Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,4,Mod(7,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.7");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.f (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.36614134042\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 53.5 | ||
Character | \(\chi\) | \(=\) | 74.53 |
Dual form | 74.4.f.b.7.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.87939 | − | 0.684040i | −0.664463 | − | 0.241845i | ||||
\(3\) | 6.95420 | − | 2.53112i | 1.33834 | − | 0.487115i | 0.429048 | − | 0.903282i | \(-0.358849\pi\) |
0.909288 | + | 0.416167i | \(0.136627\pi\) | |||||||
\(4\) | 3.06418 | + | 2.57115i | 0.383022 | + | 0.321394i | ||||
\(5\) | 2.65487 | − | 15.0565i | 0.237459 | − | 1.34669i | −0.599915 | − | 0.800064i | \(-0.704799\pi\) |
0.837374 | − | 0.546631i | \(-0.184090\pi\) | |||||||
\(6\) | −14.8010 | −1.00708 | ||||||||
\(7\) | −1.00418 | + | 5.69497i | −0.0542205 | + | 0.307500i | −0.999842 | − | 0.0177690i | \(-0.994344\pi\) |
0.945622 | + | 0.325269i | \(0.105455\pi\) | |||||||
\(8\) | −4.00000 | − | 6.92820i | −0.176777 | − | 0.306186i | ||||
\(9\) | 21.2711 | − | 17.8486i | 0.787819 | − | 0.661059i | ||||
\(10\) | −15.2888 | + | 26.4809i | −0.483473 | + | 0.837401i | ||||
\(11\) | 19.0761 | + | 33.0407i | 0.522878 | + | 0.905651i | 0.999646 | + | 0.0266214i | \(0.00847486\pi\) |
−0.476768 | + | 0.879029i | \(0.658192\pi\) | |||||||
\(12\) | 27.8168 | + | 10.1245i | 0.669168 | + | 0.243557i | ||||
\(13\) | −55.8829 | − | 46.8913i | −1.19224 | − | 1.00041i | −0.999818 | − | 0.0190968i | \(-0.993921\pi\) |
−0.192423 | − | 0.981312i | \(-0.561635\pi\) | |||||||
\(14\) | 5.78283 | − | 10.0162i | 0.110395 | − | 0.191209i | ||||
\(15\) | −19.6474 | − | 111.426i | −0.338195 | − | 1.91800i | ||||
\(16\) | 2.77837 | + | 15.7569i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 91.0273 | − | 76.3810i | 1.29867 | − | 1.08971i | 0.308295 | − | 0.951291i | \(-0.400241\pi\) |
0.990373 | − | 0.138422i | \(-0.0442030\pi\) | |||||||
\(18\) | −52.1858 | + | 18.9941i | −0.683350 | + | 0.248719i | ||||
\(19\) | 24.7038 | − | 8.99144i | 0.298286 | − | 0.108567i | −0.188542 | − | 0.982065i | \(-0.560376\pi\) |
0.486828 | + | 0.873498i | \(0.338154\pi\) | |||||||
\(20\) | 46.8475 | − | 39.3097i | 0.523771 | − | 0.439496i | ||||
\(21\) | 7.43142 | + | 42.1457i | 0.0772223 | + | 0.437950i | ||||
\(22\) | −13.2501 | − | 75.1451i | −0.128406 | − | 0.728227i | ||||
\(23\) | −62.8740 | + | 108.901i | −0.570006 | + | 0.987280i | 0.426558 | + | 0.904460i | \(0.359726\pi\) |
−0.996565 | + | 0.0828196i | \(0.973607\pi\) | |||||||
\(24\) | −45.3529 | − | 38.0556i | −0.385734 | − | 0.323670i | ||||
\(25\) | −102.188 | − | 37.1935i | −0.817507 | − | 0.297548i | ||||
\(26\) | 72.9500 | + | 126.353i | 0.550256 | + | 0.953072i | ||||
\(27\) | 2.83987 | − | 4.91879i | 0.0202419 | − | 0.0350601i | ||||
\(28\) | −17.7196 | + | 14.8685i | −0.119596 | + | 0.100353i | ||||
\(29\) | 93.1453 | + | 161.332i | 0.596436 | + | 1.03306i | 0.993342 | + | 0.115199i | \(0.0367505\pi\) |
−0.396906 | + | 0.917859i | \(0.629916\pi\) | |||||||
\(30\) | −39.2947 | + | 222.851i | −0.239140 | + | 1.35623i | ||||
\(31\) | 76.2804 | 0.441947 | 0.220974 | − | 0.975280i | \(-0.429076\pi\) | ||||
0.220974 | + | 0.975280i | \(0.429076\pi\) | |||||||
\(32\) | 5.55674 | − | 31.5138i | 0.0306970 | − | 0.174091i | ||||
\(33\) | 216.289 | + | 181.488i | 1.14094 | + | 0.957364i | ||||
\(34\) | −223.323 | + | 81.2830i | −1.12646 | + | 0.409997i | ||||
\(35\) | 83.0804 | + | 30.2388i | 0.401233 | + | 0.146037i | ||||
\(36\) | 111.070 | 0.514213 | ||||||||
\(37\) | −108.141 | + | 197.379i | −0.480492 | + | 0.876999i | ||||
\(38\) | −52.5784 | −0.224457 | ||||||||
\(39\) | −507.309 | − | 184.645i | −2.08293 | − | 0.758126i | ||||
\(40\) | −114.934 | + | 41.8325i | −0.454316 | + | 0.165358i | ||||
\(41\) | 32.1784 | + | 27.0009i | 0.122571 | + | 0.102850i | 0.702013 | − | 0.712164i | \(-0.252285\pi\) |
−0.579442 | + | 0.815014i | \(0.696729\pi\) | |||||||
\(42\) | 14.8628 | − | 84.2914i | 0.0546044 | − | 0.309677i | ||||
\(43\) | 83.1778 | 0.294988 | 0.147494 | − | 0.989063i | \(-0.452879\pi\) | ||||
0.147494 | + | 0.989063i | \(0.452879\pi\) | |||||||
\(44\) | −26.5002 | + | 150.290i | −0.0907967 | + | 0.514934i | ||||
\(45\) | −212.265 | − | 367.654i | −0.703170 | − | 1.21793i | ||||
\(46\) | 192.657 | − | 161.659i | 0.617516 | − | 0.518158i | ||||
\(47\) | −286.373 | + | 496.013i | −0.888762 | + | 1.53938i | −0.0474213 | + | 0.998875i | \(0.515100\pi\) |
−0.841340 | + | 0.540506i | \(0.818233\pi\) | |||||||
\(48\) | 59.2040 | + | 102.544i | 0.178028 | + | 0.308354i | ||||
\(49\) | 290.890 | + | 105.875i | 0.848076 | + | 0.308675i | ||||
\(50\) | 166.609 | + | 139.802i | 0.471243 | + | 0.395419i | ||||
\(51\) | 439.693 | − | 761.570i | 1.20724 | − | 2.09100i | ||||
\(52\) | −50.6705 | − | 287.367i | −0.135130 | − | 0.766358i | ||||
\(53\) | −50.3034 | − | 285.285i | −0.130372 | − | 0.739375i | −0.977971 | − | 0.208739i | \(-0.933064\pi\) |
0.847600 | − | 0.530636i | \(-0.178047\pi\) | |||||||
\(54\) | −8.70186 | + | 7.30172i | −0.0219291 | + | 0.0184007i | ||||
\(55\) | 548.122 | − | 199.500i | 1.34380 | − | 0.489102i | ||||
\(56\) | 43.4727 | − | 15.8228i | 0.103737 | − | 0.0377572i | ||||
\(57\) | 149.037 | − | 125.057i | 0.346323 | − | 0.290599i | ||||
\(58\) | −64.6981 | − | 366.921i | −0.146470 | − | 0.830674i | ||||
\(59\) | 49.2888 | + | 279.530i | 0.108760 | + | 0.616810i | 0.989652 | + | 0.143491i | \(0.0458329\pi\) |
−0.880891 | + | 0.473318i | \(0.843056\pi\) | |||||||
\(60\) | 226.289 | − | 391.945i | 0.486897 | − | 0.843330i | ||||
\(61\) | −312.454 | − | 262.180i | −0.655829 | − | 0.550306i | 0.253004 | − | 0.967465i | \(-0.418581\pi\) |
−0.908834 | + | 0.417159i | \(0.863026\pi\) | |||||||
\(62\) | −143.360 | − | 52.1789i | −0.293658 | − | 0.106883i | ||||
\(63\) | 80.2873 | + | 139.062i | 0.160559 | + | 0.278097i | ||||
\(64\) | −32.0000 | + | 55.4256i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −854.381 | + | 716.911i | −1.63035 | + | 1.36803i | ||||
\(66\) | −282.345 | − | 489.036i | −0.526580 | − | 0.912064i | ||||
\(67\) | 48.3369 | − | 274.132i | 0.0881387 | − | 0.499859i | −0.908496 | − | 0.417893i | \(-0.862769\pi\) |
0.996635 | − | 0.0819667i | \(-0.0261201\pi\) | |||||||
\(68\) | 475.311 | 0.847646 | ||||||||
\(69\) | −161.597 | + | 916.461i | −0.281942 | + | 1.59897i | ||||
\(70\) | −135.456 | − | 113.661i | −0.231286 | − | 0.194072i | ||||
\(71\) | 934.672 | − | 340.193i | 1.56233 | − | 0.568640i | 0.591058 | − | 0.806629i | \(-0.298710\pi\) |
0.971268 | + | 0.237989i | \(0.0764882\pi\) | |||||||
\(72\) | −208.743 | − | 75.9763i | −0.341675 | − | 0.124360i | ||||
\(73\) | −970.763 | −1.55643 | −0.778214 | − | 0.628000i | \(-0.783874\pi\) | ||||
−0.778214 | + | 0.628000i | \(0.783874\pi\) | |||||||
\(74\) | 338.253 | − | 296.979i | 0.531367 | − | 0.466529i | ||||
\(75\) | −804.780 | −1.23904 | ||||||||
\(76\) | 98.8152 | + | 35.9658i | 0.149143 | + | 0.0542836i | ||||
\(77\) | −207.322 | + | 75.4590i | −0.306838 | + | 0.111680i | ||||
\(78\) | 827.124 | + | 694.039i | 1.20068 | + | 1.00749i | ||||
\(79\) | −80.9291 | + | 458.972i | −0.115256 | + | 0.653650i | 0.871367 | + | 0.490632i | \(0.163234\pi\) |
−0.986623 | + | 0.163018i | \(0.947877\pi\) | |||||||
\(80\) | 244.620 | 0.341867 | ||||||||
\(81\) | −122.889 | + | 696.938i | −0.168572 | + | 0.956019i | ||||
\(82\) | −42.0060 | − | 72.7565i | −0.0565705 | − | 0.0979830i | ||||
\(83\) | 402.112 | − | 337.412i | 0.531777 | − | 0.446214i | −0.336937 | − | 0.941527i | \(-0.609391\pi\) |
0.868715 | + | 0.495313i | \(0.164947\pi\) | |||||||
\(84\) | −85.5917 | + | 148.249i | −0.111176 | + | 0.192563i | ||||
\(85\) | −908.365 | − | 1573.33i | −1.15913 | − | 2.00767i | ||||
\(86\) | −156.323 | − | 56.8970i | −0.196009 | − | 0.0713414i | ||||
\(87\) | 1056.10 | + | 886.176i | 1.30145 | + | 1.09205i | ||||
\(88\) | 152.609 | − | 264.326i | 0.184865 | − | 0.320196i | ||||
\(89\) | 118.588 | + | 672.548i | 0.141240 | + | 0.801011i | 0.970310 | + | 0.241866i | \(0.0777594\pi\) |
−0.829070 | + | 0.559145i | \(0.811129\pi\) | |||||||
\(90\) | 147.438 | + | 836.162i | 0.172681 | + | 0.979325i | ||||
\(91\) | 323.161 | − | 271.165i | 0.372269 | − | 0.312371i | ||||
\(92\) | −472.658 | + | 172.033i | −0.535631 | + | 0.194954i | ||||
\(93\) | 530.469 | − | 193.075i | 0.591474 | − | 0.215279i | ||||
\(94\) | 877.498 | − | 736.308i | 0.962840 | − | 0.807919i | ||||
\(95\) | −69.7944 | − | 395.824i | −0.0753764 | − | 0.427481i | ||||
\(96\) | −41.1227 | − | 233.218i | −0.0437195 | − | 0.247945i | ||||
\(97\) | −259.897 | + | 450.155i | −0.272047 | + | 0.471199i | −0.969386 | − | 0.245542i | \(-0.921034\pi\) |
0.697339 | + | 0.716742i | \(0.254367\pi\) | |||||||
\(98\) | −474.272 | − | 397.961i | −0.488864 | − | 0.410206i | ||||
\(99\) | 995.500 | + | 362.332i | 1.01062 | + | 0.367836i | ||||
\(100\) | −217.493 | − | 376.709i | −0.217493 | − | 0.376709i | ||||
\(101\) | 668.906 | − | 1158.58i | 0.658997 | − | 1.14142i | −0.321879 | − | 0.946781i | \(-0.604314\pi\) |
0.980876 | − | 0.194635i | \(-0.0623523\pi\) | |||||||
\(102\) | −1347.30 | + | 1130.52i | −1.30786 | + | 1.09743i | ||||
\(103\) | −208.341 | − | 360.856i | −0.199305 | − | 0.345206i | 0.748998 | − | 0.662572i | \(-0.230535\pi\) |
−0.948303 | + | 0.317366i | \(0.897202\pi\) | |||||||
\(104\) | −101.341 | + | 574.733i | −0.0955510 | + | 0.541897i | ||||
\(105\) | 654.296 | 0.608122 | ||||||||
\(106\) | −100.607 | + | 570.569i | −0.0921868 | + | 0.522817i | ||||
\(107\) | −337.650 | − | 283.322i | −0.305064 | − | 0.255979i | 0.477384 | − | 0.878695i | \(-0.341585\pi\) |
−0.782448 | + | 0.622715i | \(0.786029\pi\) | |||||||
\(108\) | 21.3488 | − | 7.77033i | 0.0190212 | − | 0.00692315i | ||||
\(109\) | −1626.54 | − | 592.012i | −1.42931 | − | 0.520225i | −0.492573 | − | 0.870271i | \(-0.663944\pi\) |
−0.936732 | + | 0.350047i | \(0.886166\pi\) | |||||||
\(110\) | −1166.60 | −1.01119 | ||||||||
\(111\) | −252.441 | + | 1646.33i | −0.215861 | + | 1.40777i | ||||
\(112\) | −92.5253 | −0.0780609 | ||||||||
\(113\) | 93.4451 | + | 34.0112i | 0.0777927 | + | 0.0283142i | 0.380623 | − | 0.924730i | \(-0.375709\pi\) |
−0.302831 | + | 0.953044i | \(0.597932\pi\) | |||||||
\(114\) | −365.641 | + | 133.082i | −0.300398 | + | 0.109336i | ||||
\(115\) | 1472.75 | + | 1235.78i | 1.19421 | + | 1.00206i | ||||
\(116\) | −129.396 | + | 733.842i | −0.103570 | + | 0.587375i | ||||
\(117\) | −2025.64 | −1.60060 | ||||||||
\(118\) | 98.5775 | − | 559.061i | 0.0769051 | − | 0.436150i | ||||
\(119\) | 343.580 | + | 595.098i | 0.264672 | + | 0.458425i | ||||
\(120\) | −693.391 | + | 581.824i | −0.527480 | + | 0.442608i | ||||
\(121\) | −62.2934 | + | 107.895i | −0.0468020 | + | 0.0810634i | ||||
\(122\) | 407.879 | + | 706.468i | 0.302686 | + | 0.524267i | ||||
\(123\) | 292.118 | + | 106.322i | 0.214141 | + | 0.0779411i | ||||
\(124\) | 233.737 | + | 196.129i | 0.169276 | + | 0.142039i | ||||
\(125\) | 124.248 | − | 215.203i | 0.0889043 | − | 0.153987i | ||||
\(126\) | −55.7670 | − | 316.270i | −0.0394295 | − | 0.223616i | ||||
\(127\) | −331.622 | − | 1880.72i | −0.231706 | − | 1.31407i | −0.849440 | − | 0.527684i | \(-0.823060\pi\) |
0.617734 | − | 0.786387i | \(-0.288051\pi\) | |||||||
\(128\) | 98.0537 | − | 82.2768i | 0.0677094 | − | 0.0568149i | ||||
\(129\) | 578.435 | − | 210.533i | 0.394794 | − | 0.143693i | ||||
\(130\) | 2096.11 | − | 762.921i | 1.41416 | − | 0.514712i | ||||
\(131\) | 1863.69 | − | 1563.82i | 1.24299 | − | 1.04299i | 0.245705 | − | 0.969345i | \(-0.420981\pi\) |
0.997284 | − | 0.0736468i | \(-0.0234638\pi\) | |||||||
\(132\) | 196.115 | + | 1112.22i | 0.129315 | + | 0.733383i | ||||
\(133\) | 26.3991 | + | 149.716i | 0.0172112 | + | 0.0976095i | ||||
\(134\) | −278.361 | + | 482.136i | −0.179453 | + | 0.310822i | ||||
\(135\) | −66.5204 | − | 55.8172i | −0.0424086 | − | 0.0355850i | ||||
\(136\) | −893.292 | − | 325.132i | −0.563229 | − | 0.204999i | ||||
\(137\) | −89.3540 | − | 154.766i | −0.0557228 | − | 0.0965147i | 0.836818 | − | 0.547481i | \(-0.184413\pi\) |
−0.892541 | + | 0.450966i | \(0.851080\pi\) | |||||||
\(138\) | 930.599 | − | 1611.84i | 0.574042 | − | 0.994271i | ||||
\(139\) | −1773.02 | + | 1487.74i | −1.08191 | + | 0.907831i | −0.996078 | − | 0.0884787i | \(-0.971799\pi\) |
−0.0858326 | + | 0.996310i | \(0.527355\pi\) | |||||||
\(140\) | 176.825 | + | 306.269i | 0.106746 | + | 0.184889i | ||||
\(141\) | −736.027 | + | 4174.22i | −0.439607 | + | 2.49314i | ||||
\(142\) | −1989.31 | −1.17563 | ||||||||
\(143\) | 483.297 | − | 2740.92i | 0.282625 | − | 1.60284i | ||||
\(144\) | 340.338 | + | 285.577i | 0.196955 | + | 0.165265i | ||||
\(145\) | 2676.39 | − | 974.126i | 1.53284 | − | 0.557909i | ||||
\(146\) | 1824.44 | + | 664.041i | 1.03419 | + | 0.376414i | ||||
\(147\) | 2290.89 | 1.28537 | ||||||||
\(148\) | −838.854 | + | 326.759i | −0.465901 | + | 0.181483i | ||||
\(149\) | −2859.71 | −1.57233 | −0.786164 | − | 0.618018i | \(-0.787936\pi\) | ||||
−0.786164 | + | 0.618018i | \(0.787936\pi\) | |||||||
\(150\) | 1512.49 | + | 550.502i | 0.823296 | + | 0.299655i | ||||
\(151\) | −2201.06 | + | 801.121i | −1.18622 | + | 0.431750i | −0.858396 | − | 0.512987i | \(-0.828539\pi\) |
−0.327828 | + | 0.944738i | \(0.606317\pi\) | |||||||
\(152\) | −161.110 | − | 135.187i | −0.0859719 | − | 0.0721390i | ||||
\(153\) | 572.960 | − | 3249.42i | 0.302752 | − | 1.71699i | ||||
\(154\) | 441.255 | 0.230892 | ||||||||
\(155\) | 202.514 | − | 1148.52i | 0.104944 | − | 0.595168i | ||||
\(156\) | −1079.73 | − | 1870.15i | −0.554153 | − | 0.959821i | ||||
\(157\) | 317.291 | − | 266.239i | 0.161290 | − | 0.135339i | −0.558571 | − | 0.829457i | \(-0.688650\pi\) |
0.719861 | + | 0.694118i | \(0.244206\pi\) | |||||||
\(158\) | 466.052 | − | 807.226i | 0.234665 | − | 0.406452i | ||||
\(159\) | −1071.91 | − | 1856.60i | −0.534642 | − | 0.926026i | ||||
\(160\) | −459.736 | − | 167.330i | −0.227158 | − | 0.0826788i | ||||
\(161\) | −557.052 | − | 467.422i | −0.272682 | − | 0.228808i | ||||
\(162\) | 707.689 | − | 1225.75i | 0.343218 | − | 0.594471i | ||||
\(163\) | −419.705 | − | 2380.27i | −0.201680 | − | 1.14378i | −0.902579 | − | 0.430524i | \(-0.858329\pi\) |
0.700899 | − | 0.713261i | \(-0.252782\pi\) | |||||||
\(164\) | 29.1770 | + | 165.471i | 0.0138923 | + | 0.0787874i | ||||
\(165\) | 3306.79 | − | 2774.73i | 1.56020 | − | 1.30917i | ||||
\(166\) | −986.526 | + | 359.066i | −0.461261 | + | 0.167885i | ||||
\(167\) | −2601.64 | + | 946.918i | −1.20551 | + | 0.438771i | −0.865145 | − | 0.501522i | \(-0.832774\pi\) |
−0.340367 | + | 0.940293i | \(0.610551\pi\) | |||||||
\(168\) | 262.268 | − | 220.069i | 0.120443 | − | 0.101064i | ||||
\(169\) | 542.598 | + | 3077.23i | 0.246972 | + | 1.40065i | ||||
\(170\) | 630.944 | + | 3578.26i | 0.284654 | + | 1.61435i | ||||
\(171\) | 364.993 | − | 632.186i | 0.163226 | − | 0.282716i | ||||
\(172\) | 254.872 | + | 213.863i | 0.112987 | + | 0.0948074i | ||||
\(173\) | 3270.91 | + | 1190.51i | 1.43747 | + | 0.523197i | 0.939063 | − | 0.343744i | \(-0.111695\pi\) |
0.498410 | + | 0.866942i | \(0.333918\pi\) | |||||||
\(174\) | −1378.64 | − | 2387.88i | −0.600660 | − | 1.04037i | ||||
\(175\) | 314.431 | − | 544.611i | 0.135822 | − | 0.235250i | ||||
\(176\) | −467.620 | + | 392.380i | −0.200274 | + | 0.168050i | ||||
\(177\) | 1050.29 | + | 1819.16i | 0.446015 | + | 0.772520i | ||||
\(178\) | 237.177 | − | 1345.10i | 0.0998716 | − | 0.566400i | ||||
\(179\) | −3103.34 | −1.29584 | −0.647919 | − | 0.761710i | \(-0.724360\pi\) | ||||
−0.647919 | + | 0.761710i | \(0.724360\pi\) | |||||||
\(180\) | 294.876 | − | 1672.32i | 0.122104 | − | 0.692487i | ||||
\(181\) | 130.827 | + | 109.777i | 0.0537254 | + | 0.0450809i | 0.669255 | − | 0.743033i | \(-0.266613\pi\) |
−0.615530 | + | 0.788114i | \(0.711058\pi\) | |||||||
\(182\) | −792.832 | + | 288.567i | −0.322905 | + | 0.117528i | ||||
\(183\) | −2836.47 | − | 1032.39i | −1.14578 | − | 0.417031i | ||||
\(184\) | 1005.98 | 0.403055 | ||||||||
\(185\) | 2684.74 | + | 2152.24i | 1.06695 | + | 0.855327i | ||||
\(186\) | −1129.03 | −0.445077 | ||||||||
\(187\) | 4260.13 | + | 1550.56i | 1.66594 | + | 0.606354i | ||||
\(188\) | −2152.82 | + | 783.563i | −0.835163 | + | 0.303974i | ||||
\(189\) | 25.1607 | + | 21.1123i | 0.00968344 | + | 0.00812537i | ||||
\(190\) | −139.589 | + | 791.647i | −0.0532991 | + | 0.302274i | ||||
\(191\) | −738.788 | −0.279879 | −0.139939 | − | 0.990160i | \(-0.544691\pi\) | ||||
−0.139939 | + | 0.990160i | \(0.544691\pi\) | |||||||
\(192\) | −82.2454 | + | 466.437i | −0.0309143 | + | 0.175324i | ||||
\(193\) | −471.737 | − | 817.072i | −0.175940 | − | 0.304736i | 0.764546 | − | 0.644569i | \(-0.222963\pi\) |
−0.940486 | + | 0.339832i | \(0.889630\pi\) | |||||||
\(194\) | 796.371 | − | 668.235i | 0.294722 | − | 0.247301i | ||||
\(195\) | −4126.95 | + | 7148.08i | −1.51557 | + | 2.62505i | ||||
\(196\) | 619.118 | + | 1072.34i | 0.225626 | + | 0.390796i | ||||
\(197\) | −1753.11 | − | 638.080i | −0.634030 | − | 0.230768i | 0.00495424 | − | 0.999988i | \(-0.498423\pi\) |
−0.638985 | + | 0.769220i | \(0.720645\pi\) | |||||||
\(198\) | −1623.08 | − | 1361.92i | −0.582561 | − | 0.488827i | ||||
\(199\) | 631.547 | − | 1093.87i | 0.224971 | − | 0.389661i | −0.731340 | − | 0.682013i | \(-0.761105\pi\) |
0.956311 | + | 0.292352i | \(0.0944380\pi\) | |||||||
\(200\) | 151.069 | + | 856.756i | 0.0534110 | + | 0.302909i | ||||
\(201\) | −357.718 | − | 2028.72i | −0.125530 | − | 0.711914i | ||||
\(202\) | −2049.65 | + | 1719.86i | −0.713924 | + | 0.599054i | ||||
\(203\) | −1012.32 | + | 368.454i | −0.350004 | + | 0.127391i | ||||
\(204\) | 3305.41 | − | 1203.07i | 1.13444 | − | 0.412901i | ||||
\(205\) | 491.969 | − | 412.811i | 0.167613 | − | 0.140644i | ||||
\(206\) | 144.712 | + | 820.702i | 0.0489444 | + | 0.277578i | ||||
\(207\) | 606.328 | + | 3438.66i | 0.203588 | + | 1.15461i | ||||
\(208\) | 583.600 | − | 1010.82i | 0.194545 | − | 0.336962i | ||||
\(209\) | 768.335 | + | 644.710i | 0.254291 | + | 0.213376i | ||||
\(210\) | −1229.67 | − | 447.565i | −0.404074 | − | 0.147071i | ||||
\(211\) | 399.625 | + | 692.171i | 0.130385 | + | 0.225834i | 0.923825 | − | 0.382815i | \(-0.125045\pi\) |
−0.793440 | + | 0.608649i | \(0.791712\pi\) | |||||||
\(212\) | 579.371 | − | 1003.50i | 0.187695 | − | 0.325098i | ||||
\(213\) | 5638.83 | − | 4731.54i | 1.81392 | − | 1.52206i | ||||
\(214\) | 440.771 | + | 763.437i | 0.140797 | + | 0.243867i | ||||
\(215\) | 220.826 | − | 1252.37i | 0.0700475 | − | 0.397259i | ||||
\(216\) | −45.4379 | −0.0143132 | ||||||||
\(217\) | −76.5991 | + | 434.415i | −0.0239626 | + | 0.135899i | ||||
\(218\) | 2651.93 | + | 2225.24i | 0.823907 | + | 0.691340i | ||||
\(219\) | −6750.88 | + | 2457.12i | −2.08302 | + | 0.758159i | ||||
\(220\) | 2192.49 | + | 798.001i | 0.671898 | + | 0.244551i | ||||
\(221\) | −8668.48 | −2.63848 | ||||||||
\(222\) | 1600.59 | − | 2921.41i | 0.483895 | − | 0.883209i | ||||
\(223\) | 848.582 | 0.254822 | 0.127411 | − | 0.991850i | \(-0.459333\pi\) | ||||
0.127411 | + | 0.991850i | \(0.459333\pi\) | |||||||
\(224\) | 173.891 | + | 63.2910i | 0.0518685 | + | 0.0188786i | ||||
\(225\) | −2837.51 | + | 1032.77i | −0.840745 | + | 0.306006i | ||||
\(226\) | −152.354 | − | 127.840i | −0.0448427 | − | 0.0376275i | ||||
\(227\) | 1076.00 | − | 6102.29i | 0.314610 | − | 1.78424i | −0.259786 | − | 0.965666i | \(-0.583652\pi\) |
0.574397 | − | 0.818577i | \(-0.305237\pi\) | |||||||
\(228\) | 778.214 | 0.226046 | ||||||||
\(229\) | −1085.72 | + | 6157.44i | −0.313304 | + | 1.77684i | 0.268272 | + | 0.963343i | \(0.413548\pi\) |
−0.581576 | + | 0.813492i | \(0.697564\pi\) | |||||||
\(230\) | −1922.53 | − | 3329.93i | −0.551166 | − | 0.954647i | ||||
\(231\) | −1250.76 | + | 1049.51i | −0.356252 | + | 0.298931i | ||||
\(232\) | 745.163 | − | 1290.66i | 0.210872 | − | 0.365241i | ||||
\(233\) | 3224.09 | + | 5584.28i | 0.906510 | + | 1.57012i | 0.818877 | + | 0.573969i | \(0.194597\pi\) |
0.0876328 | + | 0.996153i | \(0.472070\pi\) | |||||||
\(234\) | 3806.95 | + | 1385.62i | 1.06354 | + | 0.387097i | ||||
\(235\) | 6707.93 | + | 5628.62i | 1.86203 | + | 1.56243i | ||||
\(236\) | −567.685 | + | 983.260i | −0.156581 | + | 0.271207i | ||||
\(237\) | 598.916 | + | 3396.62i | 0.164151 | + | 0.930946i | ||||
\(238\) | −238.648 | − | 1353.44i | −0.0649969 | − | 0.368616i | ||||
\(239\) | 1900.06 | − | 1594.34i | 0.514244 | − | 0.431502i | −0.348375 | − | 0.937355i | \(-0.613267\pi\) |
0.862620 | + | 0.505853i | \(0.168822\pi\) | |||||||
\(240\) | 1701.14 | − | 619.164i | 0.457534 | − | 0.166529i | ||||
\(241\) | −2919.29 | + | 1062.53i | −0.780281 | + | 0.283999i | −0.701290 | − | 0.712876i | \(-0.747392\pi\) |
−0.0789913 | + | 0.996875i | \(0.525170\pi\) | |||||||
\(242\) | 190.878 | − | 160.166i | 0.0507029 | − | 0.0425448i | ||||
\(243\) | 936.069 | + | 5308.71i | 0.247115 | + | 1.40146i | ||||
\(244\) | −283.310 | − | 1606.73i | −0.0743322 | − | 0.421559i | ||||
\(245\) | 2366.39 | − | 4098.70i | 0.617073 | − | 1.06880i | ||||
\(246\) | −476.273 | − | 399.641i | −0.123439 | − | 0.103578i | ||||
\(247\) | −1802.14 | − | 655.925i | −0.464241 | − | 0.168970i | ||||
\(248\) | −305.122 | − | 528.486i | −0.0781260 | − | 0.135318i | ||||
\(249\) | 1942.34 | − | 3364.22i | 0.494339 | − | 0.856221i | ||||
\(250\) | −380.717 | + | 319.459i | −0.0963145 | + | 0.0808175i | ||||
\(251\) | 2984.80 | + | 5169.83i | 0.750594 | + | 1.30007i | 0.947535 | + | 0.319652i | \(0.103566\pi\) |
−0.196941 | + | 0.980415i | \(0.563101\pi\) | |||||||
\(252\) | −111.534 | + | 632.540i | −0.0278809 | + | 0.158120i | ||||
\(253\) | −4797.56 | −1.19217 | ||||||||
\(254\) | −663.244 | + | 3761.44i | −0.163841 | + | 0.929189i | ||||
\(255\) | −10299.3 | − | 8642.10i | −2.52927 | − | 2.12231i | ||||
\(256\) | −240.561 | + | 87.5572i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −2314.83 | − | 842.529i | −0.561849 | − | 0.204496i | 0.0454545 | − | 0.998966i | \(-0.485526\pi\) |
−0.607303 | + | 0.794470i | \(0.707749\pi\) | |||||||
\(258\) | −1231.12 | −0.297077 | ||||||||
\(259\) | −1015.48 | − | 814.062i | −0.243624 | − | 0.195303i | ||||
\(260\) | −4461.26 | −1.06414 | ||||||||
\(261\) | 4860.86 | + | 1769.21i | 1.15280 | + | 0.419583i | ||||
\(262\) | −4572.31 | + | 1664.19i | −1.07816 | + | 0.392419i | ||||
\(263\) | −2026.91 | − | 1700.78i | −0.475226 | − | 0.398762i | 0.373470 | − | 0.927642i | \(-0.378168\pi\) |
−0.848697 | + | 0.528880i | \(0.822612\pi\) | |||||||
\(264\) | 392.230 | − | 2224.45i | 0.0914397 | − | 0.518580i | ||||
\(265\) | −4428.94 | −1.02667 | ||||||||
\(266\) | 52.7981 | − | 299.433i | 0.0121701 | − | 0.0690203i | ||||
\(267\) | 2526.99 | + | 4376.87i | 0.579211 | + | 1.00322i | ||||
\(268\) | 852.948 | − | 715.708i | 0.194411 | − | 0.163130i | ||||
\(269\) | 2749.46 | − | 4762.21i | 0.623188 | − | 1.07939i | −0.365700 | − | 0.930733i | \(-0.619170\pi\) |
0.988888 | − | 0.148661i | \(-0.0474963\pi\) | |||||||
\(270\) | 86.8362 | + | 150.405i | 0.0195729 | + | 0.0339012i | ||||
\(271\) | 3626.78 | + | 1320.04i | 0.812957 | + | 0.295892i | 0.714845 | − | 0.699283i | \(-0.246497\pi\) |
0.0981123 | + | 0.995175i | \(0.468720\pi\) | |||||||
\(272\) | 1456.44 | + | 1222.10i | 0.324667 | + | 0.272428i | ||||
\(273\) | 1560.98 | − | 2703.69i | 0.346061 | − | 0.599395i | ||||
\(274\) | 62.0646 | + | 351.986i | 0.0136842 | + | 0.0776067i | ||||
\(275\) | −720.452 | − | 4085.88i | −0.157981 | − | 0.895957i | ||||
\(276\) | −2851.52 | + | 2392.71i | −0.621889 | + | 0.521827i | ||||
\(277\) | 7219.15 | − | 2627.56i | 1.56591 | − | 0.569944i | 0.593829 | − | 0.804591i | \(-0.297616\pi\) |
0.972081 | + | 0.234647i | \(0.0753934\pi\) | |||||||
\(278\) | 4349.86 | − | 1583.22i | 0.938444 | − | 0.341566i | ||||
\(279\) | 1622.57 | − | 1361.50i | 0.348175 | − | 0.292153i | ||||
\(280\) | −122.821 | − | 696.553i | −0.0262142 | − | 0.148668i | ||||
\(281\) | −1142.21 | − | 6477.78i | −0.242485 | − | 1.37520i | −0.826261 | − | 0.563287i | \(-0.809536\pi\) |
0.583776 | − | 0.811915i | \(-0.301575\pi\) | |||||||
\(282\) | 4238.61 | − | 7341.49i | 0.895055 | − | 1.55028i | ||||
\(283\) | −1492.76 | − | 1252.57i | −0.313552 | − | 0.263101i | 0.472407 | − | 0.881381i | \(-0.343385\pi\) |
−0.785958 | + | 0.618280i | \(0.787830\pi\) | |||||||
\(284\) | 3738.69 | + | 1360.77i | 0.781163 | + | 0.284320i | ||||
\(285\) | −1487.24 | − | 2575.98i | −0.309111 | − | 0.535396i | ||||
\(286\) | −2783.20 | + | 4820.64i | −0.575433 | + | 0.996680i | ||||
\(287\) | −186.082 | + | 156.142i | −0.0382721 | + | 0.0321141i | ||||
\(288\) | −444.280 | − | 769.515i | −0.0909008 | − | 0.157445i | ||||
\(289\) | 1598.78 | − | 9067.16i | 0.325419 | − | 1.84554i | ||||
\(290\) | −5696.31 | −1.15344 | ||||||||
\(291\) | −667.980 | + | 3788.30i | −0.134562 | + | 0.763141i | ||||
\(292\) | −2974.59 | − | 2495.98i | −0.596146 | − | 0.500226i | ||||
\(293\) | 5244.38 | − | 1908.80i | 1.04567 | − | 0.380591i | 0.238640 | − | 0.971108i | \(-0.423298\pi\) |
0.807025 | + | 0.590517i | \(0.201076\pi\) | |||||||
\(294\) | −4305.47 | − | 1567.06i | −0.854082 | − | 0.310860i | ||||
\(295\) | 4339.61 | 0.856480 | ||||||||
\(296\) | 1800.05 | − | 40.2968i | 0.353465 | − | 0.00791286i | ||||
\(297\) | 216.694 | 0.0423362 | ||||||||
\(298\) | 5374.50 | + | 1956.16i | 1.04475 | + | 0.380259i | ||||
\(299\) | 8620.10 | − | 3137.46i | 1.66727 | − | 0.606836i | ||||
\(300\) | −2465.99 | − | 2069.21i | −0.474580 | − | 0.398220i | ||||
\(301\) | −83.5253 | + | 473.696i | −0.0159944 | + | 0.0907089i | ||||
\(302\) | 4684.64 | 0.892618 | ||||||||
\(303\) | 1719.20 | − | 9750.08i | 0.325959 | − | 1.84861i | ||||
\(304\) | 210.314 | + | 364.274i | 0.0396787 | + | 0.0687255i | ||||
\(305\) | −4777.03 | + | 4008.41i | −0.896827 | + | 0.752527i | ||||
\(306\) | −3299.55 | + | 5714.98i | −0.616413 | + | 1.06766i | ||||
\(307\) | 1584.42 | + | 2744.30i | 0.294553 | + | 0.510181i | 0.974881 | − | 0.222727i | \(-0.0714958\pi\) |
−0.680327 | + | 0.732908i | \(0.738162\pi\) | |||||||
\(308\) | −829.288 | − | 301.836i | −0.153419 | − | 0.0558399i | ||||
\(309\) | −2362.21 | − | 1982.13i | −0.434892 | − | 0.364918i | ||||
\(310\) | −1166.23 | + | 2019.98i | −0.213670 | + | 0.370087i | ||||
\(311\) | 288.839 | + | 1638.09i | 0.0526642 | + | 0.298673i | 0.999751 | − | 0.0223034i | \(-0.00709998\pi\) |
−0.947087 | + | 0.320977i | \(0.895989\pi\) | |||||||
\(312\) | 749.975 | + | 4253.32i | 0.136086 | + | 0.771784i | ||||
\(313\) | 1246.69 | − | 1046.10i | 0.225135 | − | 0.188911i | −0.523242 | − | 0.852184i | \(-0.675278\pi\) |
0.748377 | + | 0.663273i | \(0.230833\pi\) | |||||||
\(314\) | −778.430 | + | 283.325i | −0.139902 | + | 0.0509203i | ||||
\(315\) | 2306.93 | − | 839.655i | 0.412638 | − | 0.150188i | ||||
\(316\) | −1428.07 | + | 1198.29i | −0.254225 | + | 0.213320i | ||||
\(317\) | −15.2333 | − | 86.3925i | −0.00269902 | − | 0.0153069i | 0.983429 | − | 0.181296i | \(-0.0580293\pi\) |
−0.986128 | + | 0.165989i | \(0.946918\pi\) | |||||||
\(318\) | 744.541 | + | 4222.50i | 0.131295 | + | 0.744611i | ||||
\(319\) | −3553.69 | + | 6155.18i | −0.623726 | + | 1.08033i | ||||
\(320\) | 749.560 | + | 628.956i | 0.130943 | + | 0.109874i | ||||
\(321\) | −3065.21 | − | 1115.64i | −0.532970 | − | 0.193985i | ||||
\(322\) | 727.179 | + | 1259.51i | 0.125851 | + | 0.217981i | ||||
\(323\) | 1561.94 | − | 2705.37i | 0.269068 | − | 0.466039i | ||||
\(324\) | −2168.49 | + | 1819.57i | −0.371825 | + | 0.311998i | ||||
\(325\) | 3966.53 | + | 6870.23i | 0.676995 | + | 1.17259i | ||||
\(326\) | −839.411 | + | 4760.54i | −0.142609 | + | 0.808778i | ||||
\(327\) | −12809.7 | −2.16630 | ||||||||
\(328\) | 58.3541 | − | 330.942i | 0.00982337 | − | 0.0557111i | ||||
\(329\) | −2537.21 | − | 2128.97i | −0.425170 | − | 0.356760i | ||||
\(330\) | −8112.76 | + | 2952.80i | −1.35331 | + | 0.492565i | ||||
\(331\) | −2220.82 | − | 808.312i | −0.368783 | − | 0.134226i | 0.150979 | − | 0.988537i | \(-0.451757\pi\) |
−0.519763 | + | 0.854311i | \(0.673980\pi\) | |||||||
\(332\) | 2099.68 | 0.347093 | ||||||||
\(333\) | 1222.67 | + | 6128.64i | 0.201207 | + | 1.00855i | ||||
\(334\) | 5537.20 | 0.907133 | ||||||||
\(335\) | −3999.14 | − | 1455.57i | −0.652229 | − | 0.237392i | ||||
\(336\) | −643.439 | + | 234.193i | −0.104472 | + | 0.0380246i | ||||
\(337\) | 571.075 | + | 479.189i | 0.0923099 | + | 0.0774572i | 0.687775 | − | 0.725924i | \(-0.258588\pi\) |
−0.595465 | + | 0.803381i | \(0.703032\pi\) | |||||||
\(338\) | 1085.20 | − | 6154.45i | 0.174636 | − | 0.990408i | ||||
\(339\) | 735.923 | 0.117905 | ||||||||
\(340\) | 1261.89 | − | 7156.52i | 0.201281 | − | 1.14152i | ||||
\(341\) | 1455.13 | + | 2520.36i | 0.231084 | + | 0.400250i | ||||
\(342\) | −1118.40 | + | 938.451i | −0.176831 | + | 0.148379i | ||||
\(343\) | −1886.82 | + | 3268.06i | −0.297022 | + | 0.514457i | ||||
\(344\) | −332.711 | − | 576.273i | −0.0521471 | − | 0.0903214i | ||||
\(345\) | 13369.7 | + | 4866.17i | 2.08638 | + | 0.759379i | ||||
\(346\) | −5332.94 | − | 4474.87i | −0.828615 | − | 0.695291i | ||||
\(347\) | −1138.81 | + | 1972.48i | −0.176180 | + | 0.305153i | −0.940569 | − | 0.339602i | \(-0.889708\pi\) |
0.764389 | + | 0.644756i | \(0.223041\pi\) | |||||||
\(348\) | 957.597 | + | 5430.80i | 0.147507 | + | 0.836556i | ||||
\(349\) | 1567.91 | + | 8892.09i | 0.240483 | + | 1.36385i | 0.830753 | + | 0.556641i | \(0.187910\pi\) |
−0.590270 | + | 0.807206i | \(0.700979\pi\) | |||||||
\(350\) | −963.474 | + | 808.450i | −0.147142 | + | 0.123467i | ||||
\(351\) | −389.349 | + | 141.711i | −0.0592077 | + | 0.0215498i | ||||
\(352\) | 1147.24 | − | 417.562i | 0.173716 | − | 0.0632276i | ||||
\(353\) | −4482.64 | + | 3761.38i | −0.675884 | + | 0.567134i | −0.914800 | − | 0.403906i | \(-0.867652\pi\) |
0.238916 | + | 0.971040i | \(0.423208\pi\) | |||||||
\(354\) | −729.524 | − | 4137.33i | −0.109530 | − | 0.621177i | ||||
\(355\) | −2640.68 | − | 14976.1i | −0.394797 | − | 2.23900i | ||||
\(356\) | −1365.85 | + | 2365.72i | −0.203342 | + | 0.352199i | ||||
\(357\) | 3895.59 | + | 3268.79i | 0.577526 | + | 0.484601i | ||||
\(358\) | 5832.38 | + | 2122.81i | 0.861036 | + | 0.313391i | ||||
\(359\) | 4354.29 | + | 7541.86i | 0.640141 | + | 1.10876i | 0.985401 | + | 0.170250i | \(0.0544576\pi\) |
−0.345259 | + | 0.938507i | \(0.612209\pi\) | |||||||
\(360\) | −1698.12 | + | 2941.23i | −0.248608 | + | 0.430602i | ||||
\(361\) | −4724.87 | + | 3964.63i | −0.688857 | + | 0.578019i | ||||
\(362\) | −170.783 | − | 295.804i | −0.0247959 | − | 0.0429478i | ||||
\(363\) | −160.105 | + | 907.999i | −0.0231496 | + | 0.131288i | ||||
\(364\) | 1687.43 | 0.242982 | ||||||||
\(365\) | −2577.25 | + | 14616.3i | −0.369587 | + | 2.09603i | ||||
\(366\) | 4624.63 | + | 3880.53i | 0.660474 | + | 0.554203i | ||||
\(367\) | −3546.32 | + | 1290.76i | −0.504405 | + | 0.183588i | −0.581674 | − | 0.813422i | \(-0.697602\pi\) |
0.0772694 | + | 0.997010i | \(0.475380\pi\) | |||||||
\(368\) | −1890.63 | − | 688.134i | −0.267815 | − | 0.0974768i | ||||
\(369\) | 1166.40 | 0.164554 | ||||||||
\(370\) | −3573.45 | − | 5881.35i | −0.502094 | − | 0.826370i | ||||
\(371\) | 1675.20 | 0.234426 | ||||||||
\(372\) | 2121.88 | + | 772.300i | 0.295737 | + | 0.107640i | ||||
\(373\) | −1939.63 | + | 705.966i | −0.269249 | + | 0.0979987i | −0.473117 | − | 0.881000i | \(-0.656871\pi\) |
0.203867 | + | 0.978999i | \(0.434649\pi\) | |||||||
\(374\) | −6945.78 | − | 5828.20i | −0.960314 | − | 0.805799i | ||||
\(375\) | 319.337 | − | 1811.05i | 0.0439747 | − | 0.249393i | ||||
\(376\) | 4581.97 | 0.628449 | ||||||||
\(377\) | 2359.86 | − | 13383.4i | 0.322385 | − | 1.82833i | ||||
\(378\) | −32.8449 | − | 56.8891i | −0.00446921 | − | 0.00774090i | ||||
\(379\) | −4119.94 | + | 3457.04i | −0.558383 | + | 0.468539i | −0.877768 | − | 0.479086i | \(-0.840968\pi\) |
0.319385 | + | 0.947625i | \(0.396524\pi\) | |||||||
\(380\) | 803.860 | − | 1392.33i | 0.108519 | − | 0.187960i | ||||
\(381\) | −7066.50 | − | 12239.5i | −0.950204 | − | 1.64580i | ||||
\(382\) | 1388.47 | + | 505.361i | 0.185969 | + | 0.0676872i | ||||
\(383\) | −9614.39 | − | 8067.43i | −1.28270 | − | 1.07631i | −0.992867 | − | 0.119231i | \(-0.961957\pi\) |
−0.289829 | − | 0.957079i | \(-0.593598\pi\) | |||||||
\(384\) | 473.632 | − | 820.355i | 0.0629426 | − | 0.109020i | ||||
\(385\) | 585.736 | + | 3321.88i | 0.0775374 | + | 0.439736i | ||||
\(386\) | 327.665 | + | 1858.28i | 0.0432065 | + | 0.245036i | ||||
\(387\) | 1769.29 | − | 1484.61i | 0.232398 | − | 0.195005i | ||||
\(388\) | −1953.79 | + | 711.121i | −0.255641 | + | 0.0930456i | ||||
\(389\) | 2199.10 | − | 800.408i | 0.286630 | − | 0.104325i | −0.194704 | − | 0.980862i | \(-0.562375\pi\) |
0.481334 | + | 0.876537i | \(0.340152\pi\) | |||||||
\(390\) | 12645.7 | − | 10611.0i | 1.64190 | − | 1.37772i | ||||
\(391\) | 2594.71 | + | 14715.3i | 0.335602 | + | 1.90329i | ||||
\(392\) | −430.035 | − | 2438.85i | −0.0554082 | − | 0.314236i | ||||
\(393\) | 9002.26 | − | 15592.4i | 1.15548 | − | 2.00135i | ||||
\(394\) | 2858.30 | + | 2398.40i | 0.365480 | + | 0.306674i | ||||
\(395\) | 6695.65 | + | 2437.02i | 0.852898 | + | 0.310429i | ||||
\(396\) | 2118.78 | + | 3669.83i | 0.268870 | + | 0.465697i | ||||
\(397\) | 2946.46 | − | 5103.42i | 0.372490 | − | 0.645172i | −0.617458 | − | 0.786604i | \(-0.711837\pi\) |
0.989948 | + | 0.141432i | \(0.0451706\pi\) | |||||||
\(398\) | −1935.17 | + | 1623.80i | −0.243722 | + | 0.204507i | ||||
\(399\) | 562.535 | + | 974.339i | 0.0705814 | + | 0.122251i | ||||
\(400\) | 302.138 | − | 1713.51i | 0.0377673 | − | 0.214189i | ||||
\(401\) | −7291.93 | −0.908084 | −0.454042 | − | 0.890980i | \(-0.650018\pi\) | ||||
−0.454042 | + | 0.890980i | \(0.650018\pi\) | |||||||
\(402\) | −715.435 | + | 4057.43i | −0.0887628 | + | 0.503399i | ||||
\(403\) | −4262.77 | − | 3576.89i | −0.526908 | − | 0.442128i | ||||
\(404\) | 5028.53 | − | 1830.24i | 0.619254 | − | 0.225390i | ||||
\(405\) | 10167.2 | + | 3700.55i | 1.24744 | + | 0.454030i | ||||
\(406\) | 2154.57 | 0.263374 | ||||||||
\(407\) | −8584.46 | + | 192.176i | −1.04549 | + | 0.0234050i | ||||
\(408\) | −7035.08 | −0.853648 | ||||||||
\(409\) | −1956.72 | − | 712.189i | −0.236562 | − | 0.0861014i | 0.221019 | − | 0.975269i | \(-0.429062\pi\) |
−0.457581 | + | 0.889168i | \(0.651284\pi\) | |||||||
\(410\) | −1206.98 | + | 439.304i | −0.145386 | + | 0.0529163i | ||||
\(411\) | −1013.12 | − | 850.105i | −0.121590 | − | 0.102026i | ||||
\(412\) | 289.424 | − | 1641.40i | 0.0346089 | − | 0.196277i | ||||
\(413\) | −1641.41 | −0.195566 | ||||||||
\(414\) | 1212.66 | − | 6877.32i | 0.143959 | − | 0.816429i | ||||
\(415\) | −4012.69 | − | 6950.18i | −0.474639 | − | 0.822099i | ||||
\(416\) | −1788.25 | + | 1500.52i | −0.210760 | + | 0.176849i | ||||
\(417\) | −8564.28 | + | 14833.8i | −1.00574 | + | 1.74200i | ||||
\(418\) | −1002.99 | − | 1737.23i | −0.117363 | − | 0.203279i | ||||
\(419\) | 6237.21 | + | 2270.16i | 0.727225 | + | 0.264688i | 0.678990 | − | 0.734148i | \(-0.262418\pi\) |
0.0482355 | + | 0.998836i | \(0.484640\pi\) | |||||||
\(420\) | 2004.88 | + | 1682.29i | 0.232924 | + | 0.195446i | ||||
\(421\) | −440.919 | + | 763.695i | −0.0510430 | + | 0.0884090i | −0.890418 | − | 0.455144i | \(-0.849588\pi\) |
0.839375 | + | 0.543553i | \(0.182921\pi\) | |||||||
\(422\) | −277.577 | − | 1574.22i | −0.0320195 | − | 0.181591i | ||||
\(423\) | 2761.65 | + | 15662.1i | 0.317438 | + | 1.80028i | ||||
\(424\) | −1775.30 | + | 1489.65i | −0.203340 | + | 0.170622i | ||||
\(425\) | −12142.8 | + | 4419.62i | −1.38591 | + | 0.504431i | ||||
\(426\) | −13834.1 | + | 5035.20i | −1.57339 | + | 0.572667i | ||||
\(427\) | 1806.87 | − | 1516.14i | 0.204778 | − | 0.171830i | ||||
\(428\) | −306.156 | − | 1736.30i | −0.0345762 | − | 0.196091i | ||||
\(429\) | −3576.64 | − | 20284.2i | −0.402522 | − | 2.28282i | ||||
\(430\) | −1271.69 | + | 2202.63i | −0.142619 | + | 0.247023i | ||||
\(431\) | 5768.12 | + | 4840.02i | 0.644641 | + | 0.540918i | 0.905440 | − | 0.424475i | \(-0.139541\pi\) |
−0.260798 | + | 0.965393i | \(0.583986\pi\) | |||||||
\(432\) | 85.3953 | + | 31.0813i | 0.00951061 | + | 0.00346158i | ||||
\(433\) | −1367.08 | − | 2367.85i | −0.151727 | − | 0.262798i | 0.780136 | − | 0.625610i | \(-0.215150\pi\) |
−0.931862 | + | 0.362812i | \(0.881817\pi\) | |||||||
\(434\) | 441.117 | − | 764.037i | 0.0487887 | − | 0.0845045i | ||||
\(435\) | 16146.5 | − | 13548.5i | 1.77969 | − | 1.49334i | ||||
\(436\) | −3461.86 | − | 5996.11i | −0.380259 | − | 0.658627i | ||||
\(437\) | −574.049 | + | 3255.60i | −0.0628387 | + | 0.356376i | ||||
\(438\) | 14368.3 | 1.56745 | ||||||||
\(439\) | −420.400 | + | 2384.21i | −0.0457052 | + | 0.259207i | −0.999095 | − | 0.0425343i | \(-0.986457\pi\) |
0.953390 | + | 0.301741i | \(0.0975679\pi\) | |||||||
\(440\) | −3574.67 | − | 2999.50i | −0.387308 | − | 0.324990i | ||||
\(441\) | 8077.29 | − | 2939.89i | 0.872183 | − | 0.317449i | ||||
\(442\) | 16291.4 | + | 5929.59i | 1.75318 | + | 0.638104i | ||||
\(443\) | 11706.2 | 1.25548 | 0.627739 | − | 0.778424i | \(-0.283981\pi\) | ||||
0.627739 | + | 0.778424i | \(0.283981\pi\) | |||||||
\(444\) | −5006.49 | + | 4395.59i | −0.535130 | + | 0.469832i | ||||
\(445\) | 10441.1 | 1.11226 | ||||||||
\(446\) | −1594.81 | − | 580.464i | −0.169320 | − | 0.0616273i | ||||
\(447\) | −19887.0 | + | 7238.28i | −2.10430 | + | 0.765904i | ||||
\(448\) | −283.514 | − | 237.896i | −0.0298990 | − | 0.0250883i | ||||
\(449\) | −2220.62 | + | 12593.8i | −0.233402 | + | 1.32369i | 0.612550 | + | 0.790432i | \(0.290144\pi\) |
−0.845952 | + | 0.533259i | \(0.820967\pi\) | |||||||
\(450\) | 6039.24 | 0.632650 | ||||||||
\(451\) | −278.292 | + | 1578.27i | −0.0290560 | + | 0.164785i | ||||
\(452\) | 198.884 | + | 344.478i | 0.0206963 | + | 0.0358471i | ||||
\(453\) | −13278.9 | + | 11142.3i | −1.37725 | + | 1.15565i | ||||
\(454\) | −6196.43 | + | 10732.5i | −0.640557 | + | 1.10948i | ||||
\(455\) | −3224.84 | − | 5585.58i | −0.332270 | − | 0.575508i | ||||
\(456\) | −1462.56 | − | 532.330i | −0.150199 | − | 0.0546680i | ||||
\(457\) | 1696.77 | + | 1423.76i | 0.173680 | + | 0.145734i | 0.725484 | − | 0.688239i | \(-0.241616\pi\) |
−0.551804 | + | 0.833974i | \(0.686060\pi\) | |||||||
\(458\) | 6252.43 | − | 10829.5i | 0.637897 | − | 1.10487i | ||||
\(459\) | −117.197 | − | 664.656i | −0.0119178 | − | 0.0675893i | ||||
\(460\) | 1335.38 | + | 7573.30i | 0.135353 | + | 0.767624i | ||||
\(461\) | 4674.34 | − | 3922.24i | 0.472247 | − | 0.396262i | −0.375367 | − | 0.926876i | \(-0.622483\pi\) |
0.847613 | + | 0.530614i | \(0.178039\pi\) | |||||||
\(462\) | 3068.57 | − | 1116.87i | 0.309011 | − | 0.112471i | ||||
\(463\) | 7043.58 | − | 2563.65i | 0.707004 | − | 0.257329i | 0.0366058 | − | 0.999330i | \(-0.488345\pi\) |
0.670398 | + | 0.742001i | \(0.266123\pi\) | |||||||
\(464\) | −2283.31 | + | 1915.92i | −0.228448 | + | 0.191691i | ||||
\(465\) | −1498.71 | − | 8499.60i | −0.149464 | − | 0.847655i | ||||
\(466\) | −2239.43 | − | 12700.4i | −0.222617 | − | 1.26252i | ||||
\(467\) | 1968.36 | − | 3409.29i | 0.195042 | − | 0.337823i | −0.751872 | − | 0.659309i | \(-0.770849\pi\) |
0.946914 | + | 0.321486i | \(0.104182\pi\) | |||||||
\(468\) | −6206.91 | − | 5208.22i | −0.613065 | − | 0.514423i | ||||
\(469\) | 1512.64 | + | 550.555i | 0.148928 | + | 0.0542053i | ||||
\(470\) | −8756.58 | − | 15166.8i | −0.859385 | − | 1.48850i | ||||
\(471\) | 1532.62 | − | 2654.58i | 0.149935 | − | 0.259695i | ||||
\(472\) | 1739.49 | − | 1459.60i | 0.169632 | − | 0.142338i | ||||
\(473\) | 1586.71 | + | 2748.26i | 0.154243 | + | 0.267156i | ||||
\(474\) | 1197.83 | − | 6793.24i | 0.116072 | − | 0.658278i | ||||
\(475\) | −2858.86 | −0.276155 | ||||||||
\(476\) | −477.297 | + | 2706.88i | −0.0459598 | + | 0.260651i | ||||
\(477\) | −6161.94 | − | 5170.48i | −0.591480 | − | 0.496311i | ||||
\(478\) | −4661.53 | + | 1696.66i | −0.446053 | + | 0.162350i | ||||
\(479\) | −4643.37 | − | 1690.05i | −0.442925 | − | 0.161211i | 0.110924 | − | 0.993829i | \(-0.464619\pi\) |
−0.553849 | + | 0.832617i | \(0.686841\pi\) | |||||||
\(480\) | −3620.63 | −0.344288 | ||||||||
\(481\) | 15298.6 | − | 5959.27i | 1.45022 | − | 0.564905i | ||||
\(482\) | 6213.28 | 0.587152 | ||||||||
\(483\) | −5056.95 | − | 1840.58i | −0.476396 | − | 0.173394i | ||||
\(484\) | −468.293 | + | 170.445i | −0.0439795 | + | 0.0160072i | ||||
\(485\) | 6087.77 | + | 5108.24i | 0.569962 | + | 0.478255i | ||||
\(486\) | 1872.14 | − | 10617.4i | 0.174737 | − | 0.990980i | ||||
\(487\) | −1175.39 | −0.109367 | −0.0546837 | − | 0.998504i | \(-0.517415\pi\) | ||||
−0.0546837 | + | 0.998504i | \(0.517415\pi\) | |||||||
\(488\) | −566.620 | + | 3213.46i | −0.0525608 | + | 0.298087i | ||||
\(489\) | −8943.46 | − | 15490.5i | −0.827070 | − | 1.43253i | ||||
\(490\) | −7251.03 | + | 6084.34i | −0.668507 | + | 0.560944i | ||||
\(491\) | 1787.98 | − | 3096.88i | 0.164339 | − | 0.284644i | −0.772081 | − | 0.635524i | \(-0.780784\pi\) |
0.936420 | + | 0.350880i | \(0.114117\pi\) | |||||||
\(492\) | 621.731 | + | 1076.87i | 0.0569711 | + | 0.0986769i | ||||
\(493\) | 20801.5 | + | 7571.13i | 1.90031 | + | 0.691656i | ||||
\(494\) | 2938.24 | + | 2465.47i | 0.267606 | + | 0.224548i | ||||
\(495\) | 8098.38 | − | 14026.8i | 0.735344 | − | 1.27365i | ||||
\(496\) | 211.935 | + | 1201.95i | 0.0191858 | + | 0.108808i | ||||
\(497\) | 998.812 | + | 5664.55i | 0.0901466 | + | 0.511247i | ||||
\(498\) | −5951.66 | + | 4994.04i | −0.535543 | + | 0.449374i | ||||
\(499\) | −8619.96 | + | 3137.41i | −0.773311 | + | 0.281462i | −0.698381 | − | 0.715726i | \(-0.746096\pi\) |
−0.0749306 | + | 0.997189i | \(0.523874\pi\) | |||||||
\(500\) | 934.036 | − | 339.961i | 0.0835427 | − | 0.0304071i | ||||
\(501\) | −15695.5 | + | 13170.1i | −1.39965 | + | 1.17445i | ||||
\(502\) | −2073.22 | − | 11757.8i | −0.184328 | − | 1.04537i | ||||
\(503\) | −2011.94 | − | 11410.3i | −0.178345 | − | 1.01145i | −0.934211 | − | 0.356721i | \(-0.883895\pi\) |
0.755866 | − | 0.654727i | \(-0.227216\pi\) | |||||||
\(504\) | 642.298 | − | 1112.49i | 0.0567664 | − | 0.0983222i | ||||
\(505\) | −15668.3 | − | 13147.3i | −1.38065 | − | 1.15851i | ||||
\(506\) | 9016.46 | + | 3281.72i | 0.792155 | + | 0.288321i | ||||
\(507\) | 11562.2 | + | 20026.3i | 1.01281 | + | 1.75424i | ||||
\(508\) | 3819.47 | − | 6615.52i | 0.333586 | − | 0.577788i | ||||
\(509\) | −8634.81 | + | 7245.47i | −0.751928 | + | 0.630942i | −0.936012 | − | 0.351968i | \(-0.885513\pi\) |
0.184084 | + | 0.982910i | \(0.441068\pi\) | |||||||
\(510\) | 13444.7 | + | 23286.9i | 1.16734 | + | 2.02189i | ||||
\(511\) | 974.818 | − | 5528.47i | 0.0843903 | − | 0.478601i | ||||
\(512\) | 512.000 | 0.0441942 | ||||||||
\(513\) | 25.9284 | − | 147.047i | 0.00223152 | − | 0.0126556i | ||||
\(514\) | 3774.13 | + | 3166.87i | 0.323871 | + | 0.271760i | ||||
\(515\) | −5986.35 | + | 2178.85i | −0.512214 | + | 0.186431i | ||||
\(516\) | 2313.74 | + | 842.133i | 0.197397 | + | 0.0718466i | ||||
\(517\) | −21851.5 | −1.85885 | ||||||||
\(518\) | 1351.62 | + | 2224.56i | 0.114647 | + | 0.188691i | ||||
\(519\) | 25759.9 | 2.17868 | ||||||||
\(520\) | 8384.43 | + | 3051.68i | 0.707080 | + | 0.257356i | ||||
\(521\) | 3800.56 | − | 1383.29i | 0.319589 | − | 0.116321i | −0.177244 | − | 0.984167i | \(-0.556718\pi\) |
0.496833 | + | 0.867846i | \(0.334496\pi\) | |||||||
\(522\) | −7925.22 | − | 6650.05i | −0.664516 | − | 0.557595i | ||||
\(523\) | −2591.09 | + | 14694.8i | −0.216636 | + | 1.22860i | 0.661409 | + | 0.750025i | \(0.269959\pi\) |
−0.878045 | + | 0.478578i | \(0.841152\pi\) | |||||||
\(524\) | 9731.51 | 0.811303 | ||||||||
\(525\) | 808.142 | − | 4583.20i | 0.0671813 | − | 0.381004i | ||||
\(526\) | 2645.94 | + | 4582.91i | 0.219332 | + | 0.379894i | ||||
\(527\) | 6943.61 | − | 5826.38i | 0.573943 | − | 0.481596i | ||||
\(528\) | −2258.76 | + | 3912.29i | −0.186174 | + | 0.322463i | ||||
\(529\) | −1822.79 | − | 3157.16i | −0.149814 | − | 0.259485i | ||||
\(530\) | 8323.68 | + | 3029.57i | 0.682184 | + | 0.248295i | ||||
\(531\) | 6037.65 | + | 5066.19i | 0.493431 | + | 0.414038i | ||||
\(532\) | −304.052 | + | 526.634i | −0.0247788 | + | 0.0429182i | ||||
\(533\) | −532.116 | − | 3017.78i | −0.0432430 | − | 0.245243i | ||||
\(534\) | −1755.23 | − | 9954.39i | −0.142240 | − | 0.806683i | ||||
\(535\) | −5162.25 | + | 4331.64i | −0.417166 | + | 0.350044i | ||||
\(536\) | −2092.59 | + | 761.641i | −0.168631 | + | 0.0613766i | ||||
\(537\) | −21581.3 | + | 7854.94i | −1.73427 | + | 0.631221i | ||||
\(538\) | −8424.84 | + | 7069.28i | −0.675131 | + | 0.566502i | ||||
\(539\) | 2050.84 | + | 11630.9i | 0.163889 | + | 0.929460i | ||||
\(540\) | −60.3158 | − | 342.068i | −0.00480662 | − | 0.0272597i | ||||
\(541\) | 3828.87 | − | 6631.80i | 0.304281 | − | 0.527031i | −0.672820 | − | 0.739806i | \(-0.734917\pi\) |
0.977101 | + | 0.212776i | \(0.0682504\pi\) | |||||||
\(542\) | −5913.16 | − | 4961.73i | −0.468620 | − | 0.393219i | ||||
\(543\) | 1187.66 | + | 432.271i | 0.0938622 | + | 0.0341631i | ||||
\(544\) | −1901.24 | − | 3293.05i | −0.149844 | − | 0.259537i | ||||
\(545\) | −13231.9 | + | 22918.3i | −1.03998 | + | 1.80131i | ||||
\(546\) | −4783.11 | + | 4013.51i | −0.374905 | + | 0.314583i | ||||
\(547\) | −5585.69 | − | 9674.70i | −0.436612 | − | 0.756235i | 0.560813 | − | 0.827942i | \(-0.310489\pi\) |
−0.997426 | + | 0.0717076i | \(0.977155\pi\) | |||||||
\(548\) | 124.129 | − | 703.972i | 0.00967616 | − | 0.0548763i | ||||
\(549\) | −11325.8 | −0.880460 | ||||||||
\(550\) | −1440.90 | + | 8171.77i | −0.111710 | + | 0.633537i | ||||
\(551\) | 3751.65 | + | 3148.01i | 0.290065 | + | 0.243393i | ||||
\(552\) | 6995.82 | − | 2546.27i | 0.539423 | − | 0.196334i | ||||
\(553\) | −2532.56 | − | 921.778i | −0.194748 | − | 0.0708824i | ||||
\(554\) | −15364.9 | −1.17833 | ||||||||
\(555\) | 24117.8 | + | 8171.67i | 1.84458 | + | 0.624987i | ||||
\(556\) | −9258.05 | −0.706167 | ||||||||
\(557\) | −18990.0 | − | 6911.79i | −1.44458 | − | 0.525784i | −0.503508 | − | 0.863991i | \(-0.667958\pi\) |
−0.941072 | + | 0.338206i | \(0.890180\pi\) | |||||||
\(558\) | −3980.76 | + | 1448.88i | −0.302005 | + | 0.109921i | ||||
\(559\) | −4648.22 | − | 3900.32i | −0.351697 | − | 0.295109i | ||||
\(560\) | −245.642 | + | 1393.11i | −0.0185362 | + | 0.105124i | ||||
\(561\) | 33550.4 | 2.52496 | ||||||||
\(562\) | −2284.41 | + | 12955.6i | −0.171463 | + | 0.972415i | ||||
\(563\) | 6157.09 | + | 10664.4i | 0.460906 | + | 0.798313i | 0.999006 | − | 0.0445677i | \(-0.0141910\pi\) |
−0.538100 | + | 0.842881i | \(0.680858\pi\) | |||||||
\(564\) | −12987.9 | + | 10898.1i | −0.969659 | + | 0.813640i | ||||
\(565\) | 760.175 | − | 1316.66i | 0.0566032 | − | 0.0980396i | ||||
\(566\) | 1948.65 | + | 3375.17i | 0.144714 | + | 0.250652i | ||||
\(567\) | −3845.64 | − | 1399.70i | −0.284835 | − | 0.103672i | ||||
\(568\) | −6095.61 | − | 5114.83i | −0.450293 | − | 0.377840i | ||||
\(569\) | 2372.55 | − | 4109.37i | 0.174802 | − | 0.302766i | −0.765291 | − | 0.643685i | \(-0.777405\pi\) |
0.940093 | + | 0.340919i | \(0.110738\pi\) | |||||||
\(570\) | 1033.03 | + | 5858.59i | 0.0759101 | + | 0.430508i | ||||
\(571\) | −3100.31 | − | 17582.7i | −0.227222 | − | 1.28864i | −0.858391 | − | 0.512996i | \(-0.828536\pi\) |
0.631169 | − | 0.775645i | \(-0.282575\pi\) | |||||||
\(572\) | 8528.21 | − | 7156.02i | 0.623396 | − | 0.523091i | ||||
\(573\) | −5137.68 | + | 1869.96i | −0.374572 | + | 0.136333i | ||||
\(574\) | 456.528 | − | 166.162i | 0.0331970 | − | 0.0120827i | ||||
\(575\) | 10475.4 | − | 8789.91i | 0.759747 | − | 0.637503i | ||||
\(576\) | 308.593 | + | 1750.12i | 0.0223230 | + | 0.126600i | ||||
\(577\) | 1031.54 | + | 5850.17i | 0.0744258 | + | 0.422090i | 0.999141 | + | 0.0414309i | \(0.0131916\pi\) |
−0.924716 | + | 0.380659i | \(0.875697\pi\) | |||||||
\(578\) | −9207.03 | + | 15947.0i | −0.662564 | + | 1.14759i | ||||
\(579\) | −5348.66 | − | 4488.06i | −0.383908 | − | 0.322137i | ||||
\(580\) | 10705.6 | + | 3896.51i | 0.766421 | + | 0.278954i | ||||
\(581\) | 1517.76 | + | 2628.84i | 0.108377 | + | 0.187715i | ||||
\(582\) | 3846.74 | − | 6662.75i | 0.273973 | − | 0.474536i | ||||
\(583\) | 8466.43 | − | 7104.18i | 0.601447 | − | 0.504674i | ||||
\(584\) | 3883.05 | + | 6725.64i | 0.275140 | + | 0.476557i | ||||
\(585\) | −5377.80 | + | 30499.0i | −0.380076 | + | 2.15552i | ||||
\(586\) | −11161.9 | −0.786850 | ||||||||
\(587\) | −3198.29 | + | 18138.4i | −0.224885 | + | 1.27539i | 0.638019 | + | 0.770021i | \(0.279754\pi\) |
−0.862904 | + | 0.505367i | \(0.831357\pi\) | |||||||
\(588\) | 7019.70 | + | 5890.23i | 0.492326 | + | 0.413110i | ||||
\(589\) | 1884.42 | − | 685.871i | 0.131827 | − | 0.0479810i | ||||
\(590\) | −8155.79 | − | 2968.47i | −0.569099 | − | 0.207135i | ||||
\(591\) | −13806.5 | −0.960956 | ||||||||
\(592\) | −3410.55 | − | 1155.57i | −0.236778 | − | 0.0802258i | ||||
\(593\) | 10551.1 | 0.730659 | 0.365330 | − | 0.930878i | \(-0.380956\pi\) | ||||
0.365330 | + | 0.930878i | \(0.380956\pi\) | |||||||
\(594\) | −407.252 | − | 148.227i | −0.0281309 | − | 0.0102388i | ||||
\(595\) | 9872.26 | − | 3593.21i | 0.680207 | − | 0.247575i | ||||
\(596\) | −8762.67 | − | 7352.75i | −0.602237 | − | 0.505337i | ||||
\(597\) | 1623.18 | − | 9205.52i | 0.111277 | − | 0.631083i | ||||
\(598\) | −18346.6 | −1.25460 | ||||||||
\(599\) | 4570.25 | − | 25919.2i | 0.311745 | − | 1.76800i | −0.278171 | − | 0.960531i | \(-0.589728\pi\) |
0.589917 | − | 0.807464i | \(-0.299161\pi\) | |||||||
\(600\) | 3219.12 | + | 5575.68i | 0.219033 | + | 0.379377i | ||||
\(601\) | 19667.2 | − | 16502.7i | 1.33484 | − | 1.12007i | 0.351923 | − | 0.936029i | \(-0.385528\pi\) |
0.982919 | − | 0.184037i | \(-0.0589166\pi\) | |||||||
\(602\) | 481.003 | − | 833.122i | 0.0325652 | − | 0.0564045i | ||||
\(603\) | −3864.69 | − | 6693.85i | −0.260999 | − | 0.452064i | ||||
\(604\) | −8804.24 | − | 3204.48i | −0.593112 | − | 0.215875i | ||||
\(605\) | 1459.15 | + | 1224.37i | 0.0980541 | + | 0.0822772i | ||||
\(606\) | −9900.49 | + | 17148.2i | −0.663663 | + | 1.14950i | ||||
\(607\) | 3112.31 | + | 17650.8i | 0.208113 | + | 1.18027i | 0.892465 | + | 0.451116i | \(0.148974\pi\) |
−0.684352 | + | 0.729152i | \(0.739915\pi\) | |||||||
\(608\) | −146.082 | − | 828.475i | −0.00974412 | − | 0.0552616i | ||||
\(609\) | −6107.26 | + | 5124.60i | −0.406369 | + | 0.340984i | ||||
\(610\) | 11719.8 | − | 4265.66i | 0.777903 | − | 0.283134i | ||||
\(611\) | 39262.1 | − | 14290.2i | 2.59963 | − | 0.946187i | ||||
\(612\) | 10110.4 | − | 8483.63i | 0.667792 | − | 0.560344i | ||||
\(613\) | −1223.38 | − | 6938.12i | −0.0806065 | − | 0.457142i | −0.998218 | − | 0.0596648i | \(-0.980997\pi\) |
0.917612 | − | 0.397477i | \(-0.130114\pi\) | |||||||
\(614\) | −1100.53 | − | 6241.42i | −0.0723351 | − | 0.410233i | ||||
\(615\) | 2376.38 | − | 4116.00i | 0.155813 | − | 0.269875i | ||||
\(616\) | 1352.08 | + | 1134.53i | 0.0884367 | + | 0.0742072i | ||||
\(617\) | 1218.75 | + | 443.590i | 0.0795221 | + | 0.0289437i | 0.381475 | − | 0.924379i | \(-0.375416\pi\) |
−0.301953 | + | 0.953323i | \(0.597638\pi\) | |||||||
\(618\) | 3083.65 | + | 5341.04i | 0.200716 | + | 0.347651i | ||||
\(619\) | 10844.0 | − | 18782.3i | 0.704129 | − | 1.21959i | −0.262876 | − | 0.964830i | \(-0.584671\pi\) |
0.967005 | − | 0.254758i | \(-0.0819957\pi\) | |||||||
\(620\) | 3573.55 | − | 2998.56i | 0.231479 | − | 0.194234i | ||||
\(621\) | 357.108 | + | 618.529i | 0.0230761 | + | 0.0399689i | ||||
\(622\) | 577.678 | − | 3276.17i | 0.0372392 | − | 0.211194i | ||||
\(623\) | −3949.23 | −0.253969 | ||||||||
\(624\) | 1499.95 | − | 8506.64i | 0.0962276 | − | 0.545734i | ||||
\(625\) | −13323.4 | − | 11179.7i | −0.852700 | − | 0.715500i | ||||
\(626\) | −3058.59 | + | 1113.24i | −0.195281 | + | 0.0710765i | ||||
\(627\) | 6975.00 | + | 2538.69i | 0.444266 | + | 0.161699i | ||||
\(628\) | 1656.78 | 0.105275 | ||||||||
\(629\) | 5232.27 | + | 26226.8i | 0.331676 | + | 1.66253i | ||||
\(630\) | −4909.98 | −0.310505 | ||||||||
\(631\) | 20948.7 | + | 7624.69i | 1.32164 | + | 0.481037i | 0.903983 | − | 0.427569i | \(-0.140630\pi\) |
0.417655 | + | 0.908606i | \(0.362852\pi\) | |||||||
\(632\) | 3503.56 | − | 1275.19i | 0.220513 | − | 0.0802602i | ||||
\(633\) | 4531.04 | + | 3801.99i | 0.284507 | + | 0.238729i | ||||
\(634\) | −30.4667 | + | 172.785i | −0.00190850 | + | 0.0108236i | ||||
\(635\) | −29197.5 | −1.82467 | ||||||||
\(636\) | 1489.08 | − | 8445.01i | 0.0928395 | − | 0.526519i | ||||
\(637\) | −11291.2 | − | 19556.9i | −0.702311 | − | 1.21644i | ||||
\(638\) | 10889.2 | − | 9137.08i | 0.675714 | − | 0.566991i | ||||
\(639\) | 13809.6 | − | 23918.9i | 0.854926 | − | 1.48078i | ||||
\(640\) | −978.481 | − | 1694.78i | −0.0604342 | − | 0.104675i | ||||
\(641\) | 63.9273 | + | 23.2676i | 0.00393912 | + | 0.00143372i | 0.343989 | − | 0.938974i | \(-0.388222\pi\) |
−0.340050 | + | 0.940407i | \(0.610444\pi\) | |||||||
\(642\) | 4997.56 | + | 4193.45i | 0.307224 | + | 0.257792i | ||||
\(643\) | 1144.04 | − | 1981.54i | 0.0701657 | − | 0.121531i | −0.828808 | − | 0.559533i | \(-0.810981\pi\) |
0.898974 | + | 0.438002i | \(0.144314\pi\) | |||||||
\(644\) | −505.094 | − | 2864.53i | −0.0309060 | − | 0.175277i | ||||
\(645\) | −1634.23 | − | 9268.15i | −0.0997636 | − | 0.565788i | ||||
\(646\) | −4786.08 | + | 4015.99i | −0.291495 | + | 0.244593i | ||||
\(647\) | −1132.87 | + | 412.332i | −0.0688375 | + | 0.0250548i | −0.376209 | − | 0.926535i | \(-0.622773\pi\) |
0.307372 | + | 0.951589i | \(0.400550\pi\) | |||||||
\(648\) | 5320.08 | − | 1936.35i | 0.322519 | − | 0.117387i | ||||
\(649\) | −8295.66 | + | 6960.88i | −0.501746 | + | 0.421015i | ||||
\(650\) | −2755.12 | − | 15625.1i | −0.166253 | − | 0.942870i | ||||
\(651\) | 566.872 | + | 3214.89i | 0.0341282 | + | 0.193551i | ||||
\(652\) | 4833.97 | − | 8372.69i | 0.290357 | − | 0.502914i | ||||
\(653\) | 1248.39 | + | 1047.52i | 0.0748135 | + | 0.0627760i | 0.679428 | − | 0.733743i | \(-0.262228\pi\) |
−0.604614 | + | 0.796519i | \(0.706673\pi\) | |||||||
\(654\) | 24074.4 | + | 8762.38i | 1.43943 | + | 0.523908i | ||||
\(655\) | −18597.9 | − | 32212.4i | −1.10943 | − | 1.92159i | ||||
\(656\) | −336.048 | + | 582.052i | −0.0200007 | + | 0.0346422i | ||||
\(657\) | −20649.2 | + | 17326.7i | −1.22618 | + | 1.02889i | ||||
\(658\) | 3312.09 | + | 5736.71i | 0.196229 | + | 0.339879i | ||||
\(659\) | 156.988 | − | 890.320i | 0.00927977 | − | 0.0526282i | −0.979816 | − | 0.199900i | \(-0.935938\pi\) |
0.989096 | + | 0.147272i | \(0.0470493\pi\) | |||||||
\(660\) | 17266.8 | 1.01835 | ||||||||
\(661\) | 3367.76 | − | 19099.5i | 0.198170 | − | 1.12388i | −0.709661 | − | 0.704543i | \(-0.751152\pi\) |
0.907831 | − | 0.419336i | \(-0.137737\pi\) | |||||||
\(662\) | 3620.86 | + | 3038.26i | 0.212581 | + | 0.178377i | ||||
\(663\) | −60282.3 | + | 21941.0i | −3.53118 | + | 1.28524i | ||||
\(664\) | −3946.11 | − | 1436.26i | −0.230630 | − | 0.0839426i | ||||
\(665\) | 2324.29 | 0.135537 | ||||||||
\(666\) | 1894.37 | − | 12354.4i | 0.110218 | − | 0.718805i | ||||
\(667\) | −23425.7 | −1.35989 | ||||||||
\(668\) | −10406.5 | − | 3787.67i | −0.602756 | − | 0.219385i | ||||
\(669\) | 5901.21 | − | 2147.86i | 0.341037 | − | 0.124127i | ||||
\(670\) | 6520.26 | + | 5471.15i | 0.375970 | + | 0.315476i | ||||
\(671\) | 2702.22 | − | 15325.1i | 0.155467 | − | 0.881695i | ||||
\(672\) | 1369.47 | 0.0786136 | ||||||||
\(673\) | 3895.85 | − | 22094.5i | 0.223141 | − | 1.26550i | −0.643065 | − | 0.765811i | \(-0.722338\pi\) |
0.866207 | − | 0.499686i | \(-0.166551\pi\) | |||||||
\(674\) | −745.486 | − | 1291.22i | −0.0426039 | − | 0.0737921i | ||||
\(675\) | −473.149 | + | 397.019i | −0.0269800 | + | 0.0226389i | ||||
\(676\) | −6249.39 | + | 10824.3i | −0.355564 | + | 0.615855i | ||||
\(677\) | 6276.31 | + | 10870.9i | 0.356305 | + | 0.617138i | 0.987340 | − | 0.158616i | \(-0.0507032\pi\) |
−0.631036 | + | 0.775754i | \(0.717370\pi\) | |||||||
\(678\) | −1383.08 | − | 503.401i | −0.0783436 | − | 0.0285147i | ||||
\(679\) | −2302.64 | − | 1932.14i | −0.130143 | − | 0.109203i | ||||
\(680\) | −7266.92 | + | 12586.7i | −0.409814 | + | 0.709819i | ||||
\(681\) | −7962.93 | − | 45160.0i | −0.448077 | − | 2.54117i | ||||
\(682\) | −1010.72 | − | 5732.10i | −0.0567487 | − | 0.321838i | ||||
\(683\) | −19183.6 | + | 16096.9i | −1.07473 | + | 0.901803i | −0.995472 | − | 0.0950514i | \(-0.969698\pi\) |
−0.0792546 | + | 0.996854i | \(0.525254\pi\) | |||||||
\(684\) | 2743.85 | − | 998.679i | 0.153383 | − | 0.0558267i | ||||
\(685\) | −2567.45 | + | 934.476i | −0.143208 | + | 0.0521233i | ||||
\(686\) | 5781.55 | − | 4851.29i | 0.321779 | − | 0.270005i | ||||
\(687\) | 8034.90 | + | 45568.2i | 0.446216 | + | 2.53062i | ||||
\(688\) | 231.099 | + | 1310.63i | 0.0128061 | + | 0.0726267i | ||||
\(689\) | −10566.3 | + | 18301.3i | −0.584243 | + | 1.01194i | ||||
\(690\) | −21798.1 | − | 18290.8i | −1.20267 | − | 1.00916i | ||||
\(691\) | −9158.70 | − | 3333.49i | −0.504216 | − | 0.183520i | 0.0773733 | − | 0.997002i | \(-0.475347\pi\) |
−0.581589 | + | 0.813483i | \(0.697569\pi\) | |||||||
\(692\) | 6961.66 | + | 12058.0i | 0.382432 | + | 0.662391i | ||||
\(693\) | −3063.13 | + | 5305.50i | −0.167906 | + | 0.290822i | ||||
\(694\) | 3489.52 | − | 2928.05i | 0.190865 | − | 0.160155i | ||||
\(695\) | 17693.0 | + | 30645.2i | 0.965662 | + | 1.67258i | ||||
\(696\) | 1915.19 | − | 10861.6i | 0.104303 | − | 0.591534i | ||||
\(697\) | 4991.47 | 0.271256 | ||||||||
\(698\) | 3135.83 | − | 17784.2i | 0.170047 | − | 0.964385i | ||||
\(699\) | 36555.4 | + | 30673.6i | 1.97804 | + | 1.65978i | ||||
\(700\) | 2363.75 | − | 860.335i | 0.127631 | − | 0.0464537i | ||||
\(701\) | −23296.2 | − | 8479.13i | −1.25519 | − | 0.456851i | −0.373036 | − | 0.927817i | \(-0.621683\pi\) |
−0.882151 | + | 0.470966i | \(0.843905\pi\) | |||||||
\(702\) | 828.673 | 0.0445530 | ||||||||
\(703\) | −896.759 | + | 5848.36i | −0.0481108 | + | 0.313762i | ||||
\(704\) | −2441.74 | −0.130719 | ||||||||
\(705\) | 60895.0 | + | 22164.0i | 3.25311 | + | 1.18403i | ||||
\(706\) | 10997.6 | − | 4002.78i | 0.586258 | − | 0.213381i | ||||
\(707\) | 5926.38 | + | 4972.83i | 0.315254 | + | 0.264529i | ||||
\(708\) | −1459.05 | + | 8274.67i | −0.0774496 | + | 0.439239i | ||||
\(709\) | 14567.1 | 0.771621 | 0.385811 | − | 0.922578i | \(-0.373922\pi\) | ||||
0.385811 | + | 0.922578i | \(0.373922\pi\) | |||||||
\(710\) | −5281.36 | + | 29952.1i | −0.279164 | + | 1.58321i | ||||
\(711\) | 6470.54 | + | 11207.3i | 0.341300 | + | 0.591149i | ||||
\(712\) | 4185.20 | − | 3511.80i | 0.220291 | − | 0.184846i | ||||
\(713\) | −4796.06 | + | 8307.02i | −0.251913 | + | 0.436326i | ||||
\(714\) | −5085.33 | − | 8808.06i | −0.266546 | − | 0.461671i | ||||
\(715\) | −39985.5 | − | 14553.5i | −2.09143 | − | 0.761219i | ||||
\(716\) | −9509.20 | − | 7979.17i | −0.496334 | − | 0.416474i | ||||
\(717\) | 9177.91 | − | 15896.6i | 0.478041 | − | 0.827991i | ||||
\(718\) | −3024.46 | − | 17152.6i | −0.157203 | − | 0.891543i | ||||
\(719\) | 866.250 | + | 4912.75i | 0.0449314 | + | 0.254819i | 0.998997 | − | 0.0447795i | \(-0.0142585\pi\) |
−0.954065 | + | 0.299598i | \(0.903147\pi\) | |||||||
\(720\) | 5203.35 | − | 4366.13i | 0.269330 | − | 0.225994i | ||||
\(721\) | 2264.28 | − | 824.130i | 0.116957 | − | 0.0425690i | ||||
\(722\) | 11591.8 | − | 4219.08i | 0.597511 | − | 0.217476i | ||||
\(723\) | −17611.9 | + | 14778.1i | −0.905939 | + | 0.760173i | ||||
\(724\) | 118.624 | + | 672.752i | 0.00608928 | + | 0.0345340i | ||||
\(725\) | −3517.85 | − | 19950.7i | −0.180206 | − | 1.02200i | ||||
\(726\) | 922.006 | − | 1596.96i | 0.0471334 | − | 0.0816374i | ||||
\(727\) | 20287.2 | + | 17023.0i | 1.03495 | + | 0.868428i | 0.991432 | − | 0.130625i | \(-0.0416983\pi\) |
0.0435200 | + | 0.999053i | \(0.486143\pi\) | |||||||
\(728\) | −3171.33 | − | 1154.27i | −0.161452 | − | 0.0587638i | ||||
\(729\) | 10392.8 | + | 18000.9i | 0.528010 | + | 0.914540i | ||||
\(730\) | 14841.8 | − | 25706.7i | 0.752491 | − | 1.30335i | ||||
\(731\) | 7571.46 | − | 6353.21i | 0.383092 | − | 0.321453i | ||||
\(732\) | −6037.03 | − | 10456.4i | −0.304829 | − | 0.527980i | ||||
\(733\) | 1908.19 | − | 10821.9i | 0.0961537 | − | 0.545315i | −0.898234 | − | 0.439517i | \(-0.855149\pi\) |
0.994388 | − | 0.105797i | \(-0.0337394\pi\) | |||||||
\(734\) | 7547.83 | 0.379558 | ||||||||
\(735\) | 6082.02 | − | 34492.8i | 0.305222 | − | 1.73100i | ||||
\(736\) | 3082.52 | + | 2586.54i | 0.154379 | + | 0.129539i | ||||
\(737\) | 9979.61 | − | 3632.28i | 0.498784 | − | 0.181542i | ||||
\(738\) | −2192.11 | − | 797.864i | −0.109340 | − | 0.0397965i | ||||
\(739\) | −28513.4 | −1.41932 | −0.709662 | − | 0.704542i | \(-0.751153\pi\) | ||||
−0.709662 | + | 0.704542i | \(0.751153\pi\) | |||||||
\(740\) | 2692.81 | + | 13497.7i | 0.133770 | + | 0.670521i | ||||
\(741\) | −14192.7 | −0.703618 | ||||||||
\(742\) | −3148.35 | − | 1145.91i | −0.155768 | − | 0.0566948i | ||||
\(743\) | −2424.95 | + | 882.609i | −0.119734 | + | 0.0435798i | −0.401193 | − | 0.915994i | \(-0.631404\pi\) |
0.281458 | + | 0.959574i | \(0.409182\pi\) | |||||||
\(744\) | −3459.54 | − | 2902.90i | −0.170474 | − | 0.143045i | ||||
\(745\) | −7592.16 | + | 43057.3i | −0.373363 | + | 2.11745i | ||||
\(746\) | 4128.21 | 0.202607 | ||||||||
\(747\) | 2531.04 | − | 14354.3i | 0.123971 | − | 0.703072i | ||||
\(748\) | 9067.07 | + | 15704.6i | 0.443215 | + | 0.767671i | ||||
\(749\) | 1952.57 | − | 1638.40i | 0.0952542 | − | 0.0799278i | ||||
\(750\) | −1838.99 | + | 3185.22i | −0.0895339 | + | 0.155077i | ||||
\(751\) | −3723.78 | − | 6449.78i | −0.180936 | − | 0.313390i | 0.761264 | − | 0.648442i | \(-0.224579\pi\) |
−0.942199 | + | 0.335053i | \(0.891246\pi\) | |||||||
\(752\) | −8611.28 | − | 3134.25i | −0.417581 | − | 0.151987i | ||||
\(753\) | 33842.4 | + | 28397.2i | 1.63783 | + | 1.37430i | ||||
\(754\) | −13589.9 | + | 23538.4i | −0.656386 | + | 1.13689i | ||||
\(755\) | 6218.55 | + | 35267.1i | 0.299757 | + | 1.70000i | ||||
\(756\) | 22.8138 | + | 129.384i | 0.00109753 | + | 0.00622439i | ||||
\(757\) | 9980.77 | − | 8374.86i | 0.479204 | − | 0.402100i | −0.370935 | − | 0.928659i | \(-0.620963\pi\) |
0.850138 | + | 0.526559i | \(0.176518\pi\) | |||||||
\(758\) | 10107.7 | − | 3678.91i | 0.484339 | − | 0.176285i | ||||
\(759\) | −33363.2 | + | 12143.2i | −1.59553 | + | 0.580725i | ||||
\(760\) | −2463.17 | + | 2066.84i | −0.117564 | + | 0.0986478i | ||||
\(761\) | −2182.22 | − | 12376.0i | −0.103949 | − | 0.589526i | −0.991635 | − | 0.129076i | \(-0.958799\pi\) |
0.887685 | − | 0.460451i | \(-0.152312\pi\) | |||||||
\(762\) | 4908.34 | + | 27836.6i | 0.233347 | + | 1.32338i | ||||
\(763\) | 5004.83 | − | 8668.62i | 0.237467 | − | 0.411304i | ||||
\(764\) | −2263.78 | − | 1899.53i | −0.107200 | − | 0.0899512i | ||||
\(765\) | −47403.8 | − | 17253.6i | −2.24037 | − | 0.815430i | ||||
\(766\) | 12550.7 | + | 21738.4i | 0.592004 | + | 1.02538i | ||||
\(767\) | 10353.2 | − | 17932.2i | 0.487393 | − | 0.844190i | ||||
\(768\) | −1451.29 | + | 1217.78i | −0.0681889 | + | 0.0572173i | ||||
\(769\) | −5495.94 | − | 9519.25i | −0.257723 | − | 0.446389i | 0.707909 | − | 0.706304i | \(-0.249639\pi\) |
−0.965631 | + | 0.259915i | \(0.916305\pi\) | |||||||
\(770\) | 1171.47 | − | 6643.75i | 0.0548272 | − | 0.310941i | ||||
\(771\) | −18230.3 | −0.851556 | ||||||||
\(772\) | 655.330 | − | 3716.56i | 0.0305516 | − | 0.173267i | ||||
\(773\) | 25283.6 | + | 21215.5i | 1.17644 | + | 0.987150i | 0.999996 | + | 0.00283934i | \(0.000903791\pi\) |
0.176444 | + | 0.984311i | \(0.443541\pi\) | |||||||
\(774\) | −4340.70 | + | 1579.89i | −0.201580 | + | 0.0733693i | ||||
\(775\) | −7794.97 | − | 2837.14i | −0.361295 | − | 0.131501i | ||||
\(776\) | 4158.35 | 0.192366 | ||||||||
\(777\) | −9122.33 | − | 3090.85i | −0.421186 | − | 0.142708i | ||||
\(778\) | −4680.47 | −0.215685 | ||||||||
\(779\) | 1037.71 | + | 377.694i | 0.0477275 | + | 0.0173714i | ||||
\(780\) | −31024.5 | + | 11292.0i | −1.42417 | + | 0.518357i | ||||
\(781\) | 29070.1 | + | 24392.7i | 1.33189 | + | 1.11759i | ||||
\(782\) | 5189.43 | − | 29430.7i | 0.237306 | − | 1.34583i | ||||
\(783\) | 1058.08 | 0.0482921 | ||||||||
\(784\) | −860.069 | + | 4877.70i | −0.0391795 | + | 0.222198i | ||||
\(785\) | −3166.26 | − | 5484.12i | −0.143960 | − | 0.249346i | ||||
\(786\) | −27584.5 | + | 23146.2i | −1.25179 | + | 1.05038i | ||||
\(787\) | −685.955 | + | 1188.11i | −0.0310695 | + | 0.0538139i | −0.881142 | − | 0.472852i | \(-0.843225\pi\) |
0.850073 | + | 0.526666i | \(0.176558\pi\) | |||||||
\(788\) | −3731.24 | − | 6462.70i | −0.168680 | − | 0.292163i | ||||
\(789\) | −18400.4 | − | 6697.20i | −0.830256 | − | 0.302188i | ||||
\(790\) | −10916.7 | − | 9160.19i | −0.491643 | − | 0.412538i | ||||
\(791\) | −287.529 | + | 498.014i | −0.0129246 | + | 0.0223860i | ||||
\(792\) | −1471.69 | − | 8346.36i | −0.0660280 | − | 0.374463i | ||||
\(793\) | 5166.86 | + | 29302.7i | 0.231375 | + | 1.31220i | ||||
\(794\) | −9028.48 | + | 7575.80i | −0.403538 | + | 0.338608i | ||||
\(795\) | −30799.7 | + | 11210.2i | −1.37403 | + | 0.500106i | ||||
\(796\) | 4747.68 | − | 1728.01i | 0.211403 | − | 0.0769445i | ||||
\(797\) | 10920.6 | − | 9163.50i | 0.485356 | − | 0.407262i | −0.367002 | − | 0.930220i | \(-0.619616\pi\) |
0.852359 | + | 0.522958i | \(0.175171\pi\) | |||||||
\(798\) | −390.733 | − | 2215.95i | −0.0173331 | − | 0.0983007i | ||||
\(799\) | 11818.2 | + | 67024.2i | 0.523275 | + | 2.96764i | ||||
\(800\) | −1739.95 | + | 3013.67i | −0.0768954 | + | 0.133187i | ||||
\(801\) | 14526.5 | + | 12189.2i | 0.640787 | + | 0.537684i | ||||
\(802\) | 13704.3 | + | 4987.97i | 0.603388 | + | 0.219615i | ||||
\(803\) | −18518.3 | − | 32074.7i | −0.813821 | − | 1.40958i | ||||
\(804\) | 4120.03 | − | 7136.10i | 0.180724 | − | 0.313023i | ||||
\(805\) | −8516.64 | + | 7146.31i | −0.372885 | + | 0.312887i | ||||
\(806\) | 5564.66 | + | 9638.27i | 0.243184 | + | 0.421208i | ||||
\(807\) | 7066.58 | − | 40076.6i | 0.308247 | − | 1.74816i | ||||
\(808\) | −10702.5 | −0.465981 | ||||||||
\(809\) | 4106.67 | − | 23290.1i | 0.178471 | − | 1.01216i | −0.755591 | − | 0.655044i | \(-0.772650\pi\) |
0.934061 | − | 0.357113i | \(-0.116239\pi\) | |||||||
\(810\) | −16576.7 | − | 13909.5i | −0.719071 | − | 0.603372i | ||||
\(811\) | −158.800 | + | 57.7986i | −0.00687575 | + | 0.00250257i | −0.345456 | − | 0.938435i | \(-0.612276\pi\) |
0.338580 | + | 0.940938i | \(0.390053\pi\) | |||||||
\(812\) | −4049.27 | − | 1473.82i | −0.175002 | − | 0.0636955i | ||||
\(813\) | 28562.6 | 1.23214 | ||||||||
\(814\) | 16265.0 | + | 5510.94i | 0.700352 | + | 0.237295i | ||||
\(815\) | −36952.8 | −1.58822 | ||||||||
\(816\) | 13221.6 | + | 4812.28i | 0.567218 | + | 0.206450i | ||||
\(817\) | 2054.81 | − | 747.889i | 0.0879910 | − | 0.0320261i | ||||
\(818\) | 3190.27 | + | 2676.95i | 0.136363 | + | 0.114422i | ||||
\(819\) | 2034.10 | − | 11535.9i | 0.0867853 | − | 0.492184i | ||||
\(820\) | 2568.88 | 0.109401 | ||||||||
\(821\) | −954.314 | + | 5412.19i | −0.0405674 | + | 0.230069i | −0.998350 | − | 0.0574250i | \(-0.981711\pi\) |
0.957782 | + | 0.287494i | \(0.0928221\pi\) | |||||||
\(822\) | 1322.53 | + | 2290.69i | 0.0561174 | + | 0.0971982i | ||||
\(823\) | −14763.5 | + | 12388.0i | −0.625301 | + | 0.524690i | −0.899465 | − | 0.436993i | \(-0.856043\pi\) |
0.274164 | + | 0.961683i | \(0.411599\pi\) | |||||||
\(824\) | −1666.72 | + | 2886.85i | −0.0704649 | + | 0.122049i | ||||
\(825\) | −15352.0 | − | 26590.5i | −0.647866 | − | 1.12214i | ||||
\(826\) | 3084.85 | + | 1122.79i | 0.129946 | + | 0.0472966i | ||||
\(827\) | 28441.9 | + | 23865.6i | 1.19591 | + | 1.00349i | 0.999737 | + | 0.0229226i | \(0.00729714\pi\) |
0.196177 | + | 0.980569i | \(0.437147\pi\) | |||||||
\(828\) | −6983.41 | + | 12095.6i | −0.293104 | + | 0.507672i | ||||
\(829\) | 2213.59 | + | 12553.9i | 0.0927397 | + | 0.525953i | 0.995417 | + | 0.0956339i | \(0.0304878\pi\) |
−0.902677 | + | 0.430319i | \(0.858401\pi\) | |||||||
\(830\) | 2787.18 | + | 15806.9i | 0.116560 | + | 0.661043i | ||||
\(831\) | 43552.8 | − | 36545.1i | 1.81809 | − | 1.52555i | ||||
\(832\) | 4387.23 | − | 1596.82i | 0.182812 | − | 0.0665383i | ||||
\(833\) | 34565.8 | − | 12580.9i | 1.43774 | − | 0.523293i | ||||
\(834\) | 26242.5 | − | 22020.1i | 1.08957 | − | 0.914259i | ||||
\(835\) | 7350.27 | + | 41685.5i | 0.304631 | + | 1.72765i | ||||
\(836\) | 696.670 | + | 3951.01i | 0.0288216 | + | 0.163455i | ||||
\(837\) | 216.626 | − | 375.208i | 0.00894588 | − | 0.0154947i | ||||
\(838\) | −10169.2 | − | 8533.00i | −0.419201 | − | 0.351751i | ||||
\(839\) | −19687.6 | − | 7165.69i | −0.810120 | − | 0.294860i | −0.0964467 | − | 0.995338i | \(-0.530748\pi\) |
−0.713673 | + | 0.700479i | \(0.752970\pi\) | |||||||
\(840\) | −2617.18 | − | 4533.10i | −0.107502 | − | 0.186198i | ||||
\(841\) | −5157.60 | + | 8933.22i | −0.211472 | + | 0.366281i | ||||
\(842\) | 1351.06 | − | 1133.67i | 0.0552974 | − | 0.0464001i | ||||
\(843\) | −24339.2 | − | 42156.7i | −0.994408 | − | 1.72237i | ||||
\(844\) | −555.153 | + | 3148.43i | −0.0226412 | + | 0.128405i | ||||
\(845\) | 47772.8 | 1.94489 | ||||||||
\(846\) | 5523.30 | − | 31324.2i | 0.224462 | − | 1.27299i | ||||
\(847\) | −551.908 | − | 463.106i | −0.0223894 | − | 0.0187869i | ||||
\(848\) | 4355.45 | − | 1585.25i | 0.176376 | − | 0.0641956i | ||||
\(849\) | −13551.3 | − | 4932.28i | −0.547798 | − | 0.199382i | ||||
\(850\) | 25844.2 | 1.04288 | ||||||||
\(851\) | −14695.6 | − | 24186.7i | −0.591960 | − | 0.974275i | ||||
\(852\) | 29443.9 | 1.18396 | ||||||||
\(853\) | −27297.9 | − | 9935.61i | −1.09573 | − | 0.398815i | −0.269992 | − | 0.962863i | \(-0.587021\pi\) |
−0.825742 | + | 0.564048i | \(0.809243\pi\) | |||||||
\(854\) | −4432.90 | + | 1613.44i | −0.177624 | + | 0.0646498i | ||||
\(855\) | −8549.50 | − | 7173.88i | −0.341973 | − | 0.286949i | ||||
\(856\) | −612.312 | + | 3472.60i | −0.0244491 | + | 0.138658i | ||||
\(857\) | −31631.2 | −1.26080 | −0.630398 | − | 0.776272i | \(-0.717108\pi\) | ||||
−0.630398 | + | 0.776272i | \(0.717108\pi\) | |||||||
\(858\) | −7153.29 | + | 40568.3i | −0.284626 | + | 1.61420i | ||||
\(859\) | 3850.19 | + | 6668.72i | 0.152930 | + | 0.264882i | 0.932303 | − | 0.361677i | \(-0.117796\pi\) |
−0.779373 | + | 0.626560i | \(0.784462\pi\) | |||||||
\(860\) | 3896.68 | − | 3269.70i | 0.154506 | − | 0.129646i | ||||
\(861\) | −898.841 | + | 1556.84i | −0.0355777 | + | 0.0616224i | ||||
\(862\) | −7529.74 | − | 13041.9i | −0.297522 | − | 0.515323i | ||||
\(863\) | 26844.2 | + | 9770.50i | 1.05885 | + | 0.385390i | 0.811997 | − | 0.583662i | \(-0.198381\pi\) |
0.246855 | + | 0.969053i | \(0.420603\pi\) | |||||||
\(864\) | −139.230 | − | 116.828i | −0.00548228 | − | 0.00460018i | ||||
\(865\) | 26608.8 | − | 46087.8i | 1.04593 | − | 1.81160i | ||||
\(866\) | 949.563 | + | 5385.24i | 0.0372604 | + | 0.211314i | ||||
\(867\) | −11831.8 | − | 67101.5i | −0.463471 | − | 2.62847i | ||||
\(868\) | −1351.66 | + | 1134.18i | −0.0528552 | + | 0.0443508i | ||||
\(869\) | −16708.6 | + | 6081.42i | −0.652243 | + | 0.237397i | ||||
\(870\) | −39613.3 | + | 14418.1i | −1.54370 | + | 0.561860i | ||||
\(871\) | −15555.6 | + | 13052.7i | −0.605146 | + | 0.507778i | ||||
\(872\) | 2404.58 | + | 13637.0i | 0.0933823 | + | 0.529597i | ||||
\(873\) | 2506.33 | + | 14214.1i | 0.0971666 | + | 0.551059i | ||||
\(874\) | 3305.82 | − | 5725.85i | 0.127942 | − | 0.221601i | ||||
\(875\) | 1100.81 | + | 923.689i | 0.0425305 | + | 0.0356873i | ||||
\(876\) | −27003.5 | − | 9828.48i | −1.04151 | − | 0.379079i | ||||
\(877\) | −6978.05 | − | 12086.3i | −0.268680 | − | 0.465367i | 0.699841 | − | 0.714298i | \(-0.253254\pi\) |
−0.968521 | + | 0.248931i | \(0.919921\pi\) | |||||||
\(878\) | 2420.99 | − | 4193.27i | 0.0930573 | − | 0.161180i | ||||
\(879\) | 31639.1 | − | 26548.3i | 1.21406 | − | 1.01872i | ||||
\(880\) | 4666.40 | + | 8082.44i | 0.178755 | + | 0.309612i | ||||
\(881\) | −4704.22 | + | 26679.0i | −0.179897 | + | 1.02025i | 0.752441 | + | 0.658659i | \(0.228876\pi\) |
−0.932338 | + | 0.361587i | \(0.882235\pi\) | |||||||
\(882\) | −17191.3 | −0.656307 | ||||||||
\(883\) | 1415.74 | − | 8029.07i | 0.0539564 | − | 0.306002i | −0.945872 | − | 0.324541i | \(-0.894790\pi\) |
0.999828 | + | 0.0185387i | \(0.00590138\pi\) | |||||||
\(884\) | −26561.8 | − | 22288.0i | −1.01060 | − | 0.847992i | ||||
\(885\) | 30178.5 | − | 10984.1i | 1.14626 | − | 0.417204i | ||||
\(886\) | −22000.4 | − | 8007.49i | −0.834219 | − | 0.303631i | ||||
\(887\) | 5769.35 | 0.218394 | 0.109197 | − | 0.994020i | \(-0.465172\pi\) | ||||
0.109197 | + | 0.994020i | \(0.465172\pi\) | |||||||
\(888\) | 12415.9 | − | 4836.37i | 0.469200 | − | 0.182768i | ||||
\(889\) | 11043.7 | 0.416640 | ||||||||
\(890\) | −19622.8 | − | 7142.11i | −0.739053 | − | 0.268993i | ||||
\(891\) | −25371.6 | + | 9234.50i | −0.953961 | + | 0.347214i | ||||
\(892\) | 2600.21 | + | 2181.83i | 0.0976024 | + | 0.0818981i | ||||
\(893\) | −2614.63 | + | 14828.3i | −0.0979790 | + | 0.555666i | ||||
\(894\) | 42326.7 | 1.58346 | ||||||||
\(895\) | −8238.97 | + | 46725.5i | −0.307708 | + | 1.74510i | ||||
\(896\) | 370.101 | + | 641.034i | 0.0137993 | + | 0.0239012i | ||||
\(897\) | 52004.6 | − | 43637.0i | 1.93577 | − | 1.62430i | ||||
\(898\) | 12788.1 | − | 22149.6i | 0.475215 | − | 0.823096i | ||||
\(899\) | 7105.17 | + | 12306.5i | 0.263593 | + | 0.456557i | ||||
\(900\) | −11350.1 | − | 4131.08i | −0.420372 | − | 0.153003i | ||||
\(901\) | −26369.3 | − | 22126.5i | −0.975016 | − | 0.818135i | ||||
\(902\) | 1602.62 | − | 2775.82i | 0.0591589 | − | 0.102466i | ||||
\(903\) | 618.130 | + | 3505.59i | 0.0227797 | + | 0.129190i | ||||
\(904\) | −138.144 | − | 783.452i | −0.00508251 | − | 0.0288244i | ||||
\(905\) | 2000.18 | − | 1678.35i | 0.0734678 | − | 0.0616468i | ||||
\(906\) | 32577.9 | − | 11857.4i | 1.19462 | − | 0.434808i | ||||
\(907\) | 43337.4 | − | 15773.5i | 1.58654 | − | 0.577454i | 0.609928 | − | 0.792457i | \(-0.291198\pi\) |
0.976613 | + | 0.215003i | \(0.0689760\pi\) | |||||||
\(908\) | 18987.0 | − | 15931.9i | 0.693947 | − | 0.582291i | ||||
\(909\) | −6450.63 | − | 36583.3i | −0.235373 | − | 1.33487i | ||||
\(910\) | 2239.95 | + | 12703.4i | 0.0815974 | + | 0.462762i | ||||
\(911\) | −25826.7 | + | 44733.2i | −0.939273 | + | 1.62687i | −0.172442 | + | 0.985020i | \(0.555166\pi\) |
−0.766831 | + | 0.641849i | \(0.778168\pi\) | |||||||
\(912\) | 2384.59 | + | 2000.91i | 0.0865806 | + | 0.0726498i | ||||
\(913\) | 18819.1 | + | 6849.58i | 0.682168 | + | 0.248289i | ||||
\(914\) | −2214.98 | − | 3836.45i | −0.0801585 | − | 0.138839i | ||||
\(915\) | −23074.7 | + | 39966.5i | −0.833689 | + | 1.44399i | ||||
\(916\) | −19158.6 | + | 16075.9i | −0.691066 | + | 0.579874i | ||||
\(917\) | 7034.46 | + | 12184.0i | 0.253324 | + | 0.438770i | ||||
\(918\) | −234.394 | + | 1329.31i | −0.00842717 | + | 0.0477929i | ||||
\(919\) | 41338.7 | 1.48383 | 0.741914 | − | 0.670495i | \(-0.233918\pi\) | ||||
0.741914 | + | 0.670495i | \(0.233918\pi\) | |||||||
\(920\) | 2670.76 | − | 15146.6i | 0.0957089 | − | 0.542792i | ||||
\(921\) | 17964.6 | + | 15074.1i | 0.642728 | + | 0.539313i | ||||
\(922\) | −11467.9 | + | 4173.96i | −0.409624 | + | 0.149091i | ||||
\(923\) | −68184.3 | − | 24817.0i | −2.43154 | − | 0.885009i | ||||
\(924\) | −6531.02 | −0.232527 | ||||||||
\(925\) | 18391.9 | − | 16147.7i | 0.653755 | − | 0.573983i | ||||
\(926\) | −14991.2 | −0.532012 | ||||||||
\(927\) | −10872.4 | − | 3957.24i | −0.385218 | − | 0.140208i | ||||
\(928\) | 5601.79 | − | 2038.88i | 0.198155 | − | 0.0721225i | ||||
\(929\) | −30439.8 | − | 25542.0i | −1.07502 | − | 0.902052i | −0.0795259 | − | 0.996833i | \(-0.525341\pi\) |
−0.995498 | + | 0.0947805i | \(0.969785\pi\) | |||||||
\(930\) | −2997.42 | + | 16999.2i | −0.105687 | + | 0.599383i | ||||
\(931\) | 8138.06 | 0.286481 | ||||||||
\(932\) | −4478.85 | + | 25400.8i | −0.157414 | + | 0.892738i | ||||
\(933\) | 6154.84 | + | 10660.5i | 0.215971 | + | 0.374072i | ||||
\(934\) | −6031.39 | + | 5060.94i | −0.211299 | + | 0.177301i | ||||
\(935\) | 34656.1 | − | 60026.1i | 1.21217 | − | 2.09953i | ||||
\(936\) | 8102.55 | + | 14034.0i | 0.282949 | + | 0.490082i | ||||
\(937\) | 3858.14 | + | 1404.25i | 0.134514 | + | 0.0489592i | 0.408400 | − | 0.912803i | \(-0.366087\pi\) |
−0.273886 | + | 0.961762i | \(0.588309\pi\) | |||||||
\(938\) | −2466.23 | − | 2069.41i | −0.0858477 | − | 0.0720348i | ||||
\(939\) | 6021.95 | − | 10430.3i | 0.209285 | − | 0.362493i | ||||
\(940\) | 6082.26 | + | 34494.2i | 0.211044 | + | 1.19689i | ||||
\(941\) | 313.614 | + | 1778.59i | 0.0108645 | + | 0.0616158i | 0.989758 | − | 0.142755i | \(-0.0455962\pi\) |
−0.978893 | + | 0.204371i | \(0.934485\pi\) | |||||||
\(942\) | −4696.23 | + | 3940.60i | −0.162432 | + | 0.136297i | ||||
\(943\) | −4963.61 | + | 1806.61i | −0.171408 | + | 0.0623873i | ||||
\(944\) | −4267.60 | + | 1553.28i | −0.147138 | + | 0.0535539i | ||||
\(945\) | 384.676 | − | 322.781i | 0.0132418 | − | 0.0111112i | ||||
\(946\) | −1102.12 | − | 6250.41i | −0.0378783 | − | 0.214818i | ||||
\(947\) | −2822.18 | − | 16005.4i | −0.0968411 | − | 0.549213i | −0.994168 | − | 0.107846i | \(-0.965605\pi\) |
0.897327 | − | 0.441367i | \(-0.145506\pi\) | |||||||
\(948\) | −6898.04 | + | 11947.8i | −0.236327 | + | 0.409330i | ||||
\(949\) | 54249.0 | + | 45520.4i | 1.85564 | + | 1.55706i | ||||
\(950\) | 5372.90 | + | 1955.58i | 0.183495 | + | 0.0667866i | ||||
\(951\) | −324.606 | − | 562.234i | −0.0110684 | − | 0.0191711i | ||||
\(952\) | 2748.64 | − | 4760.79i | 0.0935756 | − | 0.162078i | ||||
\(953\) | −28745.9 | + | 24120.7i | −0.977096 | + | 0.819881i | −0.983649 | − | 0.180098i | \(-0.942359\pi\) |
0.00655297 | + | 0.999979i | \(0.497914\pi\) | |||||||
\(954\) | 8043.84 | + | 13932.3i | 0.272986 | + | 0.472826i | ||||
\(955\) | −1961.38 | + | 11123.6i | −0.0664596 | + | 0.376911i | ||||
\(956\) | 9921.39 | 0.335649 | ||||||||
\(957\) | −9133.59 | + | 51799.2i | −0.308513 | + | 1.74967i | ||||
\(958\) | 7570.62 | + | 6352.51i | 0.255319 | + | 0.214238i | ||||
\(959\) | 971.114 | − | 353.456i | 0.0326996 | − | 0.0119017i | ||||
\(960\) | 6804.56 | + | 2476.66i | 0.228767 | + | 0.0832643i | ||||
\(961\) | −23972.3 | −0.804682 | ||||||||
\(962\) | −32828.3 | + | 734.913i | −1.10024 | + | 0.0246305i | ||||
\(963\) | −12239.1 | −0.409553 | ||||||||
\(964\) | −11677.1 | − | 4250.13i | −0.390141 | − | 0.142000i | ||||
\(965\) | −13554.6 | + | 4933.49i | −0.452165 | + | 0.164575i | ||||
\(966\) | 8244.93 | + | 6918.32i | 0.274613 | + | 0.230428i | ||||
\(967\) | 1021.23 | − | 5791.65i | 0.0339611 | − | 0.192603i | −0.963107 | − | 0.269117i | \(-0.913268\pi\) |
0.997068 | + | 0.0765145i | \(0.0243791\pi\) | |||||||
\(968\) | 996.695 | 0.0330940 | ||||||||
\(969\) | 4014.46 | − | 22767.1i | 0.133089 | − | 0.754784i | ||||
\(970\) | −7947.02 | − | 13764.6i | −0.263055 | − | 0.455625i | ||||
\(971\) | 34094.1 | − | 28608.3i | 1.12681 | − | 0.945505i | 0.127881 | − | 0.991790i | \(-0.459182\pi\) |
0.998928 | + | 0.0462843i | \(0.0147380\pi\) | |||||||
\(972\) | −10781.2 | + | 18673.6i | −0.355769 | + | 0.616210i | ||||
\(973\) | −6692.22 | − | 11591.3i | −0.220496 | − | 0.381910i | ||||
\(974\) | 2209.01 | + | 804.013i | 0.0726706 | + | 0.0264499i | ||||
\(975\) | 44973.4 | + | 37737.2i | 1.47723 | + | 1.23955i | ||||
\(976\) | 3263.03 | − | 5651.74i | 0.107016 | − | 0.185356i | ||||
\(977\) | −7798.63 | − | 44228.3i | −0.255374 | − | 1.44830i | −0.795111 | − | 0.606464i | \(-0.792587\pi\) |
0.539737 | − | 0.841834i | \(-0.318524\pi\) | |||||||
\(978\) | 6212.06 | + | 35230.4i | 0.203108 | + | 1.15188i | ||||
\(979\) | −19959.3 | + | 16747.8i | −0.651585 | + | 0.546745i | ||||
\(980\) | 17789.4 | − | 6474.82i | 0.579859 | − | 0.211052i | ||||
\(981\) | −45164.9 | + | 16438.7i | −1.46993 | + | 0.535012i | ||||
\(982\) | −5478.70 | + | 4597.17i | −0.178037 | + | 0.149391i | ||||
\(983\) | −3821.18 | − | 21671.0i | −0.123984 | − | 0.703150i | −0.981906 | − | 0.189369i | \(-0.939356\pi\) |
0.857922 | − | 0.513781i | \(-0.171756\pi\) | |||||||
\(984\) | −431.850 | − | 2449.14i | −0.0139907 | − | 0.0793453i | ||||
\(985\) | −14261.5 | + | 24701.7i | −0.461330 | + | 0.799047i | ||||
\(986\) | −33915.1 | − | 28458.1i | −1.09541 | − | 0.919160i | ||||
\(987\) | −23033.0 | − | 8383.31i | −0.742804 | − | 0.270358i | ||||
\(988\) | −3835.60 | − | 6643.45i | −0.123509 | − | 0.213923i | ||||
\(989\) | −5229.73 | + | 9058.15i | −0.168145 | + | 0.291236i | ||||
\(990\) | −24814.9 | + | 20822.2i | −0.796635 | + | 0.668456i | ||||
\(991\) | 5050.20 | + | 8747.20i | 0.161882 | + | 0.280387i | 0.935544 | − | 0.353211i | \(-0.114910\pi\) |
−0.773662 | + | 0.633599i | \(0.781577\pi\) | |||||||
\(992\) | 423.871 | − | 2403.89i | 0.0135664 | − | 0.0769391i | ||||
\(993\) | −17490.0 | −0.558940 | ||||||||
\(994\) | 1997.62 | − | 11329.1i | 0.0637433 | − | 0.361506i | ||||
\(995\) | −14793.2 | − | 12413.0i | −0.471333 | − | 0.395495i | ||||
\(996\) | 14601.6 | − | 5314.54i | 0.464527 | − | 0.169074i | ||||
\(997\) | 12408.2 | + | 4516.22i | 0.394154 | + | 0.143460i | 0.531491 | − | 0.847064i | \(-0.321632\pi\) |
−0.137337 | + | 0.990524i | \(0.543854\pi\) | |||||||
\(998\) | 18346.3 | 0.581907 | ||||||||
\(999\) | 663.763 | + | 1092.45i | 0.0210216 | + | 0.0345983i |
(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 | 74.4.f.b.53.5 | yes | 30 | |
37.7 | even | 9 | inner | 74.4.f.b.7.5 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.4.f.b.7.5 | ✓ | 30 | 37.7 | even | 9 | inner | |
74.4.f.b.53.5 | yes | 30 | 1.1 | even | 1 | trivial |