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 | 7.3 | ||
Character | \(\chi\) | \(=\) | 108.7 |
Dual form | 108.3.j.a.31.3 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.91270 | − | 0.584441i | −0.956351 | − | 0.292220i | ||||
\(3\) | 2.24560 | + | 1.98929i | 0.748533 | + | 0.663097i | ||||
\(4\) | 3.31686 | + | 2.23572i | 0.829215 | + | 0.558930i | ||||
\(5\) | 0.641948 | + | 3.64067i | 0.128390 | + | 0.728133i | 0.979237 | + | 0.202720i | \(0.0649781\pi\) |
−0.850847 | + | 0.525413i | \(0.823911\pi\) | |||||||
\(6\) | −3.13254 | − | 5.11734i | −0.522090 | − | 0.852891i | ||||
\(7\) | −2.33709 | + | 2.78523i | −0.333870 | + | 0.397891i | −0.906695 | − | 0.421787i | \(-0.861403\pi\) |
0.572825 | + | 0.819678i | \(0.305847\pi\) | |||||||
\(8\) | −5.03752 | − | 6.21478i | −0.629689 | − | 0.776847i | ||||
\(9\) | 1.08543 | + | 8.93431i | 0.120604 | + | 0.992701i | ||||
\(10\) | 0.899899 | − | 7.33869i | 0.0899899 | − | 0.733869i | ||||
\(11\) | −15.6847 | − | 2.76563i | −1.42588 | − | 0.251421i | −0.593147 | − | 0.805094i | \(-0.702115\pi\) |
−0.832734 | + | 0.553673i | \(0.813226\pi\) | |||||||
\(12\) | 3.00083 | + | 11.6187i | 0.250069 | + | 0.968228i | ||||
\(13\) | 13.1438 | + | 4.78396i | 1.01106 | + | 0.367997i | 0.793841 | − | 0.608126i | \(-0.208078\pi\) |
0.217222 | + | 0.976122i | \(0.430301\pi\) | |||||||
\(14\) | 6.09796 | − | 3.96143i | 0.435568 | − | 0.282960i | ||||
\(15\) | −5.80079 | + | 9.45250i | −0.386719 | + | 0.630167i | ||||
\(16\) | 6.00310 | + | 14.8311i | 0.375194 | + | 0.926946i | ||||
\(17\) | 4.98573 | + | 8.63554i | 0.293278 | + | 0.507973i | 0.974583 | − | 0.224027i | \(-0.0719204\pi\) |
−0.681305 | + | 0.732000i | \(0.738587\pi\) | |||||||
\(18\) | 3.14546 | − | 17.7230i | 0.174748 | − | 0.984613i | ||||
\(19\) | 14.6667 | + | 8.46782i | 0.771931 | + | 0.445675i | 0.833563 | − | 0.552424i | \(-0.186297\pi\) |
−0.0616321 | + | 0.998099i | \(0.519631\pi\) | |||||||
\(20\) | −6.01027 | + | 13.5108i | −0.300513 | + | 0.675539i | ||||
\(21\) | −10.7888 | + | 1.60537i | −0.513753 | + | 0.0764460i | ||||
\(22\) | 28.3838 | + | 14.4566i | 1.29017 | + | 0.657118i | ||||
\(23\) | −0.374408 | − | 0.446202i | −0.0162786 | − | 0.0194001i | 0.757844 | − | 0.652436i | \(-0.226253\pi\) |
−0.774122 | + | 0.633036i | \(0.781808\pi\) | |||||||
\(24\) | 1.05077 | − | 23.9770i | 0.0437819 | − | 0.999041i | ||||
\(25\) | 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 | −0.0395190 | − | 0.999219i | \(-0.512583\pi\) |
0.612012 | + | 0.790848i | \(0.290360\pi\) | |||||||
\(30\) | 16.6196 | − | 14.6896i | 0.553987 | − | 0.489653i | ||||
\(31\) | −18.3535 | − | 21.8729i | −0.592050 | − | 0.705578i | 0.383949 | − | 0.923354i | \(-0.374564\pi\) |
−0.975999 | + | 0.217777i | \(0.930120\pi\) | |||||||
\(32\) | −2.81422 | − | 31.8760i | −0.0879442 | − | 0.996125i | ||||
\(33\) | −29.7199 | − | 37.4119i | −0.900602 | − | 1.13369i | ||||
\(34\) | −4.48926 | − | 19.4311i | −0.132037 | − | 0.571503i | ||||
\(35\) | −11.6404 | − | 6.72059i | −0.332583 | − | 0.192017i | ||||
\(36\) | −16.3744 | + | 32.0606i | −0.454844 | + | 0.890571i | ||||
\(37\) | −31.7620 | − | 55.0133i | −0.858431 | − | 1.48685i | −0.873425 | − | 0.486959i | \(-0.838106\pi\) |
0.0149934 | − | 0.999888i | \(-0.495227\pi\) | |||||||
\(38\) | −23.1041 | − | 24.7682i | −0.608002 | − | 0.651795i | ||||
\(39\) | 19.9990 | + | 36.8897i | 0.512796 | + | 0.945891i | ||||
\(40\) | 19.3921 | − | 22.3295i | 0.484803 | − | 0.558237i | ||||
\(41\) | 59.2116 | + | 21.5512i | 1.44418 | + | 0.525640i | 0.940961 | − | 0.338516i | \(-0.109925\pi\) |
0.503224 | + | 0.864156i | \(0.332147\pi\) | |||||||
\(42\) | 21.5740 | + | 3.23483i | 0.513667 | + | 0.0770198i | ||||
\(43\) | 1.70662 | + | 0.300923i | 0.0396888 | + | 0.00699821i | 0.193457 | − | 0.981109i | \(-0.438030\pi\) |
−0.153769 | + | 0.988107i | \(0.549141\pi\) | |||||||
\(44\) | −45.8407 | − | 44.2398i | −1.04183 | − | 1.00545i | ||||
\(45\) | −31.8300 | + | 9.68705i | −0.707334 | + | 0.215268i | ||||
\(46\) | 0.455352 | + | 1.07227i | 0.00989895 | + | 0.0233102i | ||||
\(47\) | 51.7208 | − | 61.6385i | 1.10044 | − | 1.31146i | 0.154185 | − | 0.988042i | \(-0.450725\pi\) |
0.946257 | − | 0.323415i | \(-0.104831\pi\) | |||||||
\(48\) | −16.0229 | + | 45.2467i | −0.333811 | + | 0.942640i | ||||
\(49\) | 6.21322 | + | 35.2369i | 0.126800 | + | 0.719120i | ||||
\(50\) | −22.6357 | + | 1.18988i | −0.452713 | + | 0.0237976i | ||||
\(51\) | −5.98266 | + | 29.3100i | −0.117307 | + | 0.574707i | ||||
\(52\) | 32.9006 | + | 45.2536i | 0.632703 | + | 0.870262i | ||||
\(53\) | −66.4040 | −1.25290 | −0.626452 | − | 0.779460i | \(-0.715494\pi\) | ||||
−0.626452 | + | 0.779460i | \(0.715494\pi\) | |||||||
\(54\) | 42.3198 | − | 33.5416i | 0.783699 | − | 0.621141i | ||||
\(55\) | − | 58.8781i | − | 1.07051i | ||||||
\(56\) | 29.0827 | + | 0.493825i | 0.519334 | + | 0.00881830i | ||||
\(57\) | 16.0905 | + | 48.1917i | 0.282290 | + | 0.845468i | ||||
\(58\) | −35.2869 | + | 1.85491i | −0.608394 | + | 0.0319812i | ||||
\(59\) | 65.4349 | − | 11.5379i | 1.10907 | − | 0.195558i | 0.411031 | − | 0.911622i | \(-0.365169\pi\) |
0.698035 | + | 0.716063i | \(0.254058\pi\) | |||||||
\(60\) | −40.3736 | + | 18.3836i | −0.672893 | + | 0.306394i | ||||
\(61\) | 5.43023 | + | 4.55650i | 0.0890201 | + | 0.0746967i | 0.686212 | − | 0.727402i | \(-0.259272\pi\) |
−0.597192 | + | 0.802099i | \(0.703717\pi\) | |||||||
\(62\) | 22.3215 | + | 52.5629i | 0.360023 | + | 0.847789i | ||||
\(63\) | −27.4209 | − | 17.8571i | −0.435252 | − | 0.283446i | ||||
\(64\) | −13.2469 | + | 62.6141i | −0.206983 | + | 0.978345i | ||||
\(65\) | −8.97915 | + | 50.9233i | −0.138141 | + | 0.783435i | ||||
\(66\) | 34.9802 | + | 88.9274i | 0.530003 | + | 1.34738i | ||||
\(67\) | −12.7838 | + | 35.1231i | −0.190803 | + | 0.524226i | −0.997798 | − | 0.0663325i | \(-0.978870\pi\) |
0.806995 | + | 0.590558i | \(0.201092\pi\) | |||||||
\(68\) | −2.76970 | + | 39.7896i | −0.0407309 | + | 0.585141i | ||||
\(69\) | 0.0468560 | − | 1.74680i | 0.000679073 | − | 0.0253159i | ||||
\(70\) | 18.3368 | + | 19.6576i | 0.261955 | + | 0.280823i | ||||
\(71\) | 12.7937 | − | 7.38644i | 0.180193 | − | 0.104034i | −0.407190 | − | 0.913343i | \(-0.633491\pi\) |
0.587383 | + | 0.809309i | \(0.300158\pi\) | |||||||
\(72\) | 50.0568 | − | 51.7524i | 0.695234 | − | 0.718784i | ||||
\(73\) | 66.1544 | − | 114.583i | 0.906224 | − | 1.56963i | 0.0869593 | − | 0.996212i | \(-0.472285\pi\) |
0.819265 | − | 0.573415i | \(-0.194382\pi\) | |||||||
\(74\) | 28.5991 | + | 123.787i | 0.386475 | + | 1.67280i | ||||
\(75\) | 31.6266 | + | 12.4813i | 0.421688 | + | 0.166418i | ||||
\(76\) | 29.7156 | + | 60.8772i | 0.390995 | + | 0.801016i | ||||
\(77\) | 44.3594 | − | 37.2220i | 0.576097 | − | 0.483403i | ||||
\(78\) | −16.6924 | − | 82.2473i | −0.214005 | − | 1.05445i | ||||
\(79\) | −24.4484 | − | 67.1713i | −0.309473 | − | 0.850270i | −0.992759 | − | 0.120119i | \(-0.961672\pi\) |
0.683287 | − | 0.730150i | \(-0.260550\pi\) | |||||||
\(80\) | −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 | \(-0.0646593\pi\) |
−0.879969 | + | 0.475030i | \(0.842437\pi\) | |||||||
\(84\) | −39.3741 | − | 18.7960i | −0.468739 | − | 0.223762i | ||||
\(85\) | −28.2385 | + | 23.6950i | −0.332218 | + | 0.278764i | ||||
\(86\) | −3.08838 | − | 1.57299i | −0.0359114 | − | 0.0182906i | ||||
\(87\) | 49.3029 | + | 19.4572i | 0.566700 | + | 0.223647i | ||||
\(88\) | 61.8241 | + | 111.409i | 0.702546 | + | 1.26601i | ||||
\(89\) | −29.6464 | + | 51.3491i | −0.333106 | + | 0.576957i | −0.983119 | − | 0.182966i | \(-0.941430\pi\) |
0.650013 | + | 0.759923i | \(0.274763\pi\) | |||||||
\(90\) | 66.5429 | + | 0.0743228i | 0.739365 | + | 0.000825809i | ||||
\(91\) | −44.0427 | + | 25.4281i | −0.483986 | + | 0.279429i | ||||
\(92\) | −0.244274 | − | 2.31706i | −0.00265516 | − | 0.0251854i | ||||
\(93\) | 2.29689 | − | 85.6284i | 0.0246978 | − | 0.920735i | ||||
\(94\) | −134.951 | + | 87.6683i | −1.43564 | + | 0.932641i | ||||
\(95\) | −21.4132 | + | 58.8324i | −0.225403 | + | 0.619289i | ||||
\(96\) | 57.0911 | − | 77.1790i | 0.594699 | − | 0.803948i | ||||
\(97\) | 13.3273 | − | 75.5830i | 0.137395 | − | 0.779206i | −0.835767 | − | 0.549085i | \(-0.814976\pi\) |
0.973162 | − | 0.230122i | \(-0.0739124\pi\) | |||||||
\(98\) | 8.70984 | − | 71.0289i | 0.0888760 | − | 0.724785i | ||||
\(99\) | 7.68436 | − | 143.134i | 0.0776198 | − | 1.44580i | ||||
\(100\) | 43.9907 | + | 10.9533i | 0.439907 | + | 0.109533i | ||||
\(101\) | 64.1923 | + | 53.8638i | 0.635568 | + | 0.533305i | 0.902653 | − | 0.430368i | \(-0.141616\pi\) |
−0.267086 | + | 0.963673i | \(0.586061\pi\) | |||||||
\(102\) | 28.5730 | − | 52.5649i | 0.280128 | − | 0.515342i | ||||
\(103\) | −165.931 | + | 29.2582i | −1.61098 | + | 0.284060i | −0.905398 | − | 0.424564i | \(-0.860427\pi\) |
−0.705586 | + | 0.708624i | \(0.749316\pi\) | |||||||
\(104\) | −36.4809 | − | 105.785i | −0.350778 | − | 1.01716i | ||||
\(105\) | −12.7705 | − | 38.2479i | −0.121623 | − | 0.364266i | ||||
\(106\) | 127.011 | + | 38.8092i | 1.19822 | + | 0.366124i | ||||
\(107\) | 19.6793i | 0.183919i | 0.995763 | + | 0.0919593i | \(0.0293130\pi\) | ||||
−0.995763 | + | 0.0919593i | \(0.970687\pi\) | |||||||
\(108\) | −100.548 | + | 39.4217i | −0.931001 | + | 0.365016i | ||||
\(109\) | −98.5660 | −0.904275 | −0.452137 | − | 0.891948i | \(-0.649338\pi\) | ||||
−0.452137 | + | 0.891948i | \(0.649338\pi\) | |||||||
\(110\) | −34.4108 | + | 112.616i | −0.312825 | + | 1.02378i | ||||
\(111\) | 38.1130 | − | 186.722i | 0.343360 | − | 1.68218i | ||||
\(112\) | −55.3380 | − | 17.9417i | −0.494089 | − | 0.160193i | ||||
\(113\) | −29.2796 | − | 166.053i | −0.259112 | − | 1.46950i | −0.785294 | − | 0.619123i | \(-0.787488\pi\) |
0.526182 | − | 0.850372i | \(-0.323623\pi\) | |||||||
\(114\) | −2.61125 | − | 101.580i | −0.0229057 | − | 0.891055i | ||||
\(115\) | 1.38412 | − | 1.64953i | 0.0120358 | − | 0.0143437i | ||||
\(116\) | 68.5774 | + | 17.0752i | 0.591184 | + | 0.147200i | ||||
\(117\) | −28.4746 | + | 122.623i | −0.243373 | + | 1.04806i | ||||
\(118\) | −131.901 | − | 16.1742i | −1.11780 | − | 0.137069i | ||||
\(119\) | −35.7041 | − | 6.29560i | −0.300035 | − | 0.0529042i | ||||
\(120\) | 87.9667 | − | 11.5665i | 0.733056 | − | 0.0963873i | ||||
\(121\) | 124.658 | + | 45.3718i | 1.03023 | + | 0.374973i | ||||
\(122\) | −7.72340 | − | 11.8889i | −0.0633066 | − | 0.0974498i | ||||
\(123\) | 90.0937 | + | 166.185i | 0.732469 | + | 1.35109i | ||||
\(124\) | −11.9744 | − | 113.583i | −0.0965676 | − | 0.915990i | ||||
\(125\) | 67.1593 | + | 116.323i | 0.537274 | + | 0.930586i | ||||
\(126\) | 42.0116 | + | 50.1812i | 0.333425 | + | 0.398263i | ||||
\(127\) | 174.605 | + | 100.808i | 1.37484 | + | 0.793765i | 0.991533 | − | 0.129856i | \(-0.0414515\pi\) |
0.383308 | + | 0.923621i | \(0.374785\pi\) | |||||||
\(128\) | 61.9315 | − | 112.020i | 0.483840 | − | 0.875156i | ||||
\(129\) | 3.23376 | + | 4.07072i | 0.0250679 | + | 0.0315559i | ||||
\(130\) | 46.9361 | − | 92.1533i | 0.361047 | − | 0.708871i | ||||
\(131\) | 143.553 | + | 171.080i | 1.09582 | + | 1.30595i | 0.948469 | + | 0.316869i | \(0.102631\pi\) |
0.147355 | + | 0.989084i | \(0.452924\pi\) | |||||||
\(132\) | −14.9339 | − | 190.535i | −0.113136 | − | 1.44345i | ||||
\(133\) | −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 | −0.916926 | − | 0.399056i | \(-0.869338\pi\) |
−0.445898 | + | 0.895084i | \(0.647116\pi\) | |||||||
\(138\) | −1.11052 | + | 3.31372i | −0.00804725 | + | 0.0240124i | ||||
\(139\) | 89.3311 | + | 106.461i | 0.642670 | + | 0.765904i | 0.984789 | − | 0.173753i | \(-0.0555893\pi\) |
−0.342120 | + | 0.939656i | \(0.611145\pi\) | |||||||
\(140\) | −23.5842 | − | 48.3159i | −0.168458 | − | 0.345114i | ||||
\(141\) | 238.761 | − | 35.5275i | 1.69334 | − | 0.251968i | ||||
\(142\) | −28.7875 | + | 6.65091i | −0.202729 | + | 0.0468374i | ||||
\(143\) | −192.926 | − | 111.386i | −1.34913 | − | 0.778922i | ||||
\(144\) | −125.990 | + | 69.7317i | −0.874931 | + | 0.484248i | ||||
\(145\) | 32.6574 | + | 56.5643i | 0.225224 | + | 0.390099i | ||||
\(146\) | −193.500 | + | 180.499i | −1.32535 | + | 1.23630i | ||||
\(147\) | −56.1441 | + | 91.4879i | −0.381933 | + | 0.622366i | ||||
\(148\) | 17.6446 | − | 253.482i | 0.119220 | − | 1.71272i | ||||
\(149\) | 1.60561 | + | 0.584395i | 0.0107759 | + | 0.00392211i | 0.347402 | − | 0.937716i | \(-0.387064\pi\) |
−0.336627 | + | 0.941638i | \(0.609286\pi\) | |||||||
\(150\) | −53.1976 | − | 42.3570i | −0.354651 | − | 0.282380i | ||||
\(151\) | −110.653 | − | 19.5112i | −0.732803 | − | 0.129213i | −0.205220 | − | 0.978716i | \(-0.565791\pi\) |
−0.527584 | + | 0.849503i | \(0.676902\pi\) | |||||||
\(152\) | −21.2581 | − | 133.807i | −0.139856 | − | 0.880309i | ||||
\(153\) | −71.7409 | + | 53.9174i | −0.468895 | + | 0.352401i | ||||
\(154\) | −106.600 | + | 45.2691i | −0.692211 | + | 0.293955i | ||||
\(155\) | 67.8499 | − | 80.8604i | 0.437741 | − | 0.521680i | ||||
\(156\) | −16.1412 | + | 167.070i | −0.103469 | + | 1.07096i | ||||
\(157\) | 0.528130 | + | 2.99517i | 0.00336389 | + | 0.0190775i | 0.986443 | − | 0.164101i | \(-0.0524724\pi\) |
−0.983080 | + | 0.183179i | \(0.941361\pi\) | |||||||
\(158\) | 7.50478 | + | 142.767i | 0.0474986 | + | 0.903590i | ||||
\(159\) | −149.117 | − | 132.097i | −0.937841 | − | 0.830798i | ||||
\(160\) | 114.243 | − | 30.7083i | 0.714021 | − | 0.191927i | ||||
\(161\) | 2.11780 | 0.0131540 | ||||||||
\(162\) | 161.757 | + | 8.86540i | 0.998501 | + | 0.0547247i | ||||
\(163\) | 39.7924i | 0.244125i | 0.992522 | + | 0.122063i | \(0.0389509\pi\) | ||||
−0.992522 | + | 0.122063i | \(0.961049\pi\) | |||||||
\(164\) | 148.214 | + | 203.863i | 0.903742 | + | 1.24307i | ||||
\(165\) | 117.126 | − | 132.217i | 0.709853 | − | 0.801313i | ||||
\(166\) | −2.53430 | − | 48.2113i | −0.0152669 | − | 0.290430i | ||||
\(167\) | −19.4582 | + | 3.43101i | −0.116516 | + | 0.0205449i | −0.231602 | − | 0.972811i | \(-0.574397\pi\) |
0.115086 | + | 0.993356i | \(0.463286\pi\) | |||||||
\(168\) | 64.3258 | + | 58.9630i | 0.382892 | + | 0.350970i | ||||
\(169\) | 20.4120 | + | 17.1277i | 0.120781 | + | 0.101347i | ||||
\(170\) | 67.8602 | − | 28.8176i | 0.399178 | − | 0.169516i | ||||
\(171\) | −59.7344 | + | 140.228i | −0.349324 | + | 0.820046i | ||||
\(172\) | 4.98783 | + | 4.81364i | 0.0289990 | + | 0.0279863i | ||||
\(173\) | 23.9690 | − | 135.935i | 0.138549 | − | 0.785752i | −0.833773 | − | 0.552108i | \(-0.813824\pi\) |
0.972322 | − | 0.233645i | \(-0.0750652\pi\) | |||||||
\(174\) | −82.9301 | − | 66.0305i | −0.476610 | − | 0.379486i | ||||
\(175\) | −14.0936 | + | 38.7218i | −0.0805348 | + | 0.221268i | ||||
\(176\) | −53.1392 | − | 249.224i | −0.301927 | − | 1.41605i | ||||
\(177\) | 169.893 | + | 104.260i | 0.959847 | + | 0.589037i | ||||
\(178\) | 86.7153 | − | 80.8890i | 0.487165 | − | 0.454433i | ||||
\(179\) | −159.768 | + | 92.2423i | −0.892560 | + | 0.515320i | −0.874779 | − | 0.484522i | \(-0.838994\pi\) |
−0.0177813 | + | 0.999842i | \(0.505660\pi\) | |||||||
\(180\) | −127.233 | − | 39.0325i | −0.706852 | − | 0.216847i | ||||
\(181\) | −46.0525 | + | 79.7652i | −0.254434 | + | 0.440692i | −0.964742 | − | 0.263199i | \(-0.915222\pi\) |
0.710308 | + | 0.703891i | \(0.248556\pi\) | |||||||
\(182\) | 99.1017 | − | 22.8960i | 0.544515 | − | 0.125802i | ||||
\(183\) | 3.12990 | + | 21.0344i | 0.0171033 | + | 0.114942i | ||||
\(184\) | −0.886959 | + | 4.57461i | −0.00482043 | + | 0.0248620i | ||||
\(185\) | 179.896 | − | 150.950i | 0.972409 | − | 0.815948i | ||||
\(186\) | −54.4380 | + | 162.439i | −0.292677 | + | 0.873329i | ||||
\(187\) | −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 | \(-0.0609693\pi\) |
−0.874404 | + | 0.485199i | \(0.838747\pi\) | |||||||
\(192\) | −154.305 | + | 114.254i | −0.803671 | + | 0.595074i | ||||
\(193\) | −215.518 | + | 180.841i | −1.11667 | + | 0.937000i | −0.998432 | − | 0.0559849i | \(-0.982170\pi\) |
−0.118241 | + | 0.992985i | \(0.537726\pi\) | |||||||
\(194\) | −69.6650 | + | 136.779i | −0.359098 | + | 0.705045i | ||||
\(195\) | −121.465 | + | 96.4911i | −0.622897 | + | 0.494826i | ||||
\(196\) | −58.1715 | + | 130.767i | −0.296794 | + | 0.667178i | ||||
\(197\) | 15.1511 | − | 26.2425i | 0.0769093 | − | 0.133211i | −0.825006 | − | 0.565124i | \(-0.808828\pi\) |
0.901915 | + | 0.431914i | \(0.142161\pi\) | |||||||
\(198\) | −98.3511 | + | 269.281i | −0.496722 | + | 1.36001i | ||||
\(199\) | 205.095 | − | 118.412i | 1.03063 | − | 0.595033i | 0.113463 | − | 0.993542i | \(-0.463806\pi\) |
0.917164 | + | 0.398510i | \(0.130472\pi\) | |||||||
\(200\) | −77.7395 | − | 46.6604i | −0.388698 | − | 0.233302i | ||||
\(201\) | −98.5774 | + | 53.4418i | −0.490435 | + | 0.265880i | ||||
\(202\) | −91.3006 | − | 140.542i | −0.451983 | − | 0.695752i | ||||
\(203\) | −21.9706 | + | 60.3637i | −0.108230 | + | 0.297358i | ||||
\(204\) | −85.3728 | + | 83.8417i | −0.418494 | + | 0.410989i | ||||
\(205\) | −40.4502 | + | 229.404i | −0.197318 | + | 1.11905i | ||||
\(206\) | 334.477 | + | 41.0149i | 1.62367 | + | 0.199101i | ||||
\(207\) | 3.58011 | − | 3.82939i | 0.0172952 | − | 0.0184995i | ||||
\(208\) | 7.95205 | + | 223.656i | 0.0382310 | + | 1.07527i | ||||
\(209\) | −206.624 | − | 173.378i | −0.988629 | − | 0.829559i | ||||
\(210\) | 2.07245 | + | 80.6204i | 0.00986882 | + | 0.383907i | ||||
\(211\) | −88.9172 | + | 15.6785i | −0.421408 | + | 0.0743057i | −0.380331 | − | 0.924850i | \(-0.624190\pi\) |
−0.0410771 | + | 0.999156i | \(0.513079\pi\) | |||||||
\(212\) | −220.252 | − | 148.461i | −1.03893 | − | 0.700287i | ||||
\(213\) | 43.4233 | + | 8.86341i | 0.203865 | + | 0.0416122i | ||||
\(214\) | 11.5014 | − | 37.6406i | 0.0537448 | − | 0.175891i | ||||
\(215\) | 6.40641i | 0.0297972i | ||||||||
\(216\) | 215.358 | − | 16.6375i | 0.997029 | − | 0.0770255i | ||||
\(217\) | 103.815 | 0.478410 | ||||||||
\(218\) | 188.527 | + | 57.6060i | 0.864804 | + | 0.264247i | ||||
\(219\) | 376.495 | − | 125.707i | 1.71915 | − | 0.574002i | ||||
\(220\) | 131.635 | − | 195.290i | 0.598341 | − | 0.887683i | ||||
\(221\) | 24.2195 | + | 137.355i | 0.109590 | + | 0.621518i | ||||
\(222\) | −182.027 | + | 334.868i | −0.819939 | + | 1.50842i | ||||
\(223\) | 217.859 | − | 259.634i | 0.976944 | − | 1.16428i | −0.00946232 | − | 0.999955i | \(-0.503012\pi\) |
0.986407 | − | 0.164322i | \(-0.0525436\pi\) | |||||||
\(224\) | 95.3592 | + | 66.6588i | 0.425711 | + | 0.297584i | ||||
\(225\) | 46.1916 | + | 90.9426i | 0.205296 | + | 0.404189i | ||||
\(226\) | −41.0449 | + | 334.722i | −0.181615 | + | 1.48107i | ||||
\(227\) | −234.651 | − | 41.3753i | −1.03371 | − | 0.182270i | −0.369042 | − | 0.929413i | \(-0.620314\pi\) |
−0.664664 | + | 0.747143i | \(0.731425\pi\) | |||||||
\(228\) | −54.3731 | + | 195.819i | −0.238478 | + | 0.858855i | ||||
\(229\) | 153.568 | + | 55.8943i | 0.670604 | + | 0.244080i | 0.654808 | − | 0.755795i | \(-0.272750\pi\) |
0.0157961 | + | 0.999875i | \(0.494972\pi\) | |||||||
\(230\) | −3.61146 | + | 2.34612i | −0.0157020 | + | 0.0102005i | ||||
\(231\) | 173.659 | + | 4.65822i | 0.751770 | + | 0.0201655i | ||||
\(232\) | −121.189 | − | 72.7392i | −0.522365 | − | 0.313531i | ||||
\(233\) | −72.9459 | − | 126.346i | −0.313072 | − | 0.542257i | 0.665953 | − | 0.745993i | \(-0.268025\pi\) |
−0.979026 | + | 0.203736i | \(0.934692\pi\) | |||||||
\(234\) | 126.130 | − | 217.900i | 0.539015 | − | 0.931199i | ||||
\(235\) | 257.607 | + | 148.730i | 1.09620 | + | 0.632892i | ||||
\(236\) | 242.834 | + | 108.025i | 1.02896 | + | 0.457731i | ||||
\(237\) | 78.7221 | − | 199.475i | 0.332161 | − | 0.841666i | ||||
\(238\) | 64.6119 | + | 32.9085i | 0.271479 | + | 0.138271i | ||||
\(239\) | −93.1529 | − | 111.015i | −0.389761 | − | 0.464499i | 0.535109 | − | 0.844783i | \(-0.320271\pi\) |
−0.924870 | + | 0.380284i | \(0.875826\pi\) | |||||||
\(240\) | −175.014 | − | 29.2881i | −0.729225 | − | 0.122034i | ||||
\(241\) | −77.0503 | + | 28.0440i | −0.319711 | + | 0.116365i | −0.496890 | − | 0.867813i | \(-0.665525\pi\) |
0.177180 | + | 0.984179i | \(0.443303\pi\) | |||||||
\(242\) | −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 | ||||
\(246\) | −75.1974 | − | 370.516i | −0.305680 | − | 1.50616i | ||||
\(247\) | 152.267 | + | 181.464i | 0.616464 | + | 0.734673i | ||||
\(248\) | −43.4789 | + | 224.248i | −0.175318 | + | 0.904227i | ||||
\(249\) | −26.5838 | + | 67.3610i | −0.106762 | + | 0.270526i | ||||
\(250\) | −60.4716 | − | 261.742i | −0.241887 | − | 1.04697i | ||||
\(251\) | 41.5537 | + | 23.9911i | 0.165553 | + | 0.0955819i | 0.580487 | − | 0.814269i | \(-0.302862\pi\) |
−0.414934 | + | 0.909851i | \(0.636195\pi\) | |||||||
\(252\) | −51.0277 | − | 120.535i | −0.202491 | − | 0.478313i | ||||
\(253\) | 4.63844 | + | 8.03401i | 0.0183337 | + | 0.0317550i | ||||
\(254\) | −275.051 | − | 294.862i | −1.08288 | − | 1.16087i | ||||
\(255\) | −110.549 | − | 2.96535i | −0.433524 | − | 0.0116288i | ||||
\(256\) | −183.926 | + | 178.066i | −0.718459 | + | 0.695569i | ||||
\(257\) | −278.499 | − | 101.365i | −1.08365 | − | 0.394417i | −0.262387 | − | 0.964963i | \(-0.584510\pi\) |
−0.821266 | + | 0.570546i | \(0.806732\pi\) | |||||||
\(258\) | −3.80612 | − | 9.67601i | −0.0147524 | − | 0.0375039i | ||||
\(259\) | 227.456 | + | 40.1065i | 0.878207 | + | 0.154852i | ||||
\(260\) | −143.633 | + | 148.830i | −0.552434 | + | 0.572425i | ||||
\(261\) | 72.0084 | + | 141.771i | 0.275894 | + | 0.543184i | ||||
\(262\) | −174.588 | − | 411.123i | −0.666367 | − | 1.56917i | ||||
\(263\) | 332.363 | − | 396.095i | 1.26374 | − | 1.50606i | 0.491270 | − | 0.871007i | \(-0.336533\pi\) |
0.772466 | − | 0.635056i | \(-0.219023\pi\) | |||||||
\(264\) | −82.7925 | + | 373.166i | −0.313608 | + | 1.41351i | ||||
\(265\) | −42.6279 | − | 241.755i | −0.160860 | − | 0.912282i | ||||
\(266\) | 122.982 | − | 6.46471i | 0.462337 | − | 0.0243034i | ||||
\(267\) | −168.722 | + | 56.3341i | −0.631919 | + | 0.210989i | ||||
\(268\) | −120.927 | + | 87.9175i | −0.451222 | + | 0.328050i | ||||
\(269\) | 128.175 | 0.476485 | 0.238243 | − | 0.971206i | \(-0.423429\pi\) | ||||
0.238243 | + | 0.971206i | \(0.423429\pi\) | |||||||
\(270\) | 149.281 | + | 132.540i | 0.552892 | + | 0.490889i | ||||
\(271\) | − | 105.053i | − | 0.387649i | −0.981036 | − | 0.193824i | \(-0.937911\pi\) | ||
0.981036 | − | 0.193824i | \(-0.0620892\pi\) | |||||||
\(272\) | −98.1451 | + | 125.784i | −0.360828 | + | 0.462442i | ||||
\(273\) | −149.486 | − | 30.5126i | −0.547568 | − | 0.111768i | ||||
\(274\) | 396.831 | − | 20.8600i | 1.44829 | − | 0.0761314i | ||||
\(275\) | −177.762 | + | 31.3442i | −0.646406 | + | 0.113979i | ||||
\(276\) | 4.06076 | − | 5.68912i | 0.0147129 | − | 0.0206127i | ||||
\(277\) | −317.904 | − | 266.753i | −1.14767 | − | 0.963007i | −0.148005 | − | 0.988987i | \(-0.547285\pi\) |
−0.999662 | + | 0.0259792i | \(0.991730\pi\) | |||||||
\(278\) | −108.644 | − | 255.836i | −0.390805 | − | 0.920274i | ||||
\(279\) | 175.498 | − | 187.718i | 0.629024 | − | 0.672824i | ||||
\(280\) | 16.8717 | + | 106.198i | 0.0602562 | + | 0.379277i | ||||
\(281\) | 69.9019 | − | 396.433i | 0.248761 | − | 1.41079i | −0.562832 | − | 0.826571i | \(-0.690288\pi\) |
0.811593 | − | 0.584223i | \(-0.198601\pi\) | |||||||
\(282\) | −477.443 | − | 71.5882i | −1.69306 | − | 0.253859i | ||||
\(283\) | 88.9908 | − | 244.500i | 0.314455 | − | 0.863958i | −0.677288 | − | 0.735718i | \(-0.736845\pi\) |
0.991743 | − | 0.128240i | \(-0.0409328\pi\) | |||||||
\(284\) | 58.9489 | + | 4.10335i | 0.207567 | + | 0.0144484i | ||||
\(285\) | −165.120 | + | 89.5168i | −0.579370 | + | 0.314094i | ||||
\(286\) | 303.911 | + | 325.802i | 1.06263 | + | 1.13917i | ||||
\(287\) | −198.408 | + | 114.551i | −0.691317 | + | 0.399132i | ||||
\(288\) | 281.735 | − | 59.7423i | 0.978248 | − | 0.207439i | ||||
\(289\) | 94.7849 | − | 164.172i | 0.327976 | − | 0.568070i | ||||
\(290\) | −29.4054 | − | 127.277i | −0.101398 | − | 0.438886i | ||||
\(291\) | 180.285 | − | 143.217i | 0.619534 | − | 0.492155i | ||||
\(292\) | 475.600 | − | 232.152i | 1.62877 | − | 0.795041i | ||||
\(293\) | −150.425 | + | 126.221i | −0.513394 | + | 0.430789i | −0.862322 | − | 0.506361i | \(-0.830990\pi\) |
0.348927 | + | 0.937150i | \(0.386546\pi\) | |||||||
\(294\) | 160.856 | − | 142.176i | 0.547130 | − | 0.483592i | ||||
\(295\) | 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 | ||||
\(300\) | 76.9961 | + | 112.107i | 0.256654 | + | 0.373690i | ||||
\(301\) | −4.82666 | + | 4.05005i | −0.0160354 | + | 0.0134553i | ||||
\(302\) | 200.244 | + | 101.989i | 0.663059 | + | 0.337713i | ||||
\(303\) | 36.9995 | + | 248.654i | 0.122110 | + | 0.820639i | ||||
\(304\) | −37.5418 | + | 268.357i | −0.123493 | + | 0.882753i | ||||
\(305\) | −13.1028 | + | 22.6947i | −0.0429599 | + | 0.0744088i | ||||
\(306\) | 168.730 | − | 61.1995i | 0.551407 | − | 0.199999i | ||||
\(307\) | −170.588 | + | 98.4890i | −0.555661 | + | 0.320811i | −0.751402 | − | 0.659845i | \(-0.770622\pi\) |
0.195741 | + | 0.980656i | \(0.437289\pi\) | |||||||
\(308\) | 230.352 | − | 24.2847i | 0.747896 | − | 0.0788465i | ||||
\(309\) | −430.818 | − | 264.384i | −1.39423 | − | 0.855611i | ||||
\(310\) | −177.035 | + | 115.008i | −0.571080 | + | 0.370992i | ||||
\(311\) | −9.51663 | + | 26.1467i | −0.0306001 | + | 0.0840731i | −0.954052 | − | 0.299641i | \(-0.903133\pi\) |
0.923452 | + | 0.383714i | \(0.125355\pi\) | |||||||
\(312\) | 128.516 | − | 310.122i | 0.411910 | − | 0.993981i | ||||
\(313\) | −56.7402 | + | 321.790i | −0.181279 | + | 1.02808i | 0.749365 | + | 0.662157i | \(0.230359\pi\) |
−0.930644 | + | 0.365926i | \(0.880752\pi\) | |||||||
\(314\) | 0.740346 | − | 6.03754i | 0.00235779 | − | 0.0192278i | ||||
\(315\) | 47.4089 | − | 111.294i | 0.150505 | − | 0.353313i | ||||
\(316\) | 69.0846 | − | 277.457i | 0.218622 | − | 0.878030i | ||||
\(317\) | −75.2721 | − | 63.1608i | −0.237452 | − | 0.199245i | 0.516295 | − | 0.856411i | \(-0.327311\pi\) |
−0.753746 | + | 0.657165i | \(0.771755\pi\) | |||||||
\(318\) | 208.013 | + | 339.812i | 0.654129 | + | 1.06859i | ||||
\(319\) | −277.114 | + | 48.8627i | −0.868696 | + | 0.153174i | ||||
\(320\) | −236.461 | − | 8.03252i | −0.738940 | − | 0.0251016i | ||||
\(321\) | −39.1479 | + | 44.1918i | −0.121956 | + | 0.137669i | ||||
\(322\) | −4.05072 | − | 1.23773i | −0.0125799 | − | 0.00384388i | ||||
\(323\) | 168.873i | 0.522827i | ||||||||
\(324\) | −304.212 | − | 111.494i | −0.938926 | − | 0.344118i | ||||
\(325\) | 158.525 | 0.487769 | ||||||||
\(326\) | 23.2563 | − | 76.1111i | 0.0713384 | − | 0.233470i | ||||
\(327\) | −221.340 | − | 196.077i | −0.676880 | − | 0.599622i | ||||
\(328\) | −164.343 | − | 476.551i | −0.501046 | − | 1.45290i | ||||
\(329\) | 50.8014 | + | 288.109i | 0.154412 | + | 0.875712i | ||||
\(330\) | −301.299 | + | 184.438i | −0.913029 | + | 0.558903i | ||||
\(331\) | −227.814 | + | 271.498i | −0.688259 | + | 0.820235i | −0.991144 | − | 0.132792i | \(-0.957606\pi\) |
0.302885 | + | 0.953027i | \(0.402050\pi\) | |||||||
\(332\) | −23.3293 | + | 93.6950i | −0.0702689 | + | 0.282214i | ||||
\(333\) | 457.031 | − | 343.484i | 1.37246 | − | 1.03148i | ||||
\(334\) | 39.2230 | + | 4.80967i | 0.117434 | + | 0.0144002i | ||||
\(335\) | −136.078 | − | 23.9942i | −0.406203 | − | 0.0716246i | ||||
\(336\) | −88.5757 | − | 150.373i | −0.263618 | − | 0.447539i | ||||
\(337\) | 554.135 | + | 201.688i | 1.64432 | + | 0.598482i | 0.987786 | − | 0.155817i | \(-0.0498012\pi\) |
0.656530 | + | 0.754300i | \(0.272023\pi\) | |||||||
\(338\) | −29.0320 | − | 44.6898i | −0.0858934 | − | 0.132218i | ||||
\(339\) | 264.578 | − | 431.134i | 0.780465 | − | 1.27178i | ||||
\(340\) | −146.639 | + | 15.4593i | −0.431290 | + | 0.0454685i | ||||
\(341\) | 227.377 | + | 393.829i | 0.666795 | + | 1.15492i | ||||
\(342\) | 196.209 | − | 233.303i | 0.573710 | − | 0.682173i | ||||
\(343\) | −266.953 | − | 154.125i | −0.778288 | − | 0.449345i | ||||
\(344\) | −6.72695 | − | 12.1222i | −0.0195551 | − | 0.0352388i | ||||
\(345\) | 6.38958 | − | 0.950765i | 0.0185205 | − | 0.00275584i | ||||
\(346\) | −125.292 | + | 245.995i | −0.362115 | + | 0.710968i | ||||
\(347\) | 173.802 | + | 207.129i | 0.500871 | + | 0.596915i | 0.955947 | − | 0.293538i | \(-0.0948326\pi\) |
−0.455077 | + | 0.890452i | \(0.650388\pi\) | |||||||
\(348\) | 120.030 | + | 174.764i | 0.344913 | + | 0.502197i | ||||
\(349\) | −484.371 | + | 176.297i | −1.38788 | + | 0.505148i | −0.924558 | − | 0.381041i | \(-0.875566\pi\) |
−0.463324 | + | 0.886189i | \(0.653343\pi\) | |||||||
\(350\) | 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 | −0.0379952 | − | 0.999278i | \(-0.512097\pi\) |
0.613217 | + | 0.789914i | \(0.289875\pi\) | |||||||
\(354\) | −264.021 | − | 298.710i | −0.745822 | − | 0.843813i | ||||
\(355\) | 35.1045 | + | 41.8359i | 0.0988858 | + | 0.117847i | ||||
\(356\) | −213.135 | + | 104.037i | −0.598695 | + | 0.292238i | ||||
\(357\) | −67.6533 | − | 85.1633i | −0.189505 | − | 0.238553i | ||||
\(358\) | 359.499 | − | 83.0569i | 1.00419 | − | 0.232003i | ||||
\(359\) | 220.356 | + | 127.223i | 0.613806 | + | 0.354381i | 0.774453 | − | 0.632631i | \(-0.218025\pi\) |
−0.160648 | + | 0.987012i | \(0.551358\pi\) | |||||||
\(360\) | 220.547 | + | 149.018i | 0.612631 | + | 0.413939i | ||||
\(361\) | −37.0922 | − | 64.2455i | −0.102748 | − | 0.177965i | ||||
\(362\) | 134.703 | − | 125.652i | 0.372107 | − | 0.347106i | ||||
\(363\) | 189.674 | + | 349.868i | 0.522518 | + | 0.963823i | ||||
\(364\) | −202.933 | − | 14.1259i | −0.557509 | − | 0.0388075i | ||||
\(365\) | 459.625 | + | 167.290i | 1.25925 | + | 0.458328i | ||||
\(366\) | 6.30678 | − | 42.0617i | 0.0172316 | − | 0.114923i | ||||
\(367\) | −558.823 | − | 98.5356i | −1.52268 | − | 0.268489i | −0.651194 | − | 0.758911i | \(-0.725732\pi\) |
−0.871485 | + | 0.490422i | \(0.836843\pi\) | |||||||
\(368\) | 4.37007 | − | 8.23148i | 0.0118752 | − | 0.0223682i | ||||
\(369\) | −128.275 | + | 552.407i | −0.347630 | + | 1.49704i | ||||
\(370\) | −432.308 | + | 183.585i | −1.16840 | + | 0.496175i | ||||
\(371\) | 155.192 | − | 184.951i | 0.418307 | − | 0.498519i | ||||
\(372\) | 199.060 | − | 278.882i | 0.535107 | − | 0.749683i | ||||
\(373\) | −63.4862 | − | 360.048i | −0.170204 | − | 0.965277i | −0.943535 | − | 0.331274i | \(-0.892522\pi\) |
0.773330 | − | 0.634003i | \(-0.218589\pi\) | |||||||
\(374\) | 16.6734 | + | 317.186i | 0.0445812 | + | 0.848091i | ||||
\(375\) | −80.5882 | + | 394.815i | −0.214902 | + | 1.05284i | ||||
\(376\) | −643.614 | − | 10.9286i | −1.71174 | − | 0.0290653i | ||||
\(377\) | 247.126 | 0.655506 | ||||||||
\(378\) | −5.48385 | + | 196.260i | −0.0145075 | + | 0.519207i | ||||
\(379\) | 310.348i | 0.818860i | 0.912342 | + | 0.409430i | \(0.134272\pi\) | ||||
−0.912342 | + | 0.409430i | \(0.865728\pi\) | |||||||
\(380\) | −202.558 | + | 147.265i | −0.533046 | + | 0.387539i | ||||
\(381\) | 191.556 | + | 573.715i | 0.502770 | + | 1.50581i | ||||
\(382\) | −6.29152 | − | 119.687i | −0.0164699 | − | 0.313316i | ||||
\(383\) | 223.698 | − | 39.4441i | 0.584069 | − | 0.102987i | 0.126197 | − | 0.992005i | \(-0.459723\pi\) |
0.457872 | + | 0.889018i | \(0.348612\pi\) | |||||||
\(384\) | 361.914 | − | 128.352i | 0.942484 | − | 0.334250i | ||||
\(385\) | 163.989 | + | 137.603i | 0.425946 | + | 0.357411i | ||||
\(386\) | 517.912 | − | 219.938i | 1.34174 | − | 0.569786i | ||||
\(387\) | −0.836120 | + | 15.5741i | −0.00216052 | + | 0.0402431i | ||||
\(388\) | 213.187 | − | 220.902i | 0.549452 | − | 0.569335i | ||||
\(389\) | −54.4461 | + | 308.779i | −0.139964 | + | 0.793778i | 0.831309 | + | 0.555811i | \(0.187592\pi\) |
−0.971273 | + | 0.237967i | \(0.923519\pi\) | |||||||
\(390\) | 288.719 | − | 113.570i | 0.740306 | − | 0.291205i | ||||
\(391\) | 1.98650 | − | 5.45785i | 0.00508055 | − | 0.0139587i | ||||
\(392\) | 187.690 | − | 216.120i | 0.478802 | − | 0.551327i | ||||
\(393\) | −17.9652 | + | 669.745i | −0.0457131 | + | 1.70419i | ||||
\(394\) | −44.3168 | + | 41.3392i | −0.112479 | + | 0.104922i | ||||
\(395\) | 228.854 | − | 132.129i | 0.579376 | − | 0.334503i | ||||
\(396\) | 345.495 | − | 457.574i | 0.872462 | − | 1.15549i | ||||
\(397\) | −70.7625 | + | 122.564i | −0.178243 | + | 0.308726i | −0.941279 | − | 0.337630i | \(-0.890375\pi\) |
0.763036 | + | 0.646356i | \(0.223708\pi\) | |||||||
\(398\) | −461.490 | + | 106.620i | −1.15952 | + | 0.267890i | ||||
\(399\) | −171.830 | − | 67.8123i | −0.430652 | − | 0.169956i | ||||
\(400\) | 121.422 | + | 134.682i | 0.303556 | + | 0.336704i | ||||
\(401\) | −289.868 | + | 243.229i | −0.722864 | + | 0.606555i | −0.928176 | − | 0.372142i | \(-0.878624\pi\) |
0.205312 | + | 0.978697i | \(0.434179\pi\) | |||||||
\(402\) | 219.783 | − | 44.6056i | 0.546723 | − | 0.110959i | ||||
\(403\) | −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 | ||||
\(408\) | 212.293 | − | 110.469i | 0.520326 | − | 0.270757i | ||||
\(409\) | 250.395 | − | 210.106i | 0.612212 | − | 0.513707i | −0.283133 | − | 0.959081i | \(-0.591374\pi\) |
0.895345 | + | 0.445374i | \(0.146929\pi\) | |||||||
\(410\) | 211.442 | − | 415.141i | 0.515713 | − | 1.01254i | ||||
\(411\) | −554.453 | − | 218.813i | −1.34903 | − | 0.532392i | ||||
\(412\) | −615.784 | − | 273.931i | −1.49462 | − | 0.664881i | ||||
\(413\) | −120.791 | + | 209.217i | −0.292473 | + | 0.506578i | ||||
\(414\) | −9.08573 | + | 5.23213i | −0.0219462 | + | 0.0126380i | ||||
\(415\) | −77.2820 | + | 44.6188i | −0.186222 | + | 0.107515i | ||||
\(416\) | 115.504 | − | 432.435i | 0.277654 | − | 1.03951i | ||||
\(417\) | −11.1795 | + | 416.774i | −0.0268094 | + | 0.999457i | ||||
\(418\) | 293.880 | + | 452.379i | 0.703063 | + | 1.08225i | ||||
\(419\) | 87.2276 | − | 239.656i | 0.208180 | − | 0.571971i | −0.791027 | − | 0.611782i | \(-0.790453\pi\) |
0.999207 | + | 0.0398104i | \(0.0126754\pi\) | |||||||
\(420\) | 43.1539 | − | 155.414i | 0.102747 | − | 0.370033i | ||||
\(421\) | 106.511 | − | 604.054i | 0.252995 | − | 1.43481i | −0.548172 | − | 0.836366i | \(-0.684676\pi\) |
0.801167 | − | 0.598441i | \(-0.204213\pi\) | |||||||
\(422\) | 179.235 | + | 21.9785i | 0.424728 | + | 0.0520818i | ||||
\(423\) | 606.836 | + | 395.185i | 1.43460 | + | 0.934244i | ||||
\(424\) | 334.511 | + | 412.686i | 0.788941 | + | 0.973315i | ||||
\(425\) | 86.5716 | + | 72.6422i | 0.203698 | + | 0.170923i | ||||
\(426\) | −77.8757 | − | 42.3314i | −0.182807 | − | 0.0993695i | ||||
\(427\) | −25.3818 | + | 4.47550i | −0.0594422 | + | 0.0104813i | ||||
\(428\) | −43.9974 | + | 65.2734i | −0.102798 | + | 0.152508i | ||||
\(429\) | −211.655 | − | 633.914i | −0.493369 | − | 1.47765i | ||||
\(430\) | 3.74416 | − | 12.2535i | 0.00870736 | − | 0.0284966i | ||||
\(431\) | − | 309.004i | − | 0.716947i | −0.933540 | − | 0.358473i | \(-0.883297\pi\) | ||
0.933540 | − | 0.358473i | \(-0.116703\pi\) | |||||||
\(432\) | −421.640 | − | 94.0415i | −0.976018 | − | 0.217689i | ||||
\(433\) | 271.919 | 0.627989 | 0.313994 | − | 0.949425i | \(-0.398333\pi\) | ||||
0.313994 | + | 0.949425i | \(0.398333\pi\) | |||||||
\(434\) | −198.567 | − | 60.6737i | −0.457528 | − | 0.139801i | ||||
\(435\) | −39.1875 | + | 191.986i | −0.0900861 | + | 0.441347i | ||||
\(436\) | −326.929 | − | 220.366i | −0.749838 | − | 0.505427i | ||||
\(437\) | −1.71297 | − | 9.71471i | −0.00391983 | − | 0.0222305i | ||||
\(438\) | −793.590 | + | 20.4003i | −1.81185 | + | 0.0465760i | ||||
\(439\) | 100.848 | − | 120.186i | 0.229723 | − | 0.273773i | −0.638853 | − | 0.769328i | \(-0.720591\pi\) |
0.868576 | + | 0.495555i | \(0.165035\pi\) | |||||||
\(440\) | −365.914 | + | 296.599i | −0.831623 | + | 0.674089i | ||||
\(441\) | −308.073 | + | 93.7580i | −0.698579 | + | 0.212603i | ||||
\(442\) | 33.9515 | − | 276.875i | 0.0768133 | − | 0.626414i | ||||
\(443\) | −254.933 | − | 44.9516i | −0.575470 | − | 0.101471i | −0.121664 | − | 0.992571i | \(-0.538823\pi\) |
−0.453806 | + | 0.891100i | \(0.649934\pi\) | |||||||
\(444\) | 543.873 | − | 534.120i | 1.22494 | − | 1.20297i | ||||
\(445\) | −205.976 | − | 74.9693i | −0.462869 | − | 0.168470i | ||||
\(446\) | −568.439 | + | 369.277i | −1.27453 | + | 0.827975i | ||||
\(447\) | 2.44303 | + | 4.50635i | 0.00546538 | + | 0.0100813i | ||||
\(448\) | −143.436 | − | 183.230i | −0.320169 | − | 0.408996i | ||||
\(449\) | −403.822 | − | 699.440i | −0.899381 | − | 1.55777i | −0.828287 | − | 0.560303i | \(-0.810685\pi\) |
−0.0710933 | − | 0.997470i | \(-0.522649\pi\) | |||||||
\(450\) | −35.2002 | − | 200.942i | −0.0782227 | − | 0.446539i | ||||
\(451\) | −869.112 | − | 501.782i | −1.92708 | − | 1.11260i | ||||
\(452\) | 274.132 | − | 616.235i | 0.606486 | − | 1.36335i | ||||
\(453\) | −209.670 | − | 263.936i | −0.462847 | − | 0.582640i | ||||
\(454\) | 424.636 | + | 216.278i | 0.935323 | + | 0.476384i | ||||
\(455\) | −120.848 | − | 144.021i | −0.265600 | − | 0.316530i | ||||
\(456\) | 218.444 | − | 342.765i | 0.479044 | − | 0.751678i | ||||
\(457\) | 514.385 | − | 187.221i | 1.12557 | − | 0.409673i | 0.288887 | − | 0.957363i | \(-0.406715\pi\) |
0.836681 | + | 0.547690i | \(0.184493\pi\) | |||||||
\(458\) | −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 | −0.179949 | − | 0.983676i | \(-0.557593\pi\) |
0.494446 | + | 0.869208i | \(0.335371\pi\) | |||||||
\(462\) | −329.435 | − | 110.403i | −0.713064 | − | 0.238968i | ||||
\(463\) | 40.7312 | + | 48.5415i | 0.0879723 | + | 0.104841i | 0.808235 | − | 0.588860i | \(-0.200423\pi\) |
−0.720263 | + | 0.693702i | \(0.755979\pi\) | |||||||
\(464\) | 189.286 | + | 209.956i | 0.407944 | + | 0.452491i | ||||
\(465\) | 313.219 | − | 46.6067i | 0.673589 | − | 0.100229i | ||||
\(466\) | 65.6820 | + | 284.295i | 0.140949 | + | 0.610074i | ||||
\(467\) | 162.795 | + | 93.9898i | 0.348598 | + | 0.201263i | 0.664067 | − | 0.747673i | \(-0.268829\pi\) |
−0.315470 | + | 0.948936i | \(0.602162\pi\) | |||||||
\(468\) | −368.598 | + | 343.063i | −0.787603 | + | 0.733042i | ||||
\(469\) | −67.9493 | − | 117.692i | −0.144881 | − | 0.250942i | ||||
\(470\) | −405.802 | − | 435.031i | −0.863409 | − | 0.925599i | ||||
\(471\) | −4.77231 | + | 7.77657i | −0.0101323 | + | 0.0165108i | ||||
\(472\) | −401.335 | − | 348.541i | −0.850286 | − | 0.738434i | ||||
\(473\) | −25.9355 | − | 9.43977i | −0.0548320 | − | 0.0199572i | ||||
\(474\) | −267.153 | + | 335.527i | −0.563614 | + | 0.707864i | ||||
\(475\) | 189.023 | + | 33.3299i | 0.397944 | + | 0.0701682i | ||||
\(476\) | −104.350 | − | 100.706i | −0.219223 | − | 0.211567i | ||||
\(477\) | −72.0770 | − | 593.273i | −0.151105 | − | 1.24376i | ||||
\(478\) | 113.292 | + | 266.781i | 0.237012 | + | 0.558120i | ||||
\(479\) | −198.830 | + | 236.957i | −0.415094 | + | 0.494690i | −0.932561 | − | 0.361013i | \(-0.882431\pi\) |
0.517466 | + | 0.855704i | \(0.326875\pi\) | |||||||
\(480\) | 317.633 | + | 158.305i | 0.661735 | + | 0.329802i | ||||
\(481\) | −154.292 | − | 875.033i | −0.320773 | − | 1.81919i | ||||
\(482\) | 163.764 | − | 8.60852i | 0.339760 | − | 0.0178600i | ||||
\(483\) | 4.75573 | + | 4.21292i | 0.00984623 | + | 0.00872241i | ||||
\(484\) | 312.034 | + | 429.192i | 0.644698 | + | 0.886760i | ||||
\(485\) | 283.728 | 0.585006 | ||||||||
\(486\) | 345.606 | + | 341.691i | 0.711124 | + | 0.703067i | ||||
\(487\) | 396.572i | 0.814316i | 0.913358 | + | 0.407158i | \(0.133480\pi\) | ||||
−0.913358 | + | 0.407158i | \(0.866520\pi\) | |||||||
\(488\) | 0.962785 | − | 56.7011i | 0.00197292 | − | 0.116191i | ||||
\(489\) | −79.1588 | + | 89.3579i | −0.161879 | + | 0.182736i | ||||
\(490\) | 264.184 | − | 13.8872i | 0.539151 | − | 0.0283413i | ||||
\(491\) | 391.258 | − | 68.9894i | 0.796860 | − | 0.140508i | 0.239628 | − | 0.970865i | \(-0.422975\pi\) |
0.557232 | + | 0.830357i | \(0.311863\pi\) | |||||||
\(492\) | −72.7144 | + | 752.635i | −0.147793 | + | 1.52975i | ||||
\(493\) | 134.957 | + | 113.242i | 0.273746 | + | 0.229701i | ||||
\(494\) | −185.185 | − | 436.078i | −0.374869 | − | 0.882748i | ||||
\(495\) | 526.035 | − | 63.9082i | 1.06270 | − | 0.129107i | ||||
\(496\) | 214.222 | − | 403.509i | 0.431899 | − | 0.813527i | ||||
\(497\) | −9.32703 | + | 52.8962i | −0.0187667 | + | 0.106431i | ||||
\(498\) | 90.2154 | − | 113.305i | 0.181155 | − | 0.227520i | ||||
\(499\) | 254.967 | − | 700.517i | 0.510956 | − | 1.40384i | −0.369285 | − | 0.929316i | \(-0.620397\pi\) |
0.880242 | − | 0.474525i | \(-0.157380\pi\) | |||||||
\(500\) | −37.3087 | + | 535.977i | −0.0746173 | + | 1.07195i | ||||
\(501\) | −50.5206 | − | 31.0034i | −0.100840 | − | 0.0618830i | ||||
\(502\) | −65.4586 | − | 70.1734i | −0.130396 | − | 0.139788i | ||||
\(503\) | 36.9239 | − | 21.3180i | 0.0734073 | − | 0.0423817i | −0.462847 | − | 0.886438i | \(-0.653172\pi\) |
0.536254 | + | 0.844056i | \(0.319839\pi\) | |||||||
\(504\) | 27.1553 | + | 260.370i | 0.0538796 | + | 0.516607i | ||||
\(505\) | −154.892 | + | 268.281i | −0.306717 | + | 0.531249i | ||||
\(506\) | −4.17655 | − | 18.0776i | −0.00825404 | − | 0.0357264i | ||||
\(507\) | 11.7652 | + | 79.0675i | 0.0232055 | + | 0.155952i | ||||
\(508\) | 353.760 | + | 724.734i | 0.696379 | + | 1.42664i | ||||
\(509\) | −149.916 | + | 125.794i | −0.294530 | + | 0.247140i | −0.778063 | − | 0.628186i | \(-0.783798\pi\) |
0.483533 | + | 0.875326i | \(0.339353\pi\) | |||||||
\(510\) | 209.714 | + | 70.2810i | 0.411203 | + | 0.137806i | ||||
\(511\) | 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 | ||||
\(516\) | 1.62493 | + | 20.7318i | 0.00314909 | + | 0.0401779i | ||||
\(517\) | −981.694 | + | 823.739i | −1.89883 | + | 1.59331i | ||||
\(518\) | −411.615 | − | 209.646i | −0.794623 | − | 0.404722i | ||||
\(519\) | 324.240 | − | 257.574i | 0.624739 | − | 0.496290i | ||||
\(520\) | 361.709 | − | 200.723i | 0.695595 | − | 0.386006i | ||||
\(521\) | 1.15666 | − | 2.00340i | 0.00222008 | − | 0.00384530i | −0.864913 | − | 0.501921i | \(-0.832627\pi\) |
0.867133 | + | 0.498076i | \(0.165960\pi\) | |||||||
\(522\) | −54.8738 | − | 313.250i | −0.105122 | − | 0.600097i | ||||
\(523\) | 358.549 | − | 207.008i | 0.685562 | − | 0.395810i | −0.116385 | − | 0.993204i | \(-0.537131\pi\) |
0.801947 | + | 0.597395i | \(0.203797\pi\) | |||||||
\(524\) | 93.6581 | + | 888.392i | 0.178737 | + | 1.69540i | ||||
\(525\) | −108.678 | + | 58.9174i | −0.207005 | + | 0.112224i | ||||
\(526\) | −867.205 | + | 563.364i | −1.64868 | + | 1.07104i | ||||
\(527\) | 97.3785 | − | 267.545i | 0.184779 | − | 0.507676i | ||||
\(528\) | 376.450 | − | 665.367i | 0.712974 | − | 1.26017i | ||||
\(529\) | 91.8010 | − | 520.629i | 0.173537 | − | 0.984176i | ||||
\(530\) | −59.7568 | + | 487.318i | −0.112749 | + | 0.919468i | ||||
\(531\) | 174.109 | + | 572.092i | 0.327888 | + | 1.07739i | ||||
\(532\) | −239.005 | − | 59.5103i | −0.449258 | − | 0.111862i | ||||
\(533\) | 675.165 | + | 566.531i | 1.26673 | + | 1.06291i | ||||
\(534\) | 355.640 | − | 9.14218i | 0.665992 | − | 0.0171202i | ||||
\(535\) | −71.6457 | + | 12.6331i | −0.133917 | + | 0.0236132i | ||||
\(536\) | 282.681 | − | 97.4850i | 0.527390 | − | 0.181875i | ||||
\(537\) | −542.273 | − | 110.687i | −1.00982 | − | 0.206120i | ||||
\(538\) | −245.160 | − | 74.9104i | −0.455687 | − | 0.139239i | ||||
\(539\) | − | 569.863i | − | 1.05726i | ||||||
\(540\) | −208.068 | − | 340.756i | −0.385311 | − | 0.631029i | ||||
\(541\) | −148.013 | −0.273591 | −0.136796 | − | 0.990599i | \(-0.543680\pi\) | ||||
−0.136796 | + | 0.990599i | \(0.543680\pi\) | |||||||
\(542\) | −61.3972 | + | 200.935i | −0.113279 | + | 0.370728i | ||||
\(543\) | −262.092 | + | 87.5089i | −0.482674 | + | 0.161158i | ||||
\(544\) | 261.236 | − | 183.228i | 0.480213 | − | 0.336815i | ||||
\(545\) | −63.2742 | − | 358.846i | −0.116099 | − | 0.658433i | ||||
\(546\) | 268.090 | + | 145.727i | 0.491007 | + | 0.266900i | ||||
\(547\) | −110.386 | + | 131.554i | −0.201803 | + | 0.240500i | −0.857449 | − | 0.514569i | \(-0.827952\pi\) |
0.655646 | + | 0.755069i | \(0.272397\pi\) | |||||||
\(548\) | −771.210 | − | 192.025i | −1.40732 | − | 0.350411i | ||||
\(549\) | −34.8150 | + | 53.4611i | −0.0634154 | + | 0.0973790i | ||||
\(550\) | 358.324 | + | 43.9391i | 0.651498 | + | 0.0798892i | ||||
\(551\) | 294.670 | + | 51.9582i | 0.534791 | + | 0.0942980i | ||||
\(552\) | −11.0920 | + | 8.50831i | −0.0200942 | + | 0.0154136i | ||||
\(553\) | 244.226 | + | 88.8909i | 0.441638 | + | 0.160743i | ||||
\(554\) | 452.154 | + | 696.015i | 0.816163 | + | 1.25634i | ||||
\(555\) | 704.258 | + | 18.8910i | 1.26893 | + | 0.0340378i | ||||
\(556\) | 58.2822 | + | 552.834i | 0.104824 | + | 0.994306i | ||||
\(557\) | 157.849 | + | 273.403i | 0.283392 | + | 0.490849i | 0.972218 | − | 0.234078i | \(-0.0752071\pi\) |
−0.688826 | + | 0.724926i | \(0.741874\pi\) | |||||||
\(558\) | −445.385 | + | 256.480i | −0.798181 | + | 0.459642i | ||||
\(559\) | 20.9919 | + | 12.1197i | 0.0375525 | + | 0.0216810i | ||||
\(560\) | 29.7955 | − | 212.985i | 0.0532063 | − | 0.380330i | ||||
\(561\) | 174.897 | − | 443.173i | 0.311759 | − | 0.789970i | ||||
\(562\) | −365.393 | + | 717.405i | −0.650166 | + | 1.27652i | ||||
\(563\) | −699.739 | − | 833.916i | −1.24288 | − | 1.48120i | −0.817231 | − | 0.576311i | \(-0.804492\pi\) |
−0.425645 | − | 0.904890i | \(-0.639953\pi\) | |||||||
\(564\) | 871.366 | + | 415.964i | 1.54498 | + | 0.737525i | ||||
\(565\) | 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 | −0.402960 | − | 0.915218i | \(-0.632019\pi\) |
0.279605 | + | 0.960115i | \(0.409796\pi\) | |||||||
\(570\) | 368.143 | − | 74.7159i | 0.645866 | − | 0.131081i | ||||
\(571\) | 270.128 | + | 321.926i | 0.473078 | + | 0.563793i | 0.948830 | − | 0.315787i | \(-0.102268\pi\) |
−0.475752 | + | 0.879579i | \(0.657824\pi\) | |||||||
\(572\) | −390.880 | − | 800.780i | −0.683357 | − | 1.39996i | ||||
\(573\) | −65.9955 | + | 167.227i | −0.115175 | + | 0.291844i | ||||
\(574\) | 446.443 | − | 103.144i | 0.777776 | − | 0.179693i | ||||
\(575\) | −5.71702 | − | 3.30073i | −0.00994265 | − | 0.00574039i | ||||
\(576\) | −573.792 | − | 50.3884i | −0.996166 | − | 0.0874799i | ||||
\(577\) | 369.741 | + | 640.409i | 0.640798 | + | 1.10990i | 0.985255 | + | 0.171093i | \(0.0547298\pi\) |
−0.344457 | + | 0.938802i | \(0.611937\pi\) | |||||||
\(578\) | −277.244 | + | 258.617i | −0.479661 | + | 0.447433i | ||||
\(579\) | −843.712 | − | 22.6317i | −1.45719 | − | 0.0390876i | ||||
\(580\) | −18.1420 | + | 260.629i | −0.0312793 | + | 0.449360i | ||||
\(581\) | −82.4730 | − | 30.0177i | −0.141950 | − | 0.0516656i | ||||
\(582\) | −428.533 | + | 168.566i | −0.736310 | + | 0.289633i | ||||
\(583\) | 1041.53 | + | 183.649i | 1.78649 | + | 0.315007i | ||||
\(584\) | −1045.36 | + | 166.078i | −1.79000 | + | 0.284380i | ||||
\(585\) | −464.710 | − | 24.9487i | −0.794377 | − | 0.0426474i | ||||
\(586\) | 361.486 | − | 153.509i | 0.616871 | − | 0.261961i | ||||
\(587\) | −480.055 | + | 572.107i | −0.817810 | + | 0.974628i | −0.999963 | − | 0.00864185i | \(-0.997249\pi\) |
0.182152 | + | 0.983270i | \(0.441694\pi\) | |||||||
\(588\) | −390.763 | + | 177.930i | −0.664564 | + | 0.302602i | ||||
\(589\) | −83.9700 | − | 476.218i | −0.142564 | − | 0.808519i | ||||
\(590\) | −25.7886 | − | 490.589i | −0.0437094 | − | 0.831507i | ||||
\(591\) | 86.2274 | − | 28.7902i | 0.145901 | − | 0.0487143i | ||||
\(592\) | 625.240 | − | 801.317i | 1.05615 | − | 1.35358i | ||||
\(593\) | −534.250 | −0.900927 | −0.450463 | − | 0.892795i | \(-0.648741\pi\) | ||||
−0.450463 | + | 0.892795i | \(0.648741\pi\) | |||||||
\(594\) | −756.536 | + | 409.048i | −1.27363 | + | 0.688634i | ||||
\(595\) | − | 134.028i | − | 0.225257i | ||||||
\(596\) | 4.01904 | + | 5.52805i | 0.00674336 | + | 0.00927526i | ||||
\(597\) | 696.116 | + | 142.089i | 1.16602 | + | 0.238004i | ||||
\(598\) | 0.855367 | + | 16.2721i | 0.00143038 | + | 0.0272109i | ||||
\(599\) | −709.697 | + | 125.139i | −1.18480 | + | 0.208913i | −0.731119 | − | 0.682250i | \(-0.761001\pi\) |
−0.453684 | + | 0.891163i | \(0.649890\pi\) | |||||||
\(600\) | −81.7506 | − | 259.427i | −0.136251 | − | 0.432378i | ||||
\(601\) | 191.524 | + | 160.708i | 0.318676 | + | 0.267401i | 0.788067 | − | 0.615590i | \(-0.211082\pi\) |
−0.469391 | + | 0.882990i | \(0.655527\pi\) | |||||||
\(602\) | 11.5990 | − | 4.92564i | 0.0192674 | − | 0.00818213i | ||||
\(603\) | −327.677 | − | 76.0904i | −0.543411 | − | 0.126186i | ||||
\(604\) | −323.400 | − | 312.106i | −0.535430 | − | 0.516731i | ||||
\(605\) | −85.1596 | + | 482.964i | −0.140760 | + | 0.798288i | ||||
\(606\) | 74.5544 | − | 497.225i | 0.123027 | − | 0.820503i | ||||
\(607\) | 131.884 | − | 362.349i | 0.217272 | − | 0.596951i | −0.782394 | − | 0.622784i | \(-0.786002\pi\) |
0.999666 | + | 0.0258331i | \(0.00822386\pi\) | |||||||
\(608\) | 228.645 | − | 491.346i | 0.376061 | − | 0.808135i | ||||
\(609\) | −169.418 | + | 91.8468i | −0.278191 | + | 0.150816i | ||||
\(610\) | 38.3254 | − | 35.7503i | 0.0628285 | − | 0.0586071i | ||||
\(611\) | 974.684 | − | 562.734i | 1.59523 | − | 0.921005i | ||||
\(612\) | −358.499 | + | 18.4435i | −0.585782 | + | 0.0301365i | ||||
\(613\) | −214.313 | + | 371.200i | −0.349613 | + | 0.605547i | −0.986181 | − | 0.165674i | \(-0.947020\pi\) |
0.636568 | + | 0.771221i | \(0.280354\pi\) | |||||||
\(614\) | 383.845 | − | 88.6816i | 0.625155 | − | 0.144433i | ||||
\(615\) | −547.187 | + | 434.683i | −0.889735 | + | 0.706801i | ||||
\(616\) | −454.788 | − | 88.1777i | −0.738292 | − | 0.143146i | ||||
\(617\) | 300.247 | − | 251.937i | 0.486624 | − | 0.408326i | −0.366191 | − | 0.930540i | \(-0.619338\pi\) |
0.852815 | + | 0.522214i | \(0.174894\pi\) | |||||||
\(618\) | 669.511 | + | 757.475i | 1.08335 | + | 1.22569i | ||||
\(619\) | −36.0407 | − | 99.0211i | −0.0582241 | − | 0.159969i | 0.907170 | − | 0.420764i | \(-0.138238\pi\) |
−0.965394 | + | 0.260794i | \(0.916016\pi\) | |||||||
\(620\) | 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 | ||||
\(624\) | −427.061 | + | 518.061i | −0.684392 | + | 0.830227i | ||||
\(625\) | −163.333 | + | 137.053i | −0.261333 | + | 0.219285i | ||||
\(626\) | 296.594 | − | 582.327i | 0.473793 | − | 0.930234i | ||||
\(627\) | −119.095 | − | 800.372i | −0.189944 | − | 1.27651i | ||||
\(628\) | −4.94464 | + | 11.1153i | −0.00787364 | + | 0.0176996i | ||||
\(629\) | 316.713 | − | 548.564i | 0.503519 | − | 0.872120i | ||||
\(630\) | −155.724 | + | 185.164i | −0.247180 | + | 0.293911i | ||||
\(631\) | 528.383 | − | 305.062i | 0.837374 | − | 0.483458i | −0.0189969 | − | 0.999820i | \(-0.506047\pi\) |
0.856371 | + | 0.516362i | \(0.172714\pi\) | |||||||
\(632\) | −294.296 | + | 490.317i | −0.465658 | + | 0.775819i | ||||
\(633\) | −230.861 | − | 141.675i | −0.364710 | − | 0.223815i | ||||
\(634\) | 107.059 | + | 164.800i | 0.168863 | + | 0.259937i | ||||
\(635\) | −254.922 | + | 700.391i | −0.401451 | + | 1.10298i | ||||
\(636\) | −199.267 | − | 771.530i | −0.313313 | − | 1.21310i | ||||
\(637\) | −86.9064 | + | 492.871i | −0.136431 | + | 0.773738i | ||||
\(638\) | 558.594 | + | 68.4969i | 0.875539 | + | 0.107362i | ||||
\(639\) | 79.8794 | + | 106.285i | 0.125007 | + | 0.166331i | ||||
\(640\) | 447.584 | + | 153.561i | 0.699350 | + | 0.239939i | ||||
\(641\) | 229.980 | + | 192.976i | 0.358783 | + | 0.301054i | 0.804305 | − | 0.594216i | \(-0.202538\pi\) |
−0.445523 | + | 0.895271i | \(0.646982\pi\) | |||||||
\(642\) | 100.706 | − | 61.6462i | 0.156862 | − | 0.0960221i | ||||
\(643\) | 231.774 | − | 40.8680i | 0.360457 | − | 0.0635584i | 0.00951324 | − | 0.999955i | \(-0.496972\pi\) |
0.350944 | + | 0.936396i | \(0.385861\pi\) | |||||||
\(644\) | 7.02444 | + | 4.73481i | 0.0109075 | + | 0.00735219i | ||||
\(645\) | −12.7442 | + | 14.3862i | −0.0197585 | + | 0.0223042i | ||||
\(646\) | 98.6963 | − | 323.004i | 0.152781 | − | 0.500006i | ||||
\(647\) | 915.078i | 1.41434i | 0.707044 | + | 0.707170i | \(0.250028\pi\) | ||||
−0.707044 | + | 0.707170i | \(0.749972\pi\) | |||||||
\(648\) | 516.705 | + | 391.049i | 0.797385 | + | 0.603471i | ||||
\(649\) | −1058.24 | −1.63056 | ||||||||
\(650\) | −303.211 | − | 92.6485i | −0.466479 | − | 0.142536i | ||||
\(651\) | 233.127 | + | 206.518i | 0.358106 | + | 0.317233i | ||||
\(652\) | −88.9648 | + | 131.986i | −0.136449 | + | 0.202432i | ||||
\(653\) | −105.737 | − | 599.667i | −0.161926 | − | 0.918326i | −0.952178 | − | 0.305544i | \(-0.901162\pi\) |
0.790252 | − | 0.612782i | \(-0.209950\pi\) | |||||||
\(654\) | 308.762 | + | 504.396i | 0.472113 | + | 0.771247i | ||||
\(655\) | −530.691 | + | 632.453i | −0.810215 | + | 0.965577i | ||||
\(656\) | 35.8232 | + | 1007.55i | 0.0546085 | + | 1.53590i | ||||
\(657\) | 1095.52 | + | 466.672i | 1.66746 | + | 0.710307i | ||||
\(658\) | 71.2147 | − | 580.757i | 0.108229 | − | 0.882610i | ||||
\(659\) | 78.7669 | + | 13.8887i | 0.119525 | + | 0.0210755i | 0.233091 | − | 0.972455i | \(-0.425116\pi\) |
−0.113566 | + | 0.993530i | \(0.536227\pi\) | |||||||
\(660\) | 684.089 | − | 176.683i | 1.03650 | − | 0.267702i | ||||
\(661\) | 80.7044 | + | 29.3740i | 0.122094 | + | 0.0444387i | 0.402345 | − | 0.915488i | \(-0.368195\pi\) |
−0.280250 | + | 0.959927i | \(0.590418\pi\) | |||||||
\(662\) | 594.414 | − | 386.151i | 0.897907 | − | 0.583310i | ||||
\(663\) | −218.853 | + | 356.625i | −0.330095 | + | 0.537896i | ||||
\(664\) | 99.3812 | − | 165.576i | 0.149670 | − | 0.249362i | ||||
\(665\) | −113.817 | − | 197.137i | −0.171154 | − | 0.296447i | ||||
\(666\) | −1074.91 | + | 389.876i | −1.61398 | + | 0.585399i | ||||
\(667\) | −8.91231 | − | 5.14552i | −0.0133618 | − | 0.00771443i | ||||
\(668\) | −72.2109 | − | 32.1230i | −0.108100 | − | 0.0480883i | ||||
\(669\) | 1005.71 | − | 149.649i | 1.50330 | − | 0.223691i | ||||
\(670\) | 246.254 | + | 125.423i | 0.367543 | + | 0.187199i | ||||
\(671\) | −72.5698 | − | 86.4853i | −0.108152 | − | 0.128890i | ||||
\(672\) | 81.5347 | + | 339.386i | 0.121331 | + | 0.505039i | ||||
\(673\) | 721.132 | − | 262.471i | 1.07152 | − | 0.390001i | 0.254774 | − | 0.967001i | \(-0.417999\pi\) |
0.816744 | + | 0.577000i | \(0.195777\pi\) | |||||||
\(674\) | −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 | −0.379282 | − | 0.925281i | \(-0.623829\pi\) |
0.304213 | + | 0.952604i | \(0.401607\pi\) | |||||||
\(678\) | −758.030 | + | 670.001i | −1.11804 | + | 0.988202i | ||||
\(679\) | 179.369 | + | 213.764i | 0.264167 | + | 0.314822i | ||||
\(680\) | 289.511 | + | 56.1326i | 0.425751 | + | 0.0825479i | ||||
\(681\) | −444.625 | − | 559.702i | −0.652900 | − | 0.821883i | ||||
\(682\) | −204.735 | − | 886.166i | −0.300198 | − | 1.29936i | ||||
\(683\) | 41.0521 | + | 23.7014i | 0.0601055 | + | 0.0347019i | 0.529752 | − | 0.848153i | \(-0.322285\pi\) |
−0.469646 | + | 0.882855i | \(0.655618\pi\) | |||||||
\(684\) | −511.641 | + | 331.567i | −0.748013 | + | 0.484747i | ||||
\(685\) | −367.260 | − | 636.113i | −0.536146 | − | 0.928633i | ||||
\(686\) | 420.524 | + | 450.814i | 0.613009 | + | 0.657163i | ||||
\(687\) | 233.663 | + | 431.009i | 0.340121 | + | 0.627378i | ||||
\(688\) | 5.78197 | + | 27.1176i | 0.00840403 | + | 0.0394151i | ||||
\(689\) | −872.801 | − | 317.674i | −1.26676 | − | 0.461065i | ||||
\(690\) | −12.7770 | − | 1.91580i | −0.0185174 | − | 0.00277652i | ||||
\(691\) | −655.348 | − | 115.555i | −0.948405 | − | 0.167229i | −0.322011 | − | 0.946736i | \(-0.604359\pi\) |
−0.626394 | + | 0.779507i | \(0.715470\pi\) | |||||||
\(692\) | 383.415 | − | 397.290i | 0.554068 | − | 0.574118i | ||||
\(693\) | 380.702 | + | 355.919i | 0.549353 | + | 0.513592i | ||||
\(694\) | −211.377 | − | 497.754i | −0.304578 | − | 0.717224i | ||||
\(695\) | −330.242 | + | 393.567i | −0.475168 | + | 0.566283i | ||||
\(696\) | −127.442 | − | 404.423i | −0.183106 | − | 0.581067i | ||||
\(697\) | 109.106 | + | 618.773i | 0.156537 | + | 0.887766i | ||||
\(698\) | 1029.49 | − | 54.1168i | 1.47492 | − | 0.0775312i | ||||
\(699\) | 87.5319 | − | 428.833i | 0.125224 | − | 0.613495i | ||||
\(700\) | −133.318 | + | 96.9255i | −0.190454 | + | 0.138465i | ||||
\(701\) | −536.019 | −0.764649 | −0.382325 | − | 0.924028i | \(-0.624876\pi\) | ||||
−0.382325 | + | 0.924028i | \(0.624876\pi\) | |||||||
\(702\) | 716.704 | − | 238.408i | 1.02095 | − | 0.339613i | ||||
\(703\) | − | 1075.82i | − | 1.53032i | ||||||
\(704\) | 380.941 | − | 945.446i | 0.541109 | − | 1.34296i | ||||
\(705\) | 282.616 | + | 846.443i | 0.400873 | + | 1.20063i | ||||
\(706\) | −431.574 | + | 22.6863i | −0.611295 | + | 0.0321336i | ||||
\(707\) | −300.046 | + | 52.9063i | −0.424394 | + | 0.0748321i | ||||
\(708\) | 330.415 | + | 725.647i | 0.466688 | + | 1.02493i | ||||
\(709\) | 512.391 | + | 429.947i | 0.722695 | + | 0.606413i | 0.928129 | − | 0.372258i | \(-0.121416\pi\) |
−0.205434 | + | 0.978671i | \(0.565861\pi\) | |||||||
\(710\) | −42.6938 | − | 100.536i | −0.0601321 | − | 0.141600i | ||||
\(711\) | 573.592 | − | 291.339i | 0.806740 | − | 0.409759i | ||||
\(712\) | 468.468 | − | 74.4261i | 0.657960 | − | 0.104531i | ||||
\(713\) | −2.88802 | + | 16.3788i | −0.00405052 | + | 0.0229716i | ||||
\(714\) | 79.6278 | + | 202.431i | 0.111524 | + | 0.283517i | ||||
\(715\) | 281.670 | − | 773.883i | 0.393944 | − | 1.08235i | ||||
\(716\) | −736.157 | − | 51.2429i | −1.02815 | − | 0.0715683i | ||||
\(717\) | 11.6578 | − | 434.604i | 0.0162591 | − | 0.606142i | ||||
\(718\) | −347.122 | − | 372.124i | −0.483456 | − | 0.518279i | ||||
\(719\) | −541.911 | + | 312.872i | −0.753701 | + | 0.435149i | −0.827029 | − | 0.562159i | \(-0.809971\pi\) |
0.0733289 | + | 0.997308i | \(0.476638\pi\) | |||||||
\(720\) | −334.749 | − | 413.924i | −0.464929 | − | 0.574894i | ||||
\(721\) | 306.305 | − | 530.537i | 0.424834 | − | 0.735834i | ||||
\(722\) | 33.3986 | + | 144.561i | 0.0462584 | + | 0.200223i | ||||
\(723\) | −228.812 | − | 90.2999i | −0.316475 | − | 0.124896i | ||||
\(724\) | −331.082 | + | 161.609i | −0.457296 | + | 0.223218i | ||||
\(725\) | 153.391 | − | 128.710i | 0.211573 | − | 0.177531i | ||||
\(726\) | −158.313 | − | 780.046i | −0.218062 | − | 1.07444i | ||||
\(727\) | 484.036 | + | 1329.88i | 0.665798 | + | 1.82927i | 0.548465 | + | 0.836174i | \(0.315213\pi\) |
0.117334 | + | 0.993093i | \(0.462565\pi\) | |||||||
\(728\) | 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 | ||||
\(732\) | −36.6456 | + | 76.7656i | −0.0500623 | + | 0.104871i | ||||
\(733\) | −952.728 | + | 799.434i | −1.29977 | + | 1.09063i | −0.309580 | + | 0.950873i | \(0.600188\pi\) |
−0.990186 | + | 0.139759i | \(0.955367\pi\) | |||||||
\(734\) | 1011.27 | + | 515.068i | 1.37776 | + | 0.701728i | ||||
\(735\) | −369.118 | − | 145.672i | −0.502202 | − | 0.198193i | ||||
\(736\) | −13.1695 | + | 13.1903i | −0.0178933 | + | 0.0179216i | ||||
\(737\) | 297.647 | − | 515.540i | 0.403863 | − | 0.699512i | ||||
\(738\) | 568.201 | − | 981.620i | 0.769921 | − | 1.33011i | ||||
\(739\) | −1173.60 | + | 677.576i | −1.58809 | + | 0.916883i | −0.594465 | + | 0.804121i | \(0.702636\pi\) |
−0.993622 | + | 0.112761i | \(0.964030\pi\) | |||||||
\(740\) | 934.171 | − | 98.4844i | 1.26239 | − | 0.133087i | ||||
\(741\) | −19.0557 | + | 710.398i | −0.0257162 | + | 0.958702i | ||||
\(742\) | −404.929 | + | 263.055i | −0.545726 | + | 0.354521i | ||||
\(743\) | 272.586 | − | 748.924i | 0.366872 | − | 1.00797i | −0.609671 | − | 0.792654i | \(-0.708699\pi\) |
0.976544 | − | 0.215319i | \(-0.0690792\pi\) | |||||||
\(744\) | −543.732 | + | 417.079i | −0.730822 | + | 0.560591i | ||||
\(745\) | −1.09687 | + | 6.22064i | −0.00147231 | + | 0.00834986i | ||||
\(746\) | −88.9966 | + | 725.769i | −0.119298 | + | 0.972881i | ||||
\(747\) | −193.697 | + | 98.3827i | −0.259300 | + | 0.131704i | ||||
\(748\) | 153.485 | − | 616.427i | 0.205194 | − | 0.824101i | ||||
\(749\) | −54.8114 | − | 45.9923i | −0.0731795 | − | 0.0614049i | ||||
\(750\) | 384.887 | − | 708.064i | 0.513183 | − | 0.944086i | ||||
\(751\) | −1324.25 | + | 233.502i | −1.76332 | + | 0.310921i | −0.959027 | − | 0.283313i | \(-0.908566\pi\) |
−0.804292 | + | 0.594234i | \(0.797455\pi\) | |||||||
\(752\) | 1224.65 | + | 397.057i | 1.62853 | + | 0.528001i | ||||
\(753\) | 45.5878 | + | 136.537i | 0.0605416 | + | 0.181324i | ||||
\(754\) | −472.678 | − | 144.430i | −0.626894 | − | 0.191552i | ||||
\(755\) | − | 415.377i | − | 0.550168i | ||||||
\(756\) | 125.191 | − | 372.182i | 0.165597 | − | 0.492304i | ||||
\(757\) | 268.495 | 0.354682 | 0.177341 | − | 0.984149i | \(-0.443250\pi\) | ||||
0.177341 | + | 0.984149i | \(0.443250\pi\) | |||||||
\(758\) | 181.380 | − | 593.603i | 0.239288 | − | 0.783118i | ||||
\(759\) | −5.56592 | + | 27.2684i | −0.00733323 | + | 0.0359267i | ||||
\(760\) | 473.500 | − | 163.291i | 0.623026 | − | 0.214856i | ||||
\(761\) | 81.3927 | + | 461.601i | 0.106955 | + | 0.606572i | 0.990421 | + | 0.138077i | \(0.0440923\pi\) |
−0.883466 | + | 0.468494i | \(0.844797\pi\) | |||||||
\(762\) | −31.0866 | − | 1209.30i | −0.0407960 | − | 1.58701i | ||||
\(763\) | 230.357 | − | 274.529i | 0.301910 | − | 0.359802i | ||||
\(764\) | −57.9160 | + | 232.602i | −0.0758063 | + | 0.304453i | ||||
\(765\) | −242.349 | − | 226.573i | −0.316796 | − | 0.296173i | ||||
\(766\) | −450.921 | − | 55.2937i | −0.588670 | − | 0.0721850i | ||||
\(767\) | 915.261 | + | 161.385i | 1.19330 | + | 0.210411i | ||||
\(768\) | −767.248 | + | 33.9822i | −0.999021 | + | 0.0442476i | ||||
\(769\) | 149.651 | + | 54.4686i | 0.194605 | + | 0.0708304i | 0.437484 | − | 0.899226i | \(-0.355870\pi\) |
−0.242879 | + | 0.970057i | \(0.578092\pi\) | |||||||
\(770\) | −233.242 | − | 359.036i | −0.302911 | − | 0.466281i | ||||
\(771\) | −423.751 | − | 781.641i | −0.549613 | − | 1.01380i | ||||
\(772\) | −1119.15 | + | 117.986i | −1.44968 | + | 0.152832i | ||||
\(773\) | −606.372 | − | 1050.27i | −0.784440 | − | 1.35869i | −0.929333 | − | 0.369242i | \(-0.879617\pi\) |
0.144894 | − | 0.989447i | \(-0.453716\pi\) | |||||||
\(774\) | 10.7014 | − | 29.2999i | 0.0138261 | − | 0.0378552i | ||||
\(775\) | −280.250 | − | 161.802i | −0.361613 | − | 0.208777i | ||||
\(776\) | −536.868 | + | 297.924i | −0.691840 | + | 0.383923i | ||||
\(777\) | 430.990 | + | 542.539i | 0.554685 | + | 0.698248i | ||||
\(778\) | 284.603 | − | 558.783i | 0.365813 | − | 0.718230i | ||||
\(779\) | 685.945 | + | 817.478i | 0.880546 | + | 1.04939i | ||||
\(780\) | −618.609 | + | 48.4858i | −0.793088 | + | 0.0621613i | ||||
\(781\) | −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 | ||||
\(786\) | 425.789 | − | 1270.52i | 0.541716 | − | 1.61644i | ||||
\(787\) | 421.238 | + | 502.011i | 0.535245 | + | 0.637880i | 0.964115 | − | 0.265487i | \(-0.0855326\pi\) |
−0.428870 | + | 0.903366i | \(0.641088\pi\) | |||||||
\(788\) | 108.925 | − | 53.1690i | 0.138230 | − | 0.0674734i | ||||
\(789\) | 1534.30 | − | 228.303i | 1.94462 | − | 0.289357i | ||||
\(790\) | −514.950 | + | 118.972i | −0.651836 | + | 0.150597i | ||||
\(791\) | 530.925 | + | 306.530i | 0.671208 | + | 0.387522i | ||||
\(792\) | −928.254 | + | 673.282i | −1.17204 | + | 0.850103i | ||||
\(793\) | 49.5758 | + | 85.8677i | 0.0625167 | + | 0.108282i | ||||
\(794\) | 206.979 | − | 193.073i | 0.260679 | − | 0.243164i | ||||
\(795\) | 385.196 | − | 627.683i | 0.484523 | − | 0.789539i | ||||
\(796\) | 945.005 | + | 65.7806i | 1.18719 | + | 0.0826389i | ||||
\(797\) | 643.625 | + | 234.260i | 0.807559 | + | 0.293928i | 0.712615 | − | 0.701555i | \(-0.247511\pi\) |
0.0949441 | + | 0.995483i | \(0.469733\pi\) | |||||||
\(798\) | 289.027 | + | 230.129i | 0.362190 | + | 0.288382i | ||||
\(799\) | 790.148 | + | 139.324i | 0.988921 | + | 0.174373i | ||||
\(800\) | −153.531 | − | 328.570i | −0.191914 | − | 0.410712i | ||||
\(801\) | −490.948 | − | 209.134i | −0.612919 | − | 0.261092i | ||||
\(802\) | 696.585 | − | 295.813i | 0.868559 | − | 0.368844i | ||||
\(803\) | −1354.50 | + | 1614.24i | −1.68681 | + | 2.01026i | ||||
\(804\) | −446.448 | − | 43.1327i | −0.555284 | − | 0.0536477i | ||||
\(805\) | 1.35952 | + | 7.71020i | 0.00168884 | + | 0.00957789i | ||||
\(806\) | 41.9303 | + | 797.662i | 0.0520227 | + | 0.989655i | ||||
\(807\) | 287.829 | + | 254.977i | 0.356665 | + | 0.315956i | ||||
\(808\) | 11.3814 | − | 670.280i | 0.0140859 | − | 0.829555i | ||||
\(809\) | −614.291 | −0.759321 | −0.379661 | − | 0.925126i | \(-0.623959\pi\) | ||||
−0.379661 | + | 0.925126i | \(0.623959\pi\) | |||||||
\(810\) | 71.5637 | + | 594.595i | 0.0883503 | + | 0.734068i | ||||
\(811\) | 885.453i | 1.09180i | 0.837849 | + | 0.545902i | \(0.183813\pi\) | ||||
−0.837849 | + | 0.545902i | \(0.816187\pi\) | |||||||
\(812\) | −207.830 | + | 151.098i | −0.255948 | + | 0.186081i | ||||
\(813\) | 208.981 | − | 235.907i | 0.257049 | − | 0.290168i | ||||
\(814\) | −106.219 | − | 2020.66i | −0.130490 | − | 2.48238i | ||||
\(815\) | −144.871 | + | 25.5447i | −0.177756 | + | 0.0313431i | ||||
\(816\) | −470.616 | + | 87.2214i | −0.576735 | + | 0.106889i | ||||
\(817\) | 22.4823 | + | 18.8649i | 0.0275181 | + | 0.0230904i | ||||
\(818\) | −601.725 | + | 255.529i | −0.735605 | + | 0.312383i | ||||
\(819\) | −274.987 | − | 365.890i | −0.335760 | − | 0.446753i | ||||
\(820\) | −647.052 | + | 670.466i | −0.789087 | + | 0.817642i | ||||
\(821\) | 3.13868 | − | 17.8003i | 0.00382299 | − | 0.0216813i | −0.982837 | − | 0.184478i | \(-0.940940\pi\) |
0.986660 | + | 0.162797i | \(0.0520516\pi\) | |||||||
\(822\) | 932.620 | + | 742.569i | 1.13457 | + | 0.903369i | ||||
\(823\) | 213.708 | − | 587.157i | 0.259669 | − | 0.713435i | −0.739519 | − | 0.673136i | \(-0.764947\pi\) |
0.999188 | − | 0.0402987i | \(-0.0128310\pi\) | |||||||
\(824\) | 1017.71 | + | 883.838i | 1.23509 | + | 1.07262i | ||||
\(825\) | −461.534 | − | 283.234i | −0.559435 | − | 0.343313i | ||||
\(826\) | 353.313 | − | 329.574i | 0.427739 | − | 0.399000i | ||||
\(827\) | 151.143 | − | 87.2623i | 0.182760 | − | 0.105517i | −0.405829 | − | 0.913949i | \(-0.633017\pi\) |
0.588589 | + | 0.808432i | \(0.299684\pi\) | |||||||
\(828\) | 20.4362 | − | 4.69743i | 0.0246814 | − | 0.00567323i | ||||
\(829\) | −686.871 | + | 1189.70i | −0.828553 | + | 1.43510i | 0.0706196 | + | 0.997503i | \(0.477502\pi\) |
−0.899173 | + | 0.437593i | \(0.855831\pi\) | |||||||
\(830\) | 173.894 | − | 40.1757i | 0.209511 | − | 0.0484044i | ||||
\(831\) | −183.235 | − | 1231.42i | −0.220499 | − | 1.48186i | ||||
\(832\) | −473.657 | + | 759.615i | −0.569300 | + | 0.912999i | ||||
\(833\) | −273.312 | + | 229.336i | −0.328106 | + | 0.275314i | ||||
\(834\) | 264.962 | − | 790.630i | 0.317701 | − | 0.947997i | ||||
\(835\) | −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 | \(-0.130401\pi\) |
−0.958681 | + | 0.284482i | \(0.908178\pi\) | |||||||
\(840\) | −173.371 | + | 272.040i | −0.206394 | + | 0.323857i | ||||
\(841\) | −405.122 | + | 339.938i | −0.481714 | + | 0.404206i | ||||
\(842\) | −556.757 | + | 1093.13i | −0.661232 | + | 1.29825i | ||||
\(843\) | 945.593 | − | 751.175i | 1.12170 | − | 0.891074i | ||||
\(844\) | −329.978 | − | 146.791i | −0.390970 | − | 0.173923i | ||||
\(845\) | −49.2528 | + | 85.3084i | −0.0582874 | + | 0.100957i | ||||
\(846\) | −929.735 | − | 1110.53i | −1.09898 | − | 1.31268i | ||||
\(847\) | −417.708 | + | 241.164i | −0.493161 | + | 0.284727i | ||||
\(848\) | −398.629 | − | 984.847i | −0.470082 | − | 1.16138i | ||||
\(849\) | 686.220 | − | 372.021i | 0.808268 | − | 0.438187i | ||||
\(850\) | −123.131 | − | 189.539i | −0.144860 | − | 0.222987i | ||||
\(851\) | −12.6551 | + | 34.7696i | −0.0148709 | + | 0.0408574i | ||||
\(852\) | 124.213 | + | 126.481i | 0.145790 | + | 0.148452i | ||||
\(853\) | 21.3543 | − | 121.106i | 0.0250344 | − | 0.141977i | −0.969729 | − | 0.244185i | \(-0.921480\pi\) |
0.994763 | + | 0.102208i | \(0.0325907\pi\) | |||||||
\(854\) | 51.1636 | + | 6.27387i | 0.0599105 | + | 0.00734646i | ||||
\(855\) | −548.869 | − | 127.454i | −0.641953 | − | 0.149069i | ||||
\(856\) | 122.302 | − | 99.1348i | 0.142877 | − | 0.115812i | ||||
\(857\) | −285.391 | − | 239.471i | −0.333011 | − | 0.279429i | 0.460914 | − | 0.887445i | \(-0.347522\pi\) |
−0.793925 | + | 0.608015i | \(0.791966\pi\) | |||||||
\(858\) | 34.3485 | + | 1336.19i | 0.0400332 | + | 1.55733i | ||||
\(859\) | 1006.24 | − | 177.428i | 1.17141 | − | 0.206551i | 0.446107 | − | 0.894980i | \(-0.352810\pi\) |
0.725304 | + | 0.688428i | \(0.241699\pi\) | |||||||
\(860\) | −14.3229 | + | 21.2491i | −0.0166546 | + | 0.0247083i | ||||
\(861\) | −673.420 | − | 137.456i | −0.782137 | − | 0.159647i | ||||
\(862\) | −180.595 | + | 591.033i | −0.209506 | + | 0.685653i | ||||
\(863\) | 755.082i | 0.874950i | 0.899231 | + | 0.437475i | \(0.144127\pi\) | ||||
−0.899231 | + | 0.437475i | \(0.855873\pi\) | |||||||
\(864\) | 751.510 | + | 426.297i | 0.869803 | + | 0.493399i | ||||
\(865\) | 510.281 | 0.589921 | ||||||||
\(866\) | −520.100 | − | 158.921i | −0.600578 | − | 0.183511i | ||||
\(867\) | 539.436 | − | 180.110i | 0.622187 | − | 0.207740i | ||||
\(868\) | 344.340 | + | 232.102i | 0.396705 | + | 0.267398i | ||||
\(869\) | 197.694 | + | 1121.18i | 0.227495 | + | 1.29019i | ||||
\(870\) | 187.158 | − | 344.309i | 0.215125 | − | 0.395758i | ||||
\(871\) | −336.055 | + | 400.495i | −0.385827 | + | 0.459810i | ||||
\(872\) | 496.528 | + | 612.565i | 0.569412 | + | 0.702483i | ||||
\(873\) | 689.748 | + | 37.0302i | 0.790089 | + | 0.0424172i | ||||
\(874\) | −2.40128 | + | 19.5825i | −0.00274746 | + | 0.0224056i | ||||
\(875\) | −480.945 | − | 84.8036i | −0.549651 | − | 0.0969183i | ||||
\(876\) | 1529.82 | + | 424.787i | 1.74638 | + | 0.484917i | ||||
\(877\) | 512.795 | + | 186.642i | 0.584715 | + | 0.212819i | 0.617403 | − | 0.786647i | \(-0.288185\pi\) |
−0.0326883 | + | 0.999466i | \(0.510407\pi\) | |||||||
\(878\) | −263.135 | + | 170.941i | −0.299698 | + | 0.194694i | ||||
\(879\) | −588.884 | − | 15.7962i | −0.669948 | − | 0.0179707i | ||||
\(880\) | 873.230 | − | 353.451i | 0.992306 | − | 0.401649i | ||||
\(881\) | 456.814 | + | 791.224i | 0.518517 | + | 0.898098i | 0.999769 | + | 0.0215153i | \(0.00684906\pi\) |
−0.481251 | + | 0.876583i | \(0.659818\pi\) | |||||||
\(882\) | 644.048 | + | 0.719348i | 0.730214 | + | 0.000815587i | ||||
\(883\) | 1044.63 | + | 603.119i | 1.18305 | + | 0.683034i | 0.956718 | − | 0.291016i | \(-0.0939934\pi\) |
0.226332 | + | 0.974050i | \(0.427327\pi\) | |||||||
\(884\) | −226.756 | + | 509.737i | −0.256511 | + | 0.576625i | ||||
\(885\) | −270.512 | + | 685.452i | −0.305663 | + | 0.774522i | ||||
\(886\) | 461.340 | + | 234.973i | 0.520700 | + | 0.265206i | ||||
\(887\) | −351.731 | − | 419.177i | −0.396540 | − | 0.472578i | 0.530422 | − | 0.847734i | \(-0.322034\pi\) |
−0.926962 | + | 0.375156i | \(0.877589\pi\) | |||||||
\(888\) | −1352.43 | + | 703.750i | −1.52300 | + | 0.792511i | ||||
\(889\) | −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 | ||||
\(894\) | −2.03909 | − | 10.0471i | −0.00228086 | − | 0.0112384i | ||||
\(895\) | −438.386 | − | 522.448i | −0.489817 | − | 0.583741i | ||||
\(896\) | 167.262 | + | 434.295i | 0.186677 | + | 0.484704i | ||||
\(897\) | 8.97246 | − | 22.7354i | 0.0100027 | − | 0.0253460i | ||||
\(898\) | 363.610 | + | 1573.83i | 0.404911 | + | 1.75260i | ||||
\(899\) | −436.883 | − | 252.235i | −0.485966 | − | 0.280573i | ||||
\(900\) | −50.1114 | + | 404.915i | −0.0556793 | + | 0.449906i | ||||
\(901\) | −331.072 | − | 573.434i | −0.367450 | − | 0.636442i | ||||
\(902\) | 1369.09 | + | 1467.70i | 1.51784 | + | 1.62717i | ||||
\(903\) | −18.8955 | − | 0.506852i | −0.0209252 | − | 0.000561298i | ||||
\(904\) | −884.485 | + | 1018.46i | −0.978413 | + | 1.12662i | ||||
\(905\) | −319.962 | − | 116.457i | −0.353549 | − | 0.128681i | ||||
\(906\) | 246.781 | + | 627.370i | 0.272385 | + | 0.692462i | ||||
\(907\) | −645.561 | − | 113.830i | −0.711754 | − | 0.125501i | −0.193963 | − | 0.981009i | \(-0.562134\pi\) |
−0.517791 | + | 0.855507i | \(0.673245\pi\) | |||||||
\(908\) | −685.801 | − | 661.851i | −0.755288 | − | 0.728911i | ||||
\(909\) | −411.559 | + | 631.979i | −0.452760 | + | 0.695247i | ||||
\(910\) | 146.975 | + | 346.098i | 0.161511 | + | 0.380328i | ||||
\(911\) | 469.932 | − | 560.043i | 0.515842 | − | 0.614757i | −0.443750 | − | 0.896150i | \(-0.646352\pi\) |
0.959592 | + | 0.281394i | \(0.0907967\pi\) | |||||||
\(912\) | −618.144 | + | 527.940i | −0.677790 | + | 0.578882i | ||||
\(913\) | −66.7595 | − | 378.612i | −0.0731210 | − | 0.414690i | ||||
\(914\) | −1093.28 | + | 57.4701i | −1.19615 | + | 0.0628776i | ||||
\(915\) | −74.5699 | + | 24.8979i | −0.0814972 | + | 0.0272108i | ||||
\(916\) | 384.400 | + | 528.730i | 0.419651 | + | 0.577216i | ||||
\(917\) | −811.993 | −0.885489 | ||||||||
\(918\) | 500.645 | + | 198.225i | 0.545365 | + | 0.215931i | ||||
\(919\) | − | 444.934i | − | 0.484150i | −0.970257 | − | 0.242075i | \(-0.922172\pi\) | ||
0.970257 | − | 0.242075i | \(-0.0778281\pi\) | |||||||
\(920\) | −17.2240 | − | 0.292464i | −0.0187217 | − | 0.000317895i | ||||
\(921\) | −578.996 | − | 118.182i | −0.628660 | − | 0.128320i | ||||
\(922\) | −308.150 | + | 16.1984i | −0.334219 | + | 0.0175687i | ||||
\(923\) | 203.494 | − | 35.8815i | 0.220471 | − | 0.0388749i | ||||
\(924\) | 565.588 | + | 403.704i | 0.612108 | + | 0.436909i | ||||
\(925\) | −551.510 | − | 462.772i | −0.596227 | − | 0.500294i | ||||
\(926\) | −49.5370 | − | 116.650i | −0.0534957 | − | 0.125972i | ||||
\(927\) | −441.509 | − | 1450.72i | −0.476277 | − | 1.56497i | ||||
\(928\) | −239.341 | − | 512.210i | −0.257911 | − | 0.551950i | ||||
\(929\) | 15.5752 | − | 88.3315i | 0.0167656 | − | 0.0950823i | −0.975277 | − | 0.220987i | \(-0.929072\pi\) |
0.992042 | + | 0.125905i | \(0.0401833\pi\) | |||||||
\(930\) | −626.333 | − | 93.9130i | −0.673476 | − | 0.100982i | ||||
\(931\) | −207.252 | + | 569.421i | −0.222613 | + | 0.611623i | ||||
\(932\) | 40.5233 | − | 582.158i | 0.0434799 | − | 0.624633i | ||||
\(933\) | −73.3840 | + | 39.7837i | −0.0786539 | + | 0.0426406i | ||||
\(934\) | −256.447 | − | 274.918i | −0.274569 | − | 0.294345i | ||||
\(935\) | 508.444 | − | 293.551i | 0.543791 | − | 0.313958i | ||||
\(936\) | 905.519 | − | 440.754i | 0.967435 | − | 0.470891i | ||||
\(937\) | 231.032 | − | 400.160i | 0.246566 | − | 0.427065i | −0.716005 | − | 0.698095i | \(-0.754031\pi\) |
0.962571 | + | 0.271031i | \(0.0873644\pi\) | |||||||
\(938\) | 61.1830 | + | 264.821i | 0.0652271 | + | 0.282326i | ||||
\(939\) | −767.550 | + | 609.738i | −0.817412 | + | 0.649348i | ||||
\(940\) | 521.928 | + | 1069.25i | 0.555243 | + | 1.13750i | ||||
\(941\) | −187.687 | + | 157.488i | −0.199455 | + | 0.167362i | −0.737045 | − | 0.675844i | \(-0.763779\pi\) |
0.537590 | + | 0.843206i | \(0.319335\pi\) | |||||||
\(942\) | 13.6729 | − | 12.0851i | 0.0145148 | − | 0.0128292i | ||||
\(943\) | −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 | \(-0.204008\pi\) |
−0.998363 | + | 0.0571920i | \(0.981785\pi\) | |||||||
\(948\) | 707.080 | − | 485.629i | 0.745865 | − | 0.512266i | ||||
\(949\) | 1417.68 | − | 1189.57i | 1.49387 | − | 1.25350i | ||||
\(950\) | −342.066 | − | 174.223i | −0.360069 | − | 0.183393i | ||||
\(951\) | −43.3857 | − | 291.572i | −0.0456211 | − | 0.306595i | ||||
\(952\) | 140.734 | + | 253.607i | 0.147830 | + | 0.266394i | ||||
\(953\) | −186.813 | + | 323.570i | −0.196026 | + | 0.339528i | −0.947237 | − | 0.320535i | \(-0.896137\pi\) |
0.751210 | + | 0.660063i | \(0.229471\pi\) | |||||||
\(954\) | −208.871 | + | 1176.88i | −0.218943 | + | 1.23363i | ||||
\(955\) | −191.856 | + | 110.768i | −0.200896 | + | 0.115988i | ||||
\(956\) | −60.7756 | − | 576.486i | −0.0635728 | − | 0.603019i | ||||
\(957\) | −719.489 | − | 441.535i | −0.751817 | − | 0.461374i | ||||
\(958\) | 518.790 | − | 337.023i | 0.541535 | − | 0.351799i | ||||
\(959\) | 247.078 | − | 678.841i | 0.257641 | − | 0.707863i | ||||
\(960\) | −515.017 | − | 488.427i | −0.536476 | − | 0.508778i | ||||
\(961\) | 25.3046 | − | 143.509i | 0.0263315 | − | 0.149333i | ||||
\(962\) | −216.290 | + | 1763.85i | −0.224834 | + | 1.83353i | ||||
\(963\) | −175.821 | + | 21.3605i | −0.182576 | + | 0.0221812i | ||||
\(964\) | −318.263 | − | 79.2450i | −0.330149 | − | 0.0822043i | ||||
\(965\) | −796.733 | − | 668.538i | −0.825630 | − | 0.692786i | ||||
\(966\) | −6.63409 | − | 10.8375i | −0.00686759 | − | 0.0112190i | ||||
\(967\) | 297.669 | − | 52.4871i | 0.307827 | − | 0.0542782i | −0.0176007 | − | 0.999845i | \(-0.505603\pi\) |
0.325428 | + | 0.945567i | \(0.394492\pi\) | |||||||
\(968\) | −345.991 | − | 1003.28i | −0.357428 | − | 1.03645i | ||||
\(969\) | −335.938 | + | 379.221i | −0.346685 | + | 0.391353i | ||||
\(970\) | −542.687 | − | 165.822i | −0.559471 | − | 0.170951i | ||||
\(971\) | − | 259.199i | − | 0.266940i | −0.991053 | − | 0.133470i | \(-0.957388\pi\) | ||
0.991053 | − | 0.133470i | \(-0.0426120\pi\) | |||||||
\(972\) | −461.344 | − | 855.538i | −0.474633 | − | 0.880184i | ||||
\(973\) | −505.292 | −0.519314 | ||||||||
\(974\) | 231.773 | − | 758.524i | 0.237960 | − | 0.778772i | ||||
\(975\) | 355.984 | + | 315.353i | 0.365111 | + | 0.323439i | ||||
\(976\) | −34.9799 | + | 107.890i | −0.0358401 | + | 0.110543i | ||||
\(977\) | −126.045 | − | 714.836i | −0.129012 | − | 0.731664i | −0.978844 | − | 0.204610i | \(-0.934407\pi\) |
0.849831 | − | 0.527055i | \(-0.176704\pi\) | |||||||
\(978\) | 203.632 | − | 124.651i | 0.208212 | − | 0.127455i | ||||
\(979\) | 607.008 | − | 723.404i | 0.620029 | − | 0.738921i | ||||
\(980\) | −513.421 | − | 127.838i | −0.523899 | − | 0.130447i | ||||
\(981\) | −106.987 | − | 880.619i | −0.109059 | − | 0.897674i | ||||
\(982\) | −788.681 | − | 96.7111i | −0.803137 | − | 0.0984838i | ||||
\(983\) | −204.339 | − | 36.0305i | −0.207873 | − | 0.0366536i | 0.0687418 | − | 0.997634i | \(-0.478102\pi\) |
−0.276615 | + | 0.960981i | \(0.589213\pi\) | |||||||
\(984\) | 578.951 | − | 1397.07i | 0.588365 | − | 1.41979i | ||||
\(985\) | 105.266 | + | 38.3139i | 0.106870 | + | 0.0388973i | ||||
\(986\) | −191.949 | − | 295.473i | −0.194675 | − | 0.299669i | ||||
\(987\) | −459.054 | + | 748.037i | −0.465100 | + | 0.757889i | ||||
\(988\) | 99.3431 | + | 942.316i | 0.100550 | + | 0.953762i | ||||
\(989\) | −0.504699 | − | 0.874164i | −0.000510312 | − | 0.000883887i | ||||
\(990\) | −1043.50 | − | 185.199i | −1.05404 | − | 0.187070i | ||||
\(991\) | 159.830 | + | 92.2782i | 0.161282 | + | 0.0931162i | 0.578469 | − | 0.815705i | \(-0.303651\pi\) |
−0.417187 | + | 0.908821i | \(0.636984\pi\) | |||||||
\(992\) | −645.570 | + | 646.593i | −0.650776 | + | 0.651807i | ||||
\(993\) | −1051.67 | + | 156.487i | −1.05908 | + | 0.157590i | ||||
\(994\) | 48.7545 | − | 95.7236i | 0.0490488 | − | 0.0963014i | ||||
\(995\) | 562.757 | + | 670.667i | 0.565585 | + | 0.674038i | ||||
\(996\) | −238.775 | + | 163.993i | −0.239734 | + | 0.164651i | ||||
\(997\) | −540.967 | + | 196.896i | −0.542595 | + | 0.197488i | −0.598753 | − | 0.800934i | \(-0.704337\pi\) |
0.0561586 | + | 0.998422i | \(0.482115\pi\) | |||||||
\(998\) | −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.7.3 | ✓ | 204 | |
3.2 | odd | 2 | 324.3.j.a.19.32 | 204 | |||
4.3 | odd | 2 | inner | 108.3.j.a.7.11 | yes | 204 | |
12.11 | even | 2 | 324.3.j.a.19.24 | 204 | |||
27.4 | even | 9 | inner | 108.3.j.a.31.11 | yes | 204 | |
27.23 | odd | 18 | 324.3.j.a.307.24 | 204 | |||
108.23 | even | 18 | 324.3.j.a.307.32 | 204 | |||
108.31 | odd | 18 | inner | 108.3.j.a.31.3 | yes | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.3 | ✓ | 204 | 1.1 | even | 1 | trivial | |
108.3.j.a.7.11 | yes | 204 | 4.3 | odd | 2 | inner | |
108.3.j.a.31.3 | yes | 204 | 108.31 | odd | 18 | inner | |
108.3.j.a.31.11 | yes | 204 | 27.4 | even | 9 | inner | |
324.3.j.a.19.24 | 204 | 12.11 | even | 2 | |||
324.3.j.a.19.32 | 204 | 3.2 | odd | 2 | |||
324.3.j.a.307.24 | 204 | 27.23 | odd | 18 | |||
324.3.j.a.307.32 | 204 | 108.23 | even | 18 |