | ||||
\(83\) | −2760.52 | + | 1844.52i | −0.400714 | + | 0.267748i | −0.739556 | − | 0.673095i | \(-0.764965\pi\) |
0.338842 | + | 0.940843i | \(0.389965\pi\) | |||||||
\(84\) | 2646.45 | + | 2298.90i | 0.375063 | + | 0.325808i | ||||
\(85\) | 2953.62 | + | 14848.8i | 0.408805 | + | 2.05520i | ||||
\(86\) | 7449.13 | − | 4324.18i | 1.00718 | − | 0.584665i | ||||
\(87\) | 4276.57 | + | 1771.41i | 0.565011 | + | 0.234035i | ||||
\(88\) | 350.575 | + | 142.319i | 0.0452705 | + | 0.0183779i | ||||
\(89\) | −3435.74 | − | 8294.61i | −0.433751 | − | 1.04717i | −0.978068 | − | 0.208287i | \(-0.933211\pi\) |
0.544317 | − | 0.838880i | \(-0.316789\pi\) | |||||||
\(90\) | −5250.90 | − | 4009.54i | −0.648259 | − | 0.495005i | ||||
\(91\) | −6146.12 | − | 4106.71i | −0.742196 | − | 0.495919i | ||||
\(92\) | −8025.92 | + | 2191.12i | −0.948242 | + | 0.258875i | ||||
\(93\) | 7362.12 | + | 1464.42i | 0.851210 | + | 0.169316i | ||||
\(94\) | −935.199 | + | 1907.71i | −0.105840 | + | 0.215902i | ||||
\(95\) | 12115.0 | 1.34238 | ||||||||
\(96\) | −618.700 | + | 5169.25i | −0.0671332 | + | 0.560899i | ||||
\(97\) | − | 14299.6i | − | 1.51978i | −0.650054 | − | 0.759888i | \(-0.725254\pi\) | ||
0.650054 | − | 0.759888i | \(-0.274746\pi\) | |||||||
\(98\) | −957.673 | + | 1953.56i | −0.0997160 | + | 0.203411i | ||||
\(99\) | −63.6094 | + | 319.786i | −0.00649010 | + | 0.0326279i | ||||
\(100\) | 3777.35 | + | 2157.19i | 0.377735 | + | 0.215719i | ||||
\(101\) | −9906.71 | + | 14826.4i | −0.971151 | + | 1.45343i | −0.0815624 | + | 0.996668i | \(0.525991\pi\) |
−0.889589 | + | 0.456762i | \(0.849009\pi\) | |||||||
\(102\) | 8171.08 | + | 6239.36i | 0.785378 | + | 0.599708i | ||||
\(103\) | 13337.5 | − | 5524.57i | 1.25719 | − | 0.520744i | 0.348142 | − | 0.937442i | \(-0.386813\pi\) |
0.909045 | + | 0.416698i | \(0.136813\pi\) | |||||||
\(104\) | −77.5769 | − | 10977.6i | −0.00717242 | − | 1.01494i | ||||
\(105\) | 2510.94 | − | 6061.94i | 0.227750 | − | 0.549836i | ||||
\(106\) | −2988.93 | + | 1735.06i | −0.266013 | + | 0.154420i | ||||
\(107\) | −21387.4 | + | 4254.22i | −1.86806 | + | 0.371580i | −0.993547 | − | 0.113422i | \(-0.963819\pi\) |
−0.874513 | + | 0.485002i | \(0.838819\pi\) | |||||||
\(108\) | −11048.1 | + | 776.423i | −0.947200 | + | 0.0665658i | ||||
\(109\) | −7803.77 | − | 11679.2i | −0.656827 | − | 0.983012i | −0.999058 | − | 0.0433956i | \(-0.986182\pi\) |
0.342231 | − | 0.939616i | \(-0.388818\pi\) | |||||||
\(110\) | 44.6533 | − | 706.784i | 0.00369036 | − | 0.0584119i | ||||
\(111\) | −4761.26 | + | 4761.26i | −0.386434 | + | 0.386434i | ||||
\(112\) | 10923.6 | − | 1542.96i | 0.870823 | − | 0.123004i | ||||
\(113\) | −2178.55 | + | 2178.55i | −0.170613 | + | 0.170613i | −0.787248 | − | 0.616636i | \(-0.788495\pi\) |
0.616636 | + | 0.787248i | \(0.288495\pi\) | |||||||
\(114\) | 6172.49 | − | 5438.91i | 0.474953 | − | 0.418506i | ||||
\(115\) | 8651.43 | + | 12947.8i | 0.654173 | + | 0.979039i | ||||
\(116\) | 13034.7 | − | 6504.51i | 0.968689 | − | 0.483391i | ||||
\(117\) | 9278.38 | − | 1845.58i | 0.677798 | − | 0.134822i | ||||
\(118\) | −4327.22 | + | 16302.9i | −0.310774 | + | 1.17085i | ||||
\(119\) | 8336.98 | − | 20127.3i | 0.588728 | − | 1.42132i | ||||
\(120\) | 9543.62 | − | 1968.55i | 0.662751 | − | 0.136705i | ||||
\(121\) | 13494.2 | − | 5589.49i | 0.921674 | − | 0.381770i | ||||
\(122\) | −579.714 | − | 4324.62i | −0.0389488 | − | 0.290555i | ||||
\(123\) | −4546.93 | + | 6804.96i | −0.300544 | + | 0.449796i | ||||
\(124\) | 18673.3 | − | 14468.8i | 1.21445 | − | 0.941001i | ||||
\(125\) | −2063.17 | + | 10372.2i | −0.132043 | + | 0.663824i | ||||
\(126\) | 3077.06 | + | 8995.06i | 0.193818 | + | 0.566582i | ||||
\(127\) | 26499.5i | 1.64297i | 0.570230 | + | 0.821485i | \(0.306854\pi\) | ||||
−0.570230 | + | 0.821485i | \(0.693146\pi\) | |||||||
\(128\) | 11004.4 | + | 12138.4i | 0.671653 | + | 0.740866i | ||||
\(129\) | −10947.7 | −0.657876 | ||||||||
\(130\) | −19441.7 | + | 6650.67i | −1.15039 | + | 0.393531i | ||||
\(131\) | −3906.78 | − | 777.108i | −0.227655 | − | 0.0452834i | 0.0799446 | − | 0.996799i | \(-0.474526\pi\) |
−0.307599 | + | 0.951516i | \(0.599526\pi\) | |||||||
\(132\) | −294.553 | − | 380.147i | −0.0169050 | − | 0.0218175i | ||||
\(133\) | −14495.1 | − | 9685.31i | −0.819441 | − | 0.547533i | ||||
\(134\) | −7151.41 | + | 958.644i | −0.398274 | + | 0.0533885i | ||||
\(135\) | 7933.11 | + | 19152.2i | 0.435287 | + | 1.05088i | ||||
\(136\) | 31687.3 | − | 6536.12i | 1.71320 | − | 0.353380i | ||||
\(137\) | −19023.5 | − | 7879.78i | −1.01356 | − | 0.419829i | −0.186806 | − | 0.982397i | \(-0.559814\pi\) |
−0.826751 | + | 0.562567i | \(0.809814\pi\) | |||||||
\(138\) | 10220.6 | + | 2712.82i | 0.536684 | + | 0.142450i | ||||
\(139\) | −545.985 | − | 2744.85i | −0.0282586 | − | 0.142066i | 0.964080 | − | 0.265611i | \(-0.0855736\pi\) |
−0.992339 | + | 0.123545i | \(0.960574\pi\) | |||||||
\(140\) | −9220.00 | − | 18476.4i | −0.470408 | − | 0.942671i | ||||
\(141\) | 2245.34 | − | 1500.29i | 0.112939 | − | 0.0754633i | ||||
\(142\) | 3590.06 | + | 4074.28i | 0.178043 | + | 0.202057i | ||||
\(143\) | 717.053 | + | 717.053i | 0.0350654 | + | 0.0350654i | ||||
\(144\) | −8489.08 | + | 11281.7i | −0.409389 | + | 0.544064i | ||||
\(145\) | −19280.3 | − | 19280.3i | −0.917019 | − | 0.917019i | ||||
\(146\) | −22690.4 | − | 1433.54i | −1.06448 | − | 0.0672518i | ||||
\(147\) | 2299.29 | − | 1536.34i | 0.106404 | − | 0.0710972i | ||||
\(148\) | 1485.52 | + | 21138.3i | 0.0678198 | + | 0.965044i | ||||
\(149\) | −165.462 | − | 831.834i | −0.00745291 | − | 0.0374683i | 0.976880 | − | 0.213789i | \(-0.0685805\pi\) |
−0.984333 | + | 0.176321i | \(0.943580\pi\) | |||||||
\(150\) | −2775.72 | − | 4781.63i | −0.123365 | − | 0.212517i | ||||
\(151\) | −19969.3 | − | 8271.56i | −0.875809 | − | 0.362772i | −0.100939 | − | 0.994893i | \(-0.532185\pi\) |
−0.774870 | + | 0.632121i | \(0.782185\pi\) | |||||||
\(152\) | −182.958 | − | 25889.7i | −0.00791890 | − | 1.12057i | ||||
\(153\) | 10669.7 | + | 25758.9i | 0.455795 | + | 1.10039i | ||||
\(154\) | −618.462 | + | 809.939i | −0.0260779 | + | 0.0341516i | ||||
\(155\) | −36764.1 | − | 24565.0i | −1.53024 | − | 1.02248i | ||||
\(156\) | −6919.62 | + | 12116.6i | −0.284337 | + | 0.497888i | ||||
\(157\) | −11231.1 | − | 2234.01i | −0.455642 | − | 0.0906328i | −0.0380667 | − | 0.999275i | \(-0.512120\pi\) |
−0.417575 | + | 0.908642i | \(0.637120\pi\) | |||||||
\(158\) | 4806.63 | + | 2356.31i | 0.192542 | + | 0.0943883i | ||||
\(159\) | 4392.72 | 0.173756 | ||||||||
\(160\) | 15019.4 | − | 26736.8i | 0.586696 | − | 1.04440i | ||||
\(161\) | − | 22407.8i | − | 0.864467i | ||||||
\(162\) | −3404.87 | − | 1669.14i | −0.129739 | − | 0.0636007i | ||||
\(163\) | −3033.57 | + | 15250.8i | −0.114177 | + | 0.574007i | 0.880765 | + | 0.473554i | \(0.157029\pi\) |
−0.994942 | + | 0.100453i | \(0.967971\pi\) | |||||||
\(164\) | 6783.35 | + | 24847.0i | 0.252207 | + | 0.923816i | ||||
\(165\) | −500.088 | + | 748.435i | −0.0183687 | + | 0.0274907i | ||||
\(166\) | 8059.62 | − | 10554.9i | 0.292482 | − | 0.383034i | ||||
\(167\) | 5936.69 | − | 2459.06i | 0.212868 | − | 0.0881730i | −0.273701 | − | 0.961815i | \(-0.588248\pi\) |
0.486570 | + | 0.873642i | \(0.338248\pi\) | |||||||
\(168\) | −12992.3 | − | 5274.33i | −0.460328 | − | 0.186874i | ||||
\(169\) | 329.648 | − | 795.841i | 0.0115419 | − | 0.0278646i | ||||
\(170\) | −30402.9 | − | 52374.1i | −1.05200 | − | 1.81225i | ||||
\(171\) | 21882.2 | − | 4352.64i | 0.748340 | − | 0.148854i | ||||
\(172\) | −22594.2 | + | 26009.9i | −0.763729 | + | 0.879187i | ||||
\(173\) | 10789.6 | + | 16147.7i | 0.360506 | + | 0.539535i | 0.966743 | − | 0.255749i | \(-0.0823220\pi\) |
−0.606238 | + | 0.795284i | \(0.707322\pi\) | |||||||
\(174\) | −18478.9 | − | 1167.46i | −0.610347 | − | 0.0385606i | ||||
\(175\) | −8284.43 | + | 8284.43i | −0.270512 | + | 0.270512i | ||||
\(176\) | −1511.07 | − | 84.7503i | −0.0487820 | − | 0.00273600i | ||||
\(177\) | 15159.7 | − | 15159.7i | 0.483886 | − | 0.483886i | ||||
\(178\) | 23742.0 | + | 26944.3i | 0.749338 | + | 0.850406i | ||||
\(179\) | 1883.21 | + | 2818.43i | 0.0587752 | + | 0.0879632i | 0.859693 | − | 0.510811i | \(-0.170655\pi\) |
−0.800918 | + | 0.598774i | \(0.795655\pi\) | |||||||
\(180\) | 25064.0 | + | 8376.61i | 0.773581 | + | 0.258537i | ||||
\(181\) | −33598.8 | + | 6683.22i | −1.02557 | + | 0.203999i | −0.679088 | − | 0.734057i | \(-0.737625\pi\) |
−0.346485 | + | 0.938056i | \(0.612625\pi\) | |||||||
\(182\) | 28578.0 | + | 7585.34i | 0.862757 | + | 0.228998i | ||||
\(183\) | −2122.32 | + | 5123.73i | −0.0633737 | + | 0.152998i | ||||
\(184\) | 27538.8 | − | 18683.6i | 0.813408 | − | 0.551856i | ||||
\(185\) | 36643.8 | − | 15178.4i | 1.07067 | − | 0.443488i | ||||
\(186\) | −29759.2 | + | 3989.21i | −0.860192 | + | 0.115308i | ||||
\(187\) | −1660.43 | + | 2485.00i | −0.0474828 | + | 0.0710630i | ||||
\(188\) | 1069.56 | − | 8430.86i | 0.0302615 | − | 0.238537i | ||||
\(189\) | 5819.57 | − | 29256.9i | 0.162917 | − | 0.819040i | ||||
\(190\) | −45851.4 | + | 15685.0i | −1.27012 | + | 0.434488i | ||||
\(191\) | 46100.3i | 1.26368i | 0.775099 | + | 0.631839i | \(0.217700\pi\) | ||||
−0.775099 | + | 0.631839i | \(0.782300\pi\) | |||||||
\(192\) | −4350.92 | − | 20365.0i | −0.118026 | − | 0.552435i | ||||
\(193\) | −55246.1 | −1.48316 | −0.741578 | − | 0.670867i | \(-0.765922\pi\) | ||||
−0.741578 | + | 0.670867i | \(0.765922\pi\) | |||||||
\(194\) | 18513.3 | + | 54119.3i | 0.491905 | + | 1.43797i | ||||
\(195\) | 25615.0 | + | 5095.14i | 0.673635 | + | 0.133994i | ||||
\(196\) | 1095.26 | − | 8633.46i | 0.0285106 | − | 0.224736i | ||||
\(197\) | 614.298 | + | 410.461i | 0.0158288 | + | 0.0105764i | 0.563459 | − | 0.826144i | \(-0.309470\pi\) |
−0.547631 | + | 0.836720i | \(0.684470\pi\) | |||||||
\(198\) | −173.278 | − | 1292.64i | −0.00441991 | − | 0.0329722i | ||||
\(199\) | −15793.0 | − | 38127.6i | −0.398802 | − | 0.962793i | −0.987951 | − | 0.154768i | \(-0.950537\pi\) |
0.589149 | − | 0.808025i | \(-0.299463\pi\) | |||||||
\(200\) | −17088.9 | − | 3273.83i | −0.427223 | − | 0.0818458i | ||||
\(201\) | 8472.87 | + | 3509.58i | 0.209719 | + | 0.0868686i | ||||
\(202\) | 18298.3 | − | 68939.4i | 0.448444 | − | 1.68952i | ||||
\(203\) | 7654.48 | + | 38481.7i | 0.185748 | + | 0.933817i | ||||
\(204\) | −39002.9 | − | 13035.1i | −0.937209 | − | 0.313223i | ||||
\(205\) | 40084.3 | − | 26783.5i | 0.953820 | − | 0.637322i | ||||
\(206\) | −43325.6 | + | 38176.5i | −1.02096 | + | 0.899625i | ||||
\(207\) | 20278.1 | + | 20278.1i | 0.473247 | + | 0.473247i | ||||
\(208\) | 14506.1 | + | 41446.4i | 0.335292 | + | 0.957987i | ||||
\(209\) | 1691.10 | + | 1691.10i | 0.0387149 | + | 0.0387149i | ||||
\(210\) | −1654.85 | + | 26193.4i | −0.0375249 | + | 0.593954i | ||||
\(211\) | 29581.5 | − | 19765.7i | 0.664440 | − | 0.443965i | −0.177076 | − | 0.984197i | \(-0.556664\pi\) |
0.841516 | + | 0.540233i | \(0.181664\pi\) | |||||||
\(212\) | 9065.80 | − | 10436.3i | 0.201713 | − | 0.232208i | ||||
\(213\) | −1346.53 | − | 6769.48i | −0.0296796 | − | 0.149209i | ||||
\(214\) | 75436.7 | − | 43790.7i | 1.64723 | − | 0.956212i | ||||
\(215\) | 59578.2 | + | 24678.1i | 1.28887 | + | 0.533869i | ||||
\(216\) | 40808.5 | − | 17242.3i | 0.874667 | − | 0.369562i | ||||
\(217\) | 24348.3 | + | 58781.9i | 0.517069 | + | 1.24832i | ||||
\(218\) | 44655.5 | + | 34098.5i | 0.939641 | + | 0.717502i | ||||
\(219\) | 24027.6 | + | 16054.7i | 0.500982 | + | 0.334746i | ||||
\(220\) | 746.058 | + | 2732.76i | 0.0154144 | + | 0.0564621i | ||||
\(221\) | 85048.5 | + | 16917.2i | 1.74133 | + | 0.346373i | ||||
\(222\) | 11855.6 | − | 24184.1i | 0.240556 | − | 0.490709i | ||||
\(223\) | −26818.3 | −0.539288 | −0.269644 | − | 0.962960i | \(-0.586906\pi\) | ||||
−0.269644 | + | 0.962960i | \(0.586906\pi\) | |||||||
\(224\) | −39344.7 | + | 19982.2i | −0.784134 | + | 0.398241i | ||||
\(225\) | − | 14994.1i | − | 0.296180i | ||||||
\(226\) | 5424.61 | − | 11065.6i | 0.106207 | − | 0.216651i | ||||
\(227\) | 18414.7 | − | 92577.0i | 0.357366 | − | 1.79660i | −0.215014 | − | 0.976611i | \(-0.568980\pi\) |
0.572380 | − | 0.819988i | \(-0.306020\pi\) | |||||||
\(228\) | −16319.3 | + | 28575.9i | −0.313929 | + | 0.549706i | ||||
\(229\) | −4757.88 | + | 7120.67i | −0.0907282 | + | 0.135784i | −0.874057 | − | 0.485823i | \(-0.838520\pi\) |
0.783329 | + | 0.621607i | \(0.213520\pi\) | |||||||
\(230\) | −49506.1 | − | 37802.4i | −0.935843 | − | 0.714602i | ||||
\(231\) | 1196.67 | − | 495.677i | 0.0224259 | − | 0.00928912i | ||||
\(232\) | −40910.8 | + | 41493.2i | −0.760086 | + | 0.770905i | ||||
\(233\) | −22057.9 | + | 53252.4i | −0.406305 | + | 0.980907i | 0.579796 | + | 0.814761i | \(0.303132\pi\) |
−0.986101 | + | 0.166145i | \(0.946868\pi\) | |||||||
\(234\) | −32726.3 | + | 18997.4i | −0.597674 | + | 0.346947i | ||||
\(235\) | −15601.2 | + | 3103.27i | −0.282502 | + | 0.0561932i | ||||
\(236\) | −4729.86 | − | 67303.7i | −0.0849227 | − | 1.20841i | ||||
\(237\) | −3780.09 | − | 5657.30i | −0.0672985 | − | 0.100719i | ||||
\(238\) | −5494.54 | + | 86968.9i | −0.0970012 | + | 1.53536i | ||||
\(239\) | 40054.4 | − | 40054.4i | 0.701221 | − | 0.701221i | −0.263452 | − | 0.964673i | \(-0.584861\pi\) |
0.964673 | + | 0.263452i | \(0.0848610\pi\) | |||||||
\(240\) | −33570.9 | + | 19806.2i | −0.582828 | + | 0.343858i | ||||
\(241\) | 30221.0 | − | 30221.0i | 0.520325 | − | 0.520325i | −0.397345 | − | 0.917669i | \(-0.630068\pi\) |
0.917669 | + | 0.397345i | \(0.130068\pi\) | |||||||
\(242\) | −43834.8 | + | 38625.1i | −0.748494 | + | 0.659537i | ||||
\(243\) | 33828.1 | + | 50627.3i | 0.572881 | + | 0.857377i | ||||
\(244\) | 7793.01 | + | 15616.8i | 0.130896 | + | 0.262308i | ||||
\(245\) | −15976.1 | + | 3177.84i | −0.266157 | + | 0.0529420i | ||||
\(246\) | 8398.45 | − | 31641.4i | 0.138781 | − | 0.522860i | ||||
\(247\) | 26554.5 | − | 64108.1i | 0.435255 | − | 1.05080i | ||||
\(248\) | −51940.1 | + | 78935.8i | −0.844500 | + | 1.28343i | ||||
\(249\) | −15594.6 | + | 6459.51i | −0.251523 | + | 0.104184i | ||||
\(250\) | −5620.27 | − | 41926.8i | −0.0899243 | − | 0.670829i | ||||
\(251\) | −29213.7 | + | 43721.4i | −0.463702 | + | 0.693979i | −0.987457 | − | 0.157890i | \(-0.949531\pi\) |
0.523755 | + | 0.851869i | \(0.324531\pi\) | |||||||
\(252\) | −23291.4 | − | 30059.6i | −0.366770 | − | 0.473350i | ||||
\(253\) | −599.718 | + | 3014.98i | −0.00936927 | + | 0.0471025i | ||||
\(254\) | −34308.2 | − | 100292.i | −0.531779 | − | 1.55453i | ||||
\(255\) | 76972.3i | 1.18373i | ||||||||
\(256\) | −57363.2 | − | 31692.7i | −0.875293 | − | 0.483592i | ||||
\(257\) | 13038.2 | 0.197402 | 0.0987008 | − | 0.995117i | \(-0.468531\pi\) | ||||
0.0987008 | + | 0.995117i | \(0.468531\pi\) | |||||||
\(258\) | 41433.6 | − | 14173.7i | 0.622462 | − | 0.212934i | ||||
\(259\) | −55977.1 | − | 11134.5i | −0.834470 | − | 0.165986i | ||||
\(260\) | 64970.0 | − | 50341.3i | 0.961095 | − | 0.744694i | ||||
\(261\) | −41751.3 | − | 27897.3i | −0.612899 | − | 0.409526i | ||||
\(262\) | 15792.0 | − | 2116.92i | 0.230057 | − | 0.0308391i | ||||
\(263\) | −42891.0 | − | 103548.i | −0.620089 | − | 1.49703i | −0.851598 | − | 0.524195i | \(-0.824366\pi\) |
0.231509 | − | 0.972833i | \(-0.425634\pi\) | |||||||
\(264\) | 1606.96 | + | 1057.39i | 0.0230567 | + | 0.0151714i | ||||
\(265\) | −23905.5 | − | 9901.97i | −0.340412 | − | 0.141003i | ||||
\(266\) | 67398.6 | + | 17889.4i | 0.952550 | + | 0.252832i | ||||
\(267\) | −8904.97 | − | 44768.3i | −0.124914 | − | 0.627983i | ||||
\(268\) | 25824.7 | − | 12886.9i | 0.359555 | − | 0.179424i | ||||
\(269\) | −3251.35 | + | 2172.48i | −0.0449324 | + | 0.0300228i | −0.577834 | − | 0.816155i | \(-0.696102\pi\) |
0.532901 | + | 0.846177i | \(0.321102\pi\) | |||||||
\(270\) | −54820.2 | − | 62214.3i | −0.751992 | − | 0.853419i | ||||
\(271\) | −81171.0 | − | 81171.0i | −1.10525 | − | 1.10525i | −0.993766 | − | 0.111489i | \(-0.964438\pi\) |
−0.111489 | − | 0.993766i | \(-0.535562\pi\) | |||||||
\(272\) | −111464. | + | 65762.0i | −1.50660 | + | 0.888867i | ||||
\(273\) | −26573.9 | − | 26573.9i | −0.356558 | − | 0.356558i | ||||
\(274\) | 82199.5 | + | 5193.21i | 1.09488 | + | 0.0691727i | ||||
\(275\) | 1336.40 | − | 892.951i | 0.0176714 | − | 0.0118076i | ||||
\(276\) | −42194.0 | + | 2965.24i | −0.553901 | + | 0.0389262i | ||||
\(277\) | 2606.31 | + | 13102.8i | 0.0339677 | + | 0.170767i | 0.994045 | − | 0.108966i | \(-0.0347540\pi\) |
−0.960078 | + | 0.279733i | \(0.909754\pi\) | |||||||
\(278\) | 5620.08 | + | 9681.52i | 0.0727198 | + | 0.125272i | ||||
\(279\) | −75229.3 | − | 31161.0i | −0.966448 | − | 0.400316i | ||||
\(280\) | 58815.7 | + | 57990.2i | 0.750200 | + | 0.739671i | ||||
\(281\) | 57210.4 | + | 138118.i | 0.724541 | + | 1.74920i | 0.659982 | + | 0.751282i | \(0.270564\pi\) |
0.0645587 | + | 0.997914i | \(0.479436\pi\) | |||||||
\(282\) | −6555.49 | + | 8585.08i | −0.0824342 | + | 0.107956i | ||||
\(283\) | −112150. | − | 74936.1i | −1.40031 | − | 0.935660i | −0.999813 | − | 0.0193635i | \(-0.993836\pi\) |
−0.400501 | − | 0.916296i | \(-0.631164\pi\) | |||||||
\(284\) | −18862.1 | − | 10771.9i | −0.233859 | − | 0.133553i | ||||
\(285\) | 60410.6 | + | 12016.4i | 0.743744 | + | 0.147940i | ||||
\(286\) | −3642.17 | − | 1785.46i | −0.0445274 | − | 0.0218283i | ||||
\(287\) | −69371.1 | −0.842200 | ||||||||
\(288\) | 17522.3 | − | 53688.3i | 0.211255 | − | 0.647284i | ||||
\(289\) | 172047.i | 2.05993i | ||||||||
\(290\) | 97931.6 | + | 48008.1i | 1.16447 | + | 0.570845i | ||||
\(291\) | 14183.2 | − | 71303.9i | 0.167490 | − | 0.842029i | ||||
\(292\) | 87732.1 | − | 23951.3i | 1.02895 | − | 0.280908i | ||||
\(293\) | −90951.5 | + | 136119.i | −1.05944 | + | 1.58556i | −0.279032 | + | 0.960282i | \(0.590013\pi\) |
−0.780404 | + | 0.625276i | \(0.784987\pi\) | |||||||
\(294\) | −6713.03 | + | 8791.39i | −0.0776648 | + | 0.101710i | ||||
\(295\) | −116673. | + | 48327.4i | −1.34068 | + | 0.555327i | ||||
\(296\) | −32989.5 | − | 78078.6i | −0.376524 | − | 0.891145i | ||||
\(297\) | −1566.05 | + | 3780.78i | −0.0177539 | + | 0.0428616i | ||||
\(298\) | 1703.18 | + | 2934.01i | 0.0191791 | + | 0.0330391i | ||||
\(299\) | 87477.7 | − | 17400.4i | 0.978487 | − | 0.194633i | ||||
\(300\) | 16695.9 | + | 14503.3i | 0.185510 | + | 0.161148i | ||||
\(301\) | −51553.9 | − | 77155.9i | −0.569022 | − | 0.851601i | ||||
\(302\) | 86286.5 | + | 5451.42i | 0.946082 | + | 0.0597717i | ||||
\(303\) | −64105.0 | + | 64105.0i | −0.698243 | + | 0.698243i | ||||
\(304\) | 34211.3 | + | 97747.6i | 0.370188 | + | 1.05769i | ||||
\(305\) | 23099.6 | − | 23099.6i | 0.248316 | − | 0.248316i | ||||
\(306\) | −73730.9 | − | 83675.5i | −0.787420 | − | 0.893625i | ||||
\(307\) | 82813.2 | + | 123939.i | 0.878664 | + | 1.31501i | 0.948279 | + | 0.317439i | \(0.102823\pi\) |
−0.0696149 | + | 0.997574i | \(0.522177\pi\) | |||||||
\(308\) | 1292.07 | − | 3866.07i | 0.0136203 | − | 0.0407538i | ||||
\(309\) | 71986.1 | − | 14318.9i | 0.753932 | − | 0.149966i | ||||
\(310\) | 170944. | + | 45373.0i | 1.77882 | + | 0.472144i | ||||
\(311\) | 35988.1 | − | 86883.0i | 0.372082 | − | 0.898285i | −0.621315 | − | 0.783560i | \(-0.713401\pi\) |
0.993397 | − | 0.114725i | \(-0.0365985\pi\) | |||||||
\(312\) | 10501.5 | − | 54816.1i | 0.107880 | − | 0.563118i | ||||
\(313\) | 69485.9 | − | 28782.0i | 0.709264 | − | 0.293787i | 0.00126415 | − | 0.999999i | \(-0.499598\pi\) |
0.708000 | + | 0.706212i | \(0.249598\pi\) | |||||||
\(314\) | 45398.5 | − | 6085.65i | 0.460450 | − | 0.0617231i | ||||
\(315\) | −39543.8 | + | 59181.5i | −0.398527 | + | 0.596437i | ||||
\(316\) | −21242.2 | − | 2694.84i | −0.212729 | − | 0.0269873i | ||||
\(317\) | 11378.4 | − | 57202.9i | 0.113230 | − | 0.569245i | −0.881964 | − | 0.471317i | \(-0.843779\pi\) |
0.995194 | − | 0.0979276i | \(-0.0312214\pi\) | |||||||
\(318\) | −16625.0 | + | 5687.15i | −0.164402 | + | 0.0562393i | ||||
\(319\) | − | 5382.59i | − | 0.0528944i | ||||||
\(320\) | −22228.3 | + | 120635.i | −0.217073 | + | 1.17808i | ||||
\(321\) | −110867. | −1.07595 | ||||||||
\(322\) | 29010.9 | + | 84806.5i | 0.279801 | + | 0.817933i | ||||
\(323\) | 200579. | + | 39897.7i | 1.92256 | + | 0.382422i | ||||
\(324\) | 15047.3 | + | 1908.95i | 0.143341 | + | 0.0181846i | ||||
\(325\) | −38774.6 | − | 25908.4i | −0.367097 | − | 0.245286i | ||||
\(326\) | −8263.75 | − | 61646.9i | −0.0777574 | − | 0.580064i | ||||
\(327\) | −27328.8 | − | 65977.6i | −0.255579 | − | 0.617023i | ||||
\(328\) | −57841.6 | − | 85255.6i | −0.537641 | − | 0.792456i | ||||
\(329\) | 21147.1 | + | 8759.40i | 0.195370 | + | 0.0809249i | ||||
\(330\) | 923.694 | − | 3480.04i | 0.00848204 | − | 0.0319563i | ||||
\(331\) | −14083.1 | − | 70800.6i | −0.128541 | − | 0.646220i | −0.990305 | − | 0.138911i | \(-0.955640\pi\) |
0.861764 | − | 0.507310i | \(-0.169360\pi\) | |||||||
\(332\) | −16837.9 | + | 50381.5i | −0.152761 | + | 0.457083i | ||||
\(333\) | 60733.1 | − | 40580.6i | 0.547693 | − | 0.365957i | ||||
\(334\) | −19284.8 | + | 16992.8i | −0.172871 | + | 0.152326i | ||||
\(335\) | −38198.7 | − | 38198.7i | −0.340376 | − | 0.340376i | ||||
\(336\) | 56000.2 | + | 3140.84i | 0.496034 | + | 0.0278207i | ||||
\(337\) | −51925.1 | − | 51925.1i | −0.457212 | − | 0.457212i | 0.440527 | − | 0.897739i | \(-0.354792\pi\) |
−0.897739 | + | 0.440527i | \(0.854792\pi\) | |||||||
\(338\) | −217.256 | + | 3438.79i | −0.00190169 | + | 0.0301004i | ||||
\(339\) | −13024.0 | + | 8702.38i | −0.113330 | + | 0.0757249i | ||||
\(340\) | 182873. | + | 158857.i | 1.58195 | + | 1.37420i | ||||
\(341\) | −1702.85 | − | 8560.78i | −0.0146442 | − | 0.0736215i | ||||
\(342\) | −77182.0 | + | 44803.8i | −0.659878 | + | 0.383056i | ||||
\(343\) | 117248. | + | 48565.6i | 0.996588 | + | 0.412800i | ||||
\(344\) | 51837.3 | − | 127691.i | 0.438052 | − | 1.07906i | ||||
\(345\) | 30297.4 | + | 73144.3i | 0.254546 | + | 0.614529i | ||||
\(346\) | −61741.2 | − | 47145.0i | −0.515730 | − | 0.393807i | ||||
\(347\) | 2070.74 | + | 1383.62i | 0.0171975 | + | 0.0114910i | 0.564139 | − | 0.825680i | \(-0.309208\pi\) |
−0.546942 | + | 0.837171i | \(0.684208\pi\) | |||||||
\(348\) | 71448.1 | − | 19505.7i | 0.589973 | − | 0.161066i | ||||
\(349\) | −194909. | − | 38769.9i | −1.60023 | − | 0.318305i | −0.687283 | − | 0.726390i | \(-0.741197\pi\) |
−0.912944 | + | 0.408085i | \(0.866197\pi\) | |||||||
\(350\) | 20628.3 | − | 42079.6i | 0.168394 | − | 0.343507i | ||||
\(351\) | 118735. | 0.963749 | ||||||||
\(352\) | 5828.65 | − | 1635.60i | 0.0470416 | − | 0.0132005i | ||||
\(353\) | 125239.i | 1.00506i | 0.864560 | + | 0.502530i | \(0.167597\pi\) | ||||
−0.864560 | + | 0.502530i | \(0.832403\pi\) | |||||||
\(354\) | −37747.6 | + | 77001.4i | −0.301220 | + | 0.614458i | ||||
\(355\) | −7931.69 | + | 39875.3i | −0.0629374 | + | 0.316408i | ||||
\(356\) | −124740. | − | 71237.3i | −0.984251 | − | 0.562092i | ||||
\(357\) | 61535.3 | − | 92094.1i | 0.482823 | − | 0.722595i | ||||
\(358\) | −10776.3 | − | 8228.71i | −0.0840823 | − | 0.0642045i | ||||
\(359\) | −112329. | + | 46528.0i | −0.871568 | + | 0.361015i | −0.773221 | − | 0.634137i | \(-0.781356\pi\) |
−0.0983475 | + | 0.995152i | \(0.531356\pi\) | |||||||
\(360\) | −105704. | + | 746.994i | −0.815620 | + | 0.00576384i | ||||
\(361\) | 12754.6 | − | 30792.4i | 0.0978709 | − | 0.236281i | ||||
\(362\) | 118508. | − | 68793.4i | 0.904339 | − | 0.524964i | ||||
\(363\) | 72832.1 | − | 14487.2i | 0.552725 | − | 0.109944i | ||||
\(364\) | −117979. | + | 8291.14i | −0.890435 | + | 0.0625765i | ||||
\(365\) | −94569.7 | − | 141534.i | −0.709849 | − | 1.06236i | ||||
\(366\) | 1398.73 | − | 22139.4i | 0.0104417 | − | 0.165274i | ||||
\(367\) | −113248. | + | 113248.i | −0.840811 | + | 0.840811i | −0.988964 | − | 0.148153i | \(-0.952667\pi\) |
0.148153 | + | 0.988964i | \(0.452667\pi\) | |||||||
\(368\) | −80036.1 | + | 106365.i | −0.591004 | + | 0.785425i | ||||
\(369\) | 62777.9 | − | 62777.9i | 0.461057 | − | 0.461057i | ||||
\(370\) | −119034. | + | 104887.i | −0.869497 | + | 0.766159i | ||||
\(371\) | 20685.8 | + | 30958.4i | 0.150288 | + | 0.224922i | ||||
\(372\) | 107464. | − | 53626.4i | 0.776567 | − | 0.387519i | ||||
\(373\) | 120946. | − | 24057.7i | 0.869309 | − | 0.172916i | 0.259768 | − | 0.965671i | \(-0.416354\pi\) |
0.609541 | + | 0.792755i | \(0.291354\pi\) | |||||||
\(374\) | 3066.91 | − | 11554.7i | 0.0219259 | − | 0.0826064i | ||||
\(375\) | −20575.7 | + | 49674.1i | −0.146316 | + | 0.353238i | ||||
\(376\) | 6867.29 | + | 33292.8i | 0.0485746 | + | 0.235492i | ||||
\(377\) | −144284. | + | 59764.5i | −1.01516 | + | 0.420495i | ||||
\(378\) | 15853.1 | + | 118263.i | 0.110951 | + | 0.827683i | ||||
\(379\) | 101297. | − | 151601.i | 0.705207 | − | 1.05542i | −0.289943 | − | 0.957044i | \(-0.593636\pi\) |
0.995150 | − | 0.0983724i | \(-0.0313636\pi\) | |||||||
\(380\) | 153226. | − | 118726.i | 1.06112 | − | 0.822199i | ||||
\(381\) | −26283.8 | + | 132138.i | −0.181067 | + | 0.910284i | ||||
\(382\) | −59684.9 | − | 174475.i | −0.409014 | − | 1.19566i | ||||
\(383\) | 23940.3i | 0.163204i | 0.996665 | + | 0.0816022i | \(0.0260037\pi\) | ||||
−0.996665 | + | 0.0816022i | \(0.973996\pi\) | |||||||
\(384\) | 42832.9 | + | 71441.9i | 0.290479 | + | 0.484496i | ||||
\(385\) | −7629.70 | −0.0514738 | ||||||||
\(386\) | 209089. | − | 71525.8i | 1.40332 | − | 0.480052i | ||||
\(387\) | 116477. | + | 23168.7i | 0.777711 | + | 0.154696i | ||||
\(388\) | −140134. | − | 180856.i | −0.930851 | − | 1.20135i | ||||
\(389\) | −47140.6 | − | 31498.3i | −0.311527 | − | 0.208156i | 0.389971 | − | 0.920827i | \(-0.372485\pi\) |
−0.701498 | + | 0.712671i | \(0.747485\pi\) | |||||||
\(390\) | −103541. | + | 13879.6i | −0.680743 | + | 0.0912534i | ||||
\(391\) | 100595. | + | 242858.i | 0.657997 | + | 1.58855i | ||||
\(392\) | 7032.32 | + | 34092.9i | 0.0457642 | + | 0.221867i | ||||
\(393\) | −18710.1 | − | 7749.99i | −0.121141 | − | 0.0501783i | ||||
\(394\) | −2856.34 | − | 758.147i | −0.0184000 | − | 0.00488383i | ||||
\(395\) | 7818.93 | + | 39308.4i | 0.0501133 | + | 0.251937i | ||||
\(396\) | 2329.36 | + | 4667.90i | 0.0148541 | + | 0.0297667i | ||||
\(397\) | 148456. | − | 99195.1i | 0.941926 | − | 0.629375i | 0.0131092 | − | 0.999914i | \(-0.495827\pi\) |
0.928817 | + | 0.370539i | \(0.120827\pi\) | |||||||
\(398\) | 109134. | + | 123854.i | 0.688961 | + | 0.781886i | ||||
\(399\) | −62672.3 | − | 62672.3i | −0.393668 | − | 0.393668i | ||||
\(400\) | 68914.7 | − | 9734.22i | 0.430717 | − | 0.0608389i | ||||
\(401\) | 112554. | + | 112554.i | 0.699957 | + | 0.699957i | 0.964401 | − | 0.264444i | \(-0.0851885\pi\) |
−0.264444 | + | 0.964401i | \(0.585189\pi\) | |||||||
\(402\) | −36610.9 | − | 2313.01i | −0.226547 | − | 0.0143128i | ||||
\(403\) | −210571. | + | 140699.i | −1.29655 | + | 0.866325i | ||||
\(404\) | 20000.9 | + | 284604.i | 0.122543 | + | 1.74373i | ||||
\(405\) | −5538.69 | − | 27844.9i | −0.0337674 | − | 0.169760i | ||||
\(406\) | −78791.1 | − | 135731.i | −0.477997 | − | 0.823429i | ||||
\(407\) | 7233.74 | + | 2996.31i | 0.0436691 | + | 0.0180883i | ||||
\(408\) | 164490. | − | 1162.42i | 0.988140 | − | 0.00698301i | ||||
\(409\) | −65462.8 | − | 158041.i | −0.391335 | − | 0.944765i | −0.989650 | − | 0.143504i | \(-0.954163\pi\) |
0.598315 | − | 0.801261i | \(-0.295837\pi\) | |||||||
\(410\) | −117030. | + | 153263.i | −0.696195 | + | 0.911738i | ||||
\(411\) | −87043.6 | − | 58160.7i | −0.515292 | − | 0.344307i | ||||
\(412\) | 114548. | − | 200579.i | 0.674825 | − | 1.18165i | ||||
\(413\) | 178229. | + | 35452.0i | 1.04491 | + | 0.207845i | ||||
\(414\) | −103000. | − | 50492.7i | −0.600947 | − | 0.294597i | ||||
\(415\) | 99428.1 | 0.577315 | ||||||||
\(416\) | −108560. | − | 138081.i | −0.627314 | − | 0.797896i | ||||
\(417\) | − | 14228.6i | − | 0.0818256i | ||||||
\(418\) | −8589.73 | − | 4210.86i | −0.0491617 | − | 0.0241001i | ||||
\(419\) | 16420.1 | − | 82549.4i | 0.0935293 | − | 0.470203i | −0.905426 | − | 0.424504i | \(-0.860448\pi\) |
0.998955 | − | 0.0456992i | \(-0.0145516\pi\) | |||||||
\(420\) | −27648.9 | − | 101276.i | −0.156740 | − | 0.574128i | ||||
\(421\) | −9168.81 | + | 13722.1i | −0.0517308 | + | 0.0774205i | −0.856433 | − | 0.516258i | \(-0.827325\pi\) |
0.804703 | + | 0.593678i | \(0.202325\pi\) | |||||||
\(422\) | −86366.4 | + | 113106.i | −0.484976 | + | 0.635125i | ||||
\(423\) | −27064.1 | + | 11210.3i | −0.151256 | + | 0.0626522i | ||||
\(424\) | −20799.5 | + | 51235.5i | −0.115697 | + | 0.284996i | ||||
\(425\) | 52596.3 | − | 126979.i | 0.291190 | − | 0.702996i | ||||
\(426\) | 13860.5 | + | 23877.0i | 0.0763764 | + | 0.131571i | ||||
\(427\) | −46104.7 | + | 9170.79i | −0.252865 | + | 0.0502980i | ||||
\(428\) | −228809. | + | 263400.i | −1.24907 | + | 1.43790i | ||||
\(429\) | 2864.32 | + | 4286.75i | 0.0155635 | + | 0.0232924i | ||||
\(430\) | −257435. | − | 16264.2i | −1.39229 | − | 0.0879623i | ||||
\(431\) | 149950. | − | 149950.i | 0.807222 | − | 0.807222i | −0.176991 | − | 0.984213i | \(-0.556636\pi\) |
0.984213 | + | 0.176991i | \(0.0566362\pi\) | |||||||
\(432\) | −132124. | + | 118090.i | −0.707969 | + | 0.632771i | ||||
\(433\) | 113927. | − | 113927.i | 0.607646 | − | 0.607646i | −0.334684 | − | 0.942330i | \(-0.608630\pi\) |
0.942330 | + | 0.334684i | \(0.108630\pi\) | |||||||
\(434\) | −168254. | − | 190948.i | −0.893277 | − | 1.01376i | ||||
\(435\) | −77016.6 | − | 115263.i | −0.407011 | − | 0.609134i | ||||
\(436\) | −213153. | − | 71237.7i | −1.12129 | − | 0.374746i | ||||
\(437\) | 206308. | − | 41037.3i | 1.08032 | − | 0.214890i | ||||
\(438\) | −111723. | − | 29654.1i | −0.582361 | − | 0.154574i | ||||
\(439\) | 106131. | − | 256222.i | 0.550695 | − | 1.32950i | −0.366263 | − | 0.930511i | \(-0.619363\pi\) |
0.916958 | − | 0.398984i | \(-0.130637\pi\) | |||||||
\(440\) | −6361.64 | − | 9376.74i | −0.0328597 | − | 0.0484336i | ||||
\(441\) | −27714.4 | + | 11479.7i | −0.142505 | + | 0.0590273i | ||||
\(442\) | −343784. | + | 46084.1i | −1.75971 | + | 0.235888i | ||||
\(443\) | −122755. | + | 183715.i | −0.625504 | + | 0.936133i | 0.374456 | + | 0.927245i | \(0.377829\pi\) |
−0.999960 | + | 0.00888867i | \(0.997171\pi\) | |||||||
\(444\) | −13558.9 | + | 106878.i | −0.0687792 | + | 0.542155i | ||||
\(445\) | −52454.3 | + | 263706.i | −0.264887 | + | 1.33168i | ||||
\(446\) | 101499. | − | 34721.0i | 0.510258 | − | 0.174551i | ||||
\(447\) | − | 4312.00i | − | 0.0215806i | ||||||
\(448\) | 123037. | − | 126565.i | 0.613026 | − | 0.630604i | ||||
\(449\) | −66328.7 | −0.329010 | −0.164505 | − | 0.986376i | \(-0.552603\pi\) | ||||
−0.164505 | + | 0.986376i | \(0.552603\pi\) | |||||||
\(450\) | 19412.5 | + | 56747.9i | 0.0958643 | + | 0.280237i | ||||
\(451\) | 9333.92 | + | 1856.63i | 0.0458892 | + | 0.00912794i | ||||
\(452\) | −6203.97 | + | 48903.0i | −0.0303664 | + | 0.239364i | ||||
\(453\) | −91371.4 | − | 61052.4i | −0.445260 | − | 0.297513i | ||||
\(454\) | 50163.4 | + | 374215.i | 0.243375 | + | 1.81556i | ||||
\(455\) | 84714.8 | + | 204520.i | 0.409201 | + | 0.987898i | ||||
\(456\) | 24766.8 | − | 129279.i | 0.119108 | − | 0.621725i | ||||
\(457\) | −309643. | − | 128258.i | −1.48261 | − | 0.614119i | −0.512919 | − | 0.858437i | \(-0.671436\pi\) |
−0.969695 | + | 0.244318i | \(0.921436\pi\) | |||||||
\(458\) | 8788.09 | − | 33109.4i | 0.0418951 | − | 0.157841i | ||||
\(459\) | 68269.7 | + | 343215.i | 0.324043 | + | 1.62908i | ||||
\(460\) | 236307. | + | 78975.8i | 1.11676 | + | 0.373231i | ||||
\(461\) | 116395. | − | 77772.8i | 0.547688 | − | 0.365953i | −0.250730 | − | 0.968057i | \(-0.580671\pi\) |
0.798418 | + | 0.602104i | \(0.205671\pi\) | |||||||
\(462\) | −3887.27 | + | 3425.28i | −0.0182121 | + | 0.0160477i | ||||
\(463\) | 191588. | + | 191588.i | 0.893728 | + | 0.893728i | 0.994872 | − | 0.101144i | \(-0.0322503\pi\) |
−0.101144 | + | 0.994872i | \(0.532250\pi\) | |||||||
\(464\) | 101114. | − | 210005.i | 0.469652 | − | 0.975424i | ||||
\(465\) | −158957. | − | 158957.i | −0.735144 | − | 0.735144i | ||||
\(466\) | 14537.4 | − | 230101.i | 0.0669444 | − | 1.05961i | ||||
\(467\) | 3556.04 | − | 2376.07i | 0.0163055 | − | 0.0108950i | −0.547391 | − | 0.836877i | \(-0.684379\pi\) |
0.563696 | + | 0.825982i | \(0.309379\pi\) | |||||||
\(468\) | 99262.9 | − | 114269.i | 0.453206 | − | 0.521720i | ||||
\(469\) | 15165.3 | + | 76241.0i | 0.0689453 | + | 0.346612i | ||||
\(470\) | 55027.8 | − | 31943.4i | 0.249107 | − | 0.144606i | ||||
\(471\) | −53787.4 | − | 22279.5i | −0.242459 | − | 0.100430i | ||||
\(472\) | 105037. | + | 248599.i | 0.471477 | + | 1.11588i | ||||
\(473\) | 4871.62 | + | 11761.1i | 0.0217747 | + | 0.0525687i | ||||
\(474\) | 21630.8 | + | 16517.1i | 0.0962755 | + | 0.0735152i | ||||
\(475\) | −91446.5 | − | 61102.6i | −0.405303 | − | 0.270815i | ||||
\(476\) | −91801.6 | − | 336263.i | −0.405169 | − | 1.48411i | ||||
\(477\) | −46735.8 | − | 9296.33i | −0.205406 | − | 0.0408578i | ||||
\(478\) | −99735.7 | + | 203451.i | −0.436511 | + | 0.890438i | ||||
\(479\) | 295309. | 1.28708 | 0.643541 | − | 0.765412i | \(-0.277465\pi\) | ||||
0.643541 | + | 0.765412i | \(0.277465\pi\) | |||||||
\(480\) | 101413. | − | 118424.i | 0.440158 | − | 0.513992i | ||||
\(481\) | − | 227175.i | − | 0.981905i | ||||||
\(482\) | −75250.4 | + | 153503.i | −0.323903 | + | 0.660729i | ||||
\(483\) | 22225.5 | − | 111735.i | 0.0952703 | − | 0.478956i | ||||
\(484\) | 115894. | − | 202936.i | 0.494731 | − | 0.866298i | ||||
\(485\) | −237918. | + | 356069.i | −1.01145 | + | 1.51374i | ||||
\(486\) | −193574. | − | 147812.i | −0.819550 | − | 0.625801i | ||||
\(487\) | −217434. | + | 90063.9i | −0.916787 | + | 0.379746i | −0.790651 | − | 0.612267i | \(-0.790258\pi\) |
−0.126136 | + | 0.992013i | \(0.540258\pi\) | |||||||
\(488\) | −49712.7 | − | 49015.0i | −0.208751 | − | 0.205821i | ||||
\(489\) | −30253.4 | + | 73038.2i | −0.126519 | + | 0.305445i | ||||
\(490\) | 56350.2 | − | 32711.0i | 0.234695 | − | 0.136239i | ||||
\(491\) | 387246. | − | 77028.0i | 1.60629 | − | 0.319511i | 0.691169 | − | 0.722693i | \(-0.257096\pi\) |
0.915120 | + | 0.403182i | \(0.132096\pi\) | |||||||
\(492\) | 9179.91 | + | 130626.i | 0.0379235 | + | 0.539634i | ||||
\(493\) | −255715. | − | 382705.i | −1.05211 | − | 1.57460i | ||||
\(494\) | −17500.9 | + | 277008.i | −0.0717143 | + | 1.13511i | ||||
\(495\) | 6904.55 | − | 6904.55i | 0.0281790 | − | 0.0281790i | ||||
\(496\) | 94380.6 | − | 365993.i | 0.383636 | − | 1.48768i | ||||
\(497\) | 41368.1 | − | 41368.1i | 0.167476 | − | 0.167476i | ||||
\(498\) | 50657.8 | − | 44637.2i | 0.204262 | − | 0.179986i | ||||
\(499\) | 20382.1 | + | 30504.0i | 0.0818555 | + | 0.122505i | 0.870138 | − | 0.492808i | \(-0.164029\pi\) |
−0.788283 | + | 0.615313i | \(0.789029\pi\) | |||||||
\(500\) | 75552.6 | + | 151403.i | 0.302210 | + | 0.605612i | ||||
\(501\) | 32041.9 | − | 6373.54i | 0.127657 | − | 0.0253925i | ||||
\(502\) | 53959.5 | − | 203294.i | 0.214121 | − | 0.806708i | ||||
\(503\) | 34810.7 | − | 84040.5i | 0.137587 | − | 0.332164i | −0.840036 | − | 0.542531i | \(-0.817466\pi\) |
0.977622 | + | 0.210367i | \(0.0674660\pi\) | |||||||
\(504\) | 127068. | + | 83611.3i | 0.500236 | + | 0.329158i | ||||
\(505\) | 493368. | − | 204360.i | 1.93459 | − | 0.801332i | ||||
\(506\) | −1633.69 | − | 12187.2i | −0.00638070 | − | 0.0475995i | ||||
\(507\) | 2433.13 | − | 3641.44i | 0.00946564 | − | 0.0141663i | ||||
\(508\) | 259691. | + | 335155.i | 1.00631 | + | 1.29873i | ||||
\(509\) | −99976.6 | + | 502616.i | −0.385889 | + | 1.94000i | −0.0478827 | + | 0.998853i | \(0.515247\pi\) |
−0.338007 | + | 0.941144i | \(0.609753\pi\) | |||||||
\(510\) | −99654.2 | − | 291316.i | −0.383138 | − | 1.12001i | ||||
\(511\) | 244942.i | 0.938042i | ||||||||
\(512\) | 258133. | + | 45680.0i | 0.984701 | + | 0.174255i | ||||
\(513\) | 280026. | 1.06405 | ||||||||
\(514\) | −49345.3 | + | 16880.2i | −0.186776 | + | 0.0638928i | ||||
\(515\) | −424031. | − | 84345.0i | −1.59876 | − | 0.318013i | ||||
\(516\) | −138462. | + | 107286.i | −0.520035 | + | 0.402944i | ||||
\(517\) | −2610.91 | − | 1744.55i | −0.00976812 | − | 0.00652685i | ||||
\(518\) | 226271. | − | 30331.6i | 0.843275 | − | 0.113041i | ||||
\(519\) | 37785.1 | + | 91221.4i | 0.140277 | + | 0.338658i | ||||
\(520\) | −180715. | + | 274641.i | −0.668325 | + | 1.01568i | ||||
\(521\) | −45443.1 | − | 18823.1i | −0.167414 | − | 0.0693453i | 0.297402 | − | 0.954752i | \(-0.403880\pi\) |
−0.464817 | + | 0.885407i | \(0.653880\pi\) | |||||||
\(522\) | 194133. | + | 51528.0i | 0.712457 | + | 0.189105i | ||||
\(523\) | 41669.8 | + | 209488.i | 0.152342 | + | 0.765873i | 0.979110 | + | 0.203331i | \(0.0651766\pi\) |
−0.826769 | + | 0.562542i | \(0.809823\pi\) | |||||||
\(524\) | −57027.1 | + | 28457.4i | −0.207691 | + | 0.103641i | ||||
\(525\) | −49526.8 | + | 33092.7i | −0.179689 | + | 0.120064i | ||||
\(526\) | 296390. | + | 336366.i | 1.07125 | + | 1.21574i | ||||
\(527\) | −527778. | − | 527778.i | −1.90033 | − | 1.90033i | ||||
\(528\) | −7450.79 | − | 1921.38i | −0.0267260 | − | 0.00689199i | ||||
\(529\) | −6692.57 | − | 6692.57i | −0.0239156 | − | 0.0239156i | ||||
\(530\) | 103294. | + | 6525.95i | 0.367727 | + | 0.0232323i | ||||
\(531\) | −193372. | + | 129207.i | −0.685812 | + | 0.458245i | ||||
\(532\) | −278243. | + | 19553.9i | −0.983108 | + | 0.0690892i | ||||
\(533\) | −53868.9 | − | 270817.i | −0.189620 | − | 0.953283i | ||||
\(534\) | 91662.9 | + | 157905.i | 0.321448 | + | 0.553748i | ||||
\(535\) | 603343. | + | 249913.i | 2.10793 | + | 0.873135i | ||||
\(536\) | −81053.8 | + | 82207.5i | −0.282126 | + | 0.286142i | ||||
\(537\) | 6595.03 | + | 15921.8i | 0.0228701 | + | 0.0552133i | ||||
\(538\) | 9492.66 | − | 12431.6i | 0.0327962 | − | 0.0429499i | ||||
\(539\) | −2673.65 | − | 1786.48i | −0.00920296 | − | 0.00614922i | ||||
\(540\) | 288024. | + | 164487.i | 0.987738 | + | 0.564083i | ||||
\(541\) | 217856. | + | 43334.3i | 0.744346 | + | 0.148060i | 0.552672 | − | 0.833399i | \(-0.313608\pi\) |
0.191674 | + | 0.981459i | \(0.438608\pi\) | |||||||
\(542\) | 412297. | + | 202116.i | 1.40350 | + | 0.688022i | ||||
\(543\) | −174167. | −0.590699 | ||||||||
\(544\) | 336716. | − | 393198.i | 1.13780 | − | 1.32866i | ||||
\(545\) | 420659.i | 1.41624i | ||||||||
\(546\) | 134979. | + | 66169.2i | 0.452772 | + | 0.221958i | ||||
\(547\) | 53340.6 | − | 268162.i | 0.178272 | − | 0.896235i | −0.783292 | − | 0.621654i | \(-0.786461\pi\) |
0.961564 | − | 0.274581i | \(-0.0885390\pi\) | |||||||
\(548\) | −317823. | + | 86767.1i | −1.05834 | + | 0.288931i | ||||
\(549\) | 33423.6 | − | 50021.9i | 0.110894 | − | 0.165965i | ||||
\(550\) | −3901.75 | + | 5109.74i | −0.0128983 | + | 0.0168917i | ||||
\(551\) | −340281. | + | 140949.i | −1.12082 | + | 0.464258i | ||||
\(552\) | 155852. | − | 65850.0i | 0.511486 | − | 0.216112i | ||||
\(553\) | 22070.0 | − | 53281.7i | 0.0721692 | − | 0.174232i | ||||
\(554\) | −26827.9 | − | 46215.5i | −0.0874112 | − | 0.150580i | ||||
\(555\) | 197777. | − | 39340.3i | 0.642080 | − | 0.127718i | ||||
\(556\) | −33804.6 | − | 29365.3i | −0.109352 | − | 0.0949915i | ||||
\(557\) | 90952.0 | + | 136119.i | 0.293158 | + | 0.438742i | 0.948588 | − | 0.316514i | \(-0.102512\pi\) |
−0.655430 | + | 0.755256i | \(0.727512\pi\) | |||||||
\(558\) | 325062. | + | 20536.8i | 1.04399 | + | 0.0659576i | ||||
\(559\) | 261175. | − | 261175.i | 0.835810 | − | 0.835810i | ||||
\(560\) | −297677. | − | 143327.i | −0.949226 | − | 0.457038i | ||||
\(561\) | −10744.4 | + | 10744.4i | −0.0341394 | + | 0.0341394i | ||||
\(562\) | −395342. | − | 448664.i | −1.25170 | − | 1.42053i | ||||
\(563\) | −213604. | − | 319681.i | −0.673895 | − | 1.00856i | −0.998042 | − | 0.0625485i | \(-0.980077\pi\) |
0.324147 | − | 0.946007i | \(-0.394923\pi\) | |||||||
\(564\) | 13695.6 | − | 40979.0i | 0.0430548 | − | 0.128826i | ||||
\(565\) | 90494.4 | − | 18000.5i | 0.283482 | − | 0.0563880i | ||||
\(566\) | 521469. | + | 138411.i | 1.62778 | + | 0.432055i | ||||
\(567\) | −15633.7 | + | 37743.1i | −0.0486291 | + | 0.117401i | ||||
\(568\) | 85333.2 | + | 16347.8i | 0.264497 | + | 0.0506714i | ||||
\(569\) | −302388. | + | 125253.i | −0.933987 | + | 0.386870i | −0.797189 | − | 0.603729i | \(-0.793681\pi\) |
−0.136797 | + | 0.990599i | \(0.543681\pi\) | |||||||
\(570\) | −244192. | + | 32733.9i | −0.751593 | + | 0.100751i | ||||
\(571\) | −235052. | + | 351781.i | −0.720929 | + | 1.07895i | 0.272237 | + | 0.962230i | \(0.412237\pi\) |
−0.993165 | + | 0.116716i | \(0.962763\pi\) | |||||||
\(572\) | 16096.0 | + | 2041.99i | 0.0491957 | + | 0.00624109i | ||||
\(573\) | −45725.2 | + | 229876.i | −0.139266 | + | 0.700139i | ||||
\(574\) | 262548. | − | 89813.2i | 0.796864 | − | 0.272594i | ||||
\(575\) | − | 141366.i | − | 0.427573i | ||||||
\(576\) | 3192.65 | + | 225879.i | 0.00962291 | + | 0.680817i | ||||
\(577\) | −207607. | −0.623578 | −0.311789 | − | 0.950151i | \(-0.600928\pi\) | ||||
−0.311789 | + | 0.950151i | \(0.600928\pi\) | |||||||
\(578\) | −222746. | − | 651144.i | −0.666735 | − | 1.94904i | ||||
\(579\) | −275481. | − | 54796.5i | −0.821739 | − | 0.163454i | ||||
\(580\) | −432795. | − | 54905.5i | −1.28655 | − | 0.163215i | ||||
\(581\) | −118961. | − | 79487.5i | −0.352415 | − | 0.235476i | ||||
\(582\) | 38636.5 | + | 288225.i | 0.114065 | + | 0.850914i | ||||
\(583\) | −1954.72 | − | 4719.10i | −0.00575104 | − | 0.0138842i | ||||
\(584\) | −301029. | + | 204233.i | −0.882638 | + | 0.598825i | ||||
\(585\) | −261745. | − | 108418.i | −0.764833 | − | 0.316804i | ||||
\(586\) | 167993. | − | 632918.i | 0.489211 | − | 1.84311i | ||||
\(587\) | −90313.2 | − | 454035.i | −0.262105 | − | 1.31769i | −0.857594 | − | 0.514327i | \(-0.828042\pi\) |
0.595490 | − | 0.803363i | \(-0.296958\pi\) | |||||||
\(588\) | 14024.7 | − | 41963.8i | 0.0405637 | − | 0.121373i | ||||
\(589\) | −496613. | + | 331826.i | −1.43149 | + | 0.956489i | ||||
\(590\) | 379000. | − | 333957.i | 1.08877 | − | 0.959371i | ||||
\(591\) | 2656.04 | + | 2656.04i | 0.00760430 | + | 0.00760430i | ||||
\(592\) | 225941. | + | 252792.i | 0.644692 | + | 0.721306i | ||||
\(593\) | 320720. | + | 320720.i | 0.912046 | + | 0.912046i | 0.996433 | − | 0.0843872i | \(-0.0268933\pi\) |
−0.0843872 | + | 0.996433i | \(0.526893\pi\) | |||||||
\(594\) | 1032.11 | − | 16336.6i | 0.00292520 | − | 0.0463008i | ||||
\(595\) | −542476. | + | 362471.i | −1.53231 | + | 1.02386i | ||||
\(596\) | −10244.6 | − | 8899.21i | −0.0288404 | − | 0.0250530i | ||||
\(597\) | −40933.2 | − | 205785.i | −0.114849 | − | 0.577384i | ||||
\(598\) | −308547. | + | 179110.i | −0.862818 | + | 0.500862i | ||||
\(599\) | −371402. | − | 153840.i | −1.03512 | − | 0.428761i | −0.200563 | − | 0.979681i | \(-0.564277\pi\) |
−0.834558 | + | 0.550920i | \(0.814277\pi\) | |||||||
\(600\) | −81965.6 | − | 33274.6i | −0.227682 | − | 0.0924295i | ||||
\(601\) | −109229. | − | 263702.i | −0.302405 | − | 0.730070i | −0.999909 | − | 0.0134895i | \(-0.995706\pi\) |
0.697504 | − | 0.716581i | \(-0.254294\pi\) | |||||||
\(602\) | 295007. | + | 225265.i | 0.814028 | + | 0.621585i | ||||
\(603\) | −82718.8 | − | 55270.9i | −0.227494 | − | 0.152007i | ||||
\(604\) | −333625. | + | 91081.2i | −0.914501 | + | 0.249663i | ||||
\(605\) | −429014. | − | 85336.2i | −1.17209 | − | 0.233143i | ||||
\(606\) | 159622. | − | 325612.i | 0.434657 | − | 0.886656i | ||||
\(607\) | 221098. | 0.600076 | 0.300038 | − | 0.953927i | \(-0.403001\pi\) | ||||
0.300038 | + | 0.953927i | \(0.403001\pi\) | |||||||
\(608\) | −256030. | − | 325651.i | −0.692603 | − | 0.880937i | ||||
\(609\) | 199479.i | 0.537850i | ||||||||
\(610\) | −57518.2 | + | 117331.i | −0.154577 | + | 0.315322i | ||||
\(611\) | −17774.3 | + | 89357.7i | −0.0476114 | + | 0.239359i | ||||
\(612\) | 387381. | + | 221228.i | 1.03427 | + | 0.590658i | ||||
\(613\) | −9114.11 | + | 13640.2i | −0.0242545 | + | 0.0362995i | −0.843399 | − | 0.537288i | \(-0.819449\pi\) |
0.819144 | + | 0.573588i | \(0.194449\pi\) | |||||||
\(614\) | −473882. | − | 361852.i | −1.25699 | − | 0.959830i | ||||
\(615\) | 226443. | − | 93795.8i | 0.598700 | − | 0.247990i | ||||
\(616\) | 115.222 | + | 16304.7i | 0.000303651 | + | 0.0429685i | ||||
\(617\) | 134936. | − | 325764.i | 0.354451 | − | 0.855721i | −0.641608 | − | 0.767033i | \(-0.721732\pi\) |
0.996059 | − | 0.0886885i | \(-0.0282676\pi\) | |||||||
\(618\) | −253906. | + | 147391.i | −0.664808 | + | 0.385918i | ||||
\(619\) | 99035.5 | − | 19699.4i | 0.258470 | − | 0.0514128i | −0.0641545 | − | 0.997940i | \(-0.520435\pi\) |
0.322624 | + | 0.946527i | \(0.395435\pi\) | |||||||
\(620\) | −705712. | + | 49594.9i | −1.83588 | + | 0.129019i | ||||
\(621\) | 199969. | + | 299275.i | 0.518536 | + | 0.776044i | ||||
\(622\) | −23718.2 | + | 375418.i | −0.0613057 | + | 0.970362i | ||||
\(623\) | 273578. | − | 273578.i | 0.704864 | − | 0.704864i | ||||
\(624\) | 31224.4 | + | 221058.i | 0.0801910 | + | 0.567723i | ||||
\(625\) | 344100. | − | 344100.i | 0.880895 | − | 0.880895i | ||||
\(626\) | −225719. | + | 198892.i | −0.575995 | + | 0.507539i | ||||
\(627\) | 6755.24 | + | 10109.9i | 0.0171833 | + | 0.0257166i | ||||
\(628\) | −163940. | + | 81808.6i | −0.415686 | + | 0.207434i | ||||
\(629\) | 656671. | − | 130620.i | 1.65977 | − | 0.330148i | ||||
\(630\) | 73039.8 | − | 275179.i | 0.184026 | − | 0.693322i | ||||
\(631\) | −87425.7 | + | 211064.i | −0.219574 | + | 0.530098i | −0.994831 | − | 0.101548i | \(-0.967620\pi\) |
0.775257 | + | 0.631646i | \(0.217620\pi\) | |||||||
\(632\) | 83884.0 | − | 17302.7i | 0.210012 | − | 0.0433191i | ||||
\(633\) | 167111. | − | 69219.7i | 0.417060 | − | 0.172752i | ||||
\(634\) | 30995.8 | + | 231226.i | 0.0771123 | + | 0.575252i | ||||
\(635\) | 440901. | − | 659855.i | 1.09344 | − | 1.63644i | ||||
\(636\) | 55557.4 | − | 43048.1i | 0.137350 | − | 0.106424i | ||||
\(637\) | −18201.5 | + | 91505.0i | −0.0448568 | + | 0.225510i | ||||
\(638\) | 6968.71 | + | 20371.4i | 0.0171203 | + | 0.0500471i | ||||
\(639\) | 74872.8i | 0.183367i | ||||||||
\(640\) | −72056.9 | − | 485345.i | −0.175920 | − | 1.18492i | ||||
\(641\) | −161135. | −0.392169 | −0.196085 | − | 0.980587i | \(-0.562823\pi\) | ||||
−0.196085 | + | 0.980587i | \(0.562823\pi\) | |||||||
\(642\) | 419594. | − | 143536.i | 1.01803 | − | 0.348250i | ||||
\(643\) | 92943.3 | + | 18487.6i | 0.224800 | + | 0.0447155i | 0.306205 | − | 0.951966i | \(-0.400941\pi\) |
−0.0814050 | + | 0.996681i | \(0.525941\pi\) | |||||||
\(644\) | −219594. | − | 283406.i | −0.529479 | − | 0.683341i | ||||
\(645\) | 272605. | + | 182149.i | 0.655262 | + | 0.437832i | ||||
\(646\) | −810783. | + | 108685.i | −1.94285 | + | 0.260439i | ||||
\(647\) | −112547. | − | 271713.i | −0.268860 | − | 0.649085i | 0.730570 | − | 0.682837i | \(-0.239254\pi\) |
−0.999430 | + | 0.0337524i | \(0.989254\pi\) | |||||||
\(648\) | −59420.9 | + | 12256.7i | −0.141511 | + | 0.0291893i | ||||
\(649\) | −23032.0 | − | 9540.15i | −0.0546816 | − | 0.0226499i | ||||
\(650\) | 180292. | + | 47854.3i | 0.426728 | + | 0.113265i | ||||
\(651\) | 63107.4 | + | 317262.i | 0.148908 | + | 0.748612i | ||||
\(652\) | 111088. | + | 222615.i | 0.261321 | + | 0.523672i | ||||
\(653\) | −464752. | + | 310537.i | −1.08992 | + | 0.728262i | −0.964564 | − | 0.263850i | \(-0.915008\pi\) |
−0.125357 | + | 0.992112i | \(0.540008\pi\) | |||||||
\(654\) | 188851. | + | 214322.i | 0.441533 | + | 0.501085i | ||||
\(655\) | 84352.0 | + | 84352.0i | 0.196613 | + | 0.196613i | ||||
\(656\) | 329290. | + | 247779.i | 0.765194 | + | 0.575781i | ||||
\(657\) | −221662. | − | 221662.i | −0.513525 | − | 0.513525i | ||||
\(658\) | −91375.4 | − | 5772.93i | −0.211046 | − | 0.0133335i | ||||
\(659\) | 151639. | − | 101322.i | 0.349172 | − | 0.233309i | −0.368599 | − | 0.929589i | \(-0.620162\pi\) |
0.717771 | + | 0.696279i | \(0.245162\pi\) | |||||||
\(660\) | 1009.64 | + | 14366.7i | 0.00231782 | + | 0.0329815i | ||||
\(661\) | 167507. | + | 842114.i | 0.383380 | + | 1.92738i | 0.374006 | + | 0.927426i | \(0.377984\pi\) |
0.00937420 | + | 0.999956i | \(0.497016\pi\) | |||||||
\(662\) | 144964. | + | 249724.i | 0.330784 | + | 0.569830i | ||||
\(663\) | 407309. | + | 168713.i | 0.926610 | + | 0.383814i | ||||
\(664\) | −1501.54 | − | 212478.i | −0.00340566 | − | 0.481922i | ||||
\(665\) | 199792. | + | 482341.i | 0.451789 | + | 1.09071i | ||||
\(666\) | −177317. | + | 232214.i | −0.399762 | + | 0.523529i | ||||
\(667\) | −393636. | − | 263019.i | −0.884796 | − | 0.591202i | ||||
\(668\) | 50986.5 | − | 89280.0i | 0.114262 | − | 0.200079i | ||||
\(669\) | −133727. | − | 26600.0i | −0.298792 | − | 0.0594333i | ||||
\(670\) | 194025. | + | 95115.0i | 0.432223 | + | 0.211885i | ||||
\(671\) | 6448.85 | 0.0143231 | ||||||||
\(672\) | −216009. | + | 60615.1i | −0.478337 | + | 0.134228i | ||||
\(673\) | 403901.i | 0.891754i | 0.895094 | + | 0.445877i | \(0.147108\pi\) | ||||
−0.895094 | + | 0.445877i | \(0.852892\pi\) | |||||||
\(674\) | 263746. | + | 129294.i | 0.580586 | + | 0.284615i | ||||
\(675\) | 36714.4 | − | 184576.i | 0.0805803 | − | 0.405105i | ||||
\(676\) | −3629.87 | − | 13296.0i | −0.00794325 | − | 0.0290956i | ||||
\(677\) | 389629. | − | 583122.i | 0.850109 | − | 1.27228i | −0.110361 | − | 0.993892i | \(-0.535201\pi\) |
0.960469 | − | 0.278386i | \(-0.0897994\pi\) | |||||||
\(678\) | 38025.0 | − | 49797.6i | 0.0827199 | − | 0.108330i | ||||
\(679\) | 569317. | − | 235819.i | 1.23485 | − | 0.511492i | ||||
\(680\) | −897785. | − | 364463.i | −1.94158 | − | 0.788199i | ||||
\(681\) | 183647. | − | 443364.i | 0.395996 | − | 0.956018i | ||||
\(682\) | 17528.2 | + | 30195.2i | 0.0376850 | + | 0.0649186i | ||||
\(683\) | −113403. | + | 22557.3i | −0.243100 | + | 0.0483555i | −0.315136 | − | 0.949046i | \(-0.602050\pi\) |
0.0720365 | + | 0.997402i | \(0.477050\pi\) | |||||||
\(684\) | 234103. | − | 269494.i | 0.500374 | − | 0.576018i | ||||
\(685\) | 342593. | + | 512726.i | 0.730125 | + | 1.09271i | ||||
\(686\) | −506622. | − | 32007.4i | −1.07655 | − | 0.0680146i | ||||
\(687\) | −30787.6 | + | 30787.6i | −0.0652322 | + | 0.0652322i | ||||
\(688\) | −30868.9 | + | 550383.i | −0.0652146 | + | 1.16275i | ||||
\(689\) | −104795. | + | 104795.i | −0.220751 | + | 0.220751i | ||||
\(690\) | −209364. | − | 237603.i | −0.439748 | − | 0.499060i | ||||
\(691\) | 278699. | + | 417102.i | 0.583686 | + | 0.873548i | 0.999353 | − | 0.0359691i | \(-0.0114518\pi\) |
−0.415667 | + | 0.909517i | \(0.636452\pi\) | |||||||
\(692\) | 294708. | + | 98494.0i | 0.615432 | + | 0.205683i | ||||
\(693\) | −13780.8 | + | 2741.18i | −0.0286952 | + | 0.00570783i | ||||
\(694\) | −9628.43 | − | 2555.64i | −0.0199911 | − | 0.00530616i | ||||
\(695\) | −32073.7 | + | 77432.8i | −0.0664018 | + | 0.160308i | ||||
\(696\) | −245155. | + | 166325.i | −0.506083 | + | 0.343352i | ||||
\(697\) | 751851. | − | 311427.i | 1.54763 | − | 0.641048i | ||||
\(698\) | 787864. | − | 105613.i | 1.61711 | − | 0.216773i | ||||
\(699\) | −162809. | + | 243661.i | −0.333215 | + | 0.498692i | ||||
\(700\) | −23592.0 | + | 185965.i | −0.0481469 | + | 0.379520i | ||||
\(701\) | 21098.5 | − | 106069.i | 0.0429355 | − | 0.215851i | −0.953361 | − | 0.301831i | \(-0.902402\pi\) |
0.996297 | + | 0.0859800i | \(0.0274021\pi\) | |||||||
\(702\) | −449374. | + | 153723.i | −0.911871 | + | 0.311936i | ||||
\(703\) | − | 535771.i | − | 1.08410i | ||||||
\(704\) | −19942.0 | + | 13736.4i | −0.0402368 | + | 0.0277158i | ||||
\(705\) | −80872.3 | −0.162713 | ||||||||
\(706\) | −162145. | − | 473991.i | −0.325307 | − | 0.950957i | ||||
\(707\) | −753668. | − | 149914.i | −1.50779 | − | 0.299919i | ||||
\(708\) | 43170.9 | − | 340297.i | 0.0861241 | − | 0.678877i | ||||
\(709\) | 316462. | + | 211453.i | 0.629549 | + | 0.420651i | 0.828994 | − | 0.559258i | \(-0.188914\pi\) |
−0.199445 | + | 0.979909i | \(0.563914\pi\) | |||||||
\(710\) | −21606.7 | − | 161184.i | −0.0428619 | − | 0.319747i | ||||
\(711\) | 28245.3 | + | 68190.1i | 0.0558735 | + | 0.134891i | ||||
\(712\) | 564331. | + | 108112.i | 1.11320 | + | 0.213263i | ||||
\(713\) | −709271. | − | 293790.i | −1.39519 | − | 0.577907i | ||||
\(714\) | −113659. | + | 428215.i | −0.222951 | + | 0.839973i | ||||
\(715\) | −5924.70 | − | 29785.5i | −0.0115892 | − | 0.0582630i | ||||
\(716\) | 51438.5 | + | 17191.2i | 0.100337 | + | 0.0335336i | ||||
\(717\) | 239457. | − | 160000.i | 0.465789 | − | 0.311231i | ||||
\(718\) | 364889. | − | 321523.i | 0.707803 | − | 0.623682i | ||||
\(719\) | −205614. | − | 205614.i | −0.397736 | − | 0.397736i | 0.479698 | − | 0.877434i | \(-0.340746\pi\) |
−0.877434 | + | 0.479698i | \(0.840746\pi\) | |||||||
\(720\) | 399090. | − | 139680.i | 0.769850 | − | 0.269445i | ||||
\(721\) | 439906. | + | 439906.i | 0.846231 | + | 0.846231i | ||||
\(722\) | −8406.02 | + | 133053.i | −0.0161256 | + | 0.255240i | ||||
\(723\) | 180670. | − | 120720.i | 0.345628 | − | 0.230942i | ||||
\(724\) | −359450. | + | 413791.i | −0.685744 | + | 0.789412i | ||||
\(725\) | 48290.5 | + | 242773.i | 0.0918726 | + | 0.461875i | ||||
\(726\) | −256890. | + | 149123.i | −0.487387 | + | 0.282926i | ||||
\(727\) | 196342. | + | 81327.5i | 0.371488 | + | 0.153875i | 0.560613 | − | 0.828078i | \(-0.310565\pi\) |
−0.189126 | + | 0.981953i | \(0.560565\pi\) | |||||||
\(728\) | 435779. | − | 184124.i | 0.822249 | − | 0.347414i | ||||
\(729\) | 89080.6 | + | 215060.i | 0.167621 | + | 0.404673i | ||||
\(730\) | 541156. | + | 413222.i | 1.01549 | + | 0.775422i | ||||
\(731\) | 905122. | + | 604783.i | 1.69384 | + | 1.13179i | ||||
\(732\) | 23369.6 | + | 85601.5i | 0.0436144 | + | 0.159757i | ||||
\(733\) | 588639. | + | 117088.i | 1.09557 | + | 0.217923i | 0.709612 | − | 0.704593i | \(-0.248870\pi\) |
0.385960 | + | 0.922515i | \(0.373870\pi\) | |||||||
\(734\) | 281988. | − | 575227.i | 0.523406 | − | 1.06770i | ||||
\(735\) | −82815.7 | −0.153299 | ||||||||
\(736\) | 165202. | − | 506180.i | 0.304973 | − | 0.934436i | ||||
\(737\) | − | 10664.1i | − | 0.0196332i | ||||||
\(738\) | −156317. | + | 318871.i | −0.287008 | + | 0.585468i | ||||
\(739\) | 89708.3 | − | 450994.i | 0.164265 | − | 0.825814i | −0.807501 | − | 0.589866i | \(-0.799181\pi\) |
0.971766 | − | 0.235948i | \(-0.0758194\pi\) | |||||||
\(740\) | 314711. | − | 551075.i | 0.574710 | − | 1.00635i | ||||
\(741\) | 195999. | − | 293332.i | 0.356957 | − | 0.534224i | ||||
\(742\) | −118370. | − | 90386.5i | −0.214998 | − | 0.164171i | ||||
\(743\) | −756015. | + | 313152.i | −1.36947 | + | 0.567253i | −0.941645 | − | 0.336608i | \(-0.890720\pi\) |
−0.427826 | + | 0.903861i | \(0.640720\pi\) | |||||||
\(744\) | −337290. | + | 342091.i | −0.609336 | + | 0.618010i | ||||
\(745\) | −9720.02 | + | 23466.2i | −0.0175128 | + | 0.0422795i | ||||
\(746\) | −426596. | + | 247637.i | −0.766547 | + | 0.444977i | ||||
\(747\) | 179588. | − | 35722.2i | 0.321837 | − | 0.0640173i | ||||
\(748\) | 3352.28 | + | 47701.3i | 0.00599151 | + | 0.0852565i | ||||
\(749\) | −522083. | − | 781352.i | −0.930627 | − | 1.39278i | ||||
\(750\) | 13560.5 | − | 214640.i | 0.0241076 | − | 0.381582i | ||||
\(751\) | −293400. | + | 293400.i | −0.520211 | + | 0.520211i | −0.917635 | − | 0.397424i | \(-0.869904\pi\) |
0.397424 | + | 0.917635i | \(0.369904\pi\) | |||||||
\(752\) | −69094.0 | − | 117112.i | −0.122181 | − | 0.207093i | ||||
\(753\) | −189038. | + | 189038.i | −0.333394 | + | 0.333394i | ||||
\(754\) | 468694. | − | 412991.i | 0.824417 | − | 0.726437i | ||||
\(755\) | 359626. | + | 538219.i | 0.630896 | + | 0.944202i | ||||
\(756\) | −213111. | − | 427062.i | −0.372873 | − | 0.747218i | ||||
\(757\) | −420571. | + | 83656.8i | −0.733918 | + | 0.145985i | −0.547880 | − | 0.836557i | \(-0.684565\pi\) |
−0.186038 | + | 0.982542i | \(0.559565\pi\) | |||||||
\(758\) | −187101. | + | 704908.i | −0.325640 | + | 1.22686i | ||||
\(759\) | −5980.90 | + | 14439.2i | −0.0103821 | + | 0.0250645i | ||||
\(760\) | −426200. | + | 647716.i | −0.737882 | + | 1.12139i | ||||
\(761\) | −818947. | + | 339219.i | −1.41412 | + | 0.585748i | −0.953376 | − | 0.301785i | \(-0.902417\pi\) |
−0.460744 | + | 0.887533i | \(0.652417\pi\) | |||||||
\(762\) | −71599.7 | − | 534128.i | −0.123311 | − | 0.919890i | ||||
\(763\) | 336295. | − | 503301.i | 0.577658 | − | 0.864527i | ||||
\(764\) | 451777. | + | 583059.i | 0.773993 | + | 0.998909i | ||||
\(765\) | 162897. | − | 818938.i | 0.278349 | − | 1.39936i | ||||
\(766\) | −30994.9 | − | 90606.4i | −0.0528243 | − | 0.154419i | ||||
\(767\) | 723316.i | 1.22952i | ||||||||
\(768\) | −254603. | − | 214930.i | −0.431659 | − | 0.364397i | ||||
\(769\) | 126884. | 0.214563 | 0.107282 | − | 0.994229i | \(-0.465785\pi\) | ||||
0.107282 | + | 0.994229i | \(0.465785\pi\) | |||||||
\(770\) | 28876.0 | − | 9877.99i | 0.0487030 | − | 0.0166605i | ||||
\(771\) | 65014.0 | + | 12932.1i | 0.109370 | + | 0.0217550i | ||||
\(772\) | −698731. | + | 541404.i | −1.17240 | + | 0.908421i | ||||
\(773\) | −412818. | − | 275836.i | −0.690875 | − | 0.461628i | 0.159917 | − | 0.987130i | \(-0.448877\pi\) |
−0.850792 | + | 0.525503i | \(0.823877\pi\) | |||||||
\(774\) | −470824. | + | 63113.8i | −0.785917 | + | 0.105352i | ||||
\(775\) | 153608. | + | 370843.i | 0.255747 | + | 0.617428i | ||||
\(776\) | 764512. | + | 503053.i | 1.26958 | + | 0.835391i | ||||
\(777\) | −268082. | − | 111043.i | −0.444044 | − | 0.183929i | ||||
\(778\) | 219192. | + | 58179.3i | 0.362131 | + | 0.0961190i | ||||
\(779\) | −127045. | − | 638698.i | −0.209355 | − | 1.05250i | ||||
\(780\) | 373900. | − | 186582.i | 0.614563 | − | 0.306677i | ||||
\(781\) | −6673.27 | + | 4458.93i | −0.0109405 | + | 0.00731019i | ||||
\(782\) | −695144. | − | 788903.i | −1.13674 | − | 1.29006i | ||||
\(783\) | −445644. | − | 445644.i | −0.726884 | − | 0.726884i | ||||
\(784\) | −70754.4 | − | 119926.i | −0.115112 | − | 0.195111i | ||||
\(785\) | 242493. | + | 242493.i | 0.393513 | + | 0.393513i | ||||
\(786\) | 80845.6 | + | 5107.68i | 0.130861 | + | 0.00826758i | ||||
\(787\) | 90461.2 | − | 60444.2i | 0.146054 | − | 0.0975900i | −0.480396 | − | 0.877051i | \(-0.659507\pi\) |
0.626450 | + | 0.779461i | \(0.284507\pi\) | |||||||
\(788\) | 11791.9 | − | 828.690i | 0.0189903 | − | 0.00133457i | ||||
\(789\) | −111168. | − | 558877.i | −0.178576 | − | 0.897764i | ||||
\(790\) | −80483.9 | − | 138647.i | −0.128960 | − | 0.222155i | ||||
\(791\) | −122663. | − | 50808.7i | −0.196047 | − | 0.0812055i | ||||
\(792\) | −14859.3 | − | 14650.8i | −0.0236891 | − | 0.0233566i | ||||
\(793\) | −71603.5 | − | 172866.i | −0.113864 | − | 0.274893i | ||||
\(794\) | −433433. | + | 567625.i | −0.687513 | + | 0.900368i | ||||
\(795\) | −109382. | − | 73086.4i | −0.173065 | − | 0.115639i | ||||
\(796\) | −573389. | − | 327454.i | −0.904947 | − | 0.516802i | ||||
\(797\) | −157886. | − | 31405.4i | −0.248557 | − | 0.0494411i | 0.0692393 | − | 0.997600i | \(-0.477943\pi\) |
−0.317796 | + | 0.948159i | \(0.602943\pi\) | |||||||
\(798\) | 318335. | + | 156054.i | 0.499895 | + | 0.245059i | ||||
\(799\) | −268517. | −0.420609 | ||||||||
\(800\) | −248218. | + | 126063.i | −0.387840 | + | 0.196974i | ||||
\(801\) | 495153.i | 0.771746i | ||||||||
\(802\) | −571701. | − | 280259.i | −0.888833 | − | 0.435724i | ||||
\(803\) | 6555.57 | − | 32957.1i | 0.0101667 | − | 0.0511114i | ||||
\(804\) | 141555. | − | 38645.2i | 0.218984 | − | 0.0597839i | ||||
\(805\) | −372824. | + | 557971.i | −0.575323 | + | 0.861032i | ||||
\(806\) | 614784. | − | 805122.i | 0.946351 | − | 1.23934i | ||||
\(807\) | −18367.4 | + | 7608.05i | −0.0282034 | + | 0.0116822i | ||||
\(808\) | −444167. | − | 1.05124e6i | −0.680336 | − | 1.61020i | ||||
\(809\) | −220205. | + | 531621.i | −0.336457 | + | 0.812279i | 0.661593 | + | 0.749863i | \(0.269881\pi\) |
−0.998050 | + | 0.0624161i | \(0.980119\pi\) | |||||||
\(810\) | 57012.3 | + | 98213.2i | 0.0868958 | + | 0.149693i | ||||
\(811\) | 406585. | − | 80874.8i | 0.618172 | − | 0.122962i | 0.123937 | − | 0.992290i | \(-0.460448\pi\) |
0.494236 | + | 0.869328i | \(0.335448\pi\) | |||||||
\(812\) | 473927. | + | 411689.i | 0.718785 | + | 0.624392i | ||||
\(813\) | −324243. | − | 485264.i | −0.490558 | − | 0.734171i | ||||
\(814\) | −31256.6 | − | 1974.74i | −0.0471730 | − | 0.00298030i | ||||
\(815\) | 329282. | − | 329282.i | 0.495739 | − | 0.495739i | ||||
\(816\) | −621036. | + | 217360.i | −0.932688 | + | 0.326437i | ||||
\(817\) | 615957. | − | 615957.i | 0.922798 | − | 0.922798i | ||||
\(818\) | 452368. | + | 513383.i | 0.676061 | + | 0.767246i | ||||
\(819\) | 226492. | + | 338969.i | 0.337664 | + | 0.505350i | ||||
\(820\) | 244496. | − | 731568.i | 0.363618 | − | 1.08800i | ||||
\(821\) | 756097. | − | 150397.i | 1.12174 | − | 0.223128i | 0.400826 | − | 0.916154i | \(-0.368723\pi\) |
0.720912 | + | 0.693027i | \(0.243723\pi\) | |||||||
\(822\) | 404731. | + | 107426.i | 0.598995 | + | 0.158989i | ||||
\(823\) | −390397. | + | 942502.i | −0.576377 | + | 1.39150i | 0.319666 | + | 0.947530i | \(0.396429\pi\) |
−0.896043 | + | 0.443968i | \(0.853571\pi\) | |||||||
\(824\) | −173842. | + | 907428.i | −0.256035 | + | 1.33647i | ||||
\(825\) | 7549.53 | − | 3127.12i | 0.0110921 | − | 0.00459448i | ||||
\(826\) | −720439. | + | 96574.6i | −1.05593 | + | 0.141548i | ||||
\(827\) | −667871. | + | 999540.i | −0.976521 | + | 1.46147i | −0.0915617 | + | 0.995799i | \(0.529186\pi\) |
−0.884960 | + | 0.465668i | \(0.845814\pi\) | |||||||
\(828\) | 455194. | + | 57747.1i | 0.663950 | + | 0.0842305i | ||||
\(829\) | 124110. | − | 623945.i | 0.180592 | − | 0.907899i | −0.779112 | − | 0.626885i | \(-0.784329\pi\) |
0.959704 | − | 0.281013i | \(-0.0906705\pi\) | |||||||
\(830\) | −376304. | + | 128727.i | −0.546238 | + | 0.186859i | ||||
\(831\) | 67921.3i | 0.0983566i | ||||||||
\(832\) | 589637. | + | 382040.i | 0.851800 | + | 0.551903i | ||||
\(833\) | −274970. | −0.396274 | ||||||||
\(834\) | 18421.4 | + | 53850.6i | 0.0264844 | + | 0.0774209i | ||||
\(835\) | −188742. | − | 37543.0i | −0.270704 | − | 0.0538464i | ||||
\(836\) | 37961.1 | + | 4815.84i | 0.0543158 | + | 0.00689064i | ||||
\(837\) | −849764. | − | 567794.i | −1.21296 | − | 0.810475i | ||||
\(838\) | 44729.9 | + | 333682.i | 0.0636957 | + | 0.475165i | ||||
\(839\) | −75346.9 | − | 181904.i | −0.107039 | − | 0.258415i | 0.861280 | − | 0.508130i | \(-0.169663\pi\) |
−0.968319 | + | 0.249715i | \(0.919663\pi\) | |||||||
\(840\) | 235762. | + | 347501.i | 0.334130 | + | 0.492491i | ||||
\(841\) | 112408. | + | 46561.0i | 0.158930 | + | 0.0658309i | ||||
\(842\) | 16935.4 | − | 63804.4i | 0.0238875 | − | 0.0899967i | ||||
\(843\) | 148282. | + | 745462.i | 0.208657 | + | 1.04899i | ||||
\(844\) | 180434. | − | 539885.i | 0.253299 | − | 0.757908i | ||||
\(845\) | −21449.7 | + | 14332.3i | −0.0300406 | + | 0.0200725i | ||||
\(846\) | 87915.1 | − | 77466.6i | 0.122835 | − | 0.108237i | ||||
\(847\) | 445075. | + | 445075.i | 0.620393 | + | 0.620393i | ||||
\(848\) | 12386.0 | − | 220839.i | 0.0172242 | − | 0.307102i | ||||
\(849\) | −484901. | − | 484901.i | −0.672725 | − | 0.672725i | ||||
\(850\) | −34663.9 | + | 548669.i | −0.0479777 | + | 0.759403i | ||||
\(851\) | 572600. | − | 382599.i | 0.790664 | − | 0.528305i | ||||
\(852\) | −83370.5 | − | 72422.0i | −0.114851 | − | 0.0997679i | ||||
\(853\) | −158748. | − | 798078.i | −0.218177 | − | 1.09685i | −0.922212 | − | 0.386685i | \(-0.873620\pi\) |
0.704035 | − | 0.710165i | \(-0.251380\pi\) | |||||||
\(854\) | 162618. | − | 94399.1i | 0.222974 | − | 0.129435i | ||||
\(855\) | −617302. | − | 255695.i | −0.844433 | − | 0.349776i | ||||
\(856\) | 524952. | − | 1.29312e6i | 0.716428 | − | 1.76478i | ||||
\(857\) | −251842. | − | 608001.i | −0.342900 | − | 0.827833i | −0.997420 | − | 0.0717886i | \(-0.977129\pi\) |
0.654520 | − | 0.756045i | \(-0.272871\pi\) | |||||||
\(858\) | −16390.5 | − | 12515.6i | −0.0222647 | − | 0.0170011i | ||||
\(859\) | 226252. | + | 151177.i | 0.306624 | + | 0.204879i | 0.699356 | − | 0.714773i | \(-0.253470\pi\) |
−0.392733 | + | 0.919653i | \(0.628470\pi\) | |||||||
\(860\) | 995365. | − | 271740.i | 1.34582 | − | 0.367414i | ||||
\(861\) | −345914. | − | 68806.7i | −0.466619 | − | 0.0928163i | ||||
\(862\) | −373377. | + | 761652.i | −0.502497 | + | 1.02504i | ||||
\(863\) | 459285. | 0.616681 | 0.308341 | − | 0.951276i | \(-0.400226\pi\) | ||||
0.308341 | + | 0.951276i | \(0.400226\pi\) | |||||||
\(864\) | 347158. | − | 617992.i | 0.465050 | − | 0.827857i | ||||
\(865\) | − | 581608.i | − | 0.777316i | ||||||
\(866\) | −283679. | + | 578676.i | −0.378261 | + | 0.771613i | ||||
\(867\) | −170647. | + | 857902.i | −0.227019 | + | 1.14130i | ||||
\(868\) | 884003. | + | 504842.i | 1.17331 | + | 0.670063i | ||||
\(869\) | −4395.55 | + | 6578.40i | −0.00582067 | + | 0.00871125i | ||||
\(870\) | 440712. | + | 336524.i | 0.582259 | + | 0.444608i | ||||
\(871\) | −285860. | + | 118407.i | −0.376806 | + | 0.156078i | ||||
\(872\) | 898948. | − | 6352.70i | 1.18223 | − | 0.00835460i | ||||
\(873\) | −301802. | + | 728614.i | −0.395998 | + | 0.956024i | ||||
\(874\) | −727681. | + | 422416.i | −0.952617 | + | 0.552990i | ||||
\(875\) | −446981. | + | 88910.0i | −0.583811 | + | 0.116127i | ||||
\(876\) | 461227. | − | 32413.3i | 0.601044 | − | 0.0422392i | ||||
\(877\) | 62917.4 | + | 94162.6i | 0.0818035 | + | 0.122428i | 0.870115 | − | 0.492849i | \(-0.164044\pi\) |
−0.788311 | + | 0.615276i | \(0.789044\pi\) | |||||||
\(878\) | −69945.9 | + | 1.10712e6i | −0.0907347 | + | 1.43617i | ||||
\(879\) | −588534. | + | 588534.i | −0.761718 | + | 0.761718i | ||||
\(880\) | 36216.6 | + | 27251.7i | 0.0467673 | + | 0.0351907i | ||||
\(881\) | −701126. | + | 701126.i | −0.903325 | + | 0.903325i | −0.995722 | − | 0.0923969i | \(-0.970547\pi\) |
0.0923969 | + | 0.995722i | \(0.470547\pi\) | |||||||
\(882\) | 90027.8 | − | 79328.2i | 0.115728 | − | 0.101974i | ||||
\(883\) | −499276. | − | 747219.i | −0.640353 | − | 0.958355i | −0.999684 | − | 0.0251452i | \(-0.991995\pi\) |
0.359331 | − | 0.933210i | \(-0.383005\pi\) | |||||||
\(884\) | 1.24145e6 | − | 619502.i | 1.58863 | − | 0.792754i | ||||
\(885\) | −629714. | + | 125258.i | −0.804002 | + | 0.159926i | ||||
\(886\) | 226735. | − | 854231.i | 0.288836 | − | 1.08820i | ||||
\(887\) | −40968.1 | + | 98905.8i | −0.0520714 | + | 0.125711i | −0.947775 | − | 0.318941i | \(-0.896673\pi\) |
0.895703 | + | 0.444652i | \(0.146673\pi\) | |||||||
\(888\) | −87056.9 | − | 422055.i | −0.110402 | − | 0.535233i | ||||
\(889\) | −1.05504e6 | + | 437011.i | −1.33495 | + | 0.552954i | ||||
\(890\) | −142891. | − | 1.06595e6i | −0.180395 | − | 1.34573i | ||||
\(891\) | 3113.67 | − | 4659.94i | 0.00392209 | − | 0.00586982i | ||||
\(892\) | −339187. | + | 262816.i | −0.426295 | + | 0.330310i | ||||
\(893\) | −41919.2 | + | 210742.i | −0.0525666 | + | 0.264270i | ||||
\(894\) | 5582.64 | + | 16319.5i | 0.00698498 | + | 0.0204189i | ||||
\(895\) | − | 101514.i | − | 0.126730i | ||||||
\(896\) | −301795. | + | 638300.i | −0.375920 | + | 0.795077i | ||||
\(897\) | 453461. | 0.563579 | ||||||||
\(898\) | 251033. | − | 85874.3i | 0.311300 | − | 0.106490i | ||||
\(899\) | 1.31841e6 | + | 262248.i | 1.63129 | + | 0.324484i | ||||
\(900\) | −146940. | − | 189640.i | −0.181408 | − | 0.234123i | ||||
\(901\) | −363176. | − | 242666.i | −0.447370 | − | 0.298923i | ||||
\(902\) | −37729.6 | + | 5057.64i | −0.0463735 | + | 0.00621635i | ||||
\(903\) | −180542. | − | 435867.i | −0.221413 | − | 0.534538i | ||||
\(904\) | −39833.6 | − | 193115.i | −0.0487430 | − | 0.236308i | ||||
\(905\) | 947829. | + | 392604.i | 1.15726 | + | 0.479355i | ||||
\(906\) | 424855. | + | 112768.i | 0.517588 | + | 0.137381i | ||||
\(907\) | 99105.3 | + | 498236.i | 0.120471 | + | 0.605648i | 0.993101 | + | 0.117266i | \(0.0374129\pi\) |
−0.872630 | + | 0.488382i | \(0.837587\pi\) | |||||||
\(908\) | −674341. | − | 1.35134e6i | −0.817914 | − | 1.63905i | ||||
\(909\) | 817704. | − | 546372.i | 0.989619 | − | 0.661242i | ||||
\(910\) | −585405. | − | 664363.i | −0.706926 | − | 0.802274i | ||||
\(911\) | 164937. | + | 164937.i | 0.198738 | + | 0.198738i | 0.799459 | − | 0.600721i | \(-0.205120\pi\) |
−0.600721 | + | 0.799459i | \(0.705120\pi\) | |||||||
\(912\) | 73640.1 | + | 521345.i | 0.0885369 | + | 0.626809i | ||||
\(913\) | 13878.9 | + | 13878.9i | 0.0166500 | + | 0.0166500i | ||||
\(914\) | 1.33795e6 | + | 84529.3i | 1.60158 | + | 0.101185i | ||||
\(915\) | 138096. | − | 92273.1i | 0.164945 | − | 0.110213i | ||||
\(916\) | 9605.80 | + | 136686.i | 0.0114483 | + | 0.162905i | ||||
\(917\) | −33488.6 | − | 168359.i | −0.0398252 | − | 0.200215i | ||||
\(918\) | −702732. | − | 1.21057e6i | −0.833881 | − | 1.43650i | ||||
\(919\) | −1.46543e6 | − | 606999.i | −1.73513 | − | 0.718715i | −0.999129 | − | 0.0417384i | \(-0.986710\pi\) |
−0.736004 | − | 0.676977i | \(-0.763290\pi\) | |||||||
\(920\) | −996594. | + | 7042.75i | −1.17745 | + | 0.00832083i | ||||
\(921\) | 290012. | + | 700151.i | 0.341898 | + | 0.825415i | ||||
\(922\) | −339828. | + | 445039.i | −0.399758 | + | 0.523524i | ||||
\(923\) | 193620. | + | 129373.i | 0.227273 | + | 0.151859i | ||||
\(924\) | 10277.5 | − | 17996.3i | 0.0120376 | − | 0.0210785i | ||||
\(925\) | −353148. | − | 70245.4i | −0.412737 | − | 0.0820984i | ||||
\(926\) | −973142. | − | 477054.i | −1.13489 | − | 0.556347i | ||||
\(927\) | −796192. | −0.926527 | ||||||||
\(928\) | −110797. | + | 925711.i | −0.128657 | + | 1.07493i | ||||
\(929\) | − | 1.61567e6i | − | 1.87207i | −0.351912 | − | 0.936033i | \(-0.614469\pi\) | ||
0.351912 | − | 0.936033i | \(-0.385531\pi\) | |||||||
\(930\) | 807398. | + | 395803.i | 0.933515 | + | 0.457628i | ||||
\(931\) | −42926.6 | + | 215806.i | −0.0495253 | + | 0.248980i | ||||
\(932\) | 242887. | + | 889681.i | 0.279623 | + | 1.02424i | ||||
\(933\) | 265628. | − | 397541.i | 0.305149 | − | 0.456687i | ||||
\(934\) | −10382.2 | + | 13596.6i | −0.0119014 | + | 0.0155861i | ||||
\(935\) | 82691.4 | − | 34251.9i | 0.0945883 | − | 0.0391797i | ||||
\(936\) | −227737. | + | 560986.i | −0.259945 | + | 0.640325i | ||||
\(937\) | −91900.3 | + | 221867.i | −0.104674 | + | 0.252705i | −0.967535 | − | 0.252735i | \(-0.918670\pi\) |
0.862862 | + | 0.505440i | \(0.168670\pi\) | |||||||
\(938\) | −156103. | − | 268914.i | −0.177422 | − | 0.305638i | ||||
\(939\) | 375035. | − | 74599.0i | 0.425344 | − | 0.0846062i | ||||
\(940\) | −166906. | + | 192139.i | −0.188893 | + | 0.217450i | ||||
\(941\) | 394417. | + | 590286.i | 0.445426 | + | 0.666628i | 0.984450 | − | 0.175663i | \(-0.0562068\pi\) |
−0.539024 | + | 0.842290i | \(0.681207\pi\) | |||||||
\(942\) | 232413. | + | 14683.4i | 0.261914 | + | 0.0165472i | ||||
\(943\) | 591878. | − | 591878.i | 0.665593 | − | 0.665593i | ||||
\(944\) | −719389. | − | 804880.i | −0.807272 | − | 0.903206i | ||||
\(945\) | −631691. | + | 631691.i | −0.707361 | + | 0.707361i | ||||
\(946\) | −33664.4 | − | 38205.0i | −0.0376174 | − | 0.0426911i | ||||
\(947\) | −127794. | − | 191257.i | −0.142499 | − | 0.213264i | 0.753354 | − | 0.657615i | \(-0.228434\pi\) |
−0.895853 | + | 0.444351i | \(0.853434\pi\) | |||||||
\(948\) | −103250. | − | 34507.0i | −0.114888 | − | 0.0383964i | ||||
\(949\) | −956227. | + | 190205.i | −1.06177 | + | 0.211198i | ||||
\(950\) | 425204. | + | 112860.i | 0.471140 | + | 0.125053i | ||||
\(951\) | 113475. | − | 273952.i | 0.125470 | − | 0.302910i | ||||
\(952\) | 782792. | + | 1.15380e6i | 0.863719 | + | 1.27308i | ||||
\(953\) | 901076. | − | 373238.i | 0.992146 | − | 0.410960i | 0.173235 | − | 0.984881i | \(-0.444578\pi\) |
0.818911 | + | 0.573920i | \(0.194578\pi\) | |||||||
\(954\) | 188916. | − | 25324.1i | 0.207573 | − | 0.0278251i | ||||
\(955\) | 767021. | − | 1.14793e6i | 0.841009 | − | 1.25866i | ||||
\(956\) | 114065. | − | 899122.i | 0.124806 | − | 0.983791i | ||||
\(957\) | 5338.79 | − | 26839.9i | 0.00582934 | − | 0.0293061i | ||||
\(958\) | −1.11765e6 | + | 382330.i | −1.21780 | + | 0.416589i | ||||
\(959\) | − | 887340.i | − | 0.964835i | ||||||
\(960\) | −230494. | + | 579493.i | −0.250102 | + | 0.628790i | ||||
\(961\) | 1.25632e6 | 1.36036 | ||||||||
\(962\) | 294118. | + | 859783.i | 0.317812 | + | 0.929049i | ||||
\(963\) | 1.17955e6 | + | 234628.i | 1.27193 | + | 0.253003i | ||||
\(964\) | 86061.8 | − | 678386.i | 0.0926097 | − | 0.730000i | ||||
\(965\) | 1.37566e6 | + | 919190.i | 1.47726 | + | 0.987076i | ||||
\(966\) | 60544.5 | + | 451657.i | 0.0648814 | + | 0.484010i | ||||
\(967\) | 85599.8 | + | 206656.i | 0.0915419 | + | 0.221002i | 0.963018 | − | 0.269436i | \(-0.0868371\pi\) |
−0.871477 | + | 0.490437i | \(0.836837\pi\) | |||||||
\(968\) | −175884. | + | 918091.i | −0.187705 | + | 0.979795i | ||||
\(969\) | 960602. | + | 397894.i | 1.02305 | + | 0.423760i | ||||
\(970\) | 439449. | − | 1.65563e6i | 0.467051 | − | 1.75963i | ||||
\(971\) | 60079.0 | + | 302037.i | 0.0637212 | + | 0.320348i | 0.999478 | − | 0.0322971i | \(-0.0102823\pi\) |
−0.935757 | + | 0.352645i | \(0.885282\pi\) | |||||||
\(972\) | 923986. | + | 308804.i | 0.977986 | + | 0.326851i | ||||
\(973\) | 100278. | − | 67003.8i | 0.105921 | − | 0.0707741i | ||||
\(974\) | 706313. | − | 622369.i | 0.744525 | − | 0.656040i | ||||
\(975\) | −167649. | − | 167649.i | −0.176357 | − | 0.176357i | ||||
\(976\) | 251605. | + | 121144.i | 0.264132 | + | 0.127176i | ||||
\(977\) | 379259. | + | 379259.i | 0.397326 | + | 0.397326i | 0.877289 | − | 0.479963i | \(-0.159350\pi\) |
−0.479963 | + | 0.877289i | \(0.659350\pi\) | |||||||
\(978\) | 19938.7 | − | 315595.i | 0.0208458 | − | 0.329953i | ||||
\(979\) | −44132.0 | + | 29488.1i | −0.0460456 | + | 0.0307667i | ||||
\(980\) | −170917. | + | 196756.i | −0.177965 | + | 0.204869i | ||||
\(981\) | 151133. | + | 759798.i | 0.157044 | + | 0.789514i | ||||
\(982\) | −1.36588e6 | + | 792884.i | −1.41641 | + | 0.822218i | ||||
\(983\) | 866041. | + | 358726.i | 0.896255 | + | 0.371241i | 0.782779 | − | 0.622300i | \(-0.213801\pi\) |
0.113476 | + | 0.993541i | \(0.463801\pi\) | |||||||
\(984\) | −203861. | − | 482492.i | −0.210545 | − | 0.498311i | ||||
\(985\) | −8467.16 | − | 20441.5i | −0.00872700 | − | 0.0210688i | ||||
\(986\) | 1.46328e6 | + | 1.11735e6i | 1.50513 | + | 1.14930i | ||||
\(987\) | 96760.2 | + | 64653.1i | 0.0993259 | + | 0.0663675i | ||||
\(988\) | −292401. | − | 1.07105e6i | −0.299547 | − | 1.09722i | ||||
\(989\) | 1.09816e6 | + | 218437.i | 1.12272 | + | 0.223324i | ||||
\(990\) | −17192.4 | + | 35070.7i | −0.0175414 | + | 0.0357828i | ||||
\(991\) | 129464. | 0.131826 | 0.0659129 | − | 0.997825i | \(-0.479004\pi\) | ||||
0.0659129 | + | 0.997825i | \(0.479004\pi\) | |||||||
\(992\) | 116642. | + | 1.50736e6i | 0.118531 | + | 1.53177i | ||||
\(993\) | − | 367011.i | − | 0.372203i | ||||||
\(994\) | −103007. | + | 210124.i | −0.104254 | + | 0.212668i | ||||
\(995\) | −241115. | + | 1.21217e6i | −0.243544 | + | 1.22438i | ||||
\(996\) | −133933. | + | 234523.i | −0.135011 | + | 0.236411i | ||||
\(997\) | 154681. | − | 231496.i | 0.155613 | − | 0.232891i | −0.745469 | − | 0.666541i | \(-0.767774\pi\) |
0.901082 | + | 0.433649i | \(0.142774\pi\) | |||||||
\(998\) | −116632. | − | 89059.5i | −0.117100 | − | 0.0894168i | ||||
\(999\) | 846984. | − | 350832.i | 0.848680 | − | 0.351535i |
(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 | 64.5.j.a.3.3 | ✓ | 248 | |
64.43 | odd | 16 | inner | 64.5.j.a.43.3 | yes | 248 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
64.5.j.a.3.3 | ✓ | 248 | 1.1 | even | 1 | trivial | |
64.5.j.a.43.3 | yes | 248 | 64.43 | odd | 16 | inner |