Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [891,2,Mod(82,891)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(891, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("891.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 891 = 3^{4} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 891.f (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.11467082010\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{5})\) |
Twist minimal: | no (minimal twist has level 99) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 82.5 | ||
Character | \(\chi\) | \(=\) | 891.82 |
Dual form | 891.2.f.f.163.5 |
$q$-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 \(\left(\mathbb{Z}/891\mathbb{Z}\right)^\times\).
\(n\) | \(244\) | \(650\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0881157 | + | 0.271192i | 0.0623072 | + | 0.191762i | 0.977365 | − | 0.211562i | \(-0.0678549\pi\) |
−0.915057 | + | 0.403324i | \(0.867855\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.55225 | − | 1.12778i | 0.776127 | − | 0.563889i | ||||
\(5\) | 0.837045 | − | 2.57616i | 0.374338 | − | 1.15209i | −0.569587 | − | 0.821931i | \(-0.692897\pi\) |
0.943924 | − | 0.330162i | \(-0.107103\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.29540 | − | 2.39425i | 1.24554 | − | 0.904940i | 0.247588 | − | 0.968865i | \(-0.420362\pi\) |
0.997955 | + | 0.0639253i | \(0.0203619\pi\) | |||||||
\(8\) | 0.904002 | + | 0.656796i | 0.319613 | + | 0.232212i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.772391 | 0.244251 | ||||||||
\(11\) | 1.82892 | + | 2.76678i | 0.551439 | + | 0.834215i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.19001 | + | 3.66248i | 0.330050 | + | 1.01579i | 0.969109 | + | 0.246631i | \(0.0793236\pi\) |
−0.639060 | + | 0.769157i | \(0.720676\pi\) | |||||||
\(14\) | 0.939677 | + | 0.682715i | 0.251139 | + | 0.182463i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.08735 | − | 3.34653i | 0.271839 | − | 0.836633i | ||||
\(17\) | −1.33502 | + | 4.10876i | −0.323789 | + | 0.996520i | 0.648195 | + | 0.761474i | \(0.275524\pi\) |
−0.971984 | + | 0.235046i | \(0.924476\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.31246 | + | 0.953561i | 0.301100 | + | 0.218762i | 0.728068 | − | 0.685505i | \(-0.240418\pi\) |
−0.426968 | + | 0.904267i | \(0.640418\pi\) | |||||||
\(20\) | −1.60603 | − | 4.94285i | −0.359119 | − | 1.10526i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.589172 | + | 0.739785i | −0.125612 | + | 0.157723i | ||||
\(23\) | −1.86423 | −0.388720 | −0.194360 | − | 0.980930i | \(-0.562263\pi\) | ||||
−0.194360 | + | 0.980930i | \(0.562263\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.89087 | − | 1.37379i | −0.378173 | − | 0.274759i | ||||
\(26\) | −0.888377 | + | 0.645443i | −0.174225 | + | 0.126582i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.41511 | − | 7.43295i | 0.456413 | − | 1.40470i | ||||
\(29\) | −2.87472 | + | 2.08860i | −0.533821 | + | 0.387844i | −0.821785 | − | 0.569797i | \(-0.807022\pi\) |
0.287964 | + | 0.957641i | \(0.407022\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.50324 | − | 4.62650i | −0.269990 | − | 0.830944i | −0.990502 | − | 0.137501i | \(-0.956093\pi\) |
0.720512 | − | 0.693443i | \(-0.243907\pi\) | |||||||
\(32\) | 3.23818 | 0.572435 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.23190 | −0.211269 | ||||||||
\(35\) | −3.40956 | − | 10.4936i | −0.576321 | − | 1.77374i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.26542 | + | 4.55210i | −1.03003 | + | 0.748360i | −0.968314 | − | 0.249734i | \(-0.919657\pi\) |
−0.0617145 | + | 0.998094i | \(0.519657\pi\) | |||||||
\(38\) | −0.142950 | + | 0.439954i | −0.0231895 | + | 0.0713699i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.44870 | − | 1.77909i | 0.387174 | − | 0.281298i | ||||
\(41\) | −5.55968 | − | 4.03935i | −0.868276 | − | 0.630840i | 0.0618474 | − | 0.998086i | \(-0.480301\pi\) |
−0.930124 | + | 0.367246i | \(0.880301\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.984991 | 0.150210 | 0.0751049 | − | 0.997176i | \(-0.476071\pi\) | ||||
0.0751049 | + | 0.997176i | \(0.476071\pi\) | |||||||
\(44\) | 5.95925 | + | 2.23213i | 0.898391 | + | 0.336506i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.164268 | − | 0.505566i | −0.0242200 | − | 0.0745416i | ||||
\(47\) | −4.74598 | − | 3.44815i | −0.692272 | − | 0.502965i | 0.185134 | − | 0.982713i | \(-0.440728\pi\) |
−0.877406 | + | 0.479748i | \(0.840728\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.96411 | − | 9.12259i | 0.423444 | − | 1.30323i | ||||
\(50\) | 0.205947 | − | 0.633841i | 0.0291254 | − | 0.0896386i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 5.97766 | + | 4.34302i | 0.828952 | + | 0.602269i | ||||
\(53\) | −0.485721 | − | 1.49489i | −0.0667189 | − | 0.205340i | 0.912139 | − | 0.409881i | \(-0.134430\pi\) |
−0.978858 | + | 0.204541i | \(0.934430\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 8.65855 | − | 2.39567i | 1.16752 | − | 0.323032i | ||||
\(56\) | 4.55158 | 0.608230 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.819721 | − | 0.595562i | −0.107635 | − | 0.0782011i | ||||
\(59\) | −9.19245 | + | 6.67871i | −1.19676 | + | 0.869494i | −0.993962 | − | 0.109728i | \(-0.965002\pi\) |
−0.202794 | + | 0.979222i | \(0.565002\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.65986 | + | 8.18620i | −0.340560 | + | 1.04814i | 0.623358 | + | 0.781936i | \(0.285768\pi\) |
−0.963918 | + | 0.266199i | \(0.914232\pi\) | |||||||
\(62\) | 1.12221 | − | 0.815335i | 0.142521 | − | 0.103548i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.88937 | − | 5.81490i | −0.236172 | − | 0.726862i | ||||
\(65\) | 10.4312 | 1.29383 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.74056 | −0.212644 | −0.106322 | − | 0.994332i | \(-0.533907\pi\) | ||||
−0.106322 | + | 0.994332i | \(0.533907\pi\) | |||||||
\(68\) | 2.56148 | + | 7.88344i | 0.310626 | + | 0.956007i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.54534 | − | 1.84929i | 0.304226 | − | 0.221033i | ||||
\(71\) | −1.77418 | + | 5.46036i | −0.210556 | + | 0.648026i | 0.788883 | + | 0.614543i | \(0.210660\pi\) |
−0.999439 | + | 0.0334822i | \(0.989340\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.27379 | − | 2.37855i | 0.383168 | − | 0.278388i | −0.379482 | − | 0.925199i | \(-0.623898\pi\) |
0.762650 | + | 0.646811i | \(0.223898\pi\) | |||||||
\(74\) | −1.78657 | − | 1.29802i | −0.207685 | − | 0.150892i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.11268 | 0.357049 | ||||||||
\(77\) | 12.6514 | + | 4.73875i | 1.44176 | + | 0.540031i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.32264 | − | 4.07066i | −0.148808 | − | 0.457985i | 0.848673 | − | 0.528918i | \(-0.177402\pi\) |
−0.997481 | + | 0.0709332i | \(0.977402\pi\) | |||||||
\(80\) | −7.71104 | − | 5.60240i | −0.862120 | − | 0.626367i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.605544 | − | 1.86367i | 0.0668711 | − | 0.205808i | ||||
\(83\) | −2.00867 | + | 6.18204i | −0.220480 | + | 0.678567i | 0.778239 | + | 0.627968i | \(0.216113\pi\) |
−0.998719 | + | 0.0505994i | \(0.983887\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 9.46735 | + | 6.87843i | 1.02688 | + | 0.746071i | ||||
\(86\) | 0.0867932 | + | 0.267122i | 0.00935915 | + | 0.0288045i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.163863 | + | 3.70240i | −0.0174679 | + | 0.394677i | ||||
\(89\) | 9.26243 | 0.981816 | 0.490908 | − | 0.871211i | \(-0.336665\pi\) | ||||
0.490908 | + | 0.871211i | \(0.336665\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 12.6904 | + | 9.22014i | 1.33032 | + | 0.966533i | ||||
\(92\) | −2.89376 | + | 2.10244i | −0.301696 | + | 0.219195i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.516917 | − | 1.59091i | 0.0533160 | − | 0.164090i | ||||
\(95\) | 3.55511 | − | 2.58294i | 0.364747 | − | 0.265004i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.29064 | − | 7.04988i | −0.232580 | − | 0.715807i | −0.997433 | − | 0.0716026i | \(-0.977189\pi\) |
0.764854 | − | 0.644204i | \(-0.222811\pi\) | |||||||
\(98\) | 2.73516 | 0.276293 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.48444 | −0.448444 | ||||||||
\(101\) | −4.23897 | − | 13.0462i | −0.421794 | − | 1.29815i | −0.906031 | − | 0.423211i | \(-0.860903\pi\) |
0.484238 | − | 0.874936i | \(-0.339097\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.10596 | + | 2.98316i | −0.404572 | + | 0.293939i | −0.771401 | − | 0.636350i | \(-0.780444\pi\) |
0.366828 | + | 0.930289i | \(0.380444\pi\) | |||||||
\(104\) | −1.32973 | + | 4.09248i | −0.130391 | + | 0.401301i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.362604 | − | 0.263447i | 0.0352192 | − | 0.0255883i | ||||
\(107\) | 2.24824 | + | 1.63344i | 0.217346 | + | 0.157911i | 0.691131 | − | 0.722730i | \(-0.257113\pi\) |
−0.473785 | + | 0.880640i | \(0.657113\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −17.3573 | −1.66253 | −0.831263 | − | 0.555879i | \(-0.812382\pi\) | ||||
−0.831263 | + | 0.555879i | \(0.812382\pi\) | |||||||
\(110\) | 1.41264 | + | 2.13703i | 0.134690 | + | 0.203758i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.42916 | − | 13.6316i | −0.418516 | − | 1.28806i | ||||
\(113\) | −0.763432 | − | 0.554666i | −0.0718177 | − | 0.0521786i | 0.551297 | − | 0.834309i | \(-0.314133\pi\) |
−0.623115 | + | 0.782130i | \(0.714133\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.56045 | + | 4.80257i | −0.145513 | + | 0.447842i | ||||
\(116\) | −2.10681 | + | 6.48408i | −0.195612 | + | 0.602032i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.62121 | − | 1.90442i | −0.241302 | − | 0.175316i | ||||
\(119\) | 5.43797 | + | 16.7364i | 0.498498 | + | 1.53422i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.31012 | + | 10.1204i | −0.391829 | + | 0.920038i | ||||
\(122\) | −2.45441 | −0.222212 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −7.55108 | − | 5.48618i | −0.678107 | − | 0.492673i | ||||
\(125\) | 5.83521 | − | 4.23953i | 0.521917 | − | 0.379195i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.757216 | − | 2.33047i | 0.0671920 | − | 0.206796i | −0.911823 | − | 0.410583i | \(-0.865325\pi\) |
0.979015 | + | 0.203787i | \(0.0653251\pi\) | |||||||
\(128\) | 6.64996 | − | 4.83148i | 0.587779 | − | 0.427047i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.919154 | + | 2.82886i | 0.0806151 | + | 0.248108i | ||||
\(131\) | 3.99737 | 0.349252 | 0.174626 | − | 0.984635i | \(-0.444128\pi\) | ||||
0.174626 | + | 0.984635i | \(0.444128\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 6.60815 | 0.572999 | ||||||||
\(134\) | −0.153371 | − | 0.472027i | −0.0132492 | − | 0.0407769i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.90547 | + | 2.83749i | −0.334892 | + | 0.243313i | ||||
\(137\) | 0.336599 | − | 1.03594i | 0.0287576 | − | 0.0885067i | −0.935648 | − | 0.352936i | \(-0.885183\pi\) |
0.964405 | + | 0.264429i | \(0.0851835\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.33395 | + | 1.69572i | −0.197963 | + | 0.143829i | −0.682351 | − | 0.731025i | \(-0.739042\pi\) |
0.484388 | + | 0.874853i | \(0.339042\pi\) | |||||||
\(140\) | −17.1269 | − | 12.4434i | −1.44749 | − | 1.05166i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.63714 | −0.137386 | ||||||||
\(143\) | −7.95683 | + | 9.99087i | −0.665383 | + | 0.835478i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.97431 | + | 9.15398i | 0.247003 | + | 0.760197i | ||||
\(146\) | 0.933515 | + | 0.678238i | 0.0772583 | + | 0.0561314i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.59177 | + | 14.1320i | −0.377441 | + | 1.16164i | ||||
\(149\) | 6.23436 | − | 19.1874i | 0.510739 | − | 1.57189i | −0.280165 | − | 0.959952i | \(-0.590389\pi\) |
0.790904 | − | 0.611940i | \(-0.209611\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.96258 | + | 6.51169i | 0.729364 | + | 0.529914i | 0.889362 | − | 0.457203i | \(-0.151149\pi\) |
−0.159998 | + | 0.987117i | \(0.551149\pi\) | |||||||
\(152\) | 0.560175 | + | 1.72404i | 0.0454362 | + | 0.139838i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.170330 | + | 3.84851i | −0.0137255 | + | 0.310122i | ||||
\(155\) | −13.1769 | −1.05839 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.269228 | − | 0.195606i | −0.0214867 | − | 0.0156110i | 0.576990 | − | 0.816751i | \(-0.304227\pi\) |
−0.598477 | + | 0.801140i | \(0.704227\pi\) | |||||||
\(158\) | 0.987387 | − | 0.717378i | 0.0785523 | − | 0.0570716i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 2.71050 | − | 8.34207i | 0.214284 | − | 0.659499i | ||||
\(161\) | −6.14339 | + | 4.46344i | −0.484167 | + | 0.351768i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 4.12168 | + | 12.6852i | 0.322835 | + | 0.993584i | 0.972408 | + | 0.233285i | \(0.0749475\pi\) |
−0.649574 | + | 0.760299i | \(0.725053\pi\) | |||||||
\(164\) | −13.1855 | −1.02962 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.85352 | −0.143861 | ||||||||
\(167\) | −5.84510 | − | 17.9894i | −0.452308 | − | 1.39206i | −0.874267 | − | 0.485445i | \(-0.838658\pi\) |
0.421960 | − | 0.906615i | \(-0.361342\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.48039 | + | 1.07557i | −0.113876 | + | 0.0827359i | ||||
\(170\) | −1.03115 | + | 3.17357i | −0.0790860 | + | 0.243402i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.52896 | − | 1.11085i | 0.116582 | − | 0.0847016i | ||||
\(173\) | 1.22492 | + | 0.889958i | 0.0931292 | + | 0.0676623i | 0.633375 | − | 0.773845i | \(-0.281669\pi\) |
−0.540246 | + | 0.841507i | \(0.681669\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −9.52036 | −0.719671 | ||||||||
\(176\) | 11.2478 | − | 3.11207i | 0.847835 | − | 0.234581i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.816166 | + | 2.51190i | 0.0611742 | + | 0.188275i | ||||
\(179\) | −10.6703 | − | 7.75244i | −0.797537 | − | 0.579445i | 0.112653 | − | 0.993634i | \(-0.464065\pi\) |
−0.910191 | + | 0.414190i | \(0.864065\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.864886 | − | 2.66185i | 0.0642865 | − | 0.197853i | −0.913754 | − | 0.406267i | \(-0.866830\pi\) |
0.978041 | + | 0.208414i | \(0.0668301\pi\) | |||||||
\(182\) | −1.38220 | + | 4.25398i | −0.102456 | + | 0.315326i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −1.68527 | − | 1.22442i | −0.124240 | − | 0.0902656i | ||||
\(185\) | 6.48248 | + | 19.9510i | 0.476602 | + | 1.46683i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −13.8097 | + | 3.82089i | −1.00986 | + | 0.279411i | ||||
\(188\) | −11.2557 | −0.820907 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.01374 | + | 0.736522i | 0.0735441 | + | 0.0534329i | ||||
\(191\) | 13.5442 | − | 9.84044i | 0.980024 | − | 0.712029i | 0.0223100 | − | 0.999751i | \(-0.492898\pi\) |
0.957714 | + | 0.287722i | \(0.0928979\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −6.81054 | + | 20.9607i | −0.490233 | + | 1.50878i | 0.334022 | + | 0.942565i | \(0.391594\pi\) |
−0.824255 | + | 0.566218i | \(0.808406\pi\) | |||||||
\(194\) | 1.71003 | − | 1.24241i | 0.122773 | − | 0.0891998i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −5.68721 | − | 17.5034i | −0.406229 | − | 1.25024i | ||||
\(197\) | 18.2247 | 1.29845 | 0.649227 | − | 0.760595i | \(-0.275093\pi\) | ||||
0.649227 | + | 0.760595i | \(0.275093\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −25.0958 | −1.77899 | −0.889497 | − | 0.456942i | \(-0.848945\pi\) | ||||
−0.889497 | + | 0.456942i | \(0.848945\pi\) | |||||||
\(200\) | −0.807044 | − | 2.48383i | −0.0570666 | − | 0.175633i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 3.16451 | − | 2.29915i | 0.222654 | − | 0.161768i | ||||
\(203\) | −4.47270 | + | 13.7656i | −0.313922 | + | 0.966153i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −15.0597 | + | 10.9415i | −1.05181 | + | 0.764188i | ||||
\(206\) | −1.17081 | − | 0.850642i | −0.0815741 | − | 0.0592670i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 13.5506 | 0.939563 | ||||||||
\(209\) | −0.237902 | + | 5.37528i | −0.0164560 | + | 0.371816i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.55558 | + | 7.86526i | 0.175933 | + | 0.541467i | 0.999675 | − | 0.0254986i | \(-0.00811733\pi\) |
−0.823742 | + | 0.566965i | \(0.808117\pi\) | |||||||
\(212\) | −2.43987 | − | 1.77267i | −0.167571 | − | 0.121747i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.244872 | + | 0.753637i | −0.0167391 | + | 0.0515176i | ||||
\(215\) | 0.824482 | − | 2.53749i | 0.0562292 | − | 0.173056i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −16.0308 | − | 11.6470i | −1.08824 | − | 0.790652i | ||||
\(218\) | −1.52945 | − | 4.70716i | −0.103587 | − | 0.318809i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 10.7385 | − | 13.4836i | 0.723988 | − | 0.909064i | ||||
\(221\) | −16.6369 | −1.11912 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.94796 | + | 4.32145i | 0.398305 | + | 0.289385i | 0.768850 | − | 0.639429i | \(-0.220829\pi\) |
−0.370545 | + | 0.928814i | \(0.620829\pi\) | |||||||
\(224\) | 10.6711 | − | 7.75301i | 0.712993 | − | 0.518020i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.0831507 | − | 0.255912i | 0.00553110 | − | 0.0170230i | ||||
\(227\) | 15.3237 | − | 11.1334i | 1.01707 | − | 0.738947i | 0.0513921 | − | 0.998679i | \(-0.483634\pi\) |
0.965681 | + | 0.259732i | \(0.0836342\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.42870 | − | 7.47478i | −0.160493 | − | 0.493947i | 0.838183 | − | 0.545389i | \(-0.183618\pi\) |
−0.998676 | + | 0.0514422i | \(0.983618\pi\) | |||||||
\(230\) | −1.43992 | −0.0949454 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.97054 | −0.260678 | ||||||||
\(233\) | −2.03006 | − | 6.24789i | −0.132994 | − | 0.409313i | 0.862279 | − | 0.506434i | \(-0.169037\pi\) |
−0.995273 | + | 0.0971212i | \(0.969037\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −12.8556 | + | 9.34013i | −0.838606 | + | 0.609283i | ||||
\(236\) | −6.73691 | + | 20.7341i | −0.438536 | + | 1.34967i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −4.05960 | + | 2.94947i | −0.263145 | + | 0.191186i | ||||
\(239\) | 20.6674 | + | 15.0157i | 1.33686 | + | 0.971287i | 0.999553 | + | 0.0298925i | \(0.00951648\pi\) |
0.337308 | + | 0.941394i | \(0.390484\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2.98198 | −0.192086 | −0.0960432 | − | 0.995377i | \(-0.530619\pi\) | ||||
−0.0960432 | + | 0.995377i | \(0.530619\pi\) | |||||||
\(242\) | −3.12437 | − | 0.277103i | −0.200842 | − | 0.0178129i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.10344 | + | 15.7068i | 0.326714 | + | 1.00552i | ||||
\(245\) | −21.0201 | − | 15.2720i | −1.34293 | − | 0.975694i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.93055 | + | 5.94161i | −0.122838 | + | 0.378056i | ||||
\(248\) | 1.67973 | − | 5.16969i | 0.106663 | − | 0.328276i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.66390 | + | 1.20889i | 0.105234 | + | 0.0764572i | ||||
\(251\) | 3.60577 | + | 11.0974i | 0.227594 | + | 0.700463i | 0.998018 | + | 0.0629308i | \(0.0200447\pi\) |
−0.770424 | + | 0.637532i | \(0.779955\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.40953 | − | 5.15792i | −0.214355 | − | 0.324276i | ||||
\(254\) | 0.698728 | 0.0438421 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −7.99667 | − | 5.80992i | −0.499792 | − | 0.363120i | ||||
\(257\) | −16.7664 | + | 12.1815i | −1.04586 | + | 0.759863i | −0.971421 | − | 0.237363i | \(-0.923717\pi\) |
−0.0744403 | + | 0.997225i | \(0.523717\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −9.74822 | + | 30.0019i | −0.605725 | + | 1.86423i | ||||
\(260\) | 16.1919 | − | 11.7641i | 1.00418 | − | 0.729578i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.352231 | + | 1.08406i | 0.0217609 | + | 0.0669732i | ||||
\(263\) | 9.08545 | 0.560233 | 0.280117 | − | 0.959966i | \(-0.409627\pi\) | ||||
0.280117 | + | 0.959966i | \(0.409627\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.25766 | −0.261546 | ||||||||
\(266\) | 0.582281 | + | 1.79208i | 0.0357020 | + | 0.109879i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −2.70179 | + | 1.96297i | −0.165038 | + | 0.119907i | ||||
\(269\) | 2.45399 | − | 7.55261i | 0.149623 | − | 0.460491i | −0.847954 | − | 0.530070i | \(-0.822166\pi\) |
0.997576 | + | 0.0695792i | \(0.0221656\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.01249 | + | 2.18870i | −0.182995 | + | 0.132954i | −0.675512 | − | 0.737349i | \(-0.736077\pi\) |
0.492516 | + | 0.870303i | \(0.336077\pi\) | |||||||
\(272\) | 12.2985 | + | 8.93536i | 0.745704 | + | 0.541786i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.310600 | 0.0187640 | ||||||||
\(275\) | 0.342746 | − | 7.74416i | 0.0206683 | − | 0.466991i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.20536 | − | 3.70973i | −0.0724232 | − | 0.222896i | 0.908292 | − | 0.418336i | \(-0.137386\pi\) |
−0.980716 | + | 0.195440i | \(0.937386\pi\) | |||||||
\(278\) | −0.665523 | − | 0.483531i | −0.0399154 | − | 0.0290003i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.80987 | − | 11.7256i | 0.227684 | − | 0.700738i | ||||
\(281\) | 0.0122442 | − | 0.0376838i | 0.000730428 | − | 0.00224803i | −0.950691 | − | 0.310141i | \(-0.899624\pi\) |
0.951421 | + | 0.307893i | \(0.0996238\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.17275 | − | 3.75822i | −0.307488 | − | 0.223403i | 0.423330 | − | 0.905976i | \(-0.360861\pi\) |
−0.730818 | + | 0.682572i | \(0.760861\pi\) | |||||||
\(284\) | 3.40410 | + | 10.4767i | 0.201996 | + | 0.621680i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.41057 | − | 1.27748i | −0.201671 | − | 0.0755388i | ||||
\(287\) | −27.9925 | −1.65235 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.34634 | − | 0.978174i | −0.0791965 | − | 0.0575397i | ||||
\(290\) | −2.22041 | + | 1.61322i | −0.130387 | + | 0.0947315i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.39928 | − | 7.38421i | 0.140407 | − | 0.432128i | ||||
\(293\) | 18.9370 | − | 13.7585i | 1.10631 | − | 0.803782i | 0.124233 | − | 0.992253i | \(-0.460353\pi\) |
0.982079 | + | 0.188471i | \(0.0603531\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 9.51092 | + | 29.2716i | 0.553747 | + | 1.70426i | ||||
\(296\) | −8.65375 | −0.502989 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 5.75282 | 0.333252 | ||||||||
\(299\) | −2.21846 | − | 6.82772i | −0.128297 | − | 0.394857i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.24594 | − | 2.35831i | 0.187093 | − | 0.135931i | ||||
\(302\) | −0.976177 | + | 3.00436i | −0.0561727 | + | 0.172882i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 4.61824 | − | 3.35534i | 0.264874 | − | 0.192442i | ||||
\(305\) | 18.8625 | + | 13.7044i | 1.08007 | + | 0.784713i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 29.1494 | 1.66365 | 0.831823 | − | 0.555042i | \(-0.187298\pi\) | ||||
0.831823 | + | 0.555042i | \(0.187298\pi\) | |||||||
\(308\) | 24.9824 | − | 6.91218i | 1.42350 | − | 0.393858i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.16109 | − | 3.57347i | −0.0659455 | − | 0.202959i | ||||
\(311\) | 15.9423 | + | 11.5827i | 0.904003 | + | 0.656797i | 0.939491 | − | 0.342573i | \(-0.111299\pi\) |
−0.0354879 | + | 0.999370i | \(0.511299\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.413581 | − | 1.27287i | 0.0233770 | − | 0.0719470i | −0.938687 | − | 0.344769i | \(-0.887957\pi\) |
0.962064 | + | 0.272822i | \(0.0879571\pi\) | |||||||
\(314\) | 0.0293235 | − | 0.0902485i | 0.00165482 | − | 0.00509302i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.64387 | − | 4.82706i | −0.373747 | − | 0.271543i | ||||
\(317\) | 1.23634 | + | 3.80507i | 0.0694400 | + | 0.213714i | 0.979754 | − | 0.200203i | \(-0.0641602\pi\) |
−0.910314 | + | 0.413917i | \(0.864160\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −11.0363 | − | 4.13382i | −0.617915 | − | 0.231449i | ||||
\(320\) | −16.5616 | −0.925821 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.75178 | − | 1.27274i | −0.0976228 | − | 0.0709271i | ||||
\(323\) | −5.67011 | + | 4.11958i | −0.315493 | + | 0.229219i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.78134 | − | 8.56008i | 0.154281 | − | 0.474828i | ||||
\(326\) | −3.07695 | + | 2.23554i | −0.170417 | + | 0.123815i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.37294 | − | 7.30315i | −0.131024 | − | 0.403249i | ||||
\(329\) | −23.8956 | −1.31741 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.18033 | 0.174807 | 0.0874034 | − | 0.996173i | \(-0.472143\pi\) | ||||
0.0874034 | + | 0.996173i | \(0.472143\pi\) | |||||||
\(332\) | 3.85401 | + | 11.8614i | 0.211516 | + | 0.650980i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 4.36353 | − | 3.17029i | 0.238762 | − | 0.173471i | ||||
\(335\) | −1.45693 | + | 4.48397i | −0.0796006 | + | 0.244985i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 14.7223 | − | 10.6964i | 0.801977 | − | 0.582670i | −0.109517 | − | 0.993985i | \(-0.534930\pi\) |
0.911493 | + | 0.411315i | \(0.134930\pi\) | |||||||
\(338\) | −0.422131 | − | 0.306696i | −0.0229609 | − | 0.0166821i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 22.4531 | 1.21769 | ||||||||
\(341\) | 10.0512 | − | 12.6206i | 0.544303 | − | 0.683445i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.26270 | − | 10.0416i | −0.176169 | − | 0.542193i | ||||
\(344\) | 0.890434 | + | 0.646938i | 0.0480090 | + | 0.0348806i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.133415 | + | 0.410609i | −0.00717243 | + | 0.0220745i | ||||
\(347\) | −8.47142 | + | 26.0724i | −0.454770 | + | 1.39964i | 0.416635 | + | 0.909074i | \(0.363209\pi\) |
−0.871405 | + | 0.490564i | \(0.836791\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −18.5310 | − | 13.4635i | −0.991940 | − | 0.720686i | −0.0315945 | − | 0.999501i | \(-0.510059\pi\) |
−0.960345 | + | 0.278815i | \(0.910059\pi\) | |||||||
\(350\) | −0.838893 | − | 2.58185i | −0.0448407 | − | 0.138006i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 5.92237 | + | 8.95933i | 0.315663 | + | 0.477534i | ||||
\(353\) | −29.7047 | −1.58102 | −0.790511 | − | 0.612448i | \(-0.790185\pi\) | ||||
−0.790511 | + | 0.612448i | \(0.790185\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 12.5817 | + | 9.14113i | 0.667767 | + | 0.485161i | ||||
\(356\) | 14.3776 | − | 10.4460i | 0.762013 | − | 0.553635i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 1.16218 | − | 3.57682i | 0.0614231 | − | 0.189041i | ||||
\(359\) | 29.8183 | − | 21.6643i | 1.57375 | − | 1.14340i | 0.650299 | − | 0.759678i | \(-0.274644\pi\) |
0.923450 | − | 0.383718i | \(-0.125356\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.05804 | − | 15.5670i | −0.266213 | − | 0.819318i | ||||
\(362\) | 0.798082 | 0.0419462 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 30.0970 | 1.57751 | ||||||||
\(365\) | −3.38721 | − | 10.4247i | −0.177294 | − | 0.545656i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 20.1127 | − | 14.6127i | 1.04987 | − | 0.762777i | 0.0776846 | − | 0.996978i | \(-0.475247\pi\) |
0.972188 | + | 0.234201i | \(0.0752473\pi\) | |||||||
\(368\) | −2.02708 | + | 6.23872i | −0.105669 | + | 0.325216i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −4.83936 | + | 3.51600i | −0.251586 | + | 0.182788i | ||||
\(371\) | −5.17979 | − | 3.76334i | −0.268921 | − | 0.195383i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 18.2790 | 0.946453 | 0.473227 | − | 0.880941i | \(-0.343089\pi\) | ||||
0.473227 | + | 0.880941i | \(0.343089\pi\) | |||||||
\(374\) | −2.25304 | − | 3.40839i | −0.116502 | − | 0.176244i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.02564 | − | 6.23428i | −0.104464 | − | 0.321508i | ||||
\(377\) | −11.0704 | − | 8.04312i | −0.570155 | − | 0.414242i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −9.72145 | + | 29.9196i | −0.499357 | + | 1.53686i | 0.310697 | + | 0.950509i | \(0.399438\pi\) |
−0.810054 | + | 0.586355i | \(0.800562\pi\) | |||||||
\(380\) | 2.60545 | − | 8.01876i | 0.133657 | − | 0.411354i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 3.86211 | + | 2.80598i | 0.197603 | + | 0.143567i | ||||
\(383\) | −3.84163 | − | 11.8233i | −0.196298 | − | 0.604143i | −0.999959 | − | 0.00905578i | \(-0.997117\pi\) |
0.803661 | − | 0.595087i | \(-0.202883\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 22.7975 | − | 28.6254i | 1.16187 | − | 1.45888i | ||||
\(386\) | −6.28449 | −0.319872 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −11.5064 | − | 8.35986i | −0.584147 | − | 0.424408i | ||||
\(389\) | −5.92175 | + | 4.30240i | −0.300244 | + | 0.218140i | −0.727699 | − | 0.685896i | \(-0.759410\pi\) |
0.427455 | + | 0.904037i | \(0.359410\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.48878 | − | 7.65969i | 0.125863 | − | 0.387367i | ||||
\(392\) | 8.67124 | − | 6.30003i | 0.437964 | − | 0.318199i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 1.60588 | + | 4.94239i | 0.0809030 | + | 0.248994i | ||||
\(395\) | −11.5938 | −0.583346 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 34.2087 | 1.71688 | 0.858442 | − | 0.512911i | \(-0.171433\pi\) | ||||
0.858442 | + | 0.512911i | \(0.171433\pi\) | |||||||
\(398\) | −2.21133 | − | 6.80578i | −0.110844 | − | 0.341143i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −6.65349 | + | 4.83404i | −0.332675 | + | 0.241702i | ||||
\(401\) | 2.31014 | − | 7.10988i | 0.115363 | − | 0.355051i | −0.876660 | − | 0.481111i | \(-0.840233\pi\) |
0.992023 | + | 0.126061i | \(0.0402334\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 15.1556 | − | 11.0112i | 0.754953 | − | 0.548505i | ||||
\(404\) | −21.2932 | − | 15.4704i | −1.05938 | − | 0.769682i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −4.12723 | −0.204831 | ||||||||
\(407\) | −24.0536 | − | 9.00962i | −1.19229 | − | 0.446590i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.744792 | + | 2.29224i | 0.0368276 | + | 0.113344i | 0.967780 | − | 0.251796i | \(-0.0810212\pi\) |
−0.930953 | + | 0.365140i | \(0.881021\pi\) | |||||||
\(410\) | −4.29425 | − | 3.11995i | −0.212078 | − | 0.154084i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −3.00915 | + | 9.26122i | −0.148250 | + | 0.456268i | ||||
\(413\) | −14.3023 | + | 44.0180i | −0.703771 | + | 2.16598i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 14.2446 | + | 10.3493i | 0.699239 | + | 0.508027i | ||||
\(416\) | 3.85347 | + | 11.8598i | 0.188932 | + | 0.581473i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.47870 | + | 0.409129i | −0.0723254 | + | 0.0200112i | ||||
\(419\) | −11.2018 | −0.547242 | −0.273621 | − | 0.961838i | \(-0.588221\pi\) | ||||
−0.273621 | + | 0.961838i | \(0.588221\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.58615 | + | 4.05858i | 0.272252 | + | 0.197803i | 0.715531 | − | 0.698581i | \(-0.246185\pi\) |
−0.443279 | + | 0.896384i | \(0.646185\pi\) | |||||||
\(422\) | −1.90781 | + | 1.38611i | −0.0928708 | + | 0.0674746i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.542748 | − | 1.67041i | 0.0263582 | − | 0.0811222i | ||||
\(425\) | 8.16893 | − | 5.93507i | 0.396251 | − | 0.287893i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 10.8345 | + | 33.3451i | 0.524318 | + | 1.61368i | ||||
\(428\) | 5.33200 | 0.257732 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.760798 | 0.0366890 | ||||||||
\(431\) | −9.01729 | − | 27.7524i | −0.434348 | − | 1.33678i | −0.893754 | − | 0.448558i | \(-0.851938\pi\) |
0.459406 | − | 0.888226i | \(-0.348062\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 29.5582 | − | 21.4753i | 1.42048 | − | 1.03204i | 0.428785 | − | 0.903407i | \(-0.358942\pi\) |
0.991693 | − | 0.128630i | \(-0.0410581\pi\) | |||||||
\(434\) | 1.74602 | − | 5.37370i | 0.0838117 | − | 0.257946i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −26.9429 | + | 19.5752i | −1.29033 | + | 0.937480i | ||||
\(437\) | −2.44674 | − | 1.77766i | −0.117043 | − | 0.0850370i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −21.4975 | −1.02602 | −0.513009 | − | 0.858383i | \(-0.671469\pi\) | ||||
−0.513009 | + | 0.858383i | \(0.671469\pi\) | |||||||
\(440\) | 9.40081 | + | 3.52121i | 0.448166 | + | 0.167867i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.46597 | − | 4.51180i | −0.0697293 | − | 0.214605i | ||||
\(443\) | 27.0576 | + | 19.6585i | 1.28554 | + | 0.934002i | 0.999705 | − | 0.0242753i | \(-0.00772784\pi\) |
0.285839 | + | 0.958278i | \(0.407728\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 7.75307 | − | 23.8615i | 0.367531 | − | 1.13114i | ||||
\(446\) | −0.647834 | + | 1.99383i | −0.0306758 | + | 0.0944105i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −20.1485 | − | 14.6388i | −0.951929 | − | 0.691617i | ||||
\(449\) | 12.2165 | + | 37.5984i | 0.576530 | + | 1.77438i | 0.630908 | + | 0.775858i | \(0.282682\pi\) |
−0.0543777 | + | 0.998520i | \(0.517318\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.00777 | − | 22.7700i | 0.0474540 | − | 1.07220i | ||||
\(452\) | −1.81058 | −0.0851625 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 4.36954 | + | 3.17466i | 0.205073 | + | 0.148994i | ||||
\(455\) | 34.3750 | − | 24.9749i | 1.61152 | − | 1.17084i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.5919 | − | 35.6763i | 0.542248 | − | 1.66887i | −0.185196 | − | 0.982702i | \(-0.559292\pi\) |
0.727444 | − | 0.686167i | \(-0.240708\pi\) | |||||||
\(458\) | 1.81309 | − | 1.31729i | 0.0847204 | − | 0.0615529i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.99402 | + | 9.21464i | 0.139597 | + | 0.429635i | ||||
\(461\) | 19.3653 | 0.901932 | 0.450966 | − | 0.892541i | \(-0.351080\pi\) | ||||
0.450966 | + | 0.892541i | \(0.351080\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.3493 | −0.666867 | −0.333434 | − | 0.942774i | \(-0.608207\pi\) | ||||
−0.333434 | + | 0.942774i | \(0.608207\pi\) | |||||||
\(464\) | 3.86375 | + | 11.8914i | 0.179370 | + | 0.552044i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.51550 | − | 1.10107i | 0.0702041 | − | 0.0510063i | ||||
\(467\) | −6.89755 | + | 21.2285i | −0.319180 | + | 0.982336i | 0.654819 | + | 0.755786i | \(0.272745\pi\) |
−0.973999 | + | 0.226551i | \(0.927255\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −5.73585 | + | 4.16734i | −0.264857 | + | 0.192430i | ||||
\(470\) | −3.66575 | − | 2.66332i | −0.169088 | − | 0.122850i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −12.6965 | −0.584406 | ||||||||
\(473\) | 1.80147 | + | 2.72525i | 0.0828316 | + | 0.125307i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.17170 | − | 3.60611i | −0.0537611 | − | 0.165460i | ||||
\(476\) | 27.3160 | + | 19.8462i | 1.25203 | + | 0.909651i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.25103 | + | 6.92795i | −0.102960 | + | 0.316877i | ||||
\(479\) | −7.18824 | + | 22.1231i | −0.328439 | + | 1.01083i | 0.641425 | + | 0.767186i | \(0.278343\pi\) |
−0.969864 | + | 0.243646i | \(0.921657\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −24.1279 | − | 17.5299i | −1.10014 | − | 0.799296i | ||||
\(482\) | −0.262760 | − | 0.808691i | −0.0119684 | − | 0.0368349i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.72319 | + | 20.5703i | 0.214690 | + | 0.935014i | ||||
\(485\) | −20.0790 | −0.911740 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −0.219083 | − | 0.159173i | −0.00992760 | − | 0.00721282i | 0.582810 | − | 0.812608i | \(-0.301953\pi\) |
−0.592738 | + | 0.805395i | \(0.701953\pi\) | |||||||
\(488\) | −7.78118 | + | 5.65336i | −0.352237 | + | 0.255915i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.28945 | − | 7.04621i | 0.103427 | − | 0.318315i | ||||
\(491\) | 3.40318 | − | 2.47255i | 0.153583 | − | 0.111585i | −0.508340 | − | 0.861157i | \(-0.669741\pi\) |
0.661923 | + | 0.749572i | \(0.269741\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.74377 | − | 14.5998i | −0.213649 | − | 0.657544i | ||||
\(494\) | −1.78143 | −0.0801504 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −17.1173 | −0.768589 | ||||||||
\(497\) | 7.22682 | + | 22.2419i | 0.324167 | + | 0.997685i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.4299 | − | 9.03087i | 0.556440 | − | 0.404277i | −0.273714 | − | 0.961811i | \(-0.588252\pi\) |
0.830154 | + | 0.557534i | \(0.188252\pi\) | |||||||
\(500\) | 4.27647 | − | 13.1616i | 0.191250 | − | 0.588606i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −2.69181 | + | 1.95571i | −0.120141 | + | 0.0872878i | ||||
\(503\) | −3.16786 | − | 2.30159i | −0.141248 | − | 0.102623i | 0.514917 | − | 0.857240i | \(-0.327823\pi\) |
−0.656165 | + | 0.754617i | \(0.727823\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −37.1573 | −1.65348 | ||||||||
\(506\) | 1.09836 | − | 1.37913i | 0.0488279 | − | 0.0613099i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.45286 | − | 4.47145i | −0.0644604 | − | 0.198389i | ||||
\(509\) | −23.0969 | − | 16.7809i | −1.02375 | − | 0.743801i | −0.0567047 | − | 0.998391i | \(-0.518059\pi\) |
−0.967049 | + | 0.254590i | \(0.918059\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.09361 | − | 15.6765i | 0.225328 | − | 0.693488i | ||||
\(512\) | 5.95109 | − | 18.3156i | 0.263004 | − | 0.809442i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −4.78092 | − | 3.47354i | −0.210877 | − | 0.153211i | ||||
\(515\) | 4.24821 | + | 13.0746i | 0.187198 | + | 0.576138i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.860274 | − | 19.4375i | 0.0378348 | − | 0.854858i | ||||
\(518\) | −8.99526 | −0.395229 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 9.42984 | + | 6.85118i | 0.413526 | + | 0.300444i | ||||
\(521\) | 11.5485 | − | 8.39049i | 0.505950 | − | 0.367594i | −0.305335 | − | 0.952245i | \(-0.598768\pi\) |
0.811285 | + | 0.584651i | \(0.198768\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.2462 | + | 31.5345i | −0.448034 | + | 1.37891i | 0.431088 | + | 0.902310i | \(0.358130\pi\) |
−0.879122 | + | 0.476597i | \(0.841870\pi\) | |||||||
\(524\) | 6.20494 | − | 4.50815i | 0.271064 | − | 0.196939i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0.800571 | + | 2.46390i | 0.0349066 | + | 0.107431i | ||||
\(527\) | 21.0160 | 0.915472 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −19.5246 | −0.848897 | ||||||||
\(530\) | −0.375166 | − | 1.15464i | −0.0162962 | − | 0.0501545i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 10.2575 | − | 7.45252i | 0.444720 | − | 0.323108i | ||||
\(533\) | 8.17793 | − | 25.1691i | 0.354225 | − | 1.09019i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.08988 | − | 4.42456i | 0.263289 | − | 0.191290i | ||||
\(536\) | −1.57347 | − | 1.14320i | −0.0679637 | − | 0.0493785i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 2.26444 | 0.0976271 | ||||||||
\(539\) | 30.6613 | − | 8.48344i | 1.32068 | − | 0.365407i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −8.79490 | − | 27.0679i | −0.378122 | − | 1.16374i | −0.941348 | − | 0.337437i | \(-0.890440\pi\) |
0.563226 | − | 0.826303i | \(-0.309560\pi\) | |||||||
\(542\) | −0.859005 | − | 0.624104i | −0.0368974 | − | 0.0268076i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.32303 | + | 13.3049i | −0.185348 | + | 0.570443i | ||||
\(545\) | −14.5288 | + | 44.7151i | −0.622346 | + | 1.91539i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 24.8745 | + | 18.0724i | 1.06356 | + | 0.772721i | 0.974744 | − | 0.223327i | \(-0.0716919\pi\) |
0.0888154 | + | 0.996048i | \(0.471692\pi\) | |||||||
\(548\) | −0.645829 | − | 1.98766i | −0.0275884 | − | 0.0849085i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.13036 | − | 0.589432i | 0.0908388 | − | 0.0251335i | ||||
\(551\) | −5.76457 | −0.245579 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −14.1048 | − | 10.2477i | −0.599796 | − | 0.435778i | ||||
\(554\) | 0.899837 | − | 0.653770i | 0.0382304 | − | 0.0277760i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −1.71050 | + | 5.26436i | −0.0725412 | + | 0.223259i | ||||
\(557\) | 5.90145 | − | 4.28765i | 0.250052 | − | 0.181674i | −0.455698 | − | 0.890135i | \(-0.650610\pi\) |
0.705750 | + | 0.708461i | \(0.250610\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.17215 | + | 3.60751i | 0.0495767 | + | 0.152581i | ||||
\(560\) | −38.8245 | −1.64063 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.0112985 | 0.000476597 | ||||||||
\(563\) | −11.3018 | − | 34.7834i | −0.476315 | − | 1.46595i | −0.844176 | − | 0.536065i | \(-0.819910\pi\) |
0.367862 | − | 0.929881i | \(-0.380090\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −2.06793 | + | 1.50244i | −0.0869987 | + | 0.0632082i | ||||
\(566\) | 0.563400 | − | 1.73397i | 0.0236815 | − | 0.0728841i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.19020 | + | 3.77090i | −0.217776 | + | 0.158224i | ||||
\(569\) | −0.122553 | − | 0.0890399i | −0.00513769 | − | 0.00373275i | 0.585213 | − | 0.810879i | \(-0.301011\pi\) |
−0.590351 | + | 0.807147i | \(0.701011\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 43.2254 | 1.80893 | 0.904463 | − | 0.426552i | \(-0.140272\pi\) | ||||
0.904463 | + | 0.426552i | \(0.140272\pi\) | |||||||
\(572\) | −1.08353 | + | 24.4819i | −0.0453048 | + | 1.02364i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −2.46658 | − | 7.59136i | −0.102953 | − | 0.316857i | ||||
\(575\) | 3.52502 | + | 2.56108i | 0.147003 | + | 0.106804i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.00017 | − | 27.6997i | 0.374682 | − | 1.15315i | −0.569011 | − | 0.822330i | \(-0.692674\pi\) |
0.943693 | − | 0.330822i | \(-0.107326\pi\) | |||||||
\(578\) | 0.146639 | − | 0.451310i | 0.00609940 | − | 0.0187720i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 14.9405 | + | 10.8549i | 0.620372 | + | 0.450727i | ||||
\(581\) | 8.18198 | + | 25.1815i | 0.339446 | + | 1.04471i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.24770 | − | 4.07792i | 0.134506 | − | 0.168890i | ||||
\(584\) | 4.52173 | 0.187111 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 5.39985 | + | 3.92322i | 0.223066 | + | 0.162067i | ||||
\(587\) | 18.3605 | − | 13.3397i | 0.757821 | − | 0.550589i | −0.140420 | − | 0.990092i | \(-0.544845\pi\) |
0.898241 | + | 0.439503i | \(0.144845\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.43870 | − | 7.50554i | 0.100485 | − | 0.309261i | ||||
\(590\) | −7.10017 | + | 5.15857i | −0.292309 | + | 0.212375i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 8.42100 | + | 25.9172i | 0.346101 | + | 1.06519i | ||||
\(593\) | −22.9308 | −0.941656 | −0.470828 | − | 0.882225i | \(-0.656045\pi\) | ||||
−0.470828 | + | 0.882225i | \(0.656045\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 47.6673 | 1.95417 | ||||||||
\(596\) | −11.9618 | − | 36.8147i | −0.489975 | − | 1.50799i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.65614 | − | 1.20326i | 0.0677247 | − | 0.0492049i | ||||
\(599\) | −3.86293 | + | 11.8889i | −0.157835 | + | 0.485766i | −0.998437 | − | 0.0558871i | \(-0.982201\pi\) |
0.840602 | + | 0.541653i | \(0.182201\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −18.1858 | + | 13.2127i | −0.741812 | + | 0.538958i | −0.893278 | − | 0.449504i | \(-0.851601\pi\) |
0.151466 | + | 0.988462i | \(0.451601\pi\) | |||||||
\(602\) | 0.925574 | + | 0.672469i | 0.0377236 | + | 0.0274078i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 21.2559 | 0.864892 | ||||||||
\(605\) | 22.4640 | + | 19.5748i | 0.913293 | + | 0.795829i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 8.25222 | + | 25.3977i | 0.334947 | + | 1.03086i | 0.966748 | + | 0.255731i | \(0.0823161\pi\) |
−0.631801 | + | 0.775131i | \(0.717684\pi\) | |||||||
\(608\) | 4.25000 | + | 3.08780i | 0.172360 | + | 0.125227i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −2.05445 | + | 6.32295i | −0.0831822 | + | 0.256009i | ||||
\(611\) | 6.98102 | − | 21.4854i | 0.282422 | − | 0.869205i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 35.1797 | + | 25.5595i | 1.42089 | + | 1.03234i | 0.991623 | + | 0.129163i | \(0.0412289\pi\) |
0.429269 | + | 0.903176i | \(0.358771\pi\) | |||||||
\(614\) | 2.56852 | + | 7.90510i | 0.103657 | + | 0.319024i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 8.32446 | + | 12.5932i | 0.335402 | + | 0.507395i | ||||
\(617\) | 41.4255 | 1.66773 | 0.833864 | − | 0.551969i | \(-0.186123\pi\) | ||||
0.833864 | + | 0.551969i | \(0.186123\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.20976 | − | 5.23820i | −0.289785 | − | 0.210541i | 0.433389 | − | 0.901207i | \(-0.357318\pi\) |
−0.723174 | + | 0.690666i | \(0.757318\pi\) | |||||||
\(620\) | −20.4539 | + | 14.8606i | −0.821446 | + | 0.596816i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −1.73638 | + | 5.34404i | −0.0696227 | + | 0.214277i | ||||
\(623\) | 30.5234 | − | 22.1765i | 1.22289 | − | 0.888485i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −9.64859 | − | 29.6953i | −0.385944 | − | 1.18781i | ||||
\(626\) | 0.381636 | 0.0152532 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.638510 | −0.0254793 | ||||||||
\(629\) | −10.3390 | − | 31.8202i | −0.412244 | − | 1.26876i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.58752 | − | 3.33303i | 0.182626 | − | 0.132686i | −0.492716 | − | 0.870190i | \(-0.663996\pi\) |
0.675342 | + | 0.737504i | \(0.263996\pi\) | |||||||
\(632\) | 1.47793 | − | 4.54859i | 0.0587888 | − | 0.180933i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −0.922965 | + | 0.670573i | −0.0366556 | + | 0.0266319i | ||||
\(635\) | −5.36984 | − | 3.90142i | −0.213096 | − | 0.154823i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 36.9386 | 1.46356 | ||||||||
\(638\) | 0.148586 | − | 3.35722i | 0.00588257 | − | 0.132914i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −6.88034 | − | 21.1755i | −0.271970 | − | 0.837036i | ||||
\(641\) | −21.6964 | − | 15.7633i | −0.856955 | − | 0.622615i | 0.0700995 | − | 0.997540i | \(-0.477668\pi\) |
−0.927055 | + | 0.374925i | \(0.877668\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 4.36902 | − | 13.4465i | 0.172297 | − | 0.530277i | −0.827202 | − | 0.561904i | \(-0.810069\pi\) |
0.999500 | + | 0.0316272i | \(0.0100689\pi\) | |||||||
\(644\) | −4.50234 | + | 13.8568i | −0.177417 | + | 0.546033i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.61682 | − | 1.17469i | −0.0636130 | − | 0.0462176i | ||||
\(647\) | −0.393698 | − | 1.21168i | −0.0154779 | − | 0.0476360i | 0.943019 | − | 0.332738i | \(-0.107973\pi\) |
−0.958497 | + | 0.285102i | \(0.907973\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −35.2907 | − | 13.2187i | −1.38528 | − | 0.518878i | ||||
\(650\) | 2.56651 | 0.100667 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 20.7040 | + | 15.0423i | 0.810832 | + | 0.589104i | ||||
\(653\) | 3.90620 | − | 2.83802i | 0.152861 | − | 0.111060i | −0.508726 | − | 0.860929i | \(-0.669883\pi\) |
0.661587 | + | 0.749868i | \(0.269883\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 3.34598 | − | 10.2979i | 0.130738 | − | 0.402371i | ||||
\(656\) | −19.5632 | + | 14.2135i | −0.763813 | + | 0.554942i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.10558 | − | 6.48030i | −0.0820840 | − | 0.252628i | ||||
\(659\) | −22.1777 | −0.863921 | −0.431961 | − | 0.901892i | \(-0.642178\pi\) | ||||
−0.431961 | + | 0.901892i | \(0.642178\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −27.3975 | −1.06564 | −0.532820 | − | 0.846229i | \(-0.678868\pi\) | ||||
−0.532820 | + | 0.846229i | \(0.678868\pi\) | |||||||
\(662\) | 0.280237 | + | 0.862481i | 0.0108917 | + | 0.0335213i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −5.87618 | + | 4.26930i | −0.228040 | + | 0.165681i | ||||
\(665\) | 5.53132 | − | 17.0236i | 0.214495 | − | 0.660148i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 5.35915 | − | 3.89365i | 0.207507 | − | 0.150763i | ||||
\(668\) | −29.3611 | − | 21.3321i | −1.13602 | − | 0.825363i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.34440 | −0.0519385 | ||||||||
\(671\) | −27.5141 | + | 7.61265i | −1.06217 | + | 0.293883i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 10.8909 | + | 33.5186i | 0.419812 | + | 1.29205i | 0.907876 | + | 0.419239i | \(0.137703\pi\) |
−0.488064 | + | 0.872808i | \(0.662297\pi\) | |||||||
\(674\) | 4.19805 | + | 3.05006i | 0.161703 | + | 0.117484i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.08494 | + | 3.33910i | −0.0417285 | + | 0.128427i | ||||
\(677\) | −13.6122 | + | 41.8940i | −0.523159 | + | 1.61012i | 0.244769 | + | 0.969581i | \(0.421288\pi\) |
−0.767928 | + | 0.640536i | \(0.778712\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −24.4277 | − | 17.7478i | −0.937450 | − | 0.681098i | ||||
\(680\) | 4.04078 | + | 12.4362i | 0.154957 | + | 0.476908i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.30828 | + | 1.61373i | 0.164973 | + | 0.0617929i | ||||
\(683\) | 42.2845 | 1.61797 | 0.808985 | − | 0.587829i | \(-0.200017\pi\) | ||||
0.808985 | + | 0.587829i | \(0.200017\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −2.38701 | − | 1.73426i | −0.0912029 | − | 0.0662628i | ||||
\(686\) | 2.43570 | − | 1.76964i | 0.0929954 | − | 0.0675651i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.07103 | − | 3.29631i | 0.0408328 | − | 0.125670i | ||||
\(689\) | 4.89701 | − | 3.55788i | 0.186561 | − | 0.135545i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −2.61641 | − | 8.05248i | −0.0995329 | − | 0.306331i | 0.888876 | − | 0.458149i | \(-0.151487\pi\) |
−0.988408 | + | 0.151818i | \(0.951487\pi\) | |||||||
\(692\) | 2.90507 | 0.110434 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −7.81709 | −0.296733 | ||||||||
\(695\) | 2.41481 | + | 7.43203i | 0.0915990 | + | 0.281913i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 24.0190 | − | 17.4508i | 0.909783 | − | 0.660996i | ||||
\(698\) | 2.01834 | − | 6.21180i | 0.0763952 | − | 0.235120i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −14.7780 | + | 10.7368i | −0.558556 | + | 0.405815i | ||||
\(701\) | −35.2342 | − | 25.5991i | −1.33078 | − | 0.966865i | −0.999730 | − | 0.0232503i | \(-0.992599\pi\) |
−0.331046 | − | 0.943615i | \(-0.607401\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −12.5638 | −0.473854 | ||||||||
\(704\) | 12.6330 | − | 15.8624i | 0.476125 | − | 0.597839i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.61745 | − | 8.05569i | −0.0985091 | − | 0.303180i | ||||
\(707\) | −45.2050 | − | 32.8433i | −1.70011 | − | 1.23520i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.86253 | + | 5.73229i | −0.0699489 | + | 0.215281i | −0.979920 | − | 0.199391i | \(-0.936104\pi\) |
0.909971 | + | 0.414672i | \(0.136104\pi\) | |||||||
\(710\) | −1.37036 | + | 4.21753i | −0.0514287 | + | 0.158281i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 8.37326 | + | 6.08353i | 0.313801 | + | 0.227990i | ||||
\(713\) | 2.80239 | + | 8.62488i | 0.104950 | + | 0.323004i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 19.0778 | + | 28.8609i | 0.713471 | + | 1.07933i | ||||
\(716\) | −25.3061 | −0.945732 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 8.50264 | + | 6.17753i | 0.317316 | + | 0.230543i | ||||
\(719\) | −32.6897 | + | 23.7504i | −1.21912 | + | 0.885741i | −0.996027 | − | 0.0890560i | \(-0.971615\pi\) |
−0.223092 | + | 0.974797i | \(0.571615\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −6.38836 | + | 19.6614i | −0.237915 | + | 0.732227i | ||||
\(722\) | 3.77597 | − | 2.74340i | 0.140527 | − | 0.102099i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1.65945 | − | 5.10726i | −0.0616729 | − | 0.189810i | ||||
\(725\) | 8.30501 | 0.308441 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 18.7206 | 0.694310 | 0.347155 | − | 0.937808i | \(-0.387148\pi\) | ||||
0.347155 | + | 0.937808i | \(0.387148\pi\) | |||||||
\(728\) | 5.41643 | + | 16.6700i | 0.200746 | + | 0.617833i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 2.52864 | − | 1.83717i | 0.0935893 | − | 0.0679966i | ||||
\(731\) | −1.31498 | + | 4.04709i | −0.0486363 | + | 0.149687i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −0.456440 | + | 0.331623i | −0.0168590 | + | 0.0122488i | −0.596183 | − | 0.802849i | \(-0.703317\pi\) |
0.579324 | + | 0.815097i | \(0.303317\pi\) | |||||||
\(734\) | 5.73510 | + | 4.16679i | 0.211686 | + | 0.153799i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −6.03673 | −0.222517 | ||||||||
\(737\) | −3.18335 | − | 4.81575i | −0.117260 | − | 0.177391i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.602004 | + | 1.85278i | 0.0221451 | + | 0.0681555i | 0.961518 | − | 0.274741i | \(-0.0885921\pi\) |
−0.939373 | + | 0.342896i | \(0.888592\pi\) | |||||||
\(740\) | 32.5628 | + | 23.6582i | 1.19703 | + | 0.869694i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.564167 | − | 1.73633i | 0.0207112 | − | 0.0637426i | ||||
\(743\) | −8.42464 | + | 25.9284i | −0.309070 | + | 0.951220i | 0.669057 | + | 0.743211i | \(0.266698\pi\) |
−0.978127 | + | 0.208009i | \(0.933302\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −44.2113 | − | 32.1214i | −1.61978 | − | 1.17684i | ||||
\(746\) | 1.61067 | + | 4.95714i | 0.0589709 | + | 0.181494i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −17.1270 | + | 21.5052i | −0.626224 | + | 0.786308i | ||||
\(749\) | 11.3197 | 0.413613 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −24.5183 | − | 17.8136i | −0.894685 | − | 0.650027i | 0.0424105 | − | 0.999100i | \(-0.486496\pi\) |
−0.937095 | + | 0.349074i | \(0.886496\pi\) | |||||||
\(752\) | −16.6999 | + | 12.1332i | −0.608983 | + | 0.442452i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 1.20576 | − | 3.71093i | 0.0439110 | − | 0.135144i | ||||
\(755\) | 24.2772 | − | 17.6384i | 0.883539 | − | 0.641929i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 3.43224 | + | 10.5634i | 0.124747 | + | 0.383931i | 0.993855 | − | 0.110691i | \(-0.0353064\pi\) |
−0.869108 | + | 0.494622i | \(0.835306\pi\) | |||||||
\(758\) | −8.97056 | −0.325826 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.91030 | 0.178115 | ||||||||
\(761\) | −10.3029 | − | 31.7091i | −0.373481 | − | 1.14945i | −0.944498 | − | 0.328517i | \(-0.893451\pi\) |
0.571017 | − | 0.820938i | \(-0.306549\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −57.1992 | + | 41.5576i | −2.07075 | + | 1.50449i | ||||
\(764\) | 9.92620 | − | 30.5497i | 0.359117 | − | 1.10525i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.86788 | − | 2.08364i | 0.103621 | − | 0.0752849i | ||||
\(767\) | −35.3997 | − | 25.7194i | −1.27821 | − | 0.928674i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −51.9401 | −1.87301 | −0.936504 | − | 0.350656i | \(-0.885959\pi\) | ||||
−0.936504 | + | 0.350656i | \(0.885959\pi\) | |||||||
\(770\) | 9.77180 | + | 3.66017i | 0.352151 | + | 0.131903i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 13.0673 | + | 40.2171i | 0.470303 | + | 1.44744i | ||||
\(773\) | 6.24784 | + | 4.53932i | 0.224719 | + | 0.163268i | 0.694448 | − | 0.719542i | \(-0.255648\pi\) |
−0.469729 | + | 0.882811i | \(0.655648\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.51343 | + | 10.8132i | −0.126206 | + | 0.388423i | ||||
\(776\) | 2.55959 | − | 7.87759i | 0.0918838 | − | 0.282789i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −1.68858 | − | 1.22682i | −0.0605384 | − | 0.0439837i | ||||
\(779\) | −3.44512 | − | 10.6030i | −0.123434 | − | 0.379891i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −18.3524 | + | 5.07779i | −0.656702 | + | 0.181698i | ||||
\(782\) | 2.29655 | 0.0821244 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −27.3060 | − | 19.8390i | −0.975215 | − | 0.708535i | ||||
\(785\) | −0.729267 | + | 0.529844i | −0.0260287 | + | 0.0189109i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −6.08959 | + | 18.7418i | −0.217070 | + | 0.668074i | 0.781930 | + | 0.623367i | \(0.214236\pi\) |
−0.999000 | + | 0.0447073i | \(0.985764\pi\) | |||||||
\(788\) | 28.2893 | − | 20.5534i | 1.00776 | − | 0.732184i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −1.02159 | − | 3.14414i | −0.0363467 | − | 0.111864i | ||||
\(791\) | −3.84382 | −0.136670 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −33.1470 | −1.17709 | ||||||||
\(794\) | 3.01432 | + | 9.27712i | 0.106974 | + | 0.329233i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −38.9550 | + | 28.3025i | −1.38072 | + | 1.00315i | ||||
\(797\) | 4.33420 | − | 13.3393i | 0.153525 | − | 0.472502i | −0.844483 | − | 0.535582i | \(-0.820092\pi\) |
0.998008 | + | 0.0630799i | \(0.0200923\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 20.5036 | − | 14.8967i | 0.725365 | − | 0.527008i | ||||
\(800\) | −6.12297 | − | 4.44860i | −0.216480 | − | 0.157282i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 2.13170 | 0.0752731 | ||||||||
\(803\) | 12.5684 | + | 4.70768i | 0.443529 | + | 0.166130i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 6.35623 | + | 19.5625i | 0.224028 | + | 0.689486i | ||||
\(806\) | 4.32159 | + | 3.13982i | 0.152221 | + | 0.110595i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 4.73666 | − | 14.5779i | 0.166635 | − | 0.512850i | ||||
\(809\) | −6.46767 | + | 19.9055i | −0.227391 | + | 0.699839i | 0.770649 | + | 0.637260i | \(0.219932\pi\) |
−0.998040 | + | 0.0625783i | \(0.980068\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −1.57186 | − | 1.14203i | −0.0551956 | − | 0.0401019i | 0.559845 | − | 0.828597i | \(-0.310861\pi\) |
−0.615041 | + | 0.788495i | \(0.710861\pi\) | |||||||
\(812\) | 8.58173 | + | 26.4118i | 0.301160 | + | 0.926874i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.323842 | − | 7.31703i | 0.0113506 | − | 0.256462i | ||||
\(815\) | 36.1292 | 1.26555 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.29276 | + | 0.939249i | 0.0452281 | + | 0.0328601i | ||||
\(818\) | −0.556008 | + | 0.403964i | −0.0194404 | + | 0.0141243i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −11.0369 | + | 33.9680i | −0.385424 | + | 1.18621i | ||||
\(821\) | −8.77117 | + | 6.37263i | −0.306116 | + | 0.222406i | −0.730228 | − | 0.683203i | \(-0.760586\pi\) |
0.424112 | + | 0.905610i | \(0.360586\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 14.7302 | + | 45.3348i | 0.513461 | + | 1.58027i | 0.786065 | + | 0.618144i | \(0.212115\pi\) |
−0.272604 | + | 0.962126i | \(0.587885\pi\) | |||||||
\(824\) | −5.67112 | −0.197563 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −13.1976 | −0.459203 | ||||||||
\(827\) | 11.5619 | + | 35.5838i | 0.402046 | + | 1.23737i | 0.923337 | + | 0.383991i | \(0.125451\pi\) |
−0.521291 | + | 0.853379i | \(0.674549\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −8.66207 | + | 6.29336i | −0.300846 | + | 0.218578i | −0.727959 | − | 0.685621i | \(-0.759531\pi\) |
0.427113 | + | 0.904198i | \(0.359531\pi\) | |||||||
\(830\) | −1.55148 | + | 4.77496i | −0.0538526 | + | 0.165741i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 19.0486 | − | 13.8396i | 0.660390 | − | 0.479801i | ||||
\(833\) | 33.5254 | + | 24.3576i | 1.16159 | + | 0.843941i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −51.2361 | −1.77310 | ||||||||
\(836\) | 5.69284 | + | 8.61209i | 0.196891 | + | 0.297856i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −0.987051 | − | 3.03783i | −0.0340971 | − | 0.104940i | ||||
\(839\) | −12.4277 | − | 9.02927i | −0.429053 | − | 0.311725i | 0.352217 | − | 0.935918i | \(-0.385428\pi\) |
−0.781270 | + | 0.624193i | \(0.785428\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.05976 | + | 15.5724i | −0.174475 | + | 0.536978i | ||||
\(842\) | −0.608427 | + | 1.87255i | −0.0209678 | + | 0.0645322i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 12.8372 | + | 9.32675i | 0.441874 | + | 0.321040i | ||||
\(845\) | 1.53168 | + | 4.71402i | 0.0526913 | + | 0.162167i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 10.0272 | + | 43.6703i | 0.344539 | + | 1.50053i | ||||
\(848\) | −5.53087 | −0.189931 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 2.32936 | + | 1.69238i | 0.0798963 | + | 0.0580480i | ||||
\(851\) | 11.6802 | − | 8.48617i | 0.400393 | − | 0.290902i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 12.8132 | − | 39.4348i | 0.438714 | − | 1.35022i | −0.450518 | − | 0.892767i | \(-0.648761\pi\) |
0.889232 | − | 0.457456i | \(-0.151239\pi\) | |||||||
\(854\) | −8.08825 | + | 5.87646i | −0.276774 | + | 0.201088i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0.959576 | + | 2.95327i | 0.0327976 | + | 0.100941i | ||||
\(857\) | 18.4055 | 0.628719 | 0.314359 | − | 0.949304i | \(-0.398210\pi\) | ||||
0.314359 | + | 0.949304i | \(0.398210\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −15.0485 | −0.513449 | −0.256725 | − | 0.966485i | \(-0.582643\pi\) | ||||
−0.256725 | + | 0.966485i | \(0.582643\pi\) | |||||||
\(860\) | −1.58192 | − | 4.86866i | −0.0539432 | − | 0.166020i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 6.73166 | − | 4.89084i | 0.229281 | − | 0.166583i | ||||
\(863\) | −4.45906 | + | 13.7236i | −0.151788 | + | 0.467155i | −0.997821 | − | 0.0659746i | \(-0.978984\pi\) |
0.846033 | + | 0.533130i | \(0.178984\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.31799 | − | 2.41066i | 0.112815 | − | 0.0819649i | ||||
\(866\) | 8.42848 | + | 6.12365i | 0.286411 | + | 0.208090i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −38.0191 | −1.29045 | ||||||||
\(869\) | 8.84362 | − | 11.1044i | 0.299999 | − | 0.376689i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.07129 | − | 6.37477i | −0.0701830 | − | 0.216001i | ||||
\(872\) | −15.6910 | − | 11.4002i | −0.531365 | − | 0.386059i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.266492 | − | 0.820177i | 0.00901421 | − | 0.0277429i | ||||
\(875\) | 9.07885 | − | 27.9418i | 0.306921 | − | 0.944607i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 19.4774 | + | 14.1511i | 0.657704 | + | 0.477850i | 0.865887 | − | 0.500240i | \(-0.166755\pi\) |
−0.208183 | + | 0.978090i | \(0.566755\pi\) | |||||||
\(878\) | −1.89426 | − | 5.82994i | −0.0639283 | − | 0.196751i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 1.39773 | − | 31.5811i | 0.0471176 | − | 1.06460i | ||||
\(881\) | −10.0956 | −0.340129 | −0.170064 | − | 0.985433i | \(-0.554398\pi\) | ||||
−0.170064 | + | 0.985433i | \(0.554398\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −41.0332 | − | 29.8124i | −1.38088 | − | 1.00327i | −0.996798 | − | 0.0799659i | \(-0.974519\pi\) |
−0.384079 | − | 0.923300i | \(-0.625481\pi\) | |||||||
\(884\) | −25.8247 | + | 18.7628i | −0.868579 | + | 0.631060i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −2.94703 | + | 9.07002i | −0.0990074 | + | 0.304713i | ||||
\(887\) | 2.08136 | − | 1.51220i | 0.0698854 | − | 0.0507747i | −0.552294 | − | 0.833649i | \(-0.686247\pi\) |
0.622179 | + | 0.782875i | \(0.286247\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.08439 | − | 9.49279i | −0.103447 | − | 0.318378i | ||||
\(890\) | 7.15422 | 0.239810 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 14.1064 | 0.472316 | ||||||||
\(893\) | −2.94090 | − | 9.05115i | −0.0984134 | − | 0.302885i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −28.9031 | + | 20.9993i | −0.966123 | + | 0.701929i | ||||
\(896\) | 10.3465 | − | 31.8433i | 0.345653 | − | 1.06381i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −9.11993 | + | 6.62602i | −0.304336 | + | 0.221113i | ||||
\(899\) | 13.9843 | + | 10.1602i | 0.466403 | + | 0.338862i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 6.79061 | 0.226228 | ||||||||
\(902\) | 6.26386 | − | 1.73310i | 0.208564 | − | 0.0577059i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.325842 | − | 1.00284i | −0.0108373 | − | 0.0333539i | ||||
\(905\) | −6.13339 | − | 4.45617i | −0.203881 | − | 0.148128i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 3.18129 | − | 9.79100i | 0.105633 | − | 0.325105i | −0.884246 | − | 0.467022i | \(-0.845327\pi\) |
0.989878 | + | 0.141917i | \(0.0453268\pi\) | |||||||
\(908\) | 11.2304 | − | 34.5636i | 0.372693 | − | 1.14703i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 9.80197 | + | 7.12155i | 0.324932 | + | 0.236077i | ||||
\(911\) | −4.82145 | − | 14.8389i | −0.159742 | − | 0.491635i | 0.838869 | − | 0.544334i | \(-0.183218\pi\) |
−0.998610 | + | 0.0526992i | \(0.983218\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −20.7780 | + | 5.74891i | −0.687652 | + | 0.190261i | ||||
\(914\) | 10.6966 | 0.353811 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −12.1999 | − | 8.86371i | −0.403094 | − | 0.292865i | ||||
\(917\) | 13.1729 | − | 9.57070i | 0.435009 | − | 0.316052i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.46483 | − | 10.6637i | 0.114294 | − | 0.351761i | −0.877505 | − | 0.479568i | \(-0.840794\pi\) |
0.991799 | + | 0.127806i | \(0.0407935\pi\) | |||||||
\(920\) | −4.56495 | + | 3.31663i | −0.150502 | + | 0.109346i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.70639 | + | 5.25172i | 0.0561968 | + | 0.172956i | ||||
\(923\) | −22.1097 | −0.727751 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 18.1007 | 0.595148 | ||||||||
\(926\) | −1.26440 | − | 3.89141i | −0.0415506 | − | 0.127880i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −9.30886 | + | 6.76328i | −0.305578 | + | 0.222016i | ||||
\(929\) | 7.27040 | − | 22.3760i | 0.238534 | − | 0.734132i | −0.758099 | − | 0.652140i | \(-0.773872\pi\) |
0.996633 | − | 0.0819927i | \(-0.0261284\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 12.5892 | − | 9.14661i | 0.412595 | − | 0.299768i | ||||
\(932\) | −10.1974 | − | 7.40884i | −0.334027 | − | 0.242685i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −6.36478 | −0.208262 | ||||||||
\(935\) | −1.71609 | + | 38.7741i | −0.0561221 | + | 1.26805i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 5.76486 | + | 17.7424i | 0.188330 | + | 0.579619i | 0.999990 | − | 0.00451068i | \(-0.00143580\pi\) |
−0.811660 | + | 0.584130i | \(0.801436\pi\) | |||||||
\(938\) | −1.63557 | − | 1.18831i | −0.0534032 | − | 0.0387997i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −9.42153 | + | 28.9965i | −0.307296 | + | 0.945761i | ||||
\(941\) | −10.0408 | + | 30.9023i | −0.327320 | + | 1.00739i | 0.643063 | + | 0.765814i | \(0.277663\pi\) |
−0.970383 | + | 0.241574i | \(0.922337\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 10.3646 | + | 7.53029i | 0.337516 | + | 0.245220i | ||||
\(944\) | 12.3551 | + | 38.0250i | 0.402123 | + | 1.23761i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.580329 | + | 0.728681i | −0.0188681 | + | 0.0236915i | ||||
\(947\) | −3.84273 | −0.124872 | −0.0624360 | − | 0.998049i | \(-0.519887\pi\) | ||||
−0.0624360 | + | 0.998049i | \(0.519887\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 12.6072 | + | 9.15968i | 0.409247 | + | 0.297336i | ||||
\(950\) | 0.874704 | − | 0.635510i | 0.0283792 | − | 0.0206187i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −6.07643 | + | 18.7013i | −0.196938 | + | 0.606114i | ||||
\(953\) | −15.4434 | + | 11.2203i | −0.500262 | + | 0.363461i | −0.809117 | − | 0.587648i | \(-0.800054\pi\) |
0.308855 | + | 0.951109i | \(0.400054\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −14.0134 | − | 43.1289i | −0.453464 | − | 1.39562i | ||||
\(956\) | 49.0154 | 1.58527 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −6.63302 | −0.214303 | ||||||||
\(959\) | −1.37108 | − | 4.21975i | −0.0442745 | − | 0.136263i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 5.93476 | − | 4.31185i | 0.191444 | − | 0.139092i | ||||
\(962\) | 2.62793 | − | 8.08795i | 0.0847280 | − | 0.260766i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −4.62879 | + | 3.36302i | −0.149083 | + | 0.108315i | ||||
\(965\) | 48.2973 | + | 35.0901i | 1.55475 | + | 1.12959i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 26.5627 | 0.854198 | 0.427099 | − | 0.904205i | \(-0.359536\pi\) | ||||
0.427099 | + | 0.904205i | \(0.359536\pi\) | |||||||
\(968\) | −10.5434 | + | 6.31801i | −0.338878 | + | 0.203069i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.76927 | − | 5.44526i | −0.0568079 | − | 0.174837i | ||||
\(971\) | 41.3472 | + | 30.0405i | 1.32689 | + | 0.964045i | 0.999819 | + | 0.0190472i | \(0.00606329\pi\) |
0.327076 | + | 0.944998i | \(0.393937\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.63134 | + | 11.1761i | −0.116415 | + | 0.358290i | ||||
\(974\) | 0.0238619 | − | 0.0734393i | 0.000764584 | − | 0.00235315i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 24.5032 | + | 17.8026i | 0.784328 | + | 0.569847i | ||||
\(977\) | −6.54331 | − | 20.1382i | −0.209339 | − | 0.644279i | −0.999507 | − | 0.0313890i | \(-0.990007\pi\) |
0.790168 | − | 0.612890i | \(-0.209993\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 16.9402 | + | 25.6271i | 0.541412 | + | 0.819046i | ||||
\(980\) | −49.8521 | −1.59247 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0.970410 | + | 0.705044i | 0.0309670 | + | 0.0224989i | ||||
\(983\) | −41.1267 | + | 29.8803i | −1.31174 | + | 0.953034i | −0.311743 | + | 0.950166i | \(0.600913\pi\) |
−0.999996 | + | 0.00286753i | \(0.999087\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 15.2549 | − | 46.9496i | 0.486060 | − | 1.49594i | ||||
\(986\) | 3.54136 | − | 2.57295i | 0.112780 | − | 0.0819394i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 3.70412 | + | 11.4001i | 0.117844 | + | 0.362686i | ||||
\(989\) | −1.83625 | −0.0583895 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −13.1480 | −0.417662 | −0.208831 | − | 0.977952i | \(-0.566966\pi\) | ||||
−0.208831 | + | 0.977952i | \(0.566966\pi\) | |||||||
\(992\) | −4.86777 | − | 14.9815i | −0.154552 | − | 0.475662i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −5.39503 | + | 3.91972i | −0.171120 | + | 0.124326i | ||||
\(995\) | −21.0063 | + | 64.6507i | −0.665944 | + | 2.04957i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 30.1024 | − | 21.8707i | 0.953354 | − | 0.692652i | 0.00175626 | − | 0.999998i | \(-0.499441\pi\) |
0.951598 | + | 0.307346i | \(0.0994410\pi\) | |||||||
\(998\) | 3.54437 | + | 2.57514i | 0.112195 | + | 0.0815146i | ||||
\(999\) | 0 | 0 |
(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 | 891.2.f.f.82.5 | 36 | ||
3.2 | odd | 2 | 891.2.f.e.82.5 | 36 | |||
9.2 | odd | 6 | 297.2.n.b.280.5 | 72 | |||
9.4 | even | 3 | 99.2.m.b.16.5 | ✓ | 72 | ||
9.5 | odd | 6 | 297.2.n.b.181.5 | 72 | |||
9.7 | even | 3 | 99.2.m.b.49.5 | yes | 72 | ||
11.3 | even | 5 | 9801.2.a.cm.1.10 | 18 | |||
11.8 | odd | 10 | 9801.2.a.co.1.9 | 18 | |||
11.9 | even | 5 | inner | 891.2.f.f.163.5 | 36 | ||
33.8 | even | 10 | 9801.2.a.cn.1.10 | 18 | |||
33.14 | odd | 10 | 9801.2.a.cp.1.9 | 18 | |||
33.20 | odd | 10 | 891.2.f.e.163.5 | 36 | |||
99.20 | odd | 30 | 297.2.n.b.64.5 | 72 | |||
99.25 | even | 15 | 1089.2.e.p.364.9 | 36 | |||
99.31 | even | 15 | 99.2.m.b.97.5 | yes | 72 | ||
99.52 | odd | 30 | 1089.2.e.o.364.10 | 36 | |||
99.58 | even | 15 | 1089.2.e.p.727.9 | 36 | |||
99.85 | odd | 30 | 1089.2.e.o.727.10 | 36 | |||
99.86 | odd | 30 | 297.2.n.b.262.5 | 72 | |||
99.97 | even | 15 | 99.2.m.b.31.5 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.m.b.16.5 | ✓ | 72 | 9.4 | even | 3 | ||
99.2.m.b.31.5 | yes | 72 | 99.97 | even | 15 | ||
99.2.m.b.49.5 | yes | 72 | 9.7 | even | 3 | ||
99.2.m.b.97.5 | yes | 72 | 99.31 | even | 15 | ||
297.2.n.b.64.5 | 72 | 99.20 | odd | 30 | |||
297.2.n.b.181.5 | 72 | 9.5 | odd | 6 | |||
297.2.n.b.262.5 | 72 | 99.86 | odd | 30 | |||
297.2.n.b.280.5 | 72 | 9.2 | odd | 6 | |||
891.2.f.e.82.5 | 36 | 3.2 | odd | 2 | |||
891.2.f.e.163.5 | 36 | 33.20 | odd | 10 | |||
891.2.f.f.82.5 | 36 | 1.1 | even | 1 | trivial | ||
891.2.f.f.163.5 | 36 | 11.9 | even | 5 | inner | ||
1089.2.e.o.364.10 | 36 | 99.52 | odd | 30 | |||
1089.2.e.o.727.10 | 36 | 99.85 | odd | 30 | |||
1089.2.e.p.364.9 | 36 | 99.25 | even | 15 | |||
1089.2.e.p.727.9 | 36 | 99.58 | even | 15 | |||
9801.2.a.cm.1.10 | 18 | 11.3 | even | 5 | |||
9801.2.a.cn.1.10 | 18 | 33.8 | even | 10 | |||
9801.2.a.co.1.9 | 18 | 11.8 | odd | 10 | |||
9801.2.a.cp.1.9 | 18 | 33.14 | odd | 10 |