Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,3,Mod(7,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.j (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.94278685509\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 31.11 | ||
Character | \(\chi\) | \(=\) | 108.31 |
Dual form | 108.3.j.a.7.11 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.08954 | − | 1.67717i | −0.544772 | − | 0.838584i | ||||
\(3\) | −2.24560 | + | 1.98929i | −0.748533 | + | 0.663097i | ||||
\(4\) | −1.62579 | + | 3.65470i | −0.406447 | + | 0.913674i | ||||
\(5\) | 0.641948 | − | 3.64067i | 0.128390 | − | 0.728133i | −0.850847 | − | 0.525413i | \(-0.823911\pi\) |
0.979237 | − | 0.202720i | \(-0.0649781\pi\) | |||||||
\(6\) | 5.78306 | + | 1.59883i | 0.963843 | + | 0.266471i | ||||
\(7\) | 2.33709 | + | 2.78523i | 0.333870 | + | 0.397891i | 0.906695 | − | 0.421787i | \(-0.138597\pi\) |
−0.572825 | + | 0.819678i | \(0.694153\pi\) | |||||||
\(8\) | 7.90091 | − | 1.25523i | 0.987614 | − | 0.156904i | ||||
\(9\) | 1.08543 | − | 8.93431i | 0.120604 | − | 0.992701i | ||||
\(10\) | −6.80544 | + | 2.89001i | −0.680544 | + | 0.289001i | ||||
\(11\) | 15.6847 | − | 2.76563i | 1.42588 | − | 0.251421i | 0.593147 | − | 0.805094i | \(-0.297885\pi\) |
0.832734 | + | 0.553673i | \(0.186774\pi\) | |||||||
\(12\) | −3.61939 | − | 11.4412i | −0.301616 | − | 0.953430i | ||||
\(13\) | 13.1438 | − | 4.78396i | 1.01106 | − | 0.367997i | 0.217222 | − | 0.976122i | \(-0.430301\pi\) |
0.793841 | + | 0.608126i | \(0.208078\pi\) | |||||||
\(14\) | 2.12495 | − | 6.95433i | 0.151782 | − | 0.496738i | ||||
\(15\) | 5.80079 | + | 9.45250i | 0.386719 | + | 0.630167i | ||||
\(16\) | −10.7136 | − | 11.8835i | −0.669601 | − | 0.742721i | ||||
\(17\) | 4.98573 | − | 8.63554i | 0.293278 | − | 0.507973i | −0.681305 | − | 0.732000i | \(-0.738587\pi\) |
0.974583 | + | 0.224027i | \(0.0719204\pi\) | |||||||
\(18\) | −16.1670 | + | 7.91386i | −0.898165 | + | 0.439659i | ||||
\(19\) | −14.6667 | + | 8.46782i | −0.771931 | + | 0.445675i | −0.833563 | − | 0.552424i | \(-0.813703\pi\) |
0.0616321 | + | 0.998099i | \(0.480369\pi\) | |||||||
\(20\) | 12.2619 | + | 8.26508i | 0.613093 | + | 0.413254i | ||||
\(21\) | −10.7888 | − | 1.60537i | −0.513753 | − | 0.0764460i | ||||
\(22\) | −21.7276 | − | 23.2926i | −0.987618 | − | 1.05875i | ||||
\(23\) | 0.374408 | − | 0.446202i | 0.0162786 | − | 0.0194001i | −0.757844 | − | 0.652436i | \(-0.773747\pi\) |
0.774122 | + | 0.633036i | \(0.218192\pi\) | |||||||
\(24\) | −15.2453 | + | 18.5360i | −0.635219 | + | 0.772332i | ||||
\(25\) | 10.6500 | + | 3.87627i | 0.425999 | + | 0.155051i | ||||
\(26\) | −22.3443 | − | 16.8321i | −0.859394 | − | 0.647387i | ||||
\(27\) | 15.3355 | + | 22.2221i | 0.567982 | + | 0.823041i | ||||
\(28\) | −13.9788 | + | 4.01315i | −0.499243 | + | 0.143327i | ||||
\(29\) | 16.6023 | + | 6.04274i | 0.572493 | + | 0.208370i | 0.612012 | − | 0.790848i | \(-0.290360\pi\) |
−0.0395190 | + | 0.999219i | \(0.512583\pi\) | |||||||
\(30\) | 9.53322 | − | 20.0278i | 0.317774 | − | 0.667594i | ||||
\(31\) | 18.3535 | − | 21.8729i | 0.592050 | − | 0.705578i | −0.383949 | − | 0.923354i | \(-0.625436\pi\) |
0.975999 | + | 0.217777i | \(0.0698805\pi\) | |||||||
\(32\) | −8.25774 | + | 30.9162i | −0.258054 | + | 0.966130i | ||||
\(33\) | −29.7199 | + | 37.4119i | −0.900602 | + | 1.13369i | ||||
\(34\) | −19.9154 | + | 1.04689i | −0.585748 | + | 0.0307907i | ||||
\(35\) | 11.6404 | − | 6.72059i | 0.332583 | − | 0.192017i | ||||
\(36\) | 30.8875 | + | 18.4922i | 0.857986 | + | 0.513673i | ||||
\(37\) | −31.7620 | + | 55.0133i | −0.858431 | + | 1.48685i | 0.0149934 | + | 0.999888i | \(0.495227\pi\) |
−0.873425 | + | 0.486959i | \(0.838106\pi\) | |||||||
\(38\) | 30.1820 | + | 15.3725i | 0.794262 | + | 0.404538i | ||||
\(39\) | −19.9990 | + | 36.8897i | −0.512796 | + | 0.945891i | ||||
\(40\) | 0.502105 | − | 29.5704i | 0.0125526 | − | 0.739259i | ||||
\(41\) | 59.2116 | − | 21.5512i | 1.44418 | − | 0.525640i | 0.503224 | − | 0.864156i | \(-0.332147\pi\) |
0.940961 | + | 0.338516i | \(0.109925\pi\) | |||||||
\(42\) | 9.06241 | + | 19.8438i | 0.215772 | + | 0.472471i | ||||
\(43\) | −1.70662 | + | 0.300923i | −0.0396888 | + | 0.00699821i | −0.193457 | − | 0.981109i | \(-0.561970\pi\) |
0.153769 | + | 0.988107i | \(0.450859\pi\) | |||||||
\(44\) | −15.3924 | + | 61.8191i | −0.349828 | + | 1.40498i | ||||
\(45\) | −31.8300 | − | 9.68705i | −0.707334 | − | 0.215268i | ||||
\(46\) | −1.15629 | − | 0.141789i | −0.0251367 | − | 0.00308236i | ||||
\(47\) | −51.7208 | − | 61.6385i | −1.10044 | − | 1.31146i | −0.946257 | − | 0.323415i | \(-0.895169\pi\) |
−0.154185 | − | 0.988042i | \(-0.549275\pi\) | |||||||
\(48\) | 47.6983 | + | 5.37314i | 0.993715 | + | 0.111940i | ||||
\(49\) | 6.21322 | − | 35.2369i | 0.126800 | − | 0.719120i | ||||
\(50\) | −5.10244 | − | 22.0851i | −0.102049 | − | 0.441703i | ||||
\(51\) | 5.98266 | + | 29.3100i | 0.117307 | + | 0.574707i | ||||
\(52\) | −3.88516 | + | 55.8143i | −0.0747147 | + | 1.07335i | ||||
\(53\) | −66.4040 | −1.25290 | −0.626452 | − | 0.779460i | \(-0.715494\pi\) | ||||
−0.626452 | + | 0.779460i | \(0.715494\pi\) | |||||||
\(54\) | 20.5615 | − | 49.9322i | 0.380769 | − | 0.924670i | ||||
\(55\) | − | 58.8781i | − | 1.07051i | ||||||
\(56\) | 21.9612 | + | 19.0723i | 0.392165 | + | 0.340577i | ||||
\(57\) | 16.0905 | − | 48.1917i | 0.282290 | − | 0.845468i | ||||
\(58\) | −7.95423 | − | 34.4287i | −0.137142 | − | 0.593598i | ||||
\(59\) | −65.4349 | − | 11.5379i | −1.10907 | − | 0.195558i | −0.411031 | − | 0.911622i | \(-0.634831\pi\) |
−0.698035 | + | 0.716063i | \(0.745942\pi\) | |||||||
\(60\) | −43.9769 | + | 5.83236i | −0.732948 | + | 0.0972060i | ||||
\(61\) | 5.43023 | − | 4.55650i | 0.0890201 | − | 0.0746967i | −0.597192 | − | 0.802099i | \(-0.703717\pi\) |
0.686212 | + | 0.727402i | \(0.259272\pi\) | |||||||
\(62\) | −56.6815 | − | 6.95051i | −0.914218 | − | 0.112105i | ||||
\(63\) | 27.4209 | − | 17.8571i | 0.435252 | − | 0.283446i | ||||
\(64\) | 60.8488 | − | 19.8349i | 0.950763 | − | 0.309920i | ||||
\(65\) | −8.97915 | − | 50.9233i | −0.138141 | − | 0.783435i | ||||
\(66\) | 95.1272 | + | 9.08330i | 1.44132 | + | 0.137626i | ||||
\(67\) | 12.7838 | + | 35.1231i | 0.190803 | + | 0.524226i | 0.997798 | − | 0.0663325i | \(-0.0211298\pi\) |
−0.806995 | + | 0.590558i | \(0.798908\pi\) | |||||||
\(68\) | 23.4545 | + | 32.2609i | 0.344920 | + | 0.474425i | ||||
\(69\) | 0.0468560 | + | 1.74680i | 0.000679073 | + | 0.0253159i | ||||
\(70\) | −23.9543 | − | 12.2005i | −0.342204 | − | 0.174293i | ||||
\(71\) | −12.7937 | − | 7.38644i | −0.180193 | − | 0.104034i | 0.407190 | − | 0.913343i | \(-0.366509\pi\) |
−0.587383 | + | 0.809309i | \(0.699842\pi\) | |||||||
\(72\) | −2.63869 | − | 71.9516i | −0.0366485 | − | 0.999328i | ||||
\(73\) | 66.1544 | + | 114.583i | 0.906224 | + | 1.56963i | 0.819265 | + | 0.573415i | \(0.194382\pi\) |
0.0869593 | + | 0.996212i | \(0.472285\pi\) | |||||||
\(74\) | 126.873 | − | 6.66926i | 1.71450 | − | 0.0901251i | ||||
\(75\) | −31.6266 | + | 12.4813i | −0.421688 | + | 0.166418i | ||||
\(76\) | −7.10235 | − | 67.3692i | −0.0934520 | − | 0.886437i | ||||
\(77\) | 44.3594 | + | 37.2220i | 0.576097 | + | 0.483403i | ||||
\(78\) | 83.6601 | − | 6.65120i | 1.07257 | − | 0.0852718i | ||||
\(79\) | 24.4484 | − | 67.1713i | 0.309473 | − | 0.850270i | −0.683287 | − | 0.730150i | \(-0.739450\pi\) |
0.992759 | − | 0.120119i | \(-0.0383277\pi\) | |||||||
\(80\) | −50.1416 | + | 31.3761i | −0.626770 | + | 0.392201i | ||||
\(81\) | −78.6437 | − | 19.3952i | −0.970910 | − | 0.239446i | ||||
\(82\) | −100.659 | − | 75.8267i | −1.22754 | − | 0.924716i | ||||
\(83\) | −8.25600 | + | 22.6832i | −0.0994699 | + | 0.273291i | −0.979439 | − | 0.201739i | \(-0.935341\pi\) |
0.879969 | + | 0.475030i | \(0.157563\pi\) | |||||||
\(84\) | 23.4075 | − | 36.8198i | 0.278660 | − | 0.438331i | ||||
\(85\) | −28.2385 | − | 23.6950i | −0.332218 | − | 0.278764i | ||||
\(86\) | 2.36413 | + | 2.53442i | 0.0274899 | + | 0.0294700i | ||||
\(87\) | −49.3029 | + | 19.4572i | −0.566700 | + | 0.223647i | ||||
\(88\) | 120.452 | − | 41.5389i | 1.36877 | − | 0.472033i | ||||
\(89\) | −29.6464 | − | 51.3491i | −0.333106 | − | 0.576957i | 0.650013 | − | 0.759923i | \(-0.274763\pi\) |
−0.983119 | + | 0.182966i | \(0.941430\pi\) | |||||||
\(90\) | 18.4334 | + | 63.9388i | 0.204815 | + | 0.710431i | ||||
\(91\) | 44.0427 | + | 25.4281i | 0.483986 | + | 0.279429i | ||||
\(92\) | 1.02202 | + | 2.09378i | 0.0111090 | + | 0.0227584i | ||||
\(93\) | 2.29689 | + | 85.6284i | 0.0246978 | + | 0.920735i | ||||
\(94\) | −47.0260 | + | 153.902i | −0.500277 | + | 1.63726i | ||||
\(95\) | 21.4132 | + | 58.8324i | 0.225403 | + | 0.619289i | ||||
\(96\) | −42.9577 | − | 85.8524i | −0.447476 | − | 0.894296i | ||||
\(97\) | 13.3273 | + | 75.5830i | 0.137395 | + | 0.779206i | 0.973162 | + | 0.230122i | \(0.0739124\pi\) |
−0.835767 | + | 0.549085i | \(0.814976\pi\) | |||||||
\(98\) | −65.8678 | + | 27.9715i | −0.672120 | + | 0.285424i | ||||
\(99\) | −7.68436 | − | 143.134i | −0.0776198 | − | 1.44580i | ||||
\(100\) | −31.4812 | + | 32.6204i | −0.314812 | + | 0.326204i | ||||
\(101\) | 64.1923 | − | 53.8638i | 0.635568 | − | 0.533305i | −0.267086 | − | 0.963673i | \(-0.586061\pi\) |
0.902653 | + | 0.430368i | \(0.141616\pi\) | |||||||
\(102\) | 42.6395 | − | 41.9685i | 0.418035 | − | 0.411456i | ||||
\(103\) | 165.931 | + | 29.2582i | 1.61098 | + | 0.284060i | 0.905398 | − | 0.424564i | \(-0.139573\pi\) |
0.705586 | + | 0.708624i | \(0.250684\pi\) | |||||||
\(104\) | 97.8431 | − | 54.2961i | 0.940799 | − | 0.522078i | ||||
\(105\) | −12.7705 | + | 38.2479i | −0.121623 | + | 0.364266i | ||||
\(106\) | 72.3500 | + | 111.371i | 0.682547 | + | 1.05067i | ||||
\(107\) | 19.6793i | 0.183919i | 0.995763 | + | 0.0919593i | \(0.0293130\pi\) | ||||
−0.995763 | + | 0.0919593i | \(0.970687\pi\) | |||||||
\(108\) | −106.147 | + | 19.9181i | −0.982846 | + | 0.184427i | ||||
\(109\) | −98.5660 | −0.904275 | −0.452137 | − | 0.891948i | \(-0.649338\pi\) | ||||
−0.452137 | + | 0.891948i | \(0.649338\pi\) | |||||||
\(110\) | −98.7485 | + | 64.1503i | −0.897714 | + | 0.583184i | ||||
\(111\) | −38.1130 | − | 186.722i | −0.343360 | − | 1.68218i | ||||
\(112\) | 8.05975 | − | 57.6128i | 0.0719621 | − | 0.514400i | ||||
\(113\) | −29.2796 | + | 166.053i | −0.259112 | + | 1.46950i | 0.526182 | + | 0.850372i | \(0.323623\pi\) |
−0.785294 | + | 0.619123i | \(0.787488\pi\) | |||||||
\(114\) | −98.3569 | + | 25.5204i | −0.862780 | + | 0.223863i | ||||
\(115\) | −1.38412 | − | 1.64953i | −0.0120358 | − | 0.0143437i | ||||
\(116\) | −49.0762 | + | 50.8521i | −0.423071 | + | 0.438381i | ||||
\(117\) | −28.4746 | − | 122.623i | −0.243373 | − | 1.04806i | ||||
\(118\) | 51.9431 | + | 122.316i | 0.440196 | + | 1.03658i | ||||
\(119\) | 35.7041 | − | 6.29560i | 0.300035 | − | 0.0529042i | ||||
\(120\) | 57.6966 | + | 67.4020i | 0.480805 | + | 0.561684i | ||||
\(121\) | 124.658 | − | 45.3718i | 1.03023 | − | 0.374973i | ||||
\(122\) | −13.5585 | − | 4.14290i | −0.111135 | − | 0.0339582i | ||||
\(123\) | −90.0937 | + | 166.185i | −0.732469 | + | 1.35109i | ||||
\(124\) | 50.0998 | + | 102.637i | 0.404031 | + | 0.827721i | ||||
\(125\) | 67.1593 | − | 116.323i | 0.537274 | − | 0.930586i | ||||
\(126\) | −59.8256 | − | 26.5334i | −0.474806 | − | 0.210582i | ||||
\(127\) | −174.605 | + | 100.808i | −1.37484 | + | 0.793765i | −0.991533 | − | 0.129856i | \(-0.958549\pi\) |
−0.383308 | + | 0.923621i | \(0.625215\pi\) | |||||||
\(128\) | −99.5639 | − | 80.4427i | −0.777843 | − | 0.628459i | ||||
\(129\) | 3.23376 | − | 4.07072i | 0.0250679 | − | 0.0315559i | ||||
\(130\) | −75.6237 | + | 70.5427i | −0.581721 | + | 0.542636i | ||||
\(131\) | −143.553 | + | 171.080i | −1.09582 | + | 1.30595i | −0.147355 | + | 0.989084i | \(0.547076\pi\) |
−0.948469 | + | 0.316869i | \(0.897369\pi\) | |||||||
\(132\) | −88.4110 | − | 169.441i | −0.669780 | − | 1.28364i | ||||
\(133\) | −57.8622 | − | 21.0601i | −0.435054 | − | 0.158347i | ||||
\(134\) | 44.9789 | − | 59.7087i | 0.335664 | − | 0.445587i | ||||
\(135\) | 90.7479 | − | 41.5660i | 0.672207 | − | 0.307896i | ||||
\(136\) | 28.5523 | − | 74.4869i | 0.209943 | − | 0.547698i | ||||
\(137\) | −186.707 | − | 67.9558i | −1.36282 | − | 0.496027i | −0.445898 | − | 0.895084i | \(-0.647116\pi\) |
−0.916926 | + | 0.399056i | \(0.869338\pi\) | |||||||
\(138\) | 2.87862 | − | 1.98180i | 0.0208596 | − | 0.0143608i | ||||
\(139\) | −89.3311 | + | 106.461i | −0.642670 | + | 0.765904i | −0.984789 | − | 0.173753i | \(-0.944411\pi\) |
0.342120 | + | 0.939656i | \(0.388855\pi\) | |||||||
\(140\) | 5.63687 | + | 53.4684i | 0.0402633 | + | 0.381917i | ||||
\(141\) | 238.761 | + | 35.5275i | 1.69334 | + | 0.251968i | ||||
\(142\) | 1.55098 | + | 29.5050i | 0.0109224 | + | 0.207782i | ||||
\(143\) | 192.926 | − | 111.386i | 1.34913 | − | 0.778922i | ||||
\(144\) | −117.800 | + | 82.8200i | −0.818056 | + | 0.575139i | ||||
\(145\) | 32.6574 | − | 56.5643i | 0.225224 | − | 0.390099i | ||||
\(146\) | 120.097 | − | 235.795i | 0.822579 | − | 1.61503i | ||||
\(147\) | 56.1441 | + | 91.4879i | 0.381933 | + | 0.622366i | ||||
\(148\) | −149.419 | − | 205.520i | −1.00959 | − | 1.38865i | ||||
\(149\) | 1.60561 | − | 0.584395i | 0.0107759 | − | 0.00392211i | −0.336627 | − | 0.941638i | \(-0.609286\pi\) |
0.347402 | + | 0.937716i | \(0.387064\pi\) | |||||||
\(150\) | 55.3919 | + | 39.4441i | 0.369279 | + | 0.262961i | ||||
\(151\) | 110.653 | − | 19.5112i | 0.732803 | − | 0.129213i | 0.205220 | − | 0.978716i | \(-0.434209\pi\) |
0.527584 | + | 0.849503i | \(0.323098\pi\) | |||||||
\(152\) | −105.251 | + | 85.3135i | −0.692442 | + | 0.561273i | ||||
\(153\) | −71.7409 | − | 53.9174i | −0.468895 | − | 0.352401i | ||||
\(154\) | 14.0960 | − | 114.953i | 0.0915326 | − | 0.746450i | ||||
\(155\) | −67.8499 | − | 80.8604i | −0.437741 | − | 0.521680i | ||||
\(156\) | −102.307 | − | 133.065i | −0.655811 | − | 0.852983i | ||||
\(157\) | 0.528130 | − | 2.99517i | 0.00336389 | − | 0.0190775i | −0.983080 | − | 0.183179i | \(-0.941361\pi\) |
0.986443 | + | 0.164101i | \(0.0524724\pi\) | |||||||
\(158\) | −139.295 | + | 32.1820i | −0.881615 | + | 0.203684i | ||||
\(159\) | 149.117 | − | 132.097i | 0.937841 | − | 0.830798i | ||||
\(160\) | 107.254 | + | 49.9102i | 0.670340 | + | 0.311939i | ||||
\(161\) | 2.11780 | 0.0131540 | ||||||||
\(162\) | 53.1568 | + | 153.031i | 0.328128 | + | 0.944633i | ||||
\(163\) | 39.7924i | 0.244125i | 0.992522 | + | 0.122063i | \(0.0389509\pi\) | ||||
−0.992522 | + | 0.122063i | \(0.961049\pi\) | |||||||
\(164\) | −17.5023 | + | 251.438i | −0.106721 | + | 1.53316i | ||||
\(165\) | 117.126 | + | 132.217i | 0.709853 | + | 0.801313i | ||||
\(166\) | 47.0388 | − | 10.8676i | 0.283366 | − | 0.0654675i | ||||
\(167\) | 19.4582 | + | 3.43101i | 0.116516 | + | 0.0205449i | 0.231602 | − | 0.972811i | \(-0.425603\pi\) |
−0.115086 | + | 0.993356i | \(0.536714\pi\) | |||||||
\(168\) | −87.2565 | + | 0.858560i | −0.519384 | + | 0.00511048i | ||||
\(169\) | 20.4120 | − | 17.1277i | 0.120781 | − | 0.101347i | ||||
\(170\) | −8.97331 | + | 73.1775i | −0.0527842 | + | 0.430456i | ||||
\(171\) | 59.7344 | + | 140.228i | 0.349324 | + | 0.820046i | ||||
\(172\) | 1.67482 | − | 6.72641i | 0.00973733 | − | 0.0391070i | ||||
\(173\) | 23.9690 | + | 135.935i | 0.138549 | + | 0.785752i | 0.972322 | + | 0.233645i | \(0.0750652\pi\) |
−0.833773 | + | 0.552108i | \(0.813824\pi\) | |||||||
\(174\) | 86.3507 | + | 61.4897i | 0.496269 | + | 0.353389i | ||||
\(175\) | 14.0936 | + | 38.7218i | 0.0805348 | + | 0.221268i | ||||
\(176\) | −200.905 | − | 156.760i | −1.14151 | − | 0.890680i | ||||
\(177\) | 169.893 | − | 104.260i | 0.959847 | − | 0.589037i | ||||
\(178\) | −53.8201 | + | 105.669i | −0.302360 | + | 0.593647i | ||||
\(179\) | 159.768 | + | 92.2423i | 0.892560 | + | 0.515320i | 0.874779 | − | 0.484522i | \(-0.161006\pi\) |
0.0177813 | + | 0.999842i | \(0.494340\pi\) | |||||||
\(180\) | 87.1522 | − | 100.580i | 0.484179 | − | 0.558778i | ||||
\(181\) | −46.0525 | − | 79.7652i | −0.254434 | − | 0.440692i | 0.710308 | − | 0.703891i | \(-0.248556\pi\) |
−0.964742 | + | 0.263199i | \(0.915222\pi\) | |||||||
\(182\) | −5.33929 | − | 101.572i | −0.0293367 | − | 0.558088i | ||||
\(183\) | −3.12990 | + | 21.0344i | −0.0171033 | + | 0.114942i | ||||
\(184\) | 2.39808 | − | 3.99537i | 0.0130330 | − | 0.0217139i | ||||
\(185\) | 179.896 | + | 150.950i | 0.972409 | + | 0.815948i | ||||
\(186\) | 141.111 | − | 97.1481i | 0.758659 | − | 0.522302i | ||||
\(187\) | 54.3169 | − | 149.235i | 0.290465 | − | 0.798046i | ||||
\(188\) | 309.357 | − | 88.8127i | 1.64552 | − | 0.472408i | ||||
\(189\) | −26.0534 | + | 94.6480i | −0.137848 | + | 0.500783i | ||||
\(190\) | 75.3412 | − | 100.014i | 0.396533 | − | 0.526390i | ||||
\(191\) | −20.4959 | + | 56.3120i | −0.107308 | + | 0.294827i | −0.981712 | − | 0.190372i | \(-0.939031\pi\) |
0.874404 | + | 0.485199i | \(0.161253\pi\) | |||||||
\(192\) | −97.1846 | + | 165.587i | −0.506170 | + | 0.862434i | ||||
\(193\) | −215.518 | − | 180.841i | −1.11667 | − | 0.937000i | −0.118241 | − | 0.992985i | \(-0.537726\pi\) |
−0.998432 | + | 0.0559849i | \(0.982170\pi\) | |||||||
\(194\) | 112.245 | − | 104.703i | 0.578581 | − | 0.539707i | ||||
\(195\) | 121.465 | + | 96.4911i | 0.622897 | + | 0.494826i | ||||
\(196\) | 118.679 | + | 79.9952i | 0.605504 | + | 0.408139i | ||||
\(197\) | 15.1511 | + | 26.2425i | 0.0769093 | + | 0.133211i | 0.901915 | − | 0.431914i | \(-0.142161\pi\) |
−0.825006 | + | 0.565124i | \(0.808828\pi\) | |||||||
\(198\) | −231.687 | + | 168.838i | −1.17014 | + | 0.852719i | ||||
\(199\) | −205.095 | − | 118.412i | −1.03063 | − | 0.595033i | −0.113463 | − | 0.993542i | \(-0.536194\pi\) |
−0.917164 | + | 0.398510i | \(0.869528\pi\) | |||||||
\(200\) | 89.0100 | + | 17.2579i | 0.445050 | + | 0.0862896i | ||||
\(201\) | −98.5774 | − | 53.4418i | −0.490435 | − | 0.265880i | ||||
\(202\) | −160.279 | − | 48.9745i | −0.793460 | − | 0.242448i | ||||
\(203\) | 21.9706 | + | 60.3637i | 0.108230 | + | 0.297358i | ||||
\(204\) | −116.846 | − | 25.7872i | −0.572774 | − | 0.126408i | ||||
\(205\) | −40.4502 | − | 229.404i | −0.197318 | − | 1.11905i | ||||
\(206\) | −131.719 | − | 310.173i | −0.639410 | − | 1.50569i | ||||
\(207\) | −3.58011 | − | 3.82939i | −0.0172952 | − | 0.0184995i | ||||
\(208\) | −197.668 | − | 104.941i | −0.950327 | − | 0.504526i | ||||
\(209\) | −206.624 | + | 173.378i | −0.988629 | + | 0.829559i | ||||
\(210\) | 78.0621 | − | 20.2545i | 0.371724 | − | 0.0964502i | ||||
\(211\) | 88.9172 | + | 15.6785i | 0.421408 | + | 0.0743057i | 0.380331 | − | 0.924850i | \(-0.375810\pi\) |
0.0410771 | + | 0.999156i | \(0.486921\pi\) | |||||||
\(212\) | 107.959 | − | 242.686i | 0.509240 | − | 1.14475i | ||||
\(213\) | 43.4233 | − | 8.86341i | 0.203865 | − | 0.0416122i | ||||
\(214\) | 33.0055 | − | 21.4415i | 0.154231 | − | 0.100194i | ||||
\(215\) | 6.40641i | 0.0297972i | ||||||||
\(216\) | 149.058 | + | 156.325i | 0.690085 | + | 0.723729i | ||||
\(217\) | 103.815 | 0.478410 | ||||||||
\(218\) | 107.392 | + | 165.312i | 0.492623 | + | 0.758311i | ||||
\(219\) | −376.495 | − | 125.707i | −1.71915 | − | 0.574002i | ||||
\(220\) | 215.182 | + | 95.7234i | 0.978098 | + | 0.435106i | ||||
\(221\) | 24.2195 | − | 137.355i | 0.109590 | − | 0.621518i | ||||
\(222\) | −271.638 | + | 267.363i | −1.22359 | + | 1.20434i | ||||
\(223\) | −217.859 | − | 259.634i | −0.976944 | − | 1.16428i | −0.986407 | − | 0.164322i | \(-0.947456\pi\) |
0.00946232 | − | 0.999955i | \(-0.496988\pi\) | |||||||
\(224\) | −105.408 | + | 49.2541i | −0.470571 | + | 0.219884i | ||||
\(225\) | 46.1916 | − | 90.9426i | 0.205296 | − | 0.404189i | ||||
\(226\) | 310.400 | − | 131.815i | 1.37345 | − | 0.583253i | ||||
\(227\) | 234.651 | − | 41.3753i | 1.03371 | − | 0.182270i | 0.369042 | − | 0.929413i | \(-0.379686\pi\) |
0.664664 | + | 0.747143i | \(0.268575\pi\) | |||||||
\(228\) | 149.966 | + | 137.156i | 0.657746 | + | 0.601559i | ||||
\(229\) | 153.568 | − | 55.8943i | 0.670604 | − | 0.244080i | 0.0157961 | − | 0.999875i | \(-0.494972\pi\) |
0.654808 | + | 0.755795i | \(0.272750\pi\) | |||||||
\(230\) | −1.25848 | + | 4.11864i | −0.00547166 | + | 0.0179071i | ||||
\(231\) | −173.659 | + | 4.65822i | −0.751770 | + | 0.0201655i | ||||
\(232\) | 138.758 | + | 26.9035i | 0.598096 | + | 0.115963i | ||||
\(233\) | −72.9459 | + | 126.346i | −0.313072 | + | 0.542257i | −0.979026 | − | 0.203736i | \(-0.934692\pi\) |
0.665953 | + | 0.745993i | \(0.268025\pi\) | |||||||
\(234\) | −174.636 | + | 181.360i | −0.746307 | + | 0.775044i | ||||
\(235\) | −257.607 | + | 148.730i | −1.09620 | + | 0.632892i | ||||
\(236\) | 148.551 | − | 220.386i | 0.629454 | − | 0.933841i | ||||
\(237\) | 78.7221 | + | 199.475i | 0.332161 | + | 0.841666i | ||||
\(238\) | −49.4600 | − | 53.0225i | −0.207815 | − | 0.222784i | ||||
\(239\) | 93.1529 | − | 111.015i | 0.389761 | − | 0.464499i | −0.535109 | − | 0.844783i | \(-0.679729\pi\) |
0.924870 | + | 0.380284i | \(0.124174\pi\) | |||||||
\(240\) | 50.1816 | − | 170.204i | 0.209090 | − | 0.709185i | ||||
\(241\) | −77.0503 | − | 28.0440i | −0.319711 | − | 0.116365i | 0.177180 | − | 0.984179i | \(-0.443303\pi\) |
−0.496890 | + | 0.867813i | \(0.665525\pi\) | |||||||
\(242\) | −211.916 | − | 159.638i | −0.875687 | − | 0.659660i | ||||
\(243\) | 215.185 | − | 112.892i | 0.885534 | − | 0.464574i | ||||
\(244\) | 7.82422 | + | 27.2537i | 0.0320665 | + | 0.111696i | ||||
\(245\) | −124.297 | − | 45.2405i | −0.507336 | − | 0.184655i | ||||
\(246\) | 376.881 | − | 29.9630i | 1.53203 | − | 0.121801i | ||||
\(247\) | −152.267 | + | 181.464i | −0.616464 | + | 0.734673i | ||||
\(248\) | 117.554 | − | 195.854i | 0.474009 | − | 0.789733i | ||||
\(249\) | −26.5838 | − | 67.3610i | −0.106762 | − | 0.270526i | ||||
\(250\) | −268.267 | + | 14.1019i | −1.07307 | + | 0.0564074i | ||||
\(251\) | −41.5537 | + | 23.9911i | −0.165553 | + | 0.0955819i | −0.580487 | − | 0.814269i | \(-0.697138\pi\) |
0.414934 | + | 0.909851i | \(0.363805\pi\) | |||||||
\(252\) | 20.6817 | + | 129.247i | 0.0820700 | + | 0.512884i | ||||
\(253\) | 4.63844 | − | 8.03401i | 0.0183337 | − | 0.0317550i | ||||
\(254\) | 359.312 | + | 183.007i | 1.41461 | + | 0.720499i | ||||
\(255\) | 110.549 | − | 2.96535i | 0.433524 | − | 0.0116288i | ||||
\(256\) | −26.4368 | + | 254.631i | −0.103269 | + | 0.994653i | ||||
\(257\) | −278.499 | + | 101.365i | −1.08365 | + | 0.394417i | −0.821266 | − | 0.570546i | \(-0.806732\pi\) |
−0.262387 | + | 0.964963i | \(0.584510\pi\) | |||||||
\(258\) | −10.3506 | − | 0.988335i | −0.0401186 | − | 0.00383076i | ||||
\(259\) | −227.456 | + | 40.1065i | −0.878207 | + | 0.154852i | ||||
\(260\) | 200.707 | + | 49.9745i | 0.771951 | + | 0.192209i | ||||
\(261\) | 72.0084 | − | 141.771i | 0.275894 | − | 0.543184i | ||||
\(262\) | 443.337 | + | 54.3637i | 1.69213 | + | 0.207495i | ||||
\(263\) | −332.363 | − | 396.095i | −1.26374 | − | 1.50606i | −0.772466 | − | 0.635056i | \(-0.780977\pi\) |
−0.491270 | − | 0.871007i | \(-0.663467\pi\) | |||||||
\(264\) | −187.854 | + | 332.894i | −0.711566 | + | 1.26096i | ||||
\(265\) | −42.6279 | + | 241.755i | −0.160860 | + | 0.912282i | ||||
\(266\) | 27.7220 | + | 119.991i | 0.104218 | + | 0.451092i | ||||
\(267\) | 168.722 | + | 56.3341i | 0.631919 | + | 0.210989i | ||||
\(268\) | −149.148 | − | 10.3820i | −0.556523 | − | 0.0387388i | ||||
\(269\) | 128.175 | 0.476485 | 0.238243 | − | 0.971206i | \(-0.423429\pi\) | ||||
0.238243 | + | 0.971206i | \(0.423429\pi\) | |||||||
\(270\) | −168.587 | − | 106.912i | −0.624396 | − | 0.395969i | ||||
\(271\) | − | 105.053i | − | 0.387649i | −0.981036 | − | 0.193824i | \(-0.937911\pi\) | ||
0.981036 | − | 0.193824i | \(-0.0620892\pi\) | |||||||
\(272\) | −156.036 | + | 33.2698i | −0.573662 | + | 0.122315i | ||||
\(273\) | −149.486 | + | 30.5126i | −0.547568 | + | 0.111768i | ||||
\(274\) | 89.4520 | + | 387.180i | 0.326467 | + | 1.41306i | ||||
\(275\) | 177.762 | + | 31.3442i | 0.646406 | + | 0.113979i | ||||
\(276\) | −6.46019 | − | 2.66868i | −0.0234065 | − | 0.00966912i | ||||
\(277\) | −317.904 | + | 266.753i | −1.14767 | + | 0.963007i | −0.999662 | − | 0.0259792i | \(-0.991730\pi\) |
−0.148005 | + | 0.988987i | \(0.547285\pi\) | |||||||
\(278\) | 275.883 | + | 33.8298i | 0.992383 | + | 0.121690i | ||||
\(279\) | −175.498 | − | 187.718i | −0.629024 | − | 0.672824i | ||||
\(280\) | 83.5339 | − | 67.7101i | 0.298335 | − | 0.241822i | ||||
\(281\) | 69.9019 | + | 396.433i | 0.248761 | + | 1.41079i | 0.811593 | + | 0.584223i | \(0.198601\pi\) |
−0.562832 | + | 0.826571i | \(0.690288\pi\) | |||||||
\(282\) | −200.555 | − | 439.151i | −0.711188 | − | 1.55727i | ||||
\(283\) | −88.9908 | − | 244.500i | −0.314455 | − | 0.863958i | −0.991743 | − | 0.128240i | \(-0.959067\pi\) |
0.677288 | − | 0.735718i | \(-0.263155\pi\) | |||||||
\(284\) | 47.7951 | − | 34.7483i | 0.168292 | − | 0.122353i | ||||
\(285\) | −165.120 | − | 89.5168i | −0.579370 | − | 0.314094i | ||||
\(286\) | −397.014 | − | 202.210i | −1.38816 | − | 0.707026i | ||||
\(287\) | 198.408 | + | 114.551i | 0.691317 | + | 0.399132i | ||||
\(288\) | 267.251 | + | 107.335i | 0.927956 | + | 0.372690i | ||||
\(289\) | 94.7849 | + | 164.172i | 0.327976 | + | 0.568070i | ||||
\(290\) | −130.450 | + | 6.85728i | −0.449826 | + | 0.0236458i | ||||
\(291\) | −180.285 | − | 143.217i | −0.619534 | − | 0.492155i | ||||
\(292\) | −526.318 | + | 55.4868i | −1.80246 | + | 0.190023i | ||||
\(293\) | −150.425 | − | 126.221i | −0.513394 | − | 0.430789i | 0.348927 | − | 0.937150i | \(-0.386546\pi\) |
−0.862322 | + | 0.506361i | \(0.830990\pi\) | |||||||
\(294\) | 92.2691 | − | 193.843i | 0.313841 | − | 0.659330i | ||||
\(295\) | −84.0116 | + | 230.820i | −0.284785 | + | 0.782440i | ||||
\(296\) | −181.894 | + | 474.524i | −0.614507 | + | 1.60312i | ||||
\(297\) | 301.991 | + | 306.135i | 1.01680 | + | 1.03076i | ||||
\(298\) | −2.72951 | − | 2.05616i | −0.00915943 | − | 0.00689986i | ||||
\(299\) | 2.78653 | − | 7.65594i | 0.00931951 | − | 0.0256051i | ||||
\(300\) | 5.80265 | − | 135.878i | 0.0193422 | − | 0.452925i | ||||
\(301\) | −4.82666 | − | 4.05005i | −0.0160354 | − | 0.0134553i | ||||
\(302\) | −153.285 | − | 164.326i | −0.507567 | − | 0.544126i | ||||
\(303\) | −36.9995 | + | 248.654i | −0.122110 | + | 0.820639i | ||||
\(304\) | 257.761 | + | 83.5712i | 0.847898 | + | 0.274905i | ||||
\(305\) | −13.1028 | − | 22.6947i | −0.0429599 | − | 0.0744088i | ||||
\(306\) | −12.2637 | + | 179.067i | −0.0400773 | + | 0.585186i | ||||
\(307\) | 170.588 | + | 98.4890i | 0.555661 | + | 0.320811i | 0.751402 | − | 0.659845i | \(-0.229378\pi\) |
−0.195741 | + | 0.980656i | \(0.562711\pi\) | |||||||
\(308\) | −208.154 | + | 101.605i | −0.675825 | + | 0.329887i | ||||
\(309\) | −430.818 | + | 264.384i | −1.39423 | + | 0.855611i | ||||
\(310\) | −61.6911 | + | 201.897i | −0.199003 | + | 0.651280i | ||||
\(311\) | 9.51663 | + | 26.1467i | 0.0306001 | + | 0.0840731i | 0.954052 | − | 0.299641i | \(-0.0968670\pi\) |
−0.923452 | + | 0.383714i | \(0.874645\pi\) | |||||||
\(312\) | −111.706 | + | 316.566i | −0.358031 | + | 1.01463i | ||||
\(313\) | −56.7402 | − | 321.790i | −0.181279 | − | 1.02808i | −0.930644 | − | 0.365926i | \(-0.880752\pi\) |
0.749365 | − | 0.662157i | \(-0.230359\pi\) | |||||||
\(314\) | −5.59883 | + | 2.37761i | −0.0178307 | + | 0.00757201i | ||||
\(315\) | −47.4089 | − | 111.294i | −0.150505 | − | 0.353313i | ||||
\(316\) | 205.743 | + | 198.558i | 0.651085 | + | 0.628347i | ||||
\(317\) | −75.2721 | + | 63.1608i | −0.237452 | + | 0.199245i | −0.753746 | − | 0.657165i | \(-0.771755\pi\) |
0.516295 | + | 0.856411i | \(0.327311\pi\) | |||||||
\(318\) | −384.018 | − | 106.168i | −1.20760 | − | 0.333863i | ||||
\(319\) | 277.114 | + | 48.8627i | 0.868696 | + | 0.153174i | ||||
\(320\) | −33.1505 | − | 234.263i | −0.103595 | − | 0.732072i | ||||
\(321\) | −39.1479 | − | 44.1918i | −0.121956 | − | 0.137669i | ||||
\(322\) | −2.30744 | − | 3.55191i | −0.00716595 | − | 0.0110308i | ||||
\(323\) | 168.873i | 0.522827i | ||||||||
\(324\) | 198.741 | − | 255.886i | 0.613400 | − | 0.789773i | ||||
\(325\) | 158.525 | 0.487769 | ||||||||
\(326\) | 66.7386 | − | 43.3556i | 0.204720 | − | 0.132993i | ||||
\(327\) | 221.340 | − | 196.077i | 0.676880 | − | 0.599622i | ||||
\(328\) | 440.774 | − | 244.598i | 1.34382 | − | 0.745727i | ||||
\(329\) | 50.8014 | − | 288.109i | 0.154412 | − | 0.875712i | ||||
\(330\) | 94.1360 | − | 340.495i | 0.285260 | − | 1.03180i | ||||
\(331\) | 227.814 | + | 271.498i | 0.688259 | + | 0.820235i | 0.991144 | − | 0.132792i | \(-0.0423941\pi\) |
−0.302885 | + | 0.953027i | \(0.597950\pi\) | |||||||
\(332\) | −69.4776 | − | 67.0513i | −0.209270 | − | 0.201962i | ||||
\(333\) | 457.031 | + | 343.484i | 1.37246 | + | 1.03148i | ||||
\(334\) | −15.4462 | − | 36.3729i | −0.0462461 | − | 0.108901i | ||||
\(335\) | 136.078 | − | 23.9942i | 0.406203 | − | 0.0716246i | ||||
\(336\) | 96.5097 | + | 145.408i | 0.287231 | + | 0.432763i | ||||
\(337\) | 554.135 | − | 201.688i | 1.64432 | − | 0.598482i | 0.656530 | − | 0.754300i | \(-0.272023\pi\) |
0.987786 | + | 0.155817i | \(0.0498012\pi\) | |||||||
\(338\) | −50.9659 | − | 15.5730i | −0.150787 | − | 0.0460740i | ||||
\(339\) | −264.578 | − | 431.134i | −0.780465 | − | 1.27178i | ||||
\(340\) | 132.508 | − | 64.6803i | 0.389729 | − | 0.190236i | ||||
\(341\) | 227.377 | − | 393.829i | 0.666795 | − | 1.15492i | ||||
\(342\) | 170.103 | − | 252.969i | 0.497376 | − | 0.739676i | ||||
\(343\) | 266.953 | − | 154.125i | 0.778288 | − | 0.449345i | ||||
\(344\) | −13.1061 | + | 4.51976i | −0.0380992 | + | 0.0131388i | ||||
\(345\) | 6.38958 | + | 0.950765i | 0.0185205 | + | 0.00275584i | ||||
\(346\) | 201.871 | − | 188.307i | 0.583442 | − | 0.544241i | ||||
\(347\) | −173.802 | + | 207.129i | −0.500871 | + | 0.596915i | −0.955947 | − | 0.293538i | \(-0.905167\pi\) |
0.455077 | + | 0.890452i | \(0.349612\pi\) | |||||||
\(348\) | 9.04578 | − | 211.821i | 0.0259936 | − | 0.608680i | ||||
\(349\) | −484.371 | − | 176.297i | −1.38788 | − | 0.505148i | −0.463324 | − | 0.886189i | \(-0.653343\pi\) |
−0.924558 | + | 0.381041i | \(0.875566\pi\) | |||||||
\(350\) | 49.5875 | − | 65.8265i | 0.141678 | − | 0.188076i | ||||
\(351\) | 307.877 | + | 218.719i | 0.877141 | + | 0.623131i | ||||
\(352\) | −44.0173 | + | 507.748i | −0.125049 | + | 1.44247i | ||||
\(353\) | 203.053 | + | 73.9054i | 0.575222 | + | 0.209364i | 0.613217 | − | 0.789914i | \(-0.289875\pi\) |
−0.0379952 | + | 0.999278i | \(0.512097\pi\) | |||||||
\(354\) | −359.967 | − | 171.344i | −1.01685 | − | 0.484022i | ||||
\(355\) | −35.1045 | + | 41.8359i | −0.0988858 | + | 0.117847i | ||||
\(356\) | 235.864 | − | 24.8658i | 0.662540 | − | 0.0698479i | ||||
\(357\) | −67.6533 | + | 85.1633i | −0.189505 | + | 0.238553i | ||||
\(358\) | −19.3687 | − | 368.460i | −0.0541025 | − | 1.02922i | ||||
\(359\) | −220.356 | + | 127.223i | −0.613806 | + | 0.354381i | −0.774453 | − | 0.632631i | \(-0.781975\pi\) |
0.160648 | + | 0.987012i | \(0.448642\pi\) | |||||||
\(360\) | −263.646 | − | 36.5826i | −0.732349 | − | 0.101618i | ||||
\(361\) | −37.0922 | + | 64.2455i | −0.102748 | + | 0.177965i | ||||
\(362\) | −83.6036 | + | 164.146i | −0.230949 | + | 0.453441i | ||||
\(363\) | −189.674 | + | 349.868i | −0.522518 | + | 0.963823i | ||||
\(364\) | −164.536 | + | 119.622i | −0.452022 | + | 0.328632i | ||||
\(365\) | 459.625 | − | 167.290i | 1.25925 | − | 0.458328i | ||||
\(366\) | 38.6884 | − | 17.6685i | 0.105706 | − | 0.0482746i | ||||
\(367\) | 558.823 | − | 98.5356i | 1.52268 | − | 0.268489i | 0.651194 | − | 0.758911i | \(-0.274268\pi\) |
0.871485 | + | 0.490422i | \(0.163157\pi\) | |||||||
\(368\) | −9.31371 | + | 0.331147i | −0.0253090 | + | 0.000899856i | ||||
\(369\) | −128.275 | − | 552.407i | −0.347630 | − | 1.49704i | ||||
\(370\) | 57.1651 | − | 466.182i | 0.154500 | − | 1.25995i | ||||
\(371\) | −155.192 | − | 184.951i | −0.418307 | − | 0.498519i | ||||
\(372\) | −316.680 | − | 130.819i | −0.851290 | − | 0.351665i | ||||
\(373\) | −63.4862 | + | 360.048i | −0.170204 | + | 0.965277i | 0.773330 | + | 0.634003i | \(0.218589\pi\) |
−0.943535 | + | 0.331274i | \(0.892522\pi\) | |||||||
\(374\) | −309.472 | + | 71.4989i | −0.827466 | + | 0.191173i | ||||
\(375\) | 80.5882 | + | 394.815i | 0.214902 | + | 1.05284i | ||||
\(376\) | −486.012 | − | 422.079i | −1.29258 | − | 1.12255i | ||||
\(377\) | 247.126 | 0.655506 | ||||||||
\(378\) | 187.127 | − | 59.4273i | 0.495045 | − | 0.157215i | ||||
\(379\) | 310.348i | 0.818860i | 0.912342 | + | 0.409430i | \(0.134272\pi\) | ||||
−0.912342 | + | 0.409430i | \(0.865728\pi\) | |||||||
\(380\) | −249.828 | − | 17.3902i | −0.657442 | − | 0.0457637i | ||||
\(381\) | 191.556 | − | 573.715i | 0.502770 | − | 1.50581i | ||||
\(382\) | 116.776 | − | 26.9793i | 0.305696 | − | 0.0706265i | ||||
\(383\) | −223.698 | − | 39.4441i | −0.584069 | − | 0.102987i | −0.126197 | − | 0.992005i | \(-0.540277\pi\) |
−0.457872 | + | 0.889018i | \(0.651388\pi\) | |||||||
\(384\) | 383.605 | − | 17.4195i | 0.998971 | − | 0.0453634i | ||||
\(385\) | 163.989 | − | 137.603i | 0.425946 | − | 0.357411i | ||||
\(386\) | −68.4847 | + | 558.494i | −0.177422 | + | 1.44688i | ||||
\(387\) | 0.836120 | + | 15.5741i | 0.00216052 | + | 0.0402431i | ||||
\(388\) | −297.900 | − | 74.1747i | −0.767784 | − | 0.191172i | ||||
\(389\) | −54.4461 | − | 308.779i | −0.139964 | − | 0.793778i | −0.971273 | − | 0.237967i | \(-0.923519\pi\) |
0.831309 | − | 0.555811i | \(-0.187592\pi\) | |||||||
\(390\) | 29.4906 | − | 308.848i | 0.0756170 | − | 0.791919i | ||||
\(391\) | −1.98650 | − | 5.45785i | −0.00508055 | − | 0.0139587i | ||||
\(392\) | 4.85972 | − | 286.203i | 0.0123973 | − | 0.730109i | ||||
\(393\) | −17.9652 | − | 669.745i | −0.0457131 | − | 1.70419i | ||||
\(394\) | 27.5053 | − | 54.0034i | 0.0698105 | − | 0.137064i | ||||
\(395\) | −228.854 | − | 132.129i | −0.579376 | − | 0.334503i | ||||
\(396\) | 535.603 | + | 204.621i | 1.35253 | + | 0.516720i | ||||
\(397\) | −70.7625 | − | 122.564i | −0.178243 | − | 0.308726i | 0.763036 | − | 0.646356i | \(-0.223708\pi\) |
−0.941279 | + | 0.337630i | \(0.890375\pi\) | |||||||
\(398\) | 24.8636 | + | 472.993i | 0.0624713 | + | 1.18842i | ||||
\(399\) | 171.830 | − | 67.8123i | 0.430652 | − | 0.169956i | ||||
\(400\) | −68.0358 | − | 168.088i | −0.170090 | − | 0.420220i | ||||
\(401\) | −289.868 | − | 243.229i | −0.722864 | − | 0.606555i | 0.205312 | − | 0.978697i | \(-0.434179\pi\) |
−0.928176 | + | 0.372142i | \(0.878624\pi\) | |||||||
\(402\) | 17.7735 | + | 223.558i | 0.0442126 | + | 0.556115i | ||||
\(403\) | 136.597 | − | 375.296i | 0.338949 | − | 0.931255i | ||||
\(404\) | 92.4925 | + | 322.175i | 0.228942 | + | 0.797462i | ||||
\(405\) | −121.096 | + | 273.865i | −0.299004 | + | 0.676209i | ||||
\(406\) | 77.3022 | − | 102.617i | 0.190400 | − | 0.252752i | ||||
\(407\) | −346.030 | + | 950.709i | −0.850196 | + | 2.33589i | ||||
\(408\) | 84.0593 | + | 224.067i | 0.206028 | + | 0.549183i | ||||
\(409\) | 250.395 | + | 210.106i | 0.612212 | + | 0.513707i | 0.895345 | − | 0.445374i | \(-0.146929\pi\) |
−0.283133 | + | 0.959081i | \(0.591374\pi\) | |||||||
\(410\) | −340.677 | + | 317.788i | −0.830921 | + | 0.775092i | ||||
\(411\) | 554.453 | − | 218.813i | 1.34903 | − | 0.532392i | ||||
\(412\) | −376.699 | + | 558.861i | −0.914318 | + | 1.35646i | ||||
\(413\) | −120.791 | − | 209.217i | −0.292473 | − | 0.506578i | ||||
\(414\) | −2.52186 | + | 10.1767i | −0.00609144 | + | 0.0245815i | ||||
\(415\) | 77.2820 | + | 44.6188i | 0.186222 | + | 0.107515i | ||||
\(416\) | 39.3634 | + | 445.861i | 0.0946236 | + | 1.07178i | ||||
\(417\) | −11.1795 | − | 416.774i | −0.0268094 | − | 0.999457i | ||||
\(418\) | 515.909 | + | 157.640i | 1.23423 | + | 0.377129i | ||||
\(419\) | −87.2276 | − | 239.656i | −0.208180 | − | 0.571971i | 0.791027 | − | 0.611782i | \(-0.209547\pi\) |
−0.999207 | + | 0.0398104i | \(0.987325\pi\) | |||||||
\(420\) | −119.022 | − | 108.855i | −0.283387 | − | 0.259179i | ||||
\(421\) | 106.511 | + | 604.054i | 0.252995 | + | 1.43481i | 0.801167 | + | 0.598441i | \(0.204213\pi\) |
−0.548172 | + | 0.836366i | \(0.684676\pi\) | |||||||
\(422\) | −70.5837 | − | 166.211i | −0.167260 | − | 0.393866i | ||||
\(423\) | −606.836 | + | 395.185i | −1.43460 | + | 0.934244i | ||||
\(424\) | −524.652 | + | 83.3521i | −1.23739 | + | 0.196585i | ||||
\(425\) | 86.5716 | − | 72.6422i | 0.203698 | − | 0.170923i | ||||
\(426\) | −62.1770 | − | 63.1711i | −0.145955 | − | 0.148289i | ||||
\(427\) | 25.3818 | + | 4.47550i | 0.0594422 | + | 0.0104813i | ||||
\(428\) | −71.9219 | − | 31.9944i | −0.168042 | − | 0.0747533i | ||||
\(429\) | −211.655 | + | 633.914i | −0.493369 | + | 1.47765i | ||||
\(430\) | 10.7446 | − | 6.98006i | 0.0249875 | − | 0.0162327i | ||||
\(431\) | − | 309.004i | − | 0.716947i | −0.933540 | − | 0.358473i | \(-0.883297\pi\) | ||
0.933540 | − | 0.358473i | \(-0.116703\pi\) | |||||||
\(432\) | 99.7786 | − | 420.319i | 0.230969 | − | 0.972961i | ||||
\(433\) | 271.919 | 0.627989 | 0.313994 | − | 0.949425i | \(-0.398333\pi\) | ||||
0.313994 | + | 0.949425i | \(0.398333\pi\) | |||||||
\(434\) | −113.111 | − | 174.115i | −0.260624 | − | 0.401187i | ||||
\(435\) | 39.1875 | + | 191.986i | 0.0900861 | + | 0.441347i | ||||
\(436\) | 160.248 | − | 360.229i | 0.367540 | − | 0.826213i | ||||
\(437\) | −1.71297 | + | 9.71471i | −0.00391983 | + | 0.0222305i | ||||
\(438\) | 199.376 | + | 768.408i | 0.455197 | + | 1.75436i | ||||
\(439\) | −100.848 | − | 120.186i | −0.229723 | − | 0.273773i | 0.638853 | − | 0.769328i | \(-0.279409\pi\) |
−0.868576 | + | 0.495555i | \(0.834965\pi\) | |||||||
\(440\) | −73.9055 | − | 465.191i | −0.167967 | − | 1.05725i | ||||
\(441\) | −308.073 | − | 93.7580i | −0.698579 | − | 0.212603i | ||||
\(442\) | −256.756 | + | 109.035i | −0.580897 | + | 0.246685i | ||||
\(443\) | 254.933 | − | 44.9516i | 0.575470 | − | 0.101471i | 0.121664 | − | 0.992571i | \(-0.461177\pi\) |
0.453806 | + | 0.891100i | \(0.350066\pi\) | |||||||
\(444\) | 744.375 | + | 164.279i | 1.67652 | + | 0.369998i | ||||
\(445\) | −205.976 | + | 74.9693i | −0.462869 | + | 0.168470i | ||||
\(446\) | −198.083 | + | 648.268i | −0.444133 | + | 1.45352i | ||||
\(447\) | −2.44303 | + | 4.50635i | −0.00546538 | + | 0.0100813i | ||||
\(448\) | 197.454 | + | 123.122i | 0.440745 | + | 0.274826i | ||||
\(449\) | −403.822 | + | 699.440i | −0.899381 | + | 1.55777i | −0.0710933 | + | 0.997470i | \(0.522649\pi\) |
−0.828287 | + | 0.560303i | \(0.810685\pi\) | |||||||
\(450\) | −202.854 | + | 21.6149i | −0.450786 | + | 0.0480330i | ||||
\(451\) | 869.112 | − | 501.782i | 1.92708 | − | 1.11260i | ||||
\(452\) | −559.271 | − | 376.975i | −1.23732 | − | 0.834016i | ||||
\(453\) | −209.670 | + | 263.936i | −0.462847 | + | 0.582640i | ||||
\(454\) | −325.056 | − | 348.469i | −0.715983 | − | 0.767554i | ||||
\(455\) | 120.848 | − | 144.021i | 0.265600 | − | 0.316530i | ||||
\(456\) | 66.6384 | − | 400.955i | 0.146137 | − | 0.879288i | ||||
\(457\) | 514.385 | + | 187.221i | 1.12557 | + | 0.409673i | 0.836681 | − | 0.547690i | \(-0.184493\pi\) |
0.288887 | + | 0.957363i | \(0.406715\pi\) | |||||||
\(458\) | −261.064 | − | 196.661i | −0.570008 | − | 0.429390i | ||||
\(459\) | 268.359 | − | 21.6369i | 0.584660 | − | 0.0471392i | ||||
\(460\) | 8.27882 | − | 2.37675i | 0.0179974 | − | 0.00516685i | ||||
\(461\) | 144.983 | + | 52.7695i | 0.314497 | + | 0.114468i | 0.494446 | − | 0.869208i | \(-0.335371\pi\) |
−0.179949 | + | 0.983676i | \(0.557593\pi\) | |||||||
\(462\) | 197.022 | + | 286.180i | 0.426454 | + | 0.619437i | ||||
\(463\) | −40.7312 | + | 48.5415i | −0.0879723 | + | 0.104841i | −0.808235 | − | 0.588860i | \(-0.799577\pi\) |
0.720263 | + | 0.693702i | \(0.244021\pi\) | |||||||
\(464\) | −106.062 | − | 262.034i | −0.228581 | − | 0.564728i | ||||
\(465\) | 313.219 | + | 46.6067i | 0.673589 | + | 0.100229i | ||||
\(466\) | 291.381 | − | 15.3169i | 0.625282 | − | 0.0328689i | ||||
\(467\) | −162.795 | + | 93.9898i | −0.348598 | + | 0.201263i | −0.664067 | − | 0.747673i | \(-0.731171\pi\) |
0.315470 | + | 0.948936i | \(0.397838\pi\) | |||||||
\(468\) | 494.445 | + | 95.2939i | 1.05651 | + | 0.203619i | ||||
\(469\) | −67.9493 | + | 117.692i | −0.144881 | + | 0.250942i | ||||
\(470\) | 530.119 | + | 270.003i | 1.12791 | + | 0.574475i | ||||
\(471\) | 4.77231 | + | 7.77657i | 0.0101323 | + | 0.0165108i | ||||
\(472\) | −531.478 | − | 9.02450i | −1.12601 | − | 0.0191197i | ||||
\(473\) | −25.9355 | + | 9.43977i | −0.0548320 | + | 0.0199572i | ||||
\(474\) | 248.782 | − | 349.367i | 0.524856 | − | 0.737061i | ||||
\(475\) | −189.023 | + | 33.3299i | −0.397944 | + | 0.0701682i | ||||
\(476\) | −35.0389 | + | 140.723i | −0.0736111 | + | 0.295637i | ||||
\(477\) | −72.0770 | + | 593.273i | −0.151105 | + | 1.24376i | ||||
\(478\) | −287.685 | − | 35.2771i | −0.601852 | − | 0.0738015i | ||||
\(479\) | 198.830 | + | 236.957i | 0.415094 | + | 0.494690i | 0.932561 | − | 0.361013i | \(-0.117569\pi\) |
−0.517466 | + | 0.855704i | \(0.673125\pi\) | |||||||
\(480\) | −340.137 | + | 101.282i | −0.708618 | + | 0.211004i | ||||
\(481\) | −154.292 | + | 875.033i | −0.320773 | + | 1.81919i | ||||
\(482\) | 36.9151 | + | 159.781i | 0.0765873 | + | 0.331497i | ||||
\(483\) | −4.75573 | + | 4.21292i | −0.00984623 | + | 0.00872241i | ||||
\(484\) | −36.8475 | + | 529.352i | −0.0761311 | + | 1.09370i | ||||
\(485\) | 283.728 | 0.585006 | ||||||||
\(486\) | −423.791 | − | 237.901i | −0.871999 | − | 0.489508i | ||||
\(487\) | 396.572i | 0.814316i | 0.913358 | + | 0.407158i | \(0.133480\pi\) | ||||
−0.913358 | + | 0.407158i | \(0.866520\pi\) | |||||||
\(488\) | 37.1843 | − | 42.8167i | 0.0761973 | − | 0.0877391i | ||||
\(489\) | −79.1588 | − | 89.3579i | −0.161879 | − | 0.182736i | ||||
\(490\) | 59.5513 | + | 257.759i | 0.121533 | + | 0.526039i | ||||
\(491\) | −391.258 | − | 68.9894i | −0.796860 | − | 0.140508i | −0.239628 | − | 0.970865i | \(-0.577025\pi\) |
−0.557232 | + | 0.830357i | \(0.688137\pi\) | |||||||
\(492\) | −460.881 | − | 599.446i | −0.936749 | − | 1.21839i | ||||
\(493\) | 134.957 | − | 113.242i | 0.273746 | − | 0.229701i | ||||
\(494\) | 470.247 | + | 57.6635i | 0.951917 | + | 0.116728i | ||||
\(495\) | −526.035 | − | 63.9082i | −1.06270 | − | 0.129107i | ||||
\(496\) | −456.560 | + | 16.2329i | −0.920485 | + | 0.0327276i | ||||
\(497\) | −9.32703 | − | 52.8962i | −0.0187667 | − | 0.106431i | ||||
\(498\) | −84.0115 | + | 117.978i | −0.168698 | + | 0.236904i | ||||
\(499\) | −254.967 | − | 700.517i | −0.510956 | − | 1.40384i | −0.880242 | − | 0.474525i | \(-0.842620\pi\) |
0.369285 | − | 0.929316i | \(-0.379603\pi\) | |||||||
\(500\) | 315.940 | + | 434.564i | 0.631879 | + | 0.869128i | ||||
\(501\) | −50.5206 | + | 31.0034i | −0.100840 | + | 0.0618830i | ||||
\(502\) | 85.5117 | + | 43.5533i | 0.170342 | + | 0.0867596i | ||||
\(503\) | −36.9239 | − | 21.3180i | −0.0734073 | − | 0.0423817i | 0.462847 | − | 0.886438i | \(-0.346828\pi\) |
−0.536254 | + | 0.844056i | \(0.680161\pi\) | |||||||
\(504\) | 194.235 | − | 175.507i | 0.385387 | − | 0.348228i | ||||
\(505\) | −154.892 | − | 268.281i | −0.306717 | − | 0.531249i | ||||
\(506\) | −18.5282 | + | 0.973961i | −0.0366169 | + | 0.00192482i | ||||
\(507\) | −11.7652 | + | 79.0675i | −0.0232055 | + | 0.155952i | ||||
\(508\) | −84.5525 | − | 802.020i | −0.166442 | − | 1.57878i | ||||
\(509\) | −149.916 | − | 125.794i | −0.294530 | − | 0.247140i | 0.483533 | − | 0.875326i | \(-0.339353\pi\) |
−0.778063 | + | 0.628186i | \(0.783798\pi\) | |||||||
\(510\) | −125.421 | − | 182.178i | −0.245923 | − | 0.357211i | ||||
\(511\) | −164.531 | + | 452.046i | −0.321979 | + | 0.884629i | ||||
\(512\) | 455.864 | − | 233.093i | 0.890359 | − | 0.455260i | ||||
\(513\) | −413.094 | − | 196.067i | −0.805251 | − | 0.382196i | ||||
\(514\) | 473.443 | + | 356.647i | 0.921095 | + | 0.693867i | ||||
\(515\) | 213.038 | − | 585.318i | 0.413667 | − | 1.13654i | ||||
\(516\) | 9.61982 | + | 18.4365i | 0.0186431 | + | 0.0357297i | ||||
\(517\) | −981.694 | − | 823.739i | −1.89883 | − | 1.59331i | ||||
\(518\) | 315.088 | + | 337.783i | 0.608278 | + | 0.652092i | ||||
\(519\) | −324.240 | − | 257.574i | −0.624739 | − | 0.496290i | ||||
\(520\) | −134.864 | − | 391.069i | −0.259353 | − | 0.752057i | ||||
\(521\) | 1.15666 | + | 2.00340i | 0.00222008 | + | 0.00384530i | 0.867133 | − | 0.498076i | \(-0.165960\pi\) |
−0.864913 | + | 0.501921i | \(0.832627\pi\) | |||||||
\(522\) | −316.230 | + | 33.6955i | −0.605805 | + | 0.0645508i | ||||
\(523\) | −358.549 | − | 207.008i | −0.685562 | − | 0.395810i | 0.116385 | − | 0.993204i | \(-0.462869\pi\) |
−0.801947 | + | 0.597395i | \(0.796203\pi\) | |||||||
\(524\) | −391.858 | − | 802.782i | −0.747820 | − | 1.53203i | ||||
\(525\) | −108.678 | − | 58.9174i | −0.207005 | − | 0.112224i | ||||
\(526\) | −302.194 | + | 988.991i | −0.574513 | + | 1.88021i | ||||
\(527\) | −97.3785 | − | 267.545i | −0.184779 | − | 0.507676i | ||||
\(528\) | 762.993 | − | 47.6400i | 1.44506 | − | 0.0902273i | ||||
\(529\) | 91.8010 | + | 520.629i | 0.173537 | + | 0.984176i | ||||
\(530\) | 451.908 | − | 191.908i | 0.852657 | − | 0.362091i | ||||
\(531\) | −174.109 | + | 572.092i | −0.327888 | + | 1.07739i | ||||
\(532\) | 171.040 | − | 177.229i | 0.321504 | − | 0.333138i | ||||
\(533\) | 675.165 | − | 566.531i | 1.26673 | − | 1.06291i | ||||
\(534\) | −89.3486 | − | 344.355i | −0.167319 | − | 0.644859i | ||||
\(535\) | 71.6457 | + | 12.6331i | 0.133917 | + | 0.0236132i | ||||
\(536\) | 145.091 | + | 261.458i | 0.270692 | + | 0.487795i | ||||
\(537\) | −542.273 | + | 110.687i | −1.00982 | + | 0.206120i | ||||
\(538\) | −139.652 | − | 214.970i | −0.259576 | − | 0.399573i | ||||
\(539\) | − | 569.863i | − | 1.05726i | ||||||
\(540\) | 4.37421 | + | 399.234i | 0.00810040 | + | 0.739321i | ||||
\(541\) | −148.013 | −0.273591 | −0.136796 | − | 0.990599i | \(-0.543680\pi\) | ||||
−0.136796 | + | 0.990599i | \(0.543680\pi\) | |||||||
\(542\) | −176.191 | + | 114.460i | −0.325076 | + | 0.211180i | ||||
\(543\) | 262.092 | + | 87.5089i | 0.482674 | + | 0.161158i | ||||
\(544\) | 225.807 | + | 225.450i | 0.415086 | + | 0.414430i | ||||
\(545\) | −63.2742 | + | 358.846i | −0.116099 | + | 0.658433i | ||||
\(546\) | 214.046 | + | 217.469i | 0.392026 | + | 0.398294i | ||||
\(547\) | 110.386 | + | 131.554i | 0.201803 | + | 0.240500i | 0.857449 | − | 0.514569i | \(-0.172048\pi\) |
−0.655646 | + | 0.755069i | \(0.727603\pi\) | |||||||
\(548\) | 551.904 | − | 571.875i | 1.00712 | − | 1.04357i | ||||
\(549\) | −34.8150 | − | 53.4611i | −0.0634154 | − | 0.0973790i | ||||
\(550\) | −141.110 | − | 332.287i | −0.256563 | − | 0.604159i | ||||
\(551\) | −294.670 | + | 51.9582i | −0.534791 | + | 0.0942980i | ||||
\(552\) | 2.56283 | + | 13.7425i | 0.00464281 | + | 0.0248958i | ||||
\(553\) | 244.226 | − | 88.8909i | 0.441638 | − | 0.160743i | ||||
\(554\) | 793.760 | + | 242.539i | 1.43278 | + | 0.437797i | ||||
\(555\) | −704.258 | + | 18.8910i | −1.26893 | + | 0.0340378i | ||||
\(556\) | −243.848 | − | 499.561i | −0.438575 | − | 0.898490i | ||||
\(557\) | 157.849 | − | 273.403i | 0.283392 | − | 0.490849i | −0.688826 | − | 0.724926i | \(-0.741874\pi\) |
0.972218 | + | 0.234078i | \(0.0752071\pi\) | |||||||
\(558\) | −123.622 | + | 498.866i | −0.221545 | + | 0.894025i | ||||
\(559\) | −20.9919 | + | 12.1197i | −0.0375525 | + | 0.0216810i | ||||
\(560\) | −204.575 | − | 66.3273i | −0.365313 | − | 0.118442i | ||||
\(561\) | 174.897 | + | 443.173i | 0.311759 | + | 0.789970i | ||||
\(562\) | 588.724 | − | 549.169i | 1.04755 | − | 0.977168i | ||||
\(563\) | 699.739 | − | 833.916i | 1.24288 | − | 1.48120i | 0.425645 | − | 0.904890i | \(-0.360047\pi\) |
0.817231 | − | 0.576311i | \(-0.195508\pi\) | |||||||
\(564\) | −518.017 | + | 814.839i | −0.918471 | + | 1.44475i | ||||
\(565\) | 585.747 | + | 213.195i | 1.03672 | + | 0.377336i | ||||
\(566\) | −313.109 | + | 415.646i | −0.553195 | + | 0.734357i | ||||
\(567\) | −129.777 | − | 264.369i | −0.228884 | − | 0.466260i | ||||
\(568\) | −110.354 | − | 42.3006i | −0.194284 | − | 0.0744729i | ||||
\(569\) | −70.1886 | − | 25.5466i | −0.123354 | − | 0.0448973i | 0.279605 | − | 0.960115i | \(-0.409796\pi\) |
−0.402960 | + | 0.915218i | \(0.632019\pi\) | |||||||
\(570\) | 29.7711 | + | 374.467i | 0.0522300 | + | 0.656960i | ||||
\(571\) | −270.128 | + | 321.926i | −0.473078 | + | 0.563793i | −0.948830 | − | 0.315787i | \(-0.897732\pi\) |
0.475752 | + | 0.879579i | \(0.342176\pi\) | |||||||
\(572\) | 93.4245 | + | 886.176i | 0.163330 | + | 1.54926i | ||||
\(573\) | −65.9955 | − | 167.227i | −0.115175 | − | 0.291844i | ||||
\(574\) | −24.0530 | − | 457.572i | −0.0419041 | − | 0.797163i | ||||
\(575\) | 5.71702 | − | 3.30073i | 0.00994265 | − | 0.00574039i | ||||
\(576\) | −111.164 | − | 565.171i | −0.192993 | − | 0.981200i | ||||
\(577\) | 369.741 | − | 640.409i | 0.640798 | − | 1.10990i | −0.344457 | − | 0.938802i | \(-0.611937\pi\) |
0.985255 | − | 0.171093i | \(-0.0547298\pi\) | |||||||
\(578\) | 172.072 | − | 337.843i | 0.297703 | − | 0.584504i | ||||
\(579\) | 843.712 | − | 22.6317i | 1.45719 | − | 0.0390876i | ||||
\(580\) | 153.631 | + | 211.315i | 0.264882 | + | 0.364336i | ||||
\(581\) | −82.4730 | + | 30.0177i | −0.141950 | + | 0.0516656i | ||||
\(582\) | −43.7715 | + | 458.409i | −0.0752088 | + | 0.787644i | ||||
\(583\) | −1041.53 | + | 183.649i | −1.78649 | + | 0.315007i | ||||
\(584\) | 666.507 | + | 822.269i | 1.14128 | + | 1.40800i | ||||
\(585\) | −464.710 | + | 24.9487i | −0.794377 | + | 0.0426474i | ||||
\(586\) | −47.8001 | + | 389.811i | −0.0815702 | + | 0.665206i | ||||
\(587\) | 480.055 | + | 572.107i | 0.817810 | + | 0.974628i | 0.999963 | − | 0.00864185i | \(-0.00275082\pi\) |
−0.182152 | + | 0.983270i | \(0.558306\pi\) | |||||||
\(588\) | −425.639 | + | 56.4497i | −0.723876 | + | 0.0960028i | ||||
\(589\) | −83.9700 | + | 476.218i | −0.142564 | + | 0.808519i | ||||
\(590\) | 478.658 | − | 110.587i | 0.811285 | − | 0.187435i | ||||
\(591\) | −86.2274 | − | 28.7902i | −0.145901 | − | 0.0487143i | ||||
\(592\) | 994.038 | − | 211.947i | 1.67912 | − | 0.358019i | ||||
\(593\) | −534.250 | −0.900927 | −0.450463 | − | 0.892795i | \(-0.648741\pi\) | ||||
−0.450463 | + | 0.892795i | \(0.648741\pi\) | |||||||
\(594\) | 184.407 | − | 840.036i | 0.310450 | − | 1.41420i | ||||
\(595\) | − | 134.028i | − | 0.225257i | ||||||
\(596\) | −0.474600 | + | 6.81812i | −0.000796310 | + | 0.0114398i | ||||
\(597\) | 696.116 | − | 142.089i | 1.16602 | − | 0.238004i | ||||
\(598\) | −15.8764 | + | 3.66799i | −0.0265491 | + | 0.00613377i | ||||
\(599\) | 709.697 | + | 125.139i | 1.18480 | + | 0.208913i | 0.731119 | − | 0.682250i | \(-0.238999\pi\) |
0.453684 | + | 0.891163i | \(0.350110\pi\) | |||||||
\(600\) | −234.212 | + | 138.313i | −0.390353 | + | 0.230521i | ||||
\(601\) | 191.524 | − | 160.708i | 0.318676 | − | 0.267401i | −0.469391 | − | 0.882990i | \(-0.655527\pi\) |
0.788067 | + | 0.615590i | \(0.211082\pi\) | |||||||
\(602\) | −1.53376 | + | 12.5078i | −0.00254777 | + | 0.0207771i | ||||
\(603\) | 327.677 | − | 76.0904i | 0.543411 | − | 0.126186i | ||||
\(604\) | −108.592 | + | 436.125i | −0.179787 | + | 0.722062i | ||||
\(605\) | −85.1596 | − | 482.964i | −0.140760 | − | 0.798288i | ||||
\(606\) | 457.347 | − | 208.865i | 0.754698 | − | 0.344661i | ||||
\(607\) | −131.884 | − | 362.349i | −0.217272 | − | 0.596951i | 0.782394 | − | 0.622784i | \(-0.213998\pi\) |
−0.999666 | + | 0.0258331i | \(0.991776\pi\) | |||||||
\(608\) | −140.679 | − | 523.363i | −0.231380 | − | 0.860794i | ||||
\(609\) | −169.418 | − | 91.8468i | −0.278191 | − | 0.150816i | ||||
\(610\) | −23.7867 | + | 46.7024i | −0.0389947 | + | 0.0765613i | ||||
\(611\) | −974.684 | − | 562.734i | −1.59523 | − | 0.921005i | ||||
\(612\) | 313.687 | − | 174.533i | 0.512561 | − | 0.285185i | ||||
\(613\) | −214.313 | − | 371.200i | −0.349613 | − | 0.605547i | 0.636568 | − | 0.771221i | \(-0.280354\pi\) |
−0.986181 | + | 0.165674i | \(0.947020\pi\) | |||||||
\(614\) | −20.6803 | − | 393.413i | −0.0336813 | − | 0.640738i | ||||
\(615\) | 547.187 | + | 434.683i | 0.889735 | + | 0.706801i | ||||
\(616\) | 397.202 | + | 238.406i | 0.644809 | + | 0.387023i | ||||
\(617\) | 300.247 | + | 251.937i | 0.486624 | + | 0.408326i | 0.852815 | − | 0.522214i | \(-0.174894\pi\) |
−0.366191 | + | 0.930540i | \(0.619338\pi\) | |||||||
\(618\) | 912.812 | + | 434.497i | 1.47704 | + | 0.703070i | ||||
\(619\) | 36.0407 | − | 99.0211i | 0.0582241 | − | 0.159969i | −0.907170 | − | 0.420764i | \(-0.861762\pi\) |
0.965394 | + | 0.260794i | \(0.0839844\pi\) | |||||||
\(620\) | 405.830 | − | 116.509i | 0.654564 | − | 0.187918i | ||||
\(621\) | 15.6573 | + | 1.47740i | 0.0252130 | + | 0.00237907i | ||||
\(622\) | 33.4837 | − | 44.4490i | 0.0538323 | − | 0.0714614i | ||||
\(623\) | 73.7330 | − | 202.580i | 0.118352 | − | 0.325168i | ||||
\(624\) | 652.643 | − | 157.563i | 1.04590 | − | 0.252505i | ||||
\(625\) | −163.333 | − | 137.053i | −0.261333 | − | 0.219285i | ||||
\(626\) | −477.875 | + | 445.767i | −0.763378 | + | 0.712088i | ||||
\(627\) | 119.095 | − | 800.372i | 0.189944 | − | 1.27651i | ||||
\(628\) | 10.0878 | + | 6.79968i | 0.0160634 | + | 0.0108275i | ||||
\(629\) | 316.713 | + | 548.564i | 0.503519 | + | 0.872120i | ||||
\(630\) | −135.004 | + | 200.772i | −0.214292 | + | 0.318686i | ||||
\(631\) | −528.383 | − | 305.062i | −0.837374 | − | 0.483458i | 0.0189969 | − | 0.999820i | \(-0.493953\pi\) |
−0.856371 | + | 0.516362i | \(0.827286\pi\) | |||||||
\(632\) | 108.849 | − | 561.403i | 0.172229 | − | 0.888295i | ||||
\(633\) | −230.861 | + | 141.675i | −0.364710 | + | 0.223815i | ||||
\(634\) | 187.944 | + | 57.4276i | 0.296441 | + | 0.0905798i | ||||
\(635\) | 254.922 | + | 700.391i | 0.401451 | + | 1.10298i | ||||
\(636\) | 240.342 | + | 759.738i | 0.377896 | + | 1.19456i | ||||
\(637\) | −86.9064 | − | 492.871i | −0.136431 | − | 0.773738i | ||||
\(638\) | −219.977 | − | 518.005i | −0.344791 | − | 0.811920i | ||||
\(639\) | −79.8794 | + | 106.285i | −0.125007 | + | 0.166331i | ||||
\(640\) | −356.780 | + | 310.839i | −0.557469 | + | 0.485686i | ||||
\(641\) | 229.980 | − | 192.976i | 0.358783 | − | 0.301054i | −0.445523 | − | 0.895271i | \(-0.646982\pi\) |
0.804305 | + | 0.594216i | \(0.202538\pi\) | |||||||
\(642\) | −31.4638 | + | 113.806i | −0.0490090 | + | 0.177269i | ||||
\(643\) | −231.774 | − | 40.8680i | −0.360457 | − | 0.0635584i | −0.00951324 | − | 0.999955i | \(-0.503028\pi\) |
−0.350944 | + | 0.936396i | \(0.614139\pi\) | |||||||
\(644\) | −3.44310 | + | 7.73992i | −0.00534642 | + | 0.0120185i | ||||
\(645\) | −12.7442 | − | 14.3862i | −0.0197585 | − | 0.0223042i | ||||
\(646\) | 283.229 | − | 183.995i | 0.438434 | − | 0.284821i | ||||
\(647\) | 915.078i | 1.41434i | 0.707044 | + | 0.707170i | \(0.250028\pi\) | ||||
−0.707044 | + | 0.707170i | \(0.749972\pi\) | |||||||
\(648\) | −645.702 | − | 54.5237i | −0.996454 | − | 0.0841415i | ||||
\(649\) | −1058.24 | −1.63056 | ||||||||
\(650\) | −172.720 | − | 265.873i | −0.265723 | − | 0.409036i | ||||
\(651\) | −233.127 | + | 206.518i | −0.358106 | + | 0.317233i | ||||
\(652\) | −145.429 | − | 64.6941i | −0.223051 | − | 0.0992241i | ||||
\(653\) | −105.737 | + | 599.667i | −0.161926 | + | 0.918326i | 0.790252 | + | 0.612782i | \(0.209950\pi\) |
−0.952178 | + | 0.305544i | \(0.901162\pi\) | |||||||
\(654\) | −570.013 | − | 157.590i | −0.871579 | − | 0.240963i | ||||
\(655\) | 530.691 | + | 632.453i | 0.810215 | + | 0.965577i | ||||
\(656\) | −890.475 | − | 472.751i | −1.35743 | − | 0.720657i | ||||
\(657\) | 1095.52 | − | 466.672i | 1.66746 | − | 0.710307i | ||||
\(658\) | −538.558 | + | 228.705i | −0.818477 | + | 0.347576i | ||||
\(659\) | −78.7669 | + | 13.8887i | −0.119525 | + | 0.0210755i | −0.233091 | − | 0.972455i | \(-0.574884\pi\) |
0.113566 | + | 0.993530i | \(0.463773\pi\) | |||||||
\(660\) | −673.633 | + | 213.103i | −1.02066 | + | 0.322883i | ||||
\(661\) | 80.7044 | − | 29.3740i | 0.122094 | − | 0.0444387i | −0.280250 | − | 0.959927i | \(-0.590418\pi\) |
0.402345 | + | 0.915488i | \(0.368195\pi\) | |||||||
\(662\) | 207.135 | − | 677.891i | 0.312892 | − | 1.02400i | ||||
\(663\) | 218.853 | + | 356.625i | 0.330095 | + | 0.537896i | ||||
\(664\) | −36.7574 | + | 189.581i | −0.0553575 | + | 0.285514i | ||||
\(665\) | −113.817 | + | 197.137i | −0.171154 | + | 0.296447i | ||||
\(666\) | 78.1265 | − | 1140.76i | 0.117307 | − | 1.71285i | ||||
\(667\) | 8.91231 | − | 5.14552i | 0.0133618 | − | 0.00771443i | ||||
\(668\) | −44.1742 | + | 65.5357i | −0.0661291 | + | 0.0981074i | ||||
\(669\) | 1005.71 | + | 149.649i | 1.50330 | + | 0.223691i | ||||
\(670\) | −188.505 | − | 202.083i | −0.281351 | − | 0.301617i | ||||
\(671\) | 72.5698 | − | 86.4853i | 0.108152 | − | 0.128890i | ||||
\(672\) | 138.723 | − | 320.292i | 0.206433 | − | 0.476625i | ||||
\(673\) | 721.132 | + | 262.471i | 1.07152 | + | 0.390001i | 0.816744 | − | 0.577000i | \(-0.195777\pi\) |
0.254774 | + | 0.967001i | \(0.417999\pi\) | |||||||
\(674\) | −942.019 | − | 709.629i | −1.39765 | − | 1.05286i | ||||
\(675\) | 77.1836 | + | 296.109i | 0.114346 | + | 0.438680i | ||||
\(676\) | 29.4110 | + | 102.446i | 0.0435073 | + | 0.151547i | ||||
\(677\) | −50.8219 | − | 18.4976i | −0.0750692 | − | 0.0273230i | 0.304213 | − | 0.952604i | \(-0.401607\pi\) |
−0.379282 | + | 0.925281i | \(0.623829\pi\) | |||||||
\(678\) | −434.816 | + | 913.481i | −0.641321 | + | 1.34732i | ||||
\(679\) | −179.369 | + | 213.764i | −0.264167 | + | 0.314822i | ||||
\(680\) | −252.853 | − | 151.766i | −0.371842 | − | 0.223185i | ||||
\(681\) | −444.625 | + | 559.702i | −0.652900 | + | 0.821883i | ||||
\(682\) | −908.255 | + | 47.7438i | −1.33175 | + | 0.0700056i | ||||
\(683\) | −41.0521 | + | 23.7014i | −0.0601055 | + | 0.0347019i | −0.529752 | − | 0.848153i | \(-0.677715\pi\) |
0.469646 | + | 0.882855i | \(0.344382\pi\) | |||||||
\(684\) | −609.606 | − | 9.67005i | −0.891237 | − | 0.0141375i | ||||
\(685\) | −367.260 | + | 636.113i | −0.536146 | + | 0.928633i | ||||
\(686\) | −549.351 | − | 279.799i | −0.800803 | − | 0.407870i | ||||
\(687\) | −233.663 | + | 431.009i | −0.340121 | + | 0.627378i | ||||
\(688\) | 21.8601 | + | 17.0567i | 0.0317734 | + | 0.0247917i | ||||
\(689\) | −872.801 | + | 317.674i | −1.26676 | + | 0.461065i | ||||
\(690\) | −5.36713 | − | 11.7523i | −0.00777845 | − | 0.0170323i | ||||
\(691\) | 655.348 | − | 115.555i | 0.948405 | − | 0.167229i | 0.322011 | − | 0.946736i | \(-0.395641\pi\) |
0.626394 | + | 0.779507i | \(0.284530\pi\) | |||||||
\(692\) | −535.770 | − | 133.402i | −0.774235 | − | 0.192778i | ||||
\(693\) | 380.702 | − | 355.919i | 0.549353 | − | 0.513592i | ||||
\(694\) | 536.756 | + | 65.8191i | 0.773423 | + | 0.0948402i | ||||
\(695\) | 330.242 | + | 393.567i | 0.475168 | + | 0.566283i | ||||
\(696\) | −365.115 | + | 215.616i | −0.524590 | + | 0.309794i | ||||
\(697\) | 109.106 | − | 618.773i | 0.156537 | − | 0.887766i | ||||
\(698\) | 232.064 | + | 1004.45i | 0.332470 | + | 1.43905i | ||||
\(699\) | −87.5319 | − | 428.833i | −0.125224 | − | 0.613495i | ||||
\(700\) | −164.430 | − | 11.4457i | −0.234900 | − | 0.0163511i | ||||
\(701\) | −536.019 | −0.764649 | −0.382325 | − | 0.924028i | \(-0.624876\pi\) | ||||
−0.382325 | + | 0.924028i | \(0.624876\pi\) | |||||||
\(702\) | 31.3835 | − | 754.665i | 0.0447059 | − | 1.07502i | ||||
\(703\) | − | 1075.82i | − | 1.53032i | ||||||
\(704\) | 899.538 | − | 479.390i | 1.27775 | − | 0.680951i | ||||
\(705\) | 282.616 | − | 846.443i | 0.400873 | − | 1.20063i | ||||
\(706\) | −97.2837 | − | 421.078i | −0.137796 | − | 0.596428i | ||||
\(707\) | 300.046 | + | 52.9063i | 0.424394 | + | 0.0748321i | ||||
\(708\) | 104.827 | + | 790.411i | 0.148061 | + | 1.11640i | ||||
\(709\) | 512.391 | − | 429.947i | 0.722695 | − | 0.606413i | −0.205434 | − | 0.978671i | \(-0.565861\pi\) |
0.928129 | + | 0.372258i | \(0.121416\pi\) | |||||||
\(710\) | 108.414 | + | 13.2941i | 0.152695 | + | 0.0187241i | ||||
\(711\) | −573.592 | − | 291.339i | −0.806740 | − | 0.409759i | ||||
\(712\) | −298.689 | − | 368.492i | −0.419507 | − | 0.517545i | ||||
\(713\) | −2.88802 | − | 16.3788i | −0.00405052 | − | 0.0229716i | ||||
\(714\) | 216.544 | + | 20.6769i | 0.303284 | + | 0.0289593i | ||||
\(715\) | −281.670 | − | 773.883i | −0.393944 | − | 1.08235i | ||||
\(716\) | −596.867 | + | 433.938i | −0.833613 | + | 0.606059i | ||||
\(717\) | 11.6578 | + | 434.604i | 0.0162591 | + | 0.606142i | ||||
\(718\) | 453.462 | + | 230.960i | 0.631562 | + | 0.321671i | ||||
\(719\) | 541.911 | + | 312.872i | 0.753701 | + | 0.435149i | 0.827029 | − | 0.562159i | \(-0.190029\pi\) |
−0.0733289 | + | 0.997308i | \(0.523362\pi\) | |||||||
\(720\) | 225.898 | + | 482.037i | 0.313748 | + | 0.669495i | ||||
\(721\) | 306.305 | + | 530.537i | 0.424834 | + | 0.735834i | ||||
\(722\) | 148.164 | − | 7.78847i | 0.205213 | − | 0.0107874i | ||||
\(723\) | 228.812 | − | 90.2999i | 0.316475 | − | 0.124896i | ||||
\(724\) | 366.389 | − | 38.6264i | 0.506063 | − | 0.0533513i | ||||
\(725\) | 153.391 | + | 128.710i | 0.211573 | + | 0.177531i | ||||
\(726\) | 793.445 | − | 63.0810i | 1.09290 | − | 0.0868884i | ||||
\(727\) | −484.036 | + | 1329.88i | −0.665798 | + | 1.82927i | −0.117334 | + | 0.993093i | \(0.537435\pi\) |
−0.548465 | + | 0.836174i | \(0.684787\pi\) | |||||||
\(728\) | 379.895 | + | 145.621i | 0.521834 | + | 0.200029i | ||||
\(729\) | −258.645 | + | 681.575i | −0.354794 | + | 0.934945i | ||||
\(730\) | −781.355 | − | 588.599i | −1.07035 | − | 0.806300i | ||||
\(731\) | −5.91011 | + | 16.2379i | −0.00808497 | + | 0.0222133i | ||||
\(732\) | −71.7857 | − | 45.6363i | −0.0980679 | − | 0.0623447i | ||||
\(733\) | −952.728 | − | 799.434i | −1.29977 | − | 1.09063i | −0.990186 | − | 0.139759i | \(-0.955367\pi\) |
−0.309580 | − | 0.950873i | \(-0.600188\pi\) | |||||||
\(734\) | −774.123 | − | 829.882i | −1.05466 | − | 1.13063i | ||||
\(735\) | 369.118 | − | 145.672i | 0.502202 | − | 0.198193i | ||||
\(736\) | 10.7031 | + | 15.2599i | 0.0145422 | + | 0.0207335i | ||||
\(737\) | 297.647 | + | 515.540i | 0.403863 | + | 0.699512i | ||||
\(738\) | −786.718 | + | 817.010i | −1.06601 | + | 1.10706i | ||||
\(739\) | 1173.60 | + | 677.576i | 1.58809 | + | 0.916883i | 0.993622 | + | 0.112761i | \(0.0359696\pi\) |
0.594465 | + | 0.804121i | \(0.297364\pi\) | |||||||
\(740\) | −844.150 | + | 412.050i | −1.14074 | + | 0.556825i | ||||
\(741\) | −19.0557 | − | 710.398i | −0.0257162 | − | 0.958702i | ||||
\(742\) | −141.105 | + | 461.795i | −0.190168 | + | 0.622365i | ||||
\(743\) | −272.586 | − | 748.924i | −0.366872 | − | 1.00797i | −0.976544 | − | 0.215319i | \(-0.930921\pi\) |
0.609671 | − | 0.792654i | \(-0.291301\pi\) | |||||||
\(744\) | 125.631 | + | 673.659i | 0.168858 | + | 0.905456i | ||||
\(745\) | −1.09687 | − | 6.22064i | −0.00147231 | − | 0.00834986i | ||||
\(746\) | 673.033 | − | 285.811i | 0.902189 | − | 0.383125i | ||||
\(747\) | 193.697 | + | 98.3827i | 0.259300 | + | 0.131704i | ||||
\(748\) | 457.099 | + | 441.136i | 0.611095 | + | 0.589754i | ||||
\(749\) | −54.8114 | + | 45.9923i | −0.0731795 | + | 0.0614049i | ||||
\(750\) | 574.367 | − | 565.328i | 0.765823 | − | 0.753771i | ||||
\(751\) | 1324.25 | + | 233.502i | 1.76332 | + | 0.310921i | 0.959027 | − | 0.283313i | \(-0.0914337\pi\) |
0.804292 | + | 0.594234i | \(0.202545\pi\) | |||||||
\(752\) | −178.366 | + | 1275.00i | −0.237189 | + | 1.69547i | ||||
\(753\) | 45.5878 | − | 136.537i | 0.0605416 | − | 0.181324i | ||||
\(754\) | −269.254 | − | 414.471i | −0.357101 | − | 0.549697i | ||||
\(755\) | − | 415.377i | − | 0.550168i | ||||||
\(756\) | −303.553 | − | 249.095i | −0.401525 | − | 0.329491i | ||||
\(757\) | 268.495 | 0.354682 | 0.177341 | − | 0.984149i | \(-0.443250\pi\) | ||||
0.177341 | + | 0.984149i | \(0.443250\pi\) | |||||||
\(758\) | 520.506 | − | 338.138i | 0.686683 | − | 0.446092i | ||||
\(759\) | 5.56592 | + | 27.2684i | 0.00733323 | + | 0.0359267i | ||||
\(760\) | 243.032 | + | 437.951i | 0.319779 | + | 0.576251i | ||||
\(761\) | 81.3927 | − | 461.601i | 0.106955 | − | 0.606572i | −0.883466 | − | 0.468494i | \(-0.844797\pi\) |
0.990421 | − | 0.138077i | \(-0.0440923\pi\) | |||||||
\(762\) | −1170.92 | + | 303.816i | −1.53665 | + | 0.398709i | ||||
\(763\) | −230.357 | − | 274.529i | −0.301910 | − | 0.359802i | ||||
\(764\) | −172.481 | − | 166.458i | −0.225761 | − | 0.217877i | ||||
\(765\) | −242.349 | + | 226.573i | −0.316796 | + | 0.296173i | ||||
\(766\) | 177.575 | + | 418.156i | 0.231821 | + | 0.545895i | ||||
\(767\) | −915.261 | + | 161.385i | −1.19330 | + | 0.210411i | ||||
\(768\) | −447.170 | − | 624.390i | −0.582252 | − | 0.813008i | ||||
\(769\) | 149.651 | − | 54.4686i | 0.194605 | − | 0.0708304i | −0.242879 | − | 0.970057i | \(-0.578092\pi\) |
0.437484 | + | 0.899226i | \(0.355870\pi\) | |||||||
\(770\) | −409.458 | − | 125.113i | −0.531763 | − | 0.162484i | ||||
\(771\) | 423.751 | − | 781.641i | 0.549613 | − | 1.01380i | ||||
\(772\) | 1011.31 | − | 493.643i | 1.30998 | − | 0.639434i | ||||
\(773\) | −606.372 | + | 1050.27i | −0.784440 | + | 1.35869i | 0.144894 | + | 0.989447i | \(0.453716\pi\) |
−0.929333 | + | 0.369242i | \(0.879617\pi\) | |||||||
\(774\) | 25.2094 | − | 18.3710i | 0.0325703 | − | 0.0237351i | ||||
\(775\) | 280.250 | − | 161.802i | 0.361613 | − | 0.208777i | ||||
\(776\) | 200.172 | + | 580.446i | 0.257953 | + | 0.747997i | ||||
\(777\) | 430.990 | − | 542.539i | 0.554685 | − | 0.698248i | ||||
\(778\) | −458.554 | + | 427.744i | −0.589401 | + | 0.549800i | ||||
\(779\) | −685.945 | + | 817.478i | −0.880546 | + | 1.04939i | ||||
\(780\) | −550.122 | + | 287.043i | −0.705285 | + | 0.368004i | ||||
\(781\) | −221.093 | − | 80.4714i | −0.283090 | − | 0.103036i | ||||
\(782\) | −6.98937 | + | 9.27826i | −0.00893781 | + | 0.0118648i | ||||
\(783\) | 120.322 | + | 461.607i | 0.153668 | + | 0.589536i | ||||
\(784\) | −485.305 | + | 303.680i | −0.619011 | + | 0.387347i | ||||
\(785\) | −10.5654 | − | 3.84549i | −0.0134591 | − | 0.00489871i | ||||
\(786\) | −1103.70 | + | 759.847i | −1.40420 | + | 0.966727i | ||||
\(787\) | −421.238 | + | 502.011i | −0.535245 | + | 0.637880i | −0.964115 | − | 0.265487i | \(-0.914467\pi\) |
0.428870 | + | 0.903366i | \(0.358912\pi\) | |||||||
\(788\) | −120.541 | + | 12.7080i | −0.152971 | + | 0.0161268i | ||||
\(789\) | 1534.30 | + | 228.303i | 1.94462 | + | 0.289357i | ||||
\(790\) | 27.7439 | + | 527.786i | 0.0351188 | + | 0.668084i | ||||
\(791\) | −530.925 | + | 306.530i | −0.671208 | + | 0.387522i | ||||
\(792\) | −240.379 | − | 1121.24i | −0.303509 | − | 1.41571i | ||||
\(793\) | 49.5758 | − | 85.8677i | 0.0625167 | − | 0.108282i | ||||
\(794\) | −128.462 | + | 252.220i | −0.161791 | + | 0.317657i | ||||
\(795\) | −385.196 | − | 627.683i | −0.484523 | − | 0.789539i | ||||
\(796\) | 766.199 | − | 557.047i | 0.962562 | − | 0.699808i | ||||
\(797\) | 643.625 | − | 234.260i | 0.807559 | − | 0.293928i | 0.0949441 | − | 0.995483i | \(-0.469733\pi\) |
0.712615 | + | 0.701555i | \(0.247511\pi\) | |||||||
\(798\) | −300.949 | − | 214.304i | −0.377129 | − | 0.268551i | ||||
\(799\) | −790.148 | + | 139.324i | −0.988921 | + | 0.174373i | ||||
\(800\) | −207.784 | + | 297.247i | −0.259730 | + | 0.371559i | ||||
\(801\) | −490.948 | + | 209.134i | −0.612919 | + | 0.261092i | ||||
\(802\) | −92.1109 | + | 751.166i | −0.114852 | + | 0.936616i | ||||
\(803\) | 1354.50 | + | 1614.24i | 1.68681 | + | 2.01026i | ||||
\(804\) | 355.580 | − | 273.385i | 0.442263 | − | 0.340032i | ||||
\(805\) | 1.35952 | − | 7.71020i | 0.00168884 | − | 0.00957789i | ||||
\(806\) | −778.262 | + | 179.806i | −0.965586 | + | 0.223084i | ||||
\(807\) | −287.829 | + | 254.977i | −0.356665 | + | 0.315956i | ||||
\(808\) | 439.567 | − | 506.149i | 0.544018 | − | 0.626422i | ||||
\(809\) | −614.291 | −0.759321 | −0.379661 | − | 0.925126i | \(-0.623959\pi\) | ||||
−0.379661 | + | 0.925126i | \(0.623959\pi\) | |||||||
\(810\) | 591.257 | − | 95.2884i | 0.729947 | − | 0.117640i | ||||
\(811\) | 885.453i | 1.09180i | 0.837849 | + | 0.545902i | \(0.183813\pi\) | ||||
−0.837849 | + | 0.545902i | \(0.816187\pi\) | |||||||
\(812\) | −256.331 | − | 17.8428i | −0.315678 | − | 0.0219739i | ||||
\(813\) | 208.981 | + | 235.907i | 0.257049 | + | 0.290168i | ||||
\(814\) | 1971.51 | − | 455.489i | 2.42201 | − | 0.559568i | ||||
\(815\) | 144.871 | + | 25.5447i | 0.177756 | + | 0.0313431i | ||||
\(816\) | 284.211 | − | 385.112i | 0.348298 | − | 0.471951i | ||||
\(817\) | 22.4823 | − | 18.8649i | 0.0275181 | − | 0.0230904i | ||||
\(818\) | 79.5674 | − | 648.874i | 0.0972707 | − | 0.793244i | ||||
\(819\) | 274.987 | − | 365.890i | 0.335760 | − | 0.446753i | ||||
\(820\) | 904.166 | + | 225.130i | 1.10264 | + | 0.274549i | ||||
\(821\) | 3.13868 | + | 17.8003i | 0.00382299 | + | 0.0216813i | 0.986660 | − | 0.162797i | \(-0.0520516\pi\) |
−0.982837 | + | 0.184478i | \(0.940940\pi\) | |||||||
\(822\) | −971.087 | − | 691.504i | −1.18137 | − | 0.841246i | ||||
\(823\) | −213.708 | − | 587.157i | −0.259669 | − | 0.713435i | −0.999188 | − | 0.0402987i | \(-0.987169\pi\) |
0.739519 | − | 0.673136i | \(-0.235053\pi\) | |||||||
\(824\) | 1347.73 | + | 22.8845i | 1.63560 | + | 0.0277725i | ||||
\(825\) | −461.534 | + | 283.234i | −0.559435 | + | 0.343313i | ||||
\(826\) | −219.284 | + | 430.538i | −0.265477 | + | 0.521233i | ||||
\(827\) | −151.143 | − | 87.2623i | −0.182760 | − | 0.105517i | 0.405829 | − | 0.913949i | \(-0.366983\pi\) |
−0.588589 | + | 0.808432i | \(0.700316\pi\) | |||||||
\(828\) | 19.8158 | − | 6.85842i | 0.0239321 | − | 0.00828312i | ||||
\(829\) | −686.871 | − | 1189.70i | −0.828553 | − | 1.43510i | −0.899173 | − | 0.437593i | \(-0.855831\pi\) |
0.0706196 | − | 0.997503i | \(-0.477502\pi\) | |||||||
\(830\) | −9.36888 | − | 178.229i | −0.0112878 | − | 0.214734i | ||||
\(831\) | 183.235 | − | 1231.42i | 0.220499 | − | 1.48186i | ||||
\(832\) | 704.896 | − | 551.804i | 0.847231 | − | 0.663226i | ||||
\(833\) | −273.312 | − | 229.336i | −0.328106 | − | 0.275314i | ||||
\(834\) | −686.819 | + | 472.843i | −0.823524 | + | 0.566958i | ||||
\(835\) | 24.9823 | − | 68.6383i | 0.0299189 | − | 0.0822015i | ||||
\(836\) | −297.717 | − | 1037.02i | −0.356120 | − | 1.24046i | ||||
\(837\) | 767.523 | + | 72.4226i | 0.916993 | + | 0.0865264i | ||||
\(838\) | −306.905 | + | 407.411i | −0.366235 | + | 0.486171i | ||||
\(839\) | 34.7575 | − | 95.4954i | 0.0414273 | − | 0.113821i | −0.917254 | − | 0.398303i | \(-0.869599\pi\) |
0.958681 | + | 0.284482i | \(0.0918216\pi\) | |||||||
\(840\) | −52.8884 | + | 318.223i | −0.0629624 | + | 0.378837i | ||||
\(841\) | −405.122 | − | 339.938i | −0.481714 | − | 0.404206i | ||||
\(842\) | 897.052 | − | 836.780i | 1.06538 | − | 0.993800i | ||||
\(843\) | −945.593 | − | 751.175i | −1.12170 | − | 0.891074i | ||||
\(844\) | −201.861 | + | 299.475i | −0.239172 | + | 0.354829i | ||||
\(845\) | −49.2528 | − | 85.3084i | −0.0582874 | − | 0.100957i | ||||
\(846\) | 1323.97 | + | 587.195i | 1.56497 | + | 0.694084i | ||||
\(847\) | 417.708 | + | 241.164i | 0.493161 | + | 0.284727i | ||||
\(848\) | 711.426 | + | 789.114i | 0.838946 | + | 0.930559i | ||||
\(849\) | 686.220 | + | 372.021i | 0.808268 | + | 0.438187i | ||||
\(850\) | −216.157 | − | 66.0483i | −0.254302 | − | 0.0777039i | ||||
\(851\) | 12.6551 | + | 34.7696i | 0.0148709 | + | 0.0408574i | ||||
\(852\) | −38.2041 | + | 173.109i | −0.0448405 | + | 0.203180i | ||||
\(853\) | 21.3543 | + | 121.106i | 0.0250344 | + | 0.141977i | 0.994763 | − | 0.102208i | \(-0.0325907\pi\) |
−0.969729 | + | 0.244185i | \(0.921480\pi\) | |||||||
\(854\) | −20.1484 | − | 47.4459i | −0.0235930 | − | 0.0555572i | ||||
\(855\) | 548.869 | − | 127.454i | 0.641953 | − | 0.149069i | ||||
\(856\) | 24.7020 | + | 155.484i | 0.0288575 | + | 0.181641i | ||||
\(857\) | −285.391 | + | 239.471i | −0.333011 | + | 0.279429i | −0.793925 | − | 0.608015i | \(-0.791966\pi\) |
0.460914 | + | 0.887445i | \(0.347522\pi\) | |||||||
\(858\) | 1293.79 | − | 335.695i | 1.50791 | − | 0.391253i | ||||
\(859\) | −1006.24 | − | 177.428i | −1.17141 | − | 0.206551i | −0.446107 | − | 0.894980i | \(-0.647190\pi\) |
−0.725304 | + | 0.688428i | \(0.758301\pi\) | |||||||
\(860\) | −23.4135 | − | 10.4155i | −0.0272250 | − | 0.0121110i | ||||
\(861\) | −673.420 | + | 137.456i | −0.782137 | + | 0.159647i | ||||
\(862\) | −518.252 | + | 336.673i | −0.601220 | + | 0.390572i | ||||
\(863\) | 755.082i | 0.874950i | 0.899231 | + | 0.437475i | \(0.144127\pi\) | ||||
−0.899231 | + | 0.437475i | \(0.855873\pi\) | |||||||
\(864\) | −813.659 | + | 290.611i | −0.941735 | + | 0.336355i | ||||
\(865\) | 510.281 | 0.589921 | ||||||||
\(866\) | −296.268 | − | 456.054i | −0.342111 | − | 0.526621i | ||||
\(867\) | −539.436 | − | 180.110i | −0.622187 | − | 0.207740i | ||||
\(868\) | −168.781 | + | 379.412i | −0.194449 | + | 0.437111i | ||||
\(869\) | 197.694 | − | 1121.18i | 0.227495 | − | 1.29019i | ||||
\(870\) | 279.296 | − | 274.901i | 0.321030 | − | 0.315978i | ||||
\(871\) | 336.055 | + | 400.495i | 0.385827 | + | 0.459810i | ||||
\(872\) | −778.761 | + | 123.723i | −0.893074 | + | 0.141884i | ||||
\(873\) | 689.748 | − | 37.0302i | 0.790089 | − | 0.0424172i | ||||
\(874\) | 18.1596 | − | 7.71167i | 0.0207775 | − | 0.00882342i | ||||
\(875\) | 480.945 | − | 84.8036i | 0.549651 | − | 0.0969183i | ||||
\(876\) | 1071.52 | − | 1171.60i | 1.22320 | − | 1.33745i | ||||
\(877\) | 512.795 | − | 186.642i | 0.584715 | − | 0.212819i | −0.0326883 | − | 0.999466i | \(-0.510407\pi\) |
0.617403 | + | 0.786647i | \(0.288185\pi\) | |||||||
\(878\) | −91.6942 | + | 300.088i | −0.104435 | + | 0.341786i | ||||
\(879\) | 588.884 | − | 15.7962i | 0.669948 | − | 0.0179707i | ||||
\(880\) | −699.680 | + | 630.797i | −0.795091 | + | 0.716815i | ||||
\(881\) | 456.814 | − | 791.224i | 0.518517 | − | 0.898098i | −0.481251 | − | 0.876583i | \(-0.659818\pi\) |
0.999769 | − | 0.0215153i | \(-0.00684906\pi\) | |||||||
\(882\) | 178.411 | + | 618.844i | 0.202280 | + | 0.701637i | ||||
\(883\) | −1044.63 | + | 603.119i | −1.18305 | + | 0.683034i | −0.956718 | − | 0.291016i | \(-0.906007\pi\) |
−0.226332 | + | 0.974050i | \(0.572673\pi\) | |||||||
\(884\) | 462.617 | + | 311.826i | 0.523322 | + | 0.352744i | ||||
\(885\) | −270.512 | − | 685.452i | −0.305663 | − | 0.774522i | ||||
\(886\) | −353.153 | − | 378.590i | −0.398592 | − | 0.427302i | ||||
\(887\) | 351.731 | − | 419.177i | 0.396540 | − | 0.472578i | −0.530422 | − | 0.847734i | \(-0.677966\pi\) |
0.926962 | + | 0.375156i | \(0.122411\pi\) | |||||||
\(888\) | −535.506 | − | 1427.43i | −0.603047 | − | 1.60747i | ||||
\(889\) | −688.841 | − | 250.718i | −0.774849 | − | 0.282022i | ||||
\(890\) | 350.157 | + | 263.775i | 0.393434 | + | 0.296376i | ||||
\(891\) | −1287.14 | − | 86.7074i | −1.44460 | − | 0.0973148i | ||||
\(892\) | 1303.08 | − | 374.097i | 1.46085 | − | 0.419392i | ||||
\(893\) | 1280.52 | + | 466.070i | 1.43395 | + | 0.521915i | ||||
\(894\) | 10.2197 | − | 0.812492i | 0.0114314 | − | 0.000908827i | ||||
\(895\) | 438.386 | − | 522.448i | 0.489817 | − | 0.583741i | ||||
\(896\) | −8.63782 | − | 465.311i | −0.00964043 | − | 0.519320i | ||||
\(897\) | 8.97246 | + | 22.7354i | 0.0100027 | + | 0.0253460i | ||||
\(898\) | 1613.06 | − | 84.7930i | 1.79628 | − | 0.0944243i | ||||
\(899\) | 436.883 | − | 252.235i | 0.485966 | − | 0.280573i | ||||
\(900\) | 257.270 | + | 316.670i | 0.285855 | + | 0.351855i | ||||
\(901\) | −331.072 | + | 573.434i | −0.367450 | + | 0.636442i | ||||
\(902\) | −1788.51 | − | 910.934i | −1.98283 | − | 1.00990i | ||||
\(903\) | 18.8955 | − | 0.506852i | 0.0209252 | − | 0.000561298i | ||||
\(904\) | −22.9013 | + | 1348.72i | −0.0253333 | + | 1.49195i | ||||
\(905\) | −319.962 | + | 116.457i | −0.353549 | + | 0.128681i | ||||
\(906\) | 671.109 | + | 64.0814i | 0.740739 | + | 0.0707301i | ||||
\(907\) | 645.561 | − | 113.830i | 0.711754 | − | 0.125501i | 0.193963 | − | 0.981009i | \(-0.437866\pi\) |
0.517791 | + | 0.855507i | \(0.326755\pi\) | |||||||
\(908\) | −230.279 | + | 924.847i | −0.253611 | + | 1.01855i | ||||
\(909\) | −411.559 | − | 631.979i | −0.452760 | − | 0.695247i | ||||
\(910\) | −373.217 | − | 45.7653i | −0.410129 | − | 0.0502916i | ||||
\(911\) | −469.932 | − | 560.043i | −0.515842 | − | 0.614757i | 0.443750 | − | 0.896150i | \(-0.353648\pi\) |
−0.959592 | + | 0.281394i | \(0.909203\pi\) | |||||||
\(912\) | −745.075 | + | 325.094i | −0.816968 | + | 0.356463i | ||||
\(913\) | −66.7595 | + | 378.612i | −0.0731210 | + | 0.414690i | ||||
\(914\) | −246.444 | − | 1066.70i | −0.269632 | − | 1.16706i | ||||
\(915\) | 74.5699 | + | 24.8979i | 0.0814972 | + | 0.0272108i | ||||
\(916\) | −45.3931 | + | 652.118i | −0.0495557 | + | 0.711919i | ||||
\(917\) | −811.993 | −0.885489 | ||||||||
\(918\) | −328.677 | − | 426.509i | −0.358036 | − | 0.464606i | ||||
\(919\) | − | 444.934i | − | 0.484150i | −0.970257 | − | 0.242075i | \(-0.922172\pi\) | ||
0.970257 | − | 0.242075i | \(-0.0778281\pi\) | |||||||
\(920\) | −13.0064 | − | 11.2954i | −0.0141373 | − | 0.0122776i | ||||
\(921\) | −578.996 | + | 118.182i | −0.628660 | + | 0.128320i | ||||
\(922\) | −69.4620 | − | 300.656i | −0.0753384 | − | 0.326091i | ||||
\(923\) | −203.494 | − | 35.8815i | −0.220471 | − | 0.0388749i | ||||
\(924\) | 265.309 | − | 642.244i | 0.287130 | − | 0.695069i | ||||
\(925\) | −551.510 | + | 462.772i | −0.596227 | + | 0.500294i | ||||
\(926\) | 125.791 | + | 15.4250i | 0.135843 | + | 0.0166576i | ||||
\(927\) | 441.509 | − | 1450.72i | 0.476277 | − | 1.56497i | ||||
\(928\) | −323.916 | + | 463.380i | −0.349047 | + | 0.499332i | ||||
\(929\) | 15.5752 | + | 88.3315i | 0.0167656 | + | 0.0950823i | 0.992042 | − | 0.125905i | \(-0.0401833\pi\) |
−0.975277 | + | 0.220987i | \(0.929072\pi\) | |||||||
\(930\) | −263.098 | − | 576.101i | −0.282901 | − | 0.619463i | ||||
\(931\) | 207.252 | + | 569.421i | 0.222613 | + | 0.611623i | ||||
\(932\) | −343.162 | − | 472.007i | −0.368199 | − | 0.506445i | ||||
\(933\) | −73.3840 | − | 39.7837i | −0.0786539 | − | 0.0426406i | ||||
\(934\) | 335.009 | + | 170.629i | 0.358682 | + | 0.182686i | ||||
\(935\) | −508.444 | − | 293.551i | −0.543791 | − | 0.313958i | ||||
\(936\) | −378.896 | − | 933.095i | −0.404803 | − | 0.996897i | ||||
\(937\) | 231.032 | + | 400.160i | 0.246566 | + | 0.427065i | 0.962571 | − | 0.271031i | \(-0.0873644\pi\) |
−0.716005 | + | 0.698095i | \(0.754031\pi\) | |||||||
\(938\) | 271.423 | − | 14.2677i | 0.289363 | − | 0.0152108i | ||||
\(939\) | 767.550 | + | 609.738i | 0.817412 | + | 0.649348i | ||||
\(940\) | −124.746 | − | 1183.28i | −0.132709 | − | 1.25881i | ||||
\(941\) | −187.687 | − | 157.488i | −0.199455 | − | 0.167362i | 0.537590 | − | 0.843206i | \(-0.319335\pi\) |
−0.737045 | + | 0.675844i | \(0.763779\pi\) | |||||||
\(942\) | 7.84297 | − | 16.4769i | 0.00832588 | − | 0.0174914i | ||||
\(943\) | 12.5531 | − | 34.4892i | 0.0133118 | − | 0.0365740i | ||||
\(944\) | 563.933 | + | 901.211i | 0.597387 | + | 0.954673i | ||||
\(945\) | 327.857 | + | 155.611i | 0.346939 | + | 0.164667i | ||||
\(946\) | 44.0900 | + | 33.2132i | 0.0466068 | + | 0.0351091i | ||||
\(947\) | 186.379 | − | 512.073i | 0.196810 | − | 0.540732i | −0.801553 | − | 0.597924i | \(-0.795992\pi\) |
0.998363 | + | 0.0571920i | \(0.0182147\pi\) | |||||||
\(948\) | −857.005 | − | 36.5984i | −0.904014 | − | 0.0386059i | ||||
\(949\) | 1417.68 | + | 1189.57i | 1.49387 | + | 1.25350i | ||||
\(950\) | 261.849 | + | 280.709i | 0.275630 | + | 0.295484i | ||||
\(951\) | 43.3857 | − | 291.572i | 0.0456211 | − | 0.306595i | ||||
\(952\) | 274.193 | − | 94.5578i | 0.288017 | − | 0.0993254i | ||||
\(953\) | −186.813 | − | 323.570i | −0.196026 | − | 0.339528i | 0.751210 | − | 0.660063i | \(-0.229471\pi\) |
−0.947237 | + | 0.320535i | \(0.896137\pi\) | |||||||
\(954\) | 1073.55 | − | 525.512i | 1.12531 | − | 0.550851i | ||||
\(955\) | 191.856 | + | 110.768i | 0.200896 | + | 0.115988i | ||||
\(956\) | 254.280 | + | 520.933i | 0.265983 | + | 0.544909i | ||||
\(957\) | −719.489 | + | 441.535i | −0.751817 | + | 0.461374i | ||||
\(958\) | 180.782 | − | 591.647i | 0.188708 | − | 0.617585i | ||||
\(959\) | −247.078 | − | 678.841i | −0.257641 | − | 0.707863i | ||||
\(960\) | 540.461 | + | 460.115i | 0.562980 | + | 0.479287i | ||||
\(961\) | 25.3046 | + | 143.509i | 0.0263315 | + | 0.149333i | ||||
\(962\) | 1635.69 | − | 694.613i | 1.70030 | − | 0.722051i | ||||
\(963\) | 175.821 | + | 21.3605i | 0.182576 | + | 0.0221812i | ||||
\(964\) | 227.760 | − | 236.002i | 0.236265 | − | 0.244815i | ||||
\(965\) | −796.733 | + | 668.538i | −0.825630 | + | 0.692786i | ||||
\(966\) | 12.2474 | + | 3.38600i | 0.0126784 | + | 0.00350517i | ||||
\(967\) | −297.669 | − | 52.4871i | −0.307827 | − | 0.0542782i | 0.0176007 | − | 0.999845i | \(-0.494397\pi\) |
−0.325428 | + | 0.945567i | \(0.605508\pi\) | |||||||
\(968\) | 927.959 | − | 514.952i | 0.958635 | − | 0.531976i | ||||
\(969\) | −335.938 | − | 379.221i | −0.346685 | − | 0.391353i | ||||
\(970\) | −309.134 | − | 475.860i | −0.318695 | − | 0.490577i | ||||
\(971\) | − | 259.199i | − | 0.266940i | −0.991053 | − | 0.133470i | \(-0.957388\pi\) | ||
0.991053 | − | 0.133470i | \(-0.0426120\pi\) | |||||||
\(972\) | 62.7390 | + | 969.973i | 0.0645463 | + | 0.997915i | ||||
\(973\) | −505.292 | −0.519314 | ||||||||
\(974\) | 665.118 | − | 432.082i | 0.682873 | − | 0.443616i | ||||
\(975\) | −355.984 | + | 315.353i | −0.365111 | + | 0.323439i | ||||
\(976\) | −112.325 | − | 15.7137i | −0.115087 | − | 0.0161001i | ||||
\(977\) | −126.045 | + | 714.836i | −0.129012 | + | 0.731664i | 0.849831 | + | 0.527055i | \(0.176704\pi\) |
−0.978844 | + | 0.204610i | \(0.934407\pi\) | |||||||
\(978\) | −63.6213 | + | 230.122i | −0.0650524 | + | 0.235298i | ||||
\(979\) | −607.008 | − | 723.404i | −0.620029 | − | 0.738921i | ||||
\(980\) | 367.421 | − | 380.717i | 0.374920 | − | 0.388487i | ||||
\(981\) | −106.987 | + | 880.619i | −0.109059 | + | 0.897674i | ||||
\(982\) | 310.586 | + | 731.373i | 0.316279 | + | 0.744779i | ||||
\(983\) | 204.339 | − | 36.0305i | 0.207873 | − | 0.0366536i | −0.0687418 | − | 0.997634i | \(-0.521898\pi\) |
0.276615 | + | 0.960981i | \(0.410787\pi\) | |||||||
\(984\) | −503.223 | + | 1426.10i | −0.511405 | + | 1.44929i | ||||
\(985\) | 105.266 | − | 38.3139i | 0.106870 | − | 0.0388973i | ||||
\(986\) | −336.968 | − | 102.963i | −0.341753 | − | 0.104425i | ||||
\(987\) | 459.054 | + | 748.037i | 0.465100 | + | 0.757889i | ||||
\(988\) | −415.643 | − | 851.510i | −0.420691 | − | 0.861853i | ||||
\(989\) | −0.504699 | + | 0.874164i | −0.000510312 | + | 0.000883887i | ||||
\(990\) | 465.953 | + | 951.880i | 0.470660 | + | 0.961495i | ||||
\(991\) | −159.830 | + | 92.2782i | −0.161282 | + | 0.0931162i | −0.578469 | − | 0.815705i | \(-0.696349\pi\) |
0.417187 | + | 0.908821i | \(0.363016\pi\) | |||||||
\(992\) | 524.668 | + | 748.042i | 0.528899 | + | 0.754075i | ||||
\(993\) | −1051.67 | − | 156.487i | −1.05908 | − | 0.157590i | ||||
\(994\) | −78.5537 | + | 73.2757i | −0.0790278 | + | 0.0737180i | ||||
\(995\) | −562.757 | + | 670.667i | −0.565585 | + | 0.674038i | ||||
\(996\) | 289.404 | + | 12.3590i | 0.290566 | + | 0.0124086i | ||||
\(997\) | −540.967 | − | 196.896i | −0.542595 | − | 0.197488i | 0.0561586 | − | 0.998422i | \(-0.482115\pi\) |
−0.598753 | + | 0.800934i | \(0.704337\pi\) | |||||||
\(998\) | −897.087 | + | 1190.87i | −0.898885 | + | 1.19325i | ||||
\(999\) | −1709.60 | + | 137.839i | −1.71131 | + | 0.137977i |
(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 | 108.3.j.a.31.11 | yes | 204 | |
3.2 | odd | 2 | 324.3.j.a.307.24 | 204 | |||
4.3 | odd | 2 | inner | 108.3.j.a.31.3 | yes | 204 | |
12.11 | even | 2 | 324.3.j.a.307.32 | 204 | |||
27.7 | even | 9 | inner | 108.3.j.a.7.3 | ✓ | 204 | |
27.20 | odd | 18 | 324.3.j.a.19.32 | 204 | |||
108.7 | odd | 18 | inner | 108.3.j.a.7.11 | yes | 204 | |
108.47 | even | 18 | 324.3.j.a.19.24 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.3 | ✓ | 204 | 27.7 | even | 9 | inner | |
108.3.j.a.7.11 | yes | 204 | 108.7 | odd | 18 | inner | |
108.3.j.a.31.3 | yes | 204 | 4.3 | odd | 2 | inner | |
108.3.j.a.31.11 | yes | 204 | 1.1 | even | 1 | trivial | |
324.3.j.a.19.24 | 204 | 108.47 | even | 18 | |||
324.3.j.a.19.32 | 204 | 27.20 | odd | 18 | |||
324.3.j.a.307.24 | 204 | 3.2 | odd | 2 | |||
324.3.j.a.307.32 | 204 | 12.11 | even | 2 |