Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [39,4,Mod(2,39)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(39, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("39.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 39 = 3 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 39.k (of order \(12\), 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: | \(2.30107449022\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Character | \(\chi\) | \(=\) | 39.11 |
Dual form | 39.4.k.a.32.2 |
$q$-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 \(\left(\mathbb{Z}/39\mathbb{Z}\right)^\times\).
\(n\) | \(14\) | \(28\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.88819 | − | 1.04184i | −1.37468 | − | 0.368345i | −0.505496 | − | 0.862829i | \(-0.668690\pi\) |
−0.869187 | + | 0.494484i | \(0.835357\pi\) | |||||||
\(3\) | −4.68804 | − | 2.24104i | −0.902214 | − | 0.431289i | ||||
\(4\) | 7.10439 | + | 4.10172i | 0.888049 | + | 0.512715i | ||||
\(5\) | 0.168873 | − | 0.168873i | 0.0151044 | − | 0.0151044i | −0.699514 | − | 0.714619i | \(-0.746600\pi\) |
0.714619 | + | 0.699514i | \(0.246600\pi\) | |||||||
\(6\) | 15.8932 | + | 13.5978i | 1.08139 | + | 0.925211i | ||||
\(7\) | 5.26279 | + | 19.6410i | 0.284164 | + | 1.06051i | 0.949448 | + | 0.313924i | \(0.101644\pi\) |
−0.665284 | + | 0.746590i | \(0.731690\pi\) | |||||||
\(8\) | −0.579067 | − | 0.579067i | −0.0255914 | − | 0.0255914i | ||||
\(9\) | 16.9555 | + | 21.0122i | 0.627980 | + | 0.778230i | ||||
\(10\) | −0.832548 | + | 0.480672i | −0.0263275 | + | 0.0152002i | ||||
\(11\) | 3.80862 | − | 14.2140i | 0.104395 | − | 0.389607i | −0.893881 | − | 0.448304i | \(-0.852028\pi\) |
0.998276 | + | 0.0586975i | \(0.0186947\pi\) | |||||||
\(12\) | −24.1135 | − | 35.1503i | −0.580081 | − | 0.845584i | ||||
\(13\) | −27.1218 | + | 38.2284i | −0.578634 | + | 0.815587i | ||||
\(14\) | − | 81.8509i | − | 1.56254i | ||||||
\(15\) | −1.17013 | + | 0.413232i | −0.0201418 | + | 0.00711306i | ||||
\(16\) | −31.1655 | − | 53.9803i | −0.486962 | − | 0.843442i | ||||
\(17\) | −40.6399 | + | 70.3904i | −0.579802 | + | 1.00425i | 0.415700 | + | 0.909502i | \(0.363537\pi\) |
−0.995502 | + | 0.0947440i | \(0.969797\pi\) | |||||||
\(18\) | −44.0347 | − | 99.3642i | −0.576616 | − | 1.30113i | ||||
\(19\) | 41.2307 | − | 11.0477i | 0.497841 | − | 0.133396i | −0.00115701 | − | 0.999999i | \(-0.500368\pi\) |
0.498998 | + | 0.866603i | \(0.333702\pi\) | |||||||
\(20\) | 1.89241 | − | 0.507069i | 0.0211578 | − | 0.00566921i | ||||
\(21\) | 19.3441 | − | 103.872i | 0.201011 | − | 1.07937i | ||||
\(22\) | −29.6173 | + | 51.2987i | −0.287020 | + | 0.497132i | ||||
\(23\) | 65.0715 | + | 112.707i | 0.589928 | + | 1.02179i | 0.994241 | + | 0.107165i | \(0.0341772\pi\) |
−0.404313 | + | 0.914621i | \(0.632489\pi\) | |||||||
\(24\) | 1.41698 | + | 4.01240i | 0.0120516 | + | 0.0341262i | ||||
\(25\) | 124.943i | 0.999544i | ||||||||
\(26\) | 145.282 | − | 120.383i | 1.09586 | − | 0.908037i | ||||
\(27\) | −32.3986 | − | 136.504i | −0.230930 | − | 0.972970i | ||||
\(28\) | −43.1730 | + | 161.124i | −0.291390 | + | 1.08748i | ||||
\(29\) | −138.170 | + | 79.7727i | −0.884744 | + | 0.510807i | −0.872220 | − | 0.489114i | \(-0.837320\pi\) |
−0.0125246 | + | 0.999922i | \(0.503987\pi\) | |||||||
\(30\) | 4.98022 | − | 0.387633i | 0.0303087 | − | 0.00235906i | ||||
\(31\) | −9.94310 | − | 9.94310i | −0.0576076 | − | 0.0576076i | 0.677716 | − | 0.735324i | \(-0.262970\pi\) |
−0.735324 | + | 0.677716i | \(0.762970\pi\) | |||||||
\(32\) | 66.6345 | + | 248.683i | 0.368107 | + | 1.37379i | ||||
\(33\) | −49.7091 | + | 58.1004i | −0.262220 | + | 0.306484i | ||||
\(34\) | 231.351 | − | 231.351i | 1.16695 | − | 1.16695i | ||||
\(35\) | 4.20558 | + | 2.42809i | 0.0203106 | + | 0.0117263i | ||||
\(36\) | 34.2720 | + | 218.825i | 0.158667 | + | 1.01308i | ||||
\(37\) | 315.375 | + | 84.5044i | 1.40128 | + | 0.375471i | 0.878804 | − | 0.477183i | \(-0.158342\pi\) |
0.522475 | + | 0.852655i | \(0.325009\pi\) | |||||||
\(38\) | −171.823 | −0.733509 | ||||||||
\(39\) | 212.820 | − | 118.435i | 0.873805 | − | 0.486276i | ||||
\(40\) | −0.195577 | −0.000773087 | ||||||||
\(41\) | −53.2336 | − | 14.2639i | −0.202773 | − | 0.0543328i | 0.156003 | − | 0.987757i | \(-0.450139\pi\) |
−0.358776 | + | 0.933424i | \(0.616806\pi\) | |||||||
\(42\) | −183.431 | + | 383.721i | −0.673907 | + | 1.40975i | ||||
\(43\) | −434.660 | − | 250.951i | −1.54151 | − | 0.889992i | −0.998744 | − | 0.0501088i | \(-0.984043\pi\) |
−0.542767 | − | 0.839883i | \(-0.682623\pi\) | |||||||
\(44\) | 85.3597 | − | 85.3597i | 0.292465 | − | 0.292465i | ||||
\(45\) | 6.41171 | + | 0.685074i | 0.0212400 | + | 0.00226944i | ||||
\(46\) | −135.588 | − | 506.021i | −0.434594 | − | 1.62193i | ||||
\(47\) | −325.007 | − | 325.007i | −1.00866 | − | 1.00866i | −0.999962 | − | 0.00870149i | \(-0.997230\pi\) |
−0.00870149 | − | 0.999962i | \(-0.502770\pi\) | |||||||
\(48\) | 25.1332 | + | 322.905i | 0.0755763 | + | 0.970986i | ||||
\(49\) | −61.0255 | + | 35.2331i | −0.177917 | + | 0.102720i | ||||
\(50\) | 130.170 | − | 485.802i | 0.368177 | − | 1.37406i | ||||
\(51\) | 348.269 | − | 238.917i | 0.956225 | − | 0.655983i | ||||
\(52\) | −349.486 | + | 160.343i | −0.932019 | + | 0.427607i | ||||
\(53\) | 158.038i | 0.409590i | 0.978805 | + | 0.204795i | \(0.0656527\pi\) | ||||
−0.978805 | + | 0.204795i | \(0.934347\pi\) | |||||||
\(54\) | −16.2429 | + | 564.507i | −0.0409328 | + | 1.42259i | ||||
\(55\) | −1.75718 | − | 3.04353i | −0.00430797 | − | 0.00746162i | ||||
\(56\) | 8.32595 | − | 14.4210i | 0.0198679 | − | 0.0344122i | ||||
\(57\) | −218.050 | − | 40.6075i | −0.506691 | − | 0.0943614i | ||||
\(58\) | 620.343 | − | 166.220i | 1.40440 | − | 0.376307i | ||||
\(59\) | 809.095 | − | 216.796i | 1.78534 | − | 0.478381i | 0.793802 | − | 0.608177i | \(-0.208099\pi\) |
0.991541 | + | 0.129796i | \(0.0414321\pi\) | |||||||
\(60\) | −10.0080 | − | 1.86381i | −0.0215339 | − | 0.00401027i | ||||
\(61\) | −282.499 | + | 489.302i | −0.592955 | + | 1.02703i | 0.400877 | + | 0.916132i | \(0.368705\pi\) |
−0.993832 | + | 0.110896i | \(0.964628\pi\) | |||||||
\(62\) | 28.3016 | + | 49.0198i | 0.0579726 | + | 0.100412i | ||||
\(63\) | −323.468 | + | 443.605i | −0.646875 | + | 0.887127i | ||||
\(64\) | − | 537.701i | − | 1.05020i | ||||||
\(65\) | 1.87559 | + | 11.0359i | 0.00357906 | + | 0.0210589i | ||||
\(66\) | 253.810 | − | 174.117i | 0.473361 | − | 0.324731i | ||||
\(67\) | 69.0305 | − | 257.625i | 0.125872 | − | 0.469760i | −0.873997 | − | 0.485931i | \(-0.838481\pi\) |
0.999869 | + | 0.0161705i | \(0.00514746\pi\) | |||||||
\(68\) | −577.443 | + | 333.387i | −1.02978 | + | 0.594546i | ||||
\(69\) | −52.4763 | − | 674.204i | −0.0915566 | − | 1.17630i | ||||
\(70\) | −13.8224 | − | 13.8224i | −0.0236013 | − | 0.0236013i | ||||
\(71\) | 169.929 | + | 634.184i | 0.284041 | + | 1.06005i | 0.949538 | + | 0.313653i | \(0.101553\pi\) |
−0.665497 | + | 0.746401i | \(0.731780\pi\) | |||||||
\(72\) | 2.34912 | − | 21.9858i | 0.00384510 | − | 0.0359868i | ||||
\(73\) | −219.160 | + | 219.160i | −0.351381 | + | 0.351381i | −0.860623 | − | 0.509242i | \(-0.829926\pi\) |
0.509242 | + | 0.860623i | \(0.329926\pi\) | |||||||
\(74\) | −1138.20 | − | 657.138i | −1.78801 | − | 1.03231i | ||||
\(75\) | 280.003 | − | 585.738i | 0.431092 | − | 0.901802i | ||||
\(76\) | 338.234 | + | 90.6294i | 0.510501 | + | 0.136788i | ||||
\(77\) | 299.221 | 0.442849 | ||||||||
\(78\) | −950.873 | + | 238.774i | −1.38032 | + | 0.346613i | ||||
\(79\) | 345.196 | 0.491615 | 0.245808 | − | 0.969319i | \(-0.420947\pi\) | ||||
0.245808 | + | 0.969319i | \(0.420947\pi\) | |||||||
\(80\) | −14.3788 | − | 3.85279i | −0.0200950 | − | 0.00538444i | ||||
\(81\) | −154.025 | + | 712.543i | −0.211283 | + | 0.977425i | ||||
\(82\) | 192.122 | + | 110.921i | 0.258735 | + | 0.149381i | ||||
\(83\) | −462.285 | + | 462.285i | −0.611354 | + | 0.611354i | −0.943299 | − | 0.331945i | \(-0.892295\pi\) |
0.331945 | + | 0.943299i | \(0.392295\pi\) | |||||||
\(84\) | 563.482 | − | 658.603i | 0.731916 | − | 0.855470i | ||||
\(85\) | 5.02405 | + | 18.7500i | 0.00641100 | + | 0.0239262i | ||||
\(86\) | 1428.59 | + | 1428.59i | 1.79126 | + | 1.79126i | ||||
\(87\) | 826.522 | − | 64.3320i | 1.01853 | − | 0.0792771i | ||||
\(88\) | −10.4363 | + | 6.02539i | −0.0126422 | + | 0.00729897i | ||||
\(89\) | 124.106 | − | 463.170i | 0.147811 | − | 0.551640i | −0.851803 | − | 0.523863i | \(-0.824491\pi\) |
0.999614 | − | 0.0277769i | \(-0.00884281\pi\) | |||||||
\(90\) | −24.2162 | − | 9.34365i | −0.0283623 | − | 0.0109434i | ||||
\(91\) | −893.580 | − | 331.512i | −1.02937 | − | 0.381889i | ||||
\(92\) | 1067.62i | 1.20986i | ||||||||
\(93\) | 24.3308 | + | 68.8966i | 0.0271288 | + | 0.0768198i | ||||
\(94\) | 925.085 | + | 1602.29i | 1.01506 | + | 1.75813i | ||||
\(95\) | 5.09708 | − | 8.82841i | 0.00550474 | − | 0.00953448i | ||||
\(96\) | 244.925 | − | 1315.17i | 0.260391 | − | 1.39822i | ||||
\(97\) | 92.2881 | − | 24.7285i | 0.0966025 | − | 0.0258845i | −0.210194 | − | 0.977660i | \(-0.567410\pi\) |
0.306796 | + | 0.951775i | \(0.400743\pi\) | |||||||
\(98\) | 273.986 | − | 73.4143i | 0.282416 | − | 0.0756731i | ||||
\(99\) | 363.244 | − | 160.977i | 0.368761 | − | 0.163422i | ||||
\(100\) | −512.481 | + | 887.643i | −0.512481 | + | 0.887643i | ||||
\(101\) | −525.597 | − | 910.360i | −0.517810 | − | 0.896873i | −0.999786 | − | 0.0206888i | \(-0.993414\pi\) |
0.481976 | − | 0.876184i | \(-0.339919\pi\) | |||||||
\(102\) | −1603.05 | + | 566.116i | −1.55613 | + | 0.549547i | ||||
\(103\) | 949.364i | 0.908190i | 0.890953 | + | 0.454095i | \(0.150037\pi\) | ||||
−0.890953 | + | 0.454095i | \(0.849963\pi\) | |||||||
\(104\) | 37.8421 | − | 6.43142i | 0.0356800 | − | 0.00606397i | ||||
\(105\) | −14.2745 | − | 20.8079i | −0.0132671 | − | 0.0193394i | ||||
\(106\) | 164.650 | − | 614.484i | 0.150870 | − | 0.563056i | ||||
\(107\) | 1846.53 | − | 1066.09i | 1.66833 | − | 0.963208i | 0.699785 | − | 0.714354i | \(-0.253279\pi\) |
0.968541 | − | 0.248854i | \(-0.0800541\pi\) | |||||||
\(108\) | 329.729 | − | 1102.67i | 0.293779 | − | 0.982446i | ||||
\(109\) | −210.157 | − | 210.157i | −0.184673 | − | 0.184673i | 0.608716 | − | 0.793389i | \(-0.291685\pi\) |
−0.793389 | + | 0.608716i | \(0.791685\pi\) | |||||||
\(110\) | 3.66139 | + | 13.6645i | 0.00317364 | + | 0.0118442i | ||||
\(111\) | −1289.11 | − | 1102.93i | −1.10232 | − | 0.943111i | ||||
\(112\) | 896.210 | − | 896.210i | 0.756106 | − | 0.756106i | ||||
\(113\) | −1677.53 | − | 968.523i | −1.39654 | − | 0.806292i | −0.402510 | − | 0.915415i | \(-0.631862\pi\) |
−0.994028 | + | 0.109123i | \(0.965196\pi\) | |||||||
\(114\) | 805.512 | + | 385.062i | 0.661782 | + | 0.316354i | ||||
\(115\) | 30.0220 | + | 8.04437i | 0.0243440 | + | 0.00652297i | ||||
\(116\) | −1308.82 | −1.04759 | ||||||||
\(117\) | −1263.12 | + | 78.2901i | −0.998085 | + | 0.0618626i | ||||
\(118\) | −3371.78 | −2.63049 | ||||||||
\(119\) | −1596.42 | − | 427.759i | −1.22978 | − | 0.329518i | ||||
\(120\) | 0.916874 | + | 0.438297i | 0.000697490 | + | 0.000333424i | ||||
\(121\) | 965.148 | + | 557.229i | 0.725130 | + | 0.418654i | ||||
\(122\) | 1608.18 | − | 1608.18i | 1.19342 | − | 1.19342i | ||||
\(123\) | 217.595 | + | 186.168i | 0.159511 | + | 0.136473i | ||||
\(124\) | −29.8558 | − | 111.424i | −0.0216220 | − | 0.0806946i | ||||
\(125\) | 42.2086 | + | 42.2086i | 0.0302020 | + | 0.0302020i | ||||
\(126\) | 1719.87 | − | 1387.82i | 1.21602 | − | 0.981245i | ||||
\(127\) | 485.927 | − | 280.550i | 0.339520 | − | 0.196022i | −0.320540 | − | 0.947235i | \(-0.603864\pi\) |
0.660060 | + | 0.751213i | \(0.270531\pi\) | |||||||
\(128\) | −27.1212 | + | 101.218i | −0.0187281 | + | 0.0698943i | ||||
\(129\) | 1475.31 | + | 2150.56i | 1.00693 | + | 1.46780i | ||||
\(130\) | 4.20492 | − | 44.8636i | 0.00283689 | − | 0.0302677i | ||||
\(131\) | 220.873i | 0.147311i | 0.997284 | + | 0.0736556i | \(0.0234665\pi\) | ||||
−0.997284 | + | 0.0736556i | \(0.976533\pi\) | |||||||
\(132\) | −591.465 | + | 208.875i | −0.390003 | + | 0.137729i | ||||
\(133\) | 433.977 | + | 751.671i | 0.282937 | + | 0.490061i | ||||
\(134\) | −536.807 | + | 929.777i | −0.346068 | + | 0.599407i | ||||
\(135\) | −28.5231 | − | 17.5806i | −0.0181843 | − | 0.0112081i | ||||
\(136\) | 64.2940 | − | 17.2275i | 0.0405380 | − | 0.0108621i | ||||
\(137\) | 965.173 | − | 258.617i | 0.601900 | − | 0.161279i | 0.0550139 | − | 0.998486i | \(-0.482480\pi\) |
0.546886 | + | 0.837207i | \(0.315813\pi\) | |||||||
\(138\) | −498.372 | + | 2676.10i | −0.307422 | + | 1.65076i | ||||
\(139\) | −13.4271 | + | 23.2564i | −0.00819332 | + | 0.0141912i | −0.870093 | − | 0.492888i | \(-0.835941\pi\) |
0.861900 | + | 0.507079i | \(0.169275\pi\) | |||||||
\(140\) | 19.9187 | + | 34.5002i | 0.0120246 | + | 0.0208271i | ||||
\(141\) | 795.292 | + | 2252.00i | 0.475005 | + | 1.34506i | ||||
\(142\) | − | 2642.87i | − | 1.56186i | ||||||
\(143\) | 440.080 | + | 531.106i | 0.257352 | + | 0.310583i | ||||
\(144\) | 605.819 | − | 1570.12i | 0.350590 | − | 0.908633i | ||||
\(145\) | −9.86178 | + | 36.8047i | −0.00564811 | + | 0.0210790i | ||||
\(146\) | 1080.47 | − | 623.808i | 0.612466 | − | 0.353607i | ||||
\(147\) | 365.049 | − | 28.4134i | 0.204821 | − | 0.0159422i | ||||
\(148\) | 1893.93 | + | 1893.93i | 1.05189 | + | 1.05189i | ||||
\(149\) | 746.971 | + | 2787.74i | 0.410700 | + | 1.53275i | 0.793295 | + | 0.608837i | \(0.208364\pi\) |
−0.382595 | + | 0.923916i | \(0.624970\pi\) | |||||||
\(150\) | −1698.95 | + | 1985.74i | −0.924789 | + | 1.08090i | ||||
\(151\) | −46.2904 | + | 46.2904i | −0.0249474 | + | 0.0249474i | −0.719470 | − | 0.694523i | \(-0.755615\pi\) |
0.694523 | + | 0.719470i | \(0.255615\pi\) | |||||||
\(152\) | −30.2727 | − | 17.4780i | −0.0161542 | − | 0.00932664i | ||||
\(153\) | −2168.13 | + | 339.567i | −1.14564 | + | 0.179427i | ||||
\(154\) | −1163.43 | − | 311.739i | −0.608777 | − | 0.163121i | ||||
\(155\) | −3.35824 | −0.00174026 | ||||||||
\(156\) | 1997.74 | + | 31.5186i | 1.02530 | + | 0.0161763i | ||||
\(157\) | 1472.54 | 0.748544 | 0.374272 | − | 0.927319i | \(-0.377893\pi\) | ||||
0.374272 | + | 0.927319i | \(0.377893\pi\) | |||||||
\(158\) | −1342.19 | − | 359.638i | −0.675815 | − | 0.181084i | ||||
\(159\) | 354.171 | − | 740.891i | 0.176651 | − | 0.369538i | ||||
\(160\) | 53.2486 | + | 30.7431i | 0.0263104 | + | 0.0151903i | ||||
\(161\) | −1871.22 | + | 1871.22i | −0.915982 | + | 0.915982i | ||||
\(162\) | 1341.23 | − | 2610.03i | 0.650476 | − | 1.26582i | ||||
\(163\) | 168.197 | + | 627.720i | 0.0808234 | + | 0.301637i | 0.994491 | − | 0.104826i | \(-0.0334286\pi\) |
−0.913667 | + | 0.406463i | \(0.866762\pi\) | |||||||
\(164\) | −319.685 | − | 319.685i | −0.152215 | − | 0.152215i | ||||
\(165\) | 1.41706 | + | 18.2061i | 0.000668596 | + | 0.00858996i | ||||
\(166\) | 2279.08 | − | 1315.83i | 1.06561 | − | 0.615229i | ||||
\(167\) | 128.205 | − | 478.469i | 0.0594062 | − | 0.221707i | −0.929841 | − | 0.367962i | \(-0.880056\pi\) |
0.989247 | + | 0.146256i | \(0.0467222\pi\) | |||||||
\(168\) | −71.3504 | + | 48.9473i | −0.0327667 | + | 0.0224784i | ||||
\(169\) | −725.814 | − | 2073.64i | −0.330366 | − | 0.943853i | ||||
\(170\) | − | 78.1378i | − | 0.0352523i | ||||||
\(171\) | 931.223 | + | 679.028i | 0.416447 | + | 0.303664i | ||||
\(172\) | −2058.66 | − | 3565.71i | −0.912625 | − | 1.58071i | ||||
\(173\) | −70.5317 | + | 122.164i | −0.0309967 | + | 0.0536878i | −0.881108 | − | 0.472916i | \(-0.843201\pi\) |
0.850111 | + | 0.526604i | \(0.176535\pi\) | |||||||
\(174\) | −3280.70 | − | 610.967i | −1.42936 | − | 0.266191i | ||||
\(175\) | −2454.01 | + | 657.549i | −1.06003 | + | 0.284034i | ||||
\(176\) | −885.973 | + | 237.396i | −0.379447 | + | 0.101673i | ||||
\(177\) | −4278.92 | − | 796.866i | −1.81708 | − | 0.338396i | ||||
\(178\) | −965.095 | + | 1671.59i | −0.406387 | + | 0.703884i | ||||
\(179\) | 400.368 | + | 693.459i | 0.167178 | + | 0.289562i | 0.937427 | − | 0.348183i | \(-0.113201\pi\) |
−0.770248 | + | 0.637744i | \(0.779868\pi\) | |||||||
\(180\) | 42.7413 | + | 31.1661i | 0.0176986 | + | 0.0129054i | ||||
\(181\) | − | 2493.61i | − | 1.02402i | −0.858978 | − | 0.512012i | \(-0.828900\pi\) | ||
0.858978 | − | 0.512012i | \(-0.171100\pi\) | |||||||
\(182\) | 3129.03 | + | 2219.95i | 1.27439 | + | 0.904139i | ||||
\(183\) | 2420.91 | − | 1660.78i | 0.977917 | − | 0.670864i | ||||
\(184\) | 27.5842 | − | 102.946i | 0.0110518 | − | 0.0412460i | ||||
\(185\) | 67.5288 | − | 38.9877i | 0.0268368 | − | 0.0154942i | ||||
\(186\) | −22.8236 | − | 293.232i | −0.00899734 | − | 0.115596i | ||||
\(187\) | 845.745 | + | 845.745i | 0.330733 | + | 0.330733i | ||||
\(188\) | −975.889 | − | 3642.07i | −0.378585 | − | 1.41290i | ||||
\(189\) | 2510.57 | − | 1354.73i | 0.966227 | − | 0.521388i | ||||
\(190\) | −29.0162 | + | 29.0162i | −0.0110792 | + | 0.0110792i | ||||
\(191\) | 2024.58 | + | 1168.89i | 0.766981 | + | 0.442817i | 0.831797 | − | 0.555080i | \(-0.187313\pi\) |
−0.0648155 | + | 0.997897i | \(0.520646\pi\) | |||||||
\(192\) | −1205.01 | + | 2520.76i | −0.452938 | + | 0.947503i | ||||
\(193\) | 1801.58 | + | 482.731i | 0.671918 | + | 0.180040i | 0.578619 | − | 0.815598i | \(-0.303592\pi\) |
0.0932996 | + | 0.995638i | \(0.470259\pi\) | |||||||
\(194\) | −384.597 | −0.142332 | ||||||||
\(195\) | 15.9390 | − | 55.9399i | 0.00585341 | − | 0.0205433i | ||||
\(196\) | −578.065 | −0.210665 | ||||||||
\(197\) | 2625.87 | + | 703.601i | 0.949674 | + | 0.254464i | 0.700224 | − | 0.713923i | \(-0.253083\pi\) |
0.249450 | + | 0.968388i | \(0.419750\pi\) | |||||||
\(198\) | −1580.07 | + | 247.468i | −0.567126 | + | 0.0888221i | ||||
\(199\) | −1937.82 | − | 1118.80i | −0.690294 | − | 0.398541i | 0.113428 | − | 0.993546i | \(-0.463817\pi\) |
−0.803722 | + | 0.595005i | \(0.797150\pi\) | |||||||
\(200\) | 72.3503 | − | 72.3503i | 0.0255797 | − | 0.0255797i | ||||
\(201\) | −900.967 | + | 1053.06i | −0.316166 | + | 0.369537i | ||||
\(202\) | 1095.17 | + | 4087.24i | 0.381466 | + | 1.42365i | ||||
\(203\) | −2293.98 | − | 2293.98i | −0.793131 | − | 0.793131i | ||||
\(204\) | 3454.21 | − | 268.857i | 1.18551 | − | 0.0922734i | ||||
\(205\) | −11.3985 | + | 6.58092i | −0.00388344 | + | 0.00224210i | ||||
\(206\) | 989.082 | − | 3691.31i | 0.334527 | − | 1.24847i | ||||
\(207\) | −1264.91 | + | 3278.30i | −0.424721 | + | 1.10076i | ||||
\(208\) | 2908.84 | + | 272.637i | 0.969673 | + | 0.0908844i | ||||
\(209\) | − | 628.129i | − | 0.207888i | ||||||
\(210\) | 33.8234 | + | 95.7766i | 0.0111145 | + | 0.0314724i | ||||
\(211\) | −1994.68 | − | 3454.88i | −0.650802 | − | 1.12722i | −0.982929 | − | 0.183988i | \(-0.941099\pi\) |
0.332126 | − | 0.943235i | \(-0.392234\pi\) | |||||||
\(212\) | −648.230 | + | 1122.77i | −0.210003 | + | 0.363736i | ||||
\(213\) | 624.599 | − | 3353.90i | 0.200924 | − | 1.07890i | ||||
\(214\) | −8290.36 | + | 2221.39i | −2.64821 | + | 0.709586i | ||||
\(215\) | −115.781 | + | 31.0234i | −0.0367265 | + | 0.00984084i | ||||
\(216\) | −60.2839 | + | 97.8059i | −0.0189898 | + | 0.0308095i | ||||
\(217\) | 142.964 | − | 247.621i | 0.0447237 | − | 0.0774637i | ||||
\(218\) | 598.180 | + | 1036.08i | 0.185843 | + | 0.321890i | ||||
\(219\) | 1518.58 | − | 536.285i | 0.468567 | − | 0.165474i | ||||
\(220\) | − | 28.8299i | − | 0.00883505i | ||||||
\(221\) | −1588.68 | − | 3462.71i | −0.483558 | − | 1.05397i | ||||
\(222\) | 3863.24 | + | 5631.44i | 1.16794 | + | 1.70251i | ||||
\(223\) | 446.796 | − | 1667.47i | 0.134169 | − | 0.500726i | −0.865831 | − | 0.500337i | \(-0.833210\pi\) |
1.00000 | 0.000388870i | \(-0.000123781\pi\) | ||||||||
\(224\) | −4533.71 | + | 2617.54i | −1.35233 | + | 0.780766i | ||||
\(225\) | −2625.33 | + | 2118.46i | −0.777874 | + | 0.627693i | ||||
\(226\) | 5513.52 | + | 5513.52i | 1.62280 | + | 1.62280i | ||||
\(227\) | −391.162 | − | 1459.84i | −0.114372 | − | 0.426840i | 0.884868 | − | 0.465843i | \(-0.154249\pi\) |
−0.999239 | + | 0.0390023i | \(0.987582\pi\) | |||||||
\(228\) | −1382.55 | − | 1182.87i | −0.401586 | − | 0.343586i | ||||
\(229\) | 4111.45 | − | 4111.45i | 1.18643 | − | 1.18643i | 0.208382 | − | 0.978047i | \(-0.433180\pi\) |
0.978047 | − | 0.208382i | \(-0.0668198\pi\) | |||||||
\(230\) | −108.350 | − | 62.5560i | −0.0310626 | − | 0.0179340i | ||||
\(231\) | −1402.76 | − | 670.567i | −0.399545 | − | 0.190996i | ||||
\(232\) | 126.204 | + | 33.8161i | 0.0357141 | + | 0.00956956i | ||||
\(233\) | −1103.08 | −0.310151 | −0.155076 | − | 0.987903i | \(-0.549562\pi\) | ||||
−0.155076 | + | 0.987903i | \(0.549562\pi\) | |||||||
\(234\) | 4992.83 | + | 1011.56i | 1.39484 | + | 0.282598i | ||||
\(235\) | −109.770 | −0.0304706 | ||||||||
\(236\) | 6637.36 | + | 1778.48i | 1.83074 | + | 0.490546i | ||||
\(237\) | −1618.29 | − | 773.599i | −0.443542 | − | 0.212028i | ||||
\(238\) | 5761.52 | + | 3326.41i | 1.56918 | + | 0.905964i | ||||
\(239\) | −2903.88 | + | 2903.88i | −0.785926 | + | 0.785926i | −0.980824 | − | 0.194897i | \(-0.937563\pi\) |
0.194897 | + | 0.980824i | \(0.437563\pi\) | |||||||
\(240\) | 58.7742 | + | 50.2856i | 0.0158077 | + | 0.0135247i | ||||
\(241\) | −23.5746 | − | 87.9817i | −0.00630114 | − | 0.0235162i | 0.962704 | − | 0.270558i | \(-0.0872082\pi\) |
−0.969005 | + | 0.247042i | \(0.920542\pi\) | |||||||
\(242\) | −3172.14 | − | 3172.14i | −0.842615 | − | 0.842615i | ||||
\(243\) | 2318.91 | − | 2995.25i | 0.612175 | − | 0.790723i | ||||
\(244\) | −4013.96 | + | 2317.46i | −1.05314 | + | 0.608034i | ||||
\(245\) | −4.35564 | + | 16.2555i | −0.00113580 | + | 0.00423887i | ||||
\(246\) | −652.094 | − | 950.557i | −0.169008 | − | 0.246363i | ||||
\(247\) | −695.915 | + | 1875.82i | −0.179271 | + | 0.483220i | ||||
\(248\) | 11.5154i | 0.00294851i | ||||||||
\(249\) | 3203.21 | − | 1131.21i | 0.815243 | − | 0.287902i | ||||
\(250\) | −120.140 | − | 208.089i | −0.0303934 | − | 0.0526429i | ||||
\(251\) | −1218.86 | + | 2111.13i | −0.306510 | + | 0.530890i | −0.977596 | − | 0.210489i | \(-0.932495\pi\) |
0.671087 | + | 0.741379i | \(0.265828\pi\) | |||||||
\(252\) | −4117.58 | + | 1824.77i | −1.02930 | + | 0.456149i | ||||
\(253\) | 1849.85 | − | 495.666i | 0.459680 | − | 0.123171i | ||||
\(254\) | −2181.66 | + | 584.575i | −0.538936 | + | 0.144408i | ||||
\(255\) | 18.4666 | − | 99.1599i | 0.00453500 | − | 0.0243515i | ||||
\(256\) | −1939.90 | + | 3360.00i | −0.473608 | + | 0.820313i | ||||
\(257\) | −645.973 | − | 1118.86i | −0.156789 | − | 0.271566i | 0.776920 | − | 0.629599i | \(-0.216781\pi\) |
−0.933709 | + | 0.358033i | \(0.883448\pi\) | |||||||
\(258\) | −3495.76 | − | 9898.81i | −0.843551 | − | 2.38866i | ||||
\(259\) | 6639.01i | 1.59277i | ||||||||
\(260\) | −31.9411 | + | 86.0963i | −0.00761886 | + | 0.0205364i | ||||
\(261\) | −4018.94 | − | 1550.68i | −0.953127 | − | 0.367757i | ||||
\(262\) | 230.114 | − | 858.796i | 0.0542613 | − | 0.202506i | ||||
\(263\) | 2811.83 | − | 1623.41i | 0.659258 | − | 0.380623i | −0.132736 | − | 0.991151i | \(-0.542376\pi\) |
0.791994 | + | 0.610528i | \(0.209043\pi\) | |||||||
\(264\) | 62.4289 | − | 4.85913i | 0.0145539 | − | 0.00113280i | ||||
\(265\) | 26.6884 | + | 26.6884i | 0.00618663 | + | 0.00618663i | ||||
\(266\) | −904.267 | − | 3374.77i | −0.208437 | − | 0.777897i | ||||
\(267\) | −1619.80 | + | 1893.23i | −0.371273 | + | 0.433947i | ||||
\(268\) | 1547.13 | − | 1547.13i | 0.352633 | − | 0.352633i | ||||
\(269\) | 6119.64 | + | 3533.18i | 1.38707 | + | 0.800824i | 0.992984 | − | 0.118250i | \(-0.0377286\pi\) |
0.394084 | + | 0.919074i | \(0.371062\pi\) | |||||||
\(270\) | 92.5870 | + | 98.0729i | 0.0208691 | + | 0.0221057i | ||||
\(271\) | 3050.26 | + | 817.314i | 0.683727 | + | 0.183204i | 0.583930 | − | 0.811804i | \(-0.301514\pi\) |
0.0997966 | + | 0.995008i | \(0.468181\pi\) | |||||||
\(272\) | 5066.26 | 1.12936 | ||||||||
\(273\) | 3446.21 | + | 3556.69i | 0.764007 | + | 0.788501i | ||||
\(274\) | −4022.21 | −0.886828 | ||||||||
\(275\) | 1775.94 | + | 475.861i | 0.389429 | + | 0.104347i | ||||
\(276\) | 2392.58 | − | 5005.05i | 0.521799 | − | 1.09155i | ||||
\(277\) | −456.489 | − | 263.554i | −0.0990172 | − | 0.0571676i | 0.449674 | − | 0.893193i | \(-0.351540\pi\) |
−0.548691 | + | 0.836025i | \(0.684874\pi\) | |||||||
\(278\) | 76.4365 | − | 76.4365i | 0.0164905 | − | 0.0164905i | ||||
\(279\) | 40.3366 | − | 377.516i | 0.00865552 | − | 0.0810083i | ||||
\(280\) | −1.02928 | − | 3.84134i | −0.000219684 | − | 0.000819870i | ||||
\(281\) | 3536.43 | + | 3536.43i | 0.750768 | + | 0.750768i | 0.974623 | − | 0.223855i | \(-0.0718641\pi\) |
−0.223855 | + | 0.974623i | \(0.571864\pi\) | |||||||
\(282\) | −746.027 | − | 9584.78i | −0.157536 | − | 2.02399i | ||||
\(283\) | −4323.54 | + | 2496.20i | −0.908155 | + | 0.524324i | −0.879837 | − | 0.475275i | \(-0.842348\pi\) |
−0.0283181 | + | 0.999599i | \(0.509015\pi\) | |||||||
\(284\) | −1394.00 | + | 5202.49i | −0.291264 | + | 1.08701i | ||||
\(285\) | −43.6802 | + | 29.9652i | −0.00907856 | + | 0.00622801i | ||||
\(286\) | −1157.79 | − | 2523.53i | −0.239376 | − | 0.521747i | ||||
\(287\) | − | 1120.63i | − | 0.230483i | ||||||
\(288\) | −4095.56 | + | 5616.67i | −0.837963 | + | 1.14919i | ||||
\(289\) | −846.705 | − | 1466.54i | −0.172340 | − | 0.298501i | ||||
\(290\) | 76.6889 | − | 132.829i | 0.0155287 | − | 0.0268965i | ||||
\(291\) | −488.068 | − | 90.8933i | −0.0983198 | − | 0.0183102i | ||||
\(292\) | −2455.94 | + | 658.066i | −0.492201 | + | 0.131885i | ||||
\(293\) | −1182.70 | + | 316.904i | −0.235816 | + | 0.0631867i | −0.374792 | − | 0.927109i | \(-0.622286\pi\) |
0.138975 | + | 0.990296i | \(0.455619\pi\) | |||||||
\(294\) | −1448.98 | − | 269.845i | −0.287436 | − | 0.0535295i | ||||
\(295\) | 100.023 | − | 173.245i | 0.0197409 | − | 0.0341923i | ||||
\(296\) | −133.689 | − | 231.557i | −0.0262518 | − | 0.0454695i | ||||
\(297\) | −2063.66 | − | 59.3787i | −0.403184 | − | 0.0116010i | ||||
\(298\) | − | 11617.5i | − | 2.25833i | ||||||
\(299\) | −6073.47 | − | 569.246i | −1.17471 | − | 0.110102i | ||||
\(300\) | 4391.78 | − | 3012.82i | 0.845198 | − | 0.579817i | ||||
\(301\) | 2641.40 | − | 9857.86i | 0.505807 | − | 1.88770i | ||||
\(302\) | 228.213 | − | 131.759i | 0.0434841 | − | 0.0251055i | ||||
\(303\) | 423.863 | + | 5445.69i | 0.0803640 | + | 1.03250i | ||||
\(304\) | −1881.34 | − | 1881.34i | −0.354941 | − | 0.354941i | ||||
\(305\) | 34.9235 | + | 130.336i | 0.00655643 | + | 0.0244689i | ||||
\(306\) | 8783.86 | + | 938.532i | 1.64098 | + | 0.175334i | ||||
\(307\) | −6778.32 | + | 6778.32i | −1.26013 | + | 1.26013i | −0.309096 | + | 0.951031i | \(0.600027\pi\) |
−0.951031 | + | 0.309096i | \(0.899973\pi\) | |||||||
\(308\) | 2125.78 | + | 1227.32i | 0.393272 | + | 0.227055i | ||||
\(309\) | 2127.56 | − | 4450.66i | 0.391692 | − | 0.819382i | ||||
\(310\) | 13.0575 | + | 3.49874i | 0.00239231 | + | 0.000641016i | ||||
\(311\) | −5222.30 | −0.952185 | −0.476093 | − | 0.879395i | \(-0.657947\pi\) | ||||
−0.476093 | + | 0.879395i | \(0.657947\pi\) | |||||||
\(312\) | −191.818 | − | 54.6550i | −0.0348064 | − | 0.00991740i | ||||
\(313\) | −660.267 | −0.119235 | −0.0596174 | − | 0.998221i | \(-0.518988\pi\) | ||||
−0.0596174 | + | 0.998221i | \(0.518988\pi\) | |||||||
\(314\) | −5725.51 | − | 1534.15i | −1.02901 | − | 0.275723i | ||||
\(315\) | 20.2879 | + | 129.538i | 0.00362888 | + | 0.0231702i | ||||
\(316\) | 2452.41 | + | 1415.90i | 0.436578 | + | 0.252058i | ||||
\(317\) | 4981.10 | − | 4981.10i | 0.882543 | − | 0.882543i | −0.111249 | − | 0.993793i | \(-0.535485\pi\) |
0.993793 | + | 0.111249i | \(0.0354852\pi\) | |||||||
\(318\) | −2148.97 | + | 2511.74i | −0.378957 | + | 0.442928i | ||||
\(319\) | 607.648 | + | 2267.77i | 0.106651 | + | 0.398028i | ||||
\(320\) | −90.8031 | − | 90.8031i | −0.0158626 | − | 0.0158626i | ||||
\(321\) | −11045.8 | + | 859.743i | −1.92061 | + | 0.149490i | ||||
\(322\) | 9225.18 | − | 5326.16i | 1.59658 | − | 0.921787i | ||||
\(323\) | −897.958 | + | 3351.22i | −0.154686 | + | 0.577298i | ||||
\(324\) | −4016.91 | + | 4430.41i | −0.688770 | + | 0.759673i | ||||
\(325\) | −4776.36 | − | 3388.68i | −0.815215 | − | 0.578370i | ||||
\(326\) | − | 2615.93i | − | 0.444426i | ||||||
\(327\) | 514.253 | + | 1456.19i | 0.0869671 | + | 0.246262i | ||||
\(328\) | 22.5660 | + | 39.0855i | 0.00379878 | + | 0.00657969i | ||||
\(329\) | 4673.03 | − | 8093.92i | 0.783077 | − | 1.35633i | ||||
\(330\) | 13.4580 | − | 72.2651i | 0.00224496 | − | 0.0120547i | ||||
\(331\) | 5976.57 | − | 1601.42i | 0.992452 | − | 0.265927i | 0.274172 | − | 0.961681i | \(-0.411596\pi\) |
0.718280 | + | 0.695754i | \(0.244930\pi\) | |||||||
\(332\) | −5180.42 | + | 1388.09i | −0.856363 | + | 0.229462i | ||||
\(333\) | 3571.70 | + | 8059.53i | 0.587772 | + | 1.32630i | ||||
\(334\) | −996.974 | + | 1726.81i | −0.163329 | + | 0.282895i | ||||
\(335\) | −31.8485 | − | 55.1633i | −0.00519424 | − | 0.00899669i | ||||
\(336\) | −6209.91 | + | 2193.02i | −1.00827 | + | 0.356069i | ||||
\(337\) | 6151.64i | 0.994365i | 0.867646 | + | 0.497183i | \(0.165632\pi\) | ||||
−0.867646 | + | 0.497183i | \(0.834368\pi\) | |||||||
\(338\) | 661.702 | + | 8818.90i | 0.106485 | + | 1.41919i | ||||
\(339\) | 5693.83 | + | 8299.90i | 0.912232 | + | 1.32976i | ||||
\(340\) | −41.2145 | + | 153.815i | −0.00657403 | + | 0.0245346i | ||||
\(341\) | −179.201 | + | 103.462i | −0.0284582 | + | 0.0164304i | ||||
\(342\) | −2913.33 | − | 3610.37i | −0.460629 | − | 0.570838i | ||||
\(343\) | 3918.55 | + | 3918.55i | 0.616857 | + | 0.616857i | ||||
\(344\) | 106.380 | + | 397.014i | 0.0166733 | + | 0.0622255i | ||||
\(345\) | −122.717 | − | 104.993i | −0.0191502 | − | 0.0163844i | ||||
\(346\) | 401.516 | − | 401.516i | 0.0623862 | − | 0.0623862i | ||||
\(347\) | 3758.67 | + | 2170.07i | 0.581486 | + | 0.335721i | 0.761724 | − | 0.647902i | \(-0.224353\pi\) |
−0.180238 | + | 0.983623i | \(0.557687\pi\) | |||||||
\(348\) | 6135.81 | + | 2933.12i | 0.945154 | + | 0.451816i | ||||
\(349\) | 7206.60 | + | 1931.00i | 1.10533 | + | 0.296172i | 0.764934 | − | 0.644109i | \(-0.222772\pi\) |
0.340397 | + | 0.940282i | \(0.389438\pi\) | |||||||
\(350\) | 10226.7 | 1.56183 | ||||||||
\(351\) | 6097.03 | + | 2463.69i | 0.927167 | + | 0.374649i | ||||
\(352\) | 3788.56 | 0.573668 | ||||||||
\(353\) | −10780.5 | − | 2888.62i | −1.62546 | − | 0.435540i | −0.672859 | − | 0.739770i | \(-0.734934\pi\) |
−0.952599 | + | 0.304230i | \(0.901601\pi\) | |||||||
\(354\) | 15807.0 | + | 7556.31i | 2.37326 | + | 1.13450i | ||||
\(355\) | 135.793 | + | 78.4001i | 0.0203018 | + | 0.0117213i | ||||
\(356\) | 2781.49 | − | 2781.49i | 0.414098 | − | 0.414098i | ||||
\(357\) | 6525.45 | + | 5582.99i | 0.967404 | + | 0.827684i | ||||
\(358\) | −834.238 | − | 3113.42i | −0.123159 | − | 0.459635i | ||||
\(359\) | 57.6459 | + | 57.6459i | 0.00847475 | + | 0.00847475i | 0.711331 | − | 0.702857i | \(-0.248092\pi\) |
−0.702857 | + | 0.711331i | \(0.748092\pi\) | |||||||
\(360\) | −3.31610 | − | 4.10951i | −0.000485483 | − | 0.000601639i | ||||
\(361\) | −4362.15 | + | 2518.49i | −0.635975 | + | 0.367180i | ||||
\(362\) | −2597.93 | + | 9695.62i | −0.377194 | + | 1.40771i | ||||
\(363\) | −3275.88 | − | 4775.25i | −0.473662 | − | 0.690456i | ||||
\(364\) | −4988.57 | − | 6020.40i | −0.718330 | − | 0.866909i | ||||
\(365\) | 74.0205i | 0.0106148i | ||||||||
\(366\) | −11143.2 | + | 3935.22i | −1.59144 | + | 0.562014i | ||||
\(367\) | 1667.56 | + | 2888.31i | 0.237183 | + | 0.410813i | 0.959905 | − | 0.280326i | \(-0.0904426\pi\) |
−0.722722 | + | 0.691139i | \(0.757109\pi\) | |||||||
\(368\) | 4055.98 | − | 7025.16i | 0.574545 | − | 0.995140i | ||||
\(369\) | −602.884 | − | 1360.40i | −0.0850538 | − | 0.191924i | ||||
\(370\) | −303.183 | + | 81.2378i | −0.0425993 | + | 0.0114145i | ||||
\(371\) | −3104.03 | + | 831.724i | −0.434376 | + | 0.116391i | ||||
\(372\) | −109.739 | + | 589.266i | −0.0152950 | + | 0.0821291i | ||||
\(373\) | 2060.79 | − | 3569.39i | 0.286068 | − | 0.495485i | −0.686799 | − | 0.726847i | \(-0.740985\pi\) |
0.972868 | + | 0.231362i | \(0.0743182\pi\) | |||||||
\(374\) | −2407.29 | − | 4169.55i | −0.332829 | − | 0.576476i | ||||
\(375\) | −103.284 | − | 292.467i | −0.0142229 | − | 0.0402745i | ||||
\(376\) | 376.402i | 0.0516262i | ||||||||
\(377\) | 697.852 | − | 7445.60i | 0.0953348 | − | 1.01716i | ||||
\(378\) | −11173.0 | + | 2651.86i | −1.52031 | + | 0.360838i | ||||
\(379\) | −456.507 | + | 1703.71i | −0.0618712 | + | 0.230906i | −0.989937 | − | 0.141510i | \(-0.954804\pi\) |
0.928066 | + | 0.372417i | \(0.121471\pi\) | |||||||
\(380\) | 72.4233 | − | 41.8136i | 0.00977694 | − | 0.00564472i | ||||
\(381\) | −2906.77 | + | 226.247i | −0.390862 | + | 0.0304226i | ||||
\(382\) | −6654.15 | − | 6654.15i | −0.891246 | − | 0.891246i | ||||
\(383\) | −2292.10 | − | 8554.24i | −0.305799 | − | 1.14126i | −0.932256 | − | 0.361800i | \(-0.882162\pi\) |
0.626457 | − | 0.779456i | \(-0.284504\pi\) | |||||||
\(384\) | 353.979 | − | 413.733i | 0.0470414 | − | 0.0549824i | ||||
\(385\) | 50.5303 | − | 50.5303i | 0.00668899 | − | 0.00668899i | ||||
\(386\) | −6501.94 | − | 3753.90i | −0.857358 | − | 0.494996i | ||||
\(387\) | −2096.82 | − | 13388.1i | −0.275420 | − | 1.75855i | ||||
\(388\) | 757.080 | + | 202.859i | 0.0990591 | + | 0.0265428i | ||||
\(389\) | −5315.56 | −0.692827 | −0.346414 | − | 0.938082i | \(-0.612601\pi\) | ||||
−0.346414 | + | 0.938082i | \(0.612601\pi\) | |||||||
\(390\) | −120.254 | + | 200.899i | −0.0156136 | + | 0.0260844i | ||||
\(391\) | −10578.0 | −1.36816 | ||||||||
\(392\) | 55.7401 | + | 14.9355i | 0.00718189 | + | 0.00192438i | ||||
\(393\) | 494.986 | − | 1035.46i | 0.0635337 | − | 0.132906i | ||||
\(394\) | −9476.86 | − | 5471.47i | −1.21177 | − | 0.699615i | ||||
\(395\) | 58.2942 | − | 58.2942i | 0.00742557 | − | 0.00742557i | ||||
\(396\) | 3240.91 | + | 346.282i | 0.411267 | + | 0.0439428i | ||||
\(397\) | −3129.78 | − | 11680.5i | −0.395665 | − | 1.47664i | −0.820644 | − | 0.571439i | \(-0.806385\pi\) |
0.424979 | − | 0.905203i | \(-0.360281\pi\) | |||||||
\(398\) | 6369.00 | + | 6369.00i | 0.802134 | + | 0.802134i | ||||
\(399\) | −349.977 | − | 4496.42i | −0.0439117 | − | 0.564167i | ||||
\(400\) | 6744.46 | − | 3893.91i | 0.843057 | − | 0.486739i | ||||
\(401\) | −3126.14 | + | 11666.9i | −0.389307 | + | 1.45291i | 0.441957 | + | 0.897036i | \(0.354284\pi\) |
−0.831264 | + | 0.555877i | \(0.812382\pi\) | |||||||
\(402\) | 4600.24 | − | 3155.83i | 0.570744 | − | 0.391538i | ||||
\(403\) | 649.784 | − | 110.433i | 0.0803177 | − | 0.0136503i | ||||
\(404\) | − | 8623.40i | − | 1.06196i | ||||||
\(405\) | 94.3185 | + | 146.340i | 0.0115722 | + | 0.0179548i | ||||
\(406\) | 6529.47 | + | 11309.4i | 0.798158 | + | 1.38245i | ||||
\(407\) | 2402.29 | − | 4160.89i | 0.292572 | − | 0.506750i | ||||
\(408\) | −340.020 | − | 63.3222i | −0.0412586 | − | 0.00768362i | ||||
\(409\) | 4313.36 | − | 1155.76i | 0.521472 | − | 0.139728i | 0.0115245 | − | 0.999934i | \(-0.496332\pi\) |
0.509947 | + | 0.860206i | \(0.329665\pi\) | |||||||
\(410\) | 51.1757 | − | 13.7125i | 0.00616436 | − | 0.00165174i | ||||
\(411\) | −5104.35 | − | 950.586i | −0.612600 | − | 0.114085i | ||||
\(412\) | −3894.02 | + | 6744.65i | −0.465643 | + | 0.806517i | ||||
\(413\) | 8516.20 | + | 14750.5i | 1.01466 | + | 1.75744i | ||||
\(414\) | 8333.65 | − | 11428.8i | 0.989316 | − | 1.35675i | ||||
\(415\) | 156.135i | 0.0184683i | ||||||||
\(416\) | −11314.0 | − | 4197.41i | −1.33345 | − | 0.494700i | ||||
\(417\) | 115.065 | − | 78.9363i | 0.0135127 | − | 0.00926985i | ||||
\(418\) | −654.408 | + | 2442.28i | −0.0765745 | + | 0.285780i | ||||
\(419\) | 7800.08 | − | 4503.38i | 0.909448 | − | 0.525070i | 0.0291946 | − | 0.999574i | \(-0.490706\pi\) |
0.880254 | + | 0.474504i | \(0.157372\pi\) | |||||||
\(420\) | −16.0633 | − | 206.377i | −0.00186621 | − | 0.0239766i | ||||
\(421\) | 8458.36 | + | 8458.36i | 0.979182 | + | 0.979182i | 0.999788 | − | 0.0206061i | \(-0.00655958\pi\) |
−0.0206061 | + | 0.999788i | \(0.506560\pi\) | |||||||
\(422\) | 4156.26 | + | 15511.4i | 0.479440 | + | 1.78929i | ||||
\(423\) | 1318.47 | − | 12339.8i | 0.151551 | − | 1.41839i | ||||
\(424\) | 91.5148 | − | 91.5148i | 0.0104820 | − | 0.0104820i | ||||
\(425\) | −8794.78 | − | 5077.67i | −1.00379 | − | 0.579537i | ||||
\(426\) | −5922.78 | + | 12389.9i | −0.673614 | + | 1.40913i | ||||
\(427\) | −11097.1 | − | 2973.46i | −1.25767 | − | 0.336993i | ||||
\(428\) | 17491.3 | 1.97541 | ||||||||
\(429\) | −872.882 | − | 3476.09i | −0.0982357 | − | 0.391205i | ||||
\(430\) | 482.500 | 0.0541121 | ||||||||
\(431\) | 12010.8 | + | 3218.28i | 1.34232 | + | 0.359673i | 0.857293 | − | 0.514828i | \(-0.172144\pi\) |
0.485024 | + | 0.874501i | \(0.338811\pi\) | |||||||
\(432\) | −6358.80 | + | 6003.11i | −0.708190 | + | 0.668576i | ||||
\(433\) | 2039.26 | + | 1177.37i | 0.226329 | + | 0.130671i | 0.608877 | − | 0.793264i | \(-0.291620\pi\) |
−0.382548 | + | 0.923935i | \(0.624953\pi\) | |||||||
\(434\) | −813.852 | + | 813.852i | −0.0900142 | + | 0.0900142i | ||||
\(435\) | 128.713 | − | 150.441i | 0.0141870 | − | 0.0165818i | ||||
\(436\) | −631.030 | − | 2355.04i | −0.0693139 | − | 0.258683i | ||||
\(437\) | 3928.10 | + | 3928.10i | 0.429992 | + | 0.429992i | ||||
\(438\) | −6463.25 | + | 503.064i | −0.705082 | + | 0.0548798i | ||||
\(439\) | −8253.71 | + | 4765.28i | −0.897330 | + | 0.518074i | −0.876333 | − | 0.481706i | \(-0.840017\pi\) |
−0.0209972 | + | 0.999780i | \(0.506684\pi\) | |||||||
\(440\) | −0.744880 | + | 2.77993i | −8.07063e−5 | + | 0.000301200i | ||||
\(441\) | −1775.04 | − | 684.887i | −0.191668 | − | 0.0739538i | ||||
\(442\) | 2569.51 | + | 15118.8i | 0.276514 | + | 1.62699i | ||||
\(443\) | 7193.92i | 0.771543i | 0.922594 | + | 0.385771i | \(0.126065\pi\) | ||||
−0.922594 | + | 0.385771i | \(0.873935\pi\) | |||||||
\(444\) | −4634.45 | − | 13123.2i | −0.495363 | − | 1.40270i | ||||
\(445\) | −57.2587 | − | 99.1750i | −0.00609960 | − | 0.0105648i | ||||
\(446\) | −3474.46 | + | 6017.94i | −0.368880 | + | 0.638918i | ||||
\(447\) | 2745.60 | − | 14743.0i | 0.290520 | − | 1.56000i | ||||
\(448\) | 10561.0 | − | 2829.81i | 1.11375 | − | 0.298428i | ||||
\(449\) | 8794.46 | − | 2356.47i | 0.924357 | − | 0.247681i | 0.234910 | − | 0.972017i | \(-0.424520\pi\) |
0.689447 | + | 0.724336i | \(0.257854\pi\) | |||||||
\(450\) | 12414.9 | − | 5501.83i | 1.30054 | − | 0.576353i | ||||
\(451\) | −405.493 | + | 702.335i | −0.0423369 | + | 0.0733296i | ||||
\(452\) | −7945.22 | − | 13761.5i | −0.826796 | − | 1.43205i | ||||
\(453\) | 320.750 | − | 113.273i | 0.0332675 | − | 0.0117484i | ||||
\(454\) | 6083.65i | 0.628898i | ||||||||
\(455\) | −206.885 | + | 94.9180i | −0.0213163 | + | 0.00977984i | ||||
\(456\) | 102.751 | + | 149.780i | 0.0105521 | + | 0.0153818i | ||||
\(457\) | −4467.07 | + | 16671.3i | −0.457244 | + | 1.70646i | 0.224160 | + | 0.974552i | \(0.428036\pi\) |
−0.681405 | + | 0.731907i | \(0.738631\pi\) | |||||||
\(458\) | −20269.6 | + | 11702.6i | −2.06798 | + | 1.19395i | ||||
\(459\) | 10925.2 | + | 3266.96i | 1.11100 | + | 0.332219i | ||||
\(460\) | 180.292 | + | 180.292i | 0.0182743 | + | 0.0182743i | ||||
\(461\) | −456.163 | − | 1702.42i | −0.0460860 | − | 0.171995i | 0.939047 | − | 0.343789i | \(-0.111710\pi\) |
−0.985133 | + | 0.171794i | \(0.945044\pi\) | |||||||
\(462\) | 4755.57 | + | 4068.74i | 0.478895 | + | 0.409729i | ||||
\(463\) | 6582.77 | − | 6582.77i | 0.660750 | − | 0.660750i | −0.294807 | − | 0.955557i | \(-0.595255\pi\) |
0.955557 | + | 0.294807i | \(0.0952553\pi\) | |||||||
\(464\) | 8612.31 | + | 4972.32i | 0.861673 | + | 0.497487i | ||||
\(465\) | 15.7436 | + | 7.52596i | 0.00157009 | + | 0.000750555i | ||||
\(466\) | 4288.99 | + | 1149.23i | 0.426359 | + | 0.114243i | ||||
\(467\) | −12402.4 | −1.22894 | −0.614469 | − | 0.788941i | \(-0.710630\pi\) | ||||
−0.614469 | + | 0.788941i | \(0.710630\pi\) | |||||||
\(468\) | −9294.85 | − | 4624.78i | −0.918066 | − | 0.456796i | ||||
\(469\) | 5423.31 | 0.533956 | ||||||||
\(470\) | 426.806 | + | 114.362i | 0.0418874 | + | 0.0112237i | ||||
\(471\) | −6903.32 | − | 3300.02i | −0.675347 | − | 0.322839i | ||||
\(472\) | −594.060 | − | 342.980i | −0.0579318 | − | 0.0334469i | ||||
\(473\) | −5222.47 | + | 5222.47i | −0.507673 | + | 0.507673i | ||||
\(474\) | 5486.27 | + | 4693.90i | 0.531630 | + | 0.454848i | ||||
\(475\) | 1380.34 | + | 5151.49i | 0.133335 | + | 0.497614i | ||||
\(476\) | −9587.02 | − | 9587.02i | −0.923152 | − | 0.923152i | ||||
\(477\) | −3320.74 | + | 2679.61i | −0.318755 | + | 0.257214i | ||||
\(478\) | 14316.2 | − | 8265.47i | 1.36989 | − | 0.790907i | ||||
\(479\) | 3031.38 | − | 11313.3i | 0.289160 | − | 1.07916i | −0.656586 | − | 0.754251i | \(-0.728000\pi\) |
0.945746 | − | 0.324907i | \(-0.105333\pi\) | |||||||
\(480\) | −180.735 | − | 263.457i | −0.0171862 | − | 0.0250523i | ||||
\(481\) | −11784.0 | + | 9764.35i | −1.11706 | + | 0.925605i | ||||
\(482\) | 366.650i | 0.0346483i | ||||||||
\(483\) | 12965.9 | − | 4578.88i | 1.22146 | − | 0.431359i | ||||
\(484\) | 4571.19 | + | 7917.54i | 0.429301 | + | 0.743570i | ||||
\(485\) | 11.4090 | − | 19.7609i | 0.00106815 | − | 0.00185010i | ||||
\(486\) | −12136.9 | + | 9230.18i | −1.13280 | + | 0.861501i | ||||
\(487\) | 7322.33 | − | 1962.01i | 0.681328 | − | 0.182561i | 0.0984756 | − | 0.995139i | \(-0.468603\pi\) |
0.582852 | + | 0.812578i | \(0.301937\pi\) | |||||||
\(488\) | 446.924 | − | 119.753i | 0.0414576 | − | 0.0111085i | ||||
\(489\) | 618.233 | − | 3319.71i | 0.0571727 | − | 0.306999i | ||||
\(490\) | 33.8711 | − | 58.6664i | 0.00312273 | − | 0.00540873i | ||||
\(491\) | 1760.43 | + | 3049.15i | 0.161806 | + | 0.280257i | 0.935517 | − | 0.353283i | \(-0.114935\pi\) |
−0.773710 | + | 0.633540i | \(0.781601\pi\) | |||||||
\(492\) | 782.270 | + | 2215.13i | 0.0716818 | + | 0.202979i | ||||
\(493\) | − | 12967.8i | − | 1.18467i | ||||||
\(494\) | 4660.14 | − | 6568.50i | 0.424433 | − | 0.598240i | ||||
\(495\) | 34.1574 | − | 88.5267i | 0.00310154 | − | 0.00803834i | ||||
\(496\) | −226.850 | + | 846.614i | −0.0205360 | + | 0.0766413i | ||||
\(497\) | −11561.7 | + | 6675.16i | −1.04349 | + | 0.602459i | ||||
\(498\) | −13633.2 | + | 1061.14i | −1.22675 | + | 0.0954833i | ||||
\(499\) | −13333.9 | − | 13333.9i | −1.19621 | − | 1.19621i | −0.975294 | − | 0.220913i | \(-0.929096\pi\) |
−0.220913 | − | 0.975294i | \(-0.570904\pi\) | |||||||
\(500\) | 126.738 | + | 472.994i | 0.0113358 | + | 0.0423059i | ||||
\(501\) | −1673.30 | + | 1955.77i | −0.149217 | + | 0.174406i | ||||
\(502\) | 6938.63 | − | 6938.63i | 0.616904 | − | 0.616904i | ||||
\(503\) | 12473.9 | + | 7201.80i | 1.10573 | + | 0.638394i | 0.937720 | − | 0.347391i | \(-0.112932\pi\) |
0.168011 | + | 0.985785i | \(0.446266\pi\) | |||||||
\(504\) | 444.186 | − | 69.5675i | 0.0392572 | − | 0.00614838i | ||||
\(505\) | −242.494 | − | 64.9761i | −0.0213680 | − | 0.00572554i | ||||
\(506\) | −7708.97 | −0.677283 | ||||||||
\(507\) | −1244.48 | + | 11347.9i | −0.109013 | + | 0.994040i | ||||
\(508\) | 4602.96 | 0.402014 | ||||||||
\(509\) | −1320.90 | − | 353.933i | −0.115025 | − | 0.0308208i | 0.200847 | − | 0.979623i | \(-0.435630\pi\) |
−0.315872 | + | 0.948802i | \(0.602297\pi\) | |||||||
\(510\) | −175.110 | + | 366.313i | −0.0152039 | + | 0.0318051i | ||||
\(511\) | −5457.93 | − | 3151.14i | −0.472494 | − | 0.272795i | ||||
\(512\) | 11636.0 | − | 11636.0i | 1.00439 | − | 1.00439i | ||||
\(513\) | −2843.88 | − | 5270.22i | −0.244757 | − | 0.453579i | ||||
\(514\) | 1346.00 | + | 5023.33i | 0.115505 | + | 0.431070i | ||||
\(515\) | 160.322 | + | 160.322i | 0.0137177 | + | 0.0137177i | ||||
\(516\) | 1660.19 | + | 21329.7i | 0.141639 | + | 1.81975i | ||||
\(517\) | −5857.48 | + | 3381.82i | −0.498282 | + | 0.287683i | ||||
\(518\) | 6916.77 | − | 25813.7i | 0.586690 | − | 2.18956i | ||||
\(519\) | 604.431 | − | 414.647i | 0.0511206 | − | 0.0350694i | ||||
\(520\) | 5.30441 | − | 7.47660i | 0.000447334 | − | 0.000630520i | ||||
\(521\) | − | 2324.66i | − | 0.195481i | −0.995212 | − | 0.0977403i | \(-0.968839\pi\) | ||
0.995212 | − | 0.0977403i | \(-0.0311615\pi\) | |||||||
\(522\) | 14010.8 | + | 10216.4i | 1.17479 | + | 0.856629i | ||||
\(523\) | −2396.69 | − | 4151.19i | −0.200382 | − | 0.347072i | 0.748269 | − | 0.663395i | \(-0.230885\pi\) |
−0.948652 | + | 0.316323i | \(0.897552\pi\) | |||||||
\(524\) | −905.959 | + | 1569.17i | −0.0755286 | + | 0.130819i | ||||
\(525\) | 12978.1 | + | 2416.92i | 1.07888 | + | 0.200920i | ||||
\(526\) | −12624.3 | + | 3382.66i | −1.04647 | + | 0.280401i | ||||
\(527\) | 1103.99 | − | 295.812i | 0.0912531 | − | 0.0244512i | ||||
\(528\) | 4685.49 | + | 872.582i | 0.386193 | + | 0.0719209i | ||||
\(529\) | −2385.10 | + | 4131.11i | −0.196030 | + | 0.339534i | ||||
\(530\) | −75.9646 | − | 131.575i | −0.00622583 | − | 0.0107835i | ||||
\(531\) | 18273.9 | + | 13325.0i | 1.49345 | + | 1.08899i | ||||
\(532\) | 7120.21i | 0.580264i | ||||||||
\(533\) | 1989.08 | − | 1648.17i | 0.161644 | − | 0.133940i | ||||
\(534\) | 8270.52 | − | 5673.68i | 0.670226 | − | 0.459783i | ||||
\(535\) | 131.794 | − | 491.863i | 0.0106504 | − | 0.0397479i | ||||
\(536\) | −189.155 | + | 109.209i | −0.0152430 | + | 0.00880057i | ||||
\(537\) | −322.874 | − | 4148.20i | −0.0259460 | − | 0.333349i | ||||
\(538\) | −20113.3 | − | 20113.3i | −1.61180 | − | 1.61180i | ||||
\(539\) | 268.379 | + | 1001.60i | 0.0214469 | + | 0.0800411i | ||||
\(540\) | −130.528 | − | 241.893i | −0.0104019 | − | 0.0192767i | ||||
\(541\) | 2875.04 | − | 2875.04i | 0.228480 | − | 0.228480i | −0.583578 | − | 0.812057i | \(-0.698348\pi\) |
0.812057 | + | 0.583578i | \(0.198348\pi\) | |||||||
\(542\) | −11008.5 | − | 6355.75i | −0.872425 | − | 0.503695i | ||||
\(543\) | −5588.28 | + | 11690.1i | −0.441650 | + | 0.923889i | ||||
\(544\) | −20212.9 | − | 5416.04i | −1.59306 | − | 0.426858i | ||||
\(545\) | −70.9795 | −0.00557877 | ||||||||
\(546\) | −9694.01 | − | 17419.5i | −0.759827 | − | 1.36536i | ||||
\(547\) | 14732.6 | 1.15159 | 0.575797 | − | 0.817592i | \(-0.304692\pi\) | ||||
0.575797 | + | 0.817592i | \(0.304692\pi\) | |||||||
\(548\) | 7917.74 | + | 2121.55i | 0.617207 | + | 0.165380i | ||||
\(549\) | −15071.2 | + | 2360.42i | −1.17163 | + | 0.183498i | ||||
\(550\) | −6409.41 | − | 3700.47i | −0.496906 | − | 0.286889i | ||||
\(551\) | −4815.55 | + | 4815.55i | −0.372322 | + | 0.372322i | ||||
\(552\) | −360.022 | + | 420.796i | −0.0277600 | + | 0.0324462i | ||||
\(553\) | 1816.70 | + | 6780.00i | 0.139699 | + | 0.521365i | ||||
\(554\) | 1500.33 | + | 1500.33i | 0.115060 | + | 0.115060i | ||||
\(555\) | −403.951 | + | 31.4413i | −0.0308951 | + | 0.00240470i | ||||
\(556\) | −190.783 | + | 110.148i | −0.0145521 | + | 0.00840168i | ||||
\(557\) | 3031.22 | − | 11312.7i | 0.230587 | − | 0.860563i | −0.749502 | − | 0.662003i | \(-0.769707\pi\) |
0.980089 | − | 0.198560i | \(-0.0636265\pi\) | |||||||
\(558\) | −550.147 | + | 1425.83i | −0.0417376 | + | 0.108172i | ||||
\(559\) | 21382.2 | − | 9810.08i | 1.61784 | − | 0.742258i | ||||
\(560\) | − | 302.691i | − | 0.0228411i | ||||||
\(561\) | −2069.54 | − | 5860.24i | −0.155750 | − | 0.441033i | ||||
\(562\) | −10065.9 | − | 17434.7i | −0.755526 | − | 1.30861i | ||||
\(563\) | 1194.96 | − | 2069.74i | 0.0894523 | − | 0.154936i | −0.817827 | − | 0.575464i | \(-0.804822\pi\) |
0.907280 | + | 0.420528i | \(0.138155\pi\) | |||||||
\(564\) | −3587.02 | + | 19261.2i | −0.267803 | + | 1.43802i | ||||
\(565\) | −446.847 | + | 119.732i | −0.0332725 | + | 0.00891535i | ||||
\(566\) | 19411.4 | − | 5201.27i | 1.44156 | − | 0.386264i | ||||
\(567\) | −14805.7 | + | 724.758i | −1.09661 | + | 0.0536807i | ||||
\(568\) | 268.835 | − | 465.635i | 0.0198593 | − | 0.0343972i | ||||
\(569\) | 6523.89 | + | 11299.7i | 0.480660 | + | 0.832528i | 0.999754 | − | 0.0221895i | \(-0.00706372\pi\) |
−0.519094 | + | 0.854717i | \(0.673730\pi\) | |||||||
\(570\) | 201.056 | − | 71.0026i | 0.0147742 | − | 0.00521749i | ||||
\(571\) | − | 6582.62i | − | 0.482442i | −0.970470 | − | 0.241221i | \(-0.922452\pi\) | ||
0.970470 | − | 0.241221i | \(-0.0775478\pi\) | |||||||
\(572\) | 948.051 | + | 5578.27i | 0.0693007 | + | 0.407761i | ||||
\(573\) | −6871.77 | − | 10017.0i | −0.500999 | − | 0.730306i | ||||
\(574\) | −1167.51 | + | 4357.22i | −0.0848973 | + | 0.316841i | ||||
\(575\) | −14082.0 | + | 8130.23i | −1.02132 | + | 0.589659i | ||||
\(576\) | 11298.3 | − | 9116.97i | 0.817295 | − | 0.659503i | ||||
\(577\) | 10318.4 | + | 10318.4i | 0.744472 | + | 0.744472i | 0.973435 | − | 0.228963i | \(-0.0735334\pi\) |
−0.228963 | + | 0.973435i | \(0.573533\pi\) | |||||||
\(578\) | 1764.26 | + | 6584.30i | 0.126961 | + | 0.473825i | ||||
\(579\) | −7364.04 | − | 6300.47i | −0.528565 | − | 0.452226i | ||||
\(580\) | −221.024 | + | 221.024i | −0.0158233 | + | 0.0158233i | ||||
\(581\) | −11512.7 | − | 6646.84i | −0.822075 | − | 0.474625i | ||||
\(582\) | 1803.01 | + | 861.898i | 0.128414 | + | 0.0613863i | ||||
\(583\) | 2246.36 | + | 601.909i | 0.159579 | + | 0.0427591i | ||||
\(584\) | 253.817 | 0.0179846 | ||||||||
\(585\) | −200.086 | + | 226.529i | −0.0141411 | + | 0.0160099i | ||||
\(586\) | 4928.73 | 0.347447 | ||||||||
\(587\) | −14297.6 | − | 3831.02i | −1.00532 | − | 0.269375i | −0.281649 | − | 0.959518i | \(-0.590881\pi\) |
−0.723674 | + | 0.690142i | \(0.757548\pi\) | |||||||
\(588\) | 2709.99 | + | 1295.47i | 0.190065 | + | 0.0908575i | ||||
\(589\) | −519.810 | − | 300.112i | −0.0363640 | − | 0.0209948i | ||||
\(590\) | −569.402 | + | 569.402i | −0.0397321 | + | 0.0397321i | ||||
\(591\) | −10733.4 | − | 9183.20i | −0.747061 | − | 0.639165i | ||||
\(592\) | −5267.25 | − | 19657.7i | −0.365680 | − | 1.36474i | ||||
\(593\) | −12887.5 | − | 12887.5i | −0.892454 | − | 0.892454i | 0.102300 | − | 0.994754i | \(-0.467380\pi\) |
−0.994754 | + | 0.102300i | \(0.967380\pi\) | |||||||
\(594\) | 7962.03 | + | 2380.87i | 0.549977 | + | 0.164458i | ||||
\(595\) | −341.828 | + | 197.355i | −0.0235523 | + | 0.0135979i | ||||
\(596\) | −6127.74 | + | 22869.0i | −0.421144 | + | 1.57173i | ||||
\(597\) | 6577.30 | + | 9587.72i | 0.450906 | + | 0.657285i | ||||
\(598\) | 23021.7 | + | 8540.90i | 1.57429 | + | 0.584052i | ||||
\(599\) | 12302.8i | 0.839196i | 0.907710 | + | 0.419598i | \(0.137829\pi\) | ||||
−0.907710 | + | 0.419598i | \(0.862171\pi\) | |||||||
\(600\) | −501.321 | + | 177.041i | −0.0341106 | + | 0.0120461i | ||||
\(601\) | 6533.42 | + | 11316.2i | 0.443434 | + | 0.768050i | 0.997942 | − | 0.0641288i | \(-0.0204268\pi\) |
−0.554508 | + | 0.832178i | \(0.687094\pi\) | |||||||
\(602\) | −20540.6 | + | 35577.3i | −1.39065 | + | 2.40868i | ||||
\(603\) | 6583.71 | − | 2917.67i | 0.444626 | − | 0.197043i | ||||
\(604\) | −518.736 | + | 138.995i | −0.0349454 | + | 0.00936360i | ||||
\(605\) | 257.088 | − | 68.8866i | 0.0172762 | − | 0.00462915i | ||||
\(606\) | 4025.46 | − | 21615.5i | 0.269840 | − | 1.44896i | ||||
\(607\) | 13161.2 | − | 22795.9i | 0.880062 | − | 1.52431i | 0.0287914 | − | 0.999585i | \(-0.490834\pi\) |
0.851271 | − | 0.524727i | \(-0.175833\pi\) | |||||||
\(608\) | 5494.77 | + | 9517.22i | 0.366517 | + | 0.634826i | ||||
\(609\) | 5613.36 | + | 15895.2i | 0.373505 | + | 1.05764i | ||||
\(610\) | − | 543.156i | − | 0.0360520i | ||||||
\(611\) | 21239.3 | − | 3609.71i | 1.40630 | − | 0.239007i | ||||
\(612\) | −16796.0 | − | 6480.63i | −1.10938 | − | 0.428045i | ||||
\(613\) | −2447.83 | + | 9135.42i | −0.161284 | + | 0.601919i | 0.837201 | + | 0.546895i | \(0.184190\pi\) |
−0.998485 | + | 0.0550239i | \(0.982476\pi\) | |||||||
\(614\) | 33417.3 | − | 19293.5i | 2.19644 | − | 1.26811i | ||||
\(615\) | 68.1847 | − | 5.30713i | 0.00447069 | − | 0.000347974i | ||||
\(616\) | −173.269 | − | 173.269i | −0.0113331 | − | 0.0113331i | ||||
\(617\) | 1447.88 | + | 5403.56i | 0.0944723 | + | 0.352575i | 0.996939 | − | 0.0781844i | \(-0.0249123\pi\) |
−0.902467 | + | 0.430760i | \(0.858246\pi\) | |||||||
\(618\) | −12909.2 | + | 15088.4i | −0.840268 | + | 0.982112i | ||||
\(619\) | −10903.5 | + | 10903.5i | −0.707997 | + | 0.707997i | −0.966114 | − | 0.258117i | \(-0.916898\pi\) |
0.258117 | + | 0.966114i | \(0.416898\pi\) | |||||||
\(620\) | −23.8582 | − | 13.7746i | −0.00154544 | − | 0.000892258i | ||||
\(621\) | 13276.7 | − | 12534.1i | 0.857934 | − | 0.809944i | ||||
\(622\) | 20305.3 | + | 5440.79i | 1.30895 | + | 0.350733i | ||||
\(623\) | 9750.27 | 0.627024 | ||||||||
\(624\) | −13025.8 | − | 7796.97i | −0.835655 | − | 0.500206i | ||||
\(625\) | −15603.6 | −0.998631 | ||||||||
\(626\) | 2567.24 | + | 687.890i | 0.163910 | + | 0.0439195i | ||||
\(627\) | −1407.66 | + | 2944.69i | −0.0896598 | + | 0.187559i | ||||
\(628\) | 10461.5 | + | 6039.95i | 0.664744 | + | 0.383790i | ||||
\(629\) | −18765.1 | + | 18765.1i | −1.18953 | + | 1.18953i | ||||
\(630\) | 56.0739 | − | 524.804i | 0.00354609 | − | 0.0331884i | ||||
\(631\) | 1462.38 | + | 5457.67i | 0.0922604 | + | 0.344320i | 0.996590 | − | 0.0825147i | \(-0.0262951\pi\) |
−0.904329 | + | 0.426835i | \(0.859628\pi\) | |||||||
\(632\) | −199.892 | − | 199.892i | −0.0125811 | − | 0.0125811i | ||||
\(633\) | 1608.59 | + | 20666.8i | 0.101004 | + | 1.29768i | ||||
\(634\) | −24556.9 | + | 14178.0i | −1.53830 | + | 0.888136i | ||||
\(635\) | 34.6826 | − | 129.437i | 0.00216746 | − | 0.00808907i | ||||
\(636\) | 5555.10 | − | 3810.87i | 0.346343 | − | 0.237595i | ||||
\(637\) | 308.219 | − | 3288.49i | 0.0191713 | − | 0.204544i | ||||
\(638\) | − | 9450.61i | − | 0.586447i | ||||||
\(639\) | −10444.4 | + | 14323.5i | −0.646594 | + | 0.886741i | ||||
\(640\) | 12.5129 | + | 21.6730i | 0.000772837 | + | 0.00133859i | ||||
\(641\) | 9845.30 | − | 17052.6i | 0.606655 | − | 1.05076i | −0.385132 | − | 0.922861i | \(-0.625844\pi\) |
0.991788 | − | 0.127896i | \(-0.0408224\pi\) | |||||||
\(642\) | 43843.8 | + | 8165.06i | 2.69529 | + | 0.501946i | ||||
\(643\) | 6241.69 | − | 1672.46i | 0.382812 | − | 0.102574i | −0.0622806 | − | 0.998059i | \(-0.519837\pi\) |
0.445093 | + | 0.895484i | \(0.353171\pi\) | |||||||
\(644\) | −20969.1 | + | 5618.66i | −1.28307 | + | 0.343799i | ||||
\(645\) | 612.311 | + | 114.031i | 0.0373794 | + | 0.00696119i | ||||
\(646\) | 6982.86 | − | 12094.7i | 0.425289 | − | 0.736623i | ||||
\(647\) | −6034.63 | − | 10452.3i | −0.366686 | − | 0.635119i | 0.622359 | − | 0.782732i | \(-0.286174\pi\) |
−0.989045 | + | 0.147613i | \(0.952841\pi\) | |||||||
\(648\) | 501.801 | − | 323.419i | 0.0304207 | − | 0.0196066i | ||||
\(649\) | − | 12326.2i | − | 0.745522i | ||||||
\(650\) | 15041.0 | + | 18152.0i | 0.907623 | + | 1.09536i | ||||
\(651\) | −1225.15 | + | 840.469i | −0.0737595 | + | 0.0506000i | ||||
\(652\) | −1379.80 | + | 5149.47i | −0.0828788 | + | 0.309308i | ||||
\(653\) | 24939.5 | − | 14398.8i | 1.49457 | − | 0.862893i | 0.494594 | − | 0.869124i | \(-0.335317\pi\) |
0.999981 | + | 0.00623134i | \(0.00198351\pi\) | |||||||
\(654\) | −482.397 | − | 6197.72i | −0.0288428 | − | 0.370566i | ||||
\(655\) | 37.2994 | + | 37.2994i | 0.00222505 | + | 0.00222505i | ||||
\(656\) | 889.084 | + | 3318.11i | 0.0529160 | + | 0.197485i | ||||
\(657\) | −8321.01 | − | 889.077i | −0.494115 | − | 0.0527948i | ||||
\(658\) | −26602.2 | + | 26602.2i | −1.57608 | + | 1.57608i | ||||
\(659\) | 684.556 | + | 395.229i | 0.0404651 | + | 0.0233626i | 0.520096 | − | 0.854108i | \(-0.325896\pi\) |
−0.479631 | + | 0.877470i | \(0.659229\pi\) | |||||||
\(660\) | −64.6090 | + | 135.156i | −0.00381046 | + | 0.00797110i | ||||
\(661\) | −7990.06 | − | 2140.93i | −0.470163 | − | 0.125980i | 0.0159557 | − | 0.999873i | \(-0.494921\pi\) |
−0.486118 | + | 0.873893i | \(0.661588\pi\) | |||||||
\(662\) | −24906.4 | −1.46226 | ||||||||
\(663\) | −312.287 | + | 19793.6i | −0.0182929 | + | 1.15946i | ||||
\(664\) | 535.388 | 0.0312908 | ||||||||
\(665\) | 200.224 | + | 53.6498i | 0.0116757 | + | 0.00312850i | ||||
\(666\) | −5490.73 | − | 35058.1i | −0.319462 | − | 2.03975i | ||||
\(667\) | −17981.9 | − | 10381.9i | −1.04387 | − | 0.602679i | ||||
\(668\) | 2873.37 | − | 2873.37i | 0.166428 | − | 0.166428i | ||||
\(669\) | −5831.46 | + | 6815.86i | −0.337007 | + | 0.393896i | ||||
\(670\) | 66.3620 | + | 247.666i | 0.00382655 | + | 0.0142809i | ||||
\(671\) | 5878.99 | + | 5878.99i | 0.338236 | + | 0.338236i | ||||
\(672\) | 27120.2 | − | 2110.89i | 1.55682 | − | 0.121175i | ||||
\(673\) | 9618.13 | − | 5553.03i | 0.550894 | − | 0.318059i | −0.198588 | − | 0.980083i | \(-0.563636\pi\) |
0.749483 | + | 0.662024i | \(0.230302\pi\) | |||||||
\(674\) | 6409.00 | − | 23918.7i | 0.366269 | − | 1.36694i | ||||
\(675\) | 17055.2 | − | 4047.98i | 0.972526 | − | 0.230825i | ||||
\(676\) | 3349.05 | − | 17709.1i | 0.190547 | − | 1.00757i | ||||
\(677\) | 6758.63i | 0.383685i | 0.981426 | + | 0.191843i | \(0.0614464\pi\) | ||||
−0.981426 | + | 0.191843i | \(0.938554\pi\) | |||||||
\(678\) | −13491.6 | − | 38203.6i | −0.764219 | − | 2.16401i | ||||
\(679\) | 971.386 | + | 1682.49i | 0.0549019 | + | 0.0950929i | ||||
\(680\) | 7.94824 | − | 13.7668i | 0.000448237 | − | 0.000776370i | ||||
\(681\) | −1437.77 | + | 7720.38i | −0.0809039 | + | 0.434428i | ||||
\(682\) | 804.556 | − | 215.580i | 0.0451731 | − | 0.0121041i | ||||
\(683\) | −4706.13 | + | 1261.00i | −0.263653 | + | 0.0706456i | −0.388224 | − | 0.921565i | \(-0.626911\pi\) |
0.124571 | + | 0.992211i | \(0.460245\pi\) | |||||||
\(684\) | 3830.58 | + | 8643.70i | 0.214132 | + | 0.483187i | ||||
\(685\) | 119.318 | − | 206.665i | 0.00665534 | − | 0.0115274i | ||||
\(686\) | −11153.6 | − | 19318.6i | −0.620766 | − | 1.07520i | ||||
\(687\) | −28488.6 | + | 10060.7i | −1.58211 | + | 0.558719i | ||||
\(688\) | 31284.1i | 1.73357i | ||||||||
\(689\) | −6041.55 | − | 4286.29i | −0.334056 | − | 0.237002i | ||||
\(690\) | 367.760 | + | 536.083i | 0.0202904 | + | 0.0295773i | ||||
\(691\) | 3542.29 | − | 13220.0i | 0.195015 | − | 0.727805i | −0.797248 | − | 0.603652i | \(-0.793712\pi\) |
0.992263 | − | 0.124154i | \(-0.0396216\pi\) | |||||||
\(692\) | −1002.17 | + | 578.602i | −0.0550531 | + | 0.0317849i | ||||
\(693\) | 5073.43 | + | 6287.29i | 0.278100 | + | 0.344638i | ||||
\(694\) | −12353.5 | − | 12353.5i | −0.675698 | − | 0.675698i | ||||
\(695\) | 1.65990 | + | 6.19485i | 9.05954e−5 | + | 0.000338106i | ||||
\(696\) | −515.864 | − | 441.359i | −0.0280945 | − | 0.0240369i | ||||
\(697\) | 3167.45 | − | 3167.45i | 0.172131 | − | 0.172131i | ||||
\(698\) | −26008.8 | − | 15016.2i | −1.41039 | − | 0.814286i | ||||
\(699\) | 5171.29 | + | 2472.05i | 0.279823 | + | 0.133765i | ||||
\(700\) | −20131.3 | − | 5394.16i | −1.08699 | − | 0.291257i | ||||
\(701\) | −6499.08 | −0.350167 | −0.175083 | − | 0.984554i | \(-0.556019\pi\) | ||||
−0.175083 | + | 0.984554i | \(0.556019\pi\) | |||||||
\(702\) | −21139.6 | − | 15931.4i | −1.13656 | − | 0.856541i | ||||
\(703\) | 13936.7 | 0.747700 | ||||||||
\(704\) | −7642.87 | − | 2047.90i | −0.409164 | − | 0.109635i | ||||
\(705\) | 514.605 | + | 245.999i | 0.0274910 | + | 0.0131416i | ||||
\(706\) | 38907.0 | + | 22463.0i | 2.07406 | + | 1.19746i | ||||
\(707\) | 15114.3 | − | 15114.3i | 0.804004 | − | 0.804004i | ||||
\(708\) | −27130.6 | − | 23212.2i | −1.44016 | − | 1.23216i | ||||
\(709\) | 6597.98 | + | 24624.0i | 0.349495 | + | 1.30433i | 0.887272 | + | 0.461247i | \(0.152598\pi\) |
−0.537776 | + | 0.843088i | \(0.680736\pi\) | |||||||
\(710\) | −446.309 | − | 446.309i | −0.0235911 | − | 0.0235911i | ||||
\(711\) | 5852.96 | + | 7253.33i | 0.308724 | + | 0.382589i | ||||
\(712\) | −340.072 | + | 196.341i | −0.0178999 | + | 0.0103345i | ||||
\(713\) | 473.646 | − | 1767.67i | 0.0248782 | − | 0.0928469i | ||||
\(714\) | −19555.6 | − | 28506.2i | −1.02500 | − | 1.49414i | ||||
\(715\) | 164.007 | + | 15.3719i | 0.00857834 | + | 0.000804021i | ||||
\(716\) | 6568.80i | 0.342860i | ||||||||
\(717\) | 20121.2 | − | 7105.79i | 1.04804 | − | 0.370112i | ||||
\(718\) | −164.081 | − | 284.196i | −0.00852846 | − | 0.0147717i | ||||
\(719\) | −3642.39 | + | 6308.81i | −0.188927 | + | 0.327231i | −0.944893 | − | 0.327380i | \(-0.893834\pi\) |
0.755966 | + | 0.654611i | \(0.227168\pi\) | |||||||
\(720\) | −162.844 | − | 367.457i | −0.00842893 | − | 0.0190199i | ||||
\(721\) | −18646.5 | + | 4996.30i | −0.963149 | + | 0.258075i | ||||
\(722\) | 19584.7 | − | 5247.71i | 1.00951 | − | 0.270498i | ||||
\(723\) | −86.6519 | + | 465.293i | −0.00445729 | + | 0.0239342i | ||||
\(724\) | 10228.1 | − | 17715.6i | 0.525033 | − | 0.909384i | ||||
\(725\) | −9967.03 | − | 17263.4i | −0.510574 | − | 0.884341i | ||||
\(726\) | 7762.22 | + | 21980.0i | 0.396808 | + | 1.12363i | ||||
\(727\) | 20887.3i | 1.06557i | 0.846251 | + | 0.532785i | \(0.178854\pi\) | ||||
−0.846251 | + | 0.532785i | \(0.821146\pi\) | |||||||
\(728\) | 325.475 | + | 709.410i | 0.0165699 | + | 0.0361160i | ||||
\(729\) | −17583.7 | + | 8845.08i | −0.893342 | + | 0.449377i | ||||
\(730\) | 77.1173 | − | 287.806i | 0.00390992 | − | 0.0145920i | ||||
\(731\) | 35329.1 | − | 20397.2i | 1.78754 | − | 1.03204i | ||||
\(732\) | 24011.1 | − | 1868.90i | 1.21240 | − | 0.0943666i | ||||
\(733\) | −4700.77 | − | 4700.77i | −0.236872 | − | 0.236872i | 0.578682 | − | 0.815553i | \(-0.303567\pi\) |
−0.815553 | + | 0.578682i | \(0.803567\pi\) | |||||||
\(734\) | −3474.66 | − | 12967.6i | −0.174730 | − | 0.652103i | ||||
\(735\) | 56.8486 | − | 66.4451i | 0.00285291 | − | 0.00333451i | ||||
\(736\) | −23692.4 | + | 23692.4i | −1.18657 | + | 1.18657i | ||||
\(737\) | −3398.97 | − | 1962.39i | −0.169881 | − | 0.0980811i | ||||
\(738\) | 926.805 | + | 5917.62i | 0.0462279 | + | 0.295163i | ||||
\(739\) | −19603.4 | − | 5252.72i | −0.975809 | − | 0.261467i | −0.264530 | − | 0.964377i | \(-0.585217\pi\) |
−0.711279 | + | 0.702910i | \(0.751884\pi\) | |||||||
\(740\) | 639.667 | 0.0317765 | ||||||||
\(741\) | 7466.26 | − | 7234.33i | 0.370148 | − | 0.358650i | ||||
\(742\) | 12935.6 | 0.640001 | ||||||||
\(743\) | −33426.2 | − | 8956.53i | −1.65046 | − | 0.442238i | −0.690715 | − | 0.723127i | \(-0.742704\pi\) |
−0.959740 | + | 0.280888i | \(0.909371\pi\) | |||||||
\(744\) | 25.8066 | − | 53.9849i | 0.00127166 | − | 0.00266019i | ||||
\(745\) | 596.916 | + | 344.630i | 0.0293548 | + | 0.0169480i | ||||
\(746\) | −11731.5 | + | 11731.5i | −0.575763 | + | 0.575763i | ||||
\(747\) | −17551.9 | − | 1875.37i | −0.859692 | − | 0.0918558i | ||||
\(748\) | 2539.49 | + | 9477.52i | 0.124135 | + | 0.463278i | ||||
\(749\) | 30657.1 | + | 30657.1i | 1.49557 | + | 1.49557i | ||||
\(750\) | 96.8863 | + | 1244.77i | 0.00471705 | + | 0.0606035i | ||||
\(751\) | 11587.6 | − | 6690.11i | 0.563033 | − | 0.325067i | −0.191329 | − | 0.981526i | \(-0.561280\pi\) |
0.754362 | + | 0.656459i | \(0.227946\pi\) | |||||||
\(752\) | −7414.96 | + | 27673.0i | −0.359569 | + | 1.34193i | ||||
\(753\) | 10445.2 | − | 7165.55i | 0.505504 | − | 0.346782i | ||||
\(754\) | −10470.5 | + | 28222.9i | −0.505720 | + | 1.36315i | ||||
\(755\) | 15.6344i | 0.000753634i | ||||||||
\(756\) | 23392.8 | + | 673.092i | 1.12538 | + | 0.0323811i | ||||
\(757\) | −5944.98 | − | 10297.0i | −0.285434 | − | 0.494387i | 0.687280 | − | 0.726393i | \(-0.258805\pi\) |
−0.972714 | + | 0.232006i | \(0.925471\pi\) | |||||||
\(758\) | 3549.97 | − | 6148.73i | 0.170106 | − | 0.294633i | ||||
\(759\) | −9782.98 | − | 1821.89i | −0.467852 | − | 0.0871284i | ||||
\(760\) | −8.06379 | + | 2.16069i | −0.000384874 | + | 0.000103127i | ||||
\(761\) | 11488.5 | − | 3078.34i | 0.547251 | − | 0.146635i | 0.0254083 | − | 0.999677i | \(-0.491911\pi\) |
0.521843 | + | 0.853042i | \(0.325245\pi\) | |||||||
\(762\) | 11537.8 | + | 2148.69i | 0.548517 | + | 0.102151i | ||||
\(763\) | 3021.68 | − | 5233.70i | 0.143371 | − | 0.248326i | ||||
\(764\) | 9588.93 | + | 16608.5i | 0.454078 | + | 0.786486i | ||||
\(765\) | −308.794 | + | 423.481i | −0.0145941 | + | 0.0200144i | ||||
\(766\) | 35648.5i | 1.68150i | ||||||||
\(767\) | −13656.4 | + | 36810.3i | −0.642898 | + | 1.73291i | ||||
\(768\) | 16624.2 | − | 11404.4i | 0.781088 | − | 0.535836i | ||||
\(769\) | 8090.31 | − | 30193.5i | 0.379381 | − | 1.41587i | −0.467456 | − | 0.884017i | \(-0.654829\pi\) |
0.846837 | − | 0.531853i | \(-0.178504\pi\) | |||||||
\(770\) | −249.116 | + | 143.827i | −0.0116591 | + | 0.00673138i | ||||
\(771\) | 520.940 | + | 6692.91i | 0.0243336 | + | 0.312632i | ||||
\(772\) | 10819.1 | + | 10819.1i | 0.504387 | + | 0.504387i | ||||
\(773\) | −4448.95 | − | 16603.7i | −0.207009 | − | 0.772567i | −0.988828 | − | 0.149062i | \(-0.952375\pi\) |
0.781819 | − | 0.623505i | \(-0.214292\pi\) | |||||||
\(774\) | −5795.42 | + | 54240.2i | −0.269137 | + | 2.51889i | ||||
\(775\) | 1242.32 | − | 1242.32i | 0.0575813 | − | 0.0575813i | ||||
\(776\) | −67.7604 | − | 39.1215i | −0.00313461 | − | 0.00180977i | ||||
\(777\) | 14878.3 | − | 31123.9i | 0.686945 | − | 1.43702i | ||||
\(778\) | 20667.9 | + | 5537.95i | 0.952418 | + | 0.255200i | ||||
\(779\) | −2352.44 | −0.108196 | ||||||||
\(780\) | 342.687 | − | 332.041i | 0.0157310 | − | 0.0152423i | ||||
\(781\) | 9661.48 | 0.442657 | ||||||||
\(782\) | 41129.3 | + | 11020.6i | 1.88079 | + | 0.503957i | ||||
\(783\) | 15365.8 | + | 16276.3i | 0.701315 | + | 0.742869i | ||||
\(784\) | 3803.78 | + | 2196.12i | 0.173277 | + | 0.100042i | ||||
\(785\) | 248.672 | − | 248.672i | 0.0113063 | − | 0.0113063i | ||||
\(786\) | −3003.38 | + | 3510.38i | −0.136294 | + | 0.159301i | ||||
\(787\) | 4900.83 | + | 18290.1i | 0.221977 | + | 0.828429i | 0.983593 | + | 0.180401i | \(0.0577394\pi\) |
−0.761616 | + | 0.648028i | \(0.775594\pi\) | |||||||
\(788\) | 15769.3 | + | 15769.3i | 0.712889 | + | 0.712889i | ||||
\(789\) | −16820.1 | + | 1309.19i | −0.758951 | + | 0.0590726i | ||||
\(790\) | −287.392 | + | 165.926i | −0.0129430 | + | 0.00747263i | ||||
\(791\) | 10194.3 | − | 38045.5i | 0.458238 | − | 1.71017i | ||||
\(792\) | −303.559 | − | 117.126i | −0.0136193 | − | 0.00525492i | ||||
\(793\) | −11043.3 | − | 24070.2i | −0.494527 | − | 1.07788i | ||||
\(794\) | 48676.7i | 2.17566i | ||||||||
\(795\) | −65.3065 | − | 184.926i | −0.00291344 | − | 0.00824988i | ||||
\(796\) | −9178.02 | − | 15896.8i | −0.408676 | − | 0.707848i | ||||
\(797\) | −17209.7 | + | 29808.1i | −0.764868 | + | 1.32479i | 0.175448 | + | 0.984489i | \(0.443863\pi\) |
−0.940316 | + | 0.340302i | \(0.889471\pi\) | |||||||
\(798\) | −3323.76 | + | 17847.6i | −0.147444 | + | 0.791726i | ||||
\(799\) | 36085.7 | − | 9669.12i | 1.59777 | − | 0.428121i | ||||
\(800\) | −31071.2 | + | 8325.51i | −1.37317 | + | 0.367939i | ||||
\(801\) | 11836.5 | − | 5245.52i | 0.522125 | − | 0.231387i | ||||
\(802\) | 24310.1 | − | 42106.3i | 1.07035 | − | 1.85390i | ||||
\(803\) | 2280.44 | + | 3949.84i | 0.100218 | + | 0.173583i | ||||
\(804\) | −10720.2 | + | 3785.81i | −0.470238 | + | 0.166064i | ||||
\(805\) | 631.998i | 0.0276708i | ||||||||
\(806\) | −2641.54 | − | 247.583i | −0.115439 | − | 0.0108198i | ||||
\(807\) | −20771.1 | − | 30278.1i | −0.906045 | − | 1.32074i | ||||
\(808\) | −222.804 | + | 831.515i | −0.00970075 | + | 0.0362037i | ||||
\(809\) | −11103.5 | + | 6410.63i | −0.482546 | + | 0.278598i | −0.721477 | − | 0.692439i | \(-0.756536\pi\) |
0.238931 | + | 0.971037i | \(0.423203\pi\) | |||||||
\(810\) | −214.266 | − | 667.261i | −0.00929449 | − | 0.0289447i | ||||
\(811\) | −13660.8 | − | 13660.8i | −0.591485 | − | 0.591485i | 0.346547 | − | 0.938033i | \(-0.387354\pi\) |
−0.938033 | + | 0.346547i | \(0.887354\pi\) | |||||||
\(812\) | −6888.05 | − | 25706.6i | −0.297689 | − | 1.11099i | ||||
\(813\) | −12468.1 | − | 10667.4i | −0.537854 | − | 0.460173i | ||||
\(814\) | −13675.5 | + | 13675.5i | −0.588853 | + | 0.588853i | ||||
\(815\) | 134.409 | + | 77.6010i | 0.00577685 | + | 0.00333527i | ||||
\(816\) | −23750.8 | − | 11353.7i | −1.01893 | − | 0.487082i | ||||
\(817\) | −20693.8 | − | 5544.88i | −0.886148 | − | 0.237443i | ||||
\(818\) | −17975.3 | −0.768326 | ||||||||
\(819\) | −8185.26 | − | 24397.0i | −0.349226 | − | 1.04090i | ||||
\(820\) | −107.972 | −0.00459824 | ||||||||
\(821\) | 9692.47 | + | 2597.09i | 0.412022 | + | 0.110401i | 0.458875 | − | 0.888501i | \(-0.348253\pi\) |
−0.0468533 | + | 0.998902i | \(0.514919\pi\) | |||||||
\(822\) | 18856.3 | + | 9013.95i | 0.800108 | + | 0.382479i | ||||
\(823\) | 7898.95 | + | 4560.46i | 0.334556 | + | 0.193156i | 0.657862 | − | 0.753138i | \(-0.271461\pi\) |
−0.323306 | + | 0.946295i | \(0.604794\pi\) | |||||||
\(824\) | 549.745 | − | 549.745i | 0.0232418 | − | 0.0232418i | ||||
\(825\) | −7259.24 | − | 6210.80i | −0.306345 | − | 0.262100i | ||||
\(826\) | −17745.0 | − | 66225.2i | −0.747490 | − | 2.78967i | ||||
\(827\) | −33068.4 | − | 33068.4i | −1.39045 | − | 1.39045i | −0.824313 | − | 0.566135i | \(-0.808438\pi\) |
−0.566135 | − | 0.824313i | \(-0.691562\pi\) | |||||||
\(828\) | −22433.1 | + | 18102.0i | −0.941549 | + | 0.759768i | ||||
\(829\) | −27890.5 | + | 16102.6i | −1.16849 | + | 0.674628i | −0.953324 | − | 0.301949i | \(-0.902363\pi\) |
−0.215166 | + | 0.976577i | \(0.569029\pi\) | |||||||
\(830\) | 162.667 | − | 607.082i | 0.00680272 | − | 0.0253881i | ||||
\(831\) | 1549.40 | + | 2258.56i | 0.0646789 | + | 0.0942824i | ||||
\(832\) | 20555.4 | + | 14583.4i | 0.856528 | + | 0.607680i | ||||
\(833\) | − | 5727.48i | − | 0.238230i | ||||||
\(834\) | −529.635 | + | 187.040i | −0.0219901 | + | 0.00776578i | ||||
\(835\) | −59.1500 | − | 102.451i | −0.00245146 | − | 0.00424606i | ||||
\(836\) | 2576.41 | − | 4462.47i | 0.106587 | − | 0.184615i | ||||
\(837\) | −1035.13 | + | 1679.42i | −0.0427471 | + | 0.0693538i | ||||
\(838\) | −35020.0 | + | 9383.57i | −1.44361 | + | 0.386814i | ||||
\(839\) | 120.871 | − | 32.3874i | 0.00497371 | − | 0.00133270i | −0.256331 | − | 0.966589i | \(-0.582514\pi\) |
0.261305 | + | 0.965256i | \(0.415847\pi\) | |||||||
\(840\) | −3.78328 | + | 20.3150i | −0.000155399 | + | 0.000834446i | ||||
\(841\) | 532.859 | − | 922.939i | 0.0218483 | − | 0.0378424i | ||||
\(842\) | −24075.5 | − | 41700.0i | −0.985387 | − | 1.70674i | ||||
\(843\) | −8653.64 | − | 24504.2i | −0.353555 | − | 1.00115i | ||||
\(844\) | − | 32726.4i | − | 1.33470i | ||||||
\(845\) | −472.753 | − | 227.612i | −0.0192464 | − | 0.00926638i | ||||
\(846\) | −17982.5 | + | 46605.7i | −0.730793 | + | 1.89402i | ||||
\(847\) | −5865.16 | + | 21889.1i | −0.237933 | + | 0.887978i | ||||
\(848\) | 8530.96 | − | 4925.35i | 0.345465 | − | 0.199454i | ||||
\(849\) | 25863.0 | − | 2013.04i | 1.04549 | − | 0.0813749i | ||||
\(850\) | 28905.7 | + | 28905.7i | 1.16642 | + | 1.16642i | ||||
\(851\) | 10997.7 | + | 41043.8i | 0.443002 | + | 1.65331i | ||||
\(852\) | 18194.2 | − | 21265.5i | 0.731598 | − | 0.855098i | ||||
\(853\) | 15118.4 | − | 15118.4i | 0.606850 | − | 0.606850i | −0.335272 | − | 0.942121i | \(-0.608828\pi\) |
0.942121 | + | 0.335272i | \(0.108828\pi\) | |||||||
\(854\) | 40049.8 | + | 23122.8i | 1.60477 | + | 0.926516i | ||||
\(855\) | 271.928 | − | 42.5888i | 0.0108769 | − | 0.00170351i | ||||
\(856\) | −1686.60 | − | 451.924i | −0.0673446 | − | 0.0180449i | ||||
\(857\) | 45161.2 | 1.80009 | 0.900044 | − | 0.435799i | \(-0.143534\pi\) | ||||
0.900044 | + | 0.435799i | \(0.143534\pi\) | |||||||
\(858\) | −227.586 | + | 14425.1i | −0.00905556 | + | 0.573968i | ||||
\(859\) | 18374.3 | 0.729829 | 0.364915 | − | 0.931041i | \(-0.381098\pi\) | ||||
0.364915 | + | 0.931041i | \(0.381098\pi\) | |||||||
\(860\) | −949.803 | − | 254.499i | −0.0376605 | − | 0.0100911i | ||||
\(861\) | −2511.38 | + | 5253.55i | −0.0994047 | + | 0.207945i | ||||
\(862\) | −43347.2 | − | 25026.5i | −1.71278 | − | 0.988872i | ||||
\(863\) | −2533.13 | + | 2533.13i | −0.0999173 | + | 0.0999173i | −0.755298 | − | 0.655381i | \(-0.772508\pi\) |
0.655381 | + | 0.755298i | \(0.272508\pi\) | |||||||
\(864\) | 31787.4 | − | 17152.9i | 1.25165 | − | 0.675408i | ||||
\(865\) | 8.71937 | + | 32.5411i | 0.000342737 | + | 0.00127911i | ||||
\(866\) | −6702.40 | − | 6702.40i | −0.262999 | − | 0.262999i | ||||
\(867\) | 682.818 | + | 8772.68i | 0.0267471 | + | 0.343640i | ||||
\(868\) | 2031.35 | − | 1172.80i | 0.0794336 | − | 0.0458610i | ||||
\(869\) | 1314.72 | − | 4906.61i | 0.0513221 | − | 0.191537i | ||||
\(870\) | −657.196 | + | 450.845i | −0.0256104 | + | 0.0175691i | ||||
\(871\) | 7976.35 | + | 9626.18i | 0.310297 | + | 0.374479i | ||||
\(872\) | 243.389i | 0.00945207i | ||||||||
\(873\) | 2084.39 | + | 1519.89i | 0.0808085 | + | 0.0589239i | ||||
\(874\) | −11180.8 | − | 19365.6i | −0.432717 | − | 0.749488i | ||||
\(875\) | −606.884 | + | 1051.15i | −0.0234473 | + | 0.0406120i | ||||
\(876\) | 12988.3 | + | 2418.82i | 0.500951 | + | 0.0932925i | ||||
\(877\) | −24479.1 | + | 6559.14i | −0.942530 | + | 0.252550i | −0.697190 | − | 0.716887i | \(-0.745566\pi\) |
−0.245341 | + | 0.969437i | \(0.578900\pi\) | |||||||
\(878\) | 37056.6 | − | 9929.29i | 1.42437 | − | 0.381660i | ||||
\(879\) | 6254.74 | + | 1164.83i | 0.240008 | + | 0.0446969i | ||||
\(880\) | −109.527 | + | 189.706i | −0.00419563 | + | 0.00726705i | ||||
\(881\) | 14541.1 | + | 25185.8i | 0.556073 | + | 0.963147i | 0.997819 | + | 0.0660068i | \(0.0210259\pi\) |
−0.441746 | + | 0.897140i | \(0.645641\pi\) | |||||||
\(882\) | 6188.15 | + | 4512.27i | 0.236242 | + | 0.172263i | ||||
\(883\) | 21131.8i | 0.805368i | 0.915339 | + | 0.402684i | \(0.131923\pi\) | ||||
−0.915339 | + | 0.402684i | \(0.868077\pi\) | |||||||
\(884\) | 2916.48 | − | 31116.8i | 0.110963 | − | 1.18390i | ||||
\(885\) | −857.163 | + | 588.024i | −0.0325573 | + | 0.0223347i | ||||
\(886\) | 7494.89 | − | 27971.3i | 0.284194 | − | 1.06063i | ||||
\(887\) | −25607.4 | + | 14784.4i | −0.969347 | + | 0.559653i | −0.899037 | − | 0.437872i | \(-0.855732\pi\) |
−0.0703102 | + | 0.997525i | \(0.522399\pi\) | |||||||
\(888\) | 107.813 | + | 1385.15i | 0.00407427 | + | 0.0523453i | ||||
\(889\) | 8067.62 | + | 8067.62i | 0.304364 | + | 0.304364i | ||||
\(890\) | 119.308 | + | 445.265i | 0.00449352 | + | 0.0167700i | ||||
\(891\) | 9541.44 | + | 4903.12i | 0.358755 | + | 0.184355i | ||||
\(892\) | 10013.7 | − | 10013.7i | 0.375878 | − | 0.375878i | ||||
\(893\) | −16990.9 | − | 9809.69i | −0.636705 | − | 0.367602i | ||||
\(894\) | −26035.2 | + | 54463.2i | −0.973992 | + | 2.03750i | ||||
\(895\) | 184.718 | + | 49.4950i | 0.00689881 | + | 0.00184853i | ||||
\(896\) | −2130.75 | −0.0794458 | ||||||||
\(897\) | 27196.9 | + | 16279.5i | 1.01235 | + | 0.605973i | ||||
\(898\) | −36649.6 | −1.36193 | ||||||||
\(899\) | 2167.03 | + | 580.654i | 0.0803943 | + | 0.0215416i | ||||
\(900\) | −27340.7 | + | 4282.04i | −1.01262 | + | 0.158594i | ||||
\(901\) | −11124.4 | − | 6422.67i | −0.411329 | − | 0.237481i | ||||
\(902\) | 2308.35 | − | 2308.35i | 0.0852104 | − | 0.0852104i | ||||
\(903\) | −34474.9 | + | 40294.5i | −1.27049 | + | 1.48496i | ||||
\(904\) | 410.563 | + | 1532.24i | 0.0151052 | + | 0.0563735i | ||||
\(905\) | −421.103 | − | 421.103i | −0.0154673 | − | 0.0154673i | ||||
\(906\) | −1365.15 | + | 106.256i | −0.0500597 | + | 0.00389637i | ||||
\(907\) | −5309.13 | + | 3065.23i | −0.194362 | + | 0.112215i | −0.594023 | − | 0.804448i | \(-0.702461\pi\) |
0.399661 | + | 0.916663i | \(0.369128\pi\) | |||||||
\(908\) | 3208.88 | − | 11975.7i | 0.117280 | − | 0.437695i | ||||
\(909\) | 10216.9 | − | 26479.5i | 0.372799 | − | 0.966193i | ||||
\(910\) | 903.296 | − | 153.519i | 0.0329055 | − | 0.00559242i | ||||
\(911\) | − | 16936.6i | − | 0.615954i | −0.951394 | − | 0.307977i | \(-0.900348\pi\) | ||
0.951394 | − | 0.307977i | \(-0.0996520\pi\) | |||||||
\(912\) | 4603.63 | + | 13035.9i | 0.167151 | + | 0.473315i | ||||
\(913\) | 4810.24 | + | 8331.58i | 0.174366 | + | 0.302010i | ||||
\(914\) | 34737.6 | − | 60167.3i | 1.25713 | − | 2.17742i | ||||
\(915\) | 128.366 | − | 689.286i | 0.00463787 | − | 0.0249039i | ||||
\(916\) | 46073.4 | − | 12345.3i | 1.66191 | − | 0.445307i | ||||
\(917\) | −4338.17 | + | 1162.41i | −0.156226 | + | 0.0418605i | ||||
\(918\) | −39075.8 | − | 24084.9i | −1.40489 | − | 0.865925i | ||||
\(919\) | 3963.54 | − | 6865.05i | 0.142269 | − | 0.246417i | −0.786082 | − | 0.618122i | \(-0.787894\pi\) |
0.928351 | + | 0.371706i | \(0.121227\pi\) | |||||||
\(920\) | −12.7265 | − | 22.0430i | −0.000456066 | − | 0.000789929i | ||||
\(921\) | 46967.5 | − | 16586.5i | 1.68038 | − | 0.593425i | ||||
\(922\) | 7094.59i | 0.253414i | ||||||||
\(923\) | −28852.6 | − | 10704.1i | −1.02892 | − | 0.381723i | ||||
\(924\) | −7215.27 | − | 10517.7i | −0.256889 | − | 0.374466i | ||||
\(925\) | −10558.2 | + | 39403.9i | −0.375300 | + | 1.40064i | ||||
\(926\) | −32453.2 | + | 18736.9i | −1.15171 | + | 0.664937i | ||||
\(927\) | −19948.2 | + | 16096.9i | −0.706780 | + | 0.570325i | ||||
\(928\) | −29045.0 | − | 29045.0i | −1.02742 | − | 1.02742i | ||||
\(929\) | −2925.36 | − | 10917.6i | −0.103313 | − | 0.385569i | 0.894835 | − | 0.446396i | \(-0.147293\pi\) |
−0.998148 | + | 0.0608270i | \(0.980626\pi\) | |||||||
\(930\) | −53.3732 | − | 45.6646i | −0.00188191 | − | 0.00161011i | ||||
\(931\) | −2126.88 | + | 2126.88i | −0.0748718 | + | 0.0748718i | ||||
\(932\) | −7836.71 | − | 4524.53i | −0.275429 | − | 0.159019i | ||||
\(933\) | 24482.4 | + | 11703.4i | 0.859075 | + | 0.410667i | ||||
\(934\) | 48222.9 | + | 12921.3i | 1.68940 | + | 0.452674i | ||||
\(935\) | 285.647 | 0.00999107 | ||||||||
\(936\) | 776.769 | + | 686.098i | 0.0271255 | + | 0.0239592i | ||||
\(937\) | 11735.3 | 0.409150 | 0.204575 | − | 0.978851i | \(-0.434419\pi\) | ||||
0.204575 | + | 0.978851i | \(0.434419\pi\) | |||||||
\(938\) | −21086.9 | − | 5650.21i | −0.734020 | − | 0.196680i | ||||
\(939\) | 3095.36 | + | 1479.69i | 0.107575 | + | 0.0514246i | ||||
\(940\) | −779.848 | − | 450.245i | −0.0270594 | − | 0.0156227i | ||||
\(941\) | −12743.0 | + | 12743.0i | −0.441457 | + | 0.441457i | −0.892502 | − | 0.451044i | \(-0.851052\pi\) |
0.451044 | + | 0.892502i | \(0.351052\pi\) | |||||||
\(942\) | 23403.3 | + | 20023.3i | 0.809472 | + | 0.692562i | ||||
\(943\) | −1856.35 | − | 6927.97i | −0.0641049 | − | 0.239243i | ||||
\(944\) | −36918.6 | − | 36918.6i | −1.27288 | − | 1.27288i | ||||
\(945\) | 195.189 | − | 652.745i | 0.00671905 | − | 0.0224696i | ||||
\(946\) | 25746.9 | − | 14865.0i | 0.884888 | − | 0.510890i | ||||
\(947\) | −9567.63 | + | 35706.9i | −0.328307 | + | 1.22526i | 0.582639 | + | 0.812731i | \(0.302020\pi\) |
−0.910946 | + | 0.412526i | \(0.864647\pi\) | |||||||
\(948\) | −8323.90 | − | 12133.7i | −0.285177 | − | 0.415702i | ||||
\(949\) | −2434.11 | − | 14322.2i | −0.0832609 | − | 0.489902i | ||||
\(950\) | − | 21468.0i | − | 0.733174i | ||||||
\(951\) | −34514.4 | + | 12188.7i | −1.17687 | + | 0.415612i | ||||
\(952\) | 676.731 | + | 1172.13i | 0.0230389 | + | 0.0399045i | ||||
\(953\) | −24510.2 | + | 42453.0i | −0.833121 | + | 1.44301i | 0.0624301 | + | 0.998049i | \(0.480115\pi\) |
−0.895551 | + | 0.444959i | \(0.853218\pi\) | |||||||
\(954\) | 15703.4 | − | 6959.18i | 0.532930 | − | 0.236176i | ||||
\(955\) | 539.290 | − | 144.502i | 0.0182733 | − | 0.00489632i | ||||
\(956\) | −32541.2 | + | 8719.39i | −1.10090 | + | 0.294985i | ||||
\(957\) | 2233.50 | − | 11993.2i | 0.0754428 | − | 0.405104i | ||||
\(958\) | −23573.2 | + | 40830.0i | −0.795005 | + | 1.37699i | ||||
\(959\) | 10159.0 | + | 17595.9i | 0.342077 | + | 0.592494i | ||||
\(960\) | 222.195 | + | 629.182i | 0.00747012 | + | 0.0211529i | ||||
\(961\) | − | 29593.3i | − | 0.993363i | ||||||
\(962\) | 55991.3 | − | 25688.6i | 1.87654 | − | 0.860950i | ||||
\(963\) | 53709.8 | + | 20723.5i | 1.79727 | + | 0.693465i | ||||
\(964\) | 193.393 | − | 721.753i | 0.00646138 | − | 0.0241142i | ||||
\(965\) | 385.757 | − | 222.717i | 0.0128684 | − | 0.00742955i | ||||
\(966\) | −55184.2 | + | 4295.24i | −1.83801 | + | 0.143061i | ||||
\(967\) | 3506.81 | + | 3506.81i | 0.116620 | + | 0.116620i | 0.763008 | − | 0.646389i | \(-0.223721\pi\) |
−0.646389 | + | 0.763008i | \(0.723721\pi\) | |||||||
\(968\) | −236.213 | − | 881.558i | −0.00784314 | − | 0.0292710i | ||||
\(969\) | 11719.9 | − | 13698.3i | 0.388542 | − | 0.454131i | ||||
\(970\) | −64.9480 | + | 64.9480i | −0.00214985 | + | 0.00214985i | ||||
\(971\) | 21384.7 | + | 12346.5i | 0.706764 | + | 0.408050i | 0.809862 | − | 0.586621i | \(-0.199542\pi\) |
−0.103098 | + | 0.994671i | \(0.532875\pi\) | |||||||
\(972\) | 28760.2 | − | 11767.9i | 0.949056 | − | 0.388329i | ||||
\(973\) | −527.443 | − | 141.328i | −0.0173783 | − | 0.00465649i | ||||
\(974\) | −30514.7 | −1.00385 | ||||||||
\(975\) | 14797.6 | + | 26590.3i | 0.486054 | + | 0.873407i | ||||
\(976\) | 35216.9 | 1.15498 | ||||||||
\(977\) | 38471.5 | + | 10308.4i | 1.25979 | + | 0.337559i | 0.826110 | − | 0.563508i | \(-0.190549\pi\) |
0.433678 | + | 0.901068i | \(0.357215\pi\) | |||||||
\(978\) | −5862.41 | + | 12263.6i | −0.191676 | + | 0.400967i | ||||
\(979\) | −6110.81 | − | 3528.08i | −0.199492 | − | 0.115177i | ||||
\(980\) | −97.6195 | + | 97.6195i | −0.00318198 | + | 0.00318198i | ||||
\(981\) | 852.551 | − | 7979.15i | 0.0277471 | − | 0.259689i | ||||
\(982\) | −3668.16 | − | 13689.8i | −0.119201 | − | 0.444865i | ||||
\(983\) | 14737.0 | + | 14737.0i | 0.478165 | + | 0.478165i | 0.904544 | − | 0.426379i | \(-0.140211\pi\) |
−0.426379 | + | 0.904544i | \(0.640211\pi\) | |||||||
\(984\) | −18.1982 | − | 233.806i | −0.000589570 | − | 0.00757466i | ||||
\(985\) | 562.258 | − | 324.620i | 0.0181878 | − | 0.0105008i | ||||
\(986\) | −13510.4 | + | 50421.3i | −0.436366 | + | 1.62854i | ||||
\(987\) | −40046.1 | + | 27472.2i | −1.29147 | + | 0.885966i | ||||
\(988\) | −12638.1 | + | 10472.1i | −0.406956 | + | 0.337208i | ||||
\(989\) | − | 65319.0i | − | 2.10012i | ||||||
\(990\) | −225.041 | + | 308.622i | −0.00722451 | + | 0.00990773i | ||||
\(991\) | 18416.8 | + | 31898.8i | 0.590342 | + | 1.02250i | 0.994186 | + | 0.107675i | \(0.0343405\pi\) |
−0.403844 | + | 0.914828i | \(0.632326\pi\) | |||||||
\(992\) | 1810.13 | − | 3135.24i | 0.0579352 | − | 0.100347i | ||||
\(993\) | −31607.2 | − | 5886.24i | −1.01010 | − | 0.188111i | ||||
\(994\) | 51908.6 | − | 13908.9i | 1.65638 | − | 0.443825i | ||||
\(995\) | −516.180 | + | 138.310i | −0.0164463 | + | 0.00440676i | ||||
\(996\) | 27396.8 | + | 5102.12i | 0.871587 | + | 0.162316i | ||||
\(997\) | −31311.3 | + | 54232.7i | −0.994622 | + | 1.72274i | −0.407617 | + | 0.913153i | \(0.633640\pi\) |
−0.587005 | + | 0.809583i | \(0.699693\pi\) | |||||||
\(998\) | 37953.0 | + | 65736.4i | 1.20379 | + | 2.08502i | ||||
\(999\) | 1317.47 | − | 45787.7i | 0.0417247 | − | 1.45011i |
(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 | 39.4.k.a.11.2 | ✓ | 48 | |
3.2 | odd | 2 | inner | 39.4.k.a.11.11 | yes | 48 | |
13.6 | odd | 12 | inner | 39.4.k.a.32.11 | yes | 48 | |
39.32 | even | 12 | inner | 39.4.k.a.32.2 | yes | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
39.4.k.a.11.2 | ✓ | 48 | 1.1 | even | 1 | trivial | |
39.4.k.a.11.11 | yes | 48 | 3.2 | odd | 2 | inner | |
39.4.k.a.32.2 | yes | 48 | 39.32 | even | 12 | inner | |
39.4.k.a.32.11 | yes | 48 | 13.6 | odd | 12 | inner |