Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(23,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 10, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.23");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.u (of order \(20\), degree \(8\), 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: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(928\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 47.25 | ||
Character | \(\chi\) | \(=\) | 300.47 |
Dual form | 300.3.u.a.83.25 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{17}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.55678 | − | 1.25557i | −0.778388 | − | 0.627783i | ||||
\(3\) | −2.99505 | + | 0.172330i | −0.998349 | + | 0.0574434i | ||||
\(4\) | 0.847105 | + | 3.90927i | 0.211776 | + | 0.977318i | ||||
\(5\) | −2.73641 | + | 4.18474i | −0.547283 | + | 0.836948i | ||||
\(6\) | 4.87899 | + | 3.49220i | 0.813165 | + | 0.582033i | ||||
\(7\) | −1.87910 | + | 1.87910i | −0.268443 | + | 0.268443i | −0.828472 | − | 0.560030i | \(-0.810790\pi\) |
0.560030 | + | 0.828472i | \(0.310790\pi\) | |||||||
\(8\) | 3.58960 | − | 7.14946i | 0.448700 | − | 0.893683i | ||||
\(9\) | 8.94060 | − | 1.03227i | 0.993401 | − | 0.114697i | ||||
\(10\) | 9.51420 | − | 3.07895i | 0.951420 | − | 0.307895i | ||||
\(11\) | −5.27811 | + | 16.2444i | −0.479828 | + | 1.47676i | 0.359505 | + | 0.933143i | \(0.382946\pi\) |
−0.839333 | + | 0.543617i | \(0.817054\pi\) | |||||||
\(12\) | −3.21081 | − | 11.5625i | −0.267567 | − | 0.963539i | ||||
\(13\) | 10.1517 | + | 5.17256i | 0.780902 | + | 0.397890i | 0.798530 | − | 0.601955i | \(-0.205611\pi\) |
−0.0176277 | + | 0.999845i | \(0.505611\pi\) | |||||||
\(14\) | 5.28467 | − | 0.566003i | 0.377476 | − | 0.0404288i | ||||
\(15\) | 7.47453 | − | 13.0051i | 0.498302 | − | 0.867003i | ||||
\(16\) | −14.5648 | + | 6.62313i | −0.910302 | + | 0.413946i | ||||
\(17\) | 3.58247 | − | 22.6188i | 0.210734 | − | 1.33052i | −0.624672 | − | 0.780887i | \(-0.714767\pi\) |
0.835406 | − | 0.549633i | \(-0.185233\pi\) | |||||||
\(18\) | −15.2146 | − | 9.61851i | −0.845256 | − | 0.534361i | ||||
\(19\) | −14.3988 | + | 10.4613i | −0.757830 | + | 0.550596i | −0.898244 | − | 0.439497i | \(-0.855157\pi\) |
0.140414 | + | 0.990093i | \(0.455157\pi\) | |||||||
\(20\) | −18.6773 | − | 7.15247i | −0.933866 | − | 0.357624i | ||||
\(21\) | 5.30416 | − | 5.95181i | 0.252579 | − | 0.283420i | ||||
\(22\) | 28.6127 | − | 18.6618i | 1.30058 | − | 0.848264i | ||||
\(23\) | −2.89463 | − | 5.68103i | −0.125853 | − | 0.247001i | 0.819479 | − | 0.573109i | \(-0.194263\pi\) |
−0.945333 | + | 0.326108i | \(0.894263\pi\) | |||||||
\(24\) | −9.51895 | + | 22.0316i | −0.396623 | + | 0.917982i | ||||
\(25\) | −10.0241 | − | 22.9024i | −0.400963 | − | 0.916094i | ||||
\(26\) | −9.30947 | − | 20.7987i | −0.358057 | − | 0.799950i | ||||
\(27\) | −26.5996 | + | 4.63244i | −0.985172 | + | 0.171572i | ||||
\(28\) | −8.93770 | − | 5.75411i | −0.319204 | − | 0.205504i | ||||
\(29\) | 7.12662 | + | 5.17780i | 0.245746 | + | 0.178545i | 0.703839 | − | 0.710359i | \(-0.251468\pi\) |
−0.458094 | + | 0.888904i | \(0.651468\pi\) | |||||||
\(30\) | −27.9649 | + | 10.8612i | −0.932163 | + | 0.362040i | ||||
\(31\) | −20.3522 | − | 28.0124i | −0.656524 | − | 0.903627i | 0.342837 | − | 0.939395i | \(-0.388612\pi\) |
−0.999360 | + | 0.0357679i | \(0.988612\pi\) | |||||||
\(32\) | 30.9900 | + | 7.97637i | 0.968436 | + | 0.249262i | ||||
\(33\) | 13.0088 | − | 49.5622i | 0.394206 | − | 1.50188i | ||||
\(34\) | −33.9766 | + | 30.7145i | −0.999311 | + | 0.903366i | ||||
\(35\) | −2.72154 | − | 13.0055i | −0.0777584 | − | 0.371587i | ||||
\(36\) | 11.6091 | + | 34.0768i | 0.322474 | + | 0.946578i | ||||
\(37\) | −24.2256 | + | 47.5455i | −0.654747 | + | 1.28501i | 0.289941 | + | 0.957044i | \(0.406364\pi\) |
−0.944688 | + | 0.327969i | \(0.893636\pi\) | |||||||
\(38\) | 35.5505 | + | 1.79268i | 0.935540 | + | 0.0471758i | ||||
\(39\) | −31.2963 | − | 13.7426i | −0.802469 | − | 0.352375i | ||||
\(40\) | 20.0960 | + | 34.5854i | 0.502400 | + | 0.864635i | ||||
\(41\) | −35.6707 | + | 11.5901i | −0.870017 | + | 0.282686i | −0.709806 | − | 0.704397i | \(-0.751217\pi\) |
−0.160211 | + | 0.987083i | \(0.551217\pi\) | |||||||
\(42\) | −15.7303 | + | 2.60591i | −0.374531 | + | 0.0620455i | ||||
\(43\) | −38.4224 | − | 38.4224i | −0.893544 | − | 0.893544i | 0.101311 | − | 0.994855i | \(-0.467696\pi\) |
−0.994855 | + | 0.101311i | \(0.967696\pi\) | |||||||
\(44\) | −67.9748 | − | 6.87290i | −1.54488 | − | 0.156202i | ||||
\(45\) | −20.1454 | + | 40.2388i | −0.447676 | + | 0.894196i | ||||
\(46\) | −2.62662 | + | 12.4785i | −0.0571005 | + | 0.271272i | ||||
\(47\) | 1.85733 | + | 11.7267i | 0.0395177 | + | 0.249505i | 0.999537 | − | 0.0304291i | \(-0.00968737\pi\) |
−0.960019 | + | 0.279934i | \(0.909687\pi\) | |||||||
\(48\) | 42.4810 | − | 22.3465i | 0.885020 | − | 0.465553i | ||||
\(49\) | 41.9380i | 0.855877i | ||||||||
\(50\) | −13.1502 | + | 48.2397i | −0.263004 | + | 0.964795i | ||||
\(51\) | −6.83177 | + | 68.3619i | −0.133956 | + | 1.34043i | ||||
\(52\) | −11.6214 | + | 44.0676i | −0.223488 | + | 0.847454i | ||||
\(53\) | −14.2620 | − | 90.0467i | −0.269094 | − | 1.69899i | −0.638414 | − | 0.769693i | \(-0.720409\pi\) |
0.369320 | − | 0.929302i | \(-0.379591\pi\) | |||||||
\(54\) | 47.2260 | + | 26.1859i | 0.874556 | + | 0.484925i | ||||
\(55\) | −53.5353 | − | 66.5388i | −0.973369 | − | 1.20980i | ||||
\(56\) | 6.68933 | + | 20.1798i | 0.119452 | + | 0.360353i | ||||
\(57\) | 41.3222 | − | 33.8135i | 0.724950 | − | 0.593219i | ||||
\(58\) | −4.59349 | − | 17.0086i | −0.0791982 | − | 0.293252i | ||||
\(59\) | 108.315 | − | 35.1937i | 1.83585 | − | 0.596503i | 0.837069 | − | 0.547097i | \(-0.184267\pi\) |
0.998779 | − | 0.0494067i | \(-0.0157330\pi\) | |||||||
\(60\) | 57.1720 | + | 18.2033i | 0.952867 | + | 0.303389i | ||||
\(61\) | 21.7899 | − | 67.0624i | 0.357212 | − | 1.09938i | −0.597504 | − | 0.801866i | \(-0.703841\pi\) |
0.954716 | − | 0.297519i | \(-0.0961590\pi\) | |||||||
\(62\) | −3.48761 | + | 69.1627i | −0.0562518 | + | 1.11553i | ||||
\(63\) | −14.8605 | + | 18.7400i | −0.235882 | + | 0.297461i | ||||
\(64\) | −38.2296 | − | 51.3274i | −0.597337 | − | 0.801990i | ||||
\(65\) | −49.4252 | + | 28.3281i | −0.760387 | + | 0.435816i | ||||
\(66\) | −82.4804 | + | 60.8238i | −1.24970 | + | 0.921573i | ||||
\(67\) | 6.45228 | − | 40.7381i | 0.0963026 | − | 0.608031i | −0.891584 | − | 0.452855i | \(-0.850406\pi\) |
0.987887 | − | 0.155176i | \(-0.0495945\pi\) | |||||||
\(68\) | 91.4580 | − | 5.15568i | 1.34497 | − | 0.0758189i | ||||
\(69\) | 9.64856 | + | 16.5161i | 0.139834 | + | 0.239364i | ||||
\(70\) | −12.0925 | + | 23.6638i | −0.172750 | + | 0.338054i | ||||
\(71\) | −19.3343 | − | 14.0472i | −0.272314 | − | 0.197848i | 0.443244 | − | 0.896401i | \(-0.353827\pi\) |
−0.715558 | + | 0.698553i | \(0.753827\pi\) | |||||||
\(72\) | 24.7130 | − | 67.6259i | 0.343236 | − | 0.939249i | ||||
\(73\) | −50.2344 | − | 98.5905i | −0.688142 | − | 1.35055i | −0.925357 | − | 0.379097i | \(-0.876235\pi\) |
0.237215 | − | 0.971457i | \(-0.423765\pi\) | |||||||
\(74\) | 97.4104 | − | 43.6008i | 1.31636 | − | 0.589200i | ||||
\(75\) | 33.9693 | + | 66.8662i | 0.452924 | + | 0.891549i | ||||
\(76\) | −53.0934 | − | 47.4269i | −0.698598 | − | 0.624038i | ||||
\(77\) | −20.6067 | − | 40.4429i | −0.267619 | − | 0.525232i | ||||
\(78\) | 31.4665 | + | 60.6888i | 0.403417 | + | 0.778061i | ||||
\(79\) | 17.8247 | + | 12.9504i | 0.225629 | + | 0.163929i | 0.694857 | − | 0.719148i | \(-0.255468\pi\) |
−0.469228 | + | 0.883077i | \(0.655468\pi\) | |||||||
\(80\) | 12.1393 | − | 79.0736i | 0.151741 | − | 0.988420i | ||||
\(81\) | 78.8688 | − | 18.4583i | 0.973689 | − | 0.227880i | ||||
\(82\) | 70.0834 | + | 26.7437i | 0.854676 | + | 0.326143i | ||||
\(83\) | −4.17550 | + | 26.3630i | −0.0503072 | + | 0.317627i | 0.949683 | + | 0.313213i | \(0.101405\pi\) |
−0.999990 | + | 0.00441459i | \(0.998595\pi\) | |||||||
\(84\) | 27.7604 | + | 15.6936i | 0.330481 | + | 0.186829i | ||||
\(85\) | 84.8508 | + | 76.8863i | 0.998245 | + | 0.904544i | ||||
\(86\) | 11.5732 | + | 108.057i | 0.134572 | + | 1.25648i | ||||
\(87\) | −22.2369 | − | 14.2796i | −0.255596 | − | 0.164133i | ||||
\(88\) | 97.1921 | + | 96.0464i | 1.10446 | + | 1.09144i | ||||
\(89\) | −19.9839 | + | 61.5040i | −0.224538 | + | 0.691056i | 0.773800 | + | 0.633429i | \(0.218353\pi\) |
−0.998338 | + | 0.0576267i | \(0.981647\pi\) | |||||||
\(90\) | 81.8844 | − | 37.3490i | 0.909827 | − | 0.414988i | ||||
\(91\) | −28.7959 | + | 9.35634i | −0.316438 | + | 0.102817i | ||||
\(92\) | 19.7566 | − | 16.1283i | 0.214746 | − | 0.175308i | ||||
\(93\) | 65.7833 | + | 80.3913i | 0.707347 | + | 0.864422i | ||||
\(94\) | 11.8322 | − | 20.5879i | 0.125875 | − | 0.219020i | ||||
\(95\) | −4.37688 | − | 88.8816i | −0.0460725 | − | 0.935595i | ||||
\(96\) | −94.1909 | − | 18.5491i | −0.981156 | − | 0.193220i | ||||
\(97\) | 9.57342 | + | 60.4442i | 0.0986951 | + | 0.623136i | 0.986606 | + | 0.163121i | \(0.0521561\pi\) |
−0.887911 | + | 0.460015i | \(0.847844\pi\) | |||||||
\(98\) | 52.6559 | − | 65.2881i | 0.537305 | − | 0.666205i | ||||
\(99\) | −30.4209 | + | 150.683i | −0.307282 | + | 1.52205i | ||||
\(100\) | 81.0401 | − | 58.5876i | 0.810401 | − | 0.585876i | ||||
\(101\) | − | 78.1375i | − | 0.773639i | −0.922155 | − | 0.386819i | \(-0.873574\pi\) | ||
0.922155 | − | 0.386819i | \(-0.126426\pi\) | |||||||
\(102\) | 96.4684 | − | 97.8464i | 0.945769 | − | 0.959278i | ||||
\(103\) | −13.7764 | − | 86.9811i | −0.133752 | − | 0.844476i | −0.959761 | − | 0.280819i | \(-0.909394\pi\) |
0.826009 | − | 0.563657i | \(-0.190606\pi\) | |||||||
\(104\) | 73.4217 | − | 54.0120i | 0.705978 | − | 0.519346i | ||||
\(105\) | 10.3924 | + | 38.4832i | 0.0989752 | + | 0.366506i | ||||
\(106\) | −90.8569 | + | 158.090i | −0.857141 | + | 1.49141i | ||||
\(107\) | −52.0078 | − | 52.0078i | −0.486054 | − | 0.486054i | 0.421004 | − | 0.907059i | \(-0.361678\pi\) |
−0.907059 | + | 0.421004i | \(0.861678\pi\) | |||||||
\(108\) | −40.6422 | − | 100.061i | −0.376316 | − | 0.926491i | ||||
\(109\) | −20.6389 | + | 6.70598i | −0.189347 | + | 0.0615227i | −0.402156 | − | 0.915571i | \(-0.631739\pi\) |
0.212808 | + | 0.977094i | \(0.431739\pi\) | |||||||
\(110\) | −0.201424 | + | 170.803i | −0.00183113 | + | 1.55276i | ||||
\(111\) | 64.3634 | − | 146.576i | 0.579850 | − | 1.32050i | ||||
\(112\) | 14.9232 | − | 39.8143i | 0.133243 | − | 0.355484i | ||||
\(113\) | −61.2229 | + | 120.157i | −0.541795 | + | 1.06333i | 0.444101 | + | 0.895977i | \(0.353523\pi\) |
−0.985896 | + | 0.167357i | \(0.946477\pi\) | |||||||
\(114\) | −106.784 | + | 0.757271i | −0.936706 | + | 0.00664273i | ||||
\(115\) | 31.6945 | + | 3.43238i | 0.275605 | + | 0.0298468i | ||||
\(116\) | −14.2044 | + | 32.2461i | −0.122452 | + | 0.277983i | ||||
\(117\) | 96.1021 | + | 35.7665i | 0.821385 | + | 0.305697i | ||||
\(118\) | −212.810 | − | 81.2080i | −1.80348 | − | 0.688204i | ||||
\(119\) | 35.7712 | + | 49.2349i | 0.300599 | + | 0.413738i | ||||
\(120\) | −66.1485 | − | 100.122i | −0.551238 | − | 0.834348i | ||||
\(121\) | −138.130 | − | 100.357i | −1.14157 | − | 0.829398i | ||||
\(122\) | −118.123 | + | 77.0425i | −0.968224 | + | 0.631496i | ||||
\(123\) | 104.838 | − | 40.8600i | 0.852342 | − | 0.332196i | ||||
\(124\) | 92.2678 | − | 103.292i | 0.744095 | − | 0.832999i | ||||
\(125\) | 123.270 | + | 20.7222i | 0.986163 | + | 0.165778i | ||||
\(126\) | 46.6639 | − | 10.5156i | 0.370348 | − | 0.0834574i | ||||
\(127\) | 22.0468 | + | 43.2693i | 0.173597 | + | 0.340703i | 0.961369 | − | 0.275264i | \(-0.0887653\pi\) |
−0.787772 | + | 0.615967i | \(0.788765\pi\) | |||||||
\(128\) | −4.93004 | + | 127.905i | −0.0385160 | + | 0.999258i | ||||
\(129\) | 121.698 | + | 108.455i | 0.943397 | + | 0.840740i | ||||
\(130\) | 112.512 | + | 17.9561i | 0.865475 | + | 0.138124i | ||||
\(131\) | 66.1562 | − | 48.0653i | 0.505009 | − | 0.366911i | −0.305918 | − | 0.952058i | \(-0.598963\pi\) |
0.810927 | + | 0.585147i | \(0.198963\pi\) | |||||||
\(132\) | 204.772 | + | 8.87054i | 1.55130 | + | 0.0672011i | ||||
\(133\) | 7.39886 | − | 46.7145i | 0.0556305 | − | 0.351237i | ||||
\(134\) | −61.1941 | + | 55.3188i | −0.456672 | + | 0.412827i | ||||
\(135\) | 53.4021 | − | 123.989i | 0.395571 | − | 0.918435i | ||||
\(136\) | −148.853 | − | 106.805i | −1.09451 | − | 0.785333i | ||||
\(137\) | 94.2251 | + | 48.0101i | 0.687774 | + | 0.350438i | 0.762702 | − | 0.646751i | \(-0.223872\pi\) |
−0.0749274 | + | 0.997189i | \(0.523872\pi\) | |||||||
\(138\) | 5.71643 | − | 37.8263i | 0.0414234 | − | 0.274104i | ||||
\(139\) | −11.5268 | + | 35.4759i | −0.0829267 | + | 0.255222i | −0.983920 | − | 0.178611i | \(-0.942839\pi\) |
0.900993 | + | 0.433834i | \(0.142839\pi\) | |||||||
\(140\) | 48.5367 | − | 21.6563i | 0.346691 | − | 0.154688i | ||||
\(141\) | −7.58367 | − | 34.8020i | −0.0537849 | − | 0.246823i | ||||
\(142\) | 12.4620 | + | 46.1438i | 0.0877605 | + | 0.324956i | ||||
\(143\) | −137.607 | + | 137.607i | −0.962287 | + | 0.962287i | ||||
\(144\) | −123.381 | + | 74.2497i | −0.856816 | + | 0.515623i | ||||
\(145\) | −41.1691 | + | 15.6545i | −0.283925 | + | 0.107962i | ||||
\(146\) | −45.5832 | + | 216.556i | −0.312214 | + | 1.48326i | ||||
\(147\) | −7.22718 | − | 125.606i | −0.0491645 | − | 0.854464i | ||||
\(148\) | −206.390 | − | 54.4286i | −1.39453 | − | 0.367761i | ||||
\(149\) | −170.479 | −1.14415 | −0.572076 | − | 0.820201i | \(-0.693862\pi\) | ||||
−0.572076 | + | 0.820201i | \(0.693862\pi\) | |||||||
\(150\) | 31.0723 | − | 146.746i | 0.207148 | − | 0.978310i | ||||
\(151\) | 25.4587i | 0.168601i | 0.996440 | + | 0.0843003i | \(0.0268655\pi\) | ||||
−0.996440 | + | 0.0843003i | \(0.973134\pi\) | |||||||
\(152\) | 23.1070 | + | 140.495i | 0.152020 | + | 0.924311i | ||||
\(153\) | 8.68065 | − | 205.924i | 0.0567363 | − | 1.34591i | ||||
\(154\) | −18.6987 | + | 88.8335i | −0.121420 | + | 0.576841i | ||||
\(155\) | 172.917 | − | 8.51512i | 1.11559 | − | 0.0549363i | ||||
\(156\) | 27.2124 | − | 133.987i | 0.174438 | − | 0.858892i | ||||
\(157\) | 112.867 | + | 112.867i | 0.718895 | + | 0.718895i | 0.968379 | − | 0.249484i | \(-0.0802609\pi\) |
−0.249484 | + | 0.968379i | \(0.580261\pi\) | |||||||
\(158\) | −11.4890 | − | 42.5410i | −0.0727151 | − | 0.269247i | ||||
\(159\) | 58.2331 | + | 267.236i | 0.366246 | + | 1.68073i | ||||
\(160\) | −118.180 | + | 107.858i | −0.738627 | + | 0.674114i | ||||
\(161\) | 16.1145 | + | 5.23592i | 0.100090 | + | 0.0325213i | ||||
\(162\) | −145.957 | − | 70.2896i | −0.900968 | − | 0.433887i | ||||
\(163\) | −95.5453 | + | 187.518i | −0.586167 | + | 1.15042i | 0.387377 | + | 0.921921i | \(0.373381\pi\) |
−0.973545 | + | 0.228497i | \(0.926619\pi\) | |||||||
\(164\) | −75.5257 | − | 129.628i | −0.460523 | − | 0.790417i | ||||
\(165\) | 171.807 | + | 190.061i | 1.04126 | + | 1.15189i | ||||
\(166\) | 39.6009 | − | 35.7988i | 0.238559 | − | 0.215655i | ||||
\(167\) | −240.741 | − | 38.1297i | −1.44157 | − | 0.228322i | −0.613829 | − | 0.789439i | \(-0.710372\pi\) |
−0.827736 | + | 0.561117i | \(0.810372\pi\) | |||||||
\(168\) | −23.5124 | − | 59.2865i | −0.139955 | − | 0.352896i | ||||
\(169\) | −23.0335 | − | 31.7029i | −0.136293 | − | 0.187591i | ||||
\(170\) | −35.5580 | − | 226.231i | −0.209165 | − | 1.33077i | ||||
\(171\) | −117.935 | + | 108.394i | −0.689677 | + | 0.633883i | ||||
\(172\) | 117.656 | − | 182.751i | 0.684045 | − | 1.06251i | ||||
\(173\) | −53.4833 | + | 27.2511i | −0.309152 | + | 0.157521i | −0.601683 | − | 0.798735i | \(-0.705503\pi\) |
0.292530 | + | 0.956256i | \(0.405503\pi\) | |||||||
\(174\) | 16.6888 | + | 50.1500i | 0.0959128 | + | 0.288218i | ||||
\(175\) | 61.8720 | + | 24.1996i | 0.353554 | + | 0.138283i | ||||
\(176\) | −30.7138 | − | 271.554i | −0.174510 | − | 1.54292i | ||||
\(177\) | −318.344 | + | 124.073i | −1.79855 | + | 0.700976i | ||||
\(178\) | 108.333 | − | 70.6569i | 0.608611 | − | 0.396949i | ||||
\(179\) | −25.7767 | + | 35.4786i | −0.144004 | + | 0.198204i | −0.874926 | − | 0.484256i | \(-0.839090\pi\) |
0.730922 | + | 0.682461i | \(0.239090\pi\) | |||||||
\(180\) | −174.370 | − | 44.6674i | −0.968721 | − | 0.248152i | ||||
\(181\) | −162.551 | + | 118.100i | −0.898071 | + | 0.652486i | −0.937970 | − | 0.346717i | \(-0.887296\pi\) |
0.0398991 | + | 0.999204i | \(0.487296\pi\) | |||||||
\(182\) | 56.5762 | + | 21.5894i | 0.310858 | + | 0.118623i | ||||
\(183\) | −53.7049 | + | 204.610i | −0.293469 | + | 1.11809i | ||||
\(184\) | −51.0069 | + | 0.302424i | −0.277211 | + | 0.00164361i | ||||
\(185\) | −132.674 | − | 231.482i | −0.717157 | − | 1.25125i | ||||
\(186\) | −1.47325 | − | 207.746i | −0.00792071 | − | 1.11692i | ||||
\(187\) | 348.520 | + | 177.580i | 1.86374 | + | 0.949625i | ||||
\(188\) | −44.2697 | + | 17.1946i | −0.235477 | + | 0.0914607i | ||||
\(189\) | 41.2785 | − | 58.6881i | 0.218405 | − | 0.310519i | ||||
\(190\) | −104.783 | + | 143.864i | −0.551489 | + | 0.757180i | ||||
\(191\) | −59.5137 | − | 183.164i | −0.311590 | − | 0.958976i | −0.977135 | − | 0.212618i | \(-0.931801\pi\) |
0.665545 | − | 0.746358i | \(-0.268199\pi\) | |||||||
\(192\) | 123.345 | + | 147.140i | 0.642420 | + | 0.766353i | ||||
\(193\) | −1.57125 | + | 1.57125i | −0.00814119 | + | 0.00814119i | −0.711166 | − | 0.703024i | \(-0.751832\pi\) |
0.703024 | + | 0.711166i | \(0.251832\pi\) | |||||||
\(194\) | 60.9881 | − | 106.118i | 0.314371 | − | 0.547001i | ||||
\(195\) | 143.149 | − | 93.3613i | 0.734097 | − | 0.478776i | ||||
\(196\) | −163.947 | + | 35.5259i | −0.836464 | + | 0.181255i | ||||
\(197\) | −141.289 | + | 22.3780i | −0.717203 | + | 0.113594i | −0.504361 | − | 0.863493i | \(-0.668272\pi\) |
−0.212842 | + | 0.977087i | \(0.568272\pi\) | |||||||
\(198\) | 236.551 | − | 196.384i | 1.19470 | − | 0.991839i | ||||
\(199\) | 367.304 | 1.84575 | 0.922875 | − | 0.385099i | \(-0.125833\pi\) | ||||
0.922875 | + | 0.385099i | \(0.125833\pi\) | |||||||
\(200\) | −199.722 | − | 10.5435i | −0.998609 | − | 0.0527176i | ||||
\(201\) | −12.3045 | + | 123.124i | −0.0612163 | + | 0.612559i | ||||
\(202\) | −98.1069 | + | 121.643i | −0.485677 | + | 0.602191i | ||||
\(203\) | −23.1212 | + | 3.66204i | −0.113898 | + | 0.0180396i | ||||
\(204\) | −273.032 | + | 31.2025i | −1.33839 | + | 0.152953i | ||||
\(205\) | 49.1082 | − | 180.988i | 0.239552 | − | 0.882868i | ||||
\(206\) | −87.7637 | + | 152.707i | −0.426037 | + | 0.741298i | ||||
\(207\) | −31.7441 | − | 47.8038i | −0.153353 | − | 0.230936i | ||||
\(208\) | −182.117 | − | 8.10125i | −0.875561 | − | 0.0389483i | ||||
\(209\) | −93.9391 | − | 289.115i | −0.449469 | − | 1.38332i | ||||
\(210\) | 32.1395 | − | 72.9580i | 0.153045 | − | 0.347419i | ||||
\(211\) | −87.3676 | − | 28.3874i | −0.414064 | − | 0.134538i | 0.0945743 | − | 0.995518i | \(-0.469851\pi\) |
−0.508638 | + | 0.860980i | \(0.669851\pi\) | |||||||
\(212\) | 339.936 | − | 132.033i | 1.60347 | − | 0.622798i | ||||
\(213\) | 60.3278 | + | 38.7401i | 0.283229 | + | 0.181878i | ||||
\(214\) | 15.6653 | + | 146.264i | 0.0732021 | + | 0.683475i | ||||
\(215\) | 265.927 | − | 55.6481i | 1.23687 | − | 0.258828i | ||||
\(216\) | −62.3625 | + | 206.802i | −0.288715 | + | 0.957415i | ||||
\(217\) | 90.8820 | + | 14.3943i | 0.418811 | + | 0.0663331i | ||||
\(218\) | 40.5499 | + | 15.4738i | 0.186009 | + | 0.0709806i | ||||
\(219\) | 167.444 | + | 286.626i | 0.764586 | + | 1.30880i | ||||
\(220\) | 214.768 | − | 265.650i | 0.976220 | − | 1.20750i | ||||
\(221\) | 153.366 | − | 211.090i | 0.693963 | − | 0.955158i | ||||
\(222\) | −284.235 | + | 147.373i | −1.28034 | + | 0.663843i | ||||
\(223\) | −55.2396 | + | 28.1460i | −0.247711 | + | 0.126215i | −0.573439 | − | 0.819249i | \(-0.694391\pi\) |
0.325727 | + | 0.945464i | \(0.394391\pi\) | |||||||
\(224\) | −73.2216 | + | 43.2448i | −0.326882 | + | 0.193057i | ||||
\(225\) | −113.263 | − | 194.413i | −0.503390 | − | 0.864059i | ||||
\(226\) | 246.175 | − | 110.188i | 1.08927 | − | 0.487556i | ||||
\(227\) | −243.722 | + | 124.183i | −1.07366 | + | 0.547060i | −0.899170 | − | 0.437599i | \(-0.855829\pi\) |
−0.174494 | + | 0.984658i | \(0.555829\pi\) | |||||||
\(228\) | 167.190 | + | 132.896i | 0.733291 | + | 0.582877i | ||||
\(229\) | −189.769 | + | 261.194i | −0.828684 | + | 1.14059i | 0.159483 | + | 0.987201i | \(0.449017\pi\) |
−0.988167 | + | 0.153385i | \(0.950983\pi\) | |||||||
\(230\) | −45.0317 | − | 45.1381i | −0.195790 | − | 0.196252i | ||||
\(231\) | 68.6874 | + | 117.577i | 0.297348 | + | 0.508992i | ||||
\(232\) | 62.6002 | − | 32.3653i | 0.269828 | − | 0.139506i | ||||
\(233\) | −361.578 | − | 57.2683i | −1.55184 | − | 0.245787i | −0.679124 | − | 0.734024i | \(-0.737640\pi\) |
−0.872711 | + | 0.488237i | \(0.837640\pi\) | |||||||
\(234\) | −104.702 | − | 176.343i | −0.447446 | − | 0.753603i | ||||
\(235\) | −54.1558 | − | 24.3168i | −0.230450 | − | 0.103476i | ||||
\(236\) | 229.336 | + | 393.620i | 0.971763 | + | 1.66788i | ||||
\(237\) | −55.6176 | − | 35.7154i | −0.234673 | − | 0.150698i | ||||
\(238\) | 6.12985 | − | 121.561i | 0.0257557 | − | 0.510760i | ||||
\(239\) | 165.691 | + | 53.8363i | 0.693268 | + | 0.225256i | 0.634395 | − | 0.773009i | \(-0.281249\pi\) |
0.0588730 | + | 0.998265i | \(0.481249\pi\) | |||||||
\(240\) | −22.7310 | + | 238.921i | −0.0947127 | + | 0.995505i | ||||
\(241\) | 24.0588 | + | 74.0453i | 0.0998290 | + | 0.307242i | 0.988482 | − | 0.151338i | \(-0.0483582\pi\) |
−0.888653 | + | 0.458580i | \(0.848358\pi\) | |||||||
\(242\) | 89.0321 | + | 329.665i | 0.367901 | + | 1.36225i | ||||
\(243\) | −233.035 | + | 68.8749i | −0.958991 | + | 0.283436i | ||||
\(244\) | 280.624 | + | 28.3737i | 1.15010 | + | 0.116286i | ||||
\(245\) | −175.499 | − | 114.760i | −0.716324 | − | 0.468407i | ||||
\(246\) | −214.512 | − | 68.0212i | −0.872000 | − | 0.276509i | ||||
\(247\) | −200.284 | + | 31.7219i | −0.810867 | + | 0.128429i | ||||
\(248\) | −273.330 | + | 44.9541i | −1.10214 | + | 0.181266i | ||||
\(249\) | 7.96266 | − | 79.6781i | 0.0319786 | − | 0.319992i | ||||
\(250\) | −165.886 | − | 187.034i | −0.663545 | − | 0.748136i | ||||
\(251\) | 48.4735 | 0.193122 | 0.0965608 | − | 0.995327i | \(-0.469216\pi\) | ||||
0.0965608 | + | 0.995327i | \(0.469216\pi\) | |||||||
\(252\) | −85.8483 | − | 42.2191i | −0.340668 | − | 0.167536i | ||||
\(253\) | 107.563 | − | 17.0363i | 0.425150 | − | 0.0673371i | ||||
\(254\) | 20.0055 | − | 95.0419i | 0.0787620 | − | 0.374181i | ||||
\(255\) | −267.382 | − | 215.656i | −1.04856 | − | 0.845708i | ||||
\(256\) | 168.268 | − | 192.930i | 0.657298 | − | 0.753631i | ||||
\(257\) | 119.532 | − | 119.532i | 0.465105 | − | 0.465105i | −0.435220 | − | 0.900324i | \(-0.643329\pi\) |
0.900324 | + | 0.435220i | \(0.143329\pi\) | |||||||
\(258\) | −53.2837 | − | 321.641i | −0.206526 | − | 1.24667i | ||||
\(259\) | −43.8203 | − | 134.865i | −0.169190 | − | 0.520714i | ||||
\(260\) | −152.610 | − | 169.220i | −0.586963 | − | 0.650845i | ||||
\(261\) | 69.0612 | + | 38.9360i | 0.264602 | + | 0.149180i | ||||
\(262\) | −163.340 | − | 8.23660i | −0.623434 | − | 0.0314374i | ||||
\(263\) | −293.675 | − | 149.635i | −1.11664 | − | 0.568954i | −0.204510 | − | 0.978865i | \(-0.565560\pi\) |
−0.912126 | + | 0.409910i | \(0.865560\pi\) | |||||||
\(264\) | −307.647 | − | 270.914i | −1.16533 | − | 1.02619i | ||||
\(265\) | 415.849 | + | 186.722i | 1.56924 | + | 0.704613i | ||||
\(266\) | −70.1716 | + | 63.4343i | −0.263803 | + | 0.238475i | ||||
\(267\) | 49.2536 | − | 187.651i | 0.184470 | − | 0.702813i | ||||
\(268\) | 164.722 | − | 9.28573i | 0.614634 | − | 0.0346483i | ||||
\(269\) | −270.180 | + | 196.297i | −1.00439 | + | 0.729729i | −0.963024 | − | 0.269415i | \(-0.913170\pi\) |
−0.0413614 | + | 0.999144i | \(0.513170\pi\) | |||||||
\(270\) | −238.811 | + | 125.973i | −0.884486 | + | 0.466567i | ||||
\(271\) | 120.119 | − | 165.330i | 0.443245 | − | 0.610075i | −0.527684 | − | 0.849441i | \(-0.676940\pi\) |
0.970929 | + | 0.239366i | \(0.0769395\pi\) | |||||||
\(272\) | 97.6295 | + | 353.167i | 0.358932 | + | 1.29841i | ||||
\(273\) | 84.6326 | − | 32.9851i | 0.310009 | − | 0.120824i | ||||
\(274\) | −86.4075 | − | 193.047i | −0.315356 | − | 0.704550i | ||||
\(275\) | 424.942 | − | 41.9535i | 1.54525 | − | 0.152558i | ||||
\(276\) | −56.3927 | + | 51.7098i | −0.204321 | + | 0.187354i | ||||
\(277\) | −84.3926 | + | 43.0002i | −0.304666 | + | 0.155235i | −0.599639 | − | 0.800270i | \(-0.704689\pi\) |
0.294973 | + | 0.955506i | \(0.404689\pi\) | |||||||
\(278\) | 62.4870 | − | 40.7553i | 0.224773 | − | 0.146602i | ||||
\(279\) | −210.878 | − | 229.439i | −0.755834 | − | 0.822362i | ||||
\(280\) | −102.752 | − | 27.2270i | −0.366971 | − | 0.0972394i | ||||
\(281\) | 249.643 | + | 343.604i | 0.888410 | + | 1.22279i | 0.974020 | + | 0.226463i | \(0.0727161\pi\) |
−0.0856098 | + | 0.996329i | \(0.527284\pi\) | |||||||
\(282\) | −31.8902 | + | 63.7008i | −0.113086 | + | 0.225889i | ||||
\(283\) | 357.919 | + | 56.6888i | 1.26473 | + | 0.200314i | 0.752534 | − | 0.658554i | \(-0.228832\pi\) |
0.512198 | + | 0.858868i | \(0.328832\pi\) | |||||||
\(284\) | 38.5361 | − | 87.4824i | 0.135690 | − | 0.308037i | ||||
\(285\) | 28.4259 | + | 265.450i | 0.0997401 | + | 0.931404i | ||||
\(286\) | 386.998 | − | 41.4486i | 1.35314 | − | 0.144925i | ||||
\(287\) | 45.2498 | − | 88.8077i | 0.157665 | − | 0.309434i | ||||
\(288\) | 285.303 | + | 39.3235i | 0.990635 | + | 0.136540i | ||||
\(289\) | −223.923 | − | 72.7569i | −0.774819 | − | 0.251754i | ||||
\(290\) | 83.7463 | + | 27.3201i | 0.288780 | + | 0.0942071i | ||||
\(291\) | −39.0892 | − | 179.383i | −0.134327 | − | 0.616438i | ||||
\(292\) | 342.863 | − | 279.896i | 1.17419 | − | 0.958549i | ||||
\(293\) | −42.3667 | − | 42.3667i | −0.144596 | − | 0.144596i | 0.631103 | − | 0.775699i | \(-0.282603\pi\) |
−0.775699 | + | 0.631103i | \(0.782603\pi\) | |||||||
\(294\) | −146.456 | + | 204.615i | −0.498149 | + | 0.695969i | ||||
\(295\) | −149.118 | + | 549.575i | −0.505486 | + | 1.86296i | ||||
\(296\) | 252.964 | + | 343.870i | 0.854609 | + | 1.16172i | ||||
\(297\) | 65.1448 | − | 456.545i | 0.219343 | − | 1.53719i | ||||
\(298\) | 265.397 | + | 214.047i | 0.890594 | + | 0.718279i | ||||
\(299\) | − | 72.6450i | − | 0.242960i | ||||||
\(300\) | −232.622 | + | 189.438i | −0.775408 | + | 0.631460i | ||||
\(301\) | 144.399 | 0.479731 | ||||||||
\(302\) | 31.9651 | − | 39.6335i | 0.105845 | − | 0.131237i | ||||
\(303\) | 13.4654 | + | 234.025i | 0.0444404 | + | 0.772361i | ||||
\(304\) | 140.429 | − | 247.732i | 0.461937 | − | 0.814908i | ||||
\(305\) | 221.013 | + | 274.696i | 0.724631 | + | 0.900642i | ||||
\(306\) | −272.065 | + | 309.679i | −0.889103 | + | 1.01202i | ||||
\(307\) | 35.3662 | − | 35.3662i | 0.115199 | − | 0.115199i | −0.647157 | − | 0.762357i | \(-0.724042\pi\) |
0.762357 | + | 0.647157i | \(0.224042\pi\) | |||||||
\(308\) | 140.646 | − | 114.816i | 0.456643 | − | 0.372781i | ||||
\(309\) | 56.2506 | + | 258.138i | 0.182041 | + | 0.835399i | ||||
\(310\) | −279.884 | − | 203.852i | −0.902852 | − | 0.657589i | ||||
\(311\) | 156.232 | − | 480.831i | 0.502352 | − | 1.54608i | −0.302824 | − | 0.953046i | \(-0.597930\pi\) |
0.805177 | − | 0.593035i | \(-0.202070\pi\) | |||||||
\(312\) | −210.593 | + | 174.421i | −0.674979 | + | 0.559042i | ||||
\(313\) | 46.7571 | + | 23.8239i | 0.149384 | + | 0.0761148i | 0.527084 | − | 0.849813i | \(-0.323285\pi\) |
−0.377701 | + | 0.925928i | \(0.623285\pi\) | |||||||
\(314\) | −33.9965 | − | 317.419i | −0.108269 | − | 1.01089i | ||||
\(315\) | −37.7575 | − | 113.468i | −0.119865 | − | 0.360216i | ||||
\(316\) | −35.5273 | + | 80.6520i | −0.112428 | + | 0.255228i | ||||
\(317\) | −1.64587 | + | 10.3916i | −0.00519203 | + | 0.0327812i | −0.990148 | − | 0.140022i | \(-0.955283\pi\) |
0.984956 | + | 0.172804i | \(0.0552826\pi\) | |||||||
\(318\) | 244.877 | − | 489.143i | 0.770054 | − | 1.53818i | ||||
\(319\) | −121.725 | + | 88.4385i | −0.381583 | + | 0.277237i | ||||
\(320\) | 319.404 | − | 19.5278i | 0.998136 | − | 0.0610244i | ||||
\(321\) | 164.728 | + | 146.803i | 0.513172 | + | 0.457331i | ||||
\(322\) | −18.5126 | − | 28.3840i | −0.0574927 | − | 0.0881491i | ||||
\(323\) | 185.040 | + | 363.161i | 0.572878 | + | 1.12434i | ||||
\(324\) | 138.969 | + | 292.684i | 0.428916 | + | 0.903344i | ||||
\(325\) | 16.7022 | − | 284.349i | 0.0513915 | − | 0.874919i | ||||
\(326\) | 384.184 | − | 171.960i | 1.17848 | − | 0.527486i | ||||
\(327\) | 60.6587 | − | 23.6414i | 0.185501 | − | 0.0722979i | ||||
\(328\) | −45.1804 | + | 296.630i | −0.137745 | + | 0.904360i | ||||
\(329\) | −25.5258 | − | 18.5456i | −0.0775860 | − | 0.0563696i | ||||
\(330\) | −28.8313 | − | 511.598i | −0.0873675 | − | 1.55030i | ||||
\(331\) | −59.9504 | − | 82.5146i | −0.181119 | − | 0.249289i | 0.708798 | − | 0.705412i | \(-0.249238\pi\) |
−0.889917 | + | 0.456123i | \(0.849238\pi\) | |||||||
\(332\) | −106.597 | + | 6.00913i | −0.321077 | + | 0.0180998i | ||||
\(333\) | −167.512 | + | 450.093i | −0.503039 | + | 1.35163i | ||||
\(334\) | 326.906 | + | 361.626i | 0.978761 | + | 1.08271i | ||||
\(335\) | 152.822 | + | 138.477i | 0.456185 | + | 0.413365i | ||||
\(336\) | −37.8345 | + | 121.817i | −0.112603 | + | 0.362551i | ||||
\(337\) | 230.276 | − | 451.942i | 0.683311 | − | 1.34107i | −0.245092 | − | 0.969500i | \(-0.578818\pi\) |
0.928403 | − | 0.371574i | \(-0.121182\pi\) | |||||||
\(338\) | −3.94708 | + | 78.2745i | −0.0116778 | + | 0.231581i | ||||
\(339\) | 162.659 | − | 370.425i | 0.479819 | − | 1.09270i | ||||
\(340\) | −228.692 | + | 396.836i | −0.672623 | + | 1.16716i | ||||
\(341\) | 562.466 | − | 182.756i | 1.64946 | − | 0.535942i | ||||
\(342\) | 319.694 | − | 20.6702i | 0.934777 | − | 0.0604393i | ||||
\(343\) | −170.881 | − | 170.881i | −0.498197 | − | 0.498197i | ||||
\(344\) | −412.620 | + | 136.778i | −1.19948 | + | 0.397612i | ||||
\(345\) | −95.5181 | − | 4.81823i | −0.276864 | − | 0.0139659i | ||||
\(346\) | 117.477 | + | 24.7280i | 0.339529 | + | 0.0714682i | ||||
\(347\) | 48.5154 | + | 306.314i | 0.139814 | + | 0.882749i | 0.953489 | + | 0.301429i | \(0.0974636\pi\) |
−0.813675 | + | 0.581320i | \(0.802536\pi\) | |||||||
\(348\) | 36.9859 | − | 99.0263i | 0.106281 | − | 0.284558i | ||||
\(349\) | − | 38.5331i | − | 0.110410i | −0.998475 | − | 0.0552051i | \(-0.982419\pi\) | ||
0.998475 | − | 0.0552051i | \(-0.0175813\pi\) | |||||||
\(350\) | −65.9367 | − | 115.358i | −0.188391 | − | 0.329594i | ||||
\(351\) | −293.994 | − | 90.5610i | −0.837589 | − | 0.258009i | ||||
\(352\) | −293.140 | + | 461.312i | −0.832783 | + | 1.31055i | ||||
\(353\) | 3.96914 | + | 25.0602i | 0.0112440 | + | 0.0709919i | 0.992672 | − | 0.120837i | \(-0.0385580\pi\) |
−0.981428 | + | 0.191829i | \(0.938558\pi\) | |||||||
\(354\) | 651.371 | + | 206.548i | 1.84003 | + | 0.583470i | ||||
\(355\) | 111.690 | − | 42.4700i | 0.314621 | − | 0.119634i | ||||
\(356\) | −257.364 | − | 26.0220i | −0.722934 | − | 0.0730955i | ||||
\(357\) | −115.621 | − | 141.296i | −0.323869 | − | 0.395788i | ||||
\(358\) | 84.6743 | − | 22.8679i | 0.236520 | − | 0.0638767i | ||||
\(359\) | −315.161 | + | 102.402i | −0.877885 | + | 0.285242i | −0.713079 | − | 0.701084i | \(-0.752700\pi\) |
−0.164806 | + | 0.986326i | \(0.552700\pi\) | |||||||
\(360\) | 215.372 | + | 288.470i | 0.598255 | + | 0.801305i | ||||
\(361\) | −13.6698 | + | 42.0713i | −0.0378665 | + | 0.116541i | ||||
\(362\) | 401.338 | + | 20.2379i | 1.10867 | + | 0.0559059i | ||||
\(363\) | 431.000 | + | 276.770i | 1.18733 | + | 0.762453i | ||||
\(364\) | −60.9696 | − | 104.645i | −0.167499 | − | 0.287486i | ||||
\(365\) | 550.037 | + | 59.5667i | 1.50695 | + | 0.163196i | ||||
\(366\) | 340.508 | − | 251.102i | 0.930350 | − | 0.686072i | ||||
\(367\) | −48.6291 | + | 307.032i | −0.132504 | + | 0.836600i | 0.828484 | + | 0.560012i | \(0.189204\pi\) |
−0.960989 | + | 0.276588i | \(0.910796\pi\) | |||||||
\(368\) | 79.7860 | + | 63.5717i | 0.216810 | + | 0.172749i | ||||
\(369\) | −306.953 | + | 140.444i | −0.831852 | + | 0.380608i | ||||
\(370\) | −84.0973 | + | 526.947i | −0.227290 | + | 1.42418i | ||||
\(371\) | 196.006 | + | 142.407i | 0.528319 | + | 0.383846i | ||||
\(372\) | −258.546 | + | 325.265i | −0.695016 | + | 0.874367i | ||||
\(373\) | −61.5794 | − | 120.856i | −0.165092 | − | 0.324012i | 0.793608 | − | 0.608429i | \(-0.208200\pi\) |
−0.958701 | + | 0.284417i | \(0.908200\pi\) | |||||||
\(374\) | −319.605 | − | 714.042i | −0.854558 | − | 1.90920i | ||||
\(375\) | −372.772 | − | 40.8208i | −0.994058 | − | 0.108855i | ||||
\(376\) | 90.5069 | + | 28.8153i | 0.240710 | + | 0.0766366i | ||||
\(377\) | 45.5651 | + | 89.4265i | 0.120862 | + | 0.237206i | ||||
\(378\) | −137.948 | + | 39.5364i | −0.364943 | + | 0.104594i | ||||
\(379\) | −233.543 | − | 169.679i | −0.616208 | − | 0.447701i | 0.235387 | − | 0.971902i | \(-0.424364\pi\) |
−0.851595 | + | 0.524201i | \(0.824364\pi\) | |||||||
\(380\) | 343.755 | − | 92.4025i | 0.904617 | − | 0.243164i | ||||
\(381\) | −73.4878 | − | 125.794i | −0.192881 | − | 0.330169i | ||||
\(382\) | −137.326 | + | 359.870i | −0.359491 | + | 0.942067i | ||||
\(383\) | 52.7648 | − | 333.144i | 0.137767 | − | 0.869827i | −0.817896 | − | 0.575366i | \(-0.804860\pi\) |
0.955663 | − | 0.294461i | \(-0.0951402\pi\) | |||||||
\(384\) | −7.27618 | − | 383.931i | −0.0189484 | − | 0.999820i | ||||
\(385\) | 225.631 | + | 24.4349i | 0.586055 | + | 0.0634673i | ||||
\(386\) | 4.41889 | − | 0.473276i | 0.0114479 | − | 0.00122610i | ||||
\(387\) | −383.182 | − | 303.857i | −0.990134 | − | 0.785160i | ||||
\(388\) | −228.183 | + | 88.6277i | −0.588101 | + | 0.228422i | ||||
\(389\) | 20.4556 | − | 62.9557i | 0.0525850 | − | 0.161840i | −0.921315 | − | 0.388816i | \(-0.872884\pi\) |
0.973900 | + | 0.226976i | \(0.0728840\pi\) | |||||||
\(390\) | −340.072 | − | 34.3903i | −0.871980 | − | 0.0881803i | ||||
\(391\) | −138.868 | + | 45.1211i | −0.355162 | + | 0.115399i | ||||
\(392\) | 299.834 | + | 150.540i | 0.764882 | + | 0.384032i | ||||
\(393\) | −189.858 | + | 155.359i | −0.483099 | + | 0.395314i | ||||
\(394\) | 248.052 | + | 142.560i | 0.629575 | + | 0.361828i | ||||
\(395\) | −102.970 | + | 39.1541i | −0.260683 | + | 0.0991243i | ||||
\(396\) | −614.830 | + | 8.72068i | −1.55260 | + | 0.0220219i | ||||
\(397\) | −65.6906 | − | 414.754i | −0.165468 | − | 1.04472i | −0.920987 | − | 0.389594i | \(-0.872615\pi\) |
0.755519 | − | 0.655127i | \(-0.227385\pi\) | |||||||
\(398\) | −571.811 | − | 461.175i | −1.43671 | − | 1.15873i | ||||
\(399\) | −14.1096 | + | 141.187i | −0.0353624 | + | 0.353853i | ||||
\(400\) | 297.684 | + | 267.178i | 0.744211 | + | 0.667945i | ||||
\(401\) | 516.078i | 1.28698i | 0.765456 | + | 0.643488i | \(0.222514\pi\) | ||||
−0.765456 | + | 0.643488i | \(0.777486\pi\) | |||||||
\(402\) | 173.746 | − | 176.228i | 0.432204 | − | 0.438378i | ||||
\(403\) | −61.7142 | − | 389.648i | −0.153137 | − | 0.966868i | ||||
\(404\) | 305.461 | − | 66.1907i | 0.756091 | − | 0.163838i | ||||
\(405\) | −138.575 | + | 380.555i | −0.342160 | + | 0.939642i | ||||
\(406\) | 40.5925 | + | 23.3292i | 0.0999815 | + | 0.0574612i | ||||
\(407\) | −644.481 | − | 644.481i | −1.58349 | − | 1.58349i | ||||
\(408\) | 464.227 | + | 294.235i | 1.13781 | + | 0.721164i | ||||
\(409\) | 283.300 | − | 92.0496i | 0.692664 | − | 0.225060i | 0.0585327 | − | 0.998285i | \(-0.481358\pi\) |
0.634131 | + | 0.773225i | \(0.281358\pi\) | |||||||
\(410\) | −303.693 | + | 220.099i | −0.740714 | + | 0.536827i | ||||
\(411\) | −290.482 | − | 127.555i | −0.706769 | − | 0.310352i | ||||
\(412\) | 328.363 | − | 127.538i | 0.796997 | − | 0.309558i | ||||
\(413\) | −137.402 | + | 269.667i | −0.332693 | + | 0.652947i | ||||
\(414\) | −10.6024 | + | 114.277i | −0.0256096 | + | 0.276031i | ||||
\(415\) | −98.8966 | − | 89.6136i | −0.238305 | − | 0.215936i | ||||
\(416\) | 273.343 | + | 241.272i | 0.657075 | + | 0.579980i | ||||
\(417\) | 28.4098 | − | 108.238i | 0.0681290 | − | 0.259564i | ||||
\(418\) | −216.761 | + | 568.034i | −0.518566 | + | 1.35893i | ||||
\(419\) | 479.497 | + | 659.971i | 1.14438 | + | 1.57511i | 0.757302 | + | 0.653064i | \(0.226517\pi\) |
0.387082 | + | 0.922045i | \(0.373483\pi\) | |||||||
\(420\) | −141.638 | + | 73.2260i | −0.337233 | + | 0.174348i | ||||
\(421\) | −489.358 | − | 355.539i | −1.16237 | − | 0.844511i | −0.172294 | − | 0.985046i | \(-0.555118\pi\) |
−0.990076 | + | 0.140535i | \(0.955118\pi\) | |||||||
\(422\) | 100.369 | + | 153.889i | 0.237842 | + | 0.364665i | ||||
\(423\) | 28.7109 | + | 102.927i | 0.0678744 | + | 0.243326i | ||||
\(424\) | −694.980 | − | 221.266i | −1.63910 | − | 0.521854i | ||||
\(425\) | −553.936 | + | 144.686i | −1.30338 | + | 0.340437i | ||||
\(426\) | −45.2762 | − | 136.055i | −0.106282 | − | 0.319378i | ||||
\(427\) | 85.0716 | + | 166.962i | 0.199231 | + | 0.391012i | ||||
\(428\) | 159.257 | − | 247.369i | 0.372095 | − | 0.577964i | ||||
\(429\) | 388.426 | − | 435.853i | 0.905421 | − | 1.01597i | ||||
\(430\) | −483.859 | − | 247.258i | −1.12525 | − | 0.575018i | ||||
\(431\) | −321.103 | + | 233.295i | −0.745019 | + | 0.541288i | −0.894279 | − | 0.447510i | \(-0.852311\pi\) |
0.149260 | + | 0.988798i | \(0.452311\pi\) | |||||||
\(432\) | 356.738 | − | 243.644i | 0.825782 | − | 0.563990i | ||||
\(433\) | −54.7792 | + | 345.862i | −0.126511 | + | 0.798758i | 0.840085 | + | 0.542454i | \(0.182505\pi\) |
−0.966596 | + | 0.256304i | \(0.917495\pi\) | |||||||
\(434\) | −123.410 | − | 136.517i | −0.284355 | − | 0.314555i | ||||
\(435\) | 120.606 | − | 53.9805i | 0.277254 | − | 0.124093i | ||||
\(436\) | −43.6988 | − | 75.0023i | −0.100227 | − | 0.172024i | ||||
\(437\) | 101.110 | + | 51.5182i | 0.231373 | + | 0.117891i | ||||
\(438\) | 99.2048 | − | 656.450i | 0.226495 | − | 1.49874i | ||||
\(439\) | 128.718 | − | 396.154i | 0.293208 | − | 0.902400i | −0.690610 | − | 0.723227i | \(-0.742658\pi\) |
0.983818 | − | 0.179173i | \(-0.0573422\pi\) | |||||||
\(440\) | −667.887 | + | 143.901i | −1.51792 | + | 0.327048i | ||||
\(441\) | 43.2915 | + | 374.951i | 0.0981666 | + | 0.850229i | ||||
\(442\) | −503.794 | + | 136.059i | −1.13980 | + | 0.307825i | ||||
\(443\) | −352.115 | + | 352.115i | −0.794842 | + | 0.794842i | −0.982277 | − | 0.187435i | \(-0.939983\pi\) |
0.187435 | + | 0.982277i | \(0.439983\pi\) | |||||||
\(444\) | 627.527 | + | 127.449i | 1.41335 | + | 0.287047i | ||||
\(445\) | −202.694 | − | 251.928i | −0.455492 | − | 0.566130i | ||||
\(446\) | 121.335 | + | 25.5400i | 0.272051 | + | 0.0572646i | ||||
\(447\) | 510.591 | − | 29.3786i | 1.14226 | − | 0.0657239i | ||||
\(448\) | 168.286 | + | 24.6121i | 0.375639 | + | 0.0549377i | ||||
\(449\) | −98.4686 | −0.219306 | −0.109653 | − | 0.993970i | \(-0.534974\pi\) | ||||
−0.109653 | + | 0.993970i | \(0.534974\pi\) | |||||||
\(450\) | −67.7740 | + | 444.867i | −0.150609 | + | 0.988593i | ||||
\(451\) | − | 640.622i | − | 1.42045i | ||||||
\(452\) | −521.587 | − | 137.552i | −1.15395 | − | 0.304318i | ||||
\(453\) | −4.38730 | − | 76.2500i | −0.00968499 | − | 0.168322i | ||||
\(454\) | 535.340 | + | 112.685i | 1.17916 | + | 0.248204i | ||||
\(455\) | 39.6436 | − | 146.106i | 0.0871287 | − | 0.321112i | ||||
\(456\) | −93.4181 | − | 416.808i | −0.204864 | − | 0.914053i | ||||
\(457\) | 488.649 | + | 488.649i | 1.06925 | + | 1.06925i | 0.997416 | + | 0.0718369i | \(0.0228861\pi\) |
0.0718369 | + | 0.997416i | \(0.477114\pi\) | |||||||
\(458\) | 623.374 | − | 168.354i | 1.36108 | − | 0.367584i | ||||
\(459\) | 9.48800 | + | 618.249i | 0.0206710 | + | 1.34695i | ||||
\(460\) | 13.4305 | + | 126.810i | 0.0291967 | + | 0.275674i | ||||
\(461\) | −739.155 | − | 240.166i | −1.60337 | − | 0.520967i | −0.635434 | − | 0.772155i | \(-0.719179\pi\) |
−0.967938 | + | 0.251188i | \(0.919179\pi\) | |||||||
\(462\) | 40.6949 | − | 269.283i | 0.0880841 | − | 0.582863i | ||||
\(463\) | −160.507 | + | 315.013i | −0.346668 | + | 0.680375i | −0.996842 | − | 0.0794109i | \(-0.974696\pi\) |
0.650174 | + | 0.759786i | \(0.274696\pi\) | |||||||
\(464\) | −138.091 | − | 28.2131i | −0.297610 | − | 0.0608041i | ||||
\(465\) | −516.427 | + | 55.3020i | −1.11059 | + | 0.118929i | ||||
\(466\) | 490.991 | + | 543.139i | 1.05363 | + | 1.16553i | ||||
\(467\) | 362.007 | + | 57.3363i | 0.775176 | + | 0.122776i | 0.531474 | − | 0.847074i | \(-0.321638\pi\) |
0.243702 | + | 0.969850i | \(0.421638\pi\) | |||||||
\(468\) | −58.4124 | + | 405.987i | −0.124813 | + | 0.867494i | ||||
\(469\) | 64.4264 | + | 88.6753i | 0.137370 | + | 0.189073i | ||||
\(470\) | 53.7771 | + | 105.852i | 0.114419 | + | 0.225217i | ||||
\(471\) | −357.491 | − | 318.590i | −0.759004 | − | 0.676412i | ||||
\(472\) | 137.192 | − | 900.725i | 0.290660 | − | 1.90832i | ||||
\(473\) | 826.945 | − | 421.349i | 1.74830 | − | 0.890802i | ||||
\(474\) | 41.7412 | + | 125.432i | 0.0880615 | + | 0.264625i | ||||
\(475\) | 383.923 | + | 224.901i | 0.808259 | + | 0.473475i | ||||
\(476\) | −162.171 | + | 181.547i | −0.340694 | + | 0.381400i | ||||
\(477\) | −220.464 | − | 790.350i | −0.462188 | − | 1.65692i | ||||
\(478\) | −190.349 | − | 291.847i | −0.398219 | − | 0.610559i | ||||
\(479\) | 529.367 | − | 728.611i | 1.10515 | − | 1.52111i | 0.276774 | − | 0.960935i | \(-0.410735\pi\) |
0.828376 | − | 0.560173i | \(-0.189265\pi\) | |||||||
\(480\) | 335.369 | − | 343.406i | 0.698684 | − | 0.715430i | ||||
\(481\) | −491.864 | + | 357.360i | −1.02259 | + | 0.742953i | ||||
\(482\) | 55.5147 | − | 145.479i | 0.115176 | − | 0.301825i | ||||
\(483\) | −49.1660 | − | 12.9048i | −0.101793 | − | 0.0267180i | ||||
\(484\) | 275.313 | − | 625.000i | 0.568829 | − | 1.29132i | ||||
\(485\) | −279.140 | − | 125.338i | −0.575547 | − | 0.258429i | ||||
\(486\) | 449.260 | + | 185.368i | 0.924404 | + | 0.381415i | ||||
\(487\) | −821.922 | − | 418.790i | −1.68773 | − | 0.859939i | −0.989580 | − | 0.143983i | \(-0.954009\pi\) |
−0.698145 | − | 0.715956i | \(-0.745991\pi\) | |||||||
\(488\) | −401.243 | − | 396.513i | −0.822220 | − | 0.812527i | ||||
\(489\) | 253.848 | − | 578.091i | 0.519116 | − | 1.18219i | ||||
\(490\) | 129.125 | + | 399.006i | 0.263520 | + | 0.814299i | ||||
\(491\) | 105.266 | + | 323.975i | 0.214390 | + | 0.659826i | 0.999196 | + | 0.0400843i | \(0.0127627\pi\) |
−0.784806 | + | 0.619742i | \(0.787237\pi\) | |||||||
\(492\) | 248.542 | + | 375.228i | 0.505167 | + | 0.762658i | ||||
\(493\) | 142.647 | − | 142.647i | 0.289344 | − | 0.289344i | ||||
\(494\) | 351.627 | + | 202.086i | 0.711795 | + | 0.409081i | ||||
\(495\) | −547.324 | − | 539.634i | −1.10571 | − | 1.09017i | ||||
\(496\) | 481.957 | + | 273.201i | 0.971687 | + | 0.550808i | ||||
\(497\) | 62.7270 | − | 9.93499i | 0.126211 | − | 0.0199899i | ||||
\(498\) | −112.437 | + | 114.043i | −0.225778 | + | 0.229003i | ||||
\(499\) | −397.081 | −0.795754 | −0.397877 | − | 0.917439i | \(-0.630253\pi\) | ||||
−0.397877 | + | 0.917439i | \(0.630253\pi\) | |||||||
\(500\) | 23.4143 | + | 499.451i | 0.0468286 | + | 0.998903i | ||||
\(501\) | 727.603 | + | 72.7132i | 1.45230 | + | 0.145136i | ||||
\(502\) | −75.4625 | − | 60.8618i | −0.150324 | − | 0.121239i | ||||
\(503\) | −593.917 | + | 94.0673i | −1.18075 | + | 0.187012i | −0.715788 | − | 0.698318i | \(-0.753932\pi\) |
−0.464963 | + | 0.885330i | \(0.653932\pi\) | |||||||
\(504\) | 80.6377 | + | 173.514i | 0.159995 | + | 0.344274i | ||||
\(505\) | 326.985 | + | 213.817i | 0.647495 | + | 0.423399i | ||||
\(506\) | −188.842 | − | 108.531i | −0.373205 | − | 0.214488i | ||||
\(507\) | 74.4498 | + | 90.9823i | 0.146844 | + | 0.179452i | ||||
\(508\) | −150.476 | + | 122.841i | −0.296212 | + | 0.241812i | ||||
\(509\) | 110.521 | + | 340.149i | 0.217134 | + | 0.668268i | 0.998995 | + | 0.0448164i | \(0.0142703\pi\) |
−0.781862 | + | 0.623452i | \(0.785730\pi\) | |||||||
\(510\) | 145.484 | + | 671.443i | 0.285263 | + | 1.31656i | ||||
\(511\) | 279.657 | + | 90.8659i | 0.547273 | + | 0.177820i | ||||
\(512\) | −504.192 | + | 89.0762i | −0.984750 | + | 0.173977i | ||||
\(513\) | 334.540 | − | 344.969i | 0.652126 | − | 0.672453i | ||||
\(514\) | −336.165 | + | 36.0042i | −0.654017 | + | 0.0700471i | ||||
\(515\) | 401.691 | + | 180.365i | 0.779983 | + | 0.350224i | ||||
\(516\) | −320.891 | + | 567.624i | −0.621882 | + | 1.10005i | ||||
\(517\) | −200.297 | − | 31.7239i | −0.387421 | − | 0.0613614i | ||||
\(518\) | −101.114 | + | 264.974i | −0.195200 | + | 0.511533i | ||||
\(519\) | 155.489 | − | 90.8352i | 0.299593 | − | 0.175020i | ||||
\(520\) | 25.1138 | + | 455.050i | 0.0482958 | + | 0.875095i | ||||
\(521\) | 554.243 | − | 762.851i | 1.06381 | − | 1.46420i | 0.187615 | − | 0.982243i | \(-0.439924\pi\) |
0.876192 | − | 0.481962i | \(-0.160076\pi\) | |||||||
\(522\) | −58.6261 | − | 147.326i | −0.112311 | − | 0.282233i | ||||
\(523\) | −115.568 | + | 58.8851i | −0.220972 | + | 0.112591i | −0.560973 | − | 0.827834i | \(-0.689573\pi\) |
0.340000 | + | 0.940425i | \(0.389573\pi\) | |||||||
\(524\) | 243.942 | + | 217.906i | 0.465538 | + | 0.415852i | ||||
\(525\) | −189.480 | − | 61.8164i | −0.360914 | − | 0.117746i | ||||
\(526\) | 269.310 | + | 601.677i | 0.511996 | + | 1.14387i | ||||
\(527\) | −706.520 | + | 359.990i | −1.34065 | + | 0.683093i | ||||
\(528\) | 138.786 | + | 808.024i | 0.262852 | + | 1.53035i | ||||
\(529\) | 287.043 | − | 395.081i | 0.542615 | − | 0.746845i | ||||
\(530\) | −412.941 | − | 812.811i | −0.779134 | − | 1.53361i | ||||
\(531\) | 932.072 | − | 426.464i | 1.75532 | − | 0.803133i | ||||
\(532\) | 188.888 | − | 10.6480i | 0.355052 | − | 0.0200150i | ||||
\(533\) | −422.070 | − | 66.8493i | −0.791876 | − | 0.125421i | ||||
\(534\) | −312.285 | + | 230.290i | −0.584804 | + | 0.431254i | ||||
\(535\) | 359.954 | − | 75.3241i | 0.672811 | − | 0.140793i | ||||
\(536\) | −268.094 | − | 192.364i | −0.500176 | − | 0.358887i | ||||
\(537\) | 71.0884 | − | 110.702i | 0.132381 | − | 0.206149i | ||||
\(538\) | 667.073 | + | 33.6380i | 1.23991 | + | 0.0625241i | ||||
\(539\) | −681.256 | − | 221.353i | −1.26393 | − | 0.410674i | ||||
\(540\) | 529.943 | + | 103.732i | 0.981376 | + | 0.192096i | ||||
\(541\) | 69.6092 | + | 214.235i | 0.128668 | + | 0.395998i | 0.994551 | − | 0.104247i | \(-0.0332432\pi\) |
−0.865884 | + | 0.500245i | \(0.833243\pi\) | |||||||
\(542\) | −394.582 | + | 106.564i | −0.728012 | + | 0.196613i | ||||
\(543\) | 466.495 | − | 381.728i | 0.859107 | − | 0.702997i | ||||
\(544\) | 291.437 | − | 672.382i | 0.535730 | − | 1.23600i | ||||
\(545\) | 28.4138 | − | 104.719i | 0.0521353 | − | 0.192144i | ||||
\(546\) | −173.169 | − | 54.9114i | −0.317159 | − | 0.100570i | ||||
\(547\) | −714.988 | + | 113.243i | −1.30711 | + | 0.207025i | −0.770843 | − | 0.637025i | \(-0.780165\pi\) |
−0.536264 | + | 0.844050i | \(0.680165\pi\) | |||||||
\(548\) | −107.866 | + | 409.021i | −0.196836 | + | 0.746389i | ||||
\(549\) | 125.588 | − | 622.072i | 0.228758 | − | 1.13310i | ||||
\(550\) | −714.216 | − | 468.231i | −1.29857 | − | 0.851330i | ||||
\(551\) | −156.781 | −0.284539 | ||||||||
\(552\) | 152.716 | − | 9.69579i | 0.276659 | − | 0.0175648i | ||||
\(553\) | −57.8295 | + | 9.15929i | −0.104574 | + | 0.0165629i | ||||
\(554\) | 185.370 | + | 39.0189i | 0.334603 | + | 0.0704312i | ||||
\(555\) | 437.256 | + | 670.436i | 0.787849 | + | 1.20799i | ||||
\(556\) | −148.449 | − | 15.0096i | −0.266995 | − | 0.0269958i | ||||
\(557\) | 480.989 | − | 480.989i | 0.863534 | − | 0.863534i | −0.128212 | − | 0.991747i | \(-0.540924\pi\) |
0.991747 | + | 0.128212i | \(0.0409239\pi\) | |||||||
\(558\) | 40.2134 | + | 621.956i | 0.0720671 | + | 1.11462i | ||||
\(559\) | −191.311 | − | 588.796i | −0.342239 | − | 1.05330i | ||||
\(560\) | 125.776 | + | 171.398i | 0.224600 | + | 0.306068i | ||||
\(561\) | −1074.44 | − | 471.799i | −1.91522 | − | 0.840997i | ||||
\(562\) | 42.7795 | − | 848.359i | 0.0761202 | − | 1.50954i | ||||
\(563\) | −511.580 | − | 260.663i | −0.908668 | − | 0.462990i | −0.0637993 | − | 0.997963i | \(-0.520322\pi\) |
−0.844869 | + | 0.534973i | \(0.820322\pi\) | |||||||
\(564\) | 129.627 | − | 59.1276i | 0.229834 | − | 0.104836i | ||||
\(565\) | −335.293 | − | 585.000i | −0.593439 | − | 1.03540i | ||||
\(566\) | −486.023 | − | 537.643i | −0.858698 | − | 0.949899i | ||||
\(567\) | −113.517 | + | 182.887i | −0.200207 | + | 0.322552i | ||||
\(568\) | −169.832 | + | 87.8059i | −0.299000 | + | 0.154588i | ||||
\(569\) | −464.772 | + | 337.677i | −0.816823 | + | 0.593456i | −0.915801 | − | 0.401633i | \(-0.868443\pi\) |
0.0989780 | + | 0.995090i | \(0.468443\pi\) | |||||||
\(570\) | 289.037 | − | 448.937i | 0.507083 | − | 0.787609i | ||||
\(571\) | −30.6923 | + | 42.2443i | −0.0537518 | + | 0.0739829i | −0.835047 | − | 0.550179i | \(-0.814559\pi\) |
0.781295 | + | 0.624162i | \(0.214559\pi\) | |||||||
\(572\) | −654.511 | − | 421.376i | −1.14425 | − | 0.736671i | ||||
\(573\) | 209.811 | + | 538.330i | 0.366163 | + | 0.939494i | ||||
\(574\) | −181.948 | + | 81.4396i | −0.316982 | + | 0.141881i | ||||
\(575\) | −101.093 | + | 123.241i | −0.175814 | + | 0.214332i | ||||
\(576\) | −394.779 | − | 419.434i | −0.685381 | − | 0.728185i | ||||
\(577\) | −410.024 | + | 208.918i | −0.710614 | + | 0.362076i | −0.771639 | − | 0.636061i | \(-0.780563\pi\) |
0.0610256 | + | 0.998136i | \(0.480563\pi\) | |||||||
\(578\) | 257.247 | + | 394.416i | 0.445063 | + | 0.682381i | ||||
\(579\) | 4.43519 | − | 4.97674i | 0.00766009 | − | 0.00859540i | ||||
\(580\) | −96.0722 | − | 147.680i | −0.165642 | − | 0.254621i | ||||
\(581\) | −41.6926 | − | 57.3849i | −0.0717601 | − | 0.0987693i | ||||
\(582\) | −164.375 | + | 328.339i | −0.282431 | + | 0.564156i | ||||
\(583\) | 1538.03 | + | 243.600i | 2.63813 | + | 0.417838i | ||||
\(584\) | −885.190 | + | 5.24837i | −1.51574 | + | 0.00898694i | ||||
\(585\) | −412.649 | + | 304.290i | −0.705382 | + | 0.520154i | ||||
\(586\) | 12.7613 | + | 119.150i | 0.0217769 | + | 0.203327i | ||||
\(587\) | −76.8578 | + | 150.842i | −0.130933 | + | 0.256971i | −0.947161 | − | 0.320760i | \(-0.896062\pi\) |
0.816227 | + | 0.577731i | \(0.196062\pi\) | |||||||
\(588\) | 484.907 | − | 134.655i | 0.824671 | − | 0.229005i | ||||
\(589\) | 586.094 | + | 190.433i | 0.995066 | + | 0.323317i | ||||
\(590\) | 922.172 | − | 668.337i | 1.56300 | − | 1.13277i | ||||
\(591\) | 419.311 | − | 91.3715i | 0.709494 | − | 0.154605i | ||||
\(592\) | 37.9421 | − | 852.942i | 0.0640914 | − | 1.44078i | ||||
\(593\) | 458.063 | + | 458.063i | 0.772450 | + | 0.772450i | 0.978534 | − | 0.206085i | \(-0.0660722\pi\) |
−0.206085 | + | 0.978534i | \(0.566072\pi\) | |||||||
\(594\) | −674.638 | + | 628.944i | −1.13575 | + | 1.05883i | ||||
\(595\) | −303.920 | + | 14.9662i | −0.510790 | + | 0.0251533i | ||||
\(596\) | −144.413 | − | 666.447i | −0.242304 | − | 1.11820i | ||||
\(597\) | −1100.09 | + | 63.2976i | −1.84270 | + | 0.106026i | ||||
\(598\) | −91.2106 | + | 113.092i | −0.152526 | + | 0.189117i | ||||
\(599\) | 474.846i | 0.792731i | 0.918093 | + | 0.396366i | \(0.129729\pi\) | ||||
−0.918093 | + | 0.396366i | \(0.870271\pi\) | |||||||
\(600\) | 599.993 | − | 2.83974i | 0.999989 | − | 0.00473290i | ||||
\(601\) | 373.211 | 0.620984 | 0.310492 | − | 0.950576i | \(-0.399506\pi\) | ||||
0.310492 | + | 0.950576i | \(0.399506\pi\) | |||||||
\(602\) | −224.797 | − | 181.302i | −0.373417 | − | 0.301167i | ||||
\(603\) | 15.6344 | − | 370.883i | 0.0259278 | − | 0.615064i | ||||
\(604\) | −99.5250 | + | 21.5662i | −0.164776 | + | 0.0357056i | ||||
\(605\) | 797.949 | − | 303.418i | 1.31892 | − | 0.501518i | ||||
\(606\) | 272.872 | − | 381.232i | 0.450284 | − | 0.629096i | ||||
\(607\) | 49.6589 | − | 49.6589i | 0.0818105 | − | 0.0818105i | −0.665017 | − | 0.746828i | \(-0.731576\pi\) |
0.746828 | + | 0.665017i | \(0.231576\pi\) | |||||||
\(608\) | −529.661 | + | 209.346i | −0.871152 | + | 0.344319i | ||||
\(609\) | 68.6180 | − | 14.9525i | 0.112673 | − | 0.0245525i | ||||
\(610\) | 0.831548 | − | 705.136i | 0.00136319 | − | 1.15596i | ||||
\(611\) | −41.8022 | + | 128.654i | −0.0684160 | + | 0.210563i | ||||
\(612\) | 812.368 | − | 140.505i | 1.32740 | − | 0.229583i | ||||
\(613\) | −947.382 | − | 482.715i | −1.54548 | − | 0.787463i | −0.546727 | − | 0.837311i | \(-0.684126\pi\) |
−0.998757 | + | 0.0498475i | \(0.984126\pi\) | |||||||
\(614\) | −99.4619 | + | 10.6526i | −0.161990 | + | 0.0173496i | ||||
\(615\) | −115.892 | + | 550.530i | −0.188442 | + | 0.895170i | ||||
\(616\) | −363.114 | + | 2.15294i | −0.589471 | + | 0.00349503i | ||||
\(617\) | −145.522 | + | 918.792i | −0.235855 | + | 1.48913i | 0.531036 | + | 0.847349i | \(0.321803\pi\) |
−0.766890 | + | 0.641778i | \(0.778197\pi\) | |||||||
\(618\) | 236.540 | − | 472.490i | 0.382751 | − | 0.764547i | ||||
\(619\) | −473.292 | + | 343.867i | −0.764607 | + | 0.555520i | −0.900320 | − | 0.435229i | \(-0.856668\pi\) |
0.135713 | + | 0.990748i | \(0.456668\pi\) | |||||||
\(620\) | 179.767 | + | 668.766i | 0.289946 | + | 1.07865i | ||||
\(621\) | 103.313 | + | 137.704i | 0.166366 | + | 0.221746i | ||||
\(622\) | −846.933 | + | 552.388i | −1.36163 | + | 0.888083i | ||||
\(623\) | −78.0204 | − | 153.124i | −0.125233 | − | 0.245784i | ||||
\(624\) | 546.844 | − | 7.12058i | 0.876353 | − | 0.0114112i | ||||
\(625\) | −424.036 | + | 459.150i | −0.678457 | + | 0.734640i | ||||
\(626\) | −42.8778 | − | 95.7952i | −0.0684949 | − | 0.153027i | ||||
\(627\) | 331.175 | + | 849.724i | 0.528190 | + | 1.35522i | ||||
\(628\) | −345.616 | + | 536.836i | −0.550344 | + | 0.854834i | ||||
\(629\) | 988.637 | + | 718.287i | 1.57176 | + | 1.14195i | ||||
\(630\) | −83.6865 | + | 224.051i | −0.132836 | + | 0.355637i | ||||
\(631\) | 157.252 | + | 216.439i | 0.249212 | + | 0.343010i | 0.915235 | − | 0.402921i | \(-0.132005\pi\) |
−0.666023 | + | 0.745931i | \(0.732005\pi\) | |||||||
\(632\) | 156.572 | − | 80.9503i | 0.247741 | − | 0.128086i | ||||
\(633\) | 266.562 | + | 69.9656i | 0.421109 | + | 0.110530i | ||||
\(634\) | 15.6096 | − | 14.1109i | 0.0246209 | − | 0.0222570i | ||||
\(635\) | −241.400 | − | 26.1426i | −0.380157 | − | 0.0411694i | ||||
\(636\) | −995.370 | + | 454.027i | −1.56505 | + | 0.713878i | ||||
\(637\) | −216.927 | + | 425.743i | −0.340545 | + | 0.668356i | ||||
\(638\) | 300.539 | + | 15.1551i | 0.471065 | + | 0.0237540i | ||||
\(639\) | −187.361 | − | 105.632i | −0.293209 | − | 0.165308i | ||||
\(640\) | −521.758 | − | 370.632i | −0.815248 | − | 0.579113i | ||||
\(641\) | −305.434 | + | 99.2414i | −0.476496 | + | 0.154823i | −0.537412 | − | 0.843320i | \(-0.680598\pi\) |
0.0609160 | + | 0.998143i | \(0.480598\pi\) | |||||||
\(642\) | −72.1238 | − | 435.367i | −0.112342 | − | 0.678142i | ||||
\(643\) | 617.078 | + | 617.078i | 0.959685 | + | 0.959685i | 0.999218 | − | 0.0395330i | \(-0.0125870\pi\) |
−0.0395330 | + | 0.999218i | \(0.512587\pi\) | |||||||
\(644\) | −6.81796 | + | 67.4314i | −0.0105869 | + | 0.104707i | ||||
\(645\) | −786.874 | + | 212.496i | −1.21996 | + | 0.329451i | ||||
\(646\) | 167.907 | − | 797.690i | 0.259918 | − | 1.23481i | ||||
\(647\) | 35.1944 | + | 222.208i | 0.0543962 | + | 0.343444i | 0.999844 | + | 0.0176702i | \(0.00562489\pi\) |
−0.945448 | + | 0.325774i | \(0.894375\pi\) | |||||||
\(648\) | 151.141 | − | 630.127i | 0.233242 | − | 0.972419i | ||||
\(649\) | 1945.27i | 2.99733i | ||||||||
\(650\) | −383.020 | + | 421.697i | −0.589262 | + | 0.648764i | ||||
\(651\) | −274.676 | − | 27.4499i | −0.421930 | − | 0.0421657i | ||||
\(652\) | −813.997 | − | 214.665i | −1.24846 | − | 0.329241i | ||||
\(653\) | 85.7333 | + | 541.299i | 0.131291 | + | 0.828941i | 0.962163 | + | 0.272476i | \(0.0878426\pi\) |
−0.830871 | + | 0.556465i | \(0.812157\pi\) | |||||||
\(654\) | −124.115 | − | 39.3567i | −0.189779 | − | 0.0601784i | ||||
\(655\) | 20.1099 | + | 408.373i | 0.0307022 | + | 0.623471i | ||||
\(656\) | 442.775 | − | 405.060i | 0.674961 | − | 0.617469i | ||||
\(657\) | −550.898 | − | 829.603i | −0.838505 | − | 1.26271i | ||||
\(658\) | 16.4528 | + | 60.9207i | 0.0250042 | + | 0.0925846i | ||||
\(659\) | 561.305 | − | 182.379i | 0.851752 | − | 0.276751i | 0.149572 | − | 0.988751i | \(-0.452210\pi\) |
0.702180 | + | 0.712000i | \(0.252210\pi\) | |||||||
\(660\) | −597.462 | + | 832.644i | −0.905245 | + | 1.26158i | ||||
\(661\) | 58.4893 | − | 180.011i | 0.0884860 | − | 0.272332i | −0.897015 | − | 0.441999i | \(-0.854269\pi\) |
0.985501 | + | 0.169667i | \(0.0542693\pi\) | |||||||
\(662\) | −10.2733 | + | 203.728i | −0.0155185 | + | 0.307747i | ||||
\(663\) | −422.960 | + | 658.653i | −0.637949 | + | 0.993444i | ||||
\(664\) | 173.493 | + | 124.485i | 0.261285 | + | 0.187478i | ||||
\(665\) | 175.242 | + | 158.793i | 0.263522 | + | 0.238786i | ||||
\(666\) | 825.900 | − | 490.372i | 1.24009 | − | 0.736294i | ||||
\(667\) | 8.78628 | − | 55.4744i | 0.0131728 | − | 0.0831700i | ||||
\(668\) | −54.8740 | − | 973.424i | −0.0821467 | − | 1.45722i | ||||
\(669\) | 160.595 | − | 93.8180i | 0.240052 | − | 0.140236i | ||||
\(670\) | −64.0423 | − | 407.457i | −0.0955855 | − | 0.608144i | ||||
\(671\) | 974.377 | + | 707.926i | 1.45213 | + | 1.05503i | ||||
\(672\) | 211.850 | − | 142.138i | 0.315252 | − | 0.211516i | ||||
\(673\) | −389.342 | − | 764.126i | −0.578516 | − | 1.13540i | −0.975995 | − | 0.217791i | \(-0.930115\pi\) |
0.397479 | − | 0.917611i | \(-0.369885\pi\) | |||||||
\(674\) | −925.931 | + | 414.446i | −1.37378 | + | 0.614905i | ||||
\(675\) | 372.731 | + | 562.758i | 0.552193 | + | 0.833716i | ||||
\(676\) | 104.424 | − | 116.900i | 0.154473 | − | 0.172929i | ||||
\(677\) | −1.95003 | − | 3.82715i | −0.00288040 | − | 0.00565311i | 0.889562 | − | 0.456815i | \(-0.151010\pi\) |
−0.892442 | + | 0.451162i | \(0.851010\pi\) | |||||||
\(678\) | −718.317 | + | 372.440i | −1.05946 | + | 0.549322i | ||||
\(679\) | −131.570 | − | 95.5912i | −0.193770 | − | 0.140782i | ||||
\(680\) | 854.276 | − | 330.647i | 1.25629 | − | 0.486246i | ||||
\(681\) | 708.558 | − | 413.933i | 1.04047 | − | 0.607831i | ||||
\(682\) | −1105.10 | − | 421.703i | −1.62037 | − | 0.618332i | ||||
\(683\) | 26.5405 | − | 167.570i | 0.0388587 | − | 0.245344i | −0.960611 | − | 0.277895i | \(-0.910363\pi\) |
0.999470 | + | 0.0325511i | \(0.0103632\pi\) | |||||||
\(684\) | −523.645 | − | 369.218i | −0.765562 | − | 0.539792i | ||||
\(685\) | −458.748 | + | 262.932i | −0.669706 | + | 0.383842i | ||||
\(686\) | 51.4712 | + | 480.577i | 0.0750309 | + | 0.700550i | ||||
\(687\) | 523.354 | − | 814.991i | 0.761796 | − | 1.18630i | ||||
\(688\) | 814.092 | + | 305.139i | 1.18327 | + | 0.443516i | ||||
\(689\) | 320.989 | − | 987.901i | 0.465876 | − | 1.43382i | ||||
\(690\) | 142.651 | + | 127.430i | 0.206740 | + | 0.184682i | ||||
\(691\) | 929.684 | − | 302.073i | 1.34542 | − | 0.437153i | 0.454270 | − | 0.890864i | \(-0.349900\pi\) |
0.891149 | + | 0.453711i | \(0.149900\pi\) | |||||||
\(692\) | −151.838 | − | 185.996i | −0.219419 | − | 0.268781i | ||||
\(693\) | −225.984 | − | 340.312i | −0.326095 | − | 0.491071i | ||||
\(694\) | 309.070 | − | 537.777i | 0.445346 | − | 0.774894i | ||||
\(695\) | −116.915 | − | 145.313i | −0.168223 | − | 0.209084i | ||||
\(696\) | −181.913 | + | 107.723i | −0.261369 | + | 0.154775i | ||||
\(697\) | 134.366 | + | 848.351i | 0.192777 | + | 1.21715i | ||||
\(698\) | −48.3809 | + | 59.9875i | −0.0693136 | + | 0.0859420i | ||||
\(699\) | 1092.81 | + | 109.210i | 1.56339 | + | 0.156238i | ||||
\(700\) | −42.1906 | + | 262.374i | −0.0602722 | + | 0.374820i | ||||
\(701\) | 668.135i | 0.953117i | 0.879143 | + | 0.476559i | \(0.158116\pi\) | ||||
−0.879143 | + | 0.476559i | \(0.841884\pi\) | |||||||
\(702\) | 343.977 | + | 510.112i | 0.489996 | + | 0.726655i | ||||
\(703\) | −148.569 | − | 938.029i | −0.211336 | − | 1.33432i | ||||
\(704\) | 1035.56 | − | 350.103i | 1.47097 | − | 0.497306i | ||||
\(705\) | 166.390 | + | 63.4971i | 0.236014 | + | 0.0900669i | ||||
\(706\) | 25.2856 | − | 43.9966i | 0.0358153 | − | 0.0623181i | ||||
\(707\) | 146.828 | + | 146.828i | 0.207678 | + | 0.207678i | ||||
\(708\) | −754.705 | − | 1139.39i | −1.06597 | − | 1.60931i | ||||
\(709\) | −1288.57 | + | 418.683i | −1.81745 | + | 0.590526i | −0.817559 | + | 0.575845i | \(0.804673\pi\) |
−0.999892 | + | 0.0146812i | \(0.995327\pi\) | |||||||
\(710\) | −227.201 | − | 74.1184i | −0.320001 | − | 0.104392i | ||||
\(711\) | 172.732 | + | 97.3846i | 0.242942 | + | 0.136968i | ||||
\(712\) | 367.986 | + | 363.648i | 0.516835 | + | 0.510742i | ||||
\(713\) | −100.227 | + | 196.707i | −0.140571 | + | 0.275887i | ||||
\(714\) | 2.58940 | + | 365.137i | 0.00362661 | + | 0.511396i | ||||
\(715\) | −199.300 | − | 952.399i | −0.278741 | − | 1.33203i | ||||
\(716\) | −160.531 | − | 70.7141i | −0.224205 | − | 0.0987626i | ||||
\(717\) | −505.530 | − | 132.689i | −0.705063 | − | 0.185061i | ||||
\(718\) | 619.208 | + | 236.288i | 0.862406 | + | 0.329093i | ||||
\(719\) | −341.034 | − | 469.393i | −0.474317 | − | 0.652841i | 0.503083 | − | 0.864238i | \(-0.332199\pi\) |
−0.977400 | + | 0.211397i | \(0.932199\pi\) | |||||||
\(720\) | 26.9072 | − | 719.497i | 0.0373712 | − | 0.999301i | ||||
\(721\) | 189.333 | + | 137.559i | 0.262598 | + | 0.190789i | ||||
\(722\) | 74.1041 | − | 48.3323i | 0.102637 | − | 0.0669422i | ||||
\(723\) | −84.8174 | − | 217.623i | −0.117313 | − | 0.301000i | ||||
\(724\) | −599.383 | − | 535.412i | −0.827877 | − | 0.739519i | ||||
\(725\) | 47.1459 | − | 215.119i | 0.0650288 | − | 0.296716i | ||||
\(726\) | −323.466 | − | 972.018i | −0.445546 | − | 1.33887i | ||||
\(727\) | −432.163 | − | 848.167i | −0.594446 | − | 1.16667i | −0.970733 | − | 0.240163i | \(-0.922799\pi\) |
0.376286 | − | 0.926503i | \(-0.377201\pi\) | |||||||
\(728\) | −36.4728 | + | 239.460i | −0.0501000 | + | 0.328929i | ||||
\(729\) | 686.081 | − | 246.442i | 0.941126 | − | 0.338056i | ||||
\(730\) | −781.495 | − | 783.340i | −1.07054 | − | 1.07307i | ||||
\(731\) | −1006.72 | + | 731.423i | −1.37718 | + | 1.00058i | ||||
\(732\) | −845.371 | − | 36.6207i | −1.15488 | − | 0.0500283i | ||||
\(733\) | 61.2001 | − | 386.402i | 0.0834926 | − | 0.527152i | −0.910123 | − | 0.414337i | \(-0.864013\pi\) |
0.993616 | − | 0.112815i | \(-0.0359866\pi\) | |||||||
\(734\) | 461.204 | − | 416.923i | 0.628343 | − | 0.568015i | ||||
\(735\) | 545.406 | + | 313.467i | 0.742048 | + | 0.426485i | ||||
\(736\) | −44.3905 | − | 199.144i | −0.0603131 | − | 0.270576i | ||||
\(737\) | 627.708 | + | 319.833i | 0.851707 | + | 0.433966i | ||||
\(738\) | 654.195 | + | 166.760i | 0.886443 | + | 0.225962i | ||||
\(739\) | −264.950 | + | 815.431i | −0.358525 | + | 1.10343i | 0.595413 | + | 0.803420i | \(0.296988\pi\) |
−0.953938 | + | 0.300005i | \(0.903012\pi\) | |||||||
\(740\) | 792.538 | − | 714.749i | 1.07100 | − | 0.965877i | ||||
\(741\) | 594.394 | − | 129.524i | 0.802151 | − | 0.174796i | ||||
\(742\) | −126.337 | − | 467.795i | −0.170265 | − | 0.630451i | ||||
\(743\) | 302.023 | − | 302.023i | 0.406491 | − | 0.406491i | −0.474022 | − | 0.880513i | \(-0.657198\pi\) |
0.880513 | + | 0.474022i | \(0.157198\pi\) | |||||||
\(744\) | 810.890 | − | 181.743i | 1.08991 | − | 0.244278i | ||||
\(745\) | 466.500 | − | 713.408i | 0.626174 | − | 0.957595i | ||||
\(746\) | −55.8779 | + | 265.463i | −0.0749033 | + | 0.355849i | ||||
\(747\) | −10.1176 | + | 240.012i | −0.0135443 | + | 0.321301i | ||||
\(748\) | −398.975 | + | 1512.89i | −0.533389 | + | 2.02258i | ||||
\(749\) | 195.456 | 0.260955 | ||||||||
\(750\) | 529.069 | + | 531.588i | 0.705425 | + | 0.708784i | ||||
\(751\) | 1362.58i | 1.81436i | 0.420746 | + | 0.907178i | \(0.361768\pi\) | ||||
−0.420746 | + | 0.907178i | \(0.638232\pi\) | |||||||
\(752\) | −104.719 | − | 158.497i | −0.139255 | − | 0.210767i | ||||
\(753\) | −145.180 | + | 8.35345i | −0.192803 | + | 0.0110936i | ||||
\(754\) | 41.3463 | − | 196.427i | 0.0548359 | − | 0.260513i | ||||
\(755\) | −106.538 | − | 69.6655i | −0.141110 | − | 0.0922722i | ||||
\(756\) | 264.395 | + | 111.654i | 0.349729 | + | 0.147690i | ||||
\(757\) | 555.724 | + | 555.724i | 0.734114 | + | 0.734114i | 0.971432 | − | 0.237318i | \(-0.0762683\pi\) |
−0.237318 | + | 0.971432i | \(0.576268\pi\) | |||||||
\(758\) | 150.531 | + | 557.380i | 0.198590 | + | 0.735330i | ||||
\(759\) | −319.220 | + | 69.5608i | −0.420580 | + | 0.0916480i | ||||
\(760\) | −651.167 | − | 287.757i | −0.856798 | − | 0.378627i | ||||
\(761\) | 439.174 | + | 142.696i | 0.577101 | + | 0.187512i | 0.583002 | − | 0.812471i | \(-0.301878\pi\) |
−0.00590035 | + | 0.999983i | \(0.501878\pi\) | |||||||
\(762\) | −43.5389 | + | 288.102i | −0.0571377 | + | 0.378087i | ||||
\(763\) | 26.1813 | − | 51.3837i | 0.0343136 | − | 0.0673443i | ||||
\(764\) | 665.625 | − | 387.815i | 0.871237 | − | 0.507611i | ||||
\(765\) | 837.985 | + | 599.820i | 1.09541 | + | 0.784079i | ||||
\(766\) | −500.427 | + | 452.381i | −0.653299 | + | 0.590575i | ||||
\(767\) | 1281.63 | + | 202.990i | 1.67096 | + | 0.264654i | ||||
\(768\) | −470.724 | + | 606.831i | −0.612921 | + | 0.790144i | ||||
\(769\) | −33.5792 | − | 46.2178i | −0.0436661 | − | 0.0601012i | 0.786626 | − | 0.617430i | \(-0.211826\pi\) |
−0.830292 | + | 0.557329i | \(0.811826\pi\) | |||||||
\(770\) | −320.578 | − | 321.335i | −0.416335 | − | 0.417318i | ||||
\(771\) | −337.405 | + | 378.603i | −0.437620 | + | 0.491054i | ||||
\(772\) | −7.47345 | − | 4.81143i | −0.00968064 | − | 0.00623242i | ||||
\(773\) | −924.491 | + | 471.052i | −1.19598 | + | 0.609381i | −0.934547 | − | 0.355841i | \(-0.884195\pi\) |
−0.261432 | + | 0.965222i | \(0.584195\pi\) | |||||||
\(774\) | 215.016 | + | 954.147i | 0.277798 | + | 1.23275i | ||||
\(775\) | −437.539 | + | 746.913i | −0.564566 | + | 0.963758i | ||||
\(776\) | 466.508 | + | 148.526i | 0.601170 | + | 0.191399i | ||||
\(777\) | 154.485 | + | 396.376i | 0.198823 | + | 0.510136i | ||||
\(778\) | −110.890 | + | 72.3247i | −0.142532 | + | 0.0929623i | ||||
\(779\) | 392.366 | − | 540.046i | 0.503679 | − | 0.693255i | ||||
\(780\) | 486.237 | + | 480.521i | 0.623381 | + | 0.616053i | ||||
\(781\) | 330.236 | − | 239.930i | 0.422837 | − | 0.307209i | ||||
\(782\) | 272.839 | + | 104.115i | 0.348900 | + | 0.133139i | ||||
\(783\) | −213.551 | − | 104.714i | −0.272735 | − | 0.133734i | ||||
\(784\) | −277.761 | − | 610.819i | −0.354287 | − | 0.779106i | ||||
\(785\) | −781.167 | + | 163.467i | −0.995117 | + | 0.208239i | ||||
\(786\) | 490.629 | − | 3.47934i | 0.624210 | − | 0.00442664i | ||||
\(787\) | 1130.24 | + | 575.884i | 1.43613 | + | 0.731746i | 0.986849 | − | 0.161643i | \(-0.0516794\pi\) |
0.449283 | + | 0.893389i | \(0.351679\pi\) | |||||||
\(788\) | −207.168 | − | 533.381i | −0.262904 | − | 0.676879i | ||||
\(789\) | 905.357 | + | 397.555i | 1.14747 | + | 0.503872i | ||||
\(790\) | 209.462 | + | 68.3314i | 0.265141 | + | 0.0864955i | ||||
\(791\) | −110.742 | − | 340.830i | −0.140003 | − | 0.430885i | ||||
\(792\) | 968.102 | + | 758.384i | 1.22235 | + | 0.957556i | ||||
\(793\) | 568.090 | − | 568.090i | 0.716381 | − | 0.716381i | ||||
\(794\) | −418.486 | + | 728.159i | −0.527060 | + | 0.917076i | ||||
\(795\) | −1277.66 | − | 487.579i | −1.60712 | − | 0.613307i | ||||
\(796\) | 311.145 | + | 1435.89i | 0.390886 | + | 1.80389i | ||||
\(797\) | 144.541 | − | 22.8931i | 0.181357 | − | 0.0287241i | −0.0650954 | − | 0.997879i | \(-0.520735\pi\) |
0.246452 | + | 0.969155i | \(0.420735\pi\) | |||||||
\(798\) | 199.236 | − | 202.081i | 0.249669 | − | 0.253235i | ||||
\(799\) | 271.899 | 0.340299 | ||||||||
\(800\) | −127.968 | − | 789.699i | −0.159960 | − | 0.987124i | ||||
\(801\) | −115.179 | + | 570.512i | −0.143794 | + | 0.712249i | ||||
\(802\) | 647.970 | − | 803.418i | 0.807943 | − | 1.00177i | ||||
\(803\) | 1866.68 | − | 295.653i | 2.32463 | − | 0.368186i | ||||
\(804\) | −491.750 | + | 56.1978i | −0.611629 | + | 0.0698977i | ||||
\(805\) | −66.0070 | + | 53.1074i | −0.0819962 | + | 0.0659719i | ||||
\(806\) | −393.154 | + | 684.081i | −0.487784 | + | 0.848736i | ||||
\(807\) | 775.373 | − | 634.479i | 0.960809 | − | 0.786219i | ||||
\(808\) | −558.641 | − | 280.482i | −0.691388 | − | 0.347132i | ||||
\(809\) | −450.461 | − | 1386.38i | −0.556812 | − | 1.71369i | −0.691111 | − | 0.722749i | \(-0.742878\pi\) |
0.134299 | − | 0.990941i | \(-0.457122\pi\) | |||||||
\(810\) | 693.542 | − | 418.449i | 0.856224 | − | 0.516604i | ||||
\(811\) | −592.054 | − | 192.370i | −0.730029 | − | 0.237201i | −0.0796631 | − | 0.996822i | \(-0.525384\pi\) |
−0.650366 | + | 0.759621i | \(0.725384\pi\) | |||||||
\(812\) | −33.9020 | − | 87.2850i | −0.0417513 | − | 0.107494i | ||||
\(813\) | −331.272 | + | 515.872i | −0.407469 | + | 0.634529i | ||||
\(814\) | 194.124 | + | 1812.50i | 0.238481 | + | 2.22666i | ||||
\(815\) | −523.263 | − | 912.959i | −0.642041 | − | 1.12020i | ||||
\(816\) | −353.266 | − | 1040.93i | −0.432924 | − | 1.27564i | ||||
\(817\) | 955.184 | + | 151.286i | 1.16914 | + | 0.185173i | ||||
\(818\) | −556.609 | − | 212.401i | −0.680451 | − | 0.259659i | ||||
\(819\) | −247.794 | + | 113.377i | −0.302557 | + | 0.138433i | ||||
\(820\) | 749.131 | + | 38.6616i | 0.913574 | + | 0.0471482i | ||||
\(821\) | 57.4697 | − | 79.1003i | 0.0699997 | − | 0.0963463i | −0.772582 | − | 0.634915i | \(-0.781035\pi\) |
0.842581 | + | 0.538569i | \(0.181035\pi\) | |||||||
\(822\) | 292.062 | + | 563.293i | 0.355307 | + | 0.685272i | ||||
\(823\) | −406.345 | + | 207.043i | −0.493736 | + | 0.251571i | −0.683085 | − | 0.730339i | \(-0.739362\pi\) |
0.189349 | + | 0.981910i | \(0.439362\pi\) | |||||||
\(824\) | −671.320 | − | 213.733i | −0.814708 | − | 0.259385i | ||||
\(825\) | −1265.49 | + | 198.883i | −1.53393 | + | 0.241070i | ||||
\(826\) | 552.489 | − | 247.294i | 0.668873 | − | 0.299387i | ||||
\(827\) | 1111.94 | − | 566.564i | 1.34455 | − | 0.685083i | 0.374328 | − | 0.927296i | \(-0.377873\pi\) |
0.970223 | + | 0.242214i | \(0.0778735\pi\) | |||||||
\(828\) | 159.988 | − | 164.591i | 0.193222 | − | 0.198782i | ||||
\(829\) | −167.809 | + | 230.970i | −0.202424 | + | 0.278613i | −0.898145 | − | 0.439699i | \(-0.855085\pi\) |
0.695721 | + | 0.718312i | \(0.255085\pi\) | |||||||
\(830\) | 41.4440 | + | 263.680i | 0.0499326 | + | 0.317686i | ||||
\(831\) | 245.350 | − | 143.331i | 0.295246 | − | 0.172480i | ||||
\(832\) | −122.602 | − | 718.807i | −0.147358 | − | 0.863950i | ||||
\(833\) | 948.589 | + | 150.242i | 1.13876 | + | 0.180362i | ||||
\(834\) | −180.128 | + | 132.833i | −0.215981 | + | 0.159272i | ||||
\(835\) | 818.331 | − | 903.101i | 0.980037 | − | 1.08156i | ||||
\(836\) | 1050.65 | − | 612.144i | 1.25676 | − | 0.732230i | ||||
\(837\) | 671.128 | + | 650.840i | 0.801825 | + | 0.777587i | ||||
\(838\) | 82.1679 | − | 1629.47i | 0.0980524 | − | 1.94447i | ||||
\(839\) | −1329.00 | − | 431.817i | −1.58402 | − | 0.514680i | −0.620934 | − | 0.783863i | \(-0.713246\pi\) |
−0.963089 | + | 0.269183i | \(0.913246\pi\) | |||||||
\(840\) | 312.438 | + | 63.8390i | 0.371950 | + | 0.0759989i | ||||
\(841\) | −235.904 | − | 726.038i | −0.280504 | − | 0.863303i | ||||
\(842\) | 315.417 | + | 1167.92i | 0.374605 | + | 1.38707i | ||||
\(843\) | −806.906 | − | 986.090i | −0.957184 | − | 1.16974i | ||||
\(844\) | 36.9647 | − | 365.591i | 0.0437970 | − | 0.433164i | ||||
\(845\) | 195.698 | − | 9.63694i | 0.231595 | − | 0.0114047i | ||||
\(846\) | 84.5351 | − | 196.282i | 0.0999233 | − | 0.232012i | ||||
\(847\) | 448.140 | − | 70.9785i | 0.529091 | − | 0.0837999i | ||||
\(848\) | 804.115 | + | 1217.06i | 0.948249 | + | 1.43521i | ||||
\(849\) | −1081.75 | − | 108.105i | −1.27415 | − | 0.127333i | ||||
\(850\) | 1044.02 | + | 470.260i | 1.22826 | + | 0.553247i | ||||
\(851\) | 340.232 | 0.399802 | ||||||||
\(852\) | −100.341 | + | 268.655i | −0.117772 | + | 0.315322i | ||||
\(853\) | 447.008 | − | 70.7991i | 0.524042 | − | 0.0830001i | 0.111192 | − | 0.993799i | \(-0.464533\pi\) |
0.412850 | + | 0.910799i | \(0.364533\pi\) | |||||||
\(854\) | 77.1949 | − | 366.736i | 0.0903922 | − | 0.429433i | ||||
\(855\) | −130.882 | − | 790.137i | −0.153078 | − | 0.924137i | ||||
\(856\) | −558.515 | + | 185.141i | −0.652470 | + | 0.216286i | ||||
\(857\) | −621.696 | + | 621.696i | −0.725433 | + | 0.725433i | −0.969706 | − | 0.244273i | \(-0.921451\pi\) |
0.244273 | + | 0.969706i | \(0.421451\pi\) | |||||||
\(858\) | −1151.93 | + | 190.832i | −1.34258 | + | 0.222415i | ||||
\(859\) | 405.661 | + | 1248.49i | 0.472247 | + | 1.45343i | 0.849634 | + | 0.527372i | \(0.176823\pi\) |
−0.377387 | + | 0.926056i | \(0.623177\pi\) | |||||||
\(860\) | 442.812 | + | 992.442i | 0.514898 | + | 1.15400i | ||||
\(861\) | −120.221 | + | 273.781i | −0.139629 | + | 0.317980i | ||||
\(862\) | 792.803 | + | 39.9781i | 0.919726 | + | 0.0463783i | ||||
\(863\) | 1252.25 | + | 638.056i | 1.45105 | + | 0.739346i | 0.989056 | − | 0.147538i | \(-0.0471348\pi\) |
0.461992 | + | 0.886884i | \(0.347135\pi\) | |||||||
\(864\) | −861.272 | − | 68.6094i | −0.996842 | − | 0.0794090i | ||||
\(865\) | 32.3137 | − | 298.384i | 0.0373569 | − | 0.344953i | ||||
\(866\) | 519.532 | − | 469.651i | 0.599922 | − | 0.542323i | ||||
\(867\) | 683.197 | + | 179.322i | 0.788002 | + | 0.206830i | ||||
\(868\) | 20.7154 | + | 367.476i | 0.0238657 | + | 0.423359i | ||||
\(869\) | −304.452 | + | 221.197i | −0.350348 | + | 0.254542i | ||||
\(870\) | −255.532 | − | 67.3928i | −0.293715 | − | 0.0774630i | ||||
\(871\) | 276.222 | − | 380.187i | 0.317132 | − | 0.436495i | ||||
\(872\) | −26.1411 | + | 171.629i | −0.0299784 | + | 0.196822i | ||||
\(873\) | 147.987 | + | 530.525i | 0.169516 | + | 0.607704i | ||||
\(874\) | −92.7214 | − | 207.153i | −0.106089 | − | 0.237017i | ||||
\(875\) | −270.576 | + | 192.698i | −0.309230 | + | 0.220226i | ||||
\(876\) | −978.657 | + | 897.388i | −1.11719 | + | 1.02442i | ||||
\(877\) | 321.657 | − | 163.892i | 0.366769 | − | 0.186878i | −0.260886 | − | 0.965370i | \(-0.584015\pi\) |
0.627655 | + | 0.778491i | \(0.284015\pi\) | |||||||
\(878\) | −697.783 | + | 455.109i | −0.794741 | + | 0.518347i | ||||
\(879\) | 134.191 | + | 119.589i | 0.152663 | + | 0.136051i | ||||
\(880\) | 1220.43 | + | 614.555i | 1.38685 | + | 0.698358i | ||||
\(881\) | −51.1973 | − | 70.4670i | −0.0581127 | − | 0.0799853i | 0.778972 | − | 0.627059i | \(-0.215742\pi\) |
−0.837084 | + | 0.547074i | \(0.815742\pi\) | |||||||
\(882\) | 403.381 | − | 638.070i | 0.457348 | − | 0.723435i | ||||
\(883\) | 867.052 | + | 137.328i | 0.981939 | + | 0.155524i | 0.626707 | − | 0.779255i | \(-0.284402\pi\) |
0.355231 | + | 0.934778i | \(0.384402\pi\) | |||||||
\(884\) | 955.125 | + | 420.733i | 1.08046 | + | 0.475943i | ||||
\(885\) | 351.908 | − | 1671.70i | 0.397637 | − | 1.88893i | ||||
\(886\) | 990.269 | − | 106.061i | 1.11768 | − | 0.119707i | ||||
\(887\) | −301.093 | + | 590.929i | −0.339451 | + | 0.666211i | −0.996124 | − | 0.0879655i | \(-0.971963\pi\) |
0.656672 | + | 0.754176i | \(0.271963\pi\) | |||||||
\(888\) | −816.899 | − | 986.312i | −0.919931 | − | 1.11071i | ||||
\(889\) | −122.735 | − | 39.8792i | −0.138060 | − | 0.0448585i | ||||
\(890\) | −0.762626 | + | 646.691i | −0.000856883 | + | 0.726619i | ||||
\(891\) | −116.435 | + | 1378.60i | −0.130679 | + | 1.54725i | ||||
\(892\) | −156.824 | − | 192.104i | −0.175812 | − | 0.215363i | ||||
\(893\) | −149.420 | − | 149.420i | −0.167324 | − | 0.167324i | ||||
\(894\) | −831.763 | − | 595.345i | −0.930384 | − | 0.665934i | ||||
\(895\) | −77.9329 | − | 204.953i | −0.0870758 | − | 0.228998i | ||||
\(896\) | −231.082 | − | 249.610i | −0.257904 | − | 0.278583i | ||||
\(897\) | 12.5189 | + | 217.575i | 0.0139564 | + | 0.242559i | ||||
\(898\) | 153.294 | + | 123.634i | 0.170706 | + | 0.137677i | ||||
\(899\) | − | 305.014i | − | 0.339281i | ||||||
\(900\) | 664.069 | − | 607.464i | 0.737855 | − | 0.674960i | ||||
\(901\) | −2087.85 | −2.31725 | ||||||||
\(902\) | −804.343 | + | 997.304i | −0.891733 | + | 1.10566i | ||||
\(903\) | −432.481 | + | 24.8843i | −0.478938 | + | 0.0275573i | ||||
\(904\) | 639.290 | + | 869.025i | 0.707179 | + | 0.961310i | ||||
\(905\) | −49.4116 | − | 1003.40i | −0.0545984 | − | 1.10873i | ||||
\(906\) | −88.9069 | + | 124.213i | −0.0981312 | + | 0.137100i | ||||
\(907\) | −1254.01 | + | 1254.01i | −1.38259 | + | 1.38259i | −0.542609 | + | 0.839986i | \(0.682563\pi\) |
−0.839986 | + | 0.542609i | \(0.817437\pi\) | |||||||
\(908\) | −691.922 | − | 847.580i | −0.762028 | − | 0.933458i | ||||
\(909\) | −80.6593 | − | 698.597i | −0.0887341 | − | 0.768533i | ||||
\(910\) | −245.162 | + | 177.679i | −0.269409 | + | 0.195252i | ||||
\(911\) | −63.9461 | + | 196.806i | −0.0701933 | + | 0.216033i | −0.979999 | − | 0.199001i | \(-0.936230\pi\) |
0.909806 | + | 0.415034i | \(0.136230\pi\) | |||||||
\(912\) | −377.899 | + | 766.169i | −0.414363 | + | 0.840098i | ||||
\(913\) | −406.212 | − | 206.975i | −0.444920 | − | 0.226698i | ||||
\(914\) | −147.186 | − | 1374.25i | −0.161035 | − | 1.50355i | ||||
\(915\) | −709.281 | − | 784.639i | −0.775171 | − | 0.857529i | ||||
\(916\) | −1181.83 | − | 520.598i | −1.29021 | − | 0.568339i | ||||
\(917\) | −33.9946 | + | 214.634i | −0.0370716 | + | 0.234061i | ||||
\(918\) | 761.482 | − | 974.388i | 0.829501 | − | 1.06142i | ||||
\(919\) | −360.786 | + | 262.126i | −0.392585 | + | 0.285230i | −0.766514 | − | 0.642227i | \(-0.778010\pi\) |
0.373929 | + | 0.927457i | \(0.378010\pi\) | |||||||
\(920\) | 138.310 | − | 214.278i | 0.150337 | − | 0.232911i | ||||
\(921\) | −99.8287 | + | 112.018i | −0.108392 | + | 0.121627i | ||||
\(922\) | 849.154 | + | 1301.94i | 0.920992 | + | 1.41209i | ||||
\(923\) | −123.616 | − | 242.611i | −0.133929 | − | 0.262850i | ||||
\(924\) | −401.455 | + | 368.118i | −0.434475 | + | 0.398396i | ||||
\(925\) | 1331.74 | + | 78.2247i | 1.43972 | + | 0.0845672i | ||||
\(926\) | 645.394 | − | 288.878i | 0.696970 | − | 0.311963i | ||||
\(927\) | −212.958 | − | 763.442i | −0.229728 | − | 0.823562i | ||||
\(928\) | 179.554 | + | 217.304i | 0.193485 | + | 0.234164i | ||||
\(929\) | −417.671 | − | 303.456i | −0.449592 | − | 0.326648i | 0.339842 | − | 0.940482i | \(-0.389626\pi\) |
−0.789435 | + | 0.613834i | \(0.789626\pi\) | |||||||
\(930\) | 873.396 | + | 562.315i | 0.939136 | + | 0.604640i | ||||
\(931\) | −438.726 | − | 603.855i | −0.471242 | − | 0.648609i | ||||
\(932\) | −82.4171 | − | 1462.02i | −0.0884303 | − | 1.56869i | ||||
\(933\) | −385.059 | + | 1467.04i | −0.412711 | + | 1.57239i | ||||
\(934\) | −491.575 | − | 543.784i | −0.526311 | − | 0.582210i | ||||
\(935\) | −1696.82 | + | 972.533i | −1.81478 | + | 1.04014i | ||||
\(936\) | 600.679 | − | 558.691i | 0.641751 | − | 0.596892i | ||||
\(937\) | −12.3714 | + | 24.2803i | −0.0132032 | + | 0.0259128i | −0.897514 | − | 0.440986i | \(-0.854629\pi\) |
0.884311 | + | 0.466899i | \(0.154629\pi\) | |||||||
\(938\) | 11.0403 | − | 218.939i | 0.0117700 | − | 0.233411i | ||||
\(939\) | −144.145 | − | 63.2961i | −0.153509 | − | 0.0674080i | ||||
\(940\) | 49.1852 | − | 232.308i | 0.0523247 | − | 0.247137i | ||||
\(941\) | −116.768 | + | 37.9403i | −0.124089 | + | 0.0403191i | −0.370403 | − | 0.928871i | \(-0.620781\pi\) |
0.246314 | + | 0.969190i | \(0.420781\pi\) | |||||||
\(942\) | 156.522 | + | 944.827i | 0.166159 | + | 1.00300i | ||||
\(943\) | 169.097 | + | 169.097i | 0.179318 | + | 0.179318i | ||||
\(944\) | −1344.50 | + | 1229.97i | −1.42426 | + | 1.30294i | ||||
\(945\) | 132.639 | + | 333.335i | 0.140359 | + | 0.352735i | ||||
\(946\) | −1816.40 | − | 382.337i | −1.92009 | − | 0.404162i | ||||
\(947\) | 71.9901 | + | 454.527i | 0.0760191 | + | 0.479965i | 0.996100 | + | 0.0882362i | \(0.0281230\pi\) |
−0.920081 | + | 0.391729i | \(0.871877\pi\) | |||||||
\(948\) | 92.5071 | − | 247.679i | 0.0975813 | − | 0.261265i | ||||
\(949\) | − | 1260.70i | − | 1.32846i | ||||||
\(950\) | −315.305 | − | 832.161i | −0.331900 | − | 0.875959i | ||||
\(951\) | 3.13868 | − | 31.4071i | 0.00330039 | − | 0.0330253i | ||||
\(952\) | 480.407 | − | 79.0116i | 0.504629 | − | 0.0829954i | ||||
\(953\) | −287.411 | − | 1814.64i | −0.301585 | − | 1.90413i | −0.413655 | − | 0.910434i | \(-0.635748\pi\) |
0.112070 | − | 0.993700i | \(-0.464252\pi\) | |||||||
\(954\) | −649.124 | + | 1507.21i | −0.680424 | + | 1.57988i | ||||
\(955\) | 929.350 | + | 252.164i | 0.973141 | + | 0.264046i | ||||
\(956\) | −70.1029 | + | 693.336i | −0.0733294 | + | 0.725247i | ||||
\(957\) | 349.332 | − | 285.854i | 0.365028 | − | 0.298698i | ||||
\(958\) | −1738.92 | + | 469.629i | −1.81516 | + | 0.490218i | ||||
\(959\) | −267.274 | + | 86.8425i | −0.278701 | + | 0.0905553i | ||||
\(960\) | −953.263 | + | 113.530i | −0.992983 | + | 0.118260i | ||||
\(961\) | −73.5182 | + | 226.266i | −0.0765018 | + | 0.235448i | ||||
\(962\) | 1214.41 | + | 61.2382i | 1.26238 | + | 0.0636572i | ||||
\(963\) | −518.667 | − | 411.295i | −0.538595 | − | 0.427097i | ||||
\(964\) | −269.083 | + | 156.777i | −0.279132 | + | 0.162631i | ||||
\(965\) | −2.27568 | − | 10.8749i | −0.00235822 | − | 0.0112693i | ||||
\(966\) | 60.3377 | + | 81.8211i | 0.0624613 | + | 0.0847010i | ||||
\(967\) | 156.899 | − | 990.624i | 0.162254 | − | 1.02443i | −0.763364 | − | 0.645969i | \(-0.776453\pi\) |
0.925617 | − | 0.378461i | \(-0.123547\pi\) | |||||||
\(968\) | −1213.33 | + | 627.312i | −1.25344 | + | 0.648049i | ||||
\(969\) | −616.786 | − | 1055.80i | −0.636518 | − | 1.08957i | ||||
\(970\) | 277.188 | + | 545.602i | 0.285761 | + | 0.562477i | ||||
\(971\) | −354.313 | − | 257.423i | −0.364895 | − | 0.265112i | 0.390196 | − | 0.920732i | \(-0.372407\pi\) |
−0.755091 | + | 0.655620i | \(0.772407\pi\) | |||||||
\(972\) | −466.656 | − | 852.652i | −0.480099 | − | 0.877214i | ||||
\(973\) | −45.0027 | − | 88.3227i | −0.0462515 | − | 0.0907736i | ||||
\(974\) | 753.730 | + | 1683.94i | 0.773850 | + | 1.72889i | ||||
\(975\) | −1.02209 | + | 854.516i | −0.00104830 | + | 0.876427i | ||||
\(976\) | 126.797 | + | 1121.07i | 0.129915 | + | 1.14864i | ||||
\(977\) | −101.842 | − | 199.875i | −0.104239 | − | 0.204581i | 0.832996 | − | 0.553279i | \(-0.186624\pi\) |
−0.937235 | + | 0.348699i | \(0.886624\pi\) | |||||||
\(978\) | −1121.02 | + | 581.236i | −1.14623 | + | 0.594311i | ||||
\(979\) | −893.616 | − | 649.250i | −0.912785 | − | 0.663177i | ||||
\(980\) | 299.960 | − | 783.289i | 0.306082 | − | 0.799274i | ||||
\(981\) | −177.602 | + | 81.2605i | −0.181041 | + | 0.0828343i | ||||
\(982\) | 242.896 | − | 636.524i | 0.247349 | − | 0.648192i | ||||
\(983\) | 173.986 | − | 1098.51i | 0.176995 | − | 1.11750i | −0.725950 | − | 0.687748i | \(-0.758599\pi\) |
0.902945 | − | 0.429756i | \(-0.141401\pi\) | |||||||
\(984\) | 84.1991 | − | 896.207i | 0.0855682 | − | 0.910779i | ||||
\(985\) | 292.979 | − | 652.493i | 0.297441 | − | 0.662430i | ||||
\(986\) | −401.171 | + | 42.9666i | −0.406868 | + | 0.0435767i | ||||
\(987\) | 79.6469 | + | 51.1460i | 0.0806960 | + | 0.0518197i | ||||
\(988\) | −293.671 | − | 756.094i | −0.297238 | − | 0.765277i | ||||
\(989\) | −107.060 | + | 329.497i | −0.108251 | + | 0.333162i | ||||
\(990\) | 174.515 | + | 1527.29i | 0.176278 | + | 1.54272i | ||||
\(991\) | −1088.67 | + | 353.730i | −1.09856 | + | 0.356943i | −0.801547 | − | 0.597932i | \(-0.795989\pi\) |
−0.297010 | + | 0.954874i | \(0.595989\pi\) | |||||||
\(992\) | −407.277 | − | 1030.44i | −0.410562 | − | 1.03875i | ||||
\(993\) | 193.774 | + | 236.804i | 0.195140 | + | 0.238473i | ||||
\(994\) | −110.126 | − | 63.2914i | −0.110791 | − | 0.0636735i | ||||
\(995\) | −1005.10 | + | 1537.07i | −1.01015 | + | 1.54480i | ||||
\(996\) | 318.229 | − | 36.3676i | 0.319507 | − | 0.0365136i | ||||
\(997\) | 111.608 | + | 704.662i | 0.111943 | + | 0.706782i | 0.978275 | + | 0.207313i | \(0.0664718\pi\) |
−0.866331 | + | 0.499470i | \(0.833528\pi\) | |||||||
\(998\) | 618.167 | + | 498.562i | 0.619406 | + | 0.499561i | ||||
\(999\) | 424.141 | − | 1376.92i | 0.424566 | − | 1.37830i |
(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 | 300.3.u.a.47.25 | ✓ | 928 | |
3.2 | odd | 2 | inner | 300.3.u.a.47.92 | yes | 928 | |
4.3 | odd | 2 | inner | 300.3.u.a.47.56 | yes | 928 | |
12.11 | even | 2 | inner | 300.3.u.a.47.61 | yes | 928 | |
25.8 | odd | 20 | inner | 300.3.u.a.83.61 | yes | 928 | |
75.8 | even | 20 | inner | 300.3.u.a.83.56 | yes | 928 | |
100.83 | even | 20 | inner | 300.3.u.a.83.92 | yes | 928 | |
300.83 | odd | 20 | inner | 300.3.u.a.83.25 | yes | 928 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.u.a.47.25 | ✓ | 928 | 1.1 | even | 1 | trivial | |
300.3.u.a.47.56 | yes | 928 | 4.3 | odd | 2 | inner | |
300.3.u.a.47.61 | yes | 928 | 12.11 | even | 2 | inner | |
300.3.u.a.47.92 | yes | 928 | 3.2 | odd | 2 | inner | |
300.3.u.a.83.25 | yes | 928 | 300.83 | odd | 20 | inner | |
300.3.u.a.83.56 | yes | 928 | 75.8 | even | 20 | inner | |
300.3.u.a.83.61 | yes | 928 | 25.8 | odd | 20 | inner | |
300.3.u.a.83.92 | yes | 928 | 100.83 | even | 20 | inner |