Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,4,Mod(22,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 20]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.22");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.i (of order \(11\), degree \(10\), 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: | \(11.8593839112\) |
Analytic rank: | \(0\) |
Dimension: | \(170\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 22.17 | ||
Character | \(\chi\) | \(=\) | 201.22 |
Dual form | 201.4.i.b.64.17 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 5.17153 | − | 1.51850i | 1.82841 | − | 0.536871i | 0.828675 | − | 0.559730i | \(-0.189095\pi\) |
0.999739 | + | 0.0228599i | \(0.00727716\pi\) | |||||||
\(3\) | 0.426945 | + | 2.96946i | 0.0821655 | + | 0.571474i | ||||
\(4\) | 17.7089 | − | 11.3808i | 2.21361 | − | 1.42260i | ||||
\(5\) | 0.676102 | − | 1.48046i | 0.0604724 | − | 0.132416i | −0.876983 | − | 0.480521i | \(-0.840448\pi\) |
0.937455 | + | 0.348105i | \(0.113175\pi\) | |||||||
\(6\) | 6.71709 | + | 14.7084i | 0.457040 | + | 1.00078i | ||||
\(7\) | 12.3215 | − | 3.61792i | 0.665299 | − | 0.195350i | 0.0683906 | − | 0.997659i | \(-0.478214\pi\) |
0.596909 | + | 0.802309i | \(0.296395\pi\) | |||||||
\(8\) | 46.0635 | − | 53.1601i | 2.03574 | − | 2.34937i | ||||
\(9\) | −8.63544 | + | 2.53559i | −0.319831 | + | 0.0939109i | ||||
\(10\) | 1.24841 | − | 8.68289i | 0.0394782 | − | 0.274577i | ||||
\(11\) | −13.5587 | + | 29.6895i | −0.371647 | + | 0.813793i | 0.627728 | + | 0.778433i | \(0.283985\pi\) |
−0.999375 | + | 0.0353598i | \(0.988742\pi\) | |||||||
\(12\) | 41.3556 | + | 47.7270i | 0.994862 | + | 1.14813i | ||||
\(13\) | 6.93630 | + | 8.00491i | 0.147983 | + | 0.170782i | 0.824902 | − | 0.565276i | \(-0.191230\pi\) |
−0.676918 | + | 0.736058i | \(0.736685\pi\) | |||||||
\(14\) | 58.2273 | − | 37.4204i | 1.11156 | − | 0.714359i | ||||
\(15\) | 4.68482 | + | 1.37559i | 0.0806410 | + | 0.0236783i | ||||
\(16\) | 87.5375 | − | 191.680i | 1.36777 | − | 2.99501i | ||||
\(17\) | −56.0121 | − | 35.9968i | −0.799113 | − | 0.513559i | 0.0762132 | − | 0.997092i | \(-0.475717\pi\) |
−0.875326 | + | 0.483533i | \(0.839353\pi\) | |||||||
\(18\) | −40.8082 | + | 26.2258i | −0.534365 | + | 0.343416i | ||||
\(19\) | −16.5873 | − | 4.87048i | −0.200284 | − | 0.0588086i | 0.180052 | − | 0.983657i | \(-0.442373\pi\) |
−0.380336 | + | 0.924848i | \(0.624192\pi\) | |||||||
\(20\) | −4.87579 | − | 33.9118i | −0.0545130 | − | 0.379146i | ||||
\(21\) | 16.0039 | + | 35.0436i | 0.166302 | + | 0.364150i | ||||
\(22\) | −25.0360 | + | 174.129i | −0.242622 | + | 1.68748i | ||||
\(23\) | −8.66930 | − | 60.2963i | −0.0785945 | − | 0.546637i | −0.990635 | − | 0.136537i | \(-0.956403\pi\) |
0.912041 | − | 0.410100i | \(-0.134506\pi\) | |||||||
\(24\) | 177.524 | + | 114.088i | 1.50987 | + | 0.970334i | ||||
\(25\) | 80.1230 | + | 92.4668i | 0.640984 | + | 0.739735i | ||||
\(26\) | 48.0267 | + | 30.8649i | 0.362262 | + | 0.232812i | ||||
\(27\) | −11.2162 | − | 24.5601i | −0.0799467 | − | 0.175059i | ||||
\(28\) | 177.026 | − | 204.298i | 1.19481 | − | 1.37888i | ||||
\(29\) | 58.2611 | 0.373062 | 0.186531 | − | 0.982449i | \(-0.440275\pi\) | ||||
0.186531 | + | 0.982449i | \(0.440275\pi\) | |||||||
\(30\) | 26.3165 | 0.160157 | ||||||||
\(31\) | −109.873 | + | 126.800i | −0.636572 | + | 0.734644i | −0.978765 | − | 0.204986i | \(-0.934285\pi\) |
0.342192 | + | 0.939630i | \(0.388831\pi\) | |||||||
\(32\) | 81.5522 | − | 567.208i | 0.450517 | − | 3.13341i | ||||
\(33\) | −93.9507 | − | 27.5864i | −0.495598 | − | 0.145521i | ||||
\(34\) | −344.329 | − | 101.104i | −1.73682 | − | 0.509977i | ||||
\(35\) | 2.97442 | − | 20.6876i | 0.0143648 | − | 0.0999096i | ||||
\(36\) | −124.067 | + | 143.181i | −0.574384 | + | 0.662874i | ||||
\(37\) | −83.3057 | −0.370145 | −0.185073 | − | 0.982725i | \(-0.559252\pi\) | ||||
−0.185073 | + | 0.982725i | \(0.559252\pi\) | |||||||
\(38\) | −93.1777 | −0.397774 | ||||||||
\(39\) | −20.8089 | + | 24.0147i | −0.0854382 | + | 0.0986009i | ||||
\(40\) | −47.5576 | − | 104.137i | −0.187988 | − | 0.411637i | ||||
\(41\) | −135.045 | − | 86.7884i | −0.514403 | − | 0.330587i | 0.257551 | − | 0.966265i | \(-0.417084\pi\) |
−0.771955 | + | 0.635678i | \(0.780721\pi\) | |||||||
\(42\) | 135.978 | + | 156.928i | 0.499570 | + | 0.576534i | ||||
\(43\) | 207.000 | + | 133.031i | 0.734121 | + | 0.471791i | 0.853523 | − | 0.521055i | \(-0.174461\pi\) |
−0.119402 | + | 0.992846i | \(0.538098\pi\) | |||||||
\(44\) | 97.7804 | + | 680.078i | 0.335022 | + | 2.33013i | ||||
\(45\) | −2.08460 | + | 14.4987i | −0.00690564 | + | 0.0480298i | ||||
\(46\) | −136.393 | − | 298.660i | −0.437176 | − | 0.957283i | ||||
\(47\) | 9.51747 | + | 66.1954i | 0.0295376 | + | 0.205438i | 0.999246 | − | 0.0388273i | \(-0.0123622\pi\) |
−0.969708 | + | 0.244266i | \(0.921453\pi\) | |||||||
\(48\) | 606.562 | + | 178.103i | 1.82395 | + | 0.535561i | ||||
\(49\) | −149.820 | + | 96.2832i | −0.436792 | + | 0.280709i | ||||
\(50\) | 554.769 | + | 356.529i | 1.56912 | + | 1.00842i | ||||
\(51\) | 82.9771 | − | 181.694i | 0.227826 | − | 0.498869i | ||||
\(52\) | 213.937 | + | 62.8174i | 0.570532 | + | 0.167523i | ||||
\(53\) | −501.489 | + | 322.287i | −1.29971 | + | 0.835275i | −0.993181 | − | 0.116585i | \(-0.962805\pi\) |
−0.306532 | + | 0.951860i | \(0.599169\pi\) | |||||||
\(54\) | −95.2994 | − | 109.981i | −0.240159 | − | 0.277159i | ||||
\(55\) | 34.7869 | + | 40.1462i | 0.0852848 | + | 0.0984240i | ||||
\(56\) | 375.243 | − | 821.668i | 0.895428 | − | 1.96071i | ||||
\(57\) | 7.38084 | − | 51.3349i | 0.0171512 | − | 0.119289i | ||||
\(58\) | 301.299 | − | 88.4694i | 0.682112 | − | 0.200286i | ||||
\(59\) | −513.048 | + | 592.089i | −1.13209 | + | 1.30650i | −0.186014 | + | 0.982547i | \(0.559557\pi\) |
−0.946073 | + | 0.323952i | \(0.894988\pi\) | |||||||
\(60\) | 98.6183 | − | 28.9569i | 0.212193 | − | 0.0623054i | ||||
\(61\) | −370.668 | − | 811.650i | −0.778020 | − | 1.70363i | −0.708141 | − | 0.706071i | \(-0.750466\pi\) |
−0.0698785 | − | 0.997556i | \(-0.522261\pi\) | |||||||
\(62\) | −375.665 | + | 822.593i | −0.769509 | + | 1.68499i | ||||
\(63\) | −97.2281 | + | 62.4847i | −0.194438 | + | 0.124958i | ||||
\(64\) | −199.643 | − | 1388.55i | −0.389927 | − | 2.71200i | ||||
\(65\) | 16.5406 | − | 4.85675i | 0.0315631 | − | 0.00926778i | ||||
\(66\) | −527.759 | −0.984283 | ||||||||
\(67\) | −484.002 | − | 257.885i | −0.882542 | − | 0.470234i | ||||
\(68\) | −1401.58 | −2.49952 | ||||||||
\(69\) | 175.346 | − | 51.4863i | 0.305931 | − | 0.0898294i | ||||
\(70\) | −16.0317 | − | 111.503i | −0.0273737 | − | 0.190388i | ||||
\(71\) | 398.416 | − | 256.046i | 0.665961 | − | 0.427987i | −0.163506 | − | 0.986542i | \(-0.552280\pi\) |
0.829467 | + | 0.558555i | \(0.188644\pi\) | |||||||
\(72\) | −262.986 | + | 575.859i | −0.430461 | + | 0.942579i | ||||
\(73\) | −126.932 | − | 277.943i | −0.203511 | − | 0.445627i | 0.780165 | − | 0.625573i | \(-0.215135\pi\) |
−0.983676 | + | 0.179946i | \(0.942408\pi\) | |||||||
\(74\) | −430.818 | + | 126.500i | −0.676778 | + | 0.198720i | ||||
\(75\) | −240.369 | + | 277.400i | −0.370072 | + | 0.427086i | ||||
\(76\) | −349.173 | + | 102.526i | −0.527012 | + | 0.154745i | ||||
\(77\) | −59.6499 | + | 414.874i | −0.0882823 | + | 0.614017i | ||||
\(78\) | −71.1475 | + | 155.791i | −0.103280 | + | 0.226152i | ||||
\(79\) | 603.267 | + | 696.208i | 0.859150 | + | 0.991512i | 0.999999 | + | 0.00148118i | \(0.000471475\pi\) |
−0.140849 | + | 0.990031i | \(0.544983\pi\) | |||||||
\(80\) | −224.590 | − | 259.191i | −0.313875 | − | 0.362231i | ||||
\(81\) | 68.1415 | − | 43.7919i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | −830.180 | − | 243.763i | −1.11802 | − | 0.328282i | ||||
\(83\) | 609.695 | − | 1335.05i | 0.806297 | − | 1.76554i | 0.183733 | − | 0.982976i | \(-0.441182\pi\) |
0.622564 | − | 0.782569i | \(-0.286091\pi\) | |||||||
\(84\) | 682.237 | + | 438.447i | 0.886168 | + | 0.569506i | ||||
\(85\) | −91.1615 | + | 58.5859i | −0.116328 | + | 0.0747593i | ||||
\(86\) | 1272.52 | + | 373.644i | 1.59557 | + | 0.468501i | ||||
\(87\) | 24.8743 | + | 173.004i | 0.0306529 | + | 0.213195i | ||||
\(88\) | 953.734 | + | 2088.39i | 1.15532 | + | 2.52980i | ||||
\(89\) | −22.0676 | + | 153.484i | −0.0262828 | + | 0.182801i | −0.998734 | − | 0.0503065i | \(-0.983980\pi\) |
0.972451 | + | 0.233107i | \(0.0748893\pi\) | |||||||
\(90\) | 11.2357 | + | 78.1460i | 0.0131594 | + | 0.0915257i | ||||
\(91\) | 114.427 | + | 73.5377i | 0.131815 | + | 0.0847125i | ||||
\(92\) | −839.745 | − | 969.117i | −0.951624 | − | 1.09823i | ||||
\(93\) | −423.438 | − | 272.127i | −0.472134 | − | 0.303422i | ||||
\(94\) | 149.738 | + | 327.880i | 0.164301 | + | 0.359768i | ||||
\(95\) | −18.4252 | + | 21.2639i | −0.0198988 | + | 0.0229645i | ||||
\(96\) | 1719.12 | 1.82768 | ||||||||
\(97\) | 1266.60 | 1.32581 | 0.662904 | − | 0.748705i | \(-0.269324\pi\) | ||||
0.662904 | + | 0.748705i | \(0.269324\pi\) | |||||||
\(98\) | −628.591 | + | 725.433i | −0.647931 | + | 0.747753i | ||||
\(99\) | 41.8051 | − | 290.761i | 0.0424402 | − | 0.295178i | ||||
\(100\) | 2471.24 | + | 725.621i | 2.47124 | + | 0.725621i | ||||
\(101\) | 327.504 | + | 96.1638i | 0.322652 | + | 0.0947392i | 0.439048 | − | 0.898464i | \(-0.355316\pi\) |
−0.116396 | + | 0.993203i | \(0.537134\pi\) | |||||||
\(102\) | 153.216 | − | 1065.64i | 0.148732 | − | 1.03445i | ||||
\(103\) | 718.874 | − | 829.625i | 0.687697 | − | 0.793644i | −0.299339 | − | 0.954147i | \(-0.596766\pi\) |
0.987035 | + | 0.160503i | \(0.0513115\pi\) | |||||||
\(104\) | 745.052 | 0.702485 | ||||||||
\(105\) | 62.7009 | 0.0582760 | ||||||||
\(106\) | −2104.07 | + | 2428.23i | −1.92798 | + | 2.22501i | ||||
\(107\) | 76.5987 | + | 167.728i | 0.0692063 | + | 0.151541i | 0.941074 | − | 0.338201i | \(-0.109818\pi\) |
−0.871868 | + | 0.489742i | \(0.837091\pi\) | |||||||
\(108\) | −478.140 | − | 307.282i | −0.426010 | − | 0.273780i | ||||
\(109\) | 1154.06 | + | 1331.86i | 1.01412 | + | 1.17036i | 0.985311 | + | 0.170770i | \(0.0546255\pi\) |
0.0288075 | + | 0.999585i | \(0.490829\pi\) | |||||||
\(110\) | 240.864 | + | 154.794i | 0.208777 | + | 0.134173i | ||||
\(111\) | −35.5669 | − | 247.373i | −0.0304132 | − | 0.211528i | ||||
\(112\) | 385.110 | − | 2678.50i | 0.324906 | − | 2.25977i | ||||
\(113\) | −126.612 | − | 277.242i | −0.105404 | − | 0.230803i | 0.849580 | − | 0.527460i | \(-0.176856\pi\) |
−0.954984 | + | 0.296657i | \(0.904128\pi\) | |||||||
\(114\) | −39.7817 | − | 276.688i | −0.0326833 | − | 0.227318i | ||||
\(115\) | −95.1274 | − | 27.9319i | −0.0771363 | − | 0.0226493i | ||||
\(116\) | 1031.74 | − | 663.059i | 0.825816 | − | 0.530719i | ||||
\(117\) | −80.1951 | − | 51.5383i | −0.0633679 | − | 0.0407241i | ||||
\(118\) | −1754.16 | + | 3841.07i | −1.36850 | + | 2.99661i | ||||
\(119\) | −820.387 | − | 240.887i | −0.631973 | − | 0.185564i | ||||
\(120\) | 288.926 | − | 185.681i | 0.219793 | − | 0.141253i | ||||
\(121\) | 173.993 | + | 200.799i | 0.130724 | + | 0.150863i | ||||
\(122\) | −3149.41 | − | 3634.62i | −2.33717 | − | 2.69724i | ||||
\(123\) | 200.058 | − | 438.066i | 0.146656 | − | 0.321131i | ||||
\(124\) | −502.639 | + | 3495.93i | −0.364019 | + | 2.53181i | ||||
\(125\) | 386.265 | − | 113.418i | 0.276389 | − | 0.0811551i | ||||
\(126\) | −407.935 | + | 470.783i | −0.288427 | + | 0.332862i | ||||
\(127\) | 1099.87 | − | 322.950i | 0.768482 | − | 0.225647i | 0.126086 | − | 0.992019i | \(-0.459758\pi\) |
0.642396 | + | 0.766373i | \(0.277940\pi\) | |||||||
\(128\) | −1236.57 | − | 2707.71i | −0.853893 | − | 1.86976i | ||||
\(129\) | −306.653 | + | 671.476i | −0.209297 | + | 0.458296i | ||||
\(130\) | 78.1651 | − | 50.2337i | 0.0527349 | − | 0.0338907i | ||||
\(131\) | −151.022 | − | 1050.38i | −0.100724 | − | 0.700550i | −0.976134 | − | 0.217169i | \(-0.930318\pi\) |
0.875410 | − | 0.483381i | \(-0.160591\pi\) | |||||||
\(132\) | −1977.72 | + | 580.711i | −1.30408 | + | 0.382912i | ||||
\(133\) | −222.002 | −0.144737 | ||||||||
\(134\) | −2894.63 | − | 598.705i | −1.86611 | − | 0.385972i | ||||
\(135\) | −43.9434 | −0.0280152 | ||||||||
\(136\) | −4493.71 | + | 1319.47i | −2.83332 | + | 0.831939i | ||||
\(137\) | −435.845 | − | 3031.37i | −0.271801 | − | 1.89042i | −0.429712 | − | 0.902966i | \(-0.641385\pi\) |
0.157911 | − | 0.987453i | \(-0.449524\pi\) | |||||||
\(138\) | 828.628 | − | 532.527i | 0.511141 | − | 0.328490i | ||||
\(139\) | −565.719 | + | 1238.75i | −0.345206 | + | 0.755896i | 0.654794 | + | 0.755808i | \(0.272755\pi\) |
−1.00000 | 8.85571e-5i | \(0.999972\pi\) | ||||||||
\(140\) | −182.768 | − | 400.205i | −0.110333 | − | 0.241596i | ||||
\(141\) | −192.502 | + | 56.5236i | −0.114976 | + | 0.0337599i | ||||
\(142\) | 1671.61 | − | 1929.15i | 0.987878 | − | 1.14007i | ||||
\(143\) | −331.709 | + | 97.3986i | −0.193978 | + | 0.0569572i | ||||
\(144\) | −269.901 | + | 1877.20i | −0.156193 | + | 1.08635i | ||||
\(145\) | 39.3904 | − | 86.2530i | 0.0225600 | − | 0.0493995i | ||||
\(146\) | −1078.49 | − | 1244.64i | −0.611346 | − | 0.705531i | ||||
\(147\) | −349.874 | − | 403.776i | −0.196307 | − | 0.226550i | ||||
\(148\) | −1475.25 | + | 948.087i | −0.819358 | + | 0.526569i | ||||
\(149\) | 2572.15 | + | 755.251i | 1.41422 | + | 0.415252i | 0.897542 | − | 0.440929i | \(-0.145351\pi\) |
0.516676 | + | 0.856181i | \(0.327169\pi\) | |||||||
\(150\) | −821.843 | + | 1799.59i | −0.447355 | + | 0.979570i | ||||
\(151\) | 2303.51 | + | 1480.37i | 1.24143 | + | 0.797822i | 0.985632 | − | 0.168907i | \(-0.0540239\pi\) |
0.255803 | + | 0.966729i | \(0.417660\pi\) | |||||||
\(152\) | −1022.99 | + | 657.433i | −0.545889 | + | 0.350821i | ||||
\(153\) | 574.962 | + | 168.824i | 0.303810 | + | 0.0892066i | ||||
\(154\) | 321.505 | + | 2236.11i | 0.168231 | + | 1.17007i | ||||
\(155\) | 113.437 | + | 248.392i | 0.0587836 | + | 0.128718i | ||||
\(156\) | −95.1951 | + | 662.097i | −0.0488571 | + | 0.339809i | ||||
\(157\) | −334.985 | − | 2329.87i | −0.170285 | − | 1.18436i | −0.878282 | − | 0.478142i | \(-0.841310\pi\) |
0.707998 | − | 0.706215i | \(-0.249599\pi\) | |||||||
\(158\) | 4177.01 | + | 2684.40i | 2.10320 | + | 1.35164i | ||||
\(159\) | −1171.13 | − | 1351.55i | −0.584129 | − | 0.674121i | ||||
\(160\) | −784.589 | − | 504.225i | −0.387670 | − | 0.249140i | ||||
\(161\) | −324.966 | − | 711.577i | −0.159074 | − | 0.348324i | ||||
\(162\) | 285.898 | − | 329.944i | 0.138656 | − | 0.160018i | ||||
\(163\) | 1127.56 | 0.541823 | 0.270912 | − | 0.962604i | \(-0.412675\pi\) | ||||
0.270912 | + | 0.962604i | \(0.412675\pi\) | |||||||
\(164\) | −3379.23 | −1.60898 | ||||||||
\(165\) | −104.361 | + | 120.439i | −0.0492392 | + | 0.0568251i | ||||
\(166\) | 1125.79 | − | 7830.05i | 0.526376 | − | 3.66102i | ||||
\(167\) | −2550.56 | − | 748.912i | −1.18185 | − | 0.347021i | −0.368960 | − | 0.929445i | \(-0.620286\pi\) |
−0.812885 | + | 0.582424i | \(0.802104\pi\) | |||||||
\(168\) | 2600.12 | + | 763.465i | 1.19407 | + | 0.350611i | ||||
\(169\) | 296.699 | − | 2063.59i | 0.135047 | − | 0.939276i | ||||
\(170\) | −382.482 | + | 441.408i | −0.172559 | + | 0.199144i | ||||
\(171\) | 155.588 | 0.0695797 | ||||||||
\(172\) | 5179.74 | 2.29623 | ||||||||
\(173\) | −2865.08 | + | 3306.47i | −1.25912 | + | 1.45310i | −0.421519 | + | 0.906820i | \(0.638503\pi\) |
−0.837601 | + | 0.546282i | \(0.816043\pi\) | |||||||
\(174\) | 391.345 | + | 856.926i | 0.170504 | + | 0.373353i | ||||
\(175\) | 1321.77 | + | 849.453i | 0.570953 | + | 0.366929i | ||||
\(176\) | 4504.00 | + | 5197.89i | 1.92899 | + | 2.22617i | ||||
\(177\) | −1977.23 | − | 1270.69i | −0.839648 | − | 0.539609i | ||||
\(178\) | 118.942 | + | 827.257i | 0.0500845 | + | 0.348346i | ||||
\(179\) | 324.414 | − | 2256.35i | 0.135463 | − | 0.942164i | −0.802802 | − | 0.596246i | \(-0.796658\pi\) |
0.938265 | − | 0.345918i | \(-0.112433\pi\) | |||||||
\(180\) | 128.091 | + | 280.481i | 0.0530408 | + | 0.116143i | ||||
\(181\) | 450.198 | + | 3131.20i | 0.184878 | + | 1.28586i | 0.845028 | + | 0.534723i | \(0.179584\pi\) |
−0.660149 | + | 0.751135i | \(0.729507\pi\) | |||||||
\(182\) | 703.429 | + | 206.545i | 0.286493 | + | 0.0841218i | ||||
\(183\) | 2251.91 | − | 1447.22i | 0.909651 | − | 0.584597i | ||||
\(184\) | −3604.70 | − | 2316.60i | −1.44425 | − | 0.928162i | ||||
\(185\) | −56.3231 | + | 123.330i | −0.0223836 | + | 0.0490132i | ||||
\(186\) | −2603.05 | − | 764.324i | −1.02615 | − | 0.301306i | ||||
\(187\) | 1828.18 | − | 1174.90i | 0.714918 | − | 0.459450i | ||||
\(188\) | 921.902 | + | 1063.93i | 0.357642 | + | 0.412740i | ||||
\(189\) | −227.057 | − | 262.038i | −0.0873861 | − | 0.100849i | ||||
\(190\) | −62.9976 | + | 137.946i | −0.0240544 | + | 0.0526717i | ||||
\(191\) | 416.001 | − | 2893.35i | 0.157596 | − | 1.09610i | −0.745451 | − | 0.666560i | \(-0.767766\pi\) |
0.903047 | − | 0.429542i | \(-0.141325\pi\) | |||||||
\(192\) | 4038.00 | − | 1185.66i | 1.51780 | − | 0.445667i | ||||
\(193\) | 145.915 | − | 168.395i | 0.0544206 | − | 0.0628047i | −0.727887 | − | 0.685698i | \(-0.759497\pi\) |
0.782307 | + | 0.622893i | \(0.214043\pi\) | |||||||
\(194\) | 6550.24 | − | 1923.32i | 2.42412 | − | 0.711787i | ||||
\(195\) | 21.4838 | + | 47.0431i | 0.00788969 | + | 0.0172760i | ||||
\(196\) | −1557.36 | + | 3410.14i | −0.567550 | + | 1.24276i | ||||
\(197\) | −892.465 | + | 573.552i | −0.322769 | + | 0.207431i | −0.691984 | − | 0.721913i | \(-0.743263\pi\) |
0.369215 | + | 0.929344i | \(0.379627\pi\) | |||||||
\(198\) | −225.324 | − | 1567.16i | −0.0808741 | − | 0.562492i | ||||
\(199\) | 1889.55 | − | 554.821i | 0.673098 | − | 0.197639i | 0.0727158 | − | 0.997353i | \(-0.476833\pi\) |
0.600382 | + | 0.799713i | \(0.295015\pi\) | |||||||
\(200\) | 8606.29 | 3.04278 | ||||||||
\(201\) | 559.139 | − | 1547.33i | 0.196212 | − | 0.542986i | ||||
\(202\) | 1839.72 | 0.640804 | ||||||||
\(203\) | 717.865 | − | 210.784i | 0.248198 | − | 0.0728776i | ||||
\(204\) | −598.399 | − | 4161.95i | −0.205374 | − | 1.42841i | ||||
\(205\) | −219.791 | + | 141.251i | −0.0748822 | + | 0.0481239i | ||||
\(206\) | 2457.90 | − | 5382.04i | 0.831310 | − | 1.82031i | ||||
\(207\) | 227.750 | + | 498.703i | 0.0764721 | + | 0.167450i | ||||
\(208\) | 2141.57 | − | 628.822i | 0.713900 | − | 0.209620i | ||||
\(209\) | 369.505 | − | 426.432i | 0.122293 | − | 0.141133i | ||||
\(210\) | 324.260 | − | 95.2112i | 0.106553 | − | 0.0312867i | ||||
\(211\) | 502.129 | − | 3492.39i | 0.163829 | − | 1.13946i | −0.727502 | − | 0.686106i | \(-0.759319\pi\) |
0.891331 | − | 0.453353i | \(-0.149772\pi\) | |||||||
\(212\) | −5212.92 | + | 11414.7i | −1.68880 | + | 3.69795i | ||||
\(213\) | 930.421 | + | 1073.76i | 0.299302 | + | 0.345413i | ||||
\(214\) | 650.827 | + | 751.095i | 0.207895 | + | 0.239924i | ||||
\(215\) | 336.900 | − | 216.512i | 0.106867 | − | 0.0686791i | ||||
\(216\) | −1822.27 | − | 535.068i | −0.574028 | − | 0.168550i | ||||
\(217\) | −895.047 | + | 1959.88i | −0.279999 | + | 0.613112i | ||||
\(218\) | 7990.68 | + | 5135.30i | 2.48256 | + | 1.59544i | ||||
\(219\) | 771.149 | − | 495.587i | 0.237942 | − | 0.152916i | ||||
\(220\) | 1072.93 | + | 315.042i | 0.328806 | + | 0.0965461i | ||||
\(221\) | −100.365 | − | 698.056i | −0.0305489 | − | 0.212472i | ||||
\(222\) | −559.572 | − | 1225.29i | −0.169171 | − | 0.370433i | ||||
\(223\) | 13.4719 | − | 93.6992i | 0.00404550 | − | 0.0281371i | −0.987699 | − | 0.156369i | \(-0.950021\pi\) |
0.991744 | + | 0.128232i | \(0.0409302\pi\) | |||||||
\(224\) | −1047.27 | − | 7283.91i | −0.312382 | − | 2.17266i | ||||
\(225\) | −926.355 | − | 595.332i | −0.274476 | − | 0.176395i | ||||
\(226\) | −1075.77 | − | 1241.51i | −0.316634 | − | 0.365415i | ||||
\(227\) | 339.449 | + | 218.151i | 0.0992511 | + | 0.0637848i | 0.589325 | − | 0.807896i | \(-0.299394\pi\) |
−0.490074 | + | 0.871681i | \(0.663030\pi\) | |||||||
\(228\) | −453.526 | − | 993.084i | −0.131735 | − | 0.288459i | ||||
\(229\) | −838.438 | + | 967.610i | −0.241946 | + | 0.279220i | −0.863715 | − | 0.503980i | \(-0.831869\pi\) |
0.621770 | + | 0.783200i | \(0.286414\pi\) | |||||||
\(230\) | −534.369 | −0.153197 | ||||||||
\(231\) | −1257.42 | −0.358148 | ||||||||
\(232\) | 2683.71 | − | 3097.17i | 0.759458 | − | 0.876461i | ||||
\(233\) | 730.434 | − | 5080.28i | 0.205375 | − | 1.42841i | −0.582627 | − | 0.812740i | \(-0.697975\pi\) |
0.788002 | − | 0.615673i | \(-0.211116\pi\) | |||||||
\(234\) | −492.993 | − | 144.756i | −0.137726 | − | 0.0404401i | ||||
\(235\) | 104.434 | + | 30.6647i | 0.0289895 | + | 0.00851209i | ||||
\(236\) | −2347.06 | + | 16324.2i | −0.647375 | + | 4.50259i | ||||
\(237\) | −1809.80 | + | 2088.62i | −0.496031 | + | 0.572450i | ||||
\(238\) | −4608.45 | −1.25513 | ||||||||
\(239\) | −1494.83 | −0.404571 | −0.202285 | − | 0.979327i | \(-0.564837\pi\) | ||||
−0.202285 | + | 0.979327i | \(0.564837\pi\) | |||||||
\(240\) | 673.771 | − | 777.573i | 0.181216 | − | 0.209134i | ||||
\(241\) | 1912.95 | + | 4188.78i | 0.511304 | + | 1.11960i | 0.972628 | + | 0.232367i | \(0.0746471\pi\) |
−0.461325 | + | 0.887231i | \(0.652626\pi\) | |||||||
\(242\) | 1204.72 | + | 774.229i | 0.320011 | + | 0.205658i | ||||
\(243\) | 159.131 | + | 183.647i | 0.0420093 | + | 0.0484814i | ||||
\(244\) | −15801.4 | − | 10154.9i | −4.14582 | − | 2.66435i | ||||
\(245\) | 41.2498 | + | 286.899i | 0.0107565 | + | 0.0748134i | ||||
\(246\) | 369.404 | − | 2569.26i | 0.0957412 | − | 0.665895i | ||||
\(247\) | −76.0668 | − | 166.563i | −0.0195952 | − | 0.0429075i | ||||
\(248\) | 1679.58 | + | 11681.7i | 0.430053 | + | 2.99109i | ||||
\(249\) | 4224.67 | + | 1240.48i | 1.07521 | + | 0.315711i | ||||
\(250\) | 1825.36 | − | 1173.09i | 0.461783 | − | 0.296770i | ||||
\(251\) | −3819.85 | − | 2454.87i | −0.960585 | − | 0.617330i | −0.0364251 | − | 0.999336i | \(-0.511597\pi\) |
−0.924160 | + | 0.382006i | \(0.875233\pi\) | |||||||
\(252\) | −1010.68 | + | 2213.07i | −0.252645 | + | 0.553216i | ||||
\(253\) | 1907.71 | + | 560.154i | 0.474058 | + | 0.139196i | ||||
\(254\) | 5197.59 | − | 3340.29i | 1.28396 | − | 0.825151i | ||||
\(255\) | −212.890 | − | 245.688i | −0.0522811 | − | 0.0603356i | ||||
\(256\) | −3157.37 | − | 3643.80i | −0.770843 | − | 0.889600i | ||||
\(257\) | −998.570 | + | 2186.56i | −0.242370 | + | 0.530716i | −0.991251 | − | 0.131988i | \(-0.957864\pi\) |
0.748881 | + | 0.662704i | \(0.230591\pi\) | |||||||
\(258\) | −566.230 | + | 3938.21i | −0.136635 | + | 0.950320i | ||||
\(259\) | −1026.45 | + | 301.394i | −0.246257 | + | 0.0723077i | ||||
\(260\) | 237.641 | − | 274.253i | 0.0566842 | − | 0.0654171i | ||||
\(261\) | −503.110 | + | 147.726i | −0.119317 | + | 0.0350346i | ||||
\(262\) | −2376.01 | − | 5202.74i | −0.560269 | − | 1.22682i | ||||
\(263\) | 202.671 | − | 443.788i | 0.0475180 | − | 0.104050i | −0.884384 | − | 0.466760i | \(-0.845421\pi\) |
0.931902 | + | 0.362710i | \(0.118148\pi\) | |||||||
\(264\) | −5794.20 | + | 3723.71i | −1.35079 | + | 0.868099i | ||||
\(265\) | 138.075 | + | 960.332i | 0.0320071 | + | 0.222614i | ||||
\(266\) | −1148.09 | + | 337.110i | −0.264639 | + | 0.0777050i | ||||
\(267\) | −465.186 | −0.106625 | ||||||||
\(268\) | −11506.1 | + | 941.480i | −2.62256 | + | 0.214590i | ||||
\(269\) | −4797.31 | −1.08735 | −0.543676 | − | 0.839295i | \(-0.682968\pi\) | ||||
−0.543676 | + | 0.839295i | \(0.682968\pi\) | |||||||
\(270\) | −227.255 | + | 66.7280i | −0.0512233 | + | 0.0150405i | ||||
\(271\) | −745.755 | − | 5186.84i | −0.167164 | − | 1.16265i | −0.884711 | − | 0.466140i | \(-0.845644\pi\) |
0.717547 | − | 0.696510i | \(-0.245265\pi\) | |||||||
\(272\) | −11803.0 | + | 7585.35i | −2.63112 | + | 1.69092i | ||||
\(273\) | −169.514 | + | 371.183i | −0.0375803 | + | 0.0822894i | ||||
\(274\) | −6857.12 | − | 15015.0i | −1.51188 | − | 3.31055i | ||||
\(275\) | −3831.66 | + | 1125.08i | −0.840210 | + | 0.246708i | ||||
\(276\) | 2519.23 | − | 2907.35i | 0.549420 | − | 0.634065i | ||||
\(277\) | 469.686 | − | 137.912i | 0.101880 | − | 0.0299146i | −0.230395 | − | 0.973097i | \(-0.574002\pi\) |
0.332275 | + | 0.943183i | \(0.392184\pi\) | |||||||
\(278\) | −1044.59 | + | 7265.29i | −0.225361 | + | 1.56742i | ||||
\(279\) | 627.287 | − | 1373.57i | 0.134605 | − | 0.294743i | ||||
\(280\) | −962.741 | − | 1111.06i | −0.205481 | − | 0.237138i | ||||
\(281\) | 2396.87 | + | 2766.13i | 0.508844 | + | 0.587237i | 0.950802 | − | 0.309799i | \(-0.100262\pi\) |
−0.441959 | + | 0.897035i | \(0.645716\pi\) | |||||||
\(282\) | −909.697 | + | 584.627i | −0.192098 | + | 0.123454i | ||||
\(283\) | 2627.14 | + | 771.399i | 0.551828 | + | 0.162031i | 0.545747 | − | 0.837950i | \(-0.316246\pi\) |
0.00608141 | + | 0.999982i | \(0.498064\pi\) | |||||||
\(284\) | 4141.49 | − | 9068.59i | 0.865324 | − | 1.89479i | ||||
\(285\) | −71.0089 | − | 45.6346i | −0.0147586 | − | 0.00948478i | ||||
\(286\) | −1567.55 | + | 1007.40i | −0.324094 | + | 0.208283i | ||||
\(287\) | −1977.96 | − | 580.781i | −0.406812 | − | 0.119451i | ||||
\(288\) | 733.970 | + | 5104.87i | 0.150172 | + | 1.04447i | ||||
\(289\) | −199.350 | − | 436.515i | −0.0405760 | − | 0.0888490i | ||||
\(290\) | 72.7338 | − | 505.875i | 0.0147278 | − | 0.102434i | ||||
\(291\) | 540.766 | + | 3761.11i | 0.108936 | + | 0.757664i | ||||
\(292\) | −5411.05 | − | 3477.47i | −1.08444 | − | 0.696930i | ||||
\(293\) | 2163.29 | + | 2496.57i | 0.431333 | + | 0.497785i | 0.929256 | − | 0.369436i | \(-0.120449\pi\) |
−0.497923 | + | 0.867221i | \(0.665904\pi\) | |||||||
\(294\) | −2422.52 | − | 1556.86i | −0.480559 | − | 0.308836i | ||||
\(295\) | 529.689 | + | 1159.86i | 0.104541 | + | 0.228914i | ||||
\(296\) | −3837.35 | + | 4428.54i | −0.753519 | + | 0.869607i | ||||
\(297\) | 881.253 | 0.172173 | ||||||||
\(298\) | 14448.8 | 2.80871 | ||||||||
\(299\) | 422.534 | − | 487.630i | 0.0817249 | − | 0.0943156i | ||||
\(300\) | −1099.62 | + | 7648.05i | −0.211623 | + | 1.47187i | ||||
\(301\) | 3031.85 | + | 890.232i | 0.580575 | + | 0.170472i | ||||
\(302\) | 14160.6 | + | 4157.93i | 2.69818 | + | 0.792258i | ||||
\(303\) | −145.729 | + | 1013.57i | −0.0276301 | + | 0.192171i | ||||
\(304\) | −2385.59 | + | 2753.12i | −0.450075 | + | 0.519415i | ||||
\(305\) | −1452.22 | −0.272636 | ||||||||
\(306\) | 3229.79 | 0.603382 | ||||||||
\(307\) | 2616.11 | − | 3019.15i | 0.486350 | − | 0.561278i | −0.458537 | − | 0.888675i | \(-0.651626\pi\) |
0.944887 | + | 0.327398i | \(0.106172\pi\) | |||||||
\(308\) | 3665.27 | + | 8025.82i | 0.678079 | + | 1.48479i | ||||
\(309\) | 2770.46 | + | 1780.47i | 0.510052 | + | 0.327790i | ||||
\(310\) | 963.824 | + | 1112.31i | 0.176586 | + | 0.203791i | ||||
\(311\) | 1816.01 | + | 1167.08i | 0.331114 | + | 0.212794i | 0.695625 | − | 0.718405i | \(-0.255128\pi\) |
−0.364511 | + | 0.931199i | \(0.618764\pi\) | |||||||
\(312\) | 318.096 | + | 2212.41i | 0.0577200 | + | 0.401451i | ||||
\(313\) | −1451.78 | + | 10097.4i | −0.262172 | + | 1.82344i | 0.254283 | + | 0.967130i | \(0.418160\pi\) |
−0.516455 | + | 0.856314i | \(0.672749\pi\) | |||||||
\(314\) | −5270.30 | − | 11540.3i | −0.947198 | − | 2.07407i | ||||
\(315\) | 26.7698 | + | 186.188i | 0.00478828 | + | 0.0333032i | ||||
\(316\) | 18606.6 | + | 5463.39i | 3.31235 | + | 0.972595i | ||||
\(317\) | −7211.12 | + | 4634.30i | −1.27766 | + | 0.821099i | −0.990597 | − | 0.136814i | \(-0.956314\pi\) |
−0.287059 | + | 0.957913i | \(0.592677\pi\) | |||||||
\(318\) | −8108.87 | − | 5211.25i | −1.42995 | − | 0.918970i | ||||
\(319\) | −789.947 | + | 1729.74i | −0.138647 | + | 0.303595i | ||||
\(320\) | −2190.66 | − | 643.236i | −0.382693 | − | 0.112369i | ||||
\(321\) | −465.358 | + | 299.067i | −0.0809151 | + | 0.0520010i | ||||
\(322\) | −2761.10 | − | 3186.48i | −0.477858 | − | 0.551477i | ||||
\(323\) | 753.769 | + | 869.896i | 0.129848 | + | 0.149852i | ||||
\(324\) | 708.324 | − | 1551.01i | 0.121455 | − | 0.265949i | ||||
\(325\) | −184.432 | + | 1282.75i | −0.0314783 | + | 0.218937i | ||||
\(326\) | 5831.21 | − | 1712.20i | 0.990677 | − | 0.290889i | ||||
\(327\) | −3462.18 | + | 3995.57i | −0.585502 | + | 0.675705i | ||||
\(328\) | −10834.3 | + | 3181.25i | −1.82386 | + | 0.535534i | ||||
\(329\) | 356.760 | + | 781.195i | 0.0597836 | + | 0.130908i | ||||
\(330\) | −356.819 | + | 781.325i | −0.0595219 | + | 0.130335i | ||||
\(331\) | −2808.40 | + | 1804.85i | −0.466355 | + | 0.299708i | −0.752635 | − | 0.658438i | \(-0.771218\pi\) |
0.286280 | + | 0.958146i | \(0.407581\pi\) | |||||||
\(332\) | −4396.88 | − | 30581.0i | −0.726838 | − | 5.05527i | ||||
\(333\) | 719.381 | − | 211.229i | 0.118384 | − | 0.0347606i | ||||
\(334\) | −14327.5 | −2.34721 | ||||||||
\(335\) | −709.023 | + | 542.188i | −0.115636 | + | 0.0884265i | ||||
\(336\) | 8118.13 | 1.31810 | ||||||||
\(337\) | −1723.76 | + | 506.143i | −0.278633 | + | 0.0818141i | −0.418064 | − | 0.908418i | \(-0.637291\pi\) |
0.139430 | + | 0.990232i | \(0.455473\pi\) | |||||||
\(338\) | −1599.17 | − | 11122.5i | −0.257347 | − | 1.78989i | ||||
\(339\) | 769.205 | − | 494.338i | 0.123237 | − | 0.0791999i | ||||
\(340\) | −947.614 | + | 2074.98i | −0.151152 | + | 0.330976i | ||||
\(341\) | −2274.89 | − | 4981.32i | −0.361268 | − | 0.791066i | ||||
\(342\) | 804.630 | − | 236.261i | 0.127221 | − | 0.0373553i | ||||
\(343\) | −4382.13 | + | 5057.24i | −0.689832 | + | 0.796109i | ||||
\(344\) | 16607.1 | − | 4876.28i | 2.60289 | − | 0.764278i | ||||
\(345\) | 42.3287 | − | 294.403i | 0.00660551 | − | 0.0459423i | ||||
\(346\) | −9795.96 | + | 21450.2i | −1.52206 | + | 3.33286i | ||||
\(347\) | −2379.76 | − | 2746.38i | −0.368161 | − | 0.424881i | 0.541196 | − | 0.840896i | \(-0.317972\pi\) |
−0.909358 | + | 0.416016i | \(0.863426\pi\) | |||||||
\(348\) | 2409.42 | + | 2780.62i | 0.371146 | + | 0.428325i | ||||
\(349\) | 1807.33 | − | 1161.50i | 0.277204 | − | 0.178148i | −0.394651 | − | 0.918831i | \(-0.629134\pi\) |
0.671855 | + | 0.740683i | \(0.265498\pi\) | |||||||
\(350\) | 8125.49 | + | 2385.86i | 1.24093 | + | 0.364370i | ||||
\(351\) | 118.802 | − | 260.141i | 0.0180661 | − | 0.0395592i | ||||
\(352\) | 15734.4 | + | 10111.9i | 2.38251 | + | 1.53115i | ||||
\(353\) | −7622.62 | + | 4898.76i | −1.14932 | + | 0.738625i | −0.969504 | − | 0.245074i | \(-0.921188\pi\) |
−0.179819 | + | 0.983700i | \(0.557551\pi\) | |||||||
\(354\) | −12154.9 | − | 3568.99i | −1.82492 | − | 0.535846i | ||||
\(355\) | −109.696 | − | 762.950i | −0.0164001 | − | 0.114065i | ||||
\(356\) | 1355.98 | + | 2969.18i | 0.201873 | + | 0.442040i | ||||
\(357\) | 365.047 | − | 2538.96i | 0.0541185 | − | 0.376403i | ||||
\(358\) | −1748.55 | − | 12161.4i | −0.258138 | − | 1.79539i | ||||
\(359\) | −5000.53 | − | 3213.64i | −0.735147 | − | 0.472450i | 0.118729 | − | 0.992927i | \(-0.462118\pi\) |
−0.853876 | + | 0.520477i | \(0.825754\pi\) | |||||||
\(360\) | 674.729 | + | 778.679i | 0.0987816 | + | 0.114000i | ||||
\(361\) | −5518.74 | − | 3546.68i | −0.804598 | − | 0.517084i | ||||
\(362\) | 7082.94 | + | 15509.5i | 1.02837 | + | 2.25182i | ||||
\(363\) | −521.979 | + | 602.396i | −0.0754733 | + | 0.0871008i | ||||
\(364\) | 2863.29 | 0.412300 | ||||||||
\(365\) | −497.302 | −0.0713150 | ||||||||
\(366\) | 9448.24 | − | 10903.9i | 1.34937 | − | 1.55725i | ||||
\(367\) | −476.119 | + | 3311.48i | −0.0677199 | + | 0.471002i | 0.927538 | + | 0.373729i | \(0.121921\pi\) |
−0.995258 | + | 0.0972728i | \(0.968988\pi\) | |||||||
\(368\) | −12316.5 | − | 3616.45i | −1.74468 | − | 0.512284i | ||||
\(369\) | 1386.24 | + | 407.035i | 0.195568 | + | 0.0574239i | ||||
\(370\) | −104.000 | + | 723.334i | −0.0146127 | + | 0.101633i | ||||
\(371\) | −5013.09 | + | 5785.42i | −0.701528 | + | 0.809606i | ||||
\(372\) | −10595.6 | −1.47677 | ||||||||
\(373\) | 7964.94 | 1.10565 | 0.552827 | − | 0.833296i | \(-0.313549\pi\) | ||||
0.552827 | + | 0.833296i | \(0.313549\pi\) | |||||||
\(374\) | 7670.40 | − | 8852.12i | 1.06050 | − | 1.22388i | ||||
\(375\) | 501.704 | + | 1098.58i | 0.0690876 | + | 0.151281i | ||||
\(376\) | 3957.37 | + | 2543.25i | 0.542781 | + | 0.348824i | ||||
\(377\) | 404.116 | + | 466.375i | 0.0552070 | + | 0.0637123i | ||||
\(378\) | −1572.14 | − | 1010.35i | −0.213921 | − | 0.137479i | ||||
\(379\) | 622.852 | + | 4332.03i | 0.0844162 | + | 0.587128i | 0.987495 | + | 0.157652i | \(0.0503925\pi\) |
−0.903078 | + | 0.429476i | \(0.858698\pi\) | |||||||
\(380\) | −84.2906 | + | 586.254i | −0.0113790 | + | 0.0791426i | ||||
\(381\) | 1428.57 | + | 3128.13i | 0.192094 | + | 0.420627i | ||||
\(382\) | −2242.19 | − | 15594.8i | −0.300315 | − | 2.08874i | ||||
\(383\) | −46.9051 | − | 13.7726i | −0.00625780 | − | 0.00183746i | 0.278602 | − | 0.960407i | \(-0.410129\pi\) |
−0.284860 | + | 0.958569i | \(0.591947\pi\) | |||||||
\(384\) | 7512.50 | − | 4827.99i | 0.998361 | − | 0.641607i | ||||
\(385\) | 573.874 | + | 368.806i | 0.0759670 | + | 0.0488210i | ||||
\(386\) | 498.896 | − | 1092.43i | 0.0657854 | − | 0.144050i | ||||
\(387\) | −2124.85 | − | 623.912i | −0.279101 | − | 0.0819515i | ||||
\(388\) | 22430.0 | − | 14414.9i | 2.93482 | − | 1.88610i | ||||
\(389\) | −40.2946 | − | 46.5024i | −0.00525197 | − | 0.00606110i | 0.753118 | − | 0.657886i | \(-0.228549\pi\) |
−0.758369 | + | 0.651825i | \(0.774004\pi\) | |||||||
\(390\) | 182.539 | + | 210.662i | 0.0237006 | + | 0.0273520i | ||||
\(391\) | −1684.89 | + | 3689.39i | −0.217924 | + | 0.477187i | ||||
\(392\) | −1782.79 | + | 12399.6i | −0.229705 | + | 1.59764i | ||||
\(393\) | 3054.58 | − | 896.907i | 0.392070 | − | 0.115122i | ||||
\(394\) | −3744.47 | + | 4321.35i | −0.478792 | + | 0.552555i | ||||
\(395\) | 1438.58 | − | 422.404i | 0.183247 | − | 0.0538062i | ||||
\(396\) | −2568.78 | − | 5624.84i | −0.325974 | − | 0.713784i | ||||
\(397\) | −6145.79 | + | 13457.4i | −0.776948 | + | 1.70128i | −0.0662283 | + | 0.997804i | \(0.521097\pi\) |
−0.710720 | + | 0.703475i | \(0.751631\pi\) | |||||||
\(398\) | 8929.36 | − | 5738.55i | 1.12459 | − | 0.722733i | ||||
\(399\) | −94.7825 | − | 659.227i | −0.0118924 | − | 0.0827134i | ||||
\(400\) | 24737.9 | − | 7263.69i | 3.09223 | − | 0.907961i | ||||
\(401\) | 6584.58 | 0.819996 | 0.409998 | − | 0.912086i | \(-0.365529\pi\) | ||||
0.409998 | + | 0.912086i | \(0.365529\pi\) | |||||||
\(402\) | 541.985 | − | 8851.12i | 0.0672431 | − | 1.09814i | ||||
\(403\) | −1777.13 | −0.219666 | ||||||||
\(404\) | 6894.15 | − | 2024.31i | 0.849002 | − | 0.249290i | ||||
\(405\) | −18.7614 | − | 130.488i | −0.00230188 | − | 0.0160099i | ||||
\(406\) | 3392.39 | − | 2180.15i | 0.414683 | − | 0.266501i | ||||
\(407\) | 1129.52 | − | 2473.30i | 0.137563 | − | 0.301221i | ||||
\(408\) | −5836.69 | − | 12780.6i | −0.708233 | − | 1.55081i | ||||
\(409\) | −1558.70 | + | 457.676i | −0.188442 | + | 0.0553315i | −0.374592 | − | 0.927190i | \(-0.622217\pi\) |
0.186150 | + | 0.982521i | \(0.440399\pi\) | |||||||
\(410\) | −922.166 | + | 1064.24i | −0.111079 | + | 0.128192i | ||||
\(411\) | 8815.46 | − | 2588.45i | 1.05799 | − | 0.310655i | ||||
\(412\) | 3288.66 | − | 22873.1i | 0.393254 | − | 2.73514i | ||||
\(413\) | −4179.40 | + | 9151.61i | −0.497953 | + | 1.09037i | ||||
\(414\) | 1935.10 | + | 2233.22i | 0.229722 | + | 0.265113i | ||||
\(415\) | −1564.26 | − | 1805.25i | −0.185028 | − | 0.213533i | ||||
\(416\) | 5106.12 | − | 3281.50i | 0.601798 | − | 0.386752i | ||||
\(417\) | −3919.96 | − | 1151.00i | −0.460339 | − | 0.135168i | ||||
\(418\) | 1263.37 | − | 2766.40i | 0.147831 | − | 0.323706i | ||||
\(419\) | 3234.70 | + | 2078.82i | 0.377149 | + | 0.242379i | 0.715458 | − | 0.698656i | \(-0.246218\pi\) |
−0.338308 | + | 0.941035i | \(0.609855\pi\) | |||||||
\(420\) | 1110.36 | − | 713.587i | 0.129000 | − | 0.0829035i | ||||
\(421\) | 4645.83 | + | 1364.14i | 0.537824 | + | 0.157919i | 0.539353 | − | 0.842079i | \(-0.318669\pi\) |
−0.00152950 | + | 0.999999i | \(0.500487\pi\) | |||||||
\(422\) | −2706.41 | − | 18823.5i | −0.312194 | − | 2.17136i | ||||
\(423\) | −250.032 | − | 547.494i | −0.0287399 | − | 0.0629316i | ||||
\(424\) | −5967.51 | + | 41504.9i | −0.683509 | + | 4.75391i | ||||
\(425\) | −1159.35 | − | 8063.42i | −0.132321 | − | 0.920314i | ||||
\(426\) | 6442.21 | + | 4140.16i | 0.732691 | + | 0.470872i | ||||
\(427\) | −7503.69 | − | 8659.71i | −0.850419 | − | 0.981435i | ||||
\(428\) | 3265.36 | + | 2098.52i | 0.368778 | + | 0.236999i | ||||
\(429\) | −430.843 | − | 943.415i | −0.0484879 | − | 0.106174i | ||||
\(430\) | 1413.51 | − | 1631.28i | 0.158525 | − | 0.182947i | ||||
\(431\) | −8126.88 | −0.908255 | −0.454127 | − | 0.890937i | \(-0.650049\pi\) | ||||
−0.454127 | + | 0.890937i | \(0.650049\pi\) | |||||||
\(432\) | −5689.52 | −0.633651 | ||||||||
\(433\) | 7564.04 | − | 8729.37i | 0.839503 | − | 0.968838i | −0.160331 | − | 0.987063i | \(-0.551256\pi\) |
0.999834 | + | 0.0182256i | \(0.00580170\pi\) | |||||||
\(434\) | −1652.69 | + | 11494.7i | −0.182792 | + | 1.27135i | ||||
\(435\) | 272.943 | + | 80.1432i | 0.0300841 | + | 0.00883350i | ||||
\(436\) | 35594.7 | + | 10451.6i | 3.90981 | + | 1.14802i | ||||
\(437\) | −149.871 | + | 1042.38i | −0.0164058 | + | 0.114105i | ||||
\(438\) | 3235.47 | − | 3733.93i | 0.352961 | − | 0.407339i | ||||
\(439\) | −4240.49 | −0.461019 | −0.230510 | − | 0.973070i | \(-0.574039\pi\) | ||||
−0.230510 | + | 0.973070i | \(0.574039\pi\) | |||||||
\(440\) | 3736.59 | 0.404852 | ||||||||
\(441\) | 1049.62 | − | 1211.33i | 0.113338 | − | 0.130799i | ||||
\(442\) | −1579.04 | − | 3457.61i | −0.169926 | − | 0.372086i | ||||
\(443\) | 7205.72 | + | 4630.84i | 0.772809 | + | 0.496654i | 0.866640 | − | 0.498934i | \(-0.166275\pi\) |
−0.0938312 | + | 0.995588i | \(0.529911\pi\) | |||||||
\(444\) | −3445.16 | − | 3975.93i | −0.368243 | − | 0.424975i | ||||
\(445\) | 212.306 | + | 136.441i | 0.0226164 | + | 0.0145346i | ||||
\(446\) | −72.6117 | − | 505.026i | −0.00770912 | − | 0.0536181i | ||||
\(447\) | −1144.53 | + | 7960.35i | −0.121106 | + | 0.842308i | ||||
\(448\) | −7483.56 | − | 16386.7i | −0.789207 | − | 1.72812i | ||||
\(449\) | 1660.63 | + | 11549.9i | 0.174543 | + | 1.21397i | 0.869137 | + | 0.494571i | \(0.164675\pi\) |
−0.694594 | + | 0.719402i | \(0.744416\pi\) | |||||||
\(450\) | −5694.69 | − | 1672.11i | −0.596556 | − | 0.175165i | ||||
\(451\) | 4407.75 | − | 2832.69i | 0.460205 | − | 0.295756i | ||||
\(452\) | −5397.41 | − | 3468.70i | −0.561665 | − | 0.360960i | ||||
\(453\) | −3412.45 | + | 7472.22i | −0.353931 | + | 0.775001i | ||||
\(454\) | 2086.73 | + | 612.720i | 0.215716 | + | 0.0633400i | ||||
\(455\) | 186.233 | − | 119.685i | 0.0191885 | − | 0.0123317i | ||||
\(456\) | −2388.98 | − | 2757.03i | −0.245338 | − | 0.283136i | ||||
\(457\) | 6898.95 | + | 7961.82i | 0.706169 | + | 0.814963i | 0.989572 | − | 0.144038i | \(-0.0460088\pi\) |
−0.283403 | + | 0.959001i | \(0.591463\pi\) | |||||||
\(458\) | −2866.70 | + | 6277.19i | −0.292472 | + | 0.640424i | ||||
\(459\) | −255.840 | + | 1779.41i | −0.0260165 | + | 0.180949i | ||||
\(460\) | −2002.49 | + | 587.984i | −0.202971 | + | 0.0595976i | ||||
\(461\) | −793.241 | + | 915.449i | −0.0801408 | + | 0.0924874i | −0.794404 | − | 0.607390i | \(-0.792217\pi\) |
0.714263 | + | 0.699877i | \(0.246762\pi\) | |||||||
\(462\) | −6502.79 | + | 1909.39i | −0.654843 | + | 0.192279i | ||||
\(463\) | −6677.89 | − | 14622.5i | −0.670298 | − | 1.46775i | −0.872606 | − | 0.488425i | \(-0.837571\pi\) |
0.202308 | − | 0.979322i | \(-0.435156\pi\) | |||||||
\(464\) | 5100.03 | − | 11167.5i | 0.510265 | − | 1.11732i | ||||
\(465\) | −689.159 | + | 442.896i | −0.0687290 | + | 0.0441695i | ||||
\(466\) | −3936.94 | − | 27382.0i | −0.391363 | − | 2.72199i | ||||
\(467\) | 8878.88 | − | 2607.08i | 0.879798 | − | 0.258332i | 0.189521 | − | 0.981877i | \(-0.439307\pi\) |
0.690277 | + | 0.723545i | \(0.257488\pi\) | |||||||
\(468\) | −2006.72 | −0.198206 | ||||||||
\(469\) | −6896.65 | − | 1426.45i | −0.679014 | − | 0.140442i | ||||
\(470\) | 586.650 | 0.0575747 | ||||||||
\(471\) | 6775.45 | − | 1989.45i | 0.662837 | − | 0.194627i | ||||
\(472\) | 7842.74 | + | 54547.4i | 0.764812 | + | 5.31938i | ||||
\(473\) | −6756.28 | + | 4342.00i | −0.656774 | + | 0.422083i | ||||
\(474\) | −6187.88 | + | 13549.6i | −0.599618 | + | 1.31298i | ||||
\(475\) | −878.668 | − | 1924.01i | −0.0848759 | − | 0.185852i | ||||
\(476\) | −17269.6 | + | 5070.83i | −1.66293 | + | 0.488279i | ||||
\(477\) | 3513.39 | − | 4054.66i | 0.337247 | − | 0.389204i | ||||
\(478\) | −7730.55 | + | 2269.90i | −0.739722 | + | 0.217202i | ||||
\(479\) | 2057.59 | − | 14310.9i | 0.196271 | − | 1.36509i | −0.618717 | − | 0.785614i | \(-0.712347\pi\) |
0.814987 | − | 0.579479i | \(-0.196744\pi\) | |||||||
\(480\) | 1162.30 | − | 2545.09i | 0.110524 | − | 0.242014i | ||||
\(481\) | −577.833 | − | 666.855i | −0.0547753 | − | 0.0632140i | ||||
\(482\) | 16253.6 | + | 18757.6i | 1.53595 | + | 1.77259i | ||||
\(483\) | 1974.26 | − | 1268.78i | 0.185987 | − | 0.119527i | ||||
\(484\) | 5366.48 | + | 1575.74i | 0.503989 | + | 0.147985i | ||||
\(485\) | 856.347 | − | 1875.14i | 0.0801747 | − | 0.175558i | ||||
\(486\) | 1101.82 | + | 708.097i | 0.102839 | + | 0.0660904i | ||||
\(487\) | −7657.79 | + | 4921.37i | −0.712542 | + | 0.457923i | −0.846035 | − | 0.533127i | \(-0.821017\pi\) |
0.133494 | + | 0.991050i | \(0.457380\pi\) | |||||||
\(488\) | −60221.7 | − | 17682.7i | −5.58629 | − | 1.64028i | ||||
\(489\) | 481.405 | + | 3348.25i | 0.0445192 | + | 0.309638i | ||||
\(490\) | 648.980 | + | 1421.07i | 0.0598325 | + | 0.131015i | ||||
\(491\) | −2306.27 | + | 16040.5i | −0.211977 | + | 1.47433i | 0.554567 | + | 0.832139i | \(0.312884\pi\) |
−0.766544 | + | 0.642192i | \(0.778025\pi\) | |||||||
\(492\) | −1442.74 | − | 10034.5i | −0.132203 | − | 0.919491i | ||||
\(493\) | −3263.32 | − | 2097.21i | −0.298119 | − | 0.191590i | ||||
\(494\) | −646.308 | − | 745.879i | −0.0588639 | − | 0.0679326i | ||||
\(495\) | −402.195 | − | 258.475i | −0.0365198 | − | 0.0234699i | ||||
\(496\) | 14687.1 | + | 32160.2i | 1.32958 | + | 2.91137i | ||||
\(497\) | 3982.73 | − | 4596.31i | 0.359456 | − | 0.414835i | ||||
\(498\) | 23731.7 | 2.13543 | ||||||||
\(499\) | −15764.2 | −1.41423 | −0.707117 | − | 0.707097i | \(-0.750004\pi\) | ||||
−0.707117 | + | 0.707097i | \(0.750004\pi\) | |||||||
\(500\) | 5549.54 | − | 6404.52i | 0.496366 | − | 0.572837i | ||||
\(501\) | 1134.92 | − | 7893.54i | 0.101207 | − | 0.703907i | ||||
\(502\) | −23482.2 | − | 6895.00i | −2.08777 | − | 0.613025i | ||||
\(503\) | −8592.17 | − | 2522.89i | −0.761642 | − | 0.223638i | −0.122229 | − | 0.992502i | \(-0.539004\pi\) |
−0.639413 | + | 0.768864i | \(0.720823\pi\) | |||||||
\(504\) | −1156.97 | + | 8046.92i | −0.102253 | + | 0.711188i | ||||
\(505\) | 363.792 | − | 419.839i | 0.0320565 | − | 0.0369952i | ||||
\(506\) | 10716.4 | 0.941505 | ||||||||
\(507\) | 6254.43 | 0.547868 | ||||||||
\(508\) | 15802.0 | − | 18236.4i | 1.38012 | − | 1.59274i | ||||
\(509\) | 5934.54 | + | 12994.8i | 0.516785 | + | 1.13160i | 0.970642 | + | 0.240528i | \(0.0773205\pi\) |
−0.453857 | + | 0.891075i | \(0.649952\pi\) | |||||||
\(510\) | −1474.04 | − | 947.310i | −0.127984 | − | 0.0822502i | ||||
\(511\) | −2569.57 | − | 2965.45i | −0.222449 | − | 0.256720i | ||||
\(512\) | −1828.23 | − | 1174.93i | −0.157807 | − | 0.101417i | ||||
\(513\) | 66.4276 | + | 462.014i | 0.00571706 | + | 0.0397630i | ||||
\(514\) | −1843.84 | + | 12824.2i | −0.158227 | + | 1.10049i | ||||
\(515\) | −742.191 | − | 1625.17i | −0.0635046 | − | 0.139056i | ||||
\(516\) | 2211.46 | + | 15381.1i | 0.188671 | + | 1.31224i | ||||
\(517\) | −2094.35 | − | 614.958i | −0.178162 | − | 0.0523130i | ||||
\(518\) | −4850.67 | + | 3117.33i | −0.411440 | + | 0.264417i | ||||
\(519\) | −11041.7 | − | 7096.06i | −0.933866 | − | 0.600159i | ||||
\(520\) | 503.731 | − | 1103.02i | 0.0424809 | − | 0.0930202i | ||||
\(521\) | 5811.86 | + | 1706.51i | 0.488718 | + | 0.143501i | 0.516802 | − | 0.856105i | \(-0.327122\pi\) |
−0.0280839 | + | 0.999606i | \(0.508941\pi\) | |||||||
\(522\) | −2377.53 | + | 1527.94i | −0.199352 | + | 0.128116i | ||||
\(523\) | −2807.98 | − | 3240.58i | −0.234769 | − | 0.270938i | 0.626124 | − | 0.779723i | \(-0.284640\pi\) |
−0.860893 | + | 0.508785i | \(0.830095\pi\) | |||||||
\(524\) | −14628.6 | − | 16882.3i | −1.21957 | − | 1.40746i | ||||
\(525\) | −1958.10 | + | 4287.63i | −0.162778 | + | 0.356433i | ||||
\(526\) | 374.229 | − | 2602.82i | 0.0310212 | − | 0.215757i | ||||
\(527\) | 10718.6 | − | 3147.26i | 0.885976 | − | 0.260146i | ||||
\(528\) | −13512.0 | + | 15593.7i | −1.11370 | + | 1.28528i | ||||
\(529\) | 8113.67 | − | 2382.39i | 0.666858 | − | 0.195807i | ||||
\(530\) | 2172.32 | + | 4756.72i | 0.178037 | + | 0.389847i | ||||
\(531\) | 2929.10 | − | 6413.83i | 0.239382 | − | 0.524174i | ||||
\(532\) | −3931.41 | + | 2526.56i | −0.320391 | + | 0.205903i | ||||
\(533\) | −241.981 | − | 1683.02i | −0.0196649 | − | 0.136772i | ||||
\(534\) | −2405.73 | + | 706.385i | −0.194955 | + | 0.0572440i | ||||
\(535\) | 300.102 | 0.0242515 | ||||||||
\(536\) | −36004.1 | + | 13850.5i | −2.90138 | + | 1.11614i | ||||
\(537\) | 6838.65 | 0.549552 | ||||||||
\(538\) | −24809.5 | + | 7284.72i | −1.98813 | + | 0.583767i | ||||
\(539\) | −827.235 | − | 5753.55i | −0.0661067 | − | 0.459782i | ||||
\(540\) | −778.189 | + | 500.112i | −0.0620147 | + | 0.0398544i | ||||
\(541\) | 3239.89 | − | 7094.37i | 0.257475 | − | 0.563791i | −0.736113 | − | 0.676859i | \(-0.763341\pi\) |
0.993587 | + | 0.113068i | \(0.0360679\pi\) | |||||||
\(542\) | −11732.9 | − | 25691.5i | −0.929837 | − | 2.03606i | ||||
\(543\) | −9105.77 | + | 2673.70i | −0.719643 | + | 0.211306i | ||||
\(544\) | −24985.6 | + | 28834.9i | −1.96920 | + | 2.27258i | ||||
\(545\) | 2752.02 | − | 808.065i | 0.216300 | − | 0.0635114i | ||||
\(546\) | −313.004 | + | 2176.99i | −0.0245336 | + | 0.170635i | ||||
\(547\) | 8696.03 | − | 19041.6i | 0.679735 | − | 1.48841i | −0.183188 | − | 0.983078i | \(-0.558642\pi\) |
0.862923 | − | 0.505335i | \(-0.168631\pi\) | |||||||
\(548\) | −42217.8 | − | 48721.9i | −3.29098 | − | 3.79799i | ||||
\(549\) | 5258.90 | + | 6069.09i | 0.408824 | + | 0.471808i | ||||
\(550\) | −18107.1 | + | 11636.7i | −1.40380 | + | 0.902168i | ||||
\(551\) | −966.395 | − | 283.759i | −0.0747184 | − | 0.0219393i | ||||
\(552\) | 5340.05 | − | 11693.1i | 0.411753 | − | 0.901613i | ||||
\(553\) | 9951.99 | + | 6395.76i | 0.765284 | + | 0.491818i | ||||
\(554\) | 2219.58 | − | 1426.44i | 0.170218 | − | 0.109392i | ||||
\(555\) | −390.272 | − | 114.594i | −0.0298489 | − | 0.00876442i | ||||
\(556\) | 4079.75 | + | 28375.3i | 0.311187 | + | 2.16435i | ||||
\(557\) | 5726.64 | + | 12539.6i | 0.435629 | + | 0.953895i | 0.992380 | + | 0.123216i | \(0.0393207\pi\) |
−0.556751 | + | 0.830680i | \(0.687952\pi\) | |||||||
\(558\) | 1158.28 | − | 8055.98i | 0.0878740 | − | 0.611177i | ||||
\(559\) | 370.913 | + | 2579.76i | 0.0280643 | + | 0.195192i | ||||
\(560\) | −3705.03 | − | 2381.08i | −0.279582 | − | 0.179676i | ||||
\(561\) | 4269.35 | + | 4927.09i | 0.321305 | + | 0.370806i | ||||
\(562\) | 16595.8 | + | 10665.5i | 1.24565 | + | 0.800529i | ||||
\(563\) | −798.077 | − | 1747.55i | −0.0597424 | − | 0.130818i | 0.877406 | − | 0.479748i | \(-0.159272\pi\) |
−0.937148 | + | 0.348931i | \(0.886545\pi\) | |||||||
\(564\) | −2765.71 | + | 3191.79i | −0.206484 | + | 0.238296i | ||||
\(565\) | −496.048 | −0.0369361 | ||||||||
\(566\) | 14757.7 | 1.09596 | ||||||||
\(567\) | 681.171 | − | 786.114i | 0.0504524 | − | 0.0582252i | ||||
\(568\) | 4740.98 | − | 32974.2i | 0.350224 | − | 2.43586i | ||||
\(569\) | −6564.06 | − | 1927.38i | −0.483620 | − | 0.142004i | 0.0308289 | − | 0.999525i | \(-0.490185\pi\) |
−0.514449 | + | 0.857521i | \(0.672003\pi\) | |||||||
\(570\) | −436.521 | − | 128.174i | −0.0320769 | − | 0.00941864i | ||||
\(571\) | −2821.89 | + | 19626.7i | −0.206817 | + | 1.43844i | 0.576641 | + | 0.816998i | \(0.304363\pi\) |
−0.783457 | + | 0.621445i | \(0.786546\pi\) | |||||||
\(572\) | −4765.73 | + | 5499.94i | −0.348365 | + | 0.402035i | ||||
\(573\) | 8769.31 | 0.639343 | ||||||||
\(574\) | −11111.0 | −0.807951 | ||||||||
\(575\) | 4880.80 | − | 5632.74i | 0.353988 | − | 0.408524i | ||||
\(576\) | 5244.79 | + | 11484.5i | 0.379398 | + | 0.830765i | ||||
\(577\) | −7360.21 | − | 4730.12i | −0.531039 | − | 0.341278i | 0.247486 | − | 0.968891i | \(-0.420395\pi\) |
−0.778525 | + | 0.627613i | \(0.784032\pi\) | |||||||
\(578\) | −1693.79 | − | 1954.74i | −0.121890 | − | 0.140669i | ||||
\(579\) | 562.340 | + | 361.394i | 0.0403628 | + | 0.0259396i | ||||
\(580\) | −284.069 | − | 1975.74i | −0.0203367 | − | 0.141445i | ||||
\(581\) | 2682.27 | − | 18655.6i | 0.191531 | − | 1.33213i | ||||
\(582\) | 8507.83 | + | 18629.6i | 0.605947 | + | 1.32684i | ||||
\(583\) | −2768.99 | − | 19258.8i | −0.196707 | − | 1.36812i | ||||
\(584\) | −20622.4 | − | 6055.29i | −1.46124 | − | 0.429058i | ||||
\(585\) | −130.520 | + | 83.8803i | −0.00922453 | + | 0.00592824i | ||||
\(586\) | 14978.6 | + | 9626.14i | 1.05590 | + | 0.678587i | ||||
\(587\) | 8164.29 | − | 17877.3i | 0.574065 | − | 1.25703i | −0.370539 | − | 0.928817i | \(-0.620827\pi\) |
0.944605 | − | 0.328211i | \(-0.106446\pi\) | |||||||
\(588\) | −10791.2 | − | 3168.58i | −0.756839 | − | 0.222228i | ||||
\(589\) | 2440.07 | − | 1568.14i | 0.170699 | − | 0.109701i | ||||
\(590\) | 4500.55 | + | 5193.91i | 0.314042 | + | 0.362424i | ||||
\(591\) | −2084.18 | − | 2405.27i | −0.145062 | − | 0.167410i | ||||
\(592\) | −7292.37 | + | 15968.1i | −0.506275 | + | 1.10859i | ||||
\(593\) | −2588.21 | + | 18001.4i | −0.179233 | + | 1.24659i | 0.679311 | + | 0.733851i | \(0.262279\pi\) |
−0.858544 | + | 0.512741i | \(0.828630\pi\) | |||||||
\(594\) | 4557.43 | − | 1338.18i | 0.314804 | − | 0.0924349i | ||||
\(595\) | −911.289 | + | 1051.68i | −0.0627886 | + | 0.0724619i | ||||
\(596\) | 54145.3 | − | 15898.5i | 3.72127 | − | 1.09266i | ||||
\(597\) | 2454.25 | + | 5374.07i | 0.168251 | + | 0.368419i | ||||
\(598\) | 1444.68 | − | 3163.41i | 0.0987917 | − | 0.216324i | ||||
\(599\) | 23054.9 | − | 14816.5i | 1.57262 | − | 1.01066i | 0.594125 | − | 0.804373i | \(-0.297498\pi\) |
0.978492 | − | 0.206287i | \(-0.0661380\pi\) | |||||||
\(600\) | 3674.41 | + | 25556.1i | 0.250012 | + | 1.73887i | ||||
\(601\) | 11782.0 | − | 3459.51i | 0.799663 | − | 0.234802i | 0.143726 | − | 0.989618i | \(-0.454092\pi\) |
0.655938 | + | 0.754815i | \(0.272273\pi\) | |||||||
\(602\) | 17031.1 | 1.15305 | ||||||||
\(603\) | 4833.46 | + | 999.718i | 0.326424 | + | 0.0675152i | ||||
\(604\) | 57640.4 | 3.88304 | ||||||||
\(605\) | 414.911 | − | 121.829i | 0.0278819 | − | 0.00818685i | ||||
\(606\) | 785.459 | + | 5462.99i | 0.0526520 | + | 0.366203i | ||||
\(607\) | 13286.7 | − | 8538.86i | 0.888454 | − | 0.570975i | −0.0148908 | − | 0.999889i | \(-0.504740\pi\) |
0.903345 | + | 0.428914i | \(0.141104\pi\) | |||||||
\(608\) | −4115.31 | + | 9011.26i | −0.274503 | + | 0.601077i | ||||
\(609\) | 932.405 | + | 2041.68i | 0.0620409 | + | 0.135851i | ||||
\(610\) | −7510.22 | + | 2205.20i | −0.498492 | + | 0.146370i | ||||
\(611\) | −463.873 | + | 535.338i | −0.0307140 | + | 0.0354459i | ||||
\(612\) | 12103.3 | − | 3553.85i | 0.799423 | − | 0.234732i | ||||
\(613\) | 2254.65 | − | 15681.4i | 0.148555 | − | 1.03322i | −0.770032 | − | 0.638006i | \(-0.779760\pi\) |
0.918587 | − | 0.395219i | \(-0.129331\pi\) | |||||||
\(614\) | 8944.73 | − | 19586.2i | 0.587915 | − | 1.28735i | ||||
\(615\) | −513.278 | − | 592.355i | −0.0336543 | − | 0.0388391i | ||||
\(616\) | 19307.1 | + | 22281.6i | 1.26283 | + | 1.45739i | ||||
\(617\) | 2368.65 | − | 1522.24i | 0.154551 | − | 0.0993241i | −0.461079 | − | 0.887359i | \(-0.652538\pi\) |
0.615631 | + | 0.788035i | \(0.288901\pi\) | |||||||
\(618\) | 17031.2 | + | 5000.80i | 1.10857 | + | 0.325505i | ||||
\(619\) | −1357.18 | + | 2971.81i | −0.0881254 | + | 0.192968i | −0.948563 | − | 0.316588i | \(-0.897463\pi\) |
0.860438 | + | 0.509555i | \(0.170190\pi\) | |||||||
\(620\) | 4835.74 | + | 3107.74i | 0.313239 | + | 0.201306i | ||||
\(621\) | −1383.64 | + | 889.214i | −0.0894102 | + | 0.0574604i | ||||
\(622\) | 11163.8 | + | 3277.98i | 0.719656 | + | 0.211310i | ||||
\(623\) | 283.386 | + | 1970.99i | 0.0182241 | + | 0.126751i | ||||
\(624\) | 2781.60 | + | 6090.85i | 0.178450 | + | 0.390752i | ||||
\(625\) | −2083.30 | + | 14489.7i | −0.133331 | + | 0.927340i | ||||
\(626\) | 7824.92 | + | 54423.5i | 0.499595 | + | 3.47476i | ||||
\(627\) | 1424.03 | + | 915.170i | 0.0907023 | + | 0.0582908i | ||||
\(628\) | −32448.1 | − | 37447.1i | −2.06181 | − | 2.37946i | ||||
\(629\) | 4666.12 | + | 2998.74i | 0.295788 | + | 0.190091i | ||||
\(630\) | 421.167 | + | 922.228i | 0.0266344 | + | 0.0583213i | ||||
\(631\) | 11711.6 | − | 13515.9i | 0.738875 | − | 0.852707i | −0.254566 | − | 0.967055i | \(-0.581933\pi\) |
0.993441 | + | 0.114348i | \(0.0364780\pi\) | |||||||
\(632\) | 64799.1 | 4.07843 | ||||||||
\(633\) | 10584.9 | 0.664632 | ||||||||
\(634\) | −30255.4 | + | 34916.5i | −1.89526 | + | 2.18724i | ||||
\(635\) | 265.508 | − | 1846.65i | 0.0165927 | − | 0.115405i | ||||
\(636\) | −36121.2 | − | 10606.1i | −2.25204 | − | 0.661259i | ||||
\(637\) | −1809.93 | − | 531.444i | −0.112578 | − | 0.0330558i | ||||
\(638\) | −1458.62 | + | 10145.0i | −0.0905133 | + | 0.629534i | ||||
\(639\) | −2791.26 | + | 3221.29i | −0.172802 | + | 0.199425i | ||||
\(640\) | −4844.69 | −0.299224 | ||||||||
\(641\) | −23180.5 | −1.42835 | −0.714176 | − | 0.699966i | \(-0.753198\pi\) | ||||
−0.714176 | + | 0.699966i | \(0.753198\pi\) | |||||||
\(642\) | −1952.48 | + | 2253.28i | −0.120028 | + | 0.138520i | ||||
\(643\) | −9060.38 | − | 19839.5i | −0.555686 | − | 1.21678i | −0.954075 | − | 0.299567i | \(-0.903158\pi\) |
0.398389 | − | 0.917217i | \(-0.369569\pi\) | |||||||
\(644\) | −13853.1 | − | 8902.86i | −0.847654 | − | 0.544754i | ||||
\(645\) | 786.763 | + | 907.973i | 0.0480291 | + | 0.0554285i | ||||
\(646\) | 5219.08 | + | 3354.10i | 0.317867 | + | 0.204280i | ||||
\(647\) | −2558.42 | − | 17794.2i | −0.155459 | − | 1.08124i | −0.906872 | − | 0.421407i | \(-0.861536\pi\) |
0.751413 | − | 0.659832i | \(-0.229373\pi\) | |||||||
\(648\) | 810.855 | − | 5639.62i | 0.0491565 | − | 0.341891i | ||||
\(649\) | −10622.5 | − | 23260.1i | −0.642483 | − | 1.40684i | ||||
\(650\) | 994.064 | + | 6913.87i | 0.0599852 | + | 0.417206i | ||||
\(651\) | −6201.93 | − | 1821.05i | −0.373384 | − | 0.109635i | ||||
\(652\) | 19967.8 | − | 12832.5i | 1.19939 | − | 0.770799i | ||||
\(653\) | −11663.3 | − | 7495.53i | −0.698957 | − | 0.449193i | 0.142303 | − | 0.989823i | \(-0.454549\pi\) |
−0.841260 | + | 0.540631i | \(0.818186\pi\) | |||||||
\(654\) | −11837.5 | + | 25920.5i | −0.707773 | + | 1.54981i | ||||
\(655\) | −1657.15 | − | 486.582i | −0.0988551 | − | 0.0290265i | ||||
\(656\) | −28457.2 | + | 18288.3i | −1.69370 | + | 1.08847i | ||||
\(657\) | 1800.87 | + | 2078.31i | 0.106938 | + | 0.123413i | ||||
\(658\) | 3031.24 | + | 3498.24i | 0.179590 | + | 0.207257i | ||||
\(659\) | −792.249 | + | 1734.78i | −0.0468310 | + | 0.102546i | −0.931601 | − | 0.363482i | \(-0.881588\pi\) |
0.884770 | + | 0.466027i | \(0.154315\pi\) | |||||||
\(660\) | −477.423 | + | 3320.55i | −0.0281570 | + | 0.195837i | ||||
\(661\) | −24571.5 | + | 7214.83i | −1.44587 | + | 0.424545i | −0.908174 | − | 0.418594i | \(-0.862523\pi\) |
−0.537695 | + | 0.843139i | \(0.680705\pi\) | |||||||
\(662\) | −11783.1 | + | 13598.4i | −0.691786 | + | 0.798363i | ||||
\(663\) | 2030.00 | − | 596.062i | 0.118912 | − | 0.0349157i | ||||
\(664\) | −42886.5 | − | 93908.3i | −2.50650 | − | 5.48848i | ||||
\(665\) | −150.096 | + | 328.664i | −0.00875259 | + | 0.0191655i | ||||
\(666\) | 3399.55 | − | 2184.76i | 0.197793 | − | 0.127114i | ||||
\(667\) | −505.083 | − | 3512.93i | −0.0293207 | − | 0.203930i | ||||
\(668\) | −53690.8 | + | 15765.0i | −3.10982 | + | 0.913126i | ||||
\(669\) | 283.988 | 0.0164120 | ||||||||
\(670\) | −2843.42 | + | 3880.59i | −0.163957 | + | 0.223762i | ||||
\(671\) | 29123.3 | 1.67555 | ||||||||
\(672\) | 21182.2 | − | 6219.65i | 1.21595 | − | 0.357036i | ||||
\(673\) | 1502.32 | + | 10448.9i | 0.0860480 | + | 0.598477i | 0.986530 | + | 0.163583i | \(0.0523051\pi\) |
−0.900482 | + | 0.434894i | \(0.856786\pi\) | |||||||
\(674\) | −8145.93 | + | 5235.07i | −0.465533 | + | 0.299180i | ||||
\(675\) | 1372.32 | − | 3004.95i | 0.0782525 | − | 0.171349i | ||||
\(676\) | −18231.1 | − | 39920.6i | −1.03727 | − | 2.27131i | ||||
\(677\) | −27277.7 | + | 8009.47i | −1.54855 | + | 0.454695i | −0.940667 | − | 0.339331i | \(-0.889799\pi\) |
−0.607883 | + | 0.794026i | \(0.707981\pi\) | |||||||
\(678\) | 3227.32 | − | 3724.52i | 0.182809 | − | 0.210973i | ||||
\(679\) | 15606.4 | − | 4582.45i | 0.882059 | − | 0.258996i | ||||
\(680\) | −1084.78 | + | 7544.83i | −0.0611758 | + | 0.425487i | ||||
\(681\) | −502.864 | + | 1101.12i | −0.0282963 | + | 0.0619603i | ||||
\(682\) | −19328.8 | − | 22306.6i | −1.08525 | − | 1.25244i | ||||
\(683\) | 3344.60 | + | 3859.87i | 0.187375 | + | 0.216243i | 0.841663 | − | 0.540003i | \(-0.181577\pi\) |
−0.654288 | + | 0.756246i | \(0.727031\pi\) | |||||||
\(684\) | 2755.30 | − | 1770.72i | 0.154023 | − | 0.0989843i | ||||
\(685\) | −4782.49 | − | 1404.27i | −0.266758 | − | 0.0783273i | ||||
\(686\) | −14982.9 | + | 32808.0i | −0.833891 | + | 1.82597i | ||||
\(687\) | −3231.25 | − | 2076.60i | −0.179447 | − | 0.115323i | ||||
\(688\) | 43619.7 | − | 28032.7i | 2.41713 | − | 1.55340i | ||||
\(689\) | −6058.36 | − | 1778.89i | −0.334985 | − | 0.0983606i | ||||
\(690\) | −228.146 | − | 1586.79i | −0.0125875 | − | 0.0875479i | ||||
\(691\) | −7495.36 | − | 16412.6i | −0.412644 | − | 0.903564i | −0.995830 | − | 0.0912258i | \(-0.970922\pi\) |
0.583186 | − | 0.812338i | \(-0.301806\pi\) | |||||||
\(692\) | −13107.0 | + | 91160.9i | −0.720017 | + | 5.00783i | ||||
\(693\) | −536.849 | − | 3733.87i | −0.0294274 | − | 0.204672i | ||||
\(694\) | −16477.4 | − | 10589.4i | −0.901257 | − | 0.579203i | ||||
\(695\) | 1451.43 | + | 1675.04i | 0.0792173 | + | 0.0914217i | ||||
\(696\) | 10342.7 | + | 6646.87i | 0.563276 | + | 0.361995i | ||||
\(697\) | 4440.07 | + | 9722.39i | 0.241291 | + | 0.528353i | ||||
\(698\) | 7582.94 | − | 8751.18i | 0.411201 | − | 0.474551i | ||||
\(699\) | 15397.6 | 0.833175 | ||||||||
\(700\) | 33074.6 | 1.78586 | ||||||||
\(701\) | 9798.19 | − | 11307.7i | 0.527921 | − | 0.609253i | −0.427675 | − | 0.903932i | \(-0.640667\pi\) |
0.955596 | + | 0.294679i | \(0.0952128\pi\) | |||||||
\(702\) | 219.366 | − | 1525.73i | 0.0117941 | − | 0.0820297i | ||||
\(703\) | 1381.82 | + | 405.738i | 0.0741341 | + | 0.0217677i | ||||
\(704\) | 43932.1 | + | 12899.6i | 2.35192 | + | 0.690587i | ||||
\(705\) | −46.4700 | + | 323.206i | −0.00248250 | + | 0.0172662i | ||||
\(706\) | −31981.9 | + | 36909.1i | −1.70489 | + | 1.96755i | ||||
\(707\) | 4383.26 | 0.233167 | ||||||||
\(708\) | −49476.1 | −2.62631 | ||||||||
\(709\) | −5410.44 | + | 6243.99i | −0.286592 | + | 0.330744i | −0.880730 | − | 0.473618i | \(-0.842948\pi\) |
0.594139 | + | 0.804363i | \(0.297493\pi\) | |||||||
\(710\) | −1725.83 | − | 3779.05i | −0.0912245 | − | 0.199754i | ||||
\(711\) | −6974.78 | − | 4482.42i | −0.367897 | − | 0.236433i | ||||
\(712\) | 7142.71 | + | 8243.13i | 0.375961 | + | 0.433882i | ||||
\(713\) | 8598.09 | + | 5525.66i | 0.451614 | + | 0.290235i | ||||
\(714\) | −1967.55 | − | 13684.6i | −0.103129 | − | 0.717275i | ||||
\(715\) | −80.0748 | + | 556.932i | −0.00418829 | + | 0.0291302i | ||||
\(716\) | −19934.1 | − | 43649.5i | −1.04046 | − | 2.27829i | ||||
\(717\) | −638.209 | − | 4438.84i | −0.0332418 | − | 0.231202i | ||||
\(718\) | −30740.3 | − | 9026.17i | −1.59780 | − | 0.469155i | ||||
\(719\) | −7537.58 | + | 4844.11i | −0.390966 | + | 0.251259i | −0.721325 | − | 0.692597i | \(-0.756467\pi\) |
0.330359 | + | 0.943855i | \(0.392830\pi\) | |||||||
\(720\) | 2596.64 | + | 1668.76i | 0.134404 | + | 0.0863763i | ||||
\(721\) | 5856.10 | − | 12823.1i | 0.302486 | − | 0.662352i | ||||
\(722\) | −33926.0 | − | 9961.57i | −1.74875 | − | 0.513478i | ||||
\(723\) | −11621.7 | + | 7468.83i | −0.597810 | + | 0.384189i | ||||
\(724\) | 43608.1 | + | 50326.4i | 2.23851 | + | 2.58338i | ||||
\(725\) | 4668.05 | + | 5387.22i | 0.239127 | + | 0.275967i | ||||
\(726\) | −1784.70 | + | 3907.94i | −0.0912345 | + | 0.199776i | ||||
\(727\) | −352.937 | + | 2454.73i | −0.0180051 | + | 0.125228i | −0.996842 | − | 0.0794157i | \(-0.974695\pi\) |
0.978836 | + | 0.204644i | \(0.0656037\pi\) | |||||||
\(728\) | 9180.18 | − | 2695.54i | 0.467363 | − | 0.137230i | ||||
\(729\) | −477.393 | + | 550.941i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | −2571.81 | + | 755.152i | −0.130393 | + | 0.0382869i | ||||
\(731\) | −6805.82 | − | 14902.7i | −0.344354 | − | 0.754029i | ||||
\(732\) | 23408.4 | − | 51257.2i | 1.18197 | − | 2.58814i | ||||
\(733\) | 17959.5 | − | 11541.9i | 0.904979 | − | 0.581595i | −0.00328373 | − | 0.999995i | \(-0.501045\pi\) |
0.908263 | + | 0.418400i | \(0.137409\pi\) | |||||||
\(734\) | 2566.21 | + | 17848.4i | 0.129047 | + | 0.897543i | ||||
\(735\) | −834.324 | + | 244.980i | −0.0418701 | + | 0.0122942i | ||||
\(736\) | −34907.5 | −1.74825 | ||||||||
\(737\) | 14218.9 | − | 10873.2i | 0.710667 | − | 0.543445i | ||||
\(738\) | 7787.05 | 0.388408 | ||||||||
\(739\) | −30507.9 | + | 8957.93i | −1.51861 | + | 0.445903i | −0.931541 | − | 0.363635i | \(-0.881535\pi\) |
−0.587066 | + | 0.809539i | \(0.699717\pi\) | |||||||
\(740\) | 406.181 | + | 2825.05i | 0.0201777 | + | 0.140339i | ||||
\(741\) | 462.127 | − | 296.991i | 0.0229105 | − | 0.0147237i | ||||
\(742\) | −17140.2 | + | 37531.9i | −0.848029 | + | 1.85692i | ||||
\(743\) | 10334.0 | + | 22628.2i | 0.510251 | + | 1.11729i | 0.973000 | + | 0.230805i | \(0.0741358\pi\) |
−0.462749 | + | 0.886489i | \(0.653137\pi\) | |||||||
\(744\) | −33971.3 | + | 9974.89i | −1.67399 | + | 0.491528i | ||||
\(745\) | 2857.15 | − | 3297.33i | 0.140507 | − | 0.162154i | ||||
\(746\) | 41191.0 | − | 12094.8i | 2.02159 | − | 0.593593i | ||||
\(747\) | −1879.85 | + | 13074.6i | −0.0920751 | + | 0.640396i | ||||
\(748\) | 19003.7 | − | 41612.3i | 0.928937 | − | 2.03409i | ||||
\(749\) | 1550.64 | + | 1789.53i | 0.0756463 | + | 0.0873005i | ||||
\(750\) | 4262.77 | + | 4919.50i | 0.207539 | + | 0.239513i | ||||
\(751\) | −23793.5 | + | 15291.1i | −1.15611 | + | 0.742984i | −0.970846 | − | 0.239705i | \(-0.922949\pi\) |
−0.185260 | + | 0.982689i | \(0.559313\pi\) | |||||||
\(752\) | 13521.5 | + | 3970.27i | 0.655690 | + | 0.192528i | ||||
\(753\) | 5658.78 | − | 12391.0i | 0.273861 | − | 0.599672i | ||||
\(754\) | 2798.09 | + | 1798.22i | 0.135146 | + | 0.0868534i | ||||
\(755\) | 3749.03 | − | 2409.36i | 0.180717 | − | 0.116140i | ||||
\(756\) | −7003.13 | − | 2056.31i | −0.336907 | − | 0.0989248i | ||||
\(757\) | 5613.73 | + | 39044.3i | 0.269530 | + | 1.87462i | 0.452873 | + | 0.891575i | \(0.350399\pi\) |
−0.183342 | + | 0.983049i | \(0.558692\pi\) | |||||||
\(758\) | 9799.28 | + | 21457.4i | 0.469559 | + | 1.02819i | ||||
\(759\) | −848.872 | + | 5904.03i | −0.0405956 | + | 0.282349i | ||||
\(760\) | 281.658 | + | 1958.98i | 0.0134432 | + | 0.0934995i | ||||
\(761\) | 15675.2 | + | 10073.8i | 0.746681 | + | 0.479863i | 0.857825 | − | 0.513942i | \(-0.171815\pi\) |
−0.111144 | + | 0.993804i | \(0.535452\pi\) | |||||||
\(762\) | 12138.0 | + | 14007.9i | 0.577049 | + | 0.665951i | ||||
\(763\) | 19038.3 | + | 12235.2i | 0.903321 | + | 0.580529i | ||||
\(764\) | −25561.8 | − | 55972.5i | −1.21046 | − | 2.65054i | ||||
\(765\) | 638.669 | − | 737.064i | 0.0301845 | − | 0.0348348i | ||||
\(766\) | −263.485 | −0.0124283 | ||||||||
\(767\) | −8298.28 | −0.390656 | ||||||||
\(768\) | 9472.11 | − | 10931.4i | 0.445046 | − | 0.513611i | ||||
\(769\) | 2004.92 | − | 13944.5i | 0.0940174 | − | 0.653905i | −0.887255 | − | 0.461280i | \(-0.847391\pi\) |
0.981272 | − | 0.192626i | \(-0.0617004\pi\) | |||||||
\(770\) | 3527.84 | + | 1035.87i | 0.165110 | + | 0.0484806i | ||||
\(771\) | −6919.25 | − | 2031.68i | −0.323205 | − | 0.0949015i | ||||
\(772\) | 667.522 | − | 4642.71i | 0.0311200 | − | 0.216444i | ||||
\(773\) | 5259.47 | − | 6069.75i | 0.244722 | − | 0.282424i | −0.620079 | − | 0.784540i | \(-0.712899\pi\) |
0.864801 | + | 0.502116i | \(0.167445\pi\) | |||||||
\(774\) | −11936.1 | −0.554310 | ||||||||
\(775\) | −20528.1 | −0.951474 | ||||||||
\(776\) | 58343.8 | − | 67332.4i | 2.69900 | − | 3.11481i | ||||
\(777\) | −1333.22 | − | 2919.33i | −0.0615558 | − | 0.134788i | ||||
\(778\) | −278.999 | − | 179.302i | −0.0128568 | − | 0.00826256i | ||||
\(779\) | 1817.34 | + | 2097.32i | 0.0835853 | + | 0.0964626i | ||||
\(780\) | 915.844 | + | 588.577i | 0.0420416 | + | 0.0270185i | ||||
\(781\) | 2199.87 | + | 15300.4i | 0.100791 | + | 0.701014i | ||||
\(782\) | −3111.12 | + | 21638.3i | −0.142268 | + | 0.989493i | ||||
\(783\) | −653.468 | − | 1430.90i | −0.0298251 | − | 0.0653079i | ||||
\(784\) | 5340.77 | + | 37145.9i | 0.243293 | + | 1.69214i | ||||
\(785\) | −3675.76 | − | 1079.30i | −0.167125 | − | 0.0490725i | ||||
\(786\) | 14434.9 | − | 9276.77i | 0.655060 | − | 0.420981i | ||||
\(787\) | 29704.7 | + | 19090.0i | 1.34544 | + | 0.864659i | 0.997346 | − | 0.0728028i | \(-0.0231944\pi\) |
0.348089 | + | 0.937462i | \(0.386831\pi\) | |||||||
\(788\) | −9277.07 | + | 20314.0i | −0.419393 | + | 0.918344i | ||||
\(789\) | 1404.34 | + | 412.352i | 0.0633661 | + | 0.0186060i | ||||
\(790\) | 6798.22 | − | 4368.95i | 0.306164 | − | 0.196760i | ||||
\(791\) | −2563.10 | − | 2957.97i | −0.115213 | − | 0.132963i | ||||
\(792\) | −13531.2 | − | 15615.9i | −0.607084 | − | 0.700613i | ||||
\(793\) | 3926.12 | − | 8597.01i | 0.175814 | − | 0.384980i | ||||
\(794\) | −11348.1 | + | 78927.8i | −0.507216 | + | 3.52776i | ||||
\(795\) | −2792.72 | + | 820.017i | −0.124588 | + | 0.0365824i | ||||
\(796\) | 27147.5 | − | 31329.9i | 1.20882 | − | 1.39505i | ||||
\(797\) | −25791.5 | + | 7573.08i | −1.14628 | + | 0.336577i | −0.799086 | − | 0.601217i | \(-0.794683\pi\) |
−0.347191 | + | 0.937794i | \(0.612865\pi\) | |||||||
\(798\) | −1491.21 | − | 3265.29i | −0.0661506 | − | 0.144850i | ||||
\(799\) | 1849.73 | − | 4050.34i | 0.0819008 | − | 0.179338i | ||||
\(800\) | 58982.1 | − | 37905.5i | 2.60667 | − | 1.67520i | ||||
\(801\) | −198.609 | − | 1381.35i | −0.00876092 | − | 0.0609335i | ||||
\(802\) | 34052.4 | − | 9998.68i | 1.49929 | − | 0.440232i | ||||
\(803\) | 9973.03 | 0.438282 | ||||||||
\(804\) | −7708.15 | − | 33765.0i | −0.338116 | − | 1.48109i | ||||
\(805\) | −1273.17 | −0.0557432 | ||||||||
\(806\) | −9190.51 | + | 2698.58i | −0.401640 | + | 0.117932i | ||||
\(807\) | −2048.19 | − | 14245.5i | −0.0893428 | − | 0.621393i | ||||
\(808\) | 20198.1 | − | 12980.5i | 0.879413 | − | 0.565164i | ||||
\(809\) | −13478.6 | + | 29514.1i | −0.585764 | + | 1.28264i | 0.352204 | + | 0.935923i | \(0.385432\pi\) |
−0.937968 | + | 0.346721i | \(0.887295\pi\) | |||||||
\(810\) | −295.172 | − | 646.336i | −0.0128040 | − | 0.0280369i | ||||
\(811\) | −1995.78 | + | 586.013i | −0.0864133 | + | 0.0253732i | −0.324653 | − | 0.945833i | \(-0.605248\pi\) |
0.238240 | + | 0.971206i | \(0.423429\pi\) | |||||||
\(812\) | 10313.7 | − | 11902.6i | 0.445739 | − | 0.514410i | ||||
\(813\) | 15083.7 | − | 4428.99i | 0.650689 | − | 0.191059i | ||||
\(814\) | 2085.64 | − | 14505.9i | 0.0898055 | − | 0.624611i | ||||
\(815\) | 762.345 | − | 1669.30i | 0.0327654 | − | 0.0717461i | ||||
\(816\) | −27563.7 | − | 31810.2i | −1.18250 | − | 1.36468i | ||||
\(817\) | −2785.65 | − | 3214.82i | −0.119287 | − | 0.137665i | ||||
\(818\) | −7365.89 | + | 4733.77i | −0.314844 | + | 0.202338i | ||||
\(819\) | −1174.59 | − | 344.890i | −0.0501140 | − | 0.0147148i | ||||
\(820\) | −2284.70 | + | 5002.80i | −0.0972990 | + | 0.213055i | ||||
\(821\) | −10782.5 | − | 6929.51i | −0.458359 | − | 0.294570i | 0.291012 | − | 0.956719i | \(-0.406008\pi\) |
−0.749372 | + | 0.662150i | \(0.769644\pi\) | |||||||
\(822\) | 41658.9 | − | 26772.6i | 1.76767 | − | 1.13601i | ||||
\(823\) | −5240.72 | − | 1538.81i | −0.221968 | − | 0.0651757i | 0.168857 | − | 0.985640i | \(-0.445992\pi\) |
−0.390826 | + | 0.920465i | \(0.627810\pi\) | |||||||
\(824\) | −10989.1 | − | 76430.9i | −0.464592 | − | 3.23131i | ||||
\(825\) | −4976.78 | − | 10897.6i | −0.210023 | − | 0.459887i | ||||
\(826\) | −7717.19 | + | 53674.3i | −0.325079 | + | 2.26098i | ||||
\(827\) | −74.9787 | − | 521.488i | −0.00315268 | − | 0.0219273i | 0.988184 | − | 0.153270i | \(-0.0489803\pi\) |
−0.991337 | + | 0.131342i | \(0.958071\pi\) | |||||||
\(828\) | 9708.85 | + | 6239.50i | 0.407495 | + | 0.261881i | ||||
\(829\) | 4012.26 | + | 4630.40i | 0.168096 | + | 0.193993i | 0.833547 | − | 0.552448i | \(-0.186306\pi\) |
−0.665451 | + | 0.746441i | \(0.731761\pi\) | |||||||
\(830\) | −10830.9 | − | 6960.60i | −0.452947 | − | 0.291091i | ||||
\(831\) | 610.055 | + | 1335.83i | 0.0254664 | + | 0.0557637i | ||||
\(832\) | 9730.41 | − | 11229.5i | 0.405458 | − | 0.467924i | ||||
\(833\) | 11857.6 | 0.493207 | ||||||||
\(834\) | −22020.0 | −0.914257 | ||||||||
\(835\) | −2833.17 | + | 3269.65i | −0.117420 | + | 0.135510i | ||||
\(836\) | 1690.39 | − | 11756.9i | 0.0699321 | − | 0.486389i | ||||
\(837\) | 4346.57 | + | 1276.27i | 0.179498 | + | 0.0527053i | ||||
\(838\) | 19885.1 | + | 5838.78i | 0.819711 | + | 0.240689i | ||||
\(839\) | 3045.23 | − | 21180.0i | 0.125308 | − | 0.871533i | −0.826083 | − | 0.563548i | \(-0.809436\pi\) |
0.951391 | − | 0.307985i | \(-0.0996548\pi\) | |||||||
\(840\) | 2888.22 | − | 3333.19i | 0.118635 | − | 0.136912i | ||||
\(841\) | −20994.6 | −0.860824 | ||||||||
\(842\) | 26097.5 | 1.06815 | ||||||||
\(843\) | −7190.60 | + | 8298.39i | −0.293781 | + | 0.339041i | ||||
\(844\) | −30854.0 | − | 67560.9i | −1.25834 | − | 2.75538i | ||||
\(845\) | −2854.45 | − | 1834.45i | −0.116209 | − | 0.0746827i | ||||
\(846\) | −2124.42 | − | 2451.71i | −0.0863346 | − | 0.0996354i | ||||
\(847\) | 2870.33 | + | 1844.65i | 0.116441 | + | 0.0748323i | ||||
\(848\) | 17877.1 | + | 124338.i | 0.723941 | + | 5.03512i | ||||
\(849\) | −1169.00 | + | 8130.55i | −0.0472554 | + | 0.328669i | ||||
\(850\) | −18239.9 | − | 39939.8i | −0.736028 | − | 1.61168i | ||||
\(851\) | 722.202 | + | 5023.02i | 0.0290914 | + | 0.202335i | ||||
\(852\) | 28697.0 | + | 8426.21i | 1.15393 | + | 0.338823i | ||||
\(853\) | −8633.45 | + | 5548.38i | −0.346546 | + | 0.222712i | −0.702322 | − | 0.711860i | \(-0.747853\pi\) |
0.355776 | + | 0.934571i | \(0.384217\pi\) | |||||||
\(854\) | −51955.3 | − | 33389.7i | −2.08182 | − | 1.33790i | ||||
\(855\) | 105.194 | − | 230.342i | 0.00420765 | − | 0.00921348i | ||||
\(856\) | 12444.8 | + | 3654.13i | 0.496911 | + | 0.145906i | ||||
\(857\) | −21615.4 | + | 13891.4i | −0.861572 | + | 0.553699i | −0.895164 | − | 0.445737i | \(-0.852942\pi\) |
0.0335920 | + | 0.999436i | \(0.489305\pi\) | |||||||
\(858\) | −3660.69 | − | 4224.67i | −0.145657 | − | 0.168098i | ||||
\(859\) | 13055.5 | + | 15066.9i | 0.518566 | + | 0.598457i | 0.953271 | − | 0.302116i | \(-0.0976930\pi\) |
−0.434705 | + | 0.900573i | \(0.643148\pi\) | |||||||
\(860\) | 3502.03 | − | 7668.39i | 0.138859 | − | 0.304058i | ||||
\(861\) | 880.129 | − | 6121.43i | 0.0348371 | − | 0.242297i | ||||
\(862\) | −42028.4 | + | 12340.7i | −1.66067 | + | 0.487615i | ||||
\(863\) | −7577.92 | + | 8745.38i | −0.298905 | + | 0.344955i | −0.885258 | − | 0.465101i | \(-0.846018\pi\) |
0.586352 | + | 0.810056i | \(0.300563\pi\) | |||||||
\(864\) | −14845.4 | + | 4358.99i | −0.584548 | + | 0.171639i | ||||
\(865\) | 2958.01 | + | 6477.14i | 0.116272 | + | 0.254600i | ||||
\(866\) | 25862.2 | − | 56630.2i | 1.01482 | − | 2.22214i | ||||
\(867\) | 1211.11 | − | 778.330i | 0.0474409 | − | 0.0304884i | ||||
\(868\) | 6454.74 | + | 44893.7i | 0.252406 | + | 1.75552i | ||||
\(869\) | −28849.6 | + | 8471.00i | −1.12619 | + | 0.330678i | ||||
\(870\) | 1533.23 | 0.0597487 | ||||||||
\(871\) | −1292.84 | − | 5663.16i | −0.0502940 | − | 0.220309i | ||||
\(872\) | 123962. | 4.81408 | ||||||||
\(873\) | −10937.6 | + | 3211.57i | −0.424034 | + | 0.124508i | ||||
\(874\) | 807.785 | + | 5618.27i | 0.0312629 | + | 0.217438i | ||||
\(875\) | 4349.04 | − | 2794.96i | 0.168028 | − | 0.107985i | ||||
\(876\) | 8016.01 | − | 17552.6i | 0.309173 | − | 0.676995i | ||||
\(877\) | −13852.1 | − | 30331.8i | −0.533354 | − | 1.16788i | −0.964132 | − | 0.265424i | \(-0.914488\pi\) |
0.430778 | − | 0.902458i | \(-0.358239\pi\) | |||||||
\(878\) | −21929.8 | + | 6439.18i | −0.842934 | + | 0.247508i | ||||
\(879\) | −6489.87 | + | 7489.71i | −0.249030 | + | 0.287396i | ||||
\(880\) | 10740.4 | − | 3153.67i | 0.411431 | − | 0.120807i | ||||
\(881\) | −2097.87 | + | 14591.0i | −0.0802260 | + | 0.557984i | 0.909576 | + | 0.415537i | \(0.136406\pi\) |
−0.989802 | + | 0.142447i | \(0.954503\pi\) | |||||||
\(882\) | 3588.76 | − | 7858.28i | 0.137006 | − | 0.300002i | ||||
\(883\) | 29138.7 | + | 33627.9i | 1.11053 | + | 1.28162i | 0.955915 | + | 0.293644i | \(0.0948679\pi\) |
0.154614 | + | 0.987975i | \(0.450587\pi\) | |||||||
\(884\) | −9721.80 | − | 11219.6i | −0.369886 | − | 0.426872i | ||||
\(885\) | −3218.01 | + | 2068.09i | −0.122228 | + | 0.0785515i | ||||
\(886\) | 44296.6 | + | 13006.6i | 1.67965 | + | 0.493191i | ||||
\(887\) | −121.684 | + | 266.451i | −0.00460625 | + | 0.0100863i | −0.911921 | − | 0.410365i | \(-0.865401\pi\) |
0.907315 | + | 0.420452i | \(0.138128\pi\) | |||||||
\(888\) | −14788.7 | − | 9504.14i | −0.558871 | − | 0.359165i | ||||
\(889\) | 12383.6 | − | 7958.46i | 0.467191 | − | 0.300245i | ||||
\(890\) | 1305.13 | + | 383.222i | 0.0491553 | + | 0.0144333i | ||||
\(891\) | 376.246 | + | 2616.85i | 0.0141467 | + | 0.0983926i | ||||
\(892\) | −827.801 | − | 1812.63i | −0.0310727 | − | 0.0680397i | ||||
\(893\) | 164.534 | − | 1144.36i | 0.00616565 | − | 0.0428830i | ||||
\(894\) | 6168.83 | + | 42905.2i | 0.230779 | + | 1.60511i | ||||
\(895\) | −3121.09 | − | 2005.80i | −0.116566 | − | 0.0749123i | ||||
\(896\) | −25032.7 | − | 28889.3i | −0.933352 | − | 1.07715i | ||||
\(897\) | 1628.40 | + | 1046.51i | 0.0606138 | + | 0.0389542i | ||||
\(898\) | 26126.5 | + | 57209.1i | 0.970883 | + | 2.12594i | ||||
\(899\) | −6401.31 | + | 7387.51i | −0.237481 | + | 0.274068i | ||||
\(900\) | −23180.1 | −0.858522 | ||||||||
\(901\) | 39690.7 | 1.46758 | ||||||||
\(902\) | 18493.4 | − | 21342.5i | 0.682663 | − | 0.787835i | ||||
\(903\) | −1349.08 | + | 9383.05i | −0.0497171 | + | 0.345790i | ||||
\(904\) | −20570.5 | − | 6040.03i | −0.756818 | − | 0.222222i | ||||
\(905\) | 4939.98 | + | 1450.51i | 0.181448 | + | 0.0532780i | ||||
\(906\) | −6301.03 | + | 43824.6i | −0.231057 | + | 1.60704i | ||||
\(907\) | −4626.97 | + | 5339.81i | −0.169389 | + | 0.195485i | −0.834097 | − | 0.551618i | \(-0.814011\pi\) |
0.664708 | + | 0.747104i | \(0.268556\pi\) | |||||||
\(908\) | 8493.99 | 0.310444 | ||||||||
\(909\) | −3071.97 | −0.112091 | ||||||||
\(910\) | 781.371 | − | 901.751i | 0.0284640 | − | 0.0328492i | ||||
\(911\) | 2024.27 | + | 4432.54i | 0.0736193 | + | 0.161204i | 0.942864 | − | 0.333179i | \(-0.108121\pi\) |
−0.869244 | + | 0.494383i | \(0.835394\pi\) | |||||||
\(912\) | −9193.80 | − | 5908.49i | −0.333812 | − | 0.214528i | ||||
\(913\) | 31370.1 | + | 36203.0i | 1.13713 | + | 1.31232i | ||||
\(914\) | 47768.2 | + | 30698.7i | 1.72870 | + | 1.11097i | ||||
\(915\) | −620.019 | − | 4312.32i | −0.0224013 | − | 0.155804i | ||||
\(916\) | −3835.63 | + | 26677.4i | −0.138355 | + | 0.962278i | ||||
\(917\) | −5661.01 | − | 12395.9i | −0.203864 | − | 0.446399i | ||||
\(918\) | 1378.94 | + | 9590.76i | 0.0495772 | + | 0.344817i | ||||
\(919\) | −20236.4 | − | 5941.94i | −0.726373 | − | 0.213282i | −0.102417 | − | 0.994742i | \(-0.532658\pi\) |
−0.623956 | + | 0.781459i | \(0.714476\pi\) | |||||||
\(920\) | −5866.77 | + | 3770.34i | −0.210241 | + | 0.135114i | ||||
\(921\) | 10082.2 | + | 6479.44i | 0.360717 | + | 0.231818i | ||||
\(922\) | −2712.16 | + | 5938.81i | −0.0968768 | + | 0.212131i | ||||
\(923\) | 4813.15 | + | 1413.27i | 0.171643 | + | 0.0503991i | ||||
\(924\) | −22267.5 | + | 14310.5i | −0.792801 | + | 0.509502i | ||||
\(925\) | −6674.70 | − | 7703.01i | −0.237257 | − | 0.273809i | ||||
\(926\) | −56739.2 | − | 65480.6i | −2.01357 | − | 2.32379i | ||||
\(927\) | −4104.20 | + | 8986.94i | −0.145415 | + | 0.318414i | ||||
\(928\) | 4751.32 | − | 33046.2i | 0.168071 | − | 1.16896i | ||||
\(929\) | 33984.6 | − | 9978.78i | 1.20021 | − | 0.352415i | 0.380279 | − | 0.924872i | \(-0.375828\pi\) |
0.819935 | + | 0.572457i | \(0.194010\pi\) | |||||||
\(930\) | −2891.47 | + | 3336.94i | −0.101952 | + | 0.117659i | ||||
\(931\) | 2954.05 | − | 867.388i | 0.103990 | − | 0.0305344i | ||||
\(932\) | −44882.5 | − | 98279.1i | −1.57744 | − | 3.45412i | ||||
\(933\) | −2690.26 | + | 5890.85i | −0.0944001 | + | 0.206707i | ||||
\(934\) | 41958.6 | − | 26965.2i | 1.46994 | − | 0.944675i | ||||
\(935\) | −503.352 | − | 3500.89i | −0.0176057 | − | 0.122451i | ||||
\(936\) | −6433.85 | + | 1889.15i | −0.224676 | + | 0.0659709i | ||||
\(937\) | −45788.2 | −1.59641 | −0.798205 | − | 0.602386i | \(-0.794217\pi\) | ||||
−0.798205 | + | 0.602386i | \(0.794217\pi\) | |||||||
\(938\) | −37832.3 | + | 3095.61i | −1.31692 | + | 0.107756i | ||||
\(939\) | −30603.7 | −1.06359 | ||||||||
\(940\) | 2198.40 | − | 645.510i | 0.0762809 | − | 0.0223981i | ||||
\(941\) | −3464.27 | − | 24094.5i | −0.120013 | − | 0.834706i | −0.957538 | − | 0.288307i | \(-0.906908\pi\) |
0.837525 | − | 0.546398i | \(-0.184002\pi\) | |||||||
\(942\) | 32018.5 | − | 20577.0i | 1.10745 | − | 0.711716i | ||||
\(943\) | −4062.27 | + | 8895.13i | −0.140282 | + | 0.307174i | ||||
\(944\) | 68581.0 | + | 150171.i | 2.36453 | + | 5.17761i | ||||
\(945\) | −541.449 | + | 158.984i | −0.0186385 | + | 0.00547275i | ||||
\(946\) | −28347.0 | + | 32714.2i | −0.974250 | + | 1.12434i | ||||
\(947\) | −16361.1 | + | 4804.07i | −0.561421 | + | 0.164848i | −0.550116 | − | 0.835088i | \(-0.685417\pi\) |
−0.0113047 | + | 0.999936i | \(0.503598\pi\) | |||||||
\(948\) | −8279.36 | + | 57584.2i | −0.283651 | + | 1.97284i | ||||
\(949\) | 1344.47 | − | 2943.98i | 0.0459887 | − | 0.100701i | ||||
\(950\) | −7465.67 | − | 8615.85i | −0.254967 | − | 0.294247i | ||||
\(951\) | −16840.2 | − | 19434.6i | −0.574216 | − | 0.662680i | ||||
\(952\) | −50595.5 | + | 32515.8i | −1.72249 | + | 1.10698i | ||||
\(953\) | −20982.8 | − | 6161.11i | −0.713221 | − | 0.209421i | −0.0950595 | − | 0.995472i | \(-0.530304\pi\) |
−0.618162 | + | 0.786051i | \(0.712122\pi\) | |||||||
\(954\) | 12012.6 | − | 26303.9i | 0.407675 | − | 0.892684i | ||||
\(955\) | −4002.22 | − | 2572.07i | −0.135611 | − | 0.0871522i | ||||
\(956\) | −26471.8 | + | 17012.4i | −0.895563 | + | 0.575543i | ||||
\(957\) | −5473.67 | − | 1607.21i | −0.184889 | − | 0.0542883i | ||||
\(958\) | −11090.1 | − | 77133.5i | −0.374014 | − | 2.60133i | ||||
\(959\) | −16337.5 | − | 35774.2i | −0.550122 | − | 1.20460i | ||||
\(960\) | 974.776 | − | 6779.72i | 0.0327716 | − | 0.227932i | ||||
\(961\) | 233.497 | + | 1624.01i | 0.00783784 | + | 0.0545134i | ||||
\(962\) | −4000.90 | − | 2571.22i | −0.134090 | − | 0.0861742i | ||||
\(963\) | −1086.75 | − | 1254.18i | −0.0363656 | − | 0.0419682i | ||||
\(964\) | 81548.1 | + | 52407.8i | 2.72457 | + | 1.75098i | ||||
\(965\) | −150.648 | − | 329.873i | −0.00502541 | − | 0.0110041i | ||||
\(966\) | 8283.31 | − | 9559.45i | 0.275891 | − | 0.318396i | ||||
\(967\) | −10259.6 | −0.341186 | −0.170593 | − | 0.985342i | \(-0.554568\pi\) | ||||
−0.170593 | + | 0.985342i | \(0.554568\pi\) | |||||||
\(968\) | 18689.2 | 0.620552 | ||||||||
\(969\) | −2261.31 | + | 2609.69i | −0.0749676 | + | 0.0865172i | ||||
\(970\) | 1581.23 | − | 10997.7i | 0.0523405 | − | 0.364036i | ||||
\(971\) | 40042.1 | + | 11757.4i | 1.32339 | + | 0.388583i | 0.865715 | − | 0.500537i | \(-0.166864\pi\) |
0.457676 | + | 0.889119i | \(0.348682\pi\) | |||||||
\(972\) | 4908.09 | + | 1441.15i | 0.161962 | + | 0.0475563i | ||||
\(973\) | −2488.81 | + | 17310.0i | −0.0820015 | + | 0.570333i | ||||
\(974\) | −32129.5 | + | 37079.4i | −1.05698 | + | 1.21981i | ||||
\(975\) | −3887.84 | −0.127703 | ||||||||
\(976\) | −188025. | −6.16653 | ||||||||
\(977\) | 29020.4 | − | 33491.3i | 0.950302 | − | 1.09671i | −0.0449127 | − | 0.998991i | \(-0.514301\pi\) |
0.995214 | − | 0.0977156i | \(-0.0311536\pi\) | |||||||
\(978\) | 7573.91 | + | 16584.6i | 0.247635 | + | 0.542245i | ||||
\(979\) | −4257.65 | − | 2736.22i | −0.138994 | − | 0.0893259i | ||||
\(980\) | 3995.63 | + | 4611.20i | 0.130240 | + | 0.150306i | ||||
\(981\) | −13342.9 | − | 8574.93i | −0.434256 | − | 0.279079i | ||||
\(982\) | 12430.5 | + | 86455.9i | 0.403944 | + | 2.80949i | ||||
\(983\) | −899.112 | + | 6253.46i | −0.0291732 | + | 0.202904i | −0.999195 | − | 0.0401134i | \(-0.987228\pi\) |
0.970022 | + | 0.243017i | \(0.0781372\pi\) | |||||||
\(984\) | −14072.3 | − | 30814.0i | −0.455902 | − | 0.998287i | ||||
\(985\) | 245.722 | + | 1709.04i | 0.00794859 | + | 0.0552836i | ||||
\(986\) | −20061.0 | − | 5890.44i | −0.647944 | − | 0.190253i | ||||
\(987\) | −2167.41 | + | 1392.91i | −0.0698982 | + | 0.0449208i | ||||
\(988\) | −3242.68 | − | 2083.95i | −0.104417 | − | 0.0671044i | ||||
\(989\) | 6226.72 | − | 13634.6i | 0.200201 | − | 0.438378i | ||||
\(990\) | −2472.46 | − | 725.979i | −0.0793736 | − | 0.0233062i | ||||
\(991\) | −8016.33 | + | 5151.79i | −0.256960 | + | 0.165138i | −0.662778 | − | 0.748816i | \(-0.730623\pi\) |
0.405819 | + | 0.913954i | \(0.366987\pi\) | |||||||
\(992\) | 62961.6 | + | 72661.6i | 2.01515 | + | 2.32561i | ||||
\(993\) | −6558.47 | − | 7568.87i | −0.209594 | − | 0.241884i | ||||
\(994\) | 13617.3 | − | 29817.8i | 0.434522 | − | 0.951471i | ||||
\(995\) | 456.138 | − | 3172.51i | 0.0145332 | − | 0.101081i | ||||
\(996\) | 88931.9 | − | 26112.8i | 2.82923 | − | 0.830738i | ||||
\(997\) | 13985.6 | − | 16140.2i | 0.444261 | − | 0.512704i | −0.488813 | − | 0.872388i | \(-0.662570\pi\) |
0.933074 | + | 0.359684i | \(0.117115\pi\) | |||||||
\(998\) | −81525.1 | + | 23937.9i | −2.58580 | + | 0.759260i | ||||
\(999\) | 934.374 | + | 2045.99i | 0.0295919 | + | 0.0647971i |
(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 | 201.4.i.b.22.17 | ✓ | 170 | |
67.64 | even | 11 | inner | 201.4.i.b.64.17 | yes | 170 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.4.i.b.22.17 | ✓ | 170 | 1.1 | even | 1 | trivial | |
201.4.i.b.64.17 | yes | 170 | 67.64 | even | 11 | inner |