Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,4,Mod(2,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.2");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.f (of order \(10\), 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: | \(1.94706303019\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 2.7 | ||
Character | \(\chi\) | \(=\) | 33.2 |
Dual form | 33.4.f.a.17.7 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.448331 | − | 1.37982i | 0.158509 | − | 0.487840i | −0.839991 | − | 0.542601i | \(-0.817440\pi\) |
0.998500 | + | 0.0547607i | \(0.0174396\pi\) | |||||||
\(3\) | −2.40765 | + | 4.60470i | −0.463353 | + | 0.886174i | ||||
\(4\) | 4.76923 | + | 3.46505i | 0.596154 | + | 0.433131i | ||||
\(5\) | 14.6309 | − | 4.75385i | 1.30862 | − | 0.425198i | 0.430050 | − | 0.902805i | \(-0.358496\pi\) |
0.878573 | + | 0.477607i | \(0.158496\pi\) | |||||||
\(6\) | 5.27423 | + | 5.38655i | 0.358866 | + | 0.366509i | ||||
\(7\) | −7.94038 | + | 10.9290i | −0.428740 | + | 0.590110i | −0.967664 | − | 0.252245i | \(-0.918831\pi\) |
0.538923 | + | 0.842355i | \(0.318831\pi\) | |||||||
\(8\) | 16.3093 | − | 11.8494i | 0.720776 | − | 0.523675i | ||||
\(9\) | −15.4064 | − | 22.1730i | −0.570609 | − | 0.821222i | ||||
\(10\) | − | 22.3193i | − | 0.705797i | ||||||
\(11\) | −36.2331 | + | 4.26212i | −0.993152 | + | 0.116825i | ||||
\(12\) | −27.4381 | + | 13.6182i | −0.660059 | + | 0.327604i | ||||
\(13\) | 21.5263 | + | 6.99432i | 0.459256 | + | 0.149221i | 0.529502 | − | 0.848308i | \(-0.322379\pi\) |
−0.0702467 | + | 0.997530i | \(0.522379\pi\) | |||||||
\(14\) | 11.5201 | + | 15.8561i | 0.219920 | + | 0.302695i | ||||
\(15\) | −13.3359 | + | 78.8163i | −0.229555 | + | 1.35668i | ||||
\(16\) | 5.53539 | + | 17.0362i | 0.0864904 | + | 0.266190i | ||||
\(17\) | −27.3125 | − | 84.0591i | −0.389662 | − | 1.19925i | −0.933042 | − | 0.359768i | \(-0.882856\pi\) |
0.543380 | − | 0.839487i | \(-0.317144\pi\) | |||||||
\(18\) | −37.5019 | + | 11.3173i | −0.491072 | + | 0.148195i | ||||
\(19\) | −60.6101 | − | 83.4226i | −0.731837 | − | 1.00729i | −0.999047 | − | 0.0436489i | \(-0.986102\pi\) |
0.267210 | − | 0.963638i | \(-0.413898\pi\) | |||||||
\(20\) | 86.2503 | + | 28.0244i | 0.964308 | + | 0.313323i | ||||
\(21\) | −31.2070 | − | 62.8762i | −0.324283 | − | 0.653368i | ||||
\(22\) | −10.3634 | + | 51.9060i | −0.100431 | + | 0.503018i | ||||
\(23\) | − | 42.7256i | − | 0.387343i | −0.981066 | − | 0.193672i | \(-0.937960\pi\) | ||
0.981066 | − | 0.193672i | \(-0.0620397\pi\) | |||||||
\(24\) | 15.2958 | + | 103.629i | 0.130093 | + | 0.881379i | ||||
\(25\) | 90.3358 | − | 65.6328i | 0.722686 | − | 0.525062i | ||||
\(26\) | 19.3018 | − | 26.5667i | 0.145592 | − | 0.200391i | ||||
\(27\) | 139.193 | − | 17.5571i | 0.992139 | − | 0.125144i | ||||
\(28\) | −75.7390 | + | 24.6091i | −0.511190 | + | 0.166096i | ||||
\(29\) | −6.11293 | − | 4.44131i | −0.0391429 | − | 0.0284390i | 0.568042 | − | 0.823000i | \(-0.307701\pi\) |
−0.607185 | + | 0.794561i | \(0.707701\pi\) | |||||||
\(30\) | 102.773 | + | 53.7370i | 0.625459 | + | 0.327033i | ||||
\(31\) | −67.5285 | + | 207.831i | −0.391241 | + | 1.20412i | 0.540609 | + | 0.841274i | \(0.318194\pi\) |
−0.931850 | + | 0.362843i | \(0.881806\pi\) | |||||||
\(32\) | 187.264 | 1.03450 | ||||||||
\(33\) | 67.6108 | − | 177.104i | 0.356652 | − | 0.934237i | ||||
\(34\) | −128.232 | −0.646810 | ||||||||
\(35\) | −64.2197 | + | 197.648i | −0.310146 | + | 0.954532i | ||||
\(36\) | 3.35364 | − | 159.132i | 0.0155261 | − | 0.736723i | ||||
\(37\) | 251.735 | + | 182.896i | 1.11851 | + | 0.812648i | 0.983983 | − | 0.178262i | \(-0.0570474\pi\) |
0.134530 | + | 0.990909i | \(0.457047\pi\) | |||||||
\(38\) | −142.282 | + | 46.2301i | −0.607398 | + | 0.197356i | ||||
\(39\) | −84.0346 | + | 82.2822i | −0.345033 | + | 0.337839i | ||||
\(40\) | 182.289 | − | 250.899i | 0.720560 | − | 0.991766i | ||||
\(41\) | −268.856 | + | 195.335i | −1.02410 | + | 0.744055i | −0.967120 | − | 0.254320i | \(-0.918148\pi\) |
−0.0569834 | + | 0.998375i | \(0.518148\pi\) | |||||||
\(42\) | −100.749 | + | 14.8708i | −0.370141 | + | 0.0546335i | ||||
\(43\) | − | 419.586i | − | 1.48805i | −0.668150 | − | 0.744026i | \(-0.732914\pi\) | ||
0.668150 | − | 0.744026i | \(-0.267086\pi\) | |||||||
\(44\) | −187.572 | − | 105.222i | −0.642672 | − | 0.360519i | ||||
\(45\) | −330.817 | − | 251.170i | −1.09589 | − | 0.832049i | ||||
\(46\) | −58.9536 | − | 19.1552i | −0.188962 | − | 0.0613974i | ||||
\(47\) | 100.176 | + | 137.880i | 0.310897 | + | 0.427913i | 0.935661 | − | 0.352901i | \(-0.114805\pi\) |
−0.624764 | + | 0.780814i | \(0.714805\pi\) | |||||||
\(48\) | −91.7736 | − | 15.5284i | −0.275966 | − | 0.0466943i | ||||
\(49\) | 49.5995 | + | 152.652i | 0.144605 | + | 0.445048i | ||||
\(50\) | −50.0612 | − | 154.072i | −0.141594 | − | 0.435783i | ||||
\(51\) | 452.826 | + | 76.6194i | 1.24330 | + | 0.210370i | ||||
\(52\) | 78.4283 | + | 107.947i | 0.209155 | + | 0.287877i | ||||
\(53\) | −329.367 | − | 107.018i | −0.853623 | − | 0.277359i | −0.150660 | − | 0.988586i | \(-0.548140\pi\) |
−0.702963 | + | 0.711227i | \(0.748140\pi\) | |||||||
\(54\) | 38.1789 | − | 199.933i | 0.0962128 | − | 0.503842i | ||||
\(55\) | −509.859 | + | 234.605i | −1.24999 | + | 0.575166i | ||||
\(56\) | 272.333i | 0.649858i | ||||||||
\(57\) | 530.064 | − | 78.2385i | 1.23173 | − | 0.181806i | ||||
\(58\) | −8.86882 | + | 6.44358i | −0.0200782 | + | 0.0145876i | ||||
\(59\) | −30.0319 | + | 41.3354i | −0.0662681 | + | 0.0912103i | −0.840865 | − | 0.541245i | \(-0.817953\pi\) |
0.774596 | + | 0.632456i | \(0.217953\pi\) | |||||||
\(60\) | −336.704 | + | 329.683i | −0.724473 | + | 0.709366i | ||||
\(61\) | 52.8443 | − | 17.1701i | 0.110918 | − | 0.0360395i | −0.253032 | − | 0.967458i | \(-0.581428\pi\) |
0.363950 | + | 0.931418i | \(0.381428\pi\) | |||||||
\(62\) | 256.495 | + | 186.354i | 0.525401 | + | 0.381726i | ||||
\(63\) | 364.662 | + | 7.68508i | 0.729255 | + | 0.0153687i | ||||
\(64\) | 39.6731 | − | 122.101i | 0.0774865 | − | 0.238479i | ||||
\(65\) | 348.198 | 0.664442 | ||||||||
\(66\) | −214.060 | − | 172.692i | −0.399226 | − | 0.322074i | ||||
\(67\) | −5.78593 | −0.0105502 | −0.00527510 | − | 0.999986i | \(-0.501679\pi\) | ||||
−0.00527510 | + | 0.999986i | \(0.501679\pi\) | |||||||
\(68\) | 161.010 | − | 495.536i | 0.287136 | − | 0.883715i | ||||
\(69\) | 196.738 | + | 102.868i | 0.343254 | + | 0.179477i | ||||
\(70\) | 243.927 | + | 177.223i | 0.416498 | + | 0.302604i | ||||
\(71\) | 69.3325 | − | 22.5275i | 0.115891 | − | 0.0376553i | −0.250497 | − | 0.968117i | \(-0.580594\pi\) |
0.366388 | + | 0.930462i | \(0.380594\pi\) | |||||||
\(72\) | −514.005 | − | 179.069i | −0.841334 | − | 0.293104i | ||||
\(73\) | −170.116 | + | 234.145i | −0.272748 | + | 0.375406i | −0.923315 | − | 0.384043i | \(-0.874531\pi\) |
0.650567 | + | 0.759449i | \(0.274531\pi\) | |||||||
\(74\) | 365.225 | − | 265.351i | 0.573737 | − | 0.416844i | ||||
\(75\) | 84.7220 | + | 573.990i | 0.130438 | + | 0.883715i | ||||
\(76\) | − | 607.879i | − | 0.917480i | ||||||
\(77\) | 241.124 | − | 429.834i | 0.356865 | − | 0.636157i | ||||
\(78\) | 75.8594 | + | 152.842i | 0.110120 | + | 0.221872i | ||||
\(79\) | 605.982 | + | 196.896i | 0.863017 | + | 0.280411i | 0.706888 | − | 0.707326i | \(-0.250099\pi\) |
0.156129 | + | 0.987737i | \(0.450099\pi\) | |||||||
\(80\) | 161.975 | + | 222.939i | 0.226367 | + | 0.311567i | ||||
\(81\) | −254.283 | + | 683.214i | −0.348811 | + | 0.937193i | ||||
\(82\) | 148.991 | + | 458.548i | 0.200650 | + | 0.617538i | ||||
\(83\) | 360.606 | + | 1109.83i | 0.476887 | + | 1.46771i | 0.843396 | + | 0.537292i | \(0.180553\pi\) |
−0.366509 | + | 0.930414i | \(0.619447\pi\) | |||||||
\(84\) | 69.0357 | − | 408.005i | 0.0896715 | − | 0.529965i | ||||
\(85\) | −799.210 | − | 1100.02i | −1.01984 | − | 1.40369i | ||||
\(86\) | −578.953 | − | 188.113i | −0.725932 | − | 0.235870i | ||||
\(87\) | 35.1687 | − | 17.4551i | 0.0433388 | − | 0.0215101i | ||||
\(88\) | −540.432 | + | 498.852i | −0.654662 | + | 0.604294i | ||||
\(89\) | − | 1316.37i | − | 1.56780i | −0.620885 | − | 0.783902i | \(-0.713227\pi\) | ||
0.620885 | − | 0.783902i | \(-0.286773\pi\) | |||||||
\(90\) | −494.885 | + | 343.860i | −0.579616 | + | 0.402734i | ||||
\(91\) | −247.368 | + | 179.723i | −0.284958 | + | 0.207034i | ||||
\(92\) | 148.046 | − | 203.768i | 0.167771 | − | 0.230916i | ||||
\(93\) | −794.415 | − | 811.333i | −0.885774 | − | 0.904638i | ||||
\(94\) | 235.162 | − | 76.4088i | 0.258033 | − | 0.0838400i | ||||
\(95\) | −1283.36 | − | 932.413i | −1.38600 | − | 1.00698i | ||||
\(96\) | −450.866 | + | 862.293i | −0.479336 | + | 0.916744i | ||||
\(97\) | 189.307 | − | 582.626i | 0.198157 | − | 0.609863i | −0.801769 | − | 0.597635i | \(-0.796107\pi\) |
0.999925 | − | 0.0122287i | \(-0.00389261\pi\) | |||||||
\(98\) | 232.869 | 0.240034 | ||||||||
\(99\) | 652.726 | + | 737.731i | 0.662641 | + | 0.748937i | ||||
\(100\) | 658.253 | 0.658253 | ||||||||
\(101\) | −403.105 | + | 1240.63i | −0.397133 | + | 1.22225i | 0.530155 | + | 0.847901i | \(0.322134\pi\) |
−0.927288 | + | 0.374349i | \(0.877866\pi\) | |||||||
\(102\) | 308.737 | − | 590.467i | 0.299701 | − | 0.573186i | ||||
\(103\) | 490.092 | + | 356.073i | 0.468837 | + | 0.340630i | 0.796988 | − | 0.603995i | \(-0.206425\pi\) |
−0.328151 | + | 0.944625i | \(0.606425\pi\) | |||||||
\(104\) | 433.958 | − | 141.001i | 0.409164 | − | 0.132945i | ||||
\(105\) | −755.490 | − | 771.580i | −0.702174 | − | 0.717128i | ||||
\(106\) | −295.331 | + | 406.488i | −0.270614 | + | 0.372468i | ||||
\(107\) | 412.951 | − | 300.026i | 0.373098 | − | 0.271072i | −0.385396 | − | 0.922751i | \(-0.625935\pi\) |
0.758494 | + | 0.651680i | \(0.225935\pi\) | |||||||
\(108\) | 724.681 | + | 398.577i | 0.645671 | + | 0.355121i | ||||
\(109\) | 480.195i | 0.421966i | 0.977490 | + | 0.210983i | \(0.0676665\pi\) | ||||
−0.977490 | + | 0.210983i | \(0.932334\pi\) | |||||||
\(110\) | 95.1274 | + | 808.695i | 0.0824549 | + | 0.700964i | ||||
\(111\) | −1448.27 | + | 718.813i | −1.23841 | + | 0.614655i | ||||
\(112\) | −230.141 | − | 74.7774i | −0.194163 | − | 0.0630875i | ||||
\(113\) | −249.991 | − | 344.083i | −0.208117 | − | 0.286448i | 0.692180 | − | 0.721725i | \(-0.256650\pi\) |
−0.900297 | + | 0.435277i | \(0.856650\pi\) | |||||||
\(114\) | 129.689 | − | 766.469i | 0.106548 | − | 0.629706i | ||||
\(115\) | −203.111 | − | 625.112i | −0.164698 | − | 0.506887i | ||||
\(116\) | −13.7647 | − | 42.3632i | −0.0110174 | − | 0.0339080i | ||||
\(117\) | −176.559 | − | 585.060i | −0.139512 | − | 0.462298i | ||||
\(118\) | 43.5712 | + | 59.9706i | 0.0339920 | + | 0.0467859i | ||||
\(119\) | 1135.55 | + | 368.964i | 0.874756 | + | 0.284226i | ||||
\(120\) | 716.426 | + | 1443.46i | 0.545004 | + | 1.09808i | ||||
\(121\) | 1294.67 | − | 308.859i | 0.972704 | − | 0.232050i | ||||
\(122\) | − | 80.6135i | − | 0.0598230i | ||||||
\(123\) | −252.148 | − | 1708.30i | −0.184841 | − | 1.25229i | ||||
\(124\) | −1042.20 | + | 757.206i | −0.754780 | + | 0.548380i | ||||
\(125\) | −120.614 | + | 166.012i | −0.0863047 | + | 0.118788i | ||||
\(126\) | 174.093 | − | 499.722i | 0.123091 | − | 0.353324i | ||||
\(127\) | 450.079 | − | 146.240i | 0.314473 | − | 0.102178i | −0.147528 | − | 0.989058i | \(-0.547132\pi\) |
0.462001 | + | 0.886879i | \(0.347132\pi\) | |||||||
\(128\) | 1061.31 | + | 771.084i | 0.732868 | + | 0.532460i | ||||
\(129\) | 1932.07 | + | 1010.22i | 1.31867 | + | 0.689493i | ||||
\(130\) | 156.108 | − | 480.451i | 0.105320 | − | 0.324141i | ||||
\(131\) | −1881.17 | −1.25465 | −0.627324 | − | 0.778759i | \(-0.715850\pi\) | ||||
−0.627324 | + | 0.778759i | \(0.715850\pi\) | |||||||
\(132\) | 936.125 | − | 610.375i | 0.617267 | − | 0.402472i | ||||
\(133\) | 1392.99 | 0.908179 | ||||||||
\(134\) | −2.59401 | + | 7.98354i | −0.00167230 | + | 0.00514681i | ||||
\(135\) | 1953.05 | − | 918.580i | 1.24513 | − | 0.585621i | ||||
\(136\) | −1441.50 | − | 1047.31i | −0.908878 | − | 0.660339i | ||||
\(137\) | 1034.24 | − | 336.045i | 0.644971 | − | 0.209564i | 0.0317758 | − | 0.999495i | \(-0.489884\pi\) |
0.613196 | + | 0.789931i | \(0.289884\pi\) | |||||||
\(138\) | 230.144 | − | 225.345i | 0.141965 | − | 0.139004i | ||||
\(139\) | −1497.20 | + | 2060.72i | −0.913606 | + | 1.25747i | 0.0523145 | + | 0.998631i | \(0.483340\pi\) |
−0.965920 | + | 0.258840i | \(0.916660\pi\) | |||||||
\(140\) | −991.139 | + | 720.105i | −0.598332 | + | 0.434714i | ||||
\(141\) | −876.085 | + | 129.312i | −0.523260 | + | 0.0772342i | ||||
\(142\) | − | 105.766i | − | 0.0625050i | ||||||
\(143\) | −809.775 | − | 161.678i | −0.473544 | − | 0.0945468i | ||||
\(144\) | 292.462 | − | 385.203i | 0.169249 | − | 0.222918i | ||||
\(145\) | −110.551 | − | 35.9201i | −0.0633155 | − | 0.0205724i | ||||
\(146\) | 246.810 | + | 339.705i | 0.139905 | + | 0.192563i | ||||
\(147\) | −822.332 | − | 139.141i | −0.461393 | − | 0.0780691i | ||||
\(148\) | 566.838 | + | 1744.55i | 0.314823 | + | 0.968926i | ||||
\(149\) | −76.9381 | − | 236.791i | −0.0423021 | − | 0.130193i | 0.927675 | − | 0.373389i | \(-0.121804\pi\) |
−0.969977 | + | 0.243196i | \(0.921804\pi\) | |||||||
\(150\) | 829.986 | + | 140.436i | 0.451787 | + | 0.0764437i | ||||
\(151\) | −1196.13 | − | 1646.33i | −0.644633 | − | 0.887261i | 0.354219 | − | 0.935162i | \(-0.384747\pi\) |
−0.998852 | + | 0.0479013i | \(0.984747\pi\) | |||||||
\(152\) | −1977.02 | − | 642.372i | −1.05498 | − | 0.342784i | ||||
\(153\) | −1443.05 | + | 1900.65i | −0.762510 | + | 1.00430i | ||||
\(154\) | −484.990 | − | 525.415i | −0.253777 | − | 0.274930i | ||||
\(155\) | 3361.77i | 1.74209i | ||||||||
\(156\) | −685.892 | + | 101.239i | −0.352021 | + | 0.0519591i | ||||
\(157\) | −2128.45 | + | 1546.41i | −1.08197 | + | 0.786094i | −0.978025 | − | 0.208489i | \(-0.933145\pi\) |
−0.103941 | + | 0.994583i | \(0.533145\pi\) | |||||||
\(158\) | 543.361 | − | 747.872i | 0.273592 | − | 0.376567i | ||||
\(159\) | 1285.78 | − | 1258.97i | 0.641317 | − | 0.627944i | ||||
\(160\) | 2739.83 | − | 890.225i | 1.35377 | − | 0.439865i | ||||
\(161\) | 466.948 | + | 339.257i | 0.228575 | + | 0.166070i | ||||
\(162\) | 828.709 | + | 657.171i | 0.401911 | + | 0.318718i | ||||
\(163\) | 656.968 | − | 2021.94i | 0.315692 | − | 0.971599i | −0.659777 | − | 0.751461i | \(-0.729349\pi\) |
0.975469 | − | 0.220138i | \(-0.0706507\pi\) | |||||||
\(164\) | −1959.08 | −0.932797 | ||||||||
\(165\) | 147.278 | − | 2912.59i | 0.0694882 | − | 1.37421i | ||||
\(166\) | 1693.04 | 0.791597 | ||||||||
\(167\) | 700.253 | − | 2155.16i | 0.324474 | − | 0.998630i | −0.647203 | − | 0.762318i | \(-0.724061\pi\) |
0.971677 | − | 0.236312i | \(-0.0759387\pi\) | |||||||
\(168\) | −1254.01 | − | 655.683i | −0.575887 | − | 0.301113i | ||||
\(169\) | −1362.95 | − | 990.240i | −0.620368 | − | 0.450724i | ||||
\(170\) | −1876.14 | + | 609.594i | −0.846431 | + | 0.275022i | ||||
\(171\) | −915.943 | + | 2629.15i | −0.409614 | + | 1.17577i | ||||
\(172\) | 1453.89 | − | 2001.10i | 0.644522 | − | 0.887108i | ||||
\(173\) | −815.683 | + | 592.629i | −0.358470 | + | 0.260443i | −0.752414 | − | 0.658691i | \(-0.771110\pi\) |
0.393944 | + | 0.919135i | \(0.371110\pi\) | |||||||
\(174\) | −8.31769 | − | 56.3521i | −0.00362392 | − | 0.0245520i | ||||
\(175\) | 1508.43i | 0.651580i | ||||||||
\(176\) | −273.174 | − | 593.680i | −0.116996 | − | 0.254263i | ||||
\(177\) | −118.030 | − | 237.809i | −0.0501227 | − | 0.100988i | ||||
\(178\) | −1816.35 | − | 590.167i | −0.764838 | − | 0.248511i | ||||
\(179\) | −743.933 | − | 1023.94i | −0.310638 | − | 0.427556i | 0.624942 | − | 0.780671i | \(-0.285123\pi\) |
−0.935580 | + | 0.353115i | \(0.885123\pi\) | |||||||
\(180\) | −707.425 | − | 2344.18i | −0.292935 | − | 0.970695i | ||||
\(181\) | 145.915 | + | 449.081i | 0.0599215 | + | 0.184420i | 0.976537 | − | 0.215351i | \(-0.0690897\pi\) |
−0.916615 | + | 0.399771i | \(0.869090\pi\) | |||||||
\(182\) | 137.083 | + | 421.899i | 0.0558313 | + | 0.171831i | ||||
\(183\) | −48.1672 | + | 284.671i | −0.0194570 | + | 0.114992i | ||||
\(184\) | −506.273 | − | 696.825i | −0.202842 | − | 0.279188i | ||||
\(185\) | 4552.56 | + | 1479.22i | 1.80925 | + | 0.587861i | ||||
\(186\) | −1475.66 | + | 732.404i | −0.581722 | + | 0.288723i | ||||
\(187\) | 1347.88 | + | 2929.31i | 0.527097 | + | 1.14552i | ||||
\(188\) | 1004.70i | 0.389761i | ||||||||
\(189\) | −913.365 | + | 1660.65i | −0.351521 | + | 0.639125i | ||||
\(190\) | −1861.93 | + | 1352.77i | −0.710940 | + | 0.516528i | ||||
\(191\) | 1511.15 | − | 2079.92i | 0.572477 | − | 0.787946i | −0.420369 | − | 0.907353i | \(-0.638099\pi\) |
0.992845 | + | 0.119407i | \(0.0380993\pi\) | |||||||
\(192\) | 466.720 | + | 476.659i | 0.175430 | + | 0.179166i | ||||
\(193\) | 2442.70 | − | 793.680i | 0.911032 | − | 0.296012i | 0.184249 | − | 0.982880i | \(-0.441015\pi\) |
0.726783 | + | 0.686867i | \(0.241015\pi\) | |||||||
\(194\) | −719.048 | − | 522.419i | −0.266106 | − | 0.193338i | ||||
\(195\) | −838.340 | + | 1603.35i | −0.307871 | + | 0.588811i | ||||
\(196\) | −292.394 | + | 899.895i | −0.106557 | + | 0.327950i | ||||
\(197\) | 5180.24 | 1.87348 | 0.936742 | − | 0.350020i | \(-0.113825\pi\) | ||||
0.936742 | + | 0.350020i | \(0.113825\pi\) | |||||||
\(198\) | 1310.57 | − | 569.898i | 0.470396 | − | 0.204550i | ||||
\(199\) | 4242.24 | 1.51118 | 0.755590 | − | 0.655045i | \(-0.227350\pi\) | ||||
0.755590 | + | 0.655045i | \(0.227350\pi\) | |||||||
\(200\) | 695.605 | − | 2140.85i | 0.245933 | − | 0.756905i | ||||
\(201\) | 13.9305 | − | 26.6424i | 0.00488846 | − | 0.00934931i | ||||
\(202\) | 1531.12 | + | 1112.43i | 0.533314 | + | 0.387475i | ||||
\(203\) | 97.0781 | − | 31.5426i | 0.0335643 | − | 0.0109057i | ||||
\(204\) | 1894.14 | + | 1934.48i | 0.650080 | + | 0.663924i | ||||
\(205\) | −3005.00 | + | 4136.02i | −1.02380 | + | 1.40913i | ||||
\(206\) | 711.040 | − | 516.601i | 0.240488 | − | 0.174725i | ||||
\(207\) | −947.354 | + | 658.249i | −0.318095 | + | 0.221022i | ||||
\(208\) | 405.442i | 0.135156i | ||||||||
\(209\) | 2551.65 | + | 2764.33i | 0.844502 | + | 0.914893i | ||||
\(210\) | −1403.35 | + | 696.518i | −0.461145 | + | 0.228878i | ||||
\(211\) | −2779.83 | − | 903.222i | −0.906974 | − | 0.294694i | −0.181861 | − | 0.983324i | \(-0.558212\pi\) |
−0.725112 | + | 0.688631i | \(0.758212\pi\) | |||||||
\(212\) | −1200.00 | − | 1651.67i | −0.388758 | − | 0.535079i | ||||
\(213\) | −63.1962 | + | 373.494i | −0.0203293 | + | 0.120147i | ||||
\(214\) | −228.844 | − | 704.309i | −0.0731003 | − | 0.224979i | ||||
\(215\) | −1994.65 | − | 6138.90i | −0.632716 | − | 1.94730i | ||||
\(216\) | 2062.10 | − | 1935.70i | 0.649576 | − | 0.609758i | ||||
\(217\) | −1735.19 | − | 2388.28i | −0.542821 | − | 0.747129i | ||||
\(218\) | 662.583 | + | 215.286i | 0.205852 | + | 0.0668854i | ||||
\(219\) | −668.586 | − | 1347.07i | −0.206296 | − | 0.415647i | ||||
\(220\) | −3244.56 | − | 647.801i | −0.994308 | − | 0.198522i | ||||
\(221\) | − | 2000.52i | − | 0.608911i | ||||||
\(222\) | 342.528 | + | 2320.62i | 0.103554 | + | 0.701576i | ||||
\(223\) | 2533.88 | − | 1840.97i | 0.760902 | − | 0.552828i | −0.138285 | − | 0.990393i | \(-0.544159\pi\) |
0.899187 | + | 0.437565i | \(0.144159\pi\) | |||||||
\(224\) | −1486.95 | + | 2046.61i | −0.443530 | + | 0.610467i | ||||
\(225\) | −2847.03 | − | 991.847i | −0.843564 | − | 0.293881i | ||||
\(226\) | −586.852 | + | 190.680i | −0.172729 | + | 0.0561231i | ||||
\(227\) | −1387.28 | − | 1007.92i | −0.405627 | − | 0.294705i | 0.366202 | − | 0.930535i | \(-0.380658\pi\) |
−0.771829 | + | 0.635830i | \(0.780658\pi\) | |||||||
\(228\) | 2799.10 | + | 1463.56i | 0.813047 | + | 0.425117i | ||||
\(229\) | 1020.78 | − | 3141.64i | 0.294564 | − | 0.906574i | −0.688804 | − | 0.724948i | \(-0.741864\pi\) |
0.983368 | − | 0.181626i | \(-0.0581362\pi\) | |||||||
\(230\) | −953.603 | −0.273386 | ||||||||
\(231\) | 1398.71 | + | 2145.19i | 0.398392 | + | 0.611009i | ||||
\(232\) | −152.325 | −0.0431060 | ||||||||
\(233\) | −1254.78 | + | 3861.83i | −0.352805 | + | 1.08582i | 0.604466 | + | 0.796631i | \(0.293387\pi\) |
−0.957271 | + | 0.289192i | \(0.906613\pi\) | |||||||
\(234\) | −886.435 | − | 18.6812i | −0.247641 | − | 0.00521893i | ||||
\(235\) | 2121.12 | + | 1541.09i | 0.588795 | + | 0.427784i | ||||
\(236\) | −286.458 | + | 93.0759i | −0.0790120 | + | 0.0256726i | ||||
\(237\) | −2365.64 | + | 2316.31i | −0.648374 | + | 0.634854i | ||||
\(238\) | 1018.21 | − | 1401.44i | 0.277313 | − | 0.381689i | ||||
\(239\) | 1214.08 | − | 882.084i | 0.328588 | − | 0.238733i | −0.411243 | − | 0.911526i | \(-0.634905\pi\) |
0.739831 | + | 0.672792i | \(0.234905\pi\) | |||||||
\(240\) | −1416.55 | + | 209.085i | −0.380990 | + | 0.0562350i | ||||
\(241\) | 386.818i | 0.103391i | 0.998663 | + | 0.0516953i | \(0.0164625\pi\) | ||||
−0.998663 | + | 0.0516953i | \(0.983538\pi\) | |||||||
\(242\) | 154.270 | − | 1924.88i | 0.0409786 | − | 0.511306i | ||||
\(243\) | −2533.77 | − | 2815.84i | −0.668894 | − | 0.743358i | ||||
\(244\) | 311.522 | + | 101.220i | 0.0817342 | + | 0.0265570i | ||||
\(245\) | 1451.37 | + | 1997.64i | 0.378467 | + | 0.520915i | ||||
\(246\) | −2470.19 | − | 417.964i | −0.640218 | − | 0.108327i | ||||
\(247\) | −721.227 | − | 2219.71i | −0.185792 | − | 0.571808i | ||||
\(248\) | 1361.33 | + | 4189.76i | 0.348568 | + | 1.07278i | ||||
\(249\) | −5978.64 | − | 1011.60i | −1.52161 | − | 0.257461i | ||||
\(250\) | 174.991 | + | 240.854i | 0.0442696 | + | 0.0609319i | ||||
\(251\) | −3507.99 | − | 1139.81i | −0.882160 | − | 0.286631i | −0.167306 | − | 0.985905i | \(-0.553507\pi\) |
−0.714854 | + | 0.699274i | \(0.753507\pi\) | |||||||
\(252\) | 1712.53 | + | 1300.22i | 0.428091 | + | 0.325025i | ||||
\(253\) | 182.102 | + | 1548.08i | 0.0452515 | + | 0.384691i | ||||
\(254\) | − | 686.592i | − | 0.169609i | ||||||
\(255\) | 6989.46 | − | 1031.66i | 1.71646 | − | 0.253353i | ||||
\(256\) | 2370.70 | − | 1722.41i | 0.578784 | − | 0.420511i | ||||
\(257\) | −2603.71 | + | 3583.70i | −0.631966 | + | 0.869826i | −0.998155 | − | 0.0607142i | \(-0.980662\pi\) |
0.366190 | + | 0.930540i | \(0.380662\pi\) | |||||||
\(258\) | 2260.12 | − | 2212.99i | 0.545384 | − | 0.534011i | ||||
\(259\) | −3997.75 | + | 1298.95i | −0.959103 | + | 0.311632i | ||||
\(260\) | 1660.64 | + | 1206.52i | 0.396109 | + | 0.287790i | ||||
\(261\) | −4.29851 | + | 203.967i | −0.00101943 | + | 0.0483725i | ||||
\(262\) | −843.388 | + | 2595.68i | −0.198873 | + | 0.612068i | ||||
\(263\) | −6282.05 | −1.47288 | −0.736441 | − | 0.676502i | \(-0.763495\pi\) | ||||
−0.736441 | + | 0.676502i | \(0.763495\pi\) | |||||||
\(264\) | −995.891 | − | 3689.59i | −0.232170 | − | 0.860146i | ||||
\(265\) | −5327.67 | −1.23500 | ||||||||
\(266\) | 624.522 | − | 1922.08i | 0.143954 | − | 0.443046i | ||||
\(267\) | 6061.46 | + | 3169.35i | 1.38935 | + | 0.726446i | ||||
\(268\) | −27.5944 | − | 20.0485i | −0.00628954 | − | 0.00456962i | ||||
\(269\) | 392.748 | − | 127.612i | 0.0890196 | − | 0.0289242i | −0.264169 | − | 0.964477i | \(-0.585098\pi\) |
0.353188 | + | 0.935552i | \(0.385098\pi\) | |||||||
\(270\) | −391.863 | − | 3106.69i | −0.0883259 | − | 0.700249i | ||||
\(271\) | 1266.94 | − | 1743.79i | 0.283989 | − | 0.390878i | −0.643061 | − | 0.765815i | \(-0.722336\pi\) |
0.927050 | + | 0.374937i | \(0.122336\pi\) | |||||||
\(272\) | 1280.86 | − | 930.599i | 0.285528 | − | 0.207448i | ||||
\(273\) | −231.996 | − | 1571.77i | −0.0514323 | − | 0.348453i | ||||
\(274\) | − | 1577.73i | − | 0.347861i | ||||||
\(275\) | −2993.41 | + | 2763.10i | −0.656397 | + | 0.605895i | ||||
\(276\) | 581.847 | + | 1172.31i | 0.126895 | + | 0.255670i | ||||
\(277\) | 5557.55 | + | 1805.76i | 1.20549 | + | 0.391688i | 0.841778 | − | 0.539823i | \(-0.181509\pi\) |
0.363713 | + | 0.931511i | \(0.381509\pi\) | |||||||
\(278\) | 2172.19 | + | 2989.76i | 0.468630 | + | 0.645014i | ||||
\(279\) | 5648.62 | − | 1704.63i | 1.21209 | − | 0.365784i | ||||
\(280\) | 1294.63 | + | 3984.47i | 0.276318 | + | 0.850420i | ||||
\(281\) | −60.6140 | − | 186.551i | −0.0128681 | − | 0.0396038i | 0.944416 | − | 0.328752i | \(-0.106628\pi\) |
−0.957284 | + | 0.289148i | \(0.906628\pi\) | |||||||
\(282\) | −214.349 | + | 1266.81i | −0.0452634 | + | 0.267510i | ||||
\(283\) | −863.504 | − | 1188.51i | −0.181378 | − | 0.249645i | 0.708641 | − | 0.705570i | \(-0.249309\pi\) |
−0.890019 | + | 0.455924i | \(0.849309\pi\) | |||||||
\(284\) | 408.722 | + | 132.802i | 0.0853985 | + | 0.0277477i | ||||
\(285\) | 7383.35 | − | 3664.54i | 1.53457 | − | 0.761644i | ||||
\(286\) | −586.134 | + | 1044.86i | −0.121185 | + | 0.216027i | ||||
\(287\) | − | 4489.36i | − | 0.923340i | ||||||
\(288\) | −2885.07 | − | 4152.20i | −0.590293 | − | 0.849551i | ||||
\(289\) | −2345.27 | + | 1703.94i | −0.477359 | + | 0.346822i | ||||
\(290\) | −99.1267 | + | 136.436i | −0.0200721 | + | 0.0276269i | ||||
\(291\) | 2227.03 | + | 2274.46i | 0.448629 | + | 0.458183i | ||||
\(292\) | −1622.65 | + | 527.231i | −0.325200 | + | 0.105664i | ||||
\(293\) | 3161.32 | + | 2296.83i | 0.630328 | + | 0.457960i | 0.856514 | − | 0.516124i | \(-0.172626\pi\) |
−0.226186 | + | 0.974084i | \(0.572626\pi\) | |||||||
\(294\) | −560.667 | + | 1072.29i | −0.111220 | + | 0.212712i | ||||
\(295\) | −242.890 | + | 747.539i | −0.0479377 | + | 0.147537i | ||||
\(296\) | 6272.84 | 1.23176 | ||||||||
\(297\) | −4968.56 | + | 1229.41i | −0.970725 | + | 0.240193i | ||||
\(298\) | −361.223 | −0.0702184 | ||||||||
\(299\) | 298.837 | − | 919.724i | 0.0577999 | − | 0.177890i | ||||
\(300\) | −1584.84 | + | 3031.06i | −0.305003 | + | 0.583327i | ||||
\(301\) | 4585.65 | + | 3331.67i | 0.878115 | + | 0.637988i | ||||
\(302\) | −2807.90 | + | 912.343i | −0.535022 | + | 0.173839i | ||||
\(303\) | −4742.19 | − | 4843.18i | −0.899114 | − | 0.918262i | ||||
\(304\) | 1085.70 | − | 1494.34i | 0.204833 | − | 0.281928i | ||||
\(305\) | 691.533 | − | 502.428i | 0.129826 | − | 0.0943244i | ||||
\(306\) | 1975.59 | + | 2843.28i | 0.369075 | + | 0.531174i | ||||
\(307\) | − | 8159.29i | − | 1.51686i | −0.651756 | − | 0.758429i | \(-0.725967\pi\) | ||
0.651756 | − | 0.758429i | \(-0.274033\pi\) | |||||||
\(308\) | 2639.37 | − | 1214.47i | 0.488286 | − | 0.224678i | ||||
\(309\) | −2819.58 | + | 1399.43i | −0.519094 | + | 0.257639i | ||||
\(310\) | 4638.64 | + | 1507.19i | 0.849862 | + | 0.276137i | ||||
\(311\) | −780.936 | − | 1074.87i | −0.142388 | − | 0.195981i | 0.731866 | − | 0.681448i | \(-0.238649\pi\) |
−0.874255 | + | 0.485467i | \(0.838649\pi\) | |||||||
\(312\) | −395.550 | + | 2337.73i | −0.0717744 | + | 0.424191i | ||||
\(313\) | −771.697 | − | 2375.04i | −0.139357 | − | 0.428898i | 0.856885 | − | 0.515508i | \(-0.172397\pi\) |
−0.996242 | + | 0.0866096i | \(0.972397\pi\) | |||||||
\(314\) | 1179.52 | + | 3630.18i | 0.211987 | + | 0.652429i | ||||
\(315\) | 5371.85 | − | 1621.11i | 0.960855 | − | 0.289965i | ||||
\(316\) | 2207.82 | + | 3038.80i | 0.393036 | + | 0.540968i | ||||
\(317\) | −4709.49 | − | 1530.21i | −0.834421 | − | 0.271120i | −0.139515 | − | 0.990220i | \(-0.544554\pi\) |
−0.694907 | + | 0.719100i | \(0.744554\pi\) | |||||||
\(318\) | −1160.70 | − | 2338.59i | −0.204682 | − | 0.412395i | ||||
\(319\) | 240.420 | + | 134.868i | 0.0421972 | + | 0.0236714i | ||||
\(320\) | − | 1975.05i | − | 0.345026i | ||||||
\(321\) | 387.289 | + | 2623.87i | 0.0673407 | + | 0.456231i | ||||
\(322\) | 677.461 | − | 492.205i | 0.117247 | − | 0.0851847i | ||||
\(323\) | −5357.02 | + | 7373.31i | −0.922825 | + | 1.27016i | ||||
\(324\) | −3580.10 | + | 2377.30i | −0.613873 | + | 0.407630i | ||||
\(325\) | 2403.65 | − | 780.994i | 0.410248 | − | 0.133298i | ||||
\(326\) | −2495.38 | − | 1813.00i | −0.423945 | − | 0.308014i | ||||
\(327\) | −2211.15 | − | 1156.14i | −0.373935 | − | 0.195519i | ||||
\(328\) | −2070.25 | + | 6371.57i | −0.348507 | + | 1.07259i | ||||
\(329\) | −2302.33 | −0.385810 | ||||||||
\(330\) | −3952.83 | − | 1509.02i | −0.659382 | − | 0.251724i | ||||
\(331\) | −1393.22 | −0.231354 | −0.115677 | − | 0.993287i | \(-0.536904\pi\) | ||||
−0.115677 | + | 0.993287i | \(0.536904\pi\) | |||||||
\(332\) | −2125.80 | + | 6542.55i | −0.351412 | + | 1.08153i | ||||
\(333\) | 177.016 | − | 8399.50i | 0.0291303 | − | 1.38225i | ||||
\(334\) | −2659.79 | − | 1932.45i | −0.435740 | − | 0.316583i | ||||
\(335\) | −84.6531 | + | 27.5055i | −0.0138062 | + | 0.00448592i | ||||
\(336\) | 898.427 | − | 879.693i | 0.145873 | − | 0.142831i | ||||
\(337\) | 617.756 | − | 850.268i | 0.0998556 | − | 0.137439i | −0.756165 | − | 0.654381i | \(-0.772929\pi\) |
0.856021 | + | 0.516941i | \(0.172929\pi\) | |||||||
\(338\) | −1977.41 | + | 1436.67i | −0.318215 | + | 0.231197i | ||||
\(339\) | 2186.29 | − | 322.701i | 0.350274 | − | 0.0517012i | ||||
\(340\) | − | 8015.54i | − | 1.27854i | ||||||
\(341\) | 1560.96 | − | 7818.18i | 0.247891 | − | 1.24158i | ||||
\(342\) | 3217.11 | + | 2442.57i | 0.508659 | + | 0.386196i | ||||
\(343\) | −6468.97 | − | 2101.89i | −1.01834 | − | 0.330879i | ||||
\(344\) | −4971.84 | − | 6843.15i | −0.779255 | − | 1.07255i | ||||
\(345\) | 3367.47 | + | 569.786i | 0.525503 | + | 0.0889166i | ||||
\(346\) | 452.025 | + | 1391.19i | 0.0702342 | + | 0.216159i | ||||
\(347\) | 768.435 | + | 2365.00i | 0.118881 | + | 0.365878i | 0.992737 | − | 0.120307i | \(-0.0383879\pi\) |
−0.873856 | + | 0.486186i | \(0.838388\pi\) | |||||||
\(348\) | 228.210 | + | 38.6138i | 0.0351533 | + | 0.00594804i | ||||
\(349\) | 459.813 | + | 632.878i | 0.0705250 | + | 0.0970694i | 0.842822 | − | 0.538192i | \(-0.180892\pi\) |
−0.772297 | + | 0.635261i | \(0.780892\pi\) | |||||||
\(350\) | 2081.36 | + | 676.275i | 0.317867 | + | 0.103281i | ||||
\(351\) | 3119.12 | + | 595.622i | 0.474320 | + | 0.0905753i | ||||
\(352\) | −6785.14 | + | 798.141i | −1.02741 | + | 0.120855i | ||||
\(353\) | 3896.79i | 0.587551i | 0.955874 | + | 0.293775i | \(0.0949118\pi\) | ||||
−0.955874 | + | 0.293775i | \(0.905088\pi\) | |||||||
\(354\) | −381.050 | + | 56.2438i | −0.0572107 | + | 0.00844442i | ||||
\(355\) | 907.302 | − | 659.194i | 0.135647 | − | 0.0985531i | ||||
\(356\) | 4561.27 | − | 6278.05i | 0.679064 | − | 0.934652i | ||||
\(357\) | −4432.98 | + | 4340.54i | −0.657194 | + | 0.643490i | ||||
\(358\) | −1746.38 | + | 567.432i | −0.257818 | + | 0.0837702i | ||||
\(359\) | 4185.00 | + | 3040.58i | 0.615253 | + | 0.447008i | 0.851260 | − | 0.524744i | \(-0.175839\pi\) |
−0.236007 | + | 0.971751i | \(0.575839\pi\) | |||||||
\(360\) | −8371.60 | − | 176.428i | −1.22562 | − | 0.0258293i | ||||
\(361\) | −1166.20 | + | 3589.20i | −0.170025 | + | 0.523284i | ||||
\(362\) | 685.070 | 0.0994654 | ||||||||
\(363\) | −1694.91 | + | 6705.18i | −0.245068 | + | 0.969506i | ||||
\(364\) | −1802.51 | −0.259552 | ||||||||
\(365\) | −1375.86 | + | 4234.45i | −0.197303 | + | 0.607237i | ||||
\(366\) | 371.201 | + | 194.089i | 0.0530136 | + | 0.0277191i | ||||
\(367\) | 384.330 | + | 279.232i | 0.0546645 | + | 0.0397161i | 0.614782 | − | 0.788697i | \(-0.289244\pi\) |
−0.560117 | + | 0.828413i | \(0.689244\pi\) | |||||||
\(368\) | 727.880 | − | 236.503i | 0.103107 | − | 0.0335015i | ||||
\(369\) | 8473.28 | + | 2951.92i | 1.19540 | + | 0.416452i | ||||
\(370\) | 4082.11 | − | 5618.54i | 0.573564 | − | 0.789443i | ||||
\(371\) | 3784.90 | − | 2749.89i | 0.529655 | − | 0.384817i | ||||
\(372\) | −977.439 | − | 6622.12i | −0.136231 | − | 0.922960i | ||||
\(373\) | 6086.24i | 0.844862i | 0.906395 | + | 0.422431i | \(0.138823\pi\) | ||||
−0.906395 | + | 0.422431i | \(0.861177\pi\) | |||||||
\(374\) | 4646.22 | − | 546.538i | 0.642381 | − | 0.0755637i | ||||
\(375\) | −474.035 | − | 955.091i | −0.0652775 | − | 0.131522i | ||||
\(376\) | 3267.60 | + | 1061.71i | 0.448174 | + | 0.145621i | ||||
\(377\) | −100.525 | − | 138.361i | −0.0137329 | − | 0.0189017i | ||||
\(378\) | 1881.91 | + | 2004.80i | 0.256072 | + | 0.272793i | ||||
\(379\) | 2172.00 | + | 6684.72i | 0.294374 | + | 0.905991i | 0.983431 | + | 0.181284i | \(0.0580252\pi\) |
−0.689056 | + | 0.724708i | \(0.741975\pi\) | |||||||
\(380\) | −2889.77 | − | 8893.79i | −0.390110 | − | 1.20064i | ||||
\(381\) | −410.244 | + | 2424.57i | −0.0551639 | + | 0.326022i | ||||
\(382\) | −2192.42 | − | 3017.61i | −0.293649 | − | 0.404174i | ||||
\(383\) | −1109.08 | − | 360.362i | −0.147967 | − | 0.0480774i | 0.234097 | − | 0.972213i | \(-0.424787\pi\) |
−0.382064 | + | 0.924136i | \(0.624787\pi\) | |||||||
\(384\) | −6105.86 | + | 3030.49i | −0.811428 | + | 0.402732i | ||||
\(385\) | 1484.48 | − | 7435.10i | 0.196509 | − | 0.984229i | ||||
\(386\) | − | 3726.31i | − | 0.491358i | ||||||
\(387\) | −9303.48 | + | 6464.32i | −1.22202 | + | 0.849096i | ||||
\(388\) | 2921.68 | − | 2122.72i | 0.382283 | − | 0.277745i | ||||
\(389\) | 5959.68 | − | 8202.79i | 0.776780 | − | 1.06915i | −0.218849 | − | 0.975759i | \(-0.570230\pi\) |
0.995630 | − | 0.0933879i | \(-0.0297697\pi\) | |||||||
\(390\) | 1836.48 | + | 1875.59i | 0.238445 | + | 0.243524i | ||||
\(391\) | −3591.47 | + | 1166.94i | −0.464523 | + | 0.150933i | ||||
\(392\) | 2617.76 | + | 1901.92i | 0.337288 | + | 0.245054i | ||||
\(393\) | 4529.21 | − | 8662.23i | 0.581344 | − | 1.11184i | ||||
\(394\) | 2322.46 | − | 7147.80i | 0.296964 | − | 0.913961i | ||||
\(395\) | 9802.05 | 1.24859 | ||||||||
\(396\) | 556.728 | + | 5780.14i | 0.0706480 | + | 0.733492i | ||||
\(397\) | −5816.72 | −0.735348 | −0.367674 | − | 0.929955i | \(-0.619846\pi\) | ||||
−0.367674 | + | 0.929955i | \(0.619846\pi\) | |||||||
\(398\) | 1901.93 | − | 5853.54i | 0.239535 | − | 0.737214i | ||||
\(399\) | −3353.84 | + | 6414.31i | −0.420807 | + | 0.804804i | ||||
\(400\) | 1618.17 | + | 1175.67i | 0.202272 | + | 0.146959i | ||||
\(401\) | 11162.4 | − | 3626.87i | 1.39008 | − | 0.451664i | 0.484109 | − | 0.875008i | \(-0.339144\pi\) |
0.905969 | + | 0.423344i | \(0.139144\pi\) | |||||||
\(402\) | −30.5163 | − | 31.1662i | −0.00378611 | − | 0.00386674i | ||||
\(403\) | −2907.28 | + | 4001.53i | −0.359360 | + | 0.494616i | ||||
\(404\) | −6221.34 | + | 4520.07i | −0.766147 | + | 0.556639i | ||||
\(405\) | −472.483 | + | 11204.8i | −0.0579701 | + | 1.37475i | ||||
\(406\) | − | 148.092i | − | 0.0181026i | ||||||
\(407\) | −9900.66 | − | 5553.97i | −1.20579 | − | 0.676412i | ||||
\(408\) | 8293.16 | − | 4116.10i | 1.00631 | − | 0.499455i | ||||
\(409\) | 8887.64 | + | 2887.77i | 1.07449 | + | 0.349122i | 0.792234 | − | 0.610218i | \(-0.208918\pi\) |
0.282254 | + | 0.959340i | \(0.408918\pi\) | |||||||
\(410\) | 4359.74 | + | 6000.67i | 0.525152 | + | 0.722809i | ||||
\(411\) | −942.704 | + | 5571.44i | −0.113139 | + | 0.668659i | ||||
\(412\) | 1103.55 | + | 3396.38i | 0.131961 | + | 0.406136i | ||||
\(413\) | −213.289 | − | 656.437i | −0.0254123 | − | 0.0782110i | ||||
\(414\) | 483.538 | + | 1602.29i | 0.0574024 | + | 0.190213i | ||||
\(415\) | 10551.9 | + | 14523.5i | 1.24813 | + | 1.71791i | ||||
\(416\) | 4031.10 | + | 1309.78i | 0.475098 | + | 0.154369i | ||||
\(417\) | −5884.27 | − | 11855.7i | −0.691016 | − | 1.39227i | ||||
\(418\) | 4958.26 | − | 2281.48i | 0.580183 | − | 0.266964i | ||||
\(419\) | 14142.8i | 1.64898i | 0.565879 | + | 0.824488i | \(0.308537\pi\) | ||||
−0.565879 | + | 0.824488i | \(0.691463\pi\) | |||||||
\(420\) | −929.546 | − | 6297.65i | −0.107993 | − | 0.731652i | ||||
\(421\) | 4563.61 | − | 3315.66i | 0.528306 | − | 0.383837i | −0.291418 | − | 0.956596i | \(-0.594127\pi\) |
0.819724 | + | 0.572759i | \(0.194127\pi\) | |||||||
\(422\) | −2492.57 | + | 3430.73i | −0.287527 | + | 0.395747i | ||||
\(423\) | 1513.86 | − | 4345.44i | 0.174011 | − | 0.499486i | ||||
\(424\) | −6639.84 | + | 2157.42i | −0.760517 | + | 0.247107i | ||||
\(425\) | −7984.33 | − | 5800.95i | −0.911287 | − | 0.662089i | ||||
\(426\) | 487.021 | + | 254.648i | 0.0553903 | + | 0.0289618i | ||||
\(427\) | −231.951 | + | 713.872i | −0.0262878 | + | 0.0809056i | ||||
\(428\) | 3009.07 | 0.339833 | ||||||||
\(429\) | 2694.13 | − | 3339.50i | 0.303203 | − | 0.375834i | ||||
\(430\) | −9364.85 | −1.05026 | ||||||||
\(431\) | 1950.16 | − | 6001.98i | 0.217949 | − | 0.670777i | −0.780982 | − | 0.624553i | \(-0.785281\pi\) |
0.998931 | − | 0.0462242i | \(-0.0147189\pi\) | |||||||
\(432\) | 1069.59 | + | 2274.13i | 0.119122 | + | 0.253274i | ||||
\(433\) | −10100.5 | − | 7338.42i | −1.12101 | − | 0.814462i | −0.136648 | − | 0.990620i | \(-0.543633\pi\) |
−0.984362 | + | 0.176158i | \(0.943633\pi\) | |||||||
\(434\) | −4073.33 | + | 1323.51i | −0.450521 | + | 0.146383i | ||||
\(435\) | 431.569 | − | 422.570i | 0.0475682 | − | 0.0465762i | ||||
\(436\) | −1663.90 | + | 2290.16i | −0.182767 | + | 0.251557i | ||||
\(437\) | −3564.28 | + | 2589.60i | −0.390166 | + | 0.283472i | ||||
\(438\) | −2158.47 | + | 318.594i | −0.235469 | + | 0.0347558i | ||||
\(439\) | 12454.1i | 1.35399i | 0.735989 | + | 0.676994i | \(0.236718\pi\) | ||||
−0.735989 | + | 0.676994i | \(0.763282\pi\) | |||||||
\(440\) | −5535.52 | + | 9867.78i | −0.599763 | + | 1.06915i | ||||
\(441\) | 2620.59 | − | 3451.59i | 0.282971 | − | 0.372701i | ||||
\(442\) | −2760.35 | − | 896.893i | −0.297051 | − | 0.0965178i | ||||
\(443\) | 2857.23 | + | 3932.64i | 0.306436 | + | 0.421773i | 0.934266 | − | 0.356578i | \(-0.116057\pi\) |
−0.627830 | + | 0.778351i | \(0.716057\pi\) | |||||||
\(444\) | −9397.87 | − | 1590.15i | −1.00451 | − | 0.169966i | ||||
\(445\) | −6257.81 | − | 19259.6i | −0.666626 | − | 2.05166i | ||||
\(446\) | −1404.19 | − | 4321.67i | −0.149082 | − | 0.458827i | ||||
\(447\) | 1275.59 | + | 215.834i | 0.134974 | + | 0.0228380i | ||||
\(448\) | 1019.42 | + | 1403.12i | 0.107507 | + | 0.147971i | ||||
\(449\) | −1733.11 | − | 563.123i | −0.182162 | − | 0.0591880i | 0.216516 | − | 0.976279i | \(-0.430531\pi\) |
−0.398678 | + | 0.917091i | \(0.630531\pi\) | |||||||
\(450\) | −2644.98 | + | 3483.71i | −0.277079 | + | 0.364942i | ||||
\(451\) | 8908.93 | − | 8223.49i | 0.930167 | − | 0.858601i | ||||
\(452\) | − | 2507.24i | − | 0.260909i | ||||||
\(453\) | 10460.7 | − | 1544.02i | 1.08496 | − | 0.160142i | ||||
\(454\) | −2012.71 | + | 1462.32i | −0.208064 | + | 0.151168i | ||||
\(455\) | −2764.83 | + | 3805.46i | −0.284873 | + | 0.392094i | ||||
\(456\) | 7717.89 | − | 7556.95i | 0.792595 | − | 0.776067i | ||||
\(457\) | 3465.51 | − | 1126.01i | 0.354726 | − | 0.115258i | −0.126233 | − | 0.992001i | \(-0.540289\pi\) |
0.480959 | + | 0.876743i | \(0.340289\pi\) | |||||||
\(458\) | −3877.25 | − | 2816.99i | −0.395572 | − | 0.287400i | ||||
\(459\) | −5277.55 | − | 11220.9i | −0.536677 | − | 1.14106i | ||||
\(460\) | 1197.36 | − | 3685.09i | 0.121363 | − | 0.373518i | ||||
\(461\) | −18754.5 | −1.89476 | −0.947380 | − | 0.320110i | \(-0.896280\pi\) | ||||
−0.947380 | + | 0.320110i | \(0.896280\pi\) | |||||||
\(462\) | 3587.06 | − | 968.217i | 0.361224 | − | 0.0975012i | ||||
\(463\) | 5661.62 | 0.568289 | 0.284144 | − | 0.958782i | \(-0.408291\pi\) | ||||
0.284144 | + | 0.958782i | \(0.408291\pi\) | |||||||
\(464\) | 41.8254 | − | 128.725i | 0.00418469 | − | 0.0128791i | ||||
\(465\) | −15479.9 | − | 8093.97i | −1.54380 | − | 0.807202i | ||||
\(466\) | 4766.07 | + | 3462.75i | 0.473785 | + | 0.344225i | ||||
\(467\) | −4207.51 | + | 1367.10i | −0.416917 | + | 0.135465i | −0.509961 | − | 0.860197i | \(-0.670340\pi\) |
0.0930439 | + | 0.995662i | \(0.470340\pi\) | |||||||
\(468\) | 1185.21 | − | 3402.07i | 0.117065 | − | 0.336028i | ||||
\(469\) | 45.9425 | − | 63.2344i | 0.00452330 | − | 0.00622578i | ||||
\(470\) | 3077.39 | − | 2235.85i | 0.302020 | − | 0.219430i | ||||
\(471\) | −1996.18 | − | 13524.1i | −0.195285 | − | 1.32305i | ||||
\(472\) | 1030.01i | 0.100445i | ||||||||
\(473\) | 1788.33 | + | 15202.9i | 0.173842 | + | 1.47786i | ||||
\(474\) | 2135.50 | + | 4302.63i | 0.206934 | + | 0.416933i | ||||
\(475\) | −10950.5 | − | 3558.04i | −1.05778 | − | 0.343693i | ||||
\(476\) | 4137.24 | + | 5694.42i | 0.398382 | + | 0.548326i | ||||
\(477\) | 2701.47 | + | 8951.81i | 0.259312 | + | 0.859277i | ||||
\(478\) | −672.806 | − | 2070.68i | −0.0643795 | − | 0.198140i | ||||
\(479\) | 1801.66 | + | 5544.95i | 0.171858 | + | 0.528925i | 0.999476 | − | 0.0323669i | \(-0.0103045\pi\) |
−0.827618 | + | 0.561292i | \(0.810305\pi\) | |||||||
\(480\) | −2497.34 | + | 14759.4i | −0.237474 | + | 1.40349i | ||||
\(481\) | 4139.69 | + | 5697.80i | 0.392419 | + | 0.540119i | ||||
\(482\) | 533.739 | + | 173.422i | 0.0504381 | + | 0.0163883i | ||||
\(483\) | −2686.42 | + | 1333.34i | −0.253078 | + | 0.125609i | ||||
\(484\) | 7244.79 | + | 3013.07i | 0.680389 | + | 0.282971i | ||||
\(485\) | − | 9424.26i | − | 0.882337i | ||||||
\(486\) | −5021.32 | + | 2233.72i | −0.468666 | + | 0.208484i | ||||
\(487\) | 1799.47 | − | 1307.39i | 0.167437 | − | 0.121650i | −0.500911 | − | 0.865499i | \(-0.667002\pi\) |
0.668348 | + | 0.743849i | \(0.267002\pi\) | |||||||
\(488\) | 658.397 | − | 906.206i | 0.0610743 | − | 0.0840615i | ||||
\(489\) | 7728.67 | + | 7893.27i | 0.714729 | + | 0.729951i | ||||
\(490\) | 3407.07 | − | 1107.02i | 0.314114 | − | 0.102062i | ||||
\(491\) | −2341.85 | − | 1701.45i | −0.215247 | − | 0.156386i | 0.474938 | − | 0.880019i | \(-0.342471\pi\) |
−0.690184 | + | 0.723634i | \(0.742471\pi\) | |||||||
\(492\) | 4716.79 | − | 9020.98i | 0.432214 | − | 0.826620i | ||||
\(493\) | −206.373 | + | 635.151i | −0.0188531 | + | 0.0580239i | ||||
\(494\) | −3386.15 | −0.308401 | ||||||||
\(495\) | 13057.0 | + | 7690.68i | 1.18559 | + | 0.698324i | ||||
\(496\) | −3914.45 | −0.354362 | ||||||||
\(497\) | −304.324 | + | 936.612i | −0.0274664 | + | 0.0845328i | ||||
\(498\) | −4076.24 | + | 7795.92i | −0.366789 | + | 0.701493i | ||||
\(499\) | −14922.3 | − | 10841.7i | −1.33870 | − | 0.972623i | −0.999491 | − | 0.0319126i | \(-0.989840\pi\) |
−0.339210 | − | 0.940711i | \(-0.610160\pi\) | |||||||
\(500\) | −1150.48 | + | 373.813i | −0.102902 | + | 0.0334348i | ||||
\(501\) | 8237.88 | + | 8413.32i | 0.734614 | + | 0.750258i | ||||
\(502\) | −3145.48 | + | 4329.38i | −0.279660 | + | 0.384920i | ||||
\(503\) | −85.9348 | + | 62.4353i | −0.00761758 | + | 0.00553450i | −0.591588 | − | 0.806241i | \(-0.701499\pi\) |
0.583970 | + | 0.811775i | \(0.301499\pi\) | |||||||
\(504\) | 6038.44 | − | 4195.68i | 0.533678 | − | 0.370815i | ||||
\(505\) | 20067.8i | 1.76833i | ||||||||
\(506\) | 2217.71 | + | 442.784i | 0.194841 | + | 0.0389015i | ||||
\(507\) | 7841.26 | − | 3891.81i | 0.686869 | − | 0.340910i | ||||
\(508\) | 2653.26 | + | 862.096i | 0.231731 | + | 0.0752939i | ||||
\(509\) | −3878.88 | − | 5338.82i | −0.337777 | − | 0.464910i | 0.606014 | − | 0.795454i | \(-0.292768\pi\) |
−0.943790 | + | 0.330544i | \(0.892768\pi\) | |||||||
\(510\) | 1710.09 | − | 10106.7i | 0.148478 | − | 0.877517i | ||||
\(511\) | −1208.18 | − | 3718.40i | −0.104593 | − | 0.321903i | ||||
\(512\) | 1929.30 | + | 5937.77i | 0.166531 | + | 0.512529i | ||||
\(513\) | −9901.17 | − | 10547.7i | −0.852139 | − | 0.907784i | ||||
\(514\) | 3777.54 | + | 5199.34i | 0.324164 | + | 0.446173i | ||||
\(515\) | 8863.18 | + | 2879.82i | 0.758366 | + | 0.246408i | ||||
\(516\) | 5714.02 | + | 11512.7i | 0.487491 | + | 0.982202i | ||||
\(517\) | −4217.34 | − | 4568.86i | −0.358759 | − | 0.388662i | ||||
\(518\) | 6098.53i | 0.517286i | ||||||||
\(519\) | −764.994 | − | 5182.82i | −0.0647004 | − | 0.438344i | ||||
\(520\) | 5678.88 | − | 4125.94i | 0.478914 | − | 0.347951i | ||||
\(521\) | 10898.5 | − | 15000.5i | 0.916450 | − | 1.26139i | −0.0484651 | − | 0.998825i | \(-0.515433\pi\) |
0.964915 | − | 0.262561i | \(-0.0845670\pi\) | |||||||
\(522\) | 279.510 | + | 97.3758i | 0.0234365 | + | 0.00816479i | ||||
\(523\) | −729.790 | + | 237.123i | −0.0610162 | + | 0.0198254i | −0.339366 | − | 0.940654i | \(-0.610213\pi\) |
0.278350 | + | 0.960480i | \(0.410213\pi\) | |||||||
\(524\) | −8971.75 | − | 6518.36i | −0.747963 | − | 0.543427i | ||||
\(525\) | −6945.86 | − | 3631.77i | −0.577413 | − | 0.301911i | ||||
\(526\) | −2816.44 | + | 8668.11i | −0.233465 | + | 0.718531i | ||||
\(527\) | 19314.5 | 1.59649 | ||||||||
\(528\) | 3391.42 | + | 171.490i | 0.279532 | + | 0.0141347i | ||||
\(529\) | 10341.5 | 0.849965 | ||||||||
\(530\) | −2388.56 | + | 7351.23i | −0.195759 | + | 0.602485i | ||||
\(531\) | 1379.21 | + | 29.0663i | 0.112717 | + | 0.00237546i | ||||
\(532\) | 6643.50 | + | 4826.79i | 0.541414 | + | 0.393360i | ||||
\(533\) | −7153.72 | + | 2324.38i | −0.581354 | + | 0.188893i | ||||
\(534\) | 7090.67 | − | 6942.82i | 0.574613 | − | 0.562631i | ||||
\(535\) | 4615.55 | − | 6352.75i | 0.372986 | − | 0.513371i | ||||
\(536\) | −94.3645 | + | 68.5598i | −0.00760434 | + | 0.00552487i | ||||
\(537\) | 6506.04 | − | 960.305i | 0.522824 | − | 0.0771699i | ||||
\(538\) | − | 599.134i | − | 0.0480121i | ||||||
\(539\) | −2447.76 | − | 5319.63i | −0.195608 | − | 0.425107i | ||||
\(540\) | 12497.5 | + | 2386.50i | 0.995937 | + | 0.190183i | ||||
\(541\) | −14327.7 | − | 4655.35i | −1.13862 | − | 0.369961i | −0.321776 | − | 0.946816i | \(-0.604280\pi\) |
−0.816847 | + | 0.576855i | \(0.804280\pi\) | |||||||
\(542\) | −1838.11 | − | 2529.95i | −0.145671 | − | 0.200499i | ||||
\(543\) | −2419.19 | − | 409.335i | −0.191193 | − | 0.0323503i | ||||
\(544\) | −5114.64 | − | 15741.2i | −0.403103 | − | 1.24062i | ||||
\(545\) | 2282.78 | + | 7025.66i | 0.179419 | + | 0.552195i | ||||
\(546\) | −2272.77 | − | 384.559i | −0.178142 | − | 0.0301421i | ||||
\(547\) | −857.235 | − | 1179.88i | −0.0670068 | − | 0.0922270i | 0.774198 | − | 0.632943i | \(-0.218153\pi\) |
−0.841205 | + | 0.540716i | \(0.818153\pi\) | |||||||
\(548\) | 6096.94 | + | 1981.02i | 0.475271 | + | 0.154425i | ||||
\(549\) | −1194.86 | − | 907.185i | −0.0928874 | − | 0.0705240i | ||||
\(550\) | 2470.54 | + | 5369.15i | 0.191535 | + | 0.416257i | ||||
\(551\) | 779.145i | 0.0602408i | ||||||||
\(552\) | 4427.59 | − | 653.522i | 0.341396 | − | 0.0503908i | ||||
\(553\) | −6963.60 | + | 5059.35i | −0.535484 | + | 0.389052i | ||||
\(554\) | 4983.25 | − | 6858.85i | 0.382162 | − | 0.526001i | ||||
\(555\) | −17772.3 | + | 17401.7i | −1.35927 | + | 1.33092i | ||||
\(556\) | −14281.0 | + | 4640.19i | −1.08930 | + | 0.353935i | ||||
\(557\) | 9092.63 | + | 6606.18i | 0.691682 | + | 0.502537i | 0.877213 | − | 0.480102i | \(-0.159400\pi\) |
−0.185530 | + | 0.982639i | \(0.559400\pi\) | |||||||
\(558\) | 180.363 | − | 8558.32i | 0.0136834 | − | 0.649288i | ||||
\(559\) | 2934.72 | − | 9032.14i | 0.222049 | − | 0.683397i | ||||
\(560\) | −3722.65 | −0.280912 | ||||||||
\(561\) | −16733.8 | − | 846.159i | −1.25936 | − | 0.0636806i | ||||
\(562\) | −284.582 | −0.0213600 | ||||||||
\(563\) | 1166.11 | − | 3588.91i | 0.0872922 | − | 0.268658i | −0.897876 | − | 0.440248i | \(-0.854891\pi\) |
0.985168 | + | 0.171590i | \(0.0548905\pi\) | |||||||
\(564\) | −4626.32 | − | 2418.96i | −0.345396 | − | 0.180597i | ||||
\(565\) | −5293.31 | − | 3845.81i | −0.394143 | − | 0.286362i | ||||
\(566\) | −2027.07 | + | 658.634i | −0.150537 | + | 0.0489125i | ||||
\(567\) | −5447.74 | − | 8204.04i | −0.403498 | − | 0.607649i | ||||
\(568\) | 863.828 | − | 1188.96i | 0.0638124 | − | 0.0878302i | ||||
\(569\) | −5393.37 | + | 3918.51i | −0.397367 | + | 0.288704i | −0.768468 | − | 0.639889i | \(-0.778980\pi\) |
0.371101 | + | 0.928593i | \(0.378980\pi\) | |||||||
\(570\) | −1746.22 | − | 11830.6i | −0.128318 | − | 0.869352i | ||||
\(571\) | 18746.8i | 1.37396i | 0.726676 | + | 0.686980i | \(0.241064\pi\) | ||||
−0.726676 | + | 0.686980i | \(0.758936\pi\) | |||||||
\(572\) | −3301.78 | − | 3576.99i | −0.241354 | − | 0.261471i | ||||
\(573\) | 5939.08 | + | 11966.1i | 0.432999 | + | 0.872411i | ||||
\(574\) | −6194.51 | − | 2012.72i | −0.450443 | − | 0.146358i | ||||
\(575\) | −2804.20 | − | 3859.65i | −0.203379 | − | 0.279928i | ||||
\(576\) | −3318.57 | + | 1001.47i | −0.240059 | + | 0.0724446i | ||||
\(577\) | 3449.07 | + | 10615.1i | 0.248850 | + | 0.765882i | 0.994979 | + | 0.100081i | \(0.0319102\pi\) |
−0.746129 | + | 0.665801i | \(0.768090\pi\) | |||||||
\(578\) | 1299.67 | + | 3999.97i | 0.0935279 | + | 0.287849i | ||||
\(579\) | −2226.50 | + | 13158.8i | −0.159811 | + | 0.944491i | ||||
\(580\) | −402.777 | − | 554.375i | −0.0288352 | − | 0.0396883i | ||||
\(581\) | −14992.7 | − | 4871.42i | −1.07057 | − | 0.347849i | ||||
\(582\) | 4136.79 | − | 2053.19i | 0.294632 | − | 0.146233i | ||||
\(583\) | 12390.1 | + | 2473.78i | 0.880180 | + | 0.175735i | ||||
\(584\) | 5834.52i | 0.413415i | ||||||||
\(585\) | −5364.50 | − | 7720.60i | −0.379136 | − | 0.545654i | ||||
\(586\) | 4586.53 | − | 3332.31i | 0.323324 | − | 0.234909i | ||||
\(587\) | 4926.21 | − | 6780.35i | 0.346382 | − | 0.476754i | −0.599910 | − | 0.800068i | \(-0.704797\pi\) |
0.946292 | + | 0.323313i | \(0.104797\pi\) | |||||||
\(588\) | −3439.76 | − | 3513.02i | −0.241247 | − | 0.246385i | ||||
\(589\) | 21430.7 | − | 6963.27i | 1.49922 | − | 0.487125i | ||||
\(590\) | 922.575 | + | 670.290i | 0.0643759 | + | 0.0467719i | ||||
\(591\) | −12472.2 | + | 23853.4i | −0.868084 | + | 1.66023i | ||||
\(592\) | −1722.40 | + | 5301.00i | −0.119578 | + | 0.368023i | ||||
\(593\) | −18293.3 | −1.26681 | −0.633404 | − | 0.773821i | \(-0.718343\pi\) | ||||
−0.633404 | + | 0.773821i | \(0.718343\pi\) | |||||||
\(594\) | −531.200 | + | 7406.91i | −0.0366926 | + | 0.511632i | ||||
\(595\) | 18368.1 | 1.26558 | ||||||||
\(596\) | 453.557 | − | 1395.91i | 0.0311719 | − | 0.0959371i | ||||
\(597\) | −10213.8 | + | 19534.2i | −0.700209 | + | 1.33917i | ||||
\(598\) | −1135.08 | − | 824.682i | −0.0776200 | − | 0.0563942i | ||||
\(599\) | 5914.61 | − | 1921.77i | 0.403446 | − | 0.131088i | −0.100263 | − | 0.994961i | \(-0.531968\pi\) |
0.503709 | + | 0.863873i | \(0.331968\pi\) | |||||||
\(600\) | 8183.19 | + | 8357.47i | 0.556796 | + | 0.568654i | ||||
\(601\) | 14070.3 | − | 19366.2i | 0.954977 | − | 1.31441i | 0.00569594 | − | 0.999984i | \(-0.498187\pi\) |
0.949281 | − | 0.314429i | \(-0.101813\pi\) | |||||||
\(602\) | 6653.00 | − | 4833.69i | 0.450425 | − | 0.327253i | ||||
\(603\) | 89.1405 | + | 128.291i | 0.00602004 | + | 0.00866406i | ||||
\(604\) | − | 11996.4i | − | 0.808155i | ||||||
\(605\) | 17473.8 | − | 10673.5i | 1.17424 | − | 0.717258i | ||||
\(606\) | −8808.79 | + | 4372.02i | −0.590483 | + | 0.293071i | ||||
\(607\) | −1685.10 | − | 547.521i | −0.112679 | − | 0.0366115i | 0.252135 | − | 0.967692i | \(-0.418867\pi\) |
−0.364814 | + | 0.931081i | \(0.618867\pi\) | |||||||
\(608\) | −11350.1 | − | 15622.0i | −0.757083 | − | 1.04203i | ||||
\(609\) | −88.4861 | + | 522.958i | −0.00588774 | + | 0.0347969i | ||||
\(610\) | −383.225 | − | 1179.44i | −0.0254366 | − | 0.0782858i | ||||
\(611\) | 1192.04 | + | 3668.72i | 0.0789275 | + | 0.242914i | ||||
\(612\) | −13468.1 | + | 4064.39i | −0.889569 | + | 0.268453i | ||||
\(613\) | −385.212 | − | 530.199i | −0.0253810 | − | 0.0349340i | 0.796138 | − | 0.605115i | \(-0.206873\pi\) |
−0.821519 | + | 0.570181i | \(0.806873\pi\) | |||||||
\(614\) | −11258.4 | − | 3658.06i | −0.739984 | − | 0.240435i | ||||
\(615\) | −11810.2 | − | 23795.2i | −0.774360 | − | 1.56019i | ||||
\(616\) | −1160.72 | − | 9867.46i | −0.0759198 | − | 0.645408i | ||||
\(617\) | − | 11423.5i | − | 0.745371i | −0.927958 | − | 0.372685i | \(-0.878437\pi\) | ||
0.927958 | − | 0.372685i | \(-0.121563\pi\) | |||||||
\(618\) | 666.853 | + | 4517.91i | 0.0434058 | + | 0.294073i | ||||
\(619\) | −9294.19 | + | 6752.62i | −0.603497 | + | 0.438467i | −0.847119 | − | 0.531404i | \(-0.821665\pi\) |
0.243621 | + | 0.969870i | \(0.421665\pi\) | |||||||
\(620\) | −11648.7 | + | 16033.1i | −0.754554 | + | 1.03855i | ||||
\(621\) | −750.139 | − | 5947.11i | −0.0484735 | − | 0.384298i | ||||
\(622\) | −1833.24 | + | 595.656i | −0.118177 | + | 0.0383981i | ||||
\(623\) | 14386.6 | + | 10452.4i | 0.925177 | + | 0.672180i | ||||
\(624\) | −1866.94 | − | 976.163i | −0.119771 | − | 0.0626247i | ||||
\(625\) | −5288.65 | + | 16276.8i | −0.338474 | + | 1.04171i | ||||
\(626\) | −3623.10 | −0.231323 | ||||||||
\(627\) | −18872.4 | + | 5094.01i | −1.20206 | + | 0.324458i | ||||
\(628\) | −15509.4 | −0.985500 | ||||||||
\(629\) | 8498.59 | − | 26156.0i | 0.538730 | − | 1.65804i | ||||
\(630\) | 171.525 | − | 8138.98i | 0.0108472 | − | 0.514706i | ||||
\(631\) | −24595.4 | − | 17869.6i | −1.55171 | − | 1.12738i | −0.942421 | − | 0.334428i | \(-0.891457\pi\) |
−0.609284 | − | 0.792952i | \(-0.708543\pi\) | |||||||
\(632\) | 12216.2 | − | 3969.30i | 0.768886 | − | 0.249826i | ||||
\(633\) | 10851.9 | − | 10625.6i | 0.681398 | − | 0.667190i | ||||
\(634\) | −4222.82 | + | 5812.22i | −0.264526 | + | 0.364089i | ||||
\(635\) | 5889.84 | − | 4279.22i | 0.368081 | − | 0.267426i | ||||
\(636\) | 10494.6 | − | 1549.03i | 0.654305 | − | 0.0965768i | ||||
\(637\) | 3632.94i | 0.225969i | ||||||||
\(638\) | 293.881 | − | 271.271i | 0.0182365 | − | 0.0168334i | ||||
\(639\) | −1567.67 | − | 1190.24i | −0.0970517 | − | 0.0736858i | ||||
\(640\) | 19193.4 | + | 6236.33i | 1.18545 | + | 0.385176i | ||||
\(641\) | 17113.1 | + | 23554.2i | 1.05449 | + | 1.45138i | 0.884852 | + | 0.465872i | \(0.154259\pi\) |
0.169636 | + | 0.985507i | \(0.445741\pi\) | |||||||
\(642\) | 3794.11 | + | 641.974i | 0.233242 | + | 0.0394652i | ||||
\(643\) | 4258.42 | + | 13106.1i | 0.261175 | + | 0.803815i | 0.992550 | + | 0.121839i | \(0.0388791\pi\) |
−0.731375 | + | 0.681976i | \(0.761121\pi\) | |||||||
\(644\) | 1051.44 | + | 3235.99i | 0.0643361 | + | 0.198006i | ||||
\(645\) | 33070.2 | + | 5595.57i | 2.01882 | + | 0.341590i | ||||
\(646\) | 7772.12 | + | 10697.4i | 0.473359 | + | 0.651523i | ||||
\(647\) | 12296.9 | + | 3995.51i | 0.747204 | + | 0.242781i | 0.657778 | − | 0.753212i | \(-0.271497\pi\) |
0.0894265 | + | 0.995993i | \(0.471497\pi\) | |||||||
\(648\) | 3948.49 | + | 14155.8i | 0.239370 | + | 0.858170i | ||||
\(649\) | 911.971 | − | 1625.71i | 0.0551587 | − | 0.0983275i | ||||
\(650\) | − | 3666.76i | − | 0.221265i | ||||||
\(651\) | 15175.0 | − | 2239.86i | 0.913603 | − | 0.134850i | ||||
\(652\) | 10139.4 | − | 7366.68i | 0.609031 | − | 0.442487i | ||||
\(653\) | −8745.07 | + | 12036.6i | −0.524075 | + | 0.721327i | −0.986213 | − | 0.165481i | \(-0.947082\pi\) |
0.462138 | + | 0.886808i | \(0.347082\pi\) | |||||||
\(654\) | −2586.59 | + | 2532.66i | −0.154654 | + | 0.151429i | ||||
\(655\) | −27523.2 | + | 8942.82i | −1.64186 | + | 0.533473i | ||||
\(656\) | −4815.99 | − | 3499.02i | −0.286635 | − | 0.208253i | ||||
\(657\) | 7812.59 | + | 164.647i | 0.463924 | + | 0.00977699i | ||||
\(658\) | −1032.20 | + | 3176.80i | −0.0611543 | + | 0.188214i | ||||
\(659\) | 12908.1 | 0.763018 | 0.381509 | − | 0.924365i | \(-0.375405\pi\) | ||||
0.381509 | + | 0.924365i | \(0.375405\pi\) | |||||||
\(660\) | 10794.7 | − | 13380.5i | 0.636640 | − | 0.789145i | ||||
\(661\) | −26821.7 | −1.57828 | −0.789139 | − | 0.614214i | \(-0.789473\pi\) | ||||
−0.789139 | + | 0.614214i | \(0.789473\pi\) | |||||||
\(662\) | −624.622 | + | 1922.39i | −0.0366716 | + | 0.112864i | ||||
\(663\) | 9211.76 | + | 4816.54i | 0.539601 | + | 0.282140i | ||||
\(664\) | 19032.1 | + | 13827.6i | 1.11233 | + | 0.808155i | ||||
\(665\) | 20380.7 | − | 6622.08i | 1.18846 | − | 0.386155i | ||||
\(666\) | −11510.4 | − | 4010.01i | −0.669701 | − | 0.233310i | ||||
\(667\) | −189.757 | + | 261.179i | −0.0110156 | + | 0.0151617i | ||||
\(668\) | 10807.4 | − | 7852.04i | 0.625974 | − | 0.454797i | ||||
\(669\) | 2376.42 | + | 16100.2i | 0.137336 | + | 0.930446i | ||||
\(670\) | 129.138i | 0.00744630i | ||||||||
\(671\) | −1841.53 | + | 847.355i | −0.105948 | + | 0.0487508i | ||||
\(672\) | −5843.95 | − | 11774.4i | −0.335469 | − | 0.675906i | ||||
\(673\) | −508.935 | − | 165.363i | −0.0291501 | − | 0.00947143i | 0.294406 | − | 0.955681i | \(-0.404878\pi\) |
−0.323556 | + | 0.946209i | \(0.604878\pi\) | |||||||
\(674\) | −896.259 | − | 1233.59i | −0.0512205 | − | 0.0704989i | ||||
\(675\) | 11421.8 | − | 10721.7i | 0.651297 | − | 0.611374i | ||||
\(676\) | −3068.99 | − | 9445.37i | −0.174612 | − | 0.537402i | ||||
\(677\) | −2521.66 | − | 7760.86i | −0.143154 | − | 0.440582i | 0.853615 | − | 0.520904i | \(-0.174405\pi\) |
−0.996769 | + | 0.0803221i | \(0.974405\pi\) | |||||||
\(678\) | 534.912 | − | 3161.36i | 0.0302997 | − | 0.179073i | ||||
\(679\) | 4864.35 | + | 6695.21i | 0.274929 | + | 0.378407i | ||||
\(680\) | −26069.1 | − | 8470.37i | −1.47015 | − | 0.477682i | ||||
\(681\) | 7981.26 | − | 3961.30i | 0.449108 | − | 0.222904i | ||||
\(682\) | −10087.9 | − | 5658.98i | −0.566399 | − | 0.317732i | ||||
\(683\) | 12367.2i | 0.692851i | 0.938078 | + | 0.346425i | \(0.112605\pi\) | ||||
−0.938078 | + | 0.346425i | \(0.887395\pi\) | |||||||
\(684\) | −13478.5 | + | 9365.25i | −0.753454 | + | 0.523522i | ||||
\(685\) | 13534.3 | − | 9833.25i | 0.754919 | − | 0.548481i | ||||
\(686\) | −5800.47 | + | 7983.67i | −0.322833 | + | 0.444341i | ||||
\(687\) | 12008.6 | + | 12264.4i | 0.666896 | + | 0.681098i | ||||
\(688\) | 7148.14 | − | 2322.57i | 0.396105 | − | 0.128702i | ||||
\(689\) | −6341.54 | − | 4607.40i | −0.350643 | − | 0.254757i | ||||
\(690\) | 2295.94 | − | 4391.05i | 0.126674 | − | 0.242267i | ||||
\(691\) | 3138.02 | − | 9657.84i | 0.172758 | − | 0.531696i | −0.826766 | − | 0.562546i | \(-0.809822\pi\) |
0.999524 | + | 0.0308510i | \(0.00982173\pi\) | |||||||
\(692\) | −5943.67 | −0.326509 | ||||||||
\(693\) | −13245.6 | + | 1275.78i | −0.726056 | + | 0.0699318i | ||||
\(694\) | 3607.79 | 0.197334 | ||||||||
\(695\) | −12109.0 | + | 37267.7i | −0.660893 | + | 2.03402i | ||||
\(696\) | 366.744 | − | 701.408i | 0.0199733 | − | 0.0381994i | ||||
\(697\) | 23762.8 | + | 17264.7i | 1.29136 | + | 0.938232i | ||||
\(698\) | 1079.41 | − | 350.721i | 0.0585332 | − | 0.0190186i | ||||
\(699\) | −14761.5 | − | 15075.8i | −0.798755 | − | 0.815766i | ||||
\(700\) | −5226.78 | + | 7194.05i | −0.282220 | + | 0.388442i | ||||
\(701\) | −23035.4 | + | 16736.2i | −1.24113 | + | 0.901735i | −0.997673 | − | 0.0681761i | \(-0.978282\pi\) |
−0.243459 | + | 0.969911i | \(0.578282\pi\) | |||||||
\(702\) | 2220.25 | − | 4036.79i | 0.119370 | − | 0.217035i | ||||
\(703\) | − | 32085.8i | − | 1.72139i | ||||||
\(704\) | −917.067 | + | 4593.19i | −0.0490955 | + | 0.245898i | ||||
\(705\) | −12203.1 | + | 6056.72i | −0.651911 | + | 0.323560i | ||||
\(706\) | 5376.88 | + | 1747.05i | 0.286631 | + | 0.0931320i | ||||
\(707\) | −10358.0 | − | 14256.6i | −0.550996 | − | 0.758380i | ||||
\(708\) | 261.105 | − | 1543.15i | 0.0138601 | − | 0.0819138i | ||||
\(709\) | 1091.67 | + | 3359.81i | 0.0578257 | + | 0.177969i | 0.975797 | − | 0.218677i | \(-0.0701740\pi\) |
−0.917972 | + | 0.396646i | \(0.870174\pi\) | |||||||
\(710\) | −502.797 | − | 1547.45i | −0.0265770 | − | 0.0817955i | ||||
\(711\) | −4970.26 | − | 16469.9i | −0.262165 | − | 0.868733i | ||||
\(712\) | −15598.1 | − | 21469.0i | −0.821019 | − | 1.13004i | ||||
\(713\) | 8879.71 | + | 2885.19i | 0.466407 | + | 0.151545i | ||||
\(714\) | 4001.73 | + | 8062.72i | 0.209749 | + | 0.422605i | ||||
\(715\) | −12616.3 | + | 1484.06i | −0.659892 | + | 0.0776235i | ||||
\(716\) | − | 7461.15i | − | 0.389436i | ||||||
\(717\) | 1138.64 | + | 7714.24i | 0.0593071 | + | 0.401804i | ||||
\(718\) | 6071.72 | − | 4411.37i | 0.315592 | − | 0.229291i | ||||
\(719\) | 3259.56 | − | 4486.40i | 0.169070 | − | 0.232705i | −0.716072 | − | 0.698027i | \(-0.754062\pi\) |
0.885141 | + | 0.465322i | \(0.154062\pi\) | |||||||
\(720\) | 2447.78 | − | 7026.17i | 0.126699 | − | 0.363680i | ||||
\(721\) | −7783.03 | + | 2528.86i | −0.402018 | + | 0.130624i | ||||
\(722\) | 4429.61 | + | 3218.30i | 0.228328 | + | 0.165890i | ||||
\(723\) | −1781.18 | − | 931.322i | −0.0916220 | − | 0.0479063i | ||||
\(724\) | −860.184 | + | 2647.37i | −0.0441554 | + | 0.135896i | ||||
\(725\) | −843.712 | −0.0432203 | ||||||||
\(726\) | 8492.07 | + | 5344.81i | 0.434119 | + | 0.273229i | ||||
\(727\) | 13898.0 | 0.709010 | 0.354505 | − | 0.935054i | \(-0.384649\pi\) | ||||
0.354505 | + | 0.935054i | \(0.384649\pi\) | |||||||
\(728\) | −1904.79 | + | 5862.33i | −0.0969726 | + | 0.298451i | ||||
\(729\) | 19066.5 | − | 4887.67i | 0.968678 | − | 0.248319i | ||||
\(730\) | 5225.95 | + | 3796.87i | 0.264960 | + | 0.192505i | ||||
\(731\) | −35270.0 | + | 11459.9i | −1.78455 | + | 0.579837i | ||||
\(732\) | −1216.12 | + | 1190.76i | −0.0614059 | + | 0.0601254i | ||||
\(733\) | −8770.52 | + | 12071.6i | −0.441946 | + | 0.608286i | −0.970643 | − | 0.240524i | \(-0.922681\pi\) |
0.528697 | + | 0.848811i | \(0.322681\pi\) | |||||||
\(734\) | 557.597 | − | 405.118i | 0.0280399 | − | 0.0203722i | ||||
\(735\) | −12692.9 | + | 1873.50i | −0.636985 | + | 0.0940203i | ||||
\(736\) | − | 8000.96i | − | 0.400705i | ||||||
\(737\) | 209.642 | − | 24.6603i | 0.0104780 | − | 0.00123253i | ||||
\(738\) | 7871.95 | − | 10368.2i | 0.392643 | − | 0.517151i | ||||
\(739\) | −4896.28 | − | 1590.90i | −0.243725 | − | 0.0791910i | 0.184607 | − | 0.982812i | \(-0.440899\pi\) |
−0.428332 | + | 0.903621i | \(0.640899\pi\) | |||||||
\(740\) | 16586.7 | + | 22829.6i | 0.823970 | + | 1.13410i | ||||
\(741\) | 11957.5 | + | 2023.25i | 0.592809 | + | 0.100305i | ||||
\(742\) | −2097.47 | − | 6455.34i | −0.103774 | − | 0.319384i | ||||
\(743\) | −8364.07 | − | 25742.0i | −0.412985 | − | 1.27104i | −0.914041 | − | 0.405623i | \(-0.867055\pi\) |
0.501055 | − | 0.865415i | \(-0.332945\pi\) | |||||||
\(744\) | −22570.2 | − | 3818.94i | −1.11218 | − | 0.188184i | ||||
\(745\) | −2251.34 | − | 3098.71i | −0.110715 | − | 0.152386i | ||||
\(746\) | 8397.92 | + | 2728.65i | 0.412158 | + | 0.133918i | ||||
\(747\) | 19052.6 | − | 25094.2i | 0.933197 | − | 1.22912i | ||||
\(748\) | −3721.83 | + | 18641.0i | −0.181930 | + | 0.911209i | ||||
\(749\) | 6895.46i | 0.336388i | ||||||||
\(750\) | −1530.38 | + | 225.887i | −0.0745087 | + | 0.0109976i | ||||
\(751\) | 1855.06 | − | 1347.78i | 0.0901357 | − | 0.0654874i | −0.541805 | − | 0.840504i | \(-0.682259\pi\) |
0.631940 | + | 0.775017i | \(0.282259\pi\) | |||||||
\(752\) | −1794.44 | + | 2469.83i | −0.0870166 | + | 0.119768i | ||||
\(753\) | 13694.5 | − | 13408.9i | 0.662756 | − | 0.648936i | ||||
\(754\) | −235.982 | + | 76.6751i | −0.0113978 | + | 0.00370337i | ||||
\(755\) | −25326.8 | − | 18401.0i | −1.22084 | − | 0.886995i | ||||
\(756\) | −10110.3 | + | 4755.18i | −0.486386 | + | 0.228762i | ||||
\(757\) | 231.753 | − | 713.263i | 0.0111271 | − | 0.0342457i | −0.945339 | − | 0.326090i | \(-0.894269\pi\) |
0.956466 | + | 0.291844i | \(0.0942688\pi\) | |||||||
\(758\) | 10197.5 | 0.488640 | ||||||||
\(759\) | −7566.87 | − | 2888.71i | −0.361871 | − | 0.138147i | ||||
\(760\) | −31979.2 | −1.52633 | ||||||||
\(761\) | −6376.24 | + | 19624.0i | −0.303730 | + | 0.934784i | 0.676418 | + | 0.736518i | \(0.263531\pi\) |
−0.980148 | + | 0.198267i | \(0.936469\pi\) | |||||||
\(762\) | 3161.55 | + | 1653.07i | 0.150303 | + | 0.0785886i | ||||
\(763\) | −5248.05 | − | 3812.93i | −0.249007 | − | 0.180914i | ||||
\(764\) | 14414.1 | − | 4683.41i | 0.682568 | − | 0.221780i | ||||
\(765\) | −12077.7 | + | 34668.2i | −0.570811 | + | 1.63847i | ||||
\(766\) | −994.471 | + | 1368.77i | −0.0469082 | + | 0.0645636i | ||||
\(767\) | −935.589 | + | 679.745i | −0.0440445 | + | 0.0320002i | ||||
\(768\) | 2223.37 | + | 15063.3i | 0.104465 | + | 0.707748i | ||||
\(769\) | − | 3616.44i | − | 0.169587i | −0.996399 | − | 0.0847933i | \(-0.972977\pi\) | ||
0.996399 | − | 0.0847933i | \(-0.0270230\pi\) | |||||||
\(770\) | −9593.57 | − | 5381.70i | −0.448998 | − | 0.251874i | ||||
\(771\) | −10233.0 | − | 20617.6i | −0.477994 | − | 0.963068i | ||||
\(772\) | 14399.9 | + | 4678.82i | 0.671327 | + | 0.218127i | ||||
\(773\) | −24429.3 | − | 33624.0i | −1.13669 | − | 1.56452i | −0.774695 | − | 0.632335i | \(-0.782097\pi\) |
−0.361993 | − | 0.932181i | \(-0.617903\pi\) | |||||||
\(774\) | 4748.57 | + | 15735.3i | 0.220522 | + | 0.730740i | ||||
\(775\) | 7540.31 | + | 23206.7i | 0.349492 | + | 1.07562i | ||||
\(776\) | −3816.31 | − | 11745.4i | −0.176543 | − | 0.543345i | ||||
\(777\) | 3643.92 | − | 21535.8i | 0.168243 | − | 0.994328i | ||||
\(778\) | −8646.47 | − | 11900.9i | −0.398446 | − | 0.548414i | ||||
\(779\) | 32590.8 | + | 10589.4i | 1.49895 | + | 0.487040i | ||||
\(780\) | −9553.92 | + | 4741.85i | −0.438571 | + | 0.217674i | ||||
\(781\) | −2416.11 | + | 1111.74i | −0.110698 | + | 0.0509364i | ||||
\(782\) | 5478.77i | 0.250537i | ||||||||
\(783\) | −928.856 | − | 510.874i | −0.0423941 | − | 0.0233169i | ||||
\(784\) | −2326.05 | + | 1689.97i | −0.105961 | + | 0.0769848i | ||||
\(785\) | −23789.6 | + | 32743.6i | −1.08164 | + | 1.48875i | ||||
\(786\) | −9921.74 | − | 10133.0i | −0.450250 | − | 0.459839i | ||||
\(787\) | 40048.8 | − | 13012.6i | 1.81396 | − | 0.589390i | 0.813994 | − | 0.580874i | \(-0.197289\pi\) |
0.999964 | − | 0.00851680i | \(-0.00271102\pi\) | |||||||
\(788\) | 24705.7 | + | 17949.8i | 1.11689 | + | 0.811465i | ||||
\(789\) | 15125.0 | − | 28926.9i | 0.682464 | − | 1.30523i | ||||
\(790\) | 4394.56 | − | 13525.1i | 0.197913 | − | 0.609115i | ||||
\(791\) | 5745.51 | 0.258264 | ||||||||
\(792\) | 19387.2 | + | 4297.47i | 0.869815 | + | 0.192808i | ||||
\(793\) | 1257.64 | 0.0563177 | ||||||||
\(794\) | −2607.82 | + | 8026.04i | −0.116559 | + | 0.358732i | ||||
\(795\) | 12827.2 | − | 24532.3i | 0.572242 | − | 1.09443i | ||||
\(796\) | 20232.2 | + | 14699.6i | 0.900895 | + | 0.654539i | ||||
\(797\) | −27082.3 | + | 8799.58i | −1.20365 | + | 0.391088i | −0.841101 | − | 0.540878i | \(-0.818092\pi\) |
−0.362545 | + | 0.931966i | \(0.618092\pi\) | |||||||
\(798\) | 7346.96 | + | 7503.43i | 0.325914 | + | 0.332855i | ||||
\(799\) | 8854.04 | − | 12186.5i | 0.392032 | − | 0.539586i | ||||
\(800\) | 16916.6 | − | 12290.6i | 0.747616 | − | 0.543175i | ||||
\(801\) | −29187.8 | + | 20280.5i | −1.28751 | + | 0.894602i | ||||
\(802\) | − | 17028.1i | − | 0.749729i | ||||||
\(803\) | 5165.88 | − | 9208.85i | 0.227024 | − | 0.404699i | ||||
\(804\) | 158.755 | − | 78.7941i | 0.00696376 | − | 0.00345629i | ||||
\(805\) | 8444.63 | + | 2743.83i | 0.369732 | + | 0.120133i | ||||
\(806\) | 4217.97 | + | 5805.53i | 0.184332 | + | 0.253711i | ||||
\(807\) | −357.987 | + | 2115.73i | −0.0156156 | + | 0.0922890i | ||||
\(808\) | 8126.36 | + | 25010.4i | 0.353817 | + | 1.08894i | ||||
\(809\) | 1714.60 | + | 5276.99i | 0.0745143 | + | 0.229331i | 0.981376 | − | 0.192097i | \(-0.0615289\pi\) |
−0.906862 | + | 0.421428i | \(0.861529\pi\) | |||||||
\(810\) | 15248.8 | + | 5675.41i | 0.661468 | + | 0.246190i | ||||
\(811\) | 16923.3 | + | 23292.9i | 0.732747 | + | 1.00854i | 0.999003 | + | 0.0446375i | \(0.0142133\pi\) |
−0.266256 | + | 0.963902i | \(0.585787\pi\) | |||||||
\(812\) | 572.284 | + | 185.946i | 0.0247331 | + | 0.00803626i | ||||
\(813\) | 4979.29 | + | 10032.3i | 0.214799 | + | 0.432778i | ||||
\(814\) | −12102.2 | + | 11171.1i | −0.521110 | + | 0.481017i | ||||
\(815\) | − | 32705.9i | − | 1.40569i | ||||||
\(816\) | 1201.26 | + | 8138.53i | 0.0515351 | + | 0.349149i | ||||
\(817\) | −35003.0 | + | 25431.1i | −1.49890 | + | 1.08901i | ||||
\(818\) | 7969.21 | − | 10968.7i | 0.340632 | − | 0.468839i | ||||
\(819\) | 7796.07 | + | 2715.99i | 0.332621 | + | 0.115878i | ||||
\(820\) | −28663.1 | + | 9313.19i | −1.22068 | + | 0.396623i | ||||
\(821\) | 25740.8 | + | 18701.8i | 1.09422 | + | 0.795001i | 0.980108 | − | 0.198466i | \(-0.0635960\pi\) |
0.114117 | + | 0.993467i | \(0.463596\pi\) | |||||||
\(822\) | 7264.94 | + | 3798.61i | 0.308265 | + | 0.161182i | ||||
\(823\) | 1216.06 | − | 3742.65i | 0.0515058 | − | 0.158518i | −0.921995 | − | 0.387201i | \(-0.873442\pi\) |
0.973501 | + | 0.228683i | \(0.0734419\pi\) | |||||||
\(824\) | 12212.3 | 0.516306 | ||||||||
\(825\) | −5516.15 | − | 20436.3i | −0.232785 | − | 0.862425i | ||||
\(826\) | −1001.39 | −0.0421826 | ||||||||
\(827\) | 11826.7 | − | 36398.7i | 0.497283 | − | 1.53048i | −0.316086 | − | 0.948731i | \(-0.602369\pi\) |
0.813368 | − | 0.581749i | \(-0.197631\pi\) | |||||||
\(828\) | −6799.02 | − | 143.286i | −0.285365 | − | 0.00601394i | ||||
\(829\) | 11491.2 | + | 8348.86i | 0.481431 | + | 0.349780i | 0.801879 | − | 0.597486i | \(-0.203834\pi\) |
−0.320448 | + | 0.947266i | \(0.603834\pi\) | |||||||
\(830\) | 24770.6 | − | 8048.45i | 1.03590 | − | 0.336585i | ||||
\(831\) | −21695.6 | + | 21243.2i | −0.905671 | + | 0.886785i | ||||
\(832\) | 1708.03 | − | 2350.90i | 0.0711722 | − | 0.0979602i | ||||
\(833\) | 11477.1 | − | 8338.58i | 0.477379 | − | 0.346836i | ||||
\(834\) | −18996.8 | + | 2803.97i | −0.788736 | + | 0.116419i | ||||
\(835\) | − | 34860.7i | − | 1.44480i | ||||||
\(836\) | 2590.85 | + | 22025.3i | 0.107185 | + | 0.911197i | ||||
\(837\) | −5750.58 | + | 30114.3i | −0.237478 | + | 1.24361i | ||||
\(838\) | 19514.5 | + | 6340.66i | 0.804437 | + | 0.261378i | ||||
\(839\) | 13827.2 | + | 19031.5i | 0.568971 | + | 0.783121i | 0.992432 | − | 0.122793i | \(-0.0391851\pi\) |
−0.423461 | + | 0.905914i | \(0.639185\pi\) | |||||||
\(840\) | −21464.3 | − | 3631.82i | −0.881653 | − | 0.149178i | ||||
\(841\) | −7518.97 | − | 23141.0i | −0.308294 | − | 0.948830i | ||||
\(842\) | −2529.01 | − | 7783.48i | −0.103510 | − | 0.318571i | ||||
\(843\) | 1004.95 | + | 170.040i | 0.0410583 | + | 0.00694719i | ||||
\(844\) | −10127.9 | − | 13939.9i | −0.413055 | − | 0.568521i | ||||
\(845\) | −24648.6 | − | 8008.81i | −1.00348 | − | 0.326049i | ||||
\(846\) | −5317.22 | − | 4037.06i | −0.216087 | − | 0.164063i | ||||
\(847\) | −6904.64 | + | 16601.9i | −0.280102 | + | 0.673492i | ||||
\(848\) | − | 6203.53i | − | 0.251215i | ||||||
\(849\) | 7551.75 | − | 1114.65i | 0.305271 | − | 0.0450587i | ||||
\(850\) | −11583.9 | + | 8416.20i | −0.467441 | + | 0.339615i | ||||
\(851\) | 7814.35 | − | 10755.5i | 0.314774 | − | 0.433249i | ||||
\(852\) | −1595.57 | + | 1562.30i | −0.0641589 | + | 0.0628210i | ||||
\(853\) | 15023.8 | − | 4881.52i | 0.603052 | − | 0.195944i | 0.00845111 | − | 0.999964i | \(-0.497310\pi\) |
0.594601 | + | 0.804021i | \(0.297310\pi\) | |||||||
\(854\) | 881.025 | + | 640.102i | 0.0353022 | + | 0.0256485i | ||||
\(855\) | −902.434 | + | 42821.0i | −0.0360966 | + | 1.71280i | ||||
\(856\) | 3179.81 | − | 9786.45i | 0.126967 | − | 0.390764i | ||||
\(857\) | 25125.8 | 1.00149 | 0.500747 | − | 0.865594i | \(-0.333059\pi\) | ||||
0.500747 | + | 0.865594i | \(0.333059\pi\) | |||||||
\(858\) | −3400.05 | − | 5214.62i | −0.135287 | − | 0.207487i | ||||
\(859\) | 21073.5 | 0.837042 | 0.418521 | − | 0.908207i | \(-0.362549\pi\) | ||||
0.418521 | + | 0.908207i | \(0.362549\pi\) | |||||||
\(860\) | 11758.7 | − | 36189.4i | 0.466240 | − | 1.43494i | ||||
\(861\) | 20672.1 | + | 10808.8i | 0.818240 | + | 0.427832i | ||||
\(862\) | −7407.33 | − | 5381.74i | −0.292685 | − | 0.212648i | ||||
\(863\) | −35289.1 | + | 11466.1i | −1.39195 | + | 0.452272i | −0.906579 | − | 0.422035i | \(-0.861316\pi\) |
−0.485372 | + | 0.874308i | \(0.661316\pi\) | |||||||
\(864\) | 26065.9 | − | 3287.82i | 1.02636 | − | 0.129460i | ||||
\(865\) | −9116.88 | + | 12548.3i | −0.358362 | + | 0.493243i | ||||
\(866\) | −14654.1 | + | 10646.8i | −0.575017 | + | 0.417775i | ||||
\(867\) | −2199.52 | − | 14901.7i | −0.0861588 | − | 0.583724i | ||||
\(868\) | − | 17402.8i | − | 0.680516i | ||||||
\(869\) | −22795.8 | − | 4551.36i | −0.889866 | − | 0.177669i | ||||
\(870\) | −389.585 | − | 784.939i | −0.0151818 | − | 0.0305884i | ||||
\(871\) | −124.550 | − | 40.4686i | −0.00484524 | − | 0.00157431i | ||||
\(872\) | 5690.02 | + | 7831.64i | 0.220973 | + | 0.304143i | ||||
\(873\) | −15835.1 | + | 4778.70i | −0.613903 | + | 0.185263i | ||||
\(874\) | 1975.21 | + | 6079.06i | 0.0764444 | + | 0.235272i | ||||
\(875\) | −856.615 | − | 2636.39i | −0.0330959 | − | 0.101859i | ||||
\(876\) | 1479.03 | − | 8741.19i | 0.0570456 | − | 0.337143i | ||||
\(877\) | −28631.0 | − | 39407.3i | −1.10240 | − | 1.51732i | −0.832169 | − | 0.554522i | \(-0.812901\pi\) |
−0.270228 | − | 0.962796i | \(-0.587099\pi\) | |||||||
\(878\) | 17184.4 | + | 5583.55i | 0.660530 | + | 0.214619i | ||||
\(879\) | −18187.6 | + | 9026.93i | −0.697896 | + | 0.346383i | ||||
\(880\) | −6819.04 | − | 7387.42i | −0.261216 | − | 0.282988i | ||||
\(881\) | 9114.38i | 0.348549i | 0.984697 | + | 0.174274i | \(0.0557579\pi\) | ||||
−0.984697 | + | 0.174274i | \(0.944242\pi\) | |||||||
\(882\) | −3587.68 | − | 5163.40i | −0.136965 | − | 0.197121i | ||||
\(883\) | −10282.3 | + | 7470.51i | −0.391875 | + | 0.284714i | −0.766224 | − | 0.642574i | \(-0.777867\pi\) |
0.374348 | + | 0.927288i | \(0.377867\pi\) | |||||||
\(884\) | 6931.88 | − | 9540.92i | 0.263738 | − | 0.363004i | ||||
\(885\) | −2857.40 | − | 2918.25i | −0.108531 | − | 0.110843i | ||||
\(886\) | 6707.32 | − | 2179.34i | 0.254331 | − | 0.0826370i | ||||
\(887\) | −5155.82 | − | 3745.92i | −0.195170 | − | 0.141799i | 0.485909 | − | 0.874010i | \(-0.338489\pi\) |
−0.681078 | + | 0.732211i | \(0.738489\pi\) | |||||||
\(888\) | −15102.8 | + | 28884.5i | −0.570739 | + | 1.09155i | ||||
\(889\) | −1975.55 | + | 6080.11i | −0.0745306 | + | 0.229382i | ||||
\(890\) | −29380.3 | −1.10655 | ||||||||
\(891\) | 6301.52 | − | 25838.7i | 0.236935 | − | 0.971526i | ||||
\(892\) | 18463.7 | 0.693062 | ||||||||
\(893\) | 5430.66 | − | 16713.9i | 0.203505 | − | 0.626325i | ||||
\(894\) | 869.699 | − | 1663.32i | 0.0325359 | − | 0.0622257i | ||||
\(895\) | −15752.0 | − | 11444.5i | −0.588304 | − | 0.427428i | ||||
\(896\) | −16854.3 | + | 5476.31i | −0.628420 | + | 0.204186i | ||||
\(897\) | 3515.56 | + | 3590.43i | 0.130860 | + | 0.133646i | ||||
\(898\) | −1554.02 | + | 2138.92i | −0.0577486 | + | 0.0794841i | ||||
\(899\) | 1335.84 | − | 970.545i | 0.0495581 | − | 0.0360061i | ||||
\(900\) | −10141.3 | − | 14595.4i | −0.375605 | − | 0.540572i | ||||
\(901\) | 30609.2i | 1.13179i | ||||||||
\(902\) | −7352.79 | − | 15979.6i | −0.271420 | − | 0.589869i | ||||
\(903\) | −26382.0 | + | 13094.0i | −0.972245 | + | 0.482549i | ||||
\(904\) | −8154.36 | − | 2649.51i | −0.300011 | − | 0.0974795i | ||||
\(905\) | 4269.73 | + | 5876.78i | 0.156829 | + | 0.215857i | ||||
\(906\) | 2559.39 | − | 15126.1i | 0.0938520 | − | 0.554671i | ||||
\(907\) | 6037.04 | + | 18580.1i | 0.221010 | + | 0.680200i | 0.998672 | + | 0.0515172i | \(0.0164057\pi\) |
−0.777662 | + | 0.628683i | \(0.783594\pi\) | |||||||
\(908\) | −3123.78 | − | 9614.01i | −0.114170 | − | 0.351379i | ||||
\(909\) | 33718.9 | − | 10175.6i | 1.23035 | − | 0.371292i | ||||
\(910\) | 4011.29 | + | 5521.07i | 0.146124 | + | 0.201123i | ||||
\(911\) | −12284.5 | − | 3991.49i | −0.446767 | − | 0.145163i | 0.0769884 | − | 0.997032i | \(-0.475470\pi\) |
−0.523756 | + | 0.851868i | \(0.675470\pi\) | |||||||
\(912\) | 4266.99 | + | 8597.17i | 0.154928 | + | 0.312150i | ||||
\(913\) | −17796.1 | − | 38675.6i | −0.645087 | − | 1.40194i | ||||
\(914\) | − | 5286.61i | − | 0.191319i | ||||||
\(915\) | 648.558 | + | 4393.97i | 0.0234324 | + | 0.158754i | ||||
\(916\) | 15754.3 | − | 11446.2i | 0.568271 | − | 0.412873i | ||||
\(917\) | 14937.2 | − | 20559.3i | 0.537918 | − | 0.740380i | ||||
\(918\) | −17849.0 | + | 2251.38i | −0.641725 | + | 0.0809440i | ||||
\(919\) | −42147.2 | + | 13694.4i | −1.51285 | + | 0.491554i | −0.943734 | − | 0.330705i | \(-0.892713\pi\) |
−0.569113 | + | 0.822259i | \(0.692713\pi\) | |||||||
\(920\) | −10719.8 | − | 7788.40i | −0.384154 | − | 0.279104i | ||||
\(921\) | 37571.0 | + | 19644.7i | 1.34420 | + | 0.702840i | ||||
\(922\) | −8408.23 | + | 25877.9i | −0.300336 | + | 0.924341i | ||||
\(923\) | 1650.04 | 0.0588426 | ||||||||
\(924\) | −762.406 | + | 15077.5i | −0.0271443 | + | 0.536812i | ||||
\(925\) | 34744.7 | 1.23502 | ||||||||
\(926\) | 2538.28 | − | 7812.02i | 0.0900788 | − | 0.277234i | ||||
\(927\) | 344.624 | − | 16352.6i | 0.0122103 | − | 0.579385i | ||||
\(928\) | −1144.73 | − | 831.696i | −0.0404932 | − | 0.0294200i | ||||
\(929\) | −13934.5 | + | 4527.60i | −0.492118 | + | 0.159899i | −0.544554 | − | 0.838726i | \(-0.683301\pi\) |
0.0524368 | + | 0.998624i | \(0.483301\pi\) | |||||||
\(930\) | −18108.4 | + | 17730.8i | −0.638491 | + | 0.625177i | ||||
\(931\) | 9728.36 | − | 13389.9i | 0.342464 | − | 0.471362i | ||||
\(932\) | −19365.8 | + | 14070.1i | −0.680630 | + | 0.494507i | ||||
\(933\) | 6829.65 | − | 1008.07i | 0.239649 | − | 0.0353727i | ||||
\(934\) | 6418.53i | 0.224861i | ||||||||
\(935\) | 33646.2 | + | 36450.7i | 1.17684 | + | 1.27494i | ||||
\(936\) | −9812.17 | − | 7449.81i | −0.342650 | − | 0.260155i | ||||
\(937\) | −16510.0 | − | 5364.42i | −0.575621 | − | 0.187031i | 0.00671665 | − | 0.999977i | \(-0.497862\pi\) |
−0.582338 | + | 0.812947i | \(0.697862\pi\) | |||||||
\(938\) | −66.6547 | − | 91.7423i | −0.00232021 | − | 0.00319349i | ||||
\(939\) | 12794.3 | + | 2164.83i | 0.444650 | + | 0.0752361i | ||||
\(940\) | 4776.18 | + | 14699.6i | 0.165725 | + | 0.510051i | ||||
\(941\) | 8359.43 | + | 25727.7i | 0.289596 | + | 0.891284i | 0.984983 | + | 0.172649i | \(0.0552327\pi\) |
−0.695388 | + | 0.718635i | \(0.744767\pi\) | |||||||
\(942\) | −19555.7 | − | 3308.89i | −0.676391 | − | 0.114447i | ||||
\(943\) | 8345.81 | + | 11487.0i | 0.288205 | + | 0.396680i | ||||
\(944\) | −870.434 | − | 282.821i | −0.0300108 | − | 0.00975111i | ||||
\(945\) | −5468.81 | + | 28638.8i | −0.188255 | + | 0.985841i | ||||
\(946\) | 21779.0 | + | 4348.35i | 0.748517 | + | 0.149447i | ||||
\(947\) | 38557.0i | 1.32306i | 0.749920 | + | 0.661529i | \(0.230092\pi\) | ||||
−0.749920 | + | 0.661529i | \(0.769908\pi\) | |||||||
\(948\) | −19308.4 | + | 2849.96i | −0.661506 | + | 0.0976396i | ||||
\(949\) | −5299.67 | + | 3850.43i | −0.181280 | + | 0.131707i | ||||
\(950\) | −9818.91 | + | 13514.6i | −0.335334 | + | 0.461548i | ||||
\(951\) | 18385.0 | − | 18001.6i | 0.626891 | − | 0.613818i | ||||
\(952\) | 22892.1 | − | 7438.09i | 0.779345 | − | 0.253225i | ||||
\(953\) | 6467.09 | + | 4698.62i | 0.219821 | + | 0.159710i | 0.692246 | − | 0.721661i | \(-0.256621\pi\) |
−0.472425 | + | 0.881371i | \(0.656621\pi\) | |||||||
\(954\) | 13563.0 | + | 285.835i | 0.460293 | + | 0.00970048i | ||||
\(955\) | 12221.8 | − | 37614.8i | 0.414124 | − | 1.27454i | ||||
\(956\) | 8846.71 | 0.299292 | ||||||||
\(957\) | −1199.87 | + | 782.344i | −0.0405291 | + | 0.0264259i | ||||
\(958\) | 8458.77 | 0.285272 | ||||||||
\(959\) | −4539.63 | + | 13971.5i | −0.152859 | + | 0.470453i | ||||
\(960\) | 9094.48 | + | 4755.22i | 0.305753 | + | 0.159869i | ||||
\(961\) | −14532.3 | − | 10558.4i | −0.487810 | − | 0.354414i | ||||
\(962\) | 9717.89 | − | 3157.54i | 0.325694 | − | 0.105824i | ||||
\(963\) | −13014.6 | − | 4534.02i | −0.435503 | − | 0.151720i | ||||
\(964\) | −1340.34 | + | 1844.82i | −0.0447817 | + | 0.0616367i | ||||
\(965\) | 31965.7 | − | 23224.4i | 1.06633 | − | 0.774737i | ||||
\(966\) | 635.362 | + | 4304.56i | 0.0211619 | + | 0.143372i | ||||
\(967\) | 40870.3i | 1.35915i | 0.733605 | + | 0.679576i | \(0.237836\pi\) | ||||
−0.733605 | + | 0.679576i | \(0.762164\pi\) | |||||||
\(968\) | 17455.4 | − | 20378.3i | 0.579583 | − | 0.676637i | ||||
\(969\) | −21054.0 | − | 42419.8i | −0.697990 | − | 1.40632i | ||||
\(970\) | −13003.8 | − | 4225.19i | −0.430440 | − | 0.139858i | ||||
\(971\) | −16820.1 | − | 23150.9i | −0.555904 | − | 0.765136i | 0.434895 | − | 0.900481i | \(-0.356786\pi\) |
−0.990798 | + | 0.135346i | \(0.956786\pi\) | |||||||
\(972\) | −2327.10 | − | 22209.0i | −0.0767921 | − | 0.732875i | ||||
\(973\) | −10633.3 | − | 32725.9i | −0.350347 | − | 1.07826i | ||||
\(974\) | −997.207 | − | 3069.09i | −0.0328055 | − | 0.100965i | ||||
\(975\) | −2190.92 | + | 12948.5i | −0.0719646 | + | 0.425315i | ||||
\(976\) | 585.027 | + | 805.220i | 0.0191867 | + | 0.0264083i | ||||
\(977\) | −23686.2 | − | 7696.11i | −0.775628 | − | 0.252017i | −0.105656 | − | 0.994403i | \(-0.533694\pi\) |
−0.669972 | + | 0.742386i | \(0.733694\pi\) | |||||||
\(978\) | 14356.3 | − | 7125.39i | 0.469390 | − | 0.232970i | ||||
\(979\) | 5610.51 | + | 47696.0i | 0.183159 | + | 1.55707i | ||||
\(980\) | 14556.2i | 0.474472i | ||||||||
\(981\) | 10647.4 | − | 7398.09i | 0.346528 | − | 0.240778i | ||||
\(982\) | −3397.62 | + | 2468.52i | −0.110410 | + | 0.0802174i | ||||
\(983\) | 8089.74 | − | 11134.6i | 0.262485 | − | 0.361280i | −0.657350 | − | 0.753586i | \(-0.728323\pi\) |
0.919835 | + | 0.392306i | \(0.128323\pi\) | |||||||
\(984\) | −24354.7 | − | 24873.4i | −0.789023 | − | 0.805827i | ||||
\(985\) | 75791.3 | − | 24626.1i | 2.45169 | − | 0.796601i | ||||
\(986\) | 783.871 | + | 569.516i | 0.0253180 | + | 0.0183946i | ||||
\(987\) | 5543.20 | − | 10601.5i | 0.178766 | − | 0.341895i | ||||
\(988\) | 4251.70 | − | 13085.4i | 0.136907 | − | 0.421358i | ||||
\(989\) | −17927.1 | −0.576387 | ||||||||
\(990\) | 16465.6 | − | 14568.4i | 0.528598 | − | 0.467690i | ||||
\(991\) | −8059.62 | −0.258347 | −0.129174 | − | 0.991622i | \(-0.541232\pi\) | ||||
−0.129174 | + | 0.991622i | \(0.541232\pi\) | |||||||
\(992\) | −12645.6 | + | 38919.3i | −0.404737 | + | 1.24565i | ||||
\(993\) | 3354.38 | − | 6415.34i | 0.107198 | − | 0.205020i | ||||
\(994\) | 1155.92 | + | 839.824i | 0.0368848 | + | 0.0267984i | ||||
\(995\) | 62067.7 | − | 20167.0i | 1.97757 | − | 0.642550i | ||||
\(996\) | −25008.3 | − | 25540.9i | −0.795600 | − | 0.812543i | ||||
\(997\) | −20503.3 | + | 28220.4i | −0.651300 | + | 0.896437i | −0.999155 | − | 0.0411112i | \(-0.986910\pi\) |
0.347855 | + | 0.937548i | \(0.386910\pi\) | |||||||
\(998\) | −21649.6 | + | 15729.4i | −0.686681 | + | 0.498903i | ||||
\(999\) | 38250.9 | + | 21038.2i | 1.21142 | + | 0.666284i |
(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 | 33.4.f.a.2.7 | yes | 40 | |
3.2 | odd | 2 | inner | 33.4.f.a.2.4 | ✓ | 40 | |
11.4 | even | 5 | 363.4.d.d.362.25 | 40 | |||
11.6 | odd | 10 | inner | 33.4.f.a.17.4 | yes | 40 | |
11.7 | odd | 10 | 363.4.d.d.362.15 | 40 | |||
33.17 | even | 10 | inner | 33.4.f.a.17.7 | yes | 40 | |
33.26 | odd | 10 | 363.4.d.d.362.16 | 40 | |||
33.29 | even | 10 | 363.4.d.d.362.26 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.4.f.a.2.4 | ✓ | 40 | 3.2 | odd | 2 | inner | |
33.4.f.a.2.7 | yes | 40 | 1.1 | even | 1 | trivial | |
33.4.f.a.17.4 | yes | 40 | 11.6 | odd | 10 | inner | |
33.4.f.a.17.7 | yes | 40 | 33.17 | even | 10 | inner | |
363.4.d.d.362.15 | 40 | 11.7 | odd | 10 | |||
363.4.d.d.362.16 | 40 | 33.26 | odd | 10 | |||
363.4.d.d.362.25 | 40 | 11.4 | even | 5 | |||
363.4.d.d.362.26 | 40 | 33.29 | even | 10 |