Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [147,4,Mod(5,147)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(147, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 29]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("147.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 147 = 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 147.o (of order \(42\), degree \(12\), 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: | \(8.67328077084\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 101.28 | ||
Character | \(\chi\) | \(=\) | 147.101 |
Dual form | 147.4.o.a.131.28 |
$q$-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 \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).
\(n\) | \(50\) | \(52\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.283103 | + | 0.111110i | 0.100092 | + | 0.0392832i | 0.414859 | − | 0.909886i | \(-0.363831\pi\) |
−0.314767 | + | 0.949169i | \(0.601926\pi\) | |||||||
\(3\) | −4.60008 | − | 2.41646i | −0.885286 | − | 0.465047i | ||||
\(4\) | −5.79661 | − | 5.37847i | −0.724577 | − | 0.672309i | ||||
\(5\) | 14.9795 | + | 10.2129i | 1.33981 | + | 0.913466i | 0.999638 | − | 0.0268981i | \(-0.00856297\pi\) |
0.340170 | + | 0.940364i | \(0.389515\pi\) | |||||||
\(6\) | −1.03380 | − | 1.19522i | −0.0703415 | − | 0.0813243i | ||||
\(7\) | −13.0100 | + | 13.1810i | −0.702475 | + | 0.711708i | ||||
\(8\) | −2.09908 | − | 4.35878i | −0.0927671 | − | 0.192633i | ||||
\(9\) | 15.3215 | + | 22.2318i | 0.567463 | + | 0.823399i | ||||
\(10\) | 3.10600 | + | 4.55566i | 0.0982202 | + | 0.144063i | ||||
\(11\) | −4.06296 | − | 26.9560i | −0.111366 | − | 0.738866i | −0.972910 | − | 0.231183i | \(-0.925740\pi\) |
0.861544 | − | 0.507683i | \(-0.169498\pi\) | |||||||
\(12\) | 13.6681 | + | 38.7487i | 0.328802 | + | 0.932148i | ||||
\(13\) | 40.2721 | − | 32.1159i | 0.859190 | − | 0.685181i | −0.0913380 | − | 0.995820i | \(-0.529114\pi\) |
0.950528 | + | 0.310639i | \(0.100543\pi\) | |||||||
\(14\) | −5.14771 | + | 2.28604i | −0.0982703 | + | 0.0436408i | ||||
\(15\) | −44.2281 | − | 83.1773i | −0.761309 | − | 1.43175i | ||||
\(16\) | 4.61748 | + | 61.6160i | 0.0721481 | + | 0.962749i | ||||
\(17\) | 81.2257 | + | 25.0548i | 1.15883 | + | 0.357452i | 0.813803 | − | 0.581141i | \(-0.197393\pi\) |
0.345028 | + | 0.938593i | \(0.387870\pi\) | |||||||
\(18\) | 1.86739 | + | 7.99625i | 0.0244527 | + | 0.104707i | ||||
\(19\) | 94.1016 | − | 54.3296i | 1.13623 | − | 0.656003i | 0.190736 | − | 0.981641i | \(-0.438913\pi\) |
0.945494 | + | 0.325638i | \(0.105579\pi\) | |||||||
\(20\) | −31.9009 | − | 139.767i | −0.356663 | − | 1.56264i | ||||
\(21\) | 91.6985 | − | 29.1956i | 0.952869 | − | 0.303381i | ||||
\(22\) | 1.84483 | − | 8.08274i | 0.0178782 | − | 0.0783294i | ||||
\(23\) | −8.40103 | − | 27.2355i | −0.0761624 | − | 0.246913i | 0.909483 | − | 0.415741i | \(-0.136478\pi\) |
−0.985645 | + | 0.168829i | \(0.946002\pi\) | |||||||
\(24\) | −0.876869 | + | 25.1231i | −0.00745793 | + | 0.213676i | ||||
\(25\) | 74.4157 | + | 189.608i | 0.595325 | + | 1.51686i | ||||
\(26\) | 14.9695 | − | 4.61749i | 0.112914 | − | 0.0348294i | ||||
\(27\) | −16.7580 | − | 139.292i | −0.119447 | − | 0.992841i | ||||
\(28\) | 146.308 | − | 6.43121i | 0.987485 | − | 0.0434066i | ||||
\(29\) | 251.444 | − | 57.3904i | 1.61007 | − | 0.367487i | 0.679518 | − | 0.733658i | \(-0.262189\pi\) |
0.930547 | + | 0.366171i | \(0.119332\pi\) | |||||||
\(30\) | −3.27929 | − | 28.4619i | −0.0199571 | − | 0.173214i | ||||
\(31\) | 33.3614 | + | 19.2612i | 0.193287 | + | 0.111594i | 0.593520 | − | 0.804819i | \(-0.297738\pi\) |
−0.400234 | + | 0.916413i | \(0.631071\pi\) | |||||||
\(32\) | −16.9468 | + | 54.9403i | −0.0936190 | + | 0.303505i | ||||
\(33\) | −46.4479 | + | 133.818i | −0.245017 | + | 0.705898i | ||||
\(34\) | 20.2114 | + | 16.1180i | 0.101948 | + | 0.0813007i | ||||
\(35\) | −329.500 | + | 64.5757i | −1.59130 | + | 0.311865i | ||||
\(36\) | 30.7602 | − | 211.275i | 0.142408 | − | 0.978126i | ||||
\(37\) | −84.6140 | + | 78.5103i | −0.375958 | + | 0.348838i | −0.845408 | − | 0.534121i | \(-0.820643\pi\) |
0.469450 | + | 0.882959i | \(0.344452\pi\) | |||||||
\(38\) | 32.6770 | − | 4.92526i | 0.139497 | − | 0.0210259i | ||||
\(39\) | −262.862 | + | 50.4201i | −1.07927 | + | 0.207018i | ||||
\(40\) | 13.0725 | − | 86.7301i | 0.0516734 | − | 0.342831i | ||||
\(41\) | −416.591 | + | 200.620i | −1.58684 | + | 0.764184i | −0.998997 | − | 0.0447873i | \(-0.985739\pi\) |
−0.587848 | + | 0.808971i | \(0.700025\pi\) | |||||||
\(42\) | 29.2040 | + | 1.92323i | 0.107292 | + | 0.00706575i | ||||
\(43\) | 296.963 | + | 143.010i | 1.05317 | + | 0.507182i | 0.878648 | − | 0.477470i | \(-0.158446\pi\) |
0.174527 | + | 0.984652i | \(0.444161\pi\) | |||||||
\(44\) | −121.430 | + | 178.106i | −0.416053 | + | 0.610238i | ||||
\(45\) | 2.45843 | + | 489.497i | 0.00814401 | + | 1.62155i | ||||
\(46\) | 0.647769 | − | 8.64388i | 0.00207627 | − | 0.0277059i | ||||
\(47\) | −67.7263 | + | 172.564i | −0.210189 | + | 0.535554i | −0.996622 | − | 0.0821219i | \(-0.973830\pi\) |
0.786433 | + | 0.617676i | \(0.211926\pi\) | |||||||
\(48\) | 127.651 | − | 294.596i | 0.383852 | − | 0.885861i | ||||
\(49\) | −4.47846 | − | 342.971i | −0.0130567 | − | 0.999915i | ||||
\(50\) | 61.9469i | 0.175212i | ||||||||
\(51\) | −313.101 | − | 311.532i | −0.859665 | − | 0.855358i | ||||
\(52\) | −406.176 | − | 30.4387i | −1.08320 | − | 0.0811748i | ||||
\(53\) | 200.228 | − | 215.795i | 0.518933 | − | 0.559277i | −0.418152 | − | 0.908377i | \(-0.637322\pi\) |
0.937085 | + | 0.349100i | \(0.113513\pi\) | |||||||
\(54\) | 10.7324 | − | 41.2958i | 0.0270462 | − | 0.104068i | ||||
\(55\) | 214.436 | − | 445.282i | 0.525720 | − | 1.09167i | ||||
\(56\) | 84.7623 | + | 29.0399i | 0.202265 | + | 0.0692968i | ||||
\(57\) | −564.160 | + | 22.5282i | −1.31096 | + | 0.0523496i | ||||
\(58\) | 77.5610 | + | 11.6904i | 0.175591 | + | 0.0264660i | ||||
\(59\) | 433.618 | − | 295.636i | 0.956818 | − | 0.652348i | 0.0191270 | − | 0.999817i | \(-0.493911\pi\) |
0.937691 | + | 0.347469i | \(0.112959\pi\) | |||||||
\(60\) | −190.994 | + | 720.026i | −0.410953 | + | 1.54925i | ||||
\(61\) | 467.341 | + | 503.674i | 0.980933 | + | 1.05719i | 0.998354 | + | 0.0573463i | \(0.0182639\pi\) |
−0.0174212 | + | 0.999848i | \(0.505546\pi\) | |||||||
\(62\) | 7.30461 | + | 9.15969i | 0.0149627 | + | 0.0187626i | ||||
\(63\) | −492.370 | − | 87.2832i | −0.984648 | − | 0.174550i | ||||
\(64\) | 297.295 | − | 372.796i | 0.580654 | − | 0.728118i | ||||
\(65\) | 931.252 | − | 69.7877i | 1.77704 | − | 0.133171i | ||||
\(66\) | −28.0180 | + | 32.7233i | −0.0522541 | + | 0.0610297i | ||||
\(67\) | −123.279 | + | 213.526i | −0.224791 | + | 0.389349i | −0.956257 | − | 0.292529i | \(-0.905503\pi\) |
0.731466 | + | 0.681878i | \(0.238836\pi\) | |||||||
\(68\) | −336.077 | − | 582.103i | −0.599344 | − | 1.03809i | ||||
\(69\) | −27.1679 | + | 145.586i | −0.0474004 | + | 0.254007i | ||||
\(70\) | −100.457 | − | 18.3291i | −0.171528 | − | 0.0312963i | ||||
\(71\) | −306.770 | − | 70.0182i | −0.512773 | − | 0.117037i | −0.0416979 | − | 0.999130i | \(-0.513277\pi\) |
−0.471075 | + | 0.882093i | \(0.656134\pi\) | |||||||
\(72\) | 64.7425 | − | 113.449i | 0.105972 | − | 0.185696i | ||||
\(73\) | −263.143 | + | 103.276i | −0.421899 | + | 0.165583i | −0.566786 | − | 0.823865i | \(-0.691813\pi\) |
0.144887 | + | 0.989448i | \(0.453718\pi\) | |||||||
\(74\) | −32.6777 | + | 12.8251i | −0.0513339 | + | 0.0201471i | ||||
\(75\) | 115.861 | − | 1052.03i | 0.178380 | − | 1.61971i | ||||
\(76\) | −837.680 | − | 191.195i | −1.26432 | − | 0.288573i | ||||
\(77\) | 408.166 | + | 297.144i | 0.604089 | + | 0.439775i | ||||
\(78\) | −80.0190 | − | 14.9324i | −0.116159 | − | 0.0216764i | ||||
\(79\) | 52.8640 | + | 91.5632i | 0.0752870 | + | 0.130401i | 0.901211 | − | 0.433381i | \(-0.142679\pi\) |
−0.825924 | + | 0.563781i | \(0.809346\pi\) | |||||||
\(80\) | −560.107 | + | 970.135i | −0.782774 | + | 1.35580i | ||||
\(81\) | −259.504 | + | 681.248i | −0.355972 | + | 0.934496i | ||||
\(82\) | −140.229 | + | 10.5087i | −0.188850 | + | 0.0141524i | ||||
\(83\) | −280.931 | + | 352.277i | −0.371521 | + | 0.465872i | −0.932085 | − | 0.362238i | \(-0.882013\pi\) |
0.560565 | + | 0.828110i | \(0.310584\pi\) | |||||||
\(84\) | −688.568 | − | 323.962i | −0.894393 | − | 0.420800i | ||||
\(85\) | 960.840 | + | 1204.86i | 1.22609 | + | 1.53747i | ||||
\(86\) | 68.1814 | + | 73.4821i | 0.0854906 | + | 0.0921369i | ||||
\(87\) | −1295.34 | − | 343.602i | −1.59627 | − | 0.423425i | ||||
\(88\) | −108.967 | + | 74.2923i | −0.131999 | + | 0.0899953i | ||||
\(89\) | −1028.52 | − | 155.025i | −1.22498 | − | 0.184636i | −0.495482 | − | 0.868618i | \(-0.665008\pi\) |
−0.729499 | + | 0.683982i | \(0.760247\pi\) | |||||||
\(90\) | −53.6919 | + | 138.851i | −0.0628847 | + | 0.162625i | ||||
\(91\) | −100.620 | + | 948.656i | −0.115911 | + | 1.09282i | ||||
\(92\) | −97.7877 | + | 203.058i | −0.110816 | + | 0.230112i | ||||
\(93\) | −106.921 | − | 169.220i | −0.119218 | − | 0.188680i | ||||
\(94\) | −38.3470 | + | 41.3283i | −0.0420765 | + | 0.0453477i | ||||
\(95\) | 1964.46 | + | 147.216i | 2.12157 | + | 0.158989i | ||||
\(96\) | 210.718 | − | 211.779i | 0.224024 | − | 0.225152i | ||||
\(97\) | − | 214.821i | − | 0.224863i | −0.993659 | − | 0.112432i | \(-0.964136\pi\) | ||
0.993659 | − | 0.112432i | \(-0.0358639\pi\) | |||||||
\(98\) | 36.8395 | − | 97.5936i | 0.0379730 | − | 0.100596i | ||||
\(99\) | 537.028 | − | 503.332i | 0.545186 | − | 0.510978i | ||||
\(100\) | 588.442 | − | 1499.33i | 0.588442 | − | 1.49933i | ||||
\(101\) | 87.7814 | − | 1171.36i | 0.0864809 | − | 1.15401i | −0.770075 | − | 0.637953i | \(-0.779781\pi\) |
0.856556 | − | 0.516054i | \(-0.172600\pi\) | |||||||
\(102\) | −54.0255 | − | 122.984i | −0.0524443 | − | 0.119385i | ||||
\(103\) | −375.857 | + | 551.281i | −0.359556 | + | 0.527372i | −0.962811 | − | 0.270177i | \(-0.912918\pi\) |
0.603255 | + | 0.797549i | \(0.293870\pi\) | |||||||
\(104\) | −224.521 | − | 108.123i | −0.211693 | − | 0.101946i | ||||
\(105\) | 1671.77 | + | 499.168i | 1.55379 | + | 0.463941i | ||||
\(106\) | 80.6620 | − | 38.8448i | 0.0739112 | − | 0.0355938i | ||||
\(107\) | 59.1189 | − | 392.228i | 0.0534135 | − | 0.354375i | −0.946120 | − | 0.323818i | \(-0.895034\pi\) |
0.999533 | − | 0.0305577i | \(-0.00972833\pi\) | |||||||
\(108\) | −652.037 | + | 897.552i | −0.580947 | + | 0.799695i | ||||
\(109\) | 1275.95 | − | 192.319i | 1.12123 | − | 0.168999i | 0.437842 | − | 0.899052i | \(-0.355743\pi\) |
0.683390 | + | 0.730053i | \(0.260505\pi\) | |||||||
\(110\) | 110.183 | − | 102.235i | 0.0955045 | − | 0.0886153i | ||||
\(111\) | 578.948 | − | 156.688i | 0.495057 | − | 0.133983i | ||||
\(112\) | −872.235 | − | 740.762i | −0.735879 | − | 0.624959i | ||||
\(113\) | 753.352 | + | 600.778i | 0.627163 | + | 0.500146i | 0.884723 | − | 0.466117i | \(-0.154347\pi\) |
−0.257561 | + | 0.966262i | \(0.582919\pi\) | |||||||
\(114\) | −162.218 | − | 56.3058i | −0.133273 | − | 0.0462590i | ||||
\(115\) | 152.309 | − | 493.773i | 0.123503 | − | 0.400387i | ||||
\(116\) | −1766.19 | − | 1019.71i | −1.41368 | − | 0.816189i | ||||
\(117\) | 1331.02 | + | 403.257i | 1.05174 | + | 0.318642i | ||||
\(118\) | 155.607 | − | 35.5162i | 0.121396 | − | 0.0277079i | ||||
\(119\) | −1387.00 | + | 744.674i | −1.06845 | + | 0.573648i | ||||
\(120\) | −269.714 | + | 367.376i | −0.205178 | + | 0.279473i | ||||
\(121\) | 561.751 | − | 173.277i | 0.422052 | − | 0.130186i | ||||
\(122\) | 76.3426 | + | 194.518i | 0.0566535 | + | 0.144351i | ||||
\(123\) | 2401.14 | + | 83.8069i | 1.76019 | + | 0.0614359i | ||||
\(124\) | −89.7874 | − | 291.083i | −0.0650253 | − | 0.210807i | ||||
\(125\) | −317.448 | + | 1390.83i | −0.227147 | + | 0.995198i | ||||
\(126\) | −129.693 | − | 79.4172i | −0.0916985 | − | 0.0561512i | ||||
\(127\) | 464.885 | + | 2036.79i | 0.324818 | + | 1.42312i | 0.828867 | + | 0.559445i | \(0.188986\pi\) |
−0.504050 | + | 0.863675i | \(0.668157\pi\) | |||||||
\(128\) | 523.921 | − | 302.486i | 0.361785 | − | 0.208877i | ||||
\(129\) | −1020.48 | − | 1375.46i | −0.696497 | − | 0.938777i | ||||
\(130\) | 271.394 | + | 83.7140i | 0.183099 | + | 0.0564785i | ||||
\(131\) | −117.404 | − | 1566.64i | −0.0783024 | − | 1.04487i | −0.888548 | − | 0.458783i | \(-0.848286\pi\) |
0.810246 | − | 0.586090i | \(-0.199333\pi\) | |||||||
\(132\) | 988.975 | − | 525.870i | 0.652115 | − | 0.346751i | ||||
\(133\) | −508.145 | + | 1947.18i | −0.331291 | + | 1.26949i | ||||
\(134\) | −58.6256 | + | 46.7523i | −0.0377946 | + | 0.0301402i | ||||
\(135\) | 1171.54 | − | 2257.67i | 0.746889 | − | 1.43933i | ||||
\(136\) | −61.2907 | − | 406.637i | −0.0386444 | − | 0.256389i | ||||
\(137\) | −345.472 | − | 506.714i | −0.215443 | − | 0.315996i | 0.703270 | − | 0.710923i | \(-0.251722\pi\) |
−0.918713 | + | 0.394926i | \(0.870770\pi\) | |||||||
\(138\) | −23.8673 | + | 38.1972i | −0.0147226 | + | 0.0235621i | ||||
\(139\) | −1050.32 | − | 2181.00i | −0.640910 | − | 1.33086i | −0.927864 | − | 0.372920i | \(-0.878357\pi\) |
0.286953 | − | 0.957945i | \(-0.407358\pi\) | |||||||
\(140\) | 2257.30 | + | 1397.88i | 1.36269 | + | 0.843877i | ||||
\(141\) | 728.539 | − | 630.150i | 0.435135 | − | 0.376370i | ||||
\(142\) | −79.0677 | − | 53.9074i | −0.0467269 | − | 0.0318578i | ||||
\(143\) | −1029.34 | − | 955.087i | −0.601942 | − | 0.558520i | ||||
\(144\) | −1299.09 | + | 1046.70i | −0.751786 | + | 0.605731i | ||||
\(145\) | 4352.62 | + | 1708.28i | 2.49287 | + | 0.978378i | ||||
\(146\) | −85.9716 | −0.0487333 | ||||||||
\(147\) | −808.172 | + | 1588.52i | −0.453448 | + | 0.891283i | ||||
\(148\) | 912.740 | 0.506938 | ||||||||
\(149\) | −3025.60 | − | 1187.46i | −1.66353 | − | 0.652889i | −0.667729 | − | 0.744404i | \(-0.732734\pi\) |
−0.995804 | + | 0.0915155i | \(0.970829\pi\) | |||||||
\(150\) | 149.692 | − | 284.961i | 0.0814819 | − | 0.155113i | ||||
\(151\) | 282.104 | + | 261.754i | 0.152035 | + | 0.141068i | 0.752523 | − | 0.658566i | \(-0.228837\pi\) |
−0.600488 | + | 0.799634i | \(0.705027\pi\) | |||||||
\(152\) | −434.337 | − | 296.126i | −0.231773 | − | 0.158020i | ||||
\(153\) | 687.486 | + | 2189.67i | 0.363267 | + | 1.15702i | ||||
\(154\) | 82.5374 | + | 129.473i | 0.0431887 | + | 0.0677485i | ||||
\(155\) | 303.026 | + | 629.240i | 0.157030 | + | 0.326076i | ||||
\(156\) | 1794.89 | + | 1121.53i | 0.921194 | + | 0.575603i | ||||
\(157\) | −1427.60 | − | 2093.91i | −0.725701 | − | 1.06441i | −0.994855 | − | 0.101311i | \(-0.967696\pi\) |
0.269153 | − | 0.963097i | \(-0.413256\pi\) | |||||||
\(158\) | 4.79240 | + | 31.7955i | 0.00241306 | + | 0.0160096i | ||||
\(159\) | −1442.52 | + | 508.830i | −0.719494 | + | 0.253792i | ||||
\(160\) | −814.953 | + | 649.903i | −0.402673 | + | 0.321121i | ||||
\(161\) | 468.289 | + | 243.600i | 0.229232 | + | 0.119245i | ||||
\(162\) | −149.160 | + | 164.030i | −0.0723400 | + | 0.0795519i | ||||
\(163\) | −28.3617 | − | 378.461i | −0.0136286 | − | 0.181861i | −0.999864 | − | 0.0165118i | \(-0.994744\pi\) |
0.986235 | − | 0.165349i | \(-0.0528752\pi\) | |||||||
\(164\) | 3493.85 | + | 1077.71i | 1.66356 | + | 0.513140i | ||||
\(165\) | −2062.43 | + | 1530.16i | −0.973089 | + | 0.721954i | ||||
\(166\) | −118.674 | + | 68.5163i | −0.0554872 | + | 0.0320355i | ||||
\(167\) | −337.252 | − | 1477.60i | −0.156271 | − | 0.684670i | −0.990984 | − | 0.133984i | \(-0.957223\pi\) |
0.834712 | − | 0.550687i | \(-0.185634\pi\) | |||||||
\(168\) | −319.740 | − | 338.410i | −0.146836 | − | 0.155410i | ||||
\(169\) | 101.531 | − | 444.835i | 0.0462133 | − | 0.202474i | ||||
\(170\) | 138.145 | + | 447.857i | 0.0623251 | + | 0.202053i | ||||
\(171\) | 2649.62 | + | 1259.64i | 1.18492 | + | 0.563314i | ||||
\(172\) | −952.207 | − | 2426.18i | −0.422123 | − | 1.07555i | ||||
\(173\) | 3915.54 | − | 1207.78i | 1.72077 | − | 0.530787i | 0.732138 | − | 0.681156i | \(-0.238523\pi\) |
0.988630 | + | 0.150369i | \(0.0480463\pi\) | |||||||
\(174\) | −328.538 | − | 241.200i | −0.143140 | − | 0.105088i | ||||
\(175\) | −3467.38 | − | 1485.93i | −1.49777 | − | 0.641862i | ||||
\(176\) | 1642.16 | − | 374.812i | 0.703308 | − | 0.160525i | ||||
\(177\) | −2709.07 | + | 312.130i | −1.15043 | + | 0.132549i | ||||
\(178\) | −273.953 | − | 158.167i | −0.115358 | − | 0.0666018i | ||||
\(179\) | −544.149 | + | 1764.09i | −0.227216 | + | 0.736615i | 0.768134 | + | 0.640289i | \(0.221185\pi\) |
−0.995350 | + | 0.0963263i | \(0.969291\pi\) | |||||||
\(180\) | 2618.50 | − | 2850.65i | 1.08428 | − | 1.18042i | ||||
\(181\) | −1066.13 | − | 850.213i | −0.437818 | − | 0.349148i | 0.379642 | − | 0.925134i | \(-0.376047\pi\) |
−0.817460 | + | 0.575985i | \(0.804619\pi\) | |||||||
\(182\) | −133.891 | + | 257.387i | −0.0545310 | + | 0.104829i | ||||
\(183\) | −932.702 | − | 3446.25i | −0.376761 | − | 1.39210i | ||||
\(184\) | −101.079 | + | 93.7877i | −0.0404981 | + | 0.0375767i | ||||
\(185\) | −2069.29 | + | 311.895i | −0.822364 | + | 0.123951i | ||||
\(186\) | −11.4678 | − | 59.7866i | −0.00452076 | − | 0.0235686i | ||||
\(187\) | 345.360 | − | 2291.31i | 0.135055 | − | 0.896029i | ||||
\(188\) | 1320.71 | − | 636.022i | 0.512356 | − | 0.246738i | ||||
\(189\) | 2054.03 | + | 1591.30i | 0.790521 | + | 0.612434i | ||||
\(190\) | 539.786 | + | 259.947i | 0.206106 | + | 0.0992555i | ||||
\(191\) | −1185.93 | + | 1739.45i | −0.449273 | + | 0.658963i | −0.982339 | − | 0.187111i | \(-0.940087\pi\) |
0.533066 | + | 0.846074i | \(0.321040\pi\) | |||||||
\(192\) | −2268.43 | + | 996.493i | −0.852654 | + | 0.374561i | ||||
\(193\) | −320.793 | + | 4280.69i | −0.119643 | + | 1.59653i | 0.537830 | + | 0.843053i | \(0.319244\pi\) |
−0.657474 | + | 0.753478i | \(0.728375\pi\) | |||||||
\(194\) | 23.8687 | − | 60.8164i | 0.00883335 | − | 0.0225070i | ||||
\(195\) | −4452.47 | − | 1929.30i | −1.63512 | − | 0.708513i | ||||
\(196\) | −1818.70 | + | 2012.16i | −0.662791 | + | 0.733293i | ||||
\(197\) | − | 2715.19i | − | 0.981976i | −0.871166 | − | 0.490988i | \(-0.836636\pi\) | ||
0.871166 | − | 0.490988i | \(-0.163364\pi\) | |||||||
\(198\) | 207.959 | − | 82.8257i | 0.0746416 | − | 0.0297281i | ||||
\(199\) | −938.098 | − | 70.3007i | −0.334171 | − | 0.0250426i | −0.0934117 | − | 0.995628i | \(-0.529777\pi\) |
−0.240759 | + | 0.970585i | \(0.577396\pi\) | |||||||
\(200\) | 670.256 | − | 722.364i | 0.236971 | − | 0.255394i | ||||
\(201\) | 1083.07 | − | 684.338i | 0.380069 | − | 0.240147i | ||||
\(202\) | 155.001 | − | 321.862i | 0.0539892 | − | 0.112110i | ||||
\(203\) | −2514.82 | + | 4060.93i | −0.869488 | + | 1.40405i | ||||
\(204\) | 139.357 | + | 3489.84i | 0.0478282 | + | 1.19773i | ||||
\(205\) | −8289.24 | − | 1249.40i | −2.82412 | − | 0.425668i | ||||
\(206\) | −167.659 | + | 114.308i | −0.0567055 | + | 0.0386612i | ||||
\(207\) | 476.777 | − | 604.058i | 0.160088 | − | 0.202826i | ||||
\(208\) | 2164.81 | + | 2333.11i | 0.721647 | + | 0.777750i | ||||
\(209\) | −1846.84 | − | 2315.86i | −0.611236 | − | 0.766466i | ||||
\(210\) | 417.820 | + | 327.066i | 0.137297 | + | 0.107475i | ||||
\(211\) | 842.011 | − | 1055.85i | 0.274723 | − | 0.344491i | −0.625260 | − | 0.780416i | \(-0.715007\pi\) |
0.899983 | + | 0.435925i | \(0.143579\pi\) | |||||||
\(212\) | −2321.29 | + | 173.957i | −0.752014 | + | 0.0563556i | ||||
\(213\) | 1241.97 | + | 1063.38i | 0.399523 | + | 0.342075i | ||||
\(214\) | 60.3171 | − | 104.472i | 0.0192673 | − | 0.0333719i | ||||
\(215\) | 2987.83 | + | 5175.07i | 0.947758 | + | 1.64157i | ||||
\(216\) | −571.966 | + | 365.429i | −0.180173 | + | 0.115112i | ||||
\(217\) | −687.916 | + | 189.149i | −0.215202 | + | 0.0591716i | ||||
\(218\) | 382.595 | + | 87.3248i | 0.118865 | + | 0.0271302i | ||||
\(219\) | 1460.04 | + | 160.795i | 0.450505 | + | 0.0496144i | ||||
\(220\) | −3637.94 | + | 1427.79i | −1.11486 | + | 0.437551i | ||||
\(221\) | 4075.79 | − | 1599.63i | 1.24058 | − | 0.486890i | ||||
\(222\) | 181.311 | + | 19.9679i | 0.0548145 | + | 0.00603675i | ||||
\(223\) | 1606.92 | + | 366.769i | 0.482544 | + | 0.110138i | 0.456871 | − | 0.889533i | \(-0.348970\pi\) |
0.0256731 | + | 0.999670i | \(0.491827\pi\) | |||||||
\(224\) | −503.690 | − | 938.152i | −0.150242 | − | 0.279834i | ||||
\(225\) | −3075.17 | + | 4559.47i | −0.911160 | + | 1.35095i | ||||
\(226\) | 146.524 | + | 253.787i | 0.0431266 | + | 0.0746975i | ||||
\(227\) | −2265.31 | + | 3923.63i | −0.662351 | + | 1.14723i | 0.317645 | + | 0.948210i | \(0.397108\pi\) |
−0.979996 | + | 0.199016i | \(0.936225\pi\) | |||||||
\(228\) | 3391.38 | + | 2903.73i | 0.985087 | + | 0.843439i | ||||
\(229\) | −5615.32 | + | 420.810i | −1.62040 | + | 0.121432i | −0.853766 | − | 0.520656i | \(-0.825687\pi\) |
−0.766631 | + | 0.642088i | \(0.778068\pi\) | |||||||
\(230\) | 97.9819 | − | 122.865i | 0.0280902 | − | 0.0352240i | ||||
\(231\) | −1159.56 | − | 2353.20i | −0.330275 | − | 0.670257i | ||||
\(232\) | −777.953 | − | 975.522i | −0.220151 | − | 0.276061i | ||||
\(233\) | −395.637 | − | 426.395i | −0.111240 | − | 0.119889i | 0.674977 | − | 0.737839i | \(-0.264154\pi\) |
−0.786217 | + | 0.617950i | \(0.787963\pi\) | |||||||
\(234\) | 332.011 | + | 262.053i | 0.0927530 | + | 0.0732090i | ||||
\(235\) | −2776.88 | + | 1893.24i | −0.770824 | + | 0.525539i | ||||
\(236\) | −4103.59 | − | 618.516i | −1.13187 | − | 0.170602i | ||||
\(237\) | −21.9205 | − | 548.942i | −0.00600797 | − | 0.150454i | ||||
\(238\) | −475.403 | + | 56.7105i | −0.129478 | + | 0.0154454i | ||||
\(239\) | −72.3809 | + | 150.301i | −0.0195897 | + | 0.0406784i | −0.910534 | − | 0.413434i | \(-0.864329\pi\) |
0.890944 | + | 0.454112i | \(0.150044\pi\) | |||||||
\(240\) | 4920.83 | − | 3109.22i | 1.32349 | − | 0.836248i | ||||
\(241\) | 771.462 | − | 831.438i | 0.206200 | − | 0.222231i | −0.621481 | − | 0.783429i | \(-0.713469\pi\) |
0.827682 | + | 0.561198i | \(0.189659\pi\) | |||||||
\(242\) | 178.286 | + | 13.3607i | 0.0473581 | + | 0.00354900i | ||||
\(243\) | 2839.94 | − | 2506.72i | 0.749722 | − | 0.661753i | ||||
\(244\) | − | 5433.19i | − | 1.42551i | ||||||
\(245\) | 3435.63 | − | 5183.27i | 0.895894 | − | 1.35162i | ||||
\(246\) | 670.458 | + | 290.516i | 0.173768 | + | 0.0752952i | ||||
\(247\) | 2044.82 | − | 5210.12i | 0.526757 | − | 1.34215i | ||||
\(248\) | 13.9272 | − | 185.846i | 0.00356605 | − | 0.0475857i | ||||
\(249\) | 2143.57 | − | 941.643i | 0.545554 | − | 0.239655i | ||||
\(250\) | −244.405 | + | 358.477i | −0.0618302 | + | 0.0906882i | ||||
\(251\) | 3706.03 | + | 1784.73i | 0.931963 | + | 0.448810i | 0.837327 | − | 0.546702i | \(-0.184117\pi\) |
0.0946358 | + | 0.995512i | \(0.469831\pi\) | |||||||
\(252\) | 2384.63 | + | 3154.15i | 0.596102 | + | 0.788463i | ||||
\(253\) | −700.025 | + | 337.114i | −0.173953 | + | 0.0837715i | ||||
\(254\) | −94.6973 | + | 628.275i | −0.0233930 | + | 0.155203i | ||||
\(255\) | −1508.46 | − | 7864.26i | −0.370446 | − | 1.93129i | ||||
\(256\) | −3590.06 | + | 541.114i | −0.876478 | + | 0.132108i | ||||
\(257\) | −2091.82 | + | 1940.92i | −0.507719 | + | 0.471095i | −0.891945 | − | 0.452145i | \(-0.850659\pi\) |
0.384225 | + | 0.923239i | \(0.374469\pi\) | |||||||
\(258\) | −136.074 | − | 502.781i | −0.0328356 | − | 0.121325i | ||||
\(259\) | 65.9844 | − | 2136.72i | 0.0158304 | − | 0.512623i | ||||
\(260\) | −5773.46 | − | 4604.18i | −1.37713 | − | 1.09823i | ||||
\(261\) | 5128.38 | + | 4710.73i | 1.21624 | + | 1.11719i | ||||
\(262\) | 140.832 | − | 456.566i | 0.0332085 | − | 0.107659i | ||||
\(263\) | −2849.11 | − | 1644.93i | −0.667999 | − | 0.385669i | 0.127319 | − | 0.991862i | \(-0.459363\pi\) |
−0.795318 | + | 0.606193i | \(0.792696\pi\) | |||||||
\(264\) | 680.780 | − | 78.4372i | 0.158709 | − | 0.0182859i | ||||
\(265\) | 5203.20 | − | 1187.60i | 1.20615 | − | 0.275296i | ||||
\(266\) | −360.208 | + | 494.793i | −0.0830292 | + | 0.114052i | ||||
\(267\) | 4356.68 | + | 3198.51i | 0.998594 | + | 0.733129i | ||||
\(268\) | 1863.05 | − | 574.674i | 0.424641 | − | 0.130984i | ||||
\(269\) | 156.697 | + | 399.259i | 0.0355168 | + | 0.0904953i | 0.947532 | − | 0.319662i | \(-0.103569\pi\) |
−0.912015 | + | 0.410157i | \(0.865474\pi\) | |||||||
\(270\) | 582.515 | − | 508.983i | 0.131299 | − | 0.114725i | ||||
\(271\) | 153.780 | + | 498.541i | 0.0344703 | + | 0.111750i | 0.971173 | − | 0.238376i | \(-0.0766150\pi\) |
−0.936703 | + | 0.350126i | \(0.886139\pi\) | |||||||
\(272\) | −1168.72 | + | 5120.49i | −0.260529 | + | 1.14145i | ||||
\(273\) | 2755.25 | − | 4120.75i | 0.610825 | − | 0.913550i | ||||
\(274\) | −41.5032 | − | 181.837i | −0.00915073 | − | 0.0400920i | ||||
\(275\) | 4808.72 | − | 2776.32i | 1.05446 | − | 0.608793i | ||||
\(276\) | 940.512 | − | 697.785i | 0.205117 | − | 0.152180i | ||||
\(277\) | 2785.26 | + | 859.140i | 0.604153 | + | 0.186356i | 0.581716 | − | 0.813392i | \(-0.302381\pi\) |
0.0224366 | + | 0.999748i | \(0.492858\pi\) | |||||||
\(278\) | −55.0168 | − | 734.148i | −0.0118694 | − | 0.158386i | ||||
\(279\) | 82.9354 | + | 1036.79i | 0.0177965 | + | 0.222478i | ||||
\(280\) | 973.118 | + | 1300.67i | 0.207696 | + | 0.277606i | ||||
\(281\) | −3876.74 | + | 3091.60i | −0.823014 | + | 0.656332i | −0.941645 | − | 0.336607i | \(-0.890721\pi\) |
0.118631 | + | 0.992938i | \(0.462149\pi\) | |||||||
\(282\) | 276.267 | − | 97.4495i | 0.0583386 | − | 0.0205781i | ||||
\(283\) | 1297.76 | + | 8610.05i | 0.272592 | + | 1.80853i | 0.536409 | + | 0.843958i | \(0.319780\pi\) |
−0.263817 | + | 0.964573i | \(0.584982\pi\) | |||||||
\(284\) | 1401.63 | + | 2055.82i | 0.292858 | + | 0.429544i | ||||
\(285\) | −8680.91 | − | 5424.22i | −1.80426 | − | 1.12738i | ||||
\(286\) | −185.289 | − | 384.758i | −0.0383091 | − | 0.0795496i | ||||
\(287\) | 2775.49 | − | 8101.17i | 0.570843 | − | 1.66619i | ||||
\(288\) | −1481.07 | + | 465.009i | −0.303031 | + | 0.0951421i | ||||
\(289\) | 1910.56 | + | 1302.60i | 0.388878 | + | 0.265133i | ||||
\(290\) | 1042.43 | + | 967.237i | 0.211082 | + | 0.195856i | ||||
\(291\) | −519.105 | + | 988.193i | −0.104572 | + | 0.199068i | ||||
\(292\) | 2080.81 | + | 816.657i | 0.417021 | + | 0.163669i | ||||
\(293\) | −1019.76 | −0.203327 | −0.101664 | − | 0.994819i | \(-0.532417\pi\) | ||||
−0.101664 | + | 0.994819i | \(0.532417\pi\) | |||||||
\(294\) | −405.295 | + | 359.917i | −0.0803990 | + | 0.0713973i | ||||
\(295\) | 9514.68 | 1.87785 | ||||||||
\(296\) | 519.821 | + | 204.015i | 0.102074 | + | 0.0400612i | ||||
\(297\) | −3686.65 | + | 1017.66i | −0.720274 | + | 0.198824i | ||||
\(298\) | −724.616 | − | 672.346i | −0.140859 | − | 0.130698i | ||||
\(299\) | −1213.02 | − | 827.023i | −0.234618 | − | 0.159960i | ||||
\(300\) | −6329.94 | + | 5475.08i | −1.21820 | + | 1.05368i | ||||
\(301\) | −5748.52 | + | 2053.72i | −1.10079 | + | 0.393270i | ||||
\(302\) | 50.7810 | + | 105.448i | 0.00967589 | + | 0.0200922i | ||||
\(303\) | −3234.34 | + | 5176.24i | −0.613228 | + | 0.981409i | ||||
\(304\) | 3782.08 | + | 5547.29i | 0.713543 | + | 1.04658i | ||||
\(305\) | 1856.59 | + | 12317.7i | 0.348551 | + | 2.31249i | ||||
\(306\) | −48.6642 | + | 696.288i | −0.00909134 | + | 0.130079i | ||||
\(307\) | 3146.10 | − | 2508.93i | 0.584877 | − | 0.466424i | −0.285793 | − | 0.958291i | \(-0.592257\pi\) |
0.870670 | + | 0.491868i | \(0.163686\pi\) | |||||||
\(308\) | −767.802 | − | 3917.74i | −0.142044 | − | 0.724785i | ||||
\(309\) | 3061.12 | − | 1627.70i | 0.563563 | − | 0.299665i | ||||
\(310\) | 15.8729 | + | 211.809i | 0.00290812 | + | 0.0388062i | ||||
\(311\) | −7989.76 | − | 2464.51i | −1.45678 | − | 0.449356i | −0.537600 | − | 0.843200i | \(-0.680669\pi\) |
−0.919177 | + | 0.393844i | \(0.871145\pi\) | |||||||
\(312\) | 771.538 | + | 1039.92i | 0.139999 | + | 0.188699i | ||||
\(313\) | −2046.55 | + | 1181.58i | −0.369578 | + | 0.213376i | −0.673274 | − | 0.739393i | \(-0.735113\pi\) |
0.303696 | + | 0.952769i | \(0.401779\pi\) | |||||||
\(314\) | −171.505 | − | 751.412i | −0.0308235 | − | 0.135047i | ||||
\(315\) | −6484.06 | − | 6335.97i | −1.15979 | − | 1.13331i | ||||
\(316\) | 186.038 | − | 815.084i | 0.0331185 | − | 0.145101i | ||||
\(317\) | −431.124 | − | 1397.67i | −0.0763859 | − | 0.247637i | 0.909324 | − | 0.416089i | \(-0.136599\pi\) |
−0.985710 | + | 0.168452i | \(0.946123\pi\) | |||||||
\(318\) | −464.919 | − | 16.2270i | −0.0819854 | − | 0.00286153i | ||||
\(319\) | −2568.62 | − | 6544.73i | −0.450831 | − | 1.14870i | ||||
\(320\) | 8260.65 | − | 2548.07i | 1.44308 | − | 0.445130i | ||||
\(321\) | −1219.75 | + | 1661.42i | −0.212087 | + | 0.288884i | ||||
\(322\) | 105.508 | + | 120.995i | 0.0182600 | + | 0.0209404i | ||||
\(323\) | 9004.68 | − | 2055.26i | 1.55119 | − | 0.354049i | ||||
\(324\) | 5168.32 | − | 2553.20i | 0.886200 | − | 0.437791i | ||||
\(325\) | 9086.31 | + | 5245.99i | 1.55082 | + | 0.895369i | ||||
\(326\) | 34.0214 | − | 110.295i | 0.00577998 | − | 0.0187382i | ||||
\(327\) | −6334.23 | − | 2198.60i | −1.07120 | − | 0.371814i | ||||
\(328\) | 1748.92 | + | 1394.71i | 0.294414 | + | 0.234787i | ||||
\(329\) | −1393.45 | − | 3137.76i | −0.233505 | − | 0.525807i | ||||
\(330\) | −753.894 | + | 204.036i | −0.125759 | + | 0.0340358i | ||||
\(331\) | −1712.51 | + | 1588.97i | −0.284374 | + | 0.263861i | −0.809442 | − | 0.587200i | \(-0.800230\pi\) |
0.525068 | + | 0.851060i | \(0.324040\pi\) | |||||||
\(332\) | 3523.16 | − | 531.031i | 0.582405 | − | 0.0877834i | ||||
\(333\) | −3041.84 | − | 678.225i | −0.500575 | − | 0.111611i | ||||
\(334\) | 68.6984 | − | 455.784i | 0.0112545 | − | 0.0746688i | ||||
\(335\) | −4027.38 | + | 1939.48i | −0.656833 | + | 0.316314i | ||||
\(336\) | 2222.33 | + | 5515.28i | 0.360828 | + | 0.895486i | ||||
\(337\) | 3315.98 | + | 1596.89i | 0.536002 | + | 0.258125i | 0.682245 | − | 0.731124i | \(-0.261004\pi\) |
−0.146243 | + | 0.989249i | \(0.546718\pi\) | |||||||
\(338\) | 78.1691 | − | 114.653i | 0.0125794 | − | 0.0184506i | ||||
\(339\) | −2013.73 | − | 4584.07i | −0.322627 | − | 0.734432i | ||||
\(340\) | 910.661 | − | 12151.9i | 0.145257 | − | 1.93833i | ||||
\(341\) | 383.659 | − | 977.547i | 0.0609276 | − | 0.155241i | ||||
\(342\) | 610.157 | + | 651.005i | 0.0964722 | + | 0.102931i | ||||
\(343\) | 4578.97 | + | 4403.03i | 0.720819 | + | 0.693123i | ||||
\(344\) | − | 1594.59i | − | 0.249926i | ||||||
\(345\) | −1893.81 | + | 1903.35i | −0.295534 | + | 0.297022i | ||||
\(346\) | 1242.70 | + | 93.1272i | 0.193086 | + | 0.0144698i | ||||
\(347\) | −3000.41 | + | 3233.67i | −0.464180 | + | 0.500267i | −0.921146 | − | 0.389217i | \(-0.872746\pi\) |
0.456966 | + | 0.889484i | \(0.348936\pi\) | |||||||
\(348\) | 5660.55 | + | 8958.69i | 0.871946 | + | 1.37999i | ||||
\(349\) | −1517.20 | + | 3150.50i | −0.232705 | + | 0.483217i | −0.984322 | − | 0.176384i | \(-0.943560\pi\) |
0.751617 | + | 0.659600i | \(0.229274\pi\) | |||||||
\(350\) | −816.523 | − | 805.930i | −0.124700 | − | 0.123082i | ||||
\(351\) | −5148.36 | − | 5071.37i | −0.782904 | − | 0.771196i | ||||
\(352\) | 1549.82 | + | 233.598i | 0.234676 | + | 0.0353717i | ||||
\(353\) | 4104.36 | − | 2798.30i | 0.618846 | − | 0.421922i | −0.212903 | − | 0.977073i | \(-0.568292\pi\) |
0.831750 | + | 0.555151i | \(0.187340\pi\) | |||||||
\(354\) | −801.626 | − | 212.639i | −0.120356 | − | 0.0319255i | ||||
\(355\) | −3880.17 | − | 4181.83i | −0.580108 | − | 0.625208i | ||||
\(356\) | 5128.16 | + | 6430.50i | 0.763460 | + | 0.957348i | ||||
\(357\) | 8179.76 | − | 73.9447i | 1.21266 | − | 0.0109624i | ||||
\(358\) | −350.057 | + | 438.958i | −0.0516791 | + | 0.0648035i | ||||
\(359\) | 3152.26 | − | 236.229i | 0.463426 | − | 0.0347290i | 0.159028 | − | 0.987274i | \(-0.449164\pi\) |
0.304398 | + | 0.952545i | \(0.401545\pi\) | |||||||
\(360\) | 2128.45 | − | 1038.21i | 0.311609 | − | 0.151996i | ||||
\(361\) | 2473.90 | − | 4284.92i | 0.360680 | − | 0.624715i | ||||
\(362\) | −207.359 | − | 359.156i | −0.0301064 | − | 0.0521459i | ||||
\(363\) | −3002.82 | − | 560.357i | −0.434179 | − | 0.0810224i | ||||
\(364\) | 5685.58 | − | 4957.81i | 0.818696 | − | 0.713901i | ||||
\(365\) | −4996.51 | − | 1140.42i | −0.716518 | − | 0.163541i | ||||
\(366\) | 118.861 | − | 1079.28i | 0.0169754 | − | 0.154138i | ||||
\(367\) | 5926.58 | − | 2326.01i | 0.842956 | − | 0.330836i | 0.0957310 | − | 0.995407i | \(-0.469481\pi\) |
0.747225 | + | 0.664572i | \(0.231386\pi\) | |||||||
\(368\) | 1639.35 | − | 643.397i | 0.232220 | − | 0.0911396i | ||||
\(369\) | −10842.9 | − | 6187.77i | −1.52970 | − | 0.872961i | ||||
\(370\) | −620.477 | − | 141.620i | −0.0871812 | − | 0.0198985i | ||||
\(371\) | 239.419 | + | 5446.71i | 0.0335041 | + | 0.762207i | ||||
\(372\) | −290.361 | + | 1555.97i | −0.0404691 | + | 0.216864i | ||||
\(373\) | 2671.45 | + | 4627.08i | 0.370837 | + | 0.642309i | 0.989695 | − | 0.143194i | \(-0.0457374\pi\) |
−0.618857 | + | 0.785503i | \(0.712404\pi\) | |||||||
\(374\) | 352.359 | − | 610.304i | 0.0487168 | − | 0.0843799i | ||||
\(375\) | 4821.17 | − | 5630.84i | 0.663904 | − | 0.775401i | ||||
\(376\) | 894.332 | − | 67.0209i | 0.122664 | − | 0.00919239i | ||||
\(377\) | 8283.02 | − | 10386.6i | 1.13156 | − | 1.41893i | ||||
\(378\) | 404.692 | + | 678.724i | 0.0550665 | + | 0.0923540i | ||||
\(379\) | 471.925 | + | 591.775i | 0.0639608 | + | 0.0802043i | 0.812783 | − | 0.582567i | \(-0.197952\pi\) |
−0.748822 | + | 0.662771i | \(0.769380\pi\) | |||||||
\(380\) | −10595.4 | − | 11419.1i | −1.43035 | − | 1.54155i | ||||
\(381\) | 2783.31 | − | 10492.8i | 0.374261 | − | 1.41092i | ||||
\(382\) | −529.010 | + | 360.673i | −0.0708548 | + | 0.0483080i | ||||
\(383\) | −813.016 | − | 122.542i | −0.108468 | − | 0.0163489i | 0.0945840 | − | 0.995517i | \(-0.469848\pi\) |
−0.203052 | + | 0.979168i | \(0.565086\pi\) | |||||||
\(384\) | −3141.02 | + | 125.428i | −0.417421 | + | 0.0166686i | ||||
\(385\) | 3079.44 | + | 8619.61i | 0.407644 | + | 1.14103i | ||||
\(386\) | −566.443 | + | 1176.23i | −0.0746922 | + | 0.155100i | ||||
\(387\) | 1370.55 | + | 8793.15i | 0.180024 | + | 1.15499i | ||||
\(388\) | −1155.41 | + | 1245.23i | −0.151178 | + | 0.162931i | ||||
\(389\) | −2861.94 | − | 214.473i | −0.373024 | − | 0.0279542i | −0.113100 | − | 0.993584i | \(-0.536078\pi\) |
−0.259923 | + | 0.965629i | \(0.583697\pi\) | |||||||
\(390\) | −1046.14 | − | 1040.90i | −0.135830 | − | 0.135149i | ||||
\(391\) | − | 2422.71i | − | 0.313354i | ||||||
\(392\) | −1485.53 | + | 739.444i | −0.191405 | + | 0.0952743i | ||||
\(393\) | −3245.66 | + | 7490.39i | −0.416595 | + | 0.961425i | ||||
\(394\) | 301.684 | − | 768.678i | 0.0385752 | − | 0.0982879i | ||||
\(395\) | −143.245 | + | 1911.47i | −0.0182466 | + | 0.243484i | ||||
\(396\) | −5820.10 | + | 29.2306i | −0.738564 | + | 0.00370932i | ||||
\(397\) | −7369.60 | + | 10809.2i | −0.931661 | + | 1.36650i | −0.00124201 | + | 0.999999i | \(0.500395\pi\) |
−0.930419 | + | 0.366497i | \(0.880557\pi\) | |||||||
\(398\) | −257.767 | − | 124.134i | −0.0324641 | − | 0.0156339i | ||||
\(399\) | 7042.79 | − | 7729.29i | 0.883660 | − | 0.969796i | ||||
\(400\) | −11339.3 | + | 5460.70i | −1.41741 | + | 0.682588i | ||||
\(401\) | −1239.19 | + | 8221.46i | −0.154319 | + | 1.02384i | 0.768845 | + | 0.639435i | \(0.220832\pi\) |
−0.923164 | + | 0.384406i | \(0.874406\pi\) | |||||||
\(402\) | 382.657 | − | 73.3984i | 0.0474756 | − | 0.00910642i | ||||
\(403\) | 1962.13 | − | 295.743i | 0.242532 | − | 0.0365559i | ||||
\(404\) | −6808.97 | + | 6317.80i | −0.838512 | + | 0.778025i | ||||
\(405\) | −10844.7 | + | 7554.48i | −1.33057 | + | 0.926877i | ||||
\(406\) | −1163.16 | + | 870.240i | −0.142184 | + | 0.106378i | ||||
\(407\) | 2460.10 | + | 1961.87i | 0.299614 | + | 0.238934i | ||||
\(408\) | −700.679 | + | 2018.67i | −0.0850215 | + | 0.244949i | ||||
\(409\) | 2354.98 | − | 7634.66i | 0.284710 | − | 0.923006i | −0.694385 | − | 0.719603i | \(-0.744324\pi\) |
0.979095 | − | 0.203403i | \(-0.0652002\pi\) | |||||||
\(410\) | −2207.89 | − | 1274.72i | −0.265950 | − | 0.153547i | ||||
\(411\) | 364.746 | + | 3165.74i | 0.0437752 | + | 0.379938i | ||||
\(412\) | 5143.75 | − | 1174.03i | 0.615083 | − | 0.140389i | ||||
\(413\) | −1744.60 | + | 9561.76i | −0.207860 | + | 1.13923i | ||||
\(414\) | 202.094 | − | 118.036i | 0.0239912 | − | 0.0140124i | ||||
\(415\) | −7805.96 | + | 2407.82i | −0.923324 | + | 0.284808i | ||||
\(416\) | 1081.97 | + | 2756.83i | 0.127520 | + | 0.324915i | ||||
\(417\) | −438.758 | + | 12570.8i | −0.0515254 | + | 1.47625i | ||||
\(418\) | −265.530 | − | 860.828i | −0.0310706 | − | 0.100728i | ||||
\(419\) | 1920.25 | − | 8413.15i | 0.223891 | − | 0.980929i | −0.730627 | − | 0.682776i | \(-0.760772\pi\) |
0.954518 | − | 0.298153i | \(-0.0963706\pi\) | |||||||
\(420\) | −7005.84 | − | 11885.0i | −0.813929 | − | 1.38079i | ||||
\(421\) | −2929.31 | − | 12834.1i | −0.339111 | − | 1.48574i | −0.800925 | − | 0.598764i | \(-0.795659\pi\) |
0.461815 | − | 0.886977i | \(-0.347199\pi\) | |||||||
\(422\) | 355.691 | − | 205.358i | 0.0410302 | − | 0.0236888i | ||||
\(423\) | −4874.07 | + | 1138.26i | −0.560249 | + | 0.130837i | ||||
\(424\) | −1360.90 | − | 419.781i | −0.155875 | − | 0.0480811i | ||||
\(425\) | 1293.87 | + | 17265.5i | 0.147675 | + | 1.97059i | ||||
\(426\) | 233.453 | + | 439.042i | 0.0265512 | + | 0.0499335i | ||||
\(427\) | −12719.1 | − | 392.780i | −1.44150 | − | 0.0445151i | ||||
\(428\) | −2452.28 | + | 1955.63i | −0.276952 | + | 0.220862i | ||||
\(429\) | 2427.12 | + | 6880.83i | 0.273152 | + | 0.774382i | ||||
\(430\) | 270.862 | + | 1797.05i | 0.0303770 | + | 0.201539i | ||||
\(431\) | −7951.76 | − | 11663.1i | −0.888684 | − | 1.30346i | −0.952199 | − | 0.305479i | \(-0.901183\pi\) |
0.0635146 | − | 0.997981i | \(-0.479769\pi\) | |||||||
\(432\) | 8505.21 | − | 1675.74i | 0.947239 | − | 0.186629i | ||||
\(433\) | 2570.16 | + | 5336.99i | 0.285251 | + | 0.592331i | 0.993526 | − | 0.113607i | \(-0.0362403\pi\) |
−0.708274 | + | 0.705937i | \(0.750526\pi\) | |||||||
\(434\) | −215.767 | − | 22.8856i | −0.0238644 | − | 0.00253121i | ||||
\(435\) | −15894.4 | − | 18376.1i | −1.75191 | − | 2.02544i | ||||
\(436\) | −8430.60 | − | 5747.89i | −0.926038 | − | 0.631362i | ||||
\(437\) | −2270.24 | − | 2106.48i | −0.248513 | − | 0.230587i | ||||
\(438\) | 395.477 | + | 207.747i | 0.0431429 | + | 0.0226633i | ||||
\(439\) | −122.752 | − | 48.1768i | −0.0133455 | − | 0.00523771i | 0.358659 | − | 0.933469i | \(-0.383234\pi\) |
−0.372004 | + | 0.928231i | \(0.621329\pi\) | |||||||
\(440\) | −2391.01 | −0.259061 | ||||||||
\(441\) | 7556.23 | − | 5354.39i | 0.815920 | − | 0.578165i | ||||
\(442\) | 1331.60 | 0.143298 | ||||||||
\(443\) | 8415.92 | + | 3303.01i | 0.902602 | + | 0.354245i | 0.770834 | − | 0.637036i | \(-0.219840\pi\) |
0.131767 | + | 0.991281i | \(0.457935\pi\) | |||||||
\(444\) | −4198.68 | − | 2205.60i | −0.448785 | − | 0.235750i | ||||
\(445\) | −13823.5 | − | 12826.4i | −1.47258 | − | 1.36635i | ||||
\(446\) | 414.172 | + | 282.378i | 0.0439723 | + | 0.0299798i | ||||
\(447\) | 11048.5 | + | 12773.6i | 1.16908 | + | 1.35161i | ||||
\(448\) | 1046.02 | + | 8768.74i | 0.110312 | + | 0.924741i | ||||
\(449\) | 4736.96 | + | 9836.41i | 0.497887 | + | 1.03387i | 0.986861 | + | 0.161574i | \(0.0516571\pi\) |
−0.488974 | + | 0.872298i | \(0.662629\pi\) | |||||||
\(450\) | −1377.19 | + | 949.118i | −0.144270 | + | 0.0994264i | ||||
\(451\) | 7100.49 | + | 10414.5i | 0.741351 | + | 1.08736i | ||||
\(452\) | −1135.62 | − | 7534.36i | −0.118175 | − | 0.784041i | ||||
\(453\) | −665.184 | − | 1885.78i | −0.0689913 | − | 0.195589i | ||||
\(454\) | −1077.27 | + | 859.093i | −0.111363 | + | 0.0888088i | ||||
\(455\) | −11195.7 | + | 13182.8i | −1.15355 | + | 1.35828i | ||||
\(456\) | 1282.41 | + | 2411.76i | 0.131698 | + | 0.247678i | ||||
\(457\) | 295.389 | + | 3941.69i | 0.0302357 | + | 0.403467i | 0.991703 | + | 0.128548i | \(0.0410318\pi\) |
−0.961468 | + | 0.274918i | \(0.911349\pi\) | |||||||
\(458\) | −1636.47 | − | 504.784i | −0.166959 | − | 0.0515000i | ||||
\(459\) | 2128.75 | − | 11733.9i | 0.216474 | − | 1.19323i | ||||
\(460\) | −3538.62 | + | 2043.02i | −0.358671 | + | 0.207079i | ||||
\(461\) | −1744.77 | − | 7644.33i | −0.176273 | − | 0.772304i | −0.983330 | − | 0.181830i | \(-0.941798\pi\) |
0.807057 | − | 0.590474i | \(-0.201059\pi\) | |||||||
\(462\) | −66.8121 | − | 795.037i | −0.00672810 | − | 0.0800616i | ||||
\(463\) | 1412.24 | − | 6187.44i | 0.141755 | − | 0.621068i | −0.853272 | − | 0.521465i | \(-0.825386\pi\) |
0.995027 | − | 0.0996030i | \(-0.0317573\pi\) | |||||||
\(464\) | 4697.20 | + | 15227.9i | 0.469961 | + | 1.52358i | ||||
\(465\) | 126.586 | − | 3626.80i | 0.0126243 | − | 0.361697i | ||||
\(466\) | −64.6292 | − | 164.673i | −0.00642466 | − | 0.0163698i | ||||
\(467\) | 1219.35 | − | 376.119i | 0.120824 | − | 0.0372692i | −0.233754 | − | 0.972296i | \(-0.575101\pi\) |
0.354577 | + | 0.935027i | \(0.384625\pi\) | |||||||
\(468\) | −5546.52 | − | 9496.39i | −0.547838 | − | 0.937972i | ||||
\(469\) | −1210.62 | − | 4402.93i | −0.119193 | − | 0.433493i | ||||
\(470\) | −996.500 | + | 227.445i | −0.0977981 | + | 0.0223218i | ||||
\(471\) | 1507.25 | + | 13081.9i | 0.147453 | + | 1.27979i | ||||
\(472\) | −2198.81 | − | 1269.48i | −0.214425 | − | 0.123798i | ||||
\(473\) | 2648.42 | − | 8585.98i | 0.257452 | − | 0.834638i | ||||
\(474\) | 54.7870 | − | 157.843i | 0.00530897 | − | 0.0152952i | ||||
\(475\) | 17304.0 | + | 13799.4i | 1.67149 | + | 1.33297i | ||||
\(476\) | 12045.1 | + | 3143.33i | 1.15984 | + | 0.302677i | ||||
\(477\) | 7865.29 | + | 1145.13i | 0.754983 | + | 0.109920i | ||||
\(478\) | −37.1911 | + | 34.5083i | −0.00355875 | + | 0.00330203i | ||||
\(479\) | −1127.14 | + | 169.888i | −0.107516 | + | 0.0162054i | −0.202580 | − | 0.979266i | \(-0.564933\pi\) |
0.0950639 | + | 0.995471i | \(0.469694\pi\) | |||||||
\(480\) | 5319.31 | − | 1020.31i | 0.505817 | − | 0.0970221i | ||||
\(481\) | −886.152 | + | 5879.23i | −0.0840022 | + | 0.557318i | ||||
\(482\) | 310.784 | − | 149.666i | 0.0293689 | − | 0.0141433i | ||||
\(483\) | −1565.52 | − | 2252.18i | −0.147481 | − | 0.212169i | ||||
\(484\) | −4188.22 | − | 2016.94i | −0.393334 | − | 0.189420i | ||||
\(485\) | 2193.93 | − | 3217.91i | 0.205405 | − | 0.301274i | ||||
\(486\) | 1082.52 | − | 394.113i | 0.101037 | − | 0.0367846i | ||||
\(487\) | −1021.87 | + | 13635.9i | −0.0950831 | + | 1.26880i | 0.721845 | + | 0.692055i | \(0.243295\pi\) |
−0.816928 | + | 0.576740i | \(0.804325\pi\) | |||||||
\(488\) | 1214.42 | − | 3094.29i | 0.112652 | − | 0.287033i | ||||
\(489\) | −784.068 | + | 1809.49i | −0.0725088 | + | 0.167337i | ||||
\(490\) | 1548.55 | − | 1085.67i | 0.142768 | − | 0.100093i | ||||
\(491\) | − | 11454.5i | − | 1.05282i | −0.850231 | − | 0.526410i | \(-0.823538\pi\) | ||
0.850231 | − | 0.526410i | \(-0.176462\pi\) | |||||||
\(492\) | −13467.7 | − | 13400.3i | −1.23409 | − | 1.22791i | ||||
\(493\) | 21861.6 | + | 1638.30i | 1.99715 | + | 0.149666i | ||||
\(494\) | 1157.79 | − | 1247.80i | 0.105448 | − | 0.113646i | ||||
\(495\) | 13184.9 | − | 2055.08i | 1.19720 | − | 0.186604i | ||||
\(496\) | −1032.75 | + | 2144.54i | −0.0934920 | + | 0.194138i | ||||
\(497\) | 4913.99 | − | 3132.60i | 0.443506 | − | 0.282729i | ||||
\(498\) | 711.475 | − | 28.4108i | 0.0640200 | − | 0.00255647i | ||||
\(499\) | −17602.4 | − | 2653.13i | −1.57914 | − | 0.238017i | −0.699844 | − | 0.714296i | \(-0.746747\pi\) |
−0.879294 | + | 0.476279i | \(0.841985\pi\) | |||||||
\(500\) | 9320.67 | − | 6354.73i | 0.833666 | − | 0.568384i | ||||
\(501\) | −2019.16 | + | 7612.02i | −0.180059 | + | 0.678802i | ||||
\(502\) | 850.887 | + | 917.038i | 0.0756513 | + | 0.0815327i | ||||
\(503\) | −705.338 | − | 884.466i | −0.0625238 | − | 0.0784024i | 0.749586 | − | 0.661907i | \(-0.230253\pi\) |
−0.812110 | + | 0.583504i | \(0.801681\pi\) | |||||||
\(504\) | 653.076 | + | 2329.35i | 0.0577189 | + | 0.205868i | ||||
\(505\) | 13277.9 | − | 16649.9i | 1.17001 | − | 1.46715i | ||||
\(506\) | −235.636 | + | 17.6585i | −0.0207022 | + | 0.00155141i | ||||
\(507\) | −1541.97 | + | 1800.93i | −0.135072 | + | 0.157756i | ||||
\(508\) | 8260.08 | − | 14306.9i | 0.721421 | − | 1.24954i | ||||
\(509\) | −10834.9 | − | 18766.6i | −0.943513 | − | 1.63421i | −0.758702 | − | 0.651438i | \(-0.774166\pi\) |
−0.184810 | − | 0.982774i | \(-0.559167\pi\) | |||||||
\(510\) | 446.745 | − | 2394.00i | 0.0387886 | − | 0.207859i | ||||
\(511\) | 2062.22 | − | 4812.12i | 0.178527 | − | 0.416587i | ||||
\(512\) | −5794.91 | − | 1322.65i | −0.500198 | − | 0.114167i | ||||
\(513\) | −9144.61 | − | 12197.1i | −0.787026 | − | 1.04974i | ||||
\(514\) | −807.854 | + | 317.059i | −0.0693248 | + | 0.0272080i | ||||
\(515\) | −11260.3 | + | 4419.34i | −0.963473 | + | 0.378135i | ||||
\(516\) | −1482.53 | + | 13461.6i | −0.126482 | + | 1.14848i | ||||
\(517\) | 4926.79 | + | 1124.51i | 0.419111 | + | 0.0956593i | ||||
\(518\) | 256.091 | − | 597.580i | 0.0217220 | − | 0.0506876i | ||||
\(519\) | −20930.3 | − | 3905.82i | −1.77021 | − | 0.330340i | ||||
\(520\) | −2258.96 | − | 3912.64i | −0.190504 | − | 0.329962i | ||||
\(521\) | 8883.34 | − | 15386.4i | 0.746999 | − | 1.29384i | −0.202256 | − | 0.979333i | \(-0.564827\pi\) |
0.949255 | − | 0.314507i | \(-0.101839\pi\) | |||||||
\(522\) | 928.451 | + | 1903.43i | 0.0778490 | + | 0.159600i | ||||
\(523\) | −2743.26 | + | 205.579i | −0.229358 | + | 0.0171880i | −0.188913 | − | 0.981994i | \(-0.560496\pi\) |
−0.0404447 | + | 0.999182i | \(0.512877\pi\) | |||||||
\(524\) | −7745.60 | + | 9712.68i | −0.645741 | + | 0.809734i | ||||
\(525\) | 12359.5 | + | 15214.2i | 1.02746 | + | 1.26476i | ||||
\(526\) | −623.823 | − | 782.249i | −0.0517110 | − | 0.0648435i | ||||
\(527\) | 2227.22 | + | 2400.37i | 0.184097 | + | 0.198410i | ||||
\(528\) | −8459.77 | − | 2244.03i | −0.697281 | − | 0.184960i | ||||
\(529\) | 9381.65 | − | 6396.30i | 0.771074 | − | 0.525709i | ||||
\(530\) | 1604.99 | + | 241.914i | 0.131541 | + | 0.0198266i | ||||
\(531\) | 13216.2 | + | 5110.52i | 1.08010 | + | 0.417661i | ||||
\(532\) | 13418.4 | − | 8554.03i | 1.09354 | − | 0.697113i | ||||
\(533\) | −10333.9 | + | 21458.6i | −0.839797 | + | 1.74386i | ||||
\(534\) | 878.003 | + | 1389.58i | 0.0711515 | + | 0.112608i | ||||
\(535\) | 4891.35 | − | 5271.62i | 0.395274 | − | 0.426004i | ||||
\(536\) | 1189.49 | + | 89.1398i | 0.0958546 | + | 0.00718331i | ||||
\(537\) | 6765.97 | − | 6800.04i | 0.543712 | − | 0.546449i | ||||
\(538\) | 130.442i | 0.0104531i | ||||||||
\(539\) | −9226.91 | + | 1514.20i | −0.737349 | + | 0.121004i | ||||
\(540\) | −18933.8 | + | 6785.74i | −1.50885 | + | 0.540762i | ||||
\(541\) | −5060.73 | + | 12894.5i | −0.402177 | + | 1.02473i | 0.576091 | + | 0.817386i | \(0.304577\pi\) |
−0.978268 | + | 0.207345i | \(0.933518\pi\) | |||||||
\(542\) | −11.8573 | + | 158.225i | −0.000939696 | + | 0.0125394i | ||||
\(543\) | 2849.80 | + | 6487.32i | 0.225224 | + | 0.512702i | ||||
\(544\) | −2753.04 | + | 4037.96i | −0.216977 | + | 0.318247i | ||||
\(545\) | 21077.3 | + | 10150.3i | 1.65661 | + | 0.797782i | ||||
\(546\) | 1237.87 | − | 860.462i | 0.0970258 | − | 0.0674439i | ||||
\(547\) | −9067.68 | + | 4366.77i | −0.708786 | + | 0.341334i | −0.753302 | − | 0.657675i | \(-0.771540\pi\) |
0.0445153 | + | 0.999009i | \(0.485826\pi\) | |||||||
\(548\) | −722.780 | + | 4795.33i | −0.0563424 | + | 0.373808i | ||||
\(549\) | −4037.21 | + | 18106.9i | −0.313850 | + | 1.40762i | ||||
\(550\) | 1669.84 | − | 251.688i | 0.129458 | − | 0.0195127i | ||||
\(551\) | 20543.2 | − | 19061.3i | 1.58833 | − | 1.47376i | ||||
\(552\) | 691.606 | − | 187.178i | 0.0533274 | − | 0.0144326i | ||||
\(553\) | −1894.66 | − | 494.438i | −0.145695 | − | 0.0380210i | ||||
\(554\) | 693.057 | + | 552.695i | 0.0531502 | + | 0.0423858i | ||||
\(555\) | 10272.6 | + | 3565.60i | 0.785670 | + | 0.272705i | ||||
\(556\) | −5642.18 | + | 18291.5i | −0.430363 | + | 1.39520i | ||||
\(557\) | 21167.4 | + | 12221.0i | 1.61022 | + | 0.929658i | 0.989319 | + | 0.145765i | \(0.0465644\pi\) |
0.620896 | + | 0.783893i | \(0.286769\pi\) | |||||||
\(558\) | −91.7187 | + | 302.735i | −0.00695836 | + | 0.0229673i | ||||
\(559\) | 16552.2 | − | 3777.94i | 1.25239 | − | 0.285850i | ||||
\(560\) | −5500.35 | − | 20004.3i | −0.415057 | − | 1.50953i | ||||
\(561\) | −7125.54 | + | 9705.68i | −0.536258 | + | 0.730435i | ||||
\(562\) | −1441.02 | + | 444.497i | −0.108160 | + | 0.0333629i | ||||
\(563\) | −3302.37 | − | 8414.30i | −0.247208 | − | 0.629876i | 0.752375 | − | 0.658735i | \(-0.228908\pi\) |
−0.999584 | + | 0.0288583i | \(0.990813\pi\) | |||||||
\(564\) | −7612.31 | − | 265.692i | −0.568326 | − | 0.0198362i | ||||
\(565\) | 5149.18 | + | 16693.2i | 0.383412 | + | 1.24299i | ||||
\(566\) | −589.261 | + | 2581.72i | −0.0437606 | + | 0.191728i | ||||
\(567\) | −5603.39 | − | 12283.6i | −0.415027 | − | 0.909809i | ||||
\(568\) | 338.740 | + | 1484.12i | 0.0250233 | + | 0.109634i | ||||
\(569\) | 4099.82 | − | 2367.03i | 0.302062 | − | 0.174396i | −0.341307 | − | 0.939952i | \(-0.610869\pi\) |
0.643369 | + | 0.765556i | \(0.277536\pi\) | |||||||
\(570\) | −1854.91 | − | 2500.15i | −0.136304 | − | 0.183719i | ||||
\(571\) | 10214.1 | + | 3150.65i | 0.748597 | + | 0.230912i | 0.645500 | − | 0.763760i | \(-0.276649\pi\) |
0.103096 | + | 0.994671i | \(0.467125\pi\) | |||||||
\(572\) | 829.773 | + | 11072.5i | 0.0606548 | + | 0.809382i | ||||
\(573\) | 9658.68 | − | 5135.83i | 0.704184 | − | 0.374437i | ||||
\(574\) | 1685.87 | − | 1985.08i | 0.122590 | − | 0.144348i | ||||
\(575\) | 4538.90 | − | 3619.65i | 0.329191 | − | 0.262521i | ||||
\(576\) | 12842.9 | + | 897.605i | 0.929031 | + | 0.0649309i | ||||
\(577\) | −396.208 | − | 2628.67i | −0.0285864 | − | 0.189659i | 0.969980 | − | 0.243185i | \(-0.0781921\pi\) |
−0.998566 | + | 0.0535261i | \(0.982954\pi\) | |||||||
\(578\) | 396.153 | + | 581.050i | 0.0285083 | + | 0.0418140i | ||||
\(579\) | 11819.8 | − | 18916.3i | 0.848381 | − | 1.35775i | ||||
\(580\) | −16042.5 | − | 33312.7i | −1.14850 | − | 2.38489i | ||||
\(581\) | −988.442 | − | 8286.09i | −0.0705808 | − | 0.591678i | ||||
\(582\) | −256.758 | + | 222.083i | −0.0182869 | + | 0.0158172i | ||||
\(583\) | −6630.47 | − | 4520.58i | −0.471022 | − | 0.321138i | ||||
\(584\) | 1002.52 | + | 930.200i | 0.0710351 | + | 0.0659109i | ||||
\(585\) | 15819.7 | + | 19634.1i | 1.11806 | + | 1.38764i | ||||
\(586\) | −288.696 | − | 113.305i | −0.0203514 | − | 0.00798735i | ||||
\(587\) | −20847.9 | −1.46590 | −0.732951 | − | 0.680281i | \(-0.761858\pi\) | ||||
−0.732951 | + | 0.680281i | \(0.761858\pi\) | |||||||
\(588\) | 13228.4 | − | 4861.28i | 0.927775 | − | 0.340945i | ||||
\(589\) | 4185.82 | 0.292824 | ||||||||
\(590\) | 2693.63 | + | 1057.17i | 0.187958 | + | 0.0737680i | ||||
\(591\) | −6561.13 | + | 12490.1i | −0.456665 | + | 0.869330i | ||||
\(592\) | −5228.19 | − | 4851.05i | −0.362968 | − | 0.336786i | ||||
\(593\) | −21722.3 | − | 14810.0i | −1.50426 | − | 1.02559i | −0.985308 | − | 0.170785i | \(-0.945370\pi\) |
−0.518952 | − | 0.854803i | \(-0.673678\pi\) | |||||||
\(594\) | −1156.77 | − | 121.519i | −0.0799041 | − | 0.00839394i | ||||
\(595\) | −28381.8 | − | 3010.35i | −1.95553 | − | 0.207416i | ||||
\(596\) | 11151.5 | + | 23156.3i | 0.766414 | + | 1.59148i | ||||
\(597\) | 4145.45 | + | 2590.26i | 0.284191 | + | 0.177575i | ||||
\(598\) | −251.519 | − | 368.911i | −0.0171996 | − | 0.0252272i | ||||
\(599\) | −4162.63 | − | 27617.2i | −0.283940 | − | 1.88382i | −0.442952 | − | 0.896545i | \(-0.646069\pi\) |
0.159012 | − | 0.987277i | \(-0.449169\pi\) | |||||||
\(600\) | −4828.79 | + | 1703.29i | −0.328558 | + | 0.115894i | ||||
\(601\) | −10898.3 | + | 8691.11i | −0.739686 | + | 0.589880i | −0.919161 | − | 0.393883i | \(-0.871132\pi\) |
0.179475 | + | 0.983763i | \(0.442560\pi\) | |||||||
\(602\) | −1855.61 | − | 57.3034i | −0.125630 | − | 0.00387959i | ||||
\(603\) | −6635.89 | + | 530.819i | −0.448150 | + | 0.0358484i | ||||
\(604\) | −227.410 | − | 3034.58i | −0.0153198 | − | 0.204429i | ||||
\(605\) | 10184.4 | + | 3141.48i | 0.684389 | + | 0.211106i | ||||
\(606\) | −1490.78 | + | 1106.04i | −0.0999321 | + | 0.0741416i | ||||
\(607\) | −6202.40 | + | 3580.96i | −0.414741 | + | 0.239451i | −0.692825 | − | 0.721106i | \(-0.743634\pi\) |
0.278084 | + | 0.960557i | \(0.410301\pi\) | |||||||
\(608\) | 1390.16 | + | 6090.68i | 0.0927276 | + | 0.406266i | ||||
\(609\) | 21381.5 | − | 12603.7i | 1.42269 | − | 0.838631i | ||||
\(610\) | −843.007 | + | 3693.46i | −0.0559547 | + | 0.245154i | ||||
\(611\) | 2814.57 | + | 9124.60i | 0.186359 | + | 0.604160i | ||||
\(612\) | 7791.98 | − | 16390.3i | 0.514660 | − | 1.08258i | ||||
\(613\) | −2799.55 | − | 7133.13i | −0.184458 | − | 0.469991i | 0.808495 | − | 0.588504i | \(-0.200283\pi\) |
−0.992953 | + | 0.118512i | \(0.962187\pi\) | |||||||
\(614\) | 1169.44 | − | 360.723i | 0.0768641 | − | 0.0237094i | ||||
\(615\) | 35112.0 | + | 25777.9i | 2.30220 | + | 1.69019i | ||||
\(616\) | 438.412 | − | 2402.84i | 0.0286756 | − | 0.157164i | ||||
\(617\) | −255.218 | + | 58.2520i | −0.0166527 | + | 0.00380087i | −0.230839 | − | 0.972992i | \(-0.574147\pi\) |
0.214186 | + | 0.976793i | \(0.431290\pi\) | |||||||
\(618\) | 1047.46 | − | 120.685i | 0.0681799 | − | 0.00785546i | ||||
\(619\) | −3455.35 | − | 1994.94i | −0.224365 | − | 0.129537i | 0.383605 | − | 0.923497i | \(-0.374683\pi\) |
−0.607970 | + | 0.793960i | \(0.708016\pi\) | |||||||
\(620\) | 1627.82 | − | 5277.27i | 0.105443 | − | 0.341839i | ||||
\(621\) | −3652.89 | + | 1626.61i | −0.236047 | + | 0.105110i | ||||
\(622\) | −1988.09 | − | 1585.45i | −0.128160 | − | 0.102204i | ||||
\(623\) | 15424.5 | − | 11540.1i | 0.991926 | − | 0.742126i | ||||
\(624\) | −4320.44 | − | 15963.7i | −0.277173 | − | 1.02413i | ||||
\(625\) | −295.326 | + | 274.023i | −0.0189009 | + | 0.0175375i | ||||
\(626\) | −710.669 | + | 107.116i | −0.0453738 | + | 0.00683901i | ||||
\(627\) | 2899.43 | + | 15115.9i | 0.184676 | + | 0.962795i | ||||
\(628\) | −2986.77 | + | 19815.9i | −0.189785 | + | 1.25914i | ||||
\(629\) | −8839.89 | + | 4257.07i | −0.560365 | + | 0.269857i | ||||
\(630\) | −1131.67 | − | 2514.17i | −0.0715662 | − | 0.158995i | ||||
\(631\) | 18903.1 | + | 9103.27i | 1.19259 | + | 0.574319i | 0.921554 | − | 0.388251i | \(-0.126921\pi\) |
0.271033 | + | 0.962570i | \(0.412635\pi\) | |||||||
\(632\) | 288.138 | − | 422.621i | 0.0181353 | − | 0.0265996i | ||||
\(633\) | −6424.73 | + | 2822.31i | −0.403413 | + | 0.177214i | ||||
\(634\) | 33.2422 | − | 443.586i | 0.00208236 | − | 0.0277872i | ||||
\(635\) | −13837.7 | + | 35258.0i | −0.864778 | + | 2.20342i | ||||
\(636\) | 11098.5 | + | 4809.08i | 0.691955 | + | 0.299831i | ||||
\(637\) | −11195.2 | − | 13668.3i | −0.696341 | − | 0.850171i | ||||
\(638\) | − | 2138.23i | − | 0.132685i | ||||||
\(639\) | −3143.54 | − | 7892.82i | −0.194611 | − | 0.488631i | ||||
\(640\) | 10937.3 | + | 819.639i | 0.675525 | + | 0.0506236i | ||||
\(641\) | −13952.8 | + | 15037.6i | −0.859757 | + | 0.926598i | −0.997962 | − | 0.0638058i | \(-0.979676\pi\) |
0.138205 | + | 0.990404i | \(0.455867\pi\) | |||||||
\(642\) | −529.916 | + | 334.827i | −0.0325765 | + | 0.0205835i | ||||
\(643\) | −7340.55 | + | 15242.8i | −0.450207 | + | 0.934865i | 0.545125 | + | 0.838355i | \(0.316482\pi\) |
−0.995332 | + | 0.0965099i | \(0.969232\pi\) | |||||||
\(644\) | −1404.29 | − | 3930.73i | −0.0859269 | − | 0.240516i | ||||
\(645\) | −1238.93 | − | 31025.7i | −0.0756320 | − | 1.89401i | ||||
\(646\) | 2777.61 | + | 418.657i | 0.169170 | + | 0.0254982i | ||||
\(647\) | −24032.6 | + | 16385.2i | −1.46031 | + | 0.995623i | −0.466502 | + | 0.884520i | \(0.654486\pi\) |
−0.993809 | + | 0.111102i | \(0.964562\pi\) | |||||||
\(648\) | 3514.13 | − | 298.872i | 0.213037 | − | 0.0181185i | ||||
\(649\) | −9730.92 | − | 10487.4i | −0.588555 | − | 0.634311i | ||||
\(650\) | 1989.48 | + | 2494.73i | 0.120052 | + | 0.150541i | ||||
\(651\) | 3621.54 | + | 792.219i | 0.218033 | + | 0.0476951i | ||||
\(652\) | −1871.14 | + | 2346.34i | −0.112392 | + | 0.140935i | ||||
\(653\) | 111.166 | − | 8.33075i | 0.00666197 | − | 0.000499245i | −0.0713987 | − | 0.997448i | \(-0.522746\pi\) |
0.0780607 | + | 0.996949i | \(0.475127\pi\) | |||||||
\(654\) | −1548.95 | − | 1326.22i | −0.0926128 | − | 0.0792959i | ||||
\(655\) | 14241.3 | − | 24666.6i | 0.849545 | − | 1.47146i | ||||
\(656\) | −14285.0 | − | 24742.3i | −0.850206 | − | 1.47260i | ||||
\(657\) | −6327.76 | − | 4267.80i | −0.375753 | − | 0.253429i | ||||
\(658\) | −45.8528 | − | 1043.13i | −0.00271661 | − | 0.0618019i | ||||
\(659\) | 7616.93 | + | 1738.51i | 0.450248 | + | 0.102766i | 0.441631 | − | 0.897197i | \(-0.354400\pi\) |
0.00861687 | + | 0.999963i | \(0.497257\pi\) | |||||||
\(660\) | 20185.0 | + | 2222.99i | 1.19045 | + | 0.131105i | ||||
\(661\) | −20924.1 | + | 8212.10i | −1.23124 | + | 0.483228i | −0.889660 | − | 0.456623i | \(-0.849059\pi\) |
−0.341585 | + | 0.939851i | \(0.610964\pi\) | |||||||
\(662\) | −661.366 | + | 259.567i | −0.0388289 | + | 0.0152392i | ||||
\(663\) | −22614.4 | − | 2490.54i | −1.32469 | − | 0.145889i | ||||
\(664\) | 2125.19 | + | 485.062i | 0.124207 | + | 0.0283495i | ||||
\(665\) | −27498.1 | + | 23978.2i | −1.60350 | + | 1.39825i | ||||
\(666\) | −785.795 | − | 529.985i | −0.0457191 | − | 0.0308356i | ||||
\(667\) | −3675.44 | − | 6366.05i | −0.213364 | − | 0.369557i | ||||
\(668\) | −5992.30 | + | 10379.0i | −0.347079 | + | 0.601159i | ||||
\(669\) | −6505.69 | − | 5570.22i | −0.375971 | − | 0.321909i | ||||
\(670\) | −1355.66 | + | 101.592i | −0.0781696 | + | 0.00585800i | ||||
\(671\) | 11678.2 | − | 14644.0i | 0.671883 | − | 0.842514i | ||||
\(672\) | 50.0155 | + | 5532.72i | 0.00287112 | + | 0.317603i | ||||
\(673\) | 13149.3 | + | 16488.6i | 0.753145 | + | 0.944414i | 0.999695 | − | 0.0247162i | \(-0.00786821\pi\) |
−0.246549 | + | 0.969130i | \(0.579297\pi\) | |||||||
\(674\) | 761.332 | + | 820.521i | 0.0435095 | + | 0.0468921i | ||||
\(675\) | 25163.8 | − | 13542.9i | 1.43489 | − | 0.772249i | ||||
\(676\) | −2981.07 | + | 2032.46i | −0.169610 | + | 0.115638i | ||||
\(677\) | 23396.3 | + | 3526.43i | 1.32820 | + | 0.200195i | 0.774529 | − | 0.632538i | \(-0.217987\pi\) |
0.553675 | + | 0.832733i | \(0.313225\pi\) | |||||||
\(678\) | −60.7573 | − | 1521.51i | −0.00344155 | − | 0.0861846i | ||||
\(679\) | 2831.56 | + | 2794.82i | 0.160037 | + | 0.157961i | ||||
\(680\) | 3234.82 | − | 6717.18i | 0.182426 | − | 0.378812i | ||||
\(681\) | 19901.9 | − | 12575.0i | 1.11988 | − | 0.707599i | ||||
\(682\) | 217.230 | − | 234.118i | 0.0121967 | − | 0.0131449i | ||||
\(683\) | 3940.78 | + | 295.320i | 0.220775 | + | 0.0165448i | 0.184658 | − | 0.982803i | \(-0.440882\pi\) |
0.0361169 | + | 0.999348i | \(0.488501\pi\) | |||||||
\(684\) | −8583.90 | − | 21552.5i | −0.479845 | − | 1.20480i | ||||
\(685\) | − | 11118.6i | − | 0.620174i | ||||||
\(686\) | 807.100 | + | 1755.28i | 0.0449201 | + | 0.0976921i | ||||
\(687\) | 26847.8 | + | 11633.4i | 1.49099 | + | 0.646059i | ||||
\(688\) | −7440.48 | + | 18958.0i | −0.412305 | + | 1.05054i | ||||
\(689\) | 1133.16 | − | 15121.0i | 0.0626562 | − | 0.836088i | ||||
\(690\) | −747.624 | + | 328.422i | −0.0412486 | + | 0.0181200i | ||||
\(691\) | 10913.7 | − | 16007.4i | 0.600833 | − | 0.881259i | −0.398523 | − | 0.917158i | \(-0.630477\pi\) |
0.999355 | + | 0.0358989i | \(0.0114294\pi\) | |||||||
\(692\) | −29192.9 | − | 14058.6i | −1.60368 | − | 0.772292i | ||||
\(693\) | −352.322 | + | 13626.9i | −0.0193126 | + | 0.746962i | ||||
\(694\) | −1208.72 | + | 582.088i | −0.0661128 | + | 0.0318383i | ||||
\(695\) | 6541.05 | − | 43397.1i | 0.357002 | − | 2.36855i | ||||
\(696\) | 1221.34 | + | 6367.37i | 0.0665155 | + | 0.346774i | ||||
\(697\) | −38864.4 | + | 5857.87i | −2.11204 | + | 0.318339i | ||||
\(698\) | −779.576 | + | 723.341i | −0.0422742 | + | 0.0392247i | ||||
\(699\) | 789.596 | + | 2917.49i | 0.0427257 | + | 0.157868i | ||||
\(700\) | 12107.0 | + | 27262.6i | 0.653717 | + | 1.47204i | ||||
\(701\) | −13162.4 | − | 10496.6i | −0.709180 | − | 0.565552i | 0.201087 | − | 0.979573i | \(-0.435553\pi\) |
−0.910267 | + | 0.414021i | \(0.864124\pi\) | |||||||
\(702\) | −894.037 | − | 2007.75i | −0.0480673 | − | 0.107945i | ||||
\(703\) | −3696.88 | + | 11985.0i | −0.198336 | + | 0.642990i | ||||
\(704\) | −11257.0 | − | 6499.22i | −0.602647 | − | 0.347938i | ||||
\(705\) | 17348.8 | − | 1998.87i | 0.926799 | − | 0.106783i | ||||
\(706\) | 1472.87 | − | 336.174i | 0.0785160 | − | 0.0179208i | ||||
\(707\) | 14297.7 | + | 16396.5i | 0.760566 | + | 0.872211i | ||||
\(708\) | 17382.2 | + | 12761.4i | 0.922689 | + | 0.677403i | ||||
\(709\) | −19887.8 | + | 6134.58i | −1.05346 | + | 0.324949i | −0.772662 | − | 0.634818i | \(-0.781075\pi\) |
−0.280797 | + | 0.959767i | \(0.590599\pi\) | |||||||
\(710\) | −633.846 | − | 1615.01i | −0.0335040 | − | 0.0853668i | ||||
\(711\) | −1225.66 | + | 2578.15i | −0.0646494 | + | 0.135989i | ||||
\(712\) | 1483.23 | + | 4808.52i | 0.0780709 | + | 0.253100i | ||||
\(713\) | 244.318 | − | 1070.43i | 0.0128328 | − | 0.0562242i | ||||
\(714\) | 2323.93 | + | 887.917i | 0.121808 | + | 0.0465399i | ||||
\(715\) | −5664.83 | − | 24819.2i | −0.296297 | − | 1.29816i | ||||
\(716\) | 12642.3 | − | 7299.05i | 0.659868 | − | 0.380975i | ||||
\(717\) | 696.153 | − | 516.489i | 0.0362598 | − | 0.0269019i | ||||
\(718\) | 918.661 | + | 283.369i | 0.0477495 | + | 0.0147288i | ||||
\(719\) | 1320.43 | + | 17620.0i | 0.0684894 | + | 0.913928i | 0.920585 | + | 0.390542i | \(0.127712\pi\) |
−0.852096 | + | 0.523386i | \(0.824669\pi\) | |||||||
\(720\) | −30149.5 | + | 2411.72i | −1.56056 | + | 0.124833i | ||||
\(721\) | −2376.53 | − | 12126.4i | −0.122756 | − | 0.626365i | ||||
\(722\) | 1176.46 | − | 938.200i | 0.0606420 | − | 0.0483603i | ||||
\(723\) | −5557.92 | + | 1960.48i | −0.285894 | + | 0.100845i | ||||
\(724\) | 1607.12 | + | 10662.5i | 0.0824973 | + | 0.547334i | ||||
\(725\) | 29593.0 | + | 43405.0i | 1.51594 | + | 2.22348i | ||||
\(726\) | −787.845 | − | 492.281i | −0.0402750 | − | 0.0251656i | ||||
\(727\) | −15202.2 | − | 31567.6i | −0.775540 | − | 1.61043i | −0.791970 | − | 0.610560i | \(-0.790944\pi\) |
0.0164300 | − | 0.999865i | \(-0.494770\pi\) | |||||||
\(728\) | 4346.20 | − | 1552.72i | 0.221265 | − | 0.0790491i | ||||
\(729\) | −19121.3 | + | 4668.50i | −0.971465 | + | 0.237184i | ||||
\(730\) | −1287.81 | − | 878.016i | −0.0652933 | − | 0.0445162i | ||||
\(731\) | 20538.0 | + | 19056.5i | 1.03916 | + | 0.964197i | ||||
\(732\) | −13129.0 | + | 24993.1i | −0.662928 | + | 1.26198i | ||||
\(733\) | −25225.1 | − | 9900.11i | −1.27109 | − | 0.498866i | −0.368604 | − | 0.929586i | \(-0.620164\pi\) |
−0.902485 | + | 0.430720i | \(0.858260\pi\) | |||||||
\(734\) | 1936.27 | 0.0973694 | ||||||||
\(735\) | −28329.3 | + | 15541.4i | −1.42169 | + | 0.779938i | ||||
\(736\) | 1638.70 | 0.0820695 | ||||||||
\(737\) | 6256.68 | + | 2455.57i | 0.312711 | + | 0.122730i | ||||
\(738\) | −2382.14 | − | 2956.53i | −0.118818 | − | 0.147468i | ||||
\(739\) | 2313.66 | + | 2146.77i | 0.115168 | + | 0.106861i | 0.735655 | − | 0.677356i | \(-0.236874\pi\) |
−0.620487 | + | 0.784217i | \(0.713065\pi\) | |||||||
\(740\) | 13672.4 | + | 9321.68i | 0.679199 | + | 0.463070i | ||||
\(741\) | −21996.4 | + | 19025.8i | −1.09050 | + | 0.943224i | ||||
\(742\) | −537.401 | + | 1568.58i | −0.0265884 | + | 0.0776070i | ||||
\(743\) | −5049.09 | − | 10484.5i | −0.249304 | − | 0.517686i | 0.738334 | − | 0.674435i | \(-0.235613\pi\) |
−0.987638 | + | 0.156749i | \(0.949899\pi\) | |||||||
\(744\) | −513.155 | + | 821.253i | −0.0252865 | + | 0.0404685i | ||||
\(745\) | −33194.6 | − | 48687.5i | −1.63242 | − | 2.39433i | ||||
\(746\) | 242.181 | + | 1606.76i | 0.0118859 | + | 0.0788577i | ||||
\(747\) | −12136.0 | − | 848.198i | −0.594423 | − | 0.0415448i | ||||
\(748\) | −14325.7 | + | 11424.3i | −0.700266 | + | 0.558443i | ||||
\(749\) | 4400.83 | + | 5882.15i | 0.214690 | + | 0.286955i | ||||
\(750\) | 1990.53 | − | 1058.43i | 0.0969117 | − | 0.0515311i | ||||
\(751\) | −114.508 | − | 1528.00i | −0.00556384 | − | 0.0742443i | 0.993731 | − | 0.111800i | \(-0.0356617\pi\) |
−0.999295 | + | 0.0375562i | \(0.988043\pi\) | |||||||
\(752\) | −10945.4 | − | 3376.21i | −0.530769 | − | 0.163721i | ||||
\(753\) | −12735.3 | − | 17165.4i | −0.616336 | − | 0.830731i | ||||
\(754\) | 3499.00 | − | 2020.15i | 0.169000 | − | 0.0975721i | ||||
\(755\) | 1552.52 | + | 6802.04i | 0.0748371 | + | 0.327883i | ||||
\(756\) | −3347.64 | − | 20271.7i | −0.161048 | − | 0.975230i | ||||
\(757\) | −2359.27 | + | 10336.6i | −0.113275 | + | 0.496290i | 0.886182 | + | 0.463337i | \(0.153348\pi\) |
−0.999457 | + | 0.0329527i | \(0.989509\pi\) | |||||||
\(758\) | 67.8513 | + | 219.969i | 0.00325128 | + | 0.0105404i | ||||
\(759\) | 4034.79 | + | 140.826i | 0.192956 | + | 0.00673474i | ||||
\(760\) | −3481.87 | − | 8871.65i | −0.166185 | − | 0.423433i | ||||
\(761\) | −12590.1 | + | 3883.53i | −0.599724 | + | 0.184990i | −0.579729 | − | 0.814810i | \(-0.696841\pi\) |
−0.0199956 | + | 0.999800i | \(0.506365\pi\) | |||||||
\(762\) | 1953.81 | − | 2661.29i | 0.0928861 | − | 0.126520i | ||||
\(763\) | −14065.2 | + | 19320.5i | −0.667360 | + | 0.916707i | ||||
\(764\) | 16230.0 | − | 3704.38i | 0.768559 | − | 0.175419i | ||||
\(765\) | −12064.6 | + | 39821.4i | −0.570190 | + | 1.88202i | ||||
\(766\) | −216.551 | − | 125.026i | −0.0102145 | − | 0.00589735i | ||||
\(767\) | 7968.09 | − | 25831.9i | 0.375112 | − | 1.21608i | ||||
\(768\) | 17822.1 | + | 6186.04i | 0.837370 | + | 0.290650i | ||||
\(769\) | −19452.5 | − | 15512.9i | −0.912193 | − | 0.727450i | 0.0503062 | − | 0.998734i | \(-0.483980\pi\) |
−0.962499 | + | 0.271284i | \(0.912552\pi\) | |||||||
\(770\) | −85.9236 | + | 2782.39i | −0.00402139 | + | 0.130221i | ||||
\(771\) | 14312.7 | − | 3873.62i | 0.668558 | − | 0.180940i | ||||
\(772\) | 24883.1 | − | 23088.1i | 1.16005 | − | 1.07637i | ||||
\(773\) | 13743.8 | − | 2071.55i | 0.639496 | − | 0.0963885i | 0.178713 | − | 0.983901i | \(-0.442807\pi\) |
0.460783 | + | 0.887513i | \(0.347569\pi\) | |||||||
\(774\) | −588.997 | + | 2641.65i | −0.0273528 | + | 0.122677i | ||||
\(775\) | −1169.47 | + | 7758.94i | −0.0542047 | + | 0.359625i | ||||
\(776\) | −936.358 | + | 450.926i | −0.0433161 | + | 0.0208599i | ||||
\(777\) | −5466.82 | + | 9669.63i | −0.252408 | + | 0.446456i | ||||
\(778\) | −786.394 | − | 378.707i | −0.0362385 | − | 0.0174516i | ||||
\(779\) | −28302.3 | + | 41511.9i | −1.30171 | + | 1.90926i | ||||
\(780\) | 15432.6 | + | 35130.9i | 0.708430 | + | 1.61268i | ||||
\(781\) | −641.015 | + | 8553.75i | −0.0293692 | + | 0.391904i | ||||
\(782\) | 269.186 | − | 685.875i | 0.0123096 | − | 0.0313642i | ||||
\(783\) | −12207.7 | − | 34062.3i | −0.557174 | − | 1.55464i | ||||
\(784\) | 21111.8 | − | 1859.60i | 0.961725 | − | 0.0847123i | ||||
\(785\) | − | 45945.6i | − | 2.08901i | ||||||
\(786\) | −1751.11 | + | 1759.93i | −0.0794657 | + | 0.0798658i | ||||
\(787\) | 2754.61 | + | 206.429i | 0.124766 | + | 0.00934994i | 0.136967 | − | 0.990576i | \(-0.456265\pi\) |
−0.0122006 | + | 0.999926i | \(0.503884\pi\) | |||||||
\(788\) | −14603.6 | + | 15738.9i | −0.660191 | + | 0.711517i | ||||
\(789\) | 9131.23 | + | 14451.6i | 0.412016 | + | 0.652078i | ||||
\(790\) | −252.935 | + | 525.225i | −0.0113912 | + | 0.0236540i | ||||
\(791\) | −17720.0 | + | 2113.81i | −0.796524 | + | 0.0950168i | ||||
\(792\) | −3321.18 | − | 1284.26i | −0.149006 | − | 0.0576188i | ||||
\(793\) | 34996.8 | + | 5274.92i | 1.56718 | + | 0.236214i | ||||
\(794\) | −3287.36 | + | 2241.29i | −0.146932 | + | 0.100177i | ||||
\(795\) | −26804.9 | − | 7110.26i | −1.19581 | − | 0.317201i | ||||
\(796\) | 5059.68 | + | 5453.04i | 0.225296 | + | 0.242811i | ||||
\(797\) | 2211.58 | + | 2773.23i | 0.0982912 | + | 0.123253i | 0.828544 | − | 0.559923i | \(-0.189169\pi\) |
−0.730253 | + | 0.683177i | \(0.760598\pi\) | |||||||
\(798\) | 2852.63 | − | 1405.66i | 0.126544 | − | 0.0623558i | ||||
\(799\) | −9824.67 | + | 12319.7i | −0.435009 | + | 0.545484i | ||||
\(800\) | −11678.2 | + | 875.163i | −0.516110 | + | 0.0386771i | ||||
\(801\) | −12312.0 | − | 25241.1i | −0.543101 | − | 1.11342i | ||||
\(802\) | −1264.30 | + | 2189.83i | −0.0556658 | + | 0.0964161i | ||||
\(803\) | 3853.05 | + | 6673.68i | 0.169329 | + | 0.293286i | ||||
\(804\) | −9958.84 | − | 1858.42i | −0.436842 | − | 0.0815193i | ||||
\(805\) | 4526.89 | + | 8431.58i | 0.198201 | + | 0.369160i | ||||
\(806\) | 588.344 | + | 134.286i | 0.0257116 | + | 0.00586850i | ||||
\(807\) | 243.970 | − | 2215.27i | 0.0106421 | − | 0.0966312i | ||||
\(808\) | −5289.97 | + | 2076.16i | −0.230322 | + | 0.0903949i | ||||
\(809\) | −24932.4 | + | 9785.23i | −1.08353 | + | 0.425254i | −0.838857 | − | 0.544352i | \(-0.816776\pi\) |
−0.244672 | + | 0.969606i | \(0.578680\pi\) | |||||||
\(810\) | −3909.55 | + | 933.741i | −0.169590 | + | 0.0405041i | ||||
\(811\) | 28427.4 | + | 6488.38i | 1.23085 | + | 0.280934i | 0.788009 | − | 0.615664i | \(-0.211112\pi\) |
0.442845 | + | 0.896598i | \(0.353969\pi\) | |||||||
\(812\) | 36419.1 | − | 10013.7i | 1.57396 | − | 0.432775i | ||||
\(813\) | 497.304 | − | 2664.93i | 0.0214529 | − | 0.114961i | ||||
\(814\) | 478.480 | + | 828.752i | 0.0206028 | + | 0.0356852i | ||||
\(815\) | 3440.33 | − | 5958.82i | 0.147864 | − | 0.256108i | ||||
\(816\) | 17749.6 | − | 20730.5i | 0.761472 | − | 0.889354i | ||||
\(817\) | 35714.4 | − | 2676.42i | 1.52936 | − | 0.114610i | ||||
\(818\) | 1514.99 | − | 1899.73i | 0.0647558 | − | 0.0812012i | ||||
\(819\) | −22632.0 | + | 12297.9i | −0.965598 | + | 0.524691i | ||||
\(820\) | 41329.6 | + | 51825.7i | 1.76011 | + | 2.20711i | ||||
\(821\) | −11451.1 | − | 12341.3i | −0.486779 | − | 0.524623i | 0.441123 | − | 0.897446i | \(-0.354580\pi\) |
−0.927902 | + | 0.372824i | \(0.878390\pi\) | |||||||
\(822\) | −248.484 | + | 936.757i | −0.0105436 | + | 0.0397484i | ||||
\(823\) | −26884.8 | + | 18329.8i | −1.13869 | + | 0.776349i | −0.977575 | − | 0.210586i | \(-0.932463\pi\) |
−0.161120 | + | 0.986935i | \(0.551510\pi\) | |||||||
\(824\) | 3191.87 | + | 481.097i | 0.134944 | + | 0.0203396i | ||||
\(825\) | −28829.3 | + | 1151.22i | −1.21662 | + | 0.0485823i | ||||
\(826\) | −1556.31 | + | 2513.12i | −0.0655579 | + | 0.105863i | ||||
\(827\) | 254.781 | − | 529.058i | 0.0107129 | − | 0.0222456i | −0.895544 | − | 0.444973i | \(-0.853213\pi\) |
0.906257 | + | 0.422728i | \(0.138927\pi\) | |||||||
\(828\) | −6012.60 | + | 937.160i | −0.252358 | + | 0.0393340i | ||||
\(829\) | 27760.7 | − | 29918.9i | 1.16305 | − | 1.25347i | 0.201302 | − | 0.979529i | \(-0.435483\pi\) |
0.961747 | − | 0.273939i | \(-0.0883268\pi\) | |||||||
\(830\) | −2477.42 | − | 185.657i | −0.103606 | − | 0.00776416i | ||||
\(831\) | −10736.4 | − | 10682.6i | −0.448183 | − | 0.445938i | ||||
\(832\) | − | 24561.2i | − | 1.02344i | ||||||
\(833\) | 8229.30 | − | 27970.2i | 0.342291 | − | 1.16340i | ||||
\(834\) | −1520.95 | + | 3510.09i | −0.0631491 | + | 0.145737i | ||||
\(835\) | 10038.6 | − | 25578.0i | 0.416049 | − | 1.06008i | ||||
\(836\) | −1750.39 | + | 23357.3i | −0.0724144 | + | 0.966302i | ||||
\(837\) | 2123.86 | − | 4969.75i | 0.0877077 | − | 0.205233i | ||||
\(838\) | 1478.41 | − | 2168.43i | 0.0609437 | − | 0.0893880i | ||||
\(839\) | 16073.6 | + | 7740.65i | 0.661410 | + | 0.318518i | 0.734303 | − | 0.678821i | \(-0.237509\pi\) |
−0.0728933 | + | 0.997340i | \(0.523223\pi\) | |||||||
\(840\) | −1333.41 | − | 8334.68i | −0.0547703 | − | 0.342350i | ||||
\(841\) | 37956.5 | − | 18278.9i | 1.55630 | − | 0.749473i | ||||
\(842\) | 596.701 | − | 3958.85i | 0.0244224 | − | 0.162032i | ||||
\(843\) | 25304.0 | − | 4853.63i | 1.03383 | − | 0.198301i | ||||
\(844\) | −10559.7 | + | 1591.61i | −0.430662 | + | 0.0649119i | ||||
\(845\) | 6063.92 | − | 5626.49i | 0.246870 | − | 0.229062i | ||||
\(846\) | −1506.33 | − | 219.312i | −0.0612161 | − | 0.00891265i | ||||
\(847\) | −5024.43 | + | 9658.80i | −0.203827 | + | 0.391830i | ||||
\(848\) | 14220.9 | + | 11340.8i | 0.575884 | + | 0.459252i | ||||
\(849\) | 14836.0 | − | 42742.9i | 0.599730 | − | 1.72783i | ||||
\(850\) | −1552.07 | + | 5031.68i | −0.0626300 | + | 0.203041i | ||||
\(851\) | 2849.11 | + | 1644.93i | 0.114766 | + | 0.0662604i | ||||
\(852\) | −1479.83 | − | 12843.9i | −0.0595051 | − | 0.516462i | ||||
\(853\) | 7516.35 | − | 1715.56i | 0.301706 | − | 0.0688624i | −0.0689881 | − | 0.997617i | \(-0.521977\pi\) |
0.370694 | + | 0.928755i | \(0.379120\pi\) | |||||||
\(854\) | −3557.16 | − | 1524.41i | −0.142533 | − | 0.0610822i | ||||
\(855\) | 26825.5 | + | 45928.9i | 1.07300 | + | 1.83712i | ||||
\(856\) | −1833.73 | + | 565.632i | −0.0732193 | + | 0.0225852i | ||||
\(857\) | 3584.43 | + | 9132.97i | 0.142872 | + | 0.364033i | 0.984341 | − | 0.176272i | \(-0.0564040\pi\) |
−0.841469 | + | 0.540305i | \(0.818309\pi\) | |||||||
\(858\) | −77.4028 | + | 2217.66i | −0.00307982 | + | 0.0882397i | ||||
\(859\) | 1263.10 | + | 4094.86i | 0.0501703 | + | 0.162648i | 0.977191 | − | 0.212362i | \(-0.0681155\pi\) |
−0.927021 | + | 0.375010i | \(0.877639\pi\) | |||||||
\(860\) | 10514.7 | − | 46067.8i | 0.416916 | − | 1.82663i | ||||
\(861\) | −32343.6 | + | 30559.2i | −1.28022 | + | 1.20959i | ||||
\(862\) | −955.284 | − | 4185.37i | −0.0377461 | − | 0.165376i | ||||
\(863\) | −4287.97 | + | 2475.66i | −0.169136 | + | 0.0976506i | −0.582178 | − | 0.813061i | \(-0.697799\pi\) |
0.413042 | + | 0.910712i | \(0.364466\pi\) | |||||||
\(864\) | 7936.72 | + | 1439.86i | 0.312515 | + | 0.0566958i | ||||
\(865\) | 70987.8 | + | 21896.8i | 2.79035 | + | 0.860710i | ||||
\(866\) | 134.628 | + | 1796.49i | 0.00528273 | + | 0.0704931i | ||||
\(867\) | −5641.05 | − | 10608.8i | −0.220969 | − | 0.415565i | ||||
\(868\) | 5004.91 | + | 2603.51i | 0.195712 | + | 0.101808i | ||||
\(869\) | 2253.39 | − | 1797.02i | 0.0879643 | − | 0.0701492i | ||||
\(870\) | −2457.99 | − | 6968.36i | −0.0957860 | − | 0.271551i | ||||
\(871\) | 1892.87 | + | 12558.4i | 0.0736366 | + | 0.488547i | ||||
\(872\) | −3516.61 | − | 5157.92i | −0.136568 | − | 0.200309i | ||||
\(873\) | 4775.85 | − | 3291.37i | 0.185152 | − | 0.127602i | ||||
\(874\) | −408.662 | − | 848.595i | −0.0158160 | − | 0.0328423i | ||||
\(875\) | −14202.6 | − | 22279.0i | −0.548725 | − | 0.860765i | ||||
\(876\) | −7598.47 | − | 8784.87i | −0.293069 | − | 0.338828i | ||||
\(877\) | −6176.45 | − | 4211.03i | −0.237815 | − | 0.162140i | 0.438548 | − | 0.898708i | \(-0.355493\pi\) |
−0.676364 | + | 0.736568i | \(0.736445\pi\) | |||||||
\(878\) | −29.3987 | − | 27.2780i | −0.00113002 | − | 0.00104850i | ||||
\(879\) | 4690.97 | + | 2464.20i | 0.180003 | + | 0.0945567i | ||||
\(880\) | 28426.6 | + | 11156.6i | 1.08893 | + | 0.427375i | ||||
\(881\) | 25868.4 | 0.989250 | 0.494625 | − | 0.869106i | \(-0.335305\pi\) | ||||
0.494625 | + | 0.869106i | \(0.335305\pi\) | |||||||
\(882\) | 2734.12 | − | 676.272i | 0.104379 | − | 0.0258177i | ||||
\(883\) | 13142.7 | 0.500890 | 0.250445 | − | 0.968131i | \(-0.419423\pi\) | ||||
0.250445 | + | 0.968131i | \(0.419423\pi\) | |||||||
\(884\) | −32229.3 | − | 12649.1i | −1.22623 | − | 0.481261i | ||||
\(885\) | −43768.3 | − | 22991.8i | −1.66243 | − | 0.873289i | ||||
\(886\) | 2015.58 | + | 1870.18i | 0.0764273 | + | 0.0709142i | ||||
\(887\) | −28999.1 | − | 19771.3i | −1.09774 | − | 0.748427i | −0.127807 | − | 0.991799i | \(-0.540794\pi\) |
−0.969933 | + | 0.243372i | \(0.921746\pi\) | |||||||
\(888\) | −1898.23 | − | 2194.61i | −0.0717346 | − | 0.0829349i | ||||
\(889\) | −32895.2 | − | 20371.1i | −1.24102 | − | 0.768531i | ||||
\(890\) | −2488.35 | − | 5167.11i | −0.0937187 | − | 0.194609i | ||||
\(891\) | 19418.0 | + | 4227.30i | 0.730111 | + | 0.158945i | ||||
\(892\) | −7342.04 | − | 10768.8i | −0.275594 | − | 0.404222i | ||||
\(893\) | 3002.17 | + | 19918.1i | 0.112501 | + | 0.746397i | ||||
\(894\) | 1708.60 | + | 4843.85i | 0.0639196 | + | 0.181211i | ||||
\(895\) | −26167.5 | + | 20867.9i | −0.977298 | + | 0.779369i | ||||
\(896\) | −2829.15 | + | 10841.2i | −0.105486 | + | 0.404216i | ||||
\(897\) | 3581.52 | + | 6735.58i | 0.133315 | + | 0.250718i | ||||
\(898\) | 248.128 | + | 3311.04i | 0.00922064 | + | 0.123041i | ||||
\(899\) | 9493.93 | + | 2928.49i | 0.352214 | + | 0.108644i | ||||
\(900\) | 42348.5 | − | 9889.80i | 1.56846 | − | 0.366289i | ||||
\(901\) | 21670.4 | − | 12511.4i | 0.801270 | − | 0.462614i | ||||
\(902\) | 853.017 | + | 3737.31i | 0.0314882 | + | 0.137959i | ||||
\(903\) | 31406.4 | + | 4443.78i | 1.15741 | + | 0.163765i | ||||
\(904\) | 1037.32 | − | 4544.78i | 0.0381644 | − | 0.167209i | ||||
\(905\) | −7287.06 | − | 23624.1i | −0.267657 | − | 0.867724i | ||||
\(906\) | 21.2133 | − | 607.779i | 0.000777884 | − | 0.0222871i | ||||
\(907\) | 13570.0 | + | 34575.8i | 0.496786 | + | 1.26579i | 0.931013 | + | 0.364987i | \(0.118926\pi\) |
−0.434227 | + | 0.900804i | \(0.642978\pi\) | |||||||
\(908\) | 34234.2 | − | 10559.9i | 1.25121 | − | 0.385949i | ||||
\(909\) | 27386.4 | − | 15995.5i | 0.999284 | − | 0.583648i | ||||
\(910\) | −4634.28 | + | 2488.13i | −0.168819 | + | 0.0906381i | ||||
\(911\) | −25773.8 | + | 5882.71i | −0.937349 | + | 0.213944i | −0.663797 | − | 0.747913i | \(-0.731056\pi\) |
−0.273553 | + | 0.961857i | \(0.588199\pi\) | |||||||
\(912\) | −3993.09 | − | 34657.2i | −0.144983 | − | 1.25835i | ||||
\(913\) | 10637.4 | + | 6141.48i | 0.385592 | + | 0.222622i | ||||
\(914\) | −354.334 | + | 1148.72i | −0.0128231 | + | 0.0415716i | ||||
\(915\) | 21224.7 | − | 61148.7i | 0.766848 | − | 2.20930i | ||||
\(916\) | 34813.2 | + | 27762.6i | 1.25574 | + | 1.00142i | ||||
\(917\) | 22177.4 | + | 18834.6i | 0.798650 | + | 0.678269i | ||||
\(918\) | 1906.41 | − | 3085.38i | 0.0685412 | − | 0.110929i | ||||
\(919\) | −21663.4 | + | 20100.7i | −0.777593 | + | 0.721501i | −0.965420 | − | 0.260701i | \(-0.916046\pi\) |
0.187826 | + | 0.982202i | \(0.439856\pi\) | |||||||
\(920\) | −2471.96 | + | 372.587i | −0.0885848 | + | 0.0133520i | ||||
\(921\) | −20535.0 | + | 3938.87i | −0.734692 | + | 0.140923i | ||||
\(922\) | 355.410 | − | 2357.99i | 0.0126950 | − | 0.0842260i | ||||
\(923\) | −14603.0 | + | 7032.42i | −0.520761 | + | 0.250785i | ||||
\(924\) | −5935.09 | + | 19877.3i | −0.211310 | + | 0.707699i | ||||
\(925\) | −21182.8 | − | 10201.1i | −0.752958 | − | 0.362605i | ||||
\(926\) | 1087.29 | − | 1594.77i | 0.0385861 | − | 0.0565954i | ||||
\(927\) | −18014.6 | + | 90.4758i | −0.638272 | + | 0.00320563i | ||||
\(928\) | −1108.13 | + | 14787.0i | −0.0391985 | + | 0.523067i | ||||
\(929\) | 5888.11 | − | 15002.7i | 0.207947 | − | 0.529840i | −0.788407 | − | 0.615153i | \(-0.789094\pi\) |
0.996354 | + | 0.0853138i | \(0.0271893\pi\) | |||||||
\(930\) | 438.810 | − | 1012.69i | 0.0154722 | − | 0.0357070i | ||||
\(931\) | −19054.9 | − | 32030.8i | −0.670782 | − | 1.12757i | ||||
\(932\) | 4599.57i | 0.161656i | ||||||||
\(933\) | 30798.1 | + | 30643.9i | 1.08069 | + | 1.07528i | ||||
\(934\) | 386.991 | + | 29.0010i | 0.0135575 | + | 0.00101600i | ||||
\(935\) | 28574.2 | − | 30795.6i | 0.999439 | − | 1.07714i | ||||
\(936\) | −1036.21 | − | 6648.11i | −0.0361856 | − | 0.232158i | ||||
\(937\) | 14289.4 | − | 29672.3i | 0.498202 | − | 1.03453i | −0.488587 | − | 0.872515i | \(-0.662488\pi\) |
0.986789 | − | 0.162011i | \(-0.0517981\pi\) | |||||||
\(938\) | 146.477 | − | 1380.99i | 0.00509876 | − | 0.0480715i | ||||
\(939\) | 12269.5 | − | 489.950i | 0.426412 | − | 0.0170276i | ||||
\(940\) | 26279.2 | + | 3960.96i | 0.911845 | + | 0.137439i | ||||
\(941\) | −36118.9 | + | 24625.4i | −1.25127 | + | 0.853099i | −0.993580 | − | 0.113130i | \(-0.963912\pi\) |
−0.257686 | + | 0.966229i | \(0.582960\pi\) | |||||||
\(942\) | −1026.82 | + | 3870.99i | −0.0355154 | + | 0.133889i | ||||
\(943\) | 8963.77 | + | 9660.65i | 0.309545 | + | 0.333610i | ||||
\(944\) | 20218.1 | + | 25352.7i | 0.697080 | + | 0.874111i | ||||
\(945\) | 14516.6 | + | 44814.4i | 0.499709 | + | 1.54266i | ||||
\(946\) | 1703.76 | − | 2136.45i | 0.0585561 | − | 0.0734270i | ||||
\(947\) | −25659.7 | + | 1922.93i | −0.880495 | + | 0.0659839i | −0.507300 | − | 0.861769i | \(-0.669357\pi\) |
−0.373194 | + | 0.927753i | \(0.621737\pi\) | |||||||
\(948\) | −2825.40 | + | 3299.90i | −0.0967983 | + | 0.113055i | ||||
\(949\) | −7280.53 | + | 12610.2i | −0.249037 | + | 0.431344i | ||||
\(950\) | 3365.55 | + | 5829.30i | 0.114940 | + | 0.199081i | ||||
\(951\) | −1394.20 | + | 7471.19i | −0.0475395 | + | 0.254753i | ||||
\(952\) | 6157.29 | + | 4482.49i | 0.209621 | + | 0.152603i | ||||
\(953\) | −11507.0 | − | 2626.39i | −0.391131 | − | 0.0892731i | 0.0224325 | − | 0.999748i | \(-0.492859\pi\) |
−0.413564 | + | 0.910475i | \(0.635716\pi\) | |||||||
\(954\) | 2099.45 | + | 1198.10i | 0.0712497 | + | 0.0406603i | ||||
\(955\) | −35529.4 | + | 13944.3i | −1.20388 | + | 0.472488i | ||||
\(956\) | 1227.95 | − | 481.935i | 0.0415427 | − | 0.0163043i | ||||
\(957\) | −3999.20 | + | 36313.2i | −0.135084 | + | 1.22658i | ||||
\(958\) | −337.971 | − | 77.1398i | −0.0113981 | − | 0.00260154i | ||||
\(959\) | 11173.6 | + | 2038.69i | 0.376240 | + | 0.0686474i | ||||
\(960\) | −44157.0 | − | 8240.15i | −1.48454 | − | 0.277031i | ||||
\(961\) | −14153.5 | − | 24514.6i | −0.475093 | − | 0.822886i | ||||
\(962\) | −904.112 | + | 1565.97i | −0.0303012 | + | 0.0524832i | ||||
\(963\) | 9625.73 | − | 4695.21i | 0.322102 | − | 0.157114i | ||||
\(964\) | −8943.73 | + | 670.240i | −0.298816 | + | 0.0223931i | ||||
\(965\) | −48523.4 | + | 60846.4i | −1.61868 | + | 2.02976i | ||||
\(966\) | −192.964 | − | 811.543i | −0.00642703 | − | 0.0270300i | ||||
\(967\) | 6368.16 | + | 7985.42i | 0.211775 | + | 0.265557i | 0.876362 | − | 0.481654i | \(-0.159964\pi\) |
−0.664587 | + | 0.747211i | \(0.731392\pi\) | |||||||
\(968\) | −1934.44 | − | 2084.83i | −0.0642306 | − | 0.0692241i | ||||
\(969\) | −46388.7 | − | 12305.0i | −1.53789 | − | 0.407941i | ||||
\(970\) | 978.650 | − | 667.232i | 0.0323944 | − | 0.0220861i | ||||
\(971\) | −5736.94 | − | 864.704i | −0.189606 | − | 0.0285784i | 0.0535529 | − | 0.998565i | \(-0.482945\pi\) |
−0.243159 | + | 0.969987i | \(0.578184\pi\) | |||||||
\(972\) | −29944.4 | − | 744.095i | −0.988133 | − | 0.0245544i | ||||
\(973\) | 42412.4 | + | 14530.7i | 1.39741 | + | 0.478758i | ||||
\(974\) | −1804.38 | + | 3746.83i | −0.0593594 | + | 0.123261i | ||||
\(975\) | −29121.1 | − | 46088.6i | −0.956535 | − | 1.51386i | ||||
\(976\) | −28876.4 | + | 31121.4i | −0.947041 | + | 1.02067i | ||||
\(977\) | 37874.7 | + | 2838.32i | 1.24025 | + | 0.0929435i | 0.678646 | − | 0.734466i | \(-0.262567\pi\) |
0.561599 | + | 0.827409i | \(0.310186\pi\) | |||||||
\(978\) | −423.024 | + | 425.153i | −0.0138311 | + | 0.0139007i | ||||
\(979\) | 28354.7i | 0.925659i | ||||||||
\(980\) | −47793.1 | + | 11567.0i | −1.55785 | + | 0.377035i | ||||
\(981\) | 23825.1 | + | 25420.1i | 0.775411 | + | 0.827321i | ||||
\(982\) | 1272.71 | − | 3242.80i | 0.0413581 | − | 0.105379i | ||||
\(983\) | −3328.99 | + | 44422.3i | −0.108015 | + | 1.44136i | 0.635223 | + | 0.772328i | \(0.280908\pi\) |
−0.743238 | + | 0.669027i | \(0.766711\pi\) | |||||||
\(984\) | −4674.89 | − | 10642.0i | −0.151453 | − | 0.344770i | ||||
\(985\) | 27729.9 | − | 40672.2i | 0.897002 | − | 1.31566i | ||||
\(986\) | 6007.05 | + | 2892.84i | 0.194020 | + | 0.0934349i | ||||
\(987\) | −1172.30 | + | 17801.2i | −0.0378061 | + | 0.574080i | ||||
\(988\) | −39875.5 | + | 19203.1i | −1.28402 | + | 0.618351i | ||||
\(989\) | 1400.15 | − | 9289.37i | 0.0450173 | − | 0.298670i | ||||
\(990\) | 3961.02 | + | 883.170i | 0.127161 | + | 0.0283525i | ||||
\(991\) | 29520.6 | − | 4449.52i | 0.946270 | − | 0.142627i | 0.342261 | − | 0.939605i | \(-0.388807\pi\) |
0.604009 | + | 0.796978i | \(0.293569\pi\) | |||||||
\(992\) | −1623.59 | + | 1506.47i | −0.0519647 | + | 0.0482162i | ||||
\(993\) | 11717.4 | − | 3171.21i | 0.374460 | − | 0.101345i | ||||
\(994\) | 1739.23 | − | 340.855i | 0.0554979 | − | 0.0108765i | ||||
\(995\) | −13334.3 | − | 10633.7i | −0.424849 | − | 0.338806i | ||||
\(996\) | −17490.0 | − | 6070.77i | −0.556418 | − | 0.193132i | ||||
\(997\) | 12388.1 | − | 40161.1i | 0.393515 | − | 1.27574i | −0.514748 | − | 0.857342i | \(-0.672114\pi\) |
0.908262 | − | 0.418401i | \(-0.137409\pi\) | |||||||
\(998\) | −4688.49 | − | 2706.90i | −0.148709 | − | 0.0858572i | ||||
\(999\) | 12353.8 | + | 10470.3i | 0.391248 | + | 0.331599i |
(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 | 147.4.o.a.101.28 | yes | 648 | |
3.2 | odd | 2 | inner | 147.4.o.a.101.27 | ✓ | 648 | |
49.33 | odd | 42 | inner | 147.4.o.a.131.27 | yes | 648 | |
147.131 | even | 42 | inner | 147.4.o.a.131.28 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
147.4.o.a.101.27 | ✓ | 648 | 3.2 | odd | 2 | inner | |
147.4.o.a.101.28 | yes | 648 | 1.1 | even | 1 | trivial | |
147.4.o.a.131.27 | yes | 648 | 49.33 | odd | 42 | inner | |
147.4.o.a.131.28 | yes | 648 | 147.131 | even | 42 | inner |